Properties

Label 43.8.g.a.9.8
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 9.8
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.35832 - 7.97308i) q^{2} +(-51.9023 - 7.82301i) q^{3} +(5.34089 - 23.4000i) q^{4} +(-119.077 - 81.1857i) q^{5} +(267.638 + 463.562i) q^{6} +(-639.426 + 1107.52i) q^{7} +(-1396.60 + 672.566i) q^{8} +(542.807 + 167.434i) q^{9} +O(q^{10})\) \(q+(-6.35832 - 7.97308i) q^{2} +(-51.9023 - 7.82301i) q^{3} +(5.34089 - 23.4000i) q^{4} +(-119.077 - 81.1857i) q^{5} +(267.638 + 463.562i) q^{6} +(-639.426 + 1107.52i) q^{7} +(-1396.60 + 672.566i) q^{8} +(542.807 + 167.434i) q^{9} +(109.833 + 1465.62i) q^{10} +(-1897.71 - 8314.43i) q^{11} +(-460.263 + 1172.73i) q^{12} +(-777.239 + 10371.5i) q^{13} +(12896.0 - 1943.76i) q^{14} +(5545.27 + 5145.26i) q^{15} +(11474.5 + 5525.81i) q^{16} +(13557.1 - 9243.06i) q^{17} +(-2116.38 - 5392.44i) q^{18} +(15757.4 - 4860.50i) q^{19} +(-2535.72 + 2352.81i) q^{20} +(41851.8 - 52480.5i) q^{21} +(-54225.3 + 67996.4i) q^{22} +(34949.4 - 32428.3i) q^{23} +(77748.1 - 23982.1i) q^{24} +(-20953.9 - 53389.7i) q^{25} +(87635.0 - 59748.5i) q^{26} +(76561.3 + 36870.0i) q^{27} +(22500.8 + 20877.7i) q^{28} +(-197489. + 29766.6i) q^{29} +(5764.97 - 76928.1i) q^{30} +(25635.1 - 65317.2i) q^{31} +(15250.6 + 66817.4i) q^{32} +(33451.8 + 446383. i) q^{33} +(-159896. - 49321.3i) q^{34} +(166056. - 79968.3i) q^{35} +(6817.02 - 11807.4i) q^{36} +(-11693.9 - 20254.5i) q^{37} +(-138944. - 94730.1i) q^{38} +(121477. - 532225. i) q^{39} +(220906. + 33296.2i) q^{40} +(343566. + 430818. i) q^{41} -684538. q^{42} +(-31124.4 + 520432. i) q^{43} -204693. q^{44} +(-51042.9 - 64005.7i) q^{45} +(-480773. - 72464.9i) q^{46} +(-243658. + 1.06754e6i) q^{47} +(-552322. - 376567. i) q^{48} +(-405961. - 703144. i) q^{49} +(-292449. + 506536. i) q^{50} +(-775951. + 373678. i) q^{51} +(238542. + 73580.6i) q^{52} +(-134712. - 1.79761e6i) q^{53} +(-192834. - 844860. i) q^{54} +(-449037. + 1.14413e6i) q^{55} +(148142. - 1.97682e6i) q^{56} +(-855866. + 129001. i) q^{57} +(1.49303e6 + 1.38533e6i) q^{58} +(1.93800e6 + 933290. i) q^{59} +(150016. - 102279. i) q^{60} +(267187. + 680781. i) q^{61} +(-683775. + 210917. i) q^{62} +(-532521. + 494107. i) q^{63} +(1.45217e6 - 1.82096e6i) q^{64} +(934571. - 1.17192e6i) q^{65} +(3.34635e6 - 3.10496e6i) q^{66} +(-1.30943e6 + 403905. i) q^{67} +(-143880. - 366601. i) q^{68} +(-2.06764e6 + 1.40969e6i) q^{69} +(-1.69343e6 - 815513. i) q^{70} +(3.76758e6 + 3.49581e6i) q^{71} +(-870693. + 131236. i) q^{72} +(17935.0 - 239326. i) q^{73} +(-87136.9 + 222021. i) q^{74} +(669888. + 2.93497e6i) q^{75} +(-29577.3 - 394681. i) q^{76} +(1.04218e7 + 3.21471e6i) q^{77} +(-5.01586e6 + 2.41551e6i) q^{78} +(-1.48443e6 + 2.57110e6i) q^{79} +(-917734. - 1.58956e6i) q^{80} +(-4.71171e6 - 3.21239e6i) q^{81} +(1.25044e6 - 5.47856e6i) q^{82} +(-4.42373e6 - 666770. i) q^{83} +(-1.00452e6 - 1.25962e6i) q^{84} -2.36475e6 q^{85} +(4.34735e6 - 3.06092e6i) q^{86} +1.04830e7 q^{87} +(8.24235e6 + 1.03356e7i) q^{88} +(121197. + 18267.5i) q^{89} +(-185776. + 813938. i) q^{90} +(-1.09897e7 - 7.49263e6i) q^{91} +(-572161. - 991011. i) q^{92} +(-1.84150e6 + 3.18957e6i) q^{93} +(1.00608e7 - 4.84503e6i) q^{94} +(-2.27095e6 - 700496. i) q^{95} +(-268829. - 3.58728e6i) q^{96} +(1.41501e6 + 6.19956e6i) q^{97} +(-3.02500e6 + 7.70757e6i) q^{98} +(362024. - 4.83087e6i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.35832 7.97308i −0.562001 0.704727i 0.416925 0.908941i \(-0.363108\pi\)
−0.978926 + 0.204213i \(0.934536\pi\)
\(3\) −51.9023 7.82301i −1.10984 0.167282i −0.431561 0.902084i \(-0.642037\pi\)
−0.678282 + 0.734801i \(0.737275\pi\)
\(4\) 5.34089 23.4000i 0.0417257 0.182812i
\(5\) −119.077 81.1857i −0.426025 0.290459i 0.331265 0.943538i \(-0.392525\pi\)
−0.757290 + 0.653079i \(0.773477\pi\)
\(6\) 267.638 + 463.562i 0.505845 + 0.876150i
\(7\) −639.426 + 1107.52i −0.704608 + 1.22042i 0.262225 + 0.965007i \(0.415544\pi\)
−0.966833 + 0.255410i \(0.917790\pi\)
\(8\) −1396.60 + 672.566i −0.964398 + 0.464430i
\(9\) 542.807 + 167.434i 0.248197 + 0.0765586i
\(10\) 109.833 + 1465.62i 0.0347322 + 0.463469i
\(11\) −1897.71 8314.43i −0.429889 1.88347i −0.467179 0.884163i \(-0.654730\pi\)
0.0372903 0.999304i \(-0.488127\pi\)
\(12\) −460.263 + 1172.73i −0.0768903 + 0.195913i
\(13\) −777.239 + 10371.5i −0.0981189 + 1.30931i 0.703167 + 0.711024i \(0.251768\pi\)
−0.801286 + 0.598281i \(0.795851\pi\)
\(14\) 12896.0 1943.76i 1.25605 0.189319i
\(15\) 5545.27 + 5145.26i 0.424232 + 0.393630i
\(16\) 11474.5 + 5525.81i 0.700346 + 0.337269i
\(17\) 13557.1 9243.06i 0.669260 0.456294i −0.180422 0.983589i \(-0.557746\pi\)
0.849682 + 0.527296i \(0.176794\pi\)
\(18\) −2116.38 5392.44i −0.0855341 0.217937i
\(19\) 15757.4 4860.50i 0.527043 0.162571i −0.0198039 0.999804i \(-0.506304\pi\)
0.546847 + 0.837233i \(0.315828\pi\)
\(20\) −2535.72 + 2352.81i −0.0708756 + 0.0657630i
\(21\) 41851.8 52480.5i 0.986158 1.23660i
\(22\) −54225.3 + 67996.4i −1.08573 + 1.36147i
\(23\) 34949.4 32428.3i 0.598952 0.555747i −0.321347 0.946962i \(-0.604136\pi\)
0.920299 + 0.391215i \(0.127945\pi\)
\(24\) 77748.1 23982.1i 1.14802 0.354118i
\(25\) −20953.9 53389.7i −0.268210 0.683389i
\(26\) 87635.0 59748.5i 0.977846 0.666684i
\(27\) 76561.3 + 36870.0i 0.748576 + 0.360495i
\(28\) 22500.8 + 20877.7i 0.193707 + 0.179734i
\(29\) −197489. + 29766.6i −1.50366 + 0.226640i −0.848639 0.528972i \(-0.822578\pi\)
−0.655019 + 0.755612i \(0.727339\pi\)
\(30\) 5764.97 76928.1i 0.0389828 0.520189i
\(31\) 25635.1 65317.2i 0.154550 0.393787i −0.832537 0.553969i \(-0.813113\pi\)
0.987088 + 0.160182i \(0.0512080\pi\)
\(32\) 15250.6 + 66817.4i 0.0822740 + 0.360466i
\(33\) 33451.8 + 446383.i 0.162039 + 2.16227i
\(34\) −159896. 49321.3i −0.697687 0.215208i
\(35\) 166056. 79968.3i 0.654661 0.315268i
\(36\) 6817.02 11807.4i 0.0243521 0.0421790i
\(37\) −11693.9 20254.5i −0.0379538 0.0657378i 0.846425 0.532509i \(-0.178751\pi\)
−0.884378 + 0.466771i \(0.845417\pi\)
\(38\) −138944. 94730.1i −0.410767 0.280056i
\(39\) 121477. 532225.i 0.327920 1.43671i
\(40\) 220906. + 33296.2i 0.545755 + 0.0822593i
\(41\) 343566. + 430818.i 0.778514 + 0.976226i 0.999999 + 0.00106196i \(0.000338032\pi\)
−0.221485 + 0.975164i \(0.571091\pi\)
\(42\) −684538. −1.42569
\(43\) −31124.4 + 520432.i −0.0596983 + 0.998216i
\(44\) −204693. −0.362259
\(45\) −51042.9 64005.7i −0.0835009 0.104707i
