Properties

Label 43.9.f.a.2.5
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 2.5
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-10.2670 - 21.3197i) q^{2} +(22.6641 - 47.0626i) q^{3} +(-189.504 + 237.631i) q^{4} +(67.6603 + 15.4430i) q^{5} -1236.05 q^{6} +643.549i q^{7} +(1106.00 + 252.436i) q^{8} +(2389.49 + 2996.33i) q^{9} +O(q^{10})\) \(q+(-10.2670 - 21.3197i) q^{2} +(22.6641 - 47.0626i) q^{3} +(-189.504 + 237.631i) q^{4} +(67.6603 + 15.4430i) q^{5} -1236.05 q^{6} +643.549i q^{7} +(1106.00 + 252.436i) q^{8} +(2389.49 + 2996.33i) q^{9} +(-365.429 - 1601.05i) q^{10} +(11042.0 + 13846.3i) q^{11} +(6888.57 + 14304.3i) q^{12} +(-6526.90 + 28596.2i) q^{13} +(13720.3 - 6607.34i) q^{14} +(2260.25 - 2834.26i) q^{15} +(11340.7 + 49686.9i) q^{16} +(17030.8 + 74617.0i) q^{17} +(39347.9 - 81706.7i) q^{18} +(-10677.6 - 8515.14i) q^{19} +(-16491.6 + 13151.6i) q^{20} +(30287.1 + 14585.5i) q^{21} +(181829. - 377573. i) q^{22} +(-116904. - 146593. i) q^{23} +(36946.8 - 46329.8i) q^{24} +(-347602. - 167396. i) q^{25} +(676674. - 154446. i) q^{26} +(529295. - 120808. i) q^{27} +(-152927. - 121955. i) q^{28} +(75415.4 + 156602. i) q^{29} +(-83631.7 - 19088.4i) q^{30} +(267614. - 128876. i) q^{31} +(1.16993e6 - 932988. i) q^{32} +(901899. - 205852. i) q^{33} +(1.41596e6 - 1.12919e6i) q^{34} +(-9938.34 + 43542.7i) q^{35} -1.16484e6 q^{36} +890909. i q^{37} +(-71912.5 + 315069. i) q^{38} +(1.19788e6 + 955281. i) q^{39} +(70933.6 + 34159.8i) q^{40} +(-1.32710e6 + 639096. i) q^{41} -795461. i q^{42} +(-3.41261e6 + 205732. i) q^{43} -5.38281e6 q^{44} +(115401. + 239634. i) q^{45} +(-1.92506e6 + 3.99743e6i) q^{46} +(-1.33626e6 + 1.67562e6i) q^{47} +(2.59542e6 + 592387. i) q^{48} +5.35065e6 q^{49} +9.12942e6i q^{50} +(3.89766e6 + 889614. i) q^{51} +(-5.55847e6 - 6.97010e6i) q^{52} +(2.62764e6 + 1.15124e7i) q^{53} +(-8.00988e6 - 1.00441e7i) q^{54} +(533278. + 1.10736e6i) q^{55} +(-162455. + 711763. i) q^{56} +(-642744. + 309529. i) q^{57} +(2.56441e6 - 3.21567e6i) q^{58} +(1.98217e6 + 8.68446e6i) q^{59} +(245181. + 1.07421e6i) q^{60} +(5.06023e6 - 1.05077e7i) q^{61} +(-5.49520e6 - 4.38227e6i) q^{62} +(-1.92829e6 + 1.53776e6i) q^{63} +(-2.01478e7 - 9.70269e6i) q^{64} +(-883223. + 1.83403e6i) q^{65} +(-1.36485e7 - 1.71147e7i) q^{66} +(-1.35377e6 + 1.69757e6i) q^{67} +(-2.09587e7 - 1.00932e7i) q^{68} +(-9.54856e6 + 2.17940e6i) q^{69} +(1.03035e6 - 235172. i) q^{70} +(7.25236e6 + 5.78357e6i) q^{71} +(1.88639e6 + 3.91713e6i) q^{72} +(1.00650e7 + 2.29728e6i) q^{73} +(1.89939e7 - 9.14699e6i) q^{74} +(-1.57562e7 + 1.25651e7i) q^{75} +(4.04692e6 - 923683. i) q^{76} +(-8.91075e6 + 7.10609e6i) q^{77} +(8.06759e6 - 3.53464e7i) q^{78} +5.41691e7 q^{79} +3.53696e6i q^{80} +(715255. - 3.13373e6i) q^{81} +(2.72507e7 + 2.17317e7i) q^{82} +(3.52591e7 + 1.69799e7i) q^{83} +(-9.20549e6 + 4.43313e6i) q^{84} +5.31161e6i q^{85} +(3.94234e7 + 7.06435e7i) q^{86} +9.07930e6 q^{87} +(8.71714e6 + 1.81013e7i) q^{88} +(-2.53778e7 + 5.26976e7i) q^{89} +(3.92408e6 - 4.92065e6i) q^{90} +(-1.84031e7 - 4.20038e6i) q^{91} +5.69887e7 q^{92} -1.55155e7i q^{93} +(4.94431e7 + 1.12851e7i) q^{94} +(-590953. - 741031. i) q^{95} +(-1.73934e7 - 7.62053e7i) q^{96} +(-8.26743e6 - 1.03670e7i) q^{97} +(-5.49352e7 - 1.14074e8i) q^{98} +(-1.51031e7 + 6.61711e7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −10.2670 21.3197i −0.641689 1.33248i −0.927366 0.374155i \(-0.877933\pi\)
0.285677 0.958326i \(-0.407782\pi\)
\(3\) 22.6641 47.0626i 0.279804 0.581019i −0.712946 0.701219i \(-0.752639\pi\)
0.992750 + 0.120200i \(0.0383536\pi\)
\(4\) −189.504 + 237.631i −0.740251 + 0.928246i
\(5\) 67.6603 + 15.4430i 0.108256 + 0.0247088i 0.276306 0.961070i \(-0.410890\pi\)
−0.168050 + 0.985779i \(0.553747\pi\)
\(6\) −1236.05 −0.953745
\(7\) 643.549i 0.268034i 0.990979 + 0.134017i \(0.0427876\pi\)
−0.990979 + 0.134017i \(0.957212\pi\)
\(8\) 1106.00 + 252.436i 0.270019 + 0.0616300i
\(9\) 2389.49 + 2996.33i 0.364197 + 0.456688i
\(10\) −365.429 1601.05i −0.0365429 0.160105i
\(11\) 11042.0 + 13846.3i 0.754185 + 0.945718i 0.999720 0.0236696i \(-0.00753498\pi\)
−0.245535 + 0.969388i \(0.578964\pi\)
\(12\) 6888.57 + 14304.3i 0.332203 + 0.689827i
\(13\) −6526.90 + 28596.2i −0.228525 + 1.00123i 0.722319 + 0.691560i \(0.243076\pi\)
−0.950843 + 0.309672i \(0.899781\pi\)
\(14\) 13720.3 6607.34i 0.357150 0.171994i
\(15\) 2260.25 2834.26i 0.0446469 0.0559854i
\(16\) 11340.7 + 49686.9i 0.173045 + 0.758161i
\(17\) 17030.8 + 74617.0i 0.203911 + 0.893392i 0.968528 + 0.248906i \(0.0800712\pi\)
−0.764617 + 0.644485i \(0.777072\pi\)
\(18\) 39347.9 81706.7i 0.374827 0.778337i
\(19\) −10677.6 8515.14i −0.0819334 0.0653397i 0.581667 0.813427i \(-0.302401\pi\)
−0.663600 + 0.748088i \(0.730972\pi\)
\(20\) −16491.6 + 13151.6i −0.103073 + 0.0821978i
\(21\) 30287.1 + 14585.5i 0.155733 + 0.0749970i
\(22\) 181829. 377573.i 0.776199 1.61179i
\(23\) −116904. 146593.i −0.417751 0.523843i 0.527778 0.849383i \(-0.323025\pi\)
−0.945528 + 0.325540i \(0.894454\pi\)
\(24\) 36946.8 46329.8i 0.111361 0.139642i
\(25\) −347602. 167396.i −0.889860 0.428534i
\(26\) 676674. 154446.i 1.48077 0.337975i
\(27\) 529295. 120808.i 0.995963 0.227322i
\(28\) −152927. 121955.i −0.248801 0.198412i
\(29\) 75415.4 + 156602.i 0.106627 + 0.221414i 0.947455 0.319889i \(-0.103646\pi\)
−0.840828 + 0.541303i \(0.817931\pi\)
\(30\) −83631.7 19088.4i −0.103249 0.0235659i
\(31\) 267614. 128876.i 0.289776 0.139549i −0.283349 0.959017i \(-0.591445\pi\)
0.573124 + 0.819468i \(0.305731\pi\)
\(32\) 1.16993e6 932988.i 1.11573 0.889767i
\(33\) 901899. 205852.i 0.760505 0.173580i
\(34\) 1.41596e6 1.12919e6i 1.05958 0.844987i
\(35\) −9938.34 + 43542.7i −0.00662280 + 0.0290164i
\(36\) −1.16484e6 −0.693516
\(37\) 890909.i 0.475364i 0.971343 + 0.237682i \(0.0763877\pi\)
−0.971343 + 0.237682i \(0.923612\pi\)
\(38\) −71912.5 + 315069.i −0.0344882 + 0.151103i
\(39\) 1.19788e6 + 955281.i 0.517793 + 0.412926i
\(40\) 70933.6 + 34159.8i 0.0277084 + 0.0133437i
\(41\) −1.32710e6 + 639096.i −0.469642 + 0.226168i −0.653709 0.756746i \(-0.726788\pi\)
0.184067 + 0.982914i \(0.441074\pi\)
\(42\) 795461.i 0.255636i
\(43\) −3.41261e6 + 205732.i −0.998188 + 0.0601766i
\(44\) −5.38281e6 −1.43615
\(45\) 115401. + 239634.i 0.0281424 + 0.0584383i
\(46\) −1.92506e6 + 3.99743e6i −0.429945 + 0.892789i
