Properties

Label 504.2.cz.b.187.15
Level $504$
Weight $2$
Character 504.187
Analytic conductor $4.024$
Analytic rank $0$
Dimension $180$
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] = [504,2,Mod(187,504)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(504, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 3, 4, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("504.187");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 504.cz (of order \(6\), degree \(2\), 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: \(4.02446026187\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(90\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 187.15
Character \(\chi\) \(=\) 504.187
Dual form 504.2.cz.b.283.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.25541 + 0.651116i) q^{2} +(0.939159 - 1.45533i) q^{3} +(1.15209 - 1.63483i) q^{4} -2.12129 q^{5} +(-0.231438 + 2.43853i) q^{6} +(2.08410 - 1.62989i) q^{7} +(-0.381881 + 2.80253i) q^{8} +(-1.23596 - 2.73357i) q^{9} +O(q^{10})\) \(q+(-1.25541 + 0.651116i) q^{2} +(0.939159 - 1.45533i) q^{3} +(1.15209 - 1.63483i) q^{4} -2.12129 q^{5} +(-0.231438 + 2.43853i) q^{6} +(2.08410 - 1.62989i) q^{7} +(-0.381881 + 2.80253i) q^{8} +(-1.23596 - 2.73357i) q^{9} +(2.66308 - 1.38120i) q^{10} -0.319796 q^{11} +(-1.29722 - 3.21204i) q^{12} +(-1.06055 - 1.83693i) q^{13} +(-1.55514 + 3.40317i) q^{14} +(-1.99222 + 3.08717i) q^{15} +(-1.34536 - 3.76696i) q^{16} +(1.01320 - 0.584972i) q^{17} +(3.33151 + 2.62699i) q^{18} +(0.787333 + 0.454567i) q^{19} +(-2.44392 + 3.46795i) q^{20} +(-0.414731 - 4.56377i) q^{21} +(0.401475 - 0.208225i) q^{22} -2.06660i q^{23} +(3.71995 + 3.18778i) q^{24} -0.500150 q^{25} +(2.52748 + 1.61555i) q^{26} +(-5.13900 - 0.768525i) q^{27} +(-0.263524 - 5.28494i) q^{28} +(-5.24930 - 3.03068i) q^{29} +(0.490947 - 5.17282i) q^{30} +(1.03116 - 1.78602i) q^{31} +(4.14170 + 3.85309i) q^{32} +(-0.300340 + 0.465409i) q^{33} +(-0.891096 + 1.39409i) q^{34} +(-4.42096 + 3.45746i) q^{35} +(-5.89287 - 1.12874i) q^{36} +(-5.78353 - 3.33912i) q^{37} +(-1.28440 - 0.0580211i) q^{38} +(-3.66936 - 0.181717i) q^{39} +(0.810079 - 5.94496i) q^{40} +(1.84041 - 1.06256i) q^{41} +(3.49220 + 5.45935i) q^{42} +(-4.49201 + 7.78040i) q^{43} +(-0.368436 + 0.522814i) q^{44} +(2.62183 + 5.79868i) q^{45} +(1.34560 + 2.59443i) q^{46} +(-1.88311 - 3.26164i) q^{47} +(-6.74567 - 1.57984i) q^{48} +(1.68691 - 6.79370i) q^{49} +(0.627892 - 0.325656i) q^{50} +(0.100230 - 2.02392i) q^{51} +(-4.22493 - 0.382492i) q^{52} +(7.60463 - 4.39054i) q^{53} +(6.95194 - 2.38128i) q^{54} +0.678379 q^{55} +(3.77194 + 6.46316i) q^{56} +(1.40098 - 0.718918i) q^{57} +(8.56333 + 0.386838i) q^{58} +(-8.23918 - 4.75689i) q^{59} +(2.75177 + 6.81366i) q^{60} +(6.35504 + 11.0072i) q^{61} +(-0.131618 + 2.91359i) q^{62} +(-7.03128 - 3.68254i) q^{63} +(-7.70833 - 2.14047i) q^{64} +(2.24973 + 3.89665i) q^{65} +(0.0740132 - 0.779834i) q^{66} +(5.54026 - 9.59600i) q^{67} +(0.210972 - 2.33036i) q^{68} +(-3.00759 - 1.94087i) q^{69} +(3.29889 - 7.21909i) q^{70} -8.62377i q^{71} +(8.13290 - 2.41992i) q^{72} +(12.7272 - 7.34807i) q^{73} +(9.43485 + 0.426207i) q^{74} +(-0.469720 + 0.727882i) q^{75} +(1.65022 - 0.763454i) q^{76} +(-0.666486 + 0.521234i) q^{77} +(4.72486 - 2.16105i) q^{78} +(-0.858019 + 0.495378i) q^{79} +(2.85388 + 7.99080i) q^{80} +(-5.94480 + 6.75717i) q^{81} +(-1.61862 + 2.53227i) q^{82} +(1.84473 + 1.06505i) q^{83} +(-7.93881 - 4.57988i) q^{84} +(-2.14929 + 1.24089i) q^{85} +(0.573363 - 12.6924i) q^{86} +(-9.34056 + 4.79316i) q^{87} +(0.122124 - 0.896239i) q^{88} +(15.0035 + 8.66225i) q^{89} +(-7.06708 - 5.57259i) q^{90} +(-5.20429 - 2.09975i) q^{91} +(-3.37855 - 2.38092i) q^{92} +(-1.63083 - 3.17804i) q^{93} +(4.48778 + 2.86856i) q^{94} +(-1.67016 - 0.964266i) q^{95} +(9.49723 - 2.40887i) q^{96} +(-1.09532 - 0.632385i) q^{97} +(2.30573 + 9.62723i) q^{98} +(0.395256 + 0.874186i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9} + 16 q^{11} - 3 q^{12} + 7 q^{14} - 7 q^{16} - 18 q^{17} - 13 q^{18} - 6 q^{19} - 36 q^{20} - 16 q^{22} - 24 q^{24} + 156 q^{25} - 6 q^{26} + 16 q^{28} - 8 q^{30} + 13 q^{32} - 36 q^{33} + 12 q^{34} - 12 q^{35} + 2 q^{36} + 42 q^{41} + 31 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} + 9 q^{48} + 20 q^{49} + 15 q^{50} - 42 q^{51} - 12 q^{54} - 40 q^{56} - 26 q^{57} - 38 q^{58} + 18 q^{59} - 38 q^{60} - 8 q^{64} - 12 q^{65} - 21 q^{66} - 14 q^{67} - 42 q^{70} + 5 q^{72} + 18 q^{73} - 98 q^{74} - 48 q^{75} + 12 q^{76} - 33 q^{78} - 63 q^{80} + 8 q^{81} - 54 q^{82} - 6 q^{83} - 77 q^{84} + 26 q^{86} - 58 q^{88} - 66 q^{89} + 51 q^{90} + 2 q^{91} - 60 q^{92} + 9 q^{94} - 30 q^{96} + 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(127\) \(253\) \(281\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.25541 + 0.651116i −0.887707 + 0.460409i
\(3\) 0.939159 1.45533i 0.542224 0.840234i
\(4\) 1.15209 1.63483i 0.576047 0.817416i
\(5\) −2.12129 −0.948668 −0.474334 0.880345i \(-0.657311\pi\)
−0.474334 + 0.880345i \(0.657311\pi\)
\(6\) −0.231438 + 2.43853i −0.0944843 + 0.995526i
\(7\) 2.08410 1.62989i 0.787714 0.616041i
\(8\) −0.381881 + 2.80253i −0.135015 + 0.990843i
\(9\) −1.23596 2.73357i −0.411987 0.911190i
\(10\) 2.66308 1.38120i 0.842139 0.436775i
\(11\) −0.319796 −0.0964223 −0.0482111 0.998837i \(-0.515352\pi\)
−0.0482111 + 0.998837i \(0.515352\pi\)
\(12\) −1.29722 3.21204i −0.374475 0.927237i
\(13\) −1.06055 1.83693i −0.294144 0.509473i 0.680641 0.732617i \(-0.261701\pi\)
−0.974785 + 0.223144i \(0.928368\pi\)
\(14\) −1.55514 + 3.40317i −0.415628 + 0.909534i
\(15\) −1.99222 + 3.08717i −0.514390 + 0.797103i
\(16\) −1.34536 3.76696i −0.336339 0.941741i
\(17\) 1.01320 0.584972i 0.245738 0.141877i −0.372073 0.928203i \(-0.621353\pi\)
0.617811 + 0.786327i \(0.288020\pi\)
\(18\) 3.33151 + 2.62699i 0.785244 + 0.619187i
\(19\) 0.787333 + 0.454567i 0.180627 + 0.104285i 0.587587 0.809161i \(-0.300078\pi\)
−0.406960 + 0.913446i \(0.633411\pi\)
\(20\) −2.44392 + 3.46795i −0.546477 + 0.775456i
\(21\) −0.414731 4.56377i −0.0905017 0.995896i
\(22\) 0.401475 0.208225i 0.0855947 0.0443937i
\(23\) 2.06660i 0.430917i −0.976513 0.215458i \(-0.930875\pi\)
0.976513 0.215458i \(-0.0691246\pi\)
\(24\) 3.71995 + 3.18778i 0.759332 + 0.650703i
\(25\) −0.500150 −0.100030
\(26\) 2.52748 + 1.61555i 0.495679 + 0.316836i
\(27\) −5.13900 0.768525i −0.989002 0.147903i
\(28\) −0.263524 5.28494i −0.0498014 0.998759i
\(29\) −5.24930 3.03068i −0.974770 0.562784i −0.0740829 0.997252i \(-0.523603\pi\)
−0.900687 + 0.434468i \(0.856936\pi\)
\(30\) 0.490947 5.17282i 0.0896342 0.944423i
\(31\) 1.03116 1.78602i 0.185202 0.320779i −0.758443 0.651740i \(-0.774039\pi\)
0.943645 + 0.330961i \(0.107373\pi\)
\(32\) 4.14170 + 3.85309i 0.732156 + 0.681137i
\(33\) −0.300340 + 0.465409i −0.0522824 + 0.0810173i
\(34\) −0.891096 + 1.39409i −0.152822 + 0.239085i
\(35\) −4.42096 + 3.45746i −0.747279 + 0.584418i
\(36\) −5.89287 1.12874i −0.982145 0.188123i
\(37\) −5.78353 3.33912i −0.950807 0.548949i −0.0574753 0.998347i \(-0.518305\pi\)
−0.893331 + 0.449398i \(0.851638\pi\)
\(38\) −1.28440 0.0580211i −0.208357 0.00941227i
\(39\) −3.66936 0.181717i −0.587568 0.0290981i
\(40\) 0.810079 5.94496i 0.128085 0.939981i
\(41\) 1.84041 1.06256i 0.287424 0.165944i −0.349355 0.936990i \(-0.613599\pi\)
0.636780 + 0.771046i \(0.280266\pi\)
\(42\) 3.49220 + 5.45935i 0.538858 + 0.842396i
\(43\) −4.49201 + 7.78040i −0.685026 + 1.18650i 0.288403 + 0.957509i \(0.406876\pi\)
−0.973429 + 0.228990i \(0.926458\pi\)
\(44\) −0.368436 + 0.522814i −0.0555438 + 0.0788171i
\(45\) 2.62183 + 5.79868i 0.390839 + 0.864416i
\(46\) 1.34560 + 2.59443i 0.198398 + 0.382528i
\(47\) −1.88311 3.26164i −0.274680 0.475759i 0.695375 0.718647i \(-0.255238\pi\)
−0.970054 + 0.242888i \(0.921905\pi\)
\(48\) −6.74567 1.57984i −0.973654 0.228031i
\(49\) 1.68691 6.79370i 0.240987 0.970528i
\(50\) 0.627892 0.325656i 0.0887973 0.0460547i
\(51\) 0.100230 2.02392i 0.0140351 0.283406i
\(52\) −4.22493 0.382492i −0.585892 0.0530421i
