CoCalc
Sharedwww / Tables / ss_p1-499.gpOpen in CoCalc
Author: William A. Stein
1
\\ ssbasis[p] = [f(x), [j1(x), ..., jn(x)]];
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\\ ssmon [p] = [w1, ..., wn];
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\\ sseigen[p,1] = [g(x), [a1(x), ..., an(x)]];
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\\ ....................
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\\ sseigen[p,m] = [g(x), [a1(x), ..., an(x)]];
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\\
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\\ ssbasis = supersingular basis
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\\ ssmon = monodromy pairing weights
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\\ sseigen = ordered list of eigenvectors on supersingular basis
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\\ William Stein ([email protected])
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13
ssbasis[11] = [x^2+1, [0,(1)]];
14
ssmon[11] = [3,2];
15
sseigen[11,1] = [x+2, [-1, 1]];
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17
ssbasis[17] = [x^2+3, [0,(8)]];
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ssmon[17] = [3,1];
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sseigen[17,1] = [x+1, [-1, 1]];
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21
ssbasis[19] = [x^2+1, [(7),(18)]];
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ssmon[19] = [1,2];
23
sseigen[19,1] = [x, [-1, 1]];
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25
ssbasis[23] = [x^2+1, [0,(3),(19)]];
26
ssmon[23] = [3,2,1];
27
sseigen[23,1] = [x^2+x-1, [-x-1, x+2, -1]];
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29
ssbasis[29] = [x^2+2, [0,(2),(25)]];
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ssmon[29] = [3,1,1];
31
sseigen[29,1] = [x^2+2*x-1, [-x-1, x-1, 2]];
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33
ssbasis[31] = [x^2+1, [(2),(4),(23)]];
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ssmon[31] = [1,1,2];
35
sseigen[31,1] = [x^2-x-1, [-x+1, x, -1]];
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37
ssbasis[37] = [x^2+2, [(8),(14*x+3),(23*x+3)]];
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ssmon[37] = [1,1,1];
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sseigen[37,1] = [x+2, [0, -1, 1]];
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sseigen[37,2] = [x, [-2, 1, 1]];
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ssbasis[41] = [x^2+3, [0,(3),(28),(32)]];
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ssmon[41] = [3,1,1,1];
44
sseigen[41,1] = [x^3+x^2-5*x-1, [-x^2+3, x^2-2*x-1, 2, 2*x-4]];
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46
ssbasis[43] = [x^2+1, [(8),(41),(x+12),(42*x+12)]];
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ssmon[43] = [2,1,1,1];
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sseigen[43,1] = [x+2, [0, 0, -1, 1]];
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sseigen[43,2] = [x^2-2, [-x, x-2, 1, 1]];
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51
ssbasis[47] = [x^2+1, [0,(9),(10),(36),(44)]];
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ssmon[47] = [3,1,1,2,1];
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sseigen[47,1] = [x^4-x^3-5*x^2+5*x-1, [-x^3+x^2+2*x-1, x^3+x^2-2*x, x^2-x+1, -3*x+1, -3*x^2+4*x-1]];
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55
ssbasis[53] = [x^2+2, [0,(46),(50),(48*x+28),(5*x+28)]];
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ssmon[53] = [3,1,1,1,1];
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sseigen[53,1] = [x+1, [0, 0, 0, -1, 1]];
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sseigen[53,2] = [x^3+x^2-3*x-1, [-x^2+1, x^2-2*x-1, 2, x-1, x-1]];
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60
ssbasis[59] = [x^2+1, [0,(15),(17),(28),(47),(48)]];
61
ssmon[59] = [3,1,2,1,1,1];
62
sseigen[59,1] = [x^5-9*x^3+2*x^2+16*x-8, [-x^4+x^3+6*x^2-6*x, x^4-3*x^3-4*x^2+16*x-8, 2*x-4, x^3-3*x^2+4, x^3-x^2-6*x+4, 2*x^2-6*x+4]];
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64
ssbasis[61] = [x^2+2, [(9),(41),(50),(17*x+42),(44*x+42)]];
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ssmon[61] = [1,1,1,1,1];
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sseigen[61,1] = [x+1, [0, 0, 0, -1, 1]];
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sseigen[61,2] = [x^3-x^2-3*x+1, [-x^2+1, x^2+x, x-1, -x, -x]];
68
69
ssbasis[67] = [x^2+1, [(53),(66),(3*x+45),(64*x+45),(30*x+63),(37*x+63)]];
70
ssmon[67] = [2,1,1,1,1,1];
71
sseigen[67,1] = [x-2, [-1, -1, 0, 0, 1, 1]];
72
sseigen[67,2] = [x^2+3*x+1, [0, 0, -x-2, x+2, -1, 1]];
73
sseigen[67,3] = [x^2+x-1, [2*x, -4*x+2, x-2, x-2, 1, 1]];
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75
ssbasis[71] = [x^2+1, [0,(17),(24),(40),(41),(48),(66)]];
76
ssmon[71] = [3,1,2,1,1,1,1];
77
sseigen[71,1] = [x^3-5*x+3, [-x^2-x+2, 2*x-1, x^2+x-2, -x^2-3*x+3, x^2+1, -x-2, 2*x-1]];
78
sseigen[71,2] = [x^3+x^2-4*x-3, [-x^2+3, x^2-6, -x^2-x+3, x^2-x-3, x, x, 3]];
79
80
ssbasis[73] = [x^2+5, [(9),(56),(11*x+39),(62*x+39),(50*x+8),(23*x+8)]];
81
ssmon[73] = [1,1,1,1,1,1];
82
sseigen[73,1] = [x-1, [-1, 1, -1, -1, 1, 1]];
83
sseigen[73,2] = [x^2+3*x+1, [0, 0, -x-2, x+2, -1, 1]];
84
sseigen[73,3] = [x^2-x-3, [-2*x+4, -2, x-2, x-2, 1, 1]];
85
86
ssbasis[79] = [x^2+1, [(15),(17),(21),(64),(69),(31*x+72),(48*x+72)]];
87
ssmon[79] = [1,1,1,1,2,1,1];
88
sseigen[79,1] = [x+1, [0, 0, 0, 0, 0, -1, 1]];
89
sseigen[79,2] = [x^5-6*x^3+8*x-1, [-x^4+3*x^2-2, x^4-4*x^2+3, -x-1, -x^3+2*x^2+3*x-4, -x^3-x^2+2*x+2, x^3-2*x+1, x^3-2*x+1]];
90
91
ssbasis[83] = [x^2+1, [0,(17),(28),(50),(67),(68),(17*x+38),(66*x+38)]];
92
ssmon[83] = [3,1,1,1,1,2,1,1];
93
sseigen[83,1] = [x+1, [0, 0, 0, 0, 0, 0, -1, 1]];
94
sseigen[83,2] = [x^6-x^5-9*x^4+7*x^3+20*x^2-12*x-8, [-x^5+x^4+7*x^3-5*x^2-10*x+4, x^5-x^4-9*x^3+9*x^2+16*x-16, -2*x^3-2*x^2+6*x+4, -2*x^4+2*x^3+10*x^2-8*x-8, 2*x^3-10*x+8, 2*x^2+2*x-8, x^4-7*x^2+2*x+8, x^4-7*x^2+2*x+8]];
95
96
ssbasis[89] = [x^2+3, [0,(6),(7),(13),(52),(66),(9*x+76),(80*x+76)]];
97
