Properties

Label 630.2.t.b.311.4
Level 630
Weight 2
Character 630.311
Analytic conductor 5.031
Analytic rank 0
Dimension 28
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 630.t (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.03057532734\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.4
Character \(\chi\) \(=\) 630.311
Dual form 630.2.t.b.551.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.404488 - 1.68416i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(-1.19238 + 1.25628i) q^{6} +(1.07313 + 2.41835i) q^{7} -1.00000i q^{8} +(-2.67278 - 1.36244i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.404488 - 1.68416i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(-1.19238 + 1.25628i) q^{6} +(1.07313 + 2.41835i) q^{7} -1.00000i q^{8} +(-2.67278 - 1.36244i) q^{9} +(0.866025 + 0.500000i) q^{10} +4.51143i q^{11} +(1.66077 - 0.491782i) q^{12} +(1.92602 + 1.11199i) q^{13} +(0.279818 - 2.63091i) q^{14} +(-0.404488 + 1.68416i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.31479 + 5.74138i) q^{17} +(1.63347 + 2.51630i) q^{18} +(6.71016 - 3.87412i) q^{19} +(-0.500000 - 0.866025i) q^{20} +(4.50695 - 0.829123i) q^{21} +(2.25571 - 3.90701i) q^{22} +5.02232i q^{23} +(-1.68416 - 0.404488i) q^{24} +1.00000 q^{25} +(-1.11199 - 1.92602i) q^{26} +(-3.37568 + 3.95029i) q^{27} +(-1.55779 + 2.13853i) q^{28} +(1.08021 - 0.623662i) q^{29} +(1.19238 - 1.25628i) q^{30} +(-4.32162 + 2.49509i) q^{31} +(0.866025 - 0.500000i) q^{32} +(7.59796 + 1.82482i) q^{33} +(5.74138 - 3.31479i) q^{34} +(-1.07313 - 2.41835i) q^{35} +(-0.156478 - 2.99592i) q^{36} +(-0.475116 - 0.822924i) q^{37} -7.74823 q^{38} +(2.65181 - 2.79393i) q^{39} +1.00000i q^{40} +(4.31268 - 7.46978i) q^{41} +(-4.31769 - 1.53543i) q^{42} +(4.87159 + 8.43784i) q^{43} +(-3.90701 + 2.25571i) q^{44} +(2.67278 + 1.36244i) q^{45} +(2.51116 - 4.34946i) q^{46} +(2.53212 - 4.38576i) q^{47} +(1.25628 + 1.19238i) q^{48} +(-4.69680 + 5.19038i) q^{49} +(-0.866025 - 0.500000i) q^{50} +(8.32860 + 7.90495i) q^{51} +2.22397i q^{52} +(-4.68518 - 2.70499i) q^{53} +(4.89857 - 1.73321i) q^{54} -4.51143i q^{55} +(2.41835 - 1.07313i) q^{56} +(-3.81044 - 12.8680i) q^{57} -1.24732 q^{58} +(-1.63861 - 2.83816i) q^{59} +(-1.66077 + 0.491782i) q^{60} +(9.88563 + 5.70747i) q^{61} +4.99018 q^{62} +(0.426632 - 7.92578i) q^{63} -1.00000 q^{64} +(-1.92602 - 1.11199i) q^{65} +(-5.66761 - 5.37932i) q^{66} +(-2.76915 - 4.79631i) q^{67} -6.62958 q^{68} +(8.45839 + 2.03147i) q^{69} +(-0.279818 + 2.63091i) q^{70} -9.57979i q^{71} +(-1.36244 + 2.67278i) q^{72} +(1.11202 + 0.642023i) q^{73} +0.950231i q^{74} +(0.404488 - 1.68416i) q^{75} +(6.71016 + 3.87412i) q^{76} +(-10.9102 + 4.84133i) q^{77} +(-3.69350 + 1.09371i) q^{78} +(1.98062 - 3.43054i) q^{79} +(0.500000 - 0.866025i) q^{80} +(5.28749 + 7.28302i) q^{81} +(-7.46978 + 4.31268i) q^{82} +(5.71593 + 9.90029i) q^{83} +(2.97151 + 3.48857i) q^{84} +(3.31479 - 5.74138i) q^{85} -9.74318i q^{86} +(-0.613411 - 2.07151i) q^{87} +4.51143 q^{88} +(8.89050 + 15.3988i) q^{89} +(-1.63347 - 2.51630i) q^{90} +(-0.622308 + 5.85108i) q^{91} +(-4.34946 + 2.51116i) q^{92} +(2.45408 + 8.28752i) q^{93} +(-4.38576 + 2.53212i) q^{94} +(-6.71016 + 3.87412i) q^{95} +(-0.491782 - 1.66077i) q^{96} +(-7.24779 + 4.18451i) q^{97} +(6.66274 - 2.14660i) q^{98} +(6.14657 - 12.0580i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} - 4q^{12} + 6q^{14} + 2q^{15} - 14q^{16} - 6q^{17} - 4q^{18} - 6q^{19} - 14q^{20} + 6q^{21} - 6q^{22} - 4q^{24} + 28q^{25} + 12q^{26} + 28q^{27} - 8q^{28} + 8q^{30} - 12q^{31} + 26q^{33} + 4q^{35} - 6q^{36} + 4q^{37} - 12q^{38} + 54q^{39} + 18q^{41} - 32q^{42} + 28q^{43} - 6q^{45} - 18q^{46} + 30q^{47} - 2q^{48} - 14q^{49} + 34q^{51} - 42q^{53} + 14q^{54} + 6q^{56} - 30q^{57} - 12q^{58} - 24q^{59} + 4q^{60} + 24q^{61} - 12q^{62} + 44q^{63} - 28q^{64} - 10q^{66} - 40q^{67} - 12q^{68} + 8q^{69} - 6q^{70} + 4q^{72} + 6q^{73} - 2q^{75} - 6q^{76} - 24q^{77} + 14q^{78} + 2q^{79} + 14q^{80} - 46q^{81} + 24q^{82} - 18q^{83} + 18q^{84} + 6q^{85} + 104q^{87} - 12q^{88} + 6q^{89} + 4q^{90} + 66q^{91} - 30q^{92} + 40q^{93} + 42q^{94} + 6q^{95} + 4q^{96} - 72q^{97} - 24q^{98} - 42q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 0.404488 1.68416i 0.233531 0.972349i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.00000 −0.447214
\(6\) −1.19238 + 1.25628i −0.486786 + 0.512874i
\(7\) 1.07313 + 2.41835i 0.405604 + 0.914049i
\(8\) 1.00000i 0.353553i
\(9\) −2.67278 1.36244i −0.890926 0.454148i
\(10\) 0.866025 + 0.500000i 0.273861 + 0.158114i
\(11\) 4.51143i 1.36025i 0.733098 + 0.680123i \(0.238074\pi\)
−0.733098 + 0.680123i \(0.761926\pi\)
\(12\) 1.66077 0.491782i 0.479422 0.141965i
\(13\) 1.92602 + 1.11199i 0.534181 + 0.308410i 0.742717 0.669605i \(-0.233537\pi\)
−0.208536 + 0.978015i \(0.566870\pi\)
\(14\) 0.279818 2.63091i 0.0747846 0.703141i
\(15\) −0.404488 + 1.68416i −0.104438 + 0.434848i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −3.31479 + 5.74138i −0.803954 + 1.39249i 0.113041 + 0.993590i \(0.463941\pi\)
−0.916995 + 0.398899i \(0.869392\pi\)
\(18\) 1.63347 + 2.51630i 0.385013 + 0.593098i
\(19\) 6.71016 3.87412i 1.53942 0.888783i 0.540545 0.841315i \(-0.318218\pi\)
0.998873 0.0474677i \(-0.0151151\pi\)
\(20\) −0.500000 0.866025i −0.111803 0.193649i
\(21\) 4.50695 0.829123i 0.983496 0.180929i
\(22\) 2.25571 3.90701i 0.480920 0.832977i
\(23\) 5.02232i 1.04723i 0.851956 + 0.523613i \(0.175416\pi\)
−0.851956 + 0.523613i \(0.824584\pi\)
\(24\) −1.68416 0.404488i −0.343777 0.0825658i
\(25\) 1.00000 0.200000
\(26\) −1.11199 1.92602i −0.218078 0.377723i
\(27\) −3.37568 + 3.95029i −0.649650 + 0.760234i
\(28\) −1.55779 + 2.13853i −0.294394 + 0.404144i
\(29\) 1.08021 0.623662i 0.200591 0.115811i −0.396340 0.918104i \(-0.629720\pi\)
0.596931 + 0.802293i \(0.296387\pi\)
\(30\) 1.19238 1.25628i 0.217697 0.229364i
\(31\) −4.32162 + 2.49509i −0.776186 + 0.448131i −0.835077 0.550133i \(-0.814577\pi\)
