Properties

Label 216.2.t.a.61.25
Level $216$
Weight $2$
Character 216.61
Analytic conductor $1.725$
Analytic rank $0$
Dimension $204$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 216 = 2^{3} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 216.t (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.72476868366\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 61.25
Character \(\chi\) \(=\) 216.61
Dual form 216.2.t.a.85.25

$q$-expansion

\(f(q)\) \(=\) \(q+(0.841104 + 1.13690i) q^{2} +(-1.24334 - 1.20586i) q^{3} +(-0.585087 + 1.91250i) q^{4} +(-0.528590 + 0.0932048i) q^{5} +(0.325159 - 2.42781i) q^{6} +(3.53662 + 2.96758i) q^{7} +(-2.66645 + 0.943430i) q^{8} +(0.0918112 + 2.99859i) q^{9} +O(q^{10})\) \(q+(0.841104 + 1.13690i) q^{2} +(-1.24334 - 1.20586i) q^{3} +(-0.585087 + 1.91250i) q^{4} +(-0.528590 + 0.0932048i) q^{5} +(0.325159 - 2.42781i) q^{6} +(3.53662 + 2.96758i) q^{7} +(-2.66645 + 0.943430i) q^{8} +(0.0918112 + 2.99859i) q^{9} +(-0.550564 - 0.522560i) q^{10} +(3.21180 + 0.566327i) q^{11} +(3.03367 - 1.67237i) q^{12} +(-1.23149 + 3.38349i) q^{13} +(-0.399175 + 6.51684i) q^{14} +(0.769612 + 0.521520i) q^{15} +(-3.31535 - 2.23796i) q^{16} +(-1.95280 - 3.38235i) q^{17} +(-3.33188 + 2.62651i) q^{18} +(-0.429657 - 0.248062i) q^{19} +(0.131017 - 1.06546i) q^{20} +(-0.818761 - 7.95439i) q^{21} +(2.05760 + 4.12783i) q^{22} +(5.76013 - 4.83332i) q^{23} +(4.45295 + 2.04235i) q^{24} +(-4.42774 + 1.61157i) q^{25} +(-4.88250 + 1.44579i) q^{26} +(3.50173 - 3.83900i) q^{27} +(-7.74474 + 5.02752i) q^{28} +(-0.222837 - 0.612239i) q^{29} +(0.0544077 + 1.31362i) q^{30} +(1.23894 - 1.03959i) q^{31} +(-0.244209 - 5.65158i) q^{32} +(-3.31046 - 4.57711i) q^{33} +(2.20289 - 5.06505i) q^{34} +(-2.14602 - 1.23900i) q^{35} +(-5.78854 - 1.57885i) q^{36} +(5.48132 - 3.16464i) q^{37} +(-0.0793637 - 0.697123i) q^{38} +(5.61117 - 2.72184i) q^{39} +(1.32153 - 0.747213i) q^{40} +(-6.37217 - 2.31928i) q^{41} +(8.35469 - 7.62132i) q^{42} +(-0.975843 - 0.172067i) q^{43} +(-2.96228 + 5.81123i) q^{44} +(-0.328014 - 1.57647i) q^{45} +(10.3399 + 2.48337i) q^{46} +(-3.76949 - 3.16298i) q^{47} +(1.42345 + 6.78040i) q^{48} +(2.48564 + 14.0968i) q^{49} +(-5.55638 - 3.67841i) q^{50} +(-1.65063 + 6.56022i) q^{51} +(-5.75041 - 4.33486i) q^{52} +3.01668i q^{53} +(7.30988 + 0.752120i) q^{54} -1.75051 q^{55} +(-12.2299 - 4.57634i) q^{56} +(0.235083 + 0.826532i) q^{57} +(0.508626 - 0.768300i) q^{58} +(3.23871 - 0.571073i) q^{59} +(-1.44770 + 1.16675i) q^{60} +(7.64643 - 9.11267i) q^{61} +(2.22398 + 0.534143i) q^{62} +(-8.57387 + 10.8774i) q^{63} +(6.21988 - 5.03121i) q^{64} +(0.335596 - 1.90326i) q^{65} +(2.41928 - 7.61349i) q^{66} +(-4.90853 + 13.4861i) q^{67} +(7.61131 - 1.75577i) q^{68} +(-12.9901 - 0.936415i) q^{69} +(-0.396400 - 3.48194i) q^{70} +(2.84000 + 4.91903i) q^{71} +(-3.07377 - 7.90898i) q^{72} +(7.83610 - 13.5725i) q^{73} +(8.20825 + 3.56993i) q^{74} +(7.44853 + 3.33550i) q^{75} +(0.725807 - 0.676582i) q^{76} +(9.67830 + 11.5342i) q^{77} +(7.81405 + 4.09000i) q^{78} +(7.15768 - 2.60518i) q^{79} +(1.96105 + 0.873960i) q^{80} +(-8.98314 + 0.550609i) q^{81} +(-2.72287 - 9.19529i) q^{82} +(-5.22327 - 14.3508i) q^{83} +(15.6919 + 3.08813i) q^{84} +(1.34748 + 1.60587i) q^{85} +(-0.625162 - 1.25416i) q^{86} +(-0.461211 + 1.02993i) q^{87} +(-9.09838 + 1.52002i) q^{88} +(-1.47797 + 2.55991i) q^{89} +(1.51640 - 1.69890i) q^{90} +(-14.3961 + 8.31159i) q^{91} +(5.87357 + 13.8442i) q^{92} +(-2.79402 - 0.201412i) q^{93} +(0.425458 - 6.94594i) q^{94} +(0.250233 + 0.0910774i) q^{95} +(-6.51137 + 7.32134i) q^{96} +(-0.656997 + 3.72601i) q^{97} +(-13.9360 + 14.6828i) q^{98} +(-1.40330 + 9.68287i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} - 3q^{10} + 3q^{12} - 21q^{14} - 12q^{15} - 6q^{16} - 6q^{17} - 27q^{18} + 15q^{20} - 6q^{22} - 12q^{23} - 12q^{25} - 30q^{26} - 12q^{28} - 39q^{30} - 12q^{31} - 36q^{32} - 36q^{36} - 42q^{38} - 12q^{39} - 21q^{40} - 24q^{41} - 66q^{42} + 21q^{44} - 3q^{46} - 12q^{47} + 51q^{48} - 12q^{49} - 99q^{50} - 33q^{52} - 90q^{54} - 24q^{55} + 99q^{56} - 30q^{57} + 21q^{58} + 102q^{60} - 36q^{62} - 72q^{63} - 3q^{64} - 12q^{65} - 9q^{66} + 75q^{68} + 9q^{70} - 90q^{71} + 60q^{72} - 6q^{73} + 9q^{74} - 18q^{76} + 12q^{78} - 12q^{79} + 78q^{80} - 12q^{81} - 12q^{82} + 102q^{84} - 30q^{86} - 48q^{87} - 30q^{88} - 6q^{89} + 6q^{90} + 111q^{92} - 33q^{94} - 42q^{95} + 126q^{96} - 12q^{97} + 54q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.841104 + 1.13690i 0.594751 + 0.803910i
\(3\) −1.24334 1.20586i −0.717845 0.696203i
\(4\) −0.585087 + 1.91250i −0.292544 + 0.956252i
\(5\) −0.528590 + 0.0932048i −0.236393 + 0.0416824i −0.290589 0.956848i \(-0.593851\pi\)
0.0541965 + 0.998530i \(0.482740\pi\)
\(6\) 0.325159 2.42781i 0.132746 0.991150i
\(7\) 3.53662 + 2.96758i 1.33672 + 1.12164i 0.982456 + 0.186494i \(0.0597124\pi\)
0.354262 + 0.935146i \(0.384732\pi\)
\(8\) −2.66645 + 0.943430i −0.942731 + 0.333553i
\(9\) 0.0918112 + 2.99859i 0.0306037 + 0.999532i
\(10\) −0.550564 0.522560i −0.174104 0.165248i
\(11\) 3.21180 + 0.566327i 0.968393 + 0.170754i 0.635407 0.772178i \(-0.280832\pi\)
0.332987 + 0.942932i \(0.391944\pi\)
\(12\) 3.03367 1.67237i 0.875746 0.482772i
\(13\) −1.23149 + 3.38349i −0.341554 + 0.938411i 0.643390 + 0.765538i \(0.277527\pi\)
−0.984944 + 0.172873i \(0.944695\pi\)
\(14\) −0.399175 + 6.51684i −0.106684 + 1.74170i
\(15\) 0.769612 + 0.521520i 0.198713 + 0.134656i
\(16\) −3.31535 2.23796i −0.828837 0.559491i
\(17\) −1.95280 3.38235i −0.473623 0.820340i 0.525921 0.850534i \(-0.323721\pi\)
−0.999544 + 0.0301939i \(0.990388\pi\)
\(18\) −3.33188 + 2.62651i −0.785332 + 0.619075i
\(19\) −0.429657 0.248062i −0.0985700 0.0569094i 0.449905 0.893077i \(-0.351458\pi\)
−0.548475 + 0.836167i \(0.684791\pi\)
\(20\) 0.131017 1.06546i 0.0292963 0.238245i
\(21\) −0.818761 7.95439i −0.178668 1.73579i
\(22\) 2.05760 + 4.12783i 0.438682 + 0.880057i
\(23\) 5.76013 4.83332i 1.20107 1.00782i 0.201470 0.979495i \(-0.435428\pi\)
0.999599 0.0283221i \(-0.00901640\pi\)
\(24\) 4.45295 + 2.04235i 0.908956 + 0.416893i
\(25\) −4.42774 + 1.61157i −0.885548 + 0.322313i
\(26\) −4.88250 + 1.44579i −0.957538 + 0.283542i
\(27\) 3.50173 3.83900i 0.673908 0.738815i
\(28\) −7.74474 + 5.02752i −1.46362 + 0.950111i
\(29\) −0.222837 0.612239i −0.0413797 0.113690i 0.917282 0.398239i \(-0.130378\pi\)
