Properties

Label 930.2.o.e.161.3
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 161.3
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.13

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(-0.556373 + 1.64026i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(1.64026 + 0.556373i) q^{6} +(-1.24695 - 2.15979i) q^{7} +1.00000i q^{8} +(-2.38090 - 1.82519i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(-0.556373 + 1.64026i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(1.64026 + 0.556373i) q^{6} +(-1.24695 - 2.15979i) q^{7} +1.00000i q^{8} +(-2.38090 - 1.82519i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-0.404589 + 0.700769i) q^{11} +(0.556373 - 1.64026i) 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} +(-1.82519 + 2.38090i) q^{18} +(-3.45706 - 5.98781i) q^{19} +(-0.866025 - 0.500000i) q^{20} +(4.23638 - 0.843679i) q^{21} +(0.700769 + 0.404589i) q^{22} +2.81543 q^{23} +(-1.64026 - 0.556373i) 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} +(2.38090 + 1.82519i) 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} +(-0.843679 - 4.23638i) q^{42} +(5.26630 - 3.04050i) q^{43} +(0.404589 - 0.700769i) q^{44} +(-1.14932 - 2.77111i) q^{45} -2.81543i q^{46} -12.3679i q^{47} +(-0.556373 + 1.64026i) q^{48} +(0.390213 - 0.675869i) q^{49} +(0.866025 - 0.500000i) q^{50} +(11.4691 - 2.28409i) 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} +(11.7450 - 2.33902i) 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} +(-1.56643 + 4.61804i) q^{69} -2.49391 q^{70} +(-5.69119 - 3.28581i) q^{71} +(1.82519 - 2.38090i) q^{72} +(-11.0817 - 6.39801i) q^{73} +(2.27793 + 3.94549i) q^{74} +(-1.69869 + 0.338296i) 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} +(2.33735 + 8.69119i) q^{81} +(1.60176 - 2.77433i) q^{82} +(6.60136 - 11.4339i) q^{83} +(-4.23638 + 0.843679i) q^{84} -6.75175i q^{85} +(-3.04050 - 5.26630i) q^{86} +(-5.45205 + 16.0733i) q^{87} +(-0.700769 - 0.404589i) q^{88} +7.63447 q^{89} +(-2.77111 + 1.14932i) q^{90} -9.27175i q^{91} -2.81543 q^{92} +(2.61739 - 9.28166i) q^{93} -12.3679 q^{94} -6.91413i q^{95} +(1.64026 + 0.556373i) q^{96} +3.29345 q^{97} +(-0.675869 - 0.390213i) q^{98} +(2.24232 - 0.930006i) 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
\(3\) −0.556373 + 1.64026i −0.321222 + 0.947004i
\(4\) −1.00000 −0.500000
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 1.64026 + 0.556373i 0.669633 + 0.227138i
\(7\) −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
\(9\) −2.38090 1.82519i −0.793633 0.608397i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) −0.404589 + 0.700769i −0.121988 + 0.211290i −0.920552 0.390621i \(-0.872260\pi\)
0.798563 + 0.601911i \(0.205594\pi\)
\(12\) 0.556373 1.64026i 0.160611 0.473502i
\(13\) 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 \(-0.861323\pi\)
0.0878187 0.996136i \(-0.472010\pi\)
\(18\) −1.82519 + 2.38090i −0.430202 + 0.561183i
\(19\) −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
\(21\) 4.23638 0.843679i 0.924454 0.184106i
\(22\) 0.700769 + 0.404589i 0.149404 + 0.0862587i
\(23\) 2.81543 0.587059 0.293529 0.955950i \(-0.405170\pi\)
0.293529 + 0.955950i \(0.405170\pi\)
\(24\) −1.64026 0.556373i −0.334816 0.113569i
\(25\) 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 \(-0.136204\pi\)
0.909840 + 0.414960i \(0.136204\pi\)
\(30\) 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
\(36\) 2.38090 + 1.82519i 0.396816 + 0.304199i
\(37\) −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 0.700742 0.713415i \(-0.252853\pi\)
−0.267465 + 0.963568i \(0.586186\pi\)
\(42\) −0.843679 4.23638i −0.130183 0.653688i
\(43\) 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
\(45\) −1.14932 2.77111i −0.171331 0.413093i
