Properties

Label 19.7.f.a.2.5
Level $19$
Weight $7$
Character 19.2
Analytic conductor $4.371$
Analytic rank $0$
Dimension $54$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 2.5
Character \(\chi\) \(=\) 19.2
Dual form 19.7.f.a.10.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.612104 - 0.107930i) q^{2} +(29.3902 - 35.0259i) q^{3} +(-59.7773 - 21.7572i) q^{4} +(-60.2750 + 21.9383i) q^{5} +(-21.7702 + 18.2674i) q^{6} +(-70.8586 - 122.731i) q^{7} +(68.6913 + 39.6589i) q^{8} +(-236.440 - 1340.92i) q^{9} +O(q^{10})\) \(q+(-0.612104 - 0.107930i) q^{2} +(29.3902 - 35.0259i) q^{3} +(-59.7773 - 21.7572i) q^{4} +(-60.2750 + 21.9383i) q^{5} +(-21.7702 + 18.2674i) q^{6} +(-70.8586 - 122.731i) q^{7} +(68.6913 + 39.6589i) q^{8} +(-236.440 - 1340.92i) q^{9} +(39.2624 - 6.92302i) q^{10} +(994.377 - 1722.31i) q^{11} +(-2518.93 + 1454.31i) q^{12} +(1619.46 + 1930.00i) q^{13} +(30.1264 + 82.7717i) q^{14} +(-1003.09 + 2755.96i) q^{15} +(3081.01 + 2585.28i) q^{16} +(-359.351 + 2037.98i) q^{17} +846.299i q^{18} +(1307.84 - 6733.16i) q^{19} +4080.40 q^{20} +(-6381.31 - 1125.20i) q^{21} +(-794.552 + 946.910i) q^{22} +(10910.3 + 3971.02i) q^{23} +(3407.94 - 1240.39i) q^{24} +(-8817.65 + 7398.89i) q^{25} +(-782.974 - 1356.15i) q^{26} +(-25049.4 - 14462.3i) q^{27} +(1565.46 + 8878.19i) q^{28} +(-8277.72 + 1459.59i) q^{29} +(911.446 - 1578.67i) q^{30} +(42628.1 - 24611.3i) q^{31} +(-4869.88 - 5803.70i) q^{32} +(-31100.6 - 85448.1i) q^{33} +(439.920 - 1208.67i) q^{34} +(6963.51 + 5843.08i) q^{35} +(-15040.8 + 85300.6i) q^{36} +3784.89i q^{37} +(-1527.24 + 3980.24i) q^{38} +115197. q^{39} +(-5010.42 - 883.472i) q^{40} +(-72790.0 + 86747.7i) q^{41} +(3784.58 + 1377.47i) q^{42} +(-12238.4 + 4454.42i) q^{43} +(-96913.8 + 81320.3i) q^{44} +(43668.9 + 75636.7i) q^{45} +(-6249.63 - 3608.22i) q^{46} +(-24532.5 - 139131. i) q^{47} +(181103. - 31933.4i) q^{48} +(48782.6 - 84494.0i) q^{49} +(6195.88 - 3577.20i) q^{50} +(60820.7 + 72483.3i) q^{51} +(-54815.8 - 150605. i) q^{52} +(-59396.8 + 163191. i) q^{53} +(13771.9 + 11556.0i) q^{54} +(-22151.5 + 125627. i) q^{55} -11240.7i q^{56} +(-197398. - 243697. i) q^{57} +5224.36 q^{58} +(-239627. - 42252.7i) q^{59} +(119924. - 142920. i) q^{60} +(228548. + 83184.8i) q^{61} +(-28749.1 + 10463.8i) q^{62} +(-147818. + 124034. i) q^{63} +(-126349. - 218842. i) q^{64} +(-139954. - 80802.6i) q^{65} +(9814.33 + 55659.8i) q^{66} +(42572.2 - 7506.62i) q^{67} +(65821.6 - 114006. i) q^{68} +(459744. - 265433. i) q^{69} +(-3631.75 - 4328.15i) q^{70} +(99721.1 + 273982. i) q^{71} +(36938.0 - 101486. i) q^{72} +(170276. + 142879. i) q^{73} +(408.505 - 2316.75i) q^{74} +526302. i q^{75} +(-224673. + 374035. i) q^{76} -281841. q^{77} +(-70512.2 - 12433.2i) q^{78} +(181924. - 216809. i) q^{79} +(-242425. - 88235.4i) q^{80} +(-310016. + 112837. i) q^{81} +(53917.7 - 45242.3i) q^{82} +(459562. + 795986. i) q^{83} +(356976. + 206100. i) q^{84} +(-23050.0 - 130723. i) q^{85} +(7971.95 - 1405.67i) q^{86} +(-192161. + 332832. i) q^{87} +(136610. - 78871.8i) q^{88} +(147764. + 176098. i) q^{89} +(-18566.4 - 51010.7i) q^{90} +(122118. - 335515. i) q^{91} +(-565789. - 474753. i) q^{92} +(390815. - 2.21642e6i) q^{93} +87810.2i q^{94} +(68884.3 + 434533. i) q^{95} -346407. q^{96} +(1.53468e6 + 270605. i) q^{97} +(-38979.5 + 46453.9i) q^{98} +(-2.54459e6 - 926154. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54q - 6q^{2} - 36q^{3} + 192q^{4} - 6q^{5} + 720q^{6} - 219q^{7} - 9q^{8} - 2076q^{9} + O(q^{10}) \) \( 54q - 6q^{2} - 36q^{3} + 192q^{4} - 6q^{5} + 720q^{6} - 219q^{7} - 9q^{8} - 2076q^{9} - 1689q^{10} + 1677q^{11} - 9q^{12} - 10506q^{13} + 6105q^{14} + 24138q^{15} + 23760q^{16} - 3438q^{17} - 30918q^{19} - 76650q^{20} - 59055q^{21} + 20490q^{22} + 42498q^{23} + 31848q^{24} + 7914q^{25} + 109989q^{26} + 124821q^{27} - 109476q^{28} - 27726q^{29} - 153516q^{30} - 30789q^{31} - 114375q^{32} + 126039q^{33} + 359796q^{34} + 160161q^{35} + 184995q^{36} - 245244q^{38} - 390564q^{39} - 372678q^{40} - 24708q^{41} - 244893q^{42} - 30726q^{43} - 301419q^{44} + 293037q^{45} + 69246q^{46} - 71454q^{47} + 1024041q^{48} - 350346q^{49} - 104148q^{50} - 180672q^{51} + 921801q^{52} + 822558q^{53} + 308469q^{54} + 623517q^{55} - 17862q^{57} - 1150644q^{58} - 463812q^{59} - 908130q^{60} - 583698q^{61} - 429732q^{62} - 2576043q^{63} - 328293q^{64} - 1056789q^{65} - 1038756q^{66} + 1120464q^{67} + 717270q^{68} + 3771567q^{69} + 4845345q^{70} + 94494q^{71} + 2351634q^{72} + 950850q^{73} + 55149q^{74} - 218814q^{76} - 343086q^{77} + 1833471q^{78} - 4936494q^{79} - 9642039q^{80} - 769551q^{81} - 8627793q^{82} - 412131q^{83} - 3125205q^{84} - 896910q^{85} + 8878236q^{86} + 610737q^{87} + 13604751q^{88} + 6653022q^{89} + 3142734q^{90} + 3409821q^{91} - 3043740q^{92} - 816393q^{93} + 4839186q^{95} - 5667138q^{96} - 853656q^{97} - 17679315q^{98} - 13991937q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.612104 0.107930i −0.0765130 0.0134913i 0.135261 0.990810i \(-0.456813\pi\)
−0.211774 + 0.977319i \(0.567924\pi\)
\(3\) 29.3902 35.0259i 1.08853 1.29726i 0.136704 0.990612i \(-0.456349\pi\)
0.951824 0.306645i \(-0.0992063\pi\)
\(4\) −59.7773 21.7572i −0.934020 0.339956i
\(5\) −60.2750 + 21.9383i −0.482200 + 0.175507i −0.571671 0.820483i \(-0.693705\pi\)
0.0894708 + 0.995989i \(0.471482\pi\)
\(6\) −21.7702 + 18.2674i −0.100788 + 0.0845713i
\(7\) −70.8586 122.731i −0.206585 0.357815i 0.744052 0.668122i \(-0.232902\pi\)
−0.950637 + 0.310307i \(0.899568\pi\)
\(8\) 68.6913 + 39.6589i 0.134163 + 0.0774588i
\(9\) −236.440 1340.92i −0.324334 1.83939i
\(10\) 39.2624 6.92302i 0.0392624 0.00692302i
\(11\) 994.377 1722.31i 0.747090 1.29400i −0.202122 0.979360i \(-0.564784\pi\)
0.949212 0.314638i \(-0.101883\pi\)
\(12\) −2518.93 + 1454.31i −1.45772 + 0.841613i
\(13\) 1619.46 + 1930.00i 0.737125 + 0.878472i 0.996174 0.0873927i \(-0.0278535\pi\)
−0.259049 + 0.965864i \(0.583409\pi\)
\(14\) 30.1264 + 82.7717i 0.0109790 + 0.0301646i
\(15\) −1003.09 + 2755.96i −0.297211 + 0.816581i
\(16\) 3081.01 + 2585.28i 0.752200 + 0.631171i
\(17\) −359.351 + 2037.98i −0.0731428 + 0.414814i 0.926148 + 0.377160i \(0.123099\pi\)
−0.999291 + 0.0376533i \(0.988012\pi\)
\(18\) 846.299i 0.145113i
\(19\) 1307.84 6733.16i 0.190675 0.981653i
\(20\) 4080.40 0.510049
\(21\) −6381.31 1125.20i −0.689052 0.121498i
\(22\) −794.552 + 946.910i −0.0746198 + 0.0889284i
\(23\) 10910.3 + 3971.02i 0.896710 + 0.326376i 0.748934 0.662645i \(-0.230566\pi\)
0.147777 + 0.989021i \(0.452788\pi\)
