Properties

Label 43.9.f.a.22.17
Level 43
Weight 9
Character 43.22
Analytic conductor 17.517
Analytic rank 0
Dimension 174
CM no
Inner twists 2

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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 22.17
Character \(\chi\) \(=\) 43.22
Dual form 43.9.f.a.2.17

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\)

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 −0.775506 0.631341i \(-0.782505\pi\)
0.977122 + 0.212680i \(0.0682192\pi\)
\(3\) −59.4708 123.492i −0.734207 1.52460i −0.847360 0.531019i \(-0.821809\pi\)
0.113153 0.993578i \(-0.463905\pi\)
\(4\) 125.149 + 156.932i 0.488862 + 0.613014i
\(5\) 267.347 61.0203i 0.427756 0.0976325i −0.00322237 0.999995i \(-0.501026\pi\)
0.430978 + 0.902362i \(0.358169\pi\)
\(6\) −1019.07 −0.786317
\(7\) 4439.62i 1.84907i −0.381096 0.924535i \(-0.624453\pi\)
0.381096 0.924535i \(-0.375547\pi\)
\(8\) 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 −0.327538 0.944838i \(-0.606219\pi\)
0.994033 + 0.109079i \(0.0347902\pi\)
\(12\) 11937.1 24787.7i 0.575673 1.19540i
\(13\) −6426.39 28155.8i −0.225006 0.985814i −0.953649 0.300921i \(-0.902706\pi\)
0.728643 0.684893i \(-0.240151\pi\)
\(14\) −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 0.470805 + 0.882237i \(0.343964\pi\)
−0.806969 + 0.590594i \(0.798894\pi\)
\(18\) 39439.8 + 81897.5i 0.375703 + 0.780155i
\(19\) −32798.7 + 26156.1i −0.251676 + 0.200705i −0.741199 0.671285i \(-0.765743\pi\)
0.489523 + 0.871991i \(0.337171\pi\)
\(20\) 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 −0.618634 0.785679i \(-0.712314\pi\)
0.903640 + 0.428294i \(0.140885\pi\)
\(24\) −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 −0.989186 0.146667i \(-0.953145\pi\)
0.731416 + 0.681931i \(0.238860\pi\)
\(30\) −272445. + 62183.7i −0.336352 + 0.0767700i
\(31\) −447585. 215545.i −0.484650 0.233395i 0.175571 0.984467i \(-0.443823\pi\)
−0.660221 + 0.751072i \(0.729537\pi\)
\(32\) 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 \(-0.673620\pi\)
0.518796 0.854898i \(-0.326380\pi\)
\(38\) 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 0.672595 0.740011i \(-0.265180\pi\)
−0.159208 + 0.987245i \(0.550894\pi\)
\(42\) 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 0.517343 0.855778i \(-0.326921\pi\)
−0.949441 + 0.313944i \(0.898350\pi\)
\(48\) 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 −0.980149 0.198264i \(-0.936470\pi\)
0.969107 + 0.246641i \(0.0793267\pi\)
\(54\) 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 −0.543526 0.839392i \(-0.682911\pi\)
0.853899 0.520439i \(-0.174232\pi\)
\(60\) 1.67881e6 7.35535e6i 0.129538 0.567542i
\(61\) 8.30184e6 + 1.72390e7i 0.599591 + 1.24506i 0.951101 + 0.308880i \(0.0999540\pi\)
−0.351510 + 0.936184i \(0.614332\pi\)
\(62\) −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 0.740902 0.671613i \(-0.234398\pi\)
−0.819640 + 0.572879i \(0.805827\pi\)
\(68\) −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 −0.518428 0.855121i \(-0.673483\pi\)
0.718320 + 0.695712i \(0.244911\pi\)
\(72\) −1.80130e7 + 3.74045e7i −0.670282 + 1.39185i
\(73\) 4.41379e7 1.00742e7i 1.55425 0.354747i 0.642759 0.766069i \(-0.277790\pi\)
0.911490 + 0.411322i \(0.134933\pi\)
\(74\) −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 −0.280291 0.959915i \(-0.590431\pi\)
0.575733 + 0.817638i \(0.304717\pi\)
\(84\) −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 −0.958269 0.285868i \(-0.907718\pi\)
0.373970 0.927441i \(-0.377996\pi\)
\(90\) 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 −0.240925 0.970544i \(-0.577451\pi\)
0.999821 + 0.0189178i \(0.00602208\pi\)
