Properties

Label 930.2.br.b.11.8
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.8
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.668302 - 1.59793i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.141806 + 1.72624i) q^{6} +(0.349465 + 3.32494i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-2.10675 - 2.13580i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.668302 - 1.59793i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.141806 + 1.72624i) q^{6} +(0.349465 + 3.32494i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-2.10675 - 2.13580i) q^{9} +(0.669131 - 0.743145i) q^{10} +(3.04488 + 1.35567i) q^{11} +(-0.398571 - 1.68557i) q^{12} +(-0.767976 - 3.61304i) q^{13} +(-1.35982 - 3.05421i) q^{14} +(0.220198 + 1.71800i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-2.24674 + 1.00031i) q^{17} +(2.66363 + 1.38024i) q^{18} +(5.45440 + 1.15937i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(5.54655 + 1.66364i) q^{21} +(-3.31478 - 0.348398i) q^{22} +(2.39951 + 1.74334i) q^{23} +(0.899933 + 1.47991i) q^{24} +(0.500000 - 0.866025i) q^{25} +(1.84688 + 3.19889i) q^{26} +(-4.82079 + 1.93907i) q^{27} +(2.23707 + 2.48452i) q^{28} +(-0.463163 - 1.42547i) q^{29} +(-0.740311 - 1.56587i) q^{30} +(-1.60598 + 5.33112i) q^{31} +1.00000i q^{32} +(4.20116 - 3.95951i) q^{33} +(1.82766 - 1.64563i) q^{34} +(-1.96511 - 2.70475i) q^{35} +(-2.95978 - 0.489581i) q^{36} +(10.2925 + 5.94236i) q^{37} +(-5.54571 + 0.582877i) q^{38} +(-6.28662 - 1.18743i) q^{39} +(0.104528 - 0.994522i) q^{40} +(4.72947 + 4.25843i) q^{41} +(-5.78918 + 0.131764i) q^{42} +(-2.42388 + 11.4035i) q^{43} +(3.26021 - 0.692978i) q^{44} +(2.89239 + 0.796280i) q^{45} +(-2.82079 - 0.916530i) q^{46} +(7.66790 + 2.49145i) q^{47} +(-1.31320 - 1.12938i) q^{48} +(-4.08604 + 0.868514i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(0.0969279 + 4.25863i) q^{51} +(-2.74500 - 2.47161i) q^{52} +(0.935941 - 8.90488i) q^{53} +(3.98564 - 3.33387i) q^{54} +(-3.31478 + 0.348398i) q^{55} +(-2.89534 - 1.67162i) q^{56} +(5.49777 - 7.94093i) q^{57} +(0.880989 + 1.21258i) q^{58} +(9.40535 - 8.46861i) q^{59} +(1.18796 + 1.26046i) q^{60} -10.1925i q^{61} +(-0.120033 - 5.56647i) q^{62} +(6.36515 - 7.75118i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(2.47161 + 2.74500i) q^{65} +(-2.77199 + 5.06395i) q^{66} +(-6.36095 - 11.0175i) q^{67} +(-1.22968 + 2.12987i) q^{68} +(4.38933 - 2.66916i) q^{69} +(2.70475 + 1.96511i) q^{70} +(12.8607 + 1.35172i) q^{71} +(2.96621 - 0.449004i) q^{72} +(1.97090 - 4.42672i) q^{73} +(-11.6250 - 2.47097i) q^{74} +(-1.04970 - 1.37773i) q^{75} +(5.09416 - 2.26807i) q^{76} +(-3.44343 + 10.5978i) q^{77} +(6.34587 - 0.813358i) q^{78} +(0.269267 + 0.604785i) q^{79} +(0.207912 + 0.978148i) q^{80} +(-0.123244 + 8.99916i) q^{81} +(-5.81392 - 2.58852i) q^{82} +(-0.713673 + 0.792614i) q^{83} +(5.46512 - 1.91427i) q^{84} +(1.44558 - 1.98966i) q^{85} +(-1.21862 - 11.5944i) q^{86} +(-2.58733 - 0.212543i) q^{87} +(-2.88650 + 1.66652i) q^{88} +(-3.28978 + 2.39017i) q^{89} +(-2.99689 + 0.136491i) q^{90} +(11.7448 - 3.81610i) q^{91} +2.96595 q^{92} +(7.44547 + 6.12903i) q^{93} -8.06251 q^{94} +(-5.30333 + 1.72316i) q^{95} +(1.59793 + 0.668302i) q^{96} +(-15.6402 + 11.3633i) q^{97} +(3.61766 - 2.08866i) q^{98} +(-3.51936 - 9.35930i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + 22q^{10} + 38q^{13} - 44q^{16} + 4q^{18} + 8q^{19} - 42q^{21} + 4q^{22} + 88q^{25} + 30q^{27} + 36q^{28} + 32q^{31} - 70q^{33} + 14q^{34} - 4q^{36} + 42q^{37} + 58q^{39} - 22q^{40} - 12q^{42} - 46q^{43} + 16q^{45} + 10q^{46} + 38q^{49} + 38q^{51} + 2q^{52} + 4q^{55} + 78q^{57} - 40q^{58} + 16q^{63} + 44q^{64} + 34q^{66} - 76q^{67} + 148q^{69} - 8q^{70} - 4q^{72} - 52q^{73} + 12q^{76} + 60q^{78} + 8q^{79} - 108q^{81} - 40q^{82} - 8q^{84} + 28q^{87} + 6q^{88} + 24q^{90} - 20q^{91} - 28q^{93} - 20q^{94} - 112q^{97} - 132q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 + 0.309017i −0.672499 + 0.218508i
\(3\) 0.668302 1.59793i 0.385844 0.922564i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −0.141806 + 1.72624i −0.0578920 + 0.704733i
\(7\) 0.349465 + 3.32494i 0.132085 + 1.25671i 0.836916 + 0.547332i \(0.184356\pi\)
−0.704831 + 0.709376i \(0.748977\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) −2.10675 2.13580i −0.702249 0.711932i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) 3.04488 + 1.35567i 0.918067 + 0.408750i 0.810695 0.585469i \(-0.199090\pi\)
0.107372 + 0.994219i \(0.465756\pi\)
\(12\) −0.398571 1.68557i −0.115058 0.486582i
\(13\) −0.767976 3.61304i −0.212998 1.00208i −0.946578 0.322475i \(-0.895485\pi\)
0.733580 0.679603i \(-0.237848\pi\)
\(14\) −1.35982 3.05421i −0.363428 0.816272i
\(15\) 0.220198 + 1.71800i 0.0568548 + 0.443585i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −2.24674 + 1.00031i −0.544914 + 0.242611i −0.660683 0.750665i \(-0.729733\pi\)
0.115769 + 0.993276i \(0.463067\pi\)
\(18\) 2.66363 + 1.38024i 0.627824 + 0.325326i
\(19\) 5.45440 + 1.15937i 1.25132 + 0.265977i 0.785479 0.618888i \(-0.212417\pi\)
0.465846 + 0.884866i \(0.345750\pi\)
\(20\) −0.406737 + 0.913545i −0.0909491 + 0.204275i
\(21\) 5.54655 + 1.66364i 1.21036 + 0.363036i
\(22\) −3.31478 0.348398i −0.706714 0.0742786i
\(23\) 2.39951 + 1.74334i 0.500332 + 0.363512i 0.809144 0.587611i \(-0.199931\pi\)
−0.308812 + 0.951123i \(0.599931\pi\)
\(24\) 0.899933 + 1.47991i 0.183698 + 0.302084i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 1.84688 + 3.19889i 0.362203 + 0.627354i
\(27\) −4.82079 + 1.93907i −0.927761 + 0.373175i
\(28\) 2.23707 + 2.48452i 0.422767 + 0.469530i
\(29\) −0.463163 1.42547i −0.0860073 0.264703i 0.898799 0.438362i \(-0.144441\pi\)
−0.984806 + 0.173659i \(0.944441\pi\)
\(30\) −0.740311 1.56587i −0.135162 0.285887i
\(31\) −1.60598 + 5.33112i −0.288442 + 0.957497i
\(32\) 1.00000i 0.176777i
\(33\) 4.20116 3.95951i 0.731329 0.689262i
\(34\) 1.82766 1.64563i 0.313441 0.282224i
\(35\) −1.96511 2.70475i −0.332165 0.457186i
\(36\) −2.95978 0.489581i −0.493297 0.0815968i
\(37\) 10.2925 + 5.94236i 1.69207 + 0.976918i 0.952843 + 0.303464i \(0.0981431\pi\)
0.739229 + 0.673454i \(0.235190\pi\)
\(38\) −5.54571 + 0.582877i −0.899632 + 0.0945552i
