Properties

Label 966.2.s.a.181.2
Level $966$
Weight $2$
Character 966.181
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.2
Character \(\chi\) \(=\) 966.181
Dual form 966.2.s.a.475.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.32721 + 1.53168i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(-2.59428 + 0.519336i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.32721 + 1.53168i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(-2.59428 + 0.519336i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +(1.70498 + 1.09572i) q^{10} +(3.12743 + 0.449656i) q^{11} +(0.989821 + 0.142315i) q^{12} +(0.718675 - 1.11828i) q^{13} +(0.883254 + 2.49397i) q^{14} +(1.84356 - 0.841925i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-0.378462 - 0.111127i) q^{17} +(0.654861 - 0.755750i) q^{18} +(-1.61920 + 0.475439i) q^{19} +(0.841925 - 1.84356i) q^{20} +(2.57558 + 0.605299i) q^{21} -3.15959i q^{22} +(-0.441143 - 4.77550i) q^{23} -1.00000i q^{24} +(0.127009 + 0.883370i) q^{25} +(-1.20918 - 0.552212i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(2.34288 - 1.22919i) q^{28} +(-1.23665 - 0.363114i) q^{29} +(-1.09572 - 1.70498i) q^{30} +(4.26375 - 1.94719i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-2.65801 - 1.70820i) q^{33} +(-0.0561346 + 0.390425i) q^{34} +(2.64770 - 4.66289i) q^{35} +(-0.841254 - 0.540641i) q^{36} +(5.39648 - 4.67608i) q^{37} +(0.701036 + 1.53505i) q^{38} +(-1.11828 + 0.718675i) q^{39} +(-1.94461 - 0.570990i) q^{40} +(-8.14068 - 7.05394i) q^{41} +(0.232594 - 2.63551i) q^{42} +(-10.4406 - 4.76804i) q^{43} +(-3.12743 + 0.449656i) q^{44} -2.02671 q^{45} +(-4.66411 + 1.11628i) q^{46} -8.94459i q^{47} +(-0.989821 + 0.142315i) q^{48} +(6.46058 - 2.69461i) q^{49} +(0.856303 - 0.251433i) q^{50} +(0.298098 + 0.258303i) q^{51} +(-0.374508 + 1.27546i) q^{52} +(-3.63278 - 5.65271i) q^{53} +(-0.909632 + 0.415415i) q^{54} +(-4.83949 + 4.19344i) q^{55} +(-1.55011 - 2.14410i) q^{56} +(1.67038 + 0.240164i) q^{57} +(-0.183424 + 1.27574i) q^{58} +(2.47780 - 3.85553i) q^{59} +(-1.53168 + 1.32721i) q^{60} +(4.36150 + 9.55036i) q^{61} +(-2.53417 - 3.94324i) q^{62} +(-2.09138 - 1.62053i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(0.759018 + 2.58498i) q^{65} +(-1.31254 + 2.87406i) q^{66} +(13.0036 - 1.86963i) q^{67} +0.394440 q^{68} +(-1.58254 + 4.52720i) q^{69} +(-4.99223 - 1.95715i) q^{70} +(0.470265 + 3.27076i) q^{71} +(-0.415415 + 0.909632i) q^{72} +(1.62426 + 5.53174i) q^{73} +(-5.39648 - 4.67608i) q^{74} +(0.251433 - 0.856303i) q^{75} +(1.41966 - 0.912361i) q^{76} +(-8.34695 + 0.457651i) q^{77} +(0.870508 + 1.00462i) q^{78} +(6.66028 - 10.3636i) q^{79} +(-0.288431 + 2.00608i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-5.82360 + 9.06169i) q^{82} +(-4.12233 - 4.75742i) q^{83} +(-2.64178 + 0.144845i) q^{84} +(0.672510 - 0.432196i) q^{85} +(-3.23366 + 11.0128i) q^{86} +(0.974055 + 0.844023i) q^{87} +(0.890159 + 3.03160i) q^{88} +(-3.04528 + 6.66823i) q^{89} +(0.288431 + 2.00608i) q^{90} +(-1.28368 + 3.27437i) q^{91} +(1.76869 + 4.45777i) q^{92} -4.68734 q^{93} +(-8.85355 + 1.27295i) q^{94} +(1.42079 - 3.11111i) q^{95} +(0.281733 + 0.959493i) q^{96} +(7.96782 - 9.19535i) q^{97} +(-3.58661 - 6.01134i) q^{98} +(1.70820 + 2.65801i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} + O(q^{10}) \) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} - 22q^{14} - 16q^{16} + 16q^{18} - 36q^{23} + 96q^{25} + 22q^{28} - 20q^{29} - 16q^{32} - 50q^{35} + 16q^{36} + 22q^{37} + 4q^{39} - 110q^{43} + 8q^{46} - 36q^{50} + 22q^{51} - 88q^{53} + 22q^{57} + 24q^{58} - 16q^{64} - 72q^{70} + 48q^{71} + 16q^{72} - 22q^{74} + 24q^{77} + 4q^{78} + 88q^{79} - 16q^{81} + 22q^{84} + 76q^{85} + 44q^{86} - 44q^{88} + 8q^{92} - 14q^{95} + 22q^{98} - 22q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −0.909632 0.415415i −0.525176 0.239840i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −1.32721 + 1.53168i −0.593547 + 0.684990i −0.970461 0.241258i \(-0.922440\pi\)
0.376914 + 0.926248i \(0.376985\pi\)
\(6\) −0.281733 + 0.959493i −0.115017 + 0.391711i
\(7\) −2.59428 + 0.519336i −0.980546 + 0.196290i
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) 1.70498 + 1.09572i 0.539161 + 0.346497i
\(11\) 3.12743 + 0.449656i 0.942955 + 0.135576i 0.596610 0.802531i \(-0.296514\pi\)
0.346344 + 0.938107i \(0.387423\pi\)
\(12\) 0.989821 + 0.142315i 0.285737 + 0.0410828i
\(13\) 0.718675 1.11828i 0.199325 0.310155i −0.727174 0.686453i \(-0.759167\pi\)
0.926499 + 0.376298i \(0.122803\pi\)
\(14\) 0.883254 + 2.49397i 0.236060 + 0.666540i
\(15\) 1.84356 0.841925i 0.476005 0.217384i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −0.378462 0.111127i −0.0917906 0.0269521i 0.235515 0.971871i \(-0.424322\pi\)
−0.327305 + 0.944919i \(0.606141\pi\)
\(18\) 0.654861 0.755750i 0.154352 0.178132i
\(19\) −1.61920 + 0.475439i −0.371469 + 0.109073i −0.462138 0.886808i \(-0.652918\pi\)
0.0906690 + 0.995881i \(0.471099\pi\)
\(20\) 0.841925 1.84356i 0.188260 0.412232i
\(21\) 2.57558 + 0.605299i 0.562038 + 0.132087i
\(22\) 3.15959i 0.673626i
\(23\) −0.441143 4.77550i −0.0919847 0.995760i
\(24\) 1.00000i 0.204124i
\(25\) 0.127009 + 0.883370i 0.0254019 + 0.176674i
\(26\) −1.20918 0.552212i −0.237139 0.108298i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) 2.34288 1.22919i 0.442763 0.232296i
\(29\) −1.23665 0.363114i −0.229640 0.0674285i 0.164888 0.986312i \(-0.447274\pi\)
−0.394528 + 0.918884i \(0.629092\pi\)
\(30\) −1.09572 1.70498i −0.200050 0.311285i
\(31\) 4.26375 1.94719i 0.765793 0.349726i 0.00607736 0.999982i \(-0.498066\pi\)
0.759715 + 0.650256i \(0.225338\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) −2.65801 1.70820i −0.462701 0.297360i
\(34\) −0.0561346 + 0.390425i −0.00962701 + 0.0669573i
\(35\) 2.64770 4.66289i 0.447543 0.788172i
\(36\) −0.841254 0.540641i −0.140209 0.0901068i
\(37\) 5.39648 4.67608i 0.887176 0.768742i −0.0866018 0.996243i \(-0.527601\pi\)
0.973778 + 0.227501i \(0.0730553\pi\)
\(38\) 0.701036 + 1.53505i 0.113723 + 0.249019i
\(39\) −1.11828 + 0.718675i −0.179068 + 0.115080i
\(40\) −1.94461 0.570990i −0.307470 0.0902814i
\(41\) −8.14068 7.05394i −1.27136 1.10164i −0.989855 0.142080i \(-0.954621\pi\)
−0.281505 0.959560i \(-0.590833\pi\)
