Properties

Label 702.2.w.d.79.2
Level 702702
Weight 22
Character 702.79
Analytic conductor 5.6055.605
Analytic rank 00
Dimension 6666
Inner twists 22

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [702,2,Mod(79,702)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(702, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([10, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("702.79");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: N N == 702=23313 702 = 2 \cdot 3^{3} \cdot 13
Weight: k k == 2 2
Character orbit: [χ][\chi] == 702.w (of order 99, degree 66, 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: 5.605498221895.60549822189
Analytic rank: 00
Dimension: 6666
Relative dimension: 1111 over Q(ζ9)\Q(\zeta_{9})
Twist minimal: yes
Sato-Tate group: SU(2)[C9]\mathrm{SU}(2)[C_{9}]

Embedding invariants

Embedding label 79.2
Character χ\chi == 702.79
Dual form 702.2.w.d.391.2

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+(0.173648+0.984808i)q2+(1.554990.762899i)q3+(0.9396930.342020i)q4+(0.368840+0.309494i)q5+(1.021331.39889i)q6+(0.0350928+0.0127727i)q7+(0.5000000.866025i)q8+(1.83597+2.37260i)q9+(0.2407440.416980i)q10+(1.228901.03117i)q11+(1.20028+1.24873i)q12+(0.173648+0.984808i)q13+(0.006484890.0367776i)q14+(0.8096550.199871i)q15+(0.766044+0.642788i)q16+(2.844004.92596i)q17+(2.65536+1.39608i)q18+(0.7212601.24926i)q19+(0.4524500.164678i)q20+(0.0643132+0.00691081i)q21+(1.228901.03117i)q22+(8.01307+2.91652i)q23+(1.43818+0.965209i)q24+(0.827984+4.69573i)q251.00000q26+(1.044865.09002i)q27+0.0373450q28+(0.722801+4.09921i)q29+(0.0562396+0.832061i)q30+(8.19771+2.98372i)q31+(0.766044+0.642788i)q32+(1.12424+2.54098i)q33+(5.344981.94541i)q34+(0.008990560.0155721i)q35+(0.9137732.85745i)q36+(3.21107+5.56174i)q37+(1.10503+0.927234i)q38+(0.4812881.66384i)q39+(0.0836093+0.474172i)q40+(0.3047601.72838i)q41+(0.0179737+0.0621361i)q42+(9.34743+7.84342i)q43+(0.802106+1.38929i)q44+(1.411480.306887i)q45+(4.26366+7.38488i)q46+(10.24413.72856i)q47+(0.7008081.58394i)q48+(5.36124+4.49862i)q49+(4.480611.63081i)q50+(0.664382+9.82949i)q51+(0.1736480.984808i)q521.74510q53+(5.194130.145116i)q54+0.772408q55+(0.00648489+0.0367776i)q56+(2.07461+1.39233i)q57+(3.911421.42364i)q58+(6.81878+5.72164i)q59+(0.8291870.0891008i)q60+(9.251563.36729i)q61+(4.36191+7.55505i)q62+(0.09473390.0598107i)q63+(0.5000000.866025i)q64+(0.3688400.309494i)q65+(2.69760+0.665928i)q66+(0.0256044+0.145210i)q67+(0.987712+5.60159i)q68+(10.235210.6483i)q69+(0.0137743+0.0115580i)q70+(0.488931+0.846853i)q71+(2.972710.403700i)q72+(1.32294+2.29141i)q73+(6.03484+2.19650i)q74+(4.869876.67013i)q75+(1.10503+0.927234i)q76+(0.0562963+0.0204902i)q77+(1.55499+0.762899i)q78+(2.4073313.6527i)q790.481487q80+(2.25842+8.71203i)q81+1.75505q82+(1.139556.46269i)q83+(0.05807100.0284904i)q84+(2.57354+0.936691i)q85+(9.34743+7.84342i)q86+(4.251235.82280i)q87+(1.50747+0.548673i)q88+(0.176290+0.305343i)q89+(0.5473271.33675i)q90+(0.01867250.0323417i)q91+(6.532315.48126i)q92+(10.471110.8937i)q93+(1.89304+10.7360i)q94+(0.120608+0.684003i)q95+(1.681570.415112i)q96+(14.4735+12.1447i)q97+(3.499306.06097i)q98+(0.1903234.80887i)q99+O(q100)q+(-0.173648 + 0.984808i) q^{2} +(-1.55499 - 0.762899i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.368840 + 0.309494i) q^{5} +(1.02133 - 1.39889i) q^{6} +(-0.0350928 + 0.0127727i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.83597 + 2.37260i) q^{9} +(-0.240744 - 0.416980i) q^{10} +(-1.22890 - 1.03117i) q^{11} +(1.20028 + 1.24873i) q^{12} +(0.173648 + 0.984808i) q^{13} +(-0.00648489 - 0.0367776i) q^{14} +(0.809655 - 0.199871i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-2.84400 - 4.92596i) q^{17} +(-2.65536 + 1.39608i) q^{18} +(0.721260 - 1.24926i) q^{19} +(0.452450 - 0.164678i) q^{20} +(0.0643132 + 0.00691081i) q^{21} +(1.22890 - 1.03117i) q^{22} +(8.01307 + 2.91652i) q^{23} +(-1.43818 + 0.965209i) q^{24} +(-0.827984 + 4.69573i) q^{25} -1.00000 q^{26} +(-1.04486 - 5.09002i) q^{27} +0.0373450 q^{28} +(-0.722801 + 4.09921i) q^{29} +(0.0562396 + 0.832061i) q^{30} +(8.19771 + 2.98372i) q^{31} +(-0.766044 + 0.642788i) q^{32} +(1.12424 + 2.54098i) q^{33} +(5.34498 - 1.94541i) q^{34} +(0.00899056 - 0.0155721i) q^{35} +(-0.913773 - 2.85745i) q^{36} +(3.21107 + 5.56174i) q^{37} +(1.10503 + 0.927234i) q^{38} +(0.481288 - 1.66384i) q^{39} +(0.0836093 + 0.474172i) q^{40} +(-0.304760 - 1.72838i) q^{41} +(-0.0179737 + 0.0621361i) q^{42} +(9.34743 + 7.84342i) q^{43} +(0.802106 + 1.38929i) q^{44} +(-1.41148 - 0.306887i) q^{45} +(-4.26366 + 7.38488i) q^{46} +(10.2441 - 3.72856i) q^{47} +(-0.700808 - 1.58394i) q^{48} +(-5.36124 + 4.49862i) q^{49} +(-4.48061 - 1.63081i) q^{50} +(0.664382 + 9.82949i) q^{51} +(0.173648 - 0.984808i) q^{52} -1.74510 q^{53} +(5.19413 - 0.145116i) q^{54} +0.772408 q^{55} +(-0.00648489 + 0.0367776i) q^{56} +(-2.07461 + 1.39233i) q^{57} +(-3.91142 - 1.42364i) q^{58} +(-6.81878 + 5.72164i) q^{59} +(-0.829187 - 0.0891008i) q^{60} +(9.25156 - 3.36729i) q^{61} +(-4.36191 + 7.55505i) q^{62} +(-0.0947339 - 0.0598107i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-0.368840 - 0.309494i) q^{65} +(-2.69760 + 0.665928i) q^{66} +(0.0256044 + 0.145210i) q^{67} +(0.987712 + 5.60159i) q^{68} +(-10.2352 - 10.6483i) q^{69} +(0.0137743 + 0.0115580i) q^{70} +(0.488931 + 0.846853i) q^{71} +(2.97271 - 0.403700i) q^{72} +(-1.32294 + 2.29141i) q^{73} +(-6.03484 + 2.19650i) q^{74} +(4.86987 - 6.67013i) q^{75} +(-1.10503 + 0.927234i) q^{76} +(0.0562963 + 0.0204902i) q^{77} +(1.55499 + 0.762899i) q^{78} +(2.40733 - 13.6527i) q^{79} -0.481487 q^{80} +(-2.25842 + 8.71203i) q^{81} +1.75505 q^{82} +(1.13955 - 6.46269i) q^{83} +(-0.0580710 - 0.0284904i) q^{84} +(2.57354 + 0.936691i) q^{85} +(-9.34743 + 7.84342i) q^{86} +(4.25123 - 5.82280i) q^{87} +(-1.50747 + 0.548673i) q^{88} +(-0.176290 + 0.305343i) q^{89} +(0.547327 - 1.33675i) q^{90} +(-0.0186725 - 0.0323417i) q^{91} +(-6.53231 - 5.48126i) q^{92} +(-10.4711 - 10.8937i) q^{93} +(1.89304 + 10.7360i) q^{94} +(0.120608 + 0.684003i) q^{95} +(1.68157 - 0.415112i) q^{96} +(14.4735 + 12.1447i) q^{97} +(-3.49930 - 6.06097i) q^{98} +(0.190323 - 4.80887i) q^{99} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 66q+3q5+9q63q7+33q86q99q103q11+3q1427q15+12q1712q1821q196q2018q21+3q223q2566q26+9q27+15q99+O(q100) 66 q + 3 q^{5} + 9 q^{6} - 3 q^{7} + 33 q^{8} - 6 q^{9} - 9 q^{10} - 3 q^{11} + 3 q^{14} - 27 q^{15} + 12 q^{17} - 12 q^{18} - 21 q^{19} - 6 q^{20} - 18 q^{21} + 3 q^{22} - 3 q^{25} - 66 q^{26} + 9 q^{27}+ \cdots - 15 q^{99}+O(q^{100}) Copy content Toggle raw display

Character values

We give the values of χ\chi on generators for (Z/702Z)×\left(\mathbb{Z}/702\mathbb{Z}\right)^\times.

