A nonlift newform in S8(K(16))+

(Filename: eigs/eig-plus-8-16-4.html)

FORMULA FOR THE EIGENFORM  f
with 38−3λ3 = 16*(-54 + 7*α),
where throughout this wepage, α is taken to have minimal polynomial  -33 + x^2
Note that T(3) is the Hecke operator under the scalar-invariant slash and λ3 is the corresponding eigenvalue.
The eigenform   f  has the formula
    f = Σi=16 bi Grit(φi) + Σi=010 ci T(3)i g
where g is the Borcherds product that helped span the space S8(K(16))+ and where φi are jacobi forms in J8,16cusp given by the following table.
φ1 TB(8;1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4)|W2
φ2 TB(8;1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,5)|W2
φ3 TB(8;1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4)|W2
φ4 TB(8;1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,5)|W2
φ5 TB(8;1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3)|W2
φ6 TB(8;2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4)|W3
Here is a table of the coefficients bi and ci.
b1 (-30731991673814659161 - 5969721079592185159*α)/28118503897344000
b2 (3158422330961439 + 615906447551681*α)/1041426070272
b3 (-48696267433694203881 - 9454945802794838839*α)/7029625974336000
b4 (14083840089487515033 + 2761938670828984327*α)/1874566926489600
b5 (-866509558324601103 - 158502458838450257*α)/1874566926489600
b6 (8393019022825911 + 1646335494221309*α)/24713528816025
c0 (37848*(8408543 + 1497313*α))/21524183
c1 (243*(13314935227 + 2405809845*α))/150669281
c2 (19683*(-165184195 - 11507869*α))/4821416992
c3 (-17537553*(1354951 + 256185*α))/19285667968
c4 (129140163*(-249843 - 50797*α))/308570687488
c5 0
c6 0
c7 0
c8 0
c9 0
c10 0

COEFFICIENTS OF f  (return to top)
Use the notation
    [a b c ]=
 
a b
b c
 
Here is a list of some Fourier coefficients of f.

2udet(2u)a(u, f)
[4 -53 704]7(5*(-393 + 88*α)*(393 + 88*α))/101103
[8 -89 992]15((393 + 88*α)*(-31923 + 3032*α))/101103
[4 -25 160]15-((393 + 88*α)*(-32097 + 4100*α))/101103
[12 -109 992]23-((393 + 88*α)*(-81937 + 12516*α))/33701
[6 -13 32]23-((393 + 88*α)*(-81937 + 12516*α))/33701
[6 -19 64]23((393 + 88*α)*(-501705 + 83528*α))/101103
[14 -42 128]28(20*(393 + 88*α)*(-4141 + 1013*α))/33701
[14 -70 352]28(-20*(393 + 88*α)*(-4141 + 1013*α))/33701
[8 -42 224]28(20*(393 + 88*α)*(-4141 + 1013*α))/33701
[8 -106 1408]28(-20*(393 + 88*α)*(-4141 + 1013*α))/33701
[16 -113 800]31(-2*(393 + 88*α)*(-239661 + 25366*α))/101103
[8 -113 1600]31(-2*(393 + 88*α)*(-239661 + 25366*α))/101103
[14 -47 160]31(-2*(393 + 88*α)*(154821 + 320*α))/101103
[20 -101 512]39-((393 + 88*α)*(-1405923 + 334364*α))/101103
[10 -91 832]39393 + 88*α
[10 -101 1024]39393 + 88*α
[8 -27 96]39((393 + 88*α)*(-2292057 + 455608*α))/101103
[24 -73 224]47(2*(393 + 88*α)*(-1029195 + 206788*α))/101103
[12 -73 448]47(-6*(393 + 88*α)*(-815 + 354*α))/33701
[4 9 32]47(2*(393 + 88*α)*(-1029195 + 206788*α))/101103
[8 -73 672]47(-6*(393 + 88*α)*(-815 + 354*α))/33701
[16 -55 192]47(-2*(393 + 88*α)*(-397851 + 82912*α))/33701
