Properties

Label 29.9.f.a.2.19
Level $29$
Weight $9$
Character 29.2
Analytic conductor $11.814$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(11.8139796918\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(19\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 2.19
Character \(\chi\) \(=\) 29.2
Dual form 29.9.f.a.15.19

$q$-expansion

\(f(q)\) \(=\) \(q+(29.9840 + 3.37838i) q^{2} +(11.3862 + 7.15440i) q^{3} +(638.043 + 145.629i) q^{4} +(-500.927 + 399.476i) q^{5} +(317.232 + 252.984i) q^{6} +(838.383 + 3673.20i) q^{7} +(11348.1 + 3970.86i) q^{8} +(-2768.25 - 5748.33i) q^{9} +O(q^{10})\) \(q+(29.9840 + 3.37838i) q^{2} +(11.3862 + 7.15440i) q^{3} +(638.043 + 145.629i) q^{4} +(-500.927 + 399.476i) q^{5} +(317.232 + 252.984i) q^{6} +(838.383 + 3673.20i) q^{7} +(11348.1 + 3970.86i) q^{8} +(-2768.25 - 5748.33i) q^{9} +(-16369.4 + 10285.5i) q^{10} +(13317.0 - 4659.83i) q^{11} +(6222.97 + 6222.97i) q^{12} +(14877.4 - 30893.2i) q^{13} +(12728.6 + 112969. i) q^{14} +(-8561.64 + 964.666i) q^{15} +(175897. + 84707.6i) q^{16} +(-13167.6 + 13167.6i) q^{17} +(-63583.1 - 181710. i) q^{18} +(-122185. - 194457. i) q^{19} +(-377788. + 181933. i) q^{20} +(-16733.5 + 47821.7i) q^{21} +(415040. - 94730.2i) q^{22} +(-132959. + 166725. i) q^{23} +(100802. + 126401. i) q^{24} +(4424.54 - 19385.2i) q^{25} +(550451. - 876038. i) q^{26} +(19484.5 - 172930. i) q^{27} +2.46575e6i q^{28} +(703196. - 75909.6i) q^{29} -259971. q^{30} +(-941790. - 106114. i) q^{31} +(2.38185e6 + 1.49661e6i) q^{32} +(184968. + 42217.8i) q^{33} +(-439302. + 350332. i) q^{34} +(-1.88732e6 - 1.50509e6i) q^{35} +(-929139. - 4.07082e6i) q^{36} +(1.65611e6 + 579499. i) q^{37} +(-3.00665e6 - 6.24337e6i) q^{38} +(390418. - 245316. i) q^{39} +(-7.27082e6 + 2.54417e6i) q^{40} +(-775813. - 775813. i) q^{41} +(-663298. + 1.37735e6i) q^{42} +(-216287. - 1.91960e6i) q^{43} +(9.17545e6 - 1.03383e6i) q^{44} +(3.68301e6 + 1.77365e6i) q^{45} +(-4.54989e6 + 4.54989e6i) q^{46} +(-973692. - 2.78265e6i) q^{47} +(1.39676e6 + 2.22293e6i) q^{48} +(-7.59558e6 + 3.65784e6i) q^{49} +(198156. - 566297. i) q^{50} +(-244135. + 55722.1i) q^{51} +(1.39913e7 - 1.75446e7i) q^{52} +(-5.05866e6 - 6.34336e6i) q^{53} +(1.16844e6 - 5.11929e6i) q^{54} +(-4.80937e6 + 7.65407e6i) q^{55} +(-5.07172e6 + 4.50128e7i) q^{56} -3.08828e6i q^{57} +(2.13410e7 + 99591.1i) q^{58} +8.50967e6 q^{59} +(-5.60318e6 - 631327. i) q^{60} +(1.53473e7 + 9.64333e6i) q^{61} +(-2.78801e7 - 6.36345e6i) q^{62} +(1.87939e7 - 1.49876e7i) q^{63} +(2.72859e7 + 2.17597e7i) q^{64} +(4.88860e6 + 2.14184e7i) q^{65} +(5.40345e6 + 1.89075e6i) q^{66} +(9.88877e6 + 2.05342e7i) q^{67} +(-1.03191e7 + 6.48391e6i) q^{68} +(-2.70671e6 + 947118. i) q^{69} +(-5.15046e7 - 5.15046e7i) q^{70} +(-1.23497e7 + 2.56444e7i) q^{71} +(-8.58848e6 - 7.62248e7i) q^{72} +(-1.06709e7 + 1.20232e6i) q^{73} +(4.76991e7 + 2.29707e7i) q^{74} +(189068. - 189068. i) q^{75} +(-4.96409e7 - 1.41865e8i) q^{76} +(2.82813e7 + 4.50094e7i) q^{77} +(1.25351e7 - 6.03657e6i) q^{78} +(-7.58821e6 + 2.16859e7i) q^{79} +(-1.21950e8 + 2.78343e7i) q^{80} +(-2.46404e7 + 3.08981e7i) q^{81} +(-2.06410e7 - 2.58829e7i) q^{82} +(6.00911e6 - 2.63276e7i) q^{83} +(-1.76410e7 + 2.80754e7i) q^{84} +(1.33587e6 - 1.18561e7i) q^{85} -5.82879e7i q^{86} +(8.54979e6 + 4.16662e6i) q^{87} +1.69626e8 q^{88} +(7.87249e6 + 887017. i) q^{89} +(1.04439e8 + 6.56235e7i) q^{90} +(1.25950e8 + 2.87472e7i) q^{91} +(-1.09113e8 + 8.70150e7i) q^{92} +(-9.96419e6 - 7.94617e6i) q^{93} +(-1.97943e7 - 8.67245e7i) q^{94} +(1.38887e8 + 4.85986e7i) q^{95} +(1.64127e7 + 3.40814e7i) q^{96} +(-7.23040e7 + 4.54316e7i) q^{97} +(-2.40103e8 + 8.40157e7i) q^{98} +(-6.36512e7 - 6.36512e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 3664q^{8} - 14q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 3664q^{8} - 14q^{9} - 15884q^{10} + 8376q^{11} - 5036q^{12} - 14q^{13} - 12742q^{14} + 35516q^{15} + 245898q^{16} - 76248q^{17} + 465008q^{18} + 164474q^{19} - 907274q^{20} - 628270q^{21} + 1214962q^{22} + 173408q^{23} + 1858618q^{24} + 43976q^{25} - 4604204q^{26} - 1727586q^{27} + 1079922q^{29} + 8909208q^{30} + 3657848q^{31} + 1160364q^{32} - 4279184q^{33} - 8655374q^{34} - 8269058q^{35} - 3366854q^{36} - 5622890q^{37} + 15536626q^{38} + 16110008q^{39} - 23544696q^{40} - 9561672q^{41} - 14q^{42} + 5181008q^{43} + 51041750q^{44} - 35245194q^{45} - 43159224q^{46} - 12806808q^{47} + 83954488q^{48} + 10429400q^{49} + 80809398q^{50} + 18760882q^{51} - 93050550q^{52} - 30960322q^{53} - 106220916q^{54} - 126174004q^{55} - 40136268q^{56} + 159368354q^{58} + 11188020q^{59} + 255893612q^{60} + 139657128q^{61} + 102501616q^{62} + 9797746q^{63} - 135941792q^{64} - 14207858q^{65} - 447597656q^{66} - 148930894q^{67} - 167094904q^{68} + 66986722q^{69} + 586255934q^{70} - 15272096q^{71} + 41230600q^{72} - 219415072q^{73} - 347464696q^{74} + 391507416q^{75} + 271512490q^{76} + 240416780q^{77} + 141747906q^{78} + 112667220q^{79} - 375642638q^{80} - 358099268q^{81} - 262154910q^{82} - 109463350q^{83} - 694921012q^{84} - 356627386q^{85} + 199703522q^{87} + 251202768q^{88} + 839849154q^{89} + 675826020q^{90} + 533256766q^{91} + 742339570q^{92} + 78998570q^{93} - 209116610q^{94} - 633414122q^{95} - 431412576q^{96} - 402046736q^{97} - 2192087384q^{98} - 1966368188q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 29.9840 + 3.37838i 1.87400 + 0.211149i 0.974283 0.225329i \(-0.0723458\pi\)
0.899715 + 0.436478i \(0.143774\pi\)
\(3\) 11.3862 + 7.15440i 0.140570 + 0.0883259i 0.600481 0.799639i \(-0.294976\pi\)
−0.459911 + 0.887965i \(0.652119\pi\)
\(4\) 638.043 + 145.629i 2.49235 + 0.568864i
\(5\) −500.927 + 399.476i −0.801483 + 0.639161i −0.936099 0.351736i \(-0.885591\pi\)
0.134616 + 0.990898i \(0.457020\pi\)
\(6\) 317.232 + 252.984i 0.244778 + 0.195204i
\(7\) 838.383 + 3673.20i 0.349181 + 1.52986i 0.779045 + 0.626968i \(0.215704\pi\)
−0.429864 + 0.902893i \(0.641439\pi\)
\(8\) 11348.1 + 3970.86i 2.77052 + 0.969448i
\(9\) −2768.25 5748.33i −0.421925 0.876137i
\(10\) −16369.4 + 10285.5i −1.63694 + 1.02855i
\(11\) 13317.0 4659.83i 0.909572 0.318273i 0.165373 0.986231i \(-0.447117\pi\)
0.744199 + 0.667958i \(0.232831\pi\)
\(12\) 6222.97 + 6222.97i 0.300105 + 0.300105i
\(13\) 14877.4 30893.2i 0.520898 1.08166i −0.460141 0.887846i \(-0.652201\pi\)
0.981039 0.193810i \(-0.0620846\pi\)
\(14\) 12728.6 + 112969.i 0.331336 + 2.94069i
\(15\) −8561.64 + 964.666i −0.169119 + 0.0190551i
\(16\) 175897. + 84707.6i 2.68398 + 1.29253i
\(17\) −13167.6 + 13167.6i −0.157656 + 0.157656i −0.781527 0.623871i \(-0.785559\pi\)
0.623871 + 0.781527i \(0.285559\pi\)
\(18\) −63583.1 181710.i −0.605692 1.73097i
\(19\) −122185. 194457.i −0.937572 1.49214i −0.869190 0.494478i \(-0.835359\pi\)
