Properties

Label 731.2.k.a.35.8
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.8
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.376167 + 1.64810i) q^{2} +(0.312756 + 1.37027i) q^{3} +(-0.772785 - 0.372154i) q^{4} +(1.51766 - 1.90309i) q^{5} -2.37599 q^{6} +1.98101 q^{7} +(-1.20395 + 1.50971i) q^{8} +(0.923074 - 0.444529i) q^{9} +O(q^{10})\) \(q+(-0.376167 + 1.64810i) q^{2} +(0.312756 + 1.37027i) q^{3} +(-0.772785 - 0.372154i) q^{4} +(1.51766 - 1.90309i) q^{5} -2.37599 q^{6} +1.98101 q^{7} +(-1.20395 + 1.50971i) q^{8} +(0.923074 - 0.444529i) q^{9} +(2.56558 + 3.21713i) q^{10} +(-1.58866 + 0.765056i) q^{11} +(0.268259 - 1.17532i) q^{12} +(2.50522 - 3.14145i) q^{13} +(-0.745193 + 3.26490i) q^{14} +(3.08241 + 1.48441i) q^{15} +(-3.10483 - 3.89333i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.385397 + 1.68853i) q^{18} +(6.77092 + 3.26070i) q^{19} +(-1.88107 + 0.905874i) q^{20} +(0.619574 + 2.71453i) q^{21} +(-0.663286 - 2.90605i) q^{22} +(-6.27111 + 3.02001i) q^{23} +(-2.44526 - 1.17757i) q^{24} +(-0.205840 - 0.901843i) q^{25} +(4.23503 + 5.31056i) q^{26} +(3.52679 + 4.42246i) q^{27} +(-1.53090 - 0.737242i) q^{28} +(0.828853 - 3.63144i) q^{29} +(-3.60595 + 4.52172i) q^{30} +(-0.710592 + 3.11331i) q^{31} +(4.10500 - 1.97686i) q^{32} +(-1.54520 - 1.93762i) q^{33} +(-1.52307 + 0.733472i) q^{34} +(3.00651 - 3.77004i) q^{35} -0.878771 q^{36} +2.30882 q^{37} +(-7.92096 + 9.93257i) q^{38} +(5.08816 + 2.45033i) q^{39} +(1.04592 + 4.58246i) q^{40} +(-1.27951 + 5.60592i) q^{41} -4.70687 q^{42} +(-3.16932 - 5.74068i) q^{43} +1.51241 q^{44} +(0.554936 - 2.43133i) q^{45} +(-2.61828 - 11.4714i) q^{46} +(9.92279 + 4.77856i) q^{47} +(4.36388 - 5.47213i) q^{48} -3.07559 q^{49} +1.56376 q^{50} +(-0.876323 + 1.09887i) q^{51} +(-3.10510 + 1.49534i) q^{52} +(-6.65846 - 8.34945i) q^{53} +(-8.61530 + 4.14891i) q^{54} +(-0.955072 + 4.18444i) q^{55} +(-2.38505 + 2.99075i) q^{56} +(-2.35041 + 10.2978i) q^{57} +(5.67318 + 2.73206i) q^{58} +(1.90912 + 2.39396i) q^{59} +(-1.82961 - 2.29426i) q^{60} +(-0.821818 - 3.60062i) q^{61} +(-4.86373 - 2.34225i) q^{62} +(1.82862 - 0.880617i) q^{63} +(-0.502304 - 2.20074i) q^{64} +(-2.17637 - 9.53531i) q^{65} +(3.77463 - 1.81777i) q^{66} +(-3.99750 - 1.92509i) q^{67} +(-0.190862 - 0.836222i) q^{68} +(-6.09957 - 7.64861i) q^{69} +(5.08244 + 6.37318i) q^{70} +(-11.6196 - 5.59570i) q^{71} +(-0.440228 + 1.92876i) q^{72} +(0.0959713 - 0.120344i) q^{73} +(-0.868505 + 3.80517i) q^{74} +(1.17139 - 0.564113i) q^{75} +(-4.01899 - 5.03965i) q^{76} +(-3.14715 + 1.51559i) q^{77} +(-5.95239 + 7.46406i) q^{78} -9.37167 q^{79} -12.1214 q^{80} +(-3.04059 + 3.81278i) q^{81} +(-8.75779 - 4.21753i) q^{82} +(-2.30282 - 10.0893i) q^{83} +(0.531425 - 2.32833i) q^{84} +2.43414 q^{85} +(10.6534 - 3.06389i) q^{86} +5.23529 q^{87} +(0.757654 - 3.31950i) q^{88} +(-0.558867 - 2.44855i) q^{89} +(3.79833 + 1.82918i) q^{90} +(4.96287 - 6.22325i) q^{91} +5.97013 q^{92} -4.48833 q^{93} +(-11.6082 + 14.5562i) q^{94} +(16.4814 - 7.93701i) q^{95} +(3.99271 + 5.00670i) q^{96} +(7.71927 - 3.71741i) q^{97} +(1.15694 - 5.06887i) q^{98} +(-1.12636 + 1.41241i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.376167 + 1.64810i −0.265991 + 1.16538i 0.648642 + 0.761094i \(0.275337\pi\)
−0.914632 + 0.404287i \(0.867520\pi\)
\(3\) 0.312756 + 1.37027i 0.180570 + 0.791128i 0.981359 + 0.192182i \(0.0615564\pi\)
−0.800790 + 0.598946i \(0.795586\pi\)
\(4\) −0.772785 0.372154i −0.386393 0.186077i
\(5\) 1.51766 1.90309i 0.678719 0.851086i −0.316517 0.948587i \(-0.602513\pi\)
0.995235 + 0.0975006i \(0.0310848\pi\)
\(6\) −2.37599 −0.969995
\(7\) 1.98101 0.748753 0.374376 0.927277i \(-0.377857\pi\)
0.374376 + 0.927277i \(0.377857\pi\)
\(8\) −1.20395 + 1.50971i −0.425662 + 0.533763i
\(9\) 0.923074 0.444529i 0.307691 0.148176i
\(10\) 2.56558 + 3.21713i 0.811307 + 1.01735i
\(11\) −1.58866 + 0.765056i −0.478998 + 0.230673i −0.657772 0.753217i \(-0.728501\pi\)
0.178775 + 0.983890i \(0.442787\pi\)
\(12\) 0.268259 1.17532i 0.0774398 0.339286i
\(13\) 2.50522 3.14145i 0.694823 0.871281i −0.301802 0.953371i \(-0.597588\pi\)
0.996625 + 0.0820900i \(0.0261595\pi\)
\(14\) −0.745193 + 3.26490i −0.199161 + 0.872582i
\(15\) 3.08241 + 1.48441i 0.795874 + 0.383273i
\(16\) −3.10483 3.89333i −0.776207 0.973333i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) 0.385397 + 1.68853i 0.0908388 + 0.397991i
\(19\) 6.77092 + 3.26070i 1.55336 + 0.748057i 0.996582 0.0826078i \(-0.0263249\pi\)
0.556773 + 0.830664i \(0.312039\pi\)
\(20\) −1.88107 + 0.905874i −0.420620 + 0.202560i
\(21\) 0.619574 + 2.71453i 0.135202 + 0.592359i
\(22\) −0.663286 2.90605i −0.141413 0.619571i
\(23\) −6.27111 + 3.02001i −1.30762 + 0.629715i −0.952338 0.305045i \(-0.901329\pi\)
−0.355280 + 0.934760i \(0.615614\pi\)
\(24\) −2.44526 1.17757i −0.499136 0.240371i
\(25\) −0.205840 0.901843i −0.0411679 0.180369i
\(26\) 4.23503 + 5.31056i 0.830557 + 1.04149i
\(27\) 3.52679 + 4.42246i 0.678731 + 0.851102i
\(28\) −1.53090 0.737242i −0.289313 0.139326i
\(29\) 0.828853 3.63144i 0.153914 0.674342i −0.837811 0.545961i \(-0.816165\pi\)
0.991725 0.128381i \(-0.0409780\pi\)
\(30\) −3.60595 + 4.52172i −0.658354 + 0.825549i
\(31\) −0.710592 + 3.11331i −0.127626 + 0.559167i 0.870166 + 0.492758i \(0.164011\pi\)
−0.997793 + 0.0664086i \(0.978846\pi\)
\(32\) 4.10500 1.97686i 0.725668 0.349463i
\(33\) −1.54520 1.93762i −0.268984 0.337296i
\(34\) −1.52307 + 0.733472i −0.261205 + 0.125789i
\(35\) 3.00651 3.77004i 0.508192 0.637253i
\(36\) −0.878771 −0.146462
\(37\) 2.30882 0.379568 0.189784 0.981826i \(-0.439221\pi\)
0.189784 + 0.981826i \(0.439221\pi\)
\(38\) −7.92096 + 9.93257i −1.28495 + 1.61127i
\(39\) 5.08816 + 2.45033i 0.814758 + 0.392367i
\(40\) 1.04592 + 4.58246i 0.165374 + 0.724550i
\(41\) −1.27951 + 5.60592i −0.199827 + 0.875497i 0.771213 + 0.636578i \(0.219650\pi\)
