Sharedwww / comps / valentine.logOpen in CoCalc
Creating M_2(Gamma_1(148),eps;F_0)^+
,  0.669 seconds.
Full Modular symbols space of dimension 22, level 148, weight 2 and character [ 
1, zeta ] (plus quotient)
Creating M_2(Gamma_1(74),eps;F_0)^+
,  0.31 seconds.
Sorting and labeling factors at level 148.
Modular symbols factors:
(nontrivial character)
148k2epsA:  dim = 1    cuspidal
148k2epsB:  dim = 1    cuspidal
f148 (this will take a while!!)
q + 2*zeta*q^3 + (zeta - 2)*q^5 + 2*zeta*q^7 + (zeta - 1)*q^9 + (-2*zeta - 
    2)*q^15 + (-zeta - 1)*q^17 + (-4*zeta + 8)*q^19 + (4*zeta - 4)*q^21 + 
    (-4*zeta + 2)*q^23 + (2*zeta - 2)*q^25 + 4*q^27 + (-2*zeta + 1)*q^29 + 
    (-8*zeta + 4)*q^31 + (-2*zeta - 2)*q^35 + (7*zeta - 4)*q^37 - 9*zeta*q^41 + 
    (-4*zeta + 2)*q^43 + (-2*zeta + 1)*q^45 - 12*q^47 + (-3*zeta + 3)*q^49 + 
    (-4*zeta + 2)*q^51 + (6*zeta - 6)*q^53 + (8*zeta + 8)*q^57 + (8*zeta + 
    8)*q^59 + (7*zeta - 14)*q^61 - 2*q^63 + 8*zeta*q^67 + (-4*zeta + 8)*q^69 + 
    6*zeta*q^71 + 10*q^73 - 4*q^75 + 11*zeta*q^81 + (6*zeta - 6)*q^83 + 3*q^85 +
    (-2*zeta + 4)*q^87 + (-9*zeta - 9)*q^89 + (-8*zeta + 16)*q^93 + (12*zeta - 
    12)*q^95 + (-6*zeta + 3)*q^97 - 9*q^101 + (4*zeta - 2)*q^103 + (-8*zeta + 
    4)*q^105 + 6*zeta*q^107 + (-zeta - 1)*q^109 + (6*zeta - 14)*q^111 + (-4*zeta
    - 4)*q^113 + 6*zeta*q^115 + (-4*zeta + 2)*q^119 - 11*q^121 + (-18*zeta + 
    18)*q^123 + (-14*zeta + 7)*q^125 + (2*zeta - 2)*q^127 + (-4*zeta + 8)*q^129 
    + (-6*zeta - 6)*q^131 + (8*zeta + 8)*q^133 + (4*zeta - 8)*q^135 - 3*q^137 + 
    (-2*zeta + 2)*q^139 - 24*zeta*q^141 + 3*zeta*q^145 + 6*q^147 + 21*q^149 - 
    2*zeta*q^151 + (-zeta + 2)*q^153 + 12*zeta*q^155 + (-23*zeta + 23)*q^157 - 
    12*q^159 + (-4*zeta + 8)*q^161 + (-10*zeta - 10)*q^163 + (-8*zeta + 
    16)*q^167 + (13*zeta - 13)*q^169 + (8*zeta - 4)*q^171 + (9*zeta - 9)*q^173 -
    4*q^175 + (32*zeta - 16)*q^177 + (8*zeta - 4)*q^179 - 7*zeta*q^181 + 
    (-14*zeta - 14)*q^183 + (-11*zeta + 1)*q^185 + 8*zeta*q^189 + (-12*zeta + 
    6)*q^191 + (14*zeta - 7)*q^193 + (-3*zeta + 3)*q^197 + (4*zeta - 2)*q^199 + 
    (16*zeta - 16)*q^201 + (-2*zeta + 4)*q^203 + (9*zeta + 9)*q^205 + (2*zeta + 
    2)*q^207 - 10*q^211 + (12*zeta - 12)*q^213 + 6*zeta*q^215 + (-8*zeta + 
    16)*q^217 + 20*zeta*q^219 - 10*q^223 - 2*zeta*q^225 + (-16*zeta + 32)*q^227 
    - 5*zeta*q^229 + 21*q^233 + (-12*zeta + 24)*q^235 + (10*zeta + 10)*q^239 + 
    (12*zeta - 24)*q^241 + (10*zeta - 10)*q^243 + (6*zeta - 3)*q^245 - 12*q^249 
    + (28*zeta - 14)*q^251 + 6*zeta*q^255 + (3*zeta + 3)*q^257 + (6*zeta - 
    14)*q^259 + (zeta + 1)*q^261 + 24*zeta*q^263 + (-12*zeta + 6)*q^265 + 
    (-36*zeta + 18)*q^267 - 18*q^269 + (-32*zeta + 32)*q^271 + (9*zeta - 
    18)*q^277 + (4*zeta + 4)*q^279 + (-3*zeta - 3)*q^281 + (2*zeta - 4)*q^283 - 
    24*q^285 + (-18*zeta + 18)*q^287 - 14*zeta*q^289 + (-6*zeta + 12)*q^291 + 
    21*zeta*q^293 - 24*q^295 + (-4*zeta + 8)*q^301 - 18*zeta*q^303 + (-21*zeta +
    21)*q^305 + 2*q^307 + (4*zeta - 8)*q^309 + (-6*zeta - 6)*q^311 + (-15*zeta -
    15)*q^313 + (-2*zeta + 4)*q^315 + (-27*zeta + 27)*q^317 + (12*zeta - 
    12)*q^321 - 12*q^323 + (-4*zeta + 2)*q^327 - 24*zeta*q^329 + (-4*zeta - 
    4)*q^331 + (-4*zeta - 3)*q^333 + (-8*zeta - 8)*q^335 + 19*zeta*q^337 + 
    (-16*zeta + 8)*q^339 + 20*q^343 + (12*zeta - 12)*q^345 + (20*zeta - 
    10)*q^347 + (19*zeta - 19)*q^349 + (19*zeta + 19)*q^353 + (-6*zeta - 
    6)*q^355 + (-4*zeta + 8)*q^357 + 24*q^359 + (-29*zeta + 29)*q^361 - 
    22*zeta*q^363 + (10*zeta - 20)*q^365 + 28*zeta*q^367 + 9*q^369 - 12*q^371 + 
    23*zeta*q^373 + (-14*zeta + 28)*q^375 + (-2*zeta + 2)*q^379 - 4*q^381 + 
    (-2*zeta + 4)*q^383 + (2*zeta + 2)*q^387 + (-9*zeta + 18)*q^389 + (6*zeta - 
    6)*q^391 + (-24*zeta + 12)*q^393 - 29*q^397 + (32*zeta - 16)*q^399 + 
    (24*zeta - 12)*q^401 + (-11*zeta - 11)*q^405 + (15*zeta + 15)*q^409 - 
    6*zeta*q^411 + (32*zeta - 16)*q^413 + (-12*zeta + 6)*q^415 + 4*q^417 + 
    (-6*zeta + 6)*q^419 + (34*zeta - 17)*q^421 + (-12*zeta + 12)*q^423 + 
    (-2*zeta + 4)*q^425 + (-14*zeta - 14)*q^427 + (-8*zeta + 16)*q^431 - 
    11*q^433 + (6*zeta - 6)*q^435 - 24*zeta*q^437 + (20*zeta - 40)*q^439 + 
    3*zeta*q^441 - 36*q^443 + 27*q^445 + 42*zeta*q^447 + (4*zeta - 8)*q^449 + 
    (-4*zeta + 4)*q^453 + (-3*zeta + 6)*q^457 + (-4*zeta - 4)*q^459 + (8*zeta + 
    8)*q^461 + (-2*zeta + 4)*q^463 + (24*zeta - 24)*q^465 + (16*zeta - 8)*q^467 
    + (16*zeta - 16)*q^469 + 46*q^471 + (16*zeta - 8)*q^475 - 6*zeta*q^477 + 
    (16*zeta + 16)*q^479 + (8*zeta + 8)*q^483 + 9*zeta*q^485 + (-20*zeta + 
    10)*q^487 + (-40*zeta + 20)*q^489 - 24*q^491 + (3*zeta - 3)*q^493 + (12*zeta
    - 12)*q^497 + (16*zeta + 16)*q^501 + (-12*zeta - 12)*q^503 + (-9*zeta + 
    18)*q^505 - 26*q^507 + (-27*zeta + 27)*q^509 + 20*zeta*q^511 + (-16*zeta + 
    32)*q^513 - 6*zeta*q^515 - 18*q^519 - 18*zeta*q^521 + (-18*zeta + 36)*q^523 
    - 8*zeta*q^525 + (12*zeta - 12)*q^527 + 11*q^529 + (8*zeta - 16)*q^531 + 
    (-6*zeta - 6)*q^535 + (8*zeta - 16)*q^537 + (-18*zeta + 9)*q^541 + (-14*zeta
    + 14)*q^543 + 3*q^545 + (-24*zeta + 12)*q^547 + (-14*zeta + 7)*q^549 - 
    12*zeta*q^551 + (-20*zeta + 22)*q^555 + (-11*zeta - 11)*q^557 + (36*zeta - 
    18)*q^563 + 12*q^565 + (22*zeta - 22)*q^567 + (-46*zeta + 23)*q^569 + 
    (10*zeta - 10)*q^571 + (-12*zeta + 24)*q^573 + (4*zeta + 4)*q^575 + (-8*zeta
    - 8)*q^577 + (14*zeta - 28)*q^579 - 12*q^581 + (22*zeta - 44)*q^587 - 
    48*zeta*q^589 + 6*q^591 - 21*q^593 + 6*zeta*q^595 + (4*zeta - 8)*q^597 + 
    (-5*zeta + 5)*q^601
Saving Magma state to "valentine.s"
Creating M_2(Gamma_1(208),eps;F_0)^+
,  1.06 seconds.
