Properties

Label 76.2.k.a.51.2
Level $76$
Weight $2$
Character 76.51
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 51.2
Character \(\chi\) \(=\) 76.51
Dual form 76.2.k.a.3.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.32415 + 0.496616i) q^{2} +(-1.09089 - 0.397053i) q^{3} +(1.50675 - 1.31519i) q^{4} +(0.615920 + 3.49306i) q^{5} +(1.64169 - 0.0159973i) q^{6} +(3.53555 + 2.04125i) q^{7} +(-1.34202 + 2.48978i) q^{8} +(-1.26573 - 1.06208i) q^{9} +O(q^{10})\) \(q+(-1.32415 + 0.496616i) q^{2} +(-1.09089 - 0.397053i) q^{3} +(1.50675 - 1.31519i) q^{4} +(0.615920 + 3.49306i) q^{5} +(1.64169 - 0.0159973i) q^{6} +(3.53555 + 2.04125i) q^{7} +(-1.34202 + 2.48978i) q^{8} +(-1.26573 - 1.06208i) q^{9} +(-2.55028 - 4.31946i) q^{10} +(-0.260098 + 0.150167i) q^{11} +(-2.16590 + 0.836472i) q^{12} +(0.546397 + 1.50121i) q^{13} +(-5.69532 - 0.947113i) q^{14} +(0.715025 - 4.05511i) q^{15} +(0.540567 - 3.96331i) q^{16} +(3.58623 - 3.00920i) q^{17} +(2.20347 + 0.777766i) q^{18} +(-3.34958 - 2.78932i) q^{19} +(5.52206 + 4.45310i) q^{20} +(-3.04643 - 3.63059i) q^{21} +(0.269833 - 0.328013i) q^{22} +(-3.07108 - 0.541514i) q^{23} +(2.45257 - 2.18323i) q^{24} +(-7.12363 + 2.59279i) q^{25} +(-1.46904 - 1.71648i) q^{26} +(2.70044 + 4.67730i) q^{27} +(8.01181 - 1.57426i) q^{28} +(0.344669 - 0.410760i) q^{29} +(1.06703 + 5.72467i) q^{30} +(2.08054 - 3.60361i) q^{31} +(1.25245 + 5.51646i) q^{32} +(0.343363 - 0.0605442i) q^{33} +(-3.25429 + 5.76561i) q^{34} +(-4.95259 + 13.6071i) q^{35} +(-3.30397 + 0.0643968i) q^{36} -2.42729i q^{37} +(5.82057 + 2.03002i) q^{38} -1.85461i q^{39} +(-9.52351 - 3.15423i) q^{40} +(2.70395 - 7.42905i) q^{41} +(5.83694 + 3.29454i) q^{42} +(2.23149 - 0.393472i) q^{43} +(-0.194403 + 0.568341i) q^{44} +(2.93031 - 5.07544i) q^{45} +(4.33550 - 0.808100i) q^{46} +(2.11323 - 2.51844i) q^{47} +(-2.16334 + 4.10891i) q^{48} +(4.83342 + 8.37173i) q^{49} +(8.14514 - 6.97095i) q^{50} +(-5.10701 + 1.85880i) q^{51} +(2.79766 + 1.54333i) q^{52} +(-5.12508 - 0.903690i) q^{53} +(-5.89861 - 4.85236i) q^{54} +(-0.684743 - 0.816045i) q^{55} +(-9.82703 + 6.06335i) q^{56} +(2.54653 + 4.37281i) q^{57} +(-0.252403 + 0.715076i) q^{58} +(4.17166 - 3.50044i) q^{59} +(-4.25587 - 7.05041i) q^{60} +(-0.594383 + 3.37091i) q^{61} +(-0.965344 + 5.80494i) q^{62} +(-2.30710 - 6.33871i) q^{63} +(-4.39799 - 6.68264i) q^{64} +(-4.90729 + 2.83323i) q^{65} +(-0.424597 + 0.250689i) q^{66} +(5.29646 + 4.44426i) q^{67} +(1.44587 - 9.25066i) q^{68} +(3.13521 + 1.81012i) q^{69} +(-0.199541 - 20.4774i) q^{70} +(-0.743257 - 4.21522i) q^{71} +(4.34297 - 1.72607i) q^{72} +(-8.50411 - 3.09524i) q^{73} +(1.20543 + 3.21410i) q^{74} +8.80060 q^{75} +(-8.71544 + 0.202533i) q^{76} -1.22612 q^{77} +(0.921031 + 2.45579i) q^{78} +(0.187126 + 0.0681083i) q^{79} +(14.1770 - 0.552850i) q^{80} +(-0.228002 - 1.29306i) q^{81} +(0.108943 + 11.1800i) q^{82} +(-12.9034 - 7.44977i) q^{83} +(-9.36510 - 1.46376i) q^{84} +(12.7201 + 10.6735i) q^{85} +(-2.75942 + 1.62921i) q^{86} +(-0.539091 + 0.311244i) q^{87} +(-0.0248287 - 0.849113i) q^{88} +(2.26220 + 6.21534i) q^{89} +(-1.35962 + 8.17588i) q^{90} +(-1.13254 + 6.42296i) q^{91} +(-5.33953 + 3.22312i) q^{92} +(-3.70047 + 3.10507i) q^{93} +(-1.54753 + 4.38426i) q^{94} +(7.68017 - 13.4183i) q^{95} +(0.824040 - 6.51517i) q^{96} +(3.90012 + 4.64798i) q^{97} +(-10.5577 - 8.68508i) q^{98} +(0.488704 + 0.0861717i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.32415 + 0.496616i −0.936315 + 0.351160i
\(3\) −1.09089 0.397053i −0.629828 0.229239i 0.00732842 0.999973i \(-0.497667\pi\)
−0.637156 + 0.770734i \(0.719889\pi\)
\(4\) 1.50675 1.31519i 0.753373 0.657593i
\(5\) 0.615920 + 3.49306i 0.275448 + 1.56214i 0.737535 + 0.675309i \(0.235990\pi\)
−0.462087 + 0.886834i \(0.652899\pi\)
\(6\) 1.64169 0.0159973i 0.670217 0.00653089i
\(7\) 3.53555 + 2.04125i 1.33631 + 0.771521i 0.986259 0.165208i \(-0.0528297\pi\)
0.350055 + 0.936729i \(0.386163\pi\)
\(8\) −1.34202 + 2.48978i −0.474474 + 0.880270i
\(9\) −1.26573 1.06208i −0.421911 0.354026i
\(10\) −2.55028 4.31946i −0.806469 1.36593i
\(11\) −0.260098 + 0.150167i −0.0784224 + 0.0452772i −0.538698 0.842499i \(-0.681084\pi\)
0.460276 + 0.887776i \(0.347750\pi\)
\(12\) −2.16590 + 0.836472i −0.625241 + 0.241469i
\(13\) 0.546397 + 1.50121i 0.151543 + 0.416362i 0.992114 0.125340i \(-0.0400023\pi\)
−0.840570 + 0.541702i \(0.817780\pi\)
\(14\) −5.69532 0.947113i −1.52214 0.253127i
\(15\) 0.715025 4.05511i 0.184619 1.04702i
\(16\) 0.540567 3.96331i 0.135142 0.990826i
\(17\) 3.58623 3.00920i 0.869788 0.729839i −0.0942656 0.995547i \(-0.530050\pi\)
0.964053 + 0.265708i \(0.0856058\pi\)
\(18\) 2.20347 + 0.777766i 0.519362 + 0.183321i
\(19\) −3.34958 2.78932i −0.768447 0.639914i
\(20\) 5.52206 + 4.45310i 1.23477 + 0.995743i
\(21\) −3.04643 3.63059i −0.664785 0.792260i
\(22\) 0.269833 0.328013i 0.0575285 0.0699326i
\(23\) −3.07108 0.541514i −0.640365 0.112914i −0.155968 0.987762i \(-0.549850\pi\)
−0.484397 + 0.874849i \(0.660961\pi\)
\(24\) 2.45257 2.18323i 0.500629 0.445651i
\(25\) −7.12363 + 2.59279i −1.42473 + 0.518558i
\(26\) −1.46904 1.71648i −0.288102 0.336630i
\(27\) 2.70044 + 4.67730i 0.519700 + 0.900146i
\(28\) 8.01181 1.57426i 1.51409 0.297508i
\(29\) 0.344669 0.410760i 0.0640034 0.0762762i −0.733093 0.680129i \(-0.761924\pi\)
0.797096 + 0.603852i \(0.206368\pi\)
\(30\) 1.06703 + 5.72467i 0.194812 + 1.04518i
\(31\) 2.08054 3.60361i 0.373676 0.647227i −0.616452 0.787393i \(-0.711430\pi\)
0.990128 + 0.140166i \(0.0447637\pi\)
\(32\) 1.25245 + 5.51646i 0.221404 + 0.975182i
\(33\) 0.343363 0.0605442i 0.0597719 0.0105394i
\(34\) −3.25429 + 5.76561i −0.558105 + 0.988794i
\(35\) −4.95259 + 13.6071i −0.837141 + 2.30003i
\(36\) −3.30397 + 0.0643968i −0.550662 + 0.0107328i
\(37\) 2.42729i 0.399044i −0.979893 0.199522i \(-0.936061\pi\)
0.979893 0.199522i \(-0.0639389\pi\)
\(38\) 5.82057 + 2.03002i 0.944221 + 0.329313i
\(39\) 1.85461i 0.296976i
\(40\) −9.52351 3.15423i −1.50580 0.498728i
\(41\) 2.70395 7.42905i 0.422286 1.16022i −0.528109 0.849177i \(-0.677099\pi\)
0.950395 0.311045i \(-0.100679\pi\)
\(42\) 5.83694 + 3.29454i 0.900659 + 0.508359i
\(43\) 2.23149 0.393472i 0.340299 0.0600039i −0.000887115 1.00000i \(-0.500282\pi\)
