Properties

Label 930.2.o.e.161.11
Level $930$
Weight $2$
Character 930.161
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 161.11
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.1

$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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 0.528157 0.849147i \(-0.322883\pi\)
−0.999461 + 0.0328240i \(0.989550\pi\)
\(8\) 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 −0.798563 0.601911i \(-0.794406\pi\)
0.920552 + 0.390621i \(0.127740\pi\)
\(12\) 1.69869 + 0.338296i 0.490370 + 0.0976577i
\(13\) 3.21968 + 1.85888i 0.892978 + 0.515561i 0.874915 0.484276i \(-0.160917\pi\)
0.0180623 + 0.999837i \(0.494250\pi\)
\(14\) 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 0.906589 + 0.422015i \(0.138677\pi\)
−0.0878187 + 0.996136i \(0.527990\pi\)
\(18\) −1.14932 + 2.77111i −0.270898 + 0.653157i
\(19\) −3.45706 5.98781i −0.793105 1.37370i −0.924036 0.382307i \(-0.875130\pi\)
0.130931 0.991392i \(-0.458203\pi\)
\(20\) 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 −0.787933 0.615761i \(-0.788849\pi\)
0.139299 + 0.990250i \(0.455515\pi\)
\(38\) 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 0.267465 0.963568i \(-0.413814\pi\)
−0.700742 + 0.713415i \(0.747147\pi\)
\(42\) −4.09065 + 1.38754i −0.631202 + 0.214103i
\(43\) 5.26630 3.04050i 0.803103 0.463672i −0.0414520 0.999140i \(-0.513198\pi\)
0.844555 + 0.535469i \(0.179865\pi\)
\(44\) −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 \(0.357920\pi\)
−0.431684 + 0.902025i \(0.642080\pi\)
\(48\) −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 0.398232 + 0.917285i \(0.369624\pi\)
−0.993508 + 0.113764i \(0.963709\pi\)
\(54\) 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 −0.613159 0.789960i \(-0.710101\pi\)
0.377546 + 0.925991i \(0.376768\pi\)
\(60\) −1.30196 1.14232i −0.168083 0.147473i
\(61\) 1.93145i 0.247297i 0.992326 + 0.123649i \(0.0394595\pi\)
−0.992326 + 0.123649i \(0.960540\pi\)
\(62\) −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 −0.732650 0.680605i \(-0.761717\pi\)
0.955747 + 0.294191i \(0.0950501\pi\)
\(68\) −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 0.798127 0.602489i \(-0.205824\pi\)
−0.122707 + 0.992443i \(0.539158\pi\)
\(72\) 1.14932 2.77111i 0.135449 0.326579i
\(73\) −11.0817 6.39801i −1.29701 0.748831i −0.317126 0.948384i \(-0.602718\pi\)
−0.979887 + 0.199553i \(0.936051\pi\)
\(74\) −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 −0.748160 0.663518i \(-0.769063\pi\)
0.200544 + 0.979685i \(0.435729\pi\)
\(80\) −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 0.234547 + 0.972105i \(0.424639\pi\)
−0.959141 + 0.282929i \(0.908694\pi\)
\(84\) −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 \(-0.959652\pi\)
0.991977 0.126419i \(-0.0403484\pi\)
\(102\) 11.0746 3.75649i 1.09655 0.371948i
\(103\) −3.25687 + 5.64107i −0.320909 + 0.555831i −0.980676 0.195639i \(-0.937322\pi\)
0.659767 + 0.751471i \(0.270655\pi\)
\(104\) 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 −0.563123 0.826373i \(-0.690400\pi\)
0.434099 + 0.900865i \(0.357067\pi\)
\(108\) 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 0.177072 0.984198i \(-0.443338\pi\)
−0.763805 + 0.645448i \(0.776671\pi\)
\(114\) −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 −0.810255 0.586078i \(-0.800671\pi\)
0.102431 + 0.994740i \(0.467338\pi\)
\(128\) 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 0.254775 0.967000i \(-0.417999\pi\)
0.964834 + 0.262859i \(0.0846653\pi\)
\(132\) 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 −0.973559 0.228437i \(-0.926638\pi\)
0.684612 + 0.728908i \(0.259972\pi\)
\(138\) −0.952451 + 4.78256i −0.0810780 + 0.407118i
\(139\) 2.92120i 0.247773i 0.992296 + 0.123887i \(0.0395359\pi\)
−0.992296 + 0.123887i \(0.960464\pi\)
\(140\) 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 −0.0706982 0.997498i \(-0.522523\pi\)
0.828509 + 0.559975i \(0.189189\pi\)
\(150\) 1.64026 0.556373i 0.133927 0.0454277i
\(151\) 8.63402i 0.702626i 0.936258 + 0.351313i \(0.114265\pi\)
