Properties

Label 21.7.h.a.2.8
Level $21$
Weight $7$
Character 21.2
Analytic conductor $4.831$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 21.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83113575602\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 2.8
Character \(\chi\) \(=\) 21.2
Dual form 21.7.h.a.11.8

$q$-expansion

\(f(q)\) \(=\) \(q+(1.07584 + 0.621137i) q^{2} +(-9.77741 + 25.1675i) q^{3} +(-31.2284 - 54.0891i) q^{4} +(-93.7473 - 54.1250i) q^{5} +(-26.1514 + 21.0031i) q^{6} +(147.950 - 309.451i) q^{7} -157.094i q^{8} +(-537.804 - 492.146i) q^{9} +O(q^{10})\) \(q+(1.07584 + 0.621137i) q^{2} +(-9.77741 + 25.1675i) q^{3} +(-31.2284 - 54.0891i) q^{4} +(-93.7473 - 54.1250i) q^{5} +(-26.1514 + 21.0031i) q^{6} +(147.950 - 309.451i) q^{7} -157.094i q^{8} +(-537.804 - 492.146i) q^{9} +(-67.2381 - 116.460i) q^{10} +(-1895.66 + 1094.46i) q^{11} +(1666.62 - 257.088i) q^{12} -1138.08 q^{13} +(351.382 - 241.023i) q^{14} +(2278.80 - 1830.18i) q^{15} +(-1901.04 + 3292.70i) q^{16} +(6949.27 - 4012.16i) q^{17} +(-272.902 - 863.521i) q^{18} +(-3237.28 + 5607.13i) q^{19} +6760.95i q^{20} +(6341.53 + 6749.16i) q^{21} -2719.24 q^{22} +(-1113.26 - 642.738i) q^{23} +(3953.66 + 1535.97i) q^{24} +(-1953.46 - 3383.50i) q^{25} +(-1224.39 - 706.901i) q^{26} +(17644.4 - 8723.28i) q^{27} +(-21358.2 + 1661.16i) q^{28} -14229.8i q^{29} +(3588.42 - 553.539i) q^{30} +(-8129.75 - 14081.1i) q^{31} +(-12797.5 + 7388.62i) q^{32} +(-9010.15 - 58409.9i) q^{33} +9968.42 q^{34} +(-30618.9 + 21002.4i) q^{35} +(-9824.97 + 44458.3i) q^{36} +(-16657.2 + 28851.0i) q^{37} +(-6965.60 + 4021.59i) q^{38} +(11127.4 - 28642.5i) q^{39} +(-8502.72 + 14727.1i) q^{40} -98678.4i q^{41} +(2630.33 + 11200.0i) q^{42} +62149.0 q^{43} +(118397. + 68356.4i) q^{44} +(23780.3 + 75246.0i) q^{45} +(-798.457 - 1382.97i) q^{46} +(50356.5 + 29073.3i) q^{47} +(-64281.6 - 80038.4i) q^{48} +(-73870.6 - 91566.5i) q^{49} -4853.48i q^{50} +(33030.2 + 214124. i) q^{51} +(35540.3 + 61557.5i) q^{52} +(-157157. + 90734.5i) q^{53} +(24400.9 + 1574.73i) q^{54} +236950. q^{55} +(-48612.9 - 23242.1i) q^{56} +(-109465. - 136297. i) q^{57} +(8838.63 - 15309.0i) q^{58} +(127514. - 73620.3i) q^{59} +(-170156. - 66104.6i) q^{60} +(6343.16 - 10986.7i) q^{61} -20198.8i q^{62} +(-231863. + 93611.1i) q^{63} +224976. q^{64} +(106692. + 61598.4i) q^{65} +(26587.1 - 68436.4i) q^{66} +(-188397. - 326313. i) q^{67} +(-434029. - 250587. i) q^{68} +(27060.9 - 21733.5i) q^{69} +(-45986.5 + 3576.66i) q^{70} -118223. i q^{71} +(-77313.1 + 84485.9i) q^{72} +(3414.75 + 5914.52i) q^{73} +(-35840.9 + 20692.8i) q^{74} +(104254. - 16081.9i) q^{75} +404380. q^{76} +(58218.5 + 748538. i) q^{77} +(29762.3 - 23903.1i) q^{78} +(-183692. + 318164. i) q^{79} +(356435. - 205788. i) q^{80} +(47026.4 + 529356. i) q^{81} +(61292.8 - 106162. i) q^{82} -336120. i q^{83} +(167020. - 553773. i) q^{84} -868634. q^{85} +(66862.5 + 38603.1i) q^{86} +(358127. + 139130. i) q^{87} +(171933. + 297797. i) q^{88} +(258905. + 149479. i) q^{89} +(-21154.2 + 95723.6i) q^{90} +(-168378. + 352178. i) q^{91} +80286.7i q^{92} +(433875. - 66928.3i) q^{93} +(36117.1 + 62556.6i) q^{94} +(606972. - 350436. i) q^{95} +(-60826.9 - 394322. i) q^{96} -539279. q^{97} +(-22597.7 - 144395. i) q^{98} +(1.55813e6 + 344335. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - q^{3} + 382q^{4} - 356q^{6} + 1120q^{7} + 1031q^{9} + O(q^{10}) \) \( 28q - q^{3} + 382q^{4} - 356q^{6} + 1120q^{7} + 1031q^{9} - 930q^{10} - 404q^{12} + 3632q^{13} + 5450q^{15} - 13706q^{16} + 1612q^{18} + 6830q^{19} - 11333q^{21} - 27348q^{22} - 54498q^{24} - 7640q^{25} + 13268q^{27} + 88522q^{28} + 32380q^{30} + 69410q^{31} - 85459q^{33} - 31344q^{34} + 399028q^{36} - 71830q^{37} + 104570q^{39} + 230250q^{40} - 467782q^{42} - 498904q^{43} - 85375q^{45} - 342660q^{46} - 324728q^{48} + 395668q^{49} + 42177q^{51} + 218000q^{52} - 402122q^{54} + 231660q^{55} + 786782q^{57} + 459522q^{58} + 1021150q^{60} + 153158q^{61} + 179011q^{63} - 1399412q^{64} + 80896q^{66} - 977098q^{67} - 1520742q^{69} - 139650q^{70} - 1001352q^{72} - 488350q^{73} + 1434610q^{75} + 6196280q^{76} + 245176q^{78} + 380762q^{79} + 893531q^{81} - 3665004q^{82} + 1231496q^{84} - 912540q^{85} + 1452416q^{87} - 1522482q^{88} - 11713820q^{90} - 1529416q^{91} - 1690071q^{93} - 3034044q^{94} + 7549346q^{96} + 7212176q^{97} + 435866q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.07584 + 0.621137i 0.134480 + 0.0776422i 0.565731 0.824590i \(-0.308594\pi\)
−0.431251 + 0.902232i \(0.641928\pi\)
\(3\) −9.77741 + 25.1675i −0.362126 + 0.932129i
\(4\) −31.2284 54.0891i −0.487943 0.845143i
\(5\) −93.7473 54.1250i −0.749978 0.433000i 0.0757077 0.997130i \(-0.475878\pi\)
−0.825686 + 0.564130i \(0.809212\pi\)
\(6\) −26.1514 + 21.0031i −0.121071 + 0.0972366i
\(7\) 147.950 309.451i 0.431341 0.902189i
\(8\) 157.094i 0.306824i
\(9\) −537.804 492.146i −0.737729 0.675097i
\(10\) −67.2381 116.460i −0.0672381 0.116460i
\(11\) −1895.66 + 1094.46i −1.42424 + 0.822283i −0.996657 0.0816949i \(-0.973967\pi\)
−0.427579 + 0.903978i \(0.640633\pi\)
\(12\) 1666.62 257.088i 0.964479 0.148778i
\(13\) −1138.08 −0.518013 −0.259007 0.965876i \(-0.583395\pi\)
−0.259007 + 0.965876i \(0.583395\pi\)
\(14\) 351.382 241.023i 0.128055 0.0878363i
\(15\) 2278.80 1830.18i 0.675199 0.542276i
\(16\) −1901.04 + 3292.70i −0.464121 + 0.803881i
\(17\) 6949.27 4012.16i 1.41447 0.816643i 0.418661 0.908142i \(-0.362499\pi\)
0.995805 + 0.0914999i \(0.0291661\pi\)
\(18\) −272.902 863.521i −0.0467939 0.148066i
\(19\) −3237.28 + 5607.13i −0.471975 + 0.817485i −0.999486 0.0320633i \(-0.989792\pi\)
0.527511 + 0.849548i \(0.323126\pi\)
\(20\) 6760.95i 0.845118i
\(21\) 6341.53 + 6749.16i 0.684757 + 0.728772i
\(22\) −2719.24 −0.255375
\(23\) −1113.26 642.738i −0.0914979 0.0528263i 0.453553 0.891229i \(-0.350156\pi\)
−0.545051 + 0.838403i \(0.683490\pi\)
\(24\) 3953.66 + 1535.97i 0.286000 + 0.111109i
\(25\) −1953.46 3383.50i −0.125022 0.216544i
\(26\) −1224.39 706.901i −0.0696625 0.0402197i
\(27\) 17644.4 8723.28i 0.896429 0.443188i
\(28\) −21358.2 + 1661.16i −0.972948 + 0.0756723i
\(29\) 14229.8i 0.583450i −0.956502 0.291725i \(-0.905771\pi\)
0.956502 0.291725i \(-0.0942291\pi\)
\(30\) 3588.42 553.539i 0.132904 0.0205014i
