Properties

Label 43.7.f.a.22.3
Level 43
Weight 7
Character 43.22
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 22.3
Character \(\chi\) \(=\) 43.22
Dual form 43.7.f.a.2.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.10721 + 10.6052i) q^{2} +(-7.80492 - 16.2071i) q^{3} +(-46.4840 - 58.2891i) q^{4} +(-223.373 + 50.9834i) q^{5} +211.741 q^{6} +193.213i q^{7} +(121.123 - 27.6454i) q^{8} +(252.771 - 316.965i) q^{9} +O(q^{10})\) \(q+(-5.10721 + 10.6052i) q^{2} +(-7.80492 - 16.2071i) q^{3} +(-46.4840 - 58.2891i) q^{4} +(-223.373 + 50.9834i) q^{5} +211.741 q^{6} +193.213i q^{7} +(121.123 - 27.6454i) q^{8} +(252.771 - 316.965i) q^{9} +(600.121 - 2629.30i) q^{10} +(1251.38 - 1569.18i) q^{11} +(-581.893 + 1208.31i) q^{12} +(771.627 + 3380.72i) q^{13} +(-2049.07 - 986.780i) q^{14} +(2569.70 + 3222.30i) q^{15} +(736.345 - 3226.14i) q^{16} +(314.866 - 1379.52i) q^{17} +(2070.53 + 4299.50i) q^{18} +(223.512 - 178.245i) q^{19} +(13355.0 + 10650.3i) q^{20} +(3131.42 - 1508.01i) q^{21} +(10250.5 + 21285.3i) q^{22} +(-5139.50 + 6444.73i) q^{23} +(-1393.41 - 1747.27i) q^{24} +(33218.4 - 15997.1i) q^{25} +(-39794.2 - 9082.76i) q^{26} +(-19894.8 - 4540.85i) q^{27} +(11262.2 - 8981.32i) q^{28} +(19249.8 - 39972.7i) q^{29} +(-47297.2 + 10795.3i) q^{30} +(-10822.8 - 5211.99i) q^{31} +(36669.8 + 29243.2i) q^{32} +(-35198.8 - 8033.90i) q^{33} +(13022.0 + 10384.7i) q^{34} +(-9850.65 - 43158.5i) q^{35} -30225.4 q^{36} -11119.1i q^{37} +(748.806 + 3280.73i) q^{38} +(48769.1 - 38892.1i) q^{39} +(-25646.0 + 12350.5i) q^{40} +(-60151.0 - 28967.2i) q^{41} +40911.2i q^{42} +(74151.0 + 28687.8i) q^{43} -149636. q^{44} +(-40302.2 + 83688.4i) q^{45} +(-42099.3 - 87420.2i) q^{46} +(-22922.5 - 28743.9i) q^{47} +(-58033.4 + 13245.8i) q^{48} +80317.7 q^{49} +433990. i q^{50} +(-24815.5 + 5663.97i) q^{51} +(161191. - 202127. i) q^{52} +(51702.9 - 226525. i) q^{53} +(149764. - 187798. i) q^{54} +(-199522. + 414312. i) q^{55} +(5341.46 + 23402.5i) q^{56} +(-4633.33 - 2231.29i) q^{57} +(325607. + 408298. i) q^{58} +(22342.0 - 97886.6i) q^{59} +(68375.1 - 299571. i) q^{60} +(95119.6 + 197518. i) q^{61} +(110549. - 88159.7i) q^{62} +(61241.8 + 48838.7i) q^{63} +(-306602. + 147652. i) q^{64} +(-344721. - 715820. i) q^{65} +(264969. - 332261. i) q^{66} +(-255441. - 320313. i) q^{67} +(-95047.2 + 45772.3i) q^{68} +(144564. + 32995.7i) q^{69} +(508015. + 115951. i) q^{70} +(-94739.7 + 75552.4i) q^{71} +(21853.7 - 45379.6i) q^{72} +(56840.9 - 12973.6i) q^{73} +(117921. + 56787.8i) q^{74} +(-518534. - 413517. i) q^{75} +(-20779.5 - 4742.78i) q^{76} +(303187. + 241783. i) q^{77} +(163385. + 715838. i) q^{78} +749591. q^{79} +758173. i q^{80} +(15917.9 + 69741.1i) q^{81} +(614408. - 489974. i) q^{82} +(-404629. + 194859. i) q^{83} +(-233462. - 112429. i) q^{84} +324200. i q^{85} +(-682946. + 639874. i) q^{86} -798085. q^{87} +(108190. - 224659. i) q^{88} +(164919. + 342458. i) q^{89} +(-681703. - 854829. i) q^{90} +(-653199. + 149088. i) q^{91} +614562. q^{92} +216085. i q^{93} +(421906. - 96297.4i) q^{94} +(-40839.0 + 51210.4i) q^{95} +(187742. - 822551. i) q^{96} +(54368.0 - 68175.4i) q^{97} +(-410200. + 851788. i) q^{98} +(-181063. - 793288. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.10721 + 10.6052i −0.638401 + 1.32565i 0.291049 + 0.956708i \(0.405996\pi\)
−0.929451 + 0.368946i \(0.879719\pi\)
\(3\) −7.80492 16.2071i −0.289071 0.600263i 0.704974 0.709233i \(-0.250959\pi\)
−0.994045 + 0.108971i \(0.965244\pi\)
\(4\) −46.4840 58.2891i −0.726313 0.910768i
\(5\) −223.373 + 50.9834i −1.78698 + 0.407867i −0.982523 0.186142i \(-0.940402\pi\)
−0.804458 + 0.594009i \(0.797544\pi\)
\(6\) 211.741 0.980284
\(7\) 193.213i 0.563303i 0.959517 + 0.281652i \(0.0908822\pi\)
−0.959517 + 0.281652i \(0.909118\pi\)
\(8\) 121.123 27.6454i 0.236568 0.0539950i
\(9\) 252.771 316.965i 0.346737 0.434794i
\(10\) 600.121 2629.30i 0.600121 2.62930i
\(11\) 1251.38 1569.18i 0.940181 1.17895i −0.0435040 0.999053i \(-0.513852\pi\)
0.983685 0.179897i \(-0.0575765\pi\)
\(12\) −581.893 + 1208.31i −0.336744 + 0.699255i
\(13\) 771.627 + 3380.72i 0.351219 + 1.53879i 0.774372 + 0.632731i \(0.218066\pi\)
−0.423153 + 0.906058i \(0.639077\pi\)
\(14\) −2049.07 986.780i −0.746745 0.359614i
\(15\) 2569.70 + 3222.30i 0.761392 + 0.954756i
\(16\) 736.345 3226.14i 0.179772 0.787632i
\(17\) 314.866 1379.52i 0.0640884 0.280789i −0.932722 0.360596i \(-0.882573\pi\)
0.996810 + 0.0798069i \(0.0254304\pi\)
\(18\) 2070.53 + 4299.50i 0.355030 + 0.737226i
\(19\) 223.512 178.245i 0.0325867 0.0259870i −0.607061 0.794655i \(-0.707652\pi\)
0.639648 + 0.768668i \(0.279080\pi\)
\(20\) 13355.0 + 10650.3i 1.66938 + 1.33129i
\(21\) 3131.42 1508.01i 0.338130 0.162835i
\(22\) 10250.5 + 21285.3i 0.962667 + 1.99900i
\(23\) −5139.50 + 6444.73i −0.422413 + 0.529689i −0.946814 0.321782i \(-0.895718\pi\)
0.524401 + 0.851472i \(0.324289\pi\)
\(24\) −1393.41 1747.27i −0.100796 0.126394i
\(25\) 33218.4 15997.1i 2.12598 1.02382i
\(26\) −39794.2 9082.76i −2.26412 0.516771i
\(27\) −19894.8 4540.85i −1.01076 0.230699i
\(28\) 11262.2 8981.32i 0.513039 0.409135i
\(29\) 19249.8 39972.7i 0.789284 1.63896i 0.0202177 0.999796i \(-0.493564\pi\)
0.769066 0.639169i \(-0.220722\pi\)
\(30\) −47297.2 + 10795.3i −1.75175 + 0.399825i
\(31\) −10822.8 5211.99i −0.363291 0.174952i 0.243329 0.969944i \(-0.421761\pi\)
−0.606620 + 0.794992i \(0.707475\pi\)
\(32\) 36669.8 + 29243.2i 1.11907 + 0.892431i
\(33\) −35198.8 8033.90i −0.979459 0.223555i
\(34\) 13022.0 + 10384.7i 0.331316 + 0.264215i
\(35\) −9850.65 43158.5i −0.229753 1.00661i
\(36\) −30225.4 −0.647836
\(37\) 11119.1i 0.219516i −0.993958 0.109758i \(-0.964992\pi\)
0.993958 0.109758i \(-0.0350076\pi\)
\(38\) 748.806 + 3280.73i 0.0136464 + 0.0597888i
\(39\) 48769.1 38892.1i 0.822150 0.655643i
\(40\) −25646.0 + 12350.5i −0.400719 + 0.192976i
\(41\) −60151.0 28967.2i −0.872753 0.420296i −0.0567808 0.998387i \(-0.518084\pi\)
−0.815972 + 0.578091i \(0.803798\pi\)
\(42\) 40911.2i 0.552197i
\(43\) 74151.0 + 28687.8i 0.932635 + 0.360821i
\(44\) −149636. −1.75662
\(45\) −40302.2 + 83688.4i −0.442274 + 0.918392i
\(46\) −42099.3 87420.2i −0.432516 0.898128i
