Properties

Label 175.2.x.a.117.10
Level 175175
Weight 22
Character 175.117
Analytic conductor 1.3971.397
Analytic rank 00
Dimension 288288
Inner twists 44

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [175,2,Mod(3,175)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(175, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([21, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("175.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: N N == 175=527 175 = 5^{2} \cdot 7
Weight: k k == 2 2
Character orbit: [χ][\chi] == 175.x (of order 6060, degree 1616, 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: 1.397382035371.39738203537
Analytic rank: 00
Dimension: 288288
Relative dimension: 1818 over Q(ζ60)\Q(\zeta_{60})
Twist minimal: yes
Sato-Tate group: SU(2)[C60]\mathrm{SU}(2)[C_{60}]

Embedding invariants

Embedding label 117.10
Character χ\chi == 175.117
Dual form 175.2.x.a.3.10

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+(0.0204066+0.0314234i)q2+(0.03916190.102020i)q3+(0.8129021.82581i)q4+(2.17394+0.523442i)q5+(0.002406660.00331248i)q6+(1.464572.20341i)q7+(0.1479750.0234370i)q8+(2.220561.99940i)q9+(0.06081100.0576309i)q10+(0.9207181.02256i)q11+(0.2181040.0114304i)q12+(1.43400+0.730661i)q13+(0.0991256+0.00105770i)q14+(0.138537+0.201287i)q15+(2.670892.96632i)q16+(2.74801+3.39351i)q17+(0.108142+0.0289766i)q18+(0.0625826+0.0278636i)q19+(0.811494+4.39470i)q20+(0.2821480.0631262i)q21+(0.0509210+0.00806510i)q22+(4.73611+3.07566i)q23+(0.008186040.0141786i)q24+(4.452022.27586i)q25+(0.05222290.0301509i)q26+(0.5830440.297076i)q27+(2.832464.46519i)q28+(3.88840+5.35192i)q29+(0.00349804+0.00846088i)q30+(3.48857+0.366663i)q31+(0.1162610.433891i)q32+(0.1403790.0538864i)q33+(0.0505580+0.155602i)q34+(2.03053+5.55670i)q35+(1.845435.67963i)q36+(0.405127+7.73028i)q37+(0.002152670.00139796i)q38+(0.130700+0.117683i)q39+(0.309421+0.128407i)q40+(9.122632.96412i)q41+(0.003774040.0101542i)q42+(3.38639+3.38639i)q43+(1.118552.51230i)q44+(3.78079+5.50891i)q45+(0.1932960.0860608i)q46+(5.54003+4.48623i)q47+(0.198028+0.388651i)q48+(2.710056.45412i)q49+(0.162366+0.0934549i)q50+(0.2385890.413248i)q51+(0.168343+3.21217i)q52+(2.76885+1.06286i)q53+(0.002562810.0243835i)q54+(1.46633+2.70493i)q55+(0.1650790.360376i)q56+(0.00529350+0.00529350i)q57+(0.0888266+0.231401i)q58+(10.06772.13996i)q59+(0.4801280.0893160i)q60+(1.57245+7.39781i)q61+(0.0596680+0.117105i)q62+(1.153337.82108i)q63+(7.57643+2.46173i)q64+(2.734972.33903i)q65+(0.001171360.00551082i)q66+(6.898515.58630i)q67+(8.429752.25874i)q68+(0.499255+0.362730i)q69+(0.216047+0.0495872i)q70+(5.529094.01712i)q71+(0.2817280.347905i)q72+(0.428243+0.0224433i)q73+(0.251179+0.145018i)q74+(0.4065330.365068i)q75+0.136914iq76+(0.9046653.52633i)q77+(0.00103085+0.00650856i)q78+(9.054200.951635i)q79+(7.35904+5.05054i)q80+(0.9295378.84395i)q81+(0.09301900.347152i)q82+(0.6637584.19080i)q83+(0.344615+0.463833i)q84+(7.750305.93885i)q85+(0.1755170.0373072i)q86+(0.3937270.606287i)q87+(0.1122780.172893i)q88+(7.874911.67386i)q89+(0.2502620.00638718i)q90+(0.490253+4.22980i)q91+(1.76558+11.1474i)q92+(0.09921180.370263i)q93+(0.0279194+0.265635i)q94+(0.1214660.0933321i)q95+(0.0488186+0.00513104i)q96+(2.5950916.3848i)q97+(0.1475070.216866i)q984.11154iq99+O(q100)q+(0.0204066 + 0.0314234i) q^{2} +(-0.0391619 - 0.102020i) q^{3} +(0.812902 - 1.82581i) q^{4} +(-2.17394 + 0.523442i) q^{5} +(0.00240666 - 0.00331248i) q^{6} +(1.46457 - 2.20341i) q^{7} +(0.147975 - 0.0234370i) q^{8} +(2.22056 - 1.99940i) q^{9} +(-0.0608110 - 0.0576309i) q^{10} +(0.920718 - 1.02256i) q^{11} +(-0.218104 - 0.0114304i) q^{12} +(-1.43400 + 0.730661i) q^{13} +(0.0991256 + 0.00105770i) q^{14} +(0.138537 + 0.201287i) q^{15} +(-2.67089 - 2.96632i) q^{16} +(2.74801 + 3.39351i) q^{17} +(0.108142 + 0.0289766i) q^{18} +(-0.0625826 + 0.0278636i) q^{19} +(-0.811494 + 4.39470i) q^{20} +(-0.282148 - 0.0631262i) q^{21} +(0.0509210 + 0.00806510i) q^{22} +(-4.73611 + 3.07566i) q^{23} +(-0.00818604 - 0.0141786i) q^{24} +(4.45202 - 2.27586i) q^{25} +(-0.0522229 - 0.0301509i) q^{26} +(-0.583044 - 0.297076i) q^{27} +(-2.83246 - 4.46519i) q^{28} +(3.88840 + 5.35192i) q^{29} +(-0.00349804 + 0.00846088i) q^{30} +(3.48857 + 0.366663i) q^{31} +(0.116261 - 0.433891i) q^{32} +(-0.140379 - 0.0538864i) q^{33} +(-0.0505580 + 0.155602i) q^{34} +(-2.03053 + 5.55670i) q^{35} +(-1.84543 - 5.67963i) q^{36} +(-0.405127 + 7.73028i) q^{37} +(-0.00215267 - 0.00139796i) q^{38} +(0.130700 + 0.117683i) q^{39} +(-0.309421 + 0.128407i) q^{40} +(-9.12263 - 2.96412i) q^{41} +(-0.00377404 - 0.0101542i) q^{42} +(-3.38639 + 3.38639i) q^{43} +(-1.11855 - 2.51230i) q^{44} +(-3.78079 + 5.50891i) q^{45} +(-0.193296 - 0.0860608i) q^{46} +(5.54003 + 4.48623i) q^{47} +(-0.198028 + 0.388651i) q^{48} +(-2.71005 - 6.45412i) q^{49} +(0.162366 + 0.0934549i) q^{50} +(0.238589 - 0.413248i) q^{51} +(0.168343 + 3.21217i) q^{52} +(-2.76885 + 1.06286i) q^{53} +(-0.00256281 - 0.0243835i) q^{54} +(-1.46633 + 2.70493i) q^{55} +(0.165079 - 0.360376i) q^{56} +(0.00529350 + 0.00529350i) q^{57} +(-0.0888266 + 0.231401i) q^{58} +(10.0677 - 2.13996i) q^{59} +(0.480128 - 0.0893160i) q^{60} +(-1.57245 + 7.39781i) q^{61} +(0.0596680 + 0.117105i) q^{62} +(-1.15333 - 7.82108i) q^{63} +(-7.57643 + 2.46173i) q^{64} +(2.73497 - 2.33903i) q^{65} +(-0.00117136 - 0.00551082i) q^{66} +(6.89851 - 5.58630i) q^{67} +(8.42975 - 2.25874i) q^{68} +(0.499255 + 0.362730i) q^{69} +(-0.216047 + 0.0495872i) q^{70} +(5.52909 - 4.01712i) q^{71} +(0.281728 - 0.347905i) q^{72} +(-0.428243 + 0.0224433i) q^{73} +(-0.251179 + 0.145018i) q^{74} +(-0.406533 - 0.365068i) q^{75} +0.136914i q^{76} +(-0.904665 - 3.52633i) q^{77} +(-0.00103085 + 0.00650856i) q^{78} +(9.05420 - 0.951635i) q^{79} +(7.35904 + 5.05054i) q^{80} +(0.929537 - 8.84395i) q^{81} +(-0.0930190 - 0.347152i) q^{82} +(-0.663758 - 4.19080i) q^{83} +(-0.344615 + 0.463833i) q^{84} +(-7.75030 - 5.93885i) q^{85} +(-0.175517 - 0.0373072i) q^{86} +(0.393727 - 0.606287i) q^{87} +(0.112278 - 0.172893i) q^{88} +(-7.87491 - 1.67386i) q^{89} +(-0.250262 - 0.00638718i) q^{90} +(-0.490253 + 4.22980i) q^{91} +(1.76558 + 11.1474i) q^{92} +(-0.0992118 - 0.370263i) q^{93} +(-0.0279194 + 0.265635i) q^{94} +(0.121466 - 0.0933321i) q^{95} +(-0.0488186 + 0.00513104i) q^{96} +(2.59509 - 16.3848i) q^{97} +(0.147507 - 0.216866i) q^{98} -4.11154i q^{99} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 288q8q224q310q430q510q736q810q936q106q1136q1220q1428q1530q1642q1714q1830q1912q21+32q22++222q98+O(q100) 288 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 30 q^{5} - 10 q^{7} - 36 q^{8} - 10 q^{9} - 36 q^{10} - 6 q^{11} - 36 q^{12} - 20 q^{14} - 28 q^{15} - 30 q^{16} - 42 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} + 32 q^{22}+ \cdots + 222 q^{98}+O(q^{100}) Copy content Toggle raw display

Character values

We give the values of χ\chi on generators for (Z/175Z)×\left(\mathbb{Z}/175\mathbb{Z}\right)^\times.

