Properties

Label 43.7.f.a.2.3
Level 43
Weight 7
Character 43.2
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 2.3
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.3

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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 −0.929451 0.368946i \(-0.879719\pi\)
0.291049 0.956708i \(-0.405996\pi\)
\(3\) −7.80492 + 16.2071i −0.289071 + 0.600263i −0.994045 0.108971i \(-0.965244\pi\)
0.704974 + 0.709233i \(0.250959\pi\)
\(4\) −46.4840 + 58.2891i −0.726313 + 0.910768i
\(5\) −223.373 50.9834i −1.78698 0.407867i −0.804458 0.594009i \(-0.797544\pi\)
−0.982523 + 0.186142i \(0.940402\pi\)
\(6\) 211.741 0.980284
\(7\) 193.213i 0.563303i −0.959517 0.281652i \(-0.909118\pi\)
0.959517 0.281652i \(-0.0908822\pi\)
\(8\) 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 0.983685 + 0.179897i \(0.0575765\pi\)
−0.0435040 + 0.999053i \(0.513852\pi\)
\(12\) −581.893 1208.31i −0.336744 0.699255i
\(13\) 771.627 3380.72i 0.351219 1.53879i −0.423153 0.906058i \(-0.639077\pi\)
0.774372 0.632731i \(-0.218066\pi\)
\(14\) −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 0.996810 0.0798069i \(-0.0254304\pi\)
−0.932722 + 0.360596i \(0.882573\pi\)
\(18\) 2070.53 4299.50i 0.355030 0.737226i
\(19\) 223.512 + 178.245i 0.0325867 + 0.0259870i 0.639648 0.768668i \(-0.279080\pi\)
−0.607061 + 0.794655i \(0.707652\pi\)
\(20\) 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 0.524401 0.851472i \(-0.324289\pi\)
−0.946814 + 0.321782i \(0.895718\pi\)
\(24\) −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 0.769066 + 0.639169i \(0.220722\pi\)
0.0202177 + 0.999796i \(0.493564\pi\)
\(30\) −47297.2 10795.3i −1.75175 0.399825i
\(31\) −10822.8 + 5211.99i −0.363291 + 0.174952i −0.606620 0.794992i \(-0.707475\pi\)
0.243329 + 0.969944i \(0.421761\pi\)
\(32\) 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 \(0.0350076\pi\)
−0.993958 + 0.109758i \(0.964992\pi\)
\(38\) 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 −0.815972 0.578091i \(-0.803798\pi\)
−0.0567808 + 0.998387i \(0.518084\pi\)
\(42\) 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 −0.879872 0.475212i \(-0.842371\pi\)
0.659087 + 0.752067i \(0.270943\pi\)
\(48\) −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 0.783314 + 0.621627i \(0.213528\pi\)
−0.436028 + 0.899933i \(0.643615\pi\)
\(54\) 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 0.999746 + 0.0225365i \(0.00717418\pi\)
−0.890962 + 0.454078i \(0.849969\pi\)
\(60\) 68375.1 + 299571.i 0.316552 + 1.38690i
\(61\) 95119.6 197518.i 0.419064 0.870196i −0.579413 0.815034i \(-0.696718\pi\)
0.998477 0.0551619i \(-0.0175675\pi\)
\(62\) 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 0.147799 + 0.989017i \(0.452781\pi\)
−0.997109 + 0.0759842i \(0.975790\pi\)
\(68\) −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 0.482140 0.876094i \(-0.339860\pi\)
−0.746842 + 0.665001i \(0.768431\pi\)
\(72\) 21853.7 + 45379.6i 0.0585500 + 0.121580i
\(73\) 56840.9 + 12973.6i 0.146114 + 0.0333496i 0.294952 0.955512i \(-0.404696\pi\)
−0.148838 + 0.988862i \(0.547553\pi\)
\(74\) 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 0.0451966 0.998978i \(-0.485609\pi\)
−0.752853 + 0.658189i \(0.771323\pi\)
\(84\) −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 −0.750643 0.660708i \(-0.770256\pi\)
0.984581 + 0.174931i \(0.0559703\pi\)
\(90\) −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 0.810724 0.585429i \(-0.199074\pi\)
−0.751154 + 0.660127i \(0.770502\pi\)
\(98\) −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 −0.249143 0.968467i \(-0.580149\pi\)
0.999625 + 0.0273920i \(0.00872022\pi\)