0.0588911 + 0.998264i \(0.481244\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 7.59796 + 1.82482i 1.32263 + 0.317660i
\(34\) 5.74138 3.31479i 0.984639 0.568481i
\(35\) −1.07313 2.41835i −0.181392 0.408775i
\(36\) −0.156478 2.99592i −0.0260797 0.499319i
\(37\) −0.475116 0.822924i −0.0781085 0.135288i 0.824325 0.566116i \(-0.191555\pi\)
−0.902434 + 0.430828i \(0.858221\pi\)
\(38\) −7.74823 −1.25693
\(39\) 2.65181 2.79393i 0.424630 0.447387i
\(40\) 1.00000i 0.158114i
\(41\) 4.31268 7.46978i 0.673527 1.16658i −0.303370 0.952873i \(-0.598112\pi\)
0.976897 0.213711i \(-0.0685550\pi\)
\(42\) −4.31769 1.53543i −0.666234 0.236922i
\(43\) 4.87159 + 8.43784i 0.742911 + 1.28676i 0.951165 + 0.308684i \(0.0998887\pi\)
−0.208254 + 0.978075i \(0.566778\pi\)
\(44\) −3.90701 + 2.25571i −0.589004 + 0.340062i
\(45\) 2.67278 + 1.36244i 0.398434 + 0.203101i
\(46\) 2.51116 4.34946i 0.370251 0.641293i
\(47\) 2.53212 4.38576i 0.369348 0.639729i −0.620116 0.784510i \(-0.712914\pi\)
0.989464 + 0.144781i \(0.0462478\pi\)
\(48\) 1.25628 + 1.19238i 0.181328 + 0.172105i
\(49\) −4.69680 + 5.19038i −0.670971 + 0.741483i
\(50\) −0.866025 0.500000i −0.122474 0.0707107i
\(51\) 8.32860 + 7.90495i 1.16624 + 1.10691i
\(52\) 2.22397i 0.308410i
\(53\) −4.68518 2.70499i −0.643559 0.371559i 0.142425 0.989806i \(-0.454510\pi\)
−0.785984 + 0.618246i \(0.787843\pi\)
\(54\) 4.89857 1.73321i 0.666611 0.235860i
\(55\) 4.51143i 0.608321i
\(56\) 2.41835 1.07313i 0.323165 0.143403i
\(57\) −3.81044 12.8680i −0.504705 1.70441i
\(58\) −1.24732 −0.163782
\(59\) −1.63861 2.83816i −0.213329 0.369497i 0.739425 0.673239i \(-0.235097\pi\)
−0.952754 + 0.303742i \(0.901764\pi\)
\(60\) −1.66077 + 0.491782i −0.214404 + 0.0634888i
\(61\) 9.88563 + 5.70747i 1.26573 + 0.730767i 0.974176 0.225789i \(-0.0724960\pi\)
0.291549 + 0.956556i \(0.405829\pi\)
\(62\) 4.99018 0.633753
\(63\) 0.426632 7.92578i 0.0537505 0.998554i
\(64\) −1.00000 −0.125000
\(65\) −1.92602 1.11199i −0.238893 0.137925i
\(66\) −5.66761 5.37932i −0.697635 0.662148i
\(67\) −2.76915 4.79631i −0.338306 0.585963i 0.645808 0.763500i \(-0.276521\pi\)
−0.984114 + 0.177537i \(0.943187\pi\)
\(68\) −6.62958 −0.803954
\(69\) 8.45839 + 2.03147i 1.01827 + 0.244560i
\(70\) −0.279818 + 2.63091i −0.0334447 + 0.314454i
\(71\) 9.57979i 1.13691i −0.822714 0.568456i \(-0.807541\pi\)
0.822714 0.568456i \(-0.192459\pi\)
\(72\) −1.36244 + 2.67278i −0.160566 + 0.314990i
\(73\) 1.11202 + 0.642023i 0.130152 + 0.0751431i 0.563662 0.826005i \(-0.309392\pi\)
−0.433511 + 0.901148i \(0.642725\pi\)
\(74\) 0.950231i 0.110462i
\(75\) 0.404488 1.68416i 0.0467063 0.194470i
\(76\) 6.71016 + 3.87412i 0.769709 + 0.444392i
\(77\) −10.9102 + 4.84133i −1.24333 + 0.551721i
\(78\) −3.69350 + 1.09371i −0.418207 + 0.123838i
\(79\) 1.98062 3.43054i 0.222837 0.385966i −0.732831 0.680411i \(-0.761801\pi\)
0.955668 + 0.294445i \(0.0951348\pi\)
\(80\) 0.500000 0.866025i 0.0559017 0.0968246i
\(81\) 5.28749 + 7.28302i 0.587499 + 0.809225i
\(82\) −7.46978 + 4.31268i −0.824899 + 0.476256i
\(83\) 5.71593 + 9.90029i 0.627405 + 1.08670i 0.988070 + 0.154003i \(0.0492164\pi\)
−0.360665 + 0.932695i \(0.617450\pi\)
\(84\) 2.97151 + 3.48857i 0.324219 + 0.380634i
\(85\) 3.31479 5.74138i 0.359539 0.622740i
\(86\) 9.74318i 1.05063i
\(87\) −0.613411 2.07151i −0.0657646 0.222090i
\(88\) 4.51143 0.480920
\(89\) 8.89050 + 15.3988i 0.942392 + 1.63227i 0.760892 + 0.648879i \(0.224762\pi\)
0.181500 + 0.983391i \(0.441905\pi\)
\(90\) −1.63347 2.51630i −0.172183 0.265241i
\(91\) −0.622308 + 5.85108i −0.0652356 + 0.613360i
\(92\) −4.34946 + 2.51116i −0.453463 + 0.261807i
\(93\) 2.45408 + 8.28752i 0.254476 + 0.859376i
\(94\) −4.38576 + 2.53212i −0.452357 + 0.261168i
\(95\) −6.71016 + 3.87412i −0.688448 + 0.397476i
\(96\) −0.491782 1.66077i −0.0501923 0.169501i
\(97\) −7.24779 + 4.18451i −0.735901 + 0.424873i −0.820577 0.571536i \(-0.806348\pi\)
0.0846758 + 0.996409i \(0.473015\pi\)
\(98\) 6.66274 2.14660i 0.673038 0.216840i
\(99\) 6.14657 12.0580i 0.617753 1.21188i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 11.6336 1.15759 0.578793 0.815475i \(-0.303524\pi\)
0.578793 + 0.815475i \(0.303524\pi\)
\(102\) −3.26031 11.0102i −0.322819 1.09017i
\(103\) 13.3778i 1.31815i −0.752077 0.659075i \(-0.770948\pi\)
0.752077 0.659075i \(-0.229052\pi\)
\(104\) 1.11199 1.92602i 0.109039 0.188862i
\(105\) −4.50695 + 0.829123i −0.439833 + 0.0809141i
\(106\) 2.70499 + 4.68518i 0.262732 + 0.455065i
\(107\) −9.50931 + 5.49020i −0.919300 + 0.530758i −0.883412 0.468598i \(-0.844759\pi\)
−0.0358882 + 0.999356i \(0.511426\pi\)
\(108\) −5.10889 0.948278i −0.491603 0.0912481i
\(109\) −7.73421 + 13.3960i −0.740803 + 1.28311i 0.211327 + 0.977415i \(0.432221\pi\)
−0.952130 + 0.305693i \(0.901112\pi\)
\(110\) −2.25571 + 3.90701i −0.215074 + 0.372519i
\(111\) −1.57811 + 0.467307i −0.149788 + 0.0443548i
\(112\) −2.63091 0.279818i −0.248598 0.0264403i
\(113\) −2.97068 1.71512i −0.279458 0.161345i 0.353720 0.935351i \(-0.384917\pi\)
−0.633178 + 0.774006i \(0.718250\pi\)
\(114\) −3.13407 + 13.0492i −0.293532 + 1.22217i
\(115\) 5.02232i 0.468334i
\(116\) 1.08021 + 0.623662i 0.100295 + 0.0579055i
\(117\) −3.63280 5.59618i −0.335852 0.517367i
\(118\) 3.27723i 0.301693i
\(119\) −17.4418 1.85508i −1.59889 0.170055i
\(120\) 1.68416 + 0.404488i 0.153742 + 0.0369245i
\(121\) −9.35297 −0.850270
\(122\) −5.70747 9.88563i −0.516730 0.895003i
\(123\) −10.8359 10.2847i −0.977037 0.927338i
\(124\) −4.32162 2.49509i −0.388093 0.224065i
\(125\) −1.00000 −0.0894427
\(126\) −4.33236 + 6.65061i −0.385958 + 0.592484i
\(127\) −4.42037 −0.392244 −0.196122 0.980579i \(-0.562835\pi\)
−0.196122 + 0.980579i \(0.562835\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 16.1812 4.79152i 1.42467 0.421870i
\(130\) 1.11199 + 1.92602i 0.0975277 + 0.168923i
\(131\) −8.34437 −0.729051 −0.364525 0.931193i \(-0.618769\pi\)
−0.364525 + 0.931193i \(0.618769\pi\)
