Properties

Label 43.8.g.a.9.17
Level 43
Weight 8
Character 43.9
Analytic conductor 13.433
Analytic rank 0
Dimension 300
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.4325560958\)
Analytic rank: \(0\)
Dimension: \(300\)
Relative dimension: \(25\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.17
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.17

$q$-expansion

\(f(q)\) \(=\) \(q+(5.94589 + 7.45591i) q^{2} +(86.0795 + 12.9744i) q^{3} +(8.24571 - 36.1268i) q^{4} +(-256.150 - 174.640i) q^{5} +(415.083 + 718.945i) q^{6} +(380.244 - 658.602i) q^{7} +(1418.17 - 682.954i) q^{8} +(5151.52 + 1589.03i) q^{9} +O(q^{10})\) \(q+(5.94589 + 7.45591i) q^{2} +(86.0795 + 12.9744i) q^{3} +(8.24571 - 36.1268i) q^{4} +(-256.150 - 174.640i) q^{5} +(415.083 + 718.945i) q^{6} +(380.244 - 658.602i) q^{7} +(1418.17 - 682.954i) q^{8} +(5151.52 + 1589.03i) q^{9} +(-220.939 - 2948.23i) q^{10} +(1257.82 + 5510.88i) q^{11} +(1178.51 - 3002.80i) q^{12} +(551.467 - 7358.81i) q^{13} +(7171.36 - 1080.91i) q^{14} +(-19783.5 - 18356.4i) q^{15} +(9250.88 + 4454.99i) q^{16} +(-29858.1 + 20356.9i) q^{17} +(18782.7 + 47857.4i) q^{18} +(35496.0 - 10949.1i) q^{19} +(-8421.35 + 7813.87i) q^{20} +(41276.2 - 51758.7i) q^{21} +(-33609.7 + 42145.3i) q^{22} +(-41179.0 + 38208.5i) q^{23} +(130936. - 40388.5i) q^{24} +(6571.51 + 16743.9i) q^{25} +(58145.6 - 39643.0i) q^{26} +(251295. + 121017. i) q^{27} +(-20657.8 - 19167.6i) q^{28} +(-95217.0 + 14351.7i) q^{29} +(19233.1 - 256648. i) q^{30} +(-60890.0 + 155145. i) q^{31} +(-23044.4 - 100964. i) q^{32} +(36772.4 + 490694. i) q^{33} +(-329312. - 101579. i) q^{34} +(-212418. + 102295. i) q^{35} +(99884.6 - 173005. i) q^{36} +(-149122. - 258286. i) q^{37} +(292690. + 199553. i) q^{38} +(142946. - 626288. i) q^{39} +(-482536. - 72730.6i) q^{40} +(43417.1 + 54443.3i) q^{41} +631331. q^{42} +(159770. + 496278. i) q^{43} +209462. q^{44} +(-1.04205e6 - 1.30669e6i) q^{45} +(-529725. - 79843.2i) q^{46} +(33686.8 - 147592. i) q^{47} +(738511. + 503508. i) q^{48} +(122601. + 212351. i) q^{49} +(-85767.8 + 148554. i) q^{50} +(-2.83429e6 + 1.36492e6i) q^{51} +(-261303. - 80601.4i) q^{52} +(11384.2 + 151911. i) q^{53} +(591877. + 2.59318e6i) q^{54} +(640231. - 1.63128e6i) q^{55} +(89455.3 - 1.19370e6i) q^{56} +(3.19754e6 - 481951. i) q^{57} +(-673154. - 624596. i) q^{58} +(-2.46333e6 - 1.18628e6i) q^{59} +(-826286. + 563352. i) q^{60} +(317103. + 807965. i) q^{61} +(-1.51879e6 + 468486. i) q^{62} +(3.00537e6 - 2.78858e6i) q^{63} +(1.43519e6 - 1.79967e6i) q^{64} +(-1.42640e6 + 1.78865e6i) q^{65} +(-3.43992e6 + 3.19178e6i) q^{66} +(-116360. + 35892.4i) q^{67} +(489229. + 1.24653e6i) q^{68} +(-4.04040e6 + 2.75470e6i) q^{69} +(-2.02572e6 - 975534. i) q^{70} +(-333795. - 309717. i) q^{71} +(8.39096e6 - 1.26473e6i) q^{72} +(-31636.1 + 422154. i) q^{73} +(1.03910e6 - 2.64758e6i) q^{74} +(348430. + 1.52657e6i) q^{75} +(-102865. - 1.37264e6i) q^{76} +(4.10775e6 + 1.26707e6i) q^{77} +(5.51949e6 - 2.65805e6i) q^{78} +(2.06636e6 - 3.57905e6i) q^{79} +(-1.59160e6 - 2.75673e6i) q^{80} +(1.03197e7 + 7.03587e6i) q^{81} +(-147771. + 647427. i) q^{82} +(-3.82593e6 - 576666. i) q^{83} +(-1.52953e6 - 1.91796e6i) q^{84} +1.12033e7 q^{85} +(-2.75023e6 + 4.14205e6i) q^{86} -8.38244e6 q^{87} +(5.54748e6 + 6.95633e6i) q^{88} +(9.71511e6 + 1.46432e6i) q^{89} +(3.54665e6 - 1.55389e7i) q^{90} +(-4.63683e6 - 3.16134e6i) q^{91} +(1.04080e6 + 1.80272e6i) q^{92} +(-7.25430e6 + 1.25648e7i) q^{93} +(1.30073e6 - 626397. i) q^{94} +(-1.10045e7 - 3.39443e6i) q^{95} +(-673703. - 8.98994e6i) q^{96} +(477810. + 2.09342e6i) q^{97} +(-854297. + 2.17671e6i) q^{98} +(-2.27727e6 + 3.03881e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} + O(q^{10}) \) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} - 1681q^{10} + 4580q^{11} + 9330q^{12} - 20444q^{13} - 45798q^{14} + 50477q^{15} - 74504q^{16} - 25312q^{17} + 2046q^{18} + 4046q^{19} + 140781q^{20} + 100555q^{21} + 95810q^{22} + 1648q^{23} - 292592q^{24} + 419068q^{25} + 393435q^{26} + 274140q^{27} + 233644q^{28} + 605697q^{29} - 1216016q^{30} + 358580q^{31} - 19194q^{32} + 1280291q^{33} + 1137255q^{34} + 652739q^{35} - 8980975q^{36} - 2360047q^{37} - 308490q^{38} + 536339q^{39} + 3057993q^{40} - 1376320q^{41} + 8417790q^{42} + 7173000q^{43} - 3856780q^{44} + 2761486q^{45} - 7073993q^{46} + 1437090q^{47} - 9543469q^{48} - 16053170q^{49} - 3046893q^{50} + 2972901q^{51} + 17415142q^{52} + 3320604q^{53} + 6000486q^{54} + 13427750q^{55} - 5450793q^{56} + 3333100q^{57} - 7876190q^{58} - 7084765q^{59} + 7356443q^{60} + 3354606q^{61} - 719427q^{62} + 14716815q^{63} - 16086234q^{64} - 19914646q^{65} - 8293345q^{66} + 13025470q^{67} - 22191927q^{68} - 33964295q^{69} + 8094727q^{70} + 30843495q^{71} + 93841607q^{72} - 3067637q^{73} + 18179570q^{74} - 41508571q^{75} - 19751872q^{76} - 15169179q^{77} - 69509396q^{78} - 12090149q^{79} - 69662530q^{80} + 3387954q^{81} + 39226888q^{82} + 16408777q^{83} + 98603231q^{84} - 13423424q^{85} + 111906660q^{86} + 49022010q^{87} + 76213954q^{88} - 12540205q^{89} - 92608607q^{90} - 59091937q^{91} - 50489370q^{92} - 52218334q^{93} - 3441600q^{94} - 79947551q^{95} - 23449784q^{96} - 116467587q^{97} + 73909552q^{98} - 20061115q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.94589 + 7.45591i 0.525547 + 0.659015i 0.971777 0.235903i \(-0.0758049\pi\)
−0.446229 + 0.894919i \(0.647233\pi\)
\(3\) 86.0795 + 12.9744i 1.84067 + 0.277436i 0.974840 0.222905i \(-0.0715540\pi\)
0.865828 + 0.500341i \(0.166792\pi\)
\(4\) 8.24571 36.1268i 0.0644196 0.282241i
\(5\) −256.150 174.640i −0.916432 0.624813i 0.0105397 0.999944i \(-0.496645\pi\)
−0.926971 + 0.375132i \(0.877597\pi\)
\(6\) 415.083 + 718.945i 0.784523 + 1.35883i
\(7\) 380.244 658.602i 0.419005 0.725738i −0.576835 0.816861i \(-0.695712\pi\)
0.995840 + 0.0911232i \(0.0290457\pi\)
\(8\) 1418.17 682.954i 0.979294 0.471603i
\(9\) 5151.52 + 1589.03i 2.35552 + 0.726581i
\(10\) −220.939 2948.23i −0.0698670 0.932311i
\(11\) 1257.82 + 5510.88i 0.284934 + 1.24838i 0.891381 + 0.453255i \(0.149737\pi\)
−0.606447 + 0.795124i \(0.707406\pi\)
\(12\) 1178.51 3002.80i 0.196879 0.501639i
\(13\) 551.467 7358.81i 0.0696174 0.928979i −0.847611 0.530618i \(-0.821960\pi\)
0.917229 0.398361i \(-0.130421\pi\)
\(14\) 7171.36 1080.91i 0.698479 0.105279i
\(15\) −19783.5 18356.4i −1.51350 1.40432i
\(16\) 9250.88 + 4454.99i 0.564629 + 0.271911i
\(17\) −29858.1 + 20356.9i −1.47398 + 1.00494i −0.482324 + 0.875993i \(0.660207\pi\)
−0.991651 + 0.128947i \(0.958840\pi\)
\(18\) 18782.7 + 47857.4i 0.759107 + 1.93417i