−0.971039 + 0.238920i \(0.923207\pi\)
\(42\) −4.70687 −0.726286
\(43\) −3.16932 5.74068i −0.483317 0.875445i
\(44\) 1.51241 0.228004
\(45\) 0.554936 2.43133i 0.0827250 0.362442i
\(46\) −2.61828 11.4714i −0.386044 1.69137i
\(47\) 9.92279 + 4.77856i 1.44739 + 0.697025i 0.982139 0.188155i \(-0.0602509\pi\)
0.465248 + 0.885180i \(0.345965\pi\)
\(48\) 4.36388 5.47213i 0.629871 0.789833i
\(49\) −3.07559 −0.439370
\(50\) 1.56376 0.221148
\(51\) −0.876323 + 1.09887i −0.122710 + 0.153873i
\(52\) −3.10510 + 1.49534i −0.430600 + 0.207366i
\(53\) −6.65846 8.34945i −0.914610 1.14688i −0.988741 0.149636i \(-0.952190\pi\)
0.0741312 0.997248i \(-0.476382\pi\)
\(54\) −8.61530 + 4.14891i −1.17239 + 0.564595i
\(55\) −0.955072 + 4.18444i −0.128782 + 0.564230i
\(56\) −2.38505 + 2.99075i −0.318715 + 0.399656i
\(57\) −2.35041 + 10.2978i −0.311319 + 1.36398i
\(58\) 5.67318 + 2.73206i 0.744925 + 0.358737i
\(59\) 1.90912 + 2.39396i 0.248546 + 0.311667i 0.890417 0.455146i \(-0.150413\pi\)
−0.641871 + 0.766813i \(0.721842\pi\)
\(60\) −1.82961 2.29426i −0.236202 0.296188i
\(61\) −0.821818 3.60062i −0.105223 0.461012i −0.999898 0.0142942i \(-0.995450\pi\)
0.894675 0.446718i \(-0.147407\pi\)
\(62\) −4.86373 2.34225i −0.617695 0.297466i
\(63\) 1.82862 0.880617i 0.230385 0.110947i
\(64\) −0.502304 2.20074i −0.0627880 0.275092i
\(65\) −2.17637 9.53531i −0.269946 1.18271i
\(66\) 3.77463 1.81777i 0.464625 0.223752i
\(67\) −3.99750 1.92509i −0.488372 0.235187i 0.173458 0.984841i \(-0.444506\pi\)
−0.661830 + 0.749654i \(0.730220\pi\)
\(68\) −0.190862 0.836222i −0.0231454 0.101407i
\(69\) −6.09957 7.64861i −0.734302 0.920785i
\(70\) 5.08244 + 6.37318i 0.607468 + 0.761741i
\(71\) −11.6196 5.59570i −1.37899 0.664087i −0.410207 0.911992i \(-0.634544\pi\)
−0.968784 + 0.247905i \(0.920258\pi\)
\(72\) −0.440228 + 1.92876i −0.0518814 + 0.227307i
\(73\) 0.0959713 0.120344i 0.0112326 0.0140852i −0.776183 0.630507i \(-0.782847\pi\)
0.787416 + 0.616422i \(0.211418\pi\)
\(74\) −0.868505 + 3.80517i −0.100962 + 0.442342i
\(75\) 1.17139 0.564113i 0.135261 0.0651382i
\(76\) −4.01899 5.03965i −0.461009 0.578087i
\(77\) −3.14715 + 1.51559i −0.358651 + 0.172717i
\(78\) −5.95239 + 7.46406i −0.673975 + 0.845138i
\(79\) −9.37167 −1.05440 −0.527198 0.849743i \(-0.676757\pi\)
−0.527198 + 0.849743i \(0.676757\pi\)
\(80\) −12.1214 −1.35522
\(81\) −3.04059 + 3.81278i −0.337843 + 0.423642i
\(82\) −8.75779 4.21753i −0.967136 0.465748i
\(83\) −2.30282 10.0893i −0.252767 1.10745i −0.928802 0.370576i \(-0.879160\pi\)
0.676035 0.736869i \(-0.263697\pi\)
\(84\) 0.531425 2.32833i 0.0579832 0.254041i
\(85\) 2.43414 0.264020
\(86\) 10.6534 3.06389i 1.14879 0.330388i
\(87\) 5.23529 0.561283
\(88\) 0.757654 3.31950i 0.0807662 0.353860i
\(89\) −0.558867 2.44855i −0.0592397 0.259546i 0.936632 0.350314i \(-0.113925\pi\)
−0.995872 + 0.0907676i \(0.971068\pi\)
\(90\) 3.79833 + 1.82918i 0.400379 + 0.192812i
\(91\) 4.96287 6.22325i 0.520251 0.652374i
\(92\) 5.97013 0.622429
\(93\) −4.48833 −0.465418
\(94\) −11.6082 + 14.5562i −1.19729 + 1.50136i
\(95\) 16.4814 7.93701i 1.69095 0.814320i
\(96\) 3.99271 + 5.00670i 0.407504 + 0.510994i
\(97\) 7.71927 3.71741i 0.783774 0.377445i 0.00119661 0.999999i \(-0.499619\pi\)
0.782577 + 0.622554i \(0.213905\pi\)
\(98\) 1.15694 5.06887i 0.116868 0.512033i
\(99\) −1.12636 + 1.41241i −0.113203 + 0.141952i
\(100\) −0.176554 + 0.773535i −0.0176554 + 0.0773535i
\(101\) −16.9271 8.15166i −1.68431 0.811121i −0.996349 0.0853730i \(-0.972792\pi\)
−0.687961 0.725748i \(-0.741494\pi\)
\(102\) −1.48141 1.85763i −0.146681 0.183932i
\(103\) 6.07551 + 7.61845i 0.598638 + 0.750668i 0.985165 0.171610i \(-0.0548968\pi\)
−0.386527 + 0.922278i \(0.626325\pi\)
\(104\) 1.72650 + 7.56431i 0.169298 + 0.741742i
\(105\) 6.10629 + 2.94063i 0.595913 + 0.286976i
\(106\) 16.2654 7.83300i 1.57984 0.760808i
\(107\) −0.312905 1.37093i −0.0302497 0.132533i 0.957548 0.288273i \(-0.0930809\pi\)
−0.987798 + 0.155740i \(0.950224\pi\)
\(108\) −1.07962 4.73012i −0.103886 0.455156i
\(109\) 3.10016 1.49296i 0.296942 0.143000i −0.279481 0.960151i \(-0.590162\pi\)
0.576423 + 0.817152i \(0.304448\pi\)
\(110\) −6.53711 3.14810i −0.623289 0.300160i
\(111\) 0.722099 + 3.16372i 0.0685386 + 0.300287i
\(112\) −6.15071 7.71274i −0.581187 0.728786i
\(113\) 8.40423 + 10.5386i 0.790603 + 0.991385i 0.999908 + 0.0135350i \(0.00430844\pi\)
−0.209305 + 0.977850i \(0.567120\pi\)
\(114\) −16.0877 7.74741i −1.50675 0.725611i
\(115\) −3.77009 + 16.5178i −0.351562 + 1.54030i
\(116\) −1.99198 + 2.49786i −0.184951 + 0.231921i
\(117\) 0.916039 4.01343i 0.0846879 0.371042i
\(118\) −4.66362 + 2.24588i −0.429321 + 0.206750i
\(119\) 1.23514 + 1.54882i 0.113225 + 0.141980i
\(120\) −5.95210 + 2.86638i −0.543350 + 0.261664i
\(121\) −4.91987 + 6.16933i −0.447261 + 0.560848i
\(122\) 6.24331 0.565243
\(123\) −8.08182 −0.728713
\(124\) 1.70776 2.14147i 0.153362 0.192310i
\(125\) 8.93674 + 4.30371i 0.799326 + 0.384935i
\(126\) 0.763476 + 3.34501i 0.0680158 + 0.297997i
\(127\) 2.50618 10.9803i 0.222388 0.974345i −0.733287 0.679920i \(-0.762015\pi\)
0.955674 0.294425i \(-0.0951282\pi\)
\(128\) 12.9284 1.14272
\(129\) 6.87508 6.13827i 0.605317 0.540444i
\(130\) 16.5338 1.45011
\(131\) −2.97854 + 13.0498i −0.260236 + 1.14017i 0.660760 + 0.750597i \(0.270234\pi\)
−0.920996 + 0.389571i \(0.872623\pi\)
\(132\) 0.473015 + 2.07241i 0.0411706 + 0.180380i
\(133\) 13.4133 + 6.45950i 1.16308 + 0.560109i
\(134\) 4.67647 5.86410i 0.403985 0.506581i
\(135\) 13.7688 1.18503
\(136\) −1.93099 −0.165581
\(137\) 13.7175 17.2012i 1.17197 1.46960i 0.318911 0.947785i \(-0.396683\pi\)
0.853057 0.521817i \(-0.174746\pi\)
\(138\) 14.9001 7.17552i 1.26838 0.610821i
\(139\) 8.05639 + 10.1024i 0.683334 + 0.856874i 0.995657 0.0931021i \(-0.0296783\pi\)
−0.312322 + 0.949976i \(0.601107\pi\)
\(140\) −3.72642 + 1.79455i −0.314940 + 0.151667i
\(141\) −3.44453 + 15.0915i −0.290081 + 1.27093i