−0.0683813 0.997659i \(-0.521783\pi\)
\(20\) −377788. + 181933.i −2.36118 + 1.13708i
\(21\) −16733.5 + 47821.7i −0.0860421 + 0.245894i
\(22\) 415040. 94730.2i 1.77174 0.404388i
\(23\) −132959. + 166725.i −0.475122 + 0.595785i −0.960417 0.278566i \(-0.910141\pi\)
0.485295 + 0.874351i \(0.338712\pi\)
\(24\) 100802. + 126401.i 0.303825 + 0.380984i
\(25\) 4424.54 19385.2i 0.0113268 0.0496261i
\(26\) 550451. 876038.i 1.20455 1.91703i
\(27\) 19484.5 172930.i 0.0366635 0.325398i
\(28\) 2.46575e6i 4.01159i
\(29\) 703196. 75909.6i 0.994224 0.107326i
\(30\) −259971. −0.320952
\(31\) −941790. 106114.i −1.01978 0.114902i −0.413790 0.910373i \(-0.635795\pi\)
−0.605992 + 0.795471i \(0.707224\pi\)
\(32\) 2.38185e6 + 1.49661e6i 2.27151 + 1.42728i
\(33\) 184968. + 42217.8i 0.155970 + 0.0355992i
\(34\) −439302. + 350332.i −0.328736 + 0.262158i
\(35\) −1.88732e6 1.50509e6i −1.25769 1.00297i
\(36\) −929139. 4.07082e6i −0.553185 2.42366i
\(37\) 1.65611e6 + 579499.i 0.883656 + 0.309205i 0.733688 0.679486i \(-0.237797\pi\)
0.149968 + 0.988691i \(0.452083\pi\)
\(38\) −3.00665e6 6.24337e6i −1.44194 2.99423i
\(39\) 390418. 245316.i 0.168761 0.106039i
\(40\) −7.27082e6 + 2.54417e6i −2.84016 + 0.993816i
\(41\) −775813. 775813.i −0.274550 0.274550i 0.556379 0.830929i \(-0.312190\pi\)
−0.830929 + 0.556379i \(0.812190\pi\)
\(42\) −663298. + 1.37735e6i −0.213163 + 0.442637i
\(43\) −216287. 1.91960e6i −0.0632640 0.561483i −0.984862 0.173338i \(-0.944545\pi\)
0.921598 0.388145i \(-0.126884\pi\)
\(44\) 9.17545e6 1.03383e6i 2.44803 0.275827i
\(45\) 3.68301e6 + 1.77365e6i 0.898159 + 0.432531i
\(46\) −4.54989e6 + 4.54989e6i −1.01618 + 1.01618i
\(47\) −973692. 2.78265e6i −0.199540 0.570253i 0.800018 0.599976i \(-0.204823\pi\)
−0.999558 + 0.0297229i \(0.990538\pi\)
\(48\) 1.39676e6 + 2.22293e6i 0.263122 + 0.418756i
\(49\) −7.59558e6 + 3.65784e6i −1.31758 + 0.634513i
\(50\) 198156. 566297.i 0.0317049 0.0906075i
\(51\) −244135. + 55722.1i −0.0360868 + 0.00823658i
\(52\) 1.39913e7 1.75446e7i 1.91358 2.39955i
\(53\) −5.05866e6 6.34336e6i −0.641109 0.803925i 0.350032 0.936738i \(-0.386171\pi\)
−0.991141 + 0.132812i \(0.957599\pi\)
\(54\) 1.16844e6 5.11929e6i 0.137415 0.602053i
\(55\) −4.80937e6 + 7.65407e6i −0.525579 + 0.836454i
\(56\) −5.07172e6 + 4.50128e7i −0.515708 + 4.57703i
\(57\) 3.08828e6i 0.292561i
\(58\) 2.13410e7 + 99591.1i 1.88583 + 0.00880053i
\(59\) 8.50967e6 0.702271 0.351136 0.936325i \(-0.385796\pi\)
0.351136 + 0.936325i \(0.385796\pi\)
\(60\) −5.60318e6 631327.i −0.432344 0.0487135i
\(61\) 1.53473e7 + 9.64333e6i 1.10844 + 0.696478i 0.956448 0.291903i \(-0.0942886\pi\)
0.151991 + 0.988382i \(0.451431\pi\)
\(62\) −2.78801e7 6.36345e6i −1.88681 0.430651i
\(63\) 1.87939e7 1.49876e7i 1.19304 0.951417i
\(64\) 2.72859e7 + 2.17597e7i 1.62636 + 1.29698i
\(65\) 4.88860e6 + 2.14184e7i 0.273862 + 1.19987i
\(66\) 5.40345e6 + 1.89075e6i 0.284771 + 0.0996457i
\(67\) 9.88877e6 + 2.05342e7i 0.490731 + 1.01901i 0.988432 + 0.151664i \(0.0484632\pi\)
−0.497701 + 0.867348i \(0.665822\pi\)
\(68\) −1.03191e7 + 6.48391e6i −0.482620 + 0.303250i
\(69\) −2.70671e6 + 947118.i −0.119411 + 0.0417838i
\(70\) −5.15046e7 5.15046e7i −2.14513 2.14513i
\(71\) −1.23497e7 + 2.56444e7i −0.485984 + 1.00916i 0.503430 + 0.864036i \(0.332071\pi\)
−0.989414 + 0.145120i \(0.953643\pi\)
\(72\) −8.58848e6 7.62248e7i −0.319585 2.83639i
\(73\) −1.06709e7 + 1.20232e6i −0.375759 + 0.0423379i −0.297825 0.954621i \(-0.596261\pi\)
−0.0779346 + 0.996958i \(0.524833\pi\)
\(74\) 4.76991e7 + 2.29707e7i 1.59068 + 0.766031i
\(75\) 189068. 189068.i 0.00597548 0.00597548i
\(76\) −4.96409e7 1.41865e8i −1.48794 4.25229i
\(77\) 2.82813e7 + 4.50094e7i 0.804518 + 1.28038i
\(78\) 1.25351e7 6.03657e6i 0.338648 0.163084i
\(79\) −7.58821e6 + 2.16859e7i −0.194819 + 0.556761i −0.999308 0.0372075i \(-0.988154\pi\)
0.804489 + 0.593968i \(0.202439\pi\)
\(80\) −1.21950e8 + 2.78343e7i −2.97730 + 0.679549i
\(81\) −2.46404e7 + 3.08981e7i −0.572411 + 0.717780i
\(82\) −2.06410e7 2.58829e7i −0.456535 0.572477i
\(83\) 6.00911e6 2.63276e7i 0.126619 0.554753i −0.871328 0.490701i \(-0.836741\pi\)
0.997947 0.0640514i \(-0.0204022\pi\)
\(84\) −1.76410e7 + 2.80754e7i −0.354328 + 0.563909i
\(85\) 1.33587e6 1.18561e7i 0.0255910 0.227126i
\(86\) 5.82879e7i 1.06558i
\(87\) 8.54979e6 + 4.16662e6i 0.149238 + 0.0727289i
\(88\) 1.69626e8 2.82854
\(89\) 7.87249e6 + 887017.i 0.125474 + 0.0141375i 0.174478 0.984661i \(-0.444176\pi\)
−0.0490043 + 0.998799i \(0.515605\pi\)
\(90\) 1.04439e8 + 6.56235e7i 1.59182 + 1.00021i
\(91\) 1.25950e8 + 2.87472e7i 1.83667 + 0.419208i
\(92\) −1.09113e8 + 8.70150e7i −1.52309 + 1.21463i
\(93\) −9.96419e6 7.94617e6i −0.133202 0.106225i
\(94\) −1.97943e7 8.67245e7i −0.253530 1.11079i
\(95\) 1.38887e8 + 4.85986e7i 1.70516 + 0.596663i
\(96\) 1.64127e7 + 3.40814e7i 0.193240 + 0.401266i
\(97\) −7.23040e7 + 4.54316e7i −0.816724 + 0.513182i −0.874430 0.485152i \(-0.838764\pi\)
0.0577056 + 0.998334i \(0.481622\pi\)
\(98\) −2.40103e8 + 8.40157e7i −2.60312 + 0.910870i
\(99\) −6.36512e7 6.36512e7i −0.662622 0.662622i
\(100\) 5.64610e6 1.17242e7i 0.0564610 0.117242i
\(101\) 2.82347e6 + 2.50590e7i 0.0271330 + 0.240812i 0.999957 + 0.00926648i \(0.00294966\pi\)
−0.972824 + 0.231546i \(0.925622\pi\)
\(102\) −7.50837e6 + 845991.i −0.0693658 + 0.00781565i
\(103\) −8.97954e7 4.32432e7i −0.797821 0.384210i −0.00987209 0.999951i \(-0.503142\pi\)
−0.787949 + 0.615741i \(0.788857\pi\)
\(104\) 2.91502e8 2.91502e8i 2.49177 2.49177i
\(105\) −1.07213e7 3.06398e7i −0.0882048 0.252075i
\(106\) −1.30248e8 2.07289e8i −1.03169 1.64192i
\(107\) −1.50885e8 + 7.26624e7i −1.15109 + 0.554338i −0.909362 0.416005i \(-0.863430\pi\)
−0.241732 + 0.970343i \(0.577715\pi\)
\(108\) 3.76155e7 1.07499e8i 0.276485 0.790150i
\(109\) 1.57186e8 3.58768e7i 1.11355 0.254160i 0.374110 0.927384i \(-0.377948\pi\)
0.739439 + 0.673224i \(0.235091\pi\)
\(110\) −1.70062e8 + 2.13252e8i −1.16155 + 1.45654i
\(111\) 1.47108e7 + 1.84468e7i 0.0969046 + 0.121515i
\(112\) −1.63678e8 + 7.17122e8i −1.04021 + 4.55744i
\(113\) 7.94589e7 1.26458e8i 0.487336 0.775591i −0.509032 0.860748i \(-0.669996\pi\)
0.996368 + 0.0851571i \(0.0271392\pi\)
\(114\) 1.04334e7 9.25988e7i 0.0617740 0.548259i
\(115\) 1.36631e8i 0.781191i
\(116\) 4.59724e8 + 5.39722e7i 2.53901 + 0.298083i
\(117\) −2.18769e8 −1.16746
\(118\) 2.55154e8 + 2.87489e7i 1.31605 + 0.148284i
\(119\) −5.94067e7 3.73277e7i −0.296243 0.186142i
\(120\) −1.00989e8 2.30500e7i −0.487021 0.111159i
\(121\) −1.19630e7 + 9.54016e6i −0.0558082 + 0.0445055i
\(122\) 4.27593e8 + 3.40994e8i 1.93015 + 1.53924i
\(123\) −3.28306e6 1.43840e7i −0.0143436 0.0628434i
\(124\) −5.85449e8 2.04857e8i −2.47629 0.866493i
\(125\) −1.03064e8 2.14014e8i −0.422149 0.876601i