\(39\) −6.28662 1.18743i −1.00667 0.190141i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) 4.72947 + 4.25843i 0.738619 + 0.665055i 0.949965 0.312356i \(-0.101118\pi\)
−0.211346 + 0.977411i \(0.567785\pi\)
\(42\) −5.78918 + 0.131764i −0.893290 + 0.0203316i
\(43\) −2.42388 + 11.4035i −0.369639 + 1.73901i 0.263209 + 0.964739i \(0.415219\pi\)
−0.632848 + 0.774276i \(0.718114\pi\)
\(44\) 3.26021 0.692978i 0.491494 0.104470i
\(45\) 2.89239 + 0.796280i 0.431173 + 0.118702i
\(46\) −2.82079 0.916530i −0.415903 0.135135i
\(47\) 7.66790 + 2.49145i 1.11848 + 0.363416i 0.809187 0.587552i \(-0.199908\pi\)
0.309292 + 0.950967i \(0.399908\pi\)
\(48\) −1.31320 1.12938i −0.189545 0.163012i
\(49\) −4.08604 + 0.868514i −0.583719 + 0.124073i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) 0.0969279 + 4.25863i 0.0135726 + 0.596328i
\(52\) −2.74500 2.47161i −0.380663 0.342750i
\(53\) 0.935941 8.90488i 0.128561 1.22318i −0.719959 0.694017i \(-0.755839\pi\)
0.848520 0.529163i \(-0.177494\pi\)
\(54\) 3.98564 3.33387i 0.542376 0.453683i
\(55\) −3.31478 + 0.348398i −0.446965 + 0.0469779i
\(56\) −2.89534 1.67162i −0.386906 0.223380i
\(57\) 5.49777 7.94093i 0.728197 1.05180i
\(58\) 0.880989 + 1.21258i 0.115680 + 0.159219i
\(59\) 9.40535 8.46861i 1.22447 1.10252i 0.232962 0.972486i \(-0.425158\pi\)
0.991510 0.130033i \(-0.0415085\pi\)
\(60\) 1.18796 + 1.26046i 0.153365 + 0.162725i
\(61\) 10.1925i 1.30501i −0.757783 0.652506i \(-0.773718\pi\)
0.757783 0.652506i \(-0.226282\pi\)
\(62\) −0.120033 5.56647i −0.0152442 0.706942i
\(63\) 6.36515 7.75118i 0.801933 0.976557i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 2.47161 + 2.74500i 0.306565 + 0.340475i
\(66\) −2.77199 + 5.06395i −0.341208 + 0.623329i
\(67\) −6.36095 11.0175i −0.777113 1.34600i −0.933599 0.358319i \(-0.883350\pi\)
0.156486 0.987680i \(-0.449983\pi\)
\(68\) −1.22968 + 2.12987i −0.149121 + 0.258284i
\(69\) 4.38933 2.66916i 0.528413 0.321329i
\(70\) 2.70475 + 1.96511i 0.323279 + 0.234876i
\(71\) 12.8607 + 1.35172i 1.52629 + 0.160419i 0.830170 0.557510i \(-0.188243\pi\)
0.696116 + 0.717929i \(0.254910\pi\)
\(72\) 2.96621 0.449004i 0.349571 0.0529156i
\(73\) 1.97090 4.42672i 0.230677 0.518108i −0.760707 0.649095i \(-0.775148\pi\)
0.991384 + 0.130986i \(0.0418144\pi\)
\(74\) −11.6250 2.47097i −1.35138 0.287245i
\(75\) −1.04970 1.37773i −0.121208 0.159087i
\(76\) 5.09416 2.26807i 0.584340 0.260165i
\(77\) −3.44343 + 10.5978i −0.392416 + 1.20773i
\(78\) 6.34587 0.813358i 0.718528 0.0920946i
\(79\) 0.269267 + 0.604785i 0.0302950 + 0.0680436i 0.928059 0.372433i \(-0.121476\pi\)
−0.897764 + 0.440476i \(0.854810\pi\)
\(80\) 0.207912 + 0.978148i 0.0232452 + 0.109360i
\(81\) −0.123244 + 8.99916i −0.0136938 + 0.999906i
\(82\) −5.81392 2.58852i −0.642040 0.285855i
\(83\) −0.713673 + 0.792614i −0.0783358 + 0.0870007i −0.781038 0.624483i \(-0.785310\pi\)
0.702703 + 0.711484i \(0.251976\pi\)
\(84\) 5.46512 1.91427i 0.596293 0.208864i
\(85\) 1.44558 1.98966i 0.156795 0.215809i
\(86\) −1.21862 11.5944i −0.131407 1.25025i
\(87\) −2.58733 0.212543i −0.277391 0.0227870i
\(88\) −2.88650 + 1.66652i −0.307702 + 0.177652i
\(89\) −3.28978 + 2.39017i −0.348716 + 0.253357i −0.748330 0.663326i \(-0.769144\pi\)
0.399614 + 0.916683i \(0.369144\pi\)
\(90\) −2.99689 + 0.136491i −0.315900 + 0.0143874i
\(91\) 11.7448 3.81610i 1.23118 0.400036i
\(92\) 2.96595 0.309222
\(93\) 7.44547 + 6.12903i 0.772059 + 0.635551i
\(94\) −8.06251 −0.831584
\(95\) −5.30333 + 1.72316i −0.544110 + 0.176792i
\(96\) 1.59793 + 0.668302i 0.163088 + 0.0682082i
\(97\) −15.6402 + 11.3633i −1.58802 + 1.15376i −0.681322 + 0.731984i \(0.738595\pi\)
−0.906698 + 0.421780i \(0.861405\pi\)
\(98\) 3.61766 2.08866i 0.365439 0.210987i
\(99\) −3.51936 9.35930i −0.353709 0.940645i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 10.5296 14.4927i 1.04773 1.44208i 0.156974 0.987603i \(-0.449826\pi\)
0.890758 0.454477i \(-0.150174\pi\)
\(102\) −1.40817 4.02025i −0.139430 0.398064i
\(103\) −5.71141 + 6.34317i −0.562762 + 0.625011i −0.955625 0.294586i \(-0.904818\pi\)
0.392863 + 0.919597i \(0.371485\pi\)
\(104\) 3.37442 + 1.50239i 0.330889 + 0.147321i
\(105\) −5.63528 + 1.33252i −0.549947 + 0.130041i
\(106\) 1.86163 + 8.75827i 0.180817 + 0.850678i
\(107\) 1.29495 + 2.90850i 0.125187 + 0.281176i 0.965257 0.261304i \(-0.0841524\pi\)
−0.840069 + 0.542479i \(0.817486\pi\)
\(108\) −2.76034 + 4.40233i −0.265614 + 0.423614i
\(109\) −2.82151 + 8.68372i −0.270252 + 0.831749i 0.720185 + 0.693782i \(0.244057\pi\)
−0.990437 + 0.137967i \(0.955943\pi\)
\(110\) 3.04488 1.35567i 0.290318 0.129258i
\(111\) 16.3739 12.4753i 1.55415 1.18411i
\(112\) 3.27019 + 0.695101i 0.309004 + 0.0656808i
\(113\) −3.64515 + 8.18713i −0.342907 + 0.770181i 0.656961 + 0.753924i \(0.271841\pi\)
−0.999868 + 0.0162564i \(0.994825\pi\)
\(114\) −2.77481 + 9.25117i −0.259885 + 0.866452i
\(115\) −2.94970 0.310026i −0.275061 0.0289101i
\(116\) −1.21258 0.880989i −0.112585 0.0817978i
\(117\) −6.09879 + 9.25200i −0.563833 + 0.855348i
\(118\) −6.32807 + 10.9605i −0.582546 + 1.00900i
\(119\) −4.11113 7.12068i −0.376866 0.652752i
\(120\) −1.51932 0.831670i −0.138694 0.0759207i
\(121\) 0.0730396 + 0.0811187i 0.00663996 + 0.00737442i
\(122\) 3.14965 + 9.69362i 0.285156 + 0.877619i
\(123\) 9.96538 4.71143i 0.898548 0.424815i
\(124\) 1.83429 + 5.25694i 0.164724 + 0.472087i
\(125\) 1.00000i 0.0894427i
\(126\) −3.65837 + 9.33875i −0.325913 + 0.831962i
\(127\) 6.54841 5.89622i 0.581078 0.523205i −0.325335 0.945599i \(-0.605477\pi\)
0.906412 + 0.422394i \(0.138810\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) 16.6021 + 11.4942i 1.46173 + 1.01200i
\(130\) −3.19889 1.84688i −0.280561 0.161982i
\(131\) −4.28845 + 0.450734i −0.374683 + 0.0393808i −0.289999 0.957027i \(-0.593655\pi\)
−0.0846846 + 0.996408i \(0.526988\pi\)
\(132\) 1.07147 5.67269i 0.0932596 0.493744i
\(133\) −1.94870 + 18.5407i −0.168974 + 1.60768i
\(134\) 9.45421 + 8.51261i 0.816719 + 0.735377i
\(135\) 3.20539 4.08968i 0.275876 0.351984i
\(136\) 0.511330 2.40562i 0.0438462 0.206280i
\(137\) −20.0356 + 4.25871i −1.71176 + 0.363846i −0.956535 0.291618i \(-0.905806\pi\)
−0.755226 + 0.655464i \(0.772473\pi\)
\(138\) −3.34969 + 3.89490i −0.285144 + 0.331556i
\(139\) 5.03220 + 1.63506i 0.426826 + 0.138684i 0.514549 0.857461i \(-0.327959\pi\)
