Properties

Label 43.6.g.a.10.3
Level 43
Weight 6
Character 43.10
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 10.3
Character \(\chi\) \(=\) 43.10
Dual form 43.6.g.a.13.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.91263 - 8.37977i) q^{2} +(7.67423 + 7.12065i) q^{3} +(-37.7314 + 18.1705i) q^{4} +(59.1521 - 8.91575i) q^{5} +(44.9914 - 77.9274i) q^{6} +(-90.2330 - 156.288i) q^{7} +(52.9405 + 66.3853i) q^{8} +(-9.96919 - 133.030i) q^{9} +O(q^{10})\) \(q+(-1.91263 - 8.37977i) q^{2} +(7.67423 + 7.12065i) q^{3} +(-37.7314 + 18.1705i) q^{4} +(59.1521 - 8.91575i) q^{5} +(44.9914 - 77.9274i) q^{6} +(-90.2330 - 156.288i) q^{7} +(52.9405 + 66.3853i) q^{8} +(-9.96919 - 133.030i) q^{9} +(-187.848 - 478.629i) q^{10} +(115.836 + 55.7837i) q^{11} +(-418.945 - 129.227i) q^{12} +(-51.2529 + 130.590i) q^{13} +(-1137.08 + 1055.05i) q^{14} +(517.433 + 352.780i) q^{15} +(-380.512 + 477.147i) q^{16} +(106.328 + 16.0263i) q^{17} +(-1095.69 + 337.976i) q^{18} +(174.094 - 2323.12i) q^{19} +(-2069.89 + 1411.23i) q^{20} +(420.403 - 1841.91i) q^{21} +(245.903 - 1077.37i) q^{22} +(-710.709 + 484.553i) q^{23} +(-66.4285 + 886.427i) q^{24} +(433.320 - 133.662i) q^{25} +(1192.34 + 179.717i) q^{26} +(2456.87 - 3080.82i) q^{27} +(6244.45 + 4257.39i) q^{28} +(-418.056 + 387.900i) q^{29} +(1966.56 - 5010.71i) q^{30} +(9895.97 + 3052.50i) q^{31} +(7174.20 + 3454.91i) q^{32} +(491.736 + 1252.92i) q^{33} +(-69.0684 - 921.654i) q^{34} +(-6730.90 - 8440.28i) q^{35} +(2793.36 + 4838.25i) q^{36} +(-2660.21 + 4607.62i) q^{37} +(-19800.2 + 2984.40i) q^{38} +(-1323.21 + 637.226i) q^{39} +(3723.42 + 3454.83i) q^{40} +(-508.372 - 2227.32i) q^{41} -16238.8 q^{42} +(7054.05 + 9861.48i) q^{43} -5384.27 q^{44} +(-1775.76 - 7780.10i) q^{45} +(5419.77 + 5028.81i) q^{46} +(20560.5 - 9901.40i) q^{47} +(-6317.73 + 952.244i) q^{48} +(-7880.48 + 13649.4i) q^{49} +(-1948.83 - 3375.48i) q^{50} +(701.865 + 880.111i) q^{51} +(-439.045 - 5858.64i) q^{52} +(6661.42 + 16973.0i) q^{53} +(-30515.6 - 14695.5i) q^{54} +(7349.30 + 2266.96i) q^{55} +(5598.25 - 14264.1i) q^{56} +(17878.2 - 16588.5i) q^{57} +(4050.10 + 2761.31i) q^{58} +(-980.576 + 1229.60i) q^{59} +(-25933.7 - 3908.87i) q^{60} +(7440.32 - 2295.03i) q^{61} +(6651.96 - 88764.3i) q^{62} +(-19891.4 + 13561.7i) q^{63} +(10884.1 - 47686.3i) q^{64} +(-1867.41 + 8181.65i) q^{65} +(9558.70 - 6517.01i) q^{66} +(-4981.33 + 66471.2i) q^{67} +(-4303.10 + 1327.33i) q^{68} +(-8904.48 - 1342.13i) q^{69} +(-57853.9 + 72546.5i) q^{70} +(-32954.7 - 22468.1i) q^{71} +(8303.44 - 7704.46i) q^{72} +(15507.3 - 39512.0i) q^{73} +(43698.8 + 13479.3i) q^{74} +(4277.16 + 2059.77i) q^{75} +(35643.5 + 90818.1i) q^{76} +(-1733.90 - 23137.3i) q^{77} +(7870.62 + 9869.45i) q^{78} +(18533.1 + 32100.2i) q^{79} +(-18254.0 + 31616.8i) q^{80} +(8737.24 - 1316.93i) q^{81} +(-17692.1 + 8520.07i) q^{82} +(68823.8 + 63859.2i) q^{83} +(17605.9 + 77136.7i) q^{84} +6432.40 q^{85} +(69145.2 - 77972.7i) q^{86} -5970.36 q^{87} +(2429.20 + 10643.0i) q^{88} +(-97260.3 - 90244.4i) q^{89} +(-61799.1 + 29760.9i) q^{90} +(25034.4 - 3773.33i) q^{91} +(18011.5 - 31196.8i) q^{92} +(54208.2 + 93891.3i) q^{93} +(-122296. - 153354. i) q^{94} +(-10414.4 - 138970. i) q^{95} +(30455.2 + 77598.7i) q^{96} +(112548. + 54200.3i) q^{97} +(129451. + 39930.4i) q^{98} +(6266.08 - 15965.7i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.91263 8.37977i −0.338108 1.48135i −0.802999 0.595980i \(-0.796764\pi\)
