Properties

Label 43.10.g.a.9.20
Level 43
Weight 10
Character 43.9
Analytic conductor 22.147
Analytic rank 0
Dimension 384
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(32\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.20
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.20

$q$-expansion

\(f(q)\) \(=\) \(q+(6.85017 + 8.58985i) q^{2} +(188.212 + 28.3684i) q^{3} +(87.0701 - 381.479i) q^{4} +(-1245.58 - 849.221i) q^{5} +(1045.61 + 1811.04i) q^{6} +(-1101.80 + 1908.38i) q^{7} +(8941.47 - 4305.99i) q^{8} +(15810.5 + 4876.89i) q^{9} +O(q^{10})\) \(q+(6.85017 + 8.58985i) q^{2} +(188.212 + 28.3684i) q^{3} +(87.0701 - 381.479i) q^{4} +(-1245.58 - 849.221i) q^{5} +(1045.61 + 1811.04i) q^{6} +(-1101.80 + 1908.38i) q^{7} +(8941.47 - 4305.99i) q^{8} +(15810.5 + 4876.89i) q^{9} +(-1237.75 - 16516.6i) q^{10} +(-10838.0 - 47484.5i) q^{11} +(27209.6 - 69329.0i) q^{12} +(4977.27 - 66417.1i) q^{13} +(-23940.2 + 3608.41i) q^{14} +(-210342. - 195169. i) q^{15} +(-82262.0 - 39615.3i) q^{16} +(129700. - 88428.0i) q^{17} +(66412.8 + 169217. i) q^{18} +(-57433.2 + 17715.8i) q^{19} +(-432413. + 401220. i) q^{20} +(-261510. + 327923. i) q^{21} +(333642. - 418374. i) q^{22} +(404596. - 375410. i) q^{23} +(1.80505e6 - 556783. i) q^{24} +(116732. + 297429. i) q^{25} +(604608. - 412215. i) q^{26} +(-538037. - 259105. i) q^{27} +(632073. + 586478. i) q^{28} +(-1.73200e6 + 261057. i) q^{29} +(235591. - 3.14374e6i) q^{30} +(2.12104e6 - 5.40432e6i) q^{31} +(-1.35390e6 - 5.93183e6i) q^{32} +(-692788. - 9.24462e6i) q^{33} +(1.64805e6 + 508357. i) q^{34} +(2.99302e6 - 1.44136e6i) q^{35} +(3.23705e6 - 5.60674e6i) q^{36} +(7.31086e6 + 1.26628e7i) q^{37} +(-545603. - 371986. i) q^{38} +(2.82093e6 - 1.23593e7i) q^{39} +(-1.47940e7 - 2.22984e6i) q^{40} +(1.46199e7 + 1.83328e7i) q^{41} -4.60820e6 q^{42} +(2.07918e7 - 8.38421e6i) q^{43} -1.90580e7 q^{44} +(-1.55516e7 - 1.95011e7i) q^{45} +(5.99627e6 + 903792. i) q^{46} +(1.68994e6 - 7.40412e6i) q^{47} +(-1.43589e7 - 9.78971e6i) q^{48} +(1.77489e7 + 3.07419e7i) q^{49} +(-1.75523e6 + 3.04016e6i) q^{50} +(2.69197e7 - 1.29638e7i) q^{51} +(-2.49034e7 - 7.68167e6i) q^{52} +(-1.38852e6 - 1.85285e7i) q^{53} +(-1.45997e6 - 6.39656e6i) q^{54} +(-2.68252e7 + 6.83496e7i) q^{55} +(-1.63429e6 + 2.18081e7i) q^{56} +(-1.13122e7 + 1.70504e6i) q^{57} +(-1.41069e7 - 1.30893e7i) q^{58} +(4.63857e7 + 2.23382e7i) q^{59} +(-9.27673e7 + 6.32477e7i) q^{60} +(3.45240e6 + 8.79657e6i) q^{61} +(6.09518e7 - 1.88011e7i) q^{62} +(-2.67270e7 + 2.47990e7i) q^{63} +(1.25324e7 - 1.57151e7i) q^{64} +(-6.26024e7 + 7.85009e7i) q^{65} +(7.46641e7 - 6.92782e7i) q^{66} +(-1.81769e8 + 5.60685e7i) q^{67} +(-2.24405e7 - 5.71773e7i) q^{68} +(8.67997e7 - 5.91790e7i) q^{69} +(3.28838e7 + 1.58360e7i) q^{70} +(3.72547e7 + 3.45673e7i) q^{71} +(1.62369e8 - 2.44732e7i) q^{72} +(-2.12807e7 + 2.83971e8i) q^{73} +(-5.86907e7 + 1.49541e8i) q^{74} +(1.35329e7 + 5.92913e7i) q^{75} +(1.75749e6 + 2.34521e7i) q^{76} +(1.02560e8 + 3.16355e7i) q^{77} +(1.25488e8 - 6.04320e7i) q^{78} +(-2.80886e8 + 4.86509e8i) q^{79} +(6.88216e7 + 1.19202e8i) q^{80} +(-3.62993e8 - 2.47484e8i) q^{81} +(-5.73269e7 + 2.51166e8i) q^{82} +(3.37431e8 + 5.08595e7i) q^{83} +(1.02326e8 + 1.28313e8i) q^{84} -2.36647e8 q^{85} +(2.14446e8 + 1.21165e8i) q^{86} -3.33389e8 q^{87} +(-3.01376e8 - 3.77913e8i) q^{88} +(5.78165e7 + 8.71443e6i) q^{89} +(6.09803e7 - 2.67172e8i) q^{90} +(1.21265e8 + 8.26770e7i) q^{91} +(-1.07983e8 - 1.87032e8i) q^{92} +(5.52517e8 - 9.56988e8i) q^{93} +(7.51767e7 - 3.62032e7i) q^{94} +(8.65822e7 + 2.67071e7i) q^{95} +(-8.65440e7 - 1.15485e9i) q^{96} +(-3.32636e8 - 1.45737e9i) q^{97} +(-1.42486e8 + 3.63048e8i) q^{98} +(6.02222e7 - 8.03609e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + O(q^{10}) \) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + 6223q^{10} + 180668q^{11} - 270774q^{12} + 11245q^{13} - 271206q^{14} - 835123q^{15} - 6169448q^{16} - 65194q^{17} - 466218q^{18} - 1417919q^{19} + 5877261q^{20} + 3242929q^{21} - 4296822q^{22} - 2544899q^{23} - 6043976q^{24} + 9428207q^{25} - 11482629q^{26} + 20117988q^{27} + 7310292q^{28} - 5289921q^{29} + 23977480q^{30} - 47539873q^{31} + 18747558q^{32} - 68064193q^{33} - 73743233q^{34} - 15006505q^{35} - 203628199q^{36} + 62563960q^{37} + 108303102q^{38} + 70931426q^{39} + 14772713q^{40} - 35636128q^{41} + 29601006q^{42} - 207110915q^{43} + 367809332q^{44} + 122079484q^{45} + 164249271q^{46} + 25529106q^{47} + 191670995q^{48} - 815972056q^{49} - 210640197q^{50} - 392161947q^{51} - 873472922q^{52} + 87568125q^{53} + 627150582q^{54} + 628156420q^{55} + 725546751q^{56} - 402646583q^{57} - 677654606q^{58} + 552834314q^{59} + 990764675q^{60} + 376844345q^{61} + 76529685q^{62} - 505887225q^{63} + 621236102q^{64} + 8885906q^{65} + 895281647q^{66} + 789662056q^{67} - 2265959151q^{68} - 2055955619q^{69} + 3236566615q^{70} + 635670789q^{71} - 1964730073q^{72} + 1333013552q^{73} - 5184014638q^{74} + 720042326q^{75} + 477329288q^{76} + 2282266995q^{77} + 5133145036q^{78} + 2903853142q^{79} + 6779574014q^{80} + 3699743739q^{81} - 1268184088q^{82} - 3074947634q^{83} - 1313116801q^{84} + 1946616146q^{85} - 10088814540q^{86} - 6085081326q^{87} - 8012630430q^{88} - 1632065068q^{89} + 3316166089q^{90} + 5386571784q^{91} + 2280339030q^{92} + 2459095364q^{93} - 5048567488q^{94} - 1597173221q^{95} - 10288936616q^{96} - 4337315288q^{97} - 14989446392q^{98} - 5338096561q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.85017 + 8.58985i 0.302738 + 0.379621i 0.909810 0.415026i \(-0.136227\pi\)
−0.607072 + 0.794647i \(0.707656\pi\)
\(3\) 188.212 + 28.3684i 1.34153 + 0.202204i 0.780275 0.625436i \(-0.215079\pi\)
0.561259 + 0.827640i \(0.310317\pi\)
\(4\) 87.0701 381.479i 0.170059 0.745077i
\(5\) −1245.58 849.221i −0.891263 0.607653i 0.0287300 0.999587i \(-0.490854\pi\)
−0.919993 + 0.391934i \(0.871806\pi\)
\(6\) 1045.61 + 1811.04i 0.329372 + 0.570490i
\(7\) −1101.80 + 1908.38i −0.173445 + 0.300416i −0.939622 0.342214i \(-0.888823\pi\)
0.766177 + 0.642630i \(0.222157\pi\)
\(8\) 8941.47 4305.99i 0.771799 0.371679i
\(9\) 15810.5 + 4876.89i 0.803256 + 0.247772i
\(10\) −1237.75 16516.6i −0.0391411 0.522302i
\(11\) −10838.0 47484.5i −0.223194 0.977879i −0.955056 0.296425i \(-0.904205\pi\)
0.731862 0.681453i \(-0.238652\pi\)
\(12\) 27209.6 69329.0i 0.378797 0.965159i
\(13\) 4977.27 66417.1i 0.0483333 0.644963i −0.919455 0.393196i \(-0.871369\pi\)
0.967788 0.251767i \(-0.0810116\pi\)
\(14\) −23940.2 + 3608.41i −0.166553 + 0.0251038i
\(15\) −210342. 195169.i −1.07279 0.995404i
\(16\) −82262.0 39615.3i −0.313804 0.151120i
\(17\) 129700. 88428.0i 0.376635 0.256785i −0.360176 0.932884i \(-0.617283\pi\)
0.736811 + 0.676099i \(0.236331\pi\)
\(18\) 66412.8 + 169217.i 0.149117 + 0.379943i