\(126\) 6.14150e8 3.85896e8i 2.43664 1.53104i
\(127\) −3.81607e8 + 1.33530e8i −1.46690 + 0.513292i −0.941339 0.337463i \(-0.890431\pi\)
−0.525564 + 0.850754i \(0.676146\pi\)
\(128\) 2.35415e8 + 2.35415e8i 0.876990 + 0.876990i
\(129\) 1.12709e7 2.34043e7i 0.0407005 0.0845155i
\(130\) 7.42203e7 + 6.58723e8i 0.259866 + 2.30637i
\(131\) −2.28425e8 + 2.57373e7i −0.775637 + 0.0873933i −0.490904 0.871214i \(-0.663333\pi\)
−0.284733 + 0.958607i \(0.591905\pi\)
\(132\) 1.11870e8 + 5.38735e7i 0.368482 + 0.177452i
\(133\) 6.11840e8 6.11840e8i 1.95538 1.95538i
\(134\) 2.27132e8 + 6.49106e8i 0.704465 + 2.01324i
\(135\) 5.93209e7 + 9.44087e7i 0.178596 + 0.284235i
\(136\) −2.01714e8 + 9.71401e7i −0.589630 + 0.283951i
\(137\) 4.39480e7 1.25596e8i 0.124755 0.356529i −0.864519 0.502600i \(-0.832377\pi\)
0.989274 + 0.146071i \(0.0466628\pi\)
\(138\) −8.43575e7 + 1.92541e7i −0.232599 + 0.0530892i
\(139\) −3.28100e8 + 4.11424e8i −0.878914 + 1.10212i 0.115152 + 0.993348i \(0.463264\pi\)
−0.994066 + 0.108776i \(0.965307\pi\)
\(140\) −9.85008e8 1.23516e9i −2.56406 3.21522i
\(141\) 8.82159e6 3.86499e7i 0.0223188 0.0977850i
\(142\) −4.56928e8 + 7.27197e8i −1.12381 + 1.78854i
\(143\) 5.41655e7 4.80732e8i 0.129532 1.14963i
\(144\) 1.24561e9i 2.89688i
\(145\) −3.21926e8 + 3.18935e8i −0.728255 + 0.721489i
\(146\) −3.24018e8 −0.713112
\(147\) −1.12654e8 1.26931e7i −0.241256 0.0271830i
\(148\) 9.72279e8 + 6.10924e8i 2.02649 + 1.27333i
\(149\) 4.24310e8 + 9.68459e7i 0.860871 + 0.196488i 0.630094 0.776519i \(-0.283016\pi\)
0.230776 + 0.973007i \(0.425873\pi\)
\(150\) 6.30775e6 5.03026e6i 0.0124598 0.00993632i
\(151\) 6.95546e8 + 5.54679e8i 1.33788 + 1.06693i 0.991675 + 0.128768i \(0.0411022\pi\)
0.346208 + 0.938158i \(0.387469\pi\)
\(152\) −6.14406e8 2.69189e9i −1.15102 5.04293i
\(153\) 1.12143e8 + 3.92405e7i 0.204647 + 0.0716093i
\(154\) 6.95926e8 + 1.44510e9i 1.23731 + 2.56931i
\(155\) 5.14158e8 3.23067e8i 0.890778 0.559713i
\(156\) 2.84829e8 9.96659e7i 0.480934 0.168286i
\(157\) −3.54436e8 3.54436e8i −0.583364 0.583364i 0.352462 0.935826i \(-0.385344\pi\)
−0.935826 + 0.352462i \(0.885344\pi\)
\(158\) −3.00788e8 + 6.24592e8i −0.482650 + 1.00223i
\(159\) −1.22158e7 1.08418e8i −0.0191132 0.169634i
\(160\) −1.79099e9 + 2.01797e8i −2.73284 + 0.307917i
\(161\) −7.23884e8 3.48604e8i −1.07737 0.518835i
\(162\) −8.43202e8 + 8.43202e8i −1.22425 + 1.22425i
\(163\) −2.24264e8 6.40910e8i −0.317694 0.907918i −0.986396 0.164387i \(-0.947435\pi\)
0.668702 0.743531i \(-0.266850\pi\)
\(164\) −3.82021e8 6.07983e8i −0.528095 0.840458i
\(165\) −1.09521e8 + 5.27423e7i −0.147761 + 0.0711580i
\(166\) 2.69122e8 7.69105e8i 0.354418 1.01287i
\(167\) 1.00010e9 2.28266e8i 1.28581 0.293478i 0.475623 0.879649i \(-0.342223\pi\)
0.810187 + 0.586171i \(0.199365\pi\)
\(168\) −3.79787e8 + 4.76238e8i −0.476763 + 0.597842i
\(169\) −2.24453e8 2.81455e8i −0.275155 0.345034i
\(170\) 8.01091e7 3.50981e8i 0.0959150 0.420231i
\(171\) −7.79563e8 + 1.24067e9i −0.911731 + 1.45101i
\(172\) 1.41549e8 1.25628e9i 0.161731 1.43540i
\(173\) 8.23260e8i 0.919079i 0.888157 + 0.459539i \(0.151986\pi\)
−0.888157 + 0.459539i \(0.848014\pi\)
\(174\) 2.42280e8 + 1.53816e8i 0.264314 + 0.167805i
\(175\) 7.49151e7 0.0798762
\(176\) 2.73715e9 + 3.08403e8i 2.85265 + 0.321416i
\(177\) 9.68925e7 + 6.08816e7i 0.0987182 + 0.0620287i
\(178\) 2.33052e8 + 5.31926e7i 0.232152 + 0.0529872i
\(179\) −1.74582e8 + 1.39224e8i −0.170054 + 0.135613i −0.704819 0.709388i \(-0.748972\pi\)
0.534765 + 0.845001i \(0.320400\pi\)
\(180\) 2.09163e9 + 1.66802e9i 1.99248 + 1.58895i
\(181\) 3.58451e8 + 1.57048e9i 0.333977 + 1.46325i 0.811357 + 0.584550i \(0.198729\pi\)
−0.477381 + 0.878697i \(0.658414\pi\)
\(182\) 3.67935e9 + 1.28746e9i 3.35340 + 1.17341i
\(183\) 1.05754e8 + 2.19601e8i 0.0942961 + 0.195808i
\(184\) −2.17087e9 + 1.36405e9i −1.89392 + 1.19003i
\(185\) −1.06109e9 + 3.71291e8i −0.905867 + 0.316977i
\(186\) −2.71921e8 2.71921e8i −0.227191 0.227191i
\(187\) −1.13995e8 + 2.36712e8i −0.0932219 + 0.193577i
\(188\) −2.16022e8 1.91725e9i −0.172929 1.53478i
\(189\) 6.51540e8 7.34109e7i 0.510615 0.0575325i
\(190\) 4.00019e9 + 1.92639e9i 3.06949 + 1.47819i
\(191\) 1.13852e9 1.13852e9i 0.855476 0.855476i −0.135325 0.990801i \(-0.543208\pi\)
0.990801 + 0.135325i \(0.0432079\pi\)
\(192\) 1.55003e8 + 4.42974e8i 0.114061 + 0.325967i
\(193\) −8.20787e8 1.30628e9i −0.591564 0.941468i −0.999594 0.0284996i \(-0.990927\pi\)
0.408030 0.912968i \(-0.366216\pi\)
\(194\) −2.32145e9 + 1.11795e9i −1.63890 + 0.789251i
\(195\) −9.75732e7 + 2.78848e8i −0.0674826 + 0.192854i
\(196\) −5.37899e9 + 1.22772e9i −3.64483 + 0.831908i
\(197\) 7.00307e8 8.78157e8i 0.464968 0.583052i −0.492963 0.870050i \(-0.664086\pi\)
0.957931 + 0.286999i \(0.0926575\pi\)
\(198\) −1.69348e9 2.12355e9i −1.10184 1.38166i
\(199\) 2.90899e8 1.27451e9i 0.185494 0.812702i −0.793460 0.608622i \(-0.791723\pi\)
0.978954 0.204080i \(-0.0654203\pi\)
\(200\) 1.27186e8 2.02415e8i 0.0794912 0.126510i
\(201\) −3.43150e7 + 3.04554e8i −0.0210233 + 0.186587i
\(202\) 7.60907e8i 0.457010i
\(203\) 8.68378e8 + 2.51933e9i 0.511358 + 1.48355i
\(204\) −1.63883e8 −0.0946267
\(205\) 6.98544e8 + 7.87070e7i 0.395529 + 0.0445654i
\(206\) −2.54633e9 1.59997e9i −1.41399 0.888468i
\(207\) 1.32645e9 + 3.02755e8i 0.722455 + 0.164896i
\(208\) 5.23377e9 4.17379e9i 2.79616 2.22986i
\(209\) −2.53328e9 2.02023e9i −1.32770 1.05880i
\(210\) −2.17955e8 9.54925e8i −0.112070 0.491012i
\(211\) −2.31343e9 8.09504e8i −1.16715 0.408403i −0.323987 0.946062i \(-0.605023\pi\)
−0.843163 + 0.537658i \(0.819309\pi\)
\(212\) −2.30386e9 4.78402e9i −1.14055 2.36837i
\(213\) −3.24085e8 + 2.03636e8i −0.157449 + 0.0989320i
\(214\) −4.76961e9 + 1.66896e9i −2.27420 + 0.795775i
\(215\) 8.75178e8 + 8.75178e8i 0.409584 + 0.409584i
\(216\) 9.07791e8 1.88505e9i 0.417033 0.865979i
\(217\) −3.99802e8 3.54834e9i −0.180304 1.60025i
\(218\) 4.83428e9 5.44692e8i 2.14045 0.241171i
\(219\) −1.30103e8 6.26541e7i −0.0565600 0.0272378i
\(220\) −4.18324e9 + 4.18324e9i −1.78576 + 1.78576i
\(221\) 2.10890e8 + 6.02688e8i 0.0884069 + 0.252653i
\(222\) 3.78768e8 + 6.02806e8i 0.155941 + 0.248179i
\(223\) −4.02085e8 + 1.93634e8i −0.162592 + 0.0783000i −0.513410 0.858144i \(-0.671618\pi\)
0.350818 + 0.936444i \(0.385904\pi\)
\(224\) −3.50046e9 + 1.00037e10i −1.39038 + 3.97347i
\(225\) −1.23681e8 + 2.82293e7i −0.0482583 + 0.0110147i
\(226\) 2.80971e9 3.52327e9i 1.07703 1.35055i
\(227\) 1.62288e9 + 2.03503e9i 0.611200 + 0.766421i 0.987077 0.160249i \(-0.0512297\pi\)
−0.375876 + 0.926670i \(0.622658\pi\)
\(228\) 4.49743e8 1.97045e9i 0.166428 0.729167i
\(229\) 1.93323e7 3.07671e7i 0.00702977 0.0111878i −0.843191 0.537614i \(-0.819326\pi\)
0.850221 + 0.526427i \(0.176468\pi\)