\(47\) −1.33626e6 + 1.67562e6i −0.273842 + 0.343387i −0.899667 0.436577i \(-0.856191\pi\)
0.625825 + 0.779963i \(0.284762\pi\)
\(48\) 2.59542e6 + 592387.i 0.488925 + 0.111594i
\(49\) 5.35065e6 0.928158
\(50\) 9.12942e6i 1.46071i
\(51\) 3.89766e6 + 889614.i 0.576133 + 0.131499i
\(52\) −5.55847e6 6.97010e6i −0.760224 0.953291i
\(53\) 2.62764e6 + 1.15124e7i 0.333014 + 1.45903i 0.813263 + 0.581896i \(0.197689\pi\)
−0.480249 + 0.877132i \(0.659454\pi\)
\(54\) −8.00988e6 1.00441e7i −0.942001 1.18123i
\(55\) 533278. + 1.10736e6i 0.0582778 + 0.121015i
\(56\) −162455. + 711763.i −0.0165189 + 0.0723741i
\(57\) −642744. + 309529.i −0.0608890 + 0.0293226i
\(58\) 2.56441e6 3.21567e6i 0.226608 0.284157i
\(59\) 1.98217e6 + 8.68446e6i 0.163581 + 0.716696i 0.988472 + 0.151404i \(0.0483794\pi\)
−0.824891 + 0.565292i \(0.808763\pi\)
\(60\) 245181. + 1.07421e6i 0.0189183 + 0.0828866i
\(61\) 5.06023e6 1.05077e7i 0.365469 0.758905i −0.634432 0.772979i \(-0.718766\pi\)
0.999901 + 0.0140740i \(0.00448005\pi\)
\(62\) −5.49520e6 4.38227e6i −0.371892 0.296574i
\(63\) −1.92829e6 + 1.53776e6i −0.122408 + 0.0976170i
\(64\) −2.01478e7 9.70269e6i −1.20090 0.578325i
\(65\) −883223. + 1.83403e6i −0.0494785 + 0.102743i
\(66\) −1.36485e7 1.71147e7i −0.719300 0.901974i
\(67\) −1.35377e6 + 1.69757e6i −0.0671808 + 0.0842421i −0.814286 0.580463i \(-0.802871\pi\)
0.747106 + 0.664705i \(0.231443\pi\)
\(68\) −2.09587e7 1.00932e7i −0.980232 0.472055i
\(69\) −9.54856e6 + 2.17940e6i −0.421251 + 0.0961479i
\(70\) 1.03035e6 235172.i 0.0429136 0.00979474i
\(71\) 7.25236e6 + 5.78357e6i 0.285395 + 0.227595i 0.755714 0.654901i \(-0.227290\pi\)
−0.470319 + 0.882496i \(0.655861\pi\)
\(72\) 1.88639e6 + 3.91713e6i 0.0701942 + 0.145760i
\(73\) 1.00650e7 + 2.29728e6i 0.354424 + 0.0808951i 0.396026 0.918239i \(-0.370389\pi\)
−0.0416017 + 0.999134i \(0.513246\pi\)
\(74\) 1.89939e7 9.14699e6i 0.633414 0.305036i
\(75\) −1.57562e7 + 1.25651e7i −0.497973 + 0.397120i
\(76\) 4.04692e6 923683.i 0.121303 0.0276865i
\(77\) −8.91075e6 + 7.10609e6i −0.253484 + 0.202147i
\(78\) 8.06759e6 3.53464e7i 0.217954 0.954920i
\(79\) 5.41691e7 1.39073 0.695366 0.718656i \(-0.255242\pi\)
0.695366 + 0.718656i \(0.255242\pi\)
\(80\) 3.53696e6i 0.0863516i
\(81\) 715255. 3.13373e6i 0.0166158 0.0727985i
\(82\) 2.72507e7 + 2.17317e7i 0.602728 + 0.480660i
\(83\) 3.52591e7 + 1.69799e7i 0.742949 + 0.357785i 0.766762 0.641931i \(-0.221867\pi\)
−0.0238136 + 0.999716i \(0.507581\pi\)
\(84\) −9.20549e6 + 4.43313e6i −0.184897 + 0.0890417i
\(85\) 5.31161e6i 0.101754i
\(86\) 3.94234e7 + 7.06435e7i 0.720710 + 1.29145i
\(87\) 9.07930e6 0.158480
\(88\) 8.71714e6 + 1.81013e7i 0.145359 + 0.301842i
\(89\) −2.53778e7 + 5.26976e7i −0.404478 + 0.839906i 0.594871 + 0.803821i \(0.297203\pi\)
−0.999349 + 0.0360853i \(0.988511\pi\)
\(90\) 3.92408e6 4.92065e6i 0.0598092 0.0749984i
\(91\) −1.84031e7 4.20038e6i −0.268364 0.0612524i
\(92\) 5.69887e7 0.795496
\(93\) 1.55155e7i 0.207411i
\(94\) 4.94431e7 + 1.12851e7i 0.633277 + 0.144541i
\(95\) −590953. 741031.i −0.00725535 0.00909792i
\(96\) −1.73934e7 7.62053e7i −0.204785 0.897223i
\(97\) −8.26743e6 1.03670e7i −0.0933864 0.117103i 0.732943 0.680290i \(-0.238146\pi\)
−0.826329 + 0.563188i \(0.809575\pi\)
\(98\) −5.49352e7 1.14074e8i −0.595589 1.23675i
\(99\) −1.51031e7 + 6.61711e7i −0.157227 + 0.688855i
\(100\) 1.05650e8 5.08786e7i 1.05650 0.508786i
\(101\) −4.16860e7 + 5.22726e7i −0.400594 + 0.502329i −0.940687 0.339277i \(-0.889818\pi\)
0.540093 + 0.841606i \(0.318389\pi\)
\(102\) −2.10510e7 9.22305e7i −0.194479 0.852068i
\(103\) −3.22961e7 1.41499e8i −0.286947 1.25720i −0.888691 0.458507i \(-0.848384\pi\)
0.601744 0.798689i \(-0.294473\pi\)
\(104\) −1.44374e7 + 2.99797e7i −0.123412 + 0.256267i
\(105\) 1.82399e6 + 1.45458e6i 0.0150060 + 0.0119669i
\(106\) 2.18464e8 1.74219e8i 1.73044 1.37998i
\(107\) −1.90599e8 9.17875e7i −1.45407 0.700242i −0.470772 0.882255i \(-0.656025\pi\)
−0.983296 + 0.182012i \(0.941739\pi\)
\(108\) −7.15960e7 + 1.48671e8i −0.526252 + 1.09277i
\(109\) 4.51038e7 + 5.65584e7i 0.319527 + 0.400674i 0.915492 0.402336i \(-0.131802\pi\)
−0.595965 + 0.803010i \(0.703230\pi\)
\(110\) 1.81335e7 2.27387e7i 0.123854 0.155308i
\(111\) 4.19285e7 + 2.01917e7i 0.276196 + 0.133009i
\(112\) −3.19759e7 + 7.29830e6i −0.203213 + 0.0463820i
\(113\) −4.93356e7 + 1.12605e7i −0.302584 + 0.0690629i −0.371117 0.928586i \(-0.621025\pi\)
0.0685331 + 0.997649i \(0.478168\pi\)
\(114\) 1.31981e7 + 1.05252e7i 0.0781436 + 0.0623174i
\(115\) −5.64591e6 1.17238e7i −0.0322807 0.0670315i
\(116\) −5.15049e7 1.17557e7i −0.284457 0.0649255i
\(117\) −1.01280e8 + 4.87737e7i −0.540479 + 0.260281i
\(118\) 1.64799e8 1.31423e8i 0.850016 0.677865i
\(119\) −4.80197e7 + 1.09602e7i −0.239459 + 0.0546550i
\(120\) 3.21530e6 2.56412e6i 0.0155059 0.0123655i
\(121\) −2.20933e7 + 9.67970e7i −0.103067 + 0.451565i
\(122\) −2.75974e8 −1.24574
\(123\) 7.69411e7i 0.336154i
\(124\) −2.00890e7 + 8.80159e7i −0.0849714 + 0.372284i
\(125\) −4.21288e7 3.35966e7i −0.172559 0.137612i
\(126\) 5.25823e7 + 2.53223e7i 0.208621 + 0.100466i
\(127\) −1.03599e8 + 4.98905e7i −0.398235 + 0.191780i −0.622273 0.782801i \(-0.713791\pi\)
0.224037 + 0.974581i \(0.428076\pi\)
\(128\) 1.46086e8i 0.544212i
\(129\) −6.76615e7 + 1.65269e8i −0.244333 + 0.596804i
\(130\) 4.81691e7 0.168653
\(131\) 4.07419e7 + 8.46014e7i 0.138343 + 0.287271i 0.958617 0.284699i \(-0.0918936\pi\)
−0.820274 + 0.571970i \(0.806179\pi\)
\(132\) −1.21997e8 + 2.53329e8i −0.401839 + 0.834428i
\(133\) 5.47991e6 6.87159e6i 0.0175133 0.0219609i
\(134\) 5.00909e7 + 1.14329e7i 0.155360 + 0.0354599i
\(135\) 3.76779e7 0.113436
\(136\) 8.68253e7i 0.253799i
\(137\) −3.65714e8 8.34719e7i −1.03815 0.236951i −0.330715 0.943731i \(-0.607290\pi\)
−0.707434 + 0.706780i \(0.750147\pi\)
\(138\) 1.44499e8 + 1.81196e8i 0.398428 + 0.499612i
\(139\) 6.90390e7 + 3.02480e8i 0.184942 + 0.810284i 0.979232 + 0.202744i \(0.0649861\pi\)
−0.794290 + 0.607539i \(0.792157\pi\)
\(140\) −8.46373e6 1.06132e7i −0.0220318 0.0276270i
\(141\) 4.85737e7 + 1.00864e8i 0.122892 + 0.255188i
\(142\) 4.88437e7 2.13998e8i 0.120131 0.526328i
\(143\) −4.68021e8 + 2.25387e8i −1.11923 + 0.538995i
\(144\) −1.21780e8 + 1.52707e8i −0.283221 + 0.355148i
\(145\) 2.68422e6 + 1.17603e7i 0.00607221 + 0.0266041i