0.464891 0.885368i \(-0.346093\pi\)
\(3\) 7.67423 + 7.12065i 0.492302 + 0.456790i 0.886831 0.462094i \(-0.152902\pi\)
−0.394529 + 0.918884i \(0.629092\pi\)
\(4\) −37.7314 + 18.1705i −1.17911 + 0.567828i
\(5\) 59.1521 8.91575i 1.05815 0.159490i 0.403159 0.915130i \(-0.367912\pi\)
0.654987 + 0.755640i \(0.272674\pi\)
\(6\) 44.9914 77.9274i 0.510213 0.883715i
\(7\) −90.2330 156.288i −0.696017 1.20554i −0.969836 0.243756i \(-0.921620\pi\)
0.273819 0.961781i \(-0.411713\pi\)
\(8\) 52.9405 + 66.3853i 0.292458 + 0.366731i
\(9\) −9.96919 133.030i −0.0410255 0.547447i
\(10\) −187.848 478.629i −0.594027 1.51356i
\(11\) 115.836 + 55.7837i 0.288643 + 0.139003i 0.572603 0.819833i \(-0.305934\pi\)
−0.283959 + 0.958836i \(0.591648\pi\)
\(12\) −418.945 129.227i −0.839854 0.259061i
\(13\) −51.2529 + 130.590i −0.0841124 + 0.214315i −0.966742 0.255755i \(-0.917676\pi\)
0.882629 + 0.470070i \(0.155771\pi\)
\(14\) −1137.08 + 1055.05i −1.55049 + 1.43865i
\(15\) 517.433 + 352.780i 0.593781 + 0.404833i
\(16\) −380.512 + 477.147i −0.371593 + 0.465963i
\(17\) 106.328 + 16.0263i 0.0892327 + 0.0134497i 0.193507 0.981099i \(-0.438014\pi\)
−0.104274 + 0.994549i \(0.533252\pi\)
\(18\) −1095.69 + 337.976i −0.797088 + 0.245869i
\(19\) 174.094 2323.12i 0.110637 1.47635i −0.615141 0.788417i \(-0.710901\pi\)
0.725778 0.687929i \(-0.241480\pi\)
\(20\) −2069.89 + 1411.23i −1.15710 + 0.788900i
\(21\) 420.403 1841.91i 0.208026 0.911422i
\(22\) 245.903 1077.37i 0.108320 0.474580i
\(23\) −710.709 + 484.553i −0.280138 + 0.190995i −0.695235 0.718782i \(-0.744700\pi\)
0.415097 + 0.909777i \(0.363748\pi\)
\(24\) −66.4285 + 886.427i −0.0235411 + 0.314134i
\(25\) 433.320 133.662i 0.138663 0.0427717i
\(26\) 1192.34 + 179.717i 0.345914 + 0.0521382i
\(27\) 2456.87 3080.82i 0.648594 0.813311i
\(28\) 6244.45 + 4257.39i 1.50522 + 1.02624i
\(29\) −418.056 + 387.900i −0.0923081 + 0.0856494i −0.724977 0.688773i \(-0.758150\pi\)
0.632669 + 0.774422i \(0.281959\pi\)
\(30\) 1966.56 5010.71i 0.398936 1.01647i
\(31\) 9895.97 + 3052.50i 1.84950 + 0.570495i 0.999009 + 0.0445046i \(0.0141709\pi\)
0.850490 + 0.525991i \(0.176305\pi\)
\(32\) 7174.20 + 3454.91i 1.23851 + 0.596433i
\(33\) 491.736 + 1252.92i 0.0786045 + 0.200281i
\(34\) −69.0684 921.654i −0.0102467 0.136732i
\(35\) −6730.90 8440.28i −0.928759 1.16463i
\(36\) 2793.36 + 4838.25i 0.359229 + 0.622202i
\(37\) −2660.21 + 4607.62i −0.319456 + 0.553315i −0.980375 0.197143i \(-0.936834\pi\)
0.660918 + 0.750458i \(0.270167\pi\)
\(38\) −19800.2 + 2984.40i −2.22439 + 0.335273i
\(39\) −1323.21 + 637.226i −0.139306 + 0.0670860i
\(40\) 3723.42 + 3454.83i 0.367953 + 0.341410i
\(41\) −508.372 2227.32i −0.0472304 0.206930i 0.945807 0.324729i \(-0.105273\pi\)
−0.993037 + 0.117799i \(0.962416\pi\)
\(42\) −16238.8 −1.42047
\(43\) 7054.05 + 9861.48i 0.581791 + 0.813338i
