Properties

Label 45.4.e.b.16.1
Level $45$
Weight $4$
Character 45.16
Analytic conductor $2.655$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 45 = 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 45.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.65508595026\)
Analytic rank: \(0\)
Dimension: \(6\)
Relative dimension: \(3\) over \(\Q(\zeta_{3})\)
Coefficient field: 6.0.15759792.1
Defining polynomial: \( x^{6} - 3x^{5} + 16x^{4} - 27x^{3} + 52x^{2} - 39x + 9 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 16.1
Root \(0.500000 - 0.0378788i\) of defining polynomial
Character \(\chi\) \(=\) 45.16
Dual form 45.4.e.b.31.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.87428 + 3.24635i) q^{2} +(-4.05724 - 3.24635i) q^{3} +(-3.02587 - 5.24096i) q^{4} +(-2.50000 - 4.33013i) q^{5} +(18.1432 - 7.08665i) q^{6} +(15.6746 - 27.1492i) q^{7} -7.30318 q^{8} +(5.92239 + 26.3425i) q^{9} +O(q^{10})\) \(q+(-1.87428 + 3.24635i) q^{2} +(-4.05724 - 3.24635i) q^{3} +(-3.02587 - 5.24096i) q^{4} +(-2.50000 - 4.33013i) q^{5} +(18.1432 - 7.08665i) q^{6} +(15.6746 - 27.1492i) q^{7} -7.30318 q^{8} +(5.92239 + 26.3425i) q^{9} +18.7428 q^{10} +(10.4166 - 18.0422i) q^{11} +(-4.73733 + 31.0869i) q^{12} +(-29.9655 - 51.9018i) q^{13} +(58.7572 + 101.770i) q^{14} +(-3.91402 + 25.6842i) q^{15} +(37.8952 - 65.6364i) q^{16} -74.0460 q^{17} +(-96.6172 - 30.1471i) q^{18} -63.8390 q^{19} +(-15.1294 + 26.2048i) q^{20} +(-151.731 + 59.2655i) q^{21} +(39.0475 + 67.6322i) q^{22} +(16.4247 + 28.4484i) q^{23} +(29.6307 + 23.7087i) q^{24} +(-12.5000 + 21.6506i) q^{25} +224.655 q^{26} +(61.4884 - 126.104i) q^{27} -189.717 q^{28} +(80.0044 - 138.572i) q^{29} +(-76.0441 - 60.8458i) q^{30} +(127.187 + 220.294i) q^{31} +(112.840 + 195.444i) q^{32} +(-100.834 + 39.3853i) q^{33} +(138.783 - 240.379i) q^{34} -156.746 q^{35} +(120.139 - 110.748i) q^{36} +215.365 q^{37} +(119.652 - 207.244i) q^{38} +(-46.9143 + 307.857i) q^{39} +(18.2579 + 31.6237i) q^{40} +(-70.8407 - 122.700i) q^{41} +(91.9908 - 603.654i) q^{42} +(-68.9529 + 119.430i) q^{43} -126.078 q^{44} +(99.2602 - 91.5008i) q^{45} -123.138 q^{46} +(-16.7895 + 29.0803i) q^{47} +(-366.829 + 143.281i) q^{48} +(-319.885 - 554.058i) q^{49} +(-46.8571 - 81.1588i) q^{50} +(300.422 + 240.379i) q^{51} +(-181.344 + 314.096i) q^{52} -41.9914 q^{53} +(294.131 + 435.967i) q^{54} -104.166 q^{55} +(-114.474 + 198.275i) q^{56} +(259.010 + 207.244i) q^{57} +(299.902 + 519.445i) q^{58} +(-307.571 - 532.728i) q^{59} +(146.453 - 57.2040i) q^{60} +(67.1535 - 116.313i) q^{61} -953.535 q^{62} +(808.007 + 252.119i) q^{63} -239.652 q^{64} +(-149.828 + 259.509i) q^{65} +(61.1331 - 401.162i) q^{66} +(428.767 + 742.646i) q^{67} +(224.054 + 388.072i) q^{68} +(25.7146 - 168.742i) q^{69} +(293.786 - 508.852i) q^{70} +588.665 q^{71} +(-43.2522 - 192.384i) q^{72} -618.191 q^{73} +(-403.655 + 699.152i) q^{74} +(121.001 - 47.2624i) q^{75} +(193.169 + 334.578i) q^{76} +(-326.553 - 565.607i) q^{77} +(-911.481 - 729.311i) q^{78} +(172.644 - 299.029i) q^{79} -378.952 q^{80} +(-658.851 + 312.021i) q^{81} +531.102 q^{82} +(546.584 - 946.711i) q^{83} +(769.728 + 615.889i) q^{84} +(185.115 + 320.629i) q^{85} +(-258.474 - 447.691i) q^{86} +(-774.450 + 302.496i) q^{87} +(-76.0746 + 131.765i) q^{88} +414.849 q^{89} +(111.002 + 493.732i) q^{90} -1878.79 q^{91} +(99.3979 - 172.162i) q^{92} +(199.125 - 1306.68i) q^{93} +(-62.9366 - 109.009i) q^{94} +(159.598 + 276.431i) q^{95} +(176.663 - 1159.28i) q^{96} +(100.705 - 174.427i) q^{97} +2398.22 q^{98} +(536.967 + 167.547i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q + q^{2} + 9 q^{3} - 11 q^{4} - 15 q^{5} + 84 q^{6} + 43 q^{7} - 54 q^{8} + 57 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 6 q + q^{2} + 9 q^{3} - 11 q^{4} - 15 q^{5} + 84 q^{6} + 43 q^{7} - 54 q^{8} + 57 q^{9} - 10 q^{10} - 14 q^{11} + 75 q^{12} - 40 q^{13} + 27 q^{14} - 15 q^{15} + 13 q^{16} - 332 q^{17} + 3 q^{18} - 328 q^{19} - 55 q^{20} - 144 q^{21} + 376 q^{22} - 171 q^{23} - 63 q^{24} - 75 q^{25} + 868 q^{26} + 162 q^{27} - 1034 q^{28} + 335 q^{29} - 315 q^{30} + 352 q^{31} + 77 q^{32} - 708 q^{33} + 52 q^{34} - 430 q^{35} + 1086 q^{36} + 804 q^{37} + 178 q^{38} - 390 q^{39} + 135 q^{40} - 187 q^{41} + 513 q^{42} + 602 q^{43} + 1964 q^{44} + 330 q^{45} - 402 q^{46} - 665 q^{47} - 1074 q^{48} - 430 q^{49} + 25 q^{50} - 180 q^{51} + 456 q^{52} - 1460 q^{53} + 639 q^{54} + 140 q^{55} - 705 q^{56} - 486 q^{57} - 217 q^{58} + 298 q^{59} - 150 q^{60} + 1439 q^{61} - 3228 q^{62} + 2205 q^{63} - 3138 q^{64} - 200 q^{65} - 966 q^{66} + 1849 q^{67} + 710 q^{68} - 873 q^{69} + 135 q^{70} + 140 q^{71} + 261 q^{72} - 736 q^{73} + 320 q^{74} - 150 q^{75} - 204 q^{76} + 948 q^{77} - 432 q^{78} + 382 q^{79} - 130 q^{80} - 1251 q^{81} - 1150 q^{82} + 831 q^{83} - 909 q^{84} + 830 q^{85} - 1580 q^{86} + 258 q^{87} + 1428 q^{88} + 3438 q^{89} + 375 q^{90} - 1420 q^{91} + 1623 q^{92} + 2178 q^{93} + 2077 q^{94} + 820 q^{95} + 1155 q^{96} + 282 q^{97} + 4328 q^{98} - 762 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).