\(46\) 2.81543i 0.415113i
\(47\) 12.3679i 1.80405i −0.431684 0.902025i \(-0.642080\pi\)
0.431684 0.902025i \(-0.357920\pi\)
\(48\) −0.556373 + 1.64026i −0.0803055 + 0.236751i
\(49\) 0.390213 0.675869i 0.0557448 0.0965528i
\(50\) 0.866025 0.500000i 0.122474 0.0707107i
\(51\) 11.4691 2.28409i 1.60600 0.319837i
\(52\) −3.21968 1.85888i −0.446489 0.257780i
\(53\) 4.33368 7.50615i 0.595276 1.03105i −0.398232 0.917285i \(-0.630376\pi\)
0.993508 0.113764i \(-0.0362907\pi\)
\(54\) −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
\(57\) 11.7450 2.33902i 1.55566 0.309811i
\(58\) 9.79927i 1.28671i
\(59\) 1.80978 1.04488i 0.235613 0.136031i −0.377546 0.925991i \(-0.623232\pi\)
0.613159 + 0.789960i \(0.289899\pi\)
\(60\) 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
\(69\) −1.56643 + 4.61804i −0.188576 + 0.555947i
\(70\) −2.49391 −0.298079
\(71\) −5.69119 3.28581i −0.675420 0.389954i 0.122707 0.992443i \(-0.460842\pi\)
−0.798127 + 0.602489i \(0.794176\pi\)
\(72\) 1.82519 2.38090i 0.215101 0.280592i
\(73\) −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
\(75\) −1.69869 + 0.338296i −0.196148 + 0.0390631i
\(76\) 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
\(81\) 2.33735 + 8.69119i 0.259706 + 0.965688i
\(82\) 1.60176 2.77433i 0.176885 0.306373i
\(83\) 6.60136 11.4339i 0.724594 1.25503i −0.234547 0.972105i \(-0.575361\pi\)
0.959141 0.282929i \(-0.0913059\pi\)
\(84\) −4.23638 + 0.843679i −0.462227 + 0.0920530i
\(85\) 6.75175i 0.732330i
\(86\) −3.04050 5.26630i −0.327865 0.567880i
\(87\) −5.45205 + 16.0733i −0.584521 + 1.72324i
\(88\) −0.700769 0.404589i −0.0747022 0.0431293i
\(89\) 7.63447 0.809252 0.404626 0.914482i \(-0.367402\pi\)
0.404626 + 0.914482i \(0.367402\pi\)
\(90\) −2.77111 + 1.14932i −0.292101 + 0.121149i
\(91\) 9.27175i 0.971944i
\(92\) −2.81543 −0.293529
\(93\) 2.61739 9.28166i 0.271410 0.962464i
\(94\) −12.3679 −1.27566
\(95\) 6.91413i 0.709375i
\(96\) 1.64026 + 0.556373i 0.167408 + 0.0567846i
\(97\) 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
\(99\) 2.24232 0.930006i 0.225362 0.0934692i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 2.54099i 0.252838i 0.991977 + 0.126419i \(0.0403484\pi\)
−0.991977 + 0.126419i \(0.959652\pi\)
\(102\) −2.28409 11.4691i −0.226159 1.13561i
\(103\) −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
\(105\) 4.09065 + 1.38754i 0.399207 + 0.135410i
\(106\) −7.50615 4.33368i −0.729061 0.420924i
\(107\) 1.33464 0.770553i 0.129024 0.0744921i −0.434099 0.900865i \(-0.642933\pi\)
0.563123 + 0.826373i \(0.309600\pi\)
\(108\) −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
\(111\) −1.54123 7.73900i −0.146287 0.734553i
\(112\) −1.24695 2.15979i −0.117826 0.204081i
\(113\) 6.23706 + 3.60097i 0.586733 + 0.338750i 0.763805 0.645448i \(-0.223329\pi\)
−0.177072 + 0.984198i \(0.556662\pi\)
\(114\) −2.33902 11.7450i −0.219070 1.10002i
\(115\) 2.43824 + 1.40772i 0.227367 + 0.131270i
\(116\) −9.79927 −0.909840
\(117\) −4.27291 10.3023i −0.395030 0.952451i
\(118\) −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
\(129\) 2.05718 + 10.3297i 0.181124 + 0.909483i
\(130\) 3.21968 1.85888i 0.282384 0.163035i
\(131\) −13.9591 + 8.05927i −1.21961 + 0.704142i −0.964834 0.262859i \(-0.915335\pi\)
−0.254775 + 0.967000i \(0.582001\pi\)
\(132\) 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
\(135\) 5.18479 0.343414i 0.446236 0.0295564i
\(136\) 5.84719 3.37588i 0.501392 0.289479i
\(137\) 3.38204 5.85786i 0.288947 0.500471i −0.684612 0.728908i \(-0.740028\pi\)
0.973559 + 0.228437i \(0.0733615\pi\)
\(138\) 4.61804 + 1.56643i 0.393114 + 0.133344i
\(139\) 2.92120i 0.247773i 0.992296 + 0.123887i \(0.0395359\pi\)
−0.992296 + 0.123887i \(0.960464\pi\)
\(140\) 2.49391i 0.210774i
