Properties

Label 43.9.f.a.2.10
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 2.10
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.51717 - 11.4565i) q^{2} +(38.3400 - 79.6139i) q^{3} +(58.8006 - 73.7336i) q^{4} +(121.203 + 27.6637i) q^{5} -1123.63 q^{6} -1965.00i q^{7} +(-4342.77 - 991.209i) q^{8} +(-777.697 - 975.201i) q^{9} +O(q^{10})\) \(q+(-5.51717 - 11.4565i) q^{2} +(38.3400 - 79.6139i) q^{3} +(58.8006 - 73.7336i) q^{4} +(121.203 + 27.6637i) q^{5} -1123.63 q^{6} -1965.00i q^{7} +(-4342.77 - 991.209i) q^{8} +(-777.697 - 975.201i) q^{9} +(-351.766 - 1541.19i) q^{10} +(-1856.69 - 2328.22i) q^{11} +(-3615.80 - 7508.29i) q^{12} +(11489.4 - 50338.3i) q^{13} +(-22512.1 + 10841.3i) q^{14} +(6849.33 - 8588.79i) q^{15} +(7231.66 + 31684.0i) q^{16} +(23510.8 + 103008. i) q^{17} +(-6881.73 + 14290.1i) q^{18} +(-61353.1 - 48927.5i) q^{19} +(9166.54 - 7310.07i) q^{20} +(-156442. - 75338.3i) q^{21} +(-16429.6 + 34116.4i) q^{22} +(132109. + 165659. i) q^{23} +(-245416. + 307742. i) q^{24} +(-338016. - 162780. i) q^{25} +(-640091. + 146096. i) q^{26} +(457769. - 104483. i) q^{27} +(-144887. - 115543. i) q^{28} +(129603. + 269124. i) q^{29} +(-136187. - 31083.7i) q^{30} +(-1.48369e6 + 714508. i) q^{31} +(-568463. + 453334. i) q^{32} +(-256544. + 58554.6i) q^{33} +(1.05040e6 - 837664. i) q^{34} +(54359.3 - 238164. i) q^{35} -117634. q^{36} +2.13935e6i q^{37} +(-222043. + 972835. i) q^{38} +(-3.56712e6 - 2.84468e6i) q^{39} +(-498935. - 240274. i) q^{40} +(2.75444e6 - 1.32647e6i) q^{41} +2.20793e6i q^{42} +(3.35220e6 - 671508. i) q^{43} -280843. q^{44} +(-67281.3 - 139711. i) q^{45} +(1.16901e6 - 2.42748e6i) q^{46} +(1.93363e6 - 2.42469e6i) q^{47} +(2.79975e6 + 639024. i) q^{48} +1.90356e6 q^{49} +4.77058e6i q^{50} +(9.10225e6 + 2.07753e6i) q^{51} +(-3.03604e6 - 3.80707e6i) q^{52} +(-2.57660e6 - 1.12888e7i) q^{53} +(-3.72260e6 - 4.66799e6i) q^{54} +(-160629. - 333550. i) q^{55} +(-1.94773e6 + 8.53355e6i) q^{56} +(-6.24759e6 + 3.00868e6i) q^{57} +(2.36818e6 - 2.96961e6i) q^{58} +(-258568. - 1.13286e6i) q^{59} +(-230538. - 1.01005e6i) q^{60} +(5.69038e6 - 1.18162e7i) q^{61} +(1.63716e7 + 1.30559e7i) q^{62} +(-1.91627e6 + 1.52818e6i) q^{63} +(1.58257e7 + 7.62127e6i) q^{64} +(2.78509e6 - 5.78330e6i) q^{65} +(2.08623e6 + 2.61605e6i) q^{66} +(-1.17456e7 + 1.47285e7i) q^{67} +(8.97758e6 + 4.32337e6i) q^{68} +(1.82538e7 - 4.16632e6i) q^{69} +(-3.02844e6 + 691221. i) q^{70} +(-2.35318e7 - 1.87660e7i) q^{71} +(2.41073e6 + 5.00593e6i) q^{72} +(4.33586e6 + 989633. i) q^{73} +(2.45096e7 - 1.18032e7i) q^{74} +(-2.59191e7 + 2.06698e7i) q^{75} +(-7.21520e6 + 1.64682e6i) q^{76} +(-4.57496e6 + 3.64841e6i) q^{77} +(-1.29098e7 + 5.65614e7i) q^{78} -94159.6 q^{79} +4.04024e6i q^{80} +(1.10536e7 - 4.84292e7i) q^{81} +(-3.03935e7 - 2.42380e7i) q^{82} +(-3.19574e7 - 1.53899e7i) q^{83} +(-1.47538e7 + 7.10506e6i) q^{84} +1.31352e7i q^{85} +(-2.61878e7 - 3.46998e7i) q^{86} +2.63950e7 q^{87} +(5.75544e6 + 1.19513e7i) q^{88} +(4.11816e7 - 8.55146e7i) q^{89} +(-1.22940e6 + 1.54162e6i) q^{90} +(-9.89149e7 - 2.25767e7i) q^{91} +1.99827e7 q^{92} +1.45517e8i q^{93} +(-3.84467e7 - 8.77521e6i) q^{94} +(-6.08265e6 - 7.62740e6i) q^{95} +(1.42968e7 + 6.26384e7i) q^{96} +(-7.77475e7 - 9.74923e7i) q^{97} +(-1.05023e7 - 2.18082e7i) q^{98} +(-826538. + 3.62130e6i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.51717 11.4565i −0.344823 0.716033i 0.654371 0.756174i \(-0.272934\pi\)
−0.999194 + 0.0401410i \(0.987219\pi\)
\(3\) 38.3400 79.6139i 0.473334 0.982888i −0.518468 0.855097i \(-0.673497\pi\)
0.991801 0.127790i \(-0.0407884\pi\)
\(4\) 58.8006 73.7336i 0.229690 0.288022i
\(5\) 121.203 + 27.6637i 0.193924 + 0.0442620i 0.318380 0.947963i \(-0.396861\pi\)
−0.124455 + 0.992225i \(0.539718\pi\)
\(6\) −1123.63 −0.866996
\(7\) 1965.00i 0.818410i −0.912442 0.409205i \(-0.865806\pi\)
0.912442 0.409205i \(-0.134194\pi\)
\(8\) −4342.77 991.209i −1.06025 0.241994i
\(9\) −777.697 975.201i −0.118533 0.148636i
\(10\) −351.766 1541.19i −0.0351766 0.154119i
\(11\) −1856.69 2328.22i −0.126815 0.159021i 0.714371 0.699768i \(-0.246713\pi\)
−0.841185 + 0.540747i \(0.818142\pi\)
\(12\) −3615.80 7508.29i −0.174373 0.362090i
\(13\) 11489.4 50338.3i 0.402275 1.76248i −0.215873 0.976421i \(-0.569260\pi\)
0.618149 0.786061i \(-0.287883\pi\)
\(14\) −22512.1 + 10841.3i −0.586009 + 0.282207i
\(15\) 6849.33 8588.79i 0.135295 0.169655i
\(16\) 7231.66 + 31684.0i 0.110346 + 0.483459i
\(17\) 23510.8 + 103008.i 0.281496 + 1.23331i 0.895876 + 0.444304i \(0.146549\pi\)
−0.614380 + 0.789010i \(0.710594\pi\)
\(18\) −6881.73 + 14290.1i −0.0655553 + 0.136127i
\(19\) −61353.1 48927.5i −0.470785 0.375438i 0.359167 0.933273i \(-0.383061\pi\)
−0.829952 + 0.557835i \(0.811632\pi\)
\(20\) 9166.54 7310.07i 0.0572909 0.0456879i
\(21\) −156442. 75338.3i −0.804405 0.387381i
\(22\) −16429.6 + 34116.4i −0.0701353 + 0.145637i
\(23\) 132109. + 165659.i 0.472086 + 0.591977i 0.959680 0.281093i \(-0.0906971\pi\)
−0.487595 + 0.873070i \(0.662126\pi\)
\(24\) −245416. + 307742.i −0.739704 + 0.927559i
\(25\) −338016. 162780.i −0.865321 0.416717i
\(26\) −640091. + 146096.i −1.40071 + 0.319703i
\(27\) 457769. 104483.i 0.861373 0.196603i
\(28\) −144887. 115543.i −0.235720 0.187980i
\(29\) 129603. + 269124.i 0.183242 + 0.380505i 0.972273 0.233847i \(-0.0751316\pi\)
−0.789032 + 0.614353i \(0.789417\pi\)
\(30\) −136187. 31083.7i −0.168132 0.0383750i
\(31\) −1.48369e6 + 714508.i −1.60656 + 0.773678i −0.999775 0.0211896i \(-0.993255\pi\)
−0.606783 + 0.794867i \(0.707540\pi\)
\(32\) −568463. + 453334.i −0.542129 + 0.432333i
\(33\) −256544. + 58554.6i −0.216325 + 0.0493748i
\(34\) 1.05040e6 837664.i 0.786028 0.626836i
\(35\) 54359.3 238164.i 0.0362245 0.158710i
\(36\) −117634. −0.0700363
\(37\) 2.13935e6i 1.14150i 0.821124 + 0.570750i \(0.193347\pi\)
−0.821124 + 0.570750i \(0.806653\pi\)
\(38\) −222043. + 972835.i −0.106489 + 0.466557i
\(39\) −3.56712e6 2.84468e6i −1.54191 1.22963i
\(40\) −498935. 240274.i −0.194896 0.0938572i
\(41\) 2.75444e6 1.32647e6i 0.974762 0.469421i 0.122462 0.992473i \(-0.460921\pi\)
0.852300 + 0.523053i \(0.175207\pi\)
\(42\) 2.20793e6i 0.709559i
\(43\) 3.35220e6 671508.i 0.980521 0.196416i
\(44\) −280843. −0.0749294
\(45\) −67281.3 139711.i −0.0164076 0.0340707i
