Properties

Label 43.9.f.a.2.18
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 2.18
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.18

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.66053 + 7.60117i 0.228783 + 0.475073i 0.983484 0.180996i \(-0.0579322\pi\)
−0.754701 + 0.656069i \(0.772218\pi\)
\(3\) −21.3391 + 44.3111i −0.263446 + 0.547051i −0.990168 0.139880i \(-0.955328\pi\)
0.726723 + 0.686931i \(0.241043\pi\)
\(4\) 115.235 144.500i 0.450137 0.564454i
\(5\) −661.934 151.082i −1.05909 0.241731i −0.342713 0.939440i \(-0.611346\pi\)
−0.716382 + 0.697709i \(0.754203\pi\)
\(6\) −414.929 −0.320161
\(7\) 1496.55i 0.623301i −0.950197 0.311651i \(-0.899118\pi\)
0.950197 0.311651i \(-0.100882\pi\)
\(8\) 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 0.999469 + 0.0325951i \(0.0103772\pi\)
−0.190625 + 0.981663i \(0.561051\pi\)
\(12\) 3943.95 + 8189.71i 0.190198 + 0.394951i
\(13\) 886.406 3883.60i 0.0310355 0.135976i −0.957037 0.289967i \(-0.906356\pi\)
0.988072 + 0.153991i \(0.0492128\pi\)
\(14\) 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 0.988152 + 0.153478i \(0.0490474\pi\)
−0.823703 + 0.567022i \(0.808095\pi\)
\(18\) −15162.5 + 31485.3i −0.144438 + 0.299929i
\(19\) 4230.57 + 3373.77i 0.0324627 + 0.0258881i 0.639587 0.768719i \(-0.279105\pi\)
−0.607124 + 0.794607i \(0.707677\pi\)
\(20\) −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 0.925673 + 0.378325i \(0.123500\pi\)
0.162858 + 0.986649i \(0.447929\pi\)
\(24\) −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 0.998324 + 0.0578654i \(0.0184294\pi\)
−0.577204 + 0.816600i \(0.695856\pi\)
\(30\) 274656. + 62688.3i 0.339081 + 0.0773930i
\(31\) 978786. 471359.i 1.05984 0.510393i 0.179022 0.983845i \(-0.442707\pi\)
0.880820 + 0.473452i \(0.156992\pi\)
\(32\) 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 \(0.115871\pi\)
−0.934474 + 0.356032i \(0.884129\pi\)
\(38\) −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 −0.607277 0.794490i \(-0.707738\pi\)
0.242526 + 0.970145i \(0.422024\pi\)
\(42\) 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 −0.173440 0.984844i \(-0.555488\pi\)
0.998746 0.0500568i \(-0.0159402\pi\)
\(48\) 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 −0.871265 0.490813i \(-0.836700\pi\)
0.572027 0.820235i \(-0.306157\pi\)
\(54\) −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 −0.995339 0.0964367i \(-0.969255\pi\)
0.854927 0.518748i \(-0.173602\pi\)
\(60\) −1.37332e6 6.01691e6i −0.105966 0.464267i
\(61\) −565185. + 1.17362e6i −0.0408198 + 0.0847633i −0.920381 0.391022i \(-0.872122\pi\)
0.879562 + 0.475785i \(0.157836\pi\)
\(62\) 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 −0.928990 0.370104i \(-0.879322\pi\)
0.567544 + 0.823343i \(0.307894\pi\)
\(68\) 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 0.443128 0.896458i \(-0.353869\pi\)
−0.775377 + 0.631498i \(0.782440\pi\)
\(72\) 6.68398e6 + 1.38794e7i 0.248717 + 0.516466i
\(73\) −1.13994e7 2.60183e6i −0.401411 0.0916194i 0.0170491 0.999855i \(-0.494573\pi\)
−0.418460 + 0.908235i \(0.637430\pi\)
\(74\) −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 0.979418 + 0.201841i \(0.0646926\pi\)
0.768463 + 0.639894i \(0.221022\pi\)
\(84\) 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 −0.993181 0.116582i \(-0.962806\pi\)
0.710386 + 0.703812i \(0.248520\pi\)
\(90\) 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 0.371512 0.928428i \(-0.378839\pi\)
−0.987820 + 0.155603i \(0.950268\pi\)
\(98\) 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 0.0544389 + 0.998517i \(0.482663\pi\)
−0.985596 + 0.169117i \(0.945908\pi\)
\(102\) −5.69904e6 2.49691e7i −0.0526503 0.230676i