\(31\) −8129.75 14081.1i −0.272893 0.472664i 0.696708 0.717354i \(-0.254647\pi\)
−0.969601 + 0.244690i \(0.921314\pi\)
\(32\) −12797.5 + 7388.62i −0.390548 + 0.225483i
\(33\) −9010.15 58409.9i −0.250721 1.62534i
\(34\) 9968.42 0.253624
\(35\) −30618.9 + 21002.4i −0.714144 + 0.489851i
\(36\) −9824.97 + 44458.3i −0.210583 + 0.952895i
\(37\) −16657.2 + 28851.0i −0.328848 + 0.569582i −0.982284 0.187400i \(-0.939994\pi\)
0.653435 + 0.756982i \(0.273327\pi\)
\(38\) −6965.60 + 4021.59i −0.126943 + 0.0732904i
\(39\) 11127.4 28642.5i 0.187586 0.482855i
\(40\) −8502.72 + 14727.1i −0.132855 + 0.230112i
\(41\) 98678.4i 1.43176i −0.698223 0.715881i \(-0.746025\pi\)
0.698223 0.715881i \(-0.253975\pi\)
\(42\) 2630.33 + 11200.0i 0.0355027 + 0.151171i
\(43\) 62149.0 0.781680 0.390840 0.920459i \(-0.372185\pi\)
0.390840 + 0.920459i \(0.372185\pi\)
\(44\) 118397. + 68356.4i 1.38989 + 0.802455i
\(45\) 23780.3 + 75246.0i 0.260964 + 0.825745i
\(46\) −798.457 1382.97i −0.00820310 0.0142082i
\(47\) 50356.5 + 29073.3i 0.485023 + 0.280028i 0.722507 0.691363i \(-0.242990\pi\)
−0.237485 + 0.971391i \(0.576323\pi\)
\(48\) −64281.6 80038.4i −0.581250 0.723727i
\(49\) −73870.6 91566.5i −0.627890 0.778302i
\(50\) 4853.48i 0.0388278i
\(51\) 33030.2 + 214124.i 0.249001 + 1.61419i
\(52\) 35540.3 + 61557.5i 0.252761 + 0.437795i
\(53\) −157157. + 90734.5i −1.05561 + 0.609459i −0.924216 0.381870i \(-0.875280\pi\)
−0.131399 + 0.991330i \(0.541947\pi\)
\(54\) 24400.9 + 1574.73i 0.154962 + 0.0100006i
\(55\) 236950. 1.42420
\(56\) −48612.9 23242.1i −0.276813 0.132346i
\(57\) −109465. 136297.i −0.591087 0.735975i
\(58\) 8838.63 15309.0i 0.0453003 0.0784624i
\(59\) 127514. 73620.3i 0.620872 0.358461i −0.156336 0.987704i \(-0.549968\pi\)
0.777209 + 0.629243i \(0.216635\pi\)
\(60\) −170156. 66104.6i −0.787759 0.306040i
\(61\) 6343.16 10986.7i 0.0279458 0.0484035i −0.851714 0.524006i \(-0.824437\pi\)
0.879660 + 0.475603i \(0.157770\pi\)
\(62\) 20198.8i 0.0847520i
\(63\) −231863. + 93611.1i −0.927278 + 0.374374i
\(64\) 224976. 0.858214
\(65\) 106692. + 61598.4i 0.388499 + 0.224300i
\(66\) 26587.1 68436.4i 0.0924781 0.238043i
\(67\) −188397. 326313.i −0.626397 1.08495i −0.988269 0.152723i \(-0.951196\pi\)
0.361872 0.932228i \(-0.382138\pi\)
\(68\) −434029. 250587.i −1.38036 0.796951i
\(69\) 27060.9 21733.5i 0.0823748 0.0661581i
\(70\) −45986.5 + 3576.66i −0.134071 + 0.0104276i
\(71\) 118223.i 0.330314i −0.986267 0.165157i \(-0.947187\pi\)
0.986267 0.165157i \(-0.0528131\pi\)
\(72\) −77313.1 + 84485.9i −0.207136 + 0.226353i
\(73\) 3414.75 + 5914.52i 0.00877789 + 0.0152038i 0.870381 0.492379i \(-0.163873\pi\)
−0.861603 + 0.507583i \(0.830539\pi\)
\(74\) −35840.9 + 20692.8i −0.0884471 + 0.0510650i
\(75\) 104254. 16081.9i 0.247120 0.0381201i
\(76\) 404380. 0.921189
\(77\) 58218.5 + 748538.i 0.127523 + 1.63961i
\(78\) 29762.3 23903.1i 0.0627166 0.0503699i
\(79\) −183692. + 318164.i −0.372571 + 0.645313i −0.989960 0.141345i \(-0.954857\pi\)
0.617389 + 0.786658i \(0.288191\pi\)
\(80\) 356435. 205788.i 0.696161 0.401929i
\(81\) 47026.4 + 529356.i 0.0884884 + 0.996077i
\(82\) 61292.8 106162.i 0.111165 0.192544i
\(83\) 336120.i 0.587841i −0.955830 0.293920i \(-0.905040\pi\)
0.955830 0.293920i \(-0.0949600\pi\)
\(84\) 167020. 553773.i 0.281794 0.934316i
\(85\) −868634. −1.41443
\(86\) 66862.5 + 38603.1i 0.105120 + 0.0606913i
\(87\) 358127. + 139130.i 0.543850 + 0.211282i
\(88\) 171933. + 297797.i 0.252296 + 0.436990i
\(89\) 258905. + 149479.i 0.367258 + 0.212036i 0.672260 0.740315i \(-0.265324\pi\)
−0.305002 + 0.952352i \(0.598657\pi\)
\(90\) −21154.2 + 95723.6i −0.0290182 + 0.131308i
\(91\) −168378. + 352178.i −0.223441 + 0.467346i
\(92\) 80286.7i 0.103105i
\(93\) 433875. 66928.3i 0.539406 0.0832072i
\(94\) 36117.1 + 62556.6i 0.0434839 + 0.0753164i
\(95\) 606972. 350436.i 0.707942 0.408731i
\(96\) −60826.9 394322.i −0.0687515 0.445694i
\(97\) −539279. −0.590879 −0.295439 0.955361i \(-0.595466\pi\)
−0.295439 + 0.955361i \(0.595466\pi\)
\(98\) −22597.7 144395.i −0.0240096 0.153417i
\(99\) 1.55813e6 + 344335.i 1.60582 + 0.354875i
\(100\) −122007. + 211322.i −0.122007 + 0.211322i
\(101\) −964412. + 556804.i −0.936049 + 0.540428i −0.888720 0.458451i \(-0.848404\pi\)
−0.0473294 + 0.998879i \(0.515071\pi\)
\(102\) −97465.3 + 250880.i −0.0918438 + 0.236410i
\(103\) −189371. + 328000.i −0.173301 + 0.300167i −0.939572 0.342351i \(-0.888777\pi\)
0.766271 + 0.642518i \(0.222110\pi\)
\(104\) 178785.i 0.158939i
\(105\) −229203. 975951.i −0.197994 0.843063i
\(106\) −225434. −0.189279
\(107\) −904064. 521962.i −0.737985 0.426076i 0.0833510 0.996520i \(-0.473438\pi\)
−0.821336 + 0.570444i \(0.806771\pi\)
\(108\) −1.02284e6 681957.i −0.811964 0.541359i
\(109\) −943658. 1.63446e6i −0.728677 1.26211i −0.957442 0.288624i \(-0.906802\pi\)
0.228765 0.973482i \(-0.426531\pi\)
\(110\) 254921. + 147179.i 0.191526 + 0.110578i
\(111\) −563244. 701307.i −0.411839 0.512790i
\(112\) 737669. + 1.07543e6i 0.525058 + 0.765472i
\(113\) 424686.i 0.294329i 0.989112 + 0.147164i \(0.0470147\pi\)
−0.989112 + 0.147164i \(0.952985\pi\)
\(114\) −33107.8 214627.i −0.0223468 0.144867i
\(115\) 69576.4 + 120510.i 0.0457476 + 0.0792372i
\(116\) −769675. + 444372.i −0.493098 + 0.284690i
\(117\) 612062. + 560099.i 0.382154 + 0.349709i
\(118\) 182913. 0.111327
\(119\) −213423. 2.74406e6i −0.126648 1.62837i
\(120\) −287510. 357985.i −0.166383 0.207167i
\(121\) 1.50990e6 2.61522e6i 0.852299 1.47623i
\(122\) 13648.5 7879.94i 0.00751630 0.00433954i
\(123\) 2.48349e6 + 964819.i 1.33459 + 0.518478i
\(124\) −507758. + 879463.i −0.266313 + 0.461267i
\(125\) 2.11433e6i 1.08254i
\(126\) −307593. 43308.1i −0.153768 0.0216500i
\(127\) −907684. −0.443122 −0.221561 0.975146i \(-0.571115\pi\)
−0.221561 + 0.975146i \(0.571115\pi\)
\(128\) 1.06108e6 + 612612.i 0.505960 + 0.292116i
\(129\) −607657. + 1.56414e6i −0.283067 + 0.728627i
\(130\) 76522.1 + 132540.i 0.0348303 + 0.0603278i
\(131\) 664364. + 383571.i 0.295524 + 0.170621i 0.640430 0.768016i \(-0.278756\pi\)
−0.344906 + 0.938637i \(0.612089\pi\)
\(132\) −2.87797e6 + 2.31140e6i −1.25131 + 1.00497i
\(133\) 1.25618e6 + 1.83135e6i 0.533944 + 0.778426i
\(134\) 468082.i 0.194539i
\(135\) −2.12626e6 137220.i −0.864203 0.0557721i