\(132\) 2.21864 + 7.49243i 0.193108 + 0.652132i
\(133\) 16.5698 + 12.0701i 1.43678 + 1.04661i
\(134\) 5.53831i 0.478437i
\(135\) 3.37568 3.95029i 0.290532 0.339987i
\(136\) 5.74138 + 3.31479i 0.492319 + 0.284241i
\(137\) 11.4602i 0.979113i 0.871972 + 0.489556i \(0.162841\pi\)
−0.871972 + 0.489556i \(0.837159\pi\)
\(138\) −6.30944 5.98850i −0.537096 0.509775i
\(139\) −2.95770 1.70763i −0.250869 0.144839i 0.369293 0.929313i \(-0.379600\pi\)
−0.620162 + 0.784474i \(0.712933\pi\)
\(140\) 1.55779 2.13853i 0.131657 0.180739i
\(141\) −6.36210 6.03848i −0.535786 0.508532i
\(142\) −4.78989 + 8.29634i −0.401959 + 0.696214i
\(143\) −5.01664 + 8.68908i −0.419513 + 0.726618i
\(144\) 2.51630 1.63347i 0.209692 0.136123i
\(145\) −1.08021 + 0.623662i −0.0897069 + 0.0517923i
\(146\) −0.642023 1.11202i −0.0531342 0.0920311i
\(147\) 6.84163 + 10.0096i 0.564288 + 0.825578i
\(148\) 0.475116 0.822924i 0.0390543 0.0676440i
\(149\) 17.7452i 1.45374i −0.686775 0.726870i \(-0.740974\pi\)
0.686775 0.726870i \(-0.259026\pi\)
\(150\) −1.19238 + 1.25628i −0.0973571 + 0.102575i
\(151\) 1.40189 0.114085 0.0570423 0.998372i \(-0.481833\pi\)
0.0570423 + 0.998372i \(0.481833\pi\)
\(152\) −3.87412 6.71016i −0.314232 0.544266i
\(153\) 16.6820 10.8292i 1.34866 0.875491i
\(154\) 11.8692 + 1.26238i 0.956445 + 0.101725i
\(155\) 4.32162 2.49509i 0.347121 0.200410i
\(156\) 3.74552 + 0.899571i 0.299882 + 0.0720233i
\(157\) −13.6405 + 7.87534i −1.08863 + 0.628520i −0.933211 0.359329i \(-0.883006\pi\)
−0.155418 + 0.987849i \(0.549672\pi\)
\(158\) −3.43054 + 1.98062i −0.272919 + 0.157570i
\(159\) −6.45074 + 6.79645i −0.511577 + 0.538994i
\(160\) −0.866025 + 0.500000i −0.0684653 + 0.0395285i
\(161\) −12.1457 + 5.38959i −0.957217 + 0.424759i
\(162\) −0.937591 8.95103i −0.0736641 0.703259i
\(163\) −0.789054 1.36668i −0.0618035 0.107047i 0.833468 0.552568i \(-0.186352\pi\)
−0.895272 + 0.445521i \(0.853019\pi\)
\(164\) 8.62536 0.673527
\(165\) −7.59796 1.82482i −0.591500 0.142062i
\(166\) 11.4319i 0.887285i
\(167\) 4.60834 7.98188i 0.356604 0.617656i −0.630787 0.775956i \(-0.717268\pi\)
0.987391 + 0.158300i \(0.0506012\pi\)
\(168\) −0.829123 4.50695i −0.0639682 0.347718i
\(169\) −4.02697 6.97492i −0.309767 0.536532i
\(170\) −5.74138 + 3.31479i −0.440344 + 0.254233i
\(171\) −23.2131 + 1.21243i −1.77515 + 0.0927168i
\(172\) −4.87159 + 8.43784i −0.371455 + 0.643380i
\(173\) −1.26455 + 2.19027i −0.0961423 + 0.166523i −0.910085 0.414422i \(-0.863984\pi\)
0.813942 + 0.580945i \(0.197317\pi\)
\(174\) −0.504527 + 2.10069i −0.0382481 + 0.159253i
\(175\) 1.07313 + 2.41835i 0.0811207 + 0.182810i
\(176\) −3.90701 2.25571i −0.294502 0.170031i
\(177\) −5.44271 + 1.61168i −0.409099 + 0.121141i
\(178\) 17.7810i 1.33274i
\(179\) −9.58793 5.53559i −0.716635 0.413750i 0.0968777 0.995296i \(-0.469114\pi\)
−0.813513 + 0.581547i \(0.802448\pi\)
\(180\) 0.156478 + 2.99592i 0.0116632 + 0.223302i
\(181\) 17.6466i 1.31166i −0.754908 0.655831i \(-0.772318\pi\)
0.754908 0.655831i \(-0.227682\pi\)
\(182\) 3.46447 4.75603i 0.256804 0.352540i
\(183\) 13.6109 14.3404i 1.00615 1.06007i
\(184\) 5.02232 0.370251
\(185\) 0.475116 + 0.822924i 0.0349312 + 0.0605026i
\(186\) 2.01847 8.40425i 0.148001 0.616229i
\(187\) −25.9018 14.9544i −1.89413 1.09358i
\(188\) 5.06424 0.369348
\(189\) −13.1757 3.92440i −0.958391 0.285458i
\(190\) 7.74823 0.562116
\(191\) −8.00675 4.62270i −0.579348 0.334487i 0.181526 0.983386i \(-0.441896\pi\)
−0.760874 + 0.648899i \(0.775230\pi\)
\(192\) −0.404488 + 1.68416i −0.0291914 + 0.121544i
\(193\) 8.98854 + 15.5686i 0.647010 + 1.12065i 0.983833 + 0.179086i \(0.0573140\pi\)
−0.336824 + 0.941568i \(0.609353\pi\)
\(194\) 8.36903 0.600861
\(195\) −2.65181 + 2.79393i −0.189900 + 0.200078i
\(196\) −6.84340 1.47236i −0.488815 0.105168i
\(197\) 11.1779i 0.796394i 0.917300 + 0.398197i \(0.130364\pi\)
−0.917300 + 0.398197i \(0.869636\pi\)
\(198\) −11.3521 + 7.36929i −0.806759 + 0.523713i
\(199\) 2.62204 + 1.51384i 0.185872 + 0.107313i 0.590048 0.807368i \(-0.299109\pi\)
−0.404177 + 0.914681i \(0.632442\pi\)
\(200\) 1.00000i 0.0707107i
\(201\) −9.19784 + 2.72364i −0.648766 + 0.192111i
\(202\) −10.0750 5.81680i −0.708874 0.409268i
\(203\) 2.66744 + 1.94306i 0.187217 + 0.136376i
\(204\) −2.68158 + 11.1653i −0.187748 + 0.781724i
\(205\) −4.31268 + 7.46978i −0.301211 + 0.521712i
\(206\) −6.68888 + 11.5855i −0.466037 + 0.807199i
\(207\) 6.84263 13.4236i 0.475596 0.933002i
\(208\) −1.92602 + 1.11199i −0.133545 + 0.0771024i
\(209\) 17.4778 + 30.2724i 1.20896 + 2.09399i
\(210\) 4.31769 + 1.53543i 0.297949 + 0.105955i
\(211\) 8.99690 15.5831i 0.619372 1.07278i −0.370228 0.928941i \(-0.620721\pi\)
0.989601 0.143843i \(-0.0459461\pi\)
\(212\) 5.40998i 0.371559i
\(213\) −16.1339 3.87491i −1.10548 0.265505i
\(214\) 10.9804 0.750605
\(215\) −4.87159 8.43784i −0.332240 0.575456i
\(216\) 3.95029 + 3.37568i 0.268783 + 0.229686i
\(217\) −10.6716 7.77363i −0.724437 0.527708i
\(218\) 13.3960 7.73421i 0.907295 0.523827i
\(219\) 1.53106 1.61312i 0.103460 0.109005i
\(220\) 3.90701 2.25571i 0.263411 0.152080i
\(221\) −12.7687 + 7.37200i −0.858914 + 0.495894i
\(222\) 1.60034 + 0.384357i 0.107408 + 0.0257964i
\(223\) −10.6762 + 6.16390i −0.714931 + 0.412765i −0.812884 0.582426i \(-0.802104\pi\)
0.0979533 + 0.995191i \(0.468770\pi\)
\(224\) 2.13853 + 1.55779i 0.142886 + 0.104084i
\(225\) −2.67278 1.36244i −0.178185 0.0908296i
\(226\) 1.71512 + 2.97068i 0.114088 + 0.197607i
\(227\) 12.1983 0.809627 0.404813 0.914399i \(-0.367337\pi\)
0.404813 + 0.914399i \(0.367337\pi\)
\(228\) 9.23881 9.73395i 0.611855 0.644646i
\(229\) 12.2318i 0.808302i 0.914692 + 0.404151i \(0.132433\pi\)
−0.914692 + 0.404151i \(0.867567\pi\)
\(230\) −2.51116 + 4.34946i −0.165581 + 0.286795i
\(231\) 3.74053 + 20.3328i 0.246109 + 1.33780i
\(232\) −0.623662 1.08021i −0.0409454 0.0709195i
\(233\) −0.604674 + 0.349109i −0.0396135 + 0.0228709i −0.519676 0.854363i \(-0.673947\pi\)
