Properties

Label 43.9.f.a.2.2
Level 43
Weight 9
Character 43.2
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 2.2
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-13.1485 - 27.3031i) q^{2} +(64.2865 - 133.492i) q^{3} +(-412.962 + 517.838i) q^{4} +(-972.457 - 221.957i) q^{5} -4490.02 q^{6} -292.786i q^{7} +(12005.0 + 2740.07i) q^{8} +(-9596.72 - 12033.9i) q^{9} +O(q^{10})\) \(q+(-13.1485 - 27.3031i) q^{2} +(64.2865 - 133.492i) q^{3} +(-412.962 + 517.838i) q^{4} +(-972.457 - 221.957i) q^{5} -4490.02 q^{6} -292.786i q^{7} +(12005.0 + 2740.07i) q^{8} +(-9596.72 - 12033.9i) q^{9} +(6726.21 + 29469.4i) q^{10} +(2589.34 + 3246.93i) q^{11} +(42579.5 + 88417.3i) q^{12} +(8875.90 - 38887.9i) q^{13} +(-7993.97 + 3849.69i) q^{14} +(-92145.3 + 115547. i) q^{15} +(-45305.1 - 198495. i) q^{16} +(3387.48 + 14841.5i) q^{17} +(-202380. + 420247. i) q^{18} +(-103922. - 82875.2i) q^{19} +(516526. - 411915. i) q^{20} +(-39084.7 - 18822.2i) q^{21} +(54605.3 - 113389. i) q^{22} +(173498. + 217559. i) q^{23} +(1.13754e6 - 1.42643e6i) q^{24} +(544466. + 262201. i) q^{25} +(-1.17846e6 + 268976. i) q^{26} +(-1.27563e6 + 291155. i) q^{27} +(151616. + 120910. i) q^{28} +(-227500. - 472408. i) q^{29} +(4.36635e6 + 996590. i) q^{30} +(358401. - 172597. i) q^{31} +(-2.35923e6 + 1.88142e6i) q^{32} +(599900. - 136923. i) q^{33} +(360679. - 287632. i) q^{34} +(-64985.9 + 284722. i) q^{35} +1.01947e7 q^{36} -2.64788e6i q^{37} +(-896330. + 3.92708e6i) q^{38} +(-4.62063e6 - 3.68483e6i) q^{39} +(-1.10662e7 - 5.32921e6i) q^{40} +(582380. - 280459. i) q^{41} +1.31462e6i q^{42} +(-2.87809e6 + 1.84521e6i) q^{43} -2.75068e6 q^{44} +(6.66138e6 + 1.38325e7i) q^{45} +(3.65881e6 - 7.59759e6i) q^{46} +(-1.74737e6 + 2.19113e6i) q^{47} +(-2.94100e7 - 6.71264e6i) q^{48} +5.67908e6 q^{49} -1.83131e7i q^{50} +(2.19899e6 + 501906. i) q^{51} +(1.64722e7 + 2.06555e7i) q^{52} +(1.88952e6 + 8.27854e6i) q^{53} +(2.47220e7 + 3.10004e7i) q^{54} +(-1.79734e6 - 3.73222e6i) q^{55} +(802256. - 3.51491e6i) q^{56} +(-1.77440e7 + 8.54506e6i) q^{57} +(-9.90692e6 + 1.24229e7i) q^{58} +(2.97491e6 + 1.30339e7i) q^{59} +(-2.17819e7 - 9.54328e7i) q^{60} +(-2.87808e6 + 5.97639e6i) q^{61} +(-9.42486e6 - 7.51608e6i) q^{62} +(-3.52336e6 + 2.80979e6i) q^{63} +(3.54292e7 + 1.70618e7i) q^{64} +(-1.72629e7 + 3.58467e7i) q^{65} +(-1.16262e7 - 1.45788e7i) q^{66} +(1.69421e7 - 2.12447e7i) q^{67} +(-9.08440e6 - 4.37482e6i) q^{68} +(4.01960e7 - 9.17448e6i) q^{69} +(8.62825e6 - 1.96934e6i) q^{70} +(-8.72754e6 - 6.95998e6i) q^{71} +(-8.22353e7 - 1.70763e8i) q^{72} +(8.26669e6 + 1.88682e6i) q^{73} +(-7.22952e7 + 3.48155e7i) q^{74} +(7.00036e7 - 5.58260e7i) q^{75} +(8.58319e7 - 1.95906e7i) q^{76} +(950657. - 758124. i) q^{77} +(-3.98530e7 + 1.74607e8i) q^{78} +8.35677e6 q^{79} +2.03083e8i q^{80} +(-2.06674e7 + 9.05498e7i) q^{81} +(-1.53148e7 - 1.22131e7i) q^{82} +(-2.44588e6 - 1.17787e6i) q^{83} +(2.58874e7 - 1.24667e7i) q^{84} -1.51846e7i q^{85} +(8.82223e7 + 5.43191e7i) q^{86} -7.76880e7 q^{87} +(2.21883e7 + 4.60745e7i) q^{88} +(-1.26042e7 + 2.61730e7i) q^{89} +(2.90083e8 - 3.63752e8i) q^{90} +(-1.13858e7 - 2.59874e6i) q^{91} -1.84308e8 q^{92} -5.89395e7i q^{93} +(8.27998e7 + 1.88985e7i) q^{94} +(8.26651e7 + 1.03659e8i) q^{95} +(9.94889e7 + 4.35889e8i) q^{96} +(-9.65237e7 - 1.21037e8i) q^{97} +(-7.46712e7 - 1.55056e8i) q^{98} +(1.42241e7 - 6.23197e7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −13.1485 27.3031i −0.821779 1.70644i −0.700301 0.713848i \(-0.746951\pi\)
−0.121479 0.992594i \(-0.538764\pi\)
\(3\) 64.2865 133.492i 0.793660 1.64805i 0.0325150 0.999471i \(-0.489648\pi\)
0.761145 0.648581i \(-0.224637\pi\)
\(4\) −412.962 + 517.838i −1.61313 + 2.02281i
\(5\) −972.457 221.957i −1.55593 0.355131i −0.643853 0.765149i \(-0.722665\pi\)
−0.912077 + 0.410018i \(0.865522\pi\)
\(6\) −4490.02 −3.46452
\(7\) 292.786i 0.121944i −0.998139 0.0609718i \(-0.980580\pi\)
0.998139 0.0609718i \(-0.0194200\pi\)
\(8\) 12005.0 + 2740.07i 2.93092 + 0.668963i
\(9\) −9596.72 12033.9i −1.46269 1.83416i
\(10\) 6726.21 + 29469.4i 0.672621 + 2.94694i
\(11\) 2589.34 + 3246.93i 0.176855 + 0.221770i 0.862356 0.506302i \(-0.168988\pi\)
−0.685501 + 0.728072i \(0.740417\pi\)
\(12\) 42579.5 + 88417.3i 2.05341 + 4.26395i
\(13\) 8875.90 38887.9i 0.310770 1.36157i −0.542479 0.840069i \(-0.682514\pi\)
0.853249 0.521503i \(-0.174628\pi\)
\(14\) −7993.97 + 3849.69i −0.208090 + 0.100211i
\(15\) −92145.3 + 115547.i −1.82015 + 2.28240i
\(16\) −45305.1 198495.i −0.691301 3.02879i
\(17\) 3387.48 + 14841.5i 0.0405584 + 0.177698i 0.991150 0.132746i \(-0.0423795\pi\)
−0.950592 + 0.310444i \(0.899522\pi\)
\(18\) −202380. + 420247.i −1.92787 + 4.00327i
\(19\) −103922. 82875.2i −0.797433 0.635931i 0.137602 0.990488i \(-0.456061\pi\)
−0.935035 + 0.354556i \(0.884632\pi\)
\(20\) 516526. 411915.i 3.22829 2.57447i
\(21\) −39084.7 18822.2i −0.200969 0.0967817i
\(22\) 54605.3 113389.i 0.233101 0.484039i
\(23\) 173498. + 217559.i 0.619987 + 0.777439i 0.988343 0.152246i \(-0.0486507\pi\)
−0.368356 + 0.929685i \(0.620079\pi\)
\(24\) 1.13754e6 1.42643e6i 3.42864 4.29938i
\(25\) 544466. + 262201.i 1.39383 + 0.671234i
\(26\) −1.17846e6 + 268976.i −2.57883 + 0.588601i
\(27\) −1.27563e6 + 291155.i −2.40033 + 0.547859i
\(28\) 151616. + 120910.i 0.246668 + 0.196711i
\(29\) −227500. 472408.i −0.321654 0.667922i 0.675962 0.736937i \(-0.263729\pi\)
−0.997616 + 0.0690154i \(0.978014\pi\)
\(30\) 4.36635e6 + 996590.i 5.39055 + 1.23036i
\(31\) 358401. 172597.i 0.388082 0.186890i −0.229661 0.973271i \(-0.573762\pi\)
0.617742 + 0.786380i \(0.288047\pi\)
\(32\) −2.35923e6 + 1.88142e6i −2.24994 + 1.79427i
\(33\) 599900. 136923.i 0.505851 0.115457i
\(34\) 360679. 287632.i 0.269901 0.215239i
\(35\) −64985.9 + 284722.i −0.0433059 + 0.189736i
\(36\) 1.01947e7 6.06966
\(37\) 2.64788e6i 1.41283i −0.707796 0.706417i \(-0.750311\pi\)
0.707796 0.706417i \(-0.249689\pi\)
\(38\) −896330. + 3.92708e6i −0.429867 + 1.88337i
\(39\) −4.62063e6 3.68483e6i −1.99730 1.59279i
\(40\) −1.10662e7 5.32921e6i −4.32274 2.08172i
\(41\) 582380. 280459.i 0.206097 0.0992509i −0.327988 0.944682i \(-0.606371\pi\)
0.534085 + 0.845431i \(0.320656\pi\)
\(42\) 1.31462e6i 0.422476i
\(43\) −2.87809e6 + 1.84521e6i −0.841842 + 0.539724i