\(103\) −1.31279e7 5.75169e7i −0.116639 0.511030i −0.999168 0.0407725i \(-0.987018\pi\)
0.882529 0.470258i \(-0.155839\pi\)
\(104\) 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 −0.452134 0.891950i \(-0.649337\pi\)
−0.979256 + 0.202629i \(0.935052\pi\)
\(108\) −4.22128e7 + 8.76558e7i −0.310277 + 0.644296i
\(109\) 7.67252e7 + 9.62104e7i 0.543541 + 0.681579i 0.975420 0.220353i \(-0.0707208\pi\)
−0.431879 + 0.901931i \(0.642149\pi\)
\(110\) 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 −0.576352 0.817201i \(-0.695524\pi\)
−0.164705 + 0.986343i \(0.552667\pi\)
\(114\) −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 −0.693304 0.720645i \(-0.743846\pi\)
0.131155 + 0.991362i \(0.458131\pi\)
\(128\) 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 −0.971439 0.237290i \(-0.923741\pi\)
0.420162 0.907449i \(-0.361973\pi\)
\(132\) −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 0.338579 0.940938i \(-0.390054\pi\)
−0.103208 + 0.994660i \(0.532911\pi\)
\(138\) −1.26394e8 1.58493e8i −0.348505 0.437012i
\(139\) −9.04460e7 3.96270e8i −0.242287 1.06153i −0.938929 0.344110i \(-0.888181\pi\)
0.696642 0.717418i \(-0.254676\pi\)
\(140\) 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 −0.157631 0.987498i \(-0.550386\pi\)
0.927663 + 0.373418i \(0.121814\pi\)
\(150\) −2.63023e7 1.26665e7i −0.0519552 0.0250203i
\(151\) −2.69160e8 + 5.58917e8i −0.517729 + 1.07508i 0.464183 + 0.885739i \(0.346348\pi\)
−0.981912 + 0.189337i \(0.939366\pi\)
\(152\) 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 0.302625 0.953110i \(-0.402137\pi\)
−0.861873 + 0.507125i \(0.830708\pi\)
\(158\) 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 −0.992826 0.119570i \(-0.961848\pi\)
−0.104353 + 0.994540i \(0.533277\pi\)
\(164\) −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 0.809387 + 0.587276i \(0.199800\pi\)
−0.984042 + 0.177938i \(0.943057\pi\)
\(168\) 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 \(-0.845986\pi\)
0.885211 0.465190i \(-0.154014\pi\)
\(180\) −5.06754e8 1.15663e8i −0.482734 0.110181i
\(181\) −5.82846e8 7.30866e8i −0.543050 0.680963i 0.432274 0.901742i \(-0.357711\pi\)
−0.975324 + 0.220779i \(0.929140\pi\)
\(182\) −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 0.911161 0.412051i \(-0.135187\pi\)
−0.198967 + 0.980006i \(0.563759\pi\)
\(192\) −1.95592e8 + 1.55979e8i −0.143928 + 0.114779i
\(193\) −2.13461e8 1.02797e8i −0.153847 0.0740889i 0.355376 0.934723i \(-0.384353\pi\)
−0.509223 + 0.860635i \(0.670067\pi\)
\(194\) 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 0.984001 0.178163i \(-0.0570155\pi\)
0.474221 + 0.880406i \(0.342730\pi\)
\(198\) −6.47108e8 + 1.47698e8i −0.421033 + 0.0960980i
\(199\) 1.38782e9 3.16761e8i 0.884954 0.201985i 0.244194 0.969726i \(-0.421477\pi\)
0.640760 + 0.767742i \(0.278620\pi\)
\(200\) 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 0.255497 0.966810i \(-0.417761\pi\)
−0.885717 + 0.464226i \(0.846332\pi\)
\(212\) −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 −0.219293 0.975659i \(-0.570375\pi\)
−0.620899 + 0.783891i \(0.713232\pi\)
\(224\) −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 0.954240 + 0.299041i \(0.0966668\pi\)
−0.361159 + 0.932504i \(0.617619\pi\)
\(228\) −1.09450e7 + 4.79531e7i −0.00405019 + 0.0177451i
\(229\) 2.21826e9 1.06826e9i 0.806621 0.388448i 0.0153259 0.999883i \(-0.495121\pi\)
0.791295 + 0.611434i \(0.209407\pi\)
\(230\) 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 −0.602330 0.798247i \(-0.705761\pi\)
0.999641 0.0267783i \(-0.00852483\pi\)
\(234\) 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 −0.380975 0.924585i \(-0.624412\pi\)
