Properties

Label 43.9.f.a.2.14
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 2.14
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.911670 - 1.89310i) q^{2} +(5.18580 - 10.7684i) q^{3} +(156.861 - 196.697i) q^{4} +(618.914 + 141.263i) q^{5} -25.1134 q^{6} +3955.82i q^{7} +(-1039.79 - 237.325i) q^{8} +(4001.65 + 5017.91i) q^{9} +O(q^{10})\) \(q+(-0.911670 - 1.89310i) q^{2} +(5.18580 - 10.7684i) q^{3} +(156.861 - 196.697i) q^{4} +(618.914 + 141.263i) q^{5} -25.1134 q^{6} +3955.82i q^{7} +(-1039.79 - 237.325i) q^{8} +(4001.65 + 5017.91i) q^{9} +(-296.820 - 1300.45i) q^{10} +(-8259.12 - 10356.6i) q^{11} +(-1304.67 - 2709.17i) q^{12} +(409.382 - 1793.62i) q^{13} +(7488.78 - 3606.40i) q^{14} +(4730.75 - 5932.17i) q^{15} +(-13833.0 - 60606.2i) q^{16} +(28635.5 + 125460. i) q^{17} +(5851.23 - 12150.2i) q^{18} +(145331. + 115897. i) q^{19} +(124869. - 99580.0i) q^{20} +(42598.0 + 20514.1i) q^{21} +(-12076.5 + 25077.2i) q^{22} +(48670.1 + 61030.3i) q^{23} +(-7947.76 + 9966.17i) q^{24} +(11158.6 + 5373.69i) q^{25} +(-3768.73 + 860.188i) q^{26} +(151238. - 34519.1i) q^{27} +(778099. + 620513. i) q^{28} +(-172907. - 359045. i) q^{29} +(-15543.1 - 3547.60i) q^{30} +(1.44366e6 - 695230. i) q^{31} +(-315587. + 251672. i) q^{32} +(-154355. + 35230.4i) q^{33} +(211403. - 168588. i) q^{34} +(-558812. + 2.44832e6i) q^{35} +1.61471e6 q^{36} -1.81390e6i q^{37} +(86911.8 - 380786. i) q^{38} +(-17191.5 - 13709.8i) q^{39} +(-610015. - 293768. i) q^{40} +(2.87992e6 - 1.38690e6i) q^{41} -99344.4i q^{42} +(-2.37524e6 + 2.45895e6i) q^{43} -3.33265e6 q^{44} +(1.76783e6 + 3.67094e6i) q^{45} +(71165.6 - 147777. i) q^{46} +(173580. - 217663. i) q^{47} +(-724368. - 165332. i) q^{48} -9.88374e6 q^{49} -26023.4i q^{50} +(1.49951e6 + 342253. i) q^{51} +(-288584. - 361873. i) q^{52} +(-1.20481e6 - 5.27862e6i) q^{53} +(-203227. - 254839. i) q^{54} +(-3.64868e6 - 7.57657e6i) q^{55} +(938817. - 4.11322e6i) q^{56} +(2.00169e6 - 963961. i) q^{57} +(-522074. + 654660. i) q^{58} +(185296. + 811833. i) q^{59} +(-424772. - 1.86105e6i) q^{60} +(3.63473e6 - 7.54760e6i) q^{61} +(-2.63228e6 - 2.09917e6i) q^{62} +(-1.98500e7 + 1.58298e7i) q^{63} +(-1.35740e7 - 6.53691e6i) q^{64} +(506745. - 1.05227e6i) q^{65} +(207415. + 260090. i) q^{66} +(-2.32647e7 + 2.91730e7i) q^{67} +(2.91694e7 + 1.40473e7i) q^{68} +(909594. - 207609. i) q^{69} +(5.14436e6 - 1.17417e6i) q^{70} +(-1.64643e7 - 1.31299e7i) q^{71} +(-2.97000e6 - 6.16726e6i) q^{72} +(-6.53045e6 - 1.49053e6i) q^{73} +(-3.43390e6 + 1.65368e6i) q^{74} +(115732. - 92293.5i) q^{75} +(4.55933e7 - 1.04064e7i) q^{76} +(4.09689e7 - 3.26716e7i) q^{77} +(-10281.0 + 45044.0i) q^{78} +3.09623e7 q^{79} -3.94641e7i q^{80} +(-8.95767e6 + 3.92461e7i) q^{81} +(-5.25107e6 - 4.18759e6i) q^{82} +(-2.27532e7 - 1.09573e7i) q^{83} +(1.07170e7 - 5.16104e6i) q^{84} +8.16943e7i q^{85} +(6.82047e6 + 2.25483e6i) q^{86} -4.76300e6 q^{87} +(6.12987e6 + 1.27288e7i) q^{88} +(-9.40144e6 + 1.95223e7i) q^{89} +(5.33779e6 - 6.69337e6i) q^{90} +(7.09525e6 + 1.61945e6i) q^{91} +1.96389e7 q^{92} -1.91513e7i q^{93} +(-570306. - 130169. i) q^{94} +(7.35751e7 + 9.22603e7i) q^{95} +(1.07354e6 + 4.70350e6i) q^{96} +(-1.03663e7 - 1.29990e7i) q^{97} +(9.01071e6 + 1.87109e7i) q^{98} +(1.89184e7 - 8.28871e7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.911670 1.89310i −0.0569794 0.118319i 0.870535 0.492107i \(-0.163773\pi\)
−0.927514 + 0.373788i \(0.878059\pi\)
\(3\) 5.18580 10.7684i 0.0640222 0.132943i −0.866502 0.499173i \(-0.833637\pi\)
0.930525 + 0.366230i \(0.119351\pi\)
\(4\) 156.861 196.697i 0.612737 0.768348i
\(5\) 618.914 + 141.263i 0.990263 + 0.226021i 0.686819 0.726828i \(-0.259006\pi\)
0.303444 + 0.952849i \(0.401864\pi\)
\(6\) −25.1134 −0.0193777
\(7\) 3955.82i 1.64757i 0.566900 + 0.823787i \(0.308143\pi\)
−0.566900 + 0.823787i \(0.691857\pi\)
\(8\) −1039.79 237.325i −0.253855 0.0579407i
\(9\) 4001.65 + 5017.91i 0.609915 + 0.764809i
\(10\) −296.820 1300.45i −0.0296820 0.130045i
\(11\) −8259.12 10356.6i −0.564109 0.707371i 0.415202 0.909729i \(-0.363711\pi\)
−0.979312 + 0.202358i \(0.935139\pi\)
\(12\) −1304.67 2709.17i −0.0629181 0.130651i
\(13\) 409.382 1793.62i 0.0143336 0.0627997i −0.967255 0.253805i \(-0.918318\pi\)
0.981589 + 0.191006i \(0.0611749\pi\)
\(14\) 7488.78 3606.40i 0.194939 0.0938777i
\(15\) 4730.75 5932.17i 0.0934468 0.117179i
\(16\) −13833.0 60606.2i −0.211074 0.924777i
\(17\) 28635.5 + 125460.i 0.342854 + 1.50214i 0.793020 + 0.609195i \(0.208507\pi\)
−0.450166 + 0.892945i \(0.648635\pi\)
\(18\) 5851.23 12150.2i 0.0557388 0.115743i
\(19\) 145331. + 115897.i 1.11517 + 0.889321i 0.994641 0.103388i \(-0.0329683\pi\)
0.120533 + 0.992709i \(0.461540\pi\)
\(20\) 124869. 99580.0i 0.780434 0.622375i
\(21\) 42598.0 + 20514.1i 0.219034 + 0.105481i
\(22\) −12076.5 + 25077.2i −0.0515527 + 0.107050i
\(23\) 48670.1 + 61030.3i 0.173920 + 0.218089i 0.861150 0.508351i \(-0.169745\pi\)
−0.687229 + 0.726440i \(0.741173\pi\)
\(24\) −7947.76 + 9966.17i −0.0239552 + 0.0300389i
\(25\) 11158.6 + 5373.69i 0.0285660 + 0.0137566i
\(26\) −3768.73 + 860.188i −0.00824711 + 0.00188235i
\(27\) 151238. 34519.1i 0.284581 0.0649538i
\(28\) 778099. + 620513.i 1.26591 + 1.00953i
\(29\) −172907. 359045.i −0.244467 0.507641i 0.742243 0.670130i \(-0.233762\pi\)
−0.986710 + 0.162490i \(0.948048\pi\)
\(30\) −15543.1 3547.60i −0.0191890 0.00437976i
\(31\) 1.44366e6 695230.i 1.56321 0.752804i 0.565790 0.824549i \(-0.308571\pi\)
0.997423 + 0.0717455i \(0.0228569\pi\)
\(32\) −315587. + 251672.i −0.300967 + 0.240014i
\(33\) −154355. + 35230.4i −0.130156 + 0.0297072i
\(34\) 211403. 168588.i 0.158196 0.126157i
\(35\) −558812. + 2.44832e6i −0.372386 + 1.63153i
\(36\) 1.61471e6 0.961357
\(37\) 1.81390e6i 0.967846i −0.875111 0.483923i \(-0.839211\pi\)
0.875111 0.483923i \(-0.160789\pi\)
\(38\) 86911.8 380786.i 0.0416816 0.182619i
\(39\) −17191.5 13709.8i −0.00743114 0.00592614i
\(40\) −610015. 293768.i −0.238287 0.114753i
\(41\) 2.87992e6 1.38690e6i 1.01917 0.490805i 0.151766 0.988416i \(-0.451504\pi\)
0.867400 + 0.497612i \(0.165790\pi\)
\(42\) 99344.4i 0.0319261i
\(43\) −2.37524e6 + 2.45895e6i −0.694759 + 0.719242i
\(44\) −3.33265e6 −0.889158
\(45\) 1.76783e6 + 3.67094e6i 0.431113 + 0.895215i
\(46\) 71165.6 147777.i 0.0158942 0.0330047i
