Properties

Label 32.2.g.b.21.1
Level 3232
Weight 22
Character 32.21
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 21.1
Root 0.500000+0.0297061i0.500000 + 0.0297061i of defining polynomial
Character χ\chi == 32.21
Dual form 32.2.g.b.29.1

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+(1.40426+0.167452i)q2+(1.278820.529706i)q3+(1.943920.470294i)q4+(0.707107+1.70711i)q5+(1.70711+0.957989i)q6+(2.749122.74912i)q7+(2.65103+0.985930i)q8+(0.766519+0.766519i)q9+(0.7071072.51564i)q10+(0.135390+0.0560803i)q11+(2.236811.63113i)q12+(1.18073+2.85054i)q13+(4.32083+3.40014i)q14+2.55765iq15+(3.557651.82843i)q166.44549iq17+(0.9480411.20475i)q18+(0.805198+1.94392i)q19+(0.571717+3.65103i)q20+(4.971862.05941i)q21+(0.1995140.0560803i)q22+(0.7491180.749118i)q23+(2.86794+2.66510i)q24+(1.12132+1.12132i)q25+(2.135393.80520i)q26+(2.16333+5.22274i)q27+(6.636964.05117i)q28+(4.324171.79113i)q29+(0.4282833.59161i)q30+1.17157q31+(4.68971+3.16333i)q32+0.202846q33+(1.07931+9.05117i)q34+(6.636962.74912i)q35+(1.12956+1.85054i)q36+(1.731724.18073i)q37+(1.456222.59495i)q38+(3.01990+3.01990i)q39+(0.1914705.22274i)q40+(2.49824+2.49824i)q41+(7.32666+2.05941i)q42+(6.107252.52971i)q43+(0.289561+0.0453426i)q44+(0.7665191.85054i)q45+(0.926518+1.17740i)q46+2.66981iq47+(3.581074.22274i)q48+8.11529iq49+(1.762401.38686i)q50+(3.414218.24264i)q51+(3.63584+4.98593i)q52+(1.64769+0.682497i)q53+(2.163337.69637i)q54+(0.191470+0.191470i)q55+(9.99842+4.57754i)q56+(2.05941+2.05941i)q57+(5.77235+3.23931i)q58+(1.437443.47029i)q59+(1.20285+4.97186i)q60+(3.46760+1.43633i)q61+(1.64520+0.196182i)q62+4.21450q63+(6.055885.22746i)q645.70108q65+(0.284849+0.0339670i)q66+(14.0791+5.83176i)q67+(3.0312712.5295i)q68+(0.5611771.35480i)q69+(8.85970+4.97186i)q70+(3.409503.40950i)q71+(1.276332.78780i)q72+(0.442353+0.442353i)q73+(1.73172+6.16084i)q74+(2.02794+0.840001i)q75+(2.47945+3.40014i)q76+(0.2180310.526374i)q77+(4.746423.73505i)q787.07550iq79+(0.605684+7.36618i)q80+4.57283iq81+(3.089853.92652i)q82+(2.99862+7.23931i)q83+(10.63341.66510i)q84+(11.0031+4.55765i)q85+(8.99980+2.52971i)q86+(4.581074.58107i)q87+(0.4142140.0151854i)q88+(4.218034.21803i)q89+(1.38627+2.47029i)q90+(4.5905011.0824i)q91+(1.103921.80853i)q92+(1.498240.620589i)q93+(0.4470653.74912i)q943.88784q95+(4.32167+6.52951i)q96+10.3267q97+(1.3589211.3960i)q98+(0.146766+0.0607923i)q99+O(q100)q+(-1.40426 + 0.167452i) q^{2} +(1.27882 - 0.529706i) q^{3} +(1.94392 - 0.470294i) q^{4} +(-0.707107 + 1.70711i) q^{5} +(-1.70711 + 0.957989i) q^{6} +(-2.74912 - 2.74912i) q^{7} +(-2.65103 + 0.985930i) q^{8} +(-0.766519 + 0.766519i) q^{9} +(0.707107 - 2.51564i) q^{10} +(0.135390 + 0.0560803i) q^{11} +(2.23681 - 1.63113i) q^{12} +(1.18073 + 2.85054i) q^{13} +(4.32083 + 3.40014i) q^{14} +2.55765i q^{15} +(3.55765 - 1.82843i) q^{16} -6.44549i q^{17} +(0.948041 - 1.20475i) q^{18} +(0.805198 + 1.94392i) q^{19} +(-0.571717 + 3.65103i) q^{20} +(-4.97186 - 2.05941i) q^{21} +(-0.199514 - 0.0560803i) q^{22} +(0.749118 - 0.749118i) q^{23} +(-2.86794 + 2.66510i) q^{24} +(1.12132 + 1.12132i) q^{25} +(-2.13539 - 3.80520i) q^{26} +(-2.16333 + 5.22274i) q^{27} +(-6.63696 - 4.05117i) q^{28} +(4.32417 - 1.79113i) q^{29} +(-0.428283 - 3.59161i) q^{30} +1.17157 q^{31} +(-4.68971 + 3.16333i) q^{32} +0.202846 q^{33} +(1.07931 + 9.05117i) q^{34} +(6.63696 - 2.74912i) q^{35} +(-1.12956 + 1.85054i) q^{36} +(1.73172 - 4.18073i) q^{37} +(-1.45622 - 2.59495i) q^{38} +(3.01990 + 3.01990i) q^{39} +(0.191470 - 5.22274i) q^{40} +(-2.49824 + 2.49824i) q^{41} +(7.32666 + 2.05941i) q^{42} +(-6.10725 - 2.52971i) q^{43} +(0.289561 + 0.0453426i) q^{44} +(-0.766519 - 1.85054i) q^{45} +(-0.926518 + 1.17740i) q^{46} +2.66981i q^{47} +(3.58107 - 4.22274i) q^{48} +8.11529i q^{49} +(-1.76240 - 1.38686i) q^{50} +(-3.41421 - 8.24264i) q^{51} +(3.63584 + 4.98593i) q^{52} +(1.64769 + 0.682497i) q^{53} +(2.16333 - 7.69637i) q^{54} +(-0.191470 + 0.191470i) q^{55} +(9.99842 + 4.57754i) q^{56} +(2.05941 + 2.05941i) q^{57} +(-5.77235 + 3.23931i) q^{58} +(1.43744 - 3.47029i) q^{59} +(1.20285 + 4.97186i) q^{60} +(-3.46760 + 1.43633i) q^{61} +(-1.64520 + 0.196182i) q^{62} +4.21450 q^{63} +(6.05588 - 5.22746i) q^{64} -5.70108 q^{65} +(-0.284849 + 0.0339670i) q^{66} +(-14.0791 + 5.83176i) q^{67} +(-3.03127 - 12.5295i) q^{68} +(0.561177 - 1.35480i) q^{69} +(-8.85970 + 4.97186i) q^{70} +(-3.40950 - 3.40950i) q^{71} +(1.27633 - 2.78780i) q^{72} +(-0.442353 + 0.442353i) q^{73} +(-1.73172 + 6.16084i) q^{74} +(2.02794 + 0.840001i) q^{75} +(2.47945 + 3.40014i) q^{76} +(-0.218031 - 0.526374i) q^{77} +(-4.74642 - 3.73505i) q^{78} -7.07550i q^{79} +(0.605684 + 7.36618i) q^{80} +4.57283i q^{81} +(3.08985 - 3.92652i) q^{82} +(2.99862 + 7.23931i) q^{83} +(-10.6334 - 1.66510i) q^{84} +(11.0031 + 4.55765i) q^{85} +(8.99980 + 2.52971i) q^{86} +(4.58107 - 4.58107i) q^{87} +(-0.414214 - 0.0151854i) q^{88} +(-4.21803 - 4.21803i) q^{89} +(1.38627 + 2.47029i) q^{90} +(4.59050 - 11.0824i) q^{91} +(1.10392 - 1.80853i) q^{92} +(1.49824 - 0.620589i) q^{93} +(-0.447065 - 3.74912i) q^{94} -3.88784 q^{95} +(-4.32167 + 6.52951i) q^{96} +10.3267 q^{97} +(-1.35892 - 11.3960i) q^{98} +(-0.146766 + 0.0607923i) 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(58)e\left(\frac{5}{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 −1.40426 + 0.167452i −0.992965 + 0.118406i
33 1.27882 0.529706i 0.738329 0.305826i 0.0183595 0.999831i 0.494156π-0.494156\pi
0.719970 + 0.694005i 0.244156π0.244156\pi
44 1.94392 0.470294i 0.971960 0.235147i
55 −0.707107 + 1.70711i −0.316228 + 0.763441i 0.683220 + 0.730213i 0.260579π0.260579\pi
−0.999448 + 0.0332288i 0.989421π0.989421\pi
66 −1.70711 + 0.957989i −0.696923 + 0.391097i
77 −2.74912 2.74912i −1.03907 1.03907i −0.999205 0.0398636i 0.987308π-0.987308\pi
−0.0398636 0.999205i 0.512692π-0.512692\pi
88 −2.65103 + 0.985930i −0.937279 + 0.348579i
99 −0.766519 + 0.766519i −0.255506 + 0.255506i
1010 0.707107 2.51564i 0.223607 0.795514i
1111 0.135390 + 0.0560803i 0.0408216 + 0.0169089i 0.403001 0.915200i 0.367967π-0.367967\pi
−0.362179 + 0.932108i 0.617967π0.617967\pi
1212 2.23681 1.63113i 0.645712 0.470866i
1313 1.18073 + 2.85054i 0.327476 + 0.790598i 0.998778 + 0.0494138i 0.0157353π0.0157353\pi
−0.671302 + 0.741184i 0.734265π0.734265\pi
1414 4.32083 + 3.40014i 1.15479 + 0.908727i
1515 2.55765i 0.660382i
1616 3.55765 1.82843i 0.889412 0.457107i
1717 6.44549i 1.56326i −0.623742 0.781630i 0.714389π-0.714389\pi
0.623742 0.781630i 0.285611π-0.285611\pi
1818 0.948041 1.20475i 0.223455 0.283962i
1919 0.805198 + 1.94392i 0.184725 + 0.445966i 0.988929 0.148387i 0.0474082π-0.0474082\pi
−0.804204 + 0.594353i 0.797408π0.797408\pi
2020 −0.571717 + 3.65103i −0.127840 + 0.816394i
2121 −4.97186 2.05941i −1.08495 0.449401i
2222 −0.199514 0.0560803i −0.0425365 0.0119564i
2323 0.749118 0.749118i 0.156202 0.156202i −0.624679 0.780881i 0.714770π-0.714770\pi
0.780881 + 0.624679i 0.214770π0.214770\pi
2424 −2.86794 + 2.66510i −0.585416 + 0.544010i
2525 1.12132 + 1.12132i 0.224264 + 0.224264i
2626 −2.13539 3.80520i −0.418784 0.746261i
2727 −2.16333 + 5.22274i −0.416333 + 1.00512i
2828 −6.63696 4.05117i −1.25427 0.765599i
2929 4.32417 1.79113i 0.802978 0.332604i 0.0568292 0.998384i 0.481901π-0.481901\pi
0.746148 + 0.665780i 0.231901π0.231901\pi
3030 −0.428283 3.59161i −0.0781934 0.655736i
3131 1.17157 0.210421 0.105210 0.994450i 0.466448π-0.466448\pi
0.105210 + 0.994450i 0.466448π0.466448\pi
3232 −4.68971 + 3.16333i −0.829031 + 0.559203i
3333 0.202846 0.0353109
3434 1.07931 + 9.05117i 0.185100 + 1.55226i
3535 6.63696 2.74912i 1.12185 0.464686i
3636 −1.12956 + 1.85054i −0.188260 + 0.308423i
3737 1.73172 4.18073i 0.284692 0.687308i −0.715241 0.698878i 0.753683π-0.753683\pi
0.999933 + 0.0115700i 0.00368293π0.00368293\pi
3838 −1.45622 2.59495i −0.236231 0.420956i
3939 3.01990 + 3.01990i 0.483571 + 0.483571i
4040 0.191470 5.22274i 0.0302741 0.825788i
4141 −2.49824 + 2.49824i −0.390159 + 0.390159i −0.874744 0.484585i 0.838971π-0.838971\pi
0.484585 + 0.874744i 0.338971π0.338971\pi
4242 7.32666 + 2.05941i 1.13053 + 0.317774i
4343 −6.10725 2.52971i −0.931347 0.385777i −0.135158 0.990824i 0.543154π-0.543154\pi
−0.796189 + 0.605048i 0.793154π0.793154\pi