\(42\) 0.232594 2.63551i 0.0358901 0.406668i
\(43\) −10.4406 4.76804i −1.59217 0.727119i −0.595102 0.803650i \(-0.702888\pi\)
−0.997067 + 0.0765305i \(0.975616\pi\)
\(44\) −3.12743 + 0.449656i −0.471477 + 0.0677882i
\(45\) −2.02671 −0.302124
\(46\) −4.66411 + 1.11628i −0.687686 + 0.164586i
\(47\) 8.94459i 1.30470i −0.757917 0.652352i \(-0.773783\pi\)
0.757917 0.652352i \(-0.226217\pi\)
\(48\) −0.989821 + 0.142315i −0.142868 + 0.0205414i
\(49\) 6.46058 2.69461i 0.922940 0.384944i
\(50\) 0.856303 0.251433i 0.121100 0.0355580i
\(51\) 0.298098 + 0.258303i 0.0417420 + 0.0361697i
\(52\) −0.374508 + 1.27546i −0.0519349 + 0.176874i
\(53\) −3.63278 5.65271i −0.499000 0.776459i 0.496814 0.867857i \(-0.334503\pi\)
−0.995814 + 0.0913976i \(0.970867\pi\)
\(54\) −0.909632 + 0.415415i −0.123785 + 0.0565308i
\(55\) −4.83949 + 4.19344i −0.652557 + 0.565444i
\(56\) −1.55011 2.14410i −0.207142 0.286517i
\(57\) 1.67038 + 0.240164i 0.221247 + 0.0318105i
\(58\) −0.183424 + 1.27574i −0.0240847 + 0.167513i
\(59\) 2.47780 3.85553i 0.322582 0.501947i −0.641653 0.766995i \(-0.721751\pi\)
0.964235 + 0.265047i \(0.0853876\pi\)
\(60\) −1.53168 + 1.32721i −0.197740 + 0.171342i
\(61\) 4.36150 + 9.55036i 0.558433 + 1.22280i 0.952731 + 0.303816i \(0.0982607\pi\)
−0.394297 + 0.918983i \(0.629012\pi\)
\(62\) −2.53417 3.94324i −0.321840 0.500792i
\(63\) −2.09138 1.62053i −0.263489 0.204168i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 0.759018 + 2.58498i 0.0941446 + 0.320627i
\(66\) −1.31254 + 2.87406i −0.161563 + 0.353773i
\(67\) 13.0036 1.86963i 1.58864 0.228412i 0.709404 0.704802i \(-0.248964\pi\)
0.879234 + 0.476390i \(0.158055\pi\)
\(68\) 0.394440 0.0478328
\(69\) −1.58254 + 4.52720i −0.190515 + 0.545011i
\(70\) −4.99223 1.95715i −0.596686 0.233925i
\(71\) 0.470265 + 3.27076i 0.0558102 + 0.388168i 0.998512 + 0.0545319i \(0.0173666\pi\)
−0.942702 + 0.333636i \(0.891724\pi\)
\(72\) −0.415415 + 0.909632i −0.0489571 + 0.107201i
\(73\) 1.62426 + 5.53174i 0.190106 + 0.647441i 0.998287 + 0.0585069i \(0.0186340\pi\)
−0.808181 + 0.588934i \(0.799548\pi\)
\(74\) −5.39648 4.67608i −0.627328 0.543583i
\(75\) 0.251433 0.856303i 0.0290330 0.0988773i
\(76\) 1.41966 0.912361i 0.162846 0.104655i
\(77\) −8.34695 + 0.457651i −0.951223 + 0.0521542i
\(78\) 0.870508 + 1.00462i 0.0985657 + 0.113751i
\(79\) 6.66028 10.3636i 0.749340 1.16600i −0.231813 0.972760i \(-0.574466\pi\)
0.981153 0.193235i \(-0.0618979\pi\)
\(80\) −0.288431 + 2.00608i −0.0322475 + 0.224286i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −5.82360 + 9.06169i −0.643109 + 1.00070i
\(83\) −4.12233 4.75742i −0.452484 0.522194i 0.482973 0.875635i \(-0.339557\pi\)
−0.935457 + 0.353441i \(0.885012\pi\)
\(84\) −2.64178 + 0.144845i −0.288242 + 0.0158039i
\(85\) 0.672510 0.432196i 0.0729440 0.0468782i
\(86\) −3.23366 + 11.0128i −0.348695 + 1.18755i
\(87\) 0.974055 + 0.844023i 0.104430 + 0.0904888i
\(88\) 0.890159 + 3.03160i 0.0948912 + 0.323170i
\(89\) −3.04528 + 6.66823i −0.322799 + 0.706831i −0.999569 0.0293637i \(-0.990652\pi\)
0.676770 + 0.736195i \(0.263379\pi\)
\(90\) 0.288431 + 2.00608i 0.0304033 + 0.211459i
\(91\) −1.28368 + 3.27437i −0.134566 + 0.343247i
\(92\) 1.76869 + 4.45777i 0.184398 + 0.464755i
\(93\) −4.68734 −0.486054
\(94\) −8.85355 + 1.27295i −0.913174 + 0.131295i
\(95\) 1.42079 3.11111i 0.145770 0.319193i
\(96\) 0.281733 + 0.959493i 0.0287542 + 0.0979278i
\(97\) 7.96782 9.19535i 0.809010 0.933647i −0.189830 0.981817i \(-0.560794\pi\)
0.998839 + 0.0481703i \(0.0153390\pi\)
\(98\) −3.58661 6.01134i −0.362303 0.607237i
\(99\) 1.70820 + 2.65801i 0.171681 + 0.267141i
\(100\) −0.370739 0.811804i −0.0370739 0.0811804i
\(101\) 13.5057 11.7027i 1.34386 1.16446i 0.372186 0.928158i \(-0.378608\pi\)
0.971679 0.236307i \(-0.0759370\pi\)
\(102\) 0.213250 0.331824i 0.0211149 0.0328555i
\(103\) −0.751671 + 5.22798i −0.0740643 + 0.515129i 0.918691 + 0.394977i \(0.129247\pi\)
−0.992756 + 0.120152i \(0.961662\pi\)
\(104\) 1.31577 + 0.189180i 0.129022 + 0.0185506i
\(105\) −4.34547 + 3.14162i −0.424074 + 0.306590i
\(106\) −5.07817 + 4.40026i −0.493236 + 0.427391i
\(107\) 4.92190 2.24776i 0.475818 0.217299i −0.163046 0.986618i \(-0.552132\pi\)
0.638864 + 0.769320i \(0.279405\pi\)
\(108\) 0.540641 + 0.841254i 0.0520232 + 0.0809497i
\(109\) −4.42672 + 15.0760i −0.424003 + 1.44402i 0.419922 + 0.907560i \(0.362057\pi\)
−0.843925 + 0.536461i \(0.819761\pi\)
\(110\) 4.83949 + 4.19344i 0.461427 + 0.399829i
\(111\) −6.85133 + 2.01173i −0.650299 + 0.190945i
\(112\) −1.90167 + 1.83947i −0.179691 + 0.173813i
\(113\) −11.9625 + 1.71995i −1.12534 + 0.161799i −0.679754 0.733440i \(-0.737913\pi\)
−0.445585 + 0.895240i \(0.647004\pi\)
\(114\) 1.68755i 0.158054i
\(115\) 7.90005 + 5.66241i 0.736683 + 0.528022i
\(116\) 1.28886 0.119668
\(117\) 1.31577 0.189180i 0.121643 0.0174897i
\(118\) −4.16891 1.90388i −0.383780 0.175266i
\(119\) 1.03955 + 0.0917444i 0.0952953 + 0.00841020i
\(120\) 1.53168 + 1.32721i 0.139823 + 0.121157i
\(121\) −0.975808 0.286523i −0.0887098 0.0260476i
\(122\) 8.83245 5.67627i 0.799652 0.513905i
\(123\) 4.47471 + 9.79824i 0.403471 + 0.883478i
\(124\) −3.54245 + 3.06955i −0.318122 + 0.275654i
\(125\) −10.0465 6.45649i −0.898585 0.577486i
\(126\) −1.30640 + 2.30072i −0.116384 + 0.204964i
\(127\) 1.83189 12.7411i 0.162554 1.13059i −0.731243 0.682117i \(-0.761060\pi\)
0.893797 0.448471i \(-0.148031\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 7.51635 + 8.67433i 0.661777 + 0.763732i
\(130\) 2.45065 1.11917i 0.214936 0.0981580i
\(131\) −9.35824 14.5617i −0.817633 1.27226i −0.959312 0.282349i \(-0.908886\pi\)
0.141679 0.989913i \(-0.454750\pi\)
\(132\) 3.03160 + 0.890159i 0.263867 + 0.0774784i
\(133\) 3.95374 2.07433i 0.342833 0.179867i
\(134\) −3.70120 12.6051i −0.319735 1.08892i
\(135\) 1.84356 + 0.841925i 0.158668 + 0.0724614i
\(136\) −0.0561346 0.390425i −0.00481350 0.0334787i
\(137\) 3.54600i 0.302955i 0.988461 + 0.151478i \(0.0484031\pi\)
−0.988461 + 0.151478i \(0.951597\pi\)
\(138\) 4.70634 + 0.922140i 0.400630 + 0.0784978i
\(139\) 9.80085i 0.831297i −0.909525 0.415649i \(-0.863555\pi\)
0.909525 0.415649i \(-0.136445\pi\)
\(140\) −1.22676 + 5.21995i −0.103680 + 0.441166i
\(141\) −3.71572 + 8.13629i −0.312920 + 0.685199i