[2 4 32]48(56*(393 + 88*α)*(-22161 + 4705*α))/101103
[26 76 224]48(-56*(393 + 88*α)*(-22161 + 4705*α))/101103
[6 12 32]48(-56*(393 + 88*α)*(-22161 + 4705*α))/101103
[14 36 96]48(56*(393 + 88*α)*(-22161 + 4705*α))/101103
[2 3 32]55(7*(393 + 88*α)*(-181115 + 40212*α))/33701
[14 -29 64]55-((393 + 88*α)*(91025 + 38616*α))/33701
[14 -99 704]55-((393 + 88*α)*(91025 + 38616*α))/33701
[8 -35 160]55-((393 + 88*α)*(-3012669 + 444088*α))/101103
[2 2 32]60(-4*(393 + 88*α)*(-932157 + 100421*α))/101103
[30 -210 1472]60(4*(393 + 88*α)*(-932157 + 100421*α))/101103
[16 -50 160]60(-4*(393 + 88*α)*(-903699 + 141899*α))/101103
[16 -178 1984]60(4*(393 + 88*α)*(-903699 + 141899*α))/101103
[10 -30 96]60(4*(393 + 88*α)*(-903699 + 141899*α))/101103
[10 -50 256]60(-4*(393 + 88*α)*(-903699 + 141899*α))/101103
[8 -50 320]60(-4*(393 + 88*α)*(-932157 + 100421*α))/101103
[8 -114 1632]60(4*(393 + 88*α)*(-932157 + 100421*α))/101103
[2 1 32]63((393 + 88*α)*(-1118643 + 63200*α))/33701
[16 -225 3168]63((393 + 88*α)*(-5645469 + 822668*α))/101103
[4 33 288]63((393 + 88*α)*(-5645469 + 822668*α))/101103
[12 -159 2112]63(-80*(393 + 88*α)*(-13850 + 2501*α))/33701
[8 -97 1184]63-((393 + 88*α)*(-5817807 + 681176*α))/101103
[2 0 32]64(-16*(393 + 88*α)*(-127053 + 20989*α))/33701
[2 8 64]640
[2 16 160]64(16*(393 + 88*α)*(-127053 + 20989*α))/33701
[4 8 32]640
[20 56 160]640
[10 -24 64]640
[10 -64 416]64(-16*(393 + 88*α)*(-127053 + 20989*α))/33701
[10 -144 2080]64(16*(393 + 88*α)*(-127053 + 20989*α))/33701
[36 -469 6112]71-((393 + 88*α)*(-2629083 + 655588*α))/101103
[18 -181 1824]71((393 + 88*α)*(-2898839 + 517044*α))/33701
[18 -235 3072]71((393 + 88*α)*(-1219887 + 317404*α))/33701
[12 -85 608]71((393 + 88*α)*(-2898839 + 517044*α))/33701
[120 277 640]71-((393 + 88*α)*(-2629083 + 655588*α))/101103
[10 -43 192]71-((393 + 88*α)*(-10676727 + 1703320*α))/101103
[10 -53 288]71((393 + 88*α)*(-1219887 + 317404*α))/33701
[40 -441 4864]79(-2*(393 + 88*α)*(-1301915 + 144542*α))/33701
[20 -121 736]79(-2*(393 + 88*α)*(-1081275 + 307976*α))/101103
[190 441 1024]79(-2*(393 + 88*α)*(-1301915 + 144542*α))/33701
[10 -71 512]79(-2*(393 + 88*α)*(-1081275 + 307976*α))/101103
[10 -121 1472]79(2*(393 + 88*α)*(-1043879 + 236488*α))/33701
[44 -397 3584]87((393 + 88*α)*(-13119039 + 2734876*α))/101103
[22 -45 96]87-((393 + 88*α)*(-7779201 + 1294276*α))/101103
[22 -243 2688]87((393 + 88*α)*(-14813919 + 2167676*α))/101103
[16 -115 832]87-((393 + 88*α)*(-7779201 + 1294276*α))/101103
[12 -51 224]87-((393 + 88*α)*(-11192589 + 2921960*α))/101103
[134 307 704]87((393 + 88*α)*(-13119039 + 2734876*α))/101103
[46 -138 416]92(-4*(393 + 88*α)*(-3612711 + 718655*α))/101103
[46 -230 1152]92(4*(393 + 88*α)*(-3612711 + 718655*α))/101103
[4 6 32]92(4*(393 + 88*α)*(-3612711 + 718655*α))/101103
[24 -218 1984]92(-4*(393 + 88*α)*(-3612711 + 718655*α))/101103
[26 70 192]92(4*(393 + 88*α)*(-3612711 + 718655*α))/101103
[162 374 864]92(-4*(393 + 88*α)*(-3612711 + 718655*α))/101103
[6 26 128]92(-4*(393 + 88*α)*(-7110441 + 1118545*α))/101103
