Properties

Label 43.9.f.a.2.17
Level 43
Weight 9
Character 43.2
Analytic conductor 17.517
Analytic rank 0
Dimension 174
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(17.5172802326\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.17
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.17

$q$-expansion

\(f(q)\) \(=\) \(q+(3.22586 + 6.69857i) q^{2} +(-59.4708 + 123.492i) q^{3} +(125.149 - 156.932i) q^{4} +(267.347 + 61.0203i) q^{5} -1019.07 q^{6} +4439.62i q^{7} +(3310.53 + 755.607i) q^{8} +(-7622.86 - 9558.77i) q^{9} +O(q^{10})\) \(q+(3.22586 + 6.69857i) q^{2} +(-59.4708 + 123.492i) q^{3} +(125.149 - 156.932i) q^{4} +(267.347 + 61.0203i) q^{5} -1019.07 q^{6} +4439.62i q^{7} +(3310.53 + 755.607i) q^{8} +(-7622.86 - 9558.77i) q^{9} +(453.677 + 1987.69i) q^{10} +(9758.16 + 12236.3i) q^{11} +(11937.1 + 24787.7i) q^{12} +(-6426.39 + 28155.8i) q^{13} +(-29739.1 + 14321.6i) q^{14} +(-23434.9 + 29386.4i) q^{15} +(-5816.43 - 25483.4i) q^{16} +(-28076.8 - 123012. i) q^{17} +(39439.8 - 81897.5i) q^{18} +(-32798.7 - 26156.1i) q^{19} +(43034.2 - 34318.6i) q^{20} +(-548259. - 264027. i) q^{21} +(-50487.6 + 104838. i) q^{22} +(79756.2 + 100011. i) q^{23} +(-290191. + 363889. i) q^{24} +(-284190. - 136859. i) q^{25} +(-209334. + 47779.2i) q^{26} +(757028. - 172787. i) q^{27} +(696716. + 555613. i) q^{28} +(-182316. - 378582. i) q^{29} +(-272445. - 62183.7i) q^{30} +(-447585. + 215545. i) q^{31} +(831579. - 663162. i) q^{32} +(-2.09142e6 + 477353. i) q^{33} +(733435. - 584895. i) q^{34} +(-270907. + 1.18692e6i) q^{35} -2.45406e6 q^{36} +3.20443e6i q^{37} +(69404.4 - 304081. i) q^{38} +(-3.09485e6 - 2.46806e6i) q^{39} +(838955. + 404019. i) q^{40} +(1.45071e6 - 698625. i) q^{41} -4.52427e6i q^{42} +(2.84092e6 - 1.90194e6i) q^{43} +3.14149e6 q^{44} +(-1.45467e6 - 3.02066e6i) q^{45} +(-412649. + 856875. i) q^{46} +(-2.10850e6 + 2.64398e6i) q^{47} +(3.49292e6 + 797235. i) q^{48} -1.39454e7 q^{49} -2.34515e6i q^{50} +(1.68608e7 + 3.84837e6i) q^{51} +(3.61428e6 + 4.53217e6i) q^{52} +(-87123.4 - 381712. i) q^{53} +(3.59949e6 + 4.51362e6i) q^{54} +(1.86215e6 + 3.86680e6i) q^{55} +(-3.35461e6 + 1.46975e7i) q^{56} +(5.18064e6 - 2.49487e6i) q^{57} +(1.94783e6 - 2.44251e6i) q^{58} +(3.76090e6 + 1.64776e7i) q^{59} +(1.67881e6 + 7.35535e6i) q^{60} +(8.30184e6 - 1.72390e7i) q^{61} +(-2.88769e6 - 2.30286e6i) q^{62} +(4.24373e7 - 3.38426e7i) q^{63} +(1.09593e6 + 527773. i) q^{64} +(-3.43616e6 + 7.13525e6i) q^{65} +(-9.94421e6 - 1.24696e7i) q^{66} +(-1.58666e6 + 1.98960e6i) q^{67} +(-2.28183e7 - 1.09887e7i) q^{68} +(-1.70938e7 + 3.90154e6i) q^{69} +(-8.82458e6 + 2.01415e6i) q^{70} +(5.07960e6 + 4.05084e6i) q^{71} +(-1.80130e7 - 3.74045e7i) q^{72} +(4.41379e7 + 1.00742e7i) q^{73} +(-2.14651e7 + 1.03371e7i) q^{74} +(3.38020e7 - 2.69562e7i) q^{75} +(-8.20944e6 + 1.87375e6i) q^{76} +(-5.43247e7 + 4.33225e7i) q^{77} +(6.54891e6 - 2.86927e7i) q^{78} -1.21891e7 q^{79} -7.16785e6i q^{80} +(-5.83355e6 + 2.55584e7i) q^{81} +(9.35958e6 + 7.46401e6i) q^{82} +(1.40212e7 + 6.75224e6i) q^{83} +(-1.10048e8 + 5.29964e7i) q^{84} -3.46003e7i q^{85} +(2.19047e7 + 1.28947e7i) q^{86} +5.75944e7 q^{87} +(2.30588e7 + 4.78821e7i) q^{88} +(-3.66602e7 + 7.61257e7i) q^{89} +(1.55415e7 - 1.94885e7i) q^{90} +(-1.25001e8 - 2.85307e7i) q^{91} +2.56763e7 q^{92} -6.80919e7i q^{93} +(-2.45126e7 - 5.59484e6i) q^{94} +(-7.17260e6 - 8.99416e6i) q^{95} +(3.24408e7 + 1.42132e8i) q^{96} +(6.71846e7 + 8.42468e7i) q^{97} +(-4.49860e7 - 9.34143e7i) q^{98} +(4.25793e7 - 1.86552e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} + O(q^{10}) \) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} - 24989q^{10} - 14864q^{11} - 1799q^{12} + 133078q^{13} - 243363q^{14} - 7457q^{15} - 558511q^{16} + 55162q^{17} - 45934q^{18} + 619745q^{19} + 1207493q^{20} + 307272q^{21} + 432761q^{22} + 473962q^{23} + 179363q^{24} + 2991984q^{25} + 112889q^{26} - 7q^{27} + 458745q^{28} + 1369823q^{29} + 4208148q^{30} + 608540q^{31} - 15074437q^{32} - 10988257q^{33} + 1542905q^{34} - 4078926q^{35} + 53343072q^{36} - 15207265q^{38} - 16862587q^{39} - 537581q^{40} - 852935q^{41} + 2982351q^{43} - 10366284q^{44} + 52423812q^{45} + 51003036q^{46} + 5828578q^{47} - 32078599q^{48} - 145853506q^{49} - 30015937q^{51} + 71975797q^{52} - 7800770q^{53} + 43151245q^{54} - 53485957q^{55} + 25379079q^{56} - 21662515q^{57} - 191329035q^{58} + 69716890q^{59} - 106388277q^{60} - 49131775q^{61} + 67656953q^{62} + 355075q^{63} + 227160853q^{64} - 87064999q^{65} + 146686057q^{66} - 31581292q^{67} + 200919430q^{68} - 30179079q^{69} + 86518670q^{70} - 60255454q^{71} - 438784346q^{72} - 50897868q^{73} + 5087868q^{74} + 206284834q^{75} + 461519674q^{76} + 256281375q^{77} - 182130842q^{78} - 236682026q^{79} - 488977844q^{81} - 226181851q^{82} - 429023996q^{83} - 513228846q^{84} + 336855461q^{86} + 255103986q^{87} + 977894029q^{88} - 258201748q^{89} + 1399550866q^{90} + 246776320q^{91} + 363749100q^{92} - 637129955q^{94} + 60088655q^{95} - 1169196874q^{96} + 218930393q^{97} - 330217825q^{98} + 459482633q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.22586 + 6.69857i 0.201616 + 0.418661i 0.977122 0.212680i \(-0.0682192\pi\)
−0.775506 + 0.631341i \(0.782505\pi\)
\(3\) −59.4708 + 123.492i −0.734207 + 1.52460i 0.113153 + 0.993578i \(0.463905\pi\)
−0.847360 + 0.531019i \(0.821809\pi\)
\(4\) 125.149 156.932i 0.488862 0.613014i
\(5\) 267.347 + 61.0203i 0.427756 + 0.0976325i 0.430978 0.902362i \(-0.358169\pi\)
−0.00322237 + 0.999995i \(0.501026\pi\)
\(6\) −1019.07 −0.786317
\(7\) 4439.62i 1.84907i 0.381096 + 0.924535i \(0.375547\pi\)
−0.381096 + 0.924535i \(0.624453\pi\)
\(8\) 3310.53 + 755.607i 0.808235 + 0.184474i
\(9\) −7622.86 9558.77i −1.16184 1.45691i
\(10\) 453.677 + 1987.69i 0.0453677 + 0.198769i
\(11\) 9758.16 + 12236.3i 0.666496 + 0.835759i 0.994033 0.109079i \(-0.0347902\pi\)
−0.327538 + 0.944838i \(0.606219\pi\)
\(12\) 11937.1 + 24787.7i 0.575673 + 1.19540i
\(13\) −6426.39 + 28155.8i −0.225006 + 0.985814i 0.728643 + 0.684893i \(0.240151\pi\)
−0.953649 + 0.300921i \(0.902706\pi\)
\(14\) −29739.1 + 14321.6i −0.774133 + 0.372803i
\(15\) −23434.9 + 29386.4i −0.462911 + 0.580473i
\(16\) −5816.43 25483.4i −0.0887517 0.388846i
\(17\) −28076.8 123012.i −0.336164 1.47283i −0.806969 0.590594i \(-0.798894\pi\)
0.470805 0.882237i \(-0.343964\pi\)
\(18\) 39439.8 81897.5i 0.375703 0.780155i
\(19\) −32798.7 26156.1i −0.251676 0.200705i 0.489523 0.871991i \(-0.337171\pi\)
−0.741199 + 0.671285i \(0.765743\pi\)
