Properties

Label 570.2.bi.a.263.34
Level $570$
Weight $2$
Character 570.263
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 263.34
Character \(\chi\) \(=\) 570.263
Dual form 570.2.bi.a.557.34

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0871557 + 0.996195i) q^{2} +(0.604167 + 1.62326i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-0.885339 + 2.05333i) q^{5} +(-1.56443 + 0.743345i) q^{6} +(2.10029 + 0.562771i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-2.26996 + 1.96144i) q^{9} +O(q^{10})\) \(q+(0.0871557 + 0.996195i) q^{2} +(0.604167 + 1.62326i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-0.885339 + 2.05333i) q^{5} +(-1.56443 + 0.743345i) q^{6} +(2.10029 + 0.562771i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-2.26996 + 1.96144i) q^{9} +(-2.12268 - 0.703010i) q^{10} +(-4.26692 - 2.46351i) q^{11} +(-0.876865 - 1.49369i) q^{12} +(1.55734 + 3.33972i) q^{13} +(-0.377577 + 2.14135i) q^{14} +(-3.86799 - 0.196581i) q^{15} +(0.939693 - 0.342020i) q^{16} +(-0.0644939 - 0.737169i) q^{17} +(-2.15182 - 2.09037i) q^{18} +(-3.80763 + 2.12178i) q^{19} +(0.515331 - 2.17588i) q^{20} +(0.355401 + 3.74933i) q^{21} +(2.08225 - 4.46540i) q^{22} +(6.88940 + 4.82401i) q^{23} +(1.41158 - 1.00371i) q^{24} +(-3.43235 - 3.63579i) q^{25} +(-3.19128 + 1.84249i) q^{26} +(-4.55538 - 2.49971i) q^{27} +(-2.16611 - 0.189510i) q^{28} +(5.94881 - 4.99165i) q^{29} +(-0.141285 - 3.87041i) q^{30} +(-1.68756 - 2.92294i) q^{31} +(0.422618 + 0.906308i) q^{32} +(1.42099 - 8.41471i) q^{33} +(0.728743 - 0.128497i) q^{34} +(-3.01502 + 3.81435i) q^{35} +(1.89488 - 2.32582i) q^{36} +(-2.59022 + 2.59022i) q^{37} +(-2.44557 - 3.60821i) q^{38} +(-4.48035 + 4.54572i) q^{39} +(2.21251 + 0.323730i) q^{40} +(1.88858 + 5.18882i) q^{41} +(-3.70409 + 0.680824i) q^{42} +(1.20210 - 0.841718i) q^{43} +(4.62988 + 1.68514i) q^{44} +(-2.01781 - 6.39753i) q^{45} +(-4.20520 + 7.28362i) q^{46} +(-3.40531 - 0.297926i) q^{47} +(1.12292 + 1.31873i) q^{48} +(-1.96767 - 1.13604i) q^{49} +(3.32281 - 3.73617i) q^{50} +(1.15765 - 0.550064i) q^{51} +(-2.11361 - 3.01855i) q^{52} +(-1.78702 - 1.25128i) q^{53} +(2.09317 - 4.75591i) q^{54} +(8.83608 - 6.58037i) q^{55} -2.17438i q^{56} +(-5.74466 - 4.89887i) q^{57} +(5.49112 + 5.49112i) q^{58} +(0.260072 + 0.218226i) q^{59} +(3.84336 - 0.478075i) q^{60} +(2.17200 + 12.3180i) q^{61} +(2.76474 - 1.93589i) q^{62} +(-5.87143 + 2.84213i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-8.23633 + 0.240948i) q^{65} +(8.50654 + 0.682190i) q^{66} +(-0.241436 + 2.75962i) q^{67} +(0.191522 + 0.714770i) q^{68} +(-3.66828 + 14.0978i) q^{69} +(-4.06261 - 2.67111i) q^{70} +(14.7306 + 2.59739i) q^{71} +(2.48212 + 1.68496i) q^{72} +(6.92199 + 3.22778i) q^{73} +(-2.80612 - 2.35461i) q^{74} +(3.82813 - 7.76823i) q^{75} +(3.38134 - 2.75074i) q^{76} +(-7.57539 - 7.57539i) q^{77} +(-4.91891 - 4.06712i) q^{78} +(0.282184 + 0.775293i) q^{79} +(-0.129665 + 2.23231i) q^{80} +(1.30547 - 8.90482i) q^{81} +(-5.00448 + 2.33363i) q^{82} +(5.94152 + 1.59202i) q^{83} +(-1.00107 - 3.63065i) q^{84} +(1.57075 + 0.520217i) q^{85} +(0.943285 + 1.12416i) q^{86} +(11.6968 + 6.64070i) q^{87} +(-1.27521 + 4.75914i) q^{88} +(5.88303 + 2.14125i) q^{89} +(6.19733 - 2.56771i) q^{90} +(1.39136 + 7.89081i) q^{91} +(-7.62241 - 3.55439i) q^{92} +(3.72513 - 4.50530i) q^{93} -3.41832i q^{94} +(-0.985686 - 9.69683i) q^{95} +(-1.21584 + 1.23358i) q^{96} +(-2.02829 + 0.177453i) q^{97} +(0.960219 - 2.05920i) q^{98} +(14.5178 - 2.77726i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{9}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0871557 + 0.996195i 0.0616284 + 0.704416i
\(3\) 0.604167 + 1.62326i 0.348816 + 0.937191i
\(4\) −0.984808 + 0.173648i −0.492404 + 0.0868241i
\(5\) −0.885339 + 2.05333i −0.395936 + 0.918278i
\(6\) −1.56443 + 0.743345i −0.638676 + 0.303469i
\(7\) 2.10029 + 0.562771i 0.793835 + 0.212707i 0.632875 0.774254i \(-0.281875\pi\)
0.160959 + 0.986961i \(0.448541\pi\)
\(8\) −0.258819 0.965926i −0.0915064 0.341506i
\(9\) −2.26996 + 1.96144i −0.756655 + 0.653815i
\(10\) −2.12268 0.703010i −0.671251 0.222311i
\(11\) −4.26692 2.46351i −1.28653 0.742776i −0.308493 0.951227i \(-0.599825\pi\)
−0.978033 + 0.208450i \(0.933158\pi\)
\(12\) −0.876865 1.49369i −0.253129 0.431191i
\(13\) 1.55734 + 3.33972i 0.431928 + 0.926272i 0.995001 + 0.0998650i \(0.0318411\pi\)
−0.563073 + 0.826407i \(0.690381\pi\)
\(14\) −0.377577 + 2.14135i −0.100912 + 0.572299i
\(15\) −3.86799 0.196581i −0.998711 0.0507570i
\(16\) 0.939693 0.342020i 0.234923 0.0855050i
\(17\) −0.0644939 0.737169i −0.0156421 0.178790i −0.999997 0.00259072i \(-0.999175\pi\)
0.984355 0.176199i \(-0.0563802\pi\)
\(18\) −2.15182 2.09037i −0.507189 0.492706i
\(19\) −3.80763 + 2.12178i −0.873530 + 0.486771i
\(20\) 0.515331 2.17588i 0.115232 0.486541i
\(21\) 0.355401 + 3.74933i 0.0775549 + 0.818171i
\(22\) 2.08225 4.46540i 0.443937 0.952026i
\(23\) 6.88940 + 4.82401i 1.43654 + 1.00588i 0.994030 + 0.109111i \(0.0348005\pi\)
0.442509 + 0.896764i \(0.354088\pi\)
\(24\) 1.41158 1.00371i 0.288138 0.204882i
\(25\) −3.43235 3.63579i −0.686470 0.727158i
\(26\) −3.19128 + 1.84249i −0.625862 + 0.361341i
\(27\) −4.55538 2.49971i −0.876683 0.481069i
\(28\) −2.16611 0.189510i −0.409356 0.0358140i
\(29\) 5.94881 4.99165i 1.10467 0.926925i 0.106937 0.994266i \(-0.465896\pi\)
0.997730 + 0.0673405i \(0.0214514\pi\)
\(30\) −0.141285 3.87041i −0.0257949 0.706636i
\(31\) −1.68756 2.92294i −0.303095 0.524976i 0.673740 0.738968i \(-0.264687\pi\)
−0.976835 + 0.213992i \(0.931353\pi\)
\(32\) 0.422618 + 0.906308i 0.0747091 + 0.160214i
\(33\) 1.42099 8.41471i 0.247362 1.46481i
\(34\) 0.728743 0.128497i 0.124978 0.0220370i
\(35\) −3.01502 + 3.81435i −0.509632 + 0.644743i
\(36\) 1.89488 2.32582i 0.315813 0.387637i
\(37\) −2.59022 + 2.59022i −0.425830 + 0.425830i −0.887205 0.461375i \(-0.847356\pi\)
0.461375 + 0.887205i \(0.347356\pi\)
\(38\) −2.44557 3.60821i −0.396723 0.585330i
\(39\) −4.48035 + 4.54572i −0.717431 + 0.727897i
\(40\) 2.21251 + 0.323730i 0.349828 + 0.0511862i
\(41\) 1.88858 + 5.18882i 0.294946 + 0.810358i 0.995325 + 0.0965863i \(0.0307924\pi\)
−0.700378 + 0.713772i \(0.746985\pi\)
\(42\) −3.70409 + 0.680824i −0.571553 + 0.105053i