\(53\) 7.60463 4.39054i 1.04458 0.603087i 0.123450 0.992351i \(-0.460604\pi\)
0.921126 + 0.389264i \(0.127271\pi\)
\(54\) 6.95194 2.38128i 0.946040 0.324051i
\(55\) 0.678379 0.0914727
\(56\) 3.77194 + 6.46316i 0.504047 + 0.863676i
\(57\) 1.40098 0.718918i 0.185564 0.0952230i
\(58\) 8.56333 + 0.386838i 1.12442 + 0.0507943i
\(59\) −8.23918 4.75689i −1.07265 0.619295i −0.143746 0.989615i \(-0.545915\pi\)
−0.928904 + 0.370320i \(0.879248\pi\)
\(60\) 2.75177 + 6.81366i 0.355252 + 0.879640i
\(61\) 6.35504 + 11.0072i 0.813679 + 1.40933i 0.910273 + 0.414010i \(0.135872\pi\)
−0.0965935 + 0.995324i \(0.530795\pi\)
\(62\) −0.131618 + 2.91359i −0.0167155 + 0.370027i
\(63\) −7.03128 3.68254i −0.885858 0.463956i
\(64\) −7.70833 2.14047i −0.963542 0.267558i
\(65\) 2.24973 + 3.89665i 0.279045 + 0.483320i
\(66\) 0.0740132 0.779834i 0.00911039 0.0959909i
\(67\) 5.54026 9.59600i 0.676850 1.17234i −0.299075 0.954230i \(-0.596678\pi\)
0.975924 0.218109i \(-0.0699887\pi\)
\(68\) 0.210972 2.33036i 0.0255842 0.282597i
\(69\) −3.00759 1.94087i −0.362071 0.233653i
\(70\) 3.29889 7.21909i 0.394293 0.862846i
\(71\) 8.62377i 1.02345i −0.859148 0.511726i \(-0.829006\pi\)
0.859148 0.511726i \(-0.170994\pi\)
\(72\) 8.13290 2.41992i 0.958471 0.285190i
\(73\) 12.7272 7.34807i 1.48961 0.860026i 0.489680 0.871903i \(-0.337114\pi\)
0.999929 + 0.0118764i \(0.00378045\pi\)
\(74\) 9.43485 + 0.426207i 1.09678 + 0.0495456i
\(75\) −0.469720 + 0.727882i −0.0542386 + 0.0840486i
\(76\) 1.65022 0.763454i 0.189294 0.0875742i
\(77\) −0.666486 + 0.521234i −0.0759532 + 0.0594001i
\(78\) 4.72486 2.16105i 0.534985 0.244691i
\(79\) −0.858019 + 0.495378i −0.0965347 + 0.0557343i −0.547490 0.836812i \(-0.684417\pi\)
0.450955 + 0.892546i \(0.351083\pi\)
\(80\) 2.85388 + 7.99080i 0.319074 + 0.893399i
\(81\) −5.94480 + 6.75717i −0.660533 + 0.750797i
\(82\) −1.61862 + 2.53227i −0.178746 + 0.279643i
\(83\) 1.84473 + 1.06505i 0.202485 + 0.116905i 0.597814 0.801635i \(-0.296036\pi\)
−0.395329 + 0.918540i \(0.629369\pi\)
\(84\) −7.93881 4.57988i −0.866195 0.499706i
\(85\) −2.14929 + 1.24089i −0.233123 + 0.134594i
\(86\) 0.573363 12.6924i 0.0618273 1.36866i
\(87\) −9.34056 + 4.79316i −1.00141 + 0.513881i
\(88\) 0.122124 0.896239i 0.0130185 0.0955394i
\(89\) 15.0035 + 8.66225i 1.59036 + 0.918197i 0.993244 + 0.116045i \(0.0370218\pi\)
0.597120 + 0.802152i \(0.296312\pi\)
\(90\) −7.06708 5.57259i −0.744935 0.587402i
\(91\) −5.20429 2.09975i −0.545557 0.220114i
\(92\) −3.37855 2.38092i −0.352238 0.248229i
\(93\) −1.63083 3.17804i −0.169109 0.329547i
\(94\) 4.48778 + 2.86856i 0.462879 + 0.295870i
\(95\) −1.67016 0.964266i −0.171355 0.0989316i
\(96\) 9.49723 2.40887i 0.969307 0.245855i
\(97\) −1.09532 0.632385i −0.111213 0.0642089i 0.443362 0.896343i \(-0.353786\pi\)
−0.554575 + 0.832134i \(0.687119\pi\)
\(98\) 2.30573 + 9.62723i 0.232914 + 0.972497i
\(99\) 0.395256 + 0.874186i 0.0397247 + 0.0878590i
\(100\) −0.576220 + 0.817661i −0.0576220 + 0.0817661i
\(101\) −0.659945 −0.0656670 −0.0328335 0.999461i \(-0.510453\pi\)
−0.0328335 + 0.999461i \(0.510453\pi\)
\(102\) 1.19198 + 2.60611i 0.118024 + 0.258043i
\(103\) 12.2064 1.20273 0.601367 0.798973i \(-0.294623\pi\)
0.601367 + 0.798973i \(0.294623\pi\)
\(104\) 5.55305 2.27074i 0.544522 0.222664i
\(105\) 0.879762 + 9.68106i 0.0858560 + 0.944774i
\(106\) −6.68816 + 10.4634i −0.649611 + 1.01630i
\(107\) −7.62429 + 13.2057i −0.737068 + 1.27664i 0.216742 + 0.976229i \(0.430457\pi\)
−0.953810 + 0.300410i \(0.902876\pi\)
\(108\) −7.17703 + 7.51600i −0.690610 + 0.723227i
\(109\) 1.61894 0.934694i 0.155066 0.0895274i −0.420459 0.907311i \(-0.638131\pi\)
0.575525 + 0.817784i \(0.304798\pi\)
\(110\) −0.851643 + 0.441704i −0.0812009 + 0.0421148i
\(111\) −10.2912 + 5.28097i −0.976795 + 0.501248i
\(112\) −8.94359 5.65793i −0.845090 0.534624i
\(113\) 9.12680 + 15.8081i 0.858577 + 1.48710i 0.873287 + 0.487207i \(0.161984\pi\)
−0.0147100 + 0.999892i \(0.504683\pi\)
\(114\) −1.29070 + 1.81473i −0.120885 + 0.169965i
\(115\) 4.38386i 0.408797i
\(116\) −11.0023 + 5.09009i −1.02154 + 0.472603i
\(117\) −3.71057 + 5.16947i −0.343042 + 0.477917i
\(118\) 13.4408 + 0.607172i 1.23733 + 0.0558947i
\(119\) 1.15817 2.87055i 0.106169 0.263143i
\(120\) −7.89108 6.76219i −0.720354 0.617301i
\(121\) −10.8977 −0.990703
\(122\) −15.1452 9.68071i −1.37118 0.876450i
\(123\) 0.182062 3.67632i 0.0164160 0.331483i
\(124\) −1.73185 3.74344i −0.155525 0.336171i
\(125\) 11.6674 1.04356
\(126\) 11.2249 + 0.0448975i 0.999992 + 0.00399979i
\(127\) 20.3891i 1.80924i 0.426216 + 0.904621i \(0.359846\pi\)
−0.426216 + 0.904621i \(0.640154\pi\)
\(128\) 11.0708 2.33186i 0.978529 0.206110i
\(129\) 7.10432 + 13.8444i 0.625500 + 1.21893i
\(130\) −5.36150 3.42705i −0.470235 0.300572i
\(131\) 10.0878i 0.881373i −0.897661 0.440686i \(-0.854735\pi\)
0.897661 0.440686i \(-0.145265\pi\)
\(132\) 0.414846 + 1.02720i 0.0361077 + 0.0894063i
\(133\) 2.38177 0.335907i 0.206526 0.0291268i
\(134\) −0.707160 + 15.6542i −0.0610894 + 1.35232i
\(135\) 10.9013 + 1.63026i 0.938234 + 0.140310i
\(136\) 1.25248 + 3.06292i 0.107399 + 0.262643i
\(137\) −1.20102 −0.102610 −0.0513049 0.998683i \(-0.516338\pi\)
−0.0513049 + 0.998683i \(0.516338\pi\)
\(138\) 5.03948 + 0.478292i 0.428989 + 0.0407149i
\(139\) 9.72974 5.61747i 0.825266 0.476467i −0.0269631 0.999636i \(-0.508584\pi\)
0.852229 + 0.523169i \(0.175250\pi\)
\(140\) 0.559010 + 11.2109i 0.0472450 + 0.947490i
\(141\) −6.51530 0.322656i −0.548687 0.0271725i
\(142\) 5.61508 + 10.8263i 0.471207 + 0.908526i
\(143\) 0.339161 + 0.587444i 0.0283620 + 0.0491245i
\(144\) −8.63445 + 8.33345i −0.719537 + 0.694454i
\(145\) 11.1353 + 6.42894i 0.924733 + 0.533895i
\(146\) −11.1934 + 17.5117i −0.926373 + 1.44928i
\(147\) −8.30279 8.83537i −0.684802 0.728729i
\(148\) −12.1221 + 5.60812i −0.996429 + 0.460985i
\(149\) 12.7015i 1.04055i −0.853999 0.520275i \(-0.825830\pi\)
0.853999 0.520275i \(-0.174170\pi\)
\(150\) 0.115754 1.21963i 0.00945126 0.0995825i
\(151\) 9.13537i 0.743426i 0.928348 + 0.371713i \(0.121229\pi\)
−0.928348 + 0.371713i \(0.878771\pi\)
\(152\) −1.57461 + 2.03293i −0.127717 + 0.164893i
\(153\) −2.85134 2.04665i −0.230517 0.165462i
\(154\) 0.497328 1.08832i 0.0400758 0.0876994i
\(155\) −2.18739 + 3.78866i −0.175695 + 0.304313i
\(156\) −4.52453 + 5.78944i −0.362252 + 0.463526i
\(157\) −1.91326 + 3.31386i −0.152695 + 0.264475i −0.932217 0.361899i \(-0.882128\pi\)
0.779523 + 0.626374i \(0.215462\pi\)
\(158\) 0.754615 1.18057i 0.0600339 0.0939212i
\(159\) 0.752284 15.1906i 0.0596600 1.20470i
\(160\) −8.78573 8.17350i −0.694573 0.646172i
\(161\) −3.36834 4.30700i −0.265462 0.339439i
\(162\) 3.06344 12.3538i 0.240686 0.970603i
\(163\) −8.01382 + 13.8803i −0.627690 + 1.08719i 0.360323 + 0.932827i \(0.382666\pi\)
−0.988014 + 0.154364i \(0.950667\pi\)
\(164\) 0.383217 4.23294i 0.0299242 0.330537i
\(165\) 0.637106 0.987265i 0.0495986 0.0768585i
\(166\) −3.00936 0.135944i −0.233572 0.0105513i
\(167\) 6.76985 + 11.7257i 0.523867 + 0.907364i 0.999614 + 0.0277818i \(0.00884437\pi\)
−0.475747 + 0.879582i \(0.657822\pi\)
\(168\) 12.9485 + 0.580524i 0.998996 + 0.0447884i
\(169\) 4.25046 7.36201i 0.326959 0.566309i
\(170\) 1.89027 2.95726i 0.144977 0.226812i
\(171\) 0.269477 2.71406i 0.0206074 0.207549i
\(172\) 7.54442 + 16.3074i 0.575257 + 1.24343i
\(173\) 8.87376 + 15.3698i 0.674659 + 1.16854i 0.976568 + 0.215207i \(0.0690427\pi\)
−0.301909 + 0.953337i \(0.597624\pi\)
\(174\) 8.60530 12.0992i 0.652366 0.917235i
\(175\) −1.04236 + 0.815190i −0.0787950 + 0.0616226i
\(176\) 0.430240 + 1.20466i 0.0324306 + 0.0908048i
\(177\) −14.6607 + 7.52323i −1.10197 + 0.565481i
\(178\) −24.4756 1.10565i −1.83452 0.0828722i
\(179\) −10.1442 17.5702i −0.758211 1.31326i −0.943762 0.330625i \(-0.892741\pi\)
0.185552 0.982634i \(-0.440593\pi\)
\(180\) 12.5005 + 2.39438i 0.931729 + 0.178466i
\(181\) 13.9203 1.03469 0.517344 0.855777i \(-0.326921\pi\)
0.517344 + 0.855777i \(0.326921\pi\)
\(182\) 7.90068 0.752552i 0.585637 0.0557829i