−0.0877237 + 0.996145i \(0.527959\pi\)
\(140\) −3.17962 1.03312i −0.268727 0.0873147i
\(141\) 9.10563 10.5877i 0.766832 0.891646i
\(142\) −12.6490 + 2.68862i −1.06148 + 0.225624i
\(143\) 2.55970 12.0424i 0.214052 1.00704i
\(144\) −2.68228 + 1.34364i −0.223524 + 0.111970i
\(145\) 1.11385 + 1.00291i 0.0924999 + 0.0832873i
\(146\) −0.506508 + 4.81910i −0.0419189 + 0.398832i
\(147\) −1.34288 + 7.10962i −0.110759 + 0.586391i
\(148\) 11.8196 1.24229i 0.971566 0.102116i
\(149\) 6.76707 + 3.90697i 0.554380 + 0.320071i 0.750887 0.660431i \(-0.229626\pi\)
−0.196507 + 0.980502i \(0.562960\pi\)
\(150\) 1.42406 + 0.985925i 0.116274 + 0.0805005i
\(151\) 5.11107 + 7.03478i 0.415933 + 0.572482i 0.964653 0.263524i \(-0.0848847\pi\)
−0.548720 + 0.836006i \(0.684885\pi\)
\(152\) −4.14396 + 3.73124i −0.336120 + 0.302644i
\(153\) 6.86976 + 2.69117i 0.555388 + 0.217568i
\(154\) 11.1432i 0.897943i
\(155\) −1.27474 5.41987i −0.102390 0.435335i
\(156\) −5.78394 + 2.73453i −0.463086 + 0.218938i
\(157\) −0.964998 2.96996i −0.0770152 0.237028i 0.905136 0.425123i \(-0.139769\pi\)
−0.982151 + 0.188094i \(0.939769\pi\)
\(158\) −0.442977 0.491976i −0.0352414 0.0391395i
\(159\) −13.6039 7.44671i −1.07886 0.590563i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) −4.95796 + 8.58744i −0.390742 + 0.676785i
\(162\) −2.66368 8.59679i −0.209278 0.675428i
\(163\) −11.3453 8.24288i −0.888636 0.645632i 0.0468858 0.998900i \(-0.485070\pi\)
−0.935522 + 0.353268i \(0.885070\pi\)
\(164\) 6.32926 + 0.665233i 0.494233 + 0.0519459i
\(165\) −1.65856 + 5.52962i −0.129119 + 0.430480i
\(166\) 0.433812 0.974358i 0.0336703 0.0756248i
\(167\) −10.0189 2.12958i −0.775286 0.164792i −0.196755 0.980453i \(-0.563040\pi\)
−0.578531 + 0.815660i \(0.696374\pi\)
\(168\) −4.60610 + 3.50939i −0.355368 + 0.270756i
\(169\) −0.588205 + 0.261886i −0.0452466 + 0.0201451i
\(170\) −0.759984 + 2.33899i −0.0582881 + 0.179392i
\(171\) −9.01486 14.0920i −0.689383 1.07764i
\(172\) 4.74183 + 10.6503i 0.361561 + 0.812080i
\(173\) 1.29442 + 6.08977i 0.0984130 + 0.462997i 0.999565 + 0.0294936i \(0.00938945\pi\)
−0.901152 + 0.433503i \(0.857277\pi\)
\(174\) 2.52638 0.597389i 0.191524 0.0452880i
\(175\) 3.05421 + 1.35982i 0.230877 + 0.102793i
\(176\) 2.23024 2.47693i 0.168111 0.186706i
\(177\) −7.24662 20.6886i −0.544689 1.55505i
\(178\) 2.39017 3.28978i 0.179150 0.246579i
\(179\) 0.584082 + 5.55717i 0.0436564 + 0.415362i 0.994424 + 0.105457i \(0.0336306\pi\)
−0.950767 + 0.309905i \(0.899703\pi\)
\(180\) 2.80804 1.05590i 0.209299 0.0787023i
\(181\) −4.37862 + 2.52800i −0.325460 + 0.187904i −0.653824 0.756647i \(-0.726836\pi\)
0.328364 + 0.944551i \(0.393503\pi\)
\(182\) −9.99069 + 7.25866i −0.740559 + 0.538048i
\(183\) −16.2868 6.81165i −1.20396 0.503531i
\(184\) −2.82079 + 0.916530i −0.207951 + 0.0675675i
\(185\) −11.8847 −0.873782
\(186\) −8.97504 3.52828i −0.658082 0.258706i
\(187\) −8.19714 −0.599435
\(188\) 7.66790 2.49145i 0.559239 0.181708i
\(189\) −8.13198 15.3512i −0.591515 1.11663i
\(190\) 4.51128 3.27764i 0.327283 0.237785i
\(191\) −21.0648 + 12.1618i −1.52420 + 0.879996i −0.524608 + 0.851344i \(0.675788\pi\)
−0.999589 + 0.0286516i \(0.990879\pi\)
\(192\) −1.72624 0.141806i −0.124580 0.0102340i
\(193\) −0.184318 1.75367i −0.0132675 0.126232i 0.985883 0.167434i \(-0.0535480\pi\)
−0.999151 + 0.0412017i \(0.986881\pi\)
\(194\) 11.3633 15.6402i 0.815834 1.12290i
\(195\) 6.03809 2.11496i 0.432397 0.151456i
\(196\) −2.79517 + 3.10435i −0.199655 + 0.221740i
\(197\) 12.7147 + 5.66094i 0.905883 + 0.403325i 0.806165 0.591691i \(-0.201539\pi\)
0.0997180 + 0.995016i \(0.468206\pi\)
\(198\) 6.23930 + 7.81368i 0.443407 + 0.555294i
\(199\) 1.75227 + 8.24376i 0.124215 + 0.584385i 0.995594 + 0.0937737i \(0.0298930\pi\)
−0.871379 + 0.490611i \(0.836774\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) −21.8562 + 2.80133i −1.54162 + 0.197591i
\(202\) −5.53573 + 17.0372i −0.389492 + 1.19873i
\(203\) 4.57774 2.03814i 0.321294 0.143049i
\(204\) 2.58158 + 3.38833i 0.180747 + 0.237231i
\(205\) −6.22506 1.32318i −0.434777 0.0924147i
\(206\) 3.47173 7.79763i 0.241887 0.543287i
\(207\) −1.33172 8.79763i −0.0925613 0.611478i
\(208\) −3.67353 0.386103i −0.254713 0.0267714i
\(209\) 15.0363 + 10.9245i 1.04008 + 0.755664i
\(210\) 4.94769 3.00870i 0.341423 0.207620i
\(211\) −1.76506 + 3.05717i −0.121511 + 0.210464i −0.920364 0.391063i \(-0.872107\pi\)
0.798852 + 0.601527i \(0.205441\pi\)
\(212\) −4.47697 7.75433i −0.307479 0.532570i
\(213\) 10.7548 19.6471i 0.736906 1.34620i
\(214\) −2.13035 2.36599i −0.145627 0.161736i
\(215\) −3.60259 11.0876i −0.245695 0.756171i
\(216\) 1.26485 5.03986i 0.0860619 0.342919i
\(217\) −18.2869 3.47673i −1.24139 0.236016i
\(218\) 9.13060i 0.618402i
\(219\) −5.75642 6.10775i −0.388983 0.412723i
\(220\) −2.47693 + 2.23024i −0.166995 + 0.150363i
\(221\) 5.33961 + 7.34934i 0.359181 + 0.494370i
\(222\) −11.7174 + 16.9246i −0.786424 + 1.13590i
\(223\) 4.55052 + 2.62725i 0.304726 + 0.175933i 0.644564 0.764550i \(-0.277039\pi\)
−0.339838 + 0.940484i \(0.610372\pi\)
\(224\) −3.32494 + 0.349465i −0.222157 + 0.0233496i
\(225\) −2.90303 + 0.756598i −0.193535 + 0.0504398i
\(226\) 0.936777 8.91284i 0.0623135 0.592873i
\(227\) 7.29169 + 6.56547i 0.483966 + 0.435765i 0.874647 0.484761i \(-0.161093\pi\)
−0.390680 + 0.920527i \(0.627760\pi\)
\(228\) −0.219770 9.65585i −0.0145546 0.639475i
\(229\) 0.00473030 0.0222543i 0.000312587 0.00147061i −0.977991 0.208647i \(-0.933094\pi\)
0.978304 + 0.207176i \(0.0664274\pi\)
\(230\) 2.90114 0.616656i 0.191295 0.0406611i
\(231\) 14.6333 + 12.5849i 0.962798 + 0.828025i
\(232\) 1.42547 + 0.463163i 0.0935867 + 0.0304082i
\(233\) −12.7632 4.14700i −0.836142 0.271679i −0.140512 0.990079i \(-0.544875\pi\)
−0.695630 + 0.718400i \(0.744875\pi\)
\(234\) 2.94127 10.6838i 0.192277 0.698422i
\(235\) −7.88632 + 1.67629i −0.514447 + 0.109349i
\(236\) 2.63136 12.3796i 0.171287 0.805842i
\(237\) 1.14635 0.0260914i 0.0744637 0.00169482i
\(238\) 6.11033 + 5.50176i 0.396074 + 0.356626i
\(239\) 2.74962 26.1608i 0.177858 1.69220i −0.433742 0.901037i \(-0.642807\pi\)
0.611600 0.791167i \(-0.290526\pi\)
\(240\) 1.70196 + 0.321470i 0.109861 + 0.0207508i
\(241\) 3.39797 0.357141i 0.218883 0.0230055i 0.00554769 0.999985i \(-0.498234\pi\)