\(43\) 1.20210 0.841718i 0.183318 0.128361i −0.478315 0.878188i \(-0.658752\pi\)
0.661634 + 0.749827i \(0.269863\pi\)
\(44\) 4.62988 + 1.68514i 0.697981 + 0.254044i
\(45\) −2.01781 6.39753i −0.300798 0.953688i
\(46\) −4.20520 + 7.28362i −0.620023 + 1.07391i
\(47\) −3.40531 0.297926i −0.496716 0.0434570i −0.163954 0.986468i \(-0.552425\pi\)
−0.332762 + 0.943011i \(0.607981\pi\)
\(48\) 1.12292 + 1.31873i 0.162080 + 0.190342i
\(49\) −1.96767 1.13604i −0.281096 0.162291i
\(50\) 3.32281 3.73617i 0.469916 0.528374i
\(51\) 1.15765 0.550064i 0.162104 0.0770243i
\(52\) −2.11361 3.01855i −0.293106 0.418598i
\(53\) −1.78702 1.25128i −0.245466 0.171877i 0.444369 0.895844i \(-0.353428\pi\)
−0.689835 + 0.723967i \(0.742317\pi\)
\(54\) 2.09317 4.75591i 0.284844 0.647197i
\(55\) 8.83608 6.58037i 1.19146 0.887298i
\(56\) 2.17438i 0.290564i
\(57\) −5.74466 4.89887i −0.760898 0.648871i
\(58\) 5.49112 + 5.49112i 0.721020 + 0.721020i
\(59\) 0.260072 + 0.218226i 0.0338584 + 0.0284106i 0.659560 0.751652i \(-0.270743\pi\)
−0.625701 + 0.780063i \(0.715187\pi\)
\(60\) 3.84336 0.478075i 0.496176 0.0617192i
\(61\) 2.17200 + 12.3180i 0.278096 + 1.57716i 0.728952 + 0.684564i \(0.240008\pi\)
−0.450856 + 0.892596i \(0.648881\pi\)
\(62\) 2.76474 1.93589i 0.351122 0.245858i
\(63\) −5.87143 + 2.84213i −0.739730 + 0.358075i
\(64\) −0.866025 + 0.500000i −0.108253 + 0.0625000i
\(65\) −8.23633 + 0.240948i −1.02159 + 0.0298859i
\(66\) 8.50654 + 0.682190i 1.04708 + 0.0839718i
\(67\) −0.241436 + 2.75962i −0.0294961 + 0.337142i 0.967081 + 0.254470i \(0.0819009\pi\)
−0.996577 + 0.0826720i \(0.973655\pi\)
\(68\) 0.191522 + 0.714770i 0.0232255 + 0.0866786i
\(69\) −3.66828 + 14.0978i −0.441610 + 1.69718i
\(70\) −4.06261 2.67111i −0.485575 0.319259i
\(71\) 14.7306 + 2.59739i 1.74820 + 0.308254i 0.954089 0.299524i \(-0.0968279\pi\)
0.794107 + 0.607778i \(0.207939\pi\)
\(72\) 2.48212 + 1.68496i 0.292521 + 0.198574i
\(73\) 6.92199 + 3.22778i 0.810158 + 0.377783i 0.783135 0.621852i \(-0.213619\pi\)
0.0270231 + 0.999635i \(0.491397\pi\)
\(74\) −2.80612 2.35461i −0.326205 0.273718i
\(75\) 3.82813 7.76823i 0.442034 0.896998i
\(76\) 3.38134 2.75074i 0.387866 0.315531i
\(77\) −7.57539 7.57539i −0.863295 0.863295i
\(78\) −4.91891 4.06712i −0.556957 0.460510i
\(79\) 0.282184 + 0.775293i 0.0317481 + 0.0872273i 0.954554 0.298038i \(-0.0963322\pi\)
−0.922806 + 0.385265i \(0.874110\pi\)
\(80\) −0.129665 + 2.23231i −0.0144970 + 0.249579i
\(81\) 1.30547 8.90482i 0.145052 0.989424i
\(82\) −5.00448 + 2.33363i −0.552652 + 0.257706i
\(83\) 5.94152 + 1.59202i 0.652166 + 0.174747i 0.569708 0.821847i \(-0.307056\pi\)
0.0824581 + 0.996595i \(0.473723\pi\)
\(84\) −1.00107 3.63065i −0.109225 0.396137i
\(85\) 1.57075 + 0.520217i 0.170372 + 0.0564254i
\(86\) 0.943285 + 1.12416i 0.101717 + 0.121222i
\(87\) 11.6968 + 6.64070i 1.25403 + 0.711957i
\(88\) −1.27521 + 4.75914i −0.135937 + 0.507326i
\(89\) 5.88303 + 2.14125i 0.623600 + 0.226972i 0.634443 0.772969i \(-0.281229\pi\)
−0.0108432 + 0.999941i \(0.503452\pi\)
\(90\) 6.19733 2.56771i 0.653255 0.270661i
\(91\) 1.39136 + 7.89081i 0.145854 + 0.827181i
\(92\) −7.62241 3.55439i −0.794691 0.370571i
\(93\) 3.72513 4.50530i 0.386278 0.467178i
\(94\) 3.41832i 0.352573i
\(95\) −0.985686 9.69683i −0.101129 0.994873i
\(96\) −1.21584 + 1.23358i −0.124092 + 0.125902i
\(97\) −2.02829 + 0.177453i −0.205942 + 0.0180176i −0.189660 0.981850i \(-0.560739\pi\)
−0.0162820 + 0.999867i \(0.505183\pi\)
\(98\) 0.960219 2.05920i 0.0969968 0.208010i
\(99\) 14.5178 2.77726i 1.45909 0.279125i
\(100\) 4.01155 + 2.98453i 0.401155 + 0.298453i
\(101\) −6.05245 + 16.6290i −0.602241 + 1.65464i 0.144482 + 0.989507i \(0.453848\pi\)
−0.746723 + 0.665136i \(0.768374\pi\)
\(102\) 0.648867 + 1.10531i 0.0642474 + 0.109442i
\(103\) −7.50097 + 2.00988i −0.739092 + 0.198039i −0.608675 0.793420i \(-0.708299\pi\)
−0.130418 + 0.991459i \(0.541632\pi\)
\(104\) 2.82285 2.36866i 0.276804 0.232266i
\(105\) −8.01327 2.58967i −0.782015 0.252726i
\(106\) 1.09077 1.88927i 0.105945 0.183502i
\(107\) 3.45627 12.8990i 0.334130 1.24699i −0.570679 0.821173i \(-0.693320\pi\)
0.904809 0.425818i \(-0.140014\pi\)
\(108\) 4.92024 + 1.67070i 0.473450 + 0.160763i
\(109\) 6.16747 + 1.08749i 0.590736 + 0.104163i 0.461022 0.887389i \(-0.347483\pi\)
0.129714 + 0.991551i \(0.458594\pi\)
\(110\) 7.32545 + 8.22894i 0.698454 + 0.784598i
\(111\) −5.76954 2.63969i −0.547621 0.250548i
\(112\) 2.16611 0.189510i 0.204678 0.0179070i
\(113\) −11.5052 + 11.5052i −1.08231 + 1.08231i −0.0860203 + 0.996293i \(0.527415\pi\)
−0.996293 + 0.0860203i \(0.972585\pi\)
\(114\) 4.37955 6.14976i 0.410182 0.575978i
\(115\) −16.0047 + 9.87535i −1.49245 + 0.920881i
\(116\) −4.99165 + 5.94881i −0.463463 + 0.552333i
\(117\) −10.0858 4.52642i −0.932430 0.418467i
\(118\) −0.194729 + 0.278102i −0.0179262 + 0.0256013i
\(119\) 0.279401 1.58456i 0.0256127 0.145257i
\(120\) 0.811227 + 3.78707i 0.0740546 + 0.345711i
\(121\) 6.63776 + 11.4969i 0.603433 + 1.04518i
\(122\) −12.0818 + 3.23732i −1.09384 + 0.293093i
\(123\) −7.28181 + 6.20057i −0.656578 + 0.559087i
\(124\) 2.16949 + 2.58549i 0.194826 + 0.232184i
\(125\) 10.5043 3.82885i 0.939531 0.342463i
\(126\) −3.34305 5.60138i −0.297822 0.499010i
\(127\) 6.89262 3.21408i 0.611621 0.285204i −0.0920221 0.995757i \(-0.529333\pi\)
0.703643 + 0.710553i \(0.251555\pi\)
\(128\) −0.573576 0.819152i −0.0506975 0.0724035i
\(129\) 2.09260 + 1.44278i 0.184243 + 0.127030i
\(130\) −0.957874 8.18399i −0.0840111 0.717783i
\(131\) −8.40466 + 10.0163i −0.734319 + 0.875127i −0.995938 0.0900444i \(-0.971299\pi\)
0.261619 + 0.965171i \(0.415744\pi\)
\(132\) 0.0617994 + 8.53362i 0.00537895 + 0.742757i
\(133\) −9.19120 + 2.31354i −0.796978 + 0.200609i
\(134\) −2.77017 −0.239306
\(135\) 9.16578 7.14062i 0.788865 0.614567i
\(136\) −0.695358 + 0.253090i −0.0596265 + 0.0217023i
\(137\) 6.68466 9.54668i 0.571109 0.815628i −0.424866 0.905256i \(-0.639679\pi\)
0.995975 + 0.0896279i \(0.0285678\pi\)
\(138\) −14.3639 2.42562i −1.22273 0.206483i
\(139\) 0.0511906 0.140645i 0.00434193 0.0119294i −0.937503 0.347978i \(-0.886868\pi\)
0.941845 + 0.336049i \(0.109091\pi\)
\(140\) 2.30686 4.27996i 0.194966 0.361722i
\(141\) −1.57377 5.70772i −0.132535 0.480676i
\(142\) −1.30366 + 14.9009i −0.109401 + 1.25045i
\(143\) 1.58239 18.0869i 0.132326 1.51250i
