Properties

Label 32.2.g.b.13.2
Level 3232
Weight 22
Character 32.13
Analytic conductor 0.2560.256
Analytic rank 00
Dimension 88
Inner twists 22

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [32,2,Mod(5,32)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(32, base_ring=CyclotomicField(8))
 
chi = DirichletCharacter(H, H._module([0, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("32.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: N N == 32=25 32 = 2^{5}
Weight: k k == 2 2
Character orbit: [χ][\chi] == 32.g (of order 88, degree 44, minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: 0.2555212864680.255521286468
Analytic rank: 00
Dimension: 88
Relative dimension: 22 over Q(ζ8)\Q(\zeta_{8})
Coefficient field: 8.0.18939904.2
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: x84x7+14x628x5+43x444x3+30x212x+2 x^{8} - 4x^{7} + 14x^{6} - 28x^{5} + 43x^{4} - 44x^{3} + 30x^{2} - 12x + 2 Copy content Toggle raw display
Coefficient ring: Z[a1,a2,a3]\Z[a_1, a_2, a_3]
Coefficient ring index: 2 2
Twist minimal: yes
Sato-Tate group: SU(2)[C8]\mathrm{SU}(2)[C_{8}]

Embedding invariants

Embedding label 13.2
Root 0.500000+0.691860i0.500000 + 0.691860i of defining polynomial
Character χ\chi == 32.13
Dual form 32.2.g.b.5.2

qq-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
f(q)f(q) == q+(0.4438061.34277i)q2+(0.07947080.191860i)q3+(1.60607+1.19186i)q4+(0.7071070.292893i)q5+(0.2928930.0215628i)q6+(2.27133+2.27133i)q7+(2.31318+1.62764i)q8+(2.09083+2.09083i)q9+(0.7071070.819496i)q10+(1.493683.60607i)q11+(0.101034+0.402859i)q12+(4.505041.86605i)q13+(4.05791+2.04185i)q140.158942iq15+(1.158943.82843i)q163.05320iq17+(1.879583.73542i)q18+(3.87740+1.60607i)q19+(0.786578+1.31318i)q20+(0.255272+0.616281i)q21+(4.17923+3.60607i)q22+(0.271330+0.271330i)q23+(0.4961080.314456i)q24+(3.12132+3.12132i)q25+(0.506316+6.87740i)q26+(1.142880.473398i)q27+(0.9408166.35503i)q28+(0.931884+2.24977i)q29+(0.213422+0.0705392i)q30+6.82843q31+(5.65505+0.142883i)q320.810564q33+(4.09976+1.35503i)q34+(0.940816+2.27133i)q35+(5.849990.866048i)q36+(3.633491.50504i)q37+(0.4357765.91925i)q38+(0.716038+0.716038i)q39+(2.11239+0.473398i)q40+(1.542661.54266i)q41+(0.7142340.616281i)q42+(0.748956+1.80814i)q43+(6.69690+4.01136i)q44+(2.09083+0.866048i)q45+(0.2439170.484753i)q467.37109iq47+(0.6424180.526602i)q483.31788iq49+(5.57648+2.80596i)q50+(0.5857860.242641i)q51+(9.459492.37236i)q52+(1.67661+4.04770i)q53+(1.142881.32453i)q54+(2.112392.11239i)q55+(8.95089+1.55710i)q56+(0.6162810.616281i)q57+(3.43450+0.252848i)q58+(10.1200+4.19186i)q59+(0.189436+0.255272i)q60+(1.358733.28026i)q61+(3.030499.16902i)q629.49791q63+(2.70160+7.53003i)q643.73210q65+(0.359733+1.08840i)q66+(1.99577+4.81822i)q67+(3.63899+4.90367i)q68+(0.07362020.0304945i)q69+(3.46742+0.255272i)q70+(6.470856.47085i)q71+(1.43335+8.23956i)q72+(2.841062.84106i)q73+(3.633494.21100i)q74+(0.350801+0.846909i)q75+(8.14161+2.04185i)q76+(11.5832+4.79793i)q77+(1.27926+0.643694i)q78+9.74996iq79+(0.3018253.04655i)q80+8.61373iq81+(1.38680+2.75608i)q82+(9.046423.74715i)q83+(1.144510.685544i)q84+(0.8942632.15894i)q85+(2.095531.80814i)q86+(0.357582+0.357582i)q87+(2.4142110.7727i)q88+(7.583237.58323i)q89+(0.2349853.19186i)q90+(14.47085.99402i)q91+(0.7591640.112389i)q92+(0.5426611.31010i)q93+(9.89769+3.27133i)q94+3.21215q95+(0.421998+1.09633i)q96+3.71423q97+(4.45516+1.47250i)q98+(4.4166410.6627i)q99+O(q100)q+(-0.443806 - 1.34277i) q^{2} +(0.0794708 - 0.191860i) q^{3} +(-1.60607 + 1.19186i) q^{4} +(0.707107 - 0.292893i) q^{5} +(-0.292893 - 0.0215628i) q^{6} +(-2.27133 + 2.27133i) q^{7} +(2.31318 + 1.62764i) q^{8} +(2.09083 + 2.09083i) q^{9} +(-0.707107 - 0.819496i) q^{10} +(-1.49368 - 3.60607i) q^{11} +(0.101034 + 0.402859i) q^{12} +(-4.50504 - 1.86605i) q^{13} +(4.05791 + 2.04185i) q^{14} -0.158942i q^{15} +(1.15894 - 3.82843i) q^{16} -3.05320i q^{17} +(1.87958 - 3.73542i) q^{18} +(3.87740 + 1.60607i) q^{19} +(-0.786578 + 1.31318i) q^{20} +(0.255272 + 0.616281i) q^{21} +(-4.17923 + 3.60607i) q^{22} +(0.271330 + 0.271330i) q^{23} +(0.496108 - 0.314456i) q^{24} +(-3.12132 + 3.12132i) q^{25} +(-0.506316 + 6.87740i) q^{26} +(1.14288 - 0.473398i) q^{27} +(0.940816 - 6.35503i) q^{28} +(-0.931884 + 2.24977i) q^{29} +(-0.213422 + 0.0705392i) q^{30} +6.82843 q^{31} +(-5.65505 + 0.142883i) q^{32} -0.810564 q^{33} +(-4.09976 + 1.35503i) q^{34} +(-0.940816 + 2.27133i) q^{35} +(-5.84999 - 0.866048i) q^{36} +(3.63349 - 1.50504i) q^{37} +(0.435776 - 5.91925i) q^{38} +(-0.716038 + 0.716038i) q^{39} +(2.11239 + 0.473398i) q^{40} +(-1.54266 - 1.54266i) q^{41} +(0.714234 - 0.616281i) q^{42} +(0.748956 + 1.80814i) q^{43} +(6.69690 + 4.01136i) q^{44} +(2.09083 + 0.866048i) q^{45} +(0.243917 - 0.484753i) q^{46} -7.37109i q^{47} +(-0.642418 - 0.526602i) q^{48} -3.31788i q^{49} +(5.57648 + 2.80596i) q^{50} +(-0.585786 - 0.242641i) q^{51} +(9.45949 - 2.37236i) q^{52} +(1.67661 + 4.04770i) q^{53} +(-1.14288 - 1.32453i) q^{54} +(-2.11239 - 2.11239i) q^{55} +(-8.95089 + 1.55710i) q^{56} +(0.616281 - 0.616281i) q^{57} +(3.43450 + 0.252848i) q^{58} +(-10.1200 + 4.19186i) q^{59} +(0.189436 + 0.255272i) q^{60} +(1.35873 - 3.28026i) q^{61} +(-3.03049 - 9.16902i) q^{62} -9.49791 q^{63} +(2.70160 + 7.53003i) q^{64} -3.73210 q^{65} +(0.359733 + 1.08840i) q^{66} +(-1.99577 + 4.81822i) q^{67} +(3.63899 + 4.90367i) q^{68} +(0.0736202 - 0.0304945i) q^{69} +(3.46742 + 0.255272i) q^{70} +(6.47085 - 6.47085i) q^{71} +(1.43335 + 8.23956i) q^{72} +(-2.84106 - 2.84106i) q^{73} +(-3.63349 - 4.21100i) q^{74} +(0.350801 + 0.846909i) q^{75} +(-8.14161 + 2.04185i) q^{76} +(11.5832 + 4.79793i) q^{77} +(1.27926 + 0.643694i) q^{78} +9.74996i q^{79} +(-0.301825 - 3.04655i) q^{80} +8.61373i q^{81} +(-1.38680 + 2.75608i) q^{82} +(-9.04642 - 3.74715i) q^{83} +(-1.14451 - 0.685544i) q^{84} +(-0.894263 - 2.15894i) q^{85} +(2.09553 - 1.80814i) q^{86} +(0.357582 + 0.357582i) q^{87} +(2.41421 - 10.7727i) q^{88} +(7.58323 - 7.58323i) q^{89} +(0.234985 - 3.19186i) q^{90} +(14.4708 - 5.99402i) q^{91} +(-0.759164 - 0.112389i) q^{92} +(0.542661 - 1.31010i) q^{93} +(-9.89769 + 3.27133i) q^{94} +3.21215 q^{95} +(-0.421998 + 1.09633i) q^{96} +3.71423 q^{97} +(-4.45516 + 1.47250i) q^{98} +(4.41664 - 10.6627i) q^{99} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 8q4q24q3+4q48q68q74q8+4q11+12q128q13+12q14+20q18+4q19+4q20+4q228q238q248q2520q26+8q27++28q99+O(q100) 8 q - 4 q^{2} - 4 q^{3} + 4 q^{4} - 8 q^{6} - 8 q^{7} - 4 q^{8} + 4 q^{11} + 12 q^{12} - 8 q^{13} + 12 q^{14} + 20 q^{18} + 4 q^{19} + 4 q^{20} + 4 q^{22} - 8 q^{23} - 8 q^{24} - 8 q^{25} - 20 q^{26} + 8 q^{27}+ \cdots + 28 q^{99}+O(q^{100}) Copy content Toggle raw display

Character values

We give the values of χ\chi on generators for (Z/32Z)×\left(\mathbb{Z}/32\mathbb{Z}\right)^\times.

nn 55 3131
χ(n)\chi(n) e(78)e\left(\frac{7}{8}\right) 11

Coefficient data

For each nn we display the coefficients of the qq-expansion ana_n, the Satake parameters αp\alpha_p, and the Satake angles θp=Arg(αp)\theta_p = \textrm{Arg}(\alpha_p).



Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)
Significant digits:
nn ana_n an/n(k1)/2a_n / n^{(k-1)/2} αn \alpha_n θn \theta_n
pp apa_p ap/p(k1)/2a_p / p^{(k-1)/2} αp \alpha_p θp \theta_p
22 −0.443806 1.34277i −0.313818 0.949483i
33 0.0794708 0.191860i 0.0458825 0.110770i −0.899277 0.437380i 0.855906π-0.855906\pi
0.945159 + 0.326610i 0.105906π0.105906\pi
44 −1.60607 + 1.19186i −0.803037 + 0.595930i
55 0.707107 0.292893i 0.316228 0.130986i −0.218924 0.975742i 0.570255π-0.570255\pi
0.535151 + 0.844756i 0.320255π0.320255\pi
66 −0.292893 0.0215628i −0.119573 0.00880300i
77 −2.27133 + 2.27133i −0.858482 + 0.858482i −0.991159 0.132677i 0.957643π-0.957643\pi
0.132677 + 0.991159i 0.457643π0.457643\pi
88 2.31318 + 1.62764i 0.817833 + 0.575456i
99 2.09083 + 2.09083i 0.696942 + 0.696942i
1010 −0.707107 0.819496i −0.223607 0.259147i
1111 −1.49368 3.60607i −0.450363 1.08727i −0.972184 0.234217i 0.924747π-0.924747\pi
0.521821 0.853055i 0.325253π-0.325253\pi
1212 0.101034 + 0.402859i 0.0291659 + 0.116295i
1313 −4.50504 1.86605i −1.24947 0.517549i −0.342810 0.939405i 0.611379π-0.611379\pi
−0.906663 + 0.421856i 0.861379π0.861379\pi
1414 4.05791 + 2.04185i 1.08452 + 0.545707i
1515 0.158942i 0.0410386i
1616 1.15894 3.82843i 0.289735 0.957107i
1717 3.05320i 0.740511i −0.928930 0.370255i 0.879270π-0.879270\pi
0.928930 0.370255i 0.120730π-0.120730\pi
1818 1.87958 3.73542i 0.443022 0.880448i
1919 3.87740 + 1.60607i 0.889537 + 0.368458i 0.780188 0.625545i 0.215123π-0.215123\pi
0.109349 + 0.994003i 0.465123π0.465123\pi
2020 −0.786578 + 1.31318i −0.175884 + 0.293636i
2121 0.255272 + 0.616281i 0.0557049 + 0.134484i
2222 −4.17923 + 3.60607i −0.891014 + 0.768817i
2323 0.271330 + 0.271330i 0.0565763 + 0.0565763i 0.734829 0.678253i 0.237262π-0.237262\pi
−0.678253 + 0.734829i 0.737262π0.737262\pi
2424 0.496108 0.314456i 0.101268 0.0641881i
2525 −3.12132 + 3.12132i −0.624264 + 0.624264i
2626 −0.506316 + 6.87740i −0.0992967 + 1.34877i
2727 1.14288 0.473398i 0.219948 0.0911054i
2828 0.940816 6.35503i 0.177797 1.20099i
2929 −0.931884 + 2.24977i −0.173047 + 0.417771i −0.986479 0.163888i 0.947596π-0.947596\pi
0.813432 + 0.581660i 0.197596π0.197596\pi
3030 −0.213422 + 0.0705392i −0.0389654 + 0.0128786i
3131 6.82843 1.22642 0.613211 0.789919i 0.289878π-0.289878\pi
0.613211 + 0.789919i 0.289878π0.289878\pi
3232 −5.65505 + 0.142883i −0.999681 + 0.0252584i
3333 −0.810564 −0.141101
3434 −4.09976 + 1.35503i −0.703103 + 0.232386i
3535 −0.940816 + 2.27133i −0.159027 + 0.383925i
3636 −5.84999 0.866048i −0.974998 0.144341i
3737 3.63349 1.50504i 0.597342 0.247427i −0.0634640 0.997984i 0.520215π-0.520215\pi
0.660806 + 0.750557i 0.270215π0.270215\pi
3838 0.435776 5.91925i 0.0706923 0.960230i
3939 −0.716038 + 0.716038i −0.114658 + 0.114658i
4040 2.11239 + 0.473398i 0.333998 + 0.0748508i
4141 −1.54266 1.54266i −0.240923 0.240923i 0.576309 0.817232i 0.304493π-0.304493\pi
−0.817232 + 0.576309i 0.804493π0.804493\pi
4242 0.714234 0.616281i 0.110209 0.0950942i
4343 0.748956 + 1.80814i 0.114215 + 0.275739i 0.970642 0.240529i 0.0773209π-0.0773209\pi
−0.856427 + 0.516268i 0.827321π0.827321\pi
4444 6.69690 + 4.01136i 1.00960 + 0.604735i
4545 2.09083 + 0.866048i 0.311682 + 0.129103i
4646 0.243917 0.484753i 0.0359636 0.0714729i
4747 7.37109i 1.07518i −0.843205 0.537592i 0.819334π-0.819334\pi
0.843205 0.537592i 0.180666π-0.180666\pi
4848 −0.642418 0.526602i −0.0927251 0.0760085i
4949 3.31788i 0.473983i
5050 5.57648 + 2.80596i 0.788634 + 0.396823i
5151 −0.585786 0.242641i −0.0820265 0.0339765i
5252 9.45949 2.37236i 1.31180 0.328988i
5353 1.67661 + 4.04770i 0.230300 + 0.555994i 0.996213 0.0869508i 0.0277123π-0.0277123\pi
−0.765912 + 0.642945i 0.777712π0.777712\pi
5454 −1.14288 1.32453i −0.155527 0.180246i
5555 −2.11239 2.11239i −0.284834 0.284834i
5656 −8.95089 + 1.55710i −1.19611 + 0.208076i
5757 0.616281 0.616281i 0.0816284 0.0816284i
5858 3.43450 + 0.252848i 0.450972 + 0.0332006i
5959 −10.1200 + 4.19186i −1.31752 + 0.545734i −0.927069 0.374891i 0.877680π-0.877680\pi
−0.390449 + 0.920625i 0.627680π0.627680\pi
6060 0.189436 + 0.255272i 0.0244561 + 0.0329555i
6161 1.35873 3.28026i 0.173967 0.419995i −0.812713 0.582664i 0.802010π-0.802010\pi
0.986681 + 0.162669i 0.0520104π0.0520104\pi
6262 −3.03049 9.16902i −0.384873 1.16447i
6363 −9.49791 −1.19662
6464 2.70160 + 7.53003i 0.337700 + 0.941254i
6565 −3.73210 −0.462910
6666 0.359733 + 1.08840i 0.0442800 + 0.133973i
6767 −1.99577 + 4.81822i −0.243822 + 0.588639i −0.997656 0.0684259i 0.978202π-0.978202\pi
0.753834 + 0.657065i 0.228202π0.228202\pi
6868 3.63899 + 4.90367i 0.441292 + 0.594657i
6969 0.0736202 0.0304945i 0.00886283 0.00367110i
7070 3.46742 + 0.255272i 0.414436 + 0.0305108i
7171 6.47085 6.47085i 0.767948 0.767948i −0.209797 0.977745i 0.567280π-0.567280\pi
0.977745 + 0.209797i 0.0672803π0.0672803\pi
7272 1.43335 + 8.23956i 0.168922 + 0.971041i
7373 −2.84106 2.84106i −0.332521 0.332521i 0.521022 0.853543i 0.325551π-0.325551\pi
−0.853543 + 0.521022i 0.825551π0.825551\pi
7474 −3.63349 4.21100i −0.422384 0.489519i
7575 0.350801 + 0.846909i 0.0405070 + 0.0977926i
7676 −8.14161 + 2.04185i −0.933906 + 0.234216i
7777 11.5832 + 4.79793i 1.32003 + 0.546775i
7878 1.27926 + 0.643694i 0.144847 + 0.0728840i
7979 9.74996i 1.09696i 0.836165 + 0.548478i 0.184793π0.184793\pi
−0.836165 + 0.548478i 0.815207π0.815207\pi
8080 −0.301825 3.04655i −0.0337450 0.340615i
8181 8.61373i 0.957081i
8282 −1.38680 + 2.75608i −0.153146 + 0.304358i
8383 −9.04642 3.74715i −0.992974 0.411303i −0.173758 0.984788i 0.555591π-0.555591\pi
−0.819216 + 0.573485i 0.805591π0.805591\pi
8484 −1.14451 0.685544i −0.124876 0.0747990i
8585 −0.894263 2.15894i −0.0969964 0.234170i
8686 2.09553 1.80814i 0.225967 0.194977i
8787 0.357582 + 0.357582i 0.0383368 + 0.0383368i
8888 2.41421 10.7727i 0.257356 1.14837i
8989 7.58323 7.58323i 0.803821 0.803821i −0.179869 0.983691i 0.557567π-0.557567\pi
0.983691 + 0.179869i 0.0575675π0.0575675\pi
9090 0.234985 3.19186i 0.0247696 0.336452i
9191 14.4708 5.99402i 1.51696 0.628344i
9292 −0.759164 0.112389i −0.0791483 0.0117173i
9393 0.542661 1.31010i 0.0562713 0.135851i
9494 −9.89769 + 3.27133i −1.02087 + 0.337412i
9595 3.21215 0.329559
9696 −0.421998 + 1.09633i −0.0430700 + 0.111894i
9797 3.71423 0.377123 0.188562 0.982061i 0.439617π-0.439617\pi
0.188562 + 0.982061i 0.439617π0.439617\pi
9898 −4.45516 + 1.47250i −0.450039 + 0.148744i
9999 4.41664 10.6627i 0.443889 1.07164i
100100 1.29289 8.73324i 0.129289 0.873324i
101101 −9.04770 + 3.74768i −0.900280 + 0.372908i −0.784328 0.620347i 0.786992π-0.786992\pi
−0.115952 + 0.993255i 0.536992π0.536992\pi
102102 −0.0658358 + 0.894263i −0.00651871 + 0.0885452i
103103 0.450688 0.450688i 0.0444076 0.0444076i −0.684554 0.728962i 0.740003π-0.740003\pi
0.728962 + 0.684554i 0.240003π0.240003\pi
104104 −7.38372 11.6491i −0.724033 1.14229i
105105 0.361009 + 0.361009i 0.0352309 + 0.0352309i
106106 4.69105 4.04770i 0.455635 0.393147i
107107 6.82420 + 16.4751i 0.659720 + 1.59271i 0.798236 + 0.602345i 0.205767π0.205767\pi
−0.138515 + 0.990360i 0.544233π0.544233\pi
108108 −1.27133 + 2.12247i −0.122334 + 0.204235i
109109 −7.20664 2.98509i −0.690271 0.285920i 0.00984205 0.999952i 0.496867π-0.496867\pi
−0.700113 + 0.714032i 0.746867π0.746867\pi
110110 −1.89897 + 3.77395i −0.181059 + 0.359832i
111111 0.816726i 0.0775202i
112112 6.06328 + 11.3280i 0.572926 + 1.07039i
113113 8.76744i 0.824771i 0.911009 + 0.412386i 0.135304π0.135304\pi
−0.911009 + 0.412386i 0.864696π0.864696\pi
114114 −1.10103 0.554016i −0.103121 0.0518883i
115115 0.271330 + 0.112389i 0.0253017 + 0.0104803i
116116 −1.18473 4.72397i −0.110000 0.438609i
117117 −5.51767 13.3208i −0.510109 1.23151i
118118 10.1200 + 11.7285i 0.931626 + 1.07970i
119119 6.93484 + 6.93484i 0.635715 + 0.635715i
120120 0.258699 0.367661i 0.0236159 0.0335627i
121121 −2.99450 + 2.99450i −0.272227 + 0.272227i
122122 −5.00766 0.368664i −0.453372 0.0333773i
123123 −0.418571 + 0.173378i −0.0377412 + 0.0156329i
124124 −10.9670 + 8.13853i −0.984861 + 0.730861i
125125 −2.75736 + 6.65685i −0.246626 + 0.595407i
126126 4.21523 + 12.7535i 0.375522 + 1.13617i
127127 −11.4642 −1.01728 −0.508641 0.860979i 0.669852π-0.669852\pi
−0.508641 + 0.860979i 0.669852π0.669852\pi
128128 8.91213 6.96951i 0.787728 0.616023i
129129 0.406429 0.0357841
130130 1.65633 + 5.01136i 0.145269 + 0.439525i
131131 4.32211 10.4345i 0.377625 0.911667i −0.614785 0.788694i 0.710757π-0.710757\pi
0.992410 0.122972i 0.0392426π-0.0392426\pi
132132 1.30182 0.966078i 0.113309 0.0840863i
133133 −12.4548 + 5.15894i −1.07997 + 0.447337i
134134 7.35550 + 0.541513i 0.635419 + 0.0467796i
135135 0.669485 0.669485i 0.0576201 0.0576201i