\(142\) 13.5932 17.0453i 1.14071 1.43041i
\(143\) −1.57655 + 6.90731i −0.131838 + 0.577618i
\(144\) −4.59668 2.21365i −0.383057 0.184471i
\(145\) −5.65303 7.08867i −0.469459 0.588682i
\(146\) 0.162238 + 0.203440i 0.0134269 + 0.0168368i
\(147\) −0.961908 4.21439i −0.0793368 0.347597i
\(148\) −1.78423 0.859238i −0.146662 0.0706289i
\(149\) −6.79888 + 3.27417i −0.556986 + 0.268230i −0.691129 0.722732i \(-0.742886\pi\)
0.134143 + 0.990962i \(0.457172\pi\)
\(150\) 0.489074 + 2.14277i 0.0399327 + 0.174957i
\(151\) 1.03751 + 4.54565i 0.0844317 + 0.369919i 0.999438 0.0335200i \(-0.0106718\pi\)
−0.915006 + 0.403439i \(0.867815\pi\)
\(152\) −13.0746 + 6.29639i −1.06049 + 0.510705i
\(153\) 0.923074 + 0.444529i 0.0746261 + 0.0359380i
\(154\) −1.31398 5.75692i −0.105883 0.463906i
\(155\) 4.84646 + 6.07727i 0.389277 + 0.488138i
\(156\) −3.02016 3.78716i −0.241806 0.303215i
\(157\) −17.9766 8.65705i −1.43469 0.690908i −0.454823 0.890582i \(-0.650297\pi\)
−0.979862 + 0.199674i \(0.936012\pi\)
\(158\) 3.52532 15.4454i 0.280459 1.22877i
\(159\) 9.35855 11.7353i 0.742181 0.930666i
\(160\) 2.46786 10.8124i 0.195101 0.854794i
\(161\) −12.4232 + 5.98268i −0.979082 + 0.471501i
\(162\) −5.14006 6.44543i −0.403841 0.506401i
\(163\) 9.45179 4.55174i 0.740321 0.356520i −0.0254130 0.999677i \(-0.508090\pi\)
0.765734 + 0.643157i \(0.222376\pi\)
\(164\) 3.07505 3.85600i 0.240121 0.301103i
\(165\) −6.03254 −0.469632
\(166\) 17.4944 1.35783
\(167\) 3.82148 4.79199i 0.295715 0.370815i −0.611671 0.791112i \(-0.709503\pi\)
0.907387 + 0.420297i \(0.138074\pi\)
\(168\) −4.84409 2.33279i −0.373730 0.179979i
\(169\) −0.699788 3.06597i −0.0538299 0.235844i
\(170\) −0.915644 + 4.01170i −0.0702267 + 0.307683i
\(171\) 7.69953 0.588798
\(172\) 0.312790 + 5.61579i 0.0238500 + 0.428200i
\(173\) 6.65404 0.505898 0.252949 0.967480i \(-0.418600\pi\)
0.252949 + 0.967480i \(0.418600\pi\)
\(174\) −1.96935 + 8.62828i −0.149296 + 0.654108i
\(175\) −0.407771 1.78656i −0.0308246 0.135051i
\(176\) 7.91112 + 3.80979i 0.596323 + 0.287174i
\(177\) −2.68329 + 3.36474i −0.201688 + 0.252909i
\(178\) 4.24568 0.318227
\(179\) −17.5122 −1.30892 −0.654461 0.756095i \(-0.727105\pi\)
−0.654461 + 0.756095i \(0.727105\pi\)
\(180\) −1.33368 + 1.67238i −0.0994064 + 0.124652i
\(181\) 12.0244 5.79067i 0.893770 0.430417i 0.0701354 0.997537i \(-0.477657\pi\)
0.823635 + 0.567120i \(0.191943\pi\)
\(182\) 8.38965 + 10.5203i 0.621882 + 0.779815i
\(183\) 4.67681 2.25223i 0.345719 0.166490i
\(184\) 2.99079 13.1035i 0.220484 0.966004i
\(185\) 3.50401 4.39389i 0.257620 0.323045i
\(186\) 1.68836 7.39720i 0.123797 0.542389i
\(187\) −1.58866 0.765056i −0.116174 0.0559464i
\(188\) −5.88983 7.38561i −0.429560 0.538651i
\(189\) 6.98662 + 8.76094i 0.508202 + 0.637265i
\(190\) 6.88121 + 30.1485i 0.499215 + 2.18720i
\(191\) −9.42621 4.53942i −0.682057 0.328461i 0.0605726 0.998164i \(-0.480707\pi\)
−0.742629 + 0.669703i \(0.766422\pi\)
\(192\) 2.85851 1.37659i 0.206296 0.0993467i
\(193\) 1.94304 + 8.51302i 0.139863 + 0.612781i 0.995464 + 0.0951438i \(0.0303311\pi\)
−0.855600 + 0.517637i \(0.826812\pi\)
\(194\) 3.22291 + 14.1205i 0.231391 + 1.01379i
\(195\) 12.3853 5.96445i 0.886930 0.427123i
\(196\) 2.37677 + 1.14459i 0.169769 + 0.0817565i
\(197\) 0.770459 + 3.37560i 0.0548930 + 0.240502i 0.994930 0.100571i \(-0.0320669\pi\)
−0.940037 + 0.341073i \(0.889210\pi\)
\(198\) −1.90408 2.38765i −0.135317 0.169683i
\(199\) −15.6386 19.6102i −1.10859 1.39013i −0.912271 0.409588i \(-0.865673\pi\)
−0.196319 0.980540i \(-0.562899\pi\)
\(200\) 1.60934 + 0.775018i 0.113798 + 0.0548021i
\(201\) 1.38766 6.07975i 0.0978781 0.428832i
\(202\) 19.8022 24.8311i 1.39328 1.74711i
\(203\) 1.64197 7.19393i 0.115244 0.504915i
\(204\) 1.08616 0.523067i 0.0760464 0.0366220i
\(205\) 8.72668 + 10.9429i 0.609498 + 0.764286i
\(206\) −14.8414 + 7.14722i −1.03405 + 0.497971i
\(207\) −4.44622 + 5.57538i −0.309034 + 0.387516i
\(208\) −20.0090 −1.38737
\(209\) −13.2513 −0.916610
\(210\) −7.14344 + 8.95759i −0.492944 + 0.618132i
\(211\) 22.3073 + 10.7426i 1.53570 + 0.739554i 0.994830 0.101553i \(-0.0323810\pi\)
0.540869 + 0.841107i \(0.318095\pi\)
\(212\) 2.03828 + 8.93030i 0.139990 + 0.613336i
\(213\) 4.03354 17.6721i 0.276374 1.21087i
\(214\) 2.37713 0.162497
\(215\) −15.7350 2.68091i −1.07312 0.182837i
\(216\) −10.9227 −0.743197
\(217\) −1.40769 + 6.16750i −0.0955604 + 0.418677i
\(218\) 1.29436 + 5.67097i 0.0876653 + 0.384087i
\(219\) 0.194920 + 0.0938686i 0.0131715 + 0.00634305i
\(220\) 2.29532 2.87824i 0.154751 0.194051i
\(221\) 4.01806 0.270284
\(222\) −5.48575 −0.368179
\(223\) 7.91727 9.92794i 0.530179 0.664824i −0.442556 0.896741i \(-0.645928\pi\)
0.972736 + 0.231917i \(0.0744997\pi\)
\(224\) 8.13206 3.91619i 0.543346 0.261662i
\(225\) −0.590900 0.740966i −0.0393934 0.0493977i
\(226\) −20.5300 + 9.88672i −1.36563 + 0.657655i
\(227\) −6.24439 + 27.3584i −0.414455 + 1.81584i 0.147966 + 0.988992i \(0.452727\pi\)
−0.562420 + 0.826851i \(0.690130\pi\)
\(228\) 5.64873 7.08329i 0.374097 0.469102i
\(229\) 1.40750 6.16665i 0.0930100 0.407504i −0.906894 0.421359i \(-0.861553\pi\)
0.999904 + 0.0138553i \(0.00441042\pi\)
\(230\) −25.8048 12.4269i −1.70152 0.819408i
\(231\) −3.06106 3.83844i −0.201403 0.252551i
\(232\) 4.48452 + 5.62341i 0.294423 + 0.369195i
\(233\) −2.66768 11.6879i −0.174766 0.765699i −0.983994 0.178204i \(-0.942971\pi\)
0.809228 0.587495i \(-0.199886\pi\)
\(234\) 6.26994 + 3.01944i 0.409879 + 0.197387i
\(235\) 24.1534 11.6317i 1.57560 0.758768i
\(236\) −0.584418 2.56050i −0.0380423 0.166674i
\(237\) −2.93105 12.8418i −0.190392 0.834161i
\(238\) −3.01722 + 1.45302i −0.195578 + 0.0941852i
\(239\) 5.26416 + 2.53508i 0.340510 + 0.163981i 0.596321 0.802746i \(-0.296628\pi\)
−0.255812 + 0.966727i \(0.582343\pi\)
\(240\) −3.79105 16.6097i −0.244711 1.07215i