nn 101101 127127
χ(n)\chi(n) e(56)e\left(\frac{5}{6}\right) e(1320)e\left(\frac{13}{20}\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 0.0204066 + 0.0314234i 0.0144296 + 0.0222197i 0.845812 0.533481i 0.179117π-0.179117\pi
−0.831382 + 0.555701i 0.812450π0.812450\pi
33 −0.0391619 0.102020i −0.0226101 0.0589014i 0.921811 0.387640i 0.126710π-0.126710\pi
−0.944421 + 0.328739i 0.893376π0.893376\pi
44 0.812902 1.82581i 0.406451 0.912904i
55 −2.17394 + 0.523442i −0.972215 + 0.234090i
66 0.00240666 0.00331248i 0.000982515 0.00135232i
77 1.46457 2.20341i 0.553556 0.832812i
88 0.147975 0.0234370i 0.0523172 0.00828623i
99 2.22056 1.99940i 0.740187 0.666467i
1010 −0.0608110 0.0576309i −0.0192301 0.0182245i
1111 0.920718 1.02256i 0.277607 0.308314i −0.588177 0.808733i 0.700154π-0.700154\pi
0.865783 + 0.500419i 0.166821π0.166821\pi
1212 −0.218104 0.0114304i −0.0629612 0.00329966i
1313 −1.43400 + 0.730661i −0.397721 + 0.202649i −0.641399 0.767207i 0.721646π-0.721646\pi
0.243679 + 0.969856i 0.421646π0.421646\pi
1414 0.0991256 + 0.00105770i 0.0264924 + 0.000282682i
1515 0.138537 + 0.201287i 0.0357701 + 0.0519720i
1616 −2.67089 2.96632i −0.667722 0.741580i
1717 2.74801 + 3.39351i 0.666489 + 0.823046i 0.992490 0.122324i 0.0390346π-0.0390346\pi
−0.326001 + 0.945369i 0.605701π0.605701\pi
1818 0.108142 + 0.0289766i 0.0254893 + 0.00682984i
1919 −0.0625826 + 0.0278636i −0.0143574 + 0.00639234i −0.413903 0.910321i 0.635835π-0.635835\pi
0.399545 + 0.916713i 0.369168π0.369168\pi
2020 −0.811494 + 4.39470i −0.181456 + 0.982685i
2121 −0.282148 0.0631262i −0.0615697 0.0137753i
2222 0.0509210 + 0.00806510i 0.0108564 + 0.00171949i
2323 −4.73611 + 3.07566i −0.987547 + 0.641320i −0.934010 0.357246i 0.883716π-0.883716\pi
−0.0535361 + 0.998566i 0.517049π0.517049\pi
2424 −0.00818604 0.0141786i −0.00167097 0.00289420i
2525 4.45202 2.27586i 0.890403 0.455172i
2626 −0.0522229 0.0301509i −0.0102418 0.00591308i
2727 −0.583044 0.297076i −0.112207 0.0571722i
2828 −2.83246 4.46519i −0.535284 0.843841i
2929 3.88840 + 5.35192i 0.722058 + 0.993827i 0.999453 + 0.0330712i 0.0105288π0.0105288\pi
−0.277395 + 0.960756i 0.589471π0.589471\pi
3030 −0.00349804 + 0.00846088i −0.000638651 + 0.00154474i
3131 3.48857 + 0.366663i 0.626565 + 0.0658546i 0.412489 0.910962i 0.364659π-0.364659\pi
0.214076 + 0.976817i 0.431326π0.431326\pi
3232 0.116261 0.433891i 0.0205522 0.0767017i
3333 −0.140379 0.0538864i −0.0244368 0.00938042i
3434 −0.0505580 + 0.155602i −0.00867063 + 0.0266855i
3535 −2.03053 + 5.55670i −0.343222 + 0.939254i
3636 −1.84543 5.67963i −0.307571 0.946606i
3737 −0.405127 + 7.73028i −0.0666024 + 1.27085i 0.737086 + 0.675799i 0.236201π0.236201\pi
−0.803688 + 0.595050i 0.797132π0.797132\pi
3838 −0.00215267 0.00139796i −0.000349209 0.000226779i
3939 0.130700 + 0.117683i 0.0209288 + 0.0188444i
4040 −0.309421 + 0.128407i −0.0489238 + 0.0203029i
4141 −9.12263 2.96412i −1.42472 0.462918i −0.507618 0.861582i 0.669474π-0.669474\pi
−0.917097 + 0.398664i 0.869474π0.869474\pi
4242 −0.00377404 0.0101542i −0.000582347 0.00156683i
4343 −3.38639 + 3.38639i −0.516420 + 0.516420i −0.916486 0.400067i 0.868987π-0.868987\pi
0.400067 + 0.916486i 0.368987π0.368987\pi
4444 −1.11855 2.51230i −0.168627 0.378743i
4545 −3.78079 + 5.50891i −0.563607 + 0.821220i
4646 −0.193296 0.0860608i −0.0284999 0.0126890i
4747 5.54003 + 4.48623i 0.808096 + 0.654384i 0.941626 0.336661i 0.109298π-0.109298\pi
−0.133529 + 0.991045i 0.542631π0.542631\pi
4848 −0.198028 + 0.388651i −0.0285828 + 0.0560970i
4949 −2.71005 6.45412i −0.387151 0.922016i
5050 0.162366 + 0.0934549i 0.0229620 + 0.0132165i
5151 0.238589 0.413248i 0.0334091 0.0578663i
5252 0.168343 + 3.21217i 0.0233449 + 0.445448i
5353 −2.76885 + 1.06286i −0.380331 + 0.145996i −0.541020 0.841010i 0.681962π-0.681962\pi
0.160689 + 0.987005i 0.448628π0.448628\pi
5454 −0.00256281 0.0243835i −0.000348754 0.00331818i
5555 −1.46633 + 2.70493i −0.197720 + 0.364732i
5656 0.165079 0.360376i 0.0220596 0.0481572i
5757 0.00529350 + 0.00529350i 0.000701141 + 0.000701141i
5858 −0.0888266 + 0.231401i −0.0116635 + 0.0303845i
5959 10.0677 2.13996i 1.31071 0.278599i 0.501007 0.865443i 0.332963π-0.332963\pi
0.809700 + 0.586844i 0.199630π0.199630\pi
6060 0.480128 0.0893160i 0.0619843 0.0115306i
6161 −1.57245 + 7.39781i −0.201332 + 0.947192i 0.755184 + 0.655513i 0.227547π0.227547\pi
−0.956516 + 0.291679i 0.905786π0.905786\pi
6262 0.0596680 + 0.117105i 0.00757784 + 0.0148723i
6363 −1.15333 7.82108i −0.145307 0.985363i
6464 −7.57643 + 2.46173i −0.947053 + 0.307716i
6565 2.73497 2.33903i 0.339232 0.290121i
6666 −0.00117136 0.00551082i −0.000144185 0.000678335i
6767 6.89851 5.58630i 0.842787 0.682475i −0.107380 0.994218i 0.534246π-0.534246\pi
0.950166 + 0.311743i 0.100913π0.100913\pi
6868 8.42975 2.25874i 1.02226 0.273913i
6969 0.499255 + 0.362730i 0.0601032 + 0.0436675i
7070 −0.216047 + 0.0495872i −0.0258225 + 0.00592680i
7171 5.52909 4.01712i 0.656182 0.476744i −0.209189 0.977875i 0.567082π-0.567082\pi
0.865372 + 0.501131i 0.167082π0.167082\pi
7272 0.281728 0.347905i 0.0332020 0.0410010i
7373 −0.428243 + 0.0224433i −0.0501221 + 0.00262679i −0.0773805 0.997002i 0.524656π-0.524656\pi
0.0272584 + 0.999628i 0.491322π0.491322\pi
7474 −0.251179 + 0.145018i −0.0291989 + 0.0168580i
7575 −0.406533 0.365068i −0.0469424 0.0421545i
7676 0.136914i 0.0157051i
7777 −0.904665 3.52633i −0.103096 0.401863i
7878 −0.00103085 + 0.00650856i −0.000116721 + 0.000736949i
7979 9.05420 0.951635i 1.01868 0.107067i 0.419559 0.907728i 0.362185π-0.362185\pi
0.599118 + 0.800661i 0.295518π0.295518\pi
8080 7.35904 + 5.05054i 0.822766 + 0.564668i
8181 0.929537 8.84395i 0.103282 0.982661i
8282 −0.0930190 0.347152i −0.0102722 0.0383365i
8383 −0.663758 4.19080i −0.0728569 0.460000i −0.996964 0.0778662i 0.975189π-0.975189\pi
0.924107 0.382134i 0.124811π-0.124811\pi
8484 −0.344615 + 0.463833i −0.0376006 + 0.0506083i
8585 −7.75030 5.93885i −0.840638 0.644159i
8686 −0.175517 0.0373072i −0.0189264 0.00402294i
8787 0.393727 0.606287i 0.0422120 0.0650007i
8888 0.112278 0.172893i 0.0119688 0.0184304i
8989 −7.87491 1.67386i −0.834739 0.177429i −0.229335 0.973348i 0.573655π-0.573655\pi
−0.605404 + 0.795918i 0.706988π0.706988\pi
9090 −0.250262 0.00638718i −0.0263799 0.000673268i
9191 −0.490253 + 4.22980i −0.0513925 + 0.443404i
9292 1.76558 + 11.1474i 0.184075 + 1.16220i
9393 −0.0992118 0.370263i −0.0102878 0.0383945i
9494 −0.0279194 + 0.265635i −0.00287966 + 0.0273982i
9595 0.121466 0.0933321i 0.0124621 0.00957567i
9696 −0.0488186 + 0.00513104i −0.00498253 + 0.000523684i
9797 2.59509 16.3848i 0.263492 1.66362i −0.400814 0.916159i 0.631273π-0.631273\pi
0.664306 0.747461i 0.268727π-0.268727\pi
9898 0.147507 0.216866i 0.0149005 0.0219067i
9999 4.11154i 0.413225i
100100 −0.536234 9.97858i −0.0536234 0.997858i
101101 −3.41526 + 1.97180i −0.339831 + 0.196202i −0.660197 0.751092i 0.729527π-0.729527\pi
0.320366 + 0.947294i 0.396194π0.396194\pi
102102 0.0178544 0.000935712i 0.00176785 9.26493e-5i
103103 −4.83309 + 5.96836i −0.476218 + 0.588080i −0.957481 0.288496i 0.906845π-0.906845\pi
0.481263 + 0.876576i 0.340178π0.340178\pi
104104 −0.195072 + 0.141728i −0.0191284 + 0.0138976i
105105 0.646415 0.0104557i 0.0630837 0.00102038i
106106 −0.0899016 0.0653174i −0.00873202 0.00634418i
107107 −10.4235 + 2.79297i −1.00768 + 0.270006i −0.724659 0.689108i 0.758003π-0.758003\pi
−0.283019 + 0.959114i 0.591336π0.591336\pi
108108 −1.01636 + 0.823033i −0.0977994 + 0.0791964i
109109 0.599063 + 2.81837i 0.0573798 + 0.269951i 0.997480 0.0709472i 0.0226022π-0.0226022\pi
−0.940100 + 0.340898i 0.889269π0.889269\pi
110110 −0.114921 + 0.00912119i −0.0109573 + 0.000869671i
111111 0.804510 0.261401i 0.0763607 0.0248111i
112112 −10.4477 + 1.54068i −0.987218 + 0.145580i
113113 4.61149 + 9.05056i 0.433812 + 0.851405i 0.999639 + 0.0268803i 0.00855729π0.00855729\pi
−0.565826 + 0.824524i 0.691443π0.691443\pi
114114 −5.83174e−5 0 0.000274362i −5.46193e−6 0 2.56964e-5i
115115 8.68607 9.16538i 0.809980 0.854676i
116116 12.9325 2.74888i 1.20075 0.255227i
117117 −1.72340 + 4.48962i −0.159329 + 0.415066i
118118 0.272693 + 0.272693i 0.0251034 + 0.0251034i
119119 11.5019 1.08496i 1.05438 0.0994579i
120120 0.0252176 + 0.0265386i 0.00230204 + 0.00242263i
121121 0.951904 + 9.05676i 0.0865367 + 0.823342i
122122 −0.264553 + 0.101552i −0.0239515 + 0.00919411i
123123 0.0548590 + 1.04677i 0.00494647 + 0.0943843i
124124 3.50532 6.07139i 0.314787 0.545227i
125125 −8.48713 + 7.27796i −0.759112 + 0.650960i
126126 0.222229 0.195843i 0.0197978 0.0174471i
127127 9.60727 18.8553i 0.852507 1.67314i 0.119588 0.992824i 0.461843π-0.461843\pi
0.732919 0.680316i 0.238157π-0.238157\pi
128128 −0.930148 0.753219i −0.0822142 0.0665758i
129129 0.478097 + 0.212863i 0.0420941 + 0.0187415i
130130 0.129312 + 0.0382106i 0.0113414 + 0.00335129i
131131 −0.708263 1.59079i −0.0618813 0.138988i 0.879958 0.475052i 0.157571π-0.157571\pi
−0.941839 + 0.336064i 0.890904π0.890904\pi
132132 −0.212501 + 0.212501i −0.0184958 + 0.0184958i
133133 −0.0302618 + 0.178704i −0.00262403 + 0.0154956i
134134 0.316315 + 0.102777i 0.0273255 + 0.00887859i
135135 1.42300 + 0.340635i 0.122473 + 0.0293172i
136136 0.486171 + 0.437750i 0.0416888 + 0.0375367i
