Properties

Label 588.2.x.b.55.11
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.11
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.b.139.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.446111 + 1.34201i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.60197 - 1.19737i) q^{4} +(-0.0202251 + 0.0419978i) q^{5} +(-0.984208 + 1.01555i) q^{6} +(-2.50508 + 0.851222i) q^{7} +(2.32154 - 1.61569i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-0.446111 + 1.34201i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.60197 - 1.19737i) q^{4} +(-0.0202251 + 0.0419978i) q^{5} +(-0.984208 + 1.01555i) q^{6} +(-2.50508 + 0.851222i) q^{7} +(2.32154 - 1.61569i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.0473388 - 0.0458779i) q^{10} +(-4.22358 - 3.36820i) q^{11} +(-0.923805 - 1.77386i) q^{12} +(-4.09819 - 3.26819i) q^{13} +(-0.0248016 - 3.74158i) q^{14} +(-0.0364443 + 0.0290634i) q^{15} +(1.13261 + 3.83630i) q^{16} +(-1.81779 - 0.414899i) q^{17} +(-1.32737 + 0.487944i) q^{18} +3.64310 q^{19} +(0.0826869 - 0.0430623i) q^{20} +(-2.62633 - 0.319989i) q^{21} +(6.40434 - 4.16549i) q^{22} +(-7.77277 + 1.77408i) q^{23} +(2.79266 - 0.448414i) q^{24} +(3.11609 + 3.90746i) q^{25} +(6.21419 - 4.04182i) q^{26} +(0.222521 + 0.974928i) q^{27} +(5.03229 + 1.63588i) q^{28} +(0.460848 - 2.01911i) q^{29} +(-0.0227451 - 0.0618741i) q^{30} -6.23384 q^{31} +(-5.65361 - 0.191445i) q^{32} +(-2.34391 - 4.86719i) q^{33} +(1.36773 - 2.25440i) q^{34} +(0.0149160 - 0.122424i) q^{35} +(-0.0626700 - 1.99902i) q^{36} +(1.79149 - 7.84902i) q^{37} +(-1.62523 + 4.88907i) q^{38} +(-2.27432 - 4.72268i) q^{39} +(0.0209024 + 0.130177i) q^{40} +(-1.75191 + 3.63789i) q^{41} +(1.60106 - 3.38180i) q^{42} +(-2.31404 - 4.80515i) q^{43} +(2.73308 + 10.4529i) q^{44} +(-0.0454453 + 0.0103726i) q^{45} +(1.08669 - 11.2226i) q^{46} +(-0.371672 + 0.466062i) q^{47} +(-0.644061 + 3.94781i) q^{48} +(5.55084 - 4.26476i) q^{49} +(-6.63396 + 2.43866i) q^{50} +(-1.45775 - 1.16252i) q^{51} +(2.65193 + 10.1426i) q^{52} +(0.113587 + 0.497658i) q^{53} +(-1.40763 - 0.136302i) q^{54} +(0.226879 - 0.109259i) q^{55} +(-4.44032 + 6.02358i) q^{56} +(3.28232 + 1.58068i) q^{57} +(2.50407 + 1.51921i) q^{58} +(-3.00005 + 1.44475i) q^{59} +(0.0931823 - 0.00292130i) q^{60} +(12.0386 + 2.74773i) q^{61} +(2.78099 - 8.36585i) q^{62} +(-2.22740 - 1.42782i) q^{63} +(2.77906 - 7.50179i) q^{64} +(0.220143 - 0.106015i) q^{65} +(7.57745 - 0.974242i) q^{66} +9.62227i q^{67} +(2.41526 + 2.84122i) q^{68} +(-7.77277 - 1.77408i) q^{69} +(0.157640 + 0.0746321i) q^{70} +(-1.82800 + 0.417230i) q^{71} +(2.71066 + 0.807681i) q^{72} +(7.50927 - 5.98844i) q^{73} +(9.73424 + 5.90573i) q^{74} +(1.11212 + 4.87252i) q^{75} +(-5.83614 - 4.36214i) q^{76} +(13.4475 + 4.84239i) q^{77} +(7.35247 - 0.945317i) q^{78} +6.41351i q^{79} +(-0.184023 - 0.0300223i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-4.10052 - 3.97398i) q^{82} +(-2.99386 - 3.75418i) q^{83} +(3.82415 + 3.65730i) q^{84} +(0.0541898 - 0.0679518i) q^{85} +(7.48087 - 0.961826i) q^{86} +(1.29127 - 1.61920i) q^{87} +(-15.2472 - 0.995368i) q^{88} +(-12.8025 + 10.2097i) q^{89} +(0.00635357 - 0.0656153i) q^{90} +(13.0482 + 4.69862i) q^{91} +(14.5760 + 6.46485i) q^{92} +(-5.61649 - 2.70476i) q^{93} +(-0.459652 - 0.706703i) q^{94} +(-0.0736821 + 0.153002i) q^{95} +(-5.01067 - 2.62550i) q^{96} -6.08284i q^{97} +(3.24704 + 9.35183i) q^{98} -5.40217i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.446111 + 1.34201i −0.315448 + 0.948943i
\(3\) 0.900969 + 0.433884i 0.520175 + 0.250503i
\(4\) −1.60197 1.19737i −0.800985 0.598685i
\(5\) −0.0202251 + 0.0419978i −0.00904493 + 0.0187820i −0.905442 0.424469i \(-0.860461\pi\)
0.896397 + 0.443251i \(0.146175\pi\)
\(6\) −0.984208 + 1.01555i −0.401801 + 0.414595i
\(7\) −2.50508 + 0.851222i −0.946831 + 0.321732i
\(8\) 2.32154 1.61569i 0.820787 0.571234i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −0.0473388 0.0458779i −0.0149698 0.0145079i
\(11\) −4.22358 3.36820i −1.27346 1.01555i −0.998536 0.0540831i \(-0.982776\pi\)
−0.274922 0.961466i \(-0.588652\pi\)
\(12\) −0.923805 1.77386i −0.266680 0.512070i
\(13\) −4.09819 3.26819i −1.13663 0.906434i −0.140141 0.990132i \(-0.544756\pi\)
−0.996491 + 0.0836975i \(0.973327\pi\)
\(14\) −0.0248016 3.74158i −0.00662851 0.999978i
\(15\) −0.0364443 + 0.0290634i −0.00940989 + 0.00750414i
\(16\) 1.13261 + 3.83630i 0.283153 + 0.959075i
\(17\) −1.81779 0.414899i −0.440879 0.100628i −0.00368123 0.999993i \(-0.501172\pi\)
−0.437197 + 0.899366i \(0.644029\pi\)
\(18\) −1.32737 + 0.487944i −0.312864 + 0.115010i
\(19\) 3.64310 0.835785 0.417893 0.908496i \(-0.362769\pi\)
0.417893 + 0.908496i \(0.362769\pi\)
\(20\) 0.0826869 0.0430623i 0.0184893 0.00962902i
\(21\) −2.62633 0.319989i −0.573112 0.0698273i
\(22\) 6.40434 4.16549i 1.36541 0.888086i
\(23\) −7.77277 + 1.77408i −1.62073 + 0.369922i −0.934080 0.357063i \(-0.883778\pi\)
−0.686654 + 0.726985i \(0.740921\pi\)
\(24\) 2.79266 0.448414i 0.570048 0.0915320i
\(25\) 3.11609 + 3.90746i 0.623219 + 0.781492i
\(26\) 6.21419 4.04182i 1.21870 0.792666i
\(27\) 0.222521 + 0.974928i 0.0428242 + 0.187625i
\(28\) 5.03229 + 1.63588i 0.951013 + 0.309151i
\(29\) 0.460848 2.01911i 0.0855773 0.374938i −0.913945 0.405838i \(-0.866980\pi\)
0.999523 + 0.0308990i \(0.00983703\pi\)
\(30\) −0.0227451 0.0618741i −0.00415266 0.0112966i
\(31\) −6.23384 −1.11963 −0.559815 0.828618i \(-0.689128\pi\)
−0.559815 + 0.828618i \(0.689128\pi\)
\(32\) −5.65361 0.191445i −0.999427 0.0338430i
\(33\) −2.34391 4.86719i −0.408023 0.847268i
\(34\) 1.36773 2.25440i 0.234564 0.386626i
\(35\) 0.0149160 0.122424i 0.00252126 0.0206934i
\(36\) −0.0626700 1.99902i −0.0104450 0.333170i
\(37\) 1.79149 7.84902i 0.294519 1.29037i −0.583645 0.812009i \(-0.698374\pi\)
0.878163 0.478361i \(-0.158769\pi\)
\(38\) −1.62523 + 4.88907i −0.263647 + 0.793113i
\(39\) −2.27432 4.72268i −0.364183 0.756234i
\(40\) 0.0209024 + 0.130177i 0.00330496 + 0.0205828i
\(41\) −1.75191 + 3.63789i −0.273603 + 0.568142i −0.991815 0.127682i \(-0.959246\pi\)
0.718212 + 0.695824i \(0.244961\pi\)
\(42\) 1.60106 3.38180i 0.247049 0.521824i
\(43\) −2.31404 4.80515i −0.352888 0.732779i 0.646662 0.762777i \(-0.276164\pi\)