136136 4.96951 7.06261i 0.426132 0.605614i
137137 −3.42429 3.42429i −0.292557 0.292557i 0.545533 0.838090i 0.316327π-0.316327\pi
−0.838090 + 0.545533i 0.816327π0.816327\pi
138138 −0.0736202 0.0853215i −0.00626697 0.00726305i
139139 −7.35745 17.7625i −0.624051 1.50659i −0.846907 0.531741i 0.821538π-0.821538\pi
0.222856 0.974851i 0.428462π-0.428462\pi
140140 −1.19609 4.76924i −0.101088 0.403075i
141141 −1.41421 0.585786i −0.119098 0.0493321i
142142 −11.5607 5.81707i −0.970150 0.488158i
143143 19.0328i 1.59160i
144144 10.4277 5.58143i 0.868977 0.465119i
145145 1.86377i 0.154778i
146146 −2.55402 + 5.07577i −0.211372 + 0.420074i
147147 −0.636568 0.263675i −0.0525032 0.0217475i
148148 −4.04185 + 6.74781i −0.332238 + 0.554666i
149149 −0.931884 2.24977i −0.0763429 0.184308i 0.881101 0.472929i 0.156803π-0.156803\pi
−0.957443 + 0.288621i 0.906803π0.906803\pi
150150 0.981518 0.846909i 0.0801406 0.0691498i
151151 −4.21395 4.21395i −0.342926 0.342926i 0.514540 0.857466i 0.327963π-0.327963\pi
−0.857466 + 0.514540i 0.827963π0.827963\pi
152152 6.35503 + 10.0261i 0.515461 + 0.813227i
153153 6.38372 6.38372i 0.516093 0.516093i
154154 1.30182 17.6830i 0.104904 1.42494i
155155 4.82843 2.00000i 0.387829 0.160644i
156156 0.296593 2.00343i 0.0237464 0.160403i
157157 5.84401 14.1087i 0.466403 1.12600i −0.499319 0.866418i 0.666417π-0.666417\pi
0.965722 0.259578i 0.0835835π-0.0835835\pi
158158 13.0920 4.32709i 1.04154 0.344245i
159159 0.909832 0.0721543
160160 −3.95687 + 1.75736i −0.312818 + 0.138931i
161161 −1.23256 −0.0971395
162162 11.5663 3.82282i 0.908732 0.300349i
163163 −2.72369 + 6.57558i −0.213336 + 0.515039i −0.993932 0.109997i 0.964916π-0.964916\pi
0.780596 + 0.625036i 0.214916π0.214916\pi
164164 4.31626 + 0.638991i 0.337043 + 0.0498968i
165165 −0.573155 + 0.237409i −0.0446201 + 0.0184822i
166166 −1.01672 + 13.8103i −0.0789125 + 1.07189i
167167 3.26355 3.26355i 0.252541 0.252541i −0.569471 0.822012i 0.692852π-0.692852\pi
0.822012 + 0.569471i 0.192852π0.192852\pi
168168 −0.412591 + 1.84106i −0.0318321 + 0.142041i
169169 7.62086 + 7.62086i 0.586220 + 0.586220i
170170 −2.50209 + 2.15894i −0.191901 + 0.165583i
171171 4.74896 + 11.4650i 0.363162 + 0.876750i
172172 −3.35793 2.01136i −0.256040 0.153364i
173173 6.86605 + 2.84401i 0.522016 + 0.216226i 0.628102 0.778131i 0.283832π-0.283832\pi
−0.106086 + 0.994357i 0.533832π0.533832\pi
174174 0.321454 0.638848i 0.0243694 0.0484309i
175175 14.1791i 1.07184i
176176 −15.5367 + 1.53923i −1.17112 + 0.116024i
177177 2.27476i 0.170981i
178178 −13.5480 6.81707i −1.01547 0.510961i
179179 −1.79370 0.742977i −0.134068 0.0555327i 0.314641 0.949211i 0.398116π-0.398116\pi
−0.448709 + 0.893678i 0.648116π0.648116\pi
180180 −4.39023 + 1.10103i −0.327228 + 0.0820662i
181181 6.12132 + 14.7782i 0.454994 + 1.09845i 0.970399 + 0.241506i 0.0776415π0.0776415\pi
−0.515405 + 0.856947i 0.672359π0.672359\pi
182182 −14.4708 16.7709i −1.07265 1.24314i
183183 −0.521370 0.521370i −0.0385408 0.0385408i
184184 0.186009 + 1.06926i 0.0137128 + 0.0788271i
185185 2.12845 2.12845i 0.156487 0.156487i
186186 −2.00000 0.147240i −0.146647 0.0107962i
187187 −11.0101 + 4.56052i −0.805137 + 0.333499i
188188 8.78530 + 11.8385i 0.640734 + 0.863412i
189189 −1.52062 + 3.67111i −0.110609 + 0.267034i
190190 −1.42557 4.31318i −0.103422 0.312911i
191191 −6.19266 −0.448085 −0.224043 0.974579i 0.571925π-0.571925\pi
−0.224043 + 0.974579i 0.571925π0.571925\pi
192192 1.65941 + 0.0800895i 0.119757 + 0.00577996i
193193 14.5784 1.04938 0.524688 0.851295i 0.324182π-0.324182\pi
0.524688 + 0.851295i 0.324182π0.324182\pi
194194 −1.64840 4.98737i −0.118348 0.358072i
195195 −0.296593 + 0.716038i −0.0212395 + 0.0512766i
196196 3.95445 + 5.32876i 0.282461 + 0.380626i
197197 18.5025 7.66398i 1.31825 0.546036i 0.390968 0.920404i 0.372140π-0.372140\pi
0.927280 + 0.374368i 0.122140π0.122140\pi
198198 −16.2777 1.19837i −1.15681 0.0851643i
199199 −12.3777 + 12.3777i −0.877435 + 0.877435i −0.993269 0.115834i 0.963046π-0.963046\pi
0.115834 + 0.993269i 0.463046π0.463046\pi
200200 −12.3005 + 2.13980i −0.869780 + 0.151307i
201201 0.765816 + 0.765816i 0.0540165 + 0.0540165i
202202 9.04770 + 10.4858i 0.636594 + 0.737775i
203203 −2.99335 7.22658i −0.210092 0.507207i
204204 1.23001 0.308476i 0.0861179 0.0215977i
205205 −1.54266 0.638991i −0.107744 0.0446291i
206206 −0.805188 0.405153i −0.0561001 0.0282283i
207207 1.13461i 0.0788608i
208208 −12.3651 + 15.0846i −0.857366 + 1.04593i
209209 16.3812i 1.13311i
210210 0.324535 0.644971i 0.0223950 0.0445072i
211211 3.54851 + 1.46984i 0.244290 + 0.101188i 0.501469 0.865176i 0.332793π-0.332793\pi
−0.257179 + 0.966364i 0.582793π0.582793\pi
212212 −7.51705 4.50262i −0.516273 0.309241i
213213 −0.727250 1.75574i −0.0498304 0.120301i
214214 19.0936 16.4751i 1.30521 1.12621i
215215 1.05918 + 1.05918i 0.0722358 + 0.0722358i
216216 3.41421 + 0.765144i 0.232308 + 0.0520614i
217217 −15.5096 + 15.5096i −1.05286 + 1.05286i
218218 −0.809945 + 11.0017i −0.0548564 + 0.745128i
219219 −0.770865 + 0.319303i −0.0520903 + 0.0215765i
220220 5.91032 + 0.874980i 0.398474 + 0.0589911i
221221 −5.69743 + 13.7548i −0.383250 + 0.925248i
222222 −1.09668 + 0.362468i −0.0736041 + 0.0243272i
223223 27.5550 1.84522 0.922611 0.385732i 0.126051π-0.126051\pi
0.922611 + 0.385732i 0.126051π0.126051\pi
224224 12.5200 13.1690i 0.836524 0.879892i
225225 −13.0523 −0.870152
226226 11.7727 3.89104i 0.783106 0.258828i
227227 −6.02694 + 14.5503i −0.400022 + 0.965738i 0.587638 + 0.809124i 0.300058π0.300058\pi
−0.987660 + 0.156614i 0.949942π0.949942\pi
228228 −0.255272 + 1.72431i −0.0169058 + 0.114195i
229229 18.2777 7.57088i 1.20783 0.500298i 0.314306 0.949322i 0.398228π-0.398228\pi
0.893520 + 0.449024i 0.148228π0.148228\pi
230230 0.0304945 0.414214i 0.00201075 0.0273124i
231231 1.84106 1.84106i 0.121133 0.121133i
232232 −5.81742 + 3.68735i −0.381932 + 0.242086i
233233 −6.70939 6.70939i −0.439547 0.439547i 0.452313 0.891859i 0.350599π-0.350599\pi
−0.891859 + 0.452313i 0.850599π0.850599\pi
234234 −15.4381 + 13.3208i −1.00922 + 0.870810i
235235 −2.15894 5.21215i −0.140834 0.340003i
236236 11.2574 18.7941i 0.732796 1.22339i
237237 1.87062 + 0.774837i 0.121510 + 0.0503311i
238238 6.23418 12.3896i 0.404102 0.803100i
239239 26.1995i 1.69471i −0.531030 0.847353i 0.678195π-0.678195\pi
0.531030 0.847353i 0.321805π-0.321805\pi
240240 −0.608497 0.184204i −0.0392783 0.0118903i
241241 13.6734i 0.880781i −0.897806 0.440391i 0.854840π-0.854840\pi
0.897806 0.440391i 0.145160π-0.145160\pi
242242 5.34990 + 2.69195i 0.343905 + 0.173045i
243243 5.08128 + 2.10473i 0.325964 + 0.135019i
244244 1.72739 + 6.88775i 0.110585 + 0.440943i
245245 −0.971786 2.34610i −0.0620851 0.149887i
246246 0.418571 + 0.485099i 0.0266871 + 0.0309288i
247247 −14.4708 14.4708i −0.920758 0.920758i
248248 15.7954 + 11.1142i 1.00301 + 0.705752i
249249 −1.43785 + 1.43785i −0.0911203 + 0.0911203i
250250 10.1624 + 0.748155i 0.642725 + 0.0473175i
251251 −13.2054 + 5.46984i −0.833515 + 0.345253i −0.758293 0.651913i 0.773967π-0.773967\pi
−0.0752219 + 0.997167i 0.523967π0.523967\pi
252252 15.2543 11.3202i 0.960933 0.713104i
253253 0.573155 1.38372i 0.0360340 0.0869937i
254254 5.08787 + 15.3938i 0.319242 + 0.965893i
255255 −0.485281 −0.0303895
256256 −13.3137 8.87385i −0.832107 0.554615i
257257 −20.0656 −1.25166 −0.625828 0.779961i 0.715239π-0.715239\pi
−0.625828 + 0.779961i 0.715239π0.715239\pi
258258 −0.180376 0.545742i −0.0112297 0.0339764i
259259 −4.83441 + 11.6713i −0.300395 + 0.725219i
260260 5.99402 4.44814i 0.371733 0.275862i
261261 −6.65228 + 2.75546i −0.411766 + 0.170559i
262262 −15.9293 1.17272i −0.984117 0.0724509i
263263 4.74976 4.74976i 0.292883 0.292883i −0.545335 0.838218i 0.683598π-0.683598\pi
0.838218 + 0.545335i 0.183598π0.183598\pi
264264 −1.87498 1.31930i −0.115397 0.0811975i
265265 2.37109 + 2.37109i 0.145655 + 0.145655i
266266 12.4548 + 14.4344i 0.763652 + 0.885028i
267267 −0.852270 2.05756i −0.0521581 0.125921i
268268 −2.53729 10.1171i −0.154989 0.618000i
269269 −22.3818 9.27086i −1.36464 0.565254i −0.424313 0.905516i 0.639484π-0.639484\pi
−0.940331 + 0.340262i 0.889484π0.889484\pi
270270 −1.19609 0.601845i −0.0727916 0.0366271i
271271 0.693146i 0.0421056i −0.999778 0.0210528i 0.993298π-0.993298\pi
0.999778 0.0210528i 0.00670181π-0.00670181\pi
272272 −11.6890 3.53849i −0.708748 0.214552i
273273 3.25272i 0.196864i
274274 −3.07832 + 6.11776i −0.185968 + 0.369588i
275275 15.9180 + 6.59344i 0.959890 + 0.397600i
276276 −0.0818942 + 0.136721i −0.00492945 + 0.00822965i
277277 11.1898 + 27.0147i 0.672332 + 1.62315i 0.777637 + 0.628713i 0.216418π0.216418\pi
−0.105305 + 0.994440i 0.533582π0.533582\pi
278278 −20.5857 + 17.7625i −1.23465 + 1.06532i