ssmon[89] = [3,1,1,1,1,1,1,1];
98
sseigen[89,1] = [x+1, [0, 0, 0, 0, 0, 0, -1, 1]];
99
sseigen[89,2] = [x-1, [-1, -1, 1, 1, -1, -1, 1, 1]];
100
sseigen[89,3] = [x^5+x^4-10*x^3-10*x^2+21*x+17, [x^4+x^3-7*x^2-7*x+2, -2*x^4-2*x^3+12*x^2+16*x+6, x^4+3*x^3-7*x^2-25*x-12, -2*x^3-2*x^2+14*x+20, -3*x^3-x^2+17*x+7, 3*x^3+3*x^2-19*x-17, x^2+2*x-3, x^2+2*x-3]];
101
102
ssbasis[97] = [x^2+5, [(1),(20),(31*x+76),(66*x+76),(34*x+45),(63*x+45),(x+81),(96*x+81)]];
103
ssmon[97] = [1,1,1,1,1,1,1,1];
104
sseigen[97,1] = [x^3+4*x^2+3*x-1, [0, 0, -x^2-3*x-1, x^2+3*x+1, -x-2, x+2, -1, 1]];
105
sseigen[97,2] = [x^4-3*x^3-x^2+6*x-1, [-x^3+4*x^2-3*x-1, x^3-2*x^2-x+1, -x^2+3*x-1, -x^2+3*x-1, -x+2, -x+2, -1, -1]];
106
107
ssbasis[101] = [x^2+2, [0,(3),(21),(57),(59),(64),(66),(91*x+37),(10*x+37)]];
108
ssmon[101] = [3,1,1,1,1,1,1,1,1];
109
sseigen[101,1] = [x, [0, 0, 0, 0, 0, 0, 0, -1, 1]];
110
sseigen[101,2] = [x^7-13*x^5+2*x^4+47*x^3-16*x^2-43*x+14, [-x^6+10*x^4-2*x^3-23*x^2+14*x-2, x^6-8*x^4+4*x^3+15*x^2-16*x+4, -6*x^3-2*x^2+22*x-6, 2*x^4-6*x^3-10*x^2+26*x-8, x^5+2*x^4-4*x^3-4*x^2+7*x-2, 2*x^5-14*x^3+2*x^2+20*x-6, -3*x^5+24*x^3-2*x^2-45*x+14, -3*x^4+2*x^3+12*x^2-14*x+3, -3*x^4+2*x^3+12*x^2-14*x+3]];
111
112
ssbasis[103] = [x^2+1, [(23),(24),(34),(69),(80),(67*x+61),(36*x+61),(9*x+20),(94*x+20)]];
113
ssmon[103] = [1,1,1,1,2,1,1,1,1];
114
sseigen[103,1] = [x^2+3*x+1, [0, 0, 0, 0, 0, -x-2, x+2, -1, 1]];
115
sseigen[103,2] = [x^6-4*x^5-x^4+17*x^3-9*x^2-16*x+11, [-x^5+5*x^4-5*x^3-7*x^2+13*x-5, x^5-3*x^4-2*x^3+8*x^2-3, -x^3+4*x^2-4*x+1, -x^4+4*x^3-2*x^2-5*x+4, -x^4+4*x^3-x^2-8*x+5, -x^2+3*x-2, -x^2+3*x-2, -x+1, -x+1]];
116
117
ssbasis[107] = [x^2+1, [0,(16),(47),(72),(81),(94),(32*x+66),(75*x+66),(50*x+74),(57*x+74)]];
118
ssmon[107] = [3,2,1,1,1,1,1,1,1,1];
119
sseigen[107,1] = [x^2+x-1, [0, 0, 0, 0, 0, 0, -x-1, x+1, -1, 1]];
120
sseigen[107,2] = [x^7+x^6-10*x^5-7*x^4+29*x^3+12*x^2-20*x-8, [-x^6-x^5+7*x^4+4*x^3-14*x^2-2*x+8, x^6+2*x^5-6*x^4-9*x^3+12*x^2+8*x-4, -3*x^4-3*x^3+13*x^2+4*x-8, -3*x^5-3*x^4+15*x^3+10*x^2-12*x-8, -3*x^4+x^3+17*x^2-6*x-16, 2*x^5+4*x^4-8*x^3-16*x^2+8*x+12, 2*x^4+x^3-8*x^2-2*x+4, 2*x^4+x^3-8*x^2-2*x+4, -x^3-3*x^2+2*x+4, -x^3-3*x^2+2*x+4]];
121
122
ssbasis[109] = [x^2+2, [(17),(41),(43),(13*x+98),(96*x+98),(99*x+70),(10*x+70),(50*x+24),(59*x+24)]];
123
ssmon[109] = [1,1,1,1,1,1,1,1,1];
124
sseigen[109,1] = [x-1, [-1, -1, 0, 0, 0, 1, 1, 0, 0]];
125
sseigen[109,2] = [x^3+2*x^2-x-1, [0, 0, 0, -x^2-2*x, x^2+2*x, -x-1, x+1, -1, 1]];
126
sseigen[109,3] = [x^4+x^3-5*x^2-4*x+3, [-x^3+3*x-1, x^3-3*x-1, 2*x+2, x^2-1, x^2-1, -1, -1, -x^2-x+2, -x^2-x+2]];
127
128
ssbasis[113] = [x^2+3, [0,(54),(72),(99),(55*x+97),(58*x+97),(20*x+104),(93*x+104),(16*x+52),(97*x+52)]];
129
ssmon[113] = [3,1,1,1,1,1,1,1,1,1];
130
sseigen[113,1] = [x+1, [-1, -1, -1, 1, 1, 1, -1, -1, 1, 1]];
131
sseigen[113,2] = [x^2-2*x-2, [-1, -x+3, -x+1, -1, 1, 1, x-1, x-1, -1, -1]];
132
sseigen[113,3] = [x^3+2*x^2-x-1, [0, 0, 0, 0, -x^2-2*x, x^2+2*x, -x-1, x+1, -1, 1]];
133
sseigen[113,4] = [x^3+2*x^2-5*x-9, [-2*x-2, -2*x^2+8, 2*x^2+2*x-6, -2*x^2-2*x, x^2-2*x-6, x^2-2*x-6, x+1, x+1, 2*x+5, 2*x+5]];
134
135
ssbasis[127] = [x^2+1, [(73),(77),(95),(125),(126),(72*x+83),(55*x+83),(117*x+16),(10*x+16),(76*x+55),(51*x+55)]];
136
ssmon[127] = [1,2,1,1,1,1,1,1,1,1,1];
137
sseigen[127,1] = [x^3+3*x^2-3, [0, 0, 0, 0, 0, -x^2-3*x-2, x^2+3*x+2, -x-2, x+2, -x-1, x+1]];
138
sseigen[127,2] = [x^7-2*x^6-8*x^5+15*x^4+17*x^3-28*x^2-11*x+15, [-x^6+2*x^5+5*x^4-10*x^3-2*x^2+10*x-5, x^6-x^5-7*x^4+5*x^3+13*x^2-5*x-7, 2*x^5-3*x^4-9*x^3+10*x^2+9*x-8, 2*x^4-5*x^3-3*x^2+8*x+1, -x^5+3*x^4+5*x^3-14*x^2-6*x+13, -x^4+3*x^3-x^2-4*x+4, -x^4+3*x^3-x^2-4*x+4, -x^5+x^4+5*x^3-2*x^2-5*x+1, -x^5+x^4+5*x^3-2*x^2-5*x+1, -x^3+x^2+x-2, -x^3+x^2+x-2]];
139
140
ssbasis[131] = [x^2+1, [0,(10),(25),(28),(31),(50),(62),(82),(94),(113),(40*x+89),(91*x+89)]];
141
ssmon[131] = [3,1,2,1,1,1,1,1,1,1,1,1];
142
sseigen[131,1] = [x, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1]];
143
sseigen[131,2] = [x^10-18*x^8+2*x^7+111*x^6-18*x^5-270*x^4+28*x^3+232*x^2+16*x-32, [-x^9+15*x^7-72*x^5-4*x^4+120*x^3+24*x^2-56*x-16, x^9-13*x^7-4*x^6+52*x^5+42*x^4-76*x^3-76*x^2+16*x+16, -4*x^4+24*x^2-16, -3*x^8+2*x^7+39*x^6-22*x^5-150*x^4+52*x^3+176*x^2-32, x^7+2*x^6-7*x^5-16*x^4-2*x^3+24*x^2+32*x+16, x^8-11*x^6-2*x^5+30*x^4+28*x^3-16*x^2-48*x-32, x^7-15*x^5+2*x^4+62*x^3+4*x^2-80*x-32, -4*x^5+4*x^4+24*x^3-24*x^2-16*x+16, 2*x^8-3*x^7-24*x^6+31*x^5+82*x^4-66*x^3-100*x^2+24*x+32, -3*x^7+2*x^6+35*x^5-18*x^4-118*x^3+28*x^2+112*x+16, -2*x^6+2*x^5+16*x^4-12*x^3-32*x^2+8*x+16, -2*x^6+2*x^5+16*x^4-12*x^3-32*x^2+8*x+16]];
144
145
ssbasis[137] = [x^2+3, [0,(22),(78),(136),(104*x+73),(33*x+73),(45*x+49),(92*x+49),(127*x+19),(10*x+19),(x+122),(136*x+122)]];
146
ssmon[137] = [3,1,1,1,1,1,1,1,1,1,1,1];
147
sseigen[137,1] = [x^4+3*x^3-4*x-1, [0, 0, 0, 0, -x^3-3*x^2-2*x, x^3+3*x^2+2*x, -x^2-2*x, x^2+2*x, -x^2-2*x-1, x^2+2*x+1, -x-1, x+1]];
148
sseigen[137,2] = [x^7-10*x^5+28*x^3+3*x^2-19*x-7, [-x^6+x^5+7*x^4-5*x^3-13*x^2+4*x+5, x^6-3*x^5-5*x^4+15*x^3+7*x^2-14*x-7, 2*x^3-4*x^2-2*x+2, 4*x^2-6*x-4, x^5-3*x^4-3*x^3+11*x^2-4, x^5-3*x^4-3*x^3+11*x^2-4, x^4-2*x^3-3*x^2+4*x+2, x^4-2*x^3-3*x^2+4*x+2, x^4-2*x^3-4*x^2+6*x+5, x^4-2*x^3-4*x^2+6*x+5, x^3-x^2-x-1, x^3-x^2-x-1]];
149
150
ssbasis[139] = [x^2+1, [(8),(36),(44),(60),(65),(100),(39*x+135),(100*x+135),(36*x+123),(103*x+123),(43*x+57),(96*x+57)]];
151
ssmon[139] = [1,1,1,2,1,1,1,1,1,1,1,1];
152
sseigen[139,1] = [x-1, [-1, -1, 0, 0, -1, 1, 0, 0, 1, 1, 0, 0]];
153
sseigen[139,2] = [x^3+2*x^2-x-1, [0, 0, 0, 0, 0, 0, -x^2-2*x, x^2+2*x, -x-1, x+1, -1, 1]];
154
sseigen[139,3] = [x^7-x^6-11*x^5+8*x^4+35*x^3-10*x^2-32*x-8, [-x^6+x^5+9*x^4-8*x^3-17*x^2+8*x+4, x^6-x^5-9*x^4+6*x^3+21*x^2-6*x-4, 2*x^4-2*x^3-10*x^2+6*x+4, 2*x^3-10*x-4, -2*x^2+4*x, -2*x, x^5-x^4-7*x^3+3*x^2+12*x+4, x^5-x^4-7*x^3+3*x^2+12*x+4, -x^3+x^2+4*x, -x^3+x^2+4*x, -x^5+9*x^3-16*x-4, -x^5+9*x^3-16*x-4]];
155
156
ssbasis[149] = [x^2+2, [0,(12),(30),(62),(68),(74),(103),(135*x+85),(14*x+85),(31*x+92),(118*x+92),(94*x+140),(55*x+140)]];
157
ssmon[149] = [3,1,1,1,1,1,1,1,1,1,1,1,1];
158
sseigen[149,1] = [x^3+x^2-2*x-1, [0, 0, 0, 0, 0, 0, 0, -x^2-x, x^2+x, -x, x, -x-1, x+1]];
