Properties

Label 43.7.h.a.3.19
Level 43
Weight 7
Character 43.3
Analytic conductor 9.892
Analytic rank 0
Dimension 252
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 3.19
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.19

$q$-expansion

\(f(q)\) \(=\) \(q+(5.75579 - 11.9520i) q^{2} +(-1.56239 - 0.117085i) q^{3} +(-69.8182 - 87.5493i) q^{4} +(36.5881 - 118.616i) q^{5} +(-10.3922 + 17.9998i) q^{6} +(348.105 - 200.979i) q^{7} +(-620.528 + 141.631i) q^{8} +(-718.430 - 108.286i) q^{9} +O(q^{10})\) \(q+(5.75579 - 11.9520i) q^{2} +(-1.56239 - 0.117085i) q^{3} +(-69.8182 - 87.5493i) q^{4} +(36.5881 - 118.616i) q^{5} +(-10.3922 + 17.9998i) q^{6} +(348.105 - 200.979i) q^{7} +(-620.528 + 141.631i) q^{8} +(-718.430 - 108.286i) q^{9} +(-1207.10 - 1120.03i) q^{10} +(-1063.89 + 1334.08i) q^{11} +(98.8326 + 144.961i) q^{12} +(-1117.09 + 1036.51i) q^{13} +(-398.480 - 5317.35i) q^{14} +(-71.0531 + 181.040i) q^{15} +(-284.105 + 1244.74i) q^{16} +(7377.33 - 2275.61i) q^{17} +(-5429.37 + 7963.42i) q^{18} +(368.191 + 2442.78i) q^{19} +(-12939.2 + 5078.28i) q^{20} +(-567.408 + 273.249i) q^{21} +(9821.42 + 20394.4i) q^{22} +(-7078.80 - 18036.5i) q^{23} +(986.090 - 148.629i) q^{24} +(178.955 + 122.009i) q^{25} +(5958.64 + 19317.4i) q^{26} +(2223.33 + 507.460i) q^{27} +(-41899.6 - 16444.4i) q^{28} +(12002.4 - 899.456i) q^{29} +(1754.83 + 1891.26i) q^{30} +(26049.7 - 17760.4i) q^{31} +(-18606.0 - 14837.8i) q^{32} +(1818.42 - 1959.79i) q^{33} +(15264.3 - 101272. i) q^{34} +(-11102.7 - 48644.2i) q^{35} +(40679.2 + 70458.4i) q^{36} +(-14981.5 - 8649.57i) q^{37} +(31315.4 + 9659.53i) q^{38} +(1866.69 - 1488.64i) q^{39} +(-5904.23 + 78786.5i) q^{40} +(82125.3 + 39549.4i) q^{41} +8354.43i q^{42} +(-14258.4 - 78218.0i) q^{43} +191077. q^{44} +(-39130.5 + 81255.2i) q^{45} +(-256317. - 19208.3i) q^{46} +(84426.0 + 105867. i) q^{47} +(589.623 - 1911.51i) q^{48} +(21960.3 - 38036.4i) q^{49} +(2488.28 - 1436.61i) q^{50} +(-11792.7 + 2691.61i) q^{51} +(168739. + 25433.3i) q^{52} +(8563.75 + 7945.99i) q^{53} +(18862.2 - 23652.4i) q^{54} +(119317. + 175006. i) q^{55} +(-187544. + 174016. i) q^{56} +(-289.244 - 3859.69i) q^{57} +(58333.0 - 148630. i) q^{58} +(21640.7 - 94813.9i) q^{59} +(20810.7 - 6419.26i) q^{60} +(143380. - 210300. i) q^{61} +(-62336.0 - 413572. i) q^{62} +(-271852. + 106694. i) q^{63} +(-358055. + 172430. i) q^{64} +(82074.2 + 170429. i) q^{65} +(-12957.0 - 33013.9i) q^{66} +(-387066. + 58340.8i) q^{67} +(-714300. - 487001. i) q^{68} +(8948.05 + 29008.9i) q^{69} +(-645301. - 147286. i) q^{70} +(285315. + 111978. i) q^{71} +(461143. - 34557.9i) q^{72} +(-67845.8 - 73120.3i) q^{73} +(-189610. + 129274. i) q^{74} +(-265.312 - 211.579i) q^{75} +(188158. - 202786. i) q^{76} +(-102225. + 678221. i) q^{77} +(-7047.94 - 30879.0i) q^{78} +(202606. + 350923. i) q^{79} +(137251. + 79242.1i) q^{80} +(502706. + 155064. i) q^{81} +(945391. - 753924. i) q^{82} +(-62113.3 + 828844. i) q^{83} +(63538.2 + 30598.4i) q^{84} -958329. i q^{85} +(-1.01693e6 - 279789. i) q^{86} -18857.8 q^{87} +(471229. - 978516. i) q^{88} +(336169. + 25192.4i) q^{89} +(745937. + 935376. i) q^{90} +(-180549. + 585326. i) q^{91} +(-1.08485e6 + 1.87902e6i) q^{92} +(-42779.4 + 24698.7i) q^{93} +(1.75126e6 - 399714. i) q^{94} +(303224. + 45703.7i) q^{95} +(27332.6 + 25361.0i) q^{96} +(92750.5 - 116305. i) q^{97} +(-328213. - 481399. i) q^{98} +(908797. - 843240. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.75579 11.9520i 0.719473 1.49400i −0.143984 0.989580i \(-0.545991\pi\)
0.863457 0.504422i \(-0.168294\pi\)
\(3\) −1.56239 0.117085i −0.0578663 0.00433648i 0.0457655 0.998952i \(-0.485427\pi\)
−0.103632 + 0.994616i \(0.533046\pi\)
\(4\) −69.8182 87.5493i −1.09091 1.36796i
\(5\) 36.5881 118.616i 0.292705 0.948927i −0.683107 0.730318i \(-0.739372\pi\)
0.975813 0.218609i \(-0.0701519\pi\)
\(6\) −10.3922 + 17.9998i −0.0481120 + 0.0833324i
\(7\) 348.105 200.979i 1.01488 0.585944i 0.102266 0.994757i \(-0.467391\pi\)
0.912618 + 0.408814i \(0.134057\pi\)
\(8\) −620.528 + 141.631i −1.21197 + 0.276624i
\(9\) −718.430 108.286i −0.985501 0.148540i
\(10\) −1207.10 1120.03i −1.20710 1.12003i
\(11\) −1063.89 + 1334.08i −0.799320 + 1.00232i 0.200424 + 0.979709i \(0.435768\pi\)
−0.999744 + 0.0226065i \(0.992804\pi\)
\(12\) 98.8326 + 144.961i 0.0571948 + 0.0838893i
\(13\) −1117.09 + 1036.51i −0.508463 + 0.471784i −0.892189 0.451662i \(-0.850831\pi\)
0.383726 + 0.923447i \(0.374641\pi\)
\(14\) −398.480 5317.35i −0.145219 1.93781i
\(15\) −71.0531 + 181.040i −0.0210528 + 0.0536416i
\(16\) −284.105 + 1244.74i −0.0693615 + 0.303892i
\(17\) 7377.33 2275.61i 1.50159 0.463180i 0.568461 0.822710i \(-0.307539\pi\)
0.933134 + 0.359530i \(0.117063\pi\)
\(18\) −5429.37 + 7963.42i −0.930961 + 1.36547i
\(19\) 368.191 + 2442.78i 0.0536799 + 0.356143i 0.999505 + 0.0314658i \(0.0100175\pi\)
−0.945825 + 0.324677i \(0.894744\pi\)
\(20\) −12939.2 + 5078.28i −1.61741 + 0.634785i
\(21\) −567.408 + 273.249i −0.0612685 + 0.0295054i
\(22\) 9821.42 + 20394.4i 0.922372 + 1.91532i
\(23\) −7078.80 18036.5i −0.581803 1.48241i −0.854054 0.520185i \(-0.825863\pi\)
0.272250 0.962226i \(-0.412232\pi\)
\(24\) 986.090 148.629i 0.0713317 0.0107515i
\(25\) 178.955 + 122.009i 0.0114531 + 0.00780860i
\(26\) 5958.64 + 19317.4i 0.339021 + 1.09908i
\(27\) 2223.33 + 507.460i 0.112957 + 0.0257817i
\(28\) −41899.6 16444.4i −1.90869 0.749107i
\(29\) 12002.4 899.456i 0.492124 0.0368796i 0.173643 0.984809i \(-0.444446\pi\)
0.318481 + 0.947929i \(0.396827\pi\)
\(30\) 1754.83 + 1891.26i 0.0649937 + 0.0700465i
\(31\) 26049.7 17760.4i 0.874417 0.596167i −0.0407829 0.999168i \(-0.512985\pi\)
0.915200 + 0.403001i \(0.132033\pi\)
\(32\) −18606.0 14837.8i −0.567812 0.452815i
\(33\) 1818.42 1959.79i 0.0506002 0.0545341i
\(34\) 15264.3 101272.i 0.388365 2.57663i
\(35\) −11102.7 48644.2i −0.258956 1.13456i
\(36\) 40679.2 + 70458.4i 0.871896 + 1.51017i
\(37\) −14981.5 8649.57i −0.295767 0.170761i 0.344773 0.938686i \(-0.387956\pi\)
−0.640540 + 0.767925i \(0.721289\pi\)
\(38\) 31315.4 + 9659.53i 0.570699 + 0.176037i
\(39\) 1866.69 1488.64i 0.0314687 0.0250955i
\(40\) −5904.23 + 78786.5i −0.0922536 + 1.23104i
\(41\) 82125.3 + 39549.4i 1.19159 + 0.573837i 0.921266 0.388933i \(-0.127156\pi\)
0.270320 + 0.962771i \(0.412871\pi\)
\(42\) 8354.43i 0.112764i
\(43\) −14258.4 78218.0i −0.179335 0.983788i