\(20\) 43034.2 34318.6i 0.268964 0.214491i
\(21\) −548259. 264027.i −2.81909 1.35760i
\(22\) −50487.6 + 104838.i −0.215523 + 0.447538i
\(23\) 79756.2 + 100011.i 0.285006 + 0.357386i 0.903640 0.428294i \(-0.140885\pi\)
−0.618634 + 0.785679i \(0.712314\pi\)
\(24\) −290191. + 363889.i −0.874661 + 1.09679i
\(25\) −284190. 136859.i −0.727526 0.350358i
\(26\) −209334. + 47779.2i −0.458086 + 0.104555i
\(27\) 757028. 172787.i 1.42448 0.325129i
\(28\) 696716. + 555613.i 1.13351 + 0.903941i
\(29\) −182316. 378582.i −0.257770 0.535264i 0.731416 0.681931i \(-0.238860\pi\)
−0.989186 + 0.146667i \(0.953145\pi\)
\(30\) −272445. 62183.7i −0.336352 0.0767700i
\(31\) −447585. + 215545.i −0.484650 + 0.233395i −0.660221 0.751072i \(-0.729537\pi\)
0.175571 + 0.984467i \(0.443823\pi\)
\(32\) 831579. 663162.i 0.793055 0.632440i
\(33\) −2.09142e6 + 477353.i −1.76354 + 0.402517i
\(34\) 733435. 584895.i 0.548840 0.437685i
\(35\) −270907. + 1.18692e6i −0.180529 + 0.790951i
\(36\) −2.45406e6 −1.46109
\(37\) 3.20443e6i 1.70980i 0.518796 + 0.854898i \(0.326380\pi\)
−0.518796 + 0.854898i \(0.673620\pi\)
\(38\) 69404.4 304081.i 0.0332853 0.145833i
\(39\) −3.09485e6 2.46806e6i −1.33777 1.06683i
\(40\) 838955. + 404019.i 0.327717 + 0.157820i
\(41\) 1.45071e6 698625.i 0.513387 0.247234i −0.159208 0.987245i \(-0.550894\pi\)
0.672595 + 0.740011i \(0.265180\pi\)
\(42\) 4.52427e6i 1.45395i
\(43\) 2.84092e6 1.90194e6i 0.830970 0.556317i
\(44\) 3.14149e6 0.838156
\(45\) −1.45467e6 3.02066e6i −0.354744 0.736634i
\(46\) −412649. + 856875.i −0.0921615 + 0.191375i
\(47\) −2.10850e6 + 2.64398e6i −0.432098 + 0.541834i −0.949441 0.313944i \(-0.898350\pi\)
0.517343 + 0.855778i \(0.326921\pi\)
\(48\) 3.49292e6 + 797235.i 0.657996 + 0.150183i
\(49\) −1.39454e7 −2.41906
\(50\) 2.34515e6i 0.375224i
\(51\) 1.68608e7 + 3.84837e6i 2.49229 + 0.568848i
\(52\) 3.61428e6 + 4.53217e6i 0.494321 + 0.619859i
\(53\) −87123.4 381712.i −0.0110416 0.0483763i 0.969107 0.246641i \(-0.0793267\pi\)
−0.980149 + 0.198264i \(0.936470\pi\)
\(54\) 3.59949e6 + 4.51362e6i 0.423317 + 0.530823i
\(55\) 1.86215e6 + 3.86680e6i 0.203500 + 0.422572i
\(56\) −3.35461e6 + 1.46975e7i −0.341106 + 1.49448i
\(57\) 5.18064e6 2.49487e6i 0.490777 0.236346i
\(58\) 1.94783e6 2.44251e6i 0.172123 0.215836i
\(59\) 3.76090e6 + 1.64776e7i 0.310373 + 1.35983i 0.853899 + 0.520439i \(0.174232\pi\)
−0.543526 + 0.839392i \(0.682911\pi\)
\(60\) 1.67881e6 + 7.35535e6i 0.129538 + 0.567542i
\(61\) 8.30184e6 1.72390e7i 0.599591 1.24506i −0.351510 0.936184i \(-0.614332\pi\)
0.951101 0.308880i \(-0.0999540\pi\)
\(62\) −2.88769e6 2.30286e6i −0.195427 0.155848i
\(63\) 4.24373e7 3.38426e7i 2.69392 2.14833i
\(64\) 1.09593e6 + 527773.i 0.0653227 + 0.0314578i
\(65\) −3.43616e6 + 7.13525e6i −0.192495 + 0.399720i
\(66\) −9.94421e6 1.24696e7i −0.524076 0.657171i
\(67\) −1.58666e6 + 1.98960e6i −0.0787378 + 0.0987341i −0.819640 0.572879i \(-0.805827\pi\)
0.740902 + 0.671613i \(0.234398\pi\)
\(68\) −2.28183e7 1.09887e7i −1.06720 0.513938i
\(69\) −1.70938e7 + 3.90154e6i −0.754122 + 0.172123i
\(70\) −8.82458e6 + 2.01415e6i −0.367538 + 0.0838881i
\(71\) 5.07960e6 + 4.05084e6i 0.199892 + 0.159409i 0.718320 0.695712i \(-0.244911\pi\)
−0.518428 + 0.855121i \(0.673483\pi\)
\(72\) −1.80130e7 3.74045e7i −0.670282 1.39185i
\(73\) 4.41379e7 + 1.00742e7i 1.55425 + 0.354747i 0.911490 0.411322i \(-0.134933\pi\)
0.642759 + 0.766069i \(0.277790\pi\)
\(74\) −2.14651e7 + 1.03371e7i −0.715824 + 0.344723i
\(75\) 3.38020e7 2.69562e7i 1.06831 0.851948i
\(76\) −8.20944e6 + 1.87375e6i −0.246070 + 0.0561639i
\(77\) −5.43247e7 + 4.33225e7i −1.54538 + 1.23240i
\(78\) 6.54891e6 2.86927e7i 0.176926 0.775162i
\(79\) −1.21891e7 −0.312941 −0.156471 0.987683i \(-0.550012\pi\)
−0.156471 + 0.987683i \(0.550012\pi\)
\(80\) 7.16785e6i 0.174996i
\(81\) −5.83355e6 + 2.55584e7i −0.135517 + 0.593737i
\(82\) 9.35958e6 + 7.46401e6i 0.207015 + 0.165089i
\(83\) 1.40212e7 + 6.75224e6i 0.295442 + 0.142277i 0.575733 0.817638i \(-0.304717\pi\)
−0.280291 + 0.959915i \(0.590431\pi\)
\(84\) −1.10048e8 + 5.29964e7i −2.21037 + 1.06446i
\(85\) 3.46003e7i 0.662833i
\(86\) 2.19047e7 + 1.28947e7i 0.400445 + 0.235732i
\(87\) 5.75944e7 1.00532
\(88\) 2.30588e7 + 4.78821e7i 0.384509 + 0.798441i
\(89\) −3.66602e7 + 7.61257e7i −0.584299 + 1.21331i 0.373970 + 0.927441i \(0.377996\pi\)
−0.958269 + 0.285868i \(0.907718\pi\)
\(90\) 1.55415e7 1.94885e7i 0.236877 0.297035i
\(91\) −1.25001e8 2.85307e7i −1.82284 0.416051i
\(92\) 2.56763e7 0.358411
\(93\) 6.80919e7i 0.910256i
\(94\) −2.45126e7 5.59484e6i −0.313963 0.0716599i
\(95\) −7.17260e6 8.99416e6i −0.0880607 0.110425i
\(96\) 3.24408e7 + 1.42132e8i 0.381950 + 1.67343i
\(97\) 6.71846e7 + 8.42468e7i 0.758896 + 0.951626i 0.999821 0.0189178i \(-0.00602208\pi\)
−0.240925 + 0.970544i \(0.577451\pi\)
\(98\) −4.49860e7 9.34143e7i −0.487722 1.01277i
\(99\) 4.25793e7 1.86552e8i 0.443259 1.94204i
\(100\) −5.70434e7 + 2.74707e7i −0.570434 + 0.274707i
\(101\) −7.93852e6 + 9.95459e6i −0.0762876 + 0.0956617i −0.818511 0.574491i \(-0.805200\pi\)
0.742223 + 0.670153i \(0.233771\pi\)
\(102\) 2.86121e7 + 1.25358e8i 0.264331 + 1.15811i
\(103\) −3.09037e7 1.35398e8i −0.274575 1.20299i −0.904547 0.426375i \(-0.859791\pi\)
0.629971 0.776618i \(-0.283067\pi\)
\(104\) −4.25495e7 + 8.83550e7i −0.363715 + 0.755262i
\(105\) −1.30465e8 1.04042e8i −1.07333 0.855956i
\(106\) 2.27588e6 1.81495e6i 0.0180271 0.0143761i
\(107\) −1.50641e7 7.25450e6i −0.114924 0.0553443i 0.375539 0.926807i \(-0.377458\pi\)
−0.490462 + 0.871462i \(0.663172\pi\)
\(108\) 6.76254e7 1.40426e8i 0.497067 1.03217i
\(109\) 8.18875e7 + 1.02684e8i 0.580112 + 0.727437i 0.982132 0.188193i \(-0.0602632\pi\)
−0.402020 + 0.915631i \(0.631692\pi\)
\(110\) −1.98950e7 + 2.49475e7i −0.135885 + 0.170395i
\(111\) −3.95723e8 1.90570e8i −2.60675 1.25534i
\(112\) 1.13137e8 2.58227e7i 0.719004 0.164108i
\(113\) 1.78748e8 4.07981e7i 1.09630 0.250223i 0.364130 0.931348i \(-0.381366\pi\)
0.732167 + 0.681126i \(0.238509\pi\)
\(114\) 3.34241e7 + 2.66548e7i 0.197897 + 0.157818i
\(115\) 1.52199e7 + 3.16045e7i 0.0870203 + 0.180700i
\(116\) −8.22280e7 1.87680e7i −0.454138 0.103654i
\(117\) 3.18123e8 1.53200e8i 1.69766 0.817550i
\(118\) −9.82441e7 + 7.83470e7i −0.506732 + 0.404105i
\(119\) 5.46128e8 1.24650e8i 2.72337 0.621591i
\(120\) −9.97865e7 + 7.95771e7i −0.481224 + 0.383763i
\(121\) −6.80714e6 + 2.98240e7i −0.0317558 + 0.139131i
\(122\) 1.42257e8 0.642147
\(123\) 2.20699e8i 0.964229i