0.480062 + 0.877234i \(0.340614\pi\)
\(234\) 0.348003 + 6.66284i 0.0227497 + 0.435563i
\(235\) −2.53212 + 4.38576i −0.165177 + 0.286096i
\(236\) 1.63861 2.83816i 0.106665 0.184749i
\(237\) −4.97643 4.72329i −0.323254 0.306811i
\(238\) 14.1775 + 10.3275i 0.918993 + 0.669430i
\(239\) −4.76888 2.75332i −0.308473 0.178097i 0.337770 0.941229i \(-0.390327\pi\)
−0.646243 + 0.763132i \(0.723661\pi\)
\(240\) −1.25628 1.19238i −0.0810925 0.0769675i
\(241\) 17.6732i 1.13843i 0.822188 + 0.569215i \(0.192753\pi\)
−0.822188 + 0.569215i \(0.807247\pi\)
\(242\) 8.09991 + 4.67648i 0.520682 + 0.300616i
\(243\) 14.4045 5.95908i 0.924049 0.382275i
\(244\) 11.4149i 0.730767i
\(245\) 4.69680 5.19038i 0.300067 0.331601i
\(246\) 4.24180 + 14.3247i 0.270447 + 0.913311i
\(247\) 17.2319 1.09644
\(248\) 2.49509 + 4.32162i 0.158438 + 0.274423i
\(249\) 18.9857 5.62199i 1.20317 0.356279i
\(250\) 0.866025 + 0.500000i 0.0547723 + 0.0316228i
\(251\) 27.8950 1.76072 0.880359 0.474308i \(-0.157302\pi\)
0.880359 + 0.474308i \(0.157302\pi\)
\(252\) 7.07724 3.59342i 0.445824 0.226364i
\(253\) −22.6578 −1.42449
\(254\) 3.82815 + 2.21018i 0.240199 + 0.138679i
\(255\) −8.32860 7.90495i −0.521557 0.495027i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 14.1508 0.882701 0.441351 0.897335i \(-0.354499\pi\)
0.441351 + 0.897335i \(0.354499\pi\)
\(258\) −16.4091 3.94100i −1.02158 0.245356i
\(259\) 1.48026 2.03210i 0.0919787 0.126268i
\(260\) 2.22397i 0.137925i
\(261\) −3.73688 + 0.195179i −0.231307 + 0.0120813i
\(262\) 7.22644 + 4.17218i 0.446451 + 0.257758i
\(263\) 30.7879i 1.89846i −0.314577 0.949232i \(-0.601863\pi\)
0.314577 0.949232i \(-0.398137\pi\)
\(264\) 1.82482 7.59796i 0.112310 0.467622i
\(265\) 4.68518 + 2.70499i 0.287809 + 0.166166i
\(266\) −8.31483 18.7379i −0.509815 1.14889i
\(267\) 29.5301 8.74438i 1.80721 0.535148i
\(268\) 2.76915 4.79631i 0.169153 0.292982i
\(269\) 0.272342 0.471711i 0.0166050 0.0287607i −0.857603 0.514311i \(-0.828048\pi\)
0.874209 + 0.485551i \(0.161381\pi\)
\(270\) −4.89857 + 1.73321i −0.298117 + 0.105480i
\(271\) 17.9370 10.3560i 1.08960 0.629079i 0.156128 0.987737i \(-0.450099\pi\)
0.933469 + 0.358657i \(0.116765\pi\)
\(272\) −3.31479 5.74138i −0.200989 0.348122i
\(273\) 9.60243 + 3.41476i 0.581165 + 0.206671i
\(274\) 5.73011 9.92484i 0.346169 0.599582i
\(275\) 4.51143i 0.272049i
\(276\) 2.46989 + 8.34091i 0.148670 + 0.502064i
\(277\) −17.4909 −1.05093 −0.525464 0.850816i \(-0.676108\pi\)
−0.525464 + 0.850816i \(0.676108\pi\)
\(278\) 1.70763 + 2.95770i 0.102417 + 0.177391i
\(279\) 14.9501 0.780854i 0.895042 0.0467485i
\(280\) −2.41835 + 1.07313i −0.144524 + 0.0641316i
\(281\) 15.8222 9.13496i 0.943874 0.544946i 0.0527014 0.998610i \(-0.483217\pi\)
0.891173 + 0.453664i \(0.149884\pi\)
\(282\) 2.49050 + 8.41053i 0.148307 + 0.500840i
\(283\) 7.97761 4.60587i 0.474219 0.273791i −0.243785 0.969829i \(-0.578389\pi\)
0.718004 + 0.696039i \(0.245056\pi\)
\(284\) 8.29634 4.78989i 0.492297 0.284228i
\(285\) 3.81044 + 12.8680i 0.225711 + 0.762235i
\(286\) 8.68908 5.01664i 0.513796 0.296640i
\(287\) 22.6926 + 2.41353i 1.33950 + 0.142466i
\(288\) −2.99592 + 0.156478i −0.176536 + 0.00922057i
\(289\) −13.4756 23.3405i −0.792685 1.37297i
\(290\) 1.24732 0.0732454
\(291\) 4.11574 + 13.8990i 0.241269 + 0.814774i
\(292\) 1.28405i 0.0751431i
\(293\) 6.24576 10.8180i 0.364881 0.631993i −0.623876 0.781523i \(-0.714443\pi\)
0.988757 + 0.149531i \(0.0477763\pi\)
\(294\) −0.920224 12.0894i −0.0536685 0.705067i
\(295\) 1.63861 + 2.83816i 0.0954037 + 0.165244i
\(296\) −0.822924 + 0.475116i −0.0478315 + 0.0276155i
\(297\) −17.8214 15.2291i −1.03410 0.883683i
\(298\) −8.87258 + 15.3678i −0.513975 + 0.890231i
\(299\) −5.58476 + 9.67308i −0.322975 + 0.559409i
\(300\) 1.66077 0.491782i 0.0958845 0.0283931i
\(301\) −15.1778 + 20.8361i −0.874834 + 1.20097i
\(302\) −1.21408 0.700947i −0.0698623 0.0403350i
\(303\) 4.70565 19.5928i 0.270333 1.12558i
\(304\) 7.74823i 0.444392i
\(305\) −9.88563 5.70747i −0.566049 0.326809i
\(306\) −19.8617 + 1.03738i −1.13542 + 0.0593033i
\(307\) 6.32444i 0.360955i −0.983579 0.180477i \(-0.942236\pi\)
0.983579 0.180477i \(-0.0577643\pi\)
\(308\) −9.64781 7.02784i −0.549735 0.400448i
\(309\) −22.5303 5.41115i −1.28170 0.307829i
\(310\) −4.99018 −0.283423
\(311\) 11.2784 + 19.5347i 0.639537 + 1.10771i 0.985534 + 0.169475i \(0.0542072\pi\)
−0.345998 + 0.938235i \(0.612459\pi\)
\(312\) −2.79393 2.65181i −0.158175 0.150129i
\(313\) 9.10717 + 5.25803i 0.514768 + 0.297201i 0.734791 0.678293i \(-0.237280\pi\)
−0.220024 + 0.975495i \(0.570613\pi\)
\(314\) 15.7507 0.888862
\(315\) −0.426632 + 7.92578i −0.0240380 + 0.446567i
\(316\) 3.96124 0.222837
\(317\) 9.22254 + 5.32463i 0.517989 + 0.299061i 0.736112 0.676860i \(-0.236660\pi\)
−0.218122 + 0.975921i \(0.569993\pi\)
\(318\) 8.98473 2.66053i 0.503839 0.149195i
\(319\) 2.81360 + 4.87330i 0.157532 + 0.272853i
\(320\) 1.00000 0.0559017
\(321\) 5.39997 + 18.2359i 0.301397 + 1.01783i
\(322\) 13.2133 + 1.40534i 0.736348 + 0.0783164i
\(323\) 51.3675i 2.85816i
\(324\) −3.66354 + 8.22061i −0.203530 + 0.456701i
\(325\) 1.92602 + 1.11199i 0.106836 + 0.0616819i
\(326\) 1.57811i 0.0874033i
\(327\) 19.4327 + 18.4442i 1.07463 + 1.01997i
\(328\) −7.46978 4.31268i −0.412450 0.238128i
\(329\) 13.3236 + 1.41707i 0.734553 + 0.0781255i
\(330\) 5.66761 + 5.37932i 0.311992 + 0.296122i
\(331\) 7.99412 13.8462i 0.439397 0.761057i −0.558246 0.829675i \(-0.688526\pi\)
0.997643 + 0.0686178i \(0.0218589\pi\)
\(332\) −5.71593 + 9.90029i −0.313703 + 0.543349i
\(333\) 0.148690 + 2.84681i 0.00814819 + 0.156004i
\(334\) −7.98188 + 4.60834i −0.436749 + 0.252157i
\(335\) 2.76915 + 4.79631i 0.151295 + 0.262051i
\(336\) −1.53543 + 4.31769i −0.0837646 + 0.235549i
\(337\) 14.4075 24.9546i 0.784829 1.35936i −0.144273 0.989538i \(-0.546084\pi\)
0.929101 0.369825i \(-0.120582\pi\)
\(338\) 8.05394i 0.438077i
\(339\) −4.09015 + 4.30935i −0.222146 + 0.234052i