\(44\) 191077. 2.24311
\(45\) −39130.5 + 81255.2i −0.429415 + 0.891690i
\(46\) −256317. 19208.3i −2.63332 0.197340i
\(47\) 84426.0 + 105867.i 0.813173 + 1.01969i 0.999309 + 0.0371625i \(0.0118319\pi\)
−0.186136 + 0.982524i \(0.559597\pi\)
\(48\) 589.623 1911.51i 0.00533151 0.0172843i
\(49\) 21960.3 38036.4i 0.186660 0.323304i
\(50\) 2488.28 1436.61i 0.0199063 0.0114929i
\(51\) −11792.7 + 2691.61i −0.0889003 + 0.0202909i
\(52\) 168739. + 25433.3i 1.20007 + 0.180881i
\(53\) 8563.75 + 7945.99i 0.0575223 + 0.0533729i 0.708410 0.705801i \(-0.249413\pi\)
−0.650888 + 0.759174i \(0.725603\pi\)
\(54\) 18862.2 23652.4i 0.119787 0.150208i
\(55\) 119317. + 175006.i 0.717159 + 1.05188i
\(56\) −187544. + 174016.i −1.06792 + 0.990887i
\(57\) −289.244 3859.69i −0.00156185 0.0208415i
\(58\) 58333.0 148630.i 0.298972 0.761768i
\(59\) 21640.7 94813.9i 0.105369 0.461653i −0.894524 0.447021i \(-0.852485\pi\)
0.999893 0.0146326i \(-0.00465788\pi\)
\(60\) 20810.7 6419.26i 0.0963460 0.0297188i
\(61\) 143380. 210300.i 0.631684 0.926510i −0.368311 0.929703i \(-0.620064\pi\)
0.999995 + 0.00319233i \(0.00101615\pi\)
\(62\) −62336.0 413572.i −0.261555 1.73531i
\(63\) −271852. + 106694.i −1.08721 + 0.426697i
\(64\) −358055. + 172430.i −1.36587 + 0.657768i
\(65\) 82074.2 + 170429.i 0.298859 + 0.620588i
\(66\) −12957.0 33013.9i −0.0450685 0.114833i
\(67\) −387066. + 58340.8i −1.28695 + 0.193976i −0.756641 0.653831i \(-0.773161\pi\)
−0.530306 + 0.847807i \(0.677923\pi\)
\(68\) −714300. 487001.i −2.27171 1.54883i
\(69\) 8948.05 + 29008.9i 0.0272384 + 0.0883046i
\(70\) −645301. 147286.i −1.88135 0.429405i
\(71\) 285315. + 111978.i 0.797168 + 0.312866i 0.728740 0.684790i \(-0.240106\pi\)
0.0684284 + 0.997656i \(0.478202\pi\)
\(72\) 461143. 34557.9i 1.23549 0.0925869i
\(73\) −67845.8 73120.3i −0.174403 0.187962i 0.639801 0.768541i \(-0.279017\pi\)
−0.814204 + 0.580579i \(0.802826\pi\)
\(74\) −189610. + 129274.i −0.467914 + 0.319018i
\(75\) −265.312 211.579i −0.000628887 0.000501521i
\(76\) 188158. 202786.i 0.428628 0.461952i
\(77\) −102225. + 678221.i −0.223917 + 1.48559i
\(78\) −7047.94 30879.0i −0.0148518 0.0650699i
\(79\) 202606. + 350923.i 0.410932 + 0.711756i 0.994992 0.0999552i \(-0.0318699\pi\)
−0.584060 + 0.811711i \(0.698537\pi\)
\(80\) 137251. + 79242.1i 0.268069 + 0.154770i
\(81\) 502706. + 155064.i 0.945930 + 0.291781i
\(82\) 945391. 753924.i 1.71463 1.36737i
\(83\) −62113.3 + 828844.i −0.108630 + 1.44957i 0.630596 + 0.776111i \(0.282810\pi\)
−0.739226 + 0.673457i \(0.764809\pi\)
\(84\) 63538.2 + 30598.4i 0.107200 + 0.0516250i
\(85\) 958329.i 1.56048i
\(86\) −1.01693e6 279789.i −1.59881 0.439882i
\(87\) −18857.8 −0.0286373
\(88\) 471229. 978516.i 0.691486 1.43589i
\(89\) 336169. + 25192.4i 0.476856 + 0.0357354i 0.310991 0.950413i \(-0.399339\pi\)
0.165866 + 0.986148i \(0.446958\pi\)
\(90\) 745937. + 935376.i 1.02323 + 1.28309i
\(91\) −180549. + 585326.i −0.239592 + 0.776737i
\(92\) −1.08485e6 + 1.87902e6i −1.39318 + 2.41306i
\(93\) −42779.4 + 24698.7i −0.0531845 + 0.0307061i
\(94\) 1.75126e6 399714.i 2.10847 0.481244i
\(95\) 303224. + 45703.7i 0.353666 + 0.0533066i
\(96\) 27332.6 + 25361.0i 0.0308935 + 0.0286650i
\(97\) 92750.5 116305.i 0.101625 0.127434i −0.728418 0.685133i \(-0.759744\pi\)
0.830043 + 0.557699i \(0.188316\pi\)
\(98\) −328213. 481399.i −0.348720 0.511478i
\(99\) 908797. 843240.i 0.936615 0.869052i
\(100\) −1812.48 24185.8i −0.00181248 0.0241858i
\(101\) −437164. + 1.11388e6i −0.424307 + 1.08112i 0.545688 + 0.837989i \(0.316269\pi\)
−0.969994 + 0.243127i \(0.921827\pi\)
\(102\) −35706.2 + 156439.i −0.0336467 + 0.147416i
\(103\) −210121. + 64813.7i −0.192290 + 0.0593137i −0.389405 0.921067i \(-0.627319\pi\)
0.197114 + 0.980381i \(0.436843\pi\)
\(104\) 546385. 801399.i 0.485734 0.712441i
\(105\) 11651.3 + 77301.2i 0.0100648 + 0.0667757i
\(106\) 144262. 56618.6i 0.121125 0.0475380i
\(107\) −1.44364e6 + 695219.i −1.17844 + 0.567505i −0.917456 0.397838i \(-0.869761\pi\)
−0.260982 + 0.965344i \(0.584046\pi\)
\(108\) −110801. 230081.i −0.0879575 0.182646i
\(109\) −275323. 701512.i −0.212600 0.541696i 0.784300 0.620382i \(-0.213023\pi\)
−0.996899 + 0.0786867i \(0.974927\pi\)
\(110\) 2.77844e6 418783.i 2.08749 0.314638i
\(111\) 22394.2 + 15268.1i 0.0163744 + 0.0111639i
\(112\) 151269. + 490401.i 0.107670 + 0.349057i
\(113\) −665637. 151927.i −0.461320 0.105293i −0.0144564 0.999896i \(-0.504602\pi\)
−0.446863 + 0.894602i \(0.647459\pi\)
\(114\) −47795.9 18758.5i −0.0322609 0.0126615i
\(115\) −2.39841e6 + 179736.i −1.57700 + 0.118180i
\(116\) −916733. 988004.i −0.587312 0.632972i
\(117\) 914793. 623695.i 0.571170 0.389417i
\(118\) −1.00866e6 804378.i −0.613901 0.489569i
\(119\) 2.11074e6 2.27484e6i 1.25255 1.34992i
\(120\) 18449.4 122404.i 0.0106768 0.0708356i
\(121\) −253693. 1.11150e6i −0.143203 0.627414i
\(122\) −1.68825e6 2.92413e6i −0.929728 1.61034i
\(123\) −123681. 71407.3i −0.0664642 0.0383731i
\(124\) −3.37366e6 1.04064e6i −1.76944 0.545800i
\(125\) 1.53741e6 1.22605e6i 0.787156 0.627736i
\(126\) −289514. + 3.86329e6i −0.144730 + 1.93128i
\(127\) 2.14039e6 + 1.03076e6i 1.04492 + 0.503205i 0.875943 0.482415i \(-0.160240\pi\)
0.168974 + 0.985621i \(0.445955\pi\)
\(128\) 3.74887e6i 1.78760i
\(129\) 13119.1 + 123877.i 0.00611130 + 0.0577059i
\(130\) 2.50937e6 1.14218
\(131\) 381397. 791980.i 0.169654 0.352290i −0.798755 0.601656i \(-0.794508\pi\)
0.968409 + 0.249366i \(0.0802222\pi\)
\(132\) −298537. 22372.3i −0.129801 0.00972721i
\(133\) 619117. + 776348.i 0.263159 + 0.329990i
\(134\) −1.53058e6 + 4.96201e6i −0.636123 + 2.06226i
\(135\) 141540. 245155.i 0.0575280 0.0996413i
\(136\) −4.25554e6 + 2.45694e6i −1.69176 + 0.976737i
\(137\) −4.74023e6 + 1.08193e6i −1.84348 + 0.420761i −0.994233 0.107242i \(-0.965798\pi\)
−0.849242 + 0.528003i \(0.822941\pi\)
\(138\) 398217. + 60021.6i 0.151525 + 0.0228387i
\(139\) 1.11896e6 + 1.03824e6i 0.416649 + 0.386594i 0.860453 0.509530i \(-0.170181\pi\)
−0.443804 + 0.896124i \(0.646371\pi\)
\(140\) −3.48359e6 + 4.36829e6i −1.26953 + 1.59194i
\(141\) −119511. 175290.i −0.0426335 0.0625318i
\(142\) 2.98058e6 2.76557e6i 1.04096 0.965873i
\(143\) −194321. 2.59303e6i −0.0664525 0.886747i
\(144\) 338898. 863497.i 0.113496 0.289183i
\(145\) 332456. 1.45659e6i 0.109051 0.477784i
\(146\) −1.26444e6 + 390028.i −0.406294 + 0.125325i