0.213335 + 0.976979i \(0.431567\pi\)
\(242\) −0.0945318 0.0545780i −0.00607673 0.00350840i
\(243\) 14.2976 + 6.21109i 0.917194 + 0.398441i
\(244\) −5.99099 8.24588i −0.383534 0.527889i
\(245\) 3.10435 2.79517i 0.198330 0.178577i
\(246\) −8.02173 + 7.56031i −0.511447 + 0.482028i
\(247\) 20.5973i 1.31058i
\(248\) −3.36900 4.43282i −0.213932 0.281484i
\(249\) 0.789591 + 1.67010i 0.0500383 + 0.105838i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) −17.4824 19.4162i −1.10348 1.22554i −0.972189 0.234196i \(-0.924754\pi\)
−0.131292 0.991344i \(-0.541913\pi\)
\(252\) 0.593484 10.0122i 0.0373860 0.630708i
\(253\) 4.94282 + 8.56121i 0.310752 + 0.538239i
\(254\) −4.40588 + 7.63121i −0.276449 + 0.478824i
\(255\) −2.21326 3.63962i −0.138600 0.227922i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −21.0066 2.20788i −1.31035 0.137724i −0.576537 0.817071i \(-0.695596\pi\)
−0.733817 + 0.679347i \(0.762263\pi\)
\(258\) −19.3414 5.80128i −1.20414 0.361172i
\(259\) −16.1611 + 36.2984i −1.00420 + 2.25548i
\(260\) 3.61304 + 0.767976i 0.224071 + 0.0476279i
\(261\) −2.06875 + 3.99233i −0.128052 + 0.247119i
\(262\) 3.93927 1.75388i 0.243369 0.108355i
\(263\) 3.30860 10.1828i 0.204017 0.627901i −0.795735 0.605645i \(-0.792915\pi\)
0.999752 0.0222557i \(-0.00708481\pi\)
\(264\) 0.733928 + 5.72615i 0.0451701 + 0.352420i
\(265\) 3.64189 + 8.17982i 0.223720 + 0.502483i
\(266\) −3.87606 18.2354i −0.237656 1.11809i
\(267\) 1.62075 + 6.85418i 0.0991880 + 0.419469i
\(268\) −11.6220 5.17446i −0.709928 0.316080i
\(269\) 0.794498 0.882379i 0.0484414 0.0537996i −0.718437 0.695592i \(-0.755142\pi\)
0.766879 + 0.641792i \(0.221809\pi\)
\(270\) −1.78473 + 4.88004i −0.108615 + 0.296990i
\(271\) 9.99794 13.7610i 0.607331 0.835920i −0.389023 0.921228i \(-0.627187\pi\)
0.996355 + 0.0853080i \(0.0271874\pi\)
\(272\) 0.257073 + 2.44589i 0.0155873 + 0.148304i
\(273\) 1.75118 21.3176i 0.105986 1.29020i
\(274\) 17.7390 10.2416i 1.07165 0.618719i
\(275\) 2.69649 1.95911i 0.162604 0.118139i
\(276\) 1.98215 4.73938i 0.119311 0.285277i
\(277\) 7.40924 2.40741i 0.445178 0.144647i −0.0778452 0.996965i \(-0.524804\pi\)
0.523024 + 0.852318i \(0.324804\pi\)
\(278\) −5.29117 −0.317343
\(279\) 14.7696 7.80128i 0.884231 0.467050i
\(280\) 3.34325 0.199797
\(281\) 0.311686 0.101273i 0.0185936 0.00604144i −0.299705 0.954032i \(-0.596888\pi\)
0.318299 + 0.947990i \(0.396888\pi\)
\(282\) −5.38819 + 12.8833i −0.320862 + 0.767190i
\(283\) 11.0458 8.02524i 0.656604 0.477051i −0.208910 0.977935i \(-0.566992\pi\)
0.865514 + 0.500884i \(0.166992\pi\)
\(284\) 11.1991 6.46578i 0.664542 0.383673i
\(285\) −0.790745 + 9.62593i −0.0468397 + 0.570191i
\(286\) 1.28690 + 12.2440i 0.0760958 + 0.724004i
\(287\) −12.5062 + 17.2133i −0.738219 + 1.01607i
\(288\) 2.13580 2.10675i 0.125853 0.124141i
\(289\) −7.32802 + 8.13859i −0.431060 + 0.478740i
\(290\) −1.36925 0.609628i −0.0804050 0.0357986i
\(291\) 7.70531 + 32.5860i 0.451693 + 1.91022i
\(292\) −1.00747 4.73976i −0.0589576 0.277373i
\(293\) 10.6444 + 23.9078i 0.621855 + 1.39671i 0.899881 + 0.436136i \(0.143653\pi\)
−0.278026 + 0.960574i \(0.589680\pi\)
\(294\) −0.919836 7.17662i −0.0536459 0.418549i
\(295\) −3.91096 + 12.0367i −0.227705 + 0.700804i
\(296\) −10.8572 + 4.83395i −0.631064 + 0.280968i
\(297\) −17.3075 0.631147i −1.00428 0.0366229i
\(298\) −7.64319 1.62461i −0.442758 0.0941111i
\(299\) 4.45601 10.0084i 0.257698 0.578799i
\(300\) −1.65903 0.497612i −0.0957842 0.0287296i
\(301\) −38.7629 4.07414i −2.23426 0.234830i
\(302\) −7.03478 5.11107i −0.404806 0.294109i
\(303\) −16.1214 26.5110i −0.926150 1.52302i
\(304\) 2.78813 4.82918i 0.159910 0.276972i
\(305\) 5.09624 + 8.82694i 0.291810 + 0.505429i
\(306\) −7.36515 0.436579i −0.421038 0.0249575i
\(307\) −18.3546 20.3849i −1.04755 1.16343i −0.986242 0.165308i \(-0.947138\pi\)
−0.0613122 0.998119i \(-0.519529\pi\)
\(308\) 3.44343 + 10.5978i 0.196208 + 0.603866i
\(309\) 6.31898 + 13.3656i 0.359474 + 0.760341i
\(310\) 2.88719 + 4.76069i 0.163981 + 0.270389i
\(311\) 21.6877i 1.22980i −0.788607 0.614898i \(-0.789197\pi\)
0.788607 0.614898i \(-0.210803\pi\)
\(312\) 4.65584 4.38803i 0.263585 0.248423i
\(313\) 5.09545 4.58797i 0.288012 0.259327i −0.512441 0.858722i \(-0.671259\pi\)
0.800453 + 0.599395i \(0.204592\pi\)
\(314\) 1.83553 + 2.52640i 0.103585 + 0.142573i
\(315\) −1.63679 + 9.89529i −0.0922227 + 0.557537i
\(316\) 0.573326 + 0.331010i 0.0322521 + 0.0186207i
\(317\) −31.8889 + 3.35166i −1.79106 + 0.188248i −0.940993 0.338426i \(-0.890106\pi\)
−0.850068 + 0.526674i \(0.823439\pi\)
\(318\) 15.2392 + 2.87842i 0.854572 + 0.161414i
\(319\) 0.522188 4.96829i 0.0292369 0.278171i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) 5.51299 0.125478i 0.307705 0.00700347i
\(322\) 2.06164 9.69923i 0.114890 0.540517i
\(323\) −13.4143 + 2.85130i −0.746393 + 0.158651i
\(324\) 5.18986 + 7.35291i 0.288326 + 0.408495i
\(325\) −3.51298 1.14143i −0.194865 0.0633154i
\(326\) 13.3373 + 4.33354i 0.738682 + 0.240012i
\(327\) 11.9903 + 10.3119i 0.663067 + 0.570250i
\(328\) −6.22506 + 1.32318i −0.343721 + 0.0730602i
\(329\) −5.60425 + 26.3659i −0.308973 + 1.45360i
\(330\) −0.131361 5.77150i −0.00723120 0.317711i
\(331\) −12.1437 10.9342i −0.667477 0.600999i 0.264121 0.964490i \(-0.414918\pi\)
−0.931598 + 0.363491i \(0.881585\pi\)
\(332\) −0.111487 + 1.06072i −0.00611862 + 0.0582148i
\(333\) −8.99195 34.5017i −0.492756 1.89068i
\(334\) 10.1866 1.07066i 0.557387 0.0585838i
\(335\) 11.0175 + 6.36095i 0.601949 + 0.347536i
\(336\) 3.29620 4.76099i 0.179822 0.259733i
\(337\) −3.67952 5.06443i −0.200436 0.275877i 0.696953 0.717117i \(-0.254539\pi\)
−0.897389 + 0.441240i \(0.854539\pi\)
\(338\) 0.478489 0.430834i 0.0260264 0.0234343i
\(339\) 10.6464 + 11.2962i 0.578233 + 0.613523i
\(340\) 2.45936i 0.133378i
\(341\) −12.1172 + 14.0555i −0.656186 + 0.761146i
\(342\) 12.9283 + 10.6165i 0.699082 + 0.574076i
\(343\) 2.91617 + 8.97505i 0.157458 + 0.484607i
\(344\) −7.80089 8.66376i −0.420596 0.467119i
\(345\) −2.46669 + 4.50622i −0.132802 + 0.242607i
\(346\) −3.11291 5.39172i −0.167351 0.289861i
\(347\) −5.53100 + 9.57997i −0.296920 + 0.514280i −0.975430 0.220311i \(-0.929293\pi\)
0.678510 + 0.734591i \(0.262626\pi\)
\(348\) −2.21812 + 1.34884i −0.118904 + 0.0723057i