\(47\) −22922.5 28743.9i −0.220785 0.276855i 0.659087 0.752067i \(-0.270943\pi\)
−0.879872 + 0.475212i \(0.842371\pi\)
\(48\) −58033.4 + 13245.8i −0.524753 + 0.119771i
\(49\) 80317.7 0.682689
\(50\) 433990.i 3.47192i
\(51\) −24815.5 + 5663.97i −0.187074 + 0.0426983i
\(52\) 161191. 202127.i 1.14638 1.43752i
\(53\) 51702.9 226525.i 0.347286 1.52156i −0.436028 0.899933i \(-0.643615\pi\)
0.783314 0.621627i \(-0.213528\pi\)
\(54\) 149764. 187798.i 0.951098 1.19264i
\(55\) −199522. + 414312.i −1.19923 + 2.49023i
\(56\) 5341.46 + 23402.5i 0.0304156 + 0.133259i
\(57\) −4633.33 2231.29i −0.0250189 0.0120485i
\(58\) 325607. + 408298.i 1.66882 + 2.09264i
\(59\) 22342.0 97886.6i 0.108784 0.476615i −0.890962 0.454078i \(-0.849969\pi\)
0.999746 0.0225365i \(-0.00717418\pi\)
\(60\) 68375.1 299571.i 0.316552 1.38690i
\(61\) 95119.6 + 197518.i 0.419064 + 0.870196i 0.998477 + 0.0551619i \(0.0175675\pi\)
−0.579413 + 0.815034i \(0.696718\pi\)
\(62\) 110549. 88159.7i 0.463851 0.369909i
\(63\) 61241.8 + 48838.7i 0.244921 + 0.195318i
\(64\) −306602. + 147652.i −1.16959 + 0.563246i
\(65\) −344721. 715820.i −1.25524 2.60654i
\(66\) 264969. 332261.i 0.921645 1.15571i
\(67\) −255441. 320313.i −0.849311 1.06500i −0.997109 0.0759842i \(-0.975790\pi\)
0.147799 0.989017i \(-0.452781\pi\)
\(68\) −95047.2 + 45772.3i −0.302282 + 0.145571i
\(69\) 144564. + 32995.7i 0.440060 + 0.100441i
\(70\) 508015. + 115951.i 1.48109 + 0.338050i
\(71\) −94739.7 + 75552.4i −0.264702 + 0.211093i −0.746842 0.665001i \(-0.768431\pi\)
0.482140 + 0.876094i \(0.339860\pi\)
\(72\) 21853.7 45379.6i 0.0585500 0.121580i
\(73\) 56840.9 12973.6i 0.146114 0.0333496i −0.148838 0.988862i \(-0.547553\pi\)
0.294952 + 0.955512i \(0.404696\pi\)
\(74\) 117921. + 56787.8i 0.291002 + 0.140139i
\(75\) −518534. 413517.i −1.22912 0.980189i
\(76\) −20779.5 4742.78i −0.0473363 0.0108042i
\(77\) 303187. + 241783.i 0.664107 + 0.529607i
\(78\) 163385. + 715838.i 0.344294 + 1.50845i
\(79\) 749591. 1.52035 0.760175 0.649719i \(-0.225113\pi\)
0.760175 + 0.649719i \(0.225113\pi\)
\(80\) 758173.i 1.48081i
\(81\) 15917.9 + 69741.1i 0.0299524 + 0.131230i
\(82\) 614408. 489974.i 1.11433 0.888652i
\(83\) −404629. + 194859.i −0.707656 + 0.340789i −0.752853 0.658189i \(-0.771323\pi\)
0.0451966 + 0.998978i \(0.485609\pi\)
\(84\) −233462. 112429.i −0.393893 0.189689i
\(85\) 324200.i 0.527905i
\(86\) −682946. + 639874.i −1.07372 + 1.00600i
\(87\) −798085. −1.21197
\(88\) 108190. 224659.i 0.158759 0.329667i
\(89\) 164919. + 342458.i 0.233938 + 0.485777i 0.984581 0.174931i \(-0.0559703\pi\)
−0.750643 + 0.660708i \(0.770256\pi\)
\(90\) −681703. 854829.i −0.935121 1.17260i
\(91\) −653199. + 149088.i −0.866805 + 0.197843i
\(92\) 614562. 0.789228
\(93\) 216085.i 0.268644i
\(94\) 421906. 96297.4i 0.507963 0.115939i
\(95\) −40839.0 + 51210.4i −0.0476326 + 0.0597293i
\(96\) 187742. 822551.i 0.212201 0.929714i
\(97\) 54368.0 68175.4i 0.0595701 0.0746986i −0.751154 0.660127i \(-0.770502\pi\)
0.810724 + 0.585429i \(0.199074\pi\)
\(98\) −410200. + 851788.i −0.435830 + 0.905010i
\(99\) −181063. 793288.i −0.186605 0.817571i
\(100\) −2.47659e6 1.19266e6i −2.47659 1.19266i
\(101\) 773222. + 969590.i 0.750482 + 0.941075i 0.999625 0.0273920i \(-0.00872022\pi\)
−0.249143 + 0.968467i \(0.580149\pi\)
\(102\) 66670.2 292101.i 0.0628248 0.275253i
\(103\) 167594. 734275.i 0.153372 0.671966i −0.838519 0.544872i \(-0.816578\pi\)
0.991891 0.127093i \(-0.0405648\pi\)
\(104\) 186923. + 388150.i 0.166174 + 0.345064i
\(105\) −622590. + 496499.i −0.537817 + 0.428895i
\(106\) 2.13830e6 + 1.70523e6i 1.79535 + 1.43175i
\(107\) 582936. 280727.i 0.475849 0.229157i −0.180557 0.983565i \(-0.557790\pi\)
0.656406 + 0.754408i \(0.272076\pi\)
\(108\) 660107. + 1.37073e6i 0.524014 + 1.08813i
\(109\) 368112. 461597.i 0.284250 0.356438i −0.619123 0.785294i \(-0.712512\pi\)
0.903373 + 0.428856i \(0.141083\pi\)
\(110\) −3.37488e6 4.23196e6i −2.53559 3.17953i
\(111\) −180209. + 86784.0i −0.131767 + 0.0634557i
\(112\) 623332. + 142271.i 0.443675 + 0.101266i
\(113\) −21124.0 4821.41i −0.0146400 0.00334148i 0.215195 0.976571i \(-0.430961\pi\)
−0.229835 + 0.973230i \(0.573819\pi\)
\(114\) 47326.8 37741.8i 0.0319442 0.0254747i
\(115\) 819450. 1.70161e6i 0.538802 1.11883i
\(116\) −3.22479e6 + 736036.i −2.06598 + 0.471547i
\(117\) 1.26661e6 + 609969.i 0.790837 + 0.380847i
\(118\) 924005. + 736870.i 0.562378 + 0.448482i
\(119\) 266541. + 60836.2i 0.158170 + 0.0361012i
\(120\) 400331. + 319253.i 0.231673 + 0.184753i
\(121\) −502170. 2.20015e6i −0.283462 1.24193i
\(122\) −2.58052e6 −1.42111
\(123\) 1.20096e6i 0.645377i
\(124\) 199286. + 873127.i 0.104523 + 0.457944i
\(125\) −3.80557e6 + 3.03484e6i −1.94845 + 1.55384i
\(126\) −830720. + 400054.i −0.415282 + 0.199989i
\(127\) −1.05771e6 509368.i −0.516365 0.248668i 0.157505 0.987518i \(-0.449655\pi\)
−0.673870 + 0.738850i \(0.735369\pi\)
\(128\) 1.00391e6i 0.478703i
\(129\) −113798. 1.42568e6i −0.0530107 0.664129i
\(130\) 9.35200e6 4.25672
\(131\) 1.36148e6 2.82714e6i 0.605617 1.25758i −0.342460 0.939533i \(-0.611260\pi\)
0.948076 0.318043i \(-0.103026\pi\)
\(132\) 1.16789e6 + 2.42516e6i 0.507787 + 1.05443i
\(133\) 34439.2 + 43185.4i 0.0146386 + 0.0183562i
\(134\) 4.70159e6 1.07311e6i 1.95403 0.445993i
\(135\) 4.67546e6 1.90030
\(136\) 175796.i 0.0698861i
\(137\) −1.10748e6 + 252775.i −0.430700 + 0.0983044i −0.432374 0.901694i \(-0.642324\pi\)
0.00167463 + 0.999999i \(0.499467\pi\)
\(138\) −1.08824e6 + 1.36462e6i −0.414085 + 0.519246i
\(139\) 404884. 1.77391e6i 0.150760 0.660523i −0.841905 0.539626i \(-0.818566\pi\)
0.992665 0.120897i \(-0.0385771\pi\)
\(140\) −2.05777e6 + 2.58037e6i −0.749918 + 0.940367i
\(141\) −286947. + 595852.i −0.102363 + 0.212560i
\(142\) −317395. 1.39060e6i −0.110850 0.485665i
\(143\) 6.27057e6 + 3.01975e6i 2.14436 + 1.03267i
\(144\) −836446. 1.04887e6i −0.280124 0.351265i
\(145\) −2.26195e6 + 9.91023e6i −0.741956 + 3.25072i
\(146\) −152711. + 669069.i −0.0490694 + 0.214987i
\(147\) −626874. 1.30172e6i −0.197346 0.409793i
\(148\) −648125. + 516862.i −0.199928 + 0.159437i
\(149\) −1.80641e6 1.44056e6i −0.546081 0.435485i 0.311192 0.950347i \(-0.399272\pi\)