\(46\) −480773. 72464.9i −0.728262 0.109768i
\(47\) −243658. + 1.06754e6i −0.342325 + 1.49982i 0.451828 + 0.892105i \(0.350772\pi\)
−0.794153 + 0.607718i \(0.792085\pi\)
\(48\) −552322. 376567.i −0.720855 0.491471i
\(49\) −405961. 703144.i −0.492944 0.853804i
\(50\) −292449. + 506536.i −0.330868 + 0.573081i
\(51\) −775951. + 373678.i −0.819103 + 0.394459i
\(52\) 238542. + 73580.6i 0.235263 + 0.0725691i
\(53\) −134712. 1.79761e6i −0.124292 1.65856i −0.615964 0.787775i \(-0.711233\pi\)
0.491672 0.870780i \(-0.336386\pi\)
\(54\) −192834. 844860.i −0.166650 0.730141i
\(55\) −449037. + 1.14413e6i −0.363926 + 0.927268i
\(56\) 148142. 1.97682e6i 0.112725 1.50421i
\(57\) −855866. + 129001.i −0.612131 + 0.0922638i
\(58\) 1.49303e6 + 1.38533e6i 1.00478 + 0.932297i
\(59\) 1.93800e6 + 933290.i 1.22849 + 0.591608i 0.931663 0.363324i \(-0.118358\pi\)
0.296825 + 0.954932i \(0.404072\pi\)
\(60\) 150016. 102279.i 0.0896618 0.0611304i
\(61\) 267187. + 680781.i 0.150716 + 0.384019i 0.986214 0.165475i \(-0.0529157\pi\)
−0.835498 + 0.549494i \(0.814820\pi\)
\(62\) −683775. + 210917.i −0.364370 + 0.112393i
\(63\) −532521. + 494107.i −0.268315 + 0.248960i
\(64\) 1.45217e6 1.82096e6i 0.692446 0.868300i
\(65\) 934571. 1.17192e6i 0.422100 0.529297i
\(66\) 3.34635e6 3.10496e6i 1.43274 1.32939i
\(67\) −1.30943e6 + 403905.i −0.531887 + 0.164065i −0.549054 0.835787i \(-0.685012\pi\)
0.0171663 + 0.999853i \(0.494536\pi\)
\(68\) −143880. 366601.i −0.0554908 0.141388i
\(69\) −2.06764e6 + 1.40969e6i −0.757710 + 0.516598i
\(70\) −1.69343e6 815513.i −0.590098 0.284176i
\(71\) 3.76758e6 + 3.49581e6i 1.24928 + 1.15916i 0.980619 + 0.195923i \(0.0627703\pi\)
0.268657 + 0.963236i \(0.413420\pi\)
\(72\) −870693. + 131236.i −0.274917 + 0.0414370i
\(73\) 17935.0 239326.i 0.00539599 0.0720045i −0.993856 0.110684i \(-0.964696\pi\)
0.999252 + 0.0386791i \(0.0123150\pi\)
\(74\) −87136.9 + 222021.i −0.0249972 + 0.0636918i
\(75\) 669888. + 2.93497e6i 0.183353 + 0.803321i
\(76\) −29577.3 394681.i −0.00772878 0.103133i
\(77\) 1.04218e7 + 3.21471e6i 2.60152 + 0.802462i
\(78\) −5.01586e6 + 2.41551e6i −1.19678 + 0.576339i
\(79\) −1.48443e6 + 2.57110e6i −0.338738 + 0.586711i −0.984196 0.177085i \(-0.943333\pi\)
0.645458 + 0.763796i \(0.276667\pi\)
\(80\) −917734. 1.58956e6i −0.200402 0.347106i
\(81\) −4.71171e6 3.21239e6i −0.985102 0.671632i
\(82\) 1.25044e6 5.47856e6i 0.250447 1.09728i
\(83\) −4.42373e6 666770.i −0.849210 0.127998i −0.290003 0.957026i \(-0.593656\pi\)
−0.559207 + 0.829028i \(0.688894\pi\)
\(84\) −1.00452e6 1.25962e6i −0.184918 0.231880i
\(85\) −2.36475e6 −0.417656
\(86\) 4.34735e6 3.06092e6i 0.737021 0.518928i
\(87\) 1.04830e7 1.70674
\(88\) 8.24235e6 + 1.03356e7i 1.28932 + 1.61676i
\(89\) 121197. + 18267.5i 0.0182232 + 0.00274671i 0.158148 0.987415i \(-0.449448\pi\)
−0.139924 + 0.990162i \(0.544686\pi\)
\(90\) −185776. + 813938.i −0.0268621 + 0.117691i
\(91\) −1.09897e7 7.49263e6i −1.52876 1.04229i
\(92\) −572161. 991011.i −0.0766056 0.132685i
\(93\) −1.84150e6 + 3.18957e6i −0.237400 + 0.411189i
\(94\) 1.00608e7 4.84503e6i 1.24935 0.601657i
\(95\) −2.27095e6 700496.i −0.271753 0.0838248i
\(96\) −268829. 3.58728e6i −0.0310118 0.413824i
\(97\) 1.41501e6 + 6.19956e6i 0.157419 + 0.689699i 0.990611 + 0.136714i \(0.0436541\pi\)
−0.833191 + 0.552985i \(0.813489\pi\)
\(98\) −3.02500e6 + 7.70757e6i −0.324664 + 0.827230i
\(99\) 362024. 4.83087e6i 0.0374985 0.500383i
\(100\) −1.36123e6 + 205173.i −0.136123 + 0.0205173i
\(101\) −4.93757e6 4.58139e6i −0.476857 0.442459i 0.404761 0.914423i \(-0.367355\pi\)
−0.881618 + 0.471964i \(0.843545\pi\)
\(102\) 7.91311e6 + 3.81075e6i 0.738324 + 0.355558i
\(103\) 8.62412e6 5.87982e6i 0.777650 0.530193i −0.108220 0.994127i \(-0.534515\pi\)
0.885870 + 0.463934i \(0.153563\pi\)
\(104\) −5.89005e6 1.50076e7i −0.513455 1.30826i
\(105\) −9.24427e6 + 2.85148e6i −0.779310 + 0.240385i
\(106\) −1.34759e7 + 1.25038e7i −1.09898 + 1.01970i
\(107\) 1.20729e7 1.51390e7i 0.952730 1.19469i −0.0280576 0.999606i \(-0.508932\pi\)
0.980787 0.195079i \(-0.0624964\pi\)
\(108\) 1.27166e6 1.59461e6i 0.0971379 0.121807i
\(109\) −8.05861e6 + 7.47730e6i −0.596029 + 0.553034i −0.919443 0.393223i \(-0.871360\pi\)
0.323414 + 0.946258i \(0.395169\pi\)
\(110\) 1.19774e7 3.69452e6i 0.857998 0.264657i
\(111\) 448491. + 1.14274e6i 0.0311260 + 0.0793077i
\(112\) −1.34570e7 + 9.17483e6i −0.905077 + 0.617071i
\(113\) −3.78651e6 1.82349e6i −0.246868 0.118885i 0.306359 0.951916i \(-0.400889\pi\)
−0.553226 + 0.833031i \(0.686604\pi\)
\(114\) 6.47041e6 + 6.00366e6i 0.409039 + 0.379533i
\(115\) −6.79440e6 + 1.02409e6i −0.416590 + 0.0627908i
\(116\) −358227. + 4.78021e6i −0.0213086 + 0.284344i
\(117\) −2.15843e6 + 5.49960e6i −0.124591 + 0.317454i
\(118\) −4.88120e6 2.13859e7i −0.273489 1.19823i
\(119\) 1.56811e6 + 2.09250e7i 0.0853025 + 1.13828i
\(120\) −1.12050e7 3.45630e6i −0.591942 0.182590i
\(121\) −4.79711e7 + 2.31017e7i −2.46167 + 1.18548i
\(122\) 3.72906e6 6.45893e6i 0.185926 0.322033i
\(123\) −1.44615e7 2.50481e7i −0.700724 1.21369i
\(124\) −1.39151e6 948713.i −0.0655405 0.0446847i
\(125\) −4.34479e6 + 1.90358e7i −0.198968 + 0.871736i
\(126\) 7.32550e6 + 1.10414e6i 0.326242 + 0.0491731i
\(127\) 2.58062e7 + 3.23599e7i 1.11792 + 1.40183i 0.905341 + 0.424684i \(0.139615\pi\)
0.212579 + 0.977144i \(0.431814\pi\)
\(128\) −1.49794e7 −0.631335
\(129\) 5.68677e6 2.67681e7i 0.233239 1.09788i
\(130\) −1.52861e7 −0.610231
\(131\) 3.25300e6 + 4.07913e6i 0.126426 + 0.158533i 0.841016 0.541011i \(-0.181958\pi\)
−0.714590 + 0.699543i \(0.753387\pi\)
\(132\) 1.06240e7 + 1.60131e6i 0.402050 + 0.0605993i
\(133\) −4.69257e6 + 2.05595e7i −0.172954 + 0.757761i
\(134\) 1.15461e7 + 7.87201e6i 0.414543 + 0.282631i
\(135\) −6.12341e6 1.06061e7i −0.214203 0.371010i
\(136\) −1.27172e7 + 2.20269e7i −0.433517 + 0.750873i
\(137\) −7.88450e6 + 3.79697e6i −0.261970 + 0.126158i −0.560259 0.828317i \(-0.689298\pi\)
0.298289 + 0.954476i \(0.403584\pi\)
\(138\) 2.43863e7 + 7.52218e6i 0.789895 + 0.243650i
\(139\) 403474. + 5.38399e6i 0.0127428 + 0.170041i 0.999944 + 0.0105623i \(0.00336214\pi\)
−0.987201 + 0.159478i \(0.949019\pi\)
\(140\) −984370. 4.31281e6i −0.0303187 0.132835i
\(141\) 2.09977e7 5.35014e7i 0.630821 1.60730i
\(142\) 3.91685e6 5.22667e7i 0.114796 1.53185i
\(143\) 8.77083e7 1.32199e7i 2.50821 0.378052i
\(144\) 5.30321e6 + 4.92066e6i 0.148003 + 0.137327i