137137 −5.34189 3.46906i −0.456388 0.296382i 0.295897 0.955220i 0.404382π-0.404382\pi
−0.752285 + 0.658838i 0.771048π0.771048\pi
138138 −0.00121011 + 0.0230904i −0.000103012 + 0.00196558i
139139 6.65731 + 20.4891i 0.564665 + 1.73786i 0.668944 + 0.743313i 0.266747π0.266747\pi
−0.104278 + 0.994548i 0.533253π0.533253\pi
140140 8.49485 + 8.22442i 0.717946 + 0.695090i
141141 0.240728 0.740884i 0.0202729 0.0623937i
142142 0.239062 + 0.0917671i 0.0200616 + 0.00770093i
143143 −0.573166 + 2.13909i −0.0479306 + 0.178879i
144144 −11.8617 1.24672i −0.988478 0.103893i
145145 −11.2546 9.59940i −0.934641 0.797187i
146146 −0.00944423 0.0129989i −0.000781610 0.00107579i
147147 −0.552319 + 0.529236i −0.0455545 + 0.0436506i
148148 13.7847 + 7.02364i 1.13309 + 0.577340i
149149 −16.9996 9.81475i −1.39266 0.804055i −0.399055 0.916927i 0.630662π-0.630662\pi
−0.993610 + 0.112871i 0.963995π0.963995\pi
150150 0.00317573 0.0202245i 0.000259298 0.00165132i
151151 4.56259 + 7.90264i 0.371299 + 0.643108i 0.989766 0.142703i 0.0455793π-0.0455793\pi
−0.618467 + 0.785811i 0.712246π0.712246\pi
152152 −0.00860764 + 0.00558987i −0.000698172 + 0.000453398i
153153 12.8871 + 2.04111i 1.04186 + 0.165014i
154154 0.0923483 0.100388i 0.00744164 0.00808951i
155155 −7.77586 + 1.02896i −0.624572 + 0.0826480i
156156 0.321113 0.142969i 0.0257096 0.0114467i
157157 −17.8330 4.77834i −1.42323 0.381353i −0.536601 0.843836i 0.680292π-0.680292\pi
−0.886628 + 0.462483i 0.846959π0.846959\pi
158158 0.214669 + 0.265094i 0.0170781 + 0.0210898i
159159 0.216867 + 0.240855i 0.0171987 + 0.0191011i
160160 −0.0256268 + 1.00411i −0.00202598 + 0.0793816i
161161 −0.159415 + 14.9401i −0.0125637 + 1.17745i
162162 0.296876 0.151266i 0.0233248 0.0118846i
163163 −3.45202 0.180913i −0.270383 0.0141702i −0.0833374 0.996521i 0.526558π-0.526558\pi
−0.187046 + 0.982351i 0.559891π0.559891\pi
164164 −12.8277 + 14.2466i −1.00168 + 1.11248i
165165 0.333381 + 0.0436655i 0.0259537 + 0.00339935i
166166 0.118144 0.106377i 0.00916977 0.00825649i
167167 −13.0850 + 2.07246i −1.01255 + 0.160372i −0.640595 0.767879i 0.721312π-0.721312\pi
−0.371954 + 0.928251i 0.621312π0.621312\pi
168168 −0.0432304 0.00272842i −0.00333530 0.000210502i
169169 −6.11871 + 8.42168i −0.470670 + 0.647822i
170170 0.0284616 0.364732i 0.00218290 0.0279737i
171171 −0.0832580 + 0.187000i −0.00636690 + 0.0143003i
172172 3.43009 + 8.93570i 0.261542 + 0.681341i
173173 −5.52749 8.51158i −0.420247 0.647123i 0.563618 0.826035i 0.309409π-0.309409\pi
−0.983865 + 0.178912i 0.942742π0.942742\pi
174174 0.0270862 0.00205340
175175 1.50564 13.1428i 0.113815 0.993502i
176176 −5.49238 −0.414003
177177 −0.612591 0.943307i −0.0460451 0.0709033i
178178 −0.108102 0.281614i −0.00810256 0.0211079i
179179 −3.67055 + 8.24419i −0.274350 + 0.616200i −0.997198 0.0748069i 0.976166π-0.976166\pi
0.722848 + 0.691007i 0.242833π0.242833\pi
180180 6.98480 + 11.3812i 0.520616 + 0.848305i
181181 −9.31589 + 12.8222i −0.692445 + 0.953069i 0.307554 + 0.951531i 0.400490π0.400490\pi
−0.999999 + 0.00153805i 0.999510π0.999510\pi
182182 −0.142919 + 0.0709105i −0.0105939 + 0.00525623i
183183 0.816306 0.129290i 0.0603430 0.00955740i
184184 −0.628743 + 0.566122i −0.0463515 + 0.0417351i
185185 −3.16563 17.0172i −0.232742 1.25113i
186186 0.00961036 0.0106734i 0.000704666 0.000782611i
187187 6.00020 + 0.314457i 0.438778 + 0.0229954i
188188 12.6945 6.46817i 0.925841 0.471740i
189189 −1.50849 + 0.849597i −0.109727 + 0.0617991i
190190 0.00541151 + 0.00191228i 0.000392592 + 0.000138731i
191191 14.9793 + 16.6362i 1.08386 + 1.20375i 0.977833 + 0.209387i 0.0671468π0.0671468\pi
0.106028 + 0.994363i 0.466187π0.466187\pi
192192 0.547853 + 0.676542i 0.0395379 + 0.0488252i
193193 −11.7643 3.15224i −0.846814 0.226903i −0.190779 0.981633i 0.561101π-0.561101\pi
−0.656036 + 0.754730i 0.727768π0.727768\pi
194194 0.567822 0.252811i 0.0407672 0.0181507i
195195 −0.345735 0.187422i −0.0247586 0.0134216i
196196 −13.9870 0.298524i −0.999071 0.0213231i
197197 13.1804 + 2.08757i 0.939067 + 0.148734i 0.607161 0.794579i 0.292308π-0.292308\pi
0.331906 + 0.943313i 0.392308π0.392308\pi
198198 0.129199 0.0839025i 0.00918174 0.00596269i
199199 −9.16969 15.8824i −0.650022 1.12587i −0.983117 0.182978i 0.941426π-0.941426\pi
0.333095 0.942893i 0.391907π-0.391907\pi
200200 0.605449 0.441113i 0.0428117 0.0311914i
201201 −0.840074 0.485017i −0.0592542 0.0342104i
202202 −0.131654 0.0670813i −0.00926318 0.00471982i
203203 17.4873 0.729470i 1.22737 0.0511987i
204204 −0.560562 0.771548i −0.0392472 0.0540192i
205205 21.3836 + 1.66865i 1.49349 + 0.116544i
206206 −0.286173 0.0300780i −0.0199386 0.00209563i
207207 −4.36732 + 16.2991i −0.303550 + 1.13286i
208208 5.99743 + 2.30220i 0.415847 + 0.159629i
209209 −0.0291287 + 0.0896490i −0.00201488 + 0.00620115i
210210 0.0135197 + 0.0200992i 0.000932947 + 0.00138698i
211211 −2.94624 9.06760i −0.202828 0.624239i −0.999796 0.0202178i 0.993564π-0.993564\pi
0.796968 0.604022i 0.206436π-0.206436\pi
212212 −0.310223 + 5.91940i −0.0213062 + 0.406546i
213213 −0.626357 0.406761i −0.0429173 0.0278708i
214214 −0.300473 0.270547i −0.0205399 0.0184942i
215215 5.58922 9.13438i 0.381182 0.622960i
216216 −0.0932387 0.0302951i −0.00634409 0.00206132i
217217 5.91717 7.14975i 0.401684 0.485356i
218218 −0.0763379 + 0.0763379i −0.00517026 + 0.00517026i
219219 0.0190605 + 0.0428105i 0.00128799 + 0.00289287i
220220 3.74669 + 4.87608i 0.252602 + 0.328745i
221221 −6.42015 2.85843i −0.431866 0.192279i
222222 0.0246314 + 0.0199461i 0.00165315 + 0.00133870i
223223 11.4092 22.3918i 0.764015 1.49946i −0.0994426 0.995043i 0.531706π-0.531706\pi
0.863458 0.504421i 0.168294π-0.168294\pi
224224 −0.785768 0.891634i −0.0525013 0.0595748i
225225 5.33561 13.9551i 0.355707 0.930337i
226226 −0.190294 + 0.329600i −0.0126582 + 0.0219246i
227227 −0.647595 12.3568i −0.0429824 0.820153i −0.932040 0.362357i 0.881972π-0.881972\pi
0.889057 0.457796i 0.151361π-0.151361\pi
228228 0.0139680 0.00536182i 0.000925054 0.000355095i
229229 1.54378 + 14.6881i 0.102016 + 0.970617i 0.919080 + 0.394070i 0.128933π0.128933\pi
−0.817064 + 0.576547i 0.804400π0.804400\pi
230230 0.465261 + 0.0859117i 0.0306784 + 0.00566485i
231231 −0.324329 + 0.230392i −0.0213393 + 0.0151587i
232232 0.700820 + 0.700820i 0.0460111 + 0.0460111i
233233 −0.434909 + 1.13298i −0.0284918 + 0.0742237i −0.947088 0.320973i 0.895990π-0.895990\pi
0.918597 + 0.395197i 0.129324π0.129324\pi
234234 −0.176248 + 0.0374627i −0.0115217 + 0.00244901i
235235 −14.3920 6.85290i −0.938828 0.447034i
236236 4.27692 20.1213i 0.278404 1.30979i
237237 −0.451665 0.886443i −0.0293388 0.0575807i
238238 0.268809 + 0.339290i 0.0174243 + 0.0219929i
239239 −24.4748 + 7.95235i −1.58314 + 0.514395i −0.962864 0.269986i 0.912981π-0.912981\pi
−0.620280 + 0.784380i 0.712981π0.712981\pi
240240 0.227064 0.948560i 0.0146569 0.0612293i
241241 2.84821 + 13.3998i 0.183470 + 0.863156i 0.969524 + 0.244998i 0.0787874π0.0787874\pi
−0.786054 + 0.618158i 0.787879π0.787879\pi
242242 −0.265169 + 0.214730i −0.0170457 + 0.0138033i
243243 −2.83487 + 0.759601i −0.181857 + 0.0487284i
244244 12.2287 + 8.88469i 0.782864 + 0.568784i
245245 9.26985 + 12.6123i 0.592229 + 0.805770i
246246 −0.0317737 + 0.0230849i −0.00202582 + 0.00147184i
247247 0.0693848 0.0856831i 0.00441485 0.00545188i
248248 0.524815 0.0275044i 0.0333258 0.00174653i
249249 −0.401552 + 0.231836i −0.0254473 + 0.0146920i
250250 −0.401892 0.118176i −0.0254179 0.00747411i
251251 24.5816i 1.55158i −0.630992 0.775789i 0.717352π-0.717352\pi
0.630992 0.775789i 0.282648π-0.282648\pi
252252 −15.2173 4.25200i −0.958602 0.267851i
253253 −1.21556 + 7.67477i −0.0764219 + 0.482509i
254254 0.788550 0.0828799i 0.0494780 0.00520035i
255255 −0.302366 + 1.02326i −0.0189349 + 0.0640792i
256256 −1.66073 + 15.8008i −0.103796 + 0.987548i
257257 −5.30267 19.7898i −0.330772 1.23446i −0.908381 0.418143i 0.862681π-0.862681\pi
0.577610 0.816313i 0.303986π-0.303986\pi
258258 0.00306747 + 0.0193672i 0.000190972 + 0.00120575i
259259 16.4397 + 12.2142i 1.02151 + 0.758954i
260260 −2.04735 6.89494i −0.126971 0.427606i
261261 19.3351 + 4.10979i 1.19681 + 0.254390i
262262 0.0355346 0.0547186i 0.00219534 0.00338052i
263263 −6.93796 + 10.6835i −0.427813 + 0.658774i −0.985186 0.171488i 0.945143π-0.945143\pi
0.557373 + 0.830262i 0.311809π0.311809\pi
264264 −0.0220355 0.00468380i −0.00135619 0.000288268i
265265 5.46297 3.75993i 0.335588 0.230971i
266266 −0.00623301 + 0.00269580i −0.000382171 + 0.000165290i
267267 0.137628 + 0.868951i 0.00842272 + 0.0531790i
268268 −4.59170 17.1365i −0.280483 1.04678i
269269 2.07737 19.7649i 0.126660 1.20509i −0.727882 0.685703i 0.759495π-0.759495\pi
0.854542 0.519383i 0.173838π-0.173838\pi
270270 0.0183348 + 0.0516668i 0.00111582 + 0.00314434i
271271 8.02915 0.843898i 0.487736 0.0512631i 0.142531 0.989790i 0.454476π-0.454476\pi
0.345205 + 0.938527i 0.387809π0.387809\pi
272272 2.72661 17.2151i 0.165325 1.04382i
273273 0.450725 0.115631i 0.0272791 0.00699833i
274274 0.238652i 0.0144175i
275275 1.77184 6.64788i 0.106846 0.400882i
276276 1.06812 0.616679i 0.0642933 0.0371197i
277277 −4.04324 + 0.211897i −0.242935 + 0.0127317i −0.173415 0.984849i 0.555480π-0.555480\pi
