Properties

Label 43.6.g.a.9.13
Level 43
Weight 6
Character 43.9
Analytic conductor 6.897
Analytic rank 0
Dimension 204
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(17\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.13
Character \(\chi\) \(=\) 43.9
Dual form 43.6.g.a.24.13

$q$-expansion

\(f(q)\) \(=\) \(q+(2.92560 + 3.66858i) q^{2} +(-13.3552 - 2.01297i) q^{3} +(2.22129 - 9.73211i) q^{4} +(69.6328 + 47.4749i) q^{5} +(-31.6872 - 54.8838i) q^{6} +(-99.9777 + 173.166i) q^{7} +(177.485 - 85.4723i) q^{8} +(-57.8948 - 17.8582i) q^{9} +O(q^{10})\) \(q+(2.92560 + 3.66858i) q^{2} +(-13.3552 - 2.01297i) q^{3} +(2.22129 - 9.73211i) q^{4} +(69.6328 + 47.4749i) q^{5} +(-31.6872 - 54.8838i) q^{6} +(-99.9777 + 173.166i) q^{7} +(177.485 - 85.4723i) q^{8} +(-57.8948 - 17.8582i) q^{9} +(29.5522 + 394.346i) q^{10} +(142.050 + 622.361i) q^{11} +(-49.2563 + 125.503i) q^{12} +(-27.8811 + 372.048i) q^{13} +(-927.769 + 139.839i) q^{14} +(-834.395 - 774.206i) q^{15} +(545.010 + 262.463i) q^{16} +(1108.65 - 755.865i) q^{17} +(-103.863 - 264.638i) q^{18} +(-1785.13 + 550.641i) q^{19} +(616.705 - 572.219i) q^{20} +(1683.80 - 2111.42i) q^{21} +(-1867.60 + 2341.90i) q^{22} +(1717.45 - 1593.56i) q^{23} +(-2542.40 + 784.228i) q^{24} +(1453.18 + 3702.64i) q^{25} +(-1446.46 + 986.178i) q^{26} +(3694.20 + 1779.03i) q^{27} +(1463.20 + 1357.65i) q^{28} +(1593.33 - 240.156i) q^{29} +(399.133 - 5326.06i) q^{30} +(2165.29 - 5517.08i) q^{31} +(-771.114 - 3378.47i) q^{32} +(-644.309 - 8597.70i) q^{33} +(6016.42 + 1855.82i) q^{34} +(-15182.8 + 7311.64i) q^{35} +(-302.399 + 523.770i) q^{36} +(-1885.98 - 3266.62i) q^{37} +(-7242.65 - 4937.95i) q^{38} +(1121.28 - 4912.65i) q^{39} +(16416.6 + 2474.40i) q^{40} +(-1779.29 - 2231.16i) q^{41} +12672.0 q^{42} +(-11739.6 + 3031.52i) q^{43} +6372.42 q^{44} +(-3183.56 - 3992.06i) q^{45} +(10870.7 + 1638.49i) q^{46} +(-2405.06 + 10537.3i) q^{47} +(-6750.39 - 4602.34i) q^{48} +(-11587.6 - 20070.3i) q^{49} +(-9332.02 + 16163.5i) q^{50} +(-16327.8 + 7863.05i) q^{51} +(3558.88 + 1097.77i) q^{52} +(-2582.73 - 34464.2i) q^{53} +(4281.21 + 18757.2i) q^{54} +(-19655.2 + 50080.6i) q^{55} +(-2943.61 + 39279.8i) q^{56} +(24949.2 - 3760.49i) q^{57} +(5542.47 + 5142.66i) q^{58} +(17736.9 + 8541.63i) q^{59} +(-9388.09 + 6400.69i) q^{60} +(9676.94 + 24656.5i) q^{61} +(26574.6 - 8197.19i) q^{62} +(8880.62 - 8240.01i) q^{63} +(22207.3 - 27847.1i) q^{64} +(-19604.4 + 24583.1i) q^{65} +(29656.4 - 27517.1i) q^{66} +(-14083.9 + 4344.32i) q^{67} +(-4893.53 - 12468.5i) q^{68} +(-26144.7 + 17825.2i) q^{69} +(-71242.0 - 34308.4i) q^{70} +(52805.9 + 48996.8i) q^{71} +(-11801.8 + 1778.84i) q^{72} +(3891.69 - 51931.0i) q^{73} +(6466.24 - 16475.7i) q^{74} +(-11954.2 - 52374.7i) q^{75} +(1393.60 + 18596.2i) q^{76} +(-121974. - 37623.9i) q^{77} +(21302.9 - 10258.9i) q^{78} +(26809.3 - 46435.1i) q^{79} +(25490.2 + 44150.3i) q^{80} +(-33591.4 - 22902.2i) q^{81} +(2979.70 - 13054.9i) q^{82} +(30435.7 + 4587.44i) q^{83} +(-16808.4 - 21077.0i) q^{84} +113083. q^{85} +(-45466.7 - 34198.7i) q^{86} -21762.7 q^{87} +(78406.4 + 98318.5i) q^{88} +(140642. + 21198.4i) q^{89} +(5331.39 - 23358.3i) q^{90} +(-61638.7 - 42024.5i) q^{91} +(-11693.8 - 20254.2i) q^{92} +(-40023.7 + 69323.1i) q^{93} +(-45693.0 + 22004.6i) q^{94} +(-150445. - 46406.3i) q^{95} +(3497.62 + 46672.4i) q^{96} +(8092.86 + 35457.1i) q^{97} +(39728.8 - 101227. i) q^{98} +(2890.29 - 38568.2i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + O(q^{10}) \) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + 303q^{10} - 1340q^{11} + 858q^{12} + 814q^{13} + 1202q^{14} - 2083q^{15} - 6248q^{16} - 214q^{17} - 174q^{18} - 246q^{19} - 17139q^{20} + 3007q^{21} + 2118q^{22} + 3192q^{23} + 15880q^{24} + 3652q^{25} - 1237q^{26} + 108q^{27} - 6780q^{28} - 18827q^{29} + 98080q^{30} - 43196q^{31} - 3930q^{32} + 28181q^{33} + 45155q^{34} + 33275q^{35} - 49399q^{36} + 34607q^{37} - 43374q^{38} + 15155q^{39} - 108727q^{40} + 7156q^{41} - 48066q^{42} - 176452q^{43} + 26068q^{44} - 96386q^{45} - 27185q^{46} + 20402q^{47} + 198899q^{48} - 158742q^{49} + 186243q^{50} + 98589q^{51} + 278918q^{52} + 14102q^{53} + 270894q^{54} - 334770q^{55} + 61999q^{56} - 202490q^{57} + 213658q^{58} - 43753q^{59} - 389005q^{60} + 80516q^{61} + 162349q^{62} - 75177q^{63} - 489850q^{64} + 93726q^{65} + 246095q^{66} - 322922q^{67} + 475089q^{68} - 397079q^{69} - 614985q^{70} - 233345q^{71} + 379655q^{72} + 159391q^{73} + 695938q^{74} + 344081q^{75} - 50808q^{76} + 608177q^{77} + 605548q^{78} - 272109q^{79} + 601054q^{80} + 193536q^{81} - 996896q^{82} + 177813q^{83} - 919009q^{84} - 844524q^{85} - 876752q^{86} - 188214q^{87} - 59998q^{88} - 469041q^{89} - 453431q^{90} - 223189q^{91} - 94922q^{92} + 569174q^{93} + 1175168q^{94} + 435689q^{95} + 1557688q^{96} + 643751q^{97} + 886196q^{98} + 1422581q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.92560 + 3.66858i 0.517177 + 0.648520i 0.970007 0.243077i \(-0.0781569\pi\)
−0.452830 + 0.891597i \(0.649585\pi\)
\(3\) −13.3552 2.01297i −0.856737 0.129132i −0.294037 0.955794i \(-0.594999\pi\)
−0.562699 + 0.826662i \(0.690237\pi\)
\(4\) 2.22129 9.73211i 0.0694153 0.304128i
\(5\) 69.6328 + 47.4749i 1.24563 + 0.849256i 0.992978 0.118301i \(-0.0377448\pi\)
0.252652 + 0.967557i \(0.418697\pi\)
\(6\) −31.6872 54.8838i −0.359340 0.622395i
\(7\) −99.9777 + 173.166i −0.771184 + 1.33573i 0.165731 + 0.986171i \(0.447002\pi\)
−0.936915 + 0.349558i \(0.886332\pi\)
\(8\) 177.485 85.4723i 0.980476 0.472172i
\(9\) −57.8948 17.8582i −0.238250 0.0734904i
\(10\) 29.5522 + 394.346i 0.0934521 + 1.24703i
\(11\) 142.050 + 622.361i 0.353964 + 1.55082i 0.767935 + 0.640528i \(0.221284\pi\)
−0.413971 + 0.910290i \(0.635859\pi\)
\(12\) −49.2563 + 125.503i −0.0987435 + 0.251594i
\(13\) −27.8811 + 372.048i −0.0457564 + 0.610577i 0.926445 + 0.376430i \(0.122849\pi\)
−0.972201 + 0.234147i \(0.924770\pi\)
\(14\) −927.769 + 139.839i −1.26509 + 0.190681i
\(15\) −834.395 774.206i −0.957511 0.888440i
\(16\) 545.010 + 262.463i 0.532236 + 0.256311i
\(17\) 1108.65 755.865i 0.930406 0.634340i −0.000342742 1.00000i \(-0.500109\pi\)
0.930748 + 0.365660i \(0.119157\pi\)
\(18\) −103.863 264.638i −0.0755576 0.192518i
\(19\) −1785.13 + 550.641i −1.13445 + 0.349932i −0.804434 0.594042i \(-0.797531\pi\)
−0.330019 + 0.943974i \(0.607055\pi\)
\(20\) 616.705 572.219i 0.344749 0.319880i