\(19\) 35496.0 10949.1i 1.18725 0.366218i 0.362644 0.931928i \(-0.381874\pi\)
0.824604 + 0.565710i \(0.191398\pi\)
\(20\) −8421.35 + 7813.87i −0.235384 + 0.218404i
\(21\) 41276.2 51758.7i 0.972595 1.21960i
\(22\) −33609.7 + 42145.3i −0.672954 + 0.843858i
\(23\) −41179.0 + 38208.5i −0.705713 + 0.654806i −0.949046 0.315137i \(-0.897950\pi\)
0.243333 + 0.969943i \(0.421759\pi\)
\(24\) 130936. 40388.5i 1.93340 0.596374i
\(25\) 6571.51 + 16743.9i 0.0841153 + 0.214322i
\(26\) 58145.6 39643.0i 0.648799 0.442343i
\(27\) 251295. + 121017.i 2.45703 + 1.18324i
\(28\) −20657.8 19167.6i −0.177841 0.165012i
\(29\) −95217.0 + 14351.7i −0.724973 + 0.109272i −0.501153 0.865359i \(-0.667091\pi\)
−0.223819 + 0.974631i \(0.571853\pi\)
\(30\) 19233.1 256648.i 0.130055 1.73546i
\(31\) −60890.0 + 155145.i −0.367096 + 0.935347i 0.621317 + 0.783560i \(0.286598\pi\)
−0.988413 + 0.151787i \(0.951497\pi\)
\(32\) −23044.4 100964.i −0.124320 0.544682i
\(33\) 36772.4 + 490694.i 0.178124 + 2.37690i
\(34\) −329312. 101579.i −1.43691 0.443229i
\(35\) −212418. + 102295.i −0.837439 + 0.403289i
\(36\) 99884.6 173005.i 0.356812 0.618017i
\(37\) −149122. 258286.i −0.483988 0.838291i 0.515843 0.856683i \(-0.327479\pi\)
−0.999831 + 0.0183918i \(0.994145\pi\)
\(38\) 292690. + 199553.i 0.865298 + 0.589950i
\(39\) 142946. 626288.i 0.385875 1.69063i
\(40\) −482536. 72730.6i −1.19212 0.179683i
\(41\) 43417.1 + 54443.3i 0.0983824 + 0.123368i 0.828586 0.559862i \(-0.189146\pi\)
−0.730203 + 0.683230i \(0.760575\pi\)
\(42\) 631331. 1.31488
\(43\) 159770. + 496278.i 0.306448 + 0.951887i
\(44\) 209462. 0.370699
\(45\) −1.04205e6 1.30669e6i −1.70469 2.13762i
\(46\) −529725. 79843.2i −0.802413 0.120944i
\(47\) 33686.8 147592.i 0.0473279 0.207357i −0.945735 0.324938i \(-0.894657\pi\)
0.993063 + 0.117580i \(0.0375138\pi\)
\(48\) 738511. + 503508.i 0.963857 + 0.657147i
\(49\) 122601. + 212351.i 0.148870 + 0.257850i
\(50\) −85767.8 + 148554.i −0.0970351 + 0.168070i
\(51\) −2.83429e6 + 1.36492e6i −2.99191 + 1.44083i
\(52\) −261303. 80601.4i −0.257711 0.0794934i
\(53\) 11384.2 + 151911.i 0.0105036 + 0.140160i 0.999990 0.00446516i \(-0.00142131\pi\)
−0.989486 + 0.144625i \(0.953802\pi\)
\(54\) 591877. + 2.59318e6i 0.511509 + 2.24107i
\(55\) 640231. 1.63128e6i 0.518880 1.32208i
\(56\) 89455.3 1.19370e6i 0.0680688 0.908315i
\(57\) 3.19754e6 481951.i 2.28693 0.344700i
\(58\) −673154. 624596.i −0.453019 0.420340i
\(59\) −2.46333e6 1.18628e6i −1.56150 0.751977i −0.564213 0.825629i \(-0.690820\pi\)
−0.997284 + 0.0736522i \(0.976535\pi\)
\(60\) −826286. + 563352.i −0.493857 + 0.336706i
\(61\) 317103. + 807965.i 0.178873 + 0.455762i 0.991987 0.126344i \(-0.0403242\pi\)
−0.813113 + 0.582106i \(0.802229\pi\)
\(62\) −1.51879e6 + 468486.i −0.809334 + 0.249647i
\(63\) 3.00537e6 2.78858e6i 1.51428 1.40505i
\(64\) 1.43519e6 1.79967e6i 0.684353 0.858151i
\(65\) −1.42640e6 + 1.78865e6i −0.644238 + 0.807848i
\(66\) −3.43992e6 + 3.19178e6i −1.47280 + 1.36656i
\(67\) −116360. + 35892.4i −0.0472654 + 0.0145794i −0.318298 0.947991i \(-0.603111\pi\)
0.271032 + 0.962570i \(0.412635\pi\)
\(68\) 489229. + 1.24653e6i 0.188682 + 0.480754i
\(69\) −4.04040e6 + 2.75470e6i −1.48065 + 1.00949i
\(70\) −2.02572e6 975534.i −0.705888 0.339938i
\(71\) −333795. 309717.i −0.110682 0.102698i 0.622891 0.782309i \(-0.285958\pi\)
−0.733573 + 0.679611i \(0.762149\pi\)
\(72\) 8.39096e6 1.26473e6i 2.64940 0.399333i
\(73\) −31636.1 + 422154.i −0.00951814 + 0.127011i −0.999939 0.0110730i \(-0.996475\pi\)
0.990421 + 0.138084i \(0.0440943\pi\)
\(74\) 1.03910e6 2.64758e6i 0.298088 0.759517i
\(75\) 348430. + 1.52657e6i 0.0953677 + 0.417833i
\(76\) −102865. 1.37264e6i −0.0268795 0.358682i
\(77\) 4.10775e6 + 1.26707e6i 1.02538 + 0.316289i
\(78\) 5.51949e6 2.65805e6i 1.31695 0.634208i
\(79\) 2.06636e6 3.57905e6i 0.471533 0.816719i −0.527937 0.849284i \(-0.677034\pi\)
0.999470 + 0.0325646i \(0.0103675\pi\)
\(80\) −1.59160e6 2.75673e6i −0.347551 0.601975i
\(81\) 1.03197e7 + 7.03587e6i 2.15760 + 1.47102i
\(82\) −147771. + 647427.i −0.0295965 + 0.129671i
\(83\) −3.82593e6 576666.i −0.734452 0.110701i −0.228843 0.973463i \(-0.573494\pi\)
−0.505609 + 0.862762i \(0.668732\pi\)
\(84\) −1.52953e6 1.91796e6i −0.281565 0.353072i
\(85\) 1.12033e7 1.97870
\(86\) −2.75023e6 + 4.14205e6i −0.466256 + 0.702215i
\(87\) −8.38244e6 −1.36475
\(88\) 5.54748e6 + 6.95633e6i 0.867774 + 1.08815i
\(89\) 9.71511e6 + 1.46432e6i 1.46077 + 0.220176i 0.830857 0.556486i \(-0.187851\pi\)
0.629917 + 0.776663i \(0.283089\pi\)
\(90\) 3.54665e6 1.55389e7i 0.512826 2.24684i
\(91\) −4.63683e6 3.16134e6i −0.645025 0.439771i
\(92\) 1.04080e6 + 1.80272e6i 0.139351 + 0.241363i
\(93\) −7.25430e6 + 1.25648e7i −0.935202 + 1.61982i
\(94\) 1.30073e6 626397.i 0.161525 0.0777862i
\(95\) −1.10045e7 3.39443e6i −1.31685 0.406194i
\(96\) −673703. 8.98994e6i −0.0777176 1.03707i
\(97\) 477810. + 2.09342e6i 0.0531562 + 0.232893i 0.994527 0.104482i \(-0.0333183\pi\)
−0.941371 + 0.337374i \(0.890461\pi\)
\(98\) −854297. + 2.17671e6i −0.0916891 + 0.233620i
\(99\) −2.27727e6 + 3.03881e7i −0.235880 + 3.14761i
\(100\) 659092. 99342.1i 0.0659092 0.00993421i
\(101\) −8.59353e6 7.97363e6i −0.829940 0.770072i 0.145728 0.989325i \(-0.453448\pi\)
−0.975668 + 0.219253i \(0.929638\pi\)
\(102\) −2.70291e7 1.30165e7i −2.52191 1.21449i
\(103\) −1.62352e7 + 1.10690e7i −1.46395 + 0.998105i −0.470679 + 0.882305i \(0.655991\pi\)
−0.993272 + 0.115801i \(0.963057\pi\)
\(104\) −4.24366e6 1.08127e7i −0.369934 0.942576i
\(105\) −1.96121e7 + 6.04952e6i −1.65334 + 0.509986i
\(106\) −1.06495e6 + 988128.i −0.0868477 + 0.0805829i
\(107\) −9.47117e6 + 1.18765e7i −0.747413 + 0.937226i −0.999536 0.0304694i \(-0.990300\pi\)
0.252123 + 0.967695i \(0.418871\pi\)
\(108\) 6.44407e6 8.08061e6i 0.492240 0.617250i
\(109\) 1.15336e7 1.07016e7i 0.853044 0.791509i −0.126663 0.991946i \(-0.540427\pi\)
0.979707 + 0.200437i \(0.0642361\pi\)
\(110\) 1.59694e7 4.92591e6i 1.14397 0.352868i
\(111\) −9.48521e6 2.41679e7i −0.658289 1.67729i
\(112\) 6.45165e6 4.39866e6i 0.433918 0.295841i
\(113\) 1.65829e7 + 7.98592e6i 1.08115 + 0.520656i 0.887685 0.460451i \(-0.152312\pi\)
0.193468 + 0.981107i \(0.438027\pi\)
\(114\) 2.26056e7 + 2.09749e7i 1.42905 + 1.32597i
\(115\) 1.72208e7 2.59561e6i 1.05587 0.159147i
\(116\) −266652. + 3.55823e6i −0.0158614 + 0.211656i
\(117\) 1.45343e7 3.70327e7i 0.838963 2.13764i
\(118\) −5.80192e6 2.54199e7i −0.325076 1.42425i
\(119\) 2.05373e6 + 2.74051e7i 0.111720 + 1.49079i
\(120\) −4.05929e7 1.25212e7i −2.14445 0.661474i
\(121\) −1.12303e7 + 5.40825e6i −0.576294 + 0.277529i
\(122\) −4.13865e6 + 7.16836e6i −0.206348 + 0.357405i