nn 379379 677677
χ(n)\chi(n) 11 e(59)e\left(\frac{5}{9}\right)

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 −0.173648 + 0.984808i −0.122788 + 0.696364i
33 −1.55499 0.762899i −0.897772 0.440460i
44 −0.939693 0.342020i −0.469846 0.171010i
55 −0.368840 + 0.309494i −0.164950 + 0.138410i −0.721527 0.692387i 0.756559π-0.756559\pi
0.556576 + 0.830797i 0.312115π0.312115\pi
66 1.02133 1.39889i 0.416956 0.571093i
77 −0.0350928 + 0.0127727i −0.0132638 + 0.00482764i −0.348644 0.937255i 0.613358π-0.613358\pi
0.335380 + 0.942083i 0.391135π0.391135\pi
88 0.500000 0.866025i 0.176777 0.306186i
99 1.83597 + 2.37260i 0.611990 + 0.790865i
1010 −0.240744 0.416980i −0.0761298 0.131861i
1111 −1.22890 1.03117i −0.370527 0.310909i 0.438443 0.898759i 0.355530π-0.355530\pi
−0.808970 + 0.587850i 0.799974π0.799974\pi
1212 1.20028 + 1.24873i 0.346492 + 0.360477i
1313 0.173648 + 0.984808i 0.0481613 + 0.273137i
1414 −0.00648489 0.0367776i −0.00173316 0.00982924i
1515 0.809655 0.199871i 0.209052 0.0516065i
1616 0.766044 + 0.642788i 0.191511 + 0.160697i
1717 −2.84400 4.92596i −0.689772 1.19472i −0.971911 0.235347i 0.924377π-0.924377\pi
0.282139 0.959373i 0.408956π-0.408956\pi
1818 −2.65536 + 1.39608i −0.625875 + 0.329060i
1919 0.721260 1.24926i 0.165468 0.286600i −0.771353 0.636407i 0.780420π-0.780420\pi
0.936821 + 0.349808i 0.113753π0.113753\pi
2020 0.452450 0.164678i 0.101171 0.0368232i
2121 0.0643132 + 0.00691081i 0.0140343 + 0.00150806i
2222 1.22890 1.03117i 0.262002 0.219846i
2323 8.01307 + 2.91652i 1.67084 + 0.608136i 0.992010 0.126159i 0.0402651π-0.0402651\pi
0.678830 + 0.734295i 0.262487π0.262487\pi
2424 −1.43818 + 0.965209i −0.293568 + 0.197022i
2525 −0.827984 + 4.69573i −0.165597 + 0.939146i
2626 −1.00000 −0.196116
2727 −1.04486 5.09002i −0.201084 0.979574i
2828 0.0373450 0.00705754
2929 −0.722801 + 4.09921i −0.134221 + 0.761204i 0.841178 + 0.540758i 0.181863π0.181863\pi
−0.975399 + 0.220446i 0.929249π0.929249\pi
3030 0.0562396 + 0.832061i 0.0102679 + 0.151913i
3131 8.19771 + 2.98372i 1.47235 + 0.535892i 0.948738 0.316064i 0.102361π-0.102361\pi
0.523614 + 0.851956i 0.324583π0.324583\pi
3232 −0.766044 + 0.642788i −0.135419 + 0.113630i
3333 1.12424 + 2.54098i 0.195706 + 0.442327i
3434 5.34498 1.94541i 0.916656 0.333636i
3535 0.00899056 0.0155721i 0.00151968 0.00263217i
3636 −0.913773 2.85745i −0.152295 0.476242i
3737 3.21107 + 5.56174i 0.527897 + 0.914344i 0.999471 + 0.0325176i 0.0103525π0.0103525\pi
−0.471575 + 0.881826i 0.656314π0.656314\pi
3838 1.10503 + 0.927234i 0.179260 + 0.150417i
3939 0.481288 1.66384i 0.0770677 0.266428i
4040 0.0836093 + 0.474172i 0.0132198 + 0.0749732i
4141 −0.304760 1.72838i −0.0475956 0.269928i 0.951718 0.306974i 0.0993164π-0.0993164\pi
−0.999314 + 0.0370458i 0.988205π0.988205\pi
4242 −0.0179737 + 0.0621361i −0.00277340 + 0.00958780i
4343 9.34743 + 7.84342i 1.42547 + 1.19611i 0.948331 + 0.317283i 0.102770π0.102770\pi
0.477138 + 0.878828i 0.341674π0.341674\pi
4444 0.802106 + 1.38929i 0.120922 + 0.209443i
4545 −1.41148 0.306887i −0.210412 0.0457481i
4646 −4.26366 + 7.38488i −0.628643 + 1.08884i
4747 10.2441 3.72856i 1.49426 0.543867i 0.539695 0.841861i 0.318540π-0.318540\pi
0.954568 + 0.297994i 0.0963175π0.0963175\pi
4848 −0.700808 1.58394i −0.101153 0.228622i
4949 −5.36124 + 4.49862i −0.765892 + 0.642660i
5050 −4.48061 1.63081i −0.633655 0.230631i
5151 0.664382 + 9.82949i 0.0930321 + 1.37640i
5252 0.173648 0.984808i 0.0240807 0.136568i
5353 −1.74510 −0.239708 −0.119854 0.992792i 0.538243π-0.538243\pi
−0.119854 + 0.992792i 0.538243π0.538243\pi
5454 5.19413 0.145116i 0.706831 0.0197477i
5555 0.772408 0.104151
5656 −0.00648489 + 0.0367776i −0.000866580 + 0.00491462i
5757 −2.07461 + 1.39233i −0.274788 + 0.184419i
5858 −3.91142 1.42364i −0.513595 0.186933i
5959 −6.81878 + 5.72164i −0.887730 + 0.744894i −0.967753 0.251899i 0.918945π-0.918945\pi
0.0800237 + 0.996793i 0.474500π0.474500\pi
6060 −0.829187 0.0891008i −0.107048 0.0115029i
6161 9.25156 3.36729i 1.18454 0.431138i 0.326737 0.945115i 0.394051π-0.394051\pi
0.857804 + 0.513978i 0.171829π0.171829\pi
6262 −4.36191 + 7.55505i −0.553963 + 0.959492i
6363 −0.0947339 0.0598107i −0.0119354 0.00753544i
6464 −0.500000 0.866025i −0.0625000 0.108253i
6565 −0.368840 0.309494i −0.0457490 0.0383880i
6666 −2.69760 + 0.665928i −0.332051 + 0.0819701i
6767 0.0256044 + 0.145210i 0.00312808 + 0.0177402i 0.986332 0.164771i 0.0526885π-0.0526885\pi
−0.983204 + 0.182511i 0.941577π0.941577\pi
6868 0.987712 + 5.60159i 0.119778 + 0.679293i
6969 −10.2352 10.6483i −1.23217 1.28191i
7070 0.0137743 + 0.0115580i 0.00164635 + 0.00138145i
7171 0.488931 + 0.846853i 0.0580254 + 0.100503i 0.893579 0.448906i 0.148186π-0.148186\pi
−0.835554 + 0.549409i 0.814853π0.814853\pi
7272 2.97271 0.403700i 0.350338 0.0475765i
7373 −1.32294 + 2.29141i −0.154839 + 0.268189i −0.933000 0.359875i 0.882819π-0.882819\pi
0.778161 + 0.628064i 0.216153π0.216153\pi
7474 −6.03484 + 2.19650i −0.701536 + 0.255338i
7575 4.86987 6.67013i 0.562324 0.770201i
7676 −1.10503 + 0.927234i −0.126756 + 0.106361i
7777 0.0562963 + 0.0204902i 0.00641556 + 0.00233507i
7878 1.55499 + 0.762899i 0.176068 + 0.0863813i
7979 2.40733 13.6527i 0.270846 1.53604i −0.481010 0.876715i 0.659730π-0.659730\pi
0.751856 0.659328i 0.229159π-0.229159\pi
8080 −0.481487 −0.0538319
8181 −2.25842 + 8.71203i −0.250936 + 0.968004i
8282 1.75505 0.193812
8383 1.13955 6.46269i 0.125081 0.709372i −0.856178 0.516681i 0.827167π-0.827167\pi
0.981259 0.192691i 0.0617216π-0.0617216\pi
8484 −0.0580710 0.0284904i −0.00633606 0.00310856i
8585 2.57354 + 0.936691i 0.279139 + 0.101598i
8686 −9.34743 + 7.84342i −1.00796 + 0.845778i
8787 4.25123 5.82280i 0.455780 0.624269i
8888 −1.50747 + 0.548673i −0.160696 + 0.0584887i
8989 −0.176290 + 0.305343i −0.0186867 + 0.0323663i −0.875218 0.483730i 0.839282π-0.839282\pi
0.856531 + 0.516096i 0.172615π0.172615\pi
9090 0.547327 1.33675i 0.0576933 0.140906i
9191 −0.0186725 0.0323417i −0.00195741 0.00339033i
9292 −6.53231 5.48126i −0.681041 0.571461i
9393 −10.4711 10.8937i −1.08580 1.12962i
9494 1.89304 + 10.7360i 0.195252 + 1.10733i
9595 0.120608 + 0.684003i 0.0123741 + 0.0701772i
9696 1.68157 0.415112i 0.171625 0.0423672i
9797 14.4735 + 12.1447i 1.46956 + 1.23310i 0.916545 + 0.399932i 0.130966π0.130966\pi
0.553012 + 0.833173i 0.313478π0.313478\pi
9898 −3.49930 6.06097i −0.353483 0.612250i
9999 0.190323 4.80887i 0.0191282 0.483310i
100100 2.38409 4.12936i 0.238409 0.412936i
101101 −7.72979 + 2.81341i −0.769143 + 0.279945i −0.696638 0.717423i 0.745322π-0.745322\pi
−0.0725050 + 0.997368i 0.523099π0.523099\pi
102102 −9.79552 1.05258i −0.969901 0.104221i
103103 10.3497 8.68447i 1.01979 0.855706i 0.0301893 0.999544i 0.490389π-0.490389\pi
0.989601 + 0.143838i 0.0459445π0.0459445\pi
104104 0.939693 + 0.342020i 0.0921444 + 0.0335378i
105105 −0.0258602 + 0.0173555i −0.00252369 + 0.00169373i
106106 0.303034 1.71859i 0.0294332 0.166924i
107107 −15.8582 −1.53307 −0.766535 0.642203i 0.778021π-0.778021\pi
−0.766535 + 0.642203i 0.778021π0.778021\pi
108108 −0.759039 + 5.14041i −0.0730386 + 0.494637i
109109 −6.99918 −0.670400 −0.335200 0.942147i 0.608804π-0.608804\pi
−0.335200 + 0.942147i 0.608804π0.608804\pi
110110 −0.134127 + 0.760673i −0.0127885 + 0.0725273i
111111 −0.750131 11.0982i −0.0711993 1.05339i
112112 −0.0350928 0.0127727i −0.00331596 0.00120691i
113113 9.32724 7.82649i 0.877433 0.736254i −0.0882165 0.996101i 0.528117π-0.528117\pi
0.965650 + 0.259847i 0.0836723π0.0836723\pi
114114 −1.01093 2.28487i −0.0946821 0.213997i
115115 −3.85819 + 1.40427i −0.359778 + 0.130948i
116116 2.08122 3.60479i 0.193237 0.334696i
117117 −2.01774 + 2.22008i −0.186540 + 0.205246i
118118 −4.45064 7.70874i −0.409715 0.709647i
119119 0.162722 + 0.136540i 0.0149167 + 0.0125166i
120120 0.231734 0.801117i 0.0211543 0.0731317i
121121 −1.46325 8.29848i −0.133022 0.754408i
122122 1.70962 + 9.69573i 0.154782 + 0.877810i
123123 −0.844682 + 2.92011i −0.0761624 + 0.263298i
124124 −6.68283 5.60756i −0.600136 0.503574i
125125 −2.35162 4.07313i −0.210336 0.364312i
126126 0.0753524 0.0829087i 0.00671292 0.00738609i
127127 −7.84671 + 13.5909i −0.696283 + 1.20600i 0.273464 + 0.961882i 0.411831π0.411831\pi
−0.969746 + 0.244115i 0.921503π0.921503\pi
128128 0.939693 0.342020i 0.0830579 0.0302306i
129129 −8.55139 19.3276i −0.752908 1.70170i
130130 0.368840 0.309494i 0.0323494 0.0271444i
131131 7.80836 + 2.84201i 0.682220 + 0.248308i 0.659800 0.751441i 0.270641π-0.270641\pi
0.0224193 + 0.999749i 0.492863π0.492863\pi
132132 −0.187378 2.77225i −0.0163092 0.241294i
133133 −0.00935458 + 0.0530525i −0.000811145 + 0.00460023i
134134 −0.147450 −0.0127377
135135 1.96072 + 1.55403i 0.168752 + 0.133749i
