Properties

Label 43.7.h.a.3.17
Level 43
Weight 7
Character 43.3
Analytic conductor 9.892
Analytic rank 0
Dimension 252
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.17
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.17

$q$-expansion

\(f(q)\) \(=\) \(q+(4.47573 - 9.29395i) q^{2} +(30.6638 + 2.29794i) q^{3} +(-26.4420 - 33.1572i) q^{4} +(-67.0797 + 217.467i) q^{5} +(158.600 - 274.703i) q^{6} +(521.839 - 301.284i) q^{7} +(217.132 - 49.5589i) q^{8} +(214.131 + 32.2751i) q^{9} +O(q^{10})\) \(q+(4.47573 - 9.29395i) q^{2} +(30.6638 + 2.29794i) q^{3} +(-26.4420 - 33.1572i) q^{4} +(-67.0797 + 217.467i) q^{5} +(158.600 - 274.703i) q^{6} +(521.839 - 301.284i) q^{7} +(217.132 - 49.5589i) q^{8} +(214.131 + 32.2751i) q^{9} +(1720.90 + 1596.76i) q^{10} +(1090.36 - 1367.27i) q^{11} +(-734.619 - 1077.49i) q^{12} +(-2017.10 + 1871.60i) q^{13} +(-464.506 - 6198.41i) q^{14} +(-2556.64 + 6514.23i) q^{15} +(1115.19 - 4885.99i) q^{16} +(-1266.53 + 390.672i) q^{17} +(1258.36 - 1845.67i) q^{18} +(897.955 + 5957.54i) q^{19} +(8984.32 - 3526.08i) q^{20} +(16693.9 - 8039.36i) q^{21} +(-7827.16 - 16253.3i) q^{22} +(-478.704 - 1219.72i) q^{23} +(6771.96 - 1020.71i) q^{24} +(-29882.3 - 20373.4i) q^{25} +(8366.53 + 27123.6i) q^{26} +(-15362.7 - 3506.43i) q^{27} +(-23788.2 - 9336.17i) q^{28} +(8931.60 - 669.331i) q^{29} +(49100.0 + 52917.2i) q^{30} +(-6189.16 + 4219.70i) q^{31} +(-29274.7 - 23345.8i) q^{32} +(36576.5 - 39420.0i) q^{33} +(-2037.75 + 13519.6i) q^{34} +(30514.5 + 133693. i) q^{35} +(-4591.90 - 7953.41i) q^{36} +(-7270.58 - 4197.67i) q^{37} +(59388.1 + 18318.8i) q^{38} +(-66152.9 + 52755.2i) q^{39} +(-3787.70 + 50543.4i) q^{40} +(-33757.3 - 16256.7i) q^{41} -191134. i q^{42} +(-42463.6 + 67217.6i) q^{43} -74166.0 q^{44} +(-21382.6 + 44401.5i) q^{45} +(-13478.5 - 1010.08i) q^{46} +(-74746.9 - 93729.6i) q^{47} +(45423.8 - 147260. i) q^{48} +(122719. - 212556. i) q^{49} +(-323094. + 186538. i) q^{50} +(-39734.3 + 9069.10i) q^{51} +(115393. + 17392.7i) q^{52} +(14520.8 + 13473.4i) q^{53} +(-101348. + 127086. i) q^{54} +(224195. + 328833. i) q^{55} +(98376.4 - 91279.9i) q^{56} +(13844.7 + 184744. i) q^{57} +(33754.7 - 86005.5i) q^{58} +(44337.5 - 194255. i) q^{59} +(283596. - 87477.8i) q^{60} +(-144301. + 211650. i) q^{61} +(11516.6 + 76408.0i) q^{62} +(121466. - 47671.9i) q^{63} +(-59019.6 + 28422.3i) q^{64} +(-271704. - 564200. i) q^{65} +(-202662. - 516373. i) q^{66} +(-309393. + 46633.5i) q^{67} +(46443.1 + 31664.4i) q^{68} +(-11876.1 - 38501.2i) q^{69} +(1.37911e6 + 314772. i) q^{70} +(387116. + 151932. i) q^{71} +(48094.2 - 3604.16i) q^{72} +(255790. + 275676. i) q^{73} +(-71554.1 + 48784.7i) q^{74} +(-869487. - 693393. i) q^{75} +(173792. - 187303. i) q^{76} +(157056. - 1.04200e6i) q^{77} +(194221. + 850939. i) q^{78} +(-113798. - 197103. i) q^{79} +(987734. + 570269. i) q^{80} +(-613871. - 189354. i) q^{81} +(-302177. + 240978. i) q^{82} +(-26640.0 + 355486. i) q^{83} +(-707982. - 340946. i) q^{84} -301634. i q^{85} +(434661. + 695502. i) q^{86} +275415. q^{87} +(168991. - 350914. i) q^{88} +(-1.30720e6 - 97961.3i) q^{89} +(316962. + 397458. i) q^{90} +(-488720. + 1.58439e6i) q^{91} +(-27784.5 + 48124.2i) q^{92} +(-199480. + 115170. i) q^{93} +(-1.20567e6 + 275185. i) q^{94} +(-1.35580e6 - 204355. i) q^{95} +(-844028. - 783144. i) q^{96} +(156144. - 195799. i) q^{97} +(-1.42623e6 - 2.09189e6i) q^{98} +(277609. - 257583. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.47573 9.29395i 0.559466 1.16174i −0.408985 0.912541i \(-0.634117\pi\)
0.968451 0.249203i \(-0.0801685\pi\)
\(3\) 30.6638 + 2.29794i 1.13570 + 0.0851087i 0.629279 0.777180i \(-0.283350\pi\)
0.506418 + 0.862288i \(0.330969\pi\)
\(4\) −26.4420 33.1572i −0.413156 0.518081i
\(5\) −67.0797 + 217.467i −0.536638 + 1.73974i 0.127217 + 0.991875i \(0.459396\pi\)
−0.663855 + 0.747862i \(0.731081\pi\)
\(6\) 158.600 274.703i 0.734258 1.27177i
\(7\) 521.839 301.284i 1.52140 0.878378i 0.521715 0.853120i \(-0.325293\pi\)
0.999681 0.0252582i \(-0.00804078\pi\)
\(8\) 217.132 49.5589i 0.424085 0.0967946i
\(9\) 214.131 + 32.2751i 0.293733 + 0.0442731i
\(10\) 1720.90 + 1596.76i 1.72090 + 1.59676i
\(11\) 1090.36 1367.27i 0.819203 1.02725i −0.179848 0.983694i \(-0.557561\pi\)
0.999051 0.0435536i \(-0.0138679\pi\)
\(12\) −734.619 1077.49i −0.425127 0.623546i
\(13\) −2017.10 + 1871.60i −0.918117 + 0.851888i −0.989348 0.145572i \(-0.953498\pi\)
0.0712307 + 0.997460i \(0.477307\pi\)
\(14\) −464.506 6198.41i −0.169281 2.25889i
\(15\) −2556.64 + 6514.23i −0.757524 + 1.93014i
\(16\) 1115.19 4885.99i 0.272264 1.19287i
\(17\) −1266.53 + 390.672i −0.257791 + 0.0795181i −0.420957 0.907081i \(-0.638306\pi\)
0.163166 + 0.986599i \(0.447829\pi\)
\(18\) 1258.36 1845.67i 0.215768 0.316473i
\(19\) 897.955 + 5957.54i 0.130916 + 0.868573i 0.953817 + 0.300388i \(0.0971162\pi\)
−0.822901 + 0.568185i \(0.807646\pi\)
\(20\) 8984.32 3526.08i 1.12304 0.440761i
\(21\) 16693.9 8039.36i 1.80260 0.868087i
\(22\) −7827.16 16253.3i −0.735082 1.52641i
\(23\) −478.704 1219.72i −0.0393445 0.100248i 0.909851 0.414935i \(-0.136196\pi\)
−0.949196 + 0.314687i \(0.898100\pi\)
\(24\) 6771.96 1020.71i 0.489870 0.0738360i
\(25\) −29882.3 20373.4i −1.91246 1.30390i
\(26\) 8366.53 + 27123.6i 0.476020 + 1.54322i
\(27\) −15362.7 3506.43i −0.780504 0.178145i
\(28\) −23788.2 9336.17i −1.08364 0.425299i
\(29\) 8931.60 669.331i 0.366214 0.0274440i 0.109648 0.993971i \(-0.465028\pi\)
0.256567 + 0.966527i \(0.417409\pi\)
\(30\) 49100.0 + 52917.2i 1.81852 + 1.95990i
\(31\) −6189.16 + 4219.70i −0.207753 + 0.141643i −0.662727 0.748861i \(-0.730601\pi\)
0.454974 + 0.890505i \(0.349649\pi\)
\(32\) −29274.7 23345.8i −0.893394 0.712458i
\(33\) 36576.5 39420.0i 1.01779 1.09692i
\(34\) −2037.75 + 13519.6i −0.0518459 + 0.343975i
\(35\) 30514.5 + 133693.i 0.711708 + 3.11820i
\(36\) −4591.90 7953.41i −0.0984204 0.170469i
\(37\) −7270.58 4197.67i −0.143537 0.0828711i 0.426512 0.904482i \(-0.359742\pi\)
−0.570049 + 0.821611i \(0.693076\pi\)
\(38\) 59388.1 + 18318.8i 1.08230 + 0.333846i
\(39\) −66152.9 + 52755.2i −1.11521 + 0.889347i
\(40\) −3787.70 + 50543.4i −0.0591828 + 0.789740i
\(41\) −33757.3 16256.7i −0.489798 0.235874i 0.172649 0.984983i \(-0.444767\pi\)
−0.662446 + 0.749109i \(0.730482\pi\)
\(42\) 191134.i 2.57983i
\(43\) −42463.6 + 67217.6i −0.534087 + 0.845430i
