Properties

Label 43.9.f.a.22.18
Level 43
Weight 9
Character 43.22
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 22.18
Character \(\chi\) \(=\) 43.22
Dual form 43.9.f.a.2.18

$q$-expansion

\(f(q)\) \(=\) \(q+(3.66053 - 7.60117i) q^{2} +(-21.3391 - 44.3111i) q^{3} +(115.235 + 144.500i) q^{4} +(-661.934 + 151.082i) q^{5} -414.929 q^{6} +1496.55i q^{7} +(3625.83 - 827.571i) q^{8} +(2582.60 - 3238.48i) q^{9} +O(q^{10})\) \(q+(3.66053 - 7.60117i) q^{2} +(-21.3391 - 44.3111i) q^{3} +(115.235 + 144.500i) q^{4} +(-661.934 + 151.082i) q^{5} -414.929 q^{6} +1496.55i q^{7} +(3625.83 - 827.571i) q^{8} +(2582.60 - 3238.48i) q^{9} +(-1274.63 + 5584.51i) q^{10} +(11842.3 - 14849.8i) q^{11} +(3943.95 - 8189.71i) q^{12} +(886.406 + 3883.60i) q^{13} +(11375.5 + 5478.16i) q^{14} +(20819.7 + 26107.1i) q^{15} +(-3546.55 + 15538.5i) q^{16} +(13735.0 - 60176.9i) q^{17} +(-15162.5 - 31485.3i) q^{18} +(4230.57 - 3373.77i) q^{19} +(-98109.4 - 78239.7i) q^{20} +(66313.7 - 31935.0i) q^{21} +(-69526.5 - 144373. i) q^{22} +(304616. - 381976. i) q^{23} +(-114043. - 143005. i) q^{24} +(63390.0 - 30527.0i) q^{25} +(32764.6 + 7478.31i) q^{26} +(-513201. - 117135. i) q^{27} +(-216251. + 172455. i) q^{28} +(297850. - 618493. i) q^{29} +(274656. - 62688.3i) q^{30} +(978786. + 471359. i) q^{31} +(849496. + 677451. i) q^{32} +(-910713. - 207864. i) q^{33} +(-407137. - 324681. i) q^{34} +(-226102. - 990615. i) q^{35} +765566. q^{36} -1.33452e6i q^{37} +(-10158.4 - 44507.1i) q^{38} +(153172. - 122150. i) q^{39} +(-2.27503e6 + 1.09560e6i) q^{40} +(-1.03070e6 - 496358. i) q^{41} -620961. i q^{42} +(741059. - 3.33752e6i) q^{43} +3.51044e6 q^{44} +(-1.22023e6 + 2.53384e6i) q^{45} +(-1.78841e6 - 3.71367e6i) q^{46} +(4.02723e6 + 5.04999e6i) q^{47} +(764207. - 174425. i) q^{48} +3.52515e6 q^{49} -593583. i q^{50} +(-2.95960e6 + 675509. i) q^{51} +(-459036. + 575613. i) q^{52} +(-2.36113e6 + 1.03448e7i) q^{53} +(-2.76895e6 + 3.47216e6i) q^{54} +(-5.59528e6 + 1.16187e7i) q^{55} +(1.23850e6 + 5.42622e6i) q^{56} +(-239772. - 115468. i) q^{57} +(-3.61098e6 - 4.52802e6i) q^{58} +(-1.70142e6 + 7.45441e6i) q^{59} +(-1.37332e6 + 6.01691e6i) q^{60} +(-565185. - 1.17362e6i) q^{61} +(7.16575e6 - 5.71450e6i) q^{62} +(4.84653e6 + 3.86498e6i) q^{63} +(4.58294e6 - 2.20703e6i) q^{64} +(-1.17348e6 - 2.43677e6i) q^{65} +(-4.91371e6 + 6.16159e6i) q^{66} +(-7.28354e6 - 9.13327e6i) q^{67} +(1.02783e7 - 4.94978e6i) q^{68} +(-2.34260e7 - 5.34683e6i) q^{69} +(-8.35749e6 - 1.90754e6i) q^{70} +(-8.44302e6 + 6.73308e6i) q^{71} +(6.68398e6 - 1.38794e7i) q^{72} +(-1.13994e7 + 2.60183e6i) q^{73} +(-1.01439e7 - 4.88507e6i) q^{74} +(-2.70537e6 - 2.15746e6i) q^{75} +(975020. + 222542. i) q^{76} +(2.22234e7 + 1.77225e7i) q^{77} +(-367796. - 1.61142e6i) q^{78} +2.23392e7 q^{79} -1.08213e7i q^{80} +(-286509. - 1.25528e6i) q^{81} +(-7.54580e6 + 6.01758e6i) q^{82} +(8.29515e7 - 3.99473e7i) q^{83} +(1.22563e7 + 5.90231e6i) q^{84} +4.19082e7i q^{85} +(-2.26564e7 - 1.78500e7i) q^{86} -3.37620e7 q^{87} +(3.06488e7 - 6.36430e7i) q^{88} +(-1.77432e7 - 3.68441e7i) q^{89} +(1.47935e7 + 1.85504e7i) q^{90} +(-5.81199e6 + 1.32655e6i) q^{91} +9.02980e7 q^{92} -5.34295e7i q^{93} +(5.31276e7 - 1.21260e7i) q^{94} +(-2.29064e6 + 2.87238e6i) q^{95} +(1.18911e7 - 5.20983e7i) q^{96} +(-5.45612e7 + 6.84176e7i) q^{97} +(1.29039e7 - 2.67953e7i) q^{98} +(-1.75067e7 - 7.67019e7i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.66053 7.60117i 0.228783 0.475073i −0.754701 0.656069i \(-0.772218\pi\)
0.983484 + 0.180996i \(0.0579322\pi\)
\(3\) −21.3391 44.3111i −0.263446 0.547051i 0.726723 0.686931i \(-0.241043\pi\)
−0.990168 + 0.139880i \(0.955328\pi\)
\(4\) 115.235 + 144.500i 0.450137 + 0.564454i
\(5\) −661.934 + 151.082i −1.05909 + 0.241731i −0.716382 0.697709i \(-0.754203\pi\)
−0.342713 + 0.939440i \(0.611346\pi\)
\(6\) −414.929 −0.320161
\(7\) 1496.55i 0.623301i 0.950197 + 0.311651i \(0.100882\pi\)
−0.950197 + 0.311651i \(0.899118\pi\)
\(8\) 3625.83 827.571i 0.885212 0.202044i
\(9\) 2582.60 3238.48i 0.393629 0.493595i
\(10\) −1274.63 + 5584.51i −0.127463 + 0.558451i
\(11\) 11842.3 14849.8i 0.808844 1.01426i −0.190625 0.981663i \(-0.561051\pi\)
0.999469 0.0325951i \(-0.0103772\pi\)
\(12\) 3943.95 8189.71i 0.190198 0.394951i
\(13\) 886.406 + 3883.60i 0.0310355 + 0.135976i 0.988072 0.153991i \(-0.0492128\pi\)
−0.957037 + 0.289967i \(0.906356\pi\)
\(14\) 11375.5 + 5478.16i 0.296114 + 0.142601i
\(15\) 20819.7 + 26107.1i 0.411254 + 0.515696i
\(16\) −3546.55 + 15538.5i −0.0541161 + 0.237098i
\(17\) 13735.0 60176.9i 0.164449 0.720500i −0.823703 0.567022i \(-0.808095\pi\)
0.988152 0.153478i \(-0.0490474\pi\)
\(18\) −15162.5 31485.3i −0.144438 0.299929i
\(19\) 4230.57 3373.77i 0.0324627 0.0258881i −0.607124 0.794607i \(-0.707677\pi\)
0.639587 + 0.768719i \(0.279105\pi\)
\(20\) −98109.4 78239.7i −0.613184 0.488998i
\(21\) 66313.7 31935.0i 0.340978 0.164206i
\(22\) −69526.5 144373.i −0.296797 0.616305i
\(23\) 304616. 381976.i 1.08853 1.36497i 0.162858 0.986649i \(-0.447929\pi\)
0.925673 0.378325i \(-0.123500\pi\)
\(24\) −114043. 143005.i −0.343734 0.431028i
\(25\) 63390.0 30527.0i 0.162278 0.0781491i
\(26\) 32764.6 + 7478.31i 0.0716988 + 0.0163648i
\(27\) −513201. 117135.i −0.965679 0.220410i
\(28\) −216251. + 172455.i −0.351825 + 0.280571i
\(29\) 297850. 618493.i 0.421120 0.874465i −0.577204 0.816600i \(-0.695856\pi\)
0.998324 0.0578654i \(-0.0184294\pi\)
\(30\) 274656. 62688.3i 0.339081 0.0773930i
\(31\) 978786. + 471359.i 1.05984 + 0.510393i 0.880820 0.473452i \(-0.156992\pi\)
0.179022 + 0.983845i \(0.442707\pi\)
\(32\) 849496. + 677451.i 0.810143 + 0.646067i
\(33\) −910713. 207864.i −0.767938 0.175277i
\(34\) −407137. 324681.i −0.304667 0.242964i
\(35\) −226102. 990615.i −0.150672 0.660135i
\(36\) 765566. 0.455798
\(37\) 1.33452e6i 0.712065i −0.934474 0.356032i \(-0.884129\pi\)
0.934474 0.356032i \(-0.115871\pi\)
\(38\) −10158.4 44507.1i −0.00487184 0.0213449i
\(39\) 153172. 122150.i 0.0662094 0.0528002i
\(40\) −2.27503e6 + 1.09560e6i −0.888683 + 0.427967i
\(41\) −1.03070e6 496358.i −0.364751 0.175655i 0.242526 0.970145i \(-0.422024\pi\)
−0.607277 + 0.794490i \(0.707738\pi\)
\(42\) 620961.i 0.199557i
\(43\) 741059. 3.33752e6i 0.216760 0.976225i
\(44\) 3.51044e6 0.936593
\(45\) −1.22023e6 + 2.53384e6i −0.297573 + 0.617916i