\(136\) −630287. 1.09169e6i −0.250566 0.433993i
\(137\) 1.28937e6 744416.i 0.501435 0.289503i −0.227871 0.973691i \(-0.573176\pi\)
0.729306 + 0.684188i \(0.239843\pi\)
\(138\) 42612.7 6573.31i 0.0162144 0.00250119i
\(139\) 2.89116e6 1.07654 0.538268 0.842774i \(-0.319079\pi\)
0.538268 + 0.842774i \(0.319079\pi\)
\(140\) 2.09218e6 + 1.00028e6i 0.762456 + 0.364534i
\(141\) −1.22406e6 + 983085.i −0.436662 + 0.350698i
\(142\) 73432.8 127189.i 0.0256463 0.0444207i
\(143\) 2.15740e6 1.24558e6i 0.737774 0.425954i
\(144\) 2.64287e6 835239.i 0.885093 0.279720i
\(145\) −770186. + 1.33400e6i −0.252634 + 0.437575i
\(146\) 8484.11i 0.00272614i
\(147\) 3.02676e6 963854.i 0.952854 0.303430i
\(148\) 2.08070e6 0.641837
\(149\) −5.57672e6 3.21972e6i −1.68585 0.973329i −0.957635 0.287985i \(-0.907015\pi\)
−0.728220 0.685344i \(-0.759652\pi\)
\(150\) 122150. + 47454.4i 0.0361925 + 0.0140606i
\(151\) 1.21615e6 + 2.10643e6i 0.353228 + 0.611809i 0.986813 0.161864i \(-0.0517507\pi\)
−0.633585 + 0.773673i \(0.718417\pi\)
\(152\) 880847. + 508557.i 0.250824 + 0.144813i
\(153\) −5.71192e6 1.26229e6i −1.59481 0.352441i
\(154\) −402311. + 841470.i −0.110154 + 0.230397i
\(155\) 1.76009e6i 0.472651i
\(156\) −1.89674e6 + 292586.i −0.499613 + 0.0770689i
\(157\) −1.87598e6 3.24929e6i −0.484762 0.839632i 0.515085 0.857139i \(-0.327760\pi\)
−0.999847 + 0.0175070i \(0.994427\pi\)
\(158\) −395247. + 228196.i −0.100207 + 0.0578545i
\(159\) −746973. 4.84239e6i −0.185829 1.20467i
\(160\) 1.59964e6 0.390536
\(161\) −363602. + 249405.i −0.0871262 + 0.0597622i
\(162\) −278210. + 598713.i −0.0654377 + 0.140823i
\(163\) 3.47035e6 6.01083e6i 0.801329 1.38794i −0.117413 0.993083i \(-0.537460\pi\)
0.918742 0.394859i \(-0.129207\pi\)
\(164\) −5.33743e6 + 3.08157e6i −1.21004 + 0.698618i
\(165\) −2.31676e6 + 5.96345e6i −0.515739 + 1.32753i
\(166\) 208776. 361611.i 0.0456412 0.0790529i
\(167\) 4.15217e6i 0.891509i 0.895155 + 0.445755i \(0.147065\pi\)
−0.895155 + 0.445755i \(0.852935\pi\)
\(168\) 1.06025e6 996216.i 0.223605 0.210100i
\(169\) −3.53159e6 −0.731662
\(170\) −934512. 539541.i −0.190212 0.109819i
\(171\) 4.50055e6 1.42233e6i 0.900072 0.284454i
\(172\) −1.94081e6 3.36159e6i −0.381416 0.660631i
\(173\) −304335. 175708.i −0.0587778 0.0339354i 0.470323 0.882494i \(-0.344137\pi\)
−0.529101 + 0.848559i \(0.677471\pi\)
\(174\) 298869. + 372128.i 0.0567327 + 0.0706390i
\(175\) −1.33604e6 + 103912.i −0.249290 + 0.0193889i
\(176\) 8.32244e6i 1.52656i
\(177\) 606080. + 3.92903e6i 0.109298 + 0.708541i
\(178\) 185694. + 321632.i 0.0329259 + 0.0570294i
\(179\) 2.53567e6 1.46397e6i 0.442114 0.255255i −0.262380 0.964965i \(-0.584507\pi\)
0.704494 + 0.709710i \(0.251174\pi\)
\(180\) 3.32737e6 3.63607e6i 0.570537 0.623468i
\(181\) 5.66335e6 0.955076 0.477538 0.878611i \(-0.341529\pi\)
0.477538 + 0.878611i \(0.341529\pi\)
\(182\) −399899. + 274302.i −0.0663341 + 0.0455004i
\(183\) 214487. + 267062.i 0.0349984 + 0.0435772i
\(184\) −100970. + 174886.i −0.0162084 + 0.0280738i
\(185\) 3.12313e6 1.80314e6i 0.493258 0.284783i
\(186\) 508352. + 197492.i 0.0789998 + 0.0306909i
\(187\) −8.78230e6 + 1.52114e7i −1.34302 + 2.32618i
\(188\) 3.63165e6i 0.546551i
\(189\) −88935.3 6.75068e6i −0.0131731 0.999913i
\(190\) 870674. 0.126939
\(191\) 9.19484e6 + 5.30864e6i 1.31960 + 0.761874i 0.983665 0.180009i \(-0.0576127\pi\)
0.335940 + 0.941883i \(0.390946\pi\)
\(192\) −2.19968e6 + 5.66207e6i −0.310782 + 0.799966i
\(193\) −5.25264e6 9.09784e6i −0.730644 1.26551i −0.956608 0.291377i \(-0.905887\pi\)
0.225964 0.974136i \(-0.427447\pi\)
\(194\) −580179. 334966.i −0.0794615 0.0458771i
\(195\) −2.59344e6 + 2.08288e6i −0.349762 + 0.280906i
\(196\) −2.64589e6 + 6.85507e6i −0.351402 + 0.910424i
\(197\) 1.35624e7i 1.77393i 0.461834 + 0.886966i \(0.347191\pi\)
−0.461834 + 0.886966i \(0.652809\pi\)
\(198\) 1.46242e6 + 1.33826e6i 0.188398 + 0.172403i
\(199\) 3.33396e6 + 5.77458e6i 0.423059 + 0.732759i 0.996237 0.0866716i \(-0.0276231\pi\)
−0.573178 + 0.819431i \(0.694290\pi\)
\(200\) −531527. + 306877.i −0.0664409 + 0.0383597i
\(201\) 1.00545e7 1.55098e6i 1.23815 0.190993i
\(202\) −1.38341e6 −0.167840
\(203\) −4.40341e6 2.10529e6i −0.526382 0.251666i
\(204\) 1.05503e7 8.47333e6i 1.24273 0.998076i
\(205\) −5.34097e6 + 9.25084e6i −0.619953 + 1.07379i
\(206\) −407467. + 235251.i −0.0466112 + 0.0269110i
\(207\) 282393. + 893551.i 0.0318378 + 0.100741i
\(208\) 2.16353e6 3.74734e6i 0.240421 0.416421i
\(209\) 1.41723e7i 1.55239i
\(210\) 359613. 1.19233e6i 0.0388309 0.128748i
\(211\) −4.44294e6 −0.472959 −0.236479 0.971636i \(-0.575994\pi\)
−0.236479 + 0.971636i \(0.575994\pi\)
\(212\) 9.81550e6 + 5.66698e6i 1.03016 + 0.594763i
\(213\) 2.97538e6 + 1.15592e6i 0.307895 + 0.119615i
\(214\) −648420. 1.12310e6i −0.0661629 0.114598i
\(215\) −5.82631e6 3.36382e6i −0.586243 0.338468i
\(216\) −1.37037e6 2.77183e6i −0.135981 0.275046i
\(217\) −5.56022e6 + 432453.i −0.544143 + 0.0423214i
\(218\) 2.34456e6i 0.226304i
\(219\) −182241. + 28112.0i −0.0173506 + 0.00267645i
\(220\) −7.39958e6 1.28164e7i −0.694927 1.20365i
\(221\) −7.90880e6 + 4.56615e6i −0.732713 + 0.423032i
\(222\) −170353. 1.10435e6i −0.0155701 0.100936i
\(223\) 1.80890e7 1.63118 0.815588 0.578633i \(-0.196414\pi\)
0.815588 + 0.578633i \(0.196414\pi\)
\(224\) 393029. + 5.05333e6i 0.0349688 + 0.449608i
\(225\) −614592. + 2.78105e6i −0.0539560 + 0.244152i
\(226\) −263789. + 456895.i −0.0228523 + 0.0395814i
\(227\) 876805. 506224.i 0.0749593 0.0432778i −0.462052 0.886853i \(-0.652887\pi\)
0.537011 + 0.843575i \(0.319553\pi\)
\(228\) −3.95379e6 + 1.01772e7i −0.333587 + 0.858667i
\(229\) 7.53611e6 1.30529e7i 0.627539 1.08693i −0.360505 0.932757i \(-0.617396\pi\)
0.988044 0.154172i \(-0.0492710\pi\)
\(230\) 172866.i 0.0142078i
\(231\) −1.94080e7 5.85355e6i −1.57451 0.474880i
\(232\) −2.23541e6 −0.179016
\(233\) −6.84600e6 3.95254e6i −0.541214 0.312470i 0.204357 0.978896i \(-0.434490\pi\)
−0.745571 + 0.666426i \(0.767823\pi\)
\(234\) 310583. + 982752.i 0.0242399 + 0.0767002i
\(235\) −3.14719e6 5.45109e6i −0.242504 0.420030i
\(236\) −7.96412e6 4.59809e6i −0.605901 0.349817i
\(237\) −6.21136e6 7.73389e6i −0.466597 0.580969i
\(238\) 1.47483e6 3.08474e6i 0.109398 0.228816i
\(239\) 1.37219e6i 0.100513i −0.998736 0.0502564i \(-0.983996\pi\)