\(44\) −74166.0 −0.870656
\(45\) −21382.6 + 44401.5i −0.234652 + 0.487259i
\(46\) −13478.5 1010.08i −0.138474 0.0103772i
\(47\) −74746.9 93729.6i −0.719945 0.902783i 0.278389 0.960468i \(-0.410199\pi\)
−0.998335 + 0.0576852i \(0.981628\pi\)
\(48\) 45423.8 147260.i 0.410733 1.33156i
\(49\) 122719. 212556.i 1.04310 1.80670i
\(50\) −323094. + 186538.i −2.58475 + 1.49231i
\(51\) −39734.3 + 9069.10i −0.299540 + 0.0683681i
\(52\) 115393. + 17392.7i 0.820673 + 0.123696i
\(53\) 14520.8 + 13473.4i 0.0975357 + 0.0904999i 0.727434 0.686178i \(-0.240713\pi\)
−0.629898 + 0.776678i \(0.716903\pi\)
\(54\) −101348. + 127086.i −0.643624 + 0.807079i
\(55\) 224195. + 328833.i 1.34753 + 1.97646i
\(56\) 98376.4 91279.9i 0.560179 0.519770i
\(57\) 13844.7 + 184744.i 0.0747581 + 0.997578i
\(58\) 33754.7 86005.5i 0.173002 0.440801i
\(59\) 44337.5 194255.i 0.215882 0.945839i −0.744603 0.667507i \(-0.767361\pi\)
0.960485 0.278332i \(-0.0897815\pi\)
\(60\) 283596. 87477.8i 1.31295 0.404990i
\(61\) −144301. + 211650.i −0.635738 + 0.932457i 0.364261 + 0.931297i \(0.381322\pi\)
−0.999999 + 0.00115996i \(0.999631\pi\)
\(62\) 11516.6 + 76408.0i 0.0483227 + 0.320600i
\(63\) 121466. 47671.9i 0.485772 0.190652i
\(64\) −59019.6 + 28422.3i −0.225142 + 0.108423i
\(65\) −271704. 564200.i −0.989365 2.05444i
\(66\) −202662. 516373.i −0.704920 1.79611i
\(67\) −309393. + 46633.5i −1.02869 + 0.155051i −0.641639 0.767007i \(-0.721745\pi\)
−0.387054 + 0.922057i \(0.626507\pi\)
\(68\) 46443.1 + 31664.4i 0.147705 + 0.100703i
\(69\) −11876.1 38501.2i −0.0361514 0.117200i
\(70\) 1.37911e6 + 314772.i 4.02072 + 0.917704i
\(71\) 387116. + 151932.i 1.08160 + 0.424496i 0.838163 0.545421i \(-0.183630\pi\)
0.243436 + 0.969917i \(0.421725\pi\)
\(72\) 48094.2 3604.16i 0.128853 0.00965621i
\(73\) 255790. + 275676.i 0.657529 + 0.708648i 0.970496 0.241116i \(-0.0775135\pi\)
−0.312967 + 0.949764i \(0.601323\pi\)
\(74\) −71554.1 + 48784.7i −0.176579 + 0.120390i
\(75\) −869487. 693393.i −2.06101 1.64360i
\(76\) 173792. 187303.i 0.395902 0.426681i
\(77\) 157056. 1.04200e6i 0.344020 2.28242i
\(78\) 194221. + 850939.i 0.409273 + 1.79314i
\(79\) −113798. 197103.i −0.230809 0.399773i 0.727238 0.686386i \(-0.240804\pi\)
−0.958046 + 0.286613i \(0.907471\pi\)
\(80\) 987734. + 570269.i 1.92917 + 1.11381i
\(81\) −613871. 189354.i −1.15511 0.356303i
\(82\) −302177. + 240978.i −0.548050 + 0.437056i
\(83\) −26640.0 + 355486.i −0.0465907 + 0.621710i 0.924220 + 0.381861i \(0.124717\pi\)
−0.970810 + 0.239849i \(0.922902\pi\)
\(84\) −707982. 340946.i −1.19450 0.575239i
\(85\) 301634.i 0.491161i
\(86\) 434661. + 695502.i 0.683369 + 1.09346i
\(87\) 275415. 0.418244
\(88\) 168991. 350914.i 0.247980 0.514935i
\(89\) −1.30720e6 97961.3i −1.85427 0.138958i −0.899617 0.436679i \(-0.856155\pi\)
−0.954653 + 0.297721i \(0.903774\pi\)
\(90\) 316962. + 397458.i 0.434791 + 0.545210i
\(91\) −488720. + 1.58439e6i −0.648539 + 2.10251i
\(92\) −27784.5 + 48124.2i −0.0356812 + 0.0618017i
\(93\) −199480. + 115170.i −0.247999 + 0.143182i
\(94\) −1.20567e6 + 275185.i −1.45159 + 0.331315i
\(95\) −1.35580e6 204355.i −1.58134 0.238349i
\(96\) −844028. 783144.i −0.953989 0.885172i
\(97\) 156144. 195799.i 0.171084 0.214533i −0.688896 0.724860i \(-0.741904\pi\)
0.859980 + 0.510327i \(0.170476\pi\)
\(98\) −1.42623e6 2.09189e6i −1.51534 2.22260i
\(99\) 277609. 257583.i 0.286106 0.265468i
\(100\) 114622. + 1.52952e6i 0.114622 + 1.52952i
\(101\) 238399. 607431.i 0.231388 0.589567i −0.767272 0.641322i \(-0.778386\pi\)
0.998660 + 0.0517551i \(0.0164815\pi\)
\(102\) −93552.4 + 409880.i −0.0881565 + 0.386239i
\(103\) 1.70415e6 525661.i 1.55954 0.481054i 0.609395 0.792867i \(-0.291412\pi\)
0.950144 + 0.311813i \(0.100936\pi\)
\(104\) −345222. + 506348.i −0.306901 + 0.450142i
\(105\) 628474. + 4.16965e6i 0.542899 + 3.60190i
\(106\) 190212. 74652.7i 0.159706 0.0626799i
\(107\) 1.23933e6 596830.i 1.01166 0.487191i 0.146782 0.989169i \(-0.453108\pi\)
0.864881 + 0.501978i \(0.167394\pi\)
\(108\) 289956. + 602099.i 0.230176 + 0.477966i
\(109\) 310048. + 789988.i 0.239414 + 0.610016i 0.999193 0.0401649i \(-0.0127883\pi\)
−0.759779 + 0.650181i \(0.774693\pi\)
\(110\) 4.05959e6 611885.i 3.05003 0.459718i
\(111\) −213298. 145424.i −0.155961 0.106333i
\(112\) −890117. 2.88569e6i −0.633567 2.05398i
\(113\) −1.06344e6 242722.i −0.737015 0.168219i −0.162495 0.986709i \(-0.551954\pi\)
−0.574520 + 0.818491i \(0.694811\pi\)
\(114\) 1.77897e6 + 698194.i 1.20075 + 0.471261i
\(115\) 297360. 22284.0i 0.195519 0.0146521i
\(116\) −258362. 278448.i −0.165522 0.178390i
\(117\) −492331. + 335666.i −0.307397 + 0.209580i
\(118\) −1.60696e6 1.28151e6i −0.978044 0.779964i
\(119\) −543220. + 585452.i −0.322356 + 0.347417i
\(120\) −232291. + 1.54115e6i −0.134427 + 0.891868i
\(121\) −286327. 1.25448e6i −0.161624 0.708121i
\(122\) 1.32121e6 + 2.28841e6i 0.727602 + 1.26024i
\(123\) −997772. 576064.i −0.536187 0.309567i
\(124\) 303567. + 93638.0i 0.159217 + 0.0491119i
\(125\) 3.65492e6 2.91470e6i 1.87132 1.49233i
\(126\) 100589. 1.34226e6i 0.0502850 0.671006i
\(127\) 113755. + 54781.8i 0.0555343 + 0.0267439i 0.461445 0.887169i \(-0.347331\pi\)
−0.405910 + 0.913913i \(0.633046\pi\)
\(128\) 1.72067e6i 0.820478i
\(129\) −1.45656e6 + 1.96357e6i −0.678514 + 0.914697i
\(130\) −6.45972e6 −2.94025
\(131\) 940408. 1.95278e6i 0.418314 0.868638i −0.580217 0.814462i \(-0.697032\pi\)
0.998531 0.0541764i \(-0.0172533\pi\)
\(132\) −2.27421e6 170429.i −0.988802 0.0741004i
\(133\) 2.26350e6 + 2.83834e6i 0.962111 + 1.20645i
\(134\) −951350. + 3.08420e6i −0.395390 + 1.28182i
\(135\) 1.79305e6 3.10566e6i 0.728773 1.26227i
\(136\) −255642. + 147595.i −0.101628 + 0.0586752i
\(137\) −2.25444e6 + 514561.i −0.876752 + 0.200113i −0.637133 0.770754i \(-0.719880\pi\)
−0.239619 + 0.970867i \(0.577023\pi\)
\(138\) −410982. 61945.6i −0.156382 0.0235708i
\(139\) 2.99621e6 + 2.78008e6i 1.11565 + 1.03517i 0.999118 + 0.0419864i \(0.0133686\pi\)
0.116533 + 0.993187i \(0.462822\pi\)
\(140\) 3.62601e6 4.54688e6i 1.32143 1.65702i
\(141\) −2.07664e6 3.04587e6i −0.740805 1.08656i
\(142\) 3.14467e6 2.91783e6i 1.09827 1.01905i
\(143\) 359608. + 4.79863e6i 0.122976 + 1.64100i
\(144\) 396494. 1.01025e6i 0.132785 0.338331i
\(145\) −453572. + 1.98723e6i −0.148779 + 0.651844i
\(146\) 3.70697e6 1.14345e6i 1.19113 0.367416i