\(349\) 14.2437 + 10.3487i 0.762450 + 0.553952i 0.899661 0.436589i \(-0.143814\pi\)
−0.137211 + 0.990542i \(0.543814\pi\)
\(350\) −3.32494 0.349465i −0.177725 0.0186797i
\(351\) 10.7082 + 15.9286i 0.571562 + 0.850203i
\(352\) −1.35567 + 3.04488i −0.0722574 + 0.162293i
\(353\) 10.1776 + 2.16332i 0.541700 + 0.115142i 0.470632 0.882330i \(-0.344026\pi\)
0.0710681 + 0.997471i \(0.477359\pi\)
\(354\) 13.2851 + 17.4367i 0.706095 + 0.926753i
\(355\) −11.8136 + 5.25974i −0.626999 + 0.279158i
\(356\) −1.25658 + 3.86737i −0.0665988 + 0.204970i
\(357\) −14.1258 + 1.81052i −0.747617 + 0.0958229i
\(358\) −2.27276 5.10469i −0.120119 0.269791i
\(359\) 1.58902 + 7.47576i 0.0838654 + 0.394556i 0.999980 0.00636130i \(-0.00202488\pi\)
−0.916114 + 0.400917i \(0.868692\pi\)
\(360\) −2.34431 + 1.87195i −0.123556 + 0.0986606i
\(361\) 11.0490 + 4.91932i 0.581525 + 0.258911i
\(362\) 3.38312 3.75733i 0.177813 0.197481i
\(363\) 0.178434 0.0625002i 0.00936537 0.00328041i
\(364\) 7.25866 9.99069i 0.380457 0.523654i
\(365\) 0.506508 + 4.81910i 0.0265119 + 0.252243i
\(366\) 17.5946 + 1.44535i 0.919685 + 0.0755498i
\(367\) 31.3719 18.1126i 1.63760 0.945470i 0.655946 0.754808i \(-0.272270\pi\)
0.981656 0.190662i \(-0.0610635\pi\)
\(368\) 2.39951 1.74334i 0.125083 0.0908780i
\(369\) −0.868648 19.0726i −0.0452200 0.992881i
\(370\) 11.3030 3.67258i 0.587617 0.190928i
\(371\) 29.9352 1.55416
\(372\) 9.62606 + 0.582152i 0.499088 + 0.0301832i
\(373\) −15.3449 −0.794528 −0.397264 0.917704i \(-0.630040\pi\)
−0.397264 + 0.917704i \(0.630040\pi\)
\(374\) 7.79595 2.53306i 0.403119 0.130981i
\(375\) 1.59793 + 0.668302i 0.0825166 + 0.0345109i
\(376\) −6.52271 + 4.73902i −0.336383 + 0.244396i
\(377\) −4.79459 + 2.76816i −0.246934 + 0.142567i
\(378\) 12.4777 + 12.0869i 0.641786 + 0.621684i
\(379\) 3.01568 + 28.6923i 0.154905 + 1.47382i 0.745311 + 0.666717i \(0.232301\pi\)
−0.590406 + 0.807107i \(0.701032\pi\)
\(380\) −3.27764 + 4.51128i −0.168139 + 0.231424i
\(381\) −5.04541 14.4043i −0.258484 0.737957i
\(382\) 16.2756 18.0759i 0.832734 0.924845i
\(383\) −4.24482 1.88991i −0.216900 0.0965701i 0.295410 0.955370i \(-0.404544\pi\)
−0.512310 + 0.858800i \(0.671210\pi\)
\(384\) 1.68557 0.398571i 0.0860163 0.0203395i
\(385\) −2.31680 10.8997i −0.118075 0.555499i
\(386\) 0.717212 + 1.61088i 0.0365051 + 0.0819918i
\(387\) 29.4620 18.8473i 1.49764 0.958063i
\(388\) −5.97402 + 18.3861i −0.303285 + 0.933415i
\(389\) 7.35426 3.27433i 0.372876 0.166015i −0.211739 0.977326i \(-0.567913\pi\)
0.584614 + 0.811311i \(0.301246\pi\)
\(390\) −5.08901 + 3.87732i −0.257692 + 0.196336i
\(391\) −7.13494 1.51658i −0.360830 0.0766967i
\(392\) 1.69907 3.81617i 0.0858159 0.192746i
\(393\) −2.14574 + 7.15386i −0.108238 + 0.360864i
\(394\) −13.8417 1.45482i −0.697335 0.0732928i
\(395\) −0.535585 0.389125i −0.0269482 0.0195790i
\(396\) −8.34848 5.50320i −0.419527 0.276546i
\(397\) 8.16499 14.1422i 0.409789 0.709775i −0.585077 0.810978i \(-0.698936\pi\)
0.994866 + 0.101202i \(0.0322690\pi\)
\(398\) −4.21396 7.29880i −0.211227 0.365856i
\(399\) 28.3243 + 15.5047i 1.41799 + 0.776204i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −5.07436 15.6173i −0.253401 0.779889i −0.994140 0.108096i \(-0.965524\pi\)
0.740739 0.671793i \(-0.234476\pi\)
\(402\) 19.9208 9.41815i 0.993559 0.469735i
\(403\) 20.4949 + 1.70829i 1.02092 + 0.0850958i
\(404\) 17.9140i 0.891254i
\(405\) −4.39285 7.85512i −0.218282 0.390324i
\(406\) −3.72387 + 3.35299i −0.184812 + 0.166406i
\(407\) 23.2835 + 32.0470i 1.15412 + 1.58851i
\(408\) −3.50228 2.42475i −0.173389 0.120043i
\(409\) −16.6654 9.62179i −0.824052 0.475767i 0.0277595 0.999615i \(-0.491163\pi\)
−0.851812 + 0.523848i \(0.824496\pi\)
\(410\) 6.32926 0.665233i 0.312580 0.0328535i
\(411\) −6.58475 + 34.8616i −0.324802 + 1.71960i
\(412\) −0.892210 + 8.48881i −0.0439561 + 0.418214i
\(413\) 31.4444 + 28.3127i 1.54728 + 1.39318i
\(414\) 3.98516 + 7.95552i 0.195860 + 0.390993i
\(415\) 0.221752 1.04326i 0.0108854 0.0512116i
\(416\) 3.61304 0.767976i 0.177144 0.0376531i
\(417\) 5.97574 6.94838i 0.292633 0.340264i
\(418\) −17.6762 5.74335i −0.864572 0.280916i
\(419\) −24.4554 7.94605i −1.19473 0.388190i −0.356907 0.934140i \(-0.616169\pi\)
−0.837818 + 0.545950i \(0.816169\pi\)
\(420\) −3.77580 + 4.39037i −0.184240 + 0.214228i
\(421\) 20.6806 4.39581i 1.00791 0.214238i 0.325763 0.945451i \(-0.394379\pi\)
0.682149 + 0.731213i \(0.261045\pi\)
\(422\) 0.733952 3.45297i 0.0357282 0.168088i
\(423\) −10.8331 21.6259i −0.526723 1.05149i
\(424\) 6.65407 + 5.99135i 0.323150 + 0.290966i
\(425\) −0.257073 + 2.44589i −0.0124699 + 0.118643i
\(426\) −4.15711 + 22.0090i −0.201412 + 1.06634i
\(427\) 33.8893 3.56191i 1.64002 0.172373i
\(428\) 2.75721 + 1.59188i 0.133275 + 0.0769463i
\(429\) −17.5323 12.1382i −0.846466 0.586037i
\(430\) 6.85254 + 9.43172i 0.330459 + 0.454838i
\(431\) 9.23624 8.31635i 0.444894 0.400584i −0.416003 0.909363i \(-0.636570\pi\)
0.860897 + 0.508779i \(0.169903\pi\)
\(432\) 0.354462 + 5.18405i 0.0170540 + 0.249418i
\(433\) 24.5415i 1.17939i −0.807626 0.589695i \(-0.799248\pi\)
0.807626 0.589695i \(-0.200752\pi\)
\(434\) 18.4662 2.34439i 0.886406 0.112534i
\(435\) 2.34697 1.10960i 0.112528 0.0532012i
\(436\) 2.82151 + 8.68372i 0.135126 + 0.415875i
\(437\) 11.0667 + 12.2908i 0.529391 + 0.587949i
\(438\) 7.36208 + 4.02998i 0.351774 + 0.192560i
\(439\) 1.08376 + 1.87713i 0.0517251 + 0.0895905i 0.890729 0.454535i \(-0.150195\pi\)
−0.839004 + 0.544126i \(0.816861\pi\)
\(440\) 1.66652 2.88650i 0.0794482 0.137608i
\(441\) 10.4632 + 6.89720i 0.498248 + 0.328438i
\(442\) −7.34934 5.33961i −0.349573 0.253979i
\(443\) 0.622280 + 0.0654043i 0.0295654 + 0.00310745i 0.119300 0.992858i \(-0.461935\pi\)
−0.0897342 + 0.995966i \(0.528602\pi\)
\(444\) 5.91398 19.7171i 0.280665 0.935733i
\(445\) 1.65395 3.71483i 0.0784048 0.176100i
\(446\) −5.13967 1.09247i −0.243370 0.0517300i
\(447\) 10.7655 8.20226i 0.509191 0.387953i
\(448\) 3.05421 1.35982i 0.144298 0.0642456i
\(449\) −4.66988 + 14.3724i −0.220385 + 0.678277i 0.778342 + 0.627841i \(0.216061\pi\)
−0.998727 + 0.0504360i \(0.983939\pi\)
\(450\) 2.52714 1.61665i 0.119131 0.0762097i
\(451\) 8.62765 + 19.3780i 0.406260 + 0.912476i
\(452\) 1.86329 + 8.76609i 0.0876418 + 0.412322i
\(453\) 14.6568 3.46576i 0.688637 0.162836i