Full Modular symbols space of dimension 32, level 208, weight 2 and character [ 
1, 1, zeta ] (plus quotient)
Creating M_2(Gamma_1(104),eps;F_0)^+
,  0.47 seconds.
Sorting and labeling factors at level 208.
Modular symbols factors:
(nontrivial character)
208k2epsA:  dim = 1    cuspidal
208k2epsB:  dim = 1    cuspidal
208k2epsC:  dim = 4    cuspidal
f208 (this will take a while!!)
q + (zeta - 1)*q^3 + (-zeta + 2)*q^7 + 2*zeta*q^9 + (3*zeta + 3)*q^11 + (4*zeta 
    - 3)*q^13 - 3*zeta*q^17 + (3*zeta - 6)*q^19 + (2*zeta - 1)*q^21 + (-3*zeta +
    3)*q^23 + 5*q^25 - 5*q^27 + (-9*zeta + 9)*q^29 + (-4*zeta + 2)*q^31 + 
    (3*zeta - 6)*q^33 + (-3*zeta - 3)*q^37 + (-3*zeta - 1)*q^39 + (-3*zeta - 
    3)*q^41 + 5*zeta*q^43 + (-12*zeta + 6)*q^47 + (4*zeta - 4)*q^49 + 3*q^51 - 
    6*q^53 + (-6*zeta + 3)*q^57 + (3*zeta - 6)*q^59 + 5*zeta*q^61 + (2*zeta + 
    2)*q^63 + (-zeta - 1)*q^67 + 3*zeta*q^69 + (3*zeta - 6)*q^71 + (-8*zeta + 
    4)*q^73 + (5*zeta - 5)*q^75 + 9*q^77 - 4*q^79 + (zeta - 1)*q^81 + (-12*zeta 
    + 6)*q^83 + 9*zeta*q^87 + (9*zeta + 9)*q^89 + (7*zeta - 2)*q^91 + (2*zeta + 
    2)*q^93 + (7*zeta - 14)*q^97 + (12*zeta - 6)*q^99 + (3*zeta - 3)*q^101 + 
    16*q^103 + (-15*zeta + 15)*q^107 + (-16*zeta + 8)*q^109 + (-3*zeta + 
    6)*q^111 - 3*zeta*q^113 + (2*zeta - 8)*q^117 + (-3*zeta - 3)*q^119 + 
    16*zeta*q^121 + (-3*zeta + 6)*q^123 + (17*zeta - 17)*q^127 - 5*q^129 + 
    12*q^131 + (9*zeta - 9)*q^133 + (-9*zeta + 18)*q^137 - 7*zeta*q^139 + 
    (6*zeta + 6)*q^141 + (15*zeta - 21)*q^143 - 4*zeta*q^147 + (3*zeta - 
    6)*q^149 + (12*zeta - 6)*q^151 + (-6*zeta + 6)*q^153 + 2*q^157 + (-6*zeta + 
    6)*q^159 + (-6*zeta + 3)*q^161 + (7*zeta - 14)*q^163 + (-9*zeta - 9)*q^167 +
    (-8*zeta - 7)*q^169 + (-6*zeta - 6)*q^171 - 3*zeta*q^173 + (-5*zeta + 
    10)*q^175 + (-6*zeta + 3)*q^177 + (-15*zeta + 15)*q^179 + 2*q^181 - 5*q^183 
    + (-18*zeta + 9)*q^187 + (5*zeta - 10)*q^189 + 21*zeta*q^191 + (5*zeta + 
    5)*q^193 + (-15*zeta - 15)*q^197 + zeta*q^199 + (-zeta + 2)*q^201 + 
    (-18*zeta + 9)*q^203 + 6*q^207 - 27*q^209 + (-7*zeta + 7)*q^211 + (-6*zeta +
    3)*q^213 - 6*zeta*q^217 + (4*zeta + 4)*q^219 + (-3*zeta + 12)*q^221 + 
    (-9*zeta - 9)*q^223 + 10*zeta*q^225 + (3*zeta - 6)*q^227 + (9*zeta - 
    9)*q^231 + 6*q^233 + (-4*zeta + 4)*q^237 + (12*zeta - 6)*q^239 + (3*zeta - 
    6)*q^241 - 16*zeta*q^243 + (-21*zeta + 6)*q^247 + (6*zeta + 6)*q^249 + 
    21*zeta*q^251 + (-9*zeta + 18)*q^253 + (3*zeta - 3)*q^257 - 9*q^259 + 
    18*q^261 + (21*zeta - 21)*q^263 + (9*zeta - 18)*q^267 + 9*zeta*q^269 + 
    (7*zeta + 7)*q^271 + (-2*zeta - 5)*q^273 + (15*zeta + 15)*q^275 + zeta*q^277
    + (-4*zeta + 8)*q^279 + (24*zeta - 12)*q^281 + (-7*zeta + 7)*q^283 - 9*q^287
    + (-8*zeta + 8)*q^289 + (-14*zeta + 7)*q^291 + (3*zeta - 6)*q^293 + 
    (-15*zeta - 15)*q^297 + (9*zeta + 3)*q^299 + (5*zeta + 5)*q^301 - 
    3*zeta*q^303 + (20*zeta - 10)*q^307 + (16*zeta - 16)*q^309 + 22*q^313 + 
    (24*zeta - 12)*q^317 + (-27*zeta + 54)*q^319 + 15*zeta*q^321 + (9*zeta + 
    9)*q^323 + (20*zeta - 15)*q^325 + (8*zeta + 8)*q^327 - 18*zeta*q^329 + 
    (7*zeta - 14)*q^331 + (-12*zeta + 6)*q^333 - 2*q^337 + 3*q^339 + (-18*zeta +
    18)*q^341 + (22*zeta - 11)*q^343 - 3*zeta*q^347 + (-11*zeta - 11)*q^349 + 
    (-20*zeta + 15)*q^351 + (9*zeta + 9)*q^353 + (-3*zeta + 6)*q^357 + (-36*zeta
    + 18)*q^359 + (-8*zeta + 8)*q^361 - 16*q^363 + (13*zeta - 13)*q^367 + 
    (-12*zeta + 6)*q^369 + (6*zeta - 12)*q^371 - 7*zeta*q^373 + (27*zeta + 
    9)*q^377 + (-5*zeta - 5)*q^379 - 17*zeta*q^381 + (15*zeta - 30)*q^383 + 
    (10*zeta - 10)*q^387 + 6*q^389 - 9*q^391 + (12*zeta - 12)*q^393 + (-zeta + 
    2)*q^397 - 9*zeta*q^399 + (-3*zeta - 3)*q^401 + (4*zeta + 10)*q^403 - 
    27*zeta*q^407 + (-5*zeta + 10)*q^409 + (18*zeta - 9)*q^411 + (9*zeta - 
    9)*q^413 + 7*q^417 + (21*zeta - 21)*q^419 + (16*zeta - 8)*q^421 + (-12*zeta 
    + 24)*q^423 - 15*zeta*q^425 + (5*zeta + 5)*q^427 + (-21*zeta + 6)*q^429 + 
    (3*zeta + 3)*q^431 - 19*zeta*q^433 + (18*zeta - 9)*q^437 + (-23*zeta + 
    23)*q^439 - 8*q^441 + 12*q^443 + (-6*zeta + 3)*q^447 + (3*zeta - 6)*q^449 - 
    27*zeta*q^451 + (-6*zeta - 6)*q^453 + (-23*zeta - 23)*q^457 + 15*zeta*q^459 
    + (15*zeta - 30)*q^461 + (-20*zeta + 10)*q^463 - 24*q^467 - 3*q^469 + 
    (2*zeta - 2)*q^471 + (30*zeta - 15)*q^473 + (15*zeta - 30)*q^475 - 
    12*zeta*q^477 + (-21*zeta - 21)*q^479 + (-15*zeta + 21)*q^481 + (3*zeta + 
    3)*q^483 + (-21*zeta + 42)*q^487 + (-14*zeta + 7)*q^489 + (-27*zeta + 
    27)*q^491 - 27*q^493 + (9*zeta - 9)*q^497 + (36*zeta - 18)*q^499 + (-9*zeta 
    + 18)*q^501 + 21*zeta*q^503 + (-7*zeta + 15)*q^507 + (21*zeta + 21)*q^509 - 
    12*zeta*q^511 + (-15*zeta + 30)*q^513 + (-54*zeta + 54)*q^517 + 3*q^519 - 
    18*q^521 + (-11*zeta + 11)*q^523 + (10*zeta - 5)*q^525 + (6*zeta - 12)*q^527
    + 14*zeta*q^529 + (-6*zeta - 6)*q^531 + (-15*zeta + 21)*q^533 + 
    15*zeta*q^537 + (12*zeta - 24)*q^539 + (8*zeta - 4)*q^541 + (2*zeta - 
    2)*q^543 + 4*q^547 + (10*zeta - 10)*q^549 + (54*zeta - 27)*q^551 + (4*zeta -
    8)*q^553 + (9*zeta + 9)*q^557 + (5*zeta - 20)*q^559 + (9*zeta + 9)*q^561 - 
    15*zeta*q^563 + (2*zeta - 1)*q^567 + (-9*zeta + 9)*q^569 - 4*q^571 - 
    21*q^573 + (-15*zeta + 15)*q^575 + (24*zeta - 12)*q^577 + (5*zeta - 
    10)*q^579 - 18*zeta*q^581 + (-18*zeta - 18)*q^583 + (15*zeta + 15)*q^587 + 
    18*zeta*q^589 + (-15*zeta + 30)*q^591 + (-24*zeta + 12)*q^593 - q^597 + 
    12*q^599 + (19*zeta - 19)*q^601 + (-4*zeta + 2)*q^603 + 41*zeta*q^607 + 
    (9*zeta + 9)*q^609 + (12*zeta + 30)*q^611 + (13*zeta + 13)*q^613 + (15*zeta 
    - 30)*q^617 + (52*zeta - 26)*q^619 + (15*zeta - 15)*q^621 + 27*q^623 + 
    25*q^625 + (-27*zeta + 27)*q^627 + (18*zeta - 9)*q^629 + (-5*zeta + 