\(46\) −1.78841e6 3.71367e6i −0.399425 0.829415i
\(47\) 4.02723e6 + 5.04999e6i 0.825306 + 1.03490i 0.998746 + 0.0500568i \(0.0159402\pi\)
−0.173440 + 0.984844i \(0.555488\pi\)
\(48\) 764207. 174425.i 0.143961 0.0328583i
\(49\) 3.52515e6 0.611495
\(50\) 593583.i 0.0949732i
\(51\) −2.95960e6 + 675509.i −0.437474 + 0.0998505i
\(52\) −459036. + 575613.i −0.0627817 + 0.0787258i
\(53\) −2.36113e6 + 1.03448e7i −0.299238 + 1.31105i 0.572027 + 0.820235i \(0.306157\pi\)
−0.871265 + 0.490813i \(0.836700\pi\)
\(54\) −2.76895e6 + 3.47216e6i −0.325642 + 0.408342i
\(55\) −5.59528e6 + 1.16187e7i −0.611464 + 1.26972i
\(56\) 1.23850e6 + 5.42622e6i 0.125934 + 0.551754i
\(57\) −239772. 115468.i −0.0227143 0.0109386i
\(58\) −3.61098e6 4.52802e6i −0.319090 0.400126i
\(59\) −1.70142e6 + 7.45441e6i −0.140412 + 0.615185i 0.854927 + 0.518748i \(0.173602\pi\)
−0.995339 + 0.0964367i \(0.969255\pi\)
\(60\) −1.37332e6 + 6.01691e6i −0.105966 + 0.464267i
\(61\) −565185. 1.17362e6i −0.0408198 0.0847633i 0.879562 0.475785i \(-0.157836\pi\)
−0.920381 + 0.391022i \(0.872122\pi\)
\(62\) 7.16575e6 5.71450e6i 0.484948 0.386733i
\(63\) 4.84653e6 + 3.86498e6i 0.307658 + 0.245349i
\(64\) 4.58294e6 2.20703e6i 0.273165 0.131549i
\(65\) −1.17348e6 2.43677e6i −0.0657391 0.136509i
\(66\) −4.91371e6 + 6.16159e6i −0.258960 + 0.324726i
\(67\) −7.28354e6 9.13327e6i −0.361446 0.453239i 0.567544 0.823343i \(-0.307894\pi\)
−0.928990 + 0.370104i \(0.879322\pi\)
\(68\) 1.02783e7 4.94978e6i 0.480714 0.231500i
\(69\) −2.34260e7 5.34683e6i −1.03348 0.235885i
\(70\) −8.35749e6 1.90754e6i −0.348084 0.0794478i
\(71\) −8.44302e6 + 6.73308e6i −0.332250 + 0.264960i −0.775377 0.631498i \(-0.782440\pi\)
0.443128 + 0.896458i \(0.353869\pi\)
\(72\) 6.68398e6 1.38794e7i 0.248717 0.516466i
\(73\) −1.13994e7 + 2.60183e6i −0.401411 + 0.0916194i −0.418460 0.908235i \(-0.637430\pi\)
0.0170491 + 0.999855i \(0.494573\pi\)
\(74\) −1.01439e7 4.88507e6i −0.338283 0.162908i
\(75\) −2.70537e6 2.15746e6i −0.0855031 0.0681864i
\(76\) 975020. + 222542.i 0.0292253 + 0.00667049i
\(77\) 2.22234e7 + 1.77225e7i 0.632189 + 0.504154i
\(78\) −367796. 1.61142e6i −0.00993638 0.0435341i
\(79\) 2.23392e7 0.573533 0.286767 0.958000i \(-0.407420\pi\)
0.286767 + 0.958000i \(0.407420\pi\)
\(80\) 1.08213e7i 0.264191i
\(81\) −286509. 1.25528e6i −0.00665577 0.0291608i
\(82\) −7.54580e6 + 6.01758e6i −0.166898 + 0.133096i
\(83\) 8.29515e7 3.99473e7i 1.74788 0.841735i 0.768463 0.639894i \(-0.221022\pi\)
0.979418 0.201841i \(-0.0646926\pi\)
\(84\) 1.22563e7 + 5.90231e6i 0.246174 + 0.118551i
\(85\) 4.19082e7i 0.802830i
\(86\) −2.26564e7 1.78500e7i −0.414187 0.326321i
\(87\) −3.37620e7 −0.589320
\(88\) 3.06488e7 6.36430e7i 0.511073 1.06126i
\(89\) −1.77432e7 3.68441e7i −0.282795 0.587230i 0.710386 0.703812i \(-0.248520\pi\)
−0.993181 + 0.116582i \(0.962806\pi\)
\(90\) 1.47935e7 + 1.85504e7i 0.225476 + 0.282738i
\(91\) −5.81199e6 + 1.32655e6i −0.0847538 + 0.0193445i
\(92\) 9.02980e7 1.26045
\(93\) 5.34295e7i 0.714249i
\(94\) 5.31276e7 1.21260e7i 0.680470 0.155313i
\(95\) −2.29064e6 + 2.87238e6i −0.0281231 + 0.0352652i
\(96\) 1.18911e7 5.20983e7i 0.140003 0.613393i
\(97\) −5.45612e7 + 6.84176e7i −0.616307 + 0.772825i −0.987820 0.155603i \(-0.950268\pi\)
0.371512 + 0.928428i \(0.378839\pi\)
\(98\) 1.29039e7 2.67953e7i 0.139900 0.290505i
\(99\) −1.75067e7 7.67019e7i −0.182248 0.798482i
\(100\) 1.17159e7 + 5.64208e6i 0.117159 + 0.0564208i
\(101\) −9.68966e7 1.21504e8i −0.931157 1.16763i −0.985596 0.169117i \(-0.945908\pi\)
0.0544389 0.998517i \(-0.482663\pi\)
\(102\) −5.69904e6 + 2.49691e7i −0.0526503 + 0.230676i
\(103\) −1.31279e7 + 5.75169e7i −0.116639 + 0.511030i 0.882529 + 0.470258i \(0.155839\pi\)
−0.999168 + 0.0407725i \(0.987018\pi\)
\(104\) 6.42791e6 + 1.33477e7i 0.0549461 + 0.114097i
\(105\) −3.90705e7 + 3.11577e7i −0.321434 + 0.256335i
\(106\) 6.99895e7 + 5.58148e7i 0.554383 + 0.442105i
\(107\) −1.87626e8 + 9.03559e7i −1.43139 + 0.689321i −0.979256 0.202629i \(-0.935052\pi\)
−0.452134 + 0.891950i \(0.649337\pi\)
\(108\) −4.22128e7 8.76558e7i −0.310277 0.644296i
\(109\) 7.67252e7 9.62104e7i 0.543541 0.681579i −0.431879 0.901931i \(-0.642149\pi\)
0.975420 + 0.220353i \(0.0707208\pi\)
\(110\) 6.78341e7 + 8.50613e7i 0.463316 + 0.580980i
\(111\) −5.91343e7 + 2.84776e7i −0.389536 + 0.187591i
\(112\) −2.32540e7 5.30758e6i −0.147784 0.0337307i
\(113\) −1.20827e8 2.75781e7i −0.741058 0.169142i −0.164705 0.986343i \(-0.552667\pi\)
−0.576352 + 0.817201i \(0.695524\pi\)
\(114\) −1.75539e6 + 1.39987e6i −0.0103933 + 0.00828838i
\(115\) −1.43926e8 + 2.98865e8i −0.822900 + 1.70877i
\(116\) 1.23695e8 2.82326e7i 0.683157 0.155926i
\(117\) 1.48662e7 + 7.15917e6i 0.0793333 + 0.0382049i
\(118\) 5.04342e7 + 4.02199e7i 0.260134 + 0.207450i
\(119\) 9.00575e7 + 2.05550e7i 0.449089 + 0.102502i
\(120\) 9.70942e7 + 7.74300e7i 0.468240 + 0.373409i
\(121\) −3.25762e7 1.42725e8i −0.151970 0.665825i
\(122\) −1.09898e7 −0.0496076
\(123\) 5.62633e7i 0.245813i
\(124\) 4.46791e7 + 1.95752e8i 0.188981 + 0.827979i
\(125\) 1.70008e8 1.35576e8i 0.696351 0.555321i
\(126\) 4.71192e7 2.26914e7i 0.186946 0.0900284i
\(127\) −1.46240e8 7.04255e7i −0.562149 0.270717i 0.131155 0.991362i \(-0.458131\pi\)
−0.693304 + 0.720645i \(0.743846\pi\)
\(128\) 2.35241e8i 0.876342i
\(129\) −1.63703e8 + 3.83825e7i −0.591149 + 0.138604i
\(130\) −2.28179e7 −0.0798916
\(131\) −1.62351e8 + 3.37126e8i −0.551277 + 1.14474i 0.420162 + 0.907449i \(0.361973\pi\)
−0.971439 + 0.237290i \(0.923741\pi\)
\(132\) −7.49097e7 1.55552e8i −0.246742 0.512364i
\(133\) 5.04900e6 + 6.33125e6i 0.0161361 + 0.0202340i
\(134\) −9.60852e7 + 2.19308e7i −0.298014 + 0.0680199i
\(135\) 3.57402e8 1.07603
\(136\) 2.29558e8i 0.671021i
\(137\) 8.29154e7 1.89249e7i 0.235371 0.0537219i −0.103208 0.994660i \(-0.532911\pi\)
0.338579 + 0.940938i \(0.390054\pi\)
\(138\) −1.26394e8 + 1.58493e8i −0.348505 + 0.437012i
\(139\) −9.04460e7 + 3.96270e8i −0.242287 + 1.06153i 0.696642 + 0.717418i \(0.254676\pi\)
−0.938929 + 0.344110i \(0.888181\pi\)
\(140\) 1.17089e8 1.46825e8i 0.304793 0.382199i
\(141\) 1.37833e8 2.86213e8i 0.348720 0.724125i
\(142\) 2.02734e7 + 8.88235e7i 0.0498623 + 0.218461i
\(143\) 6.81676e7 + 3.28278e7i 0.163017 + 0.0785050i
\(144\) 4.11616e7 + 5.16150e7i 0.0957288 + 0.120040i