−0.958662 + 0.284549i \(0.908156\pi\)
\(30\) 0.0544077 + 1.31362i 0.00993344 + 0.239834i
\(31\) 1.23894 1.03959i 0.222519 0.186716i −0.524712 0.851280i \(-0.675827\pi\)
0.747232 + 0.664564i \(0.231383\pi\)
\(32\) −0.244209 5.65158i −0.0431705 0.999068i
\(33\) −3.31046 4.57711i −0.576277 0.796773i
\(34\) 2.20289 5.06505i 0.377792 0.868648i
\(35\) −2.14602 1.23900i −0.362743 0.209430i
\(36\) −5.78854 1.57885i −0.964757 0.263142i
\(37\) 5.48132 3.16464i 0.901124 0.520264i 0.0235593 0.999722i \(-0.492500\pi\)
0.877565 + 0.479458i \(0.159167\pi\)
\(38\) −0.0793637 0.697123i −0.0128745 0.113088i
\(39\) 5.61117 2.72184i 0.898507 0.435843i
\(40\) 1.32153 0.747213i 0.208952 0.118145i
\(41\) −6.37217 2.31928i −0.995166 0.362211i −0.207448 0.978246i \(-0.566516\pi\)
−0.787719 + 0.616035i \(0.788738\pi\)
\(42\) 8.35469 7.62132i 1.28916 1.17600i
\(43\) −0.975843 0.172067i −0.148815 0.0262400i 0.0987445 0.995113i \(-0.468517\pi\)
−0.247559 + 0.968873i \(0.579628\pi\)
\(44\) −2.96228 + 5.81123i −0.446581 + 0.876075i
\(45\) −0.328014 1.57647i −0.0488974 0.235006i
\(46\) 10.3399 + 2.48337i 1.52453 + 0.366152i
\(47\) −3.76949 3.16298i −0.549837 0.461368i 0.325049 0.945697i \(-0.394619\pi\)
−0.874886 + 0.484329i \(0.839064\pi\)
\(48\) 1.42345 + 6.78040i 0.205457 + 0.978666i
\(49\) 2.48564 + 14.0968i 0.355092 + 2.01383i
\(50\) −5.55638 3.67841i −0.785791 0.520206i
\(51\) −1.65063 + 6.56022i −0.231134 + 0.918615i
\(52\) −5.75041 4.33486i −0.797438 0.601138i
\(53\) 3.01668i 0.414372i 0.978302 + 0.207186i \(0.0664306\pi\)
−0.978302 + 0.207186i \(0.933569\pi\)
\(54\) 7.30988 + 0.752120i 0.994748 + 0.102351i
\(55\) −1.75051 −0.236039
\(56\) −12.2299 4.57634i −1.63429 0.611539i
\(57\) 0.235083 + 0.826532i 0.0311375 + 0.109477i
\(58\) 0.508626 0.768300i 0.0667859 0.100883i
\(59\) 3.23871 0.571073i 0.421645 0.0743473i 0.0411997 0.999151i \(-0.486882\pi\)
0.380445 + 0.924804i \(0.375771\pi\)
\(60\) −1.44770 + 1.16675i −0.186897 + 0.150627i
\(61\) 7.64643 9.11267i 0.979026 1.16676i −0.00696835 0.999976i \(-0.502218\pi\)
0.985994 0.166781i \(-0.0533374\pi\)
\(62\) 2.22398 + 0.534143i 0.282446 + 0.0678362i
\(63\) −8.57387 + 10.8774i −1.08021 + 1.37042i
\(64\) 6.21988 5.03121i 0.777485 0.628901i
\(65\) 0.335596 1.90326i 0.0416256 0.236070i
\(66\) 2.41928 7.61349i 0.297793 0.937156i
\(67\) −4.90853 + 13.4861i −0.599672 + 1.64759i 0.152257 + 0.988341i \(0.451346\pi\)
−0.751929 + 0.659244i \(0.770876\pi\)
\(68\) 7.61131 1.75577i 0.923007 0.212918i
\(69\) −12.9901 0.936415i −1.56383 0.112731i
\(70\) −0.396400 3.48194i −0.0473789 0.416172i
\(71\) 2.84000 + 4.91903i 0.337046 + 0.583781i 0.983876 0.178853i \(-0.0572388\pi\)
−0.646830 + 0.762635i \(0.723905\pi\)
\(72\) −3.07377 7.90898i −0.362248 0.932082i
\(73\) 7.83610 13.5725i 0.917146 1.58854i 0.113419 0.993547i \(-0.463820\pi\)
0.803728 0.594997i \(-0.202847\pi\)
\(74\) 8.20825 + 3.56993i 0.954190 + 0.414995i
\(75\) 7.44853 + 3.33550i 0.860082 + 0.385150i
\(76\) 0.725807 0.676582i 0.0832558 0.0776093i
\(77\) 9.67830 + 11.5342i 1.10294 + 1.31444i
\(78\) 7.81405 + 4.09000i 0.884767 + 0.463101i
\(79\) 7.15768 2.60518i 0.805302 0.293106i 0.0936200 0.995608i \(-0.470156\pi\)
0.711682 + 0.702502i \(0.247934\pi\)
\(80\) 1.96105 + 0.873960i 0.219252 + 0.0977117i
\(81\) −8.98314 + 0.550609i −0.998127 + 0.0611788i
\(82\) −2.72287 9.19529i −0.300691 1.01545i
\(83\) −5.22327 14.3508i −0.573328 1.57521i −0.799210 0.601052i \(-0.794749\pi\)
0.225882 0.974155i \(-0.427474\pi\)
\(84\) 15.6919 + 3.08813i 1.71212 + 0.336942i
\(85\) 1.34748 + 1.60587i 0.146155 + 0.174181i
\(86\) −0.625162 1.25416i −0.0674129 0.135240i
\(87\) −0.461211 + 1.02993i −0.0494470 + 0.110420i
\(88\) −9.09838 + 1.52002i −0.969890 + 0.162035i
\(89\) −1.47797 + 2.55991i −0.156664 + 0.271350i −0.933664 0.358151i \(-0.883407\pi\)
0.777000 + 0.629501i \(0.216741\pi\)
\(90\) 1.51640 1.69890i 0.159842 0.179079i
\(91\) −14.3961 + 8.31159i −1.50912 + 0.871291i
\(92\) 5.87357 + 13.8442i 0.612362 + 1.44336i
\(93\) −2.79402 0.201412i −0.289727 0.0208854i
\(94\) 0.425458 6.94594i 0.0438827 0.716419i
\(95\) 0.250233 + 0.0910774i 0.0256734 + 0.00934434i
\(96\) −6.51137 + 7.32134i −0.664564 + 0.747231i
\(97\) −0.656997 + 3.72601i −0.0667079 + 0.378319i 0.933116 + 0.359574i \(0.117078\pi\)
−0.999824 + 0.0187449i \(0.994033\pi\)
\(98\) −13.9360 + 14.6828i −1.40774 + 1.48319i
\(99\) −1.40330 + 9.68287i −0.141037 + 0.973165i
\(100\) −0.491513 9.41098i −0.0491513 0.941098i
\(101\) −7.01349 + 8.35836i −0.697869 + 0.831687i −0.992283 0.123990i \(-0.960431\pi\)
0.294415 + 0.955678i \(0.404875\pi\)
\(102\) −8.84667 + 3.64123i −0.875951 + 0.360535i
\(103\) −0.992120 5.62659i −0.0977565 0.554405i −0.993868 0.110575i \(-0.964731\pi\)
0.896111 0.443829i \(-0.146380\pi\)
\(104\) 0.0916177 10.1837i 0.00898385 0.998596i
\(105\) 1.17418 + 4.12830i 0.114588 + 0.402881i
\(106\) −3.42966 + 2.53734i −0.333118 + 0.246448i
\(107\) 10.9720i 1.06070i −0.847778 0.530352i \(-0.822060\pi\)
0.847778 0.530352i \(-0.177940\pi\)
\(108\) 5.29328 + 8.94322i 0.509346 + 0.860562i
\(109\) 10.8514i 1.03938i 0.854356 + 0.519688i \(0.173952\pi\)
−0.854356 + 0.519688i \(0.826048\pi\)
\(110\) −1.47236 1.99016i −0.140384 0.189754i
\(111\) −10.6313 2.67496i −1.00908 0.253896i
\(112\) −5.08380 17.7534i −0.480374 1.67754i
\(113\) −0.590124 3.34676i −0.0555142 0.314837i 0.944388 0.328834i \(-0.106656\pi\)
−0.999902 + 0.0139970i \(0.995544\pi\)
\(114\) −0.741956 + 0.962466i −0.0694905 + 0.0901432i
\(115\) −2.59426 + 3.09172i −0.241916 + 0.288304i
\(116\) 1.30129 0.0679631i 0.120822 0.00631022i
\(117\) −10.2588 3.38210i −0.948424 0.312675i
\(118\) 3.37335 + 3.20176i 0.310542 + 0.294746i
\(119\) 3.13107 17.7572i 0.287025 1.62780i
\(120\) −2.54415 0.664530i −0.232248 0.0606630i
\(121\) −0.341702 0.124369i −0.0310639 0.0113063i
\(122\) 16.7916 + 1.02854i 1.52024 + 0.0931192i
\(123\) 5.12608 + 10.5676i 0.462203 + 0.952849i
\(124\) 1.26334 + 2.97772i 0.113451 + 0.267407i
\(125\) 4.51443 2.60641i 0.403783 0.233124i
\(126\) −19.5780 0.598644i −1.74415 0.0533315i
\(127\) −0.235764 + 0.408356i −0.0209207 + 0.0362357i −0.876296 0.481773i \(-0.839993\pi\)
0.855376 + 0.518008i \(0.173326\pi\)
\(128\) 10.9516 + 2.83962i 0.967990 + 0.250989i
\(129\) 1.00582 + 1.39067i 0.0885575 + 0.122441i
\(130\) 2.44609 1.21930i 0.214536 0.106940i
