Properties

Label 43.10.g.a.9.19
Level 43
Weight 10
Character 43.9
Analytic conductor 22.147
Analytic rank 0
Dimension 384
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(32\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.19
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.19

$q$-expansion

\(f(q)\) \(=\) \(q+(5.76177 + 7.22503i) q^{2} +(-210.346 - 31.7046i) q^{3} +(94.9276 - 415.905i) q^{4} +(-491.581 - 335.154i) q^{5} +(-982.900 - 1702.43i) q^{6} +(3301.83 - 5718.94i) q^{7} +(7814.79 - 3763.41i) q^{8} +(24431.8 + 7536.22i) q^{9} +O(q^{10})\) \(q+(5.76177 + 7.22503i) q^{2} +(-210.346 - 31.7046i) q^{3} +(94.9276 - 415.905i) q^{4} +(-491.581 - 335.154i) q^{5} +(-982.900 - 1702.43i) q^{6} +(3301.83 - 5718.94i) q^{7} +(7814.79 - 3763.41i) q^{8} +(24431.8 + 7536.22i) q^{9} +(-410.877 - 5482.77i) q^{10} +(-11705.7 - 51286.1i) q^{11} +(-33153.8 + 84474.5i) q^{12} +(-31.9269 + 426.035i) q^{13} +(60343.9 - 9095.39i) q^{14} +(92776.3 + 86083.8i) q^{15} +(-124572. - 59990.5i) q^{16} +(220068. - 150040. i) q^{17} +(86321.2 + 219943. i) q^{18} +(-620534. + 191410. i) q^{19} +(-186057. + 172636. i) q^{20} +(-875845. + 1.09827e6i) q^{21} +(303098. - 380073. i) q^{22} +(-1.13632e6 + 1.05435e6i) q^{23} +(-1.76313e6 + 543854. i) q^{24} +(-584233. - 1.48860e6i) q^{25} +(-3262.07 + 2224.04i) q^{26} +(-1.12785e6 - 543142. i) q^{27} +(-2.06510e6 - 1.91613e6i) q^{28} +(724627. - 109220. i) q^{29} +(-87402.7 + 1.16631e6i) q^{30} +(-50396.5 + 128408. i) q^{31} +(-1.27253e6 - 5.57531e6i) q^{32} +(836248. + 1.11590e7i) q^{33} +(2.35202e6 + 725503. i) q^{34} +(-3.53985e6 + 1.70470e6i) q^{35} +(5.45361e6 - 9.44593e6i) q^{36} +(4.10642e6 + 7.11253e6i) q^{37} +(-4.95832e6 - 3.38052e6i) q^{38} +(20223.0 - 88602.6i) q^{39} +(-5.10293e6 - 769142. i) q^{40} +(-8.51999e6 - 1.06837e7i) q^{41} -1.29815e7 q^{42} +(-5.61614e6 + 2.17037e7i) q^{43} -2.24413e7 q^{44} +(-9.48443e6 - 1.18931e7i) q^{45} +(-1.41649e7 - 2.13502e6i) q^{46} +(-9.61857e6 + 4.21417e7i) q^{47} +(2.43012e7 + 1.65683e7i) q^{48} +(-1.62739e6 - 2.81872e6i) q^{49} +(7.38898e6 - 1.27981e7i) q^{50} +(-5.10474e7 + 2.45831e7i) q^{51} +(174159. + 53721.1i) q^{52} +(-2.62395e6 - 3.50142e7i) q^{53} +(-2.57417e6 - 1.12782e7i) q^{54} +(-1.14344e7 + 2.91345e7i) q^{55} +(4.28044e6 - 5.71185e7i) q^{56} +(1.36596e8 - 2.05885e7i) q^{57} +(4.96425e6 + 4.60615e6i) q^{58} +(1.02697e8 + 4.94564e7i) q^{59} +(4.46097e7 - 3.04144e7i) q^{60} +(3.35432e7 + 8.54668e7i) q^{61} +(-1.21813e6 + 375742. i) q^{62} +(1.23769e8 - 1.14841e8i) q^{63} +(-1.11878e7 + 1.40290e7i) q^{64} +(158482. - 198730. i) q^{65} +(-7.58056e7 + 7.03373e7i) q^{66} +(1.52378e8 - 4.70024e7i) q^{67} +(-4.15118e7 - 1.05770e8i) q^{68} +(2.72448e8 - 1.85752e8i) q^{69} +(-3.27123e7 - 1.57534e7i) q^{70} +(-1.94575e8 - 1.80539e8i) q^{71} +(2.19292e8 - 3.30529e7i) q^{72} +(1.70396e7 - 2.27377e8i) q^{73} +(-2.77280e7 + 7.06498e7i) q^{74} +(7.56957e7 + 3.31645e8i) q^{75} +(2.07023e7 + 2.76254e8i) q^{76} +(-3.31952e8 - 1.02394e8i) q^{77} +(756677. - 364397. i) q^{78} +(-3.67892e7 + 6.37207e7i) q^{79} +(4.11309e7 + 7.12409e7i) q^{80} +(-1.95786e8 - 1.33485e8i) q^{81} +(2.81001e7 - 1.23114e8i) q^{82} +(-5.07572e8 - 7.65042e7i) q^{83} +(3.73636e8 + 4.68525e8i) q^{84} -1.58468e8 q^{85} +(-1.89169e8 + 8.44751e7i) q^{86} -1.55885e8 q^{87} +(-2.84488e8 - 3.56737e8i) q^{88} +(6.94069e8 + 1.04614e8i) q^{89} +(3.12809e7 - 1.37051e8i) q^{90} +(2.33105e6 + 1.58928e6i) q^{91} +(3.30641e8 + 5.72688e8i) q^{92} +(1.46718e7 - 2.54124e7i) q^{93} +(-3.59895e8 + 1.73316e8i) q^{94} +(3.69195e8 + 1.13881e8i) q^{95} +(9.09086e7 + 1.21309e9i) q^{96} +(4.04459e7 + 1.77205e8i) q^{97} +(1.09887e7 - 2.79987e7i) q^{98} +(1.00511e8 - 1.34123e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + O(q^{10}) \) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + 6223q^{10} + 180668q^{11} - 270774q^{12} + 11245q^{13} - 271206q^{14} - 835123q^{15} - 6169448q^{16} - 65194q^{17} - 466218q^{18} - 1417919q^{19} + 5877261q^{20} + 3242929q^{21} - 4296822q^{22} - 2544899q^{23} - 6043976q^{24} + 9428207q^{25} - 11482629q^{26} + 20117988q^{27} + 7310292q^{28} - 5289921q^{29} + 23977480q^{30} - 47539873q^{31} + 18747558q^{32} - 68064193q^{33} - 73743233q^{34} - 15006505q^{35} - 203628199q^{36} + 62563960q^{37} + 108303102q^{38} + 70931426q^{39} + 14772713q^{40} - 35636128q^{41} + 29601006q^{42} - 207110915q^{43} + 367809332q^{44} + 122079484q^{45} + 164249271q^{46} + 25529106q^{47} + 191670995q^{48} - 815972056q^{49} - 210640197q^{50} - 392161947q^{51} - 873472922q^{52} + 87568125q^{53} + 627150582q^{54} + 628156420q^{55} + 725546751q^{56} - 402646583q^{57} - 677654606q^{58} + 552834314q^{59} + 990764675q^{60} + 376844345q^{61} + 76529685q^{62} - 505887225q^{63} + 621236102q^{64} + 8885906q^{65} + 895281647q^{66} + 789662056q^{67} - 2265959151q^{68} - 2055955619q^{69} + 3236566615q^{70} + 635670789q^{71} - 1964730073q^{72} + 1333013552q^{73} - 5184014638q^{74} + 720042326q^{75} + 477329288q^{76} + 2282266995q^{77} + 5133145036q^{78} + 2903853142q^{79} + 6779574014q^{80} + 3699743739q^{81} - 1268184088q^{82} - 3074947634q^{83} - 1313116801q^{84} + 1946616146q^{85} - 10088814540q^{86} - 6085081326q^{87} - 8012630430q^{88} - 1632065068q^{89} + 3316166089q^{90} + 5386571784q^{91} + 2280339030q^{92} + 2459095364q^{93} - 5048567488q^{94} - 1597173221q^{95} - 10288936616q^{96} - 4337315288q^{97} - 14989446392q^{98} - 5338096561q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.76177 + 7.22503i 0.254637 + 0.319304i 0.892676 0.450700i \(-0.148826\pi\)
−0.638039 + 0.770004i \(0.720254\pi\)
\(3\) −210.346 31.7046i −1.49930 0.225983i −0.652458 0.757825i \(-0.726262\pi\)
−0.846844 + 0.531841i \(0.821500\pi\)
\(4\) 94.9276 415.905i 0.185406 0.812315i
\(5\) −491.581 335.154i −0.351747 0.239817i 0.374537 0.927212i \(-0.377802\pi\)
−0.726284 + 0.687395i \(0.758754\pi\)
\(6\) −982.900 1702.43i −0.309620 0.536277i
\(7\) 3301.83 5718.94i 0.519773 0.900273i −0.479963 0.877289i \(-0.659350\pi\)
0.999736 0.0229845i \(-0.00731685\pi\)
\(8\) 7814.79 3763.41i 0.674547 0.324845i
\(9\) 24431.8 + 7536.22i 1.24127 + 0.382880i
\(10\) −410.877 5482.77i −0.0129931 0.173380i
\(11\) −11705.7 51286.1i −0.241063 1.05617i −0.940051 0.341033i \(-0.889223\pi\)
0.698988 0.715133i \(-0.253634\pi\)
\(12\) −33153.8 + 84474.5i −0.461549 + 1.17601i
\(13\) −31.9269 + 426.035i −0.000310036 + 0.00413714i −0.997357 0.0726614i \(-0.976851\pi\)
0.997047 + 0.0767985i \(0.0244698\pi\)
\(14\) 60343.9 9095.39i 0.419815 0.0632769i
\(15\) 92776.3 + 86083.8i 0.473180 + 0.439047i
\(16\) −124572. 59990.5i −0.475203 0.228846i
\(17\) 220068. 150040.i 0.639053 0.435699i −0.199965 0.979803i \(-0.564083\pi\)
0.839018 + 0.544104i \(0.183130\pi\)
\(18\) 86321.2 + 219943.i 0.193817 + 0.493837i
