Properties

Label 588.2.x.b.139.11
Level $588$
Weight $2$
Character 588.139
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 139.11
Character \(\chi\) \(=\) 588.139
Dual form 588.2.x.b.55.11

$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{14}\right)\)

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 0.896397 0.443251i \(-0.146175\pi\)
−0.905442 + 0.424469i \(0.860461\pi\)
\(6\) −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 −0.274922 + 0.961466i \(0.588652\pi\)
−0.998536 + 0.0540831i \(0.982776\pi\)
\(12\) −0.923805 + 1.77386i −0.266680 + 0.512070i
\(13\) −4.09819 + 3.26819i −1.13663 + 0.906434i −0.996491 0.0836975i \(-0.973327\pi\)
−0.140141 + 0.990132i \(0.544756\pi\)
\(14\) −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 −0.437197 0.899366i \(-0.644029\pi\)
−0.00368123 + 0.999993i \(0.501172\pi\)
\(18\) −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 −0.686654 0.726985i \(-0.740921\pi\)
−0.934080 + 0.357063i \(0.883778\pi\)
\(24\) 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 0.999523 0.0308990i \(-0.00983703\pi\)
−0.913945 + 0.405838i \(0.866980\pi\)
\(30\) −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 0.878163 + 0.478361i \(0.158769\pi\)
−0.583645 + 0.812009i \(0.698374\pi\)
\(38\) −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 0.718212 0.695824i \(-0.244961\pi\)
−0.991815 + 0.127682i \(0.959246\pi\)
\(42\) 1.60106 + 3.38180i 0.247049 + 0.521824i
\(43\) −2.31404 + 4.80515i −0.352888 + 0.732779i −0.999550 0.0299974i \(-0.990450\pi\)
0.646662 + 0.762777i \(0.276164\pi\)
\(44\) 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 0.753985 0.656891i \(-0.228129\pi\)
−0.808199 + 0.588909i \(0.799558\pi\)
\(48\) −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 −0.966527 0.256563i \(-0.917410\pi\)
0.982130 + 0.188205i \(0.0602669\pi\)
\(54\) −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 0.228282 0.973595i \(-0.426689\pi\)
−0.618856 + 0.785505i \(0.712403\pi\)
\(60\) 0.0931823 + 0.00292130i 0.0120298 + 0.000377138i
\(61\) 12.0386 2.74773i 1.54138 0.351811i 0.634409 0.772998i \(-0.281244\pi\)
0.906974 + 0.421187i \(0.138386\pi\)
\(62\) 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 \(-0.800004\pi\)
0.809025 0.587774i \(-0.199996\pi\)
\(68\) 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 0.112667 0.993633i \(-0.464061\pi\)
−0.329611 + 0.944117i \(0.606918\pi\)
\(72\) 2.71066 0.807681i 0.319454 0.0951861i
\(73\) 7.50927 + 5.98844i 0.878894 + 0.700894i 0.955127 0.296196i \(-0.0957181\pi\)
−0.0762337 + 0.997090i \(0.524290\pi\)
\(74\) 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 \(-0.882508\pi\)
0.932648 0.360788i \(-0.117492\pi\)
\(80\) −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 −0.918504 0.395412i \(-0.870602\pi\)
0.589885 + 0.807487i \(0.299173\pi\)
\(84\) 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 −0.988271 0.152712i \(-0.951199\pi\)
−0.368794 0.929511i \(-0.620229\pi\)
\(90\) 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 \(0.0999305\pi\)
−0.951124 + 0.308809i \(0.900070\pi\)
\(98\) 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 0.982894 0.184173i \(-0.0589605\pi\)
−0.756816 + 0.653628i \(0.773246\pi\)
\(102\) 2.21043 + 1.43770i 0.218865 + 0.142354i
\(103\) −15.4641 + 7.44714i −1.52373 + 0.733788i −0.993475 0.114052i \(-0.963617\pi\)
−0.530252 + 0.847840i \(0.677903\pi\)
\(104\) −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 0.396737 0.917932i \(-0.370143\pi\)
−0.806636 + 0.591049i \(0.798714\pi\)
\(108\) 0.810878 + 1.82824i 0.0780267 + 0.175923i