0.986179 + 0.165683i \(0.0529830\pi\)
\(240\) −4.79502e8 2.30916e8i −0.144526 0.0696000i
\(241\) 5.31924e9 1.21408e9i 1.57682 0.359898i 0.657512 0.753444i \(-0.271609\pi\)
0.919305 + 0.393546i \(0.128752\pi\)
\(242\) −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 \(-0.854685\pi\)
0.897592 0.440826i \(-0.145315\pi\)
\(258\) −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 −0.361836 0.932242i \(-0.617850\pi\)
−0.730487 + 0.682926i \(0.760707\pi\)
\(264\) −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 0.975187 0.221382i \(-0.0710569\pi\)
−0.432831 + 0.901475i \(0.642485\pi\)
\(270\) 1.30828e9 + 2.71668e9i 0.246176 + 0.511191i
\(271\) −5.01155e8 + 2.19570e9i −0.0929170 + 0.407096i −0.999901 0.0140691i \(-0.995522\pi\)
0.906984 + 0.421165i \(0.138379\pi\)
\(272\) 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 0.498731 0.866757i \(-0.333799\pi\)
−0.734047 + 0.679099i \(0.762371\pi\)
\(278\) 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 0.590386 0.807121i \(-0.298975\pi\)
−0.918258 + 0.395983i \(0.870404\pi\)
\(282\) −1.67101e9 + 2.09539e9i −0.264231 + 0.331335i
\(283\) 4.16788e9 + 2.00715e9i 0.649785 + 0.312920i 0.729584 0.683891i \(-0.239714\pi\)
−0.0797990 + 0.996811i \(0.525428\pi\)
\(284\) −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 −0.707163 0.707050i \(-0.750025\pi\)
0.943910 0.330204i \(-0.107117\pi\)
\(294\) −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 0.926893 0.375326i \(-0.122469\pi\)
−0.997949 + 0.0640071i \(0.979612\pi\)
\(312\) 4.54286e8 + 5.69656e8i 0.0479414 + 0.0601166i
\(313\) −2.61025e9 5.42025e9i −0.271960 0.564731i 0.719598 0.694390i \(-0.244326\pi\)
−0.991559 + 0.129659i \(0.958612\pi\)
\(314\) 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 −0.964956 0.262412i \(-0.915482\pi\)
0.755539 0.655104i \(-0.227375\pi\)
\(318\) 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 −0.520285 0.853992i \(-0.674174\pi\)
−0.839294 + 0.543677i \(0.817032\pi\)
\(332\) 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 0.0997762 + 0.995010i \(0.468187\pi\)
−0.840140 + 0.542370i \(0.817527\pi\)
\(348\) −3.89057e9 + 4.87861e9i −0.265275 + 0.332644i
\(349\) −1.96381e10 4.48226e9i −1.32372 0.302131i −0.498477 0.866903i \(-0.666107\pi\)
−0.825247 + 0.564772i \(0.808964\pi\)
\(350\) 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 0.558515 0.829495i \(-0.311371\pi\)
−0.932979 + 0.359932i \(0.882800\pi\)
\(354\) 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 0.162377 0.986729i \(-0.448084\pi\)
0.925857 0.377874i \(-0.123345\pi\)
\(360\) −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 0.969496 0.245107i \(-0.0788230\pi\)
−0.454694 + 0.890647i \(0.650252\pi\)
\(368\) 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 0.711640 0.702544i \(-0.247953\pi\)
−0.992971 + 0.118354i \(0.962238\pi\)
\(374\) −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 0.802450 + 0.596719i \(0.203529\pi\)
−0.981889 + 0.189456i \(0.939328\pi\)
\(380\) −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 0.665190 0.746674i \(-0.268350\pi\)
−0.579934 + 0.814663i \(0.696922\pi\)
\(384\) 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 0.983620 + 0.180255i \(0.0576924\pi\)
−0.472348 + 0.881412i \(0.656593\pi\)
\(390\) 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 0.942094 + 0.335348i \(0.108854\pi\)
−0.703296 + 0.710897i \(0.748289\pi\)
\(398\) 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 −0.267271 0.963621i \(-0.586122\pi\)
0.586749 + 0.809769i \(0.300408\pi\)
\(402\) 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 −0.770300 0.637682i \(-0.779893\pi\)