\(124\) −2.21888e7 + 9.72154e7i −0.0938527 + 0.411195i
\(125\) −1.51375e8 1.20717e8i −0.620031 0.494458i
\(126\) 3.63594e8 + 1.75098e8i 1.44256 + 0.694701i
\(127\) −5.59038e7 + 2.69218e7i −0.214895 + 0.103488i −0.538235 0.842795i \(-0.680909\pi\)
0.323340 + 0.946283i \(0.395194\pi\)
\(128\) 2.63245e8i 0.980665i
\(129\) 6.59229e7 + 4.63942e8i 0.238055 + 1.67535i
\(130\) −5.88805e7 −0.206157
\(131\) 1.97134e8 + 4.09353e8i 0.669386 + 1.38999i 0.908037 + 0.418889i \(0.137580\pi\)
−0.238651 + 0.971105i \(0.576705\pi\)
\(132\) −1.86827e8 + 3.87950e8i −0.615380 + 1.27785i
\(133\) 1.16123e8 1.45614e8i 0.371118 0.465368i
\(134\) −1.84458e7 4.21014e6i −0.0572109 0.0130580i
\(135\) 2.12933e8 0.641073
\(136\) 4.28451e8i 1.25241i
\(137\) −5.79927e8 1.32365e8i −1.64623 0.375742i −0.703868 0.710331i \(-0.748545\pi\)
−0.942364 + 0.334590i \(0.891402\pi\)
\(138\) −8.12769e7 1.01918e8i −0.224105 0.281018i
\(139\) 8.11894e7 + 3.55714e8i 0.217490 + 0.952888i 0.959325 + 0.282305i \(0.0910989\pi\)
−0.741834 + 0.670583i \(0.766044\pi\)
\(140\) 1.52362e8 + 1.91055e8i 0.396610 + 0.497333i
\(141\) −2.01117e8 4.17623e8i −0.508828 1.05659i
\(142\) −1.07488e7 + 4.70935e7i −0.0264366 + 0.115826i
\(143\) −4.07234e8 + 1.96114e8i −0.973868 + 0.468990i
\(144\) −1.99252e8 + 2.49855e8i −0.463397 + 0.581082i
\(145\) −2.56404e7 1.12338e8i −0.0580033 0.254129i
\(146\) 7.49002e7 + 3.28159e8i 0.164843 + 0.722226i
\(147\) 8.29344e8 1.72215e9i 1.77609 3.68809i
\(148\) 5.02877e8 + 4.01031e8i 1.04813 + 0.835855i
\(149\) 4.84018e8 3.85991e8i 0.982010 0.783127i 0.00580683 0.999983i \(-0.498152\pi\)
0.976204 + 0.216856i \(0.0695802\pi\)
\(150\) 2.89608e8 + 1.39468e8i 0.572066 + 0.275492i
\(151\) 3.27705e8 6.80486e8i 0.630340 1.30892i −0.304047 0.952657i \(-0.598338\pi\)
0.934387 0.356258i \(-0.115948\pi\)
\(152\) −8.88175e7 1.11374e8i −0.166389 0.208645i
\(153\) −9.61821e8 + 1.20608e9i −1.75521 + 2.20096i
\(154\) −4.65443e8 2.24145e8i −0.827530 0.398517i
\(155\) −1.32813e8 + 3.03138e7i −0.230099 + 0.0525186i
\(156\) −7.74632e8 + 1.76805e8i −1.30797 + 0.298535i
\(157\) 9.74352e7 + 7.77020e7i 0.160368 + 0.127889i 0.700386 0.713764i \(-0.253011\pi\)
−0.540018 + 0.841653i \(0.681583\pi\)
\(158\) −3.93203e7 8.16494e7i −0.0630940 0.131016i
\(159\) 5.23198e7 + 1.19417e7i 0.0818612 + 0.0186843i
\(160\) 2.62787e8 1.26551e8i 0.400981 0.193102i
\(161\) −4.44011e8 + 3.54087e8i −0.660831 + 0.526995i
\(162\) −1.90023e8 + 4.33716e7i −0.275897 + 0.0629716i
\(163\) 1.89606e8 1.51206e8i 0.268597 0.214199i −0.479924 0.877310i \(-0.659336\pi\)
0.748521 + 0.663111i \(0.230764\pi\)
\(164\) 7.19182e7 3.15094e8i 0.0994176 0.435577i
\(165\) −5.88264e8 −0.793664
\(166\) 1.15704e8i 0.152375i
\(167\) −1.60267e8 + 7.02178e8i −0.206053 + 0.902778i 0.761110 + 0.648623i \(0.224655\pi\)
−0.967163 + 0.254156i \(0.918202\pi\)
\(168\) −1.61553e9 1.28834e9i −2.02804 1.61731i
\(169\) −1.65048e7 7.94830e6i −0.0202332 0.00974377i
\(170\) 2.31772e8 1.11616e8i 0.277502 0.133638i
\(171\) 5.12900e8i 0.599858i
\(172\) 5.70637e7 6.83855e8i 0.0651997 0.781359i
\(173\) 1.48476e9 1.65757 0.828783 0.559571i \(-0.189034\pi\)
0.828783 + 0.559571i \(0.189034\pi\)
\(174\) 1.85792e8 + 3.85800e8i 0.202688 + 0.420887i
\(175\) 6.07600e8 1.26169e9i 0.647837 1.34525i
\(176\) 2.55067e8 3.19843e8i 0.265829 0.333339i
\(177\) −2.25852e9 5.15492e8i −2.30107 0.525205i
\(178\) −6.28194e8 −0.625769
\(179\) 1.66132e9i 1.61824i 0.587646 + 0.809118i \(0.300055\pi\)
−0.587646 + 0.809118i \(0.699945\pi\)
\(180\) −6.56087e8 1.49748e8i −0.624988 0.142649i
\(181\) 1.50914e8 + 1.89240e8i 0.140609 + 0.176319i 0.847150 0.531354i \(-0.178317\pi\)
−0.706540 + 0.707673i \(0.749745\pi\)
\(182\) −2.12122e8 9.29365e8i −0.193330 0.847034i
\(183\) 1.63516e9 + 2.05043e9i 1.45800 + 1.82827i
\(184\) 1.88466e8 + 3.91354e8i 0.164423 + 0.341428i
\(185\) −1.95535e8 + 8.56697e8i −0.166932 + 0.731375i
\(186\) 4.56118e8 2.19655e8i 0.381089 0.183523i
\(187\) 1.23124e9 1.54393e9i 1.00688 1.26259i
\(188\) 1.51047e8 + 6.61780e8i 0.120915 + 0.529764i
\(189\) 7.67107e8 + 3.36091e9i 0.601186 + 2.63397i
\(190\) 3.71102e7 7.70601e7i 0.0284760 0.0591310i
\(191\) −6.91272e8 5.51271e8i −0.519416 0.414221i 0.328378 0.944546i \(-0.393498\pi\)
−0.847794 + 0.530326i \(0.822070\pi\)
\(192\) −1.30352e8 + 1.03952e8i −0.0959207 + 0.0764942i
\(193\) −1.71982e9 8.28222e8i −1.23952 0.596922i −0.304838 0.952404i \(-0.598602\pi\)
−0.934683 + 0.355482i \(0.884317\pi\)
\(194\) −3.47605e8 + 7.21809e8i −0.245402 + 0.509583i
\(195\) −6.76798e8 8.48678e8i −0.468080 0.586954i
\(196\) −1.74525e9 + 2.18847e9i −1.18259 + 1.48292i
\(197\) −3.86774e8 1.86260e8i −0.256798 0.123667i 0.301056 0.953606i \(-0.402661\pi\)
−0.557854 + 0.829939i \(0.688375\pi\)
\(198\) 1.38699e9 3.16571e8i 0.902426 0.205973i
\(199\) −2.66147e8 + 6.07462e7i −0.169710 + 0.0387353i −0.306532 0.951860i \(-0.599169\pi\)
0.136821 + 0.990596i \(0.456311\pi\)
\(200\) −8.37408e8 6.67811e8i −0.523380 0.417382i
\(201\) −1.51341e8 3.14263e8i −0.0927198 0.192535i
\(202\) −9.22901e7 2.10646e7i −0.0554306 0.0126517i
\(203\) 1.68076e9 8.09411e8i 0.989741 0.476634i
\(204\) 2.71404e9 2.16438e9i 1.56710 1.24972i
\(205\) 4.30474e8 9.82528e7i 0.243743 0.0556326i
\(206\) 8.07281e8 6.43786e8i 0.448287 0.357497i
\(207\) 3.48012e8 1.52474e9i 0.189545 0.830453i
\(208\) 7.54886e8 0.403300
\(209\) 6.56572e8i 0.344110i
\(210\) 2.76072e8 1.20955e9i 0.141953 0.621938i
\(211\) −7.01600e8 5.59507e8i −0.353964 0.282277i 0.430323 0.902675i \(-0.358400\pi\)
−0.784287 + 0.620398i \(0.786971\pi\)
\(212\) −7.08061e7 3.40984e7i −0.0350532 0.0168807i
\(213\) −8.02336e8 + 3.86385e8i −0.389796 + 0.187716i
\(214\) 1.24310e8i 0.0592723i
\(215\) 8.75570e8 3.35124e8i 0.409767 0.156838i
\(216\) 2.63672e9 1.21129
\(217\) −9.56939e8 1.98711e9i −0.431564 0.896153i
\(218\) −4.23676e8 + 8.79773e8i −0.187589 + 0.389533i
\(219\) −3.86900e9 + 4.85158e9i −1.68199 + 2.10914i
\(220\) 8.39869e8 + 1.91695e8i 0.358526 + 0.0818313i
\(221\) 3.64395e9 1.52758
\(222\) 3.26553e9i 1.34444i
\(223\) −3.40595e9 7.77386e8i −1.37727 0.314353i −0.531120 0.847297i \(-0.678229\pi\)
−0.846151 + 0.532944i \(0.821086\pi\)
\(224\) 2.94419e9 + 3.69189e9i 1.16943 + 1.46642i
\(225\) 8.58140e8 + 3.75976e9i 0.334833 + 1.46700i
\(226\) 8.49906e8 + 1.06575e9i 0.325790 + 0.408527i
\(227\) 2.19015e9 + 4.54790e9i 0.824843 + 1.71280i 0.692279 + 0.721630i \(0.256607\pi\)
0.132564 + 0.991175i \(0.457679\pi\)
\(228\) 2.56828e8 1.12524e9i 0.0950392 0.416394i
\(229\) −7.19544e8 + 3.46514e8i −0.261647 + 0.126002i −0.560109 0.828419i \(-0.689241\pi\)
