Properties

Label 43.9.f.a.2.15
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 2.15
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.397118 - 0.824624i) q^{2} +(14.6893 - 30.5027i) q^{3} +(159.091 - 199.494i) q^{4} +(1129.77 + 257.863i) q^{5} -30.9866 q^{6} -4070.52i q^{7} +(-456.118 - 104.106i) q^{8} +(3376.08 + 4233.47i) q^{9} +O(q^{10})\) \(q+(-0.397118 - 0.824624i) q^{2} +(14.6893 - 30.5027i) q^{3} +(159.091 - 199.494i) q^{4} +(1129.77 + 257.863i) q^{5} -30.9866 q^{6} -4070.52i q^{7} +(-456.118 - 104.106i) q^{8} +(3376.08 + 4233.47i) q^{9} +(-236.012 - 1034.04i) q^{10} +(6059.04 + 7597.79i) q^{11} +(-3748.16 - 7783.13i) q^{12} +(-9966.72 + 43667.0i) q^{13} +(-3356.65 + 1616.48i) q^{14} +(24461.0 - 30673.2i) q^{15} +(-14440.1 - 63266.3i) q^{16} +(-12268.6 - 53752.4i) q^{17} +(2150.32 - 4465.19i) q^{18} +(-67306.1 - 53674.9i) q^{19} +(231178. - 184359. i) q^{20} +(-124162. - 59793.2i) q^{21} +(3859.17 - 8013.65i) q^{22} +(86276.8 + 108188. i) q^{23} +(-9875.57 + 12383.6i) q^{24} +(857946. + 413165. i) q^{25} +(39966.9 - 9122.18i) q^{26} +(395280. - 90220.2i) q^{27} +(-812045. - 647584. i) q^{28} +(-462291. - 959958. i) q^{29} +(-35007.7 - 7990.29i) q^{30} +(11176.2 - 5382.18i) q^{31} +(-140076. + 111707. i) q^{32} +(320756. - 73210.4i) q^{33} +(-39453.5 + 31463.1i) q^{34} +(1.04964e6 - 4.59875e6i) q^{35} +1.38166e6 q^{36} +3.06706e6i q^{37} +(-17533.1 + 76817.5i) q^{38} +(1.18556e6 + 945450. i) q^{39} +(-488464. - 235232. i) q^{40} +(-1.79516e6 + 864503. i) q^{41} +126132. i q^{42} +(-3.00071e6 - 1.63827e6i) q^{43} +2.47965e6 q^{44} +(2.72254e6 + 5.65341e6i) q^{45} +(54952.1 - 114109. i) q^{46} +(242234. - 303752. i) q^{47} +(-2.14191e6 - 488876. i) q^{48} -1.08044e7 q^{49} -871558. i q^{50} +(-1.81981e6 - 415360. i) q^{51} +(7.12569e6 + 8.93534e6i) q^{52} +(-2.54182e6 - 1.11364e7i) q^{53} +(-231371. - 290130. i) q^{54} +(4.88613e6 + 1.01462e7i) q^{55} +(-423766. + 1.85664e6i) q^{56} +(-2.62591e6 + 1.26457e6i) q^{57} +(-608020. + 762434. i) q^{58} +(2.19176e6 + 9.60271e6i) q^{59} +(-2.22758e6 - 9.75965e6i) q^{60} +(-4.86797e6 + 1.01084e7i) q^{61} +(-8876.56 - 7078.82i) q^{62} +(1.72324e7 - 1.37424e7i) q^{63} +(-1.48198e7 - 7.13683e6i) q^{64} +(-2.25202e7 + 4.67637e7i) q^{65} +(-187749. - 235430. i) q^{66} +(4.56409e6 - 5.72319e6i) q^{67} +(-1.26751e7 - 6.10401e6i) q^{68} +(4.56736e6 - 1.04247e6i) q^{69} +(-4.20907e6 + 960694. i) q^{70} +(2.44937e7 + 1.95331e7i) q^{71} +(-1.09916e6 - 2.28243e6i) q^{72} +(-1.11421e7 - 2.54312e6i) q^{73} +(2.52917e6 - 1.21799e6i) q^{74} +(2.52052e7 - 2.01005e7i) q^{75} +(-2.14156e7 + 4.88797e6i) q^{76} +(3.09270e7 - 2.46634e7i) q^{77} +(308835. - 1.35309e6i) q^{78} +2.94536e7 q^{79} -7.52000e7i q^{80} +(-4.85097e6 + 2.12535e7i) q^{81} +(1.42578e6 + 1.13702e6i) q^{82} +(-2.74088e7 - 1.31994e7i) q^{83} +(-3.16814e7 + 1.52570e7i) q^{84} -6.38915e7i q^{85} +(-159325. + 3.12505e6i) q^{86} -3.60720e7 q^{87} +(-1.97266e6 - 4.09627e6i) q^{88} +(-2.49834e7 + 5.18785e7i) q^{89} +(3.58077e6 - 4.49014e6i) q^{90} +(1.77748e8 + 4.05698e7i) q^{91} +3.53087e7 q^{92} -419965. i q^{93} +(-346677. - 79126.7i) q^{94} +(-6.21997e7 - 7.79960e7i) q^{95} +(1.34974e6 + 5.91358e6i) q^{96} +(3.64439e6 + 4.56992e6i) q^{97} +(4.29061e6 + 8.90954e6i) q^{98} +(-1.17092e7 + 5.13015e7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.397118 0.824624i −0.0248199 0.0515390i 0.888190 0.459476i \(-0.151963\pi\)
−0.913010 + 0.407937i \(0.866248\pi\)
\(3\) 14.6893 30.5027i 0.181349 0.376576i −0.790400 0.612591i \(-0.790127\pi\)
0.971749 + 0.236015i \(0.0758415\pi\)
\(4\) 159.091 199.494i 0.621450 0.779273i
\(5\) 1129.77 + 257.863i 1.80763 + 0.412580i 0.987242 0.159225i \(-0.0508996\pi\)
0.820389 + 0.571805i \(0.193757\pi\)
\(6\) −30.9866 −0.0239094
\(7\) 4070.52i 1.69534i −0.530520 0.847672i \(-0.678003\pi\)
0.530520 0.847672i \(-0.321997\pi\)
\(8\) −456.118 104.106i −0.111357 0.0254165i
\(9\) 3376.08 + 4233.47i 0.514568 + 0.645248i
\(10\) −236.012 1034.04i −0.0236012 0.103404i
\(11\) 6059.04 + 7597.79i 0.413840 + 0.518939i 0.944440 0.328683i \(-0.106605\pi\)
−0.530600 + 0.847622i \(0.678033\pi\)
\(12\) −3748.16 7783.13i −0.180756 0.375344i
\(13\) −9966.72 + 43667.0i −0.348963 + 1.52890i 0.430578 + 0.902553i \(0.358310\pi\)
−0.779541 + 0.626351i \(0.784547\pi\)
\(14\) −3356.65 + 1616.48i −0.0873764 + 0.0420783i
\(15\) 24461.0 30673.2i 0.483181 0.605889i
\(16\) −14440.1 63266.3i −0.220339 0.965368i
\(17\) −12268.6 53752.4i −0.146893 0.643580i −0.993738 0.111740i \(-0.964358\pi\)
0.846845 0.531840i \(-0.178499\pi\)
\(18\) 2150.32 4465.19i 0.0204839 0.0425353i
\(19\) −67306.1 53674.9i −0.516464 0.411867i 0.330267 0.943888i \(-0.392861\pi\)
−0.846731 + 0.532021i \(0.821433\pi\)
\(20\) 231178. 184359.i 1.44486 1.15224i
\(21\) −124162. 59793.2i −0.638426 0.307450i
\(22\) 3859.17 8013.65i 0.0164742 0.0342089i
\(23\) 86276.8 + 108188.i 0.308307 + 0.386604i 0.911712 0.410831i \(-0.134761\pi\)
−0.603405 + 0.797435i \(0.706190\pi\)
\(24\) −9875.57 + 12383.6i −0.0297658 + 0.0373251i
\(25\) 857946. + 413165.i 2.19634 + 1.05770i
\(26\) 39966.9 9122.18i 0.0874595 0.0199621i
\(27\) 395280. 90220.2i 0.743790 0.169765i
\(28\) −812045. 647584.i −1.32114 1.05357i
\(29\) −462291. 959958.i −0.653618 1.35725i −0.919440 0.393229i \(-0.871358\pi\)
0.265823 0.964022i \(-0.414356\pi\)
\(30\) −35007.7 7990.29i −0.0432194 0.00986455i
\(31\) 11176.2 5382.18i 0.0121017 0.00582789i −0.427823 0.903862i \(-0.640719\pi\)
0.439925 + 0.898035i \(0.355005\pi\)
\(32\) −140076. + 111707.i −0.133587 + 0.106532i
\(33\) 320756. 73210.4i 0.270470 0.0617330i
\(34\) −39453.5 + 31463.1i −0.0295236 + 0.0235443i
\(35\) 1.04964e6 4.59875e6i 0.699466 3.06456i
\(36\) 1.38166e6 0.822602
\(37\) 3.06706e6i 1.63650i 0.574864 + 0.818249i \(0.305055\pi\)
−0.574864 + 0.818249i \(0.694945\pi\)
\(38\) −17533.1 + 76817.5i −0.00840861 + 0.0368405i
\(39\) 1.18556e6 + 945450.i 0.512465 + 0.408677i
\(40\) −488464. 235232.i −0.190806 0.0918874i
\(41\) −1.79516e6 + 864503.i −0.635283 + 0.305936i −0.723666 0.690150i \(-0.757544\pi\)
0.0883827 + 0.996087i \(0.471830\pi\)
\(42\) 126132.i 0.0405347i
\(43\) −3.00071e6 1.63827e6i −0.877708 0.479196i
\(44\) 2.47965e6 0.661576
\(45\) 2.72254e6 + 5.65341e6i 0.663933 + 1.37867i
\(46\) 54952.1 114109.i 0.0122731 0.0254853i
