Properties

Label 19.7.f.a.3.1
Level $19$
Weight $7$
Character 19.3
Analytic conductor $4.371$
Analytic rank $0$
Dimension $54$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 19 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 19.f (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.37102758878\)
Analytic rank: \(0\)
Dimension: \(54\)
Relative dimension: \(9\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 3.1
Character \(\chi\) \(=\) 19.3
Dual form 19.7.f.a.13.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-8.55141 + 10.1912i) q^{2} +(-4.72892 - 12.9926i) q^{3} +(-19.6199 - 111.270i) q^{4} +(12.1561 - 68.9408i) q^{5} +(172.849 + 62.9118i) q^{6} +(144.225 + 249.805i) q^{7} +(564.387 + 325.849i) q^{8} +(412.002 - 345.710i) q^{9} +O(q^{10})\) \(q+(-8.55141 + 10.1912i) q^{2} +(-4.72892 - 12.9926i) q^{3} +(-19.6199 - 111.270i) q^{4} +(12.1561 - 68.9408i) q^{5} +(172.849 + 62.9118i) q^{6} +(144.225 + 249.805i) q^{7} +(564.387 + 325.849i) q^{8} +(412.002 - 345.710i) q^{9} +(598.636 + 713.426i) q^{10} +(667.655 - 1156.41i) q^{11} +(-1352.90 + 781.100i) q^{12} +(442.343 - 1215.33i) q^{13} +(-3779.14 - 666.364i) q^{14} +(-953.206 + 168.076i) q^{15} +(-1352.04 + 492.101i) q^{16} +(-4735.67 - 3973.70i) q^{17} +7155.09i q^{18} +(5837.00 - 3602.13i) q^{19} -7909.54 q^{20} +(2563.59 - 3055.17i) q^{21} +(6075.81 + 16693.1i) q^{22} +(607.416 + 3444.83i) q^{23} +(1564.68 - 8873.76i) q^{24} +(10077.6 + 3667.96i) q^{25} +(8602.95 + 14900.8i) q^{26} +(-15169.1 - 8757.87i) q^{27} +(24966.1 - 20949.1i) q^{28} +(-23758.7 - 28314.5i) q^{29} +(6438.36 - 11151.6i) q^{30} +(-8975.31 + 5181.90i) q^{31} +(-7718.47 + 21206.3i) q^{32} +(-18182.1 - 3205.99i) q^{33} +(80993.3 - 14281.3i) q^{34} +(18975.0 - 6906.34i) q^{35} +(-46550.6 - 39060.6i) q^{36} +80004.9i q^{37} +(-13204.7 + 90289.1i) q^{38} -17882.1 q^{39} +(29325.0 - 34948.2i) q^{40} +(22210.3 + 61022.4i) q^{41} +(9213.43 + 52252.0i) q^{42} +(24169.4 - 137072. i) q^{43} +(-141773. - 51601.3i) q^{44} +(-18825.2 - 32606.2i) q^{45} +(-40301.1 - 23267.9i) q^{46} +(-7953.34 + 6673.65i) q^{47} +(12787.3 + 15239.4i) q^{48} +(17222.7 - 29830.6i) q^{49} +(-123559. + 71336.6i) q^{50} +(-29234.1 + 80319.9i) q^{51} +(-143908. - 25374.9i) q^{52} +(42286.7 - 7456.29i) q^{53} +(218970. - 79698.5i) q^{54} +(-71608.0 - 60086.2i) q^{55} +187982. i q^{56} +(-74403.7 - 58803.6i) q^{57} +491728. q^{58} +(172022. - 205007. i) q^{59} +(37403.6 + 102766. i) q^{60} +(35045.7 + 198754. i) q^{61} +(23941.9 - 135781. i) q^{62} +(145781. + 53060.0i) q^{63} +(-196155. - 339751. i) q^{64} +(-78408.5 - 45269.2i) q^{65} +(188155. - 157881. i) q^{66} +(336540. + 401072. i) q^{67} +(-349240. + 604901. i) q^{68} +(41884.9 - 24182.2i) q^{69} +(-91879.3 + 252436. i) q^{70} +(-198922. - 35075.2i) q^{71} +(345177. - 60864.1i) q^{72} +(-431834. + 157175. i) q^{73} +(-815343. - 684154. i) q^{74} -148280. i q^{75} +(-515330. - 578809. i) q^{76} +385171. q^{77} +(152917. - 182239. i) q^{78} +(-24154.7 - 66364.6i) q^{79} +(17490.3 + 99192.5i) q^{80} +(26029.5 - 147621. i) q^{81} +(-811819. - 295478. i) q^{82} +(233877. + 405087. i) q^{83} +(-390246. - 225308. i) q^{84} +(-331518. + 278176. i) q^{85} +(1.19024e6 + 1.41847e6i) q^{86} +(-255526. + 442584. i) q^{87} +(753631. - 435109. i) q^{88} +(-295296. + 811320. i) q^{89} +(493278. + 86978.2i) q^{90} +(367392. - 64781.2i) q^{91} +(371389. - 135174. i) q^{92} +(109770. + 92107.8i) q^{93} -138123. i q^{94} +(-177378. - 446196. i) q^{95} +312025. q^{96} +(126704. - 150999. i) q^{97} +(156730. + 430613. i) q^{98} +(-124709. - 707259. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9} + O(q^{10}) \) \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9} - 1689 q^{10} + 1677 q^{11} - 9 q^{12} - 10506 q^{13} + 6105 q^{14} + 24138 q^{15} + 23760 q^{16} - 3438 q^{17} - 30918 q^{19} - 76650 q^{20} - 59055 q^{21} + 20490 q^{22} + 42498 q^{23} + 31848 q^{24} + 7914 q^{25} + 109989 q^{26} + 124821 q^{27} - 109476 q^{28} - 27726 q^{29} - 153516 q^{30} - 30789 q^{31} - 114375 q^{32} + 126039 q^{33} + 359796 q^{34} + 160161 q^{35} + 184995 q^{36} - 245244 q^{38} - 390564 q^{39} - 372678 q^{40} - 24708 q^{41} - 244893 q^{42} - 30726 q^{43} - 301419 q^{44} + 293037 q^{45} + 69246 q^{46} - 71454 q^{47} + 1024041 q^{48} - 350346 q^{49} - 104148 q^{50} - 180672 q^{51} + 921801 q^{52} + 822558 q^{53} + 308469 q^{54} + 623517 q^{55} - 17862 q^{57} - 1150644 q^{58} - 463812 q^{59} - 908130 q^{60} - 583698 q^{61} - 429732 q^{62} - 2576043 q^{63} - 328293 q^{64} - 1056789 q^{65} - 1038756 q^{66} + 1120464 q^{67} + 717270 q^{68} + 3771567 q^{69} + 4845345 q^{70} + 94494 q^{71} + 2351634 q^{72} + 950850 q^{73} + 55149 q^{74} - 218814 q^{76} - 343086 q^{77} + 1833471 q^{78} - 4936494 q^{79} - 9642039 q^{80} - 769551 q^{81} - 8627793 q^{82} - 412131 q^{83} - 3125205 q^{84} - 896910 q^{85} + 8878236 q^{86} + 610737 q^{87} + 13604751 q^{88} + 6653022 q^{89} + 3142734 q^{90} + 3409821 q^{91} - 3043740 q^{92} - 816393 q^{93} + 4839186 q^{95} - 5667138 q^{96} - 853656 q^{97} - 17679315 q^{98} - 13991937 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −8.55141 + 10.1912i −1.06893 + 1.27390i −0.108879 + 0.994055i \(0.534726\pi\)
−0.960046 + 0.279841i \(0.909718\pi\)
\(3\) −4.72892 12.9926i −0.175145 0.481207i 0.820795 0.571222i \(-0.193531\pi\)
−0.995940 + 0.0900152i \(0.971308\pi\)
\(4\) −19.6199 111.270i −0.306561 1.73859i
\(5\) 12.1561 68.9408i 0.0972490 0.551527i −0.896786 0.442465i \(-0.854104\pi\)
0.994035 0.109062i \(-0.0347847\pi\)
\(6\) 172.849 + 62.9118i 0.800225 + 0.291258i
\(7\) 144.225 + 249.805i 0.420482 + 0.728295i 0.995987 0.0895028i \(-0.0285278\pi\)
−0.575505 + 0.817798i \(0.695194\pi\)
\(8\) 564.387 + 325.849i 1.10232 + 0.636423i
\(9\) 412.002 345.710i 0.565160 0.474225i
\(10\) 598.636 + 713.426i 0.598636 + 0.713426i
\(11\) 667.655 1156.41i 0.501619 0.868830i −0.498379 0.866959i \(-0.666071\pi\)
0.999998 0.00187087i \(-0.000595516\pi\)
\(12\) −1352.90 + 781.100i −0.782931 + 0.452025i
\(13\) 442.343 1215.33i 0.201340 0.553176i −0.797396 0.603457i \(-0.793789\pi\)
0.998735 + 0.0502810i \(0.0160117\pi\)
\(14\) −3779.14 666.364i −1.37724 0.242844i
\(15\) −953.206 + 168.076i −0.282431 + 0.0498003i
\(16\) −1352.04 + 492.101i −0.330087 + 0.120142i
\(17\) −4735.67 3973.70i −0.963906 0.808813i 0.0176781 0.999844i \(-0.494373\pi\)
−0.981584 + 0.191031i \(0.938817\pi\)
\(18\) 7155.09i 1.22687i
\(19\) 5837.00 3602.13i 0.850999 0.525168i
\(20\) −7909.54 −0.988693