\(147\) 4.25148e6 6.23578e6i 1.33841 1.96308i
\(148\) 53065.5 + 352067.i 0.0163692 + 0.108602i
\(149\) −444919. + 174618.i −0.134500 + 0.0527874i −0.431636 0.902048i \(-0.642064\pi\)
0.297136 + 0.954835i \(0.403968\pi\)
\(150\) −1.03360e7 + 4.97753e6i −3.06250 + 1.47482i
\(151\) 27523.8 + 57153.7i 0.00799424 + 0.0166002i 0.904928 0.425565i \(-0.139925\pi\)
−0.896934 + 0.442165i \(0.854210\pi\)
\(152\) 490223. + 1.24907e6i 0.139593 + 0.355677i
\(153\) −283812. + 42777.8i −0.0792423 + 0.0119439i
\(154\) −8.98136e6 6.12338e6i −2.45912 1.67660i
\(155\) −502478. 1.62899e6i −0.134934 0.437446i
\(156\) 3.49843e6 + 798493.i 0.921508 + 0.210328i
\(157\) 928059. + 364236.i 0.239815 + 0.0941205i 0.482205 0.876058i \(-0.339836\pi\)
−0.242390 + 0.970179i \(0.577931\pi\)
\(158\) −2.34120e6 + 175448.i −0.593563 + 0.0444814i
\(159\) 414303. + 446513.i 0.103069 + 0.111082i
\(160\) 7.04069e6 4.80026e6i 1.71892 1.17194i
\(161\) −617287. 492270.i −0.147914 0.117958i
\(162\) −4.50737e6 + 4.85779e6i −1.06018 + 1.14260i
\(163\) −480840. + 3.19017e6i −0.111029 + 0.736632i 0.862162 + 0.506633i \(0.169110\pi\)
−0.973191 + 0.229998i \(0.926128\pi\)
\(164\) 353585. + 1.54916e6i 0.0801608 + 0.351208i
\(165\) 6.11902e6 + 1.05985e7i 1.36217 + 2.35934i
\(166\) 3.18463e6 + 1.83865e6i 0.696202 + 0.401952i
\(167\) 5.57731e6 + 1.72037e6i 1.19750 + 0.369380i 0.828468 0.560037i \(-0.189213\pi\)
0.369032 + 0.929417i \(0.379689\pi\)
\(168\) 3.22635e6 2.57293e6i 0.680430 0.542625i
\(169\) 205117. 2.73710e6i 0.0424954 0.567062i
\(170\) −2.80337e6 1.35003e6i −0.570603 0.274788i
\(171\) 1.30468e6i 0.260925i
\(172\) 3.35157e6 369392.i 0.658662 0.0725942i
\(173\) 6.26902e6 1.21077 0.605385 0.795933i \(-0.293019\pi\)
0.605385 + 0.795933i \(0.293019\pi\)
\(174\) 1.23268e6 2.55969e6i 0.233993 0.485892i
\(175\) −2.17319e7 1.62858e6i −4.05493 0.303875i
\(176\) −5.46449e6 6.85225e6i −1.00233 1.25688i
\(177\) 1.80594e6 5.85473e6i 0.325675 1.05581i
\(178\) −6.76114e6 + 1.17106e7i −1.19884 + 2.07644i
\(179\) 3.89740e6 2.25016e6i 0.679541 0.392333i −0.120141 0.992757i \(-0.538335\pi\)
0.799682 + 0.600424i \(0.205001\pi\)
\(180\) 2.03763e6 465075.i 0.349388 0.0797454i
\(181\) 3.33385e6 + 502496.i 0.562225 + 0.0847417i 0.424005 0.905660i \(-0.360624\pi\)
0.138220 + 0.990402i \(0.455862\pi\)
\(182\) 1.25379e7 + 1.16335e7i 2.07974 + 1.92972i
\(183\) −4.91116e6 + 6.15840e6i −0.801366 + 1.00488i
\(184\) −164390. 241115.i −0.0263889 0.0387054i
\(185\) 1.40056e6 1.29953e6i 0.221201 0.205245i
\(186\) 177564. + 2.36942e6i 0.0275941 + 0.368217i
\(187\) −846817. + 2.15766e6i −0.129499 + 0.329957i
\(188\) −1.13136e6 + 4.95679e6i −0.170265 + 0.745980i
\(189\) −9.07326e6 + 2.79873e6i −1.34393 + 0.414549i
\(190\) −7.96747e6 + 1.16861e7i −1.16161 + 1.70377i
\(191\) 144464. + 958458.i 0.0207329 + 0.137554i 0.996803 0.0799043i \(-0.0254615\pi\)
−0.976070 + 0.217458i \(0.930223\pi\)
\(192\) −1.87508e6 + 735914.i −0.264921 + 0.103974i
\(193\) 9.32325e6 4.48984e6i 1.29687 0.624538i 0.347198 0.937792i \(-0.387133\pi\)
0.949670 + 0.313253i \(0.101419\pi\)
\(194\) −1.12088e6 2.32754e6i −0.153516 0.318780i
\(195\) −7.03500e6 1.79249e7i −0.948768 2.41742i
\(196\) −1.02927e7 + 1.55137e6i −1.36698 + 0.206039i
\(197\) −3.60865e6 2.46034e6i −0.472005 0.321807i 0.303849 0.952720i \(-0.401728\pi\)
−0.775854 + 0.630913i \(0.782681\pi\)
\(198\) −1.15146e6 3.73295e6i −0.148339 0.480902i
\(199\) −4.27001e6 974603.i −0.541839 0.123671i −0.0571626 0.998365i \(-0.518205\pi\)
−0.484676 + 0.874694i \(0.661062\pi\)
\(200\) −7.49806e6 2.94277e6i −0.937258 0.367847i
\(201\) −9.59433e6 + 718995.i −1.18148 + 0.0885397i
\(202\) −4.57842e6 4.93437e6i −0.555472 0.598656i
\(203\) 4.45919e6 3.04023e6i 0.533050 0.363428i
\(204\) 1.35136e6 + 1.07767e6i 0.159177 + 0.126940i
\(205\) 5.79972e6 6.25062e6i 0.673203 0.725540i
\(206\) 2.74185e6 1.81910e7i 0.313648 2.08092i
\(207\) −63139.0 276630.i −0.00711847 0.0311880i
\(208\) 6.89514e6 + 1.19427e7i 0.766220 + 1.32713i
\(209\) 9.12465e6 + 5.26812e6i 0.999487 + 0.577054i
\(210\) 4.15654e7 + 1.28212e7i 4.48822 + 1.38443i
\(211\) −7.64673e6 + 6.09806e6i −0.814007 + 0.649149i −0.939348 0.342965i \(-0.888569\pi\)
0.125341 + 0.992114i \(0.459997\pi\)
\(212\) 62779.3 837732.i 0.00658884 0.0879220i
\(213\) 1.15213e7 + 5.54838e6i 1.19224 + 0.574153i
\(214\) 1.41895e7i 1.44786i
\(215\) −1.17692e7 1.37434e7i −1.18421 1.38286i
\(216\) −3.50949e6 −0.348243
\(217\) −1.95842e6 + 4.06669e6i −0.191658 + 0.397981i
\(218\) 8.72980e6 + 654208.i 0.842626 + 0.0631461i
\(219\) 7.21001e6 + 9.04107e6i 0.686442 + 0.860771i
\(220\) 4.97503e6 1.61287e7i 0.467227 1.51471i
\(221\) 1.82354e6 3.15846e6i 0.168942 0.292616i
\(222\) −2.30622e6 + 1.33150e6i −0.210786 + 0.121698i
\(223\) −1.16601e7 + 2.66135e6i −1.05145 + 0.239987i −0.713121 0.701041i \(-0.752719\pi\)
−0.338330 + 0.941027i \(0.609862\pi\)
\(224\) −2.23104e7 3.36275e6i −1.98501 0.299193i
\(225\) −5.74117e6 5.32703e6i −0.504026 0.467668i
\(226\) −7.01550e6 + 8.79716e6i −0.607762 + 0.762109i
\(227\) 3.77797e6 + 5.54126e6i 0.322984 + 0.473730i 0.953051 0.302811i \(-0.0979250\pi\)
−0.630067 + 0.776541i \(0.716973\pi\)
\(228\) 5.75953e6 5.34406e6i 0.485939 0.450886i
\(229\) 1.26261e6 + 1.68484e7i 0.105139 + 1.40298i 0.761319 + 0.648378i \(0.224552\pi\)
−0.656180 + 0.754604i \(0.727829\pi\)
\(230\) 1.12380e6 2.86338e6i 0.0923642 0.235340i
\(231\) 7.21039e6 3.15908e7i 0.584956 2.56286i
\(232\) 1.90616e6 587972.i 0.152650 0.0470861i
\(233\) 3.84438e6 5.63868e6i 0.303920 0.445768i −0.643649 0.765321i \(-0.722580\pi\)
0.947569 + 0.319553i \(0.103533\pi\)
\(234\) 916118. + 6.07805e6i 0.0714996 + 0.474369i
\(235\) 2.53971e7 9.96763e6i 1.95695 0.768048i
\(236\) −7.61334e6 + 3.66639e6i −0.579214 + 0.278935i
\(237\) −3.03654e6 6.30544e6i −0.228105 0.473664i
\(238\) 3.00986e6 + 7.66899e6i 0.223262 + 0.568862i
\(239\) −3.66802e6 + 552866.i −0.268682 + 0.0404973i −0.282001 0.959414i \(-0.590998\pi\)
0.0133194 + 0.999911i \(0.495760\pi\)
\(240\) 2.89773e7 + 1.97564e7i 2.09616 + 1.42914i
\(241\) 4.80813e6 + 1.55876e7i 0.343498 + 1.11359i 0.948342 + 0.317250i \(0.102759\pi\)
−0.604843 + 0.796344i \(0.706764\pi\)
\(242\) −1.29406e7 2.95361e6i −0.913078 0.208404i
\(243\) −7.69521e6 3.02015e6i −0.536292 0.210479i
\(244\) 1.08333e7 811844.i 0.745747 0.0558860i