0.998736 0.0502564i \(-0.0160039\pi\)
\(240\) 1.69415e6 + 1.09826e7i 0.122551 + 0.794461i
\(241\) 9.73279e6 + 1.68577e7i 0.695323 + 1.20433i 0.970072 + 0.242818i \(0.0780718\pi\)
−0.274749 + 0.961516i \(0.588595\pi\)
\(242\) 3.24883e6 1.87571e6i 0.229235 0.132349i
\(243\) −1.37824e7 3.99220e6i −0.960516 0.278223i
\(244\) −792346. −0.0545438
\(245\) 1.96913e6 + 1.25824e7i 0.133899 + 0.855586i
\(246\) 2.07255e6 + 2.58058e6i 0.139220 + 0.173345i
\(247\) 3.68427e6 6.38134e6i 0.244490 0.423468i
\(248\) −2.21206e6 + 1.27714e6i −0.145025 + 0.0837302i
\(249\) 8.45928e6 + 3.28638e6i 0.547943 + 0.212873i
\(250\) −1.31329e6 + 2.27469e6i −0.0840506 + 0.145580i
\(251\) 1.03251e7i 0.652939i −0.945208 0.326470i \(-0.894141\pi\)
0.945208 0.326470i \(-0.105859\pi\)
\(252\) 1.23040e7 + 9.61795e6i 0.768858 + 0.601009i
\(253\) 2.81380e6 0.173753
\(254\) −976524. 563797.i −0.0595912 0.0344050i
\(255\) 8.49299e6 2.18613e7i 0.512201 1.31843i
\(256\) −6.43819e6 1.11513e7i −0.383746 0.664667i
\(257\) 1.64386e7 + 9.49082e6i 0.968423 + 0.559119i 0.898755 0.438451i \(-0.144473\pi\)
0.0696675 + 0.997570i \(0.477806\pi\)
\(258\) −1.62528e6 + 1.30532e6i −0.0946391 + 0.0760079i
\(259\) 6.46355e6 + 9.42308e6i 0.372025 + 0.542367i
\(260\) 7.69447e6i 0.437783i
\(261\) −7.00311e6 + 7.65283e6i −0.393885 + 0.430428i
\(262\) 476500. + 825323.i 0.0264947 + 0.0458902i
\(263\) −6.17079e6 + 3.56271e6i −0.339214 + 0.195845i −0.659924 0.751332i \(-0.729412\pi\)
0.320710 + 0.947177i \(0.396078\pi\)
\(264\) −9.17585e6 + 1.41544e6i −0.498694 + 0.0769272i
\(265\) 1.96440e7 1.05558
\(266\) 213924. + 2.75050e6i 0.0113662 + 0.146139i
\(267\) −6.29344e6 + 5.05448e6i −0.330639 + 0.265548i
\(268\) −1.17667e7 + 2.03805e7i −0.611292 + 1.05879i
\(269\) 2.26546e7 1.30796e7i 1.16386 0.671953i 0.211631 0.977350i \(-0.432122\pi\)
0.952225 + 0.305397i \(0.0987890\pi\)
\(270\) −2.20229e6 1.46833e6i −0.111888 0.0745988i
\(271\) 2.51433e6 4.35495e6i 0.126332 0.218814i −0.795921 0.605401i \(-0.793013\pi\)
0.922253 + 0.386587i \(0.126346\pi\)
\(272\) 3.05091e7i 1.51608i
\(273\) −7.21714e6 7.68105e6i −0.354713 0.377514i
\(274\) 1.84954e6 0.0899107
\(275\) 7.40620e6 + 4.27597e6i 0.356121 + 0.205606i
\(276\) −2.02061e6 784996.i −0.0961072 0.0373371i
\(277\) 4.30305e6 + 7.45311e6i 0.202459 + 0.350669i 0.949320 0.314311i \(-0.101773\pi\)
−0.746861 + 0.664980i \(0.768440\pi\)
\(278\) 3.11043e6 + 1.79581e6i 0.144773 + 0.0835846i
\(279\) −2.55776e6 + 1.15739e7i −0.117773 + 0.532927i
\(280\) 3.29935e6 + 4.81005e6i 0.150298 + 0.219117i
\(281\) 1.88273e7i 0.848535i −0.905537 0.424268i \(-0.860532\pi\)
0.905537 0.424268i \(-0.139468\pi\)
\(282\) −1.92752e6 + 297334.i −0.0859513 + 0.0132586i
\(283\) 2.47143e6 + 4.28064e6i 0.109041 + 0.188864i 0.915382 0.402587i \(-0.131889\pi\)
−0.806341 + 0.591451i \(0.798555\pi\)
\(284\) −6.39458e6 + 3.69191e6i −0.279163 + 0.161175i
\(285\) 2.88497e6 + 1.87023e7i 0.124625 + 0.807906i
\(286\) 3.09470e6 0.132288
\(287\) −3.05361e7 1.45995e7i −1.29172 0.617578i
\(288\) 1.05188e7 + 2.32458e6i 0.440341 + 0.0973123i
\(289\) 2.01261e7 3.48595e7i 0.833810 1.44420i
\(290\) −1.65720e6 + 956782.i −0.0679485 + 0.0392301i
\(291\) 5.27275e6 1.35723e7i 0.213973 0.550775i
\(292\) 213274. 369402.i 0.00856623 0.0148371i
\(293\) 6.98437e6i 0.277667i −0.990316 0.138833i \(-0.955665\pi\)
0.990316 0.138833i \(-0.0443353\pi\)
\(294\) 3.85500e6 + 843081.i 0.151699 + 0.0331762i
\(295\) −1.59388e7 −0.620854
\(296\) 4.53232e6 + 2.61674e6i 0.174762 + 0.100899i
\(297\) −2.39005e7 + 3.58474e7i −0.912300 + 1.36832i
\(298\) −3.99978e6 6.92782e6i −0.151143 0.261787i
\(299\) 1.26697e6 + 731485.i 0.0473972 + 0.0273648i
\(300\) −4.12554e6 5.13679e6i −0.152798 0.190252i
\(301\) 9.19495e6 1.92321e7i 0.337171 0.705223i
\(302\) 3.02158e6i 0.109702i
\(303\) −4.58389e6 2.97159e7i −0.164781 1.06822i
\(304\) −1.23084e7 2.13187e7i −0.438107 0.758824i
\(305\) −1.18931e6 + 686647.i −0.0419174 + 0.0242010i
\(306\) −5.36106e6 4.90591e6i −0.187105 0.171220i
\(307\) −5.40032e7 −1.86640 −0.933200 0.359358i \(-0.882996\pi\)
−0.933200 + 0.359358i \(0.882996\pi\)
\(308\) 3.86697e7 2.65246e7i 1.32348 0.907814i
\(309\) −6.40339e6 7.97299e6i −0.217037 0.270238i
\(310\) −1.09326e6 + 1.89358e6i −0.0366976 + 0.0635622i
\(311\) −3.38850e7 + 1.95635e7i −1.12649 + 0.650378i −0.943049 0.332654i \(-0.892056\pi\)
−0.183438 + 0.983031i \(0.558723\pi\)
\(312\) −4.49957e6 1.74805e6i −0.148152 0.0575560i
\(313\) −9.68249e6 + 1.67706e7i −0.315758 + 0.546908i −0.979598 0.200966i \(-0.935592\pi\)
0.663841 + 0.747874i \(0.268925\pi\)
\(314\) 4.66096e6i 0.150552i
\(315\) 2.68032e7 + 3.77381e6i 0.857542 + 0.120739i
\(316\) 2.29456e7 0.727175
\(317\) −2.95640e7 1.70688e7i −0.928081 0.535828i −0.0418770 0.999123i \(-0.513334\pi\)
−0.886204 + 0.463295i \(0.846667\pi\)
\(318\) 2.20416e6 5.67361e6i 0.0685429 0.176432i
\(319\) 1.55739e7 + 2.69748e7i 0.479761 + 0.830970i
\(320\) −2.10909e7 1.21768e7i −0.643642 0.371607i
\(321\) 2.19759e7 1.76496e7i 0.664402 0.533604i
\(322\) −546093. + 42473.0i −0.0163568 + 0.00127217i
\(323\) 5.19540e7i 1.54174i
\(324\) 2.71639e7 1.90746e7i 0.798650 0.560815i
\(325\) 2.22319e6 + 3.85068e6i 0.0647629 + 0.112173i
\(326\) 7.46710e6 4.31113e6i 0.215526 0.124434i
\(327\) 5.03619e7 7.76868e6i 1.44032 0.222179i
\(328\) −1.55018e7 −0.439299
\(329\) 1.64470e7 1.12815e7i 0.461848 0.316794i
\(330\) −6.19659e6 + 4.97670e6i −0.172429 + 0.138484i
\(331\) −1.35129e7 + 2.34050e7i −0.372618 + 0.645393i −0.989967 0.141296i \(-0.954873\pi\)
0.617350 + 0.786689i \(0.288206\pi\)
\(332\) −1.81804e7 + 1.04965e7i −0.496809 + 0.286833i
\(333\) 2.31572e7 7.31847e6i 0.627124 0.198193i
\(334\) −2.57907e6 + 4.46708e6i −0.0692187 + 0.119890i
\(335\) 4.07880e7i 1.08492i
\(336\) −3.42784e7 + 8.05032e6i −0.903656 + 0.212224i
\(337\) −1.37671e7 −0.359710 −0.179855 0.983693i \(-0.557563\pi\)
−0.179855 + 0.983693i \(0.557563\pi\)
\(338\) −3.79943e6 2.19360e6i −0.0983940 0.0568078i
\(339\) −1.06883e7 4.15233e6i −0.274353 0.106584i
\(340\) 2.71260e7 + 4.69837e7i 0.690160 + 1.19539i
\(341\) 3.08225e7 + 1.77954e7i 0.777328 + 0.448791i
\(342\) 5.72534e6 + 1.26526e6i 0.143127 + 0.0316301i
\(343\) −3.92645e7 + 9.31205e6i −0.973010 + 0.230761i
\(344\) 9.76324e6i 0.239838i