\(44\) −2.75068e6 −0.733889
\(45\) 6.66138e6 + 1.38325e7i 1.62448 + 3.37327i
\(46\) 3.65881e6 7.59759e6i 0.817162 1.69685i
\(47\) −1.74737e6 + 2.19113e6i −0.358091 + 0.449031i −0.927947 0.372713i \(-0.878428\pi\)
0.569856 + 0.821745i \(0.306999\pi\)
\(48\) −2.94100e7 6.71264e6i −5.54026 1.26453i
\(49\) 5.67908e6 0.985130
\(50\) 1.83131e7i 2.93010i
\(51\) 2.19899e6 + 501906.i 0.325045 + 0.0741894i
\(52\) 1.64722e7 + 2.06555e7i 2.25288 + 2.82503i
\(53\) 1.88952e6 + 8.27854e6i 0.239469 + 1.04918i 0.941494 + 0.337029i \(0.109422\pi\)
−0.702026 + 0.712151i \(0.747721\pi\)
\(54\) 2.47220e7 + 3.10004e7i 2.90743 + 3.64580i
\(55\) −1.79734e6 3.73222e6i −0.196417 0.407865i
\(56\) 802256. 3.51491e6i 0.0815757 0.357407i
\(57\) −1.77440e7 + 8.54506e6i −1.68094 + 0.809498i
\(58\) −9.90692e6 + 1.24229e7i −0.875441 + 1.09777i
\(59\) 2.97491e6 + 1.30339e7i 0.245508 + 1.07564i 0.935917 + 0.352221i \(0.114574\pi\)
−0.690409 + 0.723420i \(0.742569\pi\)
\(60\) −2.17819e7 9.54328e7i −1.68070 7.36364i
\(61\) −2.87808e6 + 5.97639e6i −0.207866 + 0.431638i −0.978671 0.205433i \(-0.934140\pi\)
0.770805 + 0.637071i \(0.219854\pi\)
\(62\) −9.42486e6 7.51608e6i −0.637835 0.508656i
\(63\) −3.52336e6 + 2.80979e6i −0.223663 + 0.178366i
\(64\) 3.54292e7 + 1.70618e7i 2.11174 + 1.01696i
\(65\) −1.72629e7 + 3.58467e7i −0.967073 + 2.00815i
\(66\) −1.16262e7 1.45788e7i −0.612719 0.768326i
\(67\) 1.69421e7 2.12447e7i 0.840753 1.05427i −0.157022 0.987595i \(-0.550189\pi\)
0.997775 0.0666756i \(-0.0212392\pi\)
\(68\) −9.08440e6 4.37482e6i −0.424874 0.204609i
\(69\) 4.01960e7 9.17448e6i 1.77332 0.404748i
\(70\) 8.62825e6 1.96934e6i 0.359361 0.0820217i
\(71\) −8.72754e6 6.95998e6i −0.343446 0.273889i 0.436541 0.899684i \(-0.356203\pi\)
−0.779988 + 0.625795i \(0.784775\pi\)
\(72\) −8.22353e7 1.70763e8i −3.06005 6.35425i
\(73\) 8.26669e6 + 1.88682e6i 0.291099 + 0.0664413i 0.365576 0.930781i \(-0.380872\pi\)
−0.0744779 + 0.997223i \(0.523729\pi\)
\(74\) −7.22952e7 + 3.48155e7i −2.41092 + 1.16104i
\(75\) 7.00036e7 5.58260e7i 2.21246 1.76438i
\(76\) 8.58319e7 1.95906e7i 2.57273 0.587209i
\(77\) 950657. 758124.i 0.0270434 0.0215664i
\(78\) −3.98530e7 + 1.74607e8i −1.07667 + 4.71719i
\(79\) 8.35677e6 0.214551 0.107275 0.994229i \(-0.465787\pi\)
0.107275 + 0.994229i \(0.465787\pi\)
\(80\) 2.03083e8i 4.95809i
\(81\) −2.06674e7 + 9.05498e7i −0.480116 + 2.10352i
\(82\) −1.53148e7 1.22131e7i −0.338732 0.270130i
\(83\) −2.44588e6 1.17787e6i −0.0515374 0.0248191i 0.407938 0.913010i \(-0.366248\pi\)
−0.459475 + 0.888191i \(0.651962\pi\)
\(84\) 2.58874e7 1.24667e7i 0.519961 0.250400i
\(85\) 1.51846e7i 0.290889i
\(86\) 8.82223e7 + 5.43191e7i 1.61282 + 0.993022i
\(87\) −7.76880e7 −1.35605
\(88\) 2.21883e7 + 4.60745e7i 0.369993 + 0.768299i
\(89\) −1.26042e7 + 2.61730e7i −0.200889 + 0.417150i −0.976938 0.213522i \(-0.931507\pi\)
0.776049 + 0.630672i \(0.217221\pi\)
\(90\) 2.90083e8 3.63752e8i 4.42132 5.54416i
\(91\) −1.13858e7 2.59874e6i −0.166035 0.0378964i
\(92\) −1.84308e8 −2.57273
\(93\) 5.89395e7i 0.787906i
\(94\) 8.27998e7 + 1.88985e7i 1.06052 + 0.242056i
\(95\) 8.26651e7 + 1.03659e8i 1.01491 + 1.27266i
\(96\) 9.94889e7 + 4.35889e8i 1.17136 + 5.13206i
\(97\) −9.65237e7 1.21037e8i −1.09030 1.36720i −0.924564 0.381026i \(-0.875571\pi\)
−0.165738 0.986170i \(-0.553001\pi\)
\(98\) −7.46712e7 1.55056e8i −0.809559 1.68107i
\(99\) 1.42241e7 6.23197e7i 0.148075 0.648761i
\(100\) −3.60622e8 + 1.73666e8i −3.60622 + 1.73666i
\(101\) −8.93218e7 + 1.12006e8i −0.858364 + 1.07636i 0.137938 + 0.990441i \(0.455953\pi\)
−0.996303 + 0.0859141i \(0.972619\pi\)
\(102\) −1.52098e7 6.66386e7i −0.140515 0.615638i
\(103\) 4.88793e7 + 2.14154e8i 0.434286 + 1.90273i 0.430183 + 0.902742i \(0.358449\pi\)
0.00410378 + 0.999992i \(0.498694\pi\)
\(104\) 2.13111e8 4.42530e8i 1.82168 3.78277i
\(105\) 3.38305e7 + 2.69789e7i 0.278324 + 0.221956i
\(106\) 2.01185e8 1.60440e8i 1.59357 1.27083i
\(107\) 1.64573e7 + 7.92543e6i 0.125552 + 0.0604628i 0.495605 0.868548i \(-0.334946\pi\)
−0.370053 + 0.929011i \(0.620661\pi\)
\(108\) 3.76017e8 7.80807e8i 2.76384 5.73917i
\(109\) −1.43046e7 1.79374e7i −0.101338 0.127073i 0.728577 0.684964i \(-0.240182\pi\)
−0.829914 + 0.557891i \(0.811611\pi\)
\(110\) −7.82688e7 + 9.81460e7i −0.534586 + 0.670350i
\(111\) −3.53471e8 1.70223e8i −2.32842 1.12131i
\(112\) −5.81165e7 + 1.32647e7i −0.369341 + 0.0842997i
\(113\) 3.06232e7 6.98955e6i 0.187818 0.0428682i −0.127577 0.991829i \(-0.540720\pi\)
0.315395 + 0.948960i \(0.397863\pi\)
\(114\) 4.66613e8 + 3.72111e8i 2.76272 + 2.20320i
\(115\) −1.20430e8 2.50076e8i −0.688563 1.42982i
\(116\) 3.38580e8 + 7.72787e7i 1.86995 + 0.426803i
\(117\) −5.53152e8 + 2.66384e8i −2.95190 + 1.42156i
\(118\) 3.16751e8 2.52600e8i 1.63377 1.30288i
\(119\) 4.34539e6 991807.i 0.0216691 0.00494583i
\(120\) −1.42282e9 + 1.13466e9i −6.86157 + 5.47192i
\(121\) 4.38615e7 1.92170e8i 0.204617 0.896486i
\(122\) 2.01016e8 0.907386
\(123\) 9.57729e7i 0.418430i
\(124\) −5.86289e7 + 2.56870e8i −0.247985 + 1.08649i
\(125\) −1.66643e8 1.32894e8i −0.682571 0.544333i
\(126\) 1.23043e8 + 5.92542e7i 0.488173 + 0.235092i
\(127\) −1.17414e8 + 5.65436e7i −0.451341 + 0.217354i −0.645723 0.763571i \(-0.723444\pi\)
0.194382 + 0.980926i \(0.437730\pi\)
\(128\) 4.19164e8i 1.56151i
\(129\) 6.12985e7 + 5.02825e8i 0.221356 + 1.81576i
\(130\) 1.20570e9 4.22151
\(131\) −2.47706e8 5.14367e8i −0.841107 1.74658i −0.642167 0.766565i \(-0.721964\pi\)
−0.198940 0.980012i \(-0.563750\pi\)
\(132\) −1.76832e8 + 3.67195e8i −0.582458 + 1.20949i
\(133\) −2.42647e7 + 3.04270e7i −0.0775477 + 0.0972418i
\(134\) −8.02809e8 1.83236e8i −2.48997 0.568318i
\(135\) 1.30512e9 3.92930
\(136\) 1.87455e8i 0.547950i
\(137\) −2.58851e8 5.90810e7i −0.734797 0.167713i −0.161283 0.986908i \(-0.551563\pi\)
−0.573514 + 0.819196i \(0.694420\pi\)
\(138\) −7.79008e8 9.76845e8i −2.14796 2.69345i
\(139\) −2.91547e7 1.27735e8i −0.0780997 0.342177i 0.920749 0.390156i \(-0.127579\pi\)
−0.998848 + 0.0479791i \(0.984722\pi\)
\(140\) −1.20603e8 1.51232e8i −0.313940 0.393668i
\(141\) 1.80167e8 + 3.74120e8i 0.455825 + 0.946531i
\(142\) −7.52751e7 + 3.29802e8i −0.185139 + 0.811147i
\(143\) 1.49249e8 7.18745e7i 0.356917 0.171882i
\(144\) −1.95388e9 + 2.45009e9i −4.54411 + 5.69814i