136136 −5.68801 −0.487742
137137 0.391707 2.22148i 0.0334658 0.189794i −0.963492 0.267737i 0.913724π-0.913724\pi
0.996958 + 0.0779431i 0.0248352π0.0248352\pi
138138 12.2639 8.23065i 1.04397 0.700640i
139139 −6.84838 2.49260i −0.580872 0.211420i 0.0348382 0.999393i 0.488908π-0.488908\pi
−0.615710 + 0.787973i 0.711131π0.711131\pi
140140 −0.0137743 + 0.0115580i −0.00116414 + 0.000976833i
141141 −18.7740 2.01738i −1.58106 0.169894i
142142 −0.918889 + 0.334448i −0.0771114 + 0.0280663i
143143 0.802106 1.38929i 0.0670755 0.116178i
144144 −0.118640 + 2.99765i −0.00988664 + 0.249804i
145145 −1.00208 1.73566i −0.0832184 0.144138i
146146 −2.02687 1.70074i −0.167745 0.140755i
147147 11.7687 2.90521i 0.970662 0.239617i
148148 −1.11519 6.32457i −0.0916683 0.519877i
149149 2.29272 + 13.0027i 0.187827 + 1.06522i 0.922269 + 0.386549i 0.126333π0.126333\pi
−0.734442 + 0.678672i 0.762556π0.762556\pi
150150 5.72316 + 5.95414i 0.467294 + 0.486154i
151151 10.3685 + 8.70020i 0.843776 + 0.708012i 0.958410 0.285396i 0.0921251π-0.0921251\pi
−0.114634 + 0.993408i 0.536570π0.536570\pi
152152 −0.721260 1.24926i −0.0585019 0.101328i
153153 6.46580 15.7916i 0.522729 1.27667i
154154 −0.0299546 + 0.0518830i −0.00241381 + 0.00418085i
155155 −3.94709 + 1.43662i −0.317038 + 0.115392i
156156 −1.02133 + 1.39889i −0.0817718 + 0.112001i
157157 1.04089 0.873409i 0.0830719 0.0697056i −0.600306 0.799770i 0.704955π-0.704955\pi
0.683378 + 0.730065i 0.260510π0.260510\pi
158158 13.0272 + 4.74152i 1.03639 + 0.377215i
159159 2.71361 + 1.33134i 0.215203 + 0.105582i
160160 0.0836093 0.474172i 0.00660990 0.0374866i
161161 −0.318453 −0.0250976
162162 −8.18751 3.73694i −0.643271 0.293602i
163163 20.6396 1.61662 0.808308 0.588760i 0.200384π-0.200384\pi
0.808308 + 0.588760i 0.200384π0.200384\pi
164164 −0.304760 + 1.72838i −0.0237978 + 0.134964i
165165 −1.20108 0.589269i −0.0935043 0.0458745i
166166 6.16663 + 2.24447i 0.478623 + 0.174205i
167167 −15.7874 + 13.2472i −1.22166 + 1.02510i −0.222928 + 0.974835i 0.571561π0.571561\pi
−0.998736 + 0.0502624i 0.983994π0.983994\pi
168168 0.0381415 0.0522414i 0.00294268 0.00403051i
169169 −0.939693 + 0.342020i −0.0722840 + 0.0263092i
170170 −1.36935 + 2.37178i −0.105024 + 0.181908i
171171 4.28820 0.582345i 0.327927 0.0445330i
172172 −6.10110 10.5674i −0.465205 0.805758i
173173 −4.79667 4.02488i −0.364684 0.306006i 0.441970 0.897030i 0.354280π-0.354280\pi
−0.806654 + 0.591023i 0.798724π0.798724\pi
174174 4.99612 + 5.19776i 0.378755 + 0.394041i
175175 −0.0309211 0.175362i −0.00233741 0.0132561i
176176 −0.278569 1.57984i −0.0209979 0.119085i
177177 14.9681 3.69503i 1.12507 0.277736i
178178 −0.270092 0.226634i −0.0202442 0.0169869i
179179 −12.3294 21.3551i −0.921540 1.59615i −0.797033 0.603936i 0.793598π-0.793598\pi
−0.124507 0.992219i 0.539735π-0.539735\pi
180180 1.22140 + 0.771136i 0.0910378 + 0.0574771i
181181 −3.53195 + 6.11751i −0.262528 + 0.454711i −0.966913 0.255107i 0.917889π-0.917889\pi
0.704385 + 0.709818i 0.251223π0.251223\pi
182182 0.0350928 0.0127727i 0.00260125 0.000946778i
183183 −16.9550 1.82191i −1.25335 0.134679i
184184 6.53231 5.48126i 0.481568 0.404084i
185185 −2.90570 1.05759i −0.213631 0.0777553i
186186 12.5465 8.42031i 0.919950 0.617407i
187187 −1.58450 + 8.98615i −0.115870 + 0.657132i
188188 −10.9016 −0.795080
189189 0.101681 + 0.165277i 0.00739617 + 0.0120221i
190190 −0.694554 −0.0503883
191191 2.20776 12.5208i 0.159748 0.905976i −0.794567 0.607176i 0.792302π-0.792302\pi
0.954316 0.298801i 0.0965865π-0.0965865\pi
192192 0.116804 + 1.72811i 0.00842960 + 0.124715i
193193 −15.1561 5.51635i −1.09096 0.397076i −0.266982 0.963702i 0.586026π-0.586026\pi
−0.823975 + 0.566626i 0.808248π0.808248\pi
194194 −14.4735 + 12.1447i −1.03913 + 0.871937i
195195 0.337430 + 0.762647i 0.0241638 + 0.0546143i
196196 6.57654 2.39366i 0.469753 0.170976i
197197 5.42715 9.40010i 0.386669 0.669730i −0.605331 0.795974i 0.706959π-0.706959\pi
0.991999 + 0.126245i 0.0402924π0.0402924\pi
198198 4.70277 + 1.02248i 0.334211 + 0.0726648i
199199 −7.03545 12.1858i −0.498730 0.863826i 0.501269 0.865291i 0.332867π-0.332867\pi
−0.999999 + 0.00146596i 0.999533π0.999533\pi
200200 3.65263 + 3.06492i 0.258280 + 0.216723i
201201 0.0709659 0.245333i 0.00500555 0.0173045i
202202 −1.42841 8.10090i −0.100502 0.569977i
203203 −0.0269930 0.153085i −0.00189454 0.0107445i
204204 2.73757 9.46393i 0.191668 0.662608i
205205 0.647332 + 0.543176i 0.0452116 + 0.0379370i
206206 6.75532 + 11.7005i 0.470665 + 0.815216i
207207 7.79204 + 24.3664i 0.541584 + 1.69358i
208208 −0.500000 + 0.866025i −0.0346688 + 0.0600481i
209209 −2.17455 + 0.791472i −0.150417 + 0.0547472i
210210 −0.0126013 0.0284810i −0.000869573 0.00196538i
211211 −2.04007 + 1.71183i −0.140444 + 0.117847i −0.710303 0.703896i 0.751442π-0.751442\pi
0.569859 + 0.821743i 0.306998π0.306998\pi
212212 1.63986 + 0.596860i 0.112626 + 0.0409925i
213213 −0.114218 1.68985i −0.00782609 0.115787i
214214 2.75375 15.6173i 0.188242 1.06757i
215215 −5.87520 −0.400685
216216 −4.93051 1.64013i −0.335479 0.111597i
217217 −0.325791 −0.0221161
218218 1.21539 6.89284i 0.0823169 0.466842i
219219 3.80527 2.55384i 0.257137 0.172572i
220220 −0.725826 0.264179i −0.0489352 0.0178109i
221221 4.35727 3.65618i 0.293101 0.245941i
222222 11.0598 + 1.18844i 0.742285 + 0.0797628i
223223 22.8775 8.32674i 1.53199 0.557600i 0.567885 0.823108i 0.307762π-0.307762\pi
0.964109 + 0.265508i 0.0855397π0.0855397\pi
224224 0.0186725 0.0323417i 0.00124761 0.00216092i
225225 −12.6612 + 6.65675i −0.844082 + 0.443784i
226226 6.08793 + 10.5446i 0.404963 + 0.701416i
227227 20.1143 + 16.8779i 1.33503 + 1.12022i 0.982873 + 0.184285i 0.0589969π0.0589969\pi
0.352159 + 0.935940i 0.385448π0.385448\pi
228228 2.42570 0.598807i 0.160646 0.0396570i
229229 −1.47265 8.35183i −0.0973157 0.551905i −0.994013 0.109261i 0.965152π-0.965152\pi
0.896697 0.442644i 0.145959π-0.145959\pi
230230 −0.712964 4.04342i −0.0470115 0.266615i
231231 −0.0719081 0.0748104i −0.00473121 0.00492216i
232232 3.18862 + 2.67557i 0.209343 + 0.175660i
233233 11.8242 + 20.4800i 0.774626 + 1.34169i 0.935004 + 0.354637i 0.115395π0.115395\pi
−0.160378 + 0.987056i 0.551271π0.551271\pi
234234 −1.83597 2.37260i −0.120021 0.155101i
235235 −2.62449 + 4.54575i −0.171203 + 0.296532i
236236 8.36447 3.04442i 0.544481 0.198175i
237237 −14.1590 + 19.3931i −0.919723 + 1.25972i
238238 −0.162722 + 0.136540i −0.0105477 + 0.00885057i
239239 19.4005 + 7.06121i 1.25492 + 0.456752i 0.882060 0.471137i 0.156156π-0.156156\pi
0.372856 + 0.927889i 0.378379π0.378379\pi
240240 0.748706 + 0.367326i 0.0483288 + 0.0237108i
241241 −1.76688 + 10.0205i −0.113814 + 0.645474i 0.873516 + 0.486796i 0.161834π0.161834\pi
−0.987330 + 0.158678i 0.949277π0.949277\pi
242242 8.42650 0.541676
243243 10.1582 11.8242i 0.651650 0.758520i
244244 −9.84530 −0.630281
245245 0.585149 3.31854i 0.0373838 0.212014i
246246 −2.72907 1.33892i −0.173999 0.0853665i
247247 1.35552 + 0.493371i 0.0862500 + 0.0313924i
248248 6.68283 5.60756i 0.424360 0.356081i
249249 −6.70236 + 9.18004i −0.424745 + 0.581762i
250250 4.41961 1.60861i 0.279520 0.101737i
251251 4.42487 7.66411i 0.279296 0.483754i −0.691914 0.721980i 0.743232π-0.743232\pi
0.971210 + 0.238226i 0.0765657π0.0765657\pi
252252 0.0685643 + 0.0886046i 0.00431915 + 0.00558156i
253253 −6.83982 11.8469i −0.430016 0.744810i
254254 −12.0219 10.0875i −0.754318 0.632948i
255255 −3.28722 3.41989i −0.205854 0.214162i
256256 0.173648 + 0.984808i 0.0108530 + 0.0615505i
257257 −0.413462 2.34486i −0.0257910 0.146268i 0.969193 0.246303i 0.0792158π-0.0792158\pi
−0.994984 + 0.100035i 0.968105π0.968105\pi
258258 20.5189 5.06528i 1.27745 0.315351i
259259 −0.183724 0.154163i −0.0114161 0.00957921i
260260 0.240744 + 0.416980i 0.0149303 + 0.0258600i
261261 −11.0528 + 5.81112i −0.684152 + 0.359699i
262262 −4.15474 + 7.19622i −0.256681 + 0.444584i
263263 −8.65958 + 3.15183i −0.533972 + 0.194350i −0.594911 0.803791i 0.702813π-0.702813\pi
0.0609388 + 0.998142i 0.480591π0.480591\pi
264264 2.76267 + 0.296865i 0.170031 + 0.0182708i
265265 0.643664 0.540099i 0.0395400 0.0331780i
266266 −0.0506221 0.0184249i −0.00310384 0.00112970i
267267 0.507074 0.340313i 0.0310324 0.0208268i
268268 0.0256044 0.145210i 0.00156404 0.00887010i
269269 −15.7633 −0.961106 −0.480553 0.876966i 0.659564π-0.659564\pi
−0.480553 + 0.876966i 0.659564π0.659564\pi
270270 −1.87089 + 1.66107i −0.113859 + 0.101090i
271271 −15.9114 −0.966550 −0.483275 0.875469i 0.660553π-0.660553\pi
−0.483275 + 0.875469i 0.660553π0.660553\pi
272272 0.987712 5.60159i 0.0598888 0.339646i
273273 0.00436204 + 0.0645362i 0.000264003 + 0.00390591i
274274 2.11971 + 0.771513i 0.128057 + 0.0466088i