\(24\) 3407.94 1240.39i 0.246524 0.0897273i
\(25\) −8817.65 + 7398.89i −0.564330 + 0.473529i
\(26\) −782.974 1356.15i −0.0445479 0.0771592i
\(27\) −25049.4 14462.3i −1.27264 0.734760i
\(28\) 1565.46 + 8878.19i 0.0713131 + 0.404437i
\(29\) −8277.72 + 1459.59i −0.339404 + 0.0598460i −0.340752 0.940153i \(-0.610682\pi\)
0.00134871 + 0.999999i \(0.499571\pi\)
\(30\) 911.446 1578.67i 0.0337573 0.0584693i
\(31\) 42628.1 24611.3i 1.43091 0.826133i 0.433715 0.901050i \(-0.357202\pi\)
0.997190 + 0.0749165i \(0.0238690\pi\)
\(32\) −4869.88 5803.70i −0.148617 0.177115i
\(33\) −31100.6 85448.1i −0.865419 2.37772i
\(34\) 439.920 1208.67i 0.0111927 0.0307518i
\(35\) 6963.51 + 5843.08i 0.162414 + 0.136282i
\(36\) −15040.8 + 85300.6i −0.322377 + 1.82829i
\(37\) 3784.89i 0.0747219i 0.999302 + 0.0373610i \(0.0118951\pi\)
−0.999302 + 0.0373610i \(0.988105\pi\)
\(38\) −1527.24 + 3980.24i −0.0278329 + 0.0725368i
\(39\) 115197. 1.94198
\(40\) −5010.42 883.472i −0.0782878 0.0138042i
\(41\) −72790.0 + 86747.7i −1.05614 + 1.25865i −0.0912938 + 0.995824i \(0.529100\pi\)
−0.964842 + 0.262830i \(0.915344\pi\)
\(42\) 3784.58 + 1377.47i 0.0510822 + 0.0185924i
\(43\) −12238.4 + 4454.42i −0.153929 + 0.0560255i −0.417835 0.908523i \(-0.637211\pi\)
0.263907 + 0.964548i \(0.414989\pi\)
\(44\) −96913.8 + 81320.3i −1.13770 + 0.954643i
\(45\) 43668.9 + 75636.7i 0.479219 + 0.830033i
\(46\) −6249.63 3608.22i −0.0642067 0.0370698i
\(47\) −24532.5 139131.i −0.236291 1.34008i −0.839877 0.542777i \(-0.817373\pi\)
0.603585 0.797298i \(-0.293738\pi\)
\(48\) 181103. 31933.4i 1.63758 0.288750i
\(49\) 48782.6 84494.0i 0.414645 0.718187i
\(50\) 6195.88 3577.20i 0.0495671 0.0286176i
\(51\) 60820.7 + 72483.3i 0.458502 + 0.546421i
\(52\) −54815.8 150605.i −0.389849 1.07110i
\(53\) −59396.8 + 163191.i −0.398966 + 1.09615i 0.563823 + 0.825896i \(0.309330\pi\)
−0.962789 + 0.270254i \(0.912892\pi\)
\(54\) 13771.9 + 11556.0i 0.0874607 + 0.0733882i
\(55\) −22151.5 + 125627.i −0.133142 + 0.755086i
\(56\) 11240.7i 0.0640073i
\(57\) −197398. 243697.i −1.06590 1.31591i
\(58\) 5224.36 0.0267762
\(59\) −239627. 42252.7i −1.16676 0.205731i −0.443477 0.896286i \(-0.646255\pi\)
−0.723280 + 0.690555i \(0.757366\pi\)
\(60\) 119924. 142920.i 0.555203 0.661665i
\(61\) 228548. + 83184.8i 1.00691 + 0.366484i 0.792244 0.610205i \(-0.208913\pi\)
0.214662 + 0.976688i \(0.431135\pi\)
\(62\) −28749.1 + 10463.8i −0.120628 + 0.0439052i
\(63\) −147818. + 124034.i −0.591160 + 0.496042i
\(64\) −126349. 218842.i −0.481982 0.834818i
\(65\) −139954. 80802.6i −0.509620 0.294229i
\(66\) 9814.33 + 55659.8i 0.0341373 + 0.193602i
\(67\) 42572.2 7506.62i 0.141547 0.0249586i −0.102426 0.994741i \(-0.532660\pi\)
0.243973 + 0.969782i \(0.421549\pi\)
\(68\) 65821.6 114006.i 0.209335 0.362579i
\(69\) 459744. 265433.i 1.39949 0.807994i
\(70\) −3631.75 4328.15i −0.0105882 0.0126185i
\(71\) 99721.1 + 273982.i 0.278620 + 0.765502i 0.997520 + 0.0703882i \(0.0224238\pi\)
−0.718900 + 0.695114i \(0.755354\pi\)
\(72\) 36938.0 101486.i 0.0989636 0.271900i
\(73\) 170276. + 142879.i 0.437709 + 0.367281i 0.834851 0.550476i \(-0.185554\pi\)
−0.397142 + 0.917757i \(0.629998\pi\)
\(74\) 408.505 2316.75i 0.00100810 0.00571720i
\(75\) 526302.i 1.24753i
\(76\) −224673. + 374035.i −0.511813 + 0.852063i
\(77\) −281841. −0.617350
\(78\) −70512.2 12433.2i −0.148587 0.0261999i
\(79\) 181924. 216809.i 0.368985 0.439740i −0.549320 0.835612i \(-0.685113\pi\)
0.918306 + 0.395872i \(0.129558\pi\)
\(80\) −242425. 88235.4i −0.473486 0.172335i
\(81\) −310016. + 112837.i −0.583349 + 0.212322i
\(82\) 53917.7 45242.3i 0.0977890 0.0820547i
\(83\) 459562. + 795986.i 0.803730 + 1.39210i 0.917145 + 0.398554i \(0.130488\pi\)
−0.113415 + 0.993548i \(0.536179\pi\)
\(84\) 356976. + 206100.i 0.602284 + 0.347729i
\(85\) −23050.0 130723.i −0.0375330 0.212860i
\(86\) 7971.95 1405.67i 0.0125334 0.00220998i
\(87\) −192161. + 332832.i −0.291815 + 0.505438i
\(88\) 136610. 78871.8i 0.200463 0.115737i
\(89\) 147764. + 176098.i 0.209603 + 0.249796i 0.860596 0.509289i \(-0.170091\pi\)
−0.650992 + 0.759084i \(0.725647\pi\)
\(90\) −18566.4 51010.7i −0.0254683 0.0699735i
\(91\) 122118. 335515.i 0.162052 0.445234i
\(92\) −565789. 474753.i −0.726593 0.609684i
\(93\) 390815. 2.21642e6i 0.485873 2.75552i
\(94\) 87810.2i 0.105721i
\(95\) 68884.3 + 434533.i 0.0803432 + 0.506818i
\(96\) −346407. −0.391537
\(97\) 1.53468e6 + 270605.i 1.68152 + 0.296498i 0.931182 0.364555i \(-0.118779\pi\)
0.750339 + 0.661053i \(0.229890\pi\)
\(98\) −38979.5 + 46453.9i −0.0414150 + 0.0493565i
\(99\) −2.54459e6 926154.i −2.62248 0.954503i
\(100\) 688074. 250439.i 0.688074 0.250439i
\(101\) −424086. + 355850.i −0.411614 + 0.345385i −0.824962 0.565188i \(-0.808804\pi\)
0.413348 + 0.910573i \(0.364359\pi\)
\(102\) −29405.4 50931.7i −0.0277094 0.0479941i
\(103\) −1.08292e6 625223.i −0.991023 0.572168i −0.0854434 0.996343i \(-0.527231\pi\)
−0.905580 + 0.424175i \(0.860564\pi\)
\(104\) 34701.2 + 196800.i 0.0308493 + 0.174955i
\(105\) 409319. 72173.9i 0.353585 0.0623465i
\(106\) 53970.3 93479.4i 0.0453145 0.0784871i
\(107\) −1.03971e6 + 600277.i −0.848713 + 0.490005i −0.860216 0.509929i \(-0.829672\pi\)
0.0115032 + 0.999934i \(0.496338\pi\)
\(108\) 1.18273e6 + 1.40952e6i 0.938887 + 1.11892i
\(109\) 470202. + 1.29187e6i 0.363082 + 0.997561i 0.977933 + 0.208917i \(0.0669940\pi\)
−0.614851 + 0.788643i \(0.710784\pi\)
\(110\) 27118.0 74506.2i 0.0203742 0.0559776i
\(111\) 132569. + 111239.i 0.0969335 + 0.0813369i
\(112\) 98976.5 561324.i 0.0704495 0.399539i
\(113\) 390471.i 0.270616i −0.990804 0.135308i \(-0.956798\pi\)
0.990804 0.135308i \(-0.0432024\pi\)
\(114\) 94525.4 + 170473.i 0.0638020 + 0.115065i
\(115\) −744735. −0.489675
\(116\) 526576. + 92849.6i 0.337355 + 0.0594848i
\(117\) 2.20507e6 2.62790e6i 1.37678 1.64078i
\(118\) 142116. + 51726.1i 0.0864964 + 0.0314821i
\(119\) 275586. 100305.i 0.163537 0.0595226i
\(120\) −178202. + 149529.i −0.103126 + 0.0865330i
\(121\) −1.09179e6 1.89104e6i −0.616287 1.06744i
\(122\) −130917. 75585.1i −0.0720970 0.0416252i
\(123\) 899104. + 5.09907e6i 0.483164 + 2.74016i
\(124\) −3.08367e6 + 543733.i −1.61734 + 0.285181i
\(125\) 870285. 1.50738e6i 0.445586 0.771778i
\(126\) 103867. 59967.6i 0.0519237 0.0299782i
\(127\) 1.60969e6 + 1.91836e6i 0.785836 + 0.936523i 0.999181 0.0404536i \(-0.0128803\pi\)
−0.213345 + 0.976977i \(0.568436\pi\)
\(128\) 219556. + 603225.i 0.104693 + 0.287640i
\(129\) −203670. + 559578.i −0.0948763 + 0.260670i
