\\ bsd_p5_301-600.gp \\ --------------------------------------------------------------- \\ N,i = i-th newform at level N (forms ordered by trace). \\ bsd[N,i] = odd_part(L(A_f,1)/Omega*(manin constant)) \\ deg[N,i] = odd_part(modular degree) \\ dsc[N,i] = disc(O_f) \\ E [N,i] = [g(x), denom*[a_1(x), a_2(x), ..., a_5(x)]] \\ 301 <= N <= 600 \\ \\ Thu Mar 4 06:26:04 1999 \\ William Stein (was@math.berkeley.edu) \\ --------------------------------------------------------------- bsd[301,1] = 0 ; deg[301,1] = 7 ; dsc[301,1] = 19*103 ; E [301,1] = [x^4+4*x^3+2*x^2-5*x-3, [1,x,-x^3-2*x^2+2*x+1,x^2-2,-x^2-2*x]]; bsd[301,2] = 0 ; deg[301,2] = 1 ; dsc[301,2] = 81509 ; E [301,2] = [x^5-6*x^3+x^2+5*x-2, [1,x,x^4+x^3-6*x^2-5*x+4,x^2-2,-2*x^4-2*x^3+11*x^2+8*x-8]]; bsd[301,3] = 1 ; deg[301,3] = 17 ; dsc[301,3] = 31*9739 ; E [301,3] = [x^5-x^4-6*x^3+5*x^2+6*x-1, [1,x,-x^3+4*x+1,x^2-2,x^4-5*x^2+x+3]]; bsd[301,4] = 1/11 ; deg[301,4] = 1 ; dsc[301,4] = 2^2*37*32366197 ; E [301,4] = [x^7-4*x^6-3*x^5+25*x^4-13*x^3-23*x^2+11*x+2, [1,x,-x^5+x^4+7*x^3-5*x^2-8*x+2,x^2-2,x^6-2*x^5-6*x^4+11*x^3+4*x^2-6*x]]; bsd[302,1] = 1 ; deg[302,1] = 3^3 ; dsc[302,1] = 1 ; E [302,1] = [x, [1,-1,2,1,2]]; bsd[302,2] = 0 ; deg[302,2] = 5 ; dsc[302,2] = 1 ; E [302,2] = [x, [1,1,-3,1,0]]; bsd[302,3] = 0 ; deg[302,3] = 3*5 ; dsc[302,3] = 1 ; E [302,3] = [x, [1,1,-1,1,-4]]; bsd[302,4] = 0 ; deg[302,4] = 7 ; dsc[302,4] = 2^3 ; E [302,4] = [x^2+2*x-1, [1,-1,x,1,0]]; bsd[302,5] = 1/3 ; deg[302,5] = 3^3*431 ; dsc[302,5] = 2^4*1613 ; E [302,5] = [x^4-10*x^2-6*x+9, [3,-3,3*x,3,2*x^3-3*x^2-14*x+3]]; bsd[302,6] = 41/19 ; deg[302,6] = 41 ; dsc[302,6] = 2^4*389 ; E [302,6] = [x^4-2*x^3-4*x^2+8*x-1, [1,1,x,1,-x^2+3]]; bsd[303,1] = 0 ; deg[303,1] = 1 ; dsc[303,1] = 1 ; E [303,1] = [x, [1,-2,1,2,-1]]; bsd[303,2] = 0 ; deg[303,2] = 7 ; dsc[303,2] = 1 ; E [303,2] = [x, [1,0,1,-2,-3]]; bsd[303,3] = 0 ; deg[303,3] = 1 ; dsc[303,3] = 2^3 ; E [303,3] = [x^2-2, [1,x,-1,0,-x-1]]; bsd[303,4] = 3/17 ; deg[303,4] = 3 ; dsc[303,4] = 2^2*3083683 ; E [303,4] = [x^6-x^5-7*x^4+5*x^3+13*x^2-4*x-6, [1,x,1,x^2-2,x^4-x^3-5*x^2+3*x+5]]; bsd[303,5] = 1 ; deg[303,5] = 1103 ; dsc[303,5] = 2^4*89*3678833 ; E [303,5] = [x^7-12*x^5+40*x^3+x^2-24*x-4, [1,x,-1,x^2-2,x^6+x^5-8*x^4-6*x^3+14*x^2+3*x-3]]; bsd[304,1] = 0 ; deg[304,1] = 3 ; dsc[304,1] = 1 ; E [304,1] = [x, [1,0,-2,0,-1]]; bsd[304,2] = 0 ; deg[304,2] = 1 ; dsc[304,2] = 1 ; E [304,2] = [x, [1,0,-1,0,0]]; bsd[304,3] = 1 ; deg[304,3] = 3 ; dsc[304,3] = 1 ; E [304,3] = [x, [1,0,-1,0,0]]; bsd[304,4] = 0 ; deg[304,4] = 3 ; dsc[304,4] = 1 ; E [304,4] = [x, [1,0,1,0,-4]]; bsd[304,5] = 1 ; deg[304,5] = 1 ; dsc[304,5] = 1 ; E [304,5] = [x, [1,0,2,0,-1]]; bsd[304,6] = 1 ; deg[304,6] = 3 ; dsc[304,6] = 1 ; E [304,6] = [x, [1,0,2,0,3]]; bsd[304,7] = 1 ; deg[304,7] = 1 ; dsc[304,7] = 31^2 ; E [304,7] = [x^3+x^2-10*x-8, [2,0,2*x,0,-x^2+x+8]]; bsd[305,1] = 0 ; deg[305,1] = 3 ; dsc[305,1] = 3^4 ; E [305,1] = [x^3-3*x+1, [1,x,-x,x^2-2,-1]]; bsd[305,2] = 0 ; deg[305,2] = 37 ; dsc[305,2] = 2777 ; E [305,2] = [x^4+3*x^3-x^2-6*x-1, [1,x,-x^3-2*x^2+2*x+1,x^2-2,1]]; bsd[305,3] = 1/3 ; deg[305,3] = 139 ; dsc[305,3] = 2^8*82219057 ; E [305,3] = [x^7+2*x^6-11*x^5-19*x^4+35*x^3+48*x^2-25*x-27, [2,2*x,-x^5+8*x^3-x^2-11*x-1,2*x^2-4,-2]]; bsd[305,4] = 3^2/31 ; deg[305,4] = 3^2 ; dsc[305,4] = 2^10*31*43*977 ; E [305,4] = [x^7-2*x^6-9*x^5+17*x^4+19*x^3-36*x^2+5*x+1, [2,2*x,-x^6+2*x^5+8*x^4-15*x^3-15*x^2+27*x,2*x^2-4,2]]; bsd[306,1] = 0 ; deg[306,1] = 3 ; dsc[306,1] = 1 ; E [306,1] = [x, [1,-1,0,1,0]]; bsd[306,2] = 1 ; deg[306,2] = 1 ; dsc[306,2] = 1 ; E [306,2] = [x, [1,-1,0,1,2]]; bsd[306,3] = 3 ; deg[306,3] = 3 ; dsc[306,3] = 1 ; E [306,3] = [x, [1,1,0,1,0]]; bsd[306,4] = 1 ; deg[306,4] = 1 ; dsc[306,4] = 1 ; E [306,4] = [x, [1,1,0,1,4]]; bsd[306,5] = 1/3 ; deg[306,5] = 5 ; dsc[306,5] = 2^3*3 ; E [306,5] = [x^2-6, [1,-1,0,1,x]]; bsd[306,6] = 5/3 ; deg[306,6] = 3*5 ; dsc[306,6] = 2^3*3 ; E [306,6] = [x^2-6, [1,1,0,1,x]]; bsd[307,1] = 1 ; deg[307,1] = 13 ; dsc[307,1] = 1 ; E [307,1] = [x, [1,0,0,-2,4]]; bsd[307,2] = 1 ; deg[307,2] = 5 ; dsc[307,2] = 1 ; E [307,2] = [x, [1,1,2,-1,0]]; bsd[307,3] = 1 ; deg[307,3] = 11 ; dsc[307,3] = 1 ; E [307,3] = [x, [1,2,0,2,2]]; bsd[307,4] = 1 ; deg[307,4] = 3*5 ; dsc[307,4] = 1 ; E [307,4] = [x, [1,2,2,2,0]]; bsd[307,5] = 1/3 ; deg[307,5] = 3*107 ; dsc[307,5] = 13 ; E [307,5] = [x^2+x-3, [1,x,-x-2,-x+1,3]]; bsd[307,6] = 1/17 ; deg[307,6] = 5^2*11*13*107 ; dsc[307,6] = 5*457*3697*974513 ; E [307,6] = [x^9-3*x^8-11*x^7+30*x^6+46*x^5-87*x^4-91*x^3+50*x^2+62*x+13, [1,x,-x^8+2*x^7+11*x^6-18*x^5-38*x^4+44*x^3+39*x^2-24*x-13,x^2-2,x^7-x^6-11*x^5+5*x^4+36*x^3+3*x^2-24*x-9]]; bsd[307,7] = 0 ; deg[307,7] = 1 ; dsc[307,7] = 21577*568380457 ; E [307,7] = [x^10+7*x^9+10*x^8-28*x^7-73*x^6+16*x^5+128*x^4+26*x^3-69*x^2-18*x-1, [1,x,x^9+6*x^8+5*x^7-29*x^6-48*x^5+37*x^4+91*x^3-7*x^2-52*x-6,x^2-2,-x^9-6*x^8-4*x^7+34*x^6+50*x^5-57*x^4-111*x^3+22*x^2+69*x+7]]; bsd[308,1] = 0 ; deg[308,1] = 3 ; dsc[308,1] = 1 ; E [308,1] = [x, [1,0,-1,0,-1]]; bsd[308,2] = 3 ; deg[308,2] = 3^2*5 ; dsc[308,2] = 2^3*3 ; E [308,2] = [x^2-6, [1,0,x,0,2]]; bsd[308,3] = 1 ; deg[308,3] = 3^3 ; dsc[308,3] = 2^3*127 ; E [308,3] = [x^3+x^2-6*x-2, [1,0,x,0,-x^2+4]]; bsd[309,1] = 0 ; deg[309,1] = 5 ; dsc[309,1] = 1 ; E [309,1] = [x, [1,-1,1,-1,-1]]; bsd[309,2] = 1 ; deg[309,2] = 89 ; dsc[309,2] = 2^2*37 ; E [309,2] = [x^3-x^2-3*x+1, [1,x,-1,x^2-2,x]]; bsd[309,3] = 0 ; deg[309,3] = 3^2 ; dsc[309,3] = 81509 ; E [309,3] = [x^5+2*x^4-4*x^3-6*x^2+4*x+1, [1,x,-1,x^2-2,x^4+x^3-5*x^2-3*x+3]]; bsd[309,4] = 5^2/13 ; deg[309,4] = 5^2 ; dsc[309,4] = 2^2*5*109363884517 ; E [309,4] = [x^8+x^7-13*x^6-11*x^5+52*x^4+35*x^3-59*x^2-27*x+1, [2,2*x,2,2*x^2-4,-x^7+11*x^5-36*x^3-3*x^2+34*x+7]]; bsd[310,1] = 0 ; deg[310,1] = 3 ; dsc[310,1] = 1 ; E [310,1] = [x, [1,1,-2,1,-1]]; bsd[310,2] = 3 ; deg[310,2] = 3 ; dsc[310,2] = 1 ; E [310,2] = [x, [1,1,2,1,-1]]; bsd[310,3] = 0 ; deg[310,3] = 3 ; dsc[310,3] = 2^2*3 ; E [310,3] = [x^2+2*x-2, [1,-1,x,1,-1]]; bsd[310,4] = 1 ; deg[310,4] = 23 ; dsc[310,4] = 2^3*3 ; E [310,4] = [x^2-6, [1,-1,x,1,1]]; bsd[310,5] = 5 ; deg[310,5] = 5^2 ; dsc[310,5] = 2^4*37 ; E [310,5] = [x^3-2*x^2-4*x+4, [1,1,x,1,1]]; bsd[311,1] = 0 ; deg[311,1] = 1 ; dsc[311,1] = 5^2*29 ; E [311,1] = [x^4+x^3-3*x^2-x+1, [1,x,-x^3-x^2+2*x,x^2-2,x^3+x^2-3*x-1]]; bsd[311,2] = 1/5*31 ; deg[311,2] = 1 ; dsc[311,2] = 3013091897*2106873009119126062143259000543887593 ; E [311,2] = [x^22-2*x^21-35*x^20+70*x^19+517*x^18-1033*x^17-4195*x^16+8357*x^15+20417*x^14-40403*x^13-61287*x^12+119701*x^11+113017*x^10-215615*x^9-124399*x^8+228609*x^7+76453*x^6-133295*x^5-23503*x^4+36742*x^3+3587*x^2-3200*x-473, [106341562018576649119,106341562018576649119*x,-1333218028123436678*x^21+1367946423136236257*x^20+49328489263264063408*x^19-48698618113739814119*x^18-780071490285978038489*x^17+731764058773877640305*x^16+6883435129930837071209*x^15-6029718454604453812991*x^14-37117408682963362048611*x^13+29643589741202443321628*x^12+125904278451589035925849*x^11-88764078616540344648331*x^10-266400248133720180154691*x^9+159042733994278329421197*x^8+336261615438596631255820*x^7-162008001244132052237259*x^6-230084343080867524283273*x^5+85032171085335940948597*x^4+71086649415902837709445*x^3-17051195074052769029465*x^2-6284781941061791629214*x-87513220437116449887,106341562018576649119*x^2-212683124037153298238,-21242974024529590*x^21-1434491652110563978*x^20+3209217338769634321*x^19+48282217898366329351*x^18-94578303848943192367*x^17-676590780104692901915*x^16+1270815302353166006692*x^15+5102603103564094427213*x^14-9439579417621543494677*x^13-22357866355125222974699*x^12+41280678241435124160901*x^11+57441564627509462184517*x^10-106882614769975285857639*x^9-83882843771650414225579*x^8+158593036380613931304765*x^7+66319079553842412941717*x^6-126427357236440356717803*x^5-28369596568106140688094*x^4+47782658911006380501745*x^3+8238984211089590694971*x^2-6439892278957108980653*x-1313955819411519890238]]; bsd[312,1] = 1 ; deg[312,1] = 1 ; dsc[312,1] = 1 ; E [312,1] = [x, [1,0,-1,0,-2]]; bsd[312,2] = 0 ; deg[312,2] = 1 ; dsc[312,2] = 1 ; E [312,2] = [x, [1,0,-1,0,0]]; bsd[312,3] = 1 ; deg[312,3] = 3*5 ; dsc[312,3] = 1 ; E [312,3] = [x, [1,0,-1,0,4]]; bsd[312,4] = 0 ; deg[312,4] = 3 ; dsc[312,4] = 1 ; E [312,4] = [x, [1,0,1,0,-4]]; bsd[312,5] = 1 ; deg[312,5] = 1 ; dsc[312,5] = 1 ; E [312,5] = [x, [1,0,1,0,0]]; bsd[312,6] = 1 ; deg[312,6] = 1 ; dsc[312,6] = 1 ; E [312,6] = [x, [1,0,1,0,2]]; bsd[313,1] = 1 ; deg[313,1] = 41 ; dsc[313,1] = 5 ; E [313,1] = [x^2-x-1, [1,x,-x+2,x-1,x+1]]; bsd[313,2] = 0 ; deg[313,2] = 1 ; dsc[313,2] = 9614923*130838023 ; E [313,2] = [x^11+8*x^10+16*x^9-26*x^8-121*x^7-62*x^6+190*x^5+196*x^4-76*x^3-122*x^2+2*x+17, [13,13*x,-29*x^10-184*x^9-159*x^8+1023*x^7+1831*x^6-1251*x^5-3525*x^4+133*x^3+2052*x^2+138*x-290,13*x^2-26,3*x^10+15*x^9-10*x^8-126*x^7-37*x^6+341*x^5+132*x^4-302*x^3-76*x^2+31*x+4]]; bsd[313,3] = 1/13 ; deg[313,3] = 41 ; dsc[313,3] = 2^2*8619587*2164322751511 ; E [313,3] = [x^12-6*x^11-2*x^10+69*x^9-68*x^8-268*x^7+399*x^6+368*x^5-701*x^4-57*x^3+262*x^2-22*x-19, [2,2*x,2*x^10-6*x^9-24*x^8+70*x^7+108*x^6-278*x^5-224*x^4+400*x^3+200*x^2-94*x-34,2*x^2-4,2*x^11-8*x^10-18*x^9+94*x^8+36*x^7-380*x^6+68*x^5+580*x^4-226*x^3-210*x^2+66*x+16]]; bsd[314,1] = 0 ; deg[314,1] = 5 ; dsc[314,1] = 1 ; E [314,1] = [x, [1,-1,0,1,0]]; bsd[314,2] = 1/3 ; deg[314,2] = 19*113 ; dsc[314,2] = 3*53*337*907 ; E [314,2] = [x^6-3*x^5-9*x^4+26*x^3+20*x^2-43*x-25, [13,-13,13*x,13,-5*x^5+8*x^4+51*x^3-56*x^2-103*x+24]]; bsd[314,3] = 709/79 ; deg[314,3] = 709 ; dsc[314,3] = 47*176130259 ; E [314,3] = [x^7+x^6-17*x^5-6*x^4+84*x^3-19*x^2-73*x+4, [15,15,15*x,15,-5*x^5+55*x^3-20*x^2-95*x+20]]; bsd[315,1] = 0 ; deg[315,1] = 1 ; dsc[315,1] = 1 ; E [315,1] = [x, [1,-1,0,-1,-1]]; bsd[315,2] = 1 ; deg[315,2] = 5 ; dsc[315,2] = 1 ; E [315,2] = [x, [1,0,0,-2,1]]; bsd[315,3] = 0 ; deg[315,3] = 1 ; dsc[315,3] = 2^3 ; E [315,3] = [x^2+2*x-1, [1,x,0,-2*x-1,-1]]; bsd[315,4] = 1 ; deg[315,4] = 5 ; dsc[315,4] = 2^2*5 ; E [315,4] = [x^2-5, [1,x,0,3,1]]; bsd[315,5] = 1 ; deg[315,5] = 1 ; dsc[315,5] = 17 ; E [315,5] = [x^2-x-4, [1,x,0,x+2,-1]]; bsd[315,6] = 1 ; deg[315,6] = 3^2 ; dsc[315,6] = 2^3 ; E [315,6] = [x^2-2*x-1, [1,x,0,2*x-1,1]]; bsd[316,1] = 0 ; deg[316,1] = 3^2 ; dsc[316,1] = 1 ; E [316,1] = [x, [1,0,-3,0,1]]; bsd[316,2] = 1 ; deg[316,2] = 3^2 ; dsc[316,2] = 1 ; E [316,2] = [x, [1,0,-1,0,1]]; bsd[316,3] = 0 ; deg[316,3] = 3^3 ; dsc[316,3] = 13 ; E [316,3] = [x^2+5*x+3, [1,0,0,0,x]]; bsd[316,4] = 3 ; deg[316,4] = 3^3 ; dsc[316,4] = 13 ; E [316,4] = [x^2-3*x-1, [1,0,2,0,x]]; bsd[317,1] = 0 ; deg[317,1] = 1 ; dsc[317,1] = 367*3217*660603043 ; E [317,1] = [x^11+3*x^10-10*x^9-32*x^8+31*x^7+109*x^6-42*x^5-147*x^4+35*x^3+68*x^2-19*x-1, [1046,1046*x,113*x^10-308*x^9-2162*x^8+4042*x^7+12971*x^6-18250*x^5-28022*x^4+33587*x^3+17524*x^2-20784*x+1175,1046*x^2-2092,468*x^10+1668*x^9-3900*x^8-17176*x^7+7206*x^6+54916*x^5+4*x^4-67560*x^3-3466*x^2+26704*x-1928]]; bsd[317,2] = 1/79 ; deg[317,2] = 1 ; dsc[317,2] = 2^4*7*14989400036918065702697531 ; E [317,2] = [x^15-x^14-22*x^13+22*x^12+188*x^11-184*x^10-786*x^9+723*x^8+1666*x^7-1315*x^6-1715*x^5+910*x^4+829*x^3-168*x^2-129*x+1, [9028,9028*x,-2929*x^14+6610*x^13+62146*x^12-141208*x^11-497546*x^10+1147126*x^9+1838946*x^8-4378801*x^7-3005667*x^6+7741472*x^5+1592783*x^4-5224775*x^3-153144*x^2+994572*x-29861,9028*x^2-18056,13774*x^14-21574*x^13-289662*x^12+465758*x^11+2307270*x^10-3819202*x^9-8563554*x^8+14681512*x^7+14433530*x^6-25983162*x^5-8822896*x^4+17245030*x^3+1692098*x^2-3153974*x+11572]]; bsd[318,1] = 0 ; deg[318,1] = 3 ; dsc[318,1] = 1 ; E [318,1] = [x, [1,-1,-1,1,-1]]; bsd[318,2] = 1 ; deg[318,2] = 3*17 ; dsc[318,2] = 1 ; E [318,2] = [x, [1,-1,-1,1,4]]; bsd[318,3] = 1/3 ; deg[318,3] = 3*5 ; dsc[318,3] = 1 ; E [318,3] = [x, [1,-1,1,1,0]]; bsd[318,4] = 0 ; deg[318,4] = 11 ; dsc[318,4] = 1 ; E [318,4] = [x, [1,1,-1,1,-3]]; bsd[318,5] = 1 ; deg[318,5] = 5 ; dsc[318,5] = 1 ; E [318,5] = [x, [1,1,-1,1,0]]; bsd[318,6] = 5 ; deg[318,6] = 5^2*43 ; dsc[318,6] = 41 ; E [318,6] = [x^2-x-10, [1,-1,1,1,x]]; bsd[318,7] = 1 ; deg[318,7] = 13 ; dsc[318,7] = 17 ; E [318,7] = [x^2-x-4, [1,1,1,1,x]]; bsd[319,1] = 1 ; deg[319,1] = 23 ; dsc[319,1] = 1 ; E [319,1] = [x, [1,2,-3,2,1]]; bsd[319,2] = 0 ; deg[319,2] = 3*17 ; dsc[319,2] = 3^4 ; E [319,2] = [x^3-3*x-1, [1,x,-x,x^2-2,-2*x^2+x+2]]; bsd[319,3] = 0 ; deg[319,3] = 1 ; dsc[319,3] = 2777 ; E [319,3] = [x^4+2*x^3-3*x^2-3*x+2, [1,x,-x^3-2*x^2+2*x+1,x^2-2,x^3+2*x^2-2*x-3]]; bsd[319,4] = 1/5 ; deg[319,4] = 3*5 ; dsc[319,4] = 127*1063*6709 ; E [319,4] = [x^7-3*x^6-4*x^5+15*x^4+x^3-14*x^2+1, [1,x,-x^4+x^3+5*x^2-3*x-3,x^2-2,x^5-x^4-6*x^3+4*x^2+7*x-1]]; bsd[319,5] = 1 ; deg[319,5] = 23*167 ; dsc[319,5] = 1433*2459*65551 ; E [319,5] = [x^8-13*x^6-x^5+50*x^4+7*x^3-54*x^2-5*x+1, [9,9*x,-x^7-x^6+16*x^5+10*x^4-78*x^3-25*x^2+113*x+14,9*x^2-18,4*x^7-2*x^6-49*x^5+17*x^4+168*x^3-26*x^2-143*x+13]]; bsd[320,1] = 0 ; deg[320,1] = 1 ; dsc[320,1] = 1 ; E [320,1] = [x, [1,0,-2,0,1]]; bsd[320,2] = 1 ; deg[320,2] = 1 ; dsc[320,2] = 1 ; E [320,2] = [x, [1,0,-2,0,1]]; bsd[320,3] = 0 ; deg[320,3] = 1 ; dsc[320,3] = 1 ; E [320,3] = [x, [1,0,0,0,-1]]; bsd[320,4] = 1 ; deg[320,4] = 1 ; dsc[320,4] = 1 ; E [320,4] = [x, [1,0,0,0,-1]]; bsd[320,5] = 1 ; deg[320,5] = 1 ; dsc[320,5] = 1 ; E [320,5] = [x, [1,0,2,0,1]]; bsd[320,6] = 1 ; deg[320,6] = 1 ; dsc[320,6] = 1 ; E [320,6] = [x, [1,0,2,0,1]]; bsd[320,7] = 1 ; deg[320,7] = 1 ; dsc[320,7] = 2^5 ; E [320,7] = [x^2-8, [1,0,x,0,-1]]; bsd[321,1] = 0 ; deg[321,1] = 5 ; dsc[321,1] = 5 ; E [321,1] = [x^2+x-1, [1,-x-1,-1,x,1]]; bsd[321,2] = 0 ; deg[321,2] = 41 ; dsc[321,2] = 5 ; E [321,2] = [x^2+x-1, [1,-x-1,1,x,-3]]; bsd[321,3] = 29/3^2 ; deg[321,3] = 29 ; dsc[321,3] = 2^4*826957 ; E [321,3] = [x^6-3*x^5-5*x^4+18*x^3+x^2-19*x+3, [2,2*x,2,2*x^2-4,x^5-x^4-8*x^3+5*x^2+13*x]]; bsd[321,4] = 1 ; deg[321,4] = 14051 ; dsc[321,4] = 2^4*21803*24443 ; E [321,4] = [x^7-14*x^5-x^4+55*x^3+8*x^2-46*x-19, [4,4*x,-4,4*x^2-8,-x^6+x^5+11*x^4-10*x^3-31*x^2+25*x+13]]; bsd[322,1] = 0 ; deg[322,1] = 3 ; dsc[322,1] = 1 ; E [322,1] = [x, [1,-1,0,1,-2]]; bsd[322,2] = 1 ; deg[322,2] = 7 ; dsc[322,2] = 1 ; E [322,2] = [x, [1,-1,2,1,0]]; bsd[322,3] = 0 ; deg[322,3] = 5 ; dsc[322,3] = 1 ; E [322,3] = [x, [1,1,-2,1,-2]]; bsd[322,4] = 1 ; deg[322,4] = 3 ; dsc[322,4] = 1 ; E [322,4] = [x, [1,1,2,1,-2]]; bsd[322,5] = 0 ; deg[322,5] = 5 ; dsc[322,5] = 2^2*5 ; E [322,5] = [x^2+2*x-4, [1,-1,x,1,-x-2]]; bsd[322,6] = 1 ; deg[322,6] = 3*11 ; dsc[322,6] = 2^2*3 ; E [322,6] = [x^2+2*x-2, [1,1,x,1,x+2]]; bsd[322,7] = 11 ; deg[322,7] = 11 ; dsc[322,7] = 2^4*79 ; E [322,7] = [x^3-2*x^2-6*x+8, [1,1,x,1,-x+2]]; bsd[323,1] = 1 ; deg[323,1] = 5*7 ; dsc[323,1] = 1 ; E [323,1] = [x, [1,0,3,-2,-2]]; bsd[323,2] = 1 ; deg[323,2] = 17 ; dsc[323,2] = 17 ; E [323,2] = [x^2+x-4, [1,x,x+1,-x+2,2]]; bsd[323,3] = 0 ; deg[323,3] = 3*7 ; dsc[323,3] = 19*103 ; E [323,3] = [x^4-6*x^2-x+7, [1,x,x^3-2*x^2-4*x+5,x^2-2,-x^3+x^2+3*x-4]]; bsd[323,4] = 0 ; deg[323,4] = 1 ; dsc[323,4] = 73*1453 ; E [323,4] = [x^5+3*x^4-2*x^3-7*x^2+2*x+1, [1,x,-x^3-2*x^2+2*x+1,x^2-2,x^4+3*x^3-x^2-6*x-1]]; bsd[323,5] = 1/3^2 ; deg[323,5] = 3*7*17 ; dsc[323,5] = 2^2*1627*17299 ; E [323,5] = [x^6-2*x^5-9*x^4+15*x^3+23*x^2-23*x-21, [2,2*x,x^5-x^4-8*x^3+5*x^2+12*x-1,2*x^2-4,-2*x^4+2*x^3+14*x^2-8*x-18]]; bsd[323,6] = 1/5 ; deg[323,6] = 1 ; dsc[323,6] = 2^2*353*1697*3851 ; E [323,6] = [x^7-x^6-10*x^5+9*x^4+26*x^3-19*x^2-12*x+8, [2,2*x,x^6-x^5-10*x^4+7*x^3+26*x^2-7*x-10,2*x^2-4,2*x^6-20*x^4+52*x^2+2*x-20]]; bsd[324,1] = 0 ; deg[324,1] = 3^2 ; dsc[324,1] = 1 ; E [324,1] = [x, [1,0,0,0,-3]]; bsd[324,2] = 1/3 ; deg[324,2] = 3^2 ; dsc[324,2] = 1 ; E [324,2] = [x, [1,0,0,0,-3]]; bsd[324,3] = 1/3 ; deg[324,3] = 3^2 ; dsc[324,3] = 1 ; E [324,3] = [x, [1,0,0,0,3]]; bsd[324,4] = 1 ; deg[324,4] = 3^2 ; dsc[324,4] = 1 ; E [324,4] = [x, [1,0,0,0,3]]; bsd[325,1] = 1/5 ; deg[325,1] = 3*7 ; dsc[325,1] = 1 ; E [325,1] = [x, [1,-2,-1,2,0]]; bsd[325,2] = 0 ; deg[325,2] = 3 ; dsc[325,2] = 1 ; E [325,2] = [x, [1,0,-1,-2,0]]; bsd[325,3] = 0 ; deg[325,3] = 3*5 ; dsc[325,3] = 1 ; E [325,3] = [x, [1,0,1,-2,0]]; bsd[325,4] = 1 ; deg[325,4] = 3 ; dsc[325,4] = 1 ; E [325,4] = [x, [1,1,2,-1,0]]; bsd[325,5] = 3 ; deg[325,5] = 3*7 ; dsc[325,5] = 1 ; E [325,5] = [x, [1,2,1,2,0]]; bsd[325,6] = 1 ; deg[325,6] = 3^2*5^2*7 ; dsc[325,6] = 2^3 ; E [325,6] = [x^2+2*x-1, [1,x,-2*x-2,-2*x-1,0]]; bsd[325,7] = 0 ; deg[325,7] = 3 ; dsc[325,7] = 2^2*3 ; E [325,7] = [x^2-3, [1,x,-x-1,1,0]]; bsd[325,8] = 1 ; deg[325,8] = 3^2*7 ; dsc[325,8] = 2^3 ; E [325,8] = [x^2-8, [2,-x+2,2*x,-2*x+2,0]]; bsd[325,9] = 1 ; deg[325,9] = 3^2 ; dsc[325,9] = 2^3 ; E [325,9] = [x^2-2, [1,x+1,x,2*x+1,0]]; bsd[325,10] = 0 ; deg[325,10] = 5 ; dsc[325,10] = 2^2*37 ; E [325,10] = [x^3+3*x^2-x-5, [1,x,x^2+x-4,x^2-2,0]]; bsd[325,11] = 1 ; deg[325,11] = 5^2 ; dsc[325,11] = 2^2*37 ; E [325,11] = [x^3-3*x^2-x+5, [1,x,-x^2+x+4,x^2-2,0]]; bsd[326,1] = 1/3 ; deg[326,1] = 3*17 ; dsc[326,1] = 1 ; E [326,1] = [x, [1,-1,-2,1,-3]]; bsd[326,2] = 0 ; deg[326,2] = 3^2 ; dsc[326,2] = 1 ; E [326,2] = [x, [1,-1,0,1,-1]]; bsd[326,3] = 0 ; deg[326,3] = 5 ; dsc[326,3] = 1 ; E [326,3] = [x, [1,1,-2,1,-1]]; bsd[326,4] = 1 ; deg[326,4] = 13*17*47 ; dsc[326,4] = 482689 ; E [326,4] = [x^5-3*x^4-8*x^3+27*x^2-5*x-17, [13,-13,13*x,13,-7*x^4+10*x^3+68*x^2-84*x-32]]; bsd[326,5] = 3^3*61/41 ; deg[326,5] = 3^3*61 ; dsc[326,5] = 617*28921 ; E [326,5] = [x^6-5*x^5+29*x^3-25*x^2-35*x+36, [1,1,x,1,x^5-2*x^4-6*x^3+9*x^2+7*x-7]]; bsd[327,1] = 0 ; deg[327,1] = 1 ; dsc[327,1] = 1 ; E [327,1] = [x, [1,-1,1,-1,-1]]; bsd[327,2] = 0 ; deg[327,2] = 13 ; dsc[327,2] = 2^2*37 ; E [327,2] = [x^3+3*x^2-x-5, [1,x,-1,x^2-2,-1]]; bsd[327,3] = 1 ; deg[327,3] = 107 ; dsc[327,3] = 2^4*1023203 ; E [327,3] = [x^6-4*x^5-2*x^4+20*x^3-8*x^2-16*x+1, [2,2*x,-2,2*x^2-4,x^5-x^4-9*x^3+5*x^2+19*x+1]]; bsd[327,4] = 139/5*11 ; deg[327,4] = 139 ; dsc[327,4] = 2^9*5*139*1033895651 ; E [327,4] = [x^9-3*x^8-11*x^7+35*x^6+34*x^5-122*x^4-29*x^3+127*x^2+9*x-5, [6,6*x,6,6*x^2-12,-x^8-x^7+16*x^6+14*x^5-80*x^4-60*x^3+125*x^2+85*x-2]]; bsd[328,1] = 0 ; deg[328,1] = 1 ; dsc[328,1] = 1 ; E [328,1] = [x, [1,0,0,0,-2]]; bsd[328,2] = 1 ; deg[328,2] = 3 ; dsc[328,2] = 1 ; E [328,2] = [x, [1,0,2,0,2]]; bsd[328,3] = 1 ; deg[328,3] = 1 ; dsc[328,3] = 2^2*3 ; E [328,3] = [x^2-2*x-2, [1,0,x,0,0]]; bsd[328,4] = 0 ; deg[328,4] = 1 ; dsc[328,4] = 2^2*37 ; E [328,4] = [x^3+4*x^2+2*x-2, [1,0,x,0,-x^2-4*x-2]]; bsd[328,5] = 1 ; deg[328,5] = 3 ; dsc[328,5] = 2^2*197 ; E [328,5] = [x^3+2*x^2-6*x-10, [1,0,x,0,-x^2+6]]; bsd[329,1] = 1 ; deg[329,1] = 3^2*5 ; dsc[329,1] = 1 ; E [329,1] = [x, [1,-1,-1,-1,3]]; bsd[329,2] = 1 ; deg[329,2] = 13 ; dsc[329,2] = 17 ; E [329,2] = [x^2-x-4, [1,-1,x,-1,x-2]]; bsd[329,3] = 0 ; deg[329,3] = 83 ; dsc[329,3] = 7^2 ; E [329,3] = [x^3+4*x^2+3*x-1, [1,-x^2-3*x-1,x,x+1,x^2+x-2]]; bsd[329,4] = 0 ; deg[329,4] = 1 ; dsc[329,4] = 7^2 ; E [329,4] = [x^3+2*x^2-x-1, [1,-x^2-x+1,x,-x-1,x^2+x-2]]; bsd[329,5] = 1 ; deg[329,5] = 19*37 ; dsc[329,5] = 2^2*37 ; E [329,5] = [x^3-x^2-5*x+1, [2,2*x,2*x^2-2*x-6,2*x^2-4,x^2-4*x-3]]; bsd[329,6] = 1 ; deg[329,6] = 5*31*37 ; dsc[329,6] = 2^4*5*51607 ; E [329,6] = [x^5-x^4-11*x^3+12*x^2+28*x-33, [1,x,-x^2+5,x^2-2,x-1]]; bsd[329,7] = 1/3 ; deg[329,7] = 13 ; dsc[329,7] = 2^2*11*1447*1609 ; E [329,7] = [x^6-12*x^4+5*x^3+36*x^2-29*x+3, [2,2*x,-2*x^3+12*x-4,2*x^2-4,x^5+x^4-9*x^3-4*x^2+20*x-3]]; bsd[330,1] = 1 ; deg[330,1] = 5 ; dsc[330,1] = 1 ; E [330,1] = [x, [1,-1,-1,1,-1]]; bsd[330,2] = 0 ; deg[330,2] = 1 ; dsc[330,2] = 1 ; E [330,2] = [x, [1,-1,-1,1,1]]; bsd[330,3] = 7 ; deg[330,3] = 5*7 ; dsc[330,3] = 1 ; E [330,3] = [x, [1,1,-1,1,-1]]; bsd[330,4] = 1 ; deg[330,4] = 3 ; dsc[330,4] = 1 ; E [330,4] = [x, [1,1,-1,1,1]]; bsd[330,5] = 1 ; deg[330,5] = 1 ; dsc[330,5] = 1 ; E [330,5] = [x, [1,1,1,1,1]]; bsd[331,1] = 0 ; deg[331,1] = 3 ; dsc[331,1] = 1 ; E [331,1] = [x, [1,-1,-2,-1,1]]; bsd[331,2] = 0 ; deg[331,2] = 53 ; dsc[331,2] = 229 ; E [331,2] = [x^3+2*x^2-4*x-7, [1,x,-x-1,x^2-2,-x^2+2]]; bsd[331,3] = 0 ; deg[331,3] = 3*53 ; dsc[331,3] = 1399*21911 ; E [331,3] = [x^7+2*x^6-6*x^5-8*x^4+11*x^3+3*x^2-5*x+1, [1,x,-x^6-3*x^5+4*x^4+13*x^3-4*x^2-9*x+3,x^2-2,4*x^6+10*x^5-19*x^4-42*x^3+23*x^2+25*x-11]]; bsd[331,4] = 1/5*11 ; deg[331,4] = 1 ; dsc[331,4] = 2^8*205493*6363601*584461573862449 ; E [331,4] = [x^16-3*x^15-19*x^14+60*x^13+136*x^12-465*x^11-448*x^10+1747*x^9+657*x^8-3241*x^7-375*x^6+2695*x^5+230*x^4-855*x^3-110*x^2+56*x+8, [41780,41780*x,-4276*x^15+23524*x^14+68316*x^13-474080*x^12-338312*x^11+3693332*x^10+175008*x^9-13891412*x^8+2998032*x^7+25579616*x^6-7116248*x^5-20655908*x^4+3524776*x^3+6029232*x^2-256088*x-281880,41780*x^2-83560,-193*x^15+3141*x^14+8817*x^13-69654*x^12-125856*x^11+604449*x^10+805006*x^9-2602543*x^8-2497031*x^7+5769595*x^6+3522077*x^5-6042977*x^4-1713460*x^3+2150027*x^2+178468*x-59228]]; bsd[332,1] = 0 ; deg[332,1] = 3^2 ; dsc[332,1] = 2^3 ; E [332,1] = [x^2+2*x-1, [1,0,x,0,-x-1]]; bsd[332,2] = 1 ; deg[332,2] = 3*29 ; dsc[332,2] = 2^2*7 ; E [332,2] = [x^2-7, [1,0,x,0,x-1]]; bsd[332,3] = 1 ; deg[332,3] = 3^3*29 ; dsc[332,3] = 7^2 ; E [332,3] = [x^3-4*x^2+3*x+1, [1,0,x,0,-2*x^2+4*x+2]]; bsd[333,1] = 0 ; deg[333,1] = 1 ; dsc[333,1] = 1 ; E [333,1] = [x, [1,-1,0,-1,2]]; bsd[333,2] = 0 ; deg[333,2] = 5 ; dsc[333,2] = 1 ; E [333,2] = [x, [1,0,0,-2,0]]; bsd[333,3] = 0 ; deg[333,3] = 3 ; dsc[333,3] = 1 ; E [333,3] = [x, [1,1,0,-1,-2]]; bsd[333,4] = 1 ; deg[333,4] = 7 ; dsc[333,4] = 1 ; E [333,4] = [x, [1,2,0,2,2]]; bsd[333,5] = 0 ; deg[333,5] = 5 ; dsc[333,5] = 2^2*37 ; E [333,5] = [x^3+3*x^2-x-5, [1,x,0,x^2-2,x^2-5]]; bsd[333,6] = 1/3 ; deg[333,6] = 3 ; dsc[333,6] = 2^10*3^3 ; E [333,6] = [x^4-6*x^2+3, [1,x,0,x^2-2,-x^3+5*x]]; bsd[333,7] = 1 ; deg[333,7] = 7 ; dsc[333,7] = 2^4*389 ; E [333,7] = [x^4-6*x^2-2*x+5, [1,x,0,x^2-2,-x^3+2*x^2+3*x-4]]; bsd[334,1] = 1 ; deg[334,1] = 1 ; dsc[334,1] = 1 ; E [334,1] = [x, [1,1,0,1,3]]; bsd[334,2] = 0 ; deg[334,2] = 5 ; dsc[334,2] = 5 ; E [334,2] = [x^2+x-1, [1,-1,x,1,-1]]; bsd[334,3] = 1 ; deg[334,3] = 3^2*7^2 ; dsc[334,3] = 2^3 ; E [334,3] = [x^2-8, [2,-2,2*x,2,-x+2]]; bsd[334,4] = 0 ; deg[334,4] = 3^2*11 ; dsc[334,4] = 5 ; E [334,4] = [x^2+3*x+1, [1,1,x,1,-2*x-5]]; bsd[334,5] = 1 ; deg[334,5] = 7^2*113 ; dsc[334,5] = 7*67 ; E [334,5] = [x^3+x^2-5*x-4, [1,-1,x,1,-x^2+x+4]]; bsd[334,6] = 11/7 ; deg[334,6] = 11 ; dsc[334,6] = 733 ; E [334,6] = [x^3-x^2-7*x+8, [1,1,x,1,-1]]; bsd[335,1] = 0 ; deg[335,1] = 1 ; dsc[335,1] = 1 ; E [335,1] = [x, [1,0,0,-2,1]]; bsd[335,2] = 0 ; deg[335,2] = 3^2 ; dsc[335,2] = 2^3 ; E [335,2] = [x^2-2, [1,x,-x,0,-1]]; bsd[335,3] = 1 ; deg[335,3] = 179 ; dsc[335,3] = 5 ; E [335,3] = [x^2-x-1, [1,x,2*x-1,x-1,-1]]; bsd[335,4] = 1/3 ; deg[335,4] = 59*179 ; dsc[335,4] = 3*29*71*83*887 ; E [335,4] = [x^7-2*x^6-12*x^5+21*x^4+42*x^3-52*x^2-39*x-6, [1,x,-2*x^6+x^5+23*x^4-8*x^3-66*x^2+12*x+10,x^2-2,-1]]; bsd[335,5] = 3^4/17 ; deg[335,5] = 3^4 ; dsc[335,5] = 2^2*26393*6262079*23057641 ; E [335,5] = [x^11-18*x^9+2*x^8+114*x^7-24*x^6-306*x^5+86*x^4+332*x^3-109*x^2-114*x+46, [5261,5261*x,43*x^10-84*x^9-1344*x^8+1488*x^7+13496*x^6-9411*x^5-54847*x^4+24218*x^3+84666*x^2-17145*x-28424,5261*x^2-10522,5261]]; bsd[336,1] = 0 ; deg[336,1] = 1 ; dsc[336,1] = 1 ; E [336,1] = [x, [1,0,-1,0,-2]]; bsd[336,2] = 1 ; deg[336,2] = 3 ; dsc[336,2] = 1 ; E [336,2] = [x, [1,0,-1,0,0]]; bsd[336,3] = 1 ; deg[336,3] = 1 ; dsc[336,3] = 1 ; E [336,3] = [x, [1,0,-1,0,2]]; bsd[336,4] = 1 ; deg[336,4] = 3 ; dsc[336,4] = 1 ; E [336,4] = [x, [1,0,1,0,-2]]; bsd[336,5] = 3 ; deg[336,5] = 3 ; dsc[336,5] = 1 ; E [336,5] = [x, [1,0,1,0,2]]; bsd[336,6] = 1 ; deg[336,6] = 3 ; dsc[336,6] = 1 ; E [336,6] = [x, [1,0,1,0,4]]; bsd[337,1] = 0 ; deg[337,1] = 1 ; dsc[337,1] = 113*2791*747945736667 ; E [337,1] = [x^12+6*x^11+x^10-54*x^9-76*x^8+135*x^7+289*x^6-97*x^5-392*x^4-28*x^3+201*x^2+36*x-27, [27,27*x,-41*x^11-207*x^10+148*x^9+2037*x^8+1208*x^7-6366*x^6-5621*x^5+8552*x^4+7303*x^3-5185*x^2-2844*x+1116,27*x^2-54,76*x^11+360*x^10-356*x^9-3552*x^8-1393*x^7+11103*x^6+7618*x^5-14677*x^4-9914*x^3+8360*x^2+3798*x-1638]]; bsd[337,2] = 1/7 ; deg[337,2] = 1 ; dsc[337,2] = 2^4*593*2963615537*4122851467451 ; E [337,2] = [x^15-3*x^14-18*x^13+56*x^12+123*x^11-402*x^10-400*x^9+1395*x^8+643*x^7-2406*x^6-496*x^5+1843*x^4+200*x^3-388*x^2-69*x+1, [3236,3236*x,-3898*x^14+5280*x^13+79908*x^12-90208*x^11-644046*x^10+562758*x^9+2571518*x^8-1535848*x^7-5214430*x^6+1653582*x^5+4746334*x^4-273200*x^3-1150808*x^2-141708*x+9182,3236*x^2-6472,1942*x^14-3816*x^13-37056*x^12+66196*x^11+274450*x^10-425482*x^9-996046*x^8+1239704*x^7+1830210*x^6-1595610*x^5-1522558*x^4+706972*x^3+341584*x^2-43748*x-7070]]; bsd[338,1] = 0 ; deg[338,1] = 3*7 ; dsc[338,1] = 1 ; E [338,1] = [x, [1,-1,-3,1,1]]; bsd[338,2] = 1 ; deg[338,2] = 3*13 ; dsc[338,2] = 1 ; E [338,2] = [x, [1,-1,-1,1,3]]; bsd[338,3] = 0 ; deg[338,3] = 3 ; dsc[338,3] = 1 ; E [338,3] = [x, [1,-1,0,1,1]]; bsd[338,4] = 0 ; deg[338,4] = 3 ; dsc[338,4] = 1 ; E [338,4] = [x, [1,1,-1,1,-3]]; bsd[338,5] = 1 ; deg[338,5] = 3*13 ; dsc[338,5] = 1 ; E [338,5] = [x, [1,1,0,1,-1]]; bsd[338,6] = 1 ; deg[338,6] = 7 ; dsc[338,6] = 1 ; E [338,6] = [x, [1,1,1,1,3]]; bsd[338,7] = 1 ; deg[338,7] = 7*13*41 ; dsc[338,7] = 7^2 ; E [338,7] = [x^3-3*x^2-4*x+13, [1,-1,x,1,2*x^2-12]]; bsd[338,8] = 41/13 ; deg[338,8] = 7*13*41 ; dsc[338,8] = 7^2 ; E [338,8] = [x^3-3*x^2-4*x+13, [1,1,x,1,-2*x^2+12]]; bsd[339,1] = 0 ; deg[339,1] = 3 ; dsc[339,1] = 1 ; E [339,1] = [x, [1,-2,1,2,-3]]; bsd[339,2] = 0 ; deg[339,2] = 3^2 ; dsc[339,2] = 1 ; E [339,2] = [x, [1,0,1,-2,-1]]; bsd[339,3] = 1 ; deg[339,3] = 3^2*7 ; dsc[339,3] = 1 ; E [339,3] = [x, [1,2,-1,2,2]]; bsd[339,4] = 1 ; deg[339,4] = 7*71 ; dsc[339,4] = 2^3 ; E [339,4] = [x^2+2*x-1, [1,x,-1,-2*x-1,-2*x-1]]; bsd[339,5] = 0 ; deg[339,5] = 7 ; dsc[339,5] = 2^3 ; E [339,5] = [x^2-2, [1,x,-1,0,-x-1]]; bsd[339,6] = 13 ; deg[339,6] = 13^2 ; dsc[339,6] = 17 ; E [339,6] = [x^2-3*x-2, [1,2,1,2,x]]; bsd[339,7] = 13/19 ; deg[339,7] = 13^2 ; dsc[339,7] = 2^5*8297 ; E [339,7] = [x^5-7*x^3-4*x^2+6*x+2, [1,x,1,x^2-2,-x^4+x^3+5*x^2-x-1]]; bsd[339,8] = 1 ; deg[339,8] = 11^2*71 ; dsc[339,8] = 2^2*470621 ; E [339,8] = [x^5-x^4-10*x^3+6*x^2+22*x+4, [2,2*x,-2,2*x^2-4,-2*x^3-2*x^2+14*x+10]]; bsd[340,1] = 0 ; deg[340,1] = 3 ; dsc[340,1] = 1 ; E [340,1] = [x, [1,0,0,0,-1]]; bsd[340,2] = 3 ; deg[340,2] = 3^3 ; dsc[340,2] = 2^4*101 ; E [340,2] = [x^3-8*x+4, [1,0,x,0,1]]; bsd[341,1] = 0 ; deg[341,1] = 5 ; dsc[341,1] = 5 ; E [341,1] = [x^2-x-1, [1,x,-1,x-1,-x-1]]; bsd[341,2] = 0 ; deg[341,2] = 1 ; dsc[341,2] = 5^2*89 ; E [341,2] = [x^4+2*x^3-5*x^2-6*x+4, [2,-x^2-x+2,2*x,x^2+x-4,x^3+x^2-6*x-2]]; bsd[341,3] = 1/3 ; deg[341,3] = 7^2 ; dsc[341,3] = 2^6*14444130109 ; E [341,3] = [x^8-x^7-14*x^6+11*x^5+60*x^4-31*x^3-74*x^2+5*x+3, [4,4*x,x^7-x^6-13*x^5+10*x^4+51*x^3-25*x^2-55*x+4,4*x^2-8,-2*x^4+2*x^3+12*x^2-10*x-6]]; bsd[341,4] = 1 ; deg[341,4] = 3*13 ; dsc[341,4] = 2^6*3*151*1121599*344460847 ; E [341,4] = [x^11-x^10-20*x^9+20*x^8+141*x^7-135*x^6-421*x^5+347*x^4+530*x^3-288*x^2-239*x+17, [88,88*x,-7*x^10+2*x^9+132*x^8-30*x^7-867*x^6+134*x^5+2301*x^4-138*x^3-2058*x^2-136*x+171,88*x^2-176,-x^10-6*x^9+22*x^8+90*x^7-171*x^6-402*x^5+555*x^4+458*x^3-668*x^2+188*x+191]]; bsd[342,1] = 0 ; deg[342,1] = 1 ; dsc[342,1] = 1 ; E [342,1] = [x, [1,-1,0,1,-2]]; bsd[342,2] = 1 ; deg[342,2] = 3*5 ; dsc[342,2] = 1 ; E [342,2] = [x, [1,-1,0,1,-2]]; bsd[342,3] = 0 ; deg[342,3] = 3 ; dsc[342,3] = 1 ; E [342,3] = [x, [1,-1,0,1,0]]; bsd[342,4] = 1 ; deg[342,4] = 3*5 ; dsc[342,4] = 1 ; E [342,4] = [x, [1,-1,0,1,4]]; bsd[342,5] = 3 ; deg[342,5] = 3*5 ; dsc[342,5] = 1 ; E [342,5] = [x, [1,1,0,1,0]]; bsd[342,6] = 1 ; deg[342,6] = 5 ; dsc[342,6] = 1 ; E [342,6] = [x, [1,1,0,1,0]]; bsd[342,7] = 1 ; deg[342,7] = 3 ; dsc[342,7] = 1 ; E [342,7] = [x, [1,1,0,1,2]]; bsd[343,1] = 0 ; deg[343,1] = 7^2 ; dsc[343,1] = 7^2 ; E [343,1] = [x^3+4*x^2+3*x-1, [1,x,0,x^2-2,0]]; bsd[343,2] = 1 ; deg[343,2] = 7^2*29 ; dsc[343,2] = 7^2 ; E [343,2] = [x^3-3*x^2-4*x+13, [1,x,0,x^2-2,0]]; bsd[343,3] = 0 ; deg[343,3] = 7^2 ; dsc[343,3] = 7^4*13*41 ; E [343,3] = [x^6+5*x^5-x^4-34*x^3-28*x^2+49*x+49, [7,9*x^5+24*x^4-65*x^3-159*x^2+105*x+203,7*x,4*x^5+13*x^4-25*x^3-80*x^2+35*x+91,-7*x^5-21*x^4+49*x^3+140*x^2-84*x-196]]; bsd[343,4] = 1/7 ; deg[343,4] = 7^5 ; dsc[343,4] = 7^4*13*41 ; E [343,4] = [x^6-5*x^5-x^4+34*x^3-28*x^2-49*x+49, [7,-9*x^5+24*x^4+65*x^3-159*x^2-105*x+203,7*x,-4*x^5+13*x^4+25*x^3-80*x^2-35*x+91,-7*x^5+21*x^4+49*x^3-140*x^2-84*x+196]]; bsd[343,5] = 1/7 ; deg[343,5] = 7^3*29 ; dsc[343,5] = 2^9*7^4*29 ; E [343,5] = [x^6-20*x^4+124*x^2-232, [4,-x^4+14*x^2-40,4*x,-2*x^4+26*x^2-72,x^5-14*x^3+44*x]]; bsd[344,1] = 0 ; deg[344,1] = 1 ; dsc[344,1] = 1 ; E [344,1] = [x, [1,0,0,0,-2]]; bsd[344,2] = 0 ; deg[344,2] = 1 ; dsc[344,2] = 2^2*3 ; E [344,2] = [x^2+2*x-2, [1,0,x,0,-x-2]]; bsd[344,3] = 1 ; deg[344,3] = 1 ; dsc[344,3] = 229 ; E [344,3] = [x^3-3*x^2-x+4, [1,0,x,0,-x^2+2*x+2]]; bsd[344,4] = 1 ; deg[344,4] = 1 ; dsc[344,4] = 2^2*1999567 ; E [344,4] = [x^5+x^4-13*x^3-8*x^2+42*x+8, [2,0,2*x,0,2*x^3-14*x+4]]; bsd[345,1] = 0 ; deg[345,1] = 3 ; dsc[345,1] = 1 ; E [345,1] = [x, [1,-2,1,2,1]]; bsd[345,2] = 1 ; deg[345,2] = 5 ; dsc[345,2] = 1 ; E [345,2] = [x, [1,-1,1,-1,-1]]; bsd[345,3] = 1 ; deg[345,3] = 5 ; dsc[345,3] = 1 ; E [345,3] = [x, [1,0,-1,-2,-1]]; bsd[345,4] = 0 ; deg[345,4] = 1 ; dsc[345,4] = 1 ; E [345,4] = [x, [1,0,1,-2,-1]]; bsd[345,5] = 5 ; deg[345,5] = 3*5^2 ; dsc[345,5] = 1 ; E [345,5] = [x, [1,1,1,-1,-1]]; bsd[345,6] = 1 ; deg[345,6] = 3 ; dsc[345,6] = 1 ; E [345,6] = [x, [1,2,-1,2,1]]; bsd[345,7] = 0 ; deg[345,7] = 3*11 ; dsc[345,7] = 2^2*3 ; E [345,7] = [x^2+2*x-2, [1,x,-1,-2*x,1]]; bsd[345,8] = 0 ; deg[345,8] = 3^2 ; dsc[345,8] = 2^3 ; E [345,8] = [x^2-2, [1,x,-1,0,-1]]; bsd[345,9] = 5/3 ; deg[345,9] = 5^3 ; dsc[345,9] = 2^3*3 ; E [345,9] = [x^2-6, [1,x,1,4,-1]]; bsd[345,10] = 1 ; deg[345,10] = 11 ; dsc[345,10] = 2^2*79 ; E [345,10] = [x^3+x^2-4*x-2, [1,x,1,x^2-2,1]]; bsd[346,1] = 0 ; deg[346,1] = 7 ; dsc[346,1] = 1 ; E [346,1] = [x, [1,1,-1,1,-3]]; bsd[346,2] = 1 ; deg[346,2] = 7 ; dsc[346,2] = 1 ; E [346,2] = [x, [1,1,1,1,-1]]; bsd[346,3] = 1 ; deg[346,3] = 7*67 ; dsc[346,3] = 229 ; E [346,3] = [x^3-x^2-6*x+4, [2,-2,2*x,2,-x^2+x+4]]; bsd[346,4] = 0 ; deg[346,4] = 31 ; dsc[346,4] = 2777 ; E [346,4] = [x^4+2*x^3-5*x^2-5*x-1, [1,-1,x,1,-3*x^3-5*x^2+16*x+7]]; bsd[346,5] = 79/29 ; deg[346,5] = 7*79 ; dsc[346,5] = 2075621 ; E [346,5] = [x^5+3*x^4-8*x^3-21*x^2+18*x+28, [2,2,2*x,2,-x^4-x^3+6*x^2+x]]; bsd[347,1] = 0 ; deg[347,1] = 7 ; dsc[347,1] = 1 ; E [347,1] = [x, [1,-2,1,2,0]]; bsd[347,2] = 0 ; deg[347,2] = 19 ; dsc[347,2] = 5 ; E [347,2] = [x^2+x-1, [1,1,x,-1,-2*x-2]]; bsd[347,3] = 0 ; deg[347,3] = 7*19 ; dsc[347,3] = 331*479*617 ; E [347,3] = [x^7+2*x^6-7*x^5-15*x^4+6*x^3+22*x^2+9*x+1, [1,x,-x^6-3*x^5+7*x^4+23*x^3-7*x^2-35*x-8,x^2-2,-x^6-x^5+8*x^4+7*x^3-13*x^2-10*x-1]]; bsd[347,4] = 1/173 ; deg[347,4] = 1 ; dsc[347,4] = 2^7*349*1797330450291217*918291275915301361 ; E [347,4] = [x^19-30*x^17+x^16+374*x^15-21*x^14-2509*x^13+166*x^12+9794*x^11-586*x^10-22435*x^9+749*x^8+28885*x^7+329*x^6-18752*x^5-878*x^4+4788*x^3-64*x^2-352*x+32, [4704816,4704816*x,2368973*x^18+4202164*x^17-63214018*x^16-110092731*x^15+679595698*x^14+1165084067*x^13-3751578757*x^12-6367003458*x^11+11162952046*x^10+19024606398*x^9-16906363175*x^8-30144731499*x^7+10241331209*x^6+22186663277*x^5-341241168*x^4-5287650274*x^3-157668644*x^2+330801672*x-13694144,4704816*x^2-9409632,-3922172*x^18-7142908*x^17+104986096*x^16+187075956*x^15-1134802396*x^14-1979205548*x^13+6325871704*x^12+10819031484*x^11-19184640592*x^10-32397813168*x^9+30341413484*x^8+51731713176*x^7-21098505200*x^6-39018148856*x^5+3930099180*x^4+10149008056*x^3-623105848*x^2-698144832*x+75070112]]; bsd[348,1] = 1 ; deg[348,1] = 3^2*5 ; dsc[348,1] = 1 ; E [348,1] = [x, [1,0,-1,0,-2]]; bsd[348,2] = 0 ; deg[348,2] = 3 ; dsc[348,2] = 1 ; E [348,2] = [x, [1,0,-1,0,0]]; bsd[348,3] = 0 ; deg[348,3] = 3*7 ; dsc[348,3] = 1 ; E [348,3] = [x, [1,0,1,0,-4]]; bsd[348,4] = 1 ; deg[348,4] = 3 ; dsc[348,4] = 1 ; E [348,4] = [x, [1,0,1,0,2]]; bsd[349,1] = 0 ; deg[349,1] = 1 ; dsc[349,1] = 13*1118857*72318613 ; E [349,1] = [x^11+5*x^10-x^9-35*x^8-24*x^7+80*x^6+66*x^5-77*x^4-56*x^3+31*x^2+15*x-4, [2,2*x,-3*x^10-13*x^9+10*x^8+91*x^7+14*x^6-205*x^5-35*x^4+181*x^3-11*x^2-51*x+14,2*x^2-4,x^9+6*x^8+4*x^7-33*x^6-49*x^5+44*x^4+87*x^3-14*x^2-39*x]]; bsd[349,2] = 1/29 ; deg[349,2] = 1 ; dsc[349,2] = 2^6*103*6771977049413*1313981654817031 ; E [349,2] = [x^17-5*x^16-14*x^15+102*x^14+26*x^13-792*x^12+474*x^11+2887*x^10-3021*x^9-4835*x^8+6673*x^7+2880*x^6-5373*x^5-164*x^4+1075*x^3+75*x^2-41*x-4, [13854332,13854332*x,2860032*x^16-15887372*x^15-33177138*x^14+317730102*x^13-66092796*x^12-2386732742*x^11+2451331270*x^10+8163042720*x^9-12663967038*x^8-11641298456*x^7+25913718850*x^6+2710729868*x^5-19542794682*x^4+3782795730*x^3+3257805434*x^2-347417714*x-106918476,13854332*x^2-27708664,954477*x^16-6048190*x^15-9436362*x^14+122225562*x^13-56644828*x^12-933243792*x^11+1102309566*x^10+3290717187*x^9-5364723646*x^8-5084510469*x^7+10918796292*x^6+2175158294*x^5-8563127797*x^4+550576315*x^3+1738656858*x^2+84175177*x-60860676]]; bsd[350,1] = 0 ; deg[350,1] = 3 ; dsc[350,1] = 1 ; E [350,1] = [x, [1,-1,-1,1,0]]; bsd[350,2] = 1 ; deg[350,2] = 3 ; dsc[350,2] = 1 ; E [350,2] = [x, [1,-1,0,1,0]]; bsd[350,3] = 1 ; deg[350,3] = 3*5*11 ; dsc[350,3] = 1 ; E [350,3] = [x, [1,-1,3,1,0]]; bsd[350,4] = 0 ; deg[350,4] = 3*11 ; dsc[350,4] = 1 ; E [350,4] = [x, [1,1,-3,1,0]]; bsd[350,5] = 1 ; deg[350,5] = 3*5 ; dsc[350,5] = 1 ; E [350,5] = [x, [1,1,1,1,0]]; bsd[350,6] = 1 ; deg[350,6] = 3 ; dsc[350,6] = 1 ; E [350,6] = [x, [1,1,2,1,0]]; bsd[350,7] = 1 ; deg[350,7] = 5^2 ; dsc[350,7] = 2^3*3 ; E [350,7] = [x^2-6, [1,-1,x,1,0]]; bsd[350,8] = 5 ; deg[350,8] = 5^2 ; dsc[350,8] = 2^3*3 ; E [350,8] = [x^2-6, [1,1,x,1,0]]; bsd[351,1] = 0 ; deg[351,1] = 3^2 ; dsc[351,1] = 5 ; E [351,1] = [x^2+x-1, [1,x,0,-x-1,x-1]]; bsd[351,2] = 0 ; deg[351,2] = 3^2 ; dsc[351,2] = 13 ; E [351,2] = [x^2+x-3, [1,x,0,-x+1,-x-3]]; bsd[351,3] = 1 ; deg[351,3] = 3^4 ; dsc[351,3] = 5 ; E [351,3] = [x^2-x-1, [1,x,0,x-1,x+1]]; bsd[351,4] = 1/3 ; deg[351,4] = 3^3 ; dsc[351,4] = 13 ; E [351,4] = [x^2-x-3, [1,x,0,x+1,-x+3]]; bsd[351,5] = 1 ; deg[351,5] = 3^5 ; dsc[351,5] = 2^4*3*37^2 ; E [351,5] = [x^4-7*x^2+3, [1,x,0,x^2-2,-x^3+6*x]]; bsd[351,6] = 1 ; deg[351,6] = 3^6*19 ; dsc[351,6] = 2^4*5^2*19 ; E [351,6] = [x^4-9*x^2+19, [1,x,0,x^2-2,x^3-4*x]]; bsd[352,1] = 0 ; deg[352,1] = 3 ; dsc[352,1] = 1 ; E [352,1] = [x, [1,0,-3,0,1]]; bsd[352,2] = 0 ; deg[352,2] = 1 ; dsc[352,2] = 1 ; E [352,2] = [x, [1,0,-1,0,-3]]; bsd[352,3] = 0 ; deg[352,3] = 1 ; dsc[352,3] = 1 ; E [352,3] = [x, [1,0,-1,0,1]]; bsd[352,4] = 0 ; deg[352,4] = 1 ; dsc[352,4] = 1 ; E [352,4] = [x, [1,0,1,0,-3]]; bsd[352,5] = 1 ; deg[352,5] = 1 ; dsc[352,5] = 1 ; E [352,5] = [x, [1,0,1,0,1]]; bsd[352,6] = 1 ; deg[352,6] = 3 ; dsc[352,6] = 1 ; E [352,6] = [x, [1,0,3,0,1]]; bsd[352,7] = 1 ; deg[352,7] = 1 ; dsc[352,7] = 17 ; E [352,7] = [x^2+x-4, [1,0,x,0,x+2]]; bsd[352,8] = 1 ; deg[352,8] = 1 ; dsc[352,8] = 17 ; E [352,8] = [x^2-x-4, [1,0,x,0,-x+2]]; bsd[353,1] = 1 ; deg[353,1] = 3 ; dsc[353,1] = 1 ; E [353,1] = [x, [1,-1,2,-1,2]]; bsd[353,2] = 1 ; deg[353,2] = 127 ; dsc[353,2] = 229 ; E [353,2] = [x^3-x^2-6*x+4, [2,2*x,-x^2+x+6,2*x^2-4,-2*x+2]]; bsd[353,3] = 0 ; deg[353,3] = 1 ; dsc[353,3] = 114641*7779730837 ; E [353,3] = [x^11+5*x^10-x^9-36*x^8-28*x^7+82*x^6+87*x^5-65*x^4-71*x^3+21*x^2+14*x-4, [2,2*x,-5*x^10-21*x^9+19*x^8+154*x^7+30*x^6-354*x^5-153*x^4+259*x^3+99*x^2-39*x-6,2*x^2-4,6*x^10+28*x^9-12*x^8-198*x^7-116*x^6+426*x^5+372*x^4-264*x^3-268*x^2+16*x+34]]; bsd[353,4] = 1/11 ; deg[353,4] = 3*127 ; dsc[353,4] = 2^4*5*551801*12611821*24314514437 ; E [353,4] = [x^14-4*x^13-14*x^12+71*x^11+47*x^10-452*x^9+101*x^8+1251*x^7-740*x^6-1488*x^5+1096*x^4+600*x^3-410*x^2-42*x-1, [8,8*x,x^13-7*x^12-9*x^11+130*x^10-55*x^9-855*x^8+810*x^7+2405*x^6-2763*x^5-2871*x^4+3453*x^3+1145*x^2-1245*x-75,8*x^2-16,14*x^13-50*x^12-206*x^11+884*x^10+830*x^9-5586*x^8+356*x^7+15238*x^6-7554*x^5-17602*x^4+12230*x^3+6526*x^2-4694*x-242]]; bsd[354,1] = 0 ; deg[354,1] = 3*5 ; dsc[354,1] = 1 ; E [354,1] = [x, [1,-1,-1,1,0]]; bsd[354,2] = 1 ; deg[354,2] = 3 ; dsc[354,2] = 1 ; E [354,2] = [x, [1,-1,-1,1,2]]; bsd[354,3] = 1/3 ; deg[354,3] = 5 ; dsc[354,3] = 1 ; E [354,3] = [x, [1,-1,1,1,0]]; bsd[354,4] = 0 ; deg[354,4] = 7 ; dsc[354,4] = 1 ; E [354,4] = [x, [1,1,-1,1,-4]]; bsd[354,5] = 1 ; deg[354,5] = 1 ; dsc[354,5] = 1 ; E [354,5] = [x, [1,1,-1,1,0]]; bsd[354,6] = 11 ; deg[354,6] = 3^2*11 ; dsc[354,6] = 1 ; E [354,6] = [x, [1,1,-1,1,4]]; bsd[354,7] = 5 ; deg[354,7] = 5^2*11 ; dsc[354,7] = 2^2*11 ; E [354,7] = [x^2-2*x-10, [1,-1,1,1,x]]; bsd[354,8] = 19 ; deg[354,8] = 19*29 ; dsc[354,8] = 2^2*79 ; E [354,8] = [x^3-2*x^2-6*x+8, [2,2,2,2,2*x]]; bsd[355,1] = 1/3 ; deg[355,1] = 1 ; dsc[355,1] = 1 ; E [355,1] = [x, [1,0,-2,-2,1]]; bsd[355,2] = 0 ; deg[355,2] = 7*61 ; dsc[355,2] = 19*103 ; E [355,2] = [x^4+4*x^3+2*x^2-5*x-3, [1,x,-x^3-3*x^2+2,x^2-2,1]]; bsd[355,3] = 0 ; deg[355,3] = 1 ; dsc[355,3] = 5^2*29 ; E [355,3] = [x^4+2*x^3-2*x^2-3*x+1, [1,x,-x^3-x^2+2*x,x^2-2,-1]]; bsd[355,4] = 1 ; deg[355,4] = 1 ; dsc[355,4] = 62581037 ; E [355,4] = [x^6-3*x^5-6*x^4+21*x^3+4*x^2-35*x+16, [1,x,-x^3+x^2+4*x-2,x^2-2,1]]; bsd[355,5] = 1 ; deg[355,5] = 103*359 ; dsc[355,5] = 2^7*933591331 ; E [355,5] = [x^8-4*x^7-5*x^6+31*x^5-3*x^4-57*x^3+5*x^2+32*x+8, [2,2*x,2*x^7-6*x^6-12*x^5+42*x^4+6*x^3-56*x^2+4*x+12,2*x^2-4,-2]]; bsd[356,1] = 0 ; deg[356,1] = 3 ; dsc[356,1] = 1 ; E [356,1] = [x, [1,0,-1,0,-1]]; bsd[356,2] = 3 ; deg[356,2] = 3^6 ; dsc[356,2] = 2^7*3*4079*31547 ; E [356,2] = [x^7-x^6-18*x^5+18*x^4+93*x^3-95*x^2-126*x+134, [73,0,73*x,0,-46*x^6-6*x^5+799*x^4+126*x^3-3888*x^2-552*x+4734]]; bsd[357,1] = 0 ; deg[357,1] = 7 ; dsc[357,1] = 1 ; E [357,1] = [x, [1,-2,1,2,-3]]; bsd[357,2] = 1 ; deg[357,2] = 17 ; dsc[357,2] = 1 ; E [357,2] = [x, [1,0,-1,-2,1]]; bsd[357,3] = 0 ; deg[357,3] = 1 ; dsc[357,3] = 1 ; E [357,3] = [x, [1,0,-1,-2,1]]; bsd[357,4] = 1 ; deg[357,4] = 3 ; dsc[357,4] = 1 ; E [357,4] = [x, [1,2,1,2,1]]; bsd[357,5] = 0 ; deg[357,5] = 3*47 ; dsc[357,5] = 2^2*3 ; E [357,5] = [x^2+2*x-2, [1,x,1,-2*x,-x-3]]; bsd[357,6] = 0 ; deg[357,6] = 1 ; dsc[357,6] = 2^3 ; E [357,6] = [x^2-2, [1,x,-1,0,-x-1]]; bsd[357,7] = 1 ; deg[357,7] = 1 ; dsc[357,7] = 2^2*79 ; E [357,7] = [x^3-x^2-4*x+2, [1,x,1,x^2-2,-x+1]]; bsd[357,8] = 1 ; deg[357,8] = 223 ; dsc[357,8] = 2^8*113 ; E [357,8] = [x^4-2*x^3-5*x^2+8*x+2, [1,x,-1,x^2-2,-x^3+x^2+5*x-3]]; bsd[358,1] = 1 ; deg[358,1] = 3*17 ; dsc[358,1] = 1 ; E [358,1] = [x, [1,-1,2,1,0]]; bsd[358,2] = 1/3 ; deg[358,2] = 11 ; dsc[358,2] = 1 ; E [358,2] = [x, [1,1,-2,1,0]]; bsd[358,3] = 1 ; deg[358,3] = 3*5*17 ; dsc[358,3] = 3*7 ; E [358,3] = [x^2-x-5, [1,-1,x,1,3]]; bsd[358,4] = 0 ; deg[358,4] = 79 ; dsc[358,4] = 5 ; E [358,4] = [x^2+3*x+1, [1,1,x,1,-2*x-5]]; bsd[358,5] = 29 ; deg[358,5] = 11^2*29 ; dsc[358,5] = 5 ; E [358,5] = [x^2-x-11, [3,3,-x+5,3,3*x]]; bsd[358,6] = 1/5 ; deg[358,6] = 11 ; dsc[358,6] = 5 ; E [358,6] = [x^2-3*x+1, [1,1,x,1,1]]; bsd[358,7] = 0 ; deg[358,7] = 13 ; dsc[358,7] = 17^3 ; E [358,7] = [x^4+2*x^3-7*x^2-8*x-1, [2,-2,2*x,2,x^3+x^2-9*x-6]]; bsd[359,1] = 0 ; deg[359,1] = 1 ; dsc[359,1] = 1 ; E [359,1] = [x, [1,-1,0,-1,1]]; bsd[359,2] = 0 ; deg[359,2] = 1 ; dsc[359,2] = 1 ; E [359,2] = [x, [1,1,-2,-1,1]]; bsd[359,3] = 0 ; deg[359,3] = 1 ; dsc[359,3] = 2777 ; E [359,3] = [x^4+2*x^3-3*x^2-5*x+1, [1,x,-x^3-x^2+3*x+1,x^2-2,-x-2]]; bsd[359,4] = 1/179 ; deg[359,4] = 1 ; dsc[359,4] = 2^4*3^4*16512254293*64542630435970307*2171776478013633068927 ; E [359,4] = [x^24-x^23-39*x^22+38*x^21+658*x^20-619*x^19-6300*x^18+5654*x^17+37740*x^16-31780*x^15-147096*x^14+113400*x^13+376092*x^12-255412*x^11-621508*x^10+349080*x^9+638532*x^8-266744*x^7-378124*x^6+98609*x^5+110695*x^4-14509*x^3-11972*x^2+780*x+381, [235747603462801695253721,235747603462801695253721*x,-1602259971281292311414*x^23+2535070199865138113860*x^22+58364780315011524436024*x^21-87316532202790041766744*x^20-914060976817924221583118*x^19+1264665868878600575782134*x^18+8088919438943353164191194*x^17-10018516587867869759577110*x^16-44752146629281025763159134*x^15+47225317260747136454940921*x^14+161849990574404999407680046*x^13-134535096935674829898945662*x^12-388545929698346391432449898*x^11+222408874791265956416071774*x^10+613906725607214891686644074*x^9-183651607254654342889069074*x^8-613267952857175869139934302*x^7+28535102178044191495017546*x^6+351940465805991912886831381*x^5+51026380098522174374104544*x^4-93412339482037596682677712*x^3-21883690704068331298381066*x^2+6227221811979044886354542*x+1026953395498779305597052,235747603462801695253721*x^2-471495206925603390507442,2845845013662546464739*x^23-2447792018482001570617*x^22-101596799773264261973636*x^21+76404212950225242413899*x^20+1547314517788223949714671*x^19-958236983994120443104695*x^18-13158464440448911424043463*x^17+6045500883849570828566849*x^16+68676383557081059207753001*x^15-18699558052070012014843887*x^14-227537807635293992915686339*x^13+14267359498739287105320709*x^12+477170573176822561669772612*x^11+73651738052628121096722953*x^10-607737947281787201499665289*x^9-210728066092986939219944726*x^8+422157970536179111909121713*x^7+191589646943914323560838765*x^6-123363657169095027209115171*x^5-38101634714152134188816408*x^4+10517562601958539988713856*x^3-10255503074075539732514609*x^2-1342706028625085600442226*x+969740879854942598224584]]; bsd[360,1] = 0 ; deg[360,1] = 1 ; dsc[360,1] = 1 ; E [360,1] = [x, [1,0,0,0,-1]]; bsd[360,2] = 1 ; deg[360,2] = 1 ; dsc[360,2] = 1 ; E [360,2] = [x, [1,0,0,0,-1]]; bsd[360,3] = 1 ; deg[360,3] = 1 ; dsc[360,3] = 1 ; E [360,3] = [x, [1,0,0,0,-1]]; bsd[360,4] = 1 ; deg[360,4] = 3 ; dsc[360,4] = 1 ; E [360,4] = [x, [1,0,0,0,1]]; bsd[360,5] = 1 ; deg[360,5] = 1 ; dsc[360,5] = 1 ; E [360,5] = [x, [1,0,0,0,1]]; bsd[361,1] = 0 ; deg[361,1] = 5 ; dsc[361,1] = 1 ; E [361,1] = [x, [1,0,0,-2,-1]]; bsd[361,2] = 1 ; deg[361,2] = 3*5 ; dsc[361,2] = 1 ; E [361,2] = [x, [1,0,2,-2,3]]; bsd[361,3] = 1 ; deg[361,3] = 11*19 ; dsc[361,3] = 5 ; E [361,3] = [x^2+x-1, [1,x,-x-2,-x-1,-2*x]]; bsd[361,4] = 1 ; deg[361,4] = 5*11*19 ; dsc[361,4] = 5 ; E [361,4] = [x^2-x-1, [1,2*x-1,-2,3,x]]; bsd[361,5] = 1 ; deg[361,5] = 5*11 ; dsc[361,5] = 5 ; E [361,5] = [x^2-x-1, [1,-2*x+1,2,3,x]]; bsd[361,6] = 1/5 ; deg[361,6] = 11 ; dsc[361,6] = 5 ; E [361,6] = [x^2-x-1, [1,x,-x+2,x-1,2*x]]; bsd[361,7] = 0 ; deg[361,7] = 3*19 ; dsc[361,7] = 3^4 ; E [361,7] = [x^3+3*x^2-3, [1,x,x^2+2*x-2,x^2-2,-x^2-2*x]]; bsd[361,8] = 1 ; deg[361,8] = 3*19^2 ; dsc[361,8] = 3^4 ; E [361,8] = [x^3-3*x^2+3, [1,x,-x^2+2*x+2,x^2-2,-x^2+2*x]]; bsd[361,9] = 0 ; deg[361,9] = 5*19 ; dsc[361,9] = 2^4*5^3 ; E [361,9] = [x^4-5*x^2+5, [1,x,-x,x^2-2,-2*x^2+4]]; bsd[362,1] = 0 ; deg[362,1] = 5 ; dsc[362,1] = 1 ; E [362,1] = [x, [1,-1,-1,1,2]]; bsd[362,2] = 0 ; deg[362,2] = 7 ; dsc[362,2] = 1 ; E [362,2] = [x, [1,1,-1,1,-2]]; bsd[362,3] = 0 ; deg[362,3] = 5*29 ; dsc[362,3] = 5 ; E [362,3] = [x^2+2*x-4, [2,-2,2*x,2,-x-2]]; bsd[362,4] = 23/7 ; deg[362,4] = 17*23 ; dsc[362,4] = 2^3 ; E [362,4] = [x^2-2*x-1, [1,1,x,1,-x+3]]; bsd[362,5] = 1/3 ; deg[362,5] = 3*797 ; dsc[362,5] = 2^3*17*6359 ; E [362,5] = [x^5-4*x^4-2*x^3+17*x^2-x-17, [1,-1,x,1,x^4-3*x^3-3*x^2+8*x+3]]; bsd[362,6] = 17/13 ; deg[362,6] = 17^2 ; dsc[362,6] = 5*1134769 ; E [362,6] = [x^5-13*x^3+3*x^2+38*x-28, [2,2,2*x,2,-x^4+9*x^2+x-10]]; bsd[363,1] = 1 ; deg[363,1] = 3^2*11 ; dsc[363,1] = 1 ; E [363,1] = [x, [1,-2,-1,2,4]]; bsd[363,2] = 1 ; deg[363,2] = 3^2*5 ; dsc[363,2] = 1 ; E [363,2] = [x, [1,-1,-1,-1,-2]]; bsd[363,3] = 1 ; deg[363,3] = 3^2 ; dsc[363,3] = 1 ; E [363,3] = [x, [1,2,-1,2,4]]; bsd[363,4] = 0 ; deg[363,4] = 5*11 ; dsc[363,4] = 5 ; E [363,4] = [x^2+3*x+1, [1,x,-1,-3*x-3,x+2]]; bsd[363,5] = 0 ; deg[363,5] = 5 ; dsc[363,5] = 5 ; E [363,5] = [x^2+x-1, [1,x,1,-x-1,-x-2]]; bsd[363,6] = 0 ; deg[363,6] = 3*11 ; dsc[363,6] = 2^2*3 ; E [363,6] = [x^2-3, [1,x,-1,1,-3]]; bsd[363,7] = 5 ; deg[363,7] = 3^2*5*11 ; dsc[363,7] = 2^2*5 ; E [363,7] = [x^2-5, [1,x,1,3,2]]; bsd[363,8] = 1 ; deg[363,8] = 5*11^2 ; dsc[363,8] = 5 ; E [363,8] = [x^2-x-1, [1,x,1,x-1,x-2]]; bsd[363,9] = 1 ; deg[363,9] = 5*11 ; dsc[363,9] = 5 ; E [363,9] = [x^2-3*x+1, [1,x,-1,3*x-3,-x+2]]; bsd[363,10] = 1/11 ; deg[363,10] = 3^2*11 ; dsc[363,10] = 2^4*3^2*11^2 ; E [363,10] = [x^4-7*x^2+4, [2,2*x,2,2*x^2-4,-2*x^2+8]]; bsd[364,1] = 0 ; deg[364,1] = 3 ; dsc[364,1] = 1 ; E [364,1] = [x, [1,0,-2,0,1]]; bsd[364,2] = 0 ; deg[364,2] = 3*5 ; dsc[364,2] = 1 ; E [364,2] = [x, [1,0,0,0,-3]]; bsd[364,3] = 1 ; deg[364,3] = 3^3 ; dsc[364,3] = 2^3*3 ; E [364,3] = [x^2-6, [1,0,x,0,x-1]]; bsd[364,4] = 1 ; deg[364,4] = 3^2 ; dsc[364,4] = 2^2*3 ; E [364,4] = [x^2-2*x-2, [1,0,x,0,-x+1]]; bsd[365,1] = 11 ; deg[365,1] = 3*5^2*11 ; dsc[365,1] = 2^2*3 ; E [365,1] = [x^2-3, [1,x,2,1,1]]; bsd[365,2] = 0 ; deg[365,2] = 13 ; dsc[365,2] = 7^2 ; E [365,2] = [x^3+x^2-2*x-1, [1,x,x^2-3,x^2-2,1]]; bsd[365,3] = 0 ; deg[365,3] = 19 ; dsc[365,3] = 2^3*47*313 ; E [365,3] = [x^5+x^4-5*x^3-4*x^2+4*x+1, [1,x,-x^2+1,x^2-2,-1]]; bsd[365,4] = 5/37 ; deg[365,4] = 3*5^3 ; dsc[365,4] = 2^4*313*353783 ; E [365,4] = [x^7+x^6-12*x^5-9*x^4+39*x^3+19*x^2-16*x-3, [2,2*x,-x^5-x^4+5*x^3+4*x^2+4*x+1,2*x^2-4,2]]; bsd[365,5] = 1/3 ; deg[365,5] = 3^3 ; dsc[365,5] = 2^4*7*9377894173 ; E [365,5] = [x^8-2*x^7-11*x^6+19*x^5+36*x^4-46*x^3-41*x^2+25*x+3, [4,4*x,-2*x^5+2*x^4+18*x^3-12*x^2-32*x+10,4*x^2-8,-4]]; bsd[366,1] = 1 ; deg[366,1] = 13 ; dsc[366,1] = 1 ; E [366,1] = [x, [1,-1,-1,1,-2]]; bsd[366,2] = 0 ; deg[366,2] = 3 ; dsc[366,2] = 1 ; E [366,2] = [x, [1,-1,1,1,-3]]; bsd[366,3] = 3 ; deg[366,3] = 3*19 ; dsc[366,3] = 1 ; E [366,3] = [x, [1,-1,1,1,1]]; bsd[366,4] = 0 ; deg[366,4] = 5 ; dsc[366,4] = 1 ; E [366,4] = [x, [1,1,-1,1,-3]]; bsd[366,5] = 7 ; deg[366,5] = 7*13 ; dsc[366,5] = 1 ; E [366,5] = [x, [1,1,-1,1,-1]]; bsd[366,6] = 1 ; deg[366,6] = 3*5 ; dsc[366,6] = 1 ; E [366,6] = [x, [1,1,1,1,1]]; bsd[366,7] = 1 ; deg[366,7] = 3 ; dsc[366,7] = 1 ; E [366,7] = [x, [1,1,1,1,1]]; bsd[366,8] = 1 ; deg[366,8] = 13^2*17 ; dsc[366,8] = 17 ; E [366,8] = [x^2-17, [2,-2,-2,2,2*x]]; bsd[367,1] = 0 ; deg[367,1] = 1 ; dsc[367,1] = 81421*15354151381 ; E [367,1] = [x^11+8*x^10+16*x^9-26*x^8-121*x^7-61*x^6+197*x^5+212*x^4-66*x^3-132*x^2-12*x+13, [1,x,-8*x^10-54*x^9-61*x^8+282*x^7+616*x^6-269*x^5-1230*x^4-177*x^3+729*x^2+149*x-83,x^2-2,24*x^10+162*x^9+181*x^8-852*x^7-1836*x^6+844*x^5+3668*x^4+472*x^3-2173*x^2-426*x+246]]; bsd[367,2] = 1/61 ; deg[367,2] = 1 ; dsc[367,2] = 7*251387*418175501*13144405392643360366681 ; E [367,2] = [x^19-9*x^18+11*x^17+123*x^16-372*x^15-469*x^14+2884*x^13-550*x^12-10042*x^11+8029*x^10+17059*x^9-20350*x^8-12836*x^7+20779*x^6+2682*x^5-7739*x^4+63*x^3+899*x^2-27*x-29, [23610721,23610721*x,6827828*x^18-49682236*x^17-6832536*x^16+803001118*x^15-1171782712*x^14-4794282730*x^13+10991047449*x^12+12384298965*x^11-42478188938*x^10-9593322662*x^9+80448498286*x^8-13480943176*x^7-72276385698*x^6+24824130950*x^5+25244646700*x^4-9251148553*x^3-3069626859*x^2+818237984*x+127146744,23610721*x^2-47221442,-1297203*x^18+14414733*x^17-31674448*x^16-177259634*x^15+783001630*x^14+404568652*x^13-5772832937*x^12+3265357555*x^11+19924295543*x^10-21018429365*x^9-34798304039*x^8+47067197132*x^7+29544729494*x^6-45508663466*x^5-10825879428*x^4+15709586993*x^3+2047419967*x^2-1129150019*x-90300556]]; bsd[368,1] = 0 ; deg[368,1] = 3 ; dsc[368,1] = 1 ; E [368,1] = [x, [1,0,-3,0,0]]; bsd[368,2] = 0 ; deg[368,2] = 1 ; dsc[368,2] = 1 ; E [368,2] = [x, [1,0,-1,0,0]]; bsd[368,3] = 0 ; deg[368,3] = 3 ; dsc[368,3] = 1 ; E [368,3] = [x, [1,0,0,0,0]]; bsd[368,4] = 1 ; deg[368,4] = 3*5 ; dsc[368,4] = 1 ; E [368,4] = [x, [1,0,0,0,4]]; bsd[368,5] = 0 ; deg[368,5] = 1 ; dsc[368,5] = 1 ; E [368,5] = [x, [1,0,1,0,-4]]; bsd[368,6] = 1 ; deg[368,6] = 1 ; dsc[368,6] = 1 ; E [368,6] = [x, [1,0,1,0,-2]]; bsd[368,7] = 1 ; deg[368,7] = 3 ; dsc[368,7] = 1 ; E [368,7] = [x, [1,0,3,0,-2]]; bsd[368,8] = 1 ; deg[368,8] = 5 ; dsc[368,8] = 2^2*5 ; E [368,8] = [x^2-5, [1,0,x,0,x-1]]; bsd[368,9] = 1 ; deg[368,9] = 1 ; dsc[368,9] = 17 ; E [368,9] = [x^2-x-4, [1,0,x,0,2]]; bsd[369,1] = 0 ; deg[369,1] = 1 ; dsc[369,1] = 1 ; E [369,1] = [x, [1,0,0,-2,2]]; bsd[369,2] = 1 ; deg[369,2] = 5 ; dsc[369,2] = 1 ; E [369,2] = [x, [1,2,0,2,4]]; bsd[369,3] = 0 ; deg[369,3] = 1 ; dsc[369,3] = 2^3 ; E [369,3] = [x^2-2, [1,x,0,0,-x-2]]; bsd[369,4] = 0 ; deg[369,4] = 1 ; dsc[369,4] = 2^2*37 ; E [369,4] = [x^3+2*x^2-2*x-2, [1,x,0,x^2-2,-x-2]]; bsd[369,5] = 1 ; deg[369,5] = 23 ; dsc[369,5] = 2^2*79 ; E [369,5] = [x^3+x^2-4*x-2, [1,x,0,x^2-2,x^2+x-4]]; bsd[369,6] = 1 ; deg[369,6] = 5*23 ; dsc[369,6] = 2^2*37 ; E [369,6] = [x^3-x^2-5*x+1, [2,2*x,0,2*x^2-4,-2*x+2]]; bsd[369,7] = 1 ; deg[369,7] = 3^3 ; dsc[369,7] = 2^2*37 ; E [369,7] = [x^3-2*x^2-2*x+2, [1,x,0,x^2-2,-x+2]]; bsd[370,1] = 1/3 ; deg[370,1] = 3^3 ; dsc[370,1] = 1 ; E [370,1] = [x, [1,-1,-2,1,-1]]; bsd[370,2] = 0 ; deg[370,2] = 1 ; dsc[370,2] = 1 ; E [370,2] = [x, [1,-1,0,1,-1]]; bsd[370,3] = 1 ; deg[370,3] = 11 ; dsc[370,3] = 1 ; E [370,3] = [x, [1,-1,2,1,1]]; bsd[370,4] = 1 ; deg[370,4] = 3 ; dsc[370,4] = 1 ; E [370,4] = [x, [1,1,-2,1,1]]; bsd[370,5] = 0 ; deg[370,5] = 3*13 ; dsc[370,5] = 2^2*3 ; E [370,5] = [x^2+2*x-2, [1,-1,x,1,1]]; bsd[370,6] = 3 ; deg[370,6] = 3 ; dsc[370,6] = 3*11 ; E [370,6] = [x^2+3*x-6, [1,1,2,1,1]]; bsd[370,7] = 5 ; deg[370,7] = 5*31 ; dsc[370,7] = 2^2*223 ; E [370,7] = [x^3-10*x+4, [2,2,2*x,2,-2]]; bsd[371,1] = 0 ; deg[371,1] = 1 ; dsc[371,1] = 1 ; E [371,1] = [x, [1,1,-1,-1,0]]; bsd[371,2] = 3 ; deg[371,2] = 3*5 ; dsc[371,2] = 1 ; E [371,2] = [x, [1,2,0,2,3]]; bsd[371,3] = 0 ; deg[371,3] = 5 ; dsc[371,3] = 5 ; E [371,3] = [x^2+x-1, [1,x,x,-x-1,-x-2]]; bsd[371,4] = 0 ; deg[371,4] = 1 ; dsc[371,4] = 229 ; E [371,4] = [x^3-4*x-1, [1,x,-x,x^2-2,-x^2+1]]; bsd[371,5] = 1 ; deg[371,5] = 191 ; dsc[371,5] = 2^8*7*64627370911 ; E [371,5] = [x^9-15*x^7+x^6+74*x^5-9*x^4-132*x^3+24*x^2+64*x-16, [8,8*x,x^8-15*x^6-3*x^5+70*x^4+23*x^3-104*x^2-28*x+32,8*x^2-16,x^8-11*x^6+5*x^5+34*x^4-37*x^3-24*x^2+56*x]]; bsd[371,6] = 1/3^3 ; deg[371,6] = 5 ; dsc[371,6] = 2^14*157*76723322773093 ; E [371,6] = [x^11+x^10-20*x^9-19*x^8+140*x^7+125*x^6-396*x^5-333*x^4+359*x^3+298*x^2-4*x-24, [8,8*x,6*x^10+3*x^9-121*x^8-53*x^7+860*x^6+313*x^5-2513*x^4-715*x^3+2520*x^2+508*x-304,8*x^2-16,-4*x^10-2*x^9+80*x^8+36*x^7-562*x^6-218*x^5+1612*x^4+516*x^3-1558*x^2-388*x+168]]; bsd[372,1] = 0 ; deg[372,1] = 3 ; dsc[372,1] = 1 ; E [372,1] = [x, [1,0,-1,0,-1]]; bsd[372,2] = 0 ; deg[372,2] = 3 ; dsc[372,2] = 1 ; E [372,2] = [x, [1,0,1,0,-3]]; bsd[372,3] = 1 ; deg[372,3] = 3*5 ; dsc[372,3] = 1 ; E [372,3] = [x, [1,0,1,0,-2]]; bsd[372,4] = 3 ; deg[372,4] = 3^2*5 ; dsc[372,4] = 1 ; E [372,4] = [x, [1,0,1,0,3]]; bsd[372,5] = 1 ; deg[372,5] = 3^2 ; dsc[372,5] = 17 ; E [372,5] = [x^2-3*x-2, [1,0,-1,0,x]]; bsd[373,1] = 0 ; deg[373,1] = 11 ; dsc[373,1] = 1 ; E [373,1] = [x, [1,-2,1,2,2]]; bsd[373,2] = 0 ; deg[373,2] = 11 ; dsc[373,2] = 7*11*2143*1542194372227 ; E [373,2] = [x^12+4*x^11-8*x^10-43*x^9+14*x^8+161*x^7+17*x^6-260*x^5-53*x^4+177*x^3+18*x^2-42*x+7, [839,839*x,-183*x^11-627*x^10+1810*x^9+6913*x^8-5772*x^7-26330*x^6+5697*x^5+41863*x^4+3312*x^3-26479*x^2-5280*x+3976,839*x^2-1678,580*x^11+2111*x^10-5081*x^9-22286*x^8+12352*x^7+80296*x^6-1895*x^5-119660*x^4-23756*x^3+67656*x^2+16982*x-9704]]; bsd[373,3] = 1/31 ; deg[373,3] = 1 ; dsc[373,3] = 2^6*23*199*673*72819251148518000363297 ; E [373,3] = [x^17-4*x^16-18*x^15+85*x^14+111*x^13-713*x^12-211*x^11+3017*x^10-469*x^9-6832*x^8+2513*x^7+8146*x^6-3634*x^5-4743*x^4+2092*x^3+1142*x^2-417*x-62, [5322596,5322596*x,43848*x^16-531482*x^15+1957488*x^14+3114922*x^13-36176894*x^12+39893664*x^11+195095004*x^10-404134138*x^9-384378238*x^8+1276815024*x^7+147787258*x^6-1693228714*x^5+230426202*x^4+919745778*x^3-113227628*x^2-162802298*x-3259832,5322596*x^2-10645192,-815598*x^16+2995556*x^15+14337798*x^14-59094098*x^13-91944496*x^12+455722560*x^11+256202922*x^10-1758635766*x^9-247643432*x^8+3591672946*x^7-126593478*x^6-3750966442*x^5+260056638*x^4+1770048476*x^3-21180542*x^2-286942728*x-23639688]]; bsd[374,1] = 0 ; deg[374,1] = 5 ; dsc[374,1] = 1 ; E [374,1] = [x, [1,-1,0,1,0]]; bsd[374,2] = 1/3 ; deg[374,2] = 5^3 ; dsc[374,2] = 5*157 ; E [374,2] = [x^3+x^2-6*x-5, [1,-1,x,1,-x^2+4]]; bsd[374,3] = 37/3 ; deg[374,3] = 3^2*37 ; dsc[374,3] = 257 ; E [374,3] = [x^3-3*x^2-2*x+7, [1,1,x,1,-x^2+4]]; bsd[374,4] = 1/3 ; deg[374,4] = 3*5^2 ; dsc[374,4] = 5*11117 ; E [374,4] = [x^4-x^3-10*x^2+9*x+16, [1,-1,x,1,x^2-4]]; bsd[374,5] = 13 ; deg[374,5] = 5*13 ; dsc[374,5] = 17417 ; E [374,5] = [x^4-x^3-10*x^2+13*x-4, [1,1,x,1,2*x^3-x^2-20*x+14]]; bsd[375,1] = 0 ; deg[375,1] = 5*31 ; dsc[375,1] = 5 ; E [375,1] = [x^2+3*x+1, [1,x,1,-3*x-3,0]]; bsd[375,2] = 0 ; deg[375,2] = 5 ; dsc[375,2] = 5 ; E [375,2] = [x^2+x-1, [1,x,-1,-x-1,0]]; bsd[375,3] = 1/5 ; deg[375,3] = 5^2 ; dsc[375,3] = 5 ; E [375,3] = [x^2-x-1, [1,x,1,x-1,0]]; bsd[375,4] = 1 ; deg[375,4] = 5^3*31 ; dsc[375,4] = 5 ; E [375,4] = [x^2-3*x+1, [1,x,-1,3*x-3,0]]; bsd[375,5] = 1 ; deg[375,5] = 5^4*29 ; dsc[375,5] = 5^2*101 ; E [375,5] = [x^4+3*x^3-3*x^2-11*x-1, [1,x,-1,x^2-2,0]]; bsd[375,6] = 29/5 ; deg[375,6] = 5^3*29 ; dsc[375,6] = 5^2*101 ; E [375,6] = [x^4-3*x^3-3*x^2+11*x-1, [1,x,1,x^2-2,0]]; bsd[376,1] = 0 ; deg[376,1] = 1 ; dsc[376,1] = 5 ; E [376,1] = [x^2-x-11, [3,0,-x-1,0,-6]]; bsd[376,2] = 0 ; deg[376,2] = 1 ; dsc[376,2] = 5 ; E [376,2] = [x^2+2*x-4, [2,0,-x-2,0,2*x]]; bsd[376,3] = 1 ; deg[376,3] = 1 ; dsc[376,3] = 2^2*5^3*61 ; E [376,3] = [x^4+x^3-9*x^2-4*x+16, [2,0,2*x,0,x^3+x^2-5*x]]; bsd[376,4] = 1 ; deg[376,4] = 1 ; dsc[376,4] = 2^3*41^2 ; E [376,4] = [x^4-3*x^3-5*x^2+16*x-8, [2,0,2*x,0,x^3-3*x^2-5*x+12]]; bsd[377,1] = 0 ; deg[377,1] = 7 ; dsc[377,1] = 1 ; E [377,1] = [x, [1,1,0,-1,-2]]; bsd[377,2] = 1 ; deg[377,2] = 3 ; dsc[377,2] = 2^2*3 ; E [377,2] = [x^2-3, [1,x,x+1,1,-2*x]]; bsd[377,3] = 0 ; deg[377,3] = 7*31 ; dsc[377,3] = 202817 ; E [377,3] = [x^5+3*x^4-3*x^3-13*x^2-8*x-1, [1,x,-2*x^4-5*x^3+8*x^2+21*x+6,x^2-2,2*x^4+5*x^3-8*x^2-22*x-7]]; bsd[377,4] = 0 ; deg[377,4] = 1 ; dsc[377,4] = 36497 ; E [377,4] = [x^5+x^4-5*x^3-3*x^2+6*x+1, [1,x,x^3-3*x,x^2-2,-x^3-2*x^2+2*x+3]]; bsd[377,5] = 1/7 ; deg[377,5] = 3*7*23 ; dsc[377,5] = 2^2*829*400031 ; E [377,5] = [x^7-3*x^6-8*x^5+26*x^4+9*x^3-36*x^2-14*x+3, [1,x,-x^6+2*x^5+8*x^4-15*x^3-7*x^2+8*x+1,x^2-2,-x^6+2*x^5+8*x^4-15*x^3-7*x^2+9*x]]; bsd[377,6] = 1/3*5 ; deg[377,6] = 1 ; dsc[377,6] = 2^8*5^2*991*54126547 ; E [377,6] = [x^9-x^8-13*x^7+13*x^6+51*x^5-50*x^4-59*x^3+45*x^2+20*x-3, [4,4*x,3*x^8-37*x^6+133*x^4-x^3-124*x^2-17*x+7,4*x^2-8,2*x^8-26*x^6+102*x^4-2*x^3-116*x^2-2*x+18]]; bsd[378,1] = 1 ; deg[378,1] = 3*5*7 ; dsc[378,1] = 1 ; E [378,1] = [x, [1,-1,0,1,-4]]; bsd[378,2] = 0 ; deg[378,2] = 3^2 ; dsc[378,2] = 1 ; E [378,2] = [x, [1,-1,0,1,-3]]; bsd[378,3] = 0 ; deg[378,3] = 3 ; dsc[378,3] = 1 ; E [378,3] = [x, [1,-1,0,1,-1]]; bsd[378,4] = 1/3 ; deg[378,4] = 3^2 ; dsc[378,4] = 1 ; E [378,4] = [x, [1,-1,0,1,0]]; bsd[378,5] = 1 ; deg[378,5] = 3^2 ; dsc[378,5] = 1 ; E [378,5] = [x, [1,1,0,1,0]]; bsd[378,6] = 1 ; deg[378,6] = 3^2 ; dsc[378,6] = 1 ; E [378,6] = [x, [1,1,0,1,1]]; bsd[378,7] = 1 ; deg[378,7] = 3^2 ; dsc[378,7] = 1 ; E [378,7] = [x, [1,1,0,1,3]]; bsd[378,8] = 5 ; deg[378,8] = 3^2*5*7 ; dsc[378,8] = 1 ; E [378,8] = [x, [1,1,0,1,4]]; bsd[379,1] = 0 ; deg[379,1] = 1 ; dsc[379,1] = 59*317*421*278329*5698591 ; E [379,1] = [x^13+5*x^12-5*x^11-56*x^10-27*x^9+210*x^8+184*x^7-347*x^6-346*x^5+252*x^4+246*x^3-60*x^2-48*x-1, [1,x,-2*x^12-5*x^11+23*x^10+54*x^9-91*x^8-187*x^7+164*x^6+262*x^5-121*x^4-154*x^3+20*x^2+33*x+2,x^2-2,x^12+x^11-12*x^10-x^9+52*x^8-62*x^7-105*x^6+246*x^5+67*x^4-255*x^3+4*x^2+46*x+1]]; bsd[379,2] = 1/3^2*7 ; deg[379,2] = 1 ; dsc[379,2] = 2^2*2117788336277*2851210737989187265253 ; E [379,2] = [x^18-3*x^17-22*x^16+69*x^15+190*x^14-638*x^13-807*x^12+3041*x^11+1680*x^10-7967*x^9-1220*x^8+11334*x^7-1006*x^6-8079*x^5+1938*x^4+2287*x^3-752*x^2-68*x+24, [3586350380,3586350380*x,479293866*x^17-968565754*x^16-11674794408*x^15+21840155982*x^14+116768755868*x^13-196061121776*x^12-619584674826*x^11+892987096902*x^10+1875177503828*x^9-2177146395770*x^8-3215718600940*x^7+2760644600164*x^6+2872141071020*x^5-1651593106674*x^4-1063573502048*x^3+370551691350*x^2+62657409348*x-13968787336,3586350380*x^2-7172700760,-587362301*x^17+1362705089*x^16+13963930728*x^15-31159994897*x^14-135139583288*x^13+285168273186*x^12+685645325291*x^11-1335062480207*x^10-1951520223498*x^9+3390633934555*x^8+3068824758890*x^7-4575815442434*x^6-2392760910710*x^5+2998847142899*x^4+657622348228*x^3-745847896095*x^2+31577025842*x+23737234776]]; bsd[380,1] = 0 ; deg[380,1] = 3 ; dsc[380,1] = 1 ; E [380,1] = [x, [1,0,0,0,-1]]; bsd[380,2] = 3 ; deg[380,2] = 3*5 ; dsc[380,2] = 1 ; E [380,2] = [x, [1,0,2,0,-1]]; bsd[380,3] = 0 ; deg[380,3] = 3^2*7 ; dsc[380,3] = 2^3 ; E [380,3] = [x^2+4*x+2, [1,0,x,0,1]]; bsd[380,4] = 1 ; deg[380,4] = 3^2 ; dsc[380,4] = 2^2*3 ; E [380,4] = [x^2-2*x-2, [1,0,x,0,1]]; bsd[381,1] = 0 ; deg[381,1] = 5 ; dsc[381,1] = 1 ; E [381,1] = [x, [1,0,1,-2,-1]]; bsd[381,2] = 1 ; deg[381,2] = 11 ; dsc[381,2] = 1 ; E [381,2] = [x, [1,2,1,2,3]]; bsd[381,3] = 0 ; deg[381,3] = 19 ; dsc[381,3] = 81509 ; E [381,3] = [x^5+x^4-5*x^3-3*x^2+5*x+2, [1,x,-1,x^2-2,-x^4-x^3+3*x^2+x-1]]; bsd[381,4] = 1 ; deg[381,4] = 647 ; dsc[381,4] = 2^4*15427 ; E [381,4] = [x^5-2*x^4-6*x^3+10*x^2+5*x-4, [2,2*x,-2,2*x^2-4,x^4-2*x^3-5*x^2+8*x+2]]; bsd[381,5] = 109 ; deg[381,5] = 11*109 ; dsc[381,5] = 2^4*98361184089911 ; E [381,5] = [x^9+2*x^8-14*x^7-26*x^6+59*x^5+99*x^4-66*x^3-102*x^2-24*x-1, [12,12*x,12,12*x^2-24,2*x^8+6*x^7-28*x^6-80*x^5+116*x^4+314*x^3-118*x^2-340*x-64]]; bsd[382,1] = 0 ; deg[382,1] = 5 ; dsc[382,1] = 13^2 ; E [382,1] = [x^3+x^2-4*x+1, [1,-1,x,1,-x^2-2*x+1]]; bsd[382,2] = 0 ; deg[382,2] = 967 ; dsc[382,2] = 7^2 ; E [382,2] = [x^3+5*x^2+6*x+1, [1,1,x,1,x^2+2*x-3]]; bsd[382,3] = 11 ; deg[382,3] = 11 ; dsc[382,3] = 11*619 ; E [382,3] = [x^4-3*x^3-2*x^2+9*x-4, [1,1,x,1,x^3-2*x^2-4*x+6]]; bsd[382,4] = 1 ; deg[382,4] = 11*6277 ; dsc[382,4] = 2^2*44171 ; E [382,4] = [x^5-3*x^4-8*x^3+25*x^2+8*x-32, [12,-12,12*x,12,6*x^4-6*x^3-48*x^2+30*x+72]]; bsd[383,1] = 0 ; deg[383,1] = 11 ; dsc[383,1] = 5 ; E [383,1] = [x^2+x-1, [1,x,x-1,-x-1,x+1]]; bsd[383,2] = 0 ; deg[383,2] = 11 ; dsc[383,2] = 3151861 ; E [383,2] = [x^6+3*x^5-3*x^4-12*x^3-x^2+8*x+3, [1,x,x^5+2*x^4-5*x^3-8*x^2+5*x+5,x^2-2,-x^5-2*x^4+5*x^3+8*x^2-6*x-6]]; bsd[383,3] = 1/191 ; deg[383,3] = 1 ; dsc[383,3] = 13*72893*16141144314299*178236551484825400362837637090811 ; E [383,3] = [x^24-5*x^23-26*x^22+160*x^21+244*x^20-2173*x^19-711*x^18+16368*x^17-4007*x^16-75111*x^15+42025*x^14+217575*x^13-160547*x^12-399209*x^11+331301*x^10+452295*x^9-388291*x^8-296126*x^7+247918*x^6+96139*x^5-75925*x^4-9553*x^3+8302*x^2-342*x-49, [171261395095631272311751,171261395095631272311751*x,1084096506569374761529*x^23-4676875943116968677282*x^22-31583475280793780500313*x^21+152566634472831118219863*x^20+372951514300544040527356*x^19-2120956637059806820309931*x^18-2237731450385977579008227*x^17+16431900607176618615705457*x^16+6639912945399504566900223*x^15-77962372918852004962730187*x^14-4380780678721158671743857*x^13+234627743402340948897499420*x^12-31477807299921149814988089*x^11-448553612782604426400687115*x^10+103564802957874038494431159*x^9+528715210308935946866134213*x^8-141619619359403870741784233*x^7-356295368351683988050858160*x^6+94637141308415036342531354*x^5+115154983522165788227142836*x^4-27506282984830510686812638*x^3-9892974265624022859872873*x^2+2311496093947297524326116*x-389483847462182006318744,171261395095631272311751*x^2-342522790191262544623502,1610980210331729423845*x^23-8446847331575999174002*x^22-39970741358661123724722*x^21+267656685633220429785018*x^20+335473799924255861905797*x^19-3591725690932758179304004*x^18-429234804791023809832334*x^17+26664821150880028634189110*x^16-11179077743671649715676360*x^15-120306200079762732123826154*x^14+85204117927300822187283972*x^13+342184255162149946289579744*x^12-292904552013233378168312504*x^11-617741442439761706388305102*x^10+555855261588572105838398752*x^9+695093550349174674477524824*x^8-588920867521043088632965786*x^7-462229800092140980767054919*x^6+322234199382349937387872098*x^5+158957241591136791549689730*x^4-74981843769039390084313492*x^3-18197112748073666970506467*x^2+5608668948767292210169994*x-190592589254782134167054]]; bsd[384,1] = 1 ; deg[384,1] = 3 ; dsc[384,1] = 1 ; E [384,1] = [x, [1,0,-1,0,-4]]; bsd[384,2] = 0 ; deg[384,2] = 1 ; dsc[384,2] = 1 ; E [384,2] = [x, [1,0,-1,0,0]]; bsd[384,3] = 1 ; deg[384,3] = 1 ; dsc[384,3] = 1 ; E [384,3] = [x, [1,0,-1,0,0]]; bsd[384,4] = 1 ; deg[384,4] = 3 ; dsc[384,4] = 1 ; E [384,4] = [x, [1,0,-1,0,4]]; bsd[384,5] = 0 ; deg[384,5] = 3 ; dsc[384,5] = 1 ; E [384,5] = [x, [1,0,1,0,-4]]; bsd[384,6] = 1 ; deg[384,6] = 1 ; dsc[384,6] = 1 ; E [384,6] = [x, [1,0,1,0,0]]; bsd[384,7] = 1 ; deg[384,7] = 1 ; dsc[384,7] = 1 ; E [384,7] = [x, [1,0,1,0,0]]; bsd[384,8] = 3 ; deg[384,8] = 3 ; dsc[384,8] = 1 ; E [384,8] = [x, [1,0,1,0,4]]; bsd[385,1] = 0 ; deg[385,1] = 1 ; dsc[385,1] = 1 ; E [385,1] = [x, [1,-1,-2,-1,1]]; bsd[385,2] = 0 ; deg[385,2] = 1 ; dsc[385,2] = 1 ; E [385,2] = [x, [1,-1,0,-1,1]]; bsd[385,3] = 1/3 ; deg[385,3] = 3 ; dsc[385,3] = 2^2*3 ; E [385,3] = [x^2-3, [1,x,x+1,1,-1]]; bsd[385,4] = 1 ; deg[385,4] = 3^2 ; dsc[385,4] = 2^3 ; E [385,4] = [x^2-2*x-1, [1,x,x-1,2*x-1,-1]]; bsd[385,5] = 0 ; deg[385,5] = 5^3 ; dsc[385,5] = 2^2*37 ; E [385,5] = [x^3+4*x^2+2*x-2, [1,-x^2-3*x-1,x,x^2+4*x+3,-1]]; bsd[385,6] = 0 ; deg[385,6] = 5 ; dsc[385,6] = 2^2*37 ; E [385,6] = [x^3+2*x^2-2*x-2, [1,-x^2-x+1,x,x^2-1,-1]]; bsd[385,7] = 1 ; deg[385,7] = 5 ; dsc[385,7] = 2^2*37 ; E [385,7] = [x^3-x^2-3*x+1, [1,x,x^2-x-2,x^2-2,1]]; bsd[385,8] = 7 ; deg[385,8] = 7*19 ; dsc[385,8] = 2^4*2837 ; E [385,8] = [x^4-2*x^3-6*x^2+8*x+7, [1,x,-x^2+x+4,x^2-2,1]]; bsd[386,1] = 0 ; deg[386,1] = 29 ; dsc[386,1] = 5 ; E [386,1] = [x^2+x-1, [1,-1,x,1,-x]]; bsd[386,2] = 0 ; deg[386,2] = 31 ; dsc[386,2] = 5 ; E [386,2] = [x^2+3*x+1, [1,1,x,1,-x-4]]; bsd[386,3] = 1/3 ; deg[386,3] = 5*271 ; dsc[386,3] = 2^4*9659021 ; E [386,3] = [x^6-x^5-12*x^4+7*x^3+40*x^2-13*x-37, [2,-2,2*x,2,-x^5+11*x^3+4*x^2-23*x-12]]; bsd[386,4] = 19*229/97 ; deg[386,4] = 19*229 ; dsc[386,4] = 2^4*14653*22961 ; E [386,4] = [x^7-3*x^6-10*x^5+33*x^4+14*x^3-91*x^2+45*x+16, [2,2,2*x,2,-6*x^6+9*x^5+74*x^4-89*x^3-220*x^2+229*x+72]]; bsd[387,1] = 1 ; deg[387,1] = 3*5 ; dsc[387,1] = 1 ; E [387,1] = [x, [1,-1,0,-1,-2]]; bsd[387,2] = 0 ; deg[387,2] = 1 ; dsc[387,2] = 1 ; E [387,2] = [x, [1,-1,0,-1,1]]; bsd[387,3] = 1 ; deg[387,3] = 1 ; dsc[387,3] = 1 ; E [387,3] = [x, [1,0,0,-2,2]]; bsd[387,4] = 0 ; deg[387,4] = 3 ; dsc[387,4] = 1 ; E [387,4] = [x, [1,1,0,-1,-1]]; bsd[387,5] = 1 ; deg[387,5] = 3 ; dsc[387,5] = 1 ; E [387,5] = [x, [1,2,0,2,4]]; bsd[387,6] = 0 ; deg[387,6] = 7 ; dsc[387,6] = 2^3 ; E [387,6] = [x^2+2*x-1, [1,x,0,-2*x-1,-x-2]]; bsd[387,7] = 1/3 ; deg[387,7] = 5^2 ; dsc[387,7] = 2^2*3 ; E [387,7] = [x^2-12, [2,0,0,-4,2*x]]; bsd[387,8] = 0 ; deg[387,8] = 7 ; dsc[387,8] = 2^3 ; E [387,8] = [x^2-2, [1,x,0,0,-x-2]]; bsd[387,9] = 1 ; deg[387,9] = 5 ; dsc[387,9] = 2^3*71 ; E [387,9] = [x^3-2*x^2-5*x+8, [1,x,0,x^2-2,-x+2]]; bsd[387,10] = 1 ; deg[387,10] = 3^2*5^2 ; dsc[387,10] = 2^4*5^2*13^2 ; E [387,10] = [x^4-9*x^2+4, [2,x^3-7*x,0,6,2*x]]; bsd[388,1] = 0 ; deg[388,1] = 3^3 ; dsc[388,1] = 7^2 ; E [388,1] = [x^3+2*x^2-x-1, [1,0,x,0,-x^2-2*x-1]]; bsd[388,2] = 1 ; deg[388,2] = 3^5 ; dsc[388,2] = 2^2*179*1297 ; E [388,2] = [x^5-2*x^4-9*x^3+15*x^2+20*x-24, [2,0,2*x,0,-2*x^3+2*x^2+10*x-4]]; bsd[389,1] = 0 ; deg[389,1] = 5 ; dsc[389,1] = 1 ; E [389,1] = [x, [1,-2,-2,2,-3]]; bsd[389,2] = 0 ; deg[389,2] = 3^2 ; dsc[389,2] = 2^3 ; E [389,2] = [x^2-2, [1,x,x-2,0,-1]]; bsd[389,3] = 0 ; deg[389,3] = 31 ; dsc[389,3] = 2^2*37 ; E [389,3] = [x^3-4*x-2, [1,x,-x,x^2-2,-x^2+1]]; bsd[389,4] = 0 ; deg[389,4] = 3^2*31 ; dsc[389,4] = 5^3*3881 ; E [389,4] = [x^6+3*x^5-2*x^4-8*x^3+2*x^2+4*x-1, [1,x,x^5+3*x^4-2*x^3-8*x^2+x+2,x^2-2,-x^5-2*x^4+4*x^3+6*x^2-4*x-2]]; bsd[389,5] = 5^2/97 ; deg[389,5] = 5 ; dsc[389,5] = 2^18*5*389*215517113148241*477439237737571441 ; E [389,5] = [x^20-3*x^19-29*x^18+91*x^17+338*x^16-1130*x^15-2023*x^14+7432*x^13+6558*x^12-28021*x^11-10909*x^10+61267*x^9+6954*x^8-74752*x^7+1407*x^6+46330*x^5-1087*x^4-12558*x^3-942*x^2+960*x+148, [1097385680,1097385680*x,-20146763*x^19+102331615*x^18+479539092*x^17-3014444212*x^16-3813583550*x^15+36114755350*x^14+6349339639*x^13-227515736964*x^12+71555185319*x^11+816654992625*x^10-446376673498*x^9-1698789732650*x^8+1063778499268*x^7+1996558922610*x^6-1167579836501*x^5-1238356001958*x^4+523532113822*x^3+352838824320*x^2-58584308844*x-25674258672,1097385680*x^2-2194771360,252247073*x^19-891959550*x^18-6876716517*x^17+26496463622*x^16+72786773940*x^15-320412453470*x^14-367946611589*x^13+2037515640679*x^12+816602908511*x^11-7362417623180*x^10-19595857657*x^9+15268061830300*x^8-3231235704008*x^7-17434580927450*x^6+5304122556631*x^5+9907751136883*x^4-2818638584772*x^3-2368140320390*x^2+353306303764*x+151286932412]]; bsd[390,1] = 0 ; deg[390,1] = 1 ; dsc[390,1] = 1 ; E [390,1] = [x, [1,-1,-1,1,-1]]; bsd[390,2] = 1 ; deg[390,2] = 5 ; dsc[390,2] = 1 ; E [390,2] = [x, [1,-1,-1,1,1]]; bsd[390,3] = 1 ; deg[390,3] = 5 ; dsc[390,3] = 1 ; E [390,3] = [x, [1,-1,1,1,-1]]; bsd[390,4] = 3 ; deg[390,4] = 3^2*5 ; dsc[390,4] = 1 ; E [390,4] = [x, [1,-1,1,1,1]]; bsd[390,5] = 1 ; deg[390,5] = 3 ; dsc[390,5] = 1 ; E [390,5] = [x, [1,1,-1,1,-1]]; bsd[390,6] = 1 ; deg[390,6] = 1 ; dsc[390,6] = 1 ; E [390,6] = [x, [1,1,-1,1,1]]; bsd[390,7] = 1 ; deg[390,7] = 3 ; dsc[390,7] = 1 ; E [390,7] = [x, [1,1,1,1,-1]]; bsd[390,8] = 7 ; deg[390,8] = 7^2 ; dsc[390,8] = 2^5 ; E [390,8] = [x^2-8, [1,1,1,1,1]]; bsd[391,1] = 0 ; deg[391,1] = 3^2 ; dsc[391,1] = 5 ; E [391,1] = [x^2+x-1, [1,x,1,-x-1,-2*x-2]]; bsd[391,2] = 0 ; deg[391,2] = 3^2 ; dsc[391,2] = 257 ; E [391,2] = [x^3+x^2-4*x-3, [1,x,-2,x^2-2,-x^2+2]]; bsd[391,3] = 0 ; deg[391,3] = 5^2 ; dsc[391,3] = 13^2 ; E [391,3] = [x^3+x^2-4*x+1, [1,x,0,x^2-2,-x^2-2*x+2]]; bsd[391,4] = 1/3 ; deg[391,4] = 109 ; dsc[391,4] = 2^6*13*89*151*1527893 ; E [391,4] = [x^9-2*x^8-12*x^7+23*x^6+43*x^5-79*x^4-43*x^3+78*x^2+11*x-21, [4,4*x,-x^8+x^7+14*x^6-10*x^5-66*x^4+28*x^3+114*x^2-19*x-47,4*x^2-8,-x^8+x^7+13*x^6-11*x^5-55*x^4+35*x^3+85*x^2-26*x-36]]; bsd[391,5] = 1 ; deg[391,5] = 7 ; dsc[391,5] = 2^6*12821*12034553*407626231 ; E [391,5] = [x^12-4*x^11-12*x^10+62*x^9+27*x^8-321*x^7+108*x^6+625*x^5-362*x^4-372*x^3+116*x^2+97*x+13, [14,14*x,-9*x^11+24*x^10+133*x^9-362*x^8-623*x^7+1776*x^6+920*x^5-3003*x^4-60*x^3+867*x^2+98*x+9,14*x^2-28,-x^11-9*x^10+42*x^9+141*x^8-483*x^7-736*x^6+2168*x^5+1435*x^4-3677*x^3-886*x^2+1407*x+379]]; bsd[392,1] = 0 ; deg[392,1] = 3 ; dsc[392,1] = 1 ; E [392,1] = [x, [1,0,-3,0,1]]; bsd[392,2] = 1 ; deg[392,2] = 3 ; dsc[392,2] = 1 ; E [392,2] = [x, [1,0,-2,0,4]]; bsd[392,3] = 0 ; deg[392,3] = 3 ; dsc[392,3] = 1 ; E [392,3] = [x, [1,0,-1,0,-1]]; bsd[392,4] = 0 ; deg[392,4] = 3 ; dsc[392,4] = 1 ; E [392,4] = [x, [1,0,0,0,-2]]; bsd[392,5] = 1 ; deg[392,5] = 3*7 ; dsc[392,5] = 1 ; E [392,5] = [x, [1,0,1,0,1]]; bsd[392,6] = 1 ; deg[392,6] = 3*7 ; dsc[392,6] = 1 ; E [392,6] = [x, [1,0,3,0,-1]]; bsd[392,7] = 1 ; deg[392,7] = 7 ; dsc[392,7] = 2^3 ; E [392,7] = [x^2-2, [1,0,x,0,2*x]]; bsd[392,8] = 1 ; deg[392,8] = 7 ; dsc[392,8] = 2^5 ; E [392,8] = [x^2-8, [1,0,x,0,x]]; bsd[393,1] = 1 ; deg[393,1] = 23^2 ; dsc[393,1] = 2^3 ; E [393,1] = [x^2+2*x-1, [1,x,-1,-2*x-1,-2*x-2]]; bsd[393,2] = 0 ; deg[393,2] = 1931 ; dsc[393,2] = 5^2*29 ; E [393,2] = [x^4+3*x^3-4*x-1, [1,x,1,x^2-2,-x^3-3*x^2+1]]; bsd[393,3] = 0 ; deg[393,3] = 3 ; dsc[393,3] = 19*103 ; E [393,3] = [x^4+x^3-4*x^2-2*x+3, [1,x,-1,x^2-2,-x^3-x^2+2*x+1]]; bsd[393,4] = 1 ; deg[393,4] = 23^2*331 ; dsc[393,4] = 3^3*43*461 ; E [393,4] = [x^5-2*x^4-7*x^3+12*x^2+9*x-9, [3,3*x,-3,3*x^2-6,x^4-2*x^3-7*x^2+12*x+6]]; bsd[393,5] = 5/11 ; deg[393,5] = 5 ; dsc[393,5] = 2^3*11*137077 ; E [393,5] = [x^6-x^5-7*x^4+5*x^3+13*x^2-4*x-5, [1,x,1,x^2-2,-x^4+5*x^2-2]]; bsd[394,1] = 0 ; deg[394,1] = 31 ; dsc[394,1] = 5 ; E [394,1] = [x^2+5*x+5, [1,1,-1,1,x]]; bsd[394,2] = 5/3 ; deg[394,2] = 5^3 ; dsc[394,2] = 3*7 ; E [394,2] = [x^2+x-5, [1,1,x,1,0]]; bsd[394,3] = 5^2 ; deg[394,3] = 5^4 ; dsc[394,3] = 29 ; E [394,3] = [x^2-3*x-5, [1,1,0,1,x]]; bsd[394,4] = 5/11 ; deg[394,4] = 5^3 ; dsc[394,4] = 5 ; E [394,4] = [x^2-5, [2,2,2*x,2,-x+5]]; bsd[394,5] = 0 ; deg[394,5] = 109 ; dsc[394,5] = 5^2*89 ; E [394,5] = [x^4+3*x^3-2*x^2-7*x+1, [2,-2,2*x,2,x^3-6*x-1]]; bsd[394,6] = 1 ; deg[394,6] = 1087 ; dsc[394,6] = 17^3 ; E [394,6] = [x^4-2*x^3-7*x^2+8*x-1, [2,-2,-x^2+x+5,2,2*x]]; bsd[395,1] = 1/5 ; deg[395,1] = 17 ; dsc[395,1] = 1 ; E [395,1] = [x, [1,-2,-1,2,1]]; bsd[395,2] = 1 ; deg[395,2] = 3^2 ; dsc[395,2] = 1 ; E [395,2] = [x, [1,-1,0,-1,1]]; bsd[395,3] = 3 ; deg[395,3] = 3^2 ; dsc[395,3] = 1 ; E [395,3] = [x, [1,-1,2,-1,1]]; bsd[395,4] = 0 ; deg[395,4] = 97 ; dsc[395,4] = 7^2 ; E [395,4] = [x^3+2*x^2-x-1, [1,x,x^2+x-2,x^2-2,1]]; bsd[395,5] = 0 ; deg[395,5] = 3 ; dsc[395,5] = 3^4 ; E [395,5] = [x^3-3*x+1, [1,x,-x^2-x+2,x^2-2,-1]]; bsd[395,6] = 3 ; deg[395,6] = 3^5 ; dsc[395,6] = 2^2*3*47 ; E [395,6] = [x^3-x^2-5*x+3, [1,2,x,2,1]]; bsd[395,7] = 1 ; deg[395,7] = 3^3*17 ; dsc[395,7] = 10273 ; E [395,7] = [x^4-x^3-7*x^2+6*x-1, [1,x,2*x^3-x^2-15*x+6,x^2-2,1]]; bsd[395,8] = 1/3 ; deg[395,8] = 127*137 ; dsc[395,8] = 2^16*73*199*9433*1782959 ; E [395,8] = [x^11-21*x^9+x^8+159*x^7-18*x^6-511*x^5+105*x^4+604*x^3-208*x^2-128*x+48, [32,32*x,x^10+2*x^9-25*x^8-33*x^7+221*x^6+176*x^5-823*x^4-317*x^3+1138*x^2+100*x-280,32*x^2-64,-32]]; bsd[396,1] = 0 ; deg[396,1] = 3 ; dsc[396,1] = 1 ; E [396,1] = [x, [1,0,0,0,-2]]; bsd[396,2] = 3 ; deg[396,2] = 3*5 ; dsc[396,2] = 1 ; E [396,2] = [x, [1,0,0,0,-2]]; bsd[396,3] = 1 ; deg[396,3] = 3*5 ; dsc[396,3] = 1 ; E [396,3] = [x, [1,0,0,0,3]]; bsd[397,1] = 0 ; deg[397,1] = 31 ; dsc[397,1] = 2^3 ; E [397,1] = [x^2+2*x-1, [1,x,0,-2*x-1,-2]]; bsd[397,2] = 1 ; deg[397,2] = 23 ; dsc[397,2] = 2^3 ; E [397,2] = [x^2-2*x-1, [1,x,-x+3,2*x-1,x-1]]; bsd[397,3] = 1/11 ; deg[397,3] = 761 ; dsc[397,3] = 2^3*97*317 ; E [397,3] = [x^5-6*x^3+x^2+7*x-1, [1,x,x+1,x^2-2,-x^3+4*x-1]]; bsd[397,4] = 1/3 ; deg[397,4] = 23*761 ; dsc[397,4] = 302609750073209 ; E [397,4] = [x^10-7*x^9+8*x^8+43*x^7-105*x^6-26*x^5+234*x^4-119*x^3-82*x^2+47*x+3, [11,11*x,23*x^9-107*x^8-72*x^7+841*x^6-418*x^5-1753*x^4+1294*x^3+699*x^2-407*x-52,11*x^2-22,-57*x^9+280*x^8+122*x^7-2166*x^6+1485*x^5+4342*x^4-4161*x^3-1409*x^2+1375*x+60]]; bsd[397,5] = 0 ; deg[397,5] = 31 ; dsc[397,5] = 83566618884497478937 ; E [397,5] = [x^13+7*x^12+5*x^11-63*x^10-124*x^9+157*x^8+526*x^7+2*x^6-794*x^5-328*x^4+408*x^3+203*x^2-66*x-23, [1325,1325*x,-356*x^12-1860*x^11+1790*x^10+20873*x^9+7163*x^8-83228*x^7-54465*x^6+141118*x^5+90693*x^4-99828*x^3-42657*x^2+25211*x+3304,1325*x^2-2650,-905*x^12-5175*x^11+1625*x^10+52165*x^9+45115*x^8-177365*x^7-223075*x^6+226040*x^5+335240*x^4-85665*x^3-149660*x^2+10230*x+13595]]; bsd[398,1] = 1 ; deg[398,1] = 5*11 ; dsc[398,1] = 1 ; E [398,1] = [x, [1,-1,2,1,-2]]; bsd[398,2] = 0 ; deg[398,2] = 11 ; dsc[398,2] = 5 ; E [398,2] = [x^2+x-1, [1,-1,x,1,0]]; bsd[398,3] = 0 ; deg[398,3] = 3^2*11 ; dsc[398,3] = 5 ; E [398,3] = [x^2+3*x+1, [1,1,x,1,-2*x-4]]; bsd[398,4] = 1/3 ; deg[398,4] = 3^3*11*1487 ; dsc[398,4] = 2^4*661*7841 ; E [398,4] = [x^6-x^5-14*x^4+5*x^3+54*x^2+9*x-27, [9,-9,9*x,9,3*x^5-9*x^4-27*x^3+63*x^2+69*x-45]]; bsd[398,5] = 149/5^2 ; deg[398,5] = 149 ; dsc[398,5] = 2^4*367*8867 ; E [398,5] = [x^6-3*x^5-6*x^4+21*x^3+2*x^2-21*x-5, [1,1,x,1,x^5-x^4-7*x^3+5*x^2+7*x+3]]; bsd[399,1] = 0 ; deg[399,1] = 3 ; dsc[399,1] = 1 ; E [399,1] = [x, [1,-1,-1,-1,0]]; bsd[399,2] = 1 ; deg[399,2] = 3*7 ; dsc[399,2] = 1 ; E [399,2] = [x, [1,-1,1,-1,4]]; bsd[399,3] = 0 ; deg[399,3] = 3*5 ; dsc[399,3] = 1 ; E [399,3] = [x, [1,1,-1,-1,0]]; bsd[399,4] = 1 ; deg[399,4] = 13 ; dsc[399,4] = 2^2*37 ; E [399,4] = [x^3-x^2-3*x+1, [1,x,-1,x^2-2,x^2-1]]; bsd[399,5] = 29 ; deg[399,5] = 7*11*29 ; dsc[399,5] = 2^2*101 ; E [399,5] = [x^3-x^2-7*x+9, [1,x,1,x^2-2,-x^2+5]]; bsd[399,6] = 3^2 ; deg[399,6] = 3^4 ; dsc[399,6] = 2^6*19*4079 ; E [399,6] = [x^5-x^4-8*x^3+6*x^2+13*x-3, [1,x,1,x^2-2,-x^3+5*x]]; bsd[399,7] = 13 ; deg[399,7] = 13*29 ; dsc[399,7] = 2^6*23029 ; E [399,7] = [x^5-3*x^4-4*x^3+14*x^2-3*x-1, [1,x,-1,x^2-2,x^4-3*x^3-4*x^2+13*x-1]]; bsd[400,1] = 0 ; deg[400,1] = 3 ; dsc[400,1] = 1 ; E [400,1] = [x, [1,0,-3,0,0]]; bsd[400,2] = 1 ; deg[400,2] = 5 ; dsc[400,2] = 1 ; E [400,2] = [x, [1,0,-2,0,0]]; bsd[400,3] = 1 ; deg[400,3] = 3 ; dsc[400,3] = 1 ; E [400,3] = [x, [1,0,-2,0,0]]; bsd[400,4] = 0 ; deg[400,4] = 3 ; dsc[400,4] = 1 ; E [400,4] = [x, [1,0,-1,0,0]]; bsd[400,5] = 0 ; deg[400,5] = 3 ; dsc[400,5] = 1 ; E [400,5] = [x, [1,0,0,0,0]]; bsd[400,6] = 1 ; deg[400,6] = 3 ; dsc[400,6] = 1 ; E [400,6] = [x, [1,0,1,0,0]]; bsd[400,7] = 1 ; deg[400,7] = 1 ; dsc[400,7] = 1 ; E [400,7] = [x, [1,0,2,0,0]]; bsd[400,8] = 1 ; deg[400,8] = 3*5 ; dsc[400,8] = 1 ; E [400,8] = [x, [1,0,3,0,0]]; bsd[401,1] = 0 ; deg[401,1] = 1 ; dsc[401,1] = 293^2*811*1218675071 ; E [401,1] = [x^12+3*x^11-10*x^10-34*x^9+29*x^8+129*x^7-24*x^6-203*x^5+x^4+130*x^3-5*x^2-22*x+4, [2,2*x,-4*x^11-8*x^10+42*x^9+86*x^8-132*x^7-302*x^6+126*x^5+422*x^4+10*x^3-228*x^2-34*x+26,2*x^2-4,11*x^11+23*x^10-120*x^9-248*x^8+417*x^7+863*x^6-548*x^5-1151*x^4+231*x^3+530*x^2+25*x-46]]; bsd[401,2] = 1/5^2 ; deg[401,2] = 1 ; dsc[401,2] = 2^8*5^2*19*163*71742740351*388881803749*34393898968391 ; E [401,2] = [x^21-35*x^19+521*x^17+2*x^16-4305*x^15-51*x^14+21617*x^13+519*x^12-67876*x^11-2749*x^10+132085*x^9+8292*x^8-152221*x^7-14353*x^6+93934*x^5+12831*x^4-24699*x^3-4111*x^2+1058*x-44, [2056085485264,2056085485264*x,-18286877149*x^20-11127199047*x^19+671572664904*x^18+329074794244*x^17-10577086239965*x^16-4006759400165*x^15+93133967532384*x^14+26143714096043*x^13-500633401464048*x^12-100786701349185*x^11+1682873453689943*x^10+245328747827630*x^9-3480210083621745*x^8-413112998448921*x^7+4180416582284798*x^6+521232062879477*x^5-2588114268141401*x^4-432724747315370*x^3+634884906799859*x^2+141291794379294*x-13174803927996,2056085485264*x^2-4112170970528,-11558616560*x^20+77610706560*x^19+283666114112*x^18-2464706175388*x^17-2180532836116*x^16+32493081708008*x^15-655542769400*x^14-230516536198200*x^13+103391507300528*x^12+955484402213296*x^11-643750072751116*x^10-2359122820599800*x^9+1839908471122876*x^8+3413196282552900*x^7-2694039963675884*x^6-2782917599515820*x^5+1916660988176096*x^4+1210103936451908*x^3-545729026560984*x^2-225557627625912*x+19165879147664]]; bsd[402,1] = 0 ; deg[402,1] = 1 ; dsc[402,1] = 1 ; E [402,1] = [x, [1,-1,-1,1,1]]; bsd[402,2] = 0 ; deg[402,2] = 3^2 ; dsc[402,2] = 1 ; E [402,2] = [x, [1,-1,1,1,-3]]; bsd[402,3] = 1 ; deg[402,3] = 1 ; dsc[402,3] = 1 ; E [402,3] = [x, [1,-1,1,1,2]]; bsd[402,4] = 1 ; deg[402,4] = 3 ; dsc[402,4] = 1 ; E [402,4] = [x, [1,1,-1,1,2]]; bsd[402,5] = 1 ; deg[402,5] = 23*37 ; dsc[402,5] = 2^2*3 ; E [402,5] = [x^2-12, [2,-2,-2,2,2*x]]; bsd[402,6] = 5 ; deg[402,6] = 5*37 ; dsc[402,6] = 41 ; E [402,6] = [x^2-x-10, [1,1,-1,1,x]]; bsd[402,7] = 1 ; deg[402,7] = 11 ; dsc[402,7] = 2^2*79 ; E [402,7] = [x^3-3*x^2-4*x+4, [2,2,2,2,2*x]]; bsd[403,1] = 1 ; deg[403,1] = 181 ; dsc[403,1] = 5 ; E [403,1] = [x^2-3*x+1, [1,x,-2,3*x-3,2*x-3]]; bsd[403,2] = 0 ; deg[403,2] = 11 ; dsc[403,2] = 5748973 ; E [403,2] = [x^6+2*x^5-7*x^4-13*x^3+6*x^2+7*x-3, [1,x,-x^5-3*x^4+5*x^3+19*x^2+6*x-8,x^2-2,3*x^5+8*x^4-17*x^3-51*x^2-8*x+18]]; bsd[403,3] = 1/7 ; deg[403,3] = 41 ; dsc[403,3] = 5*29*10836421 ; E [403,3] = [x^7-2*x^6-9*x^5+17*x^4+20*x^3-37*x^2+x+4, [1,x,x^5-3*x^4-3*x^3+13*x^2-6*x,x^2-2,-x^5+2*x^4+5*x^3-9*x^2-2*x+4]]; bsd[403,4] = 0 ; deg[403,4] = 1 ; dsc[403,4] = 3*17569752307 ; E [403,4] = [x^8+5*x^7-30*x^5-24*x^4+54*x^3+54*x^2-28*x-29, [1,x,-x^7-3*x^6+6*x^5+19*x^4-12*x^3-36*x^2+8*x+19,x^2-2,-x^5-2*x^4+5*x^3+7*x^2-6*x-6]]; bsd[403,5] = 1 ; deg[403,5] = 181 ; dsc[403,5] = 241*1373*623681 ; E [403,5] = [x^8+x^7-11*x^6-10*x^5+37*x^4+33*x^3-36*x^2-33*x-4, [1,x,-x^5-x^4+7*x^3+5*x^2-10*x-4,x^2-2,-x^7+10*x^5-x^4-29*x^3+25*x+8]]; bsd[404,1] = 1/3 ; deg[404,1] = 17 ; dsc[404,1] = 1 ; E [404,1] = [x, [1,0,-2,0,3]]; bsd[404,2] = 0 ; deg[404,2] = 3 ; dsc[404,2] = 1 ; E [404,2] = [x, [1,0,0,0,-1]]; bsd[404,3] = 3^3 ; deg[404,3] = 3^7*17 ; dsc[404,3] = 2^6*3^3*457*43951 ; E [404,3] = [x^7-2*x^6-17*x^5+36*x^4+64*x^3-148*x^2+11*x+58, [1,0,x,0,8*x^6+8*x^5-113*x^4-52*x^3+368*x^2-72*x-154]]; bsd[405,1] = 0 ; deg[405,1] = 3 ; dsc[405,1] = 1 ; E [405,1] = [x, [1,-2,0,2,-1]]; bsd[405,2] = 0 ; deg[405,2] = 3^2 ; dsc[405,2] = 1 ; E [405,2] = [x, [1,-1,0,-1,1]]; bsd[405,3] = 0 ; deg[405,3] = 3 ; dsc[405,3] = 1 ; E [405,3] = [x, [1,0,0,-2,-1]]; bsd[405,4] = 1/3 ; deg[405,4] = 3 ; dsc[405,4] = 1 ; E [405,4] = [x, [1,0,0,-2,1]]; bsd[405,5] = 0 ; deg[405,5] = 3 ; dsc[405,5] = 1 ; E [405,5] = [x, [1,1,0,-1,-1]]; bsd[405,6] = 1 ; deg[405,6] = 3^2 ; dsc[405,6] = 1 ; E [405,6] = [x, [1,2,0,2,1]]; bsd[405,7] = 0 ; deg[405,7] = 3^3*11 ; dsc[405,7] = 2^2*3 ; E [405,7] = [x^2+2*x-2, [1,x,0,-2*x,1]]; bsd[405,8] = 1 ; deg[405,8] = 3^3*11 ; dsc[405,8] = 2^2*3 ; E [405,8] = [x^2-2*x-2, [1,x,0,2*x,-1]]; bsd[405,9] = 1/3 ; deg[405,9] = 3^4 ; dsc[405,9] = 2^2*3*47 ; E [405,9] = [x^3+x^2-5*x-3, [1,x,0,x^2-2,-1]]; bsd[405,10] = 1/3 ; deg[405,10] = 3^4 ; dsc[405,10] = 2^2*3*47 ; E [405,10] = [x^3-x^2-5*x+3, [1,x,0,x^2-2,1]]; bsd[406,1] = 0 ; deg[406,1] = 3*5 ; dsc[406,1] = 1 ; E [406,1] = [x, [1,-1,0,1,0]]; bsd[406,2] = 0 ; deg[406,2] = 3 ; dsc[406,2] = 1 ; E [406,2] = [x, [1,-1,1,1,-3]]; bsd[406,3] = 5 ; deg[406,3] = 5 ; dsc[406,3] = 1 ; E [406,3] = [x, [1,-1,2,1,2]]; bsd[406,4] = 0 ; deg[406,4] = 1 ; dsc[406,4] = 1 ; E [406,4] = [x, [1,1,-1,1,-3]]; bsd[406,5] = 13 ; deg[406,5] = 3*13 ; dsc[406,5] = 2^2*3 ; E [406,5] = [x^2-2*x-2, [1,1,2,1,x]]; bsd[406,6] = 1 ; deg[406,6] = 5^2 ; dsc[406,6] = 2^3*71 ; E [406,6] = [x^3-x^2-8*x+4, [2,-2,2*x,2,x^2-x-2]]; bsd[406,7] = 1 ; deg[406,7] = 7 ; dsc[406,7] = 2^4*2837 ; E [406,7] = [x^4-x^3-10*x^2+4*x+8, [4,4,4*x,4,x^3-3*x^2-8*x+12]]; bsd[407,1] = 0 ; deg[407,1] = 7 ; dsc[407,1] = 19*103 ; E [407,1] = [x^4+x^3-4*x^2+1, [1,x,x^3+x^2-4*x,x^2-2,-x^3-x^2+3*x]]; bsd[407,2] = 0 ; deg[407,2] = 3*7 ; dsc[407,2] = 19*103 ; E [407,2] = [x^4-x^3-4*x^2+2*x+3, [1,x,-x^3+x^2+2*x-2,x^2-2,x^3-x^2-3*x]]; bsd[407,3] = 1/3 ; deg[407,3] = 3*5 ; dsc[407,3] = 2^6*3^3*5*5249939*286752041 ; E [407,3] = [x^11-2*x^10-16*x^9+32*x^8+89*x^7-179*x^6-201*x^5+407*x^4+168*x^3-333*x^2-51*x+75, [59,59*x,10*x^10-x^9-156*x^8+831*x^6+78*x^5-1732*x^4-330*x^3+1171*x^2+305*x-196,59*x^2-118,-83*x^10+26*x^9+1342*x^8-354*x^7-7564*x^6+1630*x^5+17420*x^4-2512*x^3-14457*x^2+448*x+3090]]; bsd[407,4] = 17/19 ; deg[407,4] = 17*41 ; dsc[407,4] = 2^8*3^8*11*23251260729959 ; E [407,4] = [x^12-x^11-18*x^10+18*x^9+111*x^8-104*x^7-274*x^6+212*x^5+255*x^4-129*x^3-78*x^2+4*x+1, [249,249*x,-370*x^11+52*x^10+6619*x^9-934*x^8-40324*x^7+3261*x^6+94670*x^5+5092*x^4-67508*x^3-10735*x^2+3599*x-198,249*x^2-498,142*x^11+11*x^10-2512*x^9-188*x^8+15010*x^7+2112*x^6-33614*x^5-10396*x^4+19526*x^3+11563*x^2+2806*x-492]]; bsd[408,1] = 1 ; deg[408,1] = 3*5 ; dsc[408,1] = 1 ; E [408,1] = [x, [1,0,-1,0,3]]; bsd[408,2] = 0 ; deg[408,2] = 5 ; dsc[408,2] = 1 ; E [408,2] = [x, [1,0,1,0,-3]]; bsd[408,3] = 1 ; deg[408,3] = 1 ; dsc[408,3] = 1 ; E [408,3] = [x, [1,0,1,0,0]]; bsd[408,4] = 1 ; deg[408,4] = 1 ; dsc[408,4] = 1 ; E [408,4] = [x, [1,0,1,0,2]]; bsd[408,5] = 0 ; deg[408,5] = 1 ; dsc[408,5] = 17 ; E [408,5] = [x^2+x-4, [1,0,-1,0,x]]; bsd[408,6] = 3 ; deg[408,6] = 3 ; dsc[408,6] = 3*19 ; E [408,6] = [x^2+x-14, [1,0,1,0,x]]; bsd[409,1] = 0 ; deg[409,1] = 1 ; dsc[409,1] = 3^3*1667*14884451*18631199 ; E [409,1] = [x^13+6*x^12+2*x^11-47*x^10-64*x^9+117*x^8+226*x^7-94*x^6-278*x^5+9*x^4+134*x^3+15*x^2-22*x-4, [2,2*x,x^12+4*x^11-10*x^10-51*x^9+28*x^8+237*x^7+2*x^6-482*x^5-90*x^4+397*x^3+68*x^2-97*x-14,2*x^2-4,6*x^12+38*x^11+28*x^10-256*x^9-474*x^8+416*x^7+1392*x^6+204*x^5-1234*x^4-568*x^3+268*x^2+182*x+18]]; bsd[409,2] = 1/17 ; deg[409,2] = 1 ; dsc[409,2] = 2^6*17*1741*2341*537071*1334964067081334453235547 ; E [409,2] = [x^20-5*x^19-19*x^18+126*x^17+100*x^16-1283*x^15+247*x^14+6767*x^13-4554*x^12-19689*x^11+18771*x^10+31011*x^9-35515*x^8-23548*x^7+31466*x^6+5354*x^5-10552*x^4+1129*x^3+523*x^2-54*x-4, [325701783112,325701783112*x,11812328750*x^19-63096638684*x^18-215373165502*x^17+1597444230542*x^16+963041912526*x^15-16403787944064*x^14+4996875974310*x^13+87889886949412*x^12-63677701703656*x^11-263662135334682*x^10+245697889289408*x^9+442423956371606*x^8-444892572187184*x^7-388864831608768*x^6+373223863936896*x^5+143835668304216*x^4-112155750438332*x^3-4652447369642*x^2+3548691409488*x-352521223808,325701783112*x^2-651403566224,-5121572214*x^19+18153465318*x^18+120597791866*x^17-458758295362*x^16-1103708506020*x^15+4694022447154*x^14+4783694846104*x^13-24961450776400*x^12-8497952428330*x^11+73709427228846*x^10-4905578894040*x^9-119950803496510*x^8+43634043310246*x^7+100969563351864*x^6-65739948763678*x^5-39764792698316*x^4+39383915369886*x^3+8221074565878*x^2-7583998094308*x-271903185440]]; bsd[410,1] = 1/3 ; deg[410,1] = 1 ; dsc[410,1] = 1 ; E [410,1] = [x, [1,-1,-2,1,1]]; bsd[410,2] = 0 ; deg[410,2] = 3 ; dsc[410,2] = 1 ; E [410,2] = [x, [1,-1,0,1,1]]; bsd[410,3] = 0 ; deg[410,3] = 1 ; dsc[410,3] = 1 ; E [410,3] = [x, [1,1,-2,1,-1]]; bsd[410,4] = 3 ; deg[410,4] = 3^2 ; dsc[410,4] = 1 ; E [410,4] = [x, [1,1,0,1,1]]; bsd[410,5] = 0 ; deg[410,5] = 5 ; dsc[410,5] = 2^2*5 ; E [410,5] = [x^2+2*x-4, [1,-1,x,1,-1]]; bsd[410,6] = 1/3 ; deg[410,6] = 13 ; dsc[410,6] = 2^2*3 ; E [410,6] = [x^2-2*x-2, [1,-1,x,1,-1]]; bsd[410,7] = 1 ; deg[410,7] = 1 ; dsc[410,7] = 2^2*17 ; E [410,7] = [x^2-2*x-16, [1,-1,2,1,1]]; bsd[410,8] = 3 ; deg[410,8] = 3^2*5 ; dsc[410,8] = 2^3*3 ; E [410,8] = [x^2-6, [1,1,x,1,1]]; bsd[410,9] = 11/3 ; deg[410,9] = 7*11 ; dsc[410,9] = 2^4*101 ; E [410,9] = [x^3-8*x+4, [1,1,x,1,-1]]; bsd[411,1] = 0 ; deg[411,1] = 71 ; dsc[411,1] = 3^4 ; E [411,1] = [x^3+3*x^2-3, [1,x,1,x^2-2,-x^2-2*x-1]]; bsd[411,2] = 0 ; deg[411,2] = 29 ; dsc[411,2] = 7^2 ; E [411,2] = [x^3-x^2-2*x+1, [1,x,-1,x^2-2,-x^2+1]]; bsd[411,3] = 31 ; deg[411,3] = 31*47 ; dsc[411,3] = 13^2 ; E [411,3] = [x^3-2*x^2-3*x+5, [1,2,1,2,x]]; bsd[411,4] = 19/23 ; deg[411,4] = 19*47 ; dsc[411,4] = 2^2*181*487 ; E [411,4] = [x^5+x^4-7*x^3-10*x^2+1, [1,x,1,x^2-2,-x^4-x^3+7*x^2+9*x+1]]; bsd[411,5] = 1 ; deg[411,5] = 7753 ; dsc[411,5] = 2^2*5*11*331*9285238663 ; E [411,5] = [x^9-16*x^7+x^6+82*x^5-9*x^4-141*x^3+18*x^2+52*x+8, [16,16*x,-16,16*x^2-32,-2*x^8+32*x^6-10*x^5-172*x^4+90*x^3+330*x^2-164*x-96]]; bsd[412,1] = 0 ; deg[412,1] = 3^2*5 ; dsc[412,1] = 5 ; E [412,1] = [x^2+2*x-4, [2,0,2*x,0,-2*x-4]]; bsd[412,2] = 0 ; deg[412,2] = 3^2*5 ; dsc[412,2] = 3*7 ; E [412,2] = [x^2+x-5, [1,0,-1,0,x]]; bsd[412,3] = 1 ; deg[412,3] = 3^4 ; dsc[412,3] = 5^2*89 ; E [412,3] = [x^4-2*x^3-5*x^2+6*x+4, [2,0,2*x,0,x^3-3*x^2-2*x+8]]; bsd[413,1] = 1 ; deg[413,1] = 11*19 ; dsc[413,1] = 5 ; E [413,1] = [x^2-5, [2,2*x,x-1,6,2*x+2]]; bsd[413,2] = 1 ; deg[413,2] = 7*73 ; dsc[413,2] = 229 ; E [413,2] = [x^3-3*x^2-x+4, [1,-1,x,-1,2*x-2]]; bsd[413,3] = 0 ; deg[413,3] = 1 ; dsc[413,3] = 36497 ; E [413,3] = [x^5+2*x^4-3*x^3-5*x^2+x+1, [1,x,-x^3-x^2+3*x,x^2-2,x^4+2*x^3-3*x^2-5*x+1]]; bsd[413,4] = 0 ; deg[413,4] = 661 ; dsc[413,4] = 61*397 ; E [413,4] = [x^5-5*x^3-x^2+5*x+1, [1,x,x^3-x^2-3*x,x^2-2,-x^4+3*x^2+x-1]]; bsd[413,5] = 1 ; deg[413,5] = 11*73*227 ; dsc[413,5] = 19*31*877 ; E [413,5] = [x^5-4*x^4-3*x^3+29*x^2-35*x+11, [1,x,-x^3+x^2+7*x-6,x^2-2,x^4-2*x^3-7*x^2+15*x-5]]; bsd[413,6] = 1/3*5 ; deg[413,6] = 1 ; dsc[413,6] = 2^4*71*128345656267 ; E [413,6] = [x^9-13*x^7+x^6+54*x^5-7*x^4-75*x^3+9*x^2+17*x-3, [8,8*x,-3*x^8+x^7+40*x^6-11*x^5-169*x^4+28*x^3+229*x^2+6*x-25,8*x^2-16,-2*x^8-2*x^7+24*x^6+22*x^5-94*x^4-72*x^3+134*x^2+68*x-30]]; bsd[414,1] = 0 ; deg[414,1] = 1 ; dsc[414,1] = 1 ; E [414,1] = [x, [1,-1,0,1,-2]]; bsd[414,2] = 0 ; deg[414,2] = 5 ; dsc[414,2] = 1 ; E [414,2] = [x, [1,1,0,1,-4]]; bsd[414,3] = 1 ; deg[414,3] = 1 ; dsc[414,3] = 1 ; E [414,3] = [x, [1,1,0,1,0]]; bsd[414,4] = 1 ; deg[414,4] = 1 ; dsc[414,4] = 1 ; E [414,4] = [x, [1,1,0,1,2]]; bsd[414,5] = 1/3 ; deg[414,5] = 3*7 ; dsc[414,5] = 2^2*7 ; E [414,5] = [x^2+2*x-6, [1,-1,0,1,x]]; bsd[414,6] = 1 ; deg[414,6] = 11 ; dsc[414,6] = 2^2*5 ; E [414,6] = [x^2-2*x-4, [1,-1,0,1,x]]; bsd[414,7] = 7/3 ; deg[414,7] = 7 ; dsc[414,7] = 2^2*7 ; E [414,7] = [x^2-2*x-6, [1,1,0,1,x]]; bsd[415,1] = 1 ; deg[415,1] = 7 ; dsc[415,1] = 1 ; E [415,1] = [x, [1,1,3,-1,1]]; bsd[415,2] = 0 ; deg[415,2] = 11 ; dsc[415,2] = 5 ; E [415,2] = [x^2+x-1, [1,x,-x-1,-x-1,1]]; bsd[415,3] = 1 ; deg[415,3] = 1069 ; dsc[415,3] = 7783241 ; E [415,3] = [x^6-2*x^5-5*x^4+9*x^3+5*x^2-6*x-1, [1,x,-x^4+x^3+5*x^2-3*x-3,x^2-2,-1]]; bsd[415,4] = 0 ; deg[415,4] = 1 ; dsc[415,4] = 2^2*67*307*8737 ; E [415,4] = [x^7+3*x^6-6*x^5-19*x^4+9*x^3+28*x^2-4*x-8, [4,4*x,-x^6-x^5+8*x^4+3*x^3-19*x^2+2*x+8,4*x^2-8,-4]]; bsd[415,5] = 1/7 ; deg[415,5] = 7 ; dsc[415,5] = 20443*2858840461328963 ; E [415,5] = [x^11-20*x^9-x^8+146*x^7+15*x^6-464*x^5-76*x^4+567*x^3+136*x^2-100*x-8, [4,4*x,-4*x^10-7*x^9+65*x^8+119*x^7-332*x^6-656*x^5+483*x^4+1195*x^3+213*x^2-186*x-24,4*x^2-8,4]]; bsd[416,1] = 0 ; deg[416,1] = 1 ; dsc[416,1] = 1 ; E [416,1] = [x, [1,0,-1,0,1]]; bsd[416,2] = 1 ; deg[416,2] = 1 ; dsc[416,2] = 1 ; E [416,2] = [x, [1,0,1,0,1]]; bsd[416,3] = 0 ; deg[416,3] = 1 ; dsc[416,3] = 17 ; E [416,3] = [x^2+x-4, [1,0,x,0,-x-2]]; bsd[416,4] = 1 ; deg[416,4] = 5 ; dsc[416,4] = 2^2*5 ; E [416,4] = [x^2-5, [1,0,x,0,3]]; bsd[416,5] = 1 ; deg[416,5] = 1 ; dsc[416,5] = 17 ; E [416,5] = [x^2-x-4, [1,0,x,0,x-2]]; bsd[416,6] = 1 ; deg[416,6] = 1 ; dsc[416,6] = 2^7*41^2 ; E [416,6] = [x^4-13*x^2+32, [2,0,2*x,0,-2*x^2+12]]; bsd[417,1] = 1 ; deg[417,1] = 3^2 ; dsc[417,1] = 1 ; E [417,1] = [x, [1,1,-1,-1,2]]; bsd[417,2] = 0 ; deg[417,2] = 19 ; dsc[417,2] = 5 ; E [417,2] = [x^2+x-1, [1,x,1,-x-1,-1]]; bsd[417,3] = 1 ; deg[417,3] = 37 ; dsc[417,3] = 229 ; E [417,3] = [x^3-2*x^2-4*x+7, [1,x^2-4,-1,x,-x^2+x+4]]; bsd[417,4] = 13/7 ; deg[417,4] = 13*173 ; dsc[417,4] = 229 ; E [417,4] = [x^3-2*x^2-4*x+7, [1,x^2-4,1,x,-x^2-x+6]]; bsd[417,5] = 0 ; deg[417,5] = 29 ; dsc[417,5] = 2^2*383*510553 ; E [417,5] = [x^7+3*x^6-6*x^5-19*x^4+9*x^3+30*x^2-8, [4,4*x,-4,4*x^2-8,2*x^6+4*x^5-14*x^4-22*x^3+24*x^2+22*x-4]]; bsd[417,6] = 7/5 ; deg[417,6] = 7*173 ; dsc[417,6] = 2^7*7*20062073 ; E [417,6] = [x^7-14*x^5+2*x^4+57*x^3-14*x^2-56*x+8, [4,4*x,4,4*x^2-8,-2*x^3+14*x-4]]; bsd[418,1] = 0 ; deg[418,1] = 13 ; dsc[418,1] = 1 ; E [418,1] = [x, [1,1,-1,1,-2]]; bsd[418,2] = 1 ; deg[418,2] = 5 ; dsc[418,2] = 1 ; E [418,2] = [x, [1,1,0,1,2]]; bsd[418,3] = 1 ; deg[418,3] = 7 ; dsc[418,3] = 1 ; E [418,3] = [x, [1,1,3,1,-2]]; bsd[418,4] = 0 ; deg[418,4] = 3^2 ; dsc[418,4] = 13 ; E [418,4] = [x^2+3*x-1, [1,-1,x,1,-x-2]]; bsd[418,5] = 1 ; deg[418,5] = 43 ; dsc[418,5] = 17 ; E [418,5] = [x^2-x-4, [1,-1,x,1,2]]; bsd[418,6] = 3 ; deg[418,6] = 3^2*5^2*7 ; dsc[418,6] = 3*7 ; E [418,6] = [x^2+x-5, [1,1,x,1,x+2]]; bsd[418,7] = 0 ; deg[418,7] = 7 ; dsc[418,7] = 3^3*23 ; E [418,7] = [x^3-6*x-3, [1,-1,x,1,-x^2+3]]; bsd[418,8] = 7 ; deg[418,8] = 7^2 ; dsc[418,8] = 7*67 ; E [418,8] = [x^3-x^2-5*x+4, [1,1,x,1,-x+2]]; bsd[419,1] = 0 ; deg[419,1] = 1 ; dsc[419,1] = 167*971*493657 ; E [419,1] = [x^9+2*x^8-7*x^7-13*x^6+15*x^5+25*x^4-9*x^3-15*x^2-x+1, [1,x,x^8+x^7-8*x^6-5*x^5+21*x^4+5*x^3-19*x^2+3,x^2-2,x^8+2*x^7-7*x^6-13*x^5+15*x^4+24*x^3-10*x^2-12*x]]; bsd[419,2] = 1/11*19 ; deg[419,2] = 1 ; dsc[419,2] = 2^9*17*43*113*151*20375986548898473293*53097073649092855361102575237 ; E [419,2] = [x^26-2*x^25-43*x^24+85*x^23+807*x^22-1571*x^21-8689*x^20+16575*x^19+59362*x^18-110217*x^17-268789*x^16+481513*x^15+817911*x^14-1398615*x^13-1658267*x^12+2674771*x^11+2166607*x^10-3262315*x^9-1701132*x^8+2384864*x^7+697992*x^6-932912*x^5-104448*x^4+158080*x^3-4736*x^2-6656*x+512, [618506107859120384,618506107859120384*x,11600552657805477*x^25-2891839316330590*x^24-489898657622267755*x^23+107914954606597717*x^22+8985089110311196755*x^21-1677761853489598063*x^20-93908850339439447893*x^19+13918818822044869947*x^18+617042949329544908962*x^17-64913077960712591713*x^16-2653463884228242370997*x^15+158054791007502082829*x^14+7542124894930787266803*x^13-114826826055616751971*x^12-13997662661670064334423*x^11-303774076907980503369*x^10+16402726266989189697963*x^9+721388016885671188593*x^8-11432624304846526332780*x^7-525686749144280326660*x^6+4272834868233016475744*x^5+99655118161125418016*x^4-701435265347009788032*x^3+22235921273339580352*x^2+29490143079012905216*x-2407322228952341760,618506107859120384*x^2-1237012215718240768,-15339110851698681*x^25+6639531907836972*x^24+647804819296844439*x^23-261094882733415019*x^22-11883707853507702469*x^21+4379051822405265577*x^20+124269331201630752739*x^19-40851748330058436361*x^18-817414218000152567460*x^17+232298733292163357085*x^16+3522271328534996747539*x^15-833773198676597351211*x^14-10047619638821988328637*x^13+1911697358637588946733*x^12+18759839398286226300949*x^11-2833518240599129473281*x^10-22190495513779505976209*x^9+2802903817103605614913*x^8+15677495473237869454006*x^7-1900167214487228029696*x^6-5965979606213229963592*x^5+817510334469492688304*x^4+1004933506667967447328*x^3-167822538010875269056*x^2-45942578295517062784*x+5926487262909015296]]; bsd[420,1] = 3 ; deg[420,1] = 3*5*7 ; dsc[420,1] = 1 ; E [420,1] = [x, [1,0,-1,0,-1]]; bsd[420,2] = 1 ; deg[420,2] = 3*5 ; dsc[420,2] = 1 ; E [420,2] = [x, [1,0,-1,0,1]]; bsd[420,3] = 1 ; deg[420,3] = 3^2 ; dsc[420,3] = 1 ; E [420,3] = [x, [1,0,1,0,-1]]; bsd[420,4] = 1 ; deg[420,4] = 3 ; dsc[420,4] = 1 ; E [420,4] = [x, [1,0,1,0,1]]; bsd[421,1] = 0 ; deg[421,1] = 1 ; dsc[421,1] = 3*857459*144211946777593109 ; E [421,1] = [x^15+6*x^14-2*x^13-71*x^12-74*x^11+296*x^10+488*x^9-494*x^8-1157*x^7+205*x^6+1137*x^5+203*x^4-374*x^3-127*x^2+3*x+3, [24617,24617*x,-25193*x^14-139169*x^13+111469*x^12+1714563*x^11+1101947*x^10-7699217*x^9-8792218*x^8+15213141*x^7+21912927*x^6-12318890*x^5-22124776*x^4+1991679*x^3+7618866*x^2+844015*x-229186,24617*x^2-49234,22400*x^14+122208*x^13-106252*x^12-1516251*x^11-900656*x^10+6884713*x^9+7511320*x^8-13885777*x^7-18990607*x^6+11807197*x^5+19349004*x^4-2528241*x^3-6727668*x^2-555389*x+212047]]; bsd[421,2] = 1/5*7 ; deg[421,2] = 1 ; dsc[421,2] = 2^4*31*557*4729*825403*2328579379136648917067 ; E [421,2] = [x^19-4*x^18-20*x^17+93*x^16+145*x^15-874*x^14-402*x^13+4263*x^12-159*x^11-11551*x^10+3133*x^9+17375*x^8-5935*x^7-14018*x^6+4016*x^5+5896*x^4-1088*x^3-1185*x^2+101*x+89, [18235058,18235058*x,2861102*x^18-4909510*x^17-77100930*x^16+123043292*x^15+866376364*x^14-1268952028*x^13-5250245152*x^12+6943683190*x^11+18512299508*x^10-21631533850*x^9-38164461826*x^8+38069710030*x^7+43922664732*x^6-34928343146*x^5-25767235658*x^4+13753078464*x^3+7205220666*x^2-1747943046*x-730080762,18235058*x^2-36470116,1756218*x^18-3976489*x^17-42864974*x^16+93225979*x^15+430254627*x^14-886208792*x^13-2297447469*x^12+4392300162*x^11+7059201980*x^10-12170815053*x^9-12628043807*x^8+18853961126*x^7+12727252072*x^6-15616138215*x^5-6676576296*x^4+6319228471*x^3+1617841080*x^2-881163033*x-131854079]]; bsd[422,1] = 0 ; deg[422,1] = 3 ; dsc[422,1] = 1 ; E [422,1] = [x, [1,-1,0,1,1]]; bsd[422,2] = 1 ; deg[422,2] = 11*19*29 ; dsc[422,2] = 5 ; E [422,2] = [x^2-3*x+1, [1,-1,x,1,-2*x+4]]; bsd[422,3] = 0 ; deg[422,3] = 3*7^2 ; dsc[422,3] = 257 ; E [422,3] = [x^3+x^2-8*x-3, [3,-3,3*x,3,-x^2-2*x]]; bsd[422,4] = 1/3 ; deg[422,4] = 23*29 ; dsc[422,4] = 5*157 ; E [422,4] = [x^3+x^2-6*x-5, [1,-1,x,1,x^2-4]]; bsd[422,5] = 0 ; deg[422,5] = 223 ; dsc[422,5] = 7^2 ; E [422,5] = [x^3+5*x^2+6*x+1, [1,1,x,1,x^2+2*x-2]]; bsd[422,6] = 41/53 ; deg[422,6] = 41 ; dsc[422,6] = 43983893 ; E [422,6] = [x^6-4*x^5-4*x^4+28*x^3-15*x^2-33*x+28, [1,1,x,1,-4*x^5+10*x^4+31*x^3-66*x^2-38*x+77]]; bsd[423,1] = 0 ; deg[423,1] = 1 ; dsc[423,1] = 1 ; E [423,1] = [x, [1,-2,0,2,-3]]; bsd[423,2] = 0 ; deg[423,2] = 3 ; dsc[423,2] = 1 ; E [423,2] = [x, [1,-2,0,2,1]]; bsd[423,3] = 0 ; deg[423,3] = 1 ; dsc[423,3] = 1 ; E [423,3] = [x, [1,0,0,-2,1]]; bsd[423,4] = 0 ; deg[423,4] = 3 ; dsc[423,4] = 1 ; E [423,4] = [x, [1,1,0,-1,-2]]; bsd[423,5] = 1 ; deg[423,5] = 3 ; dsc[423,5] = 1 ; E [423,5] = [x, [1,1,0,-1,0]]; bsd[423,6] = 1 ; deg[423,6] = 7 ; dsc[423,6] = 1 ; E [423,6] = [x, [1,2,0,2,3]]; bsd[423,7] = 1 ; deg[423,7] = 3 ; dsc[423,7] = 1 ; E [423,7] = [x, [1,2,0,2,3]]; bsd[423,8] = 1 ; deg[423,8] = 43 ; dsc[423,8] = 17 ; E [423,8] = [x^2-x-4, [1,x,0,x+2,x-1]]; bsd[423,9] = 0 ; deg[423,9] = 1 ; dsc[423,9] = 2^2*79 ; E [423,9] = [x^3+2*x^2-3*x-2, [1,x,0,x^2-2,-x-1]]; bsd[423,10] = 1 ; deg[423,10] = 3^3 ; dsc[423,10] = 2^2*79 ; E [423,10] = [x^3-2*x^2-3*x+2, [1,x,0,x^2-2,-x+1]]; bsd[423,11] = 1 ; deg[423,11] = 3*7*43 ; dsc[423,11] = 19*103 ; E [423,11] = [x^4+x^3-5*x^2-5*x-1, [1,x,0,x^2-2,-4*x^3-2*x^2+20*x+10]]; bsd[424,1] = 0 ; deg[424,1] = 1 ; dsc[424,1] = 2^3 ; E [424,1] = [x^2+2*x-1, [1,0,x,0,-2]]; bsd[424,2] = 0 ; deg[424,2] = 1 ; dsc[424,2] = 2^2*37 ; E [424,2] = [x^3+x^2-3*x-1, [1,0,x,0,-x^2-2*x+1]]; bsd[424,3] = 1 ; deg[424,3] = 1 ; dsc[424,3] = 2^2*79 ; E [424,3] = [x^3-2*x^2-3*x+2, [1,0,x,0,-x^2+2*x+3]]; bsd[424,4] = 1 ; deg[424,4] = 1 ; dsc[424,4] = 2^2*11*98207 ; E [424,4] = [x^5-x^4-13*x^3+9*x^2+42*x-16, [2,0,2*x,0,x^4-x^3-7*x^2+5*x+4]]; bsd[425,1] = 0 ; deg[425,1] = 3 ; dsc[425,1] = 1 ; E [425,1] = [x, [1,-1,-2,-1,0]]; bsd[425,2] = 0 ; deg[425,2] = 3 ; dsc[425,2] = 1 ; E [425,2] = [x, [1,-1,1,-1,0]]; bsd[425,3] = 0 ; deg[425,3] = 3*5 ; dsc[425,3] = 1 ; E [425,3] = [x, [1,1,-1,-1,0]]; bsd[425,4] = 0 ; deg[425,4] = 1 ; dsc[425,4] = 1 ; E [425,4] = [x, [1,1,0,-1,0]]; bsd[425,5] = 1 ; deg[425,5] = 3^2 ; dsc[425,5] = 2^2*3 ; E [425,5] = [x^2-3, [1,x,-x-1,1,0]]; bsd[425,6] = 1 ; deg[425,6] = 3^2 ; dsc[425,6] = 2^3 ; E [425,6] = [x^2-2*x-1, [1,x,-x+3,2*x-1,0]]; bsd[425,7] = 0 ; deg[425,7] = 5 ; dsc[425,7] = 2^4*389 ; E [425,7] = [x^4+2*x^3-4*x^2-8*x-1, [1,x,-x^3-x^2+4*x+2,x^2-2,0]]; bsd[425,8] = 1 ; deg[425,8] = 5^3 ; dsc[425,8] = 2^4*389 ; E [425,8] = [x^4-2*x^3-4*x^2+8*x-1, [1,x,-x^3+x^2+4*x-2,x^2-2,0]]; bsd[425,9] = 1/5 ; deg[425,9] = 3^4*5 ; dsc[425,9] = 2^4*3^5*487 ; E [425,9] = [x^5+x^4-10*x^3-6*x^2+21*x-3, [2,2*x,-x^3+x^2+7*x-5,2*x^2-4,0]]; bsd[425,10] = 3 ; deg[425,10] = 3^4*5^3 ; dsc[425,10] = 2^4*3^5*487 ; E [425,10] = [x^5-x^4-10*x^3+6*x^2+21*x+3, [2,2*x,-x^3-x^2+7*x+5,2*x^2-4,0]]; bsd[426,1] = 0 ; deg[426,1] = 3*5 ; dsc[426,1] = 1 ; E [426,1] = [x, [1,-1,-1,1,-2]]; bsd[426,2] = 5/3 ; deg[426,2] = 3^2*5 ; dsc[426,2] = 1 ; E [426,2] = [x, [1,-1,1,1,3]]; bsd[426,3] = 1 ; deg[426,3] = 5 ; dsc[426,3] = 1 ; E [426,3] = [x, [1,1,1,1,1]]; bsd[426,4] = 1 ; deg[426,4] = 7*31 ; dsc[426,4] = 2^3 ; E [426,4] = [x^2-2*x-7, [2,-2,-2,2,2*x]]; bsd[426,5] = 1 ; deg[426,5] = 1 ; dsc[426,5] = 17 ; E [426,5] = [x^2+3*x-2, [1,-1,1,1,x]]; bsd[426,6] = 11 ; deg[426,6] = 5*11 ; dsc[426,6] = 2^3*71 ; E [426,6] = [x^3-4*x^2-3*x+10, [2,2,-2,2,2*x]]; bsd[426,7] = 7*19 ; deg[426,7] = 7^2*19 ; dsc[426,7] = 2^2*7*67 ; E [426,7] = [x^3-x^2-12*x+4, [2,2,2,2,2*x]]; bsd[427,1] = 0 ; deg[427,1] = 3^2 ; dsc[427,1] = 1 ; E [427,1] = [x, [1,-1,1,-1,0]]; bsd[427,2] = 1 ; deg[427,2] = 11 ; dsc[427,2] = 1 ; E [427,2] = [x, [1,0,2,-2,4]]; bsd[427,3] = 0 ; deg[427,3] = 7 ; dsc[427,3] = 1 ; E [427,3] = [x, [1,1,1,-1,-4]]; bsd[427,4] = 0 ; deg[427,4] = 7*139 ; dsc[427,4] = 3^3*175327 ; E [427,4] = [x^6+5*x^5+2*x^4-22*x^3-30*x^2+9, [3,3*x,-x^5-5*x^4+x^3+25*x^2+12*x-15,3*x^2-6,3*x^5+9*x^4-12*x^3-45*x^2-6*x+18]]; bsd[427,5] = 0 ; deg[427,5] = 3^2 ; dsc[427,5] = 5*163*9491 ; E [427,5] = [x^6+5*x^5+2*x^4-18*x^3-12*x^2+18*x+5, [1,x,x^5+3*x^4-3*x^3-9*x^2+4*x+3,x^2-2,-x^5-3*x^4+2*x^3+7*x^2-2*x-2]]; bsd[427,6] = 7/31 ; deg[427,6] = 7*11 ; dsc[427,6] = 761860861 ; E [427,6] = [x^7-4*x^6-3*x^5+26*x^4-12*x^3-38*x^2+23*x+11, [1,x,-2*x^6+5*x^5+13*x^4-31*x^3-21*x^2+38*x+13,x^2-2,x^6-2*x^5-7*x^4+12*x^3+13*x^2-14*x-7]]; bsd[427,7] = 1 ; deg[427,7] = 313 ; dsc[427,7] = 3*5^4*64663382527 ; E [427,7] = [x^9-5*x^8-3*x^7+45*x^6-32*x^5-108*x^4+123*x^3+30*x^2-43*x+4, [16,16*x,-5*x^8+18*x^7+37*x^6-170*x^5-30*x^4+434*x^3-161*x^2-161*x+28,16*x^2-32,2*x^8-4*x^7-18*x^6+20*x^5+60*x^4+12*x^3-86*x^2-86*x+40]]; bsd[428,1] = 0 ; deg[428,1] = 3^2 ; dsc[428,1] = 1 ; E [428,1] = [x, [1,0,-1,0,2]]; bsd[428,2] = 3 ; deg[428,2] = 3^3 ; dsc[428,2] = 1 ; E [428,2] = [x, [1,0,1,0,2]]; bsd[428,3] = 0 ; deg[428,3] = 3^3 ; dsc[428,3] = 13 ; E [428,3] = [x^2+3*x-1, [1,0,x,0,-x-2]]; bsd[428,4] = 1 ; deg[428,4] = 3^6 ; dsc[428,4] = 3^3*5*12979 ; E [428,4] = [x^5-5*x^4-2*x^3+32*x^2-10*x-43, [3,0,3*x,0,-2*x^4+5*x^3+12*x^2-19*x-17]]; bsd[429,1] = 0 ; deg[429,1] = 1 ; dsc[429,1] = 1 ; E [429,1] = [x, [1,-1,-1,-1,0]]; bsd[429,2] = 0 ; deg[429,2] = 1 ; dsc[429,2] = 1 ; E [429,2] = [x, [1,-1,1,-1,-2]]; bsd[429,3] = 0 ; deg[429,3] = 7*23 ; dsc[429,3] = 2^3 ; E [429,3] = [x^2+2*x-1, [1,x,1,-2*x-1,x-1]]; bsd[429,4] = 0 ; deg[429,4] = 3 ; dsc[429,4] = 2^2*3 ; E [429,4] = [x^2-3, [1,x,-1,1,-x-1]]; bsd[429,5] = 1 ; deg[429,5] = 3^2*43 ; dsc[429,5] = 2^2*3*47 ; E [429,5] = [x^3+x^2-5*x-3, [1,x,-1,x^2-2,x^2+x-4]]; bsd[429,6] = 1 ; deg[429,6] = 5 ; dsc[429,6] = 2^2*37 ; E [429,6] = [x^3-x^2-3*x+1, [1,x,1,x^2-2,-x^2+x+2]]; bsd[429,7] = 5 ; deg[429,7] = 5^3 ; dsc[429,7] = 2^2*37 ; E [429,7] = [x^3-3*x^2-x+5, [1,x,1,x^2-2,-x^2+x+4]]; bsd[429,8] = 1 ; deg[429,8] = 379 ; dsc[429,8] = 2^4*29*73 ; E [429,8] = [x^4+2*x^3-6*x^2-12*x-1, [1,x,-1,x^2-2,x^3-6*x-1]]; bsd[430,1] = 0 ; deg[430,1] = 3 ; dsc[430,1] = 1 ; E [430,1] = [x, [1,-1,0,1,-1]]; bsd[430,2] = 0 ; deg[430,2] = 5 ; dsc[430,2] = 1 ; E [430,2] = [x, [1,-1,0,1,1]]; bsd[430,3] = 0 ; deg[430,3] = 3^2 ; dsc[430,3] = 1 ; E [430,3] = [x, [1,1,-2,1,-1]]; bsd[430,4] = 0 ; deg[430,4] = 3*5^2 ; dsc[430,4] = 1 ; E [430,4] = [x, [1,1,-2,1,1]]; bsd[430,5] = 1 ; deg[430,5] = 3*59 ; dsc[430,5] = 2^2*3 ; E [430,5] = [x^2-2*x-2, [1,-1,x,1,1]]; bsd[430,6] = 3 ; deg[430,6] = 3*19 ; dsc[430,6] = 2^3*3 ; E [430,6] = [x^2-6, [1,1,x,1,-1]]; bsd[430,7] = 1 ; deg[430,7] = 7 ; dsc[430,7] = 2^3 ; E [430,7] = [x^2-2, [1,1,x,1,1]]; bsd[430,8] = 1 ; deg[430,8] = 17*223 ; dsc[430,8] = 2^2*79 ; E [430,8] = [x^3+2*x^2-6*x-8, [2,-2,2*x,2,-2]]; bsd[431,1] = 0 ; deg[431,1] = 5 ; dsc[431,1] = 1 ; E [431,1] = [x, [1,-1,1,-1,1]]; bsd[431,2] = 1 ; deg[431,2] = 5 ; dsc[431,2] = 1 ; E [431,2] = [x, [1,-1,3,-1,-3]]; bsd[431,3] = 1 ; deg[431,3] = 5*6947 ; dsc[431,3] = 11*43 ; E [431,3] = [x^3-5*x+1, [1,x,x^2-3,x^2-2,x^2+x-3]]; bsd[431,4] = 0 ; deg[431,4] = 5*19 ; dsc[431,4] = 257 ; E [431,4] = [x^3-x^2-4*x+3, [1,x,-x,x^2-2,-x^2+2]]; bsd[431,5] = 0 ; deg[431,5] = 19 ; dsc[431,5] = 5^2*29 ; E [431,5] = [x^4+x^3-3*x^2-x+1, [1,x,-x^3-x^2+3*x,x^2-2,x^3+x^2-3*x-2]]; bsd[431,6] = 1/5*43 ; deg[431,6] = 6947 ; dsc[431,6] = 2^13*31*197*37619*29252013842927*806505757406715084824003 ; E [431,6] = [x^24-x^23-40*x^22+40*x^21+692*x^20-687*x^19-6790*x^18+6631*x^17+41657*x^16-39533*x^15-166175*x^14+150668*x^13+434546*x^12-367120*x^11-733353*x^10+555013*x^9+766426*x^8-486022*x^7-458392*x^6+216189*x^5+133642*x^4-39443*x^3-11021*x^2+2767*x+13, [3739222839496792400,3739222839496792400*x,7935096512256799*x^23+810620141708163*x^22-347056827413606066*x^21-23895258075624573*x^20+6643058587402330834*x^19+252660572416622679*x^18-73061583647644979333*x^17-758983487655886210*x^16+509534382412117002413*x^15-6650597706161081198*x^14-2345291193955692024574*x^13+72258602694291551120*x^12+7184575795215946444514*x^11-293971286954165816598*x^10-14402977230229462788321*x^9+590485552799907048989*x^8+18032974552918244244406*x^7-515734288981752615025*x^6-12801662575745517106358*x^5+27385716846365639607*x^4+4165925951152361601299*x^3+138803431432890603680*x^2-321943156993297734389*x+10917761056369362926,3739222839496792400*x^2-7478445678993584800,-6003837216916642*x^23-25519417413591614*x^22+287562107923492403*x^21+1002408111908591174*x^20-6011501607761727132*x^19-16932298038253081847*x^18+71928844431916175609*x^17+160827436846257916510*x^16-543060246362583052439*x^15-942558898465922137941*x^14+2689980717810505381012*x^13+3517749072355698182560*x^12-8804726807274501644302*x^11-8320124430544179870646*x^10+18689228698024334454698*x^9+11998378247655425125968*x^8-24465019598760262751343*x^7-9709914382292721658750*x^6+17796031658323038626364*x^5+3820952747901107923889*x^4-5722288875361777878787*x^3-651551490728019157710*x^2+432741984388948972677*x+13141980820492227997]]; bsd[432,1] = 1 ; deg[432,1] = 3 ; dsc[432,1] = 1 ; E [432,1] = [x, [1,0,0,0,-4]]; bsd[432,2] = 0 ; deg[432,2] = 3 ; dsc[432,2] = 1 ; E [432,2] = [x, [1,0,0,0,-3]]; bsd[432,3] = 0 ; deg[432,3] = 3 ; dsc[432,3] = 1 ; E [432,3] = [x, [1,0,0,0,-1]]; bsd[432,4] = 0 ; deg[432,4] = 3 ; dsc[432,4] = 1 ; E [432,4] = [x, [1,0,0,0,0]]; bsd[432,5] = 1 ; deg[432,5] = 3 ; dsc[432,5] = 1 ; E [432,5] = [x, [1,0,0,0,0]]; bsd[432,6] = 1 ; deg[432,6] = 3^2 ; dsc[432,6] = 1 ; E [432,6] = [x, [1,0,0,0,1]]; bsd[432,7] = 1 ; deg[432,7] = 3 ; dsc[432,7] = 1 ; E [432,7] = [x, [1,0,0,0,3]]; bsd[432,8] = 1 ; deg[432,8] = 3^2 ; dsc[432,8] = 1 ; E [432,8] = [x, [1,0,0,0,4]]; bsd[433,1] = 0 ; deg[433,1] = 7 ; dsc[433,1] = 1 ; E [433,1] = [x, [1,-1,-2,-1,-4]]; bsd[433,2] = 1 ; deg[433,2] = 3*37 ; dsc[433,2] = 2^2*101 ; E [433,2] = [x^3-8*x+4, [2,2,2*x,-2,2*x]]; bsd[433,3] = 0 ; deg[433,3] = 1 ; dsc[433,3] = 2^8*3^2*379*3613*2792477*77087971 ; E [433,3] = [x^15+10*x^14+29*x^13-22*x^12-251*x^11-272*x^10+583*x^9+1252*x^8-186*x^7-1821*x^6-675*x^5+899*x^4+482*x^3-93*x^2-27*x-1, [4,4*x,14*x^14+120*x^13+236*x^12-632*x^11-2582*x^10-184*x^9+8120*x^8+5872*x^7-10040*x^6-10414*x^5+4226*x^4+5312*x^3-274*x^2-306*x-24,4*x^2-8,-22*x^14-190*x^13-380*x^12+992*x^11+4146*x^10+378*x^9-13104*x^8-9612*x^7+16484*x^6+16966*x^5-7456*x^4-8630*x^3+858*x^2+424*x+26]]; bsd[433,4] = 7^2/3^2 ; deg[433,4] = 3*7*37 ; dsc[433,4] = 2^4*3^3*1439*18719*5830108671536745647 ; E [433,4] = [x^16-7*x^15-5*x^14+129*x^13-125*x^12-929*x^11+1471*x^10+3333*x^9-6394*x^8-6443*x^7+13118*x^6+7162*x^5-12217*x^4-4691*x^3+3598*x^2+1114*x-3, [197716,197716*x,13456*x^15-56746*x^14-215630*x^13+1035152*x^12+1403792*x^11-7574942*x^10-5201414*x^9+28343416*x^8+13348668*x^7-56176856*x^6-24111798*x^5+52615312*x^4+24553850*x^3-14782282*x^2-7861136*x-325058,197716*x^2-395432,31748*x^15-160070*x^14-478458*x^13+3174656*x^12+2402040*x^11-25188026*x^10-4027502*x^9+101560912*x^8+2012332*x^7-216201984*x^6-20242790*x^5+219968308*x^4+56350086*x^3-66664682*x^2-21379484*x-165534]]; bsd[434,1] = 0 ; deg[434,1] = 3 ; dsc[434,1] = 1 ; E [434,1] = [x, [1,-1,0,1,0]]; bsd[434,2] = 3 ; deg[434,2] = 3*5 ; dsc[434,2] = 1 ; E [434,2] = [x, [1,1,-3,1,-3]]; bsd[434,3] = 0 ; deg[434,3] = 5 ; dsc[434,3] = 1 ; E [434,3] = [x, [1,1,-2,1,-2]]; bsd[434,4] = 1 ; deg[434,4] = 3 ; dsc[434,4] = 1 ; E [434,4] = [x, [1,1,1,1,3]]; bsd[434,5] = 1 ; deg[434,5] = 5 ; dsc[434,5] = 1 ; E [434,5] = [x, [1,1,2,1,2]]; bsd[434,6] = 1 ; deg[434,6] = 7*17 ; dsc[434,6] = 2^3 ; E [434,6] = [x^2-2*x-1, [1,-1,x,1,2*x-3]]; bsd[434,7] = 17 ; deg[434,7] = 17 ; dsc[434,7] = 17 ; E [434,7] = [x^2-x-4, [1,1,x,1,-x+2]]; bsd[434,8] = 1 ; deg[434,8] = 5^2*61 ; dsc[434,8] = 2^3*71 ; E [434,8] = [x^3+2*x^2-5*x-8, [1,-1,x,1,-x^2+4]]; bsd[434,9] = 17 ; deg[434,9] = 5*17 ; dsc[434,9] = 2^5*71 ; E [434,9] = [x^3-x^2-8*x+4, [1,1,x,1,-x]]; bsd[435,1] = 1 ; deg[435,1] = 5 ; dsc[435,1] = 1 ; E [435,1] = [x, [1,-1,1,-1,1]]; bsd[435,2] = 1 ; deg[435,2] = 5*7 ; dsc[435,2] = 1 ; E [435,2] = [x, [1,0,-1,-2,-1]]; bsd[435,3] = 1/3 ; deg[435,3] = 5 ; dsc[435,3] = 1 ; E [435,3] = [x, [1,0,1,-2,-1]]; bsd[435,4] = 1 ; deg[435,4] = 3 ; dsc[435,4] = 1 ; E [435,4] = [x, [1,1,1,-1,1]]; bsd[435,5] = 0 ; deg[435,5] = 19 ; dsc[435,5] = 5 ; E [435,5] = [x^2+x-1, [1,x,1,-x-1,-1]]; bsd[435,6] = 1 ; deg[435,6] = 3*5*7*17 ; dsc[435,6] = 3*7 ; E [435,6] = [x^2+x-5, [1,x,1,-x+3,1]]; bsd[435,7] = 1 ; deg[435,7] = 5*11 ; dsc[435,7] = 2^2*5 ; E [435,7] = [x^2-5, [1,x,1,3,-1]]; bsd[435,8] = 3^2 ; deg[435,8] = 3^2*17 ; dsc[435,8] = 17 ; E [435,8] = [x^2-x-4, [1,x,1,x+2,1]]; bsd[435,9] = 1 ; deg[435,9] = 7*19 ; dsc[435,9] = 7*67 ; E [435,9] = [x^3-x^2-5*x+4, [1,x,-1,x^2-2,1]]; bsd[435,10] = 0 ; deg[435,10] = 1 ; dsc[435,10] = 2^2*5^2*89 ; E [435,10] = [x^4+3*x^3-2*x^2-7*x+1, [1,x,-1,x^2-2,-1]]; bsd[436,1] = 1 ; deg[436,1] = 3^2*31 ; dsc[436,1] = 2^3 ; E [436,1] = [x^2-8, [2,0,2*x,0,2*x+2]]; bsd[436,2] = 0 ; deg[436,2] = 3^3 ; dsc[436,2] = 3^4 ; E [436,2] = [x^3-3*x-1, [1,0,x,0,-x-2]]; bsd[436,3] = 3^2 ; deg[436,3] = 3^4*31 ; dsc[436,3] = 3*10091 ; E [436,3] = [x^4-7*x^2-x+8, [1,0,x,0,-x+2]]; bsd[437,1] = 0 ; deg[437,1] = 5 ; dsc[437,1] = 1 ; E [437,1] = [x, [1,0,2,-2,-1]]; bsd[437,2] = 1 ; deg[437,2] = 5 ; dsc[437,2] = 1 ; E [437,2] = [x, [1,2,2,2,1]]; bsd[437,3] = 0 ; deg[437,3] = 11 ; dsc[437,3] = 5 ; E [437,3] = [x^2+3*x+1, [1,-1,x,-1,2*x+4]]; bsd[437,4] = 0 ; deg[437,4] = 3^2 ; dsc[437,4] = 2^3 ; E [437,4] = [x^2-2, [1,x,x-2,0,-x-1]]; bsd[437,5] = 0 ; deg[437,5] = 3^2*5*11 ; dsc[437,5] = 5 ; E [437,5] = [x^2-5, [2,2*x,-x-1,6,-2*x-2]]; bsd[437,6] = 0 ; deg[437,6] = 11 ; dsc[437,6] = 2^4*33769 ; E [437,6] = [x^5+x^4-7*x^3-2*x^2+12*x-4, [1,x,-x^2-x+2,x^2-2,x^2+x-3]]; bsd[437,7] = 1/5 ; deg[437,7] = 3^4*5 ; dsc[437,7] = 2^6*5^2*547*737929 ; E [437,7] = [x^8-13*x^6+47*x^4-2*x^3-37*x^2-2*x+2, [10,10*x,-3*x^7+x^6+37*x^5-9*x^4-128*x^3+22*x^2+102*x+12,10*x^2-20,x^7+3*x^6-14*x^5-32*x^4+51*x^3+81*x^2-34*x-24]]; bsd[437,8] = 1/3 ; deg[437,8] = 3 ; dsc[437,8] = 2^8*167*2647*217915619544653 ; E [437,8] = [x^12-2*x^11-19*x^10+35*x^9+137*x^8-219*x^7-483*x^6+605*x^5+866*x^4-707*x^3-682*x^2+236*x+96, [244,244*x,-47*x^11+91*x^10+782*x^9-1403*x^8-4548*x^7+7137*x^6+11294*x^5-13993*x^4-10833*x^3+8828*x^2+1196*x-560,244*x^2-488,-24*x^11+88*x^10+350*x^9-1464*x^8-1580*x^7+8418*x^6+2198*x^5-20176*x^4+480*x^3+18242*x^2-1632*x-2700]]; bsd[438,1] = 0 ; deg[438,1] = 1 ; dsc[438,1] = 1 ; E [438,1] = [x, [1,-1,-1,1,0]]; bsd[438,2] = 0 ; deg[438,2] = 1 ; dsc[438,2] = 1 ; E [438,2] = [x, [1,-1,1,1,-4]]; bsd[438,3] = 0 ; deg[438,3] = 3^2 ; dsc[438,3] = 1 ; E [438,3] = [x, [1,-1,1,1,0]]; bsd[438,4] = 1 ; deg[438,4] = 7 ; dsc[438,4] = 1 ; E [438,4] = [x, [1,-1,1,1,2]]; bsd[438,5] = 0 ; deg[438,5] = 1 ; dsc[438,5] = 1 ; E [438,5] = [x, [1,1,-1,1,-2]]; bsd[438,6] = 1 ; deg[438,6] = 1 ; dsc[438,6] = 1 ; E [438,6] = [x, [1,1,1,1,0]]; bsd[438,7] = 3 ; deg[438,7] = 3^2 ; dsc[438,7] = 1 ; E [438,7] = [x, [1,1,1,1,0]]; bsd[438,8] = 1 ; deg[438,8] = 7*23 ; dsc[438,8] = 2^5 ; E [438,8] = [x^2-8, [1,-1,-1,1,x]]; bsd[438,9] = 5 ; deg[438,9] = 5*29 ; dsc[438,9] = 2^2*5 ; E [438,9] = [x^2+2*x-4, [1,1,-1,1,x]]; bsd[439,1] = 0 ; deg[439,1] = 31 ; dsc[439,1] = 5 ; E [439,1] = [x^2-x-1, [1,-1,x,-1,-x+1]]; bsd[439,2] = 0 ; deg[439,2] = 31 ; dsc[439,2] = 3^2*16794662617 ; E [439,2] = [x^9+x^8-12*x^7-6*x^6+49*x^5-x^4-72*x^3+30*x^2+18*x-9, [9,9*x,x^8+x^7-15*x^6-9*x^5+76*x^4+17*x^3-138*x^2+6*x+45,9*x^2-18,-7*x^8-10*x^7+84*x^6+81*x^5-343*x^4-158*x^3+501*x^2+30*x-144]]; bsd[439,3] = 1/73 ; deg[439,3] = 1 ; dsc[439,3] = 173*84179*85667*513841517138871835091506167235408934202857 ; E [439,3] = [x^25-4*x^24-31*x^23+138*x^22+389*x^21-2034*x^20-2453*x^19+16766*x^18+7126*x^17-84887*x^16+1717*x^15+272618*x^14-79978*x^13-552928*x^12+255108*x^11+682589*x^10-376568*x^9-476301*x^8+270078*x^7+167567*x^6-81530*x^5-24739*x^4+6834*x^3+740*x^2-187*x+5, [85318433382171922788,85318433382171922788*x,-14104854800347166937*x^24+33510873812971511061*x^23+484148117403082974750*x^22-1149082882909004027256*x^21-7080042312862245012693*x^20+16810580920659368742651*x^19+57638120517021604055754*x^18-137318911927711238618760*x^17-285944681635255256274966*x^16+687756559323051763328817*x^15+886885051987253317450746*x^14-2180957653216587483309444*x^13-1688039930226035353114434*x^12+4361220272931106505358762*x^11+1834341928592508975147570*x^10-5305037882042007445080951*x^9-947225074811594302297281*x^8+3648355703208006728121546*x^7+112307378654131377023160*x^6-1257447637119504859251255*x^5+35126129648781223841997*x^4+177340840768659511495854*x^3-1644010741415690969856*x^2-6483292438416736809084*x+229585419895110846579,85318433382171922788*x^2-170636866764343845576,4942101066828663015*x^24+158907989149996689*x^23-191233689295905215670*x^22-19715673922500817440*x^21+3218613469814067757527*x^20+551625274506480529191*x^19-30933379144687527103530*x^18-7252480398507708074412*x^17+187210660148093639661762*x^16+54232792042075623535737*x^15-741326018985822462372306*x^14-248013628703629928590176*x^13+1930995994120811340119058*x^12+708463649438786515964094*x^11-3238213890513106629231714*x^10-1248689221718416603050807*x^9+3317106448950463562031615*x^8+1301838008543970620662290*x^7-1874173684937629165187496*x^6-740217812895087517044495*x^5+468660148061304425373357*x^4+186431031210382443413286*x^3-24257358148018998700008*x^2-7505552696107022217648*x+625500068385750135183]]; bsd[440,1] = 0 ; deg[440,1] = 3 ; dsc[440,1] = 1 ; E [440,1] = [x, [1,0,0,0,-1]]; bsd[440,2] = 0 ; deg[440,2] = 1 ; dsc[440,2] = 1 ; E [440,2] = [x, [1,0,0,0,-1]]; bsd[440,3] = 3 ; deg[440,3] = 3^2 ; dsc[440,3] = 1 ; E [440,3] = [x, [1,0,0,0,1]]; bsd[440,4] = 3 ; deg[440,4] = 3^2 ; dsc[440,4] = 1 ; E [440,4] = [x, [1,0,3,0,1]]; bsd[440,5] = 1 ; deg[440,5] = 1 ; dsc[440,5] = 17 ; E [440,5] = [x^2+x-4, [1,0,x,0,1]]; bsd[440,6] = 1 ; deg[440,6] = 1 ; dsc[440,6] = 17 ; E [440,6] = [x^2-3*x-2, [1,0,-x+2,0,-1]]; bsd[440,7] = 1 ; deg[440,7] = 13 ; dsc[440,7] = 17 ; E [440,7] = [x^2-5*x+2, [1,0,x-2,0,-1]]; bsd[441,1] = 0 ; deg[441,1] = 3 ; dsc[441,1] = 1 ; E [441,1] = [x, [1,-2,0,2,-2]]; bsd[441,2] = 1 ; deg[441,2] = 3*7 ; dsc[441,2] = 1 ; E [441,2] = [x, [1,-2,0,2,2]]; bsd[441,3] = 0 ; deg[441,3] = 1 ; dsc[441,3] = 1 ; E [441,3] = [x, [1,-1,0,-1,0]]; bsd[441,4] = 0 ; deg[441,4] = 3 ; dsc[441,4] = 1 ; E [441,4] = [x, [1,0,0,-2,0]]; bsd[441,5] = 1 ; deg[441,5] = 3*7 ; dsc[441,5] = 1 ; E [441,5] = [x, [1,0,0,-2,0]]; bsd[441,6] = 0 ; deg[441,6] = 3 ; dsc[441,6] = 1 ; E [441,6] = [x, [1,1,0,-1,-2]]; bsd[441,7] = 1 ; deg[441,7] = 3 ; dsc[441,7] = 2^2*3 ; E [441,7] = [x^2-3, [1,x,0,1,2*x]]; bsd[441,8] = 1 ; deg[441,8] = 3*7 ; dsc[441,8] = 2^2*7 ; E [441,8] = [x^2-7, [1,x,0,5,0]]; bsd[441,9] = 1 ; deg[441,9] = 7 ; dsc[441,9] = 2^3 ; E [441,9] = [x^2+4*x+2, [1,x+3,0,2*x+5,x]]; bsd[441,10] = 1 ; deg[441,10] = 1 ; dsc[441,10] = 2^3 ; E [441,10] = [x^2-4*x+2, [1,-x+3,0,-2*x+5,x]]; bsd[442,1] = 1 ; deg[442,1] = 1 ; dsc[442,1] = 1 ; E [442,1] = [x, [1,-1,2,1,2]]; bsd[442,2] = 0 ; deg[442,2] = 3 ; dsc[442,2] = 1 ; E [442,2] = [x, [1,1,0,1,-4]]; bsd[442,3] = 1 ; deg[442,3] = 3 ; dsc[442,3] = 1 ; E [442,3] = [x, [1,1,0,1,2]]; bsd[442,4] = 1 ; deg[442,4] = 3 ; dsc[442,4] = 1 ; E [442,4] = [x, [1,1,2,1,-2]]; bsd[442,5] = 11 ; deg[442,5] = 3*5*11 ; dsc[442,5] = 1 ; E [442,5] = [x, [1,1,2,1,4]]; bsd[442,6] = 0 ; deg[442,6] = 7^2 ; dsc[442,6] = 2^3 ; E [442,6] = [x^2+4*x+2, [1,-1,x,1,-x-2]]; bsd[442,7] = 1 ; deg[442,7] = 5*11 ; dsc[442,7] = 2^2*5 ; E [442,7] = [x^2-2*x-4, [1,-1,x,1,2]]; bsd[442,8] = 0 ; deg[442,8] = 5 ; dsc[442,8] = 2^4*37 ; E [442,8] = [x^3+2*x^2-4*x-4, [1,-1,x,1,-x^2-x+2]]; bsd[442,9] = 1 ; deg[442,9] = 1 ; dsc[442,9] = 2^4*79 ; E [442,9] = [x^3-2*x^2-6*x+8, [1,1,x,1,-x+2]]; bsd[443,1] = 0 ; deg[443,1] = 7 ; dsc[443,1] = 1 ; E [443,1] = [x, [1,-1,-2,-1,0]]; bsd[443,2] = 0 ; deg[443,2] = 3 ; dsc[443,2] = 1 ; E [443,2] = [x, [1,0,1,-2,-2]]; bsd[443,3] = 1 ; deg[443,3] = 31 ; dsc[443,3] = 1 ; E [443,3] = [x, [1,1,-2,-1,4]]; bsd[443,4] = 0 ; deg[443,4] = 3*7 ; dsc[443,4] = 2^4*48508479390300197 ; E [443,4] = [x^12+3*x^11-13*x^10-39*x^9+64*x^8+181*x^7-159*x^6-357*x^5+226*x^4+264*x^3-156*x^2-20*x+6, [10173,10173*x,-2859*x^11-7221*x^10+36354*x^9+86829*x^8-164967*x^7-356721*x^6+323694*x^5+578376*x^4-267246*x^3-319599*x^2+68826*x+23565,10173*x^2-20346,1928*x^11+5446*x^10-23676*x^9-68382*x^8+101843*x^7+301935*x^6-193308*x^5-552888*x^4+197453*x^3+360922*x^2-126538*x-16482]]; bsd[443,5] = 1/13*17 ; deg[443,5] = 31 ; dsc[443,5] = 2^10*499*6899*2817219327571188909266947704801865987 ; E [443,5] = [x^22-x^21-35*x^20+33*x^19+523*x^18-456*x^17-4360*x^16+3428*x^15+22226*x^14-15227*x^13-71363*x^12+40569*x^11+143034*x^10-62774*x^9-170342*x^8+51992*x^7+107186*x^6-20952*x^5-26926*x^4+5536*x^3+1736*x^2-512*x+32, [2212095231072,2212095231072*x,194653117720*x^21-146264520510*x^20-6824916808190*x^19+4779423817126*x^18+102276756870038*x^17-64862839372318*x^16-856132545884564*x^15+472964535877632*x^14+4388081755893464*x^13-1994820019271268*x^12-14184263152221902*x^11+4840089307767646*x^10+28644144619952830*x^9-6174379376324104*x^8-34336809401774196*x^7+2993230296472604*x^6+21611850496843240*x^5+352308009411604*x^4-5311329869641560*x^3+10235896895956*x^2+363845506465992*x-32718757780688,2212095231072*x^2-4424190462144,-17950769828*x^21+11157979128*x^20+552506074144*x^19-470517931016*x^18-7156135615888*x^17+7962357750692*x^16+50949722224408*x^15-71706216289392*x^14-219357938578936*x^13+377936066966292*x^12+595892442632992*x^11-1195025045294456*x^10-1043026698605612*x^9+2216662765179176*x^8+1174922602134000*x^7-2242152111291880*x^6-787958608742744*x^5+1078256154114568*x^4+236218288661640*x^3-222404691446360*x^2-32835974372112*x+11815219982176]]; bsd[444,1] = 1 ; deg[444,1] = 3 ; dsc[444,1] = 1 ; E [444,1] = [x, [1,0,-1,0,0]]; bsd[444,2] = 0 ; deg[444,2] = 3 ; dsc[444,2] = 1 ; E [444,2] = [x, [1,0,1,0,-2]]; bsd[444,3] = 0 ; deg[444,3] = 3^3 ; dsc[444,3] = 2^2*3 ; E [444,3] = [x^2+2*x-2, [1,0,-1,0,x]]; bsd[444,4] = 5 ; deg[444,4] = 3^2*5 ; dsc[444,4] = 2^3*3 ; E [444,4] = [x^2-6, [1,0,1,0,x]]; bsd[445,1] = 0 ; deg[445,1] = 5*11 ; dsc[445,1] = 2^2*5 ; E [445,1] = [x^2+2*x-4, [1,-1,x,-1,-1]]; bsd[445,2] = 1/3 ; deg[445,2] = 13 ; dsc[445,2] = 2^2*3 ; E [445,2] = [x^2-3, [1,x,x+1,1,1]]; bsd[445,3] = 1 ; deg[445,3] = 7 ; dsc[445,3] = 2^3 ; E [445,3] = [x^2-2*x-1, [1,x,-x+1,2*x-1,1]]; bsd[445,4] = 0 ; deg[445,4] = 11 ; dsc[445,4] = 5^2*29 ; E [445,4] = [x^4-x^3-5*x^2+7*x-1, [1,x,x^3-5*x+2,x^2-2,-1]]; bsd[445,5] = 7/5 ; deg[445,5] = 7^2*13 ; dsc[445,5] = 8069 ; E [445,5] = [x^4-x^3-5*x^2+5*x+1, [1,x,x^3-5*x+2,x^2-2,1]]; bsd[445,6] = 0 ; deg[445,6] = 521 ; dsc[445,6] = 2^4*3*27026963 ; E [445,6] = [x^7+4*x^6-3*x^5-24*x^4-8*x^3+29*x^2+6*x-9, [3,3*x,2*x^6+5*x^5-12*x^4-27*x^3+14*x^2+19*x-9,3*x^2-6,3]]; bsd[445,7] = 1 ; deg[445,7] = 13*317 ; dsc[445,7] = 2^10*2687*64871 ; E [445,7] = [x^8-x^7-11*x^6+9*x^5+34*x^4-19*x^3-27*x^2+11*x-1, [2,2*x,2*x^7-x^6-23*x^5+8*x^4+76*x^3-12*x^2-65*x+9,2*x^2-4,-2]]; bsd[446,1] = 0 ; deg[446,1] = 11 ; dsc[446,1] = 1 ; E [446,1] = [x, [1,-1,-3,1,-4]]; bsd[446,2] = 0 ; deg[446,2] = 3 ; dsc[446,2] = 1 ; E [446,2] = [x, [1,-1,-1,1,0]]; bsd[446,3] = 0 ; deg[446,3] = 7 ; dsc[446,3] = 1 ; E [446,3] = [x, [1,1,-1,1,-2]]; bsd[446,4] = 3 ; deg[446,4] = 3^2 ; dsc[446,4] = 1 ; E [446,4] = [x, [1,1,2,1,0]]; bsd[446,5] = 3^2*7 ; deg[446,5] = 3^3*7^2 ; dsc[446,5] = 2^8*49368691 ; E [446,5] = [x^7-x^6-14*x^5+12*x^4+50*x^3-36*x^2-38*x+18, [239,239,239*x,239,-6*x^6+37*x^5+92*x^4-388*x^3-526*x^2+703*x+858]]; bsd[446,6] = 11^2/3 ; deg[446,6] = 11*359353 ; dsc[446,6] = 2^12*3^2*29*4538477 ; E [446,6] = [x^8-4*x^7-12*x^6+54*x^5+34*x^4-204*x^3+6*x^2+160*x+34, [33,-33,33*x,33,-x^7+19*x^5+2*x^4-116*x^3+2*x^2+221*x-10]]; bsd[447,1] = 0 ; deg[447,1] = 3*73 ; dsc[447,1] = 3^4 ; E [447,1] = [x^3+3*x^2-3, [1,x,1,x^2-2,-2]]; bsd[447,2] = 0 ; deg[447,2] = 13 ; dsc[447,2] = 7^2 ; E [447,2] = [x^3+x^2-2*x-1, [1,x,-1,x^2-2,0]]; bsd[447,3] = 139/5^2 ; deg[447,3] = 139 ; dsc[447,3] = 2^9*71*89*7857719 ; E [447,3] = [x^9-4*x^8-6*x^7+37*x^6-3*x^5-101*x^4+49*x^3+72*x^2-21*x-13, [1,x,1,x^2-2,2*x^8-4*x^7-21*x^6+35*x^5+71*x^4-83*x^3-79*x^2+31*x+19]]; bsd[447,4] = 1 ; deg[447,4] = 43*9491 ; dsc[447,4] = 2^6*149*138373*19120967 ; E [447,4] = [x^10-3*x^9-12*x^8+37*x^7+44*x^6-142*x^5-50*x^4+181*x^3-5*x^2-30*x+1, [647,647*x,-647,647*x^2-1294,-135*x^9+358*x^8+1898*x^7-4732*x^6-8776*x^5+19642*x^4+14058*x^3-26097*x^2-2602*x+2962]]; bsd[448,1] = 1 ; deg[448,1] = 1 ; dsc[448,1] = 1 ; E [448,1] = [x, [1,0,-2,0,0]]; bsd[448,2] = 0 ; deg[448,2] = 1 ; dsc[448,2] = 1 ; E [448,2] = [x, [1,0,-2,0,0]]; bsd[448,3] = 1 ; deg[448,3] = 1 ; dsc[448,3] = 1 ; E [448,3] = [x, [1,0,-2,0,4]]; bsd[448,4] = 0 ; deg[448,4] = 1 ; dsc[448,4] = 1 ; E [448,4] = [x, [1,0,0,0,-2]]; bsd[448,5] = 0 ; deg[448,5] = 1 ; dsc[448,5] = 1 ; E [448,5] = [x, [1,0,0,0,-2]]; bsd[448,6] = 1 ; deg[448,6] = 1 ; dsc[448,6] = 1 ; E [448,6] = [x, [1,0,2,0,0]]; bsd[448,7] = 1 ; deg[448,7] = 1 ; dsc[448,7] = 1 ; E [448,7] = [x, [1,0,2,0,0]]; bsd[448,8] = 1 ; deg[448,8] = 1 ; dsc[448,8] = 1 ; E [448,8] = [x, [1,0,2,0,4]]; bsd[448,9] = 0 ; deg[448,9] = 1 ; dsc[448,9] = 2^2*5 ; E [448,9] = [x^2+2*x-4, [1,0,x,0,-x-2]]; bsd[448,10] = 1 ; deg[448,10] = 1 ; dsc[448,10] = 2^2*5 ; E [448,10] = [x^2-2*x-4, [1,0,x,0,x-2]]; bsd[449,1] = 0 ; deg[449,1] = 1 ; dsc[449,1] = 1431966252229376199841 ; E [449,1] = [x^14+3*x^13-13*x^12-42*x^11+59*x^10+214*x^9-117*x^8-503*x^7+109*x^6+576*x^5-50*x^4-309*x^3+14*x^2+62*x-3, [581,581*x,1367*x^13+2544*x^12-21440*x^11-35460*x^10+130273*x^9+176883*x^8-397316*x^7-387181*x^6+642243*x^5+359615*x^4-504323*x^3-105389*x^2+145130*x-6416,581*x^2-1162,-689*x^13-1037*x^12+11692*x^11+15082*x^10-77477*x^9-79331*x^8+255690*x^7+183819*x^6-436275*x^5-177694*x^4+352434*x^3+49678*x^2-102958*x+5809]]; bsd[449,2] = 1/7 ; deg[449,2] = 1 ; dsc[449,2] = 2^12*3*101*44933757980789*188247485945671*653016225615601 ; E [449,2] = [x^23-38*x^21+x^20+623*x^19-31*x^18-5771*x^17+398*x^16+33229*x^15-2753*x^14-123306*x^13+11230*x^12+296022*x^11-28009*x^10-450008*x^9+43215*x^8+412760*x^7-40559*x^6-210040*x^5+21311*x^4+50781*x^3-5664*x^2-3789*x+621, [3032489168928,3032489168928*x,21524408778*x^22-68857014861*x^21-905187870690*x^20+2476178523237*x^19+16350143582679*x^18-38065891453842*x^17-166180217327610*x^16+326678595433845*x^15+1046204683911930*x^14-1714106003240328*x^13-4233207429286713*x^12+5658933624403962*x^11+11058411115680687*x^10-11642305534076838*x^9-18247365545250282*x^8+14218428350735820*x^7+18053248104022479*x^6-9197369544320502*x^5-9716165505386580*x^4+2337567882270684*x^3+2344341230439507*x^2-11158803770049*x-121750048806273,3032489168928*x^2-6064978337856,72415240034*x^22-37700679936*x^21-2783536667992*x^20+1306527179348*x^19+46269072177460*x^18-19212911056322*x^17-435830429794372*x^16+156060552305554*x^15+2561515980216128*x^14-763149365908666*x^13-9750612599359908*x^12+2293588459644632*x^11+24167111717249490*x^10-4131128082634628*x^9-38230119042097708*x^8+4072330683982602*x^7+36784887184180684*x^6-1582353740653942*x^5-19649944067785166*x^4-386298777411344*x^3+4803951573725220*x^2+333082604559342*x-279869246271342]]; bsd[450,1] = 0 ; deg[450,1] = 3 ; dsc[450,1] = 1 ; E [450,1] = [x, [1,-1,0,1,0]]; bsd[450,2] = 0 ; deg[450,2] = 1 ; dsc[450,2] = 1 ; E [450,2] = [x, [1,-1,0,1,0]]; bsd[450,3] = 1 ; deg[450,3] = 3*5 ; dsc[450,3] = 1 ; E [450,3] = [x, [1,-1,0,1,0]]; bsd[450,4] = 1 ; deg[450,4] = 3 ; dsc[450,4] = 1 ; E [450,4] = [x, [1,-1,0,1,0]]; bsd[450,5] = 1 ; deg[450,5] = 3 ; dsc[450,5] = 1 ; E [450,5] = [x, [1,1,0,1,0]]; bsd[450,6] = 1 ; deg[450,6] = 5 ; dsc[450,6] = 1 ; E [450,6] = [x, [1,1,0,1,0]]; bsd[450,7] = 1 ; deg[450,7] = 3*5 ; dsc[450,7] = 1 ; E [450,7] = [x, [1,1,0,1,0]]; bsd[451,1] = 0 ; deg[451,1] = 3^2 ; dsc[451,1] = 1 ; E [451,1] = [x, [1,0,1,-2,-3]]; bsd[451,2] = 0 ; deg[451,2] = 3^2 ; dsc[451,2] = 36497 ; E [451,2] = [x^5+2*x^4-5*x^3-10*x^2+4*x+9, [1,x,-x^4-x^3+6*x^2+3*x-8,x^2-2,-2*x^4-x^3+11*x^2+3*x-12]]; bsd[451,3] = 0 ; deg[451,3] = 5^3 ; dsc[451,3] = 61*397 ; E [451,3] = [x^5+2*x^4-3*x^3-4*x^2+2*x+1, [1,x,-x^4-x^3+4*x^2+x-2,x^2-2,-x^3-3*x^2+x+2]]; bsd[451,4] = 1/7 ; deg[451,4] = 17 ; dsc[451,4] = 2^2*3^3*7*6351216494039 ; E [451,4] = [x^10-4*x^9-6*x^8+38*x^7-7*x^6-105*x^5+74*x^4+77*x^3-74*x^2+8, [4,4*x,14*x^9-48*x^8-112*x^7+468*x^6+178*x^5-1370*x^4+216*x^3+1210*x^2-296*x-176,4*x^2-8,x^9-4*x^8-6*x^7+38*x^6-7*x^5-105*x^4+70*x^3+81*x^2-54*x-8]]; bsd[451,5] = 1 ; deg[451,5] = 863 ; dsc[451,5] = 2^2*1627*2255821*138665808473 ; E [451,5] = [x^12-3*x^11-16*x^10+48*x^9+93*x^8-270*x^7-251*x^6+633*x^5+359*x^4-582*x^3-248*x^2+136*x+32, [232,232*x,-11*x^11-15*x^10+216*x^9+288*x^8-1559*x^7-1766*x^6+4841*x^5+3869*x^4-5605*x^3-2238*x^2+1504*x-248,232*x^2-464,59*x^11-83*x^10-974*x^9+1176*x^8+5599*x^7-5476*x^6-13121*x^5+9213*x^4+11403*x^3-4716*x^2-1940*x+824]]; bsd[452,1] = 0 ; deg[452,1] = 3^3 ; dsc[452,1] = 3^4 ; E [452,1] = [x^3+3*x^2-1, [1,0,x,0,-1]]; bsd[452,2] = 3 ; deg[452,2] = 3^6 ; dsc[452,2] = 2^6*7*153865891 ; E [452,2] = [x^7-3*x^6-12*x^5+33*x^4+40*x^3-98*x^2-16*x+58, [1,0,x,0,x^6-2*x^5-13*x^4+16*x^3+52*x^2-22*x-44]]; bsd[453,1] = 1/19 ; deg[453,1] = 491 ; dsc[453,1] = 5 ; E [453,1] = [x^2+3*x+1, [1,x,1,-3*x-3,x+3]]; bsd[453,2] = 0 ; deg[453,2] = 19 ; dsc[453,2] = 5 ; E [453,2] = [x^2+x-1, [1,x,1,-x-1,-x-1]]; bsd[453,3] = 1 ; deg[453,3] = 3*11*23 ; dsc[453,3] = 2^2*3 ; E [453,3] = [x^2-3, [1,x,-1,1,2]]; bsd[453,4] = 1 ; deg[453,4] = 3^2*11 ; dsc[453,4] = 5 ; E [453,4] = [x^2-3*x+1, [1,x,-1,3*x-3,x-3]]; bsd[453,5] = 0 ; deg[453,5] = 29 ; dsc[453,5] = 7^2 ; E [453,5] = [x^3+x^2-2*x-1, [1,x,-1,x^2-2,-2*x^2-x+2]]; bsd[453,6] = 0 ; deg[453,6] = 29*41 ; dsc[453,6] = 5*238001 ; E [453,6] = [x^5+3*x^4-6*x^3-18*x^2+8*x+19, [1,x,-1,x^2-2,-x^4-x^3+6*x^2+2*x-6]]; bsd[453,7] = 71 ; deg[453,7] = 71*491 ; dsc[453,7] = 2^2*1030241*6431807 ; E [453,7] = [x^9-6*x^8+3*x^7+42*x^6-68*x^5-62*x^4+168*x^3-15*x^2-98*x+31, [2,2*x,2,2*x^2-4,4*x^8-14*x^7-24*x^6+112*x^5+10*x^4-246*x^3+76*x^2+148*x-54]]; bsd[454,1] = 0 ; deg[454,1] = 19 ; dsc[454,1] = 5 ; E [454,1] = [x^2+3*x+1, [1,1,x,1,-2*x-4]]; bsd[454,2] = 0 ; deg[454,2] = 7^2 ; dsc[454,2] = 2^6*41 ; E [454,2] = [x^4+2*x^3-3*x^2-2*x+1, [1,-1,x,1,-x^3-3*x^2+x+2]]; bsd[454,3] = 1 ; deg[454,3] = 2957 ; dsc[454,3] = 541*569 ; E [454,3] = [x^5+x^4-11*x^3-8*x^2+28*x+8, [4,-4,4*x,4,x^4-3*x^3-7*x^2+20*x+4]]; bsd[454,4] = 7*41/19 ; deg[454,4] = 7*41 ; dsc[454,4] = 2^4*7*101*538823 ; E [454,4] = [x^7-4*x^6-9*x^5+48*x^4-11*x^3-92*x^2+28*x+56, [4,4,4*x,4,-x^6+4*x^5+9*x^4-44*x^3+7*x^2+48*x+4]]; bsd[455,1] = 0 ; deg[455,1] = 1 ; dsc[455,1] = 1 ; E [455,1] = [x, [1,-1,0,-1,1]]; bsd[455,2] = 0 ; deg[455,2] = 3 ; dsc[455,2] = 1 ; E [455,2] = [x, [1,1,0,-1,-1]]; bsd[455,3] = 1 ; deg[455,3] = 5^2*67 ; dsc[455,3] = 12197 ; E [455,3] = [x^4+x^3-5*x^2-3*x+1, [1,x,x^3+x^2-4*x-2,x^2-2,-1]]; bsd[455,4] = 3^2 ; deg[455,4] = 3^2*23*67 ; dsc[455,4] = 19*103 ; E [455,4] = [x^4-3*x^3-x^2+5*x+1, [1,x,-x^3+3*x^2-2,x^2-2,1]]; bsd[455,5] = 3 ; deg[455,5] = 3^2 ; dsc[455,5] = 2^4*11463443 ; E [455,5] = [x^6-3*x^5-6*x^4+20*x^3+6*x^2-31*x+9, [1,x,-x^3+x^2+4*x-2,x^2-2,1]]; bsd[455,6] = 3 ; deg[455,6] = 3*19*79 ; dsc[455,6] = 2^6*3*4457*166571 ; E [455,6] = [x^7-15*x^5+2*x^4+66*x^3-17*x^2-72*x+19, [14,14*x,-x^6-5*x^5+18*x^4+46*x^3-88*x^2-73*x+71,14*x^2-28,-14]]; bsd[456,1] = 0 ; deg[456,1] = 3 ; dsc[456,1] = 1 ; E [456,1] = [x, [1,0,-1,0,1]]; bsd[456,2] = 1 ; deg[456,2] = 5 ; dsc[456,2] = 1 ; E [456,2] = [x, [1,0,-1,0,4]]; bsd[456,3] = 0 ; deg[456,3] = 3 ; dsc[456,3] = 1 ; E [456,3] = [x, [1,0,1,0,-3]]; bsd[456,4] = 3 ; deg[456,4] = 3 ; dsc[456,4] = 1 ; E [456,4] = [x, [1,0,1,0,2]]; bsd[456,5] = 1 ; deg[456,5] = 5^2 ; dsc[456,5] = 41 ; E [456,5] = [x^2+x-10, [1,0,-1,0,x]]; bsd[456,6] = 1 ; deg[456,6] = 1 ; dsc[456,6] = 17 ; E [456,6] = [x^2-x-4, [1,0,1,0,x]]; bsd[457,1] = 0 ; deg[457,1] = 31 ; dsc[457,1] = 5 ; E [457,1] = [x^2-x-1, [1,x,-x+1,x-1,-2]]; bsd[457,2] = 0 ; deg[457,2] = 31 ; dsc[457,2] = 5653726203394180386934181 ; E [457,2] = [x^15+10*x^14+27*x^13-43*x^12-324*x^11-310*x^10+917*x^9+1910*x^8-330*x^7-3170*x^6-1281*x^5+1917*x^4+1110*x^3-506*x^2-232*x+79, [3,3*x,-22*x^14-176*x^13-248*x^12+1409*x^11+4334*x^10-1464*x^9-17000*x^8-9601*x^7+24824*x^6+23065*x^5-14540*x^4-15932*x^3+4537*x^2+3510*x-1043,3*x^2-6,-8*x^14-79*x^13-184*x^12+502*x^11+2524*x^10+765*x^9-9145*x^8-9500*x^7+12118*x^6+18116*x^5-5953*x^4-11923*x^3+1877*x^2+2634*x-661]]; bsd[457,3] = 1/19 ; deg[457,3] = 1 ; dsc[457,3] = 2^2*653*3169*38983093*52621913*33122975406370693 ; E [457,3] = [x^20-6*x^19-12*x^18+130*x^17-25*x^16-1135*x^15+1068*x^14+5145*x^13-6910*x^12-12965*x^11+21043*x^10+17930*x^9-33307*x^8-12486*x^7+25549*x^6+3888*x^5-7077*x^4-927*x^3+255*x^2+6*x-1, [141335001074,141335001074*x,44910231344*x^19-262132953782*x^18-563277420572*x^17+5654100777618*x^16-473601547870*x^15-49145361624864*x^14+40936673953584*x^13+222077953664738*x^12-270620374380398*x^11-560219751788428*x^10+819915782213548*x^9+784177139072470*x^8-1279159638790676*x^7-568426102864896*x^6+960623957509494*x^5+195146259448128*x^4-256480160792170*x^3-44219181634722*x^2+6522543544288*x+271817263110,141335001074*x^2-282670002148,28269732272*x^19-181716809048*x^18-300832245364*x^17+3963907016606*x^16-1645333444716*x^15-34890755875230*x^14+39551782913484*x^13+159677427659620*x^12-244248864879272*x^11-406820865283386*x^10+737410175813690*x^9+570192093781662*x^8-1167685979967860*x^7-406298485161842*x^6+894032612012266*x^5+137008689693482*x^4-240633807259142*x^3-38487704445738*x^2+5619931590802*x+390073936886]]; bsd[458,1] = 0 ; deg[458,1] = 3 ; dsc[458,1] = 1 ; E [458,1] = [x, [1,-1,-3,1,1]]; bsd[458,2] = 0 ; deg[458,2] = 5 ; dsc[458,2] = 1 ; E [458,2] = [x, [1,1,-1,1,-1]]; bsd[458,3] = 0 ; deg[458,3] = 3*13 ; dsc[458,3] = 13 ; E [458,3] = [x^2-x-3, [1,-1,0,1,x]]; bsd[458,4] = 1/3 ; deg[458,4] = 18169 ; dsc[458,4] = 3^2*550494677 ; E [458,4] = [x^7-4*x^6-6*x^5+31*x^4+12*x^3-77*x^2-10*x+59, [1,-1,x,1,x^6-5*x^5+x^4+24*x^3-22*x^2-27*x+31]]; bsd[458,5] = 43/5*23 ; deg[458,5] = 43 ; dsc[458,5] = 7^2*683*1873*5959763 ; E [458,5] = [x^9-2*x^8-20*x^7+41*x^6+112*x^5-241*x^4-160*x^3+385*x^2+28*x-112, [145364,145364,145364*x,145364,-737*x^8-8626*x^7+10728*x^6+163547*x^5-48152*x^4-827039*x^3+216284*x^2+956203*x-64284]]; bsd[459,1] = 0 ; deg[459,1] = 3*5 ; dsc[459,1] = 1 ; E [459,1] = [x, [1,-2,0,2,-4]]; bsd[459,2] = 1 ; deg[459,2] = 3*11 ; dsc[459,2] = 1 ; E [459,2] = [x, [1,-2,0,2,2]]; bsd[459,3] = 0 ; deg[459,3] = 3^2 ; dsc[459,3] = 1 ; E [459,3] = [x, [1,-1,0,-1,1]]; bsd[459,4] = 1/3 ; deg[459,4] = 3^3 ; dsc[459,4] = 1 ; E [459,4] = [x, [1,0,0,-2,-3]]; bsd[459,5] = 1 ; deg[459,5] = 3^2 ; dsc[459,5] = 1 ; E [459,5] = [x, [1,0,0,-2,3]]; bsd[459,6] = 0 ; deg[459,6] = 3 ; dsc[459,6] = 1 ; E [459,6] = [x, [1,1,0,-1,-1]]; bsd[459,7] = 1 ; deg[459,7] = 3^2*11 ; dsc[459,7] = 1 ; E [459,7] = [x, [1,2,0,2,-2]]; bsd[459,8] = 1 ; deg[459,8] = 3^2*5 ; dsc[459,8] = 1 ; E [459,8] = [x, [1,2,0,2,4]]; bsd[459,9] = 1 ; deg[459,9] = 3^4*5 ; dsc[459,9] = 5 ; E [459,9] = [x^2+x-1, [1,x,0,-x-1,-x+1]]; bsd[459,10] = 0 ; deg[459,10] = 3^3 ; dsc[459,10] = 13 ; E [459,10] = [x^2+x-3, [1,x,0,-x+1,-x-3]]; bsd[459,11] = 0 ; deg[459,11] = 3^2*5 ; dsc[459,11] = 5 ; E [459,11] = [x^2-x-1, [1,x,0,x-1,-x-1]]; bsd[459,12] = 1/3 ; deg[459,12] = 3^3 ; dsc[459,12] = 13 ; E [459,12] = [x^2-x-3, [1,x,0,x+1,-x+3]]; bsd[459,13] = 1 ; deg[459,13] = 3^6*11 ; dsc[459,13] = 2^2*101 ; E [459,13] = [x^3+x^2-7*x-9, [1,x,0,x^2-2,x^2-6]]; bsd[459,14] = 1/3 ; deg[459,14] = 3^5*11 ; dsc[459,14] = 2^2*101 ; E [459,14] = [x^3-x^2-7*x+9, [1,x,0,x^2-2,-x^2+6]]; bsd[460,1] = 0 ; deg[460,1] = 3 ; dsc[460,1] = 1 ; E [460,1] = [x, [1,0,-1,0,1]]; bsd[460,2] = 1 ; deg[460,2] = 3^2 ; dsc[460,2] = 1 ; E [460,2] = [x, [1,0,0,0,-1]]; bsd[460,3] = 0 ; deg[460,3] = 3^2 ; dsc[460,3] = 1 ; E [460,3] = [x, [1,0,1,0,-1]]; bsd[460,4] = 1 ; deg[460,4] = 3^2*5 ; dsc[460,4] = 1 ; E [460,4] = [x, [1,0,3,0,-1]]; bsd[460,5] = 1 ; deg[460,5] = 3^2 ; dsc[460,5] = 17 ; E [460,5] = [x^2-x-4, [1,0,x,0,1]]; bsd[461,1] = 0 ; deg[461,1] = 19 ; dsc[461,1] = 5 ; E [461,1] = [x^2+x-1, [1,x,x-1,-x-1,2*x+1]]; bsd[461,2] = 0 ; deg[461,2] = 97 ; dsc[461,2] = 7^2 ; E [461,2] = [x^3+2*x^2-x-1, [1,x,2*x^2+3*x-2,x^2-2,-2*x^2-4*x+1]]; bsd[461,3] = 0 ; deg[461,3] = 19*97 ; dsc[461,3] = 80750473 ; E [461,3] = [x^7-8*x^5+x^4+18*x^3-2*x^2-12*x+1, [1,x,x^5-6*x^3+x^2+6*x-1,x^2-2,-x^5+6*x^3-x^2-7*x]]; bsd[461,4] = 1/5*23 ; deg[461,4] = 1 ; dsc[461,4] = 2^25*19*3104029729*607263139073*3729490905341009668647473177 ; E [461,4] = [x^26-3*x^25-41*x^24+126*x^23+726*x^22-2303*x^21-7266*x^20+24054*x^19+45144*x^18-158550*x^17-179824*x^16+687620*x^15+456511*x^14-1985932*x^13-703693*x^12+3785104*x^11+571532*x^10-4624305*x^9-111938*x^8+3430214*x^7-156745*x^6-1399829*x^5+108715*x^4+249906*x^3-21297*x^2-6102*x+223, [79452970167808,79452970167808*x,-18411620439*x^25+504124605276*x^24-470141107935*x^23-20612532444589*x^22+36754184162415*x^21+364237934953392*x^20-753510909479226*x^19-3641958132508816*x^18+8073693987022900*x^17+22652375835053178*x^16-52457925400371350*x^15-90693691656790686*x^14+217656635876641153*x^13+233496124711315187*x^12-582246532910211218*x^11-373820503413376726*x^10+983354853923556414*x^9+343467078638191121*x^8-992645198412472247*x^7-150194664903861945*x^6+537972502717940624*x^5+13620998787985797*x^4-124835163766573768*x^3+5764216701847466*x^2+4325996849510437*x-48453363884879,79452970167808*x^2-158905940335616,-533667583320*x^25+1070948233227*x^24+22722271687947*x^23-44162634567320*x^22-422227565561867*x^21+789640228287734*x^20+4499008951511820*x^19-8027279296218828*x^18-30381371911163382*x^17+51127779851991152*x^16+135691366785720340*x^15-212009684413759972*x^14-406181818081007652*x^13+576100090591804269*x^12+808845880412822488*x^11-1006850664071936146*x^10-1042522792793858504*x^9+1079791855264038202*x^8+823928140449728253*x^7-649619966109323688*x^6-358732742406467765*x^5+183920627873384021*x^4+65182043250006016*x^3-15397912298726654*x^2-176881129779974*x+94898764459539]]; bsd[462,1] = 0 ; deg[462,1] = 1 ; dsc[462,1] = 1 ; E [462,1] = [x, [1,-1,-1,1,-2]]; bsd[462,2] = 0 ; deg[462,2] = 1 ; dsc[462,2] = 1 ; E [462,2] = [x, [1,-1,-1,1,0]]; bsd[462,3] = 1 ; deg[462,3] = 3*5 ; dsc[462,3] = 1 ; E [462,3] = [x, [1,-1,-1,1,2]]; bsd[462,4] = 1 ; deg[462,4] = 5*13 ; dsc[462,4] = 1 ; E [462,4] = [x, [1,-1,1,1,0]]; bsd[462,5] = 0 ; deg[462,5] = 3*7 ; dsc[462,5] = 1 ; E [462,5] = [x, [1,1,-1,1,-4]]; bsd[462,6] = 1 ; deg[462,6] = 3 ; dsc[462,6] = 1 ; E [462,6] = [x, [1,1,1,1,0]]; bsd[462,7] = 1 ; deg[462,7] = 3 ; dsc[462,7] = 1 ; E [462,7] = [x, [1,1,1,1,2]]; bsd[462,8] = 1 ; deg[462,8] = 3*11 ; dsc[462,8] = 2^4*3 ; E [462,8] = [x^2-12, [1,-1,1,1,x]]; bsd[463,1] = 0 ; deg[463,1] = 1 ; dsc[463,1] = 568201*132502583*1474412920219 ; E [463,1] = [x^16+9*x^15+17*x^14-70*x^13-282*x^12+7*x^11+1223*x^10+1073*x^9-2045*x^8-2946*x^7+1137*x^6+2847*x^5+88*x^4-954*x^3-47*x^2+118*x-9, [27157,27157*x,16567*x^15+123555*x^14+102271*x^13-1241603*x^12-2734229*x^11+3506452*x^10+13535438*x^9-203986*x^8-26549731*x^7-10979775*x^6+21686537*x^5+12171527*x^4-6229152*x^3-2631590*x^2+913821*x-7771,27157*x^2-54314,83122*x^15+552227*x^14+87178*x^13-6186401*x^12-8887931*x^11+23320843*x^10+49292191*x^9-33481162*x^8-105111955*x^7+10919259*x^6+97009640*x^5+8696311*x^4-35462726*x^3-1670331*x^2+4828811*x-430872]]; bsd[463,2] = 1/7*11 ; deg[463,2] = 1 ; dsc[463,2] = 113*311*9929*2770309905285622039024420194209857723 ; E [463,2] = [x^22-8*x^21-x^20+161*x^19-281*x^18-1216*x^17+3523*x^16+3859*x^15-19383*x^14-1030*x^13+56835*x^12-26406*x^11-90387*x^10+71356*x^9+71796*x^8-76057*x^7-22452*x^6+32959*x^5+1404*x^4-4772*x^3-174*x^2+237*x+25, [2192028849037,2192028849037*x,88081079557*x^21-274019422929*x^20-2628417572230*x^19+8497220344229*x^18+32189971934528*x^17-109880752912386*x^16-208266773801349*x^15+771496154587641*x^14+755393757720071*x^13-3202984347030693*x^12-1452100823408494*x^11+8005041723954874*x^10+999239360848340*x^9-11686683734002023*x^8+993848469210485*x^7+9112869445104238*x^6-1892870464522139*x^5-3089704075101813*x^4+771221864284476*x^3+257495674539470*x^2-57299624398580*x-4959079589235,2192028849037*x^2-4384057698074,-97598814399*x^21-229142941029*x^20+6158276837549*x^19-2974529732687*x^18-107461690992292*x^17+138090235403933*x^16+872349945365154*x^15-1503806189886096*x^14-3795322820045360*x^13+7940622433385189*x^12+8965478486377590*x^11-23099866942251974*x^10-10123163282652780*x^9+37400061934068795*x^8+1939259022320828*x^7-31536458444330130*x^6+5092393651938517*x^5+11711403309945568*x^4-2812510092495637*x^3-1367124790224856*x^2+225193380521624*x+56904893671196]]; bsd[464,1] = 1 ; deg[464,1] = 3*5 ; dsc[464,1] = 1 ; E [464,1] = [x, [1,0,-2,0,-2]]; bsd[464,2] = 0 ; deg[464,2] = 1 ; dsc[464,2] = 1 ; E [464,2] = [x, [1,0,-1,0,1]]; bsd[464,3] = 1 ; deg[464,3] = 1 ; dsc[464,3] = 1 ; E [464,3] = [x, [1,0,-1,0,3]]; bsd[464,4] = 0 ; deg[464,4] = 1 ; dsc[464,4] = 1 ; E [464,4] = [x, [1,0,1,0,-3]]; bsd[464,5] = 1 ; deg[464,5] = 3 ; dsc[464,5] = 1 ; E [464,5] = [x, [1,0,1,0,1]]; bsd[464,6] = 1 ; deg[464,6] = 3 ; dsc[464,6] = 1 ; E [464,6] = [x, [1,0,3,0,-3]]; bsd[464,7] = 1 ; deg[464,7] = 3*5 ; dsc[464,7] = 1 ; E [464,7] = [x, [1,0,3,0,3]]; bsd[464,8] = 0 ; deg[464,8] = 1 ; dsc[464,8] = 2^3 ; E [464,8] = [x^2+2*x-1, [1,0,x,0,-1]]; bsd[464,9] = 1 ; deg[464,9] = 1 ; dsc[464,9] = 2^3 ; E [464,9] = [x^2-2*x-1, [1,0,x,0,2*x-3]]; bsd[464,10] = 1 ; deg[464,10] = 1 ; dsc[464,10] = 2^3*71 ; E [464,10] = [x^3+2*x^2-5*x-8, [1,0,x,0,-x^2+6]]; bsd[465,1] = 0 ; deg[465,1] = 1 ; dsc[465,1] = 1 ; E [465,1] = [x, [1,-1,1,-1,1]]; bsd[465,2] = 0 ; deg[465,2] = 3 ; dsc[465,2] = 1 ; E [465,2] = [x, [1,1,-1,-1,1]]; bsd[465,3] = 0 ; deg[465,3] = 23 ; dsc[465,3] = 2^3 ; E [465,3] = [x^2+2*x-1, [1,x,1,-2*x-1,-1]]; bsd[465,4] = 0 ; deg[465,4] = 3*11 ; dsc[465,4] = 2^2*3 ; E [465,4] = [x^2-3, [1,x,-1,1,-1]]; bsd[465,5] = 1 ; deg[465,5] = 3*41 ; dsc[465,5] = 2^2*3*47 ; E [465,5] = [x^3-x^2-5*x+3, [1,x,-1,x^2-2,-1]]; bsd[465,6] = 5 ; deg[465,6] = 5^2 ; dsc[465,6] = 2^2*37 ; E [465,6] = [x^3-x^2-3*x+1, [1,x,1,x^2-2,1]]; bsd[465,7] = 5 ; deg[465,7] = 5*29 ; dsc[465,7] = 2^2*37 ; E [465,7] = [x^3-3*x^2-x+5, [1,x,1,x^2-2,-1]]; bsd[465,8] = 59 ; deg[465,8] = 29*59 ; dsc[465,8] = 2^4*29*73 ; E [465,8] = [x^4-2*x^3-6*x^2+12*x-1, [1,x,-1,x^2-2,1]]; bsd[466,1] = 1 ; deg[466,1] = 5 ; dsc[466,1] = 1 ; E [466,1] = [x, [1,-1,2,1,0]]; bsd[466,2] = 1/3 ; deg[466,2] = 1 ; dsc[466,2] = 1 ; E [466,2] = [x, [1,1,1,1,0]]; bsd[466,3] = 1 ; deg[466,3] = 5*733 ; dsc[466,3] = 13^2 ; E [466,3] = [x^3+2*x^2-3*x-5, [1,-1,x,1,x^2+x-1]]; bsd[466,4] = 0 ; deg[466,4] = 211 ; dsc[466,4] = 7^2 ; E [466,4] = [x^3+4*x^2+3*x-1, [1,1,x,1,-x^2-3*x-3]]; bsd[466,5] = 0 ; deg[466,5] = 257 ; dsc[466,5] = 2^3*47*313 ; E [466,5] = [x^5-8*x^3+x^2+5*x-1, [5,-5,5*x,5,5*x^4-40*x^2+15]]; bsd[466,6] = 1699/13 ; deg[466,6] = 1699 ; dsc[466,6] = 2^3*3^2*17^3*353 ; E [466,6] = [x^6-x^5-13*x^4+10*x^3+43*x^2-12*x-36, [12,12,12*x,12,3*x^5-9*x^4-33*x^3+84*x^2+57*x-78]]; bsd[467,1] = 0 ; deg[467,1] = 17 ; dsc[467,1] = 1 ; E [467,1] = [x, [1,0,-3,-2,2]]; bsd[467,2] = 0 ; deg[467,2] = 17 ; dsc[467,2] = 32432206859088781 ; E [467,2] = [x^12+5*x^11-3*x^10-46*x^9-28*x^8+144*x^7+140*x^6-182*x^5-197*x^4+102*x^3+104*x^2-22*x-17, [7,7*x,-3*x^11-10*x^10+28*x^9+103*x^8-97*x^7-387*x^6+155*x^5+633*x^4-114*x^3-417*x^2+40*x+81,7*x^2-14,7*x^6+21*x^5-21*x^4-91*x^3-21*x^2+56*x+14]]; bsd[467,3] = 1/233 ; deg[467,3] = 1 ; dsc[467,3] = 2^9*1212648089519*6296651104824906148358708614333895055221783 ; E [467,3] = [x^26-5*x^25-30*x^24+181*x^23+338*x^22-2813*x^21-1420*x^20+24571*x^19-4052*x^18-132574*x^17+73889*x^16+457016*x^15-370842*x^14-1004824*x^13+992642*x^12+1361654*x^11-1526411*x^10-1049992*x^9+1309411*x^8+383566*x^7-569750*x^6-29300*x^5+105328*x^4-5888*x^3-6944*x^2+448*x+128, [381903588083879883328,381903588083879883328*x,-20726664122746789758*x^25+102778462327042983682*x^24+640153010816021075224*x^23-3765809513089141432278*x^22-7677447890317148997240*x^21+59461731520805704997726*x^20+40061535265894884290324*x^19-530542007455243196843242*x^18-11527246293851209886860*x^17+2947350451173392159305252*x^16-992730836429716106045326*x^15-10589080411897002482950676*x^14+5695514056373752791385564*x^13+24743057003540198961273776*x^12-15695402348202127164605804*x^11-36847120901086292021901676*x^10+23805980521862210254536594*x^9+33259062196480090519536028*x^8-19262717446456768567248154*x^7-16469187859084251587795336*x^6+7346633828024843920804236*x^5+3609035880998649253393464*x^4-1080326063539033556669520*x^3-300888846260465911745552*x^2+41531258985286248796160*x+7039335801804030371136,381903588083879883328*x^2-763807176167759766656,-8058368862605944686*x^25+31526904926750379830*x^24+274406064850633782012*x^23-1157303006041918757006*x^22-3916420393510693166364*x^21+18304118609602370546014*x^20+30191440294675798373192*x^19-163514294072893514753346*x^18-133561611836019204324504*x^17+908705485847998920781020*x^16+319320078111164427277938*x^15-3261241658203985895339024*x^14-251935760295304413897612*x^13+7595378649383836076177520*x^12-591430778348156292039404*x^11-11240226050300107625115540*x^10+1646046477772035904126890*x^9+10057930850163735238764016*x^8-1457462230288188869070402*x^7-4965450784958197934020276*x^6+458178453523417960433900*x^5+1135462311935475033779112*x^4-34841624497326374429200*x^3-103822965048946753923616*x^2+437762421203378668032*x+2432275187103422265600]]; bsd[468,1] = 1 ; deg[468,1] = 3^2 ; dsc[468,1] = 1 ; E [468,1] = [x, [1,0,0,0,-4]]; bsd[468,2] = 0 ; deg[468,2] = 3 ; dsc[468,2] = 1 ; E [468,2] = [x, [1,0,0,0,-2]]; bsd[468,3] = 1 ; deg[468,3] = 3 ; dsc[468,3] = 1 ; E [468,3] = [x, [1,0,0,0,0]]; bsd[468,4] = 1 ; deg[468,4] = 3 ; dsc[468,4] = 1 ; E [468,4] = [x, [1,0,0,0,4]]; bsd[468,5] = 3 ; deg[468,5] = 3 ; dsc[468,5] = 1 ; E [468,5] = [x, [1,0,0,0,4]]; bsd[469,1] = 0 ; deg[469,1] = 1 ; dsc[469,1] = 1 ; E [469,1] = [x, [1,-1,-3,-1,1]]; bsd[469,2] = 0 ; deg[469,2] = 5 ; dsc[469,2] = 1 ; E [469,2] = [x, [1,1,1,-1,-3]]; bsd[469,3] = 1 ; deg[469,3] = 3^2 ; dsc[469,3] = 17 ; E [469,3] = [x^2-x-4, [1,x,-x,x+2,x-2]]; bsd[469,4] = 1 ; deg[469,4] = 1 ; dsc[469,4] = 17 ; E [469,4] = [x^2+x-4, [1,1,x,-1,x]]; bsd[469,5] = 0 ; deg[469,5] = 17 ; dsc[469,5] = 3^4 ; E [469,5] = [x^3+3*x^2-3, [1,x,-x-2,x^2-2,x^2+2*x]]; bsd[469,6] = 0 ; deg[469,6] = 5^2*17 ; dsc[469,6] = 2^2*37 ; E [469,6] = [x^3+x^2-3*x-1, [1,x,-x^2+2,x^2-2,-3]]; bsd[469,7] = 0 ; deg[469,7] = 3^2 ; dsc[469,7] = 813209 ; E [469,7] = [x^5-2*x^4-5*x^3+9*x^2+3*x-4, [1,x,-x,x^2-2,-x^2+2]]; bsd[469,8] = 61/17 ; deg[469,8] = 3^2*61 ; dsc[469,8] = 2^2*11*47*491*4099 ; E [469,8] = [x^7-x^6-12*x^5+9*x^4+43*x^3-17*x^2-44*x-11, [4,4*x,x^6-12*x^4+x^3+36*x^2-5*x-9,4*x^2-8,-x^6-2*x^5+10*x^4+21*x^3-20*x^2-51*x-9]]; bsd[469,9] = 1 ; deg[469,9] = 3*71 ; dsc[469,9] = 2^4*3*46153*9188219 ; E [469,9] = [x^9+x^8-13*x^7-10*x^6+53*x^5+28*x^4-69*x^3-12*x^2+12*x+1, [4,4*x,2*x^6-20*x^4+6*x^3+48*x^2-22*x-6,4*x^2-8,-x^8-2*x^7+13*x^6+21*x^5-56*x^4-62*x^3+81*x^2+39*x-9]]; bsd[470,1] = 0 ; deg[470,1] = 7 ; dsc[470,1] = 1 ; E [470,1] = [x, [1,-1,-1,1,1]]; bsd[470,2] = 0 ; deg[470,2] = 1 ; dsc[470,2] = 1 ; E [470,2] = [x, [1,-1,1,1,-1]]; bsd[470,3] = 1/3 ; deg[470,3] = 5 ; dsc[470,3] = 1 ; E [470,3] = [x, [1,-1,1,1,1]]; bsd[470,4] = 0 ; deg[470,4] = 3*7 ; dsc[470,4] = 1 ; E [470,4] = [x, [1,1,-3,1,1]]; bsd[470,5] = 0 ; deg[470,5] = 1 ; dsc[470,5] = 1 ; E [470,5] = [x, [1,1,-1,1,-1]]; bsd[470,6] = 1/3 ; deg[470,6] = 5 ; dsc[470,6] = 1 ; E [470,6] = [x, [1,1,1,1,-1]]; bsd[470,7] = 1 ; deg[470,7] = 5*43 ; dsc[470,7] = 3*7 ; E [470,7] = [x^2-x-5, [1,-1,x,1,1]]; bsd[470,8] = 1/3 ; deg[470,8] = 5*31 ; dsc[470,8] = 3^3*31 ; E [470,8] = [x^3-6*x-1, [1,-1,x,1,-1]]; bsd[470,9] = 1 ; deg[470,9] = 23 ; dsc[470,9] = 229 ; E [470,9] = [x^3-2*x^2-4*x+7, [1,1,x,1,1]]; bsd[470,10] = 227 ; deg[470,10] = 3*5*227 ; dsc[470,10] = 1373 ; E [470,10] = [x^3-3*x^2-5*x+12, [1,1,x,1,-1]]; bsd[471,1] = 0 ; deg[471,1] = 1 ; dsc[471,1] = 1 ; E [471,1] = [x, [1,-1,-1,-1,-2]]; bsd[471,2] = 0 ; deg[471,2] = 19 ; dsc[471,2] = 5 ; E [471,2] = [x^2+x-1, [1,x,1,-x-1,-1]]; bsd[471,3] = 0 ; deg[471,3] = 53 ; dsc[471,3] = 229 ; E [471,3] = [x^3-4*x+1, [1,x,-1,x^2-2,-x^2-x+2]]; bsd[471,4] = 1 ; deg[471,4] = 7*983 ; dsc[471,4] = 2^6*530359*711427 ; E [471,4] = [x^9-2*x^8-11*x^7+19*x^6+39*x^5-53*x^4-49*x^3+45*x^2+14*x-1, [59,59*x,-59,59*x^2-118,-8*x^8+41*x^7+41*x^6-376*x^5+37*x^4+950*x^3-143*x^2-599*x-47]]; bsd[471,5] = 3851/79 ; deg[471,5] = 3851 ; dsc[471,5] = 2^12*2210674555382467397 ; E [471,5] = [x^12+x^11-20*x^10-17*x^9+149*x^8+106*x^7-500*x^6-294*x^5+711*x^4+349*x^3-290*x^2-173*x-15, [2,2*x,2,2*x^2-4,2*x^11-42*x^9+2*x^8+324*x^7-28*x^6-1106*x^5+128*x^4+1552*x^3-200*x^2-570*x-50]]; bsd[472,1] = 0 ; deg[472,1] = 5 ; dsc[472,1] = 1 ; E [472,1] = [x, [1,0,-3,0,-1]]; bsd[472,2] = 0 ; deg[472,2] = 1 ; dsc[472,2] = 1 ; E [472,2] = [x, [1,0,-1,0,-1]]; bsd[472,3] = 1 ; deg[472,3] = 3 ; dsc[472,3] = 1 ; E [472,3] = [x, [1,0,-1,0,-1]]; bsd[472,4] = 1 ; deg[472,4] = 3 ; dsc[472,4] = 1 ; E [472,4] = [x, [1,0,2,0,2]]; bsd[472,5] = 1 ; deg[472,5] = 7 ; dsc[472,5] = 1 ; E [472,5] = [x, [1,0,3,0,-3]]; bsd[472,6] = 0 ; deg[472,6] = 5 ; dsc[472,6] = 11*619 ; E [472,6] = [x^4+x^3-5*x^2+1, [1,0,x,0,x^3+x^2-6*x-1]]; bsd[472,7] = 1 ; deg[472,7] = 7 ; dsc[472,7] = 7*677*194443 ; E [472,7] = [x^6+x^5-15*x^4-16*x^3+51*x^2+30*x-56, [2,0,2*x,0,2*x^4-24*x^2-8*x+44]]; bsd[473,1] = 0 ; deg[473,1] = 3*17 ; dsc[473,1] = 1 ; E [473,1] = [x, [1,-2,1,2,-1]]; bsd[473,2] = 0 ; deg[473,2] = 5*11 ; dsc[473,2] = 5 ; E [473,2] = [x^2+x-1, [1,x+1,-2,x,-2*x]]; bsd[473,3] = 0 ; deg[473,3] = 5*19 ; dsc[473,3] = 5 ; E [473,3] = [x^2+2*x-4, [2,-x,2*x,-x-2,-2*x]]; bsd[473,4] = 0 ; deg[473,4] = 19*23 ; dsc[473,4] = 167*1039 ; E [473,4] = [x^5+3*x^4-4*x^3-13*x^2+3*x+9, [3,3*x,-2*x^4-3*x^3+11*x^2+8*x-12,3*x^2-6,x^4-7*x^2-x+3]]; bsd[473,5] = 0 ; deg[473,5] = 11*17 ; dsc[473,5] = 38569 ; E [473,5] = [x^5-x^4-6*x^3+5*x^2+x-1, [1,x,2*x^4-x^3-13*x^2+4*x+4,x^2-2,-5*x^4+2*x^3+31*x^2-7*x-9]]; bsd[473,6] = 3^2/11 ; deg[473,6] = 3^2*19 ; dsc[473,6] = 2^2*23*3517*59204933 ; E [473,6] = [x^9-4*x^8-5*x^7+36*x^6-20*x^5-65*x^4+66*x^3+4*x^2-8*x+1, [1,x,x^8-3*x^7-7*x^6+27*x^5-2*x^4-49*x^3+33*x^2+4*x-3,x^2-2,-5*x^8+18*x^7+31*x^6-165*x^5+45*x^4+320*x^3-224*x^2-69*x+21]]; bsd[473,7] = 1/3 ; deg[473,7] = 113 ; dsc[473,7] = 2^2*3^5*20962230428908381 ; E [473,7] = [x^11+x^10-17*x^9-15*x^8+102*x^7+77*x^6-255*x^5-150*x^4+248*x^3+59*x^2-93*x+18, [18,18*x,-19*x^10-22*x^9+311*x^8+336*x^7-1758*x^6-1769*x^5+3930*x^4+3606*x^3-2930*x^2-1829*x+816,18*x^2-36,-14*x^10-20*x^9+232*x^8+312*x^7-1338*x^6-1672*x^5+3090*x^4+3432*x^3-2428*x^2-1756*x+750]]; bsd[474,1] = 0 ; deg[474,1] = 3*7 ; dsc[474,1] = 1 ; E [474,1] = [x, [1,-1,-1,1,2]]; bsd[474,2] = 0 ; deg[474,2] = 5 ; dsc[474,2] = 1 ; E [474,2] = [x, [1,-1,1,1,-2]]; bsd[474,3] = 1 ; deg[474,3] = 5^2*7 ; dsc[474,3] = 29 ; E [474,3] = [x^2+x-7, [1,-1,-1,1,x]]; bsd[474,4] = 5 ; deg[474,4] = 5*139 ; dsc[474,4] = 5 ; E [474,4] = [x^2-3*x+1, [1,-1,1,1,x]]; bsd[474,5] = 7 ; deg[474,5] = 7*13 ; dsc[474,5] = 229 ; E [474,5] = [x^3-3*x^2-x+2, [1,1,1,1,x]]; bsd[474,6] = 139 ; deg[474,6] = 3^2*139 ; dsc[474,6] = 151717 ; E [474,6] = [x^4-x^3-19*x^2+20*x-4, [4,4,-4,4,4*x]]; bsd[475,1] = 0 ; deg[475,1] = 1 ; dsc[475,1] = 1 ; E [475,1] = [x, [1,-1,0,-1,0]]; bsd[475,2] = 1 ; deg[475,2] = 3^2 ; dsc[475,2] = 1 ; E [475,2] = [x, [1,0,2,-2,0]]; bsd[475,3] = 0 ; deg[475,3] = 5 ; dsc[475,3] = 1 ; E [475,3] = [x, [1,1,0,-1,0]]; bsd[475,4] = 0 ; deg[475,4] = 3^3 ; dsc[475,4] = 7^2 ; E [475,4] = [x^3+4*x^2+3*x-1, [1,x,x^2+3*x,x^2-2,0]]; bsd[475,5] = 0 ; deg[475,5] = 3^3*5 ; dsc[475,5] = 13^2 ; E [475,5] = [x^3+2*x^2-3*x-5, [1,x,-x^2-x+2,x^2-2,0]]; bsd[475,6] = 0 ; deg[475,6] = 3^3 ; dsc[475,6] = 2^2*37 ; E [475,6] = [x^3+x^2-3*x-1, [1,x,x^2-3,x^2-2,0]]; bsd[475,7] = 1/5 ; deg[475,7] = 3^3*5 ; dsc[475,7] = 13^2 ; E [475,7] = [x^3-2*x^2-3*x+5, [1,x,x^2-x-2,x^2-2,0]]; bsd[475,8] = 1 ; deg[475,8] = 3^3*5^3 ; dsc[475,8] = 7^2 ; E [475,8] = [x^3-4*x^2+3*x+1, [1,x,-x^2+3*x,x^2-2,0]]; bsd[475,9] = 1 ; deg[475,9] = 3^5 ; dsc[475,9] = 2^4*709 ; E [475,9] = [x^4-2*x^3-6*x^2+8*x+9, [1,x,-x^3+5*x+2,x^2-2,0]]; bsd[475,10] = 1 ; deg[475,10] = 5^3 ; dsc[475,10] = 2^12*127^2 ; E [475,10] = [x^6-10*x^4+27*x^2-16, [4,4*x,-2*x^5+16*x^3-26*x,4*x^2-8,0]]; bsd[476,1] = 0 ; deg[476,1] = 3^2*13 ; dsc[476,1] = 13 ; E [476,1] = [x^2+3*x-1, [1,0,x,0,-x-3]]; bsd[476,2] = 0 ; deg[476,2] = 3^2 ; dsc[476,2] = 5 ; E [476,2] = [x^2+x-1, [1,0,x,0,-x-1]]; bsd[476,3] = 3 ; deg[476,3] = 3^2*23 ; dsc[476,3] = 13 ; E [476,3] = [x^2+x-3, [1,0,x,0,x+1]]; bsd[476,4] = 1 ; deg[476,4] = 3^2 ; dsc[476,4] = 13 ; E [476,4] = [x^2-x-3, [1,0,x,0,x-1]]; bsd[477,1] = 0 ; deg[477,1] = 7 ; dsc[477,1] = 1 ; E [477,1] = [x, [1,1,0,-1,0]]; bsd[477,2] = 1 ; deg[477,2] = 107 ; dsc[477,2] = 2^2*37 ; E [477,2] = [x^3-x^2-3*x+1, [1,x,0,x^2-2,-x^2+3]]; bsd[477,3] = 0 ; deg[477,3] = 3 ; dsc[477,3] = 19*103 ; E [477,3] = [x^4+3*x^3-x^2-5*x+1, [1,x,0,x^2-2,-x^3-3*x^2+2]]; bsd[477,4] = 0 ; deg[477,4] = 7 ; dsc[477,4] = 19*103 ; E [477,4] = [x^4+3*x^3-x^2-7*x-3, [1,x,0,x^2-2,-x^3-x^2+2*x]]; bsd[477,5] = 1 ; deg[477,5] = 3^3 ; dsc[477,5] = 19*103 ; E [477,5] = [x^4-3*x^3-x^2+5*x+1, [1,x,0,x^2-2,-x^3+3*x^2-2]]; bsd[477,6] = 1 ; deg[477,6] = 107 ; dsc[477,6] = 1054013 ; E [477,6] = [x^5-10*x^3+22*x-5, [3,3*x,0,3*x^2-6,-3*x^3+3*x^2+18*x-12]]; bsd[478,1] = 0 ; deg[478,1] = 13 ; dsc[478,1] = 5*29^2 ; E [478,1] = [x^4+2*x^3-4*x^2-5*x-1, [1,-1,x,1,-x^3-2*x^2+4*x+3]]; bsd[478,2] = 0 ; deg[478,2] = 11*829 ; dsc[478,2] = 5^2*29 ; E [478,2] = [x^4+6*x^3+10*x^2+3*x-1, [1,1,x,1,-x^3-4*x^2-4*x-3]]; bsd[478,3] = 29/5 ; deg[478,3] = 29 ; dsc[478,3] = 5*79777 ; E [478,3] = [x^5-2*x^4-6*x^3+11*x^2+7*x-12, [1,1,x,1,-x^4+x^3+6*x^2-3*x-6]]; bsd[478,4] = 1 ; deg[478,4] = 97*7643 ; dsc[478,4] = 2^3*11^2*9431 ; E [478,4] = [x^6-2*x^5-12*x^4+19*x^3+35*x^2-32*x-32, [124,-124,124*x,124,16*x^5-68*x^4-132*x^3+632*x^2+68*x-696]]; bsd[479,1] = 0 ; deg[479,1] = 1 ; dsc[479,1] = 13*17*1861*4021 ; E [479,1] = [x^8+2*x^7-6*x^6-11*x^5+10*x^4+17*x^3-4*x^2-7*x-1, [1,x,-x^6-x^5+6*x^4+3*x^3-9*x^2-x+2,x^2-2,x^7+2*x^6-6*x^5-10*x^4+11*x^3+12*x^2-7*x-3]]; bsd[479,2] = 1/239 ; deg[479,2] = 1 ; dsc[479,2] = 28745083*41556253*1202203127423*201529385024397103*7037463122648759781611869895003 ; E [479,2] = [x^32-3*x^31-49*x^30+150*x^29+1068*x^28-3349*x^27-13663*x^26+44102*x^25+114017*x^24-381227*x^23-652363*x^22+2278423*x^21+2617329*x^20-9659993*x^19-7391907*x^18+29333039*x^17+14485613*x^16-63589225*x^15-18892591*x^14+96842403*x^13+14744217*x^12-100301909*x^11-4507611*x^10+66698107*x^9-2210691*x^8-25684834*x^7+2153748*x^6+4689118*x^5-470371*x^4-268239*x^3+38414*x^2-242*x-7, [129898672517437825926381972477387781975273791,129898672517437825926381972477387781975273791*x,594648971532753466112437954971735874053255*x^31-1581786056233368506203882485282172715624889*x^30-29423407168504859402794049874143934460430130*x^29+79050272045494830678253891725500988089866665*x^28+648819969543095147878911912532805997578713920*x^27-1763900618132356022964033999573659030577089127*x^26-8417533322879146179223112757858714856596350040*x^25+23212456078760365877107024247317186507554645870*x^24+71450963574026732023449102145328861552856917796*x^23-200495464833753224046291138499745450092497787776*x^22-417488891368385633906168484420705836021480604432*x^21+1197205401603988579127350649533192400001284360520*x^20+1719756517273359216716428959680191883056419225657*x^19-5070941465837958606180169691829187963581408975816*x^18-5025900501951919662095041375183093632702280234662*x^17+15382696102385344280713070431732036719856710811044*x^16+10321592803713633762273534207948116133819869191308*x^15-33315862483743991666637028308379249779720495067144*x^14-14456491567042921977141729337427336137087535760540*x^13+50701755657048090525879105937183763598019309314852*x^12+12901684707992272202390803852488172673884318917408*x^11-52499443454245183681719272880917577507045482865528*x^10-6128064376644340693430482136279738492337985299300*x^9+34928792994661263891188389904509193646352926388056*x^8+406040222502678205058506645275819727550962236996*x^7-13476058509323921707022703261266022222351356263392*x^6+843963432125332466007464154660850080442455466293*x^5+2475101478587315915012846529695654097968657831412*x^4-239930175269313944123889803004559822089709551543*x^3-147134381451772915577178165975600393292654162464*x^2+20030204393299159954687327665177083713630512069*x-102839837509540903795424056603393626549815952,129898672517437825926381972477387781975273791*x^2-259797345034875651852763944954775563950547582,1030105604896516974940885442342379089765492*x^31-3338000639463150696895674393852488296302298*x^30-50429320795341699118544069525986004391479670*x^29+167417895026252911878166801688436684356500752*x^28+1098050266656135760968703369933055954488731774*x^27-3750686606524400969987598660826590583610644712*x^26-14032365504015299710711177186834310656280776876*x^25+49576635850813876832395740605289511049252826381*x^24+116973049242727452048649425619293532752323463715*x^23-430281124355003654108277871348250363553314021193*x^22-668641510061650817104793525941426808819109264827*x^21+2582581511958197675263990515497397986261997292647*x^20+2681178546685931842640869978038473068025229412365*x^19-10997779365948658490927696482207501028395154681617*x^18-7575360009401530379828330698820606453620559620879*x^17+33541872167500848056578240102548625243280723287302*x^16+14883032656579732150049775217028269497541680049933*x^15-73017443321641907979369233529520666070507300508769*x^14-19559326970243750803920705123344846233497369900903*x^13+111618646580675719044440386587130698610355461542303*x^12+15616553331399372175515584917552044111846720744381*x^11-115964646863067456762011068730668892524304436220009*x^10-5371010664578784005059237228169897864834237463640*x^9+77286029066713307088989388520670730962035104264283*x^8-1601787848097641684775938620818224565657311285681*x^7-29795466629630781985081882843302958989415910209093*x^6+1869294067690646598011248460941001048571044983943*x^5+5432979658478713378478506089123610568263759019401*x^4-396715575562450542816245018067676245145734487975*x^3-305141344630307815215516650185743233364727682527*x^2+36452793386099847468612147715736971557064166397*x-123662975306465908677471551590750265568588037]]; bsd[480,1] = 1 ; deg[480,1] = 3 ; dsc[480,1] = 1 ; E [480,1] = [x, [1,0,-1,0,-1]]; bsd[480,2] = 0 ; deg[480,2] = 1 ; dsc[480,2] = 1 ; E [480,2] = [x, [1,0,-1,0,-1]]; bsd[480,3] = 0 ; deg[480,3] = 1 ; dsc[480,3] = 1 ; E [480,3] = [x, [1,0,-1,0,1]]; bsd[480,4] = 1 ; deg[480,4] = 1 ; dsc[480,4] = 1 ; E [480,4] = [x, [1,0,-1,0,1]]; bsd[480,5] = 1 ; deg[480,5] = 1 ; dsc[480,5] = 1 ; E [480,5] = [x, [1,0,1,0,-1]]; bsd[480,6] = 3 ; deg[480,6] = 3 ; dsc[480,6] = 1 ; E [480,6] = [x, [1,0,1,0,-1]]; bsd[480,7] = 1 ; deg[480,7] = 1 ; dsc[480,7] = 1 ; E [480,7] = [x, [1,0,1,0,1]]; bsd[480,8] = 1 ; deg[480,8] = 1 ; dsc[480,8] = 1 ; E [480,8] = [x, [1,0,1,0,1]]; bsd[481,1] = 0 ; deg[481,1] = 3*19 ; dsc[481,1] = 1 ; E [481,1] = [x, [1,1,0,-1,-2]]; bsd[481,2] = 0 ; deg[481,2] = 19 ; dsc[481,2] = 77004029 ; E [481,2] = [x^7+5*x^6+2*x^5-21*x^4-25*x^3+8*x^2+13*x-2, [1,x,-4*x^6-15*x^5+10*x^4+69*x^3+15*x^2-42*x+5,x^2-2,-3*x^6-11*x^5+10*x^4+54*x^3-41*x+8]]; bsd[481,3] = 0 ; deg[481,3] = 3 ; dsc[481,3] = 3^3*7408087 ; E [481,3] = [x^7+x^6-8*x^5-7*x^4+17*x^3+12*x^2-9*x-6, [1,x,-2*x^6-x^5+16*x^4+5*x^3-33*x^2-2*x+13,x^2-2,x^6+x^5-8*x^4-6*x^3+16*x^2+5*x-6]]; bsd[481,4] = 1/7 ; deg[481,4] = 5 ; dsc[481,4] = 2^8*5^2*619*1087*570558773 ; E [481,4] = [x^11-3*x^10-14*x^9+45*x^8+64*x^7-237*x^6-99*x^5+529*x^4-7*x^3-460*x^2+67*x+110, [172,172*x,-26*x^10+68*x^9+324*x^8-794*x^7-1374*x^6+2736*x^5+2806*x^4-2884*x^3-3150*x^2+574*x+1072,172*x^2-344,-8*x^10+54*x^9-26*x^8-542*x^7+1112*x^6+1166*x^5-4978*x^4+912*x^3+6956*x^2-2238*x-2700]]; bsd[481,5] = 1/19 ; deg[481,5] = 1 ; dsc[481,5] = 2^6*11551*171103*13629281 ; E [481,5] = [x^11-3*x^10-12*x^9+39*x^8+38*x^7-149*x^6-23*x^5+175*x^4-5*x^3-48*x^2+5*x+2, [8,8*x,-10*x^10+20*x^9+128*x^8-258*x^7-482*x^6+960*x^5+586*x^4-1040*x^3-278*x^2+202*x+20,8*x^2-16,-2*x^10+10*x^9+22*x^8-128*x^7-54*x^6+474*x^5-500*x^3-26*x^2+72*x+8]]; bsd[482,1] = 0 ; deg[482,1] = 7 ; dsc[482,1] = 1 ; E [482,1] = [x, [1,-1,-2,1,-1]]; bsd[482,2] = 0 ; deg[482,2] = 5*11 ; dsc[482,2] = 5 ; E [482,2] = [x^2+3*x+1, [1,1,-1,1,x]]; bsd[482,3] = 0 ; deg[482,3] = 13 ; dsc[482,3] = 229 ; E [482,3] = [x^3+2*x^2-5*x-2, [2,-2,2*x,2,-x^2-3*x+4]]; bsd[482,4] = 1/3 ; deg[482,4] = 11863 ; dsc[482,4] = 2^6*5*410491 ; E [482,4] = [x^6-2*x^5-10*x^4+16*x^3+26*x^2-30*x-13, [2,-2,2*x,2,x^5-x^4-9*x^3+3*x^2+17*x+1]]; bsd[482,5] = 3761/11^2 ; deg[482,5] = 3761 ; dsc[482,5] = 2^9*3*242737719691 ; E [482,5] = [x^9-4*x^8-12*x^7+58*x^6+24*x^5-252*x^4+97*x^3+336*x^2-244*x-16, [16,16,16*x,16,15*x^8-39*x^7-237*x^6+547*x^5+1149*x^4-2273*x^3-1744*x^2+2868*x+240]]; bsd[483,1] = 1 ; deg[483,1] = 5 ; dsc[483,1] = 1 ; E [483,1] = [x, [1,2,1,2,0]]; bsd[483,2] = 5 ; deg[483,2] = 3*5^2 ; dsc[483,2] = 1 ; E [483,2] = [x, [1,2,1,2,4]]; bsd[483,3] = 0 ; deg[483,3] = 5*59 ; dsc[483,3] = 5 ; E [483,3] = [x^2+3*x+1, [1,x,1,-3*x-3,x-1]]; bsd[483,4] = 0 ; deg[483,4] = 3^2 ; dsc[483,4] = 5 ; E [483,4] = [x^2+x-1, [1,-x-1,-1,x,-x]]; bsd[483,5] = 1 ; deg[483,5] = 5*11 ; dsc[483,5] = 5 ; E [483,5] = [x^2+x-1, [1,-x-1,1,x,-x+2]]; bsd[483,6] = 0 ; deg[483,6] = 3*13 ; dsc[483,6] = 13 ; E [483,6] = [x^2+x-3, [1,x,1,-x+1,-x-3]]; bsd[483,7] = 0 ; deg[483,7] = 11 ; dsc[483,7] = 5 ; E [483,7] = [x^2-x-1, [1,x,-1,x-1,-x-1]]; bsd[483,8] = 5 ; deg[483,8] = 3*5^2 ; dsc[483,8] = 3^3*31 ; E [483,8] = [x^3-6*x-1, [1,x,1,x^2-2,-x+1]]; bsd[483,9] = 1 ; deg[483,9] = 167 ; dsc[483,9] = 24197 ; E [483,9] = [x^4-6*x^2+x+2, [1,x,-1,x^2-2,x^3-5*x+2]]; bsd[483,10] = 1 ; deg[483,10] = 19*43 ; dsc[483,10] = 17^2*53 ; E [483,10] = [x^4-2*x^3-4*x^2+5*x+2, [1,x,-1,x^2-2,-x^3+2*x^2+3*x-2]]; bsd[484,1] = 0 ; deg[484,1] = 3*5 ; dsc[484,1] = 1 ; E [484,1] = [x, [1,0,1,0,-3]]; bsd[484,2] = 1 ; deg[484,2] = 3^2*5*11^2 ; dsc[484,2] = 5 ; E [484,2] = [x^2+x-11, [3,0,x-4,0,x-1]]; bsd[484,3] = 0 ; deg[484,3] = 3^2*5 ; dsc[484,3] = 5 ; E [484,3] = [x^2-x-11, [3,0,-x-4,0,-x-1]]; bsd[484,4] = 3 ; deg[484,4] = 3^3*11 ; dsc[484,4] = 3*11 ; E [484,4] = [x^2-x-8, [1,0,x,0,-x+2]]; bsd[484,5] = 3 ; deg[484,5] = 3^3*11 ; dsc[484,5] = 2^2*3 ; E [484,5] = [x^2-12, [2,0,4,0,6]]; bsd[485,1] = 1/3 ; deg[485,1] = 5*7 ; dsc[485,1] = 1 ; E [485,1] = [x, [1,0,-2,-2,-1]]; bsd[485,2] = 0 ; deg[485,2] = 3 ; dsc[485,2] = 1 ; E [485,2] = [x, [1,0,0,-2,1]]; bsd[485,3] = 1 ; deg[485,3] = 5*11 ; dsc[485,3] = 5 ; E [485,3] = [x^2-5, [2,2*x,x+1,6,-2]]; bsd[485,4] = 7 ; deg[485,4] = 5*7 ; dsc[485,4] = 29 ; E [485,4] = [x^2-x-7, [1,1,x,-1,1]]; bsd[485,5] = 1 ; deg[485,5] = 5*71 ; dsc[485,5] = 2^3*71 ; E [485,5] = [x^3+2*x^2-5*x-8, [1,x,2,x^2-2,1]]; bsd[485,6] = 0 ; deg[485,6] = 3*59 ; dsc[485,6] = 19*103 ; E [485,6] = [x^4+x^3-4*x^2-2*x+3, [1,x,-x^3-x^2+2*x,x^2-2,1]]; bsd[485,7] = 43/7^2 ; deg[485,7] = 43*71 ; dsc[485,7] = 3^3*389*919 ; E [485,7] = [x^6+x^5-9*x^4-9*x^3+17*x^2+14*x+1, [4,4*x,-x^5-2*x^4+11*x^3+12*x^2-25*x-7,4*x^2-8,4]]; bsd[485,8] = 0 ; deg[485,8] = 83 ; dsc[485,8] = 2^2*213489959 ; E [485,8] = [x^7+x^6-9*x^5-7*x^4+23*x^3+12*x^2-15*x-8, [1,x,x^6-9*x^4+x^3+22*x^2-5*x-12,x^2-2,-1]]; bsd[485,9] = 1 ; deg[485,9] = 7*31 ; dsc[485,9] = 7^2*6263*59887 ; E [485,9] = [x^7-2*x^6-10*x^5+18*x^4+26*x^3-35*x^2-21*x+7, [4,4*x,x^6+x^5-11*x^4-11*x^3+29*x^2+24*x-1,4*x^2-8,-4]]; bsd[486,1] = 0 ; deg[486,1] = 3^2 ; dsc[486,1] = 1 ; E [486,1] = [x, [1,-1,0,1,-3]]; bsd[486,2] = 0 ; deg[486,2] = 3^2 ; dsc[486,2] = 1 ; E [486,2] = [x, [1,-1,0,1,0]]; bsd[486,3] = 1/3 ; deg[486,3] = 3^3 ; dsc[486,3] = 1 ; E [486,3] = [x, [1,-1,0,1,3]]; bsd[486,4] = 0 ; deg[486,4] = 3^3 ; dsc[486,4] = 1 ; E [486,4] = [x, [1,1,0,1,-3]]; bsd[486,5] = 1 ; deg[486,5] = 3^2 ; dsc[486,5] = 1 ; E [486,5] = [x, [1,1,0,1,0]]; bsd[486,6] = 1 ; deg[486,6] = 3^2 ; dsc[486,6] = 1 ; E [486,6] = [x, [1,1,0,1,3]]; bsd[486,7] = 1/3 ; deg[486,7] = 3^4*17 ; dsc[486,7] = 3^6 ; E [486,7] = [x^3-9*x-9, [1,-1,0,1,x]]; bsd[486,8] = 17 ; deg[486,8] = 3^4*17 ; dsc[486,8] = 3^6 ; E [486,8] = [x^3-9*x+9, [1,1,0,1,x]]; bsd[487,1] = 1 ; deg[487,1] = 3*5^2 ; dsc[487,1] = 13 ; E [487,1] = [x^2+x-3, [1,0,x,-2,-x+1]]; bsd[487,2] = 1/3 ; deg[487,2] = 3*17 ; dsc[487,2] = 13 ; E [487,2] = [x^2-3*x-1, [1,0,x,-2,x-1]]; bsd[487,3] = 1 ; deg[487,3] = 3*19*103 ; dsc[487,3] = 257 ; E [487,3] = [x^3-5*x+3, [1,x,2,x^2-2,2]]; bsd[487,4] = 1/3^3 ; deg[487,4] = 3*5^2*17*19*103 ; dsc[487,4] = 19^2*59*623519211698413571686763 ; E [487,4] = [x^16-7*x^15-5*x^14+131*x^13-132*x^12-977*x^11+1666*x^10+3671*x^9-8191*x^8-7212*x^7+20571*x^6+6937*x^5-27100*x^4-2748*x^3+17207*x^2+360*x-3825, [105,105*x,-49*x^15+343*x^14+35*x^13-4949*x^12+6573*x^11+26873*x^10-52969*x^9-67949*x^8+172984*x^7+81648*x^6-268884*x^5-47593*x^4+190750*x^3+18207*x^2-45248*x-3885,105*x^2-210,129*x^15-828*x^14-660*x^13+13209*x^12-9363*x^11-84483*x^10+98889*x^9+282354*x^8-365829*x^7-546483*x^6+634089*x^5+638208*x^4-498120*x^3-412452*x^2+125283*x+95715]]; bsd[487,5] = 0 ; deg[487,5] = 1 ; dsc[487,5] = 2^4*109*15408475904697077364866629 ; E [487,5] = [x^17+8*x^16+7*x^15-97*x^14-239*x^13+327*x^12+1500*x^11+70*x^10-3964*x^9-2280*x^8+4849*x^7+4192*x^6-2492*x^5-2765*x^4+364*x^3+588*x^2-16, [5519352,5519352*x,2051597*x^16+13920102*x^15-2246177*x^14-194312419*x^13-255697165*x^12+952370821*x^11+1901029026*x^10-2003022582*x^9-5536487624*x^8+1594388824*x^7+7559117149*x^6+107542198*x^5-4681743608*x^4-536428025*x^3+1069616470*x^2+92469512*x-34062360,5519352*x^2-11038704,736053*x^16+4692384*x^15-2218797*x^14-66658917*x^13-70577955*x^12+337626027*x^11+564150852*x^10-762967482*x^9-1670123196*x^8+765596016*x^7+2281928013*x^6-292458072*x^5-1411614108*x^4+84133839*x^3+334608300*x^2-58014204*x-17128440]]; bsd[488,1] = 0 ; deg[488,1] = 1 ; dsc[488,1] = 2^3 ; E [488,1] = [x^2+2*x-1, [1,0,0,0,-1]]; bsd[488,2] = 0 ; deg[488,2] = 1 ; dsc[488,2] = 2^2*37 ; E [488,2] = [x^3+2*x^2-4*x-4, [2,0,2*x,0,-2*x-2]]; bsd[488,3] = 1 ; deg[488,3] = 1 ; dsc[488,3] = 2^2*13*263 ; E [488,3] = [x^4-x^3-7*x^2+4*x+8, [2,0,2*x,0,-2*x^2+2*x+6]]; bsd[488,4] = 1 ; deg[488,4] = 1 ; dsc[488,4] = 2^2*929*173081 ; E [488,4] = [x^6-3*x^5-9*x^4+26*x^3+16*x^2-52*x+16, [4,0,4*x,0,x^5-3*x^4-9*x^3+22*x^2+20*x-24]]; bsd[489,1] = 0 ; deg[489,1] = 101 ; dsc[489,1] = 5^2*29 ; E [489,1] = [x^4+2*x^3-2*x^2-3*x+1, [1,x,1,x^2-2,-x^3-x^2+x-1]]; bsd[489,2] = 0 ; deg[489,2] = 73 ; dsc[489,2] = 73*1453 ; E [489,2] = [x^5+2*x^4-4*x^3-7*x^2+3*x+4, [1,x,-1,x^2-2,x^4+x^3-5*x^2-2*x+4]]; bsd[489,3] = 1 ; deg[489,3] = 13*317 ; dsc[489,3] = 2^4*5741*1018543 ; E [489,3] = [x^8-4*x^7-6*x^6+35*x^5-86*x^3+36*x^2+39*x-19, [2,2*x,-2,2*x^2-4,-x^7+2*x^6+11*x^5-19*x^4-35*x^3+49*x^2+25*x-22]]; bsd[489,4] = 1879/41 ; deg[489,4] = 1879 ; dsc[489,4] = 2^4*7301329557370463 ; E [489,4] = [x^10-x^9-16*x^8+15*x^7+87*x^6-72*x^5-188*x^4+125*x^3+132*x^2-55*x+4, [68,68*x,68,68*x^2-136,-21*x^9+16*x^8+322*x^7-227*x^6-1656*x^5+972*x^4+3344*x^3-1369*x^2-2201*x+380]]; bsd[490,1] = 1 ; deg[490,1] = 3*7^2 ; dsc[490,1] = 1 ; E [490,1] = [x, [1,-1,-2,1,1]]; bsd[490,2] = 0 ; deg[490,2] = 3 ; dsc[490,2] = 1 ; E [490,2] = [x, [1,-1,-1,1,1]]; bsd[490,3] = 0 ; deg[490,3] = 3*7 ; dsc[490,3] = 1 ; E [490,3] = [x, [1,-1,1,1,-1]]; bsd[490,4] = 1 ; deg[490,4] = 3*7 ; dsc[490,4] = 1 ; E [490,4] = [x, [1,-1,2,1,-1]]; bsd[490,5] = 1 ; deg[490,5] = 3*5 ; dsc[490,5] = 1 ; E [490,5] = [x, [1,1,-3,1,1]]; bsd[490,6] = 0 ; deg[490,6] = 5 ; dsc[490,6] = 1 ; E [490,6] = [x, [1,1,-2,1,-1]]; bsd[490,7] = 1 ; deg[490,7] = 3*5 ; dsc[490,7] = 1 ; E [490,7] = [x, [1,1,-2,1,-1]]; bsd[490,8] = 1 ; deg[490,8] = 3 ; dsc[490,8] = 1 ; E [490,8] = [x, [1,1,0,1,1]]; bsd[490,9] = 5 ; deg[490,9] = 5*7 ; dsc[490,9] = 1 ; E [490,9] = [x, [1,1,2,1,1]]; bsd[490,10] = 3 ; deg[490,10] = 3*5*7 ; dsc[490,10] = 1 ; E [490,10] = [x, [1,1,2,1,1]]; bsd[490,11] = 1 ; deg[490,11] = 3*5*7 ; dsc[490,11] = 1 ; E [490,11] = [x, [1,1,3,1,-1]]; bsd[490,12] = 0 ; deg[490,12] = 7^2 ; dsc[490,12] = 2^3 ; E [490,12] = [x^2+4*x+2, [1,-1,x,1,-1]]; bsd[490,13] = 1 ; deg[490,13] = 7^2 ; dsc[490,13] = 2^3 ; E [490,13] = [x^2-4*x+2, [1,-1,x,1,1]]; bsd[491,1] = 0 ; deg[491,1] = 19 ; dsc[491,1] = 5 ; E [491,1] = [x^2-x-1, [1,x,-x,x-1,x-1]]; bsd[491,2] = 0 ; deg[491,2] = 19 ; dsc[491,2] = 2^2*5^5*479*5650859 ; E [491,2] = [x^10+3*x^9-7*x^8-25*x^7+10*x^6+60*x^5+3*x^4-45*x^3-2*x^2+7*x-1, [1,x,-4*x^9-14*x^8+23*x^7+115*x^6-267*x^4-100*x^3+184*x^2+61*x-21,x^2-2,6*x^9+19*x^8-38*x^7-155*x^6+27*x^5+355*x^4+95*x^3-238*x^2-66*x+25]]; bsd[491,3] = 1/5*7^2 ; deg[491,3] = 1 ; dsc[491,3] = 2^14*43*131*887*54796097920639362740205317747356273097682333252495603721 ; E [491,3] = [x^29-49*x^27+x^26+1068*x^25-39*x^24-13655*x^23+658*x^22+113723*x^21-6306*x^20-647801*x^19+37953*x^18+2578721*x^17-150115*x^16-7201417*x^15+398246*x^14+13959112*x^13-711934*x^12-18310154*x^11+839798*x^10+15574775*x^9-585854*x^8-8065060*x^7+132680*x^6+2339280*x^5+83968*x^4-350400*x^3-36608*x^2+20992*x+3584, [218089520041081175482624,218089520041081175482624*x,23108313731491005958945*x^28-9981842486334607566910*x^27-1128237043944943824602305*x^26+510789038220329400741103*x^25+24471880384502393132410990*x^24-11486392256760376002059439*x^23-310884227120062146619354149*x^22+149766715477660862260499460*x^21+2567387872825066096992801631*x^20-1257688190655496496524786316*x^19-14462925102759462326803330109*x^18+7144730506518246130810302047*x^17+56723385490790397675247041219*x^16-28062356711339419523041158657*x^15-155202108078989193851145985279*x^14+76514158289883811784043645316*x^13+292132076853842447611199133796*x^12-143159334624825542567833630254*x^11-366360632124233473386432661494*x^10+178277749863027786360727279810*x^9+289372922052299143129515027651*x^8-138970224201005011180870635536*x^7-131401909543740814609592458672*x^6+59997758211192002838953316016*x^5+30319771986827009564622345392*x^4-11176018925226785392202265408*x^3-3700107503755496414409611264*x^2+728543486713669302051447680*x+201730184636947130027650304,218089520041081175482624*x^2-436179040082162350965248,46390173195350031769459*x^28-18412823254089043170496*x^27-2265767449072243036297399*x^26+945847363434923118382099*x^25+49167822868374442228745528*x^24-21330737248031017375519769*x^23-624974105843270153900174245*x^22+278698782978840352696560962*x^21+5164987186501287486885159437*x^20-2343770840467763165567736462*x^19-29122846557622810688666145047*x^18+13327490858026602210543250555*x^17+114356044958796382283112755879*x^16-52383951831533553402571383693*x^15-313395683406478584247391816415*x^14+142939366313600867083641094030*x^13+591242890882944504771408684108*x^12-267781901969083277381573666098*x^11-744068501108395377625613923934*x^10+334253472008185370232750906266*x^9+591174263418013248190082402749*x^8-261606917893371009932114249682*x^7-271379953187294336122543211544*x^6+113644049320779709744370725840*x^5+63859247586642509813021225664*x^4-21362812285130508432843254752*x^3-7853940927405133735461184000*x^2+1405045188434636900608639872*x+421067491012283833177122048]]; bsd[492,1] = 0 ; deg[492,1] = 3 ; dsc[492,1] = 1 ; E [492,1] = [x, [1,0,-1,0,0]]; bsd[492,2] = 0 ; deg[492,2] = 3^3 ; dsc[492,2] = 1 ; E [492,2] = [x, [1,0,1,0,-2]]; bsd[492,3] = 3 ; deg[492,3] = 3^2*67 ; dsc[492,3] = 2^3*3 ; E [492,3] = [x^2+4*x-2, [1,0,-1,0,x]]; bsd[492,4] = 1 ; deg[492,4] = 3^2 ; dsc[492,4] = 2^2*3 ; E [492,4] = [x^2-2*x-2, [1,0,1,0,x]]; bsd[493,1] = 0 ; deg[493,1] = 3*5 ; dsc[493,1] = 1 ; E [493,1] = [x, [1,-1,-3,-1,1]]; bsd[493,2] = 1 ; deg[493,2] = 3^2*13 ; dsc[493,2] = 1 ; E [493,2] = [x, [1,-1,0,-1,-2]]; bsd[493,3] = 1 ; deg[493,3] = 1 ; dsc[493,3] = 17 ; E [493,3] = [x^2+x-4, [1,1,x,-1,x+2]]; bsd[493,4] = 1 ; deg[493,4] = 53 ; dsc[493,4] = 2^2*29*73 ; E [493,4] = [x^4-2*x^3-6*x^2+12*x-1, [2,2*x,-x^3-x^2+5*x+5,2*x^2-4,x^3-x^2-7*x+7]]; bsd[493,5] = 0 ; deg[493,5] = 5*7 ; dsc[493,5] = 11*24547 ; E [493,5] = [x^5+2*x^4-5*x^3-7*x^2+7*x+3, [1,x,-x^2-x+2,x^2-2,-x^4-x^3+4*x^2+x-2]]; bsd[493,6] = 1/5 ; deg[493,6] = 13*53 ; dsc[493,6] = 13*562613 ; E [493,6] = [x^6-5*x^5+3*x^4+16*x^3-20*x^2+1, [1,x,x^2-x-2,x^2-2,x^5-5*x^4+2*x^3+17*x^2-16*x-1]]; bsd[493,7] = 1/3 ; deg[493,7] = 31 ; dsc[493,7] = 2^3*499*237565481 ; E [493,7] = [x^8-3*x^7-10*x^6+29*x^5+37*x^4-88*x^3-65*x^2+80*x+51, [2,2*x,-2*x^2+2*x+8,2*x^2-4,2*x^6-4*x^5-16*x^4+24*x^3+42*x^2-32*x-36]]; bsd[493,8] = 0 ; deg[493,8] = 1 ; dsc[493,8] = 2^4*180269499225031 ; E [493,8] = [x^10+5*x^9-3*x^8-44*x^7-25*x^6+119*x^5+98*x^4-116*x^3-94*x^2+28*x+11, [22,22*x,5*x^9+23*x^8-22*x^7-187*x^6-15*x^5+436*x^4+x^3-334*x^2+119*x+22,22*x^2-44,7*x^9+19*x^8-88*x^7-231*x^6+353*x^5+870*x^4-465*x^3-1000*x^2+127*x+132]]; bsd[494,1] = 0 ; deg[494,1] = 5 ; dsc[494,1] = 1 ; E [494,1] = [x, [1,-1,-1,1,1]]; bsd[494,2] = 1 ; deg[494,2] = 17 ; dsc[494,2] = 1 ; E [494,2] = [x, [1,-1,0,1,2]]; bsd[494,3] = 1 ; deg[494,3] = 19 ; dsc[494,3] = 1 ; E [494,3] = [x, [1,-1,3,1,-3]]; bsd[494,4] = 0 ; deg[494,4] = 3*13 ; dsc[494,4] = 1 ; E [494,4] = [x, [1,1,-1,1,-1]]; bsd[494,5] = 1 ; deg[494,5] = 17*19^2*449 ; dsc[494,5] = 3^4 ; E [494,5] = [x^3+3*x^2-6*x-17, [3,-3,3*x,3,5*x^2+4*x-28]]; bsd[494,6] = 1 ; deg[494,6] = 11^2*31 ; dsc[494,6] = 19^2 ; E [494,6] = [x^3+x^2-6*x-7, [1,-1,x,1,x^2-4]]; bsd[494,7] = 113 ; deg[494,7] = 13^2*113 ; dsc[494,7] = 7^2 ; E [494,7] = [x^3-5*x^2+6*x-1, [1,1,x,1,x^2-4*x+4]]; bsd[494,8] = 17 ; deg[494,8] = 3^2*17 ; dsc[494,8] = 17*977 ; E [494,8] = [x^4-2*x^3-5*x^2+7*x+5, [1,1,x,1,-x^2+4]]; bsd[495,1] = 0 ; deg[495,1] = 1 ; dsc[495,1] = 1 ; E [495,1] = [x, [1,-1,0,-1,-1]]; bsd[495,2] = 0 ; deg[495,2] = 7 ; dsc[495,2] = 2^3 ; E [495,2] = [x^2+2*x-1, [1,x,0,-2*x-1,1]]; bsd[495,3] = 1 ; deg[495,3] = 1 ; dsc[495,3] = 2^2*3 ; E [495,3] = [x^2-3, [1,x,0,1,1]]; bsd[495,4] = 1 ; deg[495,4] = 1 ; dsc[495,4] = 2^3 ; E [495,4] = [x^2-2*x-1, [1,x,0,2*x-1,1]]; bsd[495,5] = 1 ; deg[495,5] = 5 ; dsc[495,5] = 2^4*37 ; E [495,5] = [x^3-x^2-5*x+1, [1,x,0,x^2-2,-1]]; bsd[495,6] = 1/3 ; deg[495,6] = 3^2*5 ; dsc[495,6] = 2^6*761 ; E [495,6] = [x^4+2*x^3-6*x^2-10*x+3, [1,x,0,x^2-2,-1]]; bsd[495,7] = 5/3 ; deg[495,7] = 3*5 ; dsc[495,7] = 2^6*761 ; E [495,7] = [x^4-2*x^3-6*x^2+10*x+3, [1,x,0,x^2-2,1]]; bsd[496,1] = 0 ; deg[496,1] = 1 ; dsc[496,1] = 1 ; E [496,1] = [x, [1,0,0,0,-3]]; bsd[496,2] = 0 ; deg[496,2] = 3 ; dsc[496,2] = 1 ; E [496,2] = [x, [1,0,0,0,-2]]; bsd[496,3] = 0 ; deg[496,3] = 3 ; dsc[496,3] = 1 ; E [496,3] = [x, [1,0,0,0,1]]; bsd[496,4] = 1 ; deg[496,4] = 3 ; dsc[496,4] = 1 ; E [496,4] = [x, [1,0,2,0,-3]]; bsd[496,5] = 1 ; deg[496,5] = 1 ; dsc[496,5] = 1 ; E [496,5] = [x, [1,0,2,0,1]]; bsd[496,6] = 1 ; deg[496,6] = 1 ; dsc[496,6] = 1 ; E [496,6] = [x, [1,0,2,0,2]]; bsd[496,7] = 1 ; deg[496,7] = 1 ; dsc[496,7] = 3*11 ; E [496,7] = [x^2-3*x-6, [1,0,-2,0,x]]; bsd[496,8] = 1 ; deg[496,8] = 3*11 ; dsc[496,8] = 2^2*3 ; E [496,8] = [x^2+2*x-2, [1,0,x,0,2*x+2]]; bsd[496,9] = 1 ; deg[496,9] = 11 ; dsc[496,9] = 2^2*5 ; E [496,9] = [x^2-2*x-4, [1,0,x,0,1]]; bsd[496,10] = 0 ; deg[496,10] = 1 ; dsc[496,10] = 2^2*79 ; E [496,10] = [x^3+2*x^2-6*x-8, [2,0,2*x,0,-x^2-2*x+2]]; bsd[497,1] = 0 ; deg[497,1] = 5 ; dsc[497,1] = 1 ; E [497,1] = [x, [1,1,-1,-1,0]]; bsd[497,2] = 0 ; deg[497,2] = 7 ; dsc[497,2] = 2^3 ; E [497,2] = [x^2+2*x-1, [1,-1,x,-1,0]]; bsd[497,3] = 1 ; deg[497,3] = 61^2 ; dsc[497,3] = 2^6*2172604873 ; E [497,3] = [x^8-12*x^6+42*x^4+4*x^3-44*x^2-8*x+1, [4,4*x,x^7-x^6-11*x^5+9*x^4+31*x^3-11*x^2-21*x-5,4*x^2-8,2*x^7-22*x^5+66*x^3+8*x^2-54*x-8]]; bsd[497,4] = 0 ; deg[497,4] = 1 ; dsc[497,4] = 2^2*13*24671*4167767 ; E [497,4] = [x^9+2*x^8-9*x^7-16*x^6+26*x^5+36*x^4-28*x^3-19*x^2+10*x+1, [2,2*x,-x^8-3*x^7+8*x^6+24*x^5-20*x^4-52*x^3+18*x^2+21*x-5,2*x^2-4,2*x^8+4*x^7-16*x^6-30*x^5+36*x^4+60*x^3-22*x^2-22*x+4]]; bsd[497,5] = 1/3^2 ; deg[497,5] = 1 ; dsc[497,5] = 2^8*3^8*6247*477913*654499*402614197 ; E [497,5] = [x^15-2*x^14-24*x^13+46*x^12+224*x^11-406*x^10-1026*x^9+1731*x^8+2373*x^7-3662*x^6-2504*x^5+3488*x^4+818*x^3-1062*x^2-54*x+27, [72372,72372*x,-866*x^14-383*x^13+26388*x^12+7771*x^11-313168*x^10-56773*x^9+1828902*x^8+185805*x^7-5426691*x^6-322238*x^5+7457797*x^4+520604*x^3-3456883*x^2-510510*x+262029,72372*x^2-144744,-8102*x^14+8242*x^13+195732*x^12-177716*x^11-1848742*x^10+1411070*x^9+8654340*x^8-5016378*x^7-20874822*x^6+7489972*x^5+23985568*x^4-3035254*x^3-9531742*x^2-270624*x+362736]]; bsd[498,1] = 0 ; deg[498,1] = 5 ; dsc[498,1] = 1 ; E [498,1] = [x, [1,-1,1,1,-1]]; bsd[498,2] = 1 ; deg[498,2] = 7 ; dsc[498,2] = 1 ; E [498,2] = [x, [1,-1,1,1,2]]; bsd[498,3] = 5/3 ; deg[498,3] = 5*7*37 ; dsc[498,3] = 3*7 ; E [498,3] = [x^2+3*x-3, [1,-1,1,1,x]]; bsd[498,4] = 0 ; deg[498,4] = 61 ; dsc[498,4] = 5 ; E [498,4] = [x^2+5*x+5, [1,1,-1,1,x]]; bsd[498,5] = 1 ; deg[498,5] = 13 ; dsc[498,5] = 17 ; E [498,5] = [x^2-3*x-2, [1,1,-1,1,x]]; bsd[498,6] = 0 ; deg[498,6] = 3 ; dsc[498,6] = 3^3*23 ; E [498,6] = [x^3-12*x-7, [3,-3,-3,3,3*x]]; bsd[498,7] = 7 ; deg[498,7] = 7*41 ; dsc[498,7] = 40709 ; E [498,7] = [x^4-2*x^3-8*x^2+11*x+14, [1,1,1,1,x]]; bsd[499,1] = 0 ; deg[499,1] = 71 ; dsc[499,1] = 5 ; E [499,1] = [x^2+x-1, [1,x,2*x+1,-x-1,-x-3]]; bsd[499,2] = 0 ; deg[499,2] = 71 ; dsc[499,2] = 3^7*167*495613*573452584782809 ; E [499,2] = [x^16+5*x^15-11*x^14-85*x^13+9*x^12+548*x^11+293*x^10-1718*x^9-1408*x^8+2735*x^7+2662*x^6-2058*x^5-2241*x^4+585*x^3+738*x^2-54*x-81, [1404,1404*x,-2275*x^15-12194*x^14+19643*x^13+197470*x^12+66339*x^11-1173341*x^10-1178684*x^9+3176966*x^8+4567186*x^7-3672695*x^6-7546981*x^5+661245*x^4+5162508*x^3+1342809*x^2-911313*x-341523,1404*x^2-2808,833*x^15+5278*x^14-4093*x^13-83750*x^12-76281*x^11+479947*x^10+758908*x^9-1206658*x^8-2656382*x^7+1105621*x^6+4215899*x^5+400089*x^4-2824884*x^3-1011987*x^2+496035*x+220833]]; bsd[499,3] = 1/83 ; deg[499,3] = 1 ; dsc[499,3] = 2^3*3^2*25224990196319*277143583167463430555979797274731 ; E [499,3] = [x^23-4*x^22-26*x^21+117*x^20+268*x^19-1447*x^18-1325*x^17+9859*x^16+2497*x^15-40388*x^14+4836*x^13+101760*x^12-34790*x^11-154579*x^10+72287*x^9+132753*x^8-68227*x^7-57242*x^6+26996*x^5+11011*x^4-4109*x^3-660*x^2+172*x-8, [1119607386952032,1119607386952032*x,-1457220813884701*x^22+5678233870539797*x^21+38437919915831625*x^20-166420599356069454*x^19-406681494577556230*x^18+2063684757695578313*x^17+2131320620170786716*x^16-14111945429885894323*x^15-5011697631105030798*x^14+58110228579945169322*x^13-1386215547524391782*x^12-147550524156892878178*x^11+36311241947456395416*x^10+226941728109628150159*x^9-83217251219482502334*x^8-199211856198510302535*x^7+80053816115117614858*x^6+89612966582794171600*x^5-30701716179028214388*x^4-18557784237638262739*x^3+4241876611931525928*x^2+1323901622217419244*x-132135308640627640,1119607386952032*x^2-2239214773904064,-2669299034009443*x^22+10457495983542707*x^21+70287487152318975*x^20-306581239536635514*x^19-741332329244062138*x^18+3803111167777157687*x^17+3858768611727027372*x^16-26018662896792560269*x^15-8867121953871642714*x^14+107205568310326744214*x^13-3839872149215350490*x^12-272438750437583145790*x^11+69831790413756282120*x^10+419530473282001245505*x^9-157521313152629333226*x^8-368949337944836427273*x^7+151014001499112057262*x^6+166469319538234442224*x^5-58075577940860841372*x^4-34610376869306388733*x^3+8070016244657771712*x^2+2481490402420987188*x-249416707239496456]]; bsd[500,1] = 0 ; deg[500,1] = 3^2*5 ; dsc[500,1] = 5 ; E [500,1] = [x^2+x-1, [1,0,x,0,0]]; bsd[500,2] = 1 ; deg[500,2] = 3^2*5^3 ; dsc[500,2] = 5 ; E [500,2] = [x^2-x-1, [1,0,x,0,0]]; bsd[500,3] = 3^2 ; deg[500,3] = 3^4*5^4 ; dsc[500,3] = 2^4*5^2*31 ; E [500,3] = [x^4-13*x^2+31, [3,0,3*x,0,0]]; bsd[501,1] = 1 ; deg[501,1] = 23 ; dsc[501,1] = 1 ; E [501,1] = [x, [1,1,-1,-1,-4]]; bsd[501,2] = 0 ; deg[501,2] = 8219 ; dsc[501,2] = 36497 ; E [501,2] = [x^5+4*x^4+x^3-8*x^2-2*x+3, [1,x,1,x^2-2,x^4+3*x^3-x^2-5*x-1]]; bsd[501,3] = 0 ; deg[501,3] = 11 ; dsc[501,3] = 38569 ; E [501,3] = [x^5-5*x^3+4*x+1, [1,x,-1,x^2-2,x^4-x^3-5*x^2+3*x+3]]; bsd[501,4] = 1 ; deg[501,4] = 23*3699337 ; dsc[501,4] = 2^2*7*103*977*7853 ; E [501,4] = [x^8+3*x^7-10*x^6-34*x^5+17*x^4+100*x^3+43*x^2-21*x-7, [26,26*x,-26,26*x^2-52,-13*x^7+156*x^5-26*x^4-481*x^3+117*x^2+182*x-39]]; bsd[501,5] = 19/7 ; deg[501,5] = 19 ; dsc[501,5] = 2^2*7*13508673811 ; E [501,5] = [x^8-3*x^7-8*x^6+28*x^5+9*x^4-64*x^3+17*x^2+23*x+1, [14,14*x,14,14*x^2-28,-3*x^7+38*x^5+2*x^4-147*x^3-11*x^2+168*x+29]]; bsd[502,1] = 0 ; deg[502,1] = 5*29 ; dsc[502,1] = 5 ; E [502,1] = [x^2+3*x+1, [1,1,-1,1,x]]; bsd[502,2] = 1/3 ; deg[502,2] = 29 ; dsc[502,2] = 13 ; E [502,2] = [x^2-5*x+3, [1,1,1,1,x]]; bsd[502,3] = 0 ; deg[502,3] = 5^2 ; dsc[502,3] = 242773 ; E [502,3] = [x^5+x^4-7*x^3-4*x^2+6*x-1, [2,-2,2*x,2,x^4+2*x^3-7*x^2-11*x+3]]; bsd[502,4] = 1 ; deg[502,4] = 19^2*23^2 ; dsc[502,4] = 138917 ; E [502,4] = [x^5-2*x^4-9*x^3+14*x^2+16*x-8, [4,-4,4*x,4,-2*x^3+2*x^2+12*x]]; bsd[502,5] = 11^2/7 ; deg[502,5] = 11^2*29 ; dsc[502,5] = 11*5532091 ; E [502,5] = [x^6-x^5-16*x^4+9*x^3+74*x^2-8*x-88, [4,4,4*x,4,-2*x^5+6*x^4+24*x^3-66*x^2-60*x+128]]; bsd[503,1] = 1 ; deg[503,1] = 5^2 ; dsc[503,1] = 1 ; E [503,1] = [x, [1,-1,1,-1,-4]]; bsd[503,2] = 0 ; deg[503,2] = 11 ; dsc[503,2] = 1 ; E [503,2] = [x, [1,1,1,-1,-2]]; bsd[503,3] = 1 ; deg[503,3] = 19 ; dsc[503,3] = 1 ; E [503,3] = [x, [1,1,3,-1,-2]]; bsd[503,4] = 1 ; deg[503,4] = 2003 ; dsc[503,4] = 257 ; E [503,4] = [x^3-5*x+3, [1,x,x^2+x-3,x^2-2,0]]; bsd[503,5] = 0 ; deg[503,5] = 11 ; dsc[503,5] = 821*8659024393 ; E [503,5] = [x^10+4*x^9-4*x^8-31*x^7-13*x^6+66*x^5+56*x^4-37*x^3-46*x^2-8*x+1, [17,17*x,20*x^9+61*x^8-132*x^7-481*x^6+157*x^5+1085*x^4+153*x^3-774*x^2-234*x+30,17*x^2-34,-2*x^9-18*x^8-14*x^7+145*x^6+190*x^5-338*x^4-442*x^3+244*x^2+275*x+14]]; bsd[503,6] = 1/251 ; deg[503,6] = 5^2*19*2003 ; dsc[503,6] = 19*13597*45587*384479819*20115672029938390602701696607766073563 ; E [503,6] = [x^26-4*x^25-36*x^24+154*x^23+554*x^22-2577*x^21-4772*x^20+24652*x^19+25321*x^18-149131*x^17-86017*x^16+595540*x^15+189834*x^14-1589003*x^13-278156*x^12+2799707*x^11+297701*x^10-3137915*x^9-283355*x^8+2081504*x^7+236065*x^6-725019*x^5-120174*x^4+115872*x^3+24760*x^2-6437*x-1583, [116875561486138537008,116875561486138537008*x,13869722385573969633*x^25-61052736635516533857*x^24-473086327088511003459*x^23+2319829787620598891868*x^22+6695444046787267747275*x^21-38210384636112124945821*x^20-50059980369659776043955*x^19+358640275191785922883968*x^18+201484335524761708653366*x^17-2120516374949472352526478*x^16-318821930359435572930195*x^15+8237898833199218058564237*x^14-716397544262575629777465*x^13-21257589392541493775666283*x^12+4656901961287630542579222*x^11+35942209541525631742810026*x^10-10051247135322287776786122*x^9-38221193730295320749191863*x^8+10941036609734175158053290*x^7+23615544262491636442362600*x^6-5822352865301784430831608*x^5-7446580104443019521534301*x^4+1195817622624064126719183*x^3+1091509292843352084643545*x^2-76522497988196420226780*x-57277359592893926086248,116875561486138537008*x^2-233751122972277074016,15202743444561341914*x^25-65858178376416131360*x^24-523964474609903758246*x^23+2511735907886829223496*x^22+7531497402026519324184*x^21-41549607021883143532140*x^20-57792261207488679019658*x^19+391905727699772938678704*x^18+245540911089999157866934*x^17-2330070804484681575968792*x^16-477068716602494299070510*x^15+9107276013556164597860208*x^14-369408050685277396885566*x^13-23653685923868940134714198*x^12+4255106156829184478869452*x^11+40255936142082043997352914*x^10-9973291089887838273498420*x^9-43066359434781069608918486*x^8+11282443112815569902501058*x^7+26724414289499369715657806*x^6-6144308233956282983917108*x^5-8428241672012231497675946*x^4+1266033737470866120393164*x^3+1228305851908854252945934*x^2-79673872985458058877408*x-63643939110704057560382]]; bsd[504,1] = 0 ; deg[504,1] = 1 ; dsc[504,1] = 1 ; E [504,1] = [x, [1,0,0,0,-2]]; bsd[504,2] = 0 ; deg[504,2] = 1 ; dsc[504,2] = 1 ; E [504,2] = [x, [1,0,0,0,-2]]; bsd[504,3] = 1 ; deg[504,3] = 1 ; dsc[504,3] = 1 ; E [504,3] = [x, [1,0,0,0,-2]]; bsd[504,4] = 0 ; deg[504,4] = 1 ; dsc[504,4] = 1 ; E [504,4] = [x, [1,0,0,0,-2]]; bsd[504,5] = 1 ; deg[504,5] = 3 ; dsc[504,5] = 1 ; E [504,5] = [x, [1,0,0,0,-2]]; bsd[504,6] = 1 ; deg[504,6] = 3 ; dsc[504,6] = 1 ; E [504,6] = [x, [1,0,0,0,2]]; bsd[504,7] = 1 ; deg[504,7] = 3 ; dsc[504,7] = 1 ; E [504,7] = [x, [1,0,0,0,2]]; bsd[504,8] = 1 ; deg[504,8] = 3 ; dsc[504,8] = 1 ; E [504,8] = [x, [1,0,0,0,4]]; bsd[505,1] = 0 ; deg[505,1] = 1 ; dsc[505,1] = 1 ; E [505,1] = [x, [1,1,0,-1,-1]]; bsd[505,2] = 0 ; deg[505,2] = 5 ; dsc[505,2] = 8517401 ; E [505,2] = [x^6+3*x^5-4*x^4-17*x^3-5*x^2+13*x+5, [1,x,-2*x^5-3*x^4+12*x^3+15*x^2-11*x-7,x^2-2,-1]]; bsd[505,3] = 0 ; deg[505,3] = 11579 ; dsc[505,3] = 2^2*2766106829 ; E [505,3] = [x^8+5*x^7+x^6-26*x^5-27*x^4+30*x^3+46*x^2+9*x-1, [1,x,x^7+3*x^6-6*x^5-18*x^4+11*x^3+26*x^2-4*x-3,x^2-2,1]]; bsd[505,4] = 1 ; deg[505,4] = 59*1499 ; dsc[505,4] = 2^6*67*461*1889747 ; E [505,4] = [x^9-2*x^8-12*x^7+21*x^6+47*x^5-61*x^4-72*x^3+43*x^2+34*x-1, [13,13*x,-5*x^8-2*x^7+50*x^6+28*x^5-121*x^4-105*x^3+4*x^2+65*x+38,13*x^2-26,-13]]; bsd[505,5] = 7/17 ; deg[505,5] = 7 ; dsc[505,5] = 2^4*7349*119513081 ; E [505,5] = [x^9-2*x^8-10*x^7+19*x^6+31*x^5-57*x^4-28*x^3+57*x^2-6*x-7, [1,x,3*x^8-4*x^7-32*x^6+34*x^5+111*x^4-85*x^3-134*x^2+61*x+26,x^2-2,1]]; bsd[506,1] = 0 ; deg[506,1] = 7 ; dsc[506,1] = 1 ; E [506,1] = [x, [1,-1,-2,1,1]]; bsd[506,2] = 1/3 ; deg[506,2] = 11 ; dsc[506,2] = 1 ; E [506,2] = [x, [1,-1,-2,1,3]]; bsd[506,3] = 1 ; deg[506,3] = 3*7*17 ; dsc[506,3] = 1 ; E [506,3] = [x, [1,-1,0,1,-3]]; bsd[506,4] = 0 ; deg[506,4] = 5^2 ; dsc[506,4] = 1 ; E [506,4] = [x, [1,-1,0,1,-1]]; bsd[506,5] = 0 ; deg[506,5] = 13 ; dsc[506,5] = 1 ; E [506,5] = [x, [1,1,-2,1,-1]]; bsd[506,6] = 0 ; deg[506,6] = 3 ; dsc[506,6] = 1 ; E [506,6] = [x, [1,1,0,1,-3]]; bsd[506,7] = 1 ; deg[506,7] = 11*353 ; dsc[506,7] = 11*43 ; E [506,7] = [x^3-3*x^2-2*x+5, [1,-1,x,1,-x^2+2*x]]; bsd[506,8] = 1/3 ; deg[506,8] = 17^2 ; dsc[506,8] = 3^4 ; E [506,8] = [x^3-3*x^2-6*x+17, [3,-3,3*x,3,-x^2+2*x+8]]; bsd[506,9] = 5^2 ; deg[506,9] = 5^3*11 ; dsc[506,9] = 11*619 ; E [506,9] = [x^4+x^3-6*x^2-3*x+8, [1,1,x,1,-x^3+4*x-1]]; bsd[506,10] = 401/3 ; deg[506,10] = 401 ; dsc[506,10] = 10722353 ; E [506,10] = [x^5-x^4-12*x^3+13*x^2+22*x-8, [2,2,2*x,2,-x^4-x^3+8*x^2+3*x]]; bsd[507,1] = 0 ; deg[507,1] = 3*7 ; dsc[507,1] = 1 ; E [507,1] = [x, [1,-1,-1,-1,-2]]; bsd[507,2] = 0 ; deg[507,2] = 3 ; dsc[507,2] = 1 ; E [507,2] = [x, [1,-1,-1,-1,1]]; bsd[507,3] = 0 ; deg[507,3] = 3*13 ; dsc[507,3] = 1 ; E [507,3] = [x, [1,1,-1,-1,-1]]; bsd[507,4] = 1 ; deg[507,4] = 3^2*13 ; dsc[507,4] = 17 ; E [507,4] = [x^2+x-4, [1,x,1,-x+2,x+2]]; bsd[507,5] = 1 ; deg[507,5] = 3^2*13 ; dsc[507,5] = 2^2*3 ; E [507,5] = [x^2-12, [2,0,-2,-4,2*x]]; bsd[507,6] = 1 ; deg[507,6] = 3^2*13 ; dsc[507,6] = 2^2*3 ; E [507,6] = [x^2-3, [1,x,-1,1,0]]; bsd[507,7] = 1 ; deg[507,7] = 3^2*13 ; dsc[507,7] = 17 ; E [507,7] = [x^2-x-4, [1,x,1,x+2,x-2]]; bsd[507,8] = 7 ; deg[507,8] = 3^2*7^2 ; dsc[507,8] = 2^3 ; E [507,8] = [x^2-2*x-1, [1,x,1,2*x-1,-2*x+2]]; bsd[507,9] = 0 ; deg[507,9] = 7*13*29 ; dsc[507,9] = 7^2 ; E [507,9] = [x^3+3*x^2-4*x-13, [1,x,-1,x^2-2,3*x^2+x-18]]; bsd[507,10] = 0 ; deg[507,10] = 7*13 ; dsc[507,10] = 7^2 ; E [507,10] = [x^3+x^2-2*x-1, [1,x,1,x^2-2,-x^2-x]]; bsd[507,11] = 1/13 ; deg[507,11] = 7*13^2 ; dsc[507,11] = 7^2 ; E [507,11] = [x^3-x^2-2*x+1, [1,x,1,x^2-2,x^2-x]]; bsd[507,12] = 1 ; deg[507,12] = 7*13^2*29 ; dsc[507,12] = 7^2 ; E [507,12] = [x^3-3*x^2-4*x+13, [1,x,-1,x^2-2,-3*x^2+x+18]]; bsd[508,1] = 0 ; deg[508,1] = 3^2*19 ; dsc[508,1] = 5 ; E [508,1] = [x^2+2*x-4, [2,0,2*x,0,-4]]; bsd[508,2] = 1 ; deg[508,2] = 3^2*11 ; dsc[508,2] = 5 ; E [508,2] = [x^2-2*x-4, [2,0,4,0,2*x]]; bsd[508,3] = 0 ; deg[508,3] = 3^3*19 ; dsc[508,3] = 3^4 ; E [508,3] = [x^3+3*x^2-1, [1,0,x,0,-x^2-4*x-1]]; bsd[508,4] = 3 ; deg[508,4] = 3^3*11 ; dsc[508,4] = 3*107 ; E [508,4] = [x^3-x^2-6*x-3, [1,0,x,0,-x^2+2*x+5]]; bsd[509,1] = 0 ; deg[509,1] = 1 ; dsc[509,1] = 2^4*3^3*13*1277*3691783*42330311 ; E [509,1] = [x^14+3*x^13-11*x^12-36*x^11+43*x^10+161*x^9-70*x^8-337*x^7+29*x^6+336*x^5+40*x^4-139*x^3-36*x^2+12*x+3, [1,x,-x^12-3*x^11+9*x^10+32*x^9-22*x^8-119*x^7-4*x^6+183*x^5+66*x^4-99*x^3-55*x^2+3*x+4,x^2-2,2*x^12+7*x^11-17*x^10-76*x^9+34*x^8+290*x^7+43*x^6-465*x^5-185*x^4+278*x^3+140*x^2-26*x-11]]; bsd[509,2] = 1/127 ; deg[509,2] = 1 ; dsc[509,2] = 2^19*157*971*4567*1157039662523351992921397*6331071860925306189417509 ; E [509,2] = [x^28-3*x^27-44*x^26+135*x^25+847*x^24-2674*x^23-9369*x^22+30699*x^21+65714*x^20-226429*x^19-303558*x^18+1123948*x^17+922806*x^16-3822074*x^15-1752519*x^14+8879314*x^13+1675588*x^12-13751763*x^11+382971*x^10+13397267*x^9-2958134*x^8-7169500*x^7+3056380*x^6+1305763*x^5-1072947*x^4+245723*x^3-24485*x^2+1114*x-19, [9909303641155904,9909303641155904*x,28033241225634825*x^27-82219657601187787*x^26-1239024286544431679*x^25+3701674303579743622*x^24+23994116865022277586*x^23-73364039336132508006*x^22-267587095156064323527*x^21+842881333781189798445*x^20+1898830276788767510627*x^19-6222751143886919796666*x^18-8926685077756292451529*x^17+30926838295446951435976*x^16+27933785911245880620041*x^15-105351191565815072136576*x^14-56129305749612222224906*x^13+245387624668756537273088*x^12+63186340130919972143678*x^11-381715845448688301446567*x^10-14311451080842979602047*x^9+375099709570728001238852*x^8-58526544688879041966547*x^7-205131050615152375551650*x^6+72489091285337089631261*x^5+41395514200257040858203*x^4-27467529451829034785330*x^3+5126558302028879768468*x^2-355862483108874587717*x+8216555284058390406,9909303641155904*x^2-19818607282311808,34717738602430005*x^27-101971636257063744*x^26-1533921080826671704*x^25+4590109077182729377*x^24+29692165399898151742*x^23-90952824667187784790*x^22-330960934204728913393*x^21+1044702446267151293170*x^20+2347043125333089066114*x^19-7710540566433381622611*x^18-11024996720990947030193*x^17+38308498394559019300417*x^16+34463775851792255810245*x^15-130447385139183864004829*x^14-69143450980051305628040*x^13+303712084391277703296814*x^12+77590747156735620798502*x^11-472212768696172449281809*x^10-17042417053203255075088*x^9+463770391694737478351587*x^8-72762408911310758161279*x^7-253460501169507854590253*x^6+89674060679329347616249*x^5+51108906427204264821164*x^4-33919003056591226345985*x^3+6326389216514367079620*x^2-438813488298953897287*x+10132005377921661935]]; bsd[510,1] = 1 ; deg[510,1] = 3^2*7 ; dsc[510,1] = 1 ; E [510,1] = [x, [1,-1,-1,1,-1]]; bsd[510,2] = 3 ; deg[510,2] = 3*7 ; dsc[510,2] = 1 ; E [510,2] = [x, [1,-1,1,1,1]]; bsd[510,3] = 0 ; deg[510,3] = 3 ; dsc[510,3] = 1 ; E [510,3] = [x, [1,1,-1,1,-1]]; bsd[510,4] = 1 ; deg[510,4] = 5 ; dsc[510,4] = 1 ; E [510,4] = [x, [1,1,-1,1,-1]]; bsd[510,5] = 1 ; deg[510,5] = 1 ; dsc[510,5] = 1 ; E [510,5] = [x, [1,1,-1,1,1]]; bsd[510,6] = 1 ; deg[510,6] = 1 ; dsc[510,6] = 1 ; E [510,6] = [x, [1,1,1,1,-1]]; bsd[510,7] = 3 ; deg[510,7] = 3^2 ; dsc[510,7] = 1 ; E [510,7] = [x, [1,1,1,1,1]]; bsd[510,8] = 5 ; deg[510,8] = 5^2*19 ; dsc[510,8] = 2^5*3 ; E [510,8] = [x^2-24, [1,-1,-1,1,1]]; bsd[511,1] = 11 ; deg[511,1] = 11^3 ; dsc[511,1] = 11*43 ; E [511,1] = [x^3-5*x+1, [1,x,2,x^2-2,-x+1]]; bsd[511,2] = 1 ; deg[511,2] = 5^2*47 ; dsc[511,2] = 13^2 ; E [511,2] = [x^3-x^2-4*x-1, [1,x,0,x^2-2,x^2-x-3]]; bsd[511,3] = 0 ; deg[511,3] = 3^4 ; dsc[511,3] = 383*8059 ; E [511,3] = [x^6+3*x^5-3*x^4-12*x^3+11*x+3, [1,x,-x^5-2*x^4+4*x^3+5*x^2-4*x-2,x^2-2,x^4+2*x^3-3*x^2-4*x]]; bsd[511,4] = 0 ; deg[511,4] = 5^2 ; dsc[511,4] = 5^3*59*131 ; E [511,4] = [x^6+3*x^5-3*x^4-12*x^3+7*x-1, [1,x,x^5+2*x^4-4*x^3-7*x^2+2*x+2,x^2-2,-2*x^5-3*x^4+8*x^3+9*x^2-4*x-2]]; bsd[511,5] = 