Properties

Label 930.2.o.e.491.1
Level $930$
Weight $2$
Character 930.491
Analytic conductor $7.426$
Analytic rank $0$
Dimension $40$
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.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(20\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 491.1
Character \(\chi\) \(=\) 930.491
Dual form 930.2.o.e.161.11

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(-1.69869 + 0.338296i) q^{3} -1.00000 q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.338296 + 1.69869i) q^{6} +(-1.24695 + 2.15979i) q^{7} +1.00000i q^{8} +(2.77111 - 1.14932i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(-1.69869 + 0.338296i) q^{3} -1.00000 q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.338296 + 1.69869i) q^{6} +(-1.24695 + 2.15979i) q^{7} +1.00000i q^{8} +(2.77111 - 1.14932i) q^{9} +(0.500000 + 0.866025i) q^{10} +(0.404589 + 0.700769i) q^{11} +(1.69869 - 0.338296i) q^{12} +(3.21968 - 1.85888i) q^{13} +(2.15979 + 1.24695i) q^{14} +(1.30196 - 1.14232i) q^{15} +1.00000 q^{16} +(3.37588 - 5.84719i) q^{17} +(-1.14932 - 2.77111i) q^{18} +(-3.45706 + 5.98781i) q^{19} +(0.866025 - 0.500000i) q^{20} +(1.38754 - 4.09065i) q^{21} +(0.700769 - 0.404589i) q^{22} -2.81543 q^{23} +(-0.338296 - 1.69869i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-1.85888 - 3.21968i) q^{26} +(-4.31845 + 2.88980i) q^{27} +(1.24695 - 2.15979i) q^{28} -9.79927 q^{29} +(-1.14232 - 1.30196i) q^{30} +(-5.56019 - 0.290293i) q^{31} -1.00000i q^{32} +(-0.924340 - 1.05352i) q^{33} +(-5.84719 - 3.37588i) q^{34} -2.49391i q^{35} +(-2.77111 + 1.14932i) q^{36} +(-3.94549 - 2.27793i) q^{37} +(5.98781 + 3.45706i) q^{38} +(-4.84039 + 4.24687i) q^{39} +(-0.500000 - 0.866025i) q^{40} +(-2.77433 + 1.60176i) q^{41} +(-4.09065 - 1.38754i) q^{42} +(5.26630 + 3.04050i) q^{43} +(-0.404589 - 0.700769i) q^{44} +(-1.82519 + 2.38090i) q^{45} +2.81543i q^{46} -12.3679i q^{47} +(-1.69869 + 0.338296i) q^{48} +(0.390213 + 0.675869i) q^{49} +(-0.866025 - 0.500000i) q^{50} +(-3.75649 + 11.0746i) q^{51} +(-3.21968 + 1.85888i) q^{52} +(-4.33368 - 7.50615i) q^{53} +(2.88980 + 4.31845i) q^{54} +(-0.700769 - 0.404589i) q^{55} +(-2.15979 - 1.24695i) q^{56} +(3.84683 - 11.3410i) q^{57} +9.79927i q^{58} +(-1.80978 - 1.04488i) q^{59} +(-1.30196 + 1.14232i) q^{60} -1.93145i q^{61} +(-0.290293 + 5.56019i) q^{62} +(-0.973156 + 7.41816i) q^{63} -1.00000 q^{64} +(-1.85888 + 3.21968i) q^{65} +(-1.05352 + 0.924340i) q^{66} +(1.82612 + 3.16294i) q^{67} +(-3.37588 + 5.84719i) q^{68} +(4.78256 - 0.952451i) q^{69} -2.49391 q^{70} +(5.69119 - 3.28581i) q^{71} +(1.14932 + 2.77111i) q^{72} +(-11.0817 + 6.39801i) q^{73} +(-2.27793 + 3.94549i) q^{74} +(-0.556373 + 1.64026i) q^{75} +(3.45706 - 5.98781i) q^{76} -2.01801 q^{77} +(4.24687 + 4.84039i) q^{78} +(-4.86732 - 2.81015i) q^{79} +(-0.866025 + 0.500000i) q^{80} +(6.35812 - 6.36980i) q^{81} +(1.60176 + 2.77433i) q^{82} +(-6.60136 - 11.4339i) q^{83} +(-1.38754 + 4.09065i) q^{84} +6.75175i q^{85} +(3.04050 - 5.26630i) q^{86} +(16.6460 - 3.31506i) q^{87} +(-0.700769 + 0.404589i) q^{88} -7.63447 q^{89} +(2.38090 + 1.82519i) q^{90} +9.27175i q^{91} +2.81543 q^{92} +(9.54326 - 1.38787i) q^{93} -12.3679 q^{94} -6.91413i q^{95} +(0.338296 + 1.69869i) q^{96} +3.29345 q^{97} +(0.675869 - 0.390213i) q^{98} +(1.92657 + 1.47691i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + O(q^{10}) \) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + 20q^{10} - 6q^{12} - 12q^{13} + 40q^{16} - 12q^{18} - 12q^{19} + 12q^{21} - 24q^{22} + 20q^{25} + 12q^{28} + 8q^{31} + 52q^{33} + 24q^{34} + 2q^{36} + 60q^{37} - 8q^{39} - 20q^{40} + 12q^{42} + 24q^{43} - 12q^{45} + 6q^{48} - 4q^{49} + 14q^{51} + 12q^{52} + 24q^{55} - 12q^{57} - 40q^{64} + 8q^{66} + 64q^{67} - 26q^{69} - 24q^{70} + 12q^{72} + 6q^{75} + 12q^{76} - 68q^{78} - 48q^{79} + 2q^{81} + 4q^{82} - 12q^{84} + 36q^{87} + 24q^{88} + 2q^{90} - 22q^{93} - 40q^{94} + 8q^{97} - 90q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) −1.69869 + 0.338296i −0.980740 + 0.195315i
\(4\) −1.00000 −0.500000
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 0.338296 + 1.69869i 0.138109 + 0.693488i
\(7\) −1.24695 + 2.15979i −0.471304 + 0.816323i −0.999461 0.0328240i \(-0.989550\pi\)
0.528157 + 0.849147i \(0.322883\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 2.77111 1.14932i 0.923704 0.383107i
\(10\) 0.500000 + 0.866025i 0.158114 + 0.273861i
\(11\) 0.404589 + 0.700769i 0.121988 + 0.211290i 0.920552 0.390621i \(-0.127740\pi\)
−0.798563 + 0.601911i \(0.794406\pi\)
\(12\) 1.69869 0.338296i 0.490370 0.0976577i
\(13\) 3.21968 1.85888i 0.892978 0.515561i 0.0180623 0.999837i \(-0.494250\pi\)
0.874915 + 0.484276i \(0.160917\pi\)
\(14\) 2.15979 + 1.24695i 0.577227 + 0.333262i
\(15\) 1.30196 1.14232i 0.336165 0.294946i
\(16\) 1.00000 0.250000
\(17\) 3.37588 5.84719i 0.818770 1.41815i −0.0878187 0.996136i \(-0.527990\pi\)
0.906589 0.422015i \(-0.138677\pi\)
\(18\) −1.14932 2.77111i −0.270898 0.653157i
\(19\) −3.45706 + 5.98781i −0.793105 + 1.37370i 0.130931 + 0.991392i \(0.458203\pi\)
−0.924036 + 0.382307i \(0.875130\pi\)
\(20\) 0.866025 0.500000i 0.193649 0.111803i
\(21\) 1.38754 4.09065i 0.302787 0.892654i
\(22\) 0.700769 0.404589i 0.149404 0.0862587i
\(23\) −2.81543 −0.587059 −0.293529 0.955950i \(-0.594830\pi\)
−0.293529 + 0.955950i \(0.594830\pi\)
\(24\) −0.338296 1.69869i −0.0690544 0.346744i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −1.85888 3.21968i −0.364557 0.631431i
\(27\) −4.31845 + 2.88980i −0.831087 + 0.556143i
\(28\) 1.24695 2.15979i 0.235652 0.408161i
\(29\) −9.79927 −1.81968 −0.909840 0.414960i \(-0.863796\pi\)
−0.909840 + 0.414960i \(0.863796\pi\)
\(30\) −1.14232 1.30196i −0.208558 0.237705i
\(31\) −5.56019 0.290293i −0.998640 0.0521381i
\(32\) 1.00000i 0.176777i
\(33\) −0.924340 1.05352i −0.160907 0.183394i
\(34\) −5.84719 3.37588i −1.00278 0.578958i
\(35\) 2.49391i 0.421547i
