Properties

Label 930.2.br.b.11.2
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 11.2
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(-1.26144 - 1.18692i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.56648 + 0.739021i) q^{6} +(0.426617 + 4.05899i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(0.182449 + 2.99445i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(-1.26144 - 1.18692i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.56648 + 0.739021i) q^{6} +(0.426617 + 4.05899i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(0.182449 + 2.99445i) q^{9} +(0.669131 - 0.743145i) q^{10} +(-3.30515 - 1.47155i) q^{11} +(-1.71818 - 0.218783i) q^{12} +(-0.315521 - 1.48441i) q^{13} +(-1.66003 - 3.72850i) q^{14} +(1.68590 + 0.397183i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.831557 - 0.370233i) q^{17} +(-1.09885 - 2.79151i) q^{18} +(-5.99902 - 1.27513i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(4.27954 - 5.62652i) q^{21} +(3.59812 + 0.378178i) q^{22} +(5.09792 + 3.70386i) q^{23} +(1.70169 - 0.322871i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.758786 + 1.31426i) q^{26} +(3.32402 - 3.99386i) q^{27} +(2.73096 + 3.03303i) q^{28} +(-0.234766 - 0.722537i) q^{29} +(-1.72612 + 0.143227i) q^{30} +(3.18326 - 4.56803i) q^{31} +1.00000i q^{32} +(2.42264 + 5.77922i) q^{33} +(-0.676450 + 0.609078i) q^{34} +(-2.39896 - 3.30188i) q^{35} +(1.90770 + 2.31532i) q^{36} +(6.51379 + 3.76074i) q^{37} +(6.09945 - 0.641078i) q^{38} +(-1.36386 + 2.24699i) q^{39} +(0.104528 - 0.994522i) q^{40} +(-4.77654 - 4.30082i) q^{41} +(-2.33139 + 6.67359i) q^{42} +(2.06985 - 9.73786i) q^{43} +(-3.53888 + 0.752212i) q^{44} +(-1.65523 - 2.50204i) q^{45} +(-5.99297 - 1.94723i) q^{46} +(-9.32882 - 3.03112i) q^{47} +(-1.51863 + 0.832920i) q^{48} +(-9.44638 + 2.00789i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(-1.48839 - 0.519965i) q^{51} +(-1.12778 - 1.01545i) q^{52} +(1.09808 - 10.4475i) q^{53} +(-1.92716 + 4.82556i) q^{54} +(3.59812 - 0.378178i) q^{55} +(-3.53455 - 2.04068i) q^{56} +(6.05392 + 8.72885i) q^{57} +(0.446552 + 0.614627i) q^{58} +(-6.39219 + 5.75555i) q^{59} +(1.59738 - 0.669617i) q^{60} -10.8474i q^{61} +(-1.61586 + 5.32813i) q^{62} +(-12.0766 + 2.01804i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(1.01545 + 1.12778i) q^{65} +(-4.08994 - 4.74773i) q^{66} +(-3.17730 - 5.50324i) q^{67} +(0.455126 - 0.788302i) q^{68} +(-2.03453 - 10.7230i) q^{69} +(3.30188 + 2.39896i) q^{70} +(-2.69884 - 0.283660i) q^{71} +(-2.52980 - 1.61249i) q^{72} +(-4.41226 + 9.91010i) q^{73} +(-7.35712 - 1.56380i) q^{74} +(-1.65862 + 0.498978i) q^{75} +(-5.60282 + 2.49453i) q^{76} +(4.56297 - 14.0434i) q^{77} +(0.602754 - 2.55847i) q^{78} +(-5.32318 - 11.9561i) q^{79} +(0.207912 + 0.978148i) q^{80} +(-8.93342 + 1.09267i) q^{81} +(5.87179 + 2.61429i) q^{82} +(-4.85446 + 5.39142i) q^{83} +(0.155034 - 7.06741i) q^{84} +(-0.535033 + 0.736410i) q^{85} +(1.04062 + 9.90088i) q^{86} +(-0.561449 + 1.19008i) q^{87} +(3.13323 - 1.80897i) q^{88} +(-5.08325 + 3.69320i) q^{89} +(2.34739 + 1.86809i) q^{90} +(5.89060 - 1.91397i) q^{91} +6.30138 q^{92} +(-9.43736 + 1.98401i) q^{93} +9.80891 q^{94} +(5.83287 - 1.89522i) q^{95} +(1.18692 - 1.26144i) q^{96} +(10.0834 - 7.32599i) q^{97} +(8.36357 - 4.82871i) q^{98} +(3.80346 - 10.1656i) 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
\(3\) −1.26144 1.18692i −0.728291 0.685268i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 1.56648 + 0.739021i 0.639511 + 0.301704i
\(7\) 0.426617 + 4.05899i 0.161246 + 1.53415i 0.713605 + 0.700548i \(0.247061\pi\)
−0.552359 + 0.833607i \(0.686272\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) 0.182449 + 2.99445i 0.0608163 + 0.998149i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) −3.30515 1.47155i −0.996542 0.443689i −0.157361 0.987541i \(-0.550299\pi\)
−0.839181 + 0.543852i \(0.816965\pi\)
\(12\) −1.71818 0.218783i −0.495995 0.0631572i
\(13\) −0.315521 1.48441i −0.0875098 0.411701i −0.999997 0.00259505i \(-0.999174\pi\)
0.912487 0.409106i \(-0.134159\pi\)
\(14\) −1.66003 3.72850i −0.443663 0.996483i
\(15\) 1.68590 + 0.397183i 0.435297 + 0.102552i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 0.831557 0.370233i 0.201682 0.0897947i −0.303410 0.952860i \(-0.598125\pi\)
0.505092 + 0.863065i \(0.331458\pi\)
\(18\) −1.09885 2.79151i −0.259002 0.657965i
\(19\) −5.99902 1.27513i −1.37627 0.292535i −0.540375 0.841424i \(-0.681718\pi\)
−0.835895 + 0.548889i \(0.815051\pi\)
\(20\) −0.406737 + 0.913545i −0.0909491 + 0.204275i
\(21\) 4.27954 5.62652i 0.933873 1.22781i
\(22\) 3.59812 + 0.378178i 0.767122 + 0.0806278i
\(23\) 5.09792 + 3.70386i 1.06299 + 0.772308i 0.974639 0.223781i \(-0.0718402\pi\)
0.0883513 + 0.996089i \(0.471840\pi\)
\(24\) 1.70169 0.322871i 0.347356 0.0659058i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 0.758786 + 1.31426i 0.148810 + 0.257747i
\(27\) 3.32402 3.99386i 0.639707 0.768619i
\(28\) 2.73096 + 3.03303i 0.516102 + 0.573190i
\(29\) −0.234766 0.722537i −0.0435950 0.134172i 0.926890 0.375333i \(-0.122472\pi\)
−0.970485 + 0.241161i \(0.922472\pi\)
\(30\) −1.72612 + 0.143227i −0.315145 + 0.0261496i
\(31\) 3.18326 4.56803i 0.571730 0.820442i
\(32\) 1.00000i 0.176777i
\(33\) 2.42264 + 5.77922i 0.421727 + 1.00603i
\(34\) −0.676450 + 0.609078i −0.116010 + 0.104456i
\(35\) −2.39896 3.30188i −0.405498 0.558120i
\(36\) 1.90770 + 2.31532i 0.317949 + 0.385886i
\(37\) 6.51379 + 3.76074i 1.07086 + 0.618262i 0.928416 0.371541i \(-0.121171\pi\)
0.142444 + 0.989803i \(0.454504\pi\)
\(38\) 6.09945 0.641078i 0.989461 0.103997i
\(39\) −1.36386 + 2.24699i −0.218393 + 0.359806i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) −4.77654 4.30082i −0.745971 0.671675i 0.205762 0.978602i \(-0.434033\pi\)
−0.951733 + 0.306927i \(0.900699\pi\)
\(42\) −2.33139 + 6.67359i −0.359742 + 1.02976i
\(43\) 2.06985 9.73786i 0.315649 1.48501i −0.478932 0.877852i \(-0.658976\pi\)
0.794581 0.607158i \(-0.207691\pi\)
\(44\) −3.53888 + 0.752212i −0.533506 + 0.113400i
\(45\) −1.65523 2.50204i −0.246747 0.372983i
\(46\) −5.99297 1.94723i −0.883615 0.287104i
\(47\) −9.32882 3.03112i −1.36075 0.442134i −0.464456 0.885596i \(-0.653750\pi\)