−0.999550 + 0.0299974i \(0.990450\pi\)
\(44\) 2.73308 + 10.4529i 0.412027 + 1.57584i
\(45\) −0.0454453 + 0.0103726i −0.00677459 + 0.00154626i
\(46\) 1.08669 11.2226i 0.160223 1.65467i
\(47\) −0.371672 + 0.466062i −0.0542140 + 0.0679822i −0.808199 0.588909i \(-0.799558\pi\)
0.753985 + 0.656891i \(0.228129\pi\)
\(48\) −0.644061 + 3.94781i −0.0929622 + 0.569817i
\(49\) 5.55084 4.26476i 0.792978 0.609251i
\(50\) −6.63396 + 2.43866i −0.938184 + 0.344879i
\(51\) −1.45775 1.16252i −0.204126 0.162785i
\(52\) 2.65193 + 10.1426i 0.367757 + 1.40652i
\(53\) 0.113587 + 0.497658i 0.0156024 + 0.0683586i 0.982130 0.188205i \(-0.0602669\pi\)
−0.966527 + 0.256563i \(0.917410\pi\)
\(54\) −1.40763 0.136302i −0.191554 0.0185483i
\(55\) 0.226879 0.109259i 0.0305924 0.0147325i
\(56\) −4.44032 + 6.02358i −0.593362 + 0.804935i
\(57\) 3.28232 + 1.58068i 0.434754 + 0.209367i
\(58\) 2.50407 + 1.51921i 0.328800 + 0.199482i
\(59\) −3.00005 + 1.44475i −0.390573 + 0.188090i −0.618856 0.785505i \(-0.712403\pi\)
0.228282 + 0.973595i \(0.426689\pi\)
\(60\) 0.0931823 0.00292130i 0.0120298 0.000377138i
\(61\) 12.0386 + 2.74773i 1.54138 + 0.351811i 0.906974 0.421187i \(-0.138386\pi\)
0.634409 + 0.772998i \(0.281244\pi\)
\(62\) 2.78099 8.36585i 0.353185 1.06246i
\(63\) −2.22740 1.42782i −0.280626 0.179889i
\(64\) 2.77906 7.50179i 0.347383 0.937723i
\(65\) 0.220143 0.106015i 0.0273054 0.0131496i
\(66\) 7.57745 0.974242i 0.932719 0.119921i
\(67\) 9.62227i 1.17555i 0.809025 + 0.587774i \(0.199996\pi\)
−0.809025 + 0.587774i \(0.800004\pi\)
\(68\) 2.41526 + 2.84122i 0.292893 + 0.344549i
\(69\) −7.77277 1.77408i −0.935731 0.213575i
\(70\) 0.157640 + 0.0746321i 0.0188415 + 0.00892024i
\(71\) −1.82800 + 0.417230i −0.216944 + 0.0495161i −0.329611 0.944117i \(-0.606918\pi\)
0.112667 + 0.993633i \(0.464061\pi\)
\(72\) 2.71066 + 0.807681i 0.319454 + 0.0951861i
\(73\) 7.50927 5.98844i 0.878894 0.700894i −0.0762337 0.997090i \(-0.524290\pi\)
0.955127 + 0.296196i \(0.0957181\pi\)
\(74\) 9.73424 + 5.90573i 1.13158 + 0.686527i
\(75\) 1.11212 + 4.87252i 0.128417 + 0.562630i
\(76\) −5.83614 4.36214i −0.669451 0.500372i
\(77\) 13.4475 + 4.84239i 1.53248 + 0.551842i
\(78\) 7.35247 0.945317i 0.832503 0.107036i
\(79\) 6.41351i 0.721576i 0.932648 + 0.360788i \(0.117492\pi\)
−0.932648 + 0.360788i \(0.882508\pi\)
\(80\) −0.184023 0.0300223i −0.0205744 0.00335660i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) −4.10052 3.97398i −0.452827 0.438853i
\(83\) −2.99386 3.75418i −0.328619 0.412075i 0.589885 0.807487i \(-0.299173\pi\)
−0.918504 + 0.395412i \(0.870602\pi\)
\(84\) 3.82415 + 3.65730i 0.417249 + 0.399044i
\(85\) 0.0541898 0.0679518i 0.00587771 0.00737041i
\(86\) 7.48087 0.961826i 0.806683 0.103716i
\(87\) 1.29127 1.61920i 0.138438 0.173596i
\(88\) −15.2472 0.995368i −1.62536 0.106107i
\(89\) −12.8025 + 10.2097i −1.35706 + 1.08222i −0.368794 + 0.929511i \(0.620229\pi\)
−0.988271 + 0.152712i \(0.951199\pi\)
\(90\) 0.00635357 0.0656153i 0.000669726 0.00691646i
\(91\) 13.0482 + 4.69862i 1.36783 + 0.492549i
\(92\) 14.5760 + 6.46485i 1.51965 + 0.674007i
\(93\) −5.61649 2.70476i −0.582403 0.280471i
\(94\) −0.459652 0.706703i −0.0474095 0.0728908i
\(95\) −0.0736821 + 0.153002i −0.00755962 + 0.0156977i
\(96\) −5.01067 2.62550i −0.511399 0.267964i
\(97\) 6.08284i 0.617618i −0.951124 0.308809i \(-0.900070\pi\)
0.951124 0.308809i \(-0.0999305\pi\)
\(98\) 3.24704 + 9.35183i 0.328001 + 0.944678i
\(99\) 5.40217i 0.542938i
\(100\) −0.313214 9.99075i −0.0313214 0.999075i
\(101\) 2.27205 4.71797i 0.226078 0.469455i −0.756816 0.653628i \(-0.773246\pi\)
0.982894 + 0.184173i \(0.0589605\pi\)
\(102\) 2.21043 1.43770i 0.218865 0.142354i
\(103\) −15.4641 7.44714i −1.52373 0.733788i −0.530252 0.847840i \(-0.677903\pi\)
−0.993475 + 0.114052i \(0.963617\pi\)
\(104\) −14.7945 0.965815i −1.45072 0.0947060i
\(105\) 0.0665566 0.103828i 0.00649526 0.0101326i
\(106\) −0.718533 0.0695760i −0.0697901 0.00675782i
\(107\) −4.24003 + 3.38131i −0.409899 + 0.326883i −0.806636 0.591049i \(-0.798714\pi\)
0.396737 + 0.917932i \(0.370143\pi\)
\(108\) 0.810878 1.82824i 0.0780267 0.175923i
\(109\) −10.5405 + 13.2174i −1.00960 + 1.26600i −0.0459163 + 0.998945i \(0.514621\pi\)
−0.963682 + 0.267051i \(0.913951\pi\)
\(110\) 0.0454134 + 0.353216i 0.00433000 + 0.0336778i
\(111\) 5.01963 6.29442i 0.476443 0.597440i
\(112\) −6.10282 8.64613i −0.576662 0.816983i
\(113\) −8.37381 10.5004i −0.787742 0.987797i −0.999944 0.0105709i \(-0.996635\pi\)
0.212203 0.977226i \(-0.431936\pi\)
\(114\) −3.58557 + 3.69974i −0.335820 + 0.346513i
\(115\) 0.0826972 0.362320i 0.00771156 0.0337865i
\(116\) −3.15588 + 2.68274i −0.293016 + 0.249086i
\(117\) 5.24178i 0.484602i
\(118\) −0.600506 4.67061i −0.0552811 0.429964i
\(119\) 4.90688 0.507988i 0.449813 0.0465672i
\(120\) −0.0376493 + 0.126355i −0.00343689 + 0.0115345i
\(121\) 4.04619 + 17.7275i 0.367836 + 1.61159i
\(122\) −9.05802 + 14.9301i −0.820075 + 1.35171i
\(123\) −3.15684 + 2.51750i −0.284643 + 0.226995i
\(124\) 9.98641 + 7.46421i 0.896806 + 0.670306i
\(125\) −0.454355 + 0.103704i −0.0406387 + 0.00927552i
\(126\) 2.90982 2.35222i 0.259227 0.209553i
\(127\) 16.5222 + 3.77108i 1.46611 + 0.334629i 0.879755 0.475427i \(-0.157707\pi\)
0.586352 + 0.810057i \(0.300564\pi\)
\(128\) 8.82768 + 7.07616i 0.780264 + 0.625450i
\(129\) 5.33332i 0.469573i
\(130\) 0.0440650 + 0.342728i 0.00386476 + 0.0300593i
\(131\) −0.352038 + 0.169532i −0.0307577 + 0.0148121i −0.449199 0.893432i \(-0.648291\pi\)
0.418442 + 0.908244i \(0.362576\pi\)
\(132\) −2.07294 + 10.6036i −0.180427 + 0.922926i
\(133\) −9.12626 + 3.10109i −0.791348 + 0.268899i
\(134\) −12.9132 4.29261i −1.11553 0.370825i
\(135\) −0.0454453 0.0103726i −0.00391131 0.000892732i
\(136\) −4.89041 + 1.97379i −0.419350 + 0.169251i
\(137\) 4.71687 2.27152i 0.402989 0.194069i −0.221399 0.975183i \(-0.571062\pi\)
0.624389 + 0.781114i \(0.285348\pi\)
\(138\) 5.84835 9.63967i 0.497845 0.820584i
\(139\) 10.8589 + 5.22936i 0.921039 + 0.443549i 0.833442 0.552607i \(-0.186367\pi\)
0.0875968 + 0.996156i \(0.472081\pi\)
\(140\) −0.170482 + 0.178259i −0.0144083 + 0.0150657i
\(141\) −0.537082 + 0.258645i −0.0452305 + 0.0217818i
\(142\) 0.255568 2.63933i 0.0214468 0.221487i
\(143\) 6.30112 + 27.6070i 0.526926 + 2.30861i