\(141\) 20.2866 + 6.88119i 1.70844 + 0.579501i
\(142\) −3.28581 + 5.69119i −0.275739 + 0.477594i
\(143\) −2.60529 + 1.50417i −0.217865 + 0.125785i
\(144\) −2.38090 1.82519i −0.198408 0.152099i
\(145\) 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 \(-0.810811\pi\)
0.0706982 + 0.997498i \(0.477477\pi\)
\(150\) 0.338296 + 1.69869i 0.0276218 + 0.138698i
\(151\) 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
\(162\) 8.69119 2.33735i 0.682844 0.183640i
\(163\) −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
\(165\) −0.273742 1.37454i −0.0213108 0.107008i
\(166\) −11.4339 6.60136i −0.887443 0.512365i
\(167\) −8.45705 14.6480i −0.654426 1.13350i −0.982037 0.188686i \(-0.939577\pi\)
0.327612 0.944813i \(-0.393756\pi\)
\(168\) 0.843679 + 4.23638i 0.0650913 + 0.326844i
\(169\) 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 \(-0.290912\pi\)
−0.380493 + 0.924784i \(0.624246\pi\)
\(174\) 16.0733 + 5.45205i 1.21852 + 0.413319i
\(175\) 1.24695 2.15979i 0.0942608 0.163265i
\(176\) −0.404589 + 0.700769i −0.0304970 + 0.0528224i
\(177\) 0.706955 + 3.54984i 0.0531380 + 0.266823i
\(178\) 7.63447i 0.572228i
\(179\) 8.22638 + 14.2485i 0.614869 + 1.06498i 0.990408 + 0.138177i \(0.0441244\pi\)
−0.375539 + 0.926807i \(0.622542\pi\)
\(180\) 1.14932 + 2.77111i 0.0856654 + 0.206546i
\(181\) 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
\(183\) −3.16808 1.07461i −0.234191 0.0794373i
\(184\) 2.81543i 0.207557i
\(185\) −4.55586 −0.334953
\(186\) −9.28166 2.61739i −0.680565 0.191916i
\(187\) 5.46337 0.399521
\(188\) 12.3679i 0.902025i
\(189\) −11.6263 5.72349i −0.845687 0.416323i
\(190\) −6.91413 −0.501604
\(191\) 14.7094 + 8.49247i 1.06433 + 0.614493i 0.926628 0.375980i \(-0.122694\pi\)
0.137706 + 0.990473i \(0.456027\pi\)
\(192\) 0.556373 1.64026i 0.0401528 0.118375i
\(193\) −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
\(195\) −6.31533 + 1.25770i −0.452250 + 0.0900661i
\(196\) −0.390213 + 0.675869i −0.0278724 + 0.0482764i
\(197\) −9.54331 + 16.5295i −0.679933 + 1.17768i 0.295068 + 0.955476i \(0.404658\pi\)
−0.975001 + 0.222202i \(0.928676\pi\)
\(198\) −0.930006 2.24232i −0.0660927 0.159355i
\(199\) −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
\(204\) −11.4691 + 2.28409i −0.803001 + 0.159918i
\(205\) 1.60176 + 2.77433i 0.111872 + 0.193767i
\(206\) 5.64107 + 3.25687i 0.393032 + 0.226917i
\(207\) −6.70326 5.13871i −0.465909 0.357165i
\(208\) 3.21968 + 1.85888i 0.223244 + 0.128890i
\(209\) 5.59476 0.386998
\(210\) 1.38754 4.09065i 0.0957496 0.282282i
\(211\) −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
\(222\) −7.73900 + 1.54123i −0.519408 + 0.103441i
\(223\) 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 0.973156 0.230148i \(-0.0739209\pi\)
0.287264 + 0.957851i \(0.407254\pi\)
\(228\) −11.7450 + 2.33902i −0.777830 + 0.154906i
\(229\) 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
\(231\) −1.12277 + 3.31007i −0.0738728 + 0.217786i
\(232\) 9.79927i 0.643354i
\(233\) 12.3700i 0.810388i −0.914231 0.405194i \(-0.867204\pi\)
0.914231 0.405194i \(-0.132796\pi\)
\(234\) −10.3023 + 4.27291i −0.673485 + 0.279329i
\(235\) 6.18397 10.7110i 0.403398 0.698706i
\(236\) −1.80978 + 1.04488i −0.117806 + 0.0680156i
\(237\) −1.90133 9.54716i −0.123504 0.620155i
\(238\) 14.5823 + 8.41912i 0.945233 + 0.545731i
\(239\) −7.84359 + 13.5855i −0.507360 + 0.878773i 0.492604 + 0.870254i \(0.336045\pi\)
−0.999964 + 0.00851907i \(0.997288\pi\)
\(240\) −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
\(243\) −15.5562 1.00168i −0.997933 0.0642581i
\(244\) 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 \(-0.961695\pi\)
0.392420 0.919786i \(-0.371638\pi\)
\(252\) 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