−0.896293 + 0.443462i \(0.853750\pi\)
\(48\) −1.51863 + 0.832920i −0.219196 + 0.120222i
\(49\) −9.44638 + 2.00789i −1.34948 + 0.286842i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) −1.48839 0.519965i −0.208417 0.0728096i
\(52\) −1.12778 1.01545i −0.156394 0.140818i
\(53\) 1.09808 10.4475i 0.150833 1.43508i −0.613213 0.789918i \(-0.710123\pi\)
0.764046 0.645162i \(-0.223210\pi\)
\(54\) −1.92716 + 4.82556i −0.262253 + 0.656676i
\(55\) 3.59812 0.378178i 0.485171 0.0509935i
\(56\) −3.53455 2.04068i −0.472325 0.272697i
\(57\) 6.05392 + 8.72885i 0.801861 + 1.15616i
\(58\) 0.446552 + 0.614627i 0.0586352 + 0.0807044i
\(59\) −6.39219 + 5.75555i −0.832192 + 0.749309i −0.970505 0.241080i \(-0.922499\pi\)
0.138313 + 0.990389i \(0.455832\pi\)
\(60\) 1.59738 0.669617i 0.206220 0.0864472i
\(61\) 10.8474i 1.38887i −0.719556 0.694435i \(-0.755654\pi\)
0.719556 0.694435i \(-0.244346\pi\)
\(62\) −1.61586 + 5.32813i −0.205215 + 0.676673i
\(63\) −12.0766 + 2.01804i −1.52151 + 0.254249i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 1.01545 + 1.12778i 0.125952 + 0.139883i
\(66\) −4.08994 4.74773i −0.503437 0.584405i
\(67\) −3.17730 5.50324i −0.388169 0.672328i 0.604035 0.796958i \(-0.293559\pi\)
−0.992203 + 0.124630i \(0.960226\pi\)
\(68\) 0.455126 0.788302i 0.0551922 0.0955957i
\(69\) −2.03453 10.7230i −0.244929 1.29090i
\(70\) 3.30188 + 2.39896i 0.394650 + 0.286730i
\(71\) −2.69884 0.283660i −0.320293 0.0336642i −0.0569824 0.998375i \(-0.518148\pi\)
−0.263311 + 0.964711i \(0.584815\pi\)
\(72\) −2.52980 1.61249i −0.298140 0.190033i
\(73\) −4.41226 + 9.91010i −0.516416 + 1.15989i 0.447646 + 0.894211i \(0.352262\pi\)
−0.964062 + 0.265678i \(0.914404\pi\)
\(74\) −7.35712 1.56380i −0.855247 0.181788i
\(75\) −1.65862 + 0.498978i −0.191521 + 0.0576170i
\(76\) −5.60282 + 2.49453i −0.642687 + 0.286143i
\(77\) 4.56297 14.0434i 0.519999 1.60039i
\(78\) 0.602754 2.55847i 0.0682484 0.289689i
\(79\) −5.32318 11.9561i −0.598904 1.34516i −0.917676 0.397329i \(-0.869937\pi\)
0.318772 0.947831i \(-0.396730\pi\)
\(80\) 0.207912 + 0.978148i 0.0232452 + 0.109360i
\(81\) −8.93342 + 1.09267i −0.992603 + 0.121407i
\(82\) 5.87179 + 2.61429i 0.648431 + 0.288700i
\(83\) −4.85446 + 5.39142i −0.532846 + 0.591785i −0.948121 0.317911i \(-0.897019\pi\)
0.415275 + 0.909696i \(0.363685\pi\)
\(84\) 0.155034 7.06741i 0.0169156 0.771117i
\(85\) −0.535033 + 0.736410i −0.0580325 + 0.0798749i
\(86\) 1.04062 + 9.90088i 0.112213 + 1.06764i
\(87\) −0.561449 + 1.19008i −0.0601937 + 0.127590i
\(88\) 3.13323 1.80897i 0.334003 0.192837i
\(89\) −5.08325 + 3.69320i −0.538823 + 0.391478i −0.823648 0.567102i \(-0.808065\pi\)
0.284825 + 0.958580i \(0.408065\pi\)
\(90\) 2.34739 + 1.86809i 0.247437 + 0.196914i
\(91\) 5.89060 1.91397i 0.617503 0.200639i
\(92\) 6.30138 0.656964
\(93\) −9.43736 + 1.98401i −0.978608 + 0.205732i
\(94\) 9.80891 1.01171
\(95\) 5.83287 1.89522i 0.598440 0.194445i
\(96\) 1.18692 1.26144i 0.121139 0.128745i
\(97\) 10.0834 7.32599i 1.02381 0.743841i 0.0567493 0.998388i \(-0.481926\pi\)
0.967060 + 0.254547i \(0.0819264\pi\)
\(98\) 8.36357 4.82871i 0.844848 0.487773i
\(99\) 3.80346 10.1656i 0.382262 1.02168i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 4.70947 6.48203i 0.468610 0.644986i −0.507656 0.861560i \(-0.669488\pi\)
0.976266 + 0.216573i \(0.0694880\pi\)
\(102\) 1.57623 + 0.0345768i 0.156070 + 0.00342362i
\(103\) −11.2903 + 12.5392i −1.11247 + 1.23552i −0.143153 + 0.989701i \(0.545724\pi\)
−0.969315 + 0.245820i \(0.920943\pi\)
\(104\) 1.38637 + 0.617252i 0.135945 + 0.0605265i
\(105\) −0.892930 + 7.01248i −0.0871410 + 0.684348i
\(106\) 2.18413 + 10.2755i 0.212142 + 0.998047i
\(107\) 6.39157 + 14.3557i 0.617897 + 1.38782i 0.903133 + 0.429362i \(0.141261\pi\)
−0.285236 + 0.958457i \(0.592072\pi\)
\(108\) 0.341654 5.18491i 0.0328757 0.498918i
\(109\) 2.59598 7.98961i 0.248650 0.765265i −0.746365 0.665537i \(-0.768203\pi\)
0.995015 0.0997284i \(-0.0317974\pi\)
\(110\) −3.30515 + 1.47155i −0.315134 + 0.140307i
\(111\) −3.75305 12.4753i −0.356224 1.18410i
\(112\) 3.99216 + 0.848560i 0.377224 + 0.0801814i
\(113\) 7.80569 17.5319i 0.734298 1.64926i −0.0259801 0.999662i \(-0.508271\pi\)
0.760278 0.649598i \(-0.225063\pi\)
\(114\) −8.45498 6.43087i −0.791881 0.602306i
\(115\) −6.26686 0.658674i −0.584388 0.0614216i
\(116\) −0.614627 0.446552i −0.0570667 0.0414613i
\(117\) 4.38742 1.21564i 0.405617 0.112386i
\(118\) 4.30077 7.44915i 0.395918 0.685750i
\(119\) 1.85753 + 3.21734i 0.170280 + 0.294933i
\(120\) −1.31227 + 1.13046i −0.119794 + 0.103196i
\(121\) 1.39815 + 1.55281i 0.127105 + 0.141164i
\(122\) 3.35204 + 10.3165i 0.303479 + 0.934013i
\(123\) 0.920589 + 11.0946i 0.0830067 + 1.00036i
\(124\) −0.109707 5.56668i −0.00985196 0.499903i
\(125\) 1.00000i 0.0894427i
\(126\) 10.8619 5.65115i 0.967657 0.503444i
\(127\) 3.15317 2.83912i 0.279798 0.251931i −0.517268 0.855824i \(-0.673051\pi\)
0.797066 + 0.603892i \(0.206384\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) −14.1690 + 9.82697i −1.24751 + 0.865216i
\(130\) −1.31426 0.758786i −0.115268 0.0665499i
\(131\) 1.79029 0.188168i 0.156419 0.0164403i −0.0259954 0.999662i \(-0.508276\pi\)
0.182414 + 0.983222i \(0.441609\pi\)
\(132\) 5.35689 + 3.25149i 0.466258 + 0.283006i
\(133\) 2.61646 24.8940i 0.226876 2.15858i
\(134\) 4.72238 + 4.25205i 0.407952 + 0.367322i
\(135\) −0.881753 + 5.12079i −0.0758892 + 0.440728i
\(136\) −0.189252 + 0.890362i −0.0162282 + 0.0763479i
\(137\) −4.46170 + 0.948363i −0.381188 + 0.0810241i −0.394521 0.918887i \(-0.629089\pi\)
0.0133323 + 0.999911i \(0.495756\pi\)
\(138\) 5.24855 + 9.56948i 0.446786 + 0.814608i
\(139\) −1.00223 0.325643i −0.0850077 0.0276207i 0.266204 0.963917i \(-0.414230\pi\)
−0.351212 + 0.936296i \(0.614230\pi\)
\(140\) −3.88159 1.26121i −0.328055 0.106591i
\(141\) 8.17004 + 14.8961i 0.688041 + 1.25448i
\(142\) 2.65441 0.564211i 0.222753 0.0473476i
\(143\) −1.14154 + 5.37051i −0.0954601 + 0.449104i
\(144\) 2.90427 + 0.751816i 0.242022 + 0.0626513i
\(145\) 0.564582 + 0.508352i 0.0468860 + 0.0422163i
\(146\) 1.13392 10.7885i 0.0938439 0.892865i
\(147\) 14.2992 + 8.67926i 1.17938 + 0.715853i
\(148\) 7.48027 0.786208i 0.614875 0.0646259i