275275 5.85960 4.91678i 0.353347 0.296493i
276276 5.97602 + 13.5068i 0.359714 + 0.813013i
277277 −17.9884 + 6.54724i −1.08082 + 0.393385i −0.820212 0.572060i 0.806144π-0.806144\pi
−0.260606 + 0.965445i 0.583922π0.583922\pi
278278 3.64394 6.31150i 0.218549 0.378538i
279279 7.97159 + 24.9279i 0.477247 + 1.49239i
280280 −0.00899056 0.0155721i −0.000537289 0.000930612i
281281 −6.26440 5.25646i −0.373703 0.313574i 0.436522 0.899694i 0.356210π-0.356210\pi
−0.810224 + 0.586120i 0.800655π0.800655\pi
282282 5.24680 18.1385i 0.312443 1.08013i
283283 1.31422 + 7.45334i 0.0781226 + 0.443055i 0.998630 + 0.0523297i 0.0166647π0.0166647\pi
−0.920507 + 0.390725i 0.872224π0.872224\pi
284284 −0.169804 0.963005i −0.0100760 0.0571438i
285285 0.334281 1.15563i 0.0198011 0.0684534i
286286 1.22890 + 1.03117i 0.0726663 + 0.0609742i
287287 0.0327711 + 0.0567612i 0.00193442 + 0.00335051i
288288 −2.93151 0.637374i −0.172741 0.0375576i
289289 −7.67671 + 13.2964i −0.451571 + 0.782144i
290290 1.88330 0.685465i 0.110591 0.0402519i
291291 −13.2409 29.9266i −0.776195 1.75433i
292292 2.02687 1.70074i 0.118614 0.0995286i
293293 5.62704 + 2.04808i 0.328735 + 0.119650i 0.501115 0.865381i 0.332923π-0.332923\pi
−0.172380 + 0.985031i 0.555146π0.555146\pi
294294 0.817465 + 12.0943i 0.0476755 + 0.705357i
295295 0.744231 4.22074i 0.0433308 0.245741i
296296 6.42214 0.373279
297297 −3.96463 + 7.33254i −0.230051 + 0.425477i
298298 −13.2033 −0.764844
299299 −1.48075 + 8.39778i −0.0856343 + 0.485656i
300300 −6.85750 + 4.60228i −0.395918 + 0.265713i
301301 −0.428209 0.155855i −0.0246816 0.00898336i
302302 −10.3685 + 8.70020i −0.596640 + 0.500640i
303303 14.1661 + 1.52222i 0.813820 + 0.0874495i
304304 1.35552 0.493371i 0.0777447 0.0282968i
305305 −2.37019 + 4.10529i −0.135717 + 0.235068i
306306 14.4289 + 9.10975i 0.824845 + 0.520770i
307307 −4.56552 7.90771i −0.260568 0.451317i 0.705825 0.708386i 0.250576π-0.250576\pi
−0.966393 + 0.257069i 0.917243π0.917243\pi
308308 −0.0458932 0.0385090i −0.00261501 0.00219425i
309309 −22.7191 + 5.60843i −1.29244 + 0.319052i
310310 −0.729393 4.13659i −0.0414267 0.234943i
311311 −0.00301328 0.0170892i −0.000170867 0.000969037i 0.984722 0.174133i 0.0557122π-0.0557122\pi
−0.984893 + 0.173164i 0.944601π0.944601\pi
312312 −1.20028 1.24873i −0.0679527 0.0706953i
313313 −2.13352 1.79024i −0.120594 0.101190i 0.580496 0.814263i 0.302859π-0.302859\pi
−0.701090 + 0.713073i 0.747303π0.747303\pi
314314 0.679391 + 1.17674i 0.0383403 + 0.0664073i
315315 0.0534527 0.00725898i 0.00301172 0.000408997i
316316 −6.93163 + 12.0059i −0.389935 + 0.675387i
317317 16.9768 6.17905i 0.953513 0.347050i 0.182025 0.983294i 0.441735π-0.441735\pi
0.771488 + 0.636244i 0.219513π0.219513\pi
318318 −1.78232 + 2.44120i −0.0999478 + 0.136896i
319319 5.11522 4.29218i 0.286398 0.240316i
320320 0.452450 + 0.164678i 0.0252927 + 0.00920579i
321321 24.6593 + 12.0982i 1.37635 + 0.675256i
322322 0.0552988 0.313615i 0.00308168 0.0174771i
323323 −8.20506 −0.456542
324324 5.10191 7.41421i 0.283440 0.411900i
325325 −4.76817 −0.264490
326326 −3.58402 + 20.3260i −0.198501 + 1.12575i
327327 10.8836 + 5.33966i 0.601866 + 0.295284i
328328 −1.64920 0.600261i −0.0910620 0.0331439i
329329 −0.311872 + 0.261692i −0.0171941 + 0.0144275i
330330 0.788882 1.08051i 0.0434265 0.0594802i
331331 −24.9383 + 9.07682i −1.37074 + 0.498907i −0.919356 0.393426i 0.871290π-0.871290\pi
−0.451379 + 0.892332i 0.649068π0.649068\pi
332332 −3.28119 + 5.68319i −0.180079 + 0.311906i
333333 −7.30032 + 17.8298i −0.400055 + 0.977065i
334334 −10.3045 17.8479i −0.563836 0.976592i
335335 −0.0543855 0.0456349i −0.00297140 0.00249330i
336336 0.0448246 + 0.0466337i 0.00244538 + 0.00254408i
337337 0.761421 + 4.31823i 0.0414772 + 0.235229i 0.998498 0.0547908i 0.0174492π-0.0174492\pi
−0.957021 + 0.290020i 0.906338π0.906338\pi
338338 −0.173648 0.984808i −0.00944522 0.0535665i
339339 −20.4746 + 5.05434i −1.11203 + 0.274514i
340340 −2.09797 1.76040i −0.113778 0.0954713i
341341 −6.99743 12.1199i −0.378932 0.656330i
342342 −0.171140 + 4.32417i −0.00925419 + 0.233824i
343343 0.261389 0.452739i 0.0141137 0.0244456i
344344 11.4663 4.17340i 0.618222 0.225015i
345345 7.07075 + 0.759791i 0.380676 + 0.0409058i
346346 4.79667 4.02488i 0.257871 0.216379i
347347 −2.56597 0.933936i −0.137748 0.0501363i 0.272226 0.962233i 0.412240π-0.412240\pi
−0.409974 + 0.912097i 0.634462π0.634462\pi
348348 −5.98636 + 4.01763i −0.320903 + 0.215368i
349349 −5.69363 + 32.2902i −0.304773 + 1.72845i 0.319798 + 0.947486i 0.396385π0.396385\pi
−0.624571 + 0.780968i 0.714726π0.714726\pi
350350 0.178067 0.00951810
351351 4.83125 1.91286i 0.257873 0.102101i
352352 1.60421 0.0855048
353353 0.909765 5.15953i 0.0484219 0.274614i −0.950978 0.309259i 0.899919π-0.899919\pi
0.999400 + 0.0346450i 0.0110300π0.0110300\pi
354354 1.03971 + 15.3824i 0.0552597 + 0.817564i
355355 −0.442433 0.161032i −0.0234819 0.00854672i
356356 0.270092 0.226634i 0.0143148 0.0120116i
357357 −0.148864 0.336458i −0.00787874 0.0178073i
358358 23.1716 8.43378i 1.22466 0.445739i
359359 −17.2269 + 29.8378i −0.909199 + 1.57478i −0.0940201 + 0.995570i 0.529972π0.529972\pi
−0.815179 + 0.579209i 0.803362π0.803362\pi
360360 −0.971514 + 1.06894i −0.0512033 + 0.0563380i
361361 8.45957 + 14.6524i 0.445240 + 0.771179i
362362 −5.41126 4.54058i −0.284409 0.238648i
363363 −4.05557 + 14.0203i −0.212862 + 0.735877i
364364 0.00648489 + 0.0367776i 0.000339901 + 0.00192767i
365365 −0.221221 1.25461i −0.0115792 0.0656691i
366366 4.73842 16.3810i 0.247681 0.856249i
367367 −2.24284 1.88196i −0.117075 0.0982377i 0.582371 0.812923i 0.302125π-0.302125\pi
−0.699446 + 0.714686i 0.746570π0.746570\pi
368368 4.26366 + 7.38488i 0.222259 + 0.384964i
369369 3.54122 3.89633i 0.184349 0.202835i
370370 1.54609 2.67790i 0.0803773 0.139218i
371371 0.0612405 0.0222897i 0.00317945 0.00115723i
372372 6.11372 + 13.8180i 0.316982 + 0.716431i
373373 −4.10872 + 3.44762i −0.212741 + 0.178511i −0.742931 0.669368i 0.766565π-0.766565\pi
0.530190 + 0.847879i 0.322121π0.322121\pi
374374 −8.57448 3.12086i −0.443376 0.161376i
375375 0.549358 + 8.12772i 0.0283687 + 0.419714i
376376 1.89304 10.7360i 0.0976262 0.553666i
377377 −4.16245 −0.214377
378378 −0.180423 + 0.0714357i −0.00927995 + 0.00367426i
379379 −0.557961 −0.0286606 −0.0143303 0.999897i 0.504562π-0.504562\pi
−0.0143303 + 0.999897i 0.504562π0.504562\pi
380380 0.120608 0.684003i 0.00618706 0.0350886i
381381 22.5700 15.1474i 1.15630 0.776026i
382382 11.9472 + 4.34844i 0.611274 + 0.222486i
383383 8.41516 7.06116i 0.429995 0.360808i −0.401955 0.915659i 0.631669π-0.631669\pi
0.831950 + 0.554851i 0.187225π0.187225\pi
384384 −1.72214 0.185053i −0.0878824 0.00944346i
385385 −0.0271059 + 0.00986576i −0.00138145 + 0.000502806i
386386 8.06437 13.9679i 0.410466 0.710947i
387387 −1.44766 + 36.5780i −0.0735889 + 1.85936i
388388 −9.44688 16.3625i −0.479593 0.830679i
389389 −3.22891 2.70937i −0.163712 0.137371i 0.557251 0.830344i 0.311856π-0.311856\pi
−0.720963 + 0.692973i 0.756300π0.756300\pi
390390 −0.809655 + 0.199871i −0.0409985 + 0.0101209i
391391 −8.42254 47.7666i −0.425946 2.41566i
392392 1.21530 + 6.89228i 0.0613817 + 0.348113i
393393 −9.97373 10.3763i −0.503108 0.523414i
394394 8.31488 + 6.97701i 0.418898 + 0.351497i
395395 3.33749 + 5.78070i 0.167927 + 0.290859i
396396 −1.82358 + 4.45377i −0.0916382 + 0.223810i
397397 −8.76730 + 15.1854i −0.440018 + 0.762134i −0.997690 0.0679273i 0.978361π-0.978361\pi
0.557672 + 0.830061i 0.311695π0.311695\pi
398398 13.2223 4.81253i 0.662775 0.241230i
399399 0.0550199 0.0753593i 0.00275444 0.00377268i
400400 −3.65263 + 3.06492i −0.182632 + 0.153246i
401401 31.5815 + 11.4947i 1.57710 + 0.574019i 0.974572 0.224075i 0.0719362π-0.0719362\pi
0.602532 + 0.798094i 0.294158π0.294158\pi
402402 0.229283 + 0.112489i 0.0114356 + 0.00561046i
403403 −1.51488 + 8.59128i −0.0754613 + 0.427962i
404404 8.22587 0.409252
405405 −1.86332 3.91232i −0.0925893 0.194405i
406406 0.155447 0.00771468
407407 1.78901 10.1460i 0.0886778 0.502917i
408408 8.84478 + 4.33937i 0.437882 + 0.214831i
409409 10.7728 + 3.92096i 0.532679 + 0.193879i 0.594334 0.804218i 0.297416π-0.297416\pi
−0.0616553 + 0.998098i 0.519638π0.519638\pi
410410 −0.647332 + 0.543176i −0.0319694 + 0.0268255i
411411 −2.30387 + 3.15554i −0.113641 + 0.155652i
412412 −12.6958 + 4.62091i −0.625479 + 0.227656i
413413 0.166209 0.287883i 0.00817862 0.0141658i
414414 −25.3493 + 3.44248i −1.24585 + 0.169189i
415415 1.57985 + 2.73638i 0.0775519 + 0.134324i
416416 −0.766044 0.642788i −0.0375584 0.0315153i
417417 8.74753 + 9.10059i 0.428369 + 0.445658i
418418 −0.401841 2.27895i −0.0196547 0.111467i
419419 1.01044 + 5.73047i 0.0493631 + 0.279952i 0.999491 0.0319092i 0.0101587π-0.0101587\pi