0.341186 + 0.939996i \(0.389171\pi\)
\(44\) −0.194403 + 0.568341i −0.0293073 + 0.0856807i
\(45\) 2.93031 5.07544i 0.436824 0.756602i
\(46\) 4.33550 0.808100i 0.639234 0.119148i
\(47\) 2.11323 2.51844i 0.308246 0.367353i −0.589575 0.807713i \(-0.700705\pi\)
0.897821 + 0.440360i \(0.145149\pi\)
\(48\) −2.16334 + 4.10891i −0.312252 + 0.593070i
\(49\) 4.83342 + 8.37173i 0.690489 + 1.19596i
\(50\) 8.14514 6.97095i 1.15190 0.985841i
\(51\) −5.10701 + 1.85880i −0.715124 + 0.260284i
\(52\) 2.79766 + 1.54333i 0.387966 + 0.214022i
\(53\) −5.12508 0.903690i −0.703984 0.124131i −0.189814 0.981820i \(-0.560789\pi\)
−0.514169 + 0.857689i \(0.671900\pi\)
\(54\) −5.89861 4.85236i −0.802699 0.660323i
\(55\) −0.684743 0.816045i −0.0923307 0.110035i
\(56\) −9.82703 + 6.06335i −1.31319 + 0.810249i
\(57\) 2.54653 + 4.37281i 0.337296 + 0.579193i
\(58\) −0.252403 + 0.715076i −0.0331422 + 0.0938941i
\(59\) 4.17166 3.50044i 0.543104 0.455719i −0.329494 0.944158i \(-0.606878\pi\)
0.872598 + 0.488439i \(0.162434\pi\)
\(60\) −4.25587 7.05041i −0.549430 0.910204i
\(61\) −0.594383 + 3.37091i −0.0761029 + 0.431601i 0.922821 + 0.385228i \(0.125877\pi\)
−0.998924 + 0.0463728i \(0.985234\pi\)
\(62\) −0.965344 + 5.80494i −0.122599 + 0.737229i
\(63\) −2.30710 6.33871i −0.290668 0.798603i
\(64\) −4.39799 6.68264i −0.549749 0.835330i
\(65\) −4.90729 + 2.83323i −0.608675 + 0.351418i
\(66\) −0.424597 + 0.250689i −0.0522643 + 0.0308577i
\(67\) 5.29646 + 4.44426i 0.647066 + 0.542953i 0.906179 0.422894i \(-0.138986\pi\)
−0.259113 + 0.965847i \(0.583430\pi\)
\(68\) 1.44587 9.25066i 0.175338 1.12181i
\(69\) 3.13521 + 1.81012i 0.377435 + 0.217912i
\(70\) −0.199541 20.4774i −0.0238497 2.44752i
\(71\) −0.743257 4.21522i −0.0882084 0.500254i −0.996618 0.0821733i \(-0.973814\pi\)
0.908410 0.418081i \(-0.137297\pi\)
\(72\) 4.34297 1.72607i 0.511824 0.203420i
\(73\) −8.50411 3.09524i −0.995331 0.362271i −0.207549 0.978225i \(-0.566549\pi\)
−0.787782 + 0.615954i \(0.788771\pi\)
\(74\) 1.20543 + 3.21410i 0.140128 + 0.373631i
\(75\) 8.80060 1.01621
\(76\) −8.71544 + 0.202533i −0.999730 + 0.0232321i
\(77\) −1.22612 −0.139729
\(78\) 0.921031 + 2.45579i 0.104286 + 0.278063i
\(79\) 0.187126 + 0.0681083i 0.0210533 + 0.00766278i 0.352525 0.935802i \(-0.385323\pi\)
−0.331472 + 0.943465i \(0.607545\pi\)
\(80\) 14.1770 0.552850i 1.58504 0.0618105i
\(81\) −0.228002 1.29306i −0.0253336 0.143674i
\(82\) 0.108943 + 11.1800i 0.0120307 + 1.23462i
\(83\) −12.9034 7.44977i −1.41633 0.817719i −0.420356 0.907359i \(-0.638095\pi\)
−0.995974 + 0.0896401i \(0.971428\pi\)
\(84\) −9.36510 1.46376i −1.02182 0.159709i
\(85\) 12.7201 + 10.6735i 1.37969 + 1.15770i
\(86\) −2.75942 + 1.62921i −0.297556 + 0.175682i
\(87\) −0.539091 + 0.311244i −0.0577966 + 0.0333689i
\(88\) −0.0248287 0.849113i −0.00264674 0.0905157i
\(89\) 2.26220 + 6.21534i 0.239793 + 0.658825i 0.999959 + 0.00909600i \(0.00289539\pi\)
−0.760166 + 0.649729i \(0.774882\pi\)
\(90\) −1.35962 + 8.17588i −0.143317 + 0.861813i
\(91\) −1.13254 + 6.42296i −0.118723 + 0.673309i
\(92\) −5.33953 + 3.22312i −0.556685 + 0.336034i
\(93\) −3.70047 + 3.10507i −0.383721 + 0.321980i
\(94\) −1.54753 + 4.38426i −0.159615 + 0.452202i
\(95\) 7.68017 13.4183i 0.787969 1.37669i
\(96\) 0.824040 6.51517i 0.0841033 0.664951i
\(97\) 3.90012 + 4.64798i 0.395997 + 0.471931i 0.926795 0.375567i \(-0.122552\pi\)
−0.530798 + 0.847498i \(0.678108\pi\)
\(98\) −10.5577 8.68508i −1.06649 0.877325i
\(99\) 0.488704 + 0.0861717i 0.0491166 + 0.00866058i
\(100\) −7.32350 + 13.2756i −0.732350 + 1.32756i
\(101\) 5.15199 1.87517i 0.512642 0.186586i −0.0727293 0.997352i \(-0.523171\pi\)
0.585371 + 0.810765i \(0.300949\pi\)
\(102\) 5.83933 4.99755i 0.578180 0.494831i
\(103\) 9.18625 + 15.9110i 0.905148 + 1.56776i 0.820719 + 0.571333i \(0.193573\pi\)
0.0844294 + 0.996429i \(0.473093\pi\)
\(104\) −4.47096 0.654244i −0.438414 0.0641539i
\(105\) 10.8055 12.8775i 1.05451 1.25672i
\(106\) 7.23516 1.34857i 0.702741 0.130985i
\(107\) −8.31778 + 14.4068i −0.804110 + 1.39276i 0.112780 + 0.993620i \(0.464025\pi\)
−0.916890 + 0.399140i \(0.869309\pi\)
\(108\) 10.2204 + 3.49592i 0.983458 + 0.336395i
\(109\) −8.39330 + 1.47996i −0.803932 + 0.141755i −0.560491 0.828161i \(-0.689387\pi\)
−0.243441 + 0.969916i \(0.578276\pi\)
\(110\) 1.31196 + 0.740512i 0.125091 + 0.0706050i
\(111\) −0.963763 + 2.64792i −0.0914763 + 0.251329i
\(112\) 10.0013 12.9090i 0.945035 1.21979i
\(113\) 10.6541i 1.00226i −0.865373 0.501129i \(-0.832918\pi\)
0.865373 0.501129i \(-0.167082\pi\)
\(114\) −5.54360 4.52561i −0.519206 0.423862i
\(115\) 11.0610i 1.03144i
\(116\) −0.0208982 1.07221i −0.00194035 0.0995527i
\(117\) 0.902812 2.48046i 0.0834650 0.229318i
\(118\) −3.78553 + 6.70682i −0.348487 + 0.617413i
\(119\) 18.8218 3.31880i 1.72539 0.304234i
\(120\) 9.13675 + 7.22227i 0.834067 + 0.659300i
\(121\) −5.45490 + 9.44816i −0.495900 + 0.858924i
\(122\) −0.886996 4.75877i −0.0803048 0.430839i
\(123\) −5.89945 + 7.03069i −0.531935 + 0.633936i
\(124\) −1.60457 8.16602i −0.144094 0.733330i
\(125\) −4.57699 7.92759i −0.409379 0.709065i
\(126\) 6.20285 + 7.24766i 0.552594 + 0.645673i
\(127\) −17.1851 + 6.25486i −1.52493 + 0.555029i −0.962373 0.271730i \(-0.912404\pi\)
−0.562556 + 0.826759i \(0.690182\pi\)
\(128\) 9.14230 + 6.66471i 0.808073 + 0.589082i
\(129\) −2.59055 0.456784i −0.228085 0.0402176i
\(130\) 5.09097 6.18865i 0.446507 0.542781i
\(131\) −1.78093 2.12243i −0.155601 0.185438i 0.682612 0.730781i \(-0.260844\pi\)
−0.838213 + 0.545343i \(0.816399\pi\)
\(132\) 0.437735 0.542812i 0.0380999 0.0472457i
\(133\) −6.14892 16.6991i −0.533179 1.44800i
\(134\) −9.22040 3.25456i −0.796521 0.281151i
\(135\) −14.6748 + 12.3136i −1.26301 + 1.05979i
\(136\) 2.67947 + 12.9673i 0.229763 + 1.11194i
\(137\) −1.84783 + 10.4796i −0.157871 + 0.895330i 0.798243 + 0.602335i \(0.205763\pi\)
−0.956114 + 0.292995i \(0.905348\pi\)
\(138\) −5.05043 0.839870i −0.429921 0.0714945i
\(139\) −6.24308 17.1527i −0.529531 1.45487i −0.859624 0.510927i \(-0.829302\pi\)
0.330093 0.943948i \(-0.392920\pi\)
\(140\) 10.4336 + 27.0161i 0.881803 + 2.28328i
\(141\) −3.30526 + 1.90829i −0.278353 + 0.160707i
\(142\) 3.07753 + 5.21247i 0.258260 + 0.437421i