\(19\) −620534. + 191410.i −1.09238 + 0.336955i −0.788050 0.615611i \(-0.788909\pi\)
−0.304332 + 0.952566i \(0.598433\pi\)
\(20\) −186057. + 172636.i −0.260023 + 0.241266i
\(21\) −875845. + 1.09827e6i −0.982744 + 1.23232i
\(22\) 303098. 380073.i 0.275855 0.345911i
\(23\) −1.13632e6 + 1.05435e6i −0.846691 + 0.785614i −0.978627 0.205644i \(-0.934071\pi\)
0.131936 + 0.991258i \(0.457881\pi\)
\(24\) −1.76313e6 + 543854.i −1.08476 + 0.334604i
\(25\) −584233. 1.48860e6i −0.299127 0.762164i
\(26\) −3262.07 + 2224.04i −0.00139995 + 0.000954472i
\(27\) −1.12785e6 543142.i −0.408426 0.196688i
\(28\) −2.06510e6 1.91613e6i −0.634937 0.589135i
\(29\) 724627. 109220.i 0.190249 0.0286755i −0.0532263 0.998582i \(-0.516950\pi\)
0.243476 + 0.969907i \(0.421712\pi\)
\(30\) −87402.7 + 1.16631e6i −0.0197006 + 0.262886i
\(31\) −50396.5 + 128408.i −0.00980105 + 0.0249727i −0.935691 0.352822i \(-0.885222\pi\)
0.925889 + 0.377794i \(0.123317\pi\)
\(32\) −1.27253e6 5.57531e6i −0.214532 0.939927i
\(33\) 836248. + 1.11590e7i 0.122750 + 1.63799i
\(34\) 2.35202e6 + 725503.i 0.301847 + 0.0931074i
\(35\) −3.53985e6 + 1.70470e6i −0.398729 + 0.192018i
\(36\) 5.45361e6 9.44593e6i 0.541157 0.937311i
\(37\) 4.10642e6 + 7.11253e6i 0.360210 + 0.623902i 0.987995 0.154485i \(-0.0493717\pi\)
−0.627785 + 0.778387i \(0.716038\pi\)
\(38\) −4.95832e6 3.38052e6i −0.385752 0.263001i
\(39\) 20223.0 88602.6i 0.00139976 0.00613276i
\(40\) −5.10293e6 769142.i −0.315173 0.0475047i
\(41\) −8.51999e6 1.06837e7i −0.470881 0.590467i 0.488505 0.872561i \(-0.337542\pi\)
−0.959387 + 0.282094i \(0.908971\pi\)
\(42\) −1.29815e7 −0.643728
\(43\) −5.61614e6 + 2.17037e7i −0.250513 + 0.968113i
\(44\) −2.24413e7 −0.902634
\(45\) −9.48443e6 1.18931e7i −0.344790 0.432353i
\(46\) −1.41649e7 2.13502e6i −0.466449 0.0703058i
\(47\) −9.61857e6 + 4.21417e7i −0.287521 + 1.25971i 0.600393 + 0.799705i \(0.295011\pi\)
−0.887915 + 0.460008i \(0.847846\pi\)
\(48\) 2.43012e7 + 1.65683e7i 0.660757 + 0.450497i
\(49\) −1.62739e6 2.81872e6i −0.0403282 0.0698504i
\(50\) 7.38898e6 1.27981e7i 0.167194 0.289588i
\(51\) −5.10474e7 + 2.45831e7i −1.05659 + 0.508829i
\(52\) 174159. + 53721.1i 0.00330318 + 0.00101890i
\(53\) −2.62395e6 3.50142e7i −0.0456788 0.609541i −0.972329 0.233616i \(-0.924944\pi\)
0.926650 0.375925i \(-0.122675\pi\)
\(54\) −2.57417e6 1.12782e7i −0.0411970 0.180496i
\(55\) −1.14344e7 + 2.91345e7i −0.168493 + 0.429314i
\(56\) 4.28044e6 5.71185e7i 0.0581624 0.776123i
\(57\) 1.36596e8 2.05885e7i 1.71396 0.258338i
\(58\) 4.96425e6 + 4.60615e6i 0.0576007 + 0.0534457i
\(59\) 1.02697e8 + 4.94564e7i 1.10338 + 0.531359i 0.894719 0.446629i \(-0.147376\pi\)
0.208659 + 0.977988i \(0.433090\pi\)
\(60\) 4.46097e7 3.04144e7i 0.444374 0.302969i
\(61\) 3.35432e7 + 8.54668e7i 0.310185 + 0.790338i 0.997925 + 0.0643815i \(0.0205075\pi\)
−0.687740 + 0.725957i \(0.741397\pi\)
\(62\) −1.21813e6 + 375742.i −0.0104696 + 0.00322944i
\(63\) 1.23769e8 1.14841e8i 0.989873 0.918468i
\(64\) −1.11878e7 + 1.40290e7i −0.0833555 + 0.104525i
\(65\) 158482. 198730.i 0.00110121 0.00138087i
\(66\) −7.58056e7 + 7.03373e7i −0.491760 + 0.456287i
\(67\) 1.52378e8 4.70024e7i 0.923817 0.284960i 0.203877 0.978996i \(-0.434646\pi\)
0.719940 + 0.694037i \(0.244170\pi\)
\(68\) −4.15118e7 1.05770e8i −0.235441 0.599893i
\(69\) 2.72448e8 1.85752e8i 1.44698 0.986535i
\(70\) −3.27123e7 1.57534e7i −0.162843 0.0784212i
\(71\) −1.94575e8 1.80539e8i −0.908709 0.843159i 0.0794113 0.996842i \(-0.474696\pi\)
−0.988120 + 0.153683i \(0.950886\pi\)
\(72\) 2.19292e8 3.30529e7i 0.961669 0.144948i
\(73\) 1.70396e7 2.27377e8i 0.0702272 0.937117i −0.845152 0.534525i \(-0.820490\pi\)
0.915380 0.402592i \(-0.131891\pi\)
\(74\) −2.77280e7 + 7.06498e7i −0.107492 + 0.273885i
\(75\) 7.56957e7 + 3.31645e8i 0.276246 + 1.21031i
\(76\) 2.07023e7 + 2.76254e8i 0.0711800 + 0.949832i
\(77\) −3.31952e8 1.02394e8i −1.07614 0.331944i
\(78\) 756677. 364397.i 0.00231465 0.00111468i
\(79\) −3.67892e7 + 6.37207e7i −0.106267 + 0.184060i −0.914255 0.405139i \(-0.867223\pi\)
0.807988 + 0.589199i \(0.200556\pi\)
\(80\) 4.11309e7 + 7.12409e7i 0.112270 + 0.194457i
\(81\) −1.95786e8 1.33485e8i −0.505359 0.344548i
\(82\) 2.81001e7 1.23114e8i 0.0686349 0.300709i
\(83\) −5.07572e8 7.65042e7i −1.17394 0.176943i −0.467028 0.884243i \(-0.654675\pi\)
−0.706914 + 0.707300i \(0.749913\pi\)
\(84\) 3.73636e8 + 4.68525e8i 0.818827 + 1.02678i
\(85\) −1.58468e8 −0.329273
\(86\) −1.89169e8 + 8.44751e7i −0.372913 + 0.166527i
\(87\) −1.55885e8 −0.291722
\(88\) −2.84488e8 3.56737e8i −0.505699 0.634126i
\(89\) 6.94069e8 + 1.04614e8i 1.17259 + 0.176740i 0.706315 0.707898i \(-0.250356\pi\)
0.466279 + 0.884638i \(0.345594\pi\)
\(90\) 3.12809e7 1.37051e8i 0.0502560 0.220186i
\(91\) 2.33105e6 + 1.58928e6i 0.00356341 + 0.00242949i
\(92\) 3.30641e8 + 5.72688e8i 0.481185 + 0.833437i
\(93\) 1.46718e7 2.54124e7i 0.0203381 0.0352267i
\(94\) −3.59895e8 + 1.73316e8i −0.475446 + 0.228962i
\(95\) 3.69195e8 + 1.13881e8i 0.465050 + 0.143449i
\(96\) 9.09086e7 + 1.21309e9i 0.109241 + 1.45771i
\(97\) 4.04459e7 + 1.77205e8i 0.0463876 + 0.203237i 0.992811 0.119690i \(-0.0381901\pi\)
−0.946424 + 0.322928i \(0.895333\pi\)
\(98\) 1.09887e7 2.79987e7i 0.0120345 0.0306634i
\(99\) 1.00511e8 1.34123e9i 0.105161 1.40328i
\(100\) −6.74577e8 + 1.01676e8i −0.674577 + 0.101676i
\(101\) −1.02211e9 9.48376e8i −0.977350 0.906848i 0.0183180 0.999832i \(-0.494169\pi\)
−0.995668 + 0.0929844i \(0.970359\pi\)
\(102\) −4.71738e8 2.27177e8i −0.431519 0.207808i
\(103\) −1.69062e8 + 1.15264e8i −0.148005 + 0.100908i −0.635059 0.772464i \(-0.719024\pi\)
0.487053 + 0.873372i \(0.338072\pi\)
\(104\) 1.35384e6 + 3.44953e6i 0.00113479 + 0.00289141i
\(105\) 7.98640e8 2.46348e8i 0.641209 0.197787i
\(106\) 2.37860e8 2.20702e8i 0.182998 0.169797i
\(107\) −5.64557e7 + 7.07933e7i −0.0416372 + 0.0522113i −0.802214 0.597036i \(-0.796345\pi\)
0.760577 + 0.649248i \(0.224916\pi\)
\(108\) −3.32960e8 + 4.17518e8i −0.235497 + 0.295303i
\(109\) −2.08352e9 + 1.93322e9i −1.41377 + 1.31179i −0.526773 + 0.850006i \(0.676598\pi\)
−0.886995 + 0.461779i \(0.847211\pi\)
\(110\) −2.76380e8 + 8.52520e7i −0.179986 + 0.0555185i
\(111\) −6.38270e8 1.62629e9i −0.399072 1.01682i
\(112\) −7.54396e8 + 5.14339e8i −0.453021 + 0.308865i
\(113\) −1.10808e9 5.33624e8i −0.639321 0.307881i 0.0859962 0.996295i \(-0.472593\pi\)
−0.725317 + 0.688415i \(0.758307\pi\)
\(114\) 9.35786e8 + 8.68282e8i 0.518925 + 0.481492i
\(115\) 9.11963e8 1.37456e8i 0.486224 0.0732865i
\(116\) 2.33620e7 3.11744e8i 0.0119798 0.159859i
\(117\) −3.99073e6 + 1.01682e7i −0.00196886 + 0.00501658i
\(118\) 2.34394e8 + 1.02695e9i 0.111295 + 0.487617i
\(119\) −1.31441e8 1.75396e9i −0.0600856 0.801786i
\(120\) 1.04900e9 + 3.23572e8i 0.461805 + 0.142448i
\(121\) −3.68799e8 + 1.77604e8i −0.156407 + 0.0753216i
