Properties

Label 43.7.d.a.7.19
Level 43
Weight 7
Character 43.7
Analytic conductor 9.892
Analytic rank 0
Dimension 42
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(42\)
Relative dimension: \(21\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.19
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.3

$q$-expansion

\(f(q)\) \(=\) \(q+12.8196i q^{2} +(-27.1856 + 15.6956i) q^{3} -100.343 q^{4} +(-154.521 + 89.2129i) q^{5} +(-201.212 - 348.509i) q^{6} +(237.672 + 137.220i) q^{7} -465.907i q^{8} +(128.203 - 222.054i) q^{9} +O(q^{10})\) \(q+12.8196i q^{2} +(-27.1856 + 15.6956i) q^{3} -100.343 q^{4} +(-154.521 + 89.2129i) q^{5} +(-201.212 - 348.509i) q^{6} +(237.672 + 137.220i) q^{7} -465.907i q^{8} +(128.203 - 222.054i) q^{9} +(-1143.68 - 1980.91i) q^{10} +1248.81 q^{11} +(2727.89 - 1574.95i) q^{12} +(-1134.17 + 1964.44i) q^{13} +(-1759.11 + 3046.86i) q^{14} +(2800.50 - 4850.61i) q^{15} -449.209 q^{16} +(-125.974 + 218.194i) q^{17} +(2846.65 + 1643.52i) q^{18} +(5838.49 - 3370.86i) q^{19} +(15505.2 - 8951.91i) q^{20} -8614.98 q^{21} +16009.3i q^{22} +(6606.78 + 11443.3i) q^{23} +(7312.68 + 12665.9i) q^{24} +(8105.39 - 14038.9i) q^{25} +(-25183.4 - 14539.7i) q^{26} -14835.3i q^{27} +(-23848.7 - 13769.1i) q^{28} +(-21385.7 - 12347.0i) q^{29} +(62183.0 + 35901.4i) q^{30} +(-9219.56 - 15968.7i) q^{31} -35576.7i q^{32} +(-33949.7 + 19600.9i) q^{33} +(-2797.17 - 1614.94i) q^{34} -48967.1 q^{35} +(-12864.3 + 22281.6i) q^{36} +(-61805.5 + 35683.4i) q^{37} +(43213.2 + 74847.4i) q^{38} -71205.9i q^{39} +(41564.9 + 71992.5i) q^{40} +101877. q^{41} -110441. i q^{42} +(-62823.1 + 48730.0i) q^{43} -125310. q^{44} +45749.4i q^{45} +(-146699. + 84696.5i) q^{46} +826.733 q^{47} +(12212.0 - 7050.60i) q^{48} +(-21166.0 - 36660.5i) q^{49} +(179974. + 103908. i) q^{50} -7908.96i q^{51} +(113806. - 197118. i) q^{52} +(123261. + 213495. i) q^{53} +190183. q^{54} +(-192968. + 111410. i) q^{55} +(63931.6 - 110733. i) q^{56} +(-105815. + 183277. i) q^{57} +(158285. - 274157. i) q^{58} +287368. q^{59} +(-281011. + 486725. i) q^{60} +(-373160. - 215444. i) q^{61} +(204713. - 118191. i) q^{62} +(60940.4 - 35184.0i) q^{63} +427331. q^{64} -404731. i q^{65} +(-251276. - 435223. i) q^{66} +(-68734.6 - 119052. i) q^{67} +(12640.7 - 21894.3i) q^{68} +(-359218. - 207395. i) q^{69} -627741. i q^{70} +(90467.6 + 52231.5i) q^{71} +(-103456. - 59730.6i) q^{72} +(286616. + 165478. i) q^{73} +(-457449. - 792324. i) q^{74} +508875. i q^{75} +(-585853. + 338242. i) q^{76} +(296808. + 171362. i) q^{77} +912834. q^{78} +(-419278. + 726211. i) q^{79} +(69412.4 - 40075.2i) q^{80} +(326308. + 565183. i) q^{81} +1.30603e6i q^{82} +(-89773.6 - 155492. i) q^{83} +864454. q^{84} -44954.1i q^{85} +(-624702. - 805370. i) q^{86} +775176. q^{87} -581831. i q^{88} +(-450443. + 260063. i) q^{89} -586491. q^{90} +(-539121. + 311261. i) q^{91} +(-662945. - 1.14825e6i) q^{92} +(501277. + 289413. i) q^{93} +10598.4i q^{94} +(-601448. + 1.04174e6i) q^{95} +(558398. + 967173. i) q^{96} +1.59060e6 q^{97} +(469975. - 271340. i) q^{98} +(160102. - 277304. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} + O(q^{10}) \) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} - 981q^{10} - 4104q^{11} + 918q^{12} + 4843q^{13} + 2814q^{14} - 163q^{15} + 36678q^{16} + 3641q^{17} - 507q^{18} - 5229q^{19} - 1599q^{20} - 29990q^{21} + 6575q^{23} - 4622q^{24} + 68484q^{25} + 189q^{26} + 48948q^{28} + 95361q^{29} - 85041q^{30} - 79373q^{31} - 79638q^{33} - 184743q^{34} - 80582q^{35} + 59972q^{36} - 66063q^{37} - 69820q^{38} + 189951q^{40} + 40632q^{41} - 368728q^{43} + 130330q^{44} + 34056q^{46} - 247820q^{47} + 326907q^{48} - 21876q^{49} - 28638q^{50} - 617150q^{52} + 11639q^{53} + 655904q^{54} - 43638q^{55} + 553875q^{56} - 422859q^{57} + 587796q^{58} - 649352q^{59} + 875455q^{60} - 52251q^{61} + 1335249q^{62} + 93690q^{63} - 792420q^{64} + 160395q^{66} - 173603q^{67} + 22286q^{68} + 870417q^{69} + 1670505q^{71} - 2068518q^{72} - 2646201q^{73} - 1625030q^{74} - 80622q^{76} - 486066q^{77} + 2835040q^{78} + 1897639q^{79} - 817059q^{80} + 2215367q^{81} + 1584059q^{83} - 824560q^{84} - 2333682q^{86} - 5547198q^{87} + 2736939q^{89} + 1092196q^{90} - 3724131q^{91} + 470257q^{92} + 488433q^{93} - 1289839q^{95} + 1697650q^{96} + 5260848q^{97} + 4722621q^{98} + 1375834q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 12.8196i 1.60246i 0.598360 + 0.801228i \(0.295819\pi\)
−0.598360 + 0.801228i \(0.704181\pi\)
\(3\) −27.1856 + 15.6956i −1.00687 + 0.581318i −0.910274 0.414005i \(-0.864129\pi\)
−0.0965980 + 0.995323i \(0.530796\pi\)
\(4\) −100.343 −1.56786
\(5\) −154.521 + 89.2129i −1.23617 + 0.713703i −0.968309 0.249754i \(-0.919650\pi\)
−0.267861 + 0.963458i \(0.586317\pi\)
\(6\) −201.212 348.509i −0.931536 1.61347i
\(7\) 237.672 + 137.220i 0.692920 + 0.400058i 0.804705 0.593675i \(-0.202323\pi\)
−0.111785 + 0.993732i \(0.535657\pi\)
\(8\) 465.907i 0.909974i
\(9\) 128.203 222.054i 0.175861 0.304601i
\(10\) −1143.68 1980.91i −1.14368 1.98091i
\(11\) 1248.81 0.938252 0.469126 0.883131i \(-0.344569\pi\)
0.469126 + 0.883131i \(0.344569\pi\)
\(12\) 2727.89 1574.95i 1.57864 0.911427i
\(13\) −1134.17 + 1964.44i −0.516236 + 0.894147i 0.483586 + 0.875297i \(0.339334\pi\)
−0.999822 + 0.0188506i \(0.993999\pi\)
\(14\) −1759.11 + 3046.86i −0.641074 + 1.11037i
\(15\) 2800.50 4850.61i 0.829777 1.43722i
\(16\) −449.209 −0.109670
\(17\) −125.974 + 218.194i −0.0256410 + 0.0444115i −0.878561 0.477630i \(-0.841496\pi\)
0.852920 + 0.522041i \(0.174829\pi\)
\(18\) 2846.65 + 1643.52i 0.488109 + 0.281810i
\(19\) 5838.49 3370.86i 0.851217 0.491450i −0.00984455 0.999952i \(-0.503134\pi\)
0.861061 + 0.508501i \(0.169800\pi\)
\(20\) 15505.2 8951.91i 1.93814 1.11899i
\(21\) −8614.98 −0.930243
\(22\) 16009.3i 1.50351i
\(23\) 6606.78 + 11443.3i 0.543008 + 0.940517i 0.998729 + 0.0503949i \(0.0160480\pi\)
−0.455721 + 0.890122i \(0.650619\pi\)