\(245\) 3.79920e7 + 4.09456e7i 2.58341 + 2.78425i
\(246\) −9.81966e6 + 6.69493e6i −0.659616 + 0.449719i
\(247\) −1.29614e7 1.03364e7i −0.860124 0.685926i
\(248\) −1.13474e6 + 1.22296e6i −0.0743945 + 0.0801782i
\(249\) −1.63377e6 + 1.08393e7i −0.105826 + 0.702109i
\(250\) −1.07306e7 4.70140e7i −0.686761 3.00890i
\(251\) −7.24158e6 1.25428e7i −0.457944 0.793182i 0.540908 0.841082i \(-0.318081\pi\)
−0.998852 + 0.0478994i \(0.984747\pi\)
\(252\) −4.79247e6 2.76693e6i −0.299473 0.172901i
\(253\) −2.18964e6 675414.i −0.135211 0.0417070i
\(254\) 1.01828e6 812049.i 0.0621391 0.0495543i
\(255\) 693136. 9.24926e6i 0.0418021 0.557810i
\(256\) −1.97690e7 9.52027e6i −1.17833 0.567452i
\(257\) 1.57904e7i 0.930237i 0.885248 + 0.465119i \(0.153988\pi\)
−0.885248 + 0.465119i \(0.846012\pi\)
\(258\) 1.17301e7 + 2.23256e7i 0.683037 + 1.30000i
\(259\) −5.05876e6 −0.291169
\(260\) −1.15229e7 + 2.39275e7i −0.655603 + 1.36137i
\(261\) 1.93414e6 + 144944.i 0.108784 + 0.00815225i
\(262\) −1.39400e7 1.74802e7i −0.775102 0.971947i
\(263\) −2.29568e6 + 7.44242e6i −0.126196 + 0.409116i −0.996519 0.0833642i \(-0.973434\pi\)
0.870323 + 0.492480i \(0.163910\pi\)
\(264\) 5.98829e6 1.03720e7i 0.325455 0.563705i
\(265\) −3.90407e6 + 2.25401e6i −0.209787 + 0.121121i
\(266\) 3.65102e7 8.33321e6i 1.93985 0.442759i
\(267\) −3.98587e7 6.00774e6i −2.09406 0.315629i
\(268\) 9.72719e6 + 9.02552e6i 0.505339 + 0.468886i
\(269\) 1.44847e7 1.81632e7i 0.744136 0.933117i −0.255294 0.966863i \(-0.582172\pi\)
0.999430 + 0.0337460i \(0.0107437\pi\)
\(270\) −2.08386e7 3.05647e7i −1.05871 1.55285i
\(271\) 1.98752e7 1.84415e7i 0.998626 0.926590i 0.00132418 0.999999i \(-0.499579\pi\)
0.997302 + 0.0734096i \(0.0233880\pi\)
\(272\) 496394. + 6.62392e6i 0.0246672 + 0.329161i
\(273\) −1.86269e7 + 4.74605e7i −0.915486 + 2.33262i
\(274\) −5.30796e6 + 2.32557e7i −0.258033 + 1.13052i
\(275\) −6.04382e7 + 1.86427e7i −2.90612 + 0.896420i
\(276\) −962566. + 1.41183e6i −0.0457829 + 0.0671512i
\(277\) −4.84554e6 3.21480e7i −0.227983 1.51257i −0.751032 0.660266i \(-0.770443\pi\)
0.523049 0.852303i \(-0.324795\pi\)
\(278\) 3.92482e7 1.54038e7i 1.82678 0.716956i
\(279\) −1.46148e6 + 703814.i −0.0672948 + 0.0324075i
\(280\) 1.32513e7 + 2.75167e7i 0.603650 + 1.25349i
\(281\) −2.29574e6 5.84945e6i −0.103467 0.263631i 0.869760 0.493475i \(-0.164274\pi\)
−0.973227 + 0.229844i \(0.926178\pi\)
\(282\) −3.76027e7 + 5.66769e6i −1.67676 + 0.252731i
\(283\) 3.69089e7 + 2.51641e7i 1.62844 + 1.11025i 0.909954 + 0.414710i \(0.136117\pi\)
0.718486 + 0.695541i \(0.244835\pi\)
\(284\) −5.19848e6 1.68531e7i −0.226945 0.735739i
\(285\) −4.11045e7 9.38184e6i −1.77564 0.405278i
\(286\) 4.62078e7 + 1.81352e7i 1.97523 + 0.775219i
\(287\) −2.25138e7 + 1.68717e6i −0.952362 + 0.0713697i
\(288\) −5.51515e6 5.94392e6i −0.230877 0.248826i
\(289\) −1.84919e7 + 1.26076e7i −0.766106 + 0.522322i
\(290\) 1.64391e7 + 1.31098e7i 0.674038 + 0.537528i
\(291\) 5.23791e6 5.64512e6i 0.212559 0.229084i
\(292\) 2.37705e6 1.57707e7i 0.0954750 0.633435i
\(293\) −2.43363e6 1.06624e7i −0.0967500 0.423890i 0.903236 0.429144i \(-0.141185\pi\)
−0.999986 + 0.00525422i \(0.998328\pi\)
\(294\) −3.89265e7 6.74227e7i −1.53180 2.65316i
\(295\) 3.92700e7 + 2.26726e7i 1.52966 + 0.883150i
\(296\) −1.78670e6 551125.i −0.0688933 0.0212508i
\(297\) −2.15450e7 + 1.71816e7i −0.822390 + 0.655834i
\(298\) −368448. + 4.91660e6i −0.0139228 + 0.185787i
\(299\) 3.24842e6 + 1.56435e6i 0.121523 + 0.0585223i
\(300\) 4.71644e7i 1.74683i
\(301\) −1.90759e6 + 4.78703e7i −0.0699498 + 1.75536i
\(302\) 654373. 0.0237577
\(303\) 8.70607e6 1.80783e7i 0.312964 0.649876i
\(304\) 3.01099e7 + 2.25642e6i 1.07174 + 0.0803156i
\(305\) −3.63473e7 4.55780e7i −1.28107 1.60641i
\(306\) −872692. + 2.82920e6i −0.0304577 + 0.0987414i
\(307\) −8.82738e6 + 1.52895e7i −0.305082 + 0.528418i −0.977280 0.211954i \(-0.932017\pi\)
0.672198 + 0.740372i \(0.265351\pi\)
\(308\) −3.87027e7 + 2.23450e7i −1.32461 + 0.764765i
\(309\) 5.34637e7 1.22027e7i 1.81210 0.413601i
\(310\) −1.73887e7 2.62093e6i −0.583691 0.0879773i
\(311\) 2.95292e7 + 2.73991e7i 0.981680 + 0.910866i 0.996029 0.0890313i \(-0.0283771\pi\)
−0.0143490 + 0.999897i \(0.504568\pi\)
\(312\) −1.17494e7 + 1.47333e7i −0.386858 + 0.485105i
\(313\) −942861. 1.38292e6i −0.0307478 0.0450988i 0.810557 0.585660i \(-0.199164\pi\)
−0.841305 + 0.540561i \(0.818212\pi\)
\(314\) 7.53893e6 6.99511e6i 0.243512 0.225946i
\(315\) 2.21916e6 + 2.96127e7i 0.0709998 + 0.947427i
\(316\) −3.52636e6 + 8.98502e6i −0.111755 + 0.284746i
\(317\) 3.43027e6 1.50290e7i 0.107684 0.471794i −0.892116 0.451806i \(-0.850780\pi\)
0.999800 0.0199881i \(-0.00636282\pi\)
\(318\) 6.00417e6 1.85204e6i 0.186712 0.0575930i
\(319\) 8.82349e6 1.29417e7i 0.271812 0.398675i
\(320\) −2.22190e6 1.47414e7i −0.0678072 0.449871i
\(321\) 3.93741e7 1.54532e7i 1.19041 0.467200i
\(322\) −7.33795e6 + 3.53377e6i −0.219789 + 0.105845i
\(323\) −3.46473e6 7.19459e6i −0.102816 0.213500i
\(324\) 9.95352e6 + 2.53612e7i 0.292645 + 0.745648i
\(325\) 9.84064e7 1.48324e7i 2.86664 0.432077i
\(326\) 2.74971e7 + 1.87472e7i 0.793660 + 0.541108i
\(327\) 7.69190e6 + 2.49365e7i 0.219984 + 0.713169i
\(328\) −8.13544e6 1.85686e6i −0.230547 0.0526209i
\(329\) −6.72450e7 2.63917e7i −1.88831 0.741106i
\(330\) 1.25889e8 9.43405e6i 3.50304 0.262516i
\(331\) −1.99578e7 2.15094e7i −0.550337 0.593123i 0.395217 0.918588i \(-0.370670\pi\)
−0.945554 + 0.325465i \(0.894479\pi\)
\(332\) 1.24913e7 8.51644e6i 0.341345 0.232725i
\(333\) −1.42138e6 1.13351e6i −0.0384926 0.0306968i
\(334\) 4.09516e7 4.41353e7i 1.09909 1.18453i
\(335\) 1.06127e7 7.04109e7i 0.282288 1.87286i
\(336\) −2.06632e7 9.05316e7i −0.544729 2.38662i
\(337\) 1.53290e6 + 2.65506e6i 0.0400519 + 0.0693720i 0.885356 0.464913i \(-0.153914\pi\)
−0.845305 + 0.534285i \(0.820581\pi\)
\(338\) −2.45204e7 1.41569e7i −0.635006 0.366621i
\(339\) −3.20513e7 9.88650e6i −0.822708 0.253772i
\(340\) −1.00013e7 + 7.97581e6i −0.254461 + 0.202926i
\(341\) −978953. + 1.30632e7i −0.0246887 + 0.329448i
\(342\) 1.21256e7 + 5.83939e6i 0.303127 + 0.145978i
\(343\) 7.70018e7i 1.90818i
\(344\) −5.88896e6 + 1.66995e7i −0.144665 + 0.410231i
\(345\) 9.16939e6 0.223297
\(346\) 2.80584e7 5.82639e7i 0.677384 1.40660i
\(347\) −9.83421e6 736972.i −0.235370 0.0176385i −0.0434771 0.999054i \(-0.513844\pi\)
−0.191893 + 0.981416i \(0.561463\pi\)