\(n\) \(11\) \(37\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.87428 + 3.24635i −0.662659 + 1.14776i 0.317255 + 0.948340i \(0.397239\pi\)
−0.979914 + 0.199419i \(0.936095\pi\)
\(3\) −4.05724 3.24635i −0.780816 0.624761i
\(4\) −3.02587 5.24096i −0.378234 0.655120i
\(5\) −2.50000 4.33013i −0.223607 0.387298i
\(6\) 18.1432 7.08665i 1.23449 0.482185i
\(7\) 15.6746 27.1492i 0.846348 1.46592i −0.0380969 0.999274i \(-0.512130\pi\)
0.884445 0.466644i \(-0.154537\pi\)
\(8\) −7.30318 −0.322758
\(9\) 5.92239 + 26.3425i 0.219348 + 0.975647i
\(10\) 18.7428 0.592700
\(11\) 10.4166 18.0422i 0.285522 0.494538i −0.687214 0.726455i \(-0.741166\pi\)
0.972736 + 0.231917i \(0.0744998\pi\)
\(12\) −4.73733 + 31.0869i −0.113962 + 0.747834i
\(13\) −29.9655 51.9018i −0.639303 1.10731i −0.985586 0.169175i \(-0.945890\pi\)
0.346283 0.938130i \(-0.387444\pi\)
\(14\) 58.7572 + 101.770i 1.12168 + 1.94281i
\(15\) −3.91402 + 25.6842i −0.0673730 + 0.442110i
\(16\) 37.8952 65.6364i 0.592112 1.02557i
\(17\) −74.0460 −1.05640 −0.528200 0.849120i \(-0.677133\pi\)
−0.528200 + 0.849120i \(0.677133\pi\)
\(18\) −96.6172 30.1471i −1.26516 0.394763i
\(19\) −63.8390 −0.770825 −0.385413 0.922744i \(-0.625941\pi\)
−0.385413 + 0.922744i \(0.625941\pi\)
\(20\) −15.1294 + 26.2048i −0.169151 + 0.292979i
\(21\) −151.731 + 59.2655i −1.57669 + 0.615847i
\(22\) 39.0475 + 67.6322i 0.378407 + 0.655420i
\(23\) 16.4247 + 28.4484i 0.148904 + 0.257909i 0.930823 0.365472i \(-0.119092\pi\)
−0.781919 + 0.623380i \(0.785759\pi\)
\(24\) 29.6307 + 23.7087i 0.252015 + 0.201646i
\(25\) −12.5000 + 21.6506i −0.100000 + 0.173205i
\(26\) 224.655 1.69456
\(27\) 61.4884 126.104i 0.438276 0.898841i
\(28\) −189.717 −1.28047
\(29\) 80.0044 138.572i 0.512291 0.887314i −0.487607 0.873063i \(-0.662130\pi\)
0.999898 0.0142513i \(-0.00453647\pi\)
\(30\) −76.0441 60.8458i −0.462790 0.370296i
\(31\) 127.187 + 220.294i 0.736884 + 1.27632i 0.953892 + 0.300151i \(0.0970371\pi\)
−0.217007 + 0.976170i \(0.569630\pi\)
\(32\) 112.840 + 195.444i 0.623358 + 1.07969i
\(33\) −100.834 + 39.3853i −0.531908 + 0.207760i
\(34\) 138.783 240.379i 0.700033 1.21249i
\(35\) −156.746 −0.756997
\(36\) 120.139 110.748i 0.556201 0.512722i
\(37\) 215.365 0.956914 0.478457 0.878111i \(-0.341196\pi\)
0.478457 + 0.878111i \(0.341196\pi\)
\(38\) 119.652 207.244i 0.510794 0.884722i
\(39\) −46.9143 + 307.857i −0.192623 + 1.26401i
\(40\) 18.2579 + 31.6237i 0.0721708 + 0.125004i
\(41\) −70.8407 122.700i −0.269841 0.467377i 0.698980 0.715141i \(-0.253638\pi\)
−0.968820 + 0.247764i \(0.920304\pi\)
\(42\) 91.9908 603.654i 0.337964 2.21776i
\(43\) −68.9529 + 119.430i −0.244540 + 0.423556i −0.962002 0.273042i \(-0.911970\pi\)
0.717462 + 0.696597i \(0.245304\pi\)
\(44\) −126.078 −0.431976
\(45\) 99.2602 91.5008i 0.328819 0.303114i
\(46\) −123.138 −0.394689
\(47\) −16.7895 + 29.0803i −0.0521064 + 0.0902509i −0.890902 0.454195i \(-0.849927\pi\)
0.838796 + 0.544446i \(0.183260\pi\)
\(48\) −366.829 + 143.281i −1.10307 + 0.430852i
\(49\) −319.885 554.058i −0.932611 1.61533i
\(50\) −46.8571 81.1588i −0.132532 0.229552i
\(51\) 300.422 + 240.379i 0.824854 + 0.659997i
\(52\) −181.344 + 314.096i −0.483612 + 0.837641i
\(53\) −41.9914 −0.108829 −0.0544147 0.998518i \(-0.517329\pi\)
−0.0544147 + 0.998518i \(0.517329\pi\)
\(54\) 294.131 + 435.967i 0.741225 + 1.09866i
\(55\) −104.166 −0.255378
\(56\) −114.474 + 198.275i −0.273166 + 0.473137i
\(57\) 259.010 + 207.244i 0.601873 + 0.481581i
\(58\) 299.902 + 519.445i 0.678949 + 1.17597i
\(59\) −307.571 532.728i −0.678683 1.17551i −0.975378 0.220541i \(-0.929218\pi\)
0.296694 0.954973i \(-0.404116\pi\)
\(60\) 146.453 57.2040i 0.315118 0.123083i
\(61\) 67.1535 116.313i 0.140953 0.244137i −0.786903 0.617077i \(-0.788317\pi\)
0.927856 + 0.372939i \(0.121650\pi\)
\(62\) −953.535 −1.95321
\(63\) 808.007 + 252.119i 1.61586 + 0.504191i
\(64\) −239.652 −0.468071
\(65\) −149.828 + 259.509i −0.285905 + 0.495202i
\(66\) 61.1331 401.162i 0.114015 0.748176i
\(67\) 428.767 + 742.646i 0.781824 + 1.35416i 0.930878 + 0.365329i \(0.119044\pi\)
−0.149055 + 0.988829i \(0.547623\pi\)
\(68\) 224.054 + 388.072i 0.399566 + 0.692069i
\(69\) 25.7146 168.742i 0.0448649 0.294408i
\(70\) 293.786 508.852i 0.501631 0.868850i
\(71\) 588.665 0.983968 0.491984 0.870604i \(-0.336272\pi\)
0.491984 + 0.870604i \(0.336272\pi\)
\(72\) −43.2522 192.384i −0.0707962 0.314898i
\(73\) −618.191 −0.991148 −0.495574 0.868566i \(-0.665042\pi\)
−0.495574 + 0.868566i \(0.665042\pi\)
\(74\) −403.655 + 699.152i −0.634108 + 1.09831i
\(75\) 121.001 47.2624i 0.186293 0.0727652i
\(76\) 193.169 + 334.578i 0.291552 + 0.504983i
\(77\) −326.553 565.607i −0.483301 0.837103i
\(78\) −911.481 729.311i −1.32314 1.05869i
\(79\) 172.644 299.029i 0.245873 0.425865i −0.716503 0.697584i \(-0.754259\pi\)
0.962377 + 0.271718i \(0.0875919\pi\)
\(80\) −378.952 −0.529601
\(81\) −658.851 + 312.021i −0.903773 + 0.428012i
\(82\) 531.102 0.715249
\(83\) 546.584 946.711i 0.722836 1.25199i −0.237023 0.971504i \(-0.576172\pi\)
0.959859 0.280484i \(-0.0904950\pi\)
\(84\) 769.728 + 615.889i 0.999812 + 0.799988i
\(85\) 185.115 + 320.629i 0.236218 + 0.409142i
\(86\) −258.474 447.691i −0.324093 0.561346i
\(87\) −774.450 + 302.496i −0.954365 + 0.372770i
\(88\) −76.0746 + 131.765i −0.0921543 + 0.159616i
\(89\) 414.849 0.494089 0.247045 0.969004i \(-0.420541\pi\)
0.247045 + 0.969004i \(0.420541\pi\)
\(90\) 111.002 + 493.732i 0.130007 + 0.578266i
\(91\) −1878.79 −2.16429
\(92\) 99.3979 172.162i 0.112641 0.195100i
\(93\) 199.125 1306.68i 0.222024 1.45695i
\(94\) −62.9366 109.009i −0.0690576 0.119611i
\(95\) 159.598 + 276.431i 0.172362 + 0.298539i
\(96\) 176.663 1159.28i 0.187819 1.23249i
\(97\) 100.705 174.427i 0.105413 0.182581i −0.808494 0.588505i \(-0.799717\pi\)
0.913907 + 0.405924i \(0.133050\pi\)
\(98\) 2398.22 2.47201
\(99\) 536.967 + 167.547i 0.545123 + 0.170092i
\(100\) 151.294 0.151294
\(101\) −132.691 + 229.828i −0.130726 + 0.226424i −0.923957 0.382498i \(-0.875064\pi\)
0.793231 + 0.608921i \(0.208397\pi\)
\(102\) −1343.43 + 524.738i −1.30411 + 0.509380i
\(103\) 263.809 + 456.931i 0.252368 + 0.437114i 0.964177 0.265259i \(-0.0854574\pi\)