\(147\) −38764.1 + 56856.5i −0.0122033 + 0.0178990i
\(148\) 288718. + 1.91552e6i 0.0890611 + 0.590882i
\(149\) 5.36206e6 2.10445e6i 1.62096 0.636181i 0.630779 0.775962i \(-0.282735\pi\)
0.990182 + 0.139782i \(0.0446401\pi\)
\(150\) −4055.88 + 1953.21i −0.00120174 + 0.000578728i
\(151\) 1.15210e6 + 2.39236e6i 0.334625 + 0.694856i 0.998600 0.0528986i \(-0.0168460\pi\)
−0.663975 + 0.747755i \(0.731132\pi\)
\(152\) −574448. 1.46367e6i −0.163576 0.416785i
\(153\) −5.54652e6 + 836003.i −1.54862 + 0.233417i
\(154\) 7.51772e6 + 5.12549e6i 2.05837 + 1.40337i
\(155\) −1.15356e6 3.73973e6i −0.309773 1.00426i
\(156\) −260658. 59493.6i −0.0686591 0.0156710i
\(157\) −2.61662e6 1.02695e6i −0.676149 0.265369i 0.00232069 0.999997i \(-0.499261\pi\)
−0.678470 + 0.734628i \(0.737357\pi\)
\(158\) 5.36039e6 401706.i 1.35902 0.101844i
\(159\) −12449.6 13417.4i −0.00309715 0.00333794i
\(160\) −2.44076e6 + 1.66408e6i −0.595889 + 0.406270i
\(161\) −6.08912e6 4.85591e6i −1.45907 1.16357i
\(162\) 4.74680e6 5.11583e6i 1.11649 1.20329i
\(163\) 680953. 4.51782e6i 0.157237 1.04320i −0.761454 0.648219i \(-0.775514\pi\)
0.918690 0.394978i \(-0.129248\pi\)
\(164\) −2.27131e6 9.95128e6i −0.514927 2.25604i
\(165\) −165930. 287399.i −0.0369379 0.0639783i
\(166\) 9.54885e6 + 5.51303e6i 2.08750 + 1.20522i
\(167\) 4.48928e6 + 1.38476e6i 0.963889 + 0.297320i 0.736465 0.676475i \(-0.236493\pi\)
0.227424 + 0.973796i \(0.426970\pi\)
\(168\) 313392. 249922.i 0.0660936 0.0527079i
\(169\) −187166. + 2.49756e6i −0.0387763 + 0.517434i
\(170\) −1.14540e7 5.51594e6i −2.33136 1.12272i
\(171\) 1.79484e6i 0.358953i
\(172\) −5.85243e6 + 6.70936e6i −1.15014 + 1.31855i
\(173\) −3.07679e6 −0.594237 −0.297118 0.954841i \(-0.596026\pi\)
−0.297118 + 0.954841i \(0.596026\pi\)
\(174\) −108541. + 225388.i −0.0206038 + 0.0427842i
\(175\) 86816.4 + 6505.99i 0.0161990 + 0.00121395i
\(176\) −1.35833e6 1.70329e6i −0.249154 0.312429i
\(177\) −44912.4 + 145603.i −0.00809929 + 0.0262572i
\(178\) 2.23602e6 3.87289e6i 0.396474 0.686714i
\(179\) −7.62226e6 + 4.40071e6i −1.32900 + 0.767298i −0.985145 0.171725i \(-0.945066\pi\)
−0.343854 + 0.939023i \(0.611733\pi\)
\(180\) 9.84585e6 2.24725e6i 1.68825 0.385331i
\(181\) 6.37334e6 + 960627.i 1.07481 + 0.162002i 0.662515 0.749049i \(-0.269489\pi\)
0.412295 + 0.911050i \(0.364727\pi\)
\(182\) 5.95663e6 + 5.52694e6i 0.988066 + 0.916792i
\(183\) −248639. + 311783.i −0.0405710 + 0.0508744i
\(184\) 6.94713e6 + 1.01896e7i 1.11520 + 1.63570i
\(185\) −1.57412e6 + 1.46057e6i −0.248612 + 0.230679i
\(186\) 48970.0 + 653460.i 0.00761012 + 0.101550i
\(187\) −4.81286e6 + 1.22630e7i −0.736001 + 1.87530i
\(188\) 3.37409e6 1.47829e7i 0.507790 2.22477i
\(189\) 875941. 270192.i 0.129745 0.0400209i
\(190\) 2.29155e6 3.36108e6i 0.334093 0.490025i
\(191\) 1.46148e6 + 9.69627e6i 0.209745 + 1.39157i 0.807490 + 0.589882i \(0.200826\pi\)
−0.597744 + 0.801687i \(0.703936\pi\)
\(192\) 579610. 227480.i 0.0818902 0.0321395i
\(193\) 1.20677e7 5.81149e6i 1.67862 0.808380i 0.681558 0.731764i \(-0.261303\pi\)
0.997061 0.0766159i \(-0.0244115\pi\)
\(194\) −856232. 1.77798e6i −0.117270 0.243513i
\(195\) −108277. 275886.i −0.0146027 0.0372071i
\(196\) −4.86329e6 + 733023.i −0.645895 + 0.0973530i
\(197\) 2.39817e6 + 1.63504e6i 0.313676 + 0.213860i 0.709916 0.704286i \(-0.248733\pi\)
−0.396240 + 0.918147i \(0.629685\pi\)
\(198\) −4.84758e6 1.57155e7i −0.624495 2.02456i
\(199\) −1.31639e7 3.00458e6i −1.67042 0.381263i −0.720428 0.693530i \(-0.756055\pi\)
−0.949995 + 0.312267i \(0.898912\pi\)
\(200\) −128327. 50364.6i −0.0160409 0.00629557i
\(201\) 611579. 45831.5i 0.0753120 0.00564385i
\(202\) 1.07968e7 + 1.16362e7i 1.30991 + 1.41175i
\(203\) 3.99733e6 2.72533e6i 0.477839 0.325785i
\(204\) 1.05899e6 + 844520.i 0.124739 + 0.0994762i
\(205\) 7.69600e6 8.29432e6i 0.893313 0.962762i
\(206\) −434756. + 2.88442e6i −0.0497329 + 0.329957i
\(207\) 3.13253e6 + 1.37245e7i 0.353170 + 1.54734i
\(208\) −972818. 1.68497e6i −0.108104 0.187242i
\(209\) −3.65059e6 2.10767e6i −0.399875 0.230868i
\(210\) 990968. + 305673.i 0.107004 + 0.0330065i
\(211\) −1.13008e7 + 9.01207e6i −1.20299 + 0.959350i −0.999804 0.0197904i \(-0.993700\pi\)
−0.203183 + 0.979141i \(0.565129\pi\)
\(212\) 97760.6 1.30452e6i 0.0102602 0.136913i
\(213\) −432663. 208360.i −0.0447725 0.0215613i
\(214\) 2.12559e7i 2.16889i
\(215\) −9.79959e6 1.17058e6i −0.986035 0.117784i
\(216\) −1.45151e6 −0.144032
\(217\) 5.49859e6 1.14179e7i 0.538111 1.11740i
\(218\) −9.96918e6 747086.i −0.962254 0.0721110i
\(219\) 97440.3 + 122186.i 0.00927697 + 0.0116330i
\(220\) 6.99116e6 2.26648e7i 0.656570 2.12855i
\(221\) −5.88247e6 + 1.01887e7i −0.544983 + 0.943939i
\(222\) 311381. 179776.i 0.0284599 0.0164313i
\(223\) −8.74885e6 + 1.99687e6i −0.788926 + 0.180067i −0.597956 0.801529i \(-0.704020\pi\)
−0.190970 + 0.981596i \(0.561163\pi\)
\(224\) −9.45895e6 1.42571e6i −0.841587 0.126849i
\(225\) −115355. 107034.i −0.0101272 0.00939663i
\(226\) −5.64710e6 + 7.08124e6i −0.489215 + 0.613457i
\(227\) 3.82469e6 + 5.60979e6i 0.326978 + 0.479589i 0.954165 0.299280i \(-0.0967464\pi\)
−0.627187 + 0.778868i \(0.715794\pi\)
\(228\) −317719. + 294800.i −0.0268064 + 0.0248727i
\(229\) 104753. + 1.39783e6i 0.00872290 + 0.116399i 0.999865 0.0164032i \(-0.00522154\pi\)
−0.991143 + 0.132802i \(0.957602\pi\)
\(230\) −1.16566e7 + 2.97004e7i −0.958046 + 2.44106i
\(231\) 239125. 1.04768e6i 0.0193995 0.0849946i
\(232\) −7.32044e6 + 2.25806e6i −0.586237 + 0.180830i
\(233\) 8.39991e6 1.23204e7i 0.664059 0.973996i −0.335431 0.942065i \(-0.608882\pi\)
0.999490 0.0319314i \(-0.0101658\pi\)
\(234\) −2.18906e6 1.45235e7i −0.170848 1.13350i
\(235\) 1.56465e7 6.14079e6i 1.20563 0.473174i
\(236\) −9.81180e6 + 4.72511e6i −0.746471 + 0.359481i
\(237\) −275461. 572001.i −0.0206926 0.0429687i
\(238\) −1.50399e7 3.83211e7i −1.11561 2.84254i
\(239\) 1.28010e7 1.92945e6i 0.937674 0.141332i 0.337612 0.941285i \(-0.390381\pi\)
0.600062 + 0.799954i \(0.295143\pi\)
\(240\) −205162. 139877.i −0.0148410 0.0101184i
\(241\) −7.49207e6 2.42887e7i −0.535242 1.73521i −0.668094 0.744077i \(-0.732890\pi\)
0.132852 0.991136i \(-0.457587\pi\)
\(242\) −1.47449e7 3.36543e6i −1.04039 0.237462i
\(243\) −2.31484e6 908506.i −0.161325 0.0633153i
\(244\) −2.84222e7 + 2.12995e6i −1.95654 + 0.146622i
\(245\) −3.70823e6 3.99652e6i −0.252156 0.271759i