\(21\) 1683.80 2111.42i 0.833187 1.04478i
\(22\) −1867.60 + 2341.90i −0.822674 + 1.03160i
\(23\) 1717.45 1593.56i 0.676963 0.628130i −0.264841 0.964292i \(-0.585320\pi\)
0.941804 + 0.336162i \(0.109129\pi\)
\(24\) −2542.40 + 784.228i −0.900983 + 0.277916i
\(25\) 1453.18 + 3702.64i 0.465017 + 1.18484i
\(26\) −1446.46 + 986.178i −0.419635 + 0.286103i
\(27\) 3694.20 + 1779.03i 0.975240 + 0.469651i
\(28\) 1463.20 + 1357.65i 0.352701 + 0.327259i
\(29\) 1593.33 240.156i 0.351812 0.0530271i 0.0292409 0.999572i \(-0.490691\pi\)
0.322571 + 0.946545i \(0.395453\pi\)
\(30\) 399.133 5326.06i 0.0809682 1.08045i
\(31\) 2165.29 5517.08i 0.404681 1.03111i −0.572726 0.819747i \(-0.694114\pi\)
0.977407 0.211364i \(-0.0677905\pi\)
\(32\) −771.114 3378.47i −0.133120 0.583238i
\(33\) −644.309 8597.70i −0.102993 1.37435i
\(34\) 6016.42 + 1855.82i 0.892567 + 0.275320i
\(35\) −15182.8 + 7311.64i −2.09499 + 1.00889i
\(36\) −302.399 + 523.770i −0.0388887 + 0.0673573i
\(37\) −1885.98 3266.62i −0.226482 0.392278i 0.730281 0.683147i \(-0.239389\pi\)
−0.956763 + 0.290868i \(0.906056\pi\)
\(38\) −7242.65 4937.95i −0.813651 0.554738i
\(39\) 1121.28 4912.65i 0.118046 0.517195i
\(40\) 16416.6 + 2474.40i 1.62231 + 0.244523i
\(41\) −1779.29 2231.16i −0.165305 0.207286i 0.692279 0.721630i \(-0.256607\pi\)
−0.857584 + 0.514344i \(0.828035\pi\)
\(42\) 12672.0 1.10847
\(43\) −11739.6 + 3031.52i −0.968238 + 0.250028i
\(44\) 6372.42 0.496218
\(45\) −3183.56 3992.06i −0.234359 0.293877i
\(46\) 10870.7 + 1638.49i 0.757464 + 0.114169i
\(47\) −2405.06 + 10537.3i −0.158811 + 0.695797i 0.831336 + 0.555770i \(0.187576\pi\)
−0.990148 + 0.140028i \(0.955281\pi\)
\(48\) −6750.39 4602.34i −0.422888 0.288320i
\(49\) −11587.6 20070.3i −0.689449 1.19416i
\(50\) −9332.02 + 16163.5i −0.527899 + 0.914347i
\(51\) −16327.8 + 7863.05i −0.879027 + 0.423317i
\(52\) 3558.88 + 1097.77i 0.182518 + 0.0562992i
\(53\) −2582.73 34464.2i −0.126296 1.68530i −0.596396 0.802690i \(-0.703401\pi\)
0.470100 0.882613i \(-0.344218\pi\)
\(54\) 4281.21 + 18757.2i 0.199794 + 0.875355i
\(55\) −19655.2 + 50080.6i −0.876133 + 2.23235i
\(56\) −2943.61 + 39279.8i −0.125433 + 1.67378i
\(57\) 24949.2 3760.49i 1.01712 0.153305i
\(58\) 5542.47 + 5142.66i 0.216338 + 0.200733i
\(59\) 17736.9 + 8541.63i 0.663357 + 0.319456i 0.735092 0.677968i \(-0.237139\pi\)
−0.0717345 + 0.997424i \(0.522853\pi\)
\(60\) −9388.09 + 6400.69i −0.336666 + 0.229535i
\(61\) 9676.94 + 24656.5i 0.332977 + 0.848410i 0.995087 + 0.0990042i \(0.0315657\pi\)
−0.662110 + 0.749406i \(0.730339\pi\)
\(62\) 26574.6 8197.19i 0.877987 0.270823i
\(63\) 8880.62 8240.01i 0.281898 0.261563i
\(64\) 22207.3 27847.1i 0.677713 0.849826i
\(65\) −19604.4 + 24583.1i −0.575532 + 0.721694i
\(66\) 29656.4 27517.1i 0.838028 0.777576i
\(67\) −14083.9 + 4344.32i −0.383299 + 0.118232i −0.480416 0.877041i \(-0.659514\pi\)
0.0971168 + 0.995273i \(0.469038\pi\)
\(68\) −4893.53 12468.5i −0.128336 0.326996i
\(69\) −26144.7 + 17825.2i −0.661091 + 0.450724i
\(70\) −71242.0 34308.4i −1.73777 0.836864i
\(71\) 52805.9 + 48996.8i 1.24319 + 1.15351i 0.982133 + 0.188186i \(0.0602609\pi\)
0.261055 + 0.965324i \(0.415930\pi\)
\(72\) −11801.8 + 1778.84i −0.268299 + 0.0404395i
\(73\) 3891.69 51931.0i 0.0854734 1.14056i −0.775306 0.631585i \(-0.782405\pi\)
0.860780 0.508978i \(-0.169976\pi\)
\(74\) 6466.24 16475.7i 0.137269 0.349756i
\(75\) −11954.2 52374.7i −0.245396 1.07515i
\(76\) 1393.60 + 18596.2i 0.0276760 + 0.369310i
\(77\) −121974. 37623.9i −2.34444 0.723165i
\(78\) 21302.9 10258.9i 0.396462 0.190926i
\(79\) 26809.3 46435.1i 0.483301 0.837102i −0.516515 0.856278i \(-0.672771\pi\)
0.999816 + 0.0191759i \(0.00610425\pi\)
\(80\) 25490.2 + 44150.3i 0.445295 + 0.771274i
\(81\) −33591.4 22902.2i −0.568873 0.387851i
\(82\) 2979.70 13054.9i 0.0489371 0.214408i
\(83\) 30435.7 + 4587.44i 0.484940 + 0.0730929i 0.386962 0.922096i \(-0.373524\pi\)
0.0979779 + 0.995189i \(0.468763\pi\)
\(84\) −16808.4 21077.0i −0.259913 0.325920i
\(85\) 113083. 1.69766
\(86\) −45466.7 34198.7i −0.662899 0.498613i
\(87\) −21762.7 −0.308258
\(88\) 78406.4 + 98318.5i 1.07931 + 1.35341i
\(89\) 140642. + 21198.4i 1.88209 + 0.283680i 0.986817 0.161838i \(-0.0517422\pi\)
0.895273 + 0.445517i \(0.146980\pi\)
\(90\) 5331.39 23358.3i 0.0693799 0.303973i
\(91\) −61638.7 42024.5i −0.780279 0.531985i
\(92\) −11693.8 20254.2i −0.144041 0.249485i
\(93\) −40023.7 + 69323.1i −0.479855 + 0.831133i
\(94\) −45693.0 + 22004.6i −0.533372 + 0.256858i
\(95\) −150445. 46406.3i −1.71029 0.527555i
\(96\) 3497.62 + 46672.4i 0.0387341 + 0.516871i
\(97\) 8092.86 + 35457.1i 0.0873318 + 0.382626i 0.999639 0.0268816i \(-0.00855772\pi\)
−0.912307 + 0.409507i \(0.865701\pi\)
\(98\) 39728.8 101227.i 0.417869 1.06471i
\(99\) 2890.29 38568.2i 0.0296383 0.395495i
\(100\) 39262.4 5917.86i 0.392624 0.0591786i
\(101\) −22741.7 21101.2i −0.221829 0.205827i 0.561427 0.827526i \(-0.310252\pi\)
−0.783257 + 0.621699i \(0.786443\pi\)
\(102\) −76614.8 36895.7i −0.729142 0.351136i
\(103\) 61589.8 41991.2i 0.572026 0.390001i −0.242479 0.970157i \(-0.577961\pi\)
0.814506 + 0.580156i \(0.197008\pi\)
\(104\) 26851.3 + 68416.0i 0.243435 + 0.620261i
\(105\) 217487. 67085.9i 1.92513 0.593825i
\(106\) 118879. 110303.i 1.02764 0.953506i
\(107\) −110005. + 137942.i −0.928863 + 1.16476i 0.0571961 + 0.998363i \(0.481784\pi\)
−0.986059 + 0.166395i \(0.946787\pi\)
\(108\) 25519.7 32000.6i 0.210531 0.263997i
\(109\) −38971.4 + 36160.1i −0.314181 + 0.291517i −0.821462 0.570264i \(-0.806841\pi\)
0.507281 + 0.861781i \(0.330651\pi\)
\(110\) −241228. + 74408.9i −1.90084 + 0.586332i
\(111\) 18612.1 + 47422.8i 0.143380 + 0.365326i
\(112\) −99938.6 + 68137.0i −0.752815 + 0.513260i
\(113\) 99329.9 + 47834.8i 0.731786 + 0.352409i 0.762386 0.647122i \(-0.224028\pi\)
−0.0306005 + 0.999532i \(0.509742\pi\)
\(114\) 86787.1 + 80526.6i 0.625450 + 0.580333i
\(115\) 195245. 29428.5i 1.37669 0.207502i
\(116\) 1202.03 16039.9i 0.00829409 0.110677i
\(117\) 8258.27 21041.7i 0.0557730 0.142107i
\(118\) 20555.3 + 90058.6i 0.135900 + 0.595415i
\(119\) 20050.1 + 267551.i 0.129793 + 1.73196i
\(120\) −214266. 66092.3i −1.35831 0.418984i
\(121\) −222053. + 106935.i −1.37878 + 0.663983i
\(122\) −62143.4 + 107635.i −0.378003 + 0.654720i
\(123\) 19271.5 + 33379.2i 0.114856 + 0.198936i
\(124\) −48883.1 33327.9i −0.285499 0.194650i
\(125\) −15989.0 + 70052.5i −0.0915265 + 0.401004i