    10)*q^631 + 7*zeta*q^633 + (-12*zeta - 4)*q^637 + (-6*zeta - 6)*q^639 - 
    27*zeta*q^641 + (-25*zeta + 50)*q^643 + (33*zeta - 33)*q^647 - 27*q^649 + 
    6*q^651 + (27*zeta - 27)*q^653 + (-8*zeta + 16)*q^657 - 27*zeta*q^659 + 
    (13*zeta + 13)*q^661 + (12*zeta - 9)*q^663 - 27*zeta*q^667 + (-9*zeta + 
    18)*q^669 + (30*zeta - 15)*q^671 + (23*zeta - 23)*q^673 - 25*q^675 + 
    18*q^677 + (21*zeta - 21)*q^679 + (-6*zeta + 3)*q^681 + (3*zeta - 6)*q^683 +
    (-24*zeta + 18)*q^689 + (-5*zeta - 5)*q^691 + 18*zeta*q^693 + (18*zeta - 
    9)*q^697 + (6*zeta - 6)*q^699 - 30*q^701 + 27*q^703 + (6*zeta - 3)*q^707 + 
    (-17*zeta + 34)*q^709 - 8*zeta*q^711 + (-6*zeta - 6)*q^713 + (-6*zeta - 
    6)*q^717 - 27*zeta*q^719 + (-16*zeta + 32)*q^721 + (-6*zeta + 3)*q^723 + 
    (-45*zeta + 45)*q^725 - 40*q^727 + 13*q^729 + (-15*zeta + 15)*q^731 + 
    (-40*zeta + 20)*q^733 - 9*zeta*q^737 + (-9*zeta - 9)*q^739 + (6*zeta + 
    15)*q^741 + (3*zeta + 3)*q^743 + (-12*zeta + 24)*q^747 + (-30*zeta + 
    15)*q^749 + (13*zeta - 13)*q^751 - 21*q^753 + (43*zeta - 43)*q^757 + 
    (18*zeta - 9)*q^759 + (3*zeta - 6)*q^761 - 24*zeta*q^763 + (-21*zeta + 
    6)*q^767 + (21*zeta + 21)*q^769 - 3*zeta*q^771 + (15*zeta - 30)*q^773 + 
    (-20*zeta + 10)*q^775 + (-9*zeta + 9)*q^777 + 27*q^779 - 27*q^781 + (45*zeta
    - 45)*q^783 + (-zeta + 2)*q^787 - 21*zeta*q^789 + (-3*zeta - 3)*q^791 + 
    (5*zeta - 20)*q^793 - 27*zeta*q^797 + (18*zeta - 36)*q^799 + (36*zeta - 
    18)*q^801 + (-36*zeta + 36)*q^803 - 9*q^807 + (-21*zeta + 21)*q^809 + 
    (-52*zeta + 26)*q^811 + (7*zeta - 14)*q^813 + (-15*zeta - 15)*q^817 + 
    (10*zeta - 14)*q^819 + (-15*zeta - 15)*q^821
Saving Magma state to "valentine.s"
Creating M_2(Gamma_1(592),eps;F_0)^+
,  4.951 seconds.
Full Modular symbols space of dimension 80, level 592, weight 2 and character [ 
1, 1, zeta ] (plus quotient)
Creating M_2(Gamma_1(296),eps;F_0)^+
,  1.57 seconds.
Sorting and labeling factors at level 592.
Modular symbols factors:
(nontrivial character)
592k2epsA:  dim = 1    cuspidal
592k2epsB:  dim = 1    cuspidal
592k2epsC:  dim = 2    cuspidal
592k2epsD:  dim = 2    cuspidal
592k2epsE:  dim = 2    cuspidal
592k2epsF:  dim =10    cuspidal
f592
q + zeta*q^3 + (-zeta + 2)*q^5 + zeta*q^7 + (-2*zeta + 2)*q^9 + (-zeta + 2)*q^13
    + (zeta + 1)*q^15 + (zeta + 1)*q^17 + (-zeta + 2)*q^19 + (zeta - 1)*q^21 + 
    (-4*zeta + 2)*q^23 + (2*zeta - 2)*q^25 + 5*q^27 + (8*zeta - 4)*q^29 + 
    (-4*zeta + 2)*q^31 + (zeta + 1)*q^35 + (-4*zeta - 3)*q^37 + (zeta + 1)*q^39 
    + 9*zeta*q^41 + (4*zeta - 2)*q^43 + (-4*zeta + 2)*q^45 + (-6*zeta + 6)*q^49 
    + (2*zeta - 1)*q^51 + (3*zeta - 3)*q^53 + (zeta + 1)*q^57 + (-zeta - 1)*q^59
    + (-zeta + 2)*q^61 + 2*q^63 + (-3*zeta + 3)*q^65 + 13*zeta*q^67 + (-2*zeta +
    4)*q^69 - 15*zeta*q^71 - 2*q^73 - 2*q^75 + (7*zeta - 14)*q^79 - zeta*q^81 + 
    (9*zeta - 9)*q^83 + 3*q^85 + (4*zeta - 8)*q^87 + (-3*zeta - 3)*q^89 + (zeta 
    + 1)*q^91 + (-2*zeta + 4)*q^93 + (-3*zeta + 3)*q^95 + (-8*zeta + 4)*q^97 - 
    6*q^101 + (-20*zeta + 10)*q^103 + (2*zeta - 1)*q^105 + 9*zeta*q^107 + 
    (-7*zeta - 7)*q^109 + (-7*zeta + 4)*q^111 + (zeta + 1)*q^113 - 6*zeta*q^115 
    + (-4*zeta + 2)*q^117 + (2*zeta - 1)*q^119 - 11*q^121 + (9*zeta - 9)*q^123 +
    (14*zeta - 7)*q^125 + (-11*zeta + 11)*q^127 + (2*zeta - 4)*q^129 + (-9*zeta 
    - 9)*q^131 + (zeta + 1)*q^133 + (-5*zeta + 10)*q^135 - 18*q^137 + (5*zeta - 
    5)*q^139 + 12*zeta*q^145 + 6*q^147 - 6*q^149 - 19*zeta*q^151 + (-2*zeta + 
    4)*q^153 - 6*zeta*q^155 + (-5*zeta + 5)*q^157 - 3*q^159 + (-2*zeta + 
    4)*q^161 + (11*zeta + 11)*q^163 + (7*zeta - 14)*q^167 + (10*zeta - 10)*q^169
    + (-4*zeta + 2)*q^171 + (15*zeta - 15)*q^173 - 2*q^175 + (-2*zeta + 1)*q^177
    + (20*zeta - 10)*q^179 + 5*zeta*q^181 + (zeta + 1)*q^183 + (-zeta - 
    10)*q^185 + 5*zeta*q^189 + (12*zeta - 6)*q^191 + (-24*zeta + 12)*q^193 + 
    3*q^195 + (-21*zeta + 21)*q^197 + (12*zeta - 6)*q^199 + (13*zeta - 13)*q^201
    + (4*zeta - 8)*q^203 + (9*zeta + 9)*q^205 + (-4*zeta - 4)*q^207 + 4*q^211 + 
    (-15*zeta + 15)*q^213 + 6*zeta*q^215 + (-2*zeta + 4)*q^217 - 2*zeta*q^219 + 
    3*q^221 - 8*q^223 + 4*zeta*q^225 + (11*zeta - 22)*q^227 + 13*zeta*q^229 + 
    6*q^233 + (-7*zeta - 7)*q^237 + (7*zeta + 7)*q^239 + (-17*zeta + 34)*q^241 +
    (-16*zeta + 16)*q^243 + (-12*zeta + 6)*q^245 + (-3*zeta + 3)*q^247 - 9*q^249
    + (-20*zeta + 10)*q^251 + 3*zeta*q^255 + (-3*zeta - 3)*q^257 + (-7*zeta + 
    4)*q^259 + (8*zeta + 8)*q^261 + 21*zeta*q^263 + (6*zeta - 3)*q^265 + 
    (-6*zeta + 3)*q^267 - 30*q^269 + (-7*zeta + 7)*q^271 + (2*zeta - 1)*q^273 + 
    (-9*zeta + 18)*q^277 + (-4*zeta - 4)*q^279 + (9*zeta + 9)*q^281 + (-17*zeta 
    + 34)*q^283 + 3*q^285 + (9*zeta - 9)*q^287 - 14*zeta*q^289 + (-4*zeta + 
    8)*q^291 + 9*zeta*q^293 - 3*q^295 - 6*zeta*q^299 + (2*zeta - 4)*q^301 - 
    6*zeta*q^303 + (-3*zeta + 3)*q^305 + 16*q^307 + (-10*zeta + 20)*q^309 + 
    (15*zeta + 15)*q^311 + (13*zeta + 13)*q^313 + (-2*zeta + 4)*q^315 + (15*zeta
    - 15)*q^317 + (9*zeta - 9)*q^321 + 3*q^323 + (4*zeta - 2)*q^325 + (-14*zeta 
    + 7)*q^327 + (3*zeta + 3)*q^331 + (6*zeta - 14)*q^333 + (13*zeta + 13)*q^335
    + 13*zeta*q^337 + (2*zeta - 1)*q^339 + 13*q^343 + (-6*zeta + 6)*q^345 + 
    (20*zeta - 10)*q^347 + (19*zeta - 19)*q^349 + (-5*zeta + 10)*q^351 + (5*zeta
    + 5)*q^353 + (-15*zeta - 15)*q^355 + (zeta - 2)*q^357 + 12*q^359 + (16*zeta 
    - 16)*q^361 - 11*zeta*q^363 + (2*zeta - 4)*q^365 - 7*zeta*q^367 + 18*q^369 -
    3*q^371 - 19*zeta*q^373 + (7*zeta - 14)*q^375 + 12*zeta*q^377 + (-7*zeta + 
    7)*q^379 + 11*q^381 + (-5*zeta + 10)*q^383 + (4*zeta + 4)*q^387 + (-9*zeta +
    18)*q^389 + (-6*zeta + 6)*q^391 + (-18*zeta + 9)*q^393 + (21*zeta - 
    21)*q^395 - 2*q^397 + (2*zeta - 1)*q^399 + (-24*zeta + 12)*q^401
f592 (this will take a while!!)