\(149\) 20.3089 + 11.7253i 1.66377 + 0.960577i 0.970891 + 0.239521i \(0.0769904\pi\)
0.692877 + 0.721056i \(0.256343\pi\)
\(150\) 1.42325 0.987098i 0.116208 0.0805962i
\(151\) 0.758279 + 1.04368i 0.0617078 + 0.0849336i 0.838756 0.544508i \(-0.183284\pi\)
−0.777048 + 0.629442i \(0.783284\pi\)
\(152\) 4.55774 4.10381i 0.369682 0.332863i
\(153\) 1.26036 + 2.42251i 0.101894 + 0.195848i
\(154\) 14.7661i 1.18989i
\(155\) −0.472771 + 5.54766i −0.0379739 + 0.445598i
\(156\) 0.217358 + 2.61951i 0.0174025 + 0.209729i
\(157\) 3.84289 + 11.8272i 0.306696 + 0.943913i 0.979039 + 0.203673i \(0.0652880\pi\)
−0.672343 + 0.740240i \(0.734712\pi\)
\(158\) 8.75727 + 9.72593i 0.696691 + 0.773753i
\(159\) −13.7855 + 11.8756i −1.09326 + 0.941795i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) −12.8591 + 22.2726i −1.01344 + 1.75532i
\(162\) 8.15854 3.79977i 0.640995 0.298538i
\(163\) −18.1316 13.1734i −1.42018 1.03182i −0.991742 0.128249i \(-0.959064\pi\)
−0.428437 0.903572i \(-0.640936\pi\)
\(164\) −6.39226 0.671854i −0.499152 0.0524630i
\(165\) −4.98767 3.79363i −0.388290 0.295334i
\(166\) 2.95082 6.62766i 0.229028 0.514406i
\(167\) −5.16142 1.09709i −0.399402 0.0848956i 0.00383121 0.999993i \(-0.498780\pi\)
−0.403234 + 0.915097i \(0.632114\pi\)
\(168\) 2.03650 + 6.76941i 0.157120 + 0.522271i
\(169\) 9.77217 4.35085i 0.751706 0.334681i
\(170\) 0.281284 0.865702i 0.0215735 0.0663963i
\(171\) 2.72380 18.1964i 0.208294 1.39151i
\(172\) −4.04923 9.09472i −0.308751 0.693466i
\(173\) −1.25640 5.91088i −0.0955221 0.449396i −0.999750 0.0223465i \(-0.992886\pi\)
0.904228 0.427050i \(-0.140447\pi\)
\(174\) 0.166214 1.30533i 0.0126006 0.0989571i
\(175\) 3.72850 + 1.66003i 0.281848 + 0.125487i
\(176\) −2.42088 + 2.68865i −0.182480 + 0.202665i
\(177\) 14.8947 + 0.326738i 1.11956 + 0.0245591i
\(178\) 3.69320 5.08325i 0.276817 0.381005i
\(179\) −1.37631 13.0947i −0.102870 0.978747i −0.917222 0.398375i \(-0.869574\pi\)
0.814352 0.580371i \(-0.197093\pi\)
\(180\) −2.80977 1.05128i −0.209428 0.0783575i
\(181\) −17.2702 + 9.97095i −1.28368 + 0.741135i −0.977520 0.210845i \(-0.932379\pi\)
−0.306163 + 0.951979i \(0.599045\pi\)
\(182\) −5.01084 + 3.64059i −0.371428 + 0.269859i
\(183\) −12.8750 + 13.6833i −0.951748 + 1.01150i
\(184\) −5.99297 + 1.94723i −0.441808 + 0.143552i
\(185\) −7.52148 −0.552990
\(186\) 8.36237 4.80321i 0.613159 0.352188i
\(187\) −3.29324 −0.240826
\(188\) −9.32882 + 3.03112i −0.680374 + 0.221067i
\(189\) 17.6291 + 11.7883i 1.28233 + 0.857473i
\(190\) −4.96174 + 3.60491i −0.359962 + 0.261528i
\(191\) 3.61957 2.08976i 0.261903 0.151210i −0.363299 0.931673i \(-0.618350\pi\)
0.625202 + 0.780463i \(0.285016\pi\)
\(192\) −0.739021 + 1.56648i −0.0533342 + 0.113051i
\(193\) −0.312514 2.97337i −0.0224952 0.214028i −0.999995 0.00309239i \(-0.999016\pi\)
0.977500 0.210936i \(-0.0676510\pi\)
\(194\) −7.32599 + 10.0834i −0.525975 + 0.723943i
\(195\) 0.0576464 2.62788i 0.00412815 0.188186i
\(196\) −6.46208 + 7.17686i −0.461577 + 0.512633i
\(197\) −1.85500 0.825899i −0.132163 0.0588429i 0.339590 0.940574i \(-0.389712\pi\)
−0.471753 + 0.881731i \(0.656379\pi\)
\(198\) −0.475961 + 10.8434i −0.0338250 + 0.770606i
\(199\) −2.85520 13.4327i −0.202400 0.952216i −0.955655 0.294488i \(-0.904851\pi\)
0.753255 0.657728i \(-0.228482\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) −2.52394 + 10.7132i −0.178025 + 0.755650i
\(202\) −2.47592 + 7.62009i −0.174205 + 0.536147i
\(203\) 2.83262 1.26116i 0.198811 0.0885162i
\(204\) −1.50976 + 0.454196i −0.105705 + 0.0318001i
\(205\) 6.28702 + 1.33635i 0.439104 + 0.0933345i
\(206\) 6.86291 15.4144i 0.478162 1.07397i
\(207\) −10.1609 + 15.9412i −0.706231 + 1.10799i
\(208\) −1.50926 0.158629i −0.104648 0.0109990i
\(209\) 17.9513 + 13.0424i 1.24172 + 0.902160i
\(210\) −1.31775 6.94520i −0.0909334 0.479264i
\(211\) 1.52165 2.63558i 0.104755 0.181440i −0.808883 0.587969i \(-0.799928\pi\)
0.913638 + 0.406529i \(0.133261\pi\)
\(212\) −5.25254 9.09767i −0.360746 0.624831i
\(213\) 3.06774 + 3.56112i 0.210198 + 0.244004i
\(214\) −10.5149 11.6780i −0.718784 0.798291i
\(215\) 3.07639 + 9.46816i 0.209808 + 0.645723i
\(216\) 1.27729 + 5.03672i 0.0869087 + 0.342705i
\(217\) 19.8996 + 10.9720i 1.35087 + 0.744830i
\(218\) 8.40077i 0.568972i
\(219\) 17.3283 7.26397i 1.17094 0.490854i
\(220\) 2.68865 2.42088i 0.181269 0.163215i
\(221\) −0.811951 1.11756i −0.0546178 0.0751749i
\(222\) 7.42443 + 10.7049i 0.498295 + 0.718468i
\(223\) 9.66341 + 5.57917i 0.647110 + 0.373609i 0.787348 0.616509i \(-0.211453\pi\)
−0.140238 + 0.990118i \(0.544787\pi\)
\(224\) −4.05899 + 0.426617i −0.271203 + 0.0285046i
\(225\) 2.68449 + 1.33922i 0.178966 + 0.0892812i
\(226\) −2.00601 + 19.0859i −0.133438 + 1.26958i
\(227\) −13.3073 11.9820i −0.883237 0.795270i 0.0965472 0.995328i \(-0.469220\pi\)
−0.979784 + 0.200058i \(0.935887\pi\)
\(228\) 10.0284 + 3.50339i 0.664148 + 0.232017i
\(229\) 1.48170 6.97085i 0.0979134 0.460647i −0.901687 0.432389i \(-0.857671\pi\)
0.999601 0.0282577i \(-0.00899589\pi\)
\(230\) 6.16368 1.31013i 0.406421 0.0863875i
\(231\) −22.4243 + 12.2990i −1.47541 + 0.809213i
\(232\) 0.722537 + 0.234766i 0.0474369 + 0.0154132i
\(233\) −1.68590 0.547783i −0.110447 0.0358865i 0.253272 0.967395i \(-0.418493\pi\)
−0.363719 + 0.931509i \(0.618493\pi\)
\(234\) −3.79703 + 2.51193i −0.248220 + 0.164210i
\(235\) 9.59456 2.03939i 0.625880 0.133035i
\(236\) −1.78836 + 8.41357i −0.116412 + 0.547677i
\(237\) −7.47600 + 21.4000i −0.485619 + 1.39008i
\(238\) −2.76083 2.48586i −0.178958 0.161134i
\(239\) 0.545577 5.19082i 0.0352904 0.335766i −0.962604 0.270911i \(-0.912675\pi\)
0.997895 0.0648547i \(-0.0206584\pi\)
\(240\) 0.898714 1.48065i 0.0580117 0.0955753i
\(241\) 1.83884 0.193270i 0.118450 0.0124496i −0.0451178 0.998982i \(-0.514366\pi\)
0.163568 + 0.986532i \(0.447700\pi\)
\(242\) −1.80956 1.04475i −0.116323 0.0671592i
\(243\) 12.5659 + 9.22492i 0.806100 + 0.591779i
\(244\) −6.37595 8.77575i −0.408179 0.561810i
\(245\) 7.17686 6.46208i 0.458513 0.412847i
\(246\) −4.30395 10.2671i −0.274410 0.654606i
\(247\) 9.30734i 0.592212i
\(248\) 1.82454 + 5.26033i 0.115858 + 0.334031i