0.298462 + 0.954421i \(0.403526\pi\)
\(230\) −1.62607e8 + 2.03903e8i −0.0581071 + 0.0728640i
\(231\) −2.11926e9 9.28511e9i −0.744282 3.26091i
\(232\) −3.17502e8 1.39107e9i −0.109596 0.480171i
\(233\) −4.22565e8 + 8.77465e8i −0.143374 + 0.297719i −0.960273 0.279061i \(-0.909977\pi\)
0.816900 + 0.576780i \(0.195691\pi\)
\(234\) 2.05244e9 + 1.63676e9i 0.684552 + 0.545912i
\(235\) −7.25038e8 + 5.78199e8i −0.237733 + 0.189586i
\(236\) 3.05652e9 + 1.47194e9i 0.985325 + 0.474508i
\(237\) 7.24894e8 1.50526e9i 0.229763 0.477109i
\(238\) 2.59671e9 + 3.25617e9i 0.809311 + 1.01484i
\(239\) −1.46878e9 + 1.84179e9i −0.450157 + 0.564479i −0.954188 0.299206i \(-0.903278\pi\)
0.504032 + 0.863685i \(0.331850\pi\)
\(240\) 8.85174e8 + 4.26278e8i 0.266799 + 0.128484i
\(241\) 2.34735e9 5.35768e8i 0.695841 0.158821i 0.140052 0.990144i \(-0.455273\pi\)
0.555790 + 0.831323i \(0.312416\pi\)
\(242\) −2.21737e8 + 5.06101e7i −0.0646513 + 0.0147562i
\(243\) 1.17377e9 + 9.36047e8i 0.336633 + 0.268456i
\(244\) −1.66637e9 3.46025e9i −0.470124 0.976222i
\(245\) −3.72827e9 8.50953e8i −1.03477 0.236179i
\(246\) −1.47837e9 + 7.11945e8i −0.403685 + 0.194404i
\(247\) 9.47225e8 7.55386e8i 0.254487 0.202946i
\(248\) −1.64461e9 + 3.75372e8i −0.434767 + 0.0992327i
\(249\) −1.66770e9 + 1.32995e9i −0.433831 + 0.345968i
\(250\) 3.20319e8 1.40341e9i 0.0820018 0.359273i
\(251\) 5.15346e9 1.29839 0.649193 0.760624i \(-0.275107\pi\)
0.649193 + 0.760624i \(0.275107\pi\)
\(252\) 1.08951e10i 2.70165i
\(253\) −4.45497e8 + 1.95185e9i −0.108733 + 0.476392i
\(254\) −3.60676e8 2.87629e8i −0.0866527 0.0691032i
\(255\) 4.27287e9 + 2.05770e9i 1.01055 + 0.486656i
\(256\) 2.04393e9 9.84303e8i 0.475889 0.229176i
\(257\) 5.34213e9i 1.22457i 0.790639 + 0.612283i \(0.209749\pi\)
−0.790639 + 0.612283i \(0.790251\pi\)
\(258\) −2.89509e9 + 1.93820e9i −0.653406 + 0.437441i
\(259\) −1.42265e10 −3.16153
\(260\) 6.89715e8 + 1.43221e9i 0.150930 + 0.313410i
\(261\) −2.22901e9 + 4.62859e9i −0.480342 + 0.997440i
\(262\) −2.10615e9 + 2.64103e9i −0.446977 + 0.560491i
\(263\) 1.06778e9 + 2.43713e8i 0.223181 + 0.0509396i 0.332649 0.943051i \(-0.392058\pi\)
−0.109468 + 0.993990i \(0.534915\pi\)
\(264\) −7.28440e9 −1.49961
\(265\) 1.07366e8i 0.0217713i
\(266\) 1.35000e9 + 3.08129e8i 0.269655 + 0.0615469i
\(267\) −7.22073e9 9.05451e9i −1.42081 1.78164i
\(268\) 1.13664e8 + 4.97993e8i 0.0220334 + 0.0965348i
\(269\) −6.82667e8 8.56038e8i −0.130377 0.163487i 0.712358 0.701816i \(-0.247627\pi\)
−0.842735 + 0.538329i \(0.819056\pi\)
\(270\) 6.86892e8 + 1.42635e9i 0.129251 + 0.268392i
\(271\) −6.31891e8 + 2.76849e9i −0.117156 + 0.513294i 0.881963 + 0.471319i \(0.156222\pi\)
−0.999119 + 0.0419749i \(0.986635\pi\)
\(272\) −2.97147e9 + 1.43098e9i −0.542870 + 0.261432i
\(273\) 1.09572e10 1.37399e10i 1.97265 2.47363i
\(274\) −9.84111e8 4.31167e9i −0.174599 0.764968i
\(275\) −1.09852e9 4.81293e9i −0.192078 0.841548i
\(276\) −1.52699e9 + 3.17082e9i −0.263148 + 0.546432i
\(277\) −5.78427e9 4.61280e9i −0.982493 0.783512i −0.00620375 0.999981i \(-0.501975\pi\)
−0.976290 + 0.216468i \(0.930546\pi\)
\(278\) −2.12087e9 + 1.69134e9i −0.355087 + 0.283172i
\(279\) 5.47222e9 + 2.63528e9i 0.903123 + 0.434921i
\(280\) −1.79369e9 + 3.72464e9i −0.291820 + 0.605971i
\(281\) 1.19715e9 + 1.50118e9i 0.192010 + 0.240773i 0.868512 0.495668i \(-0.165077\pi\)
−0.676502 + 0.736440i \(0.736505\pi\)
\(282\) 2.14870e9 2.69439e9i 0.339766 0.426053i
\(283\) 1.71820e9 + 8.27440e8i 0.267872 + 0.129000i 0.562999 0.826458i \(-0.309648\pi\)
−0.295127 + 0.955458i \(0.595362\pi\)
\(284\) 1.27141e9 2.90191e8i 0.195440 0.0446078i
\(285\) 1.53727e9 3.50872e8i 0.233008 0.0531825i
\(286\) −2.62736e9 2.09525e9i −0.392696 0.313164i
\(287\) 3.10163e9 + 6.44060e9i 0.457154 + 0.949289i
\(288\) −1.26780e10 2.89367e9i −1.84281 0.420610i
\(289\) −8.05878e9 + 3.88091e9i −1.15526 + 0.556342i
\(290\) 6.69791e8 5.34140e8i 0.0946994 0.0755202i
\(291\) −1.43993e10 + 3.28656e9i −2.00803 + 0.458320i
\(292\) 7.10477e9 5.66586e9i 0.977279 0.779354i
\(293\) 1.24901e8 5.47228e8i 0.0169471 0.0742503i −0.965747 0.259485i \(-0.916447\pi\)
0.982694 + 0.185234i \(0.0593044\pi\)
\(294\) 1.42113e10 1.90215
\(295\) 4.63473e9i 0.611979i
\(296\) −2.42129e9 + 1.06084e10i −0.315414 + 1.38192i
\(297\) 9.50147e9 + 7.57717e9i 1.22114 + 0.973826i
\(298\) 4.14696e9 + 1.99707e9i 0.525854 + 0.253238i
\(299\) −3.32844e9 + 1.60289e9i −0.416444 + 0.200549i
\(300\) 8.67812e9i 1.07137i
\(301\) 8.44388e9 + 1.26126e10i 1.02867 + 1.53652i
\(302\) 5.61542e9 0.675078
\(303\) −7.57206e8 1.57235e9i −0.0898345 0.186543i
\(304\) −4.75776e8 + 9.87960e8i −0.0557068 + 0.115676i
\(305\) 3.27140e9 4.10221e9i 0.378037 0.474044i
\(306\) −1.11817e10 2.55216e9i −1.27533 0.291087i
\(307\) 6.34807e9 0.714642 0.357321 0.933982i \(-0.383690\pi\)
0.357321 + 0.933982i \(0.383690\pi\)
\(308\) 1.39470e10i 1.54981i
\(309\) 1.85585e10 + 4.23585e9i 2.03567 + 0.464629i
\(310\) −6.31496e8 7.91871e8i −0.0683792 0.0857448i
\(311\) −1.62356e9 7.11327e9i −0.173551 0.760374i −0.984518 0.175283i \(-0.943916\pi\)
0.810968 0.585091i \(-0.198941\pi\)
\(312\) −8.38071e9 1.05091e10i −0.884428 1.10904i
\(313\) 2.16194e9 + 4.48930e9i 0.225250 + 0.467737i 0.982712 0.185143i \(-0.0592748\pi\)
−0.757461 + 0.652880i \(0.773561\pi\)
\(314\) −2.06180e8 + 9.03332e8i −0.0212094 + 0.0929242i
\(315\) 1.34106e10 6.45820e9i 1.36209 0.655947i
\(316\) −1.52545e9 + 1.91285e9i −0.152985 + 0.191837i
\(317\) −3.00884e9 1.31826e10i −0.297963 1.30546i −0.873155 0.487442i \(-0.837930\pi\)
0.575193 0.818018i \(-0.304927\pi\)
\(318\) 8.87845e7 + 3.88990e8i 0.00868218 + 0.0380391i
\(319\) 2.85340e9 5.92514e9i 0.275549 0.572184i
\(320\) 2.60790e8 + 2.07973e8i 0.0248709 + 0.0198339i
\(321\) 1.79175e9 1.42887e9i 0.168755 0.134578i
\(322\) −3.80420e9 1.83200e9i −0.353867 0.170413i
\(323\) −2.29664e9 + 4.76903e9i −0.211000 + 0.438147i
\(324\) 3.28086e9 + 4.11407e9i 0.297720 + 0.373329i
\(325\) 5.67968e9 7.12210e9i 0.509085 0.638373i
\(326\) 1.62451e9 + 7.82320e8i 0.143830 + 0.0692651i
\(327\) −1.75506e10 + 4.00580e9i −1.53497 + 0.350347i
\(328\) 5.33051e9 1.21665e9i 0.460546 0.105117i
\(329\) −1.17382e10 9.36094e9i −1.00189 0.798980i
\(330\) −1.89766e9 3.94053e9i −0.160016 0.332276i
\(331\) −1.49310e10 3.40790e9i −1.24388 0.283907i −0.450576 0.892738i \(-0.648781\pi\)
−0.793300 + 0.608831i \(0.791639\pi\)
\(332\) 2.81437e9 1.35533e9i 0.231648 0.111556i
\(333\) 3.06304e10 2.44269e10i 2.49101 1.98652i