\(47\) 242234. 303752.i 0.0496414 0.0622483i −0.756391 0.654120i \(-0.773039\pi\)
0.806032 + 0.591871i \(0.201611\pi\)
\(48\) −2.14191e6 488876.i −0.403493 0.0920945i
\(49\) −1.08044e7 −1.87419
\(50\) 871558.i 0.139449i
\(51\) −1.81981e6 415360.i −0.268996 0.0613965i
\(52\) 7.12569e6 + 8.93534e6i 0.974572 + 1.22207i
\(53\) −2.54182e6 1.11364e7i −0.322137 1.41137i −0.833742 0.552154i \(-0.813806\pi\)
0.511605 0.859221i \(-0.329051\pi\)
\(54\) −231371. 290130.i −0.0272103 0.0341206i
\(55\) 4.88613e6 + 1.01462e7i 0.533967 + 1.10879i
\(56\) −423766. + 1.85664e6i −0.0430898 + 0.188789i
\(57\) −2.62591e6 + 1.26457e6i −0.248760 + 0.119796i
\(58\) −608020. + 762434.i −0.0537287 + 0.0673736i
\(59\) 2.19176e6 + 9.60271e6i 0.180877 + 0.792475i 0.981214 + 0.192924i \(0.0617971\pi\)
−0.800336 + 0.599551i \(0.795346\pi\)
\(60\) −2.22758e6 9.75965e6i −0.171881 0.753060i
\(61\) −4.86797e6 + 1.01084e7i −0.351583 + 0.730071i −0.999499 0.0316413i \(-0.989927\pi\)
0.647916 + 0.761712i \(0.275641\pi\)
\(62\) −8876.56 7078.82i −0.000600728 0.000479064i
\(63\) 1.72324e7 1.37424e7i 1.09392 0.872370i
\(64\) −1.48198e7 7.13683e6i −0.883328 0.425388i
\(65\) −2.25202e7 + 4.67637e7i −1.26159 + 2.61972i
\(66\) −187749. 235430.i −0.00989468 0.0124075i
\(67\) 4.56409e6 5.72319e6i 0.226493 0.284013i −0.655580 0.755125i \(-0.727576\pi\)
0.882073 + 0.471112i \(0.156147\pi\)
\(68\) −1.26751e7 6.10401e6i −0.592811 0.285483i
\(69\) 4.56736e6 1.04247e6i 0.201497 0.0459904i
\(70\) −4.20907e6 + 960694.i −0.175305 + 0.0400122i
\(71\) 2.44937e7 + 1.95331e7i 0.963876 + 0.768666i 0.972884 0.231294i \(-0.0742958\pi\)
−0.00900754 + 0.999959i \(0.502867\pi\)
\(72\) −1.09916e6 2.28243e6i −0.0409008 0.0849314i
\(73\) −1.11421e7 2.54312e6i −0.392353 0.0895521i 0.0217928 0.999763i \(-0.493063\pi\)
−0.414146 + 0.910210i \(0.635920\pi\)
\(74\) 2.52917e6 1.21799e6i 0.0843435 0.0406177i
\(75\) 2.52052e7 2.01005e7i 0.796610 0.635276i
\(76\) −2.14156e7 + 4.88797e6i −0.641913 + 0.146512i
\(77\) 3.09270e7 2.46634e7i 0.879781 0.701602i
\(78\) 308835. 1.35309e6i 0.00834349 0.0365552i
\(79\) 2.94536e7 0.756189 0.378095 0.925767i \(-0.376579\pi\)
0.378095 + 0.925767i \(0.376579\pi\)
\(80\) 7.52000e7i 1.83594i
\(81\) −4.85097e6 + 2.12535e7i −0.112691 + 0.493731i
\(82\) 1.42578e6 + 1.13702e6i 0.0315353 + 0.0251486i
\(83\) −2.74088e7 1.31994e7i −0.577534 0.278126i 0.122228 0.992502i \(-0.460996\pi\)
−0.699762 + 0.714376i \(0.746711\pi\)
\(84\) −3.16814e7 + 1.52570e7i −0.636337 + 0.306444i
\(85\) 6.38915e7i 1.22396i
\(86\) −159325. + 3.12505e6i −0.00291265 + 0.0571298i
\(87\) −3.60720e7 −0.629642
\(88\) −1.97266e6 4.09627e6i −0.0328944 0.0683059i
\(89\) −2.49834e7 + 5.18785e7i −0.398190 + 0.826851i 0.601420 + 0.798933i \(0.294602\pi\)
−0.999610 + 0.0279178i \(0.991112\pi\)
\(90\) 3.58077e6 4.49014e6i 0.0545766 0.0684369i
\(91\) 1.77748e8 + 4.05698e7i 2.59202 + 0.591612i
\(92\) 3.53087e7 0.492867
\(93\) 419965.i 0.00561411i
\(94\) −346677. 79126.7i −0.00444031 0.00101347i
\(95\) −6.21997e7 7.79960e7i −0.763649 0.957586i
\(96\) 1.34974e6 + 5.91358e6i 0.0158915 + 0.0696250i
\(97\) 3.64439e6 + 4.56992e6i 0.0411659 + 0.0516204i 0.801988 0.597340i \(-0.203776\pi\)
−0.760822 + 0.648960i \(0.775204\pi\)
\(98\) 4.29061e6 + 8.90954e6i 0.0465173 + 0.0965941i
\(99\) −1.17092e7 + 5.13015e7i −0.121895 + 0.534059i
\(100\) 2.18915e8 1.05424e8i 2.18915 1.05424i
\(101\) −4.81096e7 + 6.03275e7i −0.462324 + 0.579736i −0.957273 0.289186i \(-0.906615\pi\)
0.494949 + 0.868922i \(0.335187\pi\)
\(102\) 380164. + 1.66561e6i 0.00351213 + 0.0153876i
\(103\) −2.22830e7 9.76284e7i −0.197982 0.867415i −0.972136 0.234418i \(-0.924682\pi\)
0.774154 0.632997i \(-0.218176\pi\)
\(104\) 9.09201e6 1.88798e7i 0.0777189 0.161385i
\(105\) −1.24856e8 9.95692e7i −1.02719 0.819158i
\(106\) −8.17397e6 + 6.51852e6i −0.0647455 + 0.0516328i
\(107\) 4.89727e7 + 2.35840e7i 0.373611 + 0.179921i 0.611260 0.791430i \(-0.290663\pi\)
−0.237650 + 0.971351i \(0.576377\pi\)
\(108\) 4.48872e7 9.32093e7i 0.329934 0.685116i
\(109\) 5.09467e7 + 6.38852e7i 0.360920 + 0.452579i 0.928827 0.370514i \(-0.120818\pi\)
−0.567907 + 0.823092i \(0.692247\pi\)
\(110\) 6.42639e6 8.05844e6i 0.0438931 0.0550402i
\(111\) 9.35535e7 + 4.50530e7i 0.616266 + 0.296778i
\(112\) −2.57527e8 + 5.87789e7i −1.63663 + 0.373550i
\(113\) −1.44195e7 + 3.29116e6i −0.0884374 + 0.0201853i −0.266511 0.963832i \(-0.585871\pi\)
0.178073 + 0.984017i \(0.443014\pi\)
\(114\) 2.08559e6 + 1.66320e6i 0.0123484 + 0.00984749i
\(115\) 6.95754e7 + 1.44475e8i 0.397800 + 0.826039i
\(116\) −2.65052e8 6.04965e7i −1.46386 0.334117i
\(117\) −2.18512e8 + 1.05230e8i −1.16609 + 0.561558i
\(118\) 7.04824e6 5.62078e6i 0.0363540 0.0289914i
\(119\) −2.18801e8 + 4.99398e7i −1.09109 + 0.249034i
\(120\) −1.43504e7 + 1.14441e7i −0.0692052 + 0.0551893i
\(121\) 2.66848e7 1.16914e8i 0.124487 0.545412i
\(122\) 1.02688e7 0.0463534
\(123\) 6.74561e7i 0.294714i
\(124\) 704324. 3.08584e6i 0.00297910 0.0130523i
\(125\) 5.08833e8 + 4.05781e8i 2.08418 + 1.66208i
\(126\) −1.81756e7 8.75293e6i −0.0721120 0.0347273i
\(127\) −1.51770e8 + 7.30886e7i −0.583407 + 0.280954i −0.702217 0.711963i \(-0.747806\pi\)
0.118810 + 0.992917i \(0.462092\pi\)
\(128\) 6.09208e7i 0.226948i
\(129\) −9.40500e7 + 6.74645e7i −0.339625 + 0.243622i
\(130\) 4.75056e7 0.166330
\(131\) 1.46603e8 + 3.04425e8i 0.497805 + 1.03370i 0.986879 + 0.161460i \(0.0516204\pi\)
−0.489074 + 0.872242i \(0.662665\pi\)
\(132\) 3.64244e7 7.56359e7i 0.119976 0.249134i
\(133\) −2.18485e8 + 2.73971e8i −0.698256 + 0.875585i
\(134\) −6.53196e6 1.49088e6i −0.0202593 0.00462405i
\(135\) 4.69840e8 1.41454
\(136\) 2.57947e7i 0.0754007i
\(137\) 4.70298e8 + 1.07342e8i 1.33503 + 0.304712i 0.829697 0.558213i \(-0.188513\pi\)
0.505332 + 0.862925i \(0.331370\pi\)
\(138\) −2.67343e6 3.35237e6i −0.00737143 0.00924349i
\(139\) −2.23584e7 9.79586e7i −0.0598938 0.262412i 0.936112 0.351702i \(-0.114397\pi\)
−0.996006 + 0.0892908i \(0.971540\pi\)
\(140\) −7.50436e8 9.41017e8i −1.95345 2.44954i
\(141\) −5.70699e6 1.18507e7i −0.0144388 0.0299825i
\(142\) 6.38056e6 2.79551e7i 0.0156930 0.0687554i
\(143\) −3.92162e8 + 1.88855e8i −0.937823 + 0.451632i
\(144\) 2.19085e8 2.74724e8i 0.509522 0.638920i
\(145\) −2.74746e8 1.20374e9i −0.621525 2.72308i
\(146\) 2.32763e6 + 1.01980e7i 0.00512274 + 0.0224442i