\(130\) 76945.5 + 64564.9i 0.0350230 + 0.0293878i
\(131\) 596082. 3.38055e6i 0.265150 1.50374i −0.503457 0.864020i \(-0.667939\pi\)
0.768607 0.639721i \(-0.220950\pi\)
\(132\) 5.78452e6i 2.51504i
\(133\) −919037. + 316590.i −0.390641 + 0.134568i
\(134\) −26868.8 −0.0111669
\(135\) 1.82713e6 + 322173.i 0.742623 + 0.130944i
\(136\) −105508. + 125740.i −0.0419440 + 0.0499869i
\(137\) −690509. 251325.i −0.268539 0.0977403i 0.204241 0.978921i \(-0.434527\pi\)
−0.472780 + 0.881180i \(0.656750\pi\)
\(138\) −310060. + 112852.i −0.117980 + 0.0429411i
\(139\) −1.52119e6 + 1.27643e6i −0.566419 + 0.475282i −0.880455 0.474129i \(-0.842763\pi\)
0.314036 + 0.949411i \(0.398319\pi\)
\(140\) −289131. 500790.i −0.105368 0.182504i
\(141\) −5.59420e6 3.22981e6i −1.99563 1.15218i
\(142\) −31468.7 178468.i −0.0109904 0.0623298i
\(143\) 4.93442e6 870072.i 1.68744 0.297541i
\(144\) 2.73817e6 4.74264e6i 0.917006 1.58830i
\(145\) 466919. 269576.i 0.153157 0.0884254i
\(146\) −88805.7 105835.i −0.0285353 0.0340070i
\(147\) −1.52575e6 4.19196e6i −0.480320 1.31967i
\(148\) 82348.5 226251.i 0.0254021 0.0697918i
\(149\) −482151. 404573.i −0.145755 0.122303i 0.566994 0.823722i \(-0.308106\pi\)
−0.712750 + 0.701418i \(0.752551\pi\)
\(150\) 56804.0 322151.i 0.0168308 0.0954522i
\(151\) 2.07323e6i 0.602166i −0.953598 0.301083i \(-0.902652\pi\)
0.953598 0.301083i \(-0.0973481\pi\)
\(152\) 356867. 410642.i 0.101619 0.116932i
\(153\) 2.81772e6 0.786727
\(154\) 172516. + 30419.2i 0.0472353 + 0.00832885i
\(155\) −2.02948e6 + 2.41864e6i −0.544991 + 0.649495i
\(156\) −6.88614e6 2.50635e6i −1.81385 0.660188i
\(157\) −4.09247e6 + 1.48954e6i −1.05752 + 0.384904i −0.811495 0.584360i \(-0.801346\pi\)
−0.246022 + 0.969264i \(0.579123\pi\)
\(158\) −134757. + 113074.i −0.0341648 + 0.0286677i
\(159\) 3.97025e6 + 6.87667e6i 0.987702 + 1.71075i
\(160\) 420855. + 242981.i 0.102748 + 0.0593215i
\(161\) −285721. 1.62041e6i −0.0684644 0.388281i
\(162\) 201940. 35607.5i 0.0474983 0.00837523i
\(163\) −528950. + 916169.i −0.122138 + 0.211550i −0.920611 0.390482i \(-0.872308\pi\)
0.798472 + 0.602031i \(0.205642\pi\)
\(164\) 6.23857e6 3.60184e6i 1.41434 0.816569i
\(165\) 3.74918e6 + 4.46810e6i 0.834611 + 0.994651i
\(166\) −195389. 536827.i −0.0427145 0.117357i
\(167\) −1.43844e6 + 3.95209e6i −0.308847 + 0.848550i 0.684035 + 0.729449i \(0.260223\pi\)
−0.992882 + 0.119101i \(0.961999\pi\)
\(168\) −393716. 330367.i −0.0830339 0.0696737i
\(169\) −264078. + 1.49766e6i −0.0547106 + 0.310279i
\(170\) 82503.7i 0.0167929i
\(171\) −9.33783e6 161714.i −1.86749 0.0323415i
\(172\) 828495. 0.162819
\(173\) 3.04627e6 + 537140.i 0.588343 + 0.103741i 0.459892 0.887975i \(-0.347888\pi\)
0.128451 + 0.991716i \(0.458999\pi\)
\(174\) 153545. 182988.i 0.0291466 0.0347356i
\(175\) 1.53288e6 + 557922.i 0.286018 + 0.104102i
\(176\) 7.51634e6 2.73572e6i 1.37870 0.501804i
\(177\) −8.52264e6 + 7.15135e6i −1.53693 + 1.28964i
\(178\) −71440.5 123739.i −0.0126673 0.0219404i
\(179\) −1.14823e6 662929.i −0.200202 0.115587i 0.396548 0.918014i \(-0.370208\pi\)
−0.596750 + 0.802427i \(0.703541\pi\)
\(180\) −964768. 5.47147e6i −0.165427 0.938181i
\(181\) 6.26042e6 1.10388e6i 1.05577 0.186160i 0.381289 0.924456i \(-0.375480\pi\)
0.674477 + 0.738296i \(0.264369\pi\)
\(182\) −110961. + 192190.i −0.0184058 + 0.0318799i
\(183\) 9.63072e6 5.56030e6i 1.57147 0.907287i
\(184\) 591954. + 705464.i 0.0950243 + 0.113246i
\(185\) −83034.1 228134.i −0.0131142 0.0360309i
\(186\) −478439. + 1.31450e6i −0.0743511 + 0.204278i
\(187\) 3.15270e6 + 2.64543e6i 0.482124 + 0.404550i
\(188\) −1.56060e6 + 8.85061e6i −0.234865 + 1.33199i
\(189\) 4.09911e6i 0.607161i
\(190\) 4735.04 273414.i 0.000690339 0.0398621i
\(191\) 2.58323e6 0.370735 0.185367 0.982669i \(-0.440653\pi\)
0.185367 + 0.982669i \(0.440653\pi\)
\(192\) −1.13786e7 2.00635e6i −1.60762 0.283467i
\(193\) 3.63161e6 4.32798e6i 0.505157 0.602023i −0.451847 0.892095i \(-0.649235\pi\)
0.957005 + 0.290072i \(0.0936793\pi\)
\(194\) −910176. 331277.i −0.124658 0.0453718i
\(195\) −6.94348e6 + 2.52722e6i −0.936425 + 0.340831i
\(196\) −4.75444e6 + 3.98945e6i −0.631439 + 0.529840i
\(197\) −796513. 1.37960e6i −0.104182 0.180449i 0.809221 0.587504i \(-0.199889\pi\)
−0.913404 + 0.407055i \(0.866556\pi\)
\(198\) 1.45759e6 + 841540.i 0.187776 + 0.108412i
\(199\) 401885. + 2.27920e6i 0.0509967 + 0.289217i 0.999631 0.0271576i \(-0.00864558\pi\)
−0.948634 + 0.316374i \(0.897534\pi\)
\(200\) −899128. + 158540.i −0.112391 + 0.0198176i
\(201\) 988280. 1.71175e6i 0.121700 0.210791i
\(202\) 297992. 172046.i 0.0361535 0.0208732i
\(203\) 765683. + 912506.i 0.0915295 + 0.109081i
\(204\) −2.05867e6 5.65614e6i −0.242491 0.666239i
\(205\) 2.48432e6 6.82561e6i 0.288367 0.792282i
\(206\) 595378. + 499581.i 0.0681069 + 0.0571484i
\(207\) 2.74518e6 1.55687e7i 0.309499 1.75526i
\(208\) 1.01331e7i 1.12604i
\(209\) −1.02961e7 8.94780e6i −1.12781 0.980116i
\(210\) −258335. −0.0278950
\(211\) −1.43029e7 2.52198e6i −1.52257 0.268469i −0.651125 0.758971i \(-0.725703\pi\)
−0.871440 + 0.490501i \(0.836814\pi\)
\(212\) 7.10117e6 8.46284e6i 0.745284 0.888195i
\(213\) 1.25273e7 + 4.55956e6i 1.29634 + 0.471828i
\(214\) 701199. 255215.i 0.0715484 0.0260415i
\(215\) 639949. 536981.i 0.0643917 0.0540310i
\(216\) −1.14712e6 1.98686e6i −0.113827 0.197155i
\(217\) −6.04113e6 3.48785e6i −0.591207 0.341333i
\(218\) −148381. 841508.i −0.0143221 0.0812248i
\(219\) 1.00089e7 1.76484e6i 0.952916 0.168025i
\(220\) 4.05745e6 7.02771e6i 0.381053 0.660003i
\(221\) −4.51526e6 + 2.60689e6i −0.418317 + 0.241516i
\(222\) −69140.1 82398.0i −0.00631933 0.00753109i
\(223\) 969752. + 2.66437e6i 0.0874472 + 0.240259i 0.975706 0.219084i \(-0.0703070\pi\)
−0.888259 + 0.459343i \(0.848085\pi\)
\(224\) −367219. + 1.00893e6i −0.0326724 + 0.0897666i
\(225\) 1.20061e7 + 1.00743e7i 1.05404 + 0.884442i
\(226\) −42143.7 + 239009.i −0.00365096 + 0.0207056i
\(227\) 6.80490e6i 0.581761i −0.956759 0.290880i \(-0.906052\pi\)
0.956759 0.290880i \(-0.0939481\pi\)
\(228\) 6.49773e6 + 1.88624e7i 0.548223 + 1.59145i
\(229\) −1.53044e7 −1.27441 −0.637204 0.770695i \(-0.719909\pi\)
−0.637204 + 0.770695i \(0.719909\pi\)
\(230\) 455855. + 80379.5i 0.0374665 + 0.00660636i
\(231\) −8.28337e6 + 9.87173e6i −0.672003 + 0.800861i
\(232\) −626492. 228025.i −0.0501709 0.0182607i
\(233\) −5.10526e6 + 1.85816e6i −0.403599 + 0.146898i −0.535840 0.844320i \(-0.680005\pi\)
0.132241 + 0.991218i \(0.457783\pi\)
\(234\) −1.63336e6 + 1.37055e6i −0.127478 + 0.106966i