\(131\) 8.89337 + 10.5987i 0.777017 + 0.926013i 0.998795 0.0490841i \(-0.0156302\pi\)
−0.221777 + 0.975097i \(0.571186\pi\)
\(132\) 10.6907 3.65326i 0.930502 0.317976i
\(133\) −0.783389 2.15234i −0.0679285 0.186632i
\(134\) −19.4609 + 5.76268i −1.68117 + 0.497820i
\(135\) −1.49317 + 2.35564i −0.128511 + 0.202741i
\(136\) 8.39804 + 7.17652i 0.720126 + 0.615382i
\(137\) −10.3040 + 3.75036i −0.880332 + 0.320415i −0.742344 0.670019i \(-0.766286\pi\)
−0.137988 + 0.990434i \(0.544064\pi\)
\(138\) −9.86143 15.5561i −0.839461 1.32422i
\(139\) −1.01062 1.20441i −0.0857193 0.102156i 0.721480 0.692435i \(-0.243462\pi\)
−0.807199 + 0.590279i \(0.799018\pi\)
\(140\) 3.62521 3.37934i 0.306386 0.285607i
\(141\) 0.872672 + 8.47815i 0.0734923 + 0.713989i
\(142\) −3.20371 + 7.36622i −0.268849 + 0.618159i
\(143\) −5.87145 + 10.1697i −0.490996 + 0.850429i
\(144\) 6.40636 10.1468i 0.533863 0.845571i
\(145\) 0.174853 + 0.302854i 0.0145207 + 0.0251507i
\(146\) 22.0216 2.50704i 1.82252 0.207484i
\(147\) 13.9082 20.5245i 1.14713 1.69283i
\(148\) 2.84534 + 12.3346i 0.233886 + 1.01390i
\(149\) −2.56998 + 7.06096i −0.210541 + 0.578456i −0.999345 0.0361885i \(-0.988478\pi\)
0.788804 + 0.614645i \(0.210701\pi\)
\(150\) 2.47286 + 11.2737i 0.201908 + 0.920497i
\(151\) −1.19497 + 6.77702i −0.0972455 + 0.551506i 0.896791 + 0.442455i \(0.145892\pi\)
−0.994036 + 0.109051i \(0.965219\pi\)
\(152\) 1.37969 + 0.256094i 0.111907 + 0.0207720i
\(153\) 9.96300 6.16619i 0.805461 0.498507i
\(154\) −4.97273 + 20.7047i −0.400714 + 1.66843i
\(155\) −0.557995 + 0.664992i −0.0448192 + 0.0534135i
\(156\) 1.92251 + 12.3239i 0.153924 + 0.986702i
\(157\) 5.91336 1.04268i 0.471937 0.0832153i 0.0673790 0.997727i \(-0.478536\pi\)
0.404558 + 0.914512i \(0.367425\pi\)
\(158\) 8.98219 + 5.94634i 0.714584 + 0.473065i
\(159\) 3.63768 3.75077i 0.288487 0.297455i
\(160\) 0.655841 + 2.96461i 0.0518488 + 0.234373i
\(161\) 34.7147 2.73590
\(162\) −8.18175 9.74982i −0.642819 0.766018i
\(163\) 23.2811i 1.82351i −0.410732 0.911756i \(-0.634727\pi\)
0.410732 0.911756i \(-0.365273\pi\)
\(164\) 8.16391 10.8298i 0.637495 0.845668i
\(165\) 2.17649 + 2.11087i 0.169439 + 0.164331i
\(166\) 11.9221 18.0089i 0.925337 1.39776i
\(167\) 3.63941 + 20.6401i 0.281626 + 1.59718i 0.717095 + 0.696975i \(0.245471\pi\)
−0.435469 + 0.900204i \(0.643418\pi\)
\(168\) 9.68759 + 20.4375i 0.747414 + 1.57679i
\(169\) 0.0271444 + 0.0227769i 0.00208803 + 0.00175207i
\(170\) −0.692338 + 2.88265i −0.0530999 + 0.221089i
\(171\) 0.704391 1.31114i 0.0538661 0.100265i
\(172\) 0.900033 1.76563i 0.0686268 0.134628i
\(173\) −6.07203 1.07066i −0.461648 0.0814009i −0.0620128 0.998075i \(-0.519752\pi\)
−0.399635 + 0.916674i \(0.630863\pi\)
\(174\) −1.55886 + 0.341931i −0.118177 + 0.0259217i
\(175\) −20.4417 7.44018i −1.54525 0.562424i
\(176\) −9.38080 9.06545i −0.707105 0.683334i
\(177\) −4.71547 3.19539i −0.354436 0.240180i
\(178\) −4.15349 + 0.472853i −0.311317 + 0.0354418i
\(179\) 17.5322 10.1222i 1.31041 0.756568i 0.328250 0.944591i \(-0.393541\pi\)
0.982165 + 0.188023i \(0.0602078\pi\)
\(180\) 3.20693 + 0.295045i 0.239030 + 0.0219914i
\(181\) −13.8486 7.99549i −1.02936 0.594300i −0.112557 0.993645i \(-0.535904\pi\)
−0.916801 + 0.399345i \(0.869237\pi\)
\(182\) −21.5581 9.37602i −1.59799 0.694997i
\(183\) −20.4957 + 2.10967i −1.51509 + 0.155951i
\(184\) −10.7992 + 18.3221i −0.796126 + 1.35072i
\(185\) −2.60242 + 2.18369i −0.191333 + 0.160548i
\(186\) −2.12108 3.34593i −0.155525 0.245336i
\(187\) −4.35648 11.9693i −0.318578 0.875284i
\(188\) 8.25469 5.35855i 0.602035 0.390813i
\(189\) 23.7768 3.18544i 1.72951 0.231706i
\(190\) 0.106926 + 0.361096i 0.00775724 + 0.0261966i
\(191\) 4.78680 1.74225i 0.346361 0.126065i −0.162981 0.986629i \(-0.552111\pi\)
0.509342 + 0.860564i \(0.329889\pi\)
\(192\) −13.8004 1.24477i −0.995957 0.0898334i
\(193\) 7.42183 6.22766i 0.534235 0.448277i −0.335326 0.942102i \(-0.608846\pi\)
0.869561 + 0.493826i \(0.164402\pi\)
\(194\) −4.78871 + 2.38703i −0.343809 + 0.171378i
\(195\) −2.71232 + 1.96173i −0.194234 + 0.140482i
\(196\) −28.4145 3.49404i −2.02961 0.249574i
\(197\) −9.25222 5.34177i −0.659194 0.380586i 0.132776 0.991146i \(-0.457611\pi\)
−0.791970 + 0.610560i \(0.790944\pi\)
\(198\) −12.1888 + 6.54889i −0.866220 + 0.465409i
\(199\) −2.67611 4.63515i −0.189704 0.328577i 0.755447 0.655209i \(-0.227420\pi\)
−0.945152 + 0.326632i \(0.894086\pi\)
\(200\) 10.2859 8.47442i 0.727326 0.599232i
\(201\) 22.3653 10.8488i 1.57753 0.765218i
\(202\) −15.4017 0.943398i −1.08366 0.0663772i
\(203\) 1.02878 2.82655i 0.0722061 0.198385i
\(204\) −11.5807 6.99514i −0.810811 0.489758i
\(205\) 3.58444 + 0.632033i 0.250348 + 0.0441431i
\(206\) 5.56240 5.86049i 0.387551 0.408320i
\(207\) 15.0220 + 16.8285i 1.04410 + 1.16966i
\(208\) 11.6549 8.46141i 0.808125 0.586693i
\(209\) −1.23949 1.04005i −0.0857370 0.0719419i
\(210\) −3.70587 + 4.80726i −0.255729 + 0.331732i
\(211\) −6.14229 + 1.08305i −0.422853 + 0.0745603i −0.381025 0.924565i \(-0.624429\pi\)
−0.0418271 + 0.999125i \(0.513318\pi\)
\(212\) −5.76941 1.76502i −0.396244 0.121222i
\(213\) 2.40055 9.54069i 0.164483 0.653717i
\(214\) 12.4741 9.22860i 0.852711 0.630854i
\(215\) 0.531859 0.0362725
\(216\) −5.71535 + 13.5401i −0.388880 + 0.921288i
\(217\) 7.46672 0.506874
\(218\) −12.3370 + 9.12717i −0.835566 + 0.618170i
\(219\) −26.1095 + 7.42610i −1.76432 + 0.501809i
\(220\) 1.02420 3.34786i 0.0690516 0.225713i
\(221\) 13.8490 2.44195i 0.931584 0.164263i
\(222\) −5.90086 14.3366i −0.396040 0.962212i
\(223\) −3.33662 2.79976i −0.223437 0.187486i 0.524197 0.851597i \(-0.324366\pi\)
−0.747634 + 0.664111i \(0.768810\pi\)
\(224\) 15.9078 20.7122i 1.06289 1.38389i
\(225\) −5.23895 13.1290i −0.349263 0.875270i
\(226\) 3.30858 3.48589i 0.220083 0.231878i
\(227\) −8.75242 1.54329i −0.580919 0.102432i −0.124536 0.992215i \(-0.539744\pi\)
−0.456383 + 0.889783i \(0.650855\pi\)
\(228\) −1.71829 0.0339958i −0.113797 0.00225142i
\(229\) −5.45148 + 14.9778i −0.360244 + 0.989762i 0.618699 + 0.785628i \(0.287660\pi\)
−0.978943 + 0.204134i \(0.934562\pi\)
\(230\) −5.69702 0.348958i −0.375650 0.0230096i
\(231\) 1.87509 26.0116i 0.123372 1.71144i
\(232\) 1.17179 + 1.42227i 0.0769316 + 0.0933767i
\(233\) 5.28886 + 9.16058i 0.346485 + 0.600129i 0.985622 0.168963i \(-0.0540419\pi\)
−0.639138 + 0.769092i \(0.720709\pi\)
\(234\) −4.78359 14.5079i −0.312713 0.948412i