\(144\) −1.46221 + 2.61953i −0.121851 + 0.218294i
\(145\) 4.98280 + 16.6342i 0.413799 + 1.38139i
\(146\) −2.61220 + 7.17697i −0.216188 + 0.593970i
\(147\) 0.655282 3.88040i 0.0540467 0.320050i
\(148\) 2.10109 3.00066i 0.172708 0.246653i
\(149\) 9.66268 3.51693i 0.791598 0.288118i 0.0855977 0.996330i \(-0.472720\pi\)
0.706000 + 0.708212i \(0.250498\pi\)
\(150\) 8.07232 + 3.13652i 0.659102 + 0.256095i
\(151\) 9.44372 0.768519 0.384260 0.923225i \(-0.374457\pi\)
0.384260 + 0.923225i \(0.374457\pi\)
\(152\) 3.03497 + 3.12873i 0.246169 + 0.253773i
\(153\) 1.59231 + 1.54685i 0.128731 + 0.125055i
\(154\) 6.88632 8.20680i 0.554916 0.661323i
\(155\) 7.49584 0.877331i 0.602080 0.0704689i
\(156\) 3.62293 5.25466i 0.290067 0.420710i
\(157\) 9.78069 + 13.9683i 0.780584 + 1.11479i 0.990560 + 0.137083i \(0.0437728\pi\)
−0.209975 + 0.977707i \(0.567338\pi\)
\(158\) −0.747749 + 0.348681i −0.0594877 + 0.0277396i
\(159\) 0.951504 3.65678i 0.0754592 0.290002i
\(160\) −2.23511 + 0.0653865i −0.176701 + 0.00516926i
\(161\) 11.7549 + 14.0090i 0.926418 + 1.10406i
\(162\) 8.98471 + 0.524398i 0.705905 + 0.0412006i
\(163\) 19.8976 5.33155i 1.55850 0.417599i 0.626312 0.779572i \(-0.284564\pi\)
0.932188 + 0.361973i \(0.117897\pi\)
\(164\) −2.76091 4.78204i −0.215591 0.373415i
\(165\) 16.0201 + 10.3676i 1.24717 + 0.807119i
\(166\) −1.06813 + 6.05766i −0.0829029 + 0.470166i
\(167\) 12.3728 17.6701i 0.957433 1.36736i 0.0275017 0.999622i \(-0.491245\pi\)
0.929931 0.367734i \(-0.119866\pi\)
\(168\) 3.52959 1.31369i 0.272314 0.101353i
\(169\) −0.372199 + 0.443569i −0.0286307 + 0.0341207i
\(170\) −0.381337 + 1.61011i −0.0292472 + 0.123490i
\(171\) 4.48142 12.2848i 0.342703 0.939444i
\(172\) −1.03767 + 1.03767i −0.0791218 + 0.0791218i
\(173\) −21.0791 + 1.84418i −1.60262 + 0.140211i −0.853090 0.521764i \(-0.825274\pi\)
−0.749526 + 0.661975i \(0.769719\pi\)
\(174\) −5.59598 + 12.2311i −0.424230 + 0.927237i
\(175\) −5.16281 9.56784i −0.390272 0.723261i
\(176\) −4.85217 0.855568i −0.365746 0.0644909i
\(177\) −0.197111 + 0.554010i −0.0148158 + 0.0416419i
\(178\) −1.62036 + 6.04727i −0.121451 + 0.453262i
\(179\) −1.45030 + 2.51200i −0.108401 + 0.187756i −0.915123 0.403176i \(-0.867906\pi\)
0.806722 + 0.590932i \(0.201240\pi\)
\(180\) 3.09808 + 5.94995i 0.230917 + 0.443483i
\(181\) −0.641113 + 0.537958i −0.0476536 + 0.0399861i −0.666303 0.745681i \(-0.732124\pi\)
0.618650 + 0.785667i \(0.287680\pi\)
\(182\) −7.73951 + 2.07380i −0.573691 + 0.153720i
\(183\) −18.6831 + 10.9679i −1.38110 + 0.810768i
\(184\) 2.87653 7.90319i 0.212060 0.582631i
\(185\) −3.02537 7.61182i −0.222429 0.559632i
\(186\) 4.81283 + 3.31830i 0.352893 + 0.243309i
\(187\) −1.54083 + 3.30432i −0.112677 + 0.241636i
\(188\) 3.40531 0.297926i 0.248358 0.0217285i
\(189\) −8.16085 7.81374i −0.593614 0.568366i
\(190\) 9.57402 1.82707i 0.694572 0.132550i
\(191\) 10.3808i 0.751128i −0.926796 0.375564i \(-0.877449\pi\)
0.926796 0.375564i \(-0.122551\pi\)
\(192\) −1.33486 1.10370i −0.0963349 0.0796529i
\(193\) 24.0316 + 11.2061i 1.72983 + 0.806633i 0.991177 + 0.132547i \(0.0423155\pi\)
0.738653 + 0.674086i \(0.235462\pi\)
\(194\) −0.353555 2.00511i −0.0253837 0.143958i
\(195\) −5.36724 13.2242i −0.384356 0.947001i
\(196\) 2.13505 + 0.777094i 0.152504 + 0.0555067i
\(197\) −3.94202 + 14.7118i −0.280857 + 1.04817i 0.670956 + 0.741497i \(0.265884\pi\)
−0.951814 + 0.306677i \(0.900783\pi\)
\(198\) 4.03200 + 14.2205i 0.286542 + 1.01061i
\(199\) −10.6649 12.7099i −0.756013 0.900981i 0.241576 0.970382i \(-0.422336\pi\)
−0.997589 + 0.0694006i \(0.977891\pi\)
\(200\) −2.62355 + 4.25641i −0.185513 + 0.300973i
\(201\) −4.62546 + 1.27536i −0.326255 + 0.0899570i
\(202\) −17.0932 4.58010i −1.20267 0.322255i
\(203\) 15.3034 7.13608i 1.07409 0.500855i
\(204\) −1.04455 + 0.742731i −0.0731330 + 0.0520016i
\(205\) −12.3264 0.715989i −0.860914 0.0500068i
\(206\) −2.65598 7.29725i −0.185051 0.508424i
\(207\) −25.1007 + 2.56285i −1.74462 + 0.178130i
\(208\) 2.60567 + 2.60567i 0.180671 + 0.180671i
\(209\) 21.4739 + 0.326641i 1.48538 + 0.0225942i
\(210\) 1.88141 8.20848i 0.129830 0.566439i
\(211\) −13.8056 11.5843i −0.950419 0.797497i 0.0289487 0.999581i \(-0.490784\pi\)
−0.979368 + 0.202084i \(0.935228\pi\)
\(212\) 1.97715 + 0.921961i 0.135791 + 0.0633205i
\(213\) 4.68347 + 25.4808i 0.320906 + 1.74592i
\(214\) 13.1511 + 2.31890i 0.898993 + 0.158517i
\(215\) 0.664063 + 3.21351i 0.0452887 + 0.219160i
\(216\) −1.23551 + 5.04713i −0.0840660 + 0.343414i
\(217\) −1.89942 7.08874i −0.128941 0.481215i
\(218\) −0.545823 + 6.23878i −0.0369678 + 0.422544i
\(219\) −1.05749 + 13.1863i −0.0714586 + 0.891050i
\(220\) −7.55917 + 8.01477i −0.509639 + 0.540356i
\(221\) 2.36150 1.36341i 0.158852 0.0917130i
\(222\) 2.12679 5.97765i 0.142741 0.401194i
\(223\) −13.0133 + 9.11200i −0.871434 + 0.610185i −0.921421 0.388565i \(-0.872971\pi\)
0.0499869 + 0.998750i \(0.484082\pi\)
\(224\) 0.377577 + 2.14135i 0.0252279 + 0.143075i
\(225\) 14.9227 + 1.52075i 0.994847 + 0.101383i
\(226\) −12.4641 10.4586i −0.829100 0.695698i
\(227\) −0.303702 0.303702i −0.0201574 0.0201574i 0.696956 0.717114i \(-0.254537\pi\)
−0.717114 + 0.696956i \(0.754537\pi\)
\(228\) 6.50806 + 3.82690i 0.431007 + 0.253442i
\(229\) 22.3564i 1.47735i −0.674060 0.738677i \(-0.735451\pi\)
0.674060 0.738677i \(-0.264549\pi\)
\(230\) −11.2327 15.0831i −0.740660 0.994553i
\(231\) 7.72004 16.8736i 0.507941 1.11020i
\(232\) −6.36123 4.45418i −0.417635 0.292431i
\(233\) −1.31280 1.87488i −0.0860047 0.122827i 0.773844 0.633376i \(-0.218331\pi\)
−0.859849 + 0.510548i \(0.829442\pi\)
\(234\) 3.63016 10.4419i 0.237311 0.682608i
\(235\) 3.62660 6.72848i 0.236573 0.438917i
\(236\) −0.294015 0.169750i −0.0191388 0.0110498i
\(237\) −1.08802 + 0.926465i −0.0706744 + 0.0601804i
\(238\) 1.60288 + 0.140234i 0.103900 + 0.00909004i
\(239\) 5.28097 9.14691i 0.341598 0.591664i −0.643132 0.765755i \(-0.722365\pi\)
0.984730 + 0.174091i \(0.0556987\pi\)
\(240\) −3.70196 + 1.13821i −0.238960 + 0.0734708i
\(241\) −5.03504 1.83260i −0.324335 0.118048i 0.174721 0.984618i \(-0.444098\pi\)
−0.499056 + 0.866570i \(0.666320\pi\)
\(242\) −10.8747 + 7.61453i −0.699050 + 0.489480i
\(243\) 15.2436 3.26087i 0.977876 0.209185i
\(244\) −4.27800 11.7537i −0.273871 0.752455i