\(246\) −1.56534e6 + 1.06723e6i −0.105149 + 0.0716892i
\(247\) −2.94327e6 2.34718e6i −0.195317 0.155760i
\(248\) −1.36492e7 + 1.47103e7i −0.894852 + 0.964421i
\(249\) 194090. 1.28771e6i 0.0125720 0.0834101i
\(250\) −5.80470e6 2.54321e7i −0.371501 1.62765i
\(251\) 1.19998e7 + 2.07842e7i 0.758844 + 1.31436i 0.943441 + 0.331542i \(0.107569\pi\)
−0.184597 + 0.982814i \(0.559098\pi\)
\(252\) 2.83213e7 + 1.63513e7i 1.76975 + 1.02176i
\(253\) 3.15933e7 + 9.74523e6i 1.95089 + 0.601770i
\(254\) 2.46392e7 1.96491e7i 1.50358 1.19906i
\(255\) −112206. + 1.49728e6i −0.00676698 + 0.0902991i
\(256\) 2.18910e7 + 1.05422e7i 1.30481 + 0.628363i
\(257\) 1.00875e7i 0.594270i 0.954836 + 0.297135i \(0.0960311\pi\)
−0.954836 + 0.297135i \(0.903969\pi\)
\(258\) 1.55608e6 + 556208.i 0.0906096 + 0.0323875i
\(259\) −6.95351e6 −0.400226
\(260\) 9.19065e6 1.90846e7i 0.522909 1.08583i
\(261\) −8.72029e6 653496.i −0.490467 0.0367554i
\(262\) −7.27051e6 9.11693e6i −0.404260 0.506926i
\(263\) −156069. + 505963.i −0.00857925 + 0.0278133i −0.959761 0.280817i \(-0.909394\pi\)
0.951182 + 0.308631i \(0.0998707\pi\)
\(264\) −850813. + 1.47365e6i −0.0462405 + 0.0800908i
\(265\) 1.25585e6 725067.i 0.0674840 0.0389619i
\(266\) 1.28424e7 2.93120e6i 0.682342 0.155740i
\(267\) −522277. 78720.7i −0.0274390 0.00413576i
\(268\) 3.21319e7 + 2.98141e7i 1.66929 + 1.54888i
\(269\) −1.95424e7 + 2.45054e7i −1.00397 + 1.25894i −0.0382729 + 0.999267i \(0.512186\pi\)
−0.965697 + 0.259671i \(0.916386\pi\)
\(270\) −2.11542e6 3.10275e6i −0.107475 0.157636i
\(271\) 1.49956e7 1.39139e7i 0.753452 0.699102i −0.206754 0.978393i \(-0.566290\pi\)
0.960206 + 0.279291i \(0.0900995\pi\)
\(272\) 736611. + 9.82940e6i 0.0366043 + 0.488450i
\(273\) 350621. 893369.i 0.0172326 0.0439079i
\(274\) −1.43525e7 + 6.28826e7i −0.697713 + 3.05688i
\(275\) −353160. + 108935.i −0.0169814 + 0.00523806i
\(276\) 1.91497e6 2.80874e6i 0.0910824 0.133593i
\(277\) 371791. + 2.46667e6i 0.0174928 + 0.116057i 0.995873 0.0907567i \(-0.0289286\pi\)
−0.978380 + 0.206814i \(0.933690\pi\)
\(278\) 1.88496e7 7.39792e6i 0.877340 0.344330i
\(279\) −2.06381e7 + 9.93880e6i −0.950294 + 0.457637i
\(280\) 1.37791e7 + 2.86126e7i 0.627693 + 1.30342i
\(281\) 1.01365e7 + 2.58275e7i 0.456847 + 1.16403i 0.954912 + 0.296888i \(0.0959488\pi\)
−0.498065 + 0.867140i \(0.665956\pi\)
\(282\) −2.78295e6 + 419463.i −0.124096 + 0.0187045i
\(283\) 6.17435e6 + 4.20960e6i 0.272416 + 0.185730i 0.691821 0.722069i \(-0.256809\pi\)
−0.419405 + 0.907799i \(0.637761\pi\)
\(284\) −1.01166e7 3.27973e7i −0.441652 1.43180i
\(285\) −468404. 106910.i −0.0202342 0.00461832i
\(286\) −3.21104e7 1.26024e7i −1.37261 0.538711i
\(287\) 3.65368e7 2.73806e6i 1.54556 0.115824i
\(288\) 1.17604e7 + 1.26747e7i 0.492318 + 0.530592i
\(289\) 2.93033e7 1.99786e7i 1.21401 0.827698i
\(290\) −1.54956e7 1.23573e7i −0.635351 0.506676i
\(291\) −158530. + 170855.i −0.00643329 + 0.00693343i
\(292\) −1.66476e6 + 1.10450e7i −0.0668658 + 0.443625i
\(293\) −9.45402e6 4.14208e7i −0.375849 1.64670i −0.710013 0.704189i \(-0.751311\pi\)
0.334164 0.942515i \(-0.391546\pi\)
\(294\) 456431. + 790562.i 0.0179611 + 0.0311096i
\(295\) −1.04546e7 6.03599e6i −0.407233 0.235116i
\(296\) 1.05215e7 + 3.24545e6i 0.405697 + 0.125141i
\(297\) −3.04238e6 + 2.42622e6i −0.116130 + 0.0926106i
\(298\) 5.71041e6 7.62002e7i 0.215784 2.87943i
\(299\) 2.66027e7 + 1.28112e7i 0.995204 + 0.479265i
\(300\) 37999.9i 0.00140740i
\(301\) −2.06836e7 2.43625e7i −0.758449 0.893350i
\(302\) 3.52247e7 1.27887
\(303\) 813438. 1.68912e6i 0.0292413 0.0607202i
\(304\) −3.14524e6 235703.i −0.111952 0.00838968i
\(305\) −1.96989e7 2.47017e7i −0.694293 0.870616i
\(306\) −2.19326e7 + 7.11039e7i −0.765467 + 2.48158i
\(307\) 264479. 458091.i 0.00914063 0.0158320i −0.861419 0.507895i \(-0.830424\pi\)
0.870560 + 0.492063i \(0.163757\pi\)
\(308\) 6.65149e7 3.84024e7i 2.27650 1.31434i
\(309\) 335879. 76662.3i 0.0113843 0.00259840i
\(310\) −5.13370e7 7.73780e6i −1.72324 0.259736i
\(311\) −7.58093e6 7.03407e6i −0.252024 0.233844i 0.544036 0.839062i \(-0.316895\pi\)
−0.796060 + 0.605218i \(0.793086\pi\)
\(312\) −947498. + 1.18812e6i −0.0311971 + 0.0391200i
\(313\) −1.80066e7 2.64109e7i −0.587218 0.861291i 0.411526 0.911398i \(-0.364996\pi\)
−0.998744 + 0.0501073i \(0.984044\pi\)
\(314\) −2.73348e7 + 2.53630e7i −0.882933 + 0.819242i
\(315\) 2.70905e6 + 3.61498e7i 0.0866733 + 1.15657i
\(316\) 1.65775e7 4.22388e7i 0.525361 1.33860i
\(317\) 3.63441e6 1.59234e7i 0.114092 0.499871i −0.885300 0.465020i \(-0.846047\pi\)
0.999393 0.0348511i \(-0.0110957\pi\)
\(318\) −232022. + 71569.4i −0.00721520 + 0.00222559i
\(319\) −1.15694e7 + 1.69691e7i −0.356399 + 0.522742i
\(320\) 7.35238e6 + 4.87798e7i 0.224377 + 1.48864i
\(321\) 2.33692e6 917175.i 0.0706528 0.0277292i
\(322\) −9.30856e7 + 4.48276e7i −2.78814 + 1.34270i
\(323\) 8.27508e6 + 1.71834e7i 0.245564 + 0.509919i
\(324\) −2.15223e7 5.48379e7i −0.632781 1.61230i
\(325\) −326373. + 49192.8i −0.00950745 + 0.00143302i
\(326\) −5.00777e7 3.41424e7i −1.44541 0.985465i
\(327\) 348026. + 1.12827e6i 0.00995332 + 0.0322679i
\(328\) −5.65625e7 1.29100e7i −1.60290 0.365852i
\(329\) 5.06661e7 + 1.98850e7i 1.42275 + 0.558390i
\(330\) −4.39005e6 + 328989.i −0.122160 + 0.00915459i
\(331\) −5.44989e6 5.87359e6i −0.150281 0.161964i 0.653424 0.756992i \(-0.273332\pi\)
−0.803705 + 0.595027i \(0.797141\pi\)
\(332\) 7.69013e7 5.24304e7i 2.10145 1.43275i
\(333\) 9.82653e6 + 7.83640e6i 0.266114 + 0.212219i
\(334\) 4.23900e7 4.56855e7i 1.13769 1.22614i
\(335\) −7.24188e6 + 4.80467e7i −0.192627 + 1.27800i
\(336\) −178922. 783908.i −0.00471678 0.0206656i
\(337\) −1.99557e7 3.45643e7i −0.521408 0.903106i −0.999690 0.0248992i \(-0.992074\pi\)
0.478282 0.878207i \(-0.341260\pi\)
\(338\) 2.87735e7 + 1.66124e7i 0.745149 + 0.430212i
\(339\) 1.02220e6 + 315306.i 0.0262383 + 0.00809343i
\(340\) −8.39010e7 + 6.69088e7i −2.13467 + 1.70234i
\(341\) −4.02034e6 + 5.36477e7i −0.101391 + 1.35297i
\(342\) −2.14520e7 1.03307e7i −0.536276 0.258257i
\(343\) 2.96356e7i 0.734399i
\(344\) 1.99259e7 + 4.65170e7i 0.489488 + 1.14271i
\(345\) 3.76830e6 0.0917674
\(346\) −1.77093e7 + 3.67738e7i −0.427537 + 0.887791i
\(347\) −4.53605e7 3.39930e6i −1.08565 0.0813581i −0.480136 0.877194i \(-0.659413\pi\)
−0.605512 + 0.795836i \(0.707032\pi\)
\(348\) 1.31661e6 + 1.65098e6i 0.0312407 + 0.0391746i
