Properties

Label 144.3.w.a.29.10
Level $144$
Weight $3$
Character 144.29
Analytic conductor $3.924$
Analytic rank $0$
Dimension $184$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [144,3,Mod(5,144)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(144, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([0, 3, 10]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("144.5");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 144.w (of order \(12\), degree \(4\), 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: \(3.92371580679\)
Analytic rank: \(0\)
Dimension: \(184\)
Relative dimension: \(46\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 29.10
Character \(\chi\) \(=\) 144.29
Dual form 144.3.w.a.5.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.59704 + 1.20393i) q^{2} +(-1.75135 + 2.43573i) q^{3} +(1.10109 - 3.84547i) q^{4} +(-2.49590 + 9.31484i) q^{5} +(-0.135487 - 5.99847i) q^{6} +(7.55275 + 4.36058i) q^{7} +(2.87120 + 7.46701i) q^{8} +(-2.86558 - 8.53161i) q^{9} +O(q^{10})\) \(q+(-1.59704 + 1.20393i) q^{2} +(-1.75135 + 2.43573i) q^{3} +(1.10109 - 3.84547i) q^{4} +(-2.49590 + 9.31484i) q^{5} +(-0.135487 - 5.99847i) q^{6} +(7.55275 + 4.36058i) q^{7} +(2.87120 + 7.46701i) q^{8} +(-2.86558 - 8.53161i) q^{9} +(-7.22838 - 17.8811i) q^{10} +(-8.59716 + 2.30360i) q^{11} +(7.43814 + 9.41669i) q^{12} +(-1.01775 + 3.79829i) q^{13} +(-17.3119 + 2.12897i) q^{14} +(-18.3173 - 22.3928i) q^{15} +(-13.5752 - 8.46840i) q^{16} -20.4214i q^{17} +(14.8480 + 10.1754i) q^{18} +(1.44592 + 1.44592i) q^{19} +(33.0717 + 19.8544i) q^{20} +(-23.8487 + 10.7596i) q^{21} +(10.9566 - 14.0294i) q^{22} +(6.97317 + 12.0779i) q^{23} +(-23.2161 - 6.08384i) q^{24} +(-58.8860 - 33.9979i) q^{25} +(-2.94750 - 7.29133i) q^{26} +(25.7993 + 7.96201i) q^{27} +(25.0847 - 24.2425i) q^{28} +(-8.45427 - 31.5518i) q^{29} +(56.2129 + 13.7096i) q^{30} +(12.0086 + 20.7996i) q^{31} +(31.8756 - 2.81926i) q^{32} +(9.44564 - 24.9748i) q^{33} +(24.5860 + 32.6139i) q^{34} +(-59.4691 + 59.4691i) q^{35} +(-35.9633 + 1.62543i) q^{36} +(-14.6915 + 14.6915i) q^{37} +(-4.04998 - 0.568403i) q^{38} +(-7.46919 - 9.13108i) q^{39} +(-76.7202 + 8.10783i) q^{40} +(29.9984 + 51.9587i) q^{41} +(25.1335 - 45.8958i) q^{42} +(9.90936 + 36.9823i) q^{43} +(-0.607813 + 35.5966i) q^{44} +(86.6228 - 5.39834i) q^{45} +(-25.6774 - 10.8937i) q^{46} +(31.8352 + 18.3801i) q^{47} +(44.4016 - 18.2345i) q^{48} +(13.5294 + 23.4336i) q^{49} +(134.975 - 16.5988i) q^{50} +(49.7411 + 35.7649i) q^{51} +(13.4856 + 8.09597i) q^{52} +(-41.8929 - 41.8929i) q^{53} +(-50.7884 + 18.3450i) q^{54} -85.8307i q^{55} +(-10.8751 + 68.9166i) q^{56} +(-6.05417 + 0.989567i) q^{57} +(51.4881 + 40.2111i) q^{58} +(-15.7167 + 58.6557i) q^{59} +(-106.280 + 45.7819i) q^{60} +(18.9131 - 5.06774i) q^{61} +(-44.2196 - 18.7602i) q^{62} +(15.5598 - 76.9328i) q^{63} +(-47.5124 + 42.8785i) q^{64} +(-32.8403 - 18.9603i) q^{65} +(14.9829 + 51.2577i) q^{66} +(9.28744 - 34.6612i) q^{67} +(-78.5298 - 22.4858i) q^{68} +(-41.6309 - 4.16777i) q^{69} +(23.3778 - 166.571i) q^{70} -22.7508 q^{71} +(55.4780 - 45.8933i) q^{72} +78.0968i q^{73} +(5.77535 - 41.1504i) q^{74} +(185.939 - 83.8886i) q^{75} +(7.15231 - 3.96814i) q^{76} +(-74.9773 - 20.0901i) q^{77} +(22.9218 + 5.59032i) q^{78} +(-9.92252 + 17.1863i) q^{79} +(112.764 - 105.315i) q^{80} +(-64.5769 + 48.8961i) q^{81} +(-110.463 - 46.8642i) q^{82} +(-20.4326 - 76.2556i) q^{83} +(15.1161 + 103.557i) q^{84} +(190.222 + 50.9699i) q^{85} +(-60.3498 - 47.1320i) q^{86} +(91.6580 + 34.6657i) q^{87} +(-41.8852 - 57.5810i) q^{88} -108.510 q^{89} +(-131.841 + 112.909i) q^{90} +(-24.2496 + 24.2496i) q^{91} +(54.1232 - 13.5163i) q^{92} +(-71.6934 - 7.17740i) q^{93} +(-72.9705 + 8.97372i) q^{94} +(-17.0773 + 9.85961i) q^{95} +(-48.9582 + 82.5778i) q^{96} +(5.21912 - 9.03978i) q^{97} +(-49.8195 - 21.1359i) q^{98} +(44.2893 + 66.7465i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.59704 + 1.20393i −0.798521 + 0.601967i
\(3\) −1.75135 + 2.43573i −0.583782 + 0.811911i
\(4\) 1.10109 3.84547i 0.275272 0.961366i
\(5\) −2.49590 + 9.31484i −0.499181 + 1.86297i 0.00604760 + 0.999982i \(0.498075\pi\)
−0.505228 + 0.862986i \(0.668592\pi\)
\(6\) −0.135487 5.99847i −0.0225812 0.999745i
\(7\) 7.55275 + 4.36058i 1.07896 + 0.622941i 0.930617 0.365995i \(-0.119271\pi\)
0.148348 + 0.988935i \(0.452605\pi\)
\(8\) 2.87120 + 7.46701i 0.358900 + 0.933376i
\(9\) −2.86558 8.53161i −0.318398 0.947957i
\(10\) −7.22838 17.8811i −0.722838 1.78811i
\(11\) −8.59716 + 2.30360i −0.781560 + 0.209418i −0.627473 0.778639i \(-0.715911\pi\)
−0.154088 + 0.988057i \(0.549244\pi\)
\(12\) 7.43814 + 9.41669i 0.619845 + 0.784724i
\(13\) −1.01775 + 3.79829i −0.0782884 + 0.292176i −0.993959 0.109754i \(-0.964994\pi\)
0.915670 + 0.401930i \(0.131660\pi\)
\(14\) −17.3119 + 2.12897i −1.23657 + 0.152070i
\(15\) −18.3173 22.3928i −1.22115 1.49286i
\(16\) −13.5752 8.46840i −0.848451 0.529275i
\(17\) 20.4214i 1.20126i −0.799527 0.600630i \(-0.794917\pi\)
0.799527 0.600630i \(-0.205083\pi\)
\(18\) 14.8480 + 10.1754i 0.824886 + 0.565299i
\(19\) 1.44592 + 1.44592i 0.0761009 + 0.0761009i 0.744133 0.668032i \(-0.232863\pi\)
−0.668032 + 0.744133i \(0.732863\pi\)
\(20\) 33.0717 + 19.8544i 1.65358 + 0.992718i
\(21\) −23.8487 + 10.7596i −1.13565 + 0.512362i
\(22\) 10.9566 14.0294i 0.498030 0.637698i
\(23\) 6.97317 + 12.0779i 0.303181 + 0.525125i 0.976855 0.213904i \(-0.0686179\pi\)
−0.673673 + 0.739029i \(0.735285\pi\)
\(24\) −23.2161 6.08384i −0.967337 0.253493i
\(25\) −58.8860 33.9979i −2.35544 1.35991i
\(26\) −2.94750 7.29133i −0.113365 0.280436i
\(27\) 25.7993 + 7.96201i 0.955531 + 0.294889i
\(28\) 25.0847 24.2425i 0.895883 0.865802i
\(29\) −8.45427 31.5518i −0.291527 1.08799i −0.943937 0.330126i \(-0.892909\pi\)
0.652410 0.757866i \(-0.273758\pi\)
\(30\) 56.2129 + 13.7096i 1.87376 + 0.456985i
\(31\) 12.0086 + 20.7996i 0.387375 + 0.670954i 0.992096 0.125484i \(-0.0400484\pi\)
−0.604720 + 0.796438i \(0.706715\pi\)
\(32\) 31.8756 2.81926i 0.996111 0.0881019i
\(33\) 9.44564 24.9748i 0.286232 0.756812i
\(34\) 24.5860 + 32.6139i 0.723118 + 0.959231i
\(35\) −59.4691 + 59.4691i −1.69912 + 1.69912i
\(36\) −35.9633 + 1.62543i −0.998980 + 0.0451508i
\(37\) −14.6915 + 14.6915i −0.397067 + 0.397067i −0.877197 0.480130i \(-0.840589\pi\)
0.480130 + 0.877197i \(0.340589\pi\)
\(38\) −4.04998 0.568403i −0.106578 0.0149580i
\(39\) −7.46919 9.13108i −0.191518 0.234130i
\(40\) −76.7202 + 8.10783i −1.91801 + 0.202696i
\(41\) 29.9984 + 51.9587i 0.731667 + 1.26729i 0.956170 + 0.292812i \(0.0945909\pi\)
−0.224503 + 0.974473i \(0.572076\pi\)
\(42\) 25.1335 45.8958i 0.598417 1.09276i
\(43\) 9.90936 + 36.9823i 0.230450 + 0.860052i 0.980147 + 0.198271i \(0.0635326\pi\)
−0.749697 + 0.661781i \(0.769801\pi\)
\(44\) −0.607813 + 35.5966i −0.0138139 + 0.809013i
\(45\) 86.6228 5.39834i 1.92495 0.119963i
\(46\) −25.6774 10.8937i −0.558205 0.236819i
\(47\) 31.8352 + 18.3801i 0.677344 + 0.391065i 0.798854 0.601525i \(-0.205440\pi\)
−0.121509 + 0.992590i \(0.538773\pi\)
\(48\) 44.4016 18.2345i 0.925034 0.379885i
\(49\) 13.5294 + 23.4336i 0.276110 + 0.478236i
\(50\) 134.975 16.5988i 2.69949 0.331977i
\(51\) 49.7411 + 35.7649i 0.975316 + 0.701273i
\(52\) 13.4856 + 8.09597i 0.259338 + 0.155692i
\(53\) −41.8929 41.8929i −0.790433 0.790433i 0.191132 0.981564i \(-0.438784\pi\)
−0.981564 + 0.191132i \(0.938784\pi\)
\(54\) −50.7884 + 18.3450i −0.940526 + 0.339723i
\(55\) 85.8307i 1.56056i
\(56\) −10.8751 + 68.9166i −0.194197 + 1.23065i
\(57\) −6.05417 + 0.989567i −0.106213 + 0.0173608i
\(58\) 51.4881 + 40.2111i 0.887725 + 0.693295i
\(59\) −15.7167 + 58.6557i −0.266385 + 0.994164i 0.695011 + 0.718999i \(0.255399\pi\)
−0.961397 + 0.275165i \(0.911267\pi\)
\(60\) −106.280 + 45.7819i −1.77133 + 0.763031i
\(61\) 18.9131 5.06774i 0.310050 0.0830777i −0.100439 0.994943i \(-0.532025\pi\)
0.410489 + 0.911866i \(0.365358\pi\)