[26 -86 288]92(4*(393 + 88*α)*(-7110441 + 1118545*α))/101103
[12 -26 64]92(-4*(393 + 88*α)*(-3612711 + 718655*α))/101103
[12 -38 128]92(4*(393 + 88*α)*(-7110441 + 1118545*α))/101103
[12 -122 1248]92(4*(393 + 88*α)*(-3612711 + 718655*α))/101103
[12 -134 1504]92(-4*(393 + 88*α)*(-7110441 + 1118545*α))/101103
[48 -337 2368]95-((393 + 88*α)*(-21258285 + 3549976*α))/101103
[24 -337 4736]95-((393 + 88*α)*(-3182855 + 433488*α))/33701
[4 17 96]95-((393 + 88*α)*(-10740129 + 2529428*α))/101103
[16 -81 416]95-((393 + 88*α)*(-10740129 + 2529428*α))/101103
[6 49 416]95-((393 + 88*α)*(-3182855 + 433488*α))/33701
[12 -145 1760]95((393 + 88*α)*(-33984243 + 6119656*α))/101103
[60 145 352]95((393 + 88*α)*(-14073285 + 2748916*α))/33701
[10 15 32]95-((393 + 88*α)*(-21258285 + 3549976*α))/101103
[52 -261 1312]103-((393 + 88*α)*(-3608775 + 1165148*α))/101103
[4 5 32]103-((393 + 88*α)*(-3608775 + 1165148*α))/101103
[26 -261 2624]103-((393 + 88*α)*(-8130285 + 1097108*α))/33701
[14 -59 256]103(3*(393 + 88*α)*(-3701277 + 487144*α))/33701
[14 -101 736]103-((393 + 88*α)*(-8130285 + 1097108*α))/33701
[56 -169 512]111((393 + 88*α)*(-22043337 + 1818956*α))/101103
[28 -169 1024]111((393 + 88*α)*(3610203 + 95104*α))/101103
[120 297 736]111((393 + 88*α)*(-20018721 + 3067636*α))/101103
[6 9 32]111((393 + 88*α)*(-22043337 + 1818956*α))/101103
[14 -169 2048]111((393 + 88*α)*(-17819469 + 2747032*α))/101103
[14 -183 2400]111((393 + 88*α)*(8026527 + 2286964*α))/101103
[12 -87 640]111((393 + 88*α)*(3610203 + 95104*α))/101103
[10 23 64]111((393 + 88*α)*(-20018721 + 3067636*α))/101103
[2 4 64]112(-128*(393 + 88*α)*(98505 + 839*α))/101103
[58 172 512]112(128*(393 + 88*α)*(98505 + 839*α))/101103
[4 4 32]112(-128*(393 + 88*α)*(98505 + 839*α))/101103
[28 -84 256]112(160*(393 + 88*α)*(-56967 + 6839*α))/101103
[28 -140 704]112(-160*(393 + 88*α)*(-56967 + 6839*α))/101103
[28 -196 1376]112(128*(393 + 88*α)*(98505 + 839*α))/101103
[14 -28 64]112(128*(393 + 88*α)*(98505 + 839*α))/101103
[14 -84 512]112(-128*(393 + 88*α)*(98505 + 839*α))/101103
[8 12 32]112(128*(393 + 88*α)*(98505 + 839*α))/101103
[16 -84 448]112(160*(393 + 88*α)*(-56967 + 6839*α))/101103
[16 -148 1376]112(-128*(393 + 88*α)*(98505 + 839*α))/101103
[16 -212 2816]112(-160*(393 + 88*α)*(-56967 + 6839*α))/101103
[2 3 64]119(-2*(393 + 88*α)*(-20846319 + 3412966*α))/101103
[30 -61 128]119(2*(393 + 88*α)*(-1248427 + 374046*α))/33701
[30 -451 6784]119(-2*(393 + 88*α)*(-20846319 + 3412966*α))/101103
[20 -61 192]119(-2*(393 + 88*α)*(-22741377 + 4020988*α))/101103
[90 221 544]119(2*(393 + 88*α)*(-42313041 + 7119722*α))/101103
[16 -67 288]119(2*(393 + 88*α)*(-17896275 + 3511312*α))/101103
[8 67 576]119(2*(393 + 88*α)*(-1248427 + 374046*α))/33701
[12 -61 320]119(-2*(393 + 88*α)*(-22741377 + 4020988*α))/101103
[24 61 160]119(-2*(393 + 88*α)*(-39255369 + 6975812*α))/101103
[12 -125 1312]119(2*(393 + 88*α)*(-42313041 + 7119722*α))/101103
[2 2 64]124(-8*(393 + 88*α)*(-2197989 + 348877*α))/101103
[62 -434 3040]124(8*(393 + 88*α)*(-2197989 + 348877*α))/101103