\(230\) 4.61591e8 4.09673e9i 0.164948 1.46395i
\(231\) 7.14820e8i 0.251043i
\(232\) 8.28134e9 + 1.93086e9i 2.85857 + 0.666500i
\(233\) 2.12438e8 0.0720791 0.0360396 0.999350i \(-0.488526\pi\)
0.0360396 + 0.999350i \(0.488526\pi\)
\(234\) −6.55955e9 7.39084e8i −2.18782 0.246508i
\(235\) 1.59935e9 + 1.00494e9i 0.524412 + 0.329510i
\(236\) 5.42954e9 + 1.23926e9i 1.75031 + 0.399497i
\(237\) −2.41550e8 + 1.92630e8i −0.0765621 + 0.0610562i
\(238\) −1.65514e9 1.31993e9i −0.515854 0.411380i
\(239\) −3.28637e7 1.43985e8i −0.0100722 0.0441293i 0.969642 0.244529i \(-0.0786332\pi\)
−0.979714 + 0.200399i \(0.935776\pi\)
\(240\) −1.58768e9 5.55554e8i −0.478540 0.167449i
\(241\) 1.28370e9 + 2.66564e9i 0.380537 + 0.790193i 0.999987 + 0.00515644i \(0.00164135\pi\)
−0.619450 + 0.785036i \(0.712644\pi\)
\(242\) −3.90928e8 + 2.45636e8i −0.113982 + 0.0716194i
\(243\) −1.57932e9 + 5.52626e8i −0.452943 + 0.158492i
\(244\) 8.38787e9 + 8.38787e9i 2.36642 + 2.36642i
\(245\) 2.34361e9 4.86656e9i 0.650461 1.35070i
\(246\) −4.98443e7 4.42381e8i −0.0136105 0.120797i
\(247\) −7.82518e9 + 8.81686e8i −2.10236 + 0.236879i
\(248\) −1.02661e10 4.94391e9i −2.71394 1.30696i
\(249\) 2.56779e8 2.56779e8i 0.0667978 0.0667978i
\(250\) −2.36724e9 6.76517e9i −0.606012 1.73188i
\(251\) 9.47049e8 + 1.50722e9i 0.238604 + 0.379736i 0.944464 0.328615i \(-0.106582\pi\)
−0.705860 + 0.708352i \(0.749439\pi\)
\(252\) 1.41740e10 6.82582e9i 3.51471 1.69259i
\(253\) −9.93706e8 + 2.83985e9i −0.242536 + 0.693128i
\(254\) −1.18932e10 + 2.71455e9i −2.85735 + 0.652172i
\(255\) 1.00034e8 1.25439e8i 0.0236585 0.0296668i
\(256\) 6.92861e8 + 8.68821e8i 0.161319 + 0.202288i
\(257\) 8.37719e8 3.67029e9i 0.192029 0.841332i −0.783488 0.621407i \(-0.786561\pi\)
0.975517 0.219925i \(-0.0705814\pi\)
\(258\) 4.17015e8 6.63676e8i 0.0941180 0.149788i
\(259\) −7.40157e8 + 6.56907e9i −0.164484 + 1.45984i
\(260\) 1.43778e10i 3.14628i
\(261\) −2.38298e9 3.83207e9i −0.513520 0.825793i
\(262\) −6.93604e9 −1.47200
\(263\) 5.34358e9 + 6.02076e8i 1.11689 + 0.125843i 0.651055 0.759031i \(-0.274327\pi\)
0.465831 + 0.884874i \(0.345755\pi\)
\(264\) 1.93139e9 + 1.21357e9i 0.397608 + 0.249833i
\(265\) 5.06804e9 + 1.15675e9i 1.02768 + 0.234560i
\(266\) 2.04124e10 1.62784e10i 4.07725 3.25150i
\(267\) 8.32914e7 + 6.64227e7i 0.0163891 + 0.0130699i
\(268\) 3.31908e9 + 1.45418e10i 0.643395 + 2.81890i
\(269\) −8.91755e9 3.12039e9i −1.70309 0.595935i −0.709066 0.705142i \(-0.750883\pi\)
−0.994019 + 0.109207i \(0.965169\pi\)
\(270\) 1.45973e9 + 3.03116e9i 0.274673 + 0.570365i
\(271\) −1.37170e9 + 8.61894e8i −0.254320 + 0.159800i −0.653158 0.757221i \(-0.726556\pi\)
0.398838 + 0.917021i \(0.369414\pi\)
\(272\) −3.43154e9 + 1.20075e9i −0.626921 + 0.219369i
\(273\) 1.22841e9 + 1.22841e9i 0.221154 + 0.221154i
\(274\) 1.74205e9 3.61740e9i 0.309071 0.641792i
\(275\) −3.14100e7 2.78771e8i −0.00549208 0.0487435i
\(276\) −1.86492e9 + 2.10126e8i −0.321384 + 0.0362113i
\(277\) 5.48857e9 + 2.64315e9i 0.932266 + 0.448956i 0.837435 0.546538i \(-0.184054\pi\)
0.0948315 + 0.995493i \(0.469769\pi\)
\(278\) −1.12277e10 + 1.12277e10i −1.87980 + 1.87980i
\(279\) 1.99713e9 + 5.70747e9i 0.329602 + 0.941948i
\(280\) −1.54410e10 2.45741e10i −2.51213 3.99803i
\(281\) 7.73664e9 3.72577e9i 1.24087 0.597572i 0.305822 0.952089i \(-0.401069\pi\)
0.935050 + 0.354516i \(0.115354\pi\)
\(282\) 3.95080e8 1.12907e9i 0.0624725 0.178536i
\(283\) 5.69400e9 1.29962e9i 0.887711 0.202614i 0.245734 0.969337i \(-0.420971\pi\)
0.641978 + 0.766723i \(0.278114\pi\)
\(284\) −1.16142e10 + 1.45637e10i −1.78532 + 2.23872i
\(285\) 1.23369e9 + 1.54700e9i 0.186994 + 0.234483i
\(286\) 3.24819e9 1.42313e10i 0.485487 2.12706i
\(287\) 2.19928e9 3.50014e9i 0.324156 0.515891i
\(288\) 2.00948e9 1.78347e10i 0.292089 2.59236i
\(289\) 6.62899e9i 0.950289i
\(290\) −1.07301e10 + 8.47534e9i −1.51709 + 1.19830i
\(291\) −1.14830e9 −0.160134
\(292\) −6.98359e9 7.86861e8i −0.960610 0.108235i
\(293\) −8.19440e9 5.14888e9i −1.11185 0.698622i −0.154628 0.987973i \(-0.549418\pi\)
−0.957223 + 0.289351i \(0.906561\pi\)
\(294\) −3.33494e9 7.61177e8i −0.446373 0.101882i
\(295\) −4.26272e9 + 3.39941e9i −0.562859 + 0.448865i
\(296\) 1.64926e10 + 1.31524e10i 2.14843 + 1.71332i
\(297\) −5.46348e8 2.39371e9i −0.0702172 0.307642i
\(298\) 1.23953e10 + 4.33730e9i 1.57178 + 0.549990i
\(299\) 3.17259e9 + 6.58795e9i 0.396944 + 0.824262i
\(300\) 1.48167e8 9.30997e7i 0.0182923 0.0114938i
\(301\) 6.86974e9 2.40383e9i 0.836901 0.292844i
\(302\) 1.89813e10 + 1.89813e10i 2.28191 + 2.28191i
\(303\) −1.47134e8 + 3.05526e8i −0.0174559 + 0.0362475i
\(304\) −5.02007e9 4.45544e10i −0.587781 5.21670i
\(305\) −1.15401e10 + 1.30026e9i −1.33356 + 0.150256i
\(306\) 3.22992e9 + 1.55545e9i 0.368389 + 0.177407i
\(307\) −3.99987e9 + 3.99987e9i −0.450291 + 0.450291i −0.895451 0.445160i \(-0.853147\pi\)
0.445160 + 0.895451i \(0.353147\pi\)
\(308\) 1.14900e10 + 3.28365e10i 1.27678 + 3.64883i
\(309\) −7.13046e8 1.13481e9i −0.0782138 0.124477i
\(310\) 1.65079e10 7.94980e9i 1.78750 0.860814i
\(311\) −2.35308e9 + 6.72471e9i −0.251533 + 0.718839i 0.747007 + 0.664816i \(0.231490\pi\)
−0.998540 + 0.0540230i \(0.982796\pi\)
\(312\) 5.40461e9 1.23357e9i 0.570356 0.130180i
\(313\) 2.20007e9 2.75881e9i 0.229224 0.287438i −0.653897 0.756584i \(-0.726867\pi\)
0.883120 + 0.469146i \(0.155438\pi\)
\(314\) −9.42998e9 1.18248e10i −0.970046 1.21640i
\(315\) −3.42717e9 + 1.50154e10i −0.348092 + 1.52509i
\(316\) −7.99970e9 + 1.27314e10i −0.802279 + 1.27682i
\(317\) 1.61630e9 1.43451e10i 0.160061 1.42058i −0.614917 0.788592i \(-0.710811\pi\)
0.774978 0.631988i \(-0.217761\pi\)
\(318\) 3.29208e9i 0.321930i
\(319\) 9.01076e9 4.28767e9i 0.870159 0.414055i
\(320\) −2.23607e10 −2.13248
\(321\) −2.23786e9 2.52146e8i −0.210772 0.0237482i
\(322\) −2.05272e10 1.28981e10i −1.90944 1.19978i
\(323\) 4.16942e9 + 9.51642e8i 0.383058 + 0.0874306i
\(324\) −2.02213e10 + 1.61259e10i −1.83497 + 1.46334i
\(325\) −5.33045e8 4.25089e8i −0.0477782 0.0381019i
\(326\) −4.55909e9 1.99747e10i −0.403652 1.76852i
\(327\) 2.04643e9 + 7.16076e8i 0.178980 + 0.0626279i
\(328\) −5.72333e9 1.18846e10i −0.494486 1.02681i
\(329\) 9.40490e9 5.90949e9i 0.802732 0.504390i
\(330\) −3.46204e9 + 1.21142e9i −0.291929 + 0.102150i
\(331\) 4.52766e9 + 4.52766e9i 0.377192 + 0.377192i 0.870088 0.492896i \(-0.164062\pi\)
−0.492896 + 0.870088i \(0.664062\pi\)
\(332\) 7.66814e9 1.59231e10i 0.631157 1.31061i
\(333\) −1.25338e9 1.11241e10i −0.101931 0.904665i
\(334\) 3.07581e10 3.46560e9i 2.47157 0.278479i
\(335\) −1.31565e10 6.33583e9i −1.04463 0.503065i
\(336\) −6.99424e9 + 6.99424e9i −0.548762 + 0.548762i
\(337\) −1.61347e9 4.61103e9i −0.125095 0.357502i 0.864255 0.503053i \(-0.167790\pi\)