11/37 ; deg[511,5] = 11^3 ; dsc[511,5] = 11^2*59*811*4388333 ; E [511,5] = [x^9-2*x^8-10*x^7+18*x^6+33*x^5-50*x^4-40*x^3+45*x^2+17*x-11, [1,x,-x^8+2*x^7+9*x^6-17*x^5-23*x^4+41*x^3+11*x^2-22*x+3,x^2-2,x^8-3*x^7-7*x^6+26*x^5+7*x^4-65*x^3+24*x^2+38*x-18]]; bsd[511,6] = 1 ; deg[511,6] = 5*7^2*47 ; dsc[511,6] = 23*919*898013*6582889 ; E [511,6] = [x^10-4*x^9-9*x^8+50*x^7+4*x^6-194*x^5+123*x^4+224*x^3-231*x^2+11*x+27, [31,31*x,-3*x^9+10*x^8+44*x^7-131*x^6-213*x^5+533*x^4+348*x^3-688*x^2-86*x+106,31*x^2-62,-9*x^9+30*x^8+101*x^7-393*x^6-298*x^5+1661*x^4-10*x^3-2343*x^2+610*x+473]]; bsd[512,1] = 0 ; deg[512,1] = 1 ; dsc[512,1] = 2^3 ; E [512,1] = [x^2+4*x+2, [1,0,x,0,0]]; bsd[512,2] = 0 ; deg[512,2] = 1 ; dsc[512,2] = 2^3 ; E [512,2] = [x^2-8, [2,0,-x,0,-4]]; bsd[512,3] = 0 ; deg[512,3] = 1 ; dsc[512,3] = 2^3 ; E [512,3] = [x^2-2, [1,0,x,0,-2*x]]; bsd[512,4] = 1 ; deg[512,4] = 1 ; dsc[512,4] = 2^3 ; E [512,4] = [x^2-2, [1,0,x,0,2*x]]; bsd[512,5] = 1 ; deg[512,5] = 1 ; dsc[512,5] = 2^3 ; E [512,5] = [x^2-8, [2,0,x,0,4]]; bsd[512,6] = 1 ; deg[512,6] = 1 ; dsc[512,6] = 2^3 ; E [512,6] = [x^2-4*x+2, [1,0,x,0,0]]; bsd[512,7] = 1 ; deg[512,7] = 1 ; dsc[512,7] = 2^14*3^2 ; E [512,7] = [x^4-36*x^2+36, [12,0,x^3-30*x,0,-x^3+42*x]]; bsd[513,1] = 0 ; deg[513,1] = 3 ; dsc[513,1] = 1 ; E [513,1] = [x, [1,-1,0,-1,0]]; bsd[513,2] = 0 ; deg[513,2] = 3^2 ; dsc[513,2] = 1 ; E [513,2] = [x, [1,1,0,-1,0]]; bsd[513,3] = 0 ; deg[513,3] = 3^3 ; dsc[513,3] = 2^2*3 ; E [513,3] = [x^2-3, [1,x,0,1,-2*x]]; bsd[513,4] = 0 ; deg[513,4] = 3^4 ; dsc[513,4] = 3^4 ; E [513,4] = [x^3+3*x^2-3, [1,x,0,x^2-2,x]]; bsd[513,5] = 0 ; deg[513,5] = 3^4 ; dsc[513,5] = 3*107 ; E [513,5] = [x^3+x^2-4*x-1, [1,x,0,x^2-2,-x-2]]; bsd[513,6] = 1 ; deg[513,6] = 3^5 ; dsc[513,6] = 3*107 ; E [513,6] = [x^3-x^2-4*x+1, [1,x,0,x^2-2,-x+2]]; bsd[513,7] = 1/3 ; deg[513,7] = 3^4 ; dsc[513,7] = 3^4 ; E [513,7] = [x^3-3*x^2+3, [1,x,0,x^2-2,x]]; bsd[513,8] = 1/3 ; deg[513,8] = 3^5 ; dsc[513,8] = 2^10*3^3 ; E [513,8] = [x^4-6*x^2+3, [1,x,0,x^2-2,x^3-5*x]]; bsd[513,9] = 1 ; deg[513,9] = 3^6*13 ; dsc[513,9] = 2^8*3^2*13 ; E [513,9] = [x^4-8*x^2+13, [1,x,0,x^2-2,-x^3+5*x]]; bsd[514,1] = 0 ; deg[514,1] = 1 ; dsc[514,1] = 1 ; E [514,1] = [x, [1,1,-2,1,-2]]; bsd[514,2] = 0 ; deg[514,2] = 1 ; dsc[514,2] = 1 ; E [514,2] = [x, [1,1,0,1,-2]]; bsd[514,3] = 1 ; deg[514,3] = 5*71 ; dsc[514,3] = 2^3*3 ; E [514,3] = [x^2-6, [1,-1,x,1,x]]; bsd[514,4] = 1 ; deg[514,4] = 5*37 ; dsc[514,4] = 2^2*37 ; E [514,4] = [x^3-2*x^2-4*x+4, [2,-2,2*x,2,x^2-2*x]]; bsd[514,5] = 0 ; deg[514,5] = 151 ; dsc[514,5] = 2^4*67*167 ; E [514,5] = [x^5-8*x^3+6*x-2, [1,-1,x,1,x^4+x^3-8*x^2-8*x+4]]; bsd[514,6] = 23*127/43 ; deg[514,6] = 23*127 ; dsc[514,6] = 2^10*43*4421*1878263 ; E [514,6] = [x^9-2*x^8-20*x^7+40*x^6+116*x^5-226*x^4-204*x^3+376*x^2+96*x-176, [5912,5912,5912*x,5912,197*x^8-38*x^7-4984*x^6+704*x^5+41260*x^4-3122*x^3-123316*x^2+2448*x+94880]]; bsd[515,1] = 0 ; deg[515,1] = 61 ; dsc[515,1] = 5^2*29 ; E [515,1] = [x^4+x^3-3*x^2-x+1, [1,x,x^3+x^2-3*x-1,x^2-2,1]]; bsd[515,2] = 0 ; deg[515,2] = 19 ; dsc[515,2] = 3^4*313*1373^2 ; E [515,2] = [x^8+3*x^7-13*x^6-37*x^5+43*x^4+98*x^3-68*x^2-72*x+48, [8,3*x^7+11*x^6-33*x^5-129*x^4+55*x^3+284*x^2-8*x-144,8*x,-2*x^7-6*x^6+22*x^5+70*x^4-34*x^3-152*x^2-12*x+80,-8]]; bsd[515,3] = 1/3 ; deg[515,3] = 5*613 ; dsc[515,3] = 2^3*5^2*989736973279 ; E [515,3] = [x^9-x^8-14*x^7+12*x^6+64*x^5-45*x^4-107*x^3+64*x^2+52*x-24, [4,4*x,x^8+x^7-12*x^6-12*x^5+44*x^4+43*x^3-53*x^2-42*x+16,4*x^2-8,-4]]; bsd[515,4] = 5*11/13 ; deg[515,4] = 5*11 ; dsc[515,4] = 2^3*2039603*6850467847*19539176819 ; E [515,4] = [x^14+x^13-22*x^12-18*x^11+188*x^10+120*x^9-778*x^8-354*x^7+1574*x^6+400*x^5-1345*x^4-43*x^3+284*x^2+20*x-8, [4,4*x,-3*x^13+3*x^12+60*x^11-68*x^10-432*x^9+536*x^8+1320*x^7-1758*x^6-1492*x^5+2192*x^4+187*x^3-551*x^2-22*x+24,4*x^2-8,4]]; bsd[516,1] = 0 ; deg[516,1] = 3 ; dsc[516,1] = 1 ; E [516,1] = [x, [1,0,-1,0,-2]]; bsd[516,2] = 1 ; deg[516,2] = 3 ; dsc[516,2] = 1 ; E [516,2] = [x, [1,0,-1,0,3]]; bsd[516,3] = 3 ; deg[516,3] = 3*7 ; dsc[516,3] = 1 ; E [516,3] = [x, [1,0,1,0,0]]; bsd[516,4] = 3 ; deg[516,4] = 3^2 ; dsc[516,4] = 1 ; E [516,4] = [x, [1,0,1,0,3]]; bsd[516,5] = 3 ; deg[516,5] = 3^2*17 ; dsc[516,5] = 3*11 ; E [516,5] = [x^2+x-8, [1,0,-1,0,x]]; bsd[516,6] = 1 ; deg[516,6] = 3^2*7 ; dsc[516,6] = 3*19 ; E [516,6] = [x^2-x-14, [1,0,1,0,x]]; bsd[517,1] = 1 ; deg[517,1] = 3^2 ; dsc[517,1] = 1 ; E [517,1] = [x, [1,0,3,-2,3]]; bsd[517,2] = 0 ; deg[517,2] = 3^3 ; dsc[517,2] = 1 ; E [517,2] = [x, [1,2,-1,2,-3]]; bsd[517,3] = 1 ; deg[517,3] = 3*5 ; dsc[517,3] = 1 ; E [517,3] = [x, [1,2,-1,2,3]]; bsd[517,4] = 0 ; deg[517,4] = 3^3 ; dsc[517,4] = 2^2*3 ; E [517,4] = [x^2+2*x-2, [1,x,-1,-2*x,x+1]]; bsd[517,5] = 1 ; deg[517,5] = 7*17*31 ; dsc[517,5] = 2^3 ; E [517,5] = [x^2-2, [1,x,3,0,x-1]]; bsd[517,6] = 1 ; deg[517,6] = 7^2 ; dsc[517,6] = 2^3 ; E [517,6] = [x^2-2, [1,x+1,x,2*x+1,x]]; bsd[517,7] = 1 ; deg[517,7] = 7*41 ; dsc[517,7] = 2^3 ; E [517,7] = [x^2-4*x+2, [1,x-1,x,2*x-3,-x]]; bsd[517,8] = 0 ; deg[517,8] = 3^4 ; dsc[517,8] = 2^2*101 ; E [517,8] = [x^3+4*x^2-2*x-14, [1,-1,x,-1,x^2+x-6]]; bsd[517,9] = 1 ; deg[517,9] = 5*17 ; dsc[517,9] = 2^2*37 ; E [517,9] = [x^3-x^2-5*x+1, [2,2*x,-x^2+2*x+3,2*x^2-4,-x^2+5]]; bsd[517,10] = 0 ; deg[517,10] = 1 ; dsc[517,10] = 2^6*8237*1887112417 ; E [517,10] = [x^10+6*x^9+3*x^8-40*x^7-56*x^6+79*x^5+148*x^4-41*x^3-112*x^2-8*x+4, [4,4*x,2*x^9+8*x^8-8*x^7-56*x^6-8*x^5+118*x^4+52*x^3-72*x^2-40*x-4,4*x^2-8,-x^9-5*x^8+2*x^7+38*x^6+18*x^5-93*x^4-47*x^3+72*x^2+16*x]]; bsd[517,11] = 1 ; deg[517,11] = 3^2*41 ; dsc[517,11] = 2^4*5*653*2357*13259*17011 ; E [517,11] = [x^10-3*x^9-13*x^8+41*x^7+54*x^6-189*x^5-75*x^4+345*x^3+x^2-206*x+36, [428,428*x,-42*x^9+98*x^8+540*x^7-1148*x^6-2320*x^5+3966*x^4+4082*x^3-3708*x^2-2728*x-300,428*x^2-856,76*x^9-106*x^8-1130*x^7+1364*x^6+5584*x^5-5648*x^4-10250*x^3+8330*x^2+5344*x-2820]]; bsd[518,1] = 1 ; deg[518,1] = 3^2*7*17 ; dsc[518,1] = 2^3 ; E [518,1] = [x^2-2, [1,-1,x,1,2*x]]; bsd[518,2] = 0 ; deg[518,2] = 3^2*5 ; dsc[518,2] = 5 ; E [518,2] = [x^2+3*x+1, [1,1,x,1,-x-3]]; bsd[518,3] = 13 ; deg[518,3] = 11*13 ; dsc[518,3] = 2^2*3 ; E [518,3] = [x^2-2*x-2, [1,1,x,1,0]]; bsd[518,4] = 0 ; deg[518,4] = 29 ; dsc[518,4] = 229 ; E [518,4] = [x^3+x^2-5*x+2, [1,-1,x,1,-x^2-2*x+2]]; bsd[518,5] = 1 ; deg[518,5] = 5*43 ; dsc[518,5] = 733 ; E [518,5] = [x^3-x^2-7*x+8, [1,-1,x,1,x^2-4]]; bsd[518,6] = 17 ; deg[518,6] = 3^2*17 ; dsc[518,6] = 2^4*13*41813 ; E [518,6] = [x^5-x^4-11*x^3+12*x^2+24*x-28, [1,1,x,1,-x^2+4]]; bsd[519,1] = 0 ; deg[519,1] = 7*41 ; dsc[519,1] = 7^2 ; E [519,1] = [x^3+2*x^2-x-1, [1,x,1,x^2-2,-x^2-2*x-1]]; bsd[519,2] = 0 ; deg[519,2] = 19 ; dsc[519,2] = 3^4 ; E [519,2] = [x^3-3*x-1, [1,x,-1,x^2-2,-x^2+1]]; bsd[519,3] = 811/29 ; deg[519,3] = 811 ; dsc[519,3] = 113*8123*17729*51798947 ; E [519,3] = [x^11-3*x^10-12*x^9+39*x^8+43*x^7-165*x^6-45*x^5+271*x^4-29*x^3-134*x^2+60*x-7, [17,17*x,17,17*x^2-34,-3*x^10+15*x^9+40*x^8-214*x^7-194*x^6+1019*x^5+477*x^4-1852*x^3-510*x^2+895*x-117]]; bsd[519,4] = 1 ; deg[519,4] = 1399*1723 ; dsc[519,4] = 179*1187*12946961855311969 ; E [519,4] = [x^12+2*x^11-19*x^10-37*x^9+128*x^8+244*x^7-352*x^6-664*x^5+316*x^4+597*x^3-24*x^2-27*x+1, [757,757*x,-757,757*x^2-1514,266*x^11+203*x^10-5325*x^9-3714*x^8+38044*x^7+24304*x^6-112895*x^5-65179*x^4+116762*x^3+53710*x^2-16239*x-2217]]; bsd[520,1] = 0 ; deg[520,1] = 1 ; dsc[520,1] = 1 ; E [520,1] = [x, [1,0,0,0,-1]]; bsd[520,2] = 1 ; deg[520,2] = 1 ; dsc[520,2] = 1 ; E [520,2] = [x, [1,0,2,0,1]]; bsd[520,3] = 0 ; deg[520,3] = 7 ; dsc[520,3] = 2^3 ; E [520,3] = [x^2+4*x+2, [1,0,x,0,1]]; bsd[520,4] = 0 ; deg[520,4] = 1 ; dsc[520,4] = 2^2*3 ; E [520,4] = [x^2+6*x+6, [1,0,x+2,0,-1]]; bsd[520,5] = 1 ; deg[520,5] = 13 ; dsc[520,5] = 2^2*3 ; E [520,5] = [x^2-2*x-2, [1,0,x-2,0,-1]]; bsd[520,6] = 1 ; deg[520,6] = 3 ; dsc[520,6] = 2^3*3 ; E [520,6] = [x^2-6, [1,0,x,0,1]]; bsd[520,7] = 1 ; deg[520,7] = 5 ; dsc[520,7] = 2^2*5 ; E [520,7] = [x^2-2*x-4, [1,0,x,0,-1]]; bsd[521,1] = 0 ; deg[521,1] = 1 ; dsc[521,1] = 1089951135204631559833 ; E [521,1] = [x^14+2*x^13-13*x^12-25*x^11+63*x^10+115*x^9-142*x^8-242*x^7+151*x^6+238*x^5-65*x^4-104*x^3+2*x^2+17*x+3, [1,x,4*x^12+9*x^11-48*x^10-109*x^9+203*x^8+475*x^7-353*x^6-903*x^5+199*x^4+714*x^3+40*x^2-179*x-42,x^2-2,-11*x^13-30*x^12+121*x^11+363*x^10-426*x^9-1575*x^8+398*x^7+2954*x^6+540*x^5-2237*x^4-979*x^3+451*x^2+338*x+52]]; bsd[521,2] = 1/5*13 ; deg[521,2] = 1 ; dsc[521,2] = 2^14*23*53*67*929*13877*531096383*19526270957*14340527343875384245648725589439 ; E [521,2] = [x^29-x^28-50*x^27+49*x^26+1112*x^25-1061*x^24-14511*x^23+13387*x^22+123412*x^21-109286*x^20-718385*x^19+606113*x^18+2924033*x^17-2333576*x^16-8348401*x^15+6263323*x^14+16508066*x^13-11605772*x^12-21923563*x^11+14498124*x^10+18478199*x^9-11710480*x^8-8913548*x^7+5683110*x^6+1973213*x^5-1428489*x^4-75206*x^3+126742*x^2-12580*x-647, [15952071500184876491392,15952071500184876491392*x,-20360845873524849930*x^28-66851853991782391784*x^27+1032562803481907643698*x^26+3144177844074969540214*x^25-23167023861041150061788*x^24-65049816152970746742474*x^23+302531552546116420909002*x^22+778469161295049987587274*x^21-2546110068775120763881686*x^20-5960044620212032336088362*x^19+14453892516105226820840312*x^18+30478604265298192841974410*x^17-56352206066565378140042222*x^16-105472617536097983357313288*x^15+150989320230402123466562742*x^14+244714737382719821058530486*x^13-274717315437413719549942276*x^12-368562816160853338278973032*x^11+332366090091863684188513484*x^10+337875668454755386565476244*x^9-260573264860820513332677654*x^8-166849272872033173306446590*x^7+127694280573551521933837080*x^6+33638168362263454728271304*x^5-35221086402812636959530724*x^4-236913046438715480345014*x^3+3796422315573595115530098*x^2-257265044755173372356572*x-49675262155498752400088,15952071500184876491392*x^2-31904143000369752982784,53265030254508563606*x^28+2958551576371109354*x^27-2713915506211991637026*x^26-89847273498722183712*x^25+61489124235390383451846*x^24+757538315778826432478*x^23-816752061167809746591488*x^22+5661886336317389722504*x^21+7059988066432207993685892*x^20-174638114460058888548076*x^19-41680809364520013861968026*x^18+1714580527812369986858234*x^17+171613653444810469661119008*x^16-9637314630864900652064174*x^15-494257288441873824944251586*x^14+34556216416114667082405048*x^13+983750206434202537828657306*x^12-81523383507647055974982924*x^11-1315252760169964619128479148*x^10+126632527610877769323271704*x^9+1123350034603063034341444694*x^8-126740495853675015619518784*x^7-562871026095283868401730030*x^6+76938176272780081454083800*x^5+142236263177515843682222932*x^4-24102563062808163099799266*x^3-13226214370601296222285352*x^2+2378488591225212217977974*x+128923122987773021739900]]; bsd[522,1] = 1/3 ; deg[522,1] = 5 ; dsc[522,1] = 1 ; E [522,1] = [x, [1,-1,0,1,-3]]; bsd[522,2] = 0 ; deg[522,2] = 3*5 ; dsc[522,2] = 1 ; E [522,2] = [x, [1,-1,0,1,-1]]; bsd[522,3] = 0 ; deg[522,3] = 3 ; dsc[522,3] = 1 ; E [522,3] = [x, [1,-1,0,1,-1]]; bsd[522,4] = 1 ; deg[522,4] = 7 ; dsc[522,4] = 1 ; E [522,4] = [x, [1,-1,0,1,1]]; bsd[522,5] = 1 ; deg[522,5] = 5*11 ; dsc[522,5] = 1 ; E [522,5] = [x, [1,-1,0,1,2]]; bsd[522,6] = 0 ; deg[522,6] = 3*5 ; dsc[522,6] = 1 ; E [522,6] = [x, [1,-1,0,1,3]]; bsd[522,7] = 0 ; deg[522,7] = 5 ; dsc[522,7] = 1 ; E [522,7] = [x, [1,1,0,1,-3]]; bsd[522,8] = 0 ; deg[522,8] = 13 ; dsc[522,8] = 1 ; E [522,8] = [x, [1,1,0,1,-3]]; bsd[522,9] = 1 ; deg[522,9] = 5 ; dsc[522,9] = 1 ; E [522,9] = [x, [1,1,0,1,-2]]; bsd[522,10] = 11 ; deg[522,10] = 3*5*11 ; dsc[522,10] = 1 ; E [522,10] = [x, [1,1,0,1,-2]]; bsd[522,11] = 1 ; deg[522,11] = 7 ; dsc[522,11] = 1 ; E [522,11] = [x, [1,1,0,1,3]]; bsd[522,12] = 1/3 ; deg[522,12] = 5 ; dsc[522,12] = 1 ; E [522,12] = [x, [1,1,0,1,3]]; bsd[522,13] = 11 ; deg[522,13] = 5*7*11 ; dsc[522,13] = 1 ; E [522,13] = [x, [1,1,0,1,3]]; bsd[523,1] = 0 ; deg[523,1] = 149 ; dsc[523,1] = 5 ; E [523,1] = [x^2+3*x+1, [1,x,x,-3*x-3,2*x+3]]; bsd[523,2] = 0 ; deg[523,2] = 149 ; dsc[523,2] = 41^3*279121937*8371971617 ; E [523,2] = [x^15+6*x^14-2*x^13-71*x^12-72*x^11+308*x^10+492*x^9-587*x^8-1283*x^7+418*x^6+1526*x^5+33*x^4-774*x^3-85*x^2+141*x+8, [839,839*x,-1534*x^14-7830*x^13+8691*x^12+92524*x^11+26054*x^10-413837*x^9-270741*x^8+894231*x^7+648304*x^6-992240*x^5-607298*x^4+552048*x^3+197512*x^2-123068*x-6078,839*x^2-1678,-129*x^14-222*x^13+3803*x^12+10173*x^11-25053*x^10-90319*x^9+45636*x^8+310226*x^7+42325*x^6-455476*x^5-165092*x^4+260557*x^3+82453*x^2-53846*x-6406]]; bsd[523,3] = 1/3*29 ; deg[523,3] = 1 ; dsc[523,3] = 2^7*3*59*1201*9059602909494267071628228952878552757512056969593 ; E [523,3] = [x^26-9*x^25-x^24+231*x^23-464*x^22-2306*x^21+7763*x^20+10298*x^19-60057*x^18-8015*x^17+266789*x^16-125796*x^15-723565*x^14+622138*x^13+1202991*x^12-1407289*x^11-1178824*x^10+1766306*x^9+617378*x^8-1241966*x^7-135947*x^6+462396*x^5+400*x^4-78680*x^3+2576*x^2+4032*x-384, [2289319313352398368,2289319313352398368*x,-1744909191643757133*x^25+11842261468743696353*x^24+27932964963353956025*x^23-341107522027278616991*x^22+55047669686791966524*x^21+4141463138046402331202*x^20-4379456151064972346943*x^19-27612164057801918067518*x^18+43633685146094949655525*x^17+110232397387482890243879*x^16-221064941075420536512189*x^15-268523807059819992958056*x^14+665822016008650607159697*x^13+385294664150165990970242*x^12-1239369031825255832360291*x^11-284376143295439765981303*x^10+1415563617518896195053268*x^9+50634927472652889399678*x^8-953376915002879509531554*x^7+54129624312540498576302*x^6+350855636594130228756167*x^5-27469989575361515133904*x^4-60018055224157140665976*x^3+3436572036936460541128*x^2+2985177272377650490800*x-301244445920913429440,2289319313352398368*x^2-4578638626704796736,-2576743165335174717*x^25+17419887820216244697*x^24+41670420333354569225*x^23-502426369513402114719*x^22+68999240474027926652*x^21+6111440058499571815322*x^20-6315171769756522772015*x^19-40858611679434054923894*x^18+63391623505511946490653*x^17+163815012862079032096831*x^16-322094618435161661582877*x^15-401956229795525987868232*x^14+971783635556864974039401*x^13+584942930106700055547498*x^12-1811296127560778547221643*x^11-447689048994828058421695*x^10+2071375696174178056207060*x^9+102524512313806795258246*x^8-1396944068781497644510258*x^7+65278324236967609151422*x^6+514937043669906766115687*x^5-37157905168949119516072*x^4-88342406865752624689184*x^3+4868996499690741664536*x^2+4444039429872671130448*x-445626917166976771776]]; bsd[524,1] = 0 ; deg[524,1] = 3*5 ; dsc[524,1] = 1 ; E [524,1] = [x, [1,0,1,0,-2]]; bsd[524,2] = 0 ; deg[524,2] = 3^2*5 ; dsc[524,2] = 5 ; E [524,2] = [x^2+3*x+1, [1,0,x,0,-x-1]]; bsd[524,3] = 1 ; deg[524,3] = 3^3*73 ; dsc[524,3] = 2^3*3^3*571 ; E [524,3] = [x^4-x^3-12*x^2+7*x+29, [2,0,2*x,0,2*x-2]]; bsd[524,4] = 3^2 ; deg[524,4] = 3^4*73 ; dsc[524,4] = 3*1327 ; E [524,4] = [x^4-3*x^3-2*x^2+6*x+3, [1,0,x,0,-x^3+2*x^2+x]]; bsd[525,1] = 0 ; deg[525,1] = 3 ; dsc[525,1] = 1 ; E [525,1] = [x, [1,-1,-1,-1,0]]; bsd[525,2] = 0 ; deg[525,2] = 3 ; dsc[525,2] = 1 ; E [525,2] = [x, [1,-1,1,-1,0]]; bsd[525,3] = 0 ; deg[525,3] = 3*5 ; dsc[525,3] = 1 ; E [525,3] = [x, [1,1,-1,-1,0]]; bsd[525,4] = 1 ; deg[525,4] = 1 ; dsc[525,4] = 1 ; E [525,4] = [x, [1,1,-1,-1,0]]; bsd[525,5] = 0 ; deg[525,5] = 3^2*5*11 ; dsc[525,5] = 5 ; E [525,5] = [x^2+3*x+1, [1,x,-1,-3*x-3,0]]; bsd[525,6] = 0 ; deg[525,6] = 3^2 ; dsc[525,6] = 13 ; E [525,6] = [x^2+x-3, [1,x,-1,-x+1,0]]; bsd[525,7] = 5 ; deg[525,7] = 3^2*5 ; dsc[525,7] = 2^2*5 ; E [525,7] = [x^2-5, [1,x,1,3,0]]; bsd[525,8] = 1 ; deg[525,8] = 3^2*5^2 ; dsc[525,8] = 13 ; E [525,8] = [x^2-x-3, [1,x,1,x+1,0]]; bsd[525,9] = 1 ; deg[525,9] = 3^2*5*11 ; dsc[525,9] = 5 ; E [525,9] = [x^2-3*x+1, [1,x,1,3*x-3,0]]; bsd[525,10] = 5 ; deg[525,10] = 5^3 ; dsc[525,10] = 2^4*37 ; E [525,10] = [x^3+x^2-5*x-1, [1,x,1,x^2-2,0]]; bsd[525,11] = 1 ; deg[525,11] = 5^2 ; dsc[525,11] = 2^4*37 ; E [525,11] = [x^3-x^2-5*x+1, [1,x,-1,x^2-2,0]]; bsd[526,1] = 1 ; deg[526,1] = 23*31 ; dsc[526,1] = 2^3 ; E [526,1] = [x^2-8, [2,-2,2*x,2,-x+6]]; bsd[526,2] = 0 ; deg[526,2] = 53 ; dsc[526,2] = 19*103 ; E [526,2] = [x^4-x^3-4*x^2+2*x+3, [1,-1,x,1,x^3-x^2-3*x]]; bsd[526,3] = 0 ; deg[526,3] = 19*389 ; dsc[526,3] = 5^2*29 ; E [526,3] = [x^4+5*x^3+6*x^2-1, [1,1,x,1,x^3+3*x^2-x-4]]; bsd[526,4] = 1 ; deg[526,4] = 23*70841 ; dsc[526,4] = 127*2371 ; E [526,4] = [x^5+3*x^4-4*x^3-10*x^2+7*x+4, [1,-1,x,1,x^3+3*x^2-x-4]]; bsd[526,5] = 271/11 ; deg[526,5] = 271 ; dsc[526,5] = 2^4*5^3*10501 ; E [526,5] = [x^6-3*x^5-6*x^4+20*x^3+3*x^2-32*x+16, [2,2,2*x,2,x^5-x^4-10*x^3+6*x^2+21*x-10]]; bsd[527,1] = 1 ; deg[527,1] = 241 ; dsc[527,1] = 5 ; E [527,1] = [x^2-x-1, [1,x,2*x-1,x-1,0]]; bsd[527,2] = 0 ; deg[527,2] = 7*11 ; dsc[527,2] = 17*4153 ; E [527,2] = [x^5+2*x^4-5*x^3-7*x^2+7*x+1, [1,x,-x^4-x^3+4*x^2+2*x-2,x^2-2,x^3-5*x+1]]; bsd[527,3] = 0 ; deg[527,3] = 1 ; dsc[527,3] = 559308637 ; E [527,3] = [x^7+x^6-8*x^5-8*x^4+15*x^3+13*x^2-8*x-5, [1,x,-x^6+8*x^4-15*x^2+x+6,x^2-2,-x^6+7*x^4-9*x^2+2*x+1]]; bsd[527,4] = 1/3^2 ; deg[527,4] = 109*241 ; dsc[527,4] = 61*1609*14018898700321 ; E [527,4] = [x^11+2*x^10-17*x^9-34*x^8+101*x^7+202*x^6-238*x^5-469*x^4+182*x^3+295*x^2-83*x-3, [13,13*x,-5*x^10-x^9+79*x^8+7*x^7-437*x^6+21*x^5+978*x^4-211*x^3-720*x^2+289*x+4,13*x^2-26,7*x^10+4*x^9-121*x^8-54*x^7+734*x^6+241*x^5-1780*x^4-352*x^3+1333*x^2-77*x-42]]; bsd[527,5] = 1 ; deg[527,5] = 3^2 ; dsc[527,5] = 5*653*3245738052521*17823312897801869 ; E [527,5] = [x^16-3*x^15-22*x^14+70*x^13+179*x^12-631*x^11-642*x^10+2789*x^9+792*x^8-6335*x^7+903*x^6+6928*x^5-3096*x^4-2631*x^3+2063*x^2-344*x-11, [7121412,7121412*x,3893501*x^15-9863252*x^14-90461907*x^13+231499103*x^12+808373819*x^11-2105046931*x^10-3495865340*x^9+9433580994*x^8+7441538148*x^7-21951450889*x^6-6289172672*x^5+25272409501*x^4-1264122919*x^3-11447976029*x^2+3425180013*x+108896486,7121412*x^2-14242824,-2015909*x^15+4841258*x^14+46991907*x^13-112886345*x^12-422441153*x^11+1017321721*x^10+1848003758*x^9-4504755078*x^8-4032639756*x^7+10326542689*x^6+3680892074*x^5-11695757197*x^4+191643925*x^3+5229310079*x^2-1577146599*x-33940676]]; bsd[528,1] = 1 ; deg[528,1] = 3*5 ; dsc[528,1] = 1 ; E [528,1] = [x, [1,0,-1,0,-4]]; bsd[528,2] = 1 ; deg[528,2] = 3 ; dsc[528,2] = 1 ; E [528,2] = [x, [1,0,-1,0,-2]]; bsd[528,3] = 0 ; deg[528,3] = 1 ; dsc[528,3] = 1 ; E [528,3] = [x, [1,0,-1,0,0]]; bsd[528,4] = 0 ; deg[528,4] = 3 ; dsc[528,4] = 1 ; E [528,4] = [x, [1,0,-1,0,0]]; bsd[528,5] = 1 ; deg[528,5] = 3 ; dsc[528,5] = 1 ; E [528,5] = [x, [1,0,-1,0,2]]; bsd[528,6] = 1 ; deg[528,6] = 3*7 ; dsc[528,6] = 1 ; E [528,6] = [x, [1,0,-1,0,4]]; bsd[528,7] = 0 ; deg[528,7] = 3 ; dsc[528,7] = 1 ; E [528,7] = [x, [1,0,1,0,-2]]; bsd[528,8] = 5 ; deg[528,8] = 3*5 ; dsc[528,8] = 1 ; E [528,8] = [x, [1,0,1,0,2]]; bsd[528,9] = 1 ; deg[528,9] = 1 ; dsc[528,9] = 1 ; E [528,9] = [x, [1,0,1,0,2]]; bsd[528,10] = 1 ; deg[528,10] = 3 ; dsc[528,10] = 1 ; E [528,10] = [x, [1,0,1,0,2]]; bsd[529,1] = 1 ; deg[529,1] = 3^2*11 ; dsc[529,1] = 5 ; E [529,1] = [x^2+x-1, [1,x,-2*x-1,-x-1,-2*x]]; bsd[529,2] = 1 ; deg[529,2] = 3^2*23 ; dsc[529,2] = 2^2*3 ; E [529,2] = [x^2+6*x+6, [1,x+3,x+4,1,x+3]]; bsd[529,3] = 1 ; deg[529,3] = 3^2 ; dsc[529,3] = 2^2*3 ; E [529,3] = [x^2-6*x+6, [1,-x+3,-x+4,1,x-3]]; bsd[529,4] = 1 ; deg[529,4] = 3^2*23 ; dsc[529,4] = 2^3 ; E [529,4] = [x^2+2*x-7, [2,x+3,x+1,2*x+4,2*x]]; bsd[529,5] = 1 ; deg[529,5] = 3^2 ; dsc[529,5] = 2^3 ; E [529,5] = [x^2-2*x-7, [2,-x+3,-x+1,-2*x+4,2*x]]; bsd[529,6] = 1 ; deg[529,6] = 3^2*23 ; dsc[529,6] = 3^3*23 ; E [529,6] = [x^3-6*x-3, [1,x,-x^2+x+4,x^2-2,0]]; bsd[529,7] = 0 ; deg[529,7] = 3^2*23 ; dsc[529,7] = 2^8*3^2 ; E [529,7] = [x^4-4*x^2+1, [1,-1,-x^2+1,-1,x]]; bsd[529,8] = 0 ; deg[529,8] = 3^2*23 ; dsc[529,8] = 2^6*13^2 ; E [529,8] = [x^4-14*x^2+36, [6,-3*x^2+18,-6,3*x^2-12,6*x]]; bsd[529,9] = 0 ; deg[529,9] = 11*23^2 ; dsc[529,9] = 11^4 ; E [529,9] = [x^5+7*x^4+13*x^3-6*x^2-35*x-23, [1,-3*x^4-17*x^3-16*x^2+40*x+51,2*x^4+12*x^3+13*x^2-28*x-39,2*x^4+10*x^3+6*x^2-25*x-23,x]]; bsd[529,10] = 1 ; deg[529,10] = 11*23^3 ; dsc[529,10] = 11^4 ; E [529,10] = [x^5-7*x^4+13*x^3+6*x^2-35*x+23, [1,-3*x^4+17*x^3-16*x^2-40*x+51,2*x^4-12*x^3+13*x^2+28*x-39,2*x^4-10*x^3+6*x^2+25*x-23,x]]; bsd[530,1] = 0 ; deg[530,1] = 3*5^2 ; dsc[530,1] = 1 ; E [530,1] = [x, [1,-1,-3,1,1]]; bsd[530,2] = 0 ; deg[530,2] = 3 ; dsc[530,2] = 1 ; E [530,2] = [x, [1,-1,0,1,1]]; bsd[530,3] = 1/3 ; deg[530,3] = 7 ; dsc[530,3] = 1 ; E [530,3] = [x, [1,-1,1,1,-1]]; bsd[530,4] = 0 ; deg[530,4] = 3 ; dsc[530,4] = 1 ; E [530,4] = [x, [1,1,-1,1,-1]]; bsd[530,5] = 1 ; deg[530,5] = 3*7^2*19 ; dsc[530,5] = 3*643 ; E [530,5] = [x^3+x^2-10*x-13, [1,-1,x,1,-1]]; bsd[530,6] = 5/3 ; deg[530,6] = 3*5*7^2 ; dsc[530,6] = 257 ; E [530,6] = [x^3-3*x^2-2*x+7, [1,-1,x,1,1]]; bsd[530,7] = 7^2/3 ; deg[530,7] = 3^3*7^2 ; dsc[530,7] = 5*11117 ; E [530,7] = [x^4-x^3-10*x^2+9*x+16, [1,1,x,1,-1]]; bsd[530,8] = 11 ; deg[530,8] = 11*13 ; dsc[530,8] = 431*6791 ; E [530,8] = [x^5-4*x^4-3*x^3+23*x^2-19*x+4, [1,1,x,1,1]]; bsd[531,1] = 0 ; deg[531,1] = 1 ; dsc[531,1] = 5 ; E [531,1] = [x^2+x-1, [1,x,0,-x-1,-1]]; bsd[531,2] = 0 ; deg[531,2] = 1 ; dsc[531,2] = 5 ; E [531,2] = [x^2-x-1, [1,x,0,x-1,-2*x+1]]; bsd[531,3] = 1 ; deg[531,3] = 31 ; dsc[531,3] = 5 ; E [531,3] = [x^2-3*x+1, [1,x,0,3*x-3,3]]; bsd[531,4] = 1 ; deg[531,4] = 229 ; dsc[531,4] = 229 ; E [531,4] = [x^3-4*x+1, [1,x,0,x^2-2,x^2+x-2]]; bsd[531,5] = 0 ; deg[531,5] = 1 ; dsc[531,5] = 2^4*15427 ; E [531,5] = [x^5+3*x^4-3*x^3-11*x^2+x+5, [1,x,0,x^2-2,-x^3-x^2+3*x-1]]; bsd[531,6] = 1 ; deg[531,6] = 31*229 ; dsc[531,6] = 2^3*31*557 ; E [531,6] = [x^5-9*x^3-2*x^2+16*x+8, [4,4*x,0,4*x^2-8,-3*x^4+2*x^3+23*x^2-12*x-28]]; bsd[531,7] = 1 ; deg[531,7] = 3^5 ; dsc[531,7] = 2^4*15427 ; E [531,7] = [x^5-3*x^4-3*x^3+11*x^2+x-5, [1,x,0,x^2-2,-x^3+x^2+3*x+1]]; bsd[532,1] = 1 ; deg[532,1] = 3*5 ; dsc[532,1] = 1 ; E [532,1] = [x, [1,0,0,0,-2]]; bsd[532,2] = 0 ; deg[532,2] = 3^2*11 ; dsc[532,2] = 5 ; E [532,2] = [x^2+3*x+1, [1,0,x,0,-1]]; bsd[532,3] = 1 ; deg[532,3] = 3^2*5 ; dsc[532,3] = 3*7 ; E [532,3] = [x^2+x-5, [1,0,x,0,3]]; bsd[532,4] = 0 ; deg[532,4] = 3^2 ; dsc[532,4] = 5 ; E [532,4] = [x^2-x-1, [1,0,x,0,-2*x-1]]; bsd[532,5] = 1 ; deg[532,5] = 3^3*5 ; dsc[532,5] = 733 ; E [532,5] = [x^3+x^2-7*x-8, [1,0,x,0,-x^2+x+6]]; bsd[533,1] = 1 ; deg[533,1] = 127 ; dsc[533,1] = 2^3 ; E [533,1] = [x^2-2*x-1, [1,x,x,2*x-1,-2*x+2]]; bsd[533,2] = 0 ; deg[533,2] = 37 ; dsc[533,2] = 1409*53657 ; E [533,2] = [x^7+2*x^6-6*x^5-12*x^4+9*x^3+19*x^2-x-5, [1,x,x^6+x^5-6*x^4-5*x^3+9*x^2+6*x-3,x^2-2,-x^5+5*x^3-x^2-5*x+1]]; bsd[533,3] = 1/7 ; deg[533,3] = 127*137 ; dsc[533,3] = 7*32029*194827 ; E [533,3] = [x^8-x^7-10*x^6+8*x^5+31*x^4-22*x^3-28*x^2+22*x-3, [1,x,x^7-x^6-9*x^5+6*x^4+24*x^3-10*x^2-17*x+6,x^2-2,x^7-2*x^6-7*x^5+12*x^4+14*x^3-18*x^2-6*x+4]]; bsd[533,4] = 0 ; deg[533,4] = 1 ; dsc[533,4] = 2^6*37*6185477*26549333 ; E [533,4] = [x^11+2*x^10-14*x^9-26*x^8+64*x^7+103*x^6-117*x^5-149*x^4+65*x^3+71*x^2+5*x-1, [112,112*x,21*x^10+49*x^9-301*x^8-637*x^7+1463*x^6+2520*x^5-3087*x^4-3612*x^3+2345*x^2+1638*x-175,112*x^2-224,32*x^10+66*x^9-436*x^8-854*x^7+1880*x^6+3326*x^5-3026*x^4-4552*x^3+1120*x^2+1866*x+246]]; bsd[533,5] = 1/3*7 ; deg[533,5] = 1 ; dsc[533,5] = 2^11*7*146059*190997*3082917793 ; E [533,5] = [x^13-21*x^11+166*x^9+x^8-613*x^7-16*x^6+1074*x^5+72*x^4-822*x^3-76*x^2+215*x+27, [328,328*x,-10*x^12+30*x^11+202*x^10-606*x^9-1482*x^8+4436*x^7+4794*x^6-14140*x^5-6942*x^4+18548*x^3+5302*x^2-7848*x-1484,328*x^2-656,-20*x^12-22*x^11+404*x^10+428*x^9-2964*x^8-3100*x^7+9506*x^6+10342*x^5-12654*x^4-15630*x^3+5602*x^2+7510*x-426]]; bsd[534,1] = 0 ; deg[534,1] = 3 ; dsc[534,1] = 1 ; E [534,1] = [x, [1,1,-1,1,-2]]; bsd[534,2] = 0 ; deg[534,2] = 7*17 ; dsc[534,2] = 2^3 ; E [534,2] = [x^2-4*x+2, [1,-1,-1,1,-2]]; bsd[534,3] = 1 ; deg[534,3] = 3^2*17 ; dsc[534,3] = 13 ; E [534,3] = [x^2-3*x-1, [1,-1,-1,1,x]]; bsd[534,4] = 19 ; deg[534,4] = 5*11*19 ; dsc[534,4] = 5 ; E [534,4] = [x^2-x-1, [1,1,-1,1,x]]; bsd[534,5] = 23/3 ; deg[534,5] = 3*23*31 ; dsc[534,5] = 2^3*23*577 ; E [534,5] = [x^4-3*x^3-13*x^2+32*x+12, [8,-8,8,8,8*x]]; bsd[534,6] = 71 ; deg[534,6] = 11*71 ; dsc[534,6] = 2^2*5^2*11*19 ; E [534,6] = [x^4-x^3-13*x^2+16*x-4, [4,4,4,4,4*x]]; bsd[535,1] = 0 ; deg[535,1] = 29 ; dsc[535,1] = 7^2 ; E [535,1] = [x^3+2*x^2-x-1, [1,x,0,x^2-2,1]]; bsd[535,2] = 0 ; deg[535,2] = 19 ; dsc[535,2] = 2^2*19713838019 ; E [535,2] = [x^8+4*x^7-4*x^6-27*x^5-3*x^4+49*x^3+14*x^2-24*x-8, [4,4*x,-2*x^7-6*x^6+12*x^5+38*x^4-20*x^3-60*x^2+14*x+20,4*x^2-8,-4]]; bsd[535,3] = 1 ; deg[535,3] = 11279 ; dsc[535,3] = 2^6*147503*952111 ; E [535,3] = [x^9-5*x^8+31*x^6-29*x^5-47*x^4+59*x^3+2*x^2-8*x-1, [1,x,x^8-4*x^7-3*x^6+25*x^5-9*x^4-39*x^3+25*x^2+4*x-1,x^2-2,-1]]; bsd[535,4] = 5*11/3^2 ; deg[535,4] = 5*11 ; dsc[535,4] = 2^8*4023484929050013915717969601 ; E [535,4] = [x^15-4*x^14-18*x^13+85*x^12+103*x^11-685*x^10-108*x^9+2595*x^8-846*x^7-4594*x^6+2565*x^5+3187*x^4-1951*x^3-470*x^2+136*x+24, [3425404,3425404*x,182728*x^14-793904*x^13-3032442*x^12+16649166*x^11+13393358*x^10-131655728*x^9+23747122*x^8+483724480*x^7-317244088*x^6-805612798*x^5+745118806*x^4+467633878*x^3-518190552*x^2-1115262*x+26049796,3425404*x^2-6850808,3425404]]; bsd[536,1] = 0 ; deg[536,1] = 1 ; dsc[536,1] = 5 ; E [536,1] = [x^2+x-1, [1,0,x,0,-1]]; bsd[536,2] = 0 ; deg[536,2] = 1 ; dsc[536,2] = 229 ; E [536,2] = [x^3+3*x^2-x-2, [1,0,x,0,-x^2-3*x]]; bsd[536,3] = 1 ; deg[536,3] = 163 ; dsc[536,3] = 733 ; E [536,3] = [x^3-3*x^2-7*x+20, [1,0,x,0,x^2-x-6]]; bsd[536,4] = 1 ; deg[536,4] = 163 ; dsc[536,4] = 10889 ; E [536,4] = [x^4+3*x^3-2*x^2-7*x-2, [1,0,x,0,-x^3-2*x^2+5*x+4]]; bsd[536,5] = 1 ; deg[536,5] = 1 ; dsc[536,5] = 648101 ; E [536,5] = [x^5-4*x^4-2*x^3+16*x^2-x-15, [1,0,x,0,-x^4+3*x^3+3*x^2-6*x-3]]; bsd[537,1] = 1/5 ; deg[537,1] = 3 ; dsc[537,1] = 1 ; E [537,1] = [x, [1,-2,1,2,1]]; bsd[537,2] = 1/3 ; deg[537,2] = 1 ; dsc[537,2] = 1 ; E [537,2] = [x, [1,0,1,-2,-3]]; bsd[537,3] = 1 ; deg[537,3] = 1 ; dsc[537,3] = 1 ; E [537,3] = [x, [1,0,1,-2,1]]; bsd[537,4] = 1 ; deg[537,4] = 13 ; dsc[537,4] = 1 ; E [537,4] = [x, [1,1,-1,-1,0]]; bsd[537,5] = 1 ; deg[537,5] = 3 ; dsc[537,5] = 1 ; E [537,5] = [x, [1,1,1,-1,4]]; bsd[537,6] = 13 ; deg[537,6] = 13 ; dsc[537,6] = 17 ; E [537,6] = [x^2-x-4, [1,x,1,x+2,-x+1]]; bsd[537,7] = 7 ; deg[537,7] = 7 ; dsc[537,7] = 2^5 ; E [537,7] = [x^2-4*x-4, [1,2,1,2,1]]; bsd[537,8] = 0 ; deg[537,8] = 6163 ; dsc[537,8] = 2^6*37^3 ; E [537,8] = [x^6+10*x^5+22*x^4-28*x^3-72*x^2-36*x-4, [10,-2*x^5-21*x^4-47*x^3+70*x^2+154*x+34,10,3*x^5+29*x^4+58*x^3-100*x^2-206*x-36,6*x^5+58*x^4+106*x^3-230*x^2-312*x-82]]; bsd[537,9] = 0 ; deg[537,9] = 29 ; dsc[537,9] = 2^6*5^3*19^2 ; E [537,9] = [x^6+2*x^5-6*x^4-10*x^3+8*x^2+8*x-4, [2,2*x,-2,2*x^2-4,-x^5-2*x^4+4*x^3+8*x^2-2]]; bsd[537,10] = 1 ; deg[537,10] = 32801 ; dsc[537,10] = 2^6*401*487*383267 ; E [537,10] = [x^8-2*x^7-13*x^6+22*x^5+54*x^4-66*x^3-72*x^2+32*x+12, [4,4*x,-4,4*x^2-8,2*x^6-2*x^5-20*x^4+12*x^3+52*x^2-8*x-20]]; bsd[538,1] = 0 ; deg[538,1] = 71 ; dsc[538,1] = 5 ; E [538,1] = [x^2+x-1, [1,1,x,1,-x-3]]; bsd[538,2] = 1/3 ; deg[538,2] = 3^2*13 ; dsc[538,2] = 13 ; E [538,2] = [x^2-x-3, [1,1,x,1,-x+1]]; bsd[538,3] = 1 ; deg[538,3] = 9431 ; dsc[538,3] = 17^3 ; E [538,3] = [x^4-3*x^3-3*x^2+10*x-4, [2,-2,2*x,2,-2*x^3+4*x^2+10*x-8]]; bsd[538,4] = 0 ; deg[538,4] = 3^2*5^2 ; dsc[538,4] = 457*1679261 ; E [538,4] = [x^7+4*x^6-6*x^5-30*x^4+31*x^2+2*x-3, [179,-179,179*x,179,-74*x^6-262*x^5+516*x^4+1891*x^3-506*x^2-1689*x+62]]; bsd[538,5] = 3^2*19/5 ; deg[538,5] = 3^3*13*19 ; dsc[538,5] = 5*14741*234293 ; E [538,5] = [x^7-x^6-16*x^5+19*x^4+63*x^3-87*x^2-10*x+12, [182,182,182*x,182,4*x^6-40*x^5-68*x^4+506*x^3+248*x^2-1306*x+248]]; bsd[539,1] = 0 ; deg[539,1] = 3^2 ; dsc[539,1] = 1 ; E [539,1] = [x, [1,-2,1,2,-1]]; bsd[539,2] = 1 ; deg[539,2] = 5 ; dsc[539,2] = 1 ; E [539,2] = [x, [1,0,-1,-2,-3]]; bsd[539,3] = 1 ; deg[539,3] = 3 ; dsc[539,3] = 1 ; E [539,3] = [x, [1,0,3,-2,1]]; bsd[539,4] = 0 ; deg[539,4] = 3^2 ; dsc[539,4] = 1 ; E [539,4] = [x, [1,1,-2,-1,2]]; bsd[539,5] = 0 ; deg[539,5] = 7 ; dsc[539,5] = 2^3 ; E [539,5] = [x^2-2, [1,-1,x,-1,-x]]; bsd[539,6] = 1 ; deg[539,6] = 3^2*5 ; dsc[539,6] = 2^2*5 ; E [539,6] = [x^2-5, [1,x,x-1,3,2]]; bsd[539,7] = 0 ; deg[539,7] = 3^2 ; dsc[539,7] = 3^4 ; E [539,7] = [x^3+3*x^2-1, [1,-x^2-2*x+1,x,-x^2-3*x,x^2+3*x-2]]; bsd[539,8] = 0 ; deg[539,8] = 3^3*7 ; dsc[539,8] = 257 ; E [539,8] = [x^3+x^2-4*x-3, [1,x^2-3,x,-x^2-x+4,-x^2-x+2]]; bsd[539,9] = 1 ; deg[539,9] = 3^3*7^2 ; dsc[539,9] = 257 ; E [539,9] = [x^3-x^2-4*x+3, [1,x^2-3,x,-x^2+x+4,x^2-x-2]]; bsd[539,10] = 1 ; deg[539,10] = 3^2*7^3 ; dsc[539,10] = 3^4 ; E [539,10] = [x^3-3*x^2+1, [1,-x^2+2*x+1,x,-x^2+3*x,-x^2+3*x+2]]; bsd[539,11] = 1 ; deg[539,11] = 7^2 ; dsc[539,11] = 2^7*17^2 ; E [539,11] = [x^4-7*x^2+8, [1,x^2-3,x,x^2-1,-x^3+4*x]]; bsd[539,12] = 1/7 ; deg[539,12] = 7^4 ; dsc[539,12] = 2^23*281^2*359^2 ; E [539,12] = [x^10-26*x^8+245*x^6-1038*x^4+1884*x^2-968, [88,22*x^8-484*x^6+3454*x^4-9020*x^2+5544,88*x,-110*x^8+2376*x^6-16478*x^4+41360*x^2-23584,-71*x^9+1516*x^7-10355*x^5+25672*x^3-14876*x]]; bsd[540,1] = 0 ; deg[540,1] = 3^3 ; dsc[540,1] = 1 ; E [540,1] = [x, [1,0,0,0,-1]]; bsd[540,2] = 0 ; deg[540,2] = 3^3 ; dsc[540,2] = 1 ; E [540,2] = [x, [1,0,0,0,-1]]; bsd[540,3] = 1/3 ; deg[540,3] = 3^2 ; dsc[540,3] = 1 ; E [540,3] = [x, [1,0,0,0,-1]]; bsd[540,4] = 0 ; deg[540,4] = 3^2 ; dsc[540,4] = 1 ; E [540,4] = [x, [1,0,0,0,1]]; bsd[540,5] = 1 ; deg[540,5] = 3^2 ; dsc[540,5] = 1 ; E [540,5] = [x, [1,0,0,0,1]]; bsd[540,6] = 1 ; deg[540,6] = 3^2 ; dsc[540,6] = 1 ; E [540,6] = [x, [1,0,0,0,1]]; bsd[541,1] = 0 ; deg[541,1] = 1 ; dsc[541,1] = 13*277*307*591581*1940573213*221136462575339 ; E [541,1] = [x^20+5*x^19-15*x^18-105*x^17+53*x^16+888*x^15+248*x^14-3950*x^13-2525*x^12+10014*x^11+8292*x^10-14513*x^9-13426*x^8+11322*x^7+10779*x^6-4166*x^5-3649*x^4+669*x^3+389*x^2-45*x-9, [1654285911,1654285911*x,-45001332*x^19-644057679*x^18-1247599797*x^17+10973963649*x^16+35237545038*x^15-66053062806*x^14-301226091186*x^13+152645392440*x^12+1262903560236*x^11+37811653266*x^10-2901374251197*x^9-822066795321*x^8+3685384216026*x^7+1479346964172*x^6-2419357312344*x^5-1057012253571*x^4+679847332578*x^3+274876356036*x^2-48545667558*x-13739064636,1654285911*x^2-3308571822,587977450*x^19+3295490846*x^18-6440766846*x^17-63590523654*x^16-11327793070*x^15+479134207380*x^14+429956365655*x^13-1824851482790*x^12-2378833489103*x^11+3724605525885*x^10+6158844147483*x^9-3835063216826*x^8-8325118124245*x^7+1380934636671*x^6+5614844066433*x^5+442163614207*x^4-1544794811089*x^3-297472974900*x^2+100085947697*x+18194856135]]; bsd[541,2] = 1/3^2*5 ; deg[541,2] = 1 ; dsc[541,2] = 2^6*3^2*5*1453183329662653*18044474614550745414465332996771 ; E [541,2] = [x^24-3*x^23-31*x^22+97*x^21+402*x^20-1333*x^19-2825*x^18+10187*x^17+11576*x^16-47520*x^15-27272*x^14+139733*x^13+31933*x^12-258608*x^11-4817*x^10+293651*x^9-26127*x^8-196645*x^7+21140*x^6+74903*x^5-4562*x^4-14861*x^3-379*x^2+1179*x+153, [49952994319061080,49952994319061080*x,14338980713544416*x^23-52122589585273516*x^22-411082568998233348*x^21+1649408690740288656*x^20+4708802476712262704*x^19-22026063624950931280*x^18-26450156899068647420*x^17+161851818356888760052*x^16+63034109394496084000*x^15-714156087033690377540*x^14+61203884872826035208*x^13+1933658128273605968604*x^12-758675579298118991004*x^11-3144529708125276747976*x^10+1888011050748107656236*x^9+2881150802489953596308*x^8-2131076250981584275416*x^7-1345785464317451409152*x^6+1087961161743352203636*x^5+322583665897540683040*x^4-240988356316047549392*x^3-43803723603144737840*x^2+18619098647422293436*x+3284289084493868956,49952994319061080*x^2-99905988638122160,45167585389775419*x^23-166091077005862014*x^22-1287594507075157057*x^21+5253462976261314784*x^20+14595121948137837166*x^19-70100654466263917105*x^18-80052652390866997920*x^17+514464063335512301263*x^16+173804438793932389365*x^15-2265210598381310955955*x^14+305821612417581679267*x^13+6110562567096488857526*x^12-2708272285514998844261*x^11-9868409320708365399899*x^10+6492008263013162942374*x^9+8914614181658761751297*x^8-7249911849041455581374*x^7-4034640411589558805273*x^6+3706901269514284030259*x^5+917751838675318761370*x^4-830369306608999194568*x^3-123892810479978852175*x^2+65363769205706182744*x+10648682253081180039]]; bsd[542,1] = 0 ; deg[542,1] = 7 ; dsc[542,1] = 1 ; E [542,1] = [x, [1,1,-1,1,0]]; bsd[542,2] = 7 ; deg[542,2] = 7^2 ; dsc[542,2] = 1 ; E [542,2] = [x, [1,1,2,1,2]]; bsd[542,3] = 0 ; deg[542,3] = 7*23 ; dsc[542,3] = 2^3 ; E [542,3] = [x^2+4*x+2, [1,1,-x-3,1,x]]; bsd[542,4] = 0 ; deg[542,4] = 31 ; dsc[542,4] = 2^2*37 ; E [542,4] = [x^3+x^2-3*x-1, [1,-1,x,1,-x^2-x+2]]; bsd[542,5] = 1/3 ; deg[542,5] = 3^4*43 ; dsc[542,5] = 2^2*101 ; E [542,5] = [x^3-x^2-5*x-1, [1,-1,x,1,x-1]]; bsd[542,6] = 31/17 ; deg[542,6] = 5^2*31 ; dsc[542,6] = 2^2*37 ; E [542,6] = [x^3-3*x^2-x+5, [1,1,x,1,-x^2+5]]; bsd[542,7] = 7 ; deg[542,7] = 5^2*7^2 ; dsc[542,7] = 2^8*41 ; E [542,7] = [x^4+4*x^3-2*x^2-8*x+4, [2,2,x^3+4*x^2-6,2,2*x]]; bsd[542,8] = 1 ; deg[542,8] = 43*251*383 ; dsc[542,8] = 2^7*723071 ; E [542,8] = [x^6-16*x^4+2*x^3+69*x^2-8*x-82, [61,-61,61*x,61,-13*x^5+3*x^4+151*x^3-89*x^2-304*x+268]]; bsd[543,1] = 0 ; deg[543,1] = 83 ; dsc[543,1] = 7^2 ; E [543,1] = [x^3+2*x^2-x-1, [1,x,1,x^2-2,-x-1]]; bsd[543,2] = 53/7 ; deg[543,2] = 53*271 ; dsc[543,2] = 170701 ; E [543,2] = [x^5+x^4-6*x^3-8*x^2+1, [1,x,1,x^2-2,-x^4+5*x^2+2*x+1]]; bsd[543,3] = 0 ; deg[543,3] = 5^3 ; dsc[543,3] = 2^4*61359439 ; E [543,3] = [x^7+4*x^6-3*x^5-23*x^4-5*x^3+32*x^2+15*x-1, [2,2*x,-2,2*x^2-4,-x^5-2*x^4+4*x^3+5*x^2-3*x-1]]; bsd[543,4] = 1 ; deg[543,4] = 8539 ; dsc[543,4] = 2^6*3407750329 ; E [543,4] = [x^8-3*x^7-6*x^6+21*x^5+5*x^4-35*x^3+10*x^2+4*x-1, [1,x,-1,x^2-2,-x^7+2*x^6+8*x^5-14*x^4-18*x^3+24*x^2+9*x-4]]; bsd[543,5] = 47/13 ; deg[543,5] = 47*271 ; dsc[543,5] = 2^7*5*37*5225153 ; E [543,5] = [x^8-3*x^7-12*x^6+43*x^5+24*x^4-169*x^3+84*x^2+113*x-73, [4,4*x,4,4*x^2-8,-x^7+2*x^6+14*x^5-27*x^4-55*x^3+100*x^2+46*x-67]]; bsd[544,1] = 1 ; deg[544,1] = 1 ; dsc[544,1] = 1 ; E [544,1] = [x, [1,0,-2,0,2]]; bsd[544,2] = 1 ; deg[544,2] = 3 ; dsc[544,2] = 1 ; E [544,2] = [x, [1,0,-2,0,4]]; bsd[544,3] = 0 ; deg[544,3] = 1 ; dsc[544,3] = 1 ; E [544,3] = [x, [1,0,0,0,0]]; bsd[544,4] = 1 ; deg[544,4] = 1 ; dsc[544,4] = 1 ; E [544,4] = [x, [1,0,0,0,0]]; bsd[544,5] = 1 ; deg[544,5] = 1 ; dsc[544,5] = 1 ; E [544,5] = [x, [1,0,2,0,2]]; bsd[544,6] = 1 ; deg[544,6] = 3 ; dsc[544,6] = 1 ; E [544,6] = [x, [1,0,2,0,4]]; bsd[544,7] = 0 ; deg[544,7] = 1 ; dsc[544,7] = 2^3 ; E [544,7] = [x^2-2, [1,0,x,0,-2]]; bsd[544,8] = 1 ; deg[544,8] = 3^2*5 ; dsc[544,8] = 2^3*5 ; E [544,8] = [x^2-10, [1,0,x,0,-2]]; bsd[544,9] = 0 ; deg[544,9] = 1 ; dsc[544,9] = 2^4*37 ; E [544,9] = [x^3+2*x^2-4*x-4, [1,0,x,0,-x^2-2*x+2]]; bsd[544,10] = 1 ; deg[544,10] = 1 ; dsc[544,10] = 2^4*37 ; E [544,10] = [x^3-2*x^2-4*x+4, [1,0,x,0,-x^2+2*x+2]]; bsd[545,1] = 0 ; deg[545,1] = 3*17 ; dsc[545,1] = 1 ; E [545,1] = [x, [1,1,0,-1,1]]; bsd[545,2] = 1 ; deg[545,2] = 23*113 ; dsc[545,2] = 2^3 ; E [545,2] = [x^2-2*x-1, [1,x,-x-1,2*x-1,-1]]; bsd[545,3] = 0 ; deg[545,3] = 17*103 ; dsc[545,3] = 61*397 ; E [545,3] = [x^5+3*x^4-2*x^3-11*x^2-7*x-1, [1,x,-2*x^4-4*x^3+7*x^2+14*x+2,x^2-2,1]]; bsd[545,4] = 0 ; deg[545,4] = 43 ; dsc[545,4] = 11^4 ; E [545,4] = [x^5-x^4-4*x^3+3*x^2+3*x-1, [1,x,-x^2+2,x^2-2,-1]]; bsd[545,5] = 1/3 ; deg[545,5] = 3^3*19*113 ; dsc[545,5] = 2^13*1279*68251930193 ; E [545,5] = [x^11+3*x^10-17*x^9-52*x^8+98*x^7+305*x^6-228*x^5-681*x^4+257*x^3+460*x^2-215*x-3, [4,4*x,5*x^10+9*x^9-82*x^8-149*x^7+432*x^6+804*x^5-746*x^4-1481*x^3+165*x^2+541*x-2,4*x^2-8,-4]]; bsd[545,6] = 449/5*11 ; deg[545,6] = 449 ; dsc[545,6] = 2^20*191815830688326679 ; E [545,6] = [x^13-3*x^12-18*x^11+57*x^10+113*x^9-391*x^8-300*x^7+1206*x^6+323*x^5-1685*x^4-114*x^3+921*x^2-5*x-89, [1384,1384*x,171*x^12-67*x^11-3707*x^10+1164*x^9+30150*x^8-6981*x^7-114336*x^6+17671*x^5+201379*x^4-17740*x^3-136413*x^2+4857*x+16660,1384*x^2-2768,1384]]; bsd[546,1] = 1 ; deg[546,1] = 3*5 ; dsc[546,1] = 1 ; E [546,1] = [x, [1,-1,-1,1,-1]]; bsd[546,2] = 0 ; deg[546,2] = 3 ; dsc[546,2] = 1 ; E [546,2] = [x, [1,-1,1,1,-2]]; bsd[546,3] = 1 ; deg[546,3] = 5 ; dsc[546,3] = 1 ; E [546,3] = [x, [1,-1,1,1,1]]; bsd[546,4] = 1 ; deg[546,4] = 3^3 ; dsc[546,4] = 1 ; E [546,4] = [x, [1,-1,1,1,3]]; bsd[546,5] = 17 ; deg[546,5] = 5*7*17 ; dsc[546,5] = 1 ; E [546,5] = [x, [1,1,-1,1,3]]; bsd[546,6] = 7 ; deg[546,6] = 3*7^2 ; dsc[546,6] = 1 ; E [546,6] = [x, [1,1,1,1,-1]]; bsd[546,7] = 1 ; deg[546,7] = 3 ; dsc[546,7] = 1 ; E [546,7] = [x, [1,1,1,1,2]]; bsd[546,8] = 1 ; deg[546,8] = 7^2 ; dsc[546,8] = 3*19 ; E [546,8] = [x^2+x-14, [1,-1,-1,1,x]]; bsd[546,9] = 5 ; deg[546,9] = 5^2 ; dsc[546,9] = 41 ; E [546,9] = [x^2+x-10, [1,1,-1,1,x]]; bsd[546,10] = 1 ; deg[546,10] = 1 ; dsc[546,10] = 17 ; E [546,10] = [x^2-3*x-2, [1,1,1,1,x]]; bsd[547,1] = 0 ; deg[547,1] = 103 ; dsc[547,1] = 2^3 ; E [547,1] = [x^2+2*x-1, [1,x,-x-1,-2*x-1,x+1]]; bsd[547,2] = 0 ; deg[547,2] = 103 ; dsc[547,2] = 7*73*16097*43781*146768003*91268351929 ; E [547,2] = [x^18+4*x^17-18*x^16-84*x^15+116*x^14+708*x^13-282*x^12-3104*x^11-137*x^10+7703*x^9+2068*x^8-11068*x^7-4274*x^6+9021*x^5+4048*x^4-3834*x^3-1851*x^2+654*x+328, [4676065726,4676065726*x,1371473540*x^17+5336948844*x^16-23821223560*x^15-107084377398*x^14+145292621256*x^13+843852198404*x^12-318795585166*x^11-3339977889520*x^10-211400897092*x^9+7060812439990*x^8+2040738926278*x^7-7808524549546*x^6-3261276103804*x^5+4005197233532*x^4+2110478212760*x^3-577346846784*x^2-483467152802*x-88712628616,4676065726*x^2-9352131452,146061652*x^17+512240810*x^16-2713595148*x^15-10226930472*x^14+19645038116*x^13+80777449594*x^12-74354253196*x^11-327765974924*x^10+184525050422*x^9+755446890154*x^8-382841638904*x^7-1058637238194*x^6+616674563322*x^5+946230543064*x^4-540145841346*x^3-504026830080*x^2+168283404434*x+109957940840]]; bsd[547,3] = 1/7*13 ; deg[547,3] = 1 ; dsc[547,3] = 2^14*5501*11783*1152631*9959758037*102277460687*106666343972273 ; E [547,3] = [x^25-4*x^24-30*x^23+134*x^22+365*x^21-1926*x^20-2226*x^19+15560*x^18+6033*x^17-77601*x^16+4782*x^15+246402*x^14-87059*x^13-493902*x^12+275826*x^11+594258*x^10-427359*x^9-378617*x^8+334926*x^7+87006*x^6-111411*x^5+8810*x^4+6600*x^3-872*x^2-68*x+8, [82363019746262248,82363019746262248*x,1267024328573747*x^24-4947994882951318*x^23-35918485819972927*x^22+159313677383566104*x^21+397781874301196968*x^20-2182728349815687922*x^19-1971682755790405618*x^18+16636969843901254196*x^17+1445392193863119469*x^16-77215318997393542181*x^15+33808775346347162369*x^14+223675996619907467417*x^13-189354632907202302672*x^12-395675448845816828713*x^11+493541338716805953792*x^10+391257892115425422615*x^9-705670755776520491491*x^8-158504280686041932146*x^7+533323594802102598331*x^6-30791942944692876772*x^5-175573769714824213136*x^4+34020227908376188906*x^3+11685624335650478232*x^2-1067363413253340084*x-131063012567737960,82363019746262248*x^2-164726039492524496,11785533627369470*x^24-43057886496434883*x^23-367630433961200894*x^22+1450822729150348477*x^21+4772870406187645800*x^20-21007391559605773918*x^19-33014462252399032184*x^18+171366392659741237338*x^17+126047720110836080686*x^16-865993142169542607103*x^15-219401382369109513891*x^14+2802602286513262823601*x^13-140145297995456398703*x^12-5787029926740956340812*x^11+1436483781213464314105*x^10+7334034142181771052638*x^9-2760486252400162528231*x^8-5215465510192379797745*x^7+2352618481027906589208*x^6+1707163877814800941949*x^5-807507551645502724944*x^4-139223524930958011866*x^3+43391875909010779952*x^2+3981967343605140288*x-288695980804593776]]; bsd[548,1] = 0 ; deg[548,1] = 3^4 ; dsc[548,1] = 19*103 ; E [548,1] = [x^4+3*x^3-2*x^2-4*x-1, [1,0,x,0,-x^3-3*x^2+2*x+2]]; bsd[548,2] = 3 ; deg[548,2] = 3^7 ; dsc[548,2] = 2^4*3*7*149*311221457 ; E [548,2] = [x^8-3*x^7-14*x^6+42*x^5+55*x^4-170*x^3-46*x^2+198*x-54, [75,0,75*x,0,-x^7-6*x^6+35*x^5+48*x^4-298*x^3+38*x^2+688*x-306]]; bsd[549,1] = 0 ; deg[549,1] = 3 ; dsc[549,1] = 1 ; E [549,1] = [x, [1,-1,0,-1,0]]; bsd[549,2] = 0 ; deg[549,2] = 1 ; dsc[549,2] = 1 ; E [549,2] = [x, [1,1,0,-1,0]]; bsd[549,3] = 1 ; deg[549,3] = 3 ; dsc[549,3] = 1 ; E [549,3] = [x, [1,1,0,-1,3]]; bsd[549,4] = 1/3 ; deg[549,4] = 1 ; dsc[549,4] = 2^2*3 ; E [549,4] = [x^2-3, [1,x,0,1,x]]; bsd[549,5] = 1 ; deg[549,5] = 1 ; dsc[549,5] = 2^3 ; E [549,5] = [x^2-2*x-1, [1,x,0,2*x-1,1]]; bsd[549,6] = 0 ; deg[549,6] = 19 ; dsc[549,6] = 2^2*37 ; E [549,6] = [x^3-16*x-16, [4,x^2-2*x-12,0,-x^2+12,-8]]; bsd[549,7] = 0 ; deg[549,7] = 19 ; dsc[549,7] = 2^2*37 ; E [549,7] = [x^3-x^2-9*x+13, [2,x^2-7,0,-2*x^2-2*x+14,2*x]]; bsd[549,8] = 1 ; deg[549,8] = 3 ; dsc[549,8] = 2^7*127*5623 ; E [549,8] = [x^6-11*x^4-2*x^3+31*x^2+10*x-17, [2,2*x,0,2*x^2-4,x^5-2*x^4-10*x^3+16*x^2+21*x-20]]; bsd[549,9] = 1 ; deg[549,9] = 3^3 ; dsc[549,9] = 2^12*7^2*41^2 ; E [549,9] = [x^6-13*x^4+41*x^2-1, [2,2*x,0,2*x^2-4,-x^5+14*x^3-47*x]]; bsd[550,1] = 1/3 ; deg[550,1] = 3^2*5 ; dsc[550,1] = 1 ; E [550,1] = [x, [1,-1,-2,1,0]]; bsd[550,2] = 1 ; deg[550,2] = 3*11 ; dsc[550,2] = 1 ; E [550,2] = [x, [1,-1,-2,1,0]]; bsd[550,3] = 0 ; deg[550,3] = 3 ; dsc[550,3] = 1 ; E [550,3] = [x, [1,-1,-2,1,0]]; bsd[550,4] = 0 ; deg[550,4] = 3 ; dsc[550,4] = 1 ; E [550,4] = [x, [1,-1,-1,1,0]]; bsd[550,5] = 0 ; deg[550,5] = 3*5 ; dsc[550,5] = 1 ; E [550,5] = [x, [1,-1,1,1,0]]; bsd[550,6] = 1 ; deg[550,6] = 3*5 ; dsc[550,6] = 1 ; E [550,6] = [x, [1,-1,1,1,0]]; bsd[550,7] = 1 ; deg[550,7] = 5*11 ; dsc[550,7] = 1 ; E [550,7] = [x, [1,-1,3,1,0]]; bsd[550,8] = 0 ; deg[550,8] = 11 ; dsc[550,8] = 1 ; E [550,8] = [x, [1,1,-3,1,0]]; bsd[550,9] = 0 ; deg[550,9] = 3*7 ; dsc[550,9] = 1 ; E [550,9] = [x, [1,1,-1,1,0]]; bsd[550,10] = 1 ; deg[550,10] = 3 ; dsc[550,10] = 1 ; E [550,10] = [x, [1,1,-1,1,0]]; bsd[550,11] = 1 ; deg[550,11] = 3*5 ; dsc[550,11] = 1 ; E [550,11] = [x, [1,1,2,1,0]]; bsd[550,12] = 11 ; deg[550,12] = 3*5*11 ; dsc[550,12] = 1 ; E [550,12] = [x, [1,1,2,1,0]]; bsd[550,13] = 1 ; deg[550,13] = 3^2 ; dsc[550,13] = 1 ; E [550,13] = [x, [1,1,2,1,0]]; bsd[550,14] = 1 ; deg[550,14] = 3^2 ; dsc[550,14] = 3*11 ; E [550,14] = [x^2-x-8, [1,1,x,1,0]]; bsd[551,1] = 0 ; deg[551,1] = 3 ; dsc[551,1] = 1 ; E [551,1] = [x, [1,-2,-2,2,-1]]; bsd[551,2] = 0 ; deg[551,2] = 3 ; dsc[551,2] = 1 ; E [551,2] = [x, [1,-1,1,-1,-1]]; bsd[551,3] = 0 ; deg[551,3] = 3 ; dsc[551,3] = 1 ; E [551,3] = [x, [1,1,1,-1,-1]]; bsd[551,4] = 0 ; deg[551,4] = 3*7 ; dsc[551,4] = 1 ; E [551,4] = [x, [1,2,-2,2,-1]]; bsd[551,5] = 0 ; deg[551,5] = 5 ; dsc[551,5] = 2^2*5 ; E [551,5] = [x^2-5, [1,-1,x,-1,-1]]; bsd[551,6] = 0 ; deg[551,6] = 5 ; dsc[551,6] = 2^2*37 ; E [551,6] = [x^3-4*x+2, [1,x,0,x^2-2,-x^2-2*x+3]]; bsd[551,7] = 1/3*5 ; deg[551,7] = 3^2 ; dsc[551,7] = 2^4*5*11*13*7247*596697993853961988995183 ; E [551,7] = [x^16-3*x^15-22*x^14+68*x^13+190*x^12-608*x^11-832*x^10+2760*x^9+1972*x^8-6728*x^7-2502*x^6+8420*x^5+1642*x^4-4511*x^3-577*x^2+572*x-18, [1076564,1076564*x,-175043*x^15-27242*x^14+4357720*x^13+527324*x^12-43147554*x^11-4216614*x^10+216741266*x^9+18726050*x^8-581102490*x^7-52393714*x^6+790075832*x^5+92973548*x^4-445099562*x^3-80778601*x^2+46890558*x+2165018,1076564*x^2-2153128,-250424*x^15+202628*x^14+5729144*x^13-3999652*x^12-51801004*x^11+29041692*x^10+237456220*x^9-96612356*x^8-581867144*x^7+141633920*x^6+725009604*x^5-53871940*x^4-375316148*x^3-35081812*x^2+33314856*x-645492]]; bsd[551,8] = 3^2/5 ; deg[551,8] = 13^2 ; dsc[551,8] = 2^4*29*337*829*269851*12453653*400920142453001791 ; E [551,8] = [x^18-2*x^17-29*x^16+56*x^15+342*x^14-632*x^13-2112*x^12+3692*x^11+7332*x^10-11948*x^9-14282*x^8+21322*x^7+14618*x^6-19599*x^5-6476*x^4+7481*x^3+560*x^2-346*x+6, [6089315118808,6089315118808*x,185841444913*x^17-354789495379*x^16-5387257119962*x^15+9665884814314*x^14+63472096723948*x^13-104958390057220*x^12-391027758426388*x^11+580087831776488*x^10+1349911247183964*x^9-1731490973024200*x^8-2599101930314418*x^7+2746364122843852*x^6+2606022475146862*x^5-2136965370903373*x^4-1122064494683119*x^3+645898162019440*x^2+99893394876464*x-15471695571466,6089315118808*x^2-12178630237616,142064443299*x^17-104462857985*x^16-4245022901822*x^15+2712716593438*x^14+51790909977516*x^13-27581080307276*x^12-332403282445188*x^11+138297673633176*x^10+1205334850718164*x^9-352314548549240*x^8-2463775677264494*x^7+420022962074892*x^6+2655773885163498*x^5-189707589751479*x^4-1251669973628725*x^3+31898292357832*x^2+127296069579680*x-6453048695142]]; bsd[552,1] = 0 ; deg[552,1] = 3 ; dsc[552,1] = 1 ; E [552,1] = [x, [1,0,-1,0,-2]]; bsd[552,2] = 1 ; deg[552,2] = 7 ; dsc[552,2] = 1 ; E [552,2] = [x, [1,0,-1,0,0]]; bsd[552,3] = 0 ; deg[552,3] = 3 ; dsc[552,3] = 1 ; E [552,3] = [x, [1,0,-1,0,2]]; bsd[552,4] = 1 ; deg[552,4] = 1 ; dsc[552,4] = 1 ; E [552,4] = [x, [1,0,-1,0,4]]; bsd[552,5] = 0 ; deg[552,5] = 1 ; dsc[552,5] = 1 ; E [552,5] = [x, [1,0,1,0,-2]]; bsd[552,6] = 5 ; deg[552,6] = 5 ; dsc[552,6] = 2^2*5 ; E [552,6] = [x^2-2*x-4, [1,0,1,0,x]]; bsd[552,7] = 5 ; deg[552,7] = 5 ; dsc[552,7] = 2^6*37 ; E [552,7] = [x^3-16*x+16, [2,0,2,0,2*x]]; bsd[553,1] = 0 ; deg[553,1] = 223 ; dsc[553,1] = 3^3*3675187 ; E [553,1] = [x^7+6*x^6+7*x^5-17*x^4-35*x^3-3*x^2+15*x+3, [1,x,x^6+3*x^5-4*x^4-12*x^3+5*x^2+6*x-2,x^2-2,x^6+4*x^5-14*x^3-10*x^2+6*x+3]]; bsd[553,2] = 1 ; deg[553,2] = 757 ; dsc[553,2] = 88489995689 ; E [553,2] = [x^8-3*x^7-7*x^6+24*x^5+6*x^4-40*x^3+6*x^2+8*x+1, [3,3*x,-5*x^7+17*x^6+30*x^5-135*x^4+9*x^3+218*x^2-89*x-29,3*x^2-6,-4*x^7+13*x^6+24*x^5-102*x^4+6*x^3+160*x^2-64*x-19]]; bsd[553,3] = 0 ; deg[553,3] = 7 ; dsc[553,3] = 3677*83650240506841 ; E [553,3] = [x^11+5*x^10-4*x^9-49*x^8-24*x^7+154*x^6+125*x^5-183*x^4-154*x^3+67*x^2+32*x-11, [1,x,x^10+5*x^9-3*x^8-47*x^7-35*x^6+134*x^5+163*x^4-119*x^3-195*x^2-3*x+31,x^2-2,-2*x^10-10*x^9+7*x^8+95*x^7+58*x^6-276*x^5-280*x^4+256*x^3+330*x^2-6*x-50]]; bsd[553,4] = 3^2/5 ; deg[553,4] = 3^2 ; dsc[553,4] = 2^2*83*271*294103*9557351790479 ; E [553,4] = [x^13-7*x^12+3*x^11+78*x^10-144*x^9-249*x^8+769*x^7+79*x^6-1451*x^5+654*x^4+878*x^3-686*x^2+56*x+27, [5,5*x,-x^10+3*x^9+9*x^8-31*x^7-13*x^6+88*x^5-51*x^4-35*x^3+93*x^2-61*x+3,5*x^2-10,3*x^12-14*x^11-23*x^10+181*x^9-32*x^8-805*x^7+615*x^6+1428*x^5-1555*x^4-767*x^3+1219*x^2-181*x-67]]; bsd[554,1] = 0 ; deg[554,1] = 13^2 ; dsc[554,1] = 7^2 ; E [554,1] = [x^3+2*x^2-x-1, [1,1,x,1,-x-3]]; bsd[554,2] = 0 ; deg[554,2] = 103 ; dsc[554,2] = 2777 ; E [554,2] = [x^4+2*x^3-5*x^2-7*x-2, [1,-1,x,1,3*x^3+4*x^2-18*x-10]]; bsd[554,3] = 1/3 ; deg[554,3] = 5*29*479 ; dsc[554,3] = 3*229*2357*959467 ; E [554,3] = [x^8-3*x^7-13*x^6+37*x^5+54*x^4-146*x^3-60*x^2+182*x-49, [77,-77,77*x,77,5*x^7-x^6-114*x^5+66*x^4+655*x^3-359*x^2-1028*x+434]]; bsd[554,4] = 29339/139 ; deg[554,4] = 29339 ; dsc[554,4] = 181*2142517721117 ; E [554,4] = [x^9+x^8-17*x^7-9*x^6+94*x^5+12*x^4-194*x^3+46*x^2+119*x-54, [1037,1037,1037*x,1037,-162*x^8-203*x^7+2581*x^6+2028*x^5-12948*x^4-5413*x^3+22575*x^2+3312*x-9222]]; bsd[555,1] = 1 ; deg[555,1] = 3*5 ; dsc[555,1] = 1 ; E [555,1] = [x, [1,0,1,-2,-1]]; bsd[555,2] = 5 ; deg[555,2] = 3*5*7 ; dsc[555,2] = 1 ; E [555,2] = [x, [1,0,1,-2,1]]; bsd[555,3] = 0 ; deg[555,3] = 19^2 ; dsc[555,3] = 5 ; E [555,3] = [x^2+3*x+1, [1,x,1,-3*x-3,1]]; bsd[555,4] = 0 ; deg[555,4] = 3^2*17 ; dsc[555,4] = 13 ; E [555,4] = [x^2+x-3, [1,x,-1,-x+1,1]]; bsd[555,5] = 0 ; deg[555,5] = 31 ; dsc[555,5] = 5 ; E [555,5] = [x^2+x-1, [1,x,1,-x-1,-1]]; bsd[555,6] = 0 ; deg[555,6] = 5 ; dsc[555,6] = 5 ; E [555,6] = [x^2-x-1, [1,x,-1,x-1,-1]]; bsd[555,7] = 3^2 ; deg[555,7] = 3^3*29 ; dsc[555,7] = 13 ; E [555,7] = [x^2-x-3, [1,x,1,x+1,-1]]; bsd[555,8] = 1 ; deg[555,8] = 7*167 ; dsc[555,8] = 7*67 ; E [555,8] = [x^3-x^2-5*x+4, [1,x,-1,x^2-2,1]]; bsd[555,9] = 1 ; deg[555,9] = 7 ; dsc[555,9] = 229 ; E [555,9] = [x^3-2*x^2-4*x+7, [1,x,1,x^2-2,1]]; bsd[555,10] = 1 ; deg[555,10] = 79*563 ; dsc[555,10] = 2^4*150067 ; E [555,10] = [x^5+3*x^4-4*x^3-13*x^2+x+4, [1,x,-1,x^2-2,-1]]; bsd[556,1] = 0 ; deg[556,1] = 3^2 ; dsc[556,1] = 1 ; E [556,1] = [x, [1,0,0,0,-1]]; bsd[556,2] = 0 ; deg[556,2] = 3^4 ; dsc[556,2] = 3*107 ; E [556,2] = [x^3+2*x^2-3*x-3, [1,0,x,0,-x^2-2*x+2]]; bsd[556,3] = 3^2 ; deg[556,3] = 3^7 ; dsc[556,3] = 157*38195933 ; E [556,3] = [x^7-4*x^6-9*x^5+43*x^4+14*x^3-120*x^2+24*x+64, [8,0,8*x,0,-2*x^6+4*x^5+22*x^4-34*x^3-68*x^2+68*x+56]]; bsd[557,1] = 0 ; deg[557,1] = 7 ; dsc[557,1] = 1 ; E [557,1] = [x, [1,1,-1,-1,0]]; bsd[557,2] = 1 ; deg[557,2] = 7*13 ; dsc[557,2] = 1 ; E [557,2] = [x, [1,2,2,2,0]]; bsd[557,3] = 0 ; deg[557,3] = 7 ; dsc[557,3] = 4787*2381022539751738307256162767 ; E [557,3] = [x^18+6*x^17-6*x^16-98*x^15-83*x^14+588*x^13+978*x^12-1507*x^11-3913*x^10+1062*x^9+7268*x^8+2007*x^7-6225*x^6-3695*x^5+2078*x^4+1980*x^3-23*x^2-339*x-72, [6291,6291*x,-2265*x^17-13176*x^16+19098*x^15+236469*x^14+130791*x^13-1608966*x^12-2155581*x^11+5036325*x^10+9998097*x^9-6536061*x^8-21167499*x^7+326340*x^6+21203217*x^5+5548350*x^4-9629058*x^3-3687993*x^2+1582401*x+677772,6291*x^2-12582,2138*x^17+7110*x^16-47874*x^15-189958*x^14+319865*x^13+1804170*x^12-347748*x^11-7839983*x^10-3775289*x^9+16127058*x^8+13951771*x^7-14533215*x^6-17111505*x^5+4693961*x^4+8440111*x^3+218109*x^2-1412800*x-253932]]; bsd[557,4] = 1/139 ; deg[557,4] = 7*13 ; dsc[557,4] = 2^8*252163*16849164271275021852893*53296770296923102812608983 ; E [557,4] = [x^26-x^25-40*x^24+36*x^23+701*x^22-557*x^21-7078*x^20+4855*x^19+45533*x^18-26248*x^17-194780*x^16+91281*x^15+561051*x^14-204613*x^13-1077249*x^12+286983*x^11+1332859*x^10-233167*x^9-994145*x^8+90493*x^7+396290*x^6-6446*x^5-68301*x^4-2616*x^3+3093*x^2+320*x+1, [134328034543571734744,134328034543571734744*x,-7289644533446713544*x^25+12913017213035936776*x^24+276708990803792551884*x^23-466258305772507944162*x^22-4567780607048198726114*x^21+7243323863524765427576*x^20+43084850004881314425720*x^19-63460564641484022717628*x^18-256553996024911727592556*x^17+345245573411490144692416*x^16+1005781738275212951452458*x^15-1209753925629329655260642*x^14-2628055216453211650894892*x^13+2738623283894837658587012*x^12+4537105313021784255719600*x^11-3904193717270906588926184*x^10-5029532670488860984654594*x^9+3300173175818611860453446*x^8+3395762017848448993472938*x^7-1480262422781969833596798*x^6-1270873487802230462590276*x^5+295360775861155117658376*x^4+212532439757103260683740*x^3-18119942479886243901114*x^2-9263617602603319247276*x-267686049503749914442,134328034543571734744*x^2-268656069087143469488,-3377597374369695264*x^25+2302433360278970250*x^24+137090298311871070998*x^23-83977769725718727570*x^22-2439287445268952547846*x^21+1326856734808578045900*x^20+25015378073941919729332*x^19-11963265356388911765816*x^18-163455512119504375443942*x^17+68279935889174167159370*x^16+709975532718745077734246*x^15-258674216224579294109354*x^14-2074411339878720923192468*x^13+662165905061999844993160*x^12+4031450720603236236414418*x^11-1137533133008659310301938*x^10-5026088347422966774027124*x^9+1262661977041723511051144*x^8+3741685952646884596896070*x^7-829839219637575771677658*x^6-1457661554744600718839908*x^5+272528932961244703739998*x^4+233927436666109758252832*x^3-36688803303207029894192*x^2-6710875393336388900272*x+506629050662406551634]]; bsd[558,1] = 0 ; deg[558,1] = 5 ; dsc[558,1] = 1 ; E [558,1] = [x, [1,-1,0,1,-1]]; bsd[558,2] = 0 ; deg[558,2] = 1 ; dsc[558,2] = 1 ; E [558,2] = [x, [1,-1,0,1,-1]]; bsd[558,3] = 1 ; deg[558,3] = 1 ; dsc[558,3] = 1 ; E [558,3] = [x, [1,-1,0,1,2]]; bsd[558,4] = 1/3 ; deg[558,4] = 3*5 ; dsc[558,4] = 1 ; E [558,4] = [x, [1,-1,0,1,3]]; bsd[558,5] = 0 ; deg[558,5] = 3*5 ; dsc[558,5] = 1 ; E [558,5] = [x, [1,1,0,1,-3]]; bsd[558,6] = 0 ; deg[558,6] = 7 ; dsc[558,6] = 1 ; E [558,6] = [x, [1,1,0,1,-3]]; bsd[558,7] = 1 ; deg[558,7] = 3 ; dsc[558,7] = 1 ; E [558,7] = [x, [1,1,0,1,1]]; bsd[558,8] = 1 ; deg[558,8] = 11 ; dsc[558,8] = 1 ; E [558,8] = [x, [1,1,0,1,1]]; bsd[558,9] = 1 ; deg[558,9] = 19 ; dsc[558,9] = 17 ; E [558,9] = [x^2+3*x-2, [1,-1,0,1,x]]; bsd[558,10] = 11 ; deg[558,10] = 11^2 ; dsc[558,10] = 2^2*3 ; E [558,10] = [x^2-12, [2,2,0,2,2*x]]; bsd[559,1] = 0 ; deg[559,1] = 19 ; dsc[559,1] = 3^4 ; E [559,1] = [x^3+3*x^2-3, [1,x,x+1,x^2-2,-x^2-2*x]]; bsd[559,2] = 0 ; deg[559,2] = 19*23 ; dsc[559,2] = 12197 ; E [559,2] = [x^4+x^3-5*x^2-3*x+1, [1,x,-x,x^2-2,-x^3-x^2+5*x+1]]; bsd[559,3] = 0 ; deg[559,3] = 3^2 ; dsc[559,3] = 191*477163 ; E [559,3] = [x^7+2*x^6-6*x^5-9*x^4+11*x^3+10*x^2-5*x-1, [1,x,-x^6-2*x^5+5*x^4+7*x^3-7*x^2-5*x+1,x^2-2,x^6+3*x^5-2*x^4-9*x^3-x^2+4*x]]; bsd[559,4] = 19/11 ; deg[559,4] = 19 ; dsc[559,4] = 2^6*11*3319*29677486371271199369 ; E [559,4] = [x^14-7*x^13+3*x^12+78*x^11-145*x^10-243*x^9+758*x^8+83*x^7-1422*x^6+532*x^5+1004*x^4-525*x^3-224*x^2+82*x+23, [1471,1471*x,-1963*x^13+10940*x^12+10027*x^11-140569*x^10+83093*x^9+616701*x^8-627484*x^7-1139092*x^6+1283819*x^5+898190*x^4-899391*x^3-291733*x^2+144509*x+41169,1471*x^2-2942,2498*x^13-14345*x^12-10146*x^11+180010*x^10-138201*x^9-754700*x^8+931786*x^7+1270602*x^6-1846577*x^5-820275*x^4+1257011*x^3+185312*x^2-188043*x-35070]]; bsd[559,5] = 1/7 ; deg[559,5] = 7*31 ; dsc[559,5] = 2^8*3*7^2*29*37*97*4802947*4456942220789 ; E [559,5] = [x^15-2*x^14-22*x^13+43*x^12+187*x^11-354*x^10-769*x^9+1395*x^8+1553*x^7-2684*x^6-1328*x^5+2265*x^4+241*x^3-606*x^2+33*x+13, [3493,3493*x,-5210*x^14-485*x^13+112388*x^12+9807*x^11-928511*x^10-70057*x^9+3663291*x^8+177186*x^7-7017688*x^6+50017*x^5+5906504*x^4-485711*x^3-1624691*x^2+146755*x+33331,3493*x^2-6986,-4430*x^14-580*x^13+95475*x^12+11872*x^11-788020*x^10-89001*x^9+3106438*x^8+272894*x^7-5951796*x^6-216637*x^5+5033727*x^4-164247*x^3-1427910*x^2+57351*x+40724]]; bsd[560,1] = 0 ; deg[560,1] = 3*5 ; dsc[560,1] = 1 ; E [560,1] = [x, [1,0,-3,0,-1]]; bsd[560,2] = 1 ; deg[560,2] = 3 ; dsc[560,2] = 1 ; E [560,2] = [x, [1,0,-1,0,-1]]; bsd[560,3] = 0 ; deg[560,3] = 3 ; dsc[560,3] = 1 ; E [560,3] = [x, [1,0,-1,0,1]]; bsd[560,4] = 0 ; deg[560,4] = 3 ; dsc[560,4] = 1 ; E [560,4] = [x, [1,0,0,0,-1]]; bsd[560,5] = 1 ; deg[560,5] = 1 ; dsc[560,5] = 1 ; E [560,5] = [x, [1,0,1,0,-1]]; bsd[560,6] = 5 ; deg[560,6] = 3*5 ; dsc[560,6] = 1 ; E [560,6] = [x, [1,0,3,0,1]]; bsd[560,7] = 1 ; deg[560,7] = 1 ; dsc[560,7] = 17 ; E [560,7] = [x^2+x-4, [1,0,x,0,1]]; bsd[560,8] = 1 ; deg[560,8] = 1 ; dsc[560,8] = 3*11 ; E [560,8] = [x^2-x-8, [1,0,x,0,-1]]; bsd[560,9] = 1 ; deg[560,9] = 1 ; dsc[560,9] = 17 ; E [560,9] = [x^2-x-4, [1,0,x,0,1]]; bsd[561,1] = 0 ; deg[561,1] = 1 ; dsc[561,1] = 1 ; E [561,1] = [x, [1,-2,1,2,0]]; bsd[561,2] = 1 ; deg[561,2] = 1 ; dsc[561,2] = 1 ; E [561,2] = [x, [1,-1,1,-1,2]]; bsd[561,3] = 1 ; deg[561,3] = 5 ; dsc[561,3] = 1 ; E [561,3] = [x, [1,0,-1,-2,-2]]; bsd[561,4] = 0 ; deg[561,4] = 5 ; dsc[561,4] = 1 ; E [561,4] = [x, [1,0,1,-2,-2]]; bsd[561,5] = 0 ; deg[561,5] = 3^2 ; dsc[561,5] = 2^3 ; E [561,5] = [x^2-2, [1,x,1,0,-x-2]]; bsd[561,6] = 1 ; deg[561,6] = 1 ; dsc[561,6] = 17 ; E [561,6] = [x^2-x-4, [1,x,-1,x+2,2]]; bsd[561,7] = 0 ; deg[561,7] = 17 ; dsc[561,7] = 2^2*37 ; E [561,7] = [x^3+2*x^2-2*x-2, [1,x,-1,x^2-2,x]]; bsd[561,8] = 0 ; deg[561,8] = 5*13*19 ; dsc[561,8] = 2^2*37 ; E [561,8] = [x^3-4*x-2, [1,x,-1,x^2-2,-2*x^2+x+4]]; bsd[561,9] = 1 ; deg[561,9] = 1 ; dsc[561,9] = 2^2*79 ; E [561,9] = [x^3-x^2-4*x+2, [1,x,-1,x^2-2,-x^2+x+4]]; bsd[561,10] = 13 ; deg[561,10] = 5*13 ; dsc[561,10] = 2^2*5669 ; E [561,10] = [x^4-x^3-6*x^2+6*x+2, [1,x,1,x^2-2,-x^3+5*x-2]]; bsd[561,11] = 103/3 ; deg[561,11] = 3^2*103 ; dsc[561,11] = 2^8*7*181*3851 ; E [561,11] = [x^6+x^5-11*x^4-9*x^3+32*x^2+20*x-18, [2,2*x,2,2*x^2-4,-x^5+9*x^3-2*x^2-16*x+6]]; bsd[562,1] = 1 ; deg[562,1] = 5 ; dsc[562,1] = 1 ; E [562,1] = [x, [1,-1,2,1,2]]; bsd[562,2] = 1 ; deg[562,2] = 5*1091 ; dsc[562,2] = 13^2 ; E [562,2] = [x^3-x^2-4*x-1, [1,-1,x,1,-x^2+2*x+2]]; bsd[562,3] = 0 ; deg[562,3] = 13*43 ; dsc[562,3] = 7^2 ; E [562,3] = [x^3+5*x^2+6*x+1, [1,1,x,1,-x^2-4*x-4]]; bsd[562,4] = 0 ; deg[562,4] = 337 ; dsc[562,4] = 2^4*11^2*13*53693 ; E [562,4] = [x^7+5*x^6-x^5-28*x^4-9*x^3+32*x^2-12*x+1, [1,-1,x,1,-x^6-5*x^5-x^4+23*x^3+20*x^2-13*x-1]]; bsd[562,5] = 1973/47 ; deg[562,5] = 1973 ; dsc[562,5] = 2^6*229*311*37363763 ; E [562,5] = [x^9-5*x^8-9*x^7+74*x^6-27*x^5-310*x^4+350*x^3+243*x^2-456*x+140, [3014,3014,3014*x,3014,-592*x^8+1910*x^7+8176*x^6-27596*x^5-27402*x^4+117924*x^3-11872*x^2-125242*x+60392]]; bsd[563,1] = 0 ; deg[563,1] = 13 ; dsc[563,1] = 1 ; E [563,1] = [x, [1,-1,-1,-1,-4]]; bsd[563,2] = 0 ; deg[563,2] = 5*61 ; dsc[563,2] = 2^2*37 ; E [563,2] = [x^3+x^2-5*x-1, [2,-x^2+3,2*x,-2*x,-4]]; bsd[563,3] = 0 ; deg[563,3] = 5*13 ; dsc[563,3] = 2^2*37 ; E [563,3] = [x^3-x^2-3*x+1, [1,-x,x,x^2-2,-x+1]]; bsd[563,4] = 0 ; deg[563,4] = 13*61 ; dsc[563,4] = 155083*938251 ; E [563,4] = [x^9+2*x^8-8*x^7-15*x^6+18*x^5+31*x^4-15*x^3-22*x^2+4*x+5, [1,x,x^8+2*x^7-7*x^6-13*x^5+11*x^4+18*x^3-4*x^2-4*x-1,x^2-2,-2*x^8-4*x^7+14*x^6+27*x^5-21*x^4-43*x^3+3*x^2+16*x+3]]; bsd[563,5] = 13^2/281 ; deg[563,5] = 13 ; dsc[563,5] = 2^19*37591*52667*301703*46706589087295134421*299128314984453465128592656821021 ; E [563,5] = [x^31-5*x^30-40*x^29+233*x^28+650*x^27-4804*x^26-5046*x^25+57710*x^24+10034*x^23-447489*x^22+163153*x^21+2342476*x^20-1745428*x^19-8396607*x^18+8854751*x^17+20387988*x^16-27682203*x^15-32062270*x^14+56150683*x^13+28712111*x^12-73374682*x^11-7360185*x^10+58781075*x^9-10788006*x^8-25769684*x^7+10398304*x^6+4640992*x^5-3106816*x^4+10432*x^3+288640*x^2-60160*x+3584, [2631911679996889539986252032,2631911679996889539986252032*x,17192143702637709746166338*x^30-65641278624154817144882190*x^29-760959303723648375211307708*x^28+3100601735600156862888150354*x^27+14633424831615213363983521648*x^26-65043179346956320143210586912*x^25-159208432418104209281334396284*x^24+799151076780116657357245514580*x^23+1060838757978064875531045225564*x^22-6385866426461410448739450924762*x^21-4269517445203031932471088476970*x^20+34843868057598776291705967418180*x^19+8390824021470703265153166872184*x^18-132589101888635704287647471601886*x^17+7297825668765423467046779965242*x^16+352837522619796332158808069379292*x^15-95040776191162034710835186037334*x^14-647888436649324903621100367300096*x^13+279685146165466038488184409578350*x^12+794566194164717980945406222989986*x^11-447409089104409897864071526411456*x^10-611372740240479034558341458559402*x^9+419201741635054054222477402913386*x^8+260277202683464011711042935881944*x^7-220045206088204584661817353879280*x^6-43320170525980989563218434414768*x^5+56321723622732471620889243855888*x^4-2609280874774651761018543960896*x^3-5194509996730017814402879917504*x^2+1053355128893072255341067342720*x-51479989969646691320557647104,2631911679996889539986252032*x^2-5263823359993779079972504064,2188411649690456376779452*x^30-11200228985578684106479304*x^29-81517470580249922437731932*x^28+483264325220713633026902852*x^27+1239087509578300788858532252*x^26-9103875469181685783261296880*x^25-9530771338086657047006127272*x^24+98390511553523509027793190128*x^23+34820505101274594717989167648*x^22-674748203899364425340601678564*x^21-18760199919650467255807034424*x^20+3073096441454479351323008222908*x^19-166700524498058677310129726376*x^18-9506563841420288602019747567668*x^17-1004945359187775022726298303512*x^16+20383523267253739872863244713476*x^15+11788208658897086666784639951204*x^14-31842557393505040717034115288500*x^13-44742433804356491381795168885164*x^12+40665597733208365711676669009888*x^11+89880695899741546588886951896716*x^10-47063083799542930631544470678556*x^9-102540539215907528970578491836800*x^8+44833914144260275804249454498540*x^7+64020005271436442855798183809472*x^6-27976084545348625107425370602848*x^5-18962580499561667296507521531008*x^4+9019962458653914483084400404416*x^3+1645934254025678779565616424704*x^2-1061721020109074324818948316416*x+101271344459038903901519636480]]; bsd[564,1] = 0 ; deg[564,1] = 3*5 ; dsc[564,1] = 1 ; E [564,1] = [x, [1,0,-1,0,-1]]; bsd[564,2] = 0 ; deg[564,2] = 3^2 ; dsc[564,2] = 1 ; E [564,2] = [x, [1,0,1,0,-3]]; bsd[564,3] = 3^2 ; deg[564,3] = 3^3*17 ; dsc[564,3] = 2^2*3^3*5^2 ; E [564,3] = [x^3-3*x^2-12*x+34, [1,0,-1,0,x]]; bsd[564,4] = 29 ; deg[564,4] = 3^3*29 ; dsc[564,4] = 2^2*79 ; E [564,4] = [x^3-5*x^2+4*x+2, [1,0,1,0,x]]; bsd[565,1] = 1 ; deg[565,1] = 3 ; dsc[565,1] = 1 ; E [565,1] = [x, [1,1,-2,-1,-1]]; bsd[565,2] = 0 ; deg[565,2] = 3*7^2 ; dsc[565,2] = 3*7*257^2 ; E [565,2] = [x^6+3*x^5-2*x^4-9*x^3-x^2+4*x+1, [1,x,-2*x^5-5*x^4+6*x^3+14*x^2-4*x-5,x^2-2,1]]; bsd[565,3] = 1 ; deg[565,3] = 5^3 ; dsc[565,3] = 5*50821*722509 ; E [565,3] = [x^8-5*x^7-x^6+34*x^5-23*x^4-67*x^3+52*x^2+30*x-5, [2,2*x,-2*x^4+4*x^3+8*x^2-12*x-2,2*x^2-4,-2]]; bsd[565,4] = 0 ; deg[565,4] = 127 ; dsc[565,4] = 2^4*127*317*3391*889453 ; E [565,4] = [x^10+5*x^9-4*x^8-49*x^7-24*x^6+153*x^5+127*x^4-165*x^3-145*x^2+56*x+41, [2,2*x,-3*x^9-9*x^8+29*x^7+88*x^6-91*x^5-269*x^4+104*x^3+272*x^2-47*x-68,2*x^2-4,-2]]; bsd[565,5] = 197/19 ; deg[565,5] = 197 ; dsc[565,5] = 2^11*3^5*37*313*33647*5665043 ; E [565,5] = [x^12-5*x^11-7*x^10+66*x^9-26*x^8-280*x^7+269*x^6+398*x^5-472*x^4-115*x^3+146*x^2-24*x+1, [4,4*x,-4*x^11+15*x^10+43*x^9-200*x^8-95*x^7+864*x^6-223*x^5-1283*x^4+649*x^3+447*x^2-214*x+17,4*x^2-8,4]]; bsd[566,1] = 0 ; deg[566,1] = 3 ; dsc[566,1] = 1 ; E [566,1] = [x, [1,-1,0,1,0]]; bsd[566,2] = 1 ; deg[566,2] = 13 ; dsc[566,2] = 1 ; E [566,2] = [x, [1,1,1,1,-2]]; bsd[566,3] = 0 ; deg[566,3] = 3*43 ; dsc[566,3] = 13 ; E [566,3] = [x^2-x-3, [1,-1,x,1,-x]]; bsd[566,4] = 0 ; deg[566,4] = 61 ; dsc[566,4] = 5 ; E [566,4] = [x^2+3*x+1, [1,1,x,1,-x-2]]; bsd[566,5] = 1/3 ; deg[566,5] = 107*383 ; dsc[566,5] = 3*2351 ; E [566,5] = [x^4-x^3-8*x^2+6*x-1, [1,-1,x,1,3*x^3-2*x^2-25*x+9]]; bsd[566,6] = 1 ; deg[566,6] = 107*2953 ; dsc[566,6] = 2^4*3^2*35771 ; E [566,6] = [x^5+3*x^4-7*x^3-21*x^2+7*x+27, [1,-1,x,1,x^4+x^3-9*x^2-3*x+16]]; bsd[566,7] = 20627/71 ; deg[566,7] = 13*20627 ; dsc[566,7] = 2^4*16843958142547 ; E [566,7] = [x^9-3*x^8-19*x^7+57*x^6+116*x^5-351*x^4-265*x^3+828*x^2+197*x-652, [6703,6703,6703*x,6703,-207*x^8-61*x^7+4833*x^6+627*x^5-37878*x^4+222*x^3+109599*x^2-4883*x-88180]]; bsd[567,1] = 0 ; deg[567,1] = 3^2 ; dsc[567,1] = 1 ; E [567,1] = [x, [1,-1,0,-1,1]]; bsd[567,2] = 0 ; deg[567,2] = 3 ; dsc[567,2] = 1 ; E [567,2] = [x, [1,1,0,-1,-1]]; bsd[567,3] = 0 ; deg[567,3] = 3^3 ; dsc[567,3] = 3^4 ; E [567,3] = [x^3+3*x^2-3, [1,x,0,x^2-2,x^2+x-3]]; bsd[567,4] = 0 ; deg[567,4] = 3^4 ; dsc[567,4] = 3*107 ; E [567,4] = [x^3+x^2-4*x-1, [1,x,0,x^2-2,-x^2-x+1]]; bsd[567,5] = 1/3 ; deg[567,5] = 3^5 ; dsc[567,5] = 3^3*23 ; E [567,5] = [x^3-6*x-3, [1,x,0,x^2-2,-x^2+x+3]]; bsd[567,6] = 1/3 ; deg[567,6] = 3^3 ; dsc[567,6] = 3^3*23 ; E [567,6] = [x^3-6*x+3, [1,x,0,x^2-2,x^2+x-3]]; bsd[567,7] = 1 ; deg[567,7] = 3^5 ; dsc[567,7] = 3*107 ; E [567,7] = [x^3-x^2-4*x+1, [1,x,0,x^2-2,x^2-x-1]]; bsd[567,8] = 1/3 ; deg[567,8] = 3^5 ; dsc[567,8] = 3^4 ; E [567,8] = [x^3-3*x^2+3, [1,x,0,x^2-2,-x^2+x+3]]; bsd[567,9] = 1 ; deg[567,9] = 3^6*5^2 ; dsc[567,9] = 2^4*3^2*7^2 ; E [567,9] = [x^4-5*x^2+1, [1,x,0,x^2-2,-2*x^3+10*x]]; bsd[568,1] = 1 ; deg[568,1] = 5 ; dsc[568,1] = 1 ; E [568,1] = [x, [1,0,-1,0,2]]; bsd[568,2] = 0 ; deg[568,2] = 1 ; dsc[568,2] = 2777 ; E [568,2] = [x^4+4*x^3+x^2-5*x+1, [1,0,x,0,x^3+4*x^2+x-4]]; bsd[568,3] = 0 ; deg[568,3] = 1 ; dsc[568,3] = 2777 ; E [568,3] = [x^4+2*x^3-5*x^2-5*x-1, [1,0,x,0,-x^3-2*x^2+5*x+2]]; bsd[568,4] = 1 ; deg[568,4] = 5 ; dsc[568,4] = 17609 ; E [568,4] = [x^4-5*x^3+2*x^2+17*x-16, [1,0,x,0,-x^3+2*x^2+5*x-6]]; bsd[568,5] = 1 ; deg[568,5] = 1 ; dsc[568,5] = 19*103*1213 ; E [568,5] = [x^5-2*x^4-9*x^3+15*x^2+19*x-28, [1,0,x,0,-x^3+2*x^2+5*x-6]]; bsd[569,1] = 0 ; deg[569,1] = 1 ; dsc[569,1] = 73*449531828286229614392569 ; E [569,1] = [x^16+3*x^15-13*x^14-43*x^13+60*x^12+236*x^11-110*x^10-630*x^9+22*x^8+846*x^7+159*x^6-522*x^5-144*x^4+113*x^3+23*x^2-7*x-1, [1,x,5*x^15+8*x^14-78*x^13-110*x^12+479*x^11+567*x^10-1475*x^9-1382*x^8+2370*x^7+1639*x^6-1870*x^5-855*x^4+606*x^3+148*x^2-54*x-8,x^2-2,-x^15-2*x^14+15*x^13+28*x^12-89*x^11-150*x^10+270*x^9+395*x^8-445*x^7-543*x^6+387*x^5+377*x^4-155*x^3-114*x^2+18*x+8]]; bsd[569,2] = 1/71 ; deg[569,2] = 1 ; dsc[569,2] = 2^14*189316003*257022598600391962761793946239*2294643649486046267496627432517 ; E [569,2] = [x^31-53*x^29+1260*x^27+4*x^26-17750*x^25-160*x^24+164884*x^23+2756*x^22-1063367*x^21-26739*x^20+4881497*x^19+160306*x^18-16085855*x^17-611602*x^16+37872670*x^15+1464757*x^14-62581486*x^13-2043005*x^12+70114271*x^11+1238201*x^10-50129555*x^9+450969*x^8+20481249*x^7-1061301*x^6-3789930*x^5+449436*x^4+156552*x^3-18419*x^2-1828*x+173, [2298001006263229332621759037301632,2298001006263229332621759037301632*x,34938771829879644742611717742868*x^30+3499948610297406752899827112624*x^29-1844475596578230736289593366779576*x^28-194751831021874103970201305842696*x^27+43651268320585474827302029335101328*x^26+5016029328846736993120522076438848*x^25-611699332353811359765513807894725048*x^24-78130823040669918661709629924413312*x^23+5647341851698052789393575875027325792*x^22+809350775361255180551159859224785048*x^21-36157163046283803828382832710469733116*x^20-5807356725791890047353201028345690516*x^19+164553305315015726880293017823344410584*x^18+29323240833183176273165338940469506188*x^17-536625081894102141971860248106068773556*x^16-104256930069870845091510614667458193332*x^15+1247458483118488768585150749402284516756*x^14+257902177548767732109711071115829625216*x^13-2029007613374280413217237964809911903276*x^12-432452018144075816622986755917155404348*x^11+2228001122810509280845847775830782670072*x^10+469164328776609554884249583901101924672*x^9-1551138271772695159322695352399829810268*x^8-302568947722931176128086687250322686700*x^7+610250502032479452924269506462579767256*x^6+97088497491537313262187635123981902120*x^5-106381764656848495793137285709296854688*x^4-9163162438656540657730547821522451208*x^3+4142281916707183204808205129556130368*x^2+228218949363142119550959586355651076*x-34786980327211259576049815045993528,2298001006263229332621759037301632*x^2-4596002012526458665243518074603264,42637382117786733305204049413332*x^30+9312225222133864472550272199968*x^29-2259126016822898452598754394695944*x^28-492905045321559761869029739976960*x^27+53686612275479699325259805681000056*x^26+11867323053318118442855359866101312*x^25-755861332060390845781816439607476792*x^24-171184376035191972934657075866683592*x^23+7015085932249952469239007660515327272*x^22+1639091860948709950372153257097643944*x^21-45178823022836040833343655067676374972*x^20-10907813392048524900592916095080283532*x^19+206959137668486369741083489953433370640*x^18+51398226706946190885323213700974978884*x^17-679820971142742752371502628808514823252*x^16-171720338087650070894764240375137484772*x^15+1593053533873354497447067778937394495524*x^14+401632053244589931522391710535737977560*x^13-2614174736647607771308721177597110464636*x^12-639514573602292944959275642033506896972*x^11+2898756214033402069921178958124989736304*x^10+659824283475643389993728649305554647696*x^9-2039996869048721750216447119588061268380*x^8-403385881982131795269835719324527017892*x^7+812262572255560884529739708429879379216*x^6+120760602945954471914571583714512604640*x^5-143555400407463973708956869534278316048*x^4-9519627101068702130193019338353296728*x^3+5599916652084347857543506432920553816*x^2+219545785873766024376969547777130732*x-49521131449558497067183332050150408]]; bsd[570,1] = 1 ; deg[570,1] = 3*7 ; dsc[570,1] = 1 ; E [570,1] = [x, [1,-1,-1,1,-1]]; bsd[570,2] = 0 ; deg[570,2] = 3 ; dsc[570,2] = 1 ; E [570,2] = [x, [1,-1,-1,1,-1]]; bsd[570,3] = 0 ; deg[570,3] = 3 ; dsc[570,3] = 1 ; E [570,3] = [x, [1,-1,-1,1,1]]; bsd[570,4] = 5 ; deg[570,4] = 5*7 ; dsc[570,4] = 1 ; E [570,4] = [x, [1,-1,1,1,-1]]; bsd[570,5] = 0 ; deg[570,5] = 1 ; dsc[570,5] = 1 ; E [570,5] = [x, [1,-1,1,1,1]]; bsd[570,6] = 1 ; deg[570,6] = 3^2 ; dsc[570,6] = 1 ; E [570,6] = [x, [1,-1,1,1,1]]; bsd[570,7] = 1 ; deg[570,7] = 1 ; dsc[570,7] = 1 ; E [570,7] = [x, [1,1,-1,1,-1]]; bsd[570,8] = 1 ; deg[570,8] = 3 ; dsc[570,8] = 1 ; E [570,8] = [x, [1,1,-1,1,1]]; bsd[570,9] = 1 ; deg[570,9] = 3*5 ; dsc[570,9] = 1 ; E [570,9] = [x, [1,1,-1,1,1]]; bsd[570,10] = 7 ; deg[570,10] = 5*7 ; dsc[570,10] = 1 ; E [570,10] = [x, [1,1,1,1,-1]]; bsd[570,11] = 1 ; deg[570,11] = 3^2*5 ; dsc[570,11] = 1 ; E [570,11] = [x, [1,1,1,1,-1]]; bsd[570,12] = 5 ; deg[570,12] = 3*5^2 ; dsc[570,12] = 1 ; E [570,12] = [x, [1,1,1,1,1]]; bsd[570,13] = 1 ; deg[570,13] = 3 ; dsc[570,13] = 1 ; E [570,13] = [x, [1,1,1,1,1]]; bsd[571,1] = 0 ; deg[571,1] = 3 ; dsc[571,1] = 1 ; E [571,1] = [x, [1,-2,-2,2,-2]]; bsd[571,2] = 1 ; deg[571,2] = 3*5 ; dsc[571,2] = 1 ; E [571,2] = [x, [1,0,2,-2,-2]]; bsd[571,3] = 1 ; deg[571,3] = 5*41 ; dsc[571,3] = 5 ; E [571,3] = [x^2-5, [2,2*x,4,6,-x+1]]; bsd[571,4] = 3^2 ; deg[571,4] = 3^2*127 ; dsc[571,4] = 37 ; E [571,4] = [x^2-x-9, [1,1,-2,-1,x]]; bsd[571,5] = 0 ; deg[571,5] = 5*13 ; dsc[571,5] = 2^2*37 ; E [571,5] = [x^3+2*x^2-2*x-2, [1,x,x^2+x-2,x^2-2,-x^2-2*x]]; bsd[571,6] = 1 ; deg[571,6] = 3*1579 ; dsc[571,6] = 2^4*709 ; E [571,6] = [x^4-2*x^3-4*x^2+6*x+2, [1,x,x,x^2-2,-x^2+4]]; bsd[571,7] = 0 ; deg[571,7] = 13*1667 ; dsc[571,7] = 7^4*181 ; E [571,7] = [x^6+x^5-10*x^4-11*x^3+22*x^2+25*x+1, [4,4*x,x^4-9*x^2-2*x+11,4*x^2-8,-2*x^4+2*x^3+12*x^2-10*x-14]]; bsd[571,8] = 0 ; deg[571,8] = 5*1667 ; dsc[571,8] = 2^2*17*79*211*12030433 ; E [571,8] = [x^10+x^9-10*x^8-7*x^7+34*x^6+16*x^5-47*x^4-13*x^3+24*x^2+2*x-2, [1,x,-2*x^9+x^8+20*x^7-15*x^6-59*x^5+52*x^4+52*x^3-49*x^2-3*x+4,x^2-2,-x^9-x^8+9*x^7+6*x^6-25*x^5-10*x^4+22*x^3+3*x^2-2*x]]; bsd[571,9] = 1/5*19 ; deg[571,9] = 3*41*127*1579 ; dsc[571,9] = 5*37*79*293*807024744595934649052018211 ; E [571,9] = [x^18-29*x^16-2*x^15+344*x^14+53*x^13-2152*x^12-547*x^11+7628*x^10+2794*x^9-15277*x^8-7417*x^7+16118*x^6+9851*x^5-7336*x^4-5644*x^3+544*x^2+848*x+96, [9503920240,9503920240*x,951728076*x^17-763269512*x^16-27027409200*x^15+19592002388*x^14+312529091028*x^13-195724728108*x^12-1897176549156*x^11+956845922060*x^10+6501735153948*x^9-2337140515192*x^8-12589837138088*x^7+2473497449784*x^6+12991789189260*x^5-338416234344*x^4-6143789639088*x^3-756693605848*x^2+835902748320*x+140976634688,9503920240*x^2-19007840480,-244936631*x^17+609376372*x^16+6336344275*x^15-16274839918*x^14-63995235068*x^13+172885665713*x^12+315914567416*x^11-932328633395*x^10-765414837228*x^9+2700892881802*x^8+716282387743*x^7-4095628429869*x^6+202016683190*x^5+2916636327719*x^4-555569101432*x^3-778718391832*x^2+140390472600*x+49313888032]]; bsd[572,1] = 1 ; deg[572,1] = 3*5 ; dsc[572,1] = 1 ; E [572,1] = [x, [1,0,1,0,3]]; bsd[572,2] = 0 ; deg[572,2] = 3^3 ; dsc[572,2] = 13 ; E [572,2] = [x^2+3*x-1, [1,0,x,0,0]]; bsd[572,3] = 1 ; deg[572,3] = 3^2*5 ; dsc[572,3] = 3*7 ; E [572,3] = [x^2-3*x-3, [1,0,x-1,0,-2]]; bsd[572,4] = 3 ; deg[572,4] = 3^2*5^2 ; dsc[572,4] = 3*7 ; E [572,4] = [x^2-5*x+1, [1,0,-x+3,0,2]]; bsd[572,5] = 0 ; deg[572,5] = 3^3*7 ; dsc[572,5] = 229 ; E [572,5] = [x^3+2*x^2-4*x-7, [1,0,x,0,x^2-x-5]]; bsd[573,1] = 0 ; deg[573,1] = 3*5 ; dsc[573,1] = 1 ; E [573,1] = [x, [1,-2,1,2,-2]]; bsd[573,2] = 1 ; deg[573,2] = 3 ; dsc[573,2] = 1 ; E [573,2] = [x, [1,-1,1,-1,2]]; bsd[573,3] = 5 ; deg[573,3] = 3*5^2 ; dsc[573,3] = 1 ; E [573,3] = [x, [1,2,1,2,2]]; bsd[573,4] = 0 ; deg[573,4] = 5*29633 ; dsc[573,4] = 61*397 ; E [573,4] = [x^5+3*x^4-x^3-5*x^2+1, [1,x,1,x^2-2,-2*x^4-5*x^3+3*x^2+5*x-2]]; bsd[573,5] = 0 ; deg[573,5] = 3^2 ; dsc[573,5] = 139*29683 ; E [573,5] = [x^6+x^5-7*x^4-5*x^3+12*x^2+7*x-2, [1,x,-1,x^2-2,-x^3-x^2+3*x+2]]; bsd[573,6] = 5 ; deg[573,6] = 5^2 ; dsc[573,6] = 2^5*3^2*73*347609 ; E [573,6] = [x^7-3*x^6-6*x^5+20*x^4+5*x^3-28*x^2+6*x+1, [4,4*x,4,4*x^2-8,-2*x^6+4*x^5+16*x^4-28*x^3-30*x^2+42*x+2]]; bsd[573,7] = 1 ; deg[573,7] = 17*487*3739 ; dsc[573,7] = 2^8*25603*843537791 ; E [573,7] = [x^10-3*x^9-13*x^8+41*x^7+51*x^6-178*x^5-57*x^4+273*x^3-24*x^2-109*x+34, [8,8*x,-8,8*x^2-16,26*x^9-20*x^8-374*x^7+236*x^6+1722*x^5-858*x^4-2764*x^3+1270*x^2+1182*x-564]]; bsd[574,1] = 3 ; deg[574,1] = 3*5*17 ; dsc[574,1] = 1 ; E [574,1] = [x, [1,-1,-2,1,4]]; bsd[574,2] = 0 ; deg[574,2] = 3 ; dsc[574,2] = 1 ; E [574,2] = [x, [1,-1,-1,1,1]]; bsd[574,3] = 0 ; deg[574,3] = 3*5 ; dsc[574,3] = 1 ; E [574,3] = [x, [1,-1,1,1,-3]]; bsd[574,4] = 0 ; deg[574,4] = 3*5 ; dsc[574,4] = 1 ; E [574,4] = [x, [1,-1,2,1,-2]]; bsd[574,5] = 1 ; deg[574,5] = 7 ; dsc[574,5] = 1 ; E [574,5] = [x, [1,-1,2,1,2]]; bsd[574,6] = 1 ; deg[574,6] = 3*5 ; dsc[574,6] = 1 ; E [574,6] = [x, [1,-1,3,1,-1]]; bsd[574,7] = 0 ; deg[574,7] = 3^2*7^2 ; dsc[574,7] = 1 ; E [574,7] = [x, [1,1,-3,1,-1]]; bsd[574,8] = 0 ; deg[574,8] = 11 ; dsc[574,8] = 1 ; E [574,8] = [x, [1,1,-1,1,-1]]; bsd[574,9] = 1 ; deg[574,9] = 3*5 ; dsc[574,9] = 1 ; E [574,9] = [x, [1,1,-1,1,1]]; bsd[574,10] = 0 ; deg[574,10] = 3^2 ; dsc[574,10] = 1 ; E [574,10] = [x, [1,1,0,1,-4]]; bsd[574,11] = 11 ; deg[574,11] = 3*11 ; dsc[574,11] = 2^2*3 ; E [574,11] = [x^2-2*x-2, [1,1,2,1,x]]; bsd[574,12] = 11 ; deg[574,12] = 11*17 ; dsc[574,12] = 2^3*71 ; E [574,12] = [x^3-x^2-8*x+4, [2,2,2*x,2,-x^2+x+6]]; bsd[574,13] = 1 ; deg[574,13] = 43*71 ; dsc[574,13] = 2^4*2837 ; E [574,13] = [x^4+x^3-10*x^2-4*x+8, [4,-4,4*x,4,-x^3+x^2+12*x-4]]; bsd[575,1] = 0 ; deg[575,1] = 7 ; dsc[575,1] = 1 ; E [575,1] = [x, [1,-2,-2,2,0]]; bsd[575,2] = 0 ; deg[575,2] = 3*5 ; dsc[575,2] = 