\(183\) 21.9875 + 1.08889i 1.62537 + 0.0804928i
\(184\) 5.79172 + 0.789198i 0.426971 + 0.0581804i
\(185\) 12.2685 + 7.08323i 0.901999 + 0.520770i
\(186\) 4.11662 + 2.92787i 0.301845 + 0.214682i
\(187\) −0.324018 + 0.187072i −0.0236946 + 0.0136801i
\(188\) −7.50175 0.679150i −0.547122 0.0495321i
\(189\) −11.9628 + 6.77434i −0.870165 + 0.492761i
\(190\) 2.72458 + 0.123079i 0.197662 + 0.00892911i
\(191\) 13.7728 7.95172i 0.996563 0.575366i 0.0893336 0.996002i \(-0.471526\pi\)
0.907230 + 0.420636i \(0.138193\pi\)
\(192\) −10.3544 + 9.20792i −0.747267 + 0.664524i
\(193\) 2.95775 5.12297i 0.212903 0.368759i −0.739719 0.672916i \(-0.765041\pi\)
0.952622 + 0.304157i \(0.0983747\pi\)
\(194\) 1.78683 + 0.0807178i 0.128287 + 0.00579520i
\(195\) 7.78376 + 0.385474i 0.557407 + 0.0276044i
\(196\) −9.16308 10.5848i −0.654506 0.756057i
\(197\) 23.2194i 1.65431i −0.561971 0.827157i \(-0.689957\pi\)
0.561971 0.827157i \(-0.310043\pi\)
\(198\) −1.06540 0.840101i −0.0757150 0.0597034i
\(199\) −4.69169 8.12625i −0.332585 0.576055i 0.650433 0.759564i \(-0.274588\pi\)
−0.983018 + 0.183509i \(0.941254\pi\)
\(200\) 0.190998 1.40168i 0.0135056 0.0991140i
\(201\) −8.76216 17.0751i −0.618035 1.20438i
\(202\) 0.828500 0.429701i 0.0582930 0.0302337i
\(203\) −15.8797 + 2.23955i −1.11454 + 0.157186i
\(204\) −3.19330 2.49561i −0.223576 0.174728i
\(205\) −3.90404 + 2.25400i −0.272670 + 0.157426i
\(206\) −15.3240 + 7.94780i −1.06768 + 0.553749i
\(207\) −5.64921 + 2.55424i −0.392647 + 0.177532i
\(208\) −5.49283 + 6.46638i −0.380859 + 0.448363i
\(209\) −0.251786 0.145369i −0.0174164 0.0100554i
\(210\) −7.40796 11.5808i −0.511198 0.799154i
\(211\) 3.08139 + 5.33712i 0.212132 + 0.367423i 0.952381 0.304909i \(-0.0986261\pi\)
−0.740250 + 0.672332i \(0.765293\pi\)
\(212\) 1.58346 17.4906i 0.108753 1.20126i
\(213\) −12.5504 8.09909i −0.859940 0.554940i
\(214\) 0.973167 21.5428i 0.0665243 1.47263i
\(215\) 9.52884 16.5044i 0.649862 1.12559i
\(216\) 4.11630 14.1087i 0.280079 0.959977i
\(217\) −0.761986 5.40292i −0.0517270 0.366774i
\(218\) −1.42383 + 2.22754i −0.0964340 + 0.150868i
\(219\) 1.25903 25.4233i 0.0850776 1.71795i
\(220\) 0.781557 1.10904i 0.0526926 0.0747713i
\(221\) −2.14911 1.24079i −0.144564 0.0834643i
\(222\) 9.48109 13.3305i 0.636329 0.894686i
\(223\) −5.82293 + 10.0856i −0.389932 + 0.675382i −0.992440 0.122731i \(-0.960835\pi\)
0.602508 + 0.798113i \(0.294168\pi\)
\(224\) 14.9118 + 1.27968i 0.996338 + 0.0855025i
\(225\) 0.618166 + 1.36719i 0.0412111 + 0.0911463i
\(226\) −21.7507 13.9030i −1.44684 0.924811i
\(227\) 16.4372i 1.09097i −0.838119 0.545487i \(-0.816345\pi\)
0.838119 0.545487i \(-0.183655\pi\)
\(228\) 0.438746 3.11862i 0.0290567 0.206536i
\(229\) 21.4371 1.41660 0.708300 0.705911i \(-0.249462\pi\)
0.708300 + 0.705911i \(0.249462\pi\)
\(230\) −2.85440 5.50353i −0.188214 0.362892i
\(231\) 0.132629 + 1.45948i 0.00872638 + 0.0960266i
\(232\) 10.4982 13.5539i 0.689240 0.889860i
\(233\) 11.1978 19.3952i 0.733593 1.27062i −0.221744 0.975105i \(-0.571175\pi\)
0.955338 0.295516i \(-0.0954916\pi\)
\(234\) 1.29235 8.90580i 0.0844839 0.582190i
\(235\) 3.99461 + 6.91887i 0.260580 + 0.451337i
\(236\) −17.2690 + 7.98929i −1.12412 + 0.520058i
\(237\) −0.0848791 + 1.71394i −0.00551349 + 0.111332i
\(238\) 0.415088 + 4.35781i 0.0269062 + 0.282475i
\(239\) −5.61772 + 3.24339i −0.363380 + 0.209798i −0.670562 0.741853i \(-0.733947\pi\)
0.307182 + 0.951651i \(0.400614\pi\)
\(240\) 14.3095 + 3.35130i 0.923674 + 0.216325i
\(241\) 20.8596i 1.34369i −0.740693 0.671843i \(-0.765503\pi\)
0.740693 0.671843i \(-0.234497\pi\)
\(242\) 13.6811 7.09569i 0.879454 0.456128i
\(243\) 4.25080 + 14.9977i 0.272689 + 0.962102i
\(244\) 25.3166 + 2.29197i 1.62073 + 0.146728i
\(245\) −3.57841 + 14.4114i −0.228616 + 0.920709i
\(246\) 2.16515 + 4.73382i 0.138045 + 0.301817i
\(247\) 1.92837i 0.122699i
\(248\) 4.61160 + 3.57191i 0.292837 + 0.226816i
\(249\) 3.28250 1.68443i 0.208020 0.106746i
\(250\) −14.6473 + 7.59683i −0.926378 + 0.480466i
\(251\) 0.292636i 0.0184710i 0.999957 + 0.00923551i \(0.00293980\pi\)
−0.999957 + 0.00923551i \(0.997060\pi\)
\(252\) −14.1210 + 7.25234i −0.889541 + 0.456855i
\(253\) 0.660893i 0.0415500i
\(254\) −13.2757 25.5967i −0.832991 1.60608i
\(255\) −0.212617 + 4.29332i −0.0133146 + 0.268858i
\(256\) −12.3800 + 10.1358i −0.773752 + 0.633488i
\(257\) 7.26821i 0.453379i −0.973967 0.226689i \(-0.927210\pi\)
0.973967 0.226689i \(-0.0727902\pi\)
\(258\) −17.9331 12.7546i −1.11647 0.794067i
\(259\) −17.4958 + 2.46748i −1.08714 + 0.153321i
\(260\) 8.96228 + 0.811374i 0.555817 + 0.0503193i
\(261\) −1.79665 + 18.0951i −0.111210 + 1.12006i
\(262\) 6.56831 + 12.6643i 0.405792 + 0.782401i
\(263\) 5.46850i 0.337202i 0.985684 + 0.168601i \(0.0539249\pi\)
−0.985684 + 0.168601i \(0.946075\pi\)
\(264\) −1.18963 1.01944i −0.0732165 0.0627423i
\(265\) −16.1316 + 9.31358i −0.990956 + 0.572129i
\(266\) −2.77138 + 1.97251i −0.169924 + 0.120942i
\(267\) 26.6971 13.6997i 1.63383 0.838410i
\(268\) −9.30496 20.1129i −0.568391 1.22859i
\(269\) −4.29903 7.44614i −0.262117 0.453999i 0.704688 0.709518i \(-0.251087\pi\)
−0.966804 + 0.255519i \(0.917754\pi\)
\(270\) −14.7471 + 5.05137i −0.897477 + 0.307417i
\(271\) 2.36239 4.09177i 0.143505 0.248558i −0.785309 0.619104i \(-0.787496\pi\)
0.928814 + 0.370546i \(0.120829\pi\)
\(272\) −3.56669 3.02970i −0.216262 0.183702i
\(273\) −7.94348 + 5.60194i −0.480761 + 0.339045i
\(274\) 1.50777 0.782002i 0.0910874 0.0472425i
\(275\) 0.159946 0.00964512
\(276\) −6.63802 + 2.68084i −0.399562 + 0.161368i
\(277\) 14.0883i 0.846481i 0.906017 + 0.423240i \(0.139107\pi\)
−0.906017 + 0.423240i \(0.860893\pi\)
\(278\) −8.55716 + 13.3874i −0.513224 + 0.802923i
\(279\) −6.15669 0.611293i −0.368592 0.0365972i
\(280\) −8.00136 13.7102i −0.478173 0.819342i
\(281\) 1.60781 2.78481i 0.0959139 0.166128i −0.814076 0.580759i \(-0.802756\pi\)
0.909990 + 0.414631i \(0.136089\pi\)
\(282\) 8.38944 3.83715i 0.499584 0.228499i
\(283\) 23.3428 + 13.4769i 1.38758 + 0.801121i 0.993042 0.117757i \(-0.0375705\pi\)
0.394540 + 0.918879i \(0.370904\pi\)
\(284\) −14.0984 9.93540i −0.836587 0.589557i
\(285\) −2.97187 + 1.52503i −0.176038 + 0.0903350i
\(286\) −0.808279 0.516648i −0.0477945 0.0305500i
\(287\) 2.10373 5.21415i 0.124179 0.307782i
\(288\) 5.41370 16.0839i 0.319006 0.947753i
\(289\) −7.81561 + 13.5370i −0.459742 + 0.796297i
\(290\) −18.1653 0.820593i −1.06670 0.0481869i
\(291\) −1.94901 + 1.00014i −0.114253 + 0.0586295i
\(292\) 2.65011 29.2726i 0.155086 1.71305i
\(293\) 4.65341 + 8.05993i 0.271855 + 0.470866i 0.969337 0.245736i \(-0.0790296\pi\)
−0.697482 + 0.716602i \(0.745696\pi\)
\(294\) 16.1762 + 5.68590i 0.943417 + 0.331608i
\(295\) 17.4776 + 10.0907i 1.01759 + 0.587505i
\(296\) 11.5666 14.9334i 0.672296 0.867984i
\(297\) 1.64344 + 0.245772i 0.0953618 + 0.0142611i
\(298\) 8.27017 + 15.9456i 0.479078 + 0.923703i
\(299\) −3.79621 + 2.19174i −0.219540 + 0.126752i
\(300\) 0.648804 + 1.60650i 0.0374587 + 0.0927515i
\(301\) 3.31942 + 23.5366i 0.191328 + 1.35663i
\(302\) −5.94819 11.4686i −0.342280 0.659944i
\(303\) −0.619793 + 0.960436i −0.0356062 + 0.0551756i
\(304\) 0.653094 3.57741i 0.0374575 0.205179i
\(305\) −13.4808 23.3495i −0.771911 1.33699i
\(306\) 4.91220 + 0.712829i 0.280812 + 0.0407497i
\(307\) 27.5568i 1.57275i 0.617751 + 0.786374i \(0.288044\pi\)
−0.617751 + 0.786374i \(0.711956\pi\)
\(308\) 0.0842742 + 1.69010i 0.00480197 + 0.0963026i
\(309\) 11.4638 17.7643i 0.652151 1.01058i
\(310\) 0.279199 6.18056i 0.0158574 0.351032i
\(311\) −10.5393 + 18.2547i −0.597631 + 1.03513i 0.395539 + 0.918449i \(0.370558\pi\)
−0.993170 + 0.116678i \(0.962775\pi\)
\(312\) 1.91053 10.2141i 0.108162 0.578259i
\(313\) −14.8066 + 8.54862i −0.836921 + 0.483197i −0.856217 0.516617i \(-0.827191\pi\)
0.0192952 + 0.999814i \(0.493858\pi\)
\(314\) 0.244209 5.40600i 0.0137815 0.305078i
\(315\) 14.9154 + 7.81171i 0.840385 + 0.440140i
\(316\) −0.178660 + 1.97344i −0.0100504 + 0.111015i