−0.936258 + 0.351313i \(0.885735\pi\)
\(152\) −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 0.982037 + 0.188686i \(0.0604230\pi\)
−0.327612 + 0.944813i \(0.606244\pi\)
\(168\) 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 0.380493 0.924784i \(-0.375754\pi\)
−0.610639 + 0.791909i \(0.709088\pi\)
\(174\) −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 −0.990408 0.138177i \(-0.955876\pi\)
0.375539 0.926807i \(-0.377458\pi\)
\(180\) 1.82519 + 2.38090i 0.136042 + 0.177462i
\(181\) 21.2577 + 12.2731i 1.58007 + 0.912256i 0.994847 + 0.101386i \(0.0323277\pi\)
0.585226 + 0.810870i \(0.301006\pi\)
\(182\) 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 −0.137706 0.990473i \(-0.543973\pi\)
−0.926628 + 0.375980i \(0.877306\pi\)
\(192\) 1.69869 + 0.338296i 0.122593 + 0.0244144i
\(193\) −2.03343 3.52201i −0.146370 0.253520i 0.783513 0.621375i \(-0.213426\pi\)
−0.929883 + 0.367855i \(0.880092\pi\)
\(194\) 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 −0.295068 0.955476i \(-0.595342\pi\)
0.975001 0.222202i \(-0.0713245\pi\)
\(198\) 1.47691 + 1.92657i 0.104959 + 0.136915i
\(199\) −8.46400 4.88669i −0.599997 0.346409i 0.169043 0.985609i \(-0.445932\pi\)
−0.769041 + 0.639200i \(0.779266\pi\)
\(200\) 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 −0.967706 0.252083i \(-0.918885\pi\)
0.265543 0.964099i \(-0.414449\pi\)
\(212\) 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 0.214905 0.976635i \(-0.431056\pi\)
0.953243 + 0.302204i \(0.0977223\pi\)
\(224\) 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 −0.287264 0.957851i \(-0.592746\pi\)
−0.973156 + 0.230148i \(0.926079\pi\)
\(228\) −3.84683 11.3410i −0.254763 0.751073i
\(229\) 19.5144 11.2666i 1.28955 0.744519i 0.310972 0.950419i \(-0.399345\pi\)
0.978573 + 0.205900i \(0.0660121\pi\)
\(230\) −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 \(0.132796\pi\)
−0.914231 + 0.405194i \(0.867204\pi\)
\(234\) −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 −0.492604 0.870254i \(-0.663955\pi\)
0.999964 0.00851907i \(-0.00271174\pi\)
\(240\) 1.30196 + 1.14232i 0.0840413 + 0.0737364i
\(241\) −16.0118 + 9.24439i −1.03141 + 0.595484i −0.917388 0.397995i \(-0.869706\pi\)
−0.114020 + 0.993478i \(0.536373\pi\)
\(242\) −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 0.992768 + 0.120047i \(0.0383046\pi\)
−0.392420 + 0.919786i \(0.628362\pi\)
\(252\) 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 0.320991 0.947082i \(-0.395984\pi\)
−0.659702 + 0.751527i \(0.729318\pi\)
\(258\) −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 0.409899 + 0.912131i \(0.365564\pi\)
−0.994878 + 0.101082i \(0.967769\pi\)
\(270\) −4.66187 + 2.29499i −0.283712 + 0.139669i
\(271\) 28.6405i 1.73979i 0.493238 + 0.869895i \(0.335813\pi\)
−0.493238 + 0.869895i \(0.664187\pi\)
\(272\) 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 \(0.0853886\pi\)
−0.964235 + 0.265050i \(0.914611\pi\)
\(278\) −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 \(-0.797968\pi\)
0.805249 0.592937i \(-0.202032\pi\)
\(282\) 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 −0.745151 0.666896i \(-0.767623\pi\)
0.204973 + 0.978768i \(0.434289\pi\)
\(294\) −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 −0.931699 0.363231i \(-0.881673\pi\)
0.151282 0.988491i \(-0.451660\pi\)
\(308\) 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 \(0.211150\pi\)
−0.787936 + 0.615757i \(0.788850\pi\)
\(312\) −4.24687 + 4.84039i −0.240432 + 0.274033i
\(313\) −4.42410 + 2.55426i −0.250065 + 0.144375i −0.619794 0.784765i \(-0.712784\pi\)
0.369729 + 0.929140i \(0.379451\pi\)
\(314\) 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 −0.298546 0.954395i \(-0.596502\pi\)
0.677257 + 0.735746i \(0.263168\pi\)
\(318\) 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 −0.319121 0.947714i \(-0.603388\pi\)
−0.980305 + 0.197490i \(0.936721\pi\)
\(332\) 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 \(-0.755071\pi\)
0.718282 0.695752i \(-0.244929\pi\)
\(338\) −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 0.924973 0.380034i \(-0.124088\pi\)