−0.0695201 + 0.997581i 0.522147π0.522147\pi
278278 −0.507984 + 0.627307i −0.0304668 + 0.0376234i
279279 8.47968 6.16085i 0.507665 0.368840i
280280 −0.170236 + 0.869844i −0.0101736 + 0.0519831i
281281 1.03849 + 0.754506i 0.0619510 + 0.0450100i 0.618330 0.785919i 0.287810π-0.287810\pi
−0.556379 + 0.830929i 0.687810π0.687810\pi
282282 0.0281935 0.00755443i 0.00167890 0.000449860i
283283 −0.243356 + 0.197066i −0.0144660 + 0.0117143i −0.636526 0.771255i 0.719629π-0.719629\pi
0.622060 + 0.782969i 0.286296π0.286296\pi
284284 −2.83988 13.3606i −0.168516 0.792805i
285285 −0.0142786 0.00873690i −0.000845790 0.000517529i
286286 −0.0789137 + 0.0256406i −0.00466627 + 0.00151616i
287287 −19.8919 + 15.7597i −1.17418 + 0.930268i
288288 −0.609358 1.19593i −0.0359067 0.0704709i
289289 −0.429840 + 2.02224i −0.0252847 + 0.118955i
290290 0.0719784 0.549548i 0.00422672 0.0322705i
291291 −1.77320 + 0.376906i −0.103947 + 0.0220946i
292292 −0.307143 + 0.800134i −0.0179742 + 0.0468243i
293293 13.9434 + 13.9434i 0.814584 + 0.814584i 0.985317 0.170733i 0.0546137π-0.0546137\pi
−0.170733 + 0.985317i 0.554614π0.554614\pi
294294 −0.0279013 0.00655585i −0.00162724 0.000382345i
295295 −20.7665 + 9.92202i −1.20907 + 0.577682i
296296 0.121226 + 1.15338i 0.00704610 + 0.0670391i
297297 −0.840597 + 0.322675i −0.0487764 + 0.0187235i
298298 −0.0384920 0.734472i −0.00222978 0.0425468i
299299 4.54432 7.87099i 0.262805 0.455191i
300300 −0.997017 + 0.445487i −0.0575628 + 0.0257202i
301301 2.50200 + 12.4212i 0.144213 + 0.715948i
302302 −0.155221 + 0.304638i −0.00893196 + 0.0175300i
303303 0.334911 + 0.271206i 0.0192402 + 0.0155804i
304304 0.249803 + 0.111220i 0.0143272 + 0.00637888i
305305 −0.453910 16.9055i −0.0259908 0.968004i
306306 0.198843 + 0.446608i 0.0113671 + 0.0255309i
307307 14.7442 14.7442i 0.841499 0.841499i −0.147555 0.989054i 0.547140π-0.547140\pi
0.989054 + 0.147555i 0.0471404π0.0471404\pi
308308 −7.17382 1.21482i −0.408766 0.0692208i
309309 0.798166 + 0.259340i 0.0454061 + 0.0147533i
310310 −0.191012 0.223346i −0.0108488 0.0126852i
311311 −6.37447 5.73960i −0.361463 0.325463i 0.468309 0.883565i 0.344863π-0.344863\pi
−0.829773 + 0.558102i 0.811530π0.811530\pi
312312 0.0220986 + 0.0143510i 0.00125108 + 0.000812464i
313313 −1.27272 + 24.2850i −0.0719386 + 1.37267i 0.689430 + 0.724352i 0.257861π0.257861\pi
−0.761369 + 0.648319i 0.775472π0.775472\pi
314314 −0.213759 0.657884i −0.0120631 0.0371265i
315315 6.60116 + 16.3988i 0.371933 + 0.923970i
316316 5.62268 17.3048i 0.316300 0.973472i
317317 4.27191 + 1.63983i 0.239934 + 0.0921021i 0.475364 0.879789i 0.342316π-0.342316\pi
−0.235430 + 0.971891i 0.575650π0.575650\pi
318318 −0.00314297 + 0.0117297i −0.000176249 + 0.000657771i
319319 9.05278 + 0.951486i 0.506858 + 0.0532730i
320320 15.1821 9.31747i 0.848706 0.520863i
321321 0.693143 + 0.954029i 0.0386875 + 0.0532487i
322322 −0.472723 + 0.299868i −0.0263438 + 0.0167110i
323323 −0.266533 0.135805i −0.0148303 0.00755640i
324324 −15.3917 8.88642i −0.855097 0.493690i
325325 −4.72132 + 6.51650i −0.261892 + 0.361471i
326326 −0.0647591 0.112166i −0.00358667 0.00621230i
327327 0.264070 0.171489i 0.0146031 0.00948338i
328328 −1.41939 0.224810i −0.0783729 0.0124130i
329329 17.9988 5.63657i 0.992305 0.310754i
330330 0.00543106 + 0.0113670i 0.000298970 + 0.000625735i
331331 2.17087 0.966535i 0.119322 0.0531256i −0.346207 0.938158i 0.612531π-0.612531\pi
0.465529 + 0.885032i 0.345864π0.345864\pi
332332 −8.19117 2.19482i −0.449549 0.120456i
333333 14.5563 + 17.9756i 0.797681 + 0.985054i
334334 −0.332144 0.368884i −0.0181741 0.0201844i
335335 −12.0728 + 15.7552i −0.659609 + 0.860801i
336336 0.566333 + 1.00554i 0.0308960 + 0.0548569i
337337 19.0320 9.69727i 1.03674 0.528244i 0.149117 0.988820i 0.452357π-0.452357\pi
0.887621 + 0.460575i 0.152357π0.152357\pi
338338 −0.389500 0.0204128i −0.0211860 0.00111031i
339339 0.742745 0.824902i 0.0403404 0.0448025i
340340 −17.1434 + 9.32286i −0.929733 + 0.505603i
341341 3.58692 3.22968i 0.194243 0.174897i
342342 −0.00757520 + 0.00119979i −0.000409620 + 6.48774e-5i
343343 −18.1902 3.48115i −0.982176 0.187964i
344344 −0.421735 + 0.580469i −0.0227384 + 0.0312968i
345345 −1.27522 0.527221i −0.0686554 0.0283846i
346346 0.154666 0.347385i 0.00831488 0.0186755i
347347 9.40506 + 24.5010i 0.504890 + 1.31528i 0.915076 + 0.403282i 0.132130π0.132130\pi
−0.410186 + 0.912002i 0.634536π0.634536\pi
348348 −0.786901 1.21172i −0.0421823 0.0649551i
349349 16.7152 0.894745 0.447373 0.894348i 0.352360π-0.352360\pi
0.447373 + 0.894348i 0.352360π0.352360\pi
350350 0.443716 0.220887i 0.0237176 0.0118069i
351351 1.05315 0.0562129
352352 −0.336636 0.518374i −0.0179428 0.0276294i
353353 −10.3220 26.8897i −0.549383 1.43119i −0.874270 0.485440i 0.838660π-0.838660\pi
0.324887 0.945753i 0.394674π-0.394674\pi
354354 0.0171410 0.0384994i 0.000911035 0.00204622i
355355 −9.91717 + 11.6271i −0.526349 + 0.617104i
356356 −9.45769 + 13.0174i −0.501256 + 0.689920i
357357 −0.561125 1.13094i −0.0296979 0.0598558i
358358 −0.333964 + 0.0528947i −0.0176505 + 0.00279557i
359359 3.33552 3.00332i 0.176042 0.158509i −0.576399 0.817168i 0.695543π-0.695543\pi
0.752441 + 0.658659i 0.228876π0.228876\pi
360360 −0.430351 + 0.903793i −0.0226815 + 0.0476341i
361361 −12.7103 + 14.1163i −0.668965 + 0.742961i
362362 −0.593024 0.0310791i −0.0311686 0.00163348i
363363 0.886694 0.451793i 0.0465394 0.0237130i
364364 7.32428 + 4.33353i 0.383897 + 0.227138i
365365 0.919227 0.272951i 0.0481145 0.0142869i
366366 0.0207208 + 0.0230127i 0.00108309 + 0.00120289i
367367 20.6467 + 25.4966i 1.07775 + 1.33091i 0.940279 + 0.340406i 0.110564π0.110564\pi
0.137472 + 0.990506i 0.456102π0.456102\pi
368368 21.7730 + 5.83406i 1.13500 + 0.304121i
369369 −26.1838 + 11.6578i −1.36307 + 0.606880i
370370 0.470139 0.446738i 0.0244413 0.0232248i
371371 −1.71326 + 7.65757i −0.0889480 + 0.397561i
372372 −0.756679 0.119846i −0.0392320 0.00621374i
373373 −31.6429 + 20.5491i −1.63841 + 1.06399i −0.702539 + 0.711645i 0.747950π0.747950\pi
−0.935869 + 0.352349i 0.885383π0.885383\pi
374374 0.112562 + 0.194964i 0.00582046 + 0.0100813i
375375 1.07487 + 0.580840i 0.0555061 + 0.0299944i
376376 0.924931 + 0.534009i 0.0476997 + 0.0275394i
377377 −9.48641 4.83357i −0.488575 0.248941i
378378 −0.0574804 0.0300645i −0.00295647 0.00154635i
379379 −2.24596 3.09129i −0.115367 0.158789i 0.747428 0.664343i 0.231288π-0.231288\pi
−0.862795 + 0.505553i 0.831288π0.831288\pi
380380 −0.0716667 0.297643i −0.00367642 0.0152688i
381381 −2.29986 0.241725i −0.117825 0.0123840i
382382 −0.217089 + 0.810186i −0.0111072 + 0.0414527i
383383 −15.0198 5.76557i −0.767477 0.294607i −0.0570442 0.998372i 0.518168π-0.518168\pi
−0.710433 + 0.703765i 0.751501π0.751501\pi
384384 −0.0404172 + 0.124391i −0.00206253 + 0.00634782i
385385 3.81252 + 7.19250i 0.194304 + 0.366563i
386386 −0.141016 0.434001i −0.00717751 0.0220901i
387387 −0.748930 + 14.2904i −0.0380702 + 0.726423i
388388 −27.8059 18.0573i −1.41163 0.916723i
389389 −11.4454 10.3055i −0.580306 0.522510i 0.325867 0.945415i 0.394344π-0.394344\pi
−0.906174 + 0.422905i 0.861010π0.861010\pi
390390 −0.00116584 0.0146888i −5.90346e−5 0.000743796i
391391 −23.4521 7.62006i −1.18603 0.385363i
392392 −0.552286 0.891534i −0.0278947 0.0450293i
393393 −0.134555 + 0.134555i −0.00678742 + 0.00678742i
394394 0.203369 + 0.456774i 0.0102456 + 0.0230119i
395395 −19.1851 + 6.80814i −0.965309 + 0.342555i
396396 −7.50689 3.34228i −0.377235 0.167956i
397397 −9.10252 7.37108i −0.456842 0.369944i 0.373102 0.927791i 0.378294π-0.378294\pi
−0.829944 + 0.557847i 0.811628π0.811628\pi
398398 0.311956 0.612248i 0.0156369 0.0306892i
399399 0.0194165 0.00391105i 0.000972040 0.000195797i
400400 −18.6418 7.12754i −0.932089 0.356377i
401401 6.37349 11.0392i 0.318277 0.551271i −0.661852 0.749635i 0.730229π-0.730229\pi
0.980129 + 0.198363i 0.0635626π0.0635626\pi
402402 −0.00190217 0.0362955i −9.48715e−5 0.00181026i
403403 −5.27052 + 2.02316i −0.262543 + 0.100781i
404404 0.823859 + 7.83849i 0.0409885 + 0.389979i
405405 2.60854 + 19.7128i 0.129619 + 0.979535i
406406 0.379779 + 0.534626i 0.0188481 + 0.0265330i
407407 7.53167 + 7.53167i 0.373331 + 0.373331i
408408 0.0256200 0.0667423i 0.00126838 0.00330424i
409409 9.90022 2.10436i 0.489534 0.104054i 0.0434702 0.999055i 0.486159π-0.486159\pi
0.446064 + 0.895001i 0.352825π0.352825\pi
410410 0.383931 + 0.705996i 0.0189610 + 0.0348667i
411411 −0.144716 + 0.680835i −0.00713831 + 0.0335831i
412412 6.96826 + 13.6760i 0.343302 + 0.673768i
413413 10.0297 25.3175i 0.493529 1.24579i
414414 −0.601294 + 0.195372i −0.0295520 + 0.00960203i
415415 3.63661 + 8.76310i 0.178514 + 0.430164i
416416 0.150309 + 0.707147i 0.00736949 + 0.0346707i
417417 1.82959 1.48157i 0.0895953 0.0725528i
418418 −0.00341149 0.000914107i −0.000166862 4.47104e-5i
419419 2.20460 + 1.60174i 0.107702 + 0.0782499i 0.640333 0.768098i 0.278797π-0.278797\pi
−0.532631 + 0.846348i 0.678797π0.678797\pi
420420 0.506382 1.18873i 0.0247089 0.0580041i
421421 27.0480 19.6515i 1.31824 0.957756i 0.318286 0.947995i 0.396893π-0.396893\pi
0.999952 0.00976112i 0.00310711π-0.00310711\pi
422422 0.224812 0.277620i 0.0109437 0.0135143i
423423 21.2717 1.11480i 1.03427 0.0542037i