\(348\) −7.28251e6 9.13198e6i −0.172800 0.216684i
\(349\) −7.44554e6 + 2.41378e7i −0.175154 + 0.567835i 0.824843 + 0.565362i \(0.191263\pi\)
−0.999997 + 0.00247325i \(0.999213\pi\)
\(350\) −1.12402e8 + 1.94686e8i −2.62162 + 4.54078i
\(351\) 3.75507e7 2.16799e7i 0.868353 0.501344i
\(352\) −6.38400e7 + 1.45711e7i −1.46374 + 0.334090i
\(353\) −4.63816e7 6.99090e6i −1.05444 0.158931i −0.401129 0.916022i \(-0.631382\pi\)
−0.653310 + 0.757091i \(0.726620\pi\)
\(354\) −4.63306e7 4.29885e7i −1.04438 0.969043i
\(355\) −5.90078e7 + 7.39935e7i −1.31894 + 1.65390i
\(356\) 3.13169e7 + 4.59335e7i 0.694111 + 1.01807i
\(357\) −1.80025e7 + 1.67039e7i −0.395666 + 0.367125i
\(358\) −3.46920e6 4.62933e7i −0.0756103 1.00895i
\(359\) 892776. 2.27476e6i 0.0192956 0.0491645i −0.920901 0.389796i \(-0.872546\pi\)
0.940197 + 0.340631i \(0.110641\pi\)
\(360\) −2.44236e6 + 1.07007e7i −0.0523482 + 0.229352i
\(361\) 1.02698e7 3.16780e6i 0.218293 0.0673343i
\(362\) 1.95916e7 2.87356e7i 0.412994 0.605751i
\(363\) −5.89716e6 3.91251e7i −0.123289 0.817966i
\(364\) 6.54567e7 2.56899e7i 1.35722 0.532670i
\(365\) −7.71088e7 + 3.71336e7i −1.58572 + 0.763640i
\(366\) 3.52548e7 + 7.32074e7i 0.719077 + 1.49318i
\(367\) −2.20286e7 5.61280e7i −0.445645 1.13549i −0.960518 0.278219i \(-0.910256\pi\)
0.514872 0.857267i \(-0.327839\pi\)
\(368\) −6.49337e6 + 978719.i −0.130295 + 0.0196388i
\(369\) −6.70382e6 4.57058e6i −0.133427 0.0909688i
\(370\) −5.80925e6 1.88331e7i −0.114687 0.371807i
\(371\) 1.16368e7 + 2.65603e6i 0.227884 + 0.0520130i
\(372\) 9.09335e6 + 3.56888e6i 0.176642 + 0.0693270i
\(373\) 433697. 32501.1i 0.00835719 0.000626285i −0.0705508 0.997508i \(-0.522476\pi\)
0.0789080 + 0.996882i \(0.474857\pi\)
\(374\) 1.62630e7 + 1.75274e7i 0.310875 + 0.335044i
\(375\) 1.18771e8 8.09770e7i 2.25226 1.53556i
\(376\) −2.08750e7 1.66473e7i −0.392703 0.313170i
\(377\) −1.67632e7 + 1.80665e7i −0.312848 + 0.337170i
\(378\) −1.45982e7 + 9.68527e7i −0.270286 + 1.79323i
\(379\) 1.17935e7 + 5.16707e7i 0.216633 + 0.949132i 0.959945 + 0.280187i \(0.0903965\pi\)
−0.743312 + 0.668945i \(0.766746\pi\)
\(380\) 2.90743e7 + 5.03582e7i 0.529857 + 0.917739i
\(381\) 3.36229e6 + 1.94122e6i 0.0607940 + 0.0350994i
\(382\) 9.55444e6 + 2.94716e6i 0.171402 + 0.0528705i
\(383\) 9.95560e6 7.93932e6i 0.177203 0.141315i −0.530872 0.847452i \(-0.678135\pi\)
0.708075 + 0.706138i \(0.249564\pi\)
\(384\) 3.95398e6 5.27622e7i 0.0698298 0.931815i
\(385\) 2.16065e8 + 1.04052e8i 3.78620 + 1.82334i
\(386\) 1.06745e8i 1.85604i
\(387\) −1.12622e7 + 1.30229e7i −0.194309 + 0.224685i
\(388\) −1.06209e7 −0.181830
\(389\) −4.68968e7 + 9.73822e7i −0.796699 + 1.65436i −0.0412552 + 0.999149i \(0.513136\pi\)
−0.755444 + 0.655214i \(0.772579\pi\)
\(390\) −1.98080e8 1.48440e7i −3.33923 0.250240i
\(391\) 1.08280e6 + 1.35779e6i 0.0181142 + 0.0227145i
\(392\) 1.61122e7 5.22344e7i 0.267483 0.867159i
\(393\) 3.33239e7 5.77186e7i 0.549007 0.950907i
\(394\) −3.90176e7 + 2.25268e7i −0.637928 + 0.368308i
\(395\) 5.04970e7 1.15256e7i 0.819360 0.187013i
\(396\) −1.58813e7 2.39371e6i −0.255740 0.0385467i
\(397\) −3.55657e7 3.30002e7i −0.568408 0.527405i 0.342770 0.939420i \(-0.388635\pi\)
−0.911178 + 0.412014i \(0.864825\pi\)
\(398\) −2.81693e7 + 3.53232e7i −0.446815 + 0.560288i
\(399\) 6.28852e7 + 9.22356e7i 0.989987 + 1.45204i
\(400\) −1.32869e8 + 1.23284e8i −2.07607 + 1.92631i
\(401\) −2503.52 33407.1i −3.88256e−5 0.000518091i 0.997184 0.0749891i \(-0.0238922\pi\)
−0.997223 + 0.0744710i \(0.976273\pi\)
\(402\) −3.62593e7 + 9.23872e7i −0.558138 + 1.42211i
\(403\) 4.58659e6 2.00952e7i 0.0700770 0.307027i
\(404\) −2.64445e7 + 8.15704e6i −0.401043 + 0.123705i
\(405\) 8.23566e7 1.20795e8i 1.23975 1.81838i
\(406\) −8.29757e6 5.50508e7i −0.123986 0.822593i
\(407\) −1.36669e7 + 5.36385e6i −0.202715 + 0.0795598i
\(408\) −8.17812e6 + 3.93838e6i −0.120413 + 0.0579878i
\(409\) 2.19610e6 + 4.56025e6i 0.0320983 + 0.0666529i 0.916401 0.400260i \(-0.131080\pi\)
−0.884303 + 0.466913i \(0.845366\pi\)
\(410\) −3.21349e7 8.18784e7i −0.466257 1.18800i
\(411\) −7.03122e7 + 1.05979e7i −1.01276 + 0.152648i
\(412\) −6.24905e7 4.26053e7i −0.893558 0.609217i
\(413\) −3.53890e7 1.14728e8i −0.502363 1.62862i
\(414\) −2.85358e6 651310.i −0.0402151 0.00917882i
\(415\) −7.55194e7 2.96392e7i −1.05661 0.414689i
\(416\) 1.02744e8 7.69961e6i 1.42718 0.106952i
\(417\) 8.54869e7 + 9.21330e7i 1.17894 + 1.27059i
\(418\) 8.98011e7 6.12253e7i 1.22957 0.838305i
\(419\) 9.70867e7 + 7.74241e7i 1.31983 + 1.05253i 0.994258 + 0.107011i \(0.0341279\pi\)
0.325571 + 0.945518i \(0.394443\pi\)
\(420\) 1.21636e8 1.31092e8i 1.64177 1.76941i
\(421\) −6.17478e6 + 4.09670e7i −0.0827514 + 0.549019i 0.908588 + 0.417694i \(0.137161\pi\)
−0.991339 + 0.131326i \(0.958077\pi\)
\(422\) 2.24504e7 + 9.83615e7i 0.298735 + 1.30884i
\(423\) −1.29805e7 2.24829e7i −0.171503 0.297051i
\(424\) 3.82065e6 + 2.20586e6i 0.0501234 + 0.0289387i
\(425\) 4.58060e7 + 1.41293e7i 0.596700 + 0.184058i
\(426\) 1.03133e8 8.22456e7i 1.33404 1.06386i
\(427\) −1.15349e7 + 1.53923e8i −0.148160 + 1.97705i
\(428\) −5.25596e7 2.53114e7i −0.670379 0.322838i
\(429\) 1.47971e8i 1.87415i
\(430\) −1.80406e8 + 4.78704e7i −2.26906 + 0.602090i
\(431\) 7.64765e7 0.955204 0.477602 0.878576i \(-0.341506\pi\)
0.477602 + 0.878576i \(0.341506\pi\)
\(432\) −3.42647e7 + 7.11514e7i −0.425007 + 0.882535i
\(433\) −1.32467e8 9.92699e6i −1.63171 0.122280i −0.772883 0.634549i \(-0.781186\pi\)
−0.858825 + 0.512269i \(0.828805\pi\)
\(434\) 2.90303e7 + 3.64029e7i 0.355126 + 0.445314i
\(435\) −1.84748e7 + 5.98937e7i −0.224445 + 0.727634i
\(436\) 1.79955e7 3.11692e7i 0.217123 0.376067i
\(437\) 6.83667e6 3.94715e6i 0.0819219 0.0472976i
\(438\) 1.16297e8 2.65441e7i 1.38404 0.315897i
\(439\) −1.47159e8 2.21806e7i −1.73937 0.262168i −0.798760 0.601649i \(-0.794510\pi\)
−0.940613 + 0.339481i \(0.889749\pi\)
\(440\) 6.49763e7 + 6.02892e7i 0.762776 + 0.707753i
\(441\) 3.31383e7 4.15541e7i 0.386380 0.484505i
\(442\) −2.11929e7 3.10843e7i −0.245428 0.359976i
\(443\) −6.53508e7 + 6.06367e7i −0.751692 + 0.697468i −0.959815 0.280634i \(-0.909455\pi\)
0.208123 + 0.978103i \(0.433265\pi\)
\(444\) 818164. + 1.09176e7i 0.00934742 + 0.124733i
\(445\) 1.08990e8 2.77702e8i 1.23682 3.15137i
\(446\) −2.74532e7 + 1.20280e8i −0.309448 + 1.35578i