−0.791605 + 0.611033i \(0.790754\pi\)
\(348\) −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 0.763018 0.646378i \(-0.223717\pi\)
−0.941288 + 0.337604i \(0.890384\pi\)
\(354\) 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 −0.998479 0.0551375i \(-0.982440\pi\)
−0.546990 0.837139i \(-0.684226\pi\)
\(360\) −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 0.934948 0.354784i \(-0.115445\pi\)
0.160223 + 0.987081i \(0.448779\pi\)
\(368\) −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 0.993818 0.111023i \(-0.0354128\pi\)
−0.593058 + 0.805160i \(0.702079\pi\)
\(380\) 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 −0.906944 0.421252i \(-0.861591\pi\)
0.818287 + 0.574810i \(0.194924\pi\)
\(384\) −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 0.671446 0.741053i \(-0.265673\pi\)
−0.977494 + 0.210963i \(0.932340\pi\)
\(390\) −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 0.858923 0.512104i \(-0.171134\pi\)
−0.872957 + 0.487797i \(0.837801\pi\)
\(398\) 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 −0.431353 0.902183i \(-0.641964\pi\)
0.565637 + 0.824654i \(0.308630\pi\)
\(410\) −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 \(-0.805167\pi\)
0.818451 0.574577i \(-0.194833\pi\)
\(420\) −0.843679 + 4.23638i −0.0411673 + 0.206714i
\(421\) 1.03198 1.78744i 0.0502956 0.0871146i −0.839782 0.542924i \(-0.817317\pi\)
0.890077 + 0.455810i \(0.150650\pi\)
\(422\) 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 −0.875592 0.483051i \(-0.839529\pi\)
−0.0194621 + 0.999811i \(0.506195\pi\)
\(432\) −4.31845 2.88980i −0.207772 0.139036i
\(433\) 19.3965i 0.932135i −0.884749 0.466067i \(-0.845670\pi\)
0.884749 0.466067i \(-0.154330\pi\)
\(434\) −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 −0.673812 0.738903i \(-0.735344\pi\)
0.976815 + 0.214087i \(0.0686777\pi\)
\(440\) 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 0.155633 0.987815i \(-0.450258\pi\)
−0.777657 + 0.628689i \(0.783592\pi\)
\(444\) −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 \(-0.941066\pi\)
0.982909 0.184089i \(-0.0589336\pi\)
\(458\) 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 \(-0.793830\pi\)
0.797473 0.603354i \(-0.206170\pi\)
\(464\) −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 \(0.0649910\pi\)
−0.979229 + 0.202760i \(0.935009\pi\)
\(468\) −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 −0.551673 0.834060i \(-0.686010\pi\)
0.446481 + 0.894793i \(0.352677\pi\)
\(480\) −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 0.769637 0.638481i \(-0.220437\pi\)
−0.168122 + 0.985766i \(0.553770\pi\)
\(488\) 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 −0.737576 0.675264i \(-0.764030\pi\)
0.953584 + 0.301128i \(0.0973630\pi\)
\(492\) −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 −0.166870 0.985979i \(-0.553366\pi\)
0.770448 + 0.637503i \(0.220033\pi\)
\(500\) 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 −0.451202 0.892422i \(-0.649005\pi\)
0.547259 + 0.836963i \(0.315671\pi\)
\(504\) −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 −0.904692 0.426066i \(-0.859899\pi\)
0.821330 + 0.570454i \(0.193233\pi\)
\(510\) −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 −0.902986 0.429671i \(-0.858630\pi\)
−0.0793869 + 0.996844i \(0.525296\pi\)
\(522\) 11.2625 27.1549i 0.492947 1.18854i
\(523\) 36.8783i 1.61258i 0.591524 + 0.806288i \(0.298527\pi\)
−0.591524 + 0.806288i \(0.701473\pi\)
\(524\) −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 −0.998901 0.0468666i \(-0.985076\pi\)
0.458863 0.888507i \(-0.348257\pi\)
\(542\) −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 −0.957511 0.288397i \(-0.906878\pi\)
0.728515 + 0.685030i \(0.240211\pi\)
\(548\) 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 0.190386 0.981709i \(-0.439026\pi\)
−0.754992 + 0.655734i \(0.772359\pi\)
\(564\) −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 −0.00300954 + 0.999995i \(0.500958\pi\)
−0.864517 + 0.502604i \(0.832375\pi\)
\(570\) 11.7450 + 2.33902i 0.491943 + 0.0979709i