\(126\) 56210.3 + 8472.34i 0.315420 + 0.0475419i
\(127\) −105046. 131723.i −0.577921 0.724690i 0.403836 0.914831i \(-0.367677\pi\)
−0.981757 + 0.190142i \(0.939105\pi\)
\(128\) 56237.5 0.303390
\(129\) 162887. 16855.1i 0.861812 0.0891777i
\(130\) −147540. −0.765685
\(131\) −42885.2 53776.3i −0.218338 0.273787i 0.660585 0.750751i \(-0.270308\pi\)
−0.878923 + 0.476965i \(0.841737\pi\)
\(132\) −85105.0 12827.5i −0.425128 0.0640778i
\(133\) 83121.0 364177.i 0.407457 1.78518i
\(134\) −57141.5 38958.4i −0.274909 0.187430i
\(135\) 172778. + 299261.i 0.815934 + 1.41324i
\(136\) 132163. 228914.i 0.612723 1.06127i
\(137\) 96146.4 46301.6i 0.437655 0.210763i −0.202064 0.979372i \(-0.564765\pi\)
0.639719 + 0.768609i \(0.279051\pi\)
\(138\) −141882. 43764.8i −0.634205 0.195626i
\(139\) −26572.6 354586.i −0.116653 1.55663i −0.681739 0.731595i \(-0.738776\pi\)
0.565086 0.825032i \(-0.308843\pi\)
\(140\) 37432.3 + 164002.i 0.161409 + 0.707178i
\(141\) 53331.3 135886.i 0.225909 0.575607i
\(142\) −25259.7 + 337068.i −0.105125 + 1.40280i
\(143\) −235509. + 35497.2i −0.963090 + 0.145162i
\(144\) −26866.1 24928.1i −0.107969 0.100181i
\(145\) 122349. + 58920.4i 0.483261 + 0.232726i
\(146\) 201899. 137652.i 0.783883 0.534442i
\(147\) 114353. + 291368.i 0.436471 + 1.11211i
\(148\) −35980.4 + 11098.5i −0.135024 + 0.0416495i
\(149\) −98428.0 + 91327.9i −0.363206 + 0.337006i −0.840573 0.541698i \(-0.817782\pi\)
0.477367 + 0.878704i \(0.341591\pi\)
\(150\) 157168. 197082.i 0.570342 0.715186i
\(151\) −52277.6 + 65554.0i −0.186583 + 0.233968i −0.866322 0.499487i \(-0.833522\pi\)
0.679738 + 0.733455i \(0.262093\pi\)
\(152\) −269770. + 250310.i −0.947076 + 0.878758i
\(153\) −77683.5 + 23962.2i −0.268287 + 0.0827556i
\(154\) −218820. 557544.i −0.743506 1.89442i
\(155\) 412698. 281373.i 1.37976 0.940704i
\(156\) −45319.8 21824.8i −0.149099 0.0718025i
\(157\) −42706.7 39626.1i −0.138276 0.128302i 0.608003 0.793935i \(-0.291971\pi\)
−0.746279 + 0.665633i \(0.768161\pi\)
\(158\) 248784. 37498.2i 0.792830 0.119500i
\(159\) −34882.5 + 465475.i −0.109425 + 1.46017i
\(160\) 106698. 271861.i 0.329500 0.839551i
\(161\) 104245. + 456725.i 0.316949 + 1.38864i
\(162\) −14256.2 190235.i −0.0426791 0.569513i
\(163\) −81949.5 25278.1i −0.241589 0.0745204i 0.171596 0.985167i \(-0.445108\pi\)
−0.413185 + 0.910647i \(0.635584\pi\)
\(164\) −25666.2 + 12360.2i −0.0745164 + 0.0358852i
\(165\) 363310. 629271.i 1.03888 1.79940i
\(166\) 72213.1 + 125077.i 0.203398 + 0.352295i
\(167\) −337522. 230119.i −0.936508 0.638500i −0.00413215 0.999991i \(-0.501315\pi\)
−0.932375 + 0.361491i \(0.882268\pi\)
\(168\) 118382. 518664.i 0.323602 1.41779i
\(169\) 229504. + 34592.1i 0.618120 + 0.0931666i
\(170\) 330835. + 414855.i 0.877990 + 1.10097i
\(171\) 113183. 0.296000
\(172\) 3426.03 + 120985.i 0.00883018 + 0.311825i
\(173\) −152173. −0.386565 −0.193283 0.981143i \(-0.561913\pi\)
−0.193283 + 0.981143i \(0.561913\pi\)
\(174\) −63668.8 79838.1i −0.159424 0.199911i
\(175\) −786458. 118539.i −1.94125 0.292596i
\(176\) −85928.1 + 376476.i −0.209100 + 0.916126i
\(177\) −219686. 149779.i −0.527070 0.359350i
\(178\) 333694. + 577975.i 0.789403 + 1.36729i
\(179\) −178923. + 309903.i −0.417381 + 0.722926i −0.995675 0.0929030i \(-0.970385\pi\)
0.578294 + 0.815828i \(0.303719\pi\)
\(180\) −45922.8 + 22115.3i −0.105645 + 0.0508757i
\(181\) 76608.0 + 23630.4i 0.173811 + 0.0536137i 0.380439 0.924806i \(-0.375773\pi\)
−0.206628 + 0.978420i \(0.566249\pi\)
\(182\) −26159.4 349073.i −0.0585396 0.781157i
\(183\) −79604.8 348771.i −0.175716 0.769862i
\(184\) 168617. 429628.i 0.367160 0.935509i
\(185\) 23755.9 317001.i 0.0510320 0.680975i
\(186\) −371411. + 55981.1i −0.787176 + 0.118648i
\(187\) 627905. + 582610.i 1.31308 + 1.21836i
\(188\) 97207.4 + 46812.6i 0.200588 + 0.0965980i
\(189\) −677407. + 461848.i −1.37942 + 0.940469i
\(190\) −269897. 687687.i −0.542394 1.38200i
\(191\) −226534. + 69876.3i −0.449313 + 0.138595i −0.511150 0.859492i \(-0.670780\pi\)
0.0618369 + 0.998086i \(0.480304\pi\)
\(192\) −352639. + 327201.i −0.690362 + 0.640562i
\(193\) 206145. 258497.i 0.398363 0.499531i −0.541681 0.840584i \(-0.682212\pi\)
0.940044 + 0.341053i \(0.110783\pi\)
\(194\) −106401. + 133423.i −0.202974 + 0.254522i
\(195\) 311305. 288849.i 0.586273 0.543982i
\(196\) −221065. + 68189.6i −0.411036 + 0.126788i
\(197\) 68624.0 + 174851.i 0.125983 + 0.320998i 0.979924 0.199370i \(-0.0638897\pi\)
−0.853942 + 0.520369i \(0.825794\pi\)
\(198\) 149946. 102232.i 0.271815 0.185320i
\(199\) 363023. + 174822.i 0.649832 + 0.312942i 0.729603 0.683871i \(-0.239705\pi\)
−0.0797714 + 0.996813i \(0.525419\pi\)
\(200\) 574391. + 532957.i 1.01539 + 0.942143i
\(201\) 196839. 29668.7i 0.343654 0.0517975i
\(202\) 10878.5 145163.i 0.0187581 0.250310i
\(203\) −117710. + 299921.i −0.200482 + 0.510819i
\(204\) 40255.3 + 176370.i 0.0677248 + 0.296722i
\(205\) −17973.0 239833.i −0.0298701 0.398589i
\(206\) 334235. + 103098.i 0.548762 + 0.169271i
\(207\) −127890. + 61588.4i −0.207448 + 0.0999017i
\(208\) −112844. + 195452.i −0.180851 + 0.313243i
\(209\) −596275. 1.03278e6i −0.944237 1.63547i
\(210\) 882390. + 601603.i 1.38074 + 0.941374i
\(211\) −267803. + 1.17332e6i −0.414104 + 1.81431i 0.150098 + 0.988671i \(0.452041\pi\)
−0.564202 + 0.825637i \(0.690816\pi\)
\(212\) −341146. 51419.5i −0.521316 0.0785757i
\(213\) −606605. 760659.i −0.916130 1.14879i
\(214\) −827879. −1.23576
\(215\) −961383. 346243.i −1.41841 0.510840i
\(216\) 807724. 1.17796
\(217\) 738892. + 926541.i 1.06520 + 1.33572i
\(218\) −246671. 37179.7i −0.351542 0.0529864i
\(219\) −156510. + 685715.i −0.220512 + 0.966125i
\(220\) 443730. + 302530.i 0.618104 + 0.421416i
\(221\) 250308. + 433545.i 0.344741 + 0.597109i
\(222\) −119523. + 207020.i −0.162768 + 0.281923i
\(223\) −114767. + 55268.7i −0.154545 + 0.0744247i −0.509557 0.860437i \(-0.670191\pi\)
0.355013 + 0.934861i \(0.384477\pi\)
\(224\) 662132. + 204241.i 0.881708 + 0.271971i
\(225\) −18009.1 240315.i −0.0237157 0.316464i
\(226\) 115113. + 504345.i 0.149918 + 0.656836i
\(227\) 521443. 1.32861e6i 0.671648 1.71133i −0.0307299 0.999528i \(-0.509783\pi\)
0.702378 0.711804i \(-0.252122\pi\)
\(228\) 18822.0 251162.i 0.0239788 0.319975i
\(229\) −879794. + 132608.i −1.10864 + 0.167101i −0.677744 0.735298i \(-0.737042\pi\)
−0.430901 + 0.902399i \(0.641804\pi\)