\(145\) 2.59331e7 + 1.24887e7i 0.706425 + 0.340196i
\(146\) −2.02220e6 + 1.37871e6i −0.0537761 + 0.0366639i
\(147\) 1.55696e7 + 3.96706e7i 0.404265 + 1.03005i
\(148\) −536411. + 165461.i −0.0136013 + 0.00419546i
\(149\) 4.06587e7 3.77258e7i 1.00694 0.934300i 0.00909416 0.999959i \(-0.497105\pi\)
0.997842 + 0.0656583i \(0.0209147\pi\)
\(150\) 1.91414e7 2.40026e7i 0.463078 0.580681i
\(151\) 1.78571e7 2.23922e7i 0.422078 0.529269i −0.524644 0.851322i \(-0.675801\pi\)
0.946722 + 0.322053i \(0.104373\pi\)
\(152\) −1.87377e7 + 1.73860e7i −0.432776 + 0.401558i
\(153\) 8.90647e6 2.74728e6i 0.201041 0.0620131i
\(154\) −4.06342e7 1.03534e8i −0.896539 2.28434i
\(155\) −8.35538e6 + 5.69660e6i −0.180221 + 0.122873i
\(156\) −1.18053e7 5.68512e6i −0.248966 0.119896i
\(157\) −3.29669e7 3.05888e7i −0.679876 0.630833i 0.262679 0.964883i \(-0.415394\pi\)
−0.942555 + 0.334050i \(0.891584\pi\)
\(158\) 2.99381e7 4.51244e6i 0.603843 0.0910147i
\(159\) −7.07084e6 + 9.43539e7i −0.139502 + 1.86153i
\(160\) 3.60861e6 9.19458e6i 0.0696497 0.177465i
\(161\) 1.35674e7 + 5.94426e7i 0.256216 + 1.12255i
\(162\) 4.34592e6 + 5.79923e7i 0.0803118 + 1.07169i
\(163\) −2.13187e7 6.57596e6i −0.385571 0.118933i 0.0959085 0.995390i \(-0.469424\pi\)
−0.481480 + 0.876457i \(0.659901\pi\)
\(164\) 1.19161e7 5.73848e6i 0.210950 0.101588i
\(165\) 3.22566e7 5.58700e7i 0.559016 0.968245i
\(166\) 2.28113e7 + 3.95103e7i 0.387054 + 0.670396i
\(167\) 1.71382e7 + 1.16846e7i 0.284746 + 0.194136i 0.697267 0.716812i \(-0.254399\pi\)
−0.412521 + 0.910948i \(0.635352\pi\)
\(168\) −2.31535e7 + 1.01442e8i −0.376734 + 1.65058i
\(169\) −4.49168e7 6.77012e6i −0.715823 0.107893i
\(170\) 1.50358e7 + 1.88543e7i 0.234723 + 0.294333i
\(171\) 9.36702e6 0.143257
\(172\) 1.20119e7 + 3.50788e6i 0.179995 + 0.0525649i
\(173\) −5.08898e7 −0.747256 −0.373628 0.927579i \(-0.621886\pi\)
−0.373628 + 0.927579i \(0.621886\pi\)
\(174\) −6.66541e7 8.35816e7i −0.959189 1.20279i
\(175\) 7.25286e7 + 1.09319e7i 1.02300 + 0.154193i
\(176\) 2.41687e7 1.05890e8i 0.334163 1.46407i
\(177\) −9.32852e7 6.36008e7i −1.26446 0.862097i
\(178\) −624959. 1.08246e6i −0.00830581 0.0143861i
\(179\) −1.75923e7 + 3.04707e7i −0.229264 + 0.397097i −0.957590 0.288134i \(-0.906965\pi\)
0.728326 + 0.685231i \(0.240299\pi\)
\(180\) −1.77035e6 + 852554.i −0.0226258 + 0.0108960i
\(181\) −1.05802e7 3.26356e6i −0.132623 0.0409088i 0.227733 0.973724i \(-0.426869\pi\)
−0.360356 + 0.932815i \(0.617345\pi\)
\(182\) 1.01365e7 + 1.35262e8i 0.124634 + 1.66313i
\(183\) −8.54185e6 3.74243e7i −0.103032 0.451414i
\(184\) −2.70001e7 + 6.87951e7i −0.319523 + 0.814132i
\(185\) −251890. + 3.36123e6i −0.00292489 + 0.0390299i
\(186\) 3.71395e7 5.59788e6i 0.423195 0.0637864i
\(187\) −1.02578e8 9.51786e7i −1.14712 1.06437i
\(188\) 2.36790e7 + 1.14032e7i 0.259902 + 0.125162i
\(189\) −8.97895e7 + 6.12174e7i −0.967407 + 0.659567i
\(190\) 8.85432e6 + 2.25604e7i 0.0936522 + 0.238622i
\(191\) −742473. + 229023.i −0.00771017 + 0.00237827i −0.298608 0.954376i \(-0.596522\pi\)
0.290898 + 0.956754i \(0.406046\pi\)
\(192\) −8.96160e7 + 8.31515e7i −0.913758 + 0.847844i
\(193\) 6.14586e7 7.70667e7i 0.615364 0.771642i −0.372320 0.928104i \(-0.621438\pi\)
0.987684 + 0.156462i \(0.0500090\pi\)
\(194\) 4.04325e7 5.07007e7i 0.397580 0.498549i
\(195\) −5.76742e7 + 5.35139e7i −0.557007 + 0.516827i
\(196\) −1.86218e7 + 5.74405e6i −0.176654 + 0.0544907i
\(197\) 3.16676e7 + 8.06878e7i 0.295110 + 0.751928i 0.999128 + 0.0417459i \(0.0132920\pi\)
−0.704018 + 0.710182i \(0.748613\pi\)
\(198\) −4.08188e7 + 2.78298e7i −0.373707 + 0.254789i
\(199\) 5.55700e7 + 2.67611e7i 0.499867 + 0.240723i 0.666789 0.745247i \(-0.267668\pi\)
−0.166921 + 0.985970i \(0.553383\pi\)
\(200\) 6.51723e7 + 6.04711e7i 0.576048 + 0.534494i
\(201\) 7.11220e7 1.07199e7i 0.617757 0.0931119i
\(202\) −5.13318e6 + 6.84976e7i −0.0438185 + 0.584717i
\(203\) 9.33124e7 2.37756e8i 0.782894 1.99478i
\(204\) 4.59979e6 + 2.01530e7i 0.0379344 + 0.166201i
\(205\) −5.93472e6 7.91933e7i −0.0481129 0.642022i
\(206\) −1.01715e8 3.13750e7i −0.810682 0.250062i
\(207\) 2.44004e7 1.17506e7i 0.191205 0.0920797i
\(208\) −6.62295e7 + 1.14713e8i −0.510305 + 0.883874i
\(209\) −7.03153e7 1.21790e8i −0.532767 0.922780i
\(210\) 8.15131e7 + 5.55747e7i 0.607379 + 0.414104i
\(211\) 1.26743e6 5.55295e6i 0.00928825 0.0406945i −0.970071 0.242820i \(-0.921928\pi\)
0.979360 + 0.202125i \(0.0647848\pi\)
\(212\) −4.27835e7 6.44858e6i −0.308391 0.0464824i
\(213\) −1.68198e8 2.10914e8i −1.19259 1.49547i
\(214\) −1.97468e8 −1.37736
\(215\) 4.59579e7 5.94449e7i 0.315374 0.407925i
\(216\) −1.31723e8 −0.889350
\(217\) 5.59483e7 + 7.01569e7i 0.371687 + 0.466081i
\(218\) 1.10856e8 + 1.67089e7i 0.724708 + 0.109232i
\(219\) −2.80312e6 + 1.22812e7i −0.0180338 + 0.0790111i
\(220\) 2.43743e7 + 1.66181e7i 0.154331 + 0.105221i
\(221\) 8.53275e7 + 1.47792e8i 0.531761 + 0.921036i
\(222\) 6.25948e6 1.08417e7i 0.0383975 0.0665064i
\(223\) 1.76366e8 8.49336e7i 1.06500 0.512876i 0.182507 0.983205i \(-0.441579\pi\)
0.882491 + 0.470328i \(0.155865\pi\)
\(224\) −8.37531e7 2.58344e7i −0.497890 0.153579i
\(225\) −2.43469e6 3.24887e7i −0.0142497 0.190149i
\(226\) 9.53703e6 + 4.17844e7i 0.0549583 + 0.240788i
\(227\) −8.41809e7 + 2.14489e8i −0.477665 + 1.21707i 0.465590 + 0.885000i \(0.345842\pi\)
−0.943255 + 0.332069i \(0.892253\pi\)
\(228\) −1.55247e6 + 2.07162e7i −0.00867462 + 0.115755i
\(229\) 1.69709e7 2.55795e6i 0.0933858 0.0140756i −0.102183 0.994766i \(-0.532583\pi\)
0.195569 + 0.980690i \(0.437345\pi\)
\(230\) 5.13661e7 + 4.76608e7i 0.278374 + 0.258294i
\(231\) −5.15768e8 2.48381e8i −2.75304 1.32579i
\(232\) 2.55792e8 1.74396e8i 1.34487 0.916915i
\(233\) 5.71650e7 + 1.45654e8i 0.296063 + 0.754356i 0.999068 + 0.0431712i \(0.0137461\pi\)
−0.703005 + 0.711185i \(0.748159\pi\)
\(234\) 5.75728e7 1.77588e7i 0.293739 0.0906065i
\(235\) 1.15683e8 1.07338e8i 0.581475 0.539530i
\(236\) 3.21896e7 4.03645e7i 0.159413 0.199897i
\(237\) 9.71588e7 1.21833e8i 0.474092 0.594493i
\(238\) 1.56866e8 1.45550e8i 0.754239 0.699832i
\(239\) −7.92509e7 + 2.44457e7i −0.375501 + 0.115827i −0.476760 0.879033i \(-0.658189\pi\)
0.101259 + 0.994860i \(0.467713\pi\)
\(240\) 3.51973e7 + 8.96812e7i 0.164350 + 0.418757i
\(241\) −7.99396e7 + 5.45019e7i −0.367877 + 0.250814i −0.733122 0.680097i \(-0.761938\pi\)
0.365245 + 0.930911i \(0.380985\pi\)