\(340\) 6.62958 0.359539
\(341\) −11.2564 19.4967i −0.609568 1.05580i
\(342\) 20.7093 + 10.5565i 1.11983 + 0.570832i
\(343\) −17.5924 5.78855i −0.949901 0.312552i
\(344\) 8.43784 4.87159i 0.454938 0.262659i
\(345\) −8.45839 2.03147i −0.455384 0.109371i
\(346\) 2.19027 1.26455i 0.117750 0.0679829i
\(347\) 0.234637 0.135468i 0.0125960 0.00727228i −0.493689 0.869639i \(-0.664352\pi\)
0.506285 + 0.862366i \(0.331018\pi\)
\(348\) 1.48728 1.56699i 0.0797265 0.0839993i
\(349\) −21.0924 + 12.1777i −1.12905 + 0.651857i −0.943696 0.330814i \(-0.892677\pi\)
−0.185354 + 0.982672i \(0.559343\pi\)
\(350\) 0.279818 2.63091i 0.0149569 0.140628i
\(351\) −10.8943 + 3.85462i −0.581494 + 0.205744i
\(352\) 2.25571 + 3.90701i 0.120230 + 0.208244i
\(353\) 15.7449 0.838016 0.419008 0.907982i \(-0.362378\pi\)
0.419008 + 0.907982i \(0.362378\pi\)
\(354\) 5.51937 + 1.32560i 0.293351 + 0.0704548i
\(355\) 9.57979i 0.508442i
\(356\) −8.89050 + 15.3988i −0.471196 + 0.816135i
\(357\) −10.1793 + 28.6245i −0.538743 + 1.51497i
\(358\) 5.53559 + 9.58793i 0.292565 + 0.506738i
\(359\) −12.5256 + 7.23168i −0.661078 + 0.381673i −0.792688 0.609628i \(-0.791319\pi\)
0.131610 + 0.991302i \(0.457985\pi\)
\(360\) 1.36244 2.67278i 0.0718071 0.140868i
\(361\) 20.5175 35.5374i 1.07987 1.87039i
\(362\) −8.82331 + 15.2824i −0.463743 + 0.803226i
\(363\) −3.78316 + 15.7519i −0.198565 + 0.826759i
\(364\) −5.37834 + 2.38660i −0.281901 + 0.125092i
\(365\) −1.11202 0.642023i −0.0582056 0.0336050i
\(366\) −18.9576 + 5.61367i −0.990928 + 0.293431i
\(367\) 32.5123i 1.69713i −0.529092 0.848565i \(-0.677467\pi\)
0.529092 0.848565i \(-0.322533\pi\)
\(368\) −4.34946 2.51116i −0.226731 0.130903i
\(369\) −21.7040 + 14.0893i −1.12986 + 0.733459i
\(370\) 0.950231i 0.0494002i
\(371\) 1.51381 14.2332i 0.0785932 0.738951i
\(372\) −5.95017 + 6.26906i −0.308502 + 0.325035i
\(373\) 9.14687 0.473607 0.236803 0.971558i \(-0.423900\pi\)
0.236803 + 0.971558i \(0.423900\pi\)
\(374\) 14.9544 + 25.9018i 0.773275 + 1.33935i
\(375\) −0.404488 + 1.68416i −0.0208877 + 0.0869696i
\(376\) −4.38576 2.53212i −0.226178 0.130584i
\(377\) 2.77401 0.142869
\(378\) 9.44829 + 9.98648i 0.485968 + 0.513649i
\(379\) −2.90816 −0.149382 −0.0746911 0.997207i \(-0.523797\pi\)
−0.0746911 + 0.997207i \(0.523797\pi\)
\(380\) −6.71016 3.87412i −0.344224 0.198738i
\(381\) −1.78799 + 7.44460i −0.0916013 + 0.381398i
\(382\) 4.62270 + 8.00675i 0.236518 + 0.409661i
\(383\) 3.17879 0.162428 0.0812142 0.996697i \(-0.474120\pi\)
0.0812142 + 0.996697i \(0.474120\pi\)
\(384\) 1.19238 1.25628i 0.0608482 0.0641093i
\(385\) 10.9102 4.84133i 0.556035 0.246737i
\(386\) 17.9771i 0.915010i
\(387\) −1.52460 29.1898i −0.0774996 1.48380i
\(388\) −7.24779 4.18451i −0.367951 0.212436i
\(389\) 12.6645i 0.642118i −0.947059 0.321059i \(-0.895961\pi\)
0.947059 0.321059i \(-0.104039\pi\)
\(390\) 3.69350 1.09371i 0.187028 0.0553822i
\(391\) −28.8351 16.6479i −1.45825 0.841922i
\(392\) 5.19038 + 4.69680i 0.262154 + 0.237224i
\(393\) −3.37520 + 14.0532i −0.170256 + 0.708892i
\(394\) 5.58896 9.68036i 0.281568 0.487690i
\(395\) −1.98062 + 3.43054i −0.0996559 + 0.172609i
\(396\) 13.5159 0.705940i 0.679197 0.0354748i
\(397\) −22.7136 + 13.1137i −1.13996 + 0.658158i −0.946421 0.322935i \(-0.895331\pi\)
−0.193541 + 0.981092i \(0.561997\pi\)
\(398\) −1.51384 2.62204i −0.0758817 0.131431i
\(399\) 27.0302 23.0240i 1.35320 1.15264i
\(400\) −0.500000 + 0.866025i −0.0250000 + 0.0433013i
\(401\) 21.1817i 1.05776i −0.848696 0.528881i \(-0.822612\pi\)
0.848696 0.528881i \(-0.177388\pi\)
\(402\) 9.32739 + 2.24018i 0.465208 + 0.111730i
\(403\) −11.0980 −0.552832
\(404\) 5.81680 + 10.0750i 0.289396 + 0.501249i
\(405\) −5.28749 7.28302i −0.262738 0.361896i
\(406\) −1.33854 3.01646i −0.0664304 0.149704i
\(407\) 3.71256 2.14345i 0.184025 0.106247i
\(408\) 7.90495 8.32860i 0.391353 0.412327i
\(409\) 34.4207 19.8728i 1.70199 0.982646i 0.758250 0.651964i \(-0.226055\pi\)
0.943742 0.330682i \(-0.107279\pi\)
\(410\) 7.46978 4.31268i 0.368906 0.212988i
\(411\) 19.3008 + 4.63552i 0.952040 + 0.228654i
\(412\) 11.5855 6.68888i 0.570776 0.329538i
\(413\) 5.10522 7.00844i 0.251211 0.344863i
\(414\) −12.6377 + 8.20383i −0.621108 + 0.403196i
\(415\) −5.71593 9.90029i −0.280584 0.485986i
\(416\) 2.22397 0.109039
\(417\) −4.07228 + 4.29053i −0.199420 + 0.210108i
\(418\) 34.9556i 1.70973i
\(419\) 3.05865 5.29774i 0.149425 0.258811i −0.781590 0.623792i \(-0.785591\pi\)
0.931015 + 0.364981i \(0.118924\pi\)
\(420\) −2.97151 3.48857i −0.144995 0.170225i
\(421\) −0.503271 0.871691i −0.0245279 0.0424836i 0.853501 0.521091i \(-0.174475\pi\)
−0.878029 + 0.478608i \(0.841142\pi\)
\(422\) −15.5831 + 8.99690i −0.758573 + 0.437962i
\(423\) −12.7432 + 8.27230i −0.619593 + 0.402213i
\(424\) −2.70499 + 4.68518i −0.131366 + 0.227533i
\(425\) −3.31479 + 5.74138i −0.160791 + 0.278498i
\(426\) 12.0349 + 11.4227i 0.583093 + 0.553432i
\(427\) −3.19411 + 30.0317i −0.154574 + 1.45334i
\(428\) −9.50931 5.49020i −0.459650 0.265379i
\(429\) 12.6046 + 11.9635i 0.608557 + 0.577601i
\(430\) 9.74318i 0.469858i
\(431\) −17.6560 10.1937i −0.850461 0.491014i 0.0103455 0.999946i \(-0.496707\pi\)
−0.860806 + 0.508933i \(0.830040\pi\)
\(432\) −1.73321 4.89857i −0.0833892 0.235682i
\(433\) 9.53648i 0.458294i 0.973392 + 0.229147i \(0.0735937\pi\)
−0.973392 + 0.229147i \(0.926406\pi\)
\(434\) 5.35509 + 12.0680i 0.257053 + 0.579281i
\(435\) 0.613411 + 2.07151i 0.0294108 + 0.0993215i
\(436\) −15.4684 −0.740803
\(437\) 19.4571 + 33.7006i 0.930757 + 1.61212i
\(438\) −2.13250 + 0.631471i −0.101895 + 0.0301728i
\(439\) −18.8382 10.8763i −0.899100 0.519096i −0.0221920 0.999754i \(-0.507065\pi\)
−0.876908 + 0.480658i \(0.840398\pi\)
\(440\) −4.51143 −0.215074
\(441\) 19.6251 7.47362i 0.934529 0.355887i
\(442\) 14.7440 0.701300
\(443\) 10.2965 + 5.94470i 0.489203 + 0.282441i 0.724244 0.689544i \(-0.242189\pi\)
−0.235041 + 0.971985i \(0.575522\pi\)