\(19\) −57433.2 + 17715.8i −0.101105 + 0.0311867i −0.344895 0.938641i \(-0.612085\pi\)
0.243790 + 0.969828i \(0.421609\pi\)
\(20\) −432413. + 401220.i −0.604315 + 0.560723i
\(21\) −261510. + 327923.i −0.293428 + 0.367947i
\(22\) 333642. 418374.i 0.303654 0.380770i
\(23\) 404596. 375410.i 0.301472 0.279725i −0.514902 0.857249i \(-0.672172\pi\)
0.816373 + 0.577524i \(0.195981\pi\)
\(24\) 1.80505e6 556783.i 1.11055 0.342559i
\(25\) 116732. + 297429.i 0.0597670 + 0.152284i
\(26\) 604608. 412215.i 0.259474 0.176906i
\(27\) −538037. 259105.i −0.194839 0.0938293i
\(28\) 632073. + 586478.i 0.194337 + 0.180319i
\(29\) −1.73200e6 + 261057.i −0.454734 + 0.0685401i −0.372416 0.928066i \(-0.621470\pi\)
−0.0823179 + 0.996606i \(0.526232\pi\)
\(30\) 235591. 3.14374e6i 0.0531023 0.708601i
\(31\) 2.12104e6 5.40432e6i 0.412497 1.05103i −0.562102 0.827068i \(-0.690007\pi\)
0.974599 0.223958i \(-0.0718978\pi\)
\(32\) −1.35390e6 5.93183e6i −0.228251 1.00003i
\(33\) −692788. 9.24462e6i −0.101692 1.35699i
\(34\) 1.64805e6 + 508357.i 0.211503 + 0.0652399i
\(35\) 2.99302e6 1.44136e6i 0.337134 0.162355i
\(36\) 3.23705e6 5.60674e6i 0.321209 0.556351i
\(37\) 7.31086e6 + 1.26628e7i 0.641299 + 1.11076i 0.985143 + 0.171736i \(0.0549377\pi\)
−0.343843 + 0.939027i \(0.611729\pi\)
\(38\) −545603. 371986.i −0.0424474 0.0289401i
\(39\) 2.82093e6 1.23593e7i 0.195255 0.855467i
\(40\) −1.47940e7 2.22984e6i −0.913728 0.137722i
\(41\) 1.46199e7 + 1.83328e7i 0.808011 + 1.01321i 0.999497 + 0.0317185i \(0.0100980\pi\)
−0.191486 + 0.981495i \(0.561331\pi\)
\(42\) −4.60820e6 −0.228512
\(43\) 2.07918e7 8.38421e6i 0.927435 0.373985i
\(44\) −1.90580e7 −0.766551
\(45\) −1.55516e7 1.95011e7i −0.565353 0.708930i
\(46\) 5.99627e6 + 903792.i 0.197456 + 0.0297617i
\(47\) 1.68994e6 7.40412e6i 0.0505163 0.221326i −0.943369 0.331746i \(-0.892362\pi\)
0.993885 + 0.110420i \(0.0352194\pi\)
\(48\) −1.43589e7 9.78971e6i −0.390422 0.266185i
\(49\) 1.77489e7 + 3.07419e7i 0.439833 + 0.761814i
\(50\) −1.75523e6 + 3.04016e6i −0.0397164 + 0.0687909i
\(51\) 2.69197e7 1.29638e7i 0.557191 0.268329i
\(52\) −2.49034e7 7.68167e6i −0.472327 0.145694i
\(53\) −1.38852e6 1.85285e7i −0.0241719 0.322552i −0.996162 0.0875296i \(-0.972103\pi\)
0.971990 0.235022i \(-0.0755163\pi\)
\(54\) −1.45997e6 6.39656e6i −0.0233654 0.102370i
\(55\) −2.68252e7 + 6.83496e7i −0.395286 + 1.00717i
\(56\) −1.63429e6 + 2.18081e7i −0.0222066 + 0.296327i
\(57\) −1.13122e7 + 1.70504e6i −0.141942 + 0.0213943i
\(58\) −1.41069e7 1.30893e7i −0.163684 0.151877i
\(59\) 4.63857e7 + 2.23382e7i 0.498368 + 0.240001i 0.666143 0.745824i \(-0.267944\pi\)
−0.167775 + 0.985825i \(0.553658\pi\)
\(60\) −9.27673e7 + 6.32477e7i −0.924090 + 0.630034i
\(61\) 3.45240e6 + 8.79657e6i 0.0319254 + 0.0813447i 0.945947 0.324320i \(-0.105135\pi\)
−0.914022 + 0.405664i \(0.867040\pi\)
\(62\) 6.09518e7 1.88011e7i 0.523870 0.161593i
\(63\) −2.67270e7 + 2.47990e7i −0.213756 + 0.198336i
\(64\) 1.25324e7 1.57151e7i 0.0933735 0.117087i
\(65\) −6.26024e7 + 7.85009e7i −0.434991 + 0.545462i
\(66\) 7.46641e7 6.92782e7i 0.484356 0.449416i
\(67\) −1.81769e8 + 5.60685e7i −1.10201 + 0.339924i −0.791822 0.610752i \(-0.790867\pi\)
−0.310185 + 0.950676i \(0.600391\pi\)
\(68\) −2.24405e7 5.71773e7i −0.127275 0.324290i
\(69\) 8.67997e7 5.91790e7i 0.460996 0.314302i
\(70\) 3.28838e7 + 1.58360e7i 0.163697 + 0.0788322i
\(71\) 3.72547e7 + 3.45673e7i 0.173988 + 0.161437i 0.762360 0.647153i \(-0.224041\pi\)
−0.588372 + 0.808590i \(0.700231\pi\)
\(72\) 1.62369e8 2.44732e7i 0.712043 0.107323i
\(73\) −2.12807e7 + 2.83971e8i −0.0877067 + 1.17036i 0.763598 + 0.645692i \(0.223431\pi\)
−0.851304 + 0.524672i \(0.824188\pi\)
\(74\) −5.86907e7 + 1.49541e8i −0.227524 + 0.579721i
\(75\) 1.35329e7 + 5.92913e7i 0.0493871 + 0.216379i
\(76\) 1.75749e6 + 2.34521e7i 0.00604271 + 0.0806344i
\(77\) 1.02560e8 + 3.16355e7i 0.332483 + 0.102557i
\(78\) 1.25488e8 6.04320e7i 0.383864 0.184859i
\(79\) −2.80886e8 + 4.86509e8i −0.811351 + 1.40530i 0.100568 + 0.994930i \(0.467934\pi\)
−0.911919 + 0.410371i \(0.865399\pi\)
\(80\) 6.88216e7 + 1.19202e8i 0.187854 + 0.325372i
\(81\) −3.62993e8 2.47484e8i −0.936947 0.638800i
\(82\) −5.73269e7 + 2.51166e8i −0.140022 + 0.613476i
\(83\) 3.37431e8 + 5.08595e7i 0.780428 + 0.117631i 0.527161 0.849766i \(-0.323257\pi\)
0.253268 + 0.967396i \(0.418495\pi\)
\(84\) 1.02326e8 + 1.28313e8i 0.224249 + 0.281199i
\(85\) −2.36647e8 −0.491717
\(86\) 2.14446e8 + 1.21165e8i 0.422742 + 0.238854i
\(87\) −3.33389e8 −0.623900
\(88\) −3.01376e8 3.77913e8i −0.535718 0.671769i
\(89\) 5.78165e7 + 8.71443e6i 0.0976780 + 0.0147226i 0.197699 0.980263i \(-0.436653\pi\)
−0.100021 + 0.994985i \(0.531891\pi\)
\(90\) 6.09803e7 2.67172e8i 0.0979712 0.429240i
\(91\) 1.21265e8 + 8.26770e7i 0.185374 + 0.126386i
\(92\) −1.07983e8 1.87032e8i −0.157148 0.272189i
\(93\) 5.52517e8 9.56988e8i 0.765901 1.32658i
\(94\) 7.51767e7 3.62032e7i 0.0993134 0.0478268i
\(95\) 8.65822e7 + 2.67071e7i 0.109062 + 0.0336411i
\(96\) −8.65440e7 1.15485e9i −0.103996 1.38773i
\(97\) −3.32636e8 1.45737e9i −0.381501 1.67147i −0.692781 0.721148i \(-0.743615\pi\)
0.311280 0.950318i \(-0.399242\pi\)
\(98\) −1.42486e8 + 3.63048e8i −0.156046 + 0.397600i
\(99\) 6.02222e7 8.03609e8i 0.0630083 0.840788i
\(100\) 1.23627e8 1.86338e7i 0.123627 0.0186338i
\(101\) −5.27294e8 4.89257e8i −0.504205 0.467833i 0.386582 0.922255i \(-0.373656\pi\)
−0.890787 + 0.454421i \(0.849846\pi\)
\(102\) 2.95762e8 + 1.42431e8i 0.270546 + 0.130288i
\(103\) 8.81565e8 6.01041e8i 0.771768 0.526182i −0.112225 0.993683i \(-0.535798\pi\)
0.883993 + 0.467500i \(0.154845\pi\)
\(104\) −2.41487e8 6.15299e8i −0.202415 0.515746i
\(105\) 6.04211e8 1.86374e8i 0.485106 0.149635i
\(106\) 1.49646e8 1.38851e8i 0.115130 0.106825i
\(107\) −4.58672e8 + 5.75157e8i −0.338279 + 0.424189i −0.921653 0.388015i \(-0.873161\pi\)
0.583374 + 0.812204i \(0.301732\pi\)
\(108\) −1.45690e8 + 1.82689e8i −0.103044 + 0.129213i
\(109\) 5.31046e8 4.92739e8i 0.360341 0.334347i −0.479138 0.877739i \(-0.659051\pi\)
0.839479 + 0.543392i \(0.182860\pi\)
\(110\) −7.70870e8 + 2.37782e8i −0.502012 + 0.154850i
\(111\) 1.01677e9 + 2.59069e9i 0.635725 + 1.61980i
\(112\) 1.66237e8 1.13339e8i 0.0998269 0.0680608i
\(113\) 2.44228e9 + 1.17614e9i 1.40910 + 0.678588i 0.974985 0.222269i \(-0.0713463\pi\)
0.434116 + 0.900857i \(0.357061\pi\)
\(114\) −9.21365e7 8.54902e7i −0.0510928 0.0474072i
\(115\) −8.22762e8 + 1.24011e8i −0.438666 + 0.0661183i
\(116\) −5.12177e7 + 6.83452e8i −0.0262639 + 0.350467i
\(117\) 4.02602e8 1.02581e9i 0.198627 0.506094i
\(118\) 1.25869e8 + 5.51467e8i 0.0597652 + 0.261849i
\(119\) 2.58502e7 + 3.44947e8i 0.0118169 + 0.157685i
\(120\) −2.72116e9 8.39367e8i −1.19795 0.369518i
\(121\) −1.28799e7 + 6.20265e6i −0.00546235 + 0.00263053i