\(36\) −2.77111 + 1.14932i −0.461852 + 0.191554i
\(37\) −3.94549 2.27793i −0.648634 0.374489i 0.139299 0.990250i \(-0.455515\pi\)
−0.787933 + 0.615761i \(0.788849\pi\)
\(38\) 5.98781 + 3.45706i 0.971351 + 0.560810i
\(39\) −4.84039 + 4.24687i −0.775082 + 0.680044i
\(40\) −0.500000 0.866025i −0.0790569 0.136931i
\(41\) −2.77433 + 1.60176i −0.433277 + 0.250153i −0.700742 0.713415i \(-0.747147\pi\)
0.267465 + 0.963568i \(0.413814\pi\)
\(42\) −4.09065 1.38754i −0.631202 0.214103i
\(43\) 5.26630 + 3.04050i 0.803103 + 0.463672i 0.844555 0.535469i \(-0.179865\pi\)
−0.0414520 + 0.999140i \(0.513198\pi\)
\(44\) −0.404589 0.700769i −0.0609941 0.105645i
\(45\) −1.82519 + 2.38090i −0.272084 + 0.354923i
\(46\) 2.81543i 0.415113i
\(47\) 12.3679i 1.80405i −0.431684 0.902025i \(-0.642080\pi\)
0.431684 0.902025i \(-0.357920\pi\)
\(48\) −1.69869 + 0.338296i −0.245185 + 0.0488289i
\(49\) 0.390213 + 0.675869i 0.0557448 + 0.0965528i
\(50\) −0.866025 0.500000i −0.122474 0.0707107i
\(51\) −3.75649 + 11.0746i −0.526014 + 1.55076i
\(52\) −3.21968 + 1.85888i −0.446489 + 0.257780i
\(53\) −4.33368 7.50615i −0.595276 1.03105i −0.993508 0.113764i \(-0.963709\pi\)
0.398232 0.917285i \(-0.369624\pi\)
\(54\) 2.88980 + 4.31845i 0.393252 + 0.587667i
\(55\) −0.700769 0.404589i −0.0944916 0.0545548i
\(56\) −2.15979 1.24695i −0.288614 0.166631i
\(57\) 3.84683 11.3410i 0.509526 1.50215i
\(58\) 9.79927i 1.28671i
\(59\) −1.80978 1.04488i −0.235613 0.136031i 0.377546 0.925991i \(-0.376768\pi\)
−0.613159 + 0.789960i \(0.710101\pi\)
\(60\) −1.30196 + 1.14232i −0.168083 + 0.147473i
\(61\) 1.93145i 0.247297i −0.992326 0.123649i \(-0.960540\pi\)
0.992326 0.123649i \(-0.0394595\pi\)
\(62\) −0.290293 + 5.56019i −0.0368672 + 0.706145i
\(63\) −0.973156 + 7.41816i −0.122606 + 0.934601i
\(64\) −1.00000 −0.125000
\(65\) −1.85888 + 3.21968i −0.230566 + 0.399352i
\(66\) −1.05352 + 0.924340i −0.129679 + 0.113778i
\(67\) 1.82612 + 3.16294i 0.223097 + 0.386415i 0.955747 0.294191i \(-0.0950501\pi\)
−0.732650 + 0.680605i \(0.761717\pi\)
\(68\) −3.37588 + 5.84719i −0.409385 + 0.709076i
\(69\) 4.78256 0.952451i 0.575752 0.114662i
\(70\) −2.49391 −0.298079
\(71\) 5.69119 3.28581i 0.675420 0.389954i −0.122707 0.992443i \(-0.539158\pi\)
0.798127 + 0.602489i \(0.205824\pi\)
\(72\) 1.14932 + 2.77111i 0.135449 + 0.326579i
\(73\) −11.0817 + 6.39801i −1.29701 + 0.748831i −0.979887 0.199553i \(-0.936051\pi\)
−0.317126 + 0.948384i \(0.602718\pi\)
\(74\) −2.27793 + 3.94549i −0.264804 + 0.458654i
\(75\) −0.556373 + 1.64026i −0.0642444 + 0.189401i
\(76\) 3.45706 5.98781i 0.396552 0.686849i
\(77\) −2.01801 −0.229974
\(78\) 4.24687 + 4.84039i 0.480864 + 0.548066i
\(79\) −4.86732 2.81015i −0.547616 0.316167i 0.200544 0.979685i \(-0.435729\pi\)
−0.748160 + 0.663518i \(0.769063\pi\)
\(80\) −0.866025 + 0.500000i −0.0968246 + 0.0559017i
\(81\) 6.35812 6.36980i 0.706457 0.707756i
\(82\) 1.60176 + 2.77433i 0.176885 + 0.306373i
\(83\) −6.60136 11.4339i −0.724594 1.25503i −0.959141 0.282929i \(-0.908694\pi\)
0.234547 0.972105i \(-0.424639\pi\)
\(84\) −1.38754 + 4.09065i −0.151393 + 0.446327i
\(85\) 6.75175i 0.732330i
\(86\) 3.04050 5.26630i 0.327865 0.567880i
\(87\) 16.6460 3.31506i 1.78463 0.355411i
\(88\) −0.700769 + 0.404589i −0.0747022 + 0.0431293i
\(89\) −7.63447 −0.809252 −0.404626 0.914482i \(-0.632598\pi\)
−0.404626 + 0.914482i \(0.632598\pi\)
\(90\) 2.38090 + 1.82519i 0.250969 + 0.192392i
\(91\) 9.27175i 0.971944i
\(92\) 2.81543 0.293529
\(93\) 9.54326 1.38787i 0.989590 0.143916i
\(94\) −12.3679 −1.27566
\(95\) 6.91413i 0.709375i
\(96\) 0.338296 + 1.69869i 0.0345272 + 0.173372i
\(97\) 3.29345 0.334399 0.167199 0.985923i \(-0.446528\pi\)
0.167199 + 0.985923i \(0.446528\pi\)
\(98\) 0.675869 0.390213i 0.0682731 0.0394175i
\(99\) 1.92657 + 1.47691i 0.193628 + 0.148435i
\(100\) −0.500000 + 0.866025i −0.0500000 + 0.0866025i
\(101\) 2.54099i 0.252838i 0.991977 + 0.126419i \(0.0403484\pi\)
−0.991977 + 0.126419i \(0.959652\pi\)
\(102\) 11.0746 + 3.75649i 1.09655 + 0.371948i
\(103\) −3.25687 5.64107i −0.320909 0.555831i 0.659767 0.751471i \(-0.270655\pi\)
−0.980676 + 0.195639i \(0.937322\pi\)
\(104\) 1.85888 + 3.21968i 0.182278 + 0.315715i
\(105\) 0.843679 + 4.23638i 0.0823347 + 0.413428i
\(106\) −7.50615 + 4.33368i −0.729061 + 0.420924i
\(107\) −1.33464 0.770553i −0.129024 0.0744921i 0.434099 0.900865i \(-0.357067\pi\)
−0.563123 + 0.826373i \(0.690400\pi\)
\(108\) 4.31845 2.88980i 0.415543 0.278071i
\(109\) −19.5290 −1.87054 −0.935271 0.353932i \(-0.884844\pi\)
−0.935271 + 0.353932i \(0.884844\pi\)
\(110\) −0.404589 + 0.700769i −0.0385760 + 0.0668157i
\(111\) 7.47278 + 2.53476i 0.709285 + 0.240588i
\(112\) −1.24695 + 2.15979i −0.117826 + 0.204081i
\(113\) −6.23706 + 3.60097i −0.586733 + 0.338750i −0.763805 0.645448i \(-0.776671\pi\)
0.177072 + 0.984198i \(0.443338\pi\)
\(114\) −11.3410 3.84683i −1.06218 0.360289i
\(115\) 2.43824 1.40772i 0.227367 0.131270i
\(116\) 9.79927 0.909840
\(117\) 6.78563 8.85161i 0.627332 0.818332i
\(118\) −1.04488 + 1.80978i −0.0961886 + 0.166604i
\(119\) 8.41912 + 14.5823i 0.771780 + 1.33676i
\(120\) 1.14232 + 1.30196i 0.104279 + 0.118852i
\(121\) 5.17262 8.95923i 0.470238 0.814476i
\(122\) −1.93145 −0.174865
\(123\) 4.17086 3.65944i 0.376074 0.329960i
\(124\) 5.56019 + 0.290293i 0.499320 + 0.0260691i
\(125\) 1.00000i 0.0894427i
\(126\) 7.41816 + 0.973156i 0.660862 + 0.0866956i
\(127\) −7.97677 4.60539i −0.707823 0.408662i 0.102431 0.994740i \(-0.467338\pi\)
−0.810255 + 0.586078i \(0.800671\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −9.97441 3.38330i −0.878198 0.297883i
\(130\) 3.21968 + 1.85888i 0.282384 + 0.163035i
\(131\) 13.9591 + 8.05927i 1.21961 + 0.704142i 0.964834 0.262859i \(-0.0846653\pi\)
0.254775 + 0.967000i \(0.417999\pi\)
\(132\) 0.924340 + 1.05352i 0.0804534 + 0.0916971i
\(133\) −8.62160 14.9330i −0.747587 1.29486i
\(134\) 3.16294 1.82612i 0.273236 0.157753i
\(135\) 2.29499 4.66187i 0.197521 0.401230i