\(249\) 12.5228 1.03910i 0.793599 0.0658500i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) 5.66127 + 6.28748i 0.357336 + 0.396862i 0.894831 0.446405i \(-0.147296\pi\)
−0.537495 + 0.843267i \(0.680629\pi\)
\(252\) −8.58400 + 8.73108i −0.540741 + 0.550006i
\(253\) −11.3990 19.7437i −0.716650 1.24127i
\(254\) −2.12150 + 3.67455i −0.133115 + 0.230562i
\(255\) 1.54897 0.293894i 0.0970002 0.0184044i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 28.2834 + 2.97271i 1.76427 + 0.185432i 0.930405 0.366534i \(-0.119456\pi\)
0.833866 + 0.551967i \(0.186122\pi\)
\(258\) 10.4389 13.7245i 0.649895 0.854448i
\(259\) −12.4859 + 28.0438i −0.775837 + 1.74256i
\(260\) 1.48441 + 0.315521i 0.0920591 + 0.0195678i
\(261\) 2.12077 0.834822i 0.131272 0.0516742i
\(262\) −1.64452 + 0.732189i −0.101599 + 0.0452348i
\(263\) −2.42838 + 7.47379i −0.149740 + 0.460854i −0.997590 0.0693831i \(-0.977897\pi\)
0.847850 + 0.530237i \(0.177897\pi\)
\(264\) −6.09947 1.43698i −0.375397 0.0884403i
\(265\) 4.27280 + 9.59687i 0.262476 + 0.589531i
\(266\) 5.20426 + 24.4841i 0.319094 + 1.50122i
\(267\) 10.7957 + 1.37467i 0.660687 + 0.0841282i
\(268\) −5.80521 2.58465i −0.354610 0.157882i
\(269\) 16.8556 18.7200i 1.02770 1.14138i 0.0378492 0.999283i \(-0.487949\pi\)
0.989853 0.142095i \(-0.0453840\pi\)
\(270\) −0.743814 5.14264i −0.0452671 0.312971i
\(271\) −6.39274 + 8.79886i −0.388332 + 0.534493i −0.957768 0.287543i \(-0.907162\pi\)
0.569436 + 0.822036i \(0.307162\pi\)
\(272\) −0.0951473 0.905266i −0.00576915 0.0548898i
\(273\) −9.70235 4.57731i −0.587213 0.277031i
\(274\) 3.95027 2.28069i 0.238644 0.137781i
\(275\) −2.92698 + 2.12657i −0.176503 + 0.128237i
\(276\) −7.94880 7.47923i −0.478461 0.450196i
\(277\) −10.7453 + 3.49136i −0.645622 + 0.209775i −0.613483 0.789708i \(-0.710232\pi\)
−0.0321394 + 0.999483i \(0.510232\pi\)
\(278\) 1.05380 0.0632029
\(279\) 14.2595 + 8.69867i 0.853693 + 0.520776i
\(280\) 4.08135 0.243907
\(281\) −6.38416 + 2.07434i −0.380847 + 0.123745i −0.493183 0.869926i \(-0.664167\pi\)
0.112336 + 0.993670i \(0.464167\pi\)
\(282\) −12.3733 11.6424i −0.736821 0.693293i
\(283\) −12.0044 + 8.72171i −0.713588 + 0.518452i −0.884329 0.466864i \(-0.845384\pi\)
0.170742 + 0.985316i \(0.445384\pi\)
\(284\) −2.35014 + 1.35685i −0.139455 + 0.0805144i
\(285\) −9.60727 4.53245i −0.569086 0.268479i
\(286\) −0.573912 5.46041i −0.0339361 0.322881i
\(287\) 15.4192 21.2228i 0.910169 1.25274i
\(288\) −2.99445 + 0.182449i −0.176449 + 0.0107509i
\(289\) −10.8208 + 12.0177i −0.636518 + 0.706925i
\(290\) −0.694039 0.309006i −0.0407554 0.0181455i
\(291\) −21.4149 2.72685i −1.25536 0.159851i
\(292\) 2.25542 + 10.6109i 0.131988 + 0.620956i
\(293\) −2.17429 4.88353i −0.127023 0.285299i 0.838828 0.544397i \(-0.183241\pi\)
−0.965851 + 0.259098i \(0.916575\pi\)
\(294\) −16.2814 3.83576i −0.949551 0.223706i
\(295\) 2.65802 8.18055i 0.154756 0.476290i
\(296\) −6.87121 + 3.05926i −0.399381 + 0.177816i
\(297\) −16.8636 + 8.30887i −0.978523 + 0.482129i
\(298\) −22.9382 4.87567i −1.32878 0.282440i
\(299\) 3.88954 8.73605i 0.224938 0.505219i
\(300\) −1.04856 + 1.37859i −0.0605387 + 0.0795932i
\(301\) 40.4089 + 4.24715i 2.32913 + 0.244802i
\(302\) −1.04368 0.758279i −0.0600571 0.0436340i
\(303\) −13.6344 + 2.58692i −0.783273 + 0.148615i
\(304\) −3.06652 + 5.31137i −0.175877 + 0.304628i
\(305\) 5.42371 + 9.39414i 0.310561 + 0.537907i
\(306\) −1.94727 1.91447i −0.111318 0.109443i
\(307\) 0.251142 + 0.278921i 0.0143334 + 0.0159189i 0.750269 0.661133i \(-0.229924\pi\)
−0.735935 + 0.677052i \(0.763257\pi\)
\(308\) −4.56297 14.0434i −0.260000 0.800196i
\(309\) 29.1250 2.41669i 1.65686 0.137481i
\(310\) −1.26469 5.42223i −0.0718294 0.307962i
\(311\) 0.311811i 0.0176812i −0.999961 0.00884058i \(-0.997186\pi\)
0.999961 0.00884058i \(-0.00281408\pi\)
\(312\) −1.01619 2.42413i −0.0575305 0.137240i
\(313\) 17.5610 15.8120i 0.992607 0.893747i −0.00173241 0.999998i \(-0.500551\pi\)
0.994339 + 0.106251i \(0.0338848\pi\)
\(314\) −7.30961 10.0608i −0.412505 0.567765i
\(315\) 9.44962 7.78598i 0.532426 0.438690i
\(316\) −11.3341 6.54376i −0.637595 0.368115i
\(317\) −4.06266 + 0.427003i −0.228182 + 0.0239829i −0.217929 0.975965i \(-0.569930\pi\)
−0.0102524 + 0.999947i \(0.503264\pi\)
\(318\) 9.44107 15.5543i 0.529429 0.872243i
\(319\) −0.287309 + 2.73357i −0.0160862 + 0.153050i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) 8.97649 25.6951i 0.501019 1.43416i
\(322\) 5.34710 25.1561i 0.297982 1.40190i
\(323\) −5.46063 + 1.16069i −0.303837 + 0.0645827i
\(324\) −6.58504 + 6.13492i −0.365836 + 0.340829i
\(325\) −1.44330 0.468955i −0.0800597 0.0260130i
\(326\) 21.3150 + 6.92567i 1.18053 + 0.383577i
\(327\) −12.7577 + 6.99717i −0.705501 + 0.386944i
\(328\) 6.28702 1.33635i 0.347142 0.0737874i
\(329\) 8.32345 39.1588i 0.458887 2.15889i
\(330\) 5.91586 + 2.06668i 0.325657 + 0.113767i
\(331\) −9.95997 8.96800i −0.547449 0.492926i 0.348362 0.937360i \(-0.386738\pi\)
−0.895811 + 0.444434i \(0.853405\pi\)
\(332\) −0.758341 + 7.21513i −0.0416194 + 0.395982i
\(333\) −10.0729 + 20.1913i −0.551991 + 1.10648i
\(334\) 5.24782 0.551568i 0.287148 0.0301805i
\(335\) 5.50324 + 3.17730i 0.300674 + 0.173594i
\(336\) −4.02869 5.80878i −0.219783 0.316895i
\(337\) 15.8462 + 21.8104i 0.863197 + 1.18809i 0.980798 + 0.195027i \(0.0624795\pi\)
−0.117601 + 0.993061i \(0.537520\pi\)
\(338\) −7.94940 + 7.15767i −0.432390 + 0.389326i
\(339\) −30.6553 + 12.8506i −1.66497 + 0.697951i
\(340\) 0.910253i 0.0493654i
\(341\) −17.2432 + 10.4137i −0.933774 + 0.563934i
\(342\) 3.03251 + 18.1475i 0.163979 + 0.981305i
\(343\) −3.35156 10.3150i −0.180967 0.556960i
\(344\) 6.66147 + 7.39831i 0.359162 + 0.398890i
\(345\) 7.12346 + 8.26913i 0.383514 + 0.445195i
\(346\) 3.02147 + 5.23334i 0.162435 + 0.281346i
\(347\) −13.8284 + 23.9514i −0.742346 + 1.28578i 0.209079 + 0.977899i \(0.432953\pi\)
−0.951425 + 0.307882i \(0.900380\pi\)
\(348\) 0.245292 + 1.29281i 0.0131490 + 0.0693019i
\(349\) −16.3863 11.9053i −0.877139 0.637278i 0.0553543 0.998467i \(-0.482371\pi\)
−0.932493 + 0.361188i \(0.882371\pi\)
\(350\) −4.05899 0.426617i −0.216962 0.0228037i
\(351\) −6.97732 3.67405i −0.372422 0.196107i
\(352\) 1.47155 3.30515i 0.0784339 0.176165i