\(122\) −4.24232e8 + 7.34791e8i −0.173374 + 0.300293i
\(123\) 1.45342e9 + 2.51740e9i 0.572558 + 0.991699i
\(124\) 4.86216e7 + 3.31496e7i 0.0184685 + 0.0125916i
\(125\) −4.70291e8 + 2.06048e9i −0.172294 + 0.754871i
\(126\) 1.54286e9 + 2.32548e8i 0.545329 + 0.0821951i
\(127\) −2.92367e9 3.66617e9i −0.997269 1.25054i −0.967996 0.250964i \(-0.919252\pi\)
−0.0292721 0.999571i \(-0.509319\pi\)
\(128\) −3.09379e9 −1.01870
\(129\) 1.86944e9 4.38724e9i 0.594372 1.39488i
\(130\) 2.34897e6 0.000721327
\(131\) −1.22988e9 1.54222e9i −0.364873 0.457537i 0.565176 0.824970i \(-0.308808\pi\)
−0.930050 + 0.367433i \(0.880237\pi\)
\(132\) 4.72045e9 + 7.11493e8i 1.35332 + 0.203980i
\(133\) −9.54241e8 + 4.18080e9i −0.264439 + 1.15858i
\(134\) 1.21756e9 + 8.30119e8i 0.326227 + 0.222417i
\(135\) 3.72392e8 + 6.45001e8i 0.0964935 + 0.167132i
\(136\) 1.15512e9 2.00073e9i 0.289537 0.501492i
\(137\) 6.31547e9 3.04137e9i 1.53166 0.737610i 0.537275 0.843407i \(-0.319454\pi\)
0.994388 + 0.105797i \(0.0337394\pi\)
\(138\) 2.91185e9 + 8.98186e8i 0.683460 + 0.210819i
\(139\) 3.85207e8 + 5.14023e9i 0.0875241 + 1.16793i 0.852094 + 0.523388i \(0.175332\pi\)
−0.764570 + 0.644540i \(0.777049\pi\)
\(140\) 3.72964e8 + 1.63406e9i 0.0820523 + 0.359495i
\(141\) 3.35932e9 8.55940e9i 0.715756 1.82372i
\(142\) 1.83305e8 2.44604e9i 0.0378336 0.504854i
\(143\) 2.22234e7 3.34964e6i 0.00444425 0.000669862i
\(144\) −2.59141e9 2.40448e9i −0.502233 0.466004i
\(145\) −3.92818e8 1.89171e8i −0.0737965 0.0355385i
\(146\) 1.74099e9 1.18698e9i 0.317108 0.216201i
\(147\) 2.52948e8 + 6.44502e8i 0.0446791 + 0.113840i
\(148\) 3.34795e9 1.03271e9i 0.573589 0.176929i
\(149\) −1.27190e9 + 1.18015e9i −0.211404 + 0.196154i −0.778767 0.627314i \(-0.784154\pi\)
0.567362 + 0.823468i \(0.307964\pi\)
\(150\) −1.96000e9 + 2.45777e9i −0.316116 + 0.396396i
\(151\) 3.44633e9 4.32156e9i 0.539461 0.676463i −0.435152 0.900357i \(-0.643305\pi\)
0.974614 + 0.223894i \(0.0718769\pi\)
\(152\) −4.12900e9 + 3.83115e9i −0.627406 + 0.582147i
\(153\) 6.50740e9 2.00727e9i 0.960054 0.296138i
\(154\) −1.17284e9 2.98834e9i −0.168033 0.428140i
\(155\) 6.78105e7 4.62324e7i 0.00943635 0.00643360i
\(156\) −3.49306e7 1.68217e7i −0.00472221 0.00227410i
\(157\) 5.01072e9 + 4.64927e9i 0.658191 + 0.610712i 0.936872 0.349671i \(-0.113707\pi\)
−0.278681 + 0.960384i \(0.589897\pi\)
\(158\) −6.72355e8 + 1.01341e8i −0.0858306 + 0.0129369i
\(159\) −5.58173e8 + 7.44830e9i −0.0692599 + 0.924209i
\(160\) −1.24304e9 + 3.16721e9i −0.149949 + 0.382065i
\(161\) 2.27783e9 + 9.97982e9i 0.267181 + 1.17059i
\(162\) −1.63644e8 2.18367e9i −0.0186673 0.249098i
\(163\) −1.21419e10 3.74529e9i −1.34724 0.415567i −0.464557 0.885543i \(-0.653786\pi\)
−0.882679 + 0.469976i \(0.844263\pi\)
\(164\) −5.25220e9 + 2.52933e9i −0.566949 + 0.273028i
\(165\) 3.32889e9 5.76580e9i 0.349640 0.605595i
\(166\) −2.37177e9 4.10803e9i −0.242430 0.419901i
\(167\) −1.09975e10 7.49797e9i −1.09413 0.745967i −0.124913 0.992168i \(-0.539865\pi\)
−0.969219 + 0.246201i \(0.920818\pi\)
\(168\) −2.71129e9 + 1.18789e10i −0.262594 + 1.15050i
\(169\) 1.04859e10 + 1.58049e9i 0.988814 + 0.149040i
\(170\) −9.13055e8 1.14493e9i −0.0838449 0.105138i
\(171\) −1.66033e10 −1.48495
\(172\) 8.49356e9 + 4.39606e9i 0.739966 + 0.382989i
\(173\) 1.00130e10 0.849881 0.424941 0.905221i \(-0.360295\pi\)
0.424941 + 0.905221i \(0.360295\pi\)
\(174\) −8.98176e8 1.12628e9i −0.0742831 0.0931480i
\(175\) −1.04423e10 1.57392e9i −0.841634 0.126856i
\(176\) −1.61848e9 + 7.09102e9i −0.127145 + 0.557059i
\(177\) −2.00340e10 1.36589e10i −1.53422 1.04601i
\(178\) 3.24323e9 + 5.61743e9i 0.242151 + 0.419419i
\(179\) 1.72732e9 2.99181e9i 0.125758 0.217819i −0.796271 0.604940i \(-0.793197\pi\)
0.922029 + 0.387121i \(0.126530\pi\)
\(180\) −5.84674e9 + 2.81564e9i −0.415133 + 0.199917i
\(181\) 2.19225e10 + 6.76220e9i 1.51823 + 0.468311i 0.938144 0.346247i \(-0.112544\pi\)
0.580083 + 0.814557i \(0.303020\pi\)
\(182\) 1.94836e6 + 2.59990e7i 0.000131628 + 0.00175645i
\(183\) −4.34600e9 1.90411e10i −0.286458 1.25505i
\(184\) −4.91215e9 + 1.25160e10i −0.315930 + 0.804977i
\(185\) 3.65156e8 4.87267e9i 0.0229195 0.305840i
\(186\) 2.68141e8 4.04158e7i 0.0164269 0.00247595i
\(187\) −1.02710e10 9.53010e9i −0.614222 0.569915i
\(188\) 1.66139e10 + 8.00082e9i 0.969976 + 0.467116i
\(189\) −6.83016e9 + 4.65672e9i −0.389361 + 0.265462i
\(190\) 1.30442e9 + 3.32360e9i 0.0726149 + 0.185020i
\(191\) −1.29937e9 + 4.00803e8i −0.0706453 + 0.0217912i −0.329876 0.944024i \(-0.607007\pi\)
0.259231 + 0.965815i \(0.416531\pi\)
\(192\) 2.79810e9 2.59625e9i 0.148596 0.137877i
\(193\) 1.82248e10 2.28532e10i 0.945485 1.18560i −0.0370104 0.999315i \(-0.511783\pi\)
0.982496 0.186286i \(-0.0596451\pi\)
\(194\) −1.04727e9 + 1.31324e9i −0.0530826 + 0.0665635i
\(195\) −3.96368e7 + 3.67776e7i −0.00196310 + 0.00182149i
\(196\) −1.32680e9 + 4.09264e8i −0.0642176 + 0.0198085i
\(197\) −3.48324e9 8.87514e9i −0.164773 0.419834i 0.824510 0.565847i \(-0.191451\pi\)
−0.989283 + 0.146014i \(0.953356\pi\)
\(198\) 1.02696e10 7.00166e9i 0.474852 0.323749i
\(199\) −8.76962e9 4.22323e9i −0.396408 0.190900i 0.225051 0.974347i \(-0.427745\pi\)
−0.621458 + 0.783447i \(0.713460\pi\)
\(200\) −1.01679e10 9.43441e9i −0.449361 0.416946i
\(201\) −3.35423e10 + 5.05570e9i −1.44948 + 0.218473i
\(202\) 9.62905e8 1.28491e10i 0.0406914 0.542989i
\(203\) 1.76797e9 4.50472e9i 0.0730708 0.186181i
\(204\) 5.37844e9 + 2.35645e10i 0.217431 + 0.952626i
\(205\) 6.07568e8 + 8.10743e9i 0.0240272 + 0.320620i
\(206\) −1.80688e9 5.57349e8i −0.0699081 0.0215638i
\(207\) −3.57082e10 + 1.71961e10i −1.35176 + 0.650975i
\(208\) 2.95352e7 5.11565e7i 0.00109410 0.00189503i
\(209\) 1.70804e10 + 2.95842e10i 0.619214 + 1.07251i
\(210\) 6.38145e9 + 4.35080e9i 0.226429 + 0.154377i
\(211\) −8.20189e9 + 3.59348e10i −0.284868 + 1.24809i 0.606602 + 0.795006i \(0.292532\pi\)
−0.891470 + 0.453081i \(0.850325\pi\)
\(212\) −1.48117e10 2.23250e9i −0.503608 0.0759068i
\(213\) 3.52042e10 + 4.41447e10i 1.17189 + 1.46950i
\(214\) −8.36769e8 −0.0272737
\(215\) 1.00349e10 8.78687e9i 0.320287 0.280454i
\(216\) −1.08580e10 −0.339396
\(217\) 5.67958e8 + 7.12196e8i 0.0173879 + 0.0218037i
\(218\) −2.59724e10 3.91470e9i −0.778856 0.117394i
\(219\) −1.07931e10 + 4.72877e10i −0.317065 + 1.38915i
\(220\) 1.10317e10 + 7.52131e9i 0.317499 + 0.216467i
\(221\) 5.68961e7 + 9.85469e7i 0.00160442 + 0.00277893i
\(222\) 8.07240e9 1.39818e10i 0.223056 0.386345i
\(223\) 2.17261e10 1.04628e10i 0.588316 0.283318i −0.115949 0.993255i \(-0.536991\pi\)
0.704265 + 0.709937i \(0.251277\pi\)
\(224\) −3.60865e10 1.11312e10i −0.957699 0.295411i
\(225\) −3.05545e9 4.07722e10i −0.0794794 1.06058i
\(226\) −2.52906e9 1.10806e10i −0.0644870 0.282536i