\(144\) −2.29317 + 3.27740i −0.191097 + 0.273117i
\(145\) 0.0754773 + 0.0601912i 0.00626805 + 0.00499860i
\(146\) 4.68657 + 12.7490i 0.387863 + 1.05512i
\(147\) 6.85155 1.43399i 0.565106 0.118274i
\(148\) −12.2681 + 10.4288i −1.00843 + 0.857243i
\(149\) −12.8149 + 16.0694i −1.04984 + 1.31646i −0.103024 + 0.994679i \(0.532852\pi\)
−0.946815 + 0.321778i \(0.895720\pi\)
\(150\) −7.03509 0.681212i −0.574413 0.0556207i
\(151\) −12.4520 + 2.84209i −1.01333 + 0.231286i −0.696776 0.717288i \(-0.745383\pi\)
−0.316554 + 0.948574i \(0.602526\pi\)
\(152\) 8.45760 5.88614i 0.686002 0.477429i
\(153\) −0.808992 1.67989i −0.0654032 0.135811i
\(154\) −12.4976 + 15.8864i −1.00709 + 1.28016i
\(155\) 0.126080 0.261807i 0.0101270 0.0210289i
\(156\) −2.01140 + 10.2888i −0.161041 + 0.823762i
\(157\) −7.88108 16.3652i −0.628978 1.30609i −0.935198 0.354126i \(-0.884778\pi\)
0.306219 0.951961i \(-0.400936\pi\)
\(158\) −8.60698 2.86114i −0.684735 0.227620i
\(159\) −0.113587 + 0.497658i −0.00900805 + 0.0394669i
\(160\) 0.122385 0.233567i 0.00967539 0.0184651i
\(161\) 17.9613 11.0606i 1.41555 0.871695i
\(162\) −1.20909 0.733551i −0.0949952 0.0576332i
\(163\) −0.749849 1.55708i −0.0587327 0.121960i 0.869537 0.493869i \(-0.164418\pi\)
−0.928269 + 0.371909i \(0.878703\pi\)
\(164\) 7.16241 3.73009i 0.559290 0.291271i
\(165\) 0.251817 0.0196039
\(166\) 6.37374 2.34300i 0.494698 0.181852i
\(167\) 5.01762 21.9836i 0.388275 1.70114i −0.282320 0.959320i \(-0.591104\pi\)
0.670595 0.741823i \(-0.266039\pi\)
\(168\) −6.61412 + 3.50048i −0.510291 + 0.270068i
\(169\) 3.22126 + 14.1133i 0.247789 + 1.08564i
\(170\) 0.0670172 + 0.103037i 0.00513998 + 0.00790259i
\(171\) 2.27144 + 2.84829i 0.173701 + 0.217814i
\(172\) −2.04653 + 10.4685i −0.156046 + 0.798213i
\(173\) −15.7733 + 3.60016i −1.19922 + 0.273715i −0.775070 0.631875i \(-0.782286\pi\)
−0.424154 + 0.905590i \(0.639429\pi\)
\(174\) 1.59693 + 2.45523i 0.121063 + 0.186131i
\(175\) −11.1322 7.13601i −0.841513 0.539431i
\(176\) 8.13773 20.0178i 0.613405 1.50890i
\(177\) −3.32980 −0.250283
\(178\) −7.99011 21.7357i −0.598884 1.62916i
\(179\) −0.240257 0.0548370i −0.0179576 0.00409871i 0.213533 0.976936i \(-0.431503\pi\)
−0.231490 + 0.972837i \(0.574360\pi\)
\(180\) 0.0852219 + 0.0377983i 0.00635206 + 0.00281732i
\(181\) −5.83782 + 4.65550i −0.433921 + 0.346041i −0.815963 0.578104i \(-0.803793\pi\)
0.382041 + 0.924145i \(0.375221\pi\)
\(182\) −12.1266 + 15.4147i −0.898880 + 1.14262i
\(183\) 9.65420 + 7.69896i 0.713659 + 0.569124i
\(184\) −15.1784 + 16.6770i −1.11897 + 1.22945i
\(185\) 0.293409 + 0.233986i 0.0215718 + 0.0172030i
\(186\) 6.13539 6.33075i 0.449869 0.464193i
\(187\) 6.28013 + 7.87503i 0.459248 + 0.575879i
\(188\) 1.15346 0.301588i 0.0841245 0.0219956i
\(189\) −1.38731 2.25286i −0.100912 0.163871i
\(190\) −0.172460 0.167138i −0.0125116 0.0121255i
\(191\) 0.526785 1.09388i 0.0381168 0.0791504i −0.881041 0.473040i \(-0.843157\pi\)
0.919158 + 0.393890i \(0.128871\pi\)
\(192\) 5.75875 5.55309i 0.415602 0.400760i
\(193\) 9.04236 + 4.35457i 0.650884 + 0.313449i 0.730031 0.683414i \(-0.239506\pi\)
−0.0791475 + 0.996863i \(0.525220\pi\)
\(194\) 8.16321 + 2.71362i 0.586085 + 0.194827i
\(195\) 0.244340 0.0174976
\(196\) −13.9988 + 0.185594i −0.999912 + 0.0132567i
\(197\) −11.0226 −0.785329 −0.392664 0.919682i \(-0.628447\pi\)
−0.392664 + 0.919682i \(0.628447\pi\)
\(198\) 7.24975 + 2.40997i 0.515217 + 0.171269i
\(199\) 7.21398 + 3.47407i 0.511386 + 0.246270i 0.671737 0.740790i \(-0.265548\pi\)
−0.160351 + 0.987060i \(0.551263\pi\)
\(200\) 13.5474 + 4.03665i 0.957945 + 0.285434i
\(201\) −4.17495 + 8.66937i −0.294478 + 0.611490i
\(202\) 5.31796 + 5.15385i 0.374170 + 0.362624i
\(203\) 0.564247 + 5.45030i 0.0396023 + 0.382536i
\(204\) 0.943310 + 3.60779i 0.0660449 + 0.252596i
\(205\) −0.117351 0.147153i −0.00819613 0.0102776i
\(206\) 16.8928 17.4307i 1.17698 1.21446i
\(207\) −6.23328 4.97087i −0.433243 0.345499i
\(208\) 7.89612 19.4235i 0.547498 1.34677i
\(209\) −15.3870 12.2707i −1.06434 0.848781i
\(210\) 0.109647 + 0.135638i 0.00756634 + 0.00935994i
\(211\) 2.57719 2.05524i 0.177421 0.141489i −0.530753 0.847527i \(-0.678091\pi\)
0.708174 + 0.706038i \(0.249519\pi\)
\(212\) 0.413918 0.933239i 0.0284280 0.0640951i
\(213\) −1.82800 0.417230i −0.125253 0.0285881i
\(214\) −2.64622 7.19859i −0.180892 0.492085i
\(215\) 0.248608 0.0169549
\(216\) 2.09178 + 1.90380i 0.142327 + 0.129538i
\(217\) 15.6163 5.30638i 1.06010 0.360220i
\(218\) −13.0356 20.0419i −0.882882 1.35741i
\(219\) 9.36391 2.13725i 0.632754 0.144422i
\(220\) −0.494277 0.0966284i −0.0333242 0.00651468i
\(221\) 6.09367 + 7.64122i 0.409905 + 0.514004i
\(222\) 6.20785 + 9.54440i 0.416643 + 0.640578i
\(223\) −3.49760 15.3240i −0.234217 1.02617i −0.946100 0.323874i \(-0.895015\pi\)
0.711883 0.702298i \(-0.247842\pi\)
\(224\) 14.3257 4.33289i 0.957177 0.289504i
\(225\) −1.11212 + 4.87252i −0.0741414 + 0.324835i
\(226\) 17.8273 6.55336i 1.18585 0.435923i
\(227\) 14.8216 0.983742 0.491871 0.870668i \(-0.336313\pi\)
0.491871 + 0.870668i \(0.336313\pi\)
\(228\) −3.36552 6.46236i −0.222887 0.427980i
\(229\) 5.04858 + 10.4835i 0.333619 + 0.692768i 0.998533 0.0541526i \(-0.0172458\pi\)
−0.664913 + 0.746921i \(0.731531\pi\)
\(230\) 0.449344 + 0.272615i 0.0296289 + 0.0179757i
\(231\) 10.0147 + 10.1975i 0.658922 + 0.670946i
\(232\) −2.19238 5.43202i −0.143937 0.356629i
\(233\) −2.35978 + 10.3389i −0.154594 + 0.677322i 0.836920 + 0.547325i \(0.184354\pi\)
−0.991514 + 0.129997i \(0.958503\pi\)
\(234\) 7.03450 + 2.33842i 0.459860 + 0.152867i
\(235\) −0.0120565 0.0250356i −0.000786479 0.00163314i
\(236\) 6.53588 + 1.27773i 0.425450 + 0.0831730i
\(237\) −2.78272 + 5.77837i −0.180757 + 0.375346i
\(238\) −1.50729 + 6.81169i −0.0977031 + 0.441536i
\(239\) −8.65838 17.9793i −0.560064 1.16299i −0.968226 0.250076i \(-0.919544\pi\)
0.408162 0.912909i \(-0.366170\pi\)
\(240\) −0.152773 0.106894i −0.00986146 0.00689997i
\(241\) 18.2252 4.15979i 1.17399 0.267956i 0.409329 0.912387i \(-0.365763\pi\)
0.764662 + 0.644431i \(0.222906\pi\)
\(242\) −25.5955 2.47843i −1.64534 0.159320i
\(243\) −0.623490 + 0.781831i −0.0399969 + 0.0501545i
\(244\) −15.9954 18.8164i −1.02400 1.20460i
\(245\) 0.0668442 + 0.319378i 0.00427052 + 0.0204043i