\(447\) −1.40442e7 + 4.33206e6i −0.157244 + 0.0485033i
\(448\) −2.22355e7 + 3.26135e7i −0.247294 + 0.362713i
\(449\) −1.46441e7 9.71574e7i −0.161780 1.07334i −0.911415 0.411488i \(-0.865009\pi\)
0.749636 0.661851i \(-0.230229\pi\)
\(450\) −7.52051e7 + 2.95158e7i −0.825296 + 0.323905i
\(451\) −5.90348e7 + 2.84297e7i −0.643545 + 0.309915i
\(452\) 2.00714e7 + 4.16786e7i 0.217351 + 0.451334i
\(453\) 712648. + 1.81580e6i 0.00766621 + 0.0195332i
\(454\) 6.84093e7 1.03110e7i 0.731051 0.110188i
\(455\) −3.11770e8 2.12561e8i −3.30979 2.25658i
\(456\) 1.21618e7 + 3.94277e7i 0.128264 + 0.415822i
\(457\) 7.57139e6 + 1.72812e6i 0.0793281 + 0.0181061i 0.262001 0.965068i \(-0.415618\pi\)
−0.182673 + 0.983174i \(0.558475\pi\)
\(458\) 1.62239e8 + 6.36742e7i 1.68873 + 0.662777i
\(459\) 2.08271e7 1.56078e6i 0.215373 0.0161400i
\(460\) −8.60166e6 9.27038e6i −0.0883708 0.0952410i
\(461\) −2.67171e7 + 1.82154e7i −0.272701 + 0.185924i −0.691947 0.721948i \(-0.743247\pi\)
0.419246 + 0.907873i \(0.362294\pi\)
\(462\) −2.61331e8 2.08405e8i −2.65012 2.11340i
\(463\) 3.62915e6 3.91130e6i 0.0365647 0.0394074i −0.714505 0.699631i \(-0.753348\pi\)
0.751069 + 0.660223i \(0.229538\pi\)
\(464\) 6.69013e6 4.43861e7i 0.0669700 0.444317i
\(465\) −1.16646e7 5.11059e7i −0.116014 0.508290i
\(466\) −3.51991e7 6.09667e7i −0.347836 0.602469i
\(467\) 1.62689e8 + 9.39283e7i 1.59737 + 0.922244i 0.991991 + 0.126308i \(0.0403128\pi\)
0.605382 + 0.795935i \(0.293021\pi\)
\(468\) 2.41479e7 + 7.44865e6i 0.235582 + 0.0726675i
\(469\) −1.47403e8 + 1.17550e8i −1.42886 + 1.13947i
\(470\) 2.10320e7 2.80652e8i 0.202575 2.70318i
\(471\) 2.76208e7 + 1.33015e7i 0.264347 + 0.127303i
\(472\) 4.43763e7i 0.422012i
\(473\) 4.56038e7 + 1.31350e8i 0.430941 + 1.24122i
\(474\) −7.21932e7 −0.677893
\(475\) 9.45424e7 1.96319e8i 0.882157 1.83182i
\(476\) 3.37758e7 + 2.53114e6i 0.313173 + 0.0234691i
\(477\) 2.67451e6 + 3.35373e6i 0.0246427 + 0.0309010i
\(478\) −1.12788e7 + 3.65649e7i −0.103271 + 0.334796i
\(479\) 4.98382e7 8.63224e7i 0.453478 0.785447i −0.545121 0.838357i \(-0.683516\pi\)
0.998599 + 0.0529103i \(0.0168497\pi\)
\(480\) 2.26925e8 1.31015e8i 2.05191 1.18467i
\(481\) 2.25219e7 5.14047e6i 0.202381 0.0461920i
\(482\) 1.66390e8 + 2.50792e7i 1.48589 + 0.223961i
\(483\) −1.77972e7 1.65134e7i −0.157946 0.146553i
\(484\) −3.40240e7 + 4.26647e7i −0.300088 + 0.376299i
\(485\) 3.21056e7 + 4.70903e7i 0.281421 + 0.412768i
\(486\) −6.25108e7 + 5.80015e7i −0.544560 + 0.505278i
\(487\) 1.34128e7 + 1.78982e8i 0.116127 + 1.54961i 0.685832 + 0.727760i \(0.259438\pi\)
−0.569705 + 0.821849i \(0.692943\pi\)
\(488\) −2.08431e7 + 5.31073e7i −0.179350 + 0.456977i
\(489\) −2.20752e7 + 9.67177e7i −0.188789 + 0.827141i
\(490\) 5.50588e8 1.69834e8i 4.67992 1.44356i
\(491\) 2.04162e7 2.99451e7i 0.172477 0.252977i −0.730261 0.683168i \(-0.760602\pi\)
0.902738 + 0.430191i \(0.141554\pi\)
\(492\) 7.28240e6 + 4.83156e7i 0.0611476 + 0.405688i
\(493\) −1.10506e7 + 4.33705e6i −0.0922245 + 0.0361955i
\(494\) −1.54077e8 + 7.41998e7i −1.27808 + 0.615491i
\(495\) 3.73940e7 + 7.76494e7i 0.308309 + 0.640210i
\(496\) 1.37153e7 + 3.49459e7i 0.112398 + 0.286386i
\(497\) 2.47787e8 3.73479e7i 2.01841 0.304226i
\(498\) 9.34279e7 + 6.36981e7i 0.756464 + 0.515749i
\(499\) −3.27604e7 1.06207e8i −0.263662 0.854771i −0.986501 0.163754i \(-0.947640\pi\)
0.722839 0.691016i \(-0.242837\pi\)
\(500\) −1.93286e8 4.41164e7i −1.54629 0.352931i
\(501\) 1.67068e8 + 6.55695e7i 1.32856 + 0.521421i
\(502\) −1.48983e8 + 1.11648e7i −1.17768 + 0.0882548i
\(503\) −7.59366e7 8.18402e7i −0.596688 0.643077i 0.360426 0.932788i \(-0.382631\pi\)
−0.957114 + 0.289711i \(0.906441\pi\)
\(504\) 2.40115e7 1.63708e7i 0.187555 0.127873i
\(505\) 1.16105e8 + 9.25903e7i 0.901520 + 0.718938i
\(506\) −1.60775e7 + 1.73274e7i −0.124099 + 0.133746i
\(507\) 1.25794e7 8.34586e7i 0.0965239 0.640394i
\(508\) −1.19151e6 5.22035e6i −0.00908881 0.0398207i
\(509\) −1.29802e8 2.24824e8i −0.984304 1.70486i −0.644991 0.764190i \(-0.723139\pi\)
−0.339313 0.940674i \(-0.610195\pi\)
\(510\) −8.28599e7 4.78392e7i −0.624646 0.360639i
\(511\) 2.16538e8 + 6.67931e7i 1.62282 + 0.500575i
\(512\) −9.08644e7 + 7.24620e7i −0.676993 + 0.539884i
\(513\) 7.09471e6 9.46723e7i 0.0525512 0.701247i
\(514\) 1.46755e8 + 7.06736e7i 1.08070 + 0.520436i
\(515\) 4.05858e8i 2.97134i
\(516\) 1.03621e8 3.62527e6i 0.754219 0.0263871i
\(517\) −2.09654e8 −1.51716
\(518\) −2.26416e7 + 4.70158e7i −0.162899 + 0.338263i
\(519\) 1.92232e8 + 1.44058e7i 1.37507 + 0.103047i
\(520\) −8.69567e7 1.09040e8i −0.618433 0.775491i
\(521\) −5.39255e7 + 1.74822e8i −0.381312 + 1.23618i 0.538097 + 0.842883i \(0.319143\pi\)
−0.919409 + 0.393302i \(0.871333\pi\)
\(522\) 1.00038e7 1.73270e7i 0.0703319 0.121818i
\(523\) −2.42292e8 + 1.39887e8i −1.69369 + 0.977853i −0.742200 + 0.670179i \(0.766217\pi\)
−0.951492 + 0.307675i \(0.900449\pi\)
\(524\) −8.96149e7 + 2.04540e7i −0.622854 + 0.142162i
\(525\) −6.62640e8 9.98769e7i −4.57931 0.690220i
\(526\) 5.88946e7 + 5.46462e7i 0.404686 + 0.375494i
\(527\) 6.19023e6 7.76230e6i 0.0422936 0.0530345i
\(528\) −1.51816e8 2.22673e8i −1.03137 1.51275i
\(529\) 1.07259e8 9.95222e7i 0.724550 0.672284i
\(530\) 3.47514e6 + 4.63725e7i 0.0233424 + 0.311482i
\(531\) 1.57637e7 4.01652e7i 0.105287 0.268266i
\(532\) 3.42599e7 1.50103e8i 0.227537 0.996903i
\(533\) 9.85180e7 3.03888e7i 0.650630 0.200693i
\(534\) −2.34232e8 + 3.43556e8i −1.53824 + 2.25618i
\(535\) 4.66570e7 + 3.09549e8i 0.304688 + 2.02147i
\(536\) −6.48678e7 + 2.54588e7i −0.421245 + 0.165327i
\(537\) 1.24680e8 6.00426e7i 0.805143 0.387736i
\(538\) −1.03979e8 2.15914e8i −0.667724 1.38654i
\(539\) −1.56813e8 3.99552e8i −1.00142 2.55157i
\(540\) −1.50387e8 + 2.26672e7i −0.955056 + 0.143952i
\(541\) 1.62729e8 + 1.10947e8i 1.02772 + 0.700685i 0.954981 0.296667i \(-0.0958750\pi\)
0.0727347 + 0.997351i \(0.476827\pi\)
\(542\) −8.24381e7 2.67258e8i −0.517762 1.67854i
\(543\) 1.01074e8 + 2.30694e7i 0.631304 + 0.144091i
\(544\) 4.61979e7 + 1.81313e7i 0.286962 + 0.112624i
\(545\) −1.92594e8 + 1.44330e7i −1.18975 + 0.0891591i
\(546\) 3.57726e8 + 3.85537e8i 2.19772 + 2.36858i
\(547\) 3.62627e7 2.47235e7i 0.221564 0.151059i −0.447452 0.894308i \(-0.647668\pi\)
0.669015 + 0.743249i \(0.266716\pi\)
\(548\) 7.66733e7 + 6.11449e7i 0.465910 + 0.371551i
\(549\) −3.77303e7 + 4.06636e7i −0.228020 + 0.245747i