[4 2 32]124(-8*(393 + 88*α)*(-2197989 + 348877*α))/101103
[32 -226 1600]124(8*(393 + 88*α)*(-2197989 + 348877*α))/101103
[16 -98 608]124(-8*(393 + 88*α)*(-2197989 + 348877*α))/101103
[16 -226 3200]124(8*(393 + 88*α)*(-2197989 + 348877*α))/101103
[8 34 160]124(-8*(393 + 88*α)*(-6574845 + 968773*α))/101103
[28 -94 320]124(8*(393 + 88*α)*(-6574845 + 968773*α))/101103
[10 14 32]124(8*(393 + 88*α)*(-2197989 + 348877*α))/101103
[14 -46 160]124(8*(393 + 88*α)*(-6574845 + 968773*α))/101103
[14 -130 1216]124(-8*(393 + 88*α)*(-2197989 + 348877*α))/101103
[14 -158 1792]124(-8*(393 + 88*α)*(-6574845 + 968773*α))/101103
[2 1 64]127(4*(393 + 88*α)*(-397483 + 235213*α))/33701
[4 1 32]127(4*(393 + 88*α)*(-397483 + 235213*α))/33701
[32 -449 6304]127(-4*(393 + 88*α)*(-6801801 + 988207*α))/101103
[16 -193 2336]127(-16*(393 + 88*α)*(-1308138 + 437239*α))/101103
[8 65 544]127(-4*(393 + 88*α)*(-6801801 + 988207*α))/101103
[2 0 64]128(256*(393 + 88*α)*(-285615 + 43631*α))/101103
[2 8 96]1280
[2 16 192]128(-256*(393 + 88*α)*(-285615 + 43631*α))/101103
[4 0 32]128(256*(393 + 88*α)*(-285615 + 43631*α))/101103
[4 16 96]1280
[4 32 288]128(-256*(393 + 88*α)*(-285615 + 43631*α))/101103
[6 8 32]1280
[22 -112 576]1280
[22 -200 1824]1280
[22 -288 3776]1280
[18 -40 96]1280
[18 -112 704]128(256*(393 + 88*α)*(-285615 + 43631*α))/101103
[18 -256 3648]128(-256*(393 + 88*α)*(-285615 + 43631*α))/101103
[12 16 32]128(-256*(393 + 88*α)*(-285615 + 43631*α))/101103
[12 -64 352]1280
[12 -112 1056]128(256*(393 + 88*α)*(-285615 + 43631*α))/101103
[68 -885 11520]135(4*(393 + 88*α)*(-28725 + 9212*α))/503
[34 -171 864]135(-4*(393 + 88*α)*(-20537241 + 3621598*α))/101103
[34 -341 3424]135(4*(393 + 88*α)*(-5239950 + 138367*α))/101103
[24 -267 2976]135-((393 + 88*α)*(-5129677 + 1068708*α))/33701
[8 11 32]135(4*(393 + 88*α)*(-28725 + 9212*α))/503
[18 -75 320]135(-4*(393 + 88*α)*(-8143299 + 558748*α))/101103
[12 -75 480]135((393 + 88*α)*(-6537847 + 1642312*α))/33701
[72 -793 8736]143-((393 + 88*α)*(-10829093 + 1425296*α))/33701
[36 -217 1312]143(133*(393 + 88*α)*(-93379 + 13020*α))/33701
[42 121 352]143(-7*(393 + 88*α)*(-2376363 + 429208*α))/33701
[6 7 32]143-((393 + 88*α)*(-10829093 + 1425296*α))/33701
[6 25 128]143((393 + 88*α)*(-80061597 + 14915284*α))/101103
[18 -199 2208]143((393 + 88*α)*(-80061597 + 14915284*α))/101103
[18 -217 2624]143(-19*(393 + 88*α)*(-5322141 + 915944*α))/101103
[12 -25 64]143(-7*(393 + 88*α)*(-2376363 + 429208*α))/33701
[14 -89 576]143((393 + 88*α)*(-15160629 + 767612*α))/101103
[76 -685 6176]151-((393 + 88*α)*(-20524979 + 6886220*α))/33701
[38 -77 160]151((393 + 88*α)*(-22689903 + 2714932*α))/101103
[38 -115 352]151((393 + 88*α)*(4402807 + 1663560*α))/33701
[20 -83 352]151((393 + 88*α)*(-18269513 + 4756328*α))/33701
[8 19 64]151((393 + 88*α)*(4402807 + 1663560*α))/33701
[10 13 32]151-((393 + 88*α)*(-20524979 + 6886220*α))/33701
[78 -234 704]156(4*(393 + 88*α)*(-13470423 + 2041007*α))/101103
[78 -390 1952]156(-4*(393 + 88*α)*(-13470423 + 2041007*α))/101103
