Properties

Label 21.7.h.a.2.7
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 2.7
Character \(\chi\) \(=\) 21.2
Dual form 21.7.h.a.11.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.07584 - 0.621137i) q^{2} +(26.6844 + 4.11626i) q^{3} +(-31.2284 - 54.0891i) q^{4} +(93.7473 + 54.1250i) q^{5} +(-26.1514 - 21.0031i) q^{6} +(147.950 - 309.451i) q^{7} +157.094i q^{8} +(695.113 + 219.680i) q^{9} +O(q^{10})\) \(q+(-1.07584 - 0.621137i) q^{2} +(26.6844 + 4.11626i) 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} +(695.113 + 219.680i) q^{9} +(-67.2381 - 116.460i) q^{10} +(1895.66 - 1094.46i) q^{11} +(-610.665 - 1571.88i) 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} +(-611.380 - 668.101i) q^{18} +(-3237.28 + 5607.13i) q^{19} -6760.95i q^{20} +(5221.73 - 7648.50i) q^{21} -2719.24 q^{22} +(1113.26 + 642.738i) q^{23} +(-646.639 + 4191.96i) 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} +(-1314.83 - 3384.43i) q^{30} +(-8129.75 - 14081.1i) q^{31} +(12797.5 - 7388.62i) q^{32} +(55089.6 - 21401.9i) 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} +(-30368.8 - 4684.61i) q^{39} +(-8502.72 + 14727.1i) q^{40} +98678.4i q^{41} +(-10368.5 + 4985.16i) q^{42} +62149.0 q^{43} +(-118397. - 68356.4i) q^{44} +(53274.8 + 58217.4i) 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} +(-201952. + 78457.2i) q^{51} +(35540.3 + 61557.5i) q^{52} +(157157. - 90734.5i) q^{53} +(-13564.2 - 20344.5i) 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} +(27829.8 - 180412. i) q^{60} +(6343.16 - 10986.7i) q^{61} +20198.8i q^{62} +(170822. - 182602. i) q^{63} +224976. q^{64} +(-106692. - 61598.4i) q^{65} +(-72561.2 - 11193.1i) 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} +(-34510.3 + 109198. i) q^{72} +(3414.75 + 5914.52i) q^{73} +(35840.9 - 20692.8i) q^{74} +(-38199.6 - 98327.5i) 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} +(434923. + 305404. i) q^{81} +(61292.8 - 106162. i) q^{82} +336120. i q^{83} +(-576767. - 43588.7i) q^{84} -868634. q^{85} +(-66862.5 - 38603.1i) q^{86} +(-58573.3 + 379712. 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} +(-158976. - 409211. i) q^{93} +(36117.1 + 62556.6i) q^{94} +(-606972. + 350436. i) q^{95} +(371906. - 144483. i) q^{96} -539279. q^{97} +(22597.7 + 144395. i) q^{98} +(1.55813e6 - 344335. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - q^{3} + 382 q^{4} - 356 q^{6} + 1120 q^{7} + 1031 q^{9} + O(q^{10}) \) \( 28 q - q^{3} + 382 q^{4} - 356 q^{6} + 1120 q^{7} + 1031 q^{9} - 930 q^{10} - 404 q^{12} + 3632 q^{13} + 5450 q^{15} - 13706 q^{16} + 1612 q^{18} + 6830 q^{19} - 11333 q^{21} - 27348 q^{22} - 54498 q^{24} - 7640 q^{25} + 13268 q^{27} + 88522 q^{28} + 32380 q^{30} + 69410 q^{31} - 85459 q^{33} - 31344 q^{34} + 399028 q^{36} - 71830 q^{37} + 104570 q^{39} + 230250 q^{40} - 467782 q^{42} - 498904 q^{43} - 85375 q^{45} - 342660 q^{46} - 324728 q^{48} + 395668 q^{49} + 42177 q^{51} + 218000 q^{52} - 402122 q^{54} + 231660 q^{55} + 786782 q^{57} + 459522 q^{58} + 1021150 q^{60} + 153158 q^{61} + 179011 q^{63} - 1399412 q^{64} + 80896 q^{66} - 977098 q^{67} - 1520742 q^{69} - 139650 q^{70} - 1001352 q^{72} - 488350 q^{73} + 1434610 q^{75} + 6196280 q^{76} + 245176 q^{78} + 380762 q^{79} + 893531 q^{81} - 3665004 q^{82} + 1231496 q^{84} - 912540 q^{85} + 1452416 q^{87} - 1522482 q^{88} - 11713820 q^{90} - 1529416 q^{91} - 1690071 q^{93} - 3034044 q^{94} + 7549346 q^{96} + 7212176 q^{97} + 435866 q^{99} + O(q^{100}) \)

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 0.431251 0.902232i \(-0.358072\pi\)
−0.565731 + 0.824590i \(0.691406\pi\)
\(3\) 26.6844 + 4.11626i 0.988311 + 0.152454i
\(4\) −31.2284 54.0891i −0.487943 0.845143i
\(5\) 93.7473 + 54.1250i 0.749978 + 0.433000i 0.825686 0.564130i \(-0.190788\pi\)
−0.0757077 + 0.997130i \(0.524122\pi\)
\(6\) −26.1514 21.0031i −0.121071 0.0972366i
\(7\) 147.950 309.451i 0.431341 0.902189i
\(8\) 157.094i 0.306824i
\(9\) 695.113 + 219.680i 0.953516 + 0.301344i
\(10\) −67.2381 116.460i −0.0672381 0.116460i
\(11\) 1895.66 1094.46i 1.42424 0.822283i 0.427579 0.903978i \(-0.359367\pi\)
0.996657 + 0.0816949i \(0.0260333\pi\)