\(109\) −10.5405 13.2174i −1.00960 1.26600i −0.963682 0.267051i \(-0.913951\pi\)
−0.0459163 0.998945i \(-0.514621\pi\)
\(110\) 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 0.212203 + 0.977226i \(0.431936\pi\)
−0.999944 + 0.0105709i \(0.996635\pi\)
\(114\) −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 0.586352 0.810057i \(-0.300564\pi\)
0.879755 + 0.475427i \(0.157707\pi\)
\(128\) 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 0.418442 0.908244i \(-0.362576\pi\)
−0.449199 + 0.893432i \(0.648291\pi\)
\(132\) −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 0.624389 0.781114i \(-0.285348\pi\)
−0.221399 + 0.975183i \(0.571062\pi\)
\(138\) 5.84835 + 9.63967i 0.497845 + 0.820584i
\(139\) 10.8589 5.22936i 0.921039 0.443549i 0.0875968 0.996156i \(-0.472081\pi\)
0.833442 + 0.552607i \(0.186367\pi\)
\(140\) −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 −0.946815 0.321778i \(-0.895720\pi\)
−0.103024 0.994679i \(-0.532852\pi\)
\(150\) −7.03509 + 0.681212i −0.574413 + 0.0556207i
\(151\) −12.4520 2.84209i −1.01333 0.231286i −0.316554 0.948574i \(-0.602526\pi\)
−0.696776 + 0.717288i \(0.745383\pi\)
\(152\) 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 0.306219 + 0.951961i \(0.400936\pi\)
−0.935198 + 0.354126i \(0.884778\pi\)
\(158\) −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 −0.928269 0.371909i \(-0.878703\pi\)
0.869537 + 0.493869i \(0.164418\pi\)
\(164\) 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 0.670595 + 0.741823i \(0.266039\pi\)
−0.282320 + 0.959320i \(0.591104\pi\)
\(168\) −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 −0.424154 0.905590i \(-0.639429\pi\)
−0.775070 + 0.631875i \(0.782286\pi\)
\(174\) 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 −0.231490 0.972837i \(-0.574360\pi\)
0.213533 + 0.976936i \(0.431503\pi\)
\(180\) 0.0852219 0.0377983i 0.00635206 0.00281732i
\(181\) −5.83782 4.65550i −0.433921 0.346041i 0.382041 0.924145i \(-0.375221\pi\)
−0.815963 + 0.578104i \(0.803793\pi\)
\(182\) −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 0.919158 0.393890i \(-0.128871\pi\)
−0.881041 + 0.473040i \(0.843157\pi\)
\(192\) 5.75875 + 5.55309i 0.415602 + 0.400760i
\(193\) 9.04236 4.35457i 0.650884 0.313449i −0.0791475 0.996863i \(-0.525220\pi\)
0.730031 + 0.683414i \(0.239506\pi\)
\(194\) 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 −0.160351 0.987060i \(-0.551263\pi\)
0.671737 + 0.740790i \(0.265548\pi\)
\(200\) 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 0.708174 0.706038i \(-0.249519\pi\)
−0.530753 + 0.847527i \(0.678091\pi\)
\(212\) 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 0.711883 + 0.702298i \(0.247842\pi\)
−0.946100 + 0.323874i \(0.895015\pi\)
\(224\) 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 −0.664913 0.746921i \(-0.731531\pi\)
0.998533 + 0.0541526i \(0.0172458\pi\)
\(230\) 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 −0.991514 0.129997i \(-0.958503\pi\)
0.836920 0.547325i \(-0.184354\pi\)
\(234\) 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 0.408162 + 0.912909i \(0.366170\pi\)
−0.968226 + 0.250076i \(0.919544\pi\)
\(240\) −0.152773 + 0.106894i −0.00986146 + 0.00689997i
\(241\) 18.2252 + 4.15979i 1.17399 + 0.267956i 0.764662 0.644431i \(-0.222906\pi\)
0.409329 + 0.912387i \(0.365763\pi\)
\(242\) −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 0.828818 0.559519i \(-0.189014\pi\)
0.0793098 + 0.996850i \(0.474728\pi\)
\(252\) 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 0.228774 0.973480i \(-0.426528\pi\)