\(24\) 7312.68 + 12665.9i 0.528984 + 0.916228i
\(25\) 8105.39 14038.9i 0.518745 0.898492i
\(26\) −25183.4 14539.7i −1.43283 0.827245i
\(27\) 14835.3i 0.753710i
\(28\) −23848.7 13769.1i −1.08640 0.627235i
\(29\) −21385.7 12347.0i −0.876858 0.506254i −0.00723686 0.999974i \(-0.502304\pi\)
−0.869621 + 0.493720i \(0.835637\pi\)
\(30\) 62183.0 + 35901.4i 2.30307 + 1.32968i
\(31\) −9219.56 15968.7i −0.309475 0.536026i 0.668773 0.743467i \(-0.266820\pi\)
−0.978248 + 0.207441i \(0.933486\pi\)
\(32\) 35576.7i 1.08572i
\(33\) −33949.7 + 19600.9i −0.944700 + 0.545423i
\(34\) −2797.17 1614.94i −0.0711675 0.0410886i
\(35\) −48967.1 −1.14209
\(36\) −12864.3 + 22281.6i −0.275726 + 0.477572i
\(37\) −61805.5 + 35683.4i −1.22017 + 0.704468i −0.964955 0.262415i \(-0.915481\pi\)
−0.255219 + 0.966883i \(0.582148\pi\)
\(38\) 43213.2 + 74847.4i 0.787527 + 1.36404i
\(39\) 71205.9i 1.20039i
\(40\) 41564.9 + 71992.5i 0.649451 + 1.12488i
\(41\) 101877. 1.47817 0.739085 0.673612i \(-0.235258\pi\)
0.739085 + 0.673612i \(0.235258\pi\)
\(42\) 110441.i 1.49067i
\(43\) −62823.1 + 48730.0i −0.790158 + 0.612903i
\(44\) −125310. −1.47105
\(45\) 45749.4i 0.502052i
\(46\) −146699. + 84696.5i −1.50714 + 0.870146i
\(47\) 826.733 0.00796291 0.00398145 0.999992i \(-0.498733\pi\)
0.00398145 + 0.999992i \(0.498733\pi\)
\(48\) 12212.0 7050.60i 0.110424 0.0637532i
\(49\) −21166.0 36660.5i −0.179908 0.311609i
\(50\) 179974. + 103908.i 1.43979 + 0.831265i
\(51\) 7908.96i 0.0596223i
\(52\) 113806. 197118.i 0.809387 1.40190i
\(53\) 123261. + 213495.i 0.827942 + 1.43404i 0.899650 + 0.436611i \(0.143822\pi\)
−0.0717085 + 0.997426i \(0.522845\pi\)
\(54\) 190183. 1.20779
\(55\) −192968. + 111410.i −1.15984 + 0.669634i
\(56\) 63931.6 110733.i 0.364042 0.630539i
\(57\) −105815. + 183277.i −0.571378 + 0.989655i
\(58\) 158285. 274157.i 0.811250 1.40513i
\(59\) 287368. 1.39921 0.699605 0.714530i \(-0.253359\pi\)
0.699605 + 0.714530i \(0.253359\pi\)
\(60\) −281011. + 486725.i −1.30098 + 2.25336i
\(61\) −373160. 215444.i −1.64401 0.949172i −0.979386 0.201996i \(-0.935257\pi\)
−0.664627 0.747175i \(-0.731410\pi\)
\(62\) 204713. 118191.i 0.858957 0.495919i
\(63\) 60940.4 35184.0i 0.243716 0.140709i
\(64\) 427331. 1.63014
\(65\) 404731.i 1.47376i
\(66\) −251276. 435223.i −0.874016 1.51384i
\(67\) −68734.6 119052.i −0.228534 0.395833i 0.728840 0.684684i \(-0.240060\pi\)
−0.957374 + 0.288851i \(0.906727\pi\)
\(68\) 12640.7 21894.3i 0.0402016 0.0696311i
\(69\) −359218. 207395.i −1.09348 0.631321i
\(70\) 627741.i 1.83015i
\(71\) 90467.6 + 52231.5i 0.252766 + 0.145934i 0.621030 0.783787i \(-0.286715\pi\)
−0.368264 + 0.929721i \(0.620048\pi\)
\(72\) −103456. 59730.6i −0.277179 0.160029i
\(73\) 286616. + 165478.i 0.736770 + 0.425375i 0.820894 0.571081i \(-0.193476\pi\)
−0.0841235 + 0.996455i \(0.526809\pi\)
\(74\) −457449. 792324.i −1.12888 1.95527i
\(75\) 508875.i 1.20622i
\(76\) −585853. + 338242.i −1.33459 + 0.770526i
\(77\) 296808. + 171362.i 0.650134 + 0.375355i
\(78\) 912834. 1.92357
\(79\) −419278. + 726211.i −0.850395 + 1.47293i 0.0304572 + 0.999536i \(0.490304\pi\)
−0.880852 + 0.473391i \(0.843030\pi\)
\(80\) 69412.4 40075.2i 0.135571 0.0782720i
\(81\) 326308. + 565183.i 0.614007 + 1.06349i
\(82\) 1.30603e6i 2.36870i
\(83\) −89773.6 155492.i −0.157005 0.271941i 0.776782 0.629769i \(-0.216851\pi\)
−0.933787 + 0.357828i \(0.883517\pi\)
\(84\) 864454. 1.45849
\(85\) 44954.1i 0.0732003i
\(86\) −624702. 805370.i −0.982149 1.26619i
\(87\) 775176. 1.17718
\(88\) 581831.i 0.853785i
\(89\) −450443. + 260063.i −0.638954 + 0.368900i −0.784212 0.620493i \(-0.786932\pi\)
0.145257 + 0.989394i \(0.453599\pi\)
\(90\) −586491. −0.804515
\(91\) −539121. + 311261.i −0.715421 + 0.413049i
\(92\) −662945. 1.14825e6i −0.851362 1.47460i
\(93\) 501277. + 289413.i 0.623203 + 0.359806i
\(94\) 10598.4i 0.0127602i
\(95\) −601448. + 1.04174e6i −0.701499 + 1.21503i
\(96\) 558398. + 967173.i 0.631146 + 1.09318i
\(97\) 1.59060e6 1.74280 0.871398 0.490577i \(-0.163214\pi\)
0.871398 + 0.490577i \(0.163214\pi\)
\(98\) 469975. 271340.i 0.499340 0.288294i
\(99\) 160102. 277304.i 0.165002 0.285792i
\(100\) −813321. + 1.40871e6i −0.813321 + 1.40871i
\(101\) 127750. 221269.i 0.123993 0.214761i −0.797346 0.603522i \(-0.793763\pi\)
0.921339 + 0.388761i \(0.127097\pi\)
\(102\) 101390. 0.0955421
\(103\) −55531.9 + 96184.0i −0.0508195 + 0.0880220i −0.890316 0.455343i \(-0.849517\pi\)
0.839497 + 0.543365i \(0.182850\pi\)
\(104\) 915246. + 528418.i 0.813651 + 0.469761i
\(105\) 1.33120e6 768567.i 1.14994 0.663917i
\(106\) −2.73693e6 + 1.58017e6i −2.29798 + 1.32674i
\(107\) −1.27758e6 −1.04289 −0.521443 0.853286i \(-0.674606\pi\)
−0.521443 + 0.853286i \(0.674606\pi\)
\(108\) 1.48862e6i 1.18171i
\(109\) −867637. 1.50279e6i −0.669975 1.16043i −0.977911 0.209023i \(-0.932972\pi\)
0.307936 0.951407i \(-0.400362\pi\)
\(110\) −1.42824e6 2.47378e6i −1.07306 1.85859i
\(111\) 1.12014e6 1.94015e6i 0.819040 1.41862i
\(112\) −106764. 61640.3i −0.0759927 0.0438744i
\(113\) 78335.7i 0.0542906i 0.999631 + 0.0271453i \(0.00864167\pi\)
−0.999631 + 0.0271453i \(0.991358\pi\)
\(114\) −2.34955e6 1.35651e6i −1.58588 0.915607i
\(115\) −2.04178e6 1.17882e6i −1.34250 0.775093i
\(116\) 2.14591e6 + 1.23894e6i 1.37479 + 0.793737i
\(117\) 290808. + 503695.i 0.181572 + 0.314492i
\(118\) 3.68396e6i 2.24217i
\(119\) −59881.0 + 34572.3i −0.0355343 + 0.0205158i
\(120\) −2.25993e6 1.30477e6i −1.30783 0.755076i
\(121\) −212025. −0.119683
\(122\) 2.76191e6 4.78377e6i 1.52100 2.63446i
\(123\) −2.76958e6 + 1.59902e6i −1.48833 + 0.859287i
\(124\) 925120. + 1.60235e6i 0.485213 + 0.840414i
\(125\) 104518.i 0.0535131i
\(126\) 451046. + 781234.i 0.225480 + 0.390544i
\(127\) −3.26576e6 −1.59431 −0.797155 0.603774i \(-0.793663\pi\)
−0.797155 + 0.603774i \(0.793663\pi\)
\(128\) 3.20132e6i 1.52651i
\(129\) 943035. 2.31080e6i 0.439297 1.07645i
\(130\) 5.18850e6 2.36163
\(131\) 422176.i 0.187793i 0.995582 + 0.0938965i \(0.0299323\pi\)