\(246\) −1.97020 5.35959i −0.125615 0.341715i
\(247\) −14.9301 11.9064i −0.949981 0.757584i
\(248\) −14.4721 + 10.0720i −0.918978 + 0.639571i
\(249\) −1.06850 4.68139i −0.0677132 0.296671i
\(250\) 0.0635219 0.656011i 0.00401748 0.0414898i
\(251\) 14.3874 6.92863i 0.908127 0.437331i 0.0793098 0.996850i \(-0.474728\pi\)
0.828818 + 0.559519i \(0.189014\pi\)
\(252\) 1.85860 + 4.95435i 0.117081 + 0.312095i
\(253\) 38.8044 + 18.6872i 2.43961 + 1.17486i
\(254\) −12.4316 + 20.4906i −0.780025 + 1.28569i
\(255\) 0.0783065 0.0377104i 0.00490374 0.00236152i
\(256\) −13.4344 + 8.69007i −0.839649 + 0.543129i
\(257\) 13.7431 + 3.13677i 0.857270 + 0.195666i 0.628495 0.777813i \(-0.283671\pi\)
0.228774 + 0.973480i \(0.426528\pi\)
\(258\) 7.15735 + 2.37925i 0.445597 + 0.148126i
\(259\) 2.19344 + 21.1874i 0.136294 + 1.31652i
\(260\) −0.479602 0.0937595i −0.0297437 0.00581471i
\(261\) 1.86593 0.898587i 0.115498 0.0556211i
\(262\) −0.0704658 0.548068i −0.00435339 0.0338597i
\(263\) 17.2157i 1.06156i 0.847509 + 0.530781i \(0.178102\pi\)
−0.847509 + 0.530781i \(0.821898\pi\)
\(264\) −13.3054 7.51230i −0.818889 0.462350i
\(265\) −0.0231979 0.00529476i −0.00142503 0.000325255i
\(266\) −0.0903549 13.6309i −0.00554001 0.835767i
\(267\) −15.9645 + 3.64379i −0.977011 + 0.222996i
\(268\) 11.5214 15.4146i 0.703783 0.941596i
\(269\) −0.966429 + 0.770701i −0.0589242 + 0.0469905i −0.652509 0.757781i \(-0.726284\pi\)
0.593585 + 0.804771i \(0.297712\pi\)
\(270\) 0.0341938 0.0563607i 0.00208097 0.00343000i
\(271\) −1.98137 8.68095i −0.120360 0.527330i −0.998777 0.0494363i \(-0.984258\pi\)
0.878418 0.477894i \(-0.158600\pi\)
\(272\) −0.467172 7.44350i −0.0283265 0.451329i
\(273\) 9.71740 + 9.89473i 0.588124 + 0.598856i
\(274\) 0.944154 + 7.34343i 0.0570384 + 0.443633i
\(275\) 26.9991i 1.62811i
\(276\) 10.3275 + 12.1489i 0.621642 + 0.731278i
\(277\) −0.652312 + 2.85797i −0.0391937 + 0.171719i −0.990737 0.135797i \(-0.956640\pi\)
0.951543 + 0.307516i \(0.0994976\pi\)
\(278\) −11.8621 + 12.2398i −0.711443 + 0.734096i
\(279\) −3.88673 4.87381i −0.232693 0.291787i
\(280\) −0.163172 0.308311i −0.00975137 0.0184251i
\(281\) 2.02682 2.54155i 0.120910 0.151616i −0.717693 0.696360i \(-0.754802\pi\)
0.838602 + 0.544744i \(0.183373\pi\)
\(282\) −0.107505 0.836153i −0.00640184 0.0497922i
\(283\) 15.0553 18.8788i 0.894946 1.12223i −0.0969649 0.995288i \(-0.530913\pi\)
0.991911 0.126939i \(-0.0405151\pi\)
\(284\) 3.42798 + 1.52041i 0.203413 + 0.0902196i
\(285\) −0.132771 + 0.105881i −0.00786465 + 0.00627185i
\(286\) −39.8598 3.85965i −2.35696 0.228226i
\(287\) 1.29203 10.6045i 0.0762664 0.625961i
\(288\) −3.37529 4.53954i −0.198891 0.267495i
\(289\) −12.1843 5.86763i −0.716721 0.345155i
\(290\) −0.114448 + 0.0744392i −0.00672064 + 0.00437122i
\(291\) 2.63924 5.48045i 0.154715 0.321269i
\(292\) −19.2000 + 0.601927i −1.12360 + 0.0352251i
\(293\) 21.4997i 1.25603i −0.778202 0.628014i \(-0.783868\pi\)
0.778202 0.628014i \(-0.216132\pi\)
\(294\) −1.13213 + 9.83455i −0.0660269 + 0.573562i
\(295\) 0.155216i 0.00903701i
\(296\) −8.52261 21.1163i −0.495367 1.22736i
\(297\) 2.34391 4.86719i 0.136008 0.282423i
\(298\) −15.8484 24.3665i −0.918072 1.41151i
\(299\) 37.6523 + 18.1324i 2.17749 + 1.04862i
\(300\) 4.05263 9.13725i 0.233978 0.527539i
\(301\) 9.88711 + 10.0675i 0.569883 + 0.580283i
\(302\) 1.74088 17.9786i 0.100176 1.03455i
\(303\) 4.09410 3.26493i 0.235200 0.187566i
\(304\) 4.12622 + 13.9760i 0.236655 + 0.801581i
\(305\) −0.358880 + 0.450021i −0.0205494 + 0.0257681i
\(306\) 2.61533 0.336256i 0.149508 0.0192225i
\(307\) −1.05044 + 1.31721i −0.0599516 + 0.0751769i −0.810903 0.585180i \(-0.801024\pi\)
0.750952 + 0.660357i \(0.229595\pi\)
\(308\) −15.7443 23.8590i −0.897117 1.35949i
\(309\) −10.7015 13.4193i −0.608788 0.763396i
\(310\) 0.295102 + 0.285995i 0.0167607 + 0.0162434i
\(311\) 6.08177 26.6460i 0.344865 1.51095i −0.443797 0.896127i \(-0.646369\pi\)
0.788662 0.614827i \(-0.210774\pi\)
\(312\) −12.9103 7.28926i −0.730903 0.412673i
\(313\) 16.2824i 0.920338i −0.887831 0.460169i \(-0.847789\pi\)
0.887831 0.460169i \(-0.152211\pi\)
\(314\) 25.4781 3.27575i 1.43781 0.184861i
\(315\) 0.105015 0.0646683i 0.00591691 0.00364364i
\(316\) 7.67934 10.2742i 0.431997 0.577972i
\(317\) −3.86046 16.9138i −0.216825 0.949971i −0.959807 0.280660i \(-0.909447\pi\)
0.742982 0.669311i \(-0.233411\pi\)
\(318\) −0.617188 0.374446i −0.0346102 0.0209979i
\(319\) −8.74717 + 6.97564i −0.489748 + 0.390561i
\(320\) 0.258852 + 0.268439i 0.0144703 + 0.0150062i
\(321\) −5.28722 + 1.20677i −0.295104 + 0.0673556i
\(322\) 6.83064 + 29.0384i 0.380657 + 1.61825i
\(323\) −6.62240 1.51152i −0.368480 0.0841032i
\(324\) 1.52382 1.29536i 0.0846567 0.0719647i
\(325\) 26.1975i 1.45318i
\(326\) 2.42413 0.311673i 0.134260 0.0172620i
\(327\) −15.2315 + 7.33510i −0.842303 + 0.405632i
\(328\) 1.81058 + 11.2760i 0.0999726 + 0.622615i
\(329\) 0.534346 1.48390i 0.0294595 0.0818100i
\(330\) −0.112338 + 0.337940i −0.00618403 + 0.0186030i
\(331\) −15.6987 3.58313i −0.862879 0.196947i −0.231894 0.972741i \(-0.574492\pi\)
−0.630986 + 0.775794i \(0.717349\pi\)
\(332\) 0.300927 + 9.59885i 0.0165155 + 0.526805i
\(333\) 7.25358 3.49314i 0.397494 0.191423i
\(334\) 27.2638 + 16.5408i 1.49181 + 0.905074i
\(335\) −0.404114 0.194611i −0.0220791 0.0106327i
\(336\) −1.74704 10.4378i −0.0953086 0.569429i
\(337\) −29.1283 + 14.0275i −1.58672 + 0.764124i −0.998990 0.0449324i \(-0.985693\pi\)
−0.587730 + 0.809057i \(0.699978\pi\)
\(338\) −20.3772 1.97313i −1.10837 0.107324i
\(339\) −2.98858 13.0938i −0.162317 0.711158i
\(340\) −0.168174 + 0.0439715i −0.00912051 + 0.00238469i
\(341\) 26.3291 + 20.9968i 1.42580 + 1.13704i
\(342\) −4.83575 + 1.77763i −0.261487 + 0.0961233i
\(343\) −10.2750 + 15.4085i −0.554801 + 0.831983i
\(344\) −13.1358 7.41656i −0.708234 0.399874i
\(345\) 0.231712 0.290558i 0.0124750 0.0156431i
\(346\) 2.20522 22.7740i 0.118553 1.22434i
\(347\) 22.3555 5.10249i 1.20010 0.273916i 0.424672 0.905347i \(-0.360389\pi\)
0.775432 + 0.631431i \(0.217532\pi\)
\(348\) −4.00735 + 1.04778i −0.214816 + 0.0561669i
\(349\) −7.36603 15.2957i −0.394295 0.818762i −0.999738 0.0228733i \(-0.992719\pi\)
0.605444 0.795888i \(-0.292996\pi\)