\(230\) 679169. + 630177.i 0.846561 + 0.785494i
\(231\) 1.55325e6 + 748006.i 1.91519 + 0.922306i
\(232\) 262266. 178810.i 0.319905 0.218108i
\(233\) −303135. 772376.i −0.365803 0.932050i −0.988722 0.149764i \(-0.952149\pi\)
0.622919 0.782286i \(-0.285947\pi\)
\(234\) 101354. 31263.5i 0.121004 0.0373248i
\(235\) −667726. + 619559.i −0.788730 + 0.731835i
\(236\) 122527. 153644.i 0.143203 0.179571i
\(237\) −451516. + 566184.i −0.522159 + 0.654767i
\(238\) −922873. + 856301.i −1.05609 + 0.979905i
\(239\) 339904. 104846.i 0.384912 0.118730i −0.0962592 0.995356i \(-0.530688\pi\)
0.481171 + 0.876627i \(0.340212\pi\)
\(240\) −251553. 640948.i −0.281905 0.718281i
\(241\) 784023. 534538.i 0.869534 0.592838i −0.0442585 0.999020i \(-0.514093\pi\)
0.913792 + 0.406182i \(0.133140\pi\)
\(242\) −1.04194e6 501771.i −1.14368 0.550766i
\(243\) −327867. 304216.i −0.356190 0.330496i
\(244\) 261455. 39407.9i 0.281139 0.0423750i
\(245\) 145957. 1.94767e6i 0.155350 2.07300i
\(246\) −66073.8 + 168353.i −0.0696132 + 0.177371i
\(247\) −155093. 679507.i −0.161752 0.708682i
\(248\) −87250.2 1.16427e6i −0.0900818 1.20206i
\(249\) −397240. 122532.i −0.406027 0.125243i
\(250\) −303771. + 146288.i −0.307394 + 0.148033i
\(251\) 145428. 251889.i 0.145702 0.252363i −0.783933 0.620846i \(-0.786789\pi\)
0.929634 + 0.368483i \(0.120123\pi\)
\(252\) −60466.3 104731.i −0.0599807 0.103890i
\(253\) 1.23573e6 + 842510.i 1.21374 + 0.827511i
\(254\) 175916. 770736.i 0.171088 0.749586i
\(255\) −1.51025e6 227633.i −1.45445 0.219223i
\(256\) −546106. 684795.i −0.520807 0.653071i
\(257\) 197098. 0.186144 0.0930719 0.995659i \(-0.470331\pi\)
0.0930719 + 0.995659i \(0.470331\pi\)
\(258\) 538376. + 548254.i 0.503543 + 0.512782i
\(259\) 754225. 0.698637
\(260\) 195698. + 245398.i 0.179537 + 0.225132i
\(261\) −96534.2 14550.2i −0.0877162 0.0132211i
\(262\) 71818.1 314655.i 0.0646369 0.283193i
\(263\) −704116. 480058.i −0.627704 0.427961i 0.207245 0.978289i \(-0.433550\pi\)
−0.834949 + 0.550328i \(0.814503\pi\)
\(264\) −849221. 1.47089e6i −0.749913 1.29889i
\(265\) 1.45634e6 2.52245e6i 1.27394 2.20652i
\(266\) 1.57919e6 760498.i 1.36845 0.659013i
\(267\) −1.83563e6 566218.i −1.57582 0.486077i
\(268\) 10994.9 + 146717.i 0.00935091 + 0.124779i
\(269\) 399379. + 1.74979e6i 0.336515 + 1.47437i 0.806258 + 0.591564i \(0.201489\pi\)
−0.469743 + 0.882803i \(0.655653\pi\)
\(270\) −592384. + 1.50937e6i −0.494531 + 1.26004i
\(271\) 88492.4 1.18085e6i 0.0731952 0.976723i −0.832838 0.553516i \(-0.813286\pi\)
0.906033 0.423206i \(-0.139095\pi\)
\(272\) 802612. 120974.i 0.657784 0.0991450i
\(273\) 738603. + 685323.i 0.599797 + 0.556530i
\(274\) 451147. + 217261.i 0.363029 + 0.174826i
\(275\) −2.09795e6 + 1.43036e6i −1.67288 + 1.14055i
\(276\) 115401. + 294038.i 0.0911882 + 0.232344i
\(277\) −474279. + 146296.i −0.371394 + 0.114560i −0.474833 0.880076i \(-0.657492\pi\)
0.103439 + 0.994636i \(0.467015\pi\)
\(278\) 1.22309e6 1.13486e6i 0.949173 0.880704i
\(279\) −223884. + 280742.i −0.172192 + 0.215922i
\(280\) −2.06977e6 + 2.59542e6i −1.57771 + 1.97839i
\(281\) −341638. + 316993.i −0.258107 + 0.239488i −0.798603 0.601858i \(-0.794427\pi\)
0.540496 + 0.841347i \(0.318237\pi\)
\(282\) 654534. 201897.i 0.490128 0.151184i
\(283\) 685584. + 1.74684e6i 0.508856 + 1.29654i 0.922462 + 0.386088i \(0.126174\pi\)
−0.413606 + 0.910456i \(0.635731\pi\)
\(284\) 594139. 405077.i 0.437112 0.298018i
\(285\) 1.91581e6 + 922608.i 1.39714 + 0.672829i
\(286\) −819228. 760132.i −0.592229 0.549508i
\(287\) 564251. 85047.1i 0.404359 0.0609473i
\(288\) −15689.9 + 209367.i −0.0111465 + 0.148740i
\(289\) 139042. 354273.i 0.0979267 0.249513i
\(290\) 141791. + 621226.i 0.0990040 + 0.433765i
\(291\) −36707.5 489828.i −0.0254111 0.339087i
\(292\) −496753. 153228.i −0.340945 0.105167i
\(293\) 1.45113e6 698829.i 0.987503 0.475556i 0.130823 0.991406i \(-0.458238\pi\)
0.856679 + 0.515850i \(0.172524\pi\)
\(294\) −734355. + 1.27194e6i −0.495493 + 0.858219i
\(295\) 829557. + 1.43683e6i 0.554998 + 0.961284i
\(296\) −613940. 418577.i −0.407283 0.277681i
\(297\) −582441. + 2.55184e6i −0.383143 + 1.67866i
\(298\) −623005. 93902.8i −0.406397 0.0612545i
\(299\) 544997. + 683404.i 0.352546 + 0.442079i
\(300\) −536270. −0.344017
\(301\) 648741. 2.33599e6i 0.412719 1.48612i
\(302\) −393433. −0.248230
\(303\) 261243. + 327589.i 0.163470 + 0.204985i
\(304\) −1.11744e6 168427.i −0.693489 0.104527i
\(305\) −496729. + 2.17631e6i −0.305752 + 1.33959i
\(306\) −315178. 214884.i −0.192421 0.131190i
\(307\) −573086. 992615.i −0.347036 0.601084i 0.638686 0.769468i \(-0.279478\pi\)
−0.985721 + 0.168384i \(0.946145\pi\)
\(308\) −637100. + 1.10349e6i −0.382675 + 0.662813i
\(309\) −907072. + 436823.i −0.540438 + 0.260261i
\(310\) 2.23963e6 + 690834.i 1.32365 + 0.408291i
\(311\) −200803. 2.67953e6i −0.117725 1.57093i −0.673239 0.739425i \(-0.735097\pi\)
0.555514 0.831507i \(-0.312522\pi\)
\(312\) −220885. 967761.i −0.128464 0.562836i
\(313\) 355515. 905838.i 0.205115 0.522624i −0.790886 0.611963i \(-0.790380\pi\)
0.996001 + 0.0893387i \(0.0284753\pi\)
\(314\) 20428.8 272603.i 0.0116928 0.156029i
\(315\) 1.00958e6 152169.i 0.573275 0.0864073i
\(316\) −392360. 364057.i −0.221038 0.205093i
\(317\) 49069.6 + 23630.7i 0.0274261 + 0.0132077i 0.447547 0.894261i \(-0.352298\pi\)
−0.420120 + 0.907468i \(0.638012\pi\)
\(318\) −1.80968e6 + 1.23382e6i −1.00354 + 0.684203i
\(319\) 375796. + 957512.i 0.206764 + 0.526826i
\(320\) 2.86839e6 884783.i 1.56590 0.483016i
\(321\) 1.74681e6 1.62080e6i 0.946199 0.877944i
\(322\) −1.37056e6 + 1.71862e6i −0.736644 + 0.923722i
\(323\) −1.56288e6 + 1.95979e6i −0.833525 + 1.04521i
\(324\) −297503. + 276042.i −0.157445 + 0.146088i
\(325\) −1.41807e6 + 437418.i −0.744716 + 0.229714i
\(326\) −147017. 374592.i −0.0766165 0.195216i
\(327\) 593260. 404478.i 0.306814 0.209182i
\(328\) −506500. 243917.i −0.259953 0.125187i
\(329\) −1.58425e6 1.46997e6i −0.806924 0.748716i
\(330\) 3.37143e6 508161.i 1.70423 0.256872i
\(331\) −241800. + 3.22660e6i −0.121307 + 1.61873i 0.521877 + 0.853021i \(0.325232\pi\)
−0.643184 + 0.765712i \(0.722387\pi\)
\(332\) 112252. 286013.i 0.0558919 0.142410i
\(333\) 50852.8 + 222801.i 0.0251307 + 0.110105i
\(334\) −143244. 1.91146e6i −0.0702605 0.937561i
\(335\) −1.18695e6 366126.i −0.577858 0.178246i
\(336\) 1.47186e6 708809.i 0.711243 0.342516i
\(337\) −1.34463e6 + 2.32896e6i −0.644951 + 1.11709i 0.339362 + 0.940656i \(0.389789\pi\)