\(12\) −610.665 1571.88i −0.353394 0.909652i
\(13\) −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 −0.995805 0.0914999i \(-0.970834\pi\)
−0.418661 + 0.908142i \(0.637501\pi\)
\(18\) −611.380 668.101i −0.104832 0.114558i
\(19\) −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
\(21\) 5221.73 7648.50i 0.563841 0.825883i
\(22\) −2719.24 −0.255375
\(23\) 1113.26 + 642.738i 0.0914979 + 0.0528263i 0.545051 0.838403i \(-0.316510\pi\)
−0.453553 + 0.891229i \(0.649844\pi\)
\(24\) −646.639 + 4191.96i −0.0467766 + 0.303238i
\(25\) −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 \(0.0942291\pi\)
−0.956502 + 0.291725i \(0.905771\pi\)
\(30\) −1314.83 3384.43i −0.0486974 0.125349i
\(31\) −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
\(33\) 55089.6 21401.9i 1.53295 0.595541i
\(34\) 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
\(39\) −30368.8 4684.61i −0.511958 0.0789732i
\(40\) −8502.72 + 14727.1i −0.132855 + 0.230112i
\(41\) 98678.4i 1.43176i 0.698223 + 0.715881i \(0.253975\pi\)
−0.698223 + 0.715881i \(0.746025\pi\)
\(42\) −10368.5 + 4985.16i −0.139949 + 0.0672871i
\(43\) 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
\(45\) 53274.8 + 58217.4i 0.584634 + 0.638874i
\(46\) −798.457 1382.97i −0.00820310 0.0142082i
\(47\) −50356.5 29073.3i −0.485023 0.280028i 0.237485 0.971391i \(-0.423677\pi\)
−0.722507 + 0.691363i \(0.757010\pi\)
\(48\) −64281.6 + 80038.4i −0.581250 + 0.723727i
\(49\) −73870.6 91566.5i −0.627890 0.778302i
\(50\) 4853.48i 0.0388278i
\(51\) −201952. + 78457.2i −1.52243 + 0.591455i
\(52\) 35540.3 + 61557.5i 0.252761 + 0.437795i
\(53\) 157157. 90734.5i 1.05561 0.609459i 0.131399 0.991330i \(-0.458053\pi\)
0.924216 + 0.381870i \(0.124720\pi\)
\(54\) −13564.2 20344.5i −0.0861418 0.129201i
\(55\) 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 −0.777209 0.629243i \(-0.783365\pi\)
0.156336 + 0.987704i \(0.450032\pi\)
\(60\) 27829.8 180412.i 0.128842 0.835239i
\(61\) 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
\(63\) 170822. 182602.i 0.683159 0.730269i
\(64\) 224976. 0.858214
\(65\) −106692. 61598.4i −0.388499 0.224300i
\(66\) −72561.2 11193.1i −0.252390 0.0389330i
\(67\) −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 \(0.0528131\pi\)
−0.986267 + 0.165157i \(0.947187\pi\)
\(72\) −34510.3 + 109198.i −0.0924595 + 0.292562i
\(73\) 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
\(75\) −38199.6 98327.5i −0.0905473 0.233073i
\(76\) 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
\(81\) 434923. + 305404.i 0.818384 + 0.574672i
\(82\) 61292.8 106162.i 0.111165 0.192544i
\(83\) 336120.i 0.587841i 0.955830 + 0.293920i \(0.0949600\pi\)
−0.955830 + 0.293920i \(0.905040\pi\)
\(84\) −576767. 43588.7i −0.973112 0.0735421i
\(85\) −868634. −1.41443
\(86\) −66862.5 38603.1i −0.105120 0.0606913i
\(87\) −58573.3 + 379712.i −0.0889492 + 0.576629i
\(88\) 171933. + 297797.i 0.252296 + 0.436990i
\(89\) −258905. 149479.i −0.367258 0.212036i 0.305002 0.952352i \(-0.401343\pi\)
−0.672260 + 0.740315i \(0.734676\pi\)
\(90\) −21154.2 95723.6i −0.0290182 0.131308i
\(91\) −168378. + 352178.i −0.223441 + 0.467346i
\(92\) 80286.7i 0.103105i
\(93\) −158976. 409211.i −0.197643 0.508743i
\(94\) 36117.1 + 62556.6i 0.0434839 + 0.0753164i
\(95\) −606972. + 350436.i −0.707942 + 0.408731i
\(96\) 371906. 144483.i 0.420358 0.163307i
\(97\) −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 0.0473294 0.998879i \(-0.484929\pi\)
0.888720 + 0.458451i \(0.151596\pi\)
\(102\) 266001. + 41032.6i 0.250659 + 0.0386659i
\(103\) −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
\(105\) 903499. 434400.i 0.780476 0.375251i
\(106\) −225434. −0.189279
\(107\) 904064. + 521962.i 0.737985 + 0.426076i 0.821336 0.570444i \(-0.193229\pi\)
−0.0833510 + 0.996520i \(0.526562\pi\)
\(108\) −79171.6 1.22678e6i −0.0628489 0.973861i
\(109\) −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 \(-0.952985\pi\)
0.989112 0.147164i \(-0.0470147\pi\)
\(114\) 202427. 78641.4i 0.136632 0.0530807i
\(115\) 69576.4 + 120510.i 0.0457476 + 0.0792372i
\(116\) 769675. 444372.i 0.493098 0.284690i