\(227\) 8.61357e9 2.19470e10i 0.215311 0.548604i −0.781886 0.623422i \(-0.785742\pi\)
0.997197 + 0.0748171i \(0.0238373\pi\)
\(228\) 4.40385e9 5.87653e10i 0.107926 1.44017i
\(229\) 2.39119e10 3.60414e9i 0.574585 0.0866047i 0.144679 0.989479i \(-0.453785\pi\)
0.429905 + 0.902874i \(0.358547\pi\)
\(230\) 6.24765e9 + 5.79697e9i 0.147211 + 0.136592i
\(231\) 6.65786e10 + 3.20626e10i 1.53844 + 0.740874i
\(232\) 5.25177e9 3.58060e9i 0.119017 0.0811446i
\(233\) −2.41966e10 6.16518e10i −0.537838 1.37039i −0.899025 0.437897i \(-0.855724\pi\)
0.361187 0.932493i \(-0.382372\pi\)
\(234\) −9.64593e7 + 2.97538e7i −0.00210316 + 0.000648740i
\(235\) 1.88523e10 1.74924e10i 0.403235 0.374148i
\(236\) 3.03180e10 3.80175e10i 0.636203 0.797774i
\(237\) 9.75871e9 1.22370e10i 0.200921 0.251947i
\(238\) 1.19151e10 1.10556e10i 0.240714 0.223350i
\(239\) −7.22500e10 + 2.22862e10i −1.43234 + 0.441819i −0.911311 0.411718i \(-0.864929\pi\)
−0.521032 + 0.853537i \(0.674453\pi\)
\(240\) −6.39308e9 1.62893e10i −0.124383 0.316921i
\(241\) 5.12731e9 3.49574e9i 0.0979068 0.0667517i −0.513377 0.858163i \(-0.671606\pi\)
0.611284 + 0.791411i \(0.290653\pi\)
\(242\) −3.40814e9 1.64127e9i −0.0638775 0.0307618i
\(243\) 5.50129e10 + 5.10445e10i 1.01213 + 0.939119i
\(244\) 3.87302e10 5.83764e9i 0.699513 0.105435i
\(245\) −1.44712e8 + 1.93105e9i −0.00256601 + 0.0342410i
\(246\) −9.81403e9 + 2.50058e10i −0.170860 + 0.435343i
\(247\) −6.17354e7 2.70481e8i −0.00105535 0.00462381i
\(248\) 8.94139e7 + 1.19315e9i 0.00150097 + 0.0200291i
\(249\) 1.04340e11 + 3.21848e10i 1.72011 + 0.530583i
\(250\) −1.75967e10 + 8.47414e9i −0.284906 + 0.137204i
\(251\) −4.61865e8 + 7.99973e8i −0.00734485 + 0.0127217i −0.869674 0.493626i \(-0.835671\pi\)
0.862330 + 0.506347i \(0.169005\pi\)
\(252\) −3.60138e10 6.23778e10i −0.562557 0.974378i
\(253\) 6.73749e10 + 4.59354e10i 1.03385 + 0.704864i
\(254\) 9.64267e9 4.22473e10i 0.145360 0.636864i
\(255\) 3.33331e10 + 5.02415e9i 0.493679 + 0.0744102i
\(256\) −1.20976e10 1.51699e10i −0.176043 0.220751i
\(257\) −3.51666e8 −0.00502842 −0.00251421 0.999997i \(-0.500800\pi\)
−0.00251421 + 0.999997i \(0.500800\pi\)
\(258\) 4.24693e10 1.17715e10i 0.596741 0.165403i
\(259\) 5.42348e10 0.748910
\(260\) −6.76086e7 8.47785e7i −0.000917534 0.00115055i
\(261\) 1.85271e10 + 2.79251e9i 0.247129 + 0.0372488i
\(262\) 4.05631e9 1.77719e10i 0.0531833 0.233011i
\(263\) −2.44185e10 1.66483e10i −0.314716 0.214570i 0.395652 0.918401i \(-0.370519\pi\)
−0.710367 + 0.703831i \(0.751471\pi\)
\(264\) 4.85308e10 + 8.40578e10i 0.614893 + 1.06503i
\(265\) −1.04453e10 + 1.80918e10i −0.130111 + 0.225359i
\(266\) −3.57046e10 + 1.71944e10i −0.437277 + 0.210581i
\(267\) −1.42678e11 4.40103e10i −1.71813 0.529973i
\(268\) −5.08365e9 6.78366e10i −0.0601962 0.803263i
\(269\) 9.49569e8 + 4.16033e9i 0.0110571 + 0.0484443i 0.980156 0.198230i \(-0.0635193\pi\)
−0.969098 + 0.246674i \(0.920662\pi\)
\(270\) −2.51452e9 + 6.40689e9i −0.0287951 + 0.0733686i
\(271\) −5.34438e9 + 7.13157e10i −0.0601915 + 0.803200i 0.882665 + 0.470002i \(0.155747\pi\)
−0.942857 + 0.333198i \(0.891872\pi\)
\(272\) −3.64152e10 + 5.48870e9i −0.403387 + 0.0608008i
\(273\) −4.39940e8 4.08205e8i −0.00479360 0.00444781i
\(274\) 5.83623e10 + 2.81058e10i 0.625540 + 0.301244i
\(275\) −6.95057e10 + 4.73882e10i −0.732863 + 0.499658i
\(276\) −5.13924e10 1.30946e11i −0.533099 1.35831i
\(277\) −1.28326e11 + 3.95833e10i −1.30965 + 0.403973i −0.869492 0.493947i \(-0.835554\pi\)
−0.440158 + 0.897921i \(0.645077\pi\)
\(278\) −3.49189e10 + 3.24000e10i −0.350638 + 0.325344i
\(279\) −2.19899e9 + 2.75745e9i −0.0217272 + 0.0272451i
\(280\) −2.12477e10 + 2.66437e10i −0.206586 + 0.259050i
\(281\) −7.42658e10 + 6.89086e10i −0.710576 + 0.659318i −0.950233 0.311539i \(-0.899155\pi\)
0.239657 + 0.970858i \(0.422965\pi\)
\(282\) 8.11976e10 2.50461e10i 0.764578 0.235841i
\(283\) 2.13965e10 + 5.45174e10i 0.198291 + 0.505238i 0.995086 0.0990117i \(-0.0315681\pi\)
−0.796795 + 0.604250i \(0.793473\pi\)
\(284\) −9.35578e10 + 6.37866e10i −0.853390 + 0.581831i
\(285\) −7.40482e10 3.56597e10i −0.664833 0.320167i
\(286\) 1.52247e8 + 1.41265e8i 0.00134556 + 0.00124850i
\(287\) −8.92312e10 + 1.34494e10i −0.776333 + 0.117013i
\(288\) 1.09266e10 1.45805e11i 0.0935876 1.24884i
\(289\) −1.74071e10 + 4.43525e10i −0.146786 + 0.374005i
\(290\) −8.96560e8 3.92809e9i −0.00744370 0.0326130i
\(291\) −2.88943e9 3.85568e10i −0.0236208 0.315197i
\(292\) −9.29498e10 2.86712e10i −0.748214 0.230793i
\(293\) −1.71363e11 + 8.25239e10i −1.35835 + 0.654147i −0.964268 0.264928i \(-0.914652\pi\)
−0.394083 + 0.919075i \(0.628938\pi\)
\(294\) −3.19912e9 + 5.54104e9i −0.0249728 + 0.0432542i
\(295\) −3.39085e10 5.87312e10i −0.260681 0.451513i
\(296\) 5.88581e10 + 4.01288e10i 0.445650 + 0.303839i
\(297\) −1.46534e10 + 6.42007e10i −0.109278 + 0.478780i
\(298\) −1.58550e10 2.38975e9i −0.116464 0.0175541i
\(299\) −4.12911e8 5.17774e8i −0.00298769 0.00374645i
\(300\) 1.45118e11 1.03437
\(301\) 1.05579e11 + 1.03780e11i 0.741357 + 0.728729i
\(302\) 5.10804e10 0.353364
\(303\) 1.84928e11 + 2.31893e11i 1.26041 + 1.58050i
\(304\) 8.87837e10 + 1.33820e10i 0.596214 + 0.0898648i
\(305\) 1.21553e10 5.32560e10i 0.0804299 0.352386i
\(306\) 5.19967e10 + 3.54507e10i 0.339023 + 0.231142i
\(307\) −8.87869e10 1.53783e11i −0.570462 0.988068i −0.996518 0.0833721i \(-0.973431\pi\)
0.426057 0.904696i \(-0.359902\pi\)
\(308\) −7.40975e10 + 1.28341e11i −0.469165 + 0.812617i
\(309\) 3.92159e10 1.88854e10i 0.244708 0.117845i
\(310\) 7.24739e8 + 2.23552e8i 0.00445712 + 0.00137484i
\(311\) −1.14567e10 1.52878e11i −0.0694442 0.926669i −0.917749 0.397161i \(-0.869996\pi\)
0.848305 0.529508i \(-0.177623\pi\)
\(312\) −1.75409e8 7.68519e8i −0.00104799 0.00459154i
\(313\) 1.15705e11 2.94811e11i 0.681400 1.73618i 0.00462457 0.999989i \(-0.498528\pi\)
0.676775 0.736190i \(-0.263377\pi\)
\(314\) −4.72050e9 + 6.29907e10i −0.0274034 + 0.365673i
\(315\) −9.93319e10 + 1.49719e10i −0.568449 + 0.0856799i
\(316\) 2.30095e10 + 2.13497e10i 0.129812 + 0.120448i
\(317\) −2.40274e11 1.15710e11i −1.33641 0.643581i −0.377162 0.926147i \(-0.623100\pi\)
−0.959248 + 0.282567i \(0.908814\pi\)
\(318\) −5.70303e10 + 3.88826e10i −0.312740 + 0.213223i
\(319\) −1.40837e10 3.58848e10i −0.0761482 0.194022i
\(320\) 1.02016e10 3.14678e9i 0.0543868 0.0167761i
\(321\) 1.41197e10 1.31012e10i 0.0742256 0.0688713i
\(322\) −5.89802e10 + 7.39589e10i −0.305742 + 0.383388i
\(323\) −1.07841e11 + 1.35228e11i −0.551279 + 0.691282i
\(324\) −7.41026e10 + 6.87571e10i −0.373577 + 0.346629i
\(325\) 6.52849e8 2.01377e8i 0.00324592 0.00100123i
\(326\) −4.28992e10 1.09305e11i −0.210363 0.535997i
\(327\) 4.99552e11 3.40589e11i 2.41611 1.64727i
\(328\) −1.06789e11 5.14269e10i −0.509442 0.245334i
\(329\) 2.09247e11 + 1.94153e11i 0.984641 + 0.913613i