\(102\) 66670.2 + 292101.i 0.0628248 + 0.275253i
\(103\) 167594. + 734275.i 0.153372 + 0.671966i 0.991891 + 0.127093i \(0.0405648\pi\)
−0.838519 + 0.544872i \(0.816578\pi\)
\(104\) 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 0.656406 0.754408i \(-0.272076\pi\)
−0.180557 + 0.983565i \(0.557790\pi\)
\(108\) 660107. 1.37073e6i 0.524014 1.08813i
\(109\) 368112. + 461597.i 0.284250 + 0.356438i 0.903373 0.428856i \(-0.141083\pi\)
−0.619123 + 0.785294i \(0.712512\pi\)
\(110\) −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 −0.229835 0.973230i \(-0.573819\pi\)
0.215195 + 0.976571i \(0.430961\pi\)
\(114\) 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 −0.673870 0.738850i \(-0.735369\pi\)
0.157505 + 0.987518i \(0.449655\pi\)
\(128\) 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 0.948076 + 0.318043i \(0.103026\pi\)
−0.342460 + 0.939533i \(0.611260\pi\)
\(132\) 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 0.00167463 0.999999i \(-0.499467\pi\)
−0.432374 + 0.901694i \(0.642324\pi\)
\(138\) −1.08824e6 1.36462e6i −0.414085 0.519246i
\(139\) 404884. + 1.77391e6i 0.150760 + 0.660523i 0.992665 + 0.120897i \(0.0385771\pi\)
−0.841905 + 0.539626i \(0.818566\pi\)
\(140\) −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 −0.857273 0.514862i \(-0.827843\pi\)
0.311192 + 0.950347i \(0.399272\pi\)
\(150\) 7.03371e6 + 3.38726e6i 2.08406 + 1.00363i
\(151\) −1.04963e6 + 2.17958e6i −0.304864 + 0.633056i −0.995969 0.0896982i \(-0.971410\pi\)
0.691105 + 0.722754i \(0.257124\pi\)
\(152\) 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 0.999512 0.0312427i \(-0.00994647\pi\)
0.191953 + 0.981404i \(0.438518\pi\)
\(158\) −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 −0.919863 0.392239i \(-0.871701\pi\)
0.177716 + 0.984082i \(0.443129\pi\)
\(164\) 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 0.746487 + 0.665400i \(0.231739\pi\)
−0.961268 + 0.275616i \(0.911118\pi\)
\(168\) 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 \(-0.791595\pi\)
0.793215 0.608941i \(-0.208405\pi\)
\(180\) 6.75154e6 + 1.54099e6i 1.15767 + 0.264231i
\(181\) −1.59692e6 2.00248e6i −0.269307 0.337700i 0.628727 0.777626i \(-0.283576\pi\)
−0.898034 + 0.439926i \(0.855005\pi\)
\(182\) 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 0.293182 0.956057i \(-0.405286\pi\)
−0.866847 + 0.498574i \(0.833857\pi\)
\(192\) 4.78600e6 3.81671e6i 0.676191 0.539244i
\(193\) −7.92562e6 3.81678e6i −1.10246 0.530915i −0.208026 0.978123i \(-0.566704\pi\)
−0.894430 + 0.447208i \(0.852418\pi\)
\(194\) 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 0.0308467 0.999524i \(-0.490180\pi\)
−0.762227 + 0.647310i \(0.775894\pi\)
\(198\) 9.33773e6 2.13128e6i 1.20295 0.274564i
\(199\) −5.34283e6 + 1.21947e6i −0.677972 + 0.154743i −0.547623 0.836725i \(-0.684467\pi\)
−0.130350 + 0.991468i \(0.541610\pi\)
\(200\) 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 0.946880 0.321586i \(-0.104216\pi\)
−0.102822 + 0.994700i \(0.532787\pi\)
\(212\) −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 0.745298 0.666732i \(-0.232307\pi\)
0.382206 + 0.924077i \(0.375165\pi\)
\(224\) −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 0.769865 + 0.638207i \(0.220323\pi\)
0.0189671 + 0.999820i \(0.493962\pi\)
\(228\) 85315.6 373792.i 0.00719820 0.0315374i
\(229\) −3.42151e6 + 1.64771e6i −0.284912 + 0.137207i −0.570882 0.821032i \(-0.693399\pi\)
0.285970 + 0.958239i \(0.407684\pi\)
\(230\) 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 0.396307 + 0.918118i \(0.370292\pi\)
−0.964907 + 0.262592i \(0.915423\pi\)