\(245\) 4.07472 3.03451i 0.260324 0.193868i
\(246\) −6.81163 6.71368i −0.434294 0.428049i
\(247\) −13.0159 9.41208i −0.828184 0.598877i
\(248\) −2.38657 + 2.38657i −0.151548 + 0.151548i
\(249\) 1.00540 + 10.6065i 0.0637144 + 0.672159i
\(250\) 4.72979 + 10.1306i 0.299138 + 0.640715i
\(251\) −17.1205 + 3.01881i −1.08064 + 0.190546i −0.685497 0.728075i \(-0.740415\pi\)
−0.395140 + 0.918621i \(0.629304\pi\)
\(252\) 5.28869 3.81852i 0.333156 0.240544i
\(253\) −17.5125 37.5558i −1.10100 2.36111i
\(254\) 3.80258 + 6.58627i 0.238595 + 0.413259i
\(255\) 0.104549 + 2.86404i 0.00654708 + 0.179353i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −22.9823 2.01069i −1.43360 0.125423i −0.656272 0.754524i \(-0.727868\pi\)
−0.777323 + 0.629101i \(0.783423\pi\)
\(258\) −1.25491 + 2.21038i −0.0781273 + 0.137612i
\(259\) −6.89792 + 3.98252i −0.428616 + 0.247462i
\(260\) 8.06936 1.66751i 0.500441 0.103415i
\(261\) −3.71275 + 22.9991i −0.229814 + 1.42361i
\(262\) −10.7107 7.49970i −0.661708 0.463333i
\(263\) 2.15675 4.62517i 0.132991 0.285200i −0.828524 0.559954i \(-0.810819\pi\)
0.961514 + 0.274754i \(0.0885965\pi\)
\(264\) −8.49577 + 0.805319i −0.522878 + 0.0495639i
\(265\) 4.15142 2.56153i 0.255019 0.157354i
\(266\) −3.10580 8.95459i −0.190429 0.549041i
\(267\) 0.0785264 + 10.8434i 0.00480574 + 0.663604i
\(268\) −0.241436 2.75962i −0.0147480 0.168571i
\(269\) −13.5207 + 4.92112i −0.824369 + 0.300046i −0.719546 0.694445i \(-0.755650\pi\)
−0.104823 + 0.994491i \(0.533428\pi\)
\(270\) 7.91230 + 8.50856i 0.481527 + 0.517814i
\(271\) 3.77824 21.4274i 0.229512 1.30162i −0.624358 0.781138i \(-0.714639\pi\)
0.853870 0.520487i \(-0.174249\pi\)
\(272\) −0.312731 0.670654i −0.0189621 0.0406644i
\(273\) −11.9682 + 7.02591i −0.724351 + 0.425228i
\(274\) 10.0930 + 5.82717i 0.609738 + 0.352032i
\(275\) 5.68878 + 23.9693i 0.343046 + 1.44540i
\(276\) 1.16450 14.5206i 0.0700944 0.874039i
\(277\) −7.35963 27.4665i −0.442197 1.65030i −0.723232 0.690605i \(-0.757345\pi\)
0.281035 0.959697i \(-0.409322\pi\)
\(278\) 0.144571 + 0.0387378i 0.00867082 + 0.00232334i
\(279\) 9.56389 + 3.32492i 0.572575 + 0.199057i
\(280\) 4.46473 + 1.92506i 0.266818 + 0.115045i
\(281\) −3.50659 + 0.618307i −0.209186 + 0.0368851i −0.277259 0.960795i \(-0.589426\pi\)
0.0680731 + 0.997680i \(0.478315\pi\)
\(282\) 5.54883 2.06524i 0.330428 0.122983i
\(283\) −0.560398 6.40538i −0.0333122 0.380760i −0.994490 0.104831i \(-0.966570\pi\)
0.961178 0.275929i \(-0.0889856\pi\)
\(284\) −14.9578 −0.887582
\(285\) 15.1450 7.45853i 0.897111 0.441805i
\(286\) 18.1559 1.07358
\(287\) 1.04644 + 11.9609i 0.0617694 + 0.706028i
\(288\) −2.73700 1.22834i −0.161279 0.0723808i
\(289\) 16.2025 2.85693i 0.953087 0.168055i
\(290\) −16.1366 + 6.41360i −0.947574 + 0.376620i
\(291\) −1.51348 3.18524i −0.0887218 0.186722i
\(292\) −7.37733 1.97675i −0.431726 0.115681i
\(293\) 1.21842 + 4.54721i 0.0711809 + 0.265651i 0.992340 0.123535i \(-0.0394231\pi\)
−0.921159 + 0.389186i \(0.872756\pi\)
\(294\) 3.92275 + 0.314589i 0.228779 + 0.0183472i
\(295\) −0.678342 + 0.340810i −0.0394946 + 0.0198427i
\(296\) 3.17236 + 1.83157i 0.184390 + 0.106458i
\(297\) 13.2794 + 21.8883i 0.770549 + 1.27009i
\(298\) 4.34570 + 9.31939i 0.251740 + 0.539858i
\(299\) −5.38173 + 30.5213i −0.311233 + 1.76509i
\(300\) −2.42103 + 8.31496i −0.139778 + 0.480065i
\(301\) 2.99845 1.09135i 0.172828 0.0629041i
\(302\) 0.823075 + 9.40779i 0.0473626 + 0.541357i
\(303\) −30.6499 + 0.221962i −1.76079 + 0.0127514i
\(304\) −2.85231 + 3.29611i −0.163591 + 0.189045i
\(305\) −27.2159 6.44578i −1.55838 0.369084i
\(306\) −1.40218 + 1.72107i −0.0801573 + 0.0983871i
\(307\) −2.70925 + 5.81000i −0.154625 + 0.331594i −0.968326 0.249689i \(-0.919671\pi\)
0.813701 + 0.581283i \(0.197449\pi\)
\(308\) 8.77575 + 6.14485i 0.500045 + 0.350135i
\(309\) −7.79440 10.9617i −0.443408 0.623592i
\(310\) 1.52730 + 7.39085i 0.0867447 + 0.419772i
\(311\) 23.3376 13.4740i 1.32336 0.764040i 0.339093 0.940753i \(-0.389880\pi\)
0.984262 + 0.176713i \(0.0565464\pi\)
\(312\) 5.55043 + 3.15117i 0.314231 + 0.178400i
\(313\) 19.8176 + 1.73381i 1.12016 + 0.0980009i 0.632155 0.774842i \(-0.282171\pi\)
0.488001 + 0.872843i \(0.337726\pi\)
\(314\) −13.0627 + 10.9609i −0.737170 + 0.618559i
\(315\) −0.637642 14.5722i −0.0359270 0.821053i
\(316\) −0.412525 0.714514i −0.0232063 0.0401945i
\(317\) −4.22106 9.05208i −0.237078 0.508416i 0.751387 0.659861i \(-0.229385\pi\)
−0.988466 + 0.151446i \(0.951607\pi\)
\(318\) 3.72580 + 0.629173i 0.208932 + 0.0352823i
\(319\) −37.6801 + 6.64402i −2.10968 + 0.371994i
\(320\) −0.259941 2.22091i −0.0145311 0.124153i
\(321\) 23.0266 2.18270i 1.28522 0.121827i
\(322\) −12.9312 + 12.9312i −0.720625 + 0.720625i
\(323\) 1.80968 + 2.67002i 0.100693 + 0.148564i
\(324\) 0.260666 + 8.99622i 0.0144815 + 0.499790i
\(325\) 6.79720 17.1252i 0.377041 0.949938i
\(326\) 7.04545 + 19.3572i 0.390211 + 1.07210i
\(327\) 1.96090 + 10.6685i 0.108438 + 0.589967i
\(328\) 4.52322 3.16719i 0.249753 0.174879i
\(329\) −6.98448 2.54214i −0.385067 0.140153i
\(330\) −8.93193 + 16.8628i −0.491687 + 0.928266i
\(331\) −2.35556 + 4.07995i −0.129473 + 0.224254i −0.923473 0.383664i \(-0.874662\pi\)
0.793999 + 0.607919i \(0.207995\pi\)
\(332\) −6.12770 0.536105i −0.336301 0.0294226i
\(333\) 0.799134 10.9603i 0.0437923 0.600621i
\(334\) 18.6812 + 10.7856i 1.02219 + 0.590163i
\(335\) −5.45267 2.93895i −0.297911 0.160572i
\(336\) 1.61631 + 3.40166i 0.0881772 + 0.185576i
\(337\) −2.57113 3.67196i −0.140058 0.200024i 0.742995 0.669297i \(-0.233405\pi\)
−0.883053 + 0.469273i \(0.844516\pi\)
\(338\) −0.474321 0.332123i −0.0257996 0.0180651i
\(339\) −25.6269 11.7248i −1.39186 0.636806i
\(340\) −1.63722 0.239555i −0.0887909 0.0129917i
\(341\) 16.6293i 0.900527i
\(342\) 12.6287 + 3.39367i 0.682880 + 0.183509i
\(343\) −14.2560 14.2560i −0.769751 0.769751i
\(344\) −1.12416 0.943285i −0.0606108 0.0508585i
\(345\) −25.6998 20.0135i −1.38363 1.07749i
\(346\) −3.67433 20.8382i −0.197533 1.12027i
\(347\) 19.3340 13.5378i 1.03790 0.726749i 0.0751629 0.997171i \(-0.476052\pi\)
0.962742 + 0.270423i \(0.0871634\pi\)
\(348\) −12.6723 4.50868i −0.679305 0.241690i
\(349\) −29.2783 + 16.9038i −1.56723 + 0.904841i −0.570740 + 0.821131i \(0.693344\pi\)
−0.996490 + 0.0837099i \(0.973323\pi\)