159
sseigen[149,2] = [x^9+x^8-15*x^7-12*x^6+75*x^5+48*x^4-137*x^3-76*x^2+68*x+39, [-x^8-x^7+12*x^6+11*x^5-43*x^4-39*x^3+38*x^2+45*x+10, x^8+x^7-12*x^6-15*x^5+43*x^4+67*x^3-36*x^2-81*x-28, 2*x^5+4*x^4-12*x^3-26*x^2+14*x+18, -3*x^7-x^6+32*x^5+9*x^4-99*x^3-31*x^2+78*x+39, 2*x^6+2*x^5-14*x^4-18*x^3+18*x^2+36*x+14, x^7+x^6-8*x^5-11*x^4+15*x^3+31*x^2-9, 2*x^5-2*x^4-20*x^3+8*x^2+46*x+22, x^6-2*x^5-9*x^4+14*x^3+19*x^2-12*x-11, x^6-2*x^5-9*x^4+14*x^3+19*x^2-12*x-11, x^5+x^4-4*x^3-2*x^2-9*x-7, x^5+x^4-4*x^3-2*x^2-9*x-7, x^7-2*x^6-12*x^5+15*x^4+43*x^3-18*x^2-48*x-15, x^7-2*x^6-12*x^5+15*x^4+43*x^3-18*x^2-48*x-15]];
160
161
ssbasis[151] = [x^2+1, [(29),(67),(101),(124),(143),(148),(150),(88*x+133),(63*x+133),(41*x+149),(110*x+149),(127*x+41),(24*x+41)]];
162
ssmon[151] = [1,2,1,1,1,1,1,1,1,1,1,1,1];
163
sseigen[151,1] = [x^3+2*x^2-x-1, [0, 0, 0, 0, 0, 0, 0, -x^2-2*x, x^2+2*x, 1, -1, -x-1, x+1]];
164
sseigen[151,2] = [x^3-5*x+3, [-1, 1, -x, -x+1, x-1, -x^2-x+2, x^2-2, x-1, x-1, 0, 0, 1, 1]];
165
sseigen[151,3] = [x^6-x^5-7*x^4+3*x^3+13*x^2+3*x-1, [1/3*x^5-4/3*x^4-1/3*x^3+3*x^2+8/3*x+2/3, -1/3*x^5+2/3*x^3+x^2+7/3*x+1, -x^5+4/3*x^4+4*x^3-5/3*x^2-5*x-5/3, x^5-x^4-5*x^3+4/3*x^2+17/3*x+2, -5/3*x^4+4/3*x^3+17/3*x^2-1/3*x-4/3, 1/3*x^3-2/3*x^2-x-1/3, 1/3*x^3-2/3*x^2-x-1/3, x^4-x^3-10/3*x^2+2/3, x^4-x^3-10/3*x^2+2/3, 1/3*x^4-x^3+7/3*x+1, 1/3*x^4-x^3+7/3*x+1, 4/3*x^3-2/3*x^2-4*x-5/3, 4/3*x^3-2/3*x^2-4*x-5/3]];
166
167
ssbasis[157] = [x^2+2, [(79),(134),(150),(36*x+43),(121*x+43),(67*x+75),(90*x+75),(15*x+22),(142*x+22),(32*x+143),(125*x+143),(123*x+55),(34*x+55)]];
168
ssmon[157] = [1,1,1,1,1,1,1,1,1,1,1,1,1];
169
sseigen[157,1] = [x^5+5*x^4+5*x^3-6*x^2-7*x+1, [0, 0, 0, -x^4-5*x^3-7*x^2-x+2, x^4+5*x^3+7*x^2+x-2, -x^3-4*x^2-4*x, x^3+4*x^2+4*x, -x^3-3*x^2-x+1, x^3+3*x^2+x-1, -x^2-3*x-2, x^2+3*x+2, -x-2, x+2]];
170
sseigen[157,2] = [x^7-5*x^6+2*x^5+21*x^4-22*x^3-21*x^2+27*x-1, [-x^6+4*x^5-13*x^3+7*x^2+8*x-3, x^6-6*x^5+8*x^4+11*x^3-27*x^2+8*x+5, 2*x-4, x^2-3*x+2, x^2-3*x+2, x^3-3*x^2-x+5, x^3-3*x^2-x+5, x-1, x-1, x^4-4*x^3+x^2+9*x-7, x^4-4*x^3+x^2+9*x-7, x^5-5*x^4+4*x^3+11*x^2-15*x+2, x^5-5*x^4+4*x^3+11*x^2-15*x+2]];
171
172
ssbasis[163] = [x^2+1, [(98),(127),(74*x+151),(89*x+151),(122*x+128),(41*x+128),(134*x+22),(29*x+22),(107*x+87),(56*x+87),(127*x+19),(36*x+19),(45*x+127),(118*x+127)]];
173
ssmon[163] = [2,1,1,1,1,1,1,1,1,1,1,1,1,1];
174
sseigen[163,1] = [x, [0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1]];
175
sseigen[163,2] = [x^5+5*x^4+3*x^3-15*x^2-16*x+3, [0, 0, -x^3-5*x^2-7*x-2, x^3+5*x^2+7*x+2, -x^4-5*x^3-6*x^2+3*x+6, x^4+5*x^3+6*x^2-3*x-6, -x^2-5*x-6, x^2+5*x+6, -x^3-3*x^2+3, x^3+3*x^2-3, -x^3-4*x^2-3*x+2, x^3+4*x^2+3*x-2, -x^2-4*x-4, x^2+4*x+4]];
176
sseigen[163,3] = [x^7-3*x^6-5*x^5+19*x^4-23*x^2+4*x+6, [-x^6+3*x^5+3*x^4-13*x^3+2*x^2+9*x-2, x^6-5*x^5+3*x^4+15*x^3-16*x^2-7*x+8, x^5-5*x^4+5*x^3+6*x^2-7*x-1, x^5-5*x^4+5*x^3+6*x^2-7*x-1, x^4-5*x^3+7*x^2-4, x^4-5*x^3+7*x^2-4, x^4-4*x^3+2*x^2+6*x-4, x^4-4*x^3+2*x^2+6*x-4, x^3-3*x^2+x+2, x^3-3*x^2+x+2, x^3-3*x^2+2*x-1, x^3-3*x^2+2*x-1, x^3-2*x^2-3*x+5, x^3-2*x^2-3*x+5]];
177
178
ssbasis[167] = [x^2+1, [0,(15),(27),(30),(58),(59),(89),(112),(131),(132),(151),(22*x+88),(145*x+88),(27*x+79),(140*x+79)]];
179
ssmon[167] = [3,1,1,1,2,1,1,1,1,1,1,1,1,1,1];
180
sseigen[167,1] = [x^2+x-1, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -x-1, x+1, -1, 1]];
181
sseigen[167,2] = [x^12-2*x^11-17*x^10+33*x^9+103*x^8-189*x^7-277*x^6+447*x^5+363*x^4-433*x^3-205*x^2+120*x+9, [-x^11+2*x^10+14*x^9-26*x^8-69*x^7+112*x^6+153*x^5-195*x^4-155*x^3+133*x^2+51*x-30, x^11-2*x^10-14*x^9+25*x^8+71*x^7-102*x^6-175*x^5+174*x^4+204*x^3-115*x^2-83*x+24, x^9-x^8-10*x^7+8*x^6+27*x^5-5*x^4-35*x^3-10*x^2+17*x, x^10-2*x^9-12*x^8+21*x^7+49*x^6-56*x^5-111*x^4+40*x^3+132*x^2+13*x-51, -3*x^8+4*x^7+31*x^6-35*x^5-92*x^4+70*x^3+101*x^2-31*x-24, -3*x^10+7*x^9+34*x^8-77*x^7-124*x^6+252*x^5+208*x^4-300*x^3-154*x^2+90*x+9, -3*x^9+7*x^8+27*x^7-66*x^6-57*x^5+162*x^4+31*x^3-132*x^2+7*x+24, x^10-5*x^9-6*x^8+56*x^7-18*x^6-194*x^5+123*x^4+280*x^3-177*x^2-151*x+66, -x^8+3*x^7+5*x^6-20*x^5+7*x^4+28*x^3-41*x^2-4*x+39, x^9-3*x^8-12*x^7+32*x^6+46*x^5-102*x^4-81*x^3+118*x^2+59*x-33, x^10-x^9-14*x^8+10*x^7+71*x^6-23*x^5-171*x^4-2*x^3+167*x^2+42*x-24, x^9-2*x^8-11*x^7+23*x^6+32*x^5-67*x^4-36*x^3+64*x^2+16*x-12, x^9-2*x^8-11*x^7+23*x^6+32*x^5-67*x^4-36*x^3+64*x^2+16*x-12, 2*x^8-x^7-22*x^6+9*x^5+68*x^4-4*x^3-75*x^2-21*x+12, 2*x^8-x^7-22*x^6+9*x^5+68*x^4-4*x^3-75*x^2-21*x+12]];
182
183
ssbasis[173] = [x^2+2, [0,(17),(24),(42),(85),(102),(159),(129*x+97),(44*x+97),(9*x+31),(164*x+31),(10*x+119),(163*x+119),(21*x+114),(152*x+114)]];
184
ssmon[173] = [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
185
sseigen[173,1] = [x^4+x^3-3*x^2-x+1, [0, 0, 0, 0, 0, 0, 0, -x^3-x^2+x, x^3+x^2-x, -x^2, x^2, -x^2-x+1, x^2+x-1, -x, x]];
186
sseigen[173,2] = [x^10-x^9-16*x^8+16*x^7+85*x^6-80*x^5-175*x^4+136*x^3+138*x^2-71*x-25, [-x^9+x^8+13*x^7-13*x^6-52*x^5+47*x^4+73*x^3-53*x^2-29*x+18, x^9-x^8-13*x^7+15*x^6+54*x^5-63*x^4-95*x^3+107*x^2+61*x-62, -3*x^8+3*x^7+33*x^6-33*x^5-102*x^4+83*x^3+109*x^2-53*x-25, 2*x^6-20*x^4+4*x^3+38*x^2-16, x^8+x^7-11*x^6-7*x^5+40*x^4+17*x^3-61*x^2-15*x+31, -4*x^6+4*x^5+30*x^4-30*x^3-40*x^2+30*x+6, 2*x^7-2*x^6-24*x^5+28*x^4+70*x^3-76*x^2-56*x+54, x^7-x^6-10*x^5+12*x^4+17*x^3-19*x^2-8*x+8, x^7-x^6-10*x^5+12*x^4+17*x^3-19*x^2-8*x+8, -2*x^6+17*x^4-38*x^2-4*x+19, -2*x^6+17*x^4-38*x^2-4*x+19, x^8-x^7-10*x^6+12*x^5+20*x^4-23*x^3-8*x^2+12*x-3, x^8-x^7-10*x^6+12*x^5+20*x^4-23*x^3-8*x^2+12*x-3, -3*x^7+3*x^6+27*x^5-29*x^4-55*x^3+53*x^2+31*x-27, -3*x^7+3*x^6+27*x^5-29*x^4-55*x^3+53*x^2+31*x-27]];
187
188
ssbasis[179] = [x^2+1, [0,(22),(35),(61),(112),(117),(120),(121),(140),(171),(80*x+107),(99*x+107),(174*x+109),(5*x+109),(115*x+5),(64*x+5)]];
189
ssmon[179] = [3,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1];
190
sseigen[179,1] = [x-2, [0, -1, -1, 1, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1]];
191
sseigen[179,2] = [x^3+x^2-2*x-1, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -x^2-x, x^2+x, -x, x, -x-1, x+1]];
192