\(234\) −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 −0.331339 0.943512i \(-0.607500\pi\)
0.993586 + 0.113081i \(0.0360719\pi\)
\(240\) 1.22878e7 + 5.91748e6i 0.888872 + 0.428058i
\(241\) −2.65115e7 + 6.05107e6i −1.89401 + 0.432296i −0.999880 0.0155062i \(-0.995064\pi\)
−0.894133 + 0.447802i \(0.852207\pi\)
\(242\) 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 \(-0.961240\pi\)
0.992595 0.121468i \(-0.0387602\pi\)
\(258\) 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 −0.188556 0.982063i \(-0.560381\pi\)
−0.595984 + 0.802997i \(0.703238\pi\)
\(264\) −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 0.896785 0.442466i \(-0.145896\pi\)
−0.630926 + 0.775843i \(0.717325\pi\)
\(270\) −2.38786e7 4.95843e7i −1.21316 2.51914i
\(271\) −5.82341e6 + 2.55140e7i −0.292597 + 1.28195i 0.588300 + 0.808643i \(0.299797\pi\)
−0.880897 + 0.473308i \(0.843060\pi\)
\(272\) −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 0.863228 0.504814i \(-0.168439\pi\)
−0.300071 + 0.953917i \(0.597010\pi\)
\(278\) 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 0.834443 0.551094i \(-0.185789\pi\)
−0.722958 + 0.690892i \(0.757218\pi\)
\(282\) −4.85365e6 + 6.08628e6i −0.216432 + 0.271397i
\(283\) 2.65081e7 + 1.27656e7i 1.16955 + 0.563227i 0.914851 0.403792i \(-0.132308\pi\)
0.254702 + 0.967019i \(0.418022\pi\)
\(284\) 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 −0.935608 0.353040i \(-0.885148\pi\)
0.996132 + 0.0878674i \(0.0280052\pi\)
\(294\) 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 0.944788 0.327681i \(-0.106267\pi\)
−0.993400 + 0.114698i \(0.963410\pi\)
\(312\) 4.83186e6 + 6.05896e6i 0.159093 + 0.199496i
\(313\) 2.55161e6 + 5.29847e6i 0.0832111 + 0.172790i 0.938423 0.345490i \(-0.112287\pi\)
−0.855212 + 0.518279i \(0.826573\pi\)
\(314\) 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 0.954002 0.299800i \(-0.0969199\pi\)
−0.989605 + 0.143816i \(0.954063\pi\)
\(318\) 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 0.0856864 0.996322i \(-0.472692\pi\)
−0.355087 + 0.934833i \(0.615549\pi\)
\(332\) 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 −0.794264 0.607573i \(-0.792143\pi\)
0.970235 + 0.242165i \(0.0778577\pi\)
\(348\) 3.70982e7 4.65197e7i 0.880269 1.10382i
\(349\) 2.85357e7 + 6.51309e6i 0.671294 + 0.153218i 0.544565 0.838719i \(-0.316695\pi\)
0.126729 + 0.991937i \(0.459552\pi\)
\(350\) −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 0.848312 0.529496i \(-0.177619\pi\)
−0.704988 + 0.709219i \(0.749048\pi\)
\(354\) 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 −0.785706 0.618601i \(-0.787700\pi\)
0.777927 + 0.628355i \(0.216271\pi\)
\(360\) −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 −0.999564 0.0295311i \(-0.990599\pi\)
0.193633 0.981074i \(-0.437973\pi\)
\(368\) 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 −0.947769 0.318957i \(-0.896667\pi\)
0.341554 0.939862i \(-0.389047\pi\)
\(374\) 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 0.427421 + 0.904053i \(0.359422\pi\)
−0.777346 + 0.629073i \(0.783435\pi\)
\(380\) 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 −0.0438526 0.999038i \(-0.513963\pi\)
−0.983748 + 0.179554i \(0.942535\pi\)
\(384\) −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 0.928627 0.371014i \(-0.120990\pi\)
−0.869060 + 0.494707i \(0.835276\pi\)
\(390\) −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 0.977853 0.209292i \(-0.0671159\pi\)
−0.971824 + 0.235709i \(0.924259\pi\)
\(398\) 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 0.337955 0.941162i \(-0.390265\pi\)
0.946542 + 0.322582i \(0.104551\pi\)
\(402\) −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 −0.557709 0.830036i \(-0.688320\pi\)