\(98\) −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 0.742223 0.670153i \(-0.233771\pi\)
−0.818511 + 0.574491i \(0.805200\pi\)
\(102\) 2.86121e7 1.25358e8i 0.264331 1.15811i
\(103\) −3.09037e7 + 1.35398e8i −0.274575 + 1.20299i 0.629971 + 0.776618i \(0.283067\pi\)
−0.904547 + 0.426375i \(0.859791\pi\)
\(104\) −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 −0.490462 0.871462i \(-0.663172\pi\)
0.375539 + 0.926807i \(0.377458\pi\)
\(108\) 6.76254e7 + 1.40426e8i 0.497067 + 1.03217i
\(109\) 8.18875e7 1.02684e8i 0.580112 0.727437i −0.402020 0.915631i \(-0.631692\pi\)
0.982132 + 0.188193i \(0.0602632\pi\)
\(110\) −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 0.732167 0.681126i \(-0.238509\pi\)
0.364130 + 0.931348i \(0.381366\pi\)
\(114\) 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 0.323340 0.946283i \(-0.395194\pi\)
−0.538235 + 0.842795i \(0.680909\pi\)
\(128\) 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 −0.238651 0.971105i \(-0.576705\pi\)
0.908037 0.418889i \(-0.137580\pi\)
\(132\) −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 −0.942364 0.334590i \(-0.891402\pi\)
−0.703868 + 0.710331i \(0.748545\pi\)
\(138\) −8.12769e7 + 1.01918e8i −0.224105 + 0.281018i
\(139\) 8.11894e7 3.55714e8i 0.217490 0.952888i −0.741834 0.670583i \(-0.766044\pi\)
0.959325 0.282305i \(-0.0910989\pi\)
\(140\) 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 0.976204 0.216856i \(-0.0695802\pi\)
0.00580683 + 0.999983i \(0.498152\pi\)
\(150\) 2.89608e8 1.39468e8i 0.572066 0.275492i
\(151\) 3.27705e8 + 6.80486e8i 0.630340 + 1.30892i 0.934387 + 0.356258i \(0.115948\pi\)
−0.304047 + 0.952657i \(0.598338\pi\)
\(152\) −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 −0.540018 0.841653i \(-0.681583\pi\)
0.700386 + 0.713764i \(0.253011\pi\)
\(158\) −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 0.748521 0.663111i \(-0.230764\pi\)
−0.479924 + 0.877310i \(0.659336\pi\)
\(164\) 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 −0.967163 0.254156i \(-0.918202\pi\)
0.761110 0.648623i \(-0.224655\pi\)
\(168\) −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 \(-0.699945\pi\)
0.587646 0.809118i \(-0.300055\pi\)
\(180\) −6.56087e8 + 1.49748e8i −0.624988 + 0.142649i
\(181\) 1.50914e8 1.89240e8i 0.140609 0.176319i −0.706540 0.707673i \(-0.749745\pi\)
0.847150 + 0.531354i \(0.178317\pi\)
\(182\) −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 −0.847794 0.530326i \(-0.822070\pi\)
0.328378 + 0.944546i \(0.393498\pi\)
\(192\) −1.30352e8 1.03952e8i −0.0959207 0.0764942i
\(193\) −1.71982e9 + 8.28222e8i −1.23952 + 0.596922i −0.934683 0.355482i \(-0.884317\pi\)
−0.304838 + 0.952404i \(0.598602\pi\)
\(194\) −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 −0.557854 0.829939i \(-0.688375\pi\)
0.301056 + 0.953606i \(0.402661\pi\)
\(198\) 1.38699e9 + 3.16571e8i 0.902426 + 0.205973i
\(199\) −2.66147e8 6.07462e7i −0.169710 0.0387353i 0.136821 0.990596i \(-0.456311\pi\)
−0.306532 + 0.951860i \(0.599169\pi\)
\(200\) −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 −0.784287 0.620398i \(-0.786971\pi\)
0.430323 + 0.902675i \(0.358400\pi\)
\(212\) −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 −0.846151 0.532944i \(-0.821086\pi\)
−0.531120 + 0.847297i \(0.678229\pi\)
\(224\) 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 0.132564 0.991175i \(-0.457679\pi\)
0.692279 0.721630i \(-0.256607\pi\)
\(228\) 2.56828e8 + 1.12524e9i 0.0950392 + 0.416394i
\(229\) −7.19544e8 3.46514e8i −0.261647 0.126002i 0.298462 0.954421i \(-0.403526\pi\)
−0.560109 + 0.828419i \(0.689241\pi\)
\(230\) −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 0.816900 0.576780i \(-0.195691\pi\)