\(353\) −16.3938 3.48461i −0.872554 0.185467i −0.250192 0.968196i \(-0.580494\pi\)
−0.622362 + 0.782729i \(0.713827\pi\)
\(354\) −14.2667 + 4.29197i −0.758266 + 0.228116i
\(355\) 2.47909 1.10376i 0.131577 0.0585817i
\(356\) −1.94163 + 5.97572i −0.102906 + 0.316712i
\(357\) 1.47556 6.26321i 0.0780948 0.331484i
\(358\) 5.35545 + 12.0285i 0.283044 + 0.635728i
\(359\) −1.47596 6.94385i −0.0778982 0.366482i 0.921882 0.387472i \(-0.126652\pi\)
−0.999780 + 0.0209898i \(0.993318\pi\)
\(360\) 2.99711 + 0.131556i 0.157962 + 0.00693359i
\(361\) 17.0050 + 7.57110i 0.894998 + 0.398479i
\(362\) 13.3437 14.8197i 0.701331 0.778907i
\(363\) 0.0793719 3.61826i 0.00416594 0.189909i
\(364\) 3.64059 5.01084i 0.190819 0.262640i
\(365\) −1.13392 10.7885i −0.0593521 0.564697i
\(366\) 8.01647 16.9922i 0.419028 0.888198i
\(367\) −15.3589 + 8.86747i −0.801729 + 0.462878i −0.844075 0.536225i \(-0.819850\pi\)
0.0423466 + 0.999103i \(0.486517\pi\)
\(368\) 5.09792 3.70386i 0.265748 0.193077i
\(369\) 12.0071 15.0878i 0.625065 0.785439i
\(370\) 7.15335 2.32426i 0.371885 0.120833i
\(371\) 42.8749 2.22596
\(372\) −6.46881 + 7.15224i −0.335392 + 0.370826i
\(373\) 19.7139 1.02075 0.510373 0.859953i \(-0.329507\pi\)
0.510373 + 0.859953i \(0.329507\pi\)
\(374\) 3.13206 1.01767i 0.161955 0.0526224i
\(375\) 1.18692 1.26144i 0.0612922 0.0651403i
\(376\) 7.93557 5.76553i 0.409246 0.297335i
\(377\) −0.998467 + 0.576465i −0.0514237 + 0.0296895i
\(378\) −20.4091 5.76365i −1.04973 0.296450i
\(379\) −1.53231 14.5790i −0.0787096 0.748872i −0.960697 0.277599i \(-0.910461\pi\)
0.881988 0.471273i \(-0.156205\pi\)
\(380\) 3.60491 4.96174i 0.184928 0.254532i
\(381\) −7.34733 0.161175i −0.376415 0.00825722i
\(382\) −2.79665 + 3.10599i −0.143089 + 0.158916i
\(383\) −18.5617 8.26419i −0.948458 0.422281i −0.126588 0.991955i \(-0.540402\pi\)
−0.821870 + 0.569675i \(0.807069\pi\)
\(384\) 0.218783 1.71818i 0.0111647 0.0876804i
\(385\) 3.07004 + 14.4434i 0.156464 + 0.736105i
\(386\) 1.21604 + 2.73127i 0.0618948 + 0.139018i
\(387\) 29.5372 + 4.42138i 1.50146 + 0.224752i
\(388\) 3.85150 11.8537i 0.195530 0.601780i
\(389\) −19.6680 + 8.75676i −0.997207 + 0.443985i −0.839417 0.543488i \(-0.817103\pi\)
−0.157790 + 0.987473i \(0.550437\pi\)
\(390\) 0.757234 + 2.51708i 0.0383440 + 0.127457i
\(391\) 5.61051 + 1.19255i 0.283736 + 0.0603099i
\(392\) 3.92803 8.82249i 0.198395 0.445603i
\(393\) −2.48168 1.88757i −0.125184 0.0952154i
\(394\) 2.01943 + 0.212250i 0.101737 + 0.0106930i
\(395\) 10.5880 + 7.69266i 0.532742 + 0.387060i
\(396\) −2.89812 10.4598i −0.145636 0.525622i
\(397\) −15.9955 + 27.7050i −0.802790 + 1.39047i 0.114984 + 0.993367i \(0.463318\pi\)
−0.917773 + 0.397105i \(0.870015\pi\)
\(398\) 6.86638 + 11.8929i 0.344180 + 0.596138i
\(399\) −32.8476 + 28.2967i −1.64444 + 1.41661i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 3.66934 + 11.2931i 0.183238 + 0.563949i 0.999914 0.0131485i \(-0.00418543\pi\)
−0.816676 + 0.577097i \(0.804185\pi\)
\(402\) −0.910151 10.9688i −0.0453942 0.547073i
\(403\) −7.78520 3.28395i −0.387809 0.163585i
\(404\) 8.01223i 0.398624i
\(405\) 7.19024 5.41299i 0.357286 0.268974i
\(406\) −2.30426 + 2.07476i −0.114358 + 0.102969i
\(407\) −15.9950 22.0152i −0.792841 1.09125i
\(408\) 1.29552 0.898509i 0.0641376 0.0444828i
\(409\) −17.2967 9.98626i −0.855267 0.493789i 0.00715718 0.999974i \(-0.497722\pi\)
−0.862425 + 0.506185i \(0.831055\pi\)
\(410\) −6.39226 + 0.671854i −0.315691 + 0.0331805i
\(411\) 6.75378 + 4.09937i 0.333139 + 0.202207i
\(412\) −1.76372 + 16.7807i −0.0868923 + 0.826725i
\(413\) −26.0888 23.4904i −1.28374 1.15589i
\(414\) 4.73748 18.3009i 0.232834 0.899440i
\(415\) 1.50837 7.09634i 0.0740431 0.348345i
\(416\) 1.48441 0.315521i 0.0727791 0.0154697i
\(417\) 0.877734 + 1.60034i 0.0429828 + 0.0783689i
\(418\) −21.1030 6.85678i −1.03218 0.335376i
\(419\) 1.39230 + 0.452387i 0.0680185 + 0.0221006i 0.342829 0.939398i \(-0.388615\pi\)
−0.274810 + 0.961499i \(0.588615\pi\)
\(420\) 3.39944 + 6.19807i 0.165876 + 0.302435i
\(421\) 3.89011 0.826869i 0.189593 0.0402991i −0.112137 0.993693i \(-0.535769\pi\)
0.301729 + 0.953394i \(0.402436\pi\)
\(422\) −0.632738 + 2.97680i −0.0308012 + 0.144908i
\(423\) 7.37449 28.4877i 0.358560 1.38512i
\(424\) 7.80680 + 7.02928i 0.379132 + 0.341372i
\(425\) 0.0951473 0.905266i 0.00461532 0.0439119i
\(426\) −4.01804 2.43885i −0.194675 0.118162i
\(427\) 44.0296 4.62770i 2.13074 0.223950i
\(428\) 13.6090 + 7.85714i 0.657814 + 0.379789i
\(429\) 7.81433 5.41965i 0.377279 0.261663i
\(430\) −5.85164 8.05410i −0.282191 0.388403i
\(431\) 21.8945 19.7139i 1.05462 0.949584i 0.0558144 0.998441i \(-0.482225\pi\)
0.998806 + 0.0488569i \(0.0155578\pi\)
\(432\) −2.77121 4.39550i −0.133330 0.211479i
\(433\) 24.6658i 1.18536i 0.805438 + 0.592680i \(0.201930\pi\)
−0.805438 + 0.592680i \(0.798070\pi\)
\(434\) −22.3162 4.28570i −1.07121 0.205720i
\(435\) −0.108813 1.31137i −0.00521716 0.0628753i
\(436\) −2.59598 7.98961i −0.124325 0.382633i
\(437\) −25.8597 28.7201i −1.23704 1.37387i
\(438\) −14.2355 + 12.2632i −0.680197 + 0.585957i
\(439\) 3.75883 + 6.51048i 0.179399 + 0.310728i 0.941675 0.336524i \(-0.109251\pi\)
−0.762276 + 0.647252i \(0.775918\pi\)
\(440\) −1.80897 + 3.13323i −0.0862393 + 0.149371i
\(441\) −7.73600 27.9204i −0.368381 1.32954i
\(442\) 1.11756 + 0.811951i 0.0531567 + 0.0386206i
\(443\) −21.9356 2.30552i −1.04219 0.109539i −0.432064 0.901843i \(-0.642215\pi\)
−0.610126 + 0.792304i \(0.708881\pi\)
\(444\) −10.3691 7.88672i −0.492094 0.374287i
\(445\) 2.55562 5.74002i 0.121148 0.272103i
\(446\) −10.9145 2.31995i −0.516817 0.109853i
\(447\) −11.7014 38.8958i −0.553455 1.83971i
\(448\) 3.72850 1.66003i 0.176155 0.0784293i
\(449\) 3.36491 10.3561i 0.158800 0.488737i −0.839726 0.543010i \(-0.817284\pi\)
0.998526 + 0.0542738i \(0.0172844\pi\)
\(450\) −2.96694 0.444119i −0.139863 0.0209360i
\(451\) 9.45835 + 21.2438i 0.445376 + 1.00033i
\(452\) −3.99004 18.7717i −0.187676 0.882945i
\(453\) 0.282243 2.21655i 0.0132609 0.104143i
\(454\) 16.3586 + 7.28333i 0.767748 + 0.341824i
\(455\) −4.14442 + 4.60285i −0.194294 + 0.215785i
\(456\) −10.6202 0.232970i −0.497336 0.0109098i
\(457\) 13.5484 18.6478i 0.633768 0.872307i −0.364496 0.931205i \(-0.618759\pi\)