\(146\) −5.43607e7 2.38170e8i −0.119639 0.524173i
\(147\) 1.21268e8 2.51815e8i 0.259702 0.539278i
\(148\) −2.11708e8 1.68831e8i −0.441255 0.351889i
\(149\) 2.42201e8 1.93149e8i 0.491395 0.391874i −0.346205 0.938159i \(-0.612530\pi\)
0.837600 + 0.546285i \(0.183958\pi\)
\(150\) 4.29654e8 + 2.06910e8i 0.848699 + 0.408712i
\(151\) 1.61841e8 3.36067e8i 0.311302 0.646425i −0.685348 0.728216i \(-0.740350\pi\)
0.996649 + 0.0817911i \(0.0260640\pi\)
\(152\) −9.65991e6 1.21131e7i −0.0180967 0.0226925i
\(153\) −1.82882e8 + 2.29327e8i −0.333738 + 0.418494i
\(154\) 2.42986e8 + 1.17016e8i 0.432015 + 0.208048i
\(155\) 2.00971e7 4.58702e6i 0.0348181 0.00794701i
\(156\) −4.54008e8 + 1.03624e8i −0.766594 + 0.174970i
\(157\) 6.05723e8 + 4.83048e8i 0.996954 + 0.795044i 0.978806 0.204791i \(-0.0656514\pi\)
0.0181485 + 0.999835i \(0.494223\pi\)
\(158\) −5.56156e8 1.15487e9i −0.892417 1.85312i
\(159\) 6.01358e8 + 1.37256e8i 0.940902 + 0.214755i
\(160\) 9.35659e7 4.50590e7i 0.142770 0.0687545i
\(161\) 9.43396e7 7.52334e7i 0.140408 0.111971i
\(162\) −7.41538e7 + 1.69251e7i −0.107665 + 0.0245738i
\(163\) 7.95271e8 6.34207e8i 1.12659 0.898423i 0.130918 0.991393i \(-0.458207\pi\)
0.995669 + 0.0929700i \(0.0296361\pi\)
\(164\) 9.96216e7 4.36471e8i 0.137714 0.603364i
\(165\) 6.42017e7 0.0866185
\(166\) 9.26046e8i 1.21955i
\(167\) 1.23540e8 5.41263e8i 0.158833 0.695893i −0.831307 0.555813i \(-0.812407\pi\)
0.990140 0.140080i \(-0.0447360\pi\)
\(168\) 2.98155e7 + 2.37771e7i 0.0374287 + 0.0298484i
\(169\) −4.01945e7 1.93567e7i −0.0492742 0.0237292i
\(170\) 1.13242e8 5.45344e7i 0.135585 0.0652943i
\(171\) 5.23406e7i 0.0612145i
\(172\) 5.97815e8 8.49927e8i 0.683051 0.971109i
\(173\) −5.78075e8 −0.645357 −0.322679 0.946509i \(-0.604583\pi\)
−0.322679 + 0.946509i \(0.604583\pi\)
\(174\) −9.32174e7 1.93568e8i −0.101695 0.211172i
\(175\) 1.07728e8 2.23699e8i 0.114862 0.238513i
\(176\) −5.62753e8 + 7.05670e8i −0.586499 + 0.735446i
\(177\) 4.53637e8 + 1.03540e8i 0.462185 + 0.105491i
\(178\) 1.38405e9 1.37871
\(179\) 9.47397e8i 0.922826i 0.887185 + 0.461413i \(0.152657\pi\)
−0.887185 + 0.461413i \(0.847343\pi\)
\(180\) −7.88134e7 1.79886e7i −0.0750775 0.0171360i
\(181\) −9.98130e7 1.25162e8i −0.0929978 0.116616i 0.733155 0.680061i \(-0.238047\pi\)
−0.826153 + 0.563446i \(0.809475\pi\)
\(182\) 9.93939e7 + 4.35473e8i 0.0905887 + 0.396895i
\(183\) −3.79833e8 4.76295e8i −0.338679 0.424690i
\(184\) −9.22898e7 1.91642e8i −0.0805161 0.167193i
\(185\) −1.37583e7 + 6.02792e7i −0.0117457 + 0.0514612i
\(186\) −3.30785e8 + 1.59298e8i −0.276372 + 0.133094i
\(187\) −8.45111e8 + 1.05974e9i −0.691110 + 0.866625i
\(188\) −1.44951e8 6.35073e8i −0.116035 0.508385i
\(189\) 7.77460e7 + 3.40628e8i 0.0609300 + 0.266952i
\(190\) −9.73124e6 + 2.02071e7i −0.00746713 + 0.0155057i
\(191\) 1.99586e9 + 1.59165e9i 1.49968 + 1.19595i 0.926373 + 0.376607i \(0.122909\pi\)
0.573302 + 0.819344i \(0.305662\pi\)
\(192\) −9.13267e8 + 7.28306e8i −0.672036 + 0.535931i
\(193\) −1.04727e9 5.04341e8i −0.754798 0.363492i 0.0165849 0.999862i \(-0.494721\pi\)
−0.771383 + 0.636371i \(0.780435\pi\)
\(194\) −1.36140e8 + 2.82698e8i −0.0961122 + 0.199579i
\(195\) 6.62967e7 + 8.31335e7i 0.0458515 + 0.0574960i
\(196\) −1.01397e9 + 1.27148e9i −0.687070 + 0.861559i
\(197\) 6.19917e8 + 2.98536e8i 0.411593 + 0.198213i 0.628210 0.778044i \(-0.283788\pi\)
−0.216617 + 0.976257i \(0.569502\pi\)
\(198\) 1.56581e9 3.57386e8i 1.01878 0.232529i
\(199\) 2.61932e9 5.97844e8i 1.67023 0.381220i 0.720297 0.693666i \(-0.244005\pi\)
0.949936 + 0.312446i \(0.101148\pi\)
\(200\) −3.42189e8 2.72887e8i −0.213868 0.170554i
\(201\) 4.92101e7 + 1.02186e8i 0.0301488 + 0.0626046i
\(202\) 1.54243e9 + 3.52049e8i 0.926401 + 0.211445i
\(203\) −1.00781e8 + 4.85335e7i −0.0593463 + 0.0285797i
\(204\) −9.50022e8 + 7.57618e8i −0.548546 + 0.437451i
\(205\) −9.96613e7 + 2.27470e7i −0.0564301 + 0.0128798i
\(206\) −2.68512e9 + 2.14131e9i −1.49106 + 1.18908i
\(207\) 1.59899e8 7.00565e8i 0.0870894 0.381564i
\(208\) −1.49488e9 −0.798641
\(209\) 2.41870e8i 0.126764i
\(210\) 1.22843e7 5.38211e7i 0.00631646 0.0276742i
\(211\) −1.54640e9 1.23321e9i −0.780175 0.622169i 0.150251 0.988648i \(-0.451992\pi\)
−0.930426 + 0.366479i \(0.880563\pi\)
\(212\) −3.23366e9 1.55725e9i −1.60085 0.770929i
\(213\) 4.36558e8 2.10235e8i 0.212092 0.102138i
\(214\) 5.00589e9i 2.38686i
\(215\) −2.34075e8 3.87810e7i −0.109547 0.0181495i
\(216\) 6.15895e8 0.282938
\(217\) 8.29381e7 + 1.72223e8i 0.0374037 + 0.0776696i
\(218\) 7.42726e8 1.54229e9i 0.328854 0.682872i
\(219\) 3.36231e8 4.21620e8i 0.146171 0.183293i
\(220\) −3.64202e8 8.31268e7i −0.155472 0.0354855i
\(221\) −2.24492e9 −0.941092
\(222\) 1.10121e9i 0.453376i
\(223\) −4.25953e9 9.72209e8i −1.72243 0.393134i −0.756922 0.653505i \(-0.773298\pi\)
−0.965509 + 0.260371i \(0.916155\pi\)
\(224\) 6.00424e8 + 7.52908e8i 0.238488 + 0.299054i
\(225\) −3.29018e8 1.44152e9i −0.128378 0.562459i
\(226\) 7.46601e8 + 9.36208e8i 0.286190 + 0.358871i
\(227\) −1.33062e9 2.76307e9i −0.501132 1.04061i −0.986111 0.166085i \(-0.946887\pi\)
0.484980 0.874525i \(-0.338827\pi\)
\(228\) 4.82491e7 2.11393e8i 0.0178546 0.0782260i
\(229\) −4.28395e8 + 2.06304e8i −0.155777 + 0.0750181i −0.510148 0.860087i \(-0.670409\pi\)
0.354371 + 0.935105i \(0.384695\pi\)
\(230\) −1.91982e8 + 2.40738e8i −0.0686040 + 0.0860267i
\(231\) 1.32476e8 + 5.80416e8i 0.0465254 + 0.203841i
\(232\) 4.38772e7 + 1.92238e8i 0.0151456 + 0.0663572i
\(233\) 1.74253e9 3.61841e9i 0.591231 1.22770i −0.363877 0.931447i \(-0.618547\pi\)
0.955108 0.296258i \(-0.0957387\pi\)
\(234\) 2.07968e9 + 1.65849e9i 0.693639 + 0.553159i
\(235\) −1.16288e8 + 9.27368e7i −0.0381298 + 0.0304075i
\(236\) −2.43933e9 1.17472e9i −0.786361 0.378692i
\(237\) 1.22770e9 2.54934e9i 0.389133 0.808042i
\(238\) 7.26687e8 + 9.11237e8i 0.226485 + 0.284003i
\(239\) 3.04871e8 3.82296e8i 0.0934382 0.117168i −0.732914 0.680321i \(-0.761840\pi\)
0.826353 + 0.563153i \(0.190412\pi\)
\(240\) 1.66458e8 + 8.01622e7i 0.0501719 + 0.0241615i
\(241\) −1.03782e9 + 2.36876e8i −0.307648 + 0.0702187i −0.373558 0.927607i \(-0.621862\pi\)
0.0659096 + 0.997826i \(0.479005\pi\)
\(242\) 2.29052e9 5.22795e8i 0.667839 0.152430i
\(243\) 2.65362e9 + 2.11619e9i 0.761052 + 0.606919i
\(244\) 1.53801e9 + 3.19372e9i 0.433911 + 0.901026i