−0.857273 + 0.514862i \(0.827843\pi\)
\(150\) 7.03371e6 3.38726e6i 2.08406 1.00363i
\(151\) −1.04963e6 2.17958e6i −0.304864 0.633056i 0.691105 0.722754i \(-0.257124\pi\)
−0.995969 + 0.0896982i \(0.971410\pi\)
\(152\) 22144.7 27768.6i 0.00630578 0.00790720i
\(153\) −357670. 448504.i −0.0998638 0.125225i
\(154\) −4.11261e6 + 1.98053e6i −1.12604 + 0.542274i
\(155\) 2.68325e6 + 612433.i 0.720552 + 0.164461i
\(156\) −4.53397e6 1.03485e6i −1.19428 0.272586i
\(157\) 4.61084e6 3.67702e6i 1.19146 0.950161i 0.191953 0.981404i \(-0.438518\pi\)
0.999512 + 0.0312427i \(0.00994647\pi\)
\(158\) −3.82832e6 + 7.94959e6i −0.970593 + 2.01546i
\(159\) −4.07485e6 + 930059.i −1.01373 + 0.231376i
\(160\) −9.68194e6 4.66258e6i −2.36376 1.13832i
\(161\) −1.24521e6 993018.i −0.298376 0.237947i
\(162\) −820917. 187369.i −0.193088 0.0440710i
\(163\) −3.21405e6 2.56312e6i −0.742147 0.591842i 0.177716 0.984082i \(-0.443129\pi\)
−0.919863 + 0.392239i \(0.871701\pi\)
\(164\) 1.10759e6 + 4.85266e6i 0.251100 + 1.10014i
\(165\) 8.27205e6 1.84146
\(166\) 5.28637e6i 1.15567i
\(167\) −1.00033e6 4.38275e6i −0.214781 0.941016i −0.961268 0.275616i \(-0.911118\pi\)
0.746487 0.665400i \(-0.231739\pi\)
\(168\) 337596. 269224.i 0.0711983 0.0567788i
\(169\) −6.48505e6 + 3.12304e6i −1.34355 + 0.647019i
\(170\) −3.43821e6 1.65576e6i −0.699820 0.337015i
\(171\) 115901.i 0.0231792i
\(172\) −1.77465e6 5.65572e6i −0.348761 1.11148i
\(173\) 8.45341e6 1.63265 0.816326 0.577591i \(-0.196007\pi\)
0.816326 + 0.577591i \(0.196007\pi\)
\(174\) 4.07599e6 8.46388e6i 0.773722 1.60665i
\(175\) 3.09086e6 + 6.41823e6i 0.576720 + 1.19757i
\(176\) −4.14095e6 5.19259e6i −0.759560 0.952459i
\(177\) −1.76084e6 + 401899.i −0.317540 + 0.0724765i
\(178\) −4.47412e6 −0.793319
\(179\) 6.98497e6i 1.21788i 0.793215 + 0.608941i \(0.208405\pi\)
−0.793215 + 0.608941i \(0.791595\pi\)
\(180\) 6.75154e6 1.54099e6i 1.15767 0.264231i
\(181\) −1.59692e6 + 2.00248e6i −0.269307 + 0.337700i −0.898034 0.439926i \(-0.855005\pi\)
0.628727 + 0.777626i \(0.283576\pi\)
\(182\) 1.75491e6 7.68875e6i 0.291099 1.27539i
\(183\) 2.45879e6 3.08322e6i 0.401207 0.503097i
\(184\) −444342. + 922686.i −0.0713287 + 0.148116i
\(185\) 566891. + 2.48371e6i 0.0895332 + 0.392271i
\(186\) −2.29164e6 1.10359e6i −0.356129 0.171503i
\(187\) −1.77070e6 2.22039e6i −0.270782 0.339550i
\(188\) −609928. + 2.67227e6i −0.0917920 + 0.402167i
\(189\) 877352. 3.84393e6i 0.129954 0.569364i
\(190\) −334525. 694649.i −0.0487718 0.101276i
\(191\) −3.99722e6 + 3.18768e6i −0.573665 + 0.457482i −0.866847 0.498574i \(-0.833857\pi\)
0.293182 + 0.956057i \(0.405286\pi\)
\(192\) 4.78600e6 + 3.81671e6i 0.676191 + 0.539244i
\(193\) −7.92562e6 + 3.81678e6i −1.10246 + 0.530915i −0.894430 0.447208i \(-0.852418\pi\)
−0.208026 + 0.978123i \(0.566704\pi\)
\(194\) 445347. + 924772.i 0.0609948 + 0.126657i
\(195\) −8.91084e6 + 1.11738e7i −1.20175 + 1.50695i
\(196\) −3.73349e6 4.68165e6i −0.495846 0.621772i
\(197\) −5.59167e6 + 2.69281e6i −0.731380 + 0.352214i −0.762227 0.647310i \(-0.775894\pi\)
0.0308467 + 0.999524i \(0.490180\pi\)
\(198\) 9.33773e6 + 2.13128e6i 1.20295 + 0.274564i
\(199\) −5.34283e6 1.21947e6i −0.677972 0.154743i −0.130350 0.991468i \(-0.541610\pi\)
−0.547623 + 0.836725i \(0.684467\pi\)
\(200\) 3.58125e6 2.85595e6i 0.447657 0.356994i
\(201\) −3.19764e6 + 6.63998e6i −0.393769 + 0.817671i
\(202\) −1.42317e7 + 3.24830e6i −1.72665 + 0.394096i
\(203\) 7.72325e6 + 3.71932e6i 0.923234 + 0.444606i
\(204\) 1.48367e6 + 1.18319e6i 0.174762 + 0.139368i
\(205\) 1.49129e7 + 3.40378e6i 1.73102 + 0.395094i
\(206\) 6.93123e6 + 5.52747e6i 0.792882 + 0.632302i
\(207\) 743636. + 3.25808e6i 0.0838396 + 0.367325i
\(208\) 1.14749e7 1.27514
\(209\) 573784.i 0.0628506i
\(210\) −2.08579e6 9.13844e6i −0.225223 0.986766i
\(211\) 7.92902e6 6.32319e6i 0.844058 0.673114i −0.102822 0.994700i \(-0.532787\pi\)
0.946880 + 0.321586i \(0.104216\pi\)
\(212\) −1.56073e7 + 7.51609e6i −1.63803 + 0.788832i
\(213\) 1.96392e6 + 945774.i 0.203229 + 0.0978698i
\(214\) 7.61590e6i 0.777105i
\(215\) −1.80259e7 2.62760e6i −1.81377 0.264389i
\(216\) −2.53524e6 −0.251570
\(217\) 1.00702e6 2.09111e6i 0.0985510 0.204643i
\(218\) 3.01532e6 + 6.26139e6i 0.291048 + 0.604367i
\(219\) −653902. 819968.i −0.0622559 0.0780664i
\(220\) 3.34245e7 7.62892e6i 3.13904 0.716465i
\(221\) 4.90672e6 0.454585
\(222\) 2.35438e6i 0.215188i
\(223\) 1.25035e7 2.85385e6i 1.12750 0.257345i 0.382206 0.924077i \(-0.375165\pi\)
0.745298 + 0.666732i \(0.232307\pi\)
\(224\) −5.65016e6 + 7.08508e6i −0.502709 + 0.630378i
\(225\) 3.32612e6 1.45727e7i 0.292005 1.27936i
\(226\) 159017. 199401.i 0.0137758 0.0172743i
\(227\) 9.22704e6 1.91601e7i 0.788832 1.63803i 0.0189671 0.999820i \(-0.493962\pi\)
0.769865 0.638207i \(-0.220323\pi\)
\(228\) 85315.6 + 373792.i 0.00719820 + 0.0315374i
\(229\) −3.42151e6 1.64771e6i −0.284912 0.137207i 0.285970 0.958239i \(-0.407684\pi\)
−0.570882 + 0.821032i \(0.693399\pi\)
\(230\) 1.38608e7 + 1.73809e7i 1.13921 + 1.42853i
\(231\) 1.55225e6 6.80087e6i 0.125929 0.551733i
\(232\) 1.22653e6 5.37377e6i 0.0982231 0.430343i
\(233\) −7.19241e6 1.49352e7i −0.568600 1.18071i −0.964907 0.262592i \(-0.915423\pi\)
0.396307 0.918118i \(-0.370292\pi\)
\(234\) −1.29377e7 + 1.03175e7i −1.00974 + 0.805243i
\(235\) 6.58573e6 + 5.25194e6i 0.507458 + 0.404684i
\(236\) −6.74427e6 + 3.24787e6i −0.513097 + 0.247094i
\(237\) −5.85050e6 1.21487e7i −0.439489 0.912609i
\(238\) −2.00646e6 + 2.51603e6i −0.148833 + 0.186631i
\(239\) 9.04094e6 + 1.13370e7i 0.662247 + 0.830431i 0.993586 0.113081i \(-0.0360719\pi\)
−0.331339 + 0.943512i \(0.607500\pi\)
\(240\) 1.22878e7 5.91748e6i 0.888872 0.428058i
\(241\) −2.65115e7 6.05107e6i −1.89401 0.432296i −0.894133 0.447802i \(-0.852207\pi\)
−0.999880 + 0.0155062i \(0.995064\pi\)
\(242\) 2.58978e7 + 5.91100e6i 1.82733 + 0.417076i
\(243\) −1.06247e7 + 8.47290e6i −0.740452 + 0.590491i
\(244\) 7.09161e6 1.47259e7i 0.488175 1.01370i
\(245\) −1.79408e7 + 4.09487e6i −1.21995 + 0.278446i
\(246\) −1.27365e7 6.13356e6i −0.855546 0.412009i
\(247\) 775064. + 618093.i 0.0514336 + 0.0410169i