\(143\) −0.367550 0.308411i −0.0307361 0.0257906i
\(144\) −4.89355 + 4.44237i −0.407796 + 0.370197i
\(145\) 1.64710 + 0.950952i 0.136784 + 0.0789723i
\(146\) 12.7979 0.124708i 1.05916 0.0103209i
\(147\) −1.94873 11.0518i −0.160729 0.911537i
\(148\) −3.19234 3.65731i −0.262409 0.300629i
\(149\) 14.1321 + 5.14368i 1.15775 + 0.421387i 0.848293 0.529527i \(-0.177630\pi\)
0.309457 + 0.950913i \(0.399853\pi\)
\(150\) −11.6533 + 4.37052i −0.951489 + 0.356851i
\(151\) 15.0749 1.22678 0.613389 0.789781i \(-0.289806\pi\)
0.613389 + 0.789781i \(0.289806\pi\)
\(152\) 11.4400 4.59641i 0.927904 0.372818i
\(153\) −7.73522 −0.625355
\(154\) 1.62356 0.608910i 0.130831 0.0490673i
\(155\) 13.8691 + 5.04792i 1.11399 + 0.405459i
\(156\) −2.43917 2.79443i −0.195290 0.223734i
\(157\) −2.81624 15.9717i −0.224761 1.27468i −0.863142 0.504961i \(-0.831507\pi\)
0.638381 0.769720i \(-0.279604\pi\)
\(158\) −0.281606 + 0.00274410i −0.0224034 + 0.000218309i
\(159\) 5.23211 + 3.02076i 0.414933 + 0.239562i
\(160\) −18.4979 + 7.77258i −1.46239 + 0.614476i
\(161\) −9.75260 8.18340i −0.768613 0.644942i
\(162\) 0.944065 + 1.59898i 0.0741727 + 0.125628i
\(163\) 5.45589 3.14996i 0.427338 0.246724i −0.270874 0.962615i \(-0.587313\pi\)
0.698212 + 0.715891i \(0.253979\pi\)
\(164\) −5.69642 14.7499i −0.444815 1.15177i
\(165\) 0.422969 + 1.16210i 0.0329281 + 0.0904692i
\(166\) 20.7857 + 3.45659i 1.61328 + 0.268284i
\(167\) 0.932562 5.28882i 0.0721638 0.409261i −0.927231 0.374489i \(-0.877818\pi\)
0.999395 0.0347725i \(-0.0110707\pi\)
\(168\) 13.1277 2.71262i 1.01283 0.209283i
\(169\) 8.00348 6.71572i 0.615653 0.516594i
\(170\) −22.1440 7.81625i −1.69837 0.599479i
\(171\) 1.27721 + 7.08805i 0.0976707 + 0.542037i
\(172\) 2.84480 3.52769i 0.216914 0.268984i
\(173\) −9.95804 11.8675i −0.757096 0.902271i 0.240565 0.970633i \(-0.422667\pi\)
−0.997661 + 0.0683617i \(0.978223\pi\)
\(174\) 0.559268 0.679855i 0.0423980 0.0515396i
\(175\) −30.4785 5.37418i −2.30396 0.406250i
\(176\) 0.454559 + 1.11202i 0.0342637 + 0.0838218i
\(177\) −5.94070 + 2.16224i −0.446531 + 0.162524i
\(178\) −6.08213 7.10660i −0.455875 0.532662i
\(179\) −4.09294 7.08919i −0.305921 0.529871i 0.671545 0.740964i \(-0.265631\pi\)
−0.977466 + 0.211093i \(0.932298\pi\)
\(180\) −2.25992 11.5013i −0.168445 0.857256i
\(181\) −11.2531 + 13.4109i −0.836434 + 0.996823i 0.163514 + 0.986541i \(0.447717\pi\)
−0.999947 + 0.0102816i \(0.996727\pi\)
\(182\) −1.69009 9.06740i −0.125278 0.672120i
\(183\) 1.98684 3.44131i 0.146871 0.254389i
\(184\) 5.46969 6.91959i 0.403231 0.510119i
\(185\) 8.47866 1.49502i 0.623364 0.109916i
\(186\) 3.35796 5.94929i 0.246217 0.436223i
\(187\) −0.480885 + 1.32122i −0.0351658 + 0.0966173i
\(188\) −0.128131 6.57394i −0.00934491 0.479454i
\(189\) 22.0491i 1.60384i
\(190\) −3.50597 + 21.5819i −0.254350 + 1.56572i
\(191\) 5.42765i 0.392731i 0.980531 + 0.196366i \(0.0629139\pi\)
−0.980531 + 0.196366i \(0.937086\pi\)
\(192\) 2.14438 + 9.03629i 0.154757 + 0.652138i
\(193\) −3.00336 + 8.25165i −0.216186 + 0.593967i −0.999622 0.0275063i \(-0.991243\pi\)
0.783435 + 0.621473i \(0.213466\pi\)
\(194\) −7.47260 4.21776i −0.536502 0.302818i
\(195\) 6.47828 1.14230i 0.463919 0.0818014i
\(196\) 18.2931 + 6.25722i 1.30665 + 0.446944i
\(197\) 1.49191 2.58406i 0.106294 0.184107i −0.807972 0.589221i \(-0.799435\pi\)
0.914266 + 0.405114i \(0.132768\pi\)
\(198\) −0.689912 + 0.128594i −0.0490299 + 0.00913876i
\(199\) 0.554813 0.661200i 0.0393297 0.0468713i −0.746021 0.665922i \(-0.768038\pi\)
0.785351 + 0.619051i \(0.212483\pi\)
\(200\) 3.10455 21.2158i 0.219525 1.50019i
\(201\) −4.01327 6.95119i −0.283075 0.490299i
\(202\) −5.89077 + 5.04157i −0.414473 + 0.354723i
\(203\) 2.05706 0.748708i 0.144377 0.0525490i
\(204\) −5.25029 + 9.51741i −0.367594 + 0.666352i
\(205\) 27.6155 + 4.86936i 1.92875 + 0.340091i
\(206\) −20.0656 16.5066i −1.39804 1.15007i
\(207\) 3.31204 + 3.94714i 0.230203 + 0.274345i
\(208\) 6.24514 1.35403i 0.433022 0.0938853i
\(209\) 1.29008 + 0.222497i 0.0892369 + 0.0153904i
\(210\) −7.91295 + 22.4179i −0.546045 + 1.54698i
\(211\) 6.79371 5.70060i 0.467698 0.392446i −0.378256 0.925701i \(-0.623476\pi\)
0.845954 + 0.533256i \(0.179032\pi\)
\(212\) −8.91072 + 5.37881i −0.611990 + 0.369418i
\(213\) −0.862851 + 4.89347i −0.0591216 + 0.335295i
\(214\) 3.85934 23.2075i 0.263819 1.58643i
\(215\) 2.74884 + 7.55238i 0.187469 + 0.515068i
\(216\) −15.2695 + 0.446490i −1.03896 + 0.0303798i
\(217\) 14.7117 8.49382i 0.998698 0.576598i
\(218\) 10.3790 6.12794i 0.702955 0.415036i
\(219\) 8.04811 + 6.75317i 0.543841 + 0.456337i
\(220\) −2.10499 0.329007i −0.141918 0.0221817i
\(221\) 6.47696 + 3.73948i 0.435688 + 0.251544i
\(222\) −0.0388302 3.98486i −0.00260611 0.267446i
\(223\) 2.08177 + 11.8063i 0.139406 + 0.790610i 0.971690 + 0.236260i \(0.0759218\pi\)
−0.832284 + 0.554350i \(0.812967\pi\)
\(224\) −6.83240 + 22.0603i −0.456509 + 1.47397i
\(225\) 11.7704 + 4.28406i 0.784691 + 0.285604i
\(226\) 5.29101 + 14.1077i 0.351953 + 0.938429i
\(227\) 3.59398 0.238541 0.119270 0.992862i \(-0.461944\pi\)
0.119270 + 0.992862i \(0.461944\pi\)
\(228\) 9.58804 + 3.23955i 0.634984 + 0.214545i
\(229\) 8.48334 0.560595 0.280297 0.959913i \(-0.409567\pi\)
0.280297 + 0.959913i \(0.409567\pi\)
\(230\) 5.49306 + 14.6464i 0.362202 + 0.965756i
\(231\) 1.33757 + 0.486834i 0.0880054 + 0.0320313i
\(232\) 0.560151 + 1.40939i 0.0367757 + 0.0925313i
\(233\) 3.62386 + 20.5519i 0.237407 + 1.34640i 0.837485 + 0.546461i \(0.184025\pi\)
−0.600078 + 0.799942i \(0.704864\pi\)
\(234\) 0.0363745 + 3.73284i 0.00237787 + 0.244024i
\(235\) 10.0987 + 5.83046i 0.658763 + 0.380337i
\(236\) 1.68190 10.7608i 0.109482 0.700468i
\(237\) −0.177092 0.148598i −0.0115034 0.00965247i
\(238\) −23.2748 + 13.7418i −1.50868 + 0.890749i
\(239\) −22.9107 + 13.2275i −1.48197 + 0.855617i −0.999791 0.0204539i \(-0.993489\pi\)
−0.482182 + 0.876071i \(0.660156\pi\)
\(240\) −15.6851 5.02592i −1.01247 0.324422i
\(241\) −5.36811 14.7488i −0.345790 0.950051i −0.983681 0.179924i \(-0.942415\pi\)
0.637890 0.770127i \(-0.279807\pi\)
\(242\) 2.53100 15.2198i 0.162699 0.978364i
\(243\) 2.54887 14.4554i 0.163510 0.927312i
\(244\) 3.53780 + 5.86083i 0.226484 + 0.375201i