\(21\) 2563.59 3055.17i 0.276816 0.329896i
\(22\) 6075.81 + 16693.1i 0.570606 + 1.56773i
\(23\) 607.416 + 3444.83i 0.0499233 + 0.283129i 0.999541 0.0302802i \(-0.00963997\pi\)
−0.949618 + 0.313409i \(0.898529\pi\)
\(24\) 1564.68 8873.76i 0.113186 0.641910i
\(25\) 10077.6 + 3667.96i 0.644968 + 0.234749i
\(26\) 8602.95 + 14900.8i 0.489472 + 0.847790i
\(27\) −15169.1 8757.87i −0.770669 0.444946i
\(28\) 24966.1 20949.1i 1.13731 0.954313i
\(29\) −23758.7 28314.5i −0.974156 1.16095i −0.986949 0.161035i \(-0.948517\pi\)
0.0127931 0.999918i \(-0.495928\pi\)
\(30\) 6438.36 11151.6i 0.238458 0.413021i
\(31\) −8975.31 + 5181.90i −0.301276 + 0.173942i −0.643016 0.765853i \(-0.722317\pi\)
0.341740 + 0.939795i \(0.388984\pi\)
\(32\) −7718.47 + 21206.3i −0.235549 + 0.647166i
\(33\) −18182.1 3205.99i −0.505944 0.0892115i
\(34\) 80993.3 14281.3i 2.06069 0.363355i
\(35\) 18975.0 6906.34i 0.442566 0.161081i
\(36\) −46550.6 39060.6i −0.997741 0.837204i
\(37\) 80004.9i 1.57947i 0.613448 + 0.789735i \(0.289782\pi\)
−0.613448 + 0.789735i \(0.710218\pi\)
\(38\) −13204.7 + 90289.1i −0.240645 + 1.64545i
\(39\) −17882.1 −0.301456
\(40\) 29325.0 34948.2i 0.458204 0.546066i
\(41\) 22210.3 + 61022.4i 0.322258 + 0.885396i 0.990008 + 0.141011i \(0.0450352\pi\)
−0.667750 + 0.744385i \(0.732743\pi\)
\(42\) 9213.43 + 52252.0i 0.124358 + 0.705269i
\(43\) 24169.4 137072.i 0.303991 1.72402i −0.324226 0.945980i \(-0.605104\pi\)
0.628217 0.778038i \(-0.283785\pi\)
\(44\) −141773. 51601.3i −1.66432 0.605762i
\(45\) −18825.2 32606.2i −0.206587 0.357819i
\(46\) −40301.1 23267.9i −0.414041 0.239047i
\(47\) −7953.34 + 6673.65i −0.0766048 + 0.0642791i −0.680286 0.732947i \(-0.738144\pi\)
0.603681 + 0.797226i \(0.293700\pi\)
\(48\) 12787.3 + 15239.4i 0.115626 + 0.137798i
\(49\) 17222.7 29830.6i 0.146391 0.253556i
\(50\) −123559. + 71336.6i −0.988469 + 0.570693i
\(51\) −29234.1 + 80319.9i −0.220383 + 0.605498i
\(52\) −143908. 25374.9i −1.02347 0.180465i
\(53\) 42286.7 7456.29i 0.284038 0.0500835i −0.0298141 0.999555i \(-0.509492\pi\)
0.313852 + 0.949472i \(0.398380\pi\)
\(54\) 218970. 79698.5i 1.39060 0.506138i
\(55\) −71608.0 60086.2i −0.430401 0.361149i
\(56\) 187982.i 1.07042i
\(57\) −74403.7 58803.6i −0.401763 0.317526i
\(58\) 491728. 2.52023
\(59\) 172022. 205007.i 0.837581 0.998190i −0.162353 0.986733i \(-0.551908\pi\)
0.999934 0.0114578i \(-0.00364720\pi\)
\(60\) 37403.6 + 102766.i 0.173165 + 0.475766i
\(61\) 35045.7 + 198754.i 0.154399 + 0.875641i 0.959333 + 0.282277i \(0.0910896\pi\)
−0.804934 + 0.593365i \(0.797799\pi\)
\(62\) 23941.9 135781.i 0.100458 0.569725i
\(63\) 145781. + 53060.0i 0.583015 + 0.212200i
\(64\) −196155. 339751.i −0.748273 1.29605i
\(65\) −78408.5 45269.2i −0.285511 0.164840i
\(66\) 188155. 157881.i 0.654462 0.549159i
\(67\) 336540. + 401072.i 1.11895 + 1.33352i 0.936647 + 0.350274i \(0.113912\pi\)
0.182305 + 0.983242i \(0.441644\pi\)
\(68\) −349240. + 604901.i −1.11070 + 1.92379i
\(69\) 41884.9 24182.2i 0.127500 0.0736121i
\(70\) −91879.3 + 252436.i −0.267870 + 0.735966i
\(71\) −198922. 35075.2i −0.555785 0.0979999i −0.111301 0.993787i \(-0.535502\pi\)
−0.444484 + 0.895787i \(0.646613\pi\)
\(72\) 345177. 60864.1i 0.924794 0.163066i
\(73\) −431834. + 157175.i −1.11007 + 0.404031i −0.831018 0.556246i \(-0.812241\pi\)
−0.279048 + 0.960277i \(0.590019\pi\)
\(74\) −815343. 684154.i −2.01208 1.68834i
\(75\) 148280.i 0.351479i
\(76\) −515330. 578809.i −1.17394 1.31854i
\(77\) 385171. 0.843687
\(78\) 152917. 182239.i 0.322234 0.384024i
\(79\) −24154.7 66364.6i −0.0489915 0.134603i 0.912784 0.408443i \(-0.133928\pi\)
−0.961775 + 0.273840i \(0.911706\pi\)
\(80\) 17490.3 + 99192.5i 0.0341608 + 0.193735i
\(81\) 26029.5 147621.i 0.0489791 0.277774i
\(82\) −811819. 295478.i −1.47237 0.535900i
\(83\) 233877. + 405087.i 0.409028 + 0.708458i 0.994781 0.102032i \(-0.0325344\pi\)
−0.585753 + 0.810490i \(0.699201\pi\)
\(84\) −390246. 225308.i −0.658416 0.380137i
\(85\) −331518. + 278176.i −0.539821 + 0.452964i
\(86\) 1.19024e6 + 1.41847e6i 1.87128 + 2.23010i
\(87\) −255526. + 442584.i −0.388041 + 0.672106i
\(88\) 753631. 435109.i 1.10589 0.638485i
\(89\) −295296. + 811320.i −0.418878 + 1.15086i 0.533463 + 0.845824i \(0.320890\pi\)
−0.952341 + 0.305035i \(0.901332\pi\)
\(90\) 493278. + 86978.2i 0.676650 + 0.119312i
\(91\) 367392. 64781.2i 0.487535 0.0859656i
\(92\) 371389. 135174.i 0.476941 0.173592i
\(93\) 109770. + 92107.8i 0.136469 + 0.114511i
\(94\) 138123.i 0.166296i
\(95\) −177378. 446196.i −0.206885 0.520420i
\(96\) 312025. 0.352676
\(97\) 126704. 150999.i 0.138827 0.165447i −0.692151 0.721752i \(-0.743337\pi\)
0.830978 + 0.556305i \(0.187781\pi\)
\(98\) 156730. + 430613.i 0.166523 + 0.457519i
\(99\) −124709. 707259.i −0.128526 0.728909i
\(100\) 210411. 1.19330e6i 0.210411 1.19330i
\(101\) −1.20794e6 439655.i −1.17242 0.426725i −0.318899 0.947789i \(-0.603313\pi\)
−0.853518 + 0.521064i \(0.825535\pi\)
\(102\) −568562. 984778.i −0.535768 0.927978i
\(103\) 1.01103e6 + 583716.i 0.925232 + 0.534183i 0.885300 0.465019i \(-0.153953\pi\)
0.0399315 + 0.999202i \(0.487286\pi\)
\(104\) 645666. 541778.i 0.573994 0.481638i
\(105\) −179463. 213875.i −0.155026 0.184753i
\(106\) −285623. + 494713.i −0.239814 + 0.415370i
\(107\) 711915. 411024.i 0.581135 0.335518i −0.180449 0.983584i \(-0.557755\pi\)
0.761584 + 0.648066i \(0.224422\pi\)
\(108\) −676872. + 1.85969e6i −0.537323 + 1.47628i
\(109\) −1.88194e6 331837.i −1.45321 0.256239i −0.609389 0.792871i \(-0.708585\pi\)
−0.843816 + 0.536632i \(0.819696\pi\)
\(110\) 1.22470e6 215947.i 0.920133 0.162244i
\(111\) 1.03947e6 378337.i 0.760052 0.276636i
\(112\) −317927. 266772.i −0.226294 0.189883i
\(113\) 263555.i 0.182657i 0.995821 + 0.0913283i \(0.0291113\pi\)
−0.995821 + 0.0913283i \(0.970889\pi\)
\(114\) 1.23553e6 255407.i 0.833950 0.172392i
\(115\) 244873. 0.161008
\(116\) −2.68441e6 + 3.19915e6i −1.71979 + 2.04956i
\(117\) −237905. 653639.i −0.148541 0.408113i
\(118\) 618238. + 3.50620e6i 0.376279 + 2.13398i
\(119\) 309648. 1.75610e6i 0.183750 1.04210i
\(120\) −592744. 215741.i −0.343023 0.124850i
\(121\) −5746.83 9953.80i −0.00324393 0.00561866i
\(122\) −2.32522e6 1.34247e6i −1.28052 0.739307i
\(123\) 687808. 577140.i 0.369617 0.310146i
\(124\) 752684. + 897014.i 0.394773 + 0.470473i
\(125\) 922286. 1.59745e6i 0.472210 0.817892i
\(126\) −1.78738e6 + 1.03194e6i −0.893521 + 0.515875i
\(127\) 521147. 1.43184e6i 0.254419 0.699009i −0.745069 0.666988i \(-0.767583\pi\)
0.999487 0.0320213i \(-0.0101945\pi\)