\(123\) 3.03095e6 + 5.24977e6i 0.146863 + 0.254374i
\(124\) 5.10282e6 + 3.47905e6i 0.240345 + 0.163864i
\(125\) −4.14865e6 + 1.81764e7i −0.189986 + 0.832384i
\(126\) 3.86610e7 + 5.82720e6i 1.72177 + 0.259515i
\(127\) −2.53150e6 3.17440e6i −0.109664 0.137514i 0.723970 0.689831i \(-0.242315\pi\)
−0.833634 + 0.552317i \(0.813744\pi\)
\(128\) 8.69592e6 0.366505
\(129\) 7.31404e6 + 4.47923e7i 0.299981 + 1.83713i
\(130\) −2.18173e7 −0.870962
\(131\) 5.57772e6 + 6.99423e6i 0.216774 + 0.271826i 0.878314 0.478084i \(-0.158668\pi\)
−0.661540 + 0.749909i \(0.730097\pi\)
\(132\) 1.80304e7 + 2.71765e6i 0.682334 + 0.102845i
\(133\) 6.28606e6 2.75410e7i 0.231685 1.01508i
\(134\) −959476. 654160.i −0.0344483 0.0234864i
\(135\) −4.32348e7 7.48848e7i −1.51239 2.61954i
\(136\) −2.84410e7 + 4.92612e7i −0.969523 + 1.67926i
\(137\) 2.74269e7 1.32081e7i 0.911286 0.438852i 0.0813339 0.996687i \(-0.474082\pi\)
0.829952 + 0.557835i \(0.188368\pi\)
\(138\) −4.45626e7 1.37457e7i −1.44342 0.445237i
\(139\) −2.60727e6 3.47916e7i −0.0823443 1.09881i −0.873380 0.487039i \(-0.838077\pi\)
0.791036 0.611770i \(-0.209542\pi\)
\(140\) 1.94406e6 + 8.51749e6i 0.0598772 + 0.262339i
\(141\) 4.81466e6 1.22676e7i 0.144643 0.368545i
\(142\) 324510. 4.33029e6i 0.00951084 0.126913i
\(143\) 4.12472e7 6.21701e6i 1.17955 0.177789i
\(144\) 4.05769e7 + 3.76499e7i 1.13243 + 1.05074i
\(145\) 2.68963e7 + 1.29526e7i 0.732662 + 0.352832i
\(146\) −3.33564e6 + 2.27420e6i −0.0887043 + 0.0604776i
\(147\) 7.79830e6 + 1.98697e7i 0.202483 + 0.515919i
\(148\) −1.05607e7 + 3.25754e6i −0.267778 + 0.0825987i
\(149\) −1.44562e7 + 1.34134e7i −0.358015 + 0.332189i −0.838589 0.544765i \(-0.816619\pi\)
0.480574 + 0.876954i \(0.340428\pi\)
\(150\) −9.31025e6 + 1.16747e7i −0.225238 + 0.282440i
\(151\) 1.71372e7 2.14894e7i 0.405061 0.507931i −0.536903 0.843644i \(-0.680406\pi\)
0.941964 + 0.335713i \(0.108977\pi\)
\(152\) 4.28616e7 3.97698e7i 0.989956 0.918545i
\(153\) −1.86162e8 + 5.74234e7i −4.20214 + 1.29619i
\(154\) 1.49770e7 + 3.81609e7i 0.330448 + 0.841969i
\(155\) 4.26916e7 2.91067e7i 0.920835 0.627815i
\(156\) −2.14471e7 1.03284e7i −0.452307 0.217819i
\(157\) 2.12458e7 + 1.97132e7i 0.438152 + 0.406545i 0.868164 0.496278i \(-0.165300\pi\)
−0.430012 + 0.902823i \(0.641491\pi\)
\(158\) 3.89714e7 5.87400e6i 0.786043 0.118477i
\(159\) −991015. + 1.32242e7i −0.0195520 + 0.260903i
\(160\) −1.17296e7 + 2.98865e7i −0.226393 + 0.576840i
\(161\) 9.50614e6 + 4.16491e7i 0.179520 + 0.786530i
\(162\) 8.90113e6 + 1.18777e8i 0.164491 + 2.19498i
\(163\) 2.05417e7 + 6.33627e6i 0.371517 + 0.114598i 0.474891 0.880045i \(-0.342488\pi\)
−0.103374 + 0.994643i \(0.532964\pi\)
\(164\) 2.32487e6 1.11960e6i 0.0411571 0.0198202i
\(165\) 7.62757e7 1.32113e8i 1.32188 2.28956i
\(166\) −1.84490e7 3.19546e7i −0.313036 0.542194i
\(167\) −3.74036e7 2.55013e7i −0.621449 0.423697i 0.211243 0.977434i \(-0.432249\pi\)
−0.832692 + 0.553737i \(0.813201\pi\)
\(168\) 2.31878e7 1.01592e8i 0.377291 1.65302i
\(169\) 8.19965e6 + 1.23590e6i 0.130675 + 0.0196961i
\(170\) 6.66135e7 + 8.35307e7i 1.03990 + 1.30399i
\(171\) 2.00257e8 3.06267
\(172\) 1.92464e7 1.67983e6i 0.288403 0.0251718i
\(173\) 5.52132e7 0.810740 0.405370 0.914153i \(-0.367143\pi\)
0.405370 + 0.914153i \(0.367143\pi\)
\(174\) −4.98410e7 6.24987e7i −0.717241 0.899391i
\(175\) 1.35264e7 + 2.03877e6i 0.190787 + 0.0287564i
\(176\) −1.29149e7 + 5.65841e7i −0.178566 + 0.782348i
\(177\) −1.96651e8 1.34075e8i −2.66557 1.81736i
\(178\) 4.68471e7 + 8.11416e7i 0.622606 + 1.07838i
\(179\) −1.09640e7 + 1.89903e7i −0.142884 + 0.247483i −0.928582 0.371128i \(-0.878971\pi\)
0.785697 + 0.618611i \(0.212304\pi\)
\(180\) −5.57992e7 + 2.68715e7i −0.713139 + 0.343430i
\(181\) −4.43408e7 1.36773e7i −0.555813 0.171446i 0.00410793 0.999992i \(-0.498692\pi\)
−0.559921 + 0.828546i \(0.689169\pi\)
\(182\) −3.99944e6 5.33688e7i −0.0491755 0.656202i
\(183\) 1.68132e7 + 7.36635e7i 0.202802 + 0.888532i
\(184\) −3.23041e7 + 8.23095e7i −0.382292 + 0.974065i
\(185\) −6.90964e6 + 9.22027e7i −0.0802332 + 1.07064i
\(186\) −1.36815e8 + 2.06216e7i −1.55898 + 0.234978i
\(187\) −1.49740e8 1.38939e8i −1.67453 1.55374i
\(188\) −5.05425e6 2.43400e6i −0.0554758 0.0267158i
\(189\) 1.75255e8 1.19487e8i 1.88823 1.28737i
\(190\) −4.01228e7 1.02231e8i −0.424378 1.08130i
\(191\) 1.38458e8 4.27085e7i 1.43781 0.443504i 0.524721 0.851274i \(-0.324170\pi\)
0.913085 + 0.407770i \(0.133693\pi\)
\(192\) 1.46890e8 1.36294e8i 1.49775 1.38971i
\(193\) 2.38770e6 2.99409e6i 0.0239073 0.0299788i −0.769734 0.638365i \(-0.779611\pi\)
0.793641 + 0.608386i \(0.208183\pi\)
\(194\) −1.27674e7 + 1.60098e7i −0.125544 + 0.157427i
\(195\) −1.45991e8 + 1.35460e8i −1.40995 + 1.30825i
\(196\) 8.68249e6 2.67819e6i 0.0823661 0.0254066i
\(197\) −2.50108e7 6.37266e7i −0.233075 0.593867i 0.765707 0.643189i \(-0.222389\pi\)
−0.998783 + 0.0493224i \(0.984294\pi\)
\(198\) −2.40111e8 + 1.63705e8i −2.19829 + 1.49877i
\(199\) −6.64922e7 3.20210e7i −0.598116 0.288037i 0.110227 0.993906i \(-0.464842\pi\)
−0.708342 + 0.705869i \(0.750557\pi\)
\(200\) 2.07549e7 + 1.92577e7i 0.183449 + 0.170216i
\(201\) −1.04819e7 + 1.57990e6i −0.0910448 + 0.0137228i
\(202\) 8.35448e6 1.11483e8i 0.0713165 0.951652i
\(203\) −2.67537e7 + 6.81672e7i −0.224464 + 0.571925i
\(204\) 2.59395e7 + 1.13649e8i 0.213923 + 0.937256i
\(205\) −1.61330e6 2.15281e7i −0.0130791 0.174528i
\(206\) −1.79062e8 5.52332e7i −1.42714 0.440215i
\(207\) −2.72849e8 + 1.31397e8i −2.13809 + 1.02965i
\(208\) 3.78850e7 6.56187e7i 0.291908 0.505599i
\(209\) 1.04987e8 + 1.81842e8i 0.795467 + 1.37779i
\(210\) −1.61716e8 1.10256e8i −1.20499 0.821551i
\(211\) 1.73989e7 7.62294e7i 0.127506 0.558642i −0.870305 0.492514i \(-0.836078\pi\)
0.997811 0.0661286i \(-0.0210648\pi\)
\(212\) 5.58195e6 + 841344.i 0.0402356 + 0.00606454i
\(213\) −2.47145e7 3.09911e7i −0.175236 0.219739i
\(214\) −1.44864e8 −1.01045
\(215\) 4.57450e7 1.55024e8i 0.313913 1.06381i
\(216\) 4.39028e8 2.96417
\(217\) 7.90259e7 + 9.90953e7i 0.525001 + 0.658330i
\(218\) 1.48367e8 + 2.23628e7i 0.969931 + 0.146194i
\(219\) −8.20041e6 + 3.59283e7i −0.0527571 + 0.231144i
\(220\) −5.36539e7 3.65806e7i −0.339720 0.231617i
\(221\) 1.33337e8 + 2.30946e8i 0.830954 + 1.43925i
\(222\) 1.23796e8 2.14420e8i 0.759399 1.31532i
\(223\) −6.78379e7 + 3.26690e7i −0.409643 + 0.197274i −0.627345 0.778742i \(-0.715858\pi\)
0.217702 + 0.976015i \(0.430144\pi\)
\(224\) −7.52577e7 2.32139e7i −0.447387 0.138000i
\(225\) 7.24659e6 + 9.66990e7i 0.0424126 + 0.565957i
\(226\) 3.90580e7 + 1.71124e8i 0.225077 + 0.986125i