\(136\) 5.84719 + 3.37588i 0.501392 + 0.289479i
\(137\) −3.38204 5.85786i −0.288947 0.500471i 0.684612 0.728908i \(-0.259972\pi\)
−0.973559 + 0.228437i \(0.926638\pi\)
\(138\) −0.952451 4.78256i −0.0810780 0.407118i
\(139\) 2.92120i 0.247773i −0.992296 0.123887i \(-0.960464\pi\)
0.992296 0.123887i \(-0.0395359\pi\)
\(140\) 2.49391i 0.210774i
\(141\) 4.18403 + 21.0093i 0.352359 + 1.76931i
\(142\) −3.28581 5.69119i −0.275739 0.477594i
\(143\) 2.60529 + 1.50417i 0.217865 + 0.125785i
\(144\) 2.77111 1.14932i 0.230926 0.0957769i
\(145\) 8.48642 4.89964i 0.704759 0.406893i
\(146\) 6.39801 + 11.0817i 0.529503 + 0.917126i
\(147\) −0.891496 1.01609i −0.0735294 0.0838054i
\(148\) 3.94549 + 2.27793i 0.324317 + 0.187245i
\(149\) 9.25026 + 5.34064i 0.757811 + 0.437522i 0.828509 0.559975i \(-0.189189\pi\)
−0.0706982 + 0.997498i \(0.522523\pi\)
\(150\) 1.64026 + 0.556373i 0.133927 + 0.0454277i
\(151\) 8.63402i 0.702626i −0.936258 0.351313i \(-0.885735\pi\)
0.936258 0.351313i \(-0.114265\pi\)
\(152\) −5.98781 3.45706i −0.485676 0.280405i
\(153\) 2.63462 20.0832i 0.212997 1.62363i
\(154\) 2.01801i 0.162616i
\(155\) 4.96041 2.52869i 0.398430 0.203110i
\(156\) 4.84039 4.24687i 0.387541 0.340022i
\(157\) 14.3655 1.14649 0.573245 0.819384i \(-0.305684\pi\)
0.573245 + 0.819384i \(0.305684\pi\)
\(158\) −2.81015 + 4.86732i −0.223563 + 0.387223i
\(159\) 9.90088 + 11.2846i 0.785191 + 0.894924i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 3.51072 6.08074i 0.276683 0.479229i
\(162\) −6.36980 6.35812i −0.500459 0.499541i
\(163\) −12.7393 −0.997819 −0.498909 0.866654i \(-0.666266\pi\)
−0.498909 + 0.866654i \(0.666266\pi\)
\(164\) 2.77433 1.60176i 0.216638 0.125076i
\(165\) 1.32726 + 0.450205i 0.103327 + 0.0350484i
\(166\) −11.4339 + 6.60136i −0.887443 + 0.512365i
\(167\) 8.45705 14.6480i 0.654426 1.13350i −0.327612 0.944813i \(-0.606244\pi\)
0.982037 0.188686i \(-0.0604230\pi\)
\(168\) 4.09065 + 1.38754i 0.315601 + 0.107051i
\(169\) 0.410878 0.711662i 0.0316060 0.0547433i
\(170\) 6.75175 0.517836
\(171\) −2.69799 + 20.5662i −0.206320 + 1.57273i
\(172\) −5.26630 3.04050i −0.401552 0.231836i
\(173\) −3.02710 + 1.74770i −0.230146 + 0.132875i −0.610639 0.791909i \(-0.709088\pi\)
0.380493 + 0.924784i \(0.375754\pi\)
\(174\) −3.31506 16.6460i −0.251314 1.26193i
\(175\) 1.24695 + 2.15979i 0.0942608 + 0.163265i
\(176\) 0.404589 + 0.700769i 0.0304970 + 0.0528224i
\(177\) 3.42773 + 1.16268i 0.257644 + 0.0873925i
\(178\) 7.63447i 0.572228i
\(179\) −8.22638 + 14.2485i −0.614869 + 1.06498i 0.375539 + 0.926807i \(0.377458\pi\)
−0.990408 + 0.138177i \(0.955876\pi\)
\(180\) 1.82519 2.38090i 0.136042 0.177462i
\(181\) 21.2577 12.2731i 1.58007 0.912256i 0.585226 0.810870i \(-0.301006\pi\)
0.994847 0.101386i \(-0.0323277\pi\)
\(182\) 9.27175 0.687268
\(183\) 0.653403 + 3.28094i 0.0483009 + 0.242534i
\(184\) 2.81543i 0.207557i
\(185\) 4.55586 0.334953
\(186\) −1.38787 9.54326i −0.101764 0.699746i
\(187\) 5.46337 0.399521
\(188\) 12.3679i 0.902025i
\(189\) −0.856444 12.9304i −0.0622971 0.940547i
\(190\) −6.91413 −0.501604
\(191\) −14.7094 + 8.49247i −1.06433 + 0.614493i −0.926628 0.375980i \(-0.877306\pi\)
−0.137706 + 0.990473i \(0.543973\pi\)
\(192\) 1.69869 0.338296i 0.122593 0.0244144i
\(193\) −2.03343 + 3.52201i −0.146370 + 0.253520i −0.929883 0.367855i \(-0.880092\pi\)
0.783513 + 0.621375i \(0.213426\pi\)
\(194\) 3.29345i 0.236456i
\(195\) 2.06846 6.09809i 0.148126 0.436693i
\(196\) −0.390213 0.675869i −0.0278724 0.0482764i
\(197\) 9.54331 + 16.5295i 0.679933 + 1.17768i 0.975001 + 0.222202i \(0.0713245\pi\)
−0.295068 + 0.955476i \(0.595342\pi\)
\(198\) 1.47691 1.92657i 0.104959 0.136915i
\(199\) −8.46400 + 4.88669i −0.599997 + 0.346409i −0.769041 0.639200i \(-0.779266\pi\)
0.169043 + 0.985609i \(0.445932\pi\)
\(200\) 0.866025 + 0.500000i 0.0612372 + 0.0353553i
\(201\) −4.17203 4.75509i −0.294273 0.335398i
\(202\) 2.54099 0.178784
\(203\) 12.2192 21.1643i 0.857623 1.48545i
\(204\) 3.75649 11.0746i 0.263007 0.775379i
\(205\) 1.60176 2.77433i 0.111872 0.193767i
\(206\) −5.64107 + 3.25687i −0.393032 + 0.226917i
\(207\) −7.80188 + 3.23584i −0.542268 + 0.224907i
\(208\) 3.21968 1.85888i 0.223244 0.128890i
\(209\) −5.59476 −0.386998
\(210\) 4.23638 0.843679i 0.292338 0.0582194i
\(211\) −10.1995 + 17.6661i −0.702163 + 1.21618i 0.265543 + 0.964099i \(0.414449\pi\)
−0.967706 + 0.252083i \(0.918885\pi\)
\(212\) 4.33368 + 7.50615i 0.297638 + 0.515524i
\(213\) −8.55601 + 7.50689i −0.586248 + 0.514364i
\(214\) −0.770553 + 1.33464i −0.0526739 + 0.0912339i
\(215\) −6.08100 −0.414721
\(216\) −2.88980 4.31845i −0.196626 0.293834i
\(217\) 7.56027 11.6468i 0.513225 0.790640i
\(218\) 19.5290i 1.32267i
\(219\) 16.6599 14.6171i 1.12577 0.987735i
\(220\) 0.700769 + 0.404589i 0.0472458 + 0.0272774i
\(221\) 25.1014i 1.68850i
\(222\) 2.53476 7.47278i 0.170122 0.501540i
\(223\) 17.4442 + 10.0714i 1.16815 + 0.674431i 0.953243 0.302204i \(-0.0977223\pi\)
0.214905 + 0.976635i \(0.431056\pi\)
\(224\) 2.15979 + 1.24695i 0.144307 + 0.0833156i
\(225\) 0.390213 2.97451i 0.0260142 0.198301i
\(226\) 3.60097 + 6.23706i 0.239533 + 0.414883i
\(227\) −18.9901 + 10.9640i −1.26042 + 0.727704i −0.973156 0.230148i \(-0.926079\pi\)
−0.287264 + 0.957851i \(0.592746\pi\)
\(228\) −3.84683 + 11.3410i −0.254763 + 0.751073i
\(229\) 19.5144 + 11.2666i 1.28955 + 0.744519i 0.978573 0.205900i \(-0.0660121\pi\)
0.310972 + 0.950419i \(0.399345\pi\)
\(230\) −1.40772 2.43824i −0.0928221 0.160773i
\(231\) 3.42799 0.682687i 0.225545 0.0449175i
\(232\) 9.79927i 0.643354i
\(233\) 12.3700i 0.810388i −0.914231 0.405194i \(-0.867204\pi\)
0.914231 0.405194i \(-0.132796\pi\)
\(234\) −8.85161 6.78563i −0.578648 0.443590i
\(235\) 6.18397 + 10.7110i 0.403398 + 0.698706i
\(236\) 1.80978 + 1.04488i 0.117806 + 0.0680156i
\(237\) 9.21875 + 3.12698i 0.598822 + 0.203119i
\(238\) 14.5823 8.41912i 0.945233 0.545731i
\(239\) 7.84359 + 13.5855i 0.507360 + 0.878773i 0.999964 + 0.00851907i \(0.00271174\pi\)