\(241\) −10.9410 13.7196i −0.704774 0.883759i 0.292596 0.956236i \(-0.405481\pi\)
−0.997370 + 0.0724774i \(0.976909\pi\)
\(242\) −8.31695 10.4291i −0.534634 0.670410i
\(243\) 9.11357 + 4.38886i 0.584636 + 0.281546i
\(244\) −0.704896 + 3.08835i −0.0451263 + 0.197711i
\(245\) −4.66770 + 5.85311i −0.298208 + 0.373941i
\(246\) 3.04012 13.3196i 0.193831 0.849228i
\(247\) 27.2060 13.1017i 1.73107 0.833642i
\(248\) −3.84467 4.82106i −0.244137 0.306138i
\(249\) 13.1049 6.31098i 0.830488 0.399942i
\(250\) −10.4546 + 13.1097i −0.661209 + 0.829130i
\(251\) −8.75421 −0.552561 −0.276281 0.961077i \(-0.589102\pi\)
−0.276281 + 0.961077i \(0.589102\pi\)
\(252\) −1.74086 −0.109664
\(253\) 7.65216 9.59551i 0.481087 0.603264i
\(254\) 17.1539 + 8.26087i 1.07633 + 0.518333i
\(255\) 0.761292 + 3.33544i 0.0476739 + 0.208873i
\(256\) −3.85863 + 16.9058i −0.241165 + 1.05661i
\(257\) 5.85086 0.364966 0.182483 0.983209i \(-0.441586\pi\)
0.182483 + 0.983209i \(0.441586\pi\)
\(258\) 7.53029 + 13.6398i 0.468815 + 0.849178i
\(259\) 4.57381 0.284203
\(260\) −1.86673 + 8.17869i −0.115770 + 0.507221i
\(261\) −0.849188 3.72054i −0.0525634 0.230295i
\(262\) −20.3869 9.81784i −1.25951 0.606548i
\(263\) −3.46089 + 4.33981i −0.213407 + 0.267604i −0.877001 0.480489i \(-0.840459\pi\)
0.663593 + 0.748094i \(0.269031\pi\)
\(264\) 4.78558 0.294532
\(265\) −25.9950 −1.59686
\(266\) −15.6915 + 19.6765i −0.962109 + 1.20645i
\(267\) 3.18040 1.53160i 0.194637 0.0937324i
\(268\) 2.37278 + 2.97537i 0.144940 + 0.181749i
\(269\) −1.36522 + 0.657456i −0.0832391 + 0.0400858i −0.475040 0.879964i \(-0.657566\pi\)
0.391801 + 0.920050i \(0.371852\pi\)
\(270\) −5.17937 + 22.6923i −0.315207 + 1.38101i
\(271\) 1.29742 1.62692i 0.0788130 0.0988283i −0.740862 0.671657i \(-0.765583\pi\)
0.819675 + 0.572829i \(0.194154\pi\)
\(272\) 1.10810 4.85491i 0.0671885 0.294372i
\(273\) 10.0797 + 4.85414i 0.610052 + 0.293786i
\(274\) 23.1892 + 29.0784i 1.40091 + 1.75669i
\(275\) 1.01697 + 1.27524i 0.0613255 + 0.0768998i
\(276\) 1.86719 + 8.18072i 0.112392 + 0.492421i
\(277\) −26.7840 12.8985i −1.60929 0.774994i −0.609451 0.792824i \(-0.708610\pi\)
−0.999841 + 0.0178294i \(0.994324\pi\)
\(278\) −19.6803 + 9.47753i −1.18035 + 0.568424i
\(279\) 0.728026 + 3.18969i 0.0435858 + 0.190962i
\(280\) 2.07197 + 9.07790i 0.123824 + 0.542509i
\(281\) −19.5028 + 9.39208i −1.16344 + 0.560284i −0.913045 0.407859i \(-0.866276\pi\)
−0.250397 + 0.968143i \(0.580561\pi\)
\(282\) −23.5765 11.3538i −1.40396 0.676111i
\(283\) −5.21158 22.8334i −0.309796 1.35731i −0.854837 0.518897i \(-0.826343\pi\)
0.545040 0.838410i \(-0.316514\pi\)
\(284\) 6.89699 + 8.64855i 0.409261 + 0.513197i
\(285\) 16.0305 + 20.1016i 0.949566 + 1.19072i
\(286\) −10.7909 5.19661i −0.638078 0.307282i
\(287\) −2.53474 + 11.1054i −0.149621 + 0.655531i
\(288\) 2.91044 3.64958i 0.171500 0.215054i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) 13.8093 6.65021i 0.810911 0.390514i
\(291\) 7.50811 + 9.41488i 0.440133 + 0.551910i
\(292\) −0.118952 + 0.0572842i −0.00696113 + 0.00335230i
\(293\) 6.36015 7.97537i 0.371564 0.465926i −0.560535 0.828131i \(-0.689404\pi\)
0.932099 + 0.362205i \(0.117976\pi\)
\(294\) 7.30757 0.426186
\(295\) 7.45330 0.433948
\(296\) −2.77972 + 3.48565i −0.161568 + 0.202600i
\(297\) −8.98628 4.32757i −0.521437 0.251111i
\(298\) −2.83863 12.4369i −0.164437 0.720448i
\(299\) −6.22332 + 27.2662i −0.359904 + 1.57684i
\(300\) −1.11517 −0.0643845
\(301\) −6.27847 11.3724i −0.361885 0.655492i
\(302\) −7.88195 −0.453555
\(303\) 5.87596 25.7442i 0.337565 1.47897i
\(304\) −8.32755 36.4854i −0.477618 2.09258i
\(305\) −8.09953 3.90053i −0.463778 0.223344i
\(306\) −1.07986 + 1.35410i −0.0617313 + 0.0774086i
\(307\) −10.6040 −0.605203 −0.302601 0.953117i \(-0.597855\pi\)
−0.302601 + 0.953117i \(0.597855\pi\)
\(308\) 2.99610 0.170719
\(309\) −8.53921 + 10.7078i −0.485779 + 0.609147i
\(310\) −11.8390 + 5.70136i −0.672410 + 0.323816i
\(311\) −0.818796 1.02674i −0.0464296 0.0582209i 0.758075 0.652168i \(-0.226140\pi\)
−0.804504 + 0.593947i \(0.797569\pi\)
\(312\) −9.82520 + 4.73157i −0.556242 + 0.267872i
\(313\) −2.96115 + 12.9736i −0.167374 + 0.733313i 0.819667 + 0.572841i \(0.194159\pi\)
−0.987040 + 0.160472i \(0.948698\pi\)
\(314\) 21.0299 26.3706i 1.18678 1.48818i
\(315\) 1.09934 4.81650i 0.0619405 0.271379i
\(316\) 7.24229 + 3.48770i 0.407411 + 0.196199i
\(317\) −0.622105 0.780095i −0.0349409 0.0438145i 0.764054 0.645152i \(-0.223206\pi\)
−0.798995 + 0.601338i \(0.794635\pi\)
\(318\) 15.8205 + 19.8382i 0.887167 + 1.11247i
\(319\) 1.46149 + 6.40323i 0.0818280 + 0.358512i
\(320\) −4.95052 2.38405i −0.276743 0.133272i
\(321\) 1.78068 0.857532i 0.0993880 0.0478627i
\(322\) −5.18685 22.7251i −0.289052 1.26642i
\(323\) 1.67228 + 7.32673i 0.0930481 + 0.407670i
\(324\) 3.76866 1.81489i 0.209370 0.100827i
\(325\) −3.34877 1.61268i −0.185756 0.0894554i
\(326\) 3.94626 + 17.2897i 0.218563 + 0.957587i
\(327\) 3.01536 + 3.78114i 0.166750 + 0.209097i
\(328\) −6.92283 8.68096i −0.382250 0.479326i
\(329\) 19.6572 + 9.46640i 1.08374 + 0.521899i
\(330\) 2.26924 9.94221i 0.124918 0.547301i
\(331\) 15.6409 19.6131i 0.859703 1.07803i −0.136471 0.990644i \(-0.543576\pi\)
0.996174 0.0873894i \(-0.0278524\pi\)
\(332\) −1.97519 + 8.65387i −0.108403 + 0.474943i
\(333\) 2.13121 1.02634i 0.116790 0.0562430i
\(334\) 6.46015 + 8.10077i 0.353483 + 0.443254i
\(335\) −9.73046 + 4.68594i −0.531632 + 0.256020i
\(336\) 8.64490 10.8404i 0.471618 0.591390i
\(337\) −8.68273 −0.472978 −0.236489 0.971634i \(-0.575997\pi\)
−0.236489 + 0.971634i \(0.575997\pi\)
\(338\) 5.31626 0.289166
\(339\) −11.8123 + 14.8121i −0.641553 + 0.804483i
\(340\) −1.88107 0.905874i −0.102015 0.0491279i
\(341\) −1.25297 5.48962i −0.0678521 0.297279i
\(342\) −2.89631 + 12.6896i −0.156615 + 0.686174i
\(343\) −19.9599 −1.07773
\(344\) 12.4825 + 2.12675i 0.673010 + 0.114667i
\(345\) −23.8131 −1.28205