\(47\) 173580. 217663.i 0.0355721 0.0446060i −0.763727 0.645539i \(-0.776633\pi\)
0.799299 + 0.600933i \(0.205204\pi\)
\(48\) −724368. 165332.i −0.136457 0.0311453i
\(49\) −9.88374e6 −1.71450
\(50\) 26023.4i 0.00416374i
\(51\) 1.49951e6 + 342253.i 0.221650 + 0.0505902i
\(52\) −288584. 361873.i −0.0394693 0.0494929i
\(53\) −1.20481e6 5.27862e6i −0.152692 0.668986i −0.992096 0.125479i \(-0.959953\pi\)
0.839405 0.543507i \(-0.182904\pi\)
\(54\) −203227. 254839.i −0.0239005 0.0299703i
\(55\) −3.64868e6 7.57657e6i −0.398736 0.827983i
\(56\) 938817. 4.11322e6i 0.0954616 0.418245i
\(57\) 2.00169e6 963961.i 0.189625 0.0913188i
\(58\) −522074. + 654660.i −0.0461339 + 0.0578501i
\(59\) 185296. + 811833.i 0.0152918 + 0.0669975i 0.981998 0.188891i \(-0.0604892\pi\)
−0.966706 + 0.255888i \(0.917632\pi\)
\(60\) −424772. 1.86105e6i −0.0327756 0.143599i
\(61\) 3.63473e6 7.54760e6i 0.262515 0.545117i −0.727496 0.686112i \(-0.759316\pi\)
0.990010 + 0.140995i \(0.0450302\pi\)
\(62\) −2.63228e6 2.09917e6i −0.178142 0.142063i
\(63\) −1.98500e7 + 1.58298e7i −1.26008 + 1.00488i
\(64\) −1.35740e7 6.53691e6i −0.809075 0.389630i
\(65\) 506745. 1.05227e6i 0.0283881 0.0589485i
\(66\) 207415. + 260090.i 0.0109311 + 0.0137072i
\(67\) −2.32647e7 + 2.91730e7i −1.15451 + 1.44771i −0.281797 + 0.959474i \(0.590930\pi\)
−0.872713 + 0.488234i \(0.837641\pi\)
\(68\) 2.91694e7 + 1.40473e7i 1.36425 + 0.656986i
\(69\) 909594. 207609.i 0.0401283 0.00915903i
\(70\) 5.14436e6 1.17417e6i 0.214259 0.0489033i
\(71\) −1.64643e7 1.31299e7i −0.647904 0.516687i 0.243497 0.969902i \(-0.421705\pi\)
−0.891401 + 0.453215i \(0.850277\pi\)
\(72\) −2.97000e6 6.16726e6i −0.110516 0.229489i
\(73\) −6.53045e6 1.49053e6i −0.229960 0.0524868i 0.105988 0.994367i \(-0.466199\pi\)
−0.335948 + 0.941881i \(0.609057\pi\)
\(74\) −3.43390e6 + 1.65368e6i −0.114514 + 0.0551472i
\(75\) 115732. 92293.5i 0.00365771 0.00291693i
\(76\) 4.55933e7 1.04064e7i 1.36662 0.311921i
\(77\) 4.09689e7 3.26716e7i 1.16545 0.929412i
\(78\) −10281.0 + 45044.0i −0.000277752 + 0.00121691i
\(79\) 3.09623e7 0.794922 0.397461 0.917619i \(-0.369891\pi\)
0.397461 + 0.917619i \(0.369891\pi\)
\(80\) 3.94641e7i 0.963480i
\(81\) −8.95767e6 + 3.92461e7i −0.208092 + 0.911709i
\(82\) −5.25107e6 4.18759e6i −0.116143 0.0926208i
\(83\) −2.27532e7 1.09573e7i −0.479435 0.230884i 0.178527 0.983935i \(-0.442867\pi\)
−0.657962 + 0.753051i \(0.728581\pi\)
\(84\) 1.07170e7 5.16104e6i 0.215257 0.103662i
\(85\) 8.16943e7i 1.56501i
\(86\) 6.82047e6 + 2.25483e6i 0.124687 + 0.0412212i
\(87\) −4.76300e6 −0.0831388
\(88\) 6.12987e6 + 1.27288e7i 0.102216 + 0.212254i
\(89\) −9.40144e6 + 1.95223e7i −0.149842 + 0.311151i −0.962356 0.271791i \(-0.912384\pi\)
0.812514 + 0.582942i \(0.198098\pi\)
\(90\) 5.33779e6 6.69337e6i 0.0813563 0.102018i
\(91\) 7.09525e6 + 1.61945e6i 0.103467 + 0.0236157i
\(92\) 1.96389e7 0.274136
\(93\) 1.91513e7i 0.256015i
\(94\) −570306. 130169.i −0.00730461 0.00166723i
\(95\) 7.35751e7 + 9.22603e7i 0.903310 + 1.13271i
\(96\) 1.07354e6 + 4.70350e6i 0.0126396 + 0.0553779i
\(97\) −1.03663e7 1.29990e7i −0.117095 0.146832i 0.719829 0.694151i \(-0.244220\pi\)
−0.836924 + 0.547319i \(0.815649\pi\)
\(98\) 9.01071e6 + 1.87109e7i 0.0976910 + 0.202858i
\(99\) 1.89184e7 8.28871e7i 0.196945 0.862872i
\(100\) 2.80733e6 1.35194e6i 0.0280733 0.0135194i
\(101\) 7.99463e7 1.00250e8i 0.768268 0.963378i −0.231687 0.972790i \(-0.574425\pi\)
0.999956 + 0.00941217i \(0.00299603\pi\)
\(102\) −719136. 3.15074e6i −0.00664370 0.0291080i
\(103\) 3.46549e7 + 1.51833e8i 0.307905 + 1.34902i 0.857885 + 0.513841i \(0.171778\pi\)
−0.549981 + 0.835177i \(0.685365\pi\)
\(104\) −851343. + 1.76783e6i −0.00727732 + 0.0151115i
\(105\) 2.34666e7 + 1.87140e7i 0.193060 + 0.153961i
\(106\) −8.89457e6 + 7.09319e6i −0.0704534 + 0.0561847i
\(107\) −3.62068e7 1.74363e7i −0.276220 0.133020i 0.290646 0.956831i \(-0.406130\pi\)
−0.566866 + 0.823810i \(0.691844\pi\)
\(108\) 1.69335e7 3.51628e7i 0.124466 0.258457i
\(109\) −7.62500e7 9.56145e7i −0.540174 0.677357i 0.434581 0.900633i \(-0.356896\pi\)
−0.974755 + 0.223276i \(0.928325\pi\)
\(110\) −1.10168e7 + 1.38147e7i −0.0752463 + 0.0943559i
\(111\) −1.95328e7 9.40652e6i −0.128669 0.0619636i
\(112\) 2.39747e8 5.47208e7i 1.52364 0.347760i
\(113\) −2.23613e8 + 5.10383e7i −1.37146 + 0.313027i −0.843905 0.536493i \(-0.819749\pi\)
−0.527557 + 0.849520i \(0.676892\pi\)
\(114\) −3.64975e6 2.91058e6i −0.0216095 0.0172330i
\(115\) 2.15013e7 + 4.46478e7i 0.122934 + 0.255275i
\(116\) −9.77453e7 2.23097e7i −0.539839 0.123215i
\(117\) 1.06384e7 5.12320e6i 0.0567720 0.0273400i
\(118\) 1.36795e6 1.09091e6i 0.00705576 0.00562678i
\(119\) −4.96299e8 + 1.13277e8i −2.47489 + 0.564877i
\(120\) −6.32683e6 + 5.04548e6i −0.0305113 + 0.0243320i
\(121\) 8.65301e6 3.79113e7i 0.0403669 0.176859i
\(122\) −1.76021e7 −0.0794555
\(123\) 3.82044e7i 0.166914i
\(124\) 8.97038e7 3.93018e8i 0.379423 1.66236i
\(125\) −1.87732e8 1.49711e8i −0.768951 0.613218i
\(126\) 4.80641e7 + 2.31464e7i 0.190695 + 0.0918337i
\(127\) 1.88581e8 9.08160e7i 0.724910 0.349098i −0.0347703 0.999395i \(-0.511070\pi\)
0.759680 + 0.650297i \(0.225356\pi\)
\(128\) 1.34991e8i 0.502882i
\(129\) 1.41614e7 + 3.83292e7i 0.0511385 + 0.138411i
\(130\) −2.45403e6 −0.00859225
\(131\) −8.60610e7 1.78707e8i −0.292227 0.606817i 0.702231 0.711949i \(-0.252188\pi\)
−0.994458 + 0.105133i \(0.966473\pi\)
\(132\) −1.72824e7 + 3.58874e7i −0.0569258 + 0.118208i
\(133\) −4.58469e8 + 5.74902e8i −1.46522 + 1.83733i
\(134\) 7.64370e7 + 1.74463e7i 0.237074 + 0.0541107i
\(135\) 9.84796e7 0.296491
\(136\) 1.37248e8i 0.401191i
\(137\) −4.64092e8 1.05926e8i −1.31741 0.300691i −0.494658 0.869088i \(-0.664707\pi\)
−0.822755 + 0.568397i \(0.807564\pi\)
\(138\) −1.22227e6 1.53268e6i −0.00337017 0.00422606i
\(139\) 9.77592e7 + 4.28311e8i 0.261878 + 1.14736i 0.919212 + 0.393762i \(0.128827\pi\)
−0.657335 + 0.753599i \(0.728316\pi\)
\(140\) 3.93921e8 + 4.93961e8i 1.02541 + 1.28582i
\(141\) −1.44373e6 2.99794e6i −0.00365267 0.00758485i
\(142\) −9.84614e6 + 4.31388e7i −0.0242166 + 0.106100i
\(143\) −2.19570e7 + 1.05739e7i −0.0525084 + 0.0252867i
\(144\) 2.48762e8 3.11937e8i 0.578540 0.725467i
\(145\) −5.62947e7 2.46643e8i −0.127349 0.557952i
\(146\) 3.13188e6 + 1.37217e7i 0.00689278 + 0.0301992i
\(147\) −5.12551e7 + 1.06432e8i −0.109766 + 0.227931i