\(235\) 2.28732 + 1.32059i 0.149208 + 0.0861456i
\(236\) −0.802751 + 6.52818i −0.0522546 + 0.424948i
\(237\) −12.0409 5.39201i −0.782143 0.350248i
\(238\) 22.8217 11.3759i 1.47931 0.737392i
\(239\) −18.6662 + 15.6628i −1.20742 + 1.01314i −0.208031 + 0.978122i \(0.566706\pi\)
−0.999387 + 0.0350216i \(0.988850\pi\)
\(240\) −1.38439 3.45138i −0.0893618 0.222786i
\(241\) −11.3590 + 4.13433i −0.731696 + 0.266316i −0.680883 0.732392i \(-0.738404\pi\)
−0.0508137 + 0.998708i \(0.516181\pi\)
\(242\) −0.146012 0.493089i −0.00938598 0.0316970i
\(243\) 11.8331 + 10.1478i 0.759093 + 0.650982i
\(244\) 12.9542 + 19.9555i 0.829306 + 1.27752i
\(245\) −2.62777 7.21975i −0.167882 0.461253i
\(246\) −7.70275 + 14.7163i −0.491109 + 0.938277i
\(247\) 1.36843 1.14825i 0.0870714 0.0730615i
\(248\) −2.32278 + 3.94086i −0.147496 + 0.250245i
\(249\) −10.8107 + 24.1415i −0.685102 + 1.52991i
\(250\) 6.76033 + 2.94020i 0.427561 + 0.185955i
\(251\) −18.3953 10.6206i −1.16110 0.670363i −0.209535 0.977801i \(-0.567195\pi\)
−0.951568 + 0.307438i \(0.900528\pi\)
\(252\) −15.7865 22.7618i −0.994459 1.43386i
\(253\) 21.2376 12.2615i 1.33520 0.770876i
\(254\) −0.662563 + 0.0754292i −0.0415729 + 0.00473285i
\(255\) 0.261063 3.62152i 0.0163484 0.226788i
\(256\) 5.98304 + 14.8392i 0.373940 + 0.927453i
\(257\) −7.46449 2.71685i −0.465622 0.169473i 0.0985460 0.995132i \(-0.468581\pi\)
−0.564168 + 0.825660i \(0.690803\pi\)
\(258\) −0.735051 + 2.31321i −0.0457623 + 0.144014i
\(259\) 28.7767 + 5.07411i 1.78810 + 0.315290i
\(260\) 3.44364 + 1.75540i 0.213566 + 0.108865i
\(261\) 1.81540 0.724408i 0.112370 0.0448397i
\(262\) −4.56943 + 19.0255i −0.282300 + 1.17540i
\(263\) 1.51853 + 1.27420i 0.0936365 + 0.0785703i 0.688404 0.725327i \(-0.258312\pi\)
−0.594768 + 0.803898i \(0.702756\pi\)
\(264\) 13.1454 + 9.08144i 0.809040 + 0.558924i
\(265\) −0.281169 1.59459i −0.0172720 0.0979546i
\(266\) 1.78809 2.70098i 0.109635 0.165608i
\(267\) 4.92452 1.40064i 0.301375 0.0857175i
\(268\) −22.9202 17.2781i −1.40008 1.05543i
\(269\) 10.8443i 0.661189i 0.943773 + 0.330594i \(0.107249\pi\)
−0.943773 + 0.330594i \(0.892751\pi\)
\(270\) −3.93403 + 0.283752i −0.239418 + 0.0172686i
\(271\) 10.0732 0.611902 0.305951 0.952047i \(-0.401026\pi\)
0.305951 + 0.952047i \(0.401026\pi\)
\(272\) −1.09536 + 15.5839i −0.0664163 + 0.944915i
\(273\) 27.9219 + 7.02548i 1.68991 + 0.425201i
\(274\) −12.9305 8.56021i −0.781163 0.517141i
\(275\) −15.1337 + 2.66848i −0.912595 + 0.160915i
\(276\) 9.39125 24.2958i 0.565287 1.46243i
\(277\) 15.2273 18.1472i 0.914919 1.09036i −0.0806889 0.996739i \(-0.525712\pi\)
0.995608 0.0936189i \(-0.0298435\pi\)
\(278\) 0.519256 2.16200i 0.0311429 0.129668i
\(279\) 3.23106 + 3.61962i 0.193438 + 0.216701i
\(280\) 6.89116 + 1.27912i 0.411826 + 0.0764422i
\(281\) −2.96256 + 16.8015i −0.176732 + 1.00229i 0.759394 + 0.650630i \(0.225495\pi\)
−0.936126 + 0.351664i \(0.885616\pi\)
\(282\) −8.90481 + 8.12315i −0.530273 + 0.483726i
\(283\) 1.72127 4.72914i 0.102319 0.281118i −0.877961 0.478731i \(-0.841097\pi\)
0.980280 + 0.197613i \(0.0633190\pi\)
\(284\) −11.0693 + 2.55346i −0.656843 + 0.151520i
\(285\) −0.201299 0.414986i −0.0119239 0.0245817i
\(286\) −16.5004 + 1.87848i −0.975689 + 0.111077i
\(287\) −15.6533 27.1124i −0.923987 1.60039i
\(288\) 16.9244 1.25116i 0.997279 0.0737255i
\(289\) 0.873152 1.51234i 0.0513619 0.0889614i
\(290\) −0.197246 + 0.453523i −0.0115827 + 0.0266318i
\(291\) 5.30992 3.84047i 0.311273 0.225133i
\(292\) 21.3727 + 22.9277i 1.25074 + 1.34174i
\(293\) −11.6931 13.9353i −0.683117 0.814108i 0.307388 0.951584i \(-0.400545\pi\)
−0.990505 + 0.137477i \(0.956101\pi\)
\(294\) 35.0326 1.45098i 2.04314 0.0846228i
\(295\) −1.65873 + 0.603727i −0.0965748 + 0.0351503i
\(296\) −11.6300 + 13.6096i −0.675982 + 0.791042i
\(297\) 13.4210 10.3470i 0.778763 0.600392i
\(298\) −10.1892 + 3.01719i −0.590246 + 0.174781i
\(299\) 9.25995 + 25.4415i 0.535517 + 1.47132i
\(300\) −10.7372 + 12.2938i −0.619912 + 0.709782i
\(301\) −2.94057 3.50443i −0.169491 0.201992i
\(302\) −8.70990 + 4.34162i −0.501199 + 0.249832i
\(303\) 18.7992 1.93504i 1.07998 0.111165i
\(304\) 0.869306 + 1.78397i 0.0498581 + 0.102318i
\(305\) −3.19249 + 5.52955i −0.182801 + 0.316621i
\(306\) 15.3903 + 6.14053i 0.879803 + 0.351031i
\(307\) −4.06142 + 2.34486i −0.231797 + 0.133828i −0.611401 0.791321i \(-0.709394\pi\)
0.379604 + 0.925149i \(0.376060\pi\)
\(308\) −27.7218 + 11.7613i −1.57959 + 0.670163i
\(309\) −5.55133 + 8.19215i −0.315804 + 0.466035i
\(310\) −1.22536 0.0750569i −0.0695959 0.00426294i
\(311\) 23.8183 + 8.66914i 1.35061 + 0.491582i 0.913138 0.407650i \(-0.133652\pi\)
0.437472 + 0.899232i \(0.355874\pi\)
\(312\) −12.3940 + 12.5514i −0.701674 + 0.710583i
\(313\) −0.898635 + 5.09641i −0.0507938 + 0.288066i −0.999615 0.0277478i \(-0.991166\pi\)
0.948821 + 0.315814i \(0.102278\pi\)
\(314\) 6.15918 + 5.84590i 0.347583 + 0.329903i
\(315\) 3.51824 6.54880i 0.198231 0.368983i
\(316\) 0.794556 + 15.2133i 0.0446973 + 0.855818i
\(317\) −8.10759 + 9.66225i −0.455368 + 0.542686i −0.944062 0.329769i \(-0.893029\pi\)
0.488694 + 0.872455i \(0.337473\pi\)
\(318\) 7.32392 + 0.980899i 0.410705 + 0.0550061i
\(319\) −0.368979 2.09259i −0.0206589 0.117162i
\(320\) −2.81884 + 3.23917i −0.157578 + 0.181075i
\(321\) −13.2307 + 13.6420i −0.738465 + 0.761421i
\(322\) 29.1987 + 39.4671i 1.62718 + 2.19942i
\(323\) 1.93766i 0.107814i
\(324\) 4.20288 17.5025i 0.233493 0.972358i
\(325\) 16.9658i 0.941096i
\(326\) 26.4682 19.5818i 1.46594 1.08454i
\(327\) 13.0853 13.4920i 0.723617 0.746112i
\(328\) 19.1791 + 0.172545i 1.05899 + 0.00952720i
\(329\) −3.94488 22.3725i −0.217488 1.23344i
\(330\) −0.569194 + 4.24991i −0.0313331 + 0.233950i
\(331\) −8.45285 + 10.0737i −0.464611 + 0.553701i −0.946573 0.322491i \(-0.895480\pi\)
0.481962 + 0.876192i \(0.339924\pi\)
\(332\) 30.5021 1.59305i 1.67402 0.0874299i
\(333\) 9.99273 + 16.1457i 0.547598 + 0.884780i
\(334\) −20.4046 + 21.4981i −1.11649 + 1.17632i
\(335\) 1.33764 7.58611i 0.0730828 0.414473i
\(336\) −15.0872 + 28.2039i −0.823072 + 1.53865i
\(337\) −12.3641 4.50015i −0.673513 0.245139i −0.0174532 0.999848i \(-0.505556\pi\)
−0.656060 + 0.754709i \(0.727778\pi\)
\(338\) −0.00306376 + 0.0500183i −0.000166647 + 0.00272064i
\(339\) −3.30199 + 4.87278i −0.179340 + 0.264653i
\(340\) −3.85962 + 1.63749i −0.209317 + 0.0888055i
\(341\) 4.56796 2.63731i 0.247369 0.142818i