\(122\) −5.19116e7 + 8.99136e7i −0.0212151 + 0.0367457i
\(123\) 2.23157e9 + 3.86520e9i 0.879099 + 1.52264i
\(124\) −1.87696e9 1.27969e9i −0.712946 0.486078i
\(125\) −5.48005e8 + 2.40097e9i −0.200766 + 0.879612i
\(126\) −3.96104e8 5.97031e7i −0.140004 0.0211023i
\(127\) −1.29812e9 1.62779e9i −0.442789 0.555240i 0.509487 0.860479i \(-0.329835\pi\)
−0.952276 + 0.305238i \(0.901264\pi\)
\(128\) −2.89436e9 −0.953033
\(129\) 4.15111e9 9.88181e8i 1.31981 0.314183i
\(130\) −1.10315e9 −0.338757
\(131\) 1.12810e9 + 1.41460e9i 0.334679 + 0.419674i 0.920486 0.390777i \(-0.127794\pi\)
−0.585806 + 0.810451i \(0.699222\pi\)
\(132\) −3.58695e9 5.40646e8i −1.02835 0.154999i
\(133\) 2.94716e7 1.29124e8i 0.00816717 0.0357827i
\(134\) −1.72677e9 1.17729e9i −0.462662 0.315437i
\(135\) 4.50129e8 + 7.79647e8i 0.116637 + 0.202021i
\(136\) 7.78940e8 1.34916e9i 0.195245 0.338174i
\(137\) 2.96342e9 1.42711e9i 0.718704 0.346110i −0.0385263 0.999258i \(-0.512266\pi\)
0.757230 + 0.653148i \(0.226552\pi\)
\(138\) 1.10293e9 + 3.40209e8i 0.258876 + 0.0798528i
\(139\) 3.37506e8 + 4.50370e9i 0.0766857 + 1.02330i 0.894281 + 0.447506i \(0.147688\pi\)
−0.817595 + 0.575793i \(0.804693\pi\)
\(140\) −2.89247e8 1.26727e9i −0.0636345 0.278801i
\(141\) 5.28111e8 1.34560e9i 0.112522 0.286703i
\(142\) −4.17267e7 + 5.56804e8i −0.00861225 + 0.114923i
\(143\) −3.20773e9 + 4.83487e8i −0.641483 + 0.0966880i
\(144\) −1.10740e9 1.02752e9i −0.214622 0.199140i
\(145\) 2.37904e9 + 1.14568e9i 0.446936 + 0.215233i
\(146\) −2.58504e9 + 1.76245e9i −0.470847 + 0.321018i
\(147\) 2.46845e9 + 6.28951e9i 0.436010 + 1.11094i
\(148\) 5.46715e9 1.68639e9i 0.936662 0.288922i
\(149\) 4.65658e9 4.32068e9i 0.773979 0.718147i −0.190679 0.981652i \(-0.561069\pi\)
0.964658 + 0.263505i \(0.0848785\pi\)
\(150\) −4.16601e8 + 5.22401e8i −0.0671907 + 0.0842545i
\(151\) −2.96235e9 + 3.71467e9i −0.463703 + 0.581465i −0.957617 0.288046i \(-0.906994\pi\)
0.493914 + 0.869511i \(0.335566\pi\)
\(152\) −4.37253e8 + 4.05712e8i −0.0664412 + 0.0616484i
\(153\) 2.48187e9 7.65557e8i 0.366158 0.112945i
\(154\) 4.30808e8 + 1.09768e9i 0.0617221 + 0.157265i
\(155\) −7.23138e9 + 4.93027e9i −1.00630 + 0.686086i
\(156\) −4.46920e9 2.15225e9i −0.604183 0.290959i
\(157\) −5.57066e9 5.16882e9i −0.731743 0.678958i 0.223526 0.974698i \(-0.428243\pi\)
−0.955268 + 0.295740i \(0.904434\pi\)
\(158\) −6.10316e9 + 9.19904e8i −0.779109 + 0.117432i
\(159\) 2.64288e8 3.52668e9i 0.0327937 0.437602i
\(160\) −3.35104e9 + 8.53832e9i −0.404241 + 1.02999i
\(161\) 2.70640e8 + 1.18575e9i 0.0317450 + 0.139084i
\(162\) −3.60711e8 4.81336e9i −0.0411474 0.549074i
\(163\) −4.03931e8 1.24596e8i −0.0448190 0.0138248i 0.272265 0.962222i \(-0.412227\pi\)
−0.317084 + 0.948398i \(0.602704\pi\)
\(164\) 8.26653e9 3.98095e9i 0.892331 0.429724i
\(165\) −6.98780e9 + 1.21032e10i −0.733944 + 1.27123i
\(166\) 1.87458e9 + 3.24687e9i 0.191610 + 0.331878i
\(167\) 8.81399e8 + 6.00927e8i 0.0876896 + 0.0597858i 0.606371 0.795182i \(-0.292625\pi\)
−0.518682 + 0.854968i \(0.673577\pi\)
\(168\) −9.26253e8 + 4.05818e9i −0.0897094 + 0.393042i
\(169\) 6.09960e9 + 9.19367e8i 0.575190 + 0.0866959i
\(170\) −1.62107e9 2.03276e9i −0.148861 0.186666i
\(171\) −9.94445e8 −0.0889402
\(172\) −1.38806e9 8.66164e9i −0.120929 0.754609i
\(173\) 1.29669e10 1.10060 0.550300 0.834967i \(-0.314513\pi\)
0.550300 + 0.834967i \(0.314513\pi\)
\(174\) −2.28377e9 2.86376e9i −0.188878 0.236846i
\(175\) −6.96224e8 1.04939e8i −0.0561148 0.00845795i
\(176\) −9.89555e8 + 4.33552e9i −0.0777379 + 0.340592i
\(177\) 8.09666e9 + 5.52021e9i 0.620049 + 0.422742i
\(178\) 3.21197e8 + 5.56330e8i 0.0239818 + 0.0415377i
\(179\) 1.36621e10 2.36634e10i 0.994667 1.72281i 0.408015 0.912975i \(-0.366221\pi\)
0.586652 0.809839i \(-0.300446\pi\)
\(180\) −8.79336e9 + 4.23466e9i −0.624351 + 0.300671i
\(181\) −1.56661e7 4.83237e6i −0.00108495 0.000334662i 0.294213 0.955740i \(-0.404943\pi\)
−0.295298 + 0.955405i \(0.595419\pi\)
\(182\) 1.20503e8 + 1.60800e9i 0.00814097 + 0.108634i
\(183\) 4.00239e8 + 1.75356e9i 0.0263809 + 0.115582i
\(184\) 2.00117e9 5.09891e9i 0.128708 0.327942i
\(185\) 1.64725e9 2.19810e10i 0.103392 1.37967i
\(186\) 1.20052e10 1.80950e9i 0.735465 0.110853i
\(187\) −5.60466e9 5.20036e9i −0.335168 0.310990i
\(188\) −2.67738e9 1.28936e9i −0.156314 0.0752771i
\(189\) 1.08728e9 7.41295e8i 0.0619817 0.0422584i
\(190\) 3.63693e8 + 9.26676e8i 0.0202462 + 0.0515866i
\(191\) 1.87323e10 5.77815e9i 1.01845 0.314151i 0.259812 0.965659i \(-0.416339\pi\)
0.758642 + 0.651508i \(0.225863\pi\)
\(192\) 2.80456e9 2.60225e9i 0.148939 0.138195i
\(193\) −4.49818e9 + 5.64054e9i −0.233361 + 0.292626i −0.884700 0.466162i \(-0.845636\pi\)
0.651338 + 0.758788i \(0.274208\pi\)
\(194\) 1.02400e10 1.28405e10i 0.519029 0.650842i
\(195\) −1.40095e10 + 1.29989e10i −0.693850 + 0.643799i
\(196\) 1.32728e10 4.09412e9i 0.642407 0.198156i
\(197\) −1.39450e9 3.55314e9i −0.0659663 0.168079i 0.894089 0.447889i \(-0.147824\pi\)
−0.960056 + 0.279809i \(0.909729\pi\)
\(198\) 7.31541e9 4.98756e9i 0.338256 0.230619i
\(199\) −1.85060e10 8.91204e9i −0.836517 0.402845i −0.0339614 0.999423i \(-0.510812\pi\)
−0.802555 + 0.596578i \(0.796527\pi\)
\(200\) 2.32449e9 + 2.15681e9i 0.102729 + 0.0953183i
\(201\) −3.58018e10 + 5.39625e9i −1.54711 + 0.233190i
\(202\) 5.90590e8 7.88087e9i 0.0249577 0.333038i
\(203\) 1.41013e9 3.59295e9i 0.0582809 0.148497i
\(204\) −2.60153e9 1.13981e10i −0.105170 0.460782i
\(205\) −2.64166e9 3.52505e10i −0.104468 1.39403i
\(206\) 1.12017e10 + 3.45527e9i 0.433393 + 0.133684i
\(207\) 8.22769e9 3.96225e9i 0.311467 0.149994i
\(208\) −3.04057e9 + 5.26642e9i −0.112634 + 0.195088i
\(209\) 1.46369e9 + 2.53518e9i 0.0530629 + 0.0919076i
\(210\) 5.73988e9 + 3.91338e9i 0.203665 + 0.138856i
\(211\) −6.86647e8 + 3.00840e9i −0.0238486 + 0.104487i −0.985451 0.169958i \(-0.945637\pi\)
0.961603 + 0.274445i \(0.0884941\pi\)
\(212\) −7.18915e9 1.08359e9i −0.244436 0.0368429i
\(213\) 6.03117e9 + 7.56284e9i 0.200767 + 0.251754i
\(214\) −8.08249e9 −0.263441
\(215\) −3.30178e10 7.21361e9i −1.05384 0.230239i
\(216\) −5.92654e9 −0.185250
\(217\) 7.97652e9 + 1.00022e10i 0.244199 + 0.306216i
\(218\) 7.87031e9 + 1.18626e9i 0.236014 + 0.0355734i
\(219\) −1.20611e10 + 5.28431e10i −0.354314 + 1.55235i
\(220\) 2.37383e10 + 1.61845e10i 0.683199 + 0.465797i
\(221\) −5.22758e9 9.05443e9i −0.147413 0.255327i
\(222\) −1.52886e10 + 2.64806e10i −0.422453 + 0.731709i
\(223\) −1.44815e10 + 6.97392e9i −0.392141 + 0.188845i −0.619555 0.784953i \(-0.712687\pi\)
0.227415 + 0.973798i \(0.426973\pi\)
\(224\) 1.28119e10 + 3.95195e9i 0.340015 + 0.104881i
\(225\) 3.95066e8 + 5.27179e9i 0.0102766 + 0.137131i
\(226\) 6.62718e9 + 2.90356e10i 0.168982 + 0.740359i
\(227\) −4.55471e9 + 1.16052e10i −0.113853 + 0.290092i −0.976430 0.215833i \(-0.930753\pi\)