−0.950128 + 0.311861i 0.899048π0.899048\pi
420420 0.0302365 0.00746419i 0.00147539 0.000364215i
421421 −17.8740 14.9980i −0.871123 0.730959i 0.0932112 0.995646i 0.470287π-0.470287\pi
−0.964334 + 0.264687i 0.914731π0.914731\pi
422422 −1.33156 2.30634i −0.0648195 0.112271i
423423 27.6543 + 17.4597i 1.34460 + 0.848919i
424424 −0.872551 + 1.51130i −0.0423748 + 0.0733954i
425425 25.4858 9.27606i 1.23624 0.449955i
426426 1.68401 + 0.180956i 0.0815906 + 0.00876737i
427427 −0.281654 + 0.236335i −0.0136302 + 0.0114371i
428428 14.9018 + 5.42382i 0.720307 + 0.262170i
429429 −2.30715 + 1.54840i −0.111390 + 0.0747575i
430430 1.02022 5.78594i 0.0491993 0.279023i
431431 11.9642 0.576295 0.288148 0.957586i 0.406961π-0.406961\pi
0.288148 + 0.957586i 0.406961π0.406961\pi
432432 2.47139 4.57080i 0.118905 0.219913i
433433 17.8832 0.859414 0.429707 0.902968i 0.358617π-0.358617\pi
0.429707 + 0.902968i 0.358617π0.358617\pi
434434 0.0565730 0.320841i 0.00271559 0.0154009i
435435 0.234094 + 3.46341i 0.0112240 + 0.166058i
436436 6.57707 + 2.39386i 0.314985 + 0.114645i
437437 9.42299 7.90682i 0.450763 0.378235i
438438 1.85426 + 4.19093i 0.0885999 + 0.200250i
439439 −7.21436 + 2.62581i −0.344323 + 0.125323i −0.508392 0.861126i 0.669760π-0.669760\pi
0.164070 + 0.986449i 0.447538π0.447538\pi
440440 0.386204 0.668925i 0.0184115 0.0318897i
441441 −20.5165 4.46073i −0.976975 0.212416i
442442 2.84400 + 4.92596i 0.135275 + 0.234304i
443443 23.4632 + 19.6880i 1.11477 + 0.935405i 0.998329 0.0577926i 0.0184062π-0.0184062\pi
0.116443 + 0.993197i 0.462851π0.462851\pi
444444 −3.09090 + 10.6854i −0.146688 + 0.507107i
445445 −0.0294789 0.167183i −0.00139744 0.00792525i
446446 4.22760 + 23.9759i 0.200183 + 1.13529i
447447 6.35457 21.9681i 0.300561 1.03906i
448448 0.0286079 + 0.0240049i 0.00135160 + 0.00113412i
449449 −19.3567 33.5268i −0.913500 1.58223i −0.809083 0.587695i 0.800035π-0.800035\pi
−0.104418 0.994534i 0.533298π-0.533298\pi
450450 −4.35703 13.6248i −0.205392 0.642280i
451451 −1.40773 + 2.43826i −0.0662875 + 0.114813i
452452 −11.4416 + 4.16439i −0.538166 + 0.195876i
453453 −9.48550 21.4388i −0.445668 1.00728i
454454 −20.1143 + 16.8779i −0.944010 + 0.792119i
455455 0.0168967 + 0.00614991i 0.000792131 + 0.000288312i
456456 0.168492 + 2.49283i 0.00789036 + 0.116737i
457457 0.713370 4.04572i 0.0333700 0.189251i −0.963566 0.267470i 0.913812π-0.913812\pi
0.996936 + 0.0782193i 0.0249234π0.0249234\pi
458458 8.48067 0.396276
459459 −22.1016 + 19.6230i −1.03162 + 0.915922i
460460 4.10580 0.191434
461461 1.73568 9.84353i 0.0808386 0.458459i −0.917339 0.398108i 0.869667π-0.869667\pi
0.998177 0.0603508i 0.0192219π-0.0192219\pi
462462 0.0861606 0.0578250i 0.00400855 0.00269026i
463463 −6.00349 2.18509i −0.279006 0.101550i 0.198727 0.980055i 0.436319π-0.436319\pi
−0.477733 + 0.878505i 0.658541π0.658541\pi
464464 −3.18862 + 2.67557i −0.148028 + 0.124210i
465465 7.23367 + 0.777299i 0.335454 + 0.0360464i
466466 −22.2222 + 8.08820i −1.02942 + 0.374679i
467467 2.59290 4.49103i 0.119985 0.207820i −0.799777 0.600298i 0.795049π-0.795049\pi
0.919761 + 0.392478i 0.128382π0.128382\pi
468468 2.65536 1.39608i 0.122744 0.0645339i
469469 −0.00275326 0.00476878i −0.000127134 0.000220202i
470470 −4.02095 3.37398i −0.185473 0.155630i
471471 −2.28489 + 0.564047i −0.105282 + 0.0259899i
472472 1.54569 + 8.76606i 0.0711463 + 0.403490i
473473 −3.39915 19.2775i −0.156293 0.886382i
474474 −16.6398 17.3114i −0.764293 0.795141i
475475 5.26899 + 4.42121i 0.241758 + 0.202859i
476476 −0.106209 0.183960i −0.00486809 0.00843178i
477477 −3.20396 4.14042i −0.146699 0.189577i
478478 −10.3228 + 17.8796i −0.472154 + 0.817795i
479479 14.7248 5.35939i 0.672794 0.244877i 0.0170436 0.999855i 0.494575π-0.494575\pi
0.655750 + 0.754978i 0.272352π0.272352\pi
480480 −0.491757 + 0.673546i −0.0224455 + 0.0307430i
481481 −4.91964 + 4.12807i −0.224316 + 0.188224i
482482 −9.56140 3.48007i −0.435510 0.158513i
483483 0.495190 + 0.242947i 0.0225319 + 0.0110545i
484484 −1.46325 + 8.29848i −0.0665112 + 0.377204i
485485 −9.09710 −0.413078
486486 9.88057 + 12.0571i 0.448192 + 0.546923i
487487 36.3603 1.64764 0.823822 0.566848i 0.191837π-0.191837\pi
0.823822 + 0.566848i 0.191837π0.191837\pi
488488 1.70962 9.69573i 0.0773908 0.438905i
489489 −32.0943 15.7459i −1.45135 0.712054i
490490 3.16652 + 1.15252i 0.143049 + 0.0520655i
491491 −1.59611 + 1.33929i −0.0720313 + 0.0604414i −0.678092 0.734977i 0.737193π-0.737193\pi
0.606061 + 0.795418i 0.292749π0.292749\pi
492492 1.79248 2.45511i 0.0808112 0.110685i
493493 22.2482 8.09768i 1.00201 0.364701i
494494 −0.721260 + 1.24926i −0.0324510 + 0.0562068i
495495 1.41812 + 1.83261i 0.0637397 + 0.0823697i
496496 4.36191 + 7.55505i 0.195856 + 0.339232i
497497 −0.0279746 0.0234735i −0.00125483 0.00105293i
498498 −7.87672 8.19463i −0.352964 0.367210i
499499 −2.86197 16.2310i −0.128119 0.726600i −0.979406 0.201900i 0.935288π-0.935288\pi
0.851287 0.524701i 0.175823π-0.175823\pi
500500 0.816710 + 4.63179i 0.0365244 + 0.207140i
501501 34.6554 8.55503i 1.54829 0.382210i
502502 6.77930 + 5.68851i 0.302575 + 0.253891i
503503 5.06194 + 8.76754i 0.225701 + 0.390925i 0.956529 0.291636i 0.0941995π-0.0941995\pi
−0.730829 + 0.682561i 0.760866π0.760866\pi
504504 −0.0991645 + 0.0521367i −0.00441714 + 0.00232235i
505505 1.98032 3.43002i 0.0881233 0.152634i
506506 12.8547 4.67871i 0.571459 0.207994i
507507 1.72214 + 0.185053i 0.0764828 + 0.00821851i
508508 12.0219 10.0875i 0.533384 0.447562i
509509 26.9474 + 9.80805i 1.19442 + 0.434734i 0.861274 0.508141i 0.169667π-0.169667\pi
0.333148 + 0.942875i 0.391889π0.391889\pi
510510 3.93875 2.64342i 0.174411 0.117053i
511511 0.0171583 0.0973095i 0.000759038 0.00430472i
512512 −1.00000 −0.0441942
513513 −7.11236 2.36592i −0.314018 0.104458i
514514 2.38103 0.105023
515515 −1.12961 + 6.40636i −0.0497768 + 0.282298i
516516 1.42527 + 21.0867i 0.0627438 + 0.928291i
517517 −16.4338 5.98141i −0.722757 0.263062i
518518 0.183724 0.154163i 0.00807237 0.00677352i
519519 4.38818 + 9.91802i 0.192620 + 0.435353i
520520 −0.452450 + 0.164678i −0.0198412 + 0.00722162i
521521 2.37684 4.11680i 0.104131 0.180360i −0.809252 0.587462i 0.800127π-0.800127\pi
0.913383 + 0.407102i 0.133461π0.133461\pi
522522 −3.80353 11.8940i −0.166476 0.520586i
523523 −17.0764 29.5773i −0.746701 1.29332i −0.949396 0.314082i 0.898303π-0.898303\pi
0.202695 0.979242i 0.435030π-0.435030\pi
524524 −6.36543 5.34123i −0.278075 0.233333i
525525 −0.0857016 + 0.296275i −0.00374032 + 0.0129305i
526526 −1.60023 9.07533i −0.0697731 0.395703i
527527 −8.61662 48.8673i −0.375346 2.12869i
528528 −0.772088 + 2.66915i −0.0336008 + 0.116160i
529529 38.0841 + 31.9564i 1.65583 + 1.38941i
530530 0.420122 + 0.727673i 0.0182489 + 0.0316081i
531531 −26.0942 5.67345i −1.13239 0.246207i
532532 0.0269354 0.0466535i 0.00116780 0.00202269i
533533 1.64920 0.600261i 0.0714349 0.0260002i
534534 0.247090 + 0.558465i 0.0106926 + 0.0241671i
535535 5.84914 4.90801i 0.252881 0.212192i
536536 0.138558 + 0.0504309i 0.00598478 + 0.00217828i
537537 2.88024 + 42.6130i 0.124291 + 1.83888i
538538 2.73727 15.5238i 0.118012 0.669280i
539539 11.2273 0.483592
540540 −1.31096 2.13091i −0.0564148 0.0916998i
541541 −1.44184 −0.0619896 −0.0309948 0.999520i 0.509868π-0.509868\pi
−0.0309948 + 0.999520i 0.509868π0.509868\pi
542542 2.76299 15.6697i 0.118681 0.673071i
543543 10.1592 6.81813i 0.435972 0.292594i
544544 5.34498 + 1.94541i 0.229164 + 0.0834089i
545545 2.58158 2.16620i 0.110583 0.0927899i
546546 −0.0643132 0.00691081i −0.00275235 0.000295756i
547547 8.95865 3.26068i 0.383044 0.139417i −0.143319 0.989677i 0.545777π-0.545777\pi
0.526363 + 0.850260i 0.323555π0.323555\pi
548548 −1.12788 + 1.95354i −0.0481805 + 0.0834510i
549549 24.9748 + 15.7680i 1.06590 + 0.672960i
550550 3.82458 + 6.62437i 0.163081 + 0.282464i
551551 4.59965 + 3.85956i 0.195952 + 0.164423i
552552 −14.3393 + 3.53980i −0.610322 + 0.150664i
553553 0.0899017 + 0.509858i 0.00382301 + 0.0216814i
554554 −3.32412 18.8520i −0.141228 0.800945i
555555 3.71149 + 3.86129i 0.157544 + 0.163902i
556556 5.58285 + 4.68456i 0.236765 + 0.198670i
557557 −16.4525 28.4965i −0.697113 1.20744i −0.969463 0.245237i 0.921134π-0.921134\pi
0.272350 0.962198i 0.412199π-0.412199\pi
558558 −25.9334 + 3.52180i −1.09785 + 0.149090i
559559 −6.10110 + 10.5674i −0.258049 + 0.446954i
560560 0.0168967 0.00614991i 0.000714017 0.000259881i
561561 9.31940 12.7645i 0.393465 0.538919i
562562 6.26440 5.25646i 0.264248 0.221730i
563563 −29.2277 10.6380i −1.23180 0.448339i −0.357587 0.933880i 0.616400π-0.616400\pi
−0.874214 + 0.485541i 0.838623π0.838623\pi
564564 16.9518 + 8.31681i 0.713801 + 0.350201i