\(248\) −1.45498e6 332089.i −0.0953895 0.0217720i
\(249\) 6.31619e6 + 5.03699e6i 0.409126 + 0.326267i
\(250\) −1.27494e7 5.58586e7i −0.815959 3.57495i
\(251\) −3.99842e6 −0.252853 −0.126426 0.991976i \(-0.540351\pi\)
−0.126426 + 0.991976i \(0.540351\pi\)
\(252\) 5.83995e6i 0.364928i
\(253\) 3.68148e6 + 1.61296e7i 0.227332 + 0.996008i
\(254\) 1.08039e7 8.61585e6i 0.659296 0.525771i
\(255\) 5.25433e6 2.53035e6i 0.316882 0.152602i
\(256\) −8.97576e6 4.32250e6i −0.534997 0.257641i
\(257\) 4.12374e6i 0.242936i 0.992595 + 0.121468i \(0.0387602\pi\)
−0.992595 + 0.121468i \(0.961240\pi\)
\(258\) 1.57008e7 + 6.07439e6i 0.914248 + 0.353707i
\(259\) 2.14836e6 0.123654
\(260\) −2.57005e7 + 5.33677e7i −1.46225 + 3.03640i
\(261\) −7.80414e6 1.62055e7i −0.438939 0.911465i
\(262\) 2.30292e7 + 2.88777e7i 1.28048 + 1.60568i
\(263\) −1.42719e7 + 3.25747e6i −0.784539 + 0.179066i −0.595984 0.802997i \(-0.703238\pi\)
−0.188556 + 0.982063i \(0.560381\pi\)
\(264\) −4.48547e6 −0.243779
\(265\) 5.32355e7i 2.86065i
\(266\) −633880. + 144679.i −0.0336792 + 0.00768707i
\(267\) 4.26307e6 5.34572e6i 0.223969 0.280848i
\(268\) −6.79684e6 + 2.97789e7i −0.353104 + 1.54705i
\(269\) 5.17499e6 6.48923e6i 0.265860 0.333378i −0.630926 0.775843i \(-0.717325\pi\)
0.896785 + 0.442466i \(0.145896\pi\)
\(270\) −2.38786e7 + 4.95843e7i −1.21316 + 2.51914i
\(271\) −5.82341e6 2.55140e7i −0.292597 1.28195i −0.880897 0.473308i \(-0.843060\pi\)
0.588300 0.808643i \(-0.299797\pi\)
\(272\) −4.21867e6 2.03160e6i −0.209637 0.100956i
\(273\) 7.51446e6 + 9.42283e6i 0.369326 + 0.463120i
\(274\) 2.97540e6 1.30361e7i 0.144642 0.633717i
\(275\) 1.64665e7 7.21443e7i 0.791776 3.46900i
\(276\) −4.79661e6 9.96027e6i −0.228143 0.473744i
\(277\) 1.19693e7 9.54520e6i 0.563157 0.449103i −0.300071 0.953917i \(-0.597010\pi\)
0.863228 + 0.504814i \(0.168439\pi\)
\(278\) 1.67449e7 + 1.33536e7i 0.779379 + 0.621534i
\(279\) −4.38771e6 + 2.11301e6i −0.202035 + 0.0972947i
\(280\) −2.38627e6 4.95515e6i −0.108704 0.225726i
\(281\) 2.47365e6 3.10185e6i 0.111486 0.139798i −0.722958 0.690892i \(-0.757218\pi\)
0.834443 + 0.551094i \(0.185789\pi\)
\(282\) −4.85365e6 6.08628e6i −0.216432 0.271397i
\(283\) 2.65081e7 1.27656e7i 1.16955 0.563227i 0.254702 0.967019i \(-0.418022\pi\)
0.914851 + 0.403792i \(0.132308\pi\)
\(284\) 8.80776e6 + 2.01031e6i 0.384513 + 0.0877625i
\(285\) 1.14872e6 + 262187.i 0.0496225 + 0.0113260i
\(286\) −6.40502e7 + 5.10783e7i −2.73793 + 2.18343i
\(287\) 5.59684e6 1.16220e7i 0.236754 0.491625i
\(288\) 1.85381e7 4.23121e6i 0.776048 0.177128i
\(289\) 1.99433e7 + 9.60417e6i 0.826233 + 0.397893i
\(290\) −9.35481e7 7.46021e7i −3.83567 3.05884i
\(291\) −1.52926e6 349044.i −0.0620588 0.0141645i
\(292\) −3.39841e6 2.71014e6i −0.136498 0.108854i
\(293\) 1.52240e6 + 6.67008e6i 0.0605238 + 0.265172i 0.996132 0.0878674i \(-0.0280052\pi\)
−0.935608 + 0.353040i \(0.885148\pi\)
\(294\) 1.70066e7 0.669230
\(295\) 2.30043e7i 0.896071i
\(296\) −307394. 1.34678e6i −0.0118528 0.0519303i
\(297\) −3.20214e7 + 2.55362e7i −1.22228 + 0.974736i
\(298\) 2.45032e7 1.18001e7i 0.925922 0.445901i
\(299\) −2.57536e7 1.24023e7i −0.963439 0.463968i
\(300\) 4.94469e7i 1.83137i
\(301\) −5.54285e6 + 1.43269e7i −0.203252 + 0.525356i
\(302\) 2.84756e7 1.03384
\(303\) 9.67930e6 2.00993e7i 0.347949 0.722524i
\(304\) −410461. 852331.i −0.0146100 0.0303380i
\(305\) −3.13172e7 3.92706e7i −1.10378 1.38410i
\(306\) 6.58319e6 1.50257e6i 0.229759 0.0524409i
\(307\) 4.18713e7 1.44711 0.723555 0.690267i \(-0.242507\pi\)
0.723555 + 0.690267i \(0.242507\pi\)
\(308\) 2.89115e7i 0.989508i
\(309\) −1.32085e7 + 3.01476e6i −0.447691 + 0.102183i
\(310\) −2.01989e7 + 2.53286e7i −0.678020 + 0.850210i
\(311\) −1.46226e6 + 6.40660e6i −0.0486121 + 0.212984i −0.993400 0.114698i \(-0.963410\pi\)
0.944788 + 0.327681i \(0.106267\pi\)
\(312\) 4.83186e6 6.05896e6i 0.159093 0.199496i
\(313\) 2.55161e6 5.29847e6i 0.0832111 0.172790i −0.855212 0.518279i \(-0.826573\pi\)
0.938423 + 0.345490i \(0.112287\pi\)
\(314\) 1.54472e7 + 6.76784e7i 0.498953 + 2.18605i
\(315\) −1.61697e7 7.78691e6i −0.517333 0.249134i
\(316\) −3.48440e7 4.36930e7i −1.10425 1.38469i
\(317\) −1.13411e6 + 4.96888e6i −0.0356024 + 0.155984i −0.989605 0.143816i \(-0.954063\pi\)
0.954002 + 0.299800i \(0.0969199\pi\)
\(318\) 1.09476e7 4.79648e7i 0.340439 1.49156i
\(319\) −3.86356e7 8.02276e7i −1.19019 2.47145i
\(320\) 6.09586e7 4.86129e7i 1.86031 1.48355i
\(321\) −9.09953e6 7.25664e6i −0.275109 0.219392i
\(322\) 1.68907e7 8.13414e6i 0.505918 0.243637i
\(323\) −175516. 364462.i −0.00520845 0.0108155i
\(324\) 3.32522e6 4.16969e6i 0.0977654 0.122594i
\(325\) 7.97141e7 + 9.99583e7i 2.32212 + 2.91185i
\(326\) 4.35973e7 2.09954e7i 1.25837 0.605997i
\(327\) −1.03542e7 2.36329e6i −0.296125 0.0675885i
\(328\) −8.08646e6 1.84568e6i −0.229159 0.0523041i
\(329\) 5.55370e6 4.42893e6i 0.155953 0.124369i
\(330\) −4.22471e7 + 8.77270e7i −1.17559 + 2.44113i
\(331\) −9.76974e6 + 2.22988e6i −0.269401 + 0.0614890i −0.355087 0.934833i \(-0.615549\pi\)
0.0856864 + 0.996322i \(0.472692\pi\)
\(332\) 3.01669e7 + 1.45276e7i 0.824360 + 0.396991i
\(333\) −3.52438e6 2.81060e6i −0.0954442 0.0761142i
\(334\) 5.15890e7 + 1.17748e7i 1.38458 + 0.316021i
\(335\) 7.33892e7 + 5.85259e7i 1.95208 + 1.55673i
\(336\) −2.55925e6 1.12128e7i −0.0674676 0.295595i
\(337\) −5.08614e7 −1.32892 −0.664459 0.747325i \(-0.731338\pi\)
−0.664459 + 0.747325i \(0.731338\pi\)
\(338\) 8.47255e7i 2.19414i
\(339\) 86729.9 + 379989.i 0.00222623 + 0.00975375i
\(340\) 1.88973e7 1.50701e7i 0.480799 0.383424i
\(341\) −2.17220e7 + 1.04608e7i −0.547819 + 0.263816i
\(342\) 1.22915e6 + 591929.i 0.0307275 + 0.0147976i
\(343\) 3.82497e7i 0.947864i
\(344\) 9.77445e6 + 1.42480e6i 0.240114 + 0.0350009i
\(345\) −3.39738e7 −0.827346
\(346\) −4.31734e7 + 8.96504e7i −1.04229 + 2.16433i
\(347\) 7.35240e6 + 1.52674e7i 0.175971 + 0.365407i 0.970235 0.242165i \(-0.0778577\pi\)
−0.794264 + 0.607573i \(0.792143\pi\)
\(348\) 3.70982e7 + 4.65197e7i 0.880269 + 1.10382i
\(349\) 2.85357e7 6.51309e6i 0.671294 0.153218i 0.126729 0.991937i \(-0.459552\pi\)
0.544565 + 0.838719i \(0.316695\pi\)
\(350\) −8.38525e7 −1.95574