0.862578 + 0.505925i \(0.168849\pi\)
\(228\) −3.34517e8 + 4.46382e9i −0.00819807 + 0.109396i
\(229\) −1.39656e10 + 2.10498e9i −0.335583 + 0.0505810i −0.314672 0.949200i \(-0.601895\pi\)
−0.0209107 + 0.999781i \(0.506657\pi\)
\(230\) −6.70130e9 6.21790e9i −0.157901 0.146510i
\(231\) 1.84055e10 + 8.86365e9i 0.425299 + 0.204813i
\(232\) −1.43625e10 + 9.79220e9i −0.325488 + 0.221914i
\(233\) 7.84901e9 + 1.99989e10i 0.174467 + 0.444534i 0.991182 0.132506i \(-0.0423025\pi\)
−0.816715 + 0.577041i \(0.804207\pi\)
\(234\) 1.15695e10 3.56871e9i 0.252256 0.0778107i
\(235\) −8.39269e9 + 7.78728e9i −0.179513 + 0.166564i
\(236\) 1.25604e10 1.57502e10i 0.263571 0.330508i
\(237\) −6.66677e10 + 8.35986e10i −1.37261 + 1.72120i
\(238\) −2.78597e9 + 2.58500e9i −0.0562833 + 0.0522232i
\(239\) 8.15958e10 2.51690e10i 1.61762 0.498971i 0.651848 0.758350i \(-0.273994\pi\)
0.965776 + 0.259379i \(0.0835180\pi\)
\(240\) 9.57147e9 + 2.43877e10i 0.186221 + 0.474483i
\(241\) 6.93934e10 4.73116e10i 1.32508 0.903423i 0.325960 0.945384i \(-0.394313\pi\)
0.999119 + 0.0419602i \(0.0133603\pi\)
\(242\) −1.41510e8 6.81474e7i −0.00265226 0.00127726i
\(243\) −5.26824e10 4.88821e10i −0.969254 0.899336i
\(244\) 3.65631e9 5.51100e8i 0.0660372 0.00995351i
\(245\) 3.99909e9 5.33642e10i 0.0709111 0.946243i
\(246\) −1.79148e10 + 4.56461e10i −0.311892 + 0.794687i
\(247\) 8.90771e8 + 3.90272e9i 0.0152275 + 0.0667162i
\(248\) −4.30571e9 5.74558e10i −0.0722791 0.964497i
\(249\) 6.20657e10 + 1.91447e10i 1.02319 + 0.315611i
\(250\) −2.43779e10 + 1.17398e10i −0.394699 + 0.190077i
\(251\) −2.30112e10 + 3.98565e10i −0.365937 + 0.633822i −0.988926 0.148409i \(-0.952585\pi\)
0.622989 + 0.782231i \(0.285918\pi\)
\(252\) 7.13319e9 + 1.23550e10i 0.111425 + 0.192993i
\(253\) −2.22112e10 1.51433e10i −0.340824 0.232370i
\(254\) 5.09012e9 2.23013e10i 0.0767319 0.336184i
\(255\) −4.45397e10 6.71329e9i −0.659655 0.0994270i
\(256\) −2.62435e10 3.29082e10i −0.381893 0.478878i
\(257\) −3.45448e10 −0.493950 −0.246975 0.969022i \(-0.579437\pi\)
−0.246975 + 0.969022i \(0.579437\pi\)
\(258\) 3.69241e10 + 2.88882e10i 0.518826 + 0.405912i
\(259\) −3.22205e10 −0.444922
\(260\) 2.44957e10 + 3.07166e10i 0.332437 + 0.416862i
\(261\) −2.86569e10 4.31933e9i −0.382250 0.0576148i
\(262\) −4.42347e9 + 1.93805e10i −0.0579972 + 0.254103i
\(263\) 1.10592e11 + 7.54002e10i 1.42535 + 0.971789i 0.997696 + 0.0678473i \(0.0216131\pi\)
0.427656 + 0.903941i \(0.359339\pi\)
\(264\) −4.60018e10 7.96774e10i −0.582850 1.00953i
\(265\) −1.40053e10 + 2.42579e10i −0.174456 + 0.302167i
\(266\) 1.31104e9 6.31363e8i 0.0160564 0.00773235i
\(267\) 1.06345e10 + 3.28032e9i 0.128061 + 0.0395017i
\(268\) 5.56226e9 + 7.42232e10i 0.0658634 + 0.878887i
\(269\) −2.00447e10 8.78218e10i −0.233408 1.02263i −0.946790 0.321851i \(-0.895695\pi\)
0.713383 0.700775i \(-0.247162\pi\)
\(270\) −3.61358e9 + 9.20726e9i −0.0413810 + 0.105437i
\(271\) −1.54676e9 + 2.06400e10i −0.0174205 + 0.232460i 0.981697 + 0.190451i \(0.0609950\pi\)
−0.999117 + 0.0420093i \(0.986624\pi\)
\(272\) −1.41725e10 + 2.13616e9i −0.156995 + 0.0236632i
\(273\) 2.04781e10 + 1.90009e10i 0.223130 + 0.207034i
\(274\) 3.25585e10 + 1.56794e10i 0.348969 + 0.168055i
\(275\) 1.28581e10 8.76653e9i 0.135575 0.0924338i
\(276\) −1.50179e10 3.82650e10i −0.155782 0.396927i
\(277\) −1.84669e11 + 5.69628e10i −1.88467 + 0.581343i −0.893440 + 0.449182i \(0.851715\pi\)
−0.991228 + 0.132161i \(0.957808\pi\)
\(278\) −3.63741e10 + 3.37502e10i −0.365250 + 0.338903i
\(279\) 5.98909e10 7.51008e10i 0.591755 0.742037i
\(280\) 2.05555e10 2.57758e10i 0.199856 0.250611i
\(281\) 1.32644e11 1.23075e11i 1.26914 1.17759i 0.294043 0.955792i \(-0.404999\pi\)
0.975093 0.221795i \(-0.0711914\pi\)
\(282\) 1.51762e10 4.68123e9i 0.142903 0.0440798i
\(283\) 3.99654e10 + 1.01830e11i 0.370378 + 0.943709i 0.987610 + 0.156927i \(0.0501588\pi\)
−0.617232 + 0.786781i \(0.711746\pi\)
\(284\) 1.64305e10 1.12021e10i 0.149871 0.102180i
\(285\) 1.55382e10 + 7.48279e9i 0.139508 + 0.0671834i
\(286\) −2.61266e10 2.42419e10i −0.230906 0.214250i
\(287\) −5.10942e10 + 7.70120e9i −0.444532 + 0.0670024i
\(288\) 7.52303e9 1.00388e11i 0.0644357 0.859835i
\(289\) −3.43224e10 + 8.74521e10i −0.289426 + 0.737445i
\(290\) 6.45557e9 + 2.82837e10i 0.0535974 + 0.234825i
\(291\) −2.12627e10 2.83731e11i −0.173820 2.31947i
\(292\) 1.06476e11 + 3.28435e10i 0.857096 + 0.264379i
\(293\) 7.31243e10 3.52148e10i 0.579639 0.279139i −0.121003 0.992652i \(-0.538611\pi\)
0.700642 + 0.713513i \(0.252897\pi\)
\(294\) −3.71166e10 + 6.42879e10i −0.289738 + 0.501841i
\(295\) −3.88070e10 6.72157e10i −0.298340 0.516739i
\(296\) 1.19896e11 + 8.17435e10i 0.907801 + 0.618928i
\(297\) −6.47221e9 + 2.83566e10i −0.0482668 + 0.211471i
\(298\) 6.90124e10 + 1.04019e10i 0.506937 + 0.0764084i
\(299\) −2.29199e10 2.87406e10i −0.165841 0.207958i
\(300\) 2.37967e10 0.169618
\(301\) −6.90817e9 + 4.89163e10i −0.0485081 + 0.343482i
\(302\) −5.22010e10 −0.361117
\(303\) −8.53637e10 1.07043e11i −0.581810 0.729567i
\(304\) 5.42638e9 + 8.17896e8i 0.0364401 + 0.00549246i
\(305\) 3.17000e9 1.38887e10i 0.0209754 0.0918991i
\(306\) 2.35773e10 + 1.60747e10i 0.153726 + 0.104809i
\(307\) −1.13561e11 1.96693e11i −0.729634 1.26376i −0.957038 0.289963i \(-0.906357\pi\)
0.227403 0.973801i \(-0.426976\pi\)
\(308\) 2.09982e10 3.63699e10i 0.132955 0.230284i
\(309\) 1.82972e11 8.81145e10i 1.14175 0.549837i
\(310\) −9.18865e10 2.83432e10i −0.565099 0.174310i
\(311\) −2.02362e10 2.70033e11i −0.122661 1.63680i −0.631101 0.775700i \(-0.717397\pi\)
0.508440 0.861097i \(-0.330222\pi\)
\(312\) −2.79957e10 1.22657e11i −0.167261 0.732820i
\(313\) −1.26235e10 + 3.21640e10i −0.0743411 + 0.189418i −0.963214 0.268736i \(-0.913394\pi\)
0.888873 + 0.458154i \(0.151489\pi\)
\(314\) 6.23936e9 8.32585e10i 0.0362207 0.483331i
\(315\) 5.43504e10 8.19200e9i 0.311032 0.0468805i
\(316\) 1.61136e11 + 1.49513e11i 0.909079 + 0.843502i
\(317\) −2.78535e11 1.34135e11i −1.54922 0.746064i −0.553019 0.833169i \(-0.686524\pi\)
−0.996199 + 0.0871048i \(0.972239\pi\)
\(318\) 3.21041e10 2.18882e10i 0.176051 0.120029i
\(319\) 3.11676e10 + 7.94139e10i 0.168518 + 0.429377i
\(320\) −2.89557e10 + 8.93164e9i −0.154368 + 0.0476164i
\(321\) −1.02644e11 + 9.52396e10i −0.539586 + 0.500663i
\(322\) −8.33149e9 + 1.04474e10i −0.0431888 + 0.0541570i
\(323\) −5.88252e9 + 7.37645e9i −0.0300713 + 0.0377082i
\(324\) −1.26016e11 + 1.16926e11i −0.635291 + 0.589464i
\(325\) 2.03354e10 6.27264e9i 0.101106 0.0311871i
\(326\) −1.69673e9 4.32321e9i −0.00832021 0.0211996i
\(327\) 1.13928e11 7.76745e10i 0.551016 0.375676i
\(328\) 2.09664e11 + 1.00969e11i 1.00021 + 0.481677i
\(329\) 1.22679e10 + 1.13829e10i 0.0577282 + 0.0535640i
\(330\) −1.51833e11 + 2.28851e10i −0.704778 + 0.106228i