\(62\) −44.2196 18.7602i −0.713219 0.302584i
\(63\) 15.5598 76.9328i 0.246981 1.22116i
\(64\) −47.5124 + 42.8785i −0.742382 + 0.669977i
\(65\) −32.8403 18.9603i −0.505235 0.291697i
\(66\) 14.9829 + 51.2577i 0.227014 + 0.776632i
\(67\) 9.28744 34.6612i 0.138618 0.517331i −0.861338 0.508032i \(-0.830373\pi\)
0.999957 0.00929939i \(-0.00296013\pi\)
\(68\) −78.5298 22.4858i −1.15485 0.330673i
\(69\) −41.6309 4.16777i −0.603347 0.0604025i
\(70\) 23.3778 166.571i 0.333969 2.37959i
\(71\) −22.7508 −0.320434 −0.160217 0.987082i \(-0.551219\pi\)
−0.160217 + 0.987082i \(0.551219\pi\)
\(72\) 55.4780 45.8933i 0.770528 0.637407i
\(73\) 78.0968i 1.06982i 0.844909 + 0.534910i \(0.179654\pi\)
−0.844909 + 0.534910i \(0.820346\pi\)
\(74\) 5.77535 41.1504i 0.0780452 0.556087i
\(75\) 185.939 83.8886i 2.47919 1.11851i
\(76\) 7.15231 3.96814i 0.0941093 0.0522124i
\(77\) −74.9773 20.0901i −0.973731 0.260910i
\(78\) 22.9218 + 5.59032i 0.293870 + 0.0716707i
\(79\) −9.92252 + 17.1863i −0.125602 + 0.217548i −0.921968 0.387266i \(-0.873419\pi\)
0.796366 + 0.604814i \(0.206753\pi\)
\(80\) 112.764 105.315i 1.40955 1.31643i
\(81\) −64.5769 + 48.8961i −0.797246 + 0.603655i
\(82\) −110.463 46.8642i −1.34712 0.571515i
\(83\) −20.4326 76.2556i −0.246176 0.918742i −0.972789 0.231694i \(-0.925573\pi\)
0.726612 0.687048i \(-0.241094\pi\)
\(84\) 15.1161 + 103.557i 0.179954 + 1.23282i
\(85\) 190.222 + 50.9699i 2.23791 + 0.599646i
\(86\) −60.3498 47.1320i −0.701742 0.548047i
\(87\) 91.6580 + 34.6657i 1.05354 + 0.398456i
\(88\) −41.8852 57.5810i −0.475968 0.654329i
\(89\) −108.510 −1.21922 −0.609608 0.792703i \(-0.708673\pi\)
−0.609608 + 0.792703i \(0.708673\pi\)
\(90\) −131.841 + 112.909i −1.46490 + 1.25455i
\(91\) −24.2496 + 24.2496i −0.266479 + 0.266479i
\(92\) 54.1232 13.5163i 0.588295 0.146916i
\(93\) −71.6934 7.17740i −0.770897 0.0771764i
\(94\) −72.9705 + 8.97372i −0.776282 + 0.0954651i
\(95\) −17.0773 + 9.85961i −0.179762 + 0.103785i
\(96\) −48.9582 + 82.5778i −0.509981 + 0.860186i
\(97\) 5.21912 9.03978i 0.0538054 0.0931936i −0.837868 0.545873i \(-0.816198\pi\)
0.891674 + 0.452679i \(0.149532\pi\)
\(98\) −49.8195 21.1359i −0.508362 0.215673i
\(99\) 44.2893 + 66.7465i 0.447367 + 0.674207i
\(100\) −195.576 + 189.010i −1.95576 + 1.89010i
\(101\) 58.5198 15.6803i 0.579404 0.155251i 0.0427979 0.999084i \(-0.486373\pi\)
0.536606 + 0.843833i \(0.319706\pi\)
\(102\) −122.497 + 2.76684i −1.20095 + 0.0271259i
\(103\) −91.1270 + 52.6122i −0.884728 + 0.510798i −0.872215 0.489124i \(-0.837317\pi\)
−0.0125138 + 0.999922i \(0.503983\pi\)
\(104\) −31.2840 + 3.30611i −0.300808 + 0.0317895i
\(105\) −40.6999 249.002i −0.387618 2.37144i
\(106\) 117.341 + 16.4685i 1.10699 + 0.155363i
\(107\) 91.3826 + 91.3826i 0.854043 + 0.854043i 0.990628 0.136585i \(-0.0436127\pi\)
−0.136585 + 0.990628i \(0.543613\pi\)
\(108\) 59.0250 90.4436i 0.546528 0.837441i
\(109\) 88.9598 + 88.9598i 0.816145 + 0.816145i 0.985547 0.169402i \(-0.0541837\pi\)
−0.169402 + 0.985547i \(0.554184\pi\)
\(110\) 103.335 + 137.075i 0.939405 + 1.24614i
\(111\) −10.0546 61.5143i −0.0905824 0.554183i
\(112\) −65.6030 123.156i −0.585741 1.09960i
\(113\) 14.0397 8.10580i 0.124245 0.0717328i −0.436590 0.899661i \(-0.643814\pi\)
0.560834 + 0.827928i \(0.310480\pi\)
\(114\) 8.47739 8.86919i 0.0743630 0.0777999i
\(115\) −129.908 + 34.8087i −1.12963 + 0.302684i
\(116\) −130.640 2.23068i −1.12621 0.0192300i
\(117\) 35.3220 2.20127i 0.301897 0.0188143i
\(118\) −45.5172 112.598i −0.385739 0.954216i
\(119\) 89.0493 154.238i 0.748313 1.29612i
\(120\) 114.615 201.069i 0.955125 1.67558i
\(121\) −36.1844 + 20.8911i −0.299045 + 0.172654i
\(122\) −24.1037 + 30.8635i −0.197572 + 0.252979i
\(123\) −179.095 17.9296i −1.45606 0.145769i
\(124\) 93.2066 23.2766i 0.751666 0.187715i
\(125\) 293.185 293.185i 2.34548 2.34548i
\(126\) 67.7723 + 141.598i 0.537875 + 1.12379i
\(127\) 74.7359 0.588472 0.294236 0.955733i \(-0.404935\pi\)
0.294236 + 0.955733i \(0.404935\pi\)
\(128\) 24.2565 125.681i 0.189504 0.981880i
\(129\) −107.434 40.6321i −0.832818 0.314978i
\(130\) 75.2743 9.25703i 0.579033 0.0712079i
\(131\) −109.153 29.2475i −0.833229 0.223263i −0.183107 0.983093i \(-0.558616\pi\)
−0.650122 + 0.759830i \(0.725282\pi\)
\(132\) −85.6392 63.8223i −0.648782 0.483503i
\(133\) 4.61561 + 17.2257i 0.0347038 + 0.129516i
\(134\) 26.8973 + 66.5369i 0.200726 + 0.496544i
\(135\) −138.558 + 220.444i −1.02635 + 1.63292i
\(136\) 152.487 58.6339i 1.12123 0.431132i
\(137\) −28.6355 + 49.5981i −0.209018 + 0.362030i −0.951405 0.307941i \(-0.900360\pi\)
0.742388 + 0.669971i \(0.233693\pi\)
\(138\) 71.5041 43.4647i 0.518145 0.314962i
\(139\) 113.758 + 30.4812i 0.818400 + 0.219290i 0.643647 0.765323i \(-0.277421\pi\)
0.174753 + 0.984612i \(0.444087\pi\)
\(140\) 163.206 + 294.167i 1.16575 + 2.10119i
\(141\) −100.523 + 45.3522i −0.712931 + 0.321647i
\(142\) 36.3340 27.3905i 0.255873 0.192891i
\(143\) 34.9990i 0.244748i
\(144\) −33.3482 + 140.085i −0.231585 + 0.972815i
\(145\) 315.001 2.17242
\(146\) −94.0234 124.724i −0.643996 0.854274i
\(147\) −80.7725 8.08633i −0.549473 0.0550090i
\(148\) 40.3189 + 72.6721i 0.272425 + 0.491028i
\(149\) −23.9955 + 89.5524i −0.161044 + 0.601023i 0.837468 + 0.546486i \(0.184035\pi\)
−0.998512 + 0.0545367i \(0.982632\pi\)
\(150\) −195.957 + 357.832i −1.30638 + 2.38555i
\(151\) 44.1519 + 25.4911i 0.292397 + 0.168815i 0.639022 0.769188i \(-0.279339\pi\)
−0.346626 + 0.938004i \(0.612673\pi\)
\(152\) −6.64516 + 14.9482i −0.0437181 + 0.0983433i
\(153\) −174.228 + 58.5192i −1.13874 + 0.382479i
\(154\) 143.929 58.1829i 0.934604 0.377811i
\(155\) −223.717 + 59.9448i −1.44334 + 0.386741i
\(156\) −43.3375 + 18.6684i −0.277804 + 0.119669i
\(157\) −10.8142 + 40.3590i −0.0688800 + 0.257064i −0.991776 0.127986i \(-0.959149\pi\)
0.922896 + 0.385049i \(0.125816\pi\)
\(158\) −4.84449 39.3933i −0.0306613 0.249325i
\(159\) 175.409 28.6710i 1.10320 0.180321i
\(160\) −53.2974 + 303.952i −0.333109 + 1.89970i
\(161\) 121.628i 0.755456i
\(162\) 44.2644 155.835i 0.273237 0.961947i
\(163\) −5.70764 5.70764i −0.0350162 0.0350162i 0.689382 0.724398i \(-0.257882\pi\)
−0.724398 + 0.689382i \(0.757882\pi\)
\(164\) 232.836 58.1466i 1.41973 0.354552i
\(165\) 209.061 + 150.319i 1.26703 + 0.911026i
\(166\) 124.438 + 97.1839i 0.749629 + 0.585445i
\(167\) 76.5669 + 132.618i 0.458485 + 0.794118i 0.998881 0.0472920i \(-0.0150591\pi\)
−0.540397 + 0.841410i \(0.681726\pi\)
\(168\) −148.816 147.185i −0.885811 0.876104i
\(169\) 132.967 + 76.7686i 0.786788 + 0.454252i
\(170\) −365.157 + 147.614i −2.14798 + 0.868316i
\(171\) 8.19261 16.4794i 0.0479100 0.0963707i
\(172\) 153.125 + 2.61462i 0.890262 + 0.0152013i
\(173\) 7.17021 + 26.7596i 0.0414463 + 0.154680i 0.983548 0.180648i \(-0.0578196\pi\)
−0.942101 + 0.335328i \(0.891153\pi\)
\(174\) −188.117 + 54.9875i −1.08113 + 0.316020i
\(175\) −296.501 513.555i −1.69429 2.93460i
\(176\) 136.216 + 41.5323i 0.773955 + 0.235979i
\(177\) −115.344 141.008i −0.651662 0.796656i
\(178\) 173.295 130.639i 0.973570 0.733928i
\(179\) −91.2881 + 91.2881i −0.509989 + 0.509989i −0.914523 0.404534i \(-0.867434\pi\)
0.404534 + 0.914523i \(0.367434\pi\)
\(180\) 74.6203 339.049i 0.414557 1.88361i
\(181\) 21.8441 21.8441i 0.120686 0.120686i −0.644184 0.764870i \(-0.722803\pi\)
0.764870 + 0.644184i \(0.222803\pi\)
\(182\) 9.53272 67.9225i 0.0523776 0.373200i
\(183\) −20.7796 + 54.9425i −0.113550 + 0.300232i
\(184\) −70.1643 + 86.7467i −0.381328 + 0.471450i
\(185\) −100.180 173.517i −0.541514 0.937930i
\(186\) 123.139 74.8515i 0.662035 0.402428i
\(187\) 47.0428 + 175.566i 0.251566 + 0.938857i
\(188\) 105.733 102.183i 0.562411 0.543527i
\(189\) 160.137 + 172.635i 0.847286 + 0.913414i
\(190\) 15.4029 36.3062i 0.0810681 0.191085i
\(191\) 190.893 + 110.212i 0.999439 + 0.577026i 0.908082 0.418792i \(-0.137546\pi\)
0.0913567 + 0.995818i \(0.470880\pi\)
\(192\) −21.2300 190.823i −0.110573 0.993868i