\(454\) −8.96365 3.99087i −0.420685 0.187301i
\(455\) −8.26321 + 9.17722i −0.387385 + 0.430235i
\(456\) 3.19284 + 9.11535i 0.149518 + 0.426865i
\(457\) 7.20835 9.92144i 0.337192 0.464105i −0.606426 0.795140i \(-0.707398\pi\)
0.943619 + 0.331034i \(0.107398\pi\)
\(458\) 0.00237818 + 0.0226269i 0.000111125 + 0.00105728i
\(459\) 8.89137 9.17888i 0.415013 0.428433i
\(460\) −2.56859 + 1.48298i −0.119761 + 0.0691441i
\(461\) −3.45805 + 2.51242i −0.161058 + 0.117015i −0.665395 0.746492i \(-0.731737\pi\)
0.504337 + 0.863507i \(0.331737\pi\)
\(462\) −17.8060 7.44701i −0.828410 0.346466i
\(463\) 7.91194 2.57075i 0.367699 0.119473i −0.119339 0.992854i \(-0.538077\pi\)
0.487038 + 0.873381i \(0.338077\pi\)
\(464\) −1.49883 −0.0695814
\(465\) −9.51248 1.58516i −0.441131 0.0735101i
\(466\) 13.4200 0.621668
\(467\) −9.51582 + 3.09188i −0.440340 + 0.143075i −0.520792 0.853683i \(-0.674363\pi\)
0.0804527 + 0.996758i \(0.474363\pi\)
\(468\) 0.504166 + 11.0698i 0.0233051 + 0.511702i
\(469\) 34.4095 25.0000i 1.58888 1.15439i
\(470\) 6.98234 4.03125i 0.322071 0.185948i
\(471\) −5.39069 0.442831i −0.248390 0.0204046i
\(472\) 1.32293 + 12.5868i 0.0608927 + 0.579355i
\(473\) −22.8398 + 31.4363i −1.05018 + 1.44544i
\(474\) −1.08218 + 0.379057i −0.0497064 + 0.0174107i
\(475\) 3.73124 4.14396i 0.171201 0.190138i
\(476\) −7.51140 3.34429i −0.344285 0.153285i
\(477\) −20.9908 + 16.7613i −0.961102 + 0.767449i
\(478\) 5.46911 + 25.7301i 0.250151 + 1.17687i
\(479\) 5.14214 + 11.5494i 0.234951 + 0.527708i 0.992087 0.125549i \(-0.0400691\pi\)
−0.757137 + 0.653256i \(0.773402\pi\)
\(480\) −1.71800 + 0.220198i −0.0784155 + 0.0100506i
\(481\) 13.5656 41.7507i 0.618540 1.90367i
\(482\) −3.12130 + 1.38969i −0.142171 + 0.0632988i
\(483\) 10.4087 + 13.6615i 0.473612 + 0.621618i
\(484\) 0.106771 + 0.0226948i 0.00485321 + 0.00103158i
\(485\) 7.86317 17.6610i 0.357048 0.801943i
\(486\) −15.5172 1.48888i −0.703874 0.0675370i
\(487\) −1.75963 0.184945i −0.0797364 0.00838064i 0.0645762 0.997913i \(-0.479430\pi\)
−0.144313 + 0.989532i \(0.546097\pi\)
\(488\) 8.24588 + 5.99099i 0.373274 + 0.271199i
\(489\) −20.7536 + 12.6203i −0.938512 + 0.570711i
\(490\) −2.08866 + 3.61766i −0.0943560 + 0.163429i
\(491\) −3.59194 6.22142i −0.162102 0.280769i 0.773520 0.633771i \(-0.218494\pi\)
−0.935622 + 0.353003i \(0.885161\pi\)
\(492\) 5.29285 9.66913i 0.238620 0.435918i
\(493\) 2.46652 + 2.73935i 0.111087 + 0.123374i
\(494\) 6.36493 + 19.5892i 0.286372 + 0.881362i
\(495\) 7.72751 + 6.34571i 0.347326 + 0.285218i
\(496\) 4.57392 + 3.17478i 0.205375 + 0.142552i
\(497\) 43.2334i 1.93928i
\(498\) −1.26704 1.34437i −0.0567772 0.0602424i
\(499\) −25.9527 + 23.3679i −1.16180 + 1.04609i −0.163577 + 0.986531i \(0.552303\pi\)
−0.998225 + 0.0595607i \(0.981030\pi\)
\(500\) 0.587785 + 0.809017i 0.0262866 + 0.0361803i
\(501\) −10.0986 + 14.5863i −0.451171 + 0.651667i
\(502\) 22.6267 + 13.0635i 1.00988 + 0.583054i
\(503\) 6.20250 0.651909i 0.276556 0.0290672i 0.0347647 0.999396i \(-0.488932\pi\)
0.241791 + 0.970328i \(0.422265\pi\)
\(504\) 2.52950 + 9.70554i 0.112673 + 0.432319i
\(505\) −1.87252 + 17.8159i −0.0833261 + 0.792795i
\(506\) −7.34646 6.61478i −0.326590 0.294063i
\(507\) 0.0253761 + 1.11493i 0.00112699 + 0.0495157i
\(508\) 1.83207 8.61920i 0.0812848 0.382415i
\(509\) −16.1192 + 3.42624i −0.714470 + 0.151865i −0.550785 0.834647i \(-0.685672\pi\)
−0.163685 + 0.986513i \(0.552338\pi\)
\(510\) 3.22964 + 2.77755i 0.143011 + 0.122992i
\(511\) 15.4073 + 5.00614i 0.681580 + 0.221459i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) −28.5426 + 4.98740i −1.26019 + 0.220199i
\(514\) 20.6607 4.39157i 0.911305 0.193704i
\(515\) 1.77465 8.34905i 0.0782002 0.367903i
\(516\) 20.1874 0.459473i 0.888702 0.0202272i
\(517\) 19.9703 + 17.9813i 0.878292 + 0.790817i
\(518\) 4.15329 39.5159i 0.182485 1.73623i
\(519\) 10.5961 + 2.00141i 0.465116 + 0.0878523i
\(520\) −3.67353 + 0.386103i −0.161095 + 0.0169317i
\(521\) −25.0911 14.4864i −1.09926 0.634659i −0.163235 0.986587i \(-0.552193\pi\)
−0.936027 + 0.351928i \(0.885526\pi\)
\(522\) 0.733797 4.43621i 0.0321174 0.194167i
\(523\) −6.82526 9.39417i −0.298448 0.410778i 0.633287 0.773917i \(-0.281705\pi\)
−0.931735 + 0.363138i \(0.881705\pi\)
\(524\) −3.20449 + 2.88534i −0.139989 + 0.126047i
\(525\) 4.21403 3.97164i 0.183915 0.173336i
\(526\) 10.7069i 0.466842i
\(527\) −1.72458 13.5841i −0.0751238 0.591733i
\(528\) −2.46748 5.21910i −0.107383 0.227132i
\(529\) −4.38901 13.5080i −0.190826 0.587303i
\(530\) −5.99135 6.65407i −0.260248 0.289034i
\(531\) −37.9019 2.24668i −1.64480 0.0974977i
\(532\) 9.32140 + 16.1451i 0.404134 + 0.699981i
\(533\) 11.7538 20.3582i 0.509113 0.881809i
\(534\) −3.65948 6.01788i −0.158361 0.260419i
\(535\) −2.57571 1.87136i −0.111358 0.0809061i
\(536\) 12.6522 + 1.32980i 0.546492 + 0.0574386i
\(537\) 9.27030 + 2.78055i 0.400043 + 0.119989i
\(538\) −0.482942 + 1.08471i −0.0208211 + 0.0467650i
\(539\) −13.6189 2.89479i −0.586608 0.124687i
\(540\) 0.189361 5.19270i 0.00814879 0.223458i
\(541\) −4.45776 + 1.98472i −0.191654 + 0.0853299i −0.500320 0.865841i \(-0.666784\pi\)
0.308666 + 0.951171i \(0.400118\pi\)
\(542\) −5.25623 + 16.1770i −0.225774 + 0.694862i
\(543\) 1.11332 + 8.68618i 0.0477770 + 0.372759i
\(544\) −1.00031 2.24674i −0.0428880 0.0963280i
\(545\) −1.89836 8.93107i −0.0813167 0.382565i
\(546\) 4.92202 + 20.8154i 0.210643 + 0.890815i
\(547\) 5.60296 + 2.49460i 0.239565 + 0.106661i 0.523008 0.852328i \(-0.324810\pi\)
−0.283443 + 0.958989i \(0.591477\pi\)
\(548\) −13.7060 + 15.2220i −0.585490 + 0.650253i
\(549\) −21.7690 + 21.4729i −0.929080 + 0.916443i
\(550\) −1.95911 + 2.69649i −0.0835368 + 0.114979i
\(551\) −0.873633 8.31206i −0.0372180 0.354106i
\(552\) −0.420589 + 5.11993i −0.0179015 + 0.217919i
\(553\) −1.91677 + 1.10665i −0.0815094 + 0.0470595i
\(554\) −6.30268 + 4.57916i −0.267775 + 0.194550i
\(555\) −7.94258 + 18.9909i −0.337144 + 0.806120i
\(556\) 5.03220 1.63506i 0.213413 0.0693420i
\(557\) −5.86114 −0.248344 −0.124172 0.992261i \(-0.539628\pi\)
−0.124172 + 0.992261i \(0.539628\pi\)
\(558\) −11.6360 + 11.9835i −0.492590 + 0.507302i
\(559\) 43.0628 1.82136
\(560\) −3.17962 + 1.03312i −0.134363 + 0.0436573i
\(561\) −5.47816 + 13.0984i −0.231288 + 0.553017i