\(350\) 14.5428 11.7560i 0.777344 0.628385i
\(351\) 2.27432 4.72268i 0.121394 0.252078i
\(352\) 23.2337 + 19.8511i 1.23836 + 1.05807i
\(353\) −12.0111 24.9414i −0.639288 1.32750i −0.928893 0.370349i \(-0.879238\pi\)
0.289604 0.957146i \(-0.406476\pi\)
\(354\) 1.48546 4.46862i 0.0789515 0.237505i
\(355\) 0.0194488 0.0852107i 0.00103223 0.00452251i
\(356\) 32.7340 1.02622i 1.73490 0.0543897i
\(357\) 4.64135 + 1.67133i 0.245646 + 0.0884563i
\(358\) 0.180773 0.297963i 0.00955415 0.0157478i
\(359\) 12.7529 + 26.4817i 0.673074 + 1.39765i 0.905208 + 0.424969i \(0.139715\pi\)
−0.232134 + 0.972684i \(0.574571\pi\)
\(360\) −0.0887441 + 0.0975062i −0.00467722 + 0.00513903i
\(361\) −5.72779 −0.301463
\(362\) −3.64340 9.91127i −0.191493 0.520925i
\(363\) −4.04619 + 17.7275i −0.212370 + 0.930454i
\(364\) −15.2769 23.1506i −0.800727 1.21342i
\(365\) 0.0996259 + 0.436490i 0.00521466 + 0.0228469i
\(366\) −14.6389 + 9.52141i −0.765188 + 0.497692i
\(367\) −3.58881 4.50022i −0.187334 0.234910i 0.679291 0.733869i \(-0.262287\pi\)
−0.866626 + 0.498959i \(0.833716\pi\)
\(368\) −15.6094 27.8093i −0.813698 1.44966i
\(369\) −3.93651 + 0.898484i −0.204927 + 0.0467732i
\(370\) −0.444903 + 0.289373i −0.0231294 + 0.0150438i
\(371\) −0.708162 1.14998i −0.0367660 0.0597042i
\(372\) 5.75885 + 11.0580i 0.298582 + 0.573329i
\(373\) 16.7948 0.869600 0.434800 0.900527i \(-0.356819\pi\)
0.434800 + 0.900527i \(0.356819\pi\)
\(374\) −13.3700 + 4.91484i −0.691346 + 0.254140i
\(375\) −0.454355 0.103704i −0.0234628 0.00535523i
\(376\) −0.109836 + 1.68249i −0.00566438 + 0.0867678i
\(377\) −8.48747 + 6.76853i −0.437127 + 0.348597i
\(378\) 3.64225 0.856759i 0.187337 0.0440669i
\(379\) 4.38597 + 3.49770i 0.225292 + 0.179665i 0.729631 0.683842i \(-0.239692\pi\)
−0.504338 + 0.863506i \(0.668263\pi\)
\(380\) 0.301237 0.156880i 0.0154531 0.00804780i
\(381\) 13.2498 + 10.5663i 0.678806 + 0.541330i
\(382\) 1.23299 + 1.19494i 0.0630853 + 0.0611386i
\(383\) −9.06944 11.3727i −0.463427 0.581119i 0.494121 0.869393i \(-0.335490\pi\)
−0.957548 + 0.288274i \(0.906919\pi\)
\(384\) 4.88324 + 10.2056i 0.249197 + 0.520802i
\(385\) −0.475347 + 0.466828i −0.0242259 + 0.0237917i
\(386\) −9.87777 + 10.1923i −0.502765 + 0.518774i
\(387\) 2.31404 4.80515i 0.117629 0.244260i
\(388\) −7.28341 + 9.74452i −0.369759 + 0.494703i
\(389\) 23.2981 + 11.2198i 1.18126 + 0.568866i 0.918279 0.395934i \(-0.129579\pi\)
0.262984 + 0.964800i \(0.415293\pi\)
\(390\) −0.109003 + 0.327907i −0.00551959 + 0.0166042i
\(391\) 14.8653 0.751771
\(392\) 5.99594 18.8693i 0.302841 0.953041i
\(393\) −0.390732 −0.0197098
\(394\) 4.91732 14.7924i 0.247731 0.745232i
\(395\) −0.269353 0.129714i −0.0135526 0.00652661i
\(396\) −6.46839 + 8.65411i −0.325049 + 0.434885i
\(397\) −0.931072 + 1.93339i −0.0467292 + 0.0970341i −0.923026 0.384737i \(-0.874292\pi\)
0.876297 + 0.481771i \(0.160006\pi\)
\(398\) −7.88047 + 8.13140i −0.395012 + 0.407590i
\(399\) −9.56799 1.16575i −0.478999 0.0583606i
\(400\) −11.4609 + 16.3799i −0.573043 + 0.818995i
\(401\) −24.4998 30.7218i −1.22346 1.53417i −0.762853 0.646573i \(-0.776202\pi\)
−0.460611 0.887602i \(-0.652370\pi\)
\(402\) −9.77187 9.47032i −0.487376 0.472336i
\(403\) 25.5474 + 20.3734i 1.27261 + 1.01487i
\(404\) −9.28891 + 4.83755i −0.462140 + 0.240677i
\(405\) −0.0364443 0.0290634i −0.00181093 0.00144417i
\(406\) −7.56607 1.67422i −0.375498 0.0830901i
\(407\) −34.0035 + 27.1169i −1.68549 + 1.34414i
\(408\) −5.26251 0.343547i −0.260533 0.0170081i
\(409\) 17.6336 + 4.02476i 0.871928 + 0.199012i 0.634997 0.772515i \(-0.281001\pi\)
0.236931 + 0.971527i \(0.423859\pi\)
\(410\) 0.249832 0.0918388i 0.0123383 0.00453560i
\(411\) 5.23533 0.258240
\(412\) 15.8561 + 30.4464i 0.781174 + 1.49999i
\(413\) 6.28556 6.17291i 0.309292 0.303749i
\(414\) 9.45168 6.14754i 0.464525 0.302135i
\(415\) 0.218219 0.0498070i 0.0107119 0.00244493i
\(416\) 22.5439 + 19.2617i 1.10530 + 0.944382i
\(417\) 7.51458 + 9.42299i 0.367991 + 0.461446i
\(418\) 23.3317 15.1753i 1.14119 0.742249i
\(419\) −0.546483 2.39430i −0.0266974 0.116969i 0.959823 0.280605i \(-0.0905350\pi\)
−0.986521 + 0.163636i \(0.947678\pi\)
\(420\) −0.230942 + 0.0866369i −0.0112688 + 0.00422745i
\(421\) −5.92496 + 25.9589i −0.288765 + 1.26516i 0.597457 + 0.801901i \(0.296178\pi\)
−0.886222 + 0.463261i \(0.846679\pi\)
\(422\) 1.60844 + 4.37548i 0.0782975 + 0.212995i
\(423\) −0.596116 −0.0289842
\(424\) 1.06776 + 0.971809i 0.0518550 + 0.0471952i
\(425\) −4.04320 8.39580i −0.196124 0.407256i
\(426\) 1.37542 2.26706i 0.0666393 0.109840i
\(427\) −32.4965 + 3.36423i −1.57262 + 0.162806i
\(428\) 10.8411 0.339871i 0.524023 0.0164283i
\(429\) −6.30112 + 27.6070i −0.304221 + 1.33288i
\(430\) −0.110907 + 0.333633i −0.00534840 + 0.0160892i
\(431\) −10.0519 20.8729i −0.484181 1.00541i −0.989775 0.142641i \(-0.954441\pi\)
0.505593 0.862772i \(-0.331274\pi\)
\(432\) −3.48809 + 1.95787i −0.167821 + 0.0941981i
\(433\) −0.810188 + 1.68237i −0.0389351 + 0.0808497i −0.919529 0.393022i \(-0.871430\pi\)
0.880594 + 0.473872i \(0.157144\pi\)
\(434\) 0.154609 + 23.3244i 0.00742148 + 1.11961i
\(435\) 0.0418868 + 0.0869788i 0.00200832 + 0.00417031i
\(436\) 32.7117 8.55296i 1.56661 0.409612i
\(437\) −28.3170 + 6.46317i −1.35459 + 0.309175i
\(438\) −1.30914 + 13.5199i −0.0625531 + 0.646005i
\(439\) 3.20537 4.01940i 0.152984 0.191836i −0.699434 0.714698i \(-0.746564\pi\)
0.852417 + 0.522862i \(0.175136\pi\)
\(440\) 0.350179 0.620217i 0.0166941 0.0295677i
\(441\) 6.79521 + 1.68079i 0.323582 + 0.0800377i
\(442\) −12.9730 + 4.76892i −0.617064 + 0.226834i
\(443\) −3.10497 2.47613i −0.147522 0.117645i 0.546948 0.837167i \(-0.315790\pi\)
−0.694470 + 0.719522i \(0.744361\pi\)
\(444\) −15.5781 + 4.07311i −0.739302 + 0.193301i
\(445\) −0.169852 0.744169i −0.00805175 0.0352770i
\(446\) 22.1253 + 2.14240i 1.04766 + 0.101446i
\(447\) −18.5181 + 8.91784i −0.875876 + 0.421800i
\(448\) −0.576087 + 21.1582i −0.0272175 + 0.999630i
\(449\) 10.3399 + 4.97945i 0.487972 + 0.234995i 0.661657 0.749806i \(-0.269853\pi\)
−0.173686 + 0.984801i \(0.555568\pi\)
\(450\) −6.04283 3.66616i −0.284862 0.172825i
\(451\) 19.6525 9.46413i 0.925399 0.445649i
\(452\) 0.841692 + 26.8479i 0.0395898 + 1.26282i
\(453\) −12.4520 2.84209i −0.585047 0.133533i