\(330\) 6.08384e10 9.16992e9i 0.282400 0.0425650i
\(331\) 1.66524e10 2.22211e11i 0.0762520 1.01751i −0.819535 0.573029i \(-0.805768\pi\)
0.895787 0.444483i \(-0.146613\pi\)
\(332\) −8.00011e10 + 2.03840e11i −0.361389 + 0.920804i
\(333\) 4.67258e10 + 2.04719e11i 0.208237 + 0.912345i
\(334\) −9.19201e9 1.22659e11i −0.0404158 0.539312i
\(335\) −9.06592e10 2.79647e10i −0.393288 0.121313i
\(336\) 1.74991e11 8.42714e10i 0.749014 0.360706i
\(337\) 1.44276e11 2.49893e11i 0.609339 1.05541i −0.382010 0.924158i \(-0.624768\pi\)
0.991349 0.131249i \(-0.0418986\pi\)
\(338\) 4.89981e10 + 8.48672e10i 0.204199 + 0.353684i
\(339\) 2.16163e11 + 1.47377e11i 0.888960 + 0.606082i
\(340\) −1.50430e10 + 6.59075e10i −0.0610489 + 0.267473i
\(341\) 7.17547e9 + 1.08153e9i 0.0287380 + 0.00433155i
\(342\) −9.56644e10 1.19959e11i −0.378123 0.474151i
\(343\) 2.44988e11 0.955700
\(344\) 3.77910e10 + 1.90746e11i 0.145504 + 0.734416i
\(345\) −1.96186e11 −0.745559
\(346\) 5.76928e10 + 7.23445e10i 0.216411 + 0.271371i
\(347\) −4.36119e11 6.57344e10i −1.61481 0.243394i −0.721364 0.692556i \(-0.756485\pi\)
−0.893450 + 0.449162i \(0.851723\pi\)
\(348\) −1.47978e10 + 6.48335e10i −0.0540868 + 0.236970i
\(349\) 4.09120e10 + 2.78933e10i 0.147617 + 0.100643i 0.634876 0.772614i \(-0.281051\pi\)
−0.487259 + 0.873257i \(0.662003\pi\)
\(350\) −4.87943e10 8.45143e10i −0.173805 0.301040i
\(351\) 2.67406e8 4.63161e8i 0.000940350 0.00162873i
\(352\) −2.71040e11 + 1.30526e11i −0.941003 + 0.453163i
\(353\) −1.64016e11 5.05923e10i −0.562213 0.173420i 0.000606080 1.00000i \(-0.499807\pi\)
−0.562819 + 0.826580i \(0.690283\pi\)
\(354\) −1.67449e10 2.23446e11i −0.0566721 0.756236i
\(355\) 3.51409e10 + 1.53962e11i 0.117432 + 0.514502i
\(356\) 1.09396e11 2.78736e11i 0.360974 0.919746i
\(357\) −2.79605e10 + 3.73107e11i −0.0911040 + 1.21570i
\(358\) 3.15684e10 4.75817e9i 0.101573 0.0153097i
\(359\) 5.02326e10 + 4.66090e10i 0.159610 + 0.148097i 0.755935 0.654647i \(-0.227183\pi\)
−0.596325 + 0.802743i \(0.703373\pi\)
\(360\) −1.18877e11 5.72483e10i −0.373025 0.179639i
\(361\) 8.18083e10 5.57760e10i 0.253522 0.172848i
\(362\) 7.74554e10 + 1.97353e11i 0.237063 + 0.604025i
\(363\) 8.32065e10 2.56658e10i 0.251523 0.0775845i
\(364\) 8.82273e8 8.18629e8i 0.00263419 0.00244417i
\(365\) −8.45828e10 + 1.06063e11i −0.249439 + 0.312786i
\(366\) 1.12532e11 1.41110e11i 0.327801 0.411050i
\(367\) 1.99966e9 1.85541e9i 0.00575385 0.00533880i −0.677291 0.735716i \(-0.736846\pi\)
0.683044 + 0.730377i \(0.260656\pi\)
\(368\) 2.04804e11 6.31736e10i 0.582134 0.179565i
\(369\) −1.27644e11 3.25232e11i −0.358411 0.913217i
\(370\) 3.73091e10 2.54369e10i 0.103492 0.0705598i
\(371\) −2.08908e11 1.00605e11i −0.572496 0.275700i
\(372\) −9.17637e9 8.51443e9i −0.0248444 0.0230522i
\(373\) 6.55701e11 9.88310e10i 1.75394 0.264365i 0.808114 0.589026i \(-0.200488\pi\)
0.945830 + 0.324661i \(0.105250\pi\)
\(374\) 9.67610e9 1.29119e11i 0.0255728 0.341245i
\(375\) 1.64251e11 4.18504e11i 0.428910 1.09284i
\(376\) 8.34292e10 + 3.65527e11i 0.215265 + 0.943136i
\(377\) 2.33964e7 + 3.12203e8i 5.96504e−5 + 0.000795979i
\(378\) −7.29988e10 2.25172e10i −0.183909 0.0567284i
\(379\) 2.98350e11 1.43678e11i 0.742761 0.357695i −0.0239277 0.999714i \(-0.507617\pi\)
0.766689 + 0.642019i \(0.221903\pi\)
\(380\) 8.24107e10 1.42739e11i 0.202748 0.351170i
\(381\) 4.98749e11 + 8.63859e11i 1.21261 + 2.10030i
\(382\) −1.03825e10 7.07867e9i −0.0249469 0.0170085i
\(383\) 1.38979e10 6.08906e10i 0.0330031 0.144596i −0.955742 0.294206i \(-0.904945\pi\)
0.988745 + 0.149610i \(0.0478019\pi\)
\(384\) 6.50767e11 + 9.80874e10i 1.52734 + 0.230209i
\(385\) 1.28864e11 + 1.61590e11i 0.298922 + 0.374836i
\(386\) 2.70122e11 0.619323
\(387\) −3.00777e11 + 4.87937e11i −0.681624 + 1.10577i
\(388\) 7.75400e10 0.173693
\(389\) −4.06131e11 5.09272e11i −0.899275 1.12766i −0.991264 0.131895i \(-0.957894\pi\)
0.0919885 0.995760i \(-0.470678\pi\)
\(390\) −4.94097e8 7.44732e7i −0.00108149 0.000163008i
\(391\) −9.18729e10 + 4.02521e11i −0.198789 + 0.870951i
\(392\) −2.33257e10 1.59032e10i −0.0498938 0.0340170i
\(393\) 2.09805e11 + 3.63394e11i 0.443660 + 0.768441i
\(394\) 4.40536e10 7.63030e10i 0.0920976 0.159518i
\(395\) 3.94411e10 1.89939e10i 0.0815197 0.0392578i
\(396\) −5.48283e11 1.69123e11i −1.12041 0.345600i
\(397\) −5.28318e10 7.04991e11i −0.106743 1.42438i −0.751368 0.659883i \(-0.770606\pi\)
0.644625 0.764499i \(-0.277013\pi\)
\(398\) −2.00156e10 8.76941e10i −0.0399848 0.175185i
\(399\) 3.33272e11 8.49162e11i 0.658295 1.67731i
\(400\) −1.65231e10 + 2.20486e11i −0.0322717 + 0.430636i
\(401\) −8.22206e11 + 1.23928e11i −1.58793 + 0.239342i −0.882804 0.469741i \(-0.844347\pi\)
−0.705125 + 0.709083i \(0.749109\pi\)
\(402\) −2.29791e11 2.13215e11i −0.438850 0.407193i
\(403\) −5.30973e7 2.55703e7i −0.000100277 4.82907e-5i
\(404\) −4.91461e11 + 3.35072e11i −0.917852 + 0.625781i
\(405\) 5.15068e10 + 1.31237e11i 0.0951299 + 0.242387i
\(406\) 4.27334e10 1.31815e10i 0.0780550 0.0240768i
\(407\) 3.16705e11 2.93859e11i 0.572111 0.530841i
\(408\) −3.06409e11 + 3.84224e11i −0.547432 + 0.686458i
\(409\) −6.28902e11 + 7.88619e11i −1.11129 + 1.39352i −0.200980 + 0.979595i \(0.564413\pi\)
−0.910313 + 0.413921i \(0.864159\pi\)
\(410\) −5.50758e10 + 5.11028e10i −0.0962572 + 0.0893136i
\(411\) −1.42486e12 + 4.39511e11i −2.46311 + 0.759770i
\(412\) 3.18904e10 + 8.12554e10i 0.0545283 + 0.138936i
\(413\) 6.21927e11 4.24023e11i 1.05187 0.717156i
\(414\) −3.29985e11 1.58912e11i −0.552068 0.265862i
\(415\) 2.23872e11 + 2.07723e11i 0.370496 + 0.343770i
\(416\) 2.41590e9 3.64139e8i 0.00395512 0.000596138i
\(417\) 8.19421e10 1.09344e12i 0.132707 1.77086i
\(418\) −1.15333e11 + 2.93864e11i −0.184783 + 0.470818i
\(419\) −8.15148e10 3.57139e11i −0.129203 0.566076i −0.997540 0.0701009i \(-0.977668\pi\)
0.868337 0.495975i \(-0.165189\pi\)
\(420\) −2.66443e10 3.55544e11i −0.0417814 0.557534i
\(421\) −6.58013e11 2.02970e11i −1.02086 0.314893i −0.261248 0.965272i \(-0.584134\pi\)
−0.759610 + 0.650379i \(0.774610\pi\)
\(422\) −3.06888e11 + 1.47789e11i −0.471057 + 0.226849i
\(423\) −5.52589e11 + 9.57112e11i −0.839209 + 1.45355i
\(424\) −1.52278e11 2.63754e11i −0.228819 0.396326i
\(425\) −3.51920e11 2.39935e11i −0.523232 0.356734i
\(426\) −1.16108e11 + 5.08703e11i −0.170813 + 0.748379i
\(427\) 5.99533e11 + 9.03651e10i 0.872746 + 0.131545i
\(428\) 2.40841e10 + 3.02005e10i 0.0346923 + 0.0435027i
\(429\) −4.78081e9 −0.00681465
\(430\) 1.21304e11 + 2.18745e10i 0.171107 + 0.0308553i
\(431\) 2.95405e11 0.412354 0.206177 0.978515i \(-0.433898\pi\)
0.206177 + 0.978515i \(0.433898\pi\)
\(432\) 1.07914e11 + 1.35320e11i 0.149074 + 0.186933i
\(433\) 2.50045e11 + 3.76882e10i 0.341840 + 0.0515240i 0.317719 0.948185i \(-0.397083\pi\)
0.0241209 + 0.999709i \(0.492321\pi\)