\(193\) −25.2352 43.7086i −0.130752 0.226469i 0.793215 0.608942i \(-0.208406\pi\)
−0.923967 + 0.382473i \(0.875073\pi\)
\(194\) 2.54814 + 20.7204i 0.0131347 + 0.106806i
\(195\) 103.697 46.7840i 0.531779 0.239918i
\(196\) 105.010 26.2243i 0.535766 0.133798i
\(197\) 145.170 + 145.170i 0.736902 + 0.736902i 0.971977 0.235075i \(-0.0755337\pi\)
−0.235075 + 0.971977i \(0.575534\pi\)
\(198\) −151.090 53.2756i −0.763082 0.269069i
\(199\) 43.3365i 0.217771i −0.994054 0.108886i \(-0.965272\pi\)
0.994054 0.108886i \(-0.0347282\pi\)
\(200\) 84.7888 537.317i 0.423944 2.68659i
\(201\) 68.1599 + 83.3254i 0.339104 + 0.414554i
\(202\) −74.5805 + 95.4961i −0.369210 + 0.472753i
\(203\) 73.7311 275.168i 0.363207 1.35551i
\(204\) 192.302 151.897i 0.942658 0.744595i
\(205\) −558.860 + 149.746i −2.72615 + 0.730468i
\(206\) 82.1921 193.735i 0.398991 0.940460i
\(207\) 83.0617 94.1026i 0.401264 0.454602i
\(208\) 45.9816 42.9439i 0.221065 0.206461i
\(209\) −15.7616 9.09996i −0.0754144 0.0435405i
\(210\) 364.781 + 348.666i 1.73705 + 1.66031i
\(211\) 83.9145 313.173i 0.397699 1.48423i −0.419435 0.907785i \(-0.637772\pi\)
0.817134 0.576448i \(-0.195562\pi\)
\(212\) −207.226 + 114.970i −0.977480 + 0.542311i
\(213\) 39.8445 55.4149i 0.187064 0.260164i
\(214\) −255.961 35.9233i −1.19608 0.167866i
\(215\) −369.216 −1.71729
\(216\) 14.6227 + 215.504i 0.0676975 + 0.997706i
\(217\) 209.459i 0.965247i
\(218\) −249.174 34.9709i −1.14300 0.160417i
\(219\) −190.223 136.775i −0.868598 0.624541i
\(220\) −330.059 94.5073i −1.50027 0.429578i
\(221\) 77.5665 + 20.7839i 0.350980 + 0.0940447i
\(222\) 90.1168 + 86.1358i 0.405932 + 0.387999i
\(223\) 182.085 315.380i 0.816523 1.41426i −0.0917056 0.995786i \(-0.529232\pi\)
0.908229 0.418474i \(-0.137435\pi\)
\(224\) 253.042 + 117.703i 1.12965 + 0.525459i
\(225\) −121.314 + 599.817i −0.539173 + 2.66585i
\(226\) −12.6631 + 29.8481i −0.0560314 + 0.132071i
\(227\) 83.0798 + 310.058i 0.365990 + 1.36589i 0.866073 + 0.499917i \(0.166636\pi\)
−0.500083 + 0.865978i \(0.666697\pi\)
\(228\) −2.86083 + 24.3707i −0.0125475 + 0.106889i
\(229\) −376.879 100.984i −1.64576 0.440980i −0.687339 0.726337i \(-0.741221\pi\)
−0.958421 + 0.285357i \(0.907888\pi\)
\(230\) 165.561 211.991i 0.719831 0.921702i
\(231\) 180.245 147.440i 0.780282 0.638268i
\(232\) 211.323 153.720i 0.910877 0.662584i
\(233\) −88.1182 −0.378190 −0.189095 0.981959i \(-0.560555\pi\)
−0.189095 + 0.981959i \(0.560555\pi\)
\(234\) −53.7605 + 46.0409i −0.229746 + 0.196756i
\(235\) −250.665 + 250.665i −1.06666 + 1.06666i
\(236\) 208.253 + 125.023i 0.882427 + 0.529760i
\(237\) −24.4835 54.2677i −0.103306 0.228978i
\(238\) 43.4767 + 353.534i 0.182675 + 1.48544i
\(239\) −361.872 + 208.927i −1.51411 + 0.874171i −0.514245 + 0.857643i \(0.671928\pi\)
−0.999863 + 0.0165275i \(0.994739\pi\)
\(240\) 59.0291 + 459.105i 0.245955 + 1.91294i
\(241\) 20.3206 35.1963i 0.0843179 0.146043i −0.820782 0.571241i \(-0.806462\pi\)
0.905100 + 0.425198i \(0.139796\pi\)
\(242\) 32.6366 76.9276i 0.134862 0.317883i
\(243\) −6.00131 242.926i −0.0246967 0.999695i
\(244\) 1.33714 78.3096i 0.00548008 0.320941i
\(245\) −252.048 + 67.5360i −1.02877 + 0.275657i
\(246\) 307.608 186.984i 1.25044 0.760098i
\(247\) −6.96359 + 4.02043i −0.0281927 + 0.0162771i
\(248\) −120.831 + 149.388i −0.487223 + 0.602372i
\(249\) 221.523 + 83.7815i 0.889650 + 0.336472i
\(250\) −115.254 + 821.204i −0.461015 + 3.28482i
\(251\) −309.467 309.467i −1.23294 1.23294i −0.962831 0.270106i \(-0.912941\pi\)
−0.270106 0.962831i \(-0.587059\pi\)
\(252\) −278.710 144.544i −1.10599 0.573589i
\(253\) −87.7721 87.7721i −0.346925 0.346925i
\(254\) −119.356 + 89.9771i −0.469907 + 0.354240i
\(255\) −457.294 + 374.064i −1.79331 + 1.46692i
\(256\) 112.573 + 229.920i 0.439737 + 0.898127i
\(257\) 352.709 203.637i 1.37241 0.792361i 0.381179 0.924501i \(-0.375518\pi\)
0.991231 + 0.132140i \(0.0421849\pi\)
\(258\) 220.494 64.4516i 0.854629 0.249813i
\(259\) −175.024 + 46.8976i −0.675770 + 0.181072i
\(260\) −109.071 + 105.409i −0.419505 + 0.405420i
\(261\) −244.961 + 162.543i −0.938548 + 0.622769i
\(262\) 209.534 84.7035i 0.799748 0.323296i
\(263\) 193.599 335.324i 0.736119 1.27500i −0.218112 0.975924i \(-0.569990\pi\)
0.954231 0.299072i \(-0.0966769\pi\)
\(264\) 213.607 1.17693i 0.809118 0.00445807i
\(265\) 494.787 285.665i 1.86712 1.07798i
\(266\) −28.1099 21.9533i −0.105676 0.0825311i
\(267\) 190.039 264.302i 0.711756 0.989895i
\(268\) −123.062 73.8796i −0.459187 0.275670i
\(269\) 361.010 361.010i 1.34204 1.34204i 0.448022 0.894023i \(-0.352129\pi\)
0.894023 0.448022i \(-0.147871\pi\)
\(270\) −44.1181 518.873i −0.163400 1.92175i
\(271\) −226.147 −0.834489 −0.417244 0.908794i \(-0.637004\pi\)
−0.417244 + 0.908794i \(0.637004\pi\)
\(272\) −172.937 + 277.225i −0.635796 + 1.01921i
\(273\) −16.5961 101.535i −0.0607916 0.371922i
\(274\) −13.9807 113.685i −0.0510246 0.414910i
\(275\) 584.570 + 156.635i 2.12571 + 0.569582i
\(276\) −61.8663 + 155.501i −0.224153 + 0.563410i
\(277\) −30.8872 115.273i −0.111506 0.416147i 0.887496 0.460816i \(-0.152443\pi\)
−0.999002 + 0.0446692i \(0.985777\pi\)
\(278\) −218.373 + 88.2767i −0.785514 + 0.317542i
\(279\) 143.042 162.056i 0.512696 0.580846i
\(280\) −614.804 273.308i −2.19573 0.976102i
\(281\) 96.3536 166.889i 0.342895 0.593912i −0.642074 0.766643i \(-0.721926\pi\)
0.984969 + 0.172731i \(0.0552590\pi\)
\(282\) 105.939 193.453i 0.375670 0.686002i
\(283\) 130.006 + 34.8350i 0.459384 + 0.123092i 0.481087 0.876673i \(-0.340242\pi\)
−0.0217027 + 0.999764i \(0.506909\pi\)
\(284\) −25.0507 + 87.4875i −0.0882066 + 0.308054i
\(285\) 5.89296 58.8634i 0.0206770 0.206538i
\(286\) 42.1365 + 55.8949i 0.147330 + 0.195437i
\(287\) 523.242i 1.82314i
\(288\) −115.395 263.871i −0.400677 0.916220i
\(289\) −128.034 −0.443025
\(290\) −503.069 + 379.240i −1.73472 + 1.30772i
\(291\) 12.8780 + 28.5441i 0.0442543 + 0.0980899i
\(292\) 300.319 + 85.9915i 1.02849 + 0.294492i
\(293\) 109.866 410.025i 0.374969 1.39940i −0.478421 0.878130i \(-0.658791\pi\)
0.853390 0.521273i \(-0.174543\pi\)
\(294\) 138.733 84.3305i 0.471879 0.286839i
\(295\) −507.141 292.798i −1.71912 0.992535i
\(296\) −151.883 67.5192i −0.513120 0.228105i
\(297\) −240.143 9.01927i −0.808561 0.0303679i
\(298\) −69.4933 171.908i −0.233199 0.576872i
\(299\) −52.9723 + 14.1939i −0.177165 + 0.0474712i
\(300\) −117.855 807.392i −0.392850 2.69131i
\(301\) −86.4212 + 322.528i −0.287114 + 1.07152i
\(302\) −101.202 + 12.4456i −0.335106 + 0.0412105i
\(303\) −64.2953 + 170.000i −0.212196 + 0.561057i
\(304\) −7.38403 31.8732i −0.0242896 0.104846i
\(305\) 188.821i 0.619084i
\(306\) 207.796 303.216i 0.679071 0.990902i
\(307\) 320.318 + 320.318i 1.04338 + 1.04338i 0.999015 + 0.0443664i \(0.0141269\pi\)
0.0443664 + 0.999015i \(0.485873\pi\)
\(308\) −159.812 + 266.202i −0.518872 + 0.864291i
\(309\) 31.4456 314.103i 0.101766 1.01651i
\(310\) 285.116 365.075i 0.919729 1.17766i
\(311\) 174.040 + 301.447i 0.559615 + 0.969281i 0.997528 + 0.0702643i \(0.0223843\pi\)
−0.437914 + 0.899017i \(0.644282\pi\)
\(312\) 46.7363 81.9897i 0.149796 0.262787i
\(313\) 193.014 + 111.437i 0.616657 + 0.356027i 0.775566 0.631266i \(-0.217464\pi\)
−0.158909 + 0.987293i \(0.550798\pi\)
\(314\) −31.3189 77.4745i −0.0997416 0.246734i
\(315\) 677.781 + 336.954i 2.15168 + 1.06969i
\(316\) 55.1638 + 57.0803i 0.174569 + 0.180634i
\(317\) 66.4963 + 248.167i 0.209767 + 0.782863i 0.987943 + 0.154816i \(0.0494785\pi\)
−0.778176 + 0.628046i \(0.783855\pi\)
\(318\) −245.618 + 256.970i −0.772382 + 0.808080i
\(319\) 145.365 + 251.780i 0.455691 + 0.789280i
\(320\) −280.820 549.591i −0.877563 1.71747i
\(321\) −382.626 + 62.5411i −1.19198 + 0.194832i
\(322\) −146.432 194.246i −0.454759 0.603247i
\(323\) 29.5277 29.5277i 0.0914169 0.0914169i
\(324\) 116.923 + 302.167i 0.360874 + 0.932614i
\(325\) 189.065 189.065i 0.581738 0.581738i
\(326\) 15.9870 + 2.24372i 0.0490398 + 0.00688259i