\(148\) −3.56789e8 2.84530e8i −0.743643 0.593035i
\(149\) 6.28021e8 5.00830e8i 1.27417 1.01612i 0.275681 0.961249i \(-0.411097\pi\)
0.998493 0.0548715i \(-0.0174749\pi\)
\(150\) −280231. 134952.i −0.000553542 0.000266572i
\(151\) 6.15638e7 1.27838e8i 0.118418 0.245897i −0.833332 0.552774i \(-0.813569\pi\)
0.951749 + 0.306876i \(0.0992838\pi\)
\(152\) −1.23608e8 1.54999e8i −0.231564 0.290373i
\(153\) −5.14959e8 + 6.45738e8i −0.939738 + 1.17839i
\(154\) −9.92009e7 4.77726e7i −0.176373 0.0849369i
\(155\) 9.91712e8 2.26352e8i 1.71814 0.392155i
\(156\) −5.39334e6 + 1.23099e6i −0.00910667 + 0.00207854i
\(157\) −1.98120e8 1.57996e8i −0.326084 0.260044i 0.446740 0.894664i \(-0.352585\pi\)
−0.772824 + 0.634620i \(0.781156\pi\)
\(158\) −2.82274e7 5.86148e7i −0.0452942 0.0940543i
\(159\) −6.30903e7 1.44000e7i −0.0987129 0.0225306i
\(160\) −2.30873e8 + 1.11183e8i −0.352285 + 0.169651i
\(161\) −2.41425e8 + 1.92530e8i −0.359318 + 0.286547i
\(162\) 8.24633e7 1.88217e7i 0.119729 0.0273274i
\(163\) 5.49132e8 4.37918e8i 0.777905 0.620359i −0.151906 0.988395i \(-0.548541\pi\)
0.929811 + 0.368036i \(0.119970\pi\)
\(164\) 1.78948e8 7.84022e8i 0.247372 1.08381i
\(165\) −1.00509e8 −0.135603
\(166\) 5.30635e7i 0.0698817i
\(167\) −1.28522e8 + 5.63093e8i −0.165239 + 0.723959i 0.822618 + 0.568594i \(0.192512\pi\)
−0.987857 + 0.155365i \(0.950345\pi\)
\(168\) −3.94244e7 3.14399e7i −0.0494912 0.0394679i
\(169\) 7.31898e8 + 3.52464e8i 0.897231 + 0.432083i
\(170\) 1.54656e8 7.44782e7i 0.185170 0.0891730i
\(171\) 1.19304e9i 1.39530i
\(172\) 1.11085e8 + 8.52916e8i 0.126924 + 0.974523i
\(173\) 1.53540e9 1.71411 0.857053 0.515229i \(-0.172293\pi\)
0.857053 + 0.515229i \(0.172293\pi\)
\(174\) 4.34229e6 + 9.01685e6i 0.00473720 + 0.00983689i
\(175\) −2.12574e7 + 4.41414e7i −0.0226651 + 0.0470645i
\(176\) −5.13427e8 + 6.43817e8i −0.535091 + 0.670983i
\(177\) 9.70307e6 + 2.21466e6i 0.00988590 + 0.00225639i
\(178\) 4.55287e7 0.0453529
\(179\) 4.94325e8i 0.481504i −0.970587 0.240752i \(-0.922606\pi\)
0.970587 0.240752i \(-0.0773941\pi\)
\(180\) 9.99367e8 + 2.28099e8i 0.951996 + 0.217287i
\(181\) 6.44071e8 + 8.07640e8i 0.600095 + 0.752495i 0.985393 0.170297i \(-0.0544728\pi\)
−0.385298 + 0.922792i \(0.625901\pi\)
\(182\) −3.40275e6 1.49084e7i −0.00310131 0.0135877i
\(183\) −6.24268e7 7.82807e7i −0.0556630 0.0697992i
\(184\) −3.61226e7 7.50093e7i −0.0315143 0.0654401i
\(185\) 2.56237e8 1.12265e9i 0.218754 0.958422i
\(186\) −3.62553e7 + 1.74596e7i −0.0302914 + 0.0145876i
\(187\) 1.06284e9 1.33276e9i 0.869163 1.08990i
\(188\) −1.55857e7 6.82856e7i −0.0124766 0.0546635i
\(189\) 1.36551e8 + 5.98271e8i 0.107016 + 0.468868i
\(190\) 1.07582e8 2.23396e8i 0.0825515 0.171420i
\(191\) −1.58912e9 1.26728e9i −1.19405 0.952227i −0.194466 0.980909i \(-0.562297\pi\)
−0.999589 + 0.0286825i \(0.990869\pi\)
\(192\) −1.40784e8 + 1.12272e8i −0.103598 + 0.0826163i
\(193\) 3.58160e7 + 1.72481e7i 0.0258136 + 0.0124312i 0.446746 0.894661i \(-0.352583\pi\)
−0.420932 + 0.907092i \(0.638297\pi\)
\(194\) −1.51577e7 + 3.14752e7i −0.0107010 + 0.0222209i
\(195\) −8.70338e6 1.09137e7i −0.00601935 0.00754802i
\(196\) −1.55037e9 + 1.94410e9i −1.05054 + 1.31733i
\(197\) −2.28061e9 1.09828e9i −1.51421 0.729205i −0.521902 0.853005i \(-0.674777\pi\)
−0.992307 + 0.123800i \(0.960492\pi\)
\(198\) −1.74161e8 + 3.97511e7i −0.113316 + 0.0258636i
\(199\) −2.68657e9 + 6.13193e8i −1.71311 + 0.391007i −0.962830 0.270108i \(-0.912941\pi\)
−0.750284 + 0.661115i \(0.770083\pi\)
\(200\) −1.03273e7 8.23572e6i −0.00645454 0.00514733i
\(201\) 1.93501e8 + 4.01809e8i 0.118549 + 0.246170i
\(202\) −2.62667e8 5.99521e7i −0.157761 0.0360080i
\(203\) 1.42032e9 6.83989e8i 0.836375 0.402777i
\(204\) 3.02534e8 2.41263e8i 0.174684 0.139306i
\(205\) 1.97834e9 4.51543e8i 1.12017 0.255673i
\(206\) 2.55842e8 2.04027e8i 0.142070 0.113297i
\(207\) −1.11484e8 + 4.88444e8i −0.0607200 + 0.266032i
\(208\) −1.14368e8 −0.0611012
\(209\) 2.46234e9i 1.29052i
\(210\) 1.40337e7 6.14857e7i 0.00721597 0.0316153i
\(211\) −1.34352e9 1.07142e9i −0.677818 0.540542i 0.222957 0.974828i \(-0.428429\pi\)
−0.900775 + 0.434287i \(0.857000\pi\)
\(212\) −1.22728e9 5.91025e8i −0.607574 0.292592i
\(213\) −2.26769e8 + 1.09206e8i −0.110170 + 0.0530553i
\(214\) 8.44392e7i 0.0402614i
\(215\) −1.81743e9 + 1.18634e9i −0.850558 + 0.555209i
\(216\) −1.65448e8 −0.0760057
\(217\) 2.75021e9 + 5.71087e9i 1.24030 + 2.57551i
\(218\) −1.11493e8 + 2.31518e8i −0.0493653 + 0.102508i
\(219\) −4.99163e7 + 6.25930e7i −0.0217003 + 0.0272113i
\(220\) −2.06262e9 4.70780e8i −0.880500 0.200968i
\(221\) 2.36751e8 0.0992483
\(222\) 4.55533e7i 0.0187546i
\(223\) 8.71599e8 + 1.98937e8i 0.352450 + 0.0804444i 0.395080 0.918647i \(-0.370717\pi\)
−0.0426306 + 0.999091i \(0.513574\pi\)
\(224\) −9.95572e8 1.24841e9i −0.395440 0.495866i
\(225\) 1.76881e7 + 7.74964e7i 0.00690160 + 0.0302379i
\(226\) 3.00482e8 + 3.76792e8i 0.115182 + 0.144434i
\(227\) −1.74370e9 3.62082e9i −0.656700 1.36365i −0.917297 0.398205i \(-0.869633\pi\)
0.260596 0.965448i \(-0.416081\pi\)
\(228\) 1.24377e8 5.44933e8i 0.0460259 0.201653i
\(229\) 6.03550e8 2.90654e8i 0.219468 0.105690i −0.320920 0.947106i \(-0.603992\pi\)
0.540388 + 0.841416i \(0.318278\pi\)
\(230\) 6.49208e7 8.14082e7i 0.0231992 0.0290909i
\(231\) −1.39365e8 6.10599e8i −0.0489448 0.214441i
\(232\) 9.45763e7 + 4.14366e8i 0.0326460 + 0.143032i
\(233\) 1.00857e9 2.09431e9i 0.342201 0.710588i −0.656855 0.754017i \(-0.728114\pi\)
0.999057 + 0.0434285i \(0.0138281\pi\)
\(234\) −1.93975e7 1.54690e7i −0.00646967 0.00515939i
\(235\) 1.38179e8 1.10194e8i 0.0453076 0.0361316i
\(236\) 1.88751e8 + 9.08976e7i 0.0608473 + 0.0293025i
\(237\) 1.60564e8 3.33415e8i 0.0508927 0.105680i
\(238\) 6.66905e8 + 8.36273e8i 0.207853 + 0.260639i
\(239\) −3.77814e9 + 4.73764e9i −1.15794 + 1.45201i −0.288843 + 0.957377i \(0.593271\pi\)
−0.869099 + 0.494637i \(0.835301\pi\)
\(240\) −4.24966e8 2.04653e8i −0.128088 0.0616841i
\(241\) 2.51000e9 5.72891e8i 0.744056 0.169826i 0.166345 0.986068i \(-0.446803\pi\)
0.577711 + 0.816242i \(0.303946\pi\)
\(242\) −7.96586e7 + 1.81816e7i −0.0232258 + 0.00530115i
\(243\) 1.17191e9 + 9.34564e8i 0.336100 + 0.268030i
\(244\) −9.14445e8 1.89886e9i −0.257987 0.535716i
\(245\) −6.11719e9 1.39621e9i −1.69780 0.387513i
\(246\) −7.23247e7 + 3.48298e7i −0.0197491 + 0.00951065i