\(235\) 4.53099e6 + 7.84790e6i 0.349132 + 0.604714i
\(236\) 1.34050e7 + 7.73936e6i 1.01983 + 0.588802i
\(237\) −2.24713e6 1.27441e7i −0.168804 0.957338i
\(238\) −179513. + 31653.0i −0.0133157 + 0.00234792i
\(239\) −9.84037e6 + 1.70440e7i −0.720805 + 1.24847i 0.239873 + 0.970804i \(0.422894\pi\)
−0.960678 + 0.277666i \(0.910439\pi\)
\(240\) −1.02155e7 + 5.89789e6i −0.738965 + 0.426642i
\(241\) 4.88777e6 + 5.82502e6i 0.349188 + 0.416147i 0.911839 0.410548i \(-0.134663\pi\)
−0.562650 + 0.826695i \(0.690218\pi\)
\(242\) 464189. + 1.27535e6i 0.0327528 + 0.0899876i
\(243\) 2.05260e6 5.63947e6i 0.143049 0.393024i
\(244\) −1.18521e7 9.94513e6i −0.815882 0.684606i
\(245\) −1.08672e6 + 6.16309e6i −0.0738956 + 0.419083i
\(246\) 3.21820e6i 0.216176i
\(247\) 1.51130e7 8.37998e6i 1.00291 0.556099i
\(248\) 3.90424e6 0.255965
\(249\) 4.13868e7 + 7.29761e6i 2.68080 + 0.472697i
\(250\) −695397. + 828742.i −0.0445054 + 0.0530395i
\(251\) −2.73257e7 9.94572e6i −1.72802 0.628949i −0.729536 0.683943i \(-0.760264\pi\)
−0.998487 + 0.0549941i \(0.982486\pi\)
\(252\) 1.15348e7 4.19832e6i 0.720788 0.262345i
\(253\) 1.76883e7 1.48422e7i 1.09225 0.916509i
\(254\) −778250. 1.34797e6i −0.0474918 0.0822581i
\(255\) −5.25613e6 3.03463e6i −0.316990 0.183014i
\(256\) 2.73906e6 + 1.55340e7i 0.163261 + 0.925899i
\(257\) −2.50513e7 + 4.41722e6i −1.47581 + 0.260226i −0.852904 0.522069i \(-0.825161\pi\)
−0.622909 + 0.782294i \(0.714049\pi\)
\(258\) 185063. 320538.i 0.0107760 0.0186647i
\(259\) 464522. 268192.i 0.0267367 0.0154364i
\(260\) 6.60805e6 + 7.87517e6i 0.375970 + 0.448064i
\(261\) 3.91436e6 + 1.07546e7i 0.220161 + 0.604886i
\(262\) −729728. + 2.00491e6i −0.0405748 + 0.111478i
\(263\) −1.94736e7 1.63403e7i −1.07048 0.898241i −0.0753860 0.997154i \(-0.524019\pi\)
−0.995096 + 0.0989133i \(0.968463\pi\)
\(264\) 1.25244e6 7.10295e6i 0.0680685 0.386036i
\(265\) 1.11394e7i 0.598585i
\(266\) 596716. 94594.2i 0.0317046 0.00502597i
\(267\) 1.05108e7 0.552208
\(268\) −2.70817e6 477524.i −0.140693 0.0248079i
\(269\) 132809. 158275.i 0.00682291 0.00813123i −0.762622 0.646844i \(-0.776088\pi\)
0.769445 + 0.638713i \(0.220533\pi\)
\(270\) −1.08362e6 394406.i −0.0550537 0.0200379i
\(271\) 1.58365e7 5.76403e6i 0.795705 0.289613i 0.0879996 0.996121i \(-0.471953\pi\)
0.707706 + 0.706508i \(0.249730\pi\)
\(272\) −6.37590e6 + 5.35002e6i −0.316836 + 0.265857i
\(273\) −8.16267e6 1.41382e7i −0.401185 0.694872i
\(274\) 395538. + 228364.i 0.0192281 + 0.0111013i
\(275\) 3.97512e6 + 2.25440e7i 0.191140 + 1.08401i
\(276\) −3.32573e7 + 5.86417e6i −1.58183 + 0.278920i
\(277\) −2.44722e6 + 4.23871e6i −0.115142 + 0.199432i −0.917837 0.396959i \(-0.870066\pi\)
0.802695 + 0.596390i \(0.203399\pi\)
\(278\) 1.06889e6 617123.i 0.0497506 0.0287235i
\(279\) −4.30807e7 5.13416e7i −1.98367 2.36405i
\(280\) 246602. + 677534.i 0.0112337 + 0.0308643i
\(281\) −8.18739e6 + 2.24947e7i −0.369000 + 1.01382i 0.606742 + 0.794899i \(0.292476\pi\)
−0.975743 + 0.218921i \(0.929746\pi\)
\(282\) 3.07563e6 + 2.58076e6i 0.137147 + 0.115080i
\(283\) 1.43620e6 8.14512e6i 0.0633661 0.359367i −0.936594 0.350417i \(-0.886040\pi\)
0.999960 0.00895018i \(-0.00284897\pi\)
\(284\) 1.85475e7i 0.809713i
\(285\) 1.72445e7 + 1.03583e7i 0.744929 + 0.447460i
\(286\) −3.11429e6 −0.133125
\(287\) 1.58044e7 + 2.78674e6i 0.668548 + 0.117883i
\(288\) −6.63084e6 + 7.90233e6i −0.277582 + 0.330809i
\(289\) 1.86577e7 + 6.79084e6i 0.772972 + 0.281339i
\(290\) −314898. + 114614.i −0.0129115 + 0.00469940i
\(291\) 5.45828e7 4.58004e7i 2.21502 1.85862i
\(292\) −7.07001e6 1.22456e7i −0.283970 0.491850i
\(293\) 177822. + 102666.i 0.00706941 + 0.00408153i 0.503531 0.863977i \(-0.332034\pi\)
−0.496461 + 0.868059i \(0.665367\pi\)
\(294\) 481476. + 2.73059e6i 0.0189467 + 0.107452i
\(295\) 1.53705e7 2.71023e6i 0.598717 0.105570i
\(296\) −150105. + 259989.i −0.00578787 + 0.0100249i
\(297\) −4.98171e7 + 2.87619e7i −1.90155 + 1.09786i
\(298\) 251461. + 299679.i 0.00950215 + 0.0113242i
\(299\) 1.00047e7 + 2.74878e7i 0.374276 + 1.02831i
\(300\) 1.14508e7 3.14609e7i 0.424105 1.16522i
\(301\) 1.41389e6 + 1.18640e6i 0.0518461 + 0.0435041i
\(302\) −223764. + 1.26903e6i −0.00812400 + 0.0460735i
\(303\) 2.53125e7i 0.909930i
\(304\) 2.14365e7 1.73638e7i 0.763017 0.618052i
\(305\) −1.56007e7 −0.549851
\(306\) −1.72474e6 304118.i −0.0601948 0.0106140i
\(307\) 615199. 733166.i 0.0212618 0.0253389i −0.755309 0.655369i \(-0.772513\pi\)
0.776571 + 0.630030i \(0.216958\pi\)
\(308\) 1.68477e7 + 6.13205e6i 0.576617 + 0.209872i
\(309\) −5.37262e7 + 1.95548e7i −1.82100 + 0.662792i
\(310\) 1.50330e6 1.26142e6i 0.0504614 0.0423422i
\(311\) −4.07897e6 7.06498e6i −0.135603 0.234871i 0.790225 0.612817i \(-0.209964\pi\)
−0.925828 + 0.377946i \(0.876630\pi\)
\(312\) 7.91300e6 + 4.56857e6i 0.260542 + 0.150424i
\(313\) 4.76634e6 + 2.70313e7i 0.155436 + 0.881522i 0.958386 + 0.285476i \(0.0921515\pi\)
−0.802950 + 0.596047i \(0.796737\pi\)
\(314\) 2.66579e6 470050.i 0.0861066 0.0151829i
\(315\) 6.18863e6 1.07190e7i 0.197999 0.342944i
\(316\) −1.55921e7 + 9.00209e6i −0.494132 + 0.285287i
\(317\) 7.84855e6 + 9.35354e6i 0.246384 + 0.293629i 0.875036 0.484058i \(-0.160838\pi\)
−0.628652 + 0.777686i \(0.716393\pi\)
\(318\) −1.68800e6 4.63774e6i −0.0524918 0.144220i
\(319\) −5.71731e6 + 1.57082e7i −0.176125 + 0.483898i
\(320\) 1.24167e7 + 1.04189e7i 0.378928 + 0.317958i
\(321\) −9.53208e6 + 5.40591e7i −0.288186 + 1.63438i
\(322\) 1.02269e6i 0.0306322i
\(323\) 1.32521e7 + 5.08491e6i 0.393257 + 0.150895i
\(324\) 2.09869e7 0.617040
\(325\) −2.85597e7 5.03585e6i −0.831963 0.146698i
\(326\) 422655. 503700.i 0.0121992 0.0145385i
\(327\) 5.90683e7 + 2.14991e7i 1.68932 + 0.614861i
\(328\) −8.44035e6 + 3.07204e6i −0.239188 + 0.0870572i
\(329\) −1.53373e7 + 1.28695e7i −0.430685 + 0.361388i
\(330\) −1.81264e6 3.13959e6i −0.0504394 0.0873637i
\(331\) 2.46239e7 + 1.42166e7i 0.679004 + 0.392023i 0.799479 0.600693i \(-0.205109\pi\)
−0.120476 + 0.992716i \(0.538442\pi\)
\(332\) −1.01530e7 5.75806e7i −0.277448 1.57348i
\(333\) 5.07522e6 894899.i 0.137443 0.0242349i
\(334\) 1.30703e6 2.26384e6i 0.0350788 0.0607583i
\(335\) −2.40136e6 + 1.38642e6i −0.0638737 + 0.0368775i
\(336\) −1.67519e7 1.99642e7i −0.441619 0.526301i
\(337\) 457560. + 1.25714e6i 0.0119552 + 0.0328468i 0.945527 0.325545i \(-0.105548\pi\)
−0.933571 + 0.358391i \(0.883325\pi\)
\(338\) 323286. 888220.i 0.00837214 0.0230023i
\(339\) −1.36766e7 1.14760e7i −0.351059 0.294573i
\(340\) −1.46629e6 + 8.31576e6i −0.0373064 + 0.211575i