\(550\) −9.72407e7 + 6.45150e8i −0.584467 + 3.87768i
\(551\) 1.20077e7 + 5.26093e7i 0.0717805 + 0.314491i
\(552\) −4.48674e6 7.77127e6i −0.0266756 0.0462035i
\(553\) −1.18768e8 6.85708e7i −0.702303 0.405475i
\(554\) −3.20470e8 9.88518e7i −1.88477 0.581373i
\(555\) 4.59328e7 3.66302e7i 0.268686 0.214270i
\(556\) 1.29538e7 1.72857e8i 0.0753657 1.00569i
\(557\) −1.89759e8 9.13833e7i −1.09809 0.528812i −0.205032 0.978755i \(-0.565730\pi\)
−0.893057 + 0.449943i \(0.851444\pi\)
\(558\) 1.67330e7i 0.0963102i
\(559\) −4.01508e7 2.15060e8i −0.229858 1.23119i
\(560\) 6.87251e8 3.91337
\(561\) −3.09248e7 + 6.42160e7i −0.175153 + 0.363710i
\(562\) −6.46396e7 4.84407e6i −0.364158 0.0272899i
\(563\) −1.76797e8 2.21696e8i −0.990715 1.24232i −0.970144 0.242529i \(-0.922023\pi\)
−0.0205713 0.999788i \(-0.506549\pi\)
\(564\) −4.60821e7 + 1.49394e8i −0.256859 + 0.832716i
\(565\) 1.24119e8 2.14981e8i 0.688166 1.19194i
\(566\) 3.99068e8 2.30402e8i 2.20088 1.27068i
\(567\) −3.77391e8 + 8.61371e7i −2.07034 + 0.472543i
\(568\) 9.15847e7 + 1.38042e7i 0.499779 + 0.0753295i
\(569\) −7.29034e7 6.76445e7i −0.395741 0.367194i 0.457055 0.889439i \(-0.348904\pi\)
−0.852796 + 0.522245i \(0.825095\pi\)
\(570\) −2.71167e8 + 3.40033e8i −1.46424 + 1.83610i
\(571\) −1.23062e7 1.80499e7i −0.0661024 0.0969544i 0.791764 0.610827i \(-0.209163\pi\)
−0.857867 + 0.513872i \(0.828210\pi\)
\(572\) 1.49600e8 1.38809e8i 0.799364 0.741702i
\(573\) 2.22735e6 + 2.97220e7i 0.0118393 + 0.157984i
\(574\) −8.50850e7 + 2.16793e8i −0.449901 + 1.14633i
\(575\) −1.05450e7 + 4.62007e7i −0.0554682 + 0.243022i
\(576\) −1.35553e7 + 4.18125e6i −0.0709318 + 0.0218795i
\(577\) −1.36657e8 + 2.00439e8i −0.711384 + 1.04341i 0.285007 + 0.958525i \(0.408004\pi\)
−0.996391 + 0.0848827i \(0.972948\pi\)
\(578\) 3.44094e7 + 2.28291e8i 0.178194 + 1.18224i
\(579\) 2.96204e8 1.16251e8i 1.52600 0.598912i
\(580\) 7.78842e7 3.75070e7i 0.399177 0.192233i
\(581\) 9.32003e7 + 1.93532e8i 0.475214 + 0.986791i
\(582\) −2.90220e7 7.39469e7i −0.147217 0.375103i
\(583\) 3.42546e7 5.16305e6i 0.172867 0.0260556i
\(584\) 6.92023e7 + 4.71813e7i 0.347442 + 0.236882i
\(585\) −3.99708e7 1.29582e8i −0.199653 0.647258i
\(586\) −1.09988e8 2.51041e7i −0.546579 0.124753i
\(587\) 1.26996e8 + 4.98423e7i 0.627879 + 0.246424i 0.657877 0.753126i \(-0.271455\pi\)
−0.0299979 + 0.999550i \(0.509550\pi\)
\(588\) −3.19178e8 + 2.39191e7i −1.57001 + 0.117656i
\(589\) −3.06966e7 3.30831e7i −0.150226 0.161905i
\(590\) 3.86480e8 2.63497e8i 1.88179 1.28298i
\(591\) −1.05001e8 8.37358e7i −0.508666 0.405647i
\(592\) −2.86179e7 + 3.08427e7i −0.137934 + 0.148658i
\(593\) 3.51582e7 2.33260e8i 0.168602 1.11860i −0.731155 0.682211i \(-0.761018\pi\)
0.899757 0.436391i \(-0.143744\pi\)
\(594\) 6.32551e7 + 2.77139e8i 0.301812 + 1.32232i
\(595\) −9.08775e7 1.57404e8i −0.431425 0.747251i
\(596\) 1.75544e7 + 1.01350e7i 0.0829176 + 0.0478725i
\(597\) −1.28695e8 3.96972e7i −0.604839 0.186568i
\(598\) 2.90781e7 2.31890e7i 0.135976 0.108437i
\(599\) 1.03874e7 1.38610e8i 0.0483310 0.644933i −0.919461 0.393181i \(-0.871374\pi\)
0.967792 0.251751i \(-0.0810065\pi\)
\(600\) −2.23157e8 1.07467e8i −1.03313 0.497531i
\(601\) 7.49553e7i 0.345286i −0.984984 0.172643i \(-0.944769\pi\)
0.984984 0.172643i \(-0.0552307\pi\)
\(602\) 4.36367e8 + 2.31984e8i 2.00015 + 1.06333i
\(603\) −6.77558e7 −0.309026
\(604\) 1.16727e6 2.42387e6i 0.00529739 0.0110001i
\(605\) 2.92015e8 + 2.18835e7i 1.31868 + 0.0988212i
\(606\) −1.29053e8 1.61827e8i −0.579897 0.727167i
\(607\) −9.22709e6 + 2.99135e7i −0.0412571 + 0.133752i −0.973858 0.227156i \(-0.927057\pi\)
0.932601 + 0.360909i \(0.117533\pi\)
\(608\) 1.12796e8 1.95369e8i 0.501862 0.869251i
\(609\) 1.43722e8 8.29780e7i 0.636315 0.367376i
\(610\) −5.86280e8 + 1.33815e8i −2.58295 + 0.589541i
\(611\) 3.26196e8 + 4.91662e7i 1.43006 + 0.215548i
\(612\) 8.92295e6 + 8.27929e6i 0.0389273 + 0.0361193i
\(613\) 1.24489e8 1.56104e8i 0.540442 0.677693i −0.434367 0.900736i \(-0.643028\pi\)
0.974808 + 0.223044i \(0.0715992\pi\)
\(614\) 1.02591e8 + 1.50473e8i 0.443203 + 0.650059i
\(615\) 1.92205e8 1.78340e8i 0.826304 0.766698i
\(616\) −1.75385e7 2.34035e8i −0.0750325 1.00124i
\(617\) −5.05131e7 + 1.28705e8i −0.215055 + 0.547950i −0.997170 0.0751838i \(-0.976046\pi\)
0.782115 + 0.623134i \(0.214141\pi\)
\(618\) 1.25877e8 5.51505e8i 0.533313 2.33660i
\(619\) −6.31149e7 + 1.94684e7i −0.266109 + 0.0820838i −0.424938 0.905222i \(-0.639704\pi\)
0.158829 + 0.987306i \(0.449228\pi\)
\(620\) −4.07264e7 + 5.97346e7i −0.170884 + 0.250640i
\(621\) 3.07731e6 + 2.04166e7i 0.0128498 + 0.0852530i
\(622\) 3.86810e8 1.51812e8i 1.60741 0.630862i
\(623\) −7.11663e8 + 3.42719e8i −2.94314 + 1.41734i
\(624\) 1.83988e8 + 3.82054e8i 0.757243 + 1.57243i
\(625\) 1.82225e8 + 4.64301e8i 0.746393 + 1.90178i
\(626\) −1.70728e7 + 2.57331e6i −0.0695956 + 0.0104898i
\(627\) 2.67691e8 + 1.82508e8i 1.08600 + 0.740424i
\(628\) −1.24627e7 4.04029e7i −0.0503190 0.163130i
\(629\) 1.08483e7 + 2.47605e6i 0.0435923 + 0.00994966i
\(630\) 2.85151e8 + 1.11913e8i 1.14039 + 0.447570i
\(631\) 3.57234e7 2.67710e6i 0.142189 0.0106556i −0.00344562 0.999994i \(-0.501097\pi\)
0.145634 + 0.989338i \(0.453478\pi\)
\(632\) −3.44773e7 3.71577e7i −0.136578 0.147196i
\(633\) −2.48491e8 + 1.69418e8i −0.979713 + 0.667957i
\(634\) −1.24326e8 9.91465e7i −0.487858 0.389054i
\(635\) −1.95439e7 + 2.10633e7i −0.0763291 + 0.0822632i
\(636\) 3.85011e6 2.55438e7i 0.0149659 0.0992920i
\(637\) 1.50282e8 + 6.58428e8i 0.581418 + 2.54736i
\(638\) −8.07878e7 1.39929e8i −0.311088 0.538821i
\(639\) 7.79901e7 + 4.50276e7i 0.298907 + 0.172574i
\(640\) 3.74189e8 + 1.15422e8i 1.42742 + 0.440300i
\(641\) −1.56362e8 + 1.24694e8i −0.593686 + 0.473449i −0.873645 0.486563i \(-0.838250\pi\)
0.279960 + 0.960012i \(0.409679\pi\)
\(642\) 3.26066e7 4.35105e8i 0.123225 1.64433i
\(643\) 3.46249e8 + 1.66745e8i 1.30243 + 0.627219i 0.951057 0.309015i \(-0.0999992\pi\)
0.351377 + 0.936234i \(0.385713\pi\)
\(644\) 3.34841e7i 0.125366i
\(645\) −3.29306e8 4.48469e8i −1.22721 1.67130i
\(646\) −8.23734e7 −0.305555
\(647\) 2.05202e8 4.26106e8i 0.757650 1.57328i −0.0604312 0.998172i \(-0.519248\pi\)
0.818081 0.575103i \(-0.195038\pi\)
\(648\) −1.42675e8 1.06920e7i −0.524352 0.0392948i
\(649\) −2.17255e8 2.72429e8i −0.794760 0.996598i