\(444\) −1.19376 1.13303i −0.0566532 0.0537714i
\(445\) −8.89050 15.3988i −0.421450 0.729973i
\(446\) 12.3278 0.583738
\(447\) −29.8857 7.17771i −1.41354 0.339494i
\(448\) −1.07313 2.41835i −0.0507005 0.114256i
\(449\) 17.0757i 0.805853i −0.915232 0.402926i \(-0.867993\pi\)
0.915232 0.402926i \(-0.132007\pi\)
\(450\) 1.63347 + 2.51630i 0.0770026 + 0.118620i
\(451\) 33.6994 + 19.4563i 1.58684 + 0.916163i
\(452\) 3.43025i 0.161345i
\(453\) 0.567050 2.36101i 0.0266423 0.110930i
\(454\) −10.5640 6.09913i −0.495793 0.286246i
\(455\) 0.622308 5.85108i 0.0291743 0.274303i
\(456\) −12.8680 + 3.81044i −0.602600 + 0.178440i
\(457\) 1.32533 2.29554i 0.0619964 0.107381i −0.833361 0.552729i \(-0.813587\pi\)
0.895358 + 0.445348i \(0.146920\pi\)
\(458\) 6.11591 10.5931i 0.285778 0.494982i
\(459\) −11.4905 32.4754i −0.536329 1.51582i
\(460\) 4.34946 2.51116i 0.202795 0.117084i
\(461\) −20.7077 35.8668i −0.964453 1.67048i −0.711077 0.703114i \(-0.751792\pi\)
−0.253376 0.967368i \(-0.581541\pi\)
\(462\) 6.92698 19.4789i 0.322272 0.906242i
\(463\) 1.81970 3.15182i 0.0845687 0.146477i −0.820639 0.571447i \(-0.806382\pi\)
0.905207 + 0.424970i \(0.139715\pi\)
\(464\) 1.24732i 0.0579055i
\(465\) −2.45408 8.28752i −0.113805 0.384325i
\(466\) 0.698218 0.0323443
\(467\) 16.1293 + 27.9368i 0.746375 + 1.29276i 0.949549 + 0.313617i \(0.101541\pi\)
−0.203174 + 0.979143i \(0.565126\pi\)
\(468\) 3.03004 5.94419i 0.140064 0.274770i
\(469\) 8.62750 11.8438i 0.398381 0.546897i
\(470\) 4.38576 2.53212i 0.202300 0.116798i
\(471\) 7.74590 + 26.1582i 0.356912 + 1.20531i
\(472\) −2.83816 + 1.63861i −0.130637 + 0.0754233i
\(473\) −38.0667 + 21.9778i −1.75031 + 1.01054i
\(474\) 1.94807 + 6.57871i 0.0894778 + 0.302170i
\(475\) 6.71016 3.87412i 0.307883 0.177757i
\(476\) −7.11437 16.0326i −0.326087 0.734854i
\(477\) 8.83706 + 13.6131i 0.404621 + 0.623303i
\(478\) 2.75332 + 4.76888i 0.125934 + 0.218124i
\(479\) 5.07687 0.231968 0.115984 0.993251i \(-0.462998\pi\)
0.115984 + 0.993251i \(0.462998\pi\)
\(480\) 0.491782 + 1.66077i 0.0224467 + 0.0758033i
\(481\) 2.11329i 0.0963576i
\(482\) 8.83660 15.3054i 0.402496 0.697144i
\(483\) 4.16412 + 22.6353i 0.189474 + 1.02994i
\(484\) −4.67648 8.09991i −0.212567 0.368178i
\(485\) 7.24779 4.18451i 0.329105 0.190009i
\(486\) −15.4542 2.04153i −0.701017 0.0926058i
\(487\) 8.78880 15.2226i 0.398259 0.689804i −0.595253 0.803539i \(-0.702948\pi\)
0.993511 + 0.113735i \(0.0362814\pi\)
\(488\) 5.70747 9.88563i 0.258365 0.447501i
\(489\) −2.62087 + 0.776085i −0.118520 + 0.0350958i
\(490\) −6.66274 + 2.14660i −0.300992 + 0.0969737i
\(491\) −27.2873 15.7543i −1.23146 0.710984i −0.264126 0.964488i \(-0.585083\pi\)
−0.967334 + 0.253504i \(0.918417\pi\)
\(492\) 3.48885 14.5265i 0.157290 0.654904i
\(493\) 8.26922i 0.372427i
\(494\) −14.9232 8.61593i −0.671428 0.387649i
\(495\) −6.14657 + 12.0580i −0.276268 + 0.541969i
\(496\) 4.99018i 0.224065i
\(497\) 23.1673 10.2803i 1.03919 0.461136i
\(498\) −19.2531 4.62405i −0.862751 0.207209i
\(499\) −34.1844 −1.53030 −0.765151 0.643851i \(-0.777336\pi\)
−0.765151 + 0.643851i \(0.777336\pi\)
\(500\) −0.500000 0.866025i −0.0223607 0.0387298i
\(501\) −11.5787 10.9897i −0.517299 0.490986i
\(502\) −24.1578 13.9475i −1.07822 0.622508i
\(503\) −1.51617 −0.0676028 −0.0338014 0.999429i \(-0.510761\pi\)
−0.0338014 + 0.999429i \(0.510761\pi\)
\(504\) −7.92578 0.426632i −0.353042 0.0190037i
\(505\) −11.6336 −0.517688
\(506\) 19.6223 + 11.3289i 0.872316 + 0.503632i
\(507\) −13.3757 + 3.96079i −0.594037 + 0.175905i
\(508\) −2.21018 3.82815i −0.0980610 0.169847i
\(509\) 8.51321 0.377341 0.188671 0.982040i \(-0.439582\pi\)
0.188671 + 0.982040i \(0.439582\pi\)
\(510\) 3.26031 + 11.0102i 0.144369 + 0.487539i
\(511\) −0.359299 + 3.37821i −0.0158945 + 0.149443i
\(512\) 1.00000i 0.0441942i
\(513\) −7.34748 + 39.5849i −0.324399 + 1.74771i
\(514\) −12.2549 7.07539i −0.540542 0.312082i
\(515\) 13.3778i 0.589495i
\(516\) 12.2402 + 11.6175i 0.538843 + 0.511434i
\(517\) 19.7860 + 11.4235i 0.870189 + 0.502404i
\(518\) −2.29799 + 1.01972i −0.100968 + 0.0448038i
\(519\) 3.17727 + 3.01565i 0.139467 + 0.132372i
\(520\) −1.11199 + 1.92602i −0.0487638 + 0.0844614i
\(521\) 2.86246 4.95792i 0.125407 0.217210i −0.796485 0.604658i \(-0.793310\pi\)
0.921892 + 0.387447i \(0.126643\pi\)
\(522\) 3.33382 + 1.69941i 0.145917 + 0.0743811i
\(523\) 25.1415 14.5154i 1.09936 0.634716i 0.163308 0.986575i \(-0.447784\pi\)
0.936053 + 0.351859i \(0.114450\pi\)
\(524\) −4.17218 7.22644i −0.182263 0.315688i
\(525\) 4.50695 0.829123i 0.196699 0.0361859i
\(526\) −15.3940 + 26.6631i −0.671208 + 1.16257i
\(527\) 33.0827i 1.44111i
\(528\) −5.37932 + 5.66761i −0.234105 + 0.246651i
\(529\) −2.22373 −0.0966840
\(530\) −2.70499 4.68518i −0.117497 0.203511i
\(531\) 0.512814 + 9.81829i 0.0222543 + 0.426078i
\(532\) −2.16810 + 20.3849i −0.0939989 + 0.883798i
\(533\) 16.6126 9.59128i 0.719571 0.415445i
\(534\) −29.9460 7.19221i −1.29589 0.311237i
\(535\) 9.50931 5.49020i 0.411123 0.237362i
\(536\) −4.79631 + 2.76915i −0.207169 + 0.119609i
\(537\) −13.2010 + 13.9085i −0.569666 + 0.600196i
\(538\) −0.471711 + 0.272342i −0.0203369 + 0.0117415i
\(539\) −23.4160 21.1893i −1.00860 0.912686i
\(540\) 5.10889 + 0.948278i 0.219852 + 0.0408074i
\(541\) 16.2086 + 28.0741i 0.696863 + 1.20700i 0.969549 + 0.244899i \(0.0787547\pi\)
−0.272686 + 0.962103i \(0.587912\pi\)
\(542\) −20.7119 −0.889653
\(543\) −29.7197 7.13784i −1.27539 0.306314i
\(544\) 6.62958i 0.284241i
\(545\) 7.73421 13.3960i 0.331297 0.573823i
\(546\) −6.60857 7.75848i −0.282821 0.332032i
\(547\) −14.7077 25.4744i −0.628855 1.08921i −0.987782 0.155843i \(-0.950191\pi\)
0.358927 0.933366i \(-0.383143\pi\)
\(548\) −9.92484 + 5.73011i −0.423968 + 0.244778i
\(549\) −18.6460 28.7234i −0.795791 1.22589i
\(550\) 2.25571 3.90701i 0.0961839 0.166595i
\(551\) 4.83227 8.36975i 0.205862 0.356563i
\(552\) 2.03147 8.45839i 0.0864651 0.360013i