424424 −0.384812 + 0.222171i −0.0186881 + 0.0107896i
425425 19.9573 + 8.85386i 0.968072 + 0.429475i
426426 0.0279829i 0.00135577i
427427 13.9974 + 14.2994i 0.677384 + 0.691996i
428428 −3.37386 + 21.3017i −0.163082 + 1.02966i
429429 0.240676 0.0252961i 0.0116200 0.00122131i
430430 0.401090 0.0107692i 0.0193423 0.000519338i
431431 3.25558 30.9747i 0.156816 1.49200i −0.579283 0.815126i 0.696668π-0.696668\pi
0.736099 0.676874i 0.236666π-0.236666\pi
432432 0.676023 + 2.52295i 0.0325252 + 0.121386i
433433 0.835932 + 5.27787i 0.0401723 + 0.253638i 0.999599 0.0283205i 0.00901590π-0.00901590\pi
−0.959427 + 0.281959i 0.909016π0.909016\pi
434434 0.345419 + 0.0400356i 0.0165806 + 0.00192177i
435435 −0.538582 + 1.52412i −0.0258231 + 0.0730761i
436436 5.63278 + 1.19729i 0.269761 + 0.0573396i
437437 0.210699 0.324448i 0.0100791 0.0155204i
438438 −0.000956293 0.00147256i −4.56935e−5 7.03617e-5i
439439 26.1495 + 5.55824i 1.24805 + 0.265280i 0.784129 0.620598i 0.213110π-0.213110\pi
0.463917 + 0.885878i 0.346443π0.346443\pi
440440 −0.153586 + 0.434629i −0.00732191 + 0.0207201i
441441 −18.9222 8.91326i −0.901057 0.424441i
442442 −0.0411916 0.260074i −0.00195929 0.0123704i
443443 −7.64058 28.5150i −0.363015 1.35479i −0.870092 0.492889i 0.835941π-0.835941\pi
0.507077 0.861901i 0.330726π-0.330726\pi
444444 0.176720 1.68137i 0.00838674 0.0797945i
445445 17.9957 0.483183i 0.853080 0.0229051i
446446 0.936448 0.0984247i 0.0443421 0.00466054i
447447 −0.335564 + 2.11867i −0.0158717 + 0.100210i
448448 −5.67202 + 20.2994i −0.267978 + 0.959055i
449449 16.6858i 0.787450i 0.919228 + 0.393725i 0.128814π0.128814\pi
−0.919228 + 0.393725i 0.871186π0.871186\pi
450450 0.547397 0.117112i 0.0258045 0.00552072i
451451 −11.4304 + 6.59932i −0.538235 + 0.310750i
452452 20.2733 1.06248i 0.953575 0.0499747i
453453 0.627549 0.774959i 0.0294848 0.0364107i
454454 0.375079 0.272511i 0.0176033 0.0127896i
455455 −1.14828 9.45195i −0.0538321 0.443114i
456456 0.000907371 0 0.000659243i 4.24915e−5 0 3.08719e-5i
457457 10.2464 2.74552i 0.479308 0.128430i −0.0110724 0.999939i 0.503525π-0.503525\pi
0.490380 + 0.871509i 0.336858π0.336858\pi
458458 −0.430047 + 0.348245i −0.0200948 + 0.0162724i
459459 −0.594080 2.79493i −0.0277293 0.130456i
460460 −9.67330 23.3097i −0.451020 1.08682i
461461 −19.5350 + 6.34729i −0.909833 + 0.295623i −0.726290 0.687389i 0.758757π-0.758757\pi
−0.183544 + 0.983012i 0.558757π0.558757\pi
462462 −0.0138581 0.00549000i −0.000644739 0.000255418i
463463 −1.32037 2.59137i −0.0613628 0.120431i 0.858288 0.513168i 0.171528π-0.171528\pi
−0.919651 + 0.392737i 0.871528π0.871528\pi
464464 5.49004 25.8286i 0.254869 1.19906i
465465 0.409492 + 0.752998i 0.0189897 + 0.0349195i
466466 −0.0444770 + 0.00945387i −0.00206036 + 0.000437942i
467467 −2.62833 + 6.84704i −0.121625 + 0.316843i −0.980853 0.194749i 0.937611π-0.937611\pi
0.859228 + 0.511592i 0.170944π0.170944\pi
468468 6.79623 + 6.79623i 0.314156 + 0.314156i
469469 −2.20556 23.3818i −0.101843 1.07967i
470470 −0.0783497 0.592089i −0.00361400 0.0273110i
471471 0.210887 + 2.00646i 0.00971716 + 0.0924526i
472472 1.43962 0.552619i 0.0662639 0.0254363i
473473 0.344880 + 6.58070i 0.0158576 + 0.302581i
474474 0.0186381 0.0322821i 0.000856077 0.00148277i
475475 −0.215205 + 0.266478i −0.00987429 + 0.0122269i
476476 7.36903 21.8823i 0.337759 1.00297i
477477 −4.02332 + 7.89620i −0.184215 + 0.361542i
478478 −0.749338 0.606802i −0.0342739 0.0277545i
479479 5.39262 + 2.40095i 0.246395 + 0.109702i 0.526219 0.850349i 0.323609π-0.323609\pi
−0.279824 + 0.960051i 0.590276π0.590276\pi
480480 0.103443 0.0367083i 0.00472150 0.00167550i
481481 −5.06726 11.3812i −0.231047 0.518940i
482482 −0.362945 + 0.362945i −0.0165317 + 0.0165317i
483483 1.53044 0.568820i 0.0696373 0.0258822i
484484 17.3097 + 5.62427i 0.786805 + 0.255649i
485485 2.93491 + 36.9778i 0.133267 + 1.67908i
486486 −0.0817193 0.0735804i −0.00370686 0.00333767i
487487 −14.5855 9.47193i −0.660932 0.429214i 0.170109 0.985425i 0.445588π-0.445588\pi
−0.831041 + 0.556211i 0.812255π0.812255\pi
488488 −0.0593018 + 1.13155i −0.00268447 + 0.0512227i
489489 0.116731 + 0.359261i 0.00527875 + 0.0162463i
490490 −0.207155 + 0.548664i −0.00935831 + 0.0247861i
491491 −1.67096 + 5.14268i −0.0754092 + 0.232086i −0.981655 0.190665i 0.938936π-0.938936\pi
0.906246 + 0.422751i 0.138936π0.138936\pi
492492 1.95580 + 0.750762i 0.0881743 + 0.0338470i
493493 −7.47643 + 27.9024i −0.336721 + 1.25666i
494494 0.00410836 0.000431806i 0.000184844 1.94279e-5i
495495 2.15215 + 8.93824i 0.0967321 + 0.401744i
496496 −8.22993 11.3275i −0.369535 0.508621i
497497 −0.753618 18.0662i −0.0338044 0.810381i
498498 −0.0154794 0.00788715i −0.000693648 0.000353432i
499499 2.08554 + 1.20409i 0.0933616 + 0.0539023i 0.545954 0.837815i 0.316167π-0.316167\pi
−0.452592 + 0.891718i 0.649501π0.649501\pi
500500 6.38895 + 21.4121i 0.285723 + 0.957580i
501501 0.723867 + 1.25377i 0.0323400 + 0.0560145i
502502 0.772438 0.501627i 0.0344756 0.0223887i
503503 −24.0156 3.80370i −1.07080 0.169599i −0.403946 0.914783i 0.632362π-0.632362\pi
−0.666859 + 0.745184i 0.732362π0.732362\pi
504504 −0.353968 1.13030i −0.0157670 0.0503474i
505505 6.39244 6.07426i 0.284460 0.270301i
506506 −0.265973 + 0.118419i −0.0118239 + 0.00526436i
507507 1.09880 + 0.294423i 0.0487995 + 0.0130758i
508508 −26.6164 32.8686i −1.18091 1.45831i
509509 −12.1317 13.4736i −0.537726 0.597205i 0.411652 0.911341i 0.364952π-0.364952\pi
−0.949378 + 0.314136i 0.898285π0.898285\pi
510510 −0.0383247 + 0.0113800i −0.00169705 + 0.000503913i
511511 −0.577742 + 0.976467i −0.0255578 + 0.0431963i
512512 −2.66325 + 1.35700i −0.117700 + 0.0599713i
513513 0.0447660 + 0.00234609i 0.00197647 + 0.000103582i
514514 0.513655 0.570471i 0.0226563 0.0251624i
515515 7.38274 15.5047i 0.325322 0.683219i
516516 0.777293 0.699878i 0.0342184 0.0308104i
517517 9.68824 1.53447i 0.426088 0.0674858i
518518 −0.0483347 + 0.765840i −0.00212371 + 0.0336491i
519519 −0.651886 + 0.897245i −0.0286146 + 0.0393847i
520520 0.349889 0.410218i 0.0153436 0.0179892i
521521 6.29845 14.1465i 0.275940 0.619772i −0.721411 0.692507i 0.756506π-0.756506\pi
0.997351 + 0.0727354i 0.0231729π0.0231729\pi
522522 0.265419 + 0.691440i 0.0116171 + 0.0302635i
523523 −10.7494 16.5526i −0.470037 0.723794i 0.521552 0.853220i 0.325353π-0.325353\pi
−0.991589 + 0.129426i 0.958687π0.958687\pi
524524 −3.48022 −0.152034
525525 −1.39979 + 0.361091i −0.0610920 + 0.0157593i
526526 −0.477293 −0.0208110
527527 8.34233 + 12.8461i 0.363398 + 0.559583i
528528 0.215092 + 0.560333i 0.00936067 + 0.0243854i
529529 3.61606 8.12180i 0.157220 0.353122i
530530 0.229631 + 0.0949376i 0.00997451 + 0.00412383i
531531 18.0774 24.8813i 0.784490 1.07976i
532532 0.301679 + 0.200521i 0.0130794 + 0.00869368i
533533 15.2476 2.41499i 0.660448 0.104605i
534534 −0.0244969 + 0.0220571i −0.00106008 + 0.000954503i
535535 21.1981 11.5278i 0.916473 0.498392i
536536 0.889882 0.988314i 0.0384371 0.0426887i
537537 0.984820 + 0.0516122i 0.0424981 + 0.00222723i
538538 0.663472 0.338056i 0.0286043 0.0145746i
539539 −9.09492 3.17122i −0.391746 0.136594i
540540 1.77870 2.32123i 0.0765429 0.0998898i
541541 −18.2785 20.3003i −0.785853 0.872778i 0.208596 0.978002i 0.433111π-0.433111\pi
−0.994449 + 0.105224i 0.966444π0.966444\pi
542542 0.190366 + 0.235082i 0.00817691 + 0.0100976i
543543 1.67295 + 0.448267i 0.0717933 + 0.0192370i
544544 1.79189 0.797803i 0.0768269 0.0342055i
545545 −2.77758 5.81339i −0.118978 0.249018i
546546 0.0128313 + 0.0118037i 0.000549128 + 0.000505150i
547547 10.0134 + 1.58597i 0.428143 + 0.0678111i 0.366787 0.930305i 0.380458π-0.380458\pi
0.0613554 + 0.998116i 0.480458π0.480458\pi
548548 −10.6763 + 6.93325i −0.456068 + 0.296174i
549549 11.2995 + 19.5712i 0.482249 + 0.835280i
550550 0.245056 0.0799833i 0.0104492 0.00341050i
551551 −0.392470 0.226593i −0.0167198 0.00965317i
552552 0.0823786 + 0.0419740i 0.00350627 + 0.00178653i
553553 11.1637 21.3439i 0.474728 0.907634i
554554 −0.0891673 0.122728i −0.00378836 0.00521423i
555555 −1.61213 + 0.989384i −0.0684309 + 0.0419970i
556556 42.8209 + 4.50066i 1.81601 + 0.190870i
557557 0.0898136 0.335189i 0.00380552 0.0142024i −0.963997 0.265913i 0.914327π-0.914327\pi
0.967802 + 0.251711i 0.0809932π0.0809932\pi
558558 0.366636 + 0.140738i 0.0155209 + 0.00595793i
559559 2.38179 7.33039i 0.100739 0.310042i
560560 21.9063 8.81812i 0.925709 0.372634i
561561 −0.202898 0.624456i −0.00856637 0.0263646i
562562 −0.00251713 + 0.0480297i −0.000106179 + 0.00202601i
563563 12.6921 + 8.24238i 0.534910 + 0.347375i 0.783657 0.621194i 0.213352π-0.213352\pi
−0.248747 + 0.968569i 0.580019π0.580019\pi
564564 −1.15702 1.04179i −0.0487195 0.0438672i
565565 −14.7625 17.2615i −0.621065 0.726197i
566566 −0.0111585 0.00362563i −0.000469029 0.000152397i
567567 −18.1255 15.0008i −0.761200 0.629973i
568568 0.724020 0.724020i 0.0303792 0.0303792i
569569 3.67748 + 8.25975i 0.154168 + 0.346267i 0.974073 0.226232i 0.0726407π-0.0726407\pi
−0.819905 + 0.572499i 0.805974π0.805974\pi
570570 −1.68341e−5 0 0.000626972i −7.05104e−7 0 2.62610e-5i
571571 16.8896 + 7.51972i 0.706806 + 0.314690i 0.728473 0.685075i 0.240231π-0.240231\pi
−0.0216664 + 0.999765i 0.506897π0.506897\pi
572572 3.43963 + 2.78536i 0.143818 + 0.116462i