\(147\) −1.58709e8 + 3.29562e8i −0.339884 + 0.705777i
\(148\) 6.11860e8 + 4.87942e8i 1.27528 + 1.01700i
\(149\) −2.85312e8 + 2.27528e8i −0.578861 + 0.461626i −0.868624 0.495472i \(-0.834995\pi\)
0.289763 + 0.957099i \(0.406424\pi\)
\(150\) −2.65848e7 1.28026e7i −0.0525133 0.0252890i
\(151\) −4.22807e8 + 8.77967e8i −0.813269 + 1.68877i −0.0923760 + 0.995724i \(0.529446\pi\)
−0.720893 + 0.693046i \(0.756268\pi\)
\(152\) 2.51117e7 + 3.14891e7i 0.0470437 + 0.0589910i
\(153\) 1.86139e8 2.33411e8i 0.339682 0.425948i
\(154\) −3.26197e7 1.57088e7i −0.0579959 0.0279294i
\(155\) 1.40144e7 3.19870e6i 0.0242800 0.00554175i
\(156\) 3.77223e8 8.60987e7i 0.636942 0.145378i
\(157\) 3.56289e8 + 2.84131e8i 0.586413 + 0.467649i 0.871191 0.490945i \(-0.163348\pi\)
−0.284778 + 0.958594i \(0.591920\pi\)
\(158\) −1.16966e7 2.42882e7i −0.0187685 0.0389733i
\(159\) −3.77028e8 8.60542e7i −0.589909 0.134643i
\(160\) −1.87058e8 + 9.00826e7i −0.285429 + 0.137455i
\(161\) 4.40381e8 3.51192e8i 0.655428 0.522686i
\(162\) 1.94525e7 4.43992e6i 0.0282434 0.00644636i
\(163\) −5.91392e7 + 4.71619e7i −0.0837770 + 0.0668100i −0.664483 0.747304i \(-0.731348\pi\)
0.580706 + 0.814114i \(0.302777\pi\)
\(164\) −1.13131e8 + 4.95658e8i −0.156389 + 0.685183i
\(165\) 3.81258e8 0.514379
\(166\) 2.78437e7i 0.0366686i
\(167\) 1.66936e8 7.31393e8i 0.214626 0.940340i −0.746750 0.665104i \(-0.768387\pi\)
0.961377 0.275235i \(-0.0887558\pi\)
\(168\) 5.04076e7 + 4.01988e7i 0.0632789 + 0.0504633i
\(169\) −1.07253e9 5.16502e8i −1.31481 0.633177i
\(170\) −5.26865e7 + 2.53725e7i −0.0630817 + 0.0303786i
\(171\) 4.66149e8i 0.545181i
\(172\) −8.04212e8 + 3.37988e8i −0.918876 + 0.386178i
\(173\) 8.02346e8 0.895730 0.447865 0.894101i \(-0.352185\pi\)
0.447865 + 0.894101i \(0.352185\pi\)
\(174\) 1.43248e7 + 2.97459e7i 0.0156276 + 0.0324511i
\(175\) 1.68180e9 3.49229e9i 1.79317 3.72356i
\(176\) 3.93191e8 4.93046e8i 0.409782 0.513850i
\(177\) 3.25103e8 + 7.42028e7i 0.331229 + 0.0756009i
\(178\) 5.27016e7 0.0524981
\(179\) 3.88871e8i 0.378786i −0.981901 0.189393i \(-0.939348\pi\)
0.981901 0.189393i \(-0.0606520\pi\)
\(180\) 1.56095e9 + 3.56277e8i 1.48696 + 0.339389i
\(181\) 4.04768e7 + 5.07563e7i 0.0377131 + 0.0472907i 0.800330 0.599559i \(-0.204657\pi\)
−0.762617 + 0.646850i \(0.776086\pi\)
\(182\) −3.71320e7 1.62686e8i −0.0338426 0.148274i
\(183\) 2.36827e8 + 2.96972e8i 0.211168 + 0.264796i
\(184\) −2.80895e7 5.83284e7i −0.0245060 0.0508872i
\(185\) −7.90880e8 + 3.46507e9i −0.675187 + 2.95819i
\(186\) −346313. + 166776.i −0.000289346 + 0.000139342i
\(187\) 3.34064e8 4.18902e8i 0.273189 0.342568i
\(188\) −2.20594e7 9.66485e7i −0.0176588 0.0773684i
\(189\) −3.67243e8 1.60900e9i −0.287811 1.26098i
\(190\) −3.96167e7 + 8.22650e7i −0.0303994 + 0.0631249i
\(191\) −1.93138e9 1.54022e9i −1.45122 1.15731i −0.957769 0.287540i \(-0.907162\pi\)
−0.493455 0.869771i \(-0.664266\pi\)
\(192\) −4.35384e8 + 3.47208e8i −0.320382 + 0.255496i
\(193\) 2.37184e9 + 1.14222e9i 1.70945 + 0.823229i 0.991944 + 0.126680i \(0.0404320\pi\)
0.717509 + 0.696549i \(0.245282\pi\)
\(194\) 2.32121e6 4.82005e6i 0.00163873 0.00340286i
\(195\) 1.09561e9 + 1.37385e9i 0.757735 + 0.950170i
\(196\) −1.71888e9 + 2.15540e9i −1.16472 + 1.46051i
\(197\) −7.23546e8 3.48442e8i −0.480398 0.231348i 0.177981 0.984034i \(-0.443043\pi\)
−0.658379 + 0.752686i \(0.728758\pi\)
\(198\) 4.69544e7 1.07170e7i 0.0305503 0.00697291i
\(199\) 5.43097e8 1.23958e8i 0.346310 0.0790430i −0.0458281 0.998949i \(-0.514593\pi\)
0.392138 + 0.919906i \(0.371735\pi\)
\(200\) −3.48312e8 2.77769e8i −0.217695 0.173606i
\(201\) −1.07529e8 2.23286e8i −0.0658782 0.136797i
\(202\) 6.88527e7 + 1.57152e7i 0.0413538 + 0.00943874i
\(203\) −3.90753e9 + 1.88177e9i −2.30101 + 1.10811i
\(204\) −3.72377e8 + 2.96961e8i −0.215012 + 0.171466i
\(205\) −2.25104e9 + 5.13785e8i −1.27458 + 0.290915i
\(206\) −7.16577e7 + 5.71451e7i −0.0397918 + 0.0317329i
\(207\) −1.66732e8 + 7.30501e8i −0.0908108 + 0.397868i
\(208\) 2.90657e9 1.55285
\(209\) 8.36596e8i 0.438461i
\(210\) −3.25247e7 + 1.42500e8i −0.0167238 + 0.0732719i
\(211\) 1.31913e9 + 1.05197e9i 0.665512 + 0.530728i 0.896956 0.442120i \(-0.145773\pi\)
−0.231444 + 0.972848i \(0.574345\pi\)
\(212\) −2.62603e9 1.26463e9i −1.30004 0.626066i
\(213\) 9.55607e8 4.60196e8i 0.464260 0.223576i
\(214\) 4.97497e7i 0.0237211i
\(215\) −2.96766e9 2.62464e9i −1.38887 1.22833i
\(216\) −1.89687e8 −0.0871411
\(217\) −2.19083e7 4.54931e7i −0.00988029 0.0205166i
\(218\) 3.24494e7 6.73819e7i 0.0143675 0.0298344i
\(219\) −2.41242e8 + 3.02508e8i −0.104876 + 0.131511i
\(220\) 2.80144e9 + 6.39409e8i 1.19589 + 0.272953i
\(221\) 2.46949e9 1.03523
\(222\) 9.50379e7i 0.0391277i
\(223\) 1.71954e9 + 3.92475e8i 0.695335 + 0.158706i 0.555559 0.831477i \(-0.312504\pi\)
0.139776 + 0.990183i \(0.455362\pi\)
\(224\) 4.54705e8 + 5.70182e8i 0.180608 + 0.226476i
\(225\) 1.14737e9 + 5.02697e9i 0.447687 + 1.96144i
\(226\) 8.44021e6 + 1.05837e7i 0.00323534 + 0.00405698i
\(227\) −7.36190e8 1.52871e9i −0.277260 0.575736i 0.715113 0.699009i \(-0.246375\pi\)
−0.992373 + 0.123273i \(0.960661\pi\)
\(228\) −1.65484e8 + 7.25034e8i −0.0612375 + 0.268299i
\(229\) −1.07023e9 + 5.15395e8i −0.389166 + 0.187413i −0.618227 0.786000i \(-0.712149\pi\)
0.229061 + 0.973412i \(0.426435\pi\)
\(230\) 9.15078e7 1.14747e8i 0.0326999 0.0410044i
\(231\) −2.98005e8 1.30564e9i −0.104659 0.458540i
\(232\) 1.10922e8 + 4.85982e8i 0.0382883 + 0.167752i
\(233\) 3.26790e8 6.78587e8i 0.110878 0.230241i −0.838145 0.545448i \(-0.816360\pi\)
0.949023 + 0.315207i \(0.102074\pi\)
\(234\) 1.73550e8 + 1.38401e8i 0.0578843 + 0.0461612i
\(235\) 3.51995e8 2.80707e8i 0.115416 0.0920410i
\(236\) 2.26437e9 + 1.09046e9i 0.729961 + 0.351531i
\(237\) 4.32653e8 8.98414e8i 0.137135 0.284763i
\(238\) 1.28071e8 + 1.60596e8i 0.0399157 + 0.0500527i
\(239\) −2.74076e9 + 3.43680e9i −0.840000 + 1.05333i 0.157829 + 0.987467i \(0.449551\pi\)
−0.997829 + 0.0658603i \(0.979021\pi\)
\(240\) −2.29380e9 1.10464e9i −0.691370 0.332946i
\(241\) −1.82168e9 + 4.15786e8i −0.540011 + 0.123254i −0.483823 0.875166i \(-0.660752\pi\)
−0.0561887 + 0.998420i \(0.517895\pi\)
\(242\) −1.07007e8 + 2.44237e7i −0.0311997 + 0.00712114i
\(243\) 2.65680e9 + 2.11873e9i 0.761964 + 0.607646i
\(244\) 1.24212e9 + 2.57929e9i 0.350433 + 0.727682i