−0.989351 + 0.145552i \(0.953504\pi\)
\(338\) −5.77912e9 9.19741e9i −0.442787 0.704691i
\(339\) 1.80946e9 8.71391e8i 0.137010 0.0659803i
\(340\) 2.57894e9 7.37019e9i 0.192986 0.551522i
\(341\) −1.30363e10 + 2.97546e9i −0.964135 + 0.220057i
\(342\) −2.75658e10 + 3.45665e10i −2.01496 + 2.52668i
\(343\) −6.26189e9 7.85216e9i −0.452407 0.567300i
\(344\) 5.16803e9 2.26426e10i 0.369055 1.61693i
\(345\) 9.77512e8 1.55570e9i 0.0689994 0.109812i
\(346\) −2.78129e9 + 2.46846e10i −0.194062 + 1.72235i
\(347\) 9.90412e8i 0.0683122i 0.999417 + 0.0341561i \(0.0108743\pi\)
−0.999417 + 0.0341561i \(0.989126\pi\)
\(348\) 4.84835e9 + 3.90358e9i 0.330580 + 0.266162i
\(349\) −2.25843e10 −1.52231 −0.761157 0.648568i \(-0.775368\pi\)
−0.761157 + 0.648568i \(0.775368\pi\)
\(350\) 2.24625e9 + 2.53092e8i 0.149688 + 0.0168658i
\(351\) −5.05247e9 3.17468e9i −0.332870 0.209156i
\(352\) 3.86932e10 + 8.83146e9i 2.52037 + 0.575257i
\(353\) 1.83705e10 1.46500e10i 1.18310 0.943492i 0.183881 0.982949i \(-0.441134\pi\)
0.999221 + 0.0394563i \(0.0125626\pi\)
\(354\) 2.69954e9 + 2.15281e9i 0.171900 + 0.137086i
\(355\) −4.05802e9 1.77793e10i −0.255506 1.11944i
\(356\) 4.89381e9 + 1.71242e9i 0.304682 + 0.106613i
\(357\) −4.09357e8 8.50038e8i −0.0252017 0.0523318i
\(358\) −5.70500e9 + 3.58469e9i −0.347315 + 0.218232i
\(359\) 1.24855e10 4.36887e9i 0.751672 0.263021i 0.0728687 0.997342i \(-0.476785\pi\)
0.678803 + 0.734320i \(0.262499\pi\)
\(360\) 3.47522e10 + 3.47522e10i 2.06906 + 2.06906i
\(361\) −1.55153e10 + 3.22178e10i −0.913548 + 1.89700i
\(362\) 5.44212e9 + 4.83001e10i 0.316908 + 2.81264i
\(363\) −2.04466e8 + 2.30378e7i −0.0117759 + 0.00132683i
\(364\) 7.61749e10 + 3.66839e10i 4.33916 + 2.08963i
\(365\) 4.86504e9 4.86504e9i 0.274104 0.274104i
\(366\) 2.42904e9 + 6.94179e9i 0.135366 + 0.386854i
\(367\) 4.31738e9 + 6.87107e9i 0.237989 + 0.378757i 0.944269 0.329176i \(-0.106771\pi\)
−0.706280 + 0.707933i \(0.749628\pi\)
\(368\) −3.75099e10 + 1.80638e10i −2.04529 + 0.984960i
\(369\) −2.31199e9 + 6.60728e9i −0.124704 + 0.356383i
\(370\) −3.30700e10 + 7.54801e9i −1.76452 + 0.402740i
\(371\) 1.90593e10 2.38996e10i 1.00603 1.26152i
\(372\) −5.20038e9 6.52107e9i −0.271559 0.340524i
\(373\) 1.82305e9 7.98728e9i 0.0941808 0.412633i −0.905757 0.423798i \(-0.860697\pi\)
0.999938 + 0.0111648i \(0.00355393\pi\)
\(374\) −4.21771e9 + 6.71245e9i −0.215571 + 0.343080i
\(375\) 3.57641e8 3.17415e9i 0.0180852 0.160510i
\(376\) 3.54441e10i 1.77334i
\(377\) 8.11661e9 2.28533e10i 0.401800 1.13131i
\(378\) 1.97838e10 0.969040
\(379\) −1.69144e10 1.90580e9i −0.819785 0.0923676i −0.307897 0.951420i \(-0.599625\pi\)
−0.511888 + 0.859052i \(0.671054\pi\)
\(380\) 8.15383e10 + 5.12339e10i 3.91045 + 2.45710i
\(381\) −5.30037e9 1.20977e9i −0.251539 0.0574122i
\(382\) 3.79838e10 3.02910e10i 1.78379 1.42253i
\(383\) 1.40882e10 + 1.12349e10i 0.654725 + 0.522126i 0.893565 0.448933i \(-0.148196\pi\)
−0.238840 + 0.971059i \(0.576767\pi\)
\(384\) 9.96221e8 + 4.36473e9i 0.0458174 + 0.200739i
\(385\) −3.21470e10 1.12487e10i −1.46318 0.511989i
\(386\) −2.01974e10 4.19402e10i −0.909799 1.88922i
\(387\) −1.04358e10 + 6.55723e9i −0.465244 + 0.292332i
\(388\) −5.27492e10 + 1.84578e10i −2.32750 + 0.814427i
\(389\) −1.59696e10 1.59696e10i −0.697423 0.697423i 0.266431 0.963854i \(-0.414156\pi\)
−0.963854 + 0.266431i \(0.914156\pi\)
\(390\) −3.86768e9 + 8.03133e9i −0.167183 + 0.347160i
\(391\) −4.44620e8 3.94612e9i −0.0190231 0.168835i
\(392\) −1.00720e11 + 1.13484e10i −4.26551 + 0.480608i
\(393\) −2.78502e9 1.34119e9i −0.116750 0.0562240i
\(394\) 2.39647e10 2.39647e10i 0.994460 0.994460i
\(395\) −4.86184e9 1.38943e10i −0.199716 0.570755i
\(396\) −3.13427e10 4.98817e10i −1.27455 2.02843i
\(397\) −1.93059e10 + 9.29725e9i −0.777193 + 0.374276i −0.780048 0.625720i \(-0.784805\pi\)
0.00285533 + 0.999996i \(0.499091\pi\)
\(398\) 1.30281e10 3.72321e10i 0.519216 1.48384i
\(399\) 1.13439e10 2.58916e9i 0.447578 0.102157i
\(400\) 2.42034e9 3.03501e9i 0.0945444 0.118555i
\(401\) 7.54360e8 + 9.45937e8i 0.0291743 + 0.0365835i 0.796205 0.605027i \(-0.206838\pi\)
−0.767030 + 0.641611i \(0.778266\pi\)
\(402\) −2.05780e9 + 9.01582e9i −0.0787951 + 0.345224i
\(403\) −1.72896e10 + 2.75162e10i −0.655487 + 1.04320i
\(404\) −1.84782e9 + 1.63999e10i −0.0693642 + 0.615624i
\(405\) 2.53209e10i 0.941152i
\(406\) 1.75262e10 + 7.84733e10i 0.645034 + 2.88814i
\(407\) 2.47549e10 0.902160
\(408\) −2.99172e9 3.37086e8i −0.107964 0.0121647i
\(409\) 3.43187e10 + 2.15639e10i 1.22642 + 0.770608i 0.980085 0.198577i \(-0.0636321\pi\)
0.246331 + 0.969186i \(0.420775\pi\)
\(410\) 2.06792e10 + 4.71990e9i 0.731810 + 0.167031i
\(411\) 1.39897e9 1.11564e9i 0.0490275 0.0390981i
\(412\) −5.09959e10 4.06678e10i −1.76989 1.41144i
\(413\) 7.13437e9 + 3.12577e10i 0.245220 + 1.07438i
\(414\) 3.87495e10 + 1.35590e10i 1.31906 + 0.461560i
\(415\) 7.50713e9 + 1.55887e10i 0.253094 + 0.525554i
\(416\) 8.16708e10 5.13172e10i 2.72705 1.71352i
\(417\) −6.67929e9 + 2.33718e9i −0.220895 + 0.0772945i
\(418\) −6.91328e10 6.91328e10i −2.26453 2.26453i
\(419\) 1.15507e10 2.39853e10i 0.374759 0.778195i −0.625239 0.780434i \(-0.714998\pi\)
0.999997 + 0.00223875i \(0.000712618\pi\)
\(420\) −2.37862e9 2.11109e10i −0.0764414 0.678436i
\(421\) 3.62514e10 4.08455e9i 1.15397 0.130022i 0.485830 0.874053i \(-0.338517\pi\)
0.668145 + 0.744031i \(0.267089\pi\)
\(422\) −6.66310e10 3.20878e10i −2.10100 1.01179i
\(423\) −1.33002e10 + 1.33002e10i −0.415429 + 0.415429i
\(424\) −3.22174e10 9.20721e10i −0.996844 2.84882i
\(425\) 1.96996e8 + 3.13517e8i 0.00603811 + 0.00960960i
\(426\) −1.04053e10 + 5.01094e9i −0.315949 + 0.152153i
\(427\) −2.25550e10 + 6.44584e10i −0.678470 + 1.93895i
\(428\) −1.06853e11 + 2.43885e10i −3.18428 + 0.726791i
\(429\) 4.05608e9 5.08617e9i 0.119751 0.150163i
\(430\) 2.32846e10 + 2.91980e10i 0.681075 + 0.854042i
\(431\) −7.74683e9 + 3.39411e10i −0.224499 + 0.983595i 0.729546 + 0.683932i \(0.239731\pi\)
−0.954045 + 0.299663i \(0.903126\pi\)
\(432\) 1.80757e10 2.87673e10i 0.518992 0.825971i
\(433\) 1.35600e8 1.20348e9i 0.00385752 0.0342364i −0.991636 0.129066i \(-0.958802\pi\)
0.995494 + 0.0948297i \(0.0302306\pi\)
\(434\) 1.07744e11i 3.03693i
\(435\) −5.94728e9 + 1.32826e9i −0.166097 + 0.0370959i
\(436\) 1.05516e11 2.91994
\(437\) 4.86664e10 + 5.48339e9i 1.33445 + 0.150357i
\(438\) −3.68932e9 2.31815e9i −0.100242 0.0629862i
\(439\) 5.74899e9 + 1.31217e9i 0.154787 + 0.0353290i 0.299212 0.954187i \(-0.403276\pi\)
−0.144425 + 0.989516i \(0.546133\pi\)
\(440\) −8.49704e10 + 6.77616e10i −2.26703 + 1.80789i
\(441\) 4.20530e10 + 3.35361e10i 1.11184 + 0.886663i
\(442\) 4.28720e9 + 1.87834e10i 0.112327 + 0.492137i
\(443\) 2.86163e10 + 1.00133e10i 0.743016 + 0.259992i 0.675128 0.737701i \(-0.264088\pi\)