\(245\) 3.62026e8 + 8.26301e7i 0.100479 + 0.0229337i
\(246\) 1.64036e9 7.89957e8i 0.447919 0.215706i
\(247\) 3.13193e8 2.49763e8i 0.0841441 0.0671027i
\(248\) 3.28513e8 7.49809e7i 0.0868452 0.0198218i
\(249\) 1.59823e9 1.27455e9i 0.415760 0.331558i
\(250\) −2.83732e8 + 1.24311e9i −0.0726353 + 0.318236i
\(251\) −4.42727e9 −1.11543 −0.557713 0.830034i \(-0.688321\pi\)
−0.557713 + 0.830034i \(0.688321\pi\)
\(252\) 7.49632e8i 0.185886i
\(253\) 7.38907e8 3.23736e9i 0.180346 0.790149i
\(254\) 2.12730e9 + 1.69647e9i 0.511086 + 0.407578i
\(255\) 2.49978e8 + 1.20383e8i 0.0591209 + 0.0284711i
\(256\) −2.04334e9 + 9.84021e8i −0.475752 + 0.229110i
\(257\) 4.21190e9i 0.965485i 0.875762 + 0.482742i \(0.160359\pi\)
−0.875762 + 0.482742i \(0.839641\pi\)
\(258\) 4.21816e9 2.54295e8i 0.952016 0.0573931i
\(259\) −5.73344e8 −0.127414
\(260\) −2.68448e8 5.57438e8i −0.0587444 0.121984i
\(261\) −2.89026e8 + 6.00168e8i −0.0622837 + 0.129333i
\(262\) 1.38538e9 1.73721e9i 0.294011 0.368678i
\(263\) 5.48643e8 + 1.25224e8i 0.114674 + 0.0261737i 0.279473 0.960154i \(-0.409840\pi\)
−0.164799 + 0.986327i \(0.552697\pi\)
\(264\) 1.04946e9 0.216048
\(265\) 8.19513e8i 0.166178i
\(266\) −2.02763e8 4.62792e7i −0.0405006 0.00924400i
\(267\) 1.90492e9 + 2.38869e9i 0.374827 + 0.470019i
\(268\) −1.46851e8 6.43395e8i −0.0284667 0.124721i
\(269\) −4.63085e9 5.80690e9i −0.884405 1.10901i −0.993370 0.114964i \(-0.963325\pi\)
0.108964 0.994046i \(-0.465247\pi\)
\(270\) −3.86840e8 8.03282e8i −0.0727908 0.151152i
\(271\) −1.64403e9 + 7.20297e9i −0.304812 + 1.33547i 0.557956 + 0.829871i \(0.311586\pi\)
−0.862768 + 0.505600i \(0.831271\pi\)
\(272\) −3.51434e9 + 1.69242e9i −0.642049 + 0.309195i
\(273\) −6.14770e8 + 7.70897e8i −0.110678 + 0.138786i
\(274\) 1.97520e9 + 8.65392e9i 0.350436 + 1.53536i
\(275\) −1.52041e9 6.66137e9i −0.265847 1.16475i
\(276\) 1.29160e9 2.68204e9i 0.222583 0.462198i
\(277\) −3.87938e9 3.09370e9i −0.658936 0.525484i 0.235958 0.971763i \(-0.424177\pi\)
−0.894894 + 0.446279i \(0.852749\pi\)
\(278\) 5.73995e9 4.57746e9i 0.961012 0.766382i
\(279\) 1.02562e9 + 4.93911e8i 0.169265 + 0.0815140i
\(280\) −2.19835e7 + 4.56493e7i −0.00357656 + 0.00742680i
\(281\) −2.63153e9 3.29983e9i −0.422069 0.529257i 0.524651 0.851318i \(-0.324196\pi\)
−0.946719 + 0.322060i \(0.895625\pi\)
\(282\) 1.65169e9 2.07115e9i 0.261175 0.327503i
\(283\) 9.03084e9 + 4.34902e9i 1.40793 + 0.678025i 0.974754 0.223282i \(-0.0716771\pi\)
0.433180 + 0.901307i \(0.357391\pi\)
\(284\) −2.74871e9 + 6.27375e8i −0.422528 + 0.0964392i
\(285\) −4.82683e7 + 1.10169e7i −0.00731615 + 0.00166986i
\(286\) 9.61036e9 + 7.66401e9i 1.43640 + 1.14549i
\(287\) −4.11290e8 8.54052e8i −0.0606206 0.125880i
\(288\) 5.59108e9 + 1.27613e9i 0.812692 + 0.185492i
\(289\) 1.00730e9 4.85089e8i 0.144400 0.0695393i
\(290\) 2.23168e8 1.77971e8i 0.0315530 0.0251626i
\(291\) −6.75273e8 + 1.54127e8i −0.0941689 + 0.0214934i
\(292\) −2.45327e9 + 1.95642e9i −0.337454 + 0.269110i
\(293\) 2.15531e9 9.44303e9i 0.292442 1.28127i −0.588674 0.808370i \(-0.700350\pi\)
0.881116 0.472900i \(-0.156793\pi\)
\(294\) −6.61368e9 −0.885226
\(295\) 6.18204e8i 0.0816288i
\(296\) −2.24898e8 + 9.85343e8i −0.0292967 + 0.128357i
\(297\) 7.51723e9 + 5.99479e9i 0.966123 + 0.770457i
\(298\) −6.60456e9 3.18059e9i −0.837488 0.403313i
\(299\) 4.95502e9 2.38621e9i 0.619955 0.298555i
\(300\) 6.12530e9i 0.756210i
\(301\) −1.32399e8 2.19618e9i −0.0161294 0.267548i
\(302\) −8.82648e9 −1.06111
\(303\) 1.51530e9 + 3.14656e9i 0.179775 + 0.373307i
\(304\) 3.01999e8 6.27106e8i 0.0353599 0.0734255i
\(305\) 5.04647e8 6.32807e8i 0.0583160 0.0731260i
\(306\) 6.76683e9 + 1.54449e9i 0.771791 + 0.176156i
\(307\) 1.57298e9 0.177080 0.0885398 0.996073i \(-0.471780\pi\)
0.0885398 + 0.996073i \(0.471780\pi\)
\(308\) 3.46410e9i 0.384935i
\(309\) −7.39125e9 1.68700e9i −0.810744 0.185047i
\(310\) −3.04131e8 3.81368e8i −0.0329317 0.0412950i
\(311\) 2.27824e9 + 9.98160e9i 0.243533 + 1.06699i 0.937775 + 0.347245i \(0.112883\pi\)
−0.694242 + 0.719742i \(0.744260\pi\)
\(312\) 1.08371e9 + 1.35893e9i 0.114365 + 0.143409i
\(313\) −6.13991e9 1.27497e10i −0.639712 1.32838i −0.928625 0.371020i \(-0.879008\pi\)
0.288913 0.957356i \(-0.406706\pi\)
\(314\) 4.07946e9 1.78733e10i 0.419647 1.83859i
\(315\) −1.54216e8 + 7.42665e7i −0.0156634 + 0.00754311i
\(316\) −1.02653e10 + 1.28723e10i −1.02949 + 1.29094i
\(317\) 4.08668e9 + 1.79049e10i 0.404701 + 1.77311i 0.607943 + 0.793981i \(0.291995\pi\)
−0.203243 + 0.979128i \(0.565148\pi\)
\(318\) −3.24790e9 1.42300e10i −0.317610 1.39154i
\(319\) −1.33561e9 + 2.77342e9i −0.128978 + 0.267826i
\(320\) −1.21337e9 9.67629e8i −0.115716 0.0922803i
\(321\) −8.63951e9 + 6.88978e9i −0.813709 + 0.648911i
\(322\) −2.57254e9 1.23887e9i −0.239298 0.115240i
\(323\) 4.53525e8 9.41753e8i 0.0416669 0.0865221i
\(324\) 6.09128e8 + 7.63823e8i 0.0552750 + 0.0693127i
\(325\) 7.05565e9 8.84751e9i 0.632417 0.793026i
\(326\) −2.16862e10 1.04435e10i −1.92005 0.924648i
\(327\) 3.68402e9 8.40854e8i 0.322204 0.0735410i
\(328\) −1.62910e9 + 3.71830e8i −0.140751 + 0.0321255i
\(329\) −1.07834e9 8.59949e8i −0.0920392 0.0733988i
\(330\) −6.59160e8 1.36876e9i −0.0555821 0.115417i
\(331\) 1.53457e10 + 3.50256e9i 1.27842 + 0.291792i 0.807230 0.590237i \(-0.200966\pi\)
0.471194 + 0.882029i \(0.343823\pi\)
\(332\) −1.07167e10 + 5.16089e9i −0.882081 + 0.424788i
\(333\) −2.66946e9 + 2.12882e9i −0.217093 + 0.173126i
\(334\) −1.28080e10 + 2.92333e9i −1.02919 + 0.234905i
\(335\) −1.17812e8 + 9.39519e7i −0.00935428 + 0.00745979i
\(336\) −3.81230e8 + 1.67028e9i −0.0299110 + 0.131049i
\(337\) −1.82421e10 −1.41435 −0.707173 0.707040i \(-0.750030\pi\)
−0.707173 + 0.707040i \(0.750030\pi\)
\(338\) 1.05567e9i 0.0808838i
\(339\) −5.88199e8 + 2.57707e9i −0.0445375 + 0.195131i
\(340\) −1.26220e9 1.00657e9i −0.0944525 0.0753233i
\(341\) 4.73945e9 + 2.28240e9i 0.350518 + 0.168801i
\(342\) −1.11589e9 + 5.37383e8i −0.0815672 + 0.0392807i
\(343\) 7.15334e9i 0.516812i
\(344\) −3.82626e9 6.33927e8i −0.273238 0.0452695i
\(345\) −6.79714e8 −0.0479789
\(346\) 5.93512e9 + 1.23244e10i 0.414119 + 0.859926i
\(347\) −6.08936e9 + 1.26447e10i −0.420005 + 0.872148i 0.578404 + 0.815751i \(0.303676\pi\)
−0.998408 + 0.0563978i \(0.982038\pi\)
\(348\) −1.72057e9 + 2.15752e9i −0.117315 + 0.147109i