\(317\) 15.2475 8.80316i 0.856386 0.494435i −0.00641451 0.999979i \(-0.502042\pi\)
0.862800 + 0.505545i \(0.168708\pi\)
\(318\) 8.94646 + 19.5603i 0.501692 + 1.09689i
\(319\) 1.67871 + 0.969202i 0.0939895 + 0.0542649i
\(320\) 16.3516 + 4.54054i 0.914081 + 0.253824i
\(321\) 12.0581 + 23.4981i 0.673020 + 1.31153i
\(322\) 7.03300 + 3.21386i 0.391934 + 0.179101i
\(323\) 1.06364 0.0591823
\(324\) 4.19788 + 17.5037i 0.233215 + 0.972425i
\(325\) 0.530435 + 0.918740i 0.0294232 + 0.0509625i
\(326\) 1.02289 22.6434i 0.0566524 1.25410i
\(327\) 0.160152 3.23391i 0.00885645 0.178836i
\(328\) 2.27504 + 5.56358i 0.125618 + 0.307197i
\(329\) −9.24070 3.72831i −0.509456 0.205548i
\(330\) −0.157003 + 1.65425i −0.00864273 + 0.0910635i
\(331\) −4.78638 8.29025i −0.263083 0.455673i 0.703977 0.710223i \(-0.251406\pi\)
−0.967060 + 0.254550i \(0.918073\pi\)
\(332\) 3.86649 1.78878i 0.212201 0.0981720i
\(333\) −1.97950 + 19.9367i −0.108476 + 1.09253i
\(334\) −16.1337 10.3126i −0.882799 0.564280i
\(335\) −11.7525 + 20.3559i −0.642106 + 1.11216i
\(336\) −16.6336 + 7.70217i −0.907437 + 0.420188i
\(337\) −13.4370 23.2735i −0.731959 1.26779i −0.956045 0.293221i \(-0.905273\pi\)
0.224086 0.974569i \(-0.428060\pi\)
\(338\) −0.542530 + 12.0099i −0.0295098 + 0.653251i
\(339\) 31.5774 + 1.56381i 1.71505 + 0.0849343i
\(340\) −0.447533 + 4.94335i −0.0242709 + 0.268091i
\(341\) −0.329762 + 0.571164i −0.0178576 + 0.0309303i
\(342\) 1.42886 + 3.58271i 0.0772641 + 0.193731i
\(343\) −7.55731 16.9082i −0.408057 0.912957i
\(344\) −20.0894 15.5602i −1.08315 0.838949i
\(345\) 6.37995 + 4.11714i 0.343485 + 0.221659i
\(346\) −21.1477 13.5175i −1.13691 0.726706i
\(347\) 4.13602 7.16380i 0.222033 0.384573i −0.733392 0.679806i \(-0.762064\pi\)
0.955425 + 0.295233i \(0.0953973\pi\)
\(348\) −2.92520 + 20.7924i −0.156807 + 1.11459i
\(349\) 13.1783 22.8255i 0.705419 1.22182i −0.261122 0.965306i \(-0.584092\pi\)
0.966540 0.256515i \(-0.0825743\pi\)
\(350\) 0.777803 1.70209i 0.0415753 0.0909807i
\(351\) 4.03845 + 10.2550i 0.215557 + 0.547374i
\(352\) −1.32450 1.23220i −0.0705962 0.0656767i
\(353\) 11.2496i 0.598756i 0.954135 + 0.299378i \(0.0967792\pi\)
−0.954135 + 0.299378i \(0.903221\pi\)
\(354\) 13.5067 18.9906i 0.717873 1.00934i
\(355\) 18.2935i 0.970916i
\(356\) 31.4467 14.5484i 1.66667 0.771065i
\(357\) −3.08988 4.38141i −0.163534 0.231889i
\(358\) 24.1753 + 15.4527i 1.27771 + 0.816702i
\(359\) −2.64790 1.52877i −0.139751 0.0806852i 0.428494 0.903544i \(-0.359044\pi\)
−0.568245 + 0.822859i \(0.692378\pi\)
\(360\) −17.2522 + 5.13334i −0.909270 + 0.270551i
\(361\) −9.08674 15.7387i −0.478249 0.828352i
\(362\) −17.4757 + 9.06374i −0.918500 + 0.476380i
\(363\) −10.2347 + 15.8598i −0.537182 + 0.832422i
\(364\) −9.42857 + 6.08902i −0.494192 + 0.319152i
\(365\) −26.9981 + 15.5873i −1.41314 + 0.815879i
\(366\) −28.3123 + 12.9495i −1.47991 + 0.676879i
\(367\) −9.30325 −0.485626 −0.242813 0.970073i \(-0.578070\pi\)
−0.242813 + 0.970073i \(0.578070\pi\)
\(368\) −7.78483 + 2.78032i −0.405812 + 0.144934i
\(369\) −5.17927 3.71761i −0.269622 0.193531i
\(370\) −20.0140 0.904107i −1.04048 0.0470023i
\(371\) 8.69268 21.5450i 0.451302 1.11856i
\(372\) −7.07443 0.995271i −0.366792 0.0516024i
\(373\) 22.3332i 1.15637i −0.815907 0.578184i \(-0.803762\pi\)
0.815907 0.578184i \(-0.196238\pi\)
\(374\) 0.284969 0.445825i 0.0147354 0.0230531i
\(375\) 10.9575 16.9799i 0.565844 0.876837i
\(376\) 9.85996 4.03191i 0.508489 0.207930i
\(377\) 12.8568i 0.662158i
\(378\) 10.6073 16.2937i 0.545580 0.838059i
\(379\) −13.6812 −0.702758 −0.351379 0.936233i \(-0.614287\pi\)
−0.351379 + 0.936233i \(0.614287\pi\)
\(380\) −3.50059 + 1.61950i −0.179577 + 0.0830788i
\(381\) 29.6729 + 19.1486i 1.52019 + 0.981014i
\(382\) −12.1130 + 18.9503i −0.619752 + 0.969583i
\(383\) −12.4662 −0.636995 −0.318497 0.947924i \(-0.603178\pi\)
−0.318497 + 0.947924i \(0.603178\pi\)
\(384\) 7.00360 18.3016i 0.357401 0.933951i
\(385\) 1.41381 1.10568i 0.0720543 0.0563509i
\(386\) −0.377528 + 8.35725i −0.0192157 + 0.425373i
\(387\) 26.8202 + 2.66296i 1.36335 + 0.135366i
\(388\) −2.29576 + 1.06210i −0.116549 + 0.0539201i
\(389\) 11.0640i 0.560967i −0.959859 0.280484i \(-0.909505\pi\)
0.959859 0.280484i \(-0.0904948\pi\)
\(390\) −10.0228 + 4.58421i −0.507523 + 0.232130i
\(391\) −1.20891 2.09389i −0.0611370 0.105892i
\(392\) 18.3953 + 7.32200i 0.929105 + 0.369817i
\(393\) −14.6810 9.47402i −0.740559 0.477901i
\(394\) 15.1185 + 29.1498i 0.761660 + 1.46855i
\(395\) 1.82010 1.05084i 0.0915793 0.0528733i
\(396\) 1.88452 + 0.360967i 0.0947007 + 0.0181393i
\(397\) −17.1411 + 29.6892i −0.860286 + 1.49006i 0.0113665 + 0.999935i \(0.496382\pi\)
−0.871653 + 0.490124i \(0.836951\pi\)
\(398\) 11.1811 + 7.14692i 0.560459 + 0.358243i
\(399\) 1.74801 3.78173i 0.0875099 0.189323i
\(400\) 0.672880 + 1.88405i 0.0336440 + 0.0942023i
\(401\) 18.7428 0.935971 0.467985 0.883736i \(-0.344980\pi\)
0.467985 + 0.883736i \(0.344980\pi\)
\(402\) 22.1179 + 15.7310i 1.10314 + 0.784590i
\(403\) −4.37440 −0.217904
\(404\) −0.760319 + 1.07890i −0.0378273 + 0.0536773i
\(405\) 12.6106 14.3339i 0.626626 0.712257i
\(406\) 18.4773 13.1511i 0.917013 0.652678i
\(407\) 1.84955 + 1.06784i 0.0916789 + 0.0529309i
\(408\) 5.63383 + 1.05380i 0.278916 + 0.0521707i
\(409\) −23.3003 13.4524i −1.15213 0.665180i −0.202721 0.979237i \(-0.564978\pi\)
−0.949404 + 0.314057i \(0.898312\pi\)
\(410\) 3.43354 5.37167i 0.169571 0.265288i
\(411\) −1.12795 + 1.74787i −0.0556374 + 0.0862163i
\(412\) 14.0629 19.9555i 0.692832 0.983135i
\(413\) −24.9245 + 3.51515i −1.22645 + 0.172969i
\(414\) 5.42894 6.88491i 0.266818 0.338375i
\(415\) −3.91319 2.25928i −0.192091 0.110904i
\(416\) 2.68537 11.6944i 0.131661 0.573366i
\(417\) 0.962510 19.4357i 0.0471343 0.951769i
\(418\) 0.410747 + 0.0185550i 0.0200903 + 0.000907552i
\(419\) −23.6910 + 13.6780i −1.15738 + 0.668215i −0.950675 0.310188i \(-0.899608\pi\)
−0.206707 + 0.978403i \(0.566275\pi\)
\(420\) 16.8405 + 9.71523i 0.821731 + 0.474055i
\(421\) −6.02596 3.47909i −0.293687 0.169561i 0.345916 0.938265i \(-0.387568\pi\)
−0.639604 + 0.768705i \(0.720901\pi\)
\(422\) −7.34349 4.69392i −0.357475 0.228496i
\(423\) −6.58847 + 9.17887i −0.320342 + 0.446292i
\(424\) 9.40054 + 22.9889i 0.456530 + 1.11644i
\(425\) −0.506753 + 0.292574i −0.0245811 + 0.0141919i
\(426\) 21.0293 + 1.99587i 1.01887 + 0.0967002i
\(427\) 31.1851 + 12.5821i 1.50915 + 0.608892i
\(428\) 12.8051 + 27.6786i 0.618960 + 1.33790i
\(429\) 1.17345 + 0.0581126i 0.0566547 + 0.00280570i
\(430\) −1.21627 + 26.9242i −0.0586535 + 1.29840i
\(431\) −10.7757 + 6.22134i −0.519046 + 0.299672i −0.736544 0.676389i \(-0.763544\pi\)
0.217498 + 0.976061i \(0.430210\pi\)
\(432\) 4.01878 + 20.3924i 0.193354 + 0.981129i
\(433\) 9.58601i 0.460674i −0.973111 0.230337i \(-0.926017\pi\)
0.973111 0.230337i \(-0.0739829\pi\)
\(434\) 4.47453 + 6.28673i 0.214785 + 0.301773i
\(435\) 19.8140 10.1677i 0.950008 0.487502i
\(436\) 0.337101 3.72355i 0.0161442 0.178326i
\(437\) 0.939411 1.62711i 0.0449381 0.0778351i
\(438\) 14.9729 + 32.7364i 0.715434 + 1.56420i
\(439\) −13.0502 22.6037i −0.622854 1.07882i −0.988952 0.148239i \(-0.952640\pi\)
0.366097 0.930577i \(-0.380694\pi\)
\(440\) −0.259061 + 1.90118i −0.0123502 + 0.0906351i
\(441\) −20.6560 + 3.78547i −0.983619 + 0.180261i
\(442\) 3.50590 + 0.158374i 0.166759 + 0.00753311i
\(443\) 10.3325 + 17.8964i 0.490911 + 0.850283i 0.999945 0.0104635i \(-0.00333069\pi\)
−0.509034 + 0.860746i \(0.669997\pi\)
\(444\) −3.22290 + 22.9085i −0.152952 + 1.08719i
\(445\) −31.8266 18.3751i −1.50873 0.871064i
\(446\) 0.743241 16.4530i 0.0351935 0.779070i
\(447\) −18.4849 11.9287i −0.874305 0.564210i
\(448\) −19.5536 + 8.10281i −0.923822 + 0.382822i
\(449\) −19.2783 −0.909799 −0.454899 0.890543i \(-0.650325\pi\)
−0.454899 + 0.890543i \(0.650325\pi\)
\(450\) −1.66625 1.31389i −0.0785479 0.0619372i
\(451\) −0.588557 + 0.339804i −0.0277141 + 0.0160007i
\(452\) 36.3585 + 3.29161i 1.71016 + 0.154824i
\(453\) 13.2950 + 8.57956i 0.624652 + 0.403103i
\(454\) 10.7025 + 20.6354i 0.502294 + 0.968466i