279279 14.2771 + 14.2771i 0.854745 + 0.854745i
280280 −5.87318 + 3.72269i −0.350989 + 0.222473i
281281 −6.97958 + 6.97958i −0.416367 + 0.416367i −0.883949 0.467582i 0.845125π-0.845125\pi
0.467582 + 0.883949i 0.345125π0.345125\pi
282282 −0.158942 + 2.15894i −0.00946484 + 0.128563i
283283 14.6079 6.05078i 0.868348 0.359682i 0.0963814 0.995344i 0.469273π-0.469273\pi
0.771967 + 0.635663i 0.219273π0.219273\pi
284284 −2.68031 + 18.1050i −0.159047 + 1.07433i
285285 0.255272 0.616281i 0.0151210 0.0365053i
286286 25.5567 8.44686i 1.51120 0.499473i
287287 7.00778 0.413656
288288 −12.1225 11.5250i −0.714323 0.679116i
289289 7.67794 0.451644
290290 2.50262 0.827151i 0.146959 0.0485720i
291291 0.295173 0.712611i 0.0173034 0.0417740i
292292 7.94909 + 1.17680i 0.465185 + 0.0688673i
293293 −9.85571 + 4.08237i −0.575777 + 0.238495i −0.651518 0.758633i 0.725868π-0.725868\pi
0.0757415 + 0.997127i 0.475868π0.475868\pi
294294 −0.0715430 + 0.971786i −0.00417247 + 0.0566757i
295295 −5.92818 + 5.92818i −0.345152 + 0.345152i
296296 10.8546 + 2.43257i 0.630909 + 0.141390i
297297 −3.41421 3.41421i −0.198113 0.198113i
298298 −2.60735 + 2.24977i −0.151040 + 0.130326i
299299 −0.716038 1.72867i −0.0414096 0.0999715i
300300 −1.57281 0.942092i −0.0908062 0.0543917i
301301 −5.80801 2.40576i −0.334768 0.138666i
302302 −3.78820 + 7.52855i −0.217986 + 0.433219i
303303 2.03372i 0.116834i
304304 10.6424 12.9830i 0.610385 0.744627i
305305 2.71746i 0.155601i
306306 −11.4050 5.73875i −0.651981 0.328062i
307307 6.96272 + 2.88406i 0.397384 + 0.164602i 0.572421 0.819960i 0.306004π-0.306004\pi
−0.175037 + 0.984562i 0.556004π0.556004\pi
308308 −24.3220 + 6.09976i −1.38587 + 0.347566i
309309 −0.0506522 0.122285i −0.00288150 0.00695656i
310310 −4.82843 5.59587i −0.274236 0.317824i
311311 4.65020 + 4.65020i 0.263689 + 0.263689i 0.826551 0.562862i 0.190300π-0.190300\pi
−0.562862 + 0.826551i 0.690300π0.690300\pi
312312 −2.82178 + 0.490876i −0.159752 + 0.0277904i
313313 −0.325668 + 0.325668i −0.0184078 + 0.0184078i −0.716251 0.697843i 0.754143π-0.754143\pi
0.697843 + 0.716251i 0.254143π0.254143\pi
314314 −21.5384 1.58566i −1.21548 0.0894838i
315315 −6.71604 + 2.78187i −0.378406 + 0.156741i
316316 −11.6206 15.6591i −0.653709 0.880896i
317317 7.92866 19.1415i 0.445318 1.07509i −0.528738 0.848785i 0.677335π-0.677335\pi
0.974056 0.226307i 0.0726654π-0.0726654\pi
318318 −0.403788 1.22170i −0.0226433 0.0685093i
319319 9.50477 0.532165
320320 4.11582 + 4.53325i 0.230081 + 0.253417i
321321 3.70322 0.206694
322322 0.547018 + 1.65505i 0.0304841 + 0.0922323i
323323 4.90367 11.8385i 0.272847 0.658712i
324324 −10.2664 13.8343i −0.570353 0.768571i
325325 19.8862 8.23714i 1.10309 0.456914i
326326 10.0383 + 0.739021i 0.555970 + 0.0409306i
327327 −1.14544 + 1.14544i −0.0633427 + 0.0633427i
328328 −1.05756 6.07934i −0.0583941 0.335676i
329329 16.7422 + 16.7422i 0.923026 + 0.923026i
330330 0.573155 + 0.664253i 0.0315512 + 0.0365659i
331331 −5.91798 14.2873i −0.325281 0.785299i −0.998930 0.0462470i 0.985274π-0.985274\pi
0.673649 0.739052i 0.264726π-0.264726\pi
332332 18.9953 4.76387i 1.04250 0.261451i
333333 10.7438 + 4.45021i 0.588755 + 0.243870i
334334 −5.83058 2.93382i −0.319035 0.160531i
335335 3.99154i 0.218081i
336336 2.65523 0.263056i 0.144855 0.0143509i
337337 4.44955i 0.242383i 0.992629 + 0.121191i 0.0386715π0.0386715\pi
−0.992629 + 0.121191i 0.961329π0.961329\pi
338338 6.85089 13.6152i 0.372639 0.740572i
339339 1.68212 + 0.696756i 0.0913600 + 0.0378426i
340340 4.00941 + 2.40158i 0.217441 + 0.130244i
341341 −10.1995 24.6238i −0.552335 1.33345i
342342 13.2873 11.4650i 0.718493 0.619956i
343343 −8.36330 8.36330i −0.451576 0.451576i
344344 −1.21052 + 5.40158i −0.0652671 + 0.291234i
345345 0.0431257 0.0431257i 0.00232181 0.00232181i
346346 0.771666 10.4817i 0.0414850 0.563501i
347347 7.87485 3.26187i 0.422744 0.175106i −0.161161 0.986928i 0.551524π-0.551524\pi
0.583905 + 0.811822i 0.301524π0.301524\pi
348348 −1.00049 0.148115i −0.0536319 0.00793981i
349349 −12.9387 + 31.2369i −0.692595 + 1.67207i 0.0468913 + 0.998900i 0.485069π0.485069\pi
−0.739486 + 0.673172i 0.764931π0.764931\pi
350350 −19.0393 + 6.29276i −1.01769 + 0.336362i
351351 −6.03212 −0.321971
352352 8.96211 + 20.1791i 0.477682 + 1.07555i
353353 20.7013 1.10182 0.550911 0.834564i 0.314280π-0.314280\pi
0.550911 + 0.834564i 0.314280π0.314280\pi
354354 3.05448 1.00955i 0.162344 0.0536570i
355355 2.68031 6.47085i 0.142256 0.343437i
356356 −3.14108 + 21.2174i −0.166477 + 1.12452i
357357 1.88163 0.779397i 0.0995865 0.0412501i
358358 −0.201592 + 2.73827i −0.0106545 + 0.144722i
359359 −19.9483 + 19.9483i −1.05283 + 1.05283i −0.0543091 + 0.998524i 0.517296π0.517296\pi
−0.998524 + 0.0543091i 0.982704π0.982704\pi
360360 3.42684 + 5.40643i 0.180611 + 0.284944i
361361 −0.980242 0.980242i −0.0515917 0.0515917i
362362 17.1270 14.7782i 0.900177 0.776724i
363363 0.336548 + 0.812498i 0.0176642 + 0.0426451i
364364 −16.0972 + 26.8741i −0.843723 + 1.40858i
365365 −2.84106 1.17680i −0.148708 0.0615968i
366366 −0.468694 + 0.931468i −0.0244990 + 0.0486886i
367367 9.14270i 0.477245i 0.971112 + 0.238623i 0.0766959π0.0766959\pi
−0.971112 + 0.238623i 0.923304π0.923304\pi
368368 1.35322 0.724312i 0.0705417 0.0377574i
369369 6.45087i 0.335819i
370370 −3.80264 1.91340i −0.197690 0.0994731i
371371 −13.0018 5.38552i −0.675020 0.279602i
372372 0.689901 + 2.75089i 0.0357697 + 0.142627i
373373 −3.71974 8.98024i −0.192601 0.464979i 0.797848 0.602858i 0.205972π-0.205972\pi
−0.990449 + 0.137879i 0.955972π0.955972\pi
374374 11.0101 + 12.7600i 0.569318 + 0.659806i
375375 1.05805 + 1.05805i 0.0546375 + 0.0546375i
376376 11.9974 17.0507i 0.618721 0.879320i
377377 8.39635 8.39635i 0.432434 0.432434i
378378 5.60432 + 0.412591i 0.288255 + 0.0212214i
379379 −7.80216 + 3.23176i −0.400770 + 0.166004i −0.573959 0.818884i 0.694593π-0.694593\pi
0.173189 + 0.984889i 0.444593π0.444593\pi
380380 −5.15894 + 3.82843i −0.264648 + 0.196394i
381381 −0.911069 + 2.19951i −0.0466755 + 0.112685i
382382 2.74834 + 8.31533i 0.140617 + 0.425449i
383383 −28.4633 −1.45440 −0.727202 0.686423i 0.759180π-0.759180\pi
−0.727202 + 0.686423i 0.759180π0.759180\pi
384384 −0.628912 2.26375i −0.0320940 0.115521i
385385 9.59587 0.489051
386386 −6.46997 19.5754i −0.329313 0.996364i
387387 −2.21457 + 5.34644i −0.112573 + 0.271775i
388388 −5.96533 + 4.42684i −0.302844 + 0.224739i
389389 −21.0834 + 8.73304i −1.06897 + 0.442783i −0.846628 0.532185i 0.821371π-0.821371\pi
−0.222344 + 0.974968i 0.571371π0.571371\pi
390390 1.09311 + 0.0804746i 0.0553516 + 0.00407499i
391391 0.828427 0.828427i 0.0418954 0.0418954i
392392 5.40031 7.67486i 0.272757 0.387639i
393393 −1.65848 1.65848i −0.0836591 0.0836591i
394394 −18.5025 21.4433i −0.932142 1.08030i
395395 2.85570 + 6.89426i 0.143686 + 0.346888i
396396 5.61500 + 22.3891i 0.282165 + 1.12509i
397397 −6.46808 2.67916i −0.324623 0.134463i 0.214420 0.976742i 0.431214π-0.431214\pi
−0.539043 + 0.842278i 0.681214π0.681214\pi
398398 22.1138 + 11.1272i 1.10846 + 0.557755i
399399 2.79956i 0.140153i
400400 8.33232 + 15.5672i 0.416616 + 0.778359i
401401 24.9871i 1.24780i 0.781505 + 0.623898i 0.214452π0.214452\pi
−0.781505 + 0.623898i 0.785548π0.785548\pi
402402 0.688443 1.36819i 0.0343364 0.0682391i
403403 −30.7623 12.7422i −1.53238 0.634733i
404404 10.0646 16.8026i 0.500731 0.835962i
405405 2.52290 + 6.09083i 0.125364 + 0.302656i
406406 −8.37519 + 7.22658i −0.415654 + 0.358649i
407407 −10.8546 10.8546i −0.538041 0.538041i
408408 −0.960099 1.51472i −0.0475320 0.0749897i
409409 9.19951 9.19951i 0.454887 0.454887i −0.442086 0.896973i 0.645761π-0.645761\pi
0.896973 + 0.442086i 0.145761π0.145761\pi
410410 −0.173378 + 2.35503i −0.00856251 + 0.116307i
411411 −0.929115 + 0.384852i −0.0458298 + 0.0189833i
412412 −0.186681 + 1.26099i −0.00919711 + 0.0621247i
413413 13.4649 32.5071i 0.662563 1.59957i
414414 1.52352 0.503546i 0.0748770 0.0247479i
415415 −7.49430 −0.367881
416416 25.7428 + 9.90890i 1.26215 + 0.485824i
417417 −3.99260 −0.195519
418418 −21.9962 + 7.27005i −1.07587 + 0.355590i
419419 10.4739 25.2863i 0.511685 1.23532i −0.431217 0.902248i 0.641916π-0.641916\pi
0.942902 0.333070i 0.108084π-0.108084\pi
420420 −1.01008 0.149535i −0.0492868 0.00729655i
421421 −16.6841 + 6.91080i −0.813135 + 0.336812i −0.750204 0.661206i 0.770045π-0.770045\pi
−0.0629310 + 0.998018i 0.520045π0.520045\pi
422422 0.398813 5.41717i 0.0194139 0.263703i
423423 15.4117 15.4117i 0.749341 0.749341i
424424 −2.70988 + 12.0920i −0.131603 + 0.587238i
425425 9.53003 + 9.53003i 0.462274 + 0.462274i
426426 −2.03480 + 1.75574i −0.0985862 + 0.0850657i
427427 4.36444 + 10.5367i 0.211210 + 0.509906i
428428 −30.5961 18.3267i −1.47892 0.885854i