\(145\) 1.16379e8 + 5.09892e8i 0.263272 + 1.15347i
\(146\) −5.71783e7 2.50515e8i −0.125840 0.551343i
\(147\) 3.65088e8 7.58113e8i 0.781858 1.62355i
\(148\) 1.37117e9 + 1.09347e9i 2.85789 + 2.27909i
\(149\) −1.77281e8 + 1.41377e8i −0.359681 + 0.286836i −0.786611 0.617448i \(-0.788166\pi\)
0.426930 + 0.904285i \(0.359595\pi\)
\(150\) −2.44466e9 1.17729e9i −4.82896 2.32551i
\(151\) −1.40676e8 + 2.92116e8i −0.270590 + 0.561886i −0.991342 0.131308i \(-0.958082\pi\)
0.720752 + 0.693193i \(0.243797\pi\)
\(152\) −1.02051e9 1.27968e9i −1.91180 2.39732i
\(153\) 1.46093e8 1.83194e8i 0.266601 0.334307i
\(154\) −3.31988e7 1.59877e7i −0.0590255 0.0284252i
\(155\) −3.86839e8 + 8.82935e7i −0.670198 + 0.152968i
\(156\) 3.81629e9 8.71043e8i 6.44381 1.47076i
\(157\) −6.28601e8 5.01293e8i −1.03461 0.825073i −0.0498082 0.998759i \(-0.515861\pi\)
−0.984801 + 0.173685i \(0.944432\pi\)
\(158\) −1.09879e8 2.28165e8i −0.176313 0.366118i
\(159\) 1.22659e9 + 2.79961e8i 1.91916 + 0.438036i
\(160\) 2.71185e9 1.30596e9i 4.13795 1.99273i
\(161\) 6.36984e7 5.07977e7i 0.0948036 0.0756033i
\(162\) 2.74403e9 6.26308e8i 3.98409 0.909343i
\(163\) −5.40240e8 + 4.30827e8i −0.765308 + 0.610313i −0.926363 0.376633i \(-0.877082\pi\)
0.161055 + 0.986945i \(0.448510\pi\)
\(164\) −9.52683e7 + 4.17398e8i −0.131696 + 0.576998i
\(165\) −6.13767e8 −0.828072
\(166\) 8.22672e7i 0.108341i
\(167\) −1.16524e8 + 5.10525e8i −0.149813 + 0.656373i 0.843123 + 0.537721i \(0.180715\pi\)
−0.992936 + 0.118652i \(0.962143\pi\)
\(168\) −4.17640e8 3.33056e8i −0.524282 0.418101i
\(169\) −6.98536e8 3.36397e8i −0.856332 0.412388i
\(170\) −4.14586e8 + 1.99654e8i −0.496385 + 0.239047i
\(171\) 2.04592e9i 2.39279i
\(172\) 2.33024e8 2.25239e9i 0.266248 2.57353i
\(173\) 6.23771e8 0.696372 0.348186 0.937426i \(-0.386798\pi\)
0.348186 + 0.937426i \(0.386798\pi\)
\(174\) 1.02148e9 + 2.12112e9i 1.11438 + 2.31403i
\(175\) 7.67689e7 1.59412e8i 0.0818527 0.169969i
\(176\) 5.27188e8 6.61073e8i 0.549433 0.688967i
\(177\) 1.93118e9 + 4.40778e8i 1.96756 + 0.449083i
\(178\) 8.80328e8 0.876929
\(179\) 1.66803e9i 1.62477i −0.583119 0.812387i \(-0.698168\pi\)
0.583119 0.812387i \(-0.301832\pi\)
\(180\) −9.91390e9 2.26278e9i −9.44397 2.15552i
\(181\) −5.82500e8 7.30432e8i −0.542727 0.680558i 0.432533 0.901618i \(-0.357620\pi\)
−0.975260 + 0.221060i \(0.929048\pi\)
\(182\) 7.87526e7 + 3.45038e8i 0.0717760 + 0.314471i
\(183\) 6.12781e8 + 7.68403e8i 0.546387 + 0.685148i
\(184\) 1.48672e9 + 3.08721e9i 1.29705 + 2.69336i
\(185\) −5.87714e8 + 2.57495e9i −0.501741 + 2.19827i
\(186\) −1.60923e9 + 7.74964e8i −1.34452 + 0.647485i
\(187\) −3.94180e7 + 4.94286e7i −0.0322350 + 0.0404215i
\(188\) −4.13054e8 1.80971e9i −0.330655 1.44870i
\(189\) 8.52461e7 + 3.73488e8i 0.0668079 + 0.292704i
\(190\) 1.74328e9 3.61997e9i 1.33768 2.77773i
\(191\) −5.87660e8 4.68643e8i −0.441563 0.352135i 0.377332 0.926078i \(-0.376842\pi\)
−0.818895 + 0.573943i \(0.805413\pi\)
\(192\) 4.55524e9 3.63268e9i 3.35202 2.67314i
\(193\) 9.01233e8 + 4.34011e8i 0.649543 + 0.312803i 0.729486 0.683996i \(-0.239760\pi\)
−0.0799429 + 0.996799i \(0.525474\pi\)
\(194\) −2.03554e9 + 4.22684e9i −1.43705 + 2.98407i
\(195\) 3.67549e9 + 4.60892e9i 2.54201 + 3.18757i
\(196\) −2.34524e9 + 2.94084e9i −1.58915 + 1.99273i
\(197\) 1.12224e9 + 5.40441e8i 0.745109 + 0.358826i 0.767607 0.640921i \(-0.221448\pi\)
−0.0224976 + 0.999747i \(0.507162\pi\)
\(198\) −1.88855e9 + 4.31048e8i −1.22876 + 0.280456i
\(199\) −2.64255e9 + 6.03146e8i −1.68505 + 0.384601i −0.954488 0.298250i \(-0.903597\pi\)
−0.730558 + 0.682851i \(0.760740\pi\)
\(200\) 5.81789e9 + 4.63961e9i 3.63618 + 2.89976i
\(201\) −1.74686e9 3.62739e9i −1.07022 2.22234i
\(202\) 4.23255e9 + 9.66052e8i 2.54212 + 0.580223i
\(203\) −1.38315e8 + 6.66088e7i −0.0814487 + 0.0392236i
\(204\) −1.16801e9 + 9.31455e8i −0.674412 + 0.537826i
\(205\) −6.28589e8 + 1.43471e8i −0.355919 + 0.0812362i
\(206\) 5.20438e9 4.15036e9i 2.89002 2.30471i
\(207\) 9.53078e8 4.17571e9i 0.519095 2.27430i
\(208\) −8.12116e9 −4.33875
\(209\) 5.52020e8i 0.289314i
\(210\) 2.91788e8 1.27841e9i 0.150034 0.657343i
\(211\) −4.73081e8 3.77270e8i −0.238675 0.190337i 0.496847 0.867838i \(-0.334491\pi\)
−0.735521 + 0.677502i \(0.763063\pi\)
\(212\) −5.06724e9 2.44026e9i −2.50858 1.20807i
\(213\) −1.49017e9 + 7.17626e8i −0.723963 + 0.348642i
\(214\) 5.53543e8i 0.263935i
\(215\) 3.20838e9 1.15557e9i 1.50152 0.540808i
\(216\) −1.61118e10 −7.40167
\(217\) −5.05341e7 1.04935e8i −0.0227900 0.0473240i
\(218\) −3.01663e8 + 6.26411e8i −0.133566 + 0.277353i
\(219\) 7.83312e8 9.82242e8i 0.340532 0.427014i
\(220\) 2.67492e9 + 6.10533e8i 1.14188 + 0.260627i
\(221\) 6.07221e8 0.254553
\(222\) 1.18890e10i 4.89479i
\(223\) 3.34684e8 + 7.63893e7i 0.135336 + 0.0308897i 0.289653 0.957132i \(-0.406460\pi\)
−0.154316 + 0.988022i \(0.549317\pi\)
\(224\) 5.50856e8 + 6.90751e8i 0.218799 + 0.274365i
\(225\) −2.06978e9 9.06832e9i −0.807598 3.53832i
\(226\) −5.93485e8 7.44207e8i −0.227497 0.285272i
\(227\) −5.19675e8 1.07912e9i −0.195717 0.406410i 0.779896 0.625909i \(-0.215272\pi\)
−0.975613 + 0.219499i \(0.929558\pi\)
\(228\) 2.90264e9 1.27173e10i 1.07412 4.70604i
\(229\) −6.81416e8 + 3.28153e8i −0.247782 + 0.119326i −0.553653 0.832747i \(-0.686767\pi\)
0.305871 + 0.952073i \(0.401052\pi\)
\(230\) −5.24437e9 + 6.57623e9i −1.87405 + 2.34999i
\(231\) −4.00892e7 1.75642e8i −0.0140793 0.0616853i
\(232\) −1.43671e9 6.29465e9i −0.495927 2.17280i
\(233\) 1.71008e9 3.55101e9i 0.580219 1.20484i −0.379843 0.925051i \(-0.624022\pi\)
0.960062 0.279786i \(-0.0902636\pi\)
\(234\) 1.45462e10 + 1.16002e10i 4.85161 + 3.86903i
\(235\) 2.18558e9 1.74294e9i 0.716629 0.571493i
\(236\) −7.97799e9 3.84200e9i −2.57185 1.23854i
\(237\) 5.37227e8 1.11556e9i 0.170280 0.353591i
\(238\) −8.42146e7 1.05602e8i −0.0262470 0.0329127i
\(239\) 6.57113e8 8.23993e8i 0.201395 0.252541i −0.670870 0.741575i \(-0.734079\pi\)
0.872265 + 0.489034i \(0.162651\pi\)
\(240\) 2.71100e10 + 1.30555e10i 8.17119 + 3.93504i
\(241\) 1.15397e9 2.63387e8i 0.342079 0.0780774i −0.0480300 0.998846i \(-0.515294\pi\)
0.390109 + 0.920768i \(0.372437\pi\)
\(242\) −5.82353e9 + 1.32918e9i −1.69795 + 0.387546i
\(243\) 4.04731e9 + 3.22762e9i 1.16076 + 0.925673i