\(327\) −372.482 + 60.8829i −1.13909 + 0.186186i
\(328\) −301.845 + 373.182i −0.920258 + 1.13775i
\(329\) 160.296 + 277.640i 0.487220 + 0.843891i
\(330\) −514.853 + 11.6290i −1.56016 + 0.0352393i
\(331\) −11.8727 44.3094i −0.0358691 0.133865i 0.945669 0.325130i \(-0.105408\pi\)
−0.981539 + 0.191264i \(0.938741\pi\)
\(332\) −315.736 5.39121i −0.951013 0.0162386i
\(333\) 167.441 + 83.2423i 0.502827 + 0.249977i
\(334\) −281.944 119.615i −0.844142 0.358128i
\(335\) 299.683 + 173.022i 0.894576 + 0.516484i
\(336\) 414.867 + 55.8964i 1.23472 + 0.166358i
\(337\) −121.097 209.747i −0.359339 0.622394i 0.628511 0.777800i \(-0.283665\pi\)
−0.987851 + 0.155407i \(0.950331\pi\)
\(338\) −304.778 + 37.4808i −0.901711 + 0.110890i
\(339\) −4.84473 + 48.3929i −0.0142912 + 0.142752i
\(340\) 405.454 675.370i 1.19251 1.98638i
\(341\) −151.154 151.154i −0.443267 0.443267i
\(342\) 6.75615 + 36.1817i 0.0197548 + 0.105794i
\(343\) 191.353i 0.557881i
\(344\) −247.695 + 180.177i −0.720044 + 0.523770i
\(345\) 142.729 377.383i 0.413707 1.09386i
\(346\) −43.6679 34.1037i −0.126208 0.0985657i
\(347\) −5.72586 + 21.3692i −0.0165010 + 0.0615828i −0.973685 0.227896i \(-0.926815\pi\)
0.957184 + 0.289479i \(0.0934820\pi\)
\(348\) 234.229 314.298i 0.673073 0.903154i
\(349\) −49.8135 + 13.3475i −0.142732 + 0.0382450i −0.329478 0.944163i \(-0.606873\pi\)
0.186746 + 0.982408i \(0.440206\pi\)
\(350\) 1091.81 + 463.201i 3.11946 + 1.32343i
\(351\) −56.4993 + 89.8901i −0.160967 + 0.256097i
\(352\) −267.545 + 97.6663i −0.760071 + 0.277461i
\(353\) 543.350 + 313.703i 1.53924 + 0.888678i 0.998884 + 0.0472383i \(0.0150420\pi\)
0.540351 + 0.841439i \(0.318291\pi\)
\(354\) 353.974 + 86.3293i 0.999926 + 0.243868i
\(355\) 56.7838 211.920i 0.159954 0.596958i
\(356\) −119.479 + 417.272i −0.335616 + 1.17211i
\(357\) 219.726 + 487.024i 0.615479 + 1.36421i
\(358\) 35.8862 255.696i 0.100241 0.714234i
\(359\) 619.161 1.72468 0.862341 0.506328i \(-0.168998\pi\)
0.862341 + 0.506328i \(0.168998\pi\)
\(360\) 289.021 + 631.314i 0.802836 + 1.75365i
\(361\) 356.819i 0.988417i
\(362\) −8.58711 + 61.1848i −0.0237213 + 0.169019i
\(363\) 12.4863 124.723i 0.0343976 0.343590i
\(364\) 66.5500 + 119.952i 0.182830 + 0.329538i
\(365\) −727.459 194.922i −1.99304 0.534033i
\(366\) −32.9612 112.763i −0.0900578 0.308095i
\(367\) −83.2812 + 144.247i −0.226924 + 0.393044i −0.956895 0.290434i \(-0.906200\pi\)
0.729971 + 0.683478i \(0.239534\pi\)
\(368\) 7.61807 223.011i 0.0207013 0.606009i
\(369\) 357.329 404.826i 0.968371 1.09709i
\(370\) 368.895 + 156.504i 0.997013 + 0.422984i
\(371\) −133.729 499.085i −0.360456 1.34524i
\(372\) −106.541 + 267.792i −0.286401 + 0.719870i
\(373\) −284.269 76.1698i −0.762117 0.204209i −0.143231 0.989689i \(-0.545749\pi\)
−0.618886 + 0.785481i \(0.712416\pi\)
\(374\) −286.499 223.750i −0.766041 0.598263i
\(375\) 200.652 + 1227.59i 0.535072 + 3.27357i
\(376\) −45.8388 + 290.486i −0.121912 + 0.772570i
\(377\) 128.447 0.340709
\(378\) −463.587 82.9116i −1.22642 0.219343i
\(379\) −126.432 + 126.432i −0.333593 + 0.333593i −0.853949 0.520356i \(-0.825799\pi\)
0.520356 + 0.853949i \(0.325799\pi\)
\(380\) 19.1111 + 76.5267i 0.0502924 + 0.201386i
\(381\) −130.888 + 182.037i −0.343539 + 0.477787i
\(382\) −437.552 + 53.8090i −1.14542 + 0.140861i
\(383\) 630.939 364.273i 1.64736 0.951103i 0.669243 0.743043i \(-0.266618\pi\)
0.978116 0.208060i \(-0.0667149\pi\)
\(384\) 263.643 + 279.192i 0.686570 + 0.727064i
\(385\) 374.272 648.258i 0.972136 1.68379i
\(386\) 92.9238 + 39.4230i 0.240735 + 0.102132i
\(387\) 287.122 190.519i 0.741918 0.492296i
\(388\) −29.0154 30.0235i −0.0747821 0.0773803i
\(389\) 30.6634 8.21624i 0.0788262 0.0211214i −0.219190 0.975682i \(-0.570342\pi\)
0.298017 + 0.954561i \(0.403675\pi\)
\(390\) −109.284 + 199.560i −0.280214 + 0.511693i
\(391\) 246.647 142.402i 0.630812 0.364199i
\(392\) −136.133 + 168.306i −0.347278 + 0.429353i
\(393\) 262.404 214.645i 0.667694 0.546171i
\(394\) −406.617 57.0675i −1.03202 0.144841i
\(395\) −135.322 135.322i −0.342587 0.342587i
\(396\) 305.438 96.8192i 0.771308 0.244493i
\(397\) 113.569 + 113.569i 0.286068 + 0.286068i 0.835523 0.549455i \(-0.185165\pi\)
−0.549455 + 0.835523i \(0.685165\pi\)
\(398\) 52.1742 + 69.2102i 0.131091 + 0.173895i
\(399\) −50.0407 18.9257i −0.125415 0.0474329i
\(400\) 511.483 + 960.198i 1.27871 + 2.40050i
\(401\) −343.971 + 198.592i −0.857783 + 0.495242i −0.863269 0.504743i \(-0.831587\pi\)
0.00548594 + 0.999985i \(0.498254\pi\)
\(402\) −209.172 51.0143i −0.520330 0.126901i
\(403\) −91.2246 + 24.4436i −0.226364 + 0.0606540i
\(404\) 4.13730 242.301i 0.0102408 0.599756i
\(405\) −294.281 723.563i −0.726620 1.78658i
\(406\) 213.533 + 528.223i 0.525942 + 1.30104i
\(407\) 92.4616 160.148i 0.227178 0.393485i
\(408\) −124.241 + 474.105i −0.304511 + 1.16202i
\(409\) −448.224 + 258.782i −1.09590 + 0.632720i −0.935142 0.354274i \(-0.884728\pi\)
−0.160761 + 0.986993i \(0.551395\pi\)
\(410\) 712.239 911.981i 1.73717 2.22434i
\(411\) −70.6570 156.612i −0.171915 0.381050i
\(412\) 101.980 + 408.356i 0.247523 + 0.991157i
\(413\) −374.478 + 374.478i −0.906726 + 0.906726i
\(414\) −19.3598 + 250.286i −0.0467628 + 0.604557i
\(415\) 761.306 1.83447
\(416\) −21.7330 + 123.942i −0.0522427 + 0.297937i
\(417\) −273.473 + 223.700i −0.655810 + 0.536450i
\(418\) 36.1277 4.44289i 0.0864299 0.0106289i
\(419\) −419.976 112.532i −1.00233 0.268573i −0.279909 0.960027i \(-0.590304\pi\)
−0.722421 + 0.691453i \(0.756971\pi\)
\(420\) −1002.34 117.663i −2.38653 0.280150i
\(421\) 159.837 + 596.521i 0.379661 + 1.41692i 0.846413 + 0.532527i \(0.178758\pi\)
−0.466752 + 0.884388i \(0.654576\pi\)
\(422\) 243.025 + 601.178i 0.575888 + 1.42459i
\(423\) 65.5852 324.275i 0.155048 0.766608i
\(424\) 192.532 433.098i 0.454085 1.02146i
\(425\) −694.284 + 1202.54i −1.63361 + 2.82950i
\(426\) 3.08244 + 136.470i 0.00723578 + 0.320352i
\(427\) 164.944 + 44.1966i 0.386286 + 0.103505i
\(428\) 452.029 250.788i 1.05614 0.585954i
\(429\) 85.2482 + 61.2954i 0.198714 + 0.142880i
\(430\) 589.654 444.512i 1.37129 1.03375i
\(431\) 427.020i 0.990765i 0.868675 + 0.495382i \(0.164972\pi\)
−0.868675 + 0.495382i \(0.835028\pi\)
\(432\) −282.806 326.565i −0.654644 0.755938i
\(433\) −598.712 −1.38271 −0.691353 0.722517i \(-0.742985\pi\)
−0.691353 + 0.722517i \(0.742985\pi\)
\(434\) −252.174 334.514i −0.581047 0.770770i
\(435\) −551.675 + 767.257i −1.26822 + 1.76381i
\(436\) 440.044 244.139i 1.00928 0.559952i
\(437\) −7.38099 + 27.5462i −0.0168901 + 0.0630349i
\(438\) 468.462 10.5811i 1.06955 0.0241578i
\(439\) 109.152 + 63.0187i 0.248637 + 0.143551i 0.619140 0.785281i \(-0.287481\pi\)
−0.370503 + 0.928831i \(0.620815\pi\)
\(440\) 640.899 246.437i 1.45659 0.560085i
\(441\) 161.157 182.578i 0.365435 0.414010i
\(442\) −148.899 + 60.1921i −0.336876 + 0.136181i
\(443\) −172.539 + 46.2316i −0.389478 + 0.104360i −0.448244 0.893911i \(-0.647950\pi\)
0.0587654 + 0.998272i \(0.481284\pi\)
\(444\) −247.622 29.0679i −0.557708 0.0654682i
\(445\) 270.831 1010.76i 0.608609 2.27136i
\(446\) 88.8995 + 722.893i 0.199326 + 1.62084i
\(447\) −176.101 215.284i −0.393962 0.481619i
\(448\) −545.825 + 116.669i −1.21836 + 0.260422i
\(449\) 219.897i 0.489748i −0.969555 0.244874i \(-0.921253\pi\)
0.969555 0.244874i \(-0.0787466\pi\)
\(450\) −528.396 1103.99i −1.17421 2.45330i
\(451\) −377.593 377.593i −0.837235 0.837235i
\(452\) −15.7117 62.9142i −0.0347603 0.139191i
\(453\) −139.415 + 62.8984i −0.307759 + 0.138849i
\(454\) −505.971 395.153i −1.11447 0.870382i
\(455\) −165.356 286.405i −0.363420 0.629462i
\(456\) −24.7718 42.3653i −0.0543242 0.0929063i
\(457\) 465.977 + 269.032i 1.01964 + 0.588692i 0.914001 0.405712i \(-0.132977\pi\)
0.105643 + 0.994404i \(0.466310\pi\)
\(458\) 723.471 292.461i 1.57963 0.638561i
\(459\) 162.596 526.859i 0.354239 1.14784i
\(460\) −9.18438 + 537.884i −0.0199660 + 1.16931i
\(461\) −104.571 390.266i −0.226836 0.846564i −0.981661 0.190637i \(-0.938945\pi\)