\(562\) −0.265136 + 0.192633i −0.0111841 + 0.00812571i
\(563\) 8.55975 4.94197i 0.360750 0.208279i −0.308660 0.951173i \(-0.599880\pi\)
0.669410 + 0.742893i \(0.266547\pi\)
\(564\) 1.14331 13.9178i 0.0481420 0.586045i
\(565\) −0.936777 8.91284i −0.0394105 0.374966i
\(566\) −8.02524 + 11.0458i −0.337326 + 0.464289i
\(567\) −29.9647 + 2.73511i −1.25840 + 0.114864i
\(568\) −8.65290 + 9.61002i −0.363068 + 0.403228i
\(569\) 33.2243 + 14.7924i 1.39284 + 0.620131i 0.959656 0.281177i \(-0.0907247\pi\)
0.433180 + 0.901307i \(0.357391\pi\)
\(570\) −2.22253 9.39916i −0.0930916 0.393687i
\(571\) −7.27467 34.2246i −0.304436 1.43226i −0.818501 0.574506i \(-0.805194\pi\)
0.514065 0.857751i \(-0.328139\pi\)
\(572\) −5.00752 11.2471i −0.209375 0.470264i
\(573\) 5.35599 + 41.7878i 0.223750 + 1.74571i
\(574\) 6.57491 20.2355i 0.274432 0.844614i
\(575\) 2.70953 1.20636i 0.112995 0.0503087i
\(576\) −1.38024 + 2.66363i −0.0575101 + 0.110985i
\(577\) −33.3893 7.09712i −1.39002 0.295457i −0.548708 0.836014i \(-0.684880\pi\)
−0.841307 + 0.540557i \(0.818213\pi\)
\(578\) 4.45440 10.0047i 0.185278 0.416142i
\(579\) −2.92542 0.877455i −0.121576 0.0364658i
\(580\) 1.49062 + 0.156670i 0.0618945 + 0.00650538i
\(581\) −2.88479 2.09593i −0.119681 0.0869536i
\(582\) −17.3978 28.6100i −0.721162 1.18592i
\(583\) 14.9219 25.8455i 0.618002 1.07041i
\(584\) 2.42282 + 4.19646i 0.100257 + 0.173651i
\(585\) 0.655706 11.0619i 0.0271101 0.457352i
\(586\) −17.5114 19.4484i −0.723389 0.803405i
\(587\) 7.13378 + 21.9555i 0.294443 + 0.906201i 0.983408 + 0.181407i \(0.0580652\pi\)
−0.688965 + 0.724794i \(0.741935\pi\)
\(588\) 3.09251 + 6.54113i 0.127533 + 0.269752i
\(589\) −14.9404 + 27.2161i −0.615607 + 1.12142i
\(590\) 12.6561i 0.521045i
\(591\) 17.5430 16.5339i 0.721623 0.680115i
\(592\) 8.83207 7.95243i 0.362996 0.326843i
\(593\) −9.28284 12.7767i −0.381201 0.524678i 0.574701 0.818363i \(-0.305118\pi\)
−0.955902 + 0.293685i \(0.905118\pi\)
\(594\) 16.6554 4.74805i 0.683380 0.194815i
\(595\) 7.12068 + 4.11113i 0.291919 + 0.168540i
\(596\) 7.77113 0.816779i 0.318318 0.0334566i
\(597\) 14.3440 + 2.70932i 0.587060 + 0.110885i
\(598\) −1.14516 + 10.8955i −0.0468292 + 0.445550i
\(599\) −27.5853 24.8379i −1.12711 1.01485i −0.999736 0.0229955i \(-0.992680\pi\)
−0.127370 0.991855i \(-0.540654\pi\)
\(600\) 1.73160 0.0394118i 0.0706924 0.00160898i
\(601\) 9.13746 42.9884i 0.372725 1.75353i −0.247289 0.968942i \(-0.579540\pi\)
0.620014 0.784591i \(-0.287127\pi\)
\(602\) 38.1247 8.10365i 1.55385 0.330280i
\(603\) −10.1302 + 36.7967i −0.412533 + 1.49848i
\(604\) 8.26988 + 2.68705i 0.336497 + 0.109334i
\(605\) −0.103813 0.0337310i −0.00422062 0.00137136i
\(606\) 23.5247 + 20.2317i 0.955626 + 0.821856i
\(607\) −5.87357 + 1.24847i −0.238401 + 0.0506736i −0.325562 0.945521i \(-0.605554\pi\)
0.0871617 + 0.996194i \(0.472220\pi\)
\(608\) −1.15937 + 5.45440i −0.0470186 + 0.221205i
\(609\) −0.197491 8.67699i −0.00800274 0.351609i
\(610\) −7.57448 6.82010i −0.306682 0.276138i
\(611\) 3.11296 29.6178i 0.125937 1.19821i
\(612\) 7.13959 1.86075i 0.288601 0.0752162i
\(613\) 3.98199 0.418524i 0.160831 0.0169040i −0.0237707 0.999717i \(-0.507567\pi\)
0.184602 + 0.982813i \(0.440900\pi\)
\(614\) 23.7556 + 13.7153i 0.958697 + 0.553504i
\(615\) −6.27456 + 9.06291i −0.253015 + 0.365452i
\(616\) −6.54980 9.01503i −0.263899 0.363226i
\(617\) 6.28753 5.66131i 0.253126 0.227916i −0.532792 0.846246i \(-0.678857\pi\)
0.785918 + 0.618330i \(0.212191\pi\)
\(618\) −10.1399 10.7587i −0.407886 0.432780i
\(619\) 25.7898i 1.03658i −0.855205 0.518290i \(-0.826569\pi\)
0.855205 0.518290i \(-0.173431\pi\)
\(620\) −4.21701 3.63549i −0.169359 0.146005i
\(621\) −14.9480 3.75147i −0.599842 0.150541i
\(622\) 6.70186 + 20.6262i 0.268720 + 0.827036i
\(623\) −9.09681 10.1030i −0.364456 0.404769i
\(624\) −3.07199 + 5.61200i −0.122978 + 0.224660i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −3.42831 + 5.93800i −0.137023 + 0.237330i
\(627\) 27.5053 16.7260i 1.09846 0.667974i
\(628\) −2.52640 1.83553i −0.100814 0.0732458i
\(629\) −29.0687 3.05524i −1.15904 0.121820i
\(630\) −1.50113 9.91678i −0.0598066 0.395094i
\(631\) −2.12476 + 4.77228i −0.0845853 + 0.189982i −0.950886 0.309541i \(-0.899825\pi\)
0.866301 + 0.499523i \(0.166491\pi\)
\(632\) −0.647553 0.137642i −0.0257583 0.00547509i
\(633\) 3.70554 + 4.86354i 0.147282 + 0.193308i
\(634\) 29.2925 13.0418i 1.16335 0.517958i
\(635\) −2.72298 + 8.38048i −0.108058 + 0.332569i
\(636\) −15.3828 + 1.97163i −0.609969 + 0.0781804i
\(637\) 6.27595 + 14.0960i 0.248662 + 0.558505i
\(638\) 1.03866 + 4.88649i 0.0411207 + 0.193458i
\(639\) −24.2073 30.3156i −0.957625 1.19927i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) −10.6230 + 11.7981i −0.419585 + 0.465996i −0.915467 0.402394i \(-0.868178\pi\)
0.495882 + 0.868390i \(0.334845\pi\)
\(642\) −5.20439 + 1.82295i −0.205401 + 0.0719459i
\(643\) 13.4584 18.5239i 0.530746 0.730510i −0.456497 0.889725i \(-0.650896\pi\)
0.987244 + 0.159215i \(0.0508963\pi\)
\(644\) 1.03650 + 9.86160i 0.0408437 + 0.388601i
\(645\) −20.1249 1.65321i −0.792416 0.0650949i
\(646\) 11.8767 6.85701i 0.467282 0.269785i
\(647\) 31.8360 23.1302i 1.25160 0.909341i 0.253287 0.967391i \(-0.418488\pi\)
0.998314 + 0.0580499i \(0.0184883\pi\)
\(648\) −7.20803 5.38928i −0.283158 0.211711i
\(649\) 40.1188 13.0354i 1.57480 0.511684i
\(650\) 3.69376 0.144881
\(651\) −17.7767 + 26.8976i −0.696724 + 1.05420i
\(652\) −14.0236 −0.549207
\(653\) 29.0304 9.43254i 1.13605 0.369124i 0.320176 0.947358i \(-0.396258\pi\)
0.815871 + 0.578234i \(0.196258\pi\)
\(654\) −14.5900 6.10199i −0.570516 0.238607i
\(655\) 3.48854 2.53457i 0.136308 0.0990339i
\(656\) 5.51150 3.18206i 0.215188 0.124239i
\(657\) −13.6068 + 5.11653i −0.530850 + 0.199615i
\(658\) −2.81756 26.8073i −0.109840 1.04506i
\(659\) 7.35711 10.1262i 0.286592 0.394461i −0.641311 0.767281i \(-0.721609\pi\)
0.927904 + 0.372820i \(0.121609\pi\)
\(660\) 1.90842 + 5.44843i 0.0742853 + 0.212080i
\(661\) −17.0185 + 18.9009i −0.661941 + 0.735160i −0.976841 0.213964i \(-0.931362\pi\)
0.314900 + 0.949125i \(0.398029\pi\)
\(662\) 14.9282 + 6.64646i 0.580200 + 0.258322i
\(663\) 15.3122 3.62073i 0.594676 0.140618i
\(664\) −0.221752 1.04326i −0.00860564 0.0404863i
\(665\) −7.58271 17.0311i −0.294045 0.660436i