\(650\) 3.02589e8 9.80970e8i 1.10183 3.57203i
\(651\) −6.93975e7 + 1.20200e8i −0.251537 + 0.435674i
\(652\) 1.18491e8 6.84110e7i 0.427507 0.246822i
\(653\) 3.46982e7 7.91964e6i 0.124614 0.0284424i −0.159759 0.987156i \(-0.551072\pi\)
0.284373 + 0.958714i \(0.408215\pi\)
\(654\) 2.66186e8 + 4.01210e7i 0.951593 + 0.143430i
\(655\) 3.61583e8 + 3.35500e8i 1.28672 + 1.19390i
\(656\) −1.17076e8 + 1.46809e8i −0.414721 + 0.520044i
\(657\) 4.58752e7 + 6.72865e7i 0.161764 + 0.237264i
\(658\) −5.46254e8 + 5.06850e8i −1.91742 + 1.77910i
\(659\) −2.52702e7 3.37207e8i −0.0882983 1.17826i −0.848725 0.528835i \(-0.822629\pi\)
0.760426 0.649424i \(-0.224990\pi\)
\(660\) 1.89616e8 4.83134e8i 0.659543 1.68049i
\(661\) 1.16767e8 5.11589e8i 0.404310 1.77140i −0.205301 0.978699i \(-0.565817\pi\)
0.609611 0.792700i \(-0.291326\pi\)
\(662\) −2.89233e8 + 8.92166e7i −0.996952 + 0.307519i
\(663\) 6.31745e7 9.26600e7i 0.216771 0.317945i
\(664\) 1.18331e7 + 7.85074e7i 0.0404198 + 0.268168i
\(665\) −7.69080e8 + 3.01842e8i −2.61521 + 1.02639i
\(666\) −1.68965e7 + 8.13692e6i −0.0571971 + 0.0275447i
\(667\) −5.09198e6 1.05736e7i −0.0171597 0.0356325i
\(668\) −9.04324e7 2.30418e8i −0.303386 0.773014i
\(669\) −3.63660e8 + 5.48129e7i −1.21456 + 0.183065i
\(670\) −6.06896e8 4.13774e8i −2.01785 1.37575i
\(671\) 1.32043e8 + 4.28072e8i 0.437066 + 1.41693i
\(672\) −6.76395e8 1.54383e8i −2.22891 0.508734i
\(673\) −2.74718e7 1.07819e7i −0.0901242 0.0353711i 0.319851 0.947468i \(-0.396367\pi\)
−0.409975 + 0.912097i \(0.634463\pi\)
\(674\) 3.15368e7 2.36336e6i 0.103000 0.00771880i
\(675\) 3.87633e8 + 4.17769e8i 1.26040 + 1.35839i
\(676\) −9.61783e7 + 6.55732e7i −0.311341 + 0.212269i
\(677\) 2.44249e8 + 1.94782e8i 0.787168 + 0.627745i 0.932308 0.361666i \(-0.117792\pi\)
−0.145140 + 0.989411i \(0.546363\pi\)
\(678\) −2.35337e8 + 2.53633e8i −0.755095 + 0.813799i
\(679\) 2.24911e7 1.49219e8i 0.0718459 0.476666i
\(680\) −1.49487e7 6.54943e7i −0.0475418 0.208294i
\(681\) 1.03113e8 + 1.78598e8i 0.326493 + 0.565502i
\(682\) 1.17027e8 + 6.75658e7i 0.368922 + 0.212997i
\(683\) 5.40225e8 + 1.66637e8i 1.69556 + 0.523010i 0.983777 0.179393i \(-0.0574134\pi\)
0.711779 + 0.702403i \(0.247890\pi\)
\(684\) 4.32595e7 3.44983e7i 0.135180 0.107803i
\(685\) 3.93271e7 5.24783e8i 0.122354 1.63271i
\(686\) −7.15651e8 3.44639e8i −2.21681 1.06756i
\(687\) 5.19537e8i 1.60231i
\(688\) 2.81069e8 + 2.82437e8i 0.863073 + 0.867275i
\(689\) −5.45067e7 −0.166645
\(690\) 4.10397e7 8.52199e7i 0.124927 0.259414i
\(691\) 4.84417e7 + 3.63020e6i 0.146820 + 0.0110026i 0.147937 0.988997i \(-0.452737\pi\)
−0.00111739 + 0.999999i \(0.500356\pi\)
\(692\) −1.65765e8 2.07863e8i −0.500236 0.627277i
\(693\) 6.72613e7 2.18056e8i 0.202100 0.655191i
\(694\) −5.08647e7 + 8.81002e7i −0.152173 + 0.263571i
\(695\) −8.05561e8 + 4.65091e8i −2.39963 + 1.38543i
\(696\) 5.98013e7 1.36492e7i 0.177371 0.0404838i
\(697\) 4.91057e7 + 7.40149e6i 0.145022 + 0.0218585i
\(698\) 1.91012e8 + 1.77233e8i 0.561686 + 0.521168i
\(699\) 1.30841e8 1.64069e8i 0.383100 0.480392i
\(700\) 5.20635e8 + 7.63631e8i 1.51789 + 2.22633i
\(701\) 1.38013e8 1.28057e8i 0.400651 0.371749i −0.453957 0.891024i \(-0.649988\pi\)
0.854608 + 0.519274i \(0.173798\pi\)
\(702\) −3.34251e7 4.46027e8i −0.0966188 1.28929i
\(703\) 1.84791e7 4.70841e7i 0.0531883 0.135522i
\(704\) −2.54916e7 + 1.11686e8i −0.0730599 + 0.320097i
\(705\) 8.01677e8 2.47285e8i 2.28787 0.705716i
\(706\) −2.72564e8 + 3.99779e8i −0.774560 + 1.13607i
\(707\) −5.86032e7 3.88807e8i −0.165830 1.10021i
\(708\) −2.41879e8 + 9.49306e7i −0.681551 + 0.267489i
\(709\) 3.58029e8 1.72418e8i 1.00457 0.483774i 0.142081 0.989855i \(-0.454621\pi\)
0.862486 + 0.506081i \(0.168906\pi\)
\(710\) 4.23588e8 + 8.79591e8i 1.18350 + 2.45757i
\(711\) −1.80061e7 4.58788e7i −0.0500970 0.127645i
\(712\) −2.88690e8 + 4.35130e7i −0.799819 + 0.120553i
\(713\) 8.10962e6 + 5.52904e6i 0.0223734 + 0.0152539i
\(714\) 7.46708e7 + 2.42077e8i 0.205143 + 0.665057i
\(715\) −1.06767e9 2.43688e8i −2.92091 0.666678i
\(716\) −1.77664e8 6.97279e7i −0.484016 0.189962i
\(717\) −1.13746e8 + 8.52409e6i −0.308588 + 0.0231255i
\(718\) −1.71456e7 1.84786e7i −0.0463213 0.0499225i
\(719\) 1.53952e8 1.04962e8i 0.414188 0.282389i −0.338244 0.941058i \(-0.609833\pi\)
0.752432 + 0.658670i \(0.228881\pi\)
\(720\) 1.93099e8 + 1.53992e8i 0.517349 + 0.412572i
\(721\) 7.30918e8 7.87743e8i 1.95013 2.10174i
\(722\) 1.65233e7 1.09625e8i 0.0439021 0.291271i
\(723\) 1.11616e8 + 4.89023e8i 0.295333 + 1.29394i
\(724\) −7.14921e7 1.23828e8i −0.188383 0.326289i
\(725\) −2.80533e8 1.61966e8i −0.736156 0.425020i
\(726\) −3.90021e8 1.20305e8i −1.01924 0.314395i
\(727\) −7.77502e7 + 6.20037e7i −0.202348 + 0.161367i −0.719421 0.694574i \(-0.755593\pi\)
0.517073 + 0.855941i \(0.327021\pi\)
\(728\) −2.75959e7 + 3.68242e8i −0.0715238 + 0.954419i
\(729\) 1.92916e8 + 9.29034e7i 0.497950 + 0.239800i
\(730\) 8.82845e8i 2.26943i
\(731\) 2.75213e7 1.01722e8i 0.0704559 0.260414i
\(732\) 3.34056e8 0.851699
\(733\) −1.00653e8 + 2.09008e8i −0.255572 + 0.530702i −0.988794 0.149288i \(-0.952302\pi\)
0.733221 + 0.679990i \(0.238016\pi\)
\(734\) −6.20245e8 4.64810e7i −1.56847 0.117540i
\(735\) 1.07089e9 + 1.34285e9i 2.69701 + 3.38194i
\(736\) −1.44614e7 + 4.68827e7i −0.0362724 + 0.117592i
\(737\) −2.73589e8 + 4.73870e8i −0.683433 + 1.18374i
\(738\) −7.24832e7 + 4.18482e7i −0.180330 + 0.104114i
\(739\) −1.92920e8 + 4.40326e7i −0.478017 + 0.109104i −0.454739 0.890625i \(-0.650267\pi\)
−0.0232779 + 0.999729i \(0.507410\pi\)
\(740\) −8.01225e7 1.20765e7i −0.197724 0.0298021i
\(741\) −3.73694e8 3.46737e8i −0.918461 0.852208i
\(742\) 7.67683e7 9.62645e7i 0.187919 0.235643i
\(743\) 3.07659e7 + 4.51252e7i 0.0750071 + 0.110015i 0.861909 0.507063i \(-0.169269\pi\)
−0.786902 + 0.617078i \(0.788316\pi\)
\(744\) −3.76057e7 + 3.48930e7i −0.0913134 + 0.0847265i
\(745\) −8.12860e6 1.08469e8i −0.0196583 0.262322i
\(746\) 1.63905e6 4.17623e6i 0.00394798 0.0100593i
\(747\) −1.71778e7 + 7.52608e7i −0.0412103 + 0.180554i
\(748\) 9.39333e7 2.89746e7i 0.224448 0.0692329i
\(749\) 4.66915e8 6.84839e8i 1.11120 1.62983i
\(750\) −2.21007e8 1.46629e9i −0.523869 3.47564i
\(751\) −2.27052e8 + 8.91114e7i −0.536050 + 0.210384i −0.617895 0.786261i \(-0.712014\pi\)
0.0818443 + 0.996645i \(0.473919\pi\)
\(752\) −5.41319e8 + 2.60686e8i −1.27292 + 0.613004i