\(341\) 9.78918e7i 2.46878i
\(342\) 5.69827e6 + 1.10682e6i 0.142451 + 0.0276694i
\(343\) −3.04996e7 −0.755808
\(344\) −1.01733e6 179383.i −0.0249912 0.00440661i
\(345\) −2.18879e7 + 2.60850e7i −0.533025 + 0.635234i
\(346\) −1.80666e6 657571.i −0.0436163 0.0158750i
\(347\) 7.21379e7 2.62561e7i 1.72653 0.628407i 0.728160 0.685407i \(-0.240376\pi\)
0.998374 + 0.0569996i \(0.0181534\pi\)
\(348\) 1.87283e7 1.57149e7i 0.444387 0.372885i
\(349\) −363884. 630265.i −0.00856024 0.0148268i 0.861714 0.507395i \(-0.169392\pi\)
−0.870274 + 0.492568i \(0.836058\pi\)
\(350\) −878063. 506950.i −0.0204796 0.0118239i
\(351\) −1.26544e7 7.17665e7i −0.292630 1.65959i
\(352\) −1.48383e7 + 2.61639e6i −0.340216 + 0.0599893i
\(353\) −6.58573e6 + 1.14068e7i −0.149720 + 0.259323i −0.931124 0.364703i \(-0.881171\pi\)
0.781404 + 0.624025i \(0.214504\pi\)
\(354\) 5.98859e6 3.45751e6i 0.134994 0.0779389i
\(355\) −1.20214e7 1.43265e7i −0.268701 0.320226i
\(356\) −5.00153e6 1.37416e7i −0.110854 0.304570i
\(357\) 4.58626e6 1.26006e7i 0.100798 0.276941i
\(358\) 631283. + 529710.i 0.0137586 + 0.0115449i
\(359\) −9.15166e6 + 5.19016e7i −0.197796 + 1.12175i 0.710586 + 0.703611i \(0.248430\pi\)
−0.908381 + 0.418143i \(0.862681\pi\)
\(360\) 6.92744e6i 0.148479i
\(361\) −4.36250e7 1.76118e7i −0.927286 0.374353i
\(362\) −3.95117e6 −0.0832914
\(363\) −9.83233e7 1.73371e7i −2.05559 0.362456i
\(364\) −1.45997e7 + 1.73993e7i −0.302719 + 0.360767i
\(365\) −1.33979e7 4.87644e6i −0.275524 0.100282i
\(366\) −6.49513e6 + 2.36403e6i −0.132478 + 0.0482181i
\(367\) −2.76426e7 + 2.31949e7i −0.559217 + 0.469239i −0.878048 0.478573i \(-0.841154\pi\)
0.318831 + 0.947812i \(0.396710\pi\)
\(368\) 2.33485e7 + 4.04408e7i 0.468507 + 0.811478i
\(369\) 1.33532e8 + 7.70946e7i 2.65770 + 1.53442i
\(370\) 26202.9 + 148604.i 0.000517301 + 0.00293376i
\(371\) 2.42374e7 4.27370e6i 0.474640 0.0836918i
\(372\) −7.15849e7 + 1.23989e8i −1.39057 + 2.40854i
\(373\) 8.20463e7 4.73695e7i 1.58100 0.912792i 0.586289 0.810102i \(-0.300588\pi\)
0.994713 0.102691i \(-0.0327452\pi\)
\(374\) −1.64426e6 1.95955e6i −0.0314308 0.0374578i
\(375\) −2.72194e7 7.47848e7i −0.516161 1.41814i
\(376\) 3.83260e6 1.05300e7i 0.0720992 0.198091i
\(377\) −1.62225e7 1.36123e7i −0.302756 0.254043i
\(378\) 442418. 2.50908e6i 0.00819139 0.0464557i
\(379\) 4.64974e6i 0.0854105i −0.999088 0.0427052i \(-0.986402\pi\)
0.999088 0.0427052i \(-0.0135976\pi\)
\(380\) 5.33649e6 2.74740e7i 0.0972535 0.500692i
\(381\) 1.14502e8 2.07032
\(382\) −1.58120e6 278809.i −0.0283660 0.00500169i
\(383\) −9.29716e6 + 1.10799e7i −0.165483 + 0.197215i −0.842413 0.538832i \(-0.818866\pi\)
0.676930 + 0.736048i \(0.263310\pi\)
\(384\) 2.75813e7 + 1.00388e7i 0.487104 + 0.177291i
\(385\) 1.69880e7 6.18311e6i 0.297686 0.108349i
\(386\) −2.69004e6 + 2.25721e6i −0.0467732 + 0.0392474i
\(387\) 8.86665e6 + 1.53575e7i 0.152977 + 0.264964i
\(388\) −8.58514e7 4.95663e7i −1.46978 0.848577i
\(389\) −7.80599e6 4.42700e7i −0.132611 0.752074i −0.976494 0.215546i \(-0.930847\pi\)
0.843883 0.536528i \(-0.180264\pi\)
\(390\) 4.52289e6 797508.i 0.0762469 0.0134444i
\(391\) −1.20135e7 + 2.08079e7i −0.200973 + 0.348096i
\(392\) 6.70188e6 3.86933e6i 0.111260 0.0642359i
\(393\) −1.00888e8 1.20233e8i −1.66211 1.98083i
\(394\) 338648. + 930427.i 0.00553681 + 0.0152123i
\(395\) −6.20907e6 + 1.70593e7i −0.100748 + 0.276802i
\(396\) 1.31958e8 + 1.10726e8i 2.12496 + 1.78305i
\(397\) −1.49001e7 + 8.45024e7i −0.238131 + 1.35051i 0.597787 + 0.801655i \(0.296047\pi\)
−0.835918 + 0.548854i \(0.815064\pi\)
\(398\) 1.43848e6i 0.0228168i
\(399\) −1.59218e7 + 4.14948e7i −0.250654 + 0.653243i
\(400\) −4.62955e7 −0.723367
\(401\) −6.66683e6 1.17554e6i −0.103392 0.0182308i 0.121713 0.992565i \(-0.461161\pi\)
−0.225105 + 0.974335i \(0.572272\pi\)
\(402\) −789680. + 941104.i −0.0121555 + 0.0144864i
\(403\) 1.16535e8 + 4.24151e7i 1.78049 + 0.648046i
\(404\) 3.30930e7 1.20449e7i 0.501871 0.182666i
\(405\) 1.62108e7 1.36025e7i 0.244027 0.204763i
\(406\) −370191. 641189.i −0.00553156 0.00958093i
\(407\) 6.51876e6 + 3.76361e6i 0.0966900 + 0.0558240i
\(408\) 1.30324e6 + 7.39105e6i 0.0191887 + 0.108824i
\(409\) −3.17451e7 + 5.59751e6i −0.463987 + 0.0818135i −0.400755 0.916185i \(-0.631252\pi\)
−0.0632326 + 0.997999i \(0.520141\pi\)
\(410\) −2.25735e6 + 3.90985e6i −0.0327527 + 0.0567294i
\(411\) −2.90971e7 + 1.67992e7i −0.419106 + 0.241971i
\(412\) 5.11308e7 + 6.09354e7i 0.731124 + 0.871320i
\(413\) 1.17939e7 + 3.24036e7i 0.167421 + 0.459984i
\(414\) −3.36067e6 + 9.23336e6i −0.0473614 + 0.130124i
\(415\) −4.51627e7 3.78960e7i −0.631882 0.530212i
\(416\) 3.31455e6 1.87977e7i 0.0460410 0.261111i
\(417\) 9.07955e7i 1.25215i
\(418\) 5.33655e6 + 6.58825e6i 0.0730688 + 0.0902072i
\(419\) −3.45775e7 −0.470058 −0.235029 0.971988i \(-0.575518\pi\)
−0.235029 + 0.971988i \(0.575518\pi\)
\(420\) −2.60383e7 4.59125e6i −0.351450 0.0619702i
\(421\) −9.07973e6 + 1.08208e7i −0.121682 + 0.145015i −0.823446 0.567394i \(-0.807952\pi\)
0.701764 + 0.712409i \(0.252396\pi\)
\(422\) 8.48264e6 + 3.08743e6i 0.112874 + 0.0410828i
\(423\) −1.80762e8 + 6.57920e7i −2.38829 + 0.869265i
\(424\) −1.05520e7 + 8.85421e6i −0.138433 + 0.116159i
\(425\) −1.19102e7 2.06290e7i −0.155150 0.268727i
\(426\) −7.17589e6 4.14300e6i −0.0928211 0.0535903i
\(427\) −5.98529e6 3.39443e7i −0.0768779 0.435996i
\(428\) 7.52114e7 1.32618e7i 0.959295 0.169150i
\(429\) 1.14549e8 1.98404e8i 1.45084 2.51292i
\(430\) −449671. + 259618.i −0.00565575 + 0.00326535i
\(431\) 7.21966e7 + 8.60406e7i 0.901747 + 1.07466i 0.996859 + 0.0791941i \(0.0252347\pi\)
−0.0951118 + 0.995467i \(0.530321\pi\)
\(432\) −3.97885e7 1.09318e8i −0.493522 1.35594i
\(433\) 3.60533e7 9.90557e7i 0.444101 1.22016i −0.492670 0.870216i \(-0.663979\pi\)
0.936771 0.349942i \(-0.113799\pi\)
\(434\) 3.32136e6 + 2.78695e6i 0.0406299 + 0.0340926i
\(435\) 4.28072e6 2.42772e7i 0.0520055 0.294938i
\(436\) 8.74548e7i 1.05517i
\(437\) 4.10064e7 6.82672e7i 0.491368 0.818027i
\(438\) −6.31697e6 −0.0751773
\(439\) −4.02051e7 7.08924e6i −0.475212 0.0837927i −0.0690879 0.997611i \(-0.522009\pi\)
−0.406124 + 0.913818i \(0.633120\pi\)
\(440\) −6.50386e6 + 7.75100e6i −0.0763507 + 0.0909912i
\(441\) −1.24834e8 4.54357e7i −1.45551 0.529763i
\(442\) 3.04517e6 1.10835e6i 0.0352651 0.0128354i
\(443\) 3.23144e7 2.71150e7i 0.371694 0.311888i −0.437737 0.899103i \(-0.644220\pi\)
0.809431 + 0.587215i \(0.199776\pi\)
\(444\) −5.50439e6 9.53389e6i −0.0628870 0.108923i
\(445\) −1.27698e7 7.37263e6i −0.144912 0.0836648i