4444 0.289561 + 0.0453426i 0.0436530 + 0.00683566i
4545 −0.766519 1.85054i −0.114266 0.275862i
4646 −0.926518 + 1.17740i −0.136608 + 0.173598i
4747 2.66981i 0.389432i 0.980860 + 0.194716i 0.0623784π0.0623784\pi
−0.980860 + 0.194716i 0.937622π0.937622\pi
4848 3.58107 4.22274i 0.516884 0.609500i
4949 8.11529i 1.15933i
5050 −1.76240 1.38686i −0.249241 0.196132i
5151 −3.41421 8.24264i −0.478086 1.15420i
5252 3.63584 + 4.98593i 0.504200 + 0.691424i
5353 1.64769 + 0.682497i 0.226328 + 0.0937482i 0.492966 0.870049i 0.335913π-0.335913\pi
−0.266638 + 0.963797i 0.585913π0.585913\pi
5454 2.16333 7.69637i 0.294392 1.04734i
5555 −0.191470 + 0.191470i −0.0258178 + 0.0258178i
5656 9.99842 + 4.57754i 1.33610 + 0.611700i
5757 2.05941 + 2.05941i 0.272776 + 0.272776i
5858 −5.77235 + 3.23931i −0.757946 + 0.425342i
5959 1.43744 3.47029i 0.187139 0.451794i −0.802267 0.596965i 0.796373π-0.796373\pi
0.989407 + 0.145171i 0.0463732π0.0463732\pi
6060 1.20285 + 4.97186i 0.155287 + 0.641864i
6161 −3.46760 + 1.43633i −0.443981 + 0.183903i −0.593462 0.804862i 0.702239π-0.702239\pi
0.149482 + 0.988764i 0.452239π0.452239\pi
6262 −1.64520 + 0.196182i −0.208940 + 0.0249152i
6363 4.21450 0.530977
6464 6.05588 5.22746i 0.756985 0.653432i
6565 −5.70108 −0.707132
6666 −0.284849 + 0.0339670i −0.0350625 + 0.00418104i
6767 −14.0791 + 5.83176i −1.72004 + 0.712463i −0.720212 + 0.693754i 0.755956π0.755956\pi
−0.999825 + 0.0187090i 0.994044π0.994044\pi
6868 −3.03127 12.5295i −0.367596 1.51943i
6969 0.561177 1.35480i 0.0675578 0.163099i
7070 −8.85970 + 4.97186i −1.05894 + 0.594251i
7171 −3.40950 3.40950i −0.404633 0.404633i 0.475229 0.879862i 0.342365π-0.342365\pi
−0.879862 + 0.475229i 0.842365π0.842365\pi
7272 1.27633 2.78780i 0.150417 0.328545i
7373 −0.442353 + 0.442353i −0.0517735 + 0.0517735i −0.732520 0.680746i 0.761656π-0.761656\pi
0.680746 + 0.732520i 0.261656π0.261656\pi
7474 −1.73172 + 6.16084i −0.201308 + 0.716183i
7575 2.02794 + 0.840001i 0.234166 + 0.0969949i
7676 2.47945 + 3.40014i 0.284413 + 0.390023i
7777 −0.218031 0.526374i −0.0248470 0.0599859i
7878 −4.74642 3.73505i −0.537427 0.422911i
7979 7.07550i 0.796056i −0.917373 0.398028i 0.869695π-0.869695\pi
0.917373 0.398028i 0.130305π-0.130305\pi
8080 0.605684 + 7.36618i 0.0677175 + 0.823564i
8181 4.57283i 0.508093i
8282 3.08985 3.92652i 0.341217 0.433611i
8383 2.99862 + 7.23931i 0.329141 + 0.794617i 0.998656 + 0.0518190i 0.0165019π0.0165019\pi
−0.669515 + 0.742798i 0.733498π0.733498\pi
8484 −10.6334 1.66510i −1.16020 0.181677i
8585 11.0031 + 4.55765i 1.19346 + 0.494346i
8686 8.99980 + 2.52971i 0.970474 + 0.272785i
8787 4.58107 4.58107i 0.491143 0.491143i
8888 −0.414214 0.0151854i −0.0441553 0.00161877i
8989 −4.21803 4.21803i −0.447110 0.447110i 0.447282 0.894393i 0.352392π-0.352392\pi
−0.894393 + 0.447282i 0.852392π0.852392\pi
9090 1.38627 + 2.47029i 0.146126 + 0.260392i
9191 4.59050 11.0824i 0.481215 1.16176i
9292 1.10392 1.80853i 0.115092 0.188552i
9393 1.49824 0.620589i 0.155360 0.0643521i
9494 −0.447065 3.74912i −0.0461112 0.386692i
9595 −3.88784 −0.398884
9696 −4.32167 + 6.52951i −0.441079 + 0.666415i
9797 10.3267 1.04851 0.524257 0.851560i 0.324343π-0.324343\pi
0.524257 + 0.851560i 0.324343π0.324343\pi
9898 −1.35892 11.3960i −0.137272 1.15117i
9999 −0.146766 + 0.0607923i −0.0147505 + 0.00610986i
100100 2.70711 + 1.65241i 0.270711 + 0.165241i
101101 −4.31750 + 10.4234i −0.429608 + 1.03716i 0.549805 + 0.835293i 0.314702π0.314702\pi
−0.979412 + 0.201871i 0.935298π0.935298\pi
102102 6.17471 + 11.0031i 0.611387 + 1.08947i
103103 13.3134 + 13.3134i 1.31181 + 1.31181i 0.920080 + 0.391732i 0.128124π0.128124\pi
0.391732 + 0.920080i 0.371876π0.371876\pi
104104 −5.94059 6.39274i −0.582523 0.626860i
105105 7.03127 7.03127i 0.686182 0.686182i
106106 −2.42809 0.682497i −0.235836 0.0662900i
107107 13.2507 + 5.48861i 1.28099 + 0.530604i 0.916288 0.400519i 0.131170π-0.131170\pi
0.364704 + 0.931124i 0.381170π0.381170\pi
108108 −1.74912 + 11.1700i −0.168309 + 1.07483i
109109 −4.87515 11.7697i −0.466955 1.12733i −0.965486 0.260456i 0.916127π-0.916127\pi
0.498531 0.866872i 0.333873π-0.333873\pi
110110 0.236813 0.300937i 0.0225792 0.0286932i
111111 6.26372i 0.594526i
112112 −14.8070 4.75383i −1.39913 0.449195i
113113 5.88118i 0.553254i −0.960977 0.276627i 0.910783π-0.910783\pi
0.960977 0.276627i 0.0892167π-0.0892167\pi
114114 −3.23681 2.54711i −0.303155 0.238558i
115115 0.749118 + 1.80853i 0.0698556 + 0.168646i
116116 7.56348 5.51544i 0.702251 0.512096i
117117 −3.09005 1.27994i −0.285675 0.118330i
118118 −1.43744 + 5.11391i −0.132327 + 0.470774i
119119 −17.7194 + 17.7194i −1.62433 + 1.62433i
120120 −2.52166 6.78039i −0.230195 0.618962i
121121 −7.76299 7.76299i −0.705726 0.705726i
122122 4.62891 2.59764i 0.419082 0.235179i
123123 −1.87147 + 4.51813i −0.168745 + 0.407386i
124124 2.27744 0.550984i 0.204520 0.0494798i
125125 −11.2426 + 4.65685i −1.00557 + 0.416522i
126126 −5.91828 + 0.705727i −0.527242 + 0.0628711i
127127 −15.4022 −1.36672 −0.683360 0.730081i 0.739482π-0.739482\pi
−0.683360 + 0.730081i 0.739482π0.739482\pi
128128 −7.62872 + 8.35480i −0.674290 + 0.738467i
129129 −9.15010 −0.805621
130130 8.00583 0.954657i 0.702158 0.0837290i
131131 −2.96382 + 1.22765i −0.258950 + 0.107261i −0.508382 0.861132i 0.669756π-0.669756\pi
0.249432 + 0.968392i 0.419756π0.419756\pi
132132 0.394316 0.0953972i 0.0343208 0.00830326i
133133 3.13048 7.55765i 0.271447 0.655331i
134134 18.7943 10.5469i 1.62358 0.911114i
135135 −7.38607 7.38607i −0.635692 0.635692i
136136 6.35480 + 17.0872i 0.544920 + 1.46521i
137137 10.7757 10.7757i 0.920628 0.920628i −0.0764454 0.997074i 0.524357π-0.524357\pi
0.997074 + 0.0764454i 0.0243571π0.0243571\pi
138138 −0.561177 + 1.99647i −0.0477706 + 0.169951i
139139 4.78372 + 1.98148i 0.405750 + 0.168067i 0.576218 0.817296i 0.304528π-0.304528\pi
−0.170468 + 0.985363i 0.554528π0.554528\pi
140140 11.6088 8.46538i 0.981124 0.715456i
141141 1.41421 + 3.41421i 0.119098 + 0.287529i
142142 5.35877 + 4.21692i 0.449698 + 0.353876i
143143 0.452150i 0.0378107i
144144 −1.32548 + 4.12853i −0.110457 + 0.344044i
145145 8.64833i 0.718205i
146146 0.547108 0.695253i 0.0452789 0.0575396i
147147 4.29872 + 10.3780i 0.354553 + 0.855966i
148148 1.40014 8.94142i 0.115091 0.734981i
149149 4.32417 + 1.79113i 0.354250 + 0.146735i 0.552709 0.833374i 0.313594π-0.313594\pi
−0.198460 + 0.980109i 0.563594π0.563594\pi
150150 −2.98843 0.840001i −0.244004 0.0685858i
151151 13.2344 13.2344i 1.07700 1.07700i 0.0802232 0.996777i 0.474437π-0.474437\pi
0.996777 0.0802232i 0.0255633π-0.0255633\pi
152152 −4.05117 4.35951i −0.328593 0.353603i
153153 4.94059 + 4.94059i 0.399423 + 0.399423i
154154 0.394316 + 0.702659i 0.0317749 + 0.0566219i
155155 −0.828427 + 2.00000i −0.0665409 + 0.160644i
156156 7.29068 + 4.45020i 0.583721 + 0.356301i
157157 −15.9529 + 6.60790i −1.27318 + 0.527368i −0.913929 0.405874i 0.866967π-0.866967\pi
−0.359249 + 0.933242i 0.616967π0.616967\pi
158158 1.18481 + 9.93588i 0.0942581 + 0.790456i
159159 2.46863 0.195775
160160 −2.08402 10.2426i −0.164756 0.809752i
161161 −4.11882 −0.324609
162162 −0.765730 6.42147i −0.0601614 0.504518i
163163 10.6488 4.41088i 0.834079 0.345487i 0.0755629 0.997141i 0.475925π-0.475925\pi
0.758516 + 0.651654i 0.225925π0.225925\pi
164164 −3.68146 + 6.03127i −0.287474 + 0.470963i
165165 −0.143434 + 0.346280i −0.0111663 + 0.0269578i
166166 −5.42309 9.66378i −0.420914 0.750055i
167167 −2.98677 2.98677i −0.231123 0.231123i 0.582038 0.813161i 0.302255π-0.302255\pi
−0.813161 + 0.582038i 0.802255π0.802255\pi
168168 15.2110 + 0.557647i 1.17355 + 0.0430234i
169169 2.46094 2.46094i 0.189303 0.189303i
170170 −16.2145 4.55765i −1.24360 0.349556i
171171 −2.10725 0.872852i −0.161145 0.0667486i
172172 −13.0617 2.04534i −0.995946 0.155956i
173173 7.85054 + 18.9529i 0.596866 + 1.44096i 0.876759 + 0.480930i 0.159701π0.159701\pi
−0.279894 + 0.960031i 0.590299π0.590299\pi
174174 −5.66593 + 7.20015i −0.429533 + 0.545842i
175175 6.16528i 0.466052i
176176 0.584208 0.0480365i 0.0440364 0.00362089i
177177 5.19932i 0.390805i
178178 6.62955 + 5.21692i 0.496906 + 0.391024i
179179 −9.60549 23.1897i −0.717948 1.73328i −0.679113 0.734033i 0.737636π-0.737636\pi
−0.0388344 0.999246i 0.512364π-0.512364\pi