sseigen[179,3] = [x^11+3*x^10-14*x^9-45*x^8+59*x^7+225*x^6-58*x^5-427*x^4-76*x^3+240*x^2+56*x-16, [2*x^7+6*x^6-10*x^5-34*x^4+8*x^3+42*x^2-8, -x^10-3*x^9+10*x^8+31*x^7-31*x^6-99*x^5+38*x^4+115*x^3-20*x^2-40*x, x^10+3*x^9-9*x^8-30*x^7+20*x^6+89*x^5-2*x^4-76*x^3-6*x^2+8*x, 2*x^6+8*x^5-28*x^3-24*x^2+12*x+16, 2*x^9+6*x^8-16*x^7-54*x^6+30*x^5+144*x^4+4*x^3-110*x^2-12*x+8, -x^9-4*x^8+6*x^7+37*x^6+6*x^5-93*x^4-55*x^3+60*x^2+40*x, x^9+3*x^8-7*x^7-28*x^6-4*x^5+63*x^4+62*x^3-12*x^2-32*x, 2*x^8+6*x^7-10*x^6-34*x^5+8*x^4+42*x^3-8*x, x^8+x^7-11*x^6-10*x^5+30*x^4+27*x^3-4*x^2-8, x^8+x^7-13*x^6-16*x^5+34*x^4+37*x^3-22*x^2-8*x+8, -x^9-3*x^8+8*x^7+26*x^6-16*x^5-63*x^4+7*x^3+40*x^2-12*x-8, -x^9-3*x^8+8*x^7+26*x^6-16*x^5-63*x^4+7*x^3+40*x^2-12*x-8, -x^8-3*x^7+6*x^6+19*x^5-13*x^4-42*x^3+2*x^2+20*x, -x^8-3*x^7+6*x^6+19*x^5-13*x^4-42*x^3+2*x^2+20*x, -x^8-2*x^7+9*x^6+17*x^5-18*x^4-33*x^3+6*x^2+12*x, -x^8-2*x^7+9*x^6+17*x^5-18*x^4-33*x^3+6*x^2+12*x]];
193
194
ssbasis[181] = [x^2+2, [(36),(64),(146),(173),(175),(126*x+3),(55*x+3),(140*x+107),(41*x+107),(101*x+36),(80*x+36),(161*x+16),(20*x+16),(130*x+54),(51*x+54)]];
195
ssmon[181] = [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
196
sseigen[181,1] = [x^5+3*x^4-x^3-7*x^2-2*x+1, [0, 0, 0, 0, 0, -x^4-3*x^3-x^2+2*x, x^4+3*x^3+x^2-2*x, -x^3-3*x^2-2*x, x^3+3*x^2+2*x, -x^3-2*x^2+1, x^3+2*x^2-1, -x^2-2*x, x^2+2*x, -x^2-x+1, x^2+x-1]];
197
sseigen[181,2] = [x^9-3*x^8-9*x^7+29*x^6+23*x^5-84*x^4-23*x^3+89*x^2+8*x-27, [-x^8+2*x^7+9*x^6-16*x^5-25*x^4+35*x^3+30*x^2-23*x-15, x^8-x^7-10*x^6+8*x^5+31*x^4-16*x^3-36*x^2+9*x+12, x^7-x^6-8*x^5+6*x^4+19*x^3-8*x^2-14*x+3, -2*x^5+6*x^4+4*x^3-18*x^2-2*x+12, -4*x^4+6*x^3+10*x^2-10*x-6, -x^7+2*x^6+7*x^5-12*x^4-14*x^3+18*x^2+8*x-6, -x^7+2*x^6+7*x^5-12*x^4-14*x^3+18*x^2+8*x-6, -x^6+3*x^5+4*x^4-12*x^3-6*x^2+11*x+3, -x^6+3*x^5+4*x^4-12*x^3-6*x^2+11*x+3, -x^6+x^5+7*x^4-5*x^3-16*x^2+6*x+12, -x^6+x^5+7*x^4-5*x^3-16*x^2+6*x+12, x^6-x^5-6*x^4+4*x^3+11*x^2-3*x-6, x^6-x^5-6*x^4+4*x^3+11*x^2-3*x-6, -x^5+3*x^3+4*x^2-2*x-6, -x^5+3*x^3+4*x^2-2*x-6]];
198
199
ssbasis[191] = [x^2+1, [0,(9),(16),(41),(46),(55),(66),(106),(107),(138),(150),(169),(176),(120*x+126),(71*x+126),(87*x+23),(104*x+23)]];
200
ssmon[191] = [3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
201
sseigen[191,1] = [x^2+x-1, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -x-1, x+1, -1, 1]];
202
sseigen[191,2] = [x^14-23*x^12+x^11+205*x^10-13*x^9-895*x^8+35*x^7+1993*x^6+103*x^5-2135*x^4-465*x^3+853*x^2+374*x+41, [-x^13+20*x^11+x^10-149*x^9-18*x^8+513*x^7+123*x^6-813*x^5-347*x^4+467*x^3+322*x^2+39*x-2, x^13+x^12-20*x^11-20*x^10+149*x^9+151*x^8-505*x^7-539*x^6+731*x^5+911*x^4-225*x^3-575*x^2-220*x-25, 4*x^10-2*x^9-55*x^8+22*x^7+252*x^6-58*x^5-452*x^4-18*x^3+275*x^2+94*x+8, 2*x^12-x^11-36*x^10+15*x^9+239*x^8-69*x^7-723*x^6+77*x^5+999*x^4+115*x^3-498*x^2-179*x-16, -3*x^10+2*x^9+44*x^8-23*x^7-226*x^6+70*x^5+492*x^4-19*x^3-378*x^2-128*x-11, x^9-6*x^7-8*x^6-14*x^5+60*x^4+85*x^3-64*x^2-96*x-18, -3*x^9+2*x^8+36*x^7-29*x^6-128*x^5+107*x^4+128*x^3-62*x^2-37*x-4, -3*x^10+2*x^9+48*x^8-25*x^7-260*x^6+73*x^5+552*x^4+66*x^3-411*x^2-222*x-30, -3*x^11+2*x^10+50*x^9-27*x^8-290*x^7+110*x^6+694*x^5-101*x^4-624*x^3-96*x^2+103*x+22, -3*x^12+2*x^11+56*x^10-31*x^9-382*x^8+158*x^7+1180*x^6-244*x^5-1668*x^4-143*x^3+892*x^2+372*x+41, 2*x^11-x^10-28*x^9+11*x^8+129*x^7-25*x^6-219*x^5-39*x^4+95*x^3+79*x^2+52*x+9, x^8-5*x^7-6*x^6+45*x^5-15*x^4-112*x^3+40*x^2+110*x+22, -6*x^8+5*x^7+59*x^6-46*x^5-157*x^4+67*x^3+134*x^2+8*x-4, -3*x^9+2*x^8+32*x^7-20*x^6-101*x^5+41*x^4+123*x^3-16*x^2-57*x-11, -3*x^9+2*x^8+32*x^7-20*x^6-101*x^5+41*x^4+123*x^3-16*x^2-57*x-11, -6*x^8-2*x^7+66*x^6+17*x^5-212*x^4-64*x^3+187*x^2+109*x+15, -6*x^8-2*x^7+66*x^6+17*x^5-212*x^4-64*x^3+187*x^2+109*x+15]];
203
204
ssbasis[193] = [x^2+5, [(42),(169),(104*x+80),(89*x+80),(16*x+119),(177*x+119),(60*x+137),(133*x+137),(22*x+114),(171*x+114),(66*x+118),(127*x+118),(137*x+17),(56*x+17),(138*x+148),(55*x+148)]];
205
ssmon[193] = [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
206
sseigen[193,1] = [x^2+3*x+1, [0, 0, -x-1, x+1, x, -x, x+1, -x-1, 0, 0, 1, -1, -x-1, x+1, 1, -1]];
207
sseigen[193,2] = [x^5+2*x^4-5*x^3-7*x^2+7*x+1, [0, 0, -x^4-3*x^3+x^2+6*x, x^4+3*x^3-x^2-6*x, -x^3-x^2+3*x, x^3+x^2-3*x, -x^4-3*x^3+4*x+1, x^4+3*x^3-4*x-1, x^2+3*x+1, -x^2-3*x-1, -x^3-2*x^2+x, x^3+2*x^2-x, -x^3-2*x^2+x+1, x^3+2*x^2-x-1, x^2+2*x, -x^2-2*x]];
208
sseigen[193,3] = [x^8-2*x^7-9*x^6+18*x^5+21*x^4-44*x^3-11*x^2+27*x+1, [-x^7+3*x^6+4*x^5-16*x^4-x^3+23*x^2-8*x-3, x^7-3*x^6-4*x^5+16*x^4+x^3-23*x^2+4*x+9, -x^6+3*x^5+2*x^4-11*x^3+2*x^2+10*x-4, -x^6+3*x^5+2*x^4-11*x^3+2*x^2+10*x-4, -x^5+x^4+4*x^3-3*x^2-4*x+2, -x^5+x^4+4*x^3-3*x^2-4*x+2, -x^5+4*x^4-x^3-10*x^2+8*x+1, -x^5+4*x^4-x^3-10*x^2+8*x+1, x^6-3*x^5-2*x^4+11*x^3-4*x^2-5*x+1, x^6-3*x^5-2*x^4+11*x^3-4*x^2-5*x+1, x^5-3*x^4-x^3+9*x^2-5*x-2, x^5-3*x^4-x^3+9*x^2-5*x-2, 2*x^3-3*x^2-4*x+6, 2*x^3-3*x^2-4*x+6, x^5-2*x^4-4*x^3+9*x^2+2*x-7, x^5-2*x^4-4*x^3+9*x^2+2*x-7]];
209
210
ssbasis[197] = [x^2+2, [0,(22),(72),(120),(131),(191*x+42),(6*x+42),(25*x+24),(172*x+24),(125*x+188),(72*x+188),(82*x+59),(115*x+59),(163*x+113),(34*x+113),(122*x+61),(75*x+61)]];
211
ssmon[197] = [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
212
sseigen[197,1] = [x+2, [0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1]];
213
sseigen[197,2] = [x^5-5*x^3+x^2+3*x-1, [0, 0, 0, 0, 0, -x^4+3*x^2-1, x^4-3*x^2+1, -x^3+x^2+x-1, x^3-x^2-x+1, -x^3+x, x^3-x, -x^2, x^2, -x^2+x, x^2-x, -x^2-x+1, x^2+x-1]];
214
sseigen[197,3] = [x^10-15*x^8+x^7+78*x^6-7*x^5-165*x^4+15*x^3+123*x^2-9*x-26, [-x^9+x^8+12*x^7-11*x^6-47*x^5+36*x^4+67*x^3-36*x^2-25*x+8, x^9-3*x^8-10*x^7+31*x^6+29*x^5-98*x^4-21*x^3+98*x^2-x-26, 4*x^5-10*x^4-14*x^3+40*x^2-2*x-14, 2*x^5-2*x^4-12*x^3+10*x^2+14*x-8, 2*x^6-6*x^5-6*x^4+26*x^3-6*x^2-16*x+10, x^6-2*x^5-5*x^4+11*x^3+2*x^2-11*x+4, x^6-2*x^5-5*x^4+11*x^3+2*x^2-11*x+4, x^6-x^5-8*x^4+5*x^3+20*x^2-6*x-11, x^6-x^5-8*x^4+5*x^3+20*x^2-6*x-11, x^7-3*x^6-6*x^5+21*x^4+9*x^3-41*x^2-4*x+19, x^7-3*x^6-6*x^5+21*x^4+9*x^3-41*x^2-4*x+19, x^7-3*x^6-5*x^5+18*x^4+4*x^3-28*x^2+6*x+7, x^7-3*x^6-5*x^5+18*x^4+4*x^3-28*x^2+6*x+7, x^6-2*x^5-4*x^4+7*x^3+2*x^2+x-5, x^6-2*x^5-4*x^4+7*x^3+2*x^2+x-5, x^8-3*x^7-8*x^6+25*x^5+18*x^4-59*x^3-8*x^2+29*x+1, x^8-3*x^7-8*x^6+25*x^5+18*x^4-59*x^3-8*x^2+29*x+1]];