\(117\) −791091. 250012.i −0.493934 0.156100i
\(118\) 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
\(123\) −406186. + 2.63317e6i −0.218278 + 1.41502i
\(124\) −507758. + 879463.i −0.266313 + 0.461267i
\(125\) 2.11433e6i 1.08254i
\(126\) −297198. + 90346.5i −0.148571 + 0.0451648i
\(127\) −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
\(129\) 1.65841e6 + 255821.i 0.772543 + 0.119170i
\(130\) 76522.1 + 132540.i 0.0348303 + 0.0603278i
\(131\) −664364. 383571.i −0.295524 0.170621i 0.344906 0.938637i \(-0.387911\pi\)
−0.640430 + 0.768016i \(0.721244\pi\)
\(132\) −2.87797e6 2.31140e6i −1.25131 1.00497i
\(133\) 1.25618e6 + 1.83135e6i 0.533944 + 0.778426i
\(134\) 468082.i 0.194539i
\(135\) 1.18197e6 + 1.77279e6i 0.480401 + 0.720535i
\(136\) −630287. 1.09169e6i −0.250566 0.433993i
\(137\) −1.28937e6 + 744416.i −0.501435 + 0.289503i −0.729306 0.684188i \(-0.760157\pi\)
0.227871 + 0.973691i \(0.426824\pi\)
\(138\) −15613.7 40190.3i −0.00594112 0.0152927i
\(139\) 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
\(144\) −2.04477e6 + 1.87118e6i −0.684791 + 0.626653i
\(145\) −770186. + 1.33400e6i −0.252634 + 0.437575i
\(146\) 8484.11i 0.00272614i
\(147\) −1.59428e6 2.74747e6i −0.501895 0.864929i
\(148\) 2.08070e6 0.641837
\(149\) 5.57672e6 + 3.21972e6i 1.68585 + 0.973329i 0.957635 + 0.287985i \(0.0929854\pi\)
0.728220 + 0.685344i \(0.240348\pi\)
\(150\) −19978.1 + 129512.i −0.00591945 + 0.0383739i
\(151\) 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
\(156\) 694983. + 1.78892e6i 0.183063 + 0.471212i
\(157\) −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
\(159\) 4.56712e6 1.77430e6i 1.13619 0.441403i
\(160\) 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
\(165\) 6.32288e6 + 975349.i 1.40755 + 0.217124i
\(166\) 208776. 361611.i 0.0456412 0.0790529i
\(167\) 4.15217e6i 0.891509i −0.895155 0.445755i \(-0.852935\pi\)
0.895155 0.445755i \(-0.147065\pi\)
\(168\) 1.20153e6 + 820303.i 0.253401 + 0.173000i
\(169\) −3.53159e6 −0.731662
\(170\) 934512. + 539541.i 0.190212 + 0.109819i
\(171\) −3.48205e6 + 3.18642e6i −0.696380 + 0.637258i
\(172\) −1.94081e6 3.36159e6i −0.381416 0.660631i
\(173\) 304335. + 175708.i 0.0587778 + 0.0339354i 0.529101 0.848559i \(-0.322529\pi\)
−0.470323 + 0.882494i \(0.655863\pi\)
\(174\) 298869. 372128.i 0.0567327 0.0706390i
\(175\) −1.33604e6 + 103912.i −0.249290 + 0.0193889i
\(176\) 8.32244e6i 1.52656i
\(177\) −3.70568e6 + 1.43963e6i −0.668263 + 0.259616i
\(178\) 185694. + 321632.i 0.0329259 + 0.0570294i
\(179\) −2.53567e6 + 1.46397e6i −0.442114 + 0.255255i −0.704494 0.709710i \(-0.748826\pi\)
0.262380 + 0.964965i \(0.415493\pi\)
\(180\) 1.48524e6 4.69962e6i 0.254671 0.805834i
\(181\) 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
\(186\) −83143.3 + 538992.i −0.0129208 + 0.0837613i
\(187\) −8.78230e6 + 1.52114e7i −1.34302 + 2.32618i
\(188\) 3.63165e6i 0.546551i
\(189\) 5.30991e6 4.16947e6i 0.786506 0.617582i
\(190\) 870674. 0.126939
\(191\) −9.19484e6 5.30864e6i −1.31960 0.761874i −0.335940 0.941883i \(-0.609054\pi\)
−0.983665 + 0.180009i \(0.942387\pi\)
\(192\) 6.00334e6 + 926057.i 0.848182 + 0.130838i
\(193\) −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 \(-0.652809\pi\)
0.461834 0.886966i \(-0.347191\pi\)
\(198\) −1.89018e6 597361.i −0.243504 0.0769558i
\(199\) 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
\(201\) −3.68407e6 9.48296e6i −0.453670 1.16777i
\(202\) −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
\(207\) 632642. + 691335.i 0.0713258 + 0.0779431i
\(208\) 2.16353e6 3.74734e6i 0.240421 0.416421i
\(209\) 1.41723e7i 1.55239i
\(210\) −1.24184e6 93851.3i −0.134094 0.0101340i
\(211\) −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
\(213\) −486636. + 3.15471e6i −0.0503577 + 0.326453i
\(214\) −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
\(219\) 66774.8 + 171881.i 0.00635741 + 0.0163643i
\(220\) −7.39958e6 1.28164e7i −0.694927 1.20365i
\(221\) 7.90880e6 4.56615e6i 0.732713 0.423032i
\(222\) 1.04157e6 404643.i 0.0951983 0.0369839i
\(223\) 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 −0.537011 0.843575i \(-0.680447\pi\)