180180 −2.36035 3.23681i −0.175930 0.241258i
181181 1.87868 + 0.778175i 0.139641 + 0.0578413i 0.451410 0.892317i 0.350921π-0.350921\pi
−0.311768 + 0.950158i 0.600921π0.600921\pi
182182 −4.59050 + 16.3314i −0.340270 + 1.21056i
183183 −3.67362 + 3.67362i −0.271562 + 0.271562i
184184 −1.24735 + 2.72451i −0.0919561 + 0.200853i
185185 5.91245 + 5.91245i 0.434692 + 0.434692i
186186 −2.00000 + 1.12235i −0.146647 + 0.0822950i
187187 0.361465 0.872654i 0.0264329 0.0638148i
188188 1.25559 + 5.18989i 0.0915736 + 0.378512i
189189 20.3052 8.41068i 1.47699 0.611787i
190190 5.45956 0.651026i 0.396078 0.0472304i
191191 9.05902 0.655487 0.327744 0.944767i 0.393712π-0.393712\pi
0.327744 + 0.944767i 0.393712π0.393712\pi
192192 4.97539 9.89283i 0.359068 0.713954i
193193 6.24707 0.449674 0.224837 0.974396i 0.427815π-0.427815\pi
0.224837 + 0.974396i 0.427815π0.427815\pi
194194 −14.5014 + 1.72922i −1.04114 + 0.124151i
195195 −7.29068 + 3.01990i −0.522096 + 0.216259i
196196 3.81657 + 15.7755i 0.272612 + 1.12682i
197197 −1.81298 + 4.37691i −0.129169 + 0.311842i −0.975212 0.221273i 0.928979π-0.928979\pi
0.846043 + 0.533115i 0.178979π0.178979\pi
198198 0.195918 0.109945i 0.0139233 0.00781343i
199199 6.14186 + 6.14186i 0.435385 + 0.435385i 0.890455 0.455071i 0.150386π-0.150386\pi
−0.455071 + 0.890455i 0.650386π0.650386\pi
200200 −4.07819 1.86711i −0.288372 0.132024i
201201 −14.9156 + 14.9156i −1.05206 + 1.05206i
202202 4.31750 15.3602i 0.303778 1.08074i
203203 −16.8117 6.96362i −1.17995 0.488750i
204204 −10.5134 14.4173i −0.736087 1.00942i
205205 −2.49824 6.03127i −0.174484 0.421242i
206206 −20.9249 16.4662i −1.45791 1.14726i
207207 1.14843i 0.0798211i
208208 9.41264 + 7.98233i 0.652649 + 0.553475i
209209 0.308343i 0.0213285i
210210 −8.69637 + 11.0512i −0.600106 + 0.762603i
211211 5.21588 + 12.5923i 0.359076 + 0.866886i 0.995430 + 0.0954895i 0.0304416π0.0304416\pi
−0.636354 + 0.771397i 0.719558π0.719558\pi
212212 3.52396 + 0.551819i 0.242027 + 0.0378991i
213213 −6.16619 2.55412i −0.422500 0.175005i
214214 −19.5265 5.48861i −1.33481 0.375194i
215215 8.63696 8.63696i 0.589036 0.589036i
216216 0.585786 15.9785i 0.0398577 1.08720i
217217 −3.22079 3.22079i −0.218642 0.218642i
218218 8.81685 + 15.7114i 0.597153 + 1.06411i
219219 −0.331374 + 0.800008i −0.0223922 + 0.0540595i
220220 −0.282156 + 0.462250i −0.0190229 + 0.0311649i
221221 18.3731 7.61040i 1.23591 0.511931i
222222 1.04887 + 8.79592i 0.0703957 + 0.590344i
223223 −0.960579 −0.0643251 −0.0321626 0.999483i 0.510239π-0.510239\pi
−0.0321626 + 0.999483i 0.510239π0.510239\pi
224224 21.5889 + 4.19618i 1.44247 + 0.280369i
225225 −1.71903 −0.114602
226226 0.984815 + 8.25873i 0.0655089 + 0.549362i
227227 14.1698 5.86932i 0.940482 0.389561i 0.140837 0.990033i 0.455021π-0.455021\pi
0.799646 + 0.600472i 0.205021π0.205021\pi
228228 4.97186 + 3.03480i 0.329270 + 0.200985i
229229 1.80408 4.35544i 0.119217 0.287816i −0.852994 0.521920i 0.825216π-0.825216\pi
0.972211 + 0.234105i 0.0752159π0.0752159\pi
230230 −1.35480 2.41421i −0.0893330 0.159189i
231231 −0.557647 0.557647i −0.0366905 0.0366905i
232232 −9.69755 + 9.01166i −0.636675 + 0.591644i
233233 −16.7918 + 16.7918i −1.10007 + 1.10007i −0.105663 + 0.994402i 0.533697π0.533697\pi
−0.994402 + 0.105663i 0.966303π0.966303\pi
234234 4.55357 + 1.27994i 0.297676 + 0.0836723i
235235 −4.55765 1.88784i −0.297308 0.123149i
236236 1.16222 7.42199i 0.0756538 0.483131i
237237 −3.74794 9.04832i −0.243455 0.587751i
238238 21.9156 27.8499i 1.42058 1.80524i
239239 15.8414i 1.02469i 0.858779 + 0.512347i 0.171224π0.171224\pi
−0.858779 + 0.512347i 0.828776π0.828776\pi
240240 4.67647 + 9.09921i 0.301865 + 0.587351i
241241 0.313335i 0.0201837i 0.999949 + 0.0100918i 0.00321239π0.00321239\pi
−0.999949 + 0.0100918i 0.996788π0.996788\pi
242242 12.2012 + 9.60136i 0.784324 + 0.617199i
243243 −4.06774 9.82038i −0.260945 0.629978i
244244 −6.06524 + 4.42290i −0.388287 + 0.283147i
245245 −13.8537 5.73838i −0.885079 0.366612i
246246 1.87147 6.65804i 0.119321 0.424501i
247247 −4.59050 + 4.59050i −0.292086 + 0.292086i
248248 −3.10587 + 1.15509i −0.197223 + 0.0733482i
249249 7.66941 + 7.66941i 0.486029 + 0.486029i
250250 15.0078 8.42206i 0.949180 0.532658i
251251 −3.55903 + 8.59225i −0.224644 + 0.542338i −0.995510 0.0946593i 0.969824π-0.969824\pi
0.770866 + 0.636997i 0.219824π0.219824\pi
252252 8.19265 1.98205i 0.516089 0.124858i
253253 0.143434 0.0594122i 0.00901760 0.00373521i
254254 21.6287 2.57912i 1.35711 0.161829i
255255 16.4853 1.03235
256256 9.31371 13.0098i 0.582107 0.813112i
257257 18.9043 1.17922 0.589609 0.807689i 0.299282π-0.299282\pi
0.589609 + 0.807689i 0.299282π0.299282\pi
258258 12.8492 1.53220i 0.799954 0.0953907i
259259 −16.2540 + 6.73263i −1.00998 + 0.418346i
260260 −11.0824 + 2.68118i −0.687304 + 0.166280i
261261 −1.94162 + 4.68749i −0.120183 + 0.290148i
262262 3.95641 2.22025i 0.244428 0.137167i
263263 −16.6366 16.6366i −1.02585 1.02585i −0.999657 0.0261975i 0.991660π-0.991660\pi
−0.0261975 0.999657i 0.508340π-0.508340\pi
264264 −0.537750 + 0.199992i −0.0330962 + 0.0123087i
265265 −2.33019 + 2.33019i −0.143143 + 0.143143i
266266 −3.13048 + 11.1371i −0.191942 + 0.682862i
267267 −7.62844 3.15980i −0.466853 0.193377i
268268 −24.6260 + 17.9578i −1.50427 + 1.09695i
269269 −5.01046 12.0963i −0.305493 0.737525i −0.999840 0.0178850i 0.994307π-0.994307\pi
0.694347 0.719640i 0.255693π-0.255693\pi
270270 11.6088 + 9.13519i 0.706490 + 0.555950i
271271 28.2141i 1.71388i 0.515412 + 0.856942i 0.327639π0.327639\pi
−0.515412 + 0.856942i 0.672361π0.672361\pi
272272 −11.7851 22.9308i −0.714577 1.39038i
273273 16.6041i 1.00493i
274274 −13.3275 + 16.9363i −0.805144 + 1.02316i
275275 0.0889314 + 0.214699i 0.00536277 + 0.0129469i
276276 0.453728 2.89754i 0.0273112 0.174412i
277277 −21.8246 9.04006i −1.31132 0.543165i −0.386047 0.922479i 0.626160π-0.626160\pi
−0.925268 + 0.379314i 0.876160π0.876160\pi
278278 −7.04942 1.98148i −0.422796 0.118841i
279279 −0.898033 + 0.898033i −0.0537638 + 0.0537638i
280280 −14.8843 + 13.8316i −0.889508 + 0.826594i
281281 3.00666 + 3.00666i 0.179363 + 0.179363i 0.791078 0.611715i 0.209520π-0.209520\pi
−0.611715 + 0.791078i 0.709520π0.709520\pi
282282 −2.55765 4.55765i −0.152306 0.271404i
283283 0.709521 1.71293i 0.0421766 0.101823i −0.901387 0.433014i 0.857450π-0.857450\pi
0.943564 + 0.331190i 0.107450π0.107450\pi
284284 −8.23127 5.02433i −0.488436 0.298139i
285285 −4.97186 + 2.05941i −0.294508 + 0.121989i
286286 −0.0757135 0.634939i −0.00447703 0.0375447i
287287 13.7359 0.810804
288288 1.16999 6.01950i 0.0689426 0.354703i
289289 −24.5443 −1.44378
290290 −1.44818 12.1445i −0.0850401 0.713153i
291291 13.2060 5.47010i 0.774148 0.320663i
292292 −0.651862 + 1.06793i −0.0381474 + 0.0624961i
293293 10.5176 25.3917i 0.614444 1.48340i −0.243627 0.969869i 0.578337π-0.578337\pi
0.858071 0.513530i 0.171663π-0.171663\pi
294294 −7.77436 13.8537i −0.453410 0.807963i
295295 4.90774 + 4.90774i 0.285739 + 0.285739i
296296 −0.468914 + 12.7906i −0.0272551 + 0.743438i
297297 −0.585786 + 0.585786i −0.0339908 + 0.0339908i
298298 −6.37220 1.79113i −0.369132 0.103757i
299299 3.01990 + 1.25088i 0.174645 + 0.0723404i
300300 4.33720 + 0.679166i 0.250408 + 0.0392116i
301301 9.83509 + 23.7440i 0.566885 + 1.36858i
302302 −16.3685 + 20.8007i −0.941900 + 1.19695i
303303 15.6167i 0.897154i
304304 6.41893 + 5.44353i 0.368151 + 0.312208i
305305 6.93520i 0.397108i
306306 −7.76521 6.11058i −0.443907 0.349319i
307307 5.80167 + 14.0065i 0.331119 + 0.799391i 0.998504 + 0.0546786i 0.0174134π0.0174134\pi
−0.667385 + 0.744713i 0.732587π0.732587\pi
308308 −0.671386 0.920690i −0.0382558 0.0524612i
309309 24.0777 + 9.97332i 1.36973 + 0.567363i
310310 0.828427 2.94725i 0.0470515 0.167393i
311311 7.15481 7.15481i 0.405712 0.405712i −0.474528 0.880240i 0.657381π-0.657381\pi
0.880240 + 0.474528i 0.157381π0.157381\pi
312312 −10.9832 5.02842i −0.621803 0.284678i
313313 −11.8512 11.8512i −0.669868 0.669868i 0.287817 0.957685i 0.407070π-0.407070\pi
−0.957685 + 0.287817i 0.907070π0.907070\pi
314314 21.2956 11.9506i 1.20178 0.674410i
315315 −2.98010 + 7.19460i −0.167910 + 0.405370i
316316 −3.32756 13.7542i −0.187190 0.773734i