0.0678876 + 0.997693i \(0.478374\pi\)
\(444\) 6.69974e9 + 1.39121e10i 0.172396 + 0.357983i
\(445\) −4.29789e9 + 2.70054e9i −0.109601 + 0.0688669i
\(446\) −1.27103e10 + 4.44751e9i −0.321229 + 0.112403i
\(447\) 4.13838e9 + 4.13838e9i 0.103658 + 0.103658i
\(448\) −5.70518e10 + 1.18469e11i −1.41631 + 2.94099i
\(449\) −1.10035e9 9.76586e9i −0.0270735 0.240284i −0.999960 0.00899896i \(-0.997136\pi\)
0.972886 0.231285i \(-0.0742931\pi\)
\(450\) −3.80381e9 + 4.28587e8i −0.0927617 + 0.0104517i
\(451\) −1.39467e10 6.71637e9i −0.337105 0.162341i
\(452\) 6.91141e10 6.91141e10i 1.65582 1.65582i
\(453\) 3.95120e9 + 1.12919e10i 0.0938288 + 0.268147i
\(454\) 4.17853e10 + 6.65010e10i 0.983559 + 1.56532i
\(455\) −7.45754e10 + 3.59136e10i −1.74000 + 0.837941i
\(456\) 1.22631e10 3.50460e10i 0.283623 0.810548i
\(457\) 3.69024e10 8.42274e9i 0.846038 0.193103i 0.222536 0.974924i \(-0.428566\pi\)
0.623502 + 0.781822i \(0.285709\pi\)
\(458\) 6.83601e8 8.57209e8i 0.0155361 0.0194816i
\(459\) 2.02050e9 + 2.53363e9i 0.0455207 + 0.0570812i
\(460\) 1.98974e10 8.71763e10i 0.444391 1.94701i
\(461\) 1.02174e10 1.62608e10i 0.226222 0.360030i −0.714256 0.699884i \(-0.753235\pi\)
0.940478 + 0.339854i \(0.110378\pi\)
\(462\) −2.41493e9 + 2.14331e10i −0.0530075 + 0.470454i
\(463\) 1.62167e10i 0.352889i −0.984311 0.176445i \(-0.943540\pi\)
0.984311 0.176445i \(-0.0564596\pi\)
\(464\) 1.30120e11 + 4.62137e10i 2.80720 + 0.997008i
\(465\) 8.16563e9 0.174654
\(466\) 6.36975e9 + 7.17698e8i 0.135076 + 0.0152194i
\(467\) 3.20363e10 + 2.01298e10i 0.673558 + 0.423225i 0.824917 0.565254i \(-0.191222\pi\)
−0.151359 + 0.988479i \(0.548365\pi\)
\(468\) −1.39584e11 3.18591e10i −2.90972 0.664125i
\(469\) −6.71357e10 + 5.35390e10i −1.38759 + 1.10657i
\(470\) 4.45598e10 + 3.55353e10i 0.913171 + 0.728229i
\(471\) −1.49989e9 6.57144e9i −0.0304772 0.133530i
\(472\) 9.65684e10 + 3.37907e10i 1.94566 + 0.680816i
\(473\) −1.18253e10 2.45555e10i −0.236248 0.490574i
\(474\) −7.89340e9 + 4.95975e9i −0.156369 + 0.0982532i
\(475\) −4.31020e9 + 1.50820e9i −0.0846686 + 0.0296268i
\(476\) −3.24680e10 3.24680e10i −0.632452 0.632452i
\(477\) −2.24601e10 + 4.66389e10i −0.433849 + 0.900896i
\(478\) −4.98947e8 4.42828e9i −0.00955747 0.0848249i
\(479\) 5.69806e10 6.42017e9i 1.08239 0.121956i 0.447293 0.894387i \(-0.352388\pi\)
0.635099 + 0.772431i \(0.280959\pi\)
\(480\) −2.18363e10 1.05158e10i −0.411352 0.198097i
\(481\) 4.25412e10 4.25412e10i 0.794748 0.794748i
\(482\) 2.94850e10 + 8.42632e10i 0.546277 + 1.56117i
\(483\) −5.74821e9 9.14822e9i −0.105619 0.168092i
\(484\) −9.02222e9 + 4.34487e9i −0.164411 + 0.0791763i
\(485\) 1.80702e10 5.16416e10i 0.326585 0.933325i
\(486\) −4.92211e10 + 1.12344e10i −0.882280 + 0.201375i
\(487\) −5.93192e10 + 7.43839e10i −1.05458 + 1.32240i −0.110067 + 0.993924i \(0.535106\pi\)
−0.944512 + 0.328476i \(0.893465\pi\)
\(488\) 1.35870e11 + 1.70375e11i 2.39576 + 3.00419i
\(489\) 2.03182e9 8.90198e9i 0.0355344 0.155686i
\(490\) 8.67119e10 1.38001e11i 1.50416 2.39386i
\(491\) 5.26449e9 4.67237e10i 0.0905796 0.803916i −0.863497 0.504354i \(-0.831731\pi\)
0.954077 0.299562i \(-0.0968407\pi\)
\(492\) 9.65572e9i 0.164787i
\(493\) −8.25985e9 + 1.02589e10i −0.139825 + 0.173666i
\(494\) −2.37609e11 −3.98983
\(495\) 5.73117e10 + 6.45748e9i 0.954603 + 0.107558i
\(496\) −1.56669e11 9.84419e10i −2.58855 1.62650i
\(497\) −1.04551e11 2.38630e10i −1.71357 0.391110i
\(498\) 8.56675e9 6.83175e9i 0.139283 0.111075i
\(499\) −4.14198e10 3.30311e10i −0.668044 0.532748i 0.229702 0.973261i \(-0.426225\pi\)
−0.897746 + 0.440514i \(0.854796\pi\)
\(500\) −3.45924e10 1.51559e11i −0.553478 2.42495i
\(501\) 1.30204e10 + 4.55603e9i 0.206668 + 0.0723162i
\(502\) 2.33043e10 + 4.83919e10i 0.366962 + 0.762005i
\(503\) 2.72053e10 1.70942e10i 0.424993 0.267041i −0.302509 0.953147i \(-0.597824\pi\)
0.727502 + 0.686106i \(0.240681\pi\)
\(504\) 2.72788e11 9.54528e10i 4.22770 1.47933i
\(505\) −1.14248e10 1.14248e10i −0.175664 0.175664i
\(506\) −3.93893e10 + 8.17928e10i −0.600865 + 1.24771i
\(507\) −5.42014e8 4.81051e9i −0.00820312 0.0728047i
\(508\) −2.62927e11 + 2.96248e10i −3.94804 + 0.444837i
\(509\) 4.85608e10 + 2.33857e10i 0.723461 + 0.348400i 0.759109 0.650964i \(-0.225635\pi\)
−0.0356478 + 0.999364i \(0.511349\pi\)
\(510\) 3.42319e9 3.42319e9i 0.0506000 0.0506000i
\(511\) −1.33627e10 3.81883e10i −0.195979 0.560076i
\(512\) −2.75053e10 4.37744e10i −0.400254 0.637001i
\(513\) −3.60081e10 + 1.73406e10i −0.519913 + 0.250377i
\(514\) 3.75178e10 1.07220e11i 0.537507 1.53611i
\(515\) 6.22555e10 1.42094e10i 0.885012 0.201998i
\(516\) 1.05997e10 1.32916e10i 0.149518 0.187490i
\(517\) −2.59334e10 3.25195e10i −0.362992 0.455178i
\(518\) −4.43857e10 + 1.94466e11i −0.616487 + 2.70100i
\(519\) −5.88993e9 + 9.37378e9i −0.0811785 + 0.129195i
\(520\) −2.95732e10 + 2.62469e11i −0.404468 + 3.58976i
\(521\) 9.72560e10i 1.31997i 0.751277 + 0.659987i \(0.229438\pi\)
−0.751277 + 0.659987i \(0.770562\pi\)
\(522\) −5.85049e10 1.22951e11i −0.787971 1.65596i
\(523\) 1.06142e11 1.41867 0.709334 0.704873i \(-0.248996\pi\)
0.709334 + 0.704873i \(0.248996\pi\)
\(524\) −1.49493e11 1.68438e10i −1.98288 0.223417i
\(525\) 8.52995e8 + 5.35972e8i 0.0112282 + 0.00705513i
\(526\) 1.58188e11 + 3.61053e10i 2.06647 + 0.471658i
\(527\) 1.37984e10 1.10038e10i 0.178890 0.142660i
\(528\) 2.89592e10 + 2.30942e10i 0.372607 + 0.297144i
\(529\) 7.30664e9 + 3.20125e10i 0.0933028 + 0.408786i
\(530\) 1.48052e11 + 5.18056e10i 1.87634 + 0.656558i
\(531\) −2.35569e10 4.89165e10i −0.296306 0.615286i
\(532\) 4.79482e11 3.01278e11i 5.98585 3.76116i
\(533\) −3.55094e10 + 1.24253e10i −0.439981 + 0.153956i
\(534\) 2.27300e9 + 2.27300e9i 0.0279534 + 0.0279534i
\(535\) 4.65555e10 9.66734e10i 0.568271 1.18003i
\(536\) 3.06798e10 + 2.72291e11i 0.371701 + 3.29894i
\(537\) −2.98388e9 + 3.36202e8i −0.0358826 + 0.00404300i
\(538\) −2.56842e11 1.23688e11i −3.06575 1.47639i
\(539\) −8.41057e10 + 8.41057e10i −0.996485 + 0.996485i
\(540\) 2.41006e10 + 6.88757e10i 0.283435 + 0.810011i
\(541\) 1.82021e10 + 2.89684e10i 0.212487 + 0.338171i 0.935913 0.352231i \(-0.114577\pi\)
−0.723426 + 0.690401i \(0.757434\pi\)
\(542\) −4.40407e10 + 2.12089e10i −0.510337 + 0.245765i
\(543\) −7.15444e9 + 2.04462e10i −0.0822956 + 0.235187i
\(544\) −5.10701e10 + 1.16564e10i −0.583137 + 0.133097i
\(545\) −6.44070e10 + 8.07639e10i −0.730041 + 0.915442i
\(546\) 3.26827e10 + 4.09828e10i 0.367745 + 0.461138i
\(547\) 3.47135e10 1.52090e11i 0.387748 1.69883i −0.284639 0.958635i \(-0.591874\pi\)
0.672387 0.740200i \(-0.265269\pi\)
\(548\) 4.63312e10 7.37357e10i 0.513749 0.817627i
\(549\) 1.29480e10 1.14916e11i 0.142532 1.26501i
\(550\) 8.46478e9i 0.0925049i