\(350\) 9.08146 5.97706i 0.485425 0.319487i
\(351\) 1.25406 19.1066i 0.0669370 1.01983i
\(352\) 0.429418 4.90827i 0.0228881 0.261612i
\(353\) −6.62121 24.7107i −0.352412 1.31522i −0.883711 0.468034i \(-0.844963\pi\)
0.531299 0.847184i \(-0.321704\pi\)
\(354\) −0.569081 0.148076i −0.0302463 0.00787016i
\(355\) −18.3749 + 27.9472i −0.975236 + 1.48328i
\(356\) −6.16548 1.08714i −0.326770 0.0576183i
\(357\) 2.74097 0.503800i 0.145067 0.0266639i
\(358\) −2.62884 1.22585i −0.138939 0.0647882i
\(359\) 13.9345 + 11.6924i 0.735435 + 0.617103i 0.931607 0.363466i \(-0.118407\pi\)
−0.196173 + 0.980569i \(0.562851\pi\)
\(360\) −5.65730 + 3.60486i −0.298166 + 0.189993i
\(361\) 9.99607 16.1579i 0.526109 0.850417i
\(362\) −0.591788 0.591788i −0.0311037 0.0311037i
\(363\) −14.6522 + 17.7209i −0.769043 + 0.930106i
\(364\) −2.74045 7.52932i −0.143639 0.394644i
\(365\) −12.7560 + 11.3555i −0.667680 + 0.594373i
\(366\) −12.5545 17.6561i −0.656233 0.922900i
\(367\) 19.9351 9.29587i 1.04060 0.485240i 0.174264 0.984699i \(-0.444245\pi\)
0.866338 + 0.499459i \(0.166468\pi\)
\(368\) 8.12382 + 2.17677i 0.423484 + 0.113472i
\(369\) −14.4646 8.07410i −0.752996 0.420321i
\(370\) 7.31917 3.67727i 0.380506 0.191172i
\(371\) −3.04907 3.63374i −0.158300 0.188654i
\(372\) −2.88620 + 5.08372i −0.149643 + 0.263579i
\(373\) −4.85967 + 18.1365i −0.251624 + 0.939073i 0.718314 + 0.695719i \(0.244914\pi\)
−0.969938 + 0.243354i \(0.921752\pi\)
\(374\) −3.42604 1.24698i −0.177156 0.0644797i
\(375\) 12.5616 + 14.7379i 0.648677 + 0.761064i
\(376\) 0.593585 + 3.36639i 0.0306118 + 0.173608i
\(377\) 25.9350 + 12.0937i 1.33572 + 0.622857i
\(378\) 7.07274 8.81081i 0.363783 0.453179i
\(379\) 23.3489i 1.19935i −0.800243 0.599675i \(-0.795296\pi\)
0.800243 0.599675i \(-0.204704\pi\)
\(380\) 2.65455 + 9.37835i 0.136175 + 0.481099i
\(381\) 9.38160 + 9.24669i 0.480634 + 0.473722i
\(382\) 10.3413 0.904746i 0.529106 0.0462908i
\(383\) 10.1940 21.8611i 0.520890 1.11705i −0.453308 0.891354i \(-0.649756\pi\)
0.974197 0.225697i \(-0.0724660\pi\)
\(384\) 0.983163 1.42597i 0.0501718 0.0727687i
\(385\) 22.2616 8.84800i 1.13455 0.450936i
\(386\) −9.06897 + 24.9168i −0.461598 + 1.26823i
\(387\) −1.07774 + 4.26852i −0.0547844 + 0.216981i
\(388\) 1.96666 0.526966i 0.0998422 0.0267526i
\(389\) 4.29805 3.60649i 0.217920 0.182856i −0.527292 0.849684i \(-0.676793\pi\)
0.745212 + 0.666828i \(0.232348\pi\)
\(390\) 12.7060 6.49938i 0.643396 0.329109i
\(391\) 3.11178 5.38977i 0.157370 0.272572i
\(392\) −0.588055 + 2.19465i −0.0297013 + 0.110847i
\(393\) −21.3369 7.59146i −1.07630 0.382939i
\(394\) −14.9994 2.64480i −0.755660 0.133243i
\(395\) −1.84176 0.106980i −0.0926691 0.00538276i
\(396\) −13.8150 + 5.25605i −0.694229 + 0.264127i
\(397\) 27.0067 2.36278i 1.35543 0.118585i 0.613835 0.789435i \(-0.289626\pi\)
0.741593 + 0.670850i \(0.234071\pi\)
\(398\) 11.7320 11.7320i 0.588074 0.588074i
\(399\) −9.30850 13.5220i −0.466008 0.676945i
\(400\) −4.46887 2.24259i −0.223443 0.112130i
\(401\) −4.52854 + 5.39691i −0.226145 + 0.269509i −0.867171 0.498010i \(-0.834064\pi\)
0.641027 + 0.767519i \(0.278509\pi\)
\(402\) −1.67364 4.49671i −0.0834737 0.224275i
\(403\) 7.13371 10.1880i 0.355355 0.507500i
\(404\) 3.07291 17.4273i 0.152883 0.867042i
\(405\) 17.1288 + 10.5643i 0.851135 + 0.524947i
\(406\) 8.44271 + 14.6232i 0.419005 + 0.725737i
\(407\) 17.4333 4.67125i 0.864138 0.231545i
\(408\) −0.830944 0.975840i −0.0411378 0.0483113i
\(409\) 15.7306 + 18.7470i 0.777830 + 0.926982i 0.998833 0.0482913i \(-0.0153776\pi\)
−0.221003 + 0.975273i \(0.570933\pi\)
\(410\) −0.361053 12.3419i −0.0178311 0.609523i
\(411\) 19.5354 + 5.08317i 0.963612 + 0.250734i
\(412\) 7.03800 3.28187i 0.346737 0.161686i
\(413\) 0.423415 + 0.604699i 0.0208349 + 0.0297553i
\(414\) −4.74077 24.7818i −0.232996 1.21796i
\(415\) −8.52921 + 10.7904i −0.418682 + 0.529681i
\(416\) −2.36866 + 2.82285i −0.116133 + 0.138402i
\(417\) 0.259232 0.00187732i 0.0126946 9.19329e-5i
\(418\) 1.54618 + 21.4207i 0.0756259 + 1.04772i
\(419\) 17.9196 0.875428 0.437714 0.899114i \(-0.355788\pi\)
0.437714 + 0.899114i \(0.355788\pi\)
\(420\) 8.34122 + 1.15884i 0.407010 + 0.0565455i
\(421\) −26.5640 + 9.66852i −1.29465 + 0.471215i −0.895251 0.445562i \(-0.853004\pi\)
−0.399401 + 0.916776i \(0.630782\pi\)
\(422\) 10.3370 14.7627i 0.503197 0.718639i
\(423\) 8.31430 6.00305i 0.404255 0.291878i
\(424\) −0.746132 + 2.04998i −0.0362354 + 0.0995559i
\(425\) −2.45882 + 2.76471i −0.119271 + 0.134108i
\(426\) −24.9757 + 6.88645i −1.21008 + 0.333649i
\(427\) −2.37040 + 27.0937i −0.114711 + 1.31116i
\(428\) −1.16388 + 13.3032i −0.0562582 + 0.643034i
\(429\) 30.3157 8.35884i 1.46366 0.403569i
\(430\) −3.14341 + 0.941613i −0.151589 + 0.0454086i
\(431\) 8.63054 23.7122i 0.415718 1.14218i −0.538385 0.842699i \(-0.680965\pi\)
0.954103 0.299478i \(-0.0968124\pi\)
\(432\) −5.13560 0.790926i −0.247087 0.0380534i
\(433\) −1.52633 + 2.17983i −0.0733510 + 0.104756i −0.854151 0.520025i \(-0.825923\pi\)
0.780800 + 0.624781i \(0.214812\pi\)
\(434\) 6.89622 2.51002i 0.331029 0.120485i
\(435\) −23.9912 + 18.1382i −1.15029 + 0.869661i
\(436\) −6.26261 −0.299925
\(437\) −36.4678 3.75022i −1.74449 0.179397i
\(438\) −13.2283 + 0.0957978i −0.632073 + 0.00457740i
\(439\) −18.7723 + 22.3719i −0.895952 + 1.06775i 0.101386 + 0.994847i \(0.467672\pi\)
−0.997339 + 0.0729073i \(0.976772\pi\)
\(440\) −8.64310 6.83187i −0.412044 0.325697i
\(441\) 6.69482 1.28072i 0.318801 0.0609866i
\(442\) 1.56404 + 2.23368i 0.0743939 + 0.106246i
\(443\) −4.87997 + 2.27557i −0.231854 + 0.108115i −0.535074 0.844805i \(-0.679716\pi\)
0.303220 + 0.952921i \(0.401938\pi\)
\(444\) 6.14027 + 1.59771i 0.291404 + 0.0758241i
\(445\) −9.60517 + 10.1841i −0.455329 + 0.482772i
\(446\) −10.2115 12.1696i −0.483529 0.576248i
\(447\) 11.5468 + 13.5603i 0.546144 + 0.641378i
\(448\) −2.10029 + 0.562771i −0.0992294 + 0.0265884i
\(449\) 6.57489 + 11.3880i 0.310288 + 0.537435i 0.978425 0.206604i \(-0.0662410\pi\)
−0.668136 + 0.744039i \(0.732908\pi\)
\(450\) −0.214360 + 14.9985i −0.0101050 + 0.707035i
\(451\) 4.72430 26.7928i 0.222459 1.26163i
\(452\) 9.33251 13.3282i 0.438965 0.626906i
\(453\) 5.70559 + 15.3296i 0.268072 + 0.720249i
\(454\) 0.276077 0.329016i 0.0129570 0.0154415i
\(455\) −17.4343 4.12911i −0.817332 0.193576i