\(345\) −3.71321e6 + 572789.i −0.0904258 + 0.0139488i
\(346\) −218277. 378067.i −0.00526963 0.00912727i
\(347\) 7.20769e7 4.16136e7i 1.72507 0.995972i 0.817703 0.575641i \(-0.195247\pi\)
0.907371 0.420331i \(-0.138086\pi\)
\(348\) −3.65830e6 2.37156e7i −0.0868043 0.562725i
\(349\) −5.05729e7 −1.18971 −0.594856 0.803832i \(-0.702791\pi\)
−0.594856 + 0.803832i \(0.702791\pi\)
\(350\) −1.50191e6 718072.i −0.0350300 0.0167480i
\(351\) −2.00807e7 + 9.92775e6i −0.464362 + 0.229578i
\(352\) 1.61731e7 2.80126e7i 0.370821 0.642282i
\(353\) 2.61384e7 1.50910e7i 0.594231 0.343079i −0.172538 0.985003i \(-0.555197\pi\)
0.766769 + 0.641923i \(0.221863\pi\)
\(354\) −1.78842e6 + 4.60347e6i −0.0403143 + 0.103771i
\(355\) −6.39883e6 + 1.10831e7i −0.143026 + 0.247728i
\(356\) 1.86720e7i 0.413847i
\(357\) 7.11478e7 + 2.14585e7i 1.56371 + 0.471622i
\(358\) 3.63731e6 0.0792741
\(359\) −2.88160e7 1.66369e7i −0.622802 0.359575i 0.155157 0.987890i \(-0.450412\pi\)
−0.777959 + 0.628315i \(0.783745\pi\)
\(360\) 1.18207e7 3.73575e6i 0.253359 0.0800700i
\(361\) 2.56300e6 + 4.43924e6i 0.0544787 + 0.0943599i
\(362\) 6.09287e6 + 3.51772e6i 0.128439 + 0.0741542i
\(363\) 5.10557e7 + 6.35705e7i 1.06739 + 1.32903i
\(364\) 2.43072e7 1.89052e6i 0.504000 0.0391993i
\(365\) 739293.i 0.0152033i
\(366\) 64871.7 + 420543.i 0.00132316 + 0.00857762i
\(367\) −1.93272e7 3.34757e7i −0.390995 0.677223i 0.601586 0.798808i \(-0.294536\pi\)
−0.992581 + 0.121585i \(0.961202\pi\)
\(368\) 4.23268e6 2.44374e6i 0.0849322 0.0490356i
\(369\) −4.85642e7 + 5.30697e7i −0.966578 + 1.05625i
\(370\) 4.47998e6 0.0884446
\(371\) 4.82652e6 + 6.20564e7i 0.0945175 + 1.21525i
\(372\) −1.71693e7 2.13779e7i −0.333522 0.415275i
\(373\) 9.17475e6 1.58911e7i 0.176794 0.306216i −0.763987 0.645232i \(-0.776761\pi\)
0.940781 + 0.339016i \(0.110094\pi\)
\(374\) −1.88967e7 + 1.09100e7i −0.361220 + 0.208550i
\(375\) −5.32124e7 2.06727e7i −1.00907 0.392015i
\(376\) 4.56725e6 7.91071e6i 0.0859194 0.148817i
\(377\) 1.61945e7i 0.302235i
\(378\) 4.09742e6 7.31791e6i 0.0758639 0.135491i
\(379\) 2.88594e7 0.530115 0.265058 0.964233i \(-0.414609\pi\)
0.265058 + 0.964233i \(0.414609\pi\)
\(380\) −3.79095e7 2.18871e7i −0.690872 0.398875i
\(381\) 8.87480e6 2.28441e7i 0.160466 0.413047i
\(382\) 6.59479e6 + 1.14225e7i 0.118307 + 0.204914i
\(383\) −5.55908e7 3.20953e7i −0.989478 0.571276i −0.0843599 0.996435i \(-0.526885\pi\)
−0.905118 + 0.425160i \(0.860218\pi\)
\(384\) −2.57925e7 + 2.07148e7i −0.455512 + 0.365837i
\(385\) 3.50568e7 7.33245e7i 0.614314 1.28489i
\(386\) 1.30504e7i 0.226915i
\(387\) −3.34240e7 3.05864e7i −0.576668 0.527710i
\(388\) 1.68408e7 + 2.91691e7i 0.288315 + 0.499377i
\(389\) −6.23015e7 + 3.59698e7i −1.05840 + 0.611068i −0.924989 0.379993i \(-0.875926\pi\)
−0.133411 + 0.991061i \(0.542593\pi\)
\(390\) −4.08389e6 + 629969.i −0.0688462 + 0.0106200i
\(391\) −1.03151e7 −0.172561
\(392\) −1.43845e7 + 1.16046e7i −0.238802 + 0.192652i
\(393\) −1.61493e7 + 1.29700e7i −0.266057 + 0.213680i
\(394\) −8.42410e6 + 1.45910e7i −0.137732 + 0.238559i
\(395\) 3.44413e7 1.98847e7i 0.558841 0.322647i
\(396\) −3.00330e7 9.50308e7i −0.483630 1.53031i
\(397\) 2.95904e7 5.12520e7i 0.472910 0.819105i −0.526609 0.850108i \(-0.676537\pi\)
0.999519 + 0.0310029i \(0.00987010\pi\)
\(398\) 8.28338e6i 0.131389i
\(399\) −5.83727e7 + 1.37089e7i −0.918948 + 0.215816i
\(400\) 1.48544e7 0.232101
\(401\) 2.30420e7 + 1.33033e7i 0.357345 + 0.206313i 0.667915 0.744237i \(-0.267187\pi\)
−0.310571 + 0.950550i \(0.600520\pi\)
\(402\) 1.17804e7 + 4.57663e6i 0.181336 + 0.0704478i
\(403\) 9.25227e6 + 1.60254e7i 0.141362 + 0.244847i
\(404\) 6.02341e7 + 3.47762e7i 0.913478 + 0.527397i
\(405\) 2.42428e7 5.21710e7i 0.364937 0.785352i
\(406\) −3.42969e6 5.00008e6i −0.0512480 0.0747135i
\(407\) 7.29223e7i 1.08163i
\(408\) 3.36376e7 5.18885e6i 0.495274 0.0763995i
\(409\) −5.28985e6 9.16229e6i −0.0773167 0.133917i 0.824775 0.565462i \(-0.191302\pi\)
−0.902091 + 0.431545i \(0.857969\pi\)
\(410\) −1.14921e7 + 6.63495e6i −0.166743 + 0.0962690i
\(411\) 6.12841e6 + 3.97285e7i 0.0882719 + 0.572239i
\(412\) 2.36550e7 0.338245
\(413\) −3.91615e6 5.03515e7i −0.0555916 0.714763i
\(414\) −251208. + 1.13672e6i −0.00354024 + 0.0160197i
\(415\) −1.81925e7 + 3.15103e7i −0.254535 + 0.440868i
\(416\) 1.45645e7 8.40881e6i 0.202309 0.116803i
\(417\) −2.82681e7 + 7.27633e7i −0.389842 + 1.00347i
\(418\) 8.80293e6 1.52471e7i 0.120531 0.208766i
\(419\) 6.08521e6i 0.0827244i 0.999144 + 0.0413622i \(0.0131698\pi\)
−0.999144 + 0.0413622i \(0.986830\pi\)
\(420\) −4.56307e7 + 4.28747e7i −0.615899 + 0.578700i
\(421\) 8.73524e7 1.17065 0.585327 0.810797i \(-0.300966\pi\)
0.585327 + 0.810797i \(0.300966\pi\)
\(422\) −4.77990e6 2.75968e6i −0.0636036 0.0367216i
\(423\) −1.27736e7 4.04185e7i −0.168769 0.534022i
\(424\) 1.42538e7 + 2.46884e7i 0.186997 + 0.323888i
\(425\) −2.71503e7 1.56752e7i −0.353678 0.204196i
\(426\) 2.48305e6 + 3.09170e6i 0.0321186 + 0.0399916i
\(427\) −2.46136e6 3.58837e6i −0.0316149 0.0460908i
\(428\) 6.52000e7i 0.831604i
\(429\) 1.02542e7 + 6.64749e7i 0.129877 + 0.841949i
\(430\) −4.17879e6 7.23787e6i −0.0525587 0.0910344i
\(431\) −5.46582e6 + 3.15569e6i −0.0682690 + 0.0394151i −0.533746 0.845645i \(-0.679216\pi\)
0.465477 + 0.885060i \(0.345883\pi\)
\(432\) −4.81960e6 + 7.46810e7i −0.0597805 + 0.926315i
\(433\) −9.75057e7 −1.20107 −0.600533 0.799600i \(-0.705045\pi\)
−0.600533 + 0.799600i \(0.705045\pi\)
\(434\) −6.25053e6 2.98841e6i −0.0764623 0.0365570i
\(435\) −2.60430e7 3.24267e7i −0.316391 0.393945i
\(436\) −5.89378e7 + 1.02083e8i −0.711106 + 1.23167i
\(437\) 7.20783e6 4.16144e6i 0.0863695 0.0498655i
\(438\) −213524. 82952.6i −0.00254111 0.000987206i
\(439\) 6.34165e7 1.09841e8i 0.749564 1.29828i −0.198468 0.980107i \(-0.563597\pi\)
0.948032 0.318175i \(-0.103070\pi\)
\(440\) 3.72235e7i 0.436978i
\(441\) −5.33612e6 + 8.56000e7i −0.0622171 + 0.998063i
\(442\) −1.13448e7 −0.131380
\(443\) 1.43914e8 + 8.30887e7i 1.65536 + 0.955721i 0.974816 + 0.223010i \(0.0715883\pi\)
0.680541 + 0.732710i \(0.261745\pi\)
\(444\) −2.03439e7 + 5.23661e7i −0.232426 + 0.598275i
\(445\) −1.61811e7 2.80265e7i −0.183624 0.318045i
\(446\) 1.94609e7 + 1.12358e7i 0.219361 + 0.126648i
\(447\) 1.35558e8 1.08872e8i 1.51776 1.21897i