\(245\) −26.2659 + 22.0397i −1.67807 + 1.40807i
\(246\) 4.32021 12.2394i 0.275446 0.780359i
\(247\) 2.35716 6.55252i 0.149983 0.416927i
\(248\) 6.18006 + 10.0162i 0.392434 + 0.636028i
\(249\) 11.1183 + 13.2502i 0.704592 + 0.839700i
\(250\) 9.99759 + 8.22431i 0.632303 + 0.520151i
\(251\) 1.99182 + 0.351211i 0.125722 + 0.0221682i 0.236155 0.971715i \(-0.424113\pi\)
−0.110433 + 0.993884i \(0.535224\pi\)
\(252\) −11.8128 6.51656i −0.744137 0.410505i
\(253\) 0.880099 0.320330i 0.0553313 0.0201390i
\(254\) 19.6494 16.8167i 1.23291 1.05518i
\(255\) −9.63840 16.6942i −0.603580 1.04543i
\(256\) −15.4156 4.28486i −0.963473 0.267804i
\(257\) −2.96164 + 3.52955i −0.184742 + 0.220167i −0.850465 0.526032i \(-0.823679\pi\)
0.665722 + 0.746200i \(0.268124\pi\)
\(258\) 3.65712 0.681657i 0.227683 0.0424381i
\(259\) 4.95471 8.58181i 0.307871 0.533248i
\(260\) −3.66782 + 10.7230i −0.227469 + 0.665010i
\(261\) −0.872518 + 0.153848i −0.0540075 + 0.00952298i
\(262\) 3.41225 + 1.92598i 0.210810 + 0.118987i
\(263\) −3.03627 + 8.34207i −0.187224 + 0.514394i −0.997422 0.0717627i \(-0.977138\pi\)
0.810198 + 0.586157i \(0.199360\pi\)
\(264\) −0.310057 + 0.936150i −0.0190827 + 0.0576161i
\(265\) 18.4588i 1.13392i
\(266\) 16.4351 + 19.0585i 1.00770 + 1.16855i
\(267\) 7.67849i 0.469916i
\(268\) 13.8255 0.269468i 0.844524 0.0164604i
\(269\) −2.44696 + 6.72295i −0.149193 + 0.409906i −0.991666 0.128833i \(-0.958877\pi\)
0.842473 + 0.538739i \(0.181099\pi\)
\(270\) 13.3165 23.5928i 0.810417 1.43581i
\(271\) −31.4126 + 5.53889i −1.90818 + 0.336464i −0.997122 0.0758130i \(-0.975845\pi\)
−0.911059 + 0.412277i \(0.864734\pi\)
\(272\) −9.98779 15.8400i −0.605599 0.960440i
\(273\) 3.78574 6.55709i 0.229123 0.396853i
\(274\) −2.75751 14.7942i −0.166587 0.893750i
\(275\) 1.46349 1.74412i 0.0882516 0.105174i
\(276\) 7.10461 1.39601i 0.427647 0.0840297i
\(277\) −5.16272 8.94209i −0.310198 0.537278i 0.668207 0.743975i \(-0.267062\pi\)
−0.978405 + 0.206697i \(0.933729\pi\)
\(278\) 16.7851 + 19.6124i 1.00670 + 1.17627i
\(279\) −6.46072 + 2.35151i −0.386793 + 0.140781i
\(280\) −27.2323 30.5918i −1.62744 1.82821i
\(281\) −24.7357 4.36157i −1.47561 0.260190i −0.622787 0.782391i \(-0.714000\pi\)
−0.852822 + 0.522202i \(0.825111\pi\)
\(282\) 3.42897 4.16831i 0.204192 0.248219i
\(283\) 9.40772 + 11.2117i 0.559231 + 0.666465i 0.969384 0.245552i \(-0.0789691\pi\)
−0.410153 + 0.912017i \(0.634525\pi\)
\(284\) −6.66370 5.37374i −0.395418 0.318873i
\(285\) −13.7060 + 11.5885i −0.811875 + 0.686443i
\(286\) 0.639854 + 0.225852i 0.0378353 + 0.0133549i
\(287\) 24.7245 20.7463i 1.45944 1.22462i
\(288\) 4.27364 8.31257i 0.251827 0.489823i
\(289\) 0.853710 4.84163i 0.0502183 0.284802i
\(290\) −2.65326 0.441229i −0.155805 0.0259099i
\(291\) −2.40912 6.61901i −0.141225 0.388013i
\(292\) −16.8844 + 6.52075i −0.988082 + 0.381598i
\(293\) 25.4984 14.7215i 1.48963 0.860039i 0.489701 0.871890i \(-0.337106\pi\)
0.999930 + 0.0118513i \(0.00377249\pi\)
\(294\) 8.06891 + 13.6665i 0.470588 + 0.797045i
\(295\) 14.7967 + 12.4159i 0.861494 + 0.722880i
\(296\) 6.04341 + 3.25746i 0.351266 + 0.189336i
\(297\) −1.40476 0.811036i −0.0815122 0.0470611i
\(298\) −21.2675 + 0.207240i −1.23199 + 0.0120051i
\(299\) −0.865101 4.90623i −0.0500301 0.283735i
\(300\) 13.2603 11.5744i 0.765582 0.668251i
\(301\) 8.69273 + 3.16390i 0.501041 + 0.182364i
\(302\) −19.9614 + 7.48643i −1.14865 + 0.430796i
\(303\) −6.36482 −0.365649
\(304\) −12.8656 + 11.7676i −0.737892 + 0.674918i
\(305\) −12.1409 −0.695185
\(306\) 10.2426 3.84143i 0.585530 0.219600i
\(307\) −14.8744 5.41384i −0.848926 0.308984i −0.119324 0.992855i \(-0.538073\pi\)
−0.729602 + 0.683872i \(0.760295\pi\)
\(308\) −1.84745 + 1.61258i −0.105268 + 0.0918850i
\(309\) −3.70369 21.0047i −0.210696 1.19492i
\(310\) −20.8716 + 0.203382i −1.18543 + 0.0115513i
\(311\) 11.3865 + 6.57399i 0.645669 + 0.372777i 0.786795 0.617215i \(-0.211739\pi\)
−0.141126 + 0.989992i \(0.545072\pi\)
\(312\) 4.61758 + 2.48892i 0.261419 + 0.140907i
\(313\) −15.0193 12.6027i −0.848944 0.712348i 0.110613 0.993864i \(-0.464719\pi\)
−0.959557 + 0.281515i \(0.909163\pi\)
\(314\) 11.6609 + 19.7503i 0.658064 + 1.11458i
\(315\) 20.7205 11.9630i 1.16747 0.674038i
\(316\) 0.371526 0.143484i 0.0209000 0.00807159i
\(317\) 2.06718 + 5.67953i 0.116104 + 0.318994i 0.984110 0.177560i \(-0.0568205\pi\)
−0.868005 + 0.496555i \(0.834598\pi\)
\(318\) −8.42825 1.40159i −0.472633 0.0785973i
\(319\) −0.0279647 + 0.158596i −0.00156572 + 0.00887966i
\(320\) 20.6340 19.4784i 1.15348 1.08888i
\(321\) 14.7941 12.4137i 0.825726 0.692866i
\(322\) 16.9779 + 5.99276i 0.946142 + 0.333963i
\(323\) −20.4060 + 0.0764404i −1.13542 + 0.00425326i
\(324\) −2.04416 1.64845i −0.113565 0.0915808i
\(325\) −7.78467 9.27741i −0.431816 0.514618i
\(326\) −5.66009 + 6.88050i −0.313484 + 0.381075i
\(327\) 9.74382 + 1.71810i 0.538835 + 0.0950111i
\(328\) 14.8679 + 16.7021i 0.820944 + 0.922221i
\(329\) 12.6122 4.59047i 0.695333 0.253081i
\(330\) −1.13719 1.32874i −0.0626003 0.0731447i
\(331\) −1.83555 3.17926i −0.100891 0.174748i 0.811161 0.584823i \(-0.198836\pi\)
−0.912052 + 0.410075i \(0.865503\pi\)
\(332\) −29.2400 + 5.74545i −1.60475 + 0.315323i
\(333\) −2.57797 + 3.07230i −0.141272 + 0.168361i
\(334\) 1.39166 + 7.46632i 0.0761482 + 0.408539i
\(335\) −12.2619 + 21.2382i −0.669937 + 1.16036i
\(336\) −16.0359 + 10.1113i −0.874832 + 0.551619i
\(337\) −17.7177 + 3.12412i −0.965147 + 0.170181i −0.633945 0.773378i \(-0.718565\pi\)
−0.331202 + 0.943560i \(0.607454\pi\)
\(338\) −7.26268 + 12.8673i −0.395038 + 0.699887i
\(339\) −4.23026 + 11.6225i −0.229756 + 0.631250i
\(340\) 33.2036 0.647163i 1.80072 0.0350973i
\(341\) 1.24972i 0.0676761i
\(342\) −5.21125 8.75136i −0.281792 0.473219i
\(343\) 10.8874i 0.587864i
\(344\) −2.01504 + 6.08396i −0.108644 + 0.328025i
\(345\) −4.39180 + 12.0664i −0.236447 + 0.649632i
\(346\) 19.0795 + 10.7691i 1.02572 + 0.578949i
\(347\) −16.0384 + 2.82801i −0.860988 + 0.151815i −0.586672 0.809824i \(-0.699562\pi\)
−0.274316 + 0.961640i \(0.588451\pi\)
\(348\) −0.402928 + 1.17797i −0.0215992 + 0.0631459i
\(349\) 5.92019 10.2541i 0.316901 0.548888i −0.662939 0.748673i \(-0.730691\pi\)
0.979840 + 0.199785i \(0.0640245\pi\)