573573 1.11061 2.17969i 0.0463963 0.0910579i
574574 −0.901151 0.303469i −0.0376133 0.0126666i
575575 −14.0854 + 24.4716i −0.587403 + 1.02054i
576576 −11.9019 + 20.6147i −0.495914 + 0.858947i
577577 1.38404 + 26.4090i 0.0576183 + 1.09942i 0.862523 + 0.506018i 0.168883π0.168883\pi
−0.804905 + 0.593404i 0.797784π0.797784\pi
578578 −0.0723172 + 0.0277600i −0.00300800 + 0.00115466i
579579 0.139121 + 1.32365i 0.00578166 + 0.0550088i
580580 −26.6755 + 12.7453i −1.10764 + 0.529220i
581581 −10.2062 4.67520i −0.423424 0.193960i
582582 −0.0480288 0.0480288i −0.00199086 0.00199086i
583583 −1.46249 + 3.80992i −0.0605702 + 0.157791i
584584 −0.0628434 + 0.0133578i −0.00260048 + 0.000552749i
585585 1.39652 10.6623i 0.0577389 0.440830i
586586 −0.153612 + 0.722688i −0.00634566 + 0.0298540i
587587 −8.79450 17.2602i −0.362988 0.712404i 0.635215 0.772336i 0.280912π-0.280912\pi
−0.998202 + 0.0599321i 0.980912π0.980912\pi
588588 0.517301 + 1.43865i 0.0213331 + 0.0593288i
589589 −0.228540 + 0.0742572i −0.00941683 + 0.00305971i
590590 −0.735557 0.450079i −0.0302824 0.0185294i
591591 −0.303196 1.42642i −0.0124718 0.0586752i
592592 24.0125 19.4450i 0.986909 0.799183i
593593 39.8994 10.6910i 1.63847 0.439027i 0.682118 0.731242i 0.261059π-0.261059\pi
0.956353 + 0.292215i 0.0943924π0.0943924\pi
594594 −0.0272933 0.0198297i −0.00111986 0.000813623i
595595 −24.4366 + 8.37924i −1.00180 + 0.343515i
596596 −31.7389 + 23.0597i −1.30008 + 0.944560i
597597 −1.26122 + 1.55748i −0.0516183 + 0.0637433i
598598 0.340068 0.0178222i 0.0139064 0.000728803i
599599 2.44181 1.40978i 0.0997698 0.0576021i −0.449285 0.893389i 0.648321π-0.648321\pi
0.549055 + 0.835786i 0.314988π0.314988\pi
600600 −0.0687130 0.0444932i −0.00280520 0.00181643i
601601 33.6982i 1.37458i 0.726384 + 0.687289i 0.241199π0.241199\pi
−0.726384 + 0.687289i 0.758801π0.758801\pi
602602 −0.339260 + 0.332096i −0.0138272 + 0.0135352i
603603 4.14929 26.1976i 0.168972 1.06685i
604604 18.1377 1.90634i 0.738011 0.0775680i
605605 −6.81007 19.1906i −0.276869 0.780208i
606606 −0.00168781 + 0.0160584i −6.85626e−5 + 0.000652330i
607607 8.74821 + 32.6488i 0.355079 + 1.32517i 0.880385 + 0.474259i 0.157284π0.157284\pi
−0.525306 + 0.850913i 0.676049π0.676049\pi
608608 0.00481385 + 0.0303934i 0.000195227 + 0.00123262i
609609 −0.759258 1.75549i −0.0307667 0.0711362i
610610 0.521964 0.359246i 0.0211337 0.0145455i
611611 −11.2223 2.38538i −0.454007 0.0965021i
612612 14.2026 21.8701i 0.574107 0.884048i
613613 −3.21949 + 4.95757i −0.130034 + 0.200235i −0.897690 0.440627i 0.854756π-0.854756\pi
0.767656 + 0.640862i 0.221423π0.221423\pi
614614 0.764194 + 0.162434i 0.0308404 + 0.00655532i
615615 −0.667185 2.24690i −0.0269035 0.0906039i
616616 −0.216515 0.500608i −0.00872363 0.0201701i
617617 −0.740149 4.67312i −0.0297973 0.188133i 0.968300 0.249790i 0.0803615π-0.0803615\pi
−0.998097 + 0.0616571i 0.980361π0.980361\pi
618618 0.00813851 + 0.0303733i 0.000327379 + 0.00122180i
619619 −0.113041 + 1.07551i −0.00454350 + 0.0432285i −0.996559 0.0828895i 0.973585π-0.973585\pi
0.992015 + 0.126118i 0.0402518π0.0402518\pi
620620 −4.44233 + 15.0337i −0.178408 + 0.603767i
621621 3.67506 0.386265i 0.147475 0.0155003i
622622 0.0502765 0.317433i 0.00201590 0.0127279i
623623 −15.2216 + 14.9002i −0.609840 + 0.596963i
624624 0.702018i 0.0281032i
625625 14.6409 20.2644i 0.585636 0.810574i
626626 −0.789090 + 0.455581i −0.0315384 + 0.0182087i
627627 0.0102867 0.000539105i 0.000410813 2.15298e-5i
628628 −23.2208 + 28.6753i −0.926612 + 1.14427i
629629 −27.3460 + 19.8680i −1.09036 + 0.792191i
630630 −0.380600 + 0.542075i −0.0151635 + 0.0215968i
631631 −17.6839 12.8481i −0.703983 0.511474i 0.177244 0.984167i 0.443282π-0.443282\pi
−0.881227 + 0.472693i 0.843282π0.843282\pi
632632 1.31749 0.353022i 0.0524071 0.0140424i
633633 −0.809698 + 0.655680i −0.0321826 + 0.0260610i
634634 0.0356460 + 0.167701i 0.00141568 + 0.00666026i
635635 −11.0159 + 46.0192i −0.437154 + 1.82621i
636636 0.616047 0.200166i 0.0244279 0.00793709i
637637 8.60199 + 7.27508i 0.340823 + 0.288249i
638638 0.154838 + 0.303886i 0.00613008 + 0.0120310i
639639 4.24584 19.9751i 0.167963 0.790204i
640640 2.41635 + 1.15057i 0.0955146 + 0.0454804i
641641 21.5459 4.57972i 0.851011 0.180888i 0.238297 0.971192i 0.423411π-0.423411\pi
0.612715 + 0.790304i 0.290078π0.290078\pi
642642 −0.0158342 + 0.0412494i −0.000624924 + 0.00162798i
643643 −7.57933 7.57933i −0.298899 0.298899i 0.541683 0.840583i 0.317787π-0.317787\pi
−0.840583 + 0.541683i 0.817787π0.817787\pi
644644 27.1482 + 12.4359i 1.06979 + 0.490044i
645645 −1.15078 0.212494i −0.0453117 0.00836694i
646646 −0.00117156 0.0111467i −4.60945e−5 0.000438560i
647647 −32.4289 + 12.4483i −1.27491 + 0.489393i −0.899279 0.437376i 0.855908π-0.855908\pi
−0.375633 + 0.926769i 0.622575π0.622575\pi
648648 −0.0697271 1.33047i −0.00273914 0.0522659i
649649 7.08130 12.2652i 0.277965 0.481450i
650650 −0.301117 0.0153802i −0.0118108 0.000603262i
651651 −0.961146 0.323673i −0.0376703 0.0126857i
652652 −3.13647 + 6.15566i −0.122834 + 0.241074i
653653 12.9000 + 10.4462i 0.504817 + 0.408792i 0.847611 0.530618i 0.178040π-0.178040\pi
−0.342794 + 0.939410i 0.611373π0.611373\pi
654654 0.0107775 + 0.00479847i 0.000421435 + 0.000187635i
655655 2.37241 + 3.08753i 0.0926975 + 0.120640i
656656 15.5730 + 34.9775i 0.608023 + 1.36564i
657657 −0.906067 + 0.906067i −0.0353490 + 0.0353490i
658658 0.544414 + 0.450560i 0.0212235 + 0.0175647i
659659 −23.7349 7.71192i −0.924579 0.300414i −0.192235 0.981349i 0.561574π-0.561574\pi
−0.732344 + 0.680935i 0.761574π0.761574\pi
660660 0.350731 0.573195i 0.0136522 0.0223116i
661661 2.27939 + 2.05237i 0.0886581 + 0.0798281i 0.712268 0.701907i 0.247668π-0.247668\pi
−0.623610 + 0.781736i 0.714335π0.714335\pi
662662 0.0746719 + 0.0484925i 0.00290221 + 0.00188472i
663663 −0.0401929 + 0.766926i −0.00156096 + 0.0297849i
664664 −0.196439 0.604578i −0.00762333 0.0234622i
665665 −0.0277536 0.404331i −0.00107624 0.0156793i
666666 −0.267808 + 0.824229i −0.0103774 + 0.0319382i
667667 −34.8766 13.3879i −1.35043 0.518380i
668668 −6.85292 + 25.5754i −0.265147 + 0.989543i
669669 −2.73122 0.287063i −0.105595 0.0110985i
670670 −0.741448 0.0578583i −0.0286446 0.00223526i
671671 6.11692 + 8.41922i 0.236141 + 0.325020i
672672 −0.0601925 + 0.115082i −0.00232198 + 0.00443939i
673673 8.48294 + 4.32228i 0.326993 + 0.166611i 0.609779 0.792572i 0.291258π-0.291258\pi
−0.282785 + 0.959183i 0.591258π0.591258\pi
674674 0.693099 + 0.400161i 0.0266972 + 0.0154136i
675675 −3.27182 + 0.00434165i −0.125933 + 0.000167110i
676676 10.4025 + 18.0176i 0.400095 + 0.692985i
677677 8.74643 5.68000i 0.336153 0.218300i −0.365513 0.930806i 0.619107π-0.619107\pi
0.701666 + 0.712506i 0.252440π0.252440\pi
678678 0.0410781 + 0.00650613i 0.00157760 + 0.000249867i
679679 −32.3017 29.7147i −1.23963 1.14035i
680680 −1.28604 0.697159i −0.0493174 0.0267348i
681681 −1.23529 + 0.549985i −0.0473363 + 0.0210755i
682682 0.174684 + 0.0468065i 0.00668901 + 0.00179231i
683683 6.01135 + 7.42340i 0.230018 + 0.284048i 0.879067 0.476698i 0.158166π-0.158166\pi
−0.649049 + 0.760746i 0.724833π0.724833\pi
684684 0.273746 + 0.304026i 0.0104670 + 0.0116247i
685685 13.4288 + 4.74536i 0.513087 + 0.181311i
686686 −0.261809 0.642635i −0.00999593 0.0245359i
687687 1.43803 0.732711i 0.0548641 0.0279546i
688688 19.0898 + 1.00045i 0.727791 + 0.0381419i
689689 3.19395 3.54724i 0.121680 0.135139i
690690 −0.00945575 0.0508304i −0.000359974 0.00193508i
691691 −17.3929 + 15.6606i −0.661655 + 0.595757i −0.929997 0.367567i 0.880191π-0.880191\pi
0.268342 + 0.963324i 0.413524π0.413524\pi
692692 −20.0338 + 3.17305i −0.761572 + 0.120621i
693693 −9.05942 6.02165i −0.344139 0.228744i
694694 −0.577980 + 0.795521i −0.0219398 + 0.0301976i
695695 −25.1974 41.0573i −0.955793 1.55739i
696696 0.0440524 0.0989432i 0.00166980 0.00375043i
697697 −15.0103 39.1031i −0.568555 1.48114i
698698 0.341101 + 0.525249i 0.0129108 + 0.0198810i
699699 0.132618 0.00501608
700700 −22.7723 13.4328i −0.860712 0.507713i
701701 24.9909 0.943892 0.471946 0.881628i 0.343552π-0.343552\pi
0.471946 + 0.881628i 0.343552π0.343552\pi
702702 0.0214912 + 0.0330935i 0.000811131 + 0.00124903i
703703 −0.190039 0.495069i −0.00716746 0.0186719i
704704 −4.45848 + 10.0139i −0.168035 + 0.377414i
705705 −0.135517 + 1.73664i −0.00510388 + 0.0654058i
706706 0.634328 0.873078i 0.0238733 0.0328587i
707707 −0.657204 + 10.4131i −0.0247167 + 0.391624i
708708 −2.22027 + 0.351657i −0.0834430 + 0.0132161i
709709 −36.0921 + 32.4975i −1.35547 + 1.22047i −0.403233 + 0.915097i 0.632114π0.632114\pi
−0.952234 + 0.305371i 0.901220π0.901220\pi
710710 −0.567740 0.0743612i −0.0213069 0.00279073i
711711 18.2027 20.2161i 0.682654 0.758164i
712712 −1.20452 0.0631263i −0.0451414 0.00236576i
713713 −17.6500 + 8.99310i −0.660996 + 0.336794i
714714 0.0240874 0.0407111i 0.000901447 0.00152358i
715715 0.126340 4.95026i 0.00472487 0.185129i
716716 12.0685 + 13.4034i 0.451022 + 0.500910i
717717 1.76978 + 2.18550i 0.0660937 + 0.0816189i
718718 0.162441 + 0.0435259i 0.00606224 + 0.00162437i
719719 −5.43700 + 2.42071i −0.202766 + 0.0902773i −0.505607 0.862764i 0.668731π-0.668731\pi
0.302841 + 0.953041i 0.402065π0.402065\pi