\(334\) −5.22059e9 + 1.19156e9i −0.419501 + 0.0957485i
\(335\) −5.45594e8 + 4.35097e8i −0.0433202 + 0.0345467i
\(336\) −3.53942e9 + 1.55072e10i −0.277699 + 1.21668i
\(337\) 1.54743e10 1.19975 0.599875 0.800093i \(-0.295217\pi\)
0.599875 + 0.800093i \(0.295217\pi\)
\(338\) 1.36199e8i 0.0104353i
\(339\) −5.59204e9 + 2.45003e10i −0.423420 + 1.85512i
\(340\) −5.42987e9 4.33018e9i −0.406326 0.324034i
\(341\) −7.00509e9 3.37347e9i −0.518079 0.249494i
\(342\) −3.43570e9 + 1.65454e9i −0.251137 + 0.120941i
\(343\) 3.63188e10i 2.62395i
\(344\) 1.08421e10 4.14980e9i 0.774246 0.296342i
\(345\) −4.80805e9 −0.339385
\(346\) 4.78962e9 + 9.94574e9i 0.334192 + 0.693957i
\(347\) 3.04938e9 6.33211e9i 0.210327 0.436748i −0.768941 0.639320i \(-0.779216\pi\)
0.979267 + 0.202572i \(0.0649301\pi\)
\(348\) 7.20787e9 9.03838e9i 0.491462 0.616274i
\(349\) −7.11741e9 1.62450e9i −0.479756 0.109501i −0.0241979 0.999707i \(-0.507703\pi\)
−0.455558 + 0.890206i \(0.650560\pi\)
\(350\) 1.04116e10 0.693816
\(351\) 2.24251e10i 1.47743i
\(352\) 1.62294e10 + 3.70424e9i 1.05714 + 0.241284i
\(353\) 1.89910e10 + 2.38140e10i 1.22307 + 1.53368i 0.763912 + 0.645320i \(0.223276\pi\)
0.459154 + 0.888356i \(0.348152\pi\)
\(354\) −3.83261e9 1.67917e10i −0.244051 1.06926i
\(355\) 1.11083e9 + 1.39294e9i 0.0699416 + 0.0877040i
\(356\) 7.35854e9 + 1.52802e10i 0.458133 + 0.951324i
\(357\) −1.70853e10 + 7.48556e10i −1.05184 + 4.60841i
\(358\) −1.11285e10 + 5.35920e9i −0.677492 + 0.326263i
\(359\) 1.46214e10 1.83347e10i 0.880261 1.10381i −0.113638 0.993522i \(-0.536250\pi\)
0.993899 0.110291i \(-0.0351782\pi\)
\(360\) −2.53331e9 1.10992e10i −0.150827 0.660815i
\(361\) −3.38758e9 1.48420e10i −0.199462 0.873902i
\(362\) −7.80809e8 + 1.62137e9i −0.0454685 + 0.0944163i
\(363\) −3.27821e9 2.61429e9i −0.188804 0.150566i
\(364\) −2.01211e10 + 1.60460e10i −1.14616 + 0.914034i
\(365\) 1.11854e10 + 5.38662e9i 0.630204 + 0.303490i
\(366\) −8.46013e9 + 1.75676e10i −0.471468 + 0.979014i
\(367\) −1.49115e9 1.86985e9i −0.0821974 0.103072i 0.739032 0.673670i \(-0.235283\pi\)
−0.821230 + 0.570598i \(0.806712\pi\)
\(368\) 2.08473e9 2.61417e9i 0.113673 0.142542i
\(369\) −1.77366e10 8.54147e9i −0.956673 0.460710i
\(370\) −6.36941e9 + 1.45378e9i −0.339854 + 0.0775695i
\(371\) 1.69466e9 3.86795e8i 0.0894512 0.0204167i
\(372\) −1.06858e10 8.52162e9i −0.558000 0.444990i
\(373\) 5.14679e9 + 1.06874e10i 0.265890 + 0.552126i 0.990578 0.136951i \(-0.0437304\pi\)
−0.724688 + 0.689077i \(0.758016\pi\)
\(374\) 1.43140e10 + 3.26707e9i 0.731599 + 0.166983i
\(375\) 2.39100e10 1.15145e10i 1.20908 0.582262i
\(376\) −8.97806e9 + 7.15977e9i −0.449191 + 0.358218i
\(377\) 1.18309e10 2.70033e9i 0.585670 0.133675i
\(378\) −2.00387e10 + 1.59804e10i −0.981529 + 0.782743i
\(379\) 7.39452e9 3.23975e10i 0.358388 1.57020i −0.398823 0.917028i \(-0.630581\pi\)
0.757211 0.653171i \(-0.226562\pi\)
\(380\) −2.30911e9 −0.110741
\(381\) 8.50475e9i 0.403610i
\(382\) 1.46278e9 6.40886e9i 0.0686951 0.300973i
\(383\) −7.64614e9 6.09759e9i −0.355342 0.283376i 0.429506 0.903064i \(-0.358688\pi\)
−0.784848 + 0.619688i \(0.787259\pi\)
\(384\) 3.25088e10 + 1.56554e10i 1.49512 + 0.720011i
\(385\) −1.71671e10 + 8.26725e9i −0.781366 + 0.376286i
\(386\) 1.41921e10i 0.639288i
\(387\) −3.98361e10 1.26575e10i −1.77596 0.564292i
\(388\) 2.16290e10 0.954356
\(389\) −7.32368e9 1.52078e10i −0.319839 0.664152i 0.677619 0.735413i \(-0.263012\pi\)
−0.997458 + 0.0712612i \(0.977298\pi\)
\(390\) 3.50167e9 7.27129e9i 0.151362 0.314306i
\(391\) 1.00633e10 1.26190e10i 0.430560 0.539905i
\(392\) −4.61667e10 1.05373e10i −1.95517 0.446255i
\(393\) −6.22757e10 −2.61065
\(394\) 3.19168e9i 0.132445i
\(395\) −3.25872e9 7.43781e8i −0.133862 0.0305532i
\(396\) −2.39471e10 3.00288e10i −0.973807 1.22112i
\(397\) 3.48487e9 + 1.52682e10i 0.140289 + 0.614648i 0.995367 + 0.0961478i \(0.0306521\pi\)
−0.855078 + 0.518500i \(0.826491\pi\)
\(398\) −1.26546e9 1.58684e9i −0.0504333 0.0632414i
\(399\) 1.10763e10 + 2.30001e10i 0.437020 + 0.907482i
\(400\) −1.83466e9 + 8.03816e9i −0.0716663 + 0.313991i
\(401\) 2.05689e10 9.90544e9i 0.795486 0.383086i 0.00842770 0.999964i \(-0.497317\pi\)
0.787058 + 0.616879i \(0.211603\pi\)
\(402\) 1.61691e9 2.02754e9i 0.0619129 0.0776363i
\(403\) −3.19251e9 1.39873e10i −0.121035 0.530290i
\(404\) 5.68694e8 + 2.49161e9i 0.0213478 + 0.0935308i
\(405\) −3.11917e9 + 6.47702e9i −0.115936 + 0.240744i
\(406\) 1.08438e10 + 8.64764e9i 0.399096 + 0.318268i
\(407\) −3.92106e10 + 3.12694e10i −1.42898 + 1.13957i
\(408\) 5.29104e10 + 2.54803e10i 1.90942 + 0.919526i
\(409\) 2.18723e10 4.54182e10i 0.781629 1.62307i −0.000537752 1.00000i \(-0.500171\pi\)
0.782167 0.623069i \(-0.214115\pi\)
\(410\) 2.04680e9 + 2.56661e9i 0.0724337 + 0.0908289i
\(411\) 5.08347e10 6.37447e10i 1.78153 2.23397i
\(412\) −2.51158e10 1.20951e10i −0.871681 0.419779i
\(413\) −7.31541e10 + 1.66970e10i −2.51443 + 0.573901i
\(414\) 1.13362e10 2.58742e9i 0.385893 0.0880777i
\(415\) 3.33650e9 + 2.66077e9i 0.112486 + 0.0897046i
\(416\) 1.33278e10 + 2.76755e10i 0.445027 + 0.924108i
\(417\) −4.87563e10 1.11283e10i −1.61245 0.368032i
\(418\) 4.39810e9 2.11801e9i 0.144065 0.0693782i
\(419\) 3.13040e9 2.49641e9i 0.101565 0.0809954i −0.571391 0.820678i \(-0.693596\pi\)
0.672956 + 0.739683i \(0.265024\pi\)
\(420\) −3.26549e10 + 7.45328e9i −1.04943 + 0.239525i
\(421\) 1.73859e10 1.38648e10i 0.553437 0.441352i −0.306412 0.951899i \(-0.599129\pi\)
0.859850 + 0.510547i \(0.170557\pi\)
\(422\) 1.48463e9 6.50461e9i 0.0468133 0.205103i
\(423\) 4.13460e10 1.29143
\(424\) 1.32950e9i 0.0411363i
\(425\) −8.85616e9 + 3.88014e10i −0.271450 + 1.18930i
\(426\) −5.17645e9 4.12808e9i −0.157179 0.125346i
\(427\) 7.65344e10 + 3.68570e10i 2.30221 + 1.10869i
\(428\) −3.02372e9 + 1.45615e9i −0.0901086 + 0.0433940i
\(429\) 6.19533e10i 1.82909i
\(430\) 5.06932e9 + 4.78400e9i 0.148278 + 0.139932i
\(431\) −4.80251e10 −1.39174 −0.695871 0.718166i \(-0.744982\pi\)
−0.695871 + 0.718166i \(0.744982\pi\)
\(432\) −8.80639e9 1.82867e10i −0.252850 0.525049i
\(433\) −1.24890e10 + 2.59337e10i −0.355284 + 0.737755i −0.999636 0.0269738i \(-0.991413\pi\)
0.644352 + 0.764729i \(0.277127\pi\)
\(434\) 1.02238e10 1.28203e10i 0.288173 0.361358i
\(435\) 1.53977e10 + 3.51443e9i 0.430031 + 0.0981517i
\(436\) 2.63624e10 0.729524
\(437\) 5.36635e9i 0.147148i
\(438\) −4.49795e10 1.02663e10i −1.22213 0.278944i
\(439\) −2.63857e10 3.30866e10i −0.710412 0.890828i 0.287341 0.957828i \(-0.407229\pi\)
−0.997753 + 0.0669999i \(0.978657\pi\)