\(456\) −3.24512 + 6.81683i −0.151967 + 0.319227i
\(457\) 6.99650 6.99650i 0.327283 0.327283i −0.524270 0.851552i \(-0.675662\pi\)
0.851552 + 0.524270i \(0.175662\pi\)
\(458\) 22.2713 1.94849i 1.04067 0.0910470i
\(459\) −1.54891 + 3.51930i −0.0722970 + 0.164267i
\(460\) 14.0468 12.5045i 0.654934 0.583026i
\(461\) −2.31685 0.408522i −0.107906 0.0190268i 0.119434 0.992842i \(-0.461892\pi\)
−0.227341 + 0.973815i \(0.573003\pi\)
\(462\) 17.4823 + 6.22003i 0.813349 + 0.289382i
\(463\) 10.2542 38.2691i 0.476551 1.77851i −0.138864 0.990311i \(-0.544345\pi\)
0.615416 0.788203i \(-0.288988\pi\)
\(464\) 3.88281 6.72523i 0.180255 0.312211i
\(465\) 5.95288 + 11.6377i 0.276058 + 0.539683i
\(466\) 1.75333 1.47122i 0.0812213 0.0681528i
\(467\) −22.9106 + 6.13887i −1.06017 + 0.284073i −0.746450 0.665441i \(-0.768243\pi\)
−0.313724 + 0.949514i \(0.601577\pi\)
\(468\) 10.7186 + 2.70627i 0.495465 + 0.125097i
\(469\) −2.06012 + 5.66014i −0.0951276 + 0.261361i
\(470\) 7.01895 + 3.02637i 0.323760 + 0.139596i
\(471\) −16.7650 + 24.3158i −0.772491 + 1.12041i
\(472\) 0.143479 0.307691i 0.00660414 0.0141626i
\(473\) −7.20284 + 0.630167i −0.331187 + 0.0289751i
\(474\) −1.01777 1.00313i −0.0467476 0.0460753i
\(475\) 20.7835 + 6.56103i 0.953611 + 0.301041i
\(476\) 1.60901i 0.0737487i
\(477\) 6.51079 0.664768i 0.298108 0.0304376i
\(478\) 9.57237 + 4.46367i 0.437830 + 0.204163i
\(479\) 0.354826 + 2.01232i 0.0162124 + 0.0919451i 0.991840 0.127486i \(-0.0406909\pi\)
−0.975628 + 0.219431i \(0.929580\pi\)
\(480\) −1.45652 3.58867i −0.0664808 0.163800i
\(481\) −12.6845 4.61677i −0.578363 0.210507i
\(482\) 1.38680 5.17560i 0.0631669 0.235742i
\(483\) −15.6383 + 27.5451i −0.711567 + 1.25334i
\(484\) −8.53334 10.1696i −0.387879 0.462256i
\(485\) 1.43136 4.32186i 0.0649946 0.196246i
\(486\) 4.57703 + 14.9014i 0.207618 + 0.675940i
\(487\) 19.8402 + 5.31616i 0.899045 + 0.240898i 0.678606 0.734502i \(-0.262584\pi\)
0.220439 + 0.975401i \(0.429251\pi\)
\(488\) 11.3361 5.28613i 0.513163 0.239292i
\(489\) 20.6760 + 29.0779i 0.935000 + 1.31495i
\(490\) 3.37810 + 3.79474i 0.152607 + 0.171429i
\(491\) −3.53820 9.72113i −0.159677 0.438708i 0.833894 0.551925i \(-0.186107\pi\)
−0.993570 + 0.113217i \(0.963884\pi\)
\(492\) 6.09446 7.37085i 0.274760 0.332303i
\(493\) −4.06335 4.06335i −0.183004 0.183004i
\(494\) 8.24186 13.7867i 0.370819 0.620294i
\(495\) −7.15054 + 32.2687i −0.321393 + 1.45037i
\(496\) −2.58549 2.16949i −0.116092 0.0974129i
\(497\) 29.4767 + 13.7452i 1.32221 + 0.616557i
\(498\) −10.4785 + 1.92599i −0.469553 + 0.0863055i
\(499\) 10.1905 + 1.79686i 0.456189 + 0.0804384i 0.397021 0.917810i \(-0.370044\pi\)
0.0591679 + 0.998248i \(0.481155\pi\)
\(500\) −9.67982 + 5.59473i −0.432895 + 0.250204i
\(501\) 36.1585 + 9.40852i 1.61544 + 0.420342i
\(502\) −4.49947 16.7923i −0.200821 0.749476i
\(503\) 1.55828 17.8112i 0.0694803 0.794163i −0.878895 0.477014i \(-0.841719\pi\)
0.948376 0.317149i \(-0.102726\pi\)
\(504\) 4.26493 + 4.93576i 0.189975 + 0.219856i
\(505\) −28.7863 27.1499i −1.28097 1.20816i
\(506\) 35.8866 20.7191i 1.59535 0.921077i
\(507\) −0.944900 0.336186i −0.0419645 0.0149306i
\(508\) −6.22979 + 4.36214i −0.276402 + 0.193539i
\(509\) −0.619879 3.51551i −0.0274757 0.155822i 0.967983 0.251015i \(-0.0807644\pi\)
−0.995459 + 0.0951928i \(0.969653\pi\)
\(510\) −2.84403 + 0.353768i −0.125936 + 0.0156651i
\(511\) 12.7217 + 10.6748i 0.562774 + 0.472224i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 22.6490 0.147568i 0.999979 0.00651530i
\(514\) 23.0701i 1.01758i
\(515\) 2.51395 17.1814i 0.110778 0.757103i
\(516\) −2.31134 1.05749i −0.101751 0.0465533i
\(517\) 13.7963 + 9.66025i 0.606759 + 0.424857i
\(518\) −4.56856 6.52458i −0.200731 0.286673i
\(519\) −15.7289 33.1028i −0.690422 1.45305i
\(520\) 2.36446 + 7.89332i 0.103688 + 0.346145i
\(521\) 30.4405 + 17.5748i 1.33362 + 0.769966i 0.985853 0.167614i \(-0.0536064\pi\)
0.347768 + 0.937581i \(0.386940\pi\)
\(522\) −23.2352 1.69412i −1.01698 0.0741496i
\(523\) −14.3900 1.25896i −0.629232 0.0550507i −0.231921 0.972735i \(-0.574501\pi\)
−0.397311 + 0.917684i \(0.630057\pi\)
\(524\) 6.53766 11.3236i 0.285599 0.494672i
\(525\) 12.4119 14.1612i 0.541700 0.618045i
\(526\) 4.79554 + 1.74543i 0.209095 + 0.0761045i
\(527\) −2.04586 + 1.43253i −0.0891193 + 0.0624020i
\(528\) −1.54271 8.39325i −0.0671378 0.365269i
\(529\) 16.3263 + 44.8561i 0.709839 + 1.95027i
\(530\) 2.91360 + 3.91237i 0.126559 + 0.169942i
\(531\) −1.01839 + 0.0147509i −0.0441944 + 0.000640135i
\(532\) 8.64982 3.87442i 0.375017 0.167978i
\(533\) −14.3881 + 14.3881i −0.623216 + 0.623216i
\(534\) −10.7953 + 1.02329i −0.467157 + 0.0442821i
\(535\) 23.4259 + 18.5168i 1.01279 + 0.800553i
\(536\) 2.72808 0.481034i 0.117835 0.0207775i
\(537\) −4.95386 0.836556i −0.213775 0.0361001i
\(538\) −6.08079 13.0403i −0.262162 0.562207i
\(539\) 5.59727 + 9.69476i 0.241092 + 0.417583i
\(540\) −7.78658 + 8.62376i −0.335081 + 0.371107i
\(541\) −19.1021 + 16.0286i −0.821265 + 0.689124i −0.953268 0.302126i \(-0.902304\pi\)
0.132003 + 0.991249i \(0.457859\pi\)
\(542\) 21.6752 + 1.89633i 0.931030 + 0.0814545i
\(543\) −1.26059 0.715679i −0.0540970 0.0307127i
\(544\) 0.640845 0.369992i 0.0274760 0.0158633i
\(545\) −7.69328 + 11.7011i −0.329544 + 0.501219i
\(546\) −8.04228 11.3103i −0.344178 0.484038i
\(547\) −10.1408 7.10067i −0.433589 0.303603i 0.336329 0.941744i \(-0.390814\pi\)
−0.769919 + 0.638142i \(0.779703\pi\)
\(548\) −4.92534 + 10.5624i −0.210400 + 0.451204i
\(549\) −29.0915 23.7012i −1.24159 1.01154i
\(550\) −23.3823 + 7.75619i −0.997023 + 0.330725i
\(551\) −12.0597 + 31.6284i −0.513759 + 1.34742i
\(552\) 14.5669 0.105491i 0.620007 0.00449001i
\(553\) 0.156355 + 1.78714i 0.00664889 + 0.0759971i
\(554\) 26.7205 9.72548i 1.13525 0.413196i
\(555\) 10.5282 9.50978i 0.446895 0.403667i
\(556\) −0.0259902 + 0.147397i −0.00110223 + 0.00625105i
\(557\) −3.09740 6.64240i −0.131241 0.281448i 0.829695 0.558216i \(-0.188514\pi\)
−0.960937 + 0.276769i \(0.910736\pi\)
\(558\) −2.47871 + 9.81729i −0.104932 + 0.415599i
\(559\) 4.68318 + 2.70383i 0.198077 + 0.114360i
\(560\) −1.52861 + 4.61552i −0.0645956 + 0.195041i
\(561\) −6.29471 0.504810i −0.265763 0.0213131i
\(562\) −0.921574 3.43936i −0.0388743 0.145081i