215
216
ssbasis[199] = [x^2+1, [(8),(40),(61),(64),(90),(98),(136),(140),(147),(5*x+177),(194*x+177),(106*x+50),(93*x+50),(127*x+191),(72*x+191),(53*x+189),(146*x+189)]];
217
ssmon[199] = [1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1];
218
sseigen[199,1] = [x^2+x-1, [0, x+1, -x-1, -x, -x, 0, 1, x-1, -x, 0, 0, x, x, 1, 1, -1, -1]];
219
sseigen[199,2] = [x^4+3*x^3-4*x-1, [0, 0, 0, 0, 0, 0, 0, 0, 0, -x^3-2*x^2+x+1, x^3+2*x^2-x-1, -x^2-2*x, x^2+2*x, -x-1, x+1, -1, 1]];
220
sseigen[199,3] = [x^10-5*x^9-4*x^8+51*x^7-32*x^6-154*x^5+151*x^4+168*x^3-168*x^2-54*x+27, [-2*x^9+6*x^8+20*x^7-65*x^6-55*x^5+208*x^4+50*x^3-221*x^2-18*x+36, x^9-4*x^8-7*x^7+37*x^6+11*x^5-102*x^4-16*x^3+103*x^2+27*x-18, x^9-5*x^8-2*x^7+38*x^6-20*x^5-91*x^4+54*x^3+82*x^2-27*x-18, x^8-4*x^7-5*x^6+31*x^5-x^4-64*x^3+4*x^2+45*x+9, x^8-5*x^7+28*x^5-12*x^4-63*x^3+16*x^2+54*x+9, -3*x^7+11*x^6+10*x^5-64*x^4+15*x^3+88*x^2-36*x-18, x^7-4*x^6-3*x^5+22*x^4+x^3-37*x^2+18, x^8-5*x^7+x^6+25*x^5-21*x^4-38*x^3+37*x^2+18*x-18, x^7-5*x^6+5*x^5+9*x^4-19*x^3+10*x^2+9*x-18, 2*x^6-8*x^5+x^4+24*x^3-14*x^2-18*x+9, 2*x^6-8*x^5+x^4+24*x^3-14*x^2-18*x+9, x^7-5*x^6+4*x^5+14*x^4-19*x^3-14*x^2+18*x+9, x^7-5*x^6+4*x^5+14*x^4-19*x^3-14*x^2+18*x+9, 2*x^6-6*x^5-8*x^4+25*x^3+16*x^2-27*x-18, 2*x^6-6*x^5-8*x^4+25*x^3+16*x^2-27*x-18, x^7-3*x^6-6*x^5+19*x^4+10*x^3-29*x^2-9*x+9, x^7-3*x^6-6*x^5+19*x^4+10*x^3-29*x^2-9*x+9]];
221
222
ssbasis[211] = [x^2+1, [(28),(40),(82),(114),(148),(198),(45*x+130),(166*x+130),(22*x+119),(189*x+119),(49*x+45),(162*x+45),(47*x+118),(164*x+118),(100*x+183),(111*x+183),(3*x+135),(208*x+135)]];
223
ssmon[211] = [1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
224
sseigen[211,1] = [x^2-x-1, [-2*x+2, -2*x+4, -2*x+2, 4*x-6, -2*x+2, 4*x-6, x-2, x-2, -3*x+5, -3*x+5, x-2, x-2, 1, 1, x-2, x-2, 1, 1]];
225
sseigen[211,2] = [x^3-4*x+1, [0, 0, 0, 0, 0, 0, -1, 1, -x, x, -1, 1, -x^2+2, x^2-2, -1, 1, -x+1, x-1]];
226
sseigen[211,3] = [x^3+2*x^2-x-1, [0, 0, 0, 0, 0, 0, x^2+2*x-1, -x^2-2*x+1, 1, -1, -x^2-x+1, x^2+x-1, 0, 0, -x-1, x+1, -1, 1]];
227
sseigen[211,4] = [x^9+x^8-14*x^7-11*x^6+66*x^5+36*x^4-123*x^3-38*x^2+72*x+8, [-x^8+12*x^6-x^5-45*x^4+11*x^3+54*x^2-24*x, 2*x^5+2*x^4-12*x^3-8*x^2+18*x+4, x^8-12*x^6+x^5+47*x^4-9*x^3-62*x^2+18*x+8, 2*x^6-14*x^4+4*x^3+26*x^2-14*x-4, -x^7+10*x^5-x^4-29*x^3+5*x^2+22*x-4, -x^7+10*x^5+x^4-31*x^3-5*x^2+32*x+4, x^7-9*x^5+25*x^3+x^2-20*x-4, x^7-9*x^5+25*x^3+x^2-20*x-4, x^6-x^5-8*x^4+6*x^3+16*x^2-8*x-4, x^6-x^5-8*x^4+6*x^3+16*x^2-8*x-4, -x^4-x^3+2*x^2+2*x+4, -x^4-x^3+2*x^2+2*x+4, -x^6+x^5+7*x^4-8*x^3-11*x^2+14*x, -x^6+x^5+7*x^4-8*x^3-11*x^2+14*x, -x^6+8*x^4-3*x^3-16*x^2+10*x, -x^6+8*x^4-3*x^3-16*x^2+10*x, -2*x^5-x^4+14*x^3+3*x^2-24*x, -2*x^5-x^4+14*x^3+3*x^2-24*x]];
228
229
ssbasis[223] = [x^2+1, [(49),(128),(167),(193),(195),(210),(221),(67*x+68),(156*x+68),(45*x+124),(178*x+124),(132*x+43),(91*x+43),(151*x+13),(72*x+13),(178*x+217),(45*x+217),(114*x+136),(109*x+136)]];
230
ssmon[223] = [1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
231
sseigen[223,1] = [x^2+2*x-1, [0, 0, 0, 0, 0, 0, 0, -x-1, x+1, 0, 0, x-1, -x+1, x+1, -x-1, -x-1, x+1, 2, -2]];
232
sseigen[223,2] = [x^4+4*x^3+2*x^2-5*x-3, [0, 0, 0, 0, 0, 0, 0, -x^2-3*x-2, x^2+3*x+2, -x^3-3*x^2-x+1, x^3+3*x^2+x-1, -x-1, x+1, -x^2-2*x, x^2+2*x, 1, -1, -x-1, x+1]];
233
sseigen[223,3] = [x^12-7*x^11+6*x^10+57*x^9-122*x^8-105*x^7+430*x^6-73*x^5-499*x^4+242*x^3+143*x^2-52*x-19, [-x^11+8*x^10-17*x^9-19*x^8+107*x^7-64*x^6-163*x^5+197*x^4+37*x^3-111*x^2+11*x+15, x^11-8*x^10+16*x^9+24*x^8-105*x^7+24*x^6+192*x^5-108*x^4-126*x^3+65*x^2+24*x-3, -x^10+7*x^9-10*x^8-29*x^7+78*x^6+14*x^5-149*x^4+48*x^3+85*x^2-26*x-15, -x^9+6*x^8-7*x^7-20*x^6+47*x^5-2*x^4-60*x^3+41*x^2+x-7, -x^9+7*x^8-13*x^7-12*x^6+60*x^5-34*x^4-58*x^3+61*x^2+2*x-8, -x^10+8*x^9-19*x^8-6*x^7+87*x^6-96*x^5-56*x^4+161*x^3-81*x^2-9*x+14, -x^8+7*x^7-15*x^6+2*x^5+32*x^4-42*x^3+22*x^2-x-6, x^10-8*x^9+18*x^8+11*x^7-87*x^6+64*x^5+88*x^4-107*x^3-4*x^2+19*x+2, x^10-8*x^9+18*x^8+11*x^7-87*x^6+64*x^5+88*x^4-107*x^3-4*x^2+19*x+2, x^9-7*x^8+12*x^7+17*x^6-63*x^5+19*x^4+70*x^3-43*x^2-12*x+4, x^9-7*x^8+12*x^7+17*x^6-63*x^5+19*x^4+70*x^3-43*x^2-12*x+4, x^9-6*x^8+6*x^7+23*x^6-41*x^5-18*x^4+52*x^3-3*x^2-10*x-1, x^9-6*x^8+6*x^7+23*x^6-41*x^5-18*x^4+52*x^3-3*x^2-10*x-1, x^8-6*x^7+7*x^6+18*x^5-37*x^4-6*x^3+35*x^2-3*x-6, x^8-6*x^7+7*x^6+18*x^5-37*x^4-6*x^3+35*x^2-3*x-6, -x^7+7*x^6-14*x^5-4*x^4+40*x^3-31*x^2-4*x+4, -x^7+7*x^6-14*x^5-4*x^4+40*x^3-31*x^2-4*x+4, x^7-6*x^6+8*x^5+12*x^4-29*x^3+5*x^2+9*x+2, x^7-6*x^6+8*x^5+12*x^4-29*x^3+5*x^2+9*x+2]];
234
235
ssbasis[227] = [x^2+1, [0,(30),(110),(114),(132),(139),(147),(160),(191),(201),(149*x+2),(78*x+2),(209*x+176),(18*x+176),(96*x+77),(131*x+77),(78*x+73),(149*x+73),(102*x+143),(125*x+143)]];
236
ssmon[227] = [3,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
237
sseigen[227,1] = [x^2-2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -x-1, x+1, -x-2, x+2, -x-1, x+1, -x-1, x+1, -1, 1]];
238
sseigen[227,2] = [x^2-5, [-2, -x-3, -2, 0, -2, 0, x-1, -x+1, x-1, -2*x, 0, 0, 2, 2, x+1, x+1, 2, 2, 0, 0]];
239
sseigen[227,3] = [x^2+x-7, [-1, x+1, 3, 0, -1, -2, -x-3, -x-1, -x+1, -1, 2, 2, -1, -1, x, x, 1, 1, 0, 0]];
240
sseigen[227,4] = [x^3+2*x^2-x-1, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, x^2+2*x-1, -x^2-2*x+1, 1, -1, -x^2-x+1, x^2+x-1, -x-1, x+1, -1, 1]];
241
sseigen[227,5] = [x^10-17*x^8-3*x^7+98*x^6+40*x^5-218*x^4-148*x^3+136*x^2+144*x+32, [-1/3*x^9+17/3*x^7+x^6-32*x^5-34/3*x^4+190/3*x^3+104/3*x^2-80/3*x-16, 2/3*x^4+10/3*x^3-4/3*x^2-32/3*x-16/3, -4/3*x^7+14*x^5+10/3*x^4-42*x^3-20*x^2+104/3*x+64/3, -2/3*x^9+26/3*x^7+2/3*x^6-36*x^5-8*x^4+58*x^3+68/3*x^2-88/3*x-16, x^9-15*x^7-x^6+218/3*x^5+16*x^4-388/3*x^3-52*x^2+56*x+80/3, -2/3*x^8-2/3*x^7+8*x^6+26/3*x^5-82/3*x^4-106/3*x^3+68/3*x^2+136/3*x+16, -4/3*x^6+12*x^4+6*x^3-24*x^2-24*x-16/3, 2/3*x^5+2*x^4-8*x^3-8*x^2+16*x+32/3, 2*x^6+2*x^5-62/3*x^4-52/3*x^3+124/3*x^2+136/3*x+32/3, 2/3*x^6+2*x^5-28/3*x^4-44/3*x^3+56/3*x^2+32*x+32/3, -2/3*x^8+20/3*x^6+2/3*x^5-49/3*x^4-8/3*x^3+8*x^2-16/3*x-16/3, -2/3*x^8+20/3*x^6+2/3*x^5-49/3*x^4-8/3*x^3+8*x^2-16/3*x-16/3, -2/3*x^7+17/3*x^5+2*x^4-8*x^3-8*x^2-32/3*x-16/3, -2/3*x^7+17/3*x^5+2*x^4-8*x^3-8*x^2-32/3*x-16/3, 1/3*x^6+4/3*x^5-11/3*x^4-34/3*x^3+16/3*x^2+24*x+32/3, 1/3*x^6+4/3*x^5-11/3*x^4-34/3*x^3+16/3*x^2+24*x+32/3, x^7+x^6-32/3*x^5-29/3*x^4+74/3*x^3+80/3*x^2-8/3*x-16/3, x^7+x^6-32/3*x^5-29/3*x^4+74/3*x^3+80/3*x^2-8/3*x-16/3, x^8+x^7-13*x^6-13*x^5+49*x^4+166/3*x^3-148/3*x^2-224/3*x-64/3, x^8+x^7-13*x^6-13*x^5+49*x^4+166/3*x^3-148/3*x^2-224/3*x-64/3]];