q + zeta*q^3 + (-zeta + 2)*q^5 + zeta*q^7 + (-2*zeta + 2)*q^9 + (-zeta + 2)*q^13
    + (zeta + 1)*q^15 + (zeta + 1)*q^17 + (-zeta + 2)*q^19 + (zeta - 1)*q^21 + 
    (-4*zeta + 2)*q^23 + (2*zeta - 2)*q^25 + 5*q^27 + (8*zeta - 4)*q^29 + 
    (-4*zeta + 2)*q^31 + (zeta + 1)*q^35 + (-4*zeta - 3)*q^37 + (zeta + 1)*q^39 
    + 9*zeta*q^41 + (4*zeta - 2)*q^43 + (-4*zeta + 2)*q^45 + (-6*zeta + 6)*q^49 
    + (2*zeta - 1)*q^51 + (3*zeta - 3)*q^53 + (zeta + 1)*q^57 + (-zeta - 1)*q^59
    + (-zeta + 2)*q^61 + 2*q^63 + (-3*zeta + 3)*q^65 + 13*zeta*q^67 + (-2*zeta +
    4)*q^69 - 15*zeta*q^71 - 2*q^73 - 2*q^75 + (7*zeta - 14)*q^79 - zeta*q^81 + 
    (9*zeta - 9)*q^83 + 3*q^85 + (4*zeta - 8)*q^87 + (-3*zeta - 3)*q^89 + (zeta 
    + 1)*q^91 + (-2*zeta + 4)*q^93 + (-3*zeta + 3)*q^95 + (-8*zeta + 4)*q^97 - 
    6*q^101 + (-20*zeta + 10)*q^103 + (2*zeta - 1)*q^105 + 9*zeta*q^107 + 
    (-7*zeta - 7)*q^109 + (-7*zeta + 4)*q^111 + (zeta + 1)*q^113 - 6*zeta*q^115 
    + (-4*zeta + 2)*q^117 + (2*zeta - 1)*q^119 - 11*q^121 + (9*zeta - 9)*q^123 +
    (14*zeta - 7)*q^125 + (-11*zeta + 11)*q^127 + (2*zeta - 4)*q^129 + (-9*zeta 
    - 9)*q^131 + (zeta + 1)*q^133 + (-5*zeta + 10)*q^135 - 18*q^137 + (5*zeta - 
    5)*q^139 + 12*zeta*q^145 + 6*q^147 - 6*q^149 - 19*zeta*q^151 + (-2*zeta + 
    4)*q^153 - 6*zeta*q^155 + (-5*zeta + 5)*q^157 - 3*q^159 + (-2*zeta + 
    4)*q^161 + (11*zeta + 11)*q^163 + (7*zeta - 14)*q^167 + (10*zeta - 10)*q^169
    + (-4*zeta + 2)*q^171 + (15*zeta - 15)*q^173 - 2*q^175 + (-2*zeta + 1)*q^177
    + (20*zeta - 10)*q^179 + 5*zeta*q^181 + (zeta + 1)*q^183 + (-zeta - 
    10)*q^185 + 5*zeta*q^189 + (12*zeta - 6)*q^191 + (-24*zeta + 12)*q^193 + 
    3*q^195 + (-21*zeta + 21)*q^197 + (12*zeta - 6)*q^199 + (13*zeta - 13)*q^201
    + (4*zeta - 8)*q^203 + (9*zeta + 9)*q^205 + (-4*zeta - 4)*q^207 + 4*q^211 + 
    (-15*zeta + 15)*q^213 + 6*zeta*q^215 + (-2*zeta + 4)*q^217 - 2*zeta*q^219 + 
    3*q^221 - 8*q^223 + 4*zeta*q^225 + (11*zeta - 22)*q^227 + 13*zeta*q^229 + 
    6*q^233 + (-7*zeta - 7)*q^237 + (7*zeta + 7)*q^239 + (-17*zeta + 34)*q^241 +
    (-16*zeta + 16)*q^243 + (-12*zeta + 6)*q^245 + (-3*zeta + 3)*q^247 - 9*q^249
    + (-20*zeta + 10)*q^251 + 3*zeta*q^255 + (-3*zeta - 3)*q^257 + (-7*zeta + 
    4)*q^259 + (8*zeta + 8)*q^261 + 21*zeta*q^263 + (6*zeta - 3)*q^265 + 
    (-6*zeta + 3)*q^267 - 30*q^269 + (-7*zeta + 7)*q^271 + (2*zeta - 1)*q^273 + 
    (-9*zeta + 18)*q^277 + (-4*zeta - 4)*q^279 + (9*zeta + 9)*q^281 + (-17*zeta 
    + 34)*q^283 + 3*q^285 + (9*zeta - 9)*q^287 - 14*zeta*q^289 + (-4*zeta + 
    8)*q^291 + 9*zeta*q^293 - 3*q^295 - 6*zeta*q^299 + (2*zeta - 4)*q^301 - 
    6*zeta*q^303 + (-3*zeta + 3)*q^305 + 16*q^307 + (-10*zeta + 20)*q^309 + 
    (15*zeta + 15)*q^311 + (13*zeta + 13)*q^313 + (-2*zeta + 4)*q^315 + (15*zeta
    - 15)*q^317 + (9*zeta - 9)*q^321 + 3*q^323 + (4*zeta - 2)*q^325 + (-14*zeta 
    + 7)*q^327 + (3*zeta + 3)*q^331 + (6*zeta - 14)*q^333 + (13*zeta + 13)*q^335
    + 13*zeta*q^337 + (2*zeta - 1)*q^339 + 13*q^343 + (-6*zeta + 6)*q^345 + 
    (20*zeta - 10)*q^347 + (19*zeta - 19)*q^349 + (-5*zeta + 10)*q^351 + (5*zeta
    + 5)*q^353 + (-15*zeta - 15)*q^355 + (zeta - 2)*q^357 + 12*q^359 + (16*zeta 
    - 16)*q^361 - 11*zeta*q^363 + (2*zeta - 4)*q^365 - 7*zeta*q^367 + 18*q^369 -
    3*q^371 - 19*zeta*q^373 + (7*zeta - 14)*q^375 + 12*zeta*q^377 + (-7*zeta + 
    7)*q^379 + 11*q^381 + (-5*zeta + 10)*q^383 + (4*zeta + 4)*q^387 + (-9*zeta +
    18)*q^389 + (-6*zeta + 6)*q^391 + (-18*zeta + 9)*q^393 + (21*zeta - 
    21)*q^395 - 2*q^397 + (2*zeta - 1)*q^399 + (-24*zeta + 12)*q^401 - 
    6*zeta*q^403 + (-zeta - 1)*q^405 + (zeta + 1)*q^409 - 18*zeta*q^411 + 
    (-2*zeta + 1)*q^413 + (18*zeta - 9)*q^415 - 5*q^417 + (33*zeta - 33)*q^419 +
    (-16*zeta + 8)*q^421 + (2*zeta - 4)*q^425 + (zeta + 1)*q^427 + (7*zeta - 
    14)*q^431 - 2*q^433 + (12*zeta - 12)*q^435 - 6*zeta*q^437 + (19*zeta - 
    38)*q^439 - 12*zeta*q^441 - 12*q^443 - 9*q^445 - 6*zeta*q^447 + (11*zeta - 
    22)*q^449 + (-19*zeta + 19)*q^453 + 3*q^455 + (-9*zeta + 18)*q^457 + (5*zeta
    + 5)*q^459 + (zeta + 1)*q^461 + (3*zeta - 6)*q^463 + (-6*zeta + 6)*q^465 + 
    (-44*zeta + 22)*q^467 + (13*zeta - 13)*q^469 + 5*q^471 + (4*zeta - 2)*q^475 
    + 6*zeta*q^477 + (7*zeta + 7)*q^479 + (-zeta - 10)*q^481 + (2*zeta + 
    2)*q^483 - 12*zeta*q^485 + (28*zeta - 14)*q^487 + (22*zeta - 11)*q^489 - 
    12*q^491 + (12*zeta - 12)*q^493 + (-15*zeta + 15)*q^497 + (3*zeta - 6)*q^499
    + (-7*zeta - 7)*q^501 + (-9*zeta - 9)*q^503 + (6*zeta - 12)*q^505 - 10*q^507
    + (39*zeta - 39)*q^509 - 2*zeta*q^511 + (-5*zeta + 10)*q^513 - 30*zeta*q^515
    - 15*q^519 - 15*zeta*q^521 + (-zeta + 2)*q^523 - 2*zeta*q^525 + (-6*zeta + 
    6)*q^527 + 11*q^529 + (2*zeta - 4)*q^531 + (9*zeta + 9)*q^533 + (9*zeta + 
    9)*q^535 + (10*zeta - 20)*q^537 + (-16*zeta + 8)*q^541 + (5*zeta - 5)*q^543 
    - 21*q^545 + (-44*zeta + 22)*q^547 + (-4*zeta + 2)*q^549 + 12*zeta*q^551 + 
    (-7*zeta - 7)*q^553 + (-11*zeta + 1)*q^555 + (5*zeta + 5)*q^557 + 