\(244\) −1.90627e9 3.95841e9i −0.537805 1.11676i
\(245\) −5.52266e9 1.26051e9i −1.53279 0.349850i
\(246\) −2.61490e9 + 1.25927e9i −0.714026 + 0.343857i
\(247\) −4.14524e9 + 3.30572e9i −1.11368 + 0.888134i
\(248\) 4.77556e9 1.08999e9i 1.26246 0.288148i
\(249\) −3.14474e8 + 2.50784e8i −0.0818063 + 0.0652384i
\(250\) −1.43730e9 + 6.29723e9i −0.367949 + 1.61209i
\(251\) −1.06486e9 −0.268285 −0.134143 0.990962i \(-0.542828\pi\)
−0.134143 + 0.990962i \(0.542828\pi\)
\(252\) 2.98487e9i 0.740155i
\(253\) −2.57155e8 + 1.12667e9i −0.0627643 + 0.274988i
\(254\) 3.08763e9 + 2.46230e9i 0.741806 + 0.591570i
\(255\) −2.02703e9 9.76164e8i −0.479400 0.230867i
\(256\) −2.37460e9 + 1.14355e9i −0.552879 + 0.266252i
\(257\) 5.05802e9i 1.15944i 0.814816 + 0.579719i \(0.196838\pi\)
−0.814816 + 0.579719i \(0.803162\pi\)
\(258\) 1.29227e10 8.28501e9i 2.91658 1.86988i
\(259\) −7.75262e8 −0.172286
\(260\) −1.14339e10 2.37427e10i −2.50207 5.19561i
\(261\) −3.50166e9 + 7.27128e9i −0.754592 + 1.56693i
\(262\) −1.07868e10 + 1.35263e10i −2.28923 + 2.87060i
\(263\) −3.44987e9 7.87410e8i −0.721074 0.164580i −0.153791 0.988103i \(-0.549148\pi\)
−0.567283 + 0.823523i \(0.692005\pi\)
\(264\) 7.57700e9 1.55985
\(265\) 8.46991e9i 1.71749i
\(266\) 1.14980e9 + 2.62433e8i 0.229665 + 0.0524194i
\(267\) 2.68360e9 + 3.36513e9i 0.528048 + 0.662151i
\(268\) 4.00489e9 + 1.75465e10i 0.776338 + 3.40136i
\(269\) −1.00332e8 1.25813e8i −0.0191616 0.0240279i 0.772158 0.635430i \(-0.219177\pi\)
−0.791320 + 0.611402i \(0.790606\pi\)
\(270\) −1.71603e10 3.56338e10i −3.22902 6.70513i
\(271\) 2.67642e8 1.17261e9i 0.0496223 0.217409i −0.944038 0.329838i \(-0.893006\pi\)
0.993660 + 0.112429i \(0.0358630\pi\)
\(272\) 2.79249e9 1.34479e9i 0.510171 0.245685i
\(273\) −1.07887e9 + 1.35286e9i −0.194231 + 0.243557i
\(274\) 1.79040e9 + 7.84424e9i 0.317649 + 1.39171i
\(275\) 5.58459e8 + 2.44677e9i 0.0976474 + 0.427821i
\(276\) −1.18485e10 + 2.46038e10i −2.04187 + 4.23999i
\(277\) 3.61024e9 + 2.87907e9i 0.613221 + 0.489027i 0.880154 0.474688i \(-0.157439\pi\)
−0.266933 + 0.963715i \(0.586010\pi\)
\(278\) −3.10422e9 + 2.47554e9i −0.519725 + 0.414467i
\(279\) −5.51649e9 2.65660e9i −0.910429 0.438440i
\(280\) −1.56032e9 + 3.24004e9i −0.253852 + 0.527130i
\(281\) 5.76163e9 + 7.22486e9i 0.924102 + 1.15879i 0.986992 + 0.160767i \(0.0513969\pi\)
−0.0628900 + 0.998020i \(0.520032\pi\)
\(282\) 7.84571e9 9.83821e9i 1.24061 1.55568i
\(283\) −1.10008e10 5.29770e9i −1.71505 0.825926i −0.990630 0.136571i \(-0.956392\pi\)
−0.724423 0.689355i \(-0.757894\pi\)
\(284\) 7.20829e9 1.64525e9i 1.10805 0.252905i
\(285\) 1.91519e10 4.37130e9i 2.90290 0.662569i
\(286\) −3.92479e9 3.12991e9i −0.586614 0.467809i
\(287\) −8.21147e7 1.70513e8i −0.0121030 0.0251321i
\(288\) 4.52818e10 + 1.03353e10i 6.58193 + 1.50228i
\(289\) 6.07615e9 2.92612e9i 0.871037 0.419469i
\(290\) 1.23914e10 9.88181e9i 1.75198 1.39715i
\(291\) −2.23627e10 + 5.10413e9i −3.11854 + 0.711786i
\(292\) −4.39090e9 + 3.50162e9i −0.603979 + 0.481657i
\(293\) 2.11950e9 9.28614e9i 0.287583 1.25998i −0.600248 0.799814i \(-0.704931\pi\)
0.887831 0.460170i \(-0.152211\pi\)
\(294\) −2.54992e10 −3.41300
\(295\) 1.33352e10i 1.76081i
\(296\) 7.25538e9 3.17879e10i 0.945134 4.14090i
\(297\) −4.24841e9 3.38799e9i −0.546010 0.435428i
\(298\) 6.19101e9 + 2.98143e9i 0.785048 + 0.378059i
\(299\) 1.00004e10 4.81592e9i 1.25121 0.602552i
\(300\) 5.93046e10i 7.32155i
\(301\) 5.40252e8 + 8.42666e8i 0.0658158 + 0.102657i
\(302\) 9.82534e9 1.18119
\(303\) 9.20974e9 + 1.91242e10i 1.09264 + 2.26889i
\(304\) −1.17421e10 + 2.43827e10i −1.37484 + 2.85488i
\(305\) 4.12531e9 5.17297e9i 0.476713 0.597779i
\(306\) −6.92266e9 1.58005e9i −0.789564 0.180213i
\(307\) −1.14177e10 −1.28536 −0.642678 0.766137i \(-0.722177\pi\)
−0.642678 + 0.766137i \(0.722177\pi\)
\(308\) 8.05363e8i 0.0894929i
\(309\) 3.17302e10 + 7.24222e9i 3.48048 + 0.794397i
\(310\) 7.49702e9 + 9.40097e9i 0.811787 + 1.01795i
\(311\) 3.83480e9 + 1.68014e10i 0.409922 + 1.79599i 0.584555 + 0.811354i \(0.301269\pi\)
−0.174633 + 0.984634i \(0.555874\pi\)
\(312\) −4.53742e10 5.68974e10i −4.78840 6.00446i
\(313\) −1.34835e9 2.79989e9i −0.140484 0.291718i 0.818842 0.574019i \(-0.194617\pi\)
−0.959326 + 0.282301i \(0.908902\pi\)
\(314\) −5.42169e9 + 2.37540e10i −0.557720 + 2.44353i
\(315\) 4.04997e9 1.95036e9i 0.411348 0.198095i
\(316\) −3.45103e9 + 4.32746e9i −0.346099 + 0.433995i
\(317\) −1.93110e9 8.46072e9i −0.191236 0.837858i −0.975949 0.217999i \(-0.930047\pi\)
0.784713 0.619859i \(-0.212810\pi\)
\(318\) −8.48399e9 3.71708e10i −0.829643 3.63491i
\(319\) 9.44802e8 1.96190e9i 0.0912385 0.189459i
\(320\) −3.06664e10 2.44556e10i −2.92457 2.33227i
\(321\) 2.11597e9 1.68743e9i 0.199292 0.158930i
\(322\) −2.22447e9 1.07125e9i −0.206920 0.0996476i
\(323\) 8.77959e8 1.82310e9i 0.0806611 0.167494i
\(324\) −3.83553e10 4.80960e10i −3.48053 4.36445i
\(325\) 1.50291e10 1.88458e10i 1.34710 1.68920i
\(326\) 1.88662e10 + 9.08550e9i 1.67038 + 0.804411i
\(327\) −3.31411e9 + 7.56423e8i −0.289851 + 0.0661567i
\(328\) 7.75998e9 1.77116e9i 0.670448 0.153025i
\(329\) 6.41533e8 + 5.11605e8i 0.0547565 + 0.0436668i
\(330\) 8.07010e9 + 1.67577e10i 0.680492 + 1.41306i
\(331\) 1.46604e10 + 3.34615e9i 1.22134 + 0.278762i 0.784128 0.620599i \(-0.213110\pi\)
0.437208 + 0.899361i \(0.355967\pi\)
\(332\) 1.62000e9 7.80152e8i 0.133341 0.0642136i
\(333\) −3.18643e10 + 2.54109e10i −2.59136 + 2.06654i
\(334\) 1.54710e10 3.53115e9i 1.24318 0.283747i
\(335\) −2.11909e10 + 1.68992e10i −1.68256 + 1.34179i
\(336\) −1.96537e9 + 8.61085e9i −0.154201 + 0.675599i
\(337\) 1.94598e9 0.150876 0.0754379 0.997150i \(-0.475965\pi\)
0.0754379 + 0.997150i \(0.475965\pi\)
\(338\) 2.34953e10i 1.80017i
\(339\) 1.03561e9 4.53730e9i 0.0784146 0.343557i
\(340\) 7.86316e9 + 6.27066e9i 0.588412 + 0.469243i
\(341\) 1.48843e9 + 7.16792e8i 0.110081 + 0.0530122i
\(342\) 5.58599e10 2.69007e10i 4.08315 1.96634i
\(343\) 3.35061e9i 0.242074i
\(344\) −3.96076e10 + 1.42656e10i −2.82843 + 1.01872i
\(345\) −4.11252e10 −2.90290
\(346\) −8.20164e9 1.70309e10i −0.572264 1.18832i
\(347\) −5.34995e9 + 1.11093e10i −0.369005 + 0.766246i −0.999954 0.00957789i \(-0.996951\pi\)
0.630950 + 0.775824i \(0.282666\pi\)
\(348\) 3.20822e10 4.02298e10i 2.18750 2.74303i