−0.492604 + 0.870254i \(0.663955\pi\)
\(240\) 1.30196 1.14232i 0.0840413 0.0737364i
\(241\) −16.0118 9.24439i −1.03141 0.595484i −0.114020 0.993478i \(-0.536373\pi\)
−0.917388 + 0.397995i \(0.869706\pi\)
\(242\) −8.95923 5.17262i −0.575921 0.332508i
\(243\) −8.64560 + 12.9713i −0.554616 + 0.832107i
\(244\) 1.93145i 0.123649i
\(245\) −0.675869 0.390213i −0.0431797 0.0249298i
\(246\) −3.65944 4.17086i −0.233317 0.265924i
\(247\) 25.7051i 1.63558i
\(248\) 0.290293 5.56019i 0.0184336 0.353073i
\(249\) 15.0817 + 17.1895i 0.955766 + 1.08934i
\(250\) 1.00000 0.0632456
\(251\) 9.51130 16.4741i 0.600348 1.03983i −0.392420 0.919786i \(-0.628362\pi\)
0.992768 0.120047i \(-0.0383046\pi\)
\(252\) 0.973156 7.41816i 0.0613031 0.467300i
\(253\) −1.13909 1.97297i −0.0716142 0.124039i
\(254\) −4.60539 + 7.97677i −0.288968 + 0.500507i
\(255\) −2.28409 11.4691i −0.143035 0.718226i
\(256\) 1.00000 0.0625000
\(257\) −5.42996 + 3.13499i −0.338712 + 0.195555i −0.659702 0.751527i \(-0.729318\pi\)
0.320991 + 0.947082i \(0.395984\pi\)
\(258\) −3.38330 + 9.97441i −0.210635 + 0.620980i
\(259\) 9.83968 5.68094i 0.611408 0.352997i
\(260\) 1.85888 3.21968i 0.115283 0.199676i
\(261\) −27.1549 + 11.2625i −1.68084 + 0.697133i
\(262\) 8.05927 13.9591i 0.497903 0.862394i
\(263\) 20.0171 1.23431 0.617154 0.786842i \(-0.288286\pi\)
0.617154 + 0.786842i \(0.288286\pi\)
\(264\) 1.05352 0.924340i 0.0648396 0.0568892i
\(265\) 7.50615 + 4.33368i 0.461099 + 0.266216i
\(266\) −14.9330 + 8.62160i −0.915604 + 0.528624i
\(267\) 12.9686 2.58271i 0.793666 0.158059i
\(268\) −1.82612 3.16294i −0.111548 0.193207i
\(269\) −9.59437 16.6179i −0.584979 1.01321i −0.994878 0.101082i \(-0.967769\pi\)
0.409899 0.912131i \(-0.365564\pi\)
\(270\) −4.66187 2.29499i −0.283712 0.139669i
\(271\) 28.6405i 1.73979i −0.493238 0.869895i \(-0.664187\pi\)
0.493238 0.869895i \(-0.335813\pi\)
\(272\) 3.37588 5.84719i 0.204693 0.354538i
\(273\) −3.13660 15.7499i −0.189836 0.953225i
\(274\) −5.85786 + 3.38204i −0.353886 + 0.204316i
\(275\) 0.809178 0.0487953
\(276\) −4.78256 + 0.952451i −0.287876 + 0.0573308i
\(277\) 8.82263i 0.530101i −0.964235 0.265050i \(-0.914611\pi\)
0.964235 0.265050i \(-0.0853886\pi\)
\(278\) −2.92120 −0.175202
\(279\) −15.7416 + 5.58602i −0.942422 + 0.334426i
\(280\) 2.49391 0.149039
\(281\) 19.8789i 1.18587i 0.805249 + 0.592937i \(0.202032\pi\)
−0.805249 + 0.592937i \(0.797968\pi\)
\(282\) 21.0093 4.18403i 1.25109 0.249155i
\(283\) −9.93823 −0.590766 −0.295383 0.955379i \(-0.595447\pi\)
−0.295383 + 0.955379i \(0.595447\pi\)
\(284\) −5.69119 + 3.28581i −0.337710 + 0.194977i
\(285\) 2.33902 + 11.7450i 0.138552 + 0.695712i
\(286\) 1.50417 2.60529i 0.0889432 0.154054i
\(287\) 7.98927i 0.471592i
\(288\) −1.14932 2.77111i −0.0677245 0.163289i
\(289\) −14.2931 24.7563i −0.840769 1.45625i
\(290\) −4.89964 8.48642i −0.287717 0.498340i
\(291\) −5.59455 + 1.11416i −0.327959 + 0.0653133i
\(292\) 11.0817 6.39801i 0.648506 0.374415i
\(293\) −9.24636 5.33839i −0.540178 0.311872i 0.204973 0.978768i \(-0.434289\pi\)
−0.745151 + 0.666896i \(0.767623\pi\)
\(294\) −1.01609 + 0.891496i −0.0592594 + 0.0519931i
\(295\) 2.08975 0.121670
\(296\) 2.27793 3.94549i 0.132402 0.229327i
\(297\) −3.77228 1.85706i −0.218890 0.107757i
\(298\) 5.34064 9.25026i 0.309375 0.535853i
\(299\) −9.06479 + 5.23356i −0.524230 + 0.302664i
\(300\) 0.556373 1.64026i 0.0321222 0.0947004i
\(301\) −13.1337 + 7.58272i −0.757012 + 0.437061i
\(302\) −8.63402 −0.496832
\(303\) −0.859608 4.31636i −0.0493832 0.247969i
\(304\) −3.45706 + 5.98781i −0.198276 + 0.343425i
\(305\) 0.965726 + 1.67269i 0.0552973 + 0.0957777i
\(306\) −20.0832 2.63462i −1.14808 0.150611i
\(307\) −13.6740 + 23.6841i −0.780417 + 1.35172i 0.151282 + 0.988491i \(0.451660\pi\)
−0.931699 + 0.363231i \(0.881673\pi\)
\(308\) 2.01801 0.114987
\(309\) 7.44078 + 8.48065i 0.423291 + 0.482448i
\(310\) −2.52869 4.96041i −0.143620 0.281733i
\(311\) 21.7180i 1.23151i −0.787936 0.615757i \(-0.788850\pi\)
0.787936 0.615757i \(-0.211150\pi\)
\(312\) −4.24687 4.84039i −0.240432 0.274033i
\(313\) −4.42410 2.55426i −0.250065 0.144375i 0.369729 0.929140i \(-0.379451\pi\)
−0.619794 + 0.784765i \(0.712784\pi\)
\(314\) 14.3655i 0.810691i
\(315\) −2.86630 6.91089i −0.161498 0.389385i
\(316\) 4.86732 + 2.81015i 0.273808 + 0.158083i
\(317\) 6.74277 + 3.89294i 0.378711 + 0.218649i 0.677257 0.735746i \(-0.263168\pi\)
−0.298546 + 0.954395i \(0.596502\pi\)
\(318\) 11.2846 9.90088i 0.632807 0.555214i
\(319\) −3.96468 6.86702i −0.221979 0.384480i
\(320\) 0.866025 0.500000i 0.0484123 0.0279508i
\(321\) 2.52781 + 0.857429i 0.141089 + 0.0478570i
\(322\) −6.08074 3.51072i −0.338866 0.195645i
\(323\) 23.3412 + 40.4282i 1.29874 + 2.24949i
\(324\) −6.35812 + 6.36980i −0.353229 + 0.353878i
\(325\) 3.71776i 0.206224i
\(326\) 12.7393i 0.705564i
\(327\) 33.1738 6.60660i 1.83452 0.365346i
\(328\) −1.60176 2.77433i −0.0884423 0.153187i
\(329\) 26.7121 + 15.4223i 1.47269 + 0.850256i
\(330\) 0.450205 1.32726i 0.0247830 0.0730633i
\(331\) −23.6410 + 13.6491i −1.29943 + 0.750224i −0.980305 0.197490i \(-0.936721\pi\)
−0.319121 + 0.947714i \(0.603388\pi\)
\(332\) 6.60136 + 11.4339i 0.362297 + 0.627517i
\(333\) −13.5515 1.77776i −0.742615 0.0974204i
\(334\) −14.6480 8.45705i −0.801505 0.462749i
\(335\) −3.16294 1.82612i −0.172810 0.0997718i
\(336\) 1.38754 4.09065i 0.0756967 0.223163i
\(337\) 25.5446i 1.39150i 0.718282 + 0.695752i \(0.244929\pi\)
−0.718282 + 0.695752i \(0.755071\pi\)
\(338\) −0.711662 0.410878i −0.0387093 0.0223488i
\(339\) 9.37665 8.22691i 0.509270 0.446824i
\(340\) 6.75175i 0.366165i
\(341\) −2.04616 4.01386i −0.110806 0.217363i
\(342\) 20.5662 + 2.69799i 1.11209 + 0.145890i
\(343\) −19.4037 −1.04770
\(344\) −3.04050 + 5.26630i −0.163933 + 0.283940i
\(345\) −3.66559 + 3.21613i −0.197349 + 0.173150i
\(346\) 1.74770 + 3.02710i 0.0939567 + 0.162738i
\(347\) 2.48436 4.30303i 0.133367 0.230999i −0.791605 0.611033i \(-0.790754\pi\)