\(346\) −2.50303 + 10.9665i −0.134564 + 0.589563i
\(347\) 0.153396 + 0.672070i 0.00823470 + 0.0360786i 0.978878 0.204444i \(-0.0655385\pi\)
−0.970644 + 0.240522i \(0.922681\pi\)
\(348\) −4.04576 1.94834i −0.216875 0.104442i
\(349\) 13.7106 17.1926i 0.733913 0.920297i −0.265122 0.964215i \(-0.585412\pi\)
0.999035 + 0.0439173i \(0.0139838\pi\)
\(350\) 3.09782 0.165585
\(351\) 22.7283 1.21315
\(352\) −5.00902 + 6.28111i −0.266982 + 0.334784i
\(353\) 19.8836 9.57542i 1.05830 0.509648i 0.177979 0.984034i \(-0.443044\pi\)
0.880317 + 0.474386i \(0.157330\pi\)
\(354\) −4.53605 5.68803i −0.241088 0.302315i
\(355\) −28.2837 + 13.6207i −1.50114 + 0.722912i
\(356\) −0.479355 + 2.10019i −0.0254058 + 0.111310i
\(357\) −1.73601 + 2.17688i −0.0918792 + 0.115213i
\(358\) 6.58752 28.8618i 0.348161 1.52539i
\(359\) −12.7985 6.16344i −0.675480 0.325294i 0.0645051 0.997917i \(-0.479453\pi\)
−0.739985 + 0.672623i \(0.765167\pi\)
\(360\) 3.00249 + 3.76500i 0.158245 + 0.198433i
\(361\) 23.3669 + 29.3011i 1.22984 + 1.54216i
\(362\) 5.02038 + 21.9957i 0.263865 + 1.15607i
\(363\) −9.99238 4.81208i −0.524464 0.252569i
\(364\) −6.15124 + 2.96228i −0.322413 + 0.155266i
\(365\) −0.0833736 0.365283i −0.00436397 0.0191198i
\(366\) 1.95263 + 8.55505i 0.102066 + 0.447180i
\(367\) −9.83716 + 4.73733i −0.513496 + 0.247286i −0.672641 0.739969i \(-0.734840\pi\)
0.159146 + 0.987255i \(0.449126\pi\)
\(368\) 31.2286 + 15.0389i 1.62790 + 0.783958i
\(369\) 1.31091 + 5.74346i 0.0682431 + 0.298992i
\(370\) 5.92347 + 7.42779i 0.307946 + 0.386153i
\(371\) −13.1905 16.5404i −0.684817 0.858733i
\(372\) 3.46851 + 1.67035i 0.179834 + 0.0866035i
\(373\) 0.760431 3.33166i 0.0393736 0.172507i −0.951418 0.307902i \(-0.900373\pi\)
0.990792 + 0.135395i \(0.0432303\pi\)
\(374\) 1.85849 2.33047i 0.0961001 0.120506i
\(375\) −3.10224 + 13.5918i −0.160199 + 0.701877i
\(376\) −19.1608 + 9.22736i −0.988143 + 0.475865i
\(377\) −9.33152 11.7014i −0.480598 0.602650i
\(378\) −17.0670 + 8.21905i −0.877833 + 0.422742i
\(379\) −3.92306 + 4.91936i −0.201514 + 0.252691i −0.872312 0.488949i \(-0.837380\pi\)
0.670798 + 0.741640i \(0.265952\pi\)
\(380\) −15.6903 −0.804898
\(381\) 15.8299 0.810988
\(382\) 11.0272 13.8277i 0.564203 0.707488i
\(383\) −20.4772 9.86131i −1.04634 0.503889i −0.169928 0.985457i \(-0.554353\pi\)
−0.876409 + 0.481567i \(0.840068\pi\)
\(384\) 4.04343 + 17.7154i 0.206341 + 0.904037i
\(385\) −1.89201 + 8.28944i −0.0964258 + 0.422469i
\(386\) −14.7612 −0.751325
\(387\) −5.47741 3.89021i −0.278433 0.197751i
\(388\) −7.34879 −0.373078
\(389\) −0.253824 + 1.11208i −0.0128694 + 0.0563845i −0.980955 0.194236i \(-0.937777\pi\)
0.968086 + 0.250620i \(0.0806345\pi\)
\(390\) 5.17104 + 22.6558i 0.261846 + 1.14722i
\(391\) −6.27111 3.02001i −0.317144 0.152728i
\(392\) 3.70286 4.64324i 0.187023 0.234519i
\(393\) −18.8134 −0.949009
\(394\) −5.85314 −0.294877
\(395\) −14.2230 + 17.8351i −0.715638 + 0.897382i
\(396\) 1.39606 0.672309i 0.0701549 0.0337848i
\(397\) 7.37280 + 9.24520i 0.370030 + 0.464003i 0.931631 0.363405i \(-0.118386\pi\)
−0.561601 + 0.827408i \(0.689814\pi\)
\(398\) 38.2022 18.3972i 1.91490 0.922169i
\(399\) −4.65619 + 20.4001i −0.233101 + 1.02128i
\(400\) −2.87208 + 3.60147i −0.143604 + 0.180073i
\(401\) −7.23314 + 31.6905i −0.361206 + 1.58255i 0.388933 + 0.921266i \(0.372844\pi\)
−0.750139 + 0.661280i \(0.770014\pi\)
\(402\) 9.49802 + 4.57401i 0.473718 + 0.228131i
\(403\) 8.00010 + 10.0318i 0.398513 + 0.499720i
\(404\) 10.0473 + 12.5990i 0.499874 + 0.626822i
\(405\) 2.64146 + 11.5730i 0.131255 + 0.575067i
\(406\) 11.2386 + 5.41225i 0.557765 + 0.268605i
\(407\) −3.66793 + 1.76638i −0.181812 + 0.0875562i
\(408\) −0.603929 2.64599i −0.0298989 0.130996i
\(409\) 0.546281 + 2.39341i 0.0270118 + 0.118347i 0.986636 0.162937i \(-0.0520969\pi\)
−0.959625 + 0.281284i \(0.909240\pi\)
\(410\) −21.3177 + 10.2661i −1.05281 + 0.507004i
\(411\) 27.8607 + 13.4170i 1.37426 + 0.661811i
\(412\) −1.85983 8.14845i −0.0916273 0.401446i
\(413\) 3.78199 + 4.74246i 0.186099 + 0.233361i
\(414\) −7.51625 9.42508i −0.369404 0.463217i
\(415\) −22.6957 10.9297i −1.11409 0.536517i
\(416\) 4.07372 17.8481i 0.199730 0.875076i
\(417\) −11.3234 + 14.1990i −0.554507 + 0.695330i
\(418\) 4.98470 21.8394i 0.243810 1.06820i
\(419\) 17.3143 8.33811i 0.845857 0.407343i 0.0398188 0.999207i \(-0.487322\pi\)
0.806038 + 0.591864i \(0.201608\pi\)
\(420\) −3.62448 4.54496i −0.176857 0.221771i
\(421\) −25.6770 + 12.3654i −1.25142 + 0.602652i −0.937892 0.346927i \(-0.887225\pi\)
−0.313528 + 0.949579i \(0.601511\pi\)
\(422\) −26.0962 + 32.7236i −1.27034 + 1.59296i
\(423\) 11.2837 0.548631
\(424\) 20.6217 1.00148
\(425\) 0.576750 0.723222i 0.0279765 0.0350814i
\(426\) 27.6081 + 13.2953i 1.33761 + 0.644161i
\(427\) −1.62803 7.13288i −0.0787860 0.345184i
\(428\) −0.268387 + 1.17588i −0.0129730 + 0.0568384i
\(429\) −9.95798 −0.480776
\(430\) 10.3374 24.9243i 0.498513 1.20196i
\(431\) −24.0447 −1.15819 −0.579095 0.815260i \(-0.696594\pi\)
−0.579095 + 0.815260i \(0.696594\pi\)
\(432\) 6.26801 27.4619i 0.301570 1.32126i
\(433\) 6.82689 + 29.9106i 0.328080 + 1.43741i 0.822786 + 0.568351i \(0.192418\pi\)
−0.494707 + 0.869060i \(0.664725\pi\)
\(434\) −9.63512 4.64003i −0.462501 0.222729i
\(435\) 7.94540 9.96322i 0.380953 0.477700i
\(436\) −2.95137 −0.141345
\(437\) −52.3086 −2.50226
\(438\) −0.228027 + 0.285937i −0.0108956 + 0.0136626i
\(439\) 29.7991 14.3505i 1.42223 0.684912i 0.444698 0.895681i \(-0.353311\pi\)
0.977536 + 0.210769i \(0.0675968\pi\)
\(440\) −5.16743 6.47976i −0.246348 0.308910i
\(441\) −2.83899 + 1.36719i −0.135190 + 0.0651041i
\(442\) −1.51146 + 6.62216i −0.0718930 + 0.314984i
\(443\) 11.7401 14.7216i 0.557789 0.699446i −0.420358 0.907358i \(-0.638096\pi\)
0.978147 + 0.207913i \(0.0666670\pi\)
\(444\) 0.619363 2.71361i 0.0293937 0.128782i
\(445\) −5.50798 2.65250i −0.261103 0.125741i