\(145\) −1.03714e8 + 4.54401e8i −0.234620 + 1.02794i
\(146\) −2.19508e7 + 9.61725e7i −0.0483101 + 0.211660i
\(147\) −7.52236e7 1.56203e8i −0.161096 0.334519i
\(148\) 1.92839e8 1.53784e8i 0.401928 0.320527i
\(149\) 3.79537e8 + 3.02671e8i 0.770032 + 0.614080i 0.927663 0.373418i \(-0.121814\pi\)
−0.157631 + 0.987498i \(0.550386\pi\)
\(150\) −2.63023e7 + 1.26665e7i −0.0519552 + 0.0250203i
\(151\) −2.69160e8 5.58917e8i −0.517729 1.07508i −0.981912 0.189337i \(-0.939366\pi\)
0.464183 0.885739i \(-0.346348\pi\)
\(152\) 1.25473e7 1.57338e7i 0.0235058 0.0294754i
\(153\) −1.59409e8 1.99893e8i −0.290903 0.364781i
\(154\) 2.16061e8 1.04050e8i 0.384144 0.184994i
\(155\) −7.19106e8 1.64131e8i −1.24585 0.284357i
\(156\) 3.53015e7 + 8.05733e6i 0.0596066 + 0.0136048i
\(157\) −3.39784e8 + 2.70969e8i −0.559247 + 0.445985i −0.861873 0.507125i \(-0.830708\pi\)
0.302625 + 0.953110i \(0.402137\pi\)
\(158\) 8.17732e7 1.69804e8i 0.131215 0.272470i
\(159\) 5.08774e8 1.16124e8i 0.796043 0.181692i
\(160\) −6.64661e8 3.20084e8i −1.01419 0.488409i
\(161\) 5.71645e8 + 4.55872e8i 0.850791 + 0.678483i
\(162\) −1.05904e7 2.41718e6i −0.0153763 0.00350953i
\(163\) −7.74511e8 6.17652e8i −1.09718 0.874971i −0.104353 0.994540i \(-0.533277\pi\)
−0.992826 + 0.119570i \(0.961848\pi\)
\(164\) −4.70487e7 2.06134e8i −0.0650388 0.284954i
\(165\) 6.34237e8 0.855688
\(166\) 7.76757e8i 1.02295i
\(167\) −1.35846e8 5.95180e8i −0.174655 0.765214i −0.984042 0.177938i \(-0.943057\pi\)
0.809387 0.587276i \(-0.199800\pi\)
\(168\) 2.14014e8 1.70670e8i 0.268661 0.214250i
\(169\) 7.20651e8 3.47047e8i 0.883443 0.425444i
\(170\) 3.18552e8 + 1.53406e8i 0.381403 + 0.183674i
\(171\) 2.24137e7i 0.0262137i
\(172\) 5.67668e8 2.77516e8i 0.648606 0.317084i
\(173\) −7.54273e8 −0.842062 −0.421031 0.907046i \(-0.638332\pi\)
−0.421031 + 0.907046i \(0.638332\pi\)
\(174\) −1.23587e8 + 2.56631e8i −0.134826 + 0.279970i
\(175\) 4.56851e7 + 9.48660e7i 0.0487105 + 0.101148i
\(176\) 1.88743e8 + 2.36676e8i 0.196707 + 0.246663i
\(177\) 3.66620e8 8.36787e7i 0.373528 0.0852554i
\(178\) −3.45008e8 −0.343676
\(179\) 9.55151e8i 0.930379i 0.885211 + 0.465190i \(0.154014\pi\)
−0.885211 + 0.465190i \(0.845986\pi\)
\(180\) −5.06754e8 + 1.15663e8i −0.482734 + 0.110181i
\(181\) −5.82846e8 + 7.30866e8i −0.543050 + 0.680963i −0.975324 0.220779i \(-0.929140\pi\)
0.432274 + 0.901742i \(0.357711\pi\)
\(182\) −1.11916e7 + 4.90338e7i −0.0102002 + 0.0446899i
\(183\) −3.99438e7 + 5.00880e7i −0.0356160 + 0.0446611i
\(184\) 7.88371e8 1.63707e9i 0.687796 1.42822i
\(185\) 2.01623e8 + 8.83367e8i 0.172128 + 0.754144i
\(186\) −4.06127e8 1.95580e8i −0.339320 0.163408i
\(187\) −7.30958e8 9.16592e8i −0.597759 0.749566i
\(188\) −2.65646e8 + 1.16387e9i −0.212653 + 0.931695i
\(189\) 1.75298e8 7.68030e8i 0.137382 0.601909i
\(190\) 1.34484e7 + 2.79260e7i 0.0103195 + 0.0214286i
\(191\) 9.47832e8 7.55871e8i 0.712193 0.567955i −0.198967 0.980006i \(-0.563759\pi\)
0.911161 + 0.412051i \(0.135187\pi\)
\(192\) −1.95592e8 1.55979e8i −0.143928 0.114779i
\(193\) −2.13461e8 + 1.02797e8i −0.153847 + 0.0740889i −0.509223 0.860635i \(-0.670067\pi\)
0.355376 + 0.934723i \(0.384353\pi\)
\(194\) 3.20331e8 + 6.65174e8i 0.226148 + 0.469600i
\(195\) −8.29348e7 + 1.03997e8i −0.0573585 + 0.0719253i
\(196\) 4.06221e8 + 5.09385e8i 0.275257 + 0.345161i
\(197\) 2.19628e9 1.05767e9i 1.45822 0.702243i 0.474221 0.880406i \(-0.342730\pi\)
0.984001 + 0.178163i \(0.0570155\pi\)
\(198\) −6.47108e8 1.47698e8i −0.421033 0.0960980i
\(199\) 1.38782e9 + 3.16761e8i 0.884954 + 0.201985i 0.640760 0.767742i \(-0.278620\pi\)
0.244194 + 0.969726i \(0.421477\pi\)
\(200\) 2.04578e8 1.63145e8i 0.127861 0.101966i
\(201\) −2.49281e8 + 5.17638e8i −0.152723 + 0.317133i
\(202\) −1.27827e9 + 2.91757e8i −0.767745 + 0.175233i
\(203\) 9.25603e8 + 4.45747e8i 0.545056 + 0.262485i
\(204\) −4.38661e8 3.49820e8i −0.253284 0.201987i
\(205\) 7.57245e8 + 1.72836e8i 0.428767 + 0.0978632i
\(206\) 3.89141e8 + 3.10329e8i 0.216092 + 0.172327i
\(207\) −4.50320e8 1.97298e9i −0.245267 1.07459i
\(208\) −6.34889e7 −0.0339191
\(209\) 1.02776e8i 0.0538650i
\(210\) 9.38161e7 + 4.11035e8i 0.0482392 + 0.211350i
\(211\) −1.24917e9 + 9.96181e8i −0.630220 + 0.502584i −0.885717 0.464226i \(-0.846332\pi\)
0.255497 + 0.966810i \(0.417761\pi\)
\(212\) −1.76691e9 + 8.50899e8i −0.874724 + 0.421245i
\(213\) 4.78517e8 + 2.30442e8i 0.232476 + 0.111955i
\(214\) 1.75693e9i 0.837720i
\(215\) 1.37070e7 + 2.32118e9i 0.00641487 + 1.08631i
\(216\) −1.95772e9 −0.899363
\(217\) −7.05410e8 + 1.46480e9i −0.318129 + 0.660601i
\(218\) −4.50457e8 9.35383e8i −0.199447 0.414155i
\(219\) 3.58542e8 + 4.49598e8i 0.155871 + 0.195455i
\(220\) −2.32368e9 + 5.30365e8i −0.991940 + 0.226404i
\(221\) 2.45878e8 0.103074
\(222\) 5.53733e8i 0.227976i
\(223\) −2.07777e9 + 4.74238e8i −0.840192 + 0.191768i −0.620899 0.783891i \(-0.713232\pi\)
−0.219293 + 0.975659i \(0.570375\pi\)
\(224\) −1.01384e9 + 1.27131e9i −0.402695 + 0.504963i
\(225\) 6.48499e7 2.84126e8i 0.0253034 0.110861i
\(226\) −6.51918e8 + 8.17480e8i −0.249896 + 0.313360i
\(227\) 1.57477e9 3.27005e9i 0.593081 1.23155i −0.361159 0.932504i \(-0.617619\pi\)
0.954240 0.299041i \(-0.0966668\pi\)
\(228\) −1.09450e7 4.79531e7i −0.00405019 0.0177451i
\(229\) 2.21826e9 + 1.06826e9i 0.806621 + 0.388448i 0.791295 0.611434i \(-0.209407\pi\)
0.0153259 + 0.999883i \(0.495121\pi\)
\(230\) 1.74488e9 + 2.18801e9i 0.623525 + 0.781875i
\(231\) 3.11079e8 1.36293e9i 0.109250 0.478657i
\(232\) 5.68107e8 2.48904e9i 0.196100 0.859172i
\(233\) 1.17099e9 + 2.43159e9i 0.397311 + 0.825025i 0.999641 + 0.0267783i \(0.00852483\pi\)
−0.602330 + 0.798247i \(0.705761\pi\)
\(234\) 1.08836e8 8.67939e7i 0.0363003 0.0289485i
\(235\) −3.42872e9 2.73432e9i −1.12425 0.896556i
\(236\) −1.27323e9 + 6.13154e8i −0.410448 + 0.197661i
\(237\) −4.76698e8 9.89874e8i −0.151095 0.313752i
\(238\) 4.85900e8 6.09300e8i 0.151440 0.189899i
\(239\) 1.97467e9 + 2.47615e9i 0.605204 + 0.758902i 0.986179 0.165683i \(-0.0529830\pi\)
−0.380975 + 0.924585i \(0.624412\pi\)
\(240\) −4.79502e8 + 2.30916e8i −0.144526 + 0.0696000i
\(241\) 5.31924e9 + 1.21408e9i 1.57682 + 0.359898i 0.919305 0.393546i \(-0.128752\pi\)
0.657512 + 0.753444i \(0.271609\pi\)
\(242\) −1.20413e9 2.74834e8i −0.351084 0.0801326i
\(243\) −2.74973e9 + 2.19283e9i −0.788613 + 0.628898i