\(142\) 3.17055 0.930956i 0.266066 0.0781241i
\(143\) 2.75045 3.17419i 0.230004 0.265439i
\(144\) 0.959493 + 0.281733i 0.0799577 + 0.0234777i
\(145\) 2.19747 1.41223i 0.182490 0.117279i
\(146\) 5.24427 2.39498i 0.434019 0.198210i
\(147\) −6.99613 0.232723i −0.577031 0.0191947i
\(148\) −3.86048 + 6.00703i −0.317330 + 0.493775i
\(149\) −0.940885 0.135279i −0.0770803 0.0110825i 0.103667 0.994612i \(-0.466942\pi\)
−0.180747 + 0.983530i \(0.557852\pi\)
\(150\) −0.883370 0.127009i −0.0721268 0.0103703i
\(151\) −7.13841 4.58758i −0.580916 0.373332i 0.216936 0.976186i \(-0.430394\pi\)
−0.797852 + 0.602854i \(0.794030\pi\)
\(152\) −1.10511 1.27537i −0.0896365 0.103446i
\(153\) −0.163856 0.358795i −0.0132470 0.0290069i
\(154\) 1.64089 + 8.19686i 0.132226 + 0.660522i
\(155\) −2.67642 + 9.11506i −0.214975 + 0.732139i
\(156\) 0.870508 1.00462i 0.0696964 0.0804340i
\(157\) 10.9162 3.20529i 0.871209 0.255810i 0.184580 0.982818i \(-0.440908\pi\)
0.686630 + 0.727007i \(0.259089\pi\)
\(158\) −11.2060 5.11759i −0.891498 0.407134i
\(159\) 0.956269 + 6.65099i 0.0758370 + 0.527458i
\(160\) 2.02671 0.160225
\(161\) 3.62454 + 12.1599i 0.285654 + 0.958333i
\(162\) 1.00000 0.0785674
\(163\) 2.14267 + 14.9026i 0.167827 + 1.16726i 0.883364 + 0.468687i \(0.155273\pi\)
−0.715537 + 0.698574i \(0.753818\pi\)
\(164\) 9.79824 + 4.47471i 0.765114 + 0.349416i
\(165\) 6.14417 1.80409i 0.478323 0.140448i
\(166\) −4.12233 + 4.75742i −0.319955 + 0.369247i
\(167\) 4.93275 16.7994i 0.381707 1.29998i −0.514938 0.857227i \(-0.672185\pi\)
0.896646 0.442749i \(-0.145997\pi\)
\(168\) 0.519336 + 2.59428i 0.0400676 + 0.200153i
\(169\) 4.66634 + 10.2179i 0.358949 + 0.785989i
\(170\) −0.523505 0.604157i −0.0401510 0.0463367i
\(171\) −1.41966 0.912361i −0.108564 0.0697700i
\(172\) 11.3610 + 1.63346i 0.866264 + 0.124550i
\(173\) 10.5419 + 1.51570i 0.801487 + 0.115236i 0.530873 0.847451i \(-0.321864\pi\)
0.270614 + 0.962688i \(0.412773\pi\)
\(174\) 0.696810 1.08426i 0.0528250 0.0821973i
\(175\) −0.788263 2.22575i −0.0595871 0.168251i
\(176\) 2.87406 1.31254i 0.216641 0.0989364i
\(177\) −3.85553 + 2.47780i −0.289799 + 0.186243i
\(178\) 7.03374 + 2.06529i 0.527201 + 0.154800i
\(179\) −2.87966 + 3.32330i −0.215236 + 0.248395i −0.853092 0.521760i \(-0.825276\pi\)
0.637857 + 0.770155i \(0.279821\pi\)
\(180\) 1.94461 0.570990i 0.144943 0.0425591i
\(181\) 0.581138 1.27252i 0.0431957 0.0945853i −0.886804 0.462146i \(-0.847080\pi\)
0.930000 + 0.367561i \(0.119807\pi\)
\(182\) 3.42373 + 0.804625i 0.253783 + 0.0596428i
\(183\) 10.4991i 0.776119i
\(184\) 4.16069 2.38509i 0.306730 0.175831i
\(185\) 14.4718i 1.06399i
\(186\) 0.667078 + 4.63963i 0.0489125 + 0.340194i
\(187\) −1.13364 0.517718i −0.0829003 0.0378593i
\(188\) 2.51998 + 8.58227i 0.183789 + 0.625927i
\(189\) 1.22919 + 2.34288i 0.0894106 + 0.170419i
\(190\) −3.28164 0.963577i −0.238075 0.0699052i
\(191\) 6.89190 + 10.7240i 0.498680 + 0.775962i 0.995784 0.0917295i \(-0.0292395\pi\)
−0.497104 + 0.867691i \(0.665603\pi\)
\(192\) 0.909632 0.415415i 0.0656470 0.0299800i
\(193\) 5.56024 + 6.41686i 0.400235 + 0.461896i 0.919715 0.392587i \(-0.128420\pi\)
−0.519480 + 0.854483i \(0.673874\pi\)
\(194\) −10.2357 6.57808i −0.734880 0.472279i
\(195\) 0.383412 2.66669i 0.0274567 0.190965i
\(196\) −5.43972 + 4.40561i −0.388552 + 0.314686i
\(197\) −8.49587 5.45997i −0.605306 0.389006i 0.201788 0.979429i \(-0.435325\pi\)
−0.807094 + 0.590423i \(0.798961\pi\)
\(198\) 2.38786 2.06909i 0.169698 0.147044i
\(199\) 4.21994 + 9.24037i 0.299143 + 0.655033i 0.998196 0.0600375i \(-0.0191220\pi\)
−0.699053 + 0.715070i \(0.746395\pi\)
\(200\) −0.750780 + 0.482497i −0.0530881 + 0.0341177i
\(201\) −12.6051 3.70120i −0.889097 0.261063i
\(202\) −13.5057 11.7027i −0.950255 0.823401i
\(203\) 3.39680 + 0.299781i 0.238408 + 0.0210405i
\(204\) −0.358795 0.163856i −0.0251207 0.0114722i
\(205\) 21.6088 3.10688i 1.50922 0.216994i
\(206\) 5.28174 0.367997
\(207\) 3.32019 3.46068i 0.230769 0.240534i
\(208\) 1.32930i 0.0921706i
\(209\) −5.27771 + 0.758820i −0.365067 + 0.0524887i
\(210\) 3.72806 + 3.85414i 0.257261 + 0.265961i
\(211\) 8.81784 2.58915i 0.607045 0.178245i 0.0362579 0.999342i \(-0.488456\pi\)
0.570787 + 0.821098i \(0.306638\pi\)
\(212\) 5.07817 + 4.40026i 0.348770 + 0.302211i
\(213\) 0.930956 3.17055i 0.0637881 0.217242i
\(214\) −2.92534 4.55191i −0.199972 0.311162i
\(215\) 21.1600 9.66343i 1.44310 0.659040i
\(216\) 0.755750 0.654861i 0.0514222 0.0445576i
\(217\) −10.0501 + 7.26588i −0.682247 + 0.493240i
\(218\) 15.5526 + 2.23612i 1.05335 + 0.151449i
\(219\) 0.820484 5.70659i 0.0554431 0.385616i
\(220\) 3.46203 5.38702i 0.233410 0.363193i
\(221\) −0.396262 + 0.343363i −0.0266555 + 0.0230971i
\(222\) 2.96630 + 6.49529i 0.199085 + 0.435935i
\(223\) −1.54733 2.40769i −0.103617 0.161231i 0.785574 0.618768i \(-0.212368\pi\)
−0.889190 + 0.457537i \(0.848732\pi\)
\(224\) 2.09138 + 1.62053i 0.139736 + 0.108276i
\(225\) −0.584433 + 0.674471i −0.0389622 + 0.0449648i
\(226\) 3.40489 + 11.5960i 0.226490 + 0.771353i
\(227\) 3.04279 6.66279i 0.201957 0.442225i −0.781370 0.624068i \(-0.785479\pi\)
0.983328 + 0.181843i \(0.0582062\pi\)
\(228\) −1.67038 + 0.240164i −0.110623 + 0.0159053i
\(229\) 0.0980447 0.00647898 0.00323949 0.999995i \(-0.498969\pi\)
0.00323949 + 0.999995i \(0.498969\pi\)
\(230\) 4.48048 8.62548i 0.295434 0.568747i
\(231\) 7.78277 + 3.05115i 0.512068 + 0.200751i
\(232\) −0.183424 1.27574i −0.0120424 0.0837564i
\(233\) −9.23313 + 20.2177i −0.604883 + 1.32451i 0.321137 + 0.947033i \(0.395935\pi\)
−0.926020 + 0.377476i \(0.876792\pi\)
\(234\) −0.374508 1.27546i −0.0244823 0.0833792i
\(235\) 13.7003 + 11.8714i 0.893708 + 0.774403i
\(236\) −1.29120 + 4.39743i −0.0840501 + 0.286248i
\(237\) −10.3636 + 6.66028i −0.673188 + 0.432631i
\(238\) −0.0571327 1.04202i −0.00370336 0.0675444i
\(239\) 7.53937 + 8.70090i 0.487681 + 0.562814i 0.945245 0.326363i \(-0.105823\pi\)
−0.457563 + 0.889177i \(0.651278\pi\)
\(240\) 1.09572 1.70498i 0.0707285 0.110056i
\(241\) −1.10351 + 7.67509i −0.0710834 + 0.494396i 0.922915 + 0.385003i \(0.125800\pi\)
−0.993999 + 0.109393i \(0.965109\pi\)
\(242\) −0.144735 + 1.00665i −0.00930390 + 0.0647101i
\(243\) 0.540641 0.841254i 0.0346821 0.0539664i