317317 18.9377 7.84425i 1.06365 0.440577i 0.218902 0.975747i 0.429752π-0.429752\pi
0.844745 + 0.535170i 0.179752π0.179752\pi
318318 −3.46662 + 0.413378i −0.194398 + 0.0231811i
319319 0.685896 0.0384028
320320 4.64167 + 14.0344i 0.259477 + 0.784547i
321321 19.8526 1.10807
322322 5.78392 0.689705i 0.322325 0.0384358i
323323 12.5295 5.18989i 0.697160 0.288773i
324324 2.15058 + 8.88922i 0.119476 + 0.493846i
325325 −1.87239 + 4.52035i −0.103861 + 0.250744i
326326 −14.2151 + 7.97721i −0.787304 + 0.441817i
327327 −12.4689 12.4689i −0.689533 0.689533i
328328 4.15980 9.08597i 0.229687 0.501689i
329329 7.33962 7.33962i 0.404646 0.404646i
330330 0.143434 0.510287i 0.00789577 0.0280904i
331331 9.91107 + 4.10530i 0.544762 + 0.225648i 0.638055 0.769991i 0.279739π-0.279739\pi
−0.0932931 + 0.995639i 0.529739π0.529739\pi
332332 9.23368 + 12.6624i 0.506764 + 0.694940i
333333 1.87722 + 4.53200i 0.102871 + 0.248352i
334334 4.69435 + 3.69407i 0.256863 + 0.202131i
335335 28.1582i 1.53845i
336336 −21.4536 + 1.76402i −1.17039 + 0.0962353i
337337 3.23412i 0.176174i 0.996113 + 0.0880868i 0.0280753π0.0280753\pi
−0.996113 + 0.0880868i 0.971925π0.971925\pi
338338 −3.04372 + 3.86790i −0.165556 + 0.210386i
339339 −3.11529 7.52099i −0.169200 0.408484i
340340 23.5326 + 3.68499i 1.27624 + 0.199847i
341341 0.158619 + 0.0657022i 0.00858971 + 0.00355797i
342342 3.10530 + 0.872852i 0.167915 + 0.0471984i
343343 3.06608 3.06608i 0.165553 0.165553i
344344 18.6846 + 0.684993i 1.00741 + 0.0369324i
345345 1.91598 + 1.91598i 0.103153 + 0.103153i
346346 −14.1979 25.3003i −0.763286 1.36015i
347347 −9.82705 + 23.7246i −0.527544 + 1.27360i 0.405584 + 0.914058i 0.367068π0.367068\pi
−0.933128 + 0.359545i 0.882932π0.882932\pi
348348 6.75079 11.0597i 0.361880 0.592862i
349349 −12.5762 + 5.20925i −0.673190 + 0.278845i −0.692977 0.720960i 0.743701π-0.743701\pi
0.0197868 + 0.999804i 0.493701π0.493701\pi
350350 1.03239 + 8.65769i 0.0551835 + 0.462773i
351351 −17.4420 −0.930983
352352 −0.812340 + 0.165283i −0.0432978 + 0.00880961i
353353 −8.67371 −0.461655 −0.230828 0.972995i 0.574143π-0.574143\pi
−0.230828 + 0.972995i 0.574143π0.574143\pi
354354 0.870636 + 7.30122i 0.0462738 + 0.388055i
355355 8.23127 3.40950i 0.436870 0.180958i
356356 −10.1832 6.21580i −0.539710 0.329437i
357357 −13.2739 + 32.0461i −0.702530 + 1.69606i
358358 17.3718 + 30.9560i 0.918129 + 1.63608i
359359 13.6307 + 13.6307i 0.719399 + 0.719399i 0.968482 0.249083i 0.0801292π-0.0801292\pi
−0.249083 + 0.968482i 0.580129π0.580129\pi
360360 3.85657 + 4.15010i 0.203259 + 0.218729i
361361 10.3045 10.3045i 0.542345 0.542345i
362362 −2.76847 0.778175i −0.145508 0.0408999i
363363 −14.0396 5.81539i −0.736888 0.305229i
364364 3.71155 23.7023i 0.194538 1.24234i
365365 −0.442353 1.06793i −0.0231538 0.0558982i
366366 4.54358 5.77389i 0.237497 0.301806i
367367 28.9800i 1.51274i −0.654142 0.756371i 0.726970π-0.726970\pi
0.654142 0.756371i 0.273030π-0.273030\pi
368368 1.29539 4.03480i 0.0675268 0.210329i
369369 3.82989i 0.199376i
370370 −9.29270 7.31259i −0.483104 0.380164i
371371 −2.65344 6.40597i −0.137760 0.332581i
372372 2.62059 1.91099i 0.135871 0.0990800i
373373 −5.56367 2.30455i −0.288076 0.119325i 0.233966 0.972245i 0.424830π-0.424830\pi
−0.522042 + 0.852920i 0.674830π0.674830\pi
374374 −0.361465 + 1.28597i −0.0186909 + 0.0664957i
375375 −11.9106 + 11.9106i −0.615060 + 0.615060i
376376 −2.63224 7.07773i −0.135748 0.365006i
377377 10.2114 + 10.2114i 0.525912 + 0.525912i
378378 −27.1055 + 15.2110i −1.39416 + 0.782368i
379379 8.55274 20.6481i 0.439325 1.06062i −0.536858 0.843673i 0.680389π-0.680389\pi
0.976183 0.216951i 0.0696111π-0.0696111\pi
380380 −7.55765 + 1.82843i −0.387699 + 0.0937963i
381381 −19.6966 + 8.15862i −1.00909 + 0.417979i
382382 −12.7213 + 1.51695i −0.650876 + 0.0776139i
383383 −30.5667 −1.56188 −0.780942 0.624603i 0.785261π-0.785261\pi
−0.780942 + 0.624603i 0.785261π0.785261\pi
384384 −5.33019 + 14.7253i −0.272005 + 0.751447i
385385 1.05275 0.0536530
386386 −8.77254 + 1.04608i −0.446511 + 0.0532443i
387387 6.62039 2.74226i 0.336533 0.139397i
388388 20.0742 4.85657i 1.01911 0.246555i
389389 −7.06634 + 17.0597i −0.358278 + 0.864959i 0.637265 + 0.770645i 0.280066π0.280066\pi
−0.995543 + 0.0943139i 0.969934π0.969934\pi
390390 9.73235 5.46157i 0.492817 0.276558i
391391 −4.82843 4.82843i −0.244184 0.244184i
392392 −8.00112 21.5139i −0.404117 1.08661i
393393 −3.13990 + 3.13990i −0.158387 + 0.158387i
394394 1.81298 6.44993i 0.0913365 0.324943i
395395 12.0786 + 5.00313i 0.607742 + 0.251735i
396396 −0.256710 + 0.187198i −0.0129002 + 0.00940707i
397397 7.15759 + 17.2799i 0.359229 + 0.867255i 0.995409 + 0.0957146i 0.0305136π0.0305136\pi
−0.636180 + 0.771541i 0.719486π0.719486\pi
398398 −9.65326 7.59633i −0.483874 0.380769i
399399 11.3231i 0.566866i
400400 6.03951 + 1.93901i 0.301976 + 0.0969505i
401401 11.0004i 0.549332i 0.961540 + 0.274666i 0.0885674π0.0885674\pi
−0.961540 + 0.274666i 0.911433π0.911433\pi
402402 18.4478 23.4431i 0.920092 1.16923i
403403 1.38331 + 3.33962i 0.0689078 + 0.166358i
404404 −3.49083 + 22.2927i −0.173675 + 1.10910i
405405 −7.80631 3.23348i −0.387899 0.160673i
406406 24.7741 + 6.96362i 1.22952 + 0.345599i
407407 0.468914 0.468914i 0.0232432 0.0232432i
408408 17.1778 + 18.4853i 0.850430 + 0.915158i
409409 −1.15862 1.15862i −0.0572900 0.0572900i 0.677881 0.735171i 0.262898π-0.262898\pi
−0.735171 + 0.677881i 0.762898π0.762898\pi
410410 4.51813 + 8.05117i 0.223135 + 0.397619i
411411 8.07225 19.4881i 0.398175 0.961279i
412412 32.1415 + 19.6190i 1.58350 + 0.966559i
413413 −13.4919 + 5.58855i −0.663895 + 0.274994i
414414 −0.192306 1.61269i −0.00945133 0.0792596i
415415 −14.4786 −0.710727
416416 −14.5545 9.63315i −0.713593 0.472304i
417417 7.16714 0.350976
418418 −0.0516326 0.432995i −0.00252543 0.0211785i
419419 −32.0362 + 13.2698i −1.56507 + 0.648273i −0.985961 0.166978i 0.946599π-0.946599\pi
−0.579108 + 0.815251i 0.696599π0.696599\pi
420420 10.3615 16.9750i 0.505588 0.828295i
421421 9.34602 22.5633i 0.455497 1.09967i −0.514705 0.857368i 0.672098π-0.672098\pi
0.970202 0.242299i 0.0779016π-0.0779016\pi
422422 −9.43308 16.8094i −0.459195 0.818271i
423423 −2.04646 2.04646i −0.0995022 0.0995022i
424424 −5.04098 0.184807i −0.244811 0.00897500i
425425 7.22746 7.22746i 0.350583 0.350583i
426426 9.08665 + 2.55412i 0.440250 + 0.123747i
427427 13.4815 + 5.58421i 0.652414 + 0.270239i
428428 28.3395 + 4.43771i 1.36984 + 0.214505i
429429 0.239507 + 0.578221i 0.0115635 + 0.0279168i
430430 −10.6823 + 13.5749i −0.515146 + 0.654637i
431431 4.47586i 0.215594i 0.994173 + 0.107797i 0.0343797π0.0343797\pi
−0.994173 + 0.107797i 0.965620π0.965620\pi
432432 1.85304 + 22.5362i 0.0891543 + 1.08427i
433433 1.44196i 0.0692960i 0.999400 + 0.0346480i 0.0110310π0.0110310\pi
−0.999400 + 0.0346480i 0.988969π0.988969\pi
434434 5.06217 + 3.98352i 0.242992 + 0.191215i
435435 4.58107 + 11.0597i 0.219646 + 0.530272i
436436 −15.0121 20.5865i −0.718949 0.985915i
437437 2.05941 + 0.853036i 0.0985150 + 0.0408063i
438438 0.331374 1.17891i 0.0158337 0.0563306i
439439 0.854615 0.854615i 0.0407885 0.0407885i −0.686418 0.727207i 0.740818π-0.740818\pi
0.727207 + 0.686418i 0.240818π0.240818\pi
440440 0.318816 0.696369i 0.0151990 0.0331981i
441441 −6.22053 6.22053i −0.296216 0.296216i
442442 −24.5264 + 13.7636i −1.16660 + 0.654669i
443443 4.68913 11.3206i 0.222787 0.537857i −0.772479 0.635040i 0.780983π-0.780983\pi
0.995266 + 0.0971838i 0.0309835π0.0309835\pi
444444 −2.94579 12.1762i −0.139801 0.577855i
445445 10.1832 4.21803i 0.482731 0.199954i
446446 1.34891 0.160851i 0.0638726 0.00761651i
447447 6.47862 0.306428
448448 −31.0192 2.27744i −1.46552 0.107599i
449449 −24.5573 −1.15893 −0.579464 0.814998i 0.696738π-0.696738\pi
−0.579464 + 0.814998i 0.696738π0.696738\pi
450450 2.41397 0.287854i 0.113796 0.0135696i
451451 −0.478338 + 0.198134i −0.0225240 + 0.00932976i
452452 −2.76588 11.4325i −0.130096 0.537741i
453453 9.91412 23.9348i 0.465806 1.12456i
454454 −18.9153 + 10.6148i −0.887740 + 0.498179i
455455 15.6729 + 15.6729i 0.734759 + 0.734759i
456456 −7.48999 3.42912i −0.350751 0.160583i
457457 14.1684 14.1684i 0.662771 0.662771i −0.293262 0.956032i 0.594741π-0.594741\pi
0.956032 + 0.293262i 0.0947407π0.0947407\pi