[40 -202 1024]156(20*(393 + 88*α)*(-408549 + 186925*α))/101103
[40 -522 6816]156(-20*(393 + 88*α)*(-408549 + 186925*α))/101103
[6 6 32]156(-4*(393 + 88*α)*(-13470423 + 2041007*α))/101103
[26 -182 1280]156(4*(393 + 88*α)*(-13470423 + 2041007*α))/101103
[8 10 32]156(4*(393 + 88*α)*(-13470423 + 2041007*α))/101103
[20 -42 96]156(4*(393 + 88*α)*(-13470423 + 2041007*α))/101103
[20 -182 1664]156(-4*(393 + 88*α)*(-13470423 + 2041007*α))/101103
[20 -202 2048]156(-4*(393 + 88*α)*(-13470423 + 2041007*α))/101103
[10 22 64]156(-20*(393 + 88*α)*(-408549 + 186925*α))/101103
[82 198 480]156(20*(393 + 88*α)*(-408549 + 186925*α))/101103
[10 42 192]156(4*(393 + 88*α)*(2225961 + 897199*α))/101103
[30 -102 352]156(-4*(393 + 88*α)*(2225961 + 897199*α))/101103
[16 -54 192]156(-4*(393 + 88*α)*(2225961 + 897199*α))/101103
[16 -182 2080]156(4*(393 + 88*α)*(2225961 + 897199*α))/101103
[80 -561 3936]159((393 + 88*α)*(-59173131 + 10360424*α))/33701
[40 -561 7872]159((393 + 88*α)*(-114089433 + 15698848*α))/101103
[46 -143 448]159-((393 + 88*α)*(-29181421 + 3401184*α))/33701
[28 -143 736]159-((393 + 88*α)*(-29181421 + 3401184*α))/33701
[20 -241 2912]159-((393 + 88*α)*(-219405663 + 34154440*α))/101103
[30 81 224]159-((393 + 88*α)*(-87648147 + 15280420*α))/101103
[16 -49 160]159((393 + 88*α)*(-168200325 + 25204612*α))/101103
[12 15 32]159((393 + 88*α)*(-59173131 + 10360424*α))/33701
[14 -143 1472]159-((393 + 88*α)*(-87648147 + 15280420*α))/101103
[84 -421 2112]167((393 + 88*α)*(-117644535 + 21850016*α))/101103
[42 -379 3424]167(41*(393 + 88*α)*(-5141775 + 910544*α))/101103
[42 -421 4224]167(-459*(393 + 88*α)*(3975 + 1168*α))/33701
[28 -421 6336]167((393 + 88*α)*(-117644535 + 21850016*α))/101103
[36 101 288]167-((393 + 88*α)*(-322214181 + 51948692*α))/101103
[22 -69 224]167((393 + 88*α)*(-34250763 + 954908*α))/101103
[22 -91 384]167-((393 + 88*α)*(-43158171 + 8042152*α))/33701
[14 -155 1728]167((393 + 88*α)*(-34250763 + 954908*α))/101103
[14 -197 2784]167(41*(393 + 88*α)*(-5141775 + 910544*α))/101103
[16 -37 96]167-((393 + 88*α)*(-322214181 + 51948692*α))/101103
[88 -265 800]175(543*(393 + 88*α)*(3917 + 1524*α))/33701
[44 -265 1600]175((393 + 88*α)*(24586893 + 265384*α))/101103
[4 9 64]175-((393 + 88*α)*(-69482997 + 25488752*α))/101103
[8 9 32]175(543*(393 + 88*α)*(3917 + 1524*α))/33701
[22 -265 3200]175((393 + 88*α)*(-101628339 + 14968712*α))/101103
[20 -265 3520]175(500*(393 + 88*α)*(-53377 + 9208*α))/33701
[2 4 96]176(-8*(393 + 88*α)*(-2637525 + 62437*α))/101103
[90 268 800]176(8*(393 + 88*α)*(-2637525 + 62437*α))/101103
[30 -92 288]176(-8*(393 + 88*α)*(-1194215 + 181911*α))/33701
[30 -212 1504]176(8*(393 + 88*α)*(-2637525 + 62437*α))/101103
[30 -332 3680]176(8*(393 + 88*α)*(-1194215 + 181911*α))/33701
[30 -452 6816]176(-8*(393 + 88*α)*(-2637525 + 62437*α))/101103
[22 -44 96]176(8*(393 + 88*α)*(-2637525 + 62437*α))/101103
[22 -132 800]176(-8*(393 + 88*α)*(-2637525 + 62437*α))/101103
[10 12 32]176(8*(393 + 88*α)*(-2637525 + 62437*α))/101103