\(247\) 2.67372e8 2.13222e8i 0.0718336 0.0572854i
\(248\) −1.66610e9 + 3.80276e8i −0.440447 + 0.100529i
\(249\) −2.35987e8 + 1.88193e8i −0.0613889 + 0.0489560i
\(250\) −1.12269e8 + 4.91883e8i −0.0287409 + 0.125922i
\(251\) 6.56588e9 1.65424 0.827119 0.562027i \(-0.189978\pi\)
0.827119 + 0.562027i \(0.189978\pi\)
\(252\) 6.38751e9i 1.58391i
\(253\) 2.30096e8 1.00811e9i 0.0561599 0.246053i
\(254\) −3.43848e8 2.74209e8i −0.0826097 0.0658791i
\(255\) 8.79718e8 + 4.23650e8i 0.208057 + 0.100195i
\(256\) −3.21940e9 + 1.55038e9i −0.749575 + 0.360976i
\(257\) 8.52121e9i 1.95330i −0.214840 0.976649i \(-0.568923\pi\)
0.214840 0.976649i \(-0.431077\pi\)
\(258\) 5.96506e7 6.17526e7i 0.0134628 0.0139372i
\(259\) 7.17547e9 1.59460
\(260\) −1.27490e8 2.64735e8i −0.0278985 0.0579319i
\(261\) 1.10974e9 2.30440e9i 0.239144 0.496588i
\(262\) −2.59852e8 + 3.25844e8i −0.0551469 + 0.0691520i
\(263\) 3.29270e9 + 7.51537e8i 0.688223 + 0.157082i 0.552310 0.833639i \(-0.313746\pi\)
0.135912 + 0.990721i \(0.456603\pi\)
\(264\) 1.68857e8 0.0347620
\(265\) 3.43721e9i 0.696983i
\(266\) 1.50632e9 + 3.43808e8i 0.300878 + 0.0686735i
\(267\) 1.61470e8 + 2.02477e8i 0.0317722 + 0.0398411i
\(268\) 2.08893e9 + 9.15218e9i 0.404933 + 1.77413i
\(269\) 1.60193e8 + 2.00876e8i 0.0305939 + 0.0383635i 0.796893 0.604120i \(-0.206475\pi\)
−0.766299 + 0.642484i \(0.777904\pi\)
\(270\) −8.97809e7 1.86432e8i −0.0168939 0.0350805i
\(271\) −8.73895e8 + 3.82879e9i −0.162025 + 0.709878i 0.827009 + 0.562189i \(0.190041\pi\)
−0.989034 + 0.147689i \(0.952816\pi\)
\(272\) 7.20755e9 3.47097e9i 1.31678 0.634126i
\(273\) 5.42334e7 6.80066e7i 0.00976374 0.0122433i
\(274\) 2.22570e8 + 9.75143e8i 0.0394879 + 0.173008i
\(275\) −3.65069e7 1.59947e8i −0.00638328 0.0279670i
\(276\) 1.01843e8 2.11480e8i 0.0175508 0.0364446i
\(277\) 2.07429e9 + 1.65419e9i 0.352330 + 0.280974i 0.783621 0.621239i \(-0.213370\pi\)
−0.431291 + 0.902213i \(0.641942\pi\)
\(278\) 7.21712e8 5.75546e8i 0.120833 0.0963609i
\(279\) 9.26563e9 + 4.46209e9i 1.52918 + 0.736413i
\(280\) 1.16209e9 2.41311e9i 0.189064 0.392596i
\(281\) −5.97288e8 7.48976e8i −0.0957985 0.120127i 0.731622 0.681711i \(-0.238764\pi\)
−0.827420 + 0.561583i \(0.810192\pi\)
\(282\) −4.35920e6 + 5.46627e6i −0.000689304 + 0.000864360i
\(283\) −7.17859e9 3.45702e9i −1.11916 0.538960i −0.219529 0.975606i \(-0.570452\pi\)
−0.899634 + 0.436646i \(0.856166\pi\)
\(284\) −5.16522e9 + 1.17893e9i −0.793990 + 0.181223i
\(285\) 1.37504e9 3.13845e8i 0.208419 0.0475703i
\(286\) 4.00350e7 + 3.19269e7i 0.00598379 + 0.00477191i
\(287\) 5.48632e9 + 1.13925e10i 0.808637 + 1.67915i
\(288\) −2.52574e9 5.76484e8i −0.367129 0.0837948i
\(289\) −8.63534e9 + 4.15856e9i −1.23791 + 0.596145i
\(290\) −4.15598e8 + 3.31429e8i −0.0587600 + 0.0468595i
\(291\) −1.93736e8 + 4.42189e7i −0.0270171 + 0.00616647i
\(292\) −1.31755e9 + 1.05071e9i −0.181233 + 0.144528i
\(293\) 3.24765e8 1.42289e9i 0.0440655 0.193063i −0.948104 0.317959i \(-0.897002\pi\)
0.992170 + 0.124896i \(0.0398596\pi\)
\(294\) 2.48215e8 0.0332230
\(295\) 5.28631e8i 0.0698014i
\(296\) −4.30484e8 + 1.88607e9i −0.0560777 + 0.245692i
\(297\) −1.60659e9 1.28122e9i −0.206481 0.164663i
\(298\) −1.52067e9 7.32316e8i −0.192828 0.0928610i
\(299\) 1.29390e8 6.23110e7i 0.0161889 0.00779614i
\(300\) 3.72414e7i 0.00459771i
\(301\) −9.72716e9 9.39605e9i −1.18500 1.14467i
\(302\) −2.98137e8 −0.0358417
\(303\) −6.64944e8 1.38077e9i −0.0788886 0.163814i
\(304\) 5.01374e9 1.04111e10i 0.587040 1.21900i
\(305\) 3.31579e9 4.15787e9i 0.383166 0.480475i
\(306\) 1.69192e9 + 3.86170e8i 0.192972 + 0.0440446i
\(307\) 1.05204e10 1.18434 0.592172 0.805812i \(-0.298271\pi\)
0.592172 + 0.805812i \(0.298271\pi\)
\(308\) 1.31834e10i 1.46495i
\(309\) 1.81472e9 + 4.14197e8i 0.199056 + 0.0454332i
\(310\) −1.33262e9 1.67105e9i −0.144298 0.180944i
\(311\) −1.35905e9 5.95440e9i −0.145276 0.636497i −0.994160 0.107917i \(-0.965582\pi\)
0.848883 0.528580i \(-0.177275\pi\)
\(312\) 1.46219e7 + 1.83352e7i 0.00154307 + 0.00193494i
\(313\) 7.11384e9 + 1.47720e10i 0.741185 + 1.53909i 0.839152 + 0.543897i \(0.183052\pi\)
−0.0979673 + 0.995190i \(0.531234\pi\)
\(314\) −1.18481e8 + 5.19101e8i −0.0121880 + 0.0533990i
\(315\) −1.45216e10 + 6.99323e9i −1.47493 + 0.710290i
\(316\) 4.85677e9 6.09019e9i 0.487078 0.610777i
\(317\) −2.43453e9 1.06664e10i −0.241090 1.05628i −0.940027 0.341100i \(-0.889201\pi\)
0.698938 0.715183i \(-0.253657\pi\)
\(318\) 3.02569e7 + 1.32564e8i 0.00295881 + 0.0129634i
\(319\) −2.29043e9 + 4.75612e9i −0.221184 + 0.459294i
\(320\) −7.47774e9 5.96330e9i −0.713133 0.568704i
\(321\) −3.75522e8 + 2.99469e8i −0.0353684 + 0.0282054i
\(322\) 5.84579e8 + 2.81519e8i 0.0543776 + 0.0261869i
\(323\) −1.03789e10 + 2.15520e10i −0.953544 + 1.98005i
\(324\) 6.31449e9 + 7.91812e9i 0.573005 + 0.718525i
\(325\) 1.42065e7 1.78144e7i 0.00127337 0.00159675i
\(326\) −1.32965e9 6.40326e8i −0.117725 0.0566932i
\(327\) −1.42503e9 + 3.25255e8i −0.124633 + 0.0284467i
\(328\) −3.32366e9 + 7.58603e8i −0.287158 + 0.0655419i
\(329\) 8.61037e8 + 6.86654e8i 0.0734917 + 0.0586076i
\(330\) 9.16310e7 + 1.90274e8i 0.00772657 + 0.0160444i
\(331\) −7.05167e9 1.60950e9i −0.587462 0.134084i −0.0815498 0.996669i \(-0.525987\pi\)
−0.505912 + 0.862585i \(0.668844\pi\)
\(332\) −5.72436e9 + 2.75670e9i −0.471166 + 0.226902i
\(333\) 9.10198e9 7.25859e9i 0.740217 0.590303i
\(334\) 1.18316e9 2.70049e8i 0.0950732 0.0216998i
\(335\) −1.85199e10 + 1.47691e10i −1.47048 + 1.17267i
\(336\) 6.54025e8 2.86547e9i 0.0513142 0.224822i
\(337\) −5.86883e9 −0.455022 −0.227511 0.973776i \(-0.573059\pi\)
−0.227511 + 0.973776i \(0.573059\pi\)
\(338\) 1.70689e9i 0.130779i
\(339\) −6.10012e8 + 2.67264e9i −0.0461891 + 0.202368i
\(340\) 1.60690e10 + 1.28146e10i 1.20247 + 0.958937i
\(341\) −1.91236e10 9.20944e9i −1.41433 0.681108i
\(342\) 2.25854e9 1.08765e9i 0.165091 0.0795036i
\(343\) 1.62938e10i 1.17719i
\(344\) 3.05332e9 1.99308e9i 0.218041 0.142328i
\(345\) 5.92288e8 0.0418077
\(346\) −1.39978e9 2.90667e9i −0.0976686 0.202811i
\(347\) 4.94460e9 1.02676e10i 0.341046 0.708190i −0.657946 0.753065i \(-0.728575\pi\)
0.998993 + 0.0448747i \(0.0142889\pi\)
\(348\) −7.47128e8 + 9.36869e8i −0.0509422 + 0.0638795i
\(349\) −4.88077e9 1.11400e9i −0.328993 0.0750905i 0.0548341 0.998495i \(-0.482537\pi\)