−0.995582 + 0.0938965i \(0.970068\pi\)
\(132\) 3.40662e6 1.96681e6i 1.48116 0.855148i
\(133\) 1.85019e6 0.786433
\(134\) 1.52620e6 881153.i 0.634304 0.366216i
\(135\) 1.32350e6 + 2.29237e6i 0.537926 + 0.931715i
\(136\) 101658. + 58692.2i 0.0404133 + 0.0233326i
\(137\) 2.92378e6i 1.13706i −0.822663 0.568529i \(-0.807513\pi\)
0.822663 0.568529i \(-0.192487\pi\)
\(138\) 2.65872e6 4.60504e6i 1.01166 1.75225i
\(139\) −304791. 527913.i −0.113490 0.196571i 0.803685 0.595055i \(-0.202870\pi\)
−0.917175 + 0.398484i \(0.869536\pi\)
\(140\) 4.91351e6 1.79064
\(141\) −22475.2 + 12976.1i −0.00801763 + 0.00462898i
\(142\) −669589. + 1.15976e6i −0.233853 + 0.405046i
\(143\) −1.41637e6 + 2.45322e6i −0.484360 + 0.838936i
\(144\) −57589.9 + 99748.7i −0.0192867 + 0.0334056i
\(145\) 4.40606e6 1.44526
\(146\) −2.12137e6 + 3.67432e6i −0.681644 + 1.18064i
\(147\) 1.15082e6 + 664425.i 0.362288 + 0.209167i
\(148\) 6.20176e6 3.58059e6i 1.91307 1.10451i
\(149\) −2.34530e6 + 1.35406e6i −0.708988 + 0.409334i −0.810686 0.585481i \(-0.800906\pi\)
0.101698 + 0.994815i \(0.467572\pi\)
\(150\) −6.52360e6 −1.93292
\(151\) 4.41037e6i 1.28099i −0.767964 0.640493i \(-0.778730\pi\)
0.767964 0.640493i \(-0.221270\pi\)
\(152\) −1.57050e6 2.72019e6i −0.447207 0.774585i
\(153\) 32300.5 + 55946.2i 0.00901853 + 0.0156205i
\(154\) −2.19680e6 + 3.80497e6i −0.601489 + 1.04181i
\(155\) 2.84924e6 + 1.64501e6i 0.765126 + 0.441746i
\(156\) 7.14503e6i 1.88205i
\(157\) −3.21701e6 1.85734e6i −0.831292 0.479947i 0.0230028 0.999735i \(-0.492677\pi\)
−0.854295 + 0.519789i \(0.826011\pi\)
\(158\) −9.30976e6 5.37499e6i −2.36030 1.36272i
\(159\) −6.70186e6 3.86932e6i −1.66726 0.962595i
\(160\) 3.17390e6 + 5.49736e6i 0.774879 + 1.34213i
\(161\) 3.62632e6i 0.868938i
\(162\) −7.24544e6 + 4.18316e6i −1.70420 + 0.983919i
\(163\) 4.85171e6 + 2.80114e6i 1.12029 + 0.646802i 0.941476 0.337080i \(-0.109439\pi\)
0.178818 + 0.983882i \(0.442773\pi\)
\(164\) −1.02227e7 −2.31757
\(165\) 3.49730e6 6.05750e6i 0.778540 1.34847i
\(166\) 1.99336e6 1.15087e6i 0.435774 0.251594i
\(167\) −2.06323e6 3.57362e6i −0.442995 0.767290i 0.554915 0.831907i \(-0.312751\pi\)
−0.997910 + 0.0646173i \(0.979417\pi\)
\(168\) 4.01378e6i 0.846497i
\(169\) −159284. 275887.i −0.0329998 0.0571573i
\(170\) 576296. 0.117300
\(171\) 1.72862e6i 0.345708i
\(172\) 6.30387e6 4.88973e6i 1.23886 0.960947i
\(173\) 2.10733e6 0.407001 0.203500 0.979075i \(-0.434768\pi\)
0.203500 + 0.979075i \(0.434768\pi\)
\(174\) 9.93748e6i 1.88638i
\(175\) 3.85284e6 2.22444e6i 0.718898 0.415056i
\(176\) −560978. −0.102898
\(177\) −7.81227e6 + 4.51042e6i −1.40883 + 0.813386i
\(178\) −3.33392e6 5.77452e6i −0.591146 1.02390i
\(179\) 2.23434e6 + 1.29000e6i 0.389574 + 0.224921i 0.681976 0.731375i \(-0.261121\pi\)
−0.292401 + 0.956296i \(0.594454\pi\)
\(180\) 4.59064e6i 0.787148i
\(181\) −1.25865e6 + 2.18004e6i −0.212260 + 0.367645i −0.952422 0.304784i \(-0.901416\pi\)
0.740161 + 0.672429i \(0.234749\pi\)
\(182\) −3.99026e6 6.91133e6i −0.661892 1.14643i
\(183\) 1.35261e7 2.20708
\(184\) 5.33150e6 3.07814e6i 0.855846 0.494123i
\(185\) 6.36684e6 1.10277e7i 1.00556 1.74169i
\(186\) −3.71017e6 + 6.42620e6i −0.576573 + 0.998654i
\(187\) −157318. + 272483.i −0.0240577 + 0.0416692i
\(188\) −82957.0 −0.0124847
\(189\) 2.03569e6 3.52593e6i 0.301528 0.522261i
\(190\) −1.33547e7 7.71035e6i −1.94703 1.12412i
\(191\) 529684. 305813.i 0.0760181 0.0438891i −0.461509 0.887135i \(-0.652692\pi\)
0.537527 + 0.843246i \(0.319359\pi\)
\(192\) −1.16172e7 + 6.70722e6i −1.64134 + 0.947630i
\(193\) 1.05603e7 1.46894 0.734472 0.678640i \(-0.237430\pi\)
0.734472 + 0.678640i \(0.237430\pi\)
\(194\) 2.03909e7i 2.79275i
\(195\) 6.35249e6 + 1.10028e7i 0.856722 + 1.48389i
\(196\) 2.12386e6 + 3.67864e6i 0.282071 + 0.488561i
\(197\) −5.91981e6 + 1.02534e7i −0.774299 + 1.34113i 0.160888 + 0.986973i \(0.448564\pi\)
−0.935188 + 0.354153i \(0.884769\pi\)
\(198\) 3.55494e6 + 2.05245e6i 0.457970 + 0.264409i
\(199\) 5.52654e6i 0.701285i 0.936509 + 0.350642i \(0.114037\pi\)
−0.936509 + 0.350642i \(0.885963\pi\)
\(200\) −6.54084e6 3.77635e6i −0.817605 0.472044i
\(201\) 3.73718e6 + 2.15766e6i 0.460210 + 0.265702i
\(202\) 2.83659e6 + 1.63771e6i 0.344146 + 0.198693i
\(203\) −3.38851e6 5.86908e6i −0.405062 0.701587i
\(204\) 793610.i 0.0934796i
\(205\) −1.57422e7 + 9.08874e6i −1.82727 + 1.05497i
\(206\) −1.23304e6 711898.i −0.141051 0.0814360i
\(207\) 3.38803e6 0.381977
\(208\) 509480. 882445.i 0.0566157 0.0980613i
\(209\) 7.29119e6 4.20957e6i 0.798656 0.461104i
\(210\) 9.85276e6 + 1.70655e7i 1.06390 + 1.84273i
\(211\) 1.26231e7i 1.34375i 0.740662 + 0.671877i \(0.234512\pi\)
−0.740662 + 0.671877i \(0.765488\pi\)
\(212\) −1.23684e7 2.14228e7i −1.29810 2.24837i
\(213\) −3.27922e6 −0.339337
\(214\) 1.63781e7i 1.67118i
\(215\) 5.36016e6 1.31345e7i 0.539340 1.32159i
\(216\) −6.91186e6 −0.685857
\(217\) 5.06042e6i 0.495231i
\(218\) 1.92652e7 1.11228e7i 1.85954 1.07360i
\(219\) −1.03891e7 −0.989112
\(220\) 1.93631e7 1.11793e7i 1.81847 1.04989i
\(221\) −285753. 494938.i −0.0264736 0.0458537i
\(222\) 2.48720e7 + 1.43599e7i 2.27327 + 1.31248i
\(223\) 2.48592e6i 0.224167i −0.993699 0.112084i \(-0.964248\pi\)
0.993699 0.112084i \(-0.0357525\pi\)
\(224\) 4.88183e6 8.45558e6i 0.434349 0.752314i
\(225\) −2.07827e6 3.59967e6i −0.182454 0.316020i
\(226\) −1.00424e6 −0.0869982
\(227\) −9.30334e6 + 5.37129e6i −0.795356 + 0.459199i −0.841845 0.539720i \(-0.818530\pi\)
0.0464888 + 0.998919i \(0.485197\pi\)
\(228\) 1.06178e7 1.83906e7i 0.895842 1.55164i
\(229\) −4.93688e6 + 8.55093e6i −0.411099 + 0.712044i −0.995010 0.0997734i \(-0.968188\pi\)
0.583911 + 0.811817i \(0.301522\pi\)
\(230\) 1.51120e7 2.61748e7i 1.24205 2.15130i
\(231\) −1.07585e7 −0.872803
\(232\) −5.75256e6 + 9.96373e6i −0.460678 + 0.797918i
\(233\) −4.36594e6 2.52068e6i −0.345152 0.199273i 0.317396 0.948293i \(-0.397192\pi\)
−0.662548 + 0.749020i \(0.730525\pi\)
\(234\) −6.45718e6 + 3.72806e6i −0.503959 + 0.290961i