\(242\) 4.89207e8 + 2.35590e8i 2.21890 + 1.06857i
\(243\) 8.31849e7 + 7.71843e7i 0.371897 + 0.345070i
\(244\) 1.73573e7 2.61619e6i 0.0764922 0.0115294i
\(245\) −8.74447e6 + 1.16687e8i −0.0379885 + 0.506921i
\(246\) −1.07760e8 + 2.74567e8i −0.461512 + 1.17591i
\(247\) 3.81636e7 + 1.67206e8i 0.161143 + 0.706012i
\(248\) 8.12819e6 + 1.08463e8i 0.0338386 + 0.451545i
\(249\) 2.24385e8 + 6.92137e7i 0.921079 + 0.284115i
\(250\) 1.79399e8 8.63941e7i 0.726157 0.349699i
\(251\) 5.20428e7 9.01407e7i 0.207731 0.359801i −0.743268 0.668994i \(-0.766725\pi\)
0.951000 + 0.309192i \(0.100059\pi\)
\(252\) 8.71796e6 + 1.51000e7i 0.0343173 + 0.0594393i
\(253\) −3.35947e8 2.29045e8i −1.30421 0.889198i
\(254\) 9.39244e7 4.11510e8i 0.359634 1.57566i
\(255\) 1.22736e8 + 1.84994e7i 0.463532 + 0.0698663i
\(256\) −9.06333e7 1.13651e8i −0.337635 0.423381i
\(257\) −3.61235e7 −0.132747 −0.0663733 0.997795i \(-0.521143\pi\)
−0.0663733 + 0.997795i \(0.521143\pi\)
\(258\) −2.49583e8 + 1.24859e8i −0.904785 + 0.452639i
\(259\) 2.99096e7 0.106970
\(260\) −2.24313e7 2.81280e7i −0.0791496 0.0992504i
\(261\) −1.12182e8 1.69087e7i −0.390555 0.0588667i
\(262\) 1.18396e7 5.18729e7i 0.0406709 0.178191i
\(263\) 3.75082e8 + 2.55727e8i 1.27140 + 0.866824i 0.995537 0.0943744i \(-0.0300851\pi\)
0.275860 + 0.961198i \(0.411037\pi\)
\(264\) −3.46941e8 6.00920e8i −1.16049 2.01003i
\(265\) −1.29899e8 + 2.24992e8i −0.428790 + 0.742687i
\(266\) 1.93760e8 9.33097e7i 0.631215 0.303977i
\(267\) −6.14748e6 1.89625e6i −0.0197655 0.00609684i
\(268\) 2.45785e6 + 3.27978e7i 0.00779982 + 0.104081i
\(269\) 2.20627e7 + 9.66630e7i 0.0691075 + 0.302780i 0.997656 0.0684318i \(-0.0217996\pi\)
−0.928548 + 0.371212i \(0.878942\pi\)
\(270\) −4.56284e7 + 1.16259e8i −0.141079 + 0.359463i
\(271\) 7.38851e6 9.85928e7i 0.0225509 0.300921i −0.974512 0.224335i \(-0.927979\pi\)
0.997063 0.0765860i \(-0.0244020\pi\)
\(272\) 2.06635e8 3.11453e7i 0.622607 0.0938428i
\(273\) 5.11774e8 + 4.74857e8i 1.52233 + 1.41252i
\(274\) 8.04057e7 + 3.87214e7i 0.236135 + 0.113717i
\(275\) −4.04141e8 + 2.75538e8i −1.17184 + 0.798947i
\(276\) 2.19437e7 + 5.59117e7i 0.0628245 + 0.160074i
\(277\) 5.19709e7 1.60309e7i 0.146920 0.0453188i −0.220423 0.975404i \(-0.570744\pi\)
0.367343 + 0.930086i \(0.380268\pi\)
\(278\) 4.03616e7 3.74501e7i 0.112671 0.104543i
\(279\) 2.48512e7 3.11624e7i 0.0685067 0.0859046i
\(280\) −1.78129e8 + 2.23367e8i −0.484934 + 0.608088i
\(281\) 3.21643e8 2.98441e8i 0.864773 0.802392i −0.116864 0.993148i \(-0.537284\pi\)
0.981638 + 0.190755i \(0.0610937\pi\)
\(282\) −5.60081e8 + 1.72762e8i −1.48723 + 0.458751i
\(283\) 1.70812e8 + 4.35222e8i 0.447988 + 1.14145i 0.959383 + 0.282108i \(0.0910336\pi\)
−0.511395 + 0.859346i \(0.670871\pi\)
\(284\) 1.01924e8 6.94906e7i 0.264036 0.180016i
\(285\) 1.12387e8 + 5.41230e7i 0.287581 + 0.138492i
\(286\) −6.63081e8 6.15249e8i −1.67604 1.55514i
\(287\) −6.96824e8 + 1.05029e8i −1.73995 + 0.262255i
\(288\) −2.90934e6 + 3.88224e7i −0.00717662 + 0.0957654i
\(289\) −5.15534e7 + 1.31356e8i −0.125636 + 0.320116i
\(290\) −6.53173e7 2.86174e8i −0.157266 0.689028i
\(291\) −2.49430e7 3.32841e8i −0.0593366 0.791791i
\(292\) −5.50443e6 1.69789e6i −0.0129382 0.00399090i
\(293\) 2.09758e8 1.01014e8i 0.487172 0.234610i −0.174139 0.984721i \(-0.555714\pi\)
0.661312 + 0.750111i \(0.270000\pi\)
\(294\) 2.17301e8 3.76376e8i 0.498707 0.863786i
\(295\) −1.55002e8 2.68471e8i −0.351528 0.608865i
\(296\) 2.99542e7 + 2.04224e7i 0.0671331 + 0.0457706i
\(297\) 1.61261e8 7.06532e8i 0.357176 1.56489i
\(298\) −5.59312e8 8.43027e7i −1.22433 0.184538i
\(299\) 3.09167e8 + 3.87683e8i 0.668874 + 0.838741i
\(300\) 7.22561e7 0.154508
\(301\) −5.56487e8 3.67249e8i −1.17618 0.776208i
\(302\) −2.92076e8 −0.610199
\(303\) 2.20431e8 + 2.76411e8i 0.455221 + 0.570830i
\(304\) 2.07665e8 + 3.13005e7i 0.423942 + 0.0638990i
\(305\) 2.34537e7 1.02757e8i 0.0473328 0.207379i
\(306\) −7.85345e7 5.35439e7i −0.156688 0.106828i
\(307\) −6.76257e6 1.17131e7i −0.0133391 0.0231040i 0.859279 0.511508i \(-0.170913\pi\)
−0.872618 + 0.488403i \(0.837579\pi\)
\(308\) 1.30886e8 2.26701e8i 0.255250 0.442106i
\(309\) −4.93609e8 + 2.37710e8i −0.951762 + 0.458344i
\(310\) 9.85457e7 + 3.03973e7i 0.187876 + 0.0579521i
\(311\) −3.70930e7 4.94971e8i −0.0699246 0.933079i −0.916300 0.400493i \(-0.868839\pi\)
0.846375 0.532587i \(-0.178780\pi\)
\(312\) 1.88302e8 + 8.25006e8i 0.351006 + 1.53786i
\(313\) −3.39938e8 + 8.66147e8i −0.626605 + 1.59656i 0.165520 + 0.986206i \(0.447070\pi\)
−0.792126 + 0.610358i \(0.791026\pi\)
\(314\) −3.42730e7 + 4.57342e8i −0.0624739 + 0.833656i
\(315\) 1.03526e8 1.56040e7i 0.186621 0.0281286i
\(316\) 5.22356e7 + 4.84675e7i 0.0931240 + 0.0864065i
\(317\) 2.85657e7 + 1.37565e7i 0.0503660 + 0.0242550i 0.458897 0.888489i \(-0.348245\pi\)
−0.408531 + 0.912744i \(0.633959\pi\)
\(318\) 7.97250e8 5.43556e8i 1.39027 0.947871i
\(319\) 6.22270e8 + 1.58552e9i 1.07328 + 2.73466i
\(320\) −3.20756e8 + 9.89401e7i −0.547205 + 0.168790i
\(321\) −7.45045e8 + 6.91301e8i −1.25723 + 1.16654i
\(322\) 3.87675e8 4.86129e8i 0.647101 0.811439i
\(323\) 1.68698e8 2.11540e8i 0.278548 0.349289i
\(324\) −1.00335e8 + 9.30970e7i −0.163887 + 0.152065i
\(325\) 5.70019e8 1.75828e8i 0.921081 0.284116i
\(326\) 8.31207e7 + 2.11788e8i 0.132876 + 0.338563i
\(327\) 4.76755e8 3.25046e8i 0.754012 0.514077i
\(328\) −7.69577e8 3.70609e8i −1.20419 0.579905i
\(329\) −1.02651e9 9.52467e8i −1.58920 1.47457i
\(330\) −6.50554e8 + 9.80552e7i −0.996516 + 0.150201i
\(331\) 3.15106e7 4.20480e8i 0.0477595 0.637306i −0.921041 0.389465i \(-0.872660\pi\)
0.968801 0.247841i \(-0.0797210\pi\)
\(332\) −3.92291e7 + 9.99540e7i −0.0588335 + 0.149905i
\(333\) −2.95626e6 1.29522e7i −0.00438721 0.0192216i
\(334\) −1.58077e7 2.10939e8i −0.0232143 0.309773i
\(335\) 1.88715e8 + 5.82107e7i 0.274251 + 0.0845953i
\(336\) 7.70224e8 3.70920e8i 1.10772 0.533449i
\(337\) −6.03280e8 + 1.04491e9i −0.858646 + 1.48722i 0.0145742 + 0.999894i \(0.495361\pi\)
−0.873221 + 0.487325i \(0.837973\pi\)
\(338\) 2.31617e8 + 4.01172e8i 0.326258 + 0.565096i
\(339\) 1.82263e8 + 1.24265e8i 0.254097 + 0.173241i
\(340\) −1.26299e7 + 5.53350e7i −0.0174270 + 0.0763526i
\(341\) −5.91723e8 8.91879e7i −0.808125 0.121805i
\(342\) −5.95585e7 7.46840e7i −0.0805105 0.100957i
\(343\) −1.48628e7 −0.0198871
\(344\) −3.06557e8 7.47768e8i −0.406029 0.990404i
\(345\) 3.60656e8 0.472853