0.978834 + 0.204657i \(0.0656078\pi\)
\(410\) 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 −0.883758 0.467945i \(-0.844995\pi\)
0.259558 + 0.965728i \(0.416423\pi\)
\(420\) −9.00458e9 + 2.05524e9i −0.289379 + 0.0660488i
\(421\) 4.16048e10 3.31787e10i 1.32439 1.05616i 0.330729 0.943726i \(-0.392705\pi\)
0.993659 0.112438i \(-0.0358661\pi\)
\(422\) 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 −0.117736 0.993045i \(-0.537564\pi\)
0.849801 0.527104i \(-0.176722\pi\)
\(434\) 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 0.885275 0.465068i \(-0.153970\pi\)
−0.650400 + 0.759592i \(0.725399\pi\)
\(440\) −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 0.759203 + 0.650854i \(0.225589\pi\)
−0.966413 + 0.256993i \(0.917268\pi\)
\(444\) −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 0.621791 0.783183i \(-0.286405\pi\)
−0.625185 + 0.780476i \(0.714977\pi\)
\(450\) −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 0.498898 0.866660i \(-0.333738\pi\)
0.825522 + 0.564370i \(0.190881\pi\)
\(458\) 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 −0.567695 0.823239i \(-0.692165\pi\)
0.289683 + 0.957123i \(0.406450\pi\)
\(462\) −9.22111e9 + 7.35359e9i −0.202402 + 0.161410i
\(463\) −3.80083e10 + 8.67516e9i −0.827094 + 0.188779i −0.615057 0.788483i \(-0.710867\pi\)
−0.212037 + 0.977262i \(0.568010\pi\)
\(464\) 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 \(-0.871651\pi\)
0.919802 0.392383i \(-0.128349\pi\)
\(468\) 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 −0.967330 0.253520i \(-0.918412\pi\)
−0.404911 + 0.914356i \(0.632697\pi\)
\(488\) −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 −0.706975 0.707238i \(-0.749941\pi\)
0.993733 + 0.111779i \(0.0356550\pi\)
\(492\) −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 −0.745002 0.667062i \(-0.767552\pi\)
−0.381797 + 0.924246i \(0.624695\pi\)
\(500\) 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 0.0440469 0.999029i \(-0.485975\pi\)
−0.393778 + 0.919206i \(0.628832\pi\)
\(504\) 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 0.880103 0.474782i \(-0.157473\pi\)
0.586946 + 0.809626i \(0.300330\pi\)
\(522\) −2.39896e10 −0.323103
\(523\) 1.51591e10i 0.202613i −0.994855 0.101306i \(-0.967698\pi\)
0.994855 0.101306i \(-0.0323022\pi\)
\(524\) −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 0.785393 0.618998i \(-0.212461\pi\)
0.00573232 + 0.999984i \(0.498175\pi\)
\(542\) −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 −0.484396 0.874849i \(-0.660961\pi\)
0.381968 + 0.924176i \(0.375246\pi\)
\(548\) 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 −0.979914 0.199419i \(-0.936095\pi\)
−0.455055 + 0.890464i \(0.650380\pi\)
\(558\) 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 −0.831536 0.555471i \(-0.812538\pi\)
0.726579 + 0.687083i \(0.241109\pi\)
\(564\) 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 0.765082 + 0.643933i \(0.222699\pi\)
−0.409923 + 0.912120i \(0.634444\pi\)
\(570\) 9.50454e8 + 1.19183e9i 0.00900392 + 0.0112906i
\(571\) −8.32399e10 1.72849e11i −0.783045 1.62601i −0.779810 0.626016i \(-0.784684\pi\)
−0.00323522 0.999995i \(-0.501030\pi\)
\(572\) 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 −0.898730 0.438502i \(-0.855509\pi\)
0.903184 + 0.429254i \(0.141223\pi\)
\(578\) 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 0.473246 0.880931i \(-0.343082\pi\)
−0.753537 + 0.657406i \(0.771654\pi\)
\(588\) 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 −0.874604 0.484837i \(-0.838879\pi\)
0.278064 + 0.960563i \(0.410307\pi\)
\(594\) 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 0.447961 0.894053i \(-0.352150\pi\)