\(244\) −6.87548 7.93473i −0.440158 0.507969i
\(245\) −4.44727 + 13.4719i −0.284126 + 0.860687i
\(246\) 9.06169 5.82360i 0.577753 0.371299i
\(247\) −0.632003 + 2.15240i −0.0402134 + 0.136954i
\(248\) 3.54245 + 3.06955i 0.224946 + 0.194917i
\(249\) 1.77350 + 6.03998i 0.112391 + 0.382768i
\(250\) −4.96100 + 10.8631i −0.313761 + 0.687042i
\(251\) −0.514062 3.57538i −0.0324473 0.225676i 0.967145 0.254225i \(-0.0818204\pi\)
−0.999592 + 0.0285492i \(0.990911\pi\)
\(252\) 2.46322 + 0.965681i 0.155168 + 0.0608322i
\(253\) 0.767690 15.1334i 0.0482642 0.951428i
\(254\) −12.8721 −0.807667
\(255\) −0.791277 + 0.113769i −0.0495517 + 0.00712446i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −3.51355 11.9660i −0.219169 0.746421i −0.993519 0.113664i \(-0.963741\pi\)
0.774350 0.632757i \(-0.218077\pi\)
\(258\) 7.51635 8.67433i 0.467947 0.540040i
\(259\) −11.5715 + 14.9336i −0.719020 + 0.927931i
\(260\) −1.45655 2.26643i −0.0903311 0.140558i
\(261\) −0.535411 1.17239i −0.0331411 0.0725690i
\(262\) −13.0817 + 11.3353i −0.808188 + 0.700299i
\(263\) 14.7276 22.9166i 0.908144 1.41310i −0.00253990 0.999997i \(-0.500808\pi\)
0.910684 0.413103i \(-0.135555\pi\)
\(264\) 0.449656 3.12743i 0.0276744 0.192480i
\(265\) 13.4796 + 1.93808i 0.828047 + 0.119055i
\(266\) −2.61589 3.61829i −0.160391 0.221851i
\(267\) 5.54016 4.80058i 0.339053 0.293791i
\(268\) −11.9501 + 5.45742i −0.729968 + 0.333365i
\(269\) −9.17804 14.2813i −0.559595 0.870747i 0.440034 0.897981i \(-0.354966\pi\)
−0.999629 + 0.0272341i \(0.991330\pi\)
\(270\) 0.570990 1.94461i 0.0347493 0.118345i
\(271\) −18.7777 16.2709i −1.14066 0.988388i −0.140662 0.990058i \(-0.544923\pi\)
−0.999999 + 0.00166916i \(0.999469\pi\)
\(272\) −0.378462 + 0.111127i −0.0229476 + 0.00673803i
\(273\) 2.52790 2.44521i 0.152995 0.147991i
\(274\) 3.50991 0.504648i 0.212041 0.0304869i
\(275\) 2.81979i 0.170039i
\(276\) 0.242971 4.78967i 0.0146252 0.288304i
\(277\) −16.7109 −1.00406 −0.502031 0.864850i \(-0.667414\pi\)
−0.502031 + 0.864850i \(0.667414\pi\)
\(278\) −9.70109 + 1.39481i −0.581833 + 0.0836549i
\(279\) 4.26375 + 1.94719i 0.255264 + 0.116575i
\(280\) 5.34140 + 0.471401i 0.319210 + 0.0281716i
\(281\) 12.8503 + 11.1349i 0.766586 + 0.664250i 0.947682 0.319215i \(-0.103419\pi\)
−0.181097 + 0.983465i \(0.557965\pi\)
\(282\) 8.58227 + 2.51998i 0.511067 + 0.150063i
\(283\) 4.69481 3.01717i 0.279077 0.179352i −0.393613 0.919276i \(-0.628775\pi\)
0.672690 + 0.739924i \(0.265139\pi\)
\(284\) −1.37270 3.00579i −0.0814545 0.178361i
\(285\) −2.58480 + 2.23974i −0.153110 + 0.132671i
\(286\) −3.53331 2.27072i −0.208929 0.134270i
\(287\) 24.7826 + 14.0721i 1.46287 + 0.830652i
\(288\) 0.142315 0.989821i 0.00838598 0.0583258i
\(289\) −14.1704 9.10678i −0.833554 0.535693i
\(290\) −1.71059 1.97412i −0.100449 0.115925i
\(291\) −11.0677 + 5.05444i −0.648798 + 0.296296i
\(292\) −3.11694 4.85005i −0.182405 0.283828i
\(293\) −2.89873 0.851144i −0.169346 0.0497244i 0.195961 0.980612i \(-0.437218\pi\)
−0.365306 + 0.930887i \(0.619036\pi\)
\(294\) 0.765299 + 6.95804i 0.0446331 + 0.405801i
\(295\) 2.61689 + 8.91231i 0.152361 + 0.518895i
\(296\) 6.49529 + 2.96630i 0.377531 + 0.172413i
\(297\) −0.449656 3.12743i −0.0260917 0.181472i
\(298\) 0.950561i 0.0550645i
\(299\) −5.65739 2.93871i −0.327175 0.169950i
\(300\) 0.892454i 0.0515258i
\(301\) 29.5619 + 6.94748i 1.70392 + 0.400446i
\(302\) −3.52498 + 7.71863i −0.202840 + 0.444157i
\(303\) −17.1467 + 5.03472i −0.985051 + 0.289237i
\(304\) −1.10511 + 1.27537i −0.0633826 + 0.0731474i
\(305\) −20.4168 5.99491i −1.16906 0.343267i
\(306\) −0.331824 + 0.213250i −0.0189691 + 0.0121907i
\(307\) −29.0536 + 13.2683i −1.65818 + 0.757265i −0.658188 + 0.752854i \(0.728677\pi\)
−0.999990 + 0.00441114i \(0.998596\pi\)
\(308\) 7.87990 2.79072i 0.448999 0.159016i
\(309\) 2.85553 4.44329i 0.162445 0.252770i
\(310\) 9.40317 + 1.35197i 0.534064 + 0.0767869i
\(311\) 10.9391 + 1.57280i 0.620298 + 0.0891854i 0.445297 0.895383i \(-0.353098\pi\)
0.175001 + 0.984568i \(0.444007\pi\)
\(312\) −1.11828 0.718675i −0.0633102 0.0406870i
\(313\) −2.65387 3.06273i −0.150006 0.173116i 0.675773 0.737109i \(-0.263810\pi\)
−0.825779 + 0.563993i \(0.809264\pi\)
\(314\) −4.72621 10.3489i −0.266715 0.584025i
\(315\) 5.25785 1.05254i 0.296246 0.0593040i
\(316\) −3.47073 + 11.8202i −0.195244 + 0.664939i
\(317\) 13.6041 15.7000i 0.764082 0.881797i −0.231772 0.972770i \(-0.574452\pi\)
0.995853 + 0.0909730i \(0.0289977\pi\)
\(318\) 6.44720 1.89307i 0.361541 0.106158i
\(319\) −3.70426 1.69168i −0.207399 0.0947159i
\(320\) −0.288431 2.00608i −0.0161238 0.112143i
\(321\) −5.41087 −0.302005
\(322\) 11.5203 5.31818i 0.642000 0.296370i
\(323\) 0.665639 0.0370371
\(324\) −0.142315 0.989821i −0.00790638 0.0549901i
\(325\) 1.07913 + 0.492824i 0.0598596 + 0.0273370i
\(326\) 14.4460 4.24172i 0.800089 0.234927i
\(327\) 10.2895 11.8747i 0.569010 0.656673i
\(328\) 3.03473 10.3353i 0.167565 0.570673i
\(329\) 4.64525 + 23.2048i 0.256101 + 1.27932i
\(330\) −2.66014 5.82489i −0.146436 0.320649i
\(331\) −0.704765 0.813342i −0.0387374 0.0447053i 0.736050 0.676927i \(-0.236689\pi\)
−0.774788 + 0.632222i \(0.782143\pi\)
\(332\) 5.29566 + 3.40332i 0.290637 + 0.186781i
\(333\) 7.06789 + 1.01621i 0.387318 + 0.0556879i
\(334\) −17.3304 2.49174i −0.948277 0.136342i
\(335\) −14.3948 + 22.3987i −0.786472 + 1.22377i
\(336\) 2.49397 0.883254i 0.136057 0.0481855i
\(337\) −25.4323 + 11.6145i −1.38538 + 0.632684i −0.961946 0.273241i \(-0.911904\pi\)
−0.423439 + 0.905925i \(0.639177\pi\)
\(338\) 9.44976 6.07299i 0.513999 0.330327i
\(339\) 11.5960 + 3.40489i 0.629807 + 0.184928i
\(340\) −0.523505 + 0.604157i −0.0283910 + 0.0327650i
\(341\) 14.2101 4.17248i 0.769523 0.225952i
\(342\) −0.701036 + 1.53505i −0.0379077 + 0.0830062i
\(343\) −15.3612 + 10.3458i −0.829424 + 0.558619i
\(344\) 11.4778i 0.618840i
\(345\) −4.83389 8.43250i −0.260248 0.453991i
\(346\) 10.6503i 0.572565i
\(347\) −2.46335 17.1330i −0.132240 0.919746i −0.942626 0.333851i \(-0.891652\pi\)
0.810386 0.585896i \(-0.199257\pi\)
\(348\) −1.17239 0.535411i −0.0628466 0.0287011i
\(349\) −3.73321 12.7141i −0.199834 0.680573i −0.997041 0.0768668i \(-0.975508\pi\)
0.797207 0.603706i \(-0.206310\pi\)
\(350\) −2.09091 + 1.09700i −0.111764 + 0.0586370i