\(235\) −127748. + 73755.3i −0.00984351 + 0.00568315i
\(236\) −2.88355e7 −2.19377
\(237\) 2.63233e7i 1.97740i
\(238\) −443205. 767653.i −0.0328756 0.0569422i
\(239\) 1.16405e7 + 2.01619e7i 0.852664 + 1.47686i 0.878795 + 0.477199i \(0.158348\pi\)
−0.0261310 + 0.999659i \(0.508319\pi\)
\(240\) −1.25801e6 + 2.17894e6i −0.0910018 + 0.157620i
\(241\) −4.38536e6 2.53189e6i −0.313295 0.180881i 0.335105 0.942181i \(-0.391228\pi\)
−0.648400 + 0.761300i \(0.724562\pi\)
\(242\) 2.71809e6i 0.191786i
\(243\) −8.37576e6 4.83575e6i −0.583721 0.337011i
\(244\) 3.74440e7 + 2.16183e7i 2.57759 + 1.48817i
\(245\) 6.54119e6 + 3.77656e6i 0.444793 + 0.256802i
\(246\) −2.04988e7 3.55050e7i −1.37697 2.38498i
\(247\) 1.52925e7i 1.01482i
\(248\) −7.43994e6 + 4.29545e6i −0.487769 + 0.281614i
\(249\) 4.88109e6 + 2.81810e6i 0.316169 + 0.182540i
\(250\) −1.33988e6 −0.0857524
\(251\) −7.52918e6 + 1.30409e7i −0.476131 + 0.824683i −0.999626 0.0273458i \(-0.991294\pi\)
0.523495 + 0.852029i \(0.324628\pi\)
\(252\) −6.11496e6 + 3.53047e6i −0.382113 + 0.220613i
\(253\) 8.25063e6 + 1.42905e7i 0.509478 + 0.882443i
\(254\) 4.18659e7i 2.55481i
\(255\) 705581. + 1.22210e6i 0.0425526 + 0.0737033i
\(256\) −1.36906e7 −0.816025
\(257\) 8.42306e6i 0.496216i 0.968732 + 0.248108i \(0.0798088\pi\)
−0.968732 + 0.248108i \(0.920191\pi\)
\(258\) 2.96236e7 + 1.20894e7i 1.72496 + 0.703954i
\(259\) −1.95859e7 −1.12731
\(260\) 4.06120e7i 2.31065i
\(261\) −5.48342e6 + 3.16585e6i −0.308411 + 0.178061i
\(262\) −5.41214e6 −0.300930
\(263\) 6.70832e6 3.87305e6i 0.368762 0.212905i −0.304155 0.952622i \(-0.598374\pi\)
0.672918 + 0.739717i \(0.265041\pi\)
\(264\) 9.13217e6 + 1.58174e7i 0.496321 + 0.859653i
\(265\) −3.80930e7 2.19930e7i −2.04695 1.18181i
\(266\) 2.37188e7i 1.26022i
\(267\) 8.16370e6 1.41399e7i 0.428897 0.742871i
\(268\) 6.89705e6 + 1.19460e7i 0.358310 + 0.620611i
\(269\) −2.74015e7 −1.40773 −0.703863 0.710336i \(-0.748543\pi\)
−0.703863 + 0.710336i \(0.748543\pi\)
\(270\) −2.93873e7 + 1.69668e7i −1.49303 + 0.862002i
\(271\) 1.13081e7 1.95862e7i 0.568176 0.984109i −0.428571 0.903508i \(-0.640983\pi\)
0.996746 0.0806011i \(-0.0256840\pi\)
\(272\) 56588.8 98014.6i 0.00281205 0.00487062i
\(273\) 9.77086e6 1.69236e7i 0.480225 0.831774i
\(274\) 3.74818e7 1.82208
\(275\) 1.01221e7 1.75320e7i 0.486714 0.843013i
\(276\) 3.60451e7 + 2.08106e7i 1.71443 + 0.989824i
\(277\) 2.16077e7 1.24752e7i 1.01664 0.586960i 0.103514 0.994628i \(-0.466991\pi\)
0.913130 + 0.407668i \(0.133658\pi\)
\(278\) 6.76766e6 3.90731e6i 0.314995 0.181863i
\(279\) −4.72790e6 −0.217699
\(280\) 2.28141e7i 1.03927i
\(281\) 7.44081e6 + 1.28879e7i 0.335352 + 0.580847i 0.983552 0.180623i \(-0.0578113\pi\)
−0.648200 + 0.761470i \(0.724478\pi\)
\(282\) −166348. 288124.i −0.00741774 0.0128479i
\(283\) −1.70377e7 + 2.95102e7i −0.751714 + 1.30201i 0.195278 + 0.980748i \(0.437439\pi\)
−0.946992 + 0.321258i \(0.895894\pi\)
\(284\) −9.07781e6 5.24107e6i −0.396302 0.228805i
\(285\) 3.77603e7i 1.63118i
\(286\) −3.14494e7 1.81573e7i −1.34436 0.776165i
\(287\) 2.42132e7 + 1.39795e7i 1.02425 + 0.591353i
\(288\) −7.89995e6 4.56104e6i −0.330710 0.190935i
\(289\) 1.20370e7 + 2.08488e7i 0.498685 + 0.863748i
\(290\) 5.64841e7i 2.31597i
\(291\) −4.32414e7 + 2.49654e7i −1.75477 + 1.01312i
\(292\) −2.87600e7 1.66046e7i −1.15515 0.666929i
\(293\) 4.32143e7 1.71801 0.859003 0.511971i \(-0.171084\pi\)
0.859003 + 0.511971i \(0.171084\pi\)
\(294\) −8.51769e6 + 1.47531e7i −0.335181 + 0.580551i
\(295\) −4.44045e7 + 2.56370e7i −1.72966 + 0.998621i
\(296\) 1.66251e7 + 2.87956e7i 0.641048 + 1.11033i
\(297\) 1.85265e7i 0.707171i
\(298\) −1.73585e7 3.00659e7i −0.655940 1.13612i
\(299\) −2.99729e7 −1.12128
\(300\) 5.10622e7i 1.89119i
\(301\) −2.16180e7 + 2.96117e6i −0.792713 + 0.108584i
\(302\) 5.65394e7 2.05272
\(303\) 8.02043e6i 0.288317i
\(304\) −2.62270e6 + 1.51422e6i −0.0933531 + 0.0538974i
\(305\) 7.68815e7 2.70971
\(306\) −717210. + 414081.i −0.0250312 + 0.0144518i
\(307\) −1.42630e7 2.47043e7i −0.492942 0.853801i 0.507025 0.861932i \(-0.330745\pi\)
−0.999967 + 0.00813035i \(0.997412\pi\)
\(308\) −2.97826e7 1.71950e7i −1.01932 0.588505i
\(309\) 3.48642e6i 0.118169i
\(310\) −2.10884e7 + 3.65262e7i −0.707878 + 1.22608i
\(311\) −2.85337e6 4.94218e6i −0.0948587 0.164300i 0.814691 0.579895i \(-0.196907\pi\)
−0.909550 + 0.415595i \(0.863573\pi\)
\(312\) −3.31753e7 −1.09232
\(313\) −1.48449e7 + 8.57073e6i −0.484112 + 0.279502i −0.722128 0.691759i \(-0.756836\pi\)
0.238017 + 0.971261i \(0.423503\pi\)
\(314\) 2.38105e7 4.12409e7i 0.769093 1.33211i
\(315\) −6.27773e6 + 1.08733e7i −0.200850 + 0.347882i
\(316\) 4.20717e7 7.28703e7i 1.33330 2.30935i
\(317\) −1.01432e7 −0.318418 −0.159209 0.987245i \(-0.550894\pi\)
−0.159209 + 0.987245i \(0.550894\pi\)
\(318\) 4.96033e7 8.59155e7i 1.54252 2.67171i
\(319\) −2.67067e7 1.54191e7i −0.822714 0.474994i
\(320\) −6.60318e7 + 3.81235e7i −2.01513 + 1.16344i
\(321\) 3.47317e7 2.00524e7i 1.05005 0.606248i
\(322\) −4.64881e7 −1.39243
\(323\) 1.69856e6i 0.0504051i
\(324\) −3.27428e7 5.67122e7i −0.962678 1.66741i
\(325\) 1.83858e7 + 3.18451e7i 0.535590 + 0.927669i
\(326\) −3.59096e7 + 6.21972e7i −1.03647 + 1.79522i
\(327\) 4.71744e7 + 2.72361e7i 1.34916 + 0.778937i
\(328\) 4.74651e7i 1.34510i
\(329\) 196491. + 113444.i 0.00551766 + 0.00318562i
\(330\) 7.76550e7 + 4.48341e7i 2.16087 + 1.24758i
\(331\) −1.89354e7 1.09323e7i −0.522143 0.301459i 0.215668 0.976467i \(-0.430807\pi\)
−0.737811 + 0.675007i \(0.764140\pi\)
\(332\) 9.00817e6 + 1.56026e7i 0.246163 + 0.426366i
\(333\) 1.82989e7i 0.495555i
\(334\) 4.58126e7 2.64499e7i 1.22955 0.709879i
\(335\) 2.12419e7 + 1.22640e7i 0.565015 + 0.326211i
\(336\) 3.86993e6 0.102020
\(337\) −7.71788e6 + 1.33678e7i −0.201655 + 0.349276i −0.949062 0.315090i \(-0.897965\pi\)
0.747407 + 0.664366i \(0.231299\pi\)
\(338\) 3.53678e6 2.04196e6i 0.0915920 0.0528807i
\(339\) −1.22952e6 2.12960e6i −0.0315601 0.0546637i