\(351\) 7.07625e7i 1.63637i
\(352\) 9.17758e7 2.09472e7i 2.10426 0.480284i
\(353\) 6.30440e6 7.90546e6i 0.143324 0.179723i −0.704988 0.709219i \(-0.749048\pi\)
0.848312 + 0.529496i \(0.177619\pi\)
\(354\) 4.73072e6 2.07267e7i 0.106639 0.467218i
\(355\) 1.73103e7 2.17065e7i 0.386919 0.485182i
\(356\) 1.22955e7 2.55318e7i 0.272518 0.565890i
\(357\) −1.09435e6 4.79468e6i −0.0240521 0.105379i
\(358\) −7.40772e7 3.56737e7i −1.61449 0.777498i
\(359\) −359904. 451305.i −0.00777864 0.00975410i 0.777927 0.628355i \(-0.216271\pi\)
−0.785706 + 0.618601i \(0.787700\pi\)
\(360\) −2.56791e6 + 1.12507e7i −0.0550392 + 0.241142i
\(361\) −1.04505e7 + 4.57867e7i −0.222134 + 0.973234i
\(362\) −1.30809e7 2.71628e7i −0.275748 0.572597i
\(363\) −3.17386e7 + 2.53107e7i −0.663541 + 0.529157i
\(364\) 3.90536e7 + 3.11442e7i 0.809760 + 0.645762i
\(365\) −1.20353e7 + 5.79588e6i −0.247501 + 0.119190i
\(366\) 2.01408e7 + 4.18227e7i 0.410802 + 0.853039i
\(367\) −3.98378e7 + 4.99551e7i −0.805931 + 1.01061i 0.193633 + 0.981074i \(0.437973\pi\)
−0.999564 + 0.0295311i \(0.990599\pi\)
\(368\) 1.70071e7 + 2.13263e7i 0.341262 + 0.427929i
\(369\) −2.43860e7 + 1.17437e7i −0.485358 + 0.233736i
\(370\) −2.92356e7 6.67283e6i −0.577174 0.131736i
\(371\) 4.37676e7 + 9.98968e6i 0.857100 + 0.195627i
\(372\) 1.25954e7 1.00445e7i 0.244672 0.195120i
\(373\) −3.14596e7 + 6.53266e7i −0.606215 + 1.25882i 0.341554 + 0.939862i \(0.389047\pi\)
−0.947769 + 0.318957i \(0.896667\pi\)
\(374\) 3.25911e7 7.43870e6i 0.622994 0.142194i
\(375\) 7.88882e7 + 3.79906e7i 1.49595 + 0.720414i
\(376\) −3.57107e6 2.84784e6i −0.0671793 0.0535737i
\(377\) 1.49990e8 + 3.42343e7i 2.79923 + 0.638906i
\(378\) 3.62850e7 + 2.89363e7i 0.671817 + 0.535757i
\(379\) −1.90499e7 8.34633e7i −0.349926 1.53313i −0.777346 0.629073i \(-0.783435\pi\)
0.427421 0.904053i \(-0.359422\pi\)
\(380\) 4.88337e6 0.0889957
\(381\) 2.11180e7i 0.381838i
\(382\) −1.33914e7 5.86716e7i −0.240235 1.05254i
\(383\) −5.77325e7 + 4.60402e7i −1.02760 + 0.819484i −0.983748 0.179554i \(-0.942535\pi\)
−0.0438526 + 0.999038i \(0.513963\pi\)
\(384\) −1.62705e7 + 7.83547e6i −0.287348 + 0.138379i
\(385\) −8.00505e7 3.85503e7i −1.40276 0.675531i
\(386\) 1.03546e8i 1.80041i
\(387\) 2.78363e7 1.62518e7i 0.480262 0.280394i
\(388\) −6.50113e6 −0.111300
\(389\) 3.50636e6 7.28103e6i 0.0595672 0.123693i −0.869060 0.494707i \(-0.835276\pi\)
0.928627 + 0.371014i \(0.120990\pi\)
\(390\) −7.29917e7 1.51569e8i −1.23049 2.55515i
\(391\) 7.27237e6 + 9.11926e6i 0.121659 + 0.152556i
\(392\) 9.72829e6 2.22042e6i 0.161502 0.0368618i
\(393\) −5.64461e7 −0.929942
\(394\) 7.30537e7i 1.19441i
\(395\) −1.67438e8 + 3.82167e7i −2.71684 + 0.620100i
\(396\) −3.78236e7 + 4.74292e7i −0.609083 + 0.763766i
\(397\) 377269. 1.65292e6i 0.00602948 0.0264169i −0.971824 0.235709i \(-0.924259\pi\)
0.977853 + 0.209292i \(0.0671159\pi\)
\(398\) 4.02197e7 5.04339e7i 0.637954 0.799969i
\(399\) 431115. 895219.i 0.00678694 0.0140932i
\(400\) −2.71488e7 1.18947e8i −0.424200 1.85854i
\(401\) 8.28259e7 + 3.98868e7i 1.28450 + 0.618581i 0.946542 0.322582i \(-0.104551\pi\)
0.337955 + 0.941162i \(0.390265\pi\)
\(402\) −5.40875e7 6.78235e7i −0.832566 1.04400i
\(403\) 9.26911e6 4.06106e7i 0.141619 0.620475i
\(404\) 2.05741e7 9.01410e7i 0.312016 1.36703i
\(405\) −7.11127e6 1.47667e7i −0.107049 0.222289i
\(406\) −7.88885e7 + 6.29115e7i −1.17879 + 0.940052i
\(407\) −1.74480e7 1.39143e7i −0.258798 0.206385i
\(408\) −2.84913e6 + 1.37207e6i −0.0419500 + 0.0202021i
\(409\) 3.00331e7 + 6.23644e7i 0.438965 + 0.911521i 0.996675 + 0.0814844i \(0.0259661\pi\)
−0.557709 + 0.830036i \(0.688320\pi\)
\(410\) −1.12261e8 + 1.40771e8i −1.62884 + 2.04250i
\(411\) 1.27406e7 + 1.59762e7i 0.183511 + 0.230116i
\(412\) −5.05907e7 + 2.43632e7i −0.723401 + 0.348372i
\(413\) 1.89130e7 + 4.31676e6i 0.268479 + 0.0612785i
\(414\) −3.83506e7 8.75328e6i −0.540470 0.123359i
\(415\) 8.04484e7 6.41555e7i 1.12557 0.897614i
\(416\) −7.05676e7 + 1.46535e8i −0.980224 + 2.03546i
\(417\) −3.19100e7 + 7.28326e6i −0.440067 + 0.100442i
\(418\) 6.08511e6 + 2.93043e6i 0.0833181 + 0.0401239i
\(419\) −3.55968e7 2.83875e7i −0.483914 0.385909i 0.350924 0.936404i \(-0.385868\pi\)
−0.834838 + 0.550495i \(0.814439\pi\)
\(420\) 5.78810e7 + 1.32110e7i 0.781247 + 0.178315i
\(421\) 3.17210e7 + 2.52966e7i 0.425109 + 0.339013i 0.812560 0.582877i \(-0.198073\pi\)
−0.387452 + 0.921890i \(0.626645\pi\)
\(422\) 2.65637e7 + 1.16383e8i 0.353468 + 1.54865i
\(423\) −1.49050e7 −0.196929
\(424\) 2.88667e7i 0.378704i
\(425\) −1.16090e7 5.08624e7i −0.151227 0.662567i
\(426\) −2.00603e7 + 1.59976e7i −0.259483 + 0.206931i
\(427\) −3.81630e7 + 1.83783e7i −0.490184 + 0.236060i
\(428\) −4.34605e7 2.09295e7i −0.554324 0.266948i
\(429\) 1.25197e8i 1.58570i
\(430\) 1.19928e8 1.77749e8i 1.50840 2.23564i
\(431\) 1.19118e8 1.48781 0.743904 0.668286i \(-0.232972\pi\)
0.743904 + 0.668286i \(0.232972\pi\)
\(432\) −2.92988e7 + 6.08397e7i −0.363412 + 0.754633i
\(433\) 4.26839e7 + 8.86340e7i 0.525776 + 1.09178i 0.979649 + 0.200718i \(0.0643275\pi\)
−0.453873 + 0.891066i \(0.649958\pi\)
\(434\) 1.70336e7 + 2.13595e7i 0.208371 + 0.261289i
\(435\) 1.78270e8 4.06890e7i 2.16577 0.494322i
\(436\) −4.40174e7 −0.531087
\(437\) 2.35656e6i 0.0282381i
\(438\) 1.20356e7 2.74704e6i 0.143233 0.0326921i
\(439\) −7.29304e7 + 9.14519e7i −0.862016 + 1.08093i 0.133931 + 0.990991i \(0.457240\pi\)
−0.995947 + 0.0899429i \(0.971332\pi\)
\(440\) −1.27128e7 + 5.56985e7i −0.149239 + 0.653861i
\(441\) 2.03020e7 2.54579e7i 0.236714 0.296829i
\(442\) −2.50597e7 + 5.20370e7i −0.290208 + 0.602622i
\(443\) −1.36171e7 5.96605e7i −0.156630 0.686239i −0.990868 0.134835i \(-0.956950\pi\)
0.834238 0.551404i \(-0.185908\pi\)
\(444\) 1.34354e7 + 6.47015e6i 0.153498 + 0.0739206i
\(445\) −5.42981e7 6.80876e7i −0.616175 0.772659i
\(446\) −3.35924e7 + 1.47178e8i −0.378649 + 1.65897i
\(447\) −9.24845e6 + 4.05201e7i −0.103549 + 0.453678i
\(448\) −2.85282e7 5.92394e7i −0.317278 0.658835i
\(449\) 1.31659e8 1.04994e8i 1.45449 1.15992i 0.498360 0.866970i \(-0.333936\pi\)
0.956129 0.292947i \(-0.0946358\pi\)
\(450\) 1.37560e8 + 1.09700e8i 1.50957 + 1.20384i