0.628495 + 0.777813i \(0.283671\pi\)
\(258\) 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 \(-0.821898\pi\)
0.847509 0.530781i \(-0.178102\pi\)
\(264\) −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 0.593585 0.804771i \(-0.297712\pi\)
−0.652509 + 0.757781i \(0.726284\pi\)
\(270\) 0.0341938 + 0.0563607i 0.00208097 + 0.00343000i
\(271\) −1.98137 + 8.68095i −0.120360 + 0.527330i 0.878418 + 0.477894i \(0.158600\pi\)
−0.998777 + 0.0494363i \(0.984258\pi\)
\(272\) −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 0.951543 0.307516i \(-0.0994976\pi\)
−0.990737 + 0.135797i \(0.956640\pi\)
\(278\) −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 0.838602 0.544744i \(-0.183373\pi\)
−0.717693 + 0.696360i \(0.754802\pi\)
\(282\) −0.107505 + 0.836153i −0.00640184 + 0.0497922i
\(283\) 15.0553 + 18.8788i 0.894946 + 1.12223i 0.991911 + 0.126939i \(0.0405151\pi\)
−0.0969649 + 0.995288i \(0.530913\pi\)
\(284\) 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 \(0.216132\pi\)
−0.778202 + 0.628014i \(0.783868\pi\)
\(294\) −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 0.750952 0.660357i \(-0.229595\pi\)
−0.810903 + 0.585180i \(0.801024\pi\)
\(308\) −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 0.788662 + 0.614827i \(0.210774\pi\)
−0.443797 + 0.896127i \(0.646369\pi\)
\(312\) −12.9103 + 7.28926i −0.730903 + 0.412673i
\(313\) 16.2824i 0.920338i 0.887831 + 0.460169i \(0.152211\pi\)
−0.887831 + 0.460169i \(0.847789\pi\)
\(314\) 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 0.742982 + 0.669311i \(0.233411\pi\)
−0.959807 + 0.280660i \(0.909447\pi\)
\(318\) −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 −0.630986 0.775794i \(-0.717349\pi\)
−0.231894 + 0.972741i \(0.574492\pi\)
\(332\) 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 −0.587730 0.809057i \(-0.699978\pi\)
−0.998990 + 0.0449324i \(0.985693\pi\)
\(338\) −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 0.775432 0.631431i \(-0.217532\pi\)
0.424672 + 0.905347i \(0.360389\pi\)
\(348\) −4.00735 1.04778i −0.214816 0.0561669i
\(349\) −7.36603 + 15.2957i −0.394295 + 0.818762i 0.605444 + 0.795888i \(0.292996\pi\)
−0.999738 + 0.0228733i \(0.992719\pi\)
\(350\) 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 0.289604 + 0.957146i \(0.406476\pi\)
−0.928893 + 0.370349i \(0.879238\pi\)
\(354\) 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 −0.232134 0.972684i \(-0.574571\pi\)
0.905208 0.424969i \(-0.139715\pi\)
\(360\) −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 −0.866626 0.498959i \(-0.833716\pi\)
0.679291 + 0.733869i \(0.262287\pi\)
\(368\) −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 −0.504338 0.863506i \(-0.668263\pi\)
0.729631 + 0.683842i \(0.239692\pi\)
\(380\) 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 −0.957548 0.288274i \(-0.906919\pi\)
0.494121 + 0.869393i \(0.335490\pi\)
\(384\) 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 0.262984 0.964800i \(-0.415293\pi\)
0.918279 + 0.395934i \(0.129579\pi\)
\(390\) −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 0.876297 0.481771i \(-0.160006\pi\)
−0.923026 + 0.384737i \(0.874292\pi\)
\(398\) −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 −0.460611 + 0.887602i \(0.652370\pi\)
−0.762853 + 0.646573i \(0.776202\pi\)
\(402\) −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 0.236931 0.971527i \(-0.423859\pi\)
0.634997 + 0.772515i \(0.281001\pi\)
\(410\) 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 −0.986521 0.163636i \(-0.947678\pi\)
0.959823 + 0.280605i \(0.0905350\pi\)