\(244\) 1.04459e8 2.16911e8i 0.0294704 0.0611960i
\(245\) −2.33342e9 + 5.32587e8i −0.647631 + 0.147818i
\(246\) 4.27667e8 + 2.05953e8i 0.116779 + 0.0562378i
\(247\) 1.68524e7 + 1.34393e7i 0.00452765 + 0.00361068i
\(248\) 3.93899e9 + 8.99050e8i 1.04131 + 0.237671i
\(249\) −3.54022e9 2.82323e9i −0.920944 0.734429i
\(250\) −4.08222e8 1.78854e9i −0.104505 0.457866i
\(251\) 5.41738e9 1.36488 0.682440 0.730941i \(-0.260919\pi\)
0.682440 + 0.730941i \(0.260919\pi\)
\(252\) 1.14571e9i 0.284100i
\(253\) −2.06490e9 9.04693e9i −0.503985 2.20810i
\(254\) −1.07063e9 + 8.53801e8i −0.257221 + 0.205127i
\(255\) 1.85700e9 8.94285e8i 0.439189 0.211502i
\(256\) 2.96134e9 + 1.42611e9i 0.689491 + 0.332041i
\(257\) 3.84618e9i 0.881653i 0.897592 + 0.440826i \(0.145315\pi\)
−0.897592 + 0.440826i \(0.854685\pi\)
\(258\) −3.07487e8 + 1.38483e9i −0.0693982 + 0.312549i
\(259\) 1.99718e9 0.443831
\(260\) 2.16887e8 4.50370e8i 0.0474613 0.0985544i
\(261\) −1.23375e9 2.56190e9i −0.265866 0.552077i
\(262\) 1.96826e9 + 2.46812e9i 0.417712 + 0.523794i
\(263\) −5.22605e9 + 1.19281e9i −1.09232 + 0.249316i −0.730487 0.682926i \(-0.760707\pi\)
−0.361836 + 0.932242i \(0.617850\pi\)
\(264\) −3.47411e9 −0.715201
\(265\) 7.20430e9i 1.46086i
\(266\) 6.66069e7 1.52026e7i 0.0133043 0.00303662i
\(267\) −1.25398e9 + 1.57244e9i −0.246743 + 0.309407i
\(268\) 4.80441e8 2.10495e9i 0.0931323 0.408039i
\(269\) 2.83984e9 3.56104e9i 0.542356 0.680092i −0.432831 0.901475i \(-0.642485\pi\)
0.975187 + 0.221382i \(0.0710569\pi\)
\(270\) 1.30828e9 2.71668e9i 0.246176 0.511191i
\(271\) −5.01155e8 2.19570e9i −0.0929170 0.407096i 0.906984 0.421165i \(-0.138379\pi\)
−0.999901 + 0.0140691i \(0.995522\pi\)
\(272\) 8.86344e8 + 4.26841e8i 0.161930 + 0.0779813i
\(273\) 1.82804e8 + 2.29228e8i 0.0329105 + 0.0412684i
\(274\) 1.59663e8 6.99529e8i 0.0283271 0.124109i
\(275\) 2.97363e8 1.30283e9i 0.0519944 0.227802i
\(276\) −1.92688e9 4.00121e9i −0.332061 0.689532i
\(277\) −1.38538e9 + 1.10481e9i −0.235316 + 0.187658i −0.734047 0.679099i \(-0.762371\pi\)
0.498731 + 0.866757i \(0.333799\pi\)
\(278\) 2.68103e9 + 2.13805e9i 0.448872 + 0.357964i
\(279\) 4.05429e9 1.95245e9i 0.669112 0.322227i
\(280\) −1.63961e9 3.40469e9i −0.266752 0.553917i
\(281\) −2.04423e9 + 2.56338e9i −0.327872 + 0.411138i −0.918258 0.395983i \(-0.870404\pi\)
0.590386 + 0.807121i \(0.298975\pi\)
\(282\) −1.67101e9 2.09539e9i −0.264231 0.331335i
\(283\) 4.16788e9 2.00715e9i 0.649785 0.312920i −0.0797990 0.996811i \(-0.525428\pi\)
0.729584 + 0.683891i \(0.239714\pi\)
\(284\) −1.94586e9 4.44131e8i −0.299116 0.0682712i
\(285\) 1.76159e8 + 4.02070e7i 0.0267008 + 0.00609428i
\(286\) 4.99059e8 3.97986e8i 0.0745912 0.0594845i
\(287\) 7.42823e8 1.54249e9i 0.109486 0.227350i
\(288\) 4.38781e9 1.00149e9i 0.637791 0.145572i
\(289\) 2.85234e9 + 1.37361e9i 0.408893 + 0.196912i
\(290\) 3.07433e9 + 2.45170e9i 0.434669 + 0.346637i
\(291\) 4.19595e9 + 9.57699e8i 0.585138 + 0.133554i
\(292\) −1.68957e9 1.34739e9i −0.232405 0.185337i
\(293\) 1.74483e9 + 7.64461e9i 0.236746 + 1.03725i 0.943910 + 0.330204i \(0.107117\pi\)
−0.707163 + 0.707050i \(0.750025\pi\)
\(294\) −1.46269e9 −0.195777
\(295\) 5.19139e9i 0.685481i
\(296\) −1.10441e9 4.83875e9i −0.143868 0.630328i
\(297\) −7.81690e9 + 6.23377e9i −1.00464 + 0.801170i
\(298\) 3.68996e9 1.77699e9i 0.467904 0.225330i
\(299\) 1.75345e9 + 8.44419e8i 0.219386 + 0.105651i
\(300\) 6.39542e8i 0.0789558i
\(301\) 4.99475e9 + 1.10903e9i 0.608482 + 0.135107i
\(302\) −5.23369e9 −0.629187
\(303\) −3.31631e9 + 6.88640e9i −0.393446 + 0.816999i
\(304\) 3.74192e7 + 7.77018e7i 0.00438127 + 0.00909781i
\(305\) 5.51428e8 + 6.91469e8i 0.0637220 + 0.0799049i
\(306\) −2.10294e9 + 4.79983e8i −0.239851 + 0.0547445i
\(307\) −8.11817e9 −0.913913 −0.456957 0.889489i \(-0.651061\pi\)
−0.456957 + 0.889489i \(0.651061\pi\)
\(308\) 5.25354e9i 0.583780i
\(309\) 2.82878e9 6.45650e8i 0.310288 0.0708212i
\(310\) −3.87990e9 + 4.86524e9i −0.420120 + 0.526814i
\(311\) −6.64729e8 + 2.91237e9i −0.0710564 + 0.311319i −0.997949 0.0640071i \(-0.979612\pi\)
0.926893 + 0.375326i \(0.122469\pi\)
\(312\) 4.54286e8 5.69656e8i 0.0479414 0.0601166i
\(313\) −2.61025e9 + 5.42025e9i −0.271960 + 0.564731i −0.991559 0.129659i \(-0.958612\pi\)
0.719598 + 0.694390i \(0.244326\pi\)
\(314\) 8.15889e8 + 3.57464e9i 0.0839291 + 0.367717i
\(315\) −3.79201e9 1.82614e9i −0.385148 0.185477i
\(316\) 2.57426e9 + 3.22801e9i 0.258169 + 0.323733i
\(317\) −2.11470e9 + 9.26511e9i −0.209417 + 0.917516i 0.755539 + 0.655104i \(0.227375\pi\)
−0.964956 + 0.262412i \(0.915482\pi\)
\(318\) 9.79702e8 4.29235e9i 0.0958044 0.419747i
\(319\) −5.65724e9 1.17474e10i −0.546313 1.13443i
\(320\) −2.70016e9 + 2.15331e9i −0.257508 + 0.205355i
\(321\) 8.00755e9 + 6.38581e9i 0.754188 + 0.601445i
\(322\) 5.55768e9 2.67644e9i 0.516976 0.248962i
\(323\) −1.44916e8 3.00921e8i −0.0133139 0.0276466i
\(324\) 1.48372e8 1.86053e8i 0.0134639 0.0168832i
\(325\) 1.74744e8 + 2.19122e8i 0.0156628 + 0.0196405i
\(326\) −7.53000e9 + 3.62626e9i −0.666691 + 0.321061i
\(327\) −5.90044e9 1.34674e9i −0.516052 0.117786i
\(328\) −4.14791e9 9.46732e8i −0.358372 0.0817960i
\(329\) −7.55754e9 + 6.02694e9i −0.645055 + 0.514415i
\(330\) 2.32164e9 4.82094e9i 0.195767 0.406514i
\(331\) −1.63199e10 + 3.72490e9i −1.35958 + 0.310315i −0.839294 0.543677i \(-0.817032\pi\)
−0.520285 + 0.853992i \(0.674174\pi\)
\(332\) 1.53313e10 + 7.38318e9i 1.26191 + 0.607702i
\(333\) −4.32182e9 3.44654e9i −0.351471 0.280289i
\(334\) −5.02133e9 1.14609e9i −0.403491 0.0920941i
\(335\) 6.20110e9 + 4.94521e9i 0.492368 + 0.392650i
\(336\) 2.61036e8 + 1.14367e9i 0.0204806 + 0.0897314i
\(337\) 3.75338e9 0.291006 0.145503 0.989358i \(-0.453520\pi\)
0.145503 + 0.989358i \(0.453520\pi\)
\(338\) 6.74817e9i 0.517034i
\(339\) 1.35634e9 + 5.94250e9i 0.102700 + 0.449956i
\(340\) −6.05575e9 + 4.82930e9i −0.453161 + 0.361384i
\(341\) 1.85906e10 8.95277e9i 1.37492 0.662125i
\(342\) −1.70370e8 8.20460e7i −0.0124534 0.00599726i
\(343\) 1.39028e10i 1.00445i
\(344\) −7.50817e7 1.27145e10i −0.00536167 0.907961i
\(345\) 1.63143e10 1.15157
\(346\) −2.76104e9 + 5.73335e9i −0.192650 + 0.400041i
\(347\) −1.07340e10 2.22894e10i −0.740363 1.53738i −0.840140 0.542370i \(-0.817527\pi\)
0.0997762 0.995010i \(-0.468187\pi\)