\(255\) 11.0746 + 3.75649i 0.693520 + 0.235241i
\(256\) 1.00000 0.0625000
\(257\) 5.42996 + 3.13499i 0.338712 + 0.195555i 0.659702 0.751527i \(-0.270682\pi\)
−0.320991 + 0.947082i \(0.604016\pi\)
\(258\) 10.3297 2.05718i 0.643102 0.128074i
\(259\) 9.83968 + 5.68094i 0.611408 + 0.352997i
\(260\) −1.85888 3.21968i −0.115283 0.199676i
\(261\) −23.3311 17.8856i −1.44416 1.10709i
\(262\) 8.05927 + 13.9591i 0.497903 + 0.862394i
\(263\) −20.0171 −1.23431 −0.617154 0.786842i \(-0.711714\pi\)
−0.617154 + 0.786842i \(0.711714\pi\)
\(264\) 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
\(267\) −4.24761 + 12.5225i −0.259950 + 0.766365i
\(268\) −1.82612 + 3.16294i −0.111548 + 0.193207i
\(269\) 9.59437 16.6179i 0.584979 1.01321i −0.409899 0.912131i \(-0.634436\pi\)
0.994878 0.101082i \(-0.0322306\pi\)
\(270\) −0.343414 5.18479i −0.0208995 0.315536i
\(271\) 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
\(273\) 15.2081 + 5.15855i 0.920435 + 0.312210i
\(274\) −5.85786 3.38204i −0.353886 0.204316i
\(275\) −0.809178 −0.0487953
\(276\) 1.56643 4.61804i 0.0942881 0.277973i
\(277\) 8.82263i 0.530101i 0.964235 + 0.265050i \(0.0853886\pi\)
−0.964235 + 0.265050i \(0.914611\pi\)
\(278\) 2.92120 0.175202
\(279\) 13.7681 + 9.45726i 0.824274 + 0.566191i
\(280\) 2.49391 0.149039
\(281\) 19.8789i 1.18587i 0.805249 + 0.592937i \(0.202032\pi\)
−0.805249 + 0.592937i \(0.797968\pi\)
\(282\) 6.88119 20.2866i 0.409769 1.20805i
\(283\) −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
\(285\) 11.3410 + 3.84683i 0.671781 + 0.227867i
\(286\) 1.50417 + 2.60529i 0.0889432 + 0.154054i
\(287\) 7.98927i 0.471592i
\(288\) −1.82519 + 2.38090i −0.107550 + 0.140296i
\(289\) −14.2931 + 24.7563i −0.840769 + 1.45625i
\(290\) 4.89964 8.48642i 0.287717 0.498340i
\(291\) −1.83239 + 5.40211i −0.107416 + 0.316677i
\(292\) 11.0817 + 6.39801i 0.648506 + 0.374415i
\(293\) 9.24636 5.33839i 0.540178 0.311872i −0.204973 0.978768i \(-0.565711\pi\)
0.745151 + 0.666896i \(0.232377\pi\)
\(294\) 1.01609 0.891496i 0.0592594 0.0519931i
\(295\) 2.08975 0.121670
\(296\) −2.27793 3.94549i −0.132402 0.229327i
\(297\) 0.277883 + 4.19542i 0.0161244 + 0.243443i
\(298\) 5.34064 + 9.25026i 0.309375 + 0.535853i
\(299\) 9.06479 + 5.23356i 0.524230 + 0.302664i
\(300\) 1.69869 0.338296i 0.0980740 0.0195315i
\(301\) −13.1337 7.58272i −0.757012 0.437061i
\(302\) 8.63402 0.496832
\(303\) −4.16788 1.41374i −0.239439 0.0812172i
\(304\) −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 \(-0.788850\pi\)
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 −0.619794 0.784765i \(-0.712784\pi\)
0.369729 + 0.929140i \(0.379451\pi\)
\(314\) 14.3655i 0.810691i
\(315\) −4.55186 + 5.93774i −0.256468 + 0.334554i
\(316\) 4.86732 2.81015i 0.273808 0.158083i
\(317\) −6.74277 + 3.89294i −0.378711 + 0.218649i −0.677257 0.735746i \(-0.736832\pi\)
0.298546 + 0.954395i \(0.403498\pi\)
\(318\) 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
\(321\) 0.521350 + 2.61786i 0.0290989 + 0.146115i
\(322\) −6.08074 + 3.51072i −0.338866 + 0.195645i
\(323\) −23.3412 + 40.4282i −1.29874 + 2.24949i
\(324\) −2.33735 8.69119i −0.129853 0.482844i
\(325\) 3.71776i 0.206224i
\(326\) 12.7393i 0.705564i
\(327\) 10.8654 32.0327i 0.600860 1.77141i
\(328\) −1.60176 + 2.77433i −0.0884423 + 0.153187i
\(329\) −26.7121 + 15.4223i −1.47269 + 0.850256i
\(330\) −1.37454 + 0.273742i −0.0756662 + 0.0150690i
\(331\) −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
\(336\) 4.23638 0.843679i 0.231114 0.0460265i
\(337\) 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 0.791605 0.611033i \(-0.209246\pi\)
−0.924973 + 0.380034i \(0.875912\pi\)
\(348\) 5.45205 16.0733i 0.292261 0.861622i
\(349\) 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