\(420\) −0.230942 0.0866369i −0.0112688 0.00422745i
\(421\) −5.92496 25.9589i −0.288765 1.26516i −0.886222 0.463261i \(-0.846679\pi\)
0.597457 0.801901i \(-0.296178\pi\)
\(422\) 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 0.505593 + 0.862772i \(0.331274\pi\)
−0.989775 + 0.142641i \(0.954441\pi\)
\(432\) −3.48809 1.95787i −0.167821 0.0941981i
\(433\) −0.810188 1.68237i −0.0389351 0.0808497i 0.880594 0.473872i \(-0.157144\pi\)
−0.919529 + 0.393022i \(0.871430\pi\)
\(434\) 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 0.852417 0.522862i \(-0.175136\pi\)
−0.699434 + 0.714698i \(0.746564\pi\)
\(440\) 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 −0.694470 0.719522i \(-0.744361\pi\)
0.546948 + 0.837167i \(0.315790\pi\)
\(444\) −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 −0.173686 0.984801i \(-0.555568\pi\)
0.661657 + 0.749806i \(0.269853\pi\)
\(450\) −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 −0.375297 0.926904i \(-0.622459\pi\)
−0.958677 + 0.284496i \(0.908174\pi\)
\(458\) −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 0.295847 0.955235i \(-0.404398\pi\)
0.681010 + 0.732274i \(0.261541\pi\)
\(462\) −18.1528 8.89064i −0.844545 0.413630i
\(463\) 23.9768 + 5.47256i 1.11430 + 0.254331i 0.739754 0.672877i \(-0.234942\pi\)
0.374545 + 0.927209i \(0.377799\pi\)
\(464\) 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 −0.994576 0.104013i \(-0.966832\pi\)
0.941212 + 0.337818i \(0.109689\pi\)
\(468\) −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 0.588247 0.808681i \(-0.299818\pi\)
−0.919303 + 0.393550i \(0.871247\pi\)
\(480\) 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 0.972380 0.233404i \(-0.0749865\pi\)
−0.788752 + 0.614712i \(0.789272\pi\)
\(488\) 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 \(-0.775597\pi\)
0.761623 0.648020i \(-0.224403\pi\)
\(492\) 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 0.776343 0.630310i \(-0.217072\pi\)
−0.441754 + 0.897136i \(0.645644\pi\)
\(500\) 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 −0.909028 0.416735i \(-0.863174\pi\)
−0.204008 0.978969i \(-0.565397\pi\)
\(504\) −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 \(0.161209\pi\)
−0.874471 + 0.485078i \(0.838791\pi\)
\(510\) 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 \(0.173470\pi\)
−0.855141 + 0.518395i \(0.826530\pi\)
\(522\) 0.373495 2.90497i 0.0163475 0.127147i
\(523\) −13.4207 6.46306i −0.586846 0.282610i 0.116806 0.993155i \(-0.462734\pi\)
−0.703652 + 0.710545i \(0.748449\pi\)
\(524\) 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 0.998628 0.0523575i \(-0.0166735\pi\)
−0.273261 + 0.961940i \(0.588102\pi\)
\(542\) 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 0.851352 + 0.524595i \(0.175783\pi\)
−0.120665 + 0.992693i \(0.538503\pi\)
\(548\) −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 0.0278882 0.999611i \(-0.491122\pi\)
0.968343 0.249623i \(-0.0803068\pi\)
\(564\) 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 −0.0122513 0.999925i \(-0.503900\pi\)
0.422813 + 0.906217i \(0.361043\pi\)
\(572\) 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 −0.659344 0.751841i \(-0.729166\pi\)
0.586273 + 0.810113i \(0.300594\pi\)
\(578\) 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 −0.865726 0.500519i \(-0.833143\pi\)
0.148450 0.988920i \(-0.452572\pi\)
\(594\) 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 −0.652597 0.757705i \(-0.726321\pi\)
0.593491 + 0.804840i \(0.297749\pi\)
\(600\) 10.4543 9.51489i 0.426796 0.388444i