\(245\) −1.22064e10 2.78604e9i −3.38785 0.773255i
\(246\) 5.56259e7 2.67880e7i 0.0151893 0.00731476i
\(247\) 3.01464e9 2.40410e9i 0.809931 0.645899i
\(248\) −5.65800e6 + 1.29140e6i −0.00149574 + 0.000341393i
\(249\) −8.05233e8 + 6.42152e8i −0.209471 + 0.167048i
\(250\) 1.32550e8 5.80739e8i 0.0339328 0.148669i
\(251\) −3.90634e8 −0.0984181 −0.0492091 0.998789i \(-0.515670\pi\)
−0.0492091 + 0.998789i \(0.515670\pi\)
\(252\) 5.62406e9i 1.39459i
\(253\) −2.99233e8 + 1.31103e9i −0.0730344 + 0.319985i
\(254\) 1.20541e8 + 9.61285e7i 0.0289602 + 0.0230950i
\(255\) −1.94886e9 9.38522e8i −0.460914 0.221965i
\(256\) −3.74363e9 + 1.80284e9i −0.871631 + 0.419755i
\(257\) 3.81750e9i 0.875077i −0.899200 0.437539i \(-0.855850\pi\)
0.899200 0.437539i \(-0.144150\pi\)
\(258\) 9.29818e7 + 5.07646e7i 0.0209855 + 0.0114573i
\(259\) 1.24845e10 2.77443
\(260\) 5.74630e9 + 1.19323e10i 1.25746 + 2.61115i
\(261\) 2.50322e9 5.19799e9i 0.539433 1.12014i
\(262\) 1.92818e8 2.41786e8i 0.0409205 0.0513127i
\(263\) 1.16476e9 + 2.65849e8i 0.243452 + 0.0555664i 0.342506 0.939516i \(-0.388724\pi\)
−0.0990535 + 0.995082i \(0.531582\pi\)
\(264\) −1.53924e8 −0.0316877
\(265\) 1.32370e10i 2.68415i
\(266\) 3.12688e8 + 7.13689e7i 0.0624574 + 0.0142555i
\(267\) 1.21544e9 + 1.52412e9i 0.239161 + 0.299898i
\(268\) −4.15635e8 1.82102e9i −0.0805699 0.353000i
\(269\) −1.84144e9 2.30909e9i −0.351680 0.440993i 0.574255 0.818677i \(-0.305292\pi\)
−0.925935 + 0.377684i \(0.876721\pi\)
\(270\) −1.86582e8 3.87442e8i −0.0351087 0.0729040i
\(271\) 1.91967e9 8.41060e9i 0.355917 1.55937i −0.407339 0.913277i \(-0.633543\pi\)
0.763256 0.646096i \(-0.223599\pi\)
\(272\) −3.22356e9 + 1.55238e9i −0.588925 + 0.283611i
\(273\) 3.84848e9 4.82584e9i 0.692848 0.868804i
\(274\) −9.82466e7 4.30447e8i −0.0174307 0.0763690i
\(275\) 2.05918e9 + 9.02187e9i 0.360051 + 1.57749i
\(276\) 5.18660e8 1.07701e9i 0.0893812 0.185602i
\(277\) −7.83652e7 6.24942e7i −0.0133108 0.0106150i 0.616812 0.787111i \(-0.288424\pi\)
−0.630123 + 0.776496i \(0.716995\pi\)
\(278\) −7.19001e7 + 5.73384e7i −0.0120379 + 0.00959989i
\(279\) 6.05171e7 + 2.91435e7i 0.00998761 + 0.00480978i
\(280\) −9.57516e8 + 1.98830e9i −0.155781 + 0.323482i
\(281\) −6.78215e8 8.50455e8i −0.108778 0.136404i 0.724462 0.689315i \(-0.242088\pi\)
−0.833240 + 0.552911i \(0.813517\pi\)
\(282\) −7.50602e6 + 9.41225e6i −0.00118690 + 0.00148832i
\(283\) −9.29968e9 4.47849e9i −1.44985 0.698210i −0.467279 0.884110i \(-0.654766\pi\)
−0.982569 + 0.185901i \(0.940480\pi\)
\(284\) 7.79347e9 1.77881e9i 1.19800 0.273436i
\(285\) −3.29275e9 + 7.51550e8i −0.499091 + 0.113914i
\(286\) 3.11469e8 + 2.48388e8i 0.0465533 + 0.0371250i
\(287\) 3.51898e9 + 7.30724e9i 0.518668 + 1.07702i
\(288\) −9.45815e8 2.15876e8i −0.137479 0.0313787i
\(289\) 3.54614e9 1.70773e9i 0.508351 0.244809i
\(290\) −8.83526e8 + 7.04589e8i −0.124919 + 0.0996193i
\(291\) 1.92928e8 4.40346e7i 0.0269044 0.00614076i
\(292\) −2.27995e9 + 1.81820e9i −0.313613 + 0.250098i
\(293\) 2.63164e9 1.15300e10i 0.357072 1.56444i −0.403375 0.915035i \(-0.632163\pi\)
0.760447 0.649400i \(-0.224980\pi\)
\(294\) 3.34791e8 0.0448109
\(295\) 1.14140e10i 1.50713i
\(296\) 3.19300e8 1.39894e9i 0.0415941 0.182236i
\(297\) 3.08049e9 + 2.45661e9i 0.395908 + 0.315726i
\(298\) 3.00928e8 + 1.44919e8i 0.0381590 + 0.0183764i
\(299\) −5.58414e9 + 2.68918e9i −0.698669 + 0.336461i
\(300\) 8.22611e9i 1.01557i
\(301\) −6.66863e9 + 1.22145e10i −0.812402 + 1.48802i
\(302\) 8.91898e8 0.107223
\(303\) 1.13345e9 + 2.35364e9i 0.134472 + 0.279235i
\(304\) −2.42390e9 + 5.03328e9i −0.283805 + 0.589328i
\(305\) −8.10627e9 + 1.01649e10i −0.936746 + 1.17464i
\(306\) −2.66396e8 6.08032e7i −0.0303838 0.00693491i
\(307\) 3.62198e9 0.407749 0.203874 0.978997i \(-0.434647\pi\)
0.203874 + 0.978997i \(0.434647\pi\)
\(308\) 1.00935e10i 1.12160i
\(309\) −3.30525e9 7.54401e8i −0.362552 0.0827501i
\(310\) −8.20310e6 1.02864e7i −0.000888242 0.00111382i
\(311\) 2.03571e9 + 8.91902e9i 0.217608 + 0.953401i 0.959240 + 0.282594i \(0.0911949\pi\)
−0.741632 + 0.670807i \(0.765948\pi\)
\(312\) −4.42327e8 5.54661e8i −0.0466794 0.0585341i
\(313\) −5.21467e9 1.08284e10i −0.543312 1.12820i −0.974178 0.225783i \(-0.927506\pi\)
0.430866 0.902416i \(-0.358208\pi\)
\(314\) 9.28125e7 4.06638e8i 0.00954746 0.0418301i
\(315\) 2.30123e10 1.10822e10i 2.33732 1.12560i
\(316\) 4.68581e9 5.87582e9i 0.469934 0.589278i
\(317\) 1.00358e9 + 4.39699e9i 0.0993840 + 0.435430i 1.00000 0.000813299i \(0.000258881\pi\)
−0.900616 + 0.434616i \(0.856884\pi\)
\(318\) 7.87623e7 + 3.45080e8i 0.00770211 + 0.0337452i
\(319\) 4.49252e9 9.32881e9i 0.433838 0.900873i
\(320\) −1.49026e10 1.18844e10i −1.42122 1.13339i
\(321\) 1.43875e9 1.14737e9i 0.135508 0.108064i
\(322\) −4.64484e8 2.23684e8i −0.0432064 0.0208071i
\(323\) −2.05940e9 + 4.27639e9i −0.189204 + 0.392886i
\(324\) 3.46819e9 + 4.34898e9i 0.314719 + 0.394646i
\(325\) −2.65926e10 + 3.33461e10i −2.38357 + 2.98890i
\(326\) 6.23761e7 + 3.00388e7i 0.00552266 + 0.00265957i
\(327\) 2.69704e9 6.15582e8i 0.235883 0.0538387i
\(328\) 9.08805e8 2.07429e8i 0.0785191 0.0179215i
\(329\) −1.23643e9 9.86020e8i −0.105532 0.0841593i
\(330\) −1.51405e8 3.14395e8i −0.0127668 0.0265106i
\(331\) 5.69008e9 + 1.29872e9i 0.474031 + 0.108194i 0.452860 0.891582i \(-0.350404\pi\)
0.0211703 + 0.999776i \(0.493261\pi\)
\(332\) −6.99369e9 + 3.36799e9i −0.575644 + 0.277216i
\(333\) −1.29843e10 + 1.03546e10i −1.05595 + 0.842090i
\(334\) −6.69417e8 + 1.52790e8i −0.0537912 + 0.0122775i
\(335\) 6.63216e9 5.28897e9i 0.526594 0.419945i
\(336\) −1.98998e9 + 8.71868e9i −0.156132 + 0.684059i
\(337\) 1.29168e10 1.00146 0.500730 0.865603i \(-0.333065\pi\)
0.500730 + 0.865603i \(0.333065\pi\)
\(338\) 1.08954e9i 0.0834792i
\(339\) −1.11423e8 + 4.88178e8i −0.00843679 + 0.0369640i
\(340\) −1.27460e10 1.01646e10i −0.953799 0.760630i
\(341\) 1.08610e8 + 5.23037e7i 0.00803251 + 0.00386825i
\(342\) −3.84398e8 + 1.85116e8i −0.0280981 + 0.0135313i
\(343\) 2.05136e10i 1.48206i
\(344\) 1.19812e9 + 1.05964e9i 0.0855595 + 0.0756701i
\(345\) 5.42888e9 0.383207
\(346\) −3.18626e8 6.61634e8i −0.0222319 0.0461650i
\(347\) 3.90618e9 8.11127e9i 0.269423 0.559463i −0.721732 0.692173i \(-0.756654\pi\)
0.991155 + 0.132710i \(0.0423679\pi\)
\(348\) −5.73874e9 + 7.19615e9i −0.391290 + 0.490663i