\(351\) 19.2758 1.27673i 1.02887 0.0681470i
\(352\) 0.700769 + 0.404589i 0.0373511 + 0.0215647i
\(353\) 3.34940 + 5.80134i 0.178271 + 0.308774i 0.941288 0.337604i \(-0.109616\pi\)
−0.763018 + 0.646378i \(0.776283\pi\)
\(354\) 3.54984 0.706955i 0.188672 0.0375742i
\(355\) −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 \(0.0175597\pi\)
0.546990 + 0.837139i \(0.315774\pi\)
\(360\) 2.77111 1.14932i 0.146050 0.0605746i
\(361\) −14.4026 + 24.9460i −0.758031 + 1.31295i
\(362\) 12.2731 21.2577i 0.645062 1.11728i
\(363\) −17.5734 + 3.49975i −0.922362 + 0.183689i
\(364\) 9.27175i 0.485972i
\(365\) −6.39801 11.0817i −0.334887 0.580042i
\(366\) −1.07461 + 3.16808i −0.0561706 + 0.165598i
\(367\) 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
\(369\) −3.68187 8.87730i −0.191671 0.462134i
\(370\) 4.55586i 0.236848i
\(371\) −21.6156 −1.12222
\(372\) −2.61739 + 9.28166i −0.135705 + 0.481232i
\(373\) 32.0372 1.65882 0.829410 0.558640i \(-0.188677\pi\)
0.829410 + 0.558640i \(0.188677\pi\)
\(374\) 5.46337i 0.282504i
\(375\) −1.64026 0.556373i −0.0847026 0.0287310i
\(376\) 12.3679 0.637828
\(377\) 31.5505 + 18.2157i 1.62493 + 0.938156i
\(378\) −5.72349 + 11.6263i −0.294385 + 0.597991i
\(379\) 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
\(381\) −3.11597 15.6463i −0.159636 0.801583i
\(382\) 8.49247 14.7094i 0.434512 0.752598i
\(383\) 1.73505 3.00520i 0.0886570 0.153558i −0.818287 0.574810i \(-0.805076\pi\)
0.906944 + 0.421252i \(0.138409\pi\)
\(384\) −1.64026 0.556373i −0.0837041 0.0283923i
\(385\) 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 \(-0.0676600\pi\)
−0.671446 + 0.741053i \(0.734327\pi\)
\(390\) 1.25770 + 6.31533i 0.0636864 + 0.319789i
\(391\) −9.50456 16.4624i −0.480666 0.832538i
\(392\) 0.675869 + 0.390213i 0.0341366 + 0.0197088i
\(393\) −5.45284 27.3804i −0.275059 1.38116i
\(394\) 16.5295 + 9.54331i 0.832744 + 0.480785i
\(395\) −5.62030 −0.282788
\(396\) −2.24232 + 0.930006i −0.112681 + 0.0467346i
\(397\) −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 \(-0.676257\pi\)
−0.525862 + 0.850570i \(0.676257\pi\)
\(402\) 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
\(408\) 2.28409 + 11.4691i 0.113079 + 0.567807i
\(409\) 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
\(414\) −5.13871 + 6.70326i −0.252554 + 0.329447i
\(415\) 11.4339 6.60136i 0.561268 0.324048i
\(416\) 1.85888 3.21968i 0.0911391 0.157858i
\(417\) −4.79153 1.62528i −0.234642 0.0795902i
\(418\) 5.59476i 0.273649i
\(419\) 23.5226i 1.14915i 0.818451 + 0.574577i \(0.194833\pi\)
−0.818451 + 0.574577i \(0.805167\pi\)
\(420\) −4.09065 1.38754i −0.199603 0.0677052i
\(421\) 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
\(423\) −22.5739 + 29.4468i −1.09758 + 1.43175i
\(424\) 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
\(429\) −1.01771 5.11023i −0.0491354 0.246724i
\(430\) 6.08100i 0.293252i
\(431\) 18.5818 10.7282i 0.895055 0.516760i 0.0194621 0.999811i \(-0.493805\pi\)
0.875592 + 0.483051i \(0.160471\pi\)
\(432\) 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
\(441\) −2.16265 + 0.896962i −0.102983 + 0.0427125i
\(442\) −25.1014 −1.19395
\(443\) 13.0921 + 7.55872i 0.622024 + 0.359126i 0.777657 0.628689i \(-0.216408\pi\)
−0.155633 + 0.987815i \(0.549742\pi\)
\(444\) 1.54123 + 7.73900i 0.0731435 + 0.367277i
\(445\) 6.61164 + 3.81723i 0.313422 + 0.180954i
\(446\) −10.0714 17.4442i −0.476895 0.826006i
\(447\) −3.61344 18.1442i −0.170910 0.858192i
\(448\) 1.24695 + 2.15979i 0.0589130 + 0.102040i
\(449\) −15.6070 −0.736538 −0.368269 0.929719i \(-0.620049\pi\)
−0.368269 + 0.929719i \(0.620049\pi\)
\(450\) −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
\(453\) −14.1620 4.80373i −0.665390 0.225699i