\(342\) 2.08310 0.301983i 0.112641 0.0163294i
\(343\) −16.8840 + 29.2439i −0.911649 + 1.57902i
\(344\) 2.76437 0.461830i 0.149045 0.0249002i
\(345\) 6.95373 0.715761i 0.374376 0.0385353i
\(346\) −3.88997 7.80383i −0.209126 0.419537i
\(347\) −14.5614 17.3536i −0.781698 0.931591i 0.217311 0.976102i \(-0.430271\pi\)
−0.999009 + 0.0445115i \(0.985827\pi\)
\(348\) −1.69990 1.48467i −0.0911244 0.0795866i
\(349\) 9.93430 + 27.2943i 0.531771 + 1.46103i 0.856962 + 0.515380i \(0.172349\pi\)
−0.325191 + 0.945648i \(0.605428\pi\)
\(350\) −8.73487 29.4982i −0.466899 1.57674i
\(351\) 8.67687 + 16.5757i 0.463137 + 0.884748i
\(352\) 2.41629 18.2900i 0.128789 0.974862i
\(353\) −6.27092 + 2.28243i −0.333767 + 0.121481i −0.503467 0.864014i \(-0.667942\pi\)
0.169700 + 0.985496i \(0.445720\pi\)
\(354\) −0.333360 8.04868i −0.0177179 0.427782i
\(355\) −1.95967 2.33545i −0.104009 0.123953i
\(356\) −4.03111 4.32439i −0.213648 0.229192i
\(357\) −25.3056 + 18.3027i −1.33932 + 0.968680i
\(358\) 26.2543 + 11.4185i 1.38758 + 0.603486i
\(359\) −12.8148 + 22.1959i −0.676339 + 1.17145i 0.299737 + 0.954022i \(0.403101\pi\)
−0.976076 + 0.217431i \(0.930232\pi\)
\(360\) 2.36192 + 3.89412i 0.124484 + 0.205238i
\(361\) −9.37693 16.2413i −0.493523 0.854806i
\(362\) −2.55803 22.4695i −0.134447 1.18097i
\(363\) 0.274882 + 0.566679i 0.0144276 + 0.0297429i
\(364\) −7.47298 32.3956i −0.391691 1.69799i
\(365\) −2.87707 + 7.90467i −0.150592 + 0.413749i
\(366\) −19.6375 21.5272i −1.02647 1.12524i
\(367\) 1.41593 8.03017i 0.0739112 0.419171i −0.925292 0.379256i \(-0.876180\pi\)
0.999203 0.0399154i \(-0.0127089\pi\)
\(368\) −29.9136 + 3.13317i −1.55935 + 0.163328i
\(369\) 6.36955 19.3205i 0.331585 1.00579i
\(370\) −4.67154 1.12198i −0.242862 0.0583290i
\(371\) −8.95223 + 10.6688i −0.464777 + 0.553899i
\(372\) 2.01995 5.22574i 0.104729 0.270942i
\(373\) −2.11412 + 0.372777i −0.109465 + 0.0193017i −0.228112 0.973635i \(-0.573255\pi\)
0.118647 + 0.992936i \(0.462144\pi\)
\(374\) 9.94369 15.0203i 0.514176 0.776684i
\(375\) −8.75595 2.20310i −0.452155 0.113768i
\(376\) 13.0352 + 4.87767i 0.672239 + 0.251547i
\(377\) 2.34593 0.120821
\(378\) 23.6203 + 24.3526i 1.21490 + 1.25256i
\(379\) 15.6848i 0.805674i 0.915272 + 0.402837i \(0.131976\pi\)
−0.915272 + 0.402837i \(0.868024\pi\)
\(380\) −0.320594 + 0.425283i −0.0164461 + 0.0218166i
\(381\) 0.785556 0.223429i 0.0402453 0.0114466i
\(382\) 6.00697 + 3.97670i 0.307343 + 0.203466i
\(383\) 0.108638 + 0.616115i 0.00555113 + 0.0314820i 0.987458 0.157885i \(-0.0504675\pi\)
−0.981906 + 0.189367i \(0.939356\pi\)
\(384\) −10.1924 16.7366i −0.520128 0.854088i
\(385\) −6.19090 5.19478i −0.315517 0.264750i
\(386\) 13.3228 + 3.19978i 0.678111 + 0.162865i
\(387\) 0.426367 2.94195i 0.0216735 0.149548i
\(388\) −6.74162 3.43655i −0.342254 0.174464i
\(389\) −9.02471 1.59130i −0.457571 0.0806821i −0.0598882 0.998205i \(-0.519074\pi\)
−0.397683 + 0.917523i \(0.630186\pi\)
\(390\) −4.51164 1.43363i −0.228456 0.0725945i
\(391\) −27.5963 10.0442i −1.39561 0.507959i
\(392\) −19.9272 35.2433i −1.00647 1.78006i
\(393\) 1.72302 23.9020i 0.0869146 1.20570i
\(394\) −1.70902 15.0119i −0.0860991 0.756286i
\(395\) −3.54066 + 2.04420i −0.178150 + 0.102855i
\(396\) −17.6975 8.34915i −0.889332 0.419561i
\(397\) 1.59689 + 0.921968i 0.0801459 + 0.0462722i 0.539537 0.841962i \(-0.318599\pi\)
−0.459392 + 0.888234i \(0.651932\pi\)
\(398\) 3.01882 6.94111i 0.151320 0.347927i
\(399\) −1.62140 + 3.62076i −0.0811715 + 0.181265i
\(400\) 18.2861 + 4.56623i 0.914306 + 0.228311i
\(401\) −23.3364 + 19.5816i −1.16537 + 0.977858i −0.999965 0.00836797i \(-0.997336\pi\)
−0.165401 + 0.986226i \(0.552892\pi\)
\(402\) 31.1456 + 16.3021i 1.55340 + 0.813075i
\(403\) 1.99171 + 5.47217i 0.0992140 + 0.272588i
\(404\) −11.8819 18.3037i −0.591146 0.910643i
\(405\) 4.69708 1.12832i 0.233400 0.0560666i
\(406\) 4.07881 1.20780i 0.202428 0.0599421i
\(407\) 19.3971 7.05998i 0.961480 0.349950i
\(408\) −1.78779 19.0497i −0.0885088 0.943103i
\(409\) −20.2699 + 17.0085i −1.00228 + 0.841015i −0.987299 0.158873i \(-0.949214\pi\)
−0.0149837 + 0.999888i \(0.504770\pi\)
\(410\) 2.29633 + 4.60676i 0.113408 + 0.227512i
\(411\) 17.3339 + 7.76221i 0.855016 + 0.382881i
\(412\) 11.3414 + 1.39461i 0.558749 + 0.0687077i
\(413\) 13.1488 + 7.59147i 0.647011 + 0.373552i
\(414\) −6.49729 + 31.2331i −0.319325 + 1.53502i
\(415\) 4.09853 + 7.09887i 0.201189 + 0.348470i
\(416\) 19.4228 + 6.13358i 0.952281 + 0.300724i
\(417\) −0.195798 + 2.71615i −0.00958828 + 0.133010i
\(418\) 0.139899 2.28396i 0.00684270 0.111712i
\(419\) −10.2786 + 28.2402i −0.502142 + 1.37962i 0.387036 + 0.922064i \(0.373499\pi\)
−0.889179 + 0.457560i \(0.848723\pi\)
\(420\) −8.58240 0.169800i −0.418778 0.00828537i
\(421\) −26.1531 4.61150i −1.27463 0.224751i −0.504929 0.863161i \(-0.668481\pi\)
−0.769697 + 0.638410i \(0.779593\pi\)
\(422\) −6.39763 6.07221i −0.311432 0.295591i
\(423\) 9.13841 11.5936i 0.444325 0.563699i
\(424\) −2.84602 8.04381i −0.138215 0.390642i
\(425\) 14.0974 + 11.8291i 0.683823 + 0.573795i
\(426\) 12.8659 5.29552i 0.623356 0.256569i
\(427\) 54.0851 9.53667i 2.61736 0.461512i
\(428\) 20.9840 + 6.41958i 1.01430 + 0.310302i
\(429\) 19.5634 5.56424i 0.944530 0.268644i
\(430\) 0.447349 + 0.604671i 0.0215731 + 0.0291598i
\(431\) 7.75377 0.373486 0.186743 0.982409i \(-0.440207\pi\)
0.186743 + 0.982409i \(0.440207\pi\)
\(432\) −20.2010 + 4.89087i −0.971920 + 0.235312i
\(433\) 4.34697 0.208902 0.104451 0.994530i \(-0.466691\pi\)
0.104451 + 0.994530i \(0.466691\pi\)
\(434\) 6.28029 + 8.48892i 0.301463 + 0.407481i
\(435\) 0.147797 0.587400i 0.00708632 0.0281637i
\(436\) −20.7534 6.34902i −0.993906 0.304063i
\(437\) −3.67384 + 0.647797i −0.175744 + 0.0309883i
\(438\) −30.4036 23.4378i −1.45274 1.11990i
\(439\) 25.7453 + 21.6028i 1.22875 + 1.03105i 0.998319 + 0.0579596i \(0.0184595\pi\)
0.230435 + 0.973088i \(0.425985\pi\)
\(440\) 4.66764 1.65148i 0.222521 0.0787313i
\(441\) −42.0423 + 8.74768i −2.00202 + 0.416556i
\(442\) 14.4247 + 13.6910i 0.686113 + 0.651214i
\(443\) 4.51691 + 0.796453i 0.214605 + 0.0378406i 0.279917 0.960024i \(-0.409693\pi\)
−0.0653119 + 0.997865i \(0.520804\pi\)
\(444\) 11.3361 18.7673i 0.537987 0.890657i
\(445\) 0.542643 1.49090i 0.0257237 0.0706754i
\(446\) 0.376601 6.14830i 0.0178326 0.291130i
\(447\) 11.7099 5.68017i 0.553858 0.268663i