720720 26.4393 3.49864i 0.985333 0.130387i
721721 6.07237 + 19.3904i 0.226147 + 0.722136i
722722 −0.702956 0.111337i −0.0261613 0.00414354i
723723 1.25551 0.815336i 0.0466928 0.0303227i
724724 15.8380 + 27.4323i 0.588615 + 1.01951i
725725 29.4915 + 14.9774i 1.09529 + 0.556246i
726726 0.0322913 + 0.0186434i 0.00119844 + 0.000691921i
727727 −9.26956 4.72308i −0.343789 0.175169i 0.273567 0.961853i 0.411796π-0.411796\pi
−0.617356 + 0.786684i 0.711796π0.711796\pi
728728 0.0265885 + 0.637396i 0.000985434 + 0.0236235i
729729 −15.4924 21.3235i −0.573793 0.789759i
730730 0.0273353 + 0.0233152i 0.00101173 + 0.000862935i
731731 −20.7975 2.18591i −0.769225 0.0808488i
732732 0.427518 1.59552i 0.0158015 0.0589720i
733733 35.7938 + 13.7400i 1.32208 + 0.507497i 0.914097 0.405494i 0.132901π-0.132901\pi
0.407978 + 0.912992i 0.366234π0.366234\pi
734734 −0.379860 + 1.16909i −0.0140209 + 0.0431519i
735735 0.923684 1.43963i 0.0340706 0.0531017i
736736 0.783879 + 2.41253i 0.0288942 + 0.0889271i
737737 0.639246 12.1975i 0.0235469 0.449302i
738738 −0.900650 0.584889i −0.0331534 0.0215301i
739739 21.5518 + 19.4054i 0.792797 + 0.713838i 0.962389 0.271677i 0.0875782π-0.0875782\pi
−0.169592 + 0.985514i 0.554245π0.554245\pi
740740 −33.6435 8.05349i −1.23676 0.296052i
741741 −0.0114586 0.00372314i −0.000420944 0.000136773i
742742 −0.275589 + 0.102428i −0.0101172 + 0.00376027i
743743 −26.0302 + 26.0302i −0.954956 + 0.954956i −0.999028 0.0440723i 0.985967π-0.985967\pi
0.0440723 + 0.999028i 0.485967π0.485967\pi
744744 −0.0233587 0.0524646i −0.000856373 0.00192345i
745745 42.0936 + 12.4383i 1.54219 + 0.455705i
746746 −1.29145 0.574990i −0.0472833 0.0210519i
747747 −9.85301 7.97881i −0.360503 0.291929i
748748 5.45172 10.6996i 0.199335 0.391216i
749749 −9.11191 + 27.0578i −0.332942 + 0.988669i
750750 0.00368248 + 0.0456290i 0.000134465 + 0.00166614i
751751 3.63171 6.29030i 0.132523 0.229536i −0.792126 0.610358i 0.791026π-0.791026\pi
0.924648 + 0.380822i 0.124359π0.124359\pi
752752 −1.48920 28.4157i −0.0543057 1.03621i
753753 −2.50782 + 0.962662i −0.0913901 + 0.0350814i
754754 −0.0416982 0.396732i −0.00151856 0.0144481i
755755 −14.0554 14.7916i −0.511527 0.538322i
756756 0.324947 + 3.44485i 0.0118182 + 0.125288i
757757 −19.0809 19.0809i −0.693507 0.693507i 0.269495 0.963002i 0.413143π-0.413143\pi
−0.963002 + 0.269495i 0.913143π0.913143\pi
758758 0.0513066 0.133658i 0.00186354 0.00485469i
759759 0.830586 0.176546i 0.0301483 0.00640823i
760760 0.0157865 0.0166576i 0.000572637 0.000604236i
761761 −1.15394 + 5.42884i −0.0418302 + 0.196795i −0.994101 0.108459i 0.965408π-0.965408\pi
0.952271 + 0.305255i 0.0987416π0.0987416\pi
762762 −0.0393365 0.0772023i −0.00142501 0.00279674i
763763 7.08741 + 2.80772i 0.256581 + 0.101646i
764764 42.5511 13.8257i 1.53944 0.500196i
765765 −29.0841 + 2.30839i −1.05154 + 0.0834600i
766766 −0.125330 0.589630i −0.00452834 0.0213042i
767767 −12.8736 + 10.4248i −0.464837 + 0.376418i
768768 1.67704 0.449360i 0.0605148 0.0162149i
769769 −19.1561 13.9177i −0.690787 0.501886i 0.186131 0.982525i 0.440405π-0.440405\pi
−0.876919 + 0.480638i 0.840405π0.840405\pi
770770 −0.148212 + 0.266577i −0.00534119 + 0.00960675i
771771 −1.81130 + 1.31599i −0.0652324 + 0.0473941i
772772 −15.3186 + 18.9169i −0.551330 + 0.680835i
773773 44.3620 2.32491i 1.59559 0.0836213i 0.766316 0.642464i 0.222088π-0.222088\pi
0.829274 + 0.558843i 0.188754π0.188754\pi
774774 −0.464337 + 0.268085i −0.0166902 + 0.00963612i
775775 16.3656 6.30711i 0.587871 0.226558i
776776 2.48536i 0.0892193i
777777 0.602288 2.15551i 0.0216070 0.0773284i
778778 0.0902720 0.569955i 0.00323641 0.0204339i
779779 0.653509 0.0686866i 0.0234144 0.00246095i
780780 −0.623245 + 0.478890i −0.0223157 + 0.0171470i
781781 0.982984 9.35246i 0.0351739 0.334658i
782782 −0.239130 0.892445i −0.00855127 0.0319138i
783783 −0.677181 4.27555i −0.0242005 0.152796i
784784 −11.9067 + 25.2771i −0.425240 + 0.902754i
785785 41.2691 + 1.05327i 1.47296 + 0.0375928i
786786 −0.00697400 0.00148237i −0.000248754 5.28744e-5i
787787 2.46325 3.79307i 0.0878053 0.135208i −0.792039 0.610471i 0.790980π-0.790980\pi
0.879844 + 0.475263i 0.157647π0.157647\pi
788788 14.5259 22.3679i 0.517464 0.796825i
789789 1.36164 + 0.289425i 0.0484756 + 0.0103038i
790790 −0.605439 0.463931i −0.0215405 0.0165059i
791791 26.6960 + 3.09418i 0.949199 + 0.110016i
792792 −0.0963621 0.608406i −0.00342408 0.0216188i
793793 −3.15038 11.7574i −0.111873 0.417517i
794794 0.0458728 0.436451i 0.00162797 0.0154891i
795795 −0.597529 0.410087i −0.0211922 0.0145443i
796796 −36.4522 + 3.83128i −1.29202 + 0.135796i
797797 −6.87517 + 43.4081i −0.243531 + 1.53759i 0.498299 + 0.867005i 0.333958π0.333958\pi
−0.741830 + 0.670588i 0.766042π0.766042\pi
798798 0.000519123 0 0.000530320i 1.83767e−5 0 1.87731e-5i
799799 31.1283i 1.10124i
800800 −0.469881 2.19628i −0.0166128 0.0776503i
801801 −20.8334 + 12.0282i −0.736113 + 0.424995i
802802 0.476950 0.0249959i 0.0168417 0.000882636i
803803 −0.371342 + 0.458569i −0.0131044 + 0.0161825i
804804 −1.56845 + 1.13954i −0.0553148 + 0.0401886i
805805 −7.47374 32.5624i −0.263415 1.14767i
806806 −0.171128 0.124332i −0.00602772 0.00437940i
807807 −2.09777 + 0.562096i −0.0738450 + 0.0197867i
808808 −0.459161 + 0.371821i −0.0161532 + 0.0130806i
809809 3.82574 + 17.9987i 0.134506 + 0.632800i 0.992814 + 0.119666i 0.0381823π0.0381823\pi
−0.858309 + 0.513134i 0.828484π0.828484\pi
810810 −0.566211 + 0.484240i −0.0198946 + 0.0170144i
811811 29.0804 9.44881i 1.02115 0.331793i 0.249866 0.968280i 0.419613π-0.419613\pi
0.771287 + 0.636488i 0.219613π0.219613\pi
812812 12.8836 32.5215i 0.452127 1.14128i
813813 −0.400531 0.786087i −0.0140472 0.0275693i
814814 −0.0829749 + 0.390366i −0.00290827 + 0.0136823i
815815 7.59918 1.41364i 0.266187 0.0495176i
816816 −1.86307 + 0.396008i −0.0652205 + 0.0138631i
817817 0.117572 0.306286i 0.00411333 0.0107156i
818818 0.268156 + 0.268156i 0.00937585 + 0.00937585i
819819 7.36844 + 10.3727i 0.257474 + 0.362453i
820820 20.4294 37.6859i 0.713425 1.31605i
821821 −0.660433 6.28360i −0.0230493 0.219299i −0.999983 0.00575837i 0.998167π-0.998167\pi
0.976934 0.213541i 0.0684996π-0.0684996\pi
822822 −0.0243473 + 0.00934606i −0.000849210 + 0.000325981i
823823 −1.84356 35.1772i −0.0642623 1.22620i −0.820402 0.571788i 0.806250π-0.806250\pi
0.756139 0.654411i 0.227083π-0.227083\pi
824824 −0.575297 + 0.996444i −0.0200414 + 0.0347128i
825825 −0.747607 + 0.0795798i −0.0260283 + 0.00277061i
826826 1.00023 0.201477i 0.0348026 0.00701026i
827827 −13.9609 + 27.3997i −0.485466 + 0.952782i 0.510224 + 0.860042i 0.329563π0.329563\pi
−0.995690 + 0.0927399i 0.970437π0.970437\pi
828828 26.2088 + 21.2235i 0.910818 + 0.737566i
829829 −43.7547 19.4808i −1.51966 0.676598i −0.534025 0.845469i 0.679321π-0.679321\pi
−0.985638 + 0.168871i 0.945988π0.945988\pi
830830 −0.201156 + 0.293100i −0.00698222 + 0.0101736i
831831 0.179959 + 0.404194i 0.00624270 + 0.0140213i
832832 9.06592 9.06592i 0.314304 0.314304i
833833 14.4548 26.9325i 0.500830 0.933157i
834834 0.0838916 + 0.0272580i 0.00290493 + 0.000943869i
835835 27.3612 11.3547i 0.946873 0.392944i
836836 0.140003 + 0.126059i 0.00484211 + 0.00435985i
837837 −1.92506 1.25015i −0.0665398 0.0432115i
838838 −0.00534360 + 0.101962i −0.000184592 + 0.00352222i
839839 4.53318 + 13.9517i 0.156503 + 0.481666i 0.998310 0.0581120i 0.0185080π-0.0185080\pi
−0.841807 + 0.539778i 0.818508π0.818508\pi
840840 0.0954084 0.0166972i 0.00329190 0.000576109i
841841 −4.56193 + 14.0402i −0.157308 + 0.484144i
842842 1.16947 + 0.448919i 0.0403027 + 0.0154708i
843843 0.0363057 0.135495i 0.00125043 0.00466668i
844844 −18.9507 1.99180i −0.652310 0.0685606i
845845 8.89344 21.5110i 0.305944 0.740001i
846846 0.469115 + 0.645681i 0.0161285 + 0.0221990i
847847 21.3499 + 11.1668i 0.733592 + 0.383697i
848848 10.5481 + 5.37452i 0.362223 + 0.184562i
849849 0.0296350 + 0.0171098i 0.00101707 + 0.000587205i
850850 0.129043 + 0.807804i 0.00442613 + 0.0277074i
851851 −21.8570 37.8574i −0.749249 1.29774i
852852 −1.25183 + 0.812951i −0.0428871 + 0.0278512i
853853 23.1114 + 3.66049i 0.791320 + 0.125333i 0.538994 0.842310i 0.318805π-0.318805\pi
0.252326 + 0.967642i 0.418805π0.418805\pi
854854 −0.163695 + 0.731649i −0.00560153 + 0.0250365i
855855 0.0831138 0.450108i 0.00284243 0.0153934i
856856 −1.47696 + 0.657586i −0.0504815 + 0.0224758i
857857 40.5488 + 10.8650i 1.38512 + 0.371142i 0.872979 0.487758i 0.162185π-0.162185\pi
0.512143 + 0.858900i 0.328852π0.328852\pi
858858 0.00570627 + 0.00704666i 0.000194809 + 0.000240569i
859859 −31.3524 34.8204i −1.06973 1.18806i −0.981402 0.191964i 0.938514π-0.938514\pi
−0.0883284 0.996091i 0.528152π-0.528152\pi
860860 −12.1341 17.6302i −0.413771 0.601185i
861861 2.38682 + 1.41220i 0.0813425 + 0.0481276i
862862 1.03977 0.529787i 0.0354146 0.0180446i
863863 43.4268 + 2.27590i 1.47827 + 0.0774726i 0.774326 0.632787i 0.218089π-0.218089\pi
0.703940 + 0.710260i 0.251423π0.251423\pi
864864 −0.196683 + 0.218439i −0.00669130 + 0.00743145i
865865 16.4717 + 15.6103i 0.560056 + 0.530767i
866866 −0.148790 + 0.133971i −0.00505609 + 0.00455252i
867867 0.223142 0.0353423i 0.00757832 0.00120029i
868868 −8.24399 16.6157i −0.279819 0.563972i