\(454\) 10.9640 18.9901i 0.514564 0.891251i
\(455\) 4.63588 8.02957i 0.217333 0.376432i
\(456\) 2.33902 + 11.7450i 0.109535 + 0.550009i
\(457\) 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
\(459\) −31.4758 15.4952i −1.46916 0.723254i
\(460\) −2.43824 1.40772i −0.113683 0.0656352i
\(461\) 5.49791 0.256063 0.128032 0.991770i \(-0.459134\pi\)
0.128032 + 0.991770i \(0.459134\pi\)
\(462\) 3.31007 + 1.12277i 0.153998 + 0.0522359i
\(463\) 25.9653i 1.20671i −0.797473 0.603354i \(-0.793830\pi\)
0.797473 0.603354i \(-0.206170\pi\)
\(464\) 9.79927 0.454920
\(465\) 6.90755 6.72946i 0.320330 0.312071i
\(466\) −12.3700 −0.573031
\(467\) 8.76334i 0.405519i −0.979229 0.202760i \(-0.935009\pi\)
0.979229 0.202760i \(-0.0649910\pi\)
\(468\) 4.27291 + 10.3023i 0.197515 + 0.476226i
\(469\) −9.10837 −0.420585
\(470\) −10.7110 6.18397i −0.494059 0.285245i
\(471\) −7.99257 + 23.5631i −0.368278 + 1.08573i
\(472\) 1.04488 + 1.80978i 0.0480943 + 0.0833018i
\(473\) 4.92061i 0.226250i
\(474\) −9.54716 + 1.90133i −0.438516 + 0.0873308i
\(475\) 3.45706 5.98781i 0.158621 0.274740i
\(476\) 8.41912 14.5823i 0.385890 0.668381i
\(477\) −24.0182 + 9.96158i −1.09972 + 0.456109i
\(478\) 13.5855 + 7.84359i 0.621386 + 0.358757i
\(479\) 2.30224 1.32920i 0.105192 0.0607327i −0.446481 0.894793i \(-0.647323\pi\)
0.551673 + 0.834060i \(0.313990\pi\)
\(480\) 1.14232 + 1.30196i 0.0521395 + 0.0594262i
\(481\) −16.9376 −0.772288
\(482\) 9.24439 + 16.0118i 0.421071 + 0.729316i
\(483\) 11.9273 2.37532i 0.542709 0.108081i
\(484\) −5.17262 8.95923i −0.235119 0.407238i
\(485\) 2.85221 + 1.64672i 0.129512 + 0.0747739i
\(486\) −1.00168 + 15.5562i −0.0454373 + 0.705645i
\(487\) 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
\(489\) 7.08780 20.8957i 0.320521 0.944938i
\(490\) −0.390213 0.675869i −0.0176280 0.0305327i
\(491\) −4.78641 + 8.29031i −0.216008 + 0.374136i −0.953584 0.301128i \(-0.902637\pi\)
0.737576 + 0.675264i \(0.235970\pi\)
\(492\) 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
\(501\) 28.7318 5.72197i 1.28364 0.255639i
\(502\) −16.4741 + 9.51130i −0.735273 + 0.424510i
\(503\) −2.15434 + 1.24381i −0.0960572 + 0.0554587i −0.547259 0.836963i \(-0.684329\pi\)
0.451202 + 0.892422i \(0.350995\pi\)
\(504\) −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
\(507\) −1.39591 + 0.277997i −0.0619946 + 0.0123463i
\(508\) 7.97677 4.60539i 0.353912 0.204331i
\(509\) 1.88074 3.25754i 0.0833624 0.144388i −0.821330 0.570454i \(-0.806767\pi\)
0.904692 + 0.426066i \(0.140101\pi\)
\(510\) 3.75649 11.0746i 0.166340 0.490392i
\(511\) 31.9121i 1.41171i
\(512\) 1.00000i 0.0441942i
\(513\) −32.2328 15.8679i −1.42311 0.700583i
\(514\) 3.13499 5.42996i 0.138278 0.239505i
\(515\) −5.64107 + 3.25687i −0.248575 + 0.143515i
\(516\) −2.05718 10.3297i −0.0905622 0.454742i
\(517\) 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 \(-0.474704\pi\)
0.902986 + 0.429671i \(0.141370\pi\)
\(522\) −17.8856 + 23.3311i −0.782829 + 1.02117i
\(523\) 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
\(534\) 12.5225 + 4.24761i 0.541902 + 0.183812i
\(535\) 1.54111 0.0666278
\(536\) 3.16294 + 1.82612i 0.136618 + 0.0788765i
\(537\) −27.9482 + 5.56591i −1.20605 + 0.240187i
\(538\) −16.6179 9.59437i −0.716450 0.413643i
\(539\) 0.315752 + 0.546899i 0.0136004 + 0.0235566i
\(540\) −5.18479 + 0.343414i −0.223118 + 0.0147782i
\(541\) −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
\(546\) 5.15855 15.2081i 0.220766 0.650846i
\(547\) −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
\(549\) 3.52527 4.59859i 0.150455 0.196263i
\(550\) 0.809178i 0.0345035i
\(551\) −33.8767 58.6762i −1.44320 2.49969i
\(552\) −4.61804 1.56643i −0.196557 0.0666718i
\(553\) 12.1386 + 7.00825i 0.516188 + 0.298021i
\(554\) 8.82263 0.374838