\(340\) 4.51084e6i 0.114768i
\(341\) −1.15135e7 1.99420e7i −0.290365 0.502927i
\(342\) 2.21602e7 0.553982
\(343\) 4.39051e7i 1.08801i
\(344\) 2.27036e7 + 2.92697e7i 0.557725 + 0.719023i
\(345\) 7.40091e7 1.80230
\(346\) 2.70153e7i 0.652200i
\(347\) −5.77909e7 + 3.33656e7i −1.38316 + 0.798566i −0.992532 0.121984i \(-0.961074\pi\)
−0.390625 + 0.920550i \(0.627741\pi\)
\(348\) −7.77836e7 −1.84565
\(349\) −536016. + 309469.i −0.0126096 + 0.00728016i −0.506292 0.862362i \(-0.668984\pi\)
0.493682 + 0.869643i \(0.335651\pi\)
\(350\) 2.85165e7 + 4.93920e7i 0.665108 + 1.15200i
\(351\) 2.91431e7 + 1.68257e7i 0.673928 + 0.389093i
\(352\) 4.44287e7i 1.01867i
\(353\) 2.56412e7 4.44118e7i 0.582927 1.00966i −0.412204 0.911092i \(-0.635241\pi\)
0.995130 0.0985670i \(-0.0314259\pi\)
\(354\) −5.78219e7 1.00150e8i −1.30341 2.25758i
\(355\) −1.86389e7 −0.416615
\(356\) 4.51989e7 2.60956e7i 1.00179 0.578385i
\(357\) 1.08527e6 1.87973e6i 0.0238524 0.0413135i
\(358\) −1.65373e7 + 2.86434e7i −0.360425 + 0.624275i
\(359\) −1.57501e7 + 2.72801e7i −0.340409 + 0.589606i −0.984509 0.175336i \(-0.943899\pi\)
0.644099 + 0.764942i \(0.277232\pi\)
\(360\) 2.13150e7 0.456854
\(361\) −797593. + 1.38147e6i −0.0169535 + 0.0293644i
\(362\) −2.79474e7 1.61354e7i −0.589135 0.340137i
\(363\) 5.76402e6 3.32786e6i 0.120505 0.0695737i
\(364\) 5.40971e7 3.12330e7i 1.12168 0.647603i
\(365\) −5.90511e7 −1.21437
\(366\) 1.73399e8i 3.53675i
\(367\) −1.54846e7 2.68201e7i −0.313257 0.542577i 0.665808 0.746123i \(-0.268087\pi\)
−0.979065 + 0.203546i \(0.934753\pi\)
\(368\) −2.96782e6 5.14042e6i −0.0595518 0.103147i
\(369\) 1.30609e7 2.26222e7i 0.259953 0.450252i
\(370\) 1.41371e8 + 8.16207e7i 2.79097 + 1.61137i
\(371\) 6.76556e7i 1.32490i
\(372\) −5.02998e7 2.90406e7i −0.977096 0.564127i
\(373\) 3.85960e7 + 2.22834e7i 0.743731 + 0.429393i 0.823424 0.567426i \(-0.192061\pi\)
−0.0796934 + 0.996819i \(0.525394\pi\)
\(374\) −3.49314e6 2.01676e6i −0.0667730 0.0385514i
\(375\) −1.64047e6 2.84137e6i −0.0311081 0.0538809i
\(376\) 385180.i 0.00724604i
\(377\) 4.85101e7 2.80073e7i 0.905332 0.522694i
\(378\) 4.52011e7 + 2.60969e7i 0.836900 + 0.483184i
\(379\) 6.36338e7 1.16888 0.584441 0.811436i \(-0.301314\pi\)
0.584441 + 0.811436i \(0.301314\pi\)
\(380\) 6.03512e7 1.04531e8i 1.09985 1.90500i
\(381\) 8.87815e7 5.12580e7i 1.60527 0.926802i
\(382\) 3.92042e6 + 6.79036e6i 0.0703303 + 0.121816i
\(383\) 5.19796e7i 0.925202i 0.886567 + 0.462601i \(0.153084\pi\)
−0.886567 + 0.462601i \(0.846916\pi\)
\(384\) −5.02467e7 8.70298e7i −0.887388 1.53700i
\(385\) −6.11508e7 −1.07157
\(386\) 1.35379e8i 2.35392i
\(387\) 2.76659e6 + 2.01975e7i 0.0477323 + 0.348469i
\(388\) −1.59606e8 −2.73246
\(389\) 3.06400e7i 0.520523i −0.965538 0.260261i \(-0.916191\pi\)
0.965538 0.260261i \(-0.0838087\pi\)
\(390\) −1.41052e8 + 8.14366e7i −2.37786 + 1.37286i
\(391\) −3.32914e6 −0.0556931
\(392\) −1.70804e7 + 9.86137e6i −0.283556 + 0.163711i
\(393\) −6.62629e6 1.14771e7i −0.109167 0.189084i
\(394\) −1.31445e8 7.58898e7i −2.14909 1.24078i
\(395\) 1.49620e8i 2.42772i
\(396\) −1.60651e7 + 2.78256e7i −0.258701 + 0.448083i
\(397\) 2.07871e7 + 3.60044e7i 0.332218 + 0.575418i 0.982946 0.183892i \(-0.0588697\pi\)
−0.650729 + 0.759310i \(0.725536\pi\)
\(398\) −7.08483e7 −1.12378
\(399\) −5.02985e7 + 2.90399e7i −0.791838 + 0.457168i
\(400\) −3.64101e6 + 6.30642e6i −0.0568908 + 0.0985378i
\(401\) 3.56807e7 6.18008e7i 0.553351 0.958432i −0.444679 0.895690i \(-0.646682\pi\)
0.998030 0.0627417i \(-0.0199844\pi\)
\(402\) −2.76604e7 + 4.79093e7i −0.425776 + 0.737465i
\(403\) 4.18262e7 0.639048
\(404\) −1.28188e7 + 2.22028e7i −0.194403 + 0.336716i
\(405\) −1.00843e8 5.82219e7i −1.51803 0.876438i
\(406\) 7.52395e7 4.34395e7i 1.12426 0.649093i
\(407\) −7.71836e7 + 4.45620e7i −1.14483 + 0.660969i
\(408\) −3.68484e6 −0.0542547
\(409\) 5.23395e7i 0.764996i 0.923956 + 0.382498i \(0.124936\pi\)
−0.923956 + 0.382498i \(0.875064\pi\)
\(410\) −1.16514e8 2.01809e8i −1.69055 2.92812i
\(411\) 4.58904e7 + 7.94845e7i 0.660992 + 1.14487i
\(412\) 5.57224e6 9.65141e6i 0.0796780 0.138006i
\(413\) 6.82993e7 + 3.94326e7i 0.969541 + 0.559765i
\(414\) 4.34334e7i 0.612100i
\(415\) 2.77439e7 + 1.60179e7i 0.388171 + 0.224110i
\(416\) 6.98884e7 + 4.03501e7i 0.970790 + 0.560486i
\(417\) 1.65718e7 + 9.56775e6i 0.228540 + 0.131948i
\(418\) 5.39652e7 + 9.34705e7i 0.738899 + 1.27981i
\(419\) 1.62920e6i 0.0221479i −0.999939 0.0110739i \(-0.996475\pi\)
0.999939 0.0110739i \(-0.00352502\pi\)
\(420\) −1.33577e8 + 7.71205e7i −1.80295 + 1.04093i
\(421\) −6.38306e7 3.68526e7i −0.855427 0.493881i 0.00705150 0.999975i \(-0.497755\pi\)
−0.862478 + 0.506094i \(0.831089\pi\)
\(422\) −1.61824e8 −2.15331
\(423\) 105990. 183579.i 0.00140037 0.00242551i
\(424\) 9.94688e7 5.74283e7i 1.30494 0.753405i
\(425\) 2.04214e6 + 3.53709e6i 0.0266023 + 0.0460765i
\(426\) 4.20384e7i 0.543772i
\(427\) −5.91263e7 1.02410e8i −0.759447 1.31540i
\(428\) 1.28196e8 1.63510
\(429\) 8.89229e7i 1.12627i
\(430\) 1.68379e8 + 6.87154e7i 2.11779 + 0.864268i
\(431\) 3.06752e7 0.383138 0.191569 0.981479i \(-0.438642\pi\)
0.191569 + 0.981479i \(0.438642\pi\)
\(432\) 6.66414e6i 0.0826595i
\(433\) −1.29255e8 + 7.46253e7i −1.59215 + 0.919226i −0.599209 + 0.800593i \(0.704518\pi\)
−0.992938 + 0.118633i \(0.962149\pi\)
\(434\) 6.48728e7 0.793585
\(435\) −1.19781e8 + 6.91557e7i −1.45519 + 0.840157i
\(436\) 8.70614e7 + 1.50795e8i 1.05043 + 1.81939i
\(437\) 7.71473e7 + 4.45410e7i 0.924435 + 0.533723i
\(438\) 1.33184e8i 1.58501i
\(439\) 7.59919e7 1.31622e8i 0.898201 1.55573i 0.0684096 0.997657i \(-0.478208\pi\)
0.829792 0.558073i \(-0.188459\pi\)
\(440\) 5.19068e7 + 8.99052e7i 0.609349 + 1.05542i
\(441\) −1.08542e7 −0.126555
\(442\) 6.34493e6 3.66325e6i 0.0734784 0.0424228i
\(443\) −5.03329e7 + 8.71792e7i −0.578950 + 1.00277i 0.416650 + 0.909067i \(0.363204\pi\)
−0.995600 + 0.0937040i \(0.970129\pi\)
\(444\) −1.12399e8 + 1.94681e8i −1.28414 + 2.22420i