0.754824 0.655927i \(-0.227722\pi\)
\(462\) −110.351 + 452.471i −0.238856 + 0.979375i
\(463\) 410.209 + 710.503i 0.885980 + 1.53456i 0.844586 + 0.535420i \(0.179847\pi\)
0.0413942 + 0.999143i \(0.486820\pi\)
\(464\) −152.424 + 499.916i −0.328501 + 1.07741i
\(465\) 245.796 649.899i 0.528594 1.39763i
\(466\) 140.729 106.088i 0.301993 0.227658i
\(467\) 66.4642 66.4642i 0.142322 0.142322i −0.632356 0.774678i \(-0.717912\pi\)
0.774678 + 0.632356i \(0.217912\pi\)
\(468\) 30.4277 138.253i 0.0650165 0.295413i
\(469\) 221.289 221.289i 0.471831 0.471831i
\(470\) 98.5385 702.106i 0.209656 1.49384i
\(471\) −79.3644 97.0229i −0.168502 0.205993i
\(472\) −483.108 + 51.0551i −1.02353 + 0.108168i
\(473\) −170.385 295.115i −0.360222 0.623922i
\(474\) 104.436 + 57.1914i 0.220329 + 0.120657i
\(475\) −35.9862 134.302i −0.0757605 0.282742i
\(476\) −495.065 512.266i −1.04005 1.07619i
\(477\) −237.367 + 477.462i −0.497624 + 1.00097i
\(478\) 326.391 769.335i 0.682826 1.60949i
\(479\) −402.738 232.521i −0.840788 0.485429i 0.0167438 0.999860i \(-0.494670\pi\)
−0.857532 + 0.514430i \(0.828003\pi\)
\(480\) −647.004 662.144i −1.34793 1.37947i
\(481\) −40.8502 70.7547i −0.0849277 0.147099i
\(482\) 9.92116 + 80.6747i 0.0205833 + 0.167375i
\(483\) −296.254 213.013i −0.613363 0.441021i
\(484\) 40.4937 + 162.149i 0.0836647 + 0.335019i
\(485\) 71.1777 + 71.1777i 0.146758 + 0.146758i
\(486\) 302.051 + 380.738i 0.621504 + 0.783411i
\(487\) 262.515i 0.539045i 0.962994 + 0.269522i \(0.0868658\pi\)
−0.962994 + 0.269522i \(0.913134\pi\)
\(488\) 92.1440 + 126.674i 0.188820 + 0.259577i
\(489\) 23.8983 3.90624i 0.0488719 0.00798821i
\(490\) 321.222 411.307i 0.655556 0.839402i
\(491\) −77.3859 + 288.808i −0.157609 + 0.588204i 0.841259 + 0.540632i \(0.181815\pi\)
−0.998868 + 0.0475716i \(0.984852\pi\)
\(492\) −266.147 + 668.961i −0.540949 + 1.35968i
\(493\) −644.332 + 172.648i −1.30696 + 0.350199i
\(494\) 6.28082 14.8045i 0.0127142 0.0299686i
\(495\) −732.275 + 245.955i −1.47934 + 0.496879i
\(496\) 13.1192 384.052i 0.0264501 0.774299i
\(497\) −171.831 99.2068i −0.345737 0.199611i
\(498\) −454.649 + 132.896i −0.912949 + 0.266860i
\(499\) −81.8323 + 305.402i −0.163993 + 0.612029i 0.834174 + 0.551501i \(0.185945\pi\)
−0.998167 + 0.0605272i \(0.980722\pi\)
\(500\) −804.610 1450.26i −1.60922 2.90051i
\(501\) −457.116 45.7630i −0.912408 0.0913433i
\(502\) 866.810 + 121.654i 1.72671 + 0.242339i
\(503\) −67.4820 −0.134159 −0.0670795 0.997748i \(-0.521368\pi\)
−0.0670795 + 0.997748i \(0.521368\pi\)
\(504\) 619.133 104.704i 1.22844 0.207747i
\(505\) 584.239i 1.15691i
\(506\) 245.848 + 34.5040i 0.485865 + 0.0681897i
\(507\) −419.859 + 189.424i −0.828124 + 0.373617i
\(508\) 82.2909 287.394i 0.161990 0.565737i
\(509\) 186.107 + 49.8672i 0.365633 + 0.0979710i 0.436957 0.899482i \(-0.356056\pi\)
−0.0713249 + 0.997453i \(0.522723\pi\)
\(510\) 279.969 1147.95i 0.548958 2.25088i
\(511\) −340.548 + 589.846i −0.666434 + 1.15430i
\(512\) −456.592 231.663i −0.891781 0.452467i
\(513\) 25.7913 + 48.8161i 0.0502754 + 0.0951581i
\(514\) −318.127 + 749.855i −0.618923 + 1.45886i
\(515\) −262.630 980.148i −0.509961 1.90320i
\(516\) −274.543 + 368.393i −0.532061 + 0.713939i
\(517\) −316.033 84.6807i −0.611282 0.163792i
\(518\) 223.060 285.615i 0.430617 0.551381i
\(519\) −77.7367 29.4006i −0.149782 0.0566485i
\(520\) 47.2860 299.657i 0.0909347 0.576264i
\(521\) 861.429 1.65341 0.826707 0.562632i \(-0.190211\pi\)
0.826707 + 0.562632i \(0.190211\pi\)
\(522\) 195.523 554.505i 0.374564 1.06227i
\(523\) −9.70560 + 9.70560i −0.0185576 + 0.0185576i −0.716325 0.697767i \(-0.754177\pi\)
0.697767 + 0.716325i \(0.254177\pi\)
\(524\) −232.657 + 387.540i −0.444002 + 0.739580i
\(525\) 1770.16 + 177.215i 3.37173 + 0.337552i
\(526\) 94.5213 + 768.607i 0.179698 + 1.46123i
\(527\) 424.757 245.233i 0.805990 0.465338i
\(528\) −339.723 + 259.049i −0.643415 + 0.490622i
\(529\) 167.250 289.685i 0.316162 0.547609i
\(530\) −446.273 + 1051.91i −0.842025 + 1.98474i
\(531\) 545.465 33.9934i 1.02724 0.0640178i
\(532\) 71.3230 + 1.21784i 0.134066 + 0.00228918i
\(533\) −227.885 + 61.0616i −0.427552 + 0.114562i
\(534\) 14.7017 + 650.895i 0.0275313 + 1.21891i
\(535\) −1079.30 + 623.132i −2.01738 + 1.16473i
\(536\) 285.482 30.1698i 0.532615 0.0562870i
\(537\) −62.4764 382.230i −0.116343 0.711788i
\(538\) −141.916 + 1011.18i −0.263785 + 1.87952i
\(539\) −170.296 170.296i −0.315948 0.315948i
\(540\) 695.147 + 775.547i 1.28731 + 1.43620i
\(541\) −29.9877 29.9877i −0.0554301 0.0554301i 0.678848 0.734278i \(-0.262479\pi\)
−0.734278 + 0.678848i \(0.762479\pi\)
\(542\) 361.166 272.265i 0.666357 0.502335i
\(543\) 14.9498 + 91.4629i 0.0275319 + 0.168440i
\(544\) −57.5733 650.944i −0.105833 1.19659i
\(545\) −1050.68 + 606.611i −1.92786 + 1.11305i
\(546\) 148.746 + 142.175i 0.272428 + 0.260393i
\(547\) 1019.12 273.072i 1.86310 0.499217i 0.863121 0.504997i \(-0.168506\pi\)
0.999983 + 0.00577947i \(0.00183967\pi\)
\(548\) 159.197 + 164.729i 0.290506 + 0.300599i
\(549\) −97.4329 146.837i −0.177473 0.267463i
\(550\) −1122.16 + 453.631i −2.04029 + 0.824783i
\(551\) 33.3971 57.8454i 0.0606117 0.104983i
\(552\) −88.4099 322.825i −0.160163 0.584828i
\(553\) −149.885 + 86.5359i −0.271039 + 0.156485i
\(554\) 188.109 + 146.909i 0.339547 + 0.265179i
\(555\) 598.091 + 59.8763i 1.07764 + 0.107885i
\(556\) 242.472 403.888i 0.436100 0.726418i
\(557\) 78.8086 78.8086i 0.141488 0.141488i −0.632815 0.774303i \(-0.718101\pi\)
0.774303 + 0.632815i \(0.218101\pi\)
\(558\) −33.3399 + 431.023i −0.0597489 + 0.772443i
\(559\) −150.555 −0.269328
\(560\) 1310.91 303.697i 2.34092 0.542317i
\(561\) −510.021 192.893i −0.909127 0.343838i
\(562\) 47.0429 + 382.533i 0.0837062 + 0.680663i
\(563\) 446.283 + 119.581i 0.792688 + 0.212400i 0.632371 0.774666i \(-0.282082\pi\)
0.160317 + 0.987066i \(0.448748\pi\)
\(564\) 63.7152 + 436.496i 0.112970 + 0.773928i
\(565\) 40.4626 + 151.008i 0.0716152 + 0.267272i
\(566\) −249.564 + 100.885i −0.440925 + 0.178243i
\(567\) −700.949 + 87.7070i −1.23624 + 0.154686i
\(568\) −65.3221 169.881i −0.115004 0.299085i
\(569\) 101.327 175.503i 0.178079 0.308441i −0.763144 0.646229i \(-0.776345\pi\)
0.941222 + 0.337788i \(0.109679\pi\)
\(570\) 61.4563 + 101.102i 0.107818 + 0.177372i
\(571\) 372.354 + 99.7721i 0.652109 + 0.174732i 0.569682 0.821865i \(-0.307066\pi\)
0.0824269 + 0.996597i \(0.473733\pi\)
\(572\) −134.588 38.5370i −0.235293 0.0673724i
\(573\) −602.766 + 271.945i −1.05195 + 0.474598i
\(574\) −629.948 835.639i −1.09747 1.45582i
\(575\) 948.292i 1.64920i
\(576\) 501.974 + 282.486i 0.871482 + 0.490427i
\(577\) −297.597 −0.515765 −0.257883 0.966176i \(-0.583025\pi\)
−0.257883 + 0.966176i \(0.583025\pi\)
\(578\) 204.476 154.145i 0.353765 0.266686i
\(579\) 150.658 + 15.0827i 0.260204 + 0.0260496i
\(580\) 346.844 1211.32i 0.598006 2.08849i
\(581\) 178.196 665.038i 0.306706 1.14464i
\(582\) −54.9320 30.0820i −0.0943848 0.0516872i
\(583\) 456.665 + 263.656i 0.783302 + 0.452240i
\(584\) −583.150 + 224.232i −0.998544 + 0.383958i
\(585\) −67.6558 + 334.513i −0.115651 + 0.571817i
\(586\) 318.182 + 787.099i 0.542973 + 1.34317i
\(587\) −516.751 + 138.463i −0.880325 + 0.235882i −0.670547 0.741867i \(-0.733941\pi\)
−0.209778 + 0.977749i \(0.567274\pi\)
\(588\) −120.033 + 301.704i −0.204138 + 0.513102i
\(589\) −12.7110 + 47.4379i −0.0215806 + 0.0805398i
\(590\) 1162.43 142.953i 1.97023 0.242293i
\(591\) −607.836 + 99.3522i −1.02849 + 0.168109i
\(592\) 323.853 75.0265i 0.547049 0.126734i
\(593\) 181.495i 0.306063i 0.988221 + 0.153031i \(0.0489035\pi\)
−0.988221 + 0.153031i \(0.951096\pi\)
\(594\) 394.376 274.711i 0.663933 0.462477i
\(595\) 1214.44 + 1214.44i 2.04108 + 2.04108i
\(596\) 317.949 + 190.879i 0.533472 + 0.320267i
\(597\) 105.556 + 75.8971i 0.176811 + 0.127131i
\(598\) 67.5105 86.4433i 0.112894 0.144554i
\(599\) 18.6182 + 32.2477i 0.0310821 + 0.0538358i 0.881148 0.472841i \(-0.156771\pi\)