−0.711810 + 0.702373i \(0.752124\pi\)
\(104\) 218.843 + 379.048i 0.206340 + 0.357391i
\(105\) 635.956 + 508.852i 0.591075 + 0.472942i
\(106\) 78.7038 136.319i 0.0721168 0.124910i
\(107\) 2084.24 1.88310 0.941549 0.336877i \(-0.109371\pi\)
0.941549 + 0.336877i \(0.109371\pi\)
\(108\) −846.961 + 59.3157i −0.754619 + 0.0528487i
\(109\) 925.651 0.813406 0.406703 0.913560i \(-0.366678\pi\)
0.406703 + 0.913560i \(0.366678\pi\)
\(110\) 195.237 338.161i 0.169229 0.293113i
\(111\) −873.788 699.152i −0.747174 0.597843i
\(112\) −1187.98 2057.65i −1.00227 1.73598i
\(113\) −273.009 472.866i −0.227279 0.393659i 0.729721 0.683745i \(-0.239650\pi\)
−0.957001 + 0.290085i \(0.906316\pi\)
\(114\) −1158.25 + 452.405i −0.951576 + 0.371681i
\(115\) 82.1234 142.242i 0.0665917 0.115340i
\(116\) −968.332 −0.775063
\(117\) 1189.75 1096.75i 0.940109 0.866619i
\(118\) 2305.90 1.79894
\(119\) −1160.64 + 2010.29i −0.894082 + 1.54860i
\(120\) 28.5848 187.577i 0.0217452 0.142694i
\(121\) 448.487 + 776.802i 0.336955 + 0.583623i
\(122\) 251.729 + 436.008i 0.186807 + 0.323560i
\(123\) −110.909 + 727.796i −0.0813033 + 0.533522i
\(124\) 769.701 1333.16i 0.557429 0.965495i
\(125\) 125.000 0.0894427
\(126\) −2332.90 + 2150.53i −1.64946 + 1.52051i
\(127\) −975.972 −0.681918 −0.340959 0.940078i \(-0.610752\pi\)
−0.340959 + 0.940078i \(0.610752\pi\)
\(128\) −453.543 + 785.559i −0.313187 + 0.542455i
\(129\) 667.470 260.710i 0.455562 0.177940i
\(130\) −561.639 972.786i −0.378915 0.656300i
\(131\) 814.614 + 1410.95i 0.543307 + 0.941035i 0.998711 + 0.0507502i \(0.0161612\pi\)
−0.455405 + 0.890285i \(0.650505\pi\)
\(132\) 511.528 + 409.293i 0.337294 + 0.269882i
\(133\) −1000.65 + 1733.18i −0.652387 + 1.12997i
\(134\) −3214.52 −2.07233
\(135\) −699.767 + 49.0071i −0.446121 + 0.0312434i
\(136\) 540.771 0.340961
\(137\) −330.725 + 572.833i −0.206246 + 0.357229i −0.950529 0.310635i \(-0.899458\pi\)
0.744283 + 0.667865i \(0.232792\pi\)
\(138\) 499.600 + 399.749i 0.308180 + 0.246586i
\(139\) −691.495 1197.70i −0.421955 0.730848i 0.574175 0.818732i \(-0.305323\pi\)
−0.996131 + 0.0878842i \(0.971989\pi\)
\(140\) 474.293 + 821.499i 0.286322 + 0.495924i
\(141\) 162.524 63.4810i 0.0970708 0.0379153i
\(142\) −1103.33 + 1911.02i −0.652035 + 1.12936i
\(143\) −1248.56 −0.730139
\(144\) 1953.45 + 609.528i 1.13047 + 0.352736i
\(145\) −800.044 −0.458207
\(146\) 1158.66 2006.87i 0.656793 1.13760i
\(147\) −500.815 + 3286.41i −0.280997 + 1.84393i
\(148\) −651.667 1128.72i −0.361937 0.626894i
\(149\) −1581.75 2739.66i −0.869676 1.50632i −0.862328 0.506349i \(-0.830995\pi\)
−0.00734719 0.999973i \(-0.502339\pi\)
\(150\) −73.3598 + 481.395i −0.0399320 + 0.262038i
\(151\) 1279.40 2215.98i 0.689509 1.19427i −0.282488 0.959271i \(-0.591160\pi\)
0.971997 0.234994i \(-0.0755071\pi\)
\(152\) 466.228 0.248790
\(153\) −438.529 1950.55i −0.231719 1.03067i
\(154\) 2448.21 1.28106
\(155\) 635.934 1101.47i 0.329545 0.570788i
\(156\) 1755.42 685.659i 0.900937 0.351901i
\(157\) −1750.48 3031.92i −0.889832 1.54123i −0.840073 0.542474i \(-0.817488\pi\)
−0.0497594 0.998761i \(-0.515845\pi\)
\(158\) 647.168 + 1120.93i 0.325860 + 0.564407i
\(159\) 170.369 + 136.319i 0.0849758 + 0.0679924i
\(160\) 564.199 977.222i 0.278774 0.482851i
\(161\) 1029.80 0.504097
\(162\) 221.943 2723.68i 0.107639 1.32094i
\(163\) 263.950 0.126835 0.0634176 0.997987i \(-0.479800\pi\)
0.0634176 + 0.997987i \(0.479800\pi\)
\(164\) −428.710 + 742.547i −0.204126 + 0.353556i
\(165\) 422.628 + 338.161i 0.199404 + 0.159550i
\(166\) 2048.90 + 3548.81i 0.957987 + 1.65928i
\(167\) 1794.53 + 3108.21i 0.831524 + 1.44024i 0.896829 + 0.442377i \(0.145865\pi\)
−0.0653054 + 0.997865i \(0.520802\pi\)
\(168\) 1108.12 432.826i 0.508889 0.198770i
\(169\) −697.365 + 1207.87i −0.317417 + 0.549782i
\(170\) −1387.83 −0.626128
\(171\) −378.080 1681.68i −0.169079 0.752053i
\(172\) 834.570 0.369973
\(173\) −185.228 + 320.824i −0.0814024 + 0.140993i −0.903853 0.427844i \(-0.859273\pi\)
0.822450 + 0.568837i \(0.192607\pi\)
\(174\) 469.529 3081.10i 0.204568 1.34240i
\(175\) 391.865 + 678.730i 0.169270 + 0.293184i
\(176\) −789.482 1367.42i −0.338122 0.585644i
\(177\) −481.535 + 3159.89i −0.204488 + 1.34188i
\(178\) −777.545 + 1346.75i −0.327413 + 0.567095i
\(179\) 446.898 0.186607 0.0933036 0.995638i \(-0.470257\pi\)
0.0933036 + 0.995638i \(0.470257\pi\)
\(180\) −779.901 243.349i −0.322947 0.100768i
\(181\) −904.046 −0.371255 −0.185628 0.982620i \(-0.559432\pi\)
−0.185628 + 0.982620i \(0.559432\pi\)
\(182\) 3521.38 6099.21i 1.43419 2.48409i
\(183\) −650.051 + 253.907i −0.262586 + 0.102565i
\(184\) −119.952 207.764i −0.0480598 0.0832420i
\(185\) −538.413 932.559i −0.213973 0.370611i
\(186\) 3868.72 + 3095.51i 1.52510 + 1.22029i
\(187\) −771.311 + 1335.95i −0.301625 + 0.522430i
\(188\) 203.211 0.0788336
\(189\) −2459.81 3645.99i −0.946693 1.40321i
\(190\) −1196.52 −0.456868
\(191\) 299.793 519.257i 0.113572 0.196713i −0.803636 0.595121i \(-0.797104\pi\)
0.917208 + 0.398409i \(0.130437\pi\)
\(192\) 972.326 + 777.995i 0.365477 + 0.292432i
\(193\) 2206.87 + 3822.40i 0.823076 + 1.42561i 0.903381 + 0.428839i \(0.141077\pi\)
−0.0803048 + 0.996770i \(0.525589\pi\)
\(194\) 377.500 + 653.850i 0.139706 + 0.241978i
\(195\) 1450.34 566.497i 0.532622 0.208039i
\(196\) −1935.86 + 3353.01i −0.705490 + 1.22194i
\(197\) −4807.15 −1.73855 −0.869277 0.494325i \(-0.835415\pi\)
−0.869277 + 0.494325i \(0.835415\pi\)
\(198\) −1550.35 + 1429.15i −0.556456 + 0.512956i
\(199\) 313.833 0.111794 0.0558970 0.998437i \(-0.482198\pi\)
0.0558970 + 0.998437i \(0.482198\pi\)
\(200\) 91.2897 158.118i 0.0322758 0.0559033i
\(201\) 671.281 4405.02i 0.235565 1.54580i
\(202\) −497.403 861.527i −0.173253 0.300083i
\(203\) −2508.07 4344.11i −0.867153 1.50195i
\(204\) 350.780 2301.86i 0.120390 0.790012i
\(205\) −354.204 + 613.499i −0.120676 + 0.209018i
\(206\) −1977.81 −0.668935
\(207\) −652.127 + 601.149i −0.218966 + 0.201849i
\(208\) −4542.20 −1.51416
\(209\) −664.989 + 1151.79i −0.220087 + 0.381202i
\(210\) −2843.88 + 1110.80i −0.934505 + 0.365013i