−0.383827 + 0.923405i \(0.625394\pi\)
\(350\) 1.02944e8 0.00686007
\(351\) 2.85395e8i 0.0188026i
\(352\) 5.21295e9 + 1.18982e9i 0.339557 + 0.0775017i
\(353\) −9.27474e9 1.16302e10i −0.597314 0.749008i 0.387643 0.921810i \(-0.373289\pi\)
−0.984957 + 0.172802i \(0.944718\pi\)
\(354\) −4.65341e6 2.03879e7i −0.000296318 0.00129826i
\(355\) −8.33525e9 1.04521e10i −0.524814 0.658095i
\(356\) 2.36526e9 + 4.91152e9i 0.147258 + 0.305785i
\(357\) −1.35389e9 + 5.93178e9i −0.0833510 + 0.365185i
\(358\) −9.35806e8 + 4.50661e8i −0.0569710 + 0.0274358i
\(359\) 8.45762e8 1.06055e9i 0.0509179 0.0638490i −0.755720 0.654894i \(-0.772713\pi\)
0.806638 + 0.591045i \(0.201285\pi\)
\(360\) −9.66967e8 4.23656e9i −0.0575707 0.252234i
\(361\) 3.90960e9 + 1.71291e10i 0.230199 + 1.00857i
\(362\) 9.41764e8 1.95559e9i 0.0548413 0.113879i
\(363\) −3.63372e8 2.89780e8i −0.0209279 0.0166894i
\(364\) 1.43151e9 1.14159e9i 0.0815432 0.0650285i
\(365\) −3.83123e9 1.84502e9i −0.215857 0.103951i
\(366\) −9.12807e7 + 1.89546e8i −0.00508692 + 0.0105631i
\(367\) 4.20866e9 + 5.27749e9i 0.231996 + 0.290913i 0.884179 0.467148i \(-0.154718\pi\)
−0.652184 + 0.758061i \(0.726147\pi\)
\(368\) 3.02557e9 3.79394e9i 0.164974 0.206871i
\(369\) 1.84838e10 + 8.90131e9i 0.996976 + 0.480118i
\(370\) −2.35889e9 + 5.38401e8i −0.125864 + 0.0287276i
\(371\) 2.08813e10 4.76602e9i 1.10220 0.251571i
\(372\) −3.76700e9 3.00408e9i −0.196709 0.156870i
\(373\) −2.43286e9 5.05190e9i −0.125685 0.260987i 0.828626 0.559802i \(-0.189123\pi\)
−0.954311 + 0.298815i \(0.903409\pi\)
\(374\) −3.49201e9 7.97027e8i −0.178480 0.0407368i
\(375\) −2.58570e9 + 1.24521e9i −0.130753 + 0.0629674i
\(376\) −2.32144e8 + 1.85129e8i −0.0116147 + 0.00926238i
\(377\) −7.14775e8 + 1.63143e8i −0.0353838 + 0.00807611i
\(378\) 1.00810e9 8.03931e8i 0.0493782 0.0393778i
\(379\) −8.69298e9 + 3.80864e10i −0.421320 + 1.84592i 0.103390 + 0.994641i \(0.467031\pi\)
−0.524710 + 0.851281i \(0.675826\pi\)
\(380\) 2.96884e10 1.42381
\(381\) 2.50168e9i 0.118722i
\(382\) −9.50341e8 + 4.16372e9i −0.0446299 + 0.195536i
\(383\) 1.55814e10 + 1.24258e10i 0.724124 + 0.577469i 0.914666 0.404210i \(-0.132453\pi\)
−0.190543 + 0.981679i \(0.561025\pi\)
\(384\) 1.45364e9 + 7.00037e8i 0.0668548 + 0.0321956i
\(385\) 2.99716e10 1.44335e10i 1.36416 0.656947i
\(386\) 8.35279e7i 0.00376255i
\(387\) −2.18437e10 2.07892e9i −0.973827 0.0926816i
\(388\) −4.18292e9 −0.184567
\(389\) 1.76441e9 + 3.66383e9i 0.0770549 + 0.160006i 0.935937 0.352167i \(-0.114555\pi\)
−0.858882 + 0.512173i \(0.828841\pi\)
\(390\) −1.27261e7 + 2.64261e7i −0.000550095 + 0.00114228i
\(391\) −6.26319e9 + 7.85379e9i −0.267972 + 0.336026i
\(392\) 1.02770e10 + 2.34566e9i 0.435234 + 0.0993393i
\(393\) −2.37069e9 −0.0993814
\(394\) 5.31870e9i 0.220709i
\(395\) 1.91630e10 + 4.37383e9i 0.787182 + 0.179669i
\(396\) −1.33361e10 1.67229e10i −0.542310 0.680036i
\(397\) −1.74716e9 7.65481e9i −0.0703349 0.308157i 0.927508 0.373803i \(-0.121946\pi\)
−0.997843 + 0.0656458i \(0.979089\pi\)
\(398\) 3.61010e9 + 4.52693e9i 0.143876 + 0.180414i
\(399\) 3.81326e9 + 7.91832e9i 0.150454 + 0.312422i
\(400\) 1.71323e8 7.50613e8i 0.00669229 0.0293208i
\(401\) 4.43388e10 2.13524e10i 1.71477 0.825791i 0.724072 0.689724i \(-0.242268\pi\)
0.990700 0.136066i \(-0.0434460\pi\)
\(402\) 5.84256e8 7.32633e8i 0.0223717 0.0280532i
\(403\) −6.55971e8 2.87400e9i −0.0248693 0.108960i
\(404\) −7.17835e9 3.14504e10i −0.269463 1.18060i
\(405\) −1.10881e10 + 2.30246e10i −0.412131 + 0.855799i
\(406\) −2.58972e9 2.06523e9i −0.0953122 0.0760090i
\(407\) −1.87859e10 + 1.49812e10i −0.684626 + 0.545971i
\(408\) −1.47795e9 7.11741e8i −0.0533357 0.0256851i
\(409\) 1.99691e9 4.14663e9i 0.0713617 0.148184i −0.862236 0.506506i \(-0.830937\pi\)
0.933598 + 0.358322i \(0.116651\pi\)
\(410\) −2.65841e9 3.33354e9i −0.0940777 0.117970i
\(411\) −3.54734e9 + 4.44823e9i −0.124319 + 0.155891i
\(412\) 3.53011e10 + 1.70001e10i 1.22518 + 0.590016i
\(413\) −3.21147e9 + 7.32997e8i −0.110383 + 0.0251943i
\(414\) 1.02631e9 2.34249e8i 0.0349364 0.00797400i
\(415\) −1.25344e10 9.99584e9i −0.422582 0.336998i
\(416\) 3.22209e8 + 6.69074e8i 0.0107588 + 0.0223409i
\(417\) 5.11919e9 + 1.16842e9i 0.169300 + 0.0386416i
\(418\) −4.66146e9 + 2.24484e9i −0.152692 + 0.0735328i
\(419\) −1.14877e10 + 9.16111e9i −0.372714 + 0.297230i −0.791876 0.610682i \(-0.790895\pi\)
0.419162 + 0.907912i \(0.362324\pi\)
\(420\) 7.36198e9 1.68032e9i 0.236591 0.0540002i
\(421\) 2.07661e10 1.65604e10i 0.661039 0.527161i −0.234515 0.972112i \(-0.575350\pi\)
0.895555 + 0.444951i \(0.146779\pi\)
\(422\) −8.03461e8 + 3.52019e9i −0.0253346 + 0.110998i
\(423\) 1.78682e9 0.0558110
\(424\) 5.77458e9i 0.178672i
\(425\) −3.54653e8 + 1.55384e9i −0.0108705 + 0.0476266i
\(426\) 4.13476e8 + 3.29736e8i 0.0125549 + 0.0100122i
\(427\) 2.98570e10 + 1.43784e10i 0.898120 + 0.432512i
\(428\) −9.10908e9 + 4.38670e9i −0.271456 + 0.130726i
\(429\) 2.91276e8i 0.00859956i
\(430\) 3.90276e9 + 2.35903e9i 0.114156 + 0.0690016i
\(431\) −4.46892e10 −1.29507 −0.647535 0.762035i \(-0.724200\pi\)
−0.647535 + 0.762035i \(0.724200\pi\)
\(432\) −4.18414e9 8.68846e9i −0.120135 0.249464i
\(433\) −4.94187e8 + 1.02619e9i −0.0140585 + 0.0291928i −0.907880 0.419230i \(-0.862300\pi\)
0.893821 + 0.448423i \(0.148014\pi\)
\(434\) 8.30397e9 1.04128e10i 0.234060 0.293502i
\(435\) −2.94789e9 6.72837e8i −0.0823293 0.0187911i
\(436\) −3.07677e10 −0.851431
\(437\) 1.45103e10i 0.397879i
\(438\) 1.64002e8 + 3.74324e7i 0.00445608 + 0.00101707i
\(439\) 1.40170e10 + 1.75767e10i 0.377395 + 0.473238i 0.933863 0.357631i \(-0.116415\pi\)
−0.556468 + 0.830869i \(0.687844\pi\)
\(440\) 1.99575e9 + 8.74396e9i 0.0532471 + 0.233291i
\(441\) −3.95513e10 4.95957e10i −1.04570 1.31126i
\(442\) −2.15839e8 4.48194e8i −0.00565510 0.0117429i
\(443\) 1.20642e10 5.28568e10i 0.313245 1.37242i −0.535911 0.844275i \(-0.680032\pi\)
0.849156 0.528142i \(-0.177111\pi\)
\(444\) −4.91417e9 + 2.36654e9i −0.126450 + 0.0608950i
\(445\) −8.57647e9 + 1.07545e10i −0.218710 + 0.274253i
\(446\) −4.18003e8 1.83139e9i −0.0105643 0.0462851i
\(447\) −2.13636e9 9.36000e9i −0.0535111 0.234448i
\(448\) 2.58589e10 5.36965e10i 0.641944 1.33301i
\(449\) 3.39919e10 + 2.71076e10i 0.836354 + 0.666970i 0.944986 0.327112i \(-0.106075\pi\)
−0.108631 + 0.994082i \(0.534647\pi\)