0.924973 + 0.380034i \(0.124088\pi\)
\(348\) −16.6460 + 3.31506i −0.892317 + 0.177706i
\(349\) 17.2065 0.921042 0.460521 0.887649i \(-0.347663\pi\)
0.460521 + 0.887649i \(0.347663\pi\)
\(350\) 2.15979 1.24695i 0.115445 0.0666525i
\(351\) −8.53223 + 17.3317i −0.455417 + 0.925099i
\(352\) 0.700769 0.404589i 0.0373511 0.0215647i
\(353\) −3.34940 + 5.80134i −0.178271 + 0.308774i −0.941288 0.337604i \(-0.890384\pi\)
0.763018 + 0.646378i \(0.223717\pi\)
\(354\) 1.16268 3.42773i 0.0617958 0.182182i
\(355\) −3.28581 + 5.69119i −0.174393 + 0.302057i
\(356\) 7.63447 0.404626
\(357\) −19.2346 21.9228i −1.01801 1.16028i
\(358\) 14.2485 + 8.22638i 0.753057 + 0.434778i
\(359\) −29.2825 + 16.9062i −1.54547 + 0.892277i −0.546990 + 0.837139i \(0.684226\pi\)
−0.998479 + 0.0551375i \(0.982440\pi\)
\(360\) −2.38090 1.82519i −0.125484 0.0961960i
\(361\) −14.4026 24.9460i −0.758031 1.31295i
\(362\) −12.2731 21.2577i −0.645062 1.11728i
\(363\) −5.75581 + 16.9689i −0.302102 + 0.890634i
\(364\) 9.27175i 0.485972i
\(365\) 6.39801 11.0817i 0.334887 0.580042i
\(366\) 3.28094 0.653403i 0.171498 0.0341539i
\(367\) 20.9805 12.1131i 1.09517 0.632297i 0.160223 0.987081i \(-0.448779\pi\)
0.934948 + 0.354784i \(0.115445\pi\)
\(368\) −2.81543 −0.146765
\(369\) −5.84703 + 7.62724i −0.304384 + 0.397059i
\(370\) 4.55586i 0.236848i
\(371\) 21.6156 1.12222
\(372\) −9.54326 + 1.38787i −0.494795 + 0.0719579i
\(373\) 32.0372 1.65882 0.829410 0.558640i \(-0.188677\pi\)
0.829410 + 0.558640i \(0.188677\pi\)
\(374\) 5.46337i 0.282504i
\(375\) −0.338296 1.69869i −0.0174695 0.0877201i
\(376\) 12.3679 0.637828
\(377\) −31.5505 + 18.2157i −1.62493 + 0.938156i
\(378\) −12.9304 + 0.856444i −0.665067 + 0.0440507i
\(379\) 7.80196 13.5134i 0.400760 0.694137i −0.593058 0.805160i \(-0.702079\pi\)
0.993818 + 0.111023i \(0.0354128\pi\)
\(380\) 6.91413i 0.354687i
\(381\) 15.1081 + 5.12463i 0.774009 + 0.262543i
\(382\) 8.49247 + 14.7094i 0.434512 + 0.752598i
\(383\) −1.73505 3.00520i −0.0886570 0.153558i 0.818287 0.574810i \(-0.194924\pi\)
−0.906944 + 0.421252i \(0.861591\pi\)
\(384\) −0.338296 1.69869i −0.0172636 0.0866860i
\(385\) 1.74765 1.00901i 0.0890686 0.0514238i
\(386\) 3.52201 + 2.03343i 0.179266 + 0.103499i
\(387\) 18.0880 + 2.37289i 0.919466 + 0.120621i
\(388\) −3.29345 −0.167199
\(389\) −6.03620 + 10.4550i −0.306048 + 0.530090i −0.977494 0.210963i \(-0.932340\pi\)
0.671446 + 0.741053i \(0.265673\pi\)
\(390\) −6.09809 2.06846i −0.308789 0.104741i
\(391\) −9.50456 + 16.4624i −0.480666 + 0.832538i
\(392\) −0.675869 + 0.390213i −0.0341366 + 0.0197088i
\(393\) −26.4386 8.96792i −1.33365 0.452372i
\(394\) 16.5295 9.54331i 0.832744 0.480785i
\(395\) 5.62030 0.282788
\(396\) −1.92657 1.47691i −0.0968138 0.0742173i
\(397\) −0.279618 + 0.484313i −0.0140336 + 0.0243070i −0.872957 0.487797i \(-0.837801\pi\)
0.858923 + 0.512104i \(0.171134\pi\)
\(398\) 4.88669 + 8.46400i 0.244948 + 0.424262i
\(399\) 19.6972 + 22.4500i 0.986095 + 1.12391i
\(400\) 0.500000 0.866025i 0.0250000 0.0433013i
\(401\) 21.0608 1.05172 0.525862 0.850570i \(-0.323743\pi\)
0.525862 + 0.850570i \(0.323743\pi\)
\(402\) −4.75509 + 4.17203i −0.237162 + 0.208082i
\(403\) −18.4416 + 9.40109i −0.918643 + 0.468301i
\(404\) 2.54099i 0.126419i
\(405\) −2.32139 + 8.69547i −0.115351 + 0.432081i
\(406\) −21.1643 12.2192i −1.05037 0.606431i
\(407\) 3.68650i 0.182733i
\(408\) −11.0746 3.75649i −0.548275 0.185974i
\(409\) 2.71573 + 1.56793i 0.134284 + 0.0775292i 0.565637 0.824654i \(-0.308630\pi\)
−0.431353 + 0.902183i \(0.641964\pi\)
\(410\) −2.77433 1.60176i −0.137014 0.0791052i
\(411\) 7.72673 + 8.80657i 0.381132 + 0.434396i
\(412\) 3.25687 + 5.64107i 0.160455 + 0.277916i
\(413\) 4.51342 2.60582i 0.222091 0.128224i
\(414\) 3.23584 + 7.80188i 0.159033 + 0.383442i
\(415\) 11.4339 + 6.60136i 0.561268 + 0.324048i
\(416\) −1.85888 3.21968i −0.0911391 0.157858i
\(417\) 0.988231 + 4.96222i 0.0483939 + 0.243001i
\(418\) 5.59476i 0.273649i
\(419\) 23.5226i 1.14915i 0.818451 + 0.574577i \(0.194833\pi\)
−0.818451 + 0.574577i \(0.805167\pi\)
\(420\) −0.843679 4.23638i −0.0411673 0.206714i
\(421\) 1.03198 + 1.78744i 0.0502956 + 0.0871146i 0.890077 0.455810i \(-0.150650\pi\)
−0.839782 + 0.542924i \(0.817317\pi\)
\(422\) 17.6661 + 10.1995i 0.859970 + 0.496504i
\(423\) −14.2148 34.2730i −0.691145 1.66641i
\(424\) 7.50615 4.33368i 0.364531 0.210462i
\(425\) −3.37588 5.84719i −0.163754 0.283630i
\(426\) 7.50689 + 8.55601i 0.363710 + 0.414540i
\(427\) 4.17152 + 2.40843i 0.201874 + 0.116552i
\(428\) 1.33464 + 0.770553i 0.0645121 + 0.0372461i
\(429\) −4.93444 1.67375i −0.238237 0.0808096i
\(430\) 6.08100i 0.293252i
\(431\) −18.5818 10.7282i −0.895055 0.516760i −0.0194621 0.999811i \(-0.506195\pi\)
−0.875592 + 0.483051i \(0.839529\pi\)
\(432\) −4.31845 + 2.88980i −0.207772 + 0.139036i
\(433\) 19.3965i 0.932135i 0.884749 + 0.466067i \(0.154330\pi\)
−0.884749 + 0.466067i \(0.845670\pi\)
\(434\) −11.6468 7.56027i −0.559067 0.362905i
\(435\) −12.7583 + 11.1939i −0.611713 + 0.536706i
\(436\) 19.5290 0.935271
\(437\) 9.73314 16.8583i 0.465599 0.806441i
\(438\) −14.6171 16.6599i −0.698434 0.796043i
\(439\) 6.34860 + 10.9961i 0.303002 + 0.524815i 0.976815 0.214087i \(-0.0686777\pi\)
−0.673812 + 0.738903i \(0.735344\pi\)
\(440\) 0.404589 0.700769i 0.0192880 0.0334078i
\(441\) 1.85812 + 1.42443i 0.0884817 + 0.0678299i
\(442\) −25.1014 −1.19395
\(443\) −13.0921 + 7.55872i −0.622024 + 0.359126i −0.777657 0.628689i \(-0.783592\pi\)
0.155633 + 0.987815i \(0.450258\pi\)
\(444\) −7.47278 2.53476i −0.354643 0.120294i
\(445\) 6.61164 3.81723i 0.313422 0.180954i
\(446\) 10.0714 17.4442i 0.476895 0.826006i
\(447\) −17.5201 5.94278i −0.828671 0.281084i
\(448\) 1.24695 2.15979i 0.0589130 0.102040i
\(449\) 15.6070 0.736538 0.368269 0.929719i \(-0.379951\pi\)
0.368269 + 0.929719i \(0.379951\pi\)
\(450\) −2.97451 0.390213i −0.140220 0.0183948i
\(451\) −2.24492 1.29611i −0.105709 0.0610313i