−0.850066 + 0.526676i \(0.823438\pi\)
\(600\) 1160.27 + 1147.55i 1.93378 + 1.91258i
\(601\) −583.511 336.890i −0.970901 0.560550i −0.0713901 0.997448i \(-0.522744\pi\)
−0.899511 + 0.436899i \(0.856077\pi\)
\(602\) −250.284 619.137i −0.415755 1.02847i
\(603\) −322.330 + 20.0876i −0.534544 + 0.0333128i
\(604\) 146.640 141.717i 0.242782 0.234630i
\(605\) −104.284 389.194i −0.172371 0.643296i
\(606\) −101.987 348.905i −0.168295 0.575750i
\(607\) −85.4343 147.977i −0.140748 0.243783i 0.787030 0.616914i \(-0.211618\pi\)
−0.927779 + 0.373131i \(0.878284\pi\)
\(608\) 50.1658 + 42.0130i 0.0825096 + 0.0691003i
\(609\) 541.108 + 661.504i 0.888518 + 1.08621i
\(610\) −227.328 301.555i −0.372668 0.494352i
\(611\) −102.213 + 102.213i −0.167288 + 0.167288i
\(612\) 33.1936 + 734.421i 0.0542379 + 1.20003i
\(613\) −357.490 + 357.490i −0.583181 + 0.583181i −0.935776 0.352595i \(-0.885299\pi\)
0.352595 + 0.935776i \(0.385299\pi\)
\(614\) −897.203 125.920i −1.46124 0.205081i
\(615\) 614.015 1623.49i 0.998399 2.63982i
\(616\) −65.2618 617.539i −0.105944 1.00250i
\(617\) −425.433 736.871i −0.689518 1.19428i −0.971994 0.235006i \(-0.924489\pi\)
0.282476 0.959274i \(-0.408844\pi\)
\(618\) 327.939 + 539.494i 0.530646 + 0.872968i
\(619\) −74.1354 276.677i −0.119766 0.446974i 0.879833 0.475283i \(-0.157654\pi\)
−0.999599 + 0.0283089i \(0.990988\pi\)
\(620\) −15.8166 + 926.301i −0.0255107 + 1.49403i
\(621\) 83.7390 + 367.122i 0.134845 + 0.591179i
\(622\) −640.871 271.890i −1.03034 0.437122i
\(623\) −819.551 473.168i −1.31549 0.759499i
\(624\) 24.0702 + 187.208i 0.0385740 + 0.300013i
\(625\) 1149.26 + 1990.58i 1.83882 + 3.18493i
\(626\) −442.413 + 54.4068i −0.706731 + 0.0869119i
\(627\) 49.7691 22.4539i 0.0793765 0.0358116i
\(628\) 143.292 + 86.0243i 0.228172 + 0.136981i
\(629\) 300.020 + 300.020i 0.476980 + 0.476980i
\(630\) −1488.11 + 277.873i −2.36209 + 0.441069i
\(631\) 193.264i 0.306282i −0.988204 0.153141i \(-0.951061\pi\)
0.988204 0.153141i \(-0.0489389\pi\)
\(632\) −156.820 24.7462i −0.248133 0.0391554i
\(633\) 615.843 + 752.868i 0.972895 + 1.18936i
\(634\) −404.974 316.277i −0.638761 0.498859i
\(635\) −186.534 + 696.153i −0.293754 + 1.09630i
\(636\) 82.8875 706.098i 0.130326 1.11022i
\(637\) −102.777 + 27.5390i −0.161345 + 0.0432324i
\(638\) −535.282 227.094i −0.839000 0.355946i
\(639\) 65.1943 + 194.101i 0.102026 + 0.303758i
\(640\) 1110.15 + 539.632i 1.73461 + 0.843174i
\(641\) 844.914 + 487.811i 1.31812 + 0.761016i 0.983426 0.181311i \(-0.0580341\pi\)
0.334693 + 0.942327i \(0.391367\pi\)
\(642\) 535.775 560.537i 0.834540 0.873111i
\(643\) −87.1467 + 325.236i −0.135531 + 0.505810i 0.864464 + 0.502695i \(0.167658\pi\)
−0.999995 + 0.00311486i \(0.999009\pi\)
\(644\) 467.718 + 133.924i 0.726270 + 0.207956i
\(645\) 646.625 899.312i 1.00252 1.39428i
\(646\) −11.6076 + 82.7063i −0.0179684 + 0.128028i
\(647\) 136.600 0.211129 0.105564 0.994412i \(-0.466335\pi\)
0.105564 + 0.994412i \(0.466335\pi\)
\(648\) −550.520 341.806i −0.849569 0.527478i
\(649\) 540.478i 0.832785i
\(650\) −74.3231 + 529.566i −0.114343 + 0.814718i
\(651\) −510.185 366.834i −0.783695 0.563494i
\(652\) −28.2332 + 15.6639i −0.0433024 + 0.0240244i
\(653\) −614.540 164.666i −0.941103 0.252168i −0.244520 0.969644i \(-0.578630\pi\)
−0.696583 + 0.717476i \(0.745297\pi\)
\(654\) 521.570 545.676i 0.797507 0.834366i
\(655\) 544.871 943.744i 0.831864 1.44083i
\(656\) 32.7727 959.388i 0.0499584 1.46248i
\(657\) 666.292 223.793i 1.01414 0.340628i
\(658\) −590.259 250.418i −0.897050 0.380574i
\(659\) 233.363 + 870.921i 0.354116 + 1.32158i 0.881593 + 0.472010i \(0.156471\pi\)
−0.527477 + 0.849569i \(0.676862\pi\)
\(660\) 808.242 638.421i 1.22461 0.967304i
\(661\) 931.114 + 249.491i 1.40864 + 0.377445i 0.881441 0.472294i \(-0.156574\pi\)
0.527204 + 0.849739i \(0.323240\pi\)
\(662\) 72.3067 + 56.4701i 0.109225 + 0.0853022i
\(663\) −186.470 + 152.531i −0.281251 + 0.230062i
\(664\) 510.735 371.516i 0.769179 0.559511i
\(665\) −171.975 −0.258608
\(666\) −367.629 + 68.6469i −0.551996 + 0.103073i
\(667\) 322.126 322.126i 0.482947 0.482947i
\(668\) 594.284 148.411i 0.889647 0.222173i
\(669\) 449.288 + 995.849i 0.671581 + 1.48856i
\(670\) −686.913 + 84.4748i −1.02524 + 0.126082i
\(671\) −150.925 + 87.1364i −0.224925 + 0.129860i
\(672\) −729.856 + 410.204i −1.08610 + 0.610422i
\(673\) 141.447 244.994i 0.210174 0.364033i −0.741595 0.670848i \(-0.765930\pi\)
0.951769 + 0.306816i \(0.0992635\pi\)
\(674\) 445.919 + 189.181i 0.661600 + 0.280684i
\(675\) −1248.53 1345.97i −1.84967 1.99404i
\(676\) 441.619 426.791i 0.653283 0.631348i
\(677\) 630.350 168.902i 0.931094 0.249486i 0.238773 0.971076i \(-0.423255\pi\)
0.692321 + 0.721590i \(0.256588\pi\)
\(678\) −50.5246 83.1183i −0.0745201 0.122593i
\(679\) 78.8374 45.5168i 0.116108 0.0670351i
\(680\) 165.573 + 1566.74i 0.243490 + 2.30402i
\(681\) −900.720 340.659i −1.32264 0.500233i
\(682\) 423.379 + 59.4201i 0.620791 + 0.0871262i
\(683\) −111.182 111.182i −0.162785 0.162785i 0.621014 0.783799i \(-0.286721\pi\)
−0.783799 + 0.621014i \(0.786721\pi\)
\(684\) −54.3502 49.6497i −0.0794593 0.0725873i
\(685\) −390.527 390.527i −0.570112 0.570112i
\(686\) 230.377 + 305.599i 0.335826 + 0.445480i
\(687\) 906.016 741.118i 1.31880 1.07877i
\(688\) 178.659 585.958i 0.259678 0.851683i
\(689\) 201.758 116.485i 0.292827 0.169064i
\(690\) 226.400 + 774.532i 0.328116 + 1.12251i
\(691\) −1237.17 + 331.499i −1.79041 + 0.479739i −0.992416 0.122928i \(-0.960772\pi\)
−0.797993 + 0.602667i \(0.794105\pi\)
\(692\) 110.798 + 1.89188i 0.160113 + 0.00273393i
\(693\) 43.4525 + 697.247i 0.0627020 + 1.00613i
\(694\) −16.5827 41.0211i −0.0238943 0.0591082i
\(695\) −567.856 + 983.555i −0.817059 + 1.41519i
\(696\) 4.31936 + 783.943i 0.00620597 + 1.12636i
\(697\) 1061.07 612.609i 1.52234 0.878923i
\(698\) 63.4848 81.2887i 0.0909525 0.116459i
\(699\) 154.325 214.632i 0.220780 0.307056i
\(700\) −2301.33 + 574.715i −3.28762 + 0.821022i
\(701\) 184.271 184.271i 0.262869 0.262869i −0.563350 0.826219i \(-0.690488\pi\)
0.826219 + 0.563350i \(0.190488\pi\)
\(702\) −17.9899 211.580i −0.0256267 0.301396i
\(703\) −42.4853 −0.0604342
\(704\) 309.697 478.084i 0.439910 0.679096i
\(705\) −171.552 1049.55i −0.243336 1.48873i
\(706\) −1245.43 + 153.160i −1.76407 + 0.216940i
\(707\) 510.361 + 136.751i 0.721868 + 0.193424i
\(708\) −669.246 + 288.289i −0.945263 + 0.407188i
\(709\) 19.8003 + 73.8959i 0.0279271 + 0.104226i 0.978483 0.206329i \(-0.0661518\pi\)
−0.950555 + 0.310555i \(0.899485\pi\)
\(710\) 164.452 + 406.809i 0.231622 + 0.572971i
\(711\) 175.061 + 35.4063i 0.246218 + 0.0497980i
\(712\) −311.555 810.247i −0.437577 1.13799i
\(713\) −167.477 + 290.078i −0.234890 + 0.406841i
\(714\) −937.256 513.262i −1.31268 0.718855i
\(715\) 326.010 + 87.3542i 0.455958 + 0.122174i
\(716\) 250.529 + 451.562i 0.349901 + 0.630673i
\(717\) 124.873 1247.33i 0.174160 1.73965i
\(718\) −988.826 + 745.428i −1.37719 + 1.03820i
\(719\) 357.779i 0.497606i 0.968554 + 0.248803i \(0.0800372\pi\)
−0.968554 + 0.248803i \(0.919963\pi\)
\(720\) −1221.64 660.273i −1.69672 0.917045i
\(721\) −917.680 −1.27279
\(722\) 429.586 + 569.854i 0.594994 + 0.789272i
\(723\) 50.1404 + 111.136i 0.0693505 + 0.153716i
\(724\) −59.9484 108.053i −0.0828017 0.149245i
\(725\) −574.854 + 2145.39i −0.792902 + 2.95915i
\(726\) 130.217 + 214.221i 0.179362 + 0.295070i
\(727\) 973.372 + 561.977i 1.33889 + 0.773008i 0.986643 0.162899i \(-0.0520846\pi\)
0.352246 + 0.935907i \(0.385418\pi\)
\(728\) −250.697 111.446i −0.344364 0.153086i
\(729\) 602.213 + 410.829i 0.826081 + 0.563552i
\(730\) 1396.46 564.514i 1.91295 0.773307i
\(731\) 755.230 202.363i 1.03315 0.276831i
\(732\) 188.399 + 140.404i 0.257376 + 0.191809i
\(733\) −15.6674 + 58.4715i −0.0213743 + 0.0797702i −0.975789 0.218713i \(-0.929814\pi\)
0.954415 + 0.298483i \(0.0964807\pi\)
\(734\) −40.6605 330.634i −0.0553958 0.450455i