−0.960273 + 0.279061i \(0.909977\pi\)
\(234\) 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 0.504032 0.863685i \(-0.331850\pi\)
−0.954188 + 0.299206i \(0.903278\pi\)
\(240\) 8.85174e8 4.26278e8i 0.266799 0.128484i
\(241\) 2.34735e9 + 5.35768e8i 0.695841 + 0.158821i 0.555790 0.831323i \(-0.312416\pi\)
0.140052 + 0.990144i \(0.455273\pi\)
\(242\) −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 \(-0.790251\pi\)
0.790639 0.612283i \(-0.209749\pi\)
\(258\) −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 −0.109468 0.993990i \(-0.534915\pi\)
0.332649 + 0.943051i \(0.392058\pi\)
\(264\) −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 −0.842735 0.538329i \(-0.819056\pi\)
0.712358 + 0.701816i \(0.247627\pi\)
\(270\) 6.86892e8 1.42635e9i 0.129251 0.268392i
\(271\) −6.31891e8 2.76849e9i −0.117156 0.513294i −0.999119 0.0419749i \(-0.986635\pi\)
0.881963 0.471319i \(-0.156222\pi\)
\(272\) −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 −0.976290 0.216468i \(-0.930546\pi\)
−0.00620375 + 0.999981i \(0.501975\pi\)
\(278\) −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 −0.676502 0.736440i \(-0.736505\pi\)
0.868512 + 0.495668i \(0.165077\pi\)
\(282\) 2.14870e9 + 2.69439e9i 0.339766 + 0.426053i
\(283\) 1.71820e9 8.27440e8i 0.267872 0.129000i −0.295127 0.955458i \(-0.595362\pi\)
0.562999 + 0.826458i \(0.309648\pi\)
\(284\) 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 0.982694 0.185234i \(-0.0593044\pi\)
−0.965747 + 0.259485i \(0.916447\pi\)
\(294\) 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 0.810968 + 0.585091i \(0.198941\pi\)
−0.984518 + 0.175283i \(0.943916\pi\)
\(312\) −8.38071e9 + 1.05091e10i −0.884428 + 1.10904i
\(313\) 2.16194e9 4.48930e9i 0.225250 0.467737i −0.757461 0.652880i \(-0.773561\pi\)
0.982712 + 0.185143i \(0.0592748\pi\)
\(314\) −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 0.575193 + 0.818018i \(0.304927\pi\)
−0.873155 + 0.487442i \(0.837930\pi\)
\(318\) 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 −0.793300 0.608831i \(-0.791639\pi\)
−0.450576 + 0.892738i \(0.648781\pi\)
\(332\) 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 0.979267 0.202572i \(-0.0649301\pi\)
−0.768941 + 0.639320i \(0.779216\pi\)
\(348\) 7.20787e9 + 9.03838e9i 0.491462 + 0.616274i
\(349\) −7.11741e9 + 1.62450e9i −0.479756 + 0.109501i −0.455558 0.890206i \(-0.650560\pi\)
−0.0241979 + 0.999707i \(0.507703\pi\)
\(350\) 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 0.459154 0.888356i \(-0.348152\pi\)
0.763912 0.645320i \(-0.223276\pi\)
\(354\) −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 0.993899 + 0.110291i \(0.0351782\pi\)
−0.113638 + 0.993522i \(0.536250\pi\)
\(360\) −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 −0.821230 0.570598i \(-0.806712\pi\)
0.739032 + 0.673670i \(0.235283\pi\)
\(368\) 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 −0.724688 0.689077i \(-0.758016\pi\)
0.990578 + 0.136951i \(0.0437304\pi\)
\(374\) 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 0.757211 + 0.653171i \(0.226562\pi\)
−0.398823 + 0.917028i \(0.630581\pi\)
\(380\) −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 −0.784848 0.619688i \(-0.787259\pi\)
0.429506 + 0.903064i \(0.358688\pi\)
\(384\) 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 −0.997458 0.0712612i \(-0.977298\pi\)
0.677619 + 0.735413i \(0.263012\pi\)
\(390\) 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 −0.855078 0.518500i \(-0.826491\pi\)
0.995367 0.0961478i \(-0.0306521\pi\)
\(398\) −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 0.787058 0.616879i \(-0.211603\pi\)
0.00842770 + 0.999964i \(0.497317\pi\)