\(227\) −3.51733e7 + 8.96200e7i −0.199582 + 0.508527i −0.995266 0.0971844i \(-0.969016\pi\)
0.795684 + 0.605712i \(0.207112\pi\)
\(228\) 8.95460e6 1.19491e8i 0.0500351 0.667671i
\(229\) −1.12548e8 + 1.69639e7i −0.619319 + 0.0933473i −0.451205 0.892420i \(-0.649006\pi\)
−0.168114 + 0.985768i \(0.553768\pi\)
\(230\) 1.21745e8 + 1.12963e8i 0.659789 + 0.612195i
\(231\) 3.37154e8 + 1.62365e8i 1.79964 + 0.866662i
\(232\) −1.25232e8 + 8.53820e7i −0.658428 + 0.448909i
\(233\) −1.27222e8 3.24155e8i −0.658893 1.67883i −0.731823 0.681495i \(-0.761330\pi\)
0.0729300 0.997337i \(-0.476765\pi\)
\(234\) 3.62532e8 1.11826e8i 1.84965 0.570543i
\(235\) −3.44044e7 + 3.19226e7i −0.172932 + 0.160458i
\(236\) −6.31684e7 + 7.92107e7i −0.312830 + 0.392276i
\(237\) 2.24308e8 2.81273e8i 1.09452 1.37249i
\(238\) −1.92119e8 + 1.78260e8i −0.923742 + 0.857107i
\(239\) −7.22729e7 + 2.22932e7i −0.342439 + 0.105628i −0.461204 0.887294i \(-0.652583\pi\)
0.118766 + 0.992922i \(0.462106\pi\)
\(240\) −1.01237e8 2.57948e8i −0.472716 1.20446i
\(241\) −5.11297e6 + 3.48596e6i −0.0235295 + 0.0160422i −0.575028 0.818134i \(-0.695009\pi\)
0.551498 + 0.834176i \(0.314056\pi\)
\(242\) −1.07098e8 5.15756e7i −0.485765 0.233932i
\(243\) 3.49877e8 + 3.24638e8i 1.56420 + 1.45137i
\(244\) 3.18039e7 4.79367e6i 0.140158 0.0211254i
\(245\) 5.68079e6 7.58048e7i 0.0246790 0.329318i
\(246\) −2.11201e7 + 5.38130e7i −0.0904528 + 0.230470i
\(247\) −6.09972e7 2.67246e8i −0.257556 1.12842i
\(248\) 1.96048e7 + 2.61607e8i 0.0816170 + 1.08910i
\(249\) −3.21852e8 9.92783e7i −1.32117 0.407527i
\(250\) −1.60189e8 + 7.71430e7i −0.648400 + 0.312253i
\(251\) 1.77848e8 3.08041e8i 0.709888 1.22956i −0.255010 0.966938i \(-0.582079\pi\)
0.964898 0.262624i \(-0.0845879\pi\)
\(252\) −7.59610e7 1.31568e8i −0.299012 0.517904i
\(253\) −2.62358e8 1.78873e8i −1.01853 0.694421i
\(254\) 8.61601e6 3.77492e7i 0.0329905 0.144541i
\(255\) 9.64374e8 + 1.45356e8i 3.64213 + 0.548962i
\(256\) −1.32000e8 1.65522e8i −0.491737 0.616619i
\(257\) 7.59792e6 0.0279208 0.0139604 0.999903i \(-0.495556\pi\)
0.0139604 + 0.999903i \(0.495556\pi\)
\(258\) −2.90479e8 + 3.20863e8i −1.05304 + 1.16319i
\(259\) −2.26810e8 −0.811173
\(260\) 5.28567e7 + 6.62802e7i 0.186506 + 0.233871i
\(261\) −5.13317e8 7.73701e7i −1.78708 0.269359i
\(262\) −1.89839e7 + 8.31738e7i −0.0652125 + 0.285714i
\(263\) 3.89368e8 + 2.65467e8i 1.31982 + 0.899839i 0.998883 0.0472607i \(-0.0150491\pi\)
0.320939 + 0.947100i \(0.396002\pi\)
\(264\) 3.87271e8 + 6.70773e8i 1.29539 + 2.24368i
\(265\) 2.36138e7 4.09003e7i 0.0779481 0.135010i
\(266\) 2.42719e8 1.16888e8i 0.790713 0.380787i
\(267\) 8.17274e8 + 2.52096e8i 2.62771 + 0.810543i
\(268\) 337205. + 4.49969e6i 0.00107010 + 0.0142794i
\(269\) −6.90458e7 3.02509e8i −0.216274 0.947558i −0.960204 0.279300i \(-0.909897\pi\)
0.743930 0.668258i \(-0.232960\pi\)
\(270\) 3.01265e8 7.67611e8i 0.931485 2.37338i
\(271\) −8.24064e6 + 1.09964e8i −0.0251518 + 0.335627i 0.970406 + 0.241478i \(0.0776321\pi\)
−0.995558 + 0.0941491i \(0.969987\pi\)
\(272\) −3.66903e8 + 5.53017e7i −1.10550 + 0.166628i
\(273\) −3.58120e8 3.32287e8i −1.06527 0.988425i
\(274\) 2.61556e8 + 1.25959e8i 0.768134 + 0.369914i
\(275\) −8.40080e7 + 5.72757e7i −0.243588 + 0.166076i
\(276\) 6.62026e7 + 1.68681e8i 0.189537 + 0.482931i
\(277\) −3.04841e8 + 9.40311e7i −0.861776 + 0.265823i −0.693976 0.719998i \(-0.744143\pi\)
−0.167800 + 0.985821i \(0.553666\pi\)
\(278\) 2.43900e8 2.26306e8i 0.680856 0.631742i
\(279\) −5.60207e8 + 7.02477e8i −1.54431 + 1.93650i
\(280\) −2.31382e8 + 2.90144e8i −0.629907 + 0.789878i
\(281\) 1.91200e8 1.77408e8i 0.514063 0.476981i −0.379959 0.925003i \(-0.624062\pi\)
0.894022 + 0.448022i \(0.147871\pi\)
\(282\) 1.20093e8 3.70438e7i 0.318894 0.0983658i
\(283\) −1.26932e8 3.23417e8i −0.332903 0.848223i −0.995098 0.0988914i \(-0.968470\pi\)
0.662195 0.749331i \(-0.269625\pi\)
\(284\) −1.39415e7 + 9.50513e6i −0.0361155 + 0.0246232i
\(285\) −9.03218e8 4.34967e8i −2.31119 1.11301i
\(286\) 2.91605e8 + 2.70569e8i 0.737078 + 0.683908i
\(287\) 5.23655e7 7.89283e6i 0.130755 0.0197082i
\(288\) 4.17217e7 5.56737e8i 0.102917 1.37334i
\(289\) 3.27188e8 8.33660e8i 0.797360 2.03164i
\(290\) 6.33491e7 + 2.77550e8i 0.152527 + 0.668265i
\(291\) 1.39688e7 + 1.86400e8i 0.0332302 + 0.443426i
\(292\) 1.49902e7 + 4.62387e6i 0.0352345 + 0.0108684i
\(293\) 2.55321e8 1.22956e8i 0.592993 0.285570i −0.113220 0.993570i \(-0.536116\pi\)
0.706213 + 0.708000i \(0.250402\pi\)
\(294\) −1.01779e8 + 1.76287e8i −0.233584 + 0.404579i
\(295\) 4.23812e8 + 7.34063e8i 0.961160 + 1.66478i
\(296\) −3.87877e8 2.64450e8i −0.869307 0.592684i
\(297\) −3.50827e8 + 1.53707e9i −0.777044 + 3.40445i
\(298\) −1.85963e8 2.80295e7i −0.407071 0.0613561i
\(299\) 2.58461e8 + 3.24099e8i 0.559172 + 0.701179i
\(300\) 5.80233e7 0.124073
\(301\) 3.87601e8 + 8.34818e7i 0.819224 + 0.176445i
\(302\) 2.62119e8 0.547613
\(303\) −6.36274e8 7.97862e8i −1.31400 1.64770i
\(304\) 3.77147e8 + 5.68458e7i 0.769934 + 0.116049i
\(305\) 5.98773e7 2.62340e8i 0.120841 0.529437i
\(306\) −1.53504e9 1.04657e9i −3.06263 2.08807i
\(307\) 6.56422e7 + 1.13696e8i 0.129479 + 0.224264i 0.923475 0.383659i \(-0.125336\pi\)
−0.793996 + 0.607923i \(0.792003\pi\)
\(308\) 7.96467e7 1.37952e8i 0.155325 0.269030i
\(309\) −1.54113e9 + 7.42169e8i −2.97156 + 1.43103i
\(310\) 4.70856e8 + 1.45240e8i 0.897682 + 0.276898i
\(311\) −1.53245e7 2.04492e8i −0.0288886 0.385491i −0.992843 0.119425i \(-0.961895\pi\)
0.963955 0.266066i \(-0.0857240\pi\)
\(312\) −2.25004e8 9.85809e8i −0.419421 1.83760i
\(313\) 3.31098e8 8.43625e8i 0.610312 1.55505i −0.206685 0.978408i \(-0.566267\pi\)
0.816997 0.576642i \(-0.195637\pi\)
\(314\) −2.06548e7 + 2.75619e8i −0.0376502 + 0.502407i
\(315\) −1.25683e9 + 1.89436e8i −2.26562 + 0.341488i
\(316\) −1.12261e8 1.04163e8i −0.200136 0.185699i
\(317\) 9.53224e8 + 4.59048e8i 1.68069 + 0.809377i 0.996813 + 0.0797797i \(0.0254217\pi\)
0.683877 + 0.729598i \(0.260293\pi\)
\(318\) −1.04491e8 + 7.12405e7i −0.182214 + 0.124232i
\(319\) −1.98856e8 5.06678e8i −0.342983 0.873905i
\(320\) −6.81921e8 + 2.10345e8i −1.16335 + 0.358845i
\(321\) −9.69364e8 + 8.99438e8i −1.63576 + 1.51776i
\(322\) −2.54009e8 + 3.18518e8i −0.423989 + 0.531665i
\(323\) −8.36953e8 + 1.04951e9i −1.38195 + 1.73291i
\(324\) 3.39277e8 3.14803e8i 0.554175 0.514199i
\(325\) 1.26839e8 3.91248e7i 0.204957 0.0632208i
\(326\) 7.48958e7 + 1.90831e8i 0.119728 + 0.305062i
\(327\) 1.13165e9 7.71547e8i 1.78976 1.22024i
\(328\) 9.87551e7 + 4.75579e7i 0.154526 + 0.0744157i
\(329\) −8.43949e7 7.83070e7i −0.130656 0.121231i
\(330\) 1.43855e9 2.16827e8i 2.20357 0.332134i