\(735\) 276.923 732.200i 0.376766 0.996191i
\(736\) 256.324 + 365.330i 0.348267 + 0.496373i
\(737\) 319.383i 0.433355i
\(738\) −83.2852 + 1076.72i −0.112853 + 1.45898i
\(739\) −983.126 983.126i −1.33035 1.33035i −0.905058 0.425288i \(-0.860173\pi\)
−0.425288 0.905058i \(-0.639827\pi\)
\(740\) −777.561 + 194.182i −1.05076 + 0.262407i
\(741\) 2.40296 24.0026i 0.00324286 0.0323922i
\(742\) 814.436 + 636.058i 1.09762 + 0.857221i
\(743\) −304.062 526.651i −0.409236 0.708817i 0.585569 0.810623i \(-0.300871\pi\)
−0.994804 + 0.101806i \(0.967538\pi\)
\(744\) −152.252 555.943i −0.204640 0.747236i
\(745\) −774.275 447.028i −1.03930 0.600038i
\(746\) 545.694 220.595i 0.731493 0.295704i
\(747\) −592.032 + 392.840i −0.792546 + 0.525890i
\(748\) 726.932 + 12.4124i 0.971834 + 0.0165941i
\(749\) 291.709 + 1088.67i 0.389464 + 1.45350i
\(750\) −1798.38 1718.94i −2.39785 2.29192i
\(751\) −36.5757 63.3510i −0.0487027 0.0843555i 0.840646 0.541584i \(-0.182175\pi\)
−0.889349 + 0.457229i \(0.848842\pi\)
\(752\) −276.520 519.106i −0.367712 0.690301i
\(753\) 1295.76 211.795i 1.72080 0.281269i
\(754\) −205.136 + 154.642i −0.272063 + 0.205095i
\(755\) −347.644 + 347.644i −0.460456 + 0.460456i
\(756\) 840.188 425.715i 1.11136 0.563115i
\(757\) 863.777 863.777i 1.14105 1.14105i 0.152794 0.988258i \(-0.451173\pi\)
0.988258 0.152794i \(-0.0488272\pi\)
\(758\) 49.7015 354.133i 0.0655693 0.467193i
\(759\) 367.509 60.0701i 0.484201 0.0791438i
\(760\) −122.654 99.2078i −0.161387 0.130537i
\(761\) −544.208 942.596i −0.715122 1.23863i −0.962912 0.269815i \(-0.913038\pi\)
0.247790 0.968814i \(-0.420296\pi\)
\(762\) −10.1258 448.301i −0.0132884 0.588322i
\(763\) 283.975 + 1059.81i 0.372182 + 1.38900i
\(764\) 634.007 612.719i 0.829851 0.801988i
\(765\) −110.242 1768.96i −0.144107 2.31237i
\(766\) −569.076 + 1341.37i −0.742919 + 1.75113i
\(767\) −206.796 119.394i −0.269616 0.155663i
\(768\) −757.178 128.474i −0.985909 0.167283i
\(769\) −618.315 1070.95i −0.804050 1.39266i −0.916930 0.399048i \(-0.869341\pi\)
0.112880 0.993609i \(-0.463993\pi\)
\(770\) 182.731 + 1485.89i 0.237314 + 1.92973i
\(771\) −121.711 + 1215.74i −0.157861 + 1.57684i
\(772\) −195.866 + 48.9139i −0.253712 + 0.0633600i
\(773\) 507.475 + 507.475i 0.656501 + 0.656501i 0.954550 0.298049i \(-0.0963360\pi\)
−0.298049 + 0.954550i \(0.596336\pi\)
\(774\) −229.175 + 649.942i −0.296091 + 0.839719i
\(775\) 1633.07i 2.10719i
\(776\) 82.4852 + 13.0162i 0.106295 + 0.0167735i
\(777\) 192.298 508.446i 0.247488 0.654371i
\(778\) −39.0790 + 50.0384i −0.0502300 + 0.0643167i
\(779\) −31.7528 + 118.503i −0.0407610 + 0.152122i
\(780\) −65.7267 450.276i −0.0842650 0.577277i
\(781\) 195.592 52.4088i 0.250439 0.0671048i
\(782\) −222.464 + 524.369i −0.284481 + 0.670549i
\(783\) 33.1009 881.328i 0.0422745 1.12558i
\(784\) 14.7806 432.688i 0.0188528 0.551898i
\(785\) −348.946 201.464i −0.444518 0.256642i
\(786\) −160.651 + 658.714i −0.204391 + 0.838058i
\(787\) −118.586 + 442.568i −0.150681 + 0.562348i 0.848756 + 0.528785i \(0.177352\pi\)
−0.999437 + 0.0335632i \(0.989314\pi\)
\(788\) 718.089 398.400i 0.911281 0.505584i
\(789\) 477.700 + 1058.82i 0.605450 + 1.34198i
\(790\) 379.034 + 53.1963i 0.479789 + 0.0673371i
\(791\) 141.384 0.178741
\(792\) −371.233 + 522.351i −0.468729 + 0.659534i
\(793\) 76.9950i 0.0970933i
\(794\) −318.104 44.6450i −0.400635 0.0562279i
\(795\) −170.738 + 1705.47i −0.214765 + 2.14524i
\(796\) −166.649 47.7173i −0.209358 0.0599463i
\(797\) 1432.08 + 383.725i 1.79684 + 0.481461i 0.993477 0.114031i \(-0.0363763\pi\)
0.803361 + 0.595492i \(0.203043\pi\)
\(798\) 102.702 30.0205i 0.128700 0.0376196i
\(799\) 375.347 650.120i 0.469771 0.813666i
\(800\) −1972.87 917.686i −2.46609 1.14711i
\(801\) 310.945 + 925.768i 0.388196 + 1.15576i
\(802\) 310.245 731.278i 0.386839 0.911818i
\(803\) −179.904 671.411i −0.224040 0.836129i
\(804\) 395.475 170.358i 0.491884 0.211888i
\(805\) −1132.95 303.573i −1.40739 0.377109i
\(806\) 116.261 148.866i 0.144245 0.184697i
\(807\) 247.071 + 1511.58i 0.306159 + 1.87308i
\(808\) 285.107 + 391.946i 0.352855 + 0.485082i
\(809\) −459.616 −0.568129 −0.284065 0.958805i \(-0.591683\pi\)
−0.284065 + 0.958805i \(0.591683\pi\)
\(810\) 1341.10 + 801.266i 1.65568 + 0.989217i
\(811\) 394.415 394.415i 0.486332 0.486332i −0.420815 0.907147i \(-0.638256\pi\)
0.907147 + 0.420815i \(0.138256\pi\)
\(812\) −976.966 586.515i −1.20316 0.722309i
\(813\) 396.061 550.832i 0.487159 0.677531i
\(814\) 45.1427 + 367.081i 0.0554578 + 0.450960i
\(815\) 67.4115 38.9200i 0.0827135 0.0477546i
\(816\) −372.374 906.744i −0.456341 1.11121i
\(817\) −39.1451 + 67.8014i −0.0479133 + 0.0829882i
\(818\) 404.276 952.919i 0.494225 1.16494i
\(819\) 276.377 + 137.399i 0.337457 + 0.167764i
\(820\) −39.5109 + 2313.96i −0.0481841 + 2.82190i
\(821\) −656.567 + 175.926i −0.799716 + 0.214283i −0.635459 0.772134i \(-0.719189\pi\)
−0.164257 + 0.986418i \(0.552522\pi\)
\(822\) 301.392 + 165.049i 0.366657 + 0.200790i
\(823\) −771.538 + 445.447i −0.937470 + 0.541248i −0.889166 0.457584i \(-0.848715\pi\)
−0.0483035 + 0.998833i \(0.515381\pi\)
\(824\) −654.500 529.386i −0.794296 0.642459i
\(825\) −1405.31 + 1149.53i −1.70340 + 1.39338i
\(826\) 147.211 1048.90i 0.178221 1.26986i
\(827\) −564.117 564.117i −0.682125 0.682125i 0.278354 0.960479i \(-0.410211\pi\)
−0.960479 + 0.278354i \(0.910211\pi\)
\(828\) −270.410 423.026i −0.326582 0.510901i
\(829\) 846.986 + 846.986i 1.02170 + 1.02170i 0.999759 + 0.0219367i \(0.00698324\pi\)
0.0219367 + 0.999759i \(0.493017\pi\)
\(830\) −1215.84 + 916.562i −1.46487 + 1.10429i
\(831\) 334.868 + 126.649i 0.402970 + 0.152406i
\(832\) −114.509 224.106i −0.137632 0.269358i
\(833\) 478.547 276.289i 0.574486 0.331680i
\(834\) 167.428 686.501i 0.200753 0.823143i
\(835\) −1426.42 + 382.207i −1.70828 + 0.457733i
\(836\) −52.3485 + 50.5908i −0.0626178 + 0.0605153i
\(837\) 144.209 + 632.228i 0.172292 + 0.755350i
\(838\) 806.201 325.905i 0.962054 0.388908i
\(839\) 548.425 949.899i 0.653665 1.13218i −0.328562 0.944482i \(-0.606564\pi\)
0.982227 0.187698i \(-0.0601026\pi\)
\(840\) 1742.44 1018.84i 2.07433 1.21290i
\(841\) −195.712 + 112.994i −0.232713 + 0.134357i
\(842\) −973.439 760.236i −1.15610 0.902893i
\(843\) 237.749 + 526.972i 0.282028 + 0.625116i
\(844\) −1111.90 667.522i −1.31742 0.790903i
\(845\) −1046.96 + 1046.96i −1.23901 + 1.23901i
\(846\) 285.663 + 596.841i 0.337663 + 0.705486i
\(847\) −364.390 −0.430212
\(848\) 213.939 + 923.471i 0.252287 + 1.08900i
\(849\) −312.534 + 255.651i −0.368120 + 0.301120i
\(850\) −338.972 2756.37i −0.398790 3.24279i
\(851\) −279.888 74.9957i −0.328893 0.0881266i
\(852\) −169.224 214.237i −0.198619 0.251452i
\(853\) 169.181 + 631.393i 0.198337 + 0.740202i 0.991378 + 0.131034i \(0.0418298\pi\)
−0.793041 + 0.609168i \(0.791504\pi\)
\(854\) −316.632 + 127.998i −0.370764 + 0.149880i
\(855\) 133.055 + 117.444i 0.155620 + 0.137361i
\(856\) −419.977 + 944.733i −0.490628 + 1.10366i
\(857\) 26.5621 46.0069i 0.0309943 0.0536837i −0.850112 0.526602i \(-0.823466\pi\)
0.881106 + 0.472918i \(0.156799\pi\)
\(858\) −209.941 + 4.74192i −0.244686 + 0.00552671i
\(859\) −826.689 221.511i −0.962385 0.257870i −0.256775 0.966471i \(-0.582660\pi\)
−0.705610 + 0.708601i \(0.749327\pi\)
\(860\) −406.540 + 1419.81i −0.472721 + 1.65094i
\(861\) −1274.48 916.377i −1.48023 1.06432i
\(862\) −514.103 681.969i −0.596408 0.791147i
\(863\) 509.555i 0.590447i −0.955428 0.295223i \(-0.904606\pi\)
0.955428 0.295223i \(-0.0953940\pi\)
\(864\) 844.816 + 181.059i 0.977796 + 0.209559i
\(865\) −267.157 −0.308852
\(866\) 956.168 720.809i 1.10412 0.832343i
\(867\) 224.232 311.857i 0.258630 0.359696i
\(868\) 805.466 + 230.633i 0.927956 + 0.265706i
\(869\) 45.7151 170.611i 0.0526065 0.196330i
\(870\) −42.6785 1889.52i −0.0490558 2.17186i
\(871\) 122.201 + 70.5528i 0.140300 + 0.0810021i
\(872\) −408.842 + 919.685i −0.468856 + 1.05468i
\(873\) −92.0797 18.6233i −0.105475 0.0213325i