\(350\) 43.0270 8.01988i 2.29989 0.428681i
\(351\) −5.54611 + 6.60960i −0.296030 + 0.352794i
\(352\) −1.15415 1.24674i −0.0615165 0.0664516i
\(353\) 12.9044 + 22.3511i 0.686833 + 1.18963i 0.972857 + 0.231408i \(0.0743331\pi\)
−0.286023 + 0.958223i \(0.592334\pi\)
\(354\) 6.79258 5.81337i 0.361021 0.308977i
\(355\) 14.2662 5.19248i 0.757172 0.275588i
\(356\) 11.5829 + 6.38973i 0.613892 + 0.338655i
\(357\) −21.8504 3.85281i −1.15644 0.203912i
\(358\) 8.94027 + 7.35453i 0.472508 + 0.388699i
\(359\) −2.73656 3.26130i −0.144430 0.172125i 0.688980 0.724781i \(-0.258059\pi\)
−0.833410 + 0.552656i \(0.813614\pi\)
\(360\) 8.70420 + 14.1071i 0.458752 + 0.743511i
\(361\) 3.43941 + 18.6861i 0.181021 + 0.983479i
\(362\) 8.24069 23.3465i 0.433121 1.22706i
\(363\) 9.70214 8.14106i 0.509230 0.427295i
\(364\) 6.74094 + 11.1673i 0.353321 + 0.585324i
\(365\) 5.57401 31.6118i 0.291757 1.65464i
\(366\) −0.921867 + 5.54350i −0.0481868 + 0.289764i
\(367\) 0.887138 + 2.43739i 0.0463082 + 0.127231i 0.960691 0.277620i \(-0.0895457\pi\)
−0.914383 + 0.404851i \(0.867323\pi\)
\(368\) −3.80631 + 11.8789i −0.198418 + 0.619231i
\(369\) −11.3127 + 6.53139i −0.588916 + 0.340011i
\(370\) −10.4846 + 6.19026i −0.545067 + 0.321817i
\(371\) −16.2753 13.6566i −0.844973 0.709017i
\(372\) −1.49193 + 9.54536i −0.0773530 + 0.494904i
\(373\) −32.6213 18.8339i −1.68907 0.975183i −0.955233 0.295854i \(-0.904396\pi\)
−0.733833 0.679330i \(-0.762271\pi\)
\(374\) −0.0193750 1.98831i −0.00100186 0.102813i
\(375\) 1.84534 + 10.4655i 0.0952932 + 0.540434i
\(376\) 3.43439 + 8.64126i 0.177115 + 0.445639i
\(377\) 0.804965 + 0.292983i 0.0414578 + 0.0150894i
\(378\) −10.9499 29.1963i −0.563204 1.50170i
\(379\) −17.6837 −0.908353 −0.454177 0.890912i \(-0.650066\pi\)
−0.454177 + 0.890912i \(0.650066\pi\)
\(380\) −6.07548 30.3188i −0.311666 1.55532i
\(381\) 21.2306 1.08768
\(382\) −2.69546 7.18703i −0.137912 0.367720i
\(383\) 18.5485 + 6.75110i 0.947785 + 0.344965i 0.769235 0.638966i \(-0.220637\pi\)
0.178549 + 0.983931i \(0.442860\pi\)
\(384\) −7.32704 10.9005i −0.373907 0.556262i
\(385\) −0.755191 4.28290i −0.0384881 0.218277i
\(386\) −0.121006 12.4179i −0.00615904 0.632057i
\(387\) −3.24237 1.87199i −0.164819 0.0951584i
\(388\) 11.9895 + 1.87394i 0.608672 + 0.0951349i
\(389\) 15.7275 + 13.1970i 0.797418 + 0.669113i 0.947569 0.319550i \(-0.103532\pi\)
−0.150152 + 0.988663i \(0.547976\pi\)
\(390\) −8.01093 + 4.72978i −0.405649 + 0.239502i
\(391\) −12.6431 + 7.29951i −0.639390 + 0.369152i
\(392\) −27.3303 + 0.799157i −1.38039 + 0.0403635i
\(393\) 1.10009 + 3.02247i 0.0554922 + 0.152463i
\(394\) −0.692225 + 4.16259i −0.0348738 + 0.209708i
\(395\) −0.122651 + 0.695591i −0.00617127 + 0.0349990i
\(396\) 0.849685 0.512898i 0.0426983 0.0257741i
\(397\) 4.01047 3.36518i 0.201280 0.168894i −0.536577 0.843852i \(-0.680283\pi\)
0.737856 + 0.674958i \(0.235838\pi\)
\(398\) −0.406293 + 1.15106i −0.0203656 + 0.0576973i
\(399\) 0.0773861 + 20.6584i 0.00387415 + 1.03421i
\(400\) 6.42522 + 29.6347i 0.321261 + 1.48174i
\(401\) 16.5098 + 19.6756i 0.824458 + 0.982550i 0.999998 0.00192191i \(-0.000611762\pi\)
−0.175541 + 0.984472i \(0.556167\pi\)
\(402\) 8.76625 + 7.21137i 0.437221 + 0.359670i
\(403\) 6.54659 + 1.15434i 0.326109 + 0.0575018i
\(404\) 5.29654 9.60124i 0.263513 0.477679i
\(405\) 4.37632 1.59285i 0.217461 0.0791493i
\(406\) −2.35203 + 2.01297i −0.116730 + 0.0999020i
\(407\) 0.364500 + 0.631333i 0.0180676 + 0.0312940i
\(408\) 2.22568 15.2099i 0.110188 0.753000i
\(409\) 15.6062 18.5987i 0.771676 0.919648i −0.226850 0.973930i \(-0.572843\pi\)
0.998526 + 0.0542822i \(0.0172871\pi\)
\(410\) −38.9853 + 7.26653i −1.92535 + 0.358868i
\(411\) 6.17673 10.6984i 0.304676 0.527714i
\(412\) 34.7673 + 11.8923i 1.71286 + 0.585890i
\(413\) 21.8944 3.86058i 1.07735 0.189967i
\(414\) −6.34585 3.58179i −0.311882 0.176035i
\(415\) 18.0750 49.6607i 0.887268 2.43775i
\(416\) −7.59706 + 4.89437i −0.372477 + 0.239966i
\(417\) 21.1906i 1.03771i
\(418\) −1.81876 + 0.346056i −0.0889584 + 0.0169262i
\(419\) 3.51321i 0.171632i 0.996311 + 0.0858159i \(0.0273497\pi\)
−0.996311 + 0.0858159i \(0.972650\pi\)
\(420\) −0.655169 33.6144i −0.0319690 1.64021i
\(421\) −0.483024 + 1.32710i −0.0235412 + 0.0646788i −0.950907 0.309478i \(-0.899846\pi\)
0.927365 + 0.374157i \(0.122068\pi\)
\(422\) −6.16489 + 10.9223i −0.300102 + 0.531690i
\(423\) −5.34957 + 0.943273i −0.260105 + 0.0458635i
\(424\) 9.12792 11.5475i 0.443291 0.560799i
\(425\) −17.7447 + 30.7348i −0.860746 + 1.49086i
\(426\) −1.28763 6.90819i −0.0623859 0.334703i
\(427\) −8.98236 + 10.7048i −0.434687 + 0.518039i
\(428\) 6.41488 + 32.6469i 0.310075 + 1.57805i
\(429\) 0.278503 + 0.482381i 0.0134462 + 0.0232896i
\(430\) −7.39051 8.63537i −0.356402 0.416434i
\(431\) 29.6032 10.7747i 1.42594 0.518998i 0.490172 0.871626i \(-0.336934\pi\)
0.935764 + 0.352628i \(0.114712\pi\)
\(432\) 19.9973 8.17427i 0.962122 0.393285i
\(433\) 32.3517 + 5.70447i 1.55472 + 0.274139i 0.883970 0.467543i \(-0.154861\pi\)
0.670751 + 0.741683i \(0.265972\pi\)
\(434\) −15.2624 + 18.5532i −0.732618 + 0.890581i
\(435\) −1.41923 1.69137i −0.0680469 0.0810951i
\(436\) −10.7001 + 13.2687i −0.512444 + 0.635455i
\(437\) 8.77638 + 10.3801i 0.419831 + 0.496546i
\(438\) −14.0106 4.94539i −0.669454 0.236300i
\(439\) −1.21027 + 1.01554i −0.0577630 + 0.0484689i −0.671212 0.741265i \(-0.734226\pi\)
0.613449 + 0.789734i \(0.289782\pi\)
\(440\) 2.95071 0.609714i 0.140669 0.0290670i
\(441\) 2.77360 15.7299i 0.132076 0.749041i
\(442\) −10.4336 1.73507i −0.496273 0.0825287i
\(443\) −0.331536 0.910886i −0.0157517 0.0432775i 0.931568 0.363568i \(-0.118442\pi\)
−0.947319 + 0.320291i \(0.896219\pi\)
\(444\) 2.03036 + 5.25727i 0.0963566 + 0.249499i
\(445\) −20.3172 + 11.7301i −0.963128 + 0.556062i
\(446\) −8.61978 14.5995i −0.408159 0.691306i
\(447\) −13.3744 11.2224i −0.632586 0.530802i
\(448\) −1.90837 32.6042i −0.0901622 1.54041i
\(449\) −18.7171 10.8063i −0.883312 0.509981i −0.0115631 0.999933i \(-0.503681\pi\)
−0.871749 + 0.489953i \(0.837014\pi\)
\(450\) −17.7133 + 0.172606i −0.835011 + 0.00813672i
\(451\) 0.412309 + 2.33832i 0.0194149 + 0.110107i
\(452\) −14.0122 16.0531i −0.659078 0.755074i
\(453\) −16.4451 5.98554i −0.772659 0.281225i