\(349\) −2.52169e9 5.75560e8i −0.169977 0.0387962i 0.136685 0.990615i \(-0.456355\pi\)
−0.306662 + 0.951818i \(0.599212\pi\)
\(350\) −5.87523e9 −0.391519
\(351\) 1.59243e10i 1.04914i
\(352\) 2.58368e10 + 5.89708e9i 1.68294 + 0.384120i
\(353\) 1.70163e10 + 2.13378e10i 1.09589 + 1.37420i 0.920975 + 0.389621i \(0.127394\pi\)
0.174916 + 0.984583i \(0.444035\pi\)
\(354\) −2.45007e9 1.07345e10i −0.156015 0.683545i
\(355\) 4.01381e8 + 5.03316e8i 0.0252722 + 0.0316904i
\(356\) −7.71337e9 1.60170e10i −0.480224 0.997196i
\(357\) −5.72511e8 + 2.50833e9i −0.0352461 + 0.154423i
\(358\) 2.01982e10 9.72695e9i 1.22965 0.592167i
\(359\) −1.25036e10 + 1.56790e10i −0.752759 + 0.943930i −0.999685 0.0251044i \(-0.992008\pi\)
0.246926 + 0.969034i \(0.420580\pi\)
\(360\) 6.71413e7 + 2.94165e8i 0.00399742 + 0.0175138i
\(361\) −3.73769e9 1.63759e10i −0.220077 0.964221i
\(362\) −1.64362e9 + 3.41302e9i −0.0957123 + 0.198749i
\(363\) 4.05479e9 + 3.23359e9i 0.233530 + 0.186234i
\(364\) 4.48560e9 3.57715e9i 0.255514 0.203766i
\(365\) 6.45526e8 + 3.10869e8i 0.0363699 + 0.0175148i
\(366\) −6.25471e9 + 1.29880e10i −0.348564 + 0.723802i
\(367\) 9.01414e9 + 1.13034e10i 0.496890 + 0.623080i 0.965525 0.260312i \(-0.0838254\pi\)
−0.468635 + 0.883392i \(0.655254\pi\)
\(368\) 5.95796e9 7.47105e9i 0.324868 0.407371i
\(369\) −5.08603e9 2.44930e9i −0.274330 0.132110i
\(370\) 1.42639e9 3.25564e8i 0.0761082 0.0173712i
\(371\) −7.40882e9 + 1.69101e9i −0.391069 + 0.0892589i
\(372\) 3.68695e9 + 2.94025e9i 0.192529 + 0.153537i
\(373\) 3.03309e9 + 6.29827e9i 0.156693 + 0.325376i 0.964505 0.264064i \(-0.0850629\pi\)
−0.807812 + 0.589440i \(0.799349\pi\)
\(374\) 3.12700e10 + 7.13718e9i 1.59824 + 0.364788i
\(375\) −2.53595e9 + 1.22125e9i −0.128238 + 0.0617561i
\(376\) −1.90089e9 + 1.51591e9i −0.0951053 + 0.0758439i
\(377\) −4.97044e9 + 1.13447e9i −0.246054 + 0.0561601i
\(378\) 6.46386e9 5.15475e9i 0.316610 0.252488i
\(379\) 4.25774e9 1.86544e10i 0.206358 0.904115i −0.760608 0.649211i \(-0.775099\pi\)
0.966966 0.254904i \(-0.0820438\pi\)
\(380\) 2.88080e8 0.0138159
\(381\) 6.00635e9i 0.285043i
\(382\) 1.34419e10 5.88927e10i 0.631257 2.76572i
\(383\) 1.75431e10 + 1.39902e10i 0.815288 + 0.650171i 0.939677 0.342063i \(-0.111126\pi\)
−0.124389 + 0.992234i \(0.539697\pi\)
\(384\) 6.87518e9 + 3.31091e9i 0.316198 + 0.152273i
\(385\) −7.12643e8 + 3.43191e8i −0.0324361 + 0.0156204i
\(386\) 2.75056e10i 1.23900i
\(387\) −8.77084e9 9.73370e9i −0.391019 0.433944i
\(388\) 4.03024e9 0.177830
\(389\) −7.65121e9 1.58879e10i −0.334143 0.693854i 0.664425 0.747355i \(-0.268676\pi\)
−0.998568 + 0.0535005i \(0.982962\pi\)
\(390\) 1.09171e9 2.26696e9i 0.0471899 0.0979908i
\(391\) 8.94734e9 1.12196e10i 0.382813 0.480032i
\(392\) 5.91779e9 + 1.35070e9i 0.250620 + 0.0572024i
\(393\) 4.90494e9 0.205619
\(394\) 1.62815e10i 0.675631i
\(395\) 3.66510e9 + 8.36534e8i 0.150556 + 0.0343633i
\(396\) −1.28622e10 1.61287e10i −0.523039 0.655871i
\(397\) −1.07498e10 4.70980e10i −0.432752 1.89601i −0.443909 0.896072i \(-0.646409\pi\)
0.0111575 0.999938i \(-0.496448\pi\)
\(398\) −3.96385e10 4.97051e10i −1.57974 1.98093i
\(399\) −1.99197e8 4.13637e8i −0.00785944 0.0163203i
\(400\) 4.37534e9 1.91696e10i 0.170912 0.748813i
\(401\) 1.20084e9 5.78292e8i 0.0464415 0.0223651i −0.410519 0.911852i \(-0.634652\pi\)
0.456960 + 0.889487i \(0.348938\pi\)
\(402\) 1.67333e9 2.09829e9i 0.0640733 0.0803454i
\(403\) 1.93868e9 + 8.49390e9i 0.0734997 + 0.322023i
\(404\) −4.52190e9 1.98118e10i −0.169745 0.743699i
\(405\) 9.67886e7 2.00984e8i 0.00359753 0.00747034i
\(406\) 2.06944e9 + 1.65032e9i 0.0761638 + 0.0607386i
\(407\) −1.23358e10 + 9.83744e9i −0.449561 + 0.358513i
\(408\) 4.08622e9 + 1.96782e9i 0.147462 + 0.0710141i
\(409\) 1.09354e10 2.27076e10i 0.390788 0.811480i −0.609043 0.793137i \(-0.708446\pi\)
0.999832 0.0183435i \(-0.00583925\pi\)
\(410\) 1.50818e9 + 1.89120e9i 0.0533727 + 0.0669272i
\(411\) −1.22170e10 + 1.53196e10i −0.428151 + 0.536885i
\(412\) 3.97447e10 + 1.91400e10i 1.37940 + 0.664284i
\(413\) −5.58888e9 + 1.27563e9i −0.192099 + 0.0438453i
\(414\) −1.65775e10 + 3.78371e9i −0.564311 + 0.128800i
\(415\) 2.12342e9 + 1.69337e9i 0.0715885 + 0.0570899i
\(416\) 1.90439e10 + 3.95451e10i 0.635891 + 1.32044i
\(417\) 1.58002e10 + 3.60629e9i 0.522538 + 0.119266i
\(418\) −5.15659e9 + 2.48328e9i −0.168911 + 0.0813432i
\(419\) 2.15607e9 1.71941e9i 0.0699530 0.0557857i −0.587889 0.808942i \(-0.700041\pi\)
0.657842 + 0.753156i \(0.271469\pi\)
\(420\) −6.91307e8 + 1.57786e8i −0.0222164 + 0.00507075i
\(421\) −3.13619e10 + 2.50102e10i −0.998328 + 0.796140i −0.979039 0.203674i \(-0.934712\pi\)
−0.0192896 + 0.999814i \(0.506140\pi\)
\(422\) −1.04148e10 + 4.56302e10i −0.328398 + 1.43881i
\(423\) −8.21369e9 −0.256553
\(424\) 1.33960e10i 0.414489i
\(425\) 6.57064e9 2.87879e10i 0.201397 0.882376i
\(426\) −8.96430e9 7.14879e9i −0.272194 0.217067i
\(427\) 6.76221e9 + 3.25651e9i 0.203412 + 0.0979582i
\(428\) 5.79308e10 2.78980e10i 1.72637 0.831377i
\(429\) 2.71345e10i 0.801110i
\(430\) 1.57645e9 + 5.38857e9i 0.0461113 + 0.157616i
\(431\) −2.74496e9 −0.0795477 −0.0397738 0.999209i \(-0.512664\pi\)
−0.0397738 + 0.999209i \(0.512664\pi\)
\(432\) 1.20052e10 + 2.49290e10i 0.344694 + 0.715763i
\(433\) 2.66435e10 5.53258e10i 0.757948 1.57390i −0.0597261 0.998215i \(-0.519023\pi\)
0.817674 0.575681i \(-0.195263\pi\)
\(434\) 2.82021e9 3.53643e9i 0.0794918 0.0996795i
\(435\) 6.14308e8 + 1.40212e8i 0.0171565 + 0.00391586i
\(436\) −2.19874e10 −0.608454
\(437\) 2.56072e9i 0.0702160i
\(438\) −1.24409e10 2.83956e9i −0.338030 0.0771532i
\(439\) 9.14648e9 + 1.14693e10i 0.246261 + 0.308802i 0.889564 0.456810i \(-0.151008\pi\)
−0.643303 + 0.765611i \(0.722437\pi\)
\(440\) 3.10265e8 + 1.35936e9i 0.00827793 + 0.0362680i
\(441\) 1.27853e10 + 1.60323e10i 0.338032 + 0.423879i
\(442\) 2.30487e10 + 4.78610e10i 0.603888 + 1.25399i
\(443\) 3.57958e9 1.56832e10i 0.0929431 0.407210i −0.906959 0.421219i \(-0.861602\pi\)
0.999902 + 0.0140090i \(0.00445935\pi\)
\(444\) −1.27438e10 + 6.13709e9i −0.327919 + 0.157918i
\(445\) −2.53088e9 + 3.17362e9i −0.0645404 + 0.0809311i
\(446\) 2.30055e10 + 1.00794e11i 0.581422 + 2.54738i
\(447\) −3.60080e9 1.57762e10i −0.0901923 0.395158i
\(448\) 6.24416e9 1.29661e10i 0.155011 0.321883i
\(449\) −2.07707e10 1.65641e10i −0.511053 0.407551i 0.333723 0.942671i \(-0.391695\pi\)