−0.419700 + 0.907663i \(0.637865\pi\)
\(600\) −1.15947e10 + 5.58370e9i −0.0894650 + 0.0430841i
\(601\) 7.39716e10i 0.566979i −0.958975 0.283490i \(-0.908508\pi\)
0.958975 0.283490i \(-0.0914922\pi\)
\(602\) 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 0.0985814 0.995129i \(-0.468570\pi\)
−0.342952 + 0.939353i \(0.611427\pi\)
\(608\) 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 0.572735 0.819740i \(-0.305882\pi\)
−0.926633 + 0.375966i \(0.877311\pi\)
\(614\) −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 −0.801647 0.597798i \(-0.796043\pi\)
0.761193 + 0.648526i \(0.224614\pi\)
\(618\) 5.44713e9 + 2.38654e10i 0.0373434 + 0.163612i
\(619\) −1.76077e10 7.71444e10i −0.119933 0.525463i −0.998826 0.0484428i \(-0.984574\pi\)
0.878893 0.477020i \(-0.158283\pi\)
\(620\) −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 −0.862795 0.505554i \(-0.831288\pi\)
0.142686 0.989768i \(-0.454426\pi\)
\(632\) 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 −0.153622 0.988130i \(-0.549094\pi\)
−0.997539 + 0.0701089i \(0.977665\pi\)
\(642\) 7.78515e10 + 3.74913e10i 0.458276 + 0.220694i
\(643\) −1.83990e11 + 8.86047e10i −1.07634 + 0.518338i −0.886145 0.463408i \(-0.846626\pi\)
−0.190195 + 0.981746i \(0.560912\pi\)
\(644\) 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 0.904291 0.426917i \(-0.140400\pi\)
−0.897593 + 0.440825i \(0.854686\pi\)
\(648\) −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 0.983627 0.180218i \(-0.0576804\pi\)
0.808023 + 0.589151i \(0.200538\pi\)
\(654\) −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 −0.588570 0.808446i \(-0.700309\pi\)
0.265101 + 0.964221i \(0.414595\pi\)
\(660\) 7.30863e10 9.16474e10i 0.385177 0.482997i
\(661\) −1.17539e10 5.14973e10i −0.0615711 0.269761i 0.934767 0.355261i \(-0.115608\pi\)
−0.996338 + 0.0855007i \(0.972751\pi\)
\(662\) −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 0.819760 0.572707i \(-0.194107\pi\)
−0.375934 + 0.926646i \(0.622678\pi\)
\(674\) 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 −0.999932 0.0116338i \(-0.996297\pi\)
−0.211164 + 0.977451i \(0.567725\pi\)
\(678\) 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 −0.885836 0.463998i \(-0.846415\pi\)
0.999432 0.0336976i \(-0.0107283\pi\)
\(684\) 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 0.544370 + 0.838845i \(0.316769\pi\)
−0.995245 + 0.0974054i \(0.968946\pi\)
\(692\) −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 −0.717940 0.696105i \(-0.754915\pi\)
0.948870 0.315666i \(-0.102228\pi\)
\(702\) −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 −0.171131 0.985248i \(-0.554742\pi\)
−0.876997 + 0.480496i \(0.840457\pi\)
\(710\) −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 0.633679 0.773596i \(-0.281544\pi\)
0.999914 0.0131011i \(-0.00417033\pi\)
\(720\) −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 −0.119427 0.992843i \(-0.538106\pi\)
−0.994525 + 0.104495i \(0.966677\pi\)
\(728\) −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 0.791186 0.611575i \(-0.209464\pi\)
−0.971445 + 0.237264i \(0.923749\pi\)
\(734\) −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 0.114161 0.993462i \(-0.463582\pi\)
−0.328191 + 0.944611i \(0.606439\pi\)
\(740\) −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 −0.907851 0.419294i \(-0.862278\pi\)
0.238219 0.971212i \(-0.423436\pi\)
\(744\) −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 0.313485 0.949593i \(-0.398503\pi\)
0.995542 0.0943213i \(-0.0300681\pi\)
\(752\) −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
\(756\) 1.31181e11 + 6.31734e10i