\(211\) −1219.41 2112.08i −0.397856 0.689106i 0.595605 0.803277i \(-0.296912\pi\)
−0.993461 + 0.114171i \(0.963579\pi\)
\(212\) 127.061 + 220.075i 0.0411630 + 0.0712964i
\(213\) −2388.36 1911.02i −0.768298 0.614745i
\(214\) −3906.46 + 6766.19i −1.24785 + 2.16134i
\(215\) 689.529 0.218723
\(216\) −449.060 + 920.959i −0.141457 + 0.290108i
\(217\) 7974.40 2.49464
\(218\) −1734.93 + 3004.99i −0.539011 + 0.933594i
\(219\) 2508.15 + 2006.87i 0.773904 + 0.619230i
\(220\) 315.194 + 545.933i 0.0965927 + 0.167303i
\(221\) 2218.83 + 3843.12i 0.675360 + 1.16976i
\(222\) 3907.42 1526.22i 1.18130 0.461410i
\(223\) 1166.71 2020.79i 0.350352 0.606827i −0.635959 0.771722i \(-0.719395\pi\)
0.986311 + 0.164896i \(0.0527288\pi\)
\(224\) 7074.87 2.11031
\(225\) −644.361 201.057i −0.190922 0.0595725i
\(226\) 2046.79 0.602435
\(227\) 1361.85 2358.79i 0.398189 0.689684i −0.595313 0.803494i \(-0.702972\pi\)
0.993503 + 0.113810i \(0.0363054\pi\)
\(228\) 302.426 1984.56i 0.0878451 0.576449i
\(229\) 1657.08 + 2870.15i 0.478179 + 0.828230i 0.999687 0.0250162i \(-0.00796375\pi\)
−0.521508 + 0.853246i \(0.674630\pi\)
\(230\) 307.845 + 533.203i 0.0882552 + 0.152863i
\(231\) −511.255 + 3354.91i −0.145619 + 0.955571i
\(232\) −584.286 + 1012.01i −0.165346 + 0.286388i
\(233\) −3175.44 −0.892833 −0.446416 0.894825i \(-0.647300\pi\)
−0.446416 + 0.894825i \(0.647300\pi\)
\(234\) 1330.50 + 5917.98i 0.371698 + 1.65329i
\(235\) 167.895 0.0466054
\(236\) −1861.34 + 3223.93i −0.513402 + 0.889238i
\(237\) −1671.21 + 652.767i −0.458046 + 0.178910i
\(238\) −4350.74 7535.70i −1.18494 2.05238i
\(239\) 123.062 + 213.150i 0.0333064 + 0.0576884i 0.882198 0.470878i \(-0.156063\pi\)
−0.848892 + 0.528567i \(0.822730\pi\)
\(240\) 1537.50 + 1230.21i 0.413521 + 0.330874i
\(241\) 2643.87 4579.31i 0.706666 1.22398i −0.259421 0.965764i \(-0.583532\pi\)
0.966087 0.258217i \(-0.0831349\pi\)
\(242\) −3362.36 −0.893144
\(243\) 3686.04 + 872.919i 0.973086 + 0.230444i
\(244\) −812.791 −0.213252
\(245\) −1599.43 + 2770.29i −0.417076 + 0.722397i
\(246\) −2154.81 1724.14i −0.558478 0.446860i
\(247\) 1912.97 + 3313.36i 0.492791 + 0.853539i
\(248\) −928.867 1608.84i −0.237835 0.411943i
\(249\) −5290.98 + 2066.63i −1.34659 + 0.525973i
\(250\) −234.285 + 405.794i −0.0592700 + 0.102659i
\(251\) 2821.23 0.709459 0.354730 0.934969i \(-0.384573\pi\)
0.354730 + 0.934969i \(0.384573\pi\)
\(252\) −1123.58 4997.62i −0.280868 1.24929i
\(253\) 684.361 0.170061
\(254\) 1829.25 3168.35i 0.451879 0.782677i
\(255\) 289.818 1901.82i 0.0711729 0.467044i
\(256\) −2658.74 4605.08i −0.649107 1.12429i
\(257\) 942.096 + 1631.76i 0.228663 + 0.396056i 0.957412 0.288725i \(-0.0932313\pi\)
−0.728749 + 0.684781i \(0.759898\pi\)
\(258\) −404.670 + 2655.49i −0.0976497 + 0.640789i
\(259\) 3375.76 5846.99i 0.809883 1.40276i
\(260\) 1813.44 0.432556
\(261\) 4124.14 + 1286.84i 0.978075 + 0.305185i
\(262\) −6107.27 −1.44011
\(263\) −276.506 + 478.922i −0.0648292 + 0.112287i −0.896618 0.442804i \(-0.853984\pi\)
0.831789 + 0.555092i \(0.187317\pi\)
\(264\) 736.409 287.638i 0.171677 0.0670563i
\(265\) 104.979 + 181.828i 0.0243350 + 0.0421495i
\(266\) −3751.00 6496.93i −0.864620 1.49757i
\(267\) −1683.14 1346.75i −0.385793 0.308688i
\(268\) 2594.78 4494.30i 0.591424 1.02438i
\(269\) 3363.48 0.762361 0.381180 0.924501i \(-0.375518\pi\)
0.381180 + 0.924501i \(0.375518\pi\)
\(270\) 1152.47 2363.54i 0.259766 0.532743i
\(271\) −3333.85 −0.747295 −0.373648 0.927571i \(-0.621893\pi\)
−0.373648 + 0.927571i \(0.621893\pi\)
\(272\) −2805.99 + 4860.11i −0.625507 + 1.08341i
\(273\) 7622.70 + 6099.21i 1.68991 + 1.35217i
\(274\) −1239.75 2147.30i −0.273342 0.473443i
\(275\) 260.416 + 451.054i 0.0571043 + 0.0989076i
\(276\) −962.181 + 375.823i −0.209842 + 0.0819633i
\(277\) 2693.63 4665.50i 0.584275 1.01199i −0.410690 0.911775i \(-0.634712\pi\)
0.994965 0.100220i \(-0.0319546\pi\)
\(278\) 5184.23 1.11845
\(279\) −5049.83 + 4655.08i −1.08360 + 0.998897i
\(280\) 1144.74 0.244327
\(281\) −1858.35 + 3218.76i −0.394519 + 0.683327i −0.993040 0.117781i \(-0.962422\pi\)
0.598521 + 0.801107i \(0.295755\pi\)
\(282\) −98.5340 + 646.591i −0.0208071 + 0.136539i
\(283\) −1384.38 2397.81i −0.290787 0.503658i 0.683209 0.730223i \(-0.260584\pi\)
−0.973996 + 0.226565i \(0.927250\pi\)
\(284\) −1781.23 3085.17i −0.372170 0.644617i
\(285\) 249.867 1639.66i 0.0519328 0.340789i
\(286\) 2340.16 4053.27i 0.483833 0.838024i
\(287\) −4441.60 −0.913516
\(288\) −4480.20 + 4129.98i −0.916662 + 0.845004i
\(289\) 569.810 0.115980
\(290\) 1499.51 2597.23i 0.303635 0.525911i
\(291\) −974.836 + 380.766i −0.196378 + 0.0767041i
\(292\) 1870.57 + 3239.91i 0.374886 + 0.649321i
\(293\) 1740.00 + 3013.76i 0.346934 + 0.600907i 0.985703 0.168491i \(-0.0538895\pi\)
−0.638769 + 0.769398i \(0.720556\pi\)
\(294\) −9730.17 7785.48i −1.93019 1.54442i
\(295\) −1537.85 + 2663.64i −0.303516 + 0.525706i
\(296\) −1572.85 −0.308852
\(297\) −1634.68 2422.96i −0.319374 0.473382i
\(298\) 11858.6 2.30519
\(299\) 984.348 1704.94i 0.190389 0.329764i
\(300\) −613.834 491.152i −0.118132 0.0945223i
\(301\) 2161.62 + 3744.03i 0.413932 + 0.716951i
\(302\) 4795.91 + 8306.75i 0.913819 + 1.58278i
\(303\) 1284.47 501.705i 0.243533 0.0951229i
\(304\) −2419.19 + 4190.16i −0.456415 + 0.790534i
\(305\) −671.535 −0.126072
\(306\) 7154.11 + 2232.27i 1.33651 + 0.417027i
\(307\) −1810.36 −0.336555 −0.168278 0.985740i \(-0.553821\pi\)
−0.168278 + 0.985740i \(0.553821\pi\)
\(308\) −1976.22 + 3422.91i −0.365602 + 0.633241i
\(309\) 413.021 2710.29i 0.0760387 0.498975i
\(310\) 2383.84 + 4128.93i 0.436751 + 0.756476i
\(311\) 443.649 + 768.422i 0.0808907 + 0.140107i 0.903633 0.428308i \(-0.140890\pi\)
−0.822742 + 0.568415i \(0.807557\pi\)
\(312\) 342.623 2248.33i 0.0621706 0.407970i
\(313\) 1107.57 1918.36i 0.200011 0.346429i −0.748521 0.663111i \(-0.769236\pi\)
0.948532 + 0.316682i \(0.102569\pi\)
\(314\) 13123.6 2.35862
\(315\) −928.310 4129.07i −0.166046 0.738562i
\(316\) −2089.60 −0.371990
\(317\) 329.023 569.884i 0.0582958 0.100971i −0.835405 0.549635i \(-0.814767\pi\)
0.893700 + 0.448664i \(0.148100\pi\)
\(318\) −761.859 + 297.578i −0.134349 + 0.0524760i