242
243
ssbasis[229] = [x^2+2, [(27),(60),(93),(172),(214),(19*x+222),(210*x+222),(32*x+89),(197*x+89),(55*x+148),(174*x+148),(199*x+83),(30*x+83),(217*x+213),(12*x+213),(215*x+87),(14*x+87),(167*x+219),(62*x+219)]];
244
ssmon[229] = [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
245
sseigen[229,1] = [x+1, [0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 0, 0, -1, 1, -1, 1, 0, 0]];
246
sseigen[229,2] = [x^6+4*x^5-12*x^3-3*x^2+9*x-1, [0, 0, 0, 0, 0, -x^5-4*x^4-2*x^3+6*x^2+4*x-1, x^5+4*x^4+2*x^3-6*x^2-4*x+1, -x^4-3*x^3+x^2+5*x-1, x^4+3*x^3-x^2-5*x+1, -x^4-3*x^3+3*x, x^4+3*x^3-3*x, -x^3-3*x^2-x+1, x^3+3*x^2+x-1, -x^2-2*x, x^2+2*x, 1, -1, -x-1, x+1]];
247
sseigen[229,3] = [x^11-5*x^10-4*x^9+50*x^8-26*x^7-165*x^6+152*x^5+193*x^4-207*x^3-50*x^2+52*x+1, [-x^10+5*x^9+x^8-37*x^7+33*x^6+76*x^5-95*x^4-35*x^3+48*x^2+7*x-2, x^10-3*x^9-9*x^8+29*x^7+25*x^6-92*x^5-19*x^4+103*x^3-29*x-2, -x^9+5*x^8-x^7-29*x^6+37*x^5+32*x^4-71*x^3+17*x^2+12*x-1, x^9-3*x^8-7*x^7+23*x^6+13*x^5-52*x^4+x^3+21*x^2+4*x+3, -2*x^6+8*x^5+2*x^4-34*x^3+20*x^2+14*x, -x^7+5*x^6-3*x^5-18*x^4+27*x^3-3*x^2-7*x, -x^7+5*x^6-3*x^5-18*x^4+27*x^3-3*x^2-7*x, -x^8+4*x^7+2*x^6-22*x^5+12*x^4+26*x^3-18*x^2-4*x+1, -x^8+4*x^7+2*x^6-22*x^5+12*x^4+26*x^3-18*x^2-4*x+1, x^7-3*x^6-4*x^5+13*x^4+5*x^3-9*x^2-10*x-1, x^7-3*x^6-4*x^5+13*x^4+5*x^3-9*x^2-10*x-1, x^8-3*x^7-6*x^6+20*x^5+10*x^4-41*x^3+2*x^2+16*x+1, x^8-3*x^7-6*x^6+20*x^5+10*x^4-41*x^3+2*x^2+16*x+1, x^5-2*x^4-4*x^3+4*x^2+7*x-2, x^5-2*x^4-4*x^3+4*x^2+7*x-2, -x^9+4*x^8+4*x^7-30*x^6+10*x^5+63*x^4-44*x^3-30*x^2+19*x+1, -x^9+4*x^8+4*x^7-30*x^6+10*x^5+63*x^4-44*x^3-30*x^2+19*x+1, -x^8+3*x^7+7*x^6-23*x^5-12*x^4+49*x^3+x^2-25*x+1, -x^8+3*x^7+7*x^6-23*x^5-12*x^4+49*x^3+x^2-25*x+1]];
248
249
ssbasis[233] = [x^2+3, [0,(11),(85),(177),(183),(187),(114*x+43),(119*x+43),(94*x+152),(139*x+152),(149*x+201),(84*x+201),(208*x+104),(25*x+104),(222*x+76),(11*x+76),(156*x+32),(77*x+32),(193*x+89),(40*x+89)]];
250
ssmon[233] = [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
251
sseigen[233,1] = [x-1, [-1, -1, 1, -1, -3, 3, 1, 1, -1, -1, 3, 3, -1, -1, -1, -1, -1, -1, 1, 1]];
252
sseigen[233,2] = [x^7+2*x^6-6*x^5-10*x^4+10*x^3+8*x^2-7*x+1, [0, 0, 0, 0, 0, 0, -x^6-2*x^5+4*x^4+7*x^3-4*x^2-4*x+1, x^6+2*x^5-4*x^4-7*x^3+4*x^2+4*x-1, -x^5-2*x^4+2*x^3+3*x^2-2*x, x^5+2*x^4-2*x^3-3*x^2+2*x, -x^5-x^4+4*x^3+x^2-4*x+1, x^5+x^4-4*x^3-x^2+4*x-1, -x^4-x^3+2*x^2, x^4+x^3-2*x^2, -x^4-3*x^3+4*x-1, x^4+3*x^3-4*x+1, -x^4-2*x^3+x^2+x, x^4+2*x^3-x^2-x, -x^3-x^2+2*x, x^3+x^2-2*x]];
253
sseigen[233,3] = [x^11+2*x^10-16*x^9-30*x^8+91*x^7+158*x^6-213*x^5-349*x^4+152*x^3+290*x^2+41*x-19, [x^10+2*x^9-13*x^8-24*x^7+58*x^6+100*x^5-95*x^4-171*x^3+19*x^2+99*x+34, -2*x^10-4*x^9+26*x^8+50*x^7-114*x^6-216*x^5+184*x^4+378*x^3-60*x^2-228*x-58, x^10+2*x^9-13*x^8-28*x^7+46*x^6+120*x^5-15*x^4-159*x^3-91*x^2+7*x+12, 3*x^9+6*x^8-33*x^7-58*x^6+118*x^5+178*x^4-133*x^3-191*x^2-7*x+19, -2*x^9-4*x^8+24*x^7+46*x^6-88*x^5-164*x^4+90*x^3+188*x^2+20*x-26, x^9-2*x^8-19*x^7+16*x^6+100*x^5-34*x^4-171*x^3-5*x^2+73*x+11, 3*x^8+7*x^7-28*x^6-61*x^5+76*x^4+161*x^3-32*x^2-139*x-51, 3*x^8+7*x^7-28*x^6-61*x^5+76*x^4+161*x^3-32*x^2-139*x-51, x^8+3*x^7-10*x^6-34*x^5+26*x^4+115*x^3-104*x-41, x^8+3*x^7-10*x^6-34*x^5+26*x^4+115*x^3-104*x-41, 2*x^7+7*x^6-8*x^5-43*x^4-14*x^3+52*x^2+60*x+22, 2*x^7+7*x^6-8*x^5-43*x^4-14*x^3+52*x^2+60*x+22, -2*x^8-4*x^7+21*x^6+38*x^5-73*x^4-125*x^3+67*x^2+149*x+47, -2*x^8-4*x^7+21*x^6+38*x^5-73*x^4-125*x^3+67*x^2+149*x+47, x^9+2*x^8-13*x^7-27*x^6+49*x^5+112*x^4-36*x^3-139*x^2-51*x+4, x^9+2*x^8-13*x^7-27*x^6+49*x^5+112*x^4-36*x^3-139*x^2-51*x+4, -x^8-2*x^7+13*x^6+26*x^5-47*x^4-95*x^3+40*x^2+101*x+29, -x^8-2*x^7+13*x^6+26*x^5-47*x^4-95*x^3+40*x^2+101*x+29, -2*x^9-3*x^8+22*x^7+27*x^6-77*x^5-78*x^4+77*x^3+82*x^2+2*x-6, -2*x^9-3*x^8+22*x^7+27*x^6-77*x^5-78*x^4+77*x^3+82*x^2+2*x-6]];
254
255
ssbasis[239] = [x^2+1, [0,(55),(68),(105),(107),(113),(185),(192),(193),(214),(215),(217),(218),(225),(235),(103*x+94),(136*x+94),(179*x+141),(60*x+141),(79*x+191),(160*x+191)]];
256
ssmon[239] = [3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
257
sseigen[239,1] = [x^3+x^2-2*x-1, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -x^2-x+1, x^2+x-1, -x-1, x+1, -1, 1]];
258
sseigen[239,2] = [x^17-28*x^15+x^14+319*x^13-17*x^12-1903*x^11+91*x^10+6377*x^9-125*x^8-11967*x^7-233*x^6+11733*x^5+503*x^4-5015*x^3-94*x^2+609*x+49, [-x^16+25*x^14-x^13-248*x^12+16*x^11+1245*x^10-79*x^9-3341*x^8+106*x^7+4644*x^6+101*x^5-2910*x^4-219*x^3+541*x^2+87*x+14, x^16+x^15-25*x^14-22*x^13+248*x^12+191*x^11-1236*x^10-840*x^9+3222*x^8+1972*x^7-4144*x^6-2266*x^5+2228*x^4+901*x^3-479*x^2-122*x+35, 2*x^14+2*x^13-41*x^12-38*x^11+320*x^10+279*x^9-1177*x^8-997*x^7+2029*x^6+1751*x^5-1415*x^4-1258*x^3+297*x^2+297*x+14, -3*x^12+4*x^11+55*x^10-68*x^9-366*x^8+379*x^7+1093*x^6-781*x^5-1509*x^4+565*x^3+734*x^2-186*x-84, 4*x^13+x^12-78*x^11-13*x^10+569*x^9+64*x^8-1911*x^7-180*x^6+2912*x^5+286*x^4-1669*x^3-77*x^2+233*x+42, -3*x^11+x^10+47*x^9-28*x^8-263*x^7+178*x^6+624*x^5-317*x^4-650*x^3+98*x^2+198*x+42, -5*x^11+2*x^10+81*x^9-36*x^8-458*x^7+187*x^6+1083*x^5-279*x^4-1055*x^3+77*x^2+270*x-14, -x^13+2*x^12+19*x^11-41*x^10-137*x^9+308*x^8+492*x^7-1028*x^6-990*x^5+1453*x^4+1048*x^3-581*x^2-255*x+35, -9*x^10-7*x^9+131*x^8+62*x^7-647*x^6-160*x^5+1176*x^4+183*x^3-634*x^2+30*x+42, -3*x^13+59*x^11+x^10-426*x^9-38*x^8+1380*x^7+308*x^6-1945*x^5-702*x^4+826*x^3+293*x^2-29*x-21, -x^14+2*x^13+21*x^12-39*x^11-163*x^10+276*x^9+584*x^8-836*x^7-980*x^6+951*x^5+594*x^4-93*x^3+209*x^2-137*x-84, -3*x^14+65*x^12+3*x^11-536*x^10-58*x^9+2116*x^8+386*x^7-4129*x^6-970*x^5+3662*x^4+743*x^3-1209*x^2-75*x+42, 2*x^15+2*x^14-49*x^13-40*x^12+476*x^11+305*x^10-2315*x^9-1125*x^8+5851*x^7+2111*x^6-7239*x^5-1830*x^4+3635*x^3+451*x^2-452*x-84, -3*x^15+71*x^13-x^12-658*x^11+12*x^10+3036*x^9-19*x^8-7323*x^7-132*x^6+8823*x^5+284*x^4-4474*x^3-7*x^2+623*x+49, -3*x^13+4*x^12+63*x^11-71*x^10-494*x^9+443*x^8+1814*x^7-1146*x^6-3216*x^5+1161*x^4+2439*x^3-361*x^2-552*x-28, -x^12-x^11+13*x^10+16*x^9-46*x^8-96*x^7-5*x^6+251*x^5+227*x^4-244*x^3-232*x^2+86*x+42, -x^12-x^11+13*x^10+16*x^9-46*x^8-96*x^7-5*x^6+251*x^5+227*x^4-244*x^3-232*x^2+86*x+42, -3*x^12-x^11+55*x^10+10*x^9-368*x^8-39*x^7+1092*x^6+134*x^5-1418*x^4-225*x^3+590*x^2+27*x-21, -3*x^12-x^11+55*x^10+10*x^9-368*x^8-39*x^7+1092*x^6+134*x^5-1418*x^4-225*x^3+590*x^2+27*x-21, -3*x^11-4*x^10+42*x^9+45*x^8-192*x^7-169*x^6+276*x^5+250*x^4+8*x^3-34*x^2-78*x-21, -3*x^11-4*x^10+42*x^9+45*x^8-192*x^7-169*x^6+276*x^5+250*x^4+8*x^3-34*x^2-78*x-21]];