\(446\) 13.3840 + 16.7830i 0.633750 + 0.794698i
\(447\) −6.61290 8.29231i −0.312779 0.392213i
\(448\) −0.995071 4.35969i −0.0470127 0.205976i
\(449\) −34.3307 16.5328i −1.62017 0.780231i −0.620174 0.784464i \(-0.712938\pi\)
−0.999991 + 0.00423330i \(0.998652\pi\)
\(450\) 1.44346 0.695134i 0.0680454 0.0327689i
\(451\) −2.25614 9.88477i −0.106237 0.465456i
\(452\) −2.57270 11.2717i −0.121009 0.530177i
\(453\) −5.90429 + 2.84336i −0.277408 + 0.133592i
\(454\) −42.7405 20.5827i −2.00591 0.965995i
\(455\) −4.31142 18.8896i −0.202122 0.885556i
\(456\) −12.7169 15.9465i −0.595525 0.746764i
\(457\) −18.3942 23.0656i −0.860446 1.07896i −0.996102 0.0882087i \(-0.971886\pi\)
0.135656 0.990756i \(-0.456686\pi\)
\(458\) 9.63378 + 4.63939i 0.450157 + 0.216784i
\(459\) −1.25870 + 5.51471i −0.0587510 + 0.257405i
\(460\) 9.06064 11.3617i 0.422455 0.529741i
\(461\) −5.35623 + 23.4672i −0.249464 + 1.09297i 0.682631 + 0.730763i \(0.260835\pi\)
−0.932096 + 0.362212i \(0.882022\pi\)
\(462\) 7.47760 3.60102i 0.347889 0.167535i
\(463\) −11.0895 13.9058i −0.515374 0.646258i 0.454246 0.890876i \(-0.349909\pi\)
−0.969619 + 0.244618i \(0.921337\pi\)
\(464\) −16.7118 + 8.04800i −0.775828 + 0.373619i
\(465\) −6.81176 + 8.54167i −0.315888 + 0.396111i
\(466\) 20.2663 0.938816
\(467\) 22.7225 1.05147 0.525736 0.850648i \(-0.323790\pi\)
0.525736 + 0.850648i \(0.323790\pi\)
\(468\) −2.20152 + 2.76061i −0.101765 + 0.127609i
\(469\) −7.91909 3.81363i −0.365670 0.176097i
\(470\) 10.0844 + 44.1827i 0.465159 + 2.03800i
\(471\) 6.24025 27.3403i 0.287536 1.25978i
\(472\) −5.91267 −0.272153
\(473\) 9.42690 + 6.69525i 0.433449 + 0.307848i
\(474\) 22.2670 1.02276
\(475\) 1.54692 6.77749i 0.0709774 0.310972i
\(476\) −0.378101 1.65657i −0.0173302 0.0759286i
\(477\) −9.85782 4.74728i −0.451359 0.217363i
\(478\) −6.15827 + 7.72222i −0.281673 + 0.353206i
\(479\) −1.41498 −0.0646519 −0.0323260 0.999477i \(-0.510291\pi\)
−0.0323260 + 0.999477i \(0.510291\pi\)
\(480\) 15.5878 0.711481
\(481\) 5.78411 7.25305i 0.263733 0.330711i
\(482\) 26.7269 12.8710i 1.21738 0.586259i
\(483\) −12.0833 15.1520i −0.549810 0.689440i
\(484\) 6.09794 2.93662i 0.277179 0.133483i
\(485\) 4.64070 20.3322i 0.210723 0.923238i
\(486\) −10.6615 + 13.3691i −0.483616 + 0.606435i
\(487\) −0.240045 + 1.05171i −0.0108775 + 0.0476574i −0.980075 0.198626i \(-0.936352\pi\)
0.969198 + 0.246283i \(0.0792093\pi\)
\(488\) 6.42532 + 3.09427i 0.290861 + 0.140071i
\(489\) 9.19323 + 11.5279i 0.415732 + 0.521312i
\(490\) −7.89066 9.89457i −0.356464 0.446991i
\(491\) 7.95879 + 34.8697i 0.359175 + 1.57365i 0.755254 + 0.655432i \(0.227514\pi\)
−0.396079 + 0.918217i \(0.629629\pi\)
\(492\) 6.24551 + 3.00768i 0.281569 + 0.135597i
\(493\) 3.35596 1.61614i 0.151145 0.0727874i
\(494\) 11.3589 + 49.7665i 0.511060 + 2.23910i
\(495\) 0.978504 + 4.28711i 0.0439805 + 0.192691i
\(496\) 14.3274 6.89972i 0.643320 0.309806i
\(497\) −23.0186 11.0852i −1.03252 0.497237i
\(498\) 5.47148 + 23.9721i 0.245183 + 1.07422i
\(499\) 2.72933 + 3.42247i 0.122182 + 0.153211i 0.839160 0.543884i \(-0.183047\pi\)
−0.716979 + 0.697095i \(0.754476\pi\)
\(500\) −5.30454 6.65168i −0.237226 0.297472i
\(501\) 7.76153 + 3.73775i 0.346759 + 0.166991i
\(502\) 3.29305 14.4278i 0.146976 0.643944i
\(503\) −21.4459 + 26.8923i −0.956226 + 1.19907i 0.0237024 + 0.999719i \(0.492455\pi\)
−0.979928 + 0.199350i \(0.936117\pi\)
\(504\) −0.872097 + 3.82091i −0.0388463 + 0.170197i
\(505\) −41.2029 + 19.8423i −1.83351 + 0.882970i
\(506\) 12.9358 + 16.2210i 0.575068 + 0.721113i
\(507\) 3.98236 1.91780i 0.176863 0.0851726i
\(508\) −6.02311 + 7.55274i −0.267232 + 0.335099i
\(509\) 29.0614 1.28812 0.644061 0.764974i \(-0.277248\pi\)
0.644061 + 0.764974i \(0.277248\pi\)
\(510\) −5.78350 −0.256098
\(511\) 0.190120 0.238403i 0.00841043 0.0105463i
\(512\) −3.11471 1.49997i −0.137652 0.0662898i
\(513\) 9.45930 + 41.4439i 0.417638 + 1.82979i
\(514\) −2.20090 + 9.64278i −0.0970776 + 0.425325i
\(515\) 23.7191 1.04519
\(516\) −7.59734 + 2.18498i −0.334454 + 0.0961883i
\(517\) −19.4198 −0.854080
\(518\) −1.72052 + 7.53809i −0.0755953 + 0.331204i
\(519\) 2.08109 + 9.11786i 0.0913498 + 0.400230i
\(520\) 17.0158 + 8.19437i 0.746192 + 0.359347i
\(521\) 22.7646 28.5459i 0.997336 1.25062i 0.0293617 0.999569i \(-0.490653\pi\)
0.967974 0.251051i \(-0.0807760\pi\)
\(522\) 6.45124 0.282363
\(523\) 39.3644 1.72128 0.860641 0.509211i \(-0.170063\pi\)
0.860641 + 0.509211i \(0.170063\pi\)
\(524\) 7.15831 8.97624i 0.312712 0.392129i
\(525\) 2.32055 1.11752i 0.101277 0.0487724i
\(526\) −5.85056 7.33637i −0.255097 0.319881i
\(527\) −2.87713 + 1.38555i −0.125330 + 0.0603556i
\(528\) −2.74621 + 12.0319i −0.119513 + 0.523623i
\(529\) 15.8661 19.8955i 0.689832 0.865022i
\(530\) 9.77848 42.8423i 0.424750 1.86095i
\(531\) 2.82644 + 1.36114i 0.122657 + 0.0590685i
\(532\) −7.96166 9.98361i −0.345182 0.432844i
\(533\) 14.4052 + 18.0636i 0.623960 + 0.782421i
\(534\) 1.32786 + 5.81775i 0.0574622 + 0.251759i
\(535\) −3.08388 1.48512i −0.133328 0.0642072i
\(536\) 7.71913 3.71734i 0.333416 0.160564i
\(537\) −5.47704 23.9965i −0.236352 1.03553i
\(538\) −0.570000 2.49733i −0.0245744 0.107668i
\(539\) 4.88605 2.35300i 0.210457 0.101351i
\(540\) −10.6403 5.12411i −0.457887 0.220507i
\(541\) 5.97757 + 26.1894i 0.256996 + 1.12597i 0.924445 + 0.381316i \(0.124529\pi\)
−0.667449 + 0.744655i \(0.732614\pi\)
\(542\) 2.19327 + 2.75028i 0.0942091 + 0.118135i
\(543\) 11.6955 + 14.6657i 0.501903 + 0.629366i
\(544\) 4.10500 + 1.97686i 0.176000 + 0.0847573i
\(545\) 1.86376 8.16568i 0.0798349 0.349780i
\(546\) −11.7918 + 14.7864i −0.504641 + 0.632799i
\(547\) 3.39950 14.8942i 0.145352 0.636829i −0.848788 0.528733i \(-0.822667\pi\)
0.994140 0.108096i \(-0.0344754\pi\)
\(548\) −17.0022 + 8.18784i −0.726299 + 0.349767i
\(549\) −2.35918 2.95832i −0.100687 0.126258i
\(550\) −2.48427 + 1.19636i −0.105930 + 0.0510130i