0.462052 + 0.886853i \(0.347113\pi\)
\(228\) 1.07906e7 + 1.66453e6i 0.910421 + 0.140439i
\(229\) 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
\(231\) 1.52765e6 2.02139e7i 0.123933 1.63989i
\(232\) −2.23541e6 −0.179016
\(233\) 6.84600e6 + 3.95254e6i 0.541214 + 0.312470i 0.745571 0.666426i \(-0.232177\pi\)
−0.204357 + 0.978896i \(0.565510\pi\)
\(234\) 695797. + 760349.i 0.0543044 + 0.0593425i
\(235\) −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 \(0.0160039\pi\)
−0.998736 + 0.0502564i \(0.983996\pi\)
\(240\) −1.03583e7 + 4.02414e6i −0.749299 + 0.291098i
\(241\) 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
\(243\) 1.03485e7 + 9.93978e6i 0.721207 + 0.692720i
\(244\) −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
\(249\) −1.38355e6 + 8.96914e6i −0.0896186 + 0.580969i
\(250\) −1.31329e6 + 2.27469e6i −0.0840506 + 0.145580i
\(251\) 1.03251e7i 0.652939i 0.945208 + 0.326470i \(0.105859\pi\)
−0.945208 + 0.326470i \(0.894141\pi\)
\(252\) −1.52113e7 3.53726e6i −0.950525 0.221037i
\(253\) 2.81380e6 0.173753
\(254\) 976524. + 563797.i 0.0595912 + 0.0344050i
\(255\) −2.31790e7 3.57552e6i −1.39789 0.215635i
\(256\) −6.43819e6 1.11513e7i −0.383746 0.664667i
\(257\) −1.64386e7 9.49082e6i −0.968423 0.559119i −0.0696675 0.997570i \(-0.522194\pi\)
−0.898755 + 0.438451i \(0.855527\pi\)
\(258\) −1.62528e6 1.30532e6i −0.0946391 0.0760079i
\(259\) 6.46355e6 + 9.42308e6i 0.372025 + 0.542367i
\(260\) 7.69447e6i 0.437783i
\(261\) −3.12599e6 + 9.89128e6i −0.175819 + 0.556328i
\(262\) 476500. + 825323.i 0.0264947 + 0.0458902i
\(263\) 6.17079e6 3.56271e6i 0.339214 0.195845i −0.320710 0.947177i \(-0.603922\pi\)
0.659924 + 0.751332i \(0.270588\pi\)
\(264\) 3.36212e6 + 8.65424e6i 0.182726 + 0.470346i
\(265\) 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 −0.952225 0.305397i \(-0.901211\pi\)
−0.211631 + 0.977350i \(0.567878\pi\)
\(270\) −170465. 2.64140e6i −0.00866053 0.134197i
\(271\) 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
\(273\) −5.94273e6 + 8.70458e6i −0.292077 + 0.427819i
\(274\) 1.84954e6 0.0899107
\(275\) −7.40620e6 4.27597e6i −0.356121 0.205606i
\(276\) 330481. 2.14240e6i 0.0157188 0.101900i
\(277\) 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 \(0.139468\pi\)
−0.905537 + 0.424268i \(0.860532\pi\)
\(282\) 706263. + 1.81795e6i 0.0314934 + 0.0810653i
\(283\) 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
\(285\) −1.76392e7 + 6.85270e6i −0.761980 + 0.296024i
\(286\) 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
\(291\) −1.43903e7 2.21981e6i −0.583972 0.0900818i
\(292\) 213274. 369402.i 0.00856623 0.0148371i
\(293\) 6.98437e6i 0.277667i 0.990316 + 0.138833i \(0.0443353\pi\)
−0.990316 + 0.138833i \(0.955665\pi\)
\(294\) 8638.93 + 3.94610e6i 0.000339952 + 0.155284i
\(295\) −1.59388e7 −0.620854
\(296\) −4.53232e6 2.61674e6i −0.174762 0.100899i
\(297\) 4.29950e7 2.77472e6i 1.64115 0.105913i
\(298\) −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
\(303\) 2.80267e7 1.08882e7i 1.00750 0.391407i
\(304\) −1.23084e7 2.13187e7i −0.438107 0.758824i
\(305\) 1.18931e6 686647.i 0.0419174 0.0242010i
\(306\) 6.92918e6 + 2.18986e6i 0.241834 + 0.0764279i
\(307\) −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 0.183438 0.983031i \(-0.441277\pi\)
0.943049 + 0.332654i \(0.107944\pi\)
\(312\) 735924. 4.77076e6i 0.0242309 0.157081i
\(313\) −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
\(315\) 2.58974e7 7.87267e6i 0.828562 0.251878i
\(316\) 2.29456e7 0.727175
\(317\) 2.95640e7 + 1.70688e7i 0.928081 + 0.535828i 0.886204 0.463295i \(-0.153333\pi\)
0.0418770 + 0.999123i \(0.486666\pi\)
\(318\) −6.01558e6 927945.i −0.187066 0.0288563i
\(319\) 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
\(324\) 2.93711e6 3.30619e7i 0.0863546 0.972059i
\(325\) 2.22319e6 + 3.85068e6i 0.0647629 + 0.112173i
\(326\) −7.46710e6 + 4.31113e6i −0.215526 + 0.124434i
\(327\) −1.84531e7 4.74990e7i −0.527746 1.35844i
\(328\) −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
\(333\) −1.79166e7 + 1.63955e7i −0.485202 + 0.444009i
\(334\) −2.57907e6 + 4.46708e6i −0.0692187 + 0.119890i
\(335\) 4.07880e7i 1.08492i