\(349\) −1.23220e9 2.81241e8i −0.0830573 0.0189573i 0.180790 0.983522i \(-0.442134\pi\)
−0.263848 + 0.964564i \(0.584992\pi\)
\(350\) −3.54770e9 −0.236415
\(351\) 1.81599e10i 1.19643i
\(352\) −1.69745e9 3.87432e8i −0.110567 0.0252362i
\(353\) −1.42121e10 1.78214e10i −0.915290 1.14774i −0.988621 0.150429i \(-0.951934\pi\)
0.0733312 0.997308i \(-0.476637\pi\)
\(354\) −6.79151e7 2.97555e8i −0.00432467 0.0189476i
\(355\) 2.26354e10 + 2.83839e10i 1.42520 + 1.78714i
\(356\) 6.37481e9 + 1.32374e10i 0.396887 + 0.824145i
\(357\) −1.69073e9 + 7.40758e9i −0.104088 + 0.456040i
\(358\) −3.20673e8 + 1.54428e8i −0.0195222 + 0.00940142i
\(359\) 9.17531e9 1.15055e10i 0.552386 0.692671i −0.424744 0.905314i \(-0.639636\pi\)
0.977130 + 0.212643i \(0.0682072\pi\)
\(360\) −6.53246e8 2.86206e9i −0.0388926 0.170400i
\(361\) −2.13007e9 9.33245e9i −0.125420 0.549499i
\(362\) 2.57808e7 5.35344e7i 0.00150128 0.00311745i
\(363\) −3.17420e9 2.53134e9i −0.182813 0.145789i
\(364\) 3.63715e10 2.90053e10i 2.07184 1.65224i
\(365\) −1.19323e10 5.74628e9i −0.672283 0.323754i
\(366\) 1.50842e8 3.13226e8i 0.00840616 0.0174556i
\(367\) −1.66908e10 2.09296e10i −0.920054 1.15371i −0.987756 0.156005i \(-0.950138\pi\)
0.0677025 0.997706i \(-0.478433\pi\)
\(368\) 5.59879e9 7.02066e9i 0.305283 0.382813i
\(369\) −9.72045e9 4.68112e9i −0.524301 0.252490i
\(370\) 3.17146e9 7.23864e8i 0.169220 0.0386234i
\(371\) −4.53311e10 + 1.03465e10i −2.39277 + 0.546134i
\(372\) −8.37804e7 6.68127e7i −0.00437493 0.00348889i
\(373\) −3.84600e9 7.98631e9i −0.198689 0.412583i 0.777689 0.628649i \(-0.216392\pi\)
−0.976379 + 0.216066i \(0.930677\pi\)
\(374\) −4.78100e8 1.09123e8i −0.0244361 0.00557738i
\(375\) 1.98518e10 9.56012e9i 1.00386 0.483435i
\(376\) −1.42110e8 + 1.13329e8i −0.00711005 + 0.00567008i
\(377\) 4.65261e10 1.06193e10i 2.30320 0.525690i
\(378\) −1.18098e9 + 9.41800e8i −0.0578463 + 0.0461309i
\(379\) −4.46490e9 + 1.95620e10i −0.216399 + 0.948105i 0.743715 + 0.668496i \(0.233062\pi\)
−0.960114 + 0.279608i \(0.909795\pi\)
\(380\) −2.54551e10 −1.22079
\(381\) 5.70301e9i 0.270648i
\(382\) −5.03120e8 + 2.20431e9i −0.0236275 + 0.103519i
\(383\) −1.78535e10 1.42377e10i −0.829714 0.661675i 0.113618 0.993525i \(-0.463756\pi\)
−0.943332 + 0.331849i \(0.892327\pi\)
\(384\) 1.85825e9 + 8.94885e8i 0.0854631 + 0.0411568i
\(385\) 4.13001e10 1.98891e10i 1.87979 0.905258i
\(386\) 2.40948e9i 0.108536i
\(387\) −3.19505e9 1.82344e10i −0.142441 0.812918i
\(388\) 1.49146e9 0.0658089
\(389\) 1.77553e9 + 3.68693e9i 0.0775408 + 0.161015i 0.936135 0.351641i \(-0.114376\pi\)
−0.858594 + 0.512656i \(0.828662\pi\)
\(390\) 6.97825e8 1.44905e9i 0.0301639 0.0626360i
\(391\) 4.75685e9 5.96491e9i 0.203523 0.255209i
\(392\) 4.92807e9 + 1.12480e9i 0.208705 + 0.0476355i
\(393\) 1.14393e10 0.479544
\(394\) 7.35026e8i 0.0305013i
\(395\) 3.32758e10 + 7.59499e9i 1.36691 + 0.311989i
\(396\) 8.37150e9 + 1.04975e10i 0.340426 + 0.426881i
\(397\) 3.13681e9 + 1.37433e10i 0.126278 + 0.553259i 0.997997 + 0.0632540i \(0.0201478\pi\)
−0.871720 + 0.490005i \(0.836995\pi\)
\(398\) −3.17893e8 3.98625e8i −0.0126692 0.0158866i
\(399\) 5.14746e9 + 1.06888e10i 0.203096 + 0.421733i
\(400\) 1.37506e10 6.02452e10i 0.537132 2.35333i
\(401\) −3.95695e10 + 1.90557e10i −1.53032 + 0.736965i −0.994238 0.107199i \(-0.965812\pi\)
−0.536085 + 0.844164i \(0.680097\pi\)
\(402\) −1.41426e8 + 1.77342e8i −0.00541532 + 0.00679059i
\(403\) 1.23634e8 + 5.41675e8i 0.00468724 + 0.0205361i
\(404\) 4.38117e9 + 1.91951e10i 0.164462 + 0.720553i
\(405\) −1.09610e10 + 2.27607e10i −0.407407 + 0.845989i
\(406\) 3.10350e9 + 2.47496e9i 0.114222 + 0.0910887i
\(407\) −2.33029e10 + 1.85834e10i −0.849243 + 0.677249i
\(408\) 7.86807e8 + 3.78906e8i 0.0283941 + 0.0136739i
\(409\) −6.29652e8 + 1.30749e9i −0.0225013 + 0.0467244i −0.911917 0.410376i \(-0.865398\pi\)
0.889415 + 0.457100i \(0.151112\pi\)
\(410\) 1.31761e9 + 1.65223e9i 0.0466284 + 0.0584702i
\(411\) 1.01826e10 1.27685e10i 0.356854 0.447481i
\(412\) −2.30213e10 1.10865e10i −0.798989 0.384773i
\(413\) 3.90881e10 8.92159e9i 1.34352 0.306649i
\(414\) 6.68601e8 1.52604e8i 0.0227597 0.00519474i
\(415\) −2.75620e10 2.19800e10i −0.929220 0.741028i
\(416\) −3.48181e9 7.23005e9i −0.116260 0.241417i
\(417\) −3.31643e9 7.56952e8i −0.109680 0.0250337i
\(418\) −6.89877e8 + 3.32227e8i −0.0225978 + 0.0108825i
\(419\) 1.39795e10 1.11483e10i 0.453562 0.361704i −0.369903 0.929070i \(-0.620609\pi\)
0.823465 + 0.567367i \(0.192038\pi\)
\(420\) −3.97269e10 + 9.06740e9i −1.27670 + 0.291397i
\(421\) 8.79759e9 7.01584e9i 0.280050 0.223332i −0.473384 0.880856i \(-0.656968\pi\)
0.753434 + 0.657524i \(0.228396\pi\)
\(422\) 3.43629e8 1.50554e9i 0.0108353 0.0474725i
\(423\) 2.10373e9 0.0657095
\(424\) 5.34415e9i 0.165354i
\(425\) 1.16828e10 5.11856e10i 0.358089 1.56889i
\(426\) −7.58978e8 6.05264e8i −0.0230457 0.0183784i
\(427\) 4.11466e10 + 1.98152e10i 1.23772 + 0.596055i
\(428\) 1.24960e10 6.01775e9i 0.372388 0.179333i
\(429\) 1.47361e10i 0.435065i
\(430\) −9.85833e8 + 3.48950e9i −0.0288356 + 0.102068i
\(431\) −2.26587e10 −0.656637 −0.328319 0.944567i \(-0.606482\pi\)
−0.328319 + 0.944567i \(0.606482\pi\)
\(432\) −1.14158e10 2.37052e10i −0.327772 0.680625i
\(433\) −1.88967e10 + 3.92393e10i −0.537568 + 1.11627i 0.438485 + 0.898739i \(0.355515\pi\)
−0.976053 + 0.217533i \(0.930199\pi\)
\(434\) −2.88145e7 + 3.61322e7i −0.000812180 + 0.00101844i
\(435\) −4.07531e10 9.30162e9i −1.13816 0.259778i
\(436\) 2.08499e10 0.576976
\(437\) 1.19126e10i 0.326649i
\(438\) 3.45257e8 + 7.88027e7i 0.00938094 + 0.00214114i
\(439\) −1.85863e9 2.33065e9i −0.0500421 0.0627508i 0.756181 0.654363i \(-0.227063\pi\)
−0.806223 + 0.591612i \(0.798492\pi\)
\(440\) −1.17238e9 5.13652e9i −0.0312793 0.137044i
\(441\) −3.64764e10 4.57399e10i −0.964400 1.20932i
\(442\) −9.80679e8 2.03640e9i −0.0256943 0.0533549i
\(443\) 3.02049e9 1.32336e10i 0.0784265 0.343609i −0.920457 0.390843i \(-0.872184\pi\)
0.998884 + 0.0472340i \(0.0150406\pi\)
\(444\) 2.38713e10 1.14958e10i 0.614249 0.295807i
\(445\) −4.16030e10 + 5.21685e10i −1.06092 + 1.33036i
\(446\) −3.59218e8 1.57384e9i −0.00907860 0.0397759i
\(447\) 2.74919e9 + 1.20450e10i 0.0688613 + 0.301701i
\(448\) −2.90506e10 + 6.03243e10i −0.721180 + 1.49755i
\(449\) 2.85463e10 + 2.27649e10i 0.702367 + 0.560119i 0.908235 0.418461i \(-0.137430\pi\)