\(349\) 1.42630e10 + 3.25544e9i 0.961412 + 0.219436i 0.674297 0.738460i \(-0.264447\pi\)
0.287115 + 0.957896i \(0.407304\pi\)
\(350\) −5.36184e9 −0.357307
\(351\) 5.21909e10i 3.43848i
\(352\) −1.22177e10 2.78861e9i −0.795828 0.181643i
\(353\) −4.17625e9 5.23685e9i −0.268960 0.337265i 0.628949 0.777447i \(-0.283485\pi\)
−0.897909 + 0.440182i \(0.854914\pi\)
\(354\) −1.33574e10 5.85226e10i −0.850568 3.72658i
\(355\) 6.94234e9 + 8.70542e9i 0.437112 + 0.548121i
\(356\) −8.34829e9 1.73354e10i −0.519753 1.07928i
\(357\) 1.46951e8 6.43836e8i 0.00904692 0.0396371i
\(358\) −4.55425e10 + 2.19321e10i −2.77258 + 1.33521i
\(359\) −4.23170e9 + 5.30638e9i −0.254763 + 0.319463i −0.892722 0.450607i \(-0.851207\pi\)
0.637959 + 0.770070i \(0.279779\pi\)
\(360\) 4.20681e10 + 1.84313e11i 2.50463 + 10.9735i
\(361\) 1.52332e8 + 6.67410e8i 0.00896938 + 0.0392974i
\(362\) −1.22840e10 + 2.55081e10i −0.715331 + 1.48540i
\(363\) −2.28335e10 1.82091e10i −1.31506 1.04872i
\(364\) 6.04765e9 4.82284e9i 0.344493 0.274724i
\(365\) −7.62020e9 3.66970e9i −0.429334 0.206756i
\(366\) 1.29226e10 2.68341e10i 0.720156 1.49542i
\(367\) 6.16200e9 + 7.72690e9i 0.339670 + 0.425933i 0.922102 0.386947i \(-0.126470\pi\)
−0.582432 + 0.812879i \(0.697899\pi\)
\(368\) 3.53240e10 4.42949e10i 1.92610 2.41525i
\(369\) −8.96395e9 4.31681e9i −0.483497 0.232840i
\(370\) 7.80315e10 1.78102e10i 4.16354 0.950301i
\(371\) 2.42384e9 5.53226e8i 0.127941 0.0292016i
\(372\) 3.05211e10 + 2.43398e10i 1.59378 + 1.27100i
\(373\) 6.04434e9 + 1.25512e10i 0.312258 + 0.648411i 0.996745 0.0806140i \(-0.0256881\pi\)
−0.684487 + 0.729025i \(0.739974\pi\)
\(374\) 1.86784e9 + 4.26322e8i 0.0954670 + 0.0217897i
\(375\) −2.84532e10 + 1.37023e10i −1.43882 + 0.692898i
\(376\) −2.69811e10 + 2.15167e10i −1.34992 + 1.07653i
\(377\) −2.03902e10 + 4.65393e9i −1.00938 + 0.230385i
\(378\) 9.07651e9 7.23827e9i 0.444582 0.354542i
\(379\) 7.18734e9 3.14898e10i 0.348347 1.52621i −0.432587 0.901592i \(-0.642399\pi\)
0.780934 0.624614i \(-0.214744\pi\)
\(380\) −8.78161e10 −4.21153
\(381\) 1.93088e10i 0.916340i
\(382\) −5.06857e9 + 2.22069e10i −0.238030 + 1.04288i
\(383\) 2.89901e10 + 2.31189e10i 1.34727 + 1.07441i 0.990098 + 0.140375i \(0.0448307\pi\)
0.357173 + 0.934038i \(0.383741\pi\)
\(384\) −5.59552e10 2.69466e10i −2.57345 1.23931i
\(385\) −1.09274e9 + 5.26237e8i −0.0497365 + 0.0239518i
\(386\) 3.03130e10i 1.36546i
\(387\) 4.98253e10 + 1.69267e10i 2.22129 + 0.754622i
\(388\) 1.02538e11 4.52437
\(389\) −5.66217e9 1.17576e10i −0.247277 0.513477i 0.739976 0.672633i \(-0.234837\pi\)
−0.987253 + 0.159156i \(0.949123\pi\)
\(390\) 7.75105e10 1.60952e11i 3.35044 6.95727i
\(391\) −2.64119e9 + 3.31194e9i −0.113004 + 0.141702i
\(392\) 6.81776e10 + 1.55611e10i 2.88734 + 0.659016i
\(393\) −8.45881e10 −3.54600
\(394\) 3.77465e10i 1.56636i
\(395\) −8.12659e9 1.85484e9i −0.333826 0.0761936i
\(396\) 2.63975e10 + 3.31015e10i 1.07345 + 1.34607i
\(397\) −3.30855e9 1.44957e10i −0.133191 0.583548i −0.996839 0.0794522i \(-0.974683\pi\)
0.863648 0.504096i \(-0.168174\pi\)
\(398\) 5.12133e10 + 6.42194e10i 2.04103 + 2.55938i
\(399\) 2.50188e9 + 5.19520e9i 0.0987130 + 0.204980i
\(400\) 2.73784e10 1.19953e11i 1.06947 4.68565i
\(401\) 1.45056e10 6.98551e9i 0.560992 0.270160i −0.131825 0.991273i \(-0.542084\pi\)
0.692817 + 0.721113i \(0.256369\pi\)
\(402\) −7.60704e10 + 9.53892e10i −2.91280 + 3.65254i
\(403\) −3.53079e9 1.54694e10i −0.133860 0.586481i
\(404\) −2.11145e10 9.25085e10i −0.792600 3.47261i
\(405\) 4.01963e10 8.34685e10i 1.49405 3.10243i
\(406\) 3.63725e9 + 2.90061e9i 0.133866 + 0.106754i
\(407\) 8.59747e9 6.85625e9i 0.313324 0.249867i
\(408\) 2.50238e10 + 1.20508e10i 0.903051 + 0.434886i
\(409\) 2.26737e10 4.70824e10i 0.810269 1.68254i 0.0826291 0.996580i \(-0.473668\pi\)
0.727640 0.685960i \(-0.240617\pi\)
\(410\) 1.21822e10 + 1.52760e10i 0.431112 + 0.540597i
\(411\) −2.45275e10 + 3.07565e10i −0.859578 + 1.07788i
\(412\) −1.31083e11 6.31261e10i −4.54942 2.19089i
\(413\) 3.81616e9 8.71013e8i 0.131167 0.0299381i
\(414\) −1.26541e11 + 2.88822e10i −4.30755 + 0.983170i
\(415\) 2.11707e9 + 1.68831e9i 0.0713745 + 0.0569193i
\(416\) 5.22243e10 + 1.08445e11i 1.74381 + 3.62106i
\(417\) −1.89259e10 4.31972e9i −0.625911 0.142860i
\(418\) −1.50719e10 + 7.25822e9i −0.493698 + 0.237753i
\(419\) −2.13488e10 + 1.70251e10i −0.692656 + 0.552375i −0.905309 0.424753i \(-0.860361\pi\)
0.212653 + 0.977128i \(0.431790\pi\)
\(420\) −2.79414e10 + 6.37745e9i −0.897948 + 0.204951i
\(421\) 4.41094e10 3.51761e10i 1.40411 1.11974i 0.427680 0.903930i \(-0.359331\pi\)
0.976435 0.215814i \(-0.0692404\pi\)
\(422\) −4.08033e9 + 1.78771e10i −0.128661 + 0.563699i
\(423\) 4.31368e10 1.34737
\(424\) 1.04562e11i 3.23526i
\(425\) −2.04709e9 + 8.96889e9i −0.0627453 + 0.274905i
\(426\) 3.91868e10 + 3.12504e10i 1.18988 + 0.948894i
\(427\) 1.74981e9 + 8.42662e8i 0.0526355 + 0.0253479i
\(428\) −1.09004e10 + 5.24933e9i −0.324837 + 0.156433i
\(429\) 2.45441e10i 0.724634i
\(430\) −7.37359e10 7.24045e10i −2.15678 2.11783i
\(431\) −1.25049e10 −0.362386 −0.181193 0.983448i \(-0.557996\pi\)
−0.181193 + 0.983448i \(0.557996\pi\)
\(432\) 1.15585e11 + 2.40015e11i 3.31870 + 6.89135i
\(433\) −2.00508e10 + 4.16360e10i −0.570402 + 1.18445i 0.393779 + 0.919205i \(0.371168\pi\)
−0.964181 + 0.265246i \(0.914547\pi\)
\(434\) −2.20060e9 + 2.75947e9i −0.0620273 + 0.0777798i
\(435\) 7.55482e10 + 1.72434e10i 2.10993 + 0.481577i
\(436\) 1.51960e10 0.420516
\(437\) 3.69879e10i 1.01422i
\(438\) −3.71176e10 8.47184e9i −1.00852 0.230187i
\(439\) 3.72958e10 + 4.67674e10i 1.00416 + 1.25917i 0.965631 + 0.259916i \(0.0836947\pi\)
0.0385257 + 0.999258i \(0.487734\pi\)
\(440\) −1.13506e10 4.97303e10i −0.302837 1.32682i
\(441\) −5.45005e10 6.83414e10i −1.44094 1.80688i
\(442\) −7.98403e9 1.65790e10i −0.209186 0.434380i
\(443\) 1.03787e10 4.54722e10i 0.269482 1.18068i −0.641136 0.767428i \(-0.721536\pi\)
0.910618 0.413250i \(-0.135606\pi\)
\(444\) 2.34118e11 1.12745e11i 6.02425 2.90113i
\(445\) 1.80663e10 2.26545e10i 0.460712 0.577715i
\(446\) −2.31491e9 1.01423e10i −0.0585053 0.256328i
\(447\) 7.47596e9 + 3.27543e10i 0.187256 + 0.820424i
\(448\) 4.99546e9 1.03732e10i 0.124012 0.257514i