    6*zeta*q^559 + (-36*zeta + 18)*q^563 + 3*q^565 + (-zeta + 1)*q^567 + 
    (40*zeta - 20)*q^569 + (5*zeta - 5)*q^571 + (6*zeta - 12)*q^573 + (4*zeta + 
    4)*q^575 + (-19*zeta - 19)*q^577 + (-12*zeta + 24)*q^579 - 9*q^581 - 
    6*zeta*q^585 + (-5*zeta + 10)*q^587 - 6*zeta*q^589 + 21*q^591 + 30*q^593 + 
    3*zeta*q^595 + (6*zeta - 12)*q^597 - 3*zeta*q^599 + (-5*zeta + 5)*q^601 + 
    26*q^603 + (11*zeta - 22)*q^605 + (-5*zeta - 5)*q^607 + (-4*zeta - 4)*q^609 
    + (11*zeta - 11)*q^613 + (18*zeta - 9)*q^615 + (15*zeta - 15)*q^617 - 
    44*q^619 + (-20*zeta + 10)*q^621 + (-6*zeta + 3)*q^623 + 11*zeta*q^625 + 
    (-11*zeta + 1)*q^629 + (15*zeta + 15)*q^631 + 4*zeta*q^633 + (-22*zeta + 
    11)*q^635 + (-12*zeta + 6)*q^637 - 30*q^639 + (3*zeta - 3)*q^641 + (20*zeta 
    - 10)*q^643 + (6*zeta - 6)*q^645 + (-13*zeta + 26)*q^647 + (2*zeta + 
    2)*q^651 + (-21*zeta + 42)*q^653 - 27*q^655 + (4*zeta - 4)*q^657 - 
    27*zeta*q^659 + (-13*zeta + 26)*q^661 + 3*zeta*q^663 + 3*q^665 + 24*q^667 - 
    8*zeta*q^669 - 19*zeta*q^673 + (10*zeta - 10)*q^675 + 42*q^677 + (-4*zeta + 
    8)*q^679 + (-11*zeta - 11)*q^681 + (-17*zeta - 17)*q^683 + (18*zeta - 
    36)*q^685 + (13*zeta - 13)*q^687 + (6*zeta - 3)*q^689 + (17*zeta - 17)*q^691
    + (10*zeta - 5)*q^695 + (18*zeta - 9)*q^697 + 6*zeta*q^699 + (13*zeta + 
    13)*q^701 + (-zeta - 10)*q^703 - 6*zeta*q^707 + (8*zeta - 4)*q^709 + 
    (28*zeta - 14)*q^711 - 12*q^713 + (14*zeta - 7)*q^717 + (21*zeta - 21)*q^719
    + (-10*zeta + 20)*q^721 + (17*zeta + 17)*q^723 + (-8*zeta - 8)*q^725 + 
    (19*zeta - 38)*q^727 + 13*q^729 + (6*zeta - 6)*q^731 - 23*zeta*q^733 + 
    (-6*zeta + 12)*q^735 + 4*q^739 + 3*q^741 - 15*zeta*q^743 + (6*zeta - 
    12)*q^745 + 18*zeta*q^747 + (9*zeta - 9)*q^749 + 20*q^751 + (-10*zeta + 
    20)*q^753 + (-19*zeta - 19)*q^755 + (-3*zeta - 3)*q^757 + (-45*zeta + 
    45)*q^761 + (-14*zeta + 7)*q^763 + (-6*zeta + 6)*q^765 - 3*q^767 + (-24*zeta
    + 12)*q^769 + (-6*zeta + 3)*q^771 - 15*zeta*q^773 + (4*zeta + 4)*q^775 + 
    (-3*zeta + 7)*q^777 + (9*zeta + 9)*q^779 + (40*zeta - 20)*q^783 + (-10*zeta 
    + 5)*q^785 - 32*q^787 + (21*zeta - 21)*q^789 + (2*zeta - 1)*q^791 + (-3*zeta
    + 3)*q^793 + (3*zeta - 6)*q^795 + (21*zeta + 21)*q^797 + (6*zeta - 12)*q^801
    + (-6*zeta + 6)*q^805 - 30*zeta*q^807 + (11*zeta - 22)*q^809 + 49*zeta*q^811
    + 7*q^813 + 33*q^815 + 6*zeta*q^817 + (-2*zeta + 4)*q^819 - 3*zeta*q^821 + 
    (-47*zeta + 47)*q^823 + (-17*zeta + 34)*q^827 + (21*zeta + 21)*q^829 + 
    (9*zeta + 9)*q^831 + (-6*zeta + 12)*q^833 + (21*zeta - 21)*q^835 + (-20*zeta
    + 10)*q^837 + (9*zeta - 9)*q^839 - 19*q^841 + (18*zeta - 9)*q^843 + (20*zeta
    - 10)*q^845 - 11*zeta*q^847 + (17*zeta + 17)*q^849 + (20*zeta - 22)*q^851 + 
    (25*zeta + 25)*q^853 - 6*zeta*q^855 + (56*zeta - 28)*q^857 + (-12*zeta + 
    6)*q^859 - 9*q^861 + (-39*zeta + 39)*q^863 + (30*zeta - 15)*q^865 + 
    (-14*zeta + 14)*q^867 + (13*zeta + 13)*q^871 + (-8*zeta - 8)*q^873 + (7*zeta
    - 14)*q^875 - 2*q^877 + (9*zeta - 9)*q^879 - 3*zeta*q^881 + (-29*zeta + 
    58)*q^883 - 3*zeta*q^885 + 48*q^887 + 11*q^889 + 30*zeta*q^895 + (-6*zeta + 
    6)*q^897 + 24*q^899 + (3*zeta - 6)*q^901 + (-2*zeta - 2)*q^903 + (5*zeta + 
    5)*q^905 + (-21*zeta + 42)*q^907 + (12*zeta - 12)*q^909 + (-68*zeta + 
    34)*q^911 + 3*q^915 + (-18*zeta + 9)*q^917 + (4*zeta - 2)*q^919 + 
    16*zeta*q^921 + (-15*zeta - 15)*q^923 + (-6*zeta + 14)*q^925 + (-20*zeta - 
    20)*q^927 - 39*zeta*q^929 + (-12*zeta + 6)*q^931 + (30*zeta - 15)*q^933 + 
    (59*zeta - 59)*q^937 + (26*zeta - 13)*q^939 + (-45*zeta + 45)*q^941 + 
    (-18*zeta + 36)*q^943 + (5*zeta + 5)*q^945 + (15*zeta + 15)*q^947 + (2*zeta 
    - 4)*q^949 - 15*q^951 + (-9*zeta + 9)*q^953 + 18*zeta*q^955 - 18*zeta*q^959 
    + 19*q^961 + 18*q^963 - 36*zeta*q^965 + (15*zeta - 30)*q^967 + 3*zeta*q^969 
    + (-3*zeta + 3)*q^971 - 5*q^973 + (2*zeta - 4)*q^975 + (25*zeta + 25)*q^977 
    + (14*zeta - 28)*q^981 + (-3*zeta + 3)*q^983 + (-42*zeta + 21)*q^985 + 
    12*q^989 + (44*zeta - 22)*q^991 + (6*zeta - 3)*q^993 + 18*zeta*q^995 + 
    (21*zeta + 21)*q^997 + (-20*zeta - 15)*q^999 - 3*zeta*q^1003 + (26*zeta - 
    13)*q^1005 + (6*zeta - 3)*q^1007 + 38*q^1009 + (13*zeta - 13)*q^1011 + 
    (-32*zeta + 16)*q^1013 + (12*zeta - 12)*q^1015 + (-2*zeta + 4)*q^1017 + 
    (31*zeta + 31)*q^1019 + (-23*zeta - 23)*q^1021 - 18*q^1025 + (21*zeta - 
    21)*q^1027 + 13*zeta*q^1029 + (-29*zeta + 58)*q^1031 - 59*zeta*q^1033 - 
    12*q^1035 + 3*q^1037 - 47*zeta*q^1039 + (10*zeta - 20)*q^1041 - 
    6*zeta*q^1043 - 19*q^1047 + (19*zeta - 38)*q^1049 + (-5*zeta - 5)*q^1051 + 
    (-zeta - 1)*q^1053 + (-4*zeta + 8)*q^1055 + (-19*zeta + 19)*q^1057 + 
    (10*zeta - 5)*q^1059 + (3*zeta - 3)*q^1061 - 44*q^1063 + (-30*zeta + 
    15)*q^1065 - 11*zeta*q^1069 + (2*zeta + 2)*q^1071 + (-40*zeta + 44)*q^1073 +
    (-4*zeta - 4)*q^1075 + 12*zeta*q^1077 + (18*zeta - 9)*q^1079 - 16*q^1083 + 
    (-6*zeta + 6)*q^1085 + (-52*zeta + 26)*q^1087 + (22*zeta - 22)*q^1089 + 
    (27*zeta - 54)*q^1091 + (-3*zeta - 3)*q^1093 + (-2*zeta - 2)*q^1095 + 