\(346\) 3.23574e8 + 4.05748e8i 0.419959 + 0.526612i
\(347\) −3.02141e8 4.55404e7i −0.388201 0.0585118i −0.0479576 0.998849i \(-0.515271\pi\)
−0.340243 + 0.940338i \(0.610509\pi\)
\(348\) 5.59884e7 2.45301e8i 0.0712149 0.312013i
\(349\) 1.04029e9 + 7.09257e8i 1.30998 + 0.893130i 0.998370 0.0570798i \(-0.0181789\pi\)
0.311611 + 0.950210i \(0.399131\pi\)
\(350\) −3.73999e8 6.47785e8i −0.466265 0.807594i
\(351\) −4.41904e8 + 7.65401e8i −0.545448 + 0.944744i
\(352\) 5.26607e8 2.53600e8i 0.643557 0.309921i
\(353\) −1.53960e9 4.74903e8i −1.86293 0.574637i −0.997256 0.0740251i \(-0.976416\pi\)
−0.865672 0.500612i \(-0.833108\pi\)
\(354\) 8.60430e7 + 1.14816e9i 0.103087 + 1.37560i
\(355\) −1.64825e8 7.22145e8i −0.195535 0.856693i
\(356\) 1.07476e6 2.73844e6i 0.00126251 0.00321683i
\(357\) 8.23077e7 1.09832e9i 0.0957419 1.27759i
\(358\) 3.54802e8 5.34778e7i 0.408692 0.0616004i
\(359\) 5.74931e8 + 5.33458e8i 0.655821 + 0.608512i 0.936238 0.351366i \(-0.114283\pi\)
−0.280418 + 0.959878i \(0.590473\pi\)
\(360\) 1.14334e8 + 5.50606e7i 0.129157 + 0.0621988i
\(361\) −5.13881e8 + 3.50358e8i −0.574894 + 0.391956i
\(362\) 4.12516e7 + 1.05107e8i 0.0457047 + 0.116454i
\(363\) 2.67053e9 8.23750e8i 2.93038 0.903904i
\(364\) −2.34022e8 + 2.17141e8i −0.254333 + 0.235986i
\(365\) −2.15655e7 + 2.70423e7i −0.0232132 + 0.0291084i
\(366\) −2.44075e8 + 3.06060e8i −0.260219 + 0.326305i
\(367\) −6.47024e8 + 6.00351e8i −0.683265 + 0.633978i −0.943424 0.331588i \(-0.892416\pi\)
0.260159 + 0.965566i \(0.416225\pi\)
\(368\) 5.80218e8 1.78974e8i 0.606909 0.187207i
\(369\) 1.14356e8 + 2.91375e8i 0.118486 + 0.301898i
\(370\) 2.84010e7 1.93635e7i 0.0291493 0.0198736i
\(371\) 2.07703e9 + 1.00024e9i 2.11170 + 1.01694i
\(372\) 6.48005e7 + 6.01261e7i 0.0652647 + 0.0605568i
\(373\) 1.21771e9 1.83540e8i 1.21496 0.183126i 0.489882 0.871789i \(-0.337040\pi\)
0.725082 + 0.688662i \(0.241802\pi\)
\(374\) −1.06642e8 + 1.42304e9i −0.105409 + 1.40659i
\(375\) 3.74421e8 9.54009e8i 0.366649 0.934207i
\(376\) −3.77696e8 1.65479e9i −0.366425 1.60541i
\(377\) −1.55230e8 2.07140e9i −0.149204 1.99099i
\(378\) 1.05900e9 + 3.26659e8i 1.00850 + 0.311081i
\(379\) −4.23795e7 + 2.04089e7i −0.0399870 + 0.0192567i −0.453770 0.891119i \(-0.649921\pi\)
0.413783 + 0.910375i \(0.364207\pi\)
\(380\) −2.85205e7 + 4.93989e7i −0.0266633 + 0.0461822i
\(381\) −1.08625e9 1.88144e9i −1.00622 1.74282i
\(382\) 6.54690e6 + 4.46360e6i 0.00600916 + 0.00409698i
\(383\) −4.31533e8 + 1.89067e9i −0.392481 + 1.71957i 0.263382 + 0.964692i \(0.415162\pi\)
−0.655863 + 0.754880i \(0.727695\pi\)
\(384\) 7.77465e8 + 1.17184e8i 0.700683 + 0.105611i
\(385\) −9.80018e8 1.22890e9i −0.875228 1.09750i
\(386\) −1.00523e9 −0.889633
\(387\) −1.04032e8 + 2.77283e8i −0.0912390 + 0.243184i
\(388\) 1.52627e8 0.132654
\(389\) 1.87694e8 + 2.35361e8i 0.161669 + 0.202727i 0.856067 0.516864i \(-0.172901\pi\)
−0.694398 + 0.719591i \(0.744329\pi\)
\(390\) 7.93382e8 + 1.19583e8i 0.677261 + 0.102081i
\(391\) 1.74075e8 7.62672e8i 0.147271 0.645237i
\(392\) 1.03987e9 + 7.08974e8i 0.871926 + 0.594469i
\(393\) −1.36927e8 2.37165e8i −0.113793 0.197095i
\(394\) 4.41977e8 7.65527e8i 0.364052 0.630556i
\(395\) 3.85498e8 1.85646e8i 0.314726 0.151564i
\(396\) −1.11109e8 3.42725e7i −0.0899115 0.0277340i
\(397\) 1.02588e8 + 1.36894e9i 0.0822866 + 1.09804i 0.873605 + 0.486635i \(0.161776\pi\)
−0.791319 + 0.611404i \(0.790605\pi\)
\(398\) −1.39963e8 6.13220e8i −0.111282 0.487557i
\(399\) 4.04392e8 1.03037e9i 0.318712 0.812064i
\(400\) 5.45865e7 7.28406e8i 0.0426457 0.569067i
\(401\) 6.70359e8 1.01040e8i 0.519161 0.0782510i 0.115765 0.993277i \(-0.463068\pi\)
0.403396 + 0.915026i \(0.367830\pi\)
\(402\) −5.37687e8 4.98901e8i −0.412799 0.383021i
\(403\) 6.57514e8 + 3.16642e8i 0.500423 + 0.240991i
\(404\) −1.33576e8 + 9.10703e7i −0.100784 + 0.0687135i
\(405\) 3.00259e8 + 7.65047e8i 0.224597 + 0.572263i
\(406\) −2.48896e9 + 7.67742e8i −1.84576 + 0.569343i
\(407\) −1.46213e8 + 1.35666e8i −0.107499 + 0.0997446i
\(408\) 8.32368e8 1.04376e9i 0.606743 0.760832i
\(409\) −8.50718e8 + 1.06677e9i −0.614829 + 0.770971i −0.987607 0.156950i \(-0.949834\pi\)
0.372778 + 0.927921i \(0.378405\pi\)
\(410\) −5.93680e8 + 5.50855e8i −0.425411 + 0.394724i
\(411\) 4.38927e8 1.35391e8i 0.311850 0.0961930i
\(412\) −9.15273e7 2.33208e8i −0.0644778 0.164287i
\(413\) −2.27284e9 + 1.54960e9i −1.58761 + 1.08241i
\(414\) −2.48834e8 1.19832e8i −0.172349 0.0829988i
\(415\) 4.72634e8 + 4.38541e8i 0.324606 + 0.301191i
\(416\) −7.04851e8 + 1.06239e8i −0.480033 + 0.0723533i
\(417\) 2.11778e7 2.82598e8i 0.0143022 0.190850i
\(418\) −5.23952e8 + 1.33501e9i −0.350893 + 0.894060i
\(419\) 782479. + 3.42826e6i 0.000519665 + 0.00227680i 0.975187 0.221382i \(-0.0710569\pi\)
−0.974667 + 0.223659i \(0.928200\pi\)
\(420\) 1.73519e7 + 2.31545e8i 0.0114281 + 0.152498i
\(421\) −1.59121e8 4.90822e7i −0.103930 0.0320580i 0.242354 0.970188i \(-0.422080\pi\)
−0.346284 + 0.938130i \(0.612557\pi\)
\(422\) −5.23328e7 + 2.52022e7i −0.0338985 + 0.0163247i
\(423\) −3.11001e8 + 5.38669e8i −0.199788 + 0.346044i
\(424\) 1.39715e9 + 2.41994e9i 0.890149 + 1.54178i
\(425\) −7.77558e8 5.30130e8i −0.491328 0.334982i
\(426\) −6.12176e8 + 2.68212e9i −0.383656 + 1.68091i
\(427\) −9.24824e8 1.39395e8i −0.574859 0.0866461i
\(428\) −2.89772e8 3.63362e8i −0.178650 0.224020i
\(429\) −4.65568e9 −2.84697
\(430\) −7.66174e8 + 1.15441e7i −0.464716 + 0.00700197i
\(431\) −2.71692e9 −1.63458 −0.817290 0.576226i \(-0.804525\pi\)
−0.817290 + 0.576226i \(0.804525\pi\)
\(432\) 6.74763e8 + 8.46126e8i 0.402678 + 0.504943i
\(433\) −6.09826e8 9.19165e7i −0.360993 0.0544109i −0.0339580 0.999423i \(-0.510811\pi\)
−0.327035 + 0.945012i \(0.606049\pi\)
\(434\) 2.03630e8 8.92160e8i 0.119571 0.523876i
\(435\) −1.24829e9 8.51067e8i −0.727113 0.495737i
\(436\) 1.31928e8 + 2.28507e8i 0.0762317 + 0.132037i
\(437\) 3.93093e8 6.80856e8i 0.225325 0.390275i
\(438\) 1.15742e8 5.57386e7i 0.0658163 0.0316955i
\(439\) 2.27739e9 + 7.02480e8i 1.28473 + 0.396286i 0.860583 0.509309i \(-0.170099\pi\)
0.424143 + 0.905595i \(0.360575\pi\)
\(440\) −1.42377e8 1.89989e9i −0.0796814 1.06327i
\(441\) −1.02628e8 4.49643e8i −0.0569811 0.249651i
\(442\) 6.35815e8 1.62003e9i 0.350229 0.892370i
\(443\) 1.79937e8 2.40109e9i 0.0983348 1.31219i −0.701803 0.712371i \(-0.747621\pi\)
0.800138 0.599816i \(-0.204760\pi\)
\(444\) 2.91353e7 4.39145e6i 0.0157972 0.00238104i