\(449\) 5.85348e9 + 4.66799e9i 0.144022 + 0.114854i 0.692850 0.721081i \(-0.256355\pi\)
−0.548829 + 0.835935i \(0.684926\pi\)
\(450\) −2.20378e11 + 1.75746e11i −5.37426 + 4.28583i
\(451\) 2.41861e9 + 1.16474e9i 0.0584601 + 0.0281529i
\(452\) −9.02678e9 + 1.87443e10i −0.216262 + 0.449072i
\(453\) 2.99517e10 + 3.75583e10i 0.711261 + 0.891893i
\(454\) −2.26303e10 + 2.83775e10i −0.532680 + 0.667959i
\(455\) 1.04954e10 + 5.05433e9i 0.244881 + 0.117928i
\(456\) −2.36432e11 + 5.39640e10i −5.46822 + 1.24809i
\(457\) −6.71372e10 + 1.53236e10i −1.53921 + 0.351315i −0.906208 0.422832i \(-0.861036\pi\)
−0.633005 + 0.774148i \(0.718179\pi\)
\(458\) 1.79192e10 + 1.42900e10i 0.407245 + 0.324767i
\(459\) −8.64235e9 1.79460e10i −0.194707 0.404313i
\(460\) 1.79232e11 + 4.09085e10i 4.00299 + 0.913656i
\(461\) −5.21772e10 + 2.51272e10i −1.15525 + 0.556340i −0.910607 0.413272i \(-0.864386\pi\)
−0.244645 + 0.969613i \(0.578671\pi\)
\(462\) −4.26847e9 + 3.40399e9i −0.0936923 + 0.0747171i
\(463\) 3.01714e10 6.88642e9i 0.656555 0.149854i 0.118751 0.992924i \(-0.462111\pi\)
0.537804 + 0.843070i \(0.319254\pi\)
\(464\) −8.34636e10 + 6.65600e10i −1.80063 + 1.43596i
\(465\) −1.30820e10 + 5.73161e10i −0.279810 + 1.22593i
\(466\) −1.19438e11 −2.53280
\(467\) 6.40443e10i 1.34652i −0.739406 0.673260i \(-0.764893\pi\)
0.739406 0.673260i \(-0.235107\pi\)
\(468\) 9.04871e10 3.96450e11i 1.88627 8.26428i
\(469\) −6.22017e9 4.96042e9i −0.128561 0.102524i
\(470\) −7.63245e10 3.67560e10i −1.56413 0.753245i
\(471\) −1.07329e11 + 5.16870e10i −2.18089 + 1.05026i
\(472\) 1.64624e11i 3.31685i
\(473\) −1.34436e10 4.56709e9i −0.268579 0.0912421i
\(474\) −3.75220e10 −0.743315
\(475\) −3.48522e10 7.23713e10i −0.684629 1.42165i
\(476\) −1.28089e9 + 2.65979e9i −0.0249507 + 0.0518107i
\(477\) 8.14899e10 1.02185e11i 1.57409 1.97385i
\(478\) −3.11376e10 7.10695e9i −0.596449 0.136136i
\(479\) 5.84818e10 1.11091 0.555455 0.831546i \(-0.312544\pi\)
0.555455 + 0.831546i \(0.312544\pi\)
\(480\) 4.45966e11i 8.40111i
\(481\) −1.02970e11 2.35023e10i −1.92367 0.439066i
\(482\) −2.23642e10 2.80438e10i −0.414348 0.519576i
\(483\) −2.68616e9 1.17688e10i −0.0493564 0.216245i
\(484\) 8.13997e10 + 1.02072e11i 1.48334 + 1.86005i
\(485\) 6.70001e10 + 1.39127e11i 1.21090 + 2.51446i
\(486\) 3.49081e10 1.52942e11i 0.625721 2.74146i
\(487\) 7.83903e10 3.77508e10i 1.39363 0.671135i 0.421769 0.906703i \(-0.361409\pi\)
0.971858 + 0.235568i \(0.0756952\pi\)
\(488\) −5.09272e10 + 6.38607e10i −0.897989 + 1.12604i
\(489\) 2.27819e10 + 9.98142e10i 0.398433 + 1.74565i
\(490\) 3.81987e10 + 1.67359e11i 0.662619 + 2.90312i
\(491\) −8.48558e9 + 1.76205e10i −0.146001 + 0.303174i −0.961126 0.276111i \(-0.910954\pi\)
0.815125 + 0.579286i \(0.196668\pi\)
\(492\) 4.95949e10 + 3.95506e10i 0.846402 + 0.674983i
\(493\) 6.24060e9 4.97671e9i 0.105642 0.0842471i
\(494\) 1.44760e11 + 6.97127e10i 2.43075 + 1.17059i
\(495\) −2.76646e10 + 5.74461e10i −0.460790 + 0.956841i
\(496\) −5.04970e10 6.33212e10i −0.834332 1.04622i
\(497\) −2.03779e9 + 2.55531e9i −0.0333990 + 0.0418810i
\(498\) 1.09820e10 + 5.28867e9i 0.178552 + 0.0859862i
\(499\) 1.55273e10 3.54401e9i 0.250435 0.0571601i −0.0954605 0.995433i \(-0.530432\pi\)
0.345895 + 0.938273i \(0.387575\pi\)
\(500\) 1.37635e11 3.14143e10i 2.20216 0.502628i
\(501\) 6.06602e10 + 4.83749e10i 0.962837 + 0.767837i
\(502\) 1.40013e10 + 2.90739e10i 0.220471 + 0.457813i
\(503\) −3.24144e10 7.39838e9i −0.506368 0.115575i −0.0382977 0.999266i \(-0.512194\pi\)
−0.468070 + 0.883691i \(0.655051\pi\)
\(504\) −4.99972e10 + 2.40774e10i −0.774860 + 0.373153i
\(505\) 1.11722e11 8.90953e10i 1.71780 1.36990i
\(506\) 3.41427e10 7.79286e9i 0.520830 0.118876i
\(507\) −8.98129e10 + 7.16234e10i −1.35927 + 1.08398i
\(508\) 1.92071e10 8.41518e10i 0.288408 1.26360i
\(509\) −1.23683e11 −1.84264 −0.921320 0.388805i \(-0.872888\pi\)
−0.921320 + 0.388805i \(0.872888\pi\)
\(510\) 6.81791e10i 1.00779i
\(511\) 5.52434e8 2.42037e9i 0.00810209 0.0354976i
\(512\) −2.14506e10 1.71063e10i −0.312147 0.248929i
\(513\) 1.56696e11 + 7.54609e10i 2.26250 + 1.08956i
\(514\) 1.38099e11 6.65052e10i 1.97851 0.952802i
\(515\) 2.19105e11i 3.11475i
\(516\) −2.85696e11 1.75905e11i −4.03000 2.48130i
\(517\) −1.16390e10 −0.162912
\(518\) 1.01935e10 + 2.11670e10i 0.141581 + 0.293996i
\(519\) 4.01001e10 8.32686e10i 0.552682 1.14766i
\(520\) −3.05464e11 + 3.83040e11i −4.17779 + 5.23878i
\(521\) −1.37272e10 3.13313e9i −0.186307 0.0425234i 0.128349 0.991729i \(-0.459032\pi\)
−0.314656 + 0.949206i \(0.601889\pi\)
\(522\) 2.44570e11 3.29398
\(523\) 9.57726e10i 1.28007i 0.768345 + 0.640036i \(0.221081\pi\)
−0.768345 + 0.640036i \(0.778919\pi\)
\(524\) 3.68652e11 + 8.41424e10i 4.88980 + 1.11607i
\(525\) −1.63451e10 2.04961e10i −0.215154 0.269795i
\(526\) 2.38618e10 + 1.04545e11i 0.311717 + 1.36572i
\(527\) 3.77568e9 + 4.73455e9i 0.0489500 + 0.0613813i
\(528\) −5.43570e10 1.12874e11i −0.699391 1.45230i
\(529\) 1.95273e8 8.55546e8i 0.00249355 0.0109250i
\(530\) −2.31255e11 + 1.11366e11i −2.93080 + 1.41140i
\(531\) 1.28300e11 1.60883e11i 1.61379 2.02363i
\(532\) −5.73585e9 2.51304e10i −0.0716064 0.313728i
\(533\) −5.73732e9 2.51368e10i −0.0710886 0.311460i
\(534\) 5.65932e10 1.17517e11i 0.695984 1.44523i
\(535\) −1.42449e10 1.13600e10i −0.173878 0.138663i
\(536\) 2.61603e11 2.08621e11i 3.16945 2.52755i
\(537\) −2.22670e11 1.07232e11i −2.67771 1.28952i
\(538\) −2.11586e9 + 4.39363e9i −0.0252556 + 0.0524438i
\(539\) 1.47051e10 + 1.84396e10i 0.174226 + 0.218472i
\(540\) −5.38966e11 + 6.75842e11i −6.33849 + 7.94822i
\(541\) −1.06287e11 5.11853e10i −1.24077 0.597525i −0.305750 0.952112i \(-0.598907\pi\)
−0.935023 + 0.354587i \(0.884621\pi\)
\(542\) −3.55351e10 + 8.11065e9i −0.411775 + 0.0939849i
\(543\) −1.34954e11 + 3.08023e10i −1.55234 + 0.354311i
\(544\) −3.59150e10 2.86413e10i −0.410091 0.327037i
\(545\) 9.92930e9 + 2.06184e10i 0.112547 + 0.233706i
\(546\) 5.11226e10 + 1.16684e10i 0.575231 + 0.131293i
\(547\) −3.58226e10 + 1.72513e10i −0.400136 + 0.192695i −0.623119 0.782127i \(-0.714135\pi\)
0.222983 + 0.974822i \(0.428421\pi\)
\(548\) 1.37490e11 1.09645e11i 1.52458 1.21581i
\(549\) 9.95394e10 2.27192e10i 1.09574 0.250095i
\(550\) 5.94615e10 4.74189e10i 0.649808 0.518204i
\(551\) −1.55086e10 + 6.79478e10i −0.168255 + 0.737173i