−0.205868 + 0.978580i \(0.566002\pi\)
\(450\) 3.68972e9 2.94245e9i 0.0899793 0.0717561i
\(451\) −1.74452e10 8.40119e9i −0.421668 0.203065i
\(452\) −1.63745e9 + 3.40019e9i −0.0392296 + 0.0814611i
\(453\) 2.05696e10 + 2.57935e10i 0.488465 + 0.612515i
\(454\) −9.68261e8 + 1.21416e9i −0.0227913 + 0.0285794i
\(455\) 1.90353e11 + 9.16690e10i 4.44133 + 2.13883i
\(456\) 1.32937e9 3.03421e8i 0.0307459 0.00701756i
\(457\) −5.20859e10 + 1.18883e10i −1.19414 + 0.272555i −0.772979 0.634431i \(-0.781234\pi\)
−0.421161 + 0.906986i \(0.638377\pi\)
\(458\) 8.50015e8 + 6.77865e8i 0.0193181 + 0.0154057i
\(459\) −9.69911e9 2.01404e10i −0.218515 0.453751i
\(460\) 3.98907e10 + 9.10478e9i 0.890923 + 0.203347i
\(461\) −4.89048e10 + 2.35513e10i −1.08280 + 0.521448i −0.888210 0.459437i \(-0.848051\pi\)
−0.194588 + 0.980885i \(0.562337\pi\)
\(462\) −9.58323e8 + 7.64237e8i −0.0210351 + 0.0167749i
\(463\) 2.98816e10 6.82027e9i 0.650249 0.148415i 0.115341 0.993326i \(-0.463204\pi\)
0.534907 + 0.844911i \(0.320347\pi\)
\(464\) −5.40575e10 + 4.31094e10i −1.16623 + 0.930037i
\(465\) 1.08293e8 4.74464e8i 0.00231627 0.0101482i
\(466\) −6.89354e8 −0.0146184
\(467\) 4.72775e10i 0.994002i 0.867750 + 0.497001i \(0.165566\pi\)
−0.867750 + 0.497001i \(0.834434\pi\)
\(468\) −1.37706e10 + 6.03328e10i −0.287057 + 1.25768i
\(469\) −2.32964e10 1.85782e10i −0.481500 0.383984i
\(470\) −3.71261e8 1.78790e8i −0.00760831 0.00366397i
\(471\) 1.39004e10 6.69407e9i 0.282451 0.136021i
\(472\) 4.60815e9i 0.0928450i
\(473\) −5.73414e9 3.27251e10i −0.114558 0.653788i
\(474\) −9.12669e8 −0.0180801
\(475\) −3.55685e10 7.38586e10i −0.698700 1.45086i
\(476\) −2.48465e10 + 5.15944e10i −0.483992 + 1.00502i
\(477\) 3.85644e10 4.83582e10i 0.744925 0.934107i
\(478\) 3.92248e9 + 8.95280e8i 0.0751361 + 0.0171493i
\(479\) −6.44775e10 −1.22480 −0.612401 0.790547i \(-0.709796\pi\)
−0.612401 + 0.790547i \(0.709796\pi\)
\(480\) 7.02903e9i 0.132413i
\(481\) −1.33930e11 3.05685e10i −2.50205 0.571077i
\(482\) 1.06629e9 + 1.33708e9i 0.0197554 + 0.0247725i
\(483\) −4.24340e9 1.85915e10i −0.0779696 0.341607i
\(484\) −1.90783e10 2.39234e10i −0.347663 0.435955i
\(485\) 2.93891e9 + 6.10271e9i 0.0531152 + 0.110295i
\(486\) 6.92092e8 3.03225e9i 0.0124056 0.0543526i
\(487\) 6.64368e10 3.19943e10i 1.18112 0.568796i 0.262881 0.964828i \(-0.415327\pi\)
0.918237 + 0.396032i \(0.129613\pi\)
\(488\) 3.27272e9 4.10386e9i 0.0577071 0.0723625i
\(489\) 5.69851e8 + 2.49668e9i 0.00996611 + 0.0436644i
\(490\) 2.54996e9 + 1.11721e10i 0.0442333 + 0.193799i
\(491\) 2.25171e10 4.67573e10i 0.387424 0.804495i −0.612478 0.790488i \(-0.709827\pi\)
0.999902 0.0140069i \(-0.00445869\pi\)
\(492\) 1.34571e10 + 1.07317e10i 0.229663 + 0.183150i
\(493\) −4.59284e10 + 3.66267e10i −0.777488 + 0.620026i
\(494\) −3.17965e9 1.53124e9i −0.0533914 0.0257119i
\(495\) −2.64575e10 + 5.49395e10i −0.440684 + 0.915090i
\(496\) −5.01897e8 6.29359e8i −0.00829254 0.0103985i
\(497\) 7.95099e10 9.97023e10i 1.30315 1.63410i
\(498\) 8.49306e8 + 4.09004e8i 0.0138085 + 0.00664983i
\(499\) −6.10292e10 + 1.39295e10i −0.984318 + 0.224664i −0.684245 0.729252i \(-0.739868\pi\)
−0.300073 + 0.953916i \(0.597011\pi\)
\(500\) 1.61902e11 3.69530e10i 2.59043 0.591248i
\(501\) −1.98573e10 1.58356e10i −0.315187 0.251353i
\(502\) 1.55128e8 + 3.22126e8i 0.00244273 + 0.00507237i
\(503\) 9.19584e10 + 2.09889e10i 1.43655 + 0.327882i 0.868735 0.495277i \(-0.164934\pi\)
0.567810 + 0.823159i \(0.307791\pi\)
\(504\) −9.29070e9 + 4.47417e9i −0.143988 + 0.0693410i
\(505\) −6.99090e10 + 5.57505e10i −1.07490 + 0.857203i
\(506\) 1.19994e9 2.73877e8i 0.0183044 0.00417786i
\(507\) −3.15094e10 + 2.51279e10i −0.476879 + 0.380298i
\(508\) −9.56453e9 + 4.19050e10i −0.143618 + 0.629232i
\(509\) −1.02014e10 −0.151980 −0.0759901 0.997109i \(-0.524212\pi\)
−0.0759901 + 0.997109i \(0.524212\pi\)
\(510\) 1.97978e9i 0.0292642i
\(511\) −1.03518e10 + 4.53543e10i −0.151822 + 0.665174i
\(512\) 1.51666e10 + 1.20949e10i 0.220702 + 0.176004i
\(513\) −3.14474e10 1.51443e10i −0.454062 0.218665i
\(514\) −3.14800e9 + 1.51600e9i −0.0451006 + 0.0217193i
\(515\) 1.16044e11i 1.64965i
\(516\) −1.50377e9 + 2.94954e10i −0.0212120 + 0.416060i
\(517\) 3.77555e9 0.0528467
\(518\) −4.95784e9 1.02951e10i −0.0688610 0.142991i
\(519\) 1.17859e10 2.44737e10i 0.162440 0.337310i
\(520\) 1.51403e10 1.89853e10i 0.207071 0.259659i
\(521\) 1.10840e11 + 2.52985e10i 1.50434 + 0.343355i 0.893740 0.448585i \(-0.148072\pi\)
0.610598 + 0.791941i \(0.290929\pi\)
\(522\) −5.28047e9 −0.0711198
\(523\) 4.60497e10i 0.615488i 0.951469 + 0.307744i \(0.0995740\pi\)
−0.951469 + 0.307744i \(0.900426\pi\)
\(524\) 8.40543e10 + 1.91848e10i 1.11490 + 0.254468i
\(525\) −8.18196e10 1.02599e11i −1.07701 1.35053i
\(526\) −2.43322e8 1.06606e9i −0.00317862 0.0139264i
\(527\) −4.26422e8 5.34717e8i −0.00552838 0.00693236i
\(528\) −9.26351e9 1.92359e10i −0.119190 0.247501i
\(529\) 1.31649e10 5.76794e10i 0.168111 0.736543i
\(530\) −1.09156e10 + 5.25667e9i −0.138339 + 0.0666204i
\(531\) −3.32532e10 + 4.16983e10i −0.418269 + 0.524493i
\(532\) 1.98966e10 + 8.71728e10i 0.248389 + 1.08826i
\(533\) −1.98585e10 8.70056e10i −0.246057 1.07805i
\(534\) 7.74150e8 1.60754e9i 0.00952051 0.0197695i
\(535\) 4.92465e10 + 3.92727e10i 0.601118 + 0.479376i
\(536\) −2.67758e9 + 2.13530e9i −0.0324402 + 0.0258702i
\(537\) −1.18616e10 5.71225e9i −0.142642 0.0686926i
\(538\) −1.17286e9 + 2.43547e9i −0.0139997 + 0.0290706i
\(539\) −6.54640e10 8.20892e10i −0.775617 0.972593i
\(540\) 7.47474e10 9.37303e10i 0.879065 1.10231i
\(541\) 1.83167e9 + 8.82087e8i 0.0213825 + 0.0102973i 0.444544 0.895757i \(-0.353366\pi\)
−0.423162 + 0.906054i \(0.639080\pi\)
\(542\) −7.69792e9 + 1.75700e9i −0.0892024 + 0.0203599i
\(543\) 2.14278e9 4.89075e8i 0.0246478 0.00562570i
\(544\) 7.72305e9 + 6.15893e9i 0.0881847 + 0.0703250i
\(545\) 4.10845e10 + 8.53128e10i 0.465685 + 0.967004i
\(546\) −5.50780e9 1.25712e9i −0.0619737 0.0141451i
\(547\) 1.16737e11 5.62177e10i 1.30395 0.627948i 0.352515 0.935806i \(-0.385326\pi\)
0.951432 + 0.307858i \(0.0996121\pi\)
\(548\) 9.62344e10 7.67443e10i 1.06711 0.850989i
\(549\) −5.92284e10 + 1.35185e10i −0.651990 + 0.148812i
\(550\) 6.62191e9 5.28080e9i 0.0723657 0.0577097i
\(551\) −2.04106e10 + 8.94245e10i −0.221436 + 0.970175i