\(349\) 3.59049e6 1.16401e7i 0.0844651 0.273829i −0.903481 0.428629i \(-0.858997\pi\)
0.987946 + 0.154799i \(0.0494731\pi\)
\(350\) 577456. 1.00018e6i 0.0134684 0.0233279i
\(351\) −3.00965e6 + 1.73762e6i −0.0695977 + 0.0401823i
\(352\) 3.95898e7 9.03610e6i 0.907726 0.207183i
\(353\) −6.99668e7 1.05458e7i −1.59063 0.239748i −0.706748 0.707466i \(-0.749838\pi\)
−0.883878 + 0.467717i \(0.845076\pi\)
\(354\) 1.48174e6 + 1.37485e6i 0.0334012 + 0.0309917i
\(355\) 2.37215e7 2.97459e7i 0.530222 0.664877i
\(356\) −2.12651e7 3.11902e7i −0.471323 0.691303i
\(357\) −3.56415e6 + 3.30705e6i −0.0783341 + 0.0726835i
\(358\) 8.72529e6 + 1.16431e8i 0.190165 + 2.53758i
\(359\) −4.96990e6 + 1.26631e7i −0.107415 + 0.273689i −0.974468 0.224527i \(-0.927916\pi\)
0.867053 + 0.498216i \(0.166011\pi\)
\(360\) 1.27732e7 5.59633e7i 0.273775 1.19949i
\(361\) 3.91241e7 1.20682e7i 0.831617 0.256520i
\(362\) 4.81650e7 7.06451e7i 1.01533 1.48921i
\(363\) 266227. + 1.76630e6i 0.00556587 + 0.0369271i
\(364\) 6.38505e7 2.50595e7i 1.32392 0.519599i
\(365\) −1.11556e7 + 5.37224e6i −0.229411 + 0.110478i
\(366\) 2.29533e6 + 4.76629e6i 0.0468167 + 0.0972160i
\(367\) 1.80417e7 + 4.59695e7i 0.364989 + 0.929976i 0.988914 + 0.148492i \(0.0474418\pi\)
−0.623925 + 0.781484i \(0.714463\pi\)
\(368\) 2.44619e7 3.68704e6i 0.490848 0.0739835i
\(369\) −5.47186e7 3.73065e7i −1.08907 0.742516i
\(370\) 8.39646e6 + 2.72206e7i 0.165764 + 0.537394i
\(371\) 4.57806e6 + 1.04491e6i 0.0896519 + 0.0204625i
\(372\) 5.14913e6 + 2.02088e6i 0.100024 + 0.0392566i
\(373\) 2.60876e7 1.95500e6i 0.502699 0.0376721i 0.179032 0.983843i \(-0.442703\pi\)
0.323667 + 0.946171i \(0.395084\pi\)
\(374\) 1.18865e8 + 1.28106e8i 2.27217 + 2.44882i
\(375\) −2.54559e6 + 1.73556e6i −0.0482720 + 0.0329113i
\(376\) −6.73828e7 5.37360e7i −1.26761 1.01089i
\(377\) −1.24755e7 + 1.34454e7i −0.232827 + 0.250928i
\(378\) 1.81239e6 1.20244e7i 0.0335565 0.222633i
\(379\) −1.42333e7 6.23600e7i −0.261449 1.14548i −0.919681 0.392667i \(-0.871552\pi\)
0.658232 0.752815i \(-0.271305\pi\)
\(380\) −1.71693e7 2.97380e7i −0.312896 0.541953i
\(381\) −3.22344e6 1.86105e6i −0.0582833 0.0336499i
\(382\) 1.24302e8 + 3.83421e7i 2.22991 + 0.687837i
\(383\) −7.09728e7 + 5.65989e7i −1.26327 + 1.00742i −0.264191 + 0.964470i \(0.585105\pi\)
−0.999077 + 0.0429526i \(0.986324\pi\)
\(384\) 438936. 5.85720e6i 0.00775189 0.103442i
\(385\) 7.67075e7 + 3.69404e7i 1.34417 + 0.647321i
\(386\) 1.77683e8i 3.08947i
\(387\) 1.77377e6 + 5.77382e7i 0.0306030 + 0.996163i
\(388\) −1.66581e7 −0.285188
\(389\) −2.08017e7 + 4.31953e7i −0.353387 + 0.733816i −0.999569 0.0293677i \(-0.990651\pi\)
0.646181 + 0.763184i \(0.276365\pi\)
\(390\) −3.92061e6 293809.i −0.0660937 0.00495304i
\(391\) −9.32666e7 1.16953e8i −1.56026 1.95650i
\(392\) −8.23985e6 + 2.67129e7i −0.136792 + 0.443469i
\(393\) −688620. + 1.19273e6i −0.0113449 + 0.0196500i
\(394\) 3.33454e7 1.92520e7i 0.545189 0.314765i
\(395\) 4.90380e7 1.11926e7i 0.795686 0.181610i
\(396\) −1.37276e8 2.06910e7i −2.21059 0.333193i
\(397\) −4.63851e7 4.30391e7i −0.741323 0.687847i 0.216153 0.976359i \(-0.430649\pi\)
−0.957476 + 0.288512i \(0.906839\pi\)
\(398\) −1.11680e8 + 1.40042e8i −1.77143 + 2.22131i
\(399\) −876403. 1.28545e6i −0.0137970 0.0202365i
\(400\) −202712. + 188089.i −0.00316738 + 0.00293890i
\(401\) 2.63376e6 + 3.51451e7i 0.0408454 + 0.545044i 0.979666 + 0.200637i \(0.0643011\pi\)
−0.938820 + 0.344407i \(0.888080\pi\)
\(402\) 2.97234e6 7.57339e6i 0.0457531 0.116577i
\(403\) −1.06911e7 + 4.68409e7i −0.163346 + 0.715665i
\(404\) 1.28041e8 3.94954e7i 1.94180 0.598966i
\(405\) 3.67862e7 5.39554e7i 0.553757 0.812213i
\(406\) −9.56544e6 6.34626e7i −0.142931 0.948286i
\(407\) 2.74780e7 1.07843e7i 0.407569 0.159959i
\(408\) 6.93649e6 3.34044e6i 0.102131 0.0491839i
\(409\) 7.94016e6 + 1.64879e7i 0.116054 + 0.240988i 0.950902 0.309492i \(-0.100159\pi\)
−0.834848 + 0.550480i \(0.814445\pi\)
\(410\) −5.48373e7 1.39723e8i −0.795654 2.02729i
\(411\) 7.53276e6 1.13538e6i 0.108500 0.0163537i
\(412\) 2.03446e7 + 1.38707e7i 0.290910 + 0.198339i
\(413\) −1.15223e7 3.73545e7i −0.163565 0.530265i
\(414\) 1.82066e8 + 4.15553e7i 2.56582 + 0.585633i
\(415\) 9.60415e7 + 3.76935e7i 1.34374 + 0.527378i
\(416\) 3.61642e7 2.71014e6i 0.502342 0.0376453i
\(417\) −1.62669e6 1.75316e6i −0.0224335 0.0241775i
\(418\) −4.62029e7 + 3.15006e7i −0.632617 + 0.431311i
\(419\) −8.57271e7 6.83651e7i −1.16540 0.929378i −0.167005 0.985956i \(-0.553410\pi\)
−0.998398 + 0.0565779i \(0.981981\pi\)
\(420\) 5.95419e6 6.41709e6i 0.0803665 0.0866145i
\(421\) 1.09510e7 7.26553e7i 0.146760 0.973691i −0.787299 0.616572i \(-0.788521\pi\)
0.934059 0.357119i \(-0.116241\pi\)
\(422\) 4.26675e7 + 1.86939e8i 0.567754 + 2.48749i
\(423\) −4.91903e7 8.52001e7i −0.649918 1.12569i
\(424\) −6.43945e6 3.71782e6i −0.0844794 0.0487742i
\(425\) 1.59785e6 + 492873.i 0.0208147 + 0.00642049i
\(426\) −4.98063e6 + 3.97192e6i −0.0644252 + 0.0513774i
\(427\) 7.64557e6 1.02023e8i 0.0982033 1.31043i
\(428\) 1.61658e8 + 7.78504e7i 2.06189 + 0.992955i
\(429\) 4.07408e6i 0.0516009i
\(430\) −7.03951e7 + 1.10387e8i −0.885395 + 1.38840i
\(431\) 6.35438e7 0.793673 0.396836 0.917889i \(-0.370108\pi\)
0.396836 + 0.917889i \(0.370108\pi\)
\(432\) −1.26332e6 + 2.62330e6i −0.0156697 + 0.0325385i
\(433\) 1.99700e7 + 1.49655e6i 0.245989 + 0.0184343i 0.197154 0.980373i \(-0.436830\pi\)
0.0488349 + 0.998807i \(0.484449\pi\)
\(434\) −1.04819e8 1.31438e8i −1.28224 1.60788i
\(435\) −689970. + 2.23683e6i −0.00838229 + 0.0271747i
\(436\) −4.21943e7 + 7.30826e7i −0.509089 + 0.881768i
\(437\) 4.14529e7 2.39329e7i 0.496719 0.286781i
\(438\) 2.02122e6 461330.i 0.0240542 0.00549021i
\(439\) 3.71808e7 + 5.60410e6i 0.439466 + 0.0662388i 0.365049 0.930988i \(-0.381052\pi\)
0.0744171 + 0.997227i \(0.476290\pi\)
\(440\) −9.88262e7 9.16973e7i −1.16015 1.07646i
\(441\) −1.98958e7 + 2.49485e7i −0.231977 + 0.290890i
\(442\) 8.79177e7 + 1.28952e8i 1.01815 + 1.49334i
\(443\) −4.71877e7 + 4.37838e7i −0.542772 + 0.503619i −0.903230 0.429156i \(-0.858811\pi\)
0.360458 + 0.932775i \(0.382620\pi\)
\(444\) −226811. 3.02659e6i −0.00259129 0.0345784i
\(445\) 1.52880e7 3.89532e7i 0.173489 0.442042i
\(446\) −2.64899e7 + 1.16060e8i −0.298590 + 1.30821i
\(447\) −8.62403e6 + 2.66016e6i −0.0965578 + 0.0297841i
\(448\) −8.99859e7 + 1.31985e8i −1.00078 + 1.46788i