\(448\) 3.32851e7 6.96189e7i 0.370183 0.774271i
\(449\) 6.29169e7i 0.695069i 0.937667 + 0.347535i \(0.112981\pi\)
−0.937667 + 0.347535i \(0.887019\pi\)
\(450\) −2.38862e6 + 2.61022e6i −0.0262125 + 0.0286444i
\(451\) 1.07999e8 + 1.87061e8i 1.17731 + 2.03917i
\(452\) 2.29709e7 1.32623e7i 0.248750 0.143616i
\(453\) −6.49042e7 + 1.00119e7i −0.698198 + 0.107702i
\(454\) 1.25774e6 0.0134407
\(455\) 3.48467e7 2.39023e7i 0.369936 0.253750i
\(456\) −2.14115e7 + 1.71963e7i −0.225815 + 0.181360i
\(457\) 8.96767e6 1.55325e7i 0.0939574 0.162739i −0.815216 0.579158i \(-0.803382\pi\)
0.909173 + 0.416419i \(0.136715\pi\)
\(458\) 1.62153e7 9.36192e6i 0.168783 0.0974470i
\(459\) 8.76166e7 1.31413e8i 0.906042 1.35894i
\(460\) 4.34552e6 7.52666e6i 0.0446445 0.0773266i
\(461\) 1.43451e8i 1.46420i −0.681197 0.732101i \(-0.738540\pi\)
0.681197 0.732101i \(-0.261460\pi\)
\(462\) −1.72441e7 1.83526e7i −0.174870 0.186110i
\(463\) −4.94176e7 −0.497896 −0.248948 0.968517i \(-0.580085\pi\)
−0.248948 + 0.968517i \(0.580085\pi\)
\(464\) 4.68543e7 + 2.70513e7i 0.469024 + 0.270791i
\(465\) −4.42971e7 1.72091e7i −0.440571 0.171159i
\(466\) −4.91014e6 8.50461e6i −0.0485217 0.0840420i
\(467\) −9.64861e7 5.57062e7i −0.947358 0.546957i −0.0550984 0.998481i \(-0.517547\pi\)
−0.892259 + 0.451524i \(0.850881\pi\)
\(468\) 1.11816e7 5.05969e7i 0.109085 0.493613i
\(469\) −1.28851e8 + 1.00216e7i −1.24902 + 0.0971442i
\(470\) 7.81935e6i 0.0753142i
\(471\) 1.00119e8 1.54440e7i 0.958191 0.147808i
\(472\) −1.15653e7 2.00317e7i −0.109984 0.190499i
\(473\) −1.17813e8 + 6.80196e7i −1.11330 + 0.642762i
\(474\) −1.87863e6 1.21786e7i −0.0176403 0.114356i
\(475\) 2.52956e7 0.236028
\(476\) −1.41759e8 + 9.72363e7i −1.31441 + 0.901587i
\(477\) 1.29174e8 + 2.85466e7i 1.19020 + 0.263026i
\(478\) 852321. 1.47626e6i 0.00780404 0.0135170i
\(479\) −1.19248e8 + 6.88476e7i −1.08503 + 0.626444i −0.932250 0.361816i \(-0.882157\pi\)
−0.152783 + 0.988260i \(0.548824\pi\)
\(480\) −1.56403e7 + 4.02588e7i −0.141424 + 0.364030i
\(481\) 1.89571e7 3.28347e7i 0.170348 0.295051i
\(482\) 2.41816e7i 0.215945i
\(483\) −2.72180e6 1.15895e7i −0.0241554 0.102854i
\(484\) −1.88607e8 −1.66350
\(485\) 5.05559e7 + 2.91885e7i 0.443146 + 0.255851i
\(486\) −1.23479e7 1.28557e7i −0.107569 0.111992i
\(487\) −5.85868e6 1.01475e7i −0.0507239 0.0878564i 0.839549 0.543285i \(-0.182820\pi\)
−0.890273 + 0.455428i \(0.849486\pi\)
\(488\) −1.72594e6 996472.i −0.0148514 0.00857444i
\(489\) 1.17346e8 + 1.46110e8i 1.00356 + 1.24955i
\(490\) −5.69690e6 + 1.47597e7i −0.0484229 + 0.125456i
\(491\) 1.29319e8i 1.09249i −0.837624 0.546247i \(-0.816056\pi\)
0.837624 0.546247i \(-0.183944\pi\)
\(492\) −2.53690e7 1.64459e8i −0.213014 1.38090i
\(493\) −5.70921e7 9.88864e7i −0.476470 0.825270i
\(494\) 7.92737e6 4.57687e6i 0.0657580 0.0379654i
\(495\) −1.27433e8 1.16614e8i −1.05067 0.961470i
\(496\) 6.18199e7 0.506621
\(497\) −3.65842e7 1.74911e7i −0.298006 0.142478i
\(498\) 7.05955e6 + 8.79000e6i 0.0571596 + 0.0711706i
\(499\) −8.86317e7 + 1.53515e8i −0.713325 + 1.23552i 0.250277 + 0.968174i \(0.419478\pi\)
−0.963602 + 0.267341i \(0.913855\pi\)
\(500\) 1.14362e8 6.60272e7i 0.914899 0.528217i
\(501\) −1.04500e8 4.05975e7i −0.831002 0.322839i
\(502\) 6.41330e6 1.11082e7i 0.0506956 0.0878074i
\(503\) 8.30280e6i 0.0652410i −0.999468 0.0326205i \(-0.989615\pi\)
0.999468 0.0326205i \(-0.0103853\pi\)
\(504\) 1.47057e7 + 3.64243e7i 0.114867 + 0.284511i
\(505\) 1.20548e8 0.936022
\(506\) 3.02720e6 + 1.74776e6i 0.0233663 + 0.0134905i
\(507\) 3.45298e7 8.88813e7i 0.264954 0.682003i
\(508\) 2.83455e7 + 4.90959e7i 0.216219 + 0.374502i
\(509\) 1.01513e8 + 5.86088e7i 0.769786 + 0.444436i 0.832798 0.553577i \(-0.186737\pi\)
−0.0630124 + 0.998013i \(0.520071\pi\)
\(510\) 2.27160e7 1.82440e7i 0.171246 0.137534i
\(511\) 2.33546e6 181644.i 0.0175029 0.00136131i
\(512\) 9.44104e7i 0.703412i
\(513\) −8.20729e6 + 1.27174e8i −0.0607922 + 0.941991i
\(514\) 1.17902e7 + 2.04212e7i 0.0868224 + 0.150381i
\(515\) 3.55061e7 2.04994e7i 0.259945 0.150079i
\(516\) 1.03579e8 1.59778e7i 0.753914 0.116297i
\(517\) −1.27278e8 −0.921049
\(518\) 1.10073e6 + 1.41525e7i 0.00791937 + 0.101822i
\(519\) 7.39773e6 5.94137e6i 0.0529171 0.0424996i
\(520\) 9.67674e6 1.67606e7i 0.0688207 0.119201i
\(521\) −5.22388e6 + 3.01601e6i −0.0369386 + 0.0213265i −0.518356 0.855165i \(-0.673456\pi\)
0.481417 + 0.876492i \(0.340122\pi\)
\(522\) −1.22877e7 + 3.88333e6i −0.0863891 + 0.0273019i
\(523\) −6.69438e7 + 1.15950e8i −0.467956 + 0.810524i −0.999329 0.0366141i \(-0.988343\pi\)
0.531374 + 0.847138i \(0.321676\pi\)
\(524\) 4.79132e7i 0.333013i
\(525\) 1.04478e7 3.46408e7i 0.0722017 0.239392i
\(526\) −8.85172e6 −0.0608234
\(527\) −1.12992e8 6.52358e7i −0.771996 0.445712i
\(528\) 2.09455e8 + 8.13719e7i 1.42295 + 0.552806i
\(529\) −7.31917e7 1.26772e8i −0.494419 0.856358i
\(530\) 2.11339e7 + 1.22016e7i 0.141955 + 0.0819578i
\(531\) −1.04810e8 2.31622e7i −0.700031 0.154702i
\(532\) 5.98280e7 1.25136e8i 0.397347 0.831086i
\(533\) 1.12304e8i 0.741672i
\(534\) −9.91026e6 + 1.52873e6i −0.0650821 + 0.0100394i
\(535\) 5.65024e7 + 9.78650e7i 0.368982 + 0.639096i
\(536\) −5.12618e7 + 2.95960e7i −0.332889 + 0.192194i
\(537\) 1.20522e7 + 7.81303e7i 0.0778291 + 0.504541i
\(538\) 3.24970e7 0.208688
\(539\) 2.40249e8 + 9.27305e7i 1.53425 + 0.592183i
\(540\) 5.89776e7 + 1.19293e8i 0.374547 + 0.757588i
\(541\) 1.20863e7 2.09341e7i 0.0763313 0.132210i −0.825333 0.564646i \(-0.809013\pi\)
0.901664 + 0.432436i \(0.142346\pi\)
\(542\) 5.41004e6 3.12349e6i 0.0339784 0.0196174i
\(543\) −5.53729e7 + 1.42532e8i −0.345858 + 0.890254i
\(544\) −5.92887e7 + 1.02691e8i −0.368278 + 0.637876i
\(545\) 2.04302e8i 1.26207i
\(546\) −2.99351e6 1.27464e7i −0.0183909 0.0783088i
\(547\) 1.31155e8 0.801351 0.400676 0.916220i \(-0.368775\pi\)
0.400676 + 0.916220i \(0.368775\pi\)
\(548\) −8.05296e7 4.64938e7i −0.489343 0.282523i
\(549\) −8.81842e6 + 2.78692e6i −0.0532934 + 0.0168426i
\(550\) 5.31193e6 + 9.20053e6i 0.0319274 + 0.0553000i
\(551\) 7.97881e7 + 4.60657e7i 0.476961 + 0.275374i
\(552\) −3.41421e6 4.25110e6i −0.0202989 0.0252746i
\(553\) 7.12789e7 + 1.03916e8i 0.421489 + 0.614480i
\(554\) 1.06911e7i 0.0628775i
\(555\) 1.48444e7 + 9.62312e7i 0.0868325 + 0.562908i