\(402\) 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 0.782167 + 0.623069i \(0.214115\pi\)
−0.000537752 1.00000i \(0.500171\pi\)
\(410\) 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 0.672956 0.739683i \(-0.265024\pi\)
−0.571391 + 0.820678i \(0.693596\pi\)
\(420\) −3.26549e10 7.45328e9i −1.04943 0.239525i
\(421\) 1.73859e10 + 1.38648e10i 0.553437 + 0.441352i 0.859850 0.510547i \(-0.170557\pi\)
−0.306412 + 0.951899i \(0.599129\pi\)
\(422\) 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 0.644352 0.764729i \(-0.277127\pi\)
−0.999636 + 0.0269738i \(0.991413\pi\)
\(434\) 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 −0.997753 0.0669999i \(-0.978657\pi\)
0.287341 + 0.957828i \(0.407229\pi\)
\(440\) 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 0.926275 + 0.376847i \(0.122992\pi\)
−0.671037 + 0.741424i \(0.734151\pi\)
\(444\) −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 −0.206262 0.978497i \(-0.566130\pi\)
0.908066 + 0.418827i \(0.137559\pi\)
\(450\) −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 0.703581 0.710615i \(-0.251583\pi\)
0.325580 + 0.945514i \(0.394440\pi\)
\(458\) −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 0.160781 0.986990i \(-0.448599\pi\)
−0.671415 + 0.741082i \(0.734313\pi\)
\(462\) 5.53605e10 + 4.41485e10i 1.21516 + 0.969054i
\(463\) 7.17284e10 + 1.63715e10i 1.56087 + 0.356259i 0.913798 0.406169i \(-0.133135\pi\)
0.647074 + 0.762427i \(0.275993\pi\)
\(464\) −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 \(0.205870\pi\)
−0.798040 + 0.602604i \(0.794130\pi\)
\(468\) 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 0.281010 0.959705i \(-0.409331\pi\)
−0.575121 + 0.818068i \(0.695045\pi\)
\(488\) 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 0.992834 + 0.119501i \(0.0381294\pi\)
−0.525593 + 0.850736i \(0.676156\pi\)
\(492\) 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 0.187292 0.982304i \(-0.440029\pi\)
−0.257462 + 0.966288i \(0.582886\pi\)
\(500\) −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 −0.234028 0.972230i \(-0.575191\pi\)
0.210983 + 0.977490i \(0.432334\pi\)
\(504\) 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 −0.111599 0.993753i \(-0.535597\pi\)
0.330626 + 0.943762i \(0.392740\pi\)
\(522\) −3.81954e10 −0.514433
\(523\) 2.15523e9i 0.0288063i 0.999896 + 0.0144032i \(0.00458482\pi\)
−0.999896 + 0.0144032i \(0.995415\pi\)
\(524\) 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 −0.0167116 0.999860i \(-0.505320\pi\)
0.771303 + 0.636468i \(0.219605\pi\)
\(542\) −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 0.202711 0.979239i \(-0.435025\pi\)
−0.639212 + 0.769031i \(0.720739\pi\)
\(548\) −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 −0.154763 0.987952i \(-0.549461\pi\)
−0.868905 + 0.494979i \(0.835176\pi\)
\(558\) 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 0.624170 0.781288i \(-0.285437\pi\)
−0.900591 + 0.434668i \(0.856866\pi\)
\(564\) −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 −0.968235 0.250042i \(-0.919556\pi\)
0.980839 + 0.194822i \(0.0624128\pi\)
\(570\) 7.30936e9 9.16564e9i 0.0692436 0.0868288i
\(571\) −3.58243e10 + 7.43900e10i −0.337003 + 0.699794i −0.998753 0.0499311i \(-0.984100\pi\)
0.661750 + 0.749725i \(0.269814\pi\)
\(572\) −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 0.985402 0.170246i \(-0.0544563\pi\)
−0.747492 + 0.664271i \(0.768742\pi\)
\(578\) −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 −0.539009 0.842300i \(-0.681201\pi\)
0.701241 + 0.712925i \(0.252630\pi\)
\(588\) −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 0.977148 + 0.212560i \(0.0681800\pi\)
0.424666 + 0.905350i \(0.360391\pi\)