[18 -92 480]176(-8*(393 + 88*α)*(-1194215 + 181911*α))/33701
[18 -164 1504]176(-8*(393 + 88*α)*(-2637525 + 62437*α))/101103
[18 -236 3104]176(8*(393 + 88*α)*(-1194215 + 181911*α))/33701
[2 3 96]183((393 + 88*α)*(-134815071 + 27151936*α))/101103
[46 -93 192]183((393 + 88*α)*(-139506351 + 24839504*α))/101103
[46 -323 2272]183-((393 + 88*α)*(-129974421 + 30016444*α))/101103
[6 3 32]183((393 + 88*α)*(-134815071 + 27151936*α))/101103
[24 -99 416]183-((393 + 88*α)*(-154005417 + 23659192*α))/101103
[38 -125 416]183-((393 + 88*α)*(-152387757 + 30283108*α))/101103
[16 -227 3232]183-((393 + 88*α)*(-129974421 + 30016444*α))/101103
[2 2 96]188(40*(393 + 88*α)*(-515187 + 137227*α))/101103
[94 -658 4608]188(-40*(393 + 88*α)*(-515187 + 137227*α))/101103
[48 -146 448]188(-8*(393 + 88*α)*(-16730121 + 3675953*α))/101103
[48 -530 5856]188(8*(393 + 88*α)*(-16730121 + 3675953*α))/101103
[6 2 32]188(40*(393 + 88*α)*(-515187 + 137227*α))/101103
[6 14 64]188(8*(393 + 88*α)*(-16730121 + 3675953*α))/101103
[142 350 864]188(-8*(393 + 88*α)*(-16730121 + 3675953*α))/101103
[6 50 448]188(-40*(393 + 88*α)*(-515187 + 137227*α))/101103
[24 -146 896]188(40*(393 + 88*α)*(-515187 + 137227*α))/101103
[24 -338 4768]188(-40*(393 + 88*α)*(-515187 + 137227*α))/101103
[8 18 64]188(-8*(393 + 88*α)*(-16730121 + 3675953*α))/101103
[112 274 672]188(8*(393 + 88*α)*(-16730121 + 3675953*α))/101103
[12 14 32]188(-40*(393 + 88*α)*(-515187 + 137227*α))/101103
[16 -146 1344]188(40*(393 + 88*α)*(-515187 + 137227*α))/101103
[12 50 224]188(-8*(393 + 88*α)*(-127101 + 216517*α))/33701
[32 -110 384]188(8*(393 + 88*α)*(-127101 + 216517*α))/33701
[14 34 96]188(-8*(393 + 88*α)*(-16730121 + 3675953*α))/101103
[102 242 576]188(8*(393 + 88*α)*(-16730121 + 3675953*α))/101103
[14 62 288]188(8*(393 + 88*α)*(-127101 + 216517*α))/33701
[42 -146 512]188(-8*(393 + 88*α)*(-127101 + 216517*α))/33701
[2 1 96]191(-2*(393 + 88*α)*(-84858321 + 18709622*α))/101103
[48 -673 9440]191(-2*(393 + 88*α)*(-19609087 + 3600366*α))/33701
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[2 16 224]192(64*(393 + 88*α)*(20067 + 66253*α))/101103
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[6 24 128]1920
[6 48 416]192(64*(393 + 88*α)*(20067 + 66253*α))/101103
[8 8 32]1920
[24 -72 224]1920
[24 -120 608]1920
[24 -168 1184]1920
[26 -56 128]1920
[26 -160 992]192(-64*(393 + 88*α)*(20067 + 66253*α))/101103
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[14 -72 384]1920
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[2 8 192]3200
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[42 -88 192]3200
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[10 40 192]3200
[28 -88 288]3200
[28 -312 3488]3200
[28 -424 6432]3200
[14 32 96]320(256*(393 + 88*α)*(-2461965 + 593213*α))/101103
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[18 -56 192]3200
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[30 -273 2496]351(393 + 88*α)*(-1593 + 112*α)
[30 -303 3072]351(393 + 88*α)*(-1593 + 112*α)