\(331\) 2.37569e7 3.17014e8i 0.0360074 0.480485i −0.949828 0.312771i \(-0.898743\pi\)
0.985836 0.167713i \(-0.0536384\pi\)
\(332\) −5.23806e7 + 1.33464e8i −0.0785575 + 0.200161i
\(333\) −3.57777e8 1.56752e9i −0.530955 2.32627i
\(334\) −3.22619e7 4.30506e8i −0.0473781 0.632217i
\(335\) 3.60740e7 + 1.11274e7i 0.0524249 + 0.0161710i
\(336\) 6.12426e8 2.94929e8i 0.880777 0.424160i
\(337\) −9.10244e7 + 1.57659e8i −0.129555 + 0.224395i −0.923504 0.383588i \(-0.874688\pi\)
0.793949 + 0.607984i \(0.208021\pi\)
\(338\) 3.95394e7 + 6.84843e7i 0.0556958 + 0.0964679i
\(339\) 1.32384e9 + 9.02579e8i 1.84560 + 1.25831i
\(340\) 9.23791e7 4.04739e8i 0.127467 0.558469i
\(341\) −9.31576e8 1.40412e8i −1.27227 0.191763i
\(342\) 1.19070e9 + 1.49309e9i 1.60958 + 2.01835i
\(343\) 8.12767e8 1.08752
\(344\) 5.65517e8 + 5.94691e8i 0.749016 + 0.787656i
\(345\) 1.51603e9 1.98766
\(346\) 3.28291e8 + 4.11664e8i 0.426082 + 0.534290i
\(347\) −8.77599e8 1.32277e8i −1.12757 0.169954i −0.441340 0.897340i \(-0.645497\pi\)
−0.686228 + 0.727386i \(0.740735\pi\)
\(348\) −6.91192e7 + 3.02831e8i −0.0879167 + 0.385188i
\(349\) 1.07607e9 + 7.33651e8i 1.35504 + 0.923848i 0.999940 0.0109822i \(-0.00349582\pi\)
0.355096 + 0.934830i \(0.384448\pi\)
\(350\) 6.52253e7 + 1.12974e8i 0.0813164 + 0.140844i
\(351\) 1.02912e9 1.78249e9i 1.27026 2.20015i
\(352\) 5.27416e8 2.53990e8i 0.644546 0.310397i
\(353\) −9.36781e8 2.88959e8i −1.13351 0.349643i −0.329443 0.944176i \(-0.606861\pi\)
−0.804071 + 0.594533i \(0.797337\pi\)
\(354\) −1.69619e8 2.26341e9i −0.203218 2.71176i
\(355\) 3.14127e7 + 1.37628e8i 0.0372655 + 0.163271i
\(356\) 1.33009e8 3.38902e8i 0.156245 0.398106i
\(357\) −1.78781e8 + 2.38567e9i −0.207961 + 2.77505i
\(358\) −2.06780e8 + 3.11671e7i −0.238187 + 0.0359010i
\(359\) 9.76443e8 + 9.06007e8i 1.11382 + 1.03348i 0.999197 + 0.0400688i \(0.0127577\pi\)
0.114627 + 0.993409i \(0.463433\pi\)
\(360\) −2.37022e9 1.14144e9i −2.67750 1.28942i
\(361\) 4.01532e8 2.73760e8i 0.449205 0.306263i
\(362\) −1.61669e8 4.11925e8i −0.179121 0.456392i
\(363\) −1.03687e9 + 3.19833e8i −1.13776 + 0.350953i
\(364\) −1.52443e8 + 1.41447e8i −0.165674 + 0.153723i
\(365\) 8.18287e7 1.02610e8i 0.0880807 0.110450i
\(366\) −4.49258e8 + 5.63352e8i −0.478975 + 0.600615i
\(367\) −9.75154e8 + 9.04811e8i −1.02977 + 0.955491i −0.999030 0.0440364i \(-0.985978\pi\)
−0.0307443 + 0.999527i \(0.509788\pi\)
\(368\) −5.51161e8 + 1.70011e8i −0.576515 + 0.177831i
\(369\) 1.37152e8 + 3.49457e8i 0.142105 + 0.362077i
\(370\) −7.28539e8 + 4.96709e8i −0.747733 + 0.509796i
\(371\) 1.04378e8 + 5.02658e7i 0.106121 + 0.0511050i
\(372\) 3.94110e8 + 3.65681e8i 0.396933 + 0.368300i
\(373\) 1.94877e9 2.93730e8i 1.94437 0.293067i 0.944957 0.327195i \(-0.106103\pi\)
0.999417 + 0.0341273i \(0.0108652\pi\)
\(374\) 1.45575e8 1.94257e9i 0.143892 1.92011i
\(375\) −5.92942e8 + 1.51079e9i −0.580635 + 1.47943i
\(376\) −5.30247e7 2.32317e8i −0.0514424 0.225384i
\(377\) 5.31021e7 + 7.08599e8i 0.0510408 + 0.681092i
\(378\) 1.93293e9 + 5.96231e8i 1.84075 + 0.567797i
\(379\) −1.30257e9 + 6.27284e8i −1.22903 + 0.591871i −0.931813 0.362938i \(-0.881774\pi\)
−0.297219 + 0.954809i \(0.596059\pi\)
\(380\) −2.13370e8 + 3.69567e8i −0.199476 + 0.345502i
\(381\) −1.76724e8 3.06095e8i −0.163704 0.283543i
\(382\) 1.14168e9 + 7.78387e8i 1.04791 + 0.714454i
\(383\) 2.92603e8 1.28198e9i 0.266123 1.16596i −0.648359 0.761335i \(-0.724544\pi\)
0.914482 0.404627i \(-0.132598\pi\)
\(384\) 7.48540e8 + 1.12824e8i 0.674615 + 0.101682i
\(385\) −8.30920e8 1.04194e9i −0.742073 0.930531i
\(386\) 3.65207e7 0.0323209
\(387\) 3.44570e7 + 2.81046e9i 0.0302196 + 2.46485i
\(388\) 7.95686e7 0.0691561
\(389\) −8.71492e8 1.09282e9i −0.750654 0.941290i 0.248976 0.968510i \(-0.419906\pi\)
−0.999629 + 0.0272195i \(0.991335\pi\)
\(390\) −1.87802e9 2.83066e8i −1.60315 0.241636i
\(391\) 4.51719e8 1.97911e9i 0.382164 1.67437i
\(392\) 3.18895e8 + 2.17419e8i 0.267391 + 0.182304i
\(393\) 3.89381e8 + 6.74428e8i 0.323594 + 0.560482i
\(394\) 3.26428e8 5.65390e8i 0.268875 0.465705i
\(395\) −1.15435e9 + 5.55904e8i −0.942424 + 0.453848i
\(396\) 1.07905e9 + 3.32842e8i 0.873188 + 0.269343i
\(397\) 8.37921e7 + 1.11813e9i 0.0672104 + 0.896860i 0.924294 + 0.381682i \(0.124655\pi\)
−0.857083 + 0.515178i \(0.827726\pi\)
\(398\) −1.56610e8 6.86153e8i −0.124517 0.545545i
\(399\) 8.98430e8 2.28916e9i 0.708074 1.80414i
\(400\) −1.38018e7 + 1.84172e8i −0.0107827 + 0.143885i
\(401\) −8.18911e8 + 1.23431e8i −0.634207 + 0.0955914i −0.458274 0.888811i \(-0.651532\pi\)
−0.175933 + 0.984402i \(0.556294\pi\)
\(402\) −7.41039e7 6.87584e7i −0.0568919 0.0527879i
\(403\) 1.10811e9 + 5.33636e8i 0.843361 + 0.406141i
\(404\) −3.58922e8 + 2.44709e8i −0.270810 + 0.184635i
\(405\) −1.41465e9 3.60448e9i −1.05818 2.69619i
\(406\) −6.67322e8 + 2.05842e8i −0.494874 + 0.152648i
\(407\) 1.23582e9 1.14667e9i 0.908601 0.843058i
\(408\) −3.08732e9 + 3.87138e9i −2.25046 + 2.82199i
\(409\) 1.21549e8 1.52418e8i 0.0878456 0.110155i −0.735966 0.677018i \(-0.763272\pi\)
0.823812 + 0.566863i \(0.191843\pi\)
\(410\) 1.50919e8 1.40032e8i 0.108143 0.100342i
\(411\) 2.53226e9 7.81099e8i 1.79913 0.554958i
\(412\) 2.66016e8 + 6.77797e8i 0.187399 + 0.477484i
\(413\) −1.71795e9 + 1.17128e9i −1.20001 + 0.818155i
\(414\) −2.60201e9 1.25306e9i −1.80222 0.867904i
\(415\) 8.79304e8 + 8.15875e8i 0.603908 + 0.560345i
\(416\) −7.55685e8 + 1.13901e8i −0.514653 + 0.0775714i
\(417\) 2.26967e8 3.02867e9i 0.153281 2.04539i
\(418\) −7.31559e8 + 1.86398e9i −0.489928 + 1.24832i
\(419\) −5.27469e8 2.31099e9i −0.350306 1.53479i −0.776476 0.630147i \(-0.782994\pi\)
0.426170 0.904643i \(-0.359863\pi\)
\(420\) 5.68346e7 + 7.58405e8i 0.0374317 + 0.499492i
\(421\) 1.07139e9 + 3.30480e8i 0.699778 + 0.215853i 0.624174 0.781285i \(-0.285436\pi\)
0.0756034 + 0.997138i \(0.475912\pi\)
\(422\) 6.71811e8 3.23527e8i 0.435165 0.209564i
\(423\) 4.08066e8 7.06791e8i 0.262144 0.454046i
\(424\) 1.19893e8 + 2.07661e8i 0.0763861 + 0.132305i
\(425\) −5.37067e8 3.66166e8i −0.339365 0.231375i
\(426\) 8.41165e7 3.68539e8i 0.0527167 0.230967i
\(427\) 6.52703e8 + 9.83792e7i 0.405712 + 0.0611513i
\(428\) 3.50963e8 + 4.40093e8i 0.216375 + 0.271326i
\(429\) 3.63120e9 2.22049
\(430\) 1.42784e9 5.80686e8i 0.866044 0.352210i
\(431\) 3.03348e8 0.182503 0.0912517 0.995828i \(-0.470913\pi\)
0.0912517 + 0.995828i \(0.470913\pi\)
\(432\) 1.78557e9 + 2.23903e9i 1.06557 + 1.33619i
\(433\) 2.51574e8 + 3.79187e7i 0.148922 + 0.0224463i 0.223080 0.974800i \(-0.428389\pi\)
−0.0741583 + 0.997246i \(0.523627\pi\)
\(434\) −2.68966e8 + 1.17842e9i −0.157937 + 0.691967i