\(351\) −1.27546 0.374508i −0.0680788 0.0199898i
\(352\) −1.70820 2.65801i −0.0910475 0.141673i
\(353\) −20.6957 + 9.45143i −1.10152 + 0.503049i −0.881375 0.472418i \(-0.843381\pi\)
−0.220148 + 0.975466i \(0.570654\pi\)
\(354\) 3.00128 + 3.46366i 0.159516 + 0.184091i
\(355\) −5.63392 3.62070i −0.299017 0.192167i
\(356\) 1.04327 7.25607i 0.0552930 0.384571i
\(357\) −0.907495 0.515298i −0.0480297 0.0272725i
\(358\) 3.69929 + 2.37739i 0.195514 + 0.125649i
\(359\) −23.9577 + 20.7595i −1.26444 + 1.09564i −0.273426 + 0.961893i \(0.588157\pi\)
−0.991015 + 0.133751i \(0.957298\pi\)
\(360\) −0.841925 1.84356i −0.0443733 0.0971641i
\(361\) −13.5881 + 8.73252i −0.715161 + 0.459606i
\(362\) −1.34227 0.394125i −0.0705480 0.0207148i
\(363\) 0.768600 + 0.665996i 0.0403411 + 0.0349557i
\(364\) 0.309188 3.50339i 0.0162059 0.183627i
\(365\) −10.6286 4.85393i −0.556327 0.254066i
\(366\) −10.3923 + 1.49418i −0.543213 + 0.0781023i
\(367\) 21.6902 1.13222 0.566110 0.824330i \(-0.308448\pi\)
0.566110 + 0.824330i \(0.308448\pi\)
\(368\) −2.95294 3.77891i −0.153933 0.196989i
\(369\) 10.7717i 0.560750i
\(370\) 14.3245 2.05956i 0.744698 0.107071i
\(371\) 12.3601 + 12.7781i 0.641704 + 0.663405i
\(372\) 4.49747 1.32058i 0.233183 0.0684687i
\(373\) −9.89014 8.56985i −0.512092 0.443730i 0.360086 0.932919i \(-0.382747\pi\)
−0.872178 + 0.489189i \(0.837293\pi\)
\(374\) −0.351114 + 1.19578i −0.0181557 + 0.0618325i
\(375\) 6.45649 + 10.0465i 0.333412 + 0.518798i
\(376\) 8.13629 3.71572i 0.419597 0.191624i
\(377\) −1.29481 + 1.12196i −0.0666863 + 0.0577840i
\(378\) 2.14410 1.55011i 0.110281 0.0797289i
\(379\) −0.0996937 0.0143338i −0.00512092 0.000736277i 0.139754 0.990186i \(-0.455369\pi\)
−0.144875 + 0.989450i \(0.546278\pi\)
\(380\) −0.486743 + 3.38537i −0.0249694 + 0.173666i
\(381\) −6.95918 + 10.8287i −0.356530 + 0.554771i
\(382\) 9.63403 8.34793i 0.492920 0.427117i
\(383\) −2.63533 5.77057i −0.134659 0.294862i 0.830275 0.557354i \(-0.188183\pi\)
−0.964934 + 0.262491i \(0.915456\pi\)
\(384\) −0.540641 0.841254i −0.0275895 0.0429300i
\(385\) 10.3772 13.3923i 0.528871 0.682534i
\(386\) 5.56024 6.41686i 0.283009 0.326610i
\(387\) −3.23366 11.0128i −0.164376 0.559814i
\(388\) −5.05444 + 11.0677i −0.256600 + 0.561876i
\(389\) −1.52574 + 0.219369i −0.0773582 + 0.0111224i −0.180885 0.983504i \(-0.557896\pi\)
0.103527 + 0.994627i \(0.466987\pi\)
\(390\) −2.69411 −0.136422
\(391\) −0.363729 + 1.85637i −0.0183945 + 0.0938806i
\(392\) 5.13492 + 4.75737i 0.259353 + 0.240284i
\(393\) 2.46340 + 17.1333i 0.124262 + 0.864263i
\(394\) −4.19530 + 9.18643i −0.211356 + 0.462806i
\(395\) 7.03415 + 23.9561i 0.353927 + 1.20536i
\(396\) −2.38786 2.06909i −0.119994 0.103976i
\(397\) −1.30492 + 4.44416i −0.0654922 + 0.223046i −0.985736 0.168300i \(-0.946172\pi\)
0.920244 + 0.391346i \(0.127990\pi\)
\(398\) 8.54576 5.49203i 0.428360 0.275290i
\(399\) −4.45815 + 0.244434i −0.223187 + 0.0122370i
\(400\) 0.584433 + 0.674471i 0.0292216 + 0.0337236i
\(401\) −2.97498 + 4.62916i −0.148564 + 0.231169i −0.907557 0.419929i \(-0.862055\pi\)
0.758994 + 0.651098i \(0.225691\pi\)
\(402\) −1.86963 + 13.0036i −0.0932487 + 0.648559i
\(403\) 0.886749 6.16747i 0.0441721 0.307224i
\(404\) −9.66155 + 15.0337i −0.480680 + 0.747953i
\(405\) −1.32721 1.53168i −0.0659497 0.0761100i
\(406\) −0.186685 3.40489i −0.00926502 0.168982i
\(407\) 18.9797 12.1975i 0.940791 0.604609i
\(408\) −0.111127 + 0.378462i −0.00550158 + 0.0187367i
\(409\) 17.6738 + 15.3144i 0.873912 + 0.757249i 0.971265 0.238001i \(-0.0764922\pi\)
−0.0973533 + 0.995250i \(0.531038\pi\)
\(410\) −6.15051 20.9467i −0.303752 1.03448i
\(411\) 1.47306 3.22555i 0.0726607 0.159105i
\(412\) −0.751671 5.22798i −0.0370322 0.257564i
\(413\) −4.42579 + 11.2891i −0.217779 + 0.555502i
\(414\) −3.89797 2.79389i −0.191575 0.137312i
\(415\) 12.7581 0.626268
\(416\) −1.31577 + 0.189180i −0.0645111 + 0.00927529i
\(417\) −4.07142 + 8.91517i −0.199378 + 0.436578i
\(418\) 1.50219 + 5.11600i 0.0734746 + 0.250232i
\(419\) −3.75591 + 4.33455i −0.183488 + 0.211757i −0.840040 0.542524i \(-0.817469\pi\)
0.656552 + 0.754281i \(0.272014\pi\)
\(420\) 3.28435 4.23862i 0.160260 0.206823i
\(421\) 3.59887 + 5.59995i 0.175398 + 0.272925i 0.917811 0.397018i \(-0.129955\pi\)
−0.742413 + 0.669943i \(0.766319\pi\)
\(422\) −3.81771 8.35961i −0.185843 0.406940i
\(423\) 6.75987 5.85746i 0.328676 0.284800i
\(424\) 3.63278 5.65271i 0.176423 0.274520i
\(425\) 0.0500975 0.348436i 0.00243009 0.0169016i
\(426\) −3.27076 0.470265i −0.158469 0.0227844i
\(427\) −16.2748 22.5112i −0.787593 1.08939i
\(428\) −4.08926 + 3.54337i −0.197662 + 0.171275i
\(429\) −3.82050 + 1.74476i −0.184455 + 0.0842380i
\(430\) −12.5764 19.5693i −0.606490 0.943717i
\(431\) 2.56015 8.71906i 0.123318 0.419982i −0.874573 0.484894i \(-0.838858\pi\)
0.997891 + 0.0649113i \(0.0206765\pi\)
\(432\) −0.755750 0.654861i −0.0363610 0.0315070i
\(433\) −12.5085 + 3.67282i −0.601118 + 0.176504i −0.568113 0.822951i \(-0.692326\pi\)
−0.0330058 + 0.999455i \(0.510508\pi\)
\(434\) 8.62221 + 8.91379i 0.413879 + 0.427876i
\(435\) −2.58555 + 0.371746i −0.123968 + 0.0178239i
\(436\) 15.7125i 0.752492i
\(437\) 2.98476 + 7.52274i 0.142780 + 0.359861i
\(438\) −5.76527 −0.275475
\(439\) 20.3243 2.92219i 0.970025 0.139469i 0.360953 0.932584i \(-0.382451\pi\)
0.609072 + 0.793115i \(0.291542\pi\)
\(440\) −5.82489 2.66014i −0.277691 0.126817i
\(441\) 6.26723 + 3.11799i 0.298439 + 0.148476i
\(442\) 0.396262 + 0.343363i 0.0188483 + 0.0163321i
\(443\) −10.6173 3.11751i −0.504442 0.148117i 0.0196037 0.999808i \(-0.493760\pi\)
−0.524045 + 0.851690i \(0.675578\pi\)
\(444\) 6.00703 3.86048i 0.285081 0.183210i
\(445\) −6.17189 13.5146i −0.292576 0.640651i
\(446\) −2.16298 + 1.87423i −0.102420 + 0.0887473i
\(447\) 0.799662 + 0.513912i 0.0378227 + 0.0243072i
\(448\) 1.30640 2.30072i 0.0617218 0.108699i
\(449\) 3.62645 25.2225i 0.171143 1.19032i −0.705333 0.708876i \(-0.749202\pi\)
0.876475 0.481447i \(-0.159888\pi\)
\(450\) 0.750780 + 0.482497i 0.0353921 + 0.0227451i
\(451\) −22.2875 25.7212i −1.04948 1.21116i
\(452\) 10.9934 5.02051i 0.517085 0.236145i
\(453\) 4.58758 + 7.13841i 0.215543 + 0.335392i
\(454\) −7.02800 2.06361i −0.329841 0.0968499i
\(455\) −3.31158 6.31197i −0.155249 0.295910i