\(556\) −9.02864e7 1.56381e8i −0.525289 0.909826i
\(557\) 7.49781e7 4.32886e7i 0.433879 0.250500i −0.267119 0.963664i \(-0.586072\pi\)
0.700998 + 0.713163i \(0.252738\pi\)
\(558\) −9.94074e6 + 1.08630e7i −0.0572158 + 0.0625240i
\(559\) −7.07303e7 −0.404921
\(560\) −1.09466e7 1.40745e8i −0.0623328 0.801437i
\(561\) −2.96964e8 3.69756e8i −1.68196 2.09424i
\(562\) 1.16944e7 2.02552e7i 0.0658821 0.114111i
\(563\) 5.53262e7 3.19426e7i 0.310031 0.178997i −0.336909 0.941537i \(-0.609382\pi\)
0.646941 + 0.762540i \(0.276048\pi\)
\(564\) 9.13996e7 + 3.55082e7i 0.509456 + 0.197921i
\(565\) 2.29862e7 3.98132e7i 0.127445 0.220740i
\(566\) 6.14038e6i 0.0338646i
\(567\) 1.70767e8 + 6.37659e7i 0.936818 + 0.349816i
\(568\) −1.85721e7 −0.101348
\(569\) −5.60028e7 3.23332e7i −0.303999 0.175514i 0.340239 0.940339i \(-0.389492\pi\)
−0.644238 + 0.764825i \(0.722825\pi\)
\(570\) −8.51294e6 + 2.19127e7i −0.0459679 + 0.118323i
\(571\) 1.59059e8 + 2.75498e8i 0.854377 + 1.47982i 0.877222 + 0.480086i \(0.159394\pi\)
−0.0228445 + 0.999739i \(0.507272\pi\)
\(572\) −1.34744e8 7.77947e7i −0.719983 0.415683i
\(573\) −2.23507e8 + 1.79506e8i −1.18803 + 0.954147i
\(574\) −2.37837e7 3.46738e7i −0.125761 0.183344i
\(575\) 5.02226e6i 0.0264177i
\(576\) −1.20993e8 1.10721e8i −0.633129 0.579378i
\(577\) −3.45345e7 5.98155e7i −0.179774 0.311377i 0.762029 0.647542i \(-0.224203\pi\)
−0.941803 + 0.336166i \(0.890870\pi\)
\(578\) 4.33051e7 2.50022e7i 0.224262 0.129478i
\(579\) 2.80327e8 4.32424e7i 1.44421 0.222779i
\(580\) 9.62066e7 0.493084
\(581\) −1.04012e8 4.97289e7i −0.530343 0.253560i
\(582\) 1.41029e7 1.13265e7i 0.0715385 0.0574550i
\(583\) 1.98610e8 3.44003e8i 1.00230 1.73603i
\(584\) 929135. 536436.i 0.00466488 0.00269327i
\(585\) −2.70638e7 8.56356e7i −0.135183 0.427747i
\(586\) 4.33825e6 7.51407e6i 0.0215587 0.0373407i
\(587\) 1.92773e7i 0.0953085i −0.998864 0.0476543i \(-0.984825\pi\)
0.998864 0.0476543i \(-0.0151746\pi\)
\(588\) −1.46655e8 1.33615e8i −0.721381 0.657240i
\(589\) 1.05273e8 0.515195
\(590\) −1.71476e7 9.90019e6i −0.0834926 0.0482045i
\(591\) −3.41331e8 1.32605e8i −1.65353 0.642388i
\(592\) −6.33318e7 1.09694e8i −0.305251 0.528710i
\(593\) −1.49484e8 8.63049e7i −0.716856 0.413877i 0.0967384 0.995310i \(-0.469159\pi\)
−0.813594 + 0.581433i \(0.802492\pi\)
\(594\) −4.79793e7 + 2.37207e7i −0.228926 + 0.113179i
\(595\) −1.28514e8 + 2.68800e8i −0.610100 + 1.27608i
\(596\) 4.02187e8i 1.89972i
\(597\) −1.77929e8 + 2.74468e7i −0.836227 + 0.128994i
\(598\) 908705. + 1.57392e6i 0.00424932 + 0.00736004i
\(599\) 1.36708e8 7.89282e7i 0.636081 0.367242i −0.147022 0.989133i \(-0.546969\pi\)
0.783103 + 0.621892i \(0.213636\pi\)
\(600\) −2.52637e6 1.63777e7i −0.0116962 0.0758225i
\(601\) 2.47655e8 1.14084 0.570419 0.821354i \(-0.306781\pi\)
0.570419 + 0.821354i \(0.306781\pi\)
\(602\) 2.18381e7 1.49793e7i 0.100098 0.0686599i
\(603\) −5.92728e7 + 2.68211e8i −0.270336 + 1.22328i
\(604\) 7.59566e7 1.31561e8i 0.344710 0.597056i
\(605\) −2.83098e8 + 1.63447e8i −1.27841 + 0.738091i
\(606\) 1.35261e7 3.48169e7i 0.0607793 0.156449i
\(607\) 2.35808e7 4.08432e7i 0.105437 0.182622i −0.808480 0.588524i \(-0.799709\pi\)
0.913917 + 0.405902i \(0.133043\pi\)
\(608\) 9.56761e7i 0.425689i
\(609\) 9.60388e7 9.02384e7i 0.425202 0.399521i
\(610\) −1.70601e6 −0.00751608
\(611\) −5.73095e7 3.30877e7i −0.251248 0.145058i
\(612\) 1.10098e8 + 3.48372e8i 0.480312 + 1.51981i
\(613\) −4.17964e7 7.23936e7i −0.181450 0.314281i 0.760924 0.648841i \(-0.224746\pi\)
−0.942375 + 0.334559i \(0.891413\pi\)
\(614\) −5.80989e7 3.35434e7i −0.250994 0.144911i
\(615\) −1.80599e8 2.24868e8i −0.776410 0.966724i
\(616\) 1.17591e8 9.14578e6i 0.503074 0.0391272i
\(617\) 1.66236e8i 0.707735i −0.935296 0.353868i \(-0.884866\pi\)
0.935296 0.353868i \(-0.115134\pi\)
\(618\) −1.93671e6 1.25551e7i −0.00820537 0.0531928i
\(619\) −1.12065e8 1.94102e8i −0.472496 0.818387i 0.527009 0.849860i \(-0.323314\pi\)
−0.999505 + 0.0314728i \(0.989980\pi\)
\(620\) 9.52019e7 5.49648e7i 0.399457 0.230627i
\(621\) −2.52495e7 1.62950e6i −0.105433 0.00680423i
\(622\) −4.86065e7 −0.201987
\(623\) 8.45615e7 5.80030e7i 0.349710 0.239876i
\(624\) 7.31574e7 + 9.10898e7i 0.301096 + 0.374900i
\(625\) 8.39154e7 1.45346e8i 0.343718 0.595336i
\(626\) −2.08336e7 + 1.20283e7i −0.0849263 + 0.0490322i
\(627\) 3.56680e8 + 1.38568e8i 1.44703 + 0.562161i
\(628\) −1.17167e8 + 2.02940e8i −0.473073 + 0.819386i
\(629\) 2.67325e8i 1.07421i
\(630\) 2.64920e7 + 2.07085e7i 0.105948 + 0.0828185i
\(631\) −1.61761e7 −0.0643851 −0.0321926 0.999482i \(-0.510249\pi\)
−0.0321926 + 0.999482i \(0.510249\pi\)
\(632\) 4.99817e7 + 2.88570e7i 0.197998 + 0.114314i
\(633\) 4.34405e7 1.11818e8i 0.171271 0.440859i
\(634\) −2.12041e7 3.67267e7i −0.0832057 0.144116i
\(635\) 8.50929e7 + 4.91284e7i 0.332332 + 0.191872i
\(636\) −2.38594e8 + 1.91623e8i −0.927444 + 0.744863i
\(637\) 8.40703e7 + 1.04210e8i 0.325255 + 0.403171i
\(638\) 3.86941e7i 0.148999i
\(639\) −5.81830e7 + 6.35809e7i −0.222994 + 0.243682i
\(640\) −6.63153e7 1.14862e8i −0.252973 0.438162i
\(641\) 2.25480e8 1.30181e8i 0.856118 0.494280i −0.00659247 0.999978i \(-0.502098\pi\)
0.862710 + 0.505698i \(0.168765\pi\)
\(642\) 3.46054e7 5.33812e6i 0.130779 0.0201736i
\(643\) 1.62292e8 0.610471 0.305235 0.952277i \(-0.401265\pi\)
0.305235 + 0.952277i \(0.401265\pi\)
\(644\) 2.48448e7 + 1.18784e7i 0.0930203 + 0.0444735i
\(645\) 1.41625e8 1.13744e8i 0.527790 0.423886i
\(646\) −3.22706e7 + 5.58942e7i −0.119704 + 0.207333i
\(647\) −1.94540e8 + 1.12318e8i −0.718285 + 0.414702i −0.814121 0.580695i \(-0.802781\pi\)
0.0958359 + 0.995397i \(0.469448\pi\)
\(648\) 8.31587e7 7.38756e6i 0.305621 0.0271504i
\(649\) −1.61149e8 + 2.79118e8i −0.589513 + 1.02107i
\(650\) 5.52362e6i 0.0201133i
\(651\) 4.34808e7 1.44165e8i 0.157599 0.522537i
\(652\) −4.33494e8 −1.56401
\(653\) −4.95778e7 2.86237e7i −0.178052 0.102798i 0.408325 0.912837i \(-0.366113\pi\)
−0.586377 + 0.810038i \(0.699446\pi\)
\(654\) 5.90068e7 + 2.29238e7i 0.210945 + 0.0819507i
\(655\) −4.15216e7 7.19175e7i −0.147758 0.255924i
\(656\) 3.24918e8 + 1.87592e8i 1.15097 + 0.664510i
\(657\) 1.07434e6 4.86141e6i 0.00378830 0.0171422i
\(658\) 2.47017e7 1.92121e6i 0.0867060 0.00674367i