\(435\) 2.14717e9 + 1.46391e9i 1.25070 + 0.852713i
\(436\) −2.91512e8 5.04914e8i −0.168443 0.291753i
\(437\) −1.04334e9 + 1.80712e9i −0.598055 + 1.03586i
\(438\) −3.16637e8 + 1.52484e8i −0.180054 + 0.0867094i
\(439\) −2.12980e9 6.56956e8i −1.20147 0.370604i −0.371511 0.928429i \(-0.621160\pi\)
−0.829959 + 0.557824i \(0.811636\pi\)
\(440\) −2.06135e8 2.75068e9i −0.115363 1.53942i
\(441\) 2.94148e8 + 1.28875e9i 0.163317 + 0.715537i
\(442\) −9.29107e8 + 2.36733e9i −0.511785 + 1.30401i
\(443\) 2.17111e8 2.89715e9i 0.118650 1.58328i −0.547077 0.837083i \(-0.684259\pi\)
0.665727 0.746195i \(-0.268122\pi\)
\(444\) −9.51322e8 + 1.43389e8i −0.515807 + 0.0777454i
\(445\) −2.23280e9 2.07174e9i −1.20113 1.11449i
\(446\) −6.46934e8 3.11547e8i −0.345293 0.166284i
\(447\) −1.41841e9 + 9.67056e8i −0.751148 + 0.512124i
\(448\) −6.39545e8 1.62953e9i −0.336046 0.856230i
\(449\) −1.26329e9 + 3.89673e8i −0.658628 + 0.203160i −0.606013 0.795455i \(-0.707232\pi\)
−0.0526154 + 0.998615i \(0.516756\pi\)
\(450\) −6.77891e8 + 6.28991e8i −0.350684 + 0.325387i
\(451\) −2.45420e8 + 3.07746e8i −0.125977 + 0.157970i
\(452\) 4.25244e8 5.33240e8i 0.216598 0.271605i
\(453\) 1.75398e9 1.62745e9i 0.886502 0.822554i
\(454\) −8.77334e8 + 2.70622e8i −0.440017 + 0.135727i
\(455\) 6.35629e8 + 1.61956e9i 0.316347 + 0.806040i
\(456\) 4.20550e9 2.86726e9i 2.07702 1.41609i
\(457\) −8.49227e8 4.08966e8i −0.416215 0.200438i 0.214043 0.976824i \(-0.431337\pi\)
−0.630258 + 0.776386i \(0.717051\pi\)
\(458\) −7.95680e8 7.38283e8i −0.386999 0.359082i
\(459\) −9.96671e9 + 1.50224e9i −4.81069 + 0.725095i
\(460\) 4.82262e7 6.43534e8i 0.0231010 0.308262i
\(461\) −1.38027e8 + 3.51688e8i −0.0656163 + 0.167188i −0.959921 0.280271i \(-0.909576\pi\)
0.894305 + 0.447459i \(0.147671\pi\)
\(462\) 7.94103e8 + 3.47919e9i 0.374653 + 1.64146i
\(463\) −1.77351e7 2.36659e8i −0.00830426 0.110813i 0.991511 0.130021i \(-0.0415045\pi\)
−0.999816 + 0.0192083i \(0.993885\pi\)
\(464\) −9.44778e8 2.91425e8i −0.439053 0.135430i
\(465\) 4.05252e9 1.95159e9i 1.86913 0.900126i
\(466\) 1.66043e9 2.87594e9i 0.760096 1.31653i
\(467\) −5.83746e8 1.01108e9i −0.265225 0.459383i 0.702398 0.711785i \(-0.252113\pi\)
−0.967623 + 0.252402i \(0.918780\pi\)
\(468\) −1.21803e9 8.30439e8i −0.549285 0.374496i
\(469\) −2.06065e7 + 9.02830e7i −0.00922358 + 0.0404111i
\(470\) −4.42576e8 6.67076e7i −0.196628 0.0296369i
\(471\) 1.57306e9 + 1.97256e9i 0.693701 + 0.869874i
\(472\) −4.30360e9 −1.88380
\(473\) −2.53397e9 + 1.50470e9i −1.10100 + 0.653788i
\(474\) 3.43085e9 1.47971
\(475\) 4.16593e8 + 5.22391e8i 0.178354 + 0.223649i
\(476\) 1.00700e9 + 1.51780e8i 0.427960 + 0.0645046i
\(477\) −1.82746e8 + 8.00664e8i −0.0770965 + 0.337782i
\(478\) −5.95943e8 4.06307e8i −0.249578 0.170160i
\(479\) 1.63020e9 + 2.82359e9i 0.677745 + 1.17389i 0.975658 + 0.219296i \(0.0703760\pi\)
−0.297913 + 0.954593i \(0.596291\pi\)
\(480\) −1.39744e9 + 2.42043e9i −0.576751 + 0.998962i
\(481\) −1.98291e9 + 9.54921e8i −0.812449 + 0.391255i
\(482\) −5.63922e7 1.73947e7i −0.0229379 0.00707541i
\(483\) 2.77912e8 + 3.70847e9i 0.112226 + 1.49755i
\(484\) 1.02781e8 + 4.50312e8i 0.0412053 + 0.180532i
\(485\) 2.43205e8 6.19676e8i 0.0968002 0.246643i
\(486\) −3.40144e8 + 4.53891e9i −0.134411 + 1.79359i
\(487\) −3.18944e9 + 4.80731e8i −1.25131 + 0.188604i −0.741068 0.671430i \(-0.765681\pi\)
−0.510237 + 0.860034i \(0.670442\pi\)
\(488\) 1.00151e9 + 9.29264e8i 0.390108 + 0.361968i
\(489\) 1.68601e9 + 8.11939e8i 0.652047 + 0.314009i
\(490\) 5.98971e8 4.08372e8i 0.229996 0.156808i
\(491\) −3.69212e8 9.40737e8i −0.140764 0.358660i 0.843055 0.537827i \(-0.180755\pi\)
−0.983819 + 0.179168i \(0.942660\pi\)
\(492\) 2.14650e8 6.62107e7i 0.0812555 0.0250640i
\(493\) 2.55084e9 2.36683e9i 0.958780 0.889618i
\(494\) 1.62988e9 2.04381e9i 0.608291 0.762773i
\(495\) 5.89032e9 7.38622e9i 2.18283 2.73719i
\(496\) −1.25446e9 + 1.16397e9i −0.461604 + 0.428306i
\(497\) −3.30903e8 + 1.02070e8i −0.120908 + 0.0372951i
\(498\) −1.17349e9 2.99000e9i −0.425771 1.08485i
\(499\) −1.24899e9 + 8.51548e8i −0.449995 + 0.306801i −0.767028 0.641613i \(-0.778266\pi\)
0.317034 + 0.948414i \(0.397313\pi\)
\(500\) 6.22448e8 + 2.99755e8i 0.222694 + 0.107244i
\(501\) −2.88882e9 2.68043e9i −1.02633 0.952298i
\(502\) 3.35419e9 5.05562e8i 1.18338 0.178366i
\(503\) −3.84133e8 + 5.12590e9i −0.134584 + 1.79590i 0.366415 + 0.930452i \(0.380585\pi\)
−0.500999 + 0.865448i \(0.667034\pi\)
\(504\) 2.35765e9 6.00720e9i 0.820301 2.09009i
\(505\) 8.08718e8 + 3.54323e9i 0.279433 + 1.22428i
\(506\) −2.26294e8 3.01968e9i −0.0776507 1.03618i
\(507\) 6.89787e8 + 2.12771e8i 0.235065 + 0.0725078i
\(508\) −1.35555e8 + 6.52798e7i −0.0458767 + 0.0220931i
\(509\) −5.20686e7 + 9.01855e7i −0.0175010 + 0.0303127i −0.874643 0.484767i \(-0.838904\pi\)
0.857142 + 0.515080i \(0.172238\pi\)
\(510\) 4.65030e9 + 8.05455e9i 1.55233 + 2.68872i
\(511\) 2.66002e8 + 1.81357e8i 0.0881884 + 0.0601258i
\(512\) 6.96947e8 3.05352e9i 0.229485 1.00544i
\(513\) 1.02450e10 + 1.54418e9i 3.35043 + 0.504996i
\(514\) 4.51763e7 + 5.66493e7i 0.0146737 + 0.0184003i
\(515\) 6.09173e9 1.96524
\(516\) 1.67851e9 + 1.05112e8i 0.537837 + 0.0336804i
\(517\) 8.55732e8 0.272346
\(518\) −1.34859e9 1.69108e9i −0.426309 0.534575i
\(519\) 4.75273e9 + 7.16358e8i 1.49230 + 0.224929i
\(520\) −8.01314e8 + 3.51079e9i −0.249914 + 1.09495i
\(521\) −1.48688e9 1.01374e9i −0.460620 0.314045i 0.310683 0.950514i \(-0.399442\pi\)
−0.771303 + 0.636468i \(0.780395\pi\)
\(522\) −2.47526e9 4.28728e9i −0.761683 1.31927i
\(523\) 1.22788e9 2.12675e9i 0.375318 0.650071i −0.615056 0.788483i \(-0.710867\pi\)
0.990375 + 0.138413i \(0.0442000\pi\)
\(524\) 2.98672e8 1.43833e8i 0.0906848 0.0436715i
\(525\) 1.13789e9 + 3.50993e8i 0.343197 + 0.105862i
\(526\) 3.35844e8 + 4.48153e9i 0.100621 + 1.34269i
\(527\) −1.34022e9 5.87187e9i −0.398876 1.74759i
\(528\) −1.84586e9 + 4.70317e9i −0.545732 + 1.39050i
\(529\) −1.86246e7 + 2.48528e8i −0.00547006 + 0.0729929i
\(530\) 4.45354e8 6.71263e7i 0.129939 0.0195852i
\(531\) −1.08049e10 1.00254e10i −3.13176 2.90585i
\(532\) −9.43137e8 4.54191e8i −0.271571 0.130782i
\(533\) 4.24581e8 2.89475e8i 0.121455 0.0828066i
\(534\) 2.97982e9 + 7.59245e9i 0.846828 + 2.15768i
\(535\) 4.50016e9 1.38811e9i 1.27054 0.391911i
\(536\) −1.40506e8 + 1.30370e8i −0.0394110 + 0.0365681i
\(537\) −1.19017e9 + 1.49242e9i −0.331663 + 0.415893i
\(538\) 1.84494e9 2.31349e9i 0.510793 0.640514i
\(539\) −1.01603e9 + 9.42738e8i −0.279477 + 0.259317i
\(540\) −3.06185e9 + 9.44457e8i −0.836770 + 0.258109i
\(541\) −1.15057e9 2.93160e9i −0.312408 0.796003i −0.997703 0.0677373i \(-0.978422\pi\)