    (-29*zeta + 58)*q^1097 + 5*q^1099 + (-7*zeta + 7)*q^1101 - 51*zeta*q^1103 + 
    (-3*zeta + 6)*q^1105 + 45*zeta*q^1107 - 30*q^1109 - 3*zeta*q^1113 + (8*zeta 
    - 16)*q^1115 - 11*zeta*q^1117 + (-19*zeta + 19)*q^1119 - 3*q^1121 + (3*zeta 
    - 6)*q^1123 + (14*zeta + 14)*q^1125 + (-12*zeta - 12)*q^1127 + (-zeta + 
    2)*q^1129 + (12*zeta - 12)*q^1131 + (33*zeta - 33)*q^1135 + 7*q^1137 + 
    (26*zeta - 13)*q^1139 + (22*zeta - 11)*q^1141 - 22*zeta*q^1143 + (13*zeta + 
    13)*q^1145 + (20*zeta - 22)*q^1147 + (5*zeta + 5)*q^1149 + 45*zeta*q^1151 + 
    (40*zeta - 20)*q^1153 - 9*q^1157 + (-3*zeta + 3)*q^1159 + (20*zeta - 
    10)*q^1161 + (45*zeta - 45)*q^1163 + (-6*zeta + 12)*q^1165 + (9*zeta + 
    9)*q^1167 + (-7*zeta - 7)*q^1169 + (-5*zeta + 10)*q^1171 + 6*q^1173 + 
    (18*zeta - 36)*q^1179 - 51*zeta*q^1181 - 10*q^1183 - 21*q^1185 - 
    3*zeta*q^1187 + (36*zeta - 72)*q^1189 - 2*zeta*q^1191 + (3*zeta - 3)*q^1193 
    + 21*q^1195 + (-2*zeta + 4)*q^1197 + (-3*zeta - 3)*q^1201 + (-12*zeta + 
    24)*q^1203 + (-51*zeta + 51)*q^1205 + (-30*zeta + 15)*q^1207 + (-6*zeta + 
    6)*q^1209 - 15*q^1211 + (-32*zeta + 16)*q^1213 + (-32*zeta + 16)*q^1215 - 
    27*zeta*q^1217 + (6*zeta + 6)*q^1219 + (27*zeta + 27)*q^1223 + 
    12*zeta*q^1225 + (2*zeta - 1)*q^1227 + (48*zeta - 24)*q^1229 - 56*q^1231 + 
    (36*zeta - 36)*q^1233 + (-6*zeta + 3)*q^1235 + (23*zeta - 23)*q^1237 + 
    (-zeta + 2)*q^1239 + (-2*zeta - 2)*q^1241 + (9*zeta - 18)*q^1245 - 24*q^1247
    + (55*zeta - 55)*q^1249 + 10*zeta*q^1251 + (10*zeta - 20)*q^1253 - 
    30*zeta*q^1255 - 33*q^1257 + 36*q^1259 - 12*zeta*q^1261 + (-8*zeta + 
    16)*q^1263 + (5*zeta - 5)*q^1267 + (-18*zeta + 36)*q^1271 + (13*zeta + 
    13)*q^1273 + (-2*zeta - 2)*q^1275 + (15*zeta - 30)*q^1277 + (5*zeta - 
    5)*q^1279 + (2*zeta - 1)*q^1281 + (9*zeta - 9)*q^1283 - 9*q^1285 + (-56*zeta
    + 28)*q^1289 - 59*zeta*q^1291 + (-7*zeta - 7)*q^1293 + (-11*zeta + 1)*q^1295
    + (21*zeta + 21)*q^1297 - 2*zeta*q^1299 + (48*zeta - 24)*q^1301 + (12*zeta -
    6)*q^1303 + 24*q^1305 + (9*zeta - 9)*q^1307 + (-6*zeta + 6)*q^1311 + (6*zeta
    - 12)*q^1313 + (21*zeta + 21)*q^1315 + (-19*zeta - 19)*q^1317 + (15*zeta - 
    30)*q^1319 - 2*q^1321 + (-30*zeta + 30)*q^1323 - 6*zeta*q^1325 + (-5*zeta + 
    10)*q^1327 - 12*zeta*q^1329 + 12*q^1333 - 9*zeta*q^1335 + (6*zeta - 
    12)*q^1337 - 30*zeta*q^1339 + (12*zeta - 12)*q^1341 - 21*q^1343 + (30*zeta -
    60)*q^1345 + (-11*zeta - 11)*q^1347 + (-15*zeta - 15)*q^1349 + (-12*zeta + 
    24)*q^1351 + (-14*zeta + 7)*q^1355 + (6*zeta - 6)*q^1357 - 38*q^1359 + 
    (8*zeta - 4)*q^1361 + 3*zeta*q^1365 + (-21*zeta - 21)*q^1367 + (40*zeta - 
    7)*q^1369 + (9*zeta + 9)*q^1371 - 39*zeta*q^1373 + (-2*zeta + 1)*q^1377 + 
    21*q^1379 + (31*zeta - 31)*q^1381 + (2*zeta - 1)*q^1383 + (-27*zeta + 
    27)*q^1385 + (2*zeta - 4)*q^1387 + (-3*zeta - 3)*q^1389 + (9*zeta + 
    9)*q^1391 + (6*zeta - 12)*q^1393 - 12*q^1395 - 43*zeta*q^1399 + (-22*zeta + 
    44)*q^1401 - 6*zeta*q^1403 + 27*q^1405 - 13*q^1407 - 63*zeta*q^1409 + 
    (9*zeta - 18)*q^1411 - 10*zeta*q^1413 + (-51*zeta + 51)*q^1415 - 21*q^1417 +
    (24*zeta + 24)*q^1421 + (15*zeta + 15)*q^1423 + (2*zeta - 4)*q^1425 + 
    (33*zeta - 33)*q^1427 + (-32*zeta + 16)*q^1429 + (15*zeta - 15)*q^1431 - 
    18*q^1433 + (18*zeta - 9)*q^1435 + (14*zeta - 7)*q^1437 + 9*zeta*q^1439 + 
    (-11*zeta + 1)*q^1443 + (-14*zeta - 14)*q^1445 + 13*zeta*q^1447 + (-8*zeta +
    4)*q^1449 + (-60*zeta + 30)*q^1451 + 10*q^1453 + (-12*zeta + 12)*q^1455 + 
    (61*zeta - 61)*q^1459 + (14*zeta - 28)*q^1461 + (9*zeta + 9)*q^1465 + 
    (-22*zeta + 44)*q^1467 + 3*q^1469 + (-11*zeta + 11)*q^1471 - 12*zeta*q^1473 
    + (-2*zeta + 4)*q^1475 + 4*zeta*q^1477 - 12*q^1479 + 54*q^1481 + 
    41*zeta*q^1483 + 69*zeta*q^1487 + (-49*zeta + 49)*q^1489 + 15*q^1491 + 
    (-9*zeta + 18)*q^1493 + (-6*zeta - 6)*q^1495 + (-3*zeta - 3)*q^1497 + 
    (7*zeta - 14)*q^1499 + (21*zeta - 21)*q^1501 + (28*zeta - 14)*q^1503 + 
    (6*zeta - 6)*q^1505 + (-18*zeta + 9)*q^1509 + (44*zeta - 22)*q^1511 - 
    9*zeta*q^1513 + (-6*zeta - 6)*q^1515 + (-63*zeta + 36)*q^1517 + (-12*zeta - 
    12)*q^1519 + 20*zeta*q^1521 + (-4*zeta + 2)*q^1523 + (4*zeta - 2)*q^1525 - 
    39*q^1527 + (36*zeta - 18)*q^1531 + (-2*zeta + 2)*q^1533 + (-16*zeta + 
    32)*q^1535 + (-12*zeta - 12)*q^1537 + (-zeta - 1)*q^1539 + (-26*zeta + 
    52)*q^1541 - 64*q^1543 + (-30*zeta + 30)*q^1545 + 3*zeta*q^1547 + (-37*zeta 
    + 74)*q^1549 + 54*q^1553 + 45*q^1555 + 30*zeta*q^1557 + (-45*zeta + 
    90)*q^1559 - 8*zeta*q^1561 + (-15*zeta + 15)*q^1563 + 39*q^1565 + (15*zeta -
    30)*q^1567 + (zeta + 1)*q^1569 + (-37*zeta - 37)*q^1571 + (11*zeta - 
    22)*q^1573 + (4*zeta - 4)*q^1575 + (18*zeta - 9)*q^1577 + (41*zeta - 
    41)*q^1579 + 6*q^1581 + (-4*zeta + 2)*q^1583 + (30*zeta - 15)*q^1585 + 
    11*zeta*q^1587 + (-11*zeta - 11)*q^1589 + (-20*zeta + 22)*q^1591 + (-5*zeta 
    - 5)*q^1593 + (-88*zeta + 44)*q^1597 + (18*zeta - 9)*q^1599 - 42*q^1601 + 
    (13*zeta - 13)*q^1603 + (18*zeta - 9)*q^1605 + (33*zeta - 33)*q^1607 + 