\(128\) 3.71750e6 + 655495.i 1.77264 + 0.312564i
\(129\) −1.89521e6 + 334177.i −0.882853 + 0.155671i
\(130\) 1.13185e6 411959.i 0.515179 0.187510i
\(131\) −914630. 767466.i −0.406848 0.341386i 0.416286 0.909234i \(-0.363332\pi\)
−0.823133 + 0.567848i \(0.807776\pi\)
\(132\) 2.08602e6i 0.906979i
\(133\) 1.74167e6 + 938596.i 0.740307 + 0.398955i
\(134\) −6.96528e6 −2.89484
\(135\) −788172. + 939307.i −0.320346 + 0.381774i
\(136\) −1.37792e6 3.78581e6i −0.547783 1.50502i
\(137\) 298731. + 1.69419e6i 0.116177 + 0.658871i 0.986161 + 0.165791i \(0.0530177\pi\)
−0.869984 + 0.493080i \(0.835871\pi\)
\(138\) −111729. + 633648.i −0.0425138 + 0.241107i
\(139\) 2.00433e6 + 729515.i 0.746318 + 0.271637i 0.687055 0.726605i \(-0.258903\pi\)
0.0592624 + 0.998242i \(0.481125\pi\)
\(140\) −1.14076e6 1.97585e6i −0.415727 0.720061i
\(141\) 124319. + 71775.5i 0.0443485 + 0.0256046i
\(142\) 2.05852e6 1.72730e6i 0.718935 0.603258i
\(143\) −1.11009e6 1.32295e6i −0.379620 0.452414i
\(144\) −386917. + 670159.i −0.129578 + 0.224435i
\(145\) −2.24084e6 + 1.29375e6i −0.735032 + 0.424371i
\(146\) 2.09100e6 5.74496e6i 0.671884 1.84599i
\(147\) −469022. 82701.2i −0.147652 0.0260351i
\(148\) 8.90214e6 1.56969e6i 2.74606 0.484204i
\(149\) 2.72832e6 993029.i 0.824778 0.300195i 0.105064 0.994465i \(-0.466495\pi\)
0.719714 + 0.694271i \(0.244273\pi\)
\(150\) 1.51115e6 + 1.26800e6i 0.447747 + 0.375705i
\(151\) 2.32452e6i 0.675153i 0.941298 + 0.337577i \(0.109607\pi\)
−0.941298 + 0.337577i \(0.890393\pi\)
\(152\) 4.46807e6 131013.i 1.27230 0.0373066i
\(153\) −3.32485e6 −0.928321
\(154\) −3.29375e6 + 3.92534e6i −0.901838 + 1.07477i
\(155\) 248139. + 681757.i 0.0666347 + 0.183077i
\(156\) 350844. + 1.98974e6i 0.0924146 + 0.524109i
\(157\) −1.07797e6 + 6.11350e6i −0.278554 + 1.57976i 0.448887 + 0.893588i \(0.351820\pi\)
−0.727441 + 0.686170i \(0.759291\pi\)
\(158\) 882889. + 321345.i 0.223839 + 0.0814706i
\(159\) −296847. 514154.i −0.0738484 0.127909i
\(160\) 1.36815e6 + 789905.i 0.334022 + 0.192848i
\(161\) −772932. + 648567.i −0.185210 + 0.155409i
\(162\) 1.28184e6 + 1.52763e6i 0.301500 + 0.359314i
\(163\) 1.80960e6 3.13432e6i 0.417850 0.723737i −0.577873 0.816127i \(-0.696117\pi\)
0.995723 + 0.0923895i \(0.0294505\pi\)
\(164\) 6.35419e6 3.66859e6i 1.44055 0.831703i
\(165\) −442048. + 1.21452e6i −0.0984050 + 0.270366i
\(166\) −6.12829e6 1.08058e6i −1.33972 0.236229i
\(167\) −26892.8 + 4741.93i −0.00577413 + 0.00101814i −0.176534 0.984294i \(-0.556489\pi\)
0.170760 + 0.985313i \(0.445378\pi\)
\(168\) 2.44238e6 888953.i 0.515092 0.187478i
\(169\) 2.41620e6 + 2.02743e6i 0.500578 + 0.420035i
\(170\) 5.75735e6i 1.17186i
\(171\) 1.15956e6 3.50199e6i 0.231902 0.700369i
\(172\) −1.57261e7 −3.09056
\(173\) −4.99402e6 + 5.95164e6i −0.964521 + 1.14947i 0.0242004 + 0.999707i \(0.492296\pi\)
−0.988722 + 0.149765i \(0.952148\pi\)
\(174\) −2.32534e6 6.38882e6i −0.441407 1.21275i
\(175\) 537173. + 3.04646e6i 0.100230 + 0.568435i
\(176\) −333622. + 1.89207e6i −0.0611951 + 0.347055i
\(177\) −3.47705e6 1.26554e6i −0.627035 0.228222i
\(178\) −5.74310e6 9.94734e6i −1.01832 1.76379i
\(179\) 5.50568e6 + 3.17871e6i 0.959958 + 0.554232i 0.896160 0.443731i \(-0.146345\pi\)
0.0637978 + 0.997963i \(0.479679\pi\)
\(180\) −3.25874e6 + 2.73441e6i −0.558770 + 0.468863i
\(181\) −2.71412e6 3.23457e6i −0.457713 0.545482i 0.486990 0.873408i \(-0.338095\pi\)
−0.944703 + 0.327926i \(0.893650\pi\)
\(182\) −2.48152e6 + 4.29813e6i −0.411628 + 0.712960i
\(183\) 2.41660e6 1.39523e6i 0.394323 0.227662i
\(184\) −779676. + 2.14214e6i −0.125159 + 0.343870i
\(185\) 5.51560e6 + 972550.i 0.871120 + 0.153602i
\(186\) −1.87737e6 + 331032.i −0.291751 + 0.0514435i
\(187\) −7.75703e6 + 2.82333e6i −1.18624 + 0.431754i
\(188\) 898620. + 754032.i 0.135239 + 0.113479i
\(189\) 5.05242e6i 0.748366i
\(190\) 6.06409e6 + 2.00791e6i 0.884107 + 0.292740i
\(191\) 1.13569e7 1.62989 0.814944 0.579539i \(-0.196767\pi\)
0.814944 + 0.579539i \(0.196767\pi\)
\(192\) −3.48664e6 + 4.15522e6i −0.492611 + 0.587071i
\(193\) −1.07135e6 2.94351e6i −0.149025 0.409443i 0.842609 0.538526i \(-0.181019\pi\)
−0.991634 + 0.129083i \(0.958797\pi\)
\(194\) 455367. + 2.58251e6i 0.0623672 + 0.353702i
\(195\) −217377. + 1.23280e6i −0.0293163 + 0.166261i
\(196\) −3.65716e6 1.33110e6i −0.485708 0.176783i
\(197\) 2.86572e6 + 4.96356e6i 0.374830 + 0.649225i 0.990302 0.138934i \(-0.0443677\pi\)
−0.615472 + 0.788159i \(0.711034\pi\)
\(198\) 8.27423e6 + 4.77713e6i 1.06594 + 0.615420i
\(199\) −6.90558e6 + 5.79447e6i −0.876276 + 0.735283i −0.965410 0.260736i \(-0.916035\pi\)
0.0891335 + 0.996020i \(0.471590\pi\)
\(200\) 4.49248e6 + 5.35393e6i 0.561560 + 0.669241i
\(201\) 3.61950e6 6.26916e6i 0.445718 0.772007i
\(202\) 1.48102e7 8.55067e6i 1.79683 1.03740i
\(203\) 3.64651e6 1.00187e7i 0.435903 1.19763i
\(204\) 9.51076e6 + 1.67700e6i 1.12028 + 0.197535i
\(205\) 4.47693e6 789403.i 0.519659 0.0916299i
\(206\) −1.45944e7 + 5.31194e6i −1.66950 + 0.607648i
\(207\) 1.44117e6 + 1.20929e6i 0.162482 + 0.136338i
\(208\) 1.86084e6i 0.206785i
\(209\) −268443. 9.15496e6i −0.0294045 1.00281i
\(210\) 3.71429e6 0.401068
\(211\) 611095. 728275.i 0.0650521 0.0775261i −0.732537 0.680727i \(-0.761664\pi\)
0.797589 + 0.603201i \(0.206108\pi\)
\(212\) −1.65932e6 4.55895e6i −0.174150 0.478473i
\(213\) 484965. + 2.75038e6i 0.0501848 + 0.284612i
\(214\) −1.89906e6 + 1.07701e7i −0.193774 + 1.09895i
\(215\) −9.15602e6 3.33252e6i −0.921279 0.335318i
\(216\) −5.70748e6 9.88565e6i −0.566348 0.980943i
\(217\) −2.58893e6 1.49472e6i −0.253362 0.146279i
\(218\) 1.94751e7 1.63415e7i 1.87979 1.57733i
\(219\) 4.08422e6 + 4.86738e6i 0.388845 + 0.463408i
\(220\) −5.28085e6 + 9.14670e6i −0.495948 + 0.859006i
\(221\) −6.92414e6 + 3.99765e6i −0.641488 + 0.370364i
\(222\) −5.03325e6 + 1.38287e7i −0.460033 + 1.26393i
\(223\) −9.91400e6 1.74810e6i −0.893993 0.157635i −0.292266 0.956337i \(-0.594409\pi\)
−0.601727 + 0.798702i \(0.705520\pi\)
\(224\) −6.41065e6 + 1.13037e6i −0.570372 + 0.100572i
\(225\) 5.42005e6 1.97274e6i 0.475834 0.173190i
\(226\) −2.68593e6 2.25376e6i −0.232685 0.195246i
\(227\) 4.63872e6i 0.396571i −0.980144 0.198285i \(-0.936463\pi\)
0.980144 0.198285i \(-0.0635373\pi\)
\(228\) −5.08328e6 + 9.43261e6i −0.428884 + 0.795843i
\(229\) 1.21002e7 1.00760 0.503799 0.863821i \(-0.331935\pi\)
0.503799 + 0.863821i \(0.331935\pi\)
\(230\) −2.09401e6 + 2.49554e6i −0.172106 + 0.205108i
\(231\) −1.82144e6 5.00437e6i −0.147768 0.405988i
\(232\) −4.18284e6 2.37221e7i −0.334971 1.89971i