\(563\) 41.0471 + 10.9985i 1.72993 + 0.463533i 0.980167 0.198173i \(-0.0635009\pi\)
0.749763 + 0.661707i \(0.230168\pi\)
\(564\) 2.54099 + 5.34772i 0.106995 + 0.225180i
\(565\) −13.4379 33.8099i −0.565339 1.42239i
\(566\) 6.33216 1.11653i 0.266161 0.0469313i
\(567\) 7.75324 17.9680i 0.325605 0.754586i
\(568\) −1.30366 14.9009i −0.0547003 0.625227i
\(569\) −25.5161 −1.06969 −0.534846 0.844949i \(-0.679630\pi\)
−0.534846 + 0.844949i \(0.679630\pi\)
\(570\) 8.75012 + 14.4373i 0.366502 + 0.604712i
\(571\) −11.4610 −0.479627 −0.239813 0.970819i \(-0.577086\pi\)
−0.239813 + 0.970819i \(0.577086\pi\)
\(572\) 1.58239 + 18.0869i 0.0661632 + 0.756249i
\(573\) 16.8508 6.27174i 0.703950 0.262006i
\(574\) −11.8241 + 2.08492i −0.493530 + 0.0870227i
\(575\) −6.10775 41.6061i −0.254711 1.73509i
\(576\) 0.985124 2.83364i 0.0410468 0.118068i
\(577\) 14.3860 + 3.85472i 0.598898 + 0.160474i 0.545516 0.838100i \(-0.316334\pi\)
0.0533811 + 0.998574i \(0.483000\pi\)
\(578\) 4.25820 + 15.8918i 0.177118 + 0.661013i
\(579\) −3.67136 + 45.7799i −0.152577 + 1.90255i
\(580\) −7.79559 15.5162i −0.323694 0.644276i
\(581\) 11.5830 + 6.68743i 0.480542 + 0.277441i
\(582\) 3.04121 1.78533i 0.126062 0.0740044i
\(583\) 4.54252 + 9.74147i 0.188132 + 0.403450i
\(584\) 1.32625 7.52154i 0.0548806 0.311244i
\(585\) 18.2236 16.7020i 0.753452 0.690545i
\(586\) −4.42371 + 1.61010i −0.182742 + 0.0665126i
\(587\) 1.36901 + 15.6478i 0.0565049 + 0.645855i 0.970655 + 0.240478i \(0.0773041\pi\)
−0.914150 + 0.405377i \(0.867140\pi\)
\(588\) 0.0284985 + 3.93524i 0.00117526 + 0.162287i
\(589\) 12.6275 + 7.54884i 0.520305 + 0.311044i
\(590\) −0.398634 0.646057i −0.0164115 0.0265978i
\(591\) −26.2628 + 2.48947i −1.08031 + 0.102403i
\(592\) −1.54811 + 3.31992i −0.0636268 + 0.136448i
\(593\) 7.22469 + 5.05878i 0.296682 + 0.207739i 0.712434 0.701739i \(-0.247593\pi\)
−0.415752 + 0.909478i \(0.636482\pi\)
\(594\) −20.6476 + 15.1366i −0.847182 + 0.621060i
\(595\) 3.00627 + 1.97658i 0.123245 + 0.0810318i
\(596\) −8.90518 + 5.14141i −0.364770 + 0.210600i
\(597\) 14.1881 24.9908i 0.580682 1.02281i
\(598\) −30.8742 2.70114i −1.26254 0.110458i
\(599\) −22.1424 + 18.5797i −0.904714 + 0.759146i −0.971106 0.238648i \(-0.923296\pi\)
0.0663917 + 0.997794i \(0.478851\pi\)
\(600\) −8.49433 1.68712i −0.346780 0.0688765i
\(601\) 3.46989 + 6.01002i 0.141540 + 0.245154i 0.928077 0.372389i \(-0.121461\pi\)
−0.786537 + 0.617543i \(0.788128\pi\)
\(602\) 1.34853 + 2.89192i 0.0549618 + 0.117866i
\(603\) −4.86480 6.73781i −0.198110 0.274385i
\(604\) −9.30025 + 1.63989i −0.378422 + 0.0667260i
\(605\) −29.4837 + 3.45085i −1.19868 + 0.140297i
\(606\) −2.89243 30.5139i −0.117497 1.23954i
\(607\) −7.78815 + 7.78815i −0.316111 + 0.316111i −0.847271 0.531160i \(-0.821756\pi\)
0.531160 + 0.847271i \(0.321756\pi\)
\(608\) −3.53216 2.55418i −0.143248 0.103586i
\(609\) 20.8295 + 20.5300i 0.844056 + 0.831918i
\(610\) 4.04923 27.6742i 0.163948 1.12049i
\(611\) −4.30823 11.8368i −0.174292 0.478864i
\(612\) −1.83673 1.24684i −0.0742454 0.0504006i
\(613\) 19.6591 13.7654i 0.794022 0.555980i −0.104698 0.994504i \(-0.533387\pi\)
0.898719 + 0.438524i \(0.144499\pi\)
\(614\) −6.02402 2.19256i −0.243109 0.0884846i
\(615\) −6.28498 20.4416i −0.253435 0.824284i
\(616\) −5.35661 + 9.27791i −0.215824 + 0.373818i
\(617\) −21.4864 1.87981i −0.865009 0.0756785i −0.353991 0.935249i \(-0.615176\pi\)
−0.511018 + 0.859570i \(0.670731\pi\)
\(618\) 10.2407 8.72012i 0.411941 0.350775i
\(619\) 26.8037 + 15.4751i 1.07733 + 0.621998i 0.930175 0.367115i \(-0.119655\pi\)
0.147156 + 0.989113i \(0.452988\pi\)
\(620\) −7.22961 + 2.16564i −0.290348 + 0.0869742i
\(621\) −19.3252 39.1967i −0.775494 1.57291i
\(622\) 15.4567 + 22.0745i 0.619758 + 0.885106i
\(623\) 11.1510 + 7.80804i 0.446757 + 0.312823i
\(624\) −2.65543 + 5.80395i −0.106302 + 0.232344i
\(625\) −1.43794 + 24.9586i −0.0575176 + 0.998344i
\(626\) 19.8933i 0.795095i
\(627\) 12.4436 + 35.0551i 0.496950 + 1.39997i
\(628\) −12.0577 12.0577i −0.481153 0.481153i
\(629\) 2.07649 + 1.74238i 0.0827949 + 0.0694732i
\(630\) 14.4612 1.90527i 0.576149 0.0759078i
\(631\) 0.988036 + 5.60343i 0.0393331 + 0.223069i 0.998138 0.0609963i \(-0.0194278\pi\)
−0.958805 + 0.284065i \(0.908317\pi\)
\(632\) 0.675841 0.473229i 0.0268835 0.0188240i
\(633\) 10.4635 29.4090i 0.415885 1.16890i
\(634\) 8.64975 4.99393i 0.343525 0.198334i
\(635\) 0.497275 + 16.9984i 0.0197338 + 0.674561i
\(636\) −0.302055 + 3.76646i −0.0119772 + 0.149350i
\(637\) 0.729714 8.34067i 0.0289123 0.330469i
\(638\) −9.90277 36.9577i −0.392055 1.46317i
\(639\) −38.5325 + 22.9972i −1.52432 + 0.909754i
\(640\) 2.18980 0.452516i 0.0865595 0.0178873i
\(641\) 10.7306 + 1.89210i 0.423835 + 0.0747336i 0.381498 0.924370i \(-0.375408\pi\)
0.0423375 + 0.999103i \(0.486520\pi\)
\(642\) 4.18130 + 22.7487i 0.165023 + 0.897821i
\(643\) 14.2690 + 6.65376i 0.562716 + 0.262399i 0.683095 0.730329i \(-0.260633\pi\)
−0.120379 + 0.992728i \(0.538411\pi\)
\(644\) −14.0090 11.7549i −0.552031 0.463209i
\(645\) −4.81517 + 3.01945i −0.189597 + 0.118891i
\(646\) −2.50214 + 2.03550i −0.0984453 + 0.0800858i
\(647\) 3.12362 + 3.12362i 0.122802 + 0.122802i 0.765837 0.643035i \(-0.222325\pi\)
−0.643035 + 0.765837i \(0.722325\pi\)
\(648\) −8.93927 + 1.04375i −0.351168 + 0.0410023i
\(649\) −0.572104 1.57184i −0.0224571 0.0617002i
\(650\) 17.6525 + 5.27877i 0.692388 + 0.207050i
\(651\) 10.3593 7.36604i 0.406014 0.288698i
\(652\) −18.6695 + 8.70573i −0.731154 + 0.340943i
\(653\) 30.2523 + 8.10609i 1.18387 + 0.317216i 0.796458 0.604693i \(-0.206704\pi\)
0.387407 + 0.921909i \(0.373371\pi\)
\(654\) −10.4569 + 2.88325i −0.408899 + 0.112744i
\(655\) −13.1258 26.1254i −0.512867 1.02080i
\(656\) 3.54936 + 4.22997i 0.138579 + 0.165152i
\(657\) −22.0438 + 6.25016i −0.860010 + 0.243842i
\(658\) 1.92373 7.17947i 0.0749949 0.279885i
\(659\) −15.2774 5.56052i −0.595123 0.216607i 0.0268584 0.999639i \(-0.491450\pi\)
−0.621981 + 0.783032i \(0.713672\pi\)
\(660\) −17.5771 7.42825i −0.684187 0.289144i
\(661\) −0.254930 1.44578i −0.00991563 0.0562344i 0.979448 0.201695i \(-0.0646448\pi\)
−0.989364 + 0.145460i \(0.953534\pi\)
\(662\) −4.26973 1.99101i −0.165948 0.0773827i
\(663\) 3.63992 + 3.00960i 0.141363 + 0.116883i
\(664\) 6.15111i 0.238709i
\(665\) 3.38686 20.9209i 0.131337 0.811276i