\(445\) 4.64020e7 8.03707e7i 0.526571 0.912048i
\(446\) 3.18686e7 0.359218
\(447\) 4.25055e7 7.36216e7i 0.475907 0.824295i
\(448\) 1.01565e8 + 5.86383e7i 1.12956 + 0.652150i
\(449\) −2.20118e7 + 1.27085e7i −0.243174 + 0.140396i −0.616635 0.787249i \(-0.711504\pi\)
0.373461 + 0.927646i \(0.378171\pi\)
\(450\) 4.61465e7 2.66427e7i 0.506408 0.292375i
\(451\) 1.27225e8 1.38690
\(452\) 7.86045e6i 0.0851201i
\(453\) 6.92234e7 + 1.19898e8i 0.744660 + 1.28979i
\(454\) −6.88580e7 1.19266e8i −0.735846 1.27452i
\(455\) 5.55371e7 9.61930e7i 0.589588 1.02120i
\(456\) 8.53901e7 + 4.93000e7i 0.900560 + 0.519939i
\(457\) 5.36683e7i 0.562302i −0.959664 0.281151i \(-0.909284\pi\)
0.959664 0.281151i \(-0.0907162\pi\)
\(458\) −1.09620e8 6.32890e7i −1.14102 0.658767i
\(459\) 3.23697e6 + 1.86886e6i 0.0334734 + 0.0193259i
\(460\) 2.04878e8 + 1.18287e8i 2.10486 + 1.21524i
\(461\) −4.61402e6 7.99171e6i −0.0470952 0.0815712i 0.841517 0.540231i \(-0.181663\pi\)
−0.888612 + 0.458660i \(0.848330\pi\)
\(462\) 1.37920e8i 1.39863i
\(463\) −1.55014e8 + 8.94973e7i −1.56181 + 0.901710i −0.564734 + 0.825273i \(0.691021\pi\)
−0.997074 + 0.0764371i \(0.975646\pi\)
\(464\) 9.60664e6 + 5.54640e6i 0.0961652 + 0.0555210i
\(465\) −1.03277e8 −1.02718
\(466\) 3.23142e7 5.59698e7i 0.319327 0.553090i
\(467\) 8.89394e7 5.13492e7i 0.873260 0.504177i 0.00482972 0.999988i \(-0.498463\pi\)
0.868430 + 0.495812i \(0.165129\pi\)
\(468\) −2.91806e7 5.05423e7i −0.284680 0.493080i
\(469\) 3.77270e7i 0.365707i
\(470\) −945516. 1.63768e6i −0.00910700 0.0157738i
\(471\) 1.16608e8 1.11601
\(472\) 1.33887e8i 1.27324i
\(473\) −7.84544e7 + 6.08548e7i −0.741368 + 0.575057i
\(474\) 3.37455e8 3.16869
\(475\) 1.09288e8i 1.01975i
\(476\) 6.00865e6 3.46910e6i 0.0557129 0.0321659i
\(477\) 6.32099e7 0.582412
\(478\) −2.58469e8 + 1.49227e8i −2.36660 + 1.36636i
\(479\) −3.61921e6 6.26866e6i −0.0329312 0.0570385i 0.849090 0.528248i \(-0.177151\pi\)
−0.882021 + 0.471210i \(0.843818\pi\)
\(480\) −1.72569e8 9.96325e7i −1.56041 0.900902i
\(481\) 1.61884e8i 1.45469i
\(482\) 3.24579e7 5.62187e7i 0.289854 0.502042i
\(483\) −5.69173e7 9.85836e7i −0.505129 0.874910i
\(484\) 2.12753e7 0.187646
\(485\) −2.45782e8 + 1.41902e8i −2.15439 + 1.24384i
\(486\) 6.19925e7 1.07374e8i 0.540046 0.935387i
\(487\) 4.75316e7 8.23272e7i 0.411525 0.712781i −0.583532 0.812090i \(-0.698330\pi\)
0.995057 + 0.0993086i \(0.0316631\pi\)
\(488\) −1.00377e8 + 1.73858e8i −0.863721 + 1.49601i
\(489\) −1.75862e8 −1.50399
\(490\) −4.84141e7 + 8.38557e7i −0.411513 + 0.712761i
\(491\) 2.88084e7 + 1.66325e7i 0.243374 + 0.140512i 0.616727 0.787177i \(-0.288458\pi\)
−0.373352 + 0.927690i \(0.621792\pi\)
\(492\) 2.77909e8 1.60451e8i 2.33349 1.34724i
\(493\) 5.38809e6 3.11082e6i 0.0449670 0.0259617i
\(494\) −1.96045e8 −1.62620
\(495\) 5.71325e7i 0.471051i
\(496\) 4.14151e6 + 7.17330e6i 0.0339401 + 0.0587860i
\(497\) 1.43344e7 + 2.48279e7i 0.116764 + 0.202242i
\(498\) −3.61270e7 + 6.25738e7i −0.292512 + 0.506646i
\(499\) 2.87932e7 + 1.66238e7i 0.231733 + 0.133791i 0.611372 0.791344i \(-0.290618\pi\)
−0.379638 + 0.925135i \(0.623951\pi\)
\(500\) 1.04877e7i 0.0839012i
\(501\) 1.12180e8 + 6.47673e7i 0.892079 + 0.515042i
\(502\) −1.67180e8 9.65213e7i −1.32152 0.762978i
\(503\) 1.25027e8 + 7.21844e7i 0.982427 + 0.567204i 0.903002 0.429637i \(-0.141358\pi\)
0.0794247 + 0.996841i \(0.474692\pi\)
\(504\) −1.63924e7 2.83925e7i −0.128042 0.221775i
\(505\) 4.55877e7i 0.353976i
\(506\) −1.83199e8 + 1.05770e8i −1.41407 + 0.816416i
\(507\) 8.66043e6 + 5.00010e6i 0.0664532 + 0.0383668i
\(508\) 3.27697e8 2.49966
\(509\) 1.33310e7 2.30899e7i 0.101090 0.175093i −0.811044 0.584985i \(-0.801100\pi\)
0.912134 + 0.409892i \(0.134434\pi\)
\(510\) −1.56669e7 + 9.04530e6i −0.118106 + 0.0681887i
\(511\) 4.54137e7 + 7.86588e7i 0.340349 + 0.589501i
\(512\) 2.93759e7i 0.218868i
\(513\) −5.00076e7 8.66157e7i −0.370411 0.641571i
\(514\) −1.07981e8 −0.795164
\(515\) 1.98166e7i 0.145080i
\(516\) −9.46271e7 + 2.31873e8i −0.688758 + 1.68772i
\(517\) 1.03244e6 0.00747122
\(518\) 2.51084e8i 1.80647i
\(519\) −5.72890e7 + 3.30758e7i −0.409798 + 0.236597i
\(520\) −1.88567e8 −1.34108
\(521\) −1.12740e8 + 6.50907e7i −0.797198 + 0.460262i −0.842490 0.538711i \(-0.818911\pi\)
0.0452925 + 0.998974i \(0.485578\pi\)
\(522\) −4.05851e7 7.02954e7i −0.285335 0.494215i
\(523\) 2.16635e7 + 1.25074e7i 0.151434 + 0.0874306i 0.573802 0.818994i \(-0.305468\pi\)
−0.422368 + 0.906424i \(0.638801\pi\)
\(524\) 4.23624e7i 0.294433i
\(525\) −6.98278e7 + 1.20945e8i −0.482559 + 0.835816i
\(526\) 4.96511e7 + 8.59983e7i 0.341171 + 0.590925i
\(527\) 4.64571e6 0.0317409
\(528\) 1.52505e7 8.80489e6i 0.103605 0.0598166i
\(529\) −1.32811e7 + 2.30035e7i −0.0897153 + 0.155391i
\(530\) 2.81943e8 4.88339e8i 1.89380 3.28015i
\(531\) 3.68415e7 6.38113e7i 0.246067 0.426201i
\(532\) −1.85654e8 −1.23302
\(533\) −1.15546e8 + 2.00131e8i −0.763085 + 1.32170i
\(534\) 1.81269e8 + 1.04656e8i 1.19042 + 0.687288i
\(535\) 1.97413e8 1.13977e8i 1.28918 0.744311i
\(536\) −5.54671e7 + 3.20239e7i −0.360198 + 0.207960i
\(537\) −8.09890e7 −0.523002
\(538\) 3.51278e8i 2.25582i
\(539\) −2.64324e7 4.57822e7i −0.168799 0.292368i
\(540\) −1.32804e8 2.30023e8i −0.843393 1.46080i
\(541\) −1.70474e7 + 2.95269e7i −0.107663 + 0.186477i −0.914823 0.403855i \(-0.867670\pi\)
0.807160 + 0.590332i \(0.201003\pi\)
\(542\) 2.51089e8 + 1.44966e8i 1.57699 + 0.910476i
\(543\) 7.90209e7i 0.493563i
\(544\) 7.76262e6 + 4.48175e6i 0.0482183 + 0.0278388i
\(545\) 2.68137e8 + 1.54809e8i 1.65641 + 0.956326i
\(546\) 2.16955e8 + 1.25259e8i 1.33288 + 0.769539i
\(547\) −4.41213e7 7.64204e7i −0.269579 0.466925i 0.699174 0.714952i \(-0.253551\pi\)
−0.968753 + 0.248027i \(0.920218\pi\)
\(548\) 2.93381e8i 1.78275i
\(549\) −9.56804e7 + 5.52411e7i −0.578237 + 0.333845i
\(550\) 2.24754e8 + 1.29762e8i 1.35089 + 0.779937i
\(551\) −1.66480e8 −0.995195
\(552\) −9.66265e7 + 1.67362e8i −0.574485 + 0.995038i