\(452\) 6.23706 3.60097i 0.293366 0.169375i
\(453\) 2.92086 + 14.6665i 0.137234 + 0.689094i
\(454\) 10.9640 + 18.9901i 0.514564 + 0.891251i
\(455\) −4.63588 8.02957i −0.217333 0.376432i
\(456\) 11.3410 + 3.84683i 0.531089 + 0.180145i
\(457\) 7.87077i 0.368179i 0.982909 + 0.184089i \(0.0589336\pi\)
−0.982909 + 0.184089i \(0.941066\pi\)
\(458\) 11.2666 19.5144i 0.526455 0.911846i
\(459\) 2.31865 + 35.0064i 0.108225 + 1.63396i
\(460\) −2.43824 + 1.40772i −0.113683 + 0.0656352i
\(461\) −5.49791 −0.256063 −0.128032 0.991770i \(-0.540866\pi\)
−0.128032 + 0.991770i \(0.540866\pi\)
\(462\) −0.682687 3.42799i −0.0317615 0.159484i
\(463\) 25.9653i 1.20671i 0.797473 + 0.603354i \(0.206170\pi\)
−0.797473 + 0.603354i \(0.793830\pi\)
\(464\) −9.79927 −0.454920
\(465\) −7.57077 + 5.97356i −0.351086 + 0.277017i
\(466\) −12.3700 −0.573031
\(467\) 8.76334i 0.405519i −0.979229 0.202760i \(-0.935009\pi\)
0.979229 0.202760i \(-0.0649910\pi\)
\(468\) −6.78563 + 8.85161i −0.313666 + 0.409166i
\(469\) −9.10837 −0.420585
\(470\) 10.7110 6.18397i 0.494059 0.285245i
\(471\) −24.4025 + 4.85979i −1.12441 + 0.223927i
\(472\) 1.04488 1.80978i 0.0480943 0.0833018i
\(473\) 4.92061i 0.226250i
\(474\) 3.12698 9.21875i 0.143627 0.423431i
\(475\) 3.45706 + 5.98781i 0.158621 + 0.274740i
\(476\) −8.41912 14.5823i −0.385890 0.668381i
\(477\) −20.6361 15.8196i −0.944861 0.724329i
\(478\) 13.5855 7.84359i 0.621386 0.358757i
\(479\) −2.30224 1.32920i −0.105192 0.0607327i 0.446481 0.894793i \(-0.352677\pi\)
−0.551673 + 0.834060i \(0.686010\pi\)
\(480\) −1.14232 1.30196i −0.0521395 0.0594262i
\(481\) −16.9376 −0.772288
\(482\) −9.24439 + 16.0118i −0.421071 + 0.729316i
\(483\) −3.90654 + 11.5170i −0.177754 + 0.524040i
\(484\) −5.17262 + 8.95923i −0.235119 + 0.407238i
\(485\) −2.85221 + 1.64672i −0.129512 + 0.0747739i
\(486\) 12.9713 + 8.64560i 0.588388 + 0.392173i
\(487\) 13.2743 7.66391i 0.601515 0.347285i −0.168122 0.985766i \(-0.553770\pi\)
0.769637 + 0.638481i \(0.220437\pi\)
\(488\) 1.93145 0.0874327
\(489\) 21.6401 4.30966i 0.978601 0.194889i
\(490\) −0.390213 + 0.675869i −0.0176280 + 0.0305327i
\(491\) 4.78641 + 8.29031i 0.216008 + 0.374136i 0.953584 0.301128i \(-0.0973630\pi\)
−0.737576 + 0.675264i \(0.764030\pi\)
\(492\) −4.17086 + 3.65944i −0.188037 + 0.164980i
\(493\) −33.0811 + 57.2982i −1.48990 + 2.58058i
\(494\) 25.7051 1.15653
\(495\) −2.40691 0.315752i −0.108183 0.0141920i
\(496\) −5.56019 0.290293i −0.249660 0.0130345i
\(497\) 16.3890i 0.735148i
\(498\) 17.1895 15.0817i 0.770278 0.675829i
\(499\) 13.4829 + 7.78437i 0.603578 + 0.348476i 0.770448 0.637503i \(-0.220033\pi\)
−0.166870 + 0.985979i \(0.553366\pi\)
\(500\) 1.00000i 0.0447214i
\(501\) −9.41055 + 27.7435i −0.420432 + 1.23949i
\(502\) −16.4741 9.51130i −0.735273 0.424510i
\(503\) 2.15434 + 1.24381i 0.0960572 + 0.0554587i 0.547259 0.836963i \(-0.315671\pi\)
−0.451202 + 0.892422i \(0.649005\pi\)
\(504\) −7.41816 0.973156i −0.330431 0.0433478i
\(505\) −1.27050 2.20056i −0.0565363 0.0979238i
\(506\) −1.97297 + 1.13909i −0.0877091 + 0.0506389i
\(507\) −0.457203 + 1.34789i −0.0203051 + 0.0598621i
\(508\) 7.97677 + 4.60539i 0.353912 + 0.204331i
\(509\) −1.88074 3.25754i −0.0833624 0.144388i 0.821330 0.570454i \(-0.193233\pi\)
−0.904692 + 0.426066i \(0.859899\pi\)
\(510\) −11.4691 + 2.28409i −0.507862 + 0.101141i
\(511\) 31.9121i 1.41171i
\(512\) 1.00000i 0.0441942i
\(513\) −2.37441 35.8483i −0.104833 1.58274i
\(514\) 3.13499 + 5.42996i 0.138278 + 0.239505i
\(515\) 5.64107 + 3.25687i 0.248575 + 0.143515i
\(516\) 9.97441 + 3.38330i 0.439099 + 0.148942i
\(517\) 8.66707 5.00393i 0.381177 0.220073i
\(518\) −5.68094 9.83968i −0.249606 0.432331i
\(519\) 4.55087 3.99285i 0.199761 0.175267i
\(520\) −3.21968 1.85888i −0.141192 0.0815173i
\(521\) −22.4231 12.9460i −0.982373 0.567173i −0.0793869 0.996844i \(-0.525296\pi\)
−0.902986 + 0.429671i \(0.858630\pi\)
\(522\) 11.2625 + 27.1549i 0.492947 + 1.18854i
\(523\) 36.8783i 1.61258i −0.591524 0.806288i \(-0.701473\pi\)
0.591524 0.806288i \(-0.298527\pi\)
\(524\) −13.9591 8.05927i −0.609805 0.352071i
\(525\) −2.84884 3.24697i −0.124333 0.141710i
\(526\) 20.0171i 0.872788i
\(527\) −20.4679 + 31.5315i −0.891596 + 1.37353i
\(528\) −0.924340 1.05352i −0.0402267 0.0458486i
\(529\) −15.0733 −0.655362
\(530\) 4.33368 7.50615i 0.188243 0.326046i
\(531\) −6.21599 0.815449i −0.269751 0.0353875i
\(532\) 8.62160 + 14.9330i 0.373794 + 0.647430i
\(533\) −5.95496 + 10.3143i −0.257938 + 0.446761i
\(534\) −2.58271 12.9686i −0.111765 0.561207i
\(535\) 1.54111 0.0666278
\(536\) −3.16294 + 1.82612i −0.136618 + 0.0788765i
\(537\) 9.15388 26.9868i 0.395019 1.16457i
\(538\) −16.6179 + 9.59437i −0.716450 + 0.413643i
\(539\) −0.315752 + 0.546899i −0.0136004 + 0.0235566i
\(540\) −2.29499 + 4.66187i −0.0987607 + 0.200615i
\(541\) −12.5610 + 21.7562i −0.540038 + 0.935374i 0.458863 + 0.888507i \(0.348257\pi\)
−0.998901 + 0.0468666i \(0.985076\pi\)
\(542\) −28.6405 −1.23022
\(543\) −31.9584 + 28.0397i −1.37146 + 1.20330i
\(544\) −5.84719 3.37588i −0.250696 0.144739i
\(545\) 16.9126 9.76452i 0.724458 0.418266i
\(546\) −15.7499 + 3.13660i −0.674032 + 0.134234i
\(547\) −5.35576 9.27645i −0.228996 0.396633i 0.728515 0.685030i \(-0.240211\pi\)
−0.957511 + 0.288397i \(0.906878\pi\)
\(548\) 3.38204 + 5.85786i 0.144474 + 0.250235i
\(549\) −2.21986 5.35227i −0.0947413 0.228429i
\(550\) 0.809178i 0.0345035i
\(551\) 33.8767 58.6762i 1.44320 2.49969i
\(552\) 0.952451 + 4.78256i 0.0405390 + 0.203559i
\(553\) 12.1386 7.00825i 0.516188 0.298021i
\(554\) −8.82263 −0.374838
\(555\) −7.73900 + 1.54123i −0.328502 + 0.0654215i
\(556\) 2.92120i 0.123887i
\(557\) 13.7761 0.583714 0.291857 0.956462i \(-0.405727\pi\)
0.291857 + 0.956462i \(0.405727\pi\)
\(558\) 5.58602 + 15.7416i 0.236475 + 0.666393i
\(559\) 22.6077 0.956204
\(560\) 2.49391i 0.105387i
\(561\) −9.28058 + 1.84824i −0.391827 + 0.0780326i
\(562\) 19.8789 0.838540