\(552\) 5.07694e11 5.46822
\(553\) 2.44675e9i 0.0261631i
\(554\) 3.11383e10 1.36426e11i 0.330565 1.44830i
\(555\) 3.05953e11 + 2.43989e11i 3.22465 + 2.57157i
\(556\) 7.81860e10 + 3.76524e10i 0.818144 + 0.393997i
\(557\) −8.05502e10 + 3.87910e10i −0.836847 + 0.403004i −0.802679 0.596412i \(-0.796593\pi\)
−0.0341684 + 0.999416i \(0.510878\pi\)
\(558\) 1.85547e11i 1.91390i
\(559\) 4.62105e10 + 1.28301e11i 0.473253 + 1.31396i
\(560\) 5.94600e10 0.604606
\(561\) 4.06429e9 + 8.43959e9i 0.0410330 + 0.0852059i
\(562\) 1.21504e11 2.52306e11i 1.21800 2.52919i
\(563\) −2.15428e10 + 2.70138e10i −0.214421 + 0.268876i −0.877397 0.479765i \(-0.840722\pi\)
0.662976 + 0.748641i \(0.269293\pi\)
\(564\) −2.68136e11 6.12002e10i −2.64995 0.604835i
\(565\) −3.13311e10 −0.307456
\(566\) 3.70012e11i 3.60537i
\(567\) 2.65118e10 + 6.05113e9i 0.256511 + 0.0585470i
\(568\) −8.57037e10 1.07469e11i −0.823391 1.03250i
\(569\) −8.23655e9 3.60867e10i −0.0785772 0.344269i 0.920323 0.391160i \(-0.127926\pi\)
−0.998900 + 0.0468905i \(0.985069\pi\)
\(570\) −3.71168e11 4.65430e11i −3.51618 4.40915i
\(571\) −5.01387e10 1.04114e11i −0.471660 0.979412i −0.992092 0.125509i \(-0.959944\pi\)
0.520433 0.853903i \(-0.325771\pi\)
\(572\) −2.44148e10 + 1.06968e11i −0.228071 + 0.999242i
\(573\) −1.00339e11 + 4.83206e10i −0.930787 + 0.448244i
\(574\) −3.57584e9 + 4.48396e9i −0.0329405 + 0.0413061i
\(575\) 3.74193e10 + 1.63945e11i 0.342314 + 1.49978i
\(576\) −1.34684e11 5.90089e11i −1.22356 5.36077i
\(577\) 4.51356e10 9.37250e10i 0.407207 0.845575i −0.592007 0.805933i \(-0.701664\pi\)
0.999214 0.0396416i \(-0.0126216\pi\)
\(578\) −1.59784e11 1.27423e11i −1.43160 1.14166i
\(579\) 1.15874e11 9.24066e10i 1.03103 0.822221i
\(580\) −3.12102e11 1.50300e11i −2.75794 1.32815i
\(581\) −3.44865e8 + 7.16119e8i −0.00302653 + 0.00628465i
\(582\) 4.33393e11 + 5.43458e11i 3.77737 + 4.73668i
\(583\) −2.19872e10 + 2.75711e10i −0.190325 + 0.238660i
\(584\) 9.40719e10 + 4.53027e10i 0.808740 + 0.389468i
\(585\) 5.97042e11 1.36271e11i 5.09779 1.16354i
\(586\) −2.81408e11 + 6.42296e10i −2.38642 + 0.544684i
\(587\) 3.09835e10 + 2.47085e10i 0.260963 + 0.208111i 0.745227 0.666811i \(-0.232341\pi\)
−0.484264 + 0.874922i \(0.660913\pi\)
\(588\) 2.41812e11 + 5.02129e11i 2.02288 + 4.20054i
\(589\) −5.15499e10 1.17659e10i −0.428318 0.0977609i
\(590\) −3.64093e11 + 1.75338e11i −3.00472 + 1.44700i
\(591\) 1.44289e11 1.15067e11i 1.18273 0.943193i
\(592\) −5.25589e11 + 1.19962e11i −4.27917 + 0.976693i
\(593\) −5.60781e10 + 4.47208e10i −0.453497 + 0.361652i −0.823441 0.567402i \(-0.807948\pi\)
0.369944 + 0.929054i \(0.379377\pi\)
\(594\) −3.66425e10 + 1.60541e11i −0.294334 + 1.28956i
\(595\) −4.44584e9 −0.0354720
\(596\) 1.50186e11i 1.19027i
\(597\) −8.93652e10 + 3.91535e11i −0.703512 + 3.08229i
\(598\) −2.62979e11 2.09719e11i −2.05644 1.63996i
\(599\) −7.61967e10 3.66944e10i −0.591874 0.285031i 0.113873 0.993495i \(-0.463674\pi\)
−0.705747 + 0.708464i \(0.749388\pi\)
\(600\) 9.93364e11 4.78379e11i 7.66485 3.69120i
\(601\) 2.04915e11i 1.57064i −0.619090 0.785320i \(-0.712498\pi\)
0.619090 0.785320i \(-0.287502\pi\)
\(602\) 1.59039e10 2.58303e10i 0.121093 0.196672i
\(603\) −4.18246e11 −3.16346
\(604\) −9.31752e10 1.93480e11i −0.700088 1.45375i
\(605\) −8.53067e10 + 1.77141e11i −0.636740 + 1.32220i
\(606\) 4.01056e11 5.02909e11i 2.97382 3.72905i
\(607\) −1.31501e11 3.00144e10i −0.968670 0.221093i −0.291216 0.956657i \(-0.594060\pi\)
−0.677454 + 0.735565i \(0.736917\pi\)
\(608\) 4.01100e11 2.93521
\(609\) 2.27460e10i 0.165362i
\(610\) −1.95480e11 4.46169e10i −1.41183 0.322241i
\(611\) 6.96989e10 + 8.73996e10i 0.500105 + 0.627112i
\(612\) 3.45343e10 + 1.51305e11i 0.246176 + 1.07857i
\(613\) −1.65895e10 2.08025e10i −0.117487 0.147324i 0.719610 0.694378i \(-0.244321\pi\)
−0.837097 + 0.547054i \(0.815749\pi\)
\(614\) 1.50125e11 + 3.11737e11i 1.05628 + 2.19338i
\(615\) −2.12575e10 + 9.31350e10i −0.148597 + 0.651047i
\(616\) 1.34900e10 6.49644e9i 0.0936891 0.0451183i
\(617\) 5.21628e10 6.54101e10i 0.359932 0.451340i −0.568588 0.822622i \(-0.692510\pi\)
0.928520 + 0.371282i \(0.121082\pi\)
\(618\) −2.19469e11 9.61557e11i −1.50459 6.59206i
\(619\) 3.36084e10 + 1.47248e11i 0.228921 + 1.00297i 0.950522 + 0.310658i \(0.100549\pi\)
−0.721601 + 0.692309i \(0.756594\pi\)
\(620\) 1.14028e11 2.36782e11i 0.771694 1.60244i
\(621\) −2.84663e11 2.27011e11i −1.91410 1.52644i
\(622\) 4.08307e11 3.25614e11i 2.72788 2.17541i
\(623\) 7.66308e9 + 3.69035e9i 0.0508688 + 0.0244971i
\(624\) −5.22081e11 + 1.08411e12i −3.44349 + 7.15049i
\(625\) −1.46237e10 1.83376e10i −0.0958379 0.120177i
\(626\) −5.87167e10 + 7.36285e10i −0.382353 + 0.479456i
\(627\) −7.36905e10 3.54875e10i −0.476805 0.229617i
\(628\) 5.19177e11 1.18499e11i 3.33793 0.761860i
\(629\) 3.92985e10 8.96962e9i 0.251057 0.0573022i
\(630\) −1.06502e11 8.49323e10i −0.676074 0.539151i
\(631\) −6.59092e10 1.36862e11i −0.415746 0.863306i −0.998709 0.0508067i \(-0.983821\pi\)
0.582962 0.812499i \(-0.301894\pi\)
\(632\) 1.00323e11 + 2.28982e10i 0.628831 + 0.143527i
\(633\) −8.07753e10 + 3.88994e10i −0.503111 + 0.242286i
\(634\) −2.05613e11 + 1.63971e11i −1.27260 + 1.01487i
\(635\) 1.26730e11 2.89253e10i 0.779445 0.177903i
\(636\) −6.51511e11 + 5.19562e11i −3.98192 + 3.17548i
\(637\) 5.04069e10 2.20847e11i 0.306149 1.34133i
\(638\) −6.59887e10 −0.398278
\(639\) 1.71819e11i 1.03055i
\(640\) −9.30364e10 + 4.07619e11i −0.554540 + 2.42960i
\(641\) 2.35962e11 + 1.88174e11i 1.39769 + 1.11462i 0.978389 + 0.206772i \(0.0662959\pi\)
0.419300 + 0.907848i \(0.362276\pi\)
\(642\) −7.38937e10 3.55853e10i −0.434978 0.209474i
\(643\) 1.16716e11 5.62077e10i 0.682792 0.328815i −0.0601328 0.998190i \(-0.519152\pi\)
0.742924 + 0.669375i \(0.233438\pi\)
\(644\) 5.39630e10i 0.313728i
\(645\) 5.19953e10 5.02581e11i 0.300417 2.90380i
\(646\) −6.13201e10 −0.352105
\(647\) 1.87368e10 + 3.89073e10i 0.106925 + 0.222031i 0.947565 0.319562i \(-0.103536\pi\)
−0.840641 + 0.541593i \(0.817821\pi\)
\(648\) −4.96226e11 + 1.03042e12i −2.81436 + 5.84408i
\(649\) −3.46172e10 + 4.34086e10i −0.195125 + 0.244679i
\(650\) −7.12159e11 1.62546e11i −3.98954 0.910587i
\(651\) −1.72567e10 −0.0960800
\(652\) 4.57672e11i 2.53259i