\(455\) 11.0398 + 4.45417i 0.517553 + 0.208815i
\(456\) 1.47978 + 4.20082i 0.0692971 + 0.196721i
\(457\) 4.32938 + 7.49871i 0.202520 + 0.350775i 0.949340 0.314252i \(-0.101754\pi\)
−0.746820 + 0.665026i \(0.768420\pi\)
\(458\) −26.9122 + 13.9580i −1.25753 + 0.652216i
\(459\) −5.65641 + 2.22750i −0.264019 + 0.103971i
\(460\) 7.16687 + 5.05062i 0.334157 + 0.235486i
\(461\) 5.31318 9.20269i 0.247459 0.428612i −0.715361 0.698755i \(-0.753738\pi\)
0.962820 + 0.270143i \(0.0870710\pi\)
\(462\) −1.11679 1.74588i −0.0519580 0.0812258i
\(463\) −21.8182 + 12.5968i −1.01398 + 0.585421i −0.912354 0.409402i \(-0.865737\pi\)
−0.101625 + 0.994823i \(0.532404\pi\)
\(464\) −4.35430 + 23.8513i −0.202143 + 1.10727i
\(465\) 3.45945 + 6.74152i 0.160428 + 0.312631i
\(466\) −1.42929 + 31.6399i −0.0662108 + 1.46569i
\(467\) 10.6195 + 6.13116i 0.491411 + 0.283716i 0.725159 0.688581i \(-0.241766\pi\)
−0.233749 + 0.972297i \(0.575099\pi\)
\(468\) 4.17628 + 12.0219i 0.193049 + 0.555711i
\(469\) −4.09402 29.0290i −0.189044 1.34043i
\(470\) −9.51985 6.08504i −0.439118 0.280682i
\(471\) 3.02590 + 5.89666i 0.139426 + 0.271704i
\(472\) 16.4777 21.2740i 0.758448 0.979214i
\(473\) 1.43653 2.48814i 0.0660517 0.114405i
\(474\) −1.00942 2.20696i −0.0463640 0.101369i
\(475\) −0.393785 0.227352i −0.0180681 0.0104316i
\(476\) −3.35854 5.20055i −0.153939 0.238367i
\(477\) −21.4009 15.3613i −0.979878 0.703343i
\(478\) 4.94070 7.72957i 0.225982 0.353542i
\(479\) 33.6037 1.53539 0.767695 0.640815i \(-0.221404\pi\)
0.767695 + 0.640815i \(0.221404\pi\)
\(480\) −20.1463 + 5.10991i −0.919550 + 0.233234i
\(481\) 14.1653i 0.645880i
\(482\) 13.5820 + 26.1873i 0.618645 + 1.19280i
\(483\) −9.43151 + 0.857084i −0.429149 + 0.0389987i
\(484\) −12.5552 + 17.8160i −0.570692 + 0.809817i
\(485\) 2.32349 + 1.34147i 0.105504 + 0.0609129i
\(486\) −15.1017 16.0604i −0.685028 0.728517i
\(487\) 20.4364 11.7990i 0.926063 0.534663i 0.0404987 0.999180i \(-0.487105\pi\)
0.885564 + 0.464517i \(0.153772\pi\)
\(488\) −33.2750 + 13.6067i −1.50629 + 0.615947i
\(489\) 12.6742 + 24.6986i 0.573147 + 1.11691i
\(490\) −4.89112 20.4221i −0.220958 0.922577i
\(491\) 2.64897 + 4.58816i 0.119547 + 0.207061i 0.919588 0.392884i \(-0.128523\pi\)
−0.800042 + 0.599945i \(0.795189\pi\)
\(492\) −5.80042 4.53311i −0.261503 0.204368i
\(493\) −7.09146 −0.319383
\(494\) 1.25559 + 2.42089i 0.0564918 + 0.108921i
\(495\) −0.838451 1.85440i −0.0376856 0.0833489i
\(496\) −8.11516 1.48151i −0.364382 0.0665217i
\(497\) −14.0558 17.9728i −0.630489 0.806188i
\(498\) −3.02411 + 4.25193i −0.135514 + 0.190534i
\(499\) −14.3679 −0.643197 −0.321598 0.946876i \(-0.604220\pi\)
−0.321598 + 0.946876i \(0.604220\pi\)
\(500\) 13.4419 19.0742i 0.601141 0.853025i
\(501\) 23.4227 + 1.15996i 1.04645 + 0.0518233i
\(502\) −0.190540 0.367377i −0.00850422 0.0163969i
\(503\) −35.9894 −1.60469 −0.802344 0.596862i \(-0.796414\pi\)
−0.802344 + 0.596862i \(0.796414\pi\)
\(504\) 13.0055 18.2991i 0.579312 0.815106i
\(505\) 1.39993 0.0622961
\(506\) −0.430318 0.829690i −0.0191300 0.0368842i
\(507\) −6.72229 13.0999i −0.298547 0.581788i
\(508\) 33.3328 + 23.4902i 1.47890 + 1.04221i
\(509\) −18.7116 −0.829379 −0.414690 0.909963i \(-0.636110\pi\)
−0.414690 + 0.909963i \(0.636110\pi\)
\(510\) −2.52853 5.52830i −0.111965 0.244797i
\(511\) 14.5482 36.0581i 0.643575 1.59511i
\(512\) 8.94239 20.7854i 0.395202 0.918594i
\(513\) −3.69676 2.94111i −0.163216 0.129853i
\(514\) 4.73245 + 9.12457i 0.208740 + 0.402467i
\(515\) −25.8933 −1.14099
\(516\) 30.8181 + 4.33567i 1.35669 + 0.190867i
\(517\) 0.602212 + 1.04306i 0.0264852 + 0.0458738i
\(518\) 20.3578 14.4895i 0.894470 0.636633i
\(519\) 30.7020 + 1.52045i 1.34767 + 0.0667403i
\(520\) −11.7796 + 4.81688i −0.516570 + 0.211234i
\(521\) −2.65996 + 1.53573i −0.116535 + 0.0672816i −0.557135 0.830422i \(-0.688099\pi\)
0.440599 + 0.897704i \(0.354766\pi\)
\(522\) −9.52650 23.8866i −0.416964 1.04549i
\(523\) 19.7942 + 11.4282i 0.865540 + 0.499720i 0.865863 0.500280i \(-0.166770\pi\)
−0.000323772 1.00000i \(0.500103\pi\)
\(524\) −16.4918 11.6221i −0.720448 0.507712i
\(525\) 0.207428 + 2.28257i 0.00905288 + 0.0996195i
\(526\) −3.56063 6.86519i −0.155251 0.299337i
\(527\) 2.41280i 0.105103i
\(528\) 2.15724 + 0.505228i 0.0938819 + 0.0219872i
\(529\) 18.7291 0.814311
\(530\) 14.1875 22.1959i 0.616265 0.964127i
\(531\) −2.81998 + 28.4017i −0.122377 + 1.23253i
\(532\) 2.19488 4.28080i 0.0951600 0.185596i
\(533\) −3.90371 2.25381i −0.169088 0.0976231i
\(534\) −24.5956 + 34.5816i −1.06435 + 1.49649i
\(535\) 16.1733 28.0130i 0.699232 1.21111i
\(536\) 24.7774 + 19.1913i 1.07022 + 0.828936i
\(537\) −35.0974 1.73812i −1.51457 0.0750056i
\(538\) 10.2453 + 6.54877i 0.441708 + 0.282337i
\(539\) −0.539467 + 2.17260i −0.0232365 + 0.0935805i
\(540\) 15.2245 15.9436i 0.655159 0.686102i
\(541\) 7.47582 + 4.31616i 0.321410 + 0.185566i 0.652021 0.758201i \(-0.273921\pi\)
−0.330611 + 0.943767i \(0.607255\pi\)
\(542\) −0.301536 + 6.67503i −0.0129521 + 0.286717i
\(543\) 13.0734 20.2586i 0.561033 0.869381i
\(544\) 6.45033 + 1.48118i 0.276556 + 0.0635049i
\(545\) −3.43423 + 1.98275i −0.147106 + 0.0849317i
\(546\) 6.32478 12.2049i 0.270676 0.522319i
\(547\) 7.82089 13.5462i 0.334397 0.579193i −0.648972 0.760812i \(-0.724801\pi\)
0.983369 + 0.181620i \(0.0581340\pi\)
\(548\) −1.38368 + 1.96346i −0.0591081 + 0.0838749i
\(549\) 22.2345 30.9765i 0.948945 1.32204i
\(550\) −0.200798 + 0.104144i −0.00856204 + 0.00444070i
\(551\) −2.75530 4.77232i −0.117380 0.203307i
\(552\) 6.58789 7.68767i 0.280399 0.327209i
\(553\) −0.980782 + 2.43089i −0.0417071 + 0.103372i
\(554\) −9.17309 17.6865i −0.389727 0.751427i
\(555\) 21.8305 11.2024i 0.926654 0.475517i
\(556\) 2.02596 22.3784i 0.0859199 0.949054i
\(557\) −2.28856 + 1.32130i −0.0969696 + 0.0559854i −0.547701 0.836674i \(-0.684497\pi\)
0.450731 + 0.892660i \(0.351163\pi\)
\(558\) 8.12718 3.24130i 0.344051 0.137215i
\(559\) 19.0561 0.805985
\(560\) 18.9719 + 12.0021i 0.801709 + 0.507180i
\(561\) −0.0320533 + 0.647243i −0.00135329 + 0.0273266i
\(562\) −0.205222 + 4.54294i −0.00865675 + 0.191632i
\(563\) 34.2256 + 19.7602i 1.44244 + 0.832792i 0.998012 0.0630241i \(-0.0200745\pi\)
0.444425 + 0.895816i \(0.353408\pi\)
\(564\) −8.03373 + 10.2797i −0.338281 + 0.432853i
\(565\) −19.3605 33.5334i −0.814504 1.41076i
\(566\) −38.0797 1.72020i −1.60061 0.0723055i
\(567\) −1.37607 + 23.7720i −0.0577894 + 0.998329i
\(568\) 24.1684 + 3.29326i 1.01408 + 0.138182i
\(569\) 15.7474 + 27.2754i 0.660167 + 1.14344i 0.980572 + 0.196162i \(0.0628477\pi\)
−0.320405 + 0.947281i \(0.603819\pi\)
\(570\) 2.73793 3.84957i 0.114679 0.161241i
\(571\) 12.2257 21.1755i 0.511628 0.886165i −0.488281 0.872686i \(-0.662376\pi\)
0.999909 0.0134790i \(-0.00429062\pi\)
\(572\) 1.35112 + 0.122320i 0.0564930 + 0.00511444i
\(573\) 1.36246 27.5118i 0.0569178 1.14932i
\(574\) 0.753979 + 7.91566i 0.0314705 + 0.330393i
\(575\) 1.03361i 0.0431046i
\(576\) 3.67609 + 23.7168i 0.153170 + 0.988200i
\(577\) 7.84793 4.53100i 0.326713 0.188628i −0.327668 0.944793i \(-0.606263\pi\)
0.654381 + 0.756165i \(0.272929\pi\)
\(578\) 0.997588 22.0834i 0.0414942 0.918547i
\(579\) −4.67781 9.11578i −0.194403 0.378839i
\(580\) 23.3391 10.7975i 0.969104 0.448343i
\(581\) 5.58051 0.787032i 0.231519 0.0326516i
\(582\) 1.79559 2.52462i 0.0744296 0.104649i
\(583\) −2.43193 + 1.40408i −0.100720 + 0.0581510i
\(584\) 15.7329 + 38.4745i 0.651031 + 1.59209i
\(585\) 7.87118 10.9659i 0.325433 0.453385i
\(586\) −11.0899 7.08859i −0.458118 0.292827i
\(587\) −0.329533 0.190256i −0.0136013 0.00785271i 0.493184 0.869925i \(-0.335833\pi\)
−0.506785 + 0.862072i \(0.669166\pi\)
\(588\) −24.0099 + 3.39449i −0.990153 + 0.139986i
\(589\) 1.62373 0.937464i 0.0669048 0.0386275i
\(590\) −28.5118 1.28798i −1.17381 0.0530255i
\(591\) −33.7918 21.8067i −1.39001 0.897008i
\(592\) −4.79745 + 26.2787i −0.197174 + 1.08005i
\(593\) 33.1698 + 19.1506i 1.36212 + 0.786420i 0.989906 0.141727i \(-0.0452654\pi\)
0.372214 + 0.928147i \(0.378599\pi\)