\(46\) 1.16901e6 2.42748e6i 0.261089 0.542156i
\(47\) 1.93363e6 2.42469e6i 0.396261 0.496896i −0.543175 0.839619i \(-0.682778\pi\)
0.939436 + 0.342724i \(0.111350\pi\)
\(48\) 2.79975e6 + 639024.i 0.527417 + 0.120379i
\(49\) 1.90356e6 0.330205
\(50\) 4.77058e6i 0.763292i
\(51\) 9.10225e6 + 2.07753e6i 1.34545 + 0.307091i
\(52\) −3.03604e6 3.80707e6i −0.415235 0.520688i
\(53\) −2.57660e6 1.12888e7i −0.326545 1.43069i −0.825668 0.564157i \(-0.809201\pi\)
0.499123 0.866531i \(-0.333656\pi\)
\(54\) −3.72260e6 4.66799e6i −0.437795 0.548978i
\(55\) −160629. 333550.i −0.0175539 0.0364510i
\(56\) −1.94773e6 + 8.53355e6i −0.198051 + 0.867717i
\(57\) −6.24759e6 + 3.00868e6i −0.591852 + 0.285021i
\(58\) 2.36818e6 2.96961e6i 0.209268 0.262414i
\(59\) −258568. 1.13286e6i −0.0213386 0.0934905i 0.963137 0.269010i \(-0.0866966\pi\)
−0.984476 + 0.175520i \(0.943839\pi\)
\(60\) −230538. 1.01005e6i −0.0177884 0.0779361i
\(61\) 5.69038e6 1.18162e7i 0.410981 0.853411i −0.588025 0.808843i \(-0.700094\pi\)
0.999006 0.0445685i \(-0.0141913\pi\)
\(62\) 1.63716e7 + 1.30559e7i 1.10796 + 0.883567i
\(63\) −1.91627e6 + 1.52818e6i −0.121645 + 0.0970089i
\(64\) 1.58257e7 + 7.62127e6i 0.943287 + 0.454263i
\(65\) 2.78509e6 5.78330e6i 0.156022 0.323983i
\(66\) 2.08623e6 + 2.61605e6i 0.109948 + 0.137870i
\(67\) −1.17456e7 + 1.47285e7i −0.582874 + 0.730901i −0.982600 0.185733i \(-0.940534\pi\)
0.399726 + 0.916635i \(0.369105\pi\)
\(68\) 8.97758e6 + 4.32337e6i 0.419879 + 0.202203i
\(69\) 1.82538e7 4.16632e6i 0.805300 0.183805i
\(70\) −3.02844e6 + 691221.i −0.126132 + 0.0287889i
\(71\) −2.35318e7 1.87660e7i −0.926025 0.738480i 0.0393833 0.999224i \(-0.487461\pi\)
−0.965408 + 0.260744i \(0.916032\pi\)
\(72\) 2.41073e6 + 5.00593e6i 0.0897054 + 0.186275i
\(73\) 4.33586e6 + 989633.i 0.152681 + 0.0348484i 0.298178 0.954510i \(-0.403621\pi\)
−0.145497 + 0.989359i \(0.546478\pi\)
\(74\) 2.45096e7 1.18032e7i 0.817351 0.393616i
\(75\) −2.59191e7 + 2.06698e7i −0.819171 + 0.653267i
\(76\) −7.21520e6 + 1.64682e6i −0.216269 + 0.0493619i
\(77\) −4.57496e6 + 3.64841e6i −0.130144 + 0.103786i
\(78\) −1.29098e7 + 5.65614e7i −0.348771 + 1.52807i
\(79\) −94159.6 −0.00241744 −0.00120872 0.999999i \(-0.500385\pi\)
−0.00120872 + 0.999999i \(0.500385\pi\)
\(80\) 4.04024e6i 0.0986386i
\(81\) 1.10536e7 4.84292e7i 0.256782 1.12504i
\(82\) −3.03935e7 2.42380e7i −0.672241 0.536095i
\(83\) −3.19574e7 1.53899e7i −0.673378 0.324282i 0.0657605 0.997835i \(-0.479053\pi\)
−0.739138 + 0.673554i \(0.764767\pi\)
\(84\) −1.47538e7 + 7.10506e6i −0.296338 + 0.142709i
\(85\) 1.31352e7i 0.251629i
\(86\) −2.61878e7 3.46998e7i −0.478747 0.634356i
\(87\) 2.63950e7 0.460728
\(88\) 5.75544e6 + 1.19513e7i 0.0959727 + 0.199289i
\(89\) 4.11816e7 8.55146e7i 0.656362 1.36295i −0.261171 0.965292i \(-0.584109\pi\)
0.917534 0.397658i \(-0.130177\pi\)
\(90\) −1.22940e6 + 1.54162e6i −0.0187380 + 0.0234967i
\(91\) −9.89149e7 2.25767e7i −1.44243 0.329226i
\(92\) 1.99827e7 0.278935
\(93\) 1.45517e8i 1.94527i
\(94\) −3.84467e7 8.77521e6i −0.492434 0.112395i
\(95\) −6.08265e6 7.62740e6i −0.0746790 0.0936445i
\(96\) 1.42968e7 + 6.26384e7i 0.168327 + 0.737490i
\(97\) −7.77475e7 9.74923e7i −0.878213 1.10124i −0.994152 0.107988i \(-0.965559\pi\)
0.115940 0.993256i \(-0.463012\pi\)
\(98\) −1.05023e7 2.18082e7i −0.113862 0.236437i
\(99\) −826538. + 3.62130e6i −0.00860443 + 0.0376985i
\(100\) −3.18779e7 + 1.53516e7i −0.318779 + 0.153516i
\(101\) 2.69860e6 3.38394e6i 0.0259330 0.0325190i −0.768696 0.639614i \(-0.779094\pi\)
0.794629 + 0.607095i \(0.207665\pi\)
\(102\) −2.64174e7 1.15742e8i −0.244056 1.06928i
\(103\) −6.33824e6 2.77696e7i −0.0563144 0.246730i 0.938934 0.344097i \(-0.111815\pi\)
−0.995248 + 0.0973675i \(0.968958\pi\)
\(104\) −9.97915e7 + 2.07219e8i −0.853022 + 1.77132i
\(105\) −1.68770e7 1.34590e7i −0.138848 0.110727i
\(106\) −1.15115e8 + 9.18012e7i −0.911819 + 0.727152i
\(107\) 1.57017e8 + 7.56154e7i 1.19788 + 0.576867i 0.923070 0.384633i \(-0.125672\pi\)
0.274806 + 0.961500i \(0.411386\pi\)
\(108\) 1.92132e7 3.98966e7i 0.141223 0.293252i
\(109\) 8.19780e7 + 1.02797e8i 0.580753 + 0.728241i 0.982241 0.187623i \(-0.0600784\pi\)
−0.401488 + 0.915864i \(0.631507\pi\)
\(110\) −2.93510e6 + 3.68050e6i −0.0200471 + 0.0251383i
\(111\) 1.70322e8 + 8.20229e7i 1.12197 + 0.540310i
\(112\) 6.22591e7 1.42102e7i 0.395668 0.0903086i
\(113\) 1.84391e8 4.20861e7i 1.13090 0.258122i 0.384182 0.923257i \(-0.374483\pi\)
0.746723 + 0.665136i \(0.231626\pi\)
\(114\) 6.89380e7 + 5.49762e7i 0.408168 + 0.325503i
\(115\) 1.14292e7 + 2.37330e7i 0.0653469 + 0.135694i
\(116\) 2.74642e7 + 6.26854e6i 0.151683 + 0.0346206i
\(117\) −5.80252e7 + 2.79435e7i −0.309652 + 0.149120i
\(118\) −1.15521e7 + 9.21246e6i −0.0595842 + 0.0475168i
\(119\) 2.02410e8 4.61989e7i 1.00936 0.230379i
\(120\) −3.82584e7 + 3.05100e7i −0.184502 + 0.147136i
\(121\) 4.57260e7 2.00339e8i 0.213315 0.934596i
\(122\) −1.66767e8 −0.752786
\(123\) 2.70149e8i 1.18027i
\(124\) −3.45587e7 + 1.51411e8i −0.146174 + 0.640430i
\(125\) −7.44330e7 5.93583e7i −0.304877 0.243132i
\(126\) 2.80800e7 + 1.35226e7i 0.111408 + 0.0536511i
\(127\) 1.35377e8 6.51940e7i 0.520390 0.250607i −0.155201 0.987883i \(-0.549603\pi\)
0.675592 + 0.737276i \(0.263888\pi\)
\(128\) 3.72202e7i 0.138656i
\(129\) 7.50623e7 2.92628e8i 0.271058 1.05671i
\(130\) −8.16223e7 −0.285782
\(131\) −7.09592e7 1.47348e8i −0.240948 0.500334i 0.745067 0.666990i \(-0.232417\pi\)
−0.986015 + 0.166656i \(0.946703\pi\)
\(132\) −1.07675e7 + 2.23590e7i −0.0354666 + 0.0736472i
\(133\) −9.61426e7 + 1.20559e8i −0.307262 + 0.385295i
\(134\) 2.33540e8 + 5.33039e7i 0.724338 + 0.165325i
\(135\) 5.83732e7 0.175743
\(136\) 4.70643e8i 1.37574i
\(137\) 3.54313e8 + 8.08697e7i 1.00579 + 0.229564i 0.693525 0.720433i \(-0.256057\pi\)
0.312260 + 0.949997i \(0.398914\pi\)
\(138\) −1.48441e8 1.86139e8i −0.409296 0.513242i
\(139\) −3.61899e6 1.58558e7i −0.00969457 0.0424747i 0.969849 0.243705i \(-0.0783630\pi\)
−0.979544 + 0.201231i \(0.935506\pi\)
\(140\) −1.43643e7 1.80123e7i −0.0373915 0.0468874i
\(141\) −1.18904e8 2.46906e8i −0.300829 0.624677i
\(142\) −8.51642e7 + 3.73129e8i −0.209461 + 0.917709i
\(143\) −1.38531e8 + 6.67129e7i −0.331285 + 0.159539i
\(144\) 2.52742e7 3.16929e7i 0.0587797 0.0737075i
\(145\) 8.26330e6 + 3.62039e7i 0.0186931 + 0.0818999i