\(348\) −3.89057e9 4.87861e9i −0.265275 0.332644i
\(349\) −1.96381e10 + 4.48226e9i −1.32372 + 0.302131i −0.825247 0.564772i \(-0.808964\pi\)
−0.498477 + 0.866903i \(0.666107\pi\)
\(350\) 8.88324e8 0.0591970
\(351\) 2.09690e9i 0.138149i
\(352\) 2.01200e10 4.59225e9i 1.31056 0.299126i
\(353\) −5.81445e9 + 7.29109e9i −0.374464 + 0.469563i −0.932979 0.359932i \(-0.882800\pi\)
0.558515 + 0.829495i \(0.311371\pi\)
\(354\) 7.05969e8 3.09305e9i 0.0449544 0.196958i
\(355\) 4.57147e9 5.73245e9i 0.287834 0.360933i
\(356\) 3.27934e9 6.80963e9i 0.204168 0.423959i
\(357\) −1.01093e9 4.42918e9i −0.0622370 0.272678i
\(358\) 7.26027e9 + 3.49636e9i 0.441998 + 0.212855i
\(359\) 1.80759e10 + 2.26665e10i 1.08823 + 1.36460i 0.925857 + 0.377874i \(0.123345\pi\)
0.162377 + 0.986729i \(0.448084\pi\)
\(360\) −2.32742e9 + 1.01971e10i −0.138569 + 0.607109i
\(361\) −3.77268e9 + 1.65292e10i −0.222137 + 0.973247i
\(362\) 3.42191e9 + 7.10567e9i 0.199267 + 0.413781i
\(363\) −5.62918e9 + 4.48912e9i −0.324204 + 0.258544i
\(364\) −8.61432e8 6.86969e8i −0.0490699 0.0391319i
\(365\) 7.15254e9 3.44448e9i 0.402985 0.194067i
\(366\) 2.34512e8 + 4.86968e8i 0.0130689 + 0.0271379i
\(367\) 9.33908e9 1.17108e10i 0.514802 0.645541i −0.454694 0.890647i \(-0.650252\pi\)
0.969496 + 0.245107i \(0.0788230\pi\)
\(368\) 4.85498e9 + 6.08796e9i 0.264726 + 0.331956i
\(369\) −4.26932e9 + 2.05600e9i −0.230279 + 0.110896i
\(370\) 7.45267e9 + 1.70102e9i 0.397654 + 0.0907618i
\(371\) −1.54815e10 3.53354e9i −0.817178 0.186516i
\(372\) 7.72058e9 6.15695e9i 0.403161 0.321510i
\(373\) −5.44569e9 + 1.13081e10i −0.281331 + 0.584190i −0.992971 0.118354i \(-0.962238\pi\)
0.711640 + 0.702544i \(0.247953\pi\)
\(374\) −9.64287e9 + 2.20092e9i −0.492856 + 0.112491i
\(375\) −9.63536e9 4.64014e9i −0.487240 0.234642i
\(376\) 1.87813e10 + 1.49776e10i 0.939666 + 0.749359i
\(377\) 2.66599e9 + 6.08496e8i 0.131976 + 0.0301226i
\(378\) −5.19624e9 4.14387e9i −0.254520 0.202973i
\(379\) −3.70232e9 1.62209e10i −0.179439 0.786175i −0.981889 0.189456i \(-0.939328\pi\)
0.802450 0.596719i \(-0.203529\pi\)
\(380\) −6.79021e8 −0.0325648
\(381\) 7.98289e9i 0.378844i
\(382\) −2.27593e9 9.97152e9i −0.106882 0.468283i
\(383\) 1.83451e9 1.46297e9i 0.0852561 0.0679895i −0.579934 0.814663i \(-0.696922\pi\)
0.665190 + 0.746674i \(0.268350\pi\)
\(384\) 1.04238e10 5.01984e9i 0.479404 0.230869i
\(385\) −1.73880e10 8.37360e9i −0.791417 0.381126i
\(386\) 1.99885e9i 0.0900389i
\(387\) −8.89461e9 1.10194e10i −0.396537 0.491262i
\(388\) −1.61737e10 −0.713647
\(389\) 1.17071e10 2.43101e10i 0.511272 1.06167i −0.472348 0.881412i \(-0.656593\pi\)
0.983620 0.180255i \(-0.0576924\pi\)
\(390\) 4.86913e8 + 1.01108e9i 0.0210471 + 0.0437048i
\(391\) −1.88022e10 2.35772e10i −0.804456 1.00876i
\(392\) 1.27816e10 2.91731e9i 0.541303 0.123549i
\(393\) 1.84028e10 0.771462
\(394\) 2.05660e10i 0.853423i
\(395\) −1.47871e10 + 3.37505e9i −0.607426 + 0.138641i
\(396\) 9.06605e9 1.13685e10i 0.368670 0.462297i
\(397\) 5.93190e9 2.59893e10i 0.238799 1.04624i −0.703296 0.710897i \(-0.748289\pi\)
0.942094 0.335348i \(-0.108854\pi\)
\(398\) 7.48790e9 9.38954e9i 0.298420 0.374207i
\(399\) 1.72804e8 3.58830e8i 0.00681806 0.0141579i
\(400\) 2.49527e8 + 1.09325e9i 0.00974714 + 0.0427050i
\(401\) 8.26074e9 + 3.97816e9i 0.319478 + 0.153853i 0.586749 0.809769i \(-0.300408\pi\)
−0.267271 + 0.963621i \(0.586122\pi\)
\(402\) 3.02215e9 + 3.78966e9i 0.115721 + 0.145110i
\(403\) −9.62966e8 + 4.21903e9i −0.0365082 + 0.159953i
\(404\) 6.39154e9 2.80032e10i 0.239927 1.05119i
\(405\) 3.79300e8 + 7.87625e8i 0.0140982 + 0.0292752i
\(406\) 6.77640e9 5.40400e9i 0.249399 0.198889i
\(407\) −1.98174e10 1.58038e10i −0.722217 0.575949i
\(408\) −1.01720e10 + 4.89856e9i −0.367083 + 0.176778i
\(409\) 5.83539e9 + 1.21173e10i 0.208534 + 0.433025i 0.978834 0.204657i \(-0.0656078\pi\)
−0.770300 + 0.637682i \(0.779893\pi\)
\(410\) 4.08568e9 5.12328e9i 0.144587 0.181306i
\(411\) −2.60792e9 3.27023e9i −0.0913961 0.114607i
\(412\) −9.82400e9 + 4.73099e9i −0.340957 + 0.164196i
\(413\) −1.11559e10 2.54626e9i −0.383446 0.0875189i
\(414\) −1.66454e10 3.79920e9i −0.566620 0.129327i
\(415\) −4.88731e10 + 3.89750e10i −1.64770 + 1.31400i
\(416\) −1.87795e9 + 3.89960e9i −0.0627062 + 0.130211i
\(417\) 1.94892e10 4.44828e9i 0.644540 0.147112i
\(418\) −7.81218e8 3.76215e8i −0.0255898 0.0123234i
\(419\) −1.92389e10 1.53425e10i −0.624200 0.497783i 0.259558 0.965728i \(-0.416423\pi\)
−0.883758 + 0.467945i \(0.844995\pi\)
\(420\) −9.00458e9 2.05524e9i −0.289379 0.0660488i
\(421\) 4.16048e10 + 3.31787e10i 1.32439 + 1.05616i 0.993659 + 0.112438i \(0.0358661\pi\)
0.330729 + 0.943726i \(0.392705\pi\)
\(422\) 2.99951e9 + 1.31417e10i 0.0945802 + 0.414383i
\(423\) 2.67550e10 0.835686
\(424\) 3.94624e10i 1.22101i
\(425\) −9.66359e8 4.23390e9i −0.0296198 0.129773i
\(426\) 3.50325e9 2.79375e9i 0.106373 0.0848300i
\(427\) 1.75638e9 8.45826e8i 0.0528331 0.0254431i
\(428\) −3.46776e10 1.66998e10i −1.03341 0.497665i
\(429\) 3.72110e9i 0.109861i
\(430\) 1.76938e10 + 8.39255e9i 0.517545 + 0.245482i
\(431\) 6.34019e9 0.183736 0.0918678 0.995771i \(-0.470716\pi\)
0.0918678 + 0.995771i \(0.470716\pi\)
\(432\) 3.64019e9 7.55894e9i 0.104518 0.217033i
\(433\) 2.57336e10 + 5.34365e10i 0.732065 + 1.52015i 0.849801 + 0.527104i \(0.176722\pi\)
−0.117736 + 0.993045i \(0.537564\pi\)
\(434\) 8.55201e9 + 1.07239e10i 0.241051 + 0.302269i
\(435\) 2.23482e10 5.10083e9i 0.624145 0.142457i
\(436\) 2.27439e10 0.629388
\(437\) 2.64368e9i 0.0724908i
\(438\) 4.72992e9 1.07957e9i 0.128516 0.0293330i
\(439\) 8.72357e9 1.09390e10i 0.234875 0.294523i −0.650400 0.759592i \(-0.725399\pi\)
0.885275 + 0.465068i \(0.153970\pi\)
\(440\) −1.06722e10 + 4.67579e10i −0.284736 + 1.24751i
\(441\) 9.10404e9 1.14161e10i 0.240702 0.301831i
\(442\) 9.00042e8 1.86896e9i 0.0235816 0.0489678i
\(443\) −7.98042e9 3.49645e10i −0.207210 0.907846i −0.966413 0.256993i \(-0.917268\pi\)
0.759203 0.650854i \(-0.225589\pi\)
\(444\) −1.09294e10 5.26330e9i −0.281231 0.135434i
\(445\) 1.73113e10 + 2.17077e10i 0.441458 + 0.553571i
\(446\) −4.00099e9 + 1.75295e10i −0.101118 + 0.443026i
\(447\) 5.31270e9 2.32764e10i 0.133071 0.583024i
\(448\) 3.30292e9 + 6.85859e9i 0.0819948 + 0.170264i
\(449\) −1.37955e8 + 1.10015e8i −0.00339431 + 0.00270687i −0.625185 0.780476i \(-0.714977\pi\)