\(434\) −1.87320e9 + 8.20703e9i −0.00253443 + 0.0111041i
\(435\) 7.66303e10 + 5.22456e10i 0.102612 + 0.0699598i
\(436\) 6.06254e11 + 1.05006e12i 0.803462 + 1.39164i
\(437\) 5.03312e11 8.71763e11i 0.660193 1.14349i
\(438\) −4.03843e11 + 1.94480e11i −0.524299 + 0.252489i
\(439\) −6.90035e11 2.12848e11i −0.886708 0.273513i −0.182244 0.983253i \(-0.558336\pi\)
−0.704464 + 0.709740i \(0.748812\pi\)
\(440\) 2.02871e10 + 2.70712e11i 0.0258037 + 0.344327i
\(441\) −1.85176e10 8.11308e10i −0.0233137 0.102144i
\(442\) −3.84183e8 + 9.78881e8i −0.000478782 + 0.00121992i
\(443\) −3.79899e10 + 5.06941e11i −0.0468653 + 0.625375i 0.923479 + 0.383649i \(0.125333\pi\)
−0.970345 + 0.241726i \(0.922286\pi\)
\(444\) −7.36970e11 + 1.11080e11i −0.899967 + 0.135648i
\(445\) −3.06129e11 2.84046e11i −0.370071 0.343375i
\(446\) 2.00775e11 + 9.66881e10i 0.240272 + 0.115709i
\(447\) 3.04955e11 2.07915e11i 0.361286 0.246321i
\(448\) 4.32911e10 + 1.10304e11i 0.0507747 + 0.129372i
\(449\) 1.25417e12 3.86861e11i 1.45629 0.449207i 0.537270 0.843410i \(-0.319456\pi\)
0.919023 + 0.394204i \(0.128980\pi\)
\(450\) 2.76976e11 2.56996e11i 0.318409 0.295440i
\(451\) −4.48194e11 + 5.62017e11i −0.510119 + 0.639669i
\(452\) −3.27125e11 + 4.10201e11i −0.368630 + 0.462247i
\(453\) −8.61936e11 + 7.99759e11i −0.961685 + 0.892313i
\(454\) 2.08197e11 6.42204e10i 0.229998 0.0709450i
\(455\) −6.13245e8 1.56252e9i −0.000670785 0.00170913i
\(456\) 9.89984e11 6.74960e11i 1.07223 0.731031i
\(457\) 1.43685e11 + 6.91948e10i 0.154095 + 0.0742080i 0.509342 0.860564i \(-0.329889\pi\)
−0.355247 + 0.934772i \(0.615603\pi\)
\(458\) 1.63815e11 + 1.51998e11i 0.173964 + 0.161415i
\(459\) −3.29696e11 + 4.96937e10i −0.346702 + 0.0522569i
\(460\) 2.94017e10 3.92338e11i 0.0306170 0.408555i
\(461\) −1.12664e11 + 2.87063e11i −0.116180 + 0.296021i −0.977121 0.212683i \(-0.931780\pi\)
0.860942 + 0.508704i \(0.169875\pi\)
\(462\) 1.51958e11 + 6.65770e11i 0.155179 + 0.679884i
\(463\) −9.39930e10 1.25425e12i −0.0950564 1.26844i −0.817061 0.576551i \(-0.804398\pi\)
0.722005 0.691888i \(-0.243221\pi\)
\(464\) −9.68200e10 2.98650e10i −0.0969693 0.0299111i
\(465\) −1.57295e10 + 7.57491e9i −0.0156018 + 0.00751345i
\(466\) 3.06021e11 5.30045e11i 0.300618 0.520686i
\(467\) 4.11309e11 + 7.12408e11i 0.400168 + 0.693111i 0.993746 0.111665i \(-0.0356184\pi\)
−0.593578 + 0.804777i \(0.702285\pi\)
\(468\) 3.85018e9 + 2.62501e9i 0.00371001 + 0.00252944i
\(469\) 2.34323e11 1.02664e12i 0.223633 0.979802i
\(470\) 2.35005e11 + 3.54214e10i 0.222145 + 0.0334830i
\(471\) −9.06584e11 1.13682e12i −0.848817 1.06438i
\(472\) 9.88681e11 0.916890
\(473\) 1.17884e12 + 3.39722e10i 1.08288 + 0.0312068i
\(474\) 1.44640e11 0.131609
\(475\) 6.47469e11 + 8.11901e11i 0.583577 + 0.731782i
\(476\) −7.41959e11 1.11832e11i −0.662443 0.0998472i
\(477\) 1.99767e11 8.75237e11i 0.176682 0.774092i
\(478\) −5.77306e11 3.93601e11i −0.505802 0.344850i
\(479\) 9.38665e11 + 1.62582e12i 0.814706 + 1.41111i 0.909539 + 0.415619i \(0.136435\pi\)
−0.0948331 + 0.995493i \(0.530232\pi\)
\(480\) 3.61884e11 6.26801e11i 0.311160 0.538944i
\(481\) −3.16129e9 + 1.52240e9i −0.00269285 + 0.00129681i
\(482\) 5.47992e10 + 1.69033e10i 0.0462448 + 0.0142646i
\(483\) −1.62727e11 2.17144e12i −0.136049 1.81545i
\(484\) 3.88573e10 + 1.70245e11i 0.0321861 + 0.141017i
\(485\) 3.95086e10 1.00666e11i 0.0324231 0.0826126i
\(486\) −5.18265e10 + 6.91576e11i −0.0421394 + 0.562311i
\(487\) −2.18809e12 + 3.29801e11i −1.76272 + 0.265688i −0.948934 0.315473i \(-0.897837\pi\)
−0.813789 + 0.581161i \(0.802599\pi\)
\(488\) 5.83779e11 + 5.41668e11i 0.465972 + 0.432359i
\(489\) 2.43527e12 + 1.17276e12i 1.92600 + 0.927514i
\(490\) −1.47857e10 + 1.00807e10i −0.0115867 + 0.00789969i
\(491\) −7.62680e11 1.94328e12i −0.592210 1.50893i −0.841368 0.540463i \(-0.818249\pi\)
0.249158 0.968463i \(-0.419846\pi\)
\(492\) 1.18497e12 3.65515e11i 0.911727 0.281231i
\(493\) 1.43080e11 1.32759e11i 0.109086 0.101217i
\(494\) 1.59853e9 2.00449e9i 0.00120767 0.00151437i
\(495\) −4.98928e11 + 6.25636e11i −0.373521 + 0.468380i
\(496\) 1.39812e10 1.29727e10i 0.0103724 0.00962415i
\(497\) −1.67495e12 + 5.16653e11i −1.23140 + 0.379835i
\(498\) 3.68650e11 + 9.39304e11i 0.268585 + 0.684343i
\(499\) −1.53714e12 + 1.04801e12i −1.10984 + 0.756679i −0.972281 0.233814i \(-0.924879\pi\)
−0.137563 + 0.990493i \(0.543927\pi\)
\(500\) 8.12320e11 + 3.91193e11i 0.581249 + 0.279915i
\(501\) 2.07556e12 + 1.92584e12i 1.47186 + 1.36569i
\(502\) −8.44099e9 + 1.27228e9i −0.00593235 + 0.000894158i
\(503\) 1.58555e11 2.11578e12i 0.110440 1.47372i −0.616685 0.787210i \(-0.711525\pi\)
0.727125 0.686505i \(-0.240856\pi\)
\(504\) 5.35037e11 1.36325e12i 0.369357 0.941106i
\(505\) 1.84596e11 + 8.08767e11i 0.126302 + 0.553366i
\(506\) 5.63138e10 + 7.51455e11i 0.0381889 + 0.509596i
\(507\) −2.15556e12 6.64901e11i −1.44885 0.446911i
\(508\) −1.80232e12 + 8.67950e11i −1.20073 + 0.578240i
\(509\) 1.13287e12 1.96219e12i 0.748083 1.29572i −0.200657 0.979662i \(-0.564308\pi\)
0.948740 0.316057i \(-0.102359\pi\)
\(510\) 1.55758e11 + 2.69781e11i 0.101949 + 0.176581i
\(511\) −1.24409e12 8.48209e11i −0.807160 0.550312i
\(512\) −3.12578e11 + 1.36950e12i −0.201022 + 0.880736i
\(513\) 8.03830e11 + 1.21158e11i 0.512432 + 0.0772367i
\(514\) −2.02622e9 2.54080e9i −0.00128042 0.00160560i
\(515\) 1.21739e11 0.0762599
\(516\) −1.64721e12 1.19398e12i −1.02288 0.741436i
\(517\) 2.27387e12 1.39978
\(518\) 3.12489e11 + 3.91848e11i 0.190700 + 0.239130i
\(519\) −2.10620e12 3.17459e11i −1.27423 0.192059i
\(520\) 4.90602e8 2.14947e9i 0.000294249 0.00128919i
\(521\) 1.61879e12 + 1.10367e12i 0.962544 + 0.656252i 0.939162 0.343475i \(-0.111604\pi\)
0.0233824 + 0.999727i \(0.492556\pi\)
\(522\) 8.65728e10 + 1.49949e11i 0.0510345 + 0.0883944i
\(523\) 1.04292e12 1.80639e12i 0.609528 1.05573i −0.381791 0.924249i \(-0.624693\pi\)
0.991318 0.131484i \(-0.0419742\pi\)
\(524\) −7.58168e11 + 3.65114e11i −0.439313 + 0.211562i
\(525\) 2.14659e12 + 6.62136e11i 1.23320 + 0.380391i
\(526\) −2.04097e10 2.72348e11i −0.0116252 0.155127i
\(527\) 8.17568e9 + 3.58200e10i 0.00461717 + 0.0202291i
\(528\) 5.65259e11 1.44026e12i 0.316515 0.806468i
\(529\) 4.49666e10 6.00038e11i 0.0249655 0.333141i
\(530\) −1.90897e11 + 2.87731e10i −0.105089 + 0.0158396i
\(531\) 2.13637e12 + 1.98226e12i 1.16614 + 1.08202i
\(532\) 1.64823e12 + 7.93747e11i 0.892106 + 0.429615i
\(533\) 4.82366e9 3.28871e9i 0.00258883 0.00176504i
\(534\) −5.04102e11 1.28443e12i −0.268277 0.683558i
\(535\) 5.14792e10 1.58792e10i 0.0271669 0.00837988i
\(536\) 1.01391e12 9.40774e11i 0.530590 0.492316i
\(537\) −4.58190e11 + 5.74552e11i −0.237772 + 0.298157i
\(538\) −2.45873e10 + 3.08316e10i −0.0126529 + 0.0158663i
\(539\) −1.25511e11 + 1.16457e11i −0.0640520 + 0.0594316i
\(540\) 3.03610e11 9.36511e10i 0.153654 0.0473959i