    (15*zeta - 30)*q^1609 + (20*zeta + 20)*q^1611 + (37*zeta + 37)*q^1613 + 
    (-3*zeta + 6)*q^1615 + (-51*zeta + 51)*q^1619 + 65*zeta*q^1621 + (-8*zeta + 
    16)*q^1623 + 21*zeta*q^1625 + 20*q^1627 + 10*q^1629 + 6*zeta*q^1631 + 
    (30*zeta - 60)*q^1633 - 21*zeta*q^1635 + (15*zeta - 15)*q^1637 + (-22*zeta +
    44)*q^1641 + (6*zeta + 6)*q^1643 + (-5*zeta + 10)*q^1647 + (-12*zeta + 
    12)*q^1649 + (-22*zeta + 11)*q^1651 + (12*zeta - 12)*q^1653 + 9*q^1655 + 
    (-56*zeta + 28)*q^1657 + (-14*zeta + 7)*q^1659 + (7*zeta + 7)*q^1663 + 
    (20*zeta - 22)*q^1665 + (35*zeta + 35)*q^1667 - 23*zeta*q^1669 + (10*zeta - 
    5)*q^1671 + (14*zeta - 7)*q^1673 - 26*q^1675 + (6*zeta - 6)*q^1677 + (8*zeta
    - 4)*q^1679 + (40*zeta - 40)*q^1681 + (13*zeta + 13)*q^1685 + (17*zeta + 
    17)*q^1687 + (-18*zeta + 36)*q^1689 - 9*q^1691 + (23*zeta - 23)*q^1693 + 
    3*zeta*q^1695 + (35*zeta - 70)*q^1697 + 49*zeta*q^1699 + 16*q^1701 - 
    27*q^1703 + (20*zeta - 40)*q^1707 + 57*zeta*q^1709 + (-12*zeta + 12)*q^1711 
    - 5*q^1713 + (-13*zeta + 26)*q^1715 + (-6*zeta - 6)*q^1717 + (12*zeta + 
    12)*q^1719 + (-21*zeta + 42)*q^1721 + (-43*zeta + 43)*q^1723 + (8*zeta - 
    4)*q^1725 + 3*q^1729 + (-38*zeta + 19)*q^1731 + (16*zeta - 8)*q^1733 + 
    30*zeta*q^1735 + (-24*zeta - 24)*q^1737 + (17*zeta + 17)*q^1741 - 
    9*zeta*q^1743 + (38*zeta - 19)*q^1745 + (-4*zeta + 2)*q^1747 + (-30*zeta + 
    30)*q^1751 + (-56*zeta + 28)*q^1753 + (-15*zeta + 15)*q^1755 + (-10*zeta + 
    20)*q^1757 + (-13*zeta - 13)*q^1759 + (5*zeta + 5)*q^1761 + (18*zeta - 
    36)*q^1763 + 15*q^1765 + (-6*zeta + 6)*q^1767 + 12*zeta*q^1769 - 
    42*zeta*q^1773 + 30*q^1775 + 14*q^1777 + 30*zeta*q^1779 + (18*zeta - 
    36)*q^1781 + 53*zeta*q^1783 + (3*zeta - 3)*q^1785 + 36*q^1787 + (11*zeta - 
    22)*q^1789 + (12*zeta + 12)*q^1791 + (-12*zeta + 24)*q^1795 + (-3*zeta + 
    3)*q^1797 + (-6*zeta + 3)*q^1799 + (23*zeta - 23)*q^1801 + 5*q^1803 + 
    (32*zeta - 16)*q^1805 + (10*zeta - 5)*q^1807 + 65*zeta*q^1809 + (-29*zeta - 
    29)*q^1811 + (18*zeta - 42)*q^1813 + (-11*zeta - 11)*q^1815 + 42*zeta*q^1817
    + (18*zeta - 9)*q^1819 + (-10*zeta + 5)*q^1821 + 72*q^1823 + (-4*zeta + 
    4)*q^1825 + (16*zeta - 8)*q^1827 + (6*zeta - 6)*q^1829 + (-33*zeta + 
    66)*q^1831 + (-7*zeta - 7)*q^1835 - 11*q^1839 + (21*zeta - 21)*q^1841 - 
    12*zeta*q^1843 + (-18*zeta + 36)*q^1845 - 51*zeta*q^1847 + 31*q^1849 - 
    15*q^1851 - 21*zeta*q^1853 + (3*zeta - 6)*q^1855 - 44*zeta*q^1857 - 
    10*q^1861 + (2*zeta - 4)*q^1863 + (-19*zeta - 19)*q^1865 + (15*zeta + 
    15)*q^1867 + (-3*zeta + 6)*q^1869 + (-39*zeta + 39)*q^1871 + (24*zeta - 
    12)*q^1873 + (11*zeta - 11)*q^1875 + 18*q^1877 + (12*zeta - 6)*q^1879 - 
    30*zeta*q^1883 + (12*zeta + 12)*q^1885 + (-10*zeta + 11)*q^1887 + (-35*zeta 
    - 35)*q^1889 - 6*zeta*q^1891 + (30*zeta - 15)*q^1893 + (-14*zeta + 7)*q^1895
    + 7*q^1897 + (-8*zeta + 8)*q^1899 + (-11*zeta + 22)*q^1905 + (15*zeta + 
    15)*q^1907 + (18*zeta + 18)*q^1909 + (-6*zeta + 12)*q^1911 + 30*q^1913 + 
    (-15*zeta + 15)*q^1915 - 75*zeta*q^1917 + (6*zeta - 12)*q^1919 + 
    3*zeta*q^1921 - 3*q^1923 + (10*zeta - 20)*q^1929 - 75*zeta*q^1931 + (-5*zeta
    + 5)*q^1933 + 12*q^1935 + (6*zeta - 12)*q^1937 + (9*zeta + 9)*q^1939 + 
    (13*zeta + 13)*q^1941 + (52*zeta - 104)*q^1943 + (-27*zeta + 27)*q^1945 + 
    (27*zeta - 27)*q^1949 + 8*q^1951 + (-8*zeta + 4)*q^1953 + (-12*zeta + 
    6)*q^1955 - 30*zeta*q^1957 + (21*zeta + 21)*q^1959 + (-9*zeta + 21)*q^1961 +
    (-19*zeta - 19)*q^1963 - 27*zeta*q^1965 + (18*zeta - 9)*q^1967 - 10*q^1971 +
    (3*zeta - 3)*q^1973 + (-28*zeta + 14)*q^1975 + (-27*zeta + 27)*q^1977 + 
    (31*zeta - 62)*q^1979 + (17*zeta + 17)*q^1981 + (13*zeta + 13)*q^1983 + 
    (2*zeta - 4)*q^1985 + 68*q^1987 + (-6*zeta + 6)*q^1989 + (-17*zeta + 
    34)*q^1993 + 3*zeta*q^1995 - 18*q^1997 - 40*q^1999 + 24*zeta*q^2001 + 
    (43*zeta - 86)*q^2003 - 36*zeta*q^2005 + (16*zeta - 16)*q^2007 + 54*q^2009 +
    (39*zeta - 78)*q^2011 + (-6*zeta - 6)*q^2015 + (19*zeta - 38)*q^2017 + 
    (-19*zeta + 19)*q^2019 + (-14*zeta + 14)*q^2023 + 2*q^2025 + (-60*zeta + 
    30)*q^2027 + (-80*zeta + 40)*q^2029 + 42*zeta*q^2031 + (9*zeta + 9)*q^2033 +
    (4*zeta + 4)*q^2037 + 69*zeta*q^2039 + (-10*zeta + 5)*q^2041 + (44*zeta - 
    22)*q^2043 + 3*q^2045 + (18*zeta - 18)*q^2047 + (-34*zeta + 17)*q^2049 + 
    (9*zeta - 9)*q^2051 + (-25*zeta + 50)*q^2053 + (-18*zeta - 18)*q^2055 + 
    (-11*zeta - 11)*q^2057 + (-60*zeta + 120)*q^2059 + 26*q^2061 + (33*zeta - 
    33)*q^2063 - 3*zeta*q^2065 + (3*zeta - 6)*q^2067 + 33*zeta*q^2069 - 
    21*q^2071 - 17*q^2073 - 18*zeta*q^2075 + (-26*zeta + 52)*q^2077 + (15*zeta -
    15)*q^2081 - 4*q^2083 + (5*zeta - 10)*q^2085 + (7*zeta + 7)*q^2087 + (9*zeta
    + 9)*q^2089 + (9*zeta - 18)*q^2091 + (-6*zeta + 6)*q^2093 + (66*zeta - 
    33)*q^2095 + (-12*zeta + 12)*q^2097 + 24*q^2099 + (26*zeta - 13)*q^2103 - 
    24*zeta*q^2105 + (12*zeta + 12)*q^2107 + (-11*zeta + 1)*q^2109 + (-zeta - 