\(456\) 0.475439 + 1.61920i 0.0222645 + 0.0758259i
\(457\) −17.6448 8.05809i −0.825387 0.376942i −0.0424932 0.999097i \(-0.513530\pi\)
−0.782894 + 0.622155i \(0.786257\pi\)
\(458\) −0.0139532 0.0970468i −0.000651991 0.00453470i
\(459\) 0.394440i 0.0184109i
\(460\) −9.17532 3.20734i −0.427802 0.149543i
\(461\) 18.7787i 0.874611i 0.899313 + 0.437306i \(0.144067\pi\)
−0.899313 + 0.437306i \(0.855933\pi\)
\(462\) 1.91249 8.13777i 0.0889773 0.378603i
\(463\) −1.81148 + 3.96660i −0.0841868 + 0.184343i −0.947044 0.321105i \(-0.895946\pi\)
0.862857 + 0.505449i \(0.168673\pi\)
\(464\) −1.23665 + 0.363114i −0.0574101 + 0.0168571i
\(465\) 6.22109 7.17952i 0.288496 0.332942i
\(466\) 21.3260 + 6.26187i 0.987906 + 0.290075i
\(467\) −12.4006 + 7.96938i −0.573832 + 0.368779i −0.795141 0.606424i \(-0.792603\pi\)
0.221310 + 0.975204i \(0.428967\pi\)
\(468\) −1.20918 + 0.552212i −0.0558942 + 0.0255260i
\(469\) −32.7639 + 11.6036i −1.51290 + 0.535803i
\(470\) 9.80078 15.2503i 0.452076 0.703444i
\(471\) −11.2613 1.61913i −0.518892 0.0746054i
\(472\) 4.53643 + 0.652240i 0.208806 + 0.0300218i
\(473\) −30.5081 19.6064i −1.40276 0.901502i
\(474\) 8.06738 + 9.31025i 0.370547 + 0.427634i
\(475\) −0.625642 1.36996i −0.0287064 0.0628583i
\(476\) −1.02329 + 0.204847i −0.0469023 + 0.00938913i
\(477\) 1.89307 6.44720i 0.0866777 0.295197i
\(478\) 7.53937 8.70090i 0.344843 0.397970i
\(479\) −37.1905 + 10.9201i −1.69928 + 0.498952i −0.980538 0.196330i \(-0.937098\pi\)
−0.718737 + 0.695282i \(0.755280\pi\)
\(480\) −1.84356 0.841925i −0.0841466 0.0384284i
\(481\) −1.35085 9.39536i −0.0615934 0.428392i
\(482\) 7.75401 0.353186
\(483\) 1.75440 12.5667i 0.0798281 0.571805i
\(484\) 1.01700 0.0462275
\(485\) 3.50939 + 24.4084i 0.159353 + 1.10833i
\(486\) −0.909632 0.415415i −0.0412617 0.0188436i
\(487\) 11.2215 3.29492i 0.508493 0.149307i −0.0174151 0.999848i \(-0.505544\pi\)
0.525908 + 0.850541i \(0.323726\pi\)
\(488\) −6.87548 + 7.93473i −0.311238 + 0.359188i
\(489\) 4.24172 14.4460i 0.191817 0.653270i
\(490\) 13.9677 + 2.48476i 0.630995 + 0.112250i
\(491\) −8.71981 19.0937i −0.393519 0.861687i −0.997886 0.0649813i \(-0.979301\pi\)
0.604367 0.796706i \(-0.293426\pi\)
\(492\) −7.05394 8.14068i −0.318016 0.367010i
\(493\) 0.427674 + 0.274849i 0.0192615 + 0.0123786i
\(494\) 2.22044 + 0.319251i 0.0999022 + 0.0143638i
\(495\) −6.33838 0.911322i −0.284889 0.0409609i
\(496\) 2.53417 3.94324i 0.113787 0.177057i
\(497\) −2.91862 8.24105i −0.130918 0.369662i
\(498\) 5.72610 2.61502i 0.256593 0.117182i
\(499\) 21.8262 14.0268i 0.977073 0.627927i 0.0484008 0.998828i \(-0.484588\pi\)
0.928672 + 0.370901i \(0.120951\pi\)
\(500\) 11.4585 + 3.36453i 0.512441 + 0.150466i
\(501\) −11.4657 + 13.2321i −0.512250 + 0.591168i
\(502\) −3.46583 + 1.01766i −0.154687 + 0.0454203i
\(503\) −15.6893 + 34.3548i −0.699551 + 1.53180i 0.140964 + 0.990015i \(0.454980\pi\)
−0.840515 + 0.541788i \(0.817747\pi\)
\(504\) 0.605299 2.57558i 0.0269621 0.114725i
\(505\) 36.2184i 1.61170i
\(506\) −15.0886 + 1.39383i −0.670771 + 0.0619633i
\(507\) 11.2330i 0.498873i
\(508\) 1.83189 + 12.7411i 0.0812770 + 0.565294i
\(509\) 0.985219 + 0.449935i 0.0436691 + 0.0199430i 0.437130 0.899398i \(-0.355995\pi\)
−0.393461 + 0.919341i \(0.628722\pi\)
\(510\) 0.225221 + 0.767032i 0.00997295 + 0.0339648i
\(511\) −7.08663 13.5073i −0.313494 0.597529i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 0.912361 + 1.41966i 0.0402817 + 0.0626796i
\(514\) −11.3442 + 5.18073i −0.500372 + 0.228512i
\(515\) −7.00999 8.08996i −0.308897 0.356486i
\(516\) −9.65572 6.20536i −0.425069 0.273176i
\(517\) 4.02199 27.9736i 0.176887 1.23028i
\(518\) 16.4284 + 9.32847i 0.721824 + 0.409869i
\(519\) −8.95962 5.75800i −0.393284 0.252748i
\(520\) −2.03607 + 1.76427i −0.0892877 + 0.0773682i
\(521\) 13.1783 + 28.8565i 0.577353 + 1.26423i 0.942789 + 0.333390i \(0.108192\pi\)
−0.365436 + 0.930836i \(0.619080\pi\)
\(522\) −1.08426 + 0.696810i −0.0474566 + 0.0304985i
\(523\) 17.0834 + 5.01614i 0.747004 + 0.219340i 0.633013 0.774141i \(-0.281818\pi\)
0.113992 + 0.993482i \(0.463636\pi\)
\(524\) 13.0817 + 11.3353i 0.571475 + 0.495186i
\(525\) −0.207580 + 2.35207i −0.00905951 + 0.102653i
\(526\) −24.7793 11.3163i −1.08043 0.493416i
\(527\) −1.83005 + 0.263122i −0.0797184 + 0.0114618i
\(528\) −3.15959 −0.137503
\(529\) −22.6108 + 4.21336i −0.983078 + 0.183189i
\(530\) 13.6182i 0.591538i
\(531\) 4.53643 0.652240i 0.196864 0.0283048i
\(532\) −3.20918 + 3.10420i −0.139136 + 0.134584i
\(533\) −13.7388 + 4.03407i −0.595093 + 0.174735i
\(534\) −5.54016 4.80058i −0.239746 0.207741i
\(535\) −3.08955 + 10.5220i −0.133573 + 0.454908i
\(536\) 7.10255 + 11.0518i 0.306783 + 0.477364i
\(537\) 3.99998 1.82673i 0.172612 0.0788291i
\(538\) −12.8298 + 11.1171i −0.553131 + 0.479291i
\(539\) 21.4166 5.52214i 0.922480 0.237856i
\(540\) −2.00608 0.288431i −0.0863279 0.0124121i
\(541\) 4.81173 33.4663i 0.206872 1.43883i −0.576409 0.817161i \(-0.695547\pi\)
0.783281 0.621667i \(-0.213544\pi\)
\(542\) −13.4330 + 20.9021i −0.576996 + 0.897823i
\(543\) −1.05724 + 0.916107i −0.0453707 + 0.0393139i
\(544\) 0.163856 + 0.358795i 0.00702528 + 0.0153832i
\(545\) −17.2165 26.7894i −0.737474 1.14753i
\(546\) −2.78008 2.15418i −0.118976 0.0921904i
\(547\) 21.6818 25.0222i 0.927049 1.06987i −0.0703308 0.997524i \(-0.522405\pi\)
0.997379 0.0723475i \(-0.0230491\pi\)
\(548\) −0.999023 3.40236i −0.0426762 0.145342i
\(549\) −4.36150 + 9.55036i −0.186144 + 0.407600i
\(550\) 2.79108 0.401297i 0.119012 0.0171114i
\(551\) 2.17502 0.0926590
\(552\) −4.77550 + 0.441143i −0.203259 + 0.0187763i
\(553\) −11.8964 + 30.3450i −0.505888 + 1.29040i
\(554\) 2.37821 + 16.5408i 0.101040 + 0.702752i
\(555\) 6.01182 13.1641i 0.255188 0.558783i
\(556\) 2.76122 + 9.40385i 0.117102 + 0.398812i
\(557\) −12.2212 10.5898i −0.517830 0.448702i 0.356316 0.934366i \(-0.384033\pi\)
−0.874146 + 0.485663i \(0.838578\pi\)
\(558\) 1.32058 4.49747i 0.0559044 0.190393i
\(559\) −12.8354 + 8.24880i −0.542879 + 0.348887i
\(560\) −0.293559 5.35412i −0.0124051 0.226253i
\(561\) 0.816131 + 0.941866i 0.0344571 + 0.0397656i
\(562\) 9.19274 14.3042i 0.387772 0.603385i
\(563\) 5.05548 35.1617i 0.213063 1.48189i −0.549783 0.835307i \(-0.685290\pi\)
0.762846 0.646580i \(-0.223801\pi\)