869869 7.36326 10.1347i 0.249781 0.343795i
870870 −0.0588838 + 0.0141781i −0.00199635 + 0.000480681i
871871 −5.81078 + 13.0512i −0.196891 + 0.442224i
872872 0.154701 + 0.403009i 0.00523883 + 0.0136476i
873873 −26.9972 41.5720i −0.913715 1.40700i
874874 0.0144949 0.000490297
875875 3.60633 + 29.3597i 0.121916 + 0.992540i
876876 0.0936581 0.00316442
877877 −15.8350 24.3838i −0.534712 0.823384i 0.463314 0.886194i 0.346660π-0.346660\pi
−0.998025 + 0.0628106i 0.979994π0.979994\pi
878878 0.358963 + 0.935130i 0.0121144 + 0.0315591i
879879 0.876460 1.96856i 0.0295623 0.0663980i
880880 11.9401 2.87494i 0.402500 0.0969143i
881881 −3.61462 + 4.97510i −0.121780 + 0.167616i −0.865554 0.500815i 0.833034π-0.833034\pi
0.743774 + 0.668431i 0.233034π0.233034\pi
882882 −0.106053 0.776489i −0.00357098 0.0261458i
883883 −25.5292 + 4.04343i −0.859126 + 0.136072i −0.570428 0.821348i 0.693223π-0.693223\pi
−0.288698 + 0.957420i 0.593223π0.593223\pi
884884 −10.4379 + 9.39833i −0.351065 + 0.316100i
885885 1.82550 + 1.73003i 0.0613635 + 0.0581545i
886886 0.740121 0.821988i 0.0248648 0.0276152i
887887 35.6368 + 1.86765i 1.19657 + 0.0627094i 0.640187 0.768219i 0.278857π-0.278857\pi
0.556379 + 0.830928i 0.312190π0.312190\pi
888888 0.112921 0.0575362i 0.00378938 0.00193079i
889889 −27.4755 48.7838i −0.921499 1.63615i
890890 0.382415 + 0.555627i 0.0128186 + 0.0186247i
891891 −8.18764 9.09329i −0.274296 0.304637i
892892 −31.6085 39.0333i −1.05833 1.30693i
893893 −0.471712 0.126395i −0.0157852 0.00422964i
894894 −0.0734235 + 0.0326903i −0.00245565 + 0.00109333i
895895 3.66419 19.8437i 0.122481 0.663301i
896896 −3.02192 + 0.946356i −0.100955 + 0.0316155i
897897 −0.980964 0.155370i −0.0327534 0.00518764i
898898 −0.524324 + 0.340500i −0.0174969 + 0.0113626i
899899 11.6026 + 20.0963i 0.386968 + 0.670248i
900900 −21.1419 21.0859i −0.704731 0.702863i
901901 −11.2157 6.47536i −0.373648 0.215726i
902902 −0.440628 0.224511i −0.0146713 0.00747540i
903903 1.16923 0.741693i 0.0389096 0.0246820i
904904 0.894504 + 1.23118i 0.0297508 + 0.0409484i
905905 13.5405 32.7511i 0.450101 1.08868i
906906 0.0371580 + 0.00390546i 0.00123449 + 0.000129750i
907907 0.544417 2.03179i 0.0180771 0.0674645i −0.956298 0.292393i 0.905548π-0.905548\pi
0.974375 + 0.224929i 0.0722150π0.0722150\pi
908908 −23.0877 8.86253i −0.766191 0.294113i
909909 −3.64137 + 11.2070i −0.120777 + 0.371712i
910910 0.273580 0.228965i 0.00906909 0.00759011i
911911 7.06918 + 21.7567i 0.234212 + 0.720831i 0.997225 + 0.0744476i 0.0237194π0.0237194\pi
−0.763013 + 0.646383i 0.776281π0.776281\pi
912912 0.00156388 0.0298406i 5.17852e−5 0.000988120i
913913 −4.89648 3.17981i −0.162050 0.105236i
914914 0.295369 + 0.265951i 0.00976992 + 0.00879688i
915915 −1.70692 + 0.708358i −0.0564291 + 0.0234176i
916916 28.0726 + 9.12134i 0.927545 + 0.301378i
917917 −4.54246 0.769224i −0.150005 0.0254020i
918918 0.0757030 0.0757030i 0.00249857 0.00249857i
919919 22.2654 + 50.0090i 0.734468 + 1.64964i 0.759961 + 0.649968i 0.225218π0.225218\pi
−0.0254929 + 0.999675i 0.508116π0.508116\pi
920920 1.07052 1.55983i 0.0352938 0.0514259i
921921 −2.08162 0.926798i −0.0685918 0.0305390i
922922 −0.598095 0.484328i −0.0196972 0.0159505i
923923 −4.99358 + 9.80045i −0.164366 + 0.322586i
924924 0.157004 + 0.779449i 0.00516505 + 0.0256420i
925925 15.7894 + 35.3373i 0.519153 + 1.16188i
926926 0.0544855 0.0943716i 0.00179050 0.00310124i
927927 1.20100 + 22.9164i 0.0394459 + 0.752673i
928928 2.77422 1.06492i 0.0910681 0.0349578i
929929 0.805098 + 7.66000i 0.0264144 + 0.251316i 0.999759 + 0.0219675i 0.00699302π0.00699302\pi
−0.973344 + 0.229349i 0.926340π0.926340\pi
930930 −0.0153054 + 0.0282338i −0.000501885 + 0.000925821i
931931 0.349437 + 0.328404i 0.0114523 + 0.0107630i
932932 1.71506 + 1.71506i 0.0561786 + 0.0561786i
933933 −0.335919 + 0.875098i −0.0109975 + 0.0286494i
934934 −0.268793 + 0.0571336i −0.00879516 + 0.00186947i
935935 −13.2087 + 2.45715i −0.431970 + 0.0803573i
936936 −0.149798 + 0.704744i −0.00489630 + 0.0230353i
937937 5.96599 + 11.7089i 0.194901 + 0.382514i 0.967688 0.252151i 0.0811380π-0.0811380\pi
−0.772787 + 0.634665i 0.781138π0.781138\pi
938938 0.689727 0.546449i 0.0225204 0.0178422i
939939 2.52741 0.821204i 0.0824788 0.0267990i
940940 −24.2113 + 20.7062i −0.789687 + 0.675363i
941941 3.94190 + 18.5452i 0.128502 + 0.604556i 0.994520 + 0.104543i 0.0333380π0.0333380\pi
−0.866018 + 0.500013i 0.833329π0.833329\pi
942942 −0.0587462 + 0.0475717i −0.00191405 + 0.00154997i
943943 52.3224 14.0197i 1.70385 0.456546i
944944 −33.2376 24.1485i −1.08179 0.785967i
945945 2.83465 2.63658i 0.0922112 0.0857680i
946946 −0.199750 + 0.145127i −0.00649443 + 0.00471848i
947947 1.70869 2.11006i 0.0555251 0.0685678i −0.748627 0.662992i 0.769286π-0.769286\pi
0.804152 + 0.594424i 0.202620π0.202620\pi
948948 −1.98564 + 0.104063i −0.0644904 + 0.00337980i
949949 0.597703 0.345084i 0.0194023 0.0112019i
950950 −0.0127653 0.00132456i −0.000414160 4.29744e-5i
951951 0.500039i 0.0162149i
952952 1.67658 0.430118i 0.0543381 0.0139402i
953953 4.71919 29.7958i 0.152870 0.965180i −0.785328 0.619080i 0.787506π-0.787506\pi
0.938197 0.346100i 0.112494π-0.112494\pi
954954 −0.330228 + 0.0347083i −0.0106915 + 0.00112372i
955955 −41.2721 28.3252i −1.33553 0.916582i
956956 −5.37617 + 51.1508i −0.173878 + 1.65434i
957957 −0.257453 0.960828i −0.00832228 0.0310592i
958958 0.0345990 + 0.218450i 0.00111784 + 0.00705779i
959959 −15.4674 + 6.68969i −0.499467 + 0.216021i
960960 −1.54513 1.18399i −0.0498689 0.0382132i
961961 −18.2869 3.88701i −0.589901 0.125387i
962962 0.254232 0.391483i 0.00819676 0.0126219i
963963 −17.5617 + 27.0427i −0.565919 + 0.871439i
964964 26.7808 + 5.69243i 0.862550 + 0.183341i
965965 27.2249 + 0.694834i 0.876401 + 0.0223675i
966966 0.0491053 + 0.0364839i 0.00157994 + 0.00117385i
967967 −7.46599 47.1384i −0.240090 1.51587i −0.753341 0.657631i 0.771559π-0.771559\pi
0.513250 0.858239i 0.328441π-0.328441\pi
968968 0.353121 + 1.31787i 0.0113498 + 0.0423579i
969969 −0.00341695 + 0.0325101i −0.000109768 + 0.00104437i
970970 −1.10208 + 0.846817i −0.0353856 + 0.0271896i
971971 52.3848 5.50587i 1.68111 0.176692i 0.784687 0.619892i 0.212824π-0.212824\pi
0.896422 + 0.443201i 0.146157π0.146157\pi
972972 −0.917586 + 5.79341i −0.0294316 + 0.185824i
973973 54.8960 + 15.3390i 1.75989 + 0.491744i
974974 0.651616i 0.0208791i
975975 0.849711 + 0.226471i 0.0272125 + 0.00725288i
976976 26.1441 15.0943i 0.836853 0.483157i
977977 −42.4430 + 2.22434i −1.35787 + 0.0711631i −0.717316 0.696748i 0.754630π-0.754630\pi
−0.640556 + 0.767911i 0.721296π0.721296\pi
978978 −0.00890711 + 0.0109994i −0.000284818 + 0.000351721i
979979 −8.96219 + 6.51142i −0.286433 + 0.208106i
980980 30.5631 6.67241i 0.976303 0.213142i
981981 6.96531 + 5.06059i 0.222385 + 0.161572i
982982 −0.195699 + 0.0524374i −0.00624500 + 0.00167334i
983983 14.5581 11.7889i 0.464332 0.376008i −0.368416 0.929661i 0.620100π-0.620100\pi
0.832748 + 0.553653i 0.186766π0.186766\pi
984984 0.0326510 + 0.153611i 0.00104088 + 0.00489693i
985985 −29.7462 + 2.36093i −0.947792 + 0.0752256i
986986 −1.02936 + 0.334458i −0.0327814 + 0.0106513i
987987 −1.27991 1.61550i −0.0407400 0.0514220i
988988 −0.100038 0.196335i −0.00318263 0.00624626i
989989 5.62291 26.4537i 0.178798 0.841179i
990990 −0.236952 + 0.250027i −0.00753082 + 0.00794638i
991991 −21.5296 + 4.57626i −0.683911 + 0.145370i −0.536748 0.843743i 0.680347π-0.680347\pi
−0.147163 + 0.989112i 0.547014π0.547014\pi
992992 0.564675 1.47103i 0.0179284 0.0467052i
993993 −0.183622 0.183622i −0.00582705 0.00582705i
994994 0.552324 0.392352i 0.0175186 0.0124446i
995995 28.2479 + 29.7275i 0.895517 + 0.942425i
996996 0.0968659 + 0.921618i 0.00306931 + 0.0292026i
997997 −15.5050 + 5.95182i −0.491049 + 0.188496i −0.591277 0.806469i 0.701376π-0.701376\pi
0.100228 + 0.994964i 0.468043π0.468043\pi
998998 0.00472226 + 0.0901061i 0.000149481 + 0.00285226i
999999 2.53268 4.38674i 0.0801306 0.138790i
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 175.2.x.a.117.10 yes 288
5.2 odd 4 875.2.bb.a.768.9 288
5.3 odd 4 875.2.bb.b.768.10 288
5.4 even 2 875.2.bb.c.607.9 288
7.3 odd 6 inner 175.2.x.a.17.9 yes 288
25.3 odd 20 inner 175.2.x.a.103.9 yes 288
25.4 even 10 875.2.bb.a.257.9 288
25.21 even 5 875.2.bb.b.257.10 288
25.22 odd 20 875.2.bb.c.243.10 288
35.3 even 12 875.2.bb.b.143.10 288
35.17 even 12 875.2.bb.a.143.9 288
35.24 odd 6 875.2.bb.c.857.10 288
175.3 even 60 inner 175.2.x.a.3.10 288
175.122 even 60 875.2.bb.c.493.9 288
175.129 odd 30 875.2.bb.a.507.9 288
175.171 odd 30 875.2.bb.b.507.10 288
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
175.2.x.a.3.10 288 175.3 even 60 inner
175.2.x.a.17.9 yes 288 7.3 odd 6 inner
175.2.x.a.103.9 yes 288 25.3 odd 20 inner
175.2.x.a.117.10 yes 288 1.1 even 1 trivial
875.2.bb.a.143.9 288 35.17 even 12
875.2.bb.a.257.9 288 25.4 even 10
875.2.bb.a.507.9 288 175.129 odd 30
875.2.bb.a.768.9 288 5.2 odd 4
875.2.bb.b.143.10 288 35.3 even 12
875.2.bb.b.257.10 288 25.21 even 5
875.2.bb.b.507.10 288 175.171 odd 30
875.2.bb.b.768.10 288 5.3 odd 4
875.2.bb.c.243.10 288 25.22 odd 20
875.2.bb.c.493.9 288 175.122 even 60
875.2.bb.c.607.9 288 5.4 even 2
875.2.bb.c.857.10 288 35.24 odd 6