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[56 -193 672]383(2*(393 + 88*α)*(-612607149 + 95091604*α))/101103
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[2 8 224]3840
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[4 16 160]3840
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[6 0 64]384(2048*(393 + 88*α)*(-569217 + 127201*α))/101103
[6 24 160]3840
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[50 -104 224]3840
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[10 24 96]3840
[58 160 448]3840
[186 456 1120]3840
[394 912 2112]3840
[12 0 32]384(3584*(393 + 88*α)*(-285615 + 43631*α))/101103
[12 48 224]3840
[30 -96 320]3840
[30 -336 3776]3840
[30 -456 6944]3840
[28 -64 160]3840
[28 -176 1120]384(2048*(393 + 88*α)*(-569217 + 127201*α))/101103
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[20 -64 224]3840
[20 -304 4640]384(-3584*(393 + 88*α)*(-285615 + 43631*α))/101103
[22 32 64]384(-2048*(393 + 88*α)*(-569217 + 127201*α))/101103
[22 -120 672]3840
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[2 8 256]4480
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[58 -120 256]4480
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[14 56 256]4480
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[16 8 32]4480
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[32 -104 352]4480
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[32 -360 4064]4480
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[22 -72 256]4480
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[40 -401 4032]479(-8*(393 + 88*α)*(-765106215 + 158456201*α))/101103
[54 -175 576]479(-16*(393 + 88*α)*(-559686993 + 89541827*α))/101103
[12 17 64]479(4*(393 + 88*α)*(-360165843 + 66409793*α))/33701
[42 -593 8384]479(32*(393 + 88*α)*(-24789683 + 4270404*α))/33701
[36 -401 4480]479(-16*(393 + 88*α)*(-559686993 + 89541827*α))/101103
[178 433 1056]479(-4*(393 + 88*α)*(-220407615 + 34583317*α))/101103
[28 -145 768]479(4*(393 + 88*α)*(-1234378113 + 197906443*α))/101103
[56 145 384]479(20*(393 + 88*α)*(-120268767 + 21061549*α))/33701
[24 -145 896]479(20*(393 + 88*α)*(-120268767 + 21061549*α))/33701
[20 81 352]479(16*(393 + 88*α)*(-121665723 + 21956789*α))/101103
[28 -401 5760]479(-52*(393 + 88*α)*(1336513 + 60293*α))/33701
[168 401 960]479(-4*(393 + 88*α)*(-220407615 + 34583317*α))/101103
[24 -367 5632]479(4*(393 + 88*α)*(-23882643 + 2297441*α))/33701
[60 -209 736]479(16*(393 + 88*α)*(-121665723 + 21956789*α))/101103
[244 -1221 6112]487((393 + 88*α)*(-581819727 + 15367552*α))/33701
[4 5 128]487-((393 + 88*α)*(-2116807887 + 51820436*α))/101103
[122 -1221 12224]487((393 + 88*α)*(-783119781 + 196129288*α))/101103
[62 -933 14048]487-((393 + 88*α)*(-2116807887 + 51820436*α))/101103
[16 5 32]487((393 + 88*α)*(-581819727 + 15367552*α))/33701
[248 -745 2240]495-((393 + 88*α)*(-598854135 + 161066684*α))/33701
[504 1257 3136]495(3*(393 + 88*α)*(-345033755 + 87187284*α))/33701
[6 9 96]495(-112*(393 + 88*α)*(-19069182 + 3439253*α))/33701