\(551\) −1.00681e11 1.27466e11i −1.09230 1.38289i
\(552\) −3.44768e10 −0.371339
\(553\) −8.60183e10 9.69193e9i −0.919793 0.103636i
\(554\) 1.55639e11 + 9.77947e10i 1.65227 + 1.03819i
\(555\) −1.47381e10 3.36387e9i −0.155335 0.0354542i
\(556\) −2.69257e11 + 2.14725e11i −2.81752 + 2.24690i
\(557\) −3.11096e10 2.48091e10i −0.323201 0.257745i 0.448425 0.893820i \(-0.351985\pi\)
−0.771627 + 0.636076i \(0.780557\pi\)
\(558\) 4.05999e10 + 1.77880e11i 0.418782 + 1.83480i
\(559\) −6.25203e10 2.18768e10i −0.640286 0.224046i
\(560\) −2.04482e11 4.24611e11i −2.07923 4.31757i
\(561\) −2.99150e9 + 1.87968e9i −0.0302021 + 0.0189772i
\(562\) 2.44562e11 8.55760e10i 2.45157 0.857841i
\(563\) 5.34763e10 + 5.34763e10i 0.532265 + 0.532265i 0.921246 0.388981i \(-0.127173\pi\)
−0.388981 + 0.921246i \(0.627173\pi\)
\(564\) 1.12571e10 2.33756e10i 0.111253 0.231019i
\(565\) 1.07139e10 + 9.50881e10i 0.105136 + 0.933109i
\(566\) 1.75119e11 1.97312e10i 1.70635 0.192260i
\(567\) −1.34153e11 6.46046e10i −1.29798 0.625074i
\(568\) −2.41975e11 + 2.41975e11i −2.32476 + 2.32476i
\(569\) −1.55736e10 4.45069e10i −0.148573 0.424599i 0.845411 0.534116i \(-0.179355\pi\)
−0.993985 + 0.109517i \(0.965070\pi\)
\(570\) 3.17646e10 + 5.05531e10i 0.300915 + 0.478904i
\(571\) 4.25971e10 2.05137e10i 0.400715 0.192974i −0.222662 0.974896i \(-0.571475\pi\)
0.623377 + 0.781922i \(0.285760\pi\)
\(572\) 1.04568e11 2.98839e11i 0.976824 2.79160i
\(573\) 2.11088e10 4.81795e9i 0.195815 0.0446935i
\(574\) 7.77681e10 9.75181e10i 0.716397 0.898333i
\(575\) 2.64371e9 + 3.31511e9i 0.0241848 + 0.0303268i
\(576\) 4.95482e10 2.17085e11i 0.450130 1.97215i
\(577\) −2.97401e10 + 4.73312e10i −0.268312 + 0.427016i −0.953519 0.301332i \(-0.902569\pi\)
0.685207 + 0.728348i \(0.259712\pi\)
\(578\) −2.23952e10 + 1.98763e11i −0.200652 + 1.78084i
\(579\) 2.07457e10i 0.184592i
\(580\) −2.51849e11 + 1.56612e11i −2.22550 + 1.38393i
\(581\) 1.01744e11 0.892907
\(582\) −3.44306e10 3.87940e9i −0.300091 0.0338121i
\(583\) −9.69254e10 6.09022e10i −0.839003 0.527180i
\(584\) −1.25868e11 2.87286e10i −1.08209 0.246981i
\(585\) 1.09587e11 8.73928e10i 0.935699 0.746195i
\(586\) −2.28306e11 1.82068e11i −1.93609 1.54398i
\(587\) 2.21190e9 + 9.69097e9i 0.0186300 + 0.0816234i 0.983388 0.181514i \(-0.0580998\pi\)
−0.964758 + 0.263138i \(0.915243\pi\)
\(588\) −7.00297e10 2.45044e10i −0.585832 0.204991i
\(589\) 9.44382e10 + 1.96103e11i 0.784669 + 1.62938i
\(590\) −1.39298e11 + 8.75267e10i −1.14957 + 0.722324i
\(591\) 1.42565e10 4.98856e9i 0.116859 0.0408908i
\(592\) 2.42218e11 + 2.42218e11i 1.97205 + 1.97205i
\(593\) −2.65554e10 + 5.51429e10i −0.214751 + 0.445934i −0.980319 0.197420i \(-0.936744\pi\)
0.765568 + 0.643355i \(0.222458\pi\)
\(594\) −8.29482e9 7.36186e10i −0.0666287 0.591346i
\(595\) 4.46699e10 5.03309e9i 0.356408 0.0401575i
\(596\) 2.56624e11 + 1.23584e11i 2.03382 + 0.979436i
\(597\) 1.24306e10 1.24306e10i 0.0978575 0.0978575i
\(598\) 7.28702e10 + 2.08251e11i 0.569830 + 1.62848i
\(599\) −4.73253e10 7.53178e10i −0.367609 0.585046i 0.610785 0.791797i \(-0.290854\pi\)
−0.978394 + 0.206750i \(0.933711\pi\)
\(600\) 2.89632e9 1.39479e9i 0.0223481 0.0107623i
\(601\) 3.69274e10 1.05532e11i 0.283042 0.808887i −0.711322 0.702866i \(-0.751903\pi\)
0.994364 0.106021i \(-0.0338109\pi\)
\(602\) 2.14103e11 4.88676e10i 1.63018 0.372079i
\(603\) 9.06631e10 1.13688e11i 0.685743 0.859894i
\(604\) 3.63011e11 + 4.55201e11i 2.72754 + 3.42023i
\(605\) 2.18152e9 9.55784e9i 0.0162831 0.0713409i
\(606\) −5.44383e9 + 8.66381e9i −0.0403658 + 0.0642419i
\(607\) −1.34315e10 + 1.19208e11i −0.0989396 + 0.878114i 0.841986 + 0.539500i \(0.181387\pi\)
−0.940925 + 0.338614i \(0.890042\pi\)
\(608\) 6.46031e11i 4.72758i
\(609\) −8.13683e9 + 3.48983e10i −0.0591543 + 0.253708i
\(610\) −3.50412e11 −2.53081
\(611\) −1.00451e11 1.13181e10i −0.720758 0.0812099i
\(612\) 6.58375e10 + 4.13684e10i 0.469318 + 0.294892i
\(613\) 9.97740e10 + 2.27728e10i 0.706603 + 0.161277i 0.560697 0.828021i \(-0.310533\pi\)
0.145906 + 0.989299i \(0.453390\pi\)
\(614\) −1.33445e11 + 1.06419e11i −0.938922 + 0.748765i
\(615\) 7.39063e9 + 5.89383e9i 0.0516632 + 0.0412000i
\(616\) 1.42212e11 + 6.23071e11i 0.987672 + 4.32727i
\(617\) −7.14279e10 2.49937e10i −0.492864 0.172461i 0.0723918 0.997376i \(-0.476937\pi\)
−0.565256 + 0.824916i \(0.691223\pi\)
\(618\) −1.75461e10 3.64349e10i −0.120289 0.249784i
\(619\) −2.88148e10 + 1.81056e10i −0.196270 + 0.123325i −0.626582 0.779356i \(-0.715546\pi\)
0.430312 + 0.902680i \(0.358404\pi\)
\(620\) 3.75103e11 1.31254e11i 2.53854 0.888272i
\(621\) 2.62411e10 + 2.62411e10i 0.176447 + 0.176447i
\(622\) −9.32732e10 + 1.93684e11i −0.623154 + 1.29399i
\(623\) 3.34198e9 + 2.96609e10i 0.0221846 + 0.196894i
\(624\) 8.94535e10 1.00790e10i 0.590010 0.0664781i
\(625\) 1.44119e11 + 6.94039e10i 0.944496 + 0.454845i
\(626\) 7.52872e10 7.52872e10i 0.490257 0.490257i
\(627\) −1.43909e10 4.11267e10i −0.0931144 0.266106i
\(628\) −1.74529e11 2.77762e11i −1.12209 1.78580i
\(629\) −2.94376e10 + 1.41764e10i −0.188062 + 0.0905658i
\(630\) −1.53488e11 + 4.38644e11i −0.974344 + 2.78452i
\(631\) −1.44233e11 + 3.29203e10i −0.909804 + 0.207657i −0.651715 0.758464i \(-0.725950\pi\)
−0.258090 + 0.966121i \(0.583093\pi\)
\(632\) −1.72223e11 + 2.15961e11i −1.07950 + 1.35365i
\(633\) −2.05496e10 2.57684e10i −0.127994 0.160499i
\(634\) 9.69262e10 4.24662e11i 0.599908 2.62837i
\(635\) 1.37815e11 2.19332e11i 0.847622 1.34898i
\(636\) 7.99464e9 7.09544e10i 0.0488619 0.433662i
\(637\) 2.89071e11i 1.75568i
\(638\) 2.84664e11 9.81195e10i 1.71810 0.592206i
\(639\) 1.81599e11 1.08921
\(640\) −2.11968e11 2.38831e10i −1.26343 0.142354i
\(641\) −9.35981e10 5.88116e10i −0.554415 0.348362i 0.225504 0.974242i \(-0.427597\pi\)
−0.779919 + 0.625880i \(0.784740\pi\)
\(642\) −6.62479e10 1.51207e10i −0.389971 0.0890083i
\(643\) −1.61743e11 + 1.28986e11i −0.946196 + 0.754566i −0.969482 0.245163i \(-0.921159\pi\)
0.0232858 + 0.999729i \(0.492587\pi\)
\(644\) −4.11102e11 3.27843e11i −2.39005 1.90600i
\(645\) 3.70354e9 + 1.62263e10i 0.0213983 + 0.0937520i
\(646\) 1.21801e11 + 4.26199e10i 0.699390 + 0.244727i
\(647\) −5.48384e10 1.13873e11i −0.312945 0.649836i 0.683869 0.729605i \(-0.260296\pi\)
−0.996813 + 0.0797689i \(0.974582\pi\)
\(648\) −4.02313e11 + 2.52790e11i −2.28173 + 1.43371i
\(649\) 1.13324e11 3.96537e10i 0.638766 0.223514i
\(650\) −1.45467e10 1.45467e10i −0.0814911 0.0814911i
\(651\) 2.08340e10 4.32624e10i 0.115998 0.240872i
\(652\) −4.97549e10 4.41587e11i −0.275325 2.44358i
\(653\) 1.32861e11 1.49698e10i 0.730708 0.0823310i 0.261232 0.965276i \(-0.415871\pi\)
0.469476 + 0.882945i \(0.344443\pi\)
\(654\) 5.89408e10 + 2.83844e10i 0.322185 + 0.155156i
\(655\) 1.04143e11 1.04143e11i 0.565802 0.565802i