0.621791 + 0.783183i \(0.286405\pi\)
\(450\) −1.92230e9 1.53299e9i −0.0468783 0.0373842i
\(451\) −1.95766e10 + 9.42760e9i −0.473186 + 0.227874i
\(452\) −9.93853e9 2.06376e10i −0.238105 0.494430i
\(453\) −1.90226e10 + 2.38536e10i −0.451728 + 0.566449i
\(454\) −1.90917e10 2.39402e10i −0.449387 0.563514i
\(455\) 3.64674e9 1.75618e9i 0.0850861 0.0409753i
\(456\) −9.64930e8 2.20239e8i −0.0223170 0.00509372i
\(457\) 5.77684e10 + 1.31853e10i 1.32442 + 0.302290i 0.825522 0.564370i \(-0.190881\pi\)
0.498898 + 0.866660i \(0.333738\pi\)
\(458\) 1.62400e10 1.29510e10i 0.369083 0.294334i
\(459\) −1.40976e10 + 2.92740e10i −0.317611 + 0.659525i
\(460\) −5.97713e10 + 1.36424e10i −1.33494 + 0.304691i
\(461\) −1.25565e10 6.04687e9i −0.278012 0.133883i 0.289683 0.957123i \(-0.406450\pi\)
−0.567695 + 0.823239i \(0.692165\pi\)
\(462\) −9.22111e9 7.35359e9i −0.202402 0.161410i
\(463\) −3.80083e10 8.67516e9i −0.827094 0.188779i −0.212037 0.977262i \(-0.568010\pi\)
−0.615057 + 0.788483i \(0.710867\pi\)
\(464\) 8.55409e9 + 6.82166e9i 0.184545 + 0.147170i
\(465\) 8.07224e9 + 3.53668e10i 0.172656 + 0.756457i
\(466\) 2.27694e10 0.482846
\(467\) 3.73257e10i 0.784767i 0.919802 + 0.392383i \(0.128349\pi\)
−0.919802 + 0.392383i \(0.871651\pi\)
\(468\) 6.78603e8 + 2.97315e9i 0.0141460 + 0.0619775i
\(469\) 1.36684e10 1.09002e10i 0.282505 0.225290i
\(470\) −3.33350e10 + 1.60533e10i −0.683138 + 0.328982i
\(471\) 1.92576e10 + 9.27398e9i 0.391308 + 0.188444i
\(472\) 2.84365e10i 0.572938i
\(473\) −4.07855e10 5.05284e10i −0.814819 1.00946i
\(474\) −9.26916e9 −0.183623
\(475\) 1.65185e8 3.43010e8i 0.00324486 0.00673801i
\(476\) 7.40758e9 + 1.53820e10i 0.144294 + 0.299630i
\(477\) 2.74035e10 + 3.43629e10i 0.529337 + 0.663768i
\(478\) 2.60500e10 5.94574e9i 0.498994 0.113892i
\(479\) −5.34484e10 −1.01530 −0.507648 0.861565i \(-0.669485\pi\)
−0.507648 + 0.861565i \(0.669485\pi\)
\(480\) 3.62822e10i 0.683485i
\(481\) 5.18276e9 1.18293e9i 0.0968234 0.0220993i
\(482\) 2.86997e10 3.59882e10i 0.531727 0.666764i
\(483\) 8.00179e9 3.50581e10i 0.147027 0.644170i
\(484\) 1.68699e10 2.11542e10i 0.307420 0.385493i
\(485\) 2.57793e10 5.35312e10i 0.465912 0.967476i
\(486\) 6.60264e9 + 2.89281e10i 0.118351 + 0.518530i
\(487\) −7.71874e10 3.71715e10i −1.37224 0.660836i −0.404911 0.914356i \(-0.632697\pi\)
−0.967330 + 0.253520i \(0.918412\pi\)
\(488\) −3.02052e9 3.78761e9i −0.0532601 0.0667860i
\(489\) −1.08415e10 + 4.74996e10i −0.189606 + 0.830720i
\(490\) −4.49326e9 + 1.96862e10i −0.0779429 + 0.341490i
\(491\) 1.66664e10 + 3.46081e10i 0.286758 + 0.595459i 0.993733 0.111779i \(-0.0356550\pi\)
−0.706975 + 0.707238i \(0.749941\pi\)
\(492\) −8.13005e9 + 6.48350e9i −0.138750 + 0.110649i
\(493\) −3.31280e10 2.64187e10i −0.560799 0.447222i
\(494\) 1.63843e8 7.89027e7i 0.00275119 0.00132490i
\(495\) 2.31766e10 + 4.81266e10i 0.386036 + 0.801613i
\(496\) −1.07955e10 + 1.35371e10i −0.178368 + 0.223666i
\(497\) −1.00764e10 1.26354e10i −0.165150 0.207092i
\(498\) −3.44190e10 + 1.65753e10i −0.559604 + 0.269491i
\(499\) −6.98632e10 1.59458e10i −1.12680 0.257184i −0.381797 0.924246i \(-0.624695\pi\)
−0.745002 + 0.667062i \(0.767552\pi\)
\(500\) 3.91817e10 + 8.94296e9i 0.626907 + 0.143087i
\(501\) −2.34743e10 + 1.87201e10i −0.372599 + 0.297138i
\(502\) 1.98305e10 4.11784e10i 0.312262 0.648418i
\(503\) −2.23875e10 + 5.10981e9i −0.349731 + 0.0798238i −0.393778 0.919206i \(-0.628832\pi\)
0.0440469 + 0.999029i \(0.485975\pi\)
\(504\) 2.07712e10 + 1.00029e10i 0.321914 + 0.155026i
\(505\) 8.24963e10 + 6.57886e10i 1.26844 + 1.01154i
\(506\) −7.63259e10 1.74209e10i −1.16431 0.265747i
\(507\) −3.07561e10 2.45272e10i −0.465479 0.371207i
\(508\) −6.67549e9 2.92472e10i −0.100237 0.439167i
\(509\) 3.34098e10 0.497741 0.248870 0.968537i \(-0.419941\pi\)
0.248870 + 0.968537i \(0.419941\pi\)
\(510\) 1.73889e10i 0.257035i
\(511\) −3.89376e9 1.70597e10i −0.0571065 0.250200i
\(512\) −2.54031e10 + 2.02583e10i −0.369664 + 0.294797i
\(513\) −2.56632e9 + 1.23587e9i −0.0370545 + 0.0178445i
\(514\) 2.92355e10 + 1.40791e10i 0.418849 + 0.201707i
\(515\) 4.00558e10i 0.569425i
\(516\) −2.44106e10 1.92321e10i −0.344334 0.271286i
\(517\) 1.22683e11 1.71720
\(518\) 7.31073e9 1.51809e10i 0.101541 0.210852i
\(519\) 1.60955e10 + 3.34227e10i 0.221838 + 0.460651i
\(520\) −6.27145e9 7.86415e9i −0.0857738 0.107557i
\(521\) 1.08092e11 2.46714e10i 1.46705 0.334844i 0.586946 0.809626i \(-0.300330\pi\)
0.880103 + 0.474782i \(0.157473\pi\)
\(522\) −2.39896e10 −0.323103
\(523\) 1.51591e10i 0.202613i 0.994855 + 0.101306i \(0.0323022\pi\)
−0.994855 + 0.101306i \(0.967698\pi\)
\(524\) −6.74233e10 + 1.53889e10i −0.894303 + 0.204119i
\(525\) 3.22874e9 4.04872e9i 0.0425007 0.0532942i
\(526\) −1.00634e10 + 4.40905e10i −0.131462 + 0.575972i
\(527\) 4.18085e10 5.24262e10i 0.542028 0.679682i
\(528\) 6.45979e9 1.34139e10i 0.0831156 0.172591i
\(529\) −3.56891e10 1.56364e11i −0.455735 1.99671i
\(530\) −5.47611e10 2.63715e10i −0.694014 0.334220i
\(531\) 1.97468e10 + 2.47618e10i 0.248382 + 0.311461i
\(532\) −3.33045e8 + 1.45916e9i −0.00415773 + 0.0182162i
\(533\) 1.01404e9 4.44279e9i 0.0125645 0.0550487i
\(534\) 7.36216e9 + 1.52877e10i 0.0905400 + 0.188008i
\(535\) 1.10545e11 8.81566e10i 1.34935 1.07607i
\(536\) −3.39673e10 2.70880e10i −0.411530 0.328185i
\(537\) 4.23238e10 2.03821e10i 0.508965 0.245105i
\(538\) −1.66728e10 3.46214e10i −0.199012 0.413252i
\(539\) 4.17458e10 5.23476e10i 0.494604 0.620214i
\(540\) 4.11853e10 + 5.16447e10i 0.484359 + 0.607367i
\(541\) 6.77695e10 3.26361e10i 0.791125 0.380986i 0.00573232 0.999984i \(-0.498175\pi\)
0.785393 + 0.618998i \(0.212461\pi\)
\(542\) −1.85244e10 4.22808e9i −0.214658 0.0489943i
\(543\) 4.48229e10 + 1.02305e10i 0.515586 + 0.117679i
\(544\) 5.24347e10 4.18153e10i 0.598719 0.477462i
\(545\) −3.62514e10 + 7.52768e10i −0.410902 + 0.853247i
\(546\) 2.41156e9 5.50423e8i 0.0271349 0.00619336i
\(547\) −9.17001e9 4.41605e9i −0.102428 0.0493269i 0.381968 0.924176i \(-0.375246\pi\)
−0.484396 + 0.874849i \(0.660961\pi\)
\(548\) 1.22894e10 + 9.80048e9i 0.136273 + 0.108674i
\(549\) −5.26038e9 1.20065e9i −0.0579066 0.0132168i
\(550\) −8.81456e9 7.02938e9i −0.0963274 0.0768185i
\(551\) −8.26574e8 3.62146e9i −0.00896758 0.0392895i
\(552\) −8.93636e10 −0.962508
\(553\) 3.34316e10i 0.357484i