−0.984313 + 0.176432i \(0.943544\pi\)
\(338\) 544531. + 943156.i 0.259257 + 0.449047i
\(339\) −1.23028e6 838791.i −0.581440 0.396419i
\(340\) 251190. 1.10054e6i 0.117844 0.516306i
\(341\) 3.74120e6 + 563895.i 1.74231 + 0.262610i
\(342\) 331129. + 415222.i 0.153085 + 0.191962i
\(343\) 1.27334e6 0.584399
\(344\) −1.82449e6 + 1.54146e6i −0.831278 + 0.702323i
\(345\) −2.66678e6 −1.20625
\(346\) −445197. 558260.i −0.199923 0.250695i
\(347\) −2.78317e6 419496.i −1.24084 0.187027i −0.504365 0.863490i \(-0.668273\pi\)
−0.736476 + 0.676464i \(0.763512\pi\)
\(348\) −48341.2 + 211797.i −0.0213978 + 0.0937499i
\(349\) 834561. + 568994.i 0.366771 + 0.250060i 0.732655 0.680600i \(-0.238281\pi\)
−0.365884 + 0.930660i \(0.619233\pi\)
\(350\) −1.86599e6 3.23198e6i −0.814214 1.41026i
\(351\) −764884. + 1.32482e6i −0.331381 + 0.573969i
\(352\) 1.99309e6 959823.i 0.857375 0.412890i
\(353\) −2.27202e6 700826.i −0.970456 0.299346i −0.231301 0.972882i \(-0.574298\pi\)
−0.739154 + 0.673536i \(0.764775\pi\)
\(354\) −93234.5 1.24413e6i −0.0395429 0.527663i
\(355\) 1.35091e6 + 5.91874e6i 0.568927 + 2.49263i
\(356\) 518712. 1.32166e6i 0.216921 0.552706i
\(357\) 270798. 3.61355e6i 0.112454 1.50060i
\(358\) −1.66036e6 + 250259.i −0.684692 + 0.103201i
\(359\) −2.30161e6 2.13558e6i −0.942532 0.874542i 0.0497225 0.998763i \(-0.484166\pi\)
−0.992255 + 0.124221i \(0.960357\pi\)
\(360\) −906246. 436425.i −0.368545 0.177482i
\(361\) 837645. 571096.i 0.338292 0.230644i
\(362\) 137434. + 350176.i 0.0551217 + 0.140448i
\(363\) 3.18082e6 981154.i 1.26699 0.390815i
\(364\) −545905. + 506526.i −0.215955 + 0.200377i
\(365\) 2.73641e6 3.43134e6i 1.07510 1.34813i
\(366\) 1.04660e6 1.31240e6i 0.408395 0.512111i
\(367\) 1.14313e6 1.06067e6i 0.443028 0.411070i −0.426861 0.904317i \(-0.640381\pi\)
0.869889 + 0.493247i \(0.164190\pi\)
\(368\) 1.35428e6 417740.i 0.521301 0.160800i
\(369\) 63167.1 + 160947.i 0.0241505 + 0.0615343i
\(370\) 1.23244e6 840266.i 0.468019 0.319090i
\(371\) 6.22625e6 + 2.99840e6i 2.34851 + 1.13098i
\(372\) 585755. + 543502.i 0.219462 + 0.203631i
\(373\) −4.12329e6 + 621486.i −1.53452 + 0.231291i −0.861278 0.508134i \(-0.830336\pi\)
−0.673239 + 0.739425i \(0.735097\pi\)
\(374\) −300358. + 4.00800e6i −0.111035 + 1.48166i
\(375\) 354550. 903380.i 0.130197 0.331736i
\(376\) 473781. + 2.07577e6i 0.172826 + 0.757199i
\(377\) 44925.6 + 599490.i 0.0162795 + 0.217235i
\(378\) −3.67615e6 1.13394e6i −1.32332 0.408189i
\(379\) 2.35494e6 1.13408e6i 0.842135 0.405551i 0.0374828 0.999297i \(-0.488066\pi\)
0.804652 + 0.593746i \(0.202352\pi\)
\(380\) −785814. + 1.36107e6i −0.279165 + 0.483528i
\(381\) 1.13775e6 + 1.97064e6i 0.401545 + 0.695497i
\(382\) −919093. 626627.i −0.322256 0.219710i
\(383\) 521987. 2.28697e6i 0.181829 0.796644i −0.798930 0.601423i \(-0.794600\pi\)
0.980759 0.195221i \(-0.0625424\pi\)
\(384\) −751064. 113205.i −0.259925 0.0391775i
\(385\) −6.70719e6 8.41055e6i −2.30616 2.89183i
\(386\) 1.55141e6 0.529980
\(387\) 733799. + 34138.7i 0.249058 + 0.0115869i
\(388\) 363049. 0.122430
\(389\) 1.83977e6 + 2.30699e6i 0.616437 + 0.772987i 0.987838 0.155485i \(-0.0496941\pi\)
−0.371402 + 0.928472i \(0.621123\pi\)
\(390\) 1.97042e6 + 296993.i 0.655990 + 0.0988746i
\(391\) 699535. 3.06486e6i 0.231402 1.01384i
\(392\) −3.77207e6 2.57176e6i −1.23984 0.845307i
\(393\) 464490. + 804520.i 0.151703 + 0.262758i
\(394\) −440690. + 763297.i −0.143019 + 0.247715i
\(395\) 4.07131e6 1.96064e6i 1.31293 0.632273i
\(396\) −368930. 113800.i −0.118224 0.0364673i
\(397\) 166580. + 2.22286e6i 0.0530454 + 0.707842i 0.958808 + 0.284056i \(0.0916801\pi\)
−0.905762 + 0.423786i \(0.860701\pi\)
\(398\) 420707. + 1.84324e6i 0.133129 + 0.583276i
\(399\) −1.84318e6 + 4.69633e6i −0.579608 + 1.47682i
\(400\) −179809. + 2.39938e6i −0.0561902 + 0.749806i
\(401\) 1.77225e6 267124.i 0.550383 0.0829569i 0.132037 0.991245i \(-0.457848\pi\)
0.418346 + 0.908288i \(0.362610\pi\)
\(402\) 684714. + 635321.i 0.211322 + 0.196078i
\(403\) 1.99225e6 + 959416.i 0.611055 + 0.294269i
\(404\) −255875. + 174453.i −0.0779963 + 0.0531770i
\(405\) −1.25178e6 3.18949e6i −0.379220 0.966238i
\(406\) −1.44466e6 + 445618.i −0.434961 + 0.134168i
\(407\) 1.76511e6 1.63779e6i 0.528186 0.490085i
\(408\) −2.22587e6 + 2.79115e6i −0.661986 + 0.830104i
\(409\) 1.12116e6 1.40589e6i 0.331406 0.415569i −0.588012 0.808852i \(-0.700089\pi\)
0.919418 + 0.393283i \(0.128661\pi\)
\(410\) 827266. 767591.i 0.243044 0.225512i
\(411\) −1.37726e6 + 424828.i −0.402171 + 0.124053i
\(412\) −271854. 692674.i −0.0789030 0.201042i
\(413\) −3.25242e6 + 2.21746e6i −0.938277 + 0.639706i
\(414\) −600095. 288991.i −0.172076 0.0828673i
\(415\) 1.90153e6 + 1.76437e6i 0.541981 + 0.502885i
\(416\) 1.27845e6 192696.i 0.362203 0.0545932i
\(417\) −358890. + 4.78906e6i −0.101070 + 1.34868i
\(418\) 2.04437e6 5.20898e6i 0.572294 1.45818i
\(419\) −300844. 1.31808e6i −0.0837155 0.366782i 0.915666 0.401939i \(-0.131664\pi\)
−0.999382 + 0.0351578i \(0.988807\pi\)
\(420\) −169785. 2.26563e6i −0.0469653 0.626708i
\(421\) 227775. + 70259.2i 0.0626326 + 0.0193196i 0.325913 0.945400i \(-0.394328\pi\)
−0.263281 + 0.964719i \(0.584804\pi\)
\(422\) −5.08791e6 + 2.45021e6i −1.39078 + 0.669764i
\(423\) 327416. 567102.i 0.0889712 0.154103i
\(424\) −3.40413e6 5.89612e6i −0.919584 1.59277i
\(425\) 4.40976e6 + 3.00653e6i 1.18425 + 0.807407i
\(426\) 1.01586e6 4.45076e6i 0.271212 1.18826i
\(427\) −5.23715e6 789373.i −1.39003 0.209514i
\(428\) 1.09811e6 + 1.37699e6i 0.289759 + 0.363346i
\(429\) 3.21672e6 0.843859
\(430\) −1.54240e6 4.53988e6i −0.402277 1.18406i
\(431\) −5.40151e6 −1.40063 −0.700313 0.713836i \(-0.746956\pi\)
−0.700313 + 0.713836i \(0.746956\pi\)
\(432\) 1.54645e6 + 1.93918e6i 0.398681 + 0.499930i
\(433\) −3.28412e6 495001.i −0.841781 0.126878i −0.286023 0.958223i \(-0.592334\pi\)
−0.555757 + 0.831345i \(0.687572\pi\)
\(434\) −1.23739e6 + 5.42137e6i −0.315343 + 1.38161i
\(435\) −1.51540e6 1.03318e6i −0.383975 0.261790i
\(436\) 265348. + 459596.i 0.0668497 + 0.115787i
\(437\) −2.18840e6 + 3.79042e6i −0.548180 + 0.949475i
\(438\) −2.97349e6 + 1.43196e6i −0.740595 + 0.356652i
\(439\) −2.75754e6 850588.i −0.682905 0.210648i −0.0661573 0.997809i \(-0.521074\pi\)
−0.616748 + 0.787161i \(0.711550\pi\)
\(440\) 792002. + 1.05685e7i 0.195027 + 2.60245i
\(441\) 312442. + 1.36890e6i 0.0765019 + 0.335177i