\(656\) −7.07460e10 2.02180e11i −0.382020 1.09175i
\(657\) 3.64511e10 + 5.80116e10i 0.195636 + 0.311353i
\(658\) 3.01961e11 1.45417e11i 1.61082 0.775730i
\(659\) −1.06375e11 + 3.04001e11i −0.564022 + 1.61188i 0.209287 + 0.977854i \(0.432886\pi\)
−0.773310 + 0.634029i \(0.781400\pi\)
\(660\) −7.75596e10 + 1.77025e10i −0.408752 + 0.0932950i
\(661\) 7.11068e10 8.91651e10i 0.372482 0.467078i −0.559896 0.828563i \(-0.689159\pi\)
0.932378 + 0.361485i \(0.117730\pi\)
\(662\) 1.20461e11 + 1.51053e11i 0.627213 + 0.786500i
\(663\) −1.91065e9 + 8.37109e9i −0.00988841 + 0.0433240i
\(664\) 1.72735e11 2.74906e11i 0.888604 1.41421i
\(665\) −6.20718e10 + 5.50902e11i −0.317401 + 2.81701i
\(666\) 3.37779e11i 1.71686i
\(667\) −8.08400e10 + 1.27333e11i −0.408435 + 0.643336i
\(668\) 6.71348e11 3.37165
\(669\) −5.96354e9 6.71929e8i −0.0297714 0.00335443i
\(670\) −3.73079e11 2.34421e11i −1.85140 1.16331i
\(671\) 2.49317e11 + 5.69049e10i 1.22988 + 0.280711i
\(672\) −1.11427e11 + 8.88605e10i −0.546406 + 0.435744i
\(673\) −1.11711e11 8.90867e10i −0.544549 0.434263i 0.312186 0.950021i \(-0.398939\pi\)
−0.856734 + 0.515758i \(0.827510\pi\)
\(674\) −3.28003e10 1.43708e11i −0.158942 0.696371i
\(675\) −3.26607e9 1.14285e9i −0.0157329 0.00550519i
\(676\) −1.02222e11 2.12267e11i −0.489507 1.01647i
\(677\) −2.65301e11 + 1.66699e11i −1.26294 + 0.793559i −0.985906 0.167300i \(-0.946495\pi\)
−0.277036 + 0.960859i \(0.589352\pi\)
\(678\) 5.71987e10 2.00147e10i 0.270687 0.0947175i
\(679\) −2.27498e11 2.27498e11i −1.07028 1.07028i
\(680\) 6.22386e10 1.29240e11i 0.291088 0.604450i
\(681\) 3.91898e9 + 3.47819e10i 0.0182215 + 0.161720i
\(682\) −4.00933e11 + 4.51743e10i −1.85325 + 0.208811i
\(683\) 5.48919e10 + 2.64346e10i 0.252247 + 0.121476i 0.555735 0.831360i \(-0.312437\pi\)
−0.303488 + 0.952835i \(0.598151\pi\)
\(684\) −6.78072e11 + 6.78072e11i −3.09778 + 3.09778i
\(685\) 2.81579e10 + 8.04707e10i 0.127891 + 0.365490i
\(686\) −1.61229e11 2.56594e11i −0.728024 1.15864i
\(687\) 4.40241e8 2.12009e8i 0.00197635 0.000951759i
\(688\) 1.24560e11 3.55973e11i 0.555938 1.58878i
\(689\) −2.71226e11 + 6.19056e10i −1.20352 + 0.274696i
\(690\) 3.45654e10 4.33437e10i 0.152491 0.191218i
\(691\) −3.84944e9 4.82705e9i −0.0168844 0.0211724i 0.773318 0.634019i \(-0.218596\pi\)
−0.790202 + 0.612846i \(0.790024\pi\)
\(692\) −1.19891e11 + 5.25275e11i −0.522831 + 2.29067i
\(693\) 1.80439e11 2.87168e11i 0.782345 1.24509i
\(694\) −3.34599e9 + 2.96965e10i −0.0144240 + 0.128017i
\(695\) 3.37161e11i 1.44510i
\(696\) 8.04785e10 + 8.12331e10i 0.342959 + 0.346175i
\(697\) 2.04312e10 0.0865690
\(698\) −6.77165e11 7.62982e10i −2.85281 0.321435i
\(699\) 2.41886e9 + 1.51987e9i 0.0101322 + 0.00636645i
\(700\) 4.77990e10 + 1.09098e10i 0.199080 + 0.0454386i
\(701\) 2.62363e11 2.09227e11i 1.08650 0.866455i 0.0948606 0.995491i \(-0.469759\pi\)
0.991640 + 0.129035i \(0.0411880\pi\)
\(702\) −1.40768e11 1.12259e11i −0.579635 0.462244i
\(703\) −8.96652e10 3.92849e11i −0.367115 1.60844i
\(704\) 4.64764e11 + 1.62628e11i 1.89209 + 0.662071i
\(705\) 1.10207e10 + 2.28848e10i 0.0446123 + 0.0926383i
\(706\) 6.00314e11 3.77202e11i 2.41635 1.51829i
\(707\) −8.96795e10 + 3.13802e10i −0.358935 + 0.125597i
\(708\) 5.29554e10 + 5.29554e10i 0.210755 + 0.210755i
\(709\) −1.28036e11 + 2.65869e11i −0.506694 + 1.05216i 0.478079 + 0.878317i \(0.341333\pi\)
−0.984773 + 0.173845i \(0.944381\pi\)
\(710\) −6.16101e10 5.46805e11i −0.242448 2.15178i
\(711\) 1.45664e11 1.64124e10i 0.569998 0.0642233i
\(712\) 8.58154e10 + 4.13265e10i 0.333922 + 0.160808i
\(713\) 1.42911e11 1.42911e11i 0.552978 0.552978i
\(714\) −9.40238e9 2.68705e10i −0.0361780 0.103391i
\(715\) 1.64908e11 + 2.62449e11i 0.630982 + 1.00420i
\(716\) −1.31666e11 + 6.34068e10i −0.500980 + 0.241259i
\(717\) 6.55938e8 1.87456e9i 0.00248191 0.00709289i
\(718\) 3.89125e11 8.88152e10i 1.46417 0.334187i
\(719\) 1.31127e11 1.64428e11i 0.490654 0.615261i −0.473439 0.880827i \(-0.656987\pi\)
0.964093 + 0.265566i \(0.0855589\pi\)
\(720\) 4.97590e11 + 6.23958e11i 1.85158 + 2.32180i
\(721\) 8.35578e10 3.66091e11i 0.309205 1.35471i
\(722\) −5.74054e11 + 9.13602e11i −2.11254 + 3.36208i
\(723\) −4.45458e9 + 3.95355e10i −0.0163025 + 0.144689i
\(724\) 1.05423e12i 3.83692i
\(725\) 1.63980e9 1.39675e10i 0.00593524 0.0505551i
\(726\) −6.20855e9 −0.0223482
\(727\) 5.20785e10 + 5.86784e9i 0.186432 + 0.0210059i 0.204687 0.978827i \(-0.434382\pi\)
−0.0182546 + 0.999833i \(0.505811\pi\)
\(728\) 1.31513e12 + 8.26354e11i 4.68214 + 2.94198i
\(729\) 2.30855e11 + 5.26911e10i 0.817388 + 0.186564i
\(730\) 1.62309e11 1.29437e11i 0.571547 0.455793i
\(731\) 2.81245e10 + 2.24285e10i 0.0984953 + 0.0785474i
\(732\) 3.54955e10 + 1.55516e11i 0.123631 + 0.541664i
\(733\) −4.48159e11 1.56818e11i −1.55245 0.543224i −0.588311 0.808635i \(-0.700207\pi\)
−0.964135 + 0.265411i \(0.914492\pi\)
\(734\) 1.06239e11 + 2.20608e11i 0.366016 + 0.760040i
\(735\) 6.15021e10 3.86443e10i 0.210737 0.132415i
\(736\) −5.66211e11 + 1.98126e11i −1.92960 + 0.675196i
\(737\) 2.27375e11 + 2.27375e11i 0.770679 + 0.770679i
\(738\) −9.16444e10 + 1.90302e11i −0.308945 + 0.641530i
\(739\) 1.51961e10 + 1.34869e11i 0.0509510 + 0.452203i 0.993123 + 0.117074i \(0.0373514\pi\)
−0.942172 + 0.335129i \(0.891220\pi\)
\(740\) −7.31090e11 + 8.23741e10i −2.43806 + 0.274703i
\(741\) −9.54067e10 4.59455e10i −0.316451 0.152395i
\(742\) 6.52215e11 6.52215e11i 2.15167 2.15167i
\(743\) 1.62652e11 + 4.64833e11i 0.533709 + 1.52525i 0.823017 + 0.568016i \(0.192289\pi\)
−0.289308 + 0.957236i \(0.593425\pi\)
\(744\) −8.15211e10 1.29740e11i −0.266059 0.423431i
\(745\) −2.51236e11 + 1.20989e11i −0.815561 + 0.392753i
\(746\) 8.16462e10 2.33331e11i 0.263621 0.753387i
\(747\) −1.67975e11 + 3.83391e10i −0.539463 + 0.123129i
\(748\) −1.07206e11 + 1.34432e11i −0.342461 + 0.429433i
\(749\) −3.93403e11 4.93311e11i −1.25000 1.56745i
\(750\) 2.14470e10 9.39655e10i 0.0677831 0.296977i
\(751\) 2.10239e10 3.34594e10i 0.0660927 0.105186i −0.812043 0.583598i \(-0.801645\pi\)
0.878136 + 0.478412i \(0.158787\pi\)
\(752\) 6.44421e10 5.71940e11i 0.201511 1.78846i
\(753\) 2.39370e10i 0.0744544i
\(754\) 3.20575e11 6.57811e11i 0.991847 2.03524i
\(755\) −5.69999e11 −1.75423
\(756\) 4.26401e11 + 4.80439e10i 1.30536 + 0.147079i
\(757\) −4.54685e11 2.85698e11i −1.38461 0.870008i −0.385988 0.922504i \(-0.626139\pi\)
−0.998621 + 0.0524963i \(0.983282\pi\)
\(758\) −5.00723e11 1.14287e11i −1.51677 0.346193i
\(759\) −3.16319e10 + 2.52256e10i −0.0953144 + 0.0760107i
\(760\) 1.38312e12 + 1.10300e12i 4.14577 + 3.30614i
\(761\) 8.21451e10 + 3.59901e11i 0.244931 + 1.07311i 0.936463 + 0.350766i \(0.114079\pi\)
−0.691533 + 0.722345i \(0.743064\pi\)
\(762\) −1.54839e11 5.41805e10i −0.459262 0.160703i