\(146\) −1.25840e7 5.51339e7i −0.0276953 0.121341i
\(147\) 7.29827e7 1.51550e8i 0.156297 0.324554i
\(148\) 1.57742e8 + 1.25795e8i 0.328777 + 0.262191i
\(149\) 3.39341e8 2.70616e8i 0.688481 0.549045i −0.215560 0.976491i \(-0.569158\pi\)
0.904041 + 0.427445i \(0.140586\pi\)
\(150\) 3.79804e8 + 1.82904e8i 0.750230 + 0.361292i
\(151\) −3.71351e8 + 7.71117e8i −0.714293 + 1.48324i 0.154460 + 0.987999i \(0.450636\pi\)
−0.868753 + 0.495246i \(0.835078\pi\)
\(152\) 2.17945e8 + 2.73294e8i 0.408294 + 0.511984i
\(153\) 8.21689e7 1.03037e8i 0.149948 0.188029i
\(154\) 6.70389e7 + 3.22842e7i 0.119191 + 0.0573994i
\(155\) −1.99593e8 + 4.55559e7i −0.345795 + 0.0789255i
\(156\) −4.19498e8 + 9.57476e7i −0.708323 + 0.161670i
\(157\) 6.87574e8 + 5.48322e8i 1.13167 + 0.902479i 0.996095 0.0882878i \(-0.0281395\pi\)
0.135578 + 0.990767i \(0.456711\pi\)
\(158\) 519495. + 1.07874e6i 0.000833590 + 0.00173097i
\(159\) −9.97533e8 2.27680e8i −1.56077 0.356236i
\(160\) −8.14402e7 + 3.92196e7i −0.124268 + 0.0598443i
\(161\) 3.25521e8 2.59594e8i 0.484480 0.386360i
\(162\) −6.15815e8 + 1.40556e8i −0.894108 + 0.204074i
\(163\) −3.24586e8 + 2.58849e8i −0.459811 + 0.366687i −0.825829 0.563921i \(-0.809292\pi\)
0.366018 + 0.930608i \(0.380721\pi\)
\(164\) 6.41575e7 2.81092e8i 0.0886895 0.388574i
\(165\) −3.27137e7 −0.0441361
\(166\) 4.51029e8i 0.593980i
\(167\) −1.77604e8 + 7.78136e8i −0.228343 + 1.00044i 0.722647 + 0.691217i \(0.242925\pi\)
−0.950991 + 0.309220i \(0.899932\pi\)
\(168\) 6.04714e8 + 4.82243e8i 0.759124 + 0.605381i
\(169\) −1.66699e9 8.02779e8i −2.04355 0.984122i
\(170\) 1.50484e8 7.24692e7i 0.180175 0.0867677i
\(171\) 9.78824e7i 0.114478i
\(172\) 1.47599e8 2.86655e8i 0.168643 0.327526i
\(173\) 1.04577e8 0.116749 0.0583745 0.998295i \(-0.481408\pi\)
0.0583745 + 0.998295i \(0.481408\pi\)
\(174\) −1.45626e8 3.02395e8i −0.158870 0.329897i
\(175\) −3.19863e8 + 6.64203e8i −0.341045 + 0.708188i
\(176\) 6.03403e7 7.56643e7i 0.0628864 0.0788570i
\(177\) −1.00105e8 2.28483e7i −0.101991 0.0232788i
\(178\) −1.20691e9 −1.20225
\(179\) 9.42415e8i 0.917974i 0.888443 + 0.458987i \(0.151787\pi\)
−0.888443 + 0.458987i \(0.848213\pi\)
\(180\) −1.42576e7 3.25420e6i −0.0135818 0.00309995i
\(181\) −5.44598e8 6.82905e8i −0.507413 0.636276i 0.460470 0.887675i \(-0.347681\pi\)
−0.967884 + 0.251399i \(0.919109\pi\)
\(182\) 2.87080e8 + 1.25778e9i 0.261648 + 1.14635i
\(183\) −7.22564e8 9.06066e8i −0.644276 0.807896i
\(184\) −4.09516e8 8.50368e8i −0.357272 0.741883i
\(185\) −5.91825e7 + 2.59296e8i −0.0505250 + 0.221365i
\(186\) 1.66712e9 8.02840e8i 1.39288 0.670776i
\(187\) 1.96172e8 2.45992e8i 0.160425 0.201166i
\(188\) −6.50829e7 2.85147e8i −0.0520997 0.228264i
\(189\) −2.05309e8 8.99517e8i −0.160902 0.704956i
\(190\) −5.38245e7 + 1.11768e8i −0.0413015 + 0.0857634i
\(191\) −5.72472e8 4.56531e8i −0.430151 0.343034i 0.384359 0.923184i \(-0.374423\pi\)
−0.814510 + 0.580150i \(0.802994\pi\)
\(192\) 1.21352e9 9.67748e8i 0.892979 0.712127i
\(193\) −1.64583e9 7.92590e8i −1.18619 0.571241i −0.266484 0.963839i \(-0.585862\pi\)
−0.919710 + 0.392598i \(0.871576\pi\)
\(194\) −6.87977e8 + 1.42860e9i −0.485699 + 1.00856i
\(195\) −3.53650e8 4.43464e8i −0.244588 0.306704i
\(196\) 1.11931e8 1.40357e8i 0.0758446 0.0951062i
\(197\) 1.39023e9 + 6.69498e8i 0.923040 + 0.444513i 0.834156 0.551529i \(-0.185955\pi\)
0.0888846 + 0.996042i \(0.471670\pi\)
\(198\) 4.60477e7 1.05101e7i 0.0299603 0.00683825i
\(199\) 2.43367e9 5.55469e8i 1.55185 0.354199i 0.641198 0.767375i \(-0.278438\pi\)
0.910651 + 0.413176i \(0.135581\pi\)
\(200\) 1.30658e9 + 1.04196e9i 0.816611 + 0.651225i
\(201\) 7.22266e8 + 1.49980e9i 0.442500 + 0.918860i
\(202\) −5.36569e7 1.22468e7i −0.0322270 0.00735560i
\(203\) 5.28830e8 2.54671e8i 0.311409 0.149967i
\(204\) 6.88401e8 5.48982e8i 0.397485 0.316984i
\(205\) 3.70541e8 8.45736e7i 0.209808 0.0478872i
\(206\) −2.83174e8 + 2.25824e8i −0.157248 + 0.125401i
\(207\) 5.88105e7 2.57666e8i 0.0320312 0.140338i
\(208\) 1.67800e9 0.896478
\(209\) 2.33687e8i 0.122475i
\(210\) −6.10796e7 + 2.67607e8i −0.0314065 + 0.137601i
\(211\) 4.25002e8 + 3.38928e8i 0.214418 + 0.170993i 0.724809 0.688950i \(-0.241928\pi\)
−0.510391 + 0.859942i \(0.670499\pi\)
\(212\) −9.83871e8 4.73807e8i −0.487074 0.234562i
\(213\) −2.39625e9 + 1.15397e9i −1.16416 + 0.560631i
\(214\) 2.21605e9i 1.05664i
\(215\) 4.24873e8 + 1.13459e7i 0.198841 + 0.00530990i
\(216\) −2.09155e9 −0.960844
\(217\) 1.40401e9 + 2.91546e9i 0.633186 + 1.31482i
\(218\) 7.25411e8 1.50633e9i 0.321187 0.666952i
\(219\) 2.45026e8 3.07252e8i 0.106521 0.133573i
\(220\) −3.40389e7 7.76916e6i −0.0145306 0.00331652i
\(221\) 5.45535e9 2.28694
\(222\) 2.40384e9i 0.989676i
\(223\) −8.35996e8 1.90811e8i −0.338053 0.0771584i 0.0501246 0.998743i \(-0.484038\pi\)
−0.388178 + 0.921585i \(0.626895\pi\)
\(224\) 8.90804e8 + 1.11703e9i 0.353826 + 0.443684i
\(225\) 1.04131e8 + 4.56227e8i 0.0406303 + 0.178013i
\(226\) −1.49948e9 1.88028e9i −0.574786 0.720759i
\(227\) 4.39771e8 + 9.13194e8i 0.165624 + 0.343922i 0.967218 0.253947i \(-0.0817288\pi\)
−0.801594 + 0.597868i \(0.796014\pi\)
\(228\) −1.45521e8 + 6.37569e8i −0.0538501 + 0.235933i
\(229\) −4.35876e8 + 2.09907e8i −0.158497 + 0.0763281i −0.511451 0.859313i \(-0.670892\pi\)
0.352954 + 0.935641i \(0.385177\pi\)
\(230\) 2.08841e8 2.61878e8i 0.0746283 0.0935810i
\(231\) 1.15060e8 + 5.04110e8i 0.0404088 + 0.177043i
\(232\) −2.96079e8 1.29721e9i −0.102201 0.447773i
\(233\) 2.67854e8 5.56204e8i 0.0908813 0.188717i −0.850574 0.525856i \(-0.823745\pi\)
0.941455 + 0.337139i \(0.109459\pi\)
\(234\) 6.40270e8 + 5.10598e8i 0.213550 + 0.170301i
\(235\) 3.01437e8 2.40388e8i 0.0988382 0.0788209i
\(236\) −9.87337e7 4.75476e7i −0.0318286 0.0153278i
\(237\) −3.61008e6 + 7.49641e6i −0.00114426 + 0.00237607i
\(238\) −1.64601e9 2.06403e9i −0.513009 0.643293i
\(239\) −2.73449e9 + 3.42894e9i −0.838078 + 1.05092i 0.159886 + 0.987135i \(0.448887\pi\)
−0.997964 + 0.0637809i \(0.979684\pi\)
\(240\) 3.21659e8 + 1.54903e8i 0.0969507 + 0.0466890i
\(241\) 3.21965e9 7.34863e8i 0.954421 0.217840i 0.283169 0.959070i \(-0.408614\pi\)
0.671252 + 0.741230i \(0.265757\pi\)
\(242\) −2.54747e9 + 5.81442e8i −0.742757 + 0.169530i
\(243\) −1.02328e9 8.16039e8i −0.293474 0.234038i
\(244\) −5.36653e8 1.11437e9i −0.151403 0.314391i