0.998264 + 0.0588978i \(0.0187586\pi\)
\(458\) 0.744930 + 7.08754i 0.0348083 + 0.331179i
\(459\) 1.28545 4.55178i 0.0599997 0.212459i
\(460\) −5.45716 + 3.15069i −0.254441 + 0.146902i
\(461\) −19.7483 + 14.3480i −0.919769 + 0.668251i −0.943466 0.331468i \(-0.892456\pi\)
0.0236977 + 0.999719i \(0.492456\pi\)
\(462\) 17.5261 18.6265i 0.815390 0.866583i
\(463\) −9.07616 + 2.94902i −0.421805 + 0.137053i −0.512226 0.858851i \(-0.671179\pi\)
0.0904208 + 0.995904i \(0.471179\pi\)
\(464\) −0.759720 −0.0352691
\(465\) 7.18099 6.43688i 0.333010 0.298503i
\(466\) 1.77266 0.0821171
\(467\) 8.35410 2.71441i 0.386582 0.125608i −0.109277 0.994011i \(-0.534853\pi\)
0.495858 + 0.868403i \(0.334853\pi\)
\(468\) 2.83496 3.56233i 0.131046 0.164669i
\(469\) 20.9821 15.2444i 0.968864 0.703921i
\(470\) −8.49476 + 4.90445i −0.391834 + 0.226226i
\(471\) 9.19035 19.4805i 0.423469 0.897612i
\(472\) −0.899105 8.55442i −0.0413847 0.393749i
\(473\) −21.1709 + 29.1393i −0.973440 + 1.33982i
\(474\) 0.497142 22.6628i 0.0228345 1.04094i
\(475\) −4.10381 + 4.55774i −0.188296 + 0.209123i
\(476\) 3.39388 + 1.51105i 0.155558 + 0.0692589i
\(477\) 31.4849 + 1.38200i 1.44160 + 0.0632776i
\(478\) 1.08518 + 5.10535i 0.0496348 + 0.233513i
\(479\) −7.12197 15.9962i −0.325411 0.730885i 0.674562 0.738218i \(-0.264332\pi\)
−0.999973 + 0.00733307i \(0.997666\pi\)
\(480\) −0.397183 + 1.68590i −0.0181288 + 0.0769503i
\(481\) 3.52724 10.8557i 0.160828 0.494978i
\(482\) −1.68912 + 0.752045i −0.0769373 + 0.0342547i
\(483\) 42.6566 12.8328i 1.94094 0.583912i
\(484\) 2.04384 + 0.434433i 0.0929020 + 0.0197469i
\(485\) −5.06945 + 11.3862i −0.230192 + 0.517019i
\(486\) −14.8015 4.89035i −0.671410 0.221831i
\(487\) 21.8795 + 2.29963i 0.991455 + 0.104206i 0.586345 0.810062i \(-0.300566\pi\)
0.405111 + 0.914268i \(0.367233\pi\)
\(488\) 8.77575 + 6.37595i 0.397259 + 0.288626i
\(489\) 7.23617 + 38.1382i 0.327231 + 1.72467i
\(490\) −4.82871 + 8.36357i −0.218139 + 0.377828i
\(491\) −1.16691 2.02115i −0.0526619 0.0912131i 0.838493 0.544913i \(-0.183437\pi\)
−0.891155 + 0.453700i \(0.850104\pi\)
\(492\) 7.26600 + 8.43460i 0.327577 + 0.380261i
\(493\) −0.462729 0.513913i −0.0208403 0.0231455i
\(494\) −2.87613 8.85180i −0.129403 0.398261i
\(495\) 1.78891 + 10.7054i 0.0804054 + 0.481171i
\(496\) −3.36077 4.43906i −0.150903 0.199320i
\(497\) 11.0756i 0.496808i
\(498\) −11.5888 + 4.85799i −0.519305 + 0.217692i
\(499\) −2.81885 + 2.53810i −0.126189 + 0.113621i −0.729809 0.683651i \(-0.760391\pi\)
0.603620 + 0.797272i \(0.293724\pi\)
\(500\) 0.587785 + 0.809017i 0.0262866 + 0.0361803i
\(501\) 5.20864 + 7.51010i 0.232705 + 0.335526i
\(502\) −7.32713 4.23032i −0.327026 0.188808i
\(503\) 15.8829 1.66936i 0.708184 0.0744331i 0.256413 0.966567i \(-0.417459\pi\)
0.451771 + 0.892134i \(0.350793\pi\)
\(504\) 5.46582 10.9564i 0.243467 0.488035i
\(505\) −0.837506 + 7.96834i −0.0372685 + 0.354587i
\(506\) 16.9422 + 15.2549i 0.753174 + 0.678161i
\(507\) −17.4911 6.11045i −0.776807 0.271374i
\(508\) 0.882170 4.15028i 0.0391400 0.184139i
\(509\) 24.1466 5.13251i 1.07028 0.227494i 0.361102 0.932526i \(-0.382401\pi\)
0.709176 + 0.705032i \(0.249067\pi\)
\(510\) −1.38234 + 0.758168i −0.0612110 + 0.0335722i
\(511\) −42.1073 13.6815i −1.86272 0.605234i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) −25.0336 + 19.7207i −1.10526 + 0.870690i
\(514\) −27.8177 + 5.91284i −1.22699 + 0.260804i
\(515\) 3.50812 16.5044i 0.154586 0.727271i
\(516\) −5.68684 + 16.2785i −0.250349 + 0.716622i
\(517\) 26.3728 + 23.7461i 1.15987 + 1.04435i
\(518\) 3.20879 30.5296i 0.140986 1.34139i
\(519\) −5.43087 + 8.94745i −0.238389 + 0.392749i
\(520\) −1.50926 + 0.158629i −0.0661854 + 0.00695636i
\(521\) 28.8955 + 16.6828i 1.26593 + 0.730887i 0.974216 0.225617i \(-0.0724398\pi\)
0.291718 + 0.956504i \(0.405773\pi\)
\(522\) −1.75899 + 1.44932i −0.0769891 + 0.0634348i
\(523\) 14.0585 + 19.3498i 0.614733 + 0.846108i 0.996956 0.0779624i \(-0.0248414\pi\)
−0.382223 + 0.924070i \(0.624841\pi\)
\(524\) 1.33778 1.20454i 0.0584410 0.0526205i
\(525\) −2.73294 6.51945i −0.119275 0.284532i
\(526\) 7.85841i 0.342643i
\(527\) 0.955828 4.97712i 0.0416365 0.216807i
\(528\) 6.24500 0.518188i 0.271779 0.0225512i
\(529\) 5.16287 + 15.8897i 0.224473 + 0.690856i
\(530\) −7.02928 7.80680i −0.305332 0.339106i
\(531\) −18.4009 18.0910i −0.798533 0.785081i
\(532\) −12.5156 21.6776i −0.542618 0.939842i
\(533\) −4.87708 + 8.44734i −0.211250 + 0.365895i
\(534\) −10.6921 + 2.02868i −0.462694 + 0.0877894i
\(535\) −12.7131 9.23662i −0.549636 0.399334i
\(536\) 6.31978 + 0.664236i 0.272973 + 0.0286906i
\(537\) −13.8063 + 18.1518i −0.595784 + 0.783306i
\(538\) −10.2458 + 23.0124i −0.441728 + 0.992137i
\(539\) 34.1765 + 7.26443i 1.47208 + 0.312901i
\(540\) 2.29657 + 4.66109i 0.0988287 + 0.200581i
\(541\) −22.8778 + 10.1858i −0.983592 + 0.437924i −0.834565 0.550910i \(-0.814281\pi\)
−0.149027 + 0.988833i \(0.547614\pi\)
\(542\) 3.36086 10.3437i 0.144361 0.444299i
\(543\) 33.6200 + 7.92058i 1.44277 + 0.339905i
\(544\) 0.370233 + 0.831557i 0.0158736 + 0.0356527i
\(545\) 1.74662 + 8.21719i 0.0748169 + 0.351986i
\(546\) 10.6419 + 1.35509i 0.455433 + 0.0579923i
\(547\) −35.4599 15.7878i −1.51616 0.675036i −0.531106 0.847305i \(-0.678223\pi\)
−0.985050 + 0.172269i \(0.944890\pi\)
\(548\) −3.05215 + 3.38976i −0.130382 + 0.144803i
\(549\) 32.4820 1.97910i 1.38630 0.0844659i
\(550\) 2.12657 2.92698i 0.0906774 0.124807i
\(551\) 0.487040 + 4.63387i 0.0207486 + 0.197410i
\(552\) 9.87096 + 4.65685i 0.420136 + 0.198209i
\(553\) 46.2586 26.7074i 1.96711 1.13571i
\(554\) 9.14050 6.64096i 0.388342 0.282147i
\(555\) 9.48787 + 8.92738i 0.402738 + 0.378946i
\(556\) −1.00223 + 0.325643i −0.0425038 + 0.0138103i
\(557\) −30.8934 −1.30900 −0.654499 0.756063i \(-0.727120\pi\)
−0.654499 + 0.756063i \(0.727120\pi\)
\(558\) −16.2496 3.86650i −0.687901 0.163682i
\(559\) −15.1081 −0.639003
\(560\) −3.88159 + 1.26121i −0.164027 + 0.0532957i
\(561\) 4.15422 + 3.90881i 0.175391 + 0.165030i
\(562\) 5.43069 3.94563i 0.229080 0.166436i
\(563\) −16.1560 + 9.32770i −0.680896 + 0.393116i −0.800193 0.599743i \(-0.795269\pi\)
0.119296 + 0.992859i \(0.461936\pi\)
\(564\) 15.3654 + 7.24899i 0.647001 + 0.305237i