458458 −1.80408 + 6.41829i −0.0842992 + 0.299907i
459459 33.6631 + 13.9437i 1.57126 + 0.650837i
460460 2.30676 + 3.16333i 0.107553 + 0.147491i
461461 −11.7965 28.4793i −0.549417 1.32641i −0.917913 0.396782i 0.870127π-0.870127\pi
0.368496 0.929630i 0.379873π-0.379873\pi
462462 0.876464 + 0.689705i 0.0407768 + 0.0320880i
463463 14.8190i 0.688697i 0.938842 + 0.344349i 0.111900π0.111900\pi
−0.938842 + 0.344349i 0.888100π0.888100\pi
464464 12.1089 14.2786i 0.562142 0.662869i
465465 2.99647i 0.138958i
466466 20.7683 26.3919i 0.962072 1.22258i
467467 5.43521 + 13.1218i 0.251512 + 0.607203i 0.998326 0.0578293i 0.0184179π-0.0184179\pi
−0.746815 + 0.665032i 0.768418π0.768418\pi
468468 −6.60875 1.03487i −0.305490 0.0478368i
469469 54.7373 + 22.6729i 2.52753 + 1.04694i
470470 6.71627 + 1.88784i 0.309798 + 0.0870795i
471471 −16.9007 + 16.9007i −0.778742 + 0.778742i
472472 −0.389231 + 10.6171i −0.0179158 + 0.488690i
473473 −0.684993 0.684993i −0.0314960 0.0314960i
474474 6.77825 + 12.0786i 0.311335 + 0.554790i
475475 −1.27687 + 3.08264i −0.0585869 + 0.141441i
476476 −26.1118 + 42.7784i −1.19683 + 1.96075i
477477 −1.78614 + 0.739842i −0.0817816 + 0.0338750i
478478 −2.65267 22.2455i −0.121330 1.01749i
479479 32.3727 1.47915 0.739574 0.673076i 0.235027π-0.235027\pi
0.739574 + 0.673076i 0.235027π0.235027\pi
480480 −8.09069 11.9946i −0.369288 0.547477i
481481 13.9620 0.636614
482482 −0.0524685 0.440005i −0.00238988 0.0200417i
483483 −5.26725 + 2.18177i −0.239668 + 0.0992738i
484484 −18.7415 11.4397i −0.851887 0.519988i
485485 −7.30205 + 17.6287i −0.331569 + 0.800479i
486486 7.35662 + 13.1093i 0.333703 + 0.594649i
487487 −1.89478 1.89478i −0.0858608 0.0858608i 0.662872 0.748733i 0.269337π-0.269337\pi
−0.748733 + 0.662872i 0.769337π0.769337\pi
488488 7.77658 7.22655i 0.352029 0.327131i
489489 11.2815 11.2815i 0.510166 0.510166i
490490 20.4151 + 5.73838i 0.922262 + 0.259234i
491491 −18.2886 7.57539i −0.825354 0.341873i −0.0702922 0.997526i 0.522393π-0.522393\pi
−0.755062 + 0.655654i 0.772393π0.772393\pi
492492 −1.51314 + 9.66303i −0.0682176 + 0.435643i
493493 −11.5447 27.8714i −0.519947 1.25526i
494494 5.67759 7.21496i 0.255447 0.324617i
495495 0.293531i 0.0131932i
496496 4.16804 2.14214i 0.187151 0.0961847i
497497 18.7462i 0.840884i
498498 −12.0541 9.48563i −0.540159 0.425061i
499499 −9.54921 23.0538i −0.427481 1.03203i −0.980083 0.198586i 0.936365π-0.936365\pi
0.552602 0.833445i 0.313635π-0.313635\pi
500500 −19.6647 + 14.3399i −0.879432 + 0.641300i
501501 −5.40166 2.23744i −0.241328 0.0999614i
502502 3.55903 12.6618i 0.158847 0.565122i
503503 22.6436 22.6436i 1.00963 1.00963i 0.00967595 0.999953i 0.496920π-0.496920\pi
0.999953 0.00967595i 0.00308000π-0.00308000\pi
504504 −11.1728 + 4.15521i −0.497674 + 0.185088i
505505 −14.7409 14.7409i −0.655960 0.655960i
506506 −0.191470 + 0.107449i −0.00851189 + 0.00477668i
507507 1.84353 4.45068i 0.0818741 0.197661i
508508 −29.9406 + 7.24354i −1.32840 + 0.321380i
509509 −21.3715 + 8.85238i −0.947276 + 0.392375i −0.802206 0.597047i 0.796341π-0.796341\pi
−0.145070 + 0.989421i 0.546341π0.546341\pi
510510 −23.1497 + 2.76049i −1.02509 + 0.122237i
511511 2.43216 0.107592
512512 −10.9004 + 19.8288i −0.481734 + 0.876317i
513513 −11.8945 −0.525155
514514 −26.5466 + 3.16556i −1.17092 + 0.139627i
515515 −32.1415 + 13.3134i −1.41632 + 0.586660i
516516 −17.7871 + 4.30324i −0.783031 + 0.189439i
517517 −0.149724 + 0.361465i −0.00658484 + 0.0158972i
518518 21.6976 12.1762i 0.953336 0.534990i
519519 20.0789 + 20.0789i 0.881366 + 0.881366i
520520 15.1137 5.62087i 0.662780 0.246491i
521521 −9.76588 + 9.76588i −0.427851 + 0.427851i −0.887896 0.460045i 0.847833π-0.847833\pi
0.460045 + 0.887896i 0.347833π0.347833\pi
522522 1.94162 6.90761i 0.0849825 0.302338i
523523 −16.9370 7.01552i −0.740601 0.306767i −0.0197010 0.999806i 0.506271π-0.506271\pi
−0.720900 + 0.693039i 0.756271π0.756271\pi
524524 −5.18406 + 3.78032i −0.226467 + 0.165144i
525525 −3.26579 7.88431i −0.142531 0.344099i
526526 26.1480 + 20.5763i 1.14011 + 0.897170i
527527 7.55136i 0.328942i
528528 0.721654 0.370889i 0.0314060 0.0161409i
529529 21.8776i 0.951202i
530530 2.88201 3.66240i 0.125187 0.159085i
531531 1.55822 + 3.76187i 0.0676209 + 0.163251i
532532 2.53109 16.1637i 0.109737 0.700785i
533533 −10.0711 4.17157i −0.436226 0.180691i
534534 11.2415 + 3.15980i 0.486465 + 0.136738i
535535 −18.7393 + 18.7393i −0.810170 + 0.810170i
536536 31.5744 29.3412i 1.36381 1.26735i
537537 −24.5674 24.5674i −1.06016 1.06016i
538538 9.06156 + 16.1474i 0.390672 + 0.696165i
539539 −0.455108 + 1.09873i −0.0196029 + 0.0473256i
540540 −17.8316 10.8843i −0.767348 0.468386i
541541 14.2214 5.89071i 0.611427 0.253261i −0.0554115 0.998464i 0.517647π-0.517647\pi
0.666839 + 0.745202i 0.267647π0.267647\pi
542542 −4.72451 39.6201i −0.202935 1.70183i
543543 2.81470 0.120791
544544 20.3892 + 30.2274i 0.874180 + 1.29599i
545545 23.5393 1.00831
546546 2.78039 + 23.3166i 0.118990 + 0.997857i
547547 −9.67342 + 4.00686i −0.413606 + 0.171321i −0.579776 0.814776i 0.696860π-0.696860\pi
0.166170 + 0.986097i 0.446860π0.446860\pi
548548 15.8793 26.0148i 0.678331 1.11130i
549549 1.55701 3.75895i 0.0664515 0.160428i
550550 −0.160835 0.286603i −0.00685803 0.0122208i
551551 6.96362 + 6.96362i 0.296660 + 0.296660i
552552 −0.151955 + 4.14490i −0.00646765 + 0.176418i
553553 −19.4514 + 19.4514i −0.827157 + 0.827157i
554554 32.1613 + 9.04006i 1.36640 + 0.384075i
555555 10.6928 + 4.42912i 0.453886 + 0.188006i
556556 10.2311 + 1.60209i 0.433893 + 0.0679437i
557557 −3.08965 7.45908i −0.130913 0.316051i 0.844808 0.535070i 0.179715π-0.179715\pi
−0.975721 + 0.219018i 0.929715π0.929715\pi
558558 1.11070 1.41145i 0.0470196 0.0597516i
559559 20.3959i 0.862653i
560560 18.5854 21.9156i 0.785376 0.926102i
561561 1.30744i 0.0552002i
562562 −4.72562 3.71868i −0.199338 0.156863i
563563 10.1815 + 24.5802i 0.429097 + 1.03593i 0.979574 + 0.201082i 0.0644457π0.0644457\pi
−0.550477 + 0.834850i 0.685554π0.685554\pi
564564 4.35480 + 5.97186i 0.183370 + 0.251461i
565565 10.0398 + 4.15862i 0.422377 + 0.174954i
566566 −0.709521 + 2.52422i −0.0298234 + 0.106101i
567567 12.5713 12.5713i 0.527943 0.527943i
568568 12.4002 + 5.67715i 0.520301 + 0.238208i
569569 8.12862 + 8.12862i 0.340770 + 0.340770i 0.856657 0.515887i 0.172538π-0.172538\pi
−0.515887 + 0.856657i 0.672538π0.672538\pi
570570 6.63696 3.72451i 0.277992 0.156002i
571571 −7.40930 + 17.8876i −0.310070 + 0.748574i 0.689632 + 0.724160i 0.257772π0.257772\pi
−0.999702 + 0.0244147i 0.992228π0.992228\pi
572572 0.212644 + 0.878944i 0.00889107 + 0.0367505i
573573 11.5849 4.79862i 0.483965 0.200465i
574574 −19.2888 + 2.30010i −0.805100 + 0.0960044i
575575 1.68000 0.0700609
576576 −0.635005 + 8.64889i −0.0264585 + 0.360371i
577577 −11.9134 −0.495959 −0.247980 0.968765i 0.579767π-0.579767\pi
−0.247980 + 0.968765i 0.579767π0.579767\pi
578578 34.4667 4.10999i 1.43363 0.170953i
579579 7.98890 3.30911i 0.332008 0.137522i
580580 4.06726 + 16.8117i 0.168884 + 0.698066i
581581 11.6582 28.1453i 0.483662 1.16766i
582582 −17.6287 + 9.89283i −0.730734 + 0.410071i
583583 0.184807 + 0.184807i 0.00765391 + 0.00765391i
584584 0.736560 1.60882i 0.0304791 0.0665734i
585585 4.36999 4.36999i 0.180677 0.180677i
586586 −10.5176 + 37.4179i −0.434478 + 1.54572i
587587 −23.6011 9.77588i −0.974120 0.403494i −0.161876 0.986811i 0.551754π-0.551754\pi
−0.812244 + 0.583318i 0.801754π0.801754\pi
588588 13.2371 + 18.1524i 0.545889 + 0.748592i
589589 0.943348 + 2.27744i 0.0388700 + 0.0938404i
590590 −7.71357 6.06995i −0.317563 0.249896i
591591 6.55765i 0.269746i
592592 −1.48333 18.0399i −0.0609645 0.741435i
593593 12.5549i 0.515567i 0.966203 + 0.257784i 0.0829922π0.0829922\pi
−0.966203 + 0.257784i 0.917008π0.917008\pi
594594 0.724508 0.920690i 0.0297269 0.0377764i
595595 −17.7194 42.7784i −0.726425 1.75374i
596596 9.24819 + 1.44818i 0.378821 + 0.0593198i
597597 11.1077 + 4.60097i 0.454609 + 0.188305i
598598 −4.45020 1.25088i −0.181982 0.0511524i
599599 −6.66010 + 6.66010i −0.272124 + 0.272124i −0.829955 0.557830i 0.811634π-0.811634\pi
0.557830 + 0.829955i 0.311634π0.311634\pi
600600 −6.20431 0.227455i −0.253290 0.00928582i
601601 27.4318 + 27.4318i 1.11896 + 1.11896i 0.991894 + 0.127071i 0.0405577π0.0405577\pi