429429 3.65162 + 1.51255i 0.176302 + 0.0730267i
430430 0.952171 1.89231i 0.0459178 0.0912555i
431431 26.5985i 1.28121i 0.767872 + 0.640603i 0.221316π0.221316\pi
−0.767872 + 0.640603i 0.778684π0.778684\pi
432432 −0.487834 4.92409i −0.0234709 0.236910i
433433 9.96788i 0.479026i 0.970893 + 0.239513i 0.0769878π0.0769878\pi
−0.970893 + 0.239513i 0.923012π0.923012\pi
434434 27.7091 + 13.9426i 1.33008 + 0.669267i
435435 0.357582 + 0.148115i 0.0171447 + 0.00710158i
436436 15.1322 3.79503i 0.724701 0.181749i
437437 0.616281 + 1.48783i 0.0294807 + 0.0711727i
438438 0.770865 + 0.893388i 0.0368334 + 0.0426877i
439439 17.4631 + 17.4631i 0.833466 + 0.833466i 0.987989 0.154523i 0.0493840π-0.0493840\pi
−0.154523 + 0.987989i 0.549384π0.549384\pi
440440 −1.44814 8.32453i −0.0690371 0.396857i
441441 6.93712 6.93712i 0.330339 0.330339i
442442 20.9981 + 1.54589i 0.998779 + 0.0735303i
443443 34.7377 14.3888i 1.65044 0.683634i 0.653149 0.757229i 0.273447π-0.273447\pi
0.997288 + 0.0735956i 0.0234474π0.0234474\pi
444444 0.973422 + 1.31172i 0.0461966 + 0.0622515i
445445 3.14108 7.58323i 0.148901 0.359480i
446446 −12.2291 37.0001i −0.579064 1.75201i
447447 −0.505697 −0.0239186
448448 −23.2394 10.9670i −1.09796 0.518140i
449449 −8.35000 −0.394061 −0.197030 0.980397i 0.563130π-0.563130\pi
−0.197030 + 0.980397i 0.563130π0.563130\pi
450450 5.79267 + 17.5262i 0.273069 + 0.826194i
451451 −3.25870 + 7.86720i −0.153446 + 0.370452i
452452 −10.4496 14.0811i −0.491506 0.662321i
453453 −1.14337 + 0.473601i −0.0537203 + 0.0222517i
454454 22.2125 + 1.63529i 1.04249 + 0.0767480i
455455 8.47682 8.47682i 0.397400 0.397400i
456456 2.42865 0.422488i 0.113732 0.0197848i
457457 −18.0734 18.0734i −0.845436 0.845436i 0.144123 0.989560i 0.453964π-0.453964\pi
−0.989560 + 0.144123i 0.953964π0.953964\pi
458458 −18.2777 21.1828i −0.854061 0.989807i
459459 −1.44538 3.48946i −0.0674646 0.162874i
460460 −0.569728 + 0.142883i −0.0265637 + 0.00666196i
461461 26.4451 + 10.9539i 1.23167 + 0.510175i 0.901102 0.433607i 0.142759π-0.142759\pi
0.330569 + 0.943782i 0.392759π0.392759\pi
462462 −3.28919 1.65505i −0.153027 0.0769999i
463463 4.94169i 0.229660i 0.993385 + 0.114830i 0.0366323π0.0366323\pi
−0.993385 + 0.114830i 0.963368π0.963368\pi
464464 7.53307 + 6.17500i 0.349714 + 0.286667i
465465 1.08532i 0.0503306i
466466 −6.03151 + 11.9868i −0.279404 + 0.555280i
467467 20.6806 + 8.56617i 0.956983 + 0.396395i 0.805851 0.592118i 0.201708π-0.201708\pi
0.151132 + 0.988514i 0.451708π0.451708\pi
468468 24.7383 + 14.8179i 1.14353 + 0.684960i
469469 −6.41071 15.4768i −0.296019 0.714653i
470470 −6.04057 + 5.21215i −0.278631 + 0.240418i
471471 −2.24246 2.24246i −0.103327 0.103327i
472472 −30.2323 6.77522i −1.39155 0.311855i
473473 5.40158 5.40158i 0.248365 0.248365i
474474 0.210237 2.85570i 0.00965650 0.131167i
475475 −17.1157 + 7.08955i −0.785322 + 0.325291i
476476 −19.4032 2.87250i −0.889344 0.131661i
477477 −4.95753 + 11.9685i −0.226990 + 0.548002i
478478 −35.1800 + 11.6275i −1.60909 + 0.531829i
479479 −5.50637 −0.251592 −0.125796 0.992056i 0.540149π-0.540149\pi
−0.125796 + 0.992056i 0.540149π0.540149\pi
480480 0.0227101 + 0.898823i 0.00103657 + 0.0410255i
481481 −19.1775 −0.874418
482482 −18.3603 + 6.06833i −0.836287 + 0.276405i
483483 −0.0979527 + 0.236479i −0.00445700 + 0.0107602i
484484 1.24036 8.37840i 0.0563800 0.380836i
485485 2.62636 1.08787i 0.119257 0.0493978i
486486 0.571078 7.75709i 0.0259046 0.351869i
487487 24.9561 24.9561i 1.13087 1.13087i 0.140837 0.990033i 0.455021π-0.455021\pi
0.990033 0.140837i 0.0449794π-0.0449794\pi
488488 8.48206 5.37632i 0.383965 0.243375i
489489 1.04513 + 1.04513i 0.0472626 + 0.0472626i
490490 −2.71899 + 2.34610i −0.122831 + 0.105986i
491491 4.79438 + 11.5746i 0.216367 + 0.522357i 0.994377 0.105895i 0.0337708π-0.0337708\pi
−0.778010 + 0.628252i 0.783771π0.783771\pi
492492 0.465613 0.777335i 0.0209915 0.0350450i
493493 6.86900 + 2.84523i 0.309364 + 0.128143i
494494 −13.0088 + 25.8533i −0.585294 + 1.16319i
495495 8.83327i 0.397026i
496496 7.91375 26.1421i 0.355338 1.17382i
497497 29.3949i 1.31854i
498498 2.56884 + 1.29258i 0.115112 + 0.0579220i
499499 8.71684 + 3.61063i 0.390219 + 0.161634i 0.569162 0.822225i 0.307268π-0.307268\pi
−0.178943 + 0.983859i 0.557268π0.557268\pi
500500 −3.50551 13.9778i −0.156771 0.625105i
501501 −0.366786 0.885499i −0.0163868 0.0395612i
502502 13.2054 + 15.3042i 0.589384 + 0.683062i
503503 5.07960 + 5.07960i 0.226488 + 0.226488i 0.811224 0.584736i 0.198802π-0.198802\pi
−0.584736 + 0.811224i 0.698802π0.698802\pi
504504 −21.9704 15.4591i −0.978639 0.688605i
505505 −5.30002 + 5.30002i −0.235848 + 0.235848i
506506 −2.11239 0.155514i −0.0939071 0.00691346i
507507 2.06777 0.856498i 0.0918329 0.0380384i
508508 18.4123 13.6637i 0.816915 0.606229i
509509 −13.5628 + 32.7435i −0.601161 + 1.45133i 0.271227 + 0.962515i 0.412571π0.412571\pi
−0.872388 + 0.488815i 0.837429π0.837429\pi
510510 0.215371 + 0.651622i 0.00953677 + 0.0288543i
511511 12.9060 0.570926
512512 −6.00685 + 21.8155i −0.265468 + 0.964120i
513513 5.19173 0.229221
514514 8.90522 + 26.9435i 0.392792 + 1.18843i
515515 0.186681 0.450688i 0.00822614 0.0198597i
516516 −0.652755 + 0.484406i −0.0287359 + 0.0213248i
517517 −26.5807 + 11.0101i −1.16902 + 0.484223i
518518 17.8174 + 1.31172i 0.782852 + 0.0576337i
519519 1.09130 1.09130i 0.0479028 0.0479028i
520520 −8.63301 6.07450i −0.378583 0.266384i
521521 −17.4496 17.4496i −0.764479 0.764479i 0.212650 0.977129i 0.431791π-0.431791\pi
−0.977129 + 0.212650i 0.931791π0.931791\pi
522522 6.65228 + 7.70960i 0.291162 + 0.337440i
523523 16.6581 + 40.2163i 0.728410 + 1.75854i 0.647825 + 0.761789i 0.275679π0.275679\pi
0.0805847 + 0.996748i 0.474321π0.474321\pi
524524 5.49483 + 21.9099i 0.240043 + 0.957139i
525525 −2.72040 1.12682i −0.118728 0.0491787i
526526 −8.48581 4.26987i −0.369999 0.186175i
527527 20.8486i 0.908179i
528528 −0.939396 + 3.10318i −0.0408820 + 0.135049i
529529 22.8528i 0.993598i
530530 2.13153 4.23613i 0.0925877 0.184006i
531531 −29.9237 12.3948i −1.29858 0.537889i
532532 13.8546 23.1300i 0.600672 1.00281i
533533 4.07107 + 9.82843i 0.176338 + 0.425716i
534534 −2.38459 + 2.05756i −0.103191 + 0.0890394i
535535 9.65087 + 9.65087i 0.417244 + 0.417244i
536536 −12.4589 + 7.89702i −0.538142 + 0.341099i
537537 −0.285094 + 0.285094i −0.0123027 + 0.0123027i
538538 −2.51546 + 34.1681i −0.108449 + 1.47309i
539539 −11.9645 + 4.95587i −0.515349 + 0.213464i
540540 −0.277310 + 1.87318i −0.0119335 + 0.0806086i
541541 15.9692 38.5531i 0.686571 1.65753i −0.0650071 0.997885i 0.520707π-0.520707\pi
0.751578 0.659644i 0.229293π-0.229293\pi
542542 −0.930737 + 0.307622i −0.0399786 + 0.0132135i
543543 3.32180 0.142552
544544 0.436252 + 17.2660i 0.0187041 + 0.740275i
545545 −5.97018 −0.255734
546546 −4.36766 + 1.44358i −0.186919 + 0.0617793i
547547 0.383100 0.924886i 0.0163802 0.0395453i −0.915478 0.402368i 0.868187π-0.868187\pi
0.931858 + 0.362823i 0.118187π0.118187\pi
548548 9.58094 + 1.41839i 0.409277 + 0.0605905i
549549 9.69932 4.01759i 0.413957 0.171467i
550550 1.78900 24.3004i 0.0762833 1.03617i
551551 −7.22658 + 7.22658i −0.307863 + 0.307863i
552552 0.219931 + 0.0492876i 0.00936087 + 0.00209782i
553553 −22.1454 22.1454i −0.941717 0.941717i
554554 31.3084 27.0147i 1.33017 1.14774i
555555 −0.239213 0.577512i −0.0101540 0.0245140i
556556 32.9870 + 19.7588i 1.39896 + 0.837958i
557557 8.29127 + 3.43436i 0.351312 + 0.145518i 0.551359 0.834268i 0.314109π-0.314109\pi
−0.200047 + 0.979786i 0.564109π0.564109\pi
558558 12.8346 25.5071i 0.543331 1.07980i
559559 9.54333i 0.403640i
560560 7.60527 + 6.23418i 0.321381 + 0.263442i
561561 2.47482i 0.104487i
562562 12.4696 + 6.27441i 0.525997 + 0.264670i
563563 −22.7143 9.40857i −0.957293 0.396524i −0.151326 0.988484i 0.548354π-0.548354\pi
−0.805967 + 0.591960i 0.798354π0.798354\pi
564564 2.96951 0.744728i 0.125039 0.0313587i
565565 2.56792 + 6.19951i 0.108033 + 0.260816i
566566 −14.6079 16.9297i −0.614015 0.711607i
567567 −19.5646 19.5646i −0.821637 0.821637i
568568 25.5004 4.43605i 1.06997 0.186132i
569569 −16.6413 + 16.6413i −0.697639 + 0.697639i −0.963901 0.266262i 0.914211π-0.914211\pi
0.266262 + 0.963901i 0.414211π0.414211\pi
570570 −0.940816 0.0692630i −0.0394064 0.00290111i
571571 9.37532 3.88338i 0.392345 0.162515i −0.177785 0.984069i 0.556893π-0.556893\pi
0.570129 + 0.821555i 0.306893π0.306893\pi
572572 −22.6844 30.5681i −0.948483 1.27811i
573573 −0.492136 + 1.18812i −0.0205593 + 0.0496345i
574574 −3.11009 9.40986i −0.129813 0.392760i
575575 −1.69382 −0.0706371
576576 −10.0954 + 21.3926i −0.420642 + 0.891357i
577577 −23.0348 −0.958951 −0.479476 0.877555i 0.659173π-0.659173\pi
−0.479476 + 0.877555i 0.659173π0.659173\pi