\(565\) 2.00601 + 19.0859i 0.0843934 + 0.802950i
\(566\) 8.72171 12.0044i 0.366601 0.504583i
\(567\) −8.24628 35.7946i −0.346311 1.50323i
\(568\) 1.81582 2.01668i 0.0761903 0.0846179i
\(569\) −32.4767 14.4596i −1.36149 0.606176i −0.409505 0.912308i \(-0.634298\pi\)
−0.951989 + 0.306132i \(0.900965\pi\)
\(570\) 10.5377 + 1.34181i 0.441374 + 0.0562021i
\(571\) −4.71064 22.1618i −0.197134 0.927443i −0.959808 0.280659i \(-0.909447\pi\)
0.762673 0.646784i \(-0.223886\pi\)
\(572\) 2.23318 + 5.01581i 0.0933740 + 0.209722i
\(573\) −7.04625 1.66004i −0.294361 0.0693490i
\(574\) −8.10637 + 24.9488i −0.338353 + 1.04134i
\(575\) 5.75660 2.56300i 0.240067 0.106885i
\(576\) 2.79151 1.09885i 0.116313 0.0457856i
\(577\) −36.0102 7.65420i −1.49912 0.318649i −0.615984 0.787759i \(-0.711241\pi\)
−0.883140 + 0.469110i \(0.844575\pi\)
\(578\) 6.57752 14.7733i 0.273589 0.614490i
\(579\) −3.13493 + 4.12165i −0.130283 + 0.171290i
\(580\) 0.755558 + 0.0794124i 0.0313729 + 0.00329742i
\(581\) −23.9547 17.4041i −0.993810 0.722045i
\(582\) 21.2094 4.02417i 0.879158 0.166807i
\(583\) −19.0034 + 32.9149i −0.787040 + 1.36319i
\(584\) −5.42398 9.39460i −0.224446 0.388751i
\(585\) −3.19180 + 3.24648i −0.131965 + 0.134226i
\(586\) 3.57697 + 3.97262i 0.147763 + 0.164108i
\(587\) −5.36028 16.4972i −0.221242 0.680914i −0.998651 0.0519183i \(-0.983466\pi\)
0.777409 0.628995i \(-0.216534\pi\)
\(588\) 16.6699 1.38321i 0.687453 0.0570424i
\(589\) −24.9213 + 23.3446i −1.02686 + 0.961898i
\(590\) 8.60154i 0.354120i
\(591\) 1.35969 + 3.24355i 0.0559302 + 0.133422i
\(592\) 5.58955 5.03285i 0.229729 0.206849i
\(593\) −9.32275 12.8317i −0.382839 0.526933i 0.573495 0.819209i \(-0.305587\pi\)
−0.956334 + 0.292276i \(0.905587\pi\)
\(594\) 13.4706 13.1133i 0.552706 0.538046i
\(595\) −3.21734 1.85753i −0.131898 0.0761513i
\(596\) 23.3222 2.45126i 0.955315 0.100408i
\(597\) −12.3418 + 20.3334i −0.505117 + 0.832189i
\(598\) −0.999584 + 9.51041i −0.0408760 + 0.388910i
\(599\) 25.1003 + 22.6004i 1.02557 + 0.923426i 0.997095 0.0761685i \(-0.0242687\pi\)
0.0284735 + 0.999595i \(0.490935\pi\)
\(600\) 0.571231 1.63514i 0.0233204 0.0667545i
\(601\) −2.64159 + 12.4277i −0.107753 + 0.506937i 0.890860 + 0.454278i \(0.150103\pi\)
−0.998613 + 0.0526588i \(0.983230\pi\)
\(602\) −39.7436 + 8.44777i −1.61983 + 0.344305i
\(603\) 15.8995 10.5183i 0.647476 0.428339i
\(604\) 1.22692 + 0.398651i 0.0499227 + 0.0162209i
\(605\) −1.98724 0.645693i −0.0807927 0.0262511i
\(606\) 12.1676 6.67355i 0.494276 0.271095i
\(607\) −30.1846 + 6.41593i −1.22515 + 0.260415i −0.774668 0.632368i \(-0.782083\pi\)
−0.450487 + 0.892783i \(0.648750\pi\)
\(608\) 1.27513 5.99902i 0.0517134 0.243293i
\(609\) −5.07007 1.77121i −0.205449 0.0717730i
\(610\) −8.06120 7.25834i −0.326389 0.293882i
\(611\) −1.55598 + 14.8042i −0.0629483 + 0.598913i
\(612\) 2.44357 + 1.21903i 0.0987753 + 0.0492763i
\(613\) 32.8955 3.45746i 1.32864 0.139646i 0.586531 0.809927i \(-0.300493\pi\)
0.742107 + 0.670281i \(0.233826\pi\)
\(614\) −0.325041 0.187663i −0.0131176 0.00757345i
\(615\) −6.34454 9.14790i −0.255837 0.368879i
\(616\) 8.67929 + 11.9460i 0.349699 + 0.481319i
\(617\) 12.0771 10.8743i 0.486206 0.437782i −0.389212 0.921148i \(-0.627253\pi\)
0.875418 + 0.483366i \(0.160586\pi\)
\(618\) −26.9527 + 11.2985i −1.08420 + 0.454493i
\(619\) 15.9164i 0.639735i −0.947462 0.319868i \(-0.896362\pi\)
0.947462 0.319868i \(-0.103638\pi\)
\(620\) 2.87835 + 4.76604i 0.115597 + 0.191409i
\(621\) 31.7383 8.04870i 1.27361 0.322983i
\(622\) 0.0963548 + 0.296550i 0.00386348 + 0.0118906i
\(623\) −17.1593 19.0573i −0.687471 0.763514i
\(624\) 1.71555 + 1.99147i 0.0686772 + 0.0797225i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −11.8153 + 20.4648i −0.472236 + 0.817936i
\(627\) −7.16419 37.7588i −0.286110 1.50794i
\(628\) 10.0608 + 7.30961i 0.401470 + 0.291685i
\(629\) 6.80894 + 0.715649i 0.271490 + 0.0285348i
\(630\) −6.58113 + 10.3250i −0.262198 + 0.411358i
\(631\) −9.57691 + 21.5101i −0.381251 + 0.856303i 0.616376 + 0.787452i \(0.288600\pi\)
−0.997627 + 0.0688515i \(0.978067\pi\)
\(632\) 12.8015 + 2.72105i 0.509218 + 0.108238i
\(633\) −5.04768 + 1.51854i −0.200627 + 0.0603565i
\(634\) 3.73187 1.66153i 0.148211 0.0659879i
\(635\) −1.31116 + 4.03534i −0.0520318 + 0.160137i
\(636\) −4.17244 + 17.7105i −0.165448 + 0.702266i
\(637\) 5.96106 + 13.3888i 0.236186 + 0.530482i
\(638\) −0.571471 2.68856i −0.0226248 0.106441i
\(639\) 0.357003 8.13329i 0.0141228 0.321748i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) −14.0213 + 15.5722i −0.553806 + 0.615064i −0.953430 0.301615i \(-0.902474\pi\)
0.399623 + 0.916679i \(0.369141\pi\)
\(642\) −0.596922 + 27.2114i −0.0235586 + 1.07395i
\(643\) 3.56059 4.90072i 0.140416 0.193266i −0.733017 0.680210i \(-0.761889\pi\)
0.873433 + 0.486944i \(0.161889\pi\)
\(644\) 2.68828 + 25.5773i 0.105933 + 1.00789i
\(645\) 7.35726 15.5949i 0.289692 0.614049i
\(646\) 4.83469 2.79131i 0.190218 0.109823i
\(647\) 21.4776 15.6044i 0.844371 0.613471i −0.0792172 0.996857i \(-0.525242\pi\)
0.923588 + 0.383386i \(0.125242\pi\)
\(648\) 4.36695 7.86955i 0.171550 0.309145i
\(649\) 29.5967 9.61657i 1.16177 0.377483i
\(650\) 1.51757 0.0595241
\(651\) −12.0792 37.4597i −0.473422 1.46816i
\(652\) −22.4119 −0.877719
\(653\) 11.4812 3.73046i 0.449293 0.145984i −0.0756261 0.997136i \(-0.524096\pi\)
0.524919 + 0.851152i \(0.324096\pi\)
\(654\) 9.97103 10.5970i 0.389898 0.414377i
\(655\) −1.45636 + 1.05811i −0.0569046 + 0.0413436i
\(656\) −5.56636 + 3.21374i −0.217330 + 0.125475i
\(657\) −30.4803 11.4042i −1.18915 0.444920i
\(658\) 4.18465 + 39.8143i 0.163135 + 1.55212i
\(659\) −17.3549 + 23.8870i −0.676053 + 0.930507i −0.999878 0.0156102i \(-0.995031\pi\)
0.323826 + 0.946117i \(0.395031\pi\)
\(660\) −6.26495 0.137431i −0.243863 0.00534950i
\(661\) −31.1022 + 34.5425i −1.20974 + 1.34355i −0.287088 + 0.957904i \(0.592687\pi\)
−0.922648 + 0.385644i \(0.873979\pi\)
\(662\) 12.2438 + 5.45127i 0.475867 + 0.211870i
\(663\) −0.302221 + 2.37345i −0.0117373 + 0.0921770i
\(664\) −1.50837 7.09634i −0.0585362 0.275391i
\(665\) 10.1811 + 22.8671i 0.394805 + 0.886746i
\(666\) 3.34043 22.3158i 0.129439 0.864720i