\(571\) −12.9537 7.47880i −0.542094 0.312978i 0.203833 0.979006i \(-0.434660\pi\)
−0.745927 + 0.666027i \(0.767993\pi\)
\(572\) −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 0.999198 0.0400337i \(-0.0127465\pi\)
−0.534269 + 0.845314i \(0.679413\pi\)
\(578\) −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 \(0.150774\pi\)
−0.889899 + 0.456157i \(0.849226\pi\)
\(594\) −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 0.615854 0.787861i \(-0.288811\pi\)
−0.374381 + 0.927275i \(0.622145\pi\)
\(600\) −1.64026 + 0.556373i −0.0669633 + 0.0227138i
\(601\) 40.0780 23.1390i 1.63482 0.943861i 0.652236 0.758016i \(-0.273831\pi\)
0.982579 0.185845i \(-0.0595023\pi\)
\(602\) 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 −0.924649 0.380821i \(-0.875642\pi\)
0.792125 + 0.610359i \(0.208975\pi\)
\(608\) 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 −0.489560 0.871970i \(-0.662843\pi\)
0.510368 + 0.859956i \(0.329509\pi\)
\(614\) 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 −0.689915 0.723891i \(-0.742352\pi\)
0.281950 + 0.959429i \(0.409019\pi\)
\(618\) 8.48065 + 7.44078i 0.341142 + 0.299312i
\(619\) 21.4392i 0.861712i −0.902421 0.430856i \(-0.858212\pi\)
0.902421 0.430856i \(-0.141788\pi\)
\(620\) −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 0.420931 0.907093i \(-0.361703\pi\)
−0.575100 + 0.818083i \(0.695037\pi\)
\(632\) 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 −0.936022 0.351942i \(-0.885522\pi\)
0.772801 + 0.634648i \(0.218855\pi\)
\(642\) 0.857429 + 2.52781i 0.0338400 + 0.0997648i
\(643\) 28.5474i 1.12580i 0.826525 + 0.562901i \(0.190315\pi\)
−0.826525 + 0.562901i \(0.809685\pi\)
\(644\) −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 \(-0.918298\pi\)
0.967239 0.253866i \(-0.0817021\pi\)
\(654\) −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 \(-0.707742\pi\)
0.607287 0.794482i \(-0.292258\pi\)
\(660\) −1.32726 + 0.450205i −0.0516636 + 0.0175242i
\(661\) 17.1606 29.7231i 0.667471 1.15609i −0.311137 0.950365i \(-0.600710\pi\)
0.978609 0.205730i \(-0.0659567\pi\)
\(662\) 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 0.810065 0.586340i \(-0.199432\pi\)
−0.102753 + 0.994707i \(0.532765\pi\)
\(674\) 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 −0.688402 0.725330i \(-0.741687\pi\)
0.972355 + 0.233509i \(0.0750207\pi\)
\(678\) −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 \(0.150471\pi\)
−0.890334 + 0.455307i \(0.849529\pi\)
\(684\) 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 −0.916974 0.398946i \(-0.869376\pi\)
0.803984 + 0.594650i \(0.202709\pi\)
\(692\) 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 −0.371649 0.928373i \(-0.621208\pi\)
0.618170 + 0.786044i \(0.287874\pi\)
\(702\) 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 \(-0.783784\pi\)
0.778036 0.628219i \(-0.216216\pi\)
\(710\) 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 0.998350 + 0.0574219i \(0.0182880\pi\)
−0.449446 + 0.893307i \(0.648379\pi\)
\(720\) −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 0.982499 + 0.186267i \(0.0596390\pi\)
−0.329938 + 0.944003i \(0.607028\pi\)
\(728\) −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 0.298061 + 0.954547i \(0.403660\pi\)
−0.975692 + 0.219145i \(0.929673\pi\)
\(734\) −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 0.306561 0.951851i \(-0.400822\pi\)
−0.671047 + 0.741415i \(0.734155\pi\)
\(740\) −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 0.993426 + 0.114478i \(0.0365196\pi\)
−0.397572 + 0.917571i \(0.630147\pi\)
\(752\) 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 −0.232487 0.972600i \(-0.574686\pi\)
−0.958539 + 0.284960i \(0.908020\pi\)
\(758\) −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 0.731718 0.681608i \(-0.238719\pi\)
−0.956149 + 0.292882i \(0.905386\pi\)
\(762\) 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 0.975383 + 0.220518i \(0.0707749\pi\)
−0.296717 + 0.954965i \(0.595892\pi\)
\(770\) −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
\(776\) 3.29345i