\(451\) −1.20727e8 + 5.81389e7i −1.31605 + 0.633778i
\(452\) 700891. + 1.45542e6i 0.00758989 + 0.0157606i
\(453\) −2.71324e7 + 3.40229e7i −0.291872 + 0.365996i
\(454\) 1.56073e8 + 1.95710e8i 1.66787 + 2.09144i
\(455\) 1.38306e8 6.66046e7i 1.46827 0.707082i
\(456\) −622886. 142170.i −0.00656922 0.00149938i
\(457\) 1.01686e8 + 2.32091e7i 1.06540 + 0.243170i 0.719065 0.694942i \(-0.244570\pi\)
0.346331 + 0.938112i \(0.387427\pi\)
\(458\) 3.49487e7 2.78707e7i 0.363777 0.290102i
\(459\) −1.25284e7 + 2.60155e7i −0.129556 + 0.269025i
\(460\) −1.37276e8 + 3.13325e7i −1.41034 + 0.321900i
\(461\) −4.31744e7 2.07917e7i −0.440680 0.212221i 0.200368 0.979721i \(-0.435786\pi\)
−0.641049 + 0.767500i \(0.721500\pi\)
\(462\) 6.41971e7 + 5.11955e7i 0.651013 + 0.519166i
\(463\) −1.25633e8 2.86749e7i −1.26579 0.288908i −0.463634 0.886027i \(-0.653455\pi\)
−0.802153 + 0.597119i \(0.796312\pi\)
\(464\) −1.14783e8 9.15364e7i −1.14901 0.916304i
\(465\) −1.10168e7 4.82676e7i −0.109571 0.480061i
\(466\) 1.95124e8 1.92821
\(467\) 1.14155e8i 1.12085i 0.828207 + 0.560423i \(0.189361\pi\)
−0.828207 + 0.560423i \(0.810639\pi\)
\(468\) −2.33228e7 1.02184e8i −0.227532 0.996883i
\(469\) 6.18887e7 4.93546e7i 0.599919 0.478419i
\(470\) −8.93328e7 + 4.30204e7i −0.860433 + 0.414363i
\(471\) −9.55811e7 4.60294e7i −0.914765 0.440527i
\(472\) 1.24739e7i 0.118625i
\(473\) 1.37808e8 8.04571e7i 1.30224 0.760293i
\(474\) 1.58720e8 1.49037
\(475\) 4.57331e6 9.49657e6i 0.0426726 0.0886106i
\(476\) −8.84381e6 1.83644e7i −0.0820009 0.170277i
\(477\) −5.87316e7 7.36471e7i −0.541149 0.678579i
\(478\) −1.66405e8 + 3.79809e7i −1.52364 + 0.347762i
\(479\) 4.37961e7 0.398501 0.199250 0.979949i \(-0.436149\pi\)
0.199250 + 0.979949i \(0.436149\pi\)
\(480\) 1.93307e8i 1.74793i
\(481\) 3.75907e7 8.57983e6i 0.337789 0.0770980i
\(482\) 1.99573e8 2.50256e8i 1.78222 2.23483i
\(483\) −6.37520e6 + 2.79316e7i −0.0565787 + 0.247887i
\(484\) −1.04902e8 + 1.31543e8i −0.925225 + 1.16020i
\(485\) −8.66853e6 + 1.80004e7i −0.0759836 + 0.157782i
\(486\) −3.55946e7 1.55950e8i −0.310081 1.35855i
\(487\) −1.66148e7 8.00125e6i −0.143849 0.0692741i 0.360574 0.932730i \(-0.382581\pi\)
−0.504424 + 0.863456i \(0.668295\pi\)
\(488\) 1.69816e7 + 2.12943e7i 0.146123 + 0.183233i
\(489\) −1.64553e7 + 7.20954e7i −0.140728 + 0.616568i
\(490\) 4.82004e7 2.11180e8i 0.409696 1.79500i
\(491\) 4.26932e7 + 8.86534e7i 0.360674 + 0.748947i 0.999797 0.0201577i \(-0.00641683\pi\)
−0.639123 + 0.769105i \(0.720703\pi\)
\(492\) 7.00029e7 5.58255e7i 0.587788 0.468745i
\(493\) −4.90820e7 3.91416e7i −0.409620 0.326661i
\(494\) −1.05134e7 + 5.06300e6i −0.0872095 + 0.0419979i
\(495\) 8.08890e7 + 1.67968e8i 0.666920 + 1.38487i
\(496\) −2.47839e7 + 3.10781e7i −0.203107 + 0.254688i
\(497\) −1.45977e7 1.83049e7i −0.118909 0.149107i
\(498\) −8.56766e7 + 4.12597e7i −0.693704 + 0.334070i
\(499\) 3.99138e6 + 911005.i 0.0321234 + 0.00733195i 0.238552 0.971130i \(-0.423327\pi\)
−0.206429 + 0.978462i \(0.566184\pi\)
\(500\) 3.53797e8 + 8.07519e7i 2.83038 + 0.646015i
\(501\) −6.32240e7 + 5.04195e7i −0.502770 + 0.400945i
\(502\) 2.04208e7 4.24042e7i 0.161421 0.335195i
\(503\) −8.22654e7 + 1.87765e7i −0.646418 + 0.147541i −0.533146 0.846023i \(-0.678990\pi\)
−0.113272 + 0.993564i \(0.536133\pi\)
\(504\) 8.76793e6 + 4.22241e6i 0.0684866 + 0.0329814i
\(505\) −2.22150e8 1.77159e8i −1.72493 1.37559i
\(506\) −1.89861e8 4.33344e7i −1.46549 0.334489i
\(507\) 1.01231e8 + 8.07287e7i 0.776762 + 0.619447i
\(508\) 1.94762e7 + 8.53307e7i 0.148564 + 0.650900i
\(509\) 2.96715e7 0.225002 0.112501 0.993652i \(-0.464114\pi\)
0.112501 + 0.993652i \(0.464114\pi\)
\(510\) 6.86465e7i 0.517497i
\(511\) 2.50666e6 + 1.09824e7i 0.0187859 + 0.0823066i
\(512\) 1.41915e8 1.13174e8i 1.05735 0.843209i
\(513\) −5.25611e6 + 2.53121e6i −0.0389325 + 0.0187489i
\(514\) −4.37332e7 2.10608e7i −0.322049 0.155091i
\(515\) 1.72562e8i 1.26335i
\(516\) −7.78118e7 + 7.29044e7i −0.566365 + 0.530646i
\(517\) −7.37893e7 −0.533976
\(518\) −1.09721e7 + 2.27839e7i −0.0789409 + 0.163922i
\(519\) −6.59782e7 1.37005e8i −0.471953 0.980020i
\(520\) −6.15427e7 7.71721e7i −0.437690 0.548845i
\(521\) −4.41496e7 + 1.00769e7i −0.312186 + 0.0712545i −0.375743 0.926724i \(-0.622613\pi\)
0.0635572 + 0.997978i \(0.479755\pi\)
\(522\) 2.11720e8 1.48851
\(523\) 2.62682e8i 1.83622i −0.396323 0.918111i \(-0.629714\pi\)
0.396323 0.918111i \(-0.370286\pi\)
\(524\) −2.28079e8 + 5.20575e7i −1.58523 + 0.361818i
\(525\) 7.98969e7 1.00188e8i 0.552144 0.692366i
\(526\) 3.83434e7 1.67993e8i 0.263471 1.15434i
\(527\) −1.05978e7 + 1.32892e7i −0.0724074 + 0.0907960i
\(528\) −5.18370e7 + 1.07641e8i −0.352158 + 0.731264i
\(529\) 1.78210e7 + 7.80790e7i 0.120383 + 0.527433i
\(530\) −5.64575e8 2.71885e8i −3.79223 1.82624i
\(531\) −2.53792e7 3.18245e7i −0.169510 0.212559i
\(532\) 916367. 4.01487e6i 0.00608604 0.0266647i
\(533\) 5.15158e7 2.25706e8i 0.340219 1.49060i
\(534\) 3.49202e7 + 7.25125e7i 0.229326 + 0.476200i
\(535\) −1.15899e8 + 9.24267e7i −0.756868 + 0.603582i
\(536\) −3.97949e7 3.17354e7i −0.258424 0.206086i
\(537\) 1.13206e8 5.45171e7i 0.731049 0.352055i
\(538\) 4.23901e7 + 8.80239e7i 0.272218 + 0.565267i
\(539\) 1.00508e8 1.26033e8i 0.641852 0.804857i
\(540\) −2.17334e8 2.72528e8i −1.38021 1.73073i
\(541\) −2.16633e8 + 1.04325e8i −1.36815 + 0.658866i −0.966438 0.256901i \(-0.917299\pi\)
−0.401711 + 0.915766i \(0.631584\pi\)
\(542\) 3.00324e8 + 6.85469e7i 1.88622 + 0.430517i
\(543\) 4.49182e7 + 1.02523e7i 0.280558 + 0.0640355i
\(544\) 5.18876e7 4.13790e7i 0.322305 0.257029i
\(545\) −5.86923e7 + 1.21876e8i −0.362570 + 0.752884i
\(546\) −1.38309e8 + 3.15682e7i −0.849715 + 0.193942i
\(547\) 1.05611e8 + 5.08594e7i 0.645276 + 0.310749i 0.727748 0.685845i \(-0.240567\pi\)
−0.0824716 + 0.996593i \(0.526281\pi\)
\(548\) 6.62142e7 + 5.28041e7i 0.402355 + 0.320868i
\(549\) 8.66497e7 + 1.97772e7i 0.523661 + 0.119522i
\(550\) 6.81009e8 + 5.43087e8i 4.09322 + 3.26423i
\(551\) −2.82236e6 1.23656e7i −0.0168717 0.0739196i
\(552\) 1.84221e7 0.109527
\(553\) 1.44831e8i 0.856418i
\(554\) 4.00993e7 + 1.75687e8i 0.235835 + 1.03326i
\(555\) 3.58292e7 2.85728e7i 0.209584 0.167138i