\(594\) −2.22321 + 0.761525i −0.0912193 + 0.0312457i
\(595\) −2.45680 + 6.08925i −0.100719 + 0.249635i
\(596\) −20.7649 14.6334i −0.850562 0.599406i
\(597\) −16.2326 0.803885i −0.664356 0.0329008i
\(598\) 3.33871 5.22330i 0.136530 0.213597i
\(599\) −34.9602 20.1843i −1.42843 0.824707i −0.431437 0.902143i \(-0.641993\pi\)
−0.996997 + 0.0774357i \(0.975327\pi\)
\(600\) −1.86053 1.59437i −0.0759560 0.0650898i
\(601\) 11.4673 + 6.62065i 0.467761 + 0.270062i 0.715302 0.698816i \(-0.246289\pi\)
−0.247541 + 0.968877i \(0.579623\pi\)
\(602\) −19.4923 27.3867i −0.794446 1.11620i
\(603\) −33.0789 3.28438i −1.34708 0.133750i
\(604\) 14.9348 + 10.5248i 0.607688 + 0.428248i
\(605\) 23.1172 0.939847
\(606\) 0.152737 1.60930i 0.00620450 0.0653732i
\(607\) −45.1223 −1.83146 −0.915730 0.401795i \(-0.868386\pi\)
−0.915730 + 0.401795i \(0.868386\pi\)
\(608\) 1.50941 + 4.91635i 0.0612147 + 0.199384i
\(609\) −11.6543 + 25.2135i −0.472256 + 1.02170i
\(610\) 32.1272 + 20.5355i 1.30079 + 0.831460i
\(611\) −3.99427 + 6.91827i −0.161591 + 0.279883i
\(612\) −6.63095 + 2.30353i −0.268040 + 0.0931145i
\(613\) −11.3838 + 6.57242i −0.459786 + 0.265457i −0.711954 0.702226i \(-0.752190\pi\)
0.252168 + 0.967683i \(0.418856\pi\)
\(614\) −17.9427 34.5950i −0.724107 1.39614i
\(615\) −0.386205 + 7.79852i −0.0155733 + 0.314467i
\(616\) −1.20625 2.06690i −0.0486013 0.0832776i
\(617\) 17.7957 + 30.8231i 0.716429 + 1.24089i 0.962406 + 0.271616i \(0.0875580\pi\)
−0.245977 + 0.969276i \(0.579109\pi\)
\(618\) −2.82503 + 29.7657i −0.113640 + 1.19735i
\(619\) 4.35759i 0.175146i −0.996158 0.0875732i \(-0.972089\pi\)
0.996158 0.0875732i \(-0.0279112\pi\)
\(620\) 3.67376 + 7.94091i 0.147542 + 0.318915i
\(621\) −1.58824 + 10.6203i −0.0637338 + 0.426178i
\(622\) 1.34525 29.7794i 0.0539394 1.19404i
\(623\) 45.3872 6.40105i 1.81840 0.256453i
\(624\) 4.25207 + 14.0668i 0.170219 + 0.563124i
\(625\) −22.2491 −0.889964
\(626\) 13.0222 20.3729i 0.520473 0.814263i
\(627\) −0.448027 + 0.229907i −0.0178925 + 0.00918162i
\(628\) 3.21335 + 6.94573i 0.128227 + 0.277165i
\(629\) −7.81318 −0.311532
\(630\) −23.8112 0.0952404i −0.948660 0.00379447i
\(631\) 25.8136i 1.02762i 0.857903 + 0.513811i \(0.171767\pi\)
−0.857903 + 0.513811i \(0.828233\pi\)
\(632\) −1.06065 2.59380i −0.0421903 0.103176i
\(633\) 10.6612 + 0.527972i 0.423744 + 0.0209850i
\(634\) −13.4100 + 20.9795i −0.532578 + 0.833201i
\(635\) 43.2512i 1.71637i
\(636\) −23.9675 18.7309i −0.950372 0.742729i
\(637\) −14.2686 + 4.10634i −0.565342 + 0.162699i
\(638\) −2.73852 0.123709i −0.108419 0.00489770i
\(639\) −23.5737 + 10.6586i −0.932560 + 0.421649i
\(640\) −23.4843 + 4.94655i −0.928299 + 0.195530i
\(641\) −15.5057 −0.612438 −0.306219 0.951961i \(-0.599064\pi\)
−0.306219 + 0.951961i \(0.599064\pi\)
\(642\) −30.4379 21.6484i −1.20129 0.854393i
\(643\) 15.9485 9.20786i 0.628947 0.363123i −0.151397 0.988473i \(-0.548377\pi\)
0.780344 + 0.625350i \(0.215044\pi\)
\(644\) −10.9219 + 0.544601i −0.430382 + 0.0214603i
\(645\) −15.0703 29.3679i −0.593392 1.15636i
\(646\) −1.33530 + 0.692551i −0.0525366 + 0.0272481i
\(647\) 2.59519 + 4.49501i 0.102028 + 0.176717i 0.912520 0.409032i \(-0.134134\pi\)
−0.810492 + 0.585749i \(0.800800\pi\)
\(648\) −16.6670 19.2409i −0.654740 0.755854i
\(649\) 2.63486 + 1.52124i 0.103427 + 0.0597138i
\(650\) −1.26412 0.808018i −0.0495828 0.0316931i
\(651\) −8.57865 3.96526i −0.336224 0.155411i
\(652\) 13.4594 + 29.0927i 0.527109 + 1.13936i
\(653\) 43.4044i 1.69855i 0.527954 + 0.849273i \(0.322959\pi\)
−0.527954 + 0.849273i \(0.677041\pi\)
\(654\) 1.90460 + 4.16415i 0.0744756 + 0.162831i
\(655\) 21.3990i 0.836130i
\(656\) −6.47865 5.50324i −0.252949 0.214866i
\(657\) −35.8168 25.7088i −1.39735 1.00300i
\(658\) 14.0284 1.33623i 0.546884 0.0520916i
\(659\) 10.0096 17.3371i 0.389918 0.675357i −0.602521 0.798103i \(-0.705837\pi\)
0.992438 + 0.122746i \(0.0391702\pi\)
\(660\) −0.880007 2.17898i −0.0342542 0.0848169i
\(661\) −8.09255 + 14.0167i −0.314764 + 0.545186i −0.979387 0.201992i \(-0.935259\pi\)
0.664624 + 0.747178i \(0.268592\pi\)
\(662\) 11.4068 + 7.29115i 0.443337 + 0.283378i
\(663\) −3.82410 + 1.96236i −0.148516 + 0.0762117i
\(664\) −3.68931 + 4.76318i −0.143173 + 0.184847i
\(665\) −5.05242 + 0.712554i −0.195924 + 0.0276316i
\(666\) −10.4960 26.3176i −0.406713 1.01979i
\(667\) −6.26322 + 10.8482i −0.242513 + 0.420045i
\(668\) 26.9691 + 2.44157i 1.04347 + 0.0944673i
\(669\) 9.20922 + 17.9463i 0.356049 + 0.693843i
\(670\) 1.50009 33.2071i 0.0579535 1.28290i
\(671\) −2.03232 3.52008i −0.0784568 0.135891i
\(672\) 15.8669 20.4998i 0.612080 0.790796i
\(673\) −6.90438 + 11.9587i −0.266144 + 0.460975i −0.967863 0.251479i \(-0.919083\pi\)
0.701719 + 0.712454i \(0.252416\pi\)
\(674\) 32.0227 + 20.4687i 1.23347 + 0.788426i
\(675\) 2.57027 + 0.384378i 0.0989298 + 0.0147947i
\(676\) −7.13873 15.4305i −0.274566 0.593482i
\(677\) 10.9263 + 18.9249i 0.419931 + 0.727342i 0.995932 0.0901070i \(-0.0287209\pi\)
−0.576001 + 0.817449i \(0.695388\pi\)
\(678\) −40.6608 + 18.5974i −1.56157 + 0.714228i
\(679\) −3.31348 + 0.467307i −0.127160 + 0.0179336i
\(680\) −2.65686 6.49732i −0.101886 0.249161i
\(681\) −23.9215 15.4371i −0.916674 0.591552i
\(682\) 0.0420909 0.931757i 0.00161174 0.0356788i
\(683\) 16.3012 + 28.2345i 0.623747 + 1.08036i 0.988782 + 0.149368i \(0.0477239\pi\)
−0.365034 + 0.930994i \(0.618943\pi\)
\(684\) −4.12657 3.56740i −0.157783 0.136403i
\(685\) 2.54770 0.0973426
\(686\) 20.4967 + 16.3060i 0.782568 + 0.622565i
\(687\) 20.1328 31.1980i 0.768114 1.19028i
\(688\) 35.3518 + 6.45385i 1.34778 + 0.246051i
\(689\) −16.1302 9.31278i −0.614512 0.354789i
\(690\) −10.6902 1.01459i −0.406968 0.0386249i
\(691\) 2.08275 1.20248i 0.0792317 0.0457444i −0.459861 0.887991i \(-0.652101\pi\)
0.539092 + 0.842247i \(0.318767\pi\)
\(692\) 35.3505 + 3.20035i 1.34382 + 0.121659i
\(693\) 2.24858 + 1.17766i 0.0854165 + 0.0447357i
\(694\) −0.527923 + 11.6865i −0.0200397 + 0.443614i
\(695\) −20.6396 + 11.9163i −0.782903 + 0.452009i
\(696\) −9.86598 28.0076i −0.373969 1.06163i
\(697\) 1.24314 2.15318i 0.0470873 0.0815575i
\(698\) −1.68208 + 37.2359i −0.0636678 + 1.40940i
\(699\) −17.7098 34.5117i −0.669848 1.30535i
\(700\) 0.131802 + 2.64326i 0.00498164 + 0.0999058i
\(701\) 31.0300i 1.17199i 0.810316 + 0.585993i \(0.199295\pi\)
−0.810316 + 0.585993i \(0.800705\pi\)
\(702\) −11.7471 10.2448i −0.443367 0.386663i
\(703\) −3.03571 5.25801i −0.114494 0.198309i
\(704\) 2.46510 + 0.684514i 0.0929069 + 0.0257986i
\(705\) 13.8208 + 0.684445i 0.520521 + 0.0257777i
\(706\) −7.32481 14.1228i −0.275673 0.531520i
\(707\) −1.37539 + 1.07564i −0.0517268 + 0.0404535i
\(708\) −4.59133 + 32.6353i −0.172553 + 1.22651i
\(709\) −22.2607 + 12.8522i −0.836018 + 0.482675i −0.855909 0.517127i \(-0.827001\pi\)
0.0198909 + 0.999802i \(0.493668\pi\)
\(710\) −11.9112 22.9658i −0.447019 0.861889i
\(711\) 2.41463 + 1.73319i 0.0905556 + 0.0649996i
\(712\) −30.0058 + 38.7397i −1.12451 + 1.45183i
\(713\) −3.69100 2.13100i −0.138229 0.0798067i
\(714\) 6.73187 + 3.48858i 0.251934 + 0.130557i
\(715\) −0.719456 1.24614i −0.0269061 0.0466028i
\(716\) −40.4114 3.65853i −1.51024 0.136726i
\(717\) −0.555730 + 11.2217i −0.0207541 + 0.419081i
\(718\) 4.31960 + 0.195132i 0.161206 + 0.00728227i
\(719\) 7.12292 12.3373i 0.265640 0.460102i −0.702091 0.712087i \(-0.747750\pi\)
0.967731 + 0.251985i \(0.0810834\pi\)
\(720\) 18.3161 17.6776i 0.682602 0.658806i
\(721\) 25.4393 19.8951i 0.947411 0.740934i
\(722\) 21.6553 + 13.8419i 0.805926 + 0.515144i
\(723\) −30.3576 19.5905i −1.12901 0.728579i
\(724\) 16.0375 22.7574i 0.596030 0.845771i
\(725\) 2.62544 + 1.51580i 0.0975062 + 0.0562952i
\(726\) 2.52215 26.5745i 0.0936059 0.986271i
\(727\) 5.29020 9.16289i 0.196203 0.339833i −0.751092 0.660198i \(-0.770472\pi\)
0.947294 + 0.320365i \(0.103806\pi\)
\(728\) 7.87204 13.7833i 0.291757 0.510843i
\(729\) 25.8187 + 7.89891i 0.956250 + 0.292552i
\(730\) 23.7444 37.1474i 0.878820 1.37489i
\(731\) 10.5108i 0.388757i