\(445\) −1.29487e7 1.20147e7i −0.00696575 0.00646327i
\(446\) −1.79858e9 8.66149e8i −0.959968 0.462296i
\(447\) −2.40541e9 + 1.63998e9i −1.27383 + 0.868485i
\(448\) 1.08819e9 + 2.77267e9i 0.571785 + 1.45688i
\(449\) 8.88804e8 2.74160e8i 0.463387 0.142936i −0.0542662 0.998527i \(-0.517282\pi\)
0.517653 + 0.855591i \(0.326806\pi\)
\(450\) −2.43555e8 + 2.25986e8i −0.125995 + 0.116906i
\(451\) 2.93001e9 3.67412e9i 1.50401 1.88597i
\(452\) −6.28929e7 + 7.88652e7i −0.0320344 + 0.0401699i
\(453\) −1.10200e9 + 1.02251e9i −0.556978 + 0.516800i
\(454\) 2.24539e9 6.92611e8i 1.12615 0.347371i
\(455\) 7.00329e8 + 1.78441e9i 0.348548 + 0.888085i
\(456\) 1.10854e9 7.55789e8i 0.547488 0.373271i
\(457\) 1.56296e9 + 7.52682e8i 0.766022 + 0.368897i 0.775737 0.631056i \(-0.217378\pi\)
−0.00971495 + 0.999953i \(0.503092\pi\)
\(458\) −1.28301e8 1.19046e8i −0.0624024 0.0579010i
\(459\) 1.37874e9 2.07811e8i 0.665484 0.100306i
\(460\) −1.23245e7 + 1.64458e8i −0.00590358 + 0.0787778i
\(461\) 6.51578e8 1.66019e9i 0.309751 0.789233i −0.688216 0.725506i \(-0.741606\pi\)
0.997967 0.0637275i \(-0.0202988\pi\)
\(462\) 1.29906e9 + 5.69154e9i 0.612889 + 2.68524i
\(463\) −1.23108e8 1.64276e9i −0.0576437 0.769202i −0.948875 0.315653i \(-0.897777\pi\)
0.891231 0.453550i \(-0.149842\pi\)
\(464\) −2.43056e9 7.49729e8i −1.12952 0.348410i
\(465\) 4.78228e8 2.30302e8i 0.220572 0.106222i
\(466\) 7.97838e8 1.38190e9i 0.365228 0.632593i
\(467\) −6.97675e7 1.20841e8i −0.0316989 0.0549041i 0.849741 0.527201i \(-0.176758\pi\)
−0.881440 + 0.472297i \(0.843425\pi\)
\(468\) 1.17163e8 + 7.98801e7i 0.0528358 + 0.0360229i
\(469\) 3.89950e8 1.70848e9i 0.174544 0.764726i
\(470\) −1.59136e9 2.39859e8i −0.707012 0.106565i
\(471\) 1.47176e9 + 1.84553e9i 0.649029 + 0.813857i
\(472\) −3.33430e9 −1.45951
\(473\) 4.38616e9 7.28850e8i 1.90577 0.316683i
\(474\) −1.58915e9 −0.685396
\(475\) −5.89680e8 7.39435e8i −0.252458 0.316572i
\(476\) 4.98019e8 + 7.50643e7i 0.211652 + 0.0319013i
\(477\) 2.27858e8 9.98310e8i 0.0961279 0.421164i
\(478\) 6.98810e8 + 4.76441e8i 0.292659 + 0.199531i
\(479\) 6.26871e8 + 1.08577e9i 0.260618 + 0.451403i 0.966406 0.257020i \(-0.0827405\pi\)
−0.705789 + 0.708423i \(0.749407\pi\)
\(480\) −2.59224e8 + 4.48989e8i −0.106987 + 0.185307i
\(481\) 2.19159e8 1.05541e8i 0.0897949 0.0432429i
\(482\) 9.42830e8 + 2.90825e8i 0.383503 + 0.118295i
\(483\) −2.39158e8 3.19134e9i −0.0965762 1.28872i
\(484\) 2.84370e8 + 1.24591e9i 0.114005 + 0.499490i
\(485\) 3.34819e8 8.53106e8i 0.133265 0.339553i
\(486\) 8.64805e7 1.15400e9i 0.0341736 0.456015i
\(487\) 2.55654e9 3.85337e8i 1.00300 0.151178i 0.373049 0.927812i \(-0.378312\pi\)
0.629953 + 0.776634i \(0.283074\pi\)
\(488\) −8.31023e8 7.71077e8i −0.323701 0.300350i
\(489\) 1.05505e9 + 5.08084e8i 0.408029 + 0.196496i
\(490\) 9.85954e8 6.72212e8i 0.378591 0.258119i
\(491\) 3.28647e8 + 8.37380e8i 0.125298 + 0.319255i 0.979734 0.200302i \(-0.0641923\pi\)
−0.854436 + 0.519557i \(0.826097\pi\)
\(492\) −6.63364e8 + 2.04621e8i −0.251116 + 0.0774589i
\(493\) −2.40223e9 + 2.22895e9i −0.902924 + 0.837791i
\(494\) 1.09049e9 1.36743e9i 0.406983 0.510341i
\(495\) −4.35306e8 + 5.45857e8i −0.161316 + 0.202284i
\(496\) 6.55079e8 6.07825e8i 0.241051 0.223662i
\(497\) −6.28076e9 + 1.93736e9i −2.29491 + 0.707885i
\(498\) −8.74867e8 2.22912e9i −0.317424 0.808782i
\(499\) 2.48588e9 1.69484e9i 0.895629 0.610629i −0.0255907 0.999673i \(-0.508147\pi\)
0.921220 + 0.389043i \(0.127194\pi\)
\(500\) 4.22231e8 + 2.03336e8i 0.151062 + 0.0727476i
\(501\) −7.98102e8 7.40530e8i −0.283548 0.263094i
\(502\) −1.04960e9 + 1.58202e8i −0.370307 + 0.0558148i
\(503\) −1.01176e8 + 1.35010e9i −0.0354478 + 0.473018i 0.951027 + 0.309107i \(0.100030\pi\)
−0.986475 + 0.163911i \(0.947589\pi\)
\(504\) 4.11398e8 1.04822e9i 0.143138 0.364710i
\(505\) 2.16010e8 + 9.46400e8i 0.0746369 + 0.327006i
\(506\) 3.09866e8 + 4.13487e9i 0.106328 + 1.41885i
\(507\) 2.27832e9 + 7.02769e8i 0.776403 + 0.239489i
\(508\) 8.95050e8 4.31034e8i 0.302918 0.145877i
\(509\) 1.76503e9 3.05712e9i 0.593253 1.02754i −0.400538 0.916280i \(-0.631177\pi\)
0.993791 0.111264i \(-0.0354898\pi\)
\(510\) −6.32895e8 1.09621e9i −0.211269 0.365929i
\(511\) 2.53590e8 + 1.72895e8i 0.0840734 + 0.0573203i
\(512\) −7.56523e8 + 3.31454e9i −0.249102 + 1.09139i
\(513\) 1.38561e9 + 2.08847e8i 0.453138 + 0.0682996i
\(514\) 2.29685e8 + 2.88015e8i 0.0746038 + 0.0935502i
\(515\) −1.50430e9 −0.485297
\(516\) −5.96001e8 2.76036e8i −0.190974 0.0884488i
\(517\) 9.33835e9 2.97203
\(518\) −1.90175e8 2.38472e8i −0.0601173 0.0753847i
\(519\) 2.64129e9 + 3.98111e8i 0.829337 + 0.125002i
\(520\) −5.17030e8 + 2.26525e9i −0.161251 + 0.706489i
\(521\) −1.55297e9 1.05880e9i −0.481095 0.328005i 0.298371 0.954450i \(-0.403557\pi\)
−0.779466 + 0.626445i \(0.784509\pi\)
\(522\) 5.78475e8 + 1.00195e9i 0.178007 + 0.308318i
\(523\) −5.86063e8 + 1.01509e9i −0.179138 + 0.310276i −0.941586 0.336774i \(-0.890664\pi\)
0.762447 + 0.647050i \(0.223998\pi\)
\(524\) 1.12826e8 5.43340e7i 0.0342569 0.0164973i
\(525\) −3.67888e9 1.13478e9i −1.10958 0.342260i
\(526\) −3.45963e8 4.61655e9i −0.103652 1.38314i
\(527\) −2.56193e8 1.12246e9i −0.0762484 0.334066i
\(528\) −2.08279e9 + 5.30686e9i −0.615781 + 1.56898i
\(529\) −8.45773e7 + 1.12861e9i −0.0248404 + 0.331472i
\(530\) 2.61982e9 3.94874e8i 0.764373 0.115211i
\(531\) 8.95693e8 + 8.31082e8i 0.259614 + 0.240887i
\(532\) 4.56030e8 + 2.19612e8i 0.131311 + 0.0632362i
\(533\) −4.73527e9 + 3.22845e9i −1.35456 + 0.923526i
\(534\) 2.39687e7 + 6.10712e7i 0.00681161 + 0.0173557i
\(535\) −2.66668e9 + 8.22563e8i −0.752893 + 0.232237i
\(536\) 1.55709e9 1.44477e9i 0.436754 0.405249i
\(537\) 1.15145e9 1.44387e9i 0.320874 0.402364i
\(538\) 6.30420e8 7.90522e8i 0.174539 0.218865i
\(539\) −5.07585e9 + 4.70970e9i −1.39620 + 1.29548i
\(540\) −2.80886e8 + 8.66419e7i −0.0767631 + 0.0236783i
\(541\) −8.35886e8 2.12980e9i −0.226964 0.578294i 0.771346 0.636416i \(-0.219584\pi\)
−0.998309 + 0.0581222i \(0.981489\pi\)
\(542\) −8.33067e8 + 5.67976e8i −0.224741 + 0.153226i
\(543\) 5.23605e8 + 2.52155e8i 0.140347 + 0.0675878i
\(544\) 8.24350e8 + 7.64885e8i 0.219541 + 0.203704i
\(545\) 1.56665e9 2.36134e8i 0.414557 0.0624844i
\(546\) 5.32050e8 7.09971e9i 0.139887 1.86666i
\(547\) −8.59319e8 + 2.18951e9i −0.224491 + 0.571993i −0.998096 0.0616742i \(-0.980356\pi\)
0.773606 + 0.633667i \(0.218451\pi\)