\(233\) 530381. 3.00794e6i 0.0419296 0.237794i −0.956639 0.291275i \(-0.905920\pi\)
0.998569 + 0.0534808i \(0.0170316\pi\)
\(234\) 8.69577e6 + 3.16500e6i 0.678673 + 0.247017i
\(235\) 363405. + 629436.i 0.0280019 + 0.0485007i
\(236\) −2.61862e7 1.51186e7i −1.99222 1.15021i
\(237\) −748022. + 627665.i −0.0561914 + 0.0471501i
\(238\) 1.52488e7 + 1.81728e7i 1.13111 + 1.34801i
\(239\) −1.03346e7 + 1.79000e7i −0.757005 + 1.31117i 0.187367 + 0.982290i \(0.440005\pi\)
−0.944372 + 0.328881i \(0.893329\pi\)
\(240\) 1.20606e6 696318.i 0.0872438 0.0503702i
\(241\) 1.93591e6 5.31886e6i 0.138303 0.379986i −0.851134 0.524949i \(-0.824084\pi\)
0.989437 + 0.144964i \(0.0463065\pi\)
\(242\) 150584. + 26552.1i 0.0106251 + 0.00187349i
\(243\) −1.46160e7 + 2.57720e6i −1.01862 + 0.179610i
\(244\) 2.14277e7 7.79906e6i 1.47505 0.536875i
\(245\) −1.84718e6 1.54997e6i −0.125606 0.105396i
\(246\) 1.19449e7i 0.802376i
\(247\) −1.79581e6 8.68724e6i −0.119171 0.576489i
\(248\) −6.75406e6 −0.442802
\(249\) 4.15715e6 4.95429e6i 0.269276 0.320910i
\(250\) 8.39300e6 + 2.30596e7i 0.537152 + 1.47581i
\(251\) 4.25903e6 + 2.41542e7i 0.269333 + 1.52746i 0.756406 + 0.654103i \(0.226954\pi\)
−0.487073 + 0.873361i \(0.661935\pi\)
\(252\) 3.04378e6 1.72621e7i 0.190200 1.07868i
\(253\) 4.38919e6 + 1.59753e6i 0.271033 + 0.0986481i
\(254\) 1.01356e7 + 1.75553e7i 0.618510 + 1.07129i
\(255\) 5.18195e6 + 2.99180e6i 0.312516 + 0.180431i
\(256\) −1.92363e7 + 1.61412e7i −1.14658 + 0.962091i
\(257\) −1.21465e7 1.44756e7i −0.715569 0.852782i 0.278623 0.960401i \(-0.410122\pi\)
−0.994192 + 0.107618i \(0.965678\pi\)
\(258\) 1.28011e7 2.21721e7i 0.745395 1.29106i
\(259\) −1.99856e7 + 1.15387e7i −1.15032 + 0.664138i
\(260\) −3.49873e6 + 9.61269e6i −0.199063 + 0.546921i
\(261\) −1.95772e7 3.45199e6i −1.10111 0.194155i
\(262\) 1.56428e7 2.75824e6i 0.869780 0.153366i
\(263\) −1.22672e6 + 446489.i −0.0674338 + 0.0245439i −0.375517 0.926816i \(-0.622535\pi\)
0.308083 + 0.951359i \(0.400313\pi\)
\(264\) −9.21706e6 7.73403e6i −0.500934 0.420334i
\(265\) 3.00592e6i 0.161525i
\(266\) −2.44591e7 + 9.72337e6i −1.29956 + 0.516621i
\(267\) 1.19376e7 0.627166
\(268\) 3.80244e7 4.53157e7i 1.97541 2.35421i
\(269\) 9.58723e6 + 2.63407e7i 0.492534 + 1.35323i 0.898353 + 0.439273i \(0.144764\pi\)
−0.405819 + 0.913953i \(0.633014\pi\)
\(270\) −2.83266e6 1.60648e7i −0.143914 0.816176i
\(271\) 5.76754e6 3.27094e7i 0.289790 1.64348i −0.397867 0.917443i \(-0.630249\pi\)
0.687656 0.726036i \(-0.258640\pi\)
\(272\) 8.35826e6 + 3.04216e6i 0.415345 + 0.151173i
\(273\) −2.57904e6 4.46704e6i −0.126757 0.219549i
\(274\) −1.98203e7 1.14433e7i −0.963517 0.556287i
\(275\) 1.09701e7 9.20497e6i 0.527486 0.442613i
\(276\) −3.51253e6 4.18607e6i −0.167068 0.199104i
\(277\) 1.26805e7 2.19633e7i 0.596620 1.03338i −0.396696 0.917950i \(-0.629843\pi\)
0.993316 0.115426i \(-0.0368233\pi\)
\(278\) −2.45744e7 + 1.41880e7i −1.14380 + 0.660371i
\(279\) −1.90641e6 + 5.23781e6i −0.0877815 + 0.241178i
\(280\) 1.29597e7 + 2.28514e6i 0.590364 + 0.104097i
\(281\) 3.12024e7 5.50183e6i 1.40627 0.247964i 0.581555 0.813507i \(-0.302445\pi\)
0.824718 + 0.565543i \(0.191334\pi\)
\(282\) −1.79458e6 + 653172.i −0.0800229 + 0.0291260i
\(283\) −6.89734e6 5.78756e6i −0.304314 0.255350i 0.477823 0.878456i \(-0.341426\pi\)
−0.782137 + 0.623106i \(0.785871\pi\)
\(284\) 2.28222e7i 0.996327i
\(285\) −4.95843e6 + 4.41463e6i −0.214195 + 0.190704i
\(286\) 2.29752e7 0.982114
\(287\) −1.20404e7 + 1.43492e7i −0.509326 + 0.606992i
\(288\) 4.15122e6 + 1.14054e7i 0.173780 + 0.477455i
\(289\) 2.44484e6 + 1.38654e7i 0.101288 + 0.574432i
\(290\) 5.97751e6 3.39001e7i 0.245090 1.38998i
\(291\) −2.56104e6 932144.i −0.103929 0.0378272i
\(292\) 2.59614e7 + 4.49664e7i 1.04275 + 1.80609i
\(293\) 3.48727e7 + 2.01338e7i 1.38638 + 0.800428i 0.992905 0.118907i \(-0.0379389\pi\)
0.393477 + 0.919335i \(0.371272\pi\)
\(294\) 4.85361e6 4.07267e6i 0.190996 0.160264i
\(295\) −1.20423e7 1.43514e7i −0.469075 0.559021i
\(296\) −2.60695e7 + 4.51537e7i −1.00521 + 1.74108i
\(297\) −2.02554e7 + 1.16945e7i −0.773165 + 0.446387i
\(298\) −1.32109e7 + 3.62966e7i −0.499210 + 1.37157i
\(299\) 4.45528e6 + 785587.i 0.166672 + 0.0293887i
\(300\) −1.64991e7 + 2.90924e6i −0.611078 + 0.107750i
\(301\) 3.77270e7 1.37315e7i 1.38342 0.503523i
\(302\) −2.36896e7 1.98779e7i −0.860075 0.721689i
\(303\) 1.77734e7i 0.638914i
\(304\) −6.11922e6 + 7.74260e6i −0.217809 + 0.275592i
\(305\) 1.41283e7 0.497955
\(306\) 2.84322e7 3.38841e7i 0.992306 1.18258i
\(307\) −4.48700e6 1.23279e7i −0.155075 0.426065i 0.837689 0.546148i \(-0.183906\pi\)
−0.992764 + 0.120083i \(0.961684\pi\)
\(308\) −7.55701e6 4.28579e7i −0.258641 1.46683i
\(309\) 2.80293e6 1.58962e7i 0.0950028 0.538788i
\(310\) −9.06985e6 3.30115e6i −0.304449 0.110810i
\(311\) 1.06444e7 + 1.84367e7i 0.353867 + 0.612916i 0.986923 0.161190i \(-0.0515332\pi\)
−0.633056 + 0.774106i \(0.718200\pi\)
\(312\) −1.00924e7 5.82685e6i −0.332300 0.191854i
\(313\) −2.36358e7 + 1.98328e7i −0.770791 + 0.646771i −0.940911 0.338653i \(-0.890029\pi\)
0.170120 + 0.985423i \(0.445584\pi\)
\(314\) −5.30855e7 6.32648e7i −1.71469 2.04349i
\(315\) 5.43014e6 9.40528e6i 0.173732 0.300912i
\(316\) −6.91047e6 + 3.98976e6i −0.219001 + 0.126440i
\(317\) 7.21432e6 1.98212e7i 0.226474 0.622231i −0.773459 0.633847i \(-0.781475\pi\)
0.999933 + 0.0116151i \(0.00369728\pi\)
\(318\) 7.77829e6 + 1.37152e6i 0.241882 + 0.0426502i
\(319\) −4.86059e7 + 8.57052e6i −1.49733 + 0.264019i
\(320\) −2.58072e7 + 9.39305e6i −0.787573 + 0.286653i
\(321\) −8.70686e6 7.30592e6i −0.263237 0.220882i
\(322\) 1.34232e7i 0.402059i
\(323\) −4.19559e7 6.13599e6i −1.24505 0.182086i
\(324\) −1.69364e7 −0.497951
\(325\) 8.91554e6 1.06251e7i 0.259715 0.309517i
\(326\) 1.64678e7 + 4.52448e7i 0.475315 + 1.30592i
\(327\) 4.58813e6 + 2.60206e7i 0.131218 + 0.744172i
\(328\) −7.34885e6 + 4.16774e7i −0.208256 + 1.18108i
\(329\) −2.81419e6 1.02428e6i −0.0790251 0.0287628i
\(330\) −8.59721e6 1.48908e7i −0.239230 0.414359i
\(331\) 9.53687e6 + 5.50611e6i 0.262979 + 0.151831i 0.625693 0.780069i \(-0.284816\pi\)
−0.362713 + 0.931901i \(0.618150\pi\)
\(332\) 4.04854e7 3.39713e7i 1.10633 0.928319i
\(333\) 2.76585e7 + 3.29621e7i 0.749025 + 0.892653i
\(334\) 181646. 314619.i 0.00487512 0.00844396i
\(335\) 3.17413e7 1.83258e7i 0.844287 0.487449i
\(336\) −1.96262e6 + 5.39224e6i −0.0517389 + 0.142152i
\(337\) −5.82861e7 1.02774e7i −1.52291 0.268531i −0.651337 0.758789i \(-0.725792\pi\)
−0.871578 + 0.490258i \(0.836903\pi\)