\(336\) 1.52575e7 + 3.17337e7i 0.402221 + 0.836571i
\(337\) −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
\(339\) 1.74812e6 1.13325e7i 0.0448716 0.290888i
\(340\) 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
\(345\) 1.36055e6 + 3.50213e6i 0.0331328 + 0.0852854i
\(346\) −218277. 378067.i −0.00526963 0.00912727i
\(347\) −7.20769e7 + 4.16136e7i −1.72507 + 0.995972i −0.817703 + 0.575641i \(0.804753\pi\)
−0.907371 + 0.420331i \(0.861914\pi\)
\(348\) 2.23675e7 8.68962e6i 0.530736 0.206188i
\(349\) −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 −0.766769 0.641923i \(-0.778137\pi\)
0.172538 + 0.985003i \(0.444803\pi\)
\(354\) 4.88093e6 + 752918.i 0.110025 + 0.0169722i
\(355\) −6.39883e6 + 1.10831e7i −0.143026 + 0.247728i
\(356\) 1.86720e7i 0.413847i
\(357\) −5.60020e6 + 7.41020e7i −0.123083 + 1.62864i
\(358\) 3.63731e6 0.0792741
\(359\) 2.88160e7 + 1.66369e7i 0.622802 + 0.359575i 0.777959 0.628315i \(-0.216255\pi\)
−0.155157 + 0.987890i \(0.549588\pi\)
\(360\) −9.14560e6 + 8.36915e6i −0.196022 + 0.179380i
\(361\) 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
\(366\) −396637. + 154091.i −0.00809002 + 0.00314292i
\(367\) −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
\(369\) −2.16776e7 + 6.85926e7i −0.431452 + 1.36521i
\(370\) 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
\(375\) 8.70313e6 5.64197e7i 0.165037 1.06988i
\(376\) 4.56725e6 7.91071e6i 0.0859194 0.148817i
\(377\) 1.61945e7i 0.302235i
\(378\) −8.30244e6 + 1.18750e6i −0.153720 + 0.0219866i
\(379\) 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
\(381\) −2.42210e7 3.73626e6i −0.437942 0.0675557i
\(382\) 6.59479e6 + 1.14225e7i 0.118307 + 0.204914i
\(383\) 5.55908e7 + 3.20953e7i 0.989478 + 0.571276i 0.905118 0.425160i \(-0.139782\pi\)
0.0843599 + 0.996435i \(0.473115\pi\)
\(384\) −2.57925e7 2.07148e7i −0.455512 0.365837i
\(385\) 3.50568e7 7.33245e7i 0.614314 1.28489i
\(386\) 1.30504e7i 0.226915i
\(387\) 4.32006e7 + 1.36529e7i 0.745344 + 0.235554i
\(388\) 1.68408e7 + 2.91691e7i 0.288315 + 0.499377i
\(389\) 6.23015e7 3.59698e7i 1.05840 0.611068i 0.133411 0.991061i \(-0.457407\pi\)
0.924989 + 0.379993i \(0.124074\pi\)
\(390\) 1.49638e6 + 3.85174e6i 0.0252259 + 0.0649326i
\(391\) −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
\(396\) −6.72826e7 7.35247e7i −1.08347 1.18399i
\(397\) 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
\(399\) 2.59820e7 + 5.40393e7i 0.409028 + 0.850728i
\(400\) 1.48544e7 0.232101
\(401\) −2.30420e7 1.33033e7i −0.357345 0.206313i 0.310571 0.950550i \(-0.399480\pi\)
−0.667915 + 0.744237i \(0.732813\pi\)
\(402\) −1.92674e6 + 1.24905e7i −0.0296583 + 0.192265i
\(403\) 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
\(408\) −1.23252e7 3.17255e7i −0.181473 0.467119i
\(409\) −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
\(411\) −3.74701e7 + 1.45569e7i −0.539709 + 0.209674i
\(412\) 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
\(417\) 7.71490e7 + 1.19008e7i 1.06395 + 0.164122i
\(418\) 8.80293e6 1.52471e7i 0.120531 0.208766i
\(419\) 6.08521e6i 0.0827244i −0.999144 0.0413622i \(-0.986830\pi\)
0.999144 0.0413622i \(-0.0131698\pi\)
\(420\) −5.17111e7 3.53039e7i −0.697969 0.476513i
\(421\) 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
\(423\) −2.86166e7 3.12715e7i −0.378092 0.413170i
\(424\) 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
\(429\) −6.26961e7 + 2.43570e7i −0.794088 + 0.308498i
\(430\) −4.17879e6 7.23787e6i −0.0525587 0.0910344i
\(431\) 5.46582e6 3.15569e6i 0.0682690 0.0394151i −0.465477 0.885060i \(-0.654117\pi\)
0.533746 + 0.845645i \(0.320784\pi\)
\(432\) −6.22658e7 + 4.15144e7i −0.772322 + 0.514929i
\(433\) −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
\(438\) 34922.8 226393.i 0.000415610 0.00269427i
\(439\) 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
\(441\) −3.12331e7 7.98769e7i −0.364166 0.931334i
\(442\) −1.13448e7 −0.131380
\(443\) −1.43914e8 8.30887e7i −1.65536 0.955721i −0.974816 0.223010i \(-0.928412\pi\)
−0.680541 0.732710i \(-0.738255\pi\)
\(444\) 5.55223e7 + 8.56471e6i 0.634335 + 0.0978506i