\(555\) 2.53476 7.47278i 0.107594 0.317202i
\(556\) 2.92120i 0.123887i
\(557\) −13.7761 −0.583714 −0.291857 0.956462i \(-0.594273\pi\)
−0.291857 + 0.956462i \(0.594273\pi\)
\(558\) 9.45726 13.7681i 0.400358 0.582850i
\(559\) 22.6077 0.956204
\(560\) 2.49391i 0.105387i
\(561\) −3.03967 + 8.96134i −0.128335 + 0.378348i
\(562\) 19.8789 0.838540
\(563\) 13.3968 + 7.73462i 0.564606 + 0.325976i 0.754992 0.655734i \(-0.227641\pi\)
−0.190386 + 0.981709i \(0.560974\pi\)
\(564\) −20.2866 6.88119i −0.854221 0.289750i
\(565\) 3.60097 + 6.23706i 0.151494 + 0.262395i
\(566\) 9.93823i 0.417735i
\(567\) 15.8566 15.8857i 0.665913 0.667136i
\(568\) 3.28581 5.69119i 0.137870 0.238797i
\(569\) 20.6937 35.8426i 0.867526 1.50260i 0.00300954 0.999995i \(-0.499042\pi\)
0.864517 0.502604i \(-0.167625\pi\)
\(570\) 3.84683 11.3410i 0.161126 0.475021i
\(571\) −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
\(576\) 2.38090 + 1.82519i 0.0992041 + 0.0760497i
\(577\) 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
\(579\) 6.90835 1.37581i 0.287101 0.0571765i
\(580\) −8.48642 4.89964i −0.352379 0.203446i
\(581\) −32.9264 −1.36602
\(582\) 5.40211 + 1.83239i 0.223925 + 0.0759548i
\(583\) 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 \(-0.311245\pi\)
0.558844 + 0.829273i \(0.311245\pi\)
\(588\) −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 \(-0.150774\pi\)
\(594\) 4.19542 0.277883i 0.172140 0.0114017i
\(595\) −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 \(-0.377855\pi\)
−0.615854 + 0.787861i \(0.711189\pi\)
\(600\) −0.338296 1.69869i −0.0138109 0.0693488i
\(601\) 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
\(603\) −10.1208 + 4.19761i −0.412150 + 0.170940i
\(604\) 8.63402i 0.351313i
\(605\) 10.3452i 0.420593i
\(606\) −1.41374 + 4.16788i −0.0574292 + 0.169309i
\(607\) −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
\(609\) 41.5135 8.26744i 1.68221 0.335014i
\(610\) 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
\(615\) −5.44179 + 1.08374i −0.219434 + 0.0437005i
\(616\) 2.01801i 0.0813081i
\(617\) 10.1336 5.85065i 0.407964 0.235538i −0.281950 0.959429i \(-0.590981\pi\)
0.689915 + 0.723891i \(0.257648\pi\)
\(618\) −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
\(627\) −3.11277 + 9.17686i −0.124312 + 0.366488i
\(628\) −14.3655 −0.573245
\(629\) 26.6390 + 15.3800i 1.06216 + 0.613241i
\(630\) 5.93774 + 4.55186i 0.236565 + 0.181350i
\(631\) −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
\(633\) 34.6516 6.90091i 1.37728 0.274286i
\(634\) 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
\(639\) 7.55291 + 18.2107i 0.298789 + 0.720404i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) 4.13241 7.15755i 0.163221 0.282706i −0.772801 0.634648i \(-0.781145\pi\)
0.936022 + 0.351942i \(0.114478\pi\)
\(642\) 2.61786 0.521350i 0.103319 0.0205760i
\(643\) 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
\(645\) −3.38330 + 9.97441i −0.133217 + 0.392742i
\(646\) 40.4282 + 23.3412i 1.59063 + 0.918349i
\(647\) 13.2500 0.520910 0.260455 0.965486i \(-0.416127\pi\)
0.260455 + 0.965486i \(0.416127\pi\)
\(648\) −8.69119 + 2.33735i −0.341422 + 0.0918198i
\(649\) 1.69098i 0.0663768i
\(650\) 3.71776 0.145823
\(651\) −23.3102 + 5.92081i −0.913598 + 0.232055i
\(652\) 12.7393 0.498909
\(653\) 12.9745i 0.507731i 0.967239 + 0.253866i \(0.0817021\pi\)
−0.967239 + 0.253866i \(0.918298\pi\)
\(654\) −32.0327 10.8654i −1.25258 0.424872i
\(655\) −16.1185 −0.629803
\(656\) 2.77433 + 1.60176i 0.108319 + 0.0625381i
\(657\) 14.7068 + 35.4592i 0.573765 + 1.38340i
\(658\) 15.4223 + 26.7121i 0.601222 + 1.04135i
\(659\) 40.7903i 1.58896i 0.607287 + 0.794482i \(0.292258\pi\)
−0.607287 + 0.794482i \(0.707742\pi\)