\(442\) −858198. + 2.18665e6i −0.208945 + 0.532383i
\(443\) −31760.3 + 423812.i −0.00768910 + 0.102604i −0.999728 0.0233292i \(-0.992573\pi\)
0.992039 + 0.125933i \(0.0401925\pi\)
\(444\) 502867. 75795.0i 0.121059 0.0182467i
\(445\) 8.78692e6 + 8.15307e6i 2.10347 + 1.95174i
\(446\) −538519. 259337.i −0.128193 0.0617344i
\(447\) 1.49837e6 1.02157e6i 0.354690 0.241824i
\(448\) 2.60194e6 + 6.62965e6i 0.612496 + 1.56061i
\(449\) 2.16170e6 666797.i 0.506034 0.156091i −0.0312177 0.999513i \(-0.509939\pi\)
0.537252 + 0.843422i \(0.319462\pi\)
\(450\) 828926. 769131.i 0.192968 0.179048i
\(451\) 1.13584e6 1.42430e6i 0.262951 0.329730i
\(452\) 686174. 860435.i 0.157975 0.198094i
\(453\) 830136. 770254.i 0.190066 0.176355i
\(454\) 6.39966e6 1.97403e6i 1.45719 0.449485i
\(455\) −2.29697e6 5.85258e6i −0.520147 1.32531i
\(456\) 4.10670e6 2.79990e6i 0.924871 0.630566i
\(457\) −2.83776e6 1.36660e6i −0.635603 0.306090i 0.0881940 0.996103i \(-0.471890\pi\)
−0.723797 + 0.690013i \(0.757605\pi\)
\(458\) −3.06041e6 2.83964e6i −0.681734 0.632557i
\(459\) 5.44029e6 819992.i 1.20529 0.181668i
\(460\) 147295. 1.96552e6i 0.0324559 0.433094i
\(461\) −2.09373e6 + 5.33472e6i −0.458846 + 1.16912i 0.495018 + 0.868883i \(0.335162\pi\)
−0.953864 + 0.300239i \(0.902934\pi\)
\(462\) 1.80006e6 + 7.88659e6i 0.392358 + 1.71903i
\(463\) 448915. + 5.99036e6i 0.0973221 + 1.29867i 0.805481 + 0.592621i \(0.201907\pi\)
−0.708159 + 0.706053i \(0.750474\pi\)
\(464\) 931412. + 287303.i 0.200838 + 0.0619505i
\(465\) −6.07807e6 + 2.92704e6i −1.30357 + 0.627764i
\(466\) 1.94667e6 3.37174e6i 0.415268 0.719265i
\(467\) −4.43427e6 7.68038e6i −0.940871 1.62964i −0.763815 0.645435i \(-0.776676\pi\)
−0.177056 0.984201i \(-0.556657\pi\)
\(468\) −186436. 127110.i −0.0393474 0.0268266i
\(469\) 655790. 2.87320e6i 0.137668 0.603162i
\(470\) −4.22640e6 637027.i −0.882523 0.133019i
\(471\) 490591. + 615182.i 0.101898 + 0.127777i
\(472\) 3.87811e6 0.801244
\(473\) −3.55431e6 6.87565e6i −0.730470 1.41306i
\(474\) −3.39805e6 −0.694678
\(475\) −4.63294e6 5.80952e6i −0.942155 1.18143i
\(476\) 2.64837e6 + 399178.i 0.535749 + 0.0807511i
\(477\) −465940. + 2.04142e6i −0.0937636 + 0.410805i
\(478\) 1.37906e6 + 940227.i 0.276066 + 0.188219i
\(479\) 939256. + 1.62684e6i 0.187045 + 0.323971i 0.944264 0.329190i \(-0.106776\pi\)
−0.757219 + 0.653161i \(0.773442\pi\)
\(480\) −1.97222e6 + 3.41598e6i −0.390708 + 0.676726i
\(481\) 1.26792e6 610599.i 0.249879 0.120335i
\(482\) 4.25473e6 + 1.31241e6i 0.834170 + 0.257307i
\(483\) −472832. 6.30950e6i −0.0922229 1.23063i
\(484\) 547460. + 2.39858e6i 0.106228 + 0.465416i
\(485\) −1.11979e6 + 2.85319e6i −0.216164 + 0.550777i
\(486\) 156835. 2.09282e6i 0.0301199 0.401922i
\(487\) −1.04406e6 + 157367.i −0.199483 + 0.0300672i −0.248023 0.968754i \(-0.579781\pi\)
0.0485408 + 0.998821i \(0.484543\pi\)
\(488\) 3.82496e6 + 3.54904e6i 0.727072 + 0.674624i
\(489\) 1.04357e6 + 502556.i 0.197355 + 0.0950413i
\(490\) 7.57219e6 5.16263e6i 1.42473 0.971361i
\(491\) −2.92885e6 7.46259e6i −0.548268 1.39697i −0.889478 0.456978i \(-0.848932\pi\)
0.341210 0.939987i \(-0.389163\pi\)
\(492\) 367658. 113407.i 0.0684749 0.0211217i
\(493\) 1.58492e6 1.47059e6i 0.293691 0.272505i
\(494\) 2.03909e6 2.55694e6i 0.375940 0.471414i
\(495\) 2.03228e6 2.54840e6i 0.372795 0.467471i
\(496\) 2.62814e6 2.43855e6i 0.479671 0.445070i
\(497\) −1.37640e7 + 4.24563e6i −2.49950 + 0.770995i
\(498\) −712645. 1.81579e6i −0.128766 0.328089i
\(499\) −2.06708e6 + 1.40931e6i −0.371626 + 0.253370i −0.734703 0.678389i \(-0.762678\pi\)
0.363077 + 0.931759i \(0.381726\pi\)
\(500\) 646242. + 311214.i 0.115603 + 0.0556716i
\(501\) 4.04446e6 + 3.75271e6i 0.719889 + 0.667960i
\(502\) 1.34954e6 203410.i 0.239016 0.0360258i
\(503\) −730011. + 9.74132e6i −0.128650 + 1.71671i 0.443256 + 0.896395i \(0.353823\pi\)
−0.571906 + 0.820319i \(0.693796\pi\)
\(504\) 871885. 2.22153e6i 0.152891 0.389561i
\(505\) −581791. 2.54899e6i −0.101517 0.444775i
\(506\) 524445. + 6.99824e6i 0.0910592 + 1.21510i
\(507\) −2.99544e6 923970.i −0.517536 0.159639i
\(508\) −1.51528e6 + 729720.i −0.260515 + 0.125458i
\(509\) −3.03170e6 + 5.25106e6i −0.518671 + 0.898364i 0.481094 + 0.876669i \(0.340240\pi\)
−0.999765 + 0.0216948i \(0.993094\pi\)
\(510\) −3.58328e6 6.20643e6i −0.610036 1.05661i
\(511\) 8.60362e6 + 5.86585e6i 1.45757 + 0.993753i
\(512\) 1.31499e6 5.76135e6i 0.221691 0.971291i
\(513\) −7.57425e6 1.14163e6i −1.27071 0.191529i
\(514\) 576628. + 723069.i 0.0962693 + 0.120718i
\(515\) 6.28220e6 1.04374
\(516\) 197784. 1.62268e6i 0.0327015 0.268292i
\(517\) −6.89961e6 −1.13527
\(518\) 2.20656e6 + 2.76694e6i 0.361319 + 0.453080i
\(519\) 2.03230e6 + 306321.i 0.331185 + 0.0499181i
\(520\) −1.37831e6 + 6.03876e6i −0.223531 + 0.979354i
\(521\) −4.73462e6 3.22801e6i −0.764172 0.521004i 0.117382 0.993087i \(-0.462550\pi\)
−0.881554 + 0.472083i \(0.843502\pi\)
\(522\) −229042. 396712.i −0.0367907 0.0637233i
\(523\) 5.66779e6 9.81691e6i 0.906066 1.56935i 0.0865865 0.996244i \(-0.472404\pi\)
0.819480 0.573108i \(-0.194263\pi\)
\(524\) −618617. + 297910.i −0.0984224 + 0.0473977i
\(525\) 1.02647e7 + 3.16624e6i 1.62535 + 0.501355i
\(526\) −298827. 3.98756e6i −0.0470928 0.628410i
\(527\) −1.76961e6 7.75319e6i −0.277557 1.21606i
\(528\) 1.90542e6 4.85494e6i 0.297445 0.757878i
\(529\) −70789.2 + 944617.i −0.0109984 + 0.146763i
\(530\) 1.35145e7 2.03698e6i 2.08982 0.314990i
\(531\) −874335. 811264.i −0.134568 0.124861i
\(532\) −3.35957e6 1.61788e6i −0.514642 0.247838i
\(533\) 879706. 599773.i 0.134128 0.0914469i
\(534\) −3.29311e6 8.39070e6i −0.499750 1.27334i
\(535\) −1.42087e7 + 4.38280e6i −2.14620 + 0.662014i
\(536\) −2.12837e6 + 1.97484e6i −0.319989 + 0.296907i
\(537\) 3.01338e6 3.77865e6i 0.450939 0.565459i
\(538\) −5.25084e6 + 6.58434e6i −0.782119 + 0.980746i
\(539\) 1.08449e7 1.00626e7i 1.60788 1.49190i
\(540\) 3.29623e6 1.01675e6i 0.486445 0.150048i
\(541\) −169417. 431668.i −0.0248865 0.0634098i 0.917890 0.396834i \(-0.129891\pi\)
−0.942777 + 0.333424i \(0.891796\pi\)
\(542\) 4.59094e6 3.13005e6i 0.671279 0.457670i
\(543\) −975548. 469799.i −0.141987 0.0683774i
\(544\) −3.40857e6 3.16269e6i −0.493827 0.458204i
\(545\) −4.43038e6 + 667773.i −0.638925 + 0.0963025i
\(546\) −353311. + 4.71461e6i −0.0507195 + 0.676805i
\(547\) 1.39556e6 3.55582e6i 0.199425 0.508126i −0.795820 0.605534i \(-0.792960\pi\)