\(548\) 4.67389e7 + 2.04776e8i 0.0121324 + 0.0531555i
\(549\) 3.10452e7 + 4.14269e8i 0.00800738 + 0.106851i
\(550\) 4.76655e9 + 1.47028e9i 1.22161 + 0.376818i
\(551\) −2.96722e9 + 1.42894e9i −0.755647 + 0.363901i
\(552\) 1.93955e9 3.35940e9i 0.490811 0.850109i
\(553\) −1.89836e9 3.28806e9i −0.477355 0.826803i
\(554\) −4.58263e8 3.12439e8i −0.114507 0.0780694i
\(555\) 3.93686e7 1.72485e8i 0.00977518 0.0428278i
\(556\) 1.28140e8 + 1.93140e7i 0.0316172 + 0.00476553i
\(557\) 2.13663e9 + 2.67924e9i 0.523884 + 0.656930i 0.971429 0.237332i \(-0.0762728\pi\)
−0.447544 + 0.894262i \(0.647701\pi\)
\(558\) −4.06473e8 −0.0990402
\(559\) −5.37349e9 7.27308e8i −1.30111 0.176107i
\(560\) 2.34729e9 0.564819
\(561\) 4.57946e9 + 5.74246e9i 1.09507 + 1.37318i
\(562\) −4.42461e9 6.66902e8i −1.05147 0.158484i
\(563\) −1.43282e8 + 6.27761e8i −0.0338387 + 0.148257i −0.989025 0.147748i \(-0.952797\pi\)
0.955186 + 0.296005i \(0.0956546\pi\)
\(564\) −1.13978e9 7.77092e8i −0.267514 0.182388i
\(565\) 3.02847e8 + 5.24546e8i 0.0706405 + 0.122353i
\(566\) 2.38398e9 4.12918e9i 0.552644 0.957208i
\(567\) 6.57058e9 3.16422e9i 1.51378 0.728998i
\(568\) −7.61296e9 2.34829e9i −1.74315 0.537690i
\(569\) 2.16049e8 + 2.88298e9i 0.0491654 + 0.656067i 0.966288 + 0.257462i \(0.0828863\pi\)
−0.917123 + 0.398605i \(0.869495\pi\)
\(570\) −2.83069e8 1.24021e9i −0.0640221 0.280499i
\(571\) 2.76925e9 7.05593e9i 0.622495 1.58609i −0.176200 0.984354i \(-0.556380\pi\)
0.798695 0.601737i \(-0.205524\pi\)
\(572\) 1.59095e8 2.12298e9i 0.0355444 0.474307i
\(573\) 4.03277e7 6.07842e6i 0.00895492 0.00134974i
\(574\) 5.26804e9 + 4.88802e9i 1.16267 + 1.07880i
\(575\) −2.46367e9 1.18644e9i −0.540436 0.260260i
\(576\) 1.09313e9 7.45287e8i 0.238339 0.162497i
\(577\) 2.38035e8 + 6.06503e8i 0.0515852 + 0.131437i 0.954344 0.298711i \(-0.0965566\pi\)
−0.902758 + 0.430148i \(0.858461\pi\)
\(578\) 1.37510e9 4.24164e8i 0.296202 0.0913663i
\(579\) −3.79273e9 + 3.51914e9i −0.812040 + 0.753463i
\(580\) 4.30742e8 5.40133e8i 0.0916682 0.114948i
\(581\) 3.56711e9 4.47301e9i 0.754570 0.946201i
\(582\) −2.49517e9 + 2.31518e9i −0.524650 + 0.486804i
\(583\) −1.46905e10 + 4.53141e9i −3.07040 + 0.947094i
\(584\) 1.35915e8 + 3.46305e8i 0.0282372 + 0.0719471i
\(585\) 7.03510e8 4.79645e8i 0.145286 0.0990545i
\(586\) −2.13911e9 1.03014e9i −0.439127 0.211473i
\(587\) 4.03476e9 + 3.74371e9i 0.823351 + 0.763958i 0.974460 0.224559i \(-0.0720942\pi\)
−0.151110 + 0.988517i \(0.548285\pi\)
\(588\) 1.01145e9 1.52451e8i 0.205174 0.0309250i
\(589\) 8.64673e7 1.15383e9i 0.0174361 0.232668i
\(590\) −1.15499e9 + 2.94287e9i −0.231524 + 0.589914i
\(591\) −1.01240e9 4.43561e9i −0.201742 0.883889i
\(592\) −2.22592e7 2.97028e8i −0.00440943 0.0588398i
\(593\) −7.85564e9 2.42314e9i −1.54700 0.477186i −0.600427 0.799679i \(-0.705003\pi\)
−0.946572 + 0.322493i \(0.895479\pi\)
\(594\) −6.65859e9 + 3.20661e9i −1.30356 + 0.627759i
\(595\) 1.51208e9 2.61900e9i 0.294283 0.509714i
\(596\) −6.65629e8 1.15290e9i −0.128787 0.223065i
\(597\) −2.67486e9 1.82369e9i −0.514506 0.350784i
\(598\) 1.12525e9 4.93003e9i 0.215176 0.942747i
\(599\) 1.30484e9 + 1.96674e8i 0.248064 + 0.0373897i 0.271897 0.962326i \(-0.412349\pi\)
−0.0238329 + 0.999716i \(0.507587\pi\)
\(600\) −2.90953e9 3.64843e9i −0.549912 0.689567i
\(601\) 2.48690e9 0.467302 0.233651 0.972320i \(-0.424933\pi\)
0.233651 + 0.972320i \(0.424933\pi\)
\(602\) 6.10215e8 + 6.77200e9i 0.113998 + 1.26511i
\(603\) −7.78393e8 −0.144573
\(604\) −4.28603e8 5.37451e8i −0.0791454 0.0992452i
\(605\) 7.58780e9 + 1.14368e9i 1.39307 + 0.209971i
\(606\) 8.02281e8 3.51502e9i 0.146444 0.641614i
\(607\) 6.68323e9 + 4.55655e9i 1.21290 + 0.826943i 0.989036 0.147677i \(-0.0471795\pi\)
0.223867 + 0.974620i \(0.428132\pi\)
\(608\) 5.65076e8 + 9.78740e8i 0.101963 + 0.176606i
\(609\) −6.70309e9 + 1.16101e10i −1.20258 + 2.08293i
\(610\) −9.68420e8 + 4.66366e8i −0.172746 + 0.0831903i
\(611\) −1.08826e10 3.35684e9i −1.93014 0.595369i
\(612\) −1.67178e7 2.23084e8i −0.00294816 0.0393404i
\(613\) 1.06450e9 + 4.66387e9i 0.186652 + 0.817777i 0.978365 + 0.206884i \(0.0663323\pi\)
−0.791713 + 0.610893i \(0.790811\pi\)
\(614\) −5.03910e7 + 1.28394e8i −0.00878544 + 0.0223849i
\(615\) −3.11505e8 + 4.15674e9i −0.0540010 + 0.720593i
\(616\) −1.67172e10 + 2.51972e9i −2.88159 + 0.434329i
\(617\) −1.48944e9 1.38200e9i −0.255285 0.236870i 0.542140 0.840288i \(-0.317614\pi\)
−0.797425 + 0.603418i \(0.793805\pi\)
\(618\) 5.03380e9 + 2.42415e9i 0.857899 + 0.413143i
\(619\) 7.99966e9 5.45407e9i 1.35567 0.924281i 0.355724 0.934591i \(-0.384234\pi\)
0.999947 + 0.0103106i \(0.00328204\pi\)
\(620\) 8.86752e7 + 2.25941e8i 0.0149428 + 0.0380736i
\(621\) 3.87140e9 1.19417e9i 0.648706 0.200099i
\(622\) −3.71060e9 + 3.44293e9i −0.618269 + 0.573670i
\(623\) −9.77279e7 + 1.22547e8i −0.0161924 + 0.0203046i
\(624\) 4.33486e9 5.43574e9i 0.714215 0.895597i
\(625\) −1.22187e9 + 1.13373e9i −0.200192 + 0.185751i
\(626\) 9.06729e9 2.79689e9i 1.47730 0.455685i
\(627\) 2.69676e9 + 6.87123e9i 0.436924 + 1.11326i
\(628\) −8.91851e8 + 6.08054e8i −0.143692 + 0.0979678i
\(629\) −3.45749e8 1.66504e8i −0.0553967 0.0266776i
\(630\) −7.82661e8 7.26204e8i −0.124704 0.115709i
\(631\) −1.05100e10 + 1.58413e9i −1.66533 + 0.251008i −0.913053 0.407840i \(-0.866282\pi\)
−0.752276 + 0.658848i \(0.771044\pi\)
\(632\) 3.43911e8 4.58917e9i 0.0541921 0.723143i
\(633\) −1.09223e8 + 2.78296e8i −0.0171160 + 0.0436107i
\(634\) −7.19481e7 3.15225e8i −0.0112126 0.0491257i
\(635\) −4.45774e8 5.94843e9i −0.0690886 0.921923i
\(636\) 2.17011e9 + 6.69392e8i 0.334490 + 0.103176i
\(637\) 7.60821e9 3.66392e9i 1.16626 0.561640i
\(638\) 8.68487e9 1.50426e10i 1.32401 2.29325i
\(639\) 1.45975e9 + 2.52837e9i 0.221323 + 0.383343i
\(640\) 1.78371e9 + 1.21611e9i 0.268964 + 0.183377i
\(641\) −1.91850e9 + 8.40548e9i −0.287712 + 1.26055i 0.599944 + 0.800042i \(0.295189\pi\)
−0.887656 + 0.460507i \(0.847668\pi\)
\(642\) 1.02490e10 + 1.54479e9i 1.52866 + 0.230408i
\(643\) 4.58409e9 + 5.74827e9i 0.680010 + 0.852705i 0.995355 0.0962718i \(-0.0306918\pi\)
−0.315345 + 0.948977i \(0.602120\pi\)
\(644\) 1.46342e9 0.215908
\(645\) −2.85035e9 + 2.72580e9i −0.418254 + 0.399977i
\(646\) −2.75926e9 −0.402698
\(647\) 6.93533e9 + 8.69663e9i 1.00670 + 1.26237i 0.964728 + 0.263249i \(0.0847941\pi\)
0.0419767 + 0.999119i \(0.486634\pi\)
\(648\) 8.74092e9 + 1.31748e9i 1.26196 + 0.190209i