0.685295 0.728265i \(-0.259673\pi\)
\(542\) −8.68877e8 + 5.92390e8i −0.234402 + 0.159812i
\(543\) −3.63938e9 1.75263e9i −0.975503 0.469777i
\(544\) 2.74338e9 + 2.54548e9i 0.730617 + 0.677913i
\(545\) −4.82326e9 + 7.26990e8i −1.27630 + 0.192371i
\(546\) 3.48158e8 4.64585e9i 0.0915382 1.22149i
\(547\) −2.25029e9 + 5.73364e9i −0.587872 + 1.49787i 0.258894 + 0.965906i \(0.416642\pi\)
−0.846765 + 0.531967i \(0.821453\pi\)
\(548\) −2.51012e8 1.09976e9i −0.0651573 0.285473i
\(549\) 3.49678e8 + 4.66613e9i 0.0901914 + 1.20352i
\(550\) −9.26544e8 2.85801e8i −0.237463 0.0732478i
\(551\) −3.22269e9 + 1.55196e9i −0.820705 + 0.395231i
\(552\) −3.84864e9 + 6.66604e9i −0.973914 + 1.68687i
\(553\) −1.57144e9 2.72182e9i −0.395149 0.684419i
\(554\) −2.51364e9 1.71377e9i −0.628085 0.428221i
\(555\) −1.79105e9 + 7.84712e9i −0.444717 + 1.94843i
\(556\) −1.27841e9 1.92689e8i −0.315433 0.0475439i
\(557\) 1.25683e9 + 1.57602e9i 0.308166 + 0.386428i 0.911664 0.410937i \(-0.134798\pi\)
−0.603498 + 0.797364i \(0.706227\pi\)
\(558\) −8.56853e9 −2.08779
\(559\) 3.74013e9 9.02039e8i 0.905618 0.218416i
\(560\) −2.42078e9 −0.582501
\(561\) −1.10869e10 1.39026e10i −2.65120 3.32449i
\(562\) 2.45959e9 + 3.70724e8i 0.584502 + 0.0880996i
\(563\) −1.47376e9 + 6.45697e9i −0.348055 + 1.52493i 0.433536 + 0.901136i \(0.357266\pi\)
−0.781590 + 0.623792i \(0.785591\pi\)
\(564\) −4.03488e8 2.75093e8i −0.0947007 0.0645659i
\(565\) −2.85306e9 4.94165e9i −0.665490 1.15266i
\(566\) 1.65664e9 2.86939e9i 0.384035 0.665169i
\(567\) 8.55784e9 4.12124e9i 1.97162 0.949483i
\(568\) −6.84900e8 2.11264e8i −0.156822 0.0483733i
\(569\) 3.42220e8 + 4.56661e9i 0.0778776 + 1.03920i 0.890073 + 0.455818i \(0.150653\pi\)
−0.812195 + 0.583386i \(0.801728\pi\)
\(570\) −2.12736e9 9.32058e9i −0.481149 2.10805i
\(571\) −2.57786e9 + 6.56828e9i −0.579473 + 1.47647i 0.277302 + 0.960783i \(0.410560\pi\)
−0.856775 + 0.515690i \(0.827536\pi\)
\(572\) 1.15511e8 1.54139e9i 0.0258071 0.344372i
\(573\) 1.24725e10 1.87993e9i 2.76957 0.417445i
\(574\) 3.70208e8 + 3.43503e8i 0.0817060 + 0.0758121i
\(575\) −9.10369e8 4.38411e8i −0.199701 0.0961709i
\(576\) 1.02532e10 6.99048e9i 2.23552 1.52415i
\(577\) −3.76911e8 9.60353e8i −0.0816814 0.208121i 0.884198 0.467112i \(-0.154705\pi\)
−0.965880 + 0.258991i \(0.916610\pi\)
\(578\) 8.16111e9 2.51737e9i 1.75793 0.542250i
\(579\) 2.44379e8 2.26751e8i 0.0523226 0.0485482i
\(580\) 6.89714e8 8.64874e8i 0.146781 0.184058i
\(581\) −1.83458e9 + 2.30049e9i −0.388079 + 0.486636i
\(582\) −1.30673e9 + 1.21246e9i −0.274760 + 0.254940i
\(583\) −8.22847e8 + 2.53815e8i −0.171980 + 0.0530489i
\(584\) 2.43446e8 + 6.20291e8i 0.0505776 + 0.128870i
\(585\) −1.01904e10 + 6.94768e9i −2.10448 + 1.43481i
\(586\) 2.43486e9 + 1.17257e9i 0.499841 + 0.240711i
\(587\) 3.08198e9 + 2.85966e9i 0.628921 + 0.583554i 0.928872 0.370401i \(-0.120780\pi\)
−0.299951 + 0.953955i \(0.596970\pi\)
\(588\) 7.82133e8 1.17888e8i 0.158657 0.0239137i
\(589\) −4.62657e8 + 6.17372e9i −0.0932943 + 1.24493i
\(590\) −2.95317e9 + 7.52456e9i −0.591979 + 1.50834i
\(591\) −1.32611e9 5.81006e9i −0.264255 1.15778i
\(592\) −2.28844e8 3.05371e9i −0.0453329 0.604925i
\(593\) 2.53694e9 + 7.82542e8i 0.499595 + 0.154105i 0.534303 0.845293i \(-0.320574\pi\)
−0.0347081 + 0.999397i \(0.511050\pi\)
\(594\) −1.35463e10 + 6.52353e9i −2.65196 + 1.27712i
\(595\) 4.25998e9 7.37850e9i 0.829084 1.43601i
\(596\) 3.65381e8 + 6.32858e8i 0.0706942 + 0.122446i
\(597\) −5.30817e9 3.61905e9i −1.02102 0.696120i
\(598\) −8.79677e8 + 3.85411e9i −0.168217 + 0.737005i
\(599\) 2.81776e9 + 4.24708e8i 0.535685 + 0.0807415i 0.411313 0.911494i \(-0.365070\pi\)
0.124372 + 0.992236i \(0.460308\pi\)
\(600\) 1.53671e9 + 1.92698e9i 0.290444 + 0.364206i
\(601\) −4.37885e9 −0.822810 −0.411405 0.911453i \(-0.634962\pi\)
−0.411405 + 0.911453i \(0.634962\pi\)
\(602\) 1.68220e9 + 3.38629e9i 0.314261 + 0.632611i
\(603\) −6.56467e8 −0.121928
\(604\) −6.35035e8 7.96309e8i −0.117265 0.147046i
\(605\) 3.82116e9 + 5.75947e8i 0.701538 + 0.105740i
\(606\) 2.16557e9 9.48800e9i 0.395293 1.73189i
\(607\) −1.51012e9 1.02958e9i −0.274063 0.186853i 0.418487 0.908223i \(-0.362560\pi\)
−0.692550 + 0.721370i \(0.743513\pi\)
\(608\) −1.92345e9 3.33151e9i −0.347071 0.601144i
\(609\) −3.18737e9 + 5.52069e9i −0.571837 + 0.990451i
\(610\) 2.31200e9 1.11340e9i 0.412414 0.198608i
\(611\) −1.06752e9 3.29287e8i −0.189336 0.0584023i
\(612\) 5.39486e8 + 7.19894e9i 0.0951371 + 1.26952i
\(613\) 2.31736e9 + 1.01530e10i 0.406332 + 1.78026i 0.600853 + 0.799359i \(0.294828\pi\)
−0.194521 + 0.980898i \(0.562315\pi\)
\(614\) −4.57403e8 + 1.16544e9i −0.0797462 + 0.203190i
\(615\) 1.40441e8 1.87406e9i 0.0243462 0.324878i
\(616\) 6.69084e9 1.00848e9i 1.15332 0.173834i
\(617\) 1.02049e9 + 9.46880e8i 0.174909 + 0.162292i 0.762770 0.646670i \(-0.223839\pi\)
−0.587860 + 0.808962i \(0.700030\pi\)
\(618\) −1.46969e10 7.07766e9i −2.50476 1.20623i
\(619\) 4.60345e8 3.13858e8i 0.0780128 0.0531882i −0.523686 0.851912i \(-0.675443\pi\)
0.601698 + 0.798723i \(0.294491\pi\)
\(620\) −6.99509e8 1.78232e9i −0.117875 0.300341i
\(621\) −1.49720e10 + 4.61824e9i −2.50875 + 0.773848i
\(622\) 1.43355e9 1.33014e9i 0.238862 0.221632i
\(623\) 4.65851e9 5.84159e9i 0.771861 0.967883i
\(624\) 4.11249e9 5.15690e9i 0.677577 0.849654i
\(625\) 5.26715e9 4.88720e9i 0.862969 0.800719i
\(626\) 8.25866e9 2.54746e9i 1.34555 0.415047i
\(627\) 6.67791e9 + 1.70150e10i 1.08194 + 2.75674i
\(628\) 8.87363e8 6.04994e8i 0.142969 0.0974748i
\(629\) 9.71038e9 + 4.67627e9i 1.55582 + 0.749243i
\(630\) −8.88536e9 8.24441e9i −1.41574 1.31361i
\(631\) −2.80093e9 + 4.22172e8i −0.443813 + 0.0668940i −0.367147 0.930163i \(-0.619665\pi\)
−0.0766655 + 0.997057i \(0.524427\pi\)
\(632\) 4.86128e8 6.48693e9i 0.0766022 1.02218i
\(633\) 2.48672e9 6.33605e9i 0.389685 0.992901i
\(634\) 2.24514e9 + 9.83660e9i 0.349889 + 1.53297i
\(635\) 9.40661e7 + 1.25523e9i 0.0145789 + 0.194542i
\(636\) 4.69576e8 + 1.44845e8i 0.0723779 + 0.0223256i
\(637\) 1.63026e9 7.85092e8i 0.249902 0.120346i
\(638\) 2.59536e9 4.49530e9i 0.395663 0.685309i
\(639\) −1.22740e9 2.12592e9i −0.186094 0.322325i
\(640\) −2.22746e9 1.51866e9i −0.335877 0.228997i
\(641\) −4.34582e7 + 1.90403e8i −0.00651731 + 0.0285542i −0.978082 0.208220i \(-0.933233\pi\)
0.971565 + 0.236774i \(0.0760902\pi\)
\(642\) −1.24699e10 1.87953e9i −1.85990 0.280334i
\(643\) −3.38362e9 4.24293e9i −0.501931 0.629401i 0.464733 0.885451i \(-0.346150\pi\)
−0.966664 + 0.256050i \(0.917579\pi\)
\(644\) 1.58303e9 0.233555
\(645\) 5.94906e9 1.27509e10i 0.872949 1.87103i
\(646\) −1.28014e10 −1.86829