\(553\) 10.4217 + 1.10843i 0.443175 + 0.0471352i
\(554\) 15.1476 + 8.74547i 0.643560 + 0.371559i
\(555\) 1.57811 0.467307i 0.0669872 0.0198361i
\(556\) 3.41526i 0.144839i
\(557\) 0.913577 + 0.527454i 0.0387095 + 0.0223489i 0.519230 0.854635i \(-0.326219\pi\)
−0.480520 + 0.876984i \(0.659552\pi\)
\(558\) −13.3376 6.79883i −0.564627 0.287818i
\(559\) 21.6686i 0.916483i
\(560\) 2.63091 + 0.279818i 0.111176 + 0.0118245i
\(561\) −35.6626 + 37.5739i −1.50568 + 1.58637i
\(562\) −18.2699 −0.770670
\(563\) −7.23900 12.5383i −0.305088 0.528427i 0.672193 0.740376i \(-0.265352\pi\)
−0.977281 + 0.211949i \(0.932019\pi\)
\(564\) 2.04843 8.52898i 0.0862543 0.359135i
\(565\) 2.97068 + 1.71512i 0.124978 + 0.0721558i
\(566\) −9.21175 −0.387199
\(567\) −11.9387 + 20.6026i −0.501379 + 0.865228i
\(568\) −9.57979 −0.401959
\(569\) −9.68190 5.58985i −0.405886 0.234339i 0.283134 0.959080i \(-0.408626\pi\)
−0.689021 + 0.724742i \(0.741959\pi\)
\(570\) 3.13407 13.0492i 0.131272 0.546573i
\(571\) 21.8476 + 37.8411i 0.914292 + 1.58360i 0.807934 + 0.589273i \(0.200586\pi\)
0.106358 + 0.994328i \(0.466081\pi\)
\(572\) −10.0333 −0.419513
\(573\) −11.0240 + 11.6148i −0.460534 + 0.485215i
\(574\) −18.4456 13.4365i −0.769903 0.560827i
\(575\) 5.02232i 0.209445i
\(576\) 2.67278 + 1.36244i 0.111366 + 0.0567685i
\(577\) −16.6011 9.58466i −0.691114 0.399015i 0.112915 0.993605i \(-0.463981\pi\)
−0.804029 + 0.594590i \(0.797314\pi\)
\(578\) 26.9513i 1.12103i
\(579\) 29.8558 8.84081i 1.24076 0.367412i
\(580\) −1.08021 0.623662i −0.0448534 0.0258961i
\(581\) −17.8084 + 24.4474i −0.738817 + 1.01425i
\(582\) 3.38517 14.0948i 0.140320 0.584247i
\(583\) 12.2034 21.1369i 0.505412 0.875399i
\(584\) 0.642023 1.11202i 0.0265671 0.0460155i
\(585\) 3.63280 + 5.59618i 0.150198 + 0.231374i
\(586\) −10.8180 + 6.24576i −0.446886 + 0.258010i
\(587\) 0.776536 + 1.34500i 0.0320511 + 0.0555141i 0.881606 0.471986i \(-0.156463\pi\)
−0.849555 + 0.527500i \(0.823129\pi\)
\(588\) −5.24775 + 10.9298i −0.216414 + 0.450738i
\(589\) −19.3325 + 33.4849i −0.796582 + 1.37972i
\(590\) 3.27723i 0.134921i
\(591\) 18.8254 + 4.52134i 0.774373 + 0.185983i
\(592\) 0.950231 0.0390543
\(593\) −5.43117 9.40706i −0.223031 0.386302i 0.732696 0.680556i \(-0.238262\pi\)
−0.955727 + 0.294255i \(0.904929\pi\)
\(594\) 7.81926 + 22.0995i 0.320828 + 0.906755i
\(595\) 17.4418 + 1.85508i 0.715046 + 0.0760507i
\(596\) 15.3678 8.87258i 0.629488 0.363435i
\(597\) 3.61012 3.80360i 0.147753 0.155671i
\(598\) 9.67308 5.58476i 0.395562 0.228378i
\(599\) −7.28369 + 4.20524i −0.297603 + 0.171821i −0.641366 0.767235i \(-0.721632\pi\)
0.343762 + 0.939057i \(0.388299\pi\)
\(600\) −1.68416 0.404488i −0.0687555 0.0165132i
\(601\) −11.4553 + 6.61375i −0.467273 + 0.269780i −0.715098 0.699025i \(-0.753618\pi\)
0.247824 + 0.968805i \(0.420284\pi\)
\(602\) 23.5624 10.4557i 0.960331 0.426141i
\(603\) 0.866624 + 16.5923i 0.0352917 + 0.675691i
\(604\) 0.700947 + 1.21408i 0.0285211 + 0.0494001i
\(605\) 9.35297 0.380252
\(606\) −13.8716 + 14.6150i −0.563496 + 0.593696i
\(607\) 12.6296i 0.512620i −0.966595 0.256310i \(-0.917493\pi\)
0.966595 0.256310i \(-0.0825067\pi\)
\(608\) 3.87412 6.71016i 0.157116 0.272133i
\(609\) 4.35137 3.70644i 0.176326 0.150192i
\(610\) 5.70747 + 9.88563i 0.231089 + 0.400257i
\(611\) 9.75381 5.63137i 0.394597 0.227821i
\(612\) 17.7194 + 9.03243i 0.716264 + 0.365114i
\(613\) −8.47611 + 14.6811i −0.342347 + 0.592962i −0.984868 0.173306i \(-0.944555\pi\)
0.642521 + 0.766268i \(0.277889\pi\)
\(614\) −3.16222 + 5.47713i −0.127617 + 0.221039i
\(615\) 10.8359 + 10.2847i 0.436944 + 0.414718i
\(616\) 4.84133 + 10.9102i 0.195063 + 0.439584i
\(617\) 26.1121 + 15.0759i 1.05124 + 0.606931i 0.922995 0.384812i \(-0.125734\pi\)
0.128240 + 0.991743i \(0.459067\pi\)
\(618\) 16.8062 + 15.9513i 0.676045 + 0.641657i
\(619\) 30.5258i 1.22694i −0.789720 0.613468i \(-0.789774\pi\)
0.789720 0.613468i \(-0.210226\pi\)
\(620\) 4.32162 + 2.49509i 0.173560 + 0.100205i
\(621\) −19.8396 16.9537i −0.796137 0.680331i
\(622\) 22.5567i 0.904442i
\(623\) −27.6990 + 38.0252i −1.10974 + 1.52345i
\(624\) 1.09371 + 3.69350i 0.0437835 + 0.147858i
\(625\) 1.00000 0.0400000
\(626\) −5.25803 9.10717i −0.210153 0.363996i
\(627\) 58.0531 17.1905i 2.31842 0.686524i
\(628\) −13.6405 7.87534i −0.544314 0.314260i
\(629\) 6.29963 0.251183
\(630\) 4.33236 6.65061i 0.172606 0.264967i
\(631\) −23.7873 −0.946959 −0.473480 0.880805i \(-0.657002\pi\)
−0.473480 + 0.880805i \(0.657002\pi\)
\(632\) −3.43054 1.98062i −0.136459 0.0787849i
\(633\) −22.6052 21.4554i −0.898478 0.852775i
\(634\) −5.32463 9.22254i −0.211468 0.366274i
\(635\) 4.42037 0.175417
\(636\) −9.11127 2.18827i −0.361285 0.0867707i
\(637\) −14.8178 + 4.77399i −0.587101 + 0.189152i
\(638\) 5.62721i 0.222783i
\(639\) −13.0519 + 25.6047i −0.516326 + 1.01290i
\(640\) −0.866025 0.500000i −0.0342327 0.0197642i
\(641\) 5.84348i 0.230804i −0.993319 0.115402i \(-0.963184\pi\)
0.993319 0.115402i \(-0.0368156\pi\)
\(642\) 4.44144 18.4927i 0.175290 0.729850i
\(643\) −0.948093 0.547382i −0.0373891 0.0215866i 0.481189 0.876617i \(-0.340205\pi\)
−0.518578 + 0.855030i \(0.673538\pi\)
\(644\) −10.7404 7.82371i −0.423230 0.308297i
\(645\) −16.1812 + 4.79152i −0.637133 + 0.188666i
\(646\) 25.6837 44.4855i 1.01051 1.75026i
\(647\) 1.97694 3.42416i 0.0777216 0.134618i −0.824545 0.565796i \(-0.808569\pi\)
0.902267 + 0.431179i \(0.141902\pi\)
\(648\) 7.28302 5.28749i 0.286104 0.207712i
\(649\) 12.8042 7.39248i 0.502607 0.290180i
\(650\) −1.11199 1.92602i −0.0436157 0.0755446i
\(651\) −17.4086 + 14.8284i −0.682295 + 0.581170i
\(652\) 0.789054 1.36668i 0.0309017 0.0535234i
\(653\) 1.45438i 0.0569143i 0.999595 + 0.0284572i \(0.00905942\pi\)
−0.999595 + 0.0284572i \(0.990941\pi\)
\(654\) −7.60709 25.6895i −0.297461 1.00454i
\(655\) 8.34437 0.326041
\(656\) 4.31268 + 7.46978i 0.168382 + 0.291646i
\(657\) −2.09745 3.23104i −0.0818294 0.126055i
\(658\) −10.8300 7.88900i −0.422198 0.307545i