565565 −1.01801 + 5.77345i −0.0428282 + 0.242891i
566566 −7.56832 −0.318120
567567 −0.0320222 0.334576i −0.00134481 0.0140509i
568568 0.977861 0.0410301
569569 0.753201 4.27161i 0.0315758 0.179075i −0.964941 0.262467i 0.915464π-0.915464\pi
0.996517 + 0.0833913i 0.0265751π0.0265751\pi
570570 1.08002 + 0.529875i 0.0452372 + 0.0221940i
571571 −41.3582 15.0532i −1.73079 0.629955i −0.732100 0.681197i 0.761460π-0.761460\pi
−0.998686 + 0.0512421i 0.983682π0.983682\pi
572572 −1.22890 + 1.03117i −0.0513828 + 0.0431153i
573573 −12.9852 + 17.7855i −0.542464 + 0.742998i
574574 −0.0615895 + 0.0224167i −0.00257069 + 0.000935656i
575575 −20.3299 + 35.2124i −0.847814 + 1.46846i
576576 1.13674 2.77630i 0.0473643 0.115679i
577577 −10.6628 18.4685i −0.443899 0.768856i 0.554076 0.832466i 0.313072π-0.313072\pi
−0.997975 + 0.0636106i 0.979738π0.979738\pi
578578 −11.7614 9.86898i −0.489210 0.410496i
579579 19.3591 + 20.1404i 0.804535 + 0.837006i
580580 0.348020 + 1.97372i 0.0144507 + 0.0819541i
581581 0.0425564 + 0.241349i 0.00176554 + 0.0100128i
582582 31.7712 7.84303i 1.31696 0.325104i
583583 2.14455 + 1.79949i 0.0888183 + 0.0745274i
584584 1.32294 + 2.29141i 0.0547438 + 0.0948191i
585585 0.0571235 1.44333i 0.00236176 0.0596744i
586586 −2.99409 + 5.18591i −0.123685 + 0.214228i
587587 −7.17383 + 2.61106i −0.296096 + 0.107770i −0.485797 0.874072i 0.661470π-0.661470\pi
0.189701 + 0.981842i 0.439248π0.439248\pi
588588 −12.0526 1.29512i −0.497039 0.0534096i
589589 9.64012 8.08902i 0.397214 0.333302i
590590 4.02739 + 1.46585i 0.165805 + 0.0603480i
591591 −15.6105 + 10.4767i −0.642129 + 0.430953i
592592 −1.11519 + 6.32457i −0.0458341 + 0.259938i
593593 36.1782 1.48566 0.742831 0.669479i 0.233483π-0.233483\pi
0.742831 + 0.669479i 0.233483π0.233483\pi
594594 −6.53269 5.17768i −0.268040 0.212443i
595595 −0.102277 −0.00419294
596596 2.29272 13.0027i 0.0939135 0.532610i
597597 1.64354 + 24.3160i 0.0672655 + 0.995189i
598598 −8.01307 2.91652i −0.327679 0.119265i
599599 −5.84972 + 4.90850i −0.239013 + 0.200556i −0.754424 0.656387i 0.772084π-0.772084\pi
0.515411 + 0.856943i 0.327639π0.327639\pi
600600 −3.34157 7.55250i −0.136419 0.308330i
601601 −0.447861 + 0.163008i −0.0182686 + 0.00664924i −0.351138 0.936324i 0.614205π-0.614205\pi
0.332870 + 0.942973i 0.391983π0.391983\pi
602602 0.227845 0.394640i 0.00928629 0.0160843i
603603 −0.297515 + 0.327350i −0.0121158 + 0.0133307i
604604 −6.76755 11.7217i −0.275368 0.476951i
605605 3.10803 + 2.60795i 0.126360 + 0.106028i
606606 −3.95901 + 13.6865i −0.160824 + 0.555977i
607607 1.26004 + 7.14603i 0.0511433 + 0.290048i 0.999643 0.0267309i 0.00850971π-0.00850971\pi
−0.948499 + 0.316779i 0.897399π0.897399\pi
608608 0.250491 + 1.42060i 0.0101587 + 0.0576131i
609609 −0.0748145 + 0.258638i −0.00303164 + 0.0104805i
610610 −3.63135 3.04706i −0.147029 0.123372i
611611 5.45080 + 9.44106i 0.220516 + 0.381944i
612612 −11.4769 + 12.6278i −0.463926 + 0.510449i
613613 14.4105 24.9598i 0.582036 1.00812i −0.413201 0.910640i 0.635589π-0.635589\pi
0.995238 0.0974770i 0.0310772π-0.0310772\pi
614614 8.58037 3.12300i 0.346275 0.126034i
615615 −0.592204 1.33848i −0.0238800 0.0539727i
616616 0.0458932 0.0385090i 0.00184909 0.00155157i
617617 16.0605 + 5.84555i 0.646572 + 0.235333i 0.644428 0.764665i 0.277095π-0.277095\pi
0.00214359 + 0.999998i 0.499318π0.499318\pi
618618 −1.57810 23.3478i −0.0634803 0.939187i
619619 2.93858 16.6655i 0.118111 0.669843i −0.867051 0.498219i 0.833987π-0.833987\pi
0.985163 0.171624i 0.0549014π-0.0549014\pi
620620 4.20041 0.168692
621621 6.47258 43.8340i 0.259736 1.75900i
622622 0.0173528 0.000695783
623623 0.00228644 0.0129670i 9.16042e−5 0.000519514i
624624 1.43818 0.965209i 0.0575734 0.0386393i
625625 −20.2751 7.37953i −0.811004 0.295181i
626626 2.13352 1.79024i 0.0852727 0.0715523i
627627 3.98521 + 0.428233i 0.159154 + 0.0171020i
628628 −1.27684 + 0.464731i −0.0509514 + 0.0185448i
629629 18.2646 31.6352i 0.728257 1.26138i
630630 −0.00213327 + 0.0539012i −8.49917e−5 + 0.00214747i
631631 −8.42901 14.5995i −0.335554 0.581196i 0.648037 0.761608i 0.275590π-0.275590\pi
−0.983591 + 0.180413i 0.942257π0.942257\pi
632632 −10.6199 8.91113i −0.422436 0.354466i
633633 4.47824 1.10550i 0.177994 0.0439396i
634634 3.13719 + 17.7919i 0.124594 + 0.706606i
635635 −1.31212 7.44138i −0.0520697 0.295302i
636636 −2.09462 2.17916i −0.0830570 0.0864092i
637637 −5.36124 4.49862i −0.212420 0.178242i
638638 3.33873 + 5.78284i 0.132181 + 0.228945i
639639 −1.11158 + 2.71483i −0.0439733 + 0.107397i
640640 −0.240744 + 0.416980i −0.00951622 + 0.0164826i
641641 −20.4127 + 7.42961i −0.806252 + 0.293452i −0.712075 0.702104i 0.752244π-0.752244\pi
−0.0941775 + 0.995555i 0.530022π0.530022\pi
642642 −16.1964 + 22.1838i −0.639223 + 0.875526i
643643 27.8181 23.3421i 1.09704 0.920523i 0.0998147 0.995006i 0.468175π-0.468175\pi
0.997222 + 0.0744827i 0.0237306π0.0237306\pi
644644 0.299248 + 0.108917i 0.0117920 + 0.00429194i
645645 9.13586 + 4.48218i 0.359724 + 0.176486i
646646 1.42479 8.08041i 0.0560578 0.317919i
647647 2.30387 0.0905745 0.0452873 0.998974i 0.485580π-0.485580\pi
0.0452873 + 0.998974i 0.485580π0.485580\pi
648648 6.41563 + 6.31187i 0.252030 + 0.247954i
649649 14.2796 0.560522
650650 0.827984 4.69573i 0.0324762 0.184182i
651651 0.506601 + 0.248545i 0.0198552 + 0.00974126i
652652 −19.3949 7.05915i −0.759561 0.276458i
653653 −14.4372 + 12.1143i −0.564972 + 0.474068i −0.879973 0.475023i 0.842440π-0.842440\pi
0.315001 + 0.949091i 0.397995π0.397995\pi
654654 −7.14846 + 9.79106i −0.279527 + 0.382861i
655655 −3.75962 + 1.36839i −0.146901 + 0.0534675i
656656 0.877523 1.51991i 0.0342615 0.0593427i
657657 −7.86547 + 1.06814i −0.306861 + 0.0416723i
658658 −0.203560 0.352576i −0.00793559 0.0137449i
659659 −10.1940 8.55376i −0.397101 0.333207i 0.422271 0.906470i 0.361233π-0.361233\pi
−0.819372 + 0.573263i 0.805677π0.805677\pi
660660 0.927108 + 0.964526i 0.0360876 + 0.0375441i
661661 2.89101 + 16.3957i 0.112447 + 0.637719i 0.987983 + 0.154565i 0.0493977π0.0493977\pi
−0.875536 + 0.483154i 0.839491π0.839491\pi
662662 −4.60842 26.1356i −0.179111 1.01579i
663663 −9.56479 + 2.36116i −0.371466 + 0.0916999i
664664 −5.02708 4.21822i −0.195089 0.163699i
665665 −0.0129691 0.0224631i −0.000502919 0.000871081i
666666 −16.2912 10.2855i −0.631271 0.398556i
667667 −17.7473 + 30.7392i −0.687177 + 1.19023i
668668 19.3661 7.04868i 0.749296 0.272721i
669669 −41.9267 4.50527i −1.62098 0.174184i
670670 0.0543855 0.0456349i 0.00210110 0.00176303i
671671 −14.8415 5.40185i −0.572948 0.208536i
672672 −0.0537089 + 0.0360457i −0.00207187 + 0.00139049i
673673 −6.48209 + 36.7617i −0.249866 + 1.41706i 0.559048 + 0.829135i 0.311167π0.311167\pi
−0.808915 + 0.587926i 0.799945π0.799945\pi
674674 −4.38485 −0.168898
675675 24.7665 0.691936i 0.953262 0.0266326i
676676 1.00000 0.0384615
677677 −1.62624 + 9.22286i −0.0625014 + 0.354463i 0.937478 + 0.348045i 0.113154π0.113154\pi
−0.999979 + 0.00641857i 0.997957π0.997957\pi
678678 −1.42219 21.0412i −0.0546188 0.808082i
679679 −0.663035 0.241325i −0.0254450 0.00926121i
680680 2.09797 1.76040i 0.0804534 0.0675084i
681681 −18.4013 41.5901i −0.705141 1.59373i
682682 13.1509 4.78652i 0.503573 0.183285i
683683 −8.41351 + 14.5726i −0.321934 + 0.557606i −0.980887 0.194578i 0.937666π-0.937666\pi
0.658953 + 0.752184i 0.271000π0.271000\pi
684684 −4.22876 0.919425i −0.161691 0.0351551i
685685 0.543058 + 0.940604i 0.0207492 + 0.0359386i
686686 0.400471 + 0.336035i 0.0152901 + 0.0128299i
687687 −4.08165 + 14.1105i −0.155724 + 0.538348i
688688 2.11889 + 12.0168i 0.0807819 + 0.458137i
689689 −0.303034 1.71859i −0.0115447 0.0654731i
690690 −1.97607 + 6.83139i −0.0752277 + 0.260067i
691691 −21.2519 17.8324i −0.808460 0.678378i 0.141780 0.989898i 0.454717π-0.454717\pi
−0.950240 + 0.311520i 0.899162π0.899162\pi
692692 3.13080 + 5.42271i 0.119015 + 0.206141i
693693 0.0547435 + 0.171188i 0.00207953 + 0.00650289i
694694 1.36532 2.36481i 0.0518269 0.0897669i
695695 3.29740 1.20016i 0.125078 0.0455245i
696696 −2.91707 6.59307i −0.110571 0.249910i
697697 −7.64720 + 6.41676i −0.289658 + 0.243052i
698698 −30.8109 11.2143i −1.16621 0.424466i
699699 −2.76222 40.8668i −0.104477 1.54573i
700700 −0.0309211 + 0.175362i −0.00116871 + 0.00662806i
701701 −38.7348 −1.46299 −0.731496 0.681845i 0.761178π-0.761178\pi
−0.731496 + 0.681845i 0.761178π0.761178\pi
702702 1.04486 + 5.09002i 0.0394358 + 0.192110i
703703 9.26406 0.349401
704704 −0.278569 + 1.57984i −0.0104989 + 0.0595425i
705705 7.54899 5.06636i 0.284311 0.190810i
706706 4.92317 + 1.79189i 0.185286 + 0.0674386i
707707 0.235325 0.197461i 0.00885031 0.00742629i
708708 −15.3292 1.64721i −0.576108 0.0619060i