\(445\) −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 \(-0.887019\pi\)
0.937667 0.347535i \(-0.112981\pi\)
\(450\) −1.06621e6 + 3.37371e6i −0.0117005 + 0.0370229i
\(451\) 1.07999e8 + 1.87061e8i 1.17731 + 2.03917i
\(452\) −2.29709e7 + 1.32623e7i −0.248750 + 0.143616i
\(453\) 2.37815e7 + 6.12147e7i 0.255826 + 0.658508i
\(454\) 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
\(459\) −1.57615e8 + 1.01718e7i −1.62989 + 0.105187i
\(460\) 4.34552e6 7.52666e6i 0.0446445 0.0773266i
\(461\) 1.43451e8i 1.46420i 0.681197 + 0.732101i \(0.261460\pi\)
−0.681197 + 0.732101i \(0.738540\pi\)
\(462\) −1.41991e7 + 2.07981e7i −0.143991 + 0.210910i
\(463\) −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
\(465\) 7.24499e6 4.69670e7i 0.0720575 0.467126i
\(466\) −4.91014e6 8.50461e6i −0.0485217 0.0840420i
\(467\) 9.64861e7 + 5.57062e7i 0.947358 + 0.546957i 0.892259 0.451524i \(-0.149119\pi\)
0.0550984 + 0.998481i \(0.482453\pi\)
\(468\) 1.11816e7 + 5.05969e7i 0.109085 + 0.493613i
\(469\) −1.28851e8 + 1.00216e7i −1.24902 + 0.0971442i
\(470\) 7.81935e6i 0.0753142i
\(471\) −3.66844e7 9.44272e7i −0.351090 0.903721i
\(472\) −1.15653e7 2.00317e7i −0.109984 0.190499i
\(473\) 1.17813e8 6.80196e7i 1.11330 0.642762i
\(474\) 1.14862e7 4.46234e6i 0.107856 0.0419013i
\(475\) 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 0.152783 0.988260i \(-0.451176\pi\)
0.932250 + 0.361816i \(0.117843\pi\)
\(480\) 4.26853e7 + 6.58452e6i 0.385971 + 0.0595388i
\(481\) 1.89571e7 3.28347e7i 0.170348 0.295051i
\(482\) 2.41816e7i 0.215945i
\(483\) 1.07291e7 5.15853e6i 0.0952187 0.0457809i
\(484\) −1.88607e8 −1.66350
\(485\) −5.05559e7 2.91885e7i −0.443146 0.255851i
\(486\) −4.95941e6 1.71215e7i −0.0432037 0.149153i
\(487\) −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 \(0.183944\pi\)
−0.837624 + 0.546247i \(0.816056\pi\)
\(492\) 1.55111e8 6.02595e7i 1.30241 0.505976i
\(493\) −5.70921e7 9.88864e7i −0.476470 0.825270i
\(494\) −7.92737e6 + 4.57687e6i −0.0657580 + 0.0379654i
\(495\) 1.64707e8 + 5.20532e7i 1.35799 + 0.429172i
\(496\) 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
\(501\) 1.70914e7 1.10798e8i 0.135914 0.881088i
\(502\) 6.41330e6 1.11082e7i 0.0506956 0.0878074i
\(503\) 8.30280e6i 0.0652410i 0.999468 + 0.0326205i \(0.0103853\pi\)
−0.999468 + 0.0326205i \(0.989615\pi\)
\(504\) 2.86856e7 + 2.68351e7i 0.224064 + 0.209610i
\(505\) 1.20548e8 0.936022
\(506\) −3.02720e6 1.74776e6i −0.0233663 0.0134905i
\(507\) −9.42384e7 1.45369e7i −0.723109 0.111545i
\(508\) 2.83455e7 + 4.90959e7i 0.216219 + 0.374502i
\(509\) −1.01513e8 5.86088e7i −0.769786 0.444436i 0.0630124 0.998013i \(-0.479929\pi\)
−0.832798 + 0.553577i \(0.813263\pi\)
\(510\) 2.27160e7 + 1.82440e7i 0.171246 + 0.137534i
\(511\) 2.33546e6 181644.i 0.0175029 0.00136131i
\(512\) 9.44104e7i 0.703412i
\(513\) −1.06032e8 + 7.06948e7i −0.785392 + 0.523643i
\(514\) 1.17902e7 + 2.04212e7i 0.0868224 + 0.150381i
\(515\) −3.55061e7 + 2.04994e7i −0.259945 + 0.150079i
\(516\) −3.79523e7 9.76908e7i −0.276241 0.711057i
\(517\) −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 −0.481417 0.876492i \(-0.659878\pi\)
0.518356 + 0.855165i \(0.326544\pi\)
\(522\) 9.50691e6 8.69979e6i 0.0668387 0.0611642i
\(523\) −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
\(525\) −3.60792e7 2.72665e6i −0.249332 0.0188431i
\(526\) −8.85172e6 −0.0608234
\(527\) 1.12992e8 + 6.52358e7i 0.771996 + 0.445712i
\(528\) −3.42573e7 + 2.22079e8i −0.232729 + 1.50871i
\(529\) −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
\(534\) 3.63121e6 + 9.34690e6i 0.0238467 + 0.0613824i
\(535\) 5.65024e7 + 9.78650e7i 0.368982 + 0.639096i
\(536\) 5.12618e7 2.95960e7i 0.332889 0.192194i
\(537\) −7.36889e7 + 2.86277e7i −0.475860 + 0.184869i
\(538\) 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
\(543\) 1.51123e8 + 2.33118e7i 0.943912 + 0.145605i
\(544\) −5.92887e7 + 1.02691e8i −0.368278 + 0.637876i
\(545\) 2.04302e8i 1.26207i
\(546\) 1.18002e7 5.67349e6i 0.0724954 0.0348556i
\(547\) 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
\(549\) 6.82276e6 6.24351e6i 0.0412328 0.0377322i
\(550\) 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