0.996675 0.0814844i \(-0.0259661\pi\)
\(410\) −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 −0.834838 0.550495i \(-0.814439\pi\)
0.350924 + 0.936404i \(0.385868\pi\)
\(420\) 5.78810e7 1.32110e7i 0.781247 0.178315i
\(421\) 3.17210e7 2.52966e7i 0.425109 0.339013i −0.387452 0.921890i \(-0.626645\pi\)
0.812560 + 0.582877i \(0.198073\pi\)
\(422\) 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 −0.453873 0.891066i \(-0.649958\pi\)
0.979649 0.200718i \(-0.0643275\pi\)
\(434\) 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 −0.995947 0.0899429i \(-0.971332\pi\)
0.133931 0.990991i \(-0.457240\pi\)
\(440\) −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 0.834238 + 0.551404i \(0.185908\pi\)
−0.990868 + 0.134835i \(0.956950\pi\)
\(444\) 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 0.956129 + 0.292947i \(0.0946358\pi\)
0.498360 + 0.866970i \(0.333936\pi\)
\(450\) 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 0.346331 0.938112i \(-0.387427\pi\)
0.719065 + 0.694942i \(0.244570\pi\)
\(458\) 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 −0.641049 0.767500i \(-0.721500\pi\)
0.200368 + 0.979721i \(0.435786\pi\)
\(462\) 6.41971e7 5.11955e7i 0.651013 0.519166i
\(463\) −1.25633e8 + 2.86749e7i −1.26579 + 0.288908i −0.802153 0.597119i \(-0.796312\pi\)
−0.463634 + 0.886027i \(0.653455\pi\)
\(464\) −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 \(-0.810639\pi\)
0.828207 0.560423i \(-0.189361\pi\)
\(468\) −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 −0.504424 0.863456i \(-0.668295\pi\)
0.360574 + 0.932730i \(0.382581\pi\)
\(488\) 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 −0.639123 0.769105i \(-0.720703\pi\)
0.999797 + 0.0201577i \(0.00641683\pi\)
\(492\) 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 −0.206429 0.978462i \(-0.566184\pi\)
0.238552 + 0.971130i \(0.423327\pi\)
\(500\) 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 −0.113272 0.993564i \(-0.536133\pi\)
−0.533146 + 0.846023i \(0.678990\pi\)
\(504\) 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 0.0635572 0.997978i \(-0.479755\pi\)
−0.375743 + 0.926724i \(0.622613\pi\)
\(522\) 2.11720e8 1.48851
\(523\) 2.62682e8i 1.83622i 0.396323 + 0.918111i \(0.370286\pi\)
−0.396323 + 0.918111i \(0.629714\pi\)
\(524\) −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 −0.401711 0.915766i \(-0.631584\pi\)
−0.966438 + 0.256901i \(0.917299\pi\)
\(542\) 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 −0.0824716 0.996593i \(-0.526281\pi\)
0.727748 + 0.685845i \(0.240567\pi\)
\(548\) 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 −0.999242 0.0389357i \(-0.987603\pi\)
−0.592576 + 0.805515i \(0.701889\pi\)
\(558\) 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 −0.991636 0.129064i \(-0.958803\pi\)
0.346488 + 0.938054i \(0.387374\pi\)
\(564\) 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 −0.915078 0.403276i \(-0.867871\pi\)
0.649482 0.760377i \(-0.274986\pi\)
\(570\) −8.64730e6 1.08434e7i −0.0466934 0.0585517i
\(571\) 9.19833e7 + 1.91005e8i 0.494084 + 1.02598i 0.987709 + 0.156301i \(0.0499570\pi\)
−0.493626 + 0.869674i \(0.664329\pi\)
\(572\) −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 −0.980512 0.196458i \(-0.937056\pi\)
0.764937 + 0.644106i \(0.222770\pi\)
\(578\) −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 0.245616 0.969367i \(-0.421010\pi\)
−0.890408 + 0.455163i \(0.849581\pi\)
\(588\) −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 −0.983145 0.182830i \(-0.941474\pi\)
−0.0405246 + 0.999179i \(0.512903\pi\)