\(319\) −1666.76 2886.91i −0.292540 0.506695i
\(320\) 599.130 + 1037.72i 0.104664 + 0.181283i
\(321\) −8456.28 6766.19i −1.47035 1.17649i
\(322\) −1930.14 + 3343.10i −0.334045 + 0.578582i
\(323\) 4727.03 0.814299
\(324\) 3628.88 + 2508.88i 0.622237 + 0.430192i
\(325\) 1498.28 0.255721
\(326\) −494.717 + 856.875i −0.0840485 + 0.145576i
\(327\) −3755.59 3004.99i −0.635121 0.508184i
\(328\) 517.362 + 896.098i 0.0870931 + 0.150850i
\(329\) 526.337 + 911.643i 0.0882003 + 0.152767i
\(330\) −1889.92 + 738.191i −0.315262 + 0.123140i
\(331\) −2638.22 + 4569.53i −0.438096 + 0.758804i −0.997543 0.0700619i \(-0.977680\pi\)
0.559447 + 0.828866i \(0.311014\pi\)
\(332\) −6615.57 −1.09360
\(333\) 1275.48 + 5673.25i 0.209897 + 0.933610i
\(334\) −13453.8 −2.20407
\(335\) 2143.83 3713.23i 0.349642 0.605598i
\(336\) −1859.92 + 12205.0i −0.301984 + 1.98165i
\(337\) 1680.64 + 2910.95i 0.271662 + 0.470532i 0.969288 0.245930i \(-0.0790934\pi\)
−0.697626 + 0.716462i \(0.745760\pi\)
\(338\) −2614.12 4527.78i −0.420678 0.728636i
\(339\) −427.426 + 2804.82i −0.0684796 + 0.449371i
\(340\) 1120.27 1940.36i 0.178691 0.309503i
\(341\) 5299.44 0.841586
\(342\) 6167.95 + 1924.56i 0.975217 + 0.304293i
\(343\) −9303.52 −1.46456
\(344\) 503.575 872.218i 0.0789272 0.136706i
\(345\) −794.962 + 310.508i −0.124056 + 0.0484556i
\(346\) −694.339 1202.63i −0.107884 0.186861i
\(347\) −4677.77 8102.13i −0.723677 1.25344i −0.959516 0.281653i \(-0.909117\pi\)
0.235840 0.971792i \(-0.424216\pi\)
\(348\) 3928.75 + 3143.55i 0.605182 + 0.484229i
\(349\) −3519.65 + 6096.22i −0.539836 + 0.935023i 0.459077 + 0.888397i \(0.348180\pi\)
−0.998912 + 0.0466263i \(0.985153\pi\)
\(350\) −2937.86 −0.448672
\(351\) −8387.55 + 587.410i −1.27548 + 0.0893266i
\(352\) 4701.65 0.711929
\(353\) −2101.09 + 3639.19i −0.316798 + 0.548710i −0.979818 0.199891i \(-0.935941\pi\)
0.663020 + 0.748602i \(0.269274\pi\)
\(354\) −9355.58 7485.76i −1.40464 1.12391i
\(355\) −1471.66 2549.00i −0.220022 0.381089i
\(356\) −1255.28 2174.21i −0.186881 0.323688i
\(357\) 11235.1 4388.37i 1.66562 0.650581i
\(358\) −837.612 + 1450.79i −0.123657 + 0.214180i
\(359\) 588.013 0.0864461 0.0432230 0.999065i \(-0.486237\pi\)
0.0432230 + 0.999065i \(0.486237\pi\)
\(360\) −724.915 + 668.247i −0.106129 + 0.0978325i
\(361\) −2783.58 −0.405828
\(362\) 1694.44 2934.85i 0.246016 0.426112i
\(363\) 702.155 4607.62i 0.101525 0.666218i
\(364\) 5684.97 + 9846.66i 0.818608 + 1.41787i
\(365\) 1545.48 + 2676.85i 0.221627 + 0.383870i
\(366\) 394.109 2586.19i 0.0562853 0.369350i
\(367\) 3892.55 6742.10i 0.553650 0.958950i −0.444357 0.895850i \(-0.646568\pi\)
0.998007 0.0631004i \(-0.0200988\pi\)
\(368\) 2489.67 0.352671
\(369\) 2812.67 2592.79i 0.396806 0.365787i
\(370\) 4036.55 0.567163
\(371\) −658.198 + 1140.03i −0.0921077 + 0.159535i
\(372\) −7450.77 + 2910.23i −1.03845 + 0.405615i
\(373\) 3912.02 + 6775.81i 0.543047 + 0.940585i 0.998727 + 0.0504412i \(0.0160627\pi\)
−0.455680 + 0.890144i \(0.650604\pi\)
\(374\) −2891.31 5007.90i −0.399749 0.692385i
\(375\) −507.155 405.794i −0.0698383 0.0558803i
\(376\) 122.617 212.378i 0.0168177 0.0291292i
\(377\) −9589.49 −1.31004
\(378\) 16446.5 1151.81i 2.23788 0.156727i
\(379\) −4679.90 −0.634275 −0.317138 0.948379i \(-0.602722\pi\)
−0.317138 + 0.948379i \(0.602722\pi\)
\(380\) 965.843 1672.89i 0.130386 0.225835i
\(381\) 3959.75 + 3168.35i 0.532452 + 0.426036i
\(382\) 1123.79 + 1946.47i 0.150519 + 0.260707i
\(383\) 3363.82 + 5826.31i 0.448782 + 0.777313i 0.998307 0.0581644i \(-0.0185247\pi\)
−0.549525 + 0.835477i \(0.685191\pi\)
\(384\) 4390.33 1714.84i 0.583446 0.227891i
\(385\) −1632.77 + 2828.04i −0.216139 + 0.374364i
\(386\) −16545.2 −2.18167
\(387\) −3554.44 1109.08i −0.466880 0.145679i
\(388\) −1218.89 −0.159483
\(389\) 2386.44 4133.43i 0.311047 0.538749i −0.667542 0.744572i \(-0.732654\pi\)
0.978589 + 0.205823i \(0.0659871\pi\)
\(390\) −879.306 + 5770.10i −0.114168 + 0.749181i
\(391\) −1216.18 2106.49i −0.157302 0.272455i
\(392\) 2336.18 + 4046.38i 0.301007 + 0.521360i
\(393\) 1275.37 8369.10i 0.163699 1.07421i
\(394\) 9009.95 15605.7i 1.15207 1.99544i
\(395\) −1726.44 −0.219916
\(396\) −746.681 3321.20i −0.0947529 0.421456i
\(397\) −4688.95 −0.592775 −0.296388 0.955068i \(-0.595782\pi\)
−0.296388 + 0.955068i \(0.595782\pi\)
\(398\) −588.211 + 1018.81i −0.0740813 + 0.128313i
\(399\) 9686.39 3783.45i 1.21535 0.474711i
\(400\) 947.379 + 1640.91i 0.118422 + 0.205114i
\(401\) −766.916 1328.34i −0.0955061 0.165421i 0.814314 0.580425i \(-0.197114\pi\)
−0.909820 + 0.415004i \(0.863780\pi\)
\(402\) 13042.1 + 10435.5i 1.61811 + 1.29471i
\(403\) 7622.43 13202.4i 0.942185 1.63191i
\(404\) 1606.03 0.197780
\(405\) 2998.22 + 2072.86i 0.367858 + 0.254323i
\(406\) 18803.3 2.29851
\(407\) 2243.38 3885.66i 0.273220 0.473230i
\(408\) −2194.04 1755.53i −0.266228 0.213019i
\(409\) 4389.41 + 7602.68i 0.530666 + 0.919140i 0.999360 + 0.0357796i \(0.0113914\pi\)
−0.468694 + 0.883361i \(0.655275\pi\)
\(410\) −1327.76 2299.74i −0.159935 0.277015i
\(411\) 3201.45 1250.47i 0.384224 0.150076i
\(412\) 1596.50 2765.23i 0.190908 0.330662i
\(413\) −19284.2 −2.29761
\(414\) −729.271 3243.76i −0.0865742 0.385077i
\(415\) −5465.84 −0.646524
\(416\) 6762.61 11713.2i 0.797029 1.38050i
\(417\) −1082.61 + 7104.21i −0.127136 + 0.834279i
\(418\) −2492.75 4317.58i −0.291686 0.505214i
\(419\) 2138.02 + 3703.17i 0.249282 + 0.431770i 0.963327 0.268330i \(-0.0864719\pi\)
−0.714044 + 0.700100i \(0.753139\pi\)
\(420\) 742.557 4872.74i 0.0862692 0.566108i
\(421\) −7231.64 + 12525.6i −0.837169 + 1.45002i 0.0550823 + 0.998482i \(0.482458\pi\)
−0.892252 + 0.451538i \(0.850875\pi\)
\(422\) 9142.07 1.05457
\(423\) −865.480 270.052i −0.0994825 0.0310411i
\(424\) 306.671 0.0351256
\(425\) 925.575 1603.14i 0.105640 0.182974i
\(426\) 10680.3 4171.66i 1.21470 0.474455i
\(427\) −2105.21 3646.32i −0.238590 0.413250i
\(428\) −6306.65 10923.4i −0.712251 1.23366i
\(429\) 5065.71 + 4053.27i 0.570105 + 0.456163i
\(430\) −1292.37 + 2238.45i −0.144939 + 0.251042i
\(431\) −2208.11 −0.246777 −0.123389 0.992358i \(-0.539376\pi\)
−0.123389 + 0.992358i \(0.539376\pi\)
\(432\) −5946.89 8814.60i −0.662314 0.981696i