\(563\) −13.3968 + 7.73462i −0.564606 + 0.325976i −0.754992 0.655734i \(-0.772359\pi\)
0.190386 + 0.981709i \(0.439026\pi\)
\(564\) −4.18403 21.0093i −0.176179 0.884653i
\(565\) 3.60097 6.23706i 0.151494 0.262395i
\(566\) 9.93823i 0.417735i
\(567\) 5.82914 + 21.6750i 0.244801 + 0.910265i
\(568\) 3.28581 + 5.69119i 0.137870 + 0.238797i
\(569\) −20.6937 35.8426i −0.867526 1.50260i −0.864517 0.502604i \(-0.832375\pi\)
−0.00300954 0.999995i \(-0.500958\pi\)
\(570\) 11.7450 2.33902i 0.491943 0.0979709i
\(571\) −12.9537 + 7.47880i −0.542094 + 0.312978i −0.745927 0.666027i \(-0.767993\pi\)
0.203833 + 0.979006i \(0.434660\pi\)
\(572\) −2.60529 1.50417i −0.108933 0.0628923i
\(573\) 22.1137 19.4022i 0.923815 0.810539i
\(574\) −7.98927 −0.333466
\(575\) −1.40772 + 2.43824i −0.0587059 + 0.101682i
\(576\) −2.77111 + 1.14932i −0.115463 + 0.0478884i
\(577\) 11.1680 19.3435i 0.464929 0.805281i −0.534269 0.845314i \(-0.679413\pi\)
0.999198 + 0.0400337i \(0.0127465\pi\)
\(578\) −24.7563 + 14.2931i −1.02973 + 0.594514i
\(579\) 2.26269 6.67071i 0.0940344 0.277225i
\(580\) −8.48642 + 4.89964i −0.352379 + 0.203446i
\(581\) 32.9264 1.36602
\(582\) 1.11416 + 5.59455i 0.0461835 + 0.231902i
\(583\) 3.50672 6.07381i 0.145233 0.251551i
\(584\) −6.39801 11.0817i −0.264752 0.458563i
\(585\) −1.45072 + 11.0585i −0.0599799 + 0.457214i
\(586\) −5.33839 + 9.24636i −0.220527 + 0.381964i
\(587\) −27.0794 −1.11769 −0.558844 0.829273i \(-0.688755\pi\)
−0.558844 + 0.829273i \(0.688755\pi\)
\(588\) 0.891496 + 1.01609i 0.0367647 + 0.0419027i
\(589\) 20.9602 32.2898i 0.863648 1.33048i
\(590\) 2.08975i 0.0860337i
\(591\) −21.8030 24.8501i −0.896857 1.02220i
\(592\) −3.94549 2.27793i −0.162159 0.0936223i
\(593\) 22.2163i 0.912314i −0.889899 0.456157i \(-0.849226\pi\)
0.889899 0.456157i \(-0.150774\pi\)
\(594\) −1.85706 + 3.77228i −0.0761959 + 0.154779i
\(595\) −14.5823 8.41912i −0.597818 0.345150i
\(596\) −9.25026 5.34064i −0.378906 0.218761i
\(597\) 12.7246 11.1643i 0.520783 0.456926i
\(598\) 5.23356 + 9.06479i 0.214016 + 0.370687i
\(599\) 5.90993 3.41210i 0.241473 0.139415i −0.374381 0.927275i \(-0.622145\pi\)
0.615854 + 0.787861i \(0.288811\pi\)
\(600\) −1.64026 0.556373i −0.0669633 0.0227138i
\(601\) 40.0780 + 23.1390i 1.63482 + 0.943861i 0.982579 + 0.185845i \(0.0595023\pi\)
0.652236 + 0.758016i \(0.273831\pi\)
\(602\) 7.58272 + 13.1337i 0.309049 + 0.535288i
\(603\) 8.69563 + 6.66605i 0.354113 + 0.271463i
\(604\) 8.63402i 0.351313i
\(605\) 10.3452i 0.420593i
\(606\) −4.31636 + 0.859608i −0.175340 + 0.0349192i
\(607\) −3.26505 5.65523i −0.132524 0.229539i 0.792125 0.610359i \(-0.208975\pi\)
−0.924649 + 0.380821i \(0.875642\pi\)
\(608\) 5.98781 + 3.45706i 0.242838 + 0.140202i
\(609\) −13.5969 + 40.0854i −0.550975 + 1.62434i
\(610\) 1.67269 0.965726i 0.0677251 0.0391011i
\(611\) −22.9905 39.8208i −0.930098 1.61098i
\(612\) −2.63462 + 20.0832i −0.106498 + 0.811814i
\(613\) 0.515169 + 0.297433i 0.0208075 + 0.0120132i 0.510368 0.859956i \(-0.329509\pi\)
−0.489560 + 0.871970i \(0.662843\pi\)
\(614\) 23.6841 + 13.6740i 0.955812 + 0.551838i
\(615\) −1.78235 + 5.25460i −0.0718713 + 0.211886i
\(616\) 2.01801i 0.0813081i
\(617\) −10.1336 5.85065i −0.407964 0.235538i 0.281950 0.959429i \(-0.409019\pi\)
−0.689915 + 0.723891i \(0.742352\pi\)
\(618\) 8.48065 7.44078i 0.341142 0.299312i
\(619\) 21.4392i 0.861712i 0.902421 + 0.430856i \(0.141788\pi\)
−0.902421 + 0.430856i \(0.858212\pi\)
\(620\) −4.96041 + 2.52869i −0.199215 + 0.101555i
\(621\) 12.1583 8.13605i 0.487897 0.326488i
\(622\) −21.7180 −0.870811
\(623\) 9.51983 16.4888i 0.381404 0.660611i
\(624\) −4.84039 + 4.24687i −0.193771 + 0.170011i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −2.55426 + 4.42410i −0.102089 + 0.176823i
\(627\) 9.50378 1.89269i 0.379544 0.0755866i
\(628\) −14.3655 −0.573245
\(629\) −26.6390 + 15.3800i −1.06216 + 0.613241i
\(630\) −6.91089 + 2.86630i −0.275337 + 0.114196i
\(631\) −3.87266 + 2.23588i −0.154168 + 0.0890091i −0.575100 0.818083i \(-0.695037\pi\)
0.420931 + 0.907093i \(0.361703\pi\)
\(632\) 2.81015 4.86732i 0.111782 0.193612i
\(633\) 11.3495 33.4597i 0.451101 1.32990i
\(634\) 3.89294 6.74277i 0.154608 0.267789i
\(635\) 9.21078 0.365518
\(636\) −9.90088 11.2846i −0.392596 0.447462i
\(637\) 2.51272 + 1.45072i 0.0995577 + 0.0574796i
\(638\) −6.86702 + 3.96468i −0.271868 + 0.156963i
\(639\) 11.9945 15.6464i 0.474494 0.618961i
\(640\) −0.500000 0.866025i −0.0197642 0.0342327i
\(641\) −4.13241 7.15755i −0.163221 0.282706i 0.772801 0.634648i \(-0.218855\pi\)
−0.936022 + 0.351942i \(0.885522\pi\)
\(642\) 0.857429 2.52781i 0.0338400 0.0997648i
\(643\) 28.5474i 1.12580i −0.826525 0.562901i \(-0.809685\pi\)
0.826525 0.562901i \(-0.190315\pi\)
\(644\) −3.51072 + 6.08074i −0.138342 + 0.239615i
\(645\) 10.3297 2.05718i 0.406733 0.0810013i
\(646\) 40.4282 23.3412i 1.59063 0.918349i
\(647\) −13.2500 −0.520910 −0.260455 0.965486i \(-0.583873\pi\)
−0.260455 + 0.965486i \(0.583873\pi\)
\(648\) 6.36980 + 6.35812i 0.250229 + 0.249770i
\(649\) 1.69098i 0.0663768i
\(650\) −3.71776 −0.145823
\(651\) −8.90249 + 22.3420i −0.348916 + 0.875653i
\(652\) 12.7393 0.498909
\(653\) 12.9745i 0.507731i 0.967239 + 0.253866i \(0.0817021\pi\)
−0.967239 + 0.253866i \(0.918298\pi\)
\(654\) −6.60660 33.1738i −0.258338 1.29720i
\(655\) −16.1185 −0.629803
\(656\) −2.77433 + 1.60176i −0.108319 + 0.0625381i
\(657\) −23.3552 + 30.4660i −0.911173 + 1.18859i
\(658\) 15.4223 26.7121i 0.601222 1.04135i
\(659\) 40.7903i 1.58896i 0.607287 + 0.794482i \(0.292258\pi\)
−0.607287 + 0.794482i \(0.707742\pi\)
\(660\) −1.32726 0.450205i −0.0516636 0.0175242i
\(661\) 17.1606 + 29.7231i 0.667471 + 1.15609i 0.978609 + 0.205730i \(0.0659567\pi\)
−0.311137 + 0.950365i \(0.600710\pi\)
\(662\) 13.6491 + 23.6410i 0.530488 + 0.918833i
\(663\) 8.49171 + 42.6396i 0.329791 + 1.65598i
\(664\) 11.4339 6.60136i 0.443721 0.256183i
\(665\) 14.9330 + 8.62160i 0.579079 + 0.334331i
\(666\) −1.77776 + 13.5515i −0.0688866 + 0.525108i