\(454\) −4.75896 + 1.78483i −0.223349 + 0.0837660i
\(455\) −23.1333 −1.08451
\(456\) −14.3048 + 0.471920i −0.669885 + 0.0220997i
\(457\) −14.8816 −0.696132 −0.348066 0.937470i \(-0.613162\pi\)
−0.348066 + 0.937470i \(0.613162\pi\)
\(458\) −11.2332 + 4.21296i −0.524893 + 0.196859i
\(459\) 23.7593 + 8.64769i 1.10899 + 0.403639i
\(460\) −14.5473 16.6661i −0.678270 0.777061i
\(461\) 0.538610 + 3.05461i 0.0250856 + 0.142267i 0.994778 0.102061i \(-0.0325437\pi\)
−0.969693 + 0.244328i \(0.921433\pi\)
\(462\) −2.01291 + 0.0196146i −0.0936489 + 0.000912556i
\(463\) −10.3891 5.99813i −0.482821 0.278757i 0.238771 0.971076i \(-0.423256\pi\)
−0.721591 + 0.692319i \(0.756589\pi\)
\(464\) −1.44165 1.58807i −0.0669270 0.0737243i
\(465\) −13.1254 11.0135i −0.608675 0.510739i
\(466\) −15.0050 25.4142i −0.695091 1.17729i
\(467\) −6.20648 + 3.58331i −0.287202 + 0.165816i −0.636679 0.771129i \(-0.719692\pi\)
0.349478 + 0.936945i \(0.386359\pi\)
\(468\) −1.90195 4.92478i −0.0879179 0.227648i
\(469\) 9.65407 + 26.5243i 0.445783 + 1.22478i
\(470\) −16.2676 2.70525i −0.750370 0.124784i
\(471\) −3.26939 + 18.5416i −0.150646 + 0.854354i
\(472\) 3.11689 + 15.0842i 0.143466 + 0.694305i
\(473\) −0.521319 + 0.437439i −0.0239703 + 0.0201134i
\(474\) 0.308292 + 0.108819i 0.0141603 + 0.00499823i
\(475\) 31.0933 + 11.1853i 1.42666 + 0.513217i
\(476\) 23.9949 29.7548i 1.09980 1.36381i
\(477\) 5.52720 + 6.58706i 0.253073 + 0.301601i
\(478\) 23.7683 28.8931i 1.08713 1.32154i
\(479\) 30.0195 + 5.29324i 1.37162 + 0.241854i 0.810433 0.585831i \(-0.199232\pi\)
0.561192 + 0.827686i \(0.310343\pi\)
\(480\) 23.2654 1.13440i 1.06192 0.0517782i
\(481\) 3.64388 1.32627i 0.166147 0.0604725i
\(482\) 14.4327 + 16.8637i 0.657389 + 0.768120i
\(483\) 7.38981 + 12.7995i 0.336248 + 0.582399i
\(484\) 4.20695 + 21.4102i 0.191225 + 0.973191i
\(485\) −13.8335 + 16.4861i −0.628147 + 0.748597i
\(486\) 3.80367 + 20.4069i 0.172538 + 0.925674i
\(487\) 14.6412 25.3593i 0.663455 1.14914i −0.316246 0.948677i \(-0.602423\pi\)
0.979702 0.200461i \(-0.0642440\pi\)
\(488\) −7.59516 6.00370i −0.343817 0.271775i
\(489\) −7.20250 + 1.26999i −0.325708 + 0.0574311i
\(490\) 23.8348 42.2280i 1.07674 1.90767i
\(491\) 8.64980 23.7651i 0.390360 1.07250i −0.576478 0.817113i \(-0.695573\pi\)
0.966838 0.255392i \(-0.0822045\pi\)
\(492\) 0.357701 + 18.3523i 0.0161264 + 0.827388i
\(493\) 2.51026i 0.113056i
\(494\) 0.132847 + 9.84712i 0.00597705 + 0.443043i
\(495\) 1.76015i 0.0791127i
\(496\) −13.1575 10.1938i −0.590790 0.457716i
\(497\) 5.97650 16.4203i 0.268083 0.736551i
\(498\) −21.3025 12.0238i −0.954590 0.538799i
\(499\) 19.5472 3.44669i 0.875052 0.154295i 0.281956 0.959427i \(-0.409017\pi\)
0.593096 + 0.805132i \(0.297906\pi\)
\(500\) −17.3226 5.92526i −0.774691 0.264986i
\(501\) −3.11727 + 5.39927i −0.139269 + 0.241221i
\(502\) −2.81188 + 0.524111i −0.125500 + 0.0233922i
\(503\) 10.8354 12.9131i 0.483127 0.575768i −0.468329 0.883554i \(-0.655144\pi\)
0.951456 + 0.307786i \(0.0995881\pi\)
\(504\) 18.8782 + 2.76247i 0.840900 + 0.123050i
\(505\) 9.72330 + 16.8412i 0.432681 + 0.749425i
\(506\) −1.00630 + 0.861235i −0.0447356 + 0.0382866i
\(507\) −11.3974 + 4.14833i −0.506178 + 0.184234i
\(508\) −17.6672 + 32.0261i −0.783857 + 1.42093i
\(509\) −5.53279 0.975580i −0.245237 0.0432418i 0.0496786 0.998765i \(-0.484180\pi\)
−0.294915 + 0.955523i \(0.595291\pi\)
\(510\) 21.0533 + 17.3190i 0.932255 + 0.766900i
\(511\) −23.7486 28.3024i −1.05057 1.25203i
\(512\) 22.5405 1.98182i 0.996157 0.0875848i
\(513\) 4.00113 23.1994i 0.176654 1.02428i
\(514\) 2.16883 6.14445i 0.0956630 0.271020i
\(515\) −49.9202 + 41.8880i −2.19975 + 1.84581i
\(516\) −4.50406 + 2.71880i −0.198280 + 0.119689i
\(517\) −0.171457 + 0.972379i −0.00754066 + 0.0427652i
\(518\) −2.29892 + 13.8242i −0.101009 + 0.607400i
\(519\) 6.15113 + 16.9001i 0.270005 + 0.741831i
\(520\) −0.468445 16.0203i −0.0205427 0.702537i
\(521\) 10.7604 6.21252i 0.471422 0.272175i −0.245413 0.969419i \(-0.578924\pi\)
0.716835 + 0.697243i \(0.245590\pi\)
\(522\) 1.07894 0.637024i 0.0472240 0.0278818i
\(523\) −9.51699 7.98570i −0.416149 0.349190i 0.410547 0.911839i \(-0.365338\pi\)
−0.826696 + 0.562649i \(0.809782\pi\)
\(524\) −5.47480 0.855706i −0.239168 0.0373817i
\(525\) 31.1150 + 17.9643i 1.35797 + 0.784024i
\(526\) −0.122332 12.5540i −0.00533392 0.547381i
\(527\) −3.38268 19.1841i −0.147352 0.835673i
\(528\) −0.0543445 1.39358i −0.00236504 0.0606479i
\(529\) −12.4746 4.54039i −0.542375 0.197408i
\(530\) 9.16693 + 24.4422i 0.398186 + 1.06170i
\(531\) −8.99795 −0.390478
\(532\) −31.2273 17.0744i −1.35388 0.740267i
\(533\) 12.6300 0.547067
\(534\) 3.81326 + 10.1675i 0.165016 + 0.439990i
\(535\) −55.4469 20.1810i −2.39718 0.872502i
\(536\) −18.1732 + 7.22275i −0.784961 + 0.311975i
\(537\) 1.65019 + 9.35867i 0.0712108 + 0.403856i
\(538\) −0.0985883 10.1174i −0.00425045 0.436192i
\(539\) −2.51432 1.45165i −0.108300 0.0625268i
\(540\) −5.91649 + 37.8536i −0.254605 + 1.62896i
\(541\) 1.32512 + 1.11191i 0.0569713 + 0.0478046i 0.670829 0.741612i \(-0.265939\pi\)
−0.613857 + 0.789417i \(0.710383\pi\)
\(542\) 38.8443 22.9343i 1.66851 0.985113i
\(543\) 17.6007 10.1618i 0.755320 0.436084i
\(544\) 21.0917 + 16.0144i 0.904300 + 0.686613i
\(545\) −10.3392 28.4067i −0.442883 1.21681i
\(546\) −1.75653 + 10.5626i −0.0751726 + 0.452039i
\(547\) −1.45078 + 8.22779i −0.0620309 + 0.351795i 0.937956 + 0.346753i \(0.112716\pi\)
−0.999987 + 0.00504147i \(0.998395\pi\)
\(548\) 10.9984 + 18.2203i 0.469828 + 0.778333i
\(549\) 4.33250 3.63540i 0.184907 0.155155i
\(550\) −1.07172 + 3.03626i −0.0456983 + 0.129467i
\(551\) −2.30024 + 0.414484i −0.0979934 + 0.0176576i
\(552\) −8.71429 + 5.37678i −0.370905 + 0.228851i
\(553\) 0.522568 + 0.622772i 0.0222218 + 0.0264829i
\(554\) 11.2770 + 9.27678i 0.479114 + 0.394133i
\(555\) −9.84293 1.73557i −0.417809 0.0736710i
\(556\) −31.9658 17.6340i −1.35565 0.747847i
\(557\) −29.6978 + 10.8091i −1.25834 + 0.457997i −0.883210 0.468977i \(-0.844623\pi\)
−0.375126 + 0.926974i \(0.622400\pi\)
\(558\) 7.38717 6.32225i 0.312724 0.267642i
\(559\) 1.80997 + 3.13496i 0.0765535 + 0.132594i
\(560\) 51.2520 + 26.9842i 2.16579 + 1.14029i
\(561\) 1.04919 1.25038i 0.0442968 0.0527909i