\(245\) 2.30717e8 + 5.26597e7i 0.0640347 + 0.0146155i
\(246\) −3.09497e9 + 1.49046e9i −0.845115 + 0.406986i
\(247\) −3.16783e9 + 2.52626e9i −0.851088 + 0.678720i
\(248\) 7.15155e9 1.63230e9i 1.89057 0.431511i
\(249\) −2.45049e9 + 1.95420e9i −0.637465 + 0.508361i
\(250\) −2.69381e8 + 1.18023e9i −0.0689614 + 0.302140i
\(251\) −1.66542e9 −0.419593 −0.209796 0.977745i \(-0.567280\pi\)
−0.209796 + 0.977745i \(0.567280\pi\)
\(252\) 2.31152e8i 0.0573185i
\(253\) 1.40406e8 6.15157e8i 0.0342691 0.150143i
\(254\) −1.49379e9 1.19126e9i −0.358885 0.286202i
\(255\) 1.04575e9 + 5.03604e8i 0.247323 + 0.119105i
\(256\) 3.62497e9 1.74569e9i 0.844005 0.406451i
\(257\) 5.59724e9i 1.28304i 0.767104 + 0.641522i \(0.221697\pi\)
−0.767104 + 0.641522i \(0.778303\pi\)
\(258\) −3.76663e9 + 7.54524e8i −0.850108 + 0.170292i
\(259\) 4.20384e9 0.934215
\(260\) −2.62658e8 5.45416e8i −0.0574775 0.119353i
\(261\) 1.61658e8 3.35686e8i 0.0348366 0.0723389i
\(262\) −1.29661e9 + 1.62589e9i −0.275171 + 0.345054i
\(263\) 3.29905e9 + 7.52986e8i 0.689550 + 0.157385i 0.552917 0.833236i \(-0.313515\pi\)
0.136633 + 0.990622i \(0.456372\pi\)
\(264\) 1.17215e9 0.241306
\(265\) 1.43951e9i 0.291899i
\(266\) 1.91162e9 + 4.36316e8i 0.381835 + 0.0871514i
\(267\) −5.22924e9 6.55726e9i −1.02895 1.29026i
\(268\) 3.95338e8 + 1.73209e9i 0.0766353 + 0.335761i
\(269\) −4.36547e9 5.47412e9i −0.833723 1.04545i −0.998253 0.0590830i \(-0.981182\pi\)
0.164531 0.986372i \(-0.447389\pi\)
\(270\) −3.22055e8 6.68754e8i −0.0606003 0.125838i
\(271\) 1.40549e9 6.15785e9i 0.260585 1.14170i −0.660033 0.751236i \(-0.729458\pi\)
0.920619 0.390463i \(-0.127685\pi\)
\(272\) −3.09367e9 + 1.48983e9i −0.565195 + 0.272184i
\(273\) −5.58981e9 + 7.00941e9i −1.00634 + 1.26192i
\(274\) −1.02832e9 4.50537e9i −0.182443 0.799334i
\(275\) 2.48605e8 + 1.08921e9i 0.0434689 + 0.190450i
\(276\) 7.66139e8 1.59090e9i 0.132030 0.274162i
\(277\) −1.96124e8 1.56403e8i −0.0333128 0.0265661i 0.606692 0.794937i \(-0.292496\pi\)
−0.640005 + 0.768371i \(0.721068\pi\)
\(278\) −1.61686e8 + 1.28940e8i −0.0270704 + 0.0215879i
\(279\) 1.85065e9 + 8.91227e8i 0.305427 + 0.147086i
\(280\) −4.72140e8 + 9.80409e8i −0.0768137 + 0.159505i
\(281\) 7.21680e9 + 9.04959e9i 1.15750 + 1.45145i 0.869575 + 0.493800i \(0.164393\pi\)
0.287921 + 0.957654i \(0.407036\pi\)
\(282\) −2.17268e9 + 2.72445e9i −0.343557 + 0.430807i
\(283\) −3.91529e9 1.88551e9i −0.610406 0.293956i 0.103028 0.994678i \(-0.467147\pi\)
−0.713434 + 0.700722i \(0.752861\pi\)
\(284\) −2.76737e9 + 6.31635e8i −0.425397 + 0.0970941i
\(285\) −8.40456e8 + 1.91829e8i −0.127390 + 0.0290759i
\(286\) 1.52860e9 + 1.21902e9i 0.228470 + 0.182199i
\(287\) −2.60652e9 5.41249e9i −0.384179 0.797755i
\(288\) 8.84185e8 + 2.01809e8i 0.128521 + 0.0293340i
\(289\) −3.77289e9 + 1.81693e9i −0.540857 + 0.260463i
\(290\) 3.69181e8 2.94412e8i 0.0521972 0.0416259i
\(291\) −1.07426e10 + 2.45193e9i −1.49809 + 0.341928i
\(292\) 3.27921e8 2.61508e8i 0.0451063 0.0359711i
\(293\) −2.58461e9 + 1.13239e10i −0.350690 + 1.53647i 0.424901 + 0.905240i \(0.360309\pi\)
−0.775592 + 0.631235i \(0.782548\pi\)
\(294\) −2.13890e9 −0.286286
\(295\) 1.44458e8i 0.0190746i
\(296\) 2.12055e9 9.29072e9i 0.276236 1.21027i
\(297\) −1.09320e9 8.71794e8i −0.140499 0.112044i
\(298\) −4.97252e9 2.39464e9i −0.630539 0.303651i
\(299\) 9.85685e9 4.74681e9i 1.23326 0.593905i
\(300\) 3.12650e9i 0.385988i
\(301\) −1.31951e9 6.58709e9i −0.160749 0.802468i
\(302\) 1.08831e10 1.30836
\(303\) −1.65944e8 3.44587e8i −0.0196875 0.0408816i
\(304\) 1.10653e9 2.29774e9i 0.129560 0.269033i
\(305\) 1.01657e9 1.27474e9i 0.117473 0.147306i
\(306\) −1.63378e9 3.72900e8i −0.186341 0.0425311i
\(307\) 3.26371e8 0.0367416 0.0183708 0.999831i \(-0.494152\pi\)
0.0183708 + 0.999831i \(0.494152\pi\)
\(308\) 5.51857e8i 0.0613230i
\(309\) −2.45386e9 5.60077e8i −0.269163 0.0614347i
\(310\) 1.62310e9 + 2.03531e9i 0.175752 + 0.220385i
\(311\) −7.63546e8 3.34531e9i −0.0816194 0.357598i 0.917582 0.397546i \(-0.130138\pi\)
−0.999202 + 0.0399478i \(0.987281\pi\)
\(312\) 1.26715e10 + 1.58896e10i 1.33724 + 1.67685i
\(313\) 9.35512e8 + 1.94261e9i 0.0974703 + 0.202399i 0.944002 0.329938i \(-0.107028\pi\)
−0.846532 + 0.532338i \(0.821314\pi\)
\(314\) 2.48840e9 1.09024e10i 0.255977 1.12151i
\(315\) −2.74533e8 + 1.32208e8i −0.0278838 + 0.0134281i
\(316\) −5.53664e6 + 6.94272e6i −0.000555262 + 0.000696276i
\(317\) 1.94347e9 + 8.51489e9i 0.192460 + 0.843222i 0.975280 + 0.220974i \(0.0709235\pi\)
−0.782820 + 0.622248i \(0.786219\pi\)
\(318\) 2.89514e9 + 1.26844e10i 0.283113 + 1.24040i
\(319\) 3.85946e8 8.01426e8i 0.0372704 0.0773928i
\(320\) 1.70729e9 + 1.36152e9i 0.162820 + 0.129844i
\(321\) 1.20401e10 9.60164e9i 1.13399 0.904327i
\(322\) −4.77001e9 2.29711e9i −0.443706 0.213678i
\(323\) 3.59744e9 7.47017e9i 0.330509 0.686310i
\(324\) −2.92090e9 3.66269e9i −0.265055 0.332369i
\(325\) −1.20777e10 + 1.51449e10i −1.08255 + 1.35748i
\(326\) 4.75630e9 + 2.29051e9i 0.421113 + 0.202798i
\(327\) 1.13271e10 2.58534e9i 0.990669 0.226114i
\(328\) −1.32767e10 + 3.03033e9i −1.14709 + 0.261815i
\(329\) −4.76453e9 3.79958e9i −0.406664 0.324304i
\(330\) 1.80487e8 + 3.74785e8i 0.0152192 + 0.0316029i
\(331\) 2.07958e10 + 4.74650e9i 1.73246 + 0.395422i 0.968336 0.249649i \(-0.0803154\pi\)
0.764122 + 0.645072i \(0.223173\pi\)
\(332\) −3.01386e9 + 1.45140e9i −0.248068 + 0.119463i
\(333\) 2.08630e9 1.66377e9i 0.169668 0.135306i
\(334\) 9.89461e9 2.25838e9i 0.795084 0.181473i
\(335\) −1.83104e9 + 1.46021e9i −0.145385 + 0.115940i
\(336\) 1.25568e9 5.50151e9i 0.0985197 0.431643i
\(337\) −1.15359e10 −0.894398 −0.447199 0.894434i \(-0.647578\pi\)
−0.447199 + 0.894434i \(0.647578\pi\)
\(338\) 2.35270e10i 1.80260i
\(339\) 3.71892e9 1.62937e10i 0.281591 1.23373i
\(340\) 9.68507e8 + 7.72358e8i 0.0724748 + 0.0577967i
\(341\) 4.41829e9 + 2.12774e9i 0.326766 + 0.157362i
\(342\) 1.12139e9 5.40034e8i 0.0819697 0.0394745i
\(343\) 1.50684e10i 1.08865i
\(344\) −1.52235e10 4.06532e8i −1.08713 0.0290309i
\(345\) 2.32767e9 0.164303
\(346\) −5.76971e8 1.19809e9i −0.0402578 0.0835961i
\(347\) 6.74401e9 1.40041e10i 0.465158 0.965910i −0.528012 0.849237i \(-0.677063\pi\)
0.993170 0.116674i \(-0.0372232\pi\)
\(348\) 1.55204e9 1.94620e9i 0.105825 0.132700i