\(667\) 27.5892 1.06826
\(668\) −8.45705 + 14.6480i −0.327213 + 0.566749i
\(669\) −33.0394 11.2069i −1.27738 0.433284i
\(670\) −1.82612 + 3.16294i −0.0705493 + 0.122195i
\(671\) 1.35350 0.781444i 0.0522513 0.0301673i
\(672\) −4.09065 1.38754i −0.157800 0.0535256i
\(673\) 18.3493 10.5940i 0.707312 0.408367i −0.102753 0.994707i \(-0.532765\pi\)
0.810065 + 0.586340i \(0.199432\pi\)
\(674\) 25.5446 0.983942
\(675\) 0.343414 + 5.18479i 0.0132180 + 0.199563i
\(676\) −0.410878 + 0.711662i −0.0158030 + 0.0273716i
\(677\) 7.38824 + 12.7968i 0.283953 + 0.491821i 0.972355 0.233509i \(-0.0750207\pi\)
−0.688402 + 0.725330i \(0.741687\pi\)
\(678\) −8.22691 9.37665i −0.315952 0.360108i
\(679\) −4.10678 + 7.11315i −0.157604 + 0.272977i
\(680\) −6.75175 −0.258918
\(681\) 28.5493 25.0487i 1.09401 0.959868i
\(682\) −4.01386 + 2.04616i −0.153699 + 0.0783517i
\(683\) 23.7982i 0.910615i −0.890334 0.455307i \(-0.849529\pi\)
0.890334 0.455307i \(-0.150471\pi\)
\(684\) 2.69799 20.5662i 0.103160 0.786367i
\(685\) 5.85786 + 3.38204i 0.223817 + 0.129221i
\(686\) 19.4037i 0.740835i
\(687\) −36.9603 12.5369i −1.41013 0.478312i
\(688\) 5.26630 + 3.04050i 0.200776 + 0.115918i
\(689\) −27.9061 16.1116i −1.06314 0.613802i
\(690\) 3.21613 + 3.66559i 0.122436 + 0.139547i
\(691\) −2.97015 5.14446i −0.112990 0.195704i 0.803984 0.594650i \(-0.202709\pi\)
−0.916974 + 0.398946i \(0.869376\pi\)
\(692\) 3.02710 1.74770i 0.115073 0.0664374i
\(693\) −5.59214 + 2.31935i −0.212428 + 0.0881048i
\(694\) −4.30303 2.48436i −0.163341 0.0943048i
\(695\) 1.46060 + 2.52983i 0.0554037 + 0.0959621i
\(696\) 3.31506 + 16.6460i 0.125657 + 0.630963i
\(697\) 21.6293i 0.819270i
\(698\) 17.2065i 0.651275i
\(699\) 4.18474 + 21.0129i 0.158281 + 0.794781i
\(700\) −1.24695 2.15979i −0.0471304 0.0816323i
\(701\) 6.52698 + 3.76835i 0.246521 + 0.142329i 0.618170 0.786044i \(-0.287874\pi\)
−0.371649 + 0.928373i \(0.621208\pi\)
\(702\) 17.3317 + 8.53223i 0.654144 + 0.322028i
\(703\) 27.2796 15.7499i 1.02887 0.594018i
\(704\) −0.404589 0.700769i −0.0152485 0.0264112i
\(705\) −14.1281 16.1026i −0.532097 0.606459i
\(706\) 5.80134 + 3.34940i 0.218336 + 0.126056i
\(707\) −5.48800 3.16850i −0.206398 0.119164i
\(708\) −3.42773 1.16268i −0.128822 0.0436962i
\(709\) 33.4552i 1.25644i 0.778036 + 0.628219i \(0.216216\pi\)
−0.778036 + 0.628219i \(0.783784\pi\)
\(710\) 5.69119 + 3.28581i 0.213587 + 0.123314i
\(711\) −16.7177 2.19312i −0.626961 0.0822483i
\(712\) 7.63447i 0.286114i
\(713\) 15.6544 + 0.817300i 0.586260 + 0.0306081i
\(714\) −21.9228 + 19.2346i −0.820439 + 0.719839i
\(715\) −3.00833 −0.112505
\(716\) 8.22638 14.2485i 0.307434 0.532492i
\(717\) −17.9198 20.4241i −0.669226 0.762753i
\(718\) 16.9062 + 29.2825i 0.630935 + 1.09281i
\(719\) 14.7184 25.4930i 0.548904 0.950729i −0.449446 0.893307i \(-0.648379\pi\)
0.998350 0.0574219i \(-0.0182880\pi\)
\(720\) −1.82519 + 2.38090i −0.0680209 + 0.0887308i
\(721\) 16.2447 0.604984
\(722\) −24.9460 + 14.4026i −0.928394 + 0.536009i
\(723\) 30.3264 + 10.2867i 1.12785 + 0.382565i
\(724\) −21.2577 + 12.2731i −0.790037 + 0.456128i
\(725\) −4.89964 + 8.48642i −0.181968 + 0.315178i
\(726\) 16.9689 + 5.75581i 0.629773 + 0.213618i
\(727\) 17.5950 30.4754i 0.652562 1.13027i −0.329938 0.944003i \(-0.607028\pi\)
0.982499 0.186267i \(-0.0596390\pi\)
\(728\) −9.27175 −0.343634
\(729\) 10.2981 24.9590i 0.381411 0.924406i
\(730\) −11.0817 6.39801i −0.410151 0.236801i
\(731\) 35.5567 20.5287i 1.31511 0.759281i
\(732\) −0.653403 3.28094i −0.0241505 0.121267i
\(733\) −18.3462 31.7765i −0.677631 1.17369i −0.975692 0.219145i \(-0.929673\pi\)
0.298061 0.954547i \(-0.403660\pi\)
\(734\) −12.1131 20.9805i −0.447102 0.774403i
\(735\) 1.28010 + 0.434208i 0.0472173 + 0.0160160i
\(736\) 2.81543i 0.103778i
\(737\) −1.47766 + 2.55938i −0.0544303 + 0.0942760i
\(738\) 7.62724 + 5.84703i 0.280763 + 0.215232i
\(739\) −9.90837 + 5.72060i −0.364485 + 0.210436i −0.671047 0.741415i \(-0.734155\pi\)
0.306561 + 0.951851i \(0.400822\pi\)
\(740\) −4.55586 −0.167477
\(741\) −8.69593 43.6650i −0.319453 1.60408i
\(742\) 21.6156i 0.793533i
\(743\) −36.0723 −1.32337 −0.661683 0.749784i \(-0.730157\pi\)
−0.661683 + 0.749784i \(0.730157\pi\)
\(744\) 1.38787 + 9.54326i 0.0508819 + 0.349873i
\(745\) −10.6813 −0.391332
\(746\) 32.0372i 1.17296i
\(747\) −31.4343 24.0975i −1.15012 0.881682i
\(748\) −5.46337 −0.199761
\(749\) 3.32846 1.92169i 0.121619 0.0702169i
\(750\) −1.69869 + 0.338296i −0.0620275 + 0.0123528i
\(751\) 16.3290 28.2827i 0.595854 1.03205i −0.397572 0.917571i \(-0.630147\pi\)
0.993426 0.114478i \(-0.0365196\pi\)
\(752\) 12.3679i 0.451013i
\(753\) −10.5837 + 31.2020i −0.385690 + 1.13706i
\(754\) 18.2157 + 31.5505i 0.663376 + 1.14900i
\(755\) 4.31701 + 7.47728i 0.157112 + 0.272126i
\(756\) 0.856444 + 12.9304i 0.0311486 + 0.470274i
\(757\) −32.7695 + 18.9195i −1.19103 + 0.687639i −0.958539 0.284960i \(-0.908020\pi\)
−0.232487 + 0.972600i \(0.574686\pi\)
\(758\) −13.5134 7.80196i −0.490829 0.283380i
\(759\) 2.60242 + 2.96612i 0.0944618 + 0.107663i
\(760\) 6.91413 0.250802
\(761\) −6.19120 + 10.7235i −0.224431 + 0.388726i −0.956149 0.292882i \(-0.905386\pi\)
0.731718 + 0.681608i \(0.238719\pi\)
\(762\) 5.12463 15.1081i 0.185646 0.547307i
\(763\) 24.3518 42.1785i 0.881594 1.52697i
\(764\) 14.7094 8.49247i 0.532167 0.307247i
\(765\) 7.75994 + 18.7099i 0.280561 + 0.676456i
\(766\) −3.00520 + 1.73505i −0.108582 + 0.0626900i
\(767\) −7.76920 −0.280530
\(768\) −1.69869 + 0.338296i −0.0612963 + 0.0122072i
\(769\) 18.8200 32.5972i 0.678666 1.17548i −0.296717 0.954965i \(-0.595892\pi\)
0.975383 0.220518i \(-0.0707749\pi\)
\(770\) −1.00901 1.74765i −0.0363621 0.0629810i
\(771\) 8.16327 7.16231i 0.293993 0.257944i
\(772\) 2.03343 3.52201i 0.0731848 0.126760i
\(773\) −40.3903 −1.45274 −0.726368 0.687306i \(-0.758793\pi\)
−0.726368 + 0.687306i \(0.758793\pi\)
\(774\) 2.37289 18.0880i 0.0852917 0.650160i
\(775\) −3.03150 + 4.67012i −0.108895 + 0.167756i