\(649\) 4.08201e9 1.78844e10i 0.586162 2.56814i
\(650\) −5.02625e9 3.42684e9i −0.717873 0.489438i
\(651\) −2.35500e9 4.07898e9i −0.334548 0.579454i
\(652\) −2.67738e8 + 4.63736e8i −0.0378307 + 0.0655246i
\(653\) −2.74870e9 + 1.32370e9i −0.386306 + 0.186035i −0.616949 0.787003i \(-0.711631\pi\)
0.230643 + 0.973038i \(0.425917\pi\)
\(654\) −5.62298e9 1.73446e9i −0.786040 0.242461i
\(655\) −5.61920e7 7.49830e8i −0.00781322 0.104260i
\(656\) 1.56161e9 + 6.84188e9i 0.215978 + 0.946264i
\(657\) 4.98065e7 1.26905e8i 0.00685184 0.0174582i
\(658\) −1.06718e9 + 1.42406e10i −0.146032 + 1.94866i
\(659\) −1.33119e9 + 2.00645e8i −0.181193 + 0.0273105i −0.239012 0.971017i \(-0.576824\pi\)
0.0578189 + 0.998327i \(0.481585\pi\)
\(660\) −1.13508e9 1.05320e9i −0.153682 0.142596i
\(661\) 9.62739e9 + 4.63631e9i 1.29659 + 0.624406i 0.949601 0.313462i \(-0.101489\pi\)
0.346991 + 0.937868i \(0.387203\pi\)
\(662\) −3.55288e9 + 2.42231e9i −0.475968 + 0.324509i
\(663\) −3.27252e9 8.33824e9i −0.436098 1.11116i
\(664\) 6.62662e9 2.04404e9i 0.878423 0.270957i
\(665\) 2.22792e9 2.06721e9i 0.293781 0.272589i
\(666\) −8.44724e7 + 1.05925e8i −0.0110804 + 0.0138944i
\(667\) −5.93683e9 + 7.44455e9i −0.774665 + 0.971400i
\(668\) 3.64953e8 3.38627e8i 0.0473717 0.0439546i
\(669\) −9.81825e9 + 3.02853e9i −1.26778 + 0.391057i
\(670\) −7.35789e8 1.87476e9i −0.0945130 0.240815i
\(671\) 5.15326e9 3.51343e9i 0.658496 0.448955i
\(672\) 4.14487e9 + 1.99607e9i 0.526889 + 0.253736i
\(673\) −5.56259e9 5.16133e9i −0.703436 0.652693i 0.245051 0.969510i \(-0.421195\pi\)
−0.948487 + 0.316817i \(0.897386\pi\)
\(674\) 1.21670e10 1.83388e9i 1.53064 0.230708i
\(675\) 3.64218e8 4.86016e9i 0.0455826 0.608257i
\(676\) −3.98317e8 + 1.01489e9i −0.0495924 + 0.126359i
\(677\) 4.30025e8 + 1.88406e9i 0.0532640 + 0.233365i 0.994552 0.104239i \(-0.0332407\pi\)
−0.941288 + 0.337604i \(0.890384\pi\)
\(678\) −1.68113e8 2.24331e9i −0.0207156 0.276431i
\(679\) −7.77092e9 2.39701e9i −0.952639 0.293850i
\(680\) 3.30260e9 1.59045e9i 0.402786 0.193972i
\(681\) 6.04713e9 1.04739e10i 0.733727 1.27085i
\(682\) 3.05126e9 + 5.28494e9i 0.368328 + 0.637962i
\(683\) −6.38138e8 4.35075e8i −0.0766376 0.0522506i 0.524395 0.851475i \(-0.324291\pi\)
−0.601033 + 0.799224i \(0.705244\pi\)
\(684\) 5.00282e7 2.19188e8i 0.00597749 0.0261891i
\(685\) 1.24713e9 + 1.87974e8i 0.148250 + 0.0223450i
\(686\) 9.45024e7 + 1.18502e8i 0.0111766 + 0.0140150i
\(687\) −9.00839e8 −0.105998
\(688\) −3.23295e9 + 5.79969e9i −0.378476 + 0.678962i
\(689\) 1.87487e10 2.18375
\(690\) −2.29317e9 2.87554e9i −0.265744 0.333233i
\(691\) −1.16296e10 1.75288e9i −1.34088 0.202105i −0.560888 0.827892i \(-0.689540\pi\)
−0.779994 + 0.625786i \(0.784778\pi\)
\(692\) −2.71797e8 + 1.19082e9i −0.0311798 + 0.136608i
\(693\) 5.11879e9 + 3.48993e9i 0.584253 + 0.398337i
\(694\) 1.55801e9 + 2.69855e9i 0.176934 + 0.306459i
\(695\) 3.89058e8 6.73868e8i 0.0439610 0.0761427i
\(696\) −1.46405e10 + 7.05049e9i −1.64598 + 0.792660i
\(697\) 8.63982e9 + 2.66503e9i 0.966473 + 0.298118i
\(698\) −9.59526e8 1.28040e10i −0.106798 1.42512i
\(699\) −1.82754e9 8.00697e9i −0.202393 0.886744i
\(700\) 6.43175e8 1.63878e9i 0.0708738 0.180584i
\(701\) −9.46335e7 + 1.26280e9i −0.0103760 + 0.138459i −0.999986 0.00532043i \(-0.998306\pi\)
0.989610 + 0.143779i \(0.0459255\pi\)
\(702\) 8.91237e9 1.34332e9i 0.972329 0.146555i
\(703\) −2.82713e8 2.62319e8i −0.0306903 0.0284765i
\(704\) −1.78960e10 8.61827e9i −1.93309 0.930927i
\(705\) −6.84391e9 + 4.66610e9i −0.735601 + 0.501524i
\(706\) 6.00282e9 + 1.52949e10i 0.642006 + 1.63580i
\(707\) 8.23119e9 2.53899e9i 0.875981 0.270204i
\(708\) −1.98648e9 + 1.84319e9i −0.210363 + 0.195188i
\(709\) −3.91397e9 + 4.90796e9i −0.412435 + 0.517177i −0.944047 0.329811i \(-0.893015\pi\)
0.531612 + 0.846988i \(0.321586\pi\)
\(710\) −4.70971e9 + 5.90579e9i −0.493845 + 0.619261i
\(711\) −1.23625e9 + 1.14707e9i −0.128992 + 0.119687i
\(712\) −1.81549e8 + 5.60005e7i −0.0188501 + 0.00581449i
\(713\) −1.22219e9 3.11410e9i −0.126278 0.321750i
\(714\) −9.28033e9 + 6.32722e9i −0.954157 + 0.650533i
\(715\) −1.15174e10 5.54646e9i −1.17837 0.567473i
\(716\) 6.19055e8 + 5.74399e8i 0.0630280 + 0.0584814i
\(717\) 4.30454e9 6.48805e8i 0.436124 0.0657351i
\(718\) 5.97708e8 7.97586e9i 0.0602634 0.804160i
\(719\) 6.81329e9 1.73600e10i 0.683606 1.74180i 0.0130787 0.999914i \(-0.495837\pi\)
0.670527 0.741885i \(-0.266068\pi\)
\(720\) −2.32006e8 1.01648e9i −0.0231652 0.101493i
\(721\) 9.97528e8 + 1.33111e10i 0.0991178 + 1.32263i
\(722\) 6.06086e9 + 1.86953e9i 0.599313 + 0.184864i
\(723\) 4.57542e9 2.20340e9i 0.450243 0.216825i
\(724\) −1.32875e8 + 2.30146e8i −0.0130124 + 0.0225382i
\(725\) 5.72740e9 + 9.92014e9i 0.558180 + 0.966796i
\(726\) −2.35479e10 1.60547e10i −2.28389 1.55713i
\(727\) 2.58855e9 1.13412e10i 0.249853 1.09468i −0.681859 0.731483i \(-0.738828\pi\)
0.931713 0.363196i \(-0.118315\pi\)
\(728\) 2.03875e10 + 3.07291e9i 1.95841 + 0.295182i
\(729\) 4.06225e9 + 5.09390e9i 0.388347 + 0.486972i
\(730\) 3.52730e8 0.0335593
\(731\) 4.38843e9 + 7.34322e9i 0.415526 + 0.695306i
\(732\) −9.21349e8 −0.0868231
\(733\) −6.35971e9 7.97482e9i −0.596449 0.747924i 0.388371 0.921503i \(-0.373038\pi\)
−0.984820 + 0.173580i \(0.944467\pi\)
\(734\) 8.90063e9 + 1.34155e9i 0.830777 + 0.125220i
\(735\) 1.36670e9 5.98790e9i 0.126960 0.556249i
\(736\) 2.69977e9 + 1.84067e9i 0.249606 + 0.170178i
\(737\) 5.84316e9 + 1.01206e10i 0.537664 + 0.931262i
\(738\) 1.59604e9 2.76443e9i 0.146166 0.253168i
\(739\) −1.20477e10 + 5.80187e9i −1.09812 + 0.528825i −0.893066 0.449926i \(-0.851450\pi\)
−0.205051 + 0.978751i \(0.565736\pi\)
\(740\) 7.73075e7 + 2.38462e7i 0.00701311 + 0.00216326i
\(741\) −6.72726e8 8.97691e9i −0.0607400 0.810519i
\(742\) −5.23138e9 2.29202e10i −0.470113 2.05970i
\(743\) 3.02542e9 7.70864e9i 0.270598 0.689473i −0.729387 0.684101i \(-0.760195\pi\)
0.999986 0.00537198i \(-0.00170996\pi\)
\(744\) 4.26637e8 5.69307e9i 0.0379798 0.506805i
\(745\) −7.90434e9 + 1.19139e9i −0.700355 + 0.105562i
\(746\) −9.20598e9 8.54190e9i −0.811866 0.753301i
\(747\) −2.28959e9 1.10261e9i −0.200972 0.0967830i
\(748\) −2.77504e9 + 1.89199e9i −0.242445 + 0.165296i
\(749\) 9.04696e9 + 2.30513e10i 0.786713 + 2.00451i
\(750\) −9.98708e9 + 3.08061e9i −0.864419 + 0.266638i
\(751\) −9.79149e9 + 9.08518e9i −0.843547 + 0.782697i −0.978084 0.208212i \(-0.933236\pi\)
0.134537 + 0.990909i \(0.457045\pi\)