0.127071 + 0.991894i 0.459442π0.459442\pi
602602 −17.7871 31.6960i −0.724946 1.29183i
603603 6.32175 15.2621i 0.257442 0.621519i
604604 19.5026 31.9507i 0.793548 1.30005i
605605 18.7415 7.76299i 0.761951 0.315610i
606606 −2.61504 21.9299i −0.106229 0.890843i
607607 −20.3361 −0.825416 −0.412708 0.910863i 0.635417π-0.635417\pi
−0.412708 + 0.910863i 0.635417π0.635417\pi
608608 −9.92540 6.56930i −0.402528 0.266420i
609609 −25.1878 −1.02066
610610 1.16131 + 9.73886i 0.0470202 + 0.394315i
611611 −7.61040 + 3.15233i −0.307884 + 0.127530i
612612 11.9276 + 7.28058i 0.482146 + 0.294300i
613613 −13.3277 + 32.1759i −0.538301 + 1.29957i 0.387608 + 0.921824i 0.373301π0.373301\pi
−0.925908 + 0.377748i 0.876699π0.876699\pi
614614 −10.4925 18.6973i −0.423442 0.754561i
615615 −6.38960 6.38960i −0.257654 0.257654i
616616 1.09698 + 1.18047i 0.0441984 + 0.0475624i
617617 −11.3168 + 11.3168i −0.455599 + 0.455599i −0.897208 0.441609i 0.854408π-0.854408\pi
0.441609 + 0.897208i 0.354408π0.354408\pi
618618 −35.4816 9.97332i −1.42728 0.401186i
619619 −0.224799 0.0931149i −0.00903545 0.00374260i 0.378161 0.925740i 0.376557π-0.376557\pi
−0.387197 + 0.921997i 0.626557π0.626557\pi
620620 −0.669808 + 4.27744i −0.0269001 + 0.171786i
621621 2.29186 + 5.53304i 0.0919691 + 0.222033i
622622 −8.84916 + 11.2453i −0.354819 + 0.450897i
623623 23.1917i 0.929157i
624624 16.2654 + 5.22207i 0.651137 + 0.209050i
625625 14.5563i 0.582254i
626626 18.6267 + 14.6577i 0.744473 + 0.585839i
627627 0.163331 + 0.394316i 0.00652282 + 0.0157475i
628628 −27.9035 + 20.3478i −1.11347 + 0.811964i
629629 −26.9469 11.1618i −1.07444 0.445048i
630630 2.98010 10.6022i 0.118730 0.422400i
631631 1.15481 1.15481i 0.0459722 0.0459722i −0.683747 0.729719i 0.739651π-0.739651\pi
0.729719 + 0.683747i 0.239651π0.239651\pi
632632 6.97595 + 18.7573i 0.277488 + 0.746127i
633633 13.3404 + 13.3404i 0.530233 + 0.530233i
634634 −25.2800 + 14.1866i −1.00400 + 0.563420i
635635 10.8910 26.2931i 0.432195 1.04341i
636636 4.79883 1.16098i 0.190286 0.0460360i
637637 −23.1330 + 9.58199i −0.916562 + 0.379652i
638638 −0.963179 + 0.114855i −0.0381326 + 0.00454714i
639639 5.22690 0.206773
640640 −8.86822 18.9308i −0.350547 0.748304i
641641 −14.1953 −0.560679 −0.280339 0.959901i 0.590447π-0.590447\pi
−0.280339 + 0.959901i 0.590447π0.590447\pi
642642 −27.8784 + 3.32436i −1.10027 + 0.131202i
643643 33.9334 14.0557i 1.33820 0.554302i 0.405219 0.914219i 0.367195π-0.367195\pi
0.932984 + 0.359917i 0.117195π0.117195\pi
644644 −8.00666 + 1.93706i −0.315507 + 0.0763308i
645645 6.47010 15.6202i 0.254760 0.615045i
646646 −16.7257 + 9.38607i −0.658063 + 0.369290i
647647 8.73969 + 8.73969i 0.343593 + 0.343593i 0.857716 0.514123i 0.171883π-0.171883\pi
−0.514123 + 0.857716i 0.671883π0.671883\pi
648648 −4.50849 12.1227i −0.177110 0.476225i
649649 0.389231 0.389231i 0.0152786 0.0152786i
650650 1.87239 6.66130i 0.0734412 0.261278i
651651 −5.82490 2.41275i −0.228296 0.0945632i
652652 18.6260 13.5825i 0.729451 0.531931i
653653 16.1182 + 38.9127i 0.630753 + 1.52277i 0.838679 + 0.544627i 0.183329π0.183329\pi
−0.207926 + 0.978145i 0.566671π0.566671\pi
654654 19.5976 + 15.4217i 0.766327 + 0.603037i
655655 5.92763i 0.231612i
656656 −4.32000 + 13.4557i −0.168668 + 0.525356i
657657 0.678143i 0.0264569i
658658 −9.07773 + 11.5358i −0.353887 + 0.449712i
659659 −8.93958 21.5821i −0.348237 0.840718i −0.996828 0.0795812i 0.974642π-0.974642\pi
0.648592 0.761136i 0.275358π-0.275358\pi
660660 −0.115970 + 0.740596i −0.00451414 + 0.0288277i
661661 −22.0088 9.11633i −0.856042 0.354584i −0.0888835 0.996042i 0.528330π-0.528330\pi
−0.767158 + 0.641458i 0.778330π0.778330\pi
662662 −14.6052 4.10530i −0.567647 0.159557i
663663 19.4647 19.4647i 0.755947 0.755947i
664664 −15.0869 16.2352i −0.585484 0.630047i
665665 10.6881 + 10.6881i 0.414468 + 0.414468i
666666 −3.39500 6.04979i −0.131554 0.234425i
667667 1.89754 4.58107i 0.0734732 0.177380i
668668 −7.21069 4.40138i −0.278990 0.170294i
669669 −1.22841 + 0.508825i −0.0474931 + 0.0196723i
670670 4.71515 + 39.5416i 0.182162 + 1.52763i
671671 −0.550028 −0.0212336
672672 29.8312 6.06961i 1.15076 0.234140i
673673 45.0980 1.73840 0.869200 0.494460i 0.164634π-0.164634\pi
0.869200 + 0.494460i 0.164634π0.164634\pi
674674 −0.541560 4.54156i −0.0208601 0.174934i
675675 −8.28216 + 3.43058i −0.318780 + 0.132043i
676676 3.62650 5.94123i 0.139481 0.228509i
677677 13.6058 32.8474i 0.522915 1.26243i −0.413170 0.910654i 0.635579π-0.635579\pi
0.936085 0.351774i 0.114421π-0.114421\pi
678678 5.63410 + 10.0398i 0.216376 + 0.385576i
679679 −28.3892 28.3892i −1.08948 1.08948i
680680 −33.6631 1.23412i −1.29092 0.0473263i
681681 15.0117 15.0117i 0.575248 0.575248i
682682 −0.233745 0.0657022i −0.00895057 0.00251587i
683683 18.8141 + 7.79305i 0.719901 + 0.298193i 0.712395 0.701779i 0.247611π-0.247611\pi
0.00750651 + 0.999972i 0.497611π0.497611\pi
684684 −4.50682 0.705727i −0.172323 0.0269841i
685685 10.7757 + 26.0148i 0.411718 + 0.993974i
686686 −3.79216 + 4.81900i −0.144785 + 0.183990i
687687 6.52547i 0.248962i
688688 −26.3528 + 2.16686i −1.00469 + 0.0826108i
689689 5.50267i 0.209635i
690690 −3.01138 2.36971i −0.114641 0.0902132i
691691 12.6322 + 30.4967i 0.480550 + 1.16015i 0.959348 + 0.282226i 0.0910726π0.0910726\pi
−0.478798 + 0.877925i 0.658927π0.658927\pi
692692 24.1742 + 33.1508i 0.918967 + 1.26020i
693693 0.570601 + 0.236351i 0.0216753 + 0.00897822i
694694 9.82705 34.9612i 0.373030 1.32711i
695695 −6.76521 + 6.76521i −0.256619 + 0.256619i
696696 −7.62793 + 16.6612i −0.289136 + 0.631540i
697697 16.1023 + 16.1023i 0.609920 + 0.609920i
698698 16.7881 9.42108i 0.635437 0.356593i
699699 −12.5790 + 30.3684i −0.475782 + 1.14864i
700700 −2.89949 11.9848i −0.109591 0.452983i
701701 0.915341 0.379146i 0.0345719 0.0143202i −0.365330 0.930878i 0.619044π-0.619044\pi
0.399902 + 0.916558i 0.369044π0.369044\pi
702702 24.4931 2.92069i 0.924434 0.110234i
703703 9.52138 0.359106
704704 1.11306 0.368129i 0.0419501 0.0138744i
705705 −6.82843 −0.257173
706706 12.1802 1.45243i 0.458407 0.0546629i
707707 40.5244 16.7858i 1.52408 0.631293i
708708 −2.44521 10.1071i −0.0918965 0.379846i
709709 −18.9677 + 45.7920i −0.712346 + 1.71975i −0.0182911 + 0.999833i 0.505823π0.505823\pi
−0.694055 + 0.719922i 0.744177π0.744177\pi
710710 −10.9879 + 6.16619i −0.412370 + 0.231413i
711711 5.42350 + 5.42350i 0.203397 + 0.203397i
712712 15.3408 + 7.02343i 0.574921 + 0.263214i
713713 0.877646 0.877646i 0.0328681 0.0328681i
714714 13.2739 47.2239i 0.496764 1.76731i
715715 −0.771869 0.319719i −0.0288663 0.0119568i
716716 −29.5783 40.5615i −1.10539 1.51585i
717717 8.39128 + 20.2583i 0.313378 + 0.756561i
718718 −21.4235 16.8586i −0.799520 0.629157i
719719 12.7931i 0.477102i −0.971130 0.238551i 0.923328π-0.923328\pi
0.971130 0.238551i 0.0766724π-0.0766724\pi
720720 −6.11058 5.18205i −0.227728 0.193123i
721721 73.2004i 2.72612i
722722 −12.7448 + 16.1958i −0.474312 + 0.602746i
723723 0.165975 + 0.400700i 0.00617269 + 0.0149022i
724724 4.01797 + 0.629177i 0.149327 + 0.0233832i
725725 6.85720 + 2.84035i 0.254670 + 0.105488i
726726 20.6891 + 5.81539i 0.767845 + 0.215829i
727727 −0.466154 + 0.466154i −0.0172887 + 0.0172887i −0.715698 0.698410i 0.753891π-0.753891\pi
0.698410 + 0.715698i 0.253891π0.253891\pi
728728 −1.24301 + 33.9058i −0.0460692 + 1.25663i
729729 −20.1043 20.1043i −0.744603 0.744603i
730730 0.800008 + 1.42559i 0.0296096 + 0.0527634i
731731 −16.3052 + 39.3642i −0.603069 + 1.45594i
732732 −5.41354 + 8.86890i −0.200090 + 0.327804i
733733 34.0271 14.0945i 1.25682 0.520591i 0.347887 0.937536i 0.386899π-0.386899\pi
0.908932 + 0.416945i 0.136899π0.136899\pi
734734 4.85276 + 40.6956i 0.179119 + 1.50210i
735735 −20.7561 −0.765599
736736 −1.14343 + 5.88285i −0.0421475 + 0.216845i
737737 −2.23322 −0.0822616
738738 0.641323 + 5.37818i 0.0236074 + 0.197974i
739739 8.25825 3.42068i 0.303785 0.125832i −0.225584 0.974224i 0.572429π-0.572429\pi
0.529368 + 0.848392i 0.322429π0.322429\pi
740740 14.2739 + 8.71274i 0.524720 + 0.320287i
741741 −3.43882 + 8.30205i −0.126328 + 0.304984i
742742 4.79883 + 8.55136i 0.176170 + 0.313930i
743743 −32.4060 32.4060i −1.18886 1.18886i −0.977383 0.211477i 0.932173π-0.932173\pi