0.995245 + 0.0974075i \(0.0310550\pi\)
\(548\) −237044. 1.03856e6i −0.0337192 0.147733i
\(549\) −119925. 1.60029e6i −0.0169817 0.226604i
\(550\) −1.13852e7 3.51186e6i −1.60484 0.495029i
\(551\) −2.71206e6 + 1.30606e6i −0.380558 + 0.183267i
\(552\) −3.11674e6 + 5.39835e6i −0.435364 + 0.754073i
\(553\) 5.36066e6 + 9.28494e6i 0.745428 + 1.29112i
\(554\) −1.92425e6 1.31193e6i −0.266371 0.181609i
\(555\) −955380. + 4.18579e6i −0.131657 + 0.576827i
\(556\) −3.50990e6 529032.i −0.481512 0.0725763i
\(557\) −2.63322e6 3.30195e6i −0.359624 0.450954i 0.568801 0.822476i \(-0.307408\pi\)
−0.928424 + 0.371521i \(0.878836\pi\)
\(558\) −1.68492e6 −0.229084
\(559\) −800557. 4.45222e6i −0.108358 0.602624i
\(560\) −1.01938e7 −1.37362
\(561\) −7.21302e6 9.04484e6i −0.967631 1.21337i
\(562\) −2.16241e6 325931.i −0.288800 0.0435296i
\(563\) 76658.1 335861.i 0.0101926 0.0446569i −0.969576 0.244791i \(-0.921281\pi\)
0.979769 + 0.200134i \(0.0641378\pi\)
\(564\) −1.20399e6 820868.i −0.159377 0.108661i
\(565\) 4.64567e6 + 8.04654e6i 0.612248 + 1.06045i
\(566\) −4.40268e6 + 7.62567e6i −0.577665 + 1.00055i
\(567\) 7.32428e6 3.52719e6i 0.956769 0.460756i
\(568\) 1.35601e7 + 4.18275e6i 1.76357 + 0.543990i
\(569\) 900157. + 1.20118e7i 0.116557 + 1.55534i 0.682492 + 0.730893i \(0.260896\pi\)
−0.565935 + 0.824450i \(0.691485\pi\)
\(570\) 2.22024e6 + 9.72750e6i 0.286228 + 1.25405i
\(571\) 589023. 1.50081e6i 0.0756035 0.192635i −0.888076 0.459697i \(-0.847958\pi\)
0.963679 + 0.267063i \(0.0860531\pi\)
\(572\) −177670. + 2.37085e6i −0.0227052 + 0.302979i
\(573\) 3.16606e6 477207.i 0.402840 0.0607184i
\(574\) 1.96277e6 + 1.82119e6i 0.248651 + 0.230714i
\(575\) 8.39615e6 + 4.04337e6i 1.05904 + 0.510004i
\(576\) −1.78299e6 + 1.21562e6i −0.223919 + 0.152666i
\(577\) 2.31439e6 + 5.89697e6i 0.289399 + 0.737377i 0.999448 + 0.0332246i \(0.0105777\pi\)
−0.710049 + 0.704153i \(0.751327\pi\)
\(578\) 1.70646e6 526373.i 0.212460 0.0655351i
\(579\) −3.27345e6 + 3.03732e6i −0.405798 + 0.376525i
\(580\) 845193. 1.05984e6i 0.104324 0.130819i
\(581\) −3.83728e6 + 4.81180e6i −0.471610 + 0.591380i
\(582\) 1.68958e6 1.56770e6i 0.206763 0.191848i
\(583\) 2.10823e7 6.50302e6i 2.56889 0.792399i
\(584\) −3.74795e6 9.54961e6i −0.454738 1.15865i
\(585\) 1.57400e6 1.07313e6i 0.190158 0.129648i
\(586\) 6.80914e6 + 3.27911e6i 0.819121 + 0.394468i
\(587\) 1.14200e7 + 1.05962e7i 1.36796 + 1.26928i 0.928658 + 0.370936i \(0.120963\pi\)
0.439298 + 0.898342i \(0.355227\pi\)
\(588\) 3.08964e6 465688.i 0.368522 0.0555458i
\(589\) −827410. + 1.10410e7i −0.0982726 + 1.31136i
\(590\) −2.84420e6 + 7.24689e6i −0.336380 + 0.857081i
\(591\) −564517. 2.47331e6i −0.0664827 0.291280i
\(592\) −170513. 2.27534e6i −0.0199965 0.266835i
\(593\) 6.77554e6 + 2.08998e6i 0.791238 + 0.244065i 0.663926 0.747798i \(-0.268889\pi\)
0.127312 + 0.991863i \(0.459365\pi\)
\(594\) −1.10656e7 + 5.32892e6i −1.28680 + 0.619688i
\(595\) −1.13058e7 + 1.95822e7i −1.30921 + 2.26761i
\(596\) 670176. + 1.16078e6i 0.0772810 + 0.133855i
\(597\) −4.49633e6 3.06554e6i −0.516324 0.352024i
\(598\) −912684. + 3.99873e6i −0.104368 + 0.457266i
\(599\) −30576.8 4608.71i −0.00348197 0.000524822i 0.147301 0.989092i \(-0.452941\pi\)
−0.150783 + 0.988567i \(0.548179\pi\)
\(600\) −6.59828e6 8.27398e6i −0.748260 0.938288i
\(601\) 7.72060e6 0.871896 0.435948 0.899972i \(-0.356413\pi\)
0.435948 + 0.899972i \(0.356413\pi\)
\(602\) 1.04677e7 4.45420e6i 1.17723 0.500932i
\(603\) 892969. 0.100010
\(604\) 521855. + 654386.i 0.0582046 + 0.0729863i
\(605\) −2.05389e7 3.09575e6i −2.28134 0.343856i
\(606\) −437494. + 1.91679e6i −0.0483939 + 0.212027i
\(607\) −2.01592e6 1.37443e6i −0.222076 0.151409i 0.447172 0.894448i \(-0.352431\pi\)
−0.669248 + 0.743039i \(0.733384\pi\)
\(608\) 3.23687e6 + 5.60642e6i 0.355112 + 0.615073i
\(609\) 2.17578e6 3.76856e6i 0.237723 0.411749i
\(610\) −9.43720e6 + 4.54472e6i −1.02688 + 0.494518i
\(611\) −3.85331e6 1.18859e6i −0.417571 0.128804i
\(612\) 60645.0 + 809251.i 0.00654510 + 0.0873383i
\(613\) −2.41517e6 1.05816e7i −0.259595 1.13736i −0.921686 0.387937i \(-0.873188\pi\)
0.662091 0.749424i \(-0.269669\pi\)
\(614\) 1.96487e6 5.00641e6i 0.210336 0.535926i
\(615\) −242745. + 3.23920e6i −0.0258799 + 0.345343i
\(616\) −2.48644e7 + 3.74770e6i −2.64013 + 0.397936i
\(617\) −9.28790e6 8.61791e6i −0.982211 0.911358i 0.0138616 0.999904i \(-0.495588\pi\)
−0.996072 + 0.0885457i \(0.971778\pi\)
\(618\) −4.25625e6 2.04970e6i −0.448286 0.215883i
\(619\) 2.03903e6 1.39019e6i 0.213894 0.145830i −0.451634 0.892203i \(-0.649159\pi\)
0.665528 + 0.746373i \(0.268206\pi\)
\(620\) −1.82163e6 4.64144e6i −0.190318 0.484923i
\(621\) 9.17961e6 2.83154e6i 0.955202 0.294641i
\(622\) 9.24260e6 8.57588e6i 0.957896 0.888798i
\(623\) −1.77319e7 + 2.22351e7i −1.83036 + 2.29519i
\(624\) 1.90050e6 2.38315e6i 0.195392 0.245013i
\(625\) 4.67273e6 4.33566e6i 0.478487 0.443971i
\(626\) 4.36323e6 1.34588e6i 0.445013 0.137268i
\(627\) 5.88442e6 + 1.49933e7i 0.597771 + 1.52310i
\(628\) −480509. + 327606.i −0.0486186 + 0.0331476i
\(629\) −4.56002e6 2.19599e6i −0.459558 0.221312i
\(630\) 3.51186e6 + 3.25853e6i 0.352521 + 0.327092i
\(631\) 1.43777e7 2.16708e6i 1.43752 0.216672i 0.616404 0.787430i \(-0.288589\pi\)
0.821118 + 0.570758i \(0.193351\pi\)
\(632\) 789339. 1.05330e7i 0.0786087 1.04896i
\(633\) 5.93843e6 1.51309e7i 0.589064 1.50091i
\(634\) 56866.8 + 249150.i 0.00561869 + 0.0246171i
\(635\) −1.06109e6 1.41593e7i −0.104428 1.39350i
\(636\) 4.45257e6 + 1.37344e6i 0.436483 + 0.134637i
\(637\) 7.79017e6 3.75155e6i 0.760673 0.366321i
\(638\) −2.41328e6 + 4.17993e6i −0.234724 + 0.406553i
\(639\) −2.18220e6 3.77967e6i −0.211418 0.366186i
\(640\) 3.91598e6 + 2.66987e6i 0.377912 + 0.257656i
\(641\) 379297. 1.66181e6i 0.0364615 0.159748i −0.953420 0.301647i \(-0.902464\pi\)
0.989881 + 0.141899i \(0.0453207\pi\)
\(642\) 1.10565e7 + 1.66650e6i 1.05872 + 0.159576i
\(643\) −8.14933e6 1.02189e7i −0.777310 0.974716i 0.222690 0.974889i \(-0.428516\pi\)
−1.00000 0.000173477i \(0.999945\pi\)
\(644\) 4.67646e6 0.444327
\(645\) 1.21425e7 + 6.55938e6i 1.14923 + 0.620817i
\(646\) −1.17620e7 −1.10892
\(647\) 8.09719e6 + 1.01535e7i 0.760455 + 0.953580i 0.999850 0.0173422i \(-0.00552046\pi\)
−0.239395 + 0.970922i \(0.576949\pi\)
\(648\) −7.91948e6 1.19367e6i −0.740899 0.111673i
\(649\) −2.79646e6 + 1.22521e7i −0.260613 + 1.14182i