578578 −3.40751 10.3097i −0.141734 0.428828i
579579 1.15856 2.79700i 0.0481480 0.116239i
580580 −2.22135 2.99335i −0.0922365 0.124292i
581581 29.0584 12.0364i 1.20555 0.499354i
582582 −1.08787 0.0800895i −0.0450938 0.00331981i
583583 12.0920 12.0920i 0.500798 0.500798i
584584 −1.94767 11.1961i −0.0805952 0.463297i
585585 −7.80316 7.80316i −0.322621 0.322621i
586586 9.85571 + 11.4222i 0.407136 + 0.471847i
587587 1.02732 + 2.48018i 0.0424022 + 0.102368i 0.943662 0.330912i 0.107356π-0.107356\pi
−0.901260 + 0.433280i 0.857356π0.857356\pi
588588 1.33664 0.335218i 0.0551220 0.0138242i
589589 26.4766 + 10.9670i 1.09095 + 0.451885i
590590 10.5912 + 5.32924i 0.436031 + 0.219401i
591591 4.15894i 0.171076i
592592 −1.55093 15.6548i −0.0637430 0.643408i
593593 13.9339i 0.572197i 0.958200 + 0.286098i 0.0923584π0.0923584\pi
−0.958200 + 0.286098i 0.907642π0.907642\pi
594594 −3.06926 + 6.09976i −0.125933 + 0.250276i
595595 6.93484 + 2.87250i 0.284301 + 0.117761i
596596 4.17808 + 2.50262i 0.171141 + 0.102511i
597597 1.39112 + 3.35846i 0.0569347 + 0.137452i
598598 −2.00343 + 1.72867i −0.0819262 + 0.0706906i
599599 −7.02222 7.02222i −0.286920 0.286920i 0.548941 0.835861i 0.315031π-0.315031\pi
−0.835861 + 0.548941i 0.815031π0.815031\pi
600600 −0.566993 + 2.53003i −0.0231474 + 0.103288i
601601 24.0970 24.0970i 0.982938 0.982938i −0.0169188 0.999857i 0.505386π-0.505386\pi
0.999857 + 0.0169188i 0.00538568π0.00538568\pi
602602 −0.652755 + 8.86652i −0.0266043 + 0.361373i
603603 −14.2469 + 5.90125i −0.580177 + 0.240317i
604604 11.7904 + 1.74548i 0.479743 + 0.0710224i
605605 −1.24036 + 2.99450i −0.0504278 + 0.121744i
606606 2.73082 0.902576i 0.110932 0.0366646i
607607 −27.8275 −1.12948 −0.564742 0.825268i 0.691024π-0.691024\pi
−0.564742 + 0.825268i 0.691024π0.691024\pi
608608 −22.1564 8.52841i −0.898560 0.345873i
609609 −1.62437 −0.0658229
610610 −3.64893 + 1.20602i −0.147741 + 0.0488305i
611611 −13.7548 + 33.2070i −0.556460 + 1.34341i
612612 −2.64422 + 17.8612i −0.106886 + 0.721997i
613613 −9.98279 + 4.13501i −0.403201 + 0.167011i −0.575062 0.818110i 0.695022π-0.695022\pi
0.171861 + 0.985121i 0.445022π0.445022\pi
614614 0.782532 10.6293i 0.0315804 0.428964i
615615 −0.245193 + 0.245193i −0.00988714 + 0.00988714i
616616 18.9848 + 29.9518i 0.764920 + 1.20679i
617617 23.2080 + 23.2080i 0.934318 + 0.934318i 0.997972 0.0636543i 0.0202755π-0.0202755\pi
−0.0636543 + 0.997972i 0.520275π0.520275\pi
618618 −0.141721 + 0.122285i −0.00570087 + 0.00491903i
619619 −11.5644 27.9189i −0.464811 1.12215i −0.966399 0.257047i 0.917251π-0.917251\pi
0.501588 0.865107i 0.332749π-0.332749\pi
620620 −5.37109 + 8.96695i −0.215708 + 0.360122i
621621 0.438546 + 0.181652i 0.0175982 + 0.00728943i
622622 4.18038 8.30795i 0.167618 0.333118i
623623 34.4481i 1.38013i
624624 1.91145 + 3.57115i 0.0765194 + 0.142960i
625625 16.5563i 0.662254i
626626 0.581831 + 0.292764i 0.0232546 + 0.0117012i
627627 −3.14288 1.30182i −0.125515 0.0519899i
628628 7.42967 + 29.6248i 0.296476 + 1.18216i
629629 −4.59519 11.0938i −0.183222 0.442338i
630630 6.71604 + 7.78350i 0.267573 + 0.310102i
631631 −1.34980 1.34980i −0.0537346 0.0537346i 0.679729 0.733463i 0.262097π-0.262097\pi
−0.733463 + 0.679729i 0.762097π0.762097\pi
632632 −15.8694 + 22.5534i −0.631250 + 0.897127i
633633 0.564006 0.564006i 0.0224172 0.0224172i
634634 −29.2214 2.15129i −1.16053 0.0854385i
635635 −8.10641 + 3.35778i −0.321693 + 0.133250i
636636 −1.46126 + 1.08439i −0.0579426 + 0.0429989i
637637 −6.19133 + 14.9472i −0.245309 + 0.592229i
638638 −4.21827 12.7627i −0.167003 0.505282i
639639 27.0588 1.07043
640640 4.26050 7.53849i 0.168411 0.297985i
641641 41.5334 1.64047 0.820235 0.572027i 0.193843π-0.193843\pi
0.820235 + 0.572027i 0.193843π0.193843\pi
642642 −1.64351 4.97259i −0.0648642 0.196252i
643643 −1.57282 + 3.79713i −0.0620261 + 0.149744i −0.951854 0.306553i 0.900824π-0.900824\pi
0.889828 + 0.456297i 0.150824π0.150824\pi
644644 1.97958 1.46904i 0.0780066 0.0578883i
645645 0.287389 0.119040i 0.0113159 0.00468721i
646646 −18.0727 1.33051i −0.711060 0.0523484i
647647 −5.84193 + 5.84193i −0.229670 + 0.229670i −0.812555 0.582885i 0.801924π-0.801924\pi
0.582885 + 0.812555i 0.301924π0.301924\pi
648648 −14.0200 + 19.9251i −0.550758 + 0.782732i
649649 30.2323 + 30.2323i 1.18672 + 1.18672i
650650 −19.8862 23.0470i −0.780001 0.903976i
651651 1.74311 + 4.20823i 0.0683177 + 0.164934i
652652 −3.46271 13.8071i −0.135610 0.540729i
653653 −26.0231 10.7791i −1.01836 0.421820i −0.189864 0.981810i 0.560805π-0.560805\pi
−0.828499 + 0.559991i 0.810805π0.810805\pi
654654 2.04641 + 1.02971i 0.0800209 + 0.0402648i
655655 8.64422i 0.337758i
656656 −7.69382 + 4.11811i −0.300393 + 0.160785i
657657 11.8803i 0.463495i
658658 15.0507 29.9112i 0.586736 1.16606i
659659 37.6498 + 15.5951i 1.46663 + 0.607497i 0.966087 0.258215i 0.0831344π-0.0831344\pi
0.500541 + 0.865713i 0.333134π0.333134\pi
660660 0.637571 1.06442i 0.0248174 0.0414323i
661661 3.14241 + 7.58644i 0.122226 + 0.295078i 0.973136 0.230233i 0.0739488π-0.0739488\pi
−0.850910 + 0.525311i 0.823949π0.823949\pi
662662 −16.5581 + 14.2873i −0.643549 + 0.555290i
663663 2.18621 + 2.18621i 0.0849054 + 0.0849054i
664664 −14.8270 23.3921i −0.575399 0.907790i
665665 −7.29585 + 7.29585i −0.282921 + 0.282921i
666666 1.20748 16.4015i 0.0467888 0.635543i
667667 −0.863279 + 0.357582i −0.0334263 + 0.0138456i
668668 −1.35181 + 9.13118i −0.0523029 + 0.353296i
669669 2.18982 5.28670i 0.0846634 0.204395i
670670 5.35973 1.77147i 0.207065 0.0684378i
671671 −13.8584 −0.534997
672672 −1.53163 3.44862i −0.0590840 0.133034i
673673 −5.24262 −0.202088 −0.101044 0.994882i 0.532218π-0.532218\pi
−0.101044 + 0.994882i 0.532218π0.532218\pi
674674 5.97474 1.97474i 0.230138 0.0760640i
675675 −2.08968 + 5.04493i −0.0804318 + 0.194179i
676676 −21.3226 3.15666i −0.820102 0.121410i
677677 14.5716 6.03574i 0.560031 0.231972i −0.0846677 0.996409i 0.526983π-0.526983\pi
0.644699 + 0.764437i 0.276983π0.276983\pi
678678 0.189051 2.56792i 0.00726046 0.0986205i
679679 −8.43625 + 8.43625i −0.323754 + 0.323754i
680680 1.44538 6.44955i 0.0554278 0.247329i
681681 2.31265 + 2.31265i 0.0886210 + 0.0886210i
682682 −28.5376 + 24.6238i −1.09276 + 0.942894i
683683 −14.9028 35.9785i −0.570240 1.37668i −0.901351 0.433089i 0.857424π-0.857424\pi
0.331112 0.943592i 0.392576π-0.392576\pi
684684 −21.2918 12.7535i −0.814114 0.487643i
685685 −3.42429 1.41839i −0.130835 0.0541938i
686686 −7.51833 + 14.9417i −0.287051 + 0.570476i
687687 4.10842i 0.156746i
688688 7.79033 0.771795i 0.297004 0.0294244i
689689 21.3637i 0.813892i
690690 −0.0770474 0.0387685i −0.00293314 0.00147589i
691691 14.6714 + 6.07710i 0.558127 + 0.231184i 0.643872 0.765133i 0.277327π-0.277327\pi
−0.0857448 + 0.996317i 0.527327π0.527327\pi
692692 −14.4170 + 3.61568i −0.548053 + 0.137447i
693693 14.1869 + 34.2502i 0.538915 + 1.30106i
694694 −7.87485 9.12649i −0.298925 0.346437i
695695 −10.4050 10.4050i −0.394685 0.394685i
696696 0.245138 + 1.40916i 0.00929193 + 0.0534142i
697697 −4.71006 + 4.71006i −0.178406 + 0.178406i
698698 47.6863 + 3.51067i 1.80495 + 0.132881i
699699 −1.82046 + 0.754059i −0.0688561 + 0.0285211i
700700 16.8995 + 22.7727i 0.638741 + 0.860726i
701701 9.58351 23.1366i 0.361964 0.873859i −0.633049 0.774112i 0.718197π-0.718197\pi
0.995013 0.0997466i 0.0318032π-0.0318032\pi
702702 2.67709 + 8.09976i 0.101040 + 0.305706i
703703 16.5057 0.622524
704704 23.1185 20.9897i 0.871311 0.791078i
705705 −1.17157 −0.0441240
706706 −9.18737 27.7972i −0.345771 1.04616i
707707 12.0381 29.0625i 0.452739 1.09301i
708708 −2.71119 3.65343i −0.101893 0.137304i
709709 27.4256 11.3601i 1.02999 0.426636i 0.197282 0.980347i 0.436789π-0.436789\pi
0.832709 + 0.553711i 0.186789π0.186789\pi
710710 −9.87841 0.727250i −0.370730 0.0272932i
711711 −20.3855 + 20.3855i −0.764515 + 0.764515i
712712 29.8841 5.19864i 1.11996 0.194827i
713713 1.85276 + 1.85276i 0.0693864 + 0.0693864i
714714 −1.88163 2.18070i −0.0704183 0.0816107i
715715 5.57457 + 13.4582i 0.208477 + 0.503309i
716716 3.76634 0.944569i 0.140755 0.0353002i
717717 −5.02663 2.08210i −0.187723 0.0777573i
718718 35.6393 + 17.9329i 1.33005 + 0.669249i
719719 38.9976i 1.45436i −0.686445 0.727182i 0.740830π-0.740830\pi
0.686445 0.727182i 0.259170π-0.259170\pi
720720 5.73875 7.00087i 0.213871 0.260907i
721721 2.04732i 0.0762462i
722722 −0.881204 + 1.75128i −0.0327950 + 0.0651758i
723723 −2.62337 1.08664i −0.0975643 0.0404124i
724724 −27.4448 16.4391i −1.01998 0.610953i
725725 −4.11354 9.93095i −0.152773 0.368826i
726726 0.941637 0.812498i 0.0349474 0.0301546i
727727 34.9474 + 34.9474i 1.29613 + 1.29613i 0.930930 + 0.365198i 0.118999π0.118999\pi
0.365198 + 0.930930i 0.381001π0.381001\pi