\(667\) 1.47935 4.55298i 0.0572808 0.176292i
\(668\) −4.82053 + 2.14624i −0.186512 + 0.0830404i
\(669\) −5.56777 18.5075i −0.215262 0.715540i
\(670\) −6.21573 1.32119i −0.240135 0.0510422i
\(671\) −15.9625 + 35.8524i −0.616226 + 1.38407i
\(672\) 5.62652 + 4.27954i 0.217048 + 0.165087i
\(673\) −25.8039 2.71210i −0.994669 0.104544i −0.406814 0.913511i \(-0.633360\pi\)
−0.587854 + 0.808967i \(0.700027\pi\)
\(674\) −21.8104 15.8462i −0.840105 0.610372i
\(675\) −1.79678 4.87561i −0.0691579 0.187662i
\(676\) 5.34849 9.26385i 0.205711 0.356302i
\(677\) −11.0710 19.1756i −0.425494 0.736977i 0.570972 0.820969i \(-0.306566\pi\)
−0.996466 + 0.0839919i \(0.973233\pi\)
\(678\) 25.1839 21.6947i 0.967180 0.833180i
\(679\) 34.0379 + 37.8029i 1.30625 + 1.45074i
\(680\) −0.281284 0.865702i −0.0107867 0.0331982i
\(681\) 2.56473 + 30.9092i 0.0982808 + 1.18444i
\(682\) 13.1813 15.2325i 0.504738 0.583282i
\(683\) 2.20750i 0.0844677i −0.999108 0.0422338i \(-0.986553\pi\)
0.999108 0.0422338i \(-0.0134474\pi\)
\(684\) −8.49198 16.3222i −0.324699 0.624095i
\(685\) 3.38976 3.05215i 0.129516 0.116617i
\(686\) 6.37504 + 8.77449i 0.243400 + 0.335012i
\(687\) −10.1429 + 7.03463i −0.386976 + 0.268388i
\(688\) −8.62164 4.97771i −0.328697 0.189773i
\(689\) −15.8549 + 1.66642i −0.604023 + 0.0634854i
\(690\) −9.33012 5.66314i −0.355191 0.215592i
\(691\) −5.20613 + 49.5330i −0.198050 + 1.88432i 0.219417 + 0.975631i \(0.429585\pi\)
−0.417467 + 0.908692i \(0.637082\pi\)
\(692\) −4.49078 4.04351i −0.170714 0.153711i
\(693\) 42.8847 + 11.1014i 1.62905 + 0.421707i
\(694\) 5.75016 27.0524i 0.218273 1.02689i
\(695\) 1.03077 0.219098i 0.0390995 0.00831086i
\(696\) −0.632786 1.15374i −0.0239857 0.0437322i
\(697\) −5.56428 1.80794i −0.210762 0.0684807i
\(698\) 19.2633 + 6.25901i 0.729125 + 0.236907i
\(699\) 1.47649 + 2.69203i 0.0558459 + 0.101822i
\(700\) 3.99216 0.848560i 0.150890 0.0320726i
\(701\) 1.33306 6.27154i 0.0503489 0.236873i −0.945776 0.324818i \(-0.894697\pi\)
0.996125 + 0.0879456i \(0.0280302\pi\)
\(702\) 7.77117 + 1.33812i 0.293304 + 0.0505042i
\(703\) −34.2809 30.8667i −1.29293 1.16416i
\(704\) −0.378178 + 3.59812i −0.0142531 + 0.135609i
\(705\) −14.5235 8.81540i −0.546987 0.332007i
\(706\) 16.6682 1.75190i 0.627317 0.0659337i
\(707\) 28.3197 + 16.3504i 1.06507 + 0.614919i
\(708\) 12.2421 8.49056i 0.460087 0.319095i
\(709\) 3.87884 + 5.33877i 0.145673 + 0.200502i 0.875618 0.483004i \(-0.160454\pi\)
−0.729945 + 0.683506i \(0.760454\pi\)
\(710\) −2.01668 + 1.81582i −0.0756845 + 0.0681467i
\(711\) 34.8306 18.1213i 1.30625 0.679603i
\(712\) 6.28324i 0.235474i
\(713\) 33.1473 11.4971i 1.24138 0.430570i
\(714\) 0.532098 + 6.41264i 0.0199133 + 0.239987i
\(715\) −1.69665 5.22176i −0.0634513 0.195283i
\(716\) −8.81035 9.78489i −0.329258 0.365678i
\(717\) −6.84929 + 5.90034i −0.255791 + 0.220352i
\(718\) 3.54949 + 6.14789i 0.132466 + 0.229437i
\(719\) 7.51176 13.0108i 0.280141 0.485219i −0.691278 0.722589i \(-0.742952\pi\)
0.971419 + 0.237370i \(0.0762853\pi\)
\(720\) −2.89108 + 0.801042i −0.107744 + 0.0298531i
\(721\) −55.7130 40.4779i −2.07486 1.50748i
\(722\) −18.5123 1.94572i −0.688955 0.0724121i
\(723\) −2.54898 1.93876i −0.0947977 0.0721032i
\(724\) −8.11110 + 18.2178i −0.301447 + 0.677060i
\(725\) −0.743119 0.157955i −0.0275987 0.00586629i
\(726\) 1.04262 + 3.46570i 0.0386951 + 0.128624i
\(727\) −4.39587 + 1.95717i −0.163034 + 0.0725874i −0.486631 0.873608i \(-0.661774\pi\)
0.323597 + 0.946195i \(0.395108\pi\)
\(728\) −1.91397 + 5.89060i −0.0709365 + 0.218320i
\(729\) −4.90182 26.5513i −0.181549 0.983382i
\(730\) 4.41226 + 9.91010i 0.163305 + 0.366789i
\(731\) −1.88408 8.86392i −0.0696854 0.327844i
\(732\) −2.37323 + 18.6378i −0.0877171 + 0.688873i
\(733\) −1.31670 0.586235i −0.0486336 0.0216531i 0.382276 0.924048i \(-0.375140\pi\)
−0.430909 + 0.902395i \(0.641807\pi\)
\(734\) 11.8670 13.1796i 0.438019 0.486469i
\(735\) −16.7231 0.366847i −0.616842 0.0135313i
\(736\) −3.70386 + 5.09792i −0.136526 + 0.187912i
\(737\) 2.40317 + 22.8646i 0.0885218 + 0.842229i
\(738\) −6.75705 + 18.0597i −0.248730 + 0.664788i
\(739\) 40.1286 23.1682i 1.47615 0.852258i 0.476516 0.879166i \(-0.341899\pi\)
0.999638 + 0.0269081i \(0.00856615\pi\)
\(740\) −6.08500 + 4.42101i −0.223689 + 0.162520i
\(741\) 11.0470 11.7406i 0.405824 0.431303i
\(742\) −40.7765 + 13.2491i −1.49695 + 0.486389i
\(743\) −1.55250 −0.0569556 −0.0284778 0.999594i \(-0.509066\pi\)
−0.0284778 + 0.999594i \(0.509066\pi\)
\(744\) 3.94204 8.80115i 0.144522 0.322666i
\(745\) −23.4507 −0.859166
\(746\) −18.7490 + 6.09192i −0.686450 + 0.223041i
\(747\) −17.0300 13.5528i −0.623096 0.495869i
\(748\) −2.66429 + 1.93572i −0.0974161 + 0.0707769i
\(749\) −55.5430 + 32.0677i −2.02950 + 1.17173i
\(750\) −0.739021 + 1.56648i −0.0269852 + 0.0571996i
\(751\) 2.22312 + 21.1516i 0.0811229 + 0.771833i 0.957154 + 0.289579i \(0.0935152\pi\)
−0.876031 + 0.482254i \(0.839818\pi\)
\(752\) −5.76553 + 7.93557i −0.210247 + 0.289381i
\(753\) 0.321385 14.6507i 0.0117119 0.533902i
\(754\) 0.771461 0.856794i 0.0280949 0.0312026i
\(755\) −1.17853 0.524715i −0.0428911 0.0190963i
\(756\) 21.1913 0.825198i 0.770719 0.0300122i
\(757\) 1.50186 + 7.06571i 0.0545862 + 0.256808i 0.996976 0.0777086i \(-0.0247604\pi\)
−0.942390 + 0.334516i \(0.891427\pi\)
\(758\) 5.96247 + 13.3919i 0.216567 + 0.486416i
\(759\) −9.05499 + 38.4351i −0.328675 + 1.39511i
\(760\) −1.89522 + 5.83287i −0.0687467 + 0.211581i
\(761\) −24.2538 + 10.7985i −0.879199 + 0.391445i −0.796149 0.605101i \(-0.793133\pi\)
−0.0830503 + 0.996545i \(0.526466\pi\)
\(762\) 7.03753 2.11716i 0.254943 0.0766967i
\(763\) 33.5372 + 7.12856i 1.21413 + 0.258071i
\(764\) 1.69997 3.81819i 0.0615026 0.138137i
\(765\) −2.30276 1.46777i −0.0832564 0.0530674i
\(766\) 20.2070 + 2.12384i 0.730108 + 0.0767375i
\(767\) 10.5605 + 7.67263i 0.381316 + 0.277042i
\(768\) 0.322871 + 1.70169i 0.0116506 + 0.0614045i
\(769\) −11.1980 + 19.3954i −0.403808 + 0.699417i −0.994182 0.107713i \(-0.965647\pi\)
0.590374 + 0.807130i \(0.298980\pi\)
\(770\) −7.38304 12.7878i −0.266066 0.460841i
\(771\) −32.1494 37.3200i −1.15783 1.34405i
\(772\) −2.00053 2.22182i −0.0720007 0.0799649i
\(773\) 5.07522 + 15.6199i 0.182543 + 0.561809i