259
260
ssbasis[241] = [x^2+7, [(8),(28),(64),(93),(216),(240),(11*x+227),(230*x+227),(194*x+158),(47*x+158),(153*x+161),(88*x+161),(213*x+115),(28*x+115),(142*x+107),(99*x+107),(85*x+138),(156*x+138),(72*x+65),(169*x+65)]];
261
ssmon[241] = [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
262
sseigen[241,1] = [x^7+4*x^6-14*x^4-10*x^3+6*x^2+3*x-1, [0, 0, 0, 0, 0, 0, -x^6-4*x^5-x^4+10*x^3+7*x^2-3*x-1, x^6+4*x^5+x^4-10*x^3-7*x^2+3*x+1, -x^5-4*x^4-3*x^3+3*x^2+2*x-1, x^5+4*x^4+3*x^3-3*x^2-2*x+1, -x^4-3*x^3-x^2+2*x, x^4+3*x^3+x^2-2*x, -x^4-4*x^3-4*x^2+1, x^4+4*x^3+4*x^2-1, -x^3-2*x^2+1, x^3+2*x^2-1, -x^3-3*x^2-x+1, x^3+3*x^2+x-1, -x^2-x+1, x^2+x-1]];
263
sseigen[241,2] = [x^12-3*x^11-14*x^10+44*x^9+65*x^8-219*x^7-123*x^6+444*x^5+105*x^4-328*x^3-45*x^2+18*x-1, [-x^11+4*x^10+8*x^9-44*x^8-7*x^7+146*x^6-25*x^5-193*x^4+22*x^3+90*x^2+15*x-3, x^11-4*x^10-8*x^9+46*x^8+x^7-158*x^6+69*x^5+197*x^4-88*x^3-74*x^2-3*x+1, -2*x^8+6*x^7+10*x^6-34*x^5-10*x^4+44*x^3+2*x^2-4*x, -2*x^7+8*x^6-4*x^5-14*x^4+10*x^3+2*x^2+4*x, -4*x^7+14*x^6+8*x^5-52*x^4-4*x^3+52*x^2+8*x-2, -2*x^6+4*x^5+4*x^4-6*x^3-2*x^2-2*x, -x^8+4*x^7-x^6-9*x^5+3*x^4+4*x^3+3*x^2+x, -x^8+4*x^7-x^6-9*x^5+3*x^4+4*x^3+3*x^2+x, -x^9+4*x^8+5*x^7-31*x^6-x^5+70*x^4-3*x^3-53*x^2-12*x+2, -x^9+4*x^8+5*x^7-31*x^6-x^5+70*x^4-3*x^3-53*x^2-12*x+2, 2*x^7-5*x^6-12*x^5+29*x^4+18*x^3-37*x^2-8*x+1, 2*x^7-5*x^6-12*x^5+29*x^4+18*x^3-37*x^2-8*x+1, -x^10+4*x^9+6*x^8-37*x^7+5*x^6+91*x^5-35*x^4-75*x^3+22*x^2+9*x-1, -x^10+4*x^9+6*x^8-37*x^7+5*x^6+91*x^5-35*x^4-75*x^3+22*x^2+9*x-1, x^9-2*x^8-12*x^7+24*x^6+42*x^5-81*x^4-52*x^3+82*x^2+21*x-3, x^9-2*x^8-12*x^7+24*x^6+42*x^5-81*x^4-52*x^3+82*x^2+21*x-3, -x^9+3*x^8+7*x^7-24*x^6-9*x^5+48*x^4+3*x^3-28*x^2-4*x+1, -x^9+3*x^8+7*x^7-24*x^6-9*x^5+48*x^4+3*x^3-28*x^2-4*x+1, x^10-3*x^9-10*x^8+34*x^7+23*x^6-111*x^5+116*x^3-24*x^2-16*x+2, x^10-3*x^9-10*x^8+34*x^7+23*x^6-111*x^5+116*x^3-24*x^2-16*x+2]];
264
265
ssbasis[251] = [x^2+1, [0,(4),(24),(30),(35),(64),(101),(139),(185),(199),(207),(213),(222),(232),(178*x+178),(73*x+178),(57*x+166),(194*x+166),(147*x+30),(104*x+30),(171*x+79),(80*x+79)]];
266
ssmon[251] = [3,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1];
267
sseigen[251,1] = [x^4+2*x^3-2*x^2-3*x+1, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -x^3-2*x^2+x+2, x^3+2*x^2-x-2, x+1, -x-1, -1, 1, x^2+x-1, -x^2-x+1]];
268
sseigen[251,2] = [x^17-2*x^16-28*x^15+54*x^14+317*x^13-582*x^12-1867*x^11+3178*x^10+6186*x^9-9216*x^8-11921*x^7+13680*x^6+13752*x^5-9400*x^4-8800*x^3+1920*x^2+2240*x+256, [-x^16+2*x^15+26*x^14-50*x^13-269*x^12+492*x^11+1413*x^10-2406*x^9-4010*x^8+6074*x^7+6173*x^6-7520*x^5-5124*x^4+4136*x^3+2016*x^2-768*x-256, x^16-2*x^15-28*x^14+56*x^13+309*x^12-618*x^11-1697*x^10+3384*x^9+4842*x^8-9500*x^7-7063*x^6+12936*x^5+5620*x^4-8088*x^3-2416*x^2+1856*x+448, 2*x^11+2*x^10-42*x^9-28*x^8+310*x^7+142*x^6-974*x^5-340*x^4+1240*x^3+432*x^2-512*x-192, -2*x^11+2*x^10+30*x^9-20*x^8-158*x^7+14*x^6+394*x^5+292*x^4-608*x^3-576*x^2+352*x+320, -2*x^15+4*x^14+48*x^13-90*x^12-454*x^11+772*x^10+2176*x^9-3142*x^8-5748*x^7+6160*x^6+8628*x^5-5264*x^4-6784*x^3+1152*x^2+1984*x+256, 2*x^12-2*x^11-42*x^10+48*x^9+322*x^8-406*x^7-1082*x^6+1424*x^5+1560*x^4-1872*x^3-1120*x^2+832*x+384, -4*x^11+4*x^10+68*x^9-68*x^8-404*x^7+404*x^6+988*x^5-964*x^4-920*x^3+800*x^2+288*x-192, 2*x^11+2*x^10-38*x^9-28*x^8+266*x^7+126*x^6-830*x^5-236*x^4+1088*x^3+304*x^2-512*x-192, 2*x^12-2*x^11-46*x^10+48*x^9+382*x^8-390*x^7-1402*x^6+1256*x^5+2288*x^4-1328*x^3-1728*x^2+320*x+384, -2*x^14+4*x^13+44*x^12-86*x^11-366*x^10+692*x^9+1440*x^8-2562*x^7-2828*x^6+4360*x^5+2968*x^4-3168*x^3-1648*x^2+704*x+320, 2*x^13-2*x^12-46*x^11+44*x^10+394*x^9-342*x^8-1554*x^7+1100*x^6+2868*x^5-1280*x^4-2360*x^3+464*x^2+544*x-128, 2*x^11+2*x^10-38*x^9-36*x^8+266*x^7+214*x^6-798*x^5-524*x^4+880*x^3+608*x^2-256*x-192, -4*x^10+68*x^8-404*x^6+988*x^4+24*x^3-896*x^2-96*x+192, 2*x^13-2*x^12-46*x^11+44*x^10+398*x^9-342*x^8-1614*x^7+1084*x^6+3188*x^5-1112*x^4-3088*x^3-80*x^2+1152*x+384, -2*x^12+2*x^11+38*x^10-34*x^9-270*x^8+202*x^7+898*x^6-482*x^5-1448*x^4+376*x^3+1040*x^2-192, -2*x^12+2*x^11+38*x^10-34*x^9-270*x^8+202*x^7+898*x^6-482*x^5-1448*x^4+376*x^3+1040*x^2-192, -2*x^13+2*x^12+44*x^11-40*x^10-368*x^9+290*x^8+1460*x^7-900*x^6-2830*x^5+1048*x^4+2568*x^3-224*x^2-832*x-128, -2*x^13+2*x^12+44*x^11-40*x^10-368*x^9+290*x^8+1460*x^7-900*x^6-2830*x^5+1048*x^4+2568*x^3-224*x^2-832*x-128, x^14-x^13-24*x^12+23*x^11+220*x^10-195*x^9-968*x^8+745*x^7+2135*x^6-1268*x^5-2324*x^4+896*x^3+1136*x^2-224*x-192, x^14-x^13-24*x^12+23*x^11+220*x^10-195*x^9-968*x^8+745*x^7+2135*x^6-1268*x^5-2324*x^4+896*x^3+1136*x^2-224*x-192, x^15-x^14-28*x^13+27*x^12+312*x^11-283*x^10-1760*x^9+1429*x^8+5303*x^7-3452*x^6-8380*x^5+3288*x^4+6584*x^3-608*x^2-1888*x-256, x^15-x^14-28*x^13+27*x^12+312*x^11-283*x^10-1760*x^9+1429*x^8+5303*x^7-3452*x^6-8380*x^5+3288*x^4+6584*x^3-608*x^2-1888*x-256]];
269
270
ssbasis[257] = [x^2+3, [0,(30),(115),(121),(139),(198),(223),(249),(18*x+20),(239*x+20),(102*x+26),(155*x+26),(48*x+28),(209*x+28),(170*x+52),(87*x+52),(254*x+34),(3*x+34),(249*x+135),(8*x+135),(235*x+37),(22*x+37)]];
271
ssmon[257] = [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
272
sseigen[257,1] = [x^7+3*x^6-3*x^5-11*x^4+3*x^3+10*x^2-x-1, [0, 0, 0, 0, 0, 0, 0, 0, -x^6-3*x^5+x^4+6*x^3-x, x^6+3*x^5-x^4-6*x^3+x, -x^5-3*x^4+x^3+6*x^2-1, x^5+3*x^4-x^3-6*x^2+1, -x^5-2*x^4+2*x^3+3*x^2-x, x^5+2*x^4-2*x^3-3*x^2+x, -x^4-x^3+2*x^2, x^4+x^3-2*x^2, -x^3-x^2+x, x^3+x^2-x, -x, x, -x^2, x^2]];