1 ; E [575,2] = [x, [1,-2,0,2,0]]; bsd[575,3] = 0 ; deg[575,3] = 3*5 ; dsc[575,3] = 1 ; E [575,3] = [x, [1,-1,0,-1,0]]; bsd[575,4] = 0 ; deg[575,4] = 3 ; dsc[575,4] = 1 ; E [575,4] = [x, [1,1,0,-1,0]]; bsd[575,5] = 1 ; deg[575,5] = 5*7 ; dsc[575,5] = 1 ; E [575,5] = [x, [1,2,2,2,0]]; bsd[575,6] = 0 ; deg[575,6] = 5 ; dsc[575,6] = 5 ; E [575,6] = [x^2-x-1, [1,x,-2*x+1,x-1,0]]; bsd[575,7] = 1 ; deg[575,7] = 3^2 ; dsc[575,7] = 5 ; E [575,7] = [x^2-3*x+1, [1,x,1,3*x-3,0]]; bsd[575,8] = 1 ; deg[575,8] = 3^4 ; dsc[575,8] = 17^2*53 ; E [575,8] = [x^4+2*x^3-4*x^2-5*x+2, [1,x,x^2+x-2,x^2-2,0]]; bsd[575,9] = 0 ; deg[575,9] = 5*7 ; dsc[575,9] = 2^4*359 ; E [575,9] = [x^4-5*x^2+2*x+1, [1,x,-x^3+4*x-2,x^2-2,0]]; bsd[575,10] = 1 ; deg[575,10] = 5^3*7 ; dsc[575,10] = 2^4*359 ; E [575,10] = [x^4-5*x^2-2*x+1, [1,x,-x^3+4*x+2,x^2-2,0]]; bsd[575,11] = 3 ; deg[575,11] = 3^6*5^4 ; dsc[575,11] = 5*7*628399991 ; E [575,11] = [x^7+x^6-12*x^5-9*x^4+43*x^3+14*x^2-49*x+9, [5,5*x,x^6-2*x^5-11*x^4+19*x^3+31*x^2-39*x-7,5*x^2-10,0]]; bsd[575,12] = 1/5 ; deg[575,12] = 3^6*5^2 ; dsc[575,12] = 5*7*628399991 ; E [575,12] = [x^7-x^6-12*x^5+9*x^4+43*x^3-14*x^2-49*x-9, [5,5*x,-x^6-2*x^5+11*x^4+19*x^3-31*x^2-39*x+7,5*x^2-10,0]]; bsd[576,1] = 1 ; deg[576,1] = 3 ; dsc[576,1] = 1 ; E [576,1] = [x, [1,0,0,0,-4]]; bsd[576,2] = 0 ; deg[576,2] = 1 ; dsc[576,2] = 1 ; E [576,2] = [x, [1,0,0,0,-2]]; bsd[576,3] = 0 ; deg[576,3] = 1 ; dsc[576,3] = 1 ; E [576,3] = [x, [1,0,0,0,-2]]; bsd[576,4] = 1 ; deg[576,4] = 1 ; dsc[576,4] = 1 ; E [576,4] = [x, [1,0,0,0,-2]]; bsd[576,5] = 0 ; deg[576,5] = 1 ; dsc[576,5] = 1 ; E [576,5] = [x, [1,0,0,0,0]]; bsd[576,6] = 1 ; deg[576,6] = 1 ; dsc[576,6] = 1 ; E [576,6] = [x, [1,0,0,0,0]]; bsd[576,7] = 1 ; deg[576,7] = 1 ; dsc[576,7] = 1 ; E [576,7] = [x, [1,0,0,0,2]]; bsd[576,8] = 1 ; deg[576,8] = 1 ; dsc[576,8] = 1 ; E [576,8] = [x, [1,0,0,0,2]]; bsd[576,9] = 1 ; deg[576,9] = 1 ; dsc[576,9] = 1 ; E [576,9] = [x, [1,0,0,0,4]]; bsd[577,1] = 1/3 ; deg[577,1] = 3^3*13 ; dsc[577,1] = 13 ; E [577,1] = [x^2-x-3, [1,0,x,-2,3]]; bsd[577,2] = 1 ; deg[577,2] = 5*59 ; dsc[577,2] = 5 ; E [577,2] = [x^2-3*x+1, [1,x,1,3*x-3,2*x-3]]; bsd[577,3] = 1 ; deg[577,3] = 3^2*5*61 ; dsc[577,3] = 257 ; E [577,3] = [x^3-x^2-4*x+3, [1,x,-x^2+x+3,x^2-2,0]]; bsd[577,4] = 1 ; deg[577,4] = 3^3*13*59*61 ; dsc[577,4] = 2^5*5*163753*85934741209775683850815667 ; E [577,4] = [x^18-8*x^17+2*x^16+136*x^15-265*x^14-830*x^13+2626*x^12+1878*x^11-11525*x^10+1214*x^9+26264*x^8-13076*x^7-31167*x^6+21957*x^5+17488*x^4-13889*x^3-3523*x^2+2770*x-117, [7282855064,7282855064*x,2049217236*x^17-12185517172*x^16-20742959860*x^15+235198140484*x^14-62313118856*x^13-1812541907736*x^12+1663335397912*x^11+7151103405240*x^10-8878779057220*x^9-15368794314708*x^8+21948171300844*x^7+17667537213308*x^6-26943714855064*x^5-9912745425132*x^4+14938264338596*x^3+2125886379480*x^2-2719947253540*x+107453654076,7282855064*x^2-14565710128,323990442*x^17-2592841494*x^16-498564010*x^15+48233327774*x^14-63533055172*x^13-354433155104*x^12+676088051036*x^11+1315236017784*x^10-3025442149106*x^9-2615383653438*x^8+6908096044362*x^7+2749620413338*x^6-8076000635796*x^5-1466677312218*x^4+4303568371646*x^3+389800301052*x^2-732307467954*x+8744579466]]; bsd[577,5] = 0 ; deg[577,5] = 1 ; dsc[577,5] = 41340850017998228328234516909328723846661 ; E [577,5] = [x^22+13*x^21+52*x^20-26*x^19-717*x^18-1318*x^17+2675*x^16+10732*x^15+933*x^14-35021*x^13-30176*x^12+54896*x^11+82861*x^10-34515*x^9-103516*x^8-9063*x^7+63170*x^6+22635*x^5-15588*x^4-9056*x^3+257*x^2+732*x+80, [7313369884,7313369884*x,3748515653*x^21+44109287893*x^20+140914165256*x^19-267364709078*x^18-2349214860709*x^17-2078161037478*x^16+12423097597767*x^15+24925669350132*x^14-26236018799519*x^13-98126137826369*x^12+4828477205948*x^11+196041090738104*x^10+74386678382413*x^9-212669088147639*x^8-131920121006564*x^7+118122974383097*x^6+94964266969258*x^5-25149592224681*x^4-28432755228792*x^3-945869938512*x^2+2142466997693*x+242460930636,7313369884*x^2-14626739768,937997626*x^21+10527973822*x^20+31095470276*x^19-68706787660*x^18-523100932418*x^17-403062995180*x^16+2693644131986*x^15+5191708339056*x^14-5118461470426*x^13-20006794660410*x^12-1823601096644*x^11+37731941963608*x^10+22570895685118*x^9-36815071067862*x^8-36314338883048*x^7+16561099268710*x^6+25611704858772*x^5-1402136395418*x^4-7789138717716*x^3-928678341272*x^2+677429330370*x+91387801548]]; bsd[578,1] = 3 ; deg[578,1] = 3^2 ; dsc[578,1] = 1 ; E [578,1] = [x, [1,1,2,1,0]]; bsd[578,2] = 0 ; deg[578,2] = 17 ; dsc[578,2] = 2^3 ; E [578,2] = [x^2-2, [1,-1,0,1,x]]; bsd[578,3] = 1 ; deg[578,3] = 17 ; dsc[578,3] = 2^3 ; E [578,3] = [x^2-2, [1,1,x,1,2*x]]; bsd[578,4] = 1 ; deg[578,4] = 17 ; dsc[578,4] = 2^5 ; E [578,4] = [x^2-8, [1,1,x,1,-x]]; bsd[578,5] = 0 ; deg[578,5] = 3*17^2 ; dsc[578,5] = 3^4 ; E [578,5] = [x^3+3*x^2-6*x-17, [3,-3,3*x,3,-3*x^2-3*x+18]]; bsd[578,6] = 1/3 ; deg[578,6] = 3*17^2 ; dsc[578,6] = 3^4 ; E [578,6] = [x^3-3*x^2-6*x+17, [3,-3,3*x,3,3*x^2-3*x-18]]; bsd[578,7] = 0 ; deg[578,7] = 3^2*19 ; dsc[578,7] = 3^4 ; E [578,7] = [x^3+3*x^2-1, [1,1,x,1,-x^2-3*x-2]]; bsd[578,8] = 3*19/17 ; deg[578,8] = 3^2*17^2*19 ; dsc[578,8] = 3^4 ; E [578,8] = [x^3-3*x^2+1, [1,1,x,1,x^2-3*x+2]]; bsd[578,9] = 1 ; deg[578,9] = 7^2*17^2 ; dsc[578,9] = 2^11 ; E [578,9] = [x^4-4*x^2+2, [1,-1,x,1,2*x]]; bsd[579,1] = 0 ; deg[579,1] = 3 ; dsc[579,1] = 1 ; E [579,1] = [x, [1,-1,1,-1,0]]; bsd[579,2] = 1 ; deg[579,2] = 5 ; dsc[579,2] = 1 ; E [579,2] = [x, [1,2,-1,2,2]]; bsd[579,3] = 0 ; deg[579,3] = 7^2 ; dsc[579,3] = 2^3 ; E [579,3] = [x^2+4*x+2, [1,-1,-1,-1,x]]; bsd[579,4] = 0 ; deg[579,4] = 3^2*7^2 ; dsc[579,4] = 257 ; E [579,4] = [x^3-5*x+3, [1,x,-1,x^2-2,-x^2-x+2]]; bsd[579,5] = 0 ; deg[579,5] = 3*71 ; dsc[579,5] = 3^4 ; E [579,5] = [x^3-3*x+1, [1,x,1,x^2-2,-x^2-x]]; bsd[579,6] = 1 ; deg[579,6] = 2309 ; dsc[579,6] = 2^12*31*32957*6249391 ; E [579,6] = [x^10-2*x^9-15*x^8+25*x^7+77*x^6-92*x^5-157*x^4+105*x^3+86*x^2-36*x-8, [8,8*x,-8,8*x^2-16,-x^9-x^8+18*x^7+15*x^6-108*x^5-74*x^4+235*x^3+136*x^2-116*x-32]]; bsd[579,7] = 3^2*5^2*199/97 ; deg[579,7] = 3^2*5^2*199 ; dsc[579,7] = 2^20*5*19*56053*699832296607 ; E [579,7] = [x^13-2*x^12-20*x^11+39*x^10+148*x^9-275*x^8-508*x^7+865*x^6+823*x^5-1187*x^4-556*x^3+576*x^2+64*x-48, [8,8*x,8,8*x^2-16,-10*x^12+3*x^11+205*x^10-41*x^9-1550*x^8+108*x^7+5285*x^6+359*x^5-7754*x^4-1305*x^3+3608*x^2+276*x-304]]; bsd[580,1] = 0 ; deg[580,1] = 3 ; dsc[580,1] = 1 ; E [580,1] = [x, [1,0,0,0,-1]]; bsd[580,2] = 0 ; deg[580,2] = 3^2 ; dsc[580,2] = 1 ; E [580,2] = [x, [1,0,0,0,1]]; bsd[580,3] = 1 ; deg[580,3] = 3^6 ; dsc[580,3] = 2^4*3*47 ; E [580,3] = [x^3-2*x^2-8*x+12, [1,0,x,0,-1]]; bsd[580,4] = 1 ; deg[580,4] = 3^3 ; dsc[580,4] = 2^4*37 ; E [580,4] = [x^3-2*x^2-4*x+4, [1,0,x,0,1]]; bsd[581,1] = 0 ; deg[581,1] = 5 ; dsc[581,1] = 613*129589 ; E [581,1] = [x^7+2*x^6-6*x^5-10*x^4+12*x^3+12*x^2-9*x-1, [1,x,-x^4-x^3+4*x^2+2*x-3,x^2-2,x^5+2*x^4-4*x^3-7*x^2+3*x+3]]; bsd[581,2] = 0 ; deg[581,2] = 2671 ; dsc[581,2] = 7*19*271*2683 ; E [581,2] = [x^7-8*x^5+14*x^3+4*x^2-3*x-1, [1,x,4*x^6-2*x^5-31*x^4+15*x^3+48*x^2-6*x-9,x^2-2,-2*x^6+x^5+16*x^4-8*x^3-27*x^2+5*x+5]]; bsd[581,3] = 11/3*7 ; deg[581,3] = 11 ; dsc[581,3] = 2^6*3*23*16782673*10635959072771 ; E [581,3] = [x^13-21*x^11+2*x^10+165*x^9-30*x^8-598*x^7+159*x^6+995*x^5-359*x^4-629*x^3+271*x^2+39*x-3, [28,28*x,16*x^12+22*x^11-312*x^10-398*x^9+2208*x^8+2572*x^7-6788*x^6-6898*x^5+8522*x^4+6330*x^3-3554*x^2-932*x+4,28*x^2-56,-x^12-2*x^11+18*x^10+42*x^9-107*x^8-326*x^7+209*x^6+1127*x^5+42*x^4-1630*x^3-243*x^2+781*x+18]]; bsd[581,4] = 1 ; deg[581,4] = 253447 ; dsc[581,4] = 2^6*5*1726989359*241021063761953 ; E [581,4] = [x^14-x^13-25*x^12+23*x^11+243*x^10-197*x^9-1158*x^8+771*x^7+2788*x^6-1328*x^5-3074*x^4+678*x^3+1064*x^2+222*x+9, [120552,120552*x,-28076*x^13+39224*x^12+696476*x^11-918928*x^10-6677976*x^9+8119024*x^8+31071852*x^7-33521868*x^6-71599628*x^5+64058980*x^4+72021184*x^3-44712672*x^2-18683464*x-559104,120552*x^2-241104,-34252*x^13+44662*x^12+836896*x^11-1046168*x^10-7883004*x^9+9214910*x^8+35940108*x^7-37775538*x^6-81033358*x^5+71267144*x^4+79944200*x^3-48723126*x^2-20700686*x-819708]]; bsd[582,1] = 0 ; deg[582,1] = 3 ; dsc[582,1] = 1 ; E [582,1] = [x, [1,-1,-1,1,0]]; bsd[582,2] = 0 ; deg[582,2] = 5 ; dsc[582,2] = 1 ; E [582,2] = [x, [1,1,-1,1,-2]]; bsd[582,3] = 3 ; deg[582,3] = 3^2*7 ; dsc[582,3] = 1 ; E [582,3] = [x, [1,1,-1,1,0]]; bsd[582,4] = 1 ; deg[582,4] = 1 ; dsc[582,4] = 1 ; E [582,4] = [x, [1,1,1,1,-2]]; bsd[582,5] = 0 ; deg[582,5] = 5*19 ; dsc[582,5] = 2^2*5 ; E [582,5] = [x^2+2*x-4, [1,-1,1,1,-2]]; bsd[582,6] = 1 ; deg[582,6] = 41 ; dsc[582,6] = 2^3 ; E [582,6] = [x^2-8, [2,-2,2,2,4]]; bsd[582,7] = 3 ; deg[582,7] = 3^2*23 ; dsc[582,7] = 2^2*3 ; E [582,7] = [x^2-12, [2,2,-2,2,2*x]]; bsd[582,8] = 11 ; deg[582,8] = 11 ; dsc[582,8] = 2^2*5 ; E [582,8] = [x^2+2*x-4, [1,1,1,1,2]]; bsd[582,9] = 1 ; deg[582,9] = 5*13^2*19 ; dsc[582,9] = 2^4*37 ; E [582,9] = [x^3-2*x^2-12*x+8, [4,-4,-4,4,4*x]]; bsd[583,1] = 1 ; deg[583,1] = 3 ; dsc[583,1] = 1 ; E [583,1] = [x, [1,1,-1,-1,4]]; bsd[583,2] = 1 ; deg[583,2] = 3 ; dsc[583,2] = 1 ; E [583,2] = [x, [1,2,1,2,3]]; bsd[583,3] = 3 ; deg[583,3] = 3*13 ; dsc[583,3] = 1 ; E [583,3] = [x, [1,2,3,2,-3]]; bsd[583,4] = 0 ; deg[583,4] = 3*11 ; dsc[583,4] = 2^2*3 ; E [583,4] = [x^2+2*x-2, [1,x,x+1,-2*x,-x-1]]; bsd[583,5] = 0 ; deg[583,5] = 7 ; dsc[583,5] = 2^3 ; E [583,5] = [x^2-2, [1,x,x-1,0,-x-3]]; bsd[583,6] = 0 ; deg[583,6] = 7*11 ; dsc[583,6] = 2^5*73*31033 ; E [583,6] = [x^6+2*x^5-8*x^4-16*x^3+10*x^2+20*x-1, [2,2*x,-2*x,2*x^2-4,x^5-9*x^3-x^2+16*x+1]]; bsd[583,7] = 0 ; deg[583,7] = 3*43 ; dsc[583,7] = 2^12*3*1721^2 ; E [583,7] = [x^8+8*x^7+17*x^6-10*x^5-58*x^4-16*x^3+45*x^2+10*x-1, [2,x^6+6*x^5+6*x^4-16*x^3-18*x^2+12*x+3,2*x,-2*x^4-8*x^3+16*x+2,-x^7-7*x^6-11*x^5+16*x^4+41*x^3-5*x^2-31*x-4]]; bsd[583,8] = 1 ; deg[583,8] = 3*281 ; dsc[583,8] = 2^6*3^3*69383*112244269 ; E [583,8] = [x^10-3*x^9-10*x^8+30*x^7+34*x^6-92*x^5-53*x^4+95*x^3+32*x^2-28*x-8, [2,2*x,x^9-3*x^8-10*x^7+28*x^6+36*x^5-72*x^4-63*x^3+39*x^2+28*x+2,2*x^2-4,x^9-2*x^8-12*x^7+19*x^6+51*x^5-50*x^4-88*x^3+27*x^2+36*x+6]]; bsd[583,9] = 1/3^2 ; deg[583,9] = 13 ; dsc[583,9] = 2^8*67*313*270575066615351 ; E [583,9] = [x^12-x^11-19*x^10+17*x^9+130*x^8-104*x^7-379*x^6+277*x^5+411*x^4-295*x^3-70*x^2+76*x-12, [236,236*x,88*x^11-74*x^10-1606*x^9+1034*x^8+10572*x^7-4622*x^6-30078*x^5+7402*x^4+33524*x^3-3876*x^2-8316*x+1412,236*x^2-472,-225*x^11+153*x^10+4298*x^9-2393*x^8-29624*x^7+13125*x^6+87528*x^5-30743*x^4-98853*x^3+29222*x^2+23888*x-7464]]; bsd[584,1] = 0 ; deg[584,1] = 1 ; dsc[584,1] = 5 ; E [584,1] = [x^2-x-1, [1,0,x,0,-x-1]]; bsd[584,2] = 0 ; deg[584,2] = 1 ; dsc[584,2] = 229 ; E [584,2] = [x^3+3*x^2-x-4, [1,0,x,0,-x^2-2*x+2]]; bsd[584,3] = 1 ; deg[584,3] = 1 ; dsc[584,3] = 2^4*7*151*4217 ; E [584,3] = [x^6-5*x^5-x^4+28*x^3-8*x^2-40*x-4, [2,0,2*x,0,-x^4+3*x^3+3*x^2-8*x-2]]; bsd[584,4] = 1 ; deg[584,4] = 1 ; dsc[584,4] = 2^9*19*8851691 ; E [584,4] = [x^7+3*x^6-13*x^5-36*x^4+52*x^3+124*x^2-64*x-128, [8,0,8*x,0,-x^6+x^5+21*x^4-12*x^3-120*x^2+36*x+176]]; bsd[585,1] = 0 ; deg[585,1] = 3 ; dsc[585,1] = 1 ; E [585,1] = [x, [1,-2,0,2,-1]]; bsd[585,2] = 1 ; deg[585,2] = 3*7 ; dsc[585,2] = 1 ; E [585,2] = [x, [1,-2,0,2,-1]]; bsd[585,3] = 0 ; deg[585,3] = 3*7 ; dsc[585,3] = 1 ; E [585,3] = [x, [1,-2,0,2,1]]; bsd[585,4] = 0 ; deg[585,4] = 3 ; dsc[585,4] = 1 ; E [585,4] = [x, [1,-1,0,-1,-1]]; bsd[585,5] = 1/3 ; deg[585,5] = 3 ; dsc[585,5] = 1 ; E [585,5] = [x, [1,0,0,-2,-1]]; bsd[585,6] = 0 ; deg[585,6] = 3 ; dsc[585,6] = 1 ; E [585,6] = [x, [1,0,0,-2,1]]; bsd[585,7] = 0 ; deg[585,7] = 3 ; dsc[585,7] = 1 ; E [585,7] = [x, [1,1,0,-1,-1]]; bsd[585,8] = 0 ; deg[585,8] = 3 ; dsc[585,8] = 1 ; E [585,8] = [x, [1,1,0,-1,1]]; bsd[585,9] = 1 ; deg[585,9] = 1 ; dsc[585,9] = 1 ; E [585,9] = [x, [1,1,0,-1,1]]; bsd[585,10] = 0 ; deg[585,10] = 1 ; dsc[585,10] = 17 ; E [585,10] = [x^2+x-4, [1,x,0,-x+2,-1]]; bsd[585,11] = 1 ; deg[585,11] = 11 ; dsc[585,11] = 2^2*3 ; E [585,11] = [x^2-3, [1,x,0,1,1]]; bsd[585,12] = 1 ; deg[585,12] = 3^2 ; dsc[585,12] = 17 ; E [585,12] = [x^2-x-4, [1,x,0,x+2,1]]; bsd[585,13] = 1 ; deg[585,13] = 7^2 ; dsc[585,13] = 2^3 ; E [585,13] = [x^2-2*x-1, [1,x,0,2*x-1,-1]]; bsd[585,14] = 1 ; deg[585,14] = 11 ; dsc[585,14] = 2^4*79 ; E [585,14] = [x^3-7*x+2, [1,x,0,x^2-2,1]]; bsd[586,1] = 1 ; deg[586,1] = 3*5 ; dsc[586,1] = 1 ; E [586,1] = [x, [1,-1,2,1,3]]; bsd[586,2] = 0 ; deg[586,2] = 1 ; dsc[586,2] = 1 ; E [586,2] = [x, [1,1,-1,1,-2]]; bsd[586,3] = 0 ; deg[586,3] = 3^2 ; dsc[586,3] = 1 ; E [586,3] = [x, [1,1,-1,1,0]]; bsd[586,4] = 0 ; deg[586,4] = 13*17 ; dsc[586,4] = 2^2*197 ; E [586,4] = [x^3-2*x^2-12*x+18, [3,-3,-3,3,3*x]]; bsd[586,5] = 0 ; deg[586,5] = 13*29 ; dsc[586,5] = 7^2 ; E [586,5] = [x^3-7*x+7, [1,-1,x,1,-2]]; bsd[586,6] = 1 ; deg[586,6] = 5*17*31*37 ; dsc[586,6] = 2^3*5*23*431 ; E [586,6] = [x^5-11*x^3-6*x^2+16*x+8, [4,-4,4*x,4,x^4-2*x^3-9*x^2+10*x+8]]; bsd[586,7] = 7411/7^2 ; deg[586,7] = 7411 ; dsc[586,7] = 2^2*32489816887247141 ; E [586,7] = [x^10+x^9-24*x^8-19*x^7+200*x^6+126*x^5-681*x^4-352*x^3+804*x^2+328*x-16, [2744,2744,2744*x,2744,797*x^9-621*x^8-17888*x^7+16793*x^6+127102*x^5-126464*x^4-305283*x^3+257032*x^2+164028*x+248]]; bsd[587,1] = 0 ; deg[587,1] = 701 ; dsc[587,1] = 89417 ; E [587,1] = [x^5+3*x^4-3*x^3-11*x^2+2*x+9, [1,x,-x^2-x+2,x^2-2,x^2+x-2]]; bsd[587,2] = 0 ; deg[587,2] = 701 ; dsc[587,2] = 83*435853547457102407 ; E [587,2] = [x^13+3*x^12-11*x^11-36*x^10+37*x^9+146*x^8-32*x^7-233*x^6-22*x^5+141*x^4+30*x^3-21*x^2-3*x+1, [37,37*x,-25*x^12-132*x^11+162*x^10+1629*x^9+356*x^8-6895*x^7-3865*x^6+11650*x^5+6466*x^4-6988*x^3-3077*x^2+498*x+170,37*x^2-74,29*x^12+88*x^11-293*x^10-1012*x^9+737*x^8+3795*x^7+591*x^6-5152*x^5-3435*x^4+2303*x^3+2631*x^2-147*x-212]]; bsd[587,3] = 1/293 ; deg[587,3] = 1 ; dsc[587,3] = 2^6*3^2*1815631*2538066301*2576890286262615769*353411615298021699901978010161260479 ; E [587,3] = [x^31-6*x^30-32*x^29+251*x^28+351*x^27-4616*x^26-325*x^25+49109*x^24-30233*x^23-334486*x^22+353972*x^21+1522925*x^20-2131423*x^19-4689049*x^18+8056051*x^17+9613950*x^16-20122858*x^15-12435554*x^14+33409695*x^13+8703458*x^12-36081141*x^11-1266619*x^10+24223815*x^9-2264825*x^8-9506257*x^7+1294446*x^6+2092064*x^5-240856*x^4-233280*x^3+12384*x^2+9536*x+256, [6259416829782536344271104,6259416829782536344271104*x,28726812763294098351236*x^30-22218616624954407273190*x^29-1570282848179362409328120*x^28+1582734978872642614978372*x^27+37367251207071643993746850*x^26-44406797436756623617192246*x^25-512684622314876327735451672*x^24+684401680498232097249023370*x^23+4515505941938204035240214114*x^22-6597893929217701942787213654*x^21-26844311577571230153527112448*x^20+42357168141936171959645489924*x^19+110050397854802547692335349838*x^18-186629971141433525262346082894*x^17-311633294667125901281774072306*x^16+570007754728384264839968616746*x^15+599255788376214753445130494656*x^14-1199285773455135742589050870020*x^13-750714785338796150913238018752*x^12+1699338595744272380762093889262*x^11+562445704803945186354191594908*x^10-1553380316912156869514395442958*x^9-205654376418812255733842523278*x^8+852760360518000094620748114766*x^7+12369164021143026107244543110*x^6-251687606349848378686007927166*x^5+6669080372130416022779142520*x^4+34676244643139045030674657656*x^3-506162567915936592074098912*x^2-1554889933097099402043164000*x-50652131092818130547314816,6259416829782536344271104*x^2-12518833659565072688542208,336102107959294844707722*x^30-1981500848205626702770744*x^29-10695507406143299435433192*x^28+82003300071237821212514942*x^27+116767133543814680988850946*x^26-1487211620708009172708063812*x^25-117697215265798233574672050*x^24+15533237866953429547955986990*x^23-9642595760892576528120258358*x^22-103166558728137743259641720192*x^21+111473553200589761745727415504*x^20+453113777640937292378220306754*x^19-656695361060426672817330386946*x^18-1320512279740846974104910794950*x^17+2405691455614371640845552611162*x^16+2465535761187758184832887894744*x^15-5744904930741562734463340811116*x^14-2619218284440090312223748368204*x^13+8916145822578288676736877770830*x^12+843286159216913029697782296272*x^11-8643563903444578893422572555226*x^10+1253888125631863425175155354286*x^9+4805628249293597110063932155146*x^8-1442501450755029913992725592638*x^7-1317275577104347970714519345486*x^6+500148229103531861707763394376*x^5+157579035431597161803114274552*x^4-65052357411630479130366007232*x^3-6123141963131798267178675872*x^2+2371817954180910611923189248*x+76421119781073874925087232]]; bsd[588,1] = 1 ; deg[588,1] = 3^2*5 ; dsc[588,1] = 1 ; E [588,1] = [x, [1,0,-1,0,-2]]; bsd[588,2] = 0 ; deg[588,2] = 3 ; dsc[588,2] = 1 ; E [588,2] = [x, [1,0,-1,0,-2]]; bsd[588,3] = 0 ; deg[588,3] = 3^2 ; dsc[588,3] = 1 ; E [588,3] = [x, [1,0,-1,0,0]]; bsd[588,4] = 1 ; deg[588,4] = 3^2 ; dsc[588,4] = 1 ; E [588,4] = [x, [1,0,1,0,-4]]; bsd[588,5] = 3 ; deg[588,5] = 3*7 ; dsc[588,5] = 1 ; E [588,5] = [x, [1,0,1,0,2]]; bsd[588,6] = 5 ; deg[588,6] = 3^2*5*7 ; dsc[588,6] = 1 ; E [588,6] = [x, [1,0,1,0,2]]; bsd[589,1] = 1 ; deg[589,1] = 79 ; dsc[589,1] = 2^2*79 ; E [589,1] = [x^3-x^2-4*x+2, [1,x,x^2-x-2,x^2-2,x^2-3]]; bsd[589,2] = 0 ; deg[589,2] = 3*79 ; dsc[589,2] = 2^2*1627*270669629 ; E [589,2] = [x^9+4*x^8-5*x^7-34*x^6-7*x^5+90*x^4+61*x^3-69*x^2-64*x-6, [1,x,-2*x^8-5*x^7+17*x^6+41*x^5-45*x^4-104*x^3+31*x^2+79*x+10,x^2-2,7*x^8+17*x^7-61*x^6-139*x^5+169*x^4+348*x^3-133*x^2-256*x-27]]; bsd[589,3] = 1 ; deg[589,3] = 7*79 ; dsc[589,3] = 2^3*7^3*13*652823323 ; E [589,3] = [x^9-14*x^7+64*x^5+2*x^4-106*x^3-5*x^2+49*x-7, [16,16*x,-10*x^8+14*x^7+130*x^6-166*x^5-494*x^4+550*x^3+482*x^2-436*x+66,16*x^2-32,-8*x^8+8*x^7+104*x^6-104*x^5-408*x^4+376*x^3+456*x^2-320*x-8]]; bsd[589,4] = 0 ; deg[589,4] = 1 ; dsc[589,4] = 2^2*7^2*167*13234312379 ; E [589,4] = [x^10-13*x^8+53*x^6-4*x^5-77*x^4+13*x^3+38*x^2-10*x-2, [1,x,-4*x^9+4*x^8+47*x^7-47*x^6-153*x^5+169*x^4+98*x^3-147*x^2+31*x+4,x^2-2,11*x^9-11*x^8-130*x^7+129*x^6+430*x^5-463*x^4-301*x^3+404*x^2-62*x-15]]; bsd[589,5] = 1/5 ; deg[589,5] = 5*79 ; dsc[589,5] = 2^12*13*1279*294479*2305819226881 ; E [589,5] = [x^14-23*x^12+204*x^10-880*x^8+x^7+1913*x^6-12*x^5-1943*x^4+37*x^3+730*x^2-26*x-18, [2890168,2890168*x,-72118*x^13+242406*x^12+1291172*x^11-4653652*x^10-7810180*x^9+31680212*x^8+18369044*x^7-91165754*x^6-18628316*x^5+104232180*x^4+26485246*x^3-35466724*x^2-22357224*x+838604,2890168*x^2-5780336,-35740*x^13-203880*x^12+1045840*x^11+3878056*x^10-11726632*x^9-25911824*x^8+62710320*x^7+71578788*x^6-161471012*x^5-73841884*x^4+177140040*x^3+18044424*x^2-56355224*x+3649208]]; bsd[590,1] = 1/3 ; deg[590,1] = 11 ; dsc[590,1] = 1 ; E [590,1] = [x, [1,-1,-2,1,-1]]; bsd[590,2] = 0 ; deg[590,2] = 3 ; dsc[590,2] = 1 ; E [590,2] = [x, [1,-1,0,1,1]]; bsd[590,3] = 1 ; deg[590,3] = 3*5 ; dsc[590,3] = 1 ; E [590,3] = [x, [1,-1,0,1,1]]; bsd[590,4] = 0 ; deg[590,4] = 3^2 ; dsc[590,4] = 1 ; E [590,4] = [x, [1,1,-2,1,1]]; bsd[590,5] = 0 ; deg[590,5] = 3*13 ; dsc[590,5] = 2^2*3 ; E [590,5] = [x^2+2*x-2, [1,-1,x,1,-1]]; bsd[590,6] = 3 ; deg[590,6] = 3^2*5*13*89 ; dsc[590,6] = 2^3*5 ; E [590,6] = [x^2-10, [1,-1,x,1,1]]; bsd[590,7] = 1 ; deg[590,7] = 3^2*13 ; dsc[590,7] = 13 ; E [590,7] = [x^2-x-3, [1,-1,x,1,1]]; bsd[590,8] = 1 ; deg[590,8] = 11*359 ; dsc[590,8] = 5 ; E [590,8] = [x^2-3*x+1, [1,-1,x,1,-1]]; bsd[590,9] = 0 ; deg[590,9] = 97 ; dsc[590,9] = 2^3 ; E [590,9] = [x^2+4*x+2, [1,1,x,1,-1]]; bsd[590,10] = 29/3 ; deg[590,10] = 7*29 ; dsc[590,10] = 3^3*23 ; E [590,10] = [x^3-3*x^2-3*x+8, [1,1,x,1,-1]]; bsd[590,11] = 3*17 ; deg[590,11] = 3*17*29 ; dsc[590,11] = 2^2*3^3*11^2 ; E [590,11] = [x^4-3*x^3-3*x^2+12*x-6, [1,1,x,1,1]]; bsd[591,1] = 0 ; deg[591,1] = 1 ; dsc[591,1] = 1 ; E [591,1] = [x, [1,0,-1,-2,0]]; bsd[591,2] = 0 ; deg[591,2] = 17 ; dsc[591,2] = 2^3 ; E [591,2] = [x^2-2, [1,x,-1,0,0]]; bsd[591,3] = 0 ; deg[591,3] = 67 ; dsc[591,3] = 2^2*37 ; E [591,3] = [x^3+2*x^2-2*x-2, [1,x,1,x^2-2,-2]]; bsd[591,4] = 29*139/3*11 ; deg[591,4] = 29*139 ; dsc[591,4] = 2^4*1129*3868790983254648193 ; E [591,4] = [x^13-5*x^12-9*x^11+77*x^10-19*x^9-403*x^8+359*x^7+867*x^6-1075*x^5-635*x^4+1041*x^3-50*x^2-112*x-12, [15,15*x,15,15*x^2-30,12*x^12-48*x^11-146*x^10+748*x^9+370*x^8-3986*x^7+1057*x^6+8791*x^5-5384*x^4-6694*x^3+5758*x^2-422*x-276]]; bsd[591,5] = 1 ; deg[591,5] = 13*159499 ; dsc[591,5] = 2^2*11*4297*2166165373*1055829150151 ; E [591,5] = [x^14-24*x^12+220*x^10-958*x^8+4*x^7+2002*x^6-28*x^5-1792*x^4+15*x^3+520*x^2-40*x-26, [4218661,4218661*x,-4218661,4218661*x^2-8437322,-87900*x^13+165334*x^12+1750432*x^11-4146352*x^10-12291918*x^9+38560284*x^8+34173428*x^7-164306453*x^6-21470581*x^5+315968754*x^4-34702944*x^3-217400772*x^2+10013322*x+21275402]]; bsd[592,1] = 0 ; deg[592,1] = 3 ; dsc[592,1] = 1 ; E [592,1] = [x, [1,0,-1,0,0]]; bsd[592,2] = 0 ; deg[592,2] = 3 ; dsc[592,2] = 1 ; E [592,2] = [x, [1,0,1,0,-4]]; bsd[592,3] = 0 ; deg[592,3] = 1 ; dsc[592,3] = 1 ; E [592,3] = [x, [1,0,1,0,-2]]; bsd[592,4] = 1 ; deg[592,4] = 1 ; dsc[592,4] = 1 ; E [592,4] = [x, [1,0,1,0,0]]; bsd[592,5] = 1 ; deg[592,5] = 5 ; dsc[592,5] = 1 ; E [592,5] = [x, [1,0,3,0,-2]]; bsd[592,6] = 0 ; deg[592,6] = 3^2 ; dsc[592,6] = 13 ; E [592,6] = [x^2+3*x-1, [1,0,x,0,x+1]]; bsd[592,7] = 1 ; deg[592,7] = 3^2*5 ; dsc[592,7] = 5 ; E [592,7] = [x^2-x-1, [1,0,x,0,3*x-1]]; bsd[592,8] = 1 ; deg[592,8] = 3^2 ; dsc[592,8] = 17 ; E [592,8] = [x^2-x-4, [1,0,x,0,2]]; bsd[592,9] = 0 ; deg[592,9] = 1 ; dsc[592,9] = 229 ; E [592,9] = [x^3+2*x^2-4*x-7, [1,0,x,0,-x-1]]; bsd[592,10] = 1 ; deg[592,10] = 1 ; dsc[592,10] = 11*53*83 ; E [592,10] = [x^4+2*x^3-8*x^2-15*x+4, [1,0,x,0,-x^3+7*x+2]]; bsd[593,1] = 1 ; deg[593,1] = 29 ; dsc[593,1] = 1 ; E [593,1] = [x, [1,-1,-2,-1,2]]; bsd[593,2] = 0 ; deg[593,2] = 11 ; dsc[593,2] = 1 ; E [593,2] = [x, [1,1,1,-1,-2]]; bsd[593,3] = 1 ; deg[593,3] = 17*79 ; dsc[593,3] = 13 ; E [593,3] = [x^2+x-3, [1,x,3,-x+1,x]]; bsd[593,4] = 0 ; deg[593,4] = 11 ; dsc[593,4] = 11*3863*108112669020412326366953149 ; E [593,4] = [x^18+6*x^17-5*x^16-90*x^15-73*x^14+513*x^13+762*x^12-1357*x^11-2824*x^10+1537*x^9+5041*x^8-155*x^7-4451*x^6-1013*x^5+1717*x^4+621*x^3-169*x^2-67*x-5, [77405,77405*x,30089*x^17+196712*x^16-80941*x^15-2917062*x^14-3334631*x^13+16340965*x^12+30376198*x^11-41954812*x^10-109963440*x^9+44284118*x^8+197735390*x^7+1261245*x^6-180322234*x^5-34934295*x^4+74915778*x^3+19329975*x^2-9540876*x-1657130,77405*x^2-154810,15145*x^17+49430*x^16-274965*x^15-907580*x^14+2163990*x^13+6917590*x^12-9863370*x^11-28432395*x^10+28769405*x^9+68283190*x^8-53739220*x^7-95989930*x^6+59302885*x^5+73104460*x^4-32947915*x^3-24337830*x^2+6442270*x+1472355]]; bsd[593,5] = 1/37 ; deg[593,5] = 17*29*79 ; dsc[593,5] = 2^10*221581439888030401397249*50171253218568826213573761660007 ; E [593,5] = [x^27-6*x^26-27*x^25+223*x^24+202*x^23-3540*x^22+1168*x^21+31305*x^20-31392*x^19-168192*x^18+251531*x^17+557742*x^16-1110745*x^15-1082936*x^14+2980971*x^13+955846*x^12-4886233*x^11+371289*x^10+4628707*x^9-1560432*x^8-2181895*x^7+1126402*x^6+342467*x^5-211917*x^4-24514*x^3+13047*x^2+863*x-191, [14938548438611217974850176,14938548438611217974850176*x,78823051026834314071153*x^26-38580238295054732749001*x^25-3826833628228877783879488*x^24+2543373167878469276218783*x^23+80184314123672879790326669*x^22-64306213508038263020773243*x^21-953780387927520787235052591*x^20+869571602661906471406058934*x^19+7118586934978818874848929966*x^18-7132394709249052389280743898*x^17-34738424861779696581479933095*x^16+37528306645270660824933636035*x^15+111830616296419524743851449038*x^14-129263496995400281522238106146*x^13-233220876822365846576296345503*x^12+289867762219915898364724283699*x^11+298554642264583077584853550958*x^10-409612441057011694798650854705*x^9-205951000191568139545302898170*x^8+338690380680517351265301688014*x^7+48396169583494404224762890303*x^6-139228088255988890476783490683*x^5+11454853877451523370258402964*x^4+18412423125451536272956571047*x^3-1935634123680871104156646839*x^2-739727232477250840971775652*x+41785103301495500717197499,14938548438611217974850176*x^2-29877096877222435949700352,133358055392002612352166*x^26-242295143403970458605158*x^25-5795511768923625105863008*x^24+10383731588353735547302106*x^23+110312812189033855390480862*x^22-195056476960132129562501986*x^21-1207885598306500104110612938*x^20+2112316632848985844554762564*x^19+8397788507650121261010951028*x^18-14588663496330858283893642076*x^17-38567983952522802857195756746*x^16+67116420360664206708972172162*x^15+117763301729894850806953740820*x^14-208500336561894660888608433324*x^13-233612192299143594167599058042*x^12+433513406363510457033659161154*x^11+281510547334768297419644608180*x^10-583343067365504581481176330918*x^9-171134202205736455349921849516*x^8+472467972824178399475383425796*x^7+13375484266993873996883951146*x^6-197176055511769492214019828898*x^5+29115200363544548701094588744*x^4+28507869109234512563488907802*x^3-4482802913676140216563718090*x^2-1254289614624259260735407816*x+102727254389678591590079506]]; bsd[594,1] = 1/3 ; deg[594,1] = 3^2*5 ; dsc[594,1] = 1 ; E [594,1] = [x, [1,-1,0,1,-3]]; bsd[594,2] = 0 ; deg[594,2] = 3*5 ; dsc[594,2] = 1 ; E [594,2] = [x, [1,-1,0,1,-2]]; bsd[594,3] = 0 ; deg[594,3] = 3 ; dsc[594,3] = 1 ; E [594,3] = [x, [1,-1,0,1,-2]]; bsd[594,4] = 1 ; deg[594,4] = 3 ; dsc[594,4] = 1 ; E [594,4] = [x, [1,-1,0,1,1]]; bsd[594,5] = 1 ; deg[594,5] = 3^2 ; dsc[594,5] = 1 ; E [594,5] = [x, [1,1,0,1,-1]]; bsd[594,6] = 1 ; deg[594,6] = 3^2*5 ; dsc[594,6] = 1 ; E [594,6] = [x, [1,1,0,1,2]]; bsd[594,7] = 1 ; deg[594,7] = 3^2 ; dsc[594,7] = 1 ; E [594,7] = [x, [1,1,0,1,2]]; bsd[594,8] = 5 ; deg[594,8] = 3*5 ; dsc[594,8] = 1 ; E [594,8] = [x, [1,1,0,1,3]]; bsd[594,9] = 1 ; deg[594,9] = 3^2*13 ; dsc[594,9] = 2^3*5 ; E [594,9] = [x^2+2*x-9, [1,-1,0,1,x]]; bsd[594,10] = 13/3 ; deg[594,10] = 3^3*13 ; dsc[594,10] = 2^3*5 ; E [594,10] = [x^2-2*x-9, [1,1,0,1,x]]; bsd[595,1] = 1 ; deg[595,1] = 3*11*13 ; dsc[595,1] = 1 ; E [595,1] = [x, [1,-2,2,2,-1]]; bsd[595,2] = 7 ; deg[595,2] = 5*7^2 ; dsc[595,2] = 1 ; E [595,2] = [x, [1,2,2,2,-1]]; bsd[595,3] = 1 ; deg[595,3] = 7 ; dsc[595,3] = 1 ; E [595,3] = [x, [1,2,2,2,1]]; bsd[595,4] = 0 ; deg[595,4] = 13*71 ; dsc[595,4] = 7^2 ; E [595,4] = [x^3+4*x^2+3*x-1, [1,x,-x^2-2*x,x^2-2,1]]; bsd[595,5] = 0 ; deg[595,5] = 13*127 ; dsc[595,5] = 7^2 ; E [595,5] = [x^3+2*x^2-x-1, [1,x,x^2+2*x-2,x^2-2,1]]; bsd[595,6] = 0 ; deg[595,6] = 5^2 ; dsc[595,6] = 13^2 ; E [595,6] = [x^3+2*x^2-3*x-5, [1,x,x^2-4,x^2-2,-1]]; bsd[595,7] = 0 ; deg[595,7] = 17 ; dsc[595,7] = 3^4 ; E [595,7] = [x^3-3*x-1, [1,x,-x^2+2,x^2-2,-1]]; bsd[595,8] = 1 ; deg[595,8] = 13*71 ; dsc[595,8] = 7^2 ; E [595,8] = [x^3-2*x^2-x+1, [1,x,x^2-2,x^2-2,-1]]; bsd[595,9] = 1 ; deg[595,9] = 7 ; dsc[595,9] = 10889 ; E [595,9] = [x^4-x^3-5*x^2+2*x+1, [1,x,x^3-x^2-5*x+1,x^2-2,1]]; bsd[595,10] = 1 ; deg[595,10] = 23*59 ; dsc[595,10] = 2777 ; E [595,10] = [x^4-2*x^3-3*x^2+3*x+2, [1,x,-x^2+2*x+2,x^2-2,1]]; bsd[595,11] = 7 ; deg[595,11] = 7^3*97 ; dsc[595,11] = 2^5*3^4*1597 ; E [595,11] = [x^5-2*x^4-8*x^3+11*x^2+17*x-7, [1,x,x^3-x^2-5*x+1,x^2-2,-1]]; bsd[596,1] = 0 ; deg[596,1] = 3^3 ; dsc[596,1] = 3^4 ; E [596,1] = [x^3-3*x-1, [1,0,x,0,-x-1]]; bsd[596,2] = 3^3 ; deg[596,2] = 3^9 ; dsc[596,2] = 2^6*9227*396533*3294817 ; E [596,2] = [x^10-24*x^8-x^7+203*x^6+3*x^5-757*x^4+12*x^3+1227*x^2-37*x-654, [43469,0,43469*x,0,-2857*x^9+4679*x^8+59627*x^7-92103*x^6-405274*x^5+602759*x^4+1018893*x^3-1379945*x^2-739572*x+816070]]; bsd[597,1] = 1 ; deg[597,1] = 3^2*7*17 ; dsc[597,1] = 2^3 ; E [597,1] = [x^2-2*x-1, [1,x,-1,2*x-1,0]]; bsd[597,2] = 0 ; deg[597,2] = 127 ; dsc[597,2] = 7^2 ; E [597,2] = [x^3+2*x^2-x-1, [1,x,1,x^2-2,-x-1]]; bsd[597,3] = 1 ; deg[597,3] = 17*53 ; dsc[597,3] = 3^4 ; E [597,3] = [x^3-3*x+1, [1,x,-1,x^2-2,2*x^2+x-3]]; bsd[597,4] = 0 ; deg[597,4] = 11^2 ; dsc[597,4] = 223181300807033441 ; E [597,4] = [x^11+5*x^10-4*x^9-49*x^8-23*x^7+159*x^6+131*x^5-193*x^4-183*x^3+70*x^2+64*x-5, [63,63*x,-63,63*x^2-126,-47*x^10-192*x^9+365*x^8+1957*x^7-751*x^6-6676*x^5+172*x^4+8541*x^3+429*x^2-3212*x+125]]; bsd[597,5] = 19^2/5^2 ; deg[597,5] = 19^2 ; dsc[597,5] = 2^3*5*19*158506897*9899858109448943 ; E [597,5] = [x^14-2*x^13-22*x^12+43*x^11+183*x^10-345*x^9-718*x^8+1278*x^7+1334*x^6-2159*x^5-982*x^4+1362*x^3+131*x^2-247*x+19, [28250,28250*x,28250,28250*x^2-56500,-186*x^13+2014*x^12-7916*x^11-25296*x^10+189274*x^9+25692*x^8-1305276*x^7+643164*x^6+3506818*x^5-2194072*x^4-3285414*x^3+1477976*x^2+664612*x-179122]]; bsd[598,1] = 0 ; deg[598,1] = 3*5 ; dsc[598,1] = 1 ; E [598,1] = [x, [1,-1,-3,1,-3]]; bsd[598,2] = 0 ; deg[598,2] = 3 ; dsc[598,2] = 1 ; E [598,2] = [x, [1,-1,0,1,0]]; bsd[598,3] = 0 ; deg[598,3] = 17 ; dsc[598,3] = 1 ; E [598,3] = [x, [1,1,-1,1,-1]]; bsd[598,4] = 1 ; deg[598,4] = 3 ; dsc[598,4] = 1 ; E [598,4] = [x, [1,1,-1,1,3]]; bsd[598,5] = 1 ; deg[598,5] = 3*263 ; dsc[598,5] = 2^2*3 ; E [598,5] = [x^2-3, [1,-1,x,1,1]]; bsd[598,6] = 1 ; deg[598,6] = 3^2 ; dsc[598,6] = 17 ; E [598,6] = [x^2-x-4, [1,-1,x,1,x]]; bsd[598,7] = 0 ; deg[598,7] = 3^2*7 ; dsc[598,7] = 2^3 ; E [598,7] = [x^2+2*x-1, [1,1,x,1,-2*x-3]]; bsd[598,8] = 5 ; deg[598,8] = 3*5^2 ; dsc[598,8] = 2^3*3 ; E [598,8] = [x^2-6, [1,1,2,1,x]]; bsd[598,9] = 0 ; deg[598,9] = 11 ; dsc[598,9] = 2^4*3^2*11^2 ; E [598,9] = [x^4-7*x^2+4, [2,-2,2*x,2,x^3-7*x-2]]; bsd[598,10] = 11 ; deg[598,10] = 11^2 ; dsc[598,10] = 2^7*21089 ; E [598,10] = [x^5-2*x^4-9*x^3+12*x^2+16*x-16, [4,4,4*x,4,-x^4+2*x^3+5*x^2-4*x]]; bsd[599,1] = 0 ; deg[599,1] = 29 ; dsc[599,1] = 5 ; E [599,1] = [x^2-x-1, [1,x,x-2,x-1,-1]]; bsd[599,2] = 0 ; deg[599,2] = 29 ; dsc[599,2] = 3065809959046273 ; E [599,2] = [x^11+3*x^10-9*x^9-30*x^8+24*x^7+97*x^6-24*x^5-130*x^4+4*x^3+69*x^2+5*x-9, [1,x,-x^10-5*x^9+2*x^8+42*x^7+36*x^6-94*x^5-117*x^4+61*x^3+99*x^2+2*x-13,x^2-2,2*x^10+9*x^9-6*x^8-75*x^7-55*x^6+165*x^5+195*x^4-104*x^3-173*x^2-5*x+26]]; bsd[599,3] = 1/13*23 ; deg[599,3] = 1 ; dsc[599,3] = 31*71576732123208520235681*35354889297860178111647390671*102783437542844988646848791587456163309 ; E [599,3] = [x^37-x^36-60*x^35+60*x^34+1641*x^33-1636*x^32-27103*x^31+26856*x^30+301872*x^29-296435*x^28-2397835*x^27+2327508*x^26+14006000*x^25-13412885*x^24-61122433*x^23+57706157*x^22+200364245*x^21-186717791*x^20-491544743*x^19+454176025*x^18+890367021*x^17-823898463*x^16-1159540663*x^15+1095980601*x^14+1034139025*x^13-1037779758*x^12-572612624*x^11+663947955*x^10+148686207*x^9-259675446*x^8+11118861*x^7+48962840*x^6-12479539*x^5-1361501*x^4+713002*x^3-23486*x^2-10349*x+751, [70382168570064144260123304196445673588863173574768346131083,70382168570064144260123304196445673588863173574768346131083*x,494724316192210988624153889552501147390989874565751640956*x^36-365708735173184385397959516079803257801525015178607125427*x^35-29717146551892726995560933500666659141596855483477807265664*x^34+21881222253166635578946394783540525441936616329095495436101*x^33+814012587123968646537189872033449679480165327828790759742161*x^32-594027621886049346885940220561576272440965311639693295804720*x^31-13471610343325848235232192944619819234698079501559264936103876*x^30+9692559030029251660336537405534342792716620976580815369735572*x^29+150442578753387876295769846117437478558420779706686292954384767*x^28-106151928178012517759973521857956781020313298010315083785711782*x^27-1199100720137741716321427088021693300395548325807757465767180366*x^26+825443637504298067631652331119805987678010634556359189645597020*x^25+7035527492250636271525096621349322701449909335620657934950855062*x^24-4702290601440104804100754722651863699840350370792131299708187158*x^23-30886525211273178487780730761063855527555786781702333482249497974*x^22+19963857897840007797692104760156086436513895920963437144644801886*x^21+102074505471383454045592498660170028215259593872537493941111638198*x^20-63655643746566664778119505101250986409370840617605071005776064801*x^19-253318380306682174883300066368741650117817559585591303119421128378*x^18+152482085471906512585832084423016949155004852591154947164715383368*x^17+466843431909937470968794884091277718367346566152162720127499229118*x^16-272599975856089527945320431957604799956263438303207296276678194970*x^15-625150747634654952962103950789206036261738666092601119658093980158*x^14+358469547144573101905562059616806350314433304331999434472673495778*x^13+586088584802401271189546647184684506475068328383437278259805961938*x^12-337848722632412272872382558622364119364372699589110410831998988854*x^11-360735446353365720160896593216511128597230788410062471408901820321*x^10+217862261766905187756066384499378809189149730261329504317980496114*x^9+128549363332682222407744009687290495599115694750701470763030277121*x^8-87846107627430139929999276411753468046141438388929568459951483401*x^7-18670068070915368693207665255051233869742827107689127814416534251*x^6+18044608026791589065273553255860643900515216512230573561063315248*x^5-876711828972238137452472062415090214443519072250043696175833550*x^4-936576141541274743950005620183015824397006164202706404222635467*x^3+85485387701812268646037207764909271411889995241452750917438480*x^2+14523934554534743211818532777517937904053192782520423254249078*x-1231237241812573260633202108059395187900994255130959291760286,70382168570064144260123304196445673588863173574768346131083*x^2-140764337140128288520246608392891347177726347149536692262166,465953578348523749264170236258517919182972121027034746953*x^36-271941200566045645507767178623555542732515894312008357040*x^35-28054842168030978391947665974263170862213736576475469247120*x^34+16232583142594679892763301390877318176046221546987378454779*x^33+770506872508972877903960785853308990432259945066165774766448*x^32-438978578133403366225671003659127742742100066865710084097671*x^31-12789125464232551738939162877632083528244228589223728744958312*x^30+7123071906692041407824763972001052348751051503985767688509599*x^29+143287252468637330291275580264256925295647017774153764934569319*x^28-77435420247516505368717182445707503649172420280114810830220550*x^27-1146192113714352094583413378300599379330484666912220666227655926*x^26+596472810753389382537749000371241273141246198291911048717089219*x^25+6751929270138227122298058256948393240186355217230210534446843818*x^24-3358499720437650098641760774306141111920220332513278882886833516*x^23-29772892605680068061798040461927649637722955906127954881742375038*x^22+14061604288131500460220607821666439715795164941489440139190926754*x^21+98885849937241669310852929033697096631730897332241793124462601962*x^20-44126212647463203714968770898406715279867297042956710373298990290*x^19-246832158346707810227476814090097796060640350848344412163035080770*x^18+103891680323015390844920322598432903543344563174094402462622850782*x^17+458152899758347865307954318308815752545258277154125222721628023358*x^16-182618265273521595614399164051196046371232036545619814080920357769*x^15-619484522675352907645159256900565978237798751524901011750576706066*x^14+236935208004572847018813797193125180800354971617912669128919473008*x^13+589578703088810312308808807937923765453678886002869023323484174118*x^12-222165858294374993912125056409205304807311105437906209827775841365*x^11-373141451123067379455473109790569567123551785101670030683020903659*x^10+144607011690380409605127537487749805664701879111086416259455560704*x^9+141921756362776232375921403079873454391947639001472504177633821785*x^8-60056041524019466718059188105041218448131089374434896651214119798*x^7-25995559156380394757194014731866205995628813296954061948611427903*x^6+13065271006497349473849415532495471514884253482481100779550889754*x^5+905768584153855192140721783465511634515231481393146887556298551*x^4-804505616745360037092769894117791239892037085873039801144828979*x^3+15906322028840176792679981580882225264641890733838834600533054*x^2+13464312851266181788313423022349487913496618573001138484706462*x-700344232178491773264652145832801629671534075703803422561563]]; bsd[600,1] = 1 ; deg[600,1] = 3 ; dsc[600,1] = 1 ; E [600,1] = [x, [1,0,-1,0,0]]; bsd[600,2] = 0 ; deg[600,2] = 3 ; dsc[600,2] = 1 ; E [600,2] = [x, [1,0,-1,0,0]]; bsd[600,3] = 0 ; deg[600,3] = 3 ; dsc[600,3] = 1 ; E [600,3] = [x, [1,0,-1,0,0]]; bsd[600,4] = 1 ; deg[600,4] = 3 ; dsc[600,4] = 1 ; E [600,4] = [x, [1,0,-1,0,0]]; bsd[600,5] = 1 ; deg[600,5] = 3*5*7 ; dsc[600,5] = 1 ; E [600,5] = [x, [1,0,-1,0,0]]; bsd[600,6] = 0 ; deg[600,6] = 3*7 ; dsc[600,6] = 1 ; E [600,6] = [x, [1,0,1,0,0]]; bsd[600,7] = 3 ; deg[600,7] = 3*5 ; dsc[600,7] = 1 ; E [600,7] = [x, [1,0,1,0,0]]; bsd[600,8] = 1 ; deg[600,8] = 1 ; dsc[600,8] = 1 ; E [600,8] = [x, [1,0,1,0,0]]; bsd[600,9] = 1 ; deg[600,9] = 3*5 ; dsc[600,9] = 1 ; E [600,9] = [x, [1,0,1,0,0]];