\(601\) −22.6368 + 18.0522i −0.923373 + 0.736365i −0.964857 0.262774i \(-0.915363\pi\)
0.0414847 + 0.999139i \(0.486791\pi\)
\(602\) −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 −0.998616 0.0525992i \(-0.983249\pi\)
0.273493 + 0.961874i \(0.411821\pi\)
\(614\) −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 −0.999786 0.0206649i \(-0.993422\pi\)
0.891810 0.452410i \(-0.149435\pi\)
\(618\) 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 −0.892176 0.451689i \(-0.850822\pi\)
0.909407 + 0.415908i \(0.136536\pi\)
\(632\) 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 −0.991992 0.126303i \(-0.959689\pi\)
0.948554 + 0.316614i \(0.102546\pi\)
\(642\) 0.739191 + 7.63385i 0.0291735 + 0.301284i
\(643\) −10.1570 4.89137i −0.400555 0.192897i 0.222751 0.974875i \(-0.428496\pi\)
−0.623305 + 0.781978i \(0.714211\pi\)
\(644\) −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 −0.0195048 0.999810i \(-0.506209\pi\)
−0.793844 + 0.608122i \(0.791923\pi\)
\(648\) 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 −0.259775 0.965669i \(-0.583648\pi\)
−0.916958 + 0.398985i \(0.869363\pi\)
\(654\) −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 0.531537 0.847035i \(-0.321614\pi\)
0.111384 + 0.993777i \(0.464472\pi\)
\(660\) −0.403403 + 0.301518i −0.0157024 + 0.0117366i
\(661\) −17.1836 13.7034i −0.668364 0.533002i 0.229482 0.973313i \(-0.426297\pi\)
−0.897845 + 0.440311i \(0.854868\pi\)
\(662\) 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 0.457895 0.889006i \(-0.348604\pi\)
−0.968608 + 0.248592i \(0.920032\pi\)
\(674\) −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 0.709273 0.704934i \(-0.249023\pi\)
−0.529431 + 0.848353i \(0.677595\pi\)
\(678\) 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 0.993067 0.117548i \(-0.0375035\pi\)
−0.711070 + 0.703121i \(0.751789\pi\)
\(684\) −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 −0.755933 + 0.654649i \(0.772816\pi\)
−0.983142 + 0.182845i \(0.941469\pi\)
\(692\) 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 −0.118733 0.992926i \(-0.537883\pi\)
0.994452 0.105191i \(-0.0335453\pi\)
\(702\) 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 −0.967454 0.253048i \(-0.918567\pi\)
0.981439 + 0.191774i \(0.0614240\pi\)
\(710\) 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 0.806038 0.591864i \(-0.201608\pi\)
0.0398186 + 0.999207i \(0.487322\pi\)
\(720\) −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 −0.550173 0.835051i \(-0.685438\pi\)
0.309842 + 0.950788i \(0.399724\pi\)
\(728\) 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 −0.864855 0.502022i \(-0.832590\pi\)
0.296987 + 0.954881i \(0.404018\pi\)
\(734\) 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 −0.258772 0.965938i \(-0.583318\pi\)
−0.652251 + 0.758003i \(0.726175\pi\)
\(740\) −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 −0.923992 0.382413i \(-0.875093\pi\)
0.277117 0.960836i \(-0.410621\pi\)
\(744\) −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 −0.576908 0.816809i \(-0.695741\pi\)
0.998303 0.0582276i \(-0.0185449\pi\)
\(752\) −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 0.675500 + 0.737360i \(0.263928\pi\)
−0.928533 + 0.371250i \(0.878929\pi\)
\(758\) −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 0.370275 0.928922i \(-0.379264\pi\)
−0.0694384 + 0.997586i \(0.522121\pi\)
\(762\) −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 0.592979 0.805218i \(-0.297952\pi\)
−0.653079 + 0.757290i \(0.726523\pi\)
\(770\) −0.414429 + 0.846176i −0.0149350 + 0.0304941i
\(771\) 11.0211 8.78903i 0.396915 0.316529i