\(553\) −1.99301e8 + 1.15066e8i −1.17851 + 0.680414i
\(554\) 1.59928e8 + 2.77003e8i 0.940576 + 1.62913i
\(555\) 3.99725e8i 2.33821i
\(556\) 3.05837e7 + 5.29725e7i 0.177937 + 0.308195i
\(557\) 3.16403e8 1.83094 0.915472 0.402382i \(-0.131818\pi\)
0.915472 + 0.402382i \(0.131818\pi\)
\(558\) 6.06099e7i 0.348852i
\(559\) −2.44752e7 1.78681e8i −0.140117 1.02292i
\(560\) 2.19965e7 0.125253
\(561\) 9.87682e6i 0.0559408i
\(562\) −1.65218e8 + 9.53885e7i −0.930782 + 0.537387i
\(563\) −1.46146e8 −0.818958 −0.409479 0.912320i \(-0.634290\pi\)
−0.409479 + 0.912320i \(0.634290\pi\)
\(564\) 2.25523e6 1.30206e6i 0.0125705 0.00725761i
\(565\) −6.98856e6 1.21045e7i −0.0387474 0.0671124i
\(566\) −3.78310e8 2.18418e8i −2.08641 1.20459i
\(567\) 1.79104e8i 0.982553i
\(568\) 2.43350e7 4.21495e7i 0.132796 0.230010i
\(569\) 1.04276e8 + 1.80612e8i 0.566042 + 0.980414i 0.996952 + 0.0780186i \(0.0248593\pi\)
−0.430910 + 0.902395i \(0.641807\pi\)
\(570\) 4.84074e8 2.61389
\(571\) −1.80519e8 + 1.04223e8i −0.969651 + 0.559828i −0.899130 0.437682i \(-0.855800\pi\)
−0.0705212 + 0.997510i \(0.522466\pi\)
\(572\) 1.42123e8 2.46164e8i 0.759410 1.31534i
\(573\) −9.59984e6 + 1.66274e7i −0.0510270 + 0.0883814i
\(574\) −1.79213e8 + 3.10405e8i −0.947617 + 1.64132i
\(575\) 2.14202e8 1.12673
\(576\) 5.47852e7 9.48907e7i 0.286679 0.496542i
\(577\) 2.46994e8 + 1.42602e8i 1.28576 + 0.742333i 0.977895 0.209098i \(-0.0670528\pi\)
0.307863 + 0.951431i \(0.400386\pi\)
\(578\) −2.67274e8 + 1.54311e8i −1.38412 + 0.799120i
\(579\) −2.87088e8 + 1.65750e8i −1.47904 + 0.853923i
\(580\) −4.42118e8 −2.26597
\(581\) 4.92749e7i 0.251245i
\(582\) −3.20048e8 5.54339e8i −1.62348 2.81194i
\(583\) 1.53931e8 + 2.66616e8i 0.776818 + 1.34549i
\(584\) 7.70973e7 1.33536e8i 0.387080 0.670442i
\(585\) −8.98721e7 5.18877e7i −0.448908 0.259177i
\(586\) 5.53992e8i 2.75303i
\(587\) −2.08701e6 1.20493e6i −0.0103183 0.00595729i 0.494832 0.868989i \(-0.335230\pi\)
−0.505150 + 0.863031i \(0.668563\pi\)
\(588\) −1.15477e8 6.66705e7i −0.568018 0.327946i
\(589\) −1.07657e8 6.21556e7i −0.526860 0.304183i
\(590\) −3.28657e8 5.69250e8i −1.60025 2.77171i
\(591\) 3.71659e8i 1.80046i
\(592\) 2.77636e7 1.60293e7i 0.133817 0.0772591i
\(593\) −2.55275e8 1.47383e8i −1.22418 0.706778i −0.258370 0.966046i \(-0.583185\pi\)
−0.965805 + 0.259268i \(0.916519\pi\)
\(594\) 2.37503e8 1.13321
\(595\) 6.16859e6 1.06843e7i 0.0292843 0.0507219i
\(596\) 2.35334e8 1.35870e8i 1.11160 0.641780i
\(597\) −8.67423e7 1.50242e8i −0.407669 0.706104i
\(598\) 3.84241e8i 1.79680i
\(599\) 4.03059e7 + 6.98119e7i 0.187537 + 0.324824i 0.944429 0.328716i \(-0.106616\pi\)
−0.756891 + 0.653541i \(0.773283\pi\)
\(600\) 2.37088e8 1.09763
\(601\) 2.64593e7i 0.121886i 0.998141 + 0.0609431i \(0.0194108\pi\)
−0.998141 + 0.0609431i \(0.980589\pi\)
\(602\) −3.79612e7 2.77135e8i −0.174000 1.27029i
\(603\) −3.52479e7 −0.160761
\(604\) 4.42551e8i 2.00841i
\(605\) 3.27624e7 1.89154e7i 0.147948 0.0854179i
\(606\) −1.02819e8 −0.462014
\(607\) 2.95865e8 1.70818e8i 1.32290 0.763777i 0.338710 0.940891i \(-0.390009\pi\)
0.984190 + 0.177114i \(0.0566761\pi\)
\(608\) −1.19924e8 2.07714e8i −0.533575 0.924179i
\(609\) 1.84237e8 + 1.06369e8i 0.815691 + 0.470939i
\(610\) 9.85593e8i 4.34218i
\(611\) −937657. + 1.62407e6i −0.00411074 + 0.00712001i
\(612\) −3.24114e6 5.61382e6i −0.0141398 0.0244909i
\(613\) −4.27790e8 −1.85716 −0.928580 0.371132i \(-0.878970\pi\)
−0.928580 + 0.371132i \(0.878970\pi\)
\(614\) 3.16700e8 1.82847e8i 1.36818 0.789918i
\(615\) 2.85306e8 4.94165e8i 1.22655 2.12445i
\(616\) 7.98386e7 1.38285e8i 0.341563 0.591605i
\(617\) 1.89799e8 3.28742e8i 0.808052 1.39959i −0.106159 0.994349i \(-0.533855\pi\)
0.914211 0.405238i \(-0.132811\pi\)
\(618\) 4.46947e7 0.189361
\(619\) −8.91897e6 + 1.54481e7i −0.0376048 + 0.0651334i −0.884215 0.467080i \(-0.845306\pi\)
0.846610 + 0.532213i \(0.178639\pi\)
\(620\) −2.85901e8 1.65065e8i −1.19961 0.692597i
\(621\) 1.69764e8 9.80134e7i 0.708878 0.409271i
\(622\) 6.33570e7 3.65792e7i 0.263283 0.152007i
\(623\) −1.42743e8 −0.590326
\(624\) 3.19863e7i 0.131647i
\(625\) 1.17322e8 + 2.03208e8i 0.480552 + 0.832341i
\(626\) −1.09874e8 1.90307e8i −0.447890 0.775767i
\(627\) −1.32143e8 + 2.28879e8i −0.536096 + 0.928546i
\(628\) 3.22805e8 + 1.86372e8i 1.30335 + 0.752490i
\(629\) 1.79808e7i 0.0722531i
\(630\) −1.39392e8 8.04782e7i −0.557465 0.321852i
\(631\) −2.77570e8 1.60255e8i −1.10480 0.637858i −0.167324 0.985902i \(-0.553512\pi\)
−0.937478 + 0.348045i \(0.886846\pi\)
\(632\) 3.38346e8 + 1.95344e8i 1.34033 + 0.773837i
\(633\) −1.98128e8 3.43167e8i −0.781149 1.35299i
\(634\) 1.30032e8i 0.510251i
\(635\) 5.04629e8 2.91348e8i 1.97084 1.13786i
\(636\) 6.72486e8 + 3.88260e8i 2.61404 + 1.50922i
\(637\) 9.60233e7 0.371500
\(638\) 1.97668e8 3.42371e8i 0.761157 1.31836i
\(639\) 2.31964e7 1.33925e7i 0.0889035 0.0513284i
\(640\) −2.85600e8 4.94673e8i −1.08948 1.88703i
\(641\) 1.32790e8i 0.504186i 0.967703 + 0.252093i \(0.0811189\pi\)
−0.967703 + 0.252093i \(0.918881\pi\)
\(642\) 2.57064e8 + 4.45248e8i 0.971485 + 1.68266i
\(643\) 1.50916e6 0.00567679 0.00283839 0.999996i \(-0.499097\pi\)
0.00283839 + 0.999996i \(0.499097\pi\)
\(644\) 3.63877e8i 1.36237i
\(645\) 6.04342e7 + 4.41199e8i 0.225218 + 1.64420i
\(646\) −2.17750e7 −0.0807719
\(647\) 2.81487e8i 1.03931i 0.854376 + 0.519655i \(0.173940\pi\)
−0.854376 + 0.519655i \(0.826060\pi\)
\(648\) 2.63322e8 1.52029e8i 0.967749 0.558730i
\(649\) 3.58870e8 1.31281
\(650\) −4.08243e8 + 2.35699e8i −1.48655 + 0.858259i
\(651\) 7.94263e7 + 1.37570e8i 0.287886 + 0.498634i
\(652\) −4.86836e8 2.81075e8i −1.75647 1.01410i
\(653\) 4.14602e8i 1.48899i −0.667628 0.744495i \(-0.732690\pi\)
0.667628 0.744495i \(-0.267310\pi\)
\(654\) −3.49158e8 + 6.04759e8i −1.24821 + 2.16197i
\(655\) −3.76635e7 6.52351e7i −0.134028 0.232144i
\(656\) −4.57640e7 −0.162111
\(657\) 7.34901e7 4.24295e7i 0.259139 0.149614i
\(658\) −1.45431e6 + 2.51894e6i −0.00510482 + 0.00884180i