\(448\) 36.9279 + 0.664496i 1.74468 + 0.0313945i
\(449\) −16.9308 29.3250i −0.799013 1.38393i −0.920259 0.391309i \(-0.872022\pi\)
0.121246 0.992622i \(-0.461311\pi\)
\(450\) 10.5199 16.9991i 0.495914 0.801344i
\(451\) −19.1527 11.0578i −0.901864 0.520691i
\(452\) 6.74597 + 0.829531i 0.317304 + 0.0390179i
\(453\) 9.65789 6.98521i 0.453767 0.328194i
\(454\) −5.60714 11.2487i −0.263156 0.527928i
\(455\) 6.83496 5.73521i 0.320428 0.268871i
\(456\) −1.40661 1.98212i −0.0658706 0.0928213i
\(457\) −19.2943 + 7.02257i −0.902551 + 0.328502i −0.751275 0.659990i \(-0.770561\pi\)
−0.151277 + 0.988491i \(0.548338\pi\)
\(458\) −21.6136 + 6.40011i −1.00994 + 0.299058i
\(459\) −19.8230 4.34727i −0.925258 0.202913i
\(460\) −4.39506 6.77046i −0.204921 0.315674i
\(461\) −3.85808 10.6000i −0.179689 0.493690i 0.816847 0.576854i \(-0.195720\pi\)
−0.996536 + 0.0831635i \(0.973498\pi\)
\(462\) 31.1497 19.7467i 1.44922 0.918698i
\(463\) 25.0603 21.0281i 1.16465 0.977260i 0.164694 0.986345i \(-0.447336\pi\)
0.999959 + 0.00908483i \(0.00289183\pi\)
\(464\) −0.631388 + 2.52848i −0.0293114 + 0.117382i
\(465\) 1.49567 0.153952i 0.0693599 0.00713934i
\(466\) −5.96618 + 13.7179i −0.276378 + 0.635470i
\(467\) 11.9731 + 6.91266i 0.554048 + 0.319880i 0.750753 0.660583i \(-0.229691\pi\)
−0.196705 + 0.980463i \(0.563024\pi\)
\(468\) 12.4706 17.6411i 0.576451 0.815462i
\(469\) −57.3806 + 33.1287i −2.64959 + 1.52974i
\(470\) 0.422501 + 3.71121i 0.0194885 + 0.171185i
\(471\) −8.60967 5.83426i −0.396713 0.268828i
\(472\) −8.09709 + 4.57823i −0.372699 + 0.210730i
\(473\) −3.03676 1.10529i −0.139630 0.0508213i
\(474\) −3.99751 18.2246i −0.183612 0.837083i
\(475\) 2.30218 + 0.405936i 0.105631 + 0.0186256i
\(476\) 32.1287 + 16.3777i 1.47262 + 0.750670i
\(477\) −9.04579 + 0.276965i −0.414178 + 0.0126813i
\(478\) −33.5073 8.04758i −1.53259 0.368088i
\(479\) −9.80478 8.22719i −0.447992 0.375910i 0.390698 0.920519i \(-0.372234\pi\)
−0.838690 + 0.544609i \(0.816678\pi\)
\(480\) 2.75946 4.47688i 0.125952 0.204341i
\(481\) 3.95735 + 22.4432i 0.180439 + 1.02332i
\(482\) −14.2544 9.43663i −0.649271 0.429827i
\(483\) −43.1623 41.8610i −1.96395 1.90474i
\(484\) 0.437783 0.580740i 0.0198992 0.0263973i
\(485\) 2.03077i 0.0922125i
\(486\) −1.58417 + 21.9884i −0.0718596 + 0.997415i
\(487\) −36.3512 −1.64723 −0.823614 0.567150i \(-0.808046\pi\)
−0.823614 + 0.567150i \(0.808046\pi\)
\(488\) −11.7917 + 31.5123i −0.533783 + 1.42650i
\(489\) −28.0736 + 28.9464i −1.26953 + 1.30900i
\(490\) 5.99791 9.06008i 0.270958 0.409293i
\(491\) 33.3296 5.87690i 1.50414 0.265221i 0.639964 0.768405i \(-0.278949\pi\)
0.864179 + 0.503184i \(0.167838\pi\)
\(492\) −23.2098 + 3.62069i −1.04638 + 0.163233i
\(493\) −1.63565 + 1.94929i −0.0736659 + 0.0877917i
\(494\) 2.45644 + 0.589974i 0.110521 + 0.0265442i
\(495\) −0.160716 5.24907i −0.00722366 0.235928i
\(496\) −6.43406 + 0.673909i −0.288898 + 0.0302594i
\(497\) −4.55359 + 25.8247i −0.204256 + 1.15840i
\(498\) −36.5395 + 8.01482i −1.63737 + 0.359153i
\(499\) 5.51889 15.1630i 0.247059 0.678790i −0.752731 0.658328i \(-0.771264\pi\)
0.999791 0.0204623i \(-0.00651380\pi\)
\(500\) 2.34343 + 10.1588i 0.104801 + 0.454317i
\(501\) 20.3640 30.0514i 0.909797 1.34260i
\(502\) −3.39788 29.8467i −0.151655 1.33212i
\(503\) −6.56294 11.3673i −0.292627 0.506845i 0.681803 0.731536i \(-0.261196\pi\)
−0.974430 + 0.224691i \(0.927863\pi\)
\(504\) 12.5997 37.0928i 0.561237 1.65224i
\(505\) 2.92823 5.07184i 0.130304 0.225694i
\(506\) 31.8032 + 13.8318i 1.41382 + 0.614899i
\(507\) −0.00628419 0.0610519i −0.000279091 0.00271141i
\(508\) −0.643040 0.689824i −0.0285303 0.0306060i
\(509\) −8.94755 10.6633i −0.396593 0.472641i 0.530385 0.847757i \(-0.322047\pi\)
−0.926978 + 0.375116i \(0.877603\pi\)
\(510\) 4.33689 2.74927i 0.192041 0.121740i
\(511\) 67.9909 24.7467i 3.00774 1.09473i
\(512\) −11.8384 + 19.2835i −0.523188 + 0.852217i
\(513\) −2.45685 + 0.780804i −0.108473 + 0.0344733i
\(514\) −3.18962 10.7715i −0.140688 0.475112i
\(515\) 1.04885 + 2.88169i 0.0462179 + 0.126983i
\(516\) −3.24815 + 1.10997i −0.142992 + 0.0488638i
\(517\) −10.3156 12.2936i −0.453678 0.540673i
\(518\) 18.4355 + 36.9841i 0.810008 + 1.62499i
\(519\) 6.25856 + 8.65321i 0.274720 + 0.379834i
\(520\) 0.900743 + 5.39156i 0.0395002 + 0.236435i
\(521\) 17.1853 29.7658i 0.752902 1.30406i −0.193509 0.981099i \(-0.561987\pi\)
0.946411 0.322966i \(-0.104680\pi\)
\(522\) 2.35052 + 1.45462i 0.102879 + 0.0636672i
\(523\) 21.9893 12.6955i 0.961523 0.555136i 0.0648818 0.997893i \(-0.479333\pi\)
0.896642 + 0.442757i \(0.146000\pi\)
\(524\) −25.4735 + 10.8074i −1.11281 + 0.472125i
\(525\) 16.4443 + 33.9005i 0.717688 + 1.47954i
\(526\) −0.171395 + 2.79815i −0.00747316 + 0.122005i
\(527\) −5.93565 2.16040i −0.258561 0.0941084i
\(528\) 0.731915 + 22.5834i 0.0318525 + 0.982816i
\(529\) 5.82416 33.0305i 0.253224 1.43611i
\(530\) 1.57639 1.66087i 0.0684742 0.0721438i
\(531\) 2.00977 + 9.65916i 0.0872164 + 0.419172i
\(532\) 4.57472 0.238926i 0.198339 0.0103588i
\(533\) 15.6945 18.7040i 0.679806 0.810161i
\(534\) 5.73441 + 4.42060i 0.248152 + 0.191298i
\(535\) 1.02264 + 5.79970i 0.0442127 + 0.250743i
\(536\) 0.365174 40.5907i 0.0157731 1.75325i
\(537\) −34.0044 8.55592i −1.46740 0.369215i
\(538\) −12.3289 + 9.12119i −0.531536 + 0.393242i
\(539\) 46.6837i 2.01081i
\(540\) −3.63153 4.23394i −0.156276 0.182200i
\(541\) 16.9320i 0.727966i 0.931406 + 0.363983i \(0.118583\pi\)
−0.931406 + 0.363983i \(0.881417\pi\)
\(542\) 8.47259 + 11.4522i 0.363929 + 0.491914i
\(543\) 7.57714 + 26.6406i 0.325166 + 1.14326i
\(544\) −18.6387 + 11.8624i −0.799128 + 0.508596i
\(545\) −1.01140 5.73595i −0.0433238 0.245701i
\(546\) 15.4980 + 37.6536i 0.663251 + 1.61143i
\(547\) −13.5017 + 16.0907i −0.577292 + 0.687990i −0.973110 0.230339i \(-0.926016\pi\)
0.395819 + 0.918329i \(0.370461\pi\)
\(548\) −1.14382 21.9008i −0.0488618 0.935555i
\(549\) 28.0272 + 22.0919i 1.19617 + 0.942860i
\(550\) −15.7628 14.9610i −0.672128 0.637941i
\(551\) −0.0561302 + 0.318330i −0.00239123 + 0.0135613i
\(552\) 35.5209 9.75836i 1.51187 0.415343i
\(553\) 33.0451 + 12.0274i 1.40522 + 0.511458i
\(554\) 33.4393 + 2.04825i 1.42070 + 0.0870218i
\(555\) 5.86892 + 0.423071i 0.249122 + 0.0179583i
\(556\) 2.89473 1.22813i 0.122764 0.0520841i
\(557\) 37.8230 21.8371i 1.60261 0.925268i 0.611650 0.791129i \(-0.290506\pi\)
0.990962 0.134140i \(-0.0428271\pi\)