\(338\) −4.13238e7 + 7.28649e6i −1.07016 + 0.188698i
\(339\) 3.42426e6 1.24633e6i 0.0878957 0.0319914i
\(340\) 3.74570e7 + 3.14301e7i 0.953007 + 0.799668i
\(341\) 1.38389e7i 0.349010i
\(342\) 2.57735e7 + 4.17642e7i 0.644311 + 1.04406i
\(343\) 4.38717e7 1.08718
\(344\) 5.83055e7 6.94858e7i 1.43230 1.70695i
\(345\) −1.15799e6 3.18154e6i −0.0281998 0.0774783i
\(346\) −1.79483e7 1.01790e8i −0.433306 2.45740i
\(347\) −1.34988e7 + 7.65557e7i −0.323079 + 1.83227i 0.199769 + 0.979843i \(0.435981\pi\)
−0.522847 + 0.852426i \(0.675130\pi\)
\(348\) 5.42597e7 + 1.97489e7i 1.28748 + 0.468603i
\(349\) 6.23116e6 + 1.07927e7i 0.146586 + 0.253894i 0.929964 0.367652i \(-0.119838\pi\)
−0.783378 + 0.621546i \(0.786505\pi\)
\(350\) −3.56405e7 2.05771e7i −0.831266 0.479932i
\(351\) −1.73536e7 + 1.45614e7i −0.401299 + 0.336730i
\(352\) 1.93700e7 + 2.30843e7i 0.444121 + 0.529283i
\(353\) 2.35639e7 4.08138e7i 0.535701 0.927861i −0.463428 0.886134i \(-0.653381\pi\)
0.999129 0.0417264i \(-0.0132858\pi\)
\(354\) 4.26311e7 2.46131e7i 0.960985 0.554825i
\(355\) −4.83623e6 + 1.32874e7i −0.108099 + 0.297000i
\(356\) 9.60692e7 + 1.69396e7i 2.12929 + 0.375451i
\(357\) −2.42806e7 + 4.28133e6i −0.533649 + 0.0940967i
\(358\) −7.94761e7 + 2.89269e7i −1.73216 + 0.630454i
\(359\) 2.08256e7 + 1.74748e7i 0.450105 + 0.377683i 0.839475 0.543398i \(-0.182863\pi\)
−0.389370 + 0.921082i \(0.627307\pi\)
\(360\) 2.45367e7i 0.525906i
\(361\) 2.10952e7 4.20512e7i 0.448397 0.893834i
\(362\) 5.61736e7 1.18415
\(363\) −102149. + 121737.i −0.00213558 + 0.00254509i
\(364\) −1.44164e7 3.96087e7i −0.298918 0.821271i
\(365\) 5.58633e6 + 3.16817e7i 0.114881 + 0.651522i
\(366\) −6.44636e6 + 3.65591e7i −0.131484 + 0.745680i
\(367\) 2.91355e6 + 1.06044e6i 0.0589418 + 0.0214531i 0.371323 0.928504i \(-0.378904\pi\)
−0.312381 + 0.949957i \(0.601127\pi\)
\(368\) −2.51645e6 4.35862e6i −0.0504946 0.0874593i
\(369\) 3.02468e7 + 1.74630e7i 0.602004 + 0.347567i
\(370\) −5.70776e7 + 4.78938e7i −1.12684 + 0.945527i
\(371\) 7.96143e6 + 9.48806e6i 0.155908 + 0.185804i
\(372\) 8.09516e6 1.40212e7i 0.157252 0.272369i
\(373\) −5.13480e7 + 2.96458e7i −0.989457 + 0.571264i −0.905112 0.425173i \(-0.860213\pi\)
−0.0843453 + 0.996437i \(0.526880\pi\)
\(374\) 3.75605e7 1.03197e8i 0.717987 1.97265i
\(375\) −2.51164e7 4.42870e6i −0.476281 0.0839812i
\(376\) −6.66336e6 + 1.17493e6i −0.125352 + 0.0221029i
\(377\) −4.49209e7 + 1.63499e7i −0.838348 + 0.305134i
\(378\) 5.14901e7 + 4.32053e7i 0.953340 + 0.799948i
\(379\) 8.40327e7i 1.54359i −0.635874 0.771793i \(-0.719360\pi\)
0.635874 0.771793i \(-0.280640\pi\)
\(380\) −4.61680e7 + 2.84912e7i −0.841376 + 0.519230i
\(381\) −2.10678e7 −0.380928
\(382\) −9.71171e7 + 1.15740e8i −1.74223 + 2.07631i
\(383\) −2.31384e7 6.35722e7i −0.411848 1.13154i −0.956207 0.292690i \(-0.905450\pi\)
0.544360 0.838852i \(-0.316773\pi\)
\(384\) −9.06316e6 5.13997e7i −0.160061 0.907752i
\(385\) 4.68219e6 2.65540e7i 0.0820477 0.465316i
\(386\) 3.91594e7 + 1.42528e7i 0.680885 + 0.247822i
\(387\) −3.74292e7 6.48293e7i −0.645770 1.11851i
\(388\) −1.92876e7 1.11357e7i −0.330204 0.190644i
\(389\) 9.97735e6 8.37199e6i 0.169499 0.142226i −0.554092 0.832455i \(-0.686935\pi\)
0.723591 + 0.690229i \(0.242490\pi\)
\(390\) −1.07048e7 1.27575e7i −0.180462 0.215067i
\(391\) 1.08122e7 1.87273e7i 0.180877 0.313288i
\(392\) 1.94405e7 1.12240e7i 0.322738 0.186333i
\(393\) −5.64616e6 + 1.55127e7i −0.0930199 + 0.255570i
\(394\) −7.50904e7 1.32405e7i −1.22771 0.216478i
\(395\) −4.86886e6 + 858511.i −0.0790016 + 0.0139301i
\(396\) −7.62499e7 + 2.77527e7i −1.22787 + 0.446910i
\(397\) 4.96588e7 + 4.16687e7i 0.793643 + 0.665945i 0.946644 0.322281i \(-0.104449\pi\)
−0.153001 + 0.988226i \(0.548894\pi\)
\(398\) 1.19927e8i 1.90225i
\(399\) 3.95857e6 2.70674e7i 0.0623189 0.426116i
\(400\) −1.54303e7 −0.241099
\(401\) 4.47947e6 5.33842e6i 0.0694694 0.0827904i −0.730190 0.683244i \(-0.760569\pi\)
0.799660 + 0.600453i \(0.205013\pi\)
\(402\) 3.29382e7 + 9.04971e7i 0.507017 + 1.39302i
\(403\) 2.32754e6 + 1.32001e7i 0.0355616 + 0.201680i
\(404\) −2.52207e7 + 1.43034e8i −0.382483 + 2.16917i
\(405\) −9.86066e6 3.58899e6i −0.148437 0.0540265i
\(406\) 7.09195e7 + 1.22836e8i 1.05971 + 1.83547i
\(407\) 9.25187e7 + 5.34157e7i 1.37229 + 0.792293i
\(408\) −4.26715e7 + 3.58056e7i −0.628286 + 0.527194i
\(409\) −6.10261e7 7.27280e7i −0.891960 1.06300i −0.997644 0.0685969i \(-0.978148\pi\)
0.105684 0.994400i \(-0.466297\pi\)
\(410\) −3.02391e7 + 5.23756e7i −0.438750 + 0.759937i
\(411\) 2.05992e7 1.18930e7i 0.296706 0.171303i
\(412\) 4.51138e7 1.23949e8i 0.645087 1.77236i
\(413\) 7.60218e7 + 1.34047e7i 1.07917 + 0.190286i
\(414\) −2.46481e7 + 4.34612e6i −0.347361 + 0.0612492i
\(415\) 3.07701e7 1.11994e7i 0.430511 0.156693i
\(416\) 2.23584e7 + 1.87609e7i 0.310571 + 0.260600i
\(417\) 2.94912e7i 0.406710i
\(418\) 9.55953e7 + 7.55520e7i 1.30890 + 1.03447i
\(419\) −5.16141e7 −0.701659 −0.350829 0.936439i \(-0.614100\pi\)
−0.350829 + 0.936439i \(0.614100\pi\)
\(420\) −2.02768e7 + 2.41650e7i −0.273686 + 0.326166i
\(421\) −1.12088e7 3.07958e7i −0.150214 0.412710i 0.841648 0.540027i \(-0.181586\pi\)
−0.991862 + 0.127316i \(0.959364\pi\)
\(422\) 2.19625e6 + 1.24555e7i 0.0292243 + 0.165739i
\(423\) −969641. + 5.49911e6i −0.0128112 + 0.0726559i
\(424\) 2.62957e7 + 9.57084e6i 0.344974 + 0.125560i
\(425\) −3.31490e7 5.74157e7i −0.431821 0.747935i
\(426\) −3.21767e7 1.85772e7i −0.416210 0.240299i
\(427\) −4.45953e7 + 3.74199e7i −0.572804 + 0.480639i
\(428\) −5.97024e7 7.11505e7i −0.761483 0.907500i
\(429\) −1.19391e7 + 2.06791e7i −0.151216 + 0.261914i
\(430\) 1.12259e8 6.48128e7i 1.41194 0.815184i
\(431\) 3.71557e7 1.02085e8i 0.464081 1.27505i −0.458309 0.888793i \(-0.651545\pi\)
0.922390 0.386260i \(-0.126233\pi\)
\(432\) 2.48189e7 + 4.37624e6i 0.307844 + 0.0542812i
\(433\) −2.73395e7 + 4.82070e6i −0.336765 + 0.0593808i −0.339474 0.940616i \(-0.610249\pi\)
0.00270851 + 0.999996i \(0.499138\pi\)
\(434\) 3.73720e7 1.36023e7i 0.457169 0.166396i
\(435\) 2.74059e7 + 2.29963e7i 0.332948 + 0.279376i
\(436\) 2.15914e8i 2.60509i
\(437\) 1.59542e7 + 1.79195e7i 0.191175 + 0.214724i
\(438\) −8.45301e7 −1.00598
\(439\) 3.53295e7 4.21041e7i 0.417585 0.497658i −0.515713 0.856761i \(-0.672473\pi\)
0.933298 + 0.359103i \(0.116917\pi\)
\(440\) −2.08356e7 5.72452e7i −0.244595 0.672019i
\(441\) −3.21696e6 1.82443e7i −0.0375086 0.212722i
\(442\) 1.84704e7 1.04751e8i 0.213899 1.21308i
\(443\) −5.31314e7 1.93382e7i −0.611139 0.222436i 0.0178626 0.999840i \(-0.494314\pi\)