\(594\) −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 0.355059 0.934844i \(-0.384461\pi\)
−0.509515 + 0.860462i \(0.670175\pi\)
\(600\) −7.42381e7 + 3.57512e7i −0.343695 + 0.165515i
\(601\) 8.92970e6i 0.0411352i −0.999788 0.0205676i \(-0.993453\pi\)
0.999788 0.0205676i \(-0.00654733\pi\)
\(602\) −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 0.815716 0.578453i \(-0.196343\pi\)
0.483953 + 0.875094i \(0.339200\pi\)
\(608\) 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 0.857223 + 0.514946i \(0.172188\pi\)
0.311285 + 0.950317i \(0.399241\pi\)
\(614\) −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 −0.253981 0.967209i \(-0.581740\pi\)
0.999475 + 0.0323892i \(0.0103116\pi\)
\(618\) 3.54865e7 + 1.55476e8i 0.150348 + 0.658718i
\(619\) 2.35932e7 + 1.03368e8i 0.0994751 + 0.435829i 0.999999 + 0.00102345i \(0.000325774\pi\)
−0.900524 + 0.434806i \(0.856817\pi\)
\(620\) −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 0.980401 0.197014i \(-0.0631246\pi\)
−0.765302 + 0.643672i \(0.777410\pi\)
\(632\) 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 0.797743 0.602998i \(-0.206027\pi\)
−0.410365 + 0.911921i \(0.634599\pi\)
\(642\) 1.23432e8 + 5.94415e7i 0.466467 + 0.224639i
\(643\) 1.90262e8 9.16251e7i 0.715679 0.344653i −0.0403550 0.999185i \(-0.512849\pi\)
0.756034 + 0.654533i \(0.227135\pi\)
\(644\) 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 0.880743 0.473594i \(-0.157043\pi\)
−0.919405 + 0.393312i \(0.871329\pi\)
\(648\) 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 0.281719 0.959497i \(-0.409095\pi\)
−0.162490 + 0.986710i \(0.551953\pi\)
\(654\) 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 0.176172 0.984359i \(-0.443629\pi\)
0.879444 + 0.476002i \(0.157914\pi\)
\(660\) −3.84518e8 + 4.82171e8i −1.33747 + 1.67714i
\(661\) 7.08590e6 + 3.10454e7i 0.0245353 + 0.107496i 0.985713 0.168435i \(-0.0538712\pi\)
−0.961178 + 0.275931i \(0.911014\pi\)
\(662\) 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 0.912987 0.407989i \(-0.133770\pi\)
−0.194601 + 0.980882i \(0.562341\pi\)
\(674\) 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 −0.858039 0.513584i \(-0.828317\pi\)
0.309776 + 0.950810i \(0.399746\pi\)
\(678\) −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 −0.738907 0.673808i \(-0.764658\pi\)
0.958086 0.286480i \(-0.0924852\pi\)
\(684\) −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 0.480648 + 0.876913i \(0.340401\pi\)
−0.985278 + 0.170961i \(0.945313\pi\)
\(692\) −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 −0.849910 0.526927i \(-0.823344\pi\)
0.994368 0.105983i \(-0.0337989\pi\)
\(702\) 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 0.753746 0.657166i \(-0.228245\pi\)
−0.0438406 + 0.999039i \(0.513959\pi\)
\(710\) 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 −0.801729 + 0.597688i \(0.796086\pi\)
−0.967161 + 0.254164i \(0.918200\pi\)
\(720\) 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 0.815416 0.578875i \(-0.196508\pi\)
−0.382915 + 0.923784i \(0.625080\pi\)
\(728\) −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 0.646173 0.763191i \(-0.276369\pi\)
−0.999569 + 0.0293564i \(0.990654\pi\)
\(734\) −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 0.378661 0.925535i \(-0.376385\pi\)
−0.0604131 + 0.998173i \(0.519242\pi\)
\(740\) 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 0.965487 + 0.260449i \(0.0838707\pi\)
−0.398344 + 0.917236i \(0.630415\pi\)
\(744\) 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 −0.882406 0.470489i \(-0.844077\pi\)
0.262340 + 0.964976i \(0.415506\pi\)
\(752\) −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