\(564\) 1.27295 8.85355i 0.0536008 0.372802i
\(565\) 13.2424 20.6055i 0.557111 0.866881i
\(566\) −3.65460 4.21763i −0.153614 0.177280i
\(567\) −0.144845 2.64178i −0.00608292 0.110944i
\(568\) −2.77984 + 1.78649i −0.116639 + 0.0749595i
\(569\) −8.20931 + 27.9583i −0.344152 + 1.17207i 0.587652 + 0.809113i \(0.300052\pi\)
−0.931804 + 0.362961i \(0.881766\pi\)
\(570\) 2.58480 + 2.23974i 0.108265 + 0.0938125i
\(571\) 5.15610 + 17.5601i 0.215776 + 0.734865i 0.994240 + 0.107176i \(0.0341809\pi\)
−0.778464 + 0.627689i \(0.784001\pi\)
\(572\) −1.74476 + 3.82050i −0.0729522 + 0.159743i
\(573\) −1.81418 12.6179i −0.0757884 0.527120i
\(574\) 10.4020 26.5330i 0.434170 1.10747i
\(575\) 4.16250 0.996226i 0.173588 0.0415455i
\(576\) −1.00000 −0.0416667
\(577\) −3.34121 + 0.480393i −0.139096 + 0.0199990i −0.211511 0.977376i \(-0.567839\pi\)
0.0724149 + 0.997375i \(0.476929\pi\)
\(578\) −6.99742 + 15.3222i −0.291054 + 0.637320i
\(579\) −2.39211 8.14679i −0.0994129 0.338569i
\(580\) −1.71059 + 1.97412i −0.0710283 + 0.0819711i
\(581\) 13.1652 + 10.2012i 0.546183 + 0.423217i
\(582\) 6.57808 + 10.2357i 0.272670 + 0.424283i
\(583\) −8.81947 19.3119i −0.365265 0.799819i
\(584\) −4.35710 + 3.77545i −0.180298 + 0.156229i
\(585\) −1.45655 + 2.26643i −0.0602207 + 0.0937053i
\(586\) −0.429948 + 2.99036i −0.0177610 + 0.123530i
\(587\) −12.4108 1.78440i −0.512247 0.0736501i −0.118656 0.992935i \(-0.537858\pi\)
−0.393592 + 0.919285i \(0.628768\pi\)
\(588\) 6.77830 1.74774i 0.279533 0.0720756i
\(589\) −5.97809 + 5.18004i −0.246323 + 0.213440i
\(590\) 8.44917 3.85861i 0.347847 0.158856i
\(591\) 5.45997 + 8.49587i 0.224593 + 0.349474i
\(592\) 2.01173 6.85133i 0.0826816 0.281588i
\(593\) 14.8339 + 12.8536i 0.609155 + 0.527836i 0.903902 0.427740i \(-0.140690\pi\)
−0.294747 + 0.955575i \(0.595235\pi\)
\(594\) −3.03160 + 0.890159i −0.124388 + 0.0365237i
\(595\) −1.52022 + 1.47050i −0.0623231 + 0.0602845i
\(596\) 0.940885 0.135279i 0.0385402 0.00554124i
\(597\) 10.1584i 0.415754i
\(598\) −2.10367 + 6.01803i −0.0860255 + 0.246095i
\(599\) 7.92967 0.323998 0.161999 0.986791i \(-0.448206\pi\)
0.161999 + 0.986791i \(0.448206\pi\)
\(600\) 0.883370 0.127009i 0.0360634 0.00518514i
\(601\) −3.25760 1.48770i −0.132880 0.0606844i 0.347865 0.937545i \(-0.386907\pi\)
−0.480746 + 0.876860i \(0.659634\pi\)
\(602\) 2.66966 30.2498i 0.108807 1.23289i
\(603\) 9.92850 + 8.60309i 0.404320 + 0.350345i
\(604\) 8.14173 + 2.39063i 0.331282 + 0.0972732i
\(605\) 1.73397 1.11435i 0.0704958 0.0453049i
\(606\) 7.42370 + 16.2556i 0.301567 + 0.660340i
\(607\) 4.43826 3.84577i 0.180143 0.156095i −0.560121 0.828411i \(-0.689246\pi\)
0.740265 + 0.672315i \(0.234700\pi\)
\(608\) 1.41966 + 0.912361i 0.0575749 + 0.0370011i
\(609\) −2.96530 1.68377i −0.120160 0.0682298i
\(610\) −3.02828 + 21.0621i −0.122611 + 0.852781i
\(611\) −10.0026 6.42826i −0.404661 0.260060i
\(612\) 0.258303 + 0.298098i 0.0104413 + 0.0120499i
\(613\) 15.8186 7.22412i 0.638908 0.291780i −0.0695007 0.997582i \(-0.522141\pi\)
0.708409 + 0.705802i \(0.249413\pi\)
\(614\) 17.2681 + 26.8696i 0.696882 + 1.08437i
\(615\) −20.9467 6.15051i −0.844652 0.248012i
\(616\) −3.88374 7.40254i −0.156480 0.298257i
\(617\) 7.53258 + 25.6536i 0.303250 + 1.03278i 0.960309 + 0.278937i \(0.0899820\pi\)
−0.657059 + 0.753839i \(0.728200\pi\)
\(618\) −4.80444 2.19412i −0.193263 0.0882603i
\(619\) −1.16464 8.10026i −0.0468109 0.325577i −0.999749 0.0224115i \(-0.992866\pi\)
0.952938 0.303165i \(-0.0980435\pi\)
\(620\) 9.49987i 0.381524i
\(621\) −4.45777 + 1.76869i −0.178884 + 0.0709750i
\(622\) 11.0516i 0.443127i
\(623\) 4.43726 18.8808i 0.177775 0.756442i
\(624\) −0.552212 + 1.20918i −0.0221062 + 0.0484058i
\(625\) 18.9416 5.56176i 0.757664 0.222470i
\(626\) −2.65387 + 3.06273i −0.106070 + 0.122411i
\(627\) 5.11600 + 1.50219i 0.204313 + 0.0599918i
\(628\) −9.57100 + 6.15091i −0.381925 + 0.245448i
\(629\) −2.56200 + 1.17003i −0.102154 + 0.0466520i
\(630\) −1.79010 5.05454i −0.0713192 0.201378i
\(631\) 18.9792 29.5321i 0.755548 1.17566i −0.224028 0.974583i \(-0.571921\pi\)
0.979576 0.201073i \(-0.0644429\pi\)
\(632\) 12.1938 + 1.75321i 0.485045 + 0.0697389i
\(633\) −9.09656 1.30789i −0.361556 0.0519839i
\(634\) −17.4762 11.2313i −0.694069 0.446051i
\(635\) 17.0840 + 19.7160i 0.677958 + 0.782405i
\(636\) −2.79133 6.11217i −0.110684 0.242363i
\(637\) 1.62974 9.16129i 0.0645725 0.362984i
\(638\) −1.14729 + 3.90731i −0.0454216 + 0.154692i
\(639\) −2.16392 + 2.49730i −0.0856033 + 0.0987915i
\(640\) −1.94461 + 0.570990i −0.0768676 + 0.0225703i
\(641\) 4.73216 + 2.16111i 0.186909 + 0.0853586i 0.506671 0.862139i \(-0.330876\pi\)
−0.319762 + 0.947498i \(0.603603\pi\)
\(642\) 0.770047 + 5.35579i 0.0303913 + 0.211376i
\(643\) −24.0749 −0.949420 −0.474710 0.880142i \(-0.657447\pi\)
−0.474710 + 0.880142i \(0.657447\pi\)
\(644\) −6.90355 10.6462i −0.272038 0.419518i
\(645\) −23.2621 −0.915945
\(646\) −0.0947303 0.658863i −0.00372711 0.0259226i
\(647\) −7.00822 3.20055i −0.275522 0.125827i 0.272863 0.962053i \(-0.412030\pi\)
−0.548384 + 0.836227i \(0.684757\pi\)
\(648\) −0.959493 + 0.281733i −0.0376924 + 0.0110675i
\(649\) 9.48280 10.9437i 0.372233 0.429579i
\(650\) 0.334231 1.13829i 0.0131096 0.0446472i
\(651\) 12.1603 2.43430i 0.476599 0.0954079i
\(652\) −6.25442 13.6953i −0.244942 0.536348i
\(653\) −29.9476 34.5614i −1.17194 1.35249i −0.923385 0.383875i \(-0.874589\pi\)
−0.248556 0.968617i \(-0.579956\pi\)
\(654\) −13.2182 8.49481i −0.516872 0.332173i
\(655\) 34.7243 + 4.99260i 1.35679 + 0.195077i
\(656\) −10.6620 1.53297i −0.416282 0.0598523i
\(657\) −3.11694 + 4.85005i −0.121603 + 0.189219i
\(658\) 22.3075 7.90035i 0.869637 0.307988i
\(659\) −23.7361 + 10.8399i −0.924626 + 0.422263i −0.820075 0.572257i \(-0.806068\pi\)
−0.104552 + 0.994519i \(0.533341\pi\)
\(660\) −5.38702 + 3.46203i −0.209689 + 0.134759i
\(661\) 43.4872 + 12.7690i 1.69145 + 0.496656i 0.978793 0.204852i \(-0.0656714\pi\)
0.712662 + 0.701508i \(0.247490\pi\)
\(662\) −0.704765 + 0.813342i −0.0273915 + 0.0316114i
\(663\) 0.503091 0.147721i 0.0195384 0.00573700i
\(664\) 2.61502 5.72610i 0.101483 0.222216i
\(665\) −2.07023 + 8.80895i −0.0802801 + 0.341597i
\(666\) 7.14057i 0.276691i
\(667\) −1.18851 + 6.06581i −0.0460192 + 0.234869i