\(433\) −10062.3 −1.11677 −0.558386 0.829581i \(-0.688579\pi\)
−0.558386 + 0.829581i \(0.688579\pi\)
\(434\) −14946.3 + 25887.7i −1.65310 + 2.86325i
\(435\) 3245.97 + 2597.23i 0.357776 + 0.286270i
\(436\) −2800.90 4851.30i −0.307658 0.532879i
\(437\) −1048.54 1816.12i −0.114779 0.198803i
\(438\) −11216.0 + 4380.90i −1.22356 + 0.477917i
\(439\) −6658.62 + 11533.1i −0.723915 + 1.25386i 0.235504 + 0.971873i \(0.424326\pi\)
−0.959419 + 0.281984i \(0.909008\pi\)
\(440\) 760.746 0.0824253
\(441\) 12700.8 11707.9i 1.37142 1.26422i
\(442\) −16634.8 −1.79013
\(443\) 7137.55 12362.6i 0.765497 1.32588i −0.174486 0.984660i \(-0.555826\pi\)
0.939983 0.341220i \(-0.110840\pi\)
\(444\) −1020.26 + 6695.03i −0.109052 + 0.715613i
\(445\) −1037.12 1796.35i −0.110482 0.191360i
\(446\) 4373.47 + 7575.08i 0.464327 + 0.804238i
\(447\) −2476.39 + 16250.4i −0.262034 + 1.71950i
\(448\) −3756.45 + 6506.36i −0.396151 + 0.686153i
\(449\) −1690.02 −0.177632 −0.0888162 0.996048i \(-0.528308\pi\)
−0.0888162 + 0.996048i \(0.528308\pi\)
\(450\) 1860.42 1714.98i 0.194891 0.179656i
\(451\) −2951.69 −0.308181
\(452\) −1652.18 + 2861.66i −0.171929 + 0.297791i
\(453\) −12384.7 + 4837.39i −1.28451 + 0.501723i
\(454\) 5104.97 + 8842.07i 0.527727 + 0.914051i
\(455\) 4696.97 + 8135.39i 0.483950 + 0.838227i
\(456\) −1891.60 1513.54i −0.194259 0.155434i
\(457\) 3332.19 5771.53i 0.341080 0.590767i −0.643554 0.765401i \(-0.722541\pi\)
0.984634 + 0.174633i \(0.0558741\pi\)
\(458\) −12423.3 −1.26748
\(459\) −4552.97 + 9337.49i −0.462994 + 0.949535i
\(460\) −993.979 −0.100749
\(461\) −833.712 + 1444.03i −0.0842295 + 0.145890i −0.905063 0.425278i \(-0.860176\pi\)
0.820833 + 0.571168i \(0.193510\pi\)
\(462\) −9932.99 7947.76i −1.00027 0.800354i
\(463\) 2916.01 + 5050.68i 0.292697 + 0.506966i 0.974446 0.224620i \(-0.0721140\pi\)
−0.681750 + 0.731585i \(0.738781\pi\)
\(464\) −6063.56 10502.4i −0.606668 1.05078i
\(465\) −6155.89 + 2404.46i −0.613920 + 0.239794i
\(466\) 5951.67 10308.6i 0.591644 1.02476i
\(467\) 17410.6 1.72519 0.862597 0.505892i \(-0.168837\pi\)
0.862597 + 0.505892i \(0.168837\pi\)
\(468\) −9348.06 2916.84i −0.923321 0.288100i
\(469\) 26883.0 2.64678
\(470\) −314.683 + 545.047i −0.0308835 + 0.0534918i
\(471\) −2740.57 + 17983.9i −0.268108 + 1.75935i
\(472\) 2246.24 + 3890.61i 0.219050 + 0.379406i
\(473\) 1436.52 + 2488.12i 0.139643 + 0.241869i
\(474\) 1013.21 6648.81i 0.0981822 0.644283i
\(475\) 797.988 1382.16i 0.0770825 0.133511i
\(476\) 14047.8 1.35269
\(477\) −248.689 1106.16i −0.0238715 0.106179i
\(478\) −922.614 −0.0882832
\(479\) 1639.67 2839.99i 0.156406 0.270903i −0.777164 0.629298i \(-0.783343\pi\)
0.933570 + 0.358395i \(0.116676\pi\)
\(480\) −5461.50 + 2133.23i −0.519338 + 0.202851i
\(481\) −6453.53 11177.8i −0.611758 1.05960i
\(482\) 9910.71 + 17165.9i 0.936557 + 1.62216i
\(483\) −4178.15 3343.10i −0.393607 0.314940i
\(484\) 2714.13 4701.00i 0.254895 0.441492i
\(485\) −1007.05 −0.0942844
\(486\) −9742.49 + 10330.1i −0.909318 + 0.964162i
\(487\) −10506.7 −0.977624 −0.488812 0.872389i \(-0.662570\pi\)
−0.488812 + 0.872389i \(0.662570\pi\)
\(488\) −490.433 + 849.456i −0.0454936 + 0.0787972i
\(489\) −1070.91 856.875i −0.0990350 0.0792417i
\(490\) −5995.56 10384.6i −0.552759 0.957406i
\(491\) 7132.25 + 12353.4i 0.655548 + 1.13544i 0.981756 + 0.190144i \(0.0608956\pi\)
−0.326208 + 0.945298i \(0.605771\pi\)
\(492\) 4149.95 1620.95i 0.380272 0.148532i
\(493\) −5924.01 + 10260.7i −0.541184 + 0.937359i
\(494\) −14341.8 −1.30621
\(495\) −616.914 2744.00i −0.0560167 0.249159i
\(496\) 19279.1 1.74527
\(497\) 9227.09 15981.8i 0.832780 1.44242i
\(498\) 3207.78 21049.8i 0.288643 1.89411i
\(499\) −4723.70 8181.68i −0.423771 0.733993i 0.572534 0.819881i \(-0.305961\pi\)
−0.996305 + 0.0858882i \(0.972627\pi\)
\(500\) −378.234 655.120i −0.0338303 0.0585957i
\(501\) 2809.52 18436.4i 0.250539 1.64407i
\(502\) −5287.78 + 9158.70i −0.470130 + 0.814288i
\(503\) 14579.2 1.29235 0.646177 0.763188i \(-0.276367\pi\)
0.646177 + 0.763188i \(0.276367\pi\)
\(504\) −5901.02 1841.27i −0.521532 0.162732i
\(505\) 1326.91 0.116925
\(506\) −1282.69 + 2221.68i −0.112692 + 0.195189i
\(507\) 6750.55 2636.73i 0.591327 0.230969i
\(508\) 2953.17 + 5115.03i 0.257924 + 0.446738i
\(509\) −4205.32 7283.83i −0.366204 0.634283i 0.622765 0.782409i \(-0.286009\pi\)
−0.988969 + 0.148126i \(0.952676\pi\)
\(510\) 5630.76 + 4505.39i 0.488891 + 0.391180i
\(511\) −9689.89 + 16783.4i −0.838856 + 1.45294i
\(512\) 12676.3 1.09417
\(513\) −3925.36 + 8050.35i −0.337834 + 0.692849i
\(514\) −7063.02 −0.606102
\(515\) 1319.04 2284.65i 0.112862 0.195483i
\(516\) −3386.05 2709.31i −0.288881 0.231145i
\(517\) 349.781 + 605.838i 0.0297550 + 0.0515372i
\(518\) 12654.3 + 21917.8i 1.07335 + 1.85910i
\(519\) 1793.02 700.345i 0.151647 0.0592327i
\(520\) 1094.22 1895.24i 0.0922781 0.159830i
\(521\) 10058.1 0.845781 0.422890 0.906181i \(-0.361016\pi\)
0.422890 + 0.906181i \(0.361016\pi\)
\(522\) −11907.3 + 10976.5i −0.998409 + 0.920361i
\(523\) 20006.3 1.67269 0.836344 0.548205i \(-0.184688\pi\)
0.836344 + 0.548205i \(0.184688\pi\)
\(524\) 4929.83 8538.72i 0.410994 0.711862i
\(525\) 613.507 4025.90i 0.0510012 0.334676i
\(526\) −1036.50 1795.27i −0.0859192 0.148817i
\(527\) −9417.67 16311.9i −0.778444 1.34830i
\(528\) −1236.02 + 8110.90i −0.101877 + 0.668525i
\(529\) 5543.96 9602.42i 0.455655 0.789218i
\(530\) −787.038 −0.0645033
\(531\) 12211.8 11257.2i 0.998019 0.920001i
\(532\) 12111.4 0.987019
\(533\) −4245.56 + 7353.52i −0.345020 + 0.597592i
\(534\) 7526.70 2939.89i 0.609948 0.238243i
\(535\) −5210.61 9025.04i −0.421073 0.729320i
\(536\) −3131.36 5423.67i −0.252340 0.437065i
\(537\) −1813.17 1450.79i −0.145706 0.116585i
\(538\) −6304.11 + 10919.0i −0.505185 + 0.875006i
\(539\) −13328.5 −1.06512
\(540\) 2374.25 + 3519.16i 0.189206 + 0.280445i
\(541\) −1884.15 −0.149734 −0.0748668 0.997194i \(-0.523853\pi\)
−0.0748668 + 0.997194i \(0.523853\pi\)
\(542\) 6248.58 10822.9i 0.495202 0.857715i
\(543\) 3667.93 + 2934.85i 0.289882 + 0.231946i
\(544\) −8355.34 14471.9i −0.658515 1.14058i
\(545\) −2314.13 4008.19i −0.181883 0.315031i