\(660\) 0.273742 + 1.37454i 0.0106554 + 0.0535041i
\(661\) 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
\(663\) 41.1728 + 13.9657i 1.59902 + 0.542385i
\(664\) 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
\(669\) 6.81423 + 34.2164i 0.263454 + 1.32288i
\(670\) −1.82612 3.16294i −0.0705493 0.122195i
\(671\) −1.35350 0.781444i −0.0522513 0.0301673i
\(672\) −0.843679 4.23638i −0.0325456 0.163422i
\(673\) 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
\(675\) 4.66187 + 2.29499i 0.179435 + 0.0883342i
\(676\) −0.410878 0.711662i −0.0158030 0.0273716i
\(677\) −7.38824 + 12.7968i −0.283953 + 0.491821i −0.972355 0.233509i \(-0.924979\pi\)
0.688402 + 0.725330i \(0.258313\pi\)
\(678\) 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
\(687\) 7.62291 + 38.2770i 0.290832 + 1.46036i
\(688\) 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
\(693\) −4.80469 3.68326i −0.182515 0.139916i
\(694\) −4.30303 + 2.48436i −0.163341 + 0.0943048i
\(695\) −1.46060 + 2.52983i −0.0554037 + 0.0959621i
\(696\) −16.0733 5.45205i −0.609259 0.206659i
\(697\) 21.6293i 0.819270i
\(698\) 17.2065i 0.651275i
\(699\) 20.2901 + 6.88236i 0.767441 + 0.260315i
\(700\) −1.24695 + 2.15979i −0.0471304 + 0.0816323i
\(701\) −6.52698 + 3.76835i −0.246521 + 0.142329i −0.618170 0.786044i \(-0.712126\pi\)
0.371649 + 0.928373i \(0.378792\pi\)
\(702\) −1.27673 19.2758i −0.0481872 0.727519i
\(703\) 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
\(708\) −0.706955 3.54984i −0.0265690 0.133411i
\(709\) 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 \(-0.981712\pi\)
0.449446 0.893307i \(-0.351621\pi\)
\(720\) −1.14932 2.77111i −0.0428327 0.103273i
\(721\) 16.2447 0.604984
\(722\) 24.9460 + 14.4026i 0.928394 + 0.536009i
\(723\) −6.25469 31.4068i −0.232614 1.16803i
\(724\) −21.2577 12.2731i −0.790037 0.456128i
\(725\) 4.89964 + 8.48642i 0.181968 + 0.315178i
\(726\) 3.49975 + 17.5734i 0.129888 + 0.652209i
\(727\) 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
\(732\) 3.16808 + 1.07461i 0.117096 + 0.0397186i
\(733\) −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
\(735\) 0.264015 + 1.32570i 0.00973835 + 0.0488994i
\(736\) 2.81543i 0.103778i
\(737\) 1.47766 + 2.55938i 0.0544303 + 0.0942760i
\(738\) −8.87730 + 3.68187i −0.326778 + 0.135532i
\(739\) −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
\(741\) 42.1630 + 14.3016i 1.54890 + 0.525383i
\(742\) 21.6156i 0.793533i
\(743\) 36.0723 1.32337 0.661683 0.749784i \(-0.269843\pi\)
0.661683 + 0.749784i \(0.269843\pi\)
\(744\) 9.28166 + 2.61739i 0.340282 + 0.0959580i
\(745\) −10.6813 −0.391332
\(746\) 32.0372i 1.17296i
\(747\) −36.5862 + 15.1742i −1.33862 + 0.555195i
\(748\) −5.46337 −0.199761
\(749\) −3.32846 1.92169i −0.121619 0.0702169i
\(750\) −0.556373 + 1.64026i −0.0203159 + 0.0598938i
\(751\) 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
\(753\) 32.3135 6.43527i 1.17757 0.234514i
\(754\) 18.2157 31.5505i 0.663376 1.14900i
\(755\) −4.31701 + 7.47728i −0.157112 + 0.272126i
\(756\) 11.6263 + 5.72349i 0.422843 + 0.208161i
\(757\) −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 0.956149 0.292882i \(-0.0946144\pi\)
−0.731718 + 0.681608i \(0.761281\pi\)
\(762\) −15.6463 + 3.11597i −0.566805 + 0.112880i
\(763\) 24.3518 + 42.1785i 0.881594 + 1.52697i
\(764\) −14.7094 8.49247i −0.532167 0.307247i
\(765\) −12.3232 + 16.0752i −0.445548 + 0.581201i
\(766\) −3.00520 1.73505i −0.108582 0.0626900i
\(767\) 7.76920 0.280530
\(768\) −0.556373 + 1.64026i −0.0200764 + 0.0591877i
\(769\) 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 \(-0.241207\pi\)
0.726368 + 0.687306i \(0.241207\pi\)
\(774\) −2.37289 + 18.0880i −0.0852917 + 0.650160i
\(775\) −3.03150 4.67012i −0.108895 0.167756i
\(776\) 3.29345i 0.118228i