\(331\) −2.41597e10 + 3.22388e11i −0.110628 + 1.47623i 0.615211 + 0.788363i \(0.289071\pi\)
−0.725839 + 0.687865i \(0.758548\pi\)
\(332\) 4.87820e10 1.24294e11i 0.220363 0.561475i
\(333\) 5.38333e10 + 2.35859e11i 0.239912 + 1.05112i
\(334\) 8.75860e8 + 1.16875e10i 0.00385102 + 0.0513883i
\(335\) 2.74023e11 + 8.45248e10i 1.18873 + 0.366676i
\(336\) 3.45031e10 1.66158e10i 0.147683 0.0711206i
\(337\) −1.97457e11 + 3.42006e11i −0.833948 + 1.44444i 0.0609363 + 0.998142i \(0.480591\pi\)
−0.894884 + 0.446298i \(0.852742\pi\)
\(338\) 3.38861e10 + 5.86925e10i 0.141220 + 0.244600i
\(339\) 4.26301e11 + 2.90647e11i 1.75315 + 1.19527i
\(340\) −2.06049e10 + 9.02758e10i −0.0836208 + 0.366367i
\(341\) −2.79609e11 4.21443e10i −1.11984 0.168789i
\(342\) −6.81212e9 8.54213e9i −0.0269256 0.0337636i
\(343\) −1.67146e11 −0.652039
\(344\) 1.49807e11 1.64496e11i 0.576791 0.633349i
\(345\) −1.58372e11 −0.601855
\(346\) 8.88257e10 + 1.11384e11i 0.333193 + 0.417811i
\(347\) −1.45231e11 2.18900e10i −0.537745 0.0810520i −0.125445 0.992101i \(-0.540036\pi\)
−0.412299 + 0.911049i \(0.635274\pi\)
\(348\) −2.90282e10 + 1.27181e11i −0.106100 + 0.464853i
\(349\) 1.56116e11 + 1.06438e11i 0.563291 + 0.384045i 0.811227 0.584731i \(-0.198800\pi\)
−0.247936 + 0.968776i \(0.579752\pi\)
\(350\) −3.86785e9 6.69930e9i −0.0137773 0.0238629i
\(351\) −1.98869e10 + 3.44452e10i −0.0699336 + 0.121129i
\(352\) −2.66996e11 + 1.28579e11i −0.926965 + 0.446403i
\(353\) −1.65997e11 5.12032e10i −0.569001 0.175514i −0.00311221 0.999995i \(-0.500991\pi\)
−0.565889 + 0.824482i \(0.691467\pi\)
\(354\) 8.04577e9 + 1.07363e11i 0.0272303 + 0.363364i
\(355\) −1.70484e10 7.46938e10i −0.0569712 0.249607i
\(356\) 8.35847e9 2.12970e10i 0.0275805 0.0702739i
\(357\) −4.92028e9 + 6.56566e10i −0.0160318 + 0.213930i
\(358\) 2.96853e11 4.47433e10i 0.955140 0.143964i
\(359\) −7.01541e10 6.50935e10i −0.222909 0.206830i 0.560810 0.827944i \(-0.310490\pi\)
−0.783720 + 0.621115i \(0.786680\pi\)
\(360\) −2.23026e11 1.07404e11i −0.699833 0.337022i
\(361\) −2.63632e11 + 1.79742e11i −0.816989 + 0.557014i
\(362\) −6.58065e7 1.67672e8i −0.000201410 0.000513184i
\(363\) −2.60012e9 + 8.02030e8i −0.00785983 + 0.00242444i
\(364\) 4.20981e10 3.90614e10i 0.125692 0.116625i
\(365\) 2.67661e11 3.35636e11i 0.789345 0.989807i
\(366\) −1.23211e10 + 1.54502e10i −0.0358909 + 0.0450058i
\(367\) 1.64515e11 1.52648e11i 0.473379 0.439232i −0.407052 0.913405i \(-0.633443\pi\)
0.880432 + 0.474173i \(0.157253\pi\)
\(368\) −4.81548e10 + 1.48538e10i −0.136875 + 0.0422204i
\(369\) 1.41741e11 + 3.61150e11i 0.397994 + 1.01407i
\(370\) 2.00098e11 1.36424e11i 0.555053 0.378428i
\(371\) 3.68893e10 + 1.77650e10i 0.101092 + 0.0486835i
\(372\) −3.16963e11 2.94099e11i −0.858155 0.796251i
\(373\) −6.19719e11 + 9.34077e10i −1.65770 + 0.249858i −0.910129 0.414326i \(-0.864017\pi\)
−0.747569 + 0.664184i \(0.768779\pi\)
\(374\) 6.27743e9 8.37665e10i 0.0165905 0.221385i
\(375\) −1.71253e11 + 4.36345e11i −0.447195 + 1.13943i
\(376\) −1.67715e10 7.34807e10i −0.0432739 0.189595i
\(377\) 8.71801e9 + 1.16334e11i 0.0222270 + 0.296599i
\(378\) 1.38157e10 + 4.26157e9i 0.0348064 + 0.0107363i
\(379\) 4.92663e11 2.37254e11i 1.22652 0.590659i 0.295398 0.955374i \(-0.404548\pi\)
0.931119 + 0.364715i \(0.118834\pi\)
\(380\) 1.77269e10 3.07039e10i 0.0436121 0.0755384i
\(381\) −1.98144e11 3.43195e11i −0.481746 0.834408i
\(382\) 1.77953e11 + 1.21326e11i 0.427583 + 0.291521i
\(383\) 5.61741e9 2.46115e10i 0.0133396 0.0584444i −0.967820 0.251643i \(-0.919029\pi\)
0.981160 + 0.193199i \(0.0618862\pi\)
\(384\) −5.44754e11 8.21084e10i −1.27853 0.192707i
\(385\) −1.00881e11 1.26500e11i −0.234010 0.293440i
\(386\) −7.92647e10 −0.181734
\(387\) 3.69617e11 3.11594e10i 0.837630 0.0706137i
\(388\) −5.84920e11 −1.31025
\(389\) 1.21356e11 + 1.52175e11i 0.268712 + 0.336954i 0.897819 0.440364i \(-0.145151\pi\)
−0.629107 + 0.777319i \(0.716579\pi\)
\(390\) −2.07626e11 3.12945e10i −0.454454 0.0684980i
\(391\) 1.92794e10 8.44684e10i 0.0417155 0.182767i
\(392\) 2.91075e11 + 1.98452e11i 0.622613 + 0.424490i
\(393\) 1.72193e11 + 2.98247e11i 0.364124 + 0.630681i
\(394\) 2.09683e10 3.63182e10i 0.0438360 0.0759261i
\(395\) 7.63020e11 3.67451e11i 1.57706 0.759473i
\(396\) −3.01317e11 9.29439e10i −0.615736 0.189929i
\(397\) 3.71942e10 + 4.96322e11i 0.0751481 + 1.00278i 0.899562 + 0.436794i \(0.143886\pi\)
−0.824413 + 0.565988i \(0.808495\pi\)
\(398\) −5.02165e10 2.20013e11i −0.100317 0.439516i
\(399\) 9.20995e9 2.34666e10i 0.0181919 0.0463523i
\(400\) 2.18011e9 2.90915e10i 0.00425802 0.0568193i
\(401\) 6.61735e11 9.97405e10i 1.27801 0.192629i 0.525264 0.850939i \(-0.323967\pi\)
0.752747 + 0.658310i \(0.228729\pi\)
\(402\) −2.91601e11 2.70567e11i −0.556894 0.516722i
\(403\) −3.48382e11 1.67772e11i −0.657935 0.316845i
\(404\) −2.32553e11 + 1.58552e11i −0.434316 + 0.296112i
\(405\) 2.41967e11 + 6.16522e11i 0.446898 + 1.13868i
\(406\) 4.05225e10 1.24995e10i 0.0740165 0.0228311i
\(407\) 5.22051e11 4.84393e11i 0.943057 0.875029i
\(408\) 1.84880e11 2.31832e11i 0.330307 0.414192i
\(409\) 5.71015e11 7.16030e11i 1.00900 1.26525i 0.0451047 0.998982i \(-0.485638\pi\)
0.963899 0.266268i \(-0.0857907\pi\)
\(410\) 2.84700e11 2.64163e11i 0.497577 0.461684i
\(411\) 5.98235e11 1.84531e11i 1.03415 0.318993i
\(412\) −1.52527e11 3.88631e11i −0.260800 0.664508i
\(413\) −9.37376e10 + 6.39092e10i −0.158540 + 0.108091i
\(414\) 9.03962e10 + 4.35325e10i 0.151234 + 0.0728303i
\(415\) −3.77105e11 3.49903e11i −0.624089 0.579070i
\(416\) −4.00713e11 + 6.03978e10i −0.656015 + 0.0988784i
\(417\) −6.42401e10 + 8.57225e11i −0.104039 + 1.38830i
\(418\) −1.17503e10 + 2.99393e10i −0.0188259 + 0.0479677i
\(419\) 2.49447e11 + 1.09290e12i 0.395380 + 1.73227i 0.645231 + 0.763987i \(0.276761\pi\)
−0.249852 + 0.968284i \(0.580382\pi\)
\(420\) −1.84892e10 2.46722e11i −0.0289932 0.386888i
\(421\) −5.37422e11 1.65773e11i −0.833770 0.257184i −0.151659 0.988433i \(-0.548462\pi\)
−0.682111 + 0.731249i \(0.738938\pi\)
\(422\) −3.05453e10 + 1.47098e10i −0.0468855 + 0.0225789i
\(423\) 6.28279e10 1.08821e11i 0.0954159 0.165265i
\(424\) −9.21990e10 1.59693e11i −0.138542 0.239961i
\(425\) 4.14413e10 + 2.82542e10i 0.0616145 + 0.0420081i
\(426\) −2.36491e10 + 1.03614e11i −0.0347914 + 0.152431i
\(427\) −2.05910e10 3.10360e9i −0.0299746 0.00451794i
\(428\) 1.79474e11 + 2.25053e11i 0.258526 + 0.324181i
\(429\) −6.17449e11 −0.880123
\(430\) −1.64214e11 3.33033e11i −0.231634 0.469763i
\(431\) −6.41344e11 −0.895248 −0.447624 0.894222i \(-0.647730\pi\)
−0.447624 + 0.894222i \(0.647730\pi\)
\(432\) 3.39954e10 + 4.26289e10i 0.0469617 + 0.0588881i
\(433\) 7.68593e11 + 1.15847e11i 1.05075 + 0.158376i 0.651642 0.758527i \(-0.274081\pi\)
0.399111 + 0.916902i \(0.369319\pi\)
\(434\) −3.12772e10 + 1.37034e11i −0.0423178 + 0.185407i