\(554\) 3.32658e9 + 1.45747e10i 0.0353150 + 0.154725i
\(555\) 3.48405e10 2.77844e10i 0.367209 0.292839i
\(556\) −6.76836e10 + 3.25947e10i −0.708246 + 0.341073i
\(557\) −1.38122e11 6.65161e10i −1.43497 0.691045i −0.455055 0.890464i \(-0.650380\pi\)
−0.979914 + 0.199419i \(0.936095\pi\)
\(558\) 3.79644e10i 0.391597i
\(559\) 1.36185e10 8.04195e7i 0.139470 0.000823596i
\(560\) 1.61945e10 0.164671
\(561\) −2.50172e10 + 5.19488e10i −0.252574 + 0.524475i
\(562\) 1.20017e10 + 2.49219e10i 0.120309 + 0.249825i
\(563\) −1.05450e10 1.32230e10i −0.104957 0.131612i 0.726579 0.687083i \(-0.241109\pi\)
−0.831536 + 0.555471i \(0.812538\pi\)
\(564\) 5.72411e10 1.30649e10i 0.565707 0.129119i
\(565\) 8.41464e10 0.825737
\(566\) 3.90280e10i 0.380286i
\(567\) 1.87858e9 4.28774e8i 0.0181760 0.00414855i
\(568\) −2.50408e10 + 3.14002e10i −0.240578 + 0.301675i
\(569\) 3.72282e10 1.63107e11i 0.355159 1.55605i −0.409923 0.912120i \(-0.634444\pi\)
0.765082 0.643933i \(-0.222699\pi\)
\(570\) 9.50454e8 1.19183e9i 0.00900392 0.0112906i
\(571\) −8.32399e10 + 1.72849e11i −0.783045 + 1.62601i −0.00323522 + 0.999995i \(0.501030\pi\)
−0.779810 + 0.626016i \(0.784684\pi\)
\(572\) 3.11167e9 + 1.36331e10i 0.0290677 + 0.127354i
\(573\) −5.37194e10 2.58699e10i −0.498325 0.239981i
\(574\) −9.00559e9 1.12927e10i −0.0829592 0.104028i
\(575\) 7.64899e9 3.35124e10i 0.0699734 0.306573i
\(576\) 4.68849e9 2.05416e10i 0.0425935 0.186614i
\(577\) 4.93690e8 + 1.02516e9i 0.00445401 + 0.00924885i 0.903184 0.429254i \(-0.141223\pi\)
−0.898730 + 0.438502i \(0.855509\pi\)
\(578\) 2.08821e10 1.66529e10i 0.187095 0.149204i
\(579\) 9.11014e9 + 7.26509e9i 0.0810608 + 0.0646438i
\(580\) −7.76126e10 + 3.73763e10i −0.685836 + 0.330281i
\(581\) 5.97831e10 + 1.24141e11i 0.524655 + 1.08946i
\(582\) 2.26390e10 2.83885e10i 0.197318 0.247429i
\(583\) 1.25656e11 + 1.57568e11i 1.08770 + 1.36394i
\(584\) −3.91789e10 + 1.88676e10i −0.336822 + 0.162205i
\(585\) −1.09220e10 2.49289e9i −0.0932568 0.0212853i
\(586\) 6.44950e10 + 1.47206e10i 0.546935 + 0.124834i
\(587\) −3.32784e10 + 2.65386e10i −0.280291 + 0.223525i −0.753537 0.657406i \(-0.771654\pi\)
0.473246 + 0.880931i \(0.343082\pi\)
\(588\) 1.39030e10 2.88699e10i 0.116305 0.241511i
\(589\) 5.73108e9 1.30808e9i 0.0476184 0.0108686i
\(590\) −3.94606e10 1.90032e10i −0.325653 0.156826i
\(591\) −9.37335e10 7.47500e10i −0.768325 0.612719i
\(592\) 2.07365e10 + 4.73296e9i 0.168829 + 0.0385342i
\(593\) −7.37665e10 5.88268e10i −0.596541 0.475725i 0.278064 0.960563i \(-0.410307\pi\)
−0.874604 + 0.484837i \(0.838879\pi\)
\(594\) 1.87699e10 + 8.22365e10i 0.150771 + 0.660570i
\(595\) −6.27176e10 −0.500405
\(596\) 8.97215e10i 0.711068i
\(597\) −1.55788e10 6.82552e10i −0.122641 0.537327i
\(598\) 1.28371e10 1.02373e10i 0.100384 0.0800534i
\(599\) 3.63836e9 1.75214e9i 0.0282617 0.0136101i −0.419700 0.907663i \(-0.637865\pi\)
0.447961 + 0.894053i \(0.352150\pi\)
\(600\) −1.15947e10 5.58370e9i −0.0894650 0.0430841i
\(601\) 7.39716e10i 0.566979i 0.958975 + 0.283490i \(0.0914922\pi\)
−0.958975 + 0.283490i \(0.908508\pi\)
\(602\) 2.67134e10 3.39063e10i 0.203396 0.258163i
\(603\) −4.83883e10 −0.365992
\(604\) 4.97469e10 1.03300e11i 0.373782 0.776166i
\(605\) 4.31265e10 + 8.95532e10i 0.321902 + 0.668435i
\(606\) 4.02052e10 + 5.04157e10i 0.298120 + 0.373831i
\(607\) −3.31744e10 + 7.57184e9i −0.244370 + 0.0557759i −0.342952 0.939353i \(-0.611427\pi\)
0.0985814 + 0.995129i \(0.468570\pi\)
\(608\) 5.87942e9 0.0430249
\(609\) 5.05264e10i 0.367324i
\(610\) 7.27449e9 1.66036e9i 0.0525392 0.0119917i
\(611\) −1.60424e10 + 2.01165e10i −0.115107 + 0.144340i
\(612\) 1.05150e10 4.60694e10i 0.0749558 0.328403i
\(613\) −4.99712e10 + 6.26619e10i −0.353898 + 0.443774i −0.926633 0.375966i \(-0.877311\pi\)
0.572735 + 0.819740i \(0.305882\pi\)
\(614\) −2.97168e10 + 6.17076e10i −0.209088 + 0.434176i
\(615\) −8.50037e9 3.72426e10i −0.0594207 0.260339i
\(616\) 9.52447e10 + 4.58674e10i 0.661482 + 0.318553i
\(617\) −5.86280e9 7.35172e9i −0.0404543 0.0507281i 0.761193 0.648526i \(-0.224614\pi\)
−0.801647 + 0.597798i \(0.796043\pi\)
\(618\) 5.44713e9 2.38654e10i 0.0373434 0.163612i
\(619\) −1.76077e10 + 7.71444e10i −0.119933 + 0.525463i 0.878893 + 0.477020i \(0.158283\pi\)
−0.998826 + 0.0484428i \(0.984574\pi\)
\(620\) −5.91492e10 1.22825e11i −0.400297 0.831225i
\(621\) −2.01072e11 + 1.60349e11i −1.35203 + 1.07820i
\(622\) 1.97042e10 + 1.57135e10i 0.131643 + 0.104981i
\(623\) 5.51389e10 2.65535e10i 0.366021 0.176267i
\(624\) 1.35480e9 + 2.81326e9i 0.00893585 + 0.0185555i
\(625\) −1.09186e11 + 1.36915e11i −0.715563 + 0.897287i
\(626\) 3.16453e10 + 3.96820e10i 0.206069 + 0.258402i
\(627\) −4.55412e9 + 2.19315e9i −0.0294669 + 0.0141905i
\(628\) −7.83100e10 1.78738e10i −0.503476 0.114915i
\(629\) −8.03075e10 1.83297e10i −0.513042 0.117099i
\(630\) −2.77616e10 + 2.21391e10i −0.176231 + 0.140539i
\(631\) −1.14160e11 + 2.37057e11i −0.720109 + 1.49532i 0.142686 + 0.989768i \(0.454426\pi\)
−0.862795 + 0.505554i \(0.831288\pi\)
\(632\) 8.09979e10 1.84873e10i 0.507698 0.115879i
\(633\) 7.07981e10 + 3.40946e10i 0.440968 + 0.212359i
\(634\) 6.26847e10 + 4.99894e10i 0.387976 + 0.309401i
\(635\) 1.07441e11 + 2.45228e10i 0.660810 + 0.150826i
\(636\) 7.54086e10 + 6.01364e10i 0.460885 + 0.367544i
\(637\) 3.12471e9 + 1.36903e10i 0.0189781 + 0.0831484i
\(638\) −1.10002e11 −0.663925
\(639\) 4.47314e10i 0.268293i
\(640\) −3.55408e10 1.55714e11i −0.211839 0.928129i
\(641\) −1.94343e11 + 1.54983e11i −1.15116 + 0.918021i −0.997539 0.0701089i \(-0.977665\pi\)
−0.153622 + 0.988130i \(0.549094\pi\)
\(642\) 7.78515e10 3.74913e10i 0.458276 0.220694i
\(643\) −1.83990e11 8.86047e10i −1.07634 0.518338i −0.190195 0.981746i \(-0.560912\pi\)
−0.886145 + 0.463408i \(0.846626\pi\)
\(644\) 1.35135e11i 0.785643i
\(645\) 1.02562e11 5.01393e10i 0.592578 0.289694i
\(646\) −2.81782e9 −0.0161802
\(647\) 1.17368e9 2.43718e9i 0.00669782 0.0139082i −0.897593 0.440825i \(-0.854686\pi\)
0.904291 + 0.426917i \(0.140400\pi\)
\(648\) −2.07766e9 4.31432e9i −0.0117835 0.0244688i
\(649\) 9.05475e10 + 1.13543e11i 0.510385 + 0.640002i
\(650\) 2.30524e9 5.26155e8i 0.0129140 0.00294755i
\(651\) 7.99598e10 0.445192
\(652\) 1.83092e11i 1.01316i
\(653\) 3.25766e11 7.43540e10i 1.79165 0.408932i 0.808023 0.589151i \(-0.200538\pi\)