\(562\) 34.9198 6.50876i 1.47300 0.274556i
\(563\) −6.50555 + 11.2679i −0.274176 + 0.474887i −0.969927 0.243396i \(-0.921739\pi\)
0.695751 + 0.718283i \(0.255072\pi\)
\(564\) −2.47043 + 7.22235i −0.104024 + 0.304116i
\(565\) 37.2155 6.56210i 1.56567 0.276070i
\(566\) −18.0251 10.1739i −0.757652 0.427642i
\(567\) 1.83336 5.03711i 0.0769938 0.211539i
\(568\) 11.4924 + 3.80634i 0.482211 + 0.159711i
\(569\) 36.1864i 1.51701i −0.651665 0.758507i \(-0.725929\pi\)
0.651665 0.758507i \(-0.274071\pi\)
\(570\) 12.3938 22.1515i 0.519120 0.927825i
\(571\) 45.6728i 1.91135i 0.294430 + 0.955673i \(0.404870\pi\)
−0.294430 + 0.955673i \(0.595130\pi\)
\(572\) −0.959423 + 0.0186999i −0.0401155 + 0.000781880i
\(573\) 2.15507 5.92099i 0.0900292 0.247353i
\(574\) −22.4360 + 39.7498i −0.936461 + 1.65913i
\(575\) 23.2813 4.10512i 0.970896 0.171195i
\(576\) −1.53079 + 13.1295i −0.0637830 + 0.547061i
\(577\) 7.41053 12.8354i 0.308504 0.534345i −0.669531 0.742784i \(-0.733505\pi\)
0.978035 + 0.208439i \(0.0668383\pi\)
\(578\) 1.27399 + 6.83501i 0.0529910 + 0.284299i
\(579\) 6.55269 7.80919i 0.272320 0.324539i
\(580\) 3.73244 0.733398i 0.154981 0.0304527i
\(581\) −30.4137 52.6781i −1.26177 2.18546i
\(582\) 6.47714 + 7.56815i 0.268486 + 0.313710i
\(583\) 1.46873 0.534573i 0.0608284 0.0221397i
\(584\) 19.1191 17.0195i 0.791155 0.704271i
\(585\) 9.22043 + 1.62581i 0.381218 + 0.0672190i
\(586\) −26.4527 + 32.1564i −1.09275 + 1.32837i
\(587\) 27.2045 + 32.4211i 1.12285 + 1.33816i 0.934460 + 0.356067i \(0.115883\pi\)
0.188391 + 0.982094i \(0.439673\pi\)
\(588\) −17.4714 14.0893i −0.720509 0.581033i
\(589\) −17.0206 + 6.26728i −0.701320 + 0.258239i
\(590\) −25.7589 9.09222i −1.06048 0.374321i
\(591\) −2.65352 + 2.22657i −0.109151 + 0.0915888i
\(592\) −9.62009 1.31211i −0.395383 0.0539275i
\(593\) −4.25553 + 24.1343i −0.174754 + 0.991077i 0.763674 + 0.645602i \(0.223393\pi\)
−0.938428 + 0.345475i \(0.887718\pi\)
\(594\) 2.26288 + 0.376310i 0.0928471 + 0.0154402i
\(595\) 23.1855 + 63.7016i 0.950513 + 2.61151i
\(596\) 28.0585 10.8362i 1.14932 0.443868i
\(597\) −0.867774 + 0.501010i −0.0355156 + 0.0205050i
\(598\) 3.58204 + 6.06697i 0.146480 + 0.248097i
\(599\) −3.72253 3.12357i −0.152098 0.127626i 0.563563 0.826073i \(-0.309430\pi\)
−0.715661 + 0.698447i \(0.753875\pi\)
\(600\) −11.8105 + 21.9115i −0.482163 + 0.894535i
\(601\) 13.4093 + 7.74187i 0.546978 + 0.315798i 0.747902 0.663809i \(-0.231061\pi\)
−0.200925 + 0.979607i \(0.564395\pi\)
\(602\) −13.0817 + 0.127474i −0.533171 + 0.00519545i
\(603\) −1.98377 11.2505i −0.0807853 0.458156i
\(604\) 22.7141 19.8263i 0.924222 0.806721i
\(605\) −36.3628 13.2350i −1.47836 0.538078i
\(606\) 8.42797 3.16087i 0.342363 0.128401i
\(607\) 18.2620 0.741230 0.370615 0.928787i \(-0.379147\pi\)
0.370615 + 0.928787i \(0.379147\pi\)
\(608\) 11.1920 21.9713i 0.453895 0.891055i
\(609\) −2.54131 −0.102979
\(610\) 16.0764 6.02935i 0.650913 0.244121i
\(611\) 4.93539 + 1.79633i 0.199664 + 0.0726719i
\(612\) −11.6550 + 10.1733i −0.471126 + 0.411229i
\(613\) 7.49765 + 42.5213i 0.302827 + 1.71742i 0.633560 + 0.773694i \(0.281593\pi\)
−0.330732 + 0.943725i \(0.607296\pi\)
\(614\) 22.3845 0.218125i 0.903366 0.00880279i
\(615\) −28.1922 16.2768i −1.13682 0.656343i
\(616\) 1.64547 3.05276i 0.0662979 0.122999i
\(617\) −2.81302 2.36041i −0.113248 0.0950264i 0.584405 0.811462i \(-0.301328\pi\)
−0.697653 + 0.716436i \(0.745772\pi\)
\(618\) 15.3355 + 25.9741i 0.616885 + 1.04483i
\(619\) −13.5511 + 7.82373i −0.544665 + 0.314462i −0.746967 0.664861i \(-0.768491\pi\)
0.202303 + 0.979323i \(0.435158\pi\)
\(620\) 27.5361 10.6345i 1.10588 0.427090i
\(621\) −5.76044 15.8267i −0.231159 0.635103i
\(622\) −18.3422 3.05024i −0.735454 0.122304i
\(623\) −4.68896 + 26.5924i −0.187859 + 1.06540i
\(624\) −7.35040 1.00254i −0.294252 0.0401338i
\(625\) −4.16373 + 3.49379i −0.166549 + 0.139751i
\(626\) 26.1466 + 9.22906i 1.04503 + 0.368867i
\(627\) −1.31900 0.754952i −0.0526758 0.0301499i
\(628\) −25.2491 20.3614i −1.00755 0.812509i
\(629\) −7.30421 8.70481i −0.291238 0.347084i
\(630\) −21.4960 + 26.1309i −0.856423 + 1.04108i
\(631\) 38.6875 + 6.82166i 1.54013 + 0.271566i 0.878307 0.478097i \(-0.158673\pi\)
0.661820 + 0.749663i \(0.269784\pi\)
\(632\) −0.420700 + 0.374500i −0.0167346 + 0.0148968i
\(633\) −9.67466 + 3.52129i −0.384533 + 0.139959i
\(634\) −5.55780 6.49396i −0.220728 0.257908i
\(635\) −32.4332 56.1760i −1.28707 2.22928i
\(636\) 11.8563 2.32968i 0.470134 0.0923780i
\(637\) −9.92680 + 11.8303i −0.393314 + 0.468733i
\(638\) −0.0417317 0.223892i −0.00165217 0.00886398i
\(639\) −3.53612 + 6.12474i −0.139887 + 0.242291i
\(640\) −17.6493 + 36.0395i −0.697649 + 1.42459i
\(641\) −34.0089 + 5.99669i −1.34327 + 0.236855i −0.798635 0.601816i \(-0.794444\pi\)
−0.544638 + 0.838671i \(0.683333\pi\)
\(642\) −13.4247 + 23.7846i −0.529833 + 0.938703i
\(643\) 8.89830 24.4479i 0.350915 0.964130i −0.631162 0.775651i \(-0.717422\pi\)
0.982077 0.188479i \(-0.0603559\pi\)
\(644\) −25.4574 + 0.496183i −1.00316 + 0.0195524i
\(645\) 9.33028i 0.367380i
\(646\) 26.9826 10.2351i 1.06162 0.402697i
\(647\) 29.4173i 1.15651i −0.815855 0.578256i \(-0.803733\pi\)
0.815855 0.578256i \(-0.196267\pi\)
\(648\) 3.52543 + 1.16764i 0.138492 + 0.0458691i
\(649\) −0.559387 + 1.53690i −0.0219579 + 0.0603288i
\(650\) 14.9154 + 8.41869i 0.585029 + 0.330208i
\(651\) −19.4214 + 3.42452i −0.761186 + 0.134218i
\(652\) 4.07785 11.9217i 0.159701 0.466890i
\(653\) 5.77812 10.0080i 0.226115 0.391643i −0.730538 0.682872i \(-0.760731\pi\)
0.956654 + 0.291229i \(0.0940640\pi\)
\(654\) −13.7555 + 2.56391i −0.537883 + 0.100257i
\(655\) 6.31686 7.52814i 0.246820 0.294149i
\(656\) −27.9819 14.7325i −1.09251 0.575207i
\(657\) 7.47656 + 12.9498i 0.291688 + 0.505219i
\(658\) −14.4208 + 12.3419i −0.562179 + 0.481137i
\(659\) 7.45091 2.71191i 0.290246 0.105641i −0.192794 0.981239i \(-0.561755\pi\)
0.483040 + 0.875598i \(0.339533\pi\)
\(660\) 2.16568 + 1.19470i 0.0842991 + 0.0465038i
\(661\) 8.97455 + 1.58246i 0.349070 + 0.0615504i 0.345434 0.938443i \(-0.387732\pi\)
0.00363550 + 0.999993i \(0.498843\pi\)
\(662\) 4.00941 + 3.29826i 0.155830 + 0.128190i
\(663\) −5.58091 6.65107i −0.216745 0.258306i