\(435\) 4.15262e11 + 2.83121e11i 0.556059 + 0.379115i
\(436\) −1.41731e11 2.45486e11i −0.187835 0.325340i
\(437\) −1.65866e10 + 2.87288e10i −0.0217565 + 0.0376834i
\(438\) −5.36534e11 + 2.58381e11i −0.696569 + 0.335450i
\(439\) −5.73225e11 1.76816e11i −0.736605 0.227212i −0.0963203 0.995350i \(-0.530707\pi\)
−0.640284 + 0.768138i \(0.721183\pi\)
\(440\) 5.44553e10 + 7.26655e11i 0.0692632 + 0.924254i
\(441\) 1.30693e11 + 5.72604e11i 0.164543 + 0.720909i
\(442\) 4.19664e10 1.06929e11i 0.0522999 0.133258i
\(443\) 1.07451e11 1.43384e12i 0.132555 1.76882i −0.394412 0.918934i \(-0.629052\pi\)
0.526967 0.849886i \(-0.323329\pi\)
\(444\) 1.07682e12 1.62305e11i 1.31499 0.198202i
\(445\) −6.46145e10 5.99535e10i −0.0781106 0.0724760i
\(446\) −1.59106e11 7.66213e10i −0.190405 0.0916944i
\(447\) 9.98996e11 6.81104e11i 1.18353 0.806918i
\(448\) 1.61822e10 + 4.12315e10i 0.0189795 + 0.0483591i
\(449\) −2.91683e11 + 8.99723e10i −0.338690 + 0.104472i −0.459435 0.888212i \(-0.651948\pi\)
0.120745 + 0.992684i \(0.461472\pi\)
\(450\) −4.25776e10 + 3.95062e10i −0.0489469 + 0.0454161i
\(451\) 7.12073e11 8.92911e11i 0.810457 1.01628i
\(452\) 6.61323e11 8.29272e11i 0.745230 0.934489i
\(453\) −6.62929e11 + 6.15108e11i −0.739648 + 0.686293i
\(454\) −1.30887e11 + 4.03734e10i −0.144593 + 0.0446010i
\(455\) −8.08339e10 2.05961e11i −0.0884183 0.225286i
\(456\) −9.38058e10 + 6.39557e10i −0.101599 + 0.0692688i
\(457\) 4.67910e11 + 2.25334e11i 0.501810 + 0.241659i 0.667625 0.744498i \(-0.267311\pi\)
−0.165815 + 0.986157i \(0.553025\pi\)
\(458\) −1.13748e11 1.05543e11i −0.120795 0.112082i
\(459\) −9.26955e10 + 1.39716e10i −0.0974769 + 0.0146923i
\(460\) −2.43302e10 + 3.24664e11i −0.0253359 + 0.338084i
\(461\) 3.94481e10 1.00512e11i 0.0406792 0.103649i −0.909090 0.416599i \(-0.863222\pi\)
0.949770 + 0.312950i \(0.101317\pi\)
\(462\) 4.99439e10 + 2.18818e11i 0.0510027 + 0.223457i
\(463\) −5.01983e10 6.69850e11i −0.0507662 0.677428i −0.963300 0.268427i \(-0.913496\pi\)
0.912534 0.409001i \(-0.134123\pi\)
\(464\) 1.52820e11 + 4.71386e10i 0.153055 + 0.0472113i
\(465\) −1.50090e12 + 7.22794e11i −1.48872 + 0.716929i
\(466\) −1.18021e11 + 2.04418e11i −0.115937 + 0.200809i
\(467\) 1.84249e11 + 3.19128e11i 0.179258 + 0.310484i 0.941627 0.336659i \(-0.109297\pi\)
−0.762369 + 0.647143i \(0.775964\pi\)
\(468\) −3.56271e11 2.42902e11i −0.343301 0.234058i
\(469\) 9.32743e10 4.08661e11i 0.0890193 0.390019i
\(470\) −1.24383e11 1.87477e10i −0.117577 0.0177218i
\(471\) −9.01835e11 1.13087e12i −0.844370 1.05881i
\(472\) 5.10945e11 0.473843
\(473\) −6.23462e11 8.96419e11i −0.572710 0.823447i
\(474\) −1.17478e12 −1.06895
\(475\) −1.19735e10 1.50143e10i −0.0107920 0.0135327i
\(476\) 1.33841e11 + 2.01733e10i 0.119497 + 0.0180113i
\(477\) 6.84084e10 2.99717e11i 0.0605029 0.265081i
\(478\) 7.75143e11 + 5.28484e11i 0.679136 + 0.463027i
\(479\) −6.55511e11 1.13538e12i −0.568945 0.985442i −0.996671 0.0815331i \(-0.974018\pi\)
0.427726 0.903909i \(-0.359315\pi\)
\(480\) −8.72925e11 + 1.51195e12i −0.750570 + 1.30003i
\(481\) 8.77413e11 4.22540e11i 0.747397 0.359928i
\(482\) 8.81757e11 + 2.71986e11i 0.744110 + 0.229528i
\(483\) 1.72998e10 + 2.30850e11i 0.0144637 + 0.193005i
\(484\) 1.24472e9 + 5.45349e9i 0.00103102 + 0.00451721i
\(485\) −8.23307e11 + 2.09775e12i −0.675653 + 1.72154i
\(486\) 5.90063e10 7.87385e11i 0.0479773 0.640212i
\(487\) 4.27467e11 6.44303e10i 0.344368 0.0519051i 0.0254184 0.999677i \(-0.491908\pi\)
0.318949 + 0.947772i \(0.396670\pi\)
\(488\) 6.87474e10 + 6.37883e10i 0.0548741 + 0.0509157i
\(489\) −7.24900e10 3.49094e10i −0.0573308 0.0276091i
\(490\) 4.85785e11 3.31202e11i 0.380681 0.259544i
\(491\) 8.19725e11 + 2.08862e12i 0.636504 + 1.62179i 0.775393 + 0.631478i \(0.217552\pi\)
−0.138889 + 0.990308i \(0.544353\pi\)
\(492\) 1.66879e12 5.14755e11i 1.28399 0.396057i
\(493\) −2.01556e11 + 1.87017e11i −0.153668 + 0.142583i
\(494\) −2.74219e10 + 3.43859e10i −0.0207169 + 0.0259782i
\(495\) −7.57453e11 + 9.49816e11i −0.567064 + 0.711076i
\(496\) −3.88574e11 + 3.60544e11i −0.288275 + 0.267480i
\(497\) −1.07015e11 + 3.30097e10i −0.0786757 + 0.0242682i
\(498\) 2.60711e11 + 6.64280e11i 0.189944 + 0.483971i
\(499\) −4.58113e11 + 3.12336e11i −0.330766 + 0.225512i −0.717303 0.696762i \(-0.754624\pi\)
0.386537 + 0.922274i \(0.373671\pi\)
\(500\) 8.68204e11 + 4.18105e11i 0.621236 + 0.299171i
\(501\) 1.48843e11 + 1.38106e11i 0.105550 + 0.0979359i
\(502\) −4.99992e11 + 7.53616e10i −0.351395 + 0.0529643i
\(503\) −1.58311e11 + 2.11251e12i −0.110269 + 1.47144i 0.618017 + 0.786165i \(0.287936\pi\)
−0.728286 + 0.685274i \(0.759683\pi\)
\(504\) −1.32194e11 + 3.36826e11i −0.0912590 + 0.232524i
\(505\) 2.41298e11 + 1.05720e12i 0.165099 + 0.723344i
\(506\) −2.20716e10 2.94525e11i −0.0149678 0.199731i
\(507\) 1.12194e12 + 3.46072e11i 0.754107 + 0.232611i
\(508\) −7.33994e11 + 3.53473e11i −0.488997 + 0.235488i
\(509\) −1.09618e12 + 1.89865e12i −0.723858 + 1.25376i 0.235584 + 0.971854i \(0.424300\pi\)
−0.959442 + 0.281905i \(0.909034\pi\)
\(510\) −2.47439e11 4.28577e11i −0.161958 0.280519i
\(511\) −5.18477e11 3.53492e11i −0.336384 0.229343i
\(512\) −2.26852e11 + 9.93903e11i −0.145891 + 0.639189i
\(513\) 3.54914e10 + 5.34947e9i 0.0226253 + 0.00341022i
\(514\) −2.36638e11 2.96734e11i −0.149537 0.187514i
\(515\) −1.60847e12 −1.00758
\(516\) −1.55330e10 1.66960e12i −0.00964563 1.03679i
\(517\) −3.69897e11 −0.227705
\(518\) −2.20716e11 2.76769e11i −0.134695 0.168902i
\(519\) 2.44053e12 + 3.67851e11i 1.47649 + 0.222546i
\(520\) −2.21734e11 + 9.71478e11i −0.132989 + 0.582664i
\(521\) −1.80389e12 1.22987e12i −1.07261 0.731290i −0.107779 0.994175i \(-0.534374\pi\)
−0.964827 + 0.262885i \(0.915326\pi\)
\(522\) −1.59202e11 2.75747e11i −0.0938496 0.162552i
\(523\) −7.49974e11 + 1.29899e12i −0.438317 + 0.759188i −0.997560 0.0698162i \(-0.977759\pi\)
0.559243 + 0.829004i \(0.311092\pi\)
\(524\) 6.37864e11 3.07179e11i 0.369605 0.177992i
\(525\) −1.28061e11 3.95015e10i −0.0735697 0.0226933i
\(526\) 1.09897e11 + 1.46647e12i 0.0625964 + 0.835291i
\(527\) −2.02794e11 8.88500e11i −0.114527 0.501776i
\(528\) −3.09238e11 + 7.87925e11i −0.173157 + 0.441197i
\(529\) −1.11835e11 + 1.49234e12i −0.0620909 + 0.828546i
\(530\) −3.04310e11 + 4.58674e10i −0.167523 + 0.0252501i
\(531\) 6.24440e11 + 5.79395e11i 0.340852 + 0.316264i
\(532\) −4.66919e10 2.24856e10i −0.0252720 0.0121703i
\(533\) 1.29038e12 8.79764e11i 0.692539 0.472165i
\(534\) 4.46710e10 + 1.13820e11i 0.0237733 + 0.0605735i
\(535\) 1.05975e12 3.26889e11i 0.559256 0.172507i
\(536\) −1.38386e12 + 1.28403e12i −0.724185 + 0.671946i
\(537\) 3.24266e12 4.06617e12i 1.68274 2.11009i
\(538\) 6.17065e11 7.73776e11i 0.317549 0.398194i
\(539\) 1.26740e12 1.17598e12i 0.646793 0.600136i
\(540\) 3.36612e11 1.03831e11i 0.170356 0.0525479i