−0.629002 + 0.777404i \(0.716536\pi\)
\(444\) −6.24918e7 1.08239e8i −0.713960 1.23662i
\(445\) 5.23434e7 + 3.02205e7i 0.593994 + 0.342943i
\(446\) 1.02594e8 8.60864e7i 1.15642 0.970354i
\(447\) −2.58040e7 3.07521e7i −0.288912 0.344312i
\(448\) 5.65810e7 9.80013e7i 0.629270 1.08993i
\(449\) −9.25365e7 + 5.34260e7i −1.02229 + 0.590219i −0.914766 0.403983i \(-0.867625\pi\)
−0.107524 + 0.994203i \(0.534292\pi\)
\(450\) −2.62446e7 + 7.21063e7i −0.288006 + 0.791290i
\(451\) 8.53959e7 + 1.50576e7i 0.930910 + 0.164144i
\(452\) 2.93257e7 5.17091e6i 0.317565 0.0559953i
\(453\) 3.02015e7 1.09925e7i 0.324889 0.118250i
\(454\) 4.72740e7 + 3.96676e7i 0.505190 + 0.423905i
\(455\) 2.61158e7i 0.277249i
\(456\) −2.28314e7 5.74323e7i −0.240789 0.605706i
\(457\) −1.05932e8 −1.10988 −0.554942 0.831889i \(-0.687259\pi\)
−0.554942 + 0.831889i \(0.687259\pi\)
\(458\) −1.03474e8 + 1.23315e8i −1.07705 + 1.28357i
\(459\) 3.70346e7 + 1.01752e8i 0.382974 + 1.05221i
\(460\) −4.80439e6 2.72470e7i −0.0493588 0.279928i
\(461\) −6.80612e6 + 3.85994e7i −0.0694699 + 0.393984i 0.930169 + 0.367130i \(0.119660\pi\)
−0.999639 + 0.0268531i \(0.991451\pi\)
\(462\) 6.65763e7 + 2.42318e7i 0.675139 + 0.245731i
\(463\) 5.18256e7 + 8.97645e7i 0.522157 + 0.904403i 0.999668 + 0.0257767i \(0.00820588\pi\)
−0.477511 + 0.878626i \(0.658461\pi\)
\(464\) 4.60562e7 + 2.65905e7i 0.461035 + 0.266179i
\(465\) 7.68437e6 6.44795e6i 0.0764274 0.0641302i
\(466\) 2.61189e7 + 3.11273e7i 0.258106 + 0.307599i
\(467\) 1.45171e6 2.51444e6i 0.0142538 0.0246883i −0.858811 0.512293i \(-0.828796\pi\)
0.873064 + 0.487605i \(0.162129\pi\)
\(468\) −6.80627e7 + 3.92960e7i −0.664006 + 0.383364i
\(469\) −5.16525e7 + 1.41914e8i −0.500695 + 1.37565i
\(470\) −9.52231e6 1.67904e6i −0.0917168 0.0161721i
\(471\) 8.45278e7 1.49045e7i 0.808979 0.142645i
\(472\) 1.63888e8 5.96504e7i 1.55855 0.567267i
\(473\) −1.42374e8 1.19466e8i −1.34539 1.12892i
\(474\) 1.29906e7i 0.121982i
\(475\) 7.20356e7 1.48910e7i 0.672150 0.138945i
\(476\) −2.01477e8 −1.86812
\(477\) 1.48445e7 1.76910e7i 0.136776 0.163003i
\(478\) −9.40468e7 2.58391e8i −0.861113 2.36589i
\(479\) 2.31675e7 + 1.31389e8i 0.210801 + 1.19551i 0.888046 + 0.459754i \(0.152063\pi\)
−0.677245 + 0.735758i \(0.736826\pi\)
\(480\) 3.79302e6 2.15113e7i 0.0342974 0.194510i
\(481\) 9.72322e7 + 3.53896e7i 0.873725 + 0.318010i
\(482\) 3.76506e7 + 6.52128e7i 0.336226 + 0.582360i
\(483\) 1.20817e7 + 6.97537e6i 0.107223 + 0.0619051i
\(484\) −994806. + 834742.i −0.00877410 + 0.00736234i
\(485\) −8.86980e6 1.05706e7i −0.0777479 0.0926563i
\(486\) 9.87230e7 1.70993e8i 0.860022 1.48960i
\(487\) −4.67579e7 + 2.69957e7i −0.404826 + 0.233726i −0.688564 0.725175i \(-0.741759\pi\)
0.283738 + 0.958902i \(0.408425\pi\)
\(488\) −4.49844e7 + 1.23594e8i −0.387082 + 1.06350i
\(489\) −4.92804e7 8.68947e6i −0.421452 0.0743133i
\(490\) 3.15920e7 5.57053e6i 0.268528 0.0473487i
\(491\) 2.46005e7 8.95385e6i 0.207826 0.0756424i −0.236010 0.971751i \(-0.575840\pi\)
0.443835 + 0.896108i \(0.353617\pi\)
\(492\) −7.77130e7 6.52090e7i −0.652527 0.547535i
\(493\) 2.28498e8i 1.90696i
\(494\) 1.03890e8 + 5.59867e7i 0.861772 + 0.464413i
\(495\) −5.02750e7 −0.414512
\(496\) 9.58493e6 1.14229e7i 0.0785496 0.0936118i
\(497\) −1.99275e7 5.47504e7i −0.162324 0.445983i
\(498\) 1.49406e7 + 8.47323e7i 0.120971 + 0.686059i
\(499\) −2.13370e7 + 1.21008e8i −0.171725 + 0.973898i 0.770132 + 0.637884i \(0.220190\pi\)
−0.941857 + 0.336014i \(0.890921\pi\)
\(500\) −1.95843e8 7.12810e7i −1.56674 0.570248i
\(501\) 188784. + 326983.i 0.00150125 + 0.00260023i
\(502\) −2.82580e8 1.63148e8i −2.23373 1.28964i
\(503\) 1.93548e7 1.62406e7i 0.152084 0.127614i −0.563571 0.826068i \(-0.690573\pi\)
0.715655 + 0.698454i \(0.246128\pi\)
\(504\) 6.49874e7 + 7.74490e7i 0.507619 + 0.604957i
\(505\) −4.49941e7 + 7.79320e7i −0.349366 + 0.605120i
\(506\) −5.38145e7 + 3.10698e7i −0.415382 + 0.239821i
\(507\) 1.49156e7 4.09802e7i 0.114450 0.314449i
\(508\) −1.69545e8 2.98954e7i −1.29329 0.228041i
\(509\) −1.72686e7 + 3.04492e6i −0.130949 + 0.0230899i −0.238739 0.971084i \(-0.576734\pi\)
0.107789 + 0.994174i \(0.465623\pi\)
\(510\) −7.48029e7 + 2.72260e7i −0.563908 + 0.205246i
\(511\) −1.01545e8 8.52060e7i −0.761016 0.638568i
\(512\) 9.24806e7i 0.689035i
\(513\) −1.20089e8 + 3.52126e6i −0.889509 + 0.0260823i
\(514\) 2.51393e8 1.85125
\(515\) 5.25320e7 6.26052e7i 0.384594 0.458341i
\(516\) 7.43676e7 + 2.04323e8i 0.541296 + 1.48720i
\(517\) 2.40740e6 + 1.36530e7i 0.0174211 + 0.0988002i
\(518\) 5.33124e7 3.02349e8i 0.383565 2.17530i
\(519\) 1.00944e8 + 3.67404e7i 0.722065 + 0.262810i
\(520\) −2.95018e7 5.10986e7i −0.209816 0.363412i
\(521\) 4.67496e7 + 2.69909e7i 0.330571 + 0.190855i 0.656095 0.754679i \(-0.272207\pi\)
−0.325523 + 0.945534i \(0.605540\pi\)
\(522\) 2.02593e8 1.69995e8i 1.42434 1.19516i
\(523\) −2.65317e7 3.16193e7i −0.185464 0.221028i 0.665299 0.746577i \(-0.268304\pi\)
−0.850763 + 0.525550i \(0.823860\pi\)
\(524\) −6.74510e7 + 1.16828e8i −0.468807 + 0.811998i
\(525\) 3.70411e7 2.13857e7i 0.255980 0.147790i
\(526\) 5.93992e6 1.63198e7i 0.0408154 0.112139i
\(527\) 6.30954e7 + 1.11254e7i 0.431088 + 0.0760125i
\(528\) 2.61605e7 4.61281e6i 0.177723 0.0313374i
\(529\) 1.27610e8 4.64464e7i 0.862023 0.313751i
\(530\) 3.06338e7 + 2.57048e7i 0.205766 + 0.172658i
\(531\) 1.43933e8i 0.961339i
\(532\) 7.02661e7 2.12211e8i 0.466671 1.40940i
\(533\) 8.39868e7 0.554663
\(534\) −1.02083e8 + 1.21658e8i −0.670394 + 0.798945i
\(535\) −1.96822e7 5.40765e7i −0.128532 0.353140i
\(536\) 5.92495e7 + 3.36021e8i 0.384761 + 2.18209i
\(537\) 1.52637e7 8.65650e7i 0.0985685 0.559010i
\(538\) −3.50427e8 1.27545e8i −2.25035 0.819062i
\(539\) −2.29977e7 3.98331e7i −0.146865 0.254377i
\(540\) 1.19980e8 + 6.92707e7i 0.761955 + 0.439915i
\(541\) −9.73194e7 + 8.16607e7i −0.614621 + 0.515729i −0.896108 0.443837i \(-0.853617\pi\)
0.281486 + 0.959565i \(0.409173\pi\)
\(542\) 2.84026e8 + 3.38489e8i 1.78386 + 2.12592i
\(543\) −2.91905e7 + 5.05595e7i −0.182323 + 0.315794i
\(544\) 1.20820e8 6.97553e7i 0.750483 0.433292i
\(545\) −4.57543e7 + 1.25709e8i −0.282646 + 0.776563i
\(546\) 6.75788e7 + 1.19160e7i 0.415176 + 0.0732067i
\(547\) 2.85704e8 5.03773e7i 1.74564 0.307803i 0.792396 0.610007i \(-0.208834\pi\)
0.953243 + 0.302204i \(0.0977224\pi\)
\(548\) 1.82651e8 6.64796e7i 1.10989 0.403968i
\(549\) 8.31502e7 + 6.97713e7i 0.502512 + 0.421657i
\(550\) 1.90513e8i 1.14508i
\(551\) −2.40672e8 7.96899e7i −1.43870 0.476374i