[62 -311 1568]495((393 + 88*α)*(-1646082207 + 257234104*α))/101103
[52 -681 8928]495-((393 + 88*α)*(-8098903857 + 1375132984*α))/101103
[42 -87 192]495(16*(393 + 88*α)*(-4004946 + 1448089*α))/33701
[36 -471 6176]495((393 + 88*α)*(-87891111 + 55637104*α))/101103
[56 151 416]495-((393 + 88*α)*(-1103359521 + 88109224*α))/101103
[16 23 64]495(3*(393 + 88*α)*(-345033755 + 87187284*α))/33701
[28 -87 288]495(25*(393 + 88*α)*(-615072579 + 98189500*α))/101103
[142 343 832]495((393 + 88*α)*(-5153530635 + 746557532*α))/101103
[18 9 32]495-((393 + 88*α)*(-598854135 + 161066684*α))/33701
[26 -265 2720]495-((393 + 88*α)*(-1103359521 + 88109224*α))/101103
[26 -343 4544]495((393 + 88*α)*(-87891111 + 55637104*α))/101103
[28 -151 832]495-((393 + 88*α)*(-8098903857 + 1375132984*α))/101103
[24 -105 480]495(16*(393 + 88*α)*(-88422818 + 15023145*α))/33701
[2 4 256]496(8960*(393 + 88*α)*(-397881 + 70313*α))/101103
[250 748 2240]496(-8960*(393 + 88*α)*(-397881 + 70313*α))/101103
[4 4 128]496(-64*(393 + 88*α)*(-9580039 + 1041591*α))/33701
[124 -372 1120]496(-256*(393 + 88*α)*(-6022929 + 1471873*α))/101103
[124 -620 3104]496(256*(393 + 88*α)*(-6022929 + 1471873*α))/101103
[124 -868 6080]496(64*(393 + 88*α)*(-9580039 + 1041591*α))/33701
[62 -124 256]496(-8960*(393 + 88*α)*(-397881 + 70313*α))/101103
[62 -372 2240]496(8960*(393 + 88*α)*(-397881 + 70313*α))/101103
[8 4 64]496(-64*(393 + 88*α)*(-9580039 + 1041591*α))/33701
[64 -196 608]496(-8960*(393 + 88*α)*(-397881 + 70313*α))/101103
[64 -452 3200]496(64*(393 + 88*α)*(-9580039 + 1041591*α))/33701
[64 -708 7840]496(8960*(393 + 88*α)*(-397881 + 70313*α))/101103
[10 12 64]496(256*(393 + 88*α)*(-6022929 + 1471873*α))/101103
[50 -252 1280]496(8960*(393 + 88*α)*(-397881 + 70313*α))/101103
[50 -452 4096]496(-256*(393 + 88*α)*(-6022929 + 1471873*α))/101103
[50 -652 8512]496(-8960*(393 + 88*α)*(-397881 + 70313*α))/101103
[14 20 64]496(-256*(393 + 88*α)*(-6022929 + 1471873*α))/101103
[38 -196 1024]496(-8960*(393 + 88*α)*(-397881 + 70313*α))/101103
[38 -348 3200]496(256*(393 + 88*α)*(-6022929 + 1471873*α))/101103
[38 -500 6592]496(8960*(393 + 88*α)*(-397881 + 70313*α))/101103
[16 4 32]496(8960*(393 + 88*α)*(-397881 + 70313*α))/101103
[32 -68 160]496(-256*(393 + 88*α)*(-6022929 + 1471873*α))/101103
[32 -196 1216]496(-64*(393 + 88*α)*(-9580039 + 1041591*α))/33701
[32 -324 3296]496(256*(393 + 88*α)*(-6022929 + 1471873*α))/101103
[32 -452 6400]496(64*(393 + 88*α)*(-9580039 + 1041591*α))/33701
[16 68 320]496(64*(393 + 88*α)*(-26844291 + 62323*α))/101103
[56 -188 640]496(-64*(393 + 88*α)*(-26844291 + 62323*α))/101103
[20 28 64]496(64*(393 + 88*α)*(-9580039 + 1041591*α))/33701
[28 -92 320]496(-64*(393 + 88*α)*(-26844291 + 62323*α))/101103
[28 -148 800]496(-8960*(393 + 88*α)*(-397881 + 70313*α))/101103
[28 -260 2432]496(-64*(393 + 88*α)*(-9580039 + 1041591*α))/33701
[28 -316 3584]496(64*(393 + 88*α)*(-26844291 + 62323*α))/101103
[28 -372 4960]496(8960*(393 + 88*α)*(-397881 + 70313*α))/101103
[28 -428 6560]496(-8960*(393 + 88*α)*(-397881 + 70313*α))/101103