\(546\) −34087.3 + 13314.3i −2.67180 + 1.04359i
\(547\) 8998.24 15585.4i 0.703358 1.21825i −0.263922 0.964544i \(-0.585016\pi\)
0.967281 0.253708i \(-0.0816504\pi\)
\(548\) 4002.93 0.312038
\(549\) 3461.68 + 1080.14i 0.269109 + 0.0839691i
\(550\) −1952.37 −0.151363
\(551\) −5107.40 + 8846.28i −0.394887 + 0.683964i
\(552\) −187.798 + 1232.35i −0.0144805 + 0.0950226i
\(553\) −5412.25 9374.30i −0.416189 0.720860i
\(554\) 10097.2 + 17488.9i 0.774351 + 1.34121i
\(555\) −842.944 + 5531.49i −0.0644702 + 0.423061i
\(556\) −4184.75 + 7248.19i −0.319196 + 0.552863i
\(557\) −3615.76 −0.275054 −0.137527 0.990498i \(-0.543915\pi\)
−0.137527 + 0.990498i \(0.543915\pi\)
\(558\) −5647.21 25118.5i −0.428433 1.90564i
\(559\) 8264.84 0.625341
\(560\) −5939.91 + 10288.2i −0.448227 + 0.776352i
\(561\) 7466.36 2916.32i 0.561907 0.219478i
\(562\) −6966.14 12065.7i −0.522863 0.905625i
\(563\) −7410.91 12836.1i −0.554765 0.960881i −0.997922 0.0644370i \(-0.979475\pi\)
0.443157 0.896444i \(-0.353858\pi\)
\(564\) −824.478 659.696i −0.0615546 0.0492522i
\(565\) −1365.05 + 2364.33i −0.101642 + 0.176050i
\(566\) 10378.9 0.770771
\(567\) −1856.11 + 22778.1i −0.137477 + 1.68710i
\(568\) −4299.13 −0.317583
\(569\) −11224.7 + 19441.8i −0.827005 + 1.43241i 0.0733726 + 0.997305i \(0.476624\pi\)
−0.900377 + 0.435110i \(0.856710\pi\)
\(570\) 4854.58 + 3884.34i 0.356730 + 0.285433i
\(571\) 8006.75 + 13868.1i 0.586817 + 1.01640i 0.994646 + 0.103338i \(0.0329523\pi\)
−0.407830 + 0.913058i \(0.633714\pi\)
\(572\) 3777.98 + 6543.66i 0.276163 + 0.478329i
\(573\) −2902.03 + 1133.52i −0.211577 + 0.0826410i
\(574\) 8324.81 14419.0i 0.605350 1.04850i
\(575\) −821.234 −0.0595615
\(576\) −1419.31 6313.03i −0.102670 0.456672i
\(577\) 3096.97 0.223446 0.111723 0.993739i \(-0.464363\pi\)
0.111723 + 0.993739i \(0.464363\pi\)
\(578\) −1067.99 + 1849.81i −0.0768553 + 0.133117i
\(579\) 3455.09 22672.7i 0.247994 1.62736i
\(580\) 2420.83 + 4193.00i 0.173309 + 0.300181i
\(581\) −17135.0 29678.6i −1.22354 2.11924i
\(582\) 591.018 3878.33i 0.0420936 0.276223i
\(583\) −437.410 + 757.616i −0.0310732 + 0.0538203i
\(584\) 4514.76 0.319901
\(585\) −7723.44 2409.91i −0.545855 0.170321i
\(586\) −13045.0 −0.919595
\(587\) −12312.4 + 21325.7i −0.865734 + 1.49950i 0.000582275 1.00000i \(0.499815\pi\)
−0.866316 + 0.499496i \(0.833519\pi\)
\(588\) 18739.3 7319.49i 1.31428 0.513351i
\(589\) −8119.48 14063.3i −0.568009 0.983820i
\(590\) −5764.75 9984.83i −0.402256 0.696727i
\(591\) 19503.8 + 15605.7i 1.35749 + 1.08618i
\(592\) 8161.30 14135.8i 0.566601 0.981381i
\(593\) 27128.8 1.87866 0.939330 0.343014i \(-0.111448\pi\)
0.939330 + 0.343014i \(0.111448\pi\)
\(594\) 10929.7 765.442i 0.754965 0.0528729i
\(595\) 11606.4 0.799691
\(596\) −9572.32 + 16579.7i −0.657881 + 1.13948i
\(597\) −1273.29 1018.81i −0.0872906 0.0698445i
\(598\) 3689.89 + 6391.08i 0.252326 + 0.437042i
\(599\) −2815.87 4877.24i −0.192076 0.332685i 0.753862 0.657033i \(-0.228189\pi\)
−0.945938 + 0.324347i \(0.894855\pi\)
\(600\) −883.692 + 345.166i −0.0601276 + 0.0234855i
\(601\) 7375.88 12775.4i 0.500613 0.867087i −0.499387 0.866379i \(-0.666441\pi\)
1.00000 0.000707853i \(-0.000225317\pi\)
\(602\) −16205.9 −1.09718
\(603\) −17023.8 + 15693.0i −1.14969 + 1.05982i
\(604\) −15485.2 −1.04318
\(605\) 2242.43 3884.01i 0.150691 0.261004i
\(606\) −778.738 + 5110.16i −0.0522014 + 0.342552i
\(607\) 7391.04 + 12801.7i 0.494222 + 0.856018i 0.999978 0.00665872i \(-0.00211955\pi\)
−0.505756 + 0.862677i \(0.668786\pi\)
\(608\) −7203.59 12477.0i −0.480500 0.832251i
\(609\) −3926.66 + 25767.2i −0.261275 + 1.71451i
\(610\) 1258.65 2180.04i 0.0835427 0.144700i
\(611\) 2012.43 0.133247
\(612\) −8895.85 + 8200.44i −0.587571 + 0.541639i
\(613\) 4947.28 0.325969 0.162984 0.986629i \(-0.447888\pi\)
0.162984 + 0.986629i \(0.447888\pi\)
\(614\) 3393.12 5877.06i 0.223021 0.386284i
\(615\) 3428.72 1339.24i 0.224812 0.0878104i
\(616\) 2384.88 + 4130.73i 0.155989 + 0.270181i
\(617\) 1871.82 + 3242.09i 0.122134 + 0.211543i 0.920609 0.390485i \(-0.127693\pi\)
−0.798475 + 0.602028i \(0.794360\pi\)
\(618\) 8024.45 + 6420.67i 0.522315 + 0.417924i
\(619\) −3069.37 + 5316.30i −0.199303 + 0.345202i −0.948303 0.317368i \(-0.897201\pi\)
0.749000 + 0.662570i \(0.230534\pi\)
\(620\) −7697.01 −0.498580
\(621\) 4597.38 321.971i 0.297080 0.0208055i
\(622\) −3326.09 −0.214412
\(623\) 6502.59 11262.8i 0.418171 0.724294i
\(624\) 18428.8 + 14745.6i 1.18228 + 0.945986i
\(625\) −312.500 541.266i −0.0200000 0.0346410i
\(626\) 4151.79 + 7191.11i 0.265078 + 0.459128i
\(627\) 6437.15 2514.32i 0.410008 0.160147i
\(628\) −10593.5 + 18348.4i −0.673129 + 1.16589i
\(629\) −15946.9 −1.01088
\(630\) 15144.3 + 4725.43i 0.957722 + 0.298834i
\(631\) −5548.00 −0.350019 −0.175010 0.984567i \(-0.555996\pi\)
−0.175010 + 0.984567i \(0.555996\pi\)
\(632\) −1260.85 + 2183.86i −0.0793575 + 0.137451i
\(633\) −1909.12 + 12527.8i −0.119874 + 0.786630i
\(634\) 1233.36 + 2136.25i 0.0772605 + 0.133819i
\(635\) 2439.93 + 4226.08i 0.152481 + 0.264106i
\(636\) 198.927 1305.38i 0.0124025 0.0813864i
\(637\) −19171.1 + 33205.3i −1.19244 + 2.06537i
\(638\) 12495.9 0.775418
\(639\) 3486.31 + 15506.9i 0.215831 + 0.960005i
\(640\) 4535.43 0.280123
\(641\) 5804.05 10052.9i 0.357639 0.619448i −0.629927 0.776654i \(-0.716915\pi\)
0.987566 + 0.157206i \(0.0502487\pi\)
\(642\) 37814.9 14770.3i 2.32466 0.908002i
\(643\) 6360.85 + 11017.3i 0.390120 + 0.675708i 0.992465 0.122528i \(-0.0391001\pi\)
−0.602345 + 0.798236i \(0.705767\pi\)
\(644\) −3116.04 5397.15i −0.190667 0.330244i
\(645\) −2797.58 2238.45i −0.170783 0.136650i
\(646\) −8859.78 + 15345.6i −0.539603 + 0.934620i
\(647\) −28203.7 −1.71376 −0.856879 0.515518i \(-0.827600\pi\)
−0.856879 + 0.515518i \(0.827600\pi\)
\(648\) 4811.70 2278.74i 0.291700 0.138144i
\(649\) −12815.4 −0.775115
\(650\) −2808.19 + 4863.93i −0.169456 + 0.293506i
\(651\) −32354.0 25887.7i −1.94786 1.55856i
\(652\) −798.678 1383.35i −0.0479734 0.0830924i
\(653\) 11346.4 + 19652.5i 0.679966 + 1.17774i 0.974991 + 0.222247i \(0.0713390\pi\)
−0.295024 + 0.955490i \(0.595328\pi\)
\(654\) 16794.3 6559.76i 1.00414 0.392213i