\(454\) −6.61207 + 19.8907i −0.310320 + 0.933515i
\(455\) −0.461233 + 0.452968i −0.0216230 + 0.0212354i
\(456\) 10.1739 1.63362i 0.476438 0.0765011i
\(457\) −28.5171 + 13.7331i −1.33397 + 0.642408i −0.958677 0.284496i \(-0.908174\pi\)
−0.375297 + 0.926904i \(0.622459\pi\)
\(458\) −16.3211 + 2.09843i −0.762637 + 0.0980532i
\(459\) 1.86454i 0.0870291i
\(460\) −0.566310 + 0.481407i −0.0264043 + 0.0224457i
\(461\) 20.9740 + 4.78718i 0.976857 + 0.222961i 0.681010 0.732274i \(-0.261541\pi\)
0.295847 + 0.955235i \(0.404398\pi\)
\(462\) −18.1528 + 8.89064i −0.844545 + 0.413630i
\(463\) 23.9768 5.47256i 1.11430 0.254331i 0.374545 0.927209i \(-0.377799\pi\)
0.739754 + 0.672877i \(0.234942\pi\)
\(464\) 8.26785 0.518911i 0.383826 0.0240898i
\(465\) 0.227188 0.181176i 0.0105356 0.00840185i
\(466\) −12.8221 7.77913i −0.593973 0.360361i
\(467\) −1.15321 5.05255i −0.0533643 0.233804i 0.941212 0.337818i \(-0.109689\pi\)
−0.994576 + 0.104013i \(0.966832\pi\)
\(468\) −6.27635 + 8.39716i −0.290124 + 0.388159i
\(469\) −8.19069 24.1046i −0.378211 1.11304i
\(470\) 0.0389765 0.00501126i 0.00179785 0.000231152i
\(471\) 18.1640i 0.836954i
\(472\) −4.63045 + 8.20120i −0.213134 + 0.377491i
\(473\) −6.41116 + 28.0891i −0.294785 + 1.29154i
\(474\) −6.51322 6.31223i −0.299162 0.289930i
\(475\) 11.3523 + 14.2353i 0.520877 + 0.653159i
\(476\) −8.46892 5.06157i −0.388172 0.231996i
\(477\) −0.318264 + 0.399091i −0.0145723 + 0.0182731i
\(478\) 27.9910 3.59884i 1.28028 0.164607i
\(479\) −7.24551 + 9.08558i −0.331056 + 0.415131i −0.919303 0.393550i \(-0.871247\pi\)
0.588247 + 0.808681i \(0.299818\pi\)
\(480\) 0.211606 0.157336i 0.00965846 0.00718138i
\(481\) −32.9940 + 26.3118i −1.50440 + 1.19972i
\(482\) −2.54802 + 26.3141i −0.116059 + 1.19858i
\(483\) 20.9815 2.17213i 0.954693 0.0988353i
\(484\) 14.7445 33.2437i 0.670206 1.51108i
\(485\) 0.255466 + 0.123026i 0.0116001 + 0.00558632i
\(486\) −0.771078 1.18551i −0.0349768 0.0537759i
\(487\) 4.05232 8.41473i 0.183628 0.381308i −0.788752 0.614712i \(-0.789272\pi\)
0.972380 + 0.233404i \(0.0749865\pi\)
\(488\) 32.3875 13.0717i 1.46611 0.591729i
\(489\) 1.72823i 0.0781531i
\(490\) −0.458428 0.0527729i −0.0207097 0.00238404i
\(491\) 28.7183i 1.29604i 0.761623 + 0.648020i \(0.224403\pi\)
−0.761623 + 0.648020i \(0.775597\pi\)
\(492\) 8.07153 0.253046i 0.363893 0.0114082i
\(493\) −1.67545 + 3.47910i −0.0754584 + 0.156691i
\(494\) 22.6389 14.7248i 1.01857 0.662499i
\(495\) 0.226879 + 0.109259i 0.0101975 + 0.00491084i
\(496\) −7.06051 23.9149i −0.317026 1.07381i
\(497\) 4.22414 2.60123i 0.189479 0.116681i
\(498\) 6.75913 + 0.654491i 0.302884 + 0.0293284i
\(499\) 7.47416 5.96044i 0.334589 0.266826i −0.441754 0.897136i \(-0.645644\pi\)
0.776343 + 0.630310i \(0.217072\pi\)
\(500\) 0.852034 + 0.377901i 0.0381041 + 0.0169002i
\(501\) 14.0591 17.6295i 0.628112 0.787628i
\(502\) 2.87987 + 22.3990i 0.128535 + 0.999716i
\(503\) −24.9628 + 31.3024i −1.11304 + 1.39570i −0.204008 + 0.978969i \(0.565397\pi\)
−0.909028 + 0.416735i \(0.863174\pi\)
\(504\) −7.47792 + 0.284063i −0.333093 + 0.0126532i
\(505\) 0.152192 + 0.190842i 0.00677245 + 0.00849238i
\(506\) −42.3895 + 43.7392i −1.88444 + 1.94445i
\(507\) −3.22126 + 14.1133i −0.143061 + 0.626792i
\(508\) −21.9526 25.8243i −0.973991 1.14577i
\(509\) 21.8877i 0.970156i −0.874471 0.485078i \(-0.838791\pi\)
0.874471 0.485078i \(-0.161209\pi\)
\(510\) 0.0156743 + 0.121911i 0.000694068 + 0.00539831i
\(511\) −13.7138 + 21.3936i −0.606664 + 0.946396i
\(512\) −5.66890 21.9058i −0.250532 0.968108i
\(513\) 0.810667 + 3.55176i 0.0357918 + 0.156814i
\(514\) −10.3405 + 17.0440i −0.456100 + 0.751777i
\(515\) 0.625527 0.498841i 0.0275640 0.0219816i
\(516\) −6.38596 + 8.54381i −0.281126 + 0.376120i
\(517\) 3.13958 0.716588i 0.138079 0.0315155i
\(518\) −29.4121 6.50831i −1.29229 0.285959i
\(519\) −15.7733 3.60016i −0.692373 0.158030i
\(520\) 0.339782 0.601803i 0.0149004 0.0263908i
\(521\) 23.6652i 1.03679i −0.855141 0.518395i \(-0.826530\pi\)
0.855141 0.518395i \(-0.173470\pi\)
\(522\) 0.373495 + 2.90497i 0.0163475 + 0.127147i
\(523\) −13.4207 + 6.46306i −0.586846 + 0.282610i −0.703652 0.710545i \(-0.748449\pi\)
0.116806 + 0.993155i \(0.462734\pi\)
\(524\) 0.766947 + 0.149934i 0.0335042 + 0.00654988i
\(525\) −6.93355 11.2594i −0.302605 0.491400i
\(526\) −23.1035 7.68010i −1.00736 0.334868i
\(527\) 11.3318 + 2.58641i 0.493621 + 0.112666i
\(528\) 16.0172 14.5046i 0.697061 0.631231i
\(529\) 36.5463 17.5997i 1.58897 0.765206i
\(530\) 0.0174544 0.0287697i 0.000758172 0.00124967i
\(531\) −3.00005 1.44475i −0.130191 0.0626967i
\(532\) 18.3331 + 5.95966i 0.794843 + 0.258384i
\(533\) 19.0690 9.18314i 0.825969 0.397766i
\(534\) 2.23195 23.0500i 0.0965857 0.997471i
\(535\) −0.0562527 0.246459i −0.00243201 0.0106554i
\(536\) 15.5467 + 22.3385i 0.671513 + 0.964874i
\(537\) −0.192671 0.153650i −0.00831437 0.00663049i
\(538\) −0.603152 1.64077i −0.0260037 0.0707388i
\(539\) −37.8090 0.683774i −1.62855 0.0294522i
\(540\) 0.0603822 + 0.0710315i 0.00259844 + 0.00305671i
\(541\) 16.8716 21.1564i 0.725368 0.909583i −0.273261 0.961940i \(-0.588102\pi\)
0.998628 + 0.0523575i \(0.0166735\pi\)
\(542\) 12.5338 + 1.21366i 0.538373 + 0.0521310i
\(543\) −7.27964 + 1.66153i −0.312399 + 0.0713031i
\(544\) 10.1976 + 2.69368i 0.437221 + 0.115491i
\(545\) −0.341919 0.710002i −0.0146462 0.0304131i
\(546\) −17.6138 + 8.62668i −0.753803 + 0.369188i
\(547\) 17.0893 35.4864i 0.730687 1.51729i −0.120665 0.992693i \(-0.538503\pi\)
0.851352 0.524595i \(-0.175783\pi\)
\(548\) −10.2761 2.00893i −0.438975 0.0858170i
\(549\) 5.35767 + 11.1253i 0.228660 + 0.474817i
\(550\) 36.2330 + 12.0446i 1.54498 + 0.513584i
\(551\) 1.67892 7.35581i 0.0715242 0.313368i
\(552\) −20.9111 + 8.43982i −0.890037 + 0.359223i
\(553\) −5.45932 16.0664i −0.232154 0.683211i
\(554\) −3.54441 2.15038i −0.150588 0.0913609i
\(555\) 0.162829 + 0.338119i 0.00691173 + 0.0143523i
\(556\) −11.1341 21.3794i −0.472192 0.906688i
\(557\) −16.4411 −0.696631 −0.348315 0.937377i \(-0.613246\pi\)
−0.348315 + 0.937377i \(0.613246\pi\)
\(558\) 8.27460 3.04176i 0.350292 0.128768i
\(559\) −6.22081 + 27.2551i −0.263112 + 1.15277i
\(560\) 0.486549 0.0814364i 0.0205604 0.00344132i
\(561\) 2.24135 + 9.82000i 0.0946299 + 0.414601i