−0.844776 + 0.535120i \(0.820266\pi\)
\(450\) −2.73548e10 + 2.18147e10i −0.667088 + 0.531985i
\(451\) −2.35029e10 1.13184e10i −0.568088 0.273577i
\(452\) 6.67346e9 1.38576e10i 0.159881 0.331997i
\(453\) −1.21482e10 1.52333e10i −0.288482 0.361745i
\(454\) −4.52462e10 + 5.67370e10i −1.06502 + 1.33550i
\(455\) −1.18029e9 5.68397e8i −0.0275387 0.0132619i
\(456\) −7.89009e8 + 1.80086e8i −0.0182483 + 0.00416506i
\(457\) −6.08317e10 + 1.38844e10i −1.39465 + 0.318320i −0.852836 0.522178i \(-0.825120\pi\)
−0.541814 + 0.840498i \(0.682262\pi\)
\(458\) 8.79668e9 + 7.01512e9i 0.199920 + 0.159431i
\(459\) 1.80287e10 + 3.74370e10i 0.406175 + 0.843431i
\(460\) 3.85587e9 + 8.80078e8i 0.0861175 + 0.0196558i
\(461\) −4.54863e10 + 2.19051e10i −1.00711 + 0.484999i −0.863346 0.504613i \(-0.831635\pi\)
−0.143765 + 0.989612i \(0.545921\pi\)
\(462\) 1.10142e10 8.78350e9i 0.241759 0.192797i
\(463\) −3.53513e9 + 8.06871e8i −0.0769275 + 0.0175582i −0.260811 0.965390i \(-0.583990\pi\)
0.183884 + 0.982948i \(0.441133\pi\)
\(464\) −6.92578e9 + 5.52313e9i −0.149416 + 0.119155i
\(465\) 2.39605e8 1.04978e9i 0.00512489 0.0224536i
\(466\) −9.50340e10 −2.01528
\(467\) 2.17382e10i 0.457042i 0.973539 + 0.228521i \(0.0733889\pi\)
−0.973539 + 0.228521i \(0.926611\pi\)
\(468\) 7.60279e9 3.33100e10i 0.158486 0.694371i
\(469\) −1.09247e9 8.71217e8i −0.0225797 0.0180067i
\(470\) 3.17105e9 + 1.52710e9i 0.0649849 + 0.0312951i
\(471\) 3.64616e10 1.75590e10i 0.740888 0.356793i
\(472\) 1.01054e10i 0.203603i
\(473\) −4.05307e10 4.49801e10i −0.809728 0.898620i
\(474\) −6.69559e10 −1.32640
\(475\) 2.28617e9 + 4.74727e9i 0.0449090 + 0.0932545i
\(476\) 6.49546e9 1.34880e10i 0.126527 0.262735i
\(477\) −2.82163e10 + 3.53822e10i −0.545039 + 0.683457i
\(478\) −1.12806e10 2.57471e9i −0.216082 0.0493194i
\(479\) 4.67791e10 0.888607 0.444304 0.895876i \(-0.353451\pi\)
0.444304 + 0.895876i \(0.353451\pi\)
\(480\) 5.42468e9i 0.102190i
\(481\) −2.54766e10 5.81487e9i −0.475950 0.108633i
\(482\) 1.57055e10 + 1.96940e10i 0.290980 + 0.364877i
\(483\) −1.40255e9 6.14497e9i −0.0257709 0.112910i
\(484\) −1.88152e10 2.35935e10i −0.342868 0.429943i
\(485\) −3.99278e8 8.29110e8i −0.00721620 0.0149846i
\(486\) 1.78718e10 7.83015e10i 0.320349 1.40354i
\(487\) 9.36417e10 4.50955e10i 1.66477 0.801710i 0.666340 0.745648i \(-0.267860\pi\)
0.998427 0.0560617i \(-0.0178543\pi\)
\(488\) 8.24912e9 1.03441e10i 0.145455 0.182395i
\(489\) −1.18233e10 5.18013e10i −0.206778 0.905951i
\(490\) −1.95528e9 8.56665e9i −0.0339176 0.148603i
\(491\) 2.25200e10 4.67634e10i 0.387475 0.804600i −0.612426 0.790528i \(-0.709806\pi\)
0.999901 0.0140718i \(-0.00447935\pi\)
\(492\) −1.82836e10 1.45807e10i −0.312033 0.248838i
\(493\) −1.04008e10 + 8.29432e9i −0.176067 + 0.140408i
\(494\) −8.54042e9 4.11285e9i −0.143407 0.0690614i
\(495\) −2.04376e9 + 4.24392e9i −0.0340416 + 0.0706881i
\(496\) 9.43837e9 + 1.18353e10i 0.155945 + 0.195548i
\(497\) −3.72201e9 + 4.66725e9i −0.0610031 + 0.0764955i
\(498\) −4.35821e10 2.09880e10i −0.708583 0.341236i
\(499\) 4.57830e10 1.04497e10i 0.738418 0.168539i 0.163262 0.986583i \(-0.447799\pi\)
0.575156 + 0.818044i \(0.304941\pi\)
\(500\) 1.59672e10 3.64440e9i 0.255475 0.0583104i
\(501\) −2.26733e10 1.80814e10i −0.359885 0.286999i
\(502\) 4.54548e10 + 9.43880e10i 0.715757 + 1.48628i
\(503\) 7.68579e10 + 1.75423e10i 1.20065 + 0.274041i 0.775657 0.631155i \(-0.217419\pi\)
0.424995 + 0.905196i \(0.360276\pi\)
\(504\) −2.52086e9 + 1.21398e9i −0.0390685 + 0.0188144i
\(505\) −3.62773e9 + 2.89302e9i −0.0557788 + 0.0444821i
\(506\) −7.66059e10 + 1.74848e10i −1.16859 + 0.266722i
\(507\) −1.82195e9 + 1.45295e9i −0.0275743 + 0.0219898i
\(508\) 7.77688e9 3.40727e10i 0.116775 0.511626i
\(509\) 9.85840e10 1.46871 0.734354 0.678767i \(-0.237485\pi\)
0.734354 + 0.678767i \(0.237485\pi\)
\(510\) 6.56543e9i 0.0970471i
\(511\) −1.47841e9 + 6.47734e9i −0.0216826 + 0.0949977i
\(512\) 7.11970e10 + 5.67777e10i 1.03605 + 0.826224i
\(513\) −6.68033e9 3.21708e9i −0.0964558 0.0464507i
\(514\) 8.97964e10 4.32437e10i 1.28649 0.619541i
\(515\) 1.00726e10i 0.143190i
\(516\) −2.64508e10 4.73976e10i −0.373113 0.668586i
\(517\) −3.79560e10 −0.531274
\(518\) 5.88654e9 + 1.22235e10i 0.0817600 + 0.169776i
\(519\) −1.31016e10 + 2.72057e10i −0.180574 + 0.374965i
\(520\) −1.43982e9 + 1.80547e9i −0.0196922 + 0.0246932i
\(521\) −8.71449e10 1.98903e10i −1.18274 0.269954i −0.414463 0.910066i \(-0.636031\pi\)
−0.768281 + 0.640112i \(0.778888\pi\)
\(522\) 1.57628e10 0.212301
\(523\) 5.02686e10i 0.671878i −0.941884 0.335939i \(-0.890946\pi\)
0.941884 0.335939i \(-0.109054\pi\)
\(524\) −2.78247e10 6.35080e9i −0.369067 0.0842370i
\(525\) −8.08628e9 1.01399e10i −0.106442 0.133474i
\(526\) −2.96319e9 1.29826e10i −0.0387094 0.169597i
\(527\) 1.41740e10 + 1.77737e10i 0.183760 + 0.230428i
\(528\) 2.04563e10 + 4.24780e10i 0.263204 + 0.546548i
\(529\) 9.60290e9 4.20731e10i 0.122625 0.537256i
\(530\) 1.74718e10 8.41396e9i 0.221428 0.106634i
\(531\) −2.12851e10 + 2.66907e10i −0.267731 + 0.335724i
\(532\) 5.94435e8 + 2.60439e9i 0.00742093 + 0.0325132i
\(533\) −9.61390e9 4.21212e10i −0.119122 0.521906i
\(534\) 3.13683e10 6.51370e10i 0.385768 0.801056i
\(535\) −1.14785e10 9.15378e9i −0.140110 0.111734i
\(536\) −1.92579e9 + 1.53577e9i −0.0233319 + 0.0186066i
\(537\) 4.45869e10 + 2.14719e10i 0.536180 + 0.258211i
\(538\) −7.62563e10 + 1.58348e11i −0.910221 + 1.89009i
\(539\) 5.90820e10 + 7.40864e10i 0.700003 + 0.877776i
\(540\) −7.14013e9 + 8.95343e9i −0.0839713 + 0.105297i
\(541\) −4.01628e10 1.93414e10i −0.468851 0.225787i 0.184514 0.982830i \(-0.440929\pi\)
−0.653365 + 0.757043i \(0.726643\pi\)
\(542\) 1.70444e11 3.89028e10i 1.97508 0.450800i
\(543\) −8.15260e9 + 1.86078e9i −0.0937771 + 0.0214040i
\(544\) 8.95416e10 + 7.14071e10i 1.02242 + 0.815353i
\(545\) 2.17830e9 + 4.52330e9i 0.0246907 + 0.0512707i
\(546\) 2.27472e10 + 5.19189e9i 0.255951 + 0.0584191i
\(547\) −8.43976e10 + 4.06438e10i −0.942716 + 0.453988i −0.841127 0.540838i \(-0.818107\pi\)
−0.101590 + 0.994826i \(0.532393\pi\)
\(548\) 8.91399e10 7.10867e10i 0.988439 0.788254i
\(549\) 4.35759e10 9.94591e9i 0.479686 0.109485i
\(550\) −1.26408e11 + 1.00807e11i −1.38142 + 1.10164i
\(551\) 5.28226e8 2.31431e9i 0.00573078 0.0251082i
\(552\) −1.11108e10 −0.119671