709709 −43.5995 + 15.8689i −1.63741 + 0.595970i −0.986584 0.163253i 0.947801π-0.947801\pi
−0.650830 + 0.759223i 0.725579π0.725579\pi
710710 0.235414 0.407748i 0.00883492 0.0153025i
711711 36.8120 19.3542i 1.38056 0.725841i
712712 0.176290 + 0.305343i 0.00660674 + 0.0114432i
713713 56.9867 + 47.8175i 2.13417 + 1.79078i
714714 0.357197 0.0881775i 0.0133678 0.00329996i
715715 0.134127 + 0.760673i 0.00501607 + 0.0284476i
716716 4.28194 + 24.2841i 0.160024 + 0.907540i
717717 −24.7806 25.7807i −0.925448 0.962799i
718718 −26.3931 22.1464i −0.984981 0.826497i
719719 −18.3488 31.7811i −0.684296 1.18524i −0.973658 0.228015i 0.926776π-0.926776\pi
0.289362 0.957220i 0.406557π-0.406557\pi
720720 −0.883996 1.14237i −0.0329446 0.0425738i
721721 −0.252277 + 0.436957i −0.00939529 + 0.0162731i
722722 −15.8988 + 5.78669i −0.591692 + 0.215358i
723723 10.3921 14.2337i 0.386485 0.529358i
724724 5.41126 4.54058i 0.201108 0.168749i
725725 −18.6503 6.78816i −0.692656 0.252106i
726726 −13.1031 6.42857i −0.486302 0.238587i
727727 1.02648 5.82147i 0.0380701 0.215906i −0.959838 0.280555i 0.909482π-0.909482\pi
0.997908 + 0.0646485i 0.0205926π0.0205926\pi
728728 −0.0373450 −0.00138410
729729 −24.8165 + 10.6367i −0.919131 + 0.393953i
730730 1.27396 0.0471514
731731 12.0523 68.3518i 0.445769 2.52808i
732732 15.3093 + 7.51097i 0.565849 + 0.277613i
733733 −2.18666 0.795879i −0.0807661 0.0293965i 0.301321 0.953523i 0.402572π-0.402572\pi
−0.382087 + 0.924126i 0.624795π0.624795\pi
734734 2.24284 1.88196i 0.0827846 0.0694645i
735735 −3.44161 + 4.71388i −0.126946 + 0.173874i
736736 −8.01307 + 2.91652i −0.295366 + 0.107504i
737737 0.118271 0.204851i 0.00435655 0.00754577i
738738 3.22221 + 4.16401i 0.118611 + 0.153279i
739739 2.67932 + 4.64071i 0.0985602 + 0.170711i 0.911089 0.412210i 0.135243π-0.135243\pi
−0.812529 + 0.582921i 0.801910π0.801910\pi
740740 2.36874 + 1.98761i 0.0870768 + 0.0730661i
741741 −1.73143 1.80131i −0.0636057 0.0661729i
742742 0.0113168 + 0.0641807i 0.000415453 + 0.00235615i
743743 −2.58787 14.6766i −0.0949399 0.538431i −0.994766 0.102182i 0.967418π-0.967418\pi
0.899826 0.436249i 0.143693π-0.143693\pi
744744 −14.6697 + 3.62136i −0.537818 + 0.132766i
745745 −4.86990 4.08633i −0.178419 0.149711i
746746 −2.68178 4.64497i −0.0981868 0.170065i
747747 17.4255 9.16163i 0.637567 0.335206i
748748 4.56239 7.90228i 0.166817 0.288936i
749749 0.556509 0.202553i 0.0203344 0.00740111i
750750 −8.09963 0.870351i −0.295757 0.0317807i
751751 −18.1866 + 15.2604i −0.663638 + 0.556858i −0.911175 0.412020i 0.864823π-0.864823\pi
0.247537 + 0.968878i 0.420379π0.420379\pi
752752 10.2441 + 3.72856i 0.373566 + 0.135967i
753753 −12.7276 + 8.54186i −0.463818 + 0.311283i
754754 0.722801 4.09921i 0.0263229 0.149284i
755755 −6.51698 −0.237177
756756 −0.0390203 0.190087i −0.00141916 0.00691338i
757757 49.8321 1.81118 0.905589 0.424157i 0.139430π-0.139430\pi
0.905589 + 0.424157i 0.139430π0.139430\pi
758758 0.0968890 0.549485i 0.00351917 0.0199582i
759759 1.59784 + 23.6399i 0.0579978 + 0.858074i
760760 0.652668 + 0.237552i 0.0236747 + 0.00861690i
761761 −2.96278 + 2.48607i −0.107401 + 0.0901198i −0.694907 0.719100i 0.744554π-0.744554\pi
0.587506 + 0.809220i 0.300110π0.300110\pi
762762 10.9981 + 24.8574i 0.398418 + 0.900490i
763763 0.245621 0.0893987i 0.00889207 0.00323645i
764764 −6.35700 + 11.0106i −0.229988 + 0.398351i
765765 2.50255 + 7.82570i 0.0904799 + 0.282939i
766766 5.49261 + 9.51347i 0.198456 + 0.343736i
767767 −6.81878 5.72164i −0.246212 0.206596i
768768 0.481288 1.66384i 0.0173670 0.0600386i
769769 −7.86395 44.5987i −0.283581 1.60827i −0.710309 0.703890i 0.751445π-0.751445\pi
0.426728 0.904380i 0.359666π-0.359666\pi
770770 −0.00500898 0.0284073i −0.000180511 0.00102373i
771771 −1.14596 + 3.96165i −0.0412708 + 0.142675i
772772 12.3553 + 10.3674i 0.444678 + 0.373129i
773773 0.350111 + 0.606410i 0.0125926 + 0.0218110i 0.872253 0.489055i 0.162658π-0.162658\pi
−0.859660 + 0.510866i 0.829325π0.829325\pi
774774 −35.7709 7.77737i −1.28576 0.279552i
775775 −20.7983 + 36.0238i −0.747098 + 1.29401i
776776 17.7543 6.46205i 0.637343 0.231974i
777777 0.168078 + 0.379884i 0.00602976 + 0.0136283i
778778 3.22891 2.70937i 0.115762 0.0971357i
779779 −2.37901 0.865888i −0.0852368 0.0310237i
780780 −0.0562396 0.832061i −0.00201370 0.0297926i
781781 0.272401 1.54486i 0.00974729 0.0552796i
782782 48.5035 1.73448
783783 21.6203 0.604037i 0.772646 0.0215865i
784784 −6.99861 −0.249950
785785 −0.113607 + 0.644297i −0.00405480 + 0.0229959i
786786 11.9506 8.02039i 0.426262 0.286078i
787787 13.3832 + 4.87109i 0.477060 + 0.173635i 0.569348 0.822097i 0.307196π-0.307196\pi
−0.0922881 + 0.995732i 0.529418π0.529418\pi
788788 −8.31488 + 6.97701i −0.296205 + 0.248546i
789789 15.8701 + 1.70533i 0.564989 + 0.0607113i
790790 −6.27243 + 2.28298i −0.223163 + 0.0812247i
791791 −0.227353 + 0.393788i −0.00808376 + 0.0140015i
792792 −4.06944 2.56926i −0.144601 0.0912947i
793793 4.92265 + 8.52628i 0.174808 + 0.302777i
794794 −13.4323 11.2710i −0.476694 0.399994i
795795 −1.41293 + 0.348796i −0.0501115 + 0.0123705i
796796 2.44339 + 13.8571i 0.0866035 + 0.491153i
797797 −2.84866 16.1555i −0.100905 0.572258i −0.992777 0.119972i 0.961720π-0.961720\pi
0.891873 0.452287i 0.149392π-0.149392\pi
798798 0.0646603 + 0.0672700i 0.00228895 + 0.00238133i
799799 −47.5011 39.8582i −1.68047 1.41008i
800800 −2.38409 4.12936i −0.0842901 0.145995i
801801 −1.04812 + 0.142336i −0.0370334 + 0.00502920i
802802 −16.8042 + 29.1057i −0.593375 + 1.02776i
803803 3.98859 1.45173i 0.140754 0.0512304i
804804 −0.150595 + 0.206266i −0.00531108 + 0.00727444i
805805 0.117458 0.0985592i 0.00413986 0.00347376i
806806 −8.19771 2.98372i −0.288752 0.105097i
807807 24.5117 + 12.0258i 0.862854 + 0.423328i
808808 −1.42841 + 8.10090i −0.0502512 + 0.284989i
809809 −24.5383 −0.862719 −0.431360 0.902180i 0.641966π-0.641966\pi
−0.431360 + 0.902180i 0.641966π0.641966\pi
810810 4.17644 1.15565i 0.146745 0.0406054i
811811 24.9380 0.875690 0.437845 0.899050i 0.355742π-0.355742\pi
0.437845 + 0.899050i 0.355742π0.355742\pi
812812 −0.0269930 + 0.153085i −0.000947269 + 0.00537223i
813813 24.7421 + 12.1388i 0.867742 + 0.425726i
814814 9.68116 + 3.52365i 0.339325 + 0.123504i
815815 −7.61271 + 6.38782i −0.266662 + 0.223756i
816816 −5.80933 + 7.95688i −0.203367 + 0.278547i
817817 16.5404 6.02021i 0.578675 0.210620i
818818 −5.73207 + 9.92823i −0.200417 + 0.347132i
819819 0.0424516 0.103681i 0.00148338 0.00362290i
820820 −0.422516 0.731819i −0.0147549 0.0255562i
821821 39.4475 + 33.1004i 1.37673 + 1.15521i 0.970405 + 0.241482i 0.0776336π0.0776336\pi
0.406323 + 0.913730i 0.366811π0.366811\pi
822822 −2.70754 2.81682i −0.0944364 0.0982479i
823823 −6.53638 37.0697i −0.227844 1.29217i −0.857173 0.515028i 0.827781π-0.827781\pi
0.629329 0.777139i 0.283330π-0.283330\pi
824824 −2.34610 13.3054i −0.0817301 0.463515i
825825 −12.8626 + 3.17526i −0.447818 + 0.110548i
826826 0.254647 + 0.213674i 0.00886031 + 0.00743469i
827827 19.7718 + 34.2457i 0.687531 + 1.19084i 0.972634 + 0.232342i 0.0746388π0.0746388\pi
−0.285103 + 0.958497i 0.592028π0.592028\pi
828828 1.01168 25.5620i 0.0351583 0.888340i
829829 6.12893 10.6156i 0.212867 0.368696i −0.739744 0.672889i 0.765053π-0.765053\pi
0.952611 + 0.304193i 0.0983867π0.0983867\pi
830830 −2.96915 + 1.08068i −0.103061 + 0.0375110i
831831 32.9666 + 3.54245i 1.14360 + 0.122886i
832832 0.766044 0.642788i 0.0265578 0.0222847i
833833 37.4074 + 13.6152i 1.29609 + 0.471738i
834834 −10.4813 + 7.03434i −0.362938 + 0.243579i
835835 1.72310 9.77219i 0.0596304 0.338181i
836836 2.31411 0.0800351
837837 6.62172 44.8440i 0.228880 1.55004i
838838 −5.81888 −0.201010
839839 −6.71673 + 38.0925i −0.231887 + 1.31510i 0.617184 + 0.786819i 0.288273π0.288273\pi
−0.849071 + 0.528279i 0.822838π0.822838\pi
840840 0.00210027 + 0.0310733i 7.24661e−5 + 0.00107213i
841841 10.9700 + 3.99275i 0.378276 + 0.137681i
842842 17.8740 14.9980i 0.615977 0.516866i
843843 5.73092 + 12.9528i 0.197383 + 0.446119i
844844 2.50252 0.910843i 0.0861403 0.0313525i
845845 0.240744 0.416980i 0.00828183 0.0143445i
846846 −21.9966 + 24.2024i −0.756257 + 0.832094i
847847 0.157344 + 0.272527i 0.00540640 + 0.00936415i
848848 −1.33683 1.12173i −0.0459068 0.0385204i
849849 3.64254 12.5925i 0.125012 0.432172i
850850 4.70958 + 26.7093i 0.161537 + 0.916123i
851851 9.50962 + 53.9317i 0.325985 + 1.84876i
852852 −0.470633 + 1.62700i −0.0161236 + 0.0557402i
853853 0.538959 + 0.452241i 0.0184536 + 0.0154844i 0.651968 0.758247i 0.273944π-0.273944\pi
−0.633514 + 0.773731i 0.718388π0.718388\pi
854854 −0.183836 0.318414i −0.00629075 0.0108959i
855855 −1.40143 + 1.54196i −0.0479278 + 0.0527340i
856856 −7.92910 + 13.7336i −0.271011 + 0.469405i