\(552\) −2.19178e9 −0.0236070
\(553\) 1.19892e11i 1.28200i
\(554\) −2.04140e7 + 8.94394e7i −0.000216715 + 0.000949489i
\(555\) 9.40764e10 + 7.50235e10i 0.991537 + 0.790724i
\(556\) −2.30992e10 1.11240e10i −0.241711 0.116402i
\(557\) 5.94935e10 2.86505e10i 0.618085 0.297654i −0.0985178 0.995135i \(-0.531410\pi\)
0.716603 + 0.697481i \(0.245696\pi\)
\(558\) 6.14773e7i 0.000634130i
\(559\) 1.01446e11 1.14704e11i 1.03893 1.17471i
\(560\) −3.06103e11 −3.11255
\(561\) −7.87048e9 1.63432e10i −0.0794602 0.165001i
\(562\) −4.31974e8 + 8.97004e8i −0.00433025 + 0.00899185i
\(563\) 7.22003e10 9.05363e10i 0.718630 0.901134i −0.279629 0.960108i \(-0.590212\pi\)
0.998260 + 0.0589742i \(0.0187830\pi\)
\(564\) −3.27207e9 7.46829e8i −0.0323375 0.00738082i
\(565\) −1.71394e10 −0.168190
\(566\) 9.44723e9i 0.0920532i
\(567\) 8.65128e10 + 1.97460e10i 0.837044 + 0.191050i
\(568\) −9.13852e9 1.14593e10i −0.0877976 0.110095i
\(569\) −1.88834e10 8.27336e10i −0.180149 0.789283i −0.981558 0.191166i \(-0.938773\pi\)
0.801409 0.598117i \(-0.204084\pi\)
\(570\) 1.92736e9 + 2.41683e9i 0.0182584 + 0.0228953i
\(571\) 7.63943e10 + 1.58634e11i 0.718649 + 1.49229i 0.864312 + 0.502956i \(0.167754\pi\)
−0.145663 + 0.989334i \(0.546532\pi\)
\(572\) −2.47140e10 + 1.08279e11i −0.230865 + 1.01149i
\(573\) −7.53515e10 + 3.62874e10i −0.698994 + 0.336618i
\(574\) 4.62827e9 5.80367e9i 0.0426355 0.0534632i
\(575\) 2.93215e10 + 1.28466e11i 0.268234 + 1.17521i
\(576\) −1.98192e10 8.68336e10i −0.180051 0.788856i
\(577\) 1.90721e10 3.96036e10i 0.172066 0.357299i −0.797046 0.603918i \(-0.793605\pi\)
0.969112 + 0.246619i \(0.0793197\pi\)
\(578\) −2.81647e9 2.24606e9i −0.0252344 0.0201238i
\(579\) 6.96815e10 5.55691e10i 0.620017 0.494447i
\(580\) −2.83848e11 1.36694e11i −2.50827 1.20792i
\(581\) −5.37284e10 + 1.11568e11i −0.471519 + 0.979120i
\(582\) −1.12927e8 1.41606e8i −0.000984253 0.00123421i
\(583\) 6.92113e10 8.67882e10i 0.599105 0.751253i
\(584\) 4.81738e9 + 2.31993e9i 0.0414152 + 0.0199445i
\(585\) −2.74003e11 + 6.25393e10i −2.33954 + 0.533986i
\(586\) −1.05530e10 + 2.40864e9i −0.0894919 + 0.0204260i
\(587\) 7.29933e10 + 5.82102e10i 0.614795 + 0.490283i 0.880674 0.473724i \(-0.157090\pi\)
−0.265878 + 0.964007i \(0.585662\pi\)
\(588\) 4.04964e10 + 8.40917e10i 0.338772 + 0.703467i
\(589\) −1.04112e9 2.37628e8i −0.00865044 0.00197441i
\(590\) 9.41228e9 4.53272e9i 0.0776760 0.0374068i
\(591\) −2.12568e10 + 1.69517e10i −0.174240 + 0.138952i
\(592\) 1.94042e11 4.42888e10i 1.57982 0.360584i
\(593\) −5.72965e10 + 4.56924e10i −0.463350 + 0.369509i −0.827162 0.561963i \(-0.810046\pi\)
0.363813 + 0.931472i \(0.381475\pi\)
\(594\) 8.02461e8 3.51581e9i 0.00644582 0.0282410i
\(595\) −2.60072e11 −2.07504
\(596\) 9.31157e10i 0.737968i
\(597\) 4.19666e9 1.83868e10i 0.0330374 0.144747i
\(598\) 4.43512e9 + 3.53689e9i 0.0346817 + 0.0276578i
\(599\) −1.41951e11 6.83600e10i −1.10263 0.531000i −0.208148 0.978097i \(-0.566744\pi\)
−0.894486 + 0.447097i \(0.852458\pi\)
\(600\) −1.35892e10 + 6.54420e9i −0.104855 + 0.0504953i
\(601\) 1.96837e11i 1.50872i 0.656462 + 0.754359i \(0.272052\pi\)
−0.656462 + 0.754359i \(0.727948\pi\)
\(602\) 1.27206e10 + 6.48534e8i 0.0968547 + 0.00493795i
\(603\) 3.96377e10 0.299805
\(604\) 1.07884e11 + 2.24024e11i 0.810608 + 1.68324i
\(605\) 6.02954e10 1.25205e11i 0.450052 0.934543i
\(606\) 1.49075e9 1.86935e9i 0.0110539 0.0138611i
\(607\) −7.81596e9 1.78394e9i −0.0575742 0.0131409i 0.193637 0.981073i \(-0.437972\pi\)
−0.251211 + 0.967932i \(0.580829\pi\)
\(608\) 1.54238e10 0.112870
\(609\) 1.46832e11i 1.06746i
\(610\) 1.16014e10 + 2.64795e9i 0.0837898 + 0.0191245i
\(611\) 1.08497e10 + 1.36051e10i 0.0778488 + 0.0976193i
\(612\) −1.69510e10 7.42674e10i −0.120834 0.529410i
\(613\) −5.29964e8 6.64554e8i −0.00375322 0.00470640i 0.779951 0.625840i \(-0.215244\pi\)
−0.783705 + 0.621134i \(0.786672\pi\)
\(614\) −1.43835e9 2.98677e9i −0.0101203 0.0210150i
\(615\) −1.73944e10 + 7.62098e10i −0.121593 + 0.532734i
\(616\) −1.66740e10 + 8.02977e9i −0.115802 + 0.0557674i
\(617\) −4.17829e10 + 5.23941e10i −0.288309 + 0.361528i −0.904802 0.425832i \(-0.859981\pi\)
0.616493 + 0.787360i \(0.288553\pi\)
\(618\) 6.90476e8 + 3.02517e9i 0.00473363 + 0.0207394i
\(619\) −3.62718e10 1.58917e11i −0.247062 1.08245i −0.934431 0.356143i \(-0.884092\pi\)
0.687369 0.726308i \(-0.258766\pi\)
\(620\) 1.59145e9 3.30468e9i 0.0107702 0.0223646i
\(621\) 4.38643e10 + 3.49806e10i 0.294947 + 0.235213i
\(622\) 6.54642e9 5.22060e9i 0.0437363 0.0348786i
\(623\) 2.11173e11 + 1.01695e11i 1.40180 + 0.675070i
\(624\) 4.26956e10 8.86582e10i 0.281608 0.584764i
\(625\) 2.38308e11 + 2.98829e11i 1.56177 + 1.95840i
\(626\) −6.85849e9 + 8.60028e9i −0.0446613 + 0.0560035i
\(627\) −2.55184e10 1.22890e10i −0.165114 0.0795146i
\(628\) 1.13365e11 2.58748e10i 0.728852 0.166356i
\(629\) 1.64862e11 3.76287e10i 1.05322 0.240390i
\(630\) −1.82772e10 1.45756e10i −0.116024 0.0925262i
\(631\) −1.13090e11 2.34833e11i −0.713355 1.48130i −0.869693 0.493593i \(-0.835683\pi\)
0.156338 0.987704i \(-0.450031\pi\)
\(632\) −1.34343e10 3.06630e9i −0.0842070 0.0192197i
\(633\) 5.14648e10 2.47842e10i 0.320550 0.154369i
\(634\) 3.22732e9 2.57370e9i 0.0199749 0.0159295i
\(635\) −1.90312e11 + 4.34375e10i −1.17050 + 0.267159i
\(636\) −7.71491e10 + 6.15244e10i −0.471522 + 0.376027i
\(637\) 1.07684e11 4.71794e11i 0.654024 2.86546i
\(638\) −9.47683e9 −0.0571979
\(639\) 1.69639e11i 1.01747i
\(640\) −1.57092e10 + 6.88265e10i −0.0936341 + 0.410238i
\(641\) 9.23640e8 + 7.36578e8i 0.00547105 + 0.00436302i 0.626222 0.779645i \(-0.284601\pi\)
−0.620750 + 0.784008i \(0.713172\pi\)
\(642\) −1.51750e9 7.30789e8i −0.00893281 0.00430182i
\(643\) −3.03948e11 + 1.46374e11i −1.77810 + 0.856287i −0.818707 + 0.574212i \(0.805309\pi\)
−0.959392 + 0.282075i \(0.908977\pi\)
\(644\) 1.43725e11i 0.835580i
\(645\) −1.23651e11 + 5.19674e10i −0.714431 + 0.300256i
\(646\) 4.34424e9 0.0249450
\(647\) −6.75299e10 1.40227e11i −0.385371 0.800231i −0.999935 0.0113644i \(-0.996383\pi\)
0.614565 0.788867i \(-0.289332\pi\)
\(648\) 4.42523e9 9.18909e9i 0.0250978 0.0521162i
\(649\) −5.96794e10 + 7.48357e10i −0.336392 + 0.421823i
\(650\) 3.80584e10 + 8.68657e9i 0.213205 + 0.0486626i
\(651\) −1.70948e9 −0.00951786
\(652\) 1.93010e10i 0.106804i