\(551\) 17.4531 21.8855i 0.743529 0.932356i
\(552\) 18.8908 0.804045
\(553\) −18.5654 −0.789481
\(554\) 31.3332 39.2906i 1.33122 1.66930i
\(555\) 7.11674 + 3.42724i 0.302089 + 0.145478i
\(556\) −2.46622 10.8052i −0.104591 0.458243i
\(557\) 8.53985 37.4155i 0.361845 1.58535i −0.386662 0.922221i \(-0.626372\pi\)
0.748508 0.663126i \(-0.230771\pi\)
\(558\) −5.53078 −0.234137
\(559\) −25.9739 4.42541i −1.09858 0.187175i
\(560\) −24.0127 −1.01472
\(561\) 0.551475 2.41617i 0.0232833 0.102011i
\(562\) −8.14272 35.6756i −0.343480 1.50488i
\(563\) 17.4699 + 8.41306i 0.736268 + 0.354568i 0.764146 0.645043i \(-0.223161\pi\)
−0.0278778 + 0.999611i \(0.508875\pi\)
\(564\) 8.27822 10.3806i 0.348576 0.437101i
\(565\) 32.8106 1.38035
\(566\) 39.5922 1.66418
\(567\) −6.02345 + 7.55316i −0.252961 + 0.317203i
\(568\) 22.4373 10.8052i 0.941449 0.453378i
\(569\) 8.97642 + 11.2561i 0.376311 + 0.471879i 0.933537 0.358482i \(-0.116706\pi\)
−0.557225 + 0.830361i \(0.688134\pi\)
\(570\) −39.1596 + 18.8583i −1.64022 + 0.789886i
\(571\) −10.1288 + 44.3773i −0.423879 + 1.85713i 0.0851266 + 0.996370i \(0.472871\pi\)
−0.509005 + 0.860763i \(0.669987\pi\)
\(572\) 3.78892 4.75115i 0.158423 0.198656i
\(573\) 3.27215 14.3362i 0.136696 0.598904i
\(574\) −17.3493 8.35498i −0.724146 0.348730i
\(575\) 4.01442 + 5.03392i 0.167413 + 0.209929i
\(576\) −1.44196 1.80815i −0.0600815 0.0753398i
\(577\) 4.87541 + 21.3606i 0.202966 + 0.889252i 0.969119 + 0.246594i \(0.0793113\pi\)
−0.766153 + 0.642658i \(0.777832\pi\)
\(578\) −1.52307 0.733472i −0.0633514 0.0305084i
\(579\) −11.0575 + 5.32500i −0.459533 + 0.221299i
\(580\) 1.73050 + 7.58182i 0.0718552 + 0.314818i
\(581\) −4.56191 19.9870i −0.189260 0.829202i
\(582\) −18.3409 + 8.83253i −0.760256 + 0.366120i
\(583\) 16.9658 + 8.17030i 0.702651 + 0.338379i
\(584\) 0.0661398 + 0.289778i 0.00273689 + 0.0119911i
\(585\) −6.24767 7.83433i −0.258309 0.323910i
\(586\) 10.7517 + 13.4822i 0.444149 + 0.556945i
\(587\) −22.5866 10.8771i −0.932249 0.448947i −0.0948202 0.995494i \(-0.530228\pi\)
−0.837428 + 0.546547i \(0.815942\pi\)
\(588\) −0.825055 + 3.61480i −0.0340247 + 0.149072i
\(589\) −14.9629 + 18.7629i −0.616537 + 0.773113i
\(590\) −2.80369 + 12.2838i −0.115426 + 0.505715i
\(591\) −4.38453 + 2.11148i −0.180356 + 0.0868547i
\(592\) −7.16850 8.98902i −0.294624 0.369446i
\(593\) 1.59318 0.767233i 0.0654239 0.0315065i −0.400886 0.916128i \(-0.631298\pi\)
0.466310 + 0.884622i \(0.345583\pi\)
\(594\) 10.5126 13.1824i 0.431337 0.540880i
\(595\) 4.82206 0.197685
\(596\) 6.47257 0.265127
\(597\) 21.9802 27.5623i 0.899591 1.12805i
\(598\) −42.5963 20.5133i −1.74189 0.838851i
\(599\) −10.3889 45.5168i −0.424479 1.85977i −0.505160 0.863025i \(-0.668567\pi\)
0.0806811 0.996740i \(-0.474290\pi\)
\(600\) −0.558656 + 2.44763i −0.0228070 + 0.0999241i
\(601\) −11.5346 −0.470508 −0.235254 0.971934i \(-0.575592\pi\)
−0.235254 + 0.971934i \(0.575592\pi\)
\(602\) 21.1045 6.06961i 0.860156 0.247379i
\(603\) −4.54574 −0.185117
\(604\) 0.889904 3.89892i 0.0362097 0.158645i
\(605\) 4.27406 + 18.7259i 0.173765 + 0.761316i
\(606\) 40.2187 + 19.3683i 1.63377 + 0.786783i
\(607\) 6.71068 8.41492i 0.272378 0.341551i −0.626763 0.779210i \(-0.715621\pi\)
0.899141 + 0.437659i \(0.144192\pi\)
\(608\) 34.2406 1.38864
\(609\) 10.3712 0.420262
\(610\) 9.47524 11.8816i 0.383641 0.481071i
\(611\) 39.8704 19.2006i 1.61298 0.776772i
\(612\) −0.547905 0.687051i −0.0221477 0.0277724i
\(613\) −9.71152 + 4.67682i −0.392245 + 0.188895i −0.619602 0.784916i \(-0.712706\pi\)
0.227357 + 0.973811i \(0.426992\pi\)
\(614\) 3.98888 17.4764i 0.160978 0.705292i
\(615\) −12.2655 + 15.3804i −0.494591 + 0.620198i
\(616\) 1.50092 6.57597i 0.0604739 0.264953i
\(617\) −24.4175 11.7588i −0.983011 0.473393i −0.127871 0.991791i \(-0.540814\pi\)
−0.855140 + 0.518398i \(0.826529\pi\)
\(618\) −14.4354 18.1014i −0.580676 0.728145i
\(619\) 20.2193 + 25.3542i 0.812681 + 1.01907i 0.999328 + 0.0366432i \(0.0116665\pi\)
−0.186647 + 0.982427i \(0.559762\pi\)
\(620\) −1.48359 6.50005i −0.0595826 0.261048i
\(621\) −35.4728 17.0828i −1.42347 0.685508i
\(622\) 2.00017 0.963230i 0.0801994 0.0386220i
\(623\) −1.10712 4.85062i −0.0443559 0.194336i
\(624\) −6.25793 27.4178i −0.250518 1.09759i
\(625\) 25.9204 12.4826i 1.03682 0.499304i
\(626\) −20.2679 9.76052i −0.810069 0.390109i
\(627\) −4.14442 18.1579i −0.165512 0.725156i
\(628\) 10.6703 + 13.3801i 0.425790 + 0.533924i
\(629\) 1.43953 + 1.80511i 0.0573978 + 0.0719745i
\(630\) 7.52453 + 3.62362i 0.299785 + 0.144369i
\(631\) 7.48220 32.7817i 0.297862 1.30502i −0.575442 0.817842i \(-0.695170\pi\)
0.873304 0.487175i \(-0.161973\pi\)
\(632\) 11.2831 14.1485i 0.448816 0.562797i
\(633\) −7.74361 + 33.9270i −0.307781 + 1.34848i
\(634\) 1.51969 0.731844i 0.0603546 0.0290652i
\(635\) −17.0929 21.4339i −0.678313 0.850577i
\(636\) −11.5995 + 5.58601i −0.459949 + 0.221500i
\(637\) −7.70502 + 9.66179i −0.305284 + 0.382814i
\(638\) −11.1029 −0.439568
\(639\) −13.2132 −0.522705
\(640\) 19.6209 24.6039i 0.775585 0.972553i
\(641\) 13.6036 + 6.55116i 0.537311 + 0.258755i 0.682801 0.730604i \(-0.260762\pi\)
−0.145490 + 0.989360i \(0.546476\pi\)
\(642\) 0.743461 + 3.25731i 0.0293421 + 0.128556i
\(643\) −3.33943 + 14.6310i −0.131694 + 0.576990i 0.865418 + 0.501050i \(0.167053\pi\)
−0.997112 + 0.0759397i \(0.975804\pi\)
\(644\) 11.8269 0.466046
\(645\) −1.24762 22.3997i −0.0491251 0.881987i
\(646\) −12.7042 −0.499841
\(647\) 2.55133 11.1781i 0.100303 0.439457i −0.899693 0.436524i \(-0.856209\pi\)
0.999996 0.00293259i \(-0.000933475\pi\)
\(648\) −2.09546 9.18081i −0.0823175 0.360656i
\(649\) −4.86444 2.34259i −0.190946 0.0919548i
\(650\) 3.91755 4.91245i 0.153659 0.192682i
\(651\) −8.89143 −0.348483
\(652\) −8.99815 −0.352395
\(653\) −14.0886 + 17.6666i −0.551330 + 0.691346i −0.976929 0.213566i \(-0.931492\pi\)
0.425598 + 0.904912i \(0.360064\pi\)