\(541\) −1.23180e11 3.13856e11i −0.0618231 0.157523i 0.896624 0.442792i \(-0.146012\pi\)
−0.958447 + 0.285270i \(0.907917\pi\)
\(542\) −5.46052e11 + 3.72292e11i −0.271792 + 0.185305i
\(543\) −4.39692e12 2.11745e12i −2.17045 1.04523i
\(544\) −1.11656e12 1.03602e12i −0.546622 0.507191i
\(545\) 1.67215e12 2.52035e11i 0.811877 0.122371i
\(546\) 4.14459e8 5.53057e9i 0.000199579 0.00266319i
\(547\) −1.51746e12 + 3.86642e12i −0.724725 + 1.84657i −0.243744 + 0.969840i \(0.578376\pi\)
−0.480982 + 0.876731i \(0.659720\pi\)
\(548\) −6.65409e11 2.91535e12i −0.315193 1.38095i
\(549\) 1.75426e11 + 2.34090e12i 0.0824174 + 1.09978i
\(550\) −7.42857e11 2.29141e11i −0.346157 0.106775i
\(551\) −4.28750e11 + 2.06475e11i −0.198163 + 0.0954302i
\(552\) 1.43007e12 2.47695e12i 0.655587 1.13551i
\(553\) 2.42943e11 + 4.20790e11i 0.110469 + 0.191339i
\(554\) −1.02537e12 6.99089e11i −0.462475 0.315310i
\(555\) −2.31295e11 + 1.01337e12i −0.103478 + 0.453367i
\(556\) 2.17442e12 + 3.27741e11i 0.964953 + 0.145443i
\(557\) 3.09290e11 + 3.87837e11i 0.136150 + 0.170726i 0.845232 0.534399i \(-0.179462\pi\)
−0.709082 + 0.705126i \(0.750891\pi\)
\(558\) −3.25927e10 −0.0142320
\(559\) −9.06724e9 3.08560e9i −0.00392755 0.00133656i
\(560\) 5.43230e11 0.233420
\(561\) 1.85832e12 + 2.33026e12i 0.792113 + 0.993279i
\(562\) −9.25770e11 1.39537e11i −0.391462 0.0590034i
\(563\) −5.38671e11 + 2.36007e12i −0.225962 + 0.990006i 0.726934 + 0.686708i \(0.240945\pi\)
−0.952896 + 0.303298i \(0.901912\pi\)
\(564\) −3.24101e12 2.20968e12i −1.34873 0.919546i
\(565\) 3.65866e11 + 6.33698e11i 0.151044 + 0.261616i
\(566\) −2.70608e11 + 4.68707e11i −0.110832 + 0.191968i
\(567\) −1.40985e12 + 6.78946e11i −0.572859 + 0.275874i
\(568\) −2.20001e12 6.78612e11i −0.886863 0.273561i
\(569\) −1.67546e11 2.23574e12i −0.0670082 0.894162i −0.924870 0.380282i \(-0.875827\pi\)
0.857862 0.513880i \(-0.171792\pi\)
\(570\) −1.69006e11 7.40464e11i −0.0670603 0.293810i
\(571\) 7.52679e11 1.91779e12i 0.296311 0.754987i −0.702741 0.711446i \(-0.748041\pi\)
0.999052 0.0435415i \(-0.0138641\pi\)
\(572\) 7.16482e8 9.56079e9i 0.000279849 0.00373432i
\(573\) 2.86025e11 4.31114e10i 0.110843 0.0167069i
\(574\) −6.11302e11 5.67206e11i −0.235046 0.218091i
\(575\) 2.23338e12 + 1.07554e12i 0.852035 + 0.410319i
\(576\) −3.79064e11 + 2.58442e11i −0.143487 + 0.0978276i
\(577\) 2.94726e11 + 7.50949e11i 0.110695 + 0.282045i 0.975477 0.220102i \(-0.0706389\pi\)
−0.864782 + 0.502147i \(0.832544\pi\)
\(578\) −4.20744e11 + 1.29782e11i −0.156799 + 0.0483660i
\(579\) −4.55807e12 + 4.22927e12i −1.68549 + 1.56391i
\(580\) −1.15967e11 + 1.45418e11i −0.0425507 + 0.0533569i
\(581\) −2.11344e12 + 2.65017e12i −0.769480 + 0.964898i
\(582\) 2.61926e11 2.43032e11i 0.0946291 0.0878030i
\(583\) −1.76503e12 + 5.44439e11i −0.632766 + 0.195182i
\(584\) −7.22552e11 1.84103e12i −0.257046 0.654943i
\(585\) 5.36969e9 3.66099e9i 0.00189560 0.00129240i
\(586\) −1.58359e12 7.62617e11i −0.554758 0.267157i
\(587\) 2.11414e12 + 1.96163e12i 0.734957 + 0.681941i 0.956014 0.293320i \(-0.0947602\pi\)
−0.221057 + 0.975261i \(0.570951\pi\)
\(588\) 2.92064e11 4.40215e10i 0.100758 0.0151868i
\(589\) 6.69421e9 8.93280e10i 0.00229182 0.0305822i
\(590\) 2.28962e11 5.83386e11i 0.0777910 0.198208i
\(591\) 4.51303e11 + 1.97729e12i 0.152168 + 0.666693i
\(592\) −8.48590e10 1.13236e12i −0.0283955 0.378912i
\(593\) −2.29296e12 7.07285e11i −0.761467 0.234881i −0.110385 0.993889i \(-0.535208\pi\)
−0.651082 + 0.759008i \(0.725685\pi\)
\(594\) −5.48282e11 + 2.64039e11i −0.180703 + 0.0870218i
\(595\) −5.23234e11 + 9.06267e11i −0.171147 + 0.296435i
\(596\) 3.70091e11 + 6.41016e11i 0.120144 + 0.208095i
\(597\) 1.71076e12 + 1.16638e12i 0.551195 + 0.375798i
\(598\) 1.36183e9 5.96659e9i 0.000435481 0.00190797i
\(599\) −3.27113e12 4.93043e11i −1.03819 0.156482i −0.392241 0.919863i \(-0.628300\pi\)
−0.645949 + 0.763381i \(0.723538\pi\)
\(600\) 1.83966e12 + 2.30686e12i 0.579505 + 0.726676i
\(601\) −1.55796e12 −0.487103 −0.243551 0.969888i \(-0.578312\pi\)
−0.243551 + 0.969888i \(0.578312\pi\)
\(602\) −1.41496e11 + 1.36077e12i −0.0439097 + 0.422280i
\(603\) 4.07710e12 1.25581
\(604\) −1.47021e12 1.84358e12i −0.449482 0.563632i
\(605\) 2.40820e11 + 3.62977e10i 0.0730790 + 0.0110149i
\(606\) −6.09918e11 + 2.67223e12i −0.183715 + 0.804909i
\(607\) −4.77598e12 3.25621e12i −1.42795 0.973561i −0.997479 0.0709573i \(-0.977395\pi\)
−0.430472 0.902604i \(-0.641653\pi\)
\(608\) 1.85681e12 + 3.21610e12i 0.551064 + 0.954472i
\(609\) −5.14707e11 + 8.91499e11i −0.151629 + 0.262629i
\(610\) 4.54813e11 2.19026e11i 0.132999 0.0640489i
\(611\) −1.76467e10 5.44330e9i −0.00512247 0.00158007i
\(612\) −2.17100e11 2.89700e12i −0.0625575 0.834772i
\(613\) 4.89464e11 + 2.14448e12i 0.140007 + 0.613410i 0.995431 + 0.0954819i \(0.0304392\pi\)
−0.855424 + 0.517928i \(0.826704\pi\)
\(614\) 5.99521e11 1.52755e12i 0.170234 0.433749i
\(615\) 1.29243e11 1.72463e12i 0.0364309 0.486136i
\(616\) −2.97949e12 + 4.49085e11i −0.833735 + 0.125665i
\(617\) 3.45348e12 + 3.20436e12i 0.959343 + 0.890140i 0.994013 0.109259i \(-0.0348477\pi\)
−0.0346706 + 0.999399i \(0.511038\pi\)
\(618\) 3.62401e11 + 1.74523e11i 0.0999403 + 0.0481287i
\(619\) −2.57841e12 + 1.75793e12i −0.705901 + 0.481275i −0.862286 0.506421i \(-0.830968\pi\)
0.156385 + 0.987696i \(0.450016\pi\)
\(620\) −1.27912e10 3.25915e10i −0.00347655 0.00885811i
\(621\) 1.85426e12 5.71962e11i 0.500331 0.154332i
\(622\) 1.03854e12 9.63625e11i 0.278206 0.258138i
\(623\) 2.88998e12 3.62392e12i 0.768597 0.963790i
\(624\) −7.83452e9 + 9.82418e9i −0.00206863 + 0.00259397i
\(625\) −1.36780e12 + 1.26913e12i −0.358560 + 0.332695i
\(626\) 2.79669e12 8.62663e11i 0.727879 0.224521i
\(627\) −2.65485e12 6.76445e12i −0.686019 1.74795i
\(628\) 2.40931e12 1.64264e12i 0.618123 0.421429i
\(629\) 1.97085e12 + 9.49113e11i 0.502026 + 0.241763i
\(630\) −6.80500e11 6.31412e11i −0.172106 0.159691i
\(631\) 7.67857e12 1.15736e12i 1.92818 0.290627i 0.930961 0.365118i \(-0.118971\pi\)
0.997222 + 0.0744912i \(0.0237333\pi\)
\(632\) −4.76929e10 + 6.36417e11i −0.0118912 + 0.158677i
\(633\) 2.86454e12 7.29872e12i 0.709149 1.80688i
\(634\) −5.48396e11 2.40268e12i −0.134801 0.590601i
\(635\) 2.08490e11 + 2.78210e12i 0.0508865 + 0.679034i
\(636\) 3.04480e12 + 9.39197e11i 0.737908 + 0.227614i
\(637\) 1.25283e9 6.03331e8i 0.000301484 0.000145187i
\(638\) 1.78121e11 3.08515e11i 0.0425621 0.0737197i
\(639\) −3.39324e12 5.87727e12i −0.805121 1.39451i
\(640\) 1.52085e12 + 1.03690e12i 0.358324 + 0.244301i
\(641\) 5.18640e11 2.27231e12i 0.121340 0.531626i −0.877321 0.479904i \(-0.840672\pi\)
0.998661 0.0517228i \(-0.0164712\pi\)
\(642\) 1.76011e11 + 2.65294e10i 0.0408915 + 0.00616340i
\(643\) 1.19326e12 + 1.49630e12i 0.275287 + 0.345199i 0.900185 0.435507i \(-0.143431\pi\)