\(668\) 17.5086i 0.677429i
\(669\) 0.407309 + 2.83290i 0.0157475 + 0.109526i
\(670\) 24.2194 + 11.0606i 0.935675 + 0.427309i
\(671\) 9.34591 + 31.8292i 0.360795 + 1.22875i
\(672\) −1.22919 2.34288i −0.0474171 0.0903786i
\(673\) −25.3245 7.43594i −0.976187 0.286634i −0.245537 0.969387i \(-0.578964\pi\)
−0.730649 + 0.682753i \(0.760783\pi\)
\(674\) 15.1157 + 23.5205i 0.582235 + 0.905976i
\(675\) 0.811804 0.370739i 0.0312464 0.0142697i
\(676\) −7.35602 8.48930i −0.282924 0.326512i
\(677\) −1.84616 1.18645i −0.0709536 0.0455991i 0.504683 0.863305i \(-0.331609\pi\)
−0.575637 + 0.817706i \(0.695246\pi\)
\(678\) 1.71995 11.9625i 0.0660543 0.459418i
\(679\) −15.8953 + 27.9933i −0.610005 + 1.07428i
\(680\) 0.672510 + 0.432196i 0.0257896 + 0.0165740i
\(681\) −5.53564 + 4.79666i −0.212126 + 0.183808i
\(682\) −6.15232 13.4717i −0.235585 0.515858i
\(683\) 26.0968 16.7714i 0.998565 0.641739i 0.0641560 0.997940i \(-0.479564\pi\)
0.934409 + 0.356201i \(0.115928\pi\)
\(684\) 1.61920 + 0.475439i 0.0619115 + 0.0181789i
\(685\) −5.43135 4.70629i −0.207521 0.179818i
\(686\) 12.4266 + 13.7324i 0.474449 + 0.524307i
\(687\) −0.0891846 0.0407293i −0.00340261 0.00155392i
\(688\) −11.3610 + 1.63346i −0.433132 + 0.0622750i
\(689\) −8.93210 −0.340286
\(690\) −7.65874 + 5.98475i −0.291563 + 0.227836i
\(691\) 30.9880i 1.17884i −0.807827 0.589420i \(-0.799356\pi\)
0.807827 0.589420i \(-0.200644\pi\)
\(692\) −10.5419 + 1.51570i −0.400743 + 0.0576182i
\(693\) −5.81196 6.00850i −0.220778 0.228244i
\(694\) −16.6080 + 4.87655i −0.630432 + 0.185111i
\(695\) 15.0118 + 13.0078i 0.569430 + 0.493414i
\(696\) −0.363114 + 1.23665i −0.0137638 + 0.0468751i
\(697\) 2.29706 + 3.57429i 0.0870073 + 0.135386i
\(698\) −12.0534 + 5.50462i −0.456229 + 0.208353i
\(699\) 16.7975 14.5551i 0.635340 0.550525i
\(700\) 1.38340 + 1.91351i 0.0522876 + 0.0723239i
\(701\) 37.6105 + 5.40758i 1.42053 + 0.204241i 0.809386 0.587277i \(-0.199800\pi\)
0.611145 + 0.791519i \(0.290709\pi\)
\(702\) −0.189180 + 1.31577i −0.00714012 + 0.0496606i
\(703\) −6.51478 + 10.1372i −0.245709 + 0.382331i
\(704\) −2.38786 + 2.06909i −0.0899958 + 0.0779818i
\(705\) −7.53068 16.4899i −0.283622 0.621045i
\(706\) 12.3005 + 19.1400i 0.462937 + 0.720344i
\(707\) −28.9598 + 37.3741i −1.08915 + 1.40560i
\(708\) 3.00128 3.46366i 0.112795 0.130172i
\(709\) 7.35810 + 25.0594i 0.276339 + 0.941125i 0.974350 + 0.225038i \(0.0722505\pi\)
−0.698011 + 0.716087i \(0.745931\pi\)
\(710\) −2.78205 + 6.09185i −0.104409 + 0.228623i
\(711\) 12.1938 1.75321i 0.457304 0.0657505i
\(712\) −7.33069 −0.274729
\(713\) −11.1797 19.5026i −0.418684 0.730377i
\(714\) −0.380903 + 0.971592i −0.0142549 + 0.0363609i
\(715\) 1.21142 + 8.42563i 0.0453047 + 0.315101i
\(716\) 1.82673 3.99998i 0.0682680 0.149486i
\(717\) −3.24357 11.0466i −0.121133 0.412542i
\(718\) 23.9577 + 20.7595i 0.894095 + 0.774737i
\(719\) 0.311066 1.05939i 0.0116008 0.0395087i −0.953489 0.301427i \(-0.902537\pi\)
0.965090 + 0.261918i \(0.0843552\pi\)
\(720\) −1.70498 + 1.09572i −0.0635407 + 0.0408351i
\(721\) −0.765035 13.9532i −0.0284914 0.519645i
\(722\) 10.5774 + 12.2070i 0.393651 + 0.454297i
\(723\) 4.19213 6.52309i 0.155907 0.242596i
\(724\) −0.199089 + 1.38470i −0.00739909 + 0.0514618i
\(725\) 0.163697 1.13854i 0.00607956 0.0422843i
\(726\) 0.549834 0.855558i 0.0204063 0.0317527i
\(727\) −8.91459 10.2880i −0.330624 0.381560i 0.565961 0.824432i \(-0.308505\pi\)
−0.896585 + 0.442872i \(0.853960\pi\)
\(728\) −3.51173 + 0.192543i −0.130153 + 0.00713612i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) −3.29191 + 11.2112i −0.121839 + 0.414946i
\(731\) 3.42150 + 2.96475i 0.126549 + 0.109655i
\(732\) 2.95795 + 10.0739i 0.109329 + 0.372341i
\(733\) 21.8718 47.8926i 0.807854 1.76895i 0.191486 0.981495i \(-0.438669\pi\)
0.616368 0.787459i \(-0.288604\pi\)
\(734\) −3.08684 21.4694i −0.113937 0.792451i
\(735\) 9.64180 10.4070i 0.355643 0.383868i
\(736\) −3.32019 + 3.46068i −0.122384 + 0.127562i
\(737\) 41.5084 1.52898
\(738\) −10.6620 + 1.53297i −0.392474 + 0.0564293i
\(739\) −13.4379 + 29.4250i −0.494322 + 1.08241i 0.483951 + 0.875095i \(0.339201\pi\)
−0.978273 + 0.207320i \(0.933526\pi\)
\(740\) −4.07719 13.8856i −0.149881 0.510446i
\(741\) 1.46903 1.69535i 0.0539662 0.0622803i
\(742\) 10.8890 14.0528i 0.399748 0.515894i
\(743\) 2.39026 + 3.71932i 0.0876903 + 0.136449i 0.882328 0.470636i \(-0.155975\pi\)
−0.794637 + 0.607084i \(0.792339\pi\)
\(744\) −1.94719 4.26375i −0.0713875 0.156317i
\(745\) 1.45596 1.26160i 0.0533422 0.0462213i
\(746\) −7.07511 + 11.0091i −0.259038 + 0.403071i
\(747\) 0.895867 6.23089i 0.0327781 0.227976i
\(748\) 1.23358 + 0.177362i 0.0451042 + 0.00648501i
\(749\) −11.6014 + 8.38743i −0.423908 + 0.306470i
\(750\) 9.02538 7.82053i 0.329560 0.285565i
\(751\) −31.3250 + 14.3057i −1.14307 + 0.522021i −0.894710 0.446647i \(-0.852618\pi\)
−0.248357 + 0.968669i \(0.579891\pi\)
\(752\) −4.83581 7.52467i −0.176344 0.274397i
\(753\) −1.01766 + 3.46583i −0.0370855 + 0.126302i
\(754\) 1.29481 + 1.12196i 0.0471543 + 0.0408595i
\(755\) 16.5009 4.84510i 0.600529 0.176331i
\(756\) −1.83947 1.90167i −0.0669008 0.0691632i
\(757\) 53.3474 7.67020i 1.93895 0.278778i 0.940764 0.339063i \(-0.110110\pi\)
0.998181 + 0.0602844i \(0.0192008\pi\)
\(758\) 0.100719i 0.00365827i
\(759\) −6.98495 + 13.4469i −0.253538 + 0.488092i
\(760\) 3.42018 0.124063
\(761\) 12.0544 1.73316i 0.436972 0.0628271i 0.0796815 0.996820i \(-0.474610\pi\)
0.357291 + 0.933993i \(0.383701\pi\)
\(762\) 11.7089 + 5.34726i 0.424168 + 0.193711i
\(763\) 3.65463 41.4104i 0.132307 1.49916i
\(764\) −9.63403 8.34793i −0.348547 0.302018i
\(765\) 0.767032 + 0.225221i 0.0277321 + 0.00814288i
\(766\) −5.33679 + 3.42974i −0.192826 + 0.123922i
\(767\) −2.53083 5.54175i −0.0913831 0.200101i
\(768\) −0.755750 + 0.654861i −0.0272708 + 0.0236303i
\(769\) 39.0754 + 25.1123i 1.40910 + 0.905571i 0.999976 0.00690925i \(-0.00219930\pi\)
0.409120 + 0.912480i \(0.365836\pi\)
\(770\) −14.7328 8.36564i −0.530933 0.301477i
\(771\) −1.77484 + 12.3443i −0.0639192 + 0.444568i
\(772\) −7.14285 4.59043i −0.257077 0.165213i
\(773\) 0.212027 + 0.244692i 0.00762609 + 0.00880098i 0.759550 0.650449i \(-0.225419\pi\)
−0.751924 + 0.659250i \(0.770874\pi\)
\(774\)