728728 43.2298 + 9.68802i 1.60220 + 0.359062i
729729 −17.4649 + 17.4649i −0.646846 + 0.646846i
730730 −0.319303 + 4.33717i −0.0118179 + 0.160526i
731731 5.52062 2.28672i 0.204188 0.0845773i
732732 1.45876 + 0.215959i 0.0539173 + 0.00798206i
733733 −13.8093 + 33.3387i −0.510060 + 1.23139i 0.433789 + 0.901015i 0.357176π0.357176\pi
−0.943849 + 0.330378i 0.892824π0.892824\pi
734734 12.2766 4.05758i 0.453136 0.149768i
735735 −0.527350 −0.0194516
736736 −1.57316 1.49562i −0.0579873 0.0551292i
737737 20.3559 0.749819
738738 −8.66205 + 2.86293i −0.318854 + 0.105386i
739739 6.75096 16.2983i 0.248338 0.599542i −0.749725 0.661750i 0.769814π-0.769814\pi
0.998063 + 0.0622080i 0.0198142π0.0198142\pi
740740 −0.881632 + 5.95525i −0.0324094 + 0.218919i
741741 −3.92638 + 1.62636i −0.144239 + 0.0597458i
742742 −1.46126 + 19.8486i −0.0536444 + 0.728664i
743743 −20.6145 + 20.6145i −0.756272 + 0.756272i −0.975642 0.219370i 0.929600π-0.929600\pi
0.219370 + 0.975642i 0.429600π0.429600\pi
744744 3.38764 2.14724i 0.124197 0.0787217i
745745 −1.31788 1.31788i −0.0482835 0.0482835i
746746 −10.4076 + 8.98024i −0.381048 + 0.328790i
747747 −11.0799 26.7491i −0.405391 0.978700i
748748 12.2475 20.4470i 0.447812 0.747616i
749749 −52.9203 21.9203i −1.93367 0.800951i
750750 0.951153 1.89029i 0.0347312 0.0690237i
751751 27.0344i 0.986499i 0.869888 + 0.493249i 0.164191π0.164191\pi
−0.869888 + 0.493249i 0.835809π0.835809\pi
752752 −28.2197 8.54266i −1.02907 0.311519i
753753 2.96827i 0.108170i
754754 −15.0007 7.54804i −0.546294 0.274883i
755755 −4.21395 1.74548i −0.153361 0.0635244i
756756 −1.93321 7.70844i −0.0703103 0.280353i
757757 −19.5424 47.1795i −0.710280 1.71477i −0.699300 0.714828i 0.746505π-0.746505\pi
−0.0109802 0.999940i 0.503495π-0.503495\pi
758758 7.80216 + 9.04225i 0.283387 + 0.328429i
759759 −0.219931 0.219931i −0.00798297 0.00798297i
760760 7.43027 + 5.22820i 0.269524 + 0.189647i
761761 −2.53714 + 2.53714i −0.0919713 + 0.0919713i −0.751596 0.659624i 0.770715π-0.770715\pi
0.659624 + 0.751596i 0.270715π0.270715\pi
762762 3.35778 + 0.247201i 0.121640 + 0.00895514i
763763 23.1488 9.58854i 0.838042 0.347129i
764764 9.94587 7.38078i 0.359829 0.267027i
765765 2.64422 6.38372i 0.0956021 0.230804i
766766 12.6322 + 38.2197i 0.456418 + 1.38093i
767767 53.4134 1.92865
768768 −2.76058 + 1.84915i −0.0996140 + 0.0667255i
769769 −24.0627 −0.867725 −0.433862 0.900979i 0.642850π-0.642850\pi
−0.433862 + 0.900979i 0.642850π0.642850\pi
770770 −4.25870 12.8851i −0.153473 0.464345i
771771 −1.59463 + 3.84977i −0.0574291 + 0.138646i
772772 −23.4140 + 17.3754i −0.842687 + 0.625354i
773773 −43.4146 + 17.9829i −1.56152 + 0.646801i −0.985352 0.170534i 0.945451π-0.945451\pi
−0.576163 + 0.817335i 0.695451π0.695451\pi
774774 8.16189 + 0.600880i 0.293373 + 0.0215982i
775775 −21.3137 + 21.3137i −0.765611 + 0.765611i
776776 8.59169 + 6.04542i 0.308424 + 0.217018i
777777 1.85505 + 1.85505i 0.0665497 + 0.0665497i
778778 21.0834 + 24.4345i 0.755877 + 0.876018i
779779 −3.50389 8.45914i −0.125540 0.303080i
780780 −0.377067 1.50351i −0.0135012 0.0538342i
781781 −32.9997 13.6689i −1.18082 0.489113i
782782 −1.48005 0.744728i −0.0529265 0.0266314i
783783 3.01237i 0.107653i
784784 −12.7023 3.84523i −0.453653 0.137330i
785785 11.6880i 0.417163i
786786 −1.49091 + 2.96300i −0.0531792 + 0.105687i
787787 −4.62213 1.91455i −0.164761 0.0682463i 0.298778 0.954323i 0.403421π-0.403421\pi
−0.463540 + 0.886076i 0.653421π0.653421\pi
788788 −20.5820 + 34.3613i −0.733202 + 1.22407i
789789 −0.533819 1.28875i −0.0190045 0.0458808i
790790 7.99005 6.89426i 0.284273 0.245287i
791791 −19.9137 19.9137i −0.708051 0.708051i
792792 27.5715 17.4761i 0.979710 0.620985i
793793 −12.2423 + 12.2423i −0.434735 + 0.434735i
794794 −0.726939 + 9.87418i −0.0257981 + 0.350422i
795795 0.643348 0.266484i 0.0228172 0.00945120i
796796 5.12703 34.6321i 0.181723 1.22750i
797797 −7.78397 + 18.7922i −0.275722 + 0.665653i −0.999708 0.0241622i 0.992308π-0.992308\pi
0.723986 + 0.689815i 0.242308π0.242308\pi
798798 3.75916 1.24246i 0.133073 0.0439825i
799799 −22.5054 −0.796185
800800 17.2052 18.0972i 0.608297 0.639833i
801801 31.7104 1.12043
802802 33.5520 11.0894i 1.18476 0.391581i
803803 −6.00142 + 14.4887i −0.211785 + 0.511295i
804804 −2.14270 0.317211i −0.0755672 0.0111872i
805805 −0.871553 + 0.361009i −0.0307182 + 0.0127239i
806806 −3.45734 + 46.9618i −0.121780 + 1.65416i
807807 −3.55740 + 3.55740i −0.125227 + 0.125227i
808808 −27.0288 6.05730i −0.950870 0.213095i
809809 −5.79631 5.79631i −0.203787 0.203787i 0.597833 0.801621i 0.296029π-0.296029\pi
−0.801621 + 0.597833i 0.796029π0.796029\pi
810810 7.05891 6.09083i 0.248025 0.214010i
811811 −2.59457 6.26386i −0.0911078 0.219954i 0.871757 0.489939i 0.162981π-0.162981\pi
−0.962864 + 0.269986i 0.912981π0.912981\pi
812812 13.4206 + 8.03877i 0.470971 + 0.282105i
813813 −0.132987 0.0550849i −0.00466405 0.00193191i
814814 −9.75789 + 19.3925i −0.342014 + 0.679708i
815815 5.44739i 0.190814i
816816 −1.60782 + 1.96143i −0.0562851 + 0.0686639i
817817 8.21377i 0.287363i
818818 −16.4356 8.27005i −0.574659 0.289156i
819819 42.7885 + 17.7236i 1.49515 + 0.619311i
820820 3.23921 0.812369i 0.113118 0.0283691i
821821 14.5014 + 35.0095i 0.506103 + 1.22184i 0.946110 + 0.323847i 0.104976π0.104976\pi
−0.440006 + 0.897995i 0.645024π0.645024\pi
822822 0.929115 + 1.07679i 0.0324066 + 0.0375573i
823823 −6.84972 6.84972i −0.238766 0.238766i 0.577573 0.816339i 0.304000π-0.304000\pi
−0.816339 + 0.577573i 0.804000π0.804000\pi
824824 1.77608 0.308966i 0.0618726 0.0107633i
825825 2.53003 2.53003i 0.0880843 0.0880843i
826826 −49.6254 3.65343i −1.72669 0.127119i
827827 27.6932 11.4709i 0.962987 0.398882i 0.154890 0.987932i 0.450498π-0.450498\pi
0.808097 + 0.589049i 0.200498π0.200498\pi
828828 −1.35229 1.82227i −0.0469955 0.0633281i
829829 1.60232 3.86834i 0.0556509 0.134353i −0.893609 0.448847i 0.851835π-0.851835\pi
0.949259 + 0.314494i 0.101835π0.101835\pi
830830 3.32601 + 10.0631i 0.115448 + 0.349297i
831831 6.07228 0.210645
832832 1.88057 38.9644i 0.0651972 1.35085i
833833 −10.1302 −0.350990
834834 1.77194 + 5.36115i 0.0613572 + 0.185642i
835835 1.35181 3.26355i 0.0467811 0.112940i
836836 19.5240 + 26.3094i 0.675253 + 0.909928i
837837 7.80409 3.23256i 0.269749 0.111734i
838838 −38.6022 2.84190i −1.33349 0.0981717i
839839 11.4718 11.4718i 0.396050 0.396050i −0.480787 0.876837i 0.659649π-0.659649\pi
0.876837 + 0.480787i 0.159649π0.159649\pi
840840 0.247488 + 1.42267i 0.00853913 + 0.0490868i
841841 16.3131 + 16.3131i 0.562519 + 0.562519i
842842 16.6841 + 19.3359i 0.574973 + 0.666361i
843843 0.784427 + 1.89377i 0.0270171 + 0.0652250i
844844 −7.45101 + 1.86865i −0.256474 + 0.0643217i
845845 7.62086 + 3.15666i 0.262165 + 0.108592i
846846 −27.5341 13.8546i −0.946643 0.476330i
847847 13.6030i 0.467404i
848848 17.4394 1.72774i 0.598872 0.0593308i
849849 3.28352i 0.112690i
850850 8.56718 17.0261i 0.293852 0.583992i
851851 1.39424 + 0.577512i 0.0477939 + 0.0197969i
852852 3.26061 + 1.95306i 0.111707 + 0.0669108i
853853 −4.85275 11.7156i −0.166155 0.401133i 0.818769 0.574124i 0.194657π-0.194657\pi
−0.984924 + 0.172990i 0.944657π0.944657\pi
854854 12.2114 10.5367i 0.417865 0.360558i
855855 6.71604 + 6.71604i 0.229684 + 0.229684i
856856 −11.0298 + 49.2171i −0.376992 + 1.68221i
857857 −13.5307 + 13.5307i −0.462200 + 0.462200i −0.899376 0.437176i 0.855979π-0.855979\pi
0.437176 + 0.899376i 0.355979π0.355979\pi
858858 0.410401 5.57457i 0.0140109 0.190313i
859859 −50.3433 + 20.8529i −1.71769 + 0.711491i −0.717808 + 0.696241i 0.754855π0.754855\pi
−0.999884 + 0.0152507i 0.995145π0.995145\pi
860860 −2.96353 0.438728i −0.101055 0.0149605i
861861 0.556914 1.34451i 0.0189796 0.0458208i
862862 35.7158 11.8046i 1.21648 0.402066i
863863 −9.50637 −0.323601 −0.161800 0.986824i 0.551730π-0.551730\pi
−0.161800 + 0.986824i 0.551730π0.551730\pi
864864 −6.39542 + 2.84039i −0.217577 + 0.0966319i
865865 5.68802 0.193399
866866 13.3846 4.42380i 0.454827 0.150327i
867867 0.610172 1.47309i 0.0207225 0.0500286i
868868 6.42429 43.3949i 0.218055 1.47292i
869869 35.1591 14.5634i 1.19269 0.494028i
870870 0.0401882 0.545885i 0.00136251 0.0185072i
871871 17.9821 17.9821i 0.609299 0.609299i
872872 −11.8116 18.6348i −0.399992 0.631055i
873873 7.76582 + 7.76582i 0.262833 + 0.262833i
874874 1.72431 1.48783i 0.0583257 0.0503267i
875875 −8.85704 21.3828i −0.299423 0.722870i
876876 0.857502 1.43159i 0.0289723 0.0483688i
877877 16.7883 + 6.95392i 0.566899 + 0.234817i 0.647677 0.761915i 0.275741π-0.275741\pi
−0.0807782 + 0.996732i 0.525741π0.525741\pi
878878 15.6987 31.1991i 0.529806 1.05292i
879879 2.21534i 0.0747216i
880880 −10.5353 + 5.63899i −0.355144 + 0.190090i