\(664\) 35.8648 22.1289i 1.39183 0.858766i
\(665\) 54.5438 31.7639i 2.11512 1.23175i
\(666\) 1.88786 5.34845i 0.0731532 0.207248i
\(667\) −1.28094 + 1.07483i −0.0495981 + 0.0416178i
\(668\) −5.55065 9.19540i −0.214761 0.355781i
\(669\) 2.41674 13.7060i 0.0934366 0.529905i
\(670\) 5.68934 34.2119i 0.219798 1.32172i
\(671\) −0.351604 0.966024i −0.0135735 0.0372929i
\(672\) 16.2125 21.3526i 0.625412 0.823696i
\(673\) −12.1210 + 6.99808i −0.467231 + 0.269756i −0.715080 0.699043i \(-0.753610\pi\)
0.247849 + 0.968799i \(0.420276\pi\)
\(674\) 21.9095 12.9357i 0.843921 0.498265i
\(675\) −31.3642 26.3177i −1.20721 1.01297i
\(676\) 3.22679 20.6450i 0.124107 0.794037i
\(677\) 38.4118 + 22.1771i 1.47629 + 0.852334i 0.999642 0.0267620i \(-0.00851964\pi\)
0.476644 + 0.879096i \(0.341853\pi\)
\(678\) −0.170438 17.4908i −0.00654563 0.671730i
\(679\) 4.30138 + 24.3943i 0.165072 + 0.936168i
\(680\) −43.6452 + 17.3464i −1.67372 + 0.665203i
\(681\) −3.92065 1.42700i −0.150240 0.0546827i
\(682\) −0.620630 1.65482i −0.0237652 0.0633662i
\(683\) −31.4233 −1.20238 −0.601190 0.799106i \(-0.705307\pi\)
−0.601190 + 0.799106i \(0.705307\pi\)
\(684\) 11.2465 + 9.00012i 0.430022 + 0.344128i
\(685\) −37.7439 −1.44212
\(686\) −5.40685 14.4165i −0.206435 0.550426i
\(687\) −9.25442 3.36833i −0.353078 0.128510i
\(688\) −0.353181 9.05678i −0.0134649 0.345287i
\(689\) −1.44370 8.18762i −0.0550005 0.311923i
\(690\) −0.176947 18.1587i −0.00673624 0.691291i
\(691\) −1.99231 1.15026i −0.0757911 0.0437580i 0.461626 0.887075i \(-0.347266\pi\)
−0.537417 + 0.843317i \(0.680600\pi\)
\(692\) −30.6122 4.78467i −1.16370 0.181886i
\(693\) 1.55194 + 1.30223i 0.0589533 + 0.0494677i
\(694\) 19.8329 11.7096i 0.752845 0.444492i
\(695\) 56.0702 32.3721i 2.12686 1.22795i
\(696\) −0.0514610 1.75991i −0.00195063 0.0667092i
\(697\) −12.6585 34.7790i −0.479475 1.31735i
\(698\) −2.74689 + 16.5180i −0.103971 + 0.625215i
\(699\) 4.20696 23.8589i 0.159122 0.902425i
\(700\) −52.9914 + 31.9874i −2.00289 + 1.20901i
\(701\) 21.6513 18.1676i 0.817757 0.686180i −0.134689 0.990888i \(-0.543003\pi\)
0.952446 + 0.304708i \(0.0985590\pi\)
\(702\) 4.06146 11.5064i 0.153290 0.434281i
\(703\) −6.77049 + 8.13041i −0.255354 + 0.306644i
\(704\) 2.14742 + 1.07770i 0.0809340 + 0.0406175i
\(705\) −8.70156 10.3701i −0.327720 0.390561i
\(706\) −28.1873 23.1877i −1.06084 0.872681i
\(707\) 22.0428 + 3.88675i 0.829006 + 0.146176i
\(708\) −6.10738 + 11.0711i −0.229529 + 0.416077i
\(709\) 22.1340 8.05611i 0.831259 0.302553i 0.108883 0.994055i \(-0.465272\pi\)
0.722375 + 0.691501i \(0.243050\pi\)
\(710\) −16.3119 + 13.9604i −0.612176 + 0.523926i
\(711\) −0.164516 0.284949i −0.00616981 0.0106864i
\(712\) −18.5107 2.70871i −0.693719 0.101513i
\(713\) −8.34092 + 9.94032i −0.312370 + 0.372268i
\(714\) 30.8465 5.74954i 1.15440 0.215171i
\(715\) 0.850917 1.47383i 0.0318225 0.0551182i
\(716\) −15.4906 5.29862i −0.578912 0.198019i
\(717\) 30.2452 5.33305i 1.12953 0.199166i
\(718\) 5.24323 + 2.95944i 0.195675 + 0.110445i
\(719\) −6.03096 + 16.5699i −0.224917 + 0.617954i −0.999902 0.0140260i \(-0.995535\pi\)
0.774985 + 0.631980i \(0.217757\pi\)
\(720\) −18.5315 14.3573i −0.690628 0.535065i
\(721\) 75.0058i 2.79336i
\(722\) −13.8341 23.0351i −0.514852 0.857279i
\(723\) 18.2208i 0.677638i
\(724\) 0.682305 + 35.0067i 0.0253577 + 1.30101i
\(725\) −1.39028 + 3.81976i −0.0516336 + 0.141862i
\(726\) −8.80411 + 15.5982i −0.326751 + 0.578904i
\(727\) −4.39466 + 0.774896i −0.162989 + 0.0287393i −0.254547 0.967060i \(-0.581926\pi\)
0.0915582 + 0.995800i \(0.470815\pi\)
\(728\) −14.4719 11.4395i −0.536363 0.423975i
\(729\) −10.4896 + 18.1685i −0.388504 + 0.672909i
\(730\) 8.31808 + 44.6269i 0.307866 + 1.65171i
\(731\) 6.81860 8.12609i 0.252195 0.300554i
\(732\) −1.53230 7.79824i −0.0566354 0.288231i
\(733\) 18.5155 + 32.0698i 0.683886 + 1.18453i 0.973785 + 0.227469i \(0.0730450\pi\)
−0.289899 + 0.957057i \(0.593622\pi\)
\(734\) −2.38515 2.78690i −0.0880375 0.102867i
\(735\) 37.4043 13.6141i 1.37968 0.502162i
\(736\) −0.859124 17.6197i −0.0316677 0.649472i
\(737\) −2.04498 0.360585i −0.0753279 0.0132823i
\(738\) 11.7361 14.2666i 0.432013 0.525161i
\(739\) −33.1809 39.5434i −1.22058 1.45463i −0.850785 0.525513i \(-0.823873\pi\)
−0.369792 0.929114i \(-0.620571\pi\)
\(740\) 10.8090 13.4036i 0.397346 0.492728i
\(741\) −5.17311 + 6.21219i −0.190039 + 0.228210i
\(742\) 28.3331 + 10.0008i 1.04014 + 0.367142i
\(743\) −1.13874 + 0.955514i −0.0417762 + 0.0350544i −0.663437 0.748232i \(-0.730903\pi\)
0.621660 + 0.783287i \(0.286458\pi\)
\(744\) −2.76483 13.3804i −0.101364 0.490549i
\(745\) −9.26290 + 52.5325i −0.339366 + 1.92464i
\(746\) 52.5487 + 8.73868i 1.92394 + 0.319946i
\(747\) 8.42002 + 23.1338i 0.308073 + 0.846423i
\(748\) 1.01308 + 2.62320i 0.0370419 + 0.0959136i
\(749\) −58.8159 + 33.9574i −2.14909 + 1.24078i
\(750\) −7.64083 12.9414i −0.279004 0.472554i
\(751\) 24.8869 + 20.8826i 0.908134 + 0.762015i 0.971763 0.235958i \(-0.0758229\pi\)
−0.0636288 + 0.997974i \(0.520267\pi\)
\(752\) −8.83903 9.73675i −0.322326 0.355063i
\(753\) −2.03341 1.17399i −0.0741016 0.0427826i
\(754\) −1.21139 + 0.0118044i −0.0441164 + 0.000429889i
\(755\) 9.28494 + 52.6575i 0.337914 + 1.91640i
\(756\) 28.9987 + 33.2224i 1.05467 + 1.20829i
\(757\) −14.9991 5.45921i −0.545150 0.198418i 0.0547403 0.998501i \(-0.482567\pi\)
−0.599890 + 0.800082i \(0.704789\pi\)
\(758\) 23.4159 8.78202i 0.850505 0.318978i
\(759\) −1.08728 −0.0394659
\(760\) 23.1016 + 37.1295i 0.837984 + 1.34683i
\(761\) 37.3192 1.35282 0.676410 0.736526i \(-0.263535\pi\)
0.676410 + 0.736526i \(0.263535\pi\)
\(762\) −28.1125 + 10.5435i −1.01841 + 0.381949i
\(763\) −32.6959 11.9003i −1.18367 0.430821i
\(764\) 7.13838 + 8.17809i 0.258257 + 0.295873i
\(765\) −4.76428 27.0196i −0.172253 0.976894i
\(766\) −27.9137 + 0.272003i −1.00856 + 0.00982788i
\(767\) 7.53430 + 4.34993i 0.272048 + 0.157067i
\(768\) 15.1154 + 10.7951i 0.545432 + 0.389536i
\(769\) 0.934238 + 0.783919i 0.0336895 + 0.0282688i 0.659477 0.751725i \(-0.270778\pi\)
−0.625787 + 0.779994i \(0.715222\pi\)
\(770\) 3.12694 + 5.29617i 0.112687 + 0.190861i
\(771\) 4.63226 2.67443i 0.166827 0.0963174i
\(772\) 6.32717 + 16.3831i 0.227720 + 0.589641i