−0.624898 + 0.780706i \(0.714860\pi\)
\(644\) 4.36689e12 1.00043
\(645\) −2.38938e12 + 1.53013e12i −0.543585 + 0.348105i
\(646\) −1.59838e12 −0.361105
\(647\) 1.20184e12 + 1.50706e12i 0.269636 + 0.338113i 0.898153 0.439683i \(-0.144909\pi\)
−0.628517 + 0.777796i \(0.716338\pi\)
\(648\) −2.03239e12 3.06333e11i −0.452813 0.0682506i
\(649\) 1.33428e12 5.84586e12i 0.295220 1.29344i
\(650\) 5.21653e9 + 3.55657e9i 0.00114623 + 0.000781485i
\(651\) −9.68879e10 1.67815e11i −0.0211424 0.0366198i
\(652\) −2.71029e12 + 4.69436e12i −0.587356 + 1.01733i
\(653\) 4.24579e12 2.04466e12i 0.913796 0.440061i 0.0829438 0.996554i \(-0.473568\pi\)
0.830852 + 0.556493i \(0.187854\pi\)
\(654\) 5.33908e12 + 1.64689e12i 1.14121 + 0.352017i
\(655\) 8.77039e10 + 1.17033e12i 0.0186180 + 0.248440i
\(656\) 4.20426e11 + 1.84201e12i 0.0886385 + 0.388350i
\(657\) 2.12987e12 5.42683e12i 0.445974 1.13632i
\(658\) −1.97127e11 + 2.63048e12i −0.0409949 + 0.547039i
\(659\) 3.61240e11 5.44482e10i 0.0746126 0.0112460i −0.111630 0.993750i \(-0.535607\pi\)
0.186242 + 0.982504i \(0.440369\pi\)
\(660\) −2.08202e12 1.93184e12i −0.427108 0.396299i
\(661\) 2.14581e12 + 1.03337e12i 0.437205 + 0.210547i 0.639521 0.768773i \(-0.279133\pi\)
−0.202316 + 0.979320i \(0.564847\pi\)
\(662\) 1.70143e12 1.16001e12i 0.344312 0.234748i
\(663\) −8.84349e9 2.25328e10i −0.00177751 0.00452903i
\(664\) −4.25449e12 + 1.31234e12i −0.849358 + 0.261992i
\(665\) 1.87030e12 1.73539e12i 0.370863 0.344111i
\(666\) −1.20988e12 + 1.51714e12i −0.238291 + 0.298808i
\(667\) −7.08251e11 + 8.88119e11i −0.138555 + 0.173742i
\(668\) −4.16241e12 + 3.86215e12i −0.808818 + 0.750473i
\(669\) −4.90173e12 + 1.51198e12i −0.946089 + 0.291830i
\(670\) −3.20312e11 8.16142e11i −0.0614097 0.156469i
\(671\) 3.99061e12 2.72075e12i 0.759954 0.518128i
\(672\) 7.23776e12 + 3.48552e12i 1.36912 + 0.659335i
\(673\) 6.82405e12 + 6.33180e12i 1.28226 + 1.18976i 0.970905 + 0.239465i \(0.0769719\pi\)
0.311351 + 0.950295i \(0.399219\pi\)
\(674\) 2.63677e12 3.97429e11i 0.492156 0.0741806i
\(675\) −1.49597e11 + 1.99624e12i −0.0277368 + 0.370122i
\(676\) 1.65273e12 4.21110e12i 0.304399 0.775595i
\(677\) −1.01973e12 4.46775e12i −0.186568 0.817409i −0.978408 0.206681i \(-0.933734\pi\)
0.791840 0.610728i \(-0.209123\pi\)
\(678\) 1.80675e11 + 2.41094e12i 0.0328370 + 0.438180i
\(679\) 1.14697e12 + 3.53794e11i 0.207080 + 0.0638758i
\(680\) −1.23839e12 + 5.96378e11i −0.222110 + 0.106963i
\(681\) −2.50765e12 + 4.34339e12i −0.446792 + 0.773867i
\(682\) 3.35294e10 + 5.80746e10i 0.00593466 + 0.0102791i
\(683\) −2.56337e12 1.74768e12i −0.450732 0.307304i 0.316594 0.948561i \(-0.397461\pi\)
−0.767326 + 0.641257i \(0.778413\pi\)
\(684\) −1.57611e12 + 6.90540e12i −0.275318 + 1.20625i
\(685\) −4.12389e12 6.21577e11i −0.715649 0.107867i
\(686\) 1.41157e12 + 1.77005e12i 0.243356 + 0.305159i
\(687\) −5.14404e12 −0.881047
\(688\) 2.00163e12 2.36675e12i 0.340593 0.402721i
\(689\) 1.50011e10 0.00253592
\(690\) −1.13038e12 1.41745e12i −0.189847 0.238060i
\(691\) 5.09607e12 + 7.68109e11i 0.850324 + 0.128166i 0.559724 0.828679i \(-0.310907\pi\)
0.290600 + 0.956845i \(0.406145\pi\)
\(692\) 9.50514e11 4.16447e12i 0.157573 0.690371i
\(693\) −7.33854e12 5.00333e12i −1.20868 0.824062i
\(694\) −2.03789e12 3.52972e12i −0.333474 0.577594i
\(695\) 1.53341e12 2.65595e12i 0.249303 0.431805i
\(696\) −1.21821e12 + 5.86660e11i −0.196780 + 0.0947643i
\(697\) −3.47796e12 1.07281e12i −0.558184 0.172177i
\(698\) 3.41953e10 + 4.56305e11i 0.00545277 + 0.0727622i
\(699\) 3.13501e12 + 1.37354e13i 0.496697 + 2.17617i
\(700\) −1.64586e12 + 4.19358e12i −0.259091 + 0.660152i
\(701\) 4.04057e11 5.39177e12i 0.0631993 0.843335i −0.872066 0.489388i \(-0.837220\pi\)
0.935265 0.353947i \(-0.115161\pi\)
\(702\) 4.88709e9 7.36610e8i 0.000759510 0.000114478i
\(703\) −3.90958e12 3.62756e12i −0.603714 0.560165i
\(704\) 8.50456e11 + 4.09558e11i 0.130489 + 0.0628403i
\(705\) −4.52010e12 + 3.08175e12i −0.689123 + 0.469836i
\(706\) −5.79493e11 1.47653e12i −0.0877864 0.223676i
\(707\) −8.79853e12 + 2.71399e12i −1.32441 + 0.408527i
\(708\) −7.58260e12 + 7.03562e12i −1.13414 + 1.05233i
\(709\) −6.44155e12 + 8.07745e12i −0.957376 + 1.20051i 0.0222644 + 0.999752i \(0.492912\pi\)
−0.979641 + 0.200760i \(0.935659\pi\)
\(710\) −9.09910e11 + 1.14099e12i −0.134380 + 0.168508i
\(711\) −1.37904e12 + 1.27956e12i −0.202378 + 0.187780i
\(712\) 5.81771e12 1.79452e12i 0.848383 0.261691i
\(713\) −7.81206e10 1.99048e11i −0.0113204 0.0288440i
\(714\) −2.85681e12 + 1.94774e12i −0.411376 + 0.280472i
\(715\) −1.20472e10 5.80164e9i −0.00172389 0.000830183i
\(716\) −1.08034e12 1.00241e12i −0.153621 0.142540i
\(717\) 1.59041e13 2.39716e12i 2.24736 0.338735i
\(718\) −4.73231e10 + 6.31483e11i −0.00664527 + 0.0886750i
\(719\) 1.88739e12 4.80898e12i 0.263379 0.671078i −0.736607 0.676321i \(-0.763573\pi\)
0.999986 + 0.00524219i \(0.00166865\pi\)
\(720\) 4.68017e11 + 2.05052e12i 0.0649031 + 0.284359i
\(721\) 1.00976e11 + 1.34744e12i 0.0139159 + 0.185695i
\(722\) 8.74344e11 + 2.69699e11i 0.119747 + 0.0369371i
\(723\) −1.18934e12 + 5.72756e11i −0.161877 + 0.0779557i
\(724\) 4.89348e12 8.47576e12i 0.661903 1.14645i
\(725\) −5.85936e11 1.01487e12i −0.0787643 0.136424i
\(726\) 6.64853e11 + 4.53289e11i 0.0888200 + 0.0605564i
\(727\) 1.24247e12 5.44360e12i 0.164960 0.722739i −0.823001 0.568040i \(-0.807702\pi\)
0.987962 0.154699i \(-0.0494409\pi\)
\(728\) 2.41978e10 + 3.64723e9i 0.00319290 + 0.000481252i
\(729\) −7.04539e12 8.83463e12i −0.923913 1.15855i
\(730\) −1.25366e12 −0.163390
\(731\) 2.02049e12 + 5.61894e12i 0.261715 + 0.727823i
\(732\) −8.33184e12 −1.07261
\(733\) 1.44650e12 + 1.81385e12i 0.185076 + 0.232078i 0.865710 0.500545i \(-0.166867\pi\)
−0.680634 + 0.732623i \(0.738296\pi\)
\(734\) 2.49270e10 + 3.75714e9i 0.00316984 + 0.000477777i
\(735\) 9.16630e10 4.01602e11i 0.0115851 0.0507578i
\(736\) 7.32432e12 + 4.99364e12i 0.920062 + 0.627288i
\(737\) −4.19426e12 7.26467e12i −0.523663 0.907011i
\(738\) 1.61435e12 2.79614e12i 0.200330 0.346981i
\(739\) 7.95193e12 3.82945e12i 0.980782 0.472320i 0.126408 0.991978i \(-0.459655\pi\)
0.854374 + 0.519659i \(0.173941\pi\)
\(740\) −1.99190e12 6.14421e11i −0.244189 0.0753223i
\(741\) 4.41034e9 + 5.88519e10i 0.000537390 + 0.00717098i
\(742\) −4.76808e11 2.08903e12i −0.0577465 0.253004i
\(743\) 9.76347e11 2.48769e12i 0.117532 0.299466i −0.859987 0.510317i \(-0.829528\pi\)
0.977518 + 0.210851i \(0.0676235\pi\)
\(744\) 1.90203e10 2.53808e11i 0.00227583 0.0303688i
\(745\) 1.02077e12 1.53856e11i 0.121402 0.0182984i
\(746\) 4.49206e12 + 4.16802e12i 0.531032 + 0.492725i
\(747\) −1.18244e13 5.69432e12i −1.38943 0.669112i
\(748\) −4.93862e12 + 3.36709e12i −0.576830 + 0.393276i
\(749\) 2.18455e11 + 5.56614e11i 0.0253626 + 0.0646229i