−0.211477 0.977383i 0.567827π-0.567827\pi
744744 −3.36000 + 3.12235i −0.123184 + 0.114471i
745745 −6.11529 + 6.11529i −0.224047 + 0.224047i
746746 8.19877 + 2.30455i 0.300178 + 0.0843755i
747747 −7.84757 3.25057i −0.287127 0.118932i
748748 0.292255 1.86636i 0.0106859 0.0682410i
749749 −21.3388 51.5165i −0.779704 1.88237i
750750 14.7312 18.7201i 0.537906 0.683561i
751751 21.5108i 0.784939i 0.919765 + 0.392470i 0.128379π0.128379\pi
−0.919765 + 0.392470i 0.871621π0.871621\pi
752752 4.88155 + 9.49824i 0.178012 + 0.346365i
753753 12.8732i 0.469126i
754754 −16.0494 12.6296i −0.584484 0.459941i
755755 13.2344 + 31.9507i 0.481649 + 1.16280i
756756 35.5162 25.8991i 1.29171 0.941941i
757757 −17.3649 7.19276i −0.631137 0.261425i 0.0440993 0.999027i 0.485958π-0.485958\pi
−0.675236 + 0.737602i 0.735958π0.735958\pi
758758 −8.55274 + 30.4276i −0.310649 + 1.10518i
759759 0.151955 0.151955i 0.00551563 0.00551563i
760760 10.3068 3.83314i 0.373866 0.139043i
761761 −37.8574 37.8574i −1.37233 1.37233i −0.856977 0.515354i 0.827660π-0.827660\pi
−0.515354 0.856977i 0.672340π-0.672340\pi
762762 26.2931 14.7551i 0.952500 0.534521i
763763 −18.9538 + 45.7585i −0.686174 + 1.65657i
764764 17.6100 4.26040i 0.637107 0.154136i
765765 −11.9276 + 4.94059i −0.431245 + 0.178627i
766766 42.9237 5.11845i 1.55090 0.184937i
767767 11.5894 0.418471
768768 5.01922 21.5708i 0.181116 0.778368i
769769 3.07370 0.110840 0.0554201 0.998463i 0.482350π-0.482350\pi
0.0554201 + 0.998463i 0.482350π0.482350\pi
770770 −1.47834 + 0.176285i −0.0532756 + 0.00635286i
771771 24.1753 10.0137i 0.870651 0.360635i
772772 12.1438 2.93796i 0.437065 0.105740i
773773 −6.55831 + 15.8332i −0.235886 + 0.569479i −0.996850 0.0793155i 0.974727π-0.974727\pi
0.760964 + 0.648795i 0.224727π0.224727\pi
774774 −8.83759 + 4.95945i −0.317660 + 0.178264i
775775 1.31371 + 1.31371i 0.0471898 + 0.0471898i
776776 −27.3763 + 10.1814i −0.982750 + 0.365490i
777777 −17.2197 + 17.2197i −0.617753 + 0.617753i
778778 7.06634 25.1395i 0.253341 0.901296i
779779 −6.86794 2.84479i −0.246070 0.101925i
780780 −12.7523 + 9.29920i −0.456604 + 0.332965i
781781 −0.270406 0.652818i −0.00967589 0.0233597i
782782 7.58892 + 5.97186i 0.271379 + 0.213553i
783783 26.4588i 0.945561i
784784 14.8382 + 28.8714i 0.529937 + 1.03112i
785785 31.9058i 1.13877i
786786 3.88347 4.93504i 0.138519 0.176027i
787787 −6.77706 16.3613i −0.241576 0.583216i 0.755864 0.654729i 0.227217π-0.227217\pi
−0.997440 + 0.0715129i 0.977217π0.977217\pi
788788 −1.46585 + 9.36100i −0.0522186 + 0.333472i
789789 −30.0877 12.4627i −1.07115 0.443685i
790790 −17.7994 5.00313i −0.633274 0.178004i
791791 −16.1680 + 16.1680i −0.574869 + 0.574869i
792792 0.329142 0.305863i 0.0116956 0.0108684i
793793 −8.18862 8.18862i −0.290786 0.290786i
794794 −12.9447 23.0671i −0.459390 0.818619i
795795 −1.74559 + 4.21422i −0.0619096 + 0.149463i
796796 14.8278 + 9.05080i 0.525556 + 0.320797i
797797 −32.4476 + 13.4402i −1.14935 + 0.476077i −0.874316 0.485356i 0.838690π-0.838690\pi
−0.275036 + 0.961434i 0.588690π0.588690\pi
798798 1.89608 + 15.9007i 0.0671205 + 0.562878i
799799 17.2082 0.608783
800800 −8.80577 1.71155i −0.311331 0.0605126i
801801 6.46640 0.228479
802802 −1.84203 15.4474i −0.0650445 0.545468i
803803 −0.0846974 + 0.0350828i −0.00298891 + 0.00123805i
804804 −21.9800 + 36.0094i −0.775174 + 1.26995i
805805 2.91245 7.03127i 0.102650 0.247820i
806806 −2.50176 4.45807i −0.0881209 0.157029i
807807 −12.8150 12.8150i −0.451109 0.451109i
808808 1.16909 31.8894i 0.0411285 1.12187i
809809 11.2704 11.2704i 0.396246 0.396246i −0.480661 0.876907i 0.659603π-0.659603\pi
0.876907 + 0.480661i 0.159603π0.159603\pi
810810 11.5036 + 3.23348i 0.404195 + 0.113613i
811811 −16.3328 6.76529i −0.573524 0.237561i 0.0770206 0.997029i 0.475459π-0.475459\pi
−0.650545 + 0.759468i 0.725459π0.725459\pi
812812 −35.9555 5.63029i −1.26179 0.197585i
813813 14.9452 + 36.0809i 0.524150 + 1.26541i
814814 −0.579959 + 0.737000i −0.0203275 + 0.0258318i
815815 21.2976i 0.746023i
816816 −27.2176 23.0818i −0.952808 0.808023i
817817 13.9089i 0.486611i
818818 1.82102 + 1.43300i 0.0636705 + 0.0501035i
819819 4.97620 + 12.0136i 0.173882 + 0.419789i
820820 −7.69284 10.5494i −0.268646 0.368401i
821821 29.5124 + 12.2244i 1.02999 + 0.426636i 0.832709 0.553711i 0.186789π-0.186789\pi
0.197281 + 0.980347i 0.436789π0.436789\pi
822822 −8.07225 + 28.7182i −0.281552 + 1.00166i
823823 1.00381 1.00381i 0.0349906 0.0349906i −0.689395 0.724386i 0.742124π-0.742124\pi
0.724386 + 0.689395i 0.242124π0.242124\pi
824824 −48.4204 22.1681i −1.68680 0.772264i
825825 0.227455 + 0.227455i 0.00791898 + 0.00791898i
826826 18.0105 10.1071i 0.626664 0.351669i
827827 15.7060 37.9176i 0.546151 1.31852i −0.374170 0.927360i 0.622072π-0.622072\pi
0.920321 0.391165i 0.127928π-0.127928\pi
828828 0.540098 + 2.23245i 0.0187697 + 0.0775829i
829829 31.9806 13.2468i 1.11073 0.460081i 0.249543 0.968364i 0.419720π-0.419720\pi
0.861190 + 0.508283i 0.169720π0.169720\pi
830830 20.3318 2.42447i 0.705728 0.0841547i
831831 −32.6984 −1.13430
832832 22.0515 + 11.0903i 0.764496 + 0.384487i
833833 52.3070 1.81233
834834 −10.0646 + 1.20015i −0.348507 + 0.0415579i
835835 7.21069 2.98677i 0.249536 0.103361i
836836 0.145012 + 0.599394i 0.00501534 + 0.0207305i
837837 −2.53450 + 6.11882i −0.0876051 + 0.211498i
838838 42.7652 23.9989i 1.47730 0.829027i
839839 3.42599 + 3.42599i 0.118278 + 0.118278i 0.763768 0.645490i 0.223347π-0.223347\pi
−0.645490 + 0.763768i 0.723347π0.723347\pi
840840 −11.7077 + 25.5724i −0.403956 + 0.882333i
841841 −5.01582 + 5.01582i −0.172959 + 0.172959i
842842 −9.34602 + 33.2498i −0.322085 + 1.14586i
843843 5.43764 + 2.25234i 0.187282 + 0.0775749i
844844 16.0613 + 22.0253i 0.552853 + 0.758143i
845845 2.46094 + 5.94123i 0.0846588 + 0.204384i
846846 3.21645 + 2.53109i 0.110584 + 0.0870205i
847847 42.6827i 1.46660i
848848 7.10981 0.584604i 0.244152 0.0200754i
849849 2.56638i 0.0880779i
850850 −8.93901 + 11.3595i −0.306606 + 0.389628i
851851 −1.83460 4.42912i −0.0628893 0.151828i
852852 −13.1878 2.06508i −0.451805 0.0707485i
853853 −33.4739 13.8653i −1.14612 0.474740i −0.272892 0.962045i 0.587980π-0.587980\pi
−0.873232 + 0.487305i 0.837980π0.837980\pi
854854 −19.8666 5.58421i −0.679823 0.191088i
855855 2.98010 2.98010i 0.101917 0.101917i
856856 −40.5393 1.48621i −1.38560 0.0507975i
857857 19.6667 + 19.6667i 0.671800 + 0.671800i 0.958131 0.286331i 0.0924356π-0.0924356\pi
−0.286331 + 0.958131i 0.592436π0.592436\pi
858858 −0.433155 0.771869i −0.0147877 0.0263512i
859859 15.0121 36.2424i 0.512207 1.23658i −0.430390 0.902643i 0.641624π-0.641624\pi
0.942597 0.333933i 0.108376π-0.108376\pi
860860 12.7276 20.8515i 0.434009 0.711029i
861861 17.5658 7.27598i 0.598640 0.247965i
862862 −0.749491 6.28529i −0.0255278 0.214078i
863863 28.3727 0.965819 0.482909 0.875670i 0.339580π-0.339580\pi
0.482909 + 0.875670i 0.339580π0.339580\pi
864864 −6.37588 31.3365i −0.216912 1.06609i
865865 −37.9058 −1.28883
866866 −0.241459 2.02489i −0.00820510 0.0688085i
867867 −31.3878 + 13.0013i −1.06599 + 0.441546i
868868 −7.77568 4.74624i −0.263924 0.161098i
869869 0.396796 0.957951i 0.0134604 0.0324963i
870870 −8.28501 14.7636i −0.280888 0.500534i
871871 −33.2473 33.2473i −1.12654 1.12654i
872872 24.5282 + 26.3951i 0.830630 + 0.893851i
873873 −7.91558 + 7.91558i −0.267902 + 0.267902i
874874 −3.03480 0.853036i −0.102654 0.0288544i
875875 43.7096 + 18.1051i 1.47765 + 0.612064i
876876 −0.267926 + 1.71099i −0.00905238 + 0.0578092i
877877 −10.1396 24.4793i −0.342391 0.826606i −0.997473 0.0710476i 0.977366π-0.977366\pi
0.655082 0.755558i 0.272634π-0.272634\pi
878878 −1.05700 + 1.34321i −0.0356720 + 0.0453312i
879879 38.0427i 1.28315i
880880 −0.331094 + 1.03127i −0.0111612 + 0.0347642i
881881 9.35846i 0.315295i 0.987495 + 0.157647i 0.0503909π0.0503909\pi
−0.987495 + 0.157647i 0.949609π0.949609\pi
882882 9.77691 + 7.69363i 0.329206 + 0.259058i
883883 7.09207 + 17.1218i 0.238667 + 0.576193i 0.997145 0.0755050i 0.0240569π-0.0240569\pi
−0.758478 + 0.651698i 0.774057π0.774057\pi
884884 32.1367 23.4348i 1.08088 0.788196i
885885 8.87579 + 3.67647i 0.298356 + 0.123583i
886886 −4.68913 + 16.6823i −0.157535 + 0.560452i