\(450\) 1.30583e8 1.04136e8i 0.00318446 0.00253953i
\(451\) −3.81492e10 1.83717e10i −0.922102 0.444061i
\(452\) −2.50370e10 + 5.19900e10i −0.599832 + 1.24556i
\(453\) −1.05736e9 1.32589e9i −0.0251091 0.0314858i
\(454\) −5.26491e9 + 6.60199e9i −0.123927 + 0.155400i
\(455\) 4.16258e9 + 2.00460e9i 0.0971220 + 0.0467715i
\(456\) −2.31010e9 + 5.27266e8i −0.0534284 + 0.0121947i
\(457\) −6.19936e10 + 1.41496e10i −1.42129 + 0.324400i −0.862982 0.505235i \(-0.831406\pi\)
−0.558307 + 0.829635i \(0.688549\pi\)
\(458\) −1.10048e9 8.77601e8i −0.0250103 0.0199450i
\(459\) 8.66155e9 + 1.79859e10i 0.195139 + 0.405211i
\(460\) 1.21548e10 + 2.77425e9i 0.271467 + 0.0619605i
\(461\) −9.35640e9 + 4.50580e9i −0.207160 + 0.0997628i −0.534587 0.845114i \(-0.679533\pi\)
0.327427 + 0.944876i \(0.393818\pi\)
\(462\) −1.02887e9 + 8.20498e8i −0.0225836 + 0.0180098i
\(463\) −4.56273e9 + 1.04141e9i −0.0992889 + 0.0226620i −0.271877 0.962332i \(-0.587644\pi\)
0.172588 + 0.984994i \(0.444787\pi\)
\(464\) −1.93685e10 + 1.54459e10i −0.417854 + 0.333227i
\(465\) 2.70537e9 1.18530e10i 0.0578648 0.253522i
\(466\) −4.88423e9 −0.103574
\(467\) 1.71790e10i 0.361185i 0.983558 + 0.180592i \(0.0578014\pi\)
−0.983558 + 0.180592i \(0.942199\pi\)
\(468\) 6.61034e8 2.89618e9i 0.0137797 0.0603729i
\(469\) −1.15403e11 9.20309e10i −2.38521 1.90214i
\(470\) −3.34583e8 1.61127e8i −0.00685665 0.00330199i
\(471\) −2.72877e9 + 1.31411e9i −0.0554477 + 0.0267022i
\(472\) 8.88111e8i 0.0178937i
\(473\) 4.50838e10 + 4.29074e9i 0.900691 + 0.0857211i
\(474\) −7.77570e8 −0.0154037
\(475\) 9.98887e8 + 2.07421e9i 0.0196219 + 0.0407454i
\(476\) −5.55685e10 + 1.15389e11i −1.08243 + 2.24769i
\(477\) 2.16664e10 2.71688e10i 0.418517 0.524804i
\(478\) 1.24133e10 + 2.83325e9i 0.237779 + 0.0542716i
\(479\) 6.82393e10 1.29626 0.648130 0.761530i \(-0.275551\pi\)
0.648130 + 0.761530i \(0.275551\pi\)
\(480\) 3.06271e9i 0.0576954i
\(481\) −3.25345e9 7.42579e8i −0.0607804 0.0138727i
\(482\) −3.37283e9 4.22940e9i −0.0624894 0.0783593i
\(483\) 8.21264e8 + 3.59819e9i 0.0150902 + 0.0661144i
\(484\) −6.09973e9 7.64881e9i −0.111155 0.139384i
\(485\) −4.57959e9 9.50961e9i −0.0827674 0.171868i
\(486\) 7.00834e8 3.07055e9i 0.0125623 0.0550391i
\(487\) −2.56413e9 + 1.23482e9i −0.0455852 + 0.0219527i −0.456537 0.889704i \(-0.650911\pi\)
0.410952 + 0.911657i \(0.365196\pi\)
\(488\) −5.57059e9 + 6.98530e9i −0.0982251 + 0.123170i
\(489\) −1.86800e9 8.18425e9i −0.0326694 0.143134i
\(490\) 2.93369e9 + 1.28533e10i 0.0508897 + 0.222962i
\(491\) −4.27199e10 + 8.87087e10i −0.735028 + 1.52630i 0.111386 + 0.993777i \(0.464471\pi\)
−0.846414 + 0.532525i \(0.821243\pi\)
\(492\) −7.51469e9 5.99276e9i −0.128248 0.102274i
\(493\) 4.00946e10 3.19743e10i 0.678731 0.541270i
\(494\) −6.47405e8 3.11774e8i −0.0108710 0.00523518i
\(495\) 2.34178e10 4.86275e10i 0.390054 0.809956i
\(496\) −6.21054e10 7.78776e10i −1.02613 1.28673i
\(497\) 5.19395e10 6.51300e10i 0.851279 1.06747i
\(498\) 5.71410e8 + 2.75177e8i 0.00929032 + 0.00447398i
\(499\) 5.13340e10 1.17167e10i 0.827948 0.188974i 0.212510 0.977159i \(-0.431836\pi\)
0.615438 + 0.788185i \(0.288979\pi\)
\(500\) −5.88956e10 + 1.34425e10i −0.942329 + 0.215080i
\(501\) 5.39713e9 + 4.30407e9i 0.0856667 + 0.0683169i
\(502\) −5.98591e9 1.24299e10i −0.0942574 0.195728i
\(503\) 5.81836e10 + 1.32800e10i 0.908926 + 0.207456i 0.651328 0.758796i \(-0.274212\pi\)
0.257597 + 0.966252i \(0.417069\pi\)
\(504\) 2.43966e10 1.17488e10i 0.378101 0.182084i
\(505\) 6.36415e10 5.07524e10i 0.978531 0.780353i
\(506\) −2.11823e9 + 4.83473e8i −0.0323126 + 0.00737514i
\(507\) 7.59096e9 6.05359e9i 0.114885 0.0916180i
\(508\) 1.17178e10 5.13389e10i 0.175950 0.770888i
\(509\) −9.43063e10 −1.40498 −0.702489 0.711695i \(-0.747928\pi\)
−0.702489 + 0.711695i \(0.747928\pi\)
\(510\) 2.05162e9i 0.0303261i
\(511\) 5.89628e9 2.58333e10i 0.0864759 0.378875i
\(512\) 3.28884e10 + 2.62276e10i 0.478589 + 0.381662i
\(513\) 2.59802e10 + 1.25114e10i 0.375122 + 0.180649i
\(514\) −1.61315e10 + 7.76853e9i −0.231112 + 0.111298i
\(515\) 9.88672e10i 1.40548i
\(516\) 9.76062e9 + 3.22684e9i 0.137682 + 0.0455175i
\(517\) −3.68788e9 −0.0516195
\(518\) −6.54165e9 1.35839e10i −0.0908591 0.188671i
\(519\) 7.96228e9 1.65338e10i 0.109741 0.227879i
\(520\) −7.76638e8 + 9.73873e8i −0.0106220 + 0.0133195i
\(521\) −5.25323e10 1.19901e10i −0.712977 0.162732i −0.149377 0.988780i \(-0.547727\pi\)
−0.563600 + 0.826048i \(0.690584\pi\)
\(522\) −5.37418e9 −0.0723820
\(523\) 8.20563e10i 1.09674i 0.836234 + 0.548372i \(0.184752\pi\)
−0.836234 + 0.548372i \(0.815248\pi\)
\(524\) −4.86508e10 1.11042e10i −0.645305 0.147287i
\(525\) 3.65097e8 + 4.57817e8i 0.00480586 + 0.00602635i
\(526\) −1.57912e9 6.91856e9i −0.0206287 0.0903801i
\(527\) 1.28564e11 + 1.61214e11i 1.66677 + 2.09006i
\(528\) 4.27036e9 + 8.86750e9i 0.0549451 + 0.114095i
\(529\) 1.60699e10 7.04069e10i 0.205206 0.899068i
\(530\) −6.50698e9 + 3.13360e9i −0.0824662 + 0.0397137i
\(531\) −3.33222e9 + 4.17847e9i −0.0419136 + 0.0525580i
\(532\) 4.11658e10 + 1.80359e11i 0.513913 + 2.25160i
\(533\) −1.30858e9 5.73326e9i −0.0162140 0.0710383i
\(534\) 2.36103e8 4.90272e8i 0.00290359 0.00602937i
\(535\) −1.99458e10 1.59062e10i −0.243465 0.194157i
\(536\) 3.11138e10 2.48124e10i 0.376959 0.300615i
\(537\) −5.32309e9 2.56347e9i −0.0640128 0.0308270i
\(538\) 2.34235e8 4.86394e8i 0.00279591 0.00580577i
\(539\) 8.16311e10 + 1.02362e11i 0.967165 + 1.21279i
\(540\) 1.54476e10 1.93707e10i 0.181671 0.227808i
\(541\) −3.03728e10 1.46267e10i −0.354564 0.170749i 0.248119 0.968730i \(-0.420188\pi\)
−0.602684 + 0.797980i \(0.705902\pi\)
\(542\) 8.04498e9 1.83621e9i 0.0932240 0.0212778i
\(543\) 1.20370e10 2.74737e9i 0.138459 0.0316023i
\(544\) −4.06119e10 3.23869e10i −0.463722 0.369806i
\(545\) −3.36854e10 6.99485e10i −0.381817 0.792852i
\(546\) −1.78186e8 4.06699e7i −0.00200495 0.000457617i
\(547\) 1.45683e11 7.01570e10i 1.62727 0.783650i 0.627277 0.778796i \(-0.284169\pi\)
0.999988 0.00485369i \(-0.00154498\pi\)
\(548\) −9.36331e10 + 7.46699e10i −1.03826 + 0.827987i
\(549\) 5.24181e10 1.19641e10i 0.577022 0.131701i
\(550\) −2.69514e8 + 2.14930e8i −0.00294531 + 0.00234880i
\(551\) 1.64836e10 7.22196e10i 0.178833 0.783517i
\(552\) −9.95057e8 −0.0107175
\(553\) 1.22481e11i 1.30969i
\(554\) 1.24048e9 5.43491e9i 0.0131690 0.0576971i