\(594\) −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 0.0366011 0.999330i \(-0.488347\pi\)
0.804128 + 0.594456i \(0.202633\pi\)
\(600\) 1.32271e11 + 6.36982e10i 1.02061 + 0.491499i
\(601\) 2.34474e11i 1.79720i −0.438770 0.898599i \(-0.644586\pi\)
0.438770 0.898599i \(-0.355414\pi\)
\(602\) −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 0.329125 0.944286i \(-0.393246\pi\)
0.706242 + 0.707971i \(0.250389\pi\)
\(608\) −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 −0.934850 0.355042i \(-0.884467\pi\)
0.554164 + 0.832407i \(0.313038\pi\)
\(614\) 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 0.566344 0.824169i \(-0.308357\pi\)
−0.929529 + 0.368750i \(0.879786\pi\)
\(618\) 3.14929e10 1.37979e11i 0.215903 0.945933i
\(619\) −2.04954e10 + 8.97961e10i −0.139603 + 0.611639i 0.855919 + 0.517109i \(0.172992\pi\)
−0.995522 + 0.0945296i \(0.969865\pi\)
\(620\) −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 −0.658380 0.752686i \(-0.728758\pi\)
0.998967 + 0.0454501i \(0.0144722\pi\)
\(632\) −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 −0.839220 0.543791i \(-0.816988\pi\)
0.343413 + 0.939184i \(0.388417\pi\)
\(642\) 1.53513e10 7.39282e9i 0.0903663 0.0435181i
\(643\) 4.24418e10 + 2.04389e10i 0.248285 + 0.119568i 0.553888 0.832591i \(-0.313144\pi\)
−0.305603 + 0.952159i \(0.598858\pi\)
\(644\) 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 −0.960788 0.277284i \(-0.910566\pi\)
0.815831 + 0.578291i \(0.196280\pi\)
\(648\) −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 −0.312280 0.949990i \(-0.601093\pi\)
0.130831 + 0.991405i \(0.458235\pi\)
\(654\) −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 0.211712 0.977332i \(-0.432096\pi\)
−0.632109 + 0.774880i \(0.717810\pi\)
\(660\) −7.36205e10 9.23172e10i −0.387992 0.486527i
\(661\) −3.11528e10 + 1.36489e11i −0.163189 + 0.714977i 0.825426 + 0.564510i \(0.190935\pi\)
−0.988615 + 0.150467i \(0.951922\pi\)
\(662\) −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 −0.524659 0.851313i \(-0.675807\pi\)
0.713221 + 0.700939i \(0.247236\pi\)
\(674\) 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 0.536442 0.843937i \(-0.319768\pi\)
−0.703408 + 0.710786i \(0.748339\pi\)
\(678\) −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 −0.988971 0.148112i \(-0.952681\pi\)
0.826769 0.562542i \(-0.190177\pi\)
\(684\) 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 0.865132 0.501545i \(-0.167235\pi\)
−0.931524 + 0.363679i \(0.881520\pi\)
\(692\) 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 0.994075 0.108699i \(-0.0346685\pi\)
−0.942793 + 0.333378i \(0.891811\pi\)
\(702\) −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 −0.487194 0.873294i \(-0.661980\pi\)
0.379008 + 0.925393i \(0.376265\pi\)
\(710\) −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 0.0360193 0.999351i \(-0.488532\pi\)
−0.758866 + 0.651246i \(0.774247\pi\)
\(720\) −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 −0.449881 0.893088i \(-0.648534\pi\)
0.770589 + 0.637333i \(0.219962\pi\)
\(728\) −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 −0.981226 0.192859i \(-0.938224\pi\)
0.762568 + 0.646908i \(0.223938\pi\)
\(734\) 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 −0.129413 0.991591i \(-0.541309\pi\)
0.313638 + 0.949543i \(0.398452\pi\)
\(740\) 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 −0.276352 0.961056i \(-0.589126\pi\)
0.923687 0.383148i \(-0.125160\pi\)
\(744\) 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 0.998984 + 0.0450616i \(0.0143484\pi\)
0.266227 + 0.963910i \(0.414223\pi\)
\(752\) 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