\(541\) −7.83533e11 1.99641e12i −0.393251 1.00199i −0.981184 0.193077i \(-0.938153\pi\)
0.587933 0.808910i \(-0.299942\pi\)
\(542\) −1.87890e11 + 1.28101e11i −0.0935206 + 0.0637613i
\(543\) −2.81147e9 1.35393e9i −0.00138782 0.000668341i
\(544\) −7.00141e11 6.49636e11i −0.342760 0.318035i
\(545\) −1.07990e12 + 1.62769e11i −0.524325 + 0.0790293i
\(546\) −2.29363e10 + 3.06063e11i −0.0110448 + 0.147382i
\(547\) 8.63799e11 2.20092e12i 0.412544 1.05114i −0.562038 0.827111i \(-0.689983\pi\)
0.974582 0.224033i \(-0.0719222\pi\)
\(548\) −2.86386e11 1.25474e12i −0.135656 0.594348i
\(549\) 1.16842e10 + 1.55915e11i 0.00548939 + 0.0732508i
\(550\) 1.63384e11 + 5.03972e10i 0.0761336 + 0.0234841i
\(551\) 9.48495e10 4.56771e10i 0.0438382 0.0211114i
\(552\) 5.21293e11 9.02906e11i 0.238977 0.413920i
\(553\) −6.18963e11 1.07207e12i −0.281450 0.487486i
\(554\) −1.75432e12 1.19607e12i −0.791251 0.539465i
\(555\) 9.33599e11 4.09037e12i 0.417678 1.82997i
\(556\) 1.74745e12 + 2.63386e11i 0.775477 + 0.116884i
\(557\) −1.38629e11 1.73835e11i −0.0610248 0.0765226i 0.750382 0.661004i \(-0.229869\pi\)
−0.811407 + 0.584481i \(0.801298\pi\)
\(558\) 1.05537e12 0.460840
\(559\) −4.53369e11 1.42266e12i −0.196381 0.616237i
\(560\) −3.03311e11 −0.130329
\(561\) −9.07338e11 1.13777e12i −0.386755 0.484976i
\(562\) 1.96583e12 + 2.96301e11i 0.831252 + 0.125291i
\(563\) −1.90656e11 + 8.35318e11i −0.0799765 + 0.350400i −0.999045 0.0436985i \(-0.986086\pi\)
0.919068 + 0.394098i \(0.128943\pi\)
\(564\) −4.67338e11 3.18625e11i −0.194480 0.132594i
\(565\) −2.04325e12 3.53901e12i −0.843535 1.46105i
\(566\) −6.00936e11 + 1.04085e12i −0.246124 + 0.426300i
\(567\) 8.72240e11 4.20048e11i 0.354415 0.170677i
\(568\) 4.81958e11 + 1.48664e11i 0.194286 + 0.0599294i
\(569\) 4.52182e10 + 6.03395e11i 0.0180846 + 0.241322i 0.998919 + 0.0464799i \(0.0148003\pi\)
−0.980835 + 0.194842i \(0.937581\pi\)
\(570\) 4.21632e10 + 1.84729e11i 0.0167300 + 0.0732990i
\(571\) −1.51749e12 + 3.86649e12i −0.597396 + 1.52214i 0.237305 + 0.971435i \(0.423736\pi\)
−0.834701 + 0.550704i \(0.814359\pi\)
\(572\) −9.48570e10 + 1.26578e12i −0.0370499 + 0.494397i
\(573\) 3.68956e12 5.56112e11i 1.42981 0.215510i
\(574\) −4.16156e11 3.86136e11i −0.160012 0.148469i
\(575\) 1.58887e11 + 7.65162e10i 0.0606156 + 0.0291909i
\(576\) 2.74784e11 1.87344e11i 0.104014 0.0709152i
\(577\) 1.83634e12 + 4.67891e12i 0.689701 + 1.75733i 0.652217 + 0.758032i \(0.273839\pi\)
0.0374843 + 0.999297i \(0.488066\pi\)
\(578\) −9.86315e11 + 3.04238e11i −0.367570 + 0.113380i
\(579\) −1.00662e12 + 9.34011e11i −0.372232 + 0.345381i
\(580\) 6.44198e11 8.07798e11i 0.236370 0.296399i
\(581\) −4.68841e11 + 5.87908e11i −0.170700 + 0.214051i
\(582\) 2.29156e12 2.12625e12i 0.827898 0.768177i
\(583\) −8.64770e11 + 2.66746e11i −0.310022 + 0.0956290i
\(584\) 1.03249e12 + 2.63075e12i 0.367308 + 0.935884i
\(585\) −1.37261e12 + 9.35832e11i −0.484559 + 0.330367i
\(586\) 8.03404e11 + 3.86899e11i 0.281446 + 0.135537i
\(587\) 9.87923e11 + 9.16659e11i 0.343441 + 0.318666i 0.832968 0.553322i \(-0.186640\pi\)
−0.489527 + 0.871988i \(0.662831\pi\)
\(588\) 2.61425e12 3.94034e11i 0.901879 0.135936i
\(589\) −2.60762e10 + 3.47963e11i −0.00892743 + 0.119128i
\(590\) 3.11538e11 7.93785e11i 0.105847 0.269693i
\(591\) −1.61666e11 7.08303e11i −0.0545097 0.238823i
\(592\) −9.97662e10 1.33129e12i −0.0333838 0.445476i
\(593\) −3.65424e12 1.12718e12i −1.21353 0.374325i −0.379057 0.925373i \(-0.623752\pi\)
−0.834473 + 0.551049i \(0.814228\pi\)
\(594\) −2.87915e11 + 1.38652e11i −0.0948909 + 0.0456971i
\(595\) 2.60738e11 4.51611e11i 0.0852860 0.147720i
\(596\) −1.24280e12 2.15259e12i −0.403453 0.698801i
\(597\) −3.23024e12 2.20234e12i −1.04076 0.709577i
\(598\) 8.98723e10 3.93756e11i 0.0287389 0.125913i
\(599\) −5.66923e12 8.54499e11i −1.79930 0.271201i −0.837794 0.545987i \(-0.816155\pi\)
−0.961505 + 0.274786i \(0.911393\pi\)
\(600\) 3.76311e11 + 4.71879e11i 0.118540 + 0.148645i
\(601\) −1.56491e12 −0.489275 −0.244637 0.969615i \(-0.578669\pi\)
−0.244637 + 0.969615i \(0.578669\pi\)
\(602\) −4.67506e11 + 2.75745e11i −0.145078 + 0.0855704i
\(603\) −3.14730e12 −0.969417
\(604\) 1.15914e12 + 1.45351e12i 0.354379 + 0.444378i
\(605\) 2.13104e10 + 3.21202e9i 0.00646684 + 0.000974719i
\(606\) 3.34724e11 1.46652e12i 0.100823 0.441735i
\(607\) −1.75402e11 1.19587e11i −0.0524428 0.0357549i 0.536815 0.843700i \(-0.319627\pi\)
−0.589258 + 0.807945i \(0.700580\pi\)
\(608\) 1.82846e11 + 3.16698e11i 0.0542649 + 0.0939896i
\(609\) 3.67329e11 6.36233e11i 0.108213 0.187430i
\(610\) 1.41017e11 6.79100e10i 0.0412369 0.0198586i
\(611\) −4.83349e11 1.49093e11i −0.140306 0.0432786i
\(612\) −7.59469e10 1.01344e12i −0.0218841 0.292023i
\(613\) 1.39957e12 + 6.13192e12i 0.400334 + 1.75398i 0.626047 + 0.779785i \(0.284672\pi\)
−0.225713 + 0.974194i \(0.572471\pi\)
\(614\) 9.11651e11 2.32285e12i 0.258864 0.659574i
\(615\) 5.02808e11 6.70950e12i 0.141731 1.89126i
\(616\) 1.05326e12 1.58753e11i 0.294728 0.0444231i
\(617\) 3.55602e12 + 3.29950e12i 0.987826 + 0.916568i 0.996517 0.0833938i \(-0.0265759\pi\)
−0.00869087 + 0.999962i \(0.502766\pi\)
\(618\) 2.01028e12 + 9.68099e11i 0.554381 + 0.266976i
\(619\) 9.08006e8 6.19068e8i 0.000248588 0.000169485i −0.563196 0.826324i \(-0.690428\pi\)
0.563444 + 0.826154i \(0.309476\pi\)
\(620\) 1.25116e12 + 3.18790e12i 0.340056 + 0.866448i
\(621\) −3.14958e11 + 9.71517e10i −0.0849846 + 0.0262143i
\(622\) 2.18092e12 2.02360e12i 0.584229 0.542085i
\(623\) −8.03328e10 + 1.00734e11i −0.0213647 + 0.0267905i
\(624\) −7.21672e11 + 9.04948e11i −0.190550 + 0.238942i
\(625\) 3.17900e12 2.94968e12i 0.833355 0.773241i
\(626\) −3.62757e11 + 1.11896e11i −0.0944129 + 0.0291225i
\(627\) 2.03565e11 + 5.18675e11i 0.0526016 + 0.134027i
\(628\) −2.45684e12 + 1.67504e12i −0.630315 + 0.429742i
\(629\) 2.06797e12 + 9.95880e11i 0.526763 + 0.253676i
\(630\) 4.42678e11 + 4.10745e11i 0.111958 + 0.103882i
\(631\) 2.72133e11 4.10174e10i 0.0683358 0.0103000i −0.114785 0.993390i \(-0.536618\pi\)
0.183121 + 0.983090i \(0.441380\pi\)
\(632\) −4.16635e11 + 5.55960e12i −0.103879 + 1.38617i
\(633\) −2.14579e11 + 5.46737e11i −0.0531214 + 0.135351i
\(634\) −7.55810e11 3.31142e12i −0.185785 0.813978i
\(635\) 2.34555e11 + 3.12993e12i 0.0572485 + 0.763928i
\(636\) −1.32234e12 4.07889e11i −0.320470 0.0988519i
\(637\) 2.13013e12 1.02582e12i 0.512600 0.246855i
\(638\) −4.68649e11 + 8.11724e11i −0.111984 + 0.193961i
\(639\) 4.20434e11 + 7.28213e11i 0.0997571 + 0.172784i
\(640\) 3.60515e12 + 2.45795e12i 0.849403 + 0.579113i
\(641\) −8.00833e11 + 3.50868e12i −0.187362 + 0.820885i 0.790639 + 0.612283i \(0.209749\pi\)
−0.978000 + 0.208603i \(0.933108\pi\)
\(642\) −1.52122e12 2.29287e11i −0.353415 0.0532688i
\(643\) −1.59547e12 2.00065e12i −0.368077 0.461554i 0.562957 0.826486i \(-0.309664\pi\)