\(732\) 27.1119 34.6915i 1.00208 1.28223i
\(733\) 2.24343 0.0828630 0.0414315 0.999141i \(-0.486808\pi\)
0.0414315 + 0.999141i \(0.486808\pi\)
\(734\) 11.6794 6.05750i 0.431093 0.223586i
\(735\) 17.6126 + 18.7423i 0.649650 + 0.691321i
\(736\) 7.96281 8.55926i 0.293513 0.315499i
\(737\) −1.77175 + 3.06877i −0.0652634 + 0.113040i
\(738\) 8.92269 + 1.29481i 0.328449 + 0.0476624i
\(739\) −18.9929 32.8967i −0.698666 1.21013i −0.968929 0.247339i \(-0.920444\pi\)
0.270263 0.962787i \(-0.412889\pi\)
\(740\) 25.7144 11.8964i 0.945280 0.437321i
\(741\) −2.80641 1.81104i −0.103096 0.0665303i
\(742\) 3.11546 + 32.7077i 0.114372 + 1.20074i
\(743\) −9.49927 + 5.48441i −0.348494 + 0.201203i −0.664022 0.747713i \(-0.731152\pi\)
0.315528 + 0.948916i \(0.397819\pi\)
\(744\) 9.52932 3.35680i 0.349362 0.123066i
\(745\) 26.9435i 0.987135i
\(746\) 14.5415 + 28.0372i 0.532402 + 1.02652i
\(747\) 0.631386 6.35906i 0.0231012 0.232666i
\(748\) −0.0674682 + 0.745240i −0.00246688 + 0.0272487i
\(749\) 5.63404 + 39.9486i 0.205863 + 1.45969i
\(750\) −2.70028 + 28.4513i −0.0986003 + 1.03889i
\(751\) 45.2004i 1.64939i 0.565581 + 0.824693i \(0.308652\pi\)
−0.565581 + 0.824693i \(0.691348\pi\)
\(752\) −9.75303 + 11.4817i −0.355656 + 0.418693i
\(753\) 0.425882 + 0.274832i 0.0155200 + 0.0100154i
\(754\) −8.37126 16.1405i −0.304863 0.587802i
\(755\) 19.3787i 0.705264i
\(756\) −2.70735 + 27.3618i −0.0984654 + 0.995140i
\(757\) 28.6281i 1.04051i −0.854012 0.520253i \(-0.825838\pi\)
0.854012 0.520253i \(-0.174162\pi\)
\(758\) 17.1755 8.90808i 0.623843 0.323556i
\(759\) 0.961816 + 0.620683i 0.0349117 + 0.0225294i
\(760\) 3.34019 4.31243i 0.121161 0.156428i
\(761\) 36.9345i 1.33888i −0.742868 0.669438i \(-0.766535\pi\)
0.742868 0.669438i \(-0.233465\pi\)
\(762\) −49.7195 4.71883i −1.80115 0.170945i
\(763\) 1.85057 4.58668i 0.0669951 0.166049i
\(764\) 2.86782 31.6773i 0.103754 1.14605i
\(765\) 6.04851 + 4.34153i 0.218684 + 0.156969i
\(766\) 15.6502 8.11697i 0.565465 0.293278i
\(767\) 20.1797i 0.728647i
\(768\) 3.12412 + 27.5362i 0.112732 + 0.993625i
\(769\) 5.41887 3.12859i 0.195409 0.112820i −0.399103 0.916906i \(-0.630678\pi\)
0.594512 + 0.804086i \(0.297345\pi\)
\(770\) −1.05497 + 2.30864i −0.0380186 + 0.0831975i
\(771\) −10.5776 6.82601i −0.380944 0.245833i
\(772\) −4.96759 10.7376i −0.178788 0.386454i
\(773\) −9.88044 17.1134i −0.355375 0.615527i 0.631807 0.775125i \(-0.282313\pi\)
−0.987182 + 0.159598i \(0.948980\pi\)
\(774\) −35.4042 + 14.1200i −1.27258 + 0.507532i
\(775\) −0.515735 + 0.893279i −0.0185257 + 0.0320875i
\(776\) 2.19056 2.82818i 0.0786365 0.101526i
\(777\) −12.8404 + 27.7795i −0.460646 + 0.996586i
\(778\) 7.20395 + 13.8898i 0.258274 + 0.497974i
\(779\) 1.93202 0.0692220
\(780\) 9.59782 12.2810i 0.343657 0.439732i
\(781\) 2.75785i 0.0986836i
\(782\) 2.88103 + 1.84154i 0.103026 + 0.0658534i
\(783\) 24.6470 + 19.6089i 0.880812 + 0.700765i
\(784\) −27.8611 + 2.78542i −0.995040 + 0.0994793i
\(785\) 4.05856 7.02964i 0.144856 0.250899i
\(786\) 24.5993 + 2.33470i 0.877430 + 0.0832759i
\(787\) 0.658376 + 0.380113i 0.0234686 + 0.0135496i 0.511688 0.859171i \(-0.329020\pi\)
−0.488220 + 0.872721i \(0.662354\pi\)
\(788\) −37.9598 26.7509i −1.35226 0.952963i
\(789\) 7.95846 + 5.13579i 0.283329 + 0.182839i
\(790\) −1.60075 + 2.50433i −0.0569522 + 0.0891000i
\(791\) 44.7866 + 18.0698i 1.59243 + 0.642490i
\(792\) −2.60087 + 0.773882i −0.0924179 + 0.0274987i
\(793\) 13.4797 23.3475i 0.478678 0.829094i
\(794\) 2.18789 48.4329i 0.0776455 1.71882i
\(795\) −1.59581 + 32.2237i −0.0565975 + 1.14286i
\(796\) −18.6903 1.69208i −0.662461 0.0599741i
\(797\) −1.36037 2.35622i −0.0481866 0.0834617i 0.840926 0.541150i \(-0.182011\pi\)
−0.889113 + 0.457688i \(0.848678\pi\)
\(798\) 0.267885 + 5.88577i 0.00948303 + 0.208354i
\(799\) −3.81594 2.20313i −0.134998 0.0779412i
\(800\) −2.07147 1.92712i −0.0732376 0.0681341i
\(801\) 5.13516 51.7192i 0.181442 1.82741i
\(802\) −23.5299 + 12.2037i −0.830868 + 0.430929i
\(803\) −4.07012 + 2.34989i −0.143631 + 0.0829257i
\(804\) −38.0097 5.34743i −1.34050 0.188589i
\(805\) 7.14521 + 9.13638i 0.251836 + 0.322015i
\(806\) 5.49165 2.84824i 0.193435 0.100325i
\(807\) −14.8741 0.736606i −0.523591 0.0259297i
\(808\) 0.252021 1.84951i 0.00886606 0.0650657i
\(809\) 17.8859 + 30.9794i 0.628836 + 1.08918i 0.987786 + 0.155820i \(0.0498018\pi\)
−0.358949 + 0.933357i \(0.616865\pi\)
\(810\) −6.49842 + 26.2058i −0.228331 + 0.920780i
\(811\) 26.6536i 0.935934i −0.883746 0.467967i \(-0.844987\pi\)
0.883746 0.467967i \(-0.155013\pi\)
\(812\) −14.6336 + 28.5409i −0.513540 + 1.00159i
\(813\) −3.73622 7.28087i −0.131035 0.255351i
\(814\) −3.01723 0.136300i −0.105754 0.00477730i
\(815\) 16.9996 29.4441i 0.595470 1.03138i
\(816\) −7.75889 + 2.34533i −0.271616 + 0.0821031i
\(817\) −7.07343 + 4.08384i −0.247468 + 0.142876i
\(818\) 38.0104 + 1.71707i 1.32900 + 0.0600361i
\(819\) 0.692481 + 16.8215i 0.0241972 + 0.587790i
\(820\) −0.812913 + 8.97927i −0.0283882 + 0.313570i
\(821\) 28.7203 16.5817i 1.00235 0.578705i 0.0934046 0.995628i \(-0.470225\pi\)
0.908942 + 0.416923i \(0.136892\pi\)
\(822\) 0.277961 2.92872i 0.00969501 0.102151i
\(823\) −29.1161 16.8102i −1.01492 0.585966i −0.102294 0.994754i \(-0.532618\pi\)
−0.912629 + 0.408788i \(0.865952\pi\)
\(824\) −4.66140 + 34.2088i −0.162388 + 1.19172i
\(825\) 0.150215 0.232774i 0.00522981 0.00810416i
\(826\) 29.0016 20.6417i 1.00909 0.718215i
\(827\) −24.1898 −0.841161 −0.420581 0.907255i \(-0.638174\pi\)
−0.420581 + 0.907255i \(0.638174\pi\)
\(828\) −2.33266 + 12.1782i −0.0810655 + 0.423223i
\(829\) 16.4721 + 28.5306i 0.572101 + 0.990908i 0.996350 + 0.0853625i \(0.0272048\pi\)
−0.424249 + 0.905546i \(0.639462\pi\)
\(830\) 6.38371 + 0.288376i 0.221582 + 0.0100097i
\(831\) 20.5030 + 13.2311i 0.711242 + 0.458982i
\(832\) 4.24320 + 16.4297i 0.147106 + 0.569599i
\(833\) −2.26495 7.87018i −0.0784758 0.272686i
\(834\) 11.4465 + 25.0264i 0.396361 + 0.866593i
\(835\) −14.3608 24.8736i −0.496975 0.860787i
\(836\) −0.527736 + 0.244150i −0.0182521 + 0.00844410i
\(837\) −6.67174 + 8.38591i −0.230609 + 0.289859i
\(838\) 20.8359 32.5971i 0.719764 1.12605i
\(839\) −18.6114 + 32.2359i −0.642536 + 1.11291i 0.342328 + 0.939580i \(0.388784\pi\)
−0.984865 + 0.173325i \(0.944549\pi\)
\(840\) −27.4674 1.23146i −0.947716 0.0424893i
\(841\) 3.87008 + 6.70317i 0.133451 + 0.231144i
\(842\) 9.83033 + 0.444073i 0.338776 + 0.0153037i
\(843\) −2.54282 4.95527i −0.0875795 0.170669i
\(844\) 12.2754 + 1.11131i 0.422535 + 0.0382530i
\(845\) −9.01644 + 15.6169i −0.310175 + 0.537239i
\(846\) 2.29470 15.8131i 0.0788933 0.543665i
\(847\) −22.7119 + 17.7621i −0.780390 + 0.610314i
\(848\) −26.7699 22.7395i −0.919283 0.780879i
\(849\) 41.5359 21.3144i 1.42551 0.731508i
\(850\) 0.445681 0.697254i 0.0152867 0.0239156i
\(851\) −6.90065 + 11.9523i −0.236551 + 0.409719i
\(852\) −27.6999 + 11.1869i −0.948983 + 0.383257i
\(853\) 22.9225 39.7029i 0.784850 1.35940i −0.144239 0.989543i \(-0.546073\pi\)
0.929089 0.369857i \(-0.120593\pi\)
\(854\) −47.3425 + 4.50944i −1.62003 + 0.154310i
\(855\) −0.571637 + 5.75729i −0.0195496 + 0.196895i
\(856\) −34.0977 26.4103i −1.16543 0.902685i
\(857\) 17.9274i 0.612390i −0.951969 0.306195i \(-0.900944\pi\)
0.951969 0.306195i \(-0.0990559\pi\)
\(858\) −1.51099 + 0.691097i −0.0515845 + 0.0235937i
\(859\) 10.7566i 0.367009i 0.983019 + 0.183504i \(0.0587442\pi\)
−0.983019 + 0.183504i \(0.941256\pi\)
\(860\) −16.0039 34.5927i −0.545727 1.17960i
\(861\) −5.61257 7.95854i −0.191276 0.271226i
\(862\) 9.47705 14.8265i 0.322790 0.504994i
\(863\) −11.0595 6.38520i −0.376470 0.217355i 0.299811 0.953998i \(-0.403076\pi\)
−0.676281 + 0.736644i \(0.736410\pi\)
\(864\) −18.3230 22.9841i −0.623362 0.781933i
\(865\) −18.8238 32.6037i −0.640027 1.10856i
\(866\) 6.24161 + 12.0343i 0.212098 + 0.408944i
\(867\) 12.3607 + 24.0877i 0.419793 + 0.818062i
\(868\) −9.71076 4.97896i −0.329605 0.168997i
\(869\) 0.274391 0.158420i 0.00930809 0.00537403i
\(870\) −18.2543 + 25.6658i −0.618879 + 0.870151i