\(440\) 3.24293e9 + 1.42082e10i 0.0865222 + 0.379078i
\(441\) 1.06304e11 + 1.33301e11i 2.81057 + 3.52435i
\(442\) 1.17549e10 + 2.44092e10i 0.307984 + 0.639536i
\(443\) 9.83015e9 4.30687e10i 0.255238 1.11827i −0.671037 0.741424i \(-0.734151\pi\)
0.926275 0.376847i \(-0.122992\pi\)
\(444\) −7.94307e10 + 3.82518e10i −2.04388 + 0.984283i
\(445\) −1.44462e10 + 1.81150e10i −0.368395 + 0.461953i
\(446\) −5.77975e9 2.53228e10i −0.146073 0.639988i
\(447\) 1.88820e10 + 8.27276e10i 0.472954 + 2.07215i
\(448\) −2.34311e9 + 4.86552e9i −0.0581676 + 0.120786i
\(449\) 2.85234e10 + 2.27467e10i 0.701804 + 0.559670i 0.908066 0.418827i \(-0.137559\pi\)
−0.206262 + 0.978497i \(0.566130\pi\)
\(450\) −2.24168e10 + 1.78768e10i −0.546667 + 0.435952i
\(451\) 2.27049e10 + 1.09341e10i 0.548799 + 0.264287i
\(452\) 1.59676e10 3.31571e10i 0.382548 0.794369i
\(453\) 6.45460e10 + 8.09381e10i 1.53277 + 1.92203i
\(454\) −2.33993e10 + 2.93418e10i −0.550782 + 0.690659i
\(455\) −3.16778e10 1.52552e10i −0.739110 0.355937i
\(456\) 1.90358e10 4.34480e9i 0.440263 0.100487i
\(457\) 4.48898e10 1.02458e10i 1.02916 0.234899i 0.325580 0.945514i \(-0.394440\pi\)
0.703581 + 0.710615i \(0.251583\pi\)
\(458\) −4.64230e9 3.70211e9i −0.105504 0.0841370i
\(459\) −4.25098e10 8.82724e10i −0.957719 1.98872i
\(460\) 6.86449e9 + 1.56678e9i 0.153312 + 0.0349925i
\(461\) −2.30629e10 + 1.11065e10i −0.510634 + 0.245908i −0.671415 0.741082i \(-0.734313\pi\)
0.160781 + 0.986990i \(0.448599\pi\)
\(462\) 5.53605e10 4.41485e10i 1.21516 0.969054i
\(463\) 7.17284e10 1.63715e10i 1.56087 0.356259i 0.647074 0.762427i \(-0.275993\pi\)
0.913798 + 0.406169i \(0.133135\pi\)
\(464\) −8.58715e9 + 6.84802e9i −0.185258 + 0.147738i
\(465\) 4.15499e9 1.82042e10i 0.0888706 0.389368i
\(466\) −7.24089e9 −0.153550
\(467\) 5.73231e10i 1.20521i −0.798040 0.602604i \(-0.794130\pi\)
0.798040 0.602604i \(-0.205870\pi\)
\(468\) 1.57708e10 6.90962e10i 0.328753 1.44036i
\(469\) −8.83308e9 7.04415e9i −0.182566 0.145592i
\(470\) −6.21198e9 2.99153e9i −0.127303 0.0613059i
\(471\) −1.53901e10 + 7.41150e9i −0.312722 + 0.150599i
\(472\) 5.73913e10i 1.15632i
\(473\) 5.09949e10 + 1.62031e10i 1.01878 + 0.323708i
\(474\) 1.24215e10 0.246071
\(475\) 5.74138e9 + 1.19221e10i 0.112782 + 0.234195i
\(476\) 4.87857e10 1.01304e11i 0.950308 1.97333i
\(477\) −2.98457e9 + 3.74253e9i −0.0576512 + 0.0722923i
\(478\) −1.70754e10 3.89735e9i −0.327084 0.0746548i
\(479\) −5.13862e10 −0.976124 −0.488062 0.872809i \(-0.662296\pi\)
−0.488062 + 0.872809i \(0.662296\pi\)
\(480\) 3.99782e10i 0.753111i
\(481\) −9.02235e10 2.05929e10i −1.68554 0.384714i
\(482\) 1.11611e10 + 1.39956e10i 0.206785 + 0.259300i
\(483\) −1.73214e10 7.58898e10i −0.318268 1.39442i
\(484\) 3.82842e9 + 4.80069e9i 0.0697652 + 0.0874828i
\(485\) 1.28209e10 + 2.66228e10i 0.231713 + 0.481157i
\(486\) −2.48377e9 + 1.08821e10i −0.0445212 + 0.195060i
\(487\) −1.65435e10 + 7.96693e9i −0.294111 + 0.141637i −0.575121 0.818068i \(-0.695045\pi\)
0.281010 + 0.959705i \(0.409331\pi\)
\(488\) 4.05094e10 5.07972e10i 0.714293 0.895695i
\(489\) 7.39673e9 + 3.24072e10i 0.129361 + 0.566769i
\(490\) −6.32671e9 2.77191e10i −0.109747 0.480834i
\(491\) 2.71561e10 5.63902e10i 0.467242 0.970237i −0.525593 0.850736i \(-0.676156\pi\)
0.992834 0.119501i \(-0.0381294\pi\)
\(492\) 3.46347e10 + 2.76202e10i 0.591086 + 0.471375i
\(493\) −4.14514e10 + 3.30564e10i −0.701700 + 0.559587i
\(494\) 8.11563e9 + 3.90828e9i 0.136274 + 0.0656263i
\(495\) 2.27669e10 4.72760e10i 0.379213 0.787444i
\(496\) 8.09618e9 + 1.01523e10i 0.133768 + 0.167740i
\(497\) −1.79842e10 + 2.25515e10i −0.294758 + 0.369615i
\(498\) −1.42885e10 6.88098e9i −0.232311 0.111875i
\(499\) −4.35068e9 + 9.93014e8i −0.0701706 + 0.0160160i −0.257462 0.966288i \(-0.582886\pi\)
0.187292 + 0.982304i \(0.440029\pi\)
\(500\) −3.78887e10 + 8.64785e9i −0.606219 + 0.138366i
\(501\) −7.71823e10 6.15508e10i −1.22509 0.976974i
\(502\) 1.66243e10 + 3.45208e10i 0.261776 + 0.543583i
\(503\) −1.47518e9 3.36699e8i −0.0230447 0.00525981i 0.210983 0.977490i \(-0.432334\pi\)
−0.234028 + 0.972230i \(0.575191\pi\)
\(504\) 1.66062e11 7.99711e10i 2.57364 1.23940i
\(505\) −2.72978e9 + 2.17692e9i −0.0419722 + 0.0334717i
\(506\) −1.45117e10 + 3.31220e9i −0.221369 + 0.0505260i
\(507\) 1.96311e9 1.56553e9i 0.0297106 0.0236934i
\(508\) −2.77140e9 + 1.21423e10i −0.0416145 + 0.182325i
\(509\) −4.68008e10 −0.697239 −0.348620 0.937264i \(-0.613350\pi\)
−0.348620 + 0.937264i \(0.613350\pi\)
\(510\) 3.52600e10i 0.521196i
\(511\) −4.47256e10 + 1.95956e11i −0.655953 + 2.87392i
\(512\) −3.95014e10 3.15013e10i −0.574821 0.458405i
\(513\) −2.93490e10 1.41337e10i −0.423763 0.204074i
\(514\) −3.57847e10 + 1.72330e10i −0.512678 + 0.246893i
\(515\) 3.80840e10i 0.541395i
\(516\) 8.10572e10 + 4.77163e10i 1.14339 + 0.673082i
\(517\) −5.29277e10 −0.740834
\(518\) −4.58926e10 9.52969e10i −0.637417 1.32361i
\(519\) −8.82995e10 + 1.83356e11i −1.21700 + 2.52712i
\(520\) −1.67669e10 + 2.10251e10i −0.229319 + 0.287557i
\(521\) 1.61379e10 + 3.68338e9i 0.219027 + 0.0499914i 0.330626 0.943762i \(-0.392740\pi\)
−0.111599 + 0.993753i \(0.535597\pi\)
\(522\) −3.81954e10 −0.514433
\(523\) 2.15523e9i 0.0288063i −0.999896 0.0144032i \(-0.995415\pi\)
0.999896 0.0144032i \(-0.00458482\pi\)
\(524\) 8.89115e10 + 2.02935e10i 1.17932 + 0.269173i
\(525\) 1.19675e11 + 1.50068e11i 1.57531 + 1.97538i
\(526\) 1.81197e9 + 7.93876e9i 0.0236705 + 0.103707i
\(527\) 3.90815e10 + 4.90066e10i 0.506674 + 0.635349i
\(528\) 2.43292e10 + 5.05201e10i 0.313034 + 0.650022i
\(529\) 1.37847e10 6.03945e10i 0.176025 0.771214i
\(530\) 7.19200e8 3.46348e8i 0.00911477 0.00438944i
\(531\) 1.28836e11 1.61556e11i 1.62054 2.03210i
\(532\) −8.31874e9 3.64468e10i −0.103851 0.455001i
\(533\) 1.03476e10 + 4.53356e10i 0.128212 + 0.561734i
\(534\) 3.73592e10 7.75771e10i 0.459444 0.954045i
\(535\) −3.58468e9 2.85869e9i −0.0437558 0.0348941i
\(536\) −6.75603e9 + 5.38775e9i −0.0818526 + 0.0652753i
\(537\) −2.05161e11 9.88002e10i −2.46716 1.18812i
\(538\) 3.53204e9 7.33435e9i 0.0421596 0.0875453i
\(539\) −1.36082e11 1.70641e11i −1.61229 2.02175i
\(540\) 2.66483e10 3.34159e10i 0.313396 0.392987i
\(541\) 6.46399e10 + 3.11289e10i 0.754591 + 0.363392i 0.771303 0.636468i \(-0.219605\pi\)
−0.0167116 + 0.999860i \(0.505320\pi\)
\(542\) −2.05833e10 + 4.69801e9i −0.238517 + 0.0544399i
\(543\) −3.23446e10 + 7.38245e9i −0.372051 + 0.0849182i
\(544\) −1.04925e11 8.36750e10i −1.19807 0.955432i
\(545\) 1.56266e10 + 3.24490e10i 0.177125 + 0.367803i