\(556\) −1.22220e8 + 5.88583e7i −0.711082 + 0.342439i
\(557\) −2.75080e8 1.32472e8i −1.59182 0.766579i −0.592576 0.805515i \(-0.701889\pi\)
−0.999242 + 0.0389357i \(0.987603\pi\)
\(558\) 5.73243e7i 0.329941i
\(559\) −3.97684e7 + 2.72820e8i −0.227668 + 1.56186i
\(560\) −1.46489e8 −0.834143
\(561\) −2.21658e7 + 4.60278e7i −0.125544 + 0.260695i
\(562\) 2.02624e7 + 4.20754e7i 0.114152 + 0.237039i
\(563\) −1.15129e8 1.44367e8i −0.645148 0.808990i 0.346488 0.938054i \(-0.387374\pi\)
−0.991636 + 0.129064i \(0.958803\pi\)
\(564\) 4.80701e7 1.09717e7i 0.267940 0.0611556i
\(565\) 4.96433e6 0.0275242
\(566\) 3.46322e8i 1.90999i
\(567\) −1.34749e7 + 3.07555e6i −0.0739224 + 0.0168723i
\(568\) −9.38644e6 + 1.17702e7i −0.0512219 + 0.0642303i
\(569\) −4.89281e7 + 2.14368e8i −0.265596 + 1.16365i 0.649482 + 0.760377i \(0.274986\pi\)
−0.915078 + 0.403276i \(0.867871\pi\)
\(570\) −8.64730e6 + 1.08434e7i −0.0466934 + 0.0585517i
\(571\) 9.19833e7 1.91005e8i 0.494084 1.02598i −0.493626 0.869674i \(-0.664329\pi\)
0.987709 0.156301i \(-0.0499570\pi\)
\(572\) −1.15463e8 5.05876e8i −0.616956 2.70306i
\(573\) 8.28610e7 + 3.99038e7i 0.440440 + 0.212105i
\(574\) 9.46694e7 + 1.18712e8i 0.500580 + 0.627708i
\(575\) −6.76288e7 + 2.96301e8i −0.355736 + 1.55858i
\(576\) −3.06997e7 + 1.34504e8i −0.160645 + 0.703830i
\(577\) −4.14121e7 8.59930e7i −0.215576 0.447647i 0.764937 0.644106i \(-0.222770\pi\)
−0.980512 + 0.196458i \(0.937056\pi\)
\(578\) −2.03709e8 + 1.62452e8i −1.05494 + 0.841284i
\(579\) 1.23718e8 + 9.86616e7i 0.637377 + 0.508291i
\(580\) 6.82803e8 3.28821e8i 3.49955 1.68529i
\(581\) −3.76493e7 7.81795e7i −0.191968 0.398625i
\(582\) 1.15120e7 1.44355e7i 0.0583957 0.0732258i
\(583\) −2.90759e8 3.64601e8i −1.46733 1.83998i
\(584\) 6.52606e6 3.14278e6i 0.0327652 0.0157789i
\(585\) −3.14025e8 7.16742e7i −1.56855 0.358010i
\(586\) −7.85130e7 1.79201e7i −0.390165 0.0890527i
\(587\) −1.30417e8 + 1.04004e8i −0.644792 + 0.514204i −0.890408 0.455163i \(-0.849581\pi\)
0.245616 + 0.969367i \(0.421010\pi\)
\(588\) −4.67363e7 + 9.70490e7i −0.229891 + 0.477374i
\(589\) −3.34804e6 + 764168.i −0.0163849 + 0.00373975i
\(590\) −2.43966e8 1.17488e8i −1.18788 0.572053i
\(591\) 8.72852e7 + 6.96076e7i 0.422842 + 0.337205i
\(592\) −3.58719e7 8.18752e6i −0.172898 0.0394628i
\(593\) −2.13464e8 1.70232e8i −1.02367 0.816349i −0.0405246 0.999179i \(-0.512903\pi\)
−0.983145 + 0.182830i \(0.941474\pi\)
\(594\) −1.07277e8 4.70013e8i −0.511857 2.24259i
\(595\) −6.26396e7 −0.297371
\(596\) 1.72257e8i 0.813652i
\(597\) 2.19364e7 + 9.61095e7i 0.103096 + 0.451693i
\(598\) 2.63058e8 2.09782e8i 1.23012 0.980990i
\(599\) −3.31960e7 + 1.59864e7i −0.154456 + 0.0743822i −0.509515 0.860462i \(-0.670175\pi\)
0.355059 + 0.934844i \(0.384461\pi\)
\(600\) −7.42381e7 3.57512e7i −0.343695 0.165515i
\(601\) 8.92970e6i 0.0411352i 0.999788 + 0.0205676i \(0.00654733\pi\)
−0.999788 + 0.0205676i \(0.993453\pi\)
\(602\) −1.23632e8 1.31954e8i −0.566685 0.604830i
\(603\) −1.66096e8 −0.757544
\(604\) −7.82548e7 + 1.62498e8i −0.355140 + 0.737457i
\(605\) 2.24342e8 + 4.65851e8i 1.01308 + 2.10368i
\(606\) 1.63723e8 + 2.05302e8i 0.735686 + 0.922521i
\(607\) 2.90669e8 6.63433e7i 1.29967 0.296641i 0.483953 0.875094i \(-0.339200\pi\)
0.815716 + 0.578453i \(0.196343\pi\)
\(608\) 1.34086e7 0.0596585
\(609\) 1.54200e8i 0.682706i
\(610\) 5.76418e8 1.31564e8i 2.53950 0.579624i
\(611\) 7.94875e7 9.96742e7i 0.348478 0.436978i
\(612\) −9.51697e6 + 4.16966e7i −0.0415187 + 0.181906i
\(613\) 2.69162e8 3.37518e8i 1.16851 1.46526i 0.311285 0.950317i \(-0.399241\pi\)
0.857223 0.514946i \(-0.172188\pi\)
\(614\) −2.13846e8 + 4.44055e8i −0.923837 + 1.91837i
\(615\) −6.12290e7 2.68262e8i −0.263228 1.15328i
\(616\) 4.34070e7 + 2.09037e7i 0.185702 + 0.0894295i
\(617\) 1.75105e8 + 2.19575e8i 0.745494 + 0.934820i 0.999475 0.0323892i \(-0.0103116\pi\)
−0.253981 + 0.967209i \(0.581740\pi\)
\(618\) 3.54865e7 1.55476e8i 0.150348 0.658718i
\(619\) 2.35932e7 1.03368e8i 0.0994751 0.435829i −0.900524 0.434806i \(-0.856817\pi\)
0.999999 0.00102345i \(-0.000325774\pi\)
\(620\) −8.90299e7 1.84872e8i −0.373560 0.775706i
\(621\) 1.31514e8 1.04879e8i 0.549157 0.437938i
\(622\) −6.04754e7 4.82275e7i −0.251309 0.200412i
\(623\) −6.61673e7 + 3.18645e7i −0.273640 + 0.131778i
\(624\) −8.95604e7 1.85974e8i −0.368606 0.765418i
\(625\) 3.36150e8 4.21518e8i 1.37687 1.72654i
\(626\) 4.31599e7 + 5.41208e7i 0.175937 + 0.220618i
\(627\) −9.29936e6 + 4.47834e6i −0.0377269 + 0.0181683i
\(628\) −4.28661e8 9.78391e7i −1.73075 0.395033i
\(629\) −1.53391e7 3.50104e6i −0.0616377 0.0140684i
\(630\) 1.65164e8 1.31714e8i 0.660532 0.526757i
\(631\) 5.40413e7 1.12218e8i 0.215099 0.446657i −0.765302 0.643672i \(-0.777410\pi\)
0.980401 + 0.197014i \(0.0631246\pi\)
\(632\) 9.07925e7 2.07228e7i 0.359665 0.0820913i
\(633\) −1.64366e8 7.91544e7i −0.648038 0.312079i
\(634\) −4.69040e7 3.74047e7i −0.184053 0.146777i
\(635\) 2.62234e8 + 5.98531e7i 1.02416 + 0.233757i
\(636\) 2.43628e8 + 1.94287e8i 0.947013 + 0.755217i
\(637\) 6.19753e7 + 2.71532e8i 0.239773 + 1.05051i
\(638\) 1.04815e9 4.03611
\(639\) 4.91266e7i 0.188284i
\(640\) 5.11829e7 + 2.24247e8i 0.195247 + 0.855434i
\(641\) 1.02026e8 8.13626e7i 0.387378 0.308923i −0.410365 0.911921i \(-0.634599\pi\)
0.797743 + 0.602998i \(0.206027\pi\)
\(642\) 1.23432e8 5.94415e7i 0.466467 0.224639i
\(643\) 1.90262e8 + 9.16251e7i 0.715679 + 0.344653i 0.756034 0.654533i \(-0.227135\pi\)
−0.0403550 + 0.999185i \(0.512849\pi\)
\(644\) 1.18741e8i 0.444575i
\(645\) 9.81051e7 + 3.12656e8i 0.365605 + 1.16516i
\(646\) 4.76160e6 0.0176626
\(647\) −1.04711e7 + 2.17435e7i −0.0386616 + 0.0802817i −0.919405 0.393312i \(-0.871329\pi\)
0.880743 + 0.473594i \(0.157043\pi\)
\(648\) 3.85605e6 + 8.00717e6i 0.0141716 + 0.0294275i
\(649\) −1.25644e8 1.57552e8i −0.459628 0.576355i
\(650\) −1.46720e9 + 3.34878e8i −5.34255 + 1.21940i
\(651\) −4.17505e7 −0.151328
\(652\) 3.06488e8i 1.10579i
\(653\) 3.31986e7 7.57736e6i 0.119228 0.0272131i −0.162490 0.986710i \(-0.551953\pi\)
0.281719 + 0.959497i \(0.409095\pi\)
\(654\) 7.79445e7 9.77393e7i 0.278646 0.349410i
\(655\) −1.59980e8 + 7.00920e8i −0.569302 + 2.49428i