\(666\) 10.9882 0.159159i 0.425786 0.00616729i
\(667\) 65.0635 5.69232i 2.51927 0.220407i
\(668\) −9.11640 + 19.5502i −0.352724 + 0.756419i
\(669\) −22.6534 15.6188i −0.875830 0.603858i
\(670\) 2.45253 5.68807i 0.0947497 0.219749i
\(671\) 21.0778 57.9108i 0.813700 2.23562i
\(672\) −3.24785 + 1.90664i −0.125288 + 0.0735502i
\(673\) −8.49582 + 2.27645i −0.327490 + 0.0877506i −0.418818 0.908070i \(-0.637555\pi\)
0.0913282 + 0.995821i \(0.470889\pi\)
\(674\) 3.43389 2.88138i 0.132269 0.110987i
\(675\) 6.54724 + 25.1423i 0.252003 + 0.967726i
\(676\) 0.289519 0.501462i 0.0111354 0.0192870i
\(677\) 1.68145 6.27526i 0.0646234 0.241178i −0.926057 0.377383i \(-0.876824\pi\)
0.990681 + 0.136205i \(0.0434907\pi\)
\(678\) 9.44670 26.5513i 0.362798 1.01970i
\(679\) −4.35987 0.768762i −0.167316 0.0295024i
\(680\) 0.0959502 1.65187i 0.00367952 0.0633464i
\(681\) 0.309502 0.676476i 0.0118601 0.0259226i
\(682\) −16.5660 + 1.44934i −0.634346 + 0.0554981i
\(683\) −0.683329 + 0.683329i −0.0261469 + 0.0261469i −0.720059 0.693912i \(-0.755885\pi\)
0.693912 + 0.720059i \(0.255885\pi\)
\(684\) −2.28010 + 12.8764i −0.0871817 + 0.492341i
\(685\) 13.6843 + 22.1779i 0.522851 + 0.847373i
\(686\) 12.9592 15.4442i 0.494786 0.589663i
\(687\) 36.2903 13.5070i 1.38456 0.515325i
\(688\) 0.841718 1.20210i 0.0320902 0.0458296i
\(689\) 1.39595 7.91681i 0.0531814 0.301606i
\(690\) 17.6975 27.3463i 0.673732 1.04106i
\(691\) 9.93672 + 17.2109i 0.378011 + 0.654734i 0.990773 0.135534i \(-0.0432749\pi\)
−0.612762 + 0.790268i \(0.709942\pi\)
\(692\) 20.4386 5.47652i 0.776961 0.208186i
\(693\) 32.0545 + 2.33715i 1.21765 + 0.0887811i
\(694\) 15.1714 + 18.0805i 0.575898 + 0.686328i
\(695\) 0.243470 + 0.229630i 0.00923534 + 0.00871036i
\(696\) 3.38706 13.0170i 0.128386 0.493408i
\(697\) 3.70324 1.72685i 0.140270 0.0654090i
\(698\) −19.3913 27.6936i −0.733970 1.04822i
\(699\) 2.25027 3.26377i 0.0851130 0.123447i
\(700\) 6.74582 + 8.52597i 0.254968 + 0.322251i
\(701\) −27.9461 + 33.3048i −1.05551 + 1.25791i −0.0904423 + 0.995902i \(0.528828\pi\)
−0.965067 + 0.262005i \(0.915616\pi\)
\(702\) 19.1432 0.415956i 0.722512 0.0156992i
\(703\) 4.36672 15.3585i 0.164694 0.579257i
\(704\) 4.92702 0.185694
\(705\) 13.1132 + 1.82180i 0.493870 + 0.0686128i
\(706\) 24.0396 8.74970i 0.904742 0.329299i
\(707\) −22.0702 + 31.5195i −0.830035 + 1.18541i
\(708\) 0.0979141 0.579821i 0.00367984 0.0217910i
\(709\) −6.48650 + 17.8215i −0.243606 + 0.669301i 0.756281 + 0.654247i \(0.227014\pi\)
−0.999887 + 0.0150539i \(0.995208\pi\)
\(710\) −29.4423 15.8692i −1.10495 0.595559i
\(711\) −2.16124 1.20640i −0.0810529 0.0452435i
\(712\) 0.545647 6.23677i 0.0204490 0.233733i
\(713\) 2.47402 28.2781i 0.0926526 1.05902i
\(714\) 0.740774 + 2.68663i 0.0277228 + 0.100545i
\(715\) 35.7374 + 19.2622i 1.33650 + 0.720365i
\(716\) 0.992067 2.72568i 0.0370753 0.101863i
\(717\) 18.0384 + 3.04614i 0.673657 + 0.113760i
\(718\) −10.4335 + 14.9005i −0.389374 + 0.556083i
\(719\) 27.7799 10.1111i 1.03602 0.377079i 0.232648 0.972561i \(-0.425261\pi\)
0.803369 + 0.595482i \(0.203039\pi\)
\(720\) −4.08421 5.32158i −0.152209 0.198324i
\(721\) −16.8853 −0.628842
\(722\) 16.9677 + 8.54978i 0.631471 + 0.318190i
\(723\) −0.0672074 9.28039i −0.00249947 0.345141i
\(724\) 0.537958 0.641113i 0.0199931 0.0238268i
\(725\) −38.5670 4.49555i −1.43234 0.166961i
\(726\) −18.9305 13.0520i −0.702577 0.484405i
\(727\) −16.8684 24.0906i −0.625615 0.893470i 0.373806 0.927507i \(-0.378053\pi\)
−0.999421 + 0.0340367i \(0.989164\pi\)
\(728\) 7.26182 3.38624i 0.269141 0.125503i
\(729\) 14.5029 + 22.7742i 0.537145 + 0.843490i
\(730\) −12.4240 11.7178i −0.459834 0.433694i
\(731\) −0.698016 0.831863i −0.0258171 0.0307676i
\(732\) 16.4947 14.0455i 0.609663 0.519138i
\(733\) −12.4556 + 3.33746i −0.460057 + 0.123272i −0.481401 0.876500i \(-0.659872\pi\)
0.0213443 + 0.999772i \(0.493205\pi\)
\(734\) 10.9980 + 19.0490i 0.405942 + 0.703112i
\(735\) 7.38761 + 4.78098i 0.272496 + 0.176349i
\(736\) −1.46045 + 8.28263i −0.0538329 + 0.305302i
\(737\) 7.82855 11.1803i 0.288368 0.411833i
\(738\) 6.78270 15.1133i 0.249675 0.556326i
\(739\) 27.2595 32.4866i 1.00276 1.19504i 0.0220113 0.999758i \(-0.492993\pi\)
0.980747 0.195283i \(-0.0625625\pi\)
\(740\) 4.30118 + 6.97083i 0.158115 + 0.256253i
\(741\) 7.41449 26.8147i 0.272378 0.985064i
\(742\) 3.35417 3.35417i 0.123135 0.123135i
\(743\) −30.3735 + 2.65734i −1.11430 + 0.0974882i −0.629398 0.777083i \(-0.716698\pi\)
−0.484897 + 0.874571i \(0.661143\pi\)
\(744\) −5.31592 2.43215i −0.194891 0.0891668i
\(745\) −1.33332 + 22.9544i −0.0488491 + 0.840983i
\(746\) −18.4910 3.26047i −0.677005 0.119374i
\(747\) −16.6097 + 8.04012i −0.607717 + 0.294172i
\(748\) 0.943633 3.52169i 0.0345026 0.128766i
\(749\) 14.5183 25.1465i 0.530489 0.918833i
\(750\) −13.5870 + 13.7983i −0.496129 + 0.503842i
\(751\) −40.8950 + 34.3149i −1.49228 + 1.25217i −0.600559 + 0.799580i \(0.705055\pi\)
−0.891719 + 0.452590i \(0.850500\pi\)
\(752\) −3.30184 + 0.884727i −0.120406 + 0.0322627i
\(753\) −15.2440 25.9672i −0.555522 0.946299i
\(754\) −9.78729 + 26.8904i −0.356432 + 0.979289i
\(755\) −8.36089 + 19.3911i −0.304284 + 0.705714i
\(756\) 9.39371 + 6.27792i 0.341646 + 0.228326i
\(757\) 0.233156 0.500005i 0.00847420 0.0181730i −0.902025 0.431684i \(-0.857920\pi\)
0.910499 + 0.413511i \(0.135698\pi\)
\(758\) 23.2600 2.03499i 0.844842 0.0739141i
\(759\) 50.3824 51.1174i 1.82876 1.85545i
\(760\) −9.11130 + 3.46182i −0.330502 + 0.125574i
\(761\) 1.00258i 0.0363436i 0.999835 + 0.0181718i \(0.00578458\pi\)
−0.999835 + 0.0181718i \(0.994215\pi\)
\(762\) −8.39385 + 10.1518i −0.304077 + 0.367761i
\(763\) 12.3415 + 5.75492i 0.446791 + 0.208342i
\(764\) 1.80261 + 10.2231i 0.0652160 + 0.369858i
\(765\) −4.58593 + 1.90007i −0.165804 + 0.0686971i
\(766\) 22.6664 + 8.24990i 0.818970 + 0.298081i
\(767\) −0.323795 + 1.20842i −0.0116916 + 0.0436335i
\(768\) 1.50623 + 0.855140i 0.0543515 + 0.0308572i
\(769\) −26.1803 31.2004i −0.944084 1.12512i −0.991997 0.126264i \(-0.959701\pi\)
0.0479127 0.998852i \(-0.484743\pi\)
\(770\) 10.7546 + 21.4057i 0.387567 + 0.771408i
\(771\) −10.6213 38.5211i −0.382516 1.38730i
\(772\) −25.6124 6.86282i −0.921810 0.246998i
\(773\) 9.92424 4.62775i 0.356950 0.166449i −0.235868 0.971785i \(-0.575793\pi\)