\(349\) 1.72132e10 + 3.92881e9i 1.16028 + 0.264825i 0.758974 0.651121i \(-0.225701\pi\)
0.401301 + 0.915946i \(0.368558\pi\)
\(350\) 9.37420e9 0.624686
\(351\) 2.42437e10i 1.59724i
\(352\) 2.11092e9 + 4.81805e8i 0.137500 + 0.0313834i
\(353\) 1.28079e10 + 1.60606e10i 0.824860 + 1.03434i 0.998770 + 0.0495799i \(0.0157882\pi\)
−0.173910 + 0.984761i \(0.555640\pi\)
\(354\) 2.90533e8 + 1.27291e9i 0.0185005 + 0.0810559i
\(355\) −2.33299e9 2.92547e9i −0.146892 0.184197i
\(356\) −3.88379e9 8.06478e9i −0.241800 0.502103i
\(357\) 4.08235e9 1.78859e10i 0.251326 1.10113i
\(358\) 1.07968e10 5.19947e9i 0.657299 0.316539i
\(359\) −7.75823e9 + 9.72852e9i −0.467073 + 0.585691i −0.958452 0.285255i \(-0.907922\pi\)
0.491378 + 0.870946i \(0.336493\pi\)
\(360\) 1.53704e8 + 6.73423e8i 0.00915116 + 0.0400939i
\(361\) −2.40889e9 1.05540e10i −0.141837 0.621427i
\(362\) −4.81907e9 + 1.00069e10i −0.280627 + 0.582727i
\(363\) −1.41966e10 1.13214e10i −0.817633 0.652041i
\(364\) −7.48091e9 + 5.96583e9i −0.426137 + 0.339833i
\(365\) 4.98142e8 + 2.39892e8i 0.0280661 + 0.0135159i
\(366\) −6.39386e9 + 1.32770e10i −0.356319 + 0.739904i
\(367\) −2.16658e10 2.71680e10i −1.19429 1.49759i −0.822012 0.569470i \(-0.807148\pi\)
−0.372278 0.928121i \(-0.621423\pi\)
\(368\) −4.29338e9 + 5.38373e9i −0.234104 + 0.293557i
\(369\) −3.43570e9 1.65455e9i −0.185315 0.0892428i
\(370\) 3.29715e9 7.52552e8i 0.175927 0.0401541i
\(371\) −2.21826e10 + 5.06302e9i −1.17089 + 0.267248i
\(372\) 1.07295e10 + 8.55646e9i 0.560282 + 0.446810i
\(373\) 8.99590e9 + 1.86802e10i 0.464739 + 0.965041i 0.993237 + 0.116106i \(0.0370413\pi\)
−0.528498 + 0.848935i \(0.677244\pi\)
\(374\) −3.90053e9 8.90271e8i −0.199360 0.0455025i
\(375\) −7.57951e9 + 3.65010e9i −0.383280 + 0.184578i
\(376\) −1.08007e10 + 8.61325e9i −0.540380 + 0.430939i
\(377\) 1.50363e10 3.43194e9i 0.744348 0.169892i
\(378\) −9.17262e9 + 7.31492e9i −0.449289 + 0.358296i
\(379\) −6.97946e8 + 3.05790e9i −0.0338271 + 0.148206i −0.989021 0.147774i \(-0.952789\pi\)
0.955194 + 0.295980i \(0.0956463\pi\)
\(380\) −9.20059e8 −0.0441247
\(381\) 1.32774e10i 0.630106i
\(382\) −2.07184e9 + 9.07730e9i −0.0972975 + 0.426288i
\(383\) −3.72232e9 2.96845e9i −0.172989 0.137954i 0.533168 0.846009i \(-0.321001\pi\)
−0.706157 + 0.708055i \(0.749573\pi\)
\(384\) −2.96324e9 1.42702e9i −0.136283 0.0656305i
\(385\) −6.55426e8 + 3.15637e8i −0.0298319 + 0.0143663i
\(386\) 2.32284e10i 1.04633i
\(387\) −3.26186e9 2.74685e9i −0.145419 0.122459i
\(388\) −1.17601e10 −0.518899
\(389\) 7.96048e9 + 1.65301e10i 0.347649 + 0.721901i 0.999330 0.0365924i \(-0.0116503\pi\)
−0.651681 + 0.758493i \(0.725936\pi\)
\(390\) −3.12940e9 + 6.49827e9i −0.135270 + 0.280892i
\(391\) −1.39582e10 + 1.75030e10i −0.597203 + 0.748869i
\(392\) −8.26674e9 1.88683e9i −0.350098 0.0799076i
\(393\) −1.44516e10 −0.605821
\(394\) 1.96209e10i 0.814205i
\(395\) −1.14124e7 2.60481e6i −0.000468801 0.000107001i
\(396\) 2.18411e8 + 2.73878e8i 0.00888163 + 0.0111372i
\(397\) 3.52611e9 + 1.54489e10i 0.141950 + 0.621922i 0.994981 + 0.100063i \(0.0319043\pi\)
−0.853032 + 0.521859i \(0.825239\pi\)
\(398\) −1.97907e10 2.48168e10i −0.788732 0.989039i
\(399\) 5.91206e9 + 1.22765e10i 0.233264 + 0.484377i
\(400\) 2.71310e9 1.18869e10i 0.105980 0.464331i
\(401\) 3.08209e10 1.48426e10i 1.19198 0.574026i 0.270599 0.962692i \(-0.412778\pi\)
0.921379 + 0.388666i \(0.127064\pi\)
\(402\) 1.31976e10 1.65493e10i 0.505350 0.633689i
\(403\) 1.89204e10 + 8.28957e10i 0.717315 + 3.14276i
\(404\) −9.08307e7 3.97955e8i −0.00340963 0.0149386i
\(405\) 2.67946e9 5.56396e9i 0.0995928 0.206806i
\(406\) −5.83529e9 4.65349e9i −0.214762 0.171267i
\(407\) 4.98089e9 3.97212e9i 0.181522 0.144759i
\(408\) −3.74697e10 1.80445e10i −1.35220 0.651183i
\(409\) −1.22958e10 + 2.55324e10i −0.439403 + 0.912429i 0.557224 + 0.830362i \(0.311866\pi\)
−0.996627 + 0.0820670i \(0.973848\pi\)
\(410\) −3.01326e9 3.77851e9i −0.106635 0.133717i
\(411\) 2.00227e10 2.51077e10i 0.701707 0.879913i
\(412\) −2.42025e9 1.16553e9i −0.0839984 0.0404515i
\(413\) −2.22607e9 + 5.08086e8i −0.0765136 + 0.0174637i
\(414\) −3.27642e9 + 7.47821e8i −0.111532 + 0.0254564i
\(415\) −3.44758e9 2.74935e9i −0.116231 0.0926911i
\(416\) 1.62888e10 + 3.38240e10i 0.543895 + 1.12941i
\(417\) −1.40110e9 3.19791e8i −0.0463366 0.0105760i
\(418\) 2.67724e9 1.28929e9i 0.0876965 0.0422324i
\(419\) −3.16932e10 + 2.52745e10i −1.02828 + 0.820023i −0.983851 0.178990i \(-0.942717\pi\)
−0.0444252 + 0.999013i \(0.514146\pi\)
\(420\) −1.98476e9 + 4.53008e8i −0.0637837 + 0.0145582i
\(421\) 1.32139e10 1.05378e10i 0.420633 0.335444i −0.390190 0.920734i \(-0.627591\pi\)
0.810824 + 0.585290i \(0.199019\pi\)
\(422\) 1.53813e9 6.73897e9i 0.0485000 0.212493i
\(423\) −3.86834e9 −0.120827
\(424\) 5.15787e10i 1.59590i
\(425\) 8.82055e9 3.86454e10i 0.270358 1.18452i
\(426\) 2.64410e10 + 2.10860e10i 0.802860 + 0.640259i
\(427\) −2.32189e10 1.11816e10i −0.698440 0.336351i
\(428\) 1.48081e10 7.13120e9i 0.441290 0.212514i
\(429\) 1.35868e10i 0.401131i
\(430\) −2.21411e9 4.93016e9i −0.0647628 0.144207i
\(431\) −1.51021e10 −0.437652 −0.218826 0.975764i \(-0.570223\pi\)
−0.218826 + 0.975764i \(0.570223\pi\)
\(432\) 6.62086e9 + 1.37484e10i 0.190099 + 0.394744i
\(433\) −1.40111e10 + 2.90944e10i −0.398585 + 0.827671i 0.601010 + 0.799241i \(0.294765\pi\)
−0.999596 + 0.0284300i \(0.990949\pi\)
\(434\) 2.56548e10 3.21702e10i 0.723120 0.906764i
\(435\) 3.19915e9 + 7.30185e8i 0.0893465 + 0.0203927i
\(436\) 1.24000e10 0.343142
\(437\) 1.66275e10i 0.455932i
\(438\) −4.87189e9 1.11198e9i −0.132374 0.0302134i
\(439\) −2.83572e10 3.55588e10i −0.763492 0.957389i 0.236406 0.971654i \(-0.424031\pi\)
−0.999898 + 0.0142652i \(0.995459\pi\)
\(440\) 3.66958e8 + 1.60775e9i 0.00979051 + 0.0428950i
\(441\) −1.48040e9 1.85636e9i −0.0391403 0.0490803i
\(442\) −3.00981e10 6.24994e10i −0.788588 1.63752i
\(443\) 1.53051e10 6.70561e10i 0.397395 1.74110i −0.240196 0.970724i \(-0.577212\pi\)
0.637591 0.770375i \(-0.279931\pi\)
\(444\) 1.60629e10 7.73548e9i 0.413325 0.199047i
\(445\) 7.35698e9 9.22536e9i 0.187612 0.235257i
\(446\) 2.42631e9 + 1.06303e10i 0.0613206 + 0.268663i
\(447\) −8.53441e9 3.73917e10i −0.213768 0.936581i
\(448\) 1.49758e10 3.10976e10i 0.371774 0.771996i
\(449\) −1.51303e10 1.20660e10i −0.372274 0.296879i 0.419425 0.907790i \(-0.362232\pi\)