\(656\) −1.37744e8 + 1.72726e8i −0.487935 + 0.611851i
\(657\) 1.02556e7 2.12959e7i 0.0361629 0.0750931i
\(658\) 1.86059e7 + 8.15178e7i 0.0653090 + 0.286137i
\(659\) 3.02108e8 + 1.45488e8i 1.05562 + 0.508358i 0.879444 0.476002i \(-0.157914\pi\)
0.176172 + 0.984359i \(0.443629\pi\)
\(660\) −3.84518e8 4.82171e8i −1.33747 1.67714i
\(661\) 7.08590e6 3.10454e7i 0.0245353 0.107496i −0.961178 0.275931i \(-0.911014\pi\)
0.985713 + 0.168435i \(0.0538712\pi\)
\(662\) 2.62477e7 1.14999e8i 0.0904727 0.396387i
\(663\) −3.82966e7 7.95237e7i −0.131407 0.272870i
\(664\) −4.36227e7 + 3.47880e7i −0.149008 + 0.118830i
\(665\) −9.89452e6 7.89062e6i −0.0336457 0.0268316i
\(666\) 4.78068e7 2.30225e7i 0.161833 0.0779346i
\(667\) 1.58679e8 + 3.29500e8i 0.534738 + 1.11040i
\(668\) −2.08967e8 + 2.62036e8i −0.701049 + 0.879087i
\(669\) −1.43842e8 1.80372e8i −0.480404 0.602407i
\(670\) −9.95496e8 + 4.79405e8i −3.30990 + 1.59396i
\(671\) 4.28973e8 + 9.79102e7i 1.41991 + 0.324086i
\(672\) 1.58928e8 + 3.62742e7i 0.523711 + 0.119534i
\(673\) 2.18979e8 1.74630e8i 0.718385 0.572893i −0.194601 0.980882i \(-0.562341\pi\)
0.912987 + 0.407989i \(0.133770\pi\)
\(674\) 2.59760e8 5.39397e8i 0.848383 1.76169i
\(675\) −7.33514e8 + 1.67420e8i −2.38505 + 0.544371i
\(676\) 4.83490e8 + 2.32837e8i 1.56512 + 0.753722i
\(677\) −1.70120e8 1.35666e8i −0.548263 0.437225i 0.309776 0.950810i \(-0.399746\pi\)
−0.858039 + 0.513584i \(0.828317\pi\)
\(678\) −4.47282e6 1.02089e6i −0.0143513 0.00327560i
\(679\) 1.31724e7 + 1.05046e7i 0.0420780 + 0.0335560i
\(680\) 8.96265e6 + 3.92679e7i 0.0285042 + 0.124885i
\(681\) −3.82546e8 −1.21127
\(682\) 2.83793e8i 0.894640i
\(683\) 6.98332e7 + 3.05959e8i 0.219179 + 0.960287i 0.958086 + 0.286480i \(0.0924852\pi\)
−0.738907 + 0.673808i \(0.764658\pi\)
\(684\) −6.75575e6 + 5.38753e6i −0.0211108 + 0.0168353i
\(685\) 2.34494e8 1.12926e8i 0.729557 0.351336i
\(686\) −4.05648e8 1.95350e8i −1.25654 0.605118i
\(687\) 6.83130e7i 0.210685i
\(688\) 1.47152e8 2.18097e8i 0.451855 0.669707i
\(689\) 8.05714e8 2.46333
\(690\) 1.73511e8 3.60300e8i 0.528179 1.09677i
\(691\) −1.66497e8 3.45735e8i −0.504630 1.04787i −0.985278 0.170961i \(-0.945313\pi\)
0.480648 0.876913i \(-0.340401\pi\)
\(692\) −3.92949e8 4.92742e8i −1.18582 1.48697i
\(693\) 1.53274e8 3.49837e7i 0.460540 0.105115i
\(694\) −1.99465e8 −0.596744
\(695\) 4.16886e8i 1.24183i
\(696\) −9.66661e7 + 2.20634e7i −0.286713 + 0.0654403i
\(697\) −5.89003e7 + 7.38587e7i −0.173948 + 0.218124i
\(698\) −7.66651e7 + 3.35892e8i −0.225440 + 0.987718i
\(699\) −1.85920e8 + 2.33136e8i −0.544370 + 0.682619i
\(700\) 2.30438e8 4.78509e8i 0.671830 1.39507i
\(701\) 4.97616e7 + 2.18020e8i 0.144458 + 0.632910i 0.994368 + 0.105983i \(0.0337989\pi\)
−0.849910 + 0.526927i \(0.823344\pi\)
\(702\) 7.50453e8 + 3.61399e8i 2.16926 + 1.04466i
\(703\) −1.98193e6 2.48526e6i −0.00570456 0.00715329i
\(704\) −1.51983e8 + 6.65882e8i −0.435590 + 1.90844i
\(705\) 3.37176e7 1.47726e8i 0.0962253 0.421591i
\(706\) 5.16414e7 + 1.07234e8i 0.146752 + 0.304734i
\(707\) −1.87337e8 + 1.49397e8i −0.530111 + 0.422749i
\(708\) 1.05277e8 + 8.39557e7i 0.296643 + 0.236565i
\(709\) 2.53011e8 1.21844e8i 0.709905 0.341872i −0.0438406 0.999039i \(-0.513959\pi\)
0.753746 + 0.657166i \(0.228245\pi\)
\(710\) 1.41795e8 + 2.94440e8i 0.396173 + 0.822662i
\(711\) 1.89475e8 2.37594e8i 0.527161 0.661039i
\(712\) 2.94428e7 + 3.69201e7i 0.0815717 + 0.102288i
\(713\) 8.92137e7 4.29631e7i 0.246129 0.118530i
\(714\) 5.64378e7 + 1.28815e7i 0.155051 + 0.0353894i
\(715\) −1.55463e9 3.54834e8i −4.25313 0.970750i
\(716\) 4.07148e8 3.24689e8i 1.10921 0.884564i
\(717\) 1.13176e8 2.35011e8i 0.307040 0.637576i
\(718\) 6.62431e6 1.51195e6i 0.0178965 0.00408475i
\(719\) −6.57487e8 3.16629e8i −1.76889 0.851852i −0.967161 0.254164i \(-0.918200\pi\)
−0.801729 0.597688i \(-0.796086\pi\)
\(720\) 2.40314e8 + 1.91644e8i 0.643846 + 0.513450i
\(721\) 1.41872e8 + 3.23813e7i 0.378521 + 0.0863949i
\(722\) −4.32205e8 3.44672e8i −1.14836 0.915788i
\(723\) 1.08850e8 + 4.76902e8i 0.288013 + 1.26187i
\(724\) 1.90954e8 0.503168
\(725\) 1.63577e9i 4.29249i
\(726\) −1.06330e8 4.65863e8i −0.277873 1.21744i
\(727\) 1.66185e8 1.32528e8i 0.432501 0.344908i −0.382915 0.923784i \(-0.625080\pi\)
0.815416 + 0.578875i \(0.196508\pi\)
\(728\) −7.49956e7 + 3.61160e7i −0.194375 + 0.0936063i
\(729\) 2.67230e8 + 1.28691e8i 0.689768 + 0.332175i
\(730\) 1.57238e8i 0.404192i
\(731\) 6.29230e7 9.32599e7i 0.161086 0.238750i
\(732\) −2.94013e8 −0.749606
\(733\) −1.39179e8 + 2.89008e8i −0.353396 + 0.733835i −0.999569 0.0293564i \(-0.990654\pi\)
0.646173 + 0.763191i \(0.276369\pi\)
\(734\) −3.26325e8 6.77621e8i −0.825206 1.71356i
\(735\) 2.06392e8 + 2.58808e8i 0.519794 + 0.651801i
\(736\) −3.76929e8 + 8.60315e7i −0.945422 + 0.215786i
\(737\) −8.22284e8 −2.05409
\(738\) 3.18597e8i 0.792634i
\(739\) 1.28440e8 2.93155e7i 0.318248 0.0726380i −0.0604131 0.998173i \(-0.519242\pi\)
0.378661 + 0.925535i \(0.376385\pi\)
\(740\) 1.18422e8 1.48497e8i 0.292238 0.366455i
\(741\) 3.96817e6 1.73857e7i 0.00975295 0.0427305i
\(742\) −3.29473e8 + 4.13147e8i −0.806508 + 1.01133i
\(743\) 2.32627e8 4.83054e8i 0.567143 1.17769i −0.398344 0.917236i \(-0.630415\pi\)
0.965487 0.260449i \(-0.0838707\pi\)
\(744\) 5.97378e6 + 2.61728e7i 0.0145054 + 0.0635524i
\(745\) 4.76947e8 + 2.29686e8i 1.15346 + 0.555476i
\(746\) −5.32133e8 6.67273e8i −1.28175 1.60726i
\(747\) −4.05150e7 + 1.77508e8i −0.0971973 + 0.425849i
\(748\) −4.71152e7 + 2.06425e8i −0.112579 + 0.493239i
\(749\) 5.42401e7 + 1.12631e8i 0.129085 + 0.268047i
\(750\) −8.05798e8 + 6.42602e8i −1.91004 + 1.52321i
\(751\) −2.62638e8 2.09447e8i −0.620066 0.494486i 0.262340 0.964976i \(-0.415506\pi\)
−0.882406 + 0.470489i \(0.844077\pi\)
\(752\) −1.09611e8 + 5.27858e7i −0.257751 + 0.124126i
\(753\) 3.12074e7 + 6.48028e7i 0.0730924 + 0.151778i
\(754\) −1.12909e9 + 1.41584e9i −2.63400 + 3.30294i
\(755\) 3.45581e8 + 4.33345e8i 0.802988 + 1.00692i
\(756\) −2.64842e8 + 1.27541e8i −0.612946 + 0.295179i
\(757\) 3.49121e8 + 7.96845e7i 0.804800 + 0.183690i 0.605082 0.796163i \(-0.293140\pi\)
0.199718 + 0.979853i \(0.435997\pi\)