\(653\) −2.82161e11 6.44013e10i −1.55183 0.354195i −0.641184 0.767387i \(-0.721557\pi\)
−0.910644 + 0.413192i \(0.864414\pi\)
\(654\) −1.57867e9 1.97959e9i −0.00862938 0.0108209i
\(655\) 8.71283e10 + 3.81734e11i 0.473363 + 2.07394i
\(656\) 8.06163e10 + 1.01090e11i 0.435319 + 0.545872i
\(657\) −2.68505e10 5.57557e10i −0.144109 0.299246i
\(658\) −3.22087e8 + 1.41116e9i −0.00171818 + 0.00752786i
\(659\) −8.43934e9 + 4.06417e9i −0.0447473 + 0.0215492i −0.456124 0.889916i \(-0.650763\pi\)
0.411376 + 0.911466i \(0.365048\pi\)
\(660\) 6.06548e10 7.60587e10i 0.319661 0.400842i
\(661\) −1.17207e10 5.13517e10i −0.0613970 0.268998i 0.934907 0.354892i \(-0.115482\pi\)
−0.996304 + 0.0858943i \(0.972625\pi\)
\(662\) −1.18867e9 5.20792e9i −0.00618915 0.0271164i
\(663\) 3.62751e10 7.53260e10i 0.187739 0.389844i
\(664\) 1.11275e10 + 8.87391e9i 0.0572435 + 0.0456502i
\(665\) −3.17484e11 + 2.53185e11i −1.62344 + 1.29465i
\(666\) 1.36950e10 + 6.59516e9i 0.0696089 + 0.0335219i
\(667\) 6.39706e10 1.32836e11i 0.323204 0.671141i
\(668\) −1.19350e11 1.49661e11i −0.599402 0.751626i
\(669\) 3.72304e10 4.66855e10i 0.185863 0.233065i
\(670\) −6.99517e9 3.36870e9i −0.0347135 0.0167172i
\(671\) −1.06297e11 + 2.42616e10i −0.524362 + 0.119682i
\(672\) 2.40714e10 5.49413e9i 0.118038 0.0269415i
\(673\) 3.12464e10 + 2.49182e10i 0.152314 + 0.121466i 0.696682 0.717380i \(-0.254659\pi\)
−0.544368 + 0.838847i \(0.683230\pi\)
\(674\) −5.12948e9 1.06515e10i −0.0248561 0.0516143i
\(675\) 3.76405e11 + 8.59120e10i 1.81318 + 0.413846i
\(676\) −2.73669e11 + 1.31792e11i −1.31050 + 0.631105i
\(677\) −1.15380e11 + 9.20126e10i −0.549258 + 0.438019i −0.858388 0.513001i \(-0.828534\pi\)
0.309130 + 0.951020i \(0.399962\pi\)
\(678\) 4.46811e8 1.01982e8i 0.00211449 0.000482618i
\(679\) 1.86020e10 1.48346e10i 0.0875144 0.0697904i
\(680\) −6.65149e9 + 2.91421e10i −0.0311088 + 0.136297i
\(681\) −5.74440e10 −0.267089
\(682\) 1.10333e8i 0.000509997i
\(683\) 7.24185e10 3.17286e11i 0.332787 1.45804i −0.480922 0.876763i \(-0.659698\pi\)
0.813709 0.581272i \(-0.197445\pi\)
\(684\) −9.29939e10 7.41602e10i −0.424845 0.338802i
\(685\) 5.03649e11 + 2.42544e11i 2.28752 + 1.10161i
\(686\) 1.69160e10 8.14634e9i 0.0763840 0.0367846i
\(687\) 4.02156e10i 0.180538i
\(688\) −6.03170e10 + 2.13501e11i −0.269207 + 0.952896i
\(689\) 5.11628e11 2.27027
\(690\) −2.15591e9 4.47678e9i −0.00951116 0.0197501i
\(691\) 6.47778e10 1.34513e11i 0.284128 0.589998i −0.709241 0.704966i \(-0.750962\pi\)
0.993369 + 0.114968i \(0.0366765\pi\)
\(692\) 1.27646e11 1.60063e11i 0.556651 0.698018i
\(693\) 2.08824e11 + 4.76627e10i 0.905414 + 0.206655i
\(694\) −8.23997e9 −0.0355212
\(695\) 1.16436e11i 0.499055i
\(696\) 1.64531e10 + 3.75532e9i 0.0701150 + 0.0160033i
\(697\) 6.84933e10 + 8.58879e10i 0.290213 + 0.363916i
\(698\) 2.57409e8 + 1.12778e9i 0.00108443 + 0.00475121i
\(699\) −1.58984e10 1.99360e10i −0.0665954 0.0835080i
\(700\) −4.29131e11 8.91100e11i −1.78730 3.71137i
\(701\) 3.62361e10 1.58761e11i 0.150062 0.657462i −0.842804 0.538221i \(-0.819097\pi\)
0.992865 0.119242i \(-0.0380463\pi\)
\(702\) 1.49751e10 7.21164e9i 0.0616626 0.0296951i
\(703\) 1.64624e11 2.06432e11i 0.674019 0.845193i
\(704\) −3.55694e10 1.55840e11i −0.144806 0.634436i
\(705\) −3.39174e9 1.48602e10i −0.0137298 0.0601544i
\(706\) −9.05207e9 + 1.87968e10i −0.0364358 + 0.0756598i
\(707\) 2.45565e11 + 1.95831e11i 0.982852 + 0.783798i
\(708\) 6.65241e10 5.30512e10i 0.264756 0.211136i
\(709\) 2.19938e11 + 1.05917e11i 0.870394 + 0.419159i 0.815107 0.579311i \(-0.196678\pi\)
0.0552870 + 0.998471i \(0.482393\pi\)
\(710\) 1.44171e10 2.99375e10i 0.0567343 0.117810i
\(711\) 9.94379e10 + 1.24691e11i 0.389111 + 0.487930i
\(712\) 1.67962e10 2.10618e10i 0.0653570 0.0819551i
\(713\) 1.54653e9 + 7.44772e8i 0.00598414 + 0.00288181i
\(714\) 6.77989e9 1.54747e9i 0.0260873 0.00595426i
\(715\) −4.91751e11 + 1.12239e11i −1.88157 + 0.429457i
\(716\) −7.75774e10 6.18659e10i −0.295178 0.235396i
\(717\) 6.45718e10 + 1.34085e11i 0.244324 + 0.507344i
\(718\) −1.31314e10 2.99715e9i −0.0494097 0.0112774i
\(719\) 1.63047e11 7.85193e10i 0.610095 0.293806i −0.103211 0.994660i \(-0.532912\pi\)
0.713305 + 0.700853i \(0.247197\pi\)
\(720\) 3.18357e11 2.53881e11i 1.18463 0.944714i
\(721\) −3.97398e11 + 9.07036e10i −1.47057 + 0.335648i
\(722\) −6.84988e9 + 5.46259e9i −0.0252077 + 0.0201025i
\(723\) −1.40766e10 + 6.16735e10i −0.0515162 + 0.225707i
\(724\) 1.65651e10 0.0602892
\(725\) 1.01459e12i 3.67232i
\(726\) −8.26873e8 + 3.62277e9i −0.00297641 + 0.0130405i
\(727\) −3.82655e11 3.05157e11i −1.36984 1.09241i −0.985584 0.169185i \(-0.945886\pi\)
−0.384256 0.923226i \(-0.625542\pi\)
\(728\) −7.68505e10 3.70092e10i −0.273603 0.131760i
\(729\) −2.52122e10 + 1.21416e10i −0.0892691 + 0.0429897i
\(730\) 1.21216e10i 0.0426843i
\(731\) −5.12466e10 + 1.81395e11i −0.179472 + 0.635266i
\(732\) 9.69212e10 0.337578
\(733\) 2.36811e11 + 4.91744e11i 0.820327 + 1.70343i 0.703983 + 0.710217i \(0.251403\pi\)
0.116344 + 0.993209i \(0.462883\pi\)
\(734\) −1.06308e10 + 2.20752e10i −0.0366255 + 0.0760536i
\(735\) −2.64286e11 + 3.31404e11i −0.905575 + 1.13555i
\(736\) −2.41706e10 5.51678e9i −0.0823713 0.0188007i
\(737\) 7.11375e10 0.241118
\(738\) 9.87468e9i 0.0332887i
\(739\) 2.16449e11 + 4.94032e10i 0.725736 + 0.165644i 0.569401 0.822060i \(-0.307175\pi\)
0.156335 + 0.987704i \(0.450032\pi\)
\(740\) 5.65439e11 + 7.09038e11i 1.88564 + 2.36452i
\(741\) −2.90484e10 1.27269e11i −0.0963494 0.422134i
\(742\) 2.65338e10 + 3.32723e10i 0.0875354 + 0.109766i
\(743\) 1.34078e11 + 2.78416e11i 0.439949 + 0.913563i 0.996567 + 0.0827941i \(0.0263844\pi\)
−0.556618 + 0.830768i \(0.687901\pi\)
\(744\) −4.37209e7 + 1.91554e8i −0.000142691 + 0.000625171i
\(745\) −3.81008e11 + 1.83484e11i −1.23683 + 0.595624i
\(746\) −5.05839e9 + 6.34302e9i −0.0163327 + 0.0204805i
\(747\) −3.66551e10 1.60597e11i −0.117721 0.515767i
\(748\) −3.04220e10 1.33287e11i −0.0971809 0.425777i
\(749\) 9.59993e10 1.99345e11i 0.305029 0.633399i
\(750\) −1.57670e10 1.25738e10i −0.0498316 0.0397393i
\(751\) −1.67933e11 + 1.33922e11i −0.527929 + 0.421010i −0.850844 0.525418i \(-0.823909\pi\)
0.322915 + 0.946428i \(0.395337\pi\)
\(752\) −2.27152e10 1.09390e10i −0.0710305 0.0342065i
\(753\) −5.73814e9 + 1.19154e10i −0.0178481 + 0.0370619i
\(754\) −2.72333e10 3.41494e10i −0.0842586