\(659\) 3.08857e8i 1.07920i −0.841922 0.539600i \(-0.818576\pi\)
0.841922 0.539600i \(-0.181424\pi\)
\(660\) 3.94906e8 6.09171e7i 1.37361 0.211889i
\(661\) 2.28169e8 + 3.95200e8i 0.790044 + 1.36840i 0.925939 + 0.377674i \(0.123276\pi\)
−0.135894 + 0.990723i \(0.543391\pi\)
\(662\) −2.90754e7 + 1.67867e7i −0.100219 + 0.0578617i
\(663\) −3.75909e7 2.43690e8i −0.128986 0.836174i
\(664\) −5.28024e7 −0.180364
\(665\) −1.86410e7 2.39675e8i −0.0633877 0.815000i
\(666\) 2.94593e7 + 6.51029e6i 0.0997238 + 0.0220383i
\(667\) −9.14601e6 + 1.58413e7i −0.0308215 + 0.0533844i
\(668\) 2.24587e8 1.29666e8i 0.753453 0.435006i
\(669\) −1.76864e8 + 4.55256e8i −0.590692 + 1.52047i
\(670\) −2.53349e7 + 4.38814e7i −0.0842355 + 0.145900i
\(671\) 2.77693e7i 0.0919173i
\(672\) −1.31022e8 3.95169e7i −0.431756 0.130219i
\(673\) −5.51219e7 −0.180833 −0.0904167 0.995904i \(-0.528820\pi\)
−0.0904167 + 0.995904i \(0.528820\pi\)
\(674\) −1.48112e7 8.55126e6i −0.0483739 0.0279287i
\(675\) −6.39829e7 4.26592e7i −0.208043 0.138708i
\(676\) 1.10286e8 + 1.91021e8i 0.357010 + 0.618359i
\(677\) 3.77212e8 + 2.17784e8i 1.21568 + 0.701874i 0.963991 0.265934i \(-0.0856804\pi\)
0.251690 + 0.967808i \(0.419014\pi\)
\(678\) −8.91973e6 1.11061e7i −0.0286195 0.0356348i
\(679\) −7.97863e7 + 1.66880e8i −0.254870 + 0.533084i
\(680\) 1.36457e8i 0.433980i
\(681\) 4.16749e6 + 2.70165e7i 0.0131957 + 0.0855437i
\(682\) 2.21067e7 + 3.82900e7i 0.0696901 + 0.120707i
\(683\) −3.62730e8 + 2.09422e8i −1.13847 + 0.657296i −0.946051 0.324017i \(-0.894966\pi\)
−0.192419 + 0.981313i \(0.561633\pi\)
\(684\) −2.17477e8 1.99014e8i −0.679588 0.621892i
\(685\) −1.61166e8 −0.501420
\(686\) −4.80264e7 1.43703e7i −0.148767 0.0445138i
\(687\) 2.54826e8 + 3.17289e8i 0.785910 + 0.978553i
\(688\) −1.18148e8 + 2.04638e8i −0.362794 + 0.628378i
\(689\) 1.78856e8 1.03263e8i 0.546823 0.315708i
\(690\) −4.35060e6 1.69018e6i −0.0132435 0.00514501i
\(691\) 4.53744e7 7.85908e7i 0.137524 0.238198i −0.789035 0.614348i \(-0.789419\pi\)
0.926559 + 0.376150i \(0.122752\pi\)
\(692\) 2.19483e7i 0.0662342i
\(693\) 3.37080e8 4.31219e8i 1.01282 1.29568i
\(694\) 1.03391e8 0.309318
\(695\) −2.71039e8 1.56484e8i −0.807379 0.466140i
\(696\) 2.18565e7 5.62596e7i 0.0648266 0.166866i
\(697\) −3.95914e8 6.85743e8i −1.16924 2.02518i
\(698\) −5.44084e7 3.14127e7i −0.159993 0.0923718i
\(699\) 1.66412e8 1.33651e8i 0.487250 0.391328i
\(700\) 4.73429e7 + 6.90203e7i 0.138026 + 0.201225i
\(701\) 4.63750e8i 1.34626i −0.739522 0.673132i \(-0.764949\pi\)
0.739522 0.673132i \(-0.235051\pi\)
\(702\) −2.77701e7 1.79217e6i −0.0802724 0.00518045i
\(703\) −1.07848e8 1.86798e8i −0.310417 0.537657i
\(704\) −4.26477e8 + 2.46227e8i −1.22230 + 0.705695i
\(705\) 1.67962e8 2.59093e7i 0.479339 0.0739415i
\(706\) 3.74944e7 0.106550
\(707\) 2.96185e7 + 3.80817e8i 0.0838118 + 1.07760i
\(708\) 1.93591e8 1.55479e8i 0.545487 0.438100i
\(709\) −4.64616e7 + 8.04739e7i −0.130363 + 0.225796i −0.923817 0.382835i \(-0.874948\pi\)
0.793453 + 0.608631i \(0.208281\pi\)
\(710\) −1.37682e7 + 7.94910e6i −0.0384683 + 0.0222097i
\(711\) 2.55374e8 8.07069e7i 0.710505 0.224544i
\(712\) 2.34823e7 4.06725e7i 0.0650579 0.112684i
\(713\) 2.09012e7i 0.0576637i
\(714\) 6.32150e7 + 6.72784e7i 0.173670 + 0.184834i
\(715\) −2.69668e8 −0.737752
\(716\) −1.58370e8 9.14349e7i −0.431453 0.249100i
\(717\) 3.45347e7 + 1.34165e7i 0.0936910 + 0.0363984i
\(718\) −2.06676e7 3.57973e7i −0.0558363 0.0967114i
\(719\) −5.60213e8 3.23439e8i −1.50718 0.870173i −0.999965 0.00835616i \(-0.997340\pi\)
−0.507219 0.861817i \(-0.669327\pi\)
\(720\) −2.92970e8 6.47442e7i −0.784919 0.173462i
\(721\) 7.34825e7 + 1.07129e8i 0.196055 + 0.285825i
\(722\) 6.36790e6i 0.0169194i
\(723\) −5.19427e8 + 8.01253e7i −1.37439 + 0.212009i
\(724\) −1.76857e8 3.06326e8i −0.466023 0.807176i
\(725\) −4.81463e7 + 2.77973e7i −0.126342 + 0.0729438i
\(726\) 1.54418e7 + 1.00104e8i 0.0403542 + 0.261603i
\(727\) 1.80307e7 0.0469256 0.0234628 0.999725i \(-0.492531\pi\)
0.0234628 + 0.999725i \(0.492531\pi\)
\(728\) 5.53251e7 + 2.64512e7i 0.143393 + 0.0685570i
\(729\) 2.35229e8 3.07834e8i 0.607168 0.794573i
\(730\) 459203. 795362.i 0.00118042 0.00204454i
\(731\) 4.31891e8 2.49352e8i 1.10566 0.638353i
\(732\) 7.74709e6 1.99414e7i 0.0197517 0.0508418i
\(733\) 6.43189e7 1.11404e8i 0.163315 0.282870i −0.772740 0.634722i \(-0.781115\pi\)
0.936056 + 0.351852i \(0.114448\pi\)
\(734\) 4.80194e7i 0.121431i
\(735\) −3.35919e8 7.34649e7i −0.846005 0.185020i
\(736\) 1.89958e7 0.0476457
\(737\) 7.14273e8 + 4.12386e8i 1.78427 + 1.03015i
\(738\) −8.52109e7 + 2.69296e7i −0.211995 + 0.0669978i
\(739\) −1.11388e8 1.92930e8i −0.275999 0.478044i 0.694388 0.719601i \(-0.255675\pi\)
−0.970387 + 0.241557i \(0.922342\pi\)
\(740\) −1.95060e8 1.12618e8i −0.481364 0.277916i
\(741\) 1.24580e8 + 1.55117e8i 0.306191 + 0.381245i
\(742\) −3.33530e7 + 6.97608e7i −0.0816438 + 0.170765i
\(743\) 6.28432e8i 1.53212i 0.642771 + 0.766059i \(0.277785\pi\)
−0.642771 + 0.766059i \(0.722215\pi\)
\(744\) −1.05140e7 6.81592e7i −0.0255300 0.165503i
\(745\) 3.48535e8 + 6.03680e8i 0.842903 + 1.45995i
\(746\) 1.97411e7 1.13976e7i 0.0475506 0.0274533i
\(747\) −1.65420e8 + 1.80767e8i −0.396849 + 0.433667i
\(748\) 1.09703e9 2.62128
\(749\) −2.95278e8 + 2.02539e8i −0.702725 + 0.482018i
\(750\) −4.44075e7 5.52928e7i −0.105262 0.131064i
\(751\) 1.86169e8 3.22454e8i 0.439528 0.761285i −0.558125 0.829757i \(-0.688479\pi\)
0.997653 + 0.0684718i \(0.0218123\pi\)
\(752\) −1.91459e8 + 1.10539e8i −0.450218 + 0.259934i
\(753\) 2.59857e8 + 1.00953e8i 0.608624 + 0.236447i
\(754\) −1.00590e7 + 1.74228e7i −0.0234662 + 0.0406446i
\(755\) 2.63296e8i 0.611791i
\(756\) −3.62361e8 + 2.15623e8i −0.838642 + 0.499034i
\(757\) −2.85777e8 −0.658779 −0.329390 0.944194i \(-0.606843\pi\)
−0.329390 + 0.944194i \(0.606843\pi\)
\(758\) 3.10482e7 + 1.79257e7i 0.0712900 + 0.0411593i
\(759\) −2.75117e7 + 7.08163e7i −0.0629205 + 0.161960i
\(760\) −5.50513e7 9.53517e7i −0.125409 0.217214i
\(761\) −5.67287e7 3.27523e7i −0.128721 0.0743170i 0.434257 0.900789i \(-0.357011\pi\)
−0.562978 + 0.826472i \(0.690344\pi\)
\(762\) 2.37372e7 1.90642e7i 0.0536494 0.0430877i
\(763\) −6.45400e8 + 5.01968e7i −1.45297 + 0.113006i
\(764\) 6.63121e8i 1.48701i
\(765\) 4.67155e8 + 4.27494e8i 1.04346 + 0.954874i