\(552\) 3.15190e7 0.187394
\(553\) 1.30945e7 1.56054e7i 0.0774308 0.0922784i
\(554\) 1.15395e8 + 3.17046e8i 0.678671 + 1.86463i
\(555\) −1.34469e7 7.62611e7i −0.0786580 0.446092i
\(556\) 4.18484e7 2.37334e8i 0.243475 1.38082i
\(557\) 3.11559e7 + 1.13398e7i 0.180291 + 0.0656206i 0.430588 0.902548i \(-0.358306\pi\)
−0.250297 + 0.968169i \(0.580528\pi\)
\(558\) −3.70769e7 6.42191e7i −0.213403 0.369625i
\(559\) −1.55896e8 9.00064e7i −0.892480 0.515274i
\(560\) −2.22563e7 + 1.86752e7i −0.126733 + 0.106341i
\(561\) 7.33647e7 + 8.74327e7i 0.415527 + 0.495205i
\(562\) −2.10755e8 + 3.65038e8i −1.18732 + 2.05650i
\(563\) 4.23500e7 2.44508e7i 0.237317 0.137015i −0.376626 0.926365i \(-0.622916\pi\)
0.613943 + 0.789350i \(0.289583\pi\)
\(564\) 5.54733e6 1.52412e7i 0.0309205 0.0849534i
\(565\) 1.81697e7 + 3.20380e6i 0.100740 + 0.0177632i
\(566\) 1.17964e8 2.08002e7i 0.650579 0.114715i
\(567\) 4.06305e7 1.47883e7i 0.222896 0.0811276i
\(568\) −1.00839e8 8.46144e7i −0.550282 0.461742i
\(569\) 1.13875e8i 0.618146i −0.951038 0.309073i \(-0.899981\pi\)
0.951038 0.309073i \(-0.100019\pi\)
\(570\) −2.58866e6 8.82835e7i −0.0139782 0.476711i
\(571\) 1.43228e8 0.769340 0.384670 0.923054i \(-0.374315\pi\)
0.384670 + 0.923054i \(0.374315\pi\)
\(572\) −1.25425e8 + 1.49476e8i −0.670187 + 0.798697i
\(573\) −5.37056e7 1.47555e8i −0.285467 0.784314i
\(574\) −4.32728e7 2.45412e8i −0.228812 1.29766i
\(575\) −6.51417e6 + 3.69437e7i −0.0342654 + 0.194329i
\(576\) −1.98272e8 7.21650e7i −1.03751 0.377624i
\(577\) −1.12259e8 1.94438e8i −0.584376 1.01217i −0.994953 0.100342i \(-0.968006\pi\)
0.410577 0.911826i \(-0.365327\pi\)
\(578\) −1.62211e8 9.36528e7i −0.840036 0.484995i
\(579\) −3.31775e7 + 2.78392e7i −0.170926 + 0.143424i
\(580\) 1.87920e8 + 2.23955e8i 0.963141 + 1.14783i
\(581\) −6.74619e7 + 1.16847e8i −0.343978 + 0.595787i
\(582\) 3.14002e7 1.81289e7i 0.159281 0.0919607i
\(583\) 1.96104e7 5.38791e7i 0.0989648 0.271904i
\(584\) −2.94937e8 5.20053e7i −1.48078 0.261101i
\(585\) −4.79545e7 + 8.45566e6i −0.239531 + 0.0422357i
\(586\) −5.03397e8 + 1.83222e8i −2.50160 + 0.910509i
\(587\) −2.34501e8 1.96770e8i −1.15939 0.972847i −0.159497 0.987198i \(-0.550987\pi\)
−0.999897 + 0.0143511i \(0.995432\pi\)
\(588\) 5.38106e7i 0.264689i
\(589\) −3.37230e7 + 6.25770e7i −0.165037 + 0.306245i
\(590\) 2.49236e8 1.21354
\(591\) 5.09378e7 6.07054e7i 0.246762 0.294079i
\(592\) −3.93705e7 1.08169e8i −0.189760 0.521362i
\(593\) −3.61934e7 2.05263e8i −0.173566 0.984344i −0.939786 0.341765i \(-0.888975\pi\)
0.766219 0.642579i \(-0.222136\pi\)
\(594\) 5.40320e7 3.06431e8i 0.257805 1.46209i
\(595\) −1.17303e8 4.26948e7i −0.556876 0.202686i
\(596\) −1.64024e8 2.84097e8i −0.774761 1.34193i
\(597\) 1.07941e8 + 6.23199e7i 0.507299 + 0.292889i
\(598\) −4.61050e7 + 3.86867e7i −0.215598 + 0.180908i
\(599\) 1.18860e8 + 1.41652e8i 0.553039 + 0.659086i 0.968058 0.250727i \(-0.0806696\pi\)
−0.415019 + 0.909813i \(0.636225\pi\)
\(600\) 4.83169e7 8.36873e7i 0.223689 0.387441i
\(601\) 2.16095e8 1.24763e8i 0.995456 0.574727i 0.0885552 0.996071i \(-0.471775\pi\)
0.906901 + 0.421345i \(0.138442\pi\)
\(602\) −1.82679e8 + 5.01906e8i −0.837335 + 2.30056i
\(603\) 2.77310e8 + 4.88972e7i 1.26477 + 0.223014i
\(604\) 2.58649e8 4.56068e7i 1.17382 0.206976i
\(605\) −756082. + 275191.i −0.00341431 + 0.00124271i
\(606\) −1.81132e8 1.51987e8i −0.813910 0.682952i
\(607\) 1.74256e8i 0.779152i 0.920994 + 0.389576i \(0.127378\pi\)
−0.920994 + 0.389576i \(0.872622\pi\)
\(608\) 3.13352e7 + 1.51584e8i 0.139419 + 0.674440i
\(609\) −1.47413e8 −0.652656
\(610\) −1.20817e8 + 1.43984e8i −0.532277 + 0.634343i
\(611\) 4.59256e6 + 1.26180e7i 0.0201341 + 0.0553179i
\(612\) 6.52332e7 + 3.69956e8i 0.284587 + 1.61397i
\(613\) −5.54402e7 + 3.14417e8i −0.240682 + 1.36498i 0.589628 + 0.807675i \(0.299274\pi\)
−0.830311 + 0.557301i \(0.811837\pi\)
\(614\) 1.64006e8 + 5.96934e7i 0.708526 + 0.257882i
\(615\) −3.14274e7 5.44339e7i −0.135109 0.234015i
\(616\) 2.17385e8 + 1.25507e8i 0.930011 + 0.536942i
\(617\) 8.97124e7 7.52777e7i 0.381942 0.320487i −0.431522 0.902102i \(-0.642023\pi\)
0.813464 + 0.581615i \(0.197579\pi\)
\(618\) 1.38032e8 + 1.64500e8i 0.584809 + 0.696948i
\(619\) −2.20613e8 + 3.82114e8i −0.930165 + 1.61109i −0.147129 + 0.989117i \(0.547003\pi\)
−0.783036 + 0.621976i \(0.786330\pi\)
\(620\) 7.09906e7 4.09865e7i 0.297869 0.171975i
\(621\) 2.09554e7 5.75745e7i 0.0875027 0.240412i
\(622\) −2.78916e8 4.91804e7i −1.15905 0.204372i
\(623\) −2.45261e8 + 4.32462e7i −1.01430 + 0.178848i
\(624\) 2.41772e7 8.79978e6i 0.0995067 0.0362175i
\(625\) 2.94471e7 + 2.47091e7i 0.120616 + 0.101208i
\(626\) 4.10474e8i 1.67326i
\(627\) −1.17677e8 + 4.67808e7i −0.477408 + 0.189787i
\(628\) 7.01398e8 2.83195
\(629\) 3.17915e8 3.78877e8i 1.27750 1.52246i
\(630\) 4.94154e7 + 1.35768e8i 0.197625 + 0.542969i
\(631\) 1.97169e7 + 1.11820e8i 0.0784785 + 0.445074i 0.998574 + 0.0533803i \(0.0169995\pi\)
−0.920096 + 0.391694i \(0.871889\pi\)
\(632\) 7.99221e6 4.53261e7i 0.0316603 0.179555i
\(633\) −1.23520e7 4.49576e6i −0.0486997 0.0177252i
\(634\) 1.40309e8 + 2.43021e8i 0.550575 + 0.953623i
\(635\) −9.23770e7 5.33339e7i −0.360780 0.208297i
\(636\) −5.13858e7 + 4.31178e7i −0.199743 + 0.167604i
\(637\) −2.86356e7 3.41266e7i −0.110787 0.132031i
\(638\) 3.28305e8 5.68641e8i 1.26420 2.18966i
\(639\) −9.40819e7 + 5.43182e7i −0.360581 + 0.208182i
\(640\) 9.03807e7 2.48319e8i 0.344775 0.947262i
\(641\) −1.27225e8 2.24333e7i −0.483058 0.0851762i −0.0731845 0.997318i \(-0.523316\pi\)
−0.409874 + 0.912142i \(0.634427\pi\)
\(642\) 1.48912e8 2.62572e7i 0.562761 0.0992300i
\(643\) 3.64321e8 1.32602e8i 1.37041 0.498790i 0.451156 0.892445i \(-0.351012\pi\)
0.919258 + 0.393655i \(0.128790\pi\)
\(644\) 8.73309e7 + 7.32793e7i 0.326972 + 0.274362i
\(645\) 1.34720e8i 0.502056i
\(646\) 4.21315e8 3.75108e8i 1.56282 1.39142i
\(647\) −5.05023e8 −1.86465 −0.932326 0.361618i \(-0.882225\pi\)
−0.932326 + 0.361618i \(0.882225\pi\)
\(648\) 6.27927e7 7.48334e7i 0.230772 0.275024i
\(649\) −1.22222e8 3.35802e8i −0.447111 1.22843i
\(650\) 3.20421e7 + 1.81720e8i 0.116676 + 0.661701i
\(651\) −7.17745e6 + 4.07054e7i −0.0260152 + 0.147540i
\(652\) −3.84260e8 1.39859e8i −1.38638 0.504601i
\(653\) −2.23614e7 3.87310e7i −0.0803080 0.139098i 0.823074 0.567934i \(-0.192257\pi\)
−0.903382 + 0.428836i \(0.858924\pi\)
\(654\) −3.04415e8 1.75754e8i −1.08826 0.628307i
\(655\) −6.40281e7 + 5.37260e7i −0.227849 + 0.191188i
\(656\) −6.00583e7 7.15747e7i −0.212746 0.253541i