\(871\) −23.5029 −0.796366
\(872\) 2.00126 + 4.89406i 0.0677713 + 0.165734i
\(873\) −0.374891 + 3.77574i −0.0126881 + 0.127790i
\(874\) −0.119907 + 2.65435i −0.00405591 + 0.0897846i
\(875\) 24.3159 19.0166i 0.822029 0.642877i
\(876\) −40.1123 31.3483i −1.35527 1.05916i
\(877\) 5.53644i 0.186952i −0.995622 0.0934761i \(-0.970202\pi\)
0.995622 0.0934761i \(-0.0297979\pi\)
\(878\) 31.1010 + 19.8796i 1.04961 + 0.670904i
\(879\) 16.1001 + 0.797325i 0.543044 + 0.0268931i
\(880\) −0.912662 2.55543i −0.0307658 0.0861436i
\(881\) 0.926054i 0.0311996i −0.999878 0.0155998i \(-0.995034\pi\)
0.999878 0.0155998i \(-0.00496576\pi\)
\(882\) 23.4669 18.2018i 0.790172 0.612885i
\(883\) −8.89286 −0.299269 −0.149634 0.988741i \(-0.547810\pi\)
−0.149634 + 0.988741i \(0.547810\pi\)
\(884\) −4.50445 + 2.08392i −0.151501 + 0.0700900i
\(885\) 31.0996 15.9589i 1.04540 0.536453i
\(886\) −24.6241 15.7396i −0.827263 0.528782i
\(887\) −23.5154 −0.789571 −0.394786 0.918773i \(-0.629181\pi\)
−0.394786 + 0.918773i \(0.629181\pi\)
\(888\) −10.8701 30.8580i −0.364775 1.03553i
\(889\) 33.2321 + 42.4929i 1.11457 + 1.42517i
\(890\) 51.9197 + 2.34541i 1.74035 + 0.0786182i
\(891\) 1.90113 2.16092i 0.0636901 0.0723935i
\(892\) 9.77972 + 21.1391i 0.327449 + 0.707789i
\(893\) 3.42400i 0.114580i
\(894\) 30.9731 + 2.93962i 1.03589 + 0.0983156i
\(895\) 21.5187 + 37.2714i 0.719290 + 1.24585i
\(896\) 19.2719 22.9040i 0.643829 0.765169i
\(897\) −0.375538 + 7.58312i −0.0125388 + 0.253193i
\(898\) 24.2021 12.5524i 0.807635 0.418879i
\(899\) −10.8257 + 6.25024i −0.361059 + 0.208457i
\(900\) 2.94732 + 0.564539i 0.0982440 + 0.0188180i
\(901\) 5.13668 8.89700i 0.171128 0.296402i
\(902\) 0.517627 0.809812i 0.0172351 0.0269638i
\(903\) 37.3709 + 17.2738i 1.24363 + 0.574834i
\(904\) −47.7879 + 19.5413i −1.58940 + 0.649934i
\(905\) −29.5289 −0.981575
\(906\) −22.2769 2.11427i −0.740100 0.0702421i
\(907\) 2.48609 0.0825492 0.0412746 0.999148i \(-0.486858\pi\)
0.0412746 + 0.999148i \(0.486858\pi\)
\(908\) −26.8721 18.9372i −0.891780 0.628453i
\(909\) 0.815667 + 1.80400i 0.0270540 + 0.0598351i
\(910\) −16.7596 + 1.59638i −0.555575 + 0.0529194i
\(911\) 9.66607 + 5.58071i 0.320251 + 0.184897i 0.651505 0.758645i \(-0.274138\pi\)
−0.331253 + 0.943542i \(0.607471\pi\)
\(912\) −4.59295 4.31022i −0.152088 0.142726i
\(913\) −0.589938 0.340601i −0.0195241 0.0112722i
\(914\) −10.3177 6.59500i −0.341278 0.218143i
\(915\) −46.6419 2.30984i −1.54193 0.0763609i
\(916\) 24.6975 35.0460i 0.816029 1.15795i
\(917\) −16.4420 21.0239i −0.542962 0.694270i
\(918\) 5.65074 6.47941i 0.186502 0.213852i
\(919\) −28.9323 16.7041i −0.954390 0.551017i −0.0599482 0.998201i \(-0.519094\pi\)
−0.894442 + 0.447184i \(0.852427\pi\)
\(920\) −12.2859 1.67411i −0.405054 0.0551939i
\(921\) 40.1042 + 25.8802i 1.32148 + 0.852781i
\(922\) −0.678176 + 15.0126i −0.0223345 + 0.494414i
\(923\) −15.8412 + 9.14595i −0.521421 + 0.301043i
\(924\) 2.53880 + 1.46463i 0.0835205 + 0.0481828i
\(925\) 2.89263 + 1.67006i 0.0951092 + 0.0549113i
\(926\) 19.1888 30.0203i 0.630583 0.986527i
\(927\) −15.0867 33.3671i −0.495511 1.09592i
\(928\) −10.0635 32.7782i −0.330351 1.07600i
\(929\) 40.9697 23.6539i 1.34417 0.776058i 0.356755 0.934198i \(-0.383883\pi\)
0.987417 + 0.158140i \(0.0505496\pi\)
\(930\) −8.73253 6.21085i −0.286351 0.203662i
\(931\) 4.41635 4.58209i 0.144740 0.150172i
\(932\) −18.8069 40.6517i −0.616042 1.33159i
\(933\) 16.6684 + 32.4822i 0.545700 + 1.06342i
\(934\) −17.3239 0.782583i −0.566854 0.0256069i
\(935\) 0.687335 0.396833i 0.0224783 0.0129778i
\(936\) −13.0706 12.3731i −0.427225 0.404428i
\(937\) 40.0462i 1.30825i −0.756386 0.654126i \(-0.773037\pi\)
0.756386 0.654126i \(-0.226963\pi\)
\(938\) 24.0409 + 33.7775i 0.784964 + 1.10288i
\(939\) −1.46474 + 29.5771i −0.0478000 + 0.965211i
\(940\) 15.9134 + 1.44067i 0.519037 + 0.0469895i
\(941\) 5.61971 9.73363i 0.183197 0.317307i −0.759770 0.650192i \(-0.774689\pi\)
0.942968 + 0.332884i \(0.108022\pi\)
\(942\) −7.63815 5.43249i −0.248864 0.177000i
\(943\) −2.19590 3.80341i −0.0715082 0.123856i
\(944\) −6.83441 + 37.4364i −0.222441 + 1.21845i
\(945\) 25.3765 14.3703i 0.825497 0.467466i
\(946\) −0.183359 + 4.05898i −0.00596153 + 0.131969i
\(947\) 20.7400 + 35.9227i 0.673959 + 1.16733i 0.976772 + 0.214281i \(0.0687409\pi\)
−0.302813 + 0.953050i \(0.597926\pi\)
\(948\) 2.70421 + 2.11338i 0.0878287 + 0.0686394i
\(949\) −26.9958 15.5860i −0.876319 0.505943i
\(950\) 0.642393 + 0.0290193i 0.0208420 + 0.000941509i
\(951\) 1.50835 30.4577i 0.0489117 0.987659i
\(952\) 7.60251 + 4.34201i 0.246399 + 0.140725i
\(953\) −42.6315 −1.38097 −0.690485 0.723347i \(-0.742603\pi\)
−0.690485 + 0.723347i \(0.742603\pi\)
\(954\) 36.8688 + 5.35017i 1.19367 + 0.173218i
\(955\) −29.2160 + 16.8679i −0.945407 + 0.545831i
\(956\) −1.16974 + 12.9207i −0.0378321 + 0.417886i
\(957\) 2.98708 1.53284i 0.0965585 0.0495495i
\(958\) −42.1863 + 21.8799i −1.36298 + 0.706907i
\(959\) −2.50303 + 1.95753i −0.0808272 + 0.0632118i
\(960\) 21.9647 19.5326i 0.708908 0.630413i
\(961\) 13.3734 + 23.1634i 0.431400 + 0.747208i
\(962\) −9.22323 17.7832i −0.297369 0.573352i
\(963\) 45.5219 + 4.51983i 1.46692 + 0.145650i
\(964\) −34.1020 24.0323i −1.09835 0.774027i
\(965\) −6.27423 + 10.8673i −0.201974 + 0.349830i
\(966\) 11.2823 7.21700i 0.363003 0.232203i
\(967\) 40.4202 23.3366i 1.29982 0.750454i 0.319451 0.947603i \(-0.396502\pi\)
0.980374 + 0.197149i \(0.0631682\pi\)
\(968\) 4.16164 30.5412i 0.133760 0.981631i
\(969\) 0.998924 1.54794i 0.0320901 0.0497270i
\(970\) −3.79038 0.171226i −0.121702 0.00549772i
\(971\) 30.1279 + 17.3944i 0.966852 + 0.558212i 0.898275 0.439434i \(-0.144821\pi\)
0.0685766 + 0.997646i \(0.478154\pi\)
\(972\) 29.4160 + 10.3294i 0.943520 + 0.331316i
\(973\) 11.1218 27.5658i 0.356550 0.883718i
\(974\) −17.9735 + 28.1190i −0.575909 + 0.900991i
\(975\) 1.83523 + 0.0908859i 0.0587744 + 0.00291068i
\(976\) 32.9141 38.7479i 1.05356 1.24029i
\(977\) −12.9757 + 22.4746i −0.415130 + 0.719026i −0.995442 0.0953683i \(-0.969597\pi\)
0.580312 + 0.814394i \(0.302930\pi\)
\(978\) −31.9929 22.7544i −1.02302 0.727605i
\(979\) −4.79806 2.77016i −0.153347 0.0885346i
\(980\) 19.4375 + 22.4534i 0.620908 + 0.717247i
\(981\) −4.55599 3.27023i −0.145462 0.104410i
\(982\) −6.31297 4.03522i −0.201455 0.128769i
\(983\) −32.2213 −1.02770 −0.513851 0.857880i \(-0.671781\pi\)
−0.513851 + 0.857880i \(0.671781\pi\)
\(984\) 10.2335 + 1.91415i 0.326231 + 0.0610209i
\(985\) 49.2549i 1.56939i
\(986\) 8.90267 4.61737i 0.283519 0.147047i
\(987\) −14.1044 + 9.94678i −0.448948 + 0.316609i
\(988\) −3.15256 2.22166i −0.100296 0.0706805i
\(989\) 16.0790 + 9.28322i 0.511283 + 0.295189i
\(990\) 2.26003 + 1.78209i 0.0718283 + 0.0566387i
\(991\) 53.7921 31.0569i 1.70876 0.986554i 0.772664 0.634815i \(-0.218924\pi\)
0.936098 0.351739i \(-0.114410\pi\)
\(992\) 11.1525 3.42402i 0.354091 0.108713i
\(993\) −16.5602 0.820108i −0.525522 0.0260254i
\(994\) 29.3481 + 13.4112i 0.930866 + 0.425376i
\(995\) 9.95242 + 17.2381i 0.315513 + 0.546484i
\(996\) 1.02798 7.30696i 0.0325729 0.231530i
\(997\) 15.5662 0.492986 0.246493 0.969145i \(-0.420722\pi\)
0.246493 + 0.969145i \(0.420722\pi\)
\(998\) 18.0376 9.35520i 0.570970 0.296134i
\(999\) 27.1554 + 21.6046i 0.859159 + 0.683538i
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 504.2.cz.b.187.15 yes 180
7.3 odd 6 504.2.bf.b.115.47 180
8.3 odd 2 inner 504.2.cz.b.187.74 yes 180
9.4 even 3 504.2.bf.b.355.47 yes 180
56.3 even 6 504.2.bf.b.115.48 yes 180
63.31 odd 6 inner 504.2.cz.b.283.74 yes 180
72.67 odd 6 504.2.bf.b.355.48 yes 180
504.283 even 6 inner 504.2.cz.b.283.15 yes 180
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
504.2.bf.b.115.47 180 7.3 odd 6
504.2.bf.b.115.48 yes 180 56.3 even 6
504.2.bf.b.355.47 yes 180 9.4 even 3
504.2.bf.b.355.48 yes 180 72.67 odd 6
504.2.cz.b.187.15 yes 180 1.1 even 1 trivial
504.2.cz.b.187.74 yes 180 8.3 odd 2 inner
504.2.cz.b.283.15 yes 180 504.283 even 6 inner
504.2.cz.b.283.74 yes 180 63.31 odd 6 inner