\(654\) −7.36596 + 3.54726i −0.288032 + 0.138709i
\(655\) 20.3145 + 25.4736i 0.793754 + 0.995337i
\(656\) 25.7984 12.4238i 1.00726 0.485070i
\(657\) 0.0350921 0.153749i 0.00136907 0.00599830i
\(658\) −22.9959 + 28.8360i −0.896475 + 1.12414i
\(659\) 2.16226 9.47347i 0.0842296 0.369034i −0.915193 0.403016i \(-0.867962\pi\)
0.999422 + 0.0339822i \(0.0108189\pi\)
\(660\) 4.66186 + 2.24503i 0.181463 + 0.0873878i
\(661\) −3.41500 4.28228i −0.132828 0.166561i 0.710969 0.703223i \(-0.248256\pi\)
−0.843797 + 0.536662i \(0.819685\pi\)
\(662\) 26.4407 + 33.1556i 1.02765 + 1.28863i
\(663\) 1.25667 + 5.50584i 0.0488051 + 0.213829i
\(664\) 18.0044 + 8.67046i 0.698706 + 0.336479i
\(665\) 32.6498 15.7233i 1.26610 0.609724i
\(666\) 0.889813 + 3.89852i 0.0344795 + 0.151065i
\(667\) 5.76915 + 25.2763i 0.223383 + 0.978703i
\(668\) −4.73654 + 2.28100i −0.183262 + 0.0882545i
\(669\) 16.0802 + 7.74380i 0.621695 + 0.299393i
\(670\) −4.06261 17.7994i −0.156952 0.687653i
\(671\) 4.06026 + 5.09141i 0.156745 + 0.196552i
\(672\) 7.90961 + 9.91833i 0.305120 + 0.382608i
\(673\) −6.45335 3.10777i −0.248758 0.119796i 0.305350 0.952240i \(-0.401226\pi\)
−0.554109 + 0.832444i \(0.686941\pi\)
\(674\) 3.26616 14.3100i 0.125808 0.551200i
\(675\) 3.26241 4.09093i 0.125570 0.157460i
\(676\) −0.600228 + 2.62977i −0.0230857 + 0.101145i
\(677\) 7.25520 3.49392i 0.278840 0.134282i −0.289237 0.957257i \(-0.593402\pi\)
0.568077 + 0.822975i \(0.307687\pi\)
\(678\) −19.9684 25.0396i −0.766881 0.961639i
\(679\) 15.2920 7.36423i 0.586853 0.282613i
\(680\) −2.93059 + 3.67484i −0.112383 + 0.140924i
\(681\) −39.4415 −1.51140
\(682\) 9.51875 0.364492
\(683\) 26.6788 33.4542i 1.02084 1.28009i 0.0614148 0.998112i \(-0.480439\pi\)
0.959421 0.281976i \(-0.0909898\pi\)
\(684\) −5.95009 2.86541i −0.227507 0.109562i
\(685\) −11.9169 52.2113i −0.455321 1.99489i
\(686\) 7.50825 32.8958i 0.286666 1.25597i
\(687\) 8.89020 0.339182
\(688\) −12.5102 + 30.1630i −0.476946 + 1.14996i
\(689\) −42.9103 −1.63475
\(690\) 8.95770 39.2462i 0.341014 1.49408i
\(691\) −5.20344 22.7978i −0.197948 0.867268i −0.972156 0.234336i \(-0.924708\pi\)
0.774207 0.632932i \(-0.218149\pi\)
\(692\) −5.14215 2.47633i −0.195475 0.0941359i
\(693\) −2.23133 + 2.79800i −0.0847611 + 0.106287i
\(694\) −1.16534 −0.0442357
\(695\) 31.4526 1.19307
\(696\) −6.30305 + 7.90377i −0.238916 + 0.299592i
\(697\) −5.18065 + 2.49487i −0.196231 + 0.0944999i
\(698\) 23.1775 + 29.0637i 0.877283 + 1.10008i
\(699\) 15.1813 7.31091i 0.574208 0.276524i
\(700\) −0.349756 + 1.53238i −0.0132196 + 0.0579186i
\(701\) 4.55008 5.70562i 0.171854 0.215498i −0.688444 0.725289i \(-0.741706\pi\)
0.860298 + 0.509791i \(0.170277\pi\)
\(702\) −8.54965 + 37.4585i −0.322686 + 1.41378i
\(703\) 15.6329 + 7.52839i 0.589605 + 0.283939i
\(704\) 2.48168 + 3.11192i 0.0935317 + 0.117285i
\(705\) 23.4927 + 29.4589i 0.884787 + 1.10949i
\(706\) 8.30168 + 36.3720i 0.312438 + 1.36888i
\(707\) −33.5328 16.1486i −1.26113 0.607329i
\(708\) 3.32581 1.60162i 0.124991 0.0601927i
\(709\) 10.0505 + 44.0343i 0.377456 + 1.65374i 0.705223 + 0.708985i \(0.250847\pi\)
−0.327767 + 0.944759i \(0.606296\pi\)
\(710\) −11.8089 51.7380i −0.443178 1.94169i
\(711\) −8.65074 + 4.16598i −0.324428 + 0.156236i
\(712\) 4.36946 + 2.10422i 0.163752 + 0.0788589i
\(713\) −4.94601 21.6699i −0.185230 0.811544i
\(714\) −2.93469 3.67998i −0.109828 0.137720i
\(715\) 10.7525 + 13.4833i 0.402122 + 0.504246i
\(716\) 13.5332 + 6.51723i 0.505758 + 0.243560i
\(717\) −1.82736 + 8.00619i −0.0682441 + 0.298997i
\(718\) 14.9723 18.7747i 0.558763 0.700666i
\(719\) −4.94090 + 21.6475i −0.184264 + 0.807315i 0.795305 + 0.606209i \(0.207311\pi\)
−0.979570 + 0.201106i \(0.935546\pi\)
\(720\) −11.1890 + 5.38832i −0.416988 + 0.200811i
\(721\) 12.0357 + 15.0923i 0.448232 + 0.562065i
\(722\) −57.0810 + 27.4887i −2.12433 + 1.02303i
\(723\) 15.3778 19.2831i 0.571905 0.717146i
\(724\) −11.4473 −0.425437
\(725\) −3.44560 −0.127966
\(726\) 11.6896 14.6583i 0.433841 0.544020i
\(727\) 1.19370 + 0.574855i 0.0442719 + 0.0213202i 0.455889 0.890037i \(-0.349322\pi\)
−0.411617 + 0.911357i \(0.635036\pi\)
\(728\) 3.42023 + 14.9850i 0.126762 + 0.555381i
\(729\) −6.41914 + 28.1241i −0.237746 + 1.04163i
\(730\) 0.633385 0.0234426
\(731\) 2.51220 6.05713i 0.0929172 0.224031i
\(732\) −4.45234 −0.164563
\(733\) −8.81500 + 38.6211i −0.325590 + 1.42650i 0.501854 + 0.864952i \(0.332651\pi\)
−0.827444 + 0.561549i \(0.810206\pi\)
\(734\) −4.10716 17.9946i −0.151598 0.664194i
\(735\) −9.48021 4.56543i −0.349683 0.168398i
\(736\) −19.7728 + 24.7943i −0.728834 + 0.913929i
\(737\) 7.82345 0.288180
\(738\) −9.95890 −0.366592
\(739\) −26.1283 + 32.7638i −0.961145 + 1.20524i 0.0175355 + 0.999846i \(0.494418\pi\)
−0.978680 + 0.205391i \(0.934153\pi\)
\(740\) −4.34305 + 2.09150i −0.159654 + 0.0768852i
\(741\) 26.4618 + 33.1820i 0.972097 + 1.21897i
\(742\) 32.2220 15.5173i 1.18291 0.569657i
\(743\) 2.27032 9.94691i 0.0832899 0.364917i −0.916057 0.401048i \(-0.868646\pi\)
0.999347 + 0.0361309i \(0.0115033\pi\)
\(744\) 5.40373 6.77607i 0.198110 0.248423i
\(745\) −4.08737 + 17.9079i −0.149750 + 0.656096i
\(746\) 5.20486 + 2.50653i 0.190563 + 0.0917705i
\(747\) −6.61066 8.28950i −0.241871 0.303297i
\(748\) 0.942971 + 1.18245i 0.0344784 + 0.0432346i
\(749\) −0.619869 2.71583i −0.0226495 0.0992341i
\(750\) −21.2336 10.2256i −0.775342 0.373385i
\(751\) −39.4054 + 18.9767i −1.43792 + 0.692468i −0.980453 0.196756i \(-0.936959\pi\)
−0.457472 + 0.889224i \(0.651245\pi\)
\(752\) −12.2040 53.4693i −0.445035 1.94983i
\(753\) −2.73793 11.9957i −0.0997758 0.437146i
\(754\) 22.7952 10.9776i 0.830152 0.399780i
\(755\) 10.2254 + 4.92427i 0.372139 + 0.179213i
\(756\) −2.13874 9.37043i −0.0777852 0.340799i
\(757\) 11.6437 + 14.6007i 0.423197 + 0.530672i 0.947028 0.321150i \(-0.104069\pi\)
−0.523832 + 0.851822i \(0.675498\pi\)
\(758\) −6.63186 8.31609i