\(657\) −1.23579e8 + 2.14046e8i −0.435763 + 0.754763i
\(658\) 3.45038e7 1.99208e7i 0.121113 0.0699245i
\(659\) −1.13058e8 + 3.10624e8i −0.395043 + 1.08537i 0.569625 + 0.821904i \(0.307088\pi\)
−0.964668 + 0.263467i \(0.915134\pi\)
\(660\) 1.43812e8 + 2.53579e7i 0.500223 + 0.0882028i
\(661\) 2.21412e8 3.90408e7i 0.766648 0.135181i 0.223370 0.974734i \(-0.428294\pi\)
0.543278 + 0.839553i \(0.317183\pi\)
\(662\) −1.37667e8 + 5.01068e7i −0.474523 + 0.172712i
\(663\) 8.46836e7 + 7.10579e7i 0.290575 + 0.243822i
\(664\) 3.04834e8i 1.04126i
\(665\) 8.58796e7 1.08663e8i 0.292028 0.369501i
\(666\) −5.72442e8 −1.93780
\(667\) 8.31072e7 9.90433e7i 0.280066 0.333770i
\(668\) 1.05527e6 + 2.89933e6i 0.00354025 + 0.00972675i
\(669\) 2.41701e7 + 1.37075e8i 0.0807234 + 0.457805i
\(670\) −8.46709e7 + 4.80192e8i −0.281520 + 1.59658i
\(671\) 2.53240e8 + 9.21719e7i 0.838233 + 0.305092i
\(672\) 4.50019e7 + 7.79456e7i 0.148294 + 0.256852i
\(673\) −4.78978e7 2.76538e7i −0.157134 0.0907214i 0.419371 0.907815i \(-0.362251\pi\)
−0.576505 + 0.817093i \(0.695584\pi\)
\(674\) 6.03167e8 5.06117e8i 1.96996 1.65300i
\(675\) −1.20745e8 1.43898e8i −0.392606 0.467890i
\(676\) 1.78186e8 3.08628e8i 0.576812 0.999068i
\(677\) −1.17595e8 + 6.78933e7i −0.378985 + 0.218807i −0.677376 0.735637i \(-0.736883\pi\)
0.298392 + 0.954443i \(0.403550\pi\)
\(678\) −1.65807e7 + 4.55551e7i −0.0532002 + 0.146166i
\(679\) 5.59943e7 + 9.87330e6i 0.178869 + 0.0315394i
\(680\) −2.77747e8 + 4.89744e7i −0.883331 + 0.155755i
\(681\) −6.02690e7 + 2.19361e7i −0.190833 + 0.0694574i
\(682\) −1.41034e8 1.18342e8i −0.444603 0.373066i
\(683\) 3.23265e8i 1.01460i 0.861768 + 0.507302i \(0.169357\pi\)
−0.861768 + 0.507302i \(0.830643\pi\)
\(684\) −4.12417e8 6.03154e7i −1.28875 0.188478i
\(685\) 1.20430e8 0.374683
\(686\) −3.75165e8 + 4.47104e8i −1.16212 + 1.38496i
\(687\) −5.72210e7 1.57213e8i −0.176476 0.484863i
\(688\) 3.47751e7 + 1.97219e8i 0.106783 + 0.605598i
\(689\) 9.64340e6 5.46904e7i 0.0294831 0.167207i
\(690\) 4.23260e7 + 1.54054e7i 0.128843 + 0.0468949i
\(691\) 4.55480e7 + 7.88915e7i 0.138050 + 0.239109i 0.926758 0.375658i \(-0.122583\pi\)
−0.788709 + 0.614767i \(0.789250\pi\)
\(692\) 7.60221e8 + 4.38914e8i 2.29415 + 1.32453i
\(693\) 1.58691e8 1.33158e8i 0.476818 0.400098i
\(694\) −6.64758e8 7.92228e8i −1.98877 2.37013i
\(695\) 7.46582e7 1.29312e8i 0.222394 0.385198i
\(696\) −2.88431e8 + 1.66526e8i −0.855488 + 0.493916i
\(697\) 1.37304e8 3.77239e8i 0.405494 1.11408i
\(698\) −1.63275e8 2.87898e7i −0.480124 0.0846589i
\(699\) −4.15891e7 + 7.33328e6i −0.121772 + 0.0214717i
\(700\) 3.28440e8 1.19542e8i 0.957551 0.348520i
\(701\) 2.62600e8 + 2.20347e8i 0.762326 + 0.639667i 0.938731 0.344650i \(-0.112003\pi\)
−0.176406 + 0.984318i \(0.556447\pi\)
\(702\) 3.01374e8i 0.871153i
\(703\) 2.88188e8 + 4.66988e8i 0.829487 + 1.34413i
\(704\) −5.23856e8 −1.50139
\(705\) 6.45949e6 7.69813e6i 0.0184345 0.0219694i
\(706\) 2.14436e8 + 5.89159e8i 0.609374 + 1.67424i
\(707\) −6.43875e7 3.65160e8i −0.182198 1.03330i
\(708\) −7.25976e7 + 4.11721e8i −0.204561 + 1.16012i
\(709\) 1.88045e8 + 6.84429e7i 0.527623 + 0.192039i 0.592077 0.805882i \(-0.298308\pi\)
−0.0644537 + 0.997921i \(0.520530\pi\)
\(710\) −9.40580e7 1.62913e8i −0.262797 0.455178i
\(711\) −3.28947e7 1.89918e7i −0.0915202 0.0528392i
\(712\) −4.31029e8 + 3.61676e8i −1.19417 + 1.00203i
\(713\) −2.33025e7 2.77709e7i −0.0642886 0.0766162i
\(714\) 1.64002e8 2.84059e8i 0.450561 0.780395i
\(715\) −1.04700e8 + 6.04484e7i −0.286436 + 0.165374i
\(716\) 2.45674e8 6.74983e8i 0.669298 1.83888i
\(717\) 2.81439e8 + 4.96252e7i 0.763530 + 0.134631i
\(718\) −3.56176e8 + 6.28035e7i −0.962258 + 0.169672i
\(719\) 1.15293e8 4.19631e7i 0.310181 0.112897i −0.182239 0.983254i \(-0.558335\pi\)
0.492420 + 0.870358i \(0.336112\pi\)
\(720\) 4.14979e7 + 3.48209e7i 0.111181 + 0.0932916i
\(721\) 3.36746e8i 0.898456i
\(722\) 2.48157e8 + 5.74582e8i 0.659349 + 1.52665i
\(723\) −7.82605e7 −0.207075
\(724\) −3.06659e8 + 3.65462e8i −0.808054 + 0.963001i
\(725\) −1.35575e8 3.72489e8i −0.355767 0.977461i
\(726\) −367120. 2.08204e6i −0.000959398 0.00544101i
\(727\) 1.92196e7 1.09000e8i 0.0500197 0.283676i −0.949530 0.313676i \(-0.898440\pi\)
0.999550 + 0.0299997i \(0.00955063\pi\)
\(728\) 2.28460e8 + 8.31527e7i 0.592129 + 0.215517i
\(729\) 4.79649e7 + 8.30776e7i 0.123806 + 0.214438i
\(730\) −3.70644e8 2.13991e8i −0.952771 0.550083i
\(731\) −6.59139e8 + 5.53083e8i −1.68743 + 1.41592i
\(732\) −2.02660e8 2.41521e8i −0.516696 0.615774i
\(733\) 8.29524e7 1.43678e8i 0.210628 0.364819i −0.741283 0.671193i \(-0.765782\pi\)
0.951911 + 0.306374i \(0.0991157\pi\)
\(734\) −3.57221e7 + 2.06241e7i −0.0903334 + 0.0521540i
\(735\) −1.14030e7 + 3.13294e7i −0.0287181 + 0.0789024i
\(736\) −7.77405e7 1.37077e7i −0.194991 0.0343821i
\(737\) 6.88498e8 1.21401e8i 1.71989 0.303263i
\(738\) −4.36620e8 + 1.58917e8i −1.08626 + 0.395367i
\(739\) −2.16525e8 1.81686e8i −0.536507 0.450183i 0.333834 0.942632i \(-0.391657\pi\)
−0.870341 + 0.492449i \(0.836102\pi\)
\(740\) 6.32802e8i 1.56161i
\(741\) −1.04378e8 + 6.44135e7i −0.256539 + 0.158315i
\(742\) −1.64776e8 −0.403350
\(743\) 8.09011e7 9.64142e7i 0.197237 0.235058i −0.658357 0.752706i \(-0.728748\pi\)
0.855593 + 0.517649i \(0.173193\pi\)
\(744\) 3.19394e7 + 8.77528e7i 0.0775547 + 0.213080i
\(745\) −3.52944e7 2.00164e8i −0.0853565 0.484081i
\(746\) 1.36972e8 7.76809e8i 0.329926 1.87110i
\(747\) 2.36400e8 + 8.60427e7i 0.567135 + 0.206420i
\(748\) 4.66344e8 + 8.07731e8i 1.11430 + 1.93002i
\(749\) 2.05352e8 + 1.18560e8i 0.488713 + 0.282159i
\(750\) 2.59914e8 2.18094e8i 0.616093 0.516963i
\(751\) −2.64334e8 3.15022e8i −0.624071 0.743739i 0.357694 0.933839i \(-0.383563\pi\)
−0.981765 + 0.190100i \(0.939119\pi\)
\(752\) 7.46910e6 1.29369e7i 0.0175636 0.0304211i
\(753\) 2.93685e8 1.69559e8i 0.687854 0.397133i
\(754\) 2.17512e8 5.97610e8i 0.507423 1.39413i
\(755\) 1.60254e8 + 2.82572e7i 0.372365 + 0.0656580i
\(756\) −5.62182e8 + 9.91279e7i −1.30110 + 0.229420i
\(757\) 1.26802e8 4.61522e7i 0.292307 0.106391i −0.191705 0.981453i \(-0.561402\pi\)
0.484011 + 0.875062i \(0.339179\pi\)
\(758\) 8.56391e8 + 7.18598e8i 1.96637 + 1.64998i
\(759\) 6.45816e7i 0.147701i
\(760\) 4.52823e7 3.09625e8i 0.103154 0.705335i
\(761\) −7.72509e8 −1.75287 −0.876435 0.481521i \(-0.840085\pi\)
−0.876435 + 0.481521i \(0.840085\pi\)
\(762\) 1.80159e8 2.14705e8i 0.407184 0.485263i
\(763\) −1.88529e8 5.17979e8i −0.424428 1.16611i
\(764\) −2.22820e8 1.26368e9i −0.499660 2.83371i