\(555\) −9.07609e7 + 3.52600e7i −0.530909 + 0.206255i
\(556\) −9.02864e7 1.56381e8i −0.525289 0.909826i
\(557\) −7.49781e7 + 4.32886e7i −0.433879 + 0.250500i −0.700998 0.713163i \(-0.747262\pi\)
0.267119 + 0.963664i \(0.413928\pi\)
\(558\) −4.43726e6 + 1.40404e7i −0.0255395 + 0.0808123i
\(559\) −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 −0.646941 0.762540i \(-0.723952\pi\)
0.336909 + 0.941537i \(0.390618\pi\)
\(564\) −1.49488e7 + 9.69084e7i −0.0833239 + 0.540162i
\(565\) 2.29862e7 3.98132e7i 0.127445 0.220740i
\(566\) 6.14038e6i 0.0338646i
\(567\) 1.58854e8 8.94027e7i 0.871465 0.490457i
\(568\) −1.85721e7 −0.101348
\(569\) 5.60028e7 + 3.23332e7i 0.303999 + 0.175514i 0.644238 0.764825i \(-0.277175\pi\)
−0.340239 + 0.940339i \(0.610508\pi\)
\(570\) 2.32334e7 + 3.58392e6i 0.125455 + 0.0193523i
\(571\) 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
\(576\) 1.56383e8 + 4.94225e7i 0.818320 + 0.258617i
\(577\) −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
\(579\) −1.02714e8 2.64392e8i −0.529171 1.36211i
\(580\) 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
\(585\) −6.06307e7 6.62558e7i −0.302848 0.330945i
\(586\) 4.33825e6 7.51407e6i 0.0215587 0.0373407i
\(587\) 1.92773e7i 0.0953085i 0.998864 + 0.0476543i \(0.0151746\pi\)
−0.998864 + 0.0476543i \(0.984825\pi\)
\(588\) −9.88213e7 + 1.72032e8i −0.486092 + 0.846209i
\(589\) 1.05273e8 0.515195
\(590\) 1.71476e7 + 9.90019e6i 0.0834926 + 0.0482045i
\(591\) 5.58262e7 3.61904e8i 0.270443 1.75320i
\(592\) −6.33318e7 1.09694e8i −0.305251 0.528710i
\(593\) 1.49484e8 + 8.63049e7i 0.716856 + 0.413877i 0.813594 0.581433i \(-0.197508\pi\)
−0.0967384 + 0.995310i \(0.530841\pi\)
\(594\) −4.79793e7 2.37207e7i −0.228926 0.113179i
\(595\) −1.28514e8 + 2.68800e8i −0.610100 + 1.27608i
\(596\) 4.02187e8i 1.89972i
\(597\) 6.51949e7 + 1.67815e8i 0.306401 + 0.788691i
\(598\) 908705. + 1.57392e6i 0.00424932 + 0.00736004i
\(599\) −1.36708e8 + 7.89282e7i −0.636081 + 0.367242i −0.783103 0.621892i \(-0.786364\pi\)
0.147022 + 0.989133i \(0.453031\pi\)
\(600\) 1.54467e7 6.00093e6i 0.0715123 0.0277821i
\(601\) 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
\(606\) −3.69153e7 5.69445e6i −0.165878 0.0255879i
\(607\) 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
\(609\) 1.08836e8 + 7.43040e7i 0.481861 + 0.328973i
\(610\) −1.70601e6 −0.00751608
\(611\) 5.73095e7 + 3.30877e7i 0.251248 + 0.145058i
\(612\) 2.46650e8 + 2.69533e8i 1.07604 + 1.17587i
\(613\) −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 \(0.115134\pi\)
−0.935296 + 0.353868i \(0.884866\pi\)
\(618\) 1.18413e7 4.60029e6i 0.0501690 0.0194904i
\(619\) −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
\(621\) 1.40359e7 + 2.10520e7i 0.0586093 + 0.0879059i
\(622\) −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
\(627\) −5.83367e7 + 3.78178e8i −0.236668 + 1.53424i
\(628\) −1.17167e8 + 2.02940e8i −0.473073 + 0.819386i
\(629\) 2.67325e8i 1.07421i
\(630\) −3.27515e7 7.61611e6i −0.130981 0.0304587i
\(631\) −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
\(633\) −1.18557e8 1.82883e7i −0.467430 0.0721045i
\(634\) −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
\(639\) −2.59712e7 + 8.21784e7i −0.0995381 + 0.314960i
\(640\) −6.63153e7 1.14862e8i −0.252973 0.438162i
\(641\) −2.25480e8 + 1.30181e8i −0.856118 + 0.494280i −0.862710 0.505698i \(-0.831235\pi\)
0.00659247 + 0.999978i \(0.497902\pi\)
\(642\) −1.26797e7 3.26382e7i −0.0479187 0.123345i
\(643\) 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 −0.0958359 0.995397i \(-0.530552\pi\)
0.814121 + 0.580695i \(0.197219\pi\)
\(648\) −4.79772e7 + 6.83238e7i −0.176323 + 0.251100i
\(649\) −1.61149e8 + 2.79118e8i −0.589513 + 1.02107i
\(650\) 5.52362e6i 0.0201133i
\(651\) −1.50151e8 1.13475e7i −0.544234 0.0411300i
\(652\) −4.33494e8 −1.56401
\(653\) 4.95778e7 + 2.86237e7i 0.178052 + 0.102798i 0.586377 0.810038i \(-0.300554\pi\)
−0.408325 + 0.912837i \(0.633887\pi\)
\(654\) −9.65083e6 + 6.25633e7i −0.0345010 + 0.223659i
\(655\) −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 \(0.181424\pi\)
−0.841922 + 0.539600i \(0.818576\pi\)