\(562\) 2.50659 + 3.85382i 0.105734 + 0.162564i
\(563\) 23.6382 + 29.6414i 0.996231 + 1.24923i 0.968343 + 0.249623i \(0.0803068\pi\)
0.0278882 + 0.999611i \(0.491122\pi\)
\(564\) 1.17008 + 0.228744i 0.0492694 + 0.00963188i
\(565\) 0.610356 0.139310i 0.0256779 0.00586080i
\(566\) 18.6191 + 28.6264i 0.782619 + 1.20326i
\(567\) −0.272447 2.63169i −0.0114417 0.110520i
\(568\) −3.56966 + 3.92211i −0.149780 + 0.164568i
\(569\) −22.9076 −0.960337 −0.480168 0.877176i \(-0.659424\pi\)
−0.480168 + 0.877176i \(0.659424\pi\)
\(570\) −0.0828626 0.225414i −0.00347073 0.00944154i
\(571\) 9.81062 + 2.23921i 0.410562 + 0.0937080i 0.422813 0.906217i \(-0.361043\pi\)
−0.0122513 + 0.999925i \(0.503900\pi\)
\(572\) 22.9616 51.7703i 0.960072 2.16463i
\(573\) 0.949234 0.756989i 0.0396548 0.0316237i
\(574\) 13.6549 + 6.46469i 0.569943 + 0.269831i
\(575\) −31.1528 24.8436i −1.29916 1.03605i
\(576\) 7.59785 2.50453i 0.316577 0.104355i
\(577\) −1.75522 1.39974i −0.0730708 0.0582720i 0.586273 0.810113i \(-0.300594\pi\)
−0.659344 + 0.751841i \(0.729166\pi\)
\(578\) 13.3099 13.7337i 0.553620 0.571249i
\(579\) 6.25751 + 7.84667i 0.260053 + 0.326096i
\(580\) −0.0488413 0.186799i −0.00202802 0.00775639i
\(581\) 10.6955 + 6.85609i 0.443724 + 0.284438i
\(582\) 6.17740 + 5.98678i 0.256062 + 0.248160i
\(583\) 1.19646 2.48449i 0.0495525 0.102897i
\(584\) 7.75755 26.0351i 0.321010 1.07734i
\(585\) 0.220143 + 0.106015i 0.00910180 + 0.00438320i
\(586\) 28.8528 + 9.59127i 1.19190 + 0.396212i
\(587\) 26.2199 1.08221 0.541105 0.840955i \(-0.318006\pi\)
0.541105 + 0.840955i \(0.318006\pi\)
\(588\) −12.6930 5.90662i −0.523450 0.243585i
\(589\) −22.7105 −0.935770
\(590\) 0.208301 + 0.0692435i 0.00857560 + 0.00285071i
\(591\) −9.93103 4.78253i −0.408508 0.196727i
\(592\) 32.1402 2.01720i 1.32096 0.0829064i
\(593\) −17.4668 + 36.2702i −0.717276 + 1.48944i 0.148450 + 0.988920i \(0.452572\pi\)
−0.865726 + 0.500519i \(0.833143\pi\)
\(594\) 5.48615 + 5.31686i 0.225100 + 0.218153i
\(595\) −0.0779076 + 0.216352i −0.00319390 + 0.00886958i
\(596\) 39.7701 10.3985i 1.62905 0.425939i
\(597\) 4.99223 + 6.26006i 0.204318 + 0.256207i
\(598\) −41.1309 + 42.4406i −1.68197 + 1.73553i
\(599\) −1.44658 1.15361i −0.0591057 0.0471352i 0.593491 0.804840i \(-0.297749\pi\)
−0.652597 + 0.757705i \(0.726321\pi\)
\(600\) 10.4543 + 9.51489i 0.426796 + 0.388444i
\(601\) −22.6368 18.0522i −0.923373 0.736365i 0.0414847 0.999139i \(-0.486791\pi\)
−0.964857 + 0.262774i \(0.915363\pi\)
\(602\) −17.9215 + 8.77733i −0.730424 + 0.357737i
\(603\) −7.52300 + 5.99939i −0.306360 + 0.244314i
\(604\) 23.3508 + 10.3567i 0.950130 + 0.421409i
\(605\) −0.826352 0.188609i −0.0335960 0.00766806i
\(606\) 2.55514 + 6.95083i 0.103796 + 0.282358i
\(607\) −14.8862 −0.604213 −0.302107 0.953274i \(-0.597690\pi\)
−0.302107 + 0.953274i \(0.597690\pi\)
\(608\) −20.5967 0.697454i −0.835307 0.0282855i
\(609\) −1.85643 + 5.15537i −0.0752263 + 0.208906i
\(610\) −0.443832 0.682379i −0.0179702 0.0276287i
\(611\) 3.04636 0.695313i 0.123243 0.0281293i
\(612\) −0.715469 + 3.65980i −0.0289211 + 0.147938i
\(613\) −17.9532 22.5126i −0.725122 0.909275i 0.273493 0.961874i \(-0.411821\pi\)
−0.998616 + 0.0525992i \(0.983249\pi\)
\(614\) −1.29909 1.99731i −0.0524269 0.0806050i
\(615\) −0.0418820 0.183497i −0.00168884 0.00739931i
\(616\) 39.0427 10.4853i 1.57307 0.422463i
\(617\) −2.68207 + 11.7509i −0.107976 + 0.473074i 0.891810 + 0.452410i \(0.149435\pi\)
−0.999786 + 0.0206649i \(0.993422\pi\)
\(618\) 22.7828 8.37502i 0.916460 0.336893i
\(619\) −31.9913 −1.28584 −0.642919 0.765934i \(-0.722277\pi\)
−0.642919 + 0.765934i \(0.722277\pi\)
\(620\) −0.515456 + 0.268443i −0.0207012 + 0.0107809i
\(621\) −3.45921 7.18312i −0.138813 0.288249i
\(622\) 33.0459 + 20.0488i 1.32502 + 0.803885i
\(623\) 23.3806 36.4738i 0.936726 1.46129i
\(624\) 15.5417 14.0739i 0.622165 0.563408i
\(625\) −5.55577 + 24.3414i −0.222231 + 0.973657i
\(626\) 21.8512 + 7.26378i 0.873348 + 0.290319i
\(627\) −8.53912 17.7317i −0.341020 0.708134i
\(628\) −6.96998 + 35.6531i −0.278133 + 1.42272i
\(629\) −6.51309 + 13.5246i −0.259694 + 0.539260i
\(630\) 0.0399370 + 0.169780i 0.00159113 + 0.00676419i
\(631\) 0.432844 + 0.898809i 0.0172312 + 0.0357810i 0.909407 0.415908i \(-0.136536\pi\)
−0.892176 + 0.451689i \(0.850822\pi\)
\(632\) 10.3623 + 14.8892i 0.412189 + 0.592261i
\(633\) 3.21371 0.733508i 0.127733 0.0291543i
\(634\) 24.4206 + 2.36466i 0.969865 + 0.0939127i
\(635\) −0.492540 + 0.617625i −0.0195458 + 0.0245097i
\(636\) 0.777844 0.661227i 0.0308435 0.0262194i
\(637\) −36.6864 0.663473i −1.45357 0.0262878i
\(638\) −5.45915 14.8507i −0.216130 0.587944i
\(639\) −1.46595 1.16905i −0.0579919 0.0462470i
\(640\) −0.475724 + 0.227628i −0.0188046 + 0.00899777i
\(641\) −1.09975 4.81831i −0.0434374 0.190312i 0.948554 0.316614i \(-0.102546\pi\)
−0.991992 + 0.126303i \(0.959689\pi\)
\(642\) 0.739191 7.63385i 0.0291735 0.301284i
\(643\) −10.1570 + 4.89137i −0.400555 + 0.192897i −0.623305 0.781978i \(-0.714211\pi\)
0.222751 + 0.974875i \(0.428496\pi\)
\(644\) −42.0170 3.78758i −1.65570 0.149252i
\(645\) 0.223988 + 0.107867i 0.00881951 + 0.00424725i
\(646\) 4.98280 8.21300i 0.196046 0.323136i
\(647\) −20.6885 + 9.96305i −0.813349 + 0.391688i −0.793844 0.608122i \(-0.791923\pi\)
−0.0195048 + 0.999810i \(0.506209\pi\)
\(648\) 1.05860 + 2.62286i 0.0415855 + 0.103036i
\(649\) 17.5372 + 4.00274i 0.688394 + 0.157121i
\(650\) 35.1572 + 11.6870i 1.37898 + 0.458402i
\(651\) 16.3721 + 1.99476i 0.641673 + 0.0781807i
\(652\) −0.663163 + 3.39224i −0.0259715 + 0.132850i
\(653\) −30.0701 + 14.4810i −1.17673 + 0.566685i −0.916958 0.398985i \(-0.869363\pi\)
−0.259775 + 0.965669i \(0.583648\pi\)
\(654\) −3.04882 23.7131i −0.119218 0.927254i
\(655\) 0.0182136i 0.000711665i
\(656\) −15.9403 2.60056i −0.622362 0.101535i
\(657\) 9.36391 + 2.13725i 0.365321 + 0.0833821i
\(658\) 1.75303 + 1.37908i 0.0683400 + 0.0537622i
\(659\) 16.5044 3.76703i 0.642922 0.146743i 0.111384 0.993777i \(-0.464472\pi\)
0.531537 + 0.847035i \(0.321614\pi\)
\(660\) −0.403403 0.301518i −0.0157024 0.0117366i
\(661\) −17.1836 + 13.7034i −0.668364 + 0.533002i −0.897845 0.440311i \(-0.854868\pi\)
0.229482 + 0.973313i \(0.426297\pi\)
\(662\) 11.8120 19.4693i 0.459085 0.756697i