\(553\) 3.48605e10i 0.372763i
\(554\) −2.61271e10 + 1.14470e11i −0.277365 + 1.21522i
\(555\) 2.52507e9 + 2.01368e9i 0.0266135 + 0.0212235i
\(556\) −8.49617e10 4.09154e10i −0.889046 0.428142i
\(557\) 1.35190e11 6.51041e10i 1.40451 0.676375i 0.430437 0.902621i \(-0.358359\pi\)
0.974070 + 0.226245i \(0.0726451\pi\)
\(558\) 2.69368e10i 0.277850i
\(559\) 1.63906e10 9.89303e10i 0.167860 1.01317i
\(560\) −2.27621e9 −0.0231451
\(561\) 3.07202e10 + 6.37911e10i 0.310150 + 0.644034i
\(562\) −4.33335e10 + 8.99829e10i −0.434389 + 0.902017i
\(563\) −1.65824e9 + 2.07937e9i −0.0165050 + 0.0206966i −0.790015 0.613087i \(-0.789928\pi\)
0.773511 + 0.633783i \(0.218499\pi\)
\(564\) −3.31734e10 7.57161e9i −0.327849 0.0748293i
\(565\) −3.51195e9 −0.0344632
\(566\) 2.37186e11i 2.31113i
\(567\) 2.01671e9 + 4.60301e8i 0.0195124 + 0.00445359i
\(568\) 6.56110e9 + 8.22736e9i 0.0630353 + 0.0790437i
\(569\) 3.90427e10 + 1.71057e11i 0.372470 + 1.63190i 0.719820 + 0.694161i \(0.244224\pi\)
−0.347351 + 0.937735i \(0.612919\pi\)
\(570\) 7.30449e8 + 9.15954e8i 0.00691975 + 0.00867709i
\(571\) 2.37518e10 + 4.93211e10i 0.223435 + 0.463968i 0.982308 0.187270i \(-0.0599640\pi\)
−0.758873 + 0.651239i \(0.774250\pi\)
\(572\) 3.51330e10 1.53928e11i 0.328195 1.43792i
\(573\) 1.20142e11 5.78571e10i 1.11449 0.536708i
\(574\) −1.39854e10 + 1.75371e10i −0.128833 + 0.161552i
\(575\) 1.60969e10 + 7.05251e10i 0.147255 + 0.645167i
\(576\) −1.90707e10 8.35541e10i −0.173251 0.759063i
\(577\) 7.87786e10 1.63585e11i 0.710731 1.47585i −0.161562 0.986863i \(-0.551653\pi\)
0.872292 0.488985i \(-0.162633\pi\)
\(578\) −2.06839e10 1.64949e10i −0.185320 0.147787i
\(579\) −4.74711e10 + 3.78570e10i −0.422392 + 0.336846i
\(580\) −3.30329e9 1.59078e9i −0.0291901 0.0140572i
\(581\) −1.09274e10 + 2.26910e10i −0.0958985 + 0.199135i
\(582\) 1.02190e10 + 1.28142e10i 0.0890667 + 0.111686i
\(583\) −1.30390e11 + 1.63504e11i −1.12868 + 1.41531i
\(584\) 1.05520e10 + 5.08156e9i 0.0907157 + 0.0436864i
\(585\) −7.60582e9 + 1.73598e9i −0.0649416 + 0.0148225i
\(586\) −2.23451e11 + 5.10013e10i −1.89493 + 0.432504i
\(587\) 4.22838e10 + 3.37202e10i 0.356140 + 0.284012i 0.785173 0.619277i \(-0.212574\pi\)
−0.429033 + 0.903289i \(0.641145\pi\)
\(588\) 3.68583e10 + 7.65370e10i 0.308337 + 0.640269i
\(589\) −3.95488e9 9.02676e8i −0.0328604 0.00750017i
\(590\) 1.31799e10 6.34711e9i 0.108769 0.0523803i
\(591\) 2.80998e10 2.24088e10i 0.230331 0.183683i
\(592\) −4.42665e10 + 1.01035e10i −0.360403 + 0.0822596i
\(593\) −1.79555e11 + 1.43190e11i −1.45204 + 1.15796i −0.494671 + 0.869080i \(0.664712\pi\)
−0.957365 + 0.288880i \(0.906717\pi\)
\(594\) 5.06276e10 2.21814e11i 0.406669 1.78173i
\(595\) −3.41828e9 −0.0272734
\(596\) 9.41570e10i 0.746221i
\(597\) 3.12287e10 1.36822e11i 0.245842 1.07710i
\(598\) −1.01747e11 8.11402e10i −0.795637 0.634499i
\(599\) 1.58763e11 + 7.64561e10i 1.23322 + 0.593888i 0.932964 0.359970i \(-0.117213\pi\)
0.300258 + 0.953858i \(0.402927\pi\)
\(600\) −2.05982e10 + 9.91956e9i −0.158937 + 0.0765398i
\(601\) 8.66023e10i 0.663791i −0.943316 0.331896i \(-0.892312\pi\)
0.943316 0.331896i \(-0.107688\pi\)
\(602\) −4.54625e10 + 2.53709e10i −0.346153 + 0.193175i
\(603\) −8.32131e9 −0.0629394
\(604\) 4.91903e10 + 1.02145e11i 0.369600 + 0.767481i
\(605\) −2.98967e9 + 6.20812e9i −0.0223153 + 0.0463382i
\(606\) 5.15261e10 6.46117e10i 0.382064 0.479094i
\(607\) −1.91063e11 4.36089e10i −1.40742 0.321233i −0.549702 0.835361i \(-0.685259\pi\)
−0.857714 + 0.514127i \(0.828116\pi\)
\(608\) −2.04366e10 −0.149553
\(609\) 5.84298e9i 0.0424781i
\(610\) −1.86725e10 4.26187e9i −0.134860 0.0307809i
\(611\) −3.91947e10 4.91485e10i −0.281230 0.352652i
\(612\) −1.98382e10 8.69168e10i −0.141415 0.619581i
\(613\) −1.40918e11 1.76706e11i −0.997988 1.25144i −0.967755 0.251894i \(-0.918946\pi\)
−0.0302331 0.999543i \(-0.509625\pi\)
\(614\) −1.61498e10 3.35354e10i −0.113630 0.235955i
\(615\) −1.18820e9 + 5.20586e9i −0.00830597 + 0.0363908i
\(616\) −1.16491e10 + 5.60991e9i −0.0809039 + 0.0389612i
\(617\) 1.18686e11 1.48827e11i 0.818950 1.02693i −0.180113 0.983646i \(-0.557646\pi\)
0.999063 0.0432844i \(-0.0137822\pi\)
\(618\) 3.99197e10 + 1.74900e11i 0.273674 + 1.19904i
\(619\) −3.61718e10 1.58479e11i −0.246381 1.07947i −0.935085 0.354424i \(-0.884677\pi\)
0.688703 0.725043i \(-0.258180\pi\)
\(620\) −2.71846e9 + 5.64494e9i −0.0183974 + 0.0382026i
\(621\) −7.95863e10 6.34679e10i −0.535145 0.426764i
\(622\) 1.89414e11 1.51053e11i 1.26547 1.00918i
\(623\) −3.39135e10 1.63319e10i −0.225123 0.108414i
\(624\) −3.38801e10 + 7.03527e10i −0.223463 + 0.464026i
\(625\) 9.16323e10 + 1.14903e11i 0.600522 + 0.753030i
\(626\) −2.08780e11 + 2.61802e11i −1.35954 + 1.70481i
\(627\) −1.13830e10 5.48177e9i −0.0736524 0.0354691i
\(628\) −2.29574e11 + 5.23988e10i −1.47599 + 0.336886i
\(629\) −6.64770e10 + 1.51729e10i −0.424687 + 0.0969320i
\(630\) 3.16668e9 + 2.52534e9i 0.0201021 + 0.0160309i
\(631\) 5.66890e10 + 1.17716e11i 0.357587 + 0.742536i 0.999710 0.0240646i \(-0.00766075\pi\)
−0.642124 + 0.766601i \(0.721946\pi\)
\(632\) 5.99108e10 + 1.36743e10i 0.375523 + 0.0857108i
\(633\) −9.30860e10 + 4.48279e10i −0.579788 + 0.279211i
\(634\) 3.39769e11 2.70957e11i 2.10294 1.67704i
\(635\) −7.77998e9 + 1.77573e9i −0.0478502 + 0.0109215i
\(636\) −1.46576e11 + 1.16891e11i −0.895849 + 0.714416i
\(637\) −3.49231e10 + 1.53008e11i −0.212107 + 0.929302i
\(638\) 7.28412e10 0.439637
\(639\) 3.55503e10i 0.213226i
\(640\) −2.25601e9 + 9.88421e9i −0.0134468 + 0.0589145i
\(641\) −9.16788e10 7.31114e10i −0.543046 0.433065i 0.313159 0.949701i \(-0.398613\pi\)
−0.856205 + 0.516636i \(0.827184\pi\)
\(642\) 2.35590e11 + 1.13454e11i 1.38681 + 0.667852i
\(643\) 9.46155e10 4.55644e10i 0.553501 0.266552i −0.136157 0.990687i \(-0.543475\pi\)
0.689658 + 0.724135i \(0.257761\pi\)
\(644\) 3.66751e10i 0.213220i
\(645\) −7.13024e9 + 1.01372e10i −0.0411970 + 0.0585707i
\(646\) −2.47342e10 −0.142026
\(647\) 5.47646e10 + 1.13720e11i 0.312523 + 0.648962i 0.996772 0.0802876i \(-0.0255839\pi\)
−0.684248 + 0.729249i \(0.739870\pi\)
\(648\) 1.58214e9 3.28534e9i 0.00897314 0.0186329i
\(649\) −9.83602e10 + 1.23340e11i −0.554422 + 0.695223i
\(650\) −2.61067e11 5.95868e10i −1.46251 0.333808i
\(651\) 9.98496e9 0.0555933
\(652\) 3.09166e11i 1.71081i