\(446\) −306022. 1.73554e6i −0.00344944 0.0195627i
\(447\) −2.83411e7 + 4.99730e6i −0.317318 + 0.0559516i
\(448\) −1.79058e7 + 3.10137e7i −0.199140 + 0.344921i
\(449\) −6.83823e6 + 3.94805e6i −0.0755448 + 0.0436158i −0.537297 0.843393i \(-0.680554\pi\)
0.461752 + 0.887009i \(0.347221\pi\)
\(450\) −6.26167e6 7.46237e6i −0.0687152 0.0818916i
\(451\) 7.70259e7 + 2.11627e8i 0.839667 + 2.30697i
\(452\) −8.49554e6 + 2.33413e7i −0.0919975 + 0.252761i
\(453\) −7.26167e7 6.09327e7i −0.781164 0.655474i
\(454\) −734456. + 4.16531e6i −0.00784871 + 0.0445122i
\(455\) 2.29022e7i 0.243133i
\(456\) −3.89471e6 2.45685e7i −0.0410753 0.259109i
\(457\) −2.11364e7 −0.221453 −0.110727 0.993851i \(-0.535318\pi\)
−0.110727 + 0.993851i \(0.535318\pi\)
\(458\) 9.36785e6 + 1.65181e6i 0.0975088 + 0.0171934i
\(459\) 3.84753e7 4.58531e7i 0.397873 0.474166i
\(460\) 4.45182e7 + 1.62033e7i 0.457367 + 0.166468i
\(461\) 1.77805e8 6.47157e7i 1.81485 0.660552i 0.818569 0.574409i \(-0.194768\pi\)
0.996283 0.0861430i \(-0.0274542\pi\)
\(462\) 6.13574e6 5.14850e6i 0.0622216 0.0522101i
\(463\) −5.83247e7 1.01021e8i −0.587637 1.01782i −0.994541 0.104347i \(-0.966725\pi\)
0.406904 0.913471i \(-0.366608\pi\)
\(464\) −2.92772e7 1.69032e7i −0.293073 0.169206i
\(465\) 2.50682e7 + 1.42169e8i 0.249324 + 1.41399i
\(466\) 3.32550e6 586375.i 0.0328624 0.00579452i
\(467\) 1.81564e7 3.14477e7i 0.178270 0.308773i −0.763018 0.646377i \(-0.776283\pi\)
0.941288 + 0.337604i \(0.109617\pi\)
\(468\) −1.88988e8 + 1.09113e8i −1.84373 + 1.06448i
\(469\) −3.93790e6 4.69300e6i −0.0381721 0.0454917i
\(470\) −1.92641e6 5.29276e6i −0.0185547 0.0509787i
\(471\) −6.81063e7 + 1.87121e8i −0.651816 + 1.79085i
\(472\) −1.47846e7 1.24057e7i −0.140599 0.117977i
\(473\) −4.49770e6 + 2.55077e7i −0.0425018 + 0.241040i
\(474\) 8.04326e6i 0.0755261i
\(475\) 3.82859e7 + 6.90472e7i 0.357238 + 0.644266i
\(476\) −1.86561e7 −0.172982
\(477\) 2.32870e8 + 4.10612e7i 2.14565 + 0.378335i
\(478\) 7.86289e6 9.37063e6i 0.0719944 0.0857996i
\(479\) −1.50084e8 5.46262e7i −1.36562 0.497043i −0.447829 0.894119i \(-0.647803\pi\)
−0.917786 + 0.397076i \(0.870025\pi\)
\(480\) 2.08797e7 7.59958e6i 0.188799 0.0687173i
\(481\) −7.30485e6 + 6.12949e6i −0.0656411 + 0.0550794i
\(482\) −2.36313e6 4.09306e6i −0.0211031 0.0365516i
\(483\) −6.51537e7 3.76165e7i −0.578226 0.333839i
\(484\) 2.41207e7 + 1.36795e8i 0.212742 + 1.20652i
\(485\) −9.84395e7 + 1.73575e7i −0.862867 + 0.152147i
\(486\) −1.86507e6 + 3.23040e6i −0.0162475 + 0.0281415i
\(487\) 1.29662e8 7.48603e7i 1.12260 0.648134i 0.180537 0.983568i \(-0.442216\pi\)
0.942064 + 0.335434i \(0.108883\pi\)
\(488\) 1.24003e7 + 1.47781e7i 0.106702 + 0.127162i
\(489\) 1.65437e7 + 4.54534e7i 0.141483 + 0.388723i
\(490\) 1.33037e6 3.65516e6i 0.0113079 0.0310683i
\(491\) −6.39263e7 5.36405e7i −0.540051 0.453157i 0.331504 0.943454i \(-0.392444\pi\)
−0.871555 + 0.490297i \(0.836888\pi\)
\(492\) 5.71953e7 3.24371e8i 0.480247 2.72362i
\(493\) 1.73943e7i 0.145167i
\(494\) −1.01552e7 + 3.49826e6i −0.0842378 + 0.0290183i
\(495\) 1.73693e8 1.43208
\(496\) 1.94965e8 + 3.43776e7i 1.59776 + 0.281728i
\(497\) 2.65599e7 3.16528e7i 0.216350 0.257836i
\(498\) −2.45454e7 8.93379e6i −0.198738 0.0723348i
\(499\) −1.00352e8 + 3.65252e7i −0.807653 + 0.293962i −0.712654 0.701516i \(-0.752507\pi\)
−0.0949989 + 0.995477i \(0.530285\pi\)
\(500\) −8.48196e7 + 7.11721e7i −0.678557 + 0.569377i
\(501\) 9.61495e7 + 1.66536e8i 0.764599 + 1.32432i
\(502\) 1.56527e7 + 9.03708e6i 0.123731 + 0.0714360i
\(503\) 3.18255e7 + 1.80491e8i 0.250075 + 1.41825i 0.808404 + 0.588628i \(0.200332\pi\)
−0.558329 + 0.829620i \(0.688557\pi\)
\(504\) −1.50728e7 + 2.65775e6i −0.117734 + 0.0207598i
\(505\) 1.77550e7 3.07526e7i 0.137863 0.238786i
\(506\) −1.24290e7 + 7.17587e6i −0.0959364 + 0.0553889i
\(507\) 4.46956e7 + 5.32661e7i 0.342958 + 0.408721i
\(508\) −5.44851e7 1.49697e8i −0.415611 1.14188i
\(509\) −2.73629e7 + 7.51789e7i −0.207495 + 0.570089i −0.999165 0.0408608i \(-0.986990\pi\)
0.791670 + 0.610950i \(0.209212\pi\)
\(510\) 2.88977e6 + 2.42480e6i 0.0217848 + 0.0182796i
\(511\) 5.47007e6 3.10223e7i 0.0409949 0.232494i
\(512\) 5.08882e7i 0.379146i
\(513\) −1.30137e8 + 1.49747e8i −0.963940 + 1.10919i
\(514\) 1.58108e7 0.116430
\(515\) 7.89893e7 + 1.39279e7i 0.578291 + 0.101968i
\(516\) 2.43497e7 2.90188e7i 0.177233 0.211218i
\(517\) −2.64021e8 9.60957e7i −1.91059 0.695396i
\(518\) −313282. + 114025.i −0.00225396 + 0.000820374i
\(519\) 1.08345e8 9.09119e7i 0.775006 0.650307i
\(520\) −6.40909e6 1.11009e7i −0.0455813 0.0789491i
\(521\) −7.33350e7 4.23400e7i −0.518559 0.299390i 0.217786 0.975997i \(-0.430117\pi\)
−0.736345 + 0.676606i \(0.763450\pi\)
\(522\) −1.23525e6 7.00543e6i −0.00868444 0.0492519i
\(523\) −2.04745e7 + 3.61021e6i −0.143123 + 0.0252364i −0.244750 0.969586i \(-0.578706\pi\)
0.101628 + 0.994822i \(0.467595\pi\)
\(524\) −1.09183e8 + 1.89111e8i −0.758861 + 1.31439i
\(525\) 6.45934e7 3.72930e7i 0.446386 0.257721i
\(526\) 1.01563e7 + 1.21038e7i 0.0697873 + 0.0831693i
\(527\) 3.48390e7 + 9.57193e7i 0.238031 + 0.653985i
\(528\) 1.25086e8 3.43670e8i 0.849779 2.33475i
\(529\) −1.01369e7 8.50588e6i −0.0684761 0.0574582i
\(530\) −1.20228e6 + 6.81849e6i −0.00807569 + 0.0457995i
\(531\) 3.31310e8i 2.21285i
\(532\) 6.18257e7 + 1.07071e6i 0.410614 + 0.00711109i
\(533\) −2.85304e8 −1.88420
\(534\) −6.43371e6 1.13444e6i −0.0422511 0.00745001i
\(535\) 4.94995e7 5.89912e7i 0.323251 0.385235i
\(536\) 3.22204e6 + 1.17273e6i 0.0209236 + 0.00761557i
\(537\) −5.69663e7 + 2.07340e7i −0.367871 + 0.133894i
\(538\) −98375.4 + 82546.8i −0.000631742 + 0.000530094i
\(539\) −9.70166e7 1.68038e8i −0.619555 1.07310i
\(540\) −1.02211e8 5.90118e7i −0.649110 0.374764i
\(541\) −1.68720e7 9.56859e7i −0.106555 0.604305i −0.990588 0.136879i \(-0.956293\pi\)
0.884032 0.467425i \(-0.154818\pi\)
\(542\) −1.03157e7 + 1.81894e6i −0.0647890 + 0.0114241i
\(543\) 1.45331e8 2.51720e8i 0.907734 1.57224i
\(544\) 1.35778e7 7.83915e6i 0.0843398 0.0486936i
\(545\) −5.66829e7 6.75521e7i −0.350157 0.417301i
\(546\) 3.47046e6 + 9.53502e6i 0.0213211 + 0.0585792i
\(547\) 7.61183e6 2.09133e7i 0.0465079 0.127779i −0.914264 0.405118i \(-0.867230\pi\)
0.960772 + 0.277339i \(0.0894525\pi\)
\(548\) 3.58087e7 + 3.00470e7i 0.217594 + 0.182583i
\(549\) 5.75060e7 3.26133e8i 0.347533 1.97096i
\(550\) 1.42283e7i 0.0855196i
\(551\) −998291. + 5.76441e7i −0.00596764 + 0.344588i
\(552\) 4.21072e7 0.250345
\(553\) −3.95000e7 6.96491e6i −0.233572 0.0411851i