\(660\) −1.44697e8 3.72458e8i −0.503302 1.29552i
\(661\) 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
\(663\) 2.29837e8 8.92902e7i 0.788641 0.306382i
\(664\) −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
\(669\) 4.82695e8 + 7.44591e7i 1.61211 + 0.248679i
\(670\) −2.53349e7 + 4.38814e7i −0.0842355 + 0.145900i
\(671\) 2.77693e7i 0.0919173i
\(672\) 1.03131e7 1.36463e8i 0.0339844 0.449683i
\(673\) −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
\(675\) −4.95251e6 7.67404e7i −0.0161033 0.249524i
\(676\) 1.10286e8 + 1.91021e8i 0.357010 + 0.618359i
\(677\) −3.77212e8 2.17784e8i −1.21568 0.701874i −0.251690 0.967808i \(-0.580986\pi\)
−0.963991 + 0.265934i \(0.914320\pi\)
\(678\) −8.91973e6 + 1.11061e7i −0.0286195 + 0.0356348i
\(679\) −7.97863e7 + 1.66880e8i −0.254870 + 0.533084i
\(680\) 1.36457e8i 0.433980i
\(681\) −2.54807e7 + 9.89911e6i −0.0806809 + 0.0313440i
\(682\) 2.21067e7 + 3.82900e7i 0.0696901 + 0.120707i
\(683\) 3.62730e8 2.09422e8i 1.13847 0.657296i 0.192419 0.981313i \(-0.438367\pi\)
0.946051 + 0.324017i \(0.105034\pi\)
\(684\) 2.81090e8 + 8.88340e7i 0.878368 + 0.277594i
\(685\) −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
\(690\) 711561. 4.61283e6i 0.00216603 0.0140417i
\(691\) 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
\(693\) 1.23970e8 5.33108e8i 0.372492 1.60183i
\(694\) 1.03391e8 0.309318
\(695\) 2.71039e8 + 1.56484e8i 0.807379 + 0.466140i
\(696\) −5.96505e7 9.20152e6i −0.176924 0.0272918i
\(697\) −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 \(0.235051\pi\)
−0.739522 + 0.673132i \(0.764949\pi\)
\(702\) 1.54371e7 + 2.31535e7i 0.0446226 + 0.0669277i
\(703\) −1.07848e8 1.86798e8i −0.310417 0.537657i
\(704\) 4.26477e8 2.46227e8i 1.22230 0.705695i
\(705\) −6.15427e7 1.58414e8i −0.175634 0.452091i
\(706\) 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
\(711\) −1.97581e8 + 1.80807e8i −0.549714 + 0.503044i
\(712\) 2.34823e7 4.06725e7i 0.0650579 0.112684i
\(713\) 2.09012e7i 0.0576637i
\(714\) 5.20524e7 7.62435e7i 0.143003 0.209463i
\(715\) −2.69668e8 −0.737752
\(716\) 1.58370e8 + 9.14349e7i 0.431453 + 0.249100i
\(717\) −5.64830e6 + 3.66161e7i −0.0153236 + 0.0993379i
\(718\) −2.06676e7 3.57973e7i −0.0558363 0.0967114i
\(719\) 5.60213e8 + 3.23439e8i 1.50718 + 0.870173i 0.999965 + 0.00835616i \(0.00265988\pi\)
0.507219 + 0.861817i \(0.330673\pi\)
\(720\) −2.92970e8 + 6.47442e7i −0.784919 + 0.173462i
\(721\) 7.34825e7 + 1.07129e8i 0.196055 + 0.285825i
\(722\) 6.36790e6i 0.0169194i
\(723\) 1.90323e8 + 4.89900e8i 0.503589 + 1.29626i
\(724\) −1.76857e8 3.06326e8i −0.466023 0.807176i
\(725\) 4.81463e7 2.77973e7i 0.126342 0.0729438i
\(726\) −9.44138e7 + 3.66792e7i −0.246732 + 0.0958539i
\(727\) 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
\(732\) −2.11433e7 3.26150e6i −0.0539062 0.00831542i
\(733\) 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
\(735\) −752784. 3.43858e8i −0.00189587 0.865998i
\(736\) 1.89958e7 0.0476457
\(737\) −7.14273e8 4.12386e8i −1.78427 1.03015i
\(738\) 6.59271e7 6.03300e7i 0.164019 0.150094i
\(739\) −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 \(-0.722215\pi\)
0.642771 0.766059i \(-0.277785\pi\)
\(744\) 6.42846e7 2.49742e7i 0.156095 0.0606418i
\(745\) 3.48535e8 + 6.03680e8i 0.842903 + 1.45995i
\(746\) −1.97411e7 + 1.13976e7i −0.0475506 + 0.0274533i
\(747\) −7.38386e7 + 2.33641e8i −0.177142 + 0.560515i
\(748\) 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
\(753\) −4.25007e7 + 2.75519e8i −0.0995432 + 0.645307i
\(754\) −1.00590e7 + 1.74228e7i −0.0234662 + 0.0406446i
\(755\) 2.63296e8i 0.611791i
\(756\) −3.91343e8 1.57003e8i −0.905716 0.363365i
\(757\) −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
\(759\) 7.50846e7 + 1.15823e7i 0.171722 + 0.0264893i
\(760\) −5.50513e7 9.53517e7i −0.125409 0.217214i
\(761\) 5.67287e7 + 3.27523e7i 0.128721 + 0.0743170i 0.562978 0.826472i \(-0.309656\pi\)
−0.434257 + 0.900789i \(0.642989\pi\)
\(762\) 2.37372e7 + 1.90642e7i 0.0536494 + 0.0430877i
\(763\) −6.45400e8 + 5.01968e7i −1.45297 + 0.113006i
\(764\) 6.63121e8i 1.48701i
\(765\) −6.03799e8 1.90821e8i −1.34868 0.426228i