857857 −33.4379 + 12.1704i −1.14222 + 0.415733i −0.842713 0.538363i 0.819043π-0.819043\pi
−0.299503 + 0.954095i 0.596821π0.596821\pi
858858 −1.12424 2.54098i −0.0383811 0.0867476i
859859 18.2482 15.3121i 0.622621 0.522441i −0.276005 0.961156i 0.589011π-0.589011\pi
0.898626 + 0.438715i 0.144566π0.144566\pi
860860 5.52088 + 2.00944i 0.188261 + 0.0685212i
861861 −0.00765558 0.113264i −0.000260902 0.00386002i
862862 −2.07756 + 11.7824i −0.0707620 + 0.401311i
863863 −50.7596 −1.72788 −0.863939 0.503597i 0.832010π-0.832010\pi
−0.863939 + 0.503597i 0.832010π0.832010\pi
864864 4.07221 + 3.22755i 0.138539 + 0.109804i
865865 3.01488 0.102509
866866 −3.10539 + 17.6116i −0.105526 + 0.598465i
867867 22.0810 14.8193i 0.749911 0.503288i
868868 0.306143 + 0.111427i 0.0103912 + 0.00378208i
869869 −17.0365 + 14.2954i −0.577925 + 0.484937i
870870 −3.45145 0.370877i −0.117015 0.0125739i
871871 −0.138558 + 0.0504309i −0.00469485 + 0.00170878i
872872 −3.49959 + 6.06147i −0.118511 + 0.205267i
873873 −2.24155 + 56.6369i −0.0758649 + 1.91687i
874874 6.15042 + 10.6528i 0.208041 + 0.360338i
875875 0.134550 + 0.112901i 0.00454862 + 0.00381675i
876876 −4.44925 + 1.09834i −0.150326 + 0.0371095i
877877 −6.32522 35.8721i −0.213588 1.21131i −0.883341 0.468731i 0.844711π-0.844711\pi
0.669753 0.742584i 0.266400π-0.266400\pi
878878 −1.33316 7.56073i −0.0449920 0.255162i
879879 −7.18750 7.47759i −0.242428 0.252213i
880880 0.591698 + 0.496494i 0.0199462 + 0.0167368i
881881 21.2486 + 36.8037i 0.715885 + 1.23995i 0.962617 + 0.270865i 0.0873097π0.0873097\pi
−0.246733 + 0.969084i 0.579357π0.579357\pi
882882 7.95561 19.4302i 0.267879 0.654249i
883883 −2.59330 + 4.49173i −0.0872715 + 0.151159i −0.906357 0.422513i 0.861148π-0.861148\pi
0.819085 + 0.573672i 0.194481π0.194481\pi
884884 −5.34498 + 1.94541i −0.179771 + 0.0654313i
885885 −4.37727 + 5.99543i −0.147140 + 0.201534i
886886 −23.4632 + 19.6880i −0.788263 + 0.661431i
887887 −42.6490 15.5230i −1.43201 0.521210i −0.494505 0.869175i 0.664650π-0.664650\pi
−0.937507 + 0.347965i 0.886873π0.886873\pi
888888 −9.98635 4.89944i −0.335120 0.164415i
889889 0.101770 0.577167i 0.00341326 0.0193576i
890890 0.169762 0.00569045
891891 11.7589 8.37739i 0.393939 0.280653i
892892 −24.3458 −0.815157
893893 2.73075 15.4869i 0.0913811 0.518248i
894894 20.5309 + 10.0727i 0.686656 + 0.336883i
895895 11.1568 + 4.06076i 0.372932 + 0.135736i
896896 −0.0286079 + 0.0240049i −0.000955724 + 0.000801947i
897897 8.70921 11.9288i 0.290792 0.398290i
898898 36.3787 13.2408i 1.21397 0.441850i
899899 −18.1562 + 31.4475i −0.605544 + 1.04883i
900900 14.1744 1.92491i 0.472480 0.0641636i
901901 4.96308 + 8.59630i 0.165344 + 0.286384i
902902 −2.15677 1.80975i −0.0718126 0.0602580i
903903 0.546958 + 0.569034i 0.0182016 + 0.0189363i
904904 −2.11431 11.9909i −0.0703210 0.398810i
905905 −0.590607 3.34950i −0.0196325 0.111341i
906906 22.7602 5.61859i 0.756158 0.186665i
907907 −17.7861 14.9243i −0.590576 0.495552i 0.297825 0.954621i 0.403739π-0.403739\pi
−0.888401 + 0.459068i 0.848183π0.848183\pi
908908 −13.1287 22.7395i −0.435690 0.754637i
909909 −20.8668 13.1743i −0.692107 0.436965i
910910 −0.00899056 + 0.0155721i −0.000298034 + 0.000516210i
911911 −41.0536 + 14.9423i −1.36017 + 0.495060i −0.916106 0.400937i 0.868685π-0.868685\pi
−0.444060 + 0.895997i 0.646462π0.646462\pi
912912 −2.48422 0.266943i −0.0822606 0.00883937i
913913 −8.06451 + 6.76692i −0.266896 + 0.223953i
914914 3.86038 + 1.40506i 0.127690 + 0.0464754i
915915 6.81754 4.57546i 0.225381 0.151260i
916916 −1.47265 + 8.35183i −0.0486578 + 0.275952i
917917 −0.310318 −0.0102476
918918 −15.4869 25.1733i −0.511145 0.830844i
919919 33.6906 1.11135 0.555675 0.831399i 0.312460π-0.312460\pi
0.555675 + 0.831399i 0.312460π0.312460\pi
920920 −0.712964 + 4.04342i −0.0235057 + 0.133308i
921921 1.06654 + 15.7794i 0.0351437 + 0.519949i
922922 9.39258 + 3.41862i 0.309328 + 0.112586i
923923 −0.749085 + 0.628557i −0.0246564 + 0.0206892i
924924 0.0419849 + 0.0948928i 0.00138120 + 0.00312174i
925925 −28.7751 + 10.4733i −0.946121 + 0.344360i
926926 3.19439 5.53285i 0.104974 0.181821i
927927 39.6066 + 8.61133i 1.30085 + 0.282833i
928928 −2.08122 3.60479i −0.0683195 0.118333i
929929 8.45867 + 7.09766i 0.277520 + 0.232867i 0.770914 0.636939i 0.219800π-0.219800\pi
−0.493394 + 0.869806i 0.664244π0.664244\pi
930930 −2.02160 + 6.98880i −0.0662910 + 0.229172i
931931 1.75309 + 9.94225i 0.0574551 + 0.325844i
932932 −4.10649 23.2890i −0.134512 0.762858i
933933 −0.00835168 + 0.0288722i −0.000273422 + 0.000945235i
934934 3.97255 + 3.33336i 0.129986 + 0.109071i
935935 −2.19673 3.80485i −0.0718407 0.124432i
936936 0.913773 + 2.85745i 0.0298676 + 0.0933987i
937937 10.0538 17.4136i 0.328442 0.568879i −0.653761 0.756702i 0.726810π-0.726810\pi
0.982203 + 0.187822i 0.0601430π0.0601430\pi
938938 0.00517443 0.00188334i 0.000168951 6.14932e-5i
939939 1.95183 + 4.41146i 0.0636956 + 0.143963i
940940 4.02095 3.37398i 0.131149 0.110047i
941941 −0.352721 0.128380i −0.0114984 0.00418506i 0.336265 0.941768i 0.390836π-0.390836\pi
−0.347763 + 0.937583i 0.613059π0.613059\pi
942942 −0.158711 2.34812i −0.00517109 0.0765060i
943943 2.59879 14.7385i 0.0846283 0.479951i
944944 −8.90129 −0.289712
945945 −0.0886562 0.0294914i −0.00288399 0.000959356i
946946 19.5749 0.636436
947947 −6.20819 + 35.2084i −0.201739 + 1.14412i 0.700750 + 0.713407i 0.252849π0.252849\pi
−0.902489 + 0.430713i 0.858262π0.858262\pi
948948 19.9379 13.3809i 0.647553 0.434593i
949949 −2.48632 0.904947i −0.0807094 0.0293758i
950950 −5.26899 + 4.42121i −0.170949 + 0.143443i
951951 −31.1127 3.34324i −1.00890 0.108412i
952952 0.199608 0.0726514i 0.00646934 0.00235465i
953953 9.14377 15.8375i 0.296196 0.513026i −0.679067 0.734077i 0.737615π-0.737615\pi
0.975262 + 0.221050i 0.0709486π0.0709486\pi
954954 4.63388 2.43631i 0.150027 0.0788783i
955955 3.06081 + 5.30148i 0.0990456 + 0.171552i
956956 −15.8155 13.2707i −0.511508 0.429207i
957957 −11.2286 + 2.77189i −0.362969 + 0.0896025i
958958 2.72104 + 15.4318i 0.0879127 + 0.498578i
959959 0.0146283 + 0.0829612i 0.000472373 + 0.00267896i
960960 −0.577921 0.601246i −0.0186523 0.0194051i
961961 34.5524 + 28.9929i 1.11459 + 0.935256i
962962 −3.21107 5.56174i −0.103529 0.179318i
963963 −29.1152 37.6251i −0.938224 1.21245i
964964 5.08752 8.81184i 0.163858 0.283810i
965965 7.29744 2.65605i 0.234913 0.0855013i
966966 −0.325245 + 0.445480i −0.0104646 + 0.0143331i
967967 −2.21195 + 1.85605i −0.0711315 + 0.0596864i −0.677660 0.735375i 0.737006π-0.737006\pi
0.606529 + 0.795062i 0.292562π0.292562\pi
968968 −7.91832 2.88203i −0.254504 0.0926321i
969969 12.7588 + 6.25963i 0.409871 + 0.201088i
970970 1.57969 8.95889i 0.0507209 0.287653i
971971 28.9452 0.928895 0.464448 0.885601i 0.346253π-0.346253\pi
0.464448 + 0.885601i 0.346253π0.346253\pi
972972 −13.5897 + 7.63676i −0.435890 + 0.244949i
973973 0.272166 0.00872525
974974 −6.31391 + 35.8079i −0.202311 + 1.14736i
975975 7.41444 + 3.63763i 0.237452 + 0.116497i
976976 9.25156 + 3.36729i 0.296135 + 0.107784i
977977 4.86613 4.08317i 0.155681 0.130632i −0.561620 0.827395i 0.689822π-0.689822\pi
0.717301 + 0.696763i 0.245377π0.245377\pi
978978 21.0798 28.8724i 0.674058 0.923239i
979979 0.531502 0.193451i 0.0169869 0.00618272i
980980 −1.68487 + 2.91828i −0.0538212 + 0.0932210i
981981 −12.8503 16.6062i −0.410278 0.530196i
982982 −1.04178 1.80442i −0.0332447 0.0575815i
983983 41.5259 + 34.8444i 1.32447 + 1.11136i 0.985336 + 0.170625i 0.0545785π0.0545785\pi
0.339134 + 0.940738i 0.389866π0.389866\pi
984984 2.10655 + 2.19157i 0.0671544 + 0.0698648i
985985 0.907521 + 5.14681i 0.0289160 + 0.163991i
986986 4.11130 + 23.3163i 0.130930 + 0.742543i
987987 0.684601 0.169000i 0.0217911 0.00537934i
988988 −1.10503 0.927234i −0.0351558 0.0294992i
989989 52.0261 + 90.1118i 1.65433 + 2.86539i
990990 −2.05102 + 1.07834i −0.0651858 + 0.0342720i
991991 15.3730 26.6268i 0.488340 0.845829i −0.511570 0.859241i 0.670936π-0.670936\pi
0.999910 + 0.0134121i 0.00426935π0.00426935\pi
992992 −8.19771 + 2.98372i −0.260277 + 0.0947333i
993993 45.7035 + 4.91110i 1.45036 + 0.155849i
994994 0.0279746 0.0234735i 0.000887299 0.000744533i
995995 6.36638 + 2.31717i 0.201828 + 0.0734593i
996996 9.43792 6.33408i 0.299052 0.200703i
997997 −6.56327 + 37.2222i −0.207861 + 1.17884i 0.685013 + 0.728531i 0.259796π0.259796\pi
−0.892874 + 0.450307i 0.851315π0.851315\pi
998998 16.4814 0.521710
999999 24.9542 22.1556i 0.789516 0.700973i
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 702.2.w.d.79.2 66
27.13 even 9 inner 702.2.w.d.391.2 yes 66
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
702.2.w.d.79.2 66 1.1 even 1 trivial
702.2.w.d.391.2 yes 66 27.13 even 9 inner