\(546\) 1.27384e11 + 2.90747e10i 1.43333 + 0.327148i
\(547\) −3.90782e10 + 1.88191e10i −0.436501 + 0.210208i −0.639212 0.769031i \(-0.720739\pi\)
0.202711 + 0.979239i \(0.435025\pi\)
\(548\) −9.33493e10 + 7.44436e10i −1.03512 + 0.825477i
\(549\) −2.28067e11 + 5.20548e10i −2.51057 + 0.573022i
\(550\) 2.86961e10 2.28844e10i 0.313597 0.250085i
\(551\) −3.92252e9 + 1.71857e10i −0.0425558 + 0.186449i
\(552\) −5.95375e10 −0.641260
\(553\) 5.41149e10i 0.578650i
\(554\) 1.22399e10 5.36266e10i 0.129939 0.569300i
\(555\) −9.41668e10 7.50955e10i −0.992490 0.791484i
\(556\) 6.59835e10 + 3.17760e10i 0.690456 + 0.332506i
\(557\) −9.85326e10 + 4.74508e10i −1.02367 + 0.492972i −0.868905 0.494979i \(-0.835176\pi\)
−0.154763 + 0.987952i \(0.549461\pi\)
\(558\) 4.51571e10i 0.465789i
\(559\) 3.52938e10 + 9.22111e10i 0.361452 + 0.944357i
\(560\) 3.18225e10 0.323581
\(561\) 1.17441e11 + 2.43868e11i 1.18568 + 2.46209i
\(562\) −6.19391e9 + 1.28618e10i −0.0620897 + 0.128931i
\(563\) −2.77718e10 + 3.48247e10i −0.276421 + 0.346620i −0.900591 0.434668i \(-0.856866\pi\)
0.624170 + 0.781288i \(0.285437\pi\)
\(564\) −9.07077e10 2.07034e10i −0.896453 0.204610i
\(565\) 5.02774e10 0.493377
\(566\) 1.41787e10i 0.138156i
\(567\) −1.13470e11 2.58987e10i −1.09786 0.250580i
\(568\) 1.37553e10 + 1.72486e10i 0.132153 + 0.165715i
\(569\) 1.32113e9 + 5.78825e9i 0.0126037 + 0.0552202i 0.980839 0.194822i \(-0.0624128\pi\)
−0.968235 + 0.250042i \(0.919556\pi\)
\(570\) 7.30936e9 + 9.16564e9i 0.0692436 + 0.0868288i
\(571\) −3.58243e10 7.43900e10i −0.337003 0.699794i 0.661750 0.749725i \(-0.269814\pi\)
−0.998753 + 0.0499311i \(0.984100\pi\)
\(572\) −2.01884e10 + 8.84513e10i −0.188590 + 0.826266i
\(573\) 1.09188e11 5.25823e10i 1.01288 0.487776i
\(574\) −3.31374e10 + 4.15530e10i −0.305260 + 0.382784i
\(575\) −8.97852e9 3.93375e10i −0.0821360 0.359861i
\(576\) −3.30928e9 1.44989e10i −0.0300638 0.131718i
\(577\) 2.63703e10 5.47586e10i 0.237910 0.494025i −0.747492 0.664271i \(-0.768742\pi\)
0.985402 + 0.170246i \(0.0544563\pi\)
\(578\) −5.19930e10 4.14631e10i −0.465837 0.371492i
\(579\) 2.04558e11 1.63130e11i 1.82013 1.45150i
\(580\) −2.08382e10 1.00352e10i −0.184140 0.0886772i
\(581\) −2.99774e10 + 6.22486e10i −0.263081 + 0.546293i
\(582\) −6.84655e10 8.58530e10i −0.596733 0.748279i
\(583\) 3.82060e9 4.79088e9i 0.0330718 0.0414707i
\(584\) 1.38508e11 + 6.67019e10i 1.19076 + 0.573438i
\(585\) 9.43975e10 2.15456e10i 0.806004 0.183965i
\(586\) 4.06856e9 9.28623e8i 0.0345025 0.00787497i
\(587\) 1.92613e10 + 1.53604e10i 0.162231 + 0.129375i 0.701241 0.712925i \(-0.252630\pi\)
−0.539009 + 0.842300i \(0.681201\pi\)
\(588\) −1.66468e11 3.45675e11i −1.39259 2.89174i
\(589\) 2.03180e10 + 4.63746e9i 0.168819 + 0.0385318i
\(590\) −3.10461e10 + 1.49510e10i −0.256211 + 0.123385i
\(591\) 4.60034e10 3.66865e10i 0.377086 0.300716i
\(592\) 8.16600e10 1.86384e10i 0.664848 0.151747i
\(593\) 1.73344e11 1.38237e11i 1.40181 1.11791i 0.424666 0.905350i \(-0.360391\pi\)
0.977148 0.212560i \(-0.0681800\pi\)
\(594\) −2.01058e10 + 8.80892e10i −0.161501 + 0.707582i
\(595\) 1.53612e11 1.22562
\(596\) 1.24264e11i 0.984827i
\(597\) 8.32625e9 3.64797e10i 0.0655469 0.287180i
\(598\) −2.14742e10 1.71251e10i −0.167924 0.133915i
\(599\) 1.08234e11 + 5.21227e10i 0.840729 + 0.404874i 0.804128 0.594456i \(-0.202633\pi\)
0.0366011 + 0.999330i \(0.488347\pi\)
\(600\) 1.32271e11 6.36982e10i 1.02061 0.491499i
\(601\) 2.34474e11i 1.79720i 0.438770 + 0.898599i \(0.355414\pi\)
−0.438770 + 0.898599i \(0.644586\pi\)
\(602\) −5.72477e10 + 9.72484e10i −0.435885 + 0.740452i
\(603\) 3.11130e10 0.235328
\(604\) −6.57779e10 1.36589e11i −0.494234 1.02629i
\(605\) −3.63974e9 + 7.55800e9i −0.0271675 + 0.0564138i
\(606\) 8.08988e9 1.01444e10i 0.0599862 0.0752204i
\(607\) 1.40556e11 + 3.20810e10i 1.03537 + 0.236316i 0.706242 0.707971i \(-0.250389\pi\)
0.329125 + 0.944286i \(0.393246\pi\)
\(608\) −4.46205e10 −0.326528
\(609\) 2.55697e11i 1.85890i
\(610\) 3.80320e10 + 8.68056e9i 0.274682 + 0.0626944i
\(611\) −6.08933e10 7.63578e10i −0.436923 0.547884i
\(612\) 6.89021e10 + 3.01880e11i 0.491165 + 2.15193i
\(613\) −5.37538e10 6.74051e10i −0.380686 0.477365i 0.554164 0.832407i \(-0.313038\pi\)
−0.934850 + 0.355042i \(0.884467\pi\)
\(614\) 2.04780e10 + 4.25230e10i 0.144083 + 0.299192i
\(615\) −1.34671e10 + 5.90034e10i −0.0941401 + 0.412455i
\(616\) −2.12578e11 + 1.02372e11i −1.47637 + 0.710984i
\(617\) −5.26342e10 + 6.60012e10i −0.363185 + 0.455419i −0.929529 0.368750i \(-0.879786\pi\)
0.566344 + 0.824169i \(0.308357\pi\)
\(618\) 3.14929e10 + 1.37979e11i 0.215903 + 0.945933i
\(619\) −2.04954e10 8.97961e10i −0.139603 0.611639i −0.995522 0.0945296i \(-0.969865\pi\)
0.855919 0.517109i \(-0.172992\pi\)
\(620\) −1.18642e10 + 2.46363e10i −0.0802921 + 0.166728i
\(621\) 7.76583e10 + 6.19304e10i 0.522181 + 0.416426i
\(622\) 4.24113e10 3.38219e10i 0.283348 0.225963i
\(623\) −3.37969e11 1.62757e11i −2.24349 1.08041i
\(624\) −4.48937e10 + 9.32226e10i −0.296106 + 0.614870i
\(625\) 4.37190e10 + 5.48219e10i 0.286517 + 0.359281i
\(626\) −2.30978e10 + 2.89638e10i −0.150409 + 0.188607i
\(627\) 8.10816e10 + 3.90469e10i 0.524629 + 0.252648i
\(628\) 2.43878e10 5.56635e9i 0.156796 0.0357876i
\(629\) 3.94185e11 8.99701e10i 2.51824 0.574772i
\(630\) 8.65214e10 + 6.89985e10i 0.549239 + 0.438003i
\(631\) 5.39940e10 + 1.12120e11i 0.340587 + 0.707236i 0.998967 0.0454501i \(-0.0144722\pi\)
−0.658380 + 0.752686i \(0.728758\pi\)
\(632\) −4.03523e10 9.21016e9i −0.252930 0.0577296i
\(633\) 1.10819e11 5.33679e10i 0.690242 0.332403i
\(634\) 7.85984e10 6.26801e10i 0.486471 0.387947i
\(635\) −1.65885e10 + 3.78622e9i −0.102026 + 0.0232869i
\(636\) 8.42178e9 6.71615e9i 0.0514725 0.0410480i
\(637\) 8.96186e10 3.92645e11i 0.544303 2.38475i
\(638\) 4.88946e10 0.295106
\(639\) 7.94337e10i 0.476433i
\(640\) 1.60633e10 7.03780e10i 0.0957448 0.419485i
\(641\) −8.37038e10 6.67515e10i −0.495807 0.395393i 0.343413 0.939184i \(-0.388417\pi\)
−0.839220 + 0.543791i \(0.816988\pi\)
\(642\) 1.53513e10 + 7.39282e9i 0.0903663 + 0.0435181i
\(643\) 4.24418e10 2.04389e10i 0.248285 0.119568i −0.305603 0.952159i \(-0.598858\pi\)
0.553888 + 0.832591i \(0.313144\pi\)
\(644\) 1.13993e11i 0.662727i
\(645\) −1.06855e10 + 1.28056e11i −0.0617387 + 0.739881i
\(646\) −3.93543e10 −0.225976
\(647\) −2.54014e10 5.27466e10i −0.144958 0.301007i 0.815831 0.578291i \(-0.196280\pi\)
−0.960788 + 0.277284i \(0.910566\pi\)
\(648\) −3.86243e10 + 8.02041e10i −0.219059 + 0.454880i