887887 30.8931 30.8931i 1.03729 1.03729i 0.0380100 0.999277i 0.487898π-0.487898\pi
0.999277 0.0380100i 0.0121019π-0.0121019\pi
888888 6.17559 + 16.6053i 0.207239 + 0.557237i
889889 42.3424 + 42.3424i 1.42012 + 1.42012i
890890 −13.5936 + 7.62844i −0.455660 + 0.255706i
891891 −0.256446 + 0.619115i −0.00859126 + 0.0207411i
892892 −1.86729 + 0.451754i −0.0625214 + 0.0151259i
893893 −5.18989 + 2.14972i −0.173673 + 0.0719378i
894894 −9.09770 + 1.08486i −0.304272 + 0.0362831i
895895 46.3794 1.55029
896896 43.9406 1.99610i 1.46795 0.0666849i
897897 4.52452 0.151069
898898 34.4849 4.11216i 1.15078 0.137225i
899899 5.06608 2.09844i 0.168963 0.0699868i
900900 −3.34165 + 0.808448i −0.111388 + 0.0269483i
901901 4.39903 10.6202i 0.146553 0.353810i
902902 0.638535 0.358331i 0.0212609 0.0119311i
903903 25.1547 + 25.1547i 0.837096 + 0.837096i
904904 5.79843 + 15.5912i 0.192853 + 0.518554i
905905 −2.65685 + 2.65685i −0.0883168 + 0.0883168i
906906 −9.91412 + 35.2709i −0.329375 + 1.17180i
907907 12.6479 + 5.23891i 0.419965 + 0.173955i 0.582651 0.812723i 0.302016π-0.302016\pi
−0.162686 + 0.986678i 0.552016π0.552016\pi
908908 24.7846 18.0735i 0.822507 0.599789i
909909 −4.68027 11.2992i −0.155235 0.374770i
910910 −24.6334 19.3845i −0.816590 0.642590i
911911 35.3498i 1.17119i −0.810604 0.585595i 0.800861π-0.800861\pi
0.810604 0.585595i 0.199139π-0.199139\pi
912912 11.0921 + 3.56118i 0.367298 + 0.117922i
913913 1.14829i 0.0380030i
914914 −17.5237 + 22.2687i −0.579632 + 0.736584i
915915 −3.67362 8.86890i −0.121446 0.293197i
916916 1.45865 9.31507i 0.0481953 0.307779i
917917 11.5228 + 4.77292i 0.380518 + 0.157616i
918918 −49.6068 13.9437i −1.63727 0.460211i
919919 −30.0652 + 30.0652i −0.991759 + 0.991759i −0.999966 0.00820720i 0.997388π-0.997388\pi
0.00820720 + 0.999966i 0.497388π0.497388\pi
920920 −3.76901 4.05588i −0.124261 0.133718i
921921 14.8386 + 14.8386i 0.488949 + 0.488949i
922922 21.3343 + 38.0171i 0.702608 + 1.25203i
923923 5.69321 13.7446i 0.187394 0.452410i
924924 −1.34628 0.821763i −0.0442893 0.0270340i
925925 6.62975 2.74613i 0.217985 0.0902923i
926926 −2.48147 20.8098i −0.0815462 0.683853i
927927 −20.4100 −0.670352
928928 −14.6131 + 22.0786i −0.479700 + 0.724767i
929929 7.62858 0.250286 0.125143 0.992139i 0.460061π-0.460061\pi
0.125143 + 0.992139i 0.460061π0.460061\pi
930930 −0.501765 4.20784i −0.0164535 0.137980i
931931 −15.7755 + 6.53442i −0.517020 + 0.214157i
932932 −24.7448 + 40.5389i −0.810542 + 1.32790i
933933 5.35979 12.9397i 0.175472 0.423626i
934934 −9.82974 17.5163i −0.321639 0.573151i
935935 1.23412 + 1.23412i 0.0403600 + 0.0403600i
936936 9.45373 + 0.346582i 0.309005 + 0.0113284i
937937 −21.2074 + 21.2074i −0.692817 + 0.692817i −0.962851 0.270034i 0.912965π-0.912965\pi
0.270034 + 0.962851i 0.412965π0.412965\pi
938938 −80.6623 22.6729i −2.63372 0.740298i
939939 −21.4332 8.87793i −0.699446 0.289720i
940940 −9.74754 1.52637i −0.317930 0.0497848i
941941 13.0249 + 31.4448i 0.424599 + 1.02507i 0.980974 + 0.194141i 0.0621918π0.0621918\pi
−0.556375 + 0.830931i 0.687808π0.687808\pi
942942 20.9030 26.5631i 0.681056 0.865472i
943943 3.74294i 0.121887i
944944 −1.23127 14.9743i −0.0400743 0.487373i
945945 40.6104i 1.32106i
946946 1.07662 + 0.847209i 0.0350038 + 0.0275451i
947947 −18.6229 44.9596i −0.605162 1.46099i −0.868205 0.496206i 0.834726π-0.834726\pi
0.263043 0.964784i 0.415274π-0.415274\pi
948948 −11.5411 15.8266i −0.374836 0.514023i
949949 −1.78324 0.738644i −0.0578866 0.0239774i
950950 1.27687 4.54266i 0.0414272 0.147383i
951951 20.0628 20.0628i 0.650582 0.650582i
952952 29.5045 64.4447i 0.956246 2.08866i
953953 −33.7784 33.7784i −1.09419 1.09419i −0.995076 0.0991142i 0.968399π-0.968399\pi
−0.0991142 0.995076i 0.531601π-0.531601\pi
954954 2.38432 1.33803i 0.0771952 0.0433202i
955955 −6.40569 + 15.4647i −0.207283 + 0.500426i
956956 7.45010 + 30.7944i 0.240954 + 0.995961i
957957 0.877140 0.363323i 0.0283539 0.0117446i
958958 −45.4599 + 5.42088i −1.46874 + 0.175141i
959959 −59.2472 −1.91319
960960 13.3700 + 15.4888i 0.431514 + 0.499899i
961961 −29.6274 −0.955723
962962 −19.6064 + 2.33797i −0.632136 + 0.0753792i
963963 −14.3640 + 5.94977i −0.462874 + 0.191729i
964964 0.147359 + 0.609098i 0.00474613 + 0.0196177i
965965 −4.41735 + 10.6644i −0.142199 + 0.343300i
966966 7.03127 3.94579i 0.226228 0.126954i
967967 19.3234 + 19.3234i 0.621399 + 0.621399i 0.945889 0.324490i 0.105193π-0.105193\pi
−0.324490 + 0.945889i 0.605193π0.605193\pi
968968 28.2337 + 12.9261i 0.907464 + 0.415461i
969969 13.2739 13.2739i 0.426420 0.426420i
970970 7.30205 25.9781i 0.234455 0.834107i
971971 −52.9160 21.9185i −1.69816 0.703399i −0.698234 0.715869i 0.746031π-0.746031\pi
−0.999922 + 0.0124699i 0.996031π0.996031\pi
972972 −12.5258 17.1770i −0.401766 0.550953i
973973 −7.70369 18.5983i −0.246969 0.596236i
974974 2.97806 + 2.34349i 0.0954233 + 0.0750903i
975975 6.77254i 0.216895i
976976 −9.71028 + 11.4502i −0.310818 + 0.366512i
977977 12.2792i 0.392848i 0.980519 + 0.196424i 0.0629329π0.0629329\pi
−0.980519 + 0.196424i 0.937067π0.937067\pi
978978 −13.9531 + 17.7313i −0.446170 + 0.566984i
979979 −0.334530 0.807628i −0.0106916 0.0258119i
980980 −29.6292 4.63965i −0.946469 0.148208i
981981 12.7586 + 5.28477i 0.407349 + 0.168730i
982982 26.9506 + 7.57539i 0.860028 + 0.241741i
983983 −14.1052 + 14.1052i −0.449887 + 0.449887i −0.895317 0.445430i 0.853051π-0.853051\pi
0.445430 + 0.895317i 0.353051π0.353051\pi
984984 0.506757 13.8228i 0.0161548 0.440656i
985985 −6.18989 6.18989i −0.197226 0.197226i
986986 20.8789 + 37.2056i 0.664920 + 1.18487i
987987 5.49824 13.2739i 0.175011 0.422513i
988988 −6.76468 + 11.0824i −0.215213 + 0.352579i
989989 −6.47010 + 2.68000i −0.205737 + 0.0852191i
990990 0.0491524 + 0.412196i 0.00156217 + 0.0131004i
991991 39.8015 1.26434 0.632169 0.774831i 0.282165π-0.282165\pi
0.632169 + 0.774831i 0.282165π0.282165\pi
992992 −5.49433 + 3.70607i −0.174445 + 0.117668i
993993 14.8491 0.471222
994994 −3.13910 26.3247i −0.0995661 0.834968i
995995 −14.8278 + 6.14186i −0.470071 + 0.194710i
996996 18.5156 + 11.3018i 0.586689 + 0.358113i
997997 2.57111 6.20720i 0.0814278 0.196584i −0.877922 0.478803i 0.841071π-0.841071\pi
0.959350 + 0.282219i 0.0910706π0.0910706\pi
998998 17.2700 + 30.7746i 0.546673 + 0.974154i
999999 18.0886 + 18.0886i 0.572299 + 0.572299i
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.21.1 8
3.2 odd 2 288.2.v.b.181.2 8
4.3 odd 2 128.2.g.b.49.1 8
5.2 odd 4 800.2.ba.c.149.1 8
5.3 odd 4 800.2.ba.d.149.2 8
5.4 even 2 800.2.y.b.501.2 8
8.3 odd 2 256.2.g.c.97.2 8
8.5 even 2 256.2.g.d.97.1 8
12.11 even 2 1152.2.v.b.433.2 8
16.3 odd 4 512.2.g.f.449.1 8
16.5 even 4 512.2.g.e.449.1 8
16.11 odd 4 512.2.g.g.449.2 8
16.13 even 4 512.2.g.h.449.2 8
32.3 odd 8 128.2.g.b.81.1 8
32.5 even 8 512.2.g.e.65.1 8
32.11 odd 8 512.2.g.f.65.1 8
32.13 even 8 256.2.g.d.161.1 8
32.19 odd 8 256.2.g.c.161.2 8
32.21 even 8 512.2.g.h.65.2 8
32.27 odd 8 512.2.g.g.65.2 8
32.29 even 8 inner 32.2.g.b.29.1 yes 8
64.3 odd 16 4096.2.a.q.1.6 8
64.29 even 16 4096.2.a.k.1.6 8
64.35 odd 16 4096.2.a.q.1.3 8
64.61 even 16 4096.2.a.k.1.3 8
96.29 odd 8 288.2.v.b.253.2 8
96.35 even 8 1152.2.v.b.721.2 8
160.29 even 8 800.2.y.b.701.2 8
160.93 odd 8 800.2.ba.c.349.1 8
160.157 odd 8 800.2.ba.d.349.2 8
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
32.2.g.b.21.1 8 1.1 even 1 trivial
32.2.g.b.29.1 yes 8 32.29 even 8 inner
128.2.g.b.49.1 8 4.3 odd 2
128.2.g.b.81.1 8 32.3 odd 8
256.2.g.c.97.2 8 8.3 odd 2
256.2.g.c.161.2 8 32.19 odd 8
256.2.g.d.97.1 8 8.5 even 2
256.2.g.d.161.1 8 32.13 even 8
288.2.v.b.181.2 8 3.2 odd 2
288.2.v.b.253.2 8 96.29 odd 8
512.2.g.e.65.1 8 32.5 even 8
512.2.g.e.449.1 8 16.5 even 4
512.2.g.f.65.1 8 32.11 odd 8
512.2.g.f.449.1 8 16.3 odd 4
512.2.g.g.65.2 8 32.27 odd 8
512.2.g.g.449.2 8 16.11 odd 4
512.2.g.h.65.2 8 32.21 even 8
512.2.g.h.449.2 8 16.13 even 4
800.2.y.b.501.2 8 5.4 even 2
800.2.y.b.701.2 8 160.29 even 8
800.2.ba.c.149.1 8 5.2 odd 4
800.2.ba.c.349.1 8 160.93 odd 8
800.2.ba.d.149.2 8 5.3 odd 4
800.2.ba.d.349.2 8 160.157 odd 8
1152.2.v.b.433.2 8 12.11 even 2
1152.2.v.b.721.2 8 96.35 even 8
4096.2.a.k.1.3 8 64.61 even 16
4096.2.a.k.1.6 8 64.29 even 16
4096.2.a.q.1.3 8 64.35 odd 16
4096.2.a.q.1.6 8 64.3 odd 16