881881 46.9687i 1.58242i −0.611547 0.791208i 0.709453π-0.709453\pi
0.611547 0.791208i 0.290547π-0.290547\pi
882882 −12.3937 6.23623i −0.417317 0.209985i
883883 11.0237 + 4.56617i 0.370978 + 0.153664i 0.560380 0.828236i 0.310655π-0.310655\pi
−0.189403 + 0.981900i 0.560655π0.560655\pi
884884 −7.24331 28.8818i −0.243619 0.971399i
885885 0.666261 + 1.60850i 0.0223961 + 0.0540690i
886886 −34.7377 40.2590i −1.16704 1.35253i
887887 31.9419 + 31.9419i 1.07250 + 1.07250i 0.997157 + 0.0753464i 0.0240063π0.0240063\pi
0.0753464 + 0.997157i 0.475994π0.475994\pi
888888 1.32933 1.88923i 0.0446095 0.0633985i
889889 26.0390 26.0390i 0.873319 0.873319i
890890 −11.5766 0.852270i −0.388048 0.0285682i
891891 31.0617 12.8662i 1.04061 0.431034i
892892 −44.2554 + 32.8417i −1.48178 + 1.09962i
893893 11.8385 28.5807i 0.396160 0.956416i
894894 0.224431 + 0.679036i 0.00750610 + 0.0227104i
895895 −1.48595 −0.0496699
896896 −4.41233 + 36.0724i −0.147406 + 1.20510i
897897 −0.388566 −0.0129738
898898 3.70578 + 11.2121i 0.123663 + 0.374154i
899899 −6.36330 + 15.3624i −0.212228 + 0.512364i
900900 20.9629 15.5565i 0.698764 0.518549i
901901 12.3585 5.11904i 0.411720 0.170540i
902902 12.0101 + 0.884184i 0.399892 + 0.0294401i
903903 −0.923135 + 0.923135i −0.0307200 + 0.0307200i
904904 −14.2702 + 20.2807i −0.474620 + 0.674525i
905905 8.65685 + 8.65685i 0.287764 + 0.287764i
906906 1.14337 + 1.32510i 0.0379860 + 0.0440236i
907907 4.99616 + 12.0618i 0.165895 + 0.400505i 0.984863 0.173333i 0.0554538π-0.0554538\pi
−0.818969 + 0.573838i 0.805454π0.805454\pi
908908 −7.66223 30.5521i −0.254280 1.01391i
909909 −26.7529 11.0814i −0.887338 0.367547i
910910 −15.1445 7.62038i −0.502035 0.252613i
911911 13.1188i 0.434645i −0.976100 0.217322i 0.930268π-0.930268\pi
0.976100 0.217322i 0.0697323π-0.0697323\pi
912912 −1.64515 3.07362i −0.0544765 0.101778i
913913 38.2191i 1.26487i
914914 −16.2473 + 32.2895i −0.537414 + 1.06804i
915915 −0.521370 0.215959i −0.0172360 0.00713937i
916916 −20.3319 + 33.9438i −0.671785 + 1.12154i
917917 13.8833 + 33.5171i 0.458465 + 1.10683i
918918 −4.04408 + 3.48946i −0.133474 + 0.115169i
919919 −17.2415 17.2415i −0.568746 0.568746i 0.363031 0.931777i 0.381742π-0.381742\pi
−0.931777 + 0.363031i 0.881742π0.881742\pi
920920 0.444708 + 0.701602i 0.0146616 + 0.0231311i
921921 1.10667 1.10667i 0.0364659 0.0364659i
922922 2.97213 40.3712i 0.0978819 1.32955i
923923 −41.2263 + 17.0765i −1.35698 + 0.562080i
924924 −0.762591 + 5.15116i −0.0250874 + 0.169461i
925925 −6.64357 + 16.0390i −0.218439 + 0.527359i
926926 6.63556 2.19315i 0.218058 0.0720714i
927927 1.88462 0.0618990
928928 4.94840 12.8557i 0.162439 0.422009i
929929 −45.9966 −1.50910 −0.754550 0.656242i 0.772145π-0.772145\pi
−0.754550 + 0.656242i 0.772145π0.772145\pi
930930 −1.45734 + 0.481672i −0.0477880 + 0.0157946i
931931 5.32876 12.8648i 0.174643 0.421626i
932932 18.7724 + 2.77912i 0.614911 + 0.0910331i
933933 1.26174 0.522630i 0.0413076 0.0171101i
934934 2.32426 31.5710i 0.0760522 1.03303i
935935 −6.44955 + 6.44955i −0.210923 + 0.210923i
936936 8.91811 39.7942i 0.291497 1.30072i
937937 −3.67273 3.67273i −0.119983 0.119983i 0.644566 0.764549i 0.277038π-0.277038\pi
−0.764549 + 0.644566i 0.777038π0.777038\pi
938938 −17.9367 + 15.4768i −0.585655 + 0.505336i
939939 0.0366014 + 0.0883635i 0.00119444 + 0.00288363i
940940 9.67956 + 5.79793i 0.315713 + 0.189108i
941941 41.7873 + 17.3089i 1.36223 + 0.564253i 0.939670 0.342083i 0.111132π-0.111132\pi
0.422558 + 0.906336i 0.361132π0.361132\pi
942942 −2.01589 + 4.00633i −0.0656814 + 0.130533i
943943 0.837141i 0.0272611i
944944 4.31969 + 43.6020i 0.140594 + 1.41912i
945945 3.04125i 0.0989317i
946946 −9.65035 4.85584i −0.313760 0.157877i
947947 −43.6427 18.0774i −1.41820 0.587436i −0.463790 0.885945i 0.653511π-0.653511\pi
−0.954407 + 0.298509i 0.903511π0.903511\pi
948948 −3.92785 + 0.985074i −0.127571 + 0.0319937i
949949 7.49753 + 18.1006i 0.243380 + 0.587571i
950950 17.1157 + 19.8361i 0.555306 + 0.643568i
951951 −3.04238 3.04238i −0.0986559 0.0986559i
952952 4.75413 + 27.3289i 0.154082 + 0.885735i
953953 6.12750 6.12750i 0.198489 0.198489i −0.600863 0.799352i 0.705176π-0.705176\pi
0.799352 + 0.600863i 0.205176π0.205176\pi
954954 18.2712 + 1.34513i 0.591552 + 0.0435502i
955955 −4.37887 + 1.81379i −0.141697 + 0.0586928i
956956 31.2261 + 42.0783i 1.00993 + 1.36091i
957957 0.755352 1.82358i 0.0244171 0.0589480i
958958 2.44376 + 7.39380i 0.0789542 + 0.238883i
959959 15.5554 0.502310
960960 1.19684 0.429397i 0.0386277 0.0138587i
961961 15.6274 0.504110
962962 8.51107 + 25.7510i 0.274408 + 0.830245i
963963 −20.1783 + 48.7147i −0.650237 + 1.56981i
964964 16.2968 + 21.9605i 0.524884 + 0.707300i
965965 10.3085 4.26991i 0.331842 0.137453i
966966 0.361009 + 0.0265775i 0.0116153 + 0.000855118i
967967 1.03516 1.03516i 0.0332885 0.0332885i −0.690267 0.723555i 0.742507π-0.742507\pi
0.723555 + 0.690267i 0.242507π0.242507\pi
968968 −11.8008 + 2.05286i −0.379291 + 0.0659814i
969969 −1.88163 1.88163i −0.0604467 0.0604467i
970970 −2.62636 3.04380i −0.0843273 0.0977305i
971971 15.4218 + 37.2315i 0.494909 + 1.19482i 0.952194 + 0.305495i 0.0988221π0.0988221\pi
−0.457285 + 0.889320i 0.651178π0.651178\pi
972972 −10.6694 + 2.67581i −0.342223 + 0.0858267i
973973 57.0556 + 23.6332i 1.82912 + 0.757646i
974974 −44.5861 22.4347i −1.42863 0.718855i
975975 4.46997i 0.143154i
976976 −10.9836 9.00343i −0.351575 0.288193i
977977 28.8457i 0.922857i −0.887177 0.461429i 0.847337π-0.847337\pi
0.887177 0.461429i 0.152663π-0.152663\pi
978978 0.939540 1.86721i 0.0300432 0.0597068i
979979 −38.6727 16.0187i −1.23598 0.511961i
980980 4.35698 + 2.60977i 0.139179 + 0.0833661i
981981 −8.82653 21.3091i −0.281809 0.680348i
982982 13.4143 11.5746i 0.428069 0.369362i
983983 −40.9561 40.9561i −1.30630 1.30630i −0.924067 0.382231i 0.875156π-0.875156\pi
−0.382231 0.924067i 0.624844π-0.624844\pi
984984 −1.25043 0.280227i −0.0398621 0.00893331i
985985 10.8385 10.8385i 0.345344 0.345344i
986986 0.771998 10.4862i 0.0245854 0.333950i
987987 4.54266 1.88163i 0.144594 0.0598930i
988988 40.4885 + 5.99402i 1.28811 + 0.190695i
989989 −0.287389 + 0.693818i −0.00913843 + 0.0220621i
990990 −11.8611 + 3.92026i −0.376970 + 0.124594i
991991 −41.9605 −1.33292 −0.666460 0.745541i 0.732191π-0.732191\pi
−0.666460 + 0.745541i 0.732191π0.732191\pi
992992 −38.6151 + 0.975667i −1.22603 + 0.0309775i
993993 −3.21145 −0.101912
994994 39.4706 13.0456i 1.25193 0.413781i
995995 −5.12703 + 12.3777i −0.162538 + 0.392401i
996996 0.595578 4.02302i 0.0188716 0.127474i
997997 −31.4380 + 13.0221i −0.995652 + 0.412413i −0.820201 0.572076i 0.806138π-0.806138\pi
−0.175451 + 0.984488i 0.556138π0.556138\pi
998998 0.979674 13.3071i 0.0310111 0.421230i
999999 3.44017 3.44017i 0.108842 0.108842i
Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 32.2.g.b.13.2 yes 8
3.2 odd 2 288.2.v.b.109.1 8
4.3 odd 2 128.2.g.b.17.1 8
5.2 odd 4 800.2.ba.d.749.2 8
5.3 odd 4 800.2.ba.c.749.1 8
5.4 even 2 800.2.y.b.301.1 8
8.3 odd 2 256.2.g.c.33.2 8
8.5 even 2 256.2.g.d.33.1 8
12.11 even 2 1152.2.v.b.145.2 8
16.3 odd 4 512.2.g.g.321.1 8
16.5 even 4 512.2.g.h.321.1 8
16.11 odd 4 512.2.g.f.321.2 8
16.13 even 4 512.2.g.e.321.2 8
32.3 odd 8 512.2.g.g.193.1 8
32.5 even 8 inner 32.2.g.b.5.2 8
32.11 odd 8 256.2.g.c.225.2 8
32.13 even 8 512.2.g.h.193.1 8
32.19 odd 8 512.2.g.f.193.2 8
32.21 even 8 256.2.g.d.225.1 8
32.27 odd 8 128.2.g.b.113.1 8
32.29 even 8 512.2.g.e.193.2 8
64.5 even 16 4096.2.a.k.1.5 8
64.27 odd 16 4096.2.a.q.1.5 8
64.37 even 16 4096.2.a.k.1.4 8
64.59 odd 16 4096.2.a.q.1.4 8
96.5 odd 8 288.2.v.b.37.1 8
96.59 even 8 1152.2.v.b.1009.2 8
160.37 odd 8 800.2.ba.c.549.1 8
160.69 even 8 800.2.y.b.101.1 8
160.133 odd 8 800.2.ba.d.549.2 8
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
32.2.g.b.5.2 8 32.5 even 8 inner
32.2.g.b.13.2 yes 8 1.1 even 1 trivial
128.2.g.b.17.1 8 4.3 odd 2
128.2.g.b.113.1 8 32.27 odd 8
256.2.g.c.33.2 8 8.3 odd 2
256.2.g.c.225.2 8 32.11 odd 8
256.2.g.d.33.1 8 8.5 even 2
256.2.g.d.225.1 8 32.21 even 8
288.2.v.b.37.1 8 96.5 odd 8
288.2.v.b.109.1 8 3.2 odd 2
512.2.g.e.193.2 8 32.29 even 8
512.2.g.e.321.2 8 16.13 even 4
512.2.g.f.193.2 8 32.19 odd 8
512.2.g.f.321.2 8 16.11 odd 4
512.2.g.g.193.1 8 32.3 odd 8
512.2.g.g.321.1 8 16.3 odd 4
512.2.g.h.193.1 8 32.13 even 8
512.2.g.h.321.1 8 16.5 even 4
800.2.y.b.101.1 8 160.69 even 8
800.2.y.b.301.1 8 5.4 even 2
800.2.ba.c.549.1 8 160.37 odd 8
800.2.ba.c.749.1 8 5.3 odd 4
800.2.ba.d.549.2 8 160.133 odd 8
800.2.ba.d.749.2 8 5.2 odd 4
1152.2.v.b.145.2 8 12.11 even 2
1152.2.v.b.1009.2 8 96.59 even 8
4096.2.a.k.1.4 8 64.37 even 16
4096.2.a.k.1.5 8 64.5 even 16
4096.2.a.q.1.4 8 64.59 odd 16
4096.2.a.q.1.5 8 64.27 odd 16