\(666\) 19.2135 + 30.0344i 0.744506 + 1.16381i
\(667\) 1.37372 4.22788i 0.0531907 0.163704i
\(668\) −9.35720 + 4.16610i −0.362041 + 0.161191i
\(669\) 7.23927 5.51562i 0.279886 0.213246i
\(670\) −12.4439 2.64503i −0.480749 0.102186i
\(671\) 13.8176 31.0349i 0.533423 1.19809i
\(672\) −1.66364 + 5.54655i −0.0641763 + 0.213963i
\(673\) 23.1679 + 2.43505i 0.893058 + 0.0938641i 0.539929 0.841711i \(-0.318451\pi\)
0.353129 + 0.935575i \(0.385118\pi\)
\(674\) 5.06443 + 3.67952i 0.195074 + 0.141730i
\(675\) −0.731109 + 5.14446i −0.0281404 + 0.198010i
\(676\) −0.321936 + 0.557609i −0.0123821 + 0.0214465i
\(677\) 12.0325 + 20.8409i 0.462447 + 0.800982i 0.999082 0.0428325i \(-0.0136382\pi\)
−0.536635 + 0.843814i \(0.680305\pi\)
\(678\) −13.6160 7.45337i −0.522920 0.286245i
\(679\) −43.2478 48.0315i −1.65970 1.84328i
\(680\) 0.759984 + 2.33899i 0.0291441 + 0.0896962i
\(681\) 15.3642 7.26388i 0.588757 0.278353i
\(682\) 7.18081 17.1120i 0.274967 0.655252i
\(683\) 39.5421i 1.51304i 0.653973 + 0.756518i \(0.273101\pi\)
−0.653973 + 0.756518i \(0.726899\pi\)
\(684\) −15.5762 6.10185i −0.595572 0.233310i
\(685\) 15.2220 13.7060i 0.581604 0.523678i
\(686\) −5.54689 7.63463i −0.211781 0.291492i
\(687\) −0.0323995 0.0224313i −0.00123612 0.000855807i
\(688\) 10.0963 + 5.82912i 0.384919 + 0.222233i
\(689\) −32.8925 + 3.45714i −1.25310 + 0.131707i
\(690\) 0.953464 5.04792i 0.0362978 0.192171i
\(691\) −3.85251 + 36.6542i −0.146556 + 1.39439i 0.635942 + 0.771737i \(0.280612\pi\)
−0.782498 + 0.622653i \(0.786055\pi\)
\(692\) 4.62669 + 4.16589i 0.175880 + 0.158363i
\(693\) 29.8892 14.9724i 1.13540 0.568754i
\(694\) 2.29992 10.8203i 0.0873037 0.410732i
\(695\) −5.17554 + 1.10010i −0.196320 + 0.0417290i
\(696\) 1.69275 1.96827i 0.0641634 0.0746069i
\(697\) −14.8856 4.83663i −0.563834 0.183201i
\(698\) −16.7445 5.44063i −0.633790 0.205931i
\(699\) −15.1562 + 17.6232i −0.573262 + 0.666569i
\(700\) 3.27019 0.695101i 0.123602 0.0262723i
\(701\) 9.09483 42.7878i 0.343507 1.61607i −0.379471 0.925203i \(-0.623894\pi\)
0.722979 0.690870i \(-0.242773\pi\)
\(702\) −15.1063 11.8399i −0.570151 0.446870i
\(703\) 49.2499 + 44.3448i 1.85749 + 1.67249i
\(704\) 0.348398 3.31478i 0.0131307 0.124931i
\(705\) −2.59185 + 13.7220i −0.0976148 + 0.516802i
\(706\) −10.3480 + 1.08762i −0.389452 + 0.0409331i
\(707\) 51.8671 + 29.9455i 1.95066 + 1.12622i
\(708\) −18.0231 12.4780i −0.677350 0.468952i
\(709\) 5.38739 + 7.41511i 0.202328 + 0.278480i 0.898108 0.439774i \(-0.144941\pi\)
−0.695781 + 0.718254i \(0.744941\pi\)
\(710\) 9.61002 8.65290i 0.360658 0.324738i
\(711\) 0.724418 1.84923i 0.0271678 0.0693515i
\(712\) 4.06639i 0.152394i
\(713\) −13.1475 + 9.99229i −0.492378 + 0.374214i
\(714\) 12.8750 6.08702i 0.481833 0.227801i
\(715\) 3.80445 + 11.7089i 0.142278 + 0.437888i
\(716\) 3.73896 + 4.15253i 0.139731 + 0.155187i
\(717\) −39.9656 21.8770i −1.49254 0.817012i
\(718\) −3.82139 6.61884i −0.142613 0.247013i
\(719\) −22.2250 + 38.4948i −0.828851 + 1.43561i 0.0700889 + 0.997541i \(0.477672\pi\)
−0.898940 + 0.438072i \(0.855662\pi\)
\(720\) 1.65111 2.50477i 0.0615331 0.0933471i
\(721\) −23.0866 16.7734i −0.859788 0.624673i
\(722\) −12.0283 1.26423i −0.447649 0.0470498i
\(723\) 1.70018 5.66839i 0.0632305 0.210810i
\(724\) −2.05646 + 4.61888i −0.0764276 + 0.171659i
\(725\) −1.46608 0.311624i −0.0544487 0.0115734i
\(726\) −0.150387 + 0.114580i −0.00558140 + 0.00425248i
\(727\) 18.0736 8.04690i 0.670314 0.298443i −0.0432183 0.999066i \(-0.513761\pi\)
0.713532 + 0.700623i \(0.247094\pi\)
\(728\) −3.81610 + 11.7448i −0.141434 + 0.435290i
\(729\) 19.4800 18.6957i 0.721481 0.692434i
\(730\) −1.97090 4.42672i −0.0729464 0.163840i
\(731\) −5.96120 28.0453i −0.220483 1.03729i
\(732\) −17.1801 + 4.06242i −0.634995 + 0.150151i
\(733\) −20.3502 9.06049i −0.751652 0.334657i −0.00510234 0.999987i \(-0.501624\pi\)
−0.746549 + 0.665330i \(0.768291\pi\)
\(734\) −24.2394 + 26.9206i −0.894692 + 0.993656i
\(735\) −2.39184 6.82855i −0.0882243 0.251875i
\(736\) −1.74334 + 2.39951i −0.0642605 + 0.0884470i
\(737\) −4.43228 42.1703i −0.163265 1.55336i
\(738\) 6.71989 + 17.8707i 0.247363 + 0.657830i
\(739\) −32.8246 + 18.9513i −1.20747 + 0.697134i −0.962206 0.272321i \(-0.912209\pi\)
−0.245266 + 0.969456i \(0.578875\pi\)
\(740\) −9.61494 + 6.98566i −0.353452 + 0.256798i
\(741\) −32.9131 13.7652i −1.20909 0.505679i
\(742\) −28.4701 + 9.25049i −1.04517 + 0.339596i
\(743\) −28.4714 −1.04451 −0.522257 0.852788i \(-0.674910\pi\)
−0.522257 + 0.852788i \(0.674910\pi\)
\(744\) −9.33483 + 2.42096i −0.342231 + 0.0887566i
\(745\) −7.81394 −0.286281
\(746\) 14.5939 4.74183i 0.534319 0.173611i
\(747\) 3.19639 0.145577i 0.116950 0.00532639i
\(748\) −6.63163 + 4.81816i −0.242476 + 0.176169i
\(749\) −9.21804 + 5.32204i −0.336820 + 0.194463i
\(750\) −1.72624 0.141806i −0.0630332 0.00517802i
\(751\) 3.50646 + 33.3617i 0.127952 + 1.21739i 0.850466 + 0.526030i \(0.176320\pi\)
−0.722514 + 0.691357i \(0.757013\pi\)
\(752\) 4.73902 6.52271i 0.172814 0.237859i
\(753\) −42.7092 + 14.9598i −1.55641 + 0.545165i
\(754\) 3.70452 4.11428i 0.134911 0.149833i
\(755\) −7.94371 3.53677i −0.289101 0.128716i
\(756\) −15.6021 7.63950i −0.567443 0.277846i
\(757\) 3.36697 + 15.8403i 0.122375 + 0.575727i 0.996017 + 0.0891591i \(0.0284180\pi\)
−0.873643 + 0.486568i \(0.838249\pi\)
\(758\) −11.7345 26.3561i −0.426216 0.957296i
\(759\) 16.9835 2.17679i 0.616462 0.0790126i
\(760\) 1.72316 5.30333i 0.0625055 0.192372i
\(761\) 41.9952 18.6975i 1.52233 0.677783i 0.536246 0.844061i \(-0.319842\pi\)
0.986079 + 0.166279i \(0.0531751\pi\)
\(762\) 9.24966 + 12.1402i 0.335080 + 0.439794i
\(763\) −29.8588 6.34669i −1.08096 0.229765i
\(764\) −9.89329 + 22.2207i −0.357926 + 0.803916i
\(765\) −7.29497 + 1.10426i −0.263750 + 0.0399247i
\(766\) 4.62108 + 0.485695i 0.166966 + 0.0175489i
\(767\) −37.8205 27.4782i −1.36562 0.992181i
\(768\) −1.47991 + 0.899933i −0.0534015 + 0.0324735i
\(769\) −1.38395 + 2.39708i −0.0499066 + 0.0864408i −0.889900 0.456157i \(-0.849226\pi\)
0.839993 + 0.542597i \(0.182559\pi\)
\(770\) 5.57159 + 9.65028i 0.200786 + 0.347772i
\(771\) −17.5668 + 32.0914i −0.632651 + 1.15575i
\(772\) −1.17990 1.31041i −0.0424655 0.0471627i
\(773\) 0.504226 + 1.55185i 0.0181357 + 0.0558161i 0.959715