−0.791699 + 0.610911i \(0.790803\pi\)
\(450\) 4.65227e9 3.71006e9i 0.113453 0.0904756i
\(451\) −8.20247e9 3.95010e9i −0.198262 0.0954778i
\(452\) 7.73915e9 1.60705e10i 0.185413 0.385013i
\(453\) 4.71541e10 + 5.91293e10i 1.11976 + 1.40414i
\(454\) 8.03574e9 1.00765e10i 0.189148 0.237184i
\(455\) −1.13642e10 5.47271e9i −0.265151 0.127690i
\(456\) 3.01141e10 6.87334e9i 0.696482 0.158967i
\(457\) 9.34683e8 2.13335e8i 0.0214289 0.00489100i −0.211793 0.977315i \(-0.567930\pi\)
0.233222 + 0.972424i \(0.425073\pi\)
\(458\) 4.80961e9 + 3.83553e9i 0.109307 + 0.0871693i
\(459\) 2.15251e10 + 4.46972e10i 0.484946 + 1.00700i
\(460\) 2.42196e9 + 5.52797e8i 0.0540924 + 0.0123462i
\(461\) −6.17110e9 + 2.97185e9i −0.136634 + 0.0657995i −0.500952 0.865475i \(-0.667017\pi\)
0.364318 + 0.931275i \(0.381302\pi\)
\(462\) 5.14055e9 4.09945e9i 0.112834 0.0899824i
\(463\) −1.87764e10 + 4.28559e9i −0.408591 + 0.0932582i −0.421876 0.906654i \(-0.638628\pi\)
0.0132851 + 0.999912i \(0.495771\pi\)
\(464\) −7.58967e9 + 6.05256e9i −0.163739 + 0.130577i
\(465\) −4.02553e9 + 1.76370e10i −0.0861017 + 0.377236i
\(466\) −7.84997e9 −0.166465
\(467\) 2.11315e9i 0.0444286i 0.999753 + 0.0222143i \(0.00707161\pi\)
−0.999753 + 0.0222143i \(0.992928\pi\)
\(468\) −1.35154e9 + 5.92150e9i −0.0281739 + 0.123438i
\(469\) 2.89415e10 + 2.30801e10i 0.598177 + 0.477030i
\(470\) −4.41709e9 2.12716e9i −0.0905201 0.0435922i
\(471\) 7.00157e10 3.37178e10i 1.42269 0.685133i
\(472\) 5.17604e9i 0.104287i
\(473\) −7.78743e9 6.55789e9i −0.155579 0.131014i
\(474\) 1.05800e8 0.00209591
\(475\) 1.27739e10 + 2.65253e10i 0.250929 + 0.521058i
\(476\) 8.49544e9 1.76410e10i 0.165485 0.343633i
\(477\) −9.00506e9 + 1.12920e10i −0.173945 + 0.218121i
\(478\) 5.43704e10 + 1.24097e10i 1.04148 + 0.237711i
\(479\) −3.22476e10 −0.612570 −0.306285 0.951940i \(-0.599086\pi\)
−0.306285 + 0.951940i \(0.599086\pi\)
\(480\) 7.98745e9i 0.150468i
\(481\) 1.07691e11 + 2.45799e10i 2.01187 + 0.459197i
\(482\) −2.61823e10 3.28316e10i −0.485087 0.608280i
\(483\) −8.18683e9 3.58689e10i −0.150428 0.659066i
\(484\) −1.20830e10 1.51516e10i −0.220188 0.276107i
\(485\) −6.72621e9 1.39671e10i −0.121564 0.252429i
\(486\) −3.70336e9 + 1.62255e10i −0.0663821 + 0.290839i
\(487\) 2.93320e10 1.41255e10i 0.521465 0.251125i −0.154585 0.987979i \(-0.549404\pi\)
0.676051 + 0.736855i \(0.263690\pi\)
\(488\) −3.64243e10 + 4.56747e10i −0.642262 + 0.805371i
\(489\) 8.16331e9 + 3.57658e10i 0.142768 + 0.625508i
\(490\) −6.69609e8 2.93375e9i −0.0116155 0.0508907i
\(491\) −2.44223e10 + 5.07135e10i −0.420205 + 0.872564i 0.578189 + 0.815903i \(0.303760\pi\)
−0.998393 + 0.0566610i \(0.981955\pi\)
\(492\) −1.99191e10 1.58849e10i −0.339945 0.271097i
\(493\) −2.46748e10 + 1.96775e10i −0.417701 + 0.333105i
\(494\) 4.64197e10 + 2.23545e10i 0.779461 + 0.375369i
\(495\) −2.00357e8 + 4.16046e8i −0.00333722 + 0.00692980i
\(496\) −3.33680e10 4.18421e10i −0.551320 0.691333i
\(497\) −3.68753e10 + 4.62401e10i −0.604380 + 0.757868i
\(498\) 3.59082e10 + 1.72925e10i 0.583816 + 0.281151i
\(499\) 5.31787e10 1.21377e10i 0.857700 0.195764i 0.229013 0.973423i \(-0.426450\pi\)
0.628686 + 0.777659i \(0.283593\pi\)
\(500\) −8.75341e9 + 1.99791e9i −0.140054 + 0.0319665i
\(501\) 5.51411e10 + 4.39735e10i 0.875234 + 0.697976i
\(502\) 9.18839e9 + 1.90799e10i 0.144685 + 0.300442i
\(503\) 5.19156e10 + 1.18494e10i 0.811010 + 0.185108i 0.607864 0.794041i \(-0.292026\pi\)
0.203145 + 0.979149i \(0.434884\pi\)
\(504\) 9.83668e9 4.73709e9i 0.152450 0.0734159i
\(505\) 4.20690e8 3.35489e8i 0.00646840 0.00515838i
\(506\) −7.82221e9 + 1.78537e9i −0.119324 + 0.0272349i
\(507\) −1.27825e11 + 1.01937e11i −1.93456 + 1.54276i
\(508\) 3.15324e9 1.38153e10i 0.0473481 0.207446i
\(509\) −1.11242e11 −1.65729 −0.828647 0.559772i \(-0.810889\pi\)
−0.828647 + 0.559772i \(0.810889\pi\)
\(510\) 1.47591e10i 0.218162i
\(511\) 1.94463e9 8.51999e9i 0.0285203 0.124955i
\(512\) −4.74488e10 3.78391e10i −0.690471 0.550632i
\(513\) −3.31976e10 1.59871e10i −0.479333 0.230835i
\(514\) 6.41250e10 3.08810e10i 0.918702 0.442424i
\(515\) 3.54109e9i 0.0503395i
\(516\) −1.71628e10 2.27413e10i −0.242097 0.320787i
\(517\) −9.23537e9 −0.129268
\(518\) −2.31933e10 4.81614e10i −0.322139 0.668929i
\(519\) 4.00950e9 8.32581e9i 0.0552612 0.114751i
\(520\) −1.78275e10 + 2.23549e10i −0.243824 + 0.305745i
\(521\) −2.55809e10 5.83867e9i −0.347188 0.0792434i 0.0453710 0.998970i \(-0.485553\pi\)
−0.392559 + 0.919727i \(0.628410\pi\)
\(522\) −4.73770e9 −0.0638095
\(523\) 4.76220e10i 0.636504i 0.948006 + 0.318252i \(0.103096\pi\)
−0.948006 + 0.318252i \(0.896904\pi\)
\(524\) −1.50370e10 3.43209e9i −0.199451 0.0455233i
\(525\) 4.06162e10 + 5.09311e10i 0.534641 + 0.670418i
\(526\) −9.57481e9 4.19500e10i −0.125080 0.548011i
\(527\) −1.08483e11 1.36033e11i −1.40643 1.76361i
\(528\) −3.71048e9 7.70490e9i −0.0477414 0.0991359i
\(529\) 7.43558e9 3.25774e10i 0.0949494 0.416001i
\(530\) −1.64918e10 + 7.94204e9i −0.209009 + 0.100653i
\(531\) −9.03678e8 + 1.13318e9i −0.0113667 + 0.0142534i
\(532\) 3.23601e9 + 1.41779e10i 0.0403983 + 0.176997i
\(533\) −3.51254e10 1.53894e11i −0.435223 1.90684i
\(534\) −4.62728e10 + 9.60865e10i −0.569064 + 1.18167i
\(535\) 1.69391e10 + 1.35085e10i 0.206764 + 0.164889i
\(536\) 6.56073e10 5.23201e10i 0.794864 0.633883i
\(537\) 7.50293e10 + 3.61322e10i 0.902265 + 0.434508i
\(538\) −3.86294e10 + 8.02148e10i −0.461093 + 0.957470i
\(539\) −3.53433e9 4.43191e9i −0.0418748 0.0525093i
\(540\) 3.43238e9 4.30407e9i 0.0403664 0.0506179i
\(541\) 9.77540e10 + 4.70758e10i 1.14116 + 0.549552i 0.906366 0.422493i \(-0.138845\pi\)
0.234791 + 0.972046i \(0.424559\pi\)
\(542\) −7.83019e10 + 1.78719e10i −0.907350 + 0.207097i
\(543\) −7.52486e10 + 1.71750e10i −0.865564 + 0.197559i
\(544\) −6.00620e10 4.78978e10i −0.685810 0.546916i
\(545\) 7.09220e9 + 1.47271e10i 0.0803887 + 0.166929i
\(546\) 1.11143e11 + 2.53678e10i 1.25058 + 0.285438i
\(547\) −1.25366e11 + 6.03730e10i −1.40033 + 0.674363i −0.973228 0.229842i \(-0.926179\pi\)
−0.427100 + 0.904204i \(0.640465\pi\)
\(548\) 2.67966e10 2.13696e10i 0.297138 0.236960i
\(549\) −1.59486e10 + 3.64016e9i −0.175563 + 0.0400710i
\(550\) 1.11069e10 8.85750e9i 0.121379 0.0967966i
\(551\) 5.21600e9 2.28528e10i 0.0565888 0.247932i
\(552\) −8.34019e10 −0.898297