\(558\) −1.39749 + 6.71787i −0.0591605 + 0.284390i
\(559\) 1.78393 3.08985i 0.0754521 0.130687i
\(560\) 4.34195 + 8.91044i 0.183481 + 0.376535i
\(561\) −9.01672 + 20.1353i −0.380686 + 0.850113i
\(562\) −21.5935 + 10.7637i −0.910866 + 0.454039i
\(563\) 7.03271 + 8.38125i 0.296393 + 0.353228i 0.893604 0.448857i \(-0.148169\pi\)
−0.597210 + 0.802085i \(0.703724\pi\)
\(564\) −16.7251 3.29147i −0.704253 0.138596i
\(565\) 0.623868 + 1.71406i 0.0262463 + 0.0721112i
\(566\) 6.82433 2.02079i 0.286848 0.0849402i
\(567\) −33.4040 24.7109i −1.40284 1.03776i
\(568\) −12.2135 10.4370i −0.512466 0.437926i
\(569\) 26.7673 9.74248i 1.12214 0.408426i 0.286708 0.958018i \(-0.407439\pi\)
0.835433 + 0.549592i \(0.185217\pi\)
\(570\) 0.302484 0.577904i 0.0126697 0.0242057i
\(571\) 1.75375 + 2.09003i 0.0733920 + 0.0874652i 0.801491 0.598007i \(-0.204040\pi\)
−0.728099 + 0.685472i \(0.759596\pi\)
\(572\) −16.0142 17.1793i −0.669587 0.718303i
\(573\) −8.05255 3.60598i −0.336400 0.150642i
\(574\) 17.6580 40.6006i 0.737030 1.69464i
\(575\) −17.7151 + 30.6835i −0.738772 + 1.27959i
\(576\) 15.6576 + 18.1890i 0.652401 + 0.757874i
\(577\) −6.17552 10.6963i −0.257090 0.445293i 0.708371 0.705840i \(-0.249430\pi\)
−0.965461 + 0.260547i \(0.916097\pi\)
\(578\) 2.45380 0.279351i 0.102064 0.0116195i
\(579\) −16.7376 1.20656i −0.695590 0.0501428i
\(580\) −0.681514 + 0.157211i −0.0282983 + 0.00652783i
\(581\) 24.1145 66.2539i 1.00044 2.74868i
\(582\) 8.83243 + 2.80661i 0.366116 + 0.116338i
\(583\) −1.70842 + 9.68895i −0.0707557 + 0.401275i
\(584\) −8.08983 + 43.5832i −0.334760 + 1.80349i
\(585\) 5.73792 + 0.831577i 0.237234 + 0.0343815i
\(586\) 6.00792 25.0149i 0.248185 1.03336i
\(587\) 5.44737 6.49192i 0.224837 0.267950i −0.641819 0.766856i \(-0.721820\pi\)
0.866656 + 0.498906i \(0.166265\pi\)
\(588\) 31.1157 + 38.6081i 1.28319 + 1.59217i
\(589\) −0.790200 + 0.139334i −0.0325596 + 0.00574114i
\(590\) −2.08154 1.37801i −0.0856956 0.0567318i
\(591\) 5.06228 + 17.7985i 0.208234 + 0.732134i
\(592\) −25.2548 1.77511i −1.03797 0.0729567i
\(593\) 14.9671 0.614625 0.307312 0.951609i \(-0.400570\pi\)
0.307312 + 0.951609i \(0.400570\pi\)
\(594\) 23.0519 + 6.55543i 0.945831 + 0.268973i
\(595\) 9.67811i 0.396764i
\(596\) −12.0004 9.04637i −0.491558 0.370554i
\(597\) −2.26201 + 8.99010i −0.0925781 + 0.367940i
\(598\) −21.1359 + 31.9266i −0.864311 + 1.30558i
\(599\) −2.34457 13.2967i −0.0957965 0.543289i −0.994500 0.104733i \(-0.966601\pi\)
0.898704 0.438556i \(-0.144510\pi\)
\(600\) −23.0079 1.86677i −0.939294 0.0762104i
\(601\) −7.15855 6.00673i −0.292003 0.245020i 0.485003 0.874512i \(-0.338818\pi\)
−0.777007 + 0.629493i \(0.783263\pi\)
\(602\) 1.51087 6.29072i 0.0615783 0.256391i
\(603\) −40.8899 13.4805i −1.66517 0.548969i
\(604\) −12.2619 6.25054i −0.498931 0.254331i
\(605\) 0.192212 + 0.0338922i 0.00781455 + 0.00137792i
\(606\) 18.0120 + 19.7452i 0.731688 + 0.802095i
\(607\) 13.4916 + 4.91054i 0.547607 + 0.199313i 0.600983 0.799262i \(-0.294776\pi\)
−0.0533761 + 0.998574i \(0.516998\pi\)
\(608\) −1.29702 + 2.48882i −0.0526010 + 0.100935i
\(609\) −4.68754 + 2.27381i −0.189949 + 0.0921394i
\(610\) −8.97177 + 1.02139i −0.363256 + 0.0413548i
\(611\) 15.3440 8.85886i 0.620752 0.358391i
\(612\) 5.96364 + 22.6620i 0.241066 + 0.916059i
\(613\) 28.4032 + 16.3986i 1.14719 + 0.662333i 0.948202 0.317668i \(-0.102900\pi\)
0.198993 + 0.980001i \(0.436233\pi\)
\(614\) −6.08195 2.64516i −0.245448 0.106750i
\(615\) −3.69455 5.10816i −0.148979 0.205981i
\(616\) −36.6883 21.6244i −1.47822 0.871272i
\(617\) 14.6067 12.2565i 0.588045 0.493428i −0.299533 0.954086i \(-0.596831\pi\)
0.887578 + 0.460658i \(0.152386\pi\)
\(618\) −13.9829 + 0.579144i −0.562475 + 0.0232966i
\(619\) −11.9921 32.9481i −0.482004 1.32430i −0.907772 0.419464i \(-0.862218\pi\)
0.425768 0.904832i \(-0.360004\pi\)
\(620\) −0.945325 1.45625i −0.0379652 0.0584842i
\(621\) 1.61529 39.0381i 0.0648193 1.56654i
\(622\) 10.1777 + 34.3707i 0.408088 + 1.37814i
\(623\) −12.8238 + 4.66747i −0.513773 + 0.186998i
\(624\) −24.6944 3.53376i −0.988566 0.141464i
\(625\) 15.9043 13.3453i 0.636172 0.533811i
\(626\) −6.54996 + 3.26495i −0.261789 + 0.130494i
\(627\) 0.286952 + 2.78779i 0.0114598 + 0.111333i
\(628\) −1.46569 + 11.9194i −0.0584874 + 0.475635i
\(629\) −21.4078 12.3598i −0.853587 0.492819i
\(630\) 10.4045 1.50833i 0.414527 0.0600931i
\(631\) 20.4300 + 35.3858i 0.813306 + 1.40869i 0.910538 + 0.413425i \(0.135668\pi\)
−0.0972326 + 0.995262i \(0.530999\pi\)
\(632\) −16.6278 + 13.6993i −0.661417 + 0.544931i
\(633\) 8.94299 + 6.06013i 0.355452 + 0.240868i
\(634\) −17.8043 1.09057i −0.707101 0.0433119i
\(635\) 0.0865621 0.237827i 0.00343511 0.00943790i
\(636\) 5.04500 + 9.15161i 0.200047 + 0.362885i
\(637\) −50.7573 8.94989i −2.01108 0.354608i
\(638\) 2.06871 2.17958i 0.0819011 0.0862902i
\(639\) −14.4894 + 8.96764i −0.573193 + 0.354754i
\(640\) −6.05355 0.480257i −0.239288 0.0189838i
\(641\) 14.9231 + 12.5220i 0.589427 + 0.494588i 0.888027 0.459790i \(-0.152075\pi\)
−0.298601 + 0.954378i \(0.596520\pi\)
\(642\) −26.6380 3.56765i −1.05132 0.140804i
\(643\) −16.5399 + 2.91644i −0.652271 + 0.115013i −0.489985 0.871731i \(-0.662998\pi\)
−0.162286 + 0.986744i \(0.551887\pi\)
\(644\) −20.3111 + 66.3919i −0.800370 + 2.61621i
\(645\) −0.661284 0.641346i −0.0260380 0.0252530i
\(646\) −2.20293 + 1.62978i −0.0866732 + 0.0641227i
\(647\) 10.1590 0.399390 0.199695 0.979858i \(-0.436005\pi\)
0.199695 + 0.979858i \(0.436005\pi\)
\(648\) 23.4336 9.94313i 0.920559 0.390603i
\(649\) 10.7255 0.421013
\(650\) 19.2885 14.2700i 0.756557 0.559717i
\(651\) −9.28370 9.00380i −0.363857 0.352887i
\(652\) 44.5251 + 13.6214i 1.74374 + 0.533457i
\(653\) −19.0284 + 3.35522i −0.744640 + 0.131300i −0.533080 0.846065i \(-0.678965\pi\)
−0.211560 + 0.977365i \(0.567854\pi\)
\(654\) 26.3452 + 3.52843i 1.03018 + 0.137973i
\(655\) −5.68880 4.77347i −0.222280 0.186515i
\(656\) 15.9355 + 21.9499i 0.622177 + 0.857000i
\(657\) 41.4180 + 22.2512i 1.61587 + 0.868101i
\(658\) 22.1173 23.3026i 0.862222 0.908429i
\(659\) 8.13980 + 1.43527i 0.317082 + 0.0559101i 0.329924 0.944007i \(-0.392977\pi\)
−0.0128424 + 0.999918i \(0.504088\pi\)
\(660\) −5.31048 + 2.92750i −0.206710 + 0.113953i
\(661\) −3.58357 + 9.84578i −0.139385 + 0.382957i −0.989670 0.143366i \(-0.954207\pi\)
0.850285 + 0.526323i \(0.176430\pi\)