\(874\) −21.3761 52.8787i −0.0244578 0.0605020i
\(875\) 3492.81 935.896i 3.99179 1.06960i
\(876\) −735.414 + 580.895i −0.839514 + 0.663122i
\(877\) 133.688 498.931i 0.152438 0.568907i −0.846873 0.531795i \(-0.821518\pi\)
0.999311 0.0371115i \(-0.0118157\pi\)
\(878\) −250.190 + 30.7677i −0.284955 + 0.0350430i
\(879\) 806.298 + 985.699i 0.917290 + 1.12139i
\(880\) −726.849 + 1165.17i −0.825964 + 1.32406i
\(881\) 57.0033i 0.0647030i −0.999477 0.0323515i \(-0.989700\pi\)
0.999477 0.0323515i \(-0.0102996\pi\)
\(882\) −37.5620 + 485.607i −0.0425873 + 0.550575i
\(883\) 478.007 + 478.007i 0.541344 + 0.541344i 0.923923 0.382579i \(-0.124964\pi\)
−0.382579 + 0.923923i \(0.624964\pi\)
\(884\) 165.331 275.394i 0.187026 0.311532i
\(885\) 1601.36 722.469i 1.80944 0.816349i
\(886\) 219.892 281.559i 0.248185 0.317787i
\(887\) 671.080 + 1162.35i 0.756573 + 1.31042i 0.944588 + 0.328257i \(0.106461\pi\)
−0.188015 + 0.982166i \(0.560206\pi\)
\(888\) 430.459 251.698i 0.484751 0.283444i
\(889\) 564.462 + 325.892i 0.634940 + 0.366583i
\(890\) 784.353 + 1940.28i 0.881296 + 2.18009i
\(891\) 442.541 569.127i 0.496679 0.638751i
\(892\) −1012.29 1047.46i −1.13486 1.17428i
\(893\) 19.4550 + 72.6071i 0.0217861 + 0.0813069i
\(894\) 540.428 + 131.803i 0.604506 + 0.147431i
\(895\) −622.488 1078.18i −0.695517 1.20467i
\(896\) 731.244 843.463i 0.816120 0.941364i
\(897\) 58.2002 153.885i 0.0648832 0.171555i
\(898\) 264.741 + 351.184i 0.294812 + 0.391074i
\(899\) 554.739 554.739i 0.617062 0.617062i
\(900\) 2173.00 + 1126.96i 2.41444 + 1.25218i
\(901\) −855.513 + 855.513i −0.949515 + 0.949515i
\(902\) 1057.63 + 148.435i 1.17254 + 0.164562i
\(903\) −634.239 775.358i −0.702369 0.858646i
\(904\) 100.837 + 81.5609i 0.111545 + 0.0902222i
\(905\) 148.953 + 257.995i 0.164589 + 0.285077i
\(906\) 146.926 268.297i 0.162170 0.296134i
\(907\) −235.273 878.052i −0.259397 0.968083i −0.965591 0.260065i \(-0.916256\pi\)
0.706194 0.708018i \(-0.250411\pi\)
\(908\) 1283.80 + 21.9209i 1.41387 + 0.0241419i
\(909\) −301.472 454.335i −0.331652 0.499818i
\(910\) 608.894 + 258.324i 0.669114 + 0.283872i
\(911\) −1020.95 589.446i −1.12069 0.647031i −0.179114 0.983828i \(-0.557323\pi\)
−0.941577 + 0.336797i \(0.890656\pi\)
\(912\) 90.5666 + 37.8355i 0.0993055 + 0.0414863i
\(913\) 351.325 + 608.513i 0.384803 + 0.666498i
\(914\) −1068.08 + 131.350i −1.16858 + 0.143709i
\(915\) −459.917 330.690i −0.502641 0.361410i
\(916\) −803.310 + 1338.08i −0.876975 + 1.46079i
\(917\) −696.870 696.870i −0.759945 0.759945i
\(918\) 374.631 + 1037.17i 0.408095 + 1.12982i
\(919\) 1362.05i 1.48210i −0.671450 0.741050i \(-0.734328\pi\)
0.671450 0.741050i \(-0.265672\pi\)
\(920\) −632.908 870.081i −0.687944 0.945740i
\(921\) −1341.20 + 219.222i −1.45624 + 0.238026i
\(922\) 636.860 + 497.374i 0.690737 + 0.539452i
\(923\) 23.1546 86.4142i 0.0250863 0.0936232i
\(924\) −368.509 855.471i −0.398819 0.925835i
\(925\) 1364.60 365.644i 1.47524 0.395290i
\(926\) −1510.52 640.839i −1.63123 0.692050i
\(927\) 709.999 + 626.696i 0.765910 + 0.676047i
\(928\) −358.437 981.896i −0.386247 1.05808i
\(929\) −887.320 512.294i −0.955135 0.551447i −0.0604624 0.998170i \(-0.519258\pi\)
−0.894672 + 0.446723i \(0.852591\pi\)
\(930\) 389.888 + 1333.84i 0.419234 + 1.43423i
\(931\) −14.3206 + 53.4454i −0.0153820 + 0.0574064i
\(932\) −97.0259 + 338.856i −0.104105 + 0.363579i
\(933\) −1039.05 104.021i −1.11366 0.111491i
\(934\) −26.1277 + 186.165i −0.0279740 + 0.199320i
\(935\) −1752.79 −1.87464
\(936\) 117.853 + 257.429i 0.125912 + 0.275031i
\(937\) 776.183i 0.828370i −0.910193 0.414185i \(-0.864067\pi\)
0.910193 0.414185i \(-0.135933\pi\)
\(938\) −86.9906 + 619.825i −0.0927405 + 0.660794i
\(939\) −609.463 + 274.966i −0.649056 + 0.292829i
\(940\) 687.919 + 1239.93i 0.731828 + 1.31907i
\(941\) 1601.73 + 429.182i 1.70216 + 0.456092i 0.973481 0.228767i \(-0.0734694\pi\)
0.728676 + 0.684859i \(0.240136\pi\)
\(942\) 243.557 + 59.4003i 0.258553 + 0.0630576i
\(943\) −418.367 + 724.634i −0.443656 + 0.768434i
\(944\) 710.078 663.168i 0.752201 0.702508i
\(945\) −2007.76 + 1060.77i −2.12461 + 1.12251i
\(946\) 627.411 + 266.179i 0.663225 + 0.281374i
\(947\) 190.158 + 709.679i 0.200800 + 0.749397i 0.990689 + 0.136147i \(0.0434718\pi\)
−0.789888 + 0.613251i \(0.789862\pi\)
\(948\) −235.643 + 34.3968i −0.248569 + 0.0362835i
\(949\) −296.635 79.4830i −0.312576 0.0837545i
\(950\) 219.163 + 171.162i 0.230698 + 0.180170i
\(951\) −720.927 272.660i −0.758073 0.286708i
\(952\) 1407.37 + 222.084i 1.47833 + 0.233282i
\(953\) 273.150 0.286621 0.143310 0.989678i \(-0.454225\pi\)
0.143310 + 0.989678i \(0.454225\pi\)
\(954\) −195.748 1048.30i −0.205186 1.09885i
\(955\) −1503.06 + 1503.06i −1.57388 + 1.57388i
\(956\) 404.968 + 1621.61i 0.423607 + 1.69625i
\(957\) −867.855 86.8830i −0.906849 0.0907868i
\(958\) 923.128 113.524i 0.963600 0.118501i
\(959\) −432.553 + 249.735i −0.451046 + 0.260411i
\(960\) 1830.47 + 278.521i 1.90674 + 0.290126i
\(961\) 192.085 332.701i 0.199881 0.346203i
\(962\) 150.423 + 63.8173i 0.156365 + 0.0663381i
\(963\) 517.777 1041.51i 0.537671 1.08152i
\(964\) −112.971 116.896i −0.117190 0.121262i
\(965\) 470.123 125.969i 0.487174 0.130538i
\(966\) 729.584 16.4791i 0.755263 0.0170591i
\(967\) −836.174 + 482.765i −0.864709 + 0.499240i −0.865587 0.500759i \(-0.833054\pi\)
0.000877061 1.00000i \(0.499721\pi\)
\(968\) −259.887 210.207i −0.268478 0.217156i
\(969\) 20.2084 + 123.635i 0.0208549 + 0.127590i
\(970\) −199.367 27.9806i −0.205533 0.0288460i
\(971\) −21.8191 21.8191i −0.0224708 0.0224708i 0.695782 0.718253i \(-0.255058\pi\)
−0.718253 + 0.695782i \(0.755058\pi\)
\(972\) −940.771 244.405i −0.967871 0.251446i
\(973\) 726.267 + 726.267i 0.746420 + 0.746420i
\(974\) −316.050 419.247i −0.324487 0.430439i
\(975\) 129.394 + 791.630i 0.132711 + 0.811928i
\(976\) −299.664 91.3677i −0.307033 0.0936144i
\(977\) 41.6980 24.0744i 0.0426796 0.0246411i −0.478508 0.878083i \(-0.658822\pi\)
0.521188 + 0.853442i \(0.325489\pi\)
\(978\) −33.4638 + 35.0104i −0.0342166 + 0.0357980i
\(979\) 932.880 249.965i 0.952891 0.255326i
\(980\) −17.8196 + 1043.60i −0.0181833 + 1.06490i
\(981\) 504.049 1013.89i 0.513812 1.03353i
\(982\) −224.117 554.406i −0.228225 0.564568i
\(983\) −182.725 + 316.488i −0.185885 + 0.321962i −0.943874 0.330305i \(-0.892848\pi\)
0.757990 + 0.652267i \(0.226182\pi\)
\(984\) −380.337 1388.78i −0.386521 1.41136i
\(985\) −1714.56 + 989.902i −1.74067 + 1.00498i
\(986\) 821.168 1051.46i 0.832828 1.06639i
\(987\) −956.989 95.8065i −0.969594 0.0970684i
\(988\) 7.79290 + 31.2051i 0.00788755 + 0.0315841i
\(989\) −377.568 + 377.568i −0.381767 + 0.381767i
\(990\) 873.361 1274.41i 0.882182 1.28728i
\(991\) 663.813 0.669842 0.334921 0.942246i \(-0.391290\pi\)
0.334921 + 0.942246i \(0.391290\pi\)
\(992\) 441.422 + 629.143i 0.444981 + 0.634216i
\(993\) 128.719 + 48.6824i 0.129626 + 0.0490256i
\(994\) 393.860 48.4359i 0.396238 0.0487283i
\(995\) 403.672 + 108.164i 0.405701 + 0.108707i
\(996\) 566.095 759.607i 0.568368 0.762658i
\(997\) −370.922 1384.30i −0.372038 1.38847i −0.857624 0.514277i \(-0.828060\pi\)
0.485586 0.874189i \(-0.338606\pi\)
\(998\) −236.994 586.261i −0.237469 0.587436i
\(999\) −496.004 + 262.057i −0.496500 + 0.262319i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 144.3.w.a.29.10 yes 184
3.2 odd 2 432.3.x.a.413.37 184
9.4 even 3 432.3.x.a.125.21 184
9.5 odd 6 inner 144.3.w.a.77.26 yes 184
16.5 even 4 inner 144.3.w.a.101.26 yes 184
48.5 odd 4 432.3.x.a.197.21 184
144.5 odd 12 inner 144.3.w.a.5.10 184
144.85 even 12 432.3.x.a.341.37 184
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
144.3.w.a.5.10 184 144.5 odd 12 inner
144.3.w.a.29.10 yes 184 1.1 even 1 trivial
144.3.w.a.77.26 yes 184 9.5 odd 6 inner
144.3.w.a.101.26 yes 184 16.5 even 4 inner
432.3.x.a.125.21 184 9.4 even 3
432.3.x.a.197.21 184 48.5 odd 4
432.3.x.a.341.37 184 144.85 even 12
432.3.x.a.413.37 184 3.2 odd 2