\(554\) 1.95544e6 2.33040e6i 0.0115005 0.0137057i
\(555\) −1.04310e7 3.79658e6i −0.0610165 0.0222082i
\(556\) 1.18704e8 4.32047e7i 0.690622 0.251366i
\(557\) −8.74237e7 + 7.33572e7i −0.505899 + 0.424499i −0.859683 0.510828i \(-0.829339\pi\)
0.353784 + 0.935327i \(0.384895\pi\)
\(558\) 2.08286e7 + 3.60761e7i 0.119883 + 0.207643i
\(559\) −2.84167e7 1.64064e7i −0.162682 0.0939243i
\(560\) 6.34869e6 + 3.60052e7i 0.0361510 + 0.205022i
\(561\) 1.85317e8 3.26765e7i 1.04961 0.185075i
\(562\) 7.43939e6 1.28854e7i 0.0419110 0.0725921i
\(563\) 1.03013e8 5.94744e7i 0.577252 0.333277i −0.182789 0.983152i \(-0.558512\pi\)
0.760041 + 0.649876i \(0.225179\pi\)
\(564\) 2.64134e8 + 3.14783e8i 1.47227 + 1.75458i
\(565\) 8.56628e6 + 2.35357e7i 0.0474949 + 0.130491i
\(566\) −1.75821e6 + 4.83065e6i −0.00969666 + 0.0266413i
\(567\) 3.58158e7 + 3.00530e7i 0.196483 + 0.164869i
\(568\) −4.01584e6 + 2.27750e7i −0.0219145 + 0.124283i
\(569\) 5.88976e7i 0.319713i 0.987140 + 0.159857i \(0.0511032\pi\)
−0.987140 + 0.159857i \(0.948897\pi\)
\(570\) −9.43742e6 8.20156e6i −0.0509599 0.0442865i
\(571\) −1.85603e8 −0.996960 −0.498480 0.866901i \(-0.666108\pi\)
−0.498480 + 0.866901i \(0.666108\pi\)
\(572\) −3.13897e8 5.53485e7i −1.67725 0.295745i
\(573\) 7.59218e7 9.04800e7i 0.403555 0.480938i
\(574\) −9.37316e6 3.41155e6i −0.0495622 0.0180392i
\(575\) −1.25584e8 + 4.57089e7i −0.660589 + 0.240435i
\(576\) −2.63576e8 + 2.21166e8i −1.37923 + 1.15731i
\(577\) 1.75871e8 + 3.04618e8i 0.915520 + 1.58573i 0.806138 + 0.591727i \(0.201554\pi\)
0.109382 + 0.994000i \(0.465113\pi\)
\(578\) −1.06875e7 6.17043e6i −0.0553468 0.0319545i
\(579\) −4.48577e7 2.54401e8i −0.231101 1.31064i
\(580\) −3.37764e7 + 5.95568e6i −0.173113 + 0.0305244i
\(581\) 6.51279e7 1.12805e8i 0.332077 0.575174i
\(582\) −3.83536e7 + 2.21435e7i −0.194553 + 0.112325i
\(583\) 2.22004e8 + 2.64574e8i 1.12035 + 1.33518i
\(584\) 6.03007e6 + 1.65675e7i 0.0302750 + 0.0831798i
\(585\) −7.52588e7 + 2.06772e8i −0.375915 + 1.03282i
\(586\) −97765.0 82034.5i −0.000485837 0.000407665i
\(587\) −3.07050e7 + 1.74137e8i −0.151808 + 0.860946i 0.809838 + 0.586653i \(0.199555\pi\)
−0.961646 + 0.274293i \(0.911556\pi\)
\(588\) 2.83780e8i 1.39588i
\(589\) −1.09961e8 3.19209e8i −0.538139 1.56218i
\(590\) −9.70085e6 −0.0472339
\(591\) −7.17315e7 1.26482e7i −0.347494 0.0612726i
\(592\) −9.78499e6 + 1.16613e7i −0.0471623 + 0.0562059i
\(593\) 1.58209e8 + 5.75835e7i 0.758696 + 0.276143i 0.692260 0.721648i \(-0.256615\pi\)
0.0664359 + 0.997791i \(0.478837\pi\)
\(594\) 3.35975e7 1.22285e7i 0.160305 0.0583463i
\(595\) −1.44104e7 + 1.20918e7i −0.0684109 + 0.0574036i
\(596\) 2.00193e7 + 3.46745e7i 0.0945608 + 0.163784i
\(597\) 9.16426e7 + 5.29099e7i 0.430700 + 0.248665i
\(598\) −3.15717e6 1.79052e7i −0.0147637 0.0837289i
\(599\) 2.58792e8 4.56320e7i 1.20412 0.212319i 0.464642 0.885499i \(-0.346183\pi\)
0.739479 + 0.673180i \(0.235072\pi\)
\(600\) −2.08726e7 + 3.61523e7i −0.0966322 + 0.167372i
\(601\) 6.26502e7 3.61711e7i 0.288602 0.166624i −0.348709 0.937231i \(-0.613380\pi\)
0.637311 + 0.770607i \(0.280047\pi\)
\(602\) −737400. 878799.i −0.00337998 0.00402810i
\(603\) −2.01315e7 5.53109e7i −0.0918173 0.252266i
\(604\) −4.51076e7 + 1.23932e8i −0.204710 + 0.562435i
\(605\) 1.07294e8 + 9.00303e7i 0.484517 + 0.406558i
\(606\) 2.73199e6 1.54939e7i 0.0122761 0.0696214i
\(607\) 1.53819e8i 0.687770i −0.939012 0.343885i \(-0.888257\pi\)
0.939012 0.343885i \(-0.111743\pi\)
\(608\) −4.54462e7 + 2.51994e7i −0.202203 + 0.112119i
\(609\) 5.44650e7 0.241138
\(610\) 9.54925e6 + 1.68379e6i 0.0420707 + 0.00741820i
\(611\) 2.28793e8 2.72665e8i 1.00304 1.19538i
\(612\) −1.68436e8 6.13057e7i −0.734819 0.267452i
\(613\) 1.73104e8 6.30045e7i 0.751492 0.273521i 0.0622587 0.998060i \(-0.480170\pi\)
0.689234 + 0.724539i \(0.257947\pi\)
\(614\) −455697. + 382375.i −0.00196866 + 0.00165190i
\(615\) −1.66059e8 2.87622e8i −0.713898 1.23651i
\(616\) −1.93600e7 1.11775e7i −0.0828253 0.0478192i
\(617\) 2.26506e7 + 1.28458e8i 0.0964326 + 0.546896i 0.994299 + 0.106628i \(0.0340055\pi\)
−0.897866 + 0.440268i \(0.854883\pi\)
\(618\) 3.49966e7 6.17084e6i 0.148272 0.0261444i
\(619\) −1.40295e8 + 2.42998e8i −0.591520 + 1.02454i 0.402508 + 0.915417i \(0.368139\pi\)
−0.994028 + 0.109126i \(0.965195\pi\)
\(620\) 1.73939e8 1.00424e8i 0.729832 0.421369i
\(621\) −2.15866e8 2.57259e8i −0.901383 1.07423i
\(622\) 1.73422e6 + 4.76474e6i 0.00720666 + 0.0198001i
\(623\) 1.11423e7 3.06132e7i 0.0460798 0.126603i
\(624\) 3.54922e8 + 2.97815e8i 1.46076 + 1.22572i
\(625\) 1.18441e7 6.71713e7i 0.0485135 0.275134i
\(626\) 1.70604e7i 0.0695449i
\(627\) −6.16010e8 + 9.76529e7i −2.49911 + 0.396171i
\(628\) 2.77045e8 1.11859
\(629\) −7.71353e6 1.36010e6i −0.0309957 0.00546537i
\(630\) −4.94499e6 + 5.89321e6i −0.0197763 + 0.0235684i
\(631\) 5.11373e7 + 1.86125e7i 0.203540 + 0.0740825i 0.441778 0.897124i \(-0.354348\pi\)
−0.238238 + 0.971207i \(0.576570\pi\)
\(632\) 2.10950e7 7.67795e6i 0.0835658 0.0304155i
\(633\) −5.08700e8 + 4.26850e8i −2.00563 + 1.68292i
\(634\) −3.79460e6 6.57243e6i −0.0148901 0.0257904i
\(635\) −1.39110e8 8.03152e7i −0.543297 0.313672i
\(636\) −8.77138e7 4.97450e8i −0.340955 1.93365i
\(637\) 2.42075e8 4.26844e7i 0.936552 0.165139i
\(638\) 5.19498e6 8.99797e6i 0.0200042 0.0346483i
\(639\) 3.43808e8 1.98498e8i 1.31769 0.760770i
\(640\) −2.64675e7 3.15427e7i −0.100966 0.120326i
\(641\) −9.80838e7 2.69483e8i −0.372412 1.02319i −0.974426 0.224708i \(-0.927857\pi\)
0.602015 0.798485i \(-0.294365\pi\)
\(642\) 1.16692e7 3.20610e7i 0.0440999 0.121163i
\(643\) −3.41196e8 2.86298e8i −1.28343 1.07692i −0.992762 0.120098i \(-0.961679\pi\)
−0.290665 0.956825i \(-0.593877\pi\)
\(644\) −1.81758e7 + 1.03080e8i −0.0680512 + 0.385937i
\(645\) 3.81968e7i 0.142347i
\(646\) −7.56282e6 4.54279e6i −0.0280535 0.0168510i
\(647\) 3.40709e8 1.25797 0.628985 0.777418i \(-0.283471\pi\)
0.628985 + 0.777418i \(0.283471\pi\)
\(648\) −2.57703e7 4.54401e6i −0.0947099 0.0166999i
\(649\) −3.11052e8 + 3.70698e8i −1.13789 + 1.35608i
\(650\) 1.69380e7 + 6.16493e6i 0.0616769 + 0.0224485i
\(651\) −2.99716e8 + 1.09088e8i −1.08634 + 0.395396i
\(652\) 5.15524e7 4.32576e7i 0.185997 0.156070i
\(653\) 1.92874e8 + 3.34067e8i 0.692682 + 1.19976i 0.970956 + 0.239259i \(0.0769044\pi\)
−0.278274 + 0.960502i \(0.589762\pi\)
\(654\) −3.38355e7 1.95350e7i −0.120959 0.0698360i
\(655\) 3.82347e7 + 2.16840e8i 0.136061 + 0.771640i
\(656\) −4.48533e8 + 7.90886e7i −1.58885 + 0.280157i