\(555\) −1.07604e10 8.58110e9i −0.113411 0.0904421i
\(556\) 9.95821e10 + 4.79562e10i 1.04203 + 0.501817i
\(557\) 1.31480e11 6.33173e10i 1.36596 0.657811i 0.400002 0.916514i \(-0.369009\pi\)
0.965957 + 0.258703i \(0.0832950\pi\)
\(558\) 2.16087e10i 0.222891i
\(559\) 3.43804e9 + 5.26694e9i 0.0352098 + 0.0539400i
\(560\) 1.56113e11 1.58740
\(561\) −8.84003e9 1.83565e10i −0.0892488 0.185327i
\(562\) −8.73357e8 + 1.81355e9i −0.00875481 + 0.0181796i
\(563\) −4.84649e10 + 6.07730e10i −0.482384 + 0.604891i −0.962155 0.272503i \(-0.912149\pi\)
0.479770 + 0.877394i \(0.340720\pi\)
\(564\) −8.16152e8 1.86281e8i −0.00806593 0.00184100i
\(565\) −1.45607e11 −1.42886
\(566\) 1.67415e10i 0.163128i
\(567\) −1.55251e11 3.54350e10i −1.50211 0.342846i
\(568\) 1.40034e10 + 1.75597e10i 0.134536 + 0.168703i
\(569\) −3.93193e9 1.72269e10i −0.0375109 0.164346i 0.952703 0.303902i \(-0.0982896\pi\)
−0.990214 + 0.139556i \(0.955432\pi\)
\(570\) −1.84773e9 2.31697e9i −0.0175040 0.0219494i
\(571\) −4.58575e10 9.52242e10i −0.431386 0.895783i −0.997446 0.0714189i \(-0.977247\pi\)
0.566060 0.824364i \(-0.308467\pi\)
\(572\) −1.36433e9 + 5.97751e9i −0.0127448 + 0.0558388i
\(573\) −2.18875e10 + 1.05405e10i −0.203038 + 0.0977781i
\(574\) 1.65654e10 2.07723e10i 0.152600 0.191354i
\(575\) 2.15131e8 + 9.42550e8i 0.00196803 + 0.00862250i
\(576\) −2.15169e10 9.42717e10i −0.195474 0.856429i
\(577\) 3.74335e10 7.77316e10i 0.337721 0.701284i −0.661076 0.750319i \(-0.729900\pi\)
0.998797 + 0.0490344i \(0.0156144\pi\)
\(578\) 1.57452e10 + 1.25563e10i 0.141070 + 0.112500i
\(579\) 3.71469e8 2.96237e8i 0.00330528 0.00263587i
\(580\) −5.73444e10 2.76156e10i −0.506733 0.244030i
\(581\) 4.33453e10 9.00075e10i 0.380398 0.789904i
\(582\) 2.60334e8 + 3.26449e8i 0.00226902 + 0.00284527i
\(583\) −4.47179e10 + 5.60745e10i −0.387086 + 0.485391i
\(584\) 6.43655e9 + 3.09968e9i 0.0553353 + 0.0266481i
\(585\) 7.30800e9 1.66800e9i 0.0623986 0.0142421i
\(586\) −2.98975e9 + 6.82391e8i −0.0253539 + 0.00578685i
\(587\) 5.38668e10 + 4.29573e10i 0.453700 + 0.361814i 0.823518 0.567291i \(-0.192008\pi\)
−0.369818 + 0.929104i \(0.620580\pi\)
\(588\) 1.28950e10 + 2.67768e10i 0.107873 + 0.224001i
\(589\) 2.90383e11 + 6.62781e10i 2.41274 + 0.550692i
\(590\) 1.00075e9 4.81937e8i 0.00825882 0.00397724i
\(591\) −2.36536e10 + 1.88631e10i −0.193886 + 0.154619i
\(592\) −1.09934e11 + 2.50916e10i −0.895042 + 0.204287i
\(593\) −1.13445e11 + 9.04690e10i −0.917413 + 0.731612i −0.963608 0.267320i \(-0.913862\pi\)
0.0461950 + 0.998932i \(0.485290\pi\)
\(594\) −9.60789e8 + 4.20949e9i −0.00771760 + 0.0338130i
\(595\) −3.23168e11 −2.57846
\(596\) 2.02090e11i 1.60162i
\(597\) −7.32891e9 + 3.21100e10i −0.0576955 + 0.252781i
\(598\) −2.35922e8 1.88141e8i −0.00184486 0.00147123i
\(599\) 1.31920e10 + 6.35292e9i 0.102471 + 0.0493476i 0.484417 0.874837i \(-0.339032\pi\)
−0.381946 + 0.924185i \(0.624746\pi\)
\(600\) −1.42241e8 + 6.84996e7i −0.00109754 + 0.000528546i
\(601\) 3.78059e10i 0.289775i 0.989448 + 0.144888i \(0.0462821\pi\)
−0.989448 + 0.144888i \(0.953718\pi\)
\(602\) −8.91972e9 + 2.69806e10i −0.0679149 + 0.205431i
\(603\) −2.39484e11 −1.81137
\(604\) −1.54885e10 3.21622e10i −0.116376 0.241657i
\(605\) 1.07109e10 2.22415e10i 0.0799477 0.166013i
\(606\) −2.00773e9 + 2.51761e9i −0.0148872 + 0.0186680i
\(607\) 9.64170e9 + 2.20066e9i 0.0710230 + 0.0162105i 0.257885 0.966176i \(-0.416975\pi\)
−0.186862 + 0.982386i \(0.559832\pi\)
\(608\) −7.50326e10 −0.549080
\(609\) 1.88416e10i 0.136977i
\(610\) −1.08942e10 2.48652e9i −0.0786818 0.0179586i
\(611\) −3.19344e8 4.00445e8i −0.00229137 0.00287328i
\(612\) 4.62380e10 + 2.02582e11i 0.329605 + 1.44409i
\(613\) 9.32506e10 + 1.16933e11i 0.660404 + 0.828120i 0.993387 0.114812i \(-0.0366267\pi\)
−0.332983 + 0.942933i \(0.608055\pi\)
\(614\) −9.59111e9 1.99161e10i −0.0674832 0.140130i
\(615\) 5.39687e9 2.36452e10i 0.0377260 0.165289i
\(616\) −5.03529e10 + 2.42487e10i −0.349705 + 0.168409i
\(617\) −1.48583e10 + 1.86318e10i −0.102525 + 0.128562i −0.830447 0.557098i \(-0.811915\pi\)
0.727922 + 0.685660i \(0.240486\pi\)
\(618\) −8.70305e8 3.81306e9i −0.00596647 0.0261408i
\(619\) 3.21364e9 + 1.40799e10i 0.0218895 + 0.0959040i 0.984693 0.174300i \(-0.0557661\pi\)
−0.962803 + 0.270204i \(0.912909\pi\)
\(620\) 1.11038e11 2.30573e11i 0.751458 1.56042i
\(621\) 9.46748e9 + 7.55006e9i 0.0636602 + 0.0507673i
\(622\) −1.00333e10 + 8.00127e9i −0.0670319 + 0.0534561i
\(623\) −7.72268e10 3.71904e10i −0.512644 0.246876i
\(624\) −5.93087e8 + 1.23156e9i −0.00391183 + 0.00812300i
\(625\) −9.80578e10 1.22961e11i −0.642631 0.805834i
\(626\) 2.14795e10 2.69344e10i 0.139871 0.175392i
\(627\) −2.65155e10 1.27692e10i −0.171566 0.0826217i
\(628\) −6.21545e10 + 1.41864e10i −0.399608 + 0.0912079i
\(629\) 2.27572e11 5.19419e10i 1.45384 0.331830i
\(630\) 2.64778e10 + 2.11153e10i 0.168081 + 0.134040i
\(631\) 4.62451e10 + 9.60290e10i 0.291708 + 0.605738i 0.994391 0.105765i \(-0.0337291\pi\)
−0.702683 + 0.711503i \(0.748015\pi\)
\(632\) −3.21943e10 7.34813e9i −0.201795 0.0460584i
\(633\) −1.85047e10 + 8.91138e9i −0.115257 + 0.0555048i
\(634\) −1.79731e10 + 1.43330e10i −0.111241 + 0.0887117i
\(635\) 1.29545e11 2.95677e10i 0.796754 0.181854i
\(636\) −1.27288e10 + 1.01509e10i −0.0777964 + 0.0620406i
\(637\) −4.04623e9 + 1.77277e10i −0.0245750 + 0.107670i
\(638\) 1.10919e10 0.0669460
\(639\) 1.35158e11i 0.810658i
\(640\) −1.90693e10 + 8.35480e10i −0.113662 + 0.497985i
\(641\) −2.48835e11 1.98439e11i −1.47394 1.17543i −0.945133 0.326685i \(-0.894068\pi\)
−0.528806 0.848743i \(-0.677360\pi\)
\(642\) 9.09277e8 + 4.37885e8i 0.00535249 + 0.00257762i
\(643\) −8.27322e10 + 3.98417e10i −0.483984 + 0.233074i −0.659932 0.751325i \(-0.729415\pi\)
0.175948 + 0.984399i \(0.443701\pi\)
\(644\) 7.76881e10i 0.451659i
\(645\) 3.35021e9 + 2.57230e10i 0.0193568 + 0.148622i
\(646\) 5.02622e10 0.288610
\(647\) 1.05242e11 + 2.18538e11i 0.600584 + 1.24713i 0.950611 + 0.310386i \(0.100458\pi\)
−0.350027 + 0.936740i \(0.613828\pi\)
\(648\) 1.86282e10 3.86818e10i 0.105650 0.219385i
\(649\) 6.87747e9 8.62407e9i 0.0387659 0.0486109i
\(650\) −4.66761e7 1.06535e7i −0.000261481 5.96814e-5i
\(651\) 7.57590e10 0.421804
\(652\) 1.76705e11i 0.977819i
\(653\) 9.90927e10 + 2.26173e10i 0.544991 + 0.124391i 0.486148 0.873877i \(-0.338402\pi\)