\(659\) −3.48578e7 + 6.03755e7i −0.121799 + 0.210962i −0.920477 0.390796i \(-0.872200\pi\)
0.798678 + 0.601759i \(0.205533\pi\)
\(660\) −3.50930e8 + 6.07829e8i −1.22064 + 2.11422i
\(661\) −1.63295e8 −0.565416 −0.282708 0.959206i \(-0.591233\pi\)
−0.282708 + 0.959206i \(0.591233\pi\)
\(662\) 1.40149e8 2.42744e8i 0.483075 0.836711i
\(663\) 1.55367e7 + 8.97011e6i 0.0533111 + 0.0307792i
\(664\) −7.24450e7 + 4.18261e7i −0.247459 + 0.142871i
\(665\) −2.85894e8 + 1.65061e8i −0.972166 + 0.561280i
\(666\) −2.34585e8 −0.794105
\(667\) 3.26296e8i 1.09960i
\(668\) 2.07031e8 + 3.58589e8i 0.694555 + 1.20300i
\(669\) 3.90180e7 + 6.75811e7i 0.130313 + 0.225708i
\(670\) −1.57221e8 + 2.72314e8i −0.522739 + 0.905410i
\(671\) −4.66007e8 2.69049e8i −1.54250 0.890562i
\(672\) 3.06493e8i 1.00998i
\(673\) −5.72770e7 3.30689e7i −0.187904 0.108486i 0.403097 0.915157i \(-0.367934\pi\)
−0.591001 + 0.806671i \(0.701267\pi\)
\(674\) −1.71370e8 9.89404e7i −0.559699 0.323142i
\(675\) −2.08272e8 1.20246e8i −0.677203 0.390983i
\(676\) 1.59830e7 + 2.76834e7i 0.0517391 + 0.0896148i
\(677\) 2.64211e8i 0.851500i 0.904841 + 0.425750i \(0.139990\pi\)
−0.904841 + 0.425750i \(0.860010\pi\)
\(678\) 2.73007e7 1.57621e7i 0.0875961 0.0505736i
\(679\) 3.78041e8 + 2.18262e8i 1.20762 + 0.697219i
\(680\) −2.09444e7 −0.0666103
\(681\) 1.68611e8 2.92043e8i 0.533881 0.924710i
\(682\) 2.55649e8 1.47599e8i 0.805918 0.465297i
\(683\) 1.42292e8 + 2.46458e8i 0.446601 + 0.773535i 0.998162 0.0605991i \(-0.0193011\pi\)
−0.551561 + 0.834134i \(0.685968\pi\)
\(684\) 1.73455e8i 0.542023i
\(685\) 2.60839e8 + 4.51786e8i 0.811522 + 1.40560i
\(686\) 5.62848e8 1.74349
\(687\) 3.09949e8i 0.955917i
\(688\) 2.82207e7 2.18900e7i 0.0866568 0.0672171i
\(689\) −5.59198e8 −1.70965
\(690\) 9.48770e8i 2.88811i
\(691\) 4.57650e8 2.64224e8i 1.38707 0.800827i 0.394088 0.919073i \(-0.371060\pi\)
0.992984 + 0.118246i \(0.0377271\pi\)
\(692\) −2.11457e8 −0.638121
\(693\) 7.61032e7 4.39382e7i 0.228667 0.132021i
\(694\) −4.27735e8 7.40859e8i −1.27967 2.21645i
\(695\) 9.41934e7 + 5.43826e7i 0.280586 + 0.161996i
\(696\) 3.61160e8i 1.07120i
\(697\) −1.28339e7 + 2.22289e7i −0.0379017 + 0.0656477i
\(698\) −3.96728e6 6.87153e6i −0.0116661 0.0202063i
\(699\) 1.58254e8 0.463365
\(700\) −3.86606e8 + 2.23207e8i −1.12713 + 0.650750i
\(701\) −1.70383e8 + 2.95111e8i −0.494620 + 0.856706i −0.999981 0.00620169i \(-0.998026\pi\)
0.505361 + 0.862908i \(0.331359\pi\)
\(702\) −2.15700e8 + 3.73603e8i −0.623504 + 1.07994i
\(703\) −2.40567e8 + 4.16675e8i −0.692422 + 1.19931i
\(704\) 5.33657e8 1.52948
\(705\) 2.31526e6 4.01016e6i 0.00660744 0.0114444i
\(706\) 5.69344e8 + 3.28711e8i 1.61793 + 0.934114i
\(707\) 6.07249e7 3.50596e7i 0.171834 0.0992084i
\(708\) 7.83908e8 4.52589e8i 2.20885 1.27528i
\(709\) −2.28094e8 −0.639993 −0.319996 0.947419i \(-0.603682\pi\)
−0.319996 + 0.947419i \(0.603682\pi\)
\(710\) 2.38944e8i 0.667607i
\(711\) 1.07505e8 + 1.86205e8i 0.299103 + 0.518062i
\(712\) 1.21165e8 + 2.09864e8i 0.335690 + 0.581432i
\(713\) 1.21823e8 2.11004e8i 0.336094 0.582132i
\(714\) 2.40975e7 + 1.39127e7i 0.0662030 + 0.0382223i
\(715\) 5.05433e8i 1.38276i
\(716\) −2.24201e8 1.29442e8i −0.610799 0.352645i
\(717\) −6.32907e8 3.65409e8i −1.71705 0.991338i
\(718\) −3.49721e8 2.01911e8i −0.944817 0.545490i
\(719\) 1.43750e7 + 2.48982e7i 0.0386741 + 0.0669855i 0.884715 0.466133i \(-0.154353\pi\)
−0.846040 + 0.533119i \(0.821020\pi\)
\(720\) 2.05511e7i 0.0550601i
\(721\) −2.63967e7 + 1.52401e7i −0.0704277 + 0.0406615i
\(722\) −1.77100e7 1.02249e7i −0.0470551 0.0271672i
\(723\) 1.58958e8 0.420598
\(724\) 1.26297e8 2.18752e8i 0.332795 0.576418i
\(725\) −3.46679e8 + 2.00155e8i −0.909731 + 0.525234i
\(726\) 4.26620e7 + 7.38927e7i 0.111489 + 0.193104i
\(727\) 6.00857e8i 1.56375i −0.623434 0.781876i \(-0.714263\pi\)
0.623434 0.781876i \(-0.285737\pi\)
\(728\) 1.45019e8 + 2.51180e8i 0.375863 + 0.651014i
\(729\) −1.72158e8 −0.444371
\(730\) 7.57014e8i 1.94597i
\(731\) −2.71850e6 1.98463e7i −0.00695948 0.0508076i
\(732\) −1.35725e9 −3.46040
\(733\) 5.49758e8i 1.39592i 0.716138 + 0.697959i \(0.245908\pi\)
−0.716138 + 0.697959i \(0.754092\pi\)
\(734\) 3.43823e8 1.98507e8i 0.869455 0.501980i
\(735\) −2.37101e8 −0.597134
\(736\) 4.07114e8 2.35047e8i 1.02113 0.589552i
\(737\) −8.58368e7 1.48674e8i −0.214423 0.371391i
\(738\) 2.90008e8 + 1.67436e8i 0.721508 + 0.416563i
\(739\) 7.25658e8i 1.79804i −0.437910 0.899019i \(-0.644281\pi\)
0.437910 0.899019i \(-0.355719\pi\)
\(740\) −6.38869e8 + 1.10655e9i −1.57658 + 2.73072i
\(741\) −2.40025e8 4.15735e8i −0.589932 1.02179i
\(742\) −8.67321e8 −2.12309
\(743\) 2.35578e7 1.36011e7i 0.0574339 0.0331595i −0.471008 0.882129i \(-0.656110\pi\)
0.528442 + 0.848969i \(0.322776\pi\)
\(744\) 1.34839e8 2.33548e8i 0.327414 0.567098i
\(745\) 2.41599e8 4.18461e8i 0.584287 1.01201i
\(746\) −2.85665e8 + 4.94787e8i −0.688083 + 1.19180i
\(747\) −4.60370e7 −0.110445
\(748\) 1.57858e7 2.73419e7i 0.0377192 0.0653316i
\(749\) −3.03644e8 1.75309e8i −0.722636 0.417214i
\(750\) 3.64254e7 2.10302e7i 0.0863417 0.0498494i
\(751\) −4.16717e8 + 2.40592e8i −0.983834 + 0.568017i −0.903425 0.428745i \(-0.858956\pi\)
−0.0804086 + 0.996762i \(0.525622\pi\)
\(752\) −371376. −0.000873293
\(753\) 4.72699e8i 1.10713i
\(754\) 3.59044e8 + 6.21882e8i 0.837593 + 1.45075i
\(755\) 3.93462e8 + 6.81497e8i 0.914244 + 1.58352i
\(756\) −2.04268e8 + 3.53803e8i −0.472754 + 0.818834i
\(757\) 4.25537e8 + 2.45684e8i 0.980957 + 0.566356i 0.902559 0.430566i \(-0.141686\pi\)
0.0783983 + 0.996922i \(0.475019\pi\)
\(758\) 8.15763e8i 1.87308i
\(759\) −4.48596e8 2.58997e8i −1.02596 0.592338i
\(760\) 4.85353e8 + 2.80219e8i 1.10565 + 0.638346i
\(761\) 3.70362e8 + 2.13829e8i 0.840374 + 0.485190i 0.857391 0.514665i \(-0.172084\pi\)
−0.0170173 + 0.999855i \(0.505417\pi\)
\(762\) 6.57109e8 + 1.13815e9i 1.48516 + 2.57237i
\(763\) 4.76228e8i 1.07211i
\(764\) −5.31502e7 + 3.06863e7i −0.119186 + 0.0688120i