\(663\) 2.17481 + 9.52845i 0.0844625 + 0.370054i
\(664\) −13.0160 3.87831i −0.505118 0.150508i
\(665\) 0.0543405 0.446003i 0.00210723 0.0172953i
\(666\) 1.45192 + 11.2927i 0.0562606 + 0.437583i
\(667\) 16.5116i 0.639332i
\(668\) −34.3606 + 29.2091i −1.32945 + 1.13014i
\(669\) 3.49760 15.3240i 0.135225 0.592460i
\(670\) 0.441450 0.455506i 0.0170547 0.0175977i
\(671\) −41.5911 52.1536i −1.60561 2.01337i
\(672\) 14.7870 + 2.31189i 0.570421 + 0.0891831i
\(673\) −13.2490 + 16.6138i −0.510713 + 0.640414i −0.968608 0.248592i \(-0.920032\pi\)
0.457895 + 0.889006i \(0.348604\pi\)
\(674\) −5.83048 45.3482i −0.224582 1.74675i
\(675\) −3.11609 + 3.90746i −0.119939 + 0.150398i
\(676\) 11.7384 26.4661i 0.451479 1.01793i
\(677\) 4.67935 3.73166i 0.179842 0.143419i −0.529431 0.848353i \(-0.677595\pi\)
0.709273 + 0.704934i \(0.249023\pi\)
\(678\) 18.9052 + 1.83061i 0.726051 + 0.0703040i
\(679\) 5.17784 + 15.2380i 0.198707 + 0.584780i
\(680\) 0.0160141 0.245307i 0.000614114 0.00940709i
\(681\) 13.3538 + 6.43084i 0.511718 + 0.246430i
\(682\) −39.9236 + 25.9670i −1.52875 + 0.994328i
\(683\) 7.36978 15.3035i 0.281997 0.585573i −0.711070 0.703121i \(-0.751789\pi\)
0.993067 + 0.117548i \(0.0375035\pi\)
\(684\) −0.228313 7.28263i −0.00872977 0.278458i
\(685\) 0.244040i 0.00932429i
\(686\) −16.0946 20.6631i −0.614494 0.788922i
\(687\) 11.6358i 0.443933i
\(688\) 15.8131 14.3197i 0.602869 0.545934i
\(689\) 1.16094 2.41072i 0.0442284 0.0918411i
\(690\) 0.286562 + 0.440581i 0.0109092 + 0.0167726i
\(691\) −45.7148 22.0151i −1.73907 0.837494i −0.983142 0.182845i \(-0.941469\pi\)
−0.755933 0.654649i \(-0.772816\pi\)
\(692\) 29.5791 + 13.1192i 1.12443 + 0.498716i
\(693\) 4.59844 + 13.5329i 0.174680 + 0.514071i
\(694\) −3.12545 + 32.2775i −0.118640 + 1.22524i
\(695\) −0.439244 + 0.350285i −0.0166615 + 0.0132871i
\(696\) 0.381594 5.84532i 0.0144643 0.221566i
\(697\) 4.69396 5.88604i 0.177797 0.222950i
\(698\) 23.8131 3.06168i 0.901338 0.115886i
\(699\) −6.61196 + 8.29113i −0.250087 + 0.313599i
\(700\) 9.28896 + 24.7610i 0.351090 + 0.935878i
\(701\) 23.1859 + 29.0742i 0.875719 + 1.09812i 0.994452 + 0.105191i \(0.0335453\pi\)
−0.118733 + 0.992926i \(0.537883\pi\)
\(702\) 5.32327 + 5.15900i 0.200914 + 0.194714i
\(703\) 6.52657 28.5948i 0.246154 1.07847i
\(704\) −37.0051 + 22.3240i −1.39468 + 0.841368i
\(705\) 0.0277874i 0.00104653i
\(706\) 38.8298 4.99240i 1.46138 0.187891i
\(707\) −1.67564 + 13.7529i −0.0630188 + 0.517231i
\(708\) 5.33424 + 3.98701i 0.200473 + 0.149841i
\(709\) 0.372392 + 1.63155i 0.0139855 + 0.0612743i 0.981439 0.191774i \(-0.0614240\pi\)
−0.967454 + 0.253048i \(0.918567\pi\)
\(710\) 0.105677 + 0.0641139i 0.00396599 + 0.00240615i
\(711\) −5.01428 + 3.99876i −0.188050 + 0.149965i
\(712\) −13.2258 + 44.3871i −0.495658 + 1.66348i
\(713\) 48.4541 11.0593i 1.81462 0.414176i
\(714\) −4.31350 + 5.48313i −0.161429 + 0.205201i
\(715\) −1.28687 0.293721i −0.0481264 0.0109845i
\(716\) 0.319224 + 0.375523i 0.0119299 + 0.0140340i
\(717\) 19.9555i 0.745253i
\(718\) −41.2279 + 5.30073i −1.53861 + 0.197821i
\(719\) 22.6809 10.9226i 0.845856 0.407343i 0.0398186 0.999207i \(-0.487322\pi\)
0.806038 + 0.591864i \(0.201608\pi\)
\(720\) −0.0912643 0.162594i −0.00340122 0.00605951i
\(721\) 45.0781 + 5.49226i 1.67879 + 0.204542i
\(722\) 2.55523 7.68674i 0.0950959 0.286071i
\(723\) 18.2252 + 4.15979i 0.677804 + 0.154704i
\(724\) 14.9264 0.467947i 0.554734 0.0173911i
\(725\) 9.32562 4.49098i 0.346345 0.166791i
\(726\) −21.9854 13.3385i −0.815955 0.495037i
\(727\) −6.48005 3.12063i −0.240332 0.115738i 0.309842 0.950788i \(-0.399724\pi\)
−0.550173 + 0.835051i \(0.685438\pi\)
\(728\) 37.8835 10.1739i 1.40406 0.377072i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) −0.630217 0.0610243i −0.0233254 0.00225861i
\(731\) 2.21279 + 9.69485i 0.0818429 + 0.358577i
\(732\) −6.24722 23.8931i −0.230904 0.883116i
\(733\) −15.3744 12.2607i −0.567868 0.452859i 0.296987 0.954881i \(-0.404018\pi\)
−0.864855 + 0.502022i \(0.832590\pi\)
\(734\) 7.64034 2.80861i 0.282010 0.103668i
\(735\) −0.0783486 + 0.316753i −0.00288993 + 0.0116836i
\(736\) 44.2839 8.54193i 1.63232 0.314860i
\(737\) 32.4097 40.6405i 1.19383 1.49701i
\(738\) 0.550352 5.68366i 0.0202587 0.209218i
\(739\) −24.7658 + 5.65262i −0.911023 + 0.207935i −0.652251 0.758003i \(-0.726175\pi\)
−0.258772 + 0.965938i \(0.583318\pi\)
\(740\) −0.189864 0.726156i −0.00697955 0.0266940i
\(741\) −8.28559 17.2052i −0.304379 0.632049i
\(742\) 1.85921 0.437338i 0.0682537 0.0160552i
\(743\) −17.6325 + 36.6143i −0.646874 + 1.34325i 0.277117 + 0.960836i \(0.410621\pi\)
−0.923992 + 0.382413i \(0.875093\pi\)
\(744\) −17.4090 + 2.79534i −0.638243 + 0.102482i
\(745\) −0.415697 0.863204i −0.0152300 0.0316253i
\(746\) −7.49233 + 22.5387i −0.274314 + 0.825200i
\(747\) 1.06850 4.68139i 0.0390942 0.171283i
\(748\) −0.631246 20.1352i −0.0230806 0.736216i
\(749\) 7.74336 12.0796i 0.282936 0.441381i
\(750\) 0.341864 0.563484i 0.0124831 0.0205755i
\(751\) 11.5481 + 23.9798i 0.421396 + 0.875037i 0.998303 + 0.0582276i \(0.0185449\pi\)
−0.576908 + 0.816809i \(0.695741\pi\)
\(752\) −2.20891 0.897979i −0.0805508 0.0327459i
\(753\) 15.9689 0.581938
\(754\) −5.29706 14.4098i −0.192908 0.524773i
\(755\) 0.132481 0.580439i 0.00482149 0.0211243i
\(756\) −0.475071 + 5.27013i −0.0172782 + 0.191673i
\(757\) −6.96186 30.5019i −0.253033 1.10861i −0.928533 0.371250i \(-0.878929\pi\)
0.675500 0.737360i \(-0.263928\pi\)
\(758\) −6.65057 + 4.32565i −0.241560 + 0.157115i
\(759\) 26.8535 + 33.6732i 0.974720 + 1.22226i
\(760\) 0.0761495 + 0.474248i 0.00276223 + 0.0172028i
\(761\) 8.29894 1.89418i 0.300836 0.0686639i −0.0694384 0.997586i \(-0.522121\pi\)
0.370275 + 0.928922i \(0.379264\pi\)
\(762\) −20.0910 + 13.0675i −0.727819 + 0.473386i
\(763\) 15.1539 42.0829i 0.548608 1.52350i
\(764\) −2.15367 + 1.12161i −0.0779172 + 0.0405783i
\(765\) 0.0869137 0.00314237
\(766\) 19.3083 7.09776i 0.697636 0.256453i
\(767\) 17.0165 + 3.88390i 0.614429 + 0.140239i
\(768\) −15.8744 + 2.00052i −0.572820 + 0.0721875i
\(769\) −1.66663 + 1.32909i −0.0601002 + 0.0479283i −0.653079 0.757290i \(-0.726523\pi\)
0.592979 + 0.805218i \(0.297952\pi\)
\(770\) −0.414429 0.846176i −0.0149350 0.0304941i
\(771\) 11.0211 + 8.78903i 0.396915 +