\(659\) 4.32410 2.49652i 0.168443 0.0972507i −0.413408 0.910546i \(-0.635662\pi\)
0.581852 + 0.813295i \(0.302328\pi\)
\(660\) −2.21864 7.49243i −0.0863604 0.291643i
\(661\) 33.4204 19.2953i 1.29990 0.750500i 0.319517 0.947581i \(-0.396479\pi\)
0.980387 + 0.197081i \(0.0631461\pi\)
\(662\) −13.8462 + 7.99412i −0.538149 + 0.310700i
\(663\) 7.25084 + 24.4864i 0.281599 + 0.950971i
\(664\) 9.90029 5.71593i 0.384206 0.221821i
\(665\) −16.5698 12.0701i −0.642550 0.468058i
\(666\) 1.29464 2.53976i 0.0501661 0.0984136i
\(667\) 3.13223 + 5.42518i 0.121280 + 0.210064i
\(668\) 9.21668 0.356604
\(669\) 6.06259 + 20.4736i 0.234393 + 0.791556i
\(670\) 5.53831i 0.213963i
\(671\) −25.7488 + 44.5983i −0.994023 + 1.72170i
\(672\) 3.48857 2.97151i 0.134574 0.114629i
\(673\) 5.87005 + 10.1672i 0.226274 + 0.391918i 0.956701 0.291073i \(-0.0940122\pi\)
−0.730427 + 0.682991i \(0.760679\pi\)
\(674\) −24.9546 + 14.4075i −0.961215 + 0.554958i
\(675\) −3.37568 + 3.95029i −0.129930 + 0.152047i
\(676\) 4.02697 6.97492i 0.154884 0.268266i
\(677\) −14.5939 + 25.2774i −0.560889 + 0.971489i 0.436530 + 0.899690i \(0.356207\pi\)
−0.997419 + 0.0717989i \(0.977126\pi\)
\(678\) 5.69685 1.68694i 0.218786 0.0647864i
\(679\) −17.8974 13.0372i −0.686839 0.500320i
\(680\) −5.74138 3.31479i −0.220172 0.127116i
\(681\) 4.93405 20.5438i 0.189073 0.787240i
\(682\) 22.5128i 0.862060i
\(683\) −5.36086 3.09509i −0.205128 0.118431i 0.393917 0.919146i \(-0.371120\pi\)
−0.599045 + 0.800715i \(0.704453\pi\)
\(684\) −12.6565 19.4969i −0.483934 0.745482i
\(685\) 11.4602i 0.437873i
\(686\) 12.3412 + 13.8092i 0.471189 + 0.527239i
\(687\) 20.6003 + 4.94763i 0.785952 + 0.188764i
\(688\) −9.74318 −0.371455
\(689\) −6.01583 10.4197i −0.229185 0.396960i
\(690\) 6.30944 + 5.98850i 0.240196 + 0.227978i
\(691\) −25.0338 14.4533i −0.952332 0.549829i −0.0585274 0.998286i \(-0.518641\pi\)
−0.893805 + 0.448457i \(0.851974\pi\)
\(692\) −2.52911 −0.0961423
\(693\) 35.7566 + 1.92472i 1.35828 + 0.0731140i
\(694\) −0.270935 −0.0102846
\(695\) 2.95770 + 1.70763i 0.112192 + 0.0647741i
\(696\) −2.07151 + 0.613411i −0.0785206 + 0.0232513i
\(697\) 28.5912 + 49.5215i 1.08297 + 1.87576i
\(698\) 24.3554 0.921866
\(699\) 0.343371 + 1.15958i 0.0129875 + 0.0438593i
\(700\) −1.55779 + 2.13853i −0.0588788 + 0.0808288i
\(701\) 15.3891i 0.581238i 0.956839 + 0.290619i \(0.0938612\pi\)
−0.956839 + 0.290619i \(0.906139\pi\)
\(702\) 11.3620 + 2.10895i 0.428832 + 0.0795970i
\(703\) −6.37621 3.68130i −0.240483 0.138843i
\(704\) 4.51143i 0.170031i
\(705\) 6.36210 + 6.03848i 0.239611 + 0.227422i
\(706\) −13.6355 7.87245i −0.513178 0.296283i
\(707\) 12.4843 + 28.1341i 0.469521 + 1.05809i
\(708\) −4.11711 3.90769i −0.154731 0.146860i
\(709\) −23.2331 + 40.2409i −0.872538 + 1.51128i −0.0131753 + 0.999913i \(0.504194\pi\)
−0.859363 + 0.511367i \(0.829139\pi\)
\(710\) 4.78989 8.29634i 0.179762 0.311356i
\(711\) −9.96768 + 6.47058i −0.373817 + 0.242666i
\(712\) 15.3988 8.89050i 0.577095 0.333186i
\(713\) −12.5311 21.7046i −0.469295 0.812842i
\(714\) 23.1277 19.6999i 0.865533 0.737249i
\(715\) 5.01664 8.68908i 0.187612 0.324953i
\(716\) 11.0712i 0.413750i
\(717\) −6.56598 + 6.91787i −0.245211 + 0.258353i
\(718\) 14.4634 0.539768
\(719\) 2.95350 + 5.11561i 0.110147 + 0.190780i 0.915829 0.401568i \(-0.131535\pi\)
−0.805682 + 0.592348i \(0.798201\pi\)
\(720\) −2.51630 + 1.63347i −0.0937770 + 0.0608759i
\(721\) 32.3521 14.3560i 1.20485 0.534647i
\(722\) −35.5374 + 20.5175i −1.32257 + 0.763584i
\(723\) 29.7645 + 7.14860i 1.10695 + 0.265859i
\(724\) 15.2824 8.82331i 0.567966 0.327916i
\(725\) 1.08021 0.623662i 0.0401181 0.0231622i
\(726\) 11.1523 11.7499i 0.413899 0.436081i
\(727\) −4.73351 + 2.73289i −0.175556 + 0.101357i −0.585203 0.810887i \(-0.698985\pi\)
0.409647 + 0.912244i \(0.365652\pi\)
\(728\) 5.85108 + 0.622308i 0.216855 + 0.0230643i
\(729\) −4.20959 26.6698i −0.155911 0.987771i
\(730\) 0.642023 + 1.11202i 0.0237623 + 0.0411575i
\(731\) −64.5932 −2.38906
\(732\) 19.2246 + 4.61721i 0.710561 + 0.170657i
\(733\) 24.0912i 0.889830i −0.895573 0.444915i \(-0.853234\pi\)
0.895573 0.444915i \(-0.146766\pi\)
\(734\) −16.2562 + 28.1565i −0.600026 + 1.03928i
\(735\) −6.84163 10.0096i −0.252357 0.369210i
\(736\) 2.51116 + 4.34946i 0.0925626 + 0.160323i
\(737\) 21.6382 12.4928i 0.797054 0.460179i
\(738\) 25.8409 1.34968i 0.951215 0.0496824i
\(739\) −17.2995 + 29.9636i −0.636373 + 1.10223i 0.349850 + 0.936806i \(0.386233\pi\)
−0.986223 + 0.165424i \(0.947101\pi\)
\(740\) −0.475116 + 0.822924i −0.0174656 + 0.0302513i
\(741\) 6.97008 29.0212i 0.256052 1.06612i
\(742\) −8.42760 + 11.5694i −0.309387 + 0.424726i
\(743\) −7.07661 4.08568i −0.259616 0.149889i 0.364544 0.931186i \(-0.381225\pi\)
−0.624159 + 0.781297i \(0.714558\pi\)
\(744\) 8.28752 2.45408i 0.303835 0.0899709i
\(745\) 17.7452i 0.650133i
\(746\) −7.92142 4.57343i −0.290024 0.167445i
\(747\) −1.78884 34.2489i −0.0654502 1.25310i
\(748\) 29.9088i 1.09358i
\(749\) −23.4819 17.1051i −0.858010 0.625008i
\(750\) 1.19238 1.25628i 0.0435394 0.0458729i
\(751\) 41.8027 1.52540 0.762702 0.646750i \(-0.223872\pi\)
0.762702 + 0.646750i \(0.223872\pi\)
\(752\) 2.53212 + 4.38576i 0.0923369 + 0.159932i
\(753\) 11.2832 46.9796i 0.411183 1.71203i
\(754\) −2.40237 1.38701i −0.0874890 0.0505118i
\(755\) −1.40189 −0.0510202
\(756\) −3.18922 13.3727i −0.115991 0.486360i
\(757\) 1.75387 0.0637455 0.0318728 0.999492i \(-0.489853\pi\)
0.0318728 + 0.999492i \(0.489853\pi\)
\(758\) 2.51854 + 1.45408i 0.0914776 + 0.0528146i
\(759\) −9.16483 + 38.1594i −0.332662 + 1.38510i
\(760\) 3.87412 + 6.71016i 0.140529 + 0.243403i
\(761\) 40.0986 1.45357 0.726786 0.686864i \(-0.241013\pi\)
0.726786 + 0.686864i \(0.241013\pi\)
\(762\) 5.27074 5.55322i 0.190939 0.201172i
\(763\) −40.6961 4.32835i −1.47330 0.156697i
\(764\) 9.24540i 0.334487i
\(765\) −16.6820 + 10.8292i −0.603139 + 0.391532i
\(766\) −2.75291 1.58939i −0.0994667 0.0574271i