\(553\) 1.85024e8i 0.00197846i
\(554\) −7.09791e8 + 3.10980e9i −0.00753515 + 0.0330136i
\(555\) 1.83745e10 + 1.46532e10i 0.193661 + 0.154440i
\(556\) −1.38191e9 6.65491e8i −0.0144604 0.00696375i
\(557\) −9.12108e10 + 4.39248e10i −0.947601 + 0.456341i −0.842845 0.538157i \(-0.819121\pi\)
−0.104757 + 0.994498i \(0.533406\pi\)
\(558\) 2.61191e10i 0.269415i
\(559\) 4.71223e9 1.76459e11i 0.0482591 1.80716i
\(560\) 7.93908e9 0.0807269
\(561\) −1.20631e10 2.50494e10i −0.121789 0.252898i
\(562\) 6.38605e10 1.32608e11i 0.640157 1.32930i
\(563\) 4.58065e10 5.74395e10i 0.455925 0.571712i −0.499737 0.866177i \(-0.666570\pi\)
0.955662 + 0.294465i \(0.0951415\pi\)
\(564\) −2.51969e10 5.75103e9i −0.249018 0.0568368i
\(565\) 2.35130e10 0.230735
\(566\) 5.52583e10i 0.538434i
\(567\) −9.51635e10 2.17204e10i −0.920742 0.210153i
\(568\) 8.35923e10 + 1.04821e11i 0.803106 + 1.00706i
\(569\) 3.21555e10 + 1.40882e11i 0.306765 + 1.34402i 0.859700 + 0.510800i \(0.170651\pi\)
−0.552935 + 0.833225i \(0.686492\pi\)
\(570\) 6.83463e9 + 8.57035e9i 0.0647464 + 0.0811894i
\(571\) 4.67316e10 + 9.70392e10i 0.439609 + 0.912857i 0.996604 + 0.0823415i \(0.0262398\pi\)
−0.556995 + 0.830516i \(0.688046\pi\)
\(572\) −3.22671e9 + 1.41371e10i −0.0301422 + 0.132062i
\(573\) −5.82948e10 + 2.80733e10i −0.540769 + 0.260421i
\(574\) −4.76277e10 + 5.97233e10i −0.438745 + 0.550169i
\(575\) −1.76889e10 7.75002e10i −0.161819 0.708976i
\(576\) −4.87535e9 2.13603e10i −0.0442911 0.194052i
\(577\) 8.21762e10 1.70641e11i 0.741383 1.53950i −0.0975299 0.995233i \(-0.531094\pi\)
0.838913 0.544265i \(-0.183192\pi\)
\(578\) 4.16313e10 + 3.31999e10i 0.373000 + 0.297458i
\(579\) −1.26202e11 + 1.00643e11i −1.12293 + 0.895508i
\(580\) 3.15533e9 + 1.51953e9i 0.0278826 + 0.0134275i
\(581\) −3.02411e10 + 6.27963e10i −0.265395 + 0.551099i
\(582\) 8.73592e10 + 1.09545e11i 0.761407 + 0.954774i
\(583\) −2.14989e10 + 2.69588e10i −0.186098 + 0.233360i
\(584\) −1.78487e10 8.59549e9i −0.153446 0.0738957i
\(585\) −7.80583e9 + 1.78163e9i −0.0666493 + 0.0152123i
\(586\) 1.43992e11 3.28653e10i 1.22109 0.278706i
\(587\) 1.39898e11 + 1.11565e11i 1.17831 + 0.939670i 0.999026 0.0441279i \(-0.0140509\pi\)
0.179283 + 0.983798i \(0.442622\pi\)
\(588\) −6.88291e9 1.42925e10i −0.0575788 0.119564i
\(589\) 1.25988e11 + 2.87560e10i 1.04681 + 0.238928i
\(590\) −1.65499e9 + 7.97002e8i −0.0136580 + 0.00657736i
\(591\) 1.06603e11 8.50128e10i 0.873812 0.696842i
\(592\) −6.77832e10 + 1.54711e10i −0.551868 + 0.125960i
\(593\) 7.79640e9 6.21742e9i 0.0630486 0.0502795i −0.591458 0.806335i \(-0.701448\pi\)
0.654507 + 0.756056i \(0.272876\pi\)
\(594\) −3.95638e9 + 1.73341e10i −0.0317799 + 0.139237i
\(595\) 2.58107e10 0.205936
\(596\) 4.09332e10i 0.324408i
\(597\) 4.90839e10 2.15051e11i 0.386404 1.69295i
\(598\) −1.08764e11 8.67363e10i −0.850511 0.678260i
\(599\) 1.35880e11 + 6.54362e10i 1.05547 + 0.508289i 0.879398 0.476087i \(-0.157945\pi\)
0.176076 + 0.984377i \(0.443660\pi\)
\(600\) 1.33049e11 6.40729e10i 1.02661 0.494390i
\(601\) 1.86028e11i 1.42587i 0.701231 + 0.712934i \(0.252634\pi\)
−0.701231 + 0.712934i \(0.747366\pi\)
\(602\) −6.81852e10 + 5.14592e10i −0.519164 + 0.391811i
\(603\) 2.34977e10 0.177728
\(604\) 3.50216e10 + 7.27232e10i 0.263141 + 0.546418i
\(605\) 1.10842e10 2.30167e10i 0.0827341 0.171799i
\(606\) −3.03222e9 + 3.80229e9i −0.0224839 + 0.0281939i
\(607\) −2.26091e11 5.16037e10i −1.66544 0.380125i −0.716994 0.697079i \(-0.754483\pi\)
−0.948441 + 0.316954i \(0.897340\pi\)
\(608\) 5.70575e10 0.417540
\(609\) 5.18663e10i 0.377065i
\(610\) −2.02127e10 4.61341e9i −0.145984 0.0333198i
\(611\) −9.98386e10 1.25194e11i −0.716364 0.898292i
\(612\) −2.76568e9 1.21172e10i −0.0197150 0.0863769i
\(613\) 1.53572e10 + 1.92573e10i 0.108760 + 0.136381i 0.833232 0.552923i \(-0.186488\pi\)
−0.724472 + 0.689304i \(0.757916\pi\)
\(614\) −1.80065e9 3.73908e9i −0.0126694 0.0263082i
\(615\) 7.47333e9 3.27428e10i 0.0522413 0.228884i
\(616\) 2.34843e10 1.13095e10i 0.163100 0.0785450i
\(617\) −3.02333e10 + 3.79113e10i −0.208615 + 0.261594i −0.875120 0.483906i \(-0.839218\pi\)
0.666506 + 0.745500i \(0.267789\pi\)
\(618\) 7.12181e9 + 3.12027e10i 0.0488244 + 0.213914i
\(619\) −1.25807e10 5.51196e10i −0.0856923 0.375443i 0.913838 0.406078i \(-0.133104\pi\)
−0.999531 + 0.0306356i \(0.990247\pi\)
\(620\) −8.37721e9 + 1.73954e10i −0.0566934 + 0.117725i
\(621\) 7.77839e10 + 6.20306e10i 0.523026 + 0.417099i
\(622\) −3.41130e10 + 2.72042e10i −0.227908 + 0.181750i
\(623\) −1.68036e11 8.09221e10i −1.11545 0.537174i
\(624\) 6.43347e10 1.33592e11i 0.424333 0.881137i
\(625\) 8.39934e10 + 1.05324e11i 0.550459 + 0.690254i
\(626\) 1.70942e10 2.14354e10i 0.111314 0.139584i
\(627\) 1.86047e10 + 8.95956e9i 0.120380 + 0.0579718i
\(628\) 8.08595e10 1.84557e10i 0.519867 0.118656i
\(629\) −2.20370e11 + 5.02980e10i −1.40783 + 0.321328i
\(630\) 3.02929e9 + 2.41578e9i 0.0192300 + 0.0153354i
\(631\) −4.72844e10 9.81870e10i −0.298264 0.619351i 0.696945 0.717124i \(-0.254542\pi\)
−0.995209 + 0.0977739i \(0.968828\pi\)
\(632\) 4.08913e8 + 9.33318e7i 0.00256308 + 0.000585007i
\(633\) 4.32779e10 2.08416e10i 0.269558 0.129812i
\(634\) 8.68286e10 6.92435e10i 0.537410 0.428570i
\(635\) 1.82115e10 4.15667e9i 0.112009 0.0255653i
\(636\) −7.54433e10 + 6.01640e10i −0.461097 + 0.367712i
\(637\) 2.18708e10 9.58221e10i 0.132833 0.581980i
\(638\) −1.13109e10 −0.0682675
\(639\) 3.75426e10i 0.225175i
\(640\) 1.02965e9 4.51119e9i 0.00613719 0.0268888i
\(641\) 1.03464e11 + 8.25101e10i 0.612856 + 0.488737i 0.880034 0.474911i \(-0.157520\pi\)
−0.267178 + 0.963647i \(0.586091\pi\)
\(642\) −1.76429e11 8.49636e10i −1.03855 0.500141i
\(643\) 1.61370e11 7.77116e10i 0.944014 0.454613i 0.102430 0.994740i \(-0.467338\pi\)
0.841583 + 0.540127i \(0.181624\pi\)
\(644\) 3.92661e10i 0.228284i
\(645\) 1.71929e10 3.33908e10i 0.0993370 0.192925i
\(646\) −1.05430e11 −0.605388
\(647\) 1.24113e11 + 2.57723e11i 0.708273 + 1.47074i 0.874688 + 0.484687i \(0.161067\pi\)
−0.166415 + 0.986056i \(0.553219\pi\)
\(648\) −9.60068e10 + 1.99360e11i −0.544505 + 1.13068i
\(649\) −2.15746e9 + 2.70537e9i −0.0121609 + 0.0152492i
\(650\) 2.40143e11 + 5.48110e10i 1.34529 + 0.307053i
\(651\) 2.85941e11 1.59203
\(652\) 3.91533e10i 0.216660i
\(653\) −8.71829e10 1.98989e10i −0.479489 0.109440i −0.0240566 0.999711i \(-0.507658\pi\)