0.983627 + 0.180218i \(0.0576804\pi\)
\(654\) −3.18355e10 + 3.99205e10i −0.174021 + 0.218215i
\(655\) 5.65321e10 2.47683e11i 0.307135 1.34565i
\(656\) 1.13681e10 1.42551e10i 0.0613863 0.0769760i
\(657\) −2.10140e10 + 4.36360e10i −0.112784 + 0.234198i
\(658\) 1.81472e10 + 7.95080e10i 0.0968067 + 0.424138i
\(659\) −6.10061e10 2.93790e10i −0.323468 0.155774i 0.265101 0.964221i \(-0.414595\pi\)
−0.588570 + 0.808446i \(0.700309\pi\)
\(660\) 7.30863e10 + 9.16474e10i 0.385177 + 0.482997i
\(661\) −1.17539e10 + 5.14973e10i −0.0615711 + 0.269761i −0.996338 0.0855007i \(-0.972751\pi\)
0.934767 + 0.355261i \(0.115608\pi\)
\(662\) −3.14257e10 + 1.37685e11i −0.163627 + 0.716895i
\(663\) −5.24681e9 1.08951e10i −0.0271545 0.0563868i
\(664\) 2.67709e11 2.13490e11i 1.37718 1.09826i
\(665\) −4.29864e9 3.42805e9i −0.0219809 0.0175292i
\(666\) −4.20179e10 + 2.02347e10i −0.213569 + 0.102849i
\(667\) −1.45519e11 3.02174e11i −0.735221 1.52670i
\(668\) 7.03495e10 8.82154e10i 0.353309 0.443036i
\(669\) 6.53519e10 + 8.19487e10i 0.326252 + 0.409108i
\(670\) 6.02887e10 2.90335e10i 0.299183 0.144079i
\(671\) −2.41210e10 5.50547e9i −0.118989 0.0271584i
\(672\) 7.79676e10 + 1.77956e10i 0.382329 + 0.0872641i
\(673\) 9.10485e10 7.26088e10i 0.443826 0.353939i −0.375934 0.926646i \(-0.622678\pi\)
0.819760 + 0.572707i \(0.194107\pi\)
\(674\) 1.37393e10 2.85301e10i 0.0665774 0.138249i
\(675\) −3.61076e10 + 8.24132e9i −0.173934 + 0.0396992i
\(676\) 1.33193e11 + 6.41423e10i 0.637814 + 0.307155i
\(677\) −2.54409e11 2.02885e11i −1.21110 0.965817i −0.211164 0.977451i \(-0.567725\pi\)
−0.999932 + 0.0116338i \(0.996297\pi\)
\(678\) 5.01348e10 + 1.14429e10i 0.237258 + 0.0541526i
\(679\) −1.02390e11 8.16535e10i −0.481703 0.384145i
\(680\) 3.46820e10 + 1.51952e11i 0.162207 + 0.710674i
\(681\) −1.78504e11 −0.829963
\(682\) 1.74082e11i 0.804669i
\(683\) 2.47198e10 + 1.08304e11i 0.113596 + 0.497695i 0.999432 + 0.0336976i \(0.0107283\pi\)
−0.885836 + 0.463998i \(0.846415\pi\)
\(684\) 3.23878e9 2.58284e9i 0.0147964 0.0117998i
\(685\) −5.20253e10 + 2.50541e10i −0.236294 + 0.113793i
\(686\) 1.05678e11 + 5.08918e10i 0.477186 + 0.229801i
\(687\) 1.21089e11i 0.543598i
\(688\) 4.92317e10 + 2.33516e10i 0.219731 + 0.104223i
\(689\) −4.22680e10 −0.187557
\(690\) 5.97189e10 1.24008e11i 0.263461 0.547082i
\(691\) −1.02794e11 2.13454e11i −0.450874 0.936250i −0.995245 0.0974054i \(-0.968946\pi\)
0.544370 0.838845i \(-0.316769\pi\)
\(692\) −8.69187e10 1.08993e11i −0.379043 0.475305i
\(693\) 1.14788e11 2.61996e10i 0.497695 0.113596i
\(694\) −2.08718e11 −0.899751
\(695\) 2.75969e11i 1.18283i
\(696\) −1.22415e11 + 2.79405e10i −0.521673 + 0.119068i
\(697\) −4.40259e10 + 5.52067e10i −0.186542 + 0.233916i
\(698\) −3.78154e10 + 1.65680e11i −0.159311 + 0.697988i
\(699\) 8.27587e10 1.03776e11i 0.346661 0.434699i
\(700\) −8.44364e9 + 1.75334e10i −0.0351672 + 0.0730254i
\(701\) 5.57638e10 + 2.44317e11i 0.230930 + 1.01177i 0.948870 + 0.315666i \(0.102228\pi\)
−0.717940 + 0.696105i \(0.754915\pi\)
\(702\) −1.59389e10 7.67576e9i −0.0656310 0.0316062i
\(703\) −4.50237e9 5.64580e9i −0.0184340 0.0231155i
\(704\) 2.14987e10 9.41918e10i 0.0875227 0.383462i
\(705\) −4.79947e10 + 2.10279e11i −0.194284 + 0.851214i
\(706\) 3.41368e10 + 7.08859e10i 0.137406 + 0.285326i
\(707\) 1.81837e11 1.45010e11i 0.727788 0.580392i
\(708\) 5.43391e10 + 4.33340e10i 0.216262 + 0.172463i
\(709\) −2.64850e11 + 1.27545e11i −1.04813 + 0.504752i −0.876997 0.480496i \(-0.840457\pi\)
−0.171131 + 0.985248i \(0.554742\pi\)
\(710\) −2.68393e10 5.57323e10i −0.105618 0.219318i
\(711\) 5.76931e10 7.23448e10i 0.225759 0.283093i
\(712\) −9.48249e10 1.18907e11i −0.368980 0.462686i
\(713\) 4.78201e11 2.30290e11i 1.85034 0.891079i
\(714\) −3.73675e10 8.52888e9i −0.143781 0.0328170i
\(715\) −5.00821e10 1.14309e10i −0.191628 0.0437378i
\(716\) −1.38020e11 + 1.10067e11i −0.525156 + 0.418798i
\(717\) 6.75835e10 1.40339e11i 0.255720 0.531007i
\(718\) 2.38459e11 5.44267e10i 0.897256 0.204793i
\(719\) 4.36576e11 + 2.10244e11i 1.63359 + 0.786697i 0.999914 + 0.0131011i \(0.00417033\pi\)
0.633679 + 0.773596i \(0.281544\pi\)
\(720\) −3.50444e10 2.79470e10i −0.130403 0.103993i
\(721\) −8.60767e10 1.96465e10i −0.318526 0.0727015i
\(722\) 1.11831e11 + 8.91825e10i 0.411542 + 0.328194i
\(723\) −5.97105e10 2.61609e11i −0.218523 0.957413i
\(724\) −1.72775e11 −0.628819
\(725\) 4.82987e10i 0.174817i
\(726\) 1.35168e10 + 5.92209e10i 0.0486550 + 0.213171i
\(727\) −3.11175e11 + 2.48154e11i −1.11395 + 0.888348i −0.994525 0.104495i \(-0.966677\pi\)
−0.119427 + 0.992843i \(0.538106\pi\)
\(728\) −1.99755e10 + 9.61967e9i −0.0711166 + 0.0342480i
\(729\) 1.48233e11 + 7.13850e10i 0.524848 + 0.252753i
\(730\) 6.69763e10i 0.235846i
\(731\) −1.90663e11 9.04354e10i −0.667724 0.316715i
\(732\) −1.18407e10 −0.0412412
\(733\) −5.20370e10 + 1.08056e11i −0.180259 + 0.374311i −0.971445 0.237264i \(-0.923749\pi\)
0.791186 + 0.611575i \(0.209464\pi\)
\(734\) −5.48301e10 1.13856e11i −0.188901 0.392257i
\(735\) 7.33926e10 + 9.20314e10i 0.251480 + 0.315345i
\(736\) 5.17540e11 1.18125e11i 1.76373 0.402560i
\(737\) −2.21881e11 −0.752055
\(738\) 3.99779e10i 0.134770i
\(739\) −6.38341e10 + 1.45697e10i −0.214030 + 0.0488510i −0.328191 0.944611i \(-0.606439\pi\)
0.114161 + 0.993462i \(0.463582\pi\)
\(740\) −1.04413e11 + 1.30929e11i −0.348198 + 0.436627i
\(741\) 2.35897e8 1.03353e9i 0.000782436 0.00342808i
\(742\) −8.35295e10 + 1.04743e11i −0.275565 + 0.345548i
\(743\) −2.04076e11 + 4.23768e11i −0.669632 + 1.39051i 0.238219 + 0.971212i \(0.423436\pi\)
−0.907851 + 0.419294i \(0.862278\pi\)
\(744\) −4.42167e10 1.93726e11i −0.144310 0.632261i
\(745\) −2.96957e11 1.43007e11i −0.963980 0.464228i
\(746\) 6.60206e10 + 8.27872e10i 0.213169 + 0.267306i
\(747\) 8.48619e10 3.71804e11i 0.272540 1.19408i
\(748\) 4.82158e10 2.11247e11i 0.154022 0.674815i
\(749\) −1.35222e11 2.80791e11i −0.429655 0.892188i
\(750\) −7.05410e10 + 5.62546e10i −0.222945 + 0.177792i
\(751\) 4.16398e11 + 3.32066e11i 1.30903 + 1.04391i 0.995542 + 0.0943213i \(0.0300681\pi\)
0.313485 + 0.949593i \(0.398503\pi\)
\(752\) −9.27519e10 + 4.46669e10i −0.290036 + 0.139674i
\(753\) −1.15602e11 2.40050e11i −0.359572 0.746659i
\(754\) 1.43842e10 1.80373e10i 0.0445042 0.0558065i
\(755\) 2.62608e11 + 3.29301e11i 0.808204 + 1.01346i
\