\(662\) −18.5625 1.13701i −0.721454 0.0441911i
\(663\) −20.1637 13.6637i −0.783093 0.530655i
\(664\) 27.4666 + 33.3379i 1.06591 + 1.29376i
\(665\) 0.614701 + 1.06469i 0.0238371 + 0.0412870i
\(666\) −9.95115 + 24.9410i −0.385599 + 0.966443i
\(667\) −4.24271 2.44953i −0.164279 0.0948463i
\(668\) −41.6037 5.11588i −1.60969 0.197939i
\(669\) 0.772459 + 7.50456i 0.0298650 + 0.290143i
\(670\) 9.74974 4.85995i 0.376665 0.187756i
\(671\) 29.7195 24.9377i 1.14731 0.962707i
\(672\) −44.7549 + 6.56983i −1.72646 + 0.253437i
\(673\) 1.15505 0.420402i 0.0445238 0.0162053i −0.319662 0.947532i \(-0.603569\pi\)
0.364186 + 0.931326i \(0.381347\pi\)
\(674\) −5.28324 17.8418i −0.203503 0.687240i
\(675\) −9.31795 + 22.6414i −0.358648 + 0.871466i
\(676\) −0.0594428 + 0.0385874i −0.00228626 + 0.00148413i
\(677\) 15.0146 + 41.2524i 0.577059 + 1.58546i 0.793112 + 0.609076i \(0.208459\pi\)
−0.216053 + 0.976382i \(0.569318\pi\)
\(678\) −8.31719 + 0.344481i −0.319420 + 0.0132297i
\(679\) −13.3808 + 11.2278i −0.513508 + 0.430884i
\(680\) −5.10801 3.01070i −0.195883 0.115455i
\(681\) 9.02129 + 12.4730i 0.345697 + 0.477967i
\(682\) 6.84049 + 2.97506i 0.261936 + 0.113921i
\(683\) −13.7607 7.94474i −0.526539 0.303997i 0.213067 0.977038i \(-0.431655\pi\)
−0.739606 + 0.673040i \(0.764988\pi\)
\(684\) 2.09543 + 2.11428i 0.0801209 + 0.0808416i
\(685\) 5.09706 2.94279i 0.194749 0.112438i
\(686\) −47.4486 + 5.40176i −1.81160 + 0.206240i
\(687\) 24.8392 12.0489i 0.947674 0.459693i
\(688\) 2.85018 + 2.75436i 0.108662 + 0.105009i
\(689\) −10.2069 3.71500i −0.388852 0.141530i
\(690\) 6.66256 + 7.30367i 0.253639 + 0.278046i
\(691\) 40.8059 + 7.19518i 1.55233 + 0.273717i 0.883045 0.469289i \(-0.155490\pi\)
0.669284 + 0.743007i \(0.266601\pi\)
\(692\) 5.60031 10.9863i 0.212892 0.417638i
\(693\) −33.6977 + 30.0803i −1.28007 + 1.14265i
\(694\) 7.48167 31.1511i 0.284000 1.18248i
\(695\) 0.646458 + 0.542443i 0.0245216 + 0.0205760i
\(696\) 0.258124 3.18138i 0.00978417 0.120590i
\(697\) 4.59896 + 26.0820i 0.174198 + 0.987926i
\(698\) −22.6751 + 34.2516i −0.858265 + 1.29644i
\(699\) 4.47048 17.7674i 0.169089 0.672024i
\(700\) 26.1896 34.7417i 0.989872 1.31311i
\(701\) 4.82376i 0.182191i −0.995842 0.0910955i \(-0.970963\pi\)
0.995842 0.0910955i \(-0.0290368\pi\)
\(702\) −11.5468 + 23.8067i −0.435807 + 0.898525i
\(703\) −3.14012 −0.118432
\(704\) 22.8263 12.6367i 0.860299 0.476265i
\(705\) −1.25149 4.40013i −0.0471338 0.165719i
\(706\) −7.86939 5.20965i −0.296168 0.196068i
\(707\) −49.6082 + 8.74726i −1.86571 + 0.328975i
\(708\) 8.87016 7.14877i 0.333361 0.268667i
\(709\) 5.87727 7.00426i 0.220726 0.263051i −0.644306 0.764768i \(-0.722854\pi\)
0.865032 + 0.501717i \(0.167298\pi\)
\(710\) 1.00688 4.19231i 0.0377877 0.157335i
\(711\) 8.46904 + 21.2238i 0.317614 + 0.795954i
\(712\) 1.52582 8.22023i 0.0571826 0.308066i
\(713\) 2.11175 11.9763i 0.0790857 0.448517i
\(714\) −42.0930 13.3756i −1.57529 0.500568i
\(715\) 2.15573 5.92283i 0.0806199 0.221501i
\(716\) 9.10090 + 39.4527i 0.340117 + 1.47442i
\(717\) 42.0957 + 3.03454i 1.57209 + 0.113327i
\(718\) −36.0131 + 4.09989i −1.34400 + 0.153007i
\(719\) −12.3655 21.4178i −0.461157 0.798747i 0.537862 0.843033i \(-0.319232\pi\)
−0.999019 + 0.0442856i \(0.985899\pi\)
\(720\) −2.44061 + 5.96063i −0.0909560 + 0.222140i
\(721\) 13.1886 22.8433i 0.491170 0.850731i
\(722\) 10.5778 24.3213i 0.393665 0.905144i
\(723\) 19.1085 + 8.55693i 0.710655 + 0.318236i
\(724\) 23.3940 21.8074i 0.869432 0.810467i
\(725\) 1.97333 + 2.35172i 0.0732875 + 0.0873407i
\(726\) −0.413053 + 0.789149i −0.0153298 + 0.0292881i
\(727\) −21.2835 + 7.74655i −0.789360 + 0.287304i −0.705070 0.709138i \(-0.749084\pi\)
−0.0842902 + 0.996441i \(0.526862\pi\)
\(728\) 30.5450 35.7441i 1.13207 1.32476i
\(729\) −2.47581 26.8862i −0.0916965 0.995787i
\(730\) −11.4067 + 3.37772i −0.422182 + 0.125015i
\(731\) 1.32363 + 3.63665i 0.0489563 + 0.134506i
\(732\) 7.95705 40.4325i 0.294101 1.49443i
\(733\) −14.8278 17.6710i −0.547676 0.652695i 0.419214 0.907887i \(-0.362306\pi\)
−0.966890 + 0.255192i \(0.917861\pi\)
\(734\) 10.3205 5.14443i 0.380935 0.189884i
\(735\) −5.43877 + 12.1454i −0.200612 + 0.447988i
\(736\) −28.7226 31.3735i −1.05873 1.15644i
\(737\) −23.4027 + 40.5347i −0.862050 + 1.49311i
\(738\) 27.3230 9.00901i 1.00577 0.331626i
\(739\) 37.0237 21.3756i 1.36194 0.786316i 0.372057 0.928210i \(-0.378653\pi\)
0.989882 + 0.141894i \(0.0453192\pi\)
\(740\) −2.65367 6.25478i −0.0975508 0.229930i
\(741\) −3.08606 0.222464i −0.113369 0.00817243i
\(742\) −19.6592 1.20418i −0.721711 0.0442069i
\(743\) 16.9810 + 6.18057i 0.622972 + 0.226743i 0.634169 0.773194i \(-0.281342\pi\)
−0.0111976 + 0.999937i \(0.503564\pi\)
\(744\) 7.64013 2.09891i 0.280101 0.0769497i
\(745\) 0.700351 3.97189i 0.0256589 0.145519i
\(746\) −2.20201 2.09001i −0.0806213 0.0765205i
\(747\) 42.5527 16.9800i 1.55692 0.621267i
\(748\) 25.4403 1.32869i 0.930191 0.0485816i
\(749\) 32.5603 38.8039i 1.18973 1.41786i
\(750\) −4.85996 11.8077i −0.177461 0.431156i
\(751\) −7.28217 41.2992i −0.265730 1.50703i −0.766948 0.641709i \(-0.778226\pi\)
0.501218 0.865321i \(-0.332885\pi\)
\(752\) 5.41854 + 18.9224i 0.197594 + 0.690027i
\(753\) 10.0649 + 35.3872i 0.366784 + 1.28958i
\(754\) 1.97317 + 2.66708i 0.0718585 + 0.0971295i
\(755\) 3.69365i 0.134426i
\(756\) −7.81936 + 47.3370i −0.284387 + 1.72163i
\(757\) 16.7039i 0.607113i −0.952813 0.303557i \(-0.901826\pi\)
0.952813 0.303557i \(-0.0981741\pi\)
\(758\) −17.8321 + 13.1926i −0.647690 + 0.479175i
\(759\) −41.1913 10.3642i −1.49515 0.376197i
\(760\) −0.753158 0.00677577i −0.0273199 0.000245783i
\(761\) 3.87296 + 21.9646i 0.140395 + 0.796217i 0.970950 + 0.239282i \(0.0769119\pi\)
−0.830556 + 0.556936i \(0.811977\pi\)
\(762\) 0.914751 + 0.705172i 0.0331379 + 0.0255457i
\(763\) −32.2024 + 38.3774i −1.16581 + 1.38935i
\(764\) 0.531371 + 10.1741i 0.0192243 + 0.368088i
\(765\) −4.69163 + 4.18799i −0.169626 + 0.151417i
\(766\) −0.609086 + 0.641728i −0.0220072 + 0.0231866i
\(767\) −2.05622 + 11.6614i −0.0742459 + 0.421069i
\(768\) 10.4551 25.6650i 0.377264 0.926106i
\(769\) 2.44160 + 0.888671i 0.0880465 + 0.0320463i 0.385668 0.922638i \(-0.373971\pi\)
−0.297621 + 0.954684i \(0.596193\pi\)
\(770\) 0.698759 11.4078i 0.0251815 0.411108i
\(771\) 6.00480 + 12.3791i 0.216257 + 0.445823i
\(772\) 7.56800 + 17.8380i 0.272378 + 0.642004i
\(773\) −42.1331 + 24.3256i