\(647\) 4.30183e9 + 5.39433e9i 0.624437 + 0.783019i 0.988961 0.148175i \(-0.0473399\pi\)
−0.364525 + 0.931194i \(0.618768\pi\)
\(648\) 1.94403e10 + 2.93015e9i 2.80666 + 0.423036i
\(649\) 3.43900e9 1.50673e10i 0.493829 2.16360i
\(650\) 1.04588e9 + 7.13072e8i 0.149378 + 0.101844i
\(651\) 5.51681e9 + 9.55539e9i 0.783708 + 1.35742i
\(652\) 3.98290e8 6.89858e8i 0.0562772 0.0974750i
\(653\) −1.27569e10 + 6.14338e9i −1.79286 + 0.863398i −0.852944 + 0.522002i \(0.825185\pi\)
−0.939920 + 0.341396i \(0.889100\pi\)
\(654\) 1.24813e10 + 3.84996e9i 1.74476 + 0.538188i
\(655\) −2.07258e8 2.76567e9i −0.0288182 0.384553i
\(656\) 1.59102e8 + 6.97071e8i 0.0220045 + 0.0964082i
\(657\) −8.33789e8 + 2.12446e9i −0.114704 + 0.292260i
\(658\) 8.20473e7 1.09484e9i 0.0112273 0.149817i
\(659\) 2.21932e9 3.34508e8i 0.302079 0.0455311i 0.00374621 0.999993i \(-0.498808\pi\)
0.298333 + 0.954462i \(0.403569\pi\)
\(660\) −4.14389e9 3.84497e9i −0.561053 0.520582i
\(661\) −6.79304e9 3.27135e9i −0.914869 0.440578i −0.0836323 0.996497i \(-0.526652\pi\)
−0.831236 + 0.555919i \(0.812366\pi\)
\(662\) 2.50488e9 1.70780e9i 0.335570 0.228788i
\(663\) 8.48118e9 + 2.16097e10i 1.13021 + 2.87973i
\(664\) −5.81965e9 + 1.79513e9i −0.771452 + 0.237961i
\(665\) −6.41995e9 + 5.95685e9i −0.846557 + 0.785490i
\(666\) 9.56001e9 1.19879e10i 1.25400 1.57247i
\(667\) 3.37259e9 4.22909e9i 0.440071 0.551831i
\(668\) −1.22970e9 + 1.14100e9i −0.159618 + 0.148104i
\(669\) −6.26332e9 + 1.93198e9i −0.808748 + 0.249466i
\(670\) 1.31528e8 + 3.35127e8i 0.0168949 + 0.0430474i
\(671\) −4.05374e9 + 2.76379e9i −0.517996 + 0.353164i
\(672\) −6.17696e9 2.97467e9i −0.785204 0.378134i
\(673\) 1.02305e10 + 9.49248e9i 1.29373 + 1.20040i 0.966853 + 0.255334i \(0.0821854\pi\)
0.326873 + 0.945068i \(0.394005\pi\)
\(674\) −1.71671e9 + 2.58753e8i −0.215967 + 0.0325518i
\(675\) −3.74918e8 + 5.00293e9i −0.0469216 + 0.626125i
\(676\) 1.12261e8 2.86036e8i 0.0139771 0.0356129i
\(677\) −2.40511e9 1.05375e10i −0.297903 1.30520i −0.873243 0.487285i \(-0.837987\pi\)
0.575340 0.817915i \(-0.304870\pi\)
\(678\) 1.14186e9 + 1.52371e10i 0.140705 + 1.87757i
\(679\) 1.56042e9 + 4.81324e8i 0.191292 + 0.0590057i
\(680\) 1.58882e10 7.65134e9i 1.93773 0.933160i
\(681\) −4.19046e9 + 7.25810e9i −0.508449 + 0.880659i
\(682\) −4.49214e9 7.78062e9i −0.542261 0.939223i
\(683\) 7.88179e9 + 5.37372e9i 0.946570 + 0.645360i 0.935028 0.354573i \(-0.115374\pi\)
0.0115415 + 0.999933i \(0.496326\pi\)
\(684\) 1.65126e9 7.23463e9i 0.197296 0.864411i
\(685\) −9.33208e9 1.40658e9i −1.10933 0.167205i
\(686\) 4.83262e9 + 6.05991e9i 0.571542 + 0.716691i
\(687\) −9.90820e9 −1.16586
\(688\) −7.32899e8 + 5.30279e9i −0.0857994 + 0.620790i
\(689\) 1.12417e9 0.130937
\(690\) 9.01416e9 + 1.13034e10i 1.04461 + 1.30990i
\(691\) 1.51743e10 + 2.28715e9i 1.74958 + 0.263707i 0.944277 0.329152i \(-0.106763\pi\)
0.805306 + 0.592859i \(0.202001\pi\)
\(692\) 4.55272e8 1.99468e9i 0.0522276 0.228824i
\(693\) 1.91477e10 + 1.30547e10i 2.18550 + 1.49005i
\(694\) −4.23186e9 7.32980e9i −0.480588 0.832404i
\(695\) −5.40816e9 + 9.36721e9i −0.611087 + 1.05843i
\(696\) −1.18877e10 + 5.72483e9i −1.33649 + 0.643621i
\(697\) −2.40465e9 7.41735e8i −0.268990 0.0829725i
\(698\) 9.28147e8 + 1.23853e10i 0.103305 + 1.37851i
\(699\) −6.74545e9 2.95538e10i −0.747035 3.27297i
\(700\) 1.85189e8 4.71853e8i 0.0204066 0.0519953i
\(701\) 5.94821e8 7.93733e9i 0.0652188 0.870285i −0.864646 0.502382i \(-0.832457\pi\)
0.929864 0.367902i \(-0.119924\pi\)
\(702\) 1.94092e10 2.92546e9i 2.11752 0.319164i
\(703\) −8.12121e9 7.53538e9i −0.881611 0.818015i
\(704\) 1.17230e10 + 5.64550e9i 1.26629 + 0.609815i
\(705\) −3.37569e9 + 2.30151e9i −0.362828 + 0.247372i
\(706\) −3.41555e9 8.70267e9i −0.365295 0.930757i
\(707\) −8.51908e9 + 2.62779e9i −0.906619 + 0.279655i
\(708\) −6.46522e9 + 5.99885e9i −0.684647 + 0.635260i
\(709\) 9.81460e8 1.23071e9i 0.103422 0.129686i −0.727427 0.686185i \(-0.759284\pi\)
0.830849 + 0.556498i \(0.187855\pi\)
\(710\) −8.39366e8 + 1.05253e9i −0.0880131 + 0.110365i
\(711\) 1.63321e10 1.51540e10i 1.70412 1.58119i
\(712\) 1.47777e10 4.55833e9i 1.53436 0.473288i
\(713\) −3.42048e9 8.71524e9i −0.353406 0.900464i
\(714\) −1.88503e10 + 1.28519e10i −1.93810 + 1.32137i
\(715\) −1.16512e10 5.61093e9i −1.19207 0.574069i
\(716\) 5.95651e8 + 5.52684e8i 0.0606452 + 0.0562705i
\(717\) −6.51046e9 + 9.81294e8i −0.659621 + 0.0994219i
\(718\) −9.49282e8 + 1.26673e10i −0.0957105 + 1.27717i
\(719\) 9.24039e8 2.35441e9i 0.0927127 0.236228i −0.876994 0.480502i \(-0.840454\pi\)
0.969706 + 0.244274i \(0.0785496\pi\)
\(720\) −3.81861e9 1.67304e10i −0.381278 1.67049i
\(721\) 1.11671e9 + 1.49014e10i 0.110960 + 1.48066i
\(722\) 4.42859e9 + 1.36604e9i 0.437910 + 0.135077i
\(723\) −4.85350e8 + 2.33732e8i −0.0477608 + 0.0230004i
\(724\) −8.59741e8 + 1.48911e9i −0.0841943 + 0.145829i
\(725\) −8.66023e8 1.50000e9i −0.0844008 0.146186i
\(726\) −8.54976e9 5.82913e9i −0.829232 0.565361i
\(727\) 1.30890e9 5.73465e9i 0.126338 0.553524i −0.871650 0.490128i \(-0.836950\pi\)
0.997988 0.0633954i \(-0.0201929\pi\)
\(728\) −8.73487e9 1.31657e9i −0.839067 0.126469i
\(729\) 8.87422e9 + 1.11279e10i 0.848367 + 1.06382i
\(730\) 1.25159e9 0.119079
\(731\) −1.48731e10 1.15655e10i −1.40829 1.09510i
\(732\) 2.79986e9 0.263845
\(733\) 3.58545e9 + 4.49601e9i 0.336263 + 0.421661i 0.921000 0.389562i \(-0.127374\pi\)
−0.584737 + 0.811223i \(0.698802\pi\)
\(734\) −1.25443e10 1.89076e9i −1.17088 0.176481i
\(735\) 1.47252e9 6.45154e9i 0.136791 0.599319i
\(736\) 4.80664e9 + 3.27711e9i 0.444395 + 0.302983i
\(737\) −3.44160e8 5.96102e8i −0.0316682 0.0548510i
\(738\) −1.79003e9 + 3.10042e9i −0.163932 + 0.283938i
\(739\) −5.05358e9 + 2.43368e9i −0.460621 + 0.221823i −0.649779 0.760123i \(-0.725139\pi\)
0.189158 + 0.981947i \(0.439424\pi\)
\(740\) 3.27402e9 + 1.00990e9i 0.297009 + 0.0916152i
\(741\) −1.78325e9 2.37959e10i −0.161009 2.14851i
\(742\) 2.45843e8 + 1.07711e9i 0.0220924 + 0.0967932i
\(743\) −2.66443e9 + 6.78886e9i −0.238311 + 0.607206i −0.999128 0.0417607i \(-0.986703\pi\)
0.760817 + 0.648967i \(0.224799\pi\)
\(744\) −1.70663e9 + 2.27734e10i −0.151927 + 2.02732i
\(745\) 6.04547e9 9.11208e8i 0.535652 0.0807366i
\(746\) 1.37772e10 + 1.27834e10i 1.21500 + 1.12735i
\(747\) −1.87930e10 9.05023e9i −1.64958 0.794397i
\(748\) −6.25414e9 + 4.26400e9i −0.546401 + 0.372530i
\(749\) 4.22051e9 + 1.07537e10i 0.367010 + 0.935127i
\(750\) −1.47899e10 + 4.56208e9i −1.28012 + 0.394865i
\(751\) −7.04711e9 + 6.53876e9i −0.607116 + 0.563321i −0.922672 0.385586i \(-0.873999\pi\)
0.315556 + 0.948907i \(0.397809\pi\)
\(752\)