0.0588431 + 0.998267i \(0.481259\pi\)
\(654\) 1.91490e9 + 2.40121e9i 0.0104673 + 0.0131256i
\(655\) −2.80196e10 1.22762e11i −0.152229 0.666957i
\(656\) −1.23892e11 1.55356e11i −0.669005 0.838905i
\(657\) −1.86532e10 3.87338e10i −0.100113 0.207888i
\(658\) 5.14924e8 2.25603e9i 0.00274688 0.0120349i
\(659\) −1.99453e11 + 9.60516e10i −1.05755 + 0.509287i −0.880073 0.474838i \(-0.842507\pi\)
−0.177473 + 0.984126i \(0.556792\pi\)
\(660\) −1.57659e10 + 1.97698e10i −0.0830890 + 0.104190i
\(661\) 1.91406e10 + 8.38604e10i 0.100265 + 0.439290i 0.999996 + 0.00284469i \(0.000905494\pi\)
−0.899731 + 0.436445i \(0.856237\pi\)
\(662\) 3.38185e9 + 1.48169e10i 0.0176085 + 0.0771479i
\(663\) 1.22774e9 2.54944e9i 0.00635409 0.0131944i
\(664\) 2.10580e10 + 1.67932e10i 0.108329 + 0.0863897i
\(665\) −3.64966e11 + 2.91050e11i −1.86623 + 1.48827i
\(666\) −2.20393e10 1.06135e10i −0.112021 0.0539465i
\(667\) 1.34972e10 2.80273e10i 0.0681932 0.141605i
\(668\) 9.05986e10 + 1.13607e11i 0.455004 + 0.570557i
\(669\) 6.66217e9 8.35410e9i 0.0332592 0.0417057i
\(670\) 4.48435e10 + 2.15955e10i 0.222536 + 0.107168i
\(671\) −1.08187e11 + 2.46931e10i −0.533687 + 0.121811i
\(672\) −1.86062e10 + 4.24675e9i −0.0912391 + 0.0208247i
\(673\) −4.99761e10 3.98546e10i −0.243614 0.194276i 0.494069 0.869422i \(-0.335509\pi\)
−0.737683 + 0.675147i \(0.764080\pi\)
\(674\) 5.35044e9 + 1.11103e10i 0.0259268 + 0.0538376i
\(675\) 1.87310e9 + 4.27522e8i 0.00902288 + 0.00205941i
\(676\) 1.84135e11 8.86746e10i 0.881757 0.424632i
\(677\) 4.06107e10 3.23859e10i 0.193324 0.154171i −0.522044 0.852918i \(-0.674830\pi\)
0.715368 + 0.698748i \(0.246259\pi\)
\(678\) 5.61570e9 1.28175e9i 0.0265757 0.00606574i
\(679\) 5.14216e10 4.10073e10i 0.241917 0.192922i
\(680\) 1.93881e10 8.49448e10i 0.0906775 0.397284i
\(681\) −4.80330e10 −0.223332
\(682\) 4.45989e10i 0.206151i
\(683\) 4.69879e10 2.05867e11i 0.215925 0.946029i −0.744529 0.667590i \(-0.767326\pi\)
0.960454 0.278439i \(-0.0898170\pi\)
\(684\) 2.34667e11 + 1.87140e11i 1.07208 + 0.854955i
\(685\) −2.72270e11 1.31118e11i −1.23662 0.595526i
\(686\) −3.08458e10 + 1.48546e10i −0.139284 + 0.0670755i
\(687\) 8.00656e9i 0.0359434i
\(688\) 1.81884e11 + 1.09940e11i 0.811785 + 0.490684i
\(689\) −9.96108e9 −0.0442007
\(690\) −5.39971e8 1.12126e9i −0.00238218 0.00494664i
\(691\) 1.26539e11 2.62762e11i 0.555026 1.15252i −0.415067 0.909791i \(-0.636242\pi\)
0.970093 0.242733i \(-0.0780439\pi\)
\(692\) 2.40844e11 3.02009e11i 1.05030 1.31703i
\(693\) 3.27887e11 + 7.48380e10i 1.42164 + 0.324481i
\(694\) −2.39454e10 −0.103225
\(695\) 2.78897e11i 1.19538i
\(696\) 4.95252e9 + 1.13038e9i 0.0211052 + 0.00481712i
\(697\) 2.56468e11 + 3.21601e11i 1.08668 + 1.36266i
\(698\) 2.34073e9 + 1.02554e10i 0.00986118 + 0.0432047i
\(699\) −1.73222e10 2.17214e10i −0.0725596 0.0909868i
\(700\) 5.34804e9 + 1.11053e10i 0.0222742 + 0.0462529i
\(701\) 9.90954e9 4.34165e10i 0.0410376 0.179797i −0.950255 0.311472i \(-0.899178\pi\)
0.991293 + 0.131674i \(0.0420353\pi\)
\(702\) −5.40282e8 + 2.60186e8i −0.00222470 + 0.00107136i
\(703\) 2.10226e11 2.63615e11i 0.860726 1.07932i
\(704\) 4.44094e10 + 1.94570e11i 0.180794 + 0.792110i
\(705\) −4.70048e8 2.05942e9i −0.00190277 0.00833658i
\(706\) −1.35616e10 + 2.81609e10i −0.0545872 + 0.113352i
\(707\) 3.96569e11 + 3.16254e11i 1.58724 + 1.26578i
\(708\) 1.95765e9 1.56117e9i 0.00779115 0.00621323i
\(709\) 2.33677e10 + 1.12533e10i 0.0924764 + 0.0445343i 0.479550 0.877514i \(-0.340800\pi\)
−0.387074 + 0.922049i \(0.626514\pi\)
\(710\) −1.21878e10 + 2.53083e10i −0.0479616 + 0.0995932i
\(711\) 1.23900e11 + 1.55366e11i 0.484835 + 0.607964i
\(712\) 1.44086e10 1.80679e10i 0.0560665 0.0703051i
\(713\) 1.12693e11 + 5.42702e10i 0.436053 + 0.209992i
\(714\) 1.24638e10 2.84477e9i 0.0479575 0.0109460i
\(715\) −1.50832e10 + 3.44264e9i −0.0577124 + 0.0131725i
\(716\) −9.72322e10 7.75401e10i −0.369963 0.295035i
\(717\) 3.14242e10 + 6.52531e10i 0.118902 + 0.246902i
\(718\) −2.77879e9 6.34240e8i −0.0104558 0.00238647i
\(719\) −4.80951e11 + 2.31614e11i −1.79964 + 0.866659i −0.877899 + 0.478845i \(0.841055\pi\)
−0.921738 + 0.387814i \(0.873230\pi\)
\(720\) 1.98027e11 1.57922e11i 0.736878 0.587640i
\(721\) −6.00625e11 + 1.37089e11i −2.22261 + 0.507296i
\(722\) 2.88628e10 2.30173e10i 0.106216 0.0847044i
\(723\) 6.84722e9 2.99996e10i 0.0250588 0.109790i
\(724\) 2.59890e11 0.945878
\(725\) 4.93558e9i 0.0178643i
\(726\) −2.17307e8 + 9.52084e8i −0.000782216 + 0.00342711i
\(727\) 9.22460e10 + 7.35637e10i 0.330225 + 0.263346i 0.774540 0.632525i \(-0.217981\pi\)
−0.444315 + 0.895871i \(0.646553\pi\)
\(728\) −6.99323e9 3.36776e9i −0.0248973 0.0119899i
\(729\) −2.21819e11 + 1.06822e11i −0.785395 + 0.378226i
\(730\) 8.93496e9i 0.0314631i
\(731\) −3.76516e11 2.27586e11i −1.31860 0.797031i
\(732\) −2.51899e10 −0.0877368
\(733\) 1.39664e11 + 2.90016e11i 0.483804 + 1.00463i 0.989849 + 0.142122i \(0.0453926\pi\)
−0.506045 + 0.862507i \(0.668893\pi\)
\(734\) 6.15392e9 1.27788e10i 0.0212016 0.0440255i
\(735\) −4.67575e10 + 5.86320e10i −0.160214 + 0.200903i
\(736\) −3.07193e10 7.01148e9i −0.104689 0.0238945i
\(737\) 4.94279e11 1.67534
\(738\) 4.31067e10i 0.145318i
\(739\) 6.48514e10 + 1.48019e10i 0.217441 + 0.0496295i 0.329854 0.944032i \(-0.393001\pi\)
−0.112412 + 0.993662i \(0.535858\pi\)
\(740\) −1.80628e11 2.26500e11i −0.602363 0.755339i
\(741\) −9.09526e8 3.98490e9i −0.00301677 0.0132173i
\(742\) −2.80594e10 3.51854e10i −0.0925684 0.116077i
\(743\) −1.01384e11 2.10525e11i −0.332669 0.690794i 0.665799 0.746131i \(-0.268091\pi\)
−0.998468 + 0.0553373i \(0.982377\pi\)
\(744\) −4.54508e9 + 1.99133e10i −0.0148337 + 0.0649907i
\(745\) 4.59440e11 2.21255e11i 1.49143 0.718236i
\(746\) −7.34578e9 + 9.21132e9i −0.0237183 + 0.0297417i
\(747\) −3.60672e10 1.58021e11i −0.115832 0.507495i
\(748\) −9.54320e10 4.18115e11i −0.304851 1.33564i
\(749\) 6.89748e10 1.43228e11i 0.219161 0.455092i
\(750\) 4.71460e9 + 3.75977e9i 0.0149005 + 0.0118827i
\(751\) −3.89312e10 + 3.10466e10i −0.122388 + 0.0976011i −0.682771 0.730632i \(-0.739225\pi\)
0.560383 + 0.828234i \(0.310654\pi\)
\(752\) −1.55929e10 7.50913e9i −0.0487590 0.0234811i
\(753\) 3.40493e10 7.07042e10i 0.105908 0.219920i
\(754\) 9.60485e8 + 1.20441e9i 0.00297170 + 0.00372639i
\(755\) 5.61616e10 7.04244e10i 0.172843 0.216738i