\(650\) −5.75342e6 3.92261e6i −0.534125 0.364160i
\(651\) −8.00295e6 1.38615e7i −0.740112 1.28191i
\(652\) −428043. + 741392.i −0.0394338 + 0.0683013i
\(653\) 4.02846e6 1.94000e6i 0.369706 0.178041i −0.239800 0.970822i \(-0.577082\pi\)
0.609506 + 0.792781i \(0.291368\pi\)
\(654\) 3.21950e6 + 993084.i 0.294336 + 0.0907907i
\(655\) −433193. 5.78056e6i −0.0394529 0.526462i
\(656\) −384134. 1.68300e6i −0.0348516 0.152695i
\(657\) −1.15270e6 + 2.93703e6i −0.104185 + 0.265458i
\(658\) 757824. 1.01125e7i 0.0682345 0.910525i
\(659\) 4.44337e6 669730.i 0.398565 0.0600740i 0.0532982 0.998579i \(-0.483027\pi\)
0.345267 + 0.938505i \(0.387789\pi\)
\(660\) −5.31712e6 4.93356e6i −0.475134 0.440860i
\(661\) −3.04949e6 1.46856e6i −0.271471 0.130734i 0.293196 0.956052i \(-0.405281\pi\)
−0.564667 + 0.825319i \(0.690995\pi\)
\(662\) −1.25445e7 + 8.55267e6i −1.11252 + 0.758502i
\(663\) −2.47019e6 6.29395e6i −0.218246 0.556083i
\(664\) 5.79398e6 1.78721e6i 0.509984 0.157309i
\(665\) 2.30772e7 2.14125e7i 2.02362 1.87764i
\(666\) −668588. + 838382.i −0.0584080 + 0.0732414i
\(667\) 2.35376e6 2.95152e6i 0.204856 0.256881i
\(668\) −2.98928e6 + 2.77364e6i −0.259194 + 0.240497i
\(669\) 1.64399e6 507103.i 0.142015 0.0438057i
\(670\) −2.12938e6 5.42557e6i −0.183259 0.466937i
\(671\) −1.39706e7 + 9.52500e6i −1.19787 + 0.816693i
\(672\) −8.43178e6 4.06053e6i −0.720271 0.346864i
\(673\) −1.49081e7 1.38327e7i −1.26877 1.17725i −0.975204 0.221310i \(-0.928967\pi\)
−0.293568 0.955938i \(-0.594843\pi\)
\(674\) −1.24778e7 + 1.88073e6i −1.05801 + 0.159469i
\(675\) −1.21878e6 + 1.62636e7i −0.102960 + 1.37390i
\(676\) 846449. 2.15672e6i 0.0712417 0.181521i
\(677\) 2.66553e6 + 1.16784e7i 0.223517 + 0.979294i 0.954807 + 0.297227i \(0.0960617\pi\)
−0.731290 + 0.682067i \(0.761081\pi\)
\(678\) −522131. 6.96735e6i −0.0436220 0.582095i
\(679\) −6.94909e6 2.14351e6i −0.578433 0.178423i
\(680\) 2.00706e7 9.66548e6i 1.66451 0.801588i
\(681\) −9.63844e6 + 1.66943e7i −0.796414 + 1.37943i
\(682\) 8.87654e6 + 1.53746e7i 0.730773 + 1.26574i
\(683\) 8.77059e6 + 5.97968e6i 0.719411 + 0.490486i 0.866840 0.498587i \(-0.166147\pi\)
−0.147429 + 0.989073i \(0.547100\pi\)
\(684\) 251413. 1.10151e6i 0.0205470 0.0900221i
\(685\) 8.89311e6 + 1.34042e6i 0.724148 + 0.109148i
\(686\) 3.72528e6 + 4.67136e6i 0.302238 + 0.378994i
\(687\) 1.20168e7 0.971395
\(688\) −7.19386e6 1.42900e6i −0.579417 0.115096i
\(689\) 1.28943e7 1.03479
\(690\) −7.80191e6 9.78329e6i −0.623847 0.782280i
\(691\) −4.64925e6 700762.i −0.370415 0.0558310i −0.0388026 0.999247i \(-0.512354\pi\)
−0.331612 + 0.943416i \(0.607592\pi\)
\(692\) −338021. + 1.48097e6i −0.0268336 + 0.117566i
\(693\) 6.38975e6 + 4.35646e6i 0.505418 + 0.344588i
\(694\) −6.60348e6 1.14376e7i −0.520444 0.901436i
\(695\) 1.49836e7 2.59524e7i 1.17667 2.03805i
\(696\) −3.86255e6 + 1.86011e6i −0.302239 + 0.145551i
\(697\) −3.65906e6 1.12867e6i −0.285291 0.0880006i
\(698\) 354187. + 4.72630e6i 0.0275166 + 0.367183i
\(699\) 2.49366e6 + 1.09254e7i 0.193039 + 0.845758i
\(700\) −2.90059e6 + 7.39058e6i −0.223739 + 0.570077i
\(701\) 831567. 1.10965e7i 0.0639149 0.852886i −0.869465 0.493995i \(-0.835536\pi\)
0.933380 0.358891i \(-0.116845\pi\)
\(702\) −7.09795e6 + 1.06984e6i −0.543613 + 0.0819365i
\(703\) 5.16547e6 + 4.79285e6i 0.394204 + 0.365768i
\(704\) 2.04855e7 + 9.86529e6i 1.55781 + 0.750202i
\(705\) 1.01648e7 6.93022e6i 0.770238 0.525139i
\(706\) −4.07598e6 1.03854e7i −0.307766 0.784175i
\(707\) 5.92767e6 1.82845e6i 0.446001 0.137573i
\(708\) −1.94565e6 + 1.80530e6i −0.145875 + 0.135353i
\(709\) −9.45902e6 + 1.18612e7i −0.706692 + 0.886164i −0.997504 0.0706163i \(-0.977503\pi\)
0.290811 + 0.956780i \(0.406075\pi\)
\(710\) −1.77611e7 + 2.22718e7i −1.32229 + 1.65809i
\(711\) −2.38137e6 + 2.20958e6i −0.176666 + 0.163922i
\(712\) 2.67738e7 8.25862e6i 1.97929 0.610530i
\(713\) −5.07302e6 1.29258e7i −0.373717 0.952215i
\(714\) 1.40489e7 9.57835e6i 1.03133 0.703146i
\(715\) −1.80844e7 8.70897e6i −1.32293 0.637091i
\(716\) 2.61857e6 + 2.42968e6i 0.190890 + 0.177120i
\(717\) −4.75054e6 + 716028.i −0.345100 + 0.0520154i
\(718\) 1.10098e6 1.46915e7i 0.0797016 1.06354i
\(719\) −5.42996e6 + 1.38353e7i −0.391719 + 0.998084i 0.589942 + 0.807446i \(0.299151\pi\)
−0.981660 + 0.190638i \(0.938944\pi\)
\(720\) −687305. 3.01128e6i −0.0494104 0.216481i
\(721\) 1.11386e6 + 1.48635e7i 0.0797983 + 1.06483i
\(722\) 4.54572e6 + 1.40217e6i 0.324534 + 0.100105i
\(723\) −1.15468e7 + 5.56065e6i −0.821516 + 0.395621i
\(724\) 400143. 693068.i 0.0283706 0.0491393i
\(725\) 3.20460e6 + 5.55053e6i 0.226427 + 0.392184i
\(726\) 1.29053e7 + 8.79865e6i 0.908709 + 0.619547i
\(727\) −65189.0 + 285612.i −0.00457445 + 0.0200420i −0.977164 0.212488i \(-0.931843\pi\)
0.972589 + 0.232530i \(0.0747004\pi\)
\(728\) −1.45319e7 2.19033e6i −1.01623 0.153173i
\(729\) 9.92603e6 + 1.24468e7i 0.691762 + 0.867442i
\(730\) 2.05938e7 1.43031
\(731\) −1.07237e7 + 1.22345e7i −0.742252 + 0.846820i
\(732\) −3.57111e6 −0.246334
\(733\) −5.66347e6 7.10176e6i −0.389334 0.488209i 0.548080 0.836426i \(-0.315359\pi\)
−0.937414 + 0.348216i \(0.886787\pi\)
\(734\) 7.23550e6 + 1.09058e6i 0.495711 + 0.0747164i
\(735\) −5.86989e6 + 2.57177e7i −0.400785 + 1.75596i
\(736\) −6.70816e6 4.57354e6i −0.456466 0.311213i
\(737\) −4.70436e6 8.14819e6i −0.319030 0.552577i
\(738\) −405647. + 702600.i −0.0274162 + 0.0474862i
\(739\) −2.10651e7 + 1.01444e7i −1.41890 + 0.683307i −0.976898 0.213707i \(-0.931446\pi\)
−0.442003 + 0.897013i \(0.645732\pi\)
\(740\) −3.03232e6 935347.i −0.203562 0.0627904i
\(741\) 703470. + 9.38715e6i 0.0470652 + 0.628042i
\(742\) 7.21560e6 + 3.16136e7i 0.481131 + 2.10797i
\(743\) 7.95333e6 2.02648e7i 0.528539 1.34670i −0.378481 0.925609i \(-0.623554\pi\)
0.907020 0.421087i \(-0.138351\pi\)
\(744\) −1.17841e6 + 1.57247e7i −0.0780481 + 1.04148i
\(745\) −1.11896e7 + 1.68656e6i −0.738625 + 0.111330i
\(746\) −1.43431e7 1.33084e7i −0.943614 0.875546i
\(747\) −1.68014e6 809115.i −0.110165 0.0530528i
\(748\) 7.06479e6 4.81669e6i 0.461684 0.314771i
\(749\) −1.28888e7 3.28402e7i −0.839477 2.13895i
\(750\) 4.35140e6 1.34223e6i 0.282472 0.0871311i
\(751\) 1.30934e7 1.21489e7i 0.847137 0.786028i −0.131567 0.991307i \(-0.542001\pi\)
0.978703 + 0.205279i \(0.0658102\pi\)
\(752\) −4.07642e6 + 5.11167e6i −0.262866 + 0.329623i
\(753\) −2.44927e6 + 3.07129e6i −0.157416 + 0.197394i
\(754\) −2.06785e6 + 1.91868e6i