\(657\) 1.51328e8 2.62108e8i 0.533610 0.924240i
\(658\) 1.07770e7 6.22211e6i 0.0378286 0.0218404i
\(659\) 2.52687e7 + 3.01141e7i 0.0882932 + 0.105224i 0.808382 0.588658i \(-0.200343\pi\)
−0.720089 + 0.693882i \(0.755899\pi\)
\(660\) −1.26903e8 3.48662e8i −0.441407 1.21275i
\(661\) 2.31952e7 6.37282e7i 0.0803143 0.220662i −0.893036 0.449985i \(-0.851429\pi\)
0.973350 + 0.229324i \(0.0736514\pi\)
\(662\) −1.35380e7 1.13597e7i −0.0466637 0.0391555i
\(663\) −4.13960e7 + 2.34768e8i −0.142042 + 0.805561i
\(664\) 7.29030e7i 0.249024i
\(665\) 4.84495e7 3.92446e7i 0.164750 0.133449i
\(666\) −3.20315e6 −0.0108431
\(667\) −9.61082e7 1.69465e7i −0.323879 0.0571086i
\(668\) 1.71973e8 2.04949e8i 0.576939 0.687569i
\(669\) 1.21823e8 + 4.43401e7i 0.406867 + 0.148087i
\(670\) 1.61952e6 589456.i 0.00538469 0.00195987i
\(671\) 3.70533e8 3.10915e8i 1.22648 1.02914i
\(672\) 2.45459e7 + 4.25147e7i 0.0808856 + 0.140098i
\(673\) 2.52064e8 + 1.45529e8i 0.826925 + 0.477425i 0.852799 0.522240i \(-0.174903\pi\)
−0.0258737 + 0.999665i \(0.508237\pi\)
\(674\) −144391. 818882.i −0.000471586 0.00267449i
\(675\) 3.27882e8 5.78144e7i 1.06612 0.187986i
\(676\) 4.83706e7 8.37804e7i 0.156582 0.271208i
\(677\) 1.19104e8 6.87647e7i 0.383849 0.221615i −0.295643 0.955299i \(-0.595534\pi\)
0.679492 + 0.733683i \(0.262200\pi\)
\(678\) 7.13290e6 + 8.50065e6i 0.0228864 + 0.0272749i
\(679\) −7.55336e7 2.07527e8i −0.241285 0.662926i
\(680\) 3.60099e6 9.89365e6i 0.0114524 0.0314652i
\(681\) −2.38348e8 1.99998e8i −0.754693 0.633263i
\(682\) −1.05655e7 + 5.99199e7i −0.0333071 + 0.188894i
\(683\) 1.89045e8i 0.593338i −0.954980 0.296669i \(-0.904124\pi\)
0.954980 0.296669i \(-0.0958758\pi\)
\(684\) 5.54672e8 + 2.12832e8i 1.73328 + 0.665070i
\(685\) 4.71341e7 0.146644
\(686\) 1.86689e7 + 3.29183e6i 0.0578291 + 0.0101968i
\(687\) −4.49799e8 + 5.36049e8i −1.38723 + 1.65323i
\(688\) −4.92226e7 1.79156e7i −0.151147 0.0550130i
\(689\) −4.11151e8 + 1.49647e8i −1.25702 + 0.457519i
\(690\) 1.62131e7 1.36044e7i 0.0493535 0.0414125i
\(691\) 7.49788e7 + 1.29867e8i 0.227250 + 0.393609i 0.956992 0.290114i \(-0.0936931\pi\)
−0.729742 + 0.683723i \(0.760360\pi\)
\(692\) −1.70411e8 9.83870e7i −0.514257 0.296906i
\(693\) 6.66383e7 + 3.77925e8i 0.200228 + 1.13555i
\(694\) −4.69897e7 + 8.28556e6i −0.140580 + 0.0247881i
\(695\) 6.36869e7 1.10309e8i 0.189712 0.328591i
\(696\) −2.63995e7 + 1.52418e7i −0.0783012 + 0.0452072i
\(697\) −1.50633e8 1.79517e8i −0.444858 0.530161i
\(698\) 154710. + 425062.i 0.000454937 + 0.00124993i
\(699\) −8.49609e7 + 2.33428e8i −0.248764 + 0.683474i
\(700\) −7.94925e7 6.67021e7i −0.231757 0.194467i
\(701\) −5.25527e7 + 2.98041e8i −0.152560 + 0.865211i 0.808423 + 0.588602i \(0.200322\pi\)
−0.960983 + 0.276608i \(0.910789\pi\)
\(702\) 4.52943e7i 0.130928i
\(703\) 2.54843e7 + 4.95002e6i 0.0733510 + 0.0142476i
\(704\) −5.02553e8 −1.44034
\(705\) 4.08047e8 + 7.19497e7i 1.16451 + 0.205334i
\(706\) 5.26229e6 6.27135e6i 0.0149541 0.0178216i
\(707\) 7.37239e7 + 2.68333e7i 0.208617 + 0.0759305i
\(708\) 6.65054e8 2.42060e8i 1.87395 0.682060i
\(709\) −2.35126e8 + 1.97294e8i −0.659725 + 0.553575i −0.910004 0.414599i \(-0.863922\pi\)
0.250280 + 0.968174i \(0.419477\pi\)
\(710\) 5.81207e6 + 1.00668e7i 0.0162389 + 0.0281265i
\(711\) −3.33737e8 1.92683e8i −0.928528 0.536086i
\(712\) 3.16623e6 + 1.79566e7i 0.00877207 + 0.0497489i
\(713\) 5.62816e8 9.92397e7i 1.55274 0.273790i
\(714\) −4.16726e6 + 7.21790e6i −0.0114487 + 0.0198297i
\(715\) −2.78335e8 + 1.60697e8i −0.761463 + 0.439631i
\(716\) 5.42144e7 + 6.46102e7i 0.147698 + 0.176020i
\(717\) 3.07772e8 + 8.45596e8i 0.834971 + 2.29406i
\(718\) 1.12035e7 3.07814e7i 0.0302678 0.0831602i
\(719\) 1.99372e8 + 1.67293e8i 0.536386 + 0.450081i 0.870300 0.492522i \(-0.163925\pi\)
−0.333914 + 0.942604i \(0.608369\pi\)
\(720\) −6.09975e7 + 3.45934e8i −0.163423 + 0.926820i
\(721\) 1.77210e8i 0.472805i
\(722\) 2.48022e7 + 1.54887e7i 0.0658989 + 0.0411531i
\(723\) 3.47680e8 0.919950
\(724\) −3.98248e8 7.02220e7i −1.04939 0.185036i
\(725\) 6.21907e7 7.41160e7i 0.163197 0.194490i
\(726\) 5.83129e7 + 2.12241e7i 0.152389 + 0.0554652i
\(727\) −9.93735e7 + 3.61690e7i −0.258623 + 0.0941311i −0.468078 0.883687i \(-0.655053\pi\)
0.209455 + 0.977818i \(0.432831\pi\)
\(728\) 2.16946e7 1.82039e7i 0.0562286 0.0471814i
\(729\) −2.57454e8 4.45924e8i −0.664534 1.15101i
\(730\) 7.67460e6 + 4.43093e6i 0.0197282 + 0.0113901i
\(731\) −4.68013e6 2.65423e7i −0.0119813 0.0679496i
\(732\) −6.96675e8 + 1.22843e8i −1.77622 + 0.313196i
\(733\) −7.20608e7 + 1.24813e8i −0.182973 + 0.316919i −0.942892 0.333100i \(-0.891905\pi\)
0.759919 + 0.650018i \(0.225239\pi\)
\(734\) 1.94236e7 1.12142e7i 0.0491180 0.0283583i
\(735\) 1.83929e8 + 2.19198e8i 0.463221 + 0.552045i
\(736\) −3.00852e7 8.26583e7i −0.0754603 0.207326i
\(737\) 2.94040e7 8.07869e7i 0.0734522 0.201808i
\(738\) −7.34145e7 6.16021e7i −0.182647 0.153259i
\(739\) 1.36676e8 7.75127e8i 0.338656 1.92061i −0.0489803 0.998800i \(-0.515597\pi\)
0.387636 0.921812i \(-0.373292\pi\)
\(740\) 1.54438e7i 0.0381119i
\(741\) 1.50658e8 7.75637e8i 0.370287 1.90636i
\(742\) −1.52971e7 −0.0374452
\(743\) 3.17161e8 + 5.59240e7i 0.773237 + 0.136343i 0.546326 0.837573i \(-0.316026\pi\)
0.226911 + 0.973915i \(0.427137\pi\)
\(744\) 1.14746e8 1.36750e8i 0.278625 0.332053i
\(745\) 3.79373e7 + 1.38081e7i 0.0917483 + 0.0333937i
\(746\) −5.53335e7 + 2.01397e7i −0.133282 + 0.0485107i
\(747\) 9.58691e8 8.04438e8i 2.29994 1.92988i
\(748\) −1.30903e8 2.26731e8i −0.312784 0.541758i
\(749\) 1.47345e8 + 8.50696e7i 0.350663 + 0.202455i
\(750\) 8.58956e6 + 4.87138e7i 0.0203604 + 0.115470i
\(751\) −4.78714e8 + 8.44102e7i −1.13020 + 0.199285i −0.707316 0.706898i \(-0.750094\pi\)
−0.422886 + 0.906183i \(0.638983\pi\)
\(752\) 2.84106e8 4.92086e8i 0.668078 1.15715i
\(753\) −1.15147e9 + 6.64799e8i −2.69691 + 1.55706i
\(754\) 8.46066e6 + 1.00830e7i 0.0197374 + 0.0235221i
\(755\) 4.54831e7 + 1.24964e8i 0.105684 + 0.290365i
\(756\) 8.91849e7 2.45034e8i 0.206408 0.567101i
\(757\) 3.31624e8 + 2.78266e8i 0.764467 + 0.641464i 0.939286 0.343136i \(-0.111489\pi\)
−0.174818 + 0.984601i \(0.555934\pi\)
\(758\) −501848. + 2.84612e6i −0.00115230 + 0.00653501i
\(759\) 1.05576e9i 2.41458i
\(760\) −1.25014e7 + 3.25805e7i −0.0284785 + 0.0742193i
\(761\) −6.78412e8 −1.53936 −0.769679 0.638431i \(-0.779584\pi\)
−0.769679 + 0.638431i \(0.779584\pi\)
\(762\) −7.00869e7 1.23582e7i −0.158406 0.0279313i
\(763\) 1.25234e8 1.49248e8i 0.281935 0.335997i
\(764\) −1.54419e8 5.62038e7i −0.346274