\(449\) −2.41458e7 1.60197e8i −0.266749 1.76976i −0.574705 0.818361i \(-0.694883\pi\)
0.307957 0.951400i \(-0.400355\pi\)
\(450\) −1.94322e6 + 762659.i −0.0213248 + 0.00836937i
\(451\) −1.40135e8 + 6.74854e7i −1.52762 + 0.735665i
\(452\) 3.31724e7 + 6.88833e7i 0.359221 + 0.745931i
\(453\) −1.51992e6 3.87269e6i −0.0163503 0.0416599i
\(454\) 8.90624e7 1.34240e7i 0.951758 0.143454i
\(455\) 6.28230e7 + 4.28320e7i 0.666937 + 0.454710i
\(456\) 726138. + 2.35408e6i 0.00765816 + 0.0248272i
\(457\) −2.81998e7 6.43642e6i −0.295459 0.0674366i 0.0722219 0.997389i \(-0.476991\pi\)
−0.367681 + 0.929952i \(0.619848\pi\)
\(458\) 1.73099e7 + 6.79363e6i 0.180176 + 0.0707140i
\(459\) 1.75570e7 1.31572e6i 0.181557 0.0136058i
\(460\) 1.83189e8 + 1.97431e8i 1.88202 + 2.02834i
\(461\) 7.11473e7 4.85074e7i 0.726199 0.495114i −0.142909 0.989736i \(-0.545646\pi\)
0.869109 + 0.494621i \(0.164693\pi\)
\(462\) −1.11455e7 8.88824e6i −0.113025 0.0901342i
\(463\) −7.18189e7 + 7.74023e7i −0.723595 + 0.779850i −0.982542 0.186042i \(-0.940434\pi\)
0.258947 + 0.965892i \(0.416625\pi\)
\(464\) −2.29035e6 + 1.51955e7i −0.0229270 + 0.152111i
\(465\) 1.36444e6 + 5.97799e6i 0.0135705 + 0.0594561i
\(466\) −9.89056e7 1.71309e8i −0.977379 1.69287i
\(467\) 1.01929e8 + 5.88489e7i 1.00080 + 0.577814i 0.908486 0.417916i \(-0.137239\pi\)
0.0923174 + 0.995730i \(0.470573\pi\)
\(468\) −1.18473e8 3.65441e7i −1.15580 0.356517i
\(469\) −1.23014e8 + 9.81007e7i −1.19244 + 0.950941i
\(470\) 1.66630e7 2.22352e8i 0.160494 2.14165i
\(471\) 3.96795e6 + 1.91086e6i 0.0379755 + 0.0182880i
\(472\) 6.18997e7i 0.588657i
\(473\) 1.19519e8 + 6.41939e7i 1.12941 + 0.606611i
\(474\) −8.42206e6 −0.0790830
\(475\) −232153. + 482071.i −0.00216618 + 0.00449811i
\(476\) −3.46528e8 2.59687e7i −3.21305 0.240785i
\(477\) −5.29201e6 6.63598e6i −0.0487602 0.0611434i
\(478\) 5.06193e7 1.64104e8i 0.463482 1.50257i
\(479\) −1.07906e6 + 1.86899e6i −0.00981839 + 0.0170060i −0.870893 0.491473i \(-0.836459\pi\)
0.861074 + 0.508479i \(0.169792\pi\)
\(480\) 4.00826e6 2.31417e6i 0.0362437 0.0209253i
\(481\) 2.57011e7 5.86610e6i 0.230949 0.0527126i
\(482\) −3.33421e8 5.02552e7i −2.97750 0.448786i
\(483\) 8.94503e6 + 8.29977e6i 0.0793853 + 0.0736588i
\(484\) −7.95988e7 + 9.98137e7i −0.702054 + 0.880348i
\(485\) −1.04021e7 1.52571e7i −0.0911792 0.133735i
\(486\) −2.41822e7 + 2.24378e7i −0.210662 + 0.195466i
\(487\) −532187. 7.10154e6i −0.00460763 0.0614845i 0.994426 0.105437i \(-0.0336241\pi\)
−0.999034 + 0.0439523i \(0.986005\pi\)
\(488\) −5.91864e7 + 1.50804e8i −0.509286 + 1.29764i
\(489\) −1.59288e6 + 6.97888e6i −0.0136225 + 0.0596841i
\(490\) −6.91103e7 + 2.13177e7i −0.587428 + 0.181197i
\(491\) 6.23018e7 9.13799e7i 0.526327 0.771980i −0.467372 0.884061i \(-0.654799\pi\)
0.993699 + 0.112081i \(0.0357515\pi\)
\(492\) 2.38353e6 + 1.58137e7i 0.0200136 + 0.132782i
\(493\) 8.64989e7 3.39483e7i 0.721888 0.283320i
\(494\) −4.49944e7 + 2.16682e7i −0.373231 + 0.179739i
\(495\) −6.67705e7 1.38650e8i −0.550514 1.14316i
\(496\) 1.47063e7 + 3.74711e7i 0.120520 + 0.307080i
\(497\) 1.21825e8 1.83622e7i 0.992355 0.149573i
\(498\) −1.42735e7 9.73153e6i −0.115570 0.0787940i
\(499\) −4.85371e6 1.57353e7i −0.0390636 0.126641i 0.933941 0.357428i \(-0.116346\pi\)
−0.973004 + 0.230787i \(0.925870\pi\)
\(500\) −2.14679e8 4.89991e7i −1.71743 0.391993i
\(501\) −6.85187e6 2.68916e6i −0.0544874 0.0213847i
\(502\) 3.17482e8 2.37920e7i 2.50962 0.188070i
\(503\) −9.23880e7 9.95706e7i −0.725958 0.782397i 0.256964 0.966421i \(-0.417278\pi\)
−0.982922 + 0.184024i \(0.941087\pi\)
\(504\) 1.53581e8 1.04710e8i 1.19962 0.817890i
\(505\) 1.16128e8 + 9.26092e7i 0.901703 + 0.719084i
\(506\) 2.98319e8 3.21512e8i 2.30266 2.48168i
\(507\) 584853. 3.88024e6i 0.00448769 0.0297739i
\(508\) −5.91961e7 2.59355e8i −0.451546 1.97835i
\(509\) 8.48095e7 + 1.46894e8i 0.643119 + 1.11391i 0.984733 + 0.174074i \(0.0556933\pi\)
−0.341613 + 0.939841i \(0.610973\pi\)
\(510\) 1.72497e7 + 9.95913e6i 0.130038 + 0.0750777i
\(511\) −3.83131e7 1.18180e7i −0.287134 0.0885691i
\(512\) 6.44174e7 5.13712e7i 0.479947 0.382745i
\(513\) −421008. + 5.61796e6i −0.00311844 + 0.0416127i
\(514\) 1.20566e8 + 5.80614e7i 0.887840 + 0.427561i
\(515\) 2.72951e7i 0.199831i
\(516\) 9.92935e6 9.79740e6i 0.0722723 0.0713119i
\(517\) −2.31056e8 −1.67203
\(518\) −4.00229e7 + 8.31085e7i −0.287952 + 0.597938i
\(519\) 4.80715e6 + 360246.i 0.0343863 + 0.00257690i
\(520\) −7.50674e7 9.41316e7i −0.533877 0.669461i
\(521\) −4.17173e7 + 1.35244e8i −0.294987 + 0.956324i 0.679840 + 0.733360i \(0.262049\pi\)
−0.974827 + 0.222963i \(0.928427\pi\)
\(522\) −5.80027e7 + 1.00464e8i −0.407790 + 0.706314i
\(523\) −8.24528e6 + 4.76042e6i −0.0576369 + 0.0332767i −0.528542 0.848907i \(-0.677261\pi\)
0.470905 + 0.882184i \(0.343928\pi\)
\(524\) −9.59657e7 + 2.19035e7i −0.666994 + 0.152237i
\(525\) −134879. 20329.8i −0.000932111 0.000140493i
\(526\) 5.14898e6 + 4.77756e6i 0.0353805 + 0.0328283i
\(527\) 1.51762e8 1.90303e8i 1.03689 1.30021i
\(528\) 1.92282e6 + 2.82025e6i 0.0130628 + 0.0191596i
\(529\) −1.66688e8 + 1.54664e8i −1.12600 + 1.04477i
\(530\) −1.43759e6 1.91833e7i −0.00965622 0.128853i
\(531\) −2.58143e7 + 6.57738e7i −0.172416 + 0.439308i
\(532\) 2.47431e7 1.08406e8i 0.164331 0.719979i
\(533\) −1.32735e8 + 4.09433e7i −0.876604 + 0.270397i
\(534\) −3.94699e6 + 5.78917e6i −0.0259204 + 0.0380183i
\(535\) 2.96440e7 + 1.96675e8i 0.193586 + 1.28436i
\(536\) 2.31922e8 9.10228e7i 1.50608 0.591093i
\(537\) 1.24242e7 5.98318e6i 0.0802316 0.0386375i
\(538\) 1.80407e8 + 3.74619e8i 1.15853 + 2.40571i
\(539\) 2.73802e7 + 6.97636e7i 0.174852 + 0.445515i
\(540\) −3.13452e7 + 4.72453e6i −0.199063 + 0.0300039i
\(541\) 9.22369e6 + 6.28861e6i 0.0582523 + 0.0397157i 0.592096 0.805867i \(-0.298301\pi\)
−0.533844 + 0.845583i \(0.679253\pi\)
\(542\) −7.99874e7 2.59313e8i −0.502370 1.62864i
\(543\) −9.84518e6 2.24710e6i −0.0614928 0.0140353i
\(544\) −1.71028e8 6.71236e7i −1.06236 0.416945i
\(545\) −9.32839e7 + 6.99067e6i −0.576259 + 0.0431846i
\(546\) −8.65945e6 9.33267e6i −0.0532001 0.0573361i
\(547\) 2.24991e8 1.53396e8i 1.37469 0.937245i 0.374737 0.927131i \(-0.377733\pi\)
0.999949 0.0101137i \(-0.00321933\pi\)
\(548\) 4.25676e8 + 3.39465e8i 2.58665 + 2.06278i
\(549\) −1.25781e8 + 1.35560e8i −0.760150 + 0.819246i
\(550\) −730715. + 4.84798e6i −0.00439198 + 0.0291389i