273
sseigen[257,2] = [x^14-2*x^13-21*x^12+42*x^11+163*x^10-327*x^9-568*x^8+1153*x^7+830*x^6-1755*x^5-318*x^4+825*x^3+10*x^2-96*x-1, [-x^13+3*x^12+16*x^11-52*x^10-83*x^9+318*x^8+134*x^7-815*x^6+73*x^5+784*x^4-218*x^3-193*x^2+63*x+3, x^13-5*x^12-10*x^11+80*x^10-9*x^9-434*x^8+338*x^7+903*x^6-971*x^5-536*x^4+632*x^3+73*x^2-93*x-1, 2*x^10-10*x^9-6*x^8+92*x^7-74*x^6-206*x^5+270*x^4-12*x^3-12*x^2-8*x-4, 2*x^10-10*x^9-6*x^8+94*x^7-80*x^6-226*x^5+330*x^4+50*x^3-222*x^2+60*x+8, 2*x^9-8*x^8-8*x^7+54*x^6-6*x^5-86*x^4-20*x^3+82*x^2-10, 2*x^9-10*x^8-2*x^7+74*x^6-66*x^5-148*x^4+190*x^3+14*x^2-12*x-10, 4*x^6-10*x^5-8*x^4+32*x^3-24*x^2+10*x-4, 4*x^7-18*x^6+12*x^5+48*x^4-88*x^3+58*x^2-24*x+8, x^12-5*x^11-8*x^10+71*x^9-24*x^8-326*x^7+322*x^6+500*x^5-701*x^4-49*x^3+238*x^2-47*x-4, x^12-5*x^11-8*x^10+71*x^9-24*x^8-326*x^7+322*x^6+500*x^5-701*x^4-49*x^3+238*x^2-47*x-4, x^11-5*x^10-4*x^9+51*x^8-36*x^7-140*x^6+168*x^5+68*x^4-101*x^3-11*x^2+4*x+5, x^11-5*x^10-4*x^9+51*x^8-36*x^7-140*x^6+168*x^5+68*x^4-101*x^3-11*x^2+4*x+5, x^11-4*x^10-11*x^9+57*x^8+20*x^7-263*x^6+102*x^5+419*x^4-293*x^3-109*x^2+85*x-4, x^11-4*x^10-11*x^9+57*x^8+20*x^7-263*x^6+102*x^5+419*x^4-293*x^3-109*x^2+85*x-4, x^10-3*x^9-13*x^8+43*x^7+43*x^6-183*x^5-11*x^4+233*x^3-44*x^2-42*x+8, x^10-3*x^9-13*x^8+43*x^7+43*x^6-183*x^5-11*x^4+233*x^3-44*x^2-42*x+8, x^9-x^8-20*x^7+37*x^6+70*x^5-175*x^4+16*x^3+111*x^2-35*x-4, x^9-x^8-20*x^7+37*x^6+70*x^5-175*x^4+16*x^3+111*x^2-35*x-4, 2*x^8-9*x^7+4*x^6+29*x^5-40*x^4+13*x^3-x+2, 2*x^8-9*x^7+4*x^6+29*x^5-40*x^4+13*x^3-x+2, x^8+2*x^7-27*x^6+14*x^5+113*x^4-102*x^3-73*x^2+38*x+2, x^8+2*x^7-27*x^6+14*x^5+113*x^4-102*x^3-73*x^2+38*x+2]];
274
275
ssbasis[263] = [x^2+1, [0,(31),(37),(55),(85),(107),(108),(110),(141),(149),(150),(184),(208),(165*x+162),(98*x+162),(193*x+84),(70*x+84),(126*x+55),(137*x+55),(59*x+23),(204*x+23),(22*x+53),(241*x+53)]];
276
ssmon[263] = [3,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1];
277
sseigen[263,1] = [x^5+2*x^4-3*x^3-6*x^2+1, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -x^4-2*x^3+2*x^2+4*x, x^4+2*x^3-2*x^2-4*x, -x^3-2*x^2+1, x^3+2*x^2-1, -x^2-2*x-1, x^2+2*x+1, -x^2-x+1, x^2+x-1, -x-1, x+1]];
278
sseigen[263,2] = [x^17-x^16-26*x^15+24*x^14+274*x^13-225*x^12-1505*x^11+1041*x^10+4613*x^9-2467*x^8-7815*x^7+2761*x^6+6709*x^5-974*x^4-2284*x^3-239*x^2+135*x+19, [-x^16+x^15+24*x^14-22*x^13-230*x^12+185*x^11+1125*x^10-743*x^9-2976*x^8+1452*x^7+4131*x^6-1233*x^5-2641*x^4+304*x^3+548*x^2-10*x-28, x^16-x^15-26*x^14+24*x^13+270*x^12-219*x^11-1434*x^10+948*x^9+4143*x^8-1981*x^7-6353*x^6+1798*x^5+4508*x^4-480*x^3-944*x^2+20*x+48, x^14-x^13-21*x^12+21*x^11+168*x^10-159*x^9-647*x^8+534*x^7+1264*x^6-804*x^5-1188*x^4+460*x^3+420*x^2-22*x-26, x^15-x^14-24*x^13+24*x^12+224*x^11-215*x^10-1024*x^9+884*x^8+2377*x^7-1629*x^6-2627*x^5+1028*x^4+1084*x^3+112*x^2-48*x-16, -2*x^15+2*x^14+44*x^13-40*x^12-380*x^11+298*x^10+1637*x^9-1015*x^8-3684*x^7+1528*x^6+4068*x^5-670*x^4-1736*x^3-249*x^2+107*x+19, x^14-x^13-22*x^12+22*x^11+183*x^10-172*x^9-727*x^8+585*x^7+1447*x^6-858*x^5-1328*x^4+416*x^3+378*x^2-20*x-22, -2*x^14+2*x^13+40*x^12-38*x^11-304*x^10+266*x^9+1101*x^8-847*x^7-1972*x^6+1231*x^5+1679*x^4-681*x^3-593*x^2+29*x+36, -2*x^13+38*x^11+4*x^10-266*x^9-64*x^8+829*x^7+336*x^6-1075*x^5-638*x^4+382*x^3+343*x^2-2*x-26, -2*x^13+2*x^12+38*x^11-36*x^10-270*x^9+232*x^8+883*x^7-633*x^6-1314*x^5+627*x^4+761*x^3-65*x^2-69*x+7, x^13-x^12-17*x^11+17*x^10+100*x^9-101*x^8-229*x^7+266*x^6+134*x^5-388*x^4+92*x^3+326*x^2+24*x-30, x^13-21*x^11+168*x^9+9*x^8-638*x^7-104*x^6+1160*x^5+356*x^4-832*x^3-372*x^2+48*x+26, x^15-x^14-24*x^13+22*x^12+227*x^11-176*x^10-1083*x^9+617*x^8+2769*x^7-862*x^6-3642*x^5+136*x^4+1992*x^3+396*x^2-146*x-22, -2*x^12+4*x^11+34*x^10-64*x^9-208*x^8+354*x^7+561*x^6-794*x^5-659*x^4+642*x^3+248*x^2-53*x-10, 2*x^12-2*x^11-34*x^10+29*x^9+209*x^8-134*x^7-565*x^6+208*x^5+640*x^4-67*x^3-198*x^2-4*x+13, 2*x^12-2*x^11-34*x^10+29*x^9+209*x^8-134*x^7-565*x^6+208*x^5+640*x^4-67*x^3-198*x^2-4*x+13, x^13+x^12-21*x^11-22*x^10+173*x^9+175*x^8-690*x^7-619*x^6+1300*x^5+980*x^4-932*x^3-578*x^2+42*x+40, x^13+x^12-21*x^11-22*x^10+173*x^9+175*x^8-690*x^7-619*x^6+1300*x^5+980*x^4-932*x^3-578*x^2+42*x+40, x^13-22*x^11+2*x^10+178*x^9-16*x^8-661*x^7+2*x^6+1157*x^5+140*x^4-807*x^3-208*x^2+62*x+11, x^13-22*x^11+2*x^10+178*x^9-16*x^8-661*x^7+2*x^6+1157*x^5+140*x^4-807*x^3-208*x^2+62*x+11, x^14-23*x^12+2*x^11+205*x^10-32*x^9-883*x^8+176*x^7+1863*x^6-385*x^5-1712*x^4+296*x^3+448*x^2-18*x-24, x^14-23*x^12+2*x^11+205*x^10-32*x^9-883*x^8+176*x^7+1863*x^6-385*x^5-1712*x^4+296*x^3+448*x^2-18*x-24, -x^12+x^11+17*x^10-17*x^9-109*x^8+107*x^7+329*x^6-302*x^5-459*x^4+308*x^3+262*x^2-11*x-18, -x^12+x^11+17*x^10-17*x^9-109*x^8+107*x^7+329*x^6-302*x^5-459*x^4+308*x^3+262*x^2-11*x-18]];
279
280
ssbasis[269] = [x^2+2, [0,(5),(92),(111),(122),(142),(189),(197),(199),(200),(215),(75*x+258),(194*x+258),(186*x+178),(83*x+178),(82*x+82),(187*x+82),(33*x+253),(236*x+253),(74*x+193),(195*x+193),(256*x+153),(13*x+153)]];
281
ssmon[269] = [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1];
282
sseigen[269,1] = [x, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, -1, 1]];
283
sseigen[269,2] = [x^5+x^4-5*x^3-4*x^2+5*x+3, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -x^4-x^3+3*x^2+2*x, x^4+x^3-3*x^2-2*x, -x^3-x^2+3*x+2, x^3+x^2-3*x-2, -x^3-x^2+2*x+1, x^3+x^2-2*x-1, -x^2-x, x^2+x, -x, x, -x-1, x+1]];
284
sseigen[269,3] = [x^16-x^15-28*x^14+27*x^13+314*x^12-283*x^11-1803*x^10+1435*x^9+5637*x^8-3547*x^7-9470*x^6+3701*x^5+7860*x^4-1001*x^3-2363*x^2-43*x+172, [-x^15+x^14+25*x^13-24*x^12-245*x^11+219*x^10+1192*x^9-932*x^8-3015*x^7+1801*x^6+3813*x^5-1230*x^4-2067*x^3+35*x^2+202*x-14, x^15-x^14-25*x^13+24*x^12+249*x^11-227*x^10-1254*x^9+1060*x^8+3329*x^7-2471*x^6-4407*x^5+2532*x^4+2549*x^3-973*x^2-394*x+120, 2*x^13-2*x^12-40*x^11+40*x^10+296*x^9-290*x^8-990*x^7+906*x^6+1468*x^5-1120*x^4-898*x^3+510*x^2+162*x-60, 2*x^12-2*x^11-44*x^10+38*x^9+354*x^8-252*x^7-1264*x^6+636*x^5+1934*x^4-370*x^3-1068*x^2-66*x+102, -2*x^9+16*x^7-30*x^6-16*x^5+230*x^4-72*x^3-410*x^2-54*x+50, x^14-x^13-21*x^12+20*x^11+169*x^10-147*x^9