\(653\) 2.05705e11 + 4.69509e10i 1.13134 + 0.258221i 0.746904 0.664932i \(-0.231539\pi\)
0.384434 + 0.923152i \(0.374396\pi\)
\(654\) 6.42281e10 + 8.05395e10i 0.351086 + 0.440248i
\(655\) 1.26716e11 + 5.55179e11i 0.688440 + 3.01625i
\(656\) −8.20544e10 1.02893e11i −0.443085 0.555611i
\(657\) −5.66273e10 1.17588e11i −0.303923 0.631103i
\(658\) 5.53323e9 2.42426e10i 0.0295172 0.129323i
\(659\) 1.05868e11 5.09834e10i 0.561337 0.270325i −0.131625 0.991300i \(-0.542020\pi\)
0.692962 + 0.720974i \(0.256305\pi\)
\(660\) 2.53463e11 3.17832e11i 1.33579 1.67503i
\(661\) 1.89711e10 + 8.31177e10i 0.0993770 + 0.435399i 1.00000 0.000797193i \(0.000253755\pi\)
−0.900623 + 0.434602i \(0.856889\pi\)
\(662\) −1.01402e11 4.44272e11i −0.527977 2.31322i
\(663\) 3.90361e10 8.10593e10i 0.202028 0.419516i
\(664\) −2.61354e10 2.08423e10i −0.134449 0.107219i
\(665\) 3.03499e10 2.42032e10i 0.155192 0.123762i
\(666\) 1.11276e12 + 5.35878e11i 5.65595 + 2.72376i
\(667\) 6.33061e10 1.31456e11i 0.319847 0.664169i
\(668\) −2.16249e11 2.71168e11i −1.08605 1.36186i
\(669\) 3.17130e10 3.97669e10i 0.158319 0.198526i
\(670\) 7.40027e11 + 3.56378e11i 3.67239 + 1.76853i
\(671\) −2.68573e10 + 6.12999e9i −0.132487 + 0.0302392i
\(672\) 1.27622e11 2.91290e10i 0.625821 0.142840i
\(673\) 4.00612e10 + 3.19477e10i 0.195283 + 0.155733i 0.716250 0.697844i \(-0.245857\pi\)
−0.520967 + 0.853577i \(0.674429\pi\)
\(674\) −2.55867e10 5.31314e10i −0.123987 0.257461i
\(675\) −7.70879e11 1.75948e11i −3.71340 0.847559i
\(676\) 4.62668e11 2.22809e11i 2.21556 1.06696i
\(677\) −3.18181e11 + 2.53741e11i −1.51468 + 1.20791i −0.602497 + 0.798121i \(0.705827\pi\)
−0.912179 + 0.409792i \(0.865601\pi\)
\(678\) −1.37499e11 + 3.13832e10i −0.650699 + 0.148518i
\(679\) −3.54379e10 + 2.82608e10i −0.166721 + 0.132955i
\(680\) 4.16069e10 1.82292e11i 0.194594 0.852573i
\(681\) −1.77462e11 −0.825119
\(682\) 5.00635e10i 0.231411i
\(683\) 1.12344e10 4.92213e10i 0.0516260 0.226188i −0.942533 0.334113i \(-0.891563\pi\)
0.994159 + 0.107925i \(0.0344205\pi\)
\(684\) −1.05946e12 8.44888e11i −4.84015 3.85989i
\(685\) 2.38608e11 + 1.14907e11i 1.08373 + 0.521898i
\(686\) −9.14820e10 + 4.40554e10i −0.413085 + 0.198931i
\(687\) 1.12060e11i 0.503063i
\(688\) 4.96656e11 + 4.87688e11i 2.21667 + 2.17665i
\(689\) 3.38706e11 1.50295
\(690\) 5.40734e11 + 1.12285e12i 2.38554 + 4.95363i
\(691\) 9.32466e10 1.93629e11i 0.408998 0.849293i −0.590121 0.807315i \(-0.700920\pi\)
0.999119 0.0419776i \(-0.0133658\pi\)
\(692\) −2.57594e11 + 3.23013e11i −1.12334 + 1.40862i
\(693\) −1.82464e10 4.16461e9i −0.0791122 0.0180568i
\(694\) 3.73661e11 1.61079
\(695\) 1.30688e11i 0.560140i
\(696\) −9.32648e11 2.12871e11i −3.97449 0.907150i
\(697\) 6.13523e9 + 7.69334e9i 0.0259956 + 0.0325975i
\(698\) −9.86532e10 4.32228e11i −0.415614 1.82092i
\(699\) −3.64098e11 4.56564e11i −1.52514 1.91246i
\(700\) 5.08471e10 + 1.05585e11i 0.211775 + 0.439755i
\(701\) 2.32032e10 1.01660e11i 0.0960893 0.420995i −0.903888 0.427770i \(-0.859299\pi\)
0.999977 + 0.00677505i \(0.00215658\pi\)
\(702\) 1.42497e12 6.86230e11i 5.86756 2.82567i
\(703\) −2.19443e11 + 2.75173e11i −0.898465 + 1.12664i
\(704\) 3.63398e10 + 1.59215e11i 0.147942 + 0.648176i
\(705\) −9.21658e10 4.03805e11i −0.373090 1.63461i
\(706\) −8.80708e10 + 1.82881e11i −0.354497 + 0.736121i
\(707\) 3.27938e10 + 2.61522e10i 0.131254 + 0.104672i
\(708\) −1.02575e12 + 8.18012e11i −4.08235 + 3.25557i
\(709\) −3.36252e11 1.61931e11i −1.33070 0.640832i −0.372795 0.927914i \(-0.621600\pi\)
−0.957906 + 0.287082i \(0.907315\pi\)
\(710\) 1.46404e11 3.04010e11i 0.576127 1.19634i
\(711\) −8.01975e10 1.00565e11i −0.313821 0.393520i
\(712\) −2.23030e11 + 2.79671e11i −0.867848 + 1.08825i
\(713\) 9.97319e10 + 4.80283e10i 0.385901 + 0.185840i
\(714\) −1.95109e10 + 4.45323e9i −0.0750730 + 0.0171349i
\(715\) −1.61091e11 + 3.67680e10i −0.616378 + 0.140684i
\(716\) 8.63772e11 + 6.88835e11i 3.28660 + 2.62098i
\(717\) −6.77532e10 1.40691e11i −0.256362 0.532341i
\(718\) 2.00521e11 + 4.57676e10i 0.754504 + 0.172211i
\(719\) −2.91257e11 + 1.40262e11i −1.08983 + 0.524837i −0.890448 0.455084i \(-0.849609\pi\)
−0.199386 + 0.979921i \(0.563895\pi\)
\(720\) 2.44388e12 1.94893e12i 9.09391 7.25215i
\(721\) 6.27015e10 1.43112e10i 0.232026 0.0529584i
\(722\) 1.62194e10 1.29346e10i 0.0596879 0.0475995i
\(723\) 3.90247e10 1.70979e11i 0.142819 0.625732i
\(724\) 6.18796e11 2.25213
\(725\) 3.16861e11i 1.14688i
\(726\) −1.96939e11 + 8.62845e11i −0.708900 + 3.10589i
\(727\) −1.10573e10 8.81789e9i −0.0395832 0.0315666i 0.603498 0.797364i \(-0.293773\pi\)
−0.643082 + 0.765798i \(0.722344\pi\)
\(728\) −1.29567e11 6.23961e10i −0.461284 0.222142i
\(729\) 1.42021e11 6.83938e10i 0.502855 0.242162i
\(730\) 2.56306e11i 0.902541i
\(731\) −3.71351e10 3.64646e10i −0.130051 0.127703i
\(732\) −6.50964e11 −2.26732
\(733\) 1.03701e11 + 2.15337e11i 0.359224 + 0.745937i 0.999758 0.0219931i \(-0.00700117\pi\)
−0.640534 + 0.767930i \(0.721287\pi\)
\(734\) 1.29947e11 2.69838e11i 0.447696 0.929650i
\(735\) −5.23300e11 + 6.56198e11i −1.79309 + 2.24846i
\(736\) −8.18643e11 1.86850e11i −2.78986 0.636768i
\(737\) 1.12849e11 0.382497
\(738\) 3.01503e11i 1.01640i
\(739\) 9.70978e10 + 2.21619e10i 0.325560 + 0.0743071i 0.382178 0.924089i \(-0.375174\pi\)
−0.0566171 + 0.998396i \(0.518031\pi\)
\(740\) −1.09070e12 1.36770e12i −3.63730 4.56103i
\(741\) 1.74805e11 + 7.65871e11i 0.579804 + 2.54029i
\(742\) −4.69746e10 5.89043e10i −0.154970 0.194326i
\(743\) 3.66551e10 + 7.61152e10i 0.120276 + 0.249756i 0.952411 0.304818i \(-0.0985956\pi\)
−0.832135 + 0.554574i \(0.812881\pi\)
\(744\) 1.61499e11 7.07571e11i 0.527080 2.30929i
\(745\) 2.03778e11 9.81343e10i 0.661503 0.318563i
\(746\) 2.63213e11 3.30058e11i 0.849868 1.06570i
\(747\) 9.29799e9 + 4.07371e10i 0.0298612 + 0.130830i
\(748\) −9.31788e9 4.08243e10i −0.0297653 0.130410i
\(749\) 2.32046e9 4.81848e9i 0.00737304 0.0153103i
\(750\) 7.48232e11 + 5.96695e11i 2.36478 + 1.88585i
\(751\) −3.49994e11 + 2.79111e11i −1.10027 + 0.877439i −0.993155 0.116807i \(-0.962734\pi\)
−0.107119 + 0.994246i \(0.534163\pi\)
\(752\) 5.14092e11 + 2.47574e11i 1.60757 + 0.774165i
\(753\) −6.84560e10 + 1.42150e11i −0.212927 + 0.442148i
\(754\) 3.95167e11 + 4.95523e11i 1.22263 + 1.53313i
\(755\)