\(551\) 6.61635e6 + 2.89881e7i 0.0395516 + 0.173287i
\(552\) −9.66109e6 1.67335e7i −0.0574392 0.0994877i
\(553\) 1.41056e8 + 8.14388e7i 0.834097 + 0.481566i
\(554\) 3.16217e7 + 9.75400e6i 0.185975 + 0.0573658i
\(555\) 2.63040e6 2.09767e6i 0.0153866 0.0122704i
\(556\) 1.27736e7 1.70453e8i 0.0743174 0.991697i
\(557\) −1.66140e8 8.00088e7i −0.961409 0.462990i −0.113737 0.993511i \(-0.536282\pi\)
−0.847672 + 0.530520i \(0.821997\pi\)
\(558\) 3.03873e8i 1.74900i
\(559\) 9.70018e7 + 7.25978e7i 0.555321 + 0.415612i
\(560\) 6.37039e7 0.362745
\(561\) 8.95538e6 1.85960e7i 0.0507219 0.105325i
\(562\) 3.67034e8 + 2.75054e7i 2.06775 + 0.154956i
\(563\) 1.31681e8 + 1.65123e8i 0.737900 + 0.925298i 0.999201 0.0399596i \(-0.0127229\pi\)
−0.261301 + 0.965257i \(0.584151\pi\)
\(564\) −7.00250e6 + 2.27016e7i −0.0390316 + 0.126537i
\(565\) −4.23754e7 + 7.33963e7i −0.234946 + 0.406939i
\(566\) 8.58514e7 4.95664e7i 0.473476 0.273362i
\(567\) 2.06159e8 4.70545e7i 1.13098 0.258138i
\(568\) −1.92906e8 2.90759e7i −1.05269 0.158667i
\(569\) 1.53445e8 + 1.42376e8i 0.832944 + 0.772859i 0.976210 0.216825i \(-0.0695702\pi\)
−0.143267 + 0.989684i \(0.545761\pi\)
\(570\) −3.97382e6 + 4.98301e6i −0.0214577 + 0.0269071i
\(571\) 4.64829e7 + 6.81779e7i 0.249681 + 0.366214i 0.930534 0.366205i \(-0.119343\pi\)
−0.680853 + 0.732420i \(0.738391\pi\)
\(572\) −2.13451e8 + 1.98053e8i −1.14054 + 1.05826i
\(573\) −1.14811e6 1.53205e7i −0.00610267 0.0814345i
\(574\) 1.77573e8 4.52448e8i 0.938947 2.39240i
\(575\) 933835. 4.09140e6i 0.00491209 0.0215213i
\(576\) 2.75909e8 8.51067e7i 1.44377 0.445344i
\(577\) 8.27412e7 1.21359e8i 0.430719 0.631749i −0.548115 0.836403i \(-0.684654\pi\)
0.978834 + 0.204654i \(0.0656068\pi\)
\(578\) −7.01215e7 4.65226e8i −0.363135 2.40924i
\(579\) −1.95349e7 + 7.66687e6i −0.100641 + 0.0394987i
\(580\) −1.50734e8 + 7.25899e7i −0.772553 + 0.372042i
\(581\) 1.44958e8 + 3.01008e8i 0.739118 + 1.53479i
\(582\) 1.12959e6 + 2.87816e6i 0.00572998 + 0.0145998i
\(583\) −1.97115e7 + 2.97104e6i −0.0994752 + 0.0149935i
\(584\) 5.24563e7 + 3.57641e7i 0.263366 + 0.179560i
\(585\) −4.05096e7 1.31329e8i −0.202344 0.655982i
\(586\) −5.49477e8 1.25415e8i −2.73059 0.623240i
\(587\) −1.33832e8 5.25252e7i −0.661676 0.259689i 0.0106504 0.999943i \(-0.496610\pi\)
−0.672327 + 0.740254i \(0.734705\pi\)
\(588\) 7.68418e6 575850.i 0.0377977 0.00283255i
\(589\) 5.29761e7 + 5.70947e7i 0.259259 + 0.279415i
\(590\) −1.32317e8 + 9.02122e7i −0.644257 + 0.439247i
\(591\) −3.55543e6 2.83536e6i −0.0172238 0.0137356i
\(592\) 1.50228e7 1.61907e7i 0.0724079 0.0780371i
\(593\) −4.05963e7 + 2.69339e8i −0.194680 + 1.29162i 0.651469 + 0.758675i \(0.274153\pi\)
−0.846150 + 0.532945i \(0.821085\pi\)
\(594\) 1.14869e7 + 5.03274e7i 0.0548079 + 0.240129i
\(595\) −1.92604e8 3.33599e8i −0.914352 1.58370i
\(596\) −5.58613e8 3.22515e8i −2.63859 1.52339i
\(597\) 2.02154e7 + 6.23563e6i 0.0950078 + 0.0293060i
\(598\) 3.06239e8 2.44217e8i 1.43205 1.14202i
\(599\) 4.75650e6 6.34711e7i 0.0221313 0.295322i −0.975145 0.221567i \(-0.928883\pi\)
0.997276 0.0737547i \(-0.0234982\pi\)
\(600\) 194600. + 93714.3i 0.000900925 + 0.000433862i
\(601\) 8.88435e7i 0.409263i −0.978839 0.204631i \(-0.934400\pi\)
0.978839 0.204631i \(-0.0655995\pi\)
\(602\) −4.10231e8 + 1.06985e8i −1.88035 + 0.490382i
\(603\) 2.84397e8 1.29710
\(604\) 1.29012e8 2.67895e8i 0.585488 1.21578i
\(605\) −1.41124e8 1.05758e7i −0.637286 0.0477580i
\(606\) −1.55064e7 1.94445e7i −0.0696777 0.0873731i
\(607\) 5.34765e7 1.73367e8i 0.239110 0.775174i −0.753884 0.657007i \(-0.771822\pi\)
0.992994 0.118167i \(-0.0377018\pi\)
\(608\) 2.93950e7 5.09137e7i 0.130787 0.226529i
\(609\) −6.56448e6 + 3.79001e6i −0.0290636 + 0.0167798i
\(610\) −4.08617e8 + 9.32643e7i −1.80023 + 0.410890i
\(611\) −2.04044e8 3.07547e7i −0.894540 0.134830i
\(612\) 4.60439e8 + 4.27225e8i 2.00871 + 1.86381i
\(613\) −1.52496e8 + 1.91225e8i −0.662031 + 0.830161i −0.993563 0.113283i \(-0.963863\pi\)
0.331532 + 0.943444i \(0.392435\pi\)
\(614\) −3.95283e6 5.79773e6i −0.0170766 0.0250468i
\(615\) −1.29953e7 + 1.20579e7i −0.0558677 + 0.0518377i
\(616\) −3.26237e7 4.35334e8i −0.139570 1.86243i
\(617\) −1.23117e8 + 3.13698e8i −0.524160 + 1.33554i 0.386466 + 0.922304i \(0.373696\pi\)
−0.910625 + 0.413233i \(0.864399\pi\)
\(618\) 1.01698e6 4.45569e6i 0.00430871 0.0188777i
\(619\) −5.81760e7 + 1.79449e7i −0.245285 + 0.0756605i −0.414960 0.909840i \(-0.636204\pi\)
0.169675 + 0.985500i \(0.445728\pi\)
\(620\) −2.46872e8 + 3.62094e8i −1.03585 + 1.51931i
\(621\) −6.58570e6 4.36933e7i −0.0274997 0.182448i
\(622\) −1.27705e8 + 5.01207e7i −0.530687 + 0.208279i
\(623\) 1.22085e8 5.87932e7i 0.504893 0.243144i
\(624\) 1.32264e6 + 2.74648e6i 0.00544361 + 0.0113038i
\(625\) −8.79411e7 2.24070e8i −0.360207 0.917791i
\(626\) −4.19306e8 + 6.32001e7i −1.70926 + 0.257629i
\(627\) 5.45687e6 + 3.72043e6i 0.0221381 + 0.0150935i
\(628\) 9.27794e7 + 3.00783e8i 0.374604 + 1.21444i
\(629\) −1.30206e8 2.97188e7i −0.523215 0.119420i
\(630\) 4.47655e8 + 1.75692e8i 1.79028 + 0.702635i
\(631\) −2.87716e8 + 2.15613e7i −1.14518 + 0.0858197i −0.633775 0.773517i \(-0.718496\pi\)
−0.511410 + 0.859337i \(0.670876\pi\)
\(632\) −1.75424e8 1.89062e8i −0.694926 0.748952i
\(633\) 1.87114e7 1.27572e7i 0.0737726 0.0502973i
\(634\) −1.69398e8 1.35090e8i −0.664722 0.530098i
\(635\) 2.00577e8 2.16171e8i 0.783357 0.844258i
\(636\) −305480. + 2.02673e6i −0.00118744 + 0.00787816i
\(637\) 1.48934e7 + 6.52523e7i 0.0576203 + 0.252451i
\(638\) 1.36224e8 + 2.35948e8i 0.524558 + 0.908560i
\(639\) −1.92854e8 1.11344e8i −0.739137 0.426741i
\(640\) 4.44675e8 + 1.37164e8i 1.69630 + 0.523240i
\(641\) 3.91878e8 3.12512e8i 1.48791 1.18657i 0.552244 0.833683i \(-0.313772\pi\)
0.935666 0.352886i \(-0.114800\pi\)
\(642\) 2.48875e6 3.32100e7i 0.00940536 0.125506i
\(643\) −1.21931e8 5.87188e7i −0.458650 0.220874i 0.190269 0.981732i \(-0.439064\pi\)
−0.648918 + 0.760858i \(0.724778\pi\)
\(644\) 8.72129e8i 3.26530i
\(645\) 1.51737e7 + 2.97628e6i 0.0565474 + 0.0110916i
\(646\) 2.53006e8 0.938496
\(647\) 6.10654e7 1.26804e8i 0.225467 0.468186i −0.757293 0.653076i \(-0.773478\pi\)
0.982759 + 0.184889i \(0.0591926\pi\)
\(648\) −3.33905e8 2.50227e7i −1.22715 0.0919623i
\(649\) 1.03466e8 + 1.29742e8i 0.378499 + 0.474622i
\(650\) −1.29058e6 + 4.18396e6i −0.00469943 + 0.0152352i