\(655\) 4073.07 7054.77i 0.242974 0.420844i
\(656\) −10738.1 −0.639103
\(657\) −3661.17 16284.7i −0.217406 0.967010i
\(658\) −3946.02 −0.233787
\(659\) −3002.00 + 5199.61i −0.177453 + 0.307357i −0.941007 0.338386i \(-0.890119\pi\)
0.763555 + 0.645743i \(0.223452\pi\)
\(660\) 493.471 3238.21i 0.0291035 0.190981i
\(661\) −5958.18 10319.9i −0.350600 0.607256i 0.635755 0.771891i \(-0.280689\pi\)
−0.986355 + 0.164635i \(0.947356\pi\)
\(662\) −9889.54 17129.2i −0.580616 1.00566i
\(663\) 3473.81 22795.6i 0.203487 1.33530i
\(664\) −3991.80 + 6914.00i −0.233301 + 0.404089i
\(665\) 10006.5 0.583512
\(666\) −20808.0 6492.63i −1.21065 0.377754i
\(667\) 5256.19 0.305128
\(668\) 10860.0 18810.1i 0.629021 1.08950i
\(669\) −11293.8 + 4411.31i −0.652682 + 0.254934i
\(670\) 8036.30 + 13919.3i 0.463387 + 0.802610i
\(671\) −1399.03 2423.19i −0.0804901 0.139413i
\(672\) −28704.5 22967.5i −1.64777 1.31844i
\(673\) 8016.85 13885.6i 0.459178 0.795319i −0.539740 0.841832i \(-0.681477\pi\)
0.998918 + 0.0465125i \(0.0148107\pi\)
\(674\) −12599.9 −0.720077
\(675\) 1961.62 + 2907.56i 0.111856 + 0.165796i
\(676\) 8440.54 0.480231
\(677\) −5655.94 + 9796.38i −0.321086 + 0.556138i −0.980712 0.195456i \(-0.937381\pi\)
0.659626 + 0.751594i \(0.270715\pi\)
\(678\) −8304.31 6644.59i −0.470391 0.376378i
\(679\) −3157.03 5468.14i −0.178432 0.309054i
\(680\) −1351.93 2341.61i −0.0762413 0.132054i
\(681\) −13182.8 + 5149.13i −0.741800 + 0.289743i
\(682\) −9932.64 + 17203.8i −0.557684 + 0.965937i
\(683\) −652.395 −0.0365493 −0.0182747 0.999833i \(-0.505817\pi\)
−0.0182747 + 0.999833i \(0.505817\pi\)
\(684\) −7669.59 + 7070.04i −0.428734 + 0.395219i
\(685\) 3307.25 0.184472
\(686\) 17437.4 30202.5i 0.970502 1.68096i
\(687\) 2594.34 17024.3i 0.144076 0.945443i
\(688\) 5225.96 + 9051.64i 0.289590 + 0.501585i
\(689\) 1258.29 + 2179.43i 0.0695750 + 0.120507i
\(690\) 481.965 3162.71i 0.0265914 0.174496i
\(691\) −6268.93 + 10858.1i −0.345125 + 0.597774i −0.985376 0.170392i \(-0.945497\pi\)
0.640252 + 0.768165i \(0.278830\pi\)
\(692\) 2241.90 0.123157
\(693\) 12965.5 11952.0i 0.710705 0.655148i
\(694\) 35069.8 1.91820
\(695\) −3457.47 + 5988.52i −0.188704 + 0.326845i
\(696\) 5655.94 2209.18i 0.308029 0.120314i
\(697\) 5245.47 + 9085.42i 0.285059 + 0.493737i
\(698\) −13193.6 22852.1i −0.715454 1.23920i
\(699\) 12883.5 + 10308.6i 0.697138 + 0.557807i
\(700\) 2371.46 4107.50i 0.128047 0.221784i
\(701\) 5880.60 0.316844 0.158422 0.987372i \(-0.449359\pi\)
0.158422 + 0.987372i \(0.449359\pi\)
\(702\) 13813.7 28329.9i 0.742684 1.52314i
\(703\) −13748.7 −0.737614
\(704\) −2496.37 + 4323.84i −0.133644 + 0.231479i
\(705\) −681.190 545.047i −0.0363902 0.0291172i
\(706\) −7876.07 13641.8i −0.419858 0.727216i
\(707\) 4159.77 + 7204.93i 0.221279 + 0.383266i
\(708\) 18017.9 7037.71i 0.956434 0.373578i
\(709\) −3203.33 + 5548.33i −0.169681 + 0.293895i −0.938308 0.345802i \(-0.887607\pi\)
0.768627 + 0.639697i \(0.220940\pi\)
\(710\) 11033.3 0.583198
\(711\) 8899.62 + 2776.91i 0.469426 + 0.146473i
\(712\) −3029.72 −0.159471
\(713\) −4178.00 + 7236.52i −0.219449 + 0.380098i
\(714\) −6811.55 + 44698.2i −0.357025 + 2.34284i
\(715\) 3121.40 + 5406.43i 0.163264 + 0.282782i
\(716\) −1352.25 2342.17i −0.0705812 0.122250i
\(717\) 192.667 1264.30i 0.0100353 0.0658526i
\(718\) −1102.10 + 1908.90i −0.0572843 + 0.0992193i
\(719\) 21907.0 1.13629 0.568144 0.822929i \(-0.307662\pi\)
0.568144 + 0.822929i \(0.307662\pi\)
\(720\) −2244.30 9982.52i −0.116167 0.516704i
\(721\) 16540.4 0.854364
\(722\) 5217.21 9036.47i 0.268926 0.465793i
\(723\) −25592.9 + 9996.44i −1.31647 + 0.514207i
\(724\) 2735.53 + 4738.07i 0.140421 + 0.243217i
\(725\) 2000.11 + 3464.29i 0.102458 + 0.177463i
\(726\) 13641.9 + 10915.4i 0.697382 + 0.558002i
\(727\) −6685.46 + 11579.6i −0.341059 + 0.590732i −0.984630 0.174655i \(-0.944119\pi\)
0.643571 + 0.765387i \(0.277452\pi\)
\(728\) 13721.1 0.698542
\(729\) −12121.4 15507.8i −0.615829 0.787880i
\(730\) −11586.6 −0.587453
\(731\) 5105.69 8843.31i 0.258332 0.447444i
\(732\) 3297.69 + 2638.61i 0.166511 + 0.133232i
\(733\) −15095.5 26146.2i −0.760663 1.31751i −0.942509 0.334181i \(-0.891540\pi\)
0.181846 0.983327i \(-0.441793\pi\)
\(734\) 14591.5 + 25273.2i 0.733762 + 1.27091i
\(735\) 15482.6 6047.42i 0.776985 0.303486i
\(736\) −3706.72 + 6420.22i −0.185641 + 0.321539i
\(737\) 17865.2 0.892910
\(738\) 3145.39 + 13990.5i 0.156888 + 0.697830i
\(739\) −11624.7 −0.578650 −0.289325 0.957231i \(-0.593431\pi\)
−0.289325 + 0.957231i \(0.593431\pi\)
\(740\) −3258.34 + 5643.60i −0.161863 + 0.280355i
\(741\) 2994.96 19653.3i 0.148479 0.974334i
\(742\) −2467.30 4273.49i −0.122072 0.211435i
\(743\) 2627.19 + 4550.42i 0.129720 + 0.224682i 0.923568 0.383434i \(-0.125259\pi\)
−0.793848 + 0.608116i \(0.791925\pi\)
\(744\) −1454.24 + 9542.90i −0.0716601 + 0.470241i
\(745\) −7908.73 + 13698.3i −0.388931 + 0.673648i
\(746\) −29328.9 −1.43942
\(747\) 28175.8 + 8791.57i 1.38005 + 0.430612i
\(748\) 9335.55 0.456339
\(749\) 32669.7 56585.5i 1.59376 2.76047i
\(750\) 2267.90 885.831i 0.110416 0.0431280i
\(751\) 14614.4 + 25312.9i 0.710102 + 1.22993i 0.964819 + 0.262917i \(0.0846844\pi\)
−0.254717 + 0.967016i \(0.581982\pi\)
\(752\) 1272.48 + 2204.00i 0.0617057 + 0.106877i
\(753\) −11446.4 9158.70i −0.553957 0.443242i
\(754\) 17973.4 31130.9i 0.868108 1.50361i
\(755\) −12794.0 −0.616716
\(756\) −11665.4 + 23924.1i −0.561199 + 1.15094i
\(757\) 32885.9 1.57894 0.789470 0.613789i \(-0.210355\pi\)
0.789470 + 0.613789i \(0.210355\pi\)
\(758\) 8771.46 15192.6i 0.420308 0.727995i
\(759\) −2776.62 2221.68i −0.132786 0.106247i
\(760\) −1165.57 2018.83i −0.0556311 0.0963559i
\(761\) 6634.11 + 11490.6i 0.316014 + 0.547352i 0.979652 0.200702i \(-0.0643221\pi\)
−0.663639 + 0.748053i \(0.730989\pi\)
\(762\) −17707.3 + 6916.37i −0.841820 + 0.328811i
\(763\) 14509.2 25130.7i 0.688425 1.19239i
\(764\) −3628.54 −0.171827
\(765\) −7349.82 + 6775.27i −0.347364 + 0.320210i
\(766\) −25219.0 −1.18956
\(767\) −18433.0 + 31927.0i −0.867769 + 1.50302i
\(768\) −4162.55 + 27315.1i −0.195577 + 1.28340i
\(769\) −17142.9 29692.4i −0.803887 1.39237i