\(653\) 1.09231e11 + 2.49313e10i 0.600750 + 0.137117i 0.512071 0.858943i \(-0.328878\pi\)
0.0886790 + 0.996060i \(0.471735\pi\)
\(654\) −5.57507e10 6.99092e10i −0.304747 0.382141i
\(655\) 1.45011e9 + 6.35333e9i 0.00787833 + 0.0345172i
\(656\) −4.68049e10 5.86915e10i −0.252741 0.316927i
\(657\) 1.71669e10 + 3.56475e10i 0.0921364 + 0.191323i
\(658\) −7.26249e9 + 3.18190e10i −0.0387420 + 0.169740i
\(659\) 3.68448e10 1.77435e10i 0.195359 0.0940801i −0.333647 0.942698i \(-0.608279\pi\)
0.529006 + 0.848618i \(0.322565\pi\)
\(660\) −1.21665e10 + 1.52563e10i −0.0641194 + 0.0804032i
\(661\) −3.60332e10 1.57872e11i −0.188754 0.826986i −0.977275 0.211977i \(-0.932010\pi\)
0.788520 0.615009i \(-0.210847\pi\)
\(662\) −8.28813e10 3.63127e11i −0.431544 1.89072i
\(663\) −5.08792e10 + 1.05652e11i −0.263321 + 0.546792i
\(664\) 3.47101e10 + 2.76804e10i 0.178560 + 0.142397i
\(665\) 4.76890e8 3.80307e8i 0.00243855 0.00194468i
\(666\) 7.27933e10 + 3.50554e10i 0.369994 + 0.178180i
\(667\) 1.41403e10 2.93627e10i 0.0714424 0.148352i
\(668\) 1.05210e11 + 1.31929e11i 0.528384 + 0.662572i
\(669\) −1.42293e11 + 1.78430e11i −0.710362 + 0.890765i
\(670\) 3.21260e9 + 1.54711e9i 0.0159426 + 0.00767753i
\(671\) 2.01367e11 4.59608e10i 0.993342 0.226724i
\(672\) 4.90419e10 1.11935e10i 0.240486 0.0548894i
\(673\) 2.23963e11 + 1.78604e11i 1.09173 + 0.870626i 0.992231 0.124411i \(-0.0397041\pi\)
0.0995003 + 0.995038i \(0.468276\pi\)
\(674\) 1.87292e11 + 3.88917e11i 0.907571 + 1.88459i
\(675\) −2.04207e11 4.66089e10i −0.983683 0.224519i
\(676\) 1.22168e10 5.88329e9i 0.0585019 0.0281730i
\(677\) 1.27180e11 1.01422e11i 0.605428 0.482813i −0.272145 0.962256i \(-0.587733\pi\)
0.877573 + 0.479444i \(0.159161\pi\)
\(678\) 6.09814e10 1.39186e10i 0.288588 0.0658684i
\(679\) 6.67169e9 5.32050e9i 0.0313875 0.0250307i
\(680\) −1.34084e9 + 5.87462e9i −0.00627108 + 0.0274754i
\(681\) −1.60195e11 −0.744834
\(682\) 1.24477e11i 0.575376i
\(683\) −1.49391e10 + 6.54526e10i −0.0686503 + 0.300776i −0.997584 0.0694694i \(-0.977869\pi\)
0.928934 + 0.370246i \(0.120727\pi\)
\(684\) 1.24378e10 + 9.91878e9i 0.0568221 + 0.0453141i
\(685\) −2.34553e10 1.12955e10i −0.106531 0.0513029i
\(686\) 1.52507e11 7.34435e10i 0.688642 0.331632i
\(687\) 2.48371e10i 0.111500i
\(688\) −4.89235e10 1.67229e11i −0.218355 0.746374i
\(689\) −3.46362e11 −1.53693
\(690\) 6.97864e9 + 1.44913e10i 0.0307875 + 0.0639309i
\(691\) −3.50442e10 + 7.27701e10i −0.153711 + 0.319184i −0.963577 0.267431i \(-0.913825\pi\)
0.809866 + 0.586615i \(0.199540\pi\)
\(692\) 1.09548e11 1.37369e11i 0.477726 0.599050i
\(693\) −4.25844e10 9.71960e9i −0.184636 0.0421420i
\(694\) 3.32101e11 1.43163
\(695\) 2.15320e10i 0.0922881i
\(696\) 1.00417e10 + 2.29195e9i 0.0427926 + 0.00976714i
\(697\) −7.02890e10 8.81396e10i −0.297821 0.373456i
\(698\) 1.36195e10 + 5.96711e10i 0.0573773 + 0.251387i
\(699\) −1.30799e11 1.64016e11i −0.547891 0.687034i
\(700\) 3.27429e10 + 6.79913e10i 0.136372 + 0.283179i
\(701\) 9.93553e9 4.35304e10i 0.0411452 0.180269i −0.950180 0.311702i \(-0.899101\pi\)
0.991325 + 0.131433i \(0.0419580\pi\)
\(702\) 3.39502e11 1.63496e11i 1.39796 0.673221i
\(703\) 7.58622e9 9.51282e9i 0.0310602 0.0389482i
\(704\) −8.81270e10 3.86109e11i −0.358772 1.57188i
\(705\) 1.72886e9 + 7.57462e9i 0.00699847 + 0.0306623i
\(706\) 2.80209e11 5.81859e11i 1.12788 2.34207i
\(707\) −3.36400e10 2.68270e10i −0.134641 0.107373i
\(708\) −1.10570e11 + 8.81770e10i −0.440054 + 0.350932i
\(709\) 1.49652e11 + 7.20687e10i 0.592240 + 0.285208i 0.705900 0.708312i \(-0.250543\pi\)
−0.113659 + 0.993520i \(0.536257\pi\)
\(710\) 6.60955e9 1.37249e10i 0.0260099 0.0540101i
\(711\) 1.29437e11 + 1.62309e11i 0.506500 + 0.635131i
\(712\) −4.13706e10 + 5.18771e10i −0.160980 + 0.201862i
\(713\) −5.01774e10 2.41641e10i −0.194156 0.0935004i
\(714\) 5.93549e10 1.35474e10i 0.228383 0.0521269i
\(715\) −3.51470e10 + 8.02208e9i −0.134482 + 0.0306947i
\(716\) −2.25131e11 1.79536e11i −0.856609 0.683123i
\(717\) −1.10822e10 2.30124e10i −0.0419324 0.0870735i
\(718\) 4.62645e11 + 1.05596e11i 1.74081 + 0.397328i
\(719\) −5.36259e10 + 2.58249e10i −0.200659 + 0.0966323i −0.531515 0.847049i \(-0.678377\pi\)
0.330856 + 0.943681i \(0.392663\pi\)
\(720\) −1.05979e10 + 8.45155e9i −0.0394357 + 0.0314490i
\(721\) 9.10613e10 2.07841e10i 0.336971 0.0769115i
\(722\) −3.10754e11 + 2.47818e11i −1.14359 + 0.911979i
\(723\) −1.23733e10 + 5.42111e10i −0.0452828 + 0.198397i
\(724\) 4.86572e10 0.177090
\(725\) 6.70592e10i 0.242721i
\(726\) 2.73085e10 1.19646e11i 0.0982994 0.430678i
\(727\) −1.75576e11 1.40017e11i −0.628531 0.501237i 0.256637 0.966508i \(-0.417386\pi\)
−0.885168 + 0.465271i \(0.845957\pi\)
\(728\) −1.92934e10 9.29121e9i −0.0686884 0.0330786i
\(729\) 1.78736e11 8.60749e10i 0.632853 0.304766i
\(730\) 1.69541e10i 0.0597013i
\(731\) −7.34706e10 2.51134e11i −0.257303 0.879502i
\(732\) 1.85162e11 0.644924
\(733\) 1.53697e11 + 3.19156e11i 0.532415 + 1.10557i 0.977666 + 0.210165i \(0.0674001\pi\)
−0.445251 + 0.895406i \(0.646886\pi\)
\(734\) 1.48436e11 3.08231e11i 0.511394 1.06192i
\(735\) 1.20938e10 1.51651e10i 0.0414394 0.0519633i
\(736\) −2.73539e11 6.24334e10i −0.932196 0.212768i
\(737\) −3.84534e10 −0.130336
\(738\) 1.33580e11i 0.450314i
\(739\) 1.54236e11 + 3.52034e10i 0.517140 + 0.118034i 0.473122 0.880997i \(-0.343127\pi\)
0.0440180 + 0.999031i \(0.485984\pi\)
\(740\) −1.17169e10 1.46926e10i −0.0390739 0.0489971i
\(741\) −4.65624e9 2.04003e10i −0.0154441 0.0676650i
\(742\) 1.12118e11 + 1.40592e11i 0.369881 + 0.463816i
\(743\) 1.36542e11 + 2.83532e11i 0.448034 + 0.930352i 0.995610 + 0.0935961i \(0.0298362\pi\)
−0.547576 + 0.836756i \(0.684449\pi\)
\(744\) 3.91667e9 1.71600e10i 0.0127828 0.0560050i
\(745\) 1.93702e10 9.32819e9i 0.0628794 0.0302811i
\(746\) 1.03136e11 1.29329e11i 0.333009 0.417581i
\(747\) 3.33741e10 + 1.46221e11i 0.107183 + 0.469600i
\(748\) −9.16738e10 4.01649e11i −0.292846 1.28304i
\(749\) 5.90698e10 1.22660e11i 0.187689 0.389739i
\(750\) 5.20734e10 + 4.15271e10i 0.164578 + 0.131246i
\(751\) −2.13722e11 + 1.70437e11i −0.671875 + 0.535802i −0.898937 0.438078i \(-0.855659\pi\)
0.227062 + 0.973880i \(0.427088\pi\)
\(752\) −9.84103e10 4.73919e10i −0.307729 0.148195i
\(753\) −1.00340e11 + 2.08358e11i −0.312101 + 0.648084i
\(754\) 7.52182e10 + 9.43207e10i 0.232722 + 0.291824i
\(755\) 1.61401e10