\(651\) −9.92781e6 + 1.71955e7i −0.0359841 + 0.0623263i
\(652\) −4.43075e8 + 2.55810e8i −1.59858 + 0.922941i
\(653\) −2.13799e8 + 4.87982e7i −0.767832 + 0.175253i −0.588457 0.808528i \(-0.700265\pi\)
−0.179375 + 0.983781i \(0.557407\pi\)
\(654\) 1.54883e7 + 2.33448e6i 0.0553694 + 0.00834559i
\(655\) −7.99867e7 7.42168e7i −0.284639 0.264106i
\(656\) −7.25611e7 + 9.09887e7i −0.257035 + 0.322312i
\(657\) 4.08245e7 + 5.98786e7i 0.143955 + 0.211142i
\(658\) 5.29289e8 4.91109e8i 1.85787 1.72385i
\(659\) 5.43459e6 + 7.25196e7i 0.0189894 + 0.253395i 0.998617 + 0.0525733i \(0.0167423\pi\)
−0.979628 + 0.200822i \(0.935639\pi\)
\(660\) −1.35766e7 + 3.45927e7i −0.0472237 + 0.120324i
\(661\) 1.04767e8 4.59015e8i 0.362761 1.58936i −0.383392 0.923586i \(-0.625244\pi\)
0.746153 0.665775i \(-0.231899\pi\)
\(662\) −1.01570e8 + 3.13301e7i −0.350098 + 0.107991i
\(663\) 1.03837e7 1.52300e7i 0.0356295 0.0522589i
\(664\) −7.88474e7 5.23118e8i −0.269329 1.78688i
\(665\) 1.14739e8 4.50319e7i 0.390165 0.153128i
\(666\) 1.50220e8 7.23422e7i 0.508517 0.244889i
\(667\) −1.01186e8 2.10114e8i −0.340990 0.708073i
\(668\) −1.92199e8 4.89714e8i −0.644794 1.64291i
\(669\) 1.39029e7 2.09553e6i 0.0464331 0.00699866i
\(670\) 5.32572e8 + 3.63102e8i 1.77074 + 1.20727i
\(671\) 1.28016e8 + 4.15018e8i 0.423738 + 1.37373i
\(672\) 1.46116e7 + 3.33501e6i 0.0481494 + 0.0109898i
\(673\) 6.98172e7 + 2.74012e7i 0.229043 + 0.0898928i 0.477087 0.878856i \(-0.341693\pi\)
−0.248044 + 0.968749i \(0.579788\pi\)
\(674\) −5.27974e8 + 3.95662e7i −1.72438 + 0.129224i
\(675\) 335961. + 362079.i 0.00109239 + 0.00117731i
\(676\) 2.31727e8 1.57989e8i 0.750129 0.511430i
\(677\) −4.01465e7 3.20158e7i −0.129384 0.103181i 0.556660 0.830741i \(-0.312083\pi\)
−0.686044 + 0.727560i \(0.740654\pi\)
\(678\) 9.65208e6 1.04025e7i 0.0309693 0.0333770i
\(679\) 8.91202e6 5.91274e7i 0.0284687 0.188877i
\(680\) 1.35730e8 + 5.94670e8i 0.431666 + 1.89125i
\(681\) −5.31883e6 9.21249e6i −0.0168413 0.0291700i
\(682\) 6.18058e8 + 3.56836e8i 1.94839 + 1.12490i
\(683\) −8.53902e7 2.63394e7i −0.268007 0.0826692i 0.157839 0.987465i \(-0.449547\pi\)
−0.425846 + 0.904796i \(0.640023\pi\)
\(684\) −1.57137e8 + 1.25313e8i −0.491032 + 0.391585i
\(685\) −4.51025e7 + 6.01852e8i −0.140323 + 1.87248i
\(686\) 3.54206e8 + 1.70576e8i 1.09719 + 0.528380i
\(687\) 2.19623e6i 0.00677341i
\(688\) 1.01412e8 + 4.47403e6i 0.311405 + 0.0137383i
\(689\) −1.78026e7 −0.0544284
\(690\) 2.16896e7 4.50388e7i 0.0660242 0.137101i
\(691\) −2.90324e8 2.17568e7i −0.879932 0.0659418i −0.372903 0.927870i \(-0.621637\pi\)
−0.507030 + 0.861929i \(0.669257\pi\)
\(692\) 2.14816e8 + 2.69371e8i 0.648258 + 0.812890i
\(693\) 1.46884e8 4.76185e8i 0.441340 1.43079i
\(694\) −3.01714e8 + 5.22583e8i −0.902644 + 1.56343i
\(695\) 1.64093e8 9.47391e7i 0.488805 0.282211i
\(696\) 1.17018e7 2.67085e6i 0.0347075 0.00792177i
\(697\) 6.95864e8 + 1.04885e8i 2.05507 + 0.309752i
\(698\) −1.18456e8 1.09911e8i −0.348331 0.323204i
\(699\) −1.45665e7 + 1.82658e7i −0.0426504 + 0.0534819i
\(700\) −5.49177e6 8.05495e6i −0.0160110 0.0234838i
\(701\) 2.43765e8 2.26181e8i 0.707647 0.656601i −0.241872 0.970308i \(-0.577762\pi\)
0.949520 + 0.313707i \(0.101571\pi\)
\(702\) 3.44518e6 + 4.59728e7i 0.00995867 + 0.132889i
\(703\) 1.56130e7 3.97812e7i 0.0449386 0.114502i
\(704\) 1.50897e8 6.61122e8i 0.432476 1.89480i
\(705\) −2.51649e7 + 7.76235e6i −0.0718171 + 0.0221526i
\(706\) −5.28758e8 + 7.75545e8i −1.50260 + 2.20391i
\(707\) 7.16861e7 + 4.75606e8i 0.202851 + 1.34583i
\(708\) 1.58831e7 6.23366e6i 0.0447544 0.0175648i
\(709\) −1.27169e8 + 6.12412e7i −0.356814 + 0.171832i −0.603699 0.797212i \(-0.706307\pi\)
0.246885 + 0.969045i \(0.420593\pi\)
\(710\) −2.18987e8 4.54731e8i −0.611847 1.27051i
\(711\) −1.07558e8 2.74053e8i −0.299250 0.762476i
\(712\) −2.12170e8 + 3.19795e7i −0.587820 + 0.0885997i
\(713\) −5.04737e8 3.44124e8i −1.39250 0.949393i
\(714\) 1.90114e7 + 6.16334e7i 0.0522299 + 0.169325i
\(715\) −3.14684e8 7.18247e7i −0.860909 0.196497i
\(716\) 9.17452e8 + 3.60073e8i 2.49945 + 0.980961i
\(717\) −2.02261e7 + 1.51574e6i −0.0548726 + 0.00411213i
\(718\) 1.22744e8 + 1.32287e8i 0.331609 + 0.357390i
\(719\) 1.83294e7 1.24968e7i 0.0493131 0.0336211i −0.538413 0.842681i \(-0.680976\pi\)
0.587726 + 0.809060i \(0.300023\pi\)
\(720\) −9.00248e7 7.17924e7i −0.241193 0.192345i
\(721\) −6.01180e7 + 6.47918e7i −0.160398 + 0.172868i
\(722\) 8.09509e7 5.37074e8i 0.215085 1.42700i
\(723\) 8.86169e6 + 3.88256e7i 0.0234478 + 0.102731i
\(724\) −3.60873e8 6.25051e8i −0.950909 1.64702i
\(725\) 2.25763e6 + 1.30344e6i 0.00592433 + 0.00342041i
\(726\) 2.26432e7 + 6.98451e6i 0.0591737 + 0.0182527i
\(727\) 5.21542e8 4.15916e8i 1.35733 1.08244i 0.369113 0.929385i \(-0.379662\pi\)
0.988218 0.153051i \(-0.0489098\pi\)
\(728\) 2.91353e7 3.88783e8i 0.0755135 1.00766i
\(729\) −3.42021e8 1.64709e8i −0.882817 0.425142i
\(730\) 1.64253e8i 0.422226i
\(731\) −2.83182e8 5.44594e8i −0.724960 1.39419i
\(732\) 4.46559e7 0.113853
\(733\) −2.24142e8 + 4.65435e8i −0.569129 + 1.18181i 0.395565 + 0.918438i \(0.370549\pi\)
−0.964695 + 0.263371i \(0.915166\pi\)
\(734\) 6.53272e8 + 4.89560e7i 1.65198 + 0.123799i
\(735\) 5.32577e6 + 6.67831e6i 0.0134128 + 0.0168192i
\(736\) −1.35914e8 + 4.40622e8i −0.340903 + 1.10518i
\(737\) 3.33966e8 5.78446e8i 0.834257 1.44498i
\(738\) −7.60837e8 + 4.39269e8i −1.89288 + 1.09285i
\(739\) −1.74988e8 + 3.99399e7i −0.433586 + 0.0989631i −0.433743 0.901037i \(-0.642807\pi\)
0.000156720 1.00000i \(0.499950\pi\)
\(740\) 2.37774e8 + 3.58387e7i 0.586772 + 0.0884417i
\(741\) 4.32372e6 + 4.01183e6i 0.0106268 + 0.00986025i
\(742\) 3.88391e7 4.87027e7i 0.0950731 0.119218i
\(743\) 3.52474e7 + 5.16985e7i 0.0859332 + 0.126041i 0.866798 0.498659i \(-0.166174\pi\)
−0.780865 + 0.624699i \(0.785221\pi\)
\(744\) 2.30477e7 2.13851e7i 0.0559640 0.0519270i
\(745\) −5.34337e7 7.13023e8i −0.129225 1.72439i
\(746\) 1.26789e8 3.23052e8i 0.305396 0.778137i
\(747\) 1.34376e8 5.88741e8i 0.322375 1.41242i
\(748\) 1.40964e9 4.34816e8i 3.36824 1.03897i
\(749\) −3.62813e8 + 5.32149e8i −0.863451 + 1.26645i
\(750\) 6.09150e6 + 4.04144e7i 0.0144391 + 0.0957972i
\(751\) −4.00170e8 + 1.57055e8i −0.944766 + 0.370793i −0.787188 0.616713i \(-0.788464\pi\)
−0.157578 + 0.987506i \(0.550369\pi\)
\(752\) −1.55763e8 + 7.50115e7i −0.366278 + 0.176390i