−0.931034 + 0.364932i \(0.881092\pi\)
\(644\) 4.75904e11 0.109027
\(645\) −6.00971e12 2.29435e12i −1.36721 0.521965i
\(646\) −1.03659e11 −0.0234186
\(647\) 4.64817e12 + 5.82862e12i 1.04283 + 1.30767i 0.950090 + 0.311975i \(0.100991\pi\)
0.0927387 + 0.995690i \(0.470438\pi\)
\(648\) −4.31135e12 6.49832e11i −0.960563 0.144782i
\(649\) 5.57988e11 2.44471e12i 0.123459 0.540911i
\(650\) 1.93182e11 + 1.31709e11i 0.0424479 + 0.0289405i
\(651\) 1.21753e12 + 2.10882e12i 0.265684 + 0.460178i
\(652\) −8.27011e10 + 1.43243e11i −0.0179224 + 0.0310426i
\(653\) −1.88579e12 + 9.08147e11i −0.405866 + 0.195455i −0.625668 0.780090i \(-0.715173\pi\)
0.219801 + 0.975545i \(0.429459\pi\)
\(654\) 1.44764e12 + 4.46536e11i 0.309428 + 0.0954459i
\(655\) −2.03836e11 2.72000e12i −0.0432708 0.577409i
\(656\) −4.76404e11 2.08726e12i −0.100440 0.440058i
\(657\) −1.72135e12 + 4.38593e12i −0.360434 + 0.918370i
\(658\) −1.37405e10 + 1.83354e11i −0.00285750 + 0.0381307i
\(659\) 5.15862e12 7.77538e11i 1.06549 0.160597i 0.407183 0.913346i \(-0.366511\pi\)
0.658307 + 0.752750i \(0.271273\pi\)
\(660\) 4.00870e12 + 3.71953e12i 0.822348 + 0.763028i
\(661\) −6.26145e12 3.01535e12i −1.27576 0.614372i −0.331461 0.943469i \(-0.607542\pi\)
−0.944296 + 0.329096i \(0.893256\pi\)
\(662\) −2.93476e12 + 2.00089e12i −0.593898 + 0.404913i
\(663\) −7.27034e11 1.85245e12i −0.146131 0.372337i
\(664\) 3.23613e12 9.98213e11i 0.646055 0.199281i
\(665\) −1.46364e11 + 1.35806e11i −0.0290226 + 0.0269290i
\(666\) −1.65723e12 + 2.07809e12i −0.326398 + 0.409290i
\(667\) −6.02757e11 + 7.55833e11i −0.117917 + 0.147863i
\(668\) 3.05985e11 2.83912e11i 0.0594574 0.0551684i
\(669\) −2.92343e12 + 9.01760e11i −0.564255 + 0.174050i
\(670\) 1.15105e12 + 2.93282e12i 0.220677 + 0.562275i
\(671\) 3.80284e11 2.59273e11i 0.0724196 0.0493749i
\(672\) 2.29924e12 + 1.10726e12i 0.434934 + 0.209453i
\(673\) −1.10785e12 1.02793e12i −0.208167 0.193150i 0.569198 0.822200i \(-0.307254\pi\)
−0.777365 + 0.629050i \(0.783444\pi\)
\(674\) −4.29040e12 + 6.46674e11i −0.800808 + 0.120702i
\(675\) 1.42590e10 1.90274e11i 0.00264377 0.0352786i
\(676\) 8.81812e11 2.24682e12i 0.162411 0.413817i
\(677\) −8.42471e11 3.69111e12i −0.154137 0.675317i −0.991656 0.128910i \(-0.958852\pi\)
0.837520 0.546407i \(-0.184005\pi\)
\(678\) 4.23622e11 + 5.65285e12i 0.0769919 + 1.02739i
\(679\) 3.14772e12 + 9.70942e11i 0.568305 + 0.175299i
\(680\) −2.11597e12 + 1.01900e12i −0.379507 + 0.182761i
\(681\) −1.18647e12 + 2.05503e12i −0.211395 + 0.366147i
\(682\) −1.55336e12 2.69050e12i −0.274943 0.476215i
\(683\) 4.65163e12 + 3.17143e12i 0.817923 + 0.557650i 0.898437 0.439103i \(-0.144704\pi\)
−0.0805140 + 0.996753i \(0.525656\pi\)
\(684\) −8.65864e10 + 3.79360e11i −0.0151251 + 0.0662673i
\(685\) −4.90309e12 7.39023e11i −0.850869 0.128248i
\(686\) −1.14498e12 1.43576e12i −0.197397 0.247528i
\(687\) −2.68821e12 −0.460424
\(688\) −2.04251e12 1.33970e11i −0.347550 0.0227960i
\(689\) −1.23752e12 −0.209202
\(690\) −1.08487e12 1.36039e12i −0.182204 0.228477i
\(691\) −3.83363e12 5.77827e11i −0.639675 0.0964155i −0.178807 0.983884i \(-0.557224\pi\)
−0.460868 + 0.887469i \(0.652462\pi\)
\(692\) 1.12903e12 4.94661e12i 0.187167 0.820032i
\(693\) 1.46724e12 + 1.00035e12i 0.241658 + 0.164759i
\(694\) −8.06824e11 1.39746e12i −0.132027 0.228677i
\(695\) 3.40425e12 5.89633e12i 0.553464 0.958627i
\(696\) −2.98099e12 + 1.43557e12i −0.481525 + 0.231890i
\(697\) 3.51734e12 + 1.08495e12i 0.564503 + 0.174126i
\(698\) 1.55135e11 + 2.07013e12i 0.0247377 + 0.330102i
\(699\) 9.09940e11 + 3.98671e12i 0.144167 + 0.631636i
\(700\) −1.00652e11 + 2.56458e11i −0.0158446 + 0.0403715i
\(701\) −5.88077e11 + 7.84734e12i −0.0919821 + 1.22742i 0.739998 + 0.672610i \(0.234827\pi\)
−0.831980 + 0.554806i \(0.812792\pi\)
\(702\) −4.32108e11 + 6.51298e10i −0.0671545 + 0.0101219i
\(703\) −6.44218e11 5.97747e11i −0.0994795 0.0923035i
\(704\) −8.82051e11 4.24773e11i −0.135337 0.0651749i
\(705\) −1.80052e12 + 1.22757e12i −0.274503 + 0.187153i
\(706\) −6.97278e11 1.77664e12i −0.105629 0.269139i
\(707\) 1.51466e12 4.67212e11i 0.227997 0.0703277i
\(708\) 2.81082e12 2.60806e12i 0.420420 0.390093i
\(709\) −1.38927e12 + 1.74209e12i −0.206480 + 0.258918i −0.874279 0.485424i \(-0.838665\pi\)
0.667799 + 0.744342i \(0.267237\pi\)
\(710\) 5.24824e11 6.58108e11i 0.0775088 0.0971930i
\(711\) −6.81360e12 + 6.32210e12i −0.999916 + 0.927786i
\(712\) 5.54489e11 1.71037e11i 0.0808598 0.0249420i
\(713\) −1.17067e12 2.98283e12i −0.169642 0.432240i
\(714\) −5.97685e11 + 4.07494e11i −0.0860657 + 0.0586786i
\(715\) 4.40606e12 + 2.12185e12i 0.630483 + 0.303625i
\(716\) −7.83754e12 7.27217e12i −1.11448 1.03408i
\(717\) 1.60713e13 2.42236e12i 2.27099 0.342297i
\(718\) 7.85753e10 1.04851e12i 0.0110338 0.147236i
\(719\) 1.15394e12 2.94020e12i 0.161029 0.410295i −0.827473 0.561506i \(-0.810222\pi\)
0.988501 + 0.151211i \(0.0483173\pi\)
\(720\) 5.06765e11 + 2.22028e12i 0.0702766 + 0.307902i
\(721\) 1.75703e11 + 2.34459e12i 0.0242142 + 0.323115i
\(722\) −3.34988e12 1.03330e12i −0.458788 0.141517i
\(723\) 1.44028e13 6.93604e12i 1.96031 0.944038i
\(724\) −3.20750e9 + 5.55555e9i −0.000433854 + 0.000751456i
\(725\) −2.79827e11 4.84674e11i −0.0376156 0.0651521i
\(726\) −2.47006e10 1.68406e10i −0.00329983 0.00224979i
\(727\) 1.45531e12 6.37613e12i 0.193219 0.846549i −0.781640 0.623729i \(-0.785617\pi\)
0.974860 0.222820i \(-0.0715261\pi\)
\(728\) 1.44029e12 + 2.17089e11i 0.190046 + 0.0286449i
\(729\) −3.13722e12 3.93395e12i −0.411406 0.515887i
\(730\) 4.71659e12 0.614716
\(731\) 1.95529e12 2.92601e12i 0.253270 0.379007i
\(732\) 7.03795e11 0.0906038
\(733\) 3.94027e12 + 4.94094e12i 0.504148 + 0.632182i 0.967159 0.254171i \(-0.0818024\pi\)
−0.463011 + 0.886352i \(0.653231\pi\)
\(734\) 2.43818e12 + 3.67497e11i 0.310051 + 0.0467327i
\(735\) 2.26653e12 9.93034e12i 0.286464 1.25508i
\(736\) −2.77465e12 1.89173e12i −0.348545 0.237634i
\(737\) 4.63241e12 + 8.02357e12i 0.578366 + 1.00176i
\(738\) −2.13127e12 + 3.69147e12i −0.264475 + 0.458085i
\(739\) 1.03935e13 5.00524e12i 1.28192 0.617341i 0.336039 0.941848i \(-0.390913\pi\)
0.945883 + 0.324507i \(0.105198\pi\)
\(740\) −8.24188e12 2.54228e12i −1.01038 0.311660i
\(741\) 5.69398e10 + 7.59809e11i 0.00693800 + 0.0925812i
\(742\) 1.00100e11 + 4.38567e11i 0.0121232 + 0.0531151i
\(743\) 5.05909e12 1.28904e13i 0.609008 1.55173i −0.209852 0.977733i \(-0.567298\pi\)
0.818860 0.573994i \(-0.194607\pi\)
\(744\) 8.19541e11 1.09360e13i 0.0980601 1.30852i
\(745\) −9.46935e12 + 1.42727e12i −1.12620 + 0.169748i
\(746\) −5.04754e12 4.68344e12i −0.596699 0.553656i
\(747\) 5.08690e12 + 2.44972e12i 0.597738 + 0.287855i
\(748\) −2.47183e12 + 1.68526e12i −0.288710 + 0.196839i
\(749\) −5.92250e11 1.50903e12i −0.0687602 0.175198i