−0.455432 + 0.890270i \(0.650515\pi\)
\(654\) −9.21127e10 1.15506e11i −0.503510 0.631382i
\(655\) −4.52425e9 1.98220e10i −0.0245800 0.107692i
\(656\) 6.19471e10 + 7.76792e10i 0.334507 + 0.419459i
\(657\) −2.40690e9 4.99797e9i −0.0129180 0.0268246i
\(658\) −1.72433e10 + 7.55479e10i −0.0919850 + 0.403013i
\(659\) 2.12197e11 1.02189e11i 1.12512 0.541827i 0.223646 0.974670i \(-0.428204\pi\)
0.901469 + 0.432844i \(0.142490\pi\)
\(660\) −1.92359e9 + 2.41210e9i −0.0101376 + 0.0127122i
\(661\) 2.28088e9 + 9.99321e9i 0.0119481 + 0.0523479i 0.980551 0.196267i \(-0.0628819\pi\)
−0.968602 + 0.248615i \(0.920025\pi\)
\(662\) −6.03554e10 2.64434e11i −0.314257 1.37685i
\(663\) 2.09158e11 4.34322e11i 1.08248 2.24780i
\(664\) 1.23529e11 + 9.85110e10i 0.635472 + 0.506772i
\(665\) −1.49879e10 + 1.19524e10i −0.0766396 + 0.0611180i
\(666\) −3.05715e10 1.47225e10i −0.155389 0.0748313i
\(667\) −2.74612e10 + 5.70237e10i −0.138744 + 0.288106i
\(668\) 4.69315e10 + 5.88503e10i 0.235700 + 0.295558i
\(669\) −4.72433e10 + 5.92412e10i −0.235850 + 0.295746i
\(670\) 2.68311e10 + 1.29212e10i 0.133149 + 0.0641213i
\(671\) −3.80760e10 + 8.69060e9i −0.187828 + 0.0428706i
\(672\) 1.23085e11 2.80933e10i 0.603569 0.137761i
\(673\) −4.19052e10 3.34183e10i −0.204271 0.162901i 0.516011 0.856582i \(-0.327416\pi\)
−0.720282 + 0.693681i \(0.755988\pi\)
\(674\) 6.36454e10 + 1.32161e11i 0.308409 + 0.640419i
\(675\) −1.71741e11 3.91988e10i −0.827292 0.188824i
\(676\) −1.57212e11 + 7.57091e10i −0.752832 + 0.362545i
\(677\) 1.36108e11 1.08543e11i 0.647933 0.516709i −0.243477 0.969907i \(-0.578288\pi\)
0.891410 + 0.453197i \(0.149717\pi\)
\(678\) −2.07187e11 + 4.72890e10i −0.980490 + 0.223790i
\(679\) −1.91573e11 + 1.52774e11i −0.901269 + 0.718738i
\(680\) 1.30197e10 5.70432e10i 0.0608929 0.266789i
\(681\) 8.95638e10 0.416432
\(682\) 6.23573e10i 0.288237i
\(683\) −5.62035e10 + 2.46244e11i −0.258274 + 1.13157i 0.664822 + 0.747002i \(0.268507\pi\)
−0.923096 + 0.384570i \(0.874350\pi\)
\(684\) 7.21722e9 + 5.75554e9i 0.0329720 + 0.0262943i
\(685\) 4.07066e10 + 1.96033e10i 0.184885 + 0.0890361i
\(686\) −1.72631e11 + 8.31347e10i −0.779511 + 0.375393i
\(687\) 4.27496e10i 0.191913i
\(688\) 4.55180e10 + 1.01355e11i 0.203156 + 0.452368i
\(689\) −5.97863e11 −2.65292
\(690\) −1.28422e10 2.66670e10i −0.0566555 0.117646i
\(691\) 7.62654e10 1.58367e11i 0.334515 0.694627i −0.664078 0.747664i \(-0.731176\pi\)
0.998593 + 0.0530363i \(0.0168899\pi\)
\(692\) 6.14921e9 7.71086e9i 0.0268160 0.0336263i
\(693\) 7.11587e9 + 1.62415e9i 0.0308528 + 0.00704195i
\(694\) −1.97646e11 −0.852021
\(695\) 2.02189e9i 0.00866598i
\(696\) −1.14627e11 2.61630e10i −0.488486 0.111494i
\(697\) 2.01396e11 + 2.52543e11i 0.853335 + 1.07005i
\(698\) −4.99579e10 2.18880e11i −0.210466 0.922113i
\(699\) −3.40121e10 4.26498e10i −0.142470 0.178652i
\(700\) 3.01659e10 + 6.26402e10i 0.125639 + 0.260892i
\(701\) 2.88452e7 1.26379e8i 0.000119454 0.000523363i −0.974868 0.222783i \(-0.928486\pi\)
0.974988 + 0.222259i \(0.0713431\pi\)
\(702\) −2.77749e11 + 1.33757e11i −1.14368 + 0.550767i
\(703\) 1.04673e11 1.31256e11i 0.428563 0.537400i
\(704\) −1.16395e10 5.09961e10i −0.0473854 0.207609i
\(705\) −7.58112e9 3.32150e10i −0.0306886 0.134455i
\(706\) 1.13336e11 2.35344e11i 0.456192 0.947292i
\(707\) −6.64945e9 5.30276e9i −0.0266139 0.0212239i
\(708\) −7.57090e9 + 6.03759e9i −0.0301311 + 0.0240287i
\(709\) −3.92144e11 1.88846e11i −1.55189 0.747349i −0.555439 0.831557i \(-0.687450\pi\)
−0.996448 + 0.0842080i \(0.973164\pi\)
\(710\) −2.06443e10 + 4.28682e10i −0.0812392 + 0.168695i
\(711\) 7.32276e7 + 9.18245e7i 0.000286547 + 0.000359319i
\(712\) −2.63605e11 + 3.30550e11i −1.02573 + 1.28623i
\(713\) −3.14374e11 1.51394e11i −1.21643 0.585803i
\(714\) −2.27434e11 + 5.19103e10i −0.875109 + 0.199738i
\(715\) −1.86358e10 + 4.25351e9i −0.0713058 + 0.0162751i
\(716\) 6.94877e10 + 5.54146e10i 0.264397 + 0.210849i
\(717\) 1.68151e11 + 3.49169e11i 0.636242 + 1.32117i
\(718\) 1.54258e11 + 3.52085e10i 0.580432 + 0.132480i
\(719\) 3.72388e11 1.79333e11i 1.39341 0.671033i 0.421601 0.906782i \(-0.361468\pi\)
0.971814 + 0.235748i \(0.0757541\pi\)
\(720\) 3.94005e9 3.14208e9i 0.0146613 0.0116920i
\(721\) −5.45674e10 + 1.24547e10i −0.201926 + 0.0460883i
\(722\) −1.07622e11 + 8.58260e10i −0.396054 + 0.315842i
\(723\) 6.49360e10 2.84503e11i 0.237647 1.04120i
\(724\) −8.23757e10 −0.299809
\(725\) 1.12065e11i 0.405619i
\(726\) −5.13790e10 + 2.25106e11i −0.184944 + 0.810291i
\(727\) 3.38348e10 + 2.69824e10i 0.121123 + 0.0965924i 0.682178 0.731186i \(-0.261033\pi\)
−0.561055 + 0.827779i \(0.689604\pi\)
\(728\) 4.07186e11 + 1.96091e11i 1.44966 + 0.698122i
\(729\) 1.89439e11 9.12289e10i 0.670747 0.323015i
\(730\) 7.03050e9i 0.0247568i
\(731\) 1.47984e11 + 3.29515e11i 0.518256 + 1.15400i
\(732\) −1.09295e11 −0.380675
\(733\) −7.87838e10 1.63596e11i −0.272911 0.566706i 0.718797 0.695220i \(-0.244693\pi\)
−0.991708 + 0.128515i \(0.958979\pi\)
\(734\) −1.91717e11 + 3.98105e11i −0.660506 + 1.37156i
\(735\) 1.30381e10 1.63493e10i 0.0446752 0.0560209i
\(736\) −1.50198e11 3.42818e10i −0.511863 0.116829i
\(737\) 5.60991e10 0.190145
\(738\) 4.84896e10i 0.163464i
\(739\) −4.21589e11 9.62249e10i −1.41355 0.322634i −0.553503 0.832847i \(-0.686709\pi\)
−0.860048 + 0.510214i \(0.829566\pi\)
\(740\) 1.56388e10 + 1.96105e10i 0.0521528 + 0.0653975i
\(741\) 7.96708e10 + 3.49061e11i 0.264257 + 1.15779i
\(742\) 1.80390e11 + 2.26201e11i 0.595108 + 0.746242i
\(743\) 2.51031e10 + 5.21272e10i 0.0823707 + 0.171044i 0.938086 0.346402i \(-0.112597\pi\)
−0.855715 + 0.517447i \(0.826883\pi\)
\(744\) 1.44237e11 6.31945e11i 0.470745 2.06247i
\(745\) 4.86154e10 2.34119e10i 0.157815 0.0759997i
\(746\) 1.64378e11 2.06124e11i 0.530748 0.665537i
\(747\) 9.84494e9 + 4.31335e10i 0.0316177 + 0.138526i
\(748\) −6.60285e9 2.89290e10i −0.0210923 0.0924116i
\(749\) 1.48585e11 3.08539e11i 0.472114 0.980354i
\(750\) 8.36349e10 + 6.66966e10i 0.264328 + 0.210794i
\(751\) −1.67098e11 + 1.33256e11i −0.525306 + 0.418917i −0.849906 0.526934i \(-0.823342\pi\)
0.324601 + 0.945851i \(0.394770\pi\)
\(752\) 9.08072e10 + 4.37304e10i 0.283955 + 0.136745i
\(753\) −6.38521e10 + 1.32590e11i −0.198607 + 0.412413i
\(754\) −1.22276e11 1.53329e11i −0.378317 0.474394i