    1)*q^2111 + zeta*q^2113 + (-16*zeta + 8)*q^2117 + 33*q^2119 + (-6*zeta + 
    6)*q^2121 + (21*zeta - 21)*q^2125 + (4*zeta - 8)*q^2127 + (zeta + 1)*q^2129 
    + (-37*zeta - 37)*q^2131 + (35*zeta - 70)*q^2133 + 3*q^2135 + (-85*zeta + 
    85)*q^2137 - 12*zeta*q^2139 + (27*zeta - 54)*q^2141 + 13*zeta*q^2143 + 
    3*q^2147 + 16*zeta*q^2149 + (-14*zeta + 28)*q^2151 + 81*zeta*q^2153 + 
    (21*zeta - 21)*q^2155 - 21*q^2157 + (-11*zeta + 22)*q^2159 + (5*zeta + 
    5)*q^2161 + (10*zeta + 10)*q^2163 + (2*zeta - 4)*q^2165 + (-68*zeta + 
    34)*q^2169 + (21*zeta - 21)*q^2171 - 27*q^2173 + (-16*zeta + 8)*q^2175 + 
    (30*zeta - 15)*q^2177 - 79*zeta*q^2179 + (-19*zeta - 19)*q^2181 + (11*zeta -
    1)*q^2183 + (-6*zeta - 6)*q^2185 - 35*zeta*q^2187 + (26*zeta - 13)*q^2191 - 
    6*q^2193 + (57*zeta - 57)*q^2195 + (46*zeta - 23)*q^2197 + (-23*zeta + 
    23)*q^2199 + (30*zeta - 60)*q^2201 + (-5*zeta - 5)*q^2203 + (-12*zeta - 
    12)*q^2205 + (35*zeta - 70)*q^2207 - 47*q^2209 + 45*zeta*q^2213 + (12*zeta -
    24)*q^2215 + 4*zeta*q^2217 - 15*q^2219 - 62*q^2221 - 6*zeta*q^2223 + 
    (-6*zeta + 12)*q^2225 - 27*zeta*q^2227 + (-15*zeta + 15)*q^2229 - 24*q^2231 
    + (-6*zeta - 6)*q^2235 + (13*zeta + 13)*q^2237 + (15*zeta - 30)*q^2239 + 
    (45*zeta - 45)*q^2241 + (-76*zeta + 38)*q^2243 + (33*zeta - 33)*q^2245 - 
    9*q^2247 + (30*zeta - 15)*q^2249 + (-44*zeta + 22)*q^2251 + 20*zeta*q^2253 +
    (-zeta - 10)*q^2257 + (-20*zeta - 20)*q^2259 + 3*zeta*q^2261 + (8*zeta - 
    4)*q^2263 + (-38*zeta + 19)*q^2265 + 24*q^2267 + (-77*zeta + 77)*q^2269 + 
    (-6*zeta + 3)*q^2271 + (39*zeta - 39)*q^2273 + (2*zeta - 4)*q^2275 + 
    (-6*zeta - 6)*q^2279 + (11*zeta - 22)*q^2281 + 45*q^2283 + (-27*zeta + 
    27)*q^2285 + 49*zeta*q^2287 + (-7*zeta + 14)*q^2289 - 84*zeta*q^2291 - 
    10*q^2293 + 15*q^2295 + 33*zeta*q^2297 + (11*zeta - 22)*q^2299 - 
    3*zeta*q^2301 + 3*q^2305 + (-12*zeta + 24)*q^2307 + (-31*zeta - 31)*q^2309 +
    (27*zeta + 27)*q^2311 + (6*zeta - 12)*q^2313 + (9*zeta - 9)*q^2315 + (6*zeta
    - 3)*q^2317 + (-15*zeta + 15)*q^2319 + (24*zeta - 12)*q^2323 + (8*zeta - 
    4)*q^2325 + 30*zeta*q^2327 + (-18*zeta - 18)*q^2329 + (-8*zeta - 6)*q^2331 +
    (-31*zeta - 31)*q^2333 - 66*zeta*q^2335 + (18*zeta - 9)*q^2337 + (-92*zeta +
    46)*q^2339 - 14*q^2341 + (26*zeta - 13)*q^2345 + (-67*zeta + 67)*q^2347 + 
    (-4*zeta + 8)*q^2349 + (-37*zeta - 37)*q^2351 + (5*zeta + 5)*q^2353 + 
    (-5*zeta + 10)*q^2355 - 78*q^2357 + (13*zeta - 13)*q^2359 - 32*zeta*q^2361 +
    (5*zeta - 10)*q^2363 + 42*q^2367 - 60*q^2369 - 19*zeta*q^2371 + (zeta - 
    2)*q^2373 + 21*zeta*q^2375 + (-49*zeta + 49)*q^2377 + 3*q^2379 + (7*zeta - 
    14)*q^2381 + (47*zeta + 47)*q^2383 + (6*zeta + 6)*q^2385 + (35*zeta - 
    35)*q^2389 + (42*zeta - 21)*q^2391 + (39*zeta - 39)*q^2393 + 21*q^2395 + 
    (60*zeta - 30)*q^2399 - 29*zeta*q^2401 + (-15*zeta - 15)*q^2403 + (9*zeta - 
    21)*q^2405 + (-36*zeta - 36)*q^2407 + (-44*zeta + 22)*q^2411 + (-22*zeta + 
    11)*q^2413 + 6*q^2415 + (-57*zeta + 57)*q^2417 + (-18*zeta + 9)*q^2419 + 
    (60*zeta - 60)*q^2421 + (31*zeta - 62)*q^2423 + (8*zeta + 8)*q^2425 + 
    (-11*zeta - 11)*q^2427 + (10*zeta - 20)*q^2429 + (49*zeta - 49)*q^2433 + 
    42*zeta*q^2435 + (39*zeta - 78)*q^2437 - 14*zeta*q^2439 - 42*q^2441 - 
    19*q^2443 + 33*zeta*q^2445 + (43*zeta - 86)*q^2447 + 42*zeta*q^2449 + 
    (6*zeta - 6)*q^2451 + (12*zeta - 24)*q^2455 + (5*zeta + 5)*q^2457 + (11*zeta
    + 11)*q^2459 + (-18*zeta + 36)*q^2461 + (-3*zeta + 3)*q^2463 + (24*zeta - 
    12)*q^2465 + (13*zeta - 13)*q^2467 + 47*q^2469 + (10*zeta - 5)*q^2471 + 
    (-56*zeta + 28)*q^2473 + (9*zeta + 9)*q^2477 + (-91*zeta + 52)*q^2479 + 
    (17*zeta + 17)*q^2481 + 18*zeta*q^2483 + (-30*zeta + 15)*q^2485 + (42*zeta -
    21)*q^2487 - 27*q^2489 + (-36*zeta + 18)*q^2493 + (9*zeta - 9)*q^2495 + 
    (6*zeta + 6)*q^2499 + (9*zeta + 9)*q^2501 + (3*zeta - 6)*q^2503 - 21*q^2505 
    + (42*zeta - 42)*q^2507 - 36*zeta*q^2509 + (2*zeta - 4)*q^2511 + 
    12*zeta*q^2513 - 27*q^2515 - 9*q^2517 + (-41*zeta + 82)*q^2521 - 
    19*zeta*q^2523 + (-12*zeta + 12)*q^2525 - 16*q^2527 + (-18*zeta + 36)*q^2529
    + (-9*zeta - 9)*q^2531 + (-6*zeta - 6)*q^2533 + (10*zeta - 20)*q^2535 + 
    (-6*zeta + 6)*q^2537 + (12*zeta - 6)*q^2539 + (-11*zeta + 11)*q^2541 + 
    24*q^2543 + (78*zeta - 39)*q^2545 + (-68*zeta + 34)*q^2547 - 75*zeta*q^2549 
    + (19*zeta + 19)*q^2551 + (-2*zeta - 20)*q^2553 + (-2*zeta - 2)*q^2555 + 
    77*zeta*q^2557 + (50*zeta - 25)*q^2559 + (-42*zeta + 21)*q^2561 + (-15*zeta 
    + 15)*q^2565 + (-38*zeta + 19)*q^2567 + (-7*zeta + 7)*q^2569 + (28*zeta - 
    56)*q^2571 + (18*zeta + 18)*q^2573 + (20*zeta + 20)*q^2575 + (-6*zeta + 
    12)*q^2577 + 84*q^2579 + (-36*zeta + 36)*q^2581 + 18*zeta*q^2583 + 
    18*zeta*q^2587 + 39*q^2589 - 36*q^2591 + 77*zeta*q^2593 + (15*zeta - 
    30)*q^2595 + 18*zeta*q^2597 + (-6*zeta + 6)*q^2599 - 28*q^2601 + (18*zeta - 
    36)*q^2603 + (-15*zeta - 15)*q^2605 + (-45*zeta + 90)*q^2609
DONE!!!
Saving Magma state to "valentine.s"

Total time: 2587.399 seconds