\(649\) −1.64926e11 + 2.06810e11i −0.929630 + 1.16572i
\(650\) 6.60297e10 + 1.50709e10i 0.369901 + 0.0844276i
\(651\) 3.02302e11 1.68313
\(652\) 4.86784e10i 0.269368i
\(653\) −3.29918e10 7.53016e9i −0.181448 0.0414144i 0.130831 0.991405i \(-0.458235\pi\)
−0.312280 + 0.949990i \(0.601093\pi\)
\(654\) −8.34488e10 1.04642e11i −0.456152 0.571996i
\(655\) 2.77244e10 + 1.21469e11i 0.150625 + 0.659932i
\(656\) −2.62413e10 3.29056e10i −0.141700 0.177686i
\(657\) −2.40160e11 4.98698e11i −1.28896 2.67656i
\(658\) 2.48390e10 1.08827e11i 0.132504 0.580539i
\(659\) −7.92868e10 + 3.81825e10i −0.420396 + 0.202452i −0.632109 0.774880i \(-0.717810\pi\)
0.211712 + 0.977332i \(0.432096\pi\)
\(660\) −7.36205e10 + 9.23172e10i −0.387992 + 0.486527i
\(661\) −3.11528e10 1.36489e11i −0.163189 0.714977i −0.988615 0.150467i \(-0.951922\pi\)
0.825426 0.564510i \(-0.190935\pi\)
\(662\) −2.53373e10 1.11010e11i −0.131925 0.578002i
\(663\) −2.16708e11 + 4.49999e11i −1.12156 + 2.32894i
\(664\) 4.13155e10 + 3.29480e10i 0.212540 + 0.169495i
\(665\) 3.99306e10 3.18436e10i 0.204183 0.162831i
\(666\) 2.62435e11 + 1.26382e11i 1.33391 + 0.642375i
\(667\) 2.33216e10 4.84279e10i 0.117830 0.244676i
\(668\) 9.01365e10 + 1.13028e11i 0.452684 + 0.567648i
\(669\) 2.98556e11 3.74377e11i 1.49046 1.86898i
\(670\) −4.67454e9 2.25114e9i −0.0231974 0.0111713i
\(671\) 2.91953e11 6.66363e10i 1.44020 0.328716i
\(672\) −6.31013e11 + 1.44025e11i −3.09429 + 0.706252i
\(673\) 3.86825e10 + 3.08482e10i 0.188562 + 0.150373i 0.713221 0.700939i \(-0.247236\pi\)
−0.524659 + 0.851313i \(0.675807\pi\)
\(674\) 4.99179e10 + 1.03656e11i 0.241889 + 0.502289i
\(675\) −2.38787e11 5.45015e10i −1.15026 0.262539i
\(676\) −3.31289e9 + 1.59541e9i −0.0158643 + 0.00763984i
\(677\) −3.50738e10 + 2.79704e10i −0.166966 + 0.133151i −0.703408 0.710786i \(-0.748339\pi\)
0.536442 + 0.843937i \(0.319768\pi\)
\(678\) −1.82156e11 + 4.15760e10i −0.862036 + 0.196754i
\(679\) −3.74024e11 + 2.98274e11i −1.75962 + 1.40325i
\(680\) 2.61442e10 1.14545e11i 0.122276 0.535725i
\(681\) −6.91881e11 −3.21694
\(682\) 5.78065e10i 0.267202i
\(683\) −3.52971e10 + 1.54647e11i −0.162202 + 0.710654i 0.826769 + 0.562542i \(0.190177\pi\)
−0.988971 + 0.148112i \(0.952681\pi\)
\(684\) 8.04902e10 + 6.41888e10i 0.367721 + 0.293248i
\(685\) −1.46965e11 7.07746e10i −0.667501 0.321451i
\(686\) 2.43284e11 1.17159e11i 1.09854 0.529030i
\(687\) 1.09466e11i 0.491417i
\(688\) −6.49919e10 6.13340e10i −0.290072 0.273746i
\(689\) 1.13073e10 0.0501745
\(690\) −1.55101e10 3.22070e10i −0.0684255 0.142087i
\(691\) −1.51367e10 + 3.14317e10i −0.0663925 + 0.137865i −0.931524 0.363679i \(-0.881520\pi\)
0.865132 + 0.501545i \(0.167235\pi\)
\(692\) 1.85815e11 2.33005e11i 0.810321 1.01611i
\(693\) 8.28219e11 + 1.89036e11i 3.59098 + 0.819617i
\(694\) 5.22530e10 0.225254
\(695\) 1.00053e11i 0.428837i
\(696\) 1.90668e11 + 4.35188e10i 0.812533 + 0.185455i
\(697\) −1.26671e11 1.58840e11i −0.536717 0.673021i
\(698\) −1.20779e10 5.29169e10i −0.0508828 0.222932i
\(699\) −8.32299e10 1.04367e11i −0.348635 0.437174i
\(700\) −1.21959e11 2.53251e11i −0.507952 1.05477i
\(701\) 1.23832e10 5.42544e10i 0.0512816 0.224679i −0.942793 0.333378i \(-0.891811\pi\)
0.994075 + 0.108699i \(0.0346685\pi\)
\(702\) −1.50216e11 + 7.23404e10i −0.618542 + 0.297874i
\(703\) 8.38155e10 1.05101e11i 0.343165 0.430315i
\(704\) 4.23627e9 + 1.85603e10i 0.0172462 + 0.0755605i
\(705\) −2.82845e10 1.23923e11i −0.114497 0.501642i
\(706\) −9.82574e10 + 2.04034e11i −0.395500 + 0.821264i
\(707\) −4.41946e10 3.52440e10i −0.176885 0.141061i
\(708\) −3.63547e11 + 2.89919e11i −1.44687 + 1.15384i
\(709\) −2.73373e10 1.31649e10i −0.108186 0.0520996i 0.379008 0.925393i \(-0.376265\pi\)
−0.487194 + 0.873294i \(0.661980\pi\)
\(710\) −5.74732e9 + 1.19344e10i −0.0226168 + 0.0469644i
\(711\) 9.29157e10 + 1.16513e11i 0.363589 + 0.455926i
\(712\) −1.78886e11 + 2.24316e11i −0.696075 + 0.872851i
\(713\) −5.72546e10 2.75724e10i −0.221540 0.106688i
\(714\) −5.56540e11 + 1.27027e11i −2.14143 + 0.488767i
\(715\) −1.20840e11 + 2.75809e10i −0.462367 + 0.105532i
\(716\) 2.60714e11 + 2.07913e11i 0.992002 + 0.791095i
\(717\) −1.40097e11 2.90915e11i −0.530094 1.10075i
\(718\) 1.69983e11 + 3.87975e10i 0.639598 + 0.145984i
\(719\) −1.93180e11 + 9.30306e10i −0.722847 + 0.348105i −0.758866 0.651246i \(-0.774247\pi\)
0.0360193 + 0.999351i \(0.488532\pi\)
\(720\) −6.85158e10 + 5.46395e10i −0.254953 + 0.203319i
\(721\) 6.01115e11 1.37201e11i 2.22442 0.507709i
\(722\) 8.84921e10 7.05701e10i 0.325654 0.259700i
\(723\) −7.34356e10 + 3.21743e11i −0.268753 + 1.17748i
\(724\) 4.85843e10 0.176824
\(725\) 1.32541e11i 0.479730i
\(726\) 6.93693e9 3.03927e10i 0.0249701 0.109401i
\(727\) 8.95874e10 + 7.14435e10i 0.320707 + 0.255756i 0.770589 0.637333i \(-0.219962\pi\)
−0.449881 + 0.893088i \(0.648534\pi\)
\(728\) −3.92262e11 1.88904e11i −1.39653 0.672535i
\(729\) −3.40367e11 + 1.63912e11i −1.20514 + 0.580365i
\(730\) 9.23029e10i 0.325030i
\(731\) −3.13726e11 2.96068e11i −1.09870 1.03686i
\(732\) 5.26415e11 1.83351
\(733\) −6.31222e10 1.31075e11i −0.218658 0.454049i 0.762568 0.646908i \(-0.223938\pi\)
−0.981226 + 0.192859i \(0.938224\pi\)
\(734\) 7.71505e9 1.60205e10i 0.0265800 0.0551939i
\(735\) 3.26809e11 4.09806e11i 1.11981 1.40420i
\(736\) 1.32647e11 + 3.02758e10i 0.452050 + 0.103178i
\(737\) −3.98283e10 −0.134996
\(738\) 1.46363e11i 0.493408i
\(739\) 5.49446e10 + 1.25408e10i 0.184225 + 0.0420481i 0.313638 0.949543i \(-0.398452\pi\)
−0.129413 + 0.991591i \(0.541309\pi\)
\(740\) 1.09972e11 + 1.37900e11i 0.366737 + 0.459873i
\(741\) 3.69522e10 + 1.61898e11i 0.122565 + 0.536994i
\(742\) 8.05770e9 + 1.01040e10i 0.0265825 + 0.0333334i
\(743\) 1.97281e11 + 4.09657e11i 0.647335 + 1.34420i 0.923687 + 0.383148i \(0.125160\pi\)
−0.276352 + 0.961056i \(0.589126\pi\)
\(744\) 5.14507e10 2.25420e11i 0.167919 0.735701i
\(745\) 1.52954e11 7.36588e10i 0.496519 0.239111i
\(746\) −5.49876e10 + 6.89523e10i −0.177546 + 0.222635i
\(747\) −4.23383e10 1.85496e11i −0.135973 0.595735i
\(748\) −8.82029e10 3.86442e11i −0.281758 1.23446i
\(749\) 3.22072e10 6.68790e10i 0.102335 0.212502i
\(750\) 1.54261e11 + 1.23019e11i 0.487540 + 0.388801i
\(751\) 4.02460e11 3.20951e11i 1.26521 1.00897i 0.266227 0.963910i \(-0.414223\pi\)
0.998984 0.0450616i \(-0.0143484\pi\)
\(752\) 7.96415e10 + 3.83533e10i 0.249040 + 0.119931i
\(753\) −3.06480e11 + 6.36412e11i −0.953284 + 1.97951i
\(754\) 5.62533e10 + 7.05394e10i 0.174045 + 0.218246i
\(755\)