\(44\) −5384.27 −0.419271
\(45\) −1775.76 7780.10i −0.130723 0.572735i
\(46\) 5419.77 + 5028.81i 0.377647 + 0.350405i
\(47\) 20560.5 9901.40i 1.35765 0.653811i 0.393540 0.919307i \(-0.371250\pi\)
0.964112 + 0.265497i \(0.0855360\pi\)
\(48\) −6317.73 + 952.244i −0.395784 + 0.0596548i
\(49\) −7880.48 + 13649.4i −0.468881 + 0.812125i
\(50\) −1948.83 3375.48i −0.110243 0.190946i
\(51\) 701.865 + 880.111i 0.0377858 + 0.0473819i
\(52\) −439.045 5858.64i −0.0225165 0.300461i
\(53\) 6661.42 + 16973.0i 0.325744 + 0.829983i 0.996124 + 0.0879645i \(0.0280362\pi\)
−0.670379 + 0.742019i \(0.733869\pi\)
\(54\) −30515.6 14695.5i −1.42409 0.685806i
\(55\) 7349.30 + 2266.96i 0.327596 + 0.101050i
\(56\) 5598.25 14264.1i 0.238552 0.607820i
\(57\) 17878.2 16588.5i 0.728846 0.676271i
\(58\) 4050.10 + 2761.31i 0.158087 + 0.107782i
\(59\) −980.576 + 1229.60i −0.0366734 + 0.0459870i −0.799830 0.600227i \(-0.795077\pi\)
0.763157 + 0.646214i \(0.223648\pi\)
\(60\) −25933.7 3908.87i −0.930006 0.140176i
\(61\) 7440.32 2295.03i 0.256016 0.0789704i −0.164091 0.986445i \(-0.552469\pi\)
0.420106 + 0.907475i \(0.361993\pi\)
\(62\) 6651.96 88764.3i 0.219771 2.93264i
\(63\) −19891.4 + 13561.7i −0.631413 + 0.430490i
\(64\) 10884.1 47686.3i 0.332156 1.45527i
\(65\) −1867.41 + 8181.65i −0.0548221 + 0.240191i
\(66\) 9558.70 6517.01i 0.270109 0.184157i
\(67\) −4981.33 + 66471.2i −0.135568 + 1.80903i 0.352054 + 0.935980i \(0.385483\pi\)
−0.487622 + 0.873055i \(0.662136\pi\)
\(68\) −4303.10 + 1327.33i −0.112852 + 0.0348102i
\(69\) −8904.48 1342.13i −0.225157 0.0339370i
\(70\) −57853.9 + 72546.5i −1.41120 + 1.76958i
\(71\) −32954.7 22468.1i −0.775838 0.528958i 0.109454 0.993992i \(-0.465090\pi\)
−0.885293 + 0.465034i \(0.846042\pi\)
\(72\) 8303.44 7704.46i 0.188767 0.175150i
\(73\) 15507.3 39512.0i 0.340588 0.867805i −0.653268 0.757127i \(-0.726602\pi\)
0.993856 0.110678i \(-0.0353023\pi\)
\(74\) 43698.8 + 13479.3i 0.927662 + 0.286146i
\(75\) 4277.16 + 2059.77i 0.0878016 + 0.0422830i
\(76\) 35643.5 + 90818.1i 0.707858 + 1.80359i
\(77\) −1733.90 23137.3i −0.0333271 0.444719i
\(78\) 7870.62 + 9869.45i 0.146478 + 0.183678i
\(79\) 18533.1 + 32100.2i 0.334102 + 0.578682i 0.983312 0.181927i \(-0.0582336\pi\)
−0.649210 + 0.760610i \(0.724900\pi\)
\(80\) −18254.0 + 31616.8i −0.318884 + 0.552323i
\(81\) 8737.24 1316.93i 0.147966 0.0223023i
\(82\) −17692.1 + 8520.07i −0.290566 + 0.139929i
\(83\) 68823.8 + 63859.2i 1.09659 + 1.01749i 0.999754 + 0.0221850i \(0.00706228\pi\)
0.0968347 + 0.995300i \(0.469128\pi\)
\(84\) 17605.9 + 77136.7i 0.272246 + 1.19279i
\(85\) 6432.40 0.0965663
\(86\) 69145.2 77972.7i 1.00813 1.13683i
\(87\) −5970.36 −0.0845673
\(88\) 2429.20 + 10643.0i 0.0334393 + 0.146507i
\(89\) −97260.3 90244.4i −1.30155 1.20766i −0.963862 0.266403i \(-0.914165\pi\)
−0.337688 0.941258i \(-0.609645\pi\)
\(90\) −61799.1 + 29760.9i −0.804222 + 0.387293i
\(91\) 25034.4 3773.33i 0.316908 0.0477663i
\(92\) 18011.5 31196.8i 0.221860 0.384274i
\(93\) 54208.2 + 93891.3i 0.649916 + 1.12569i
\(94\) −122296. 153354.i −1.42755 1.79010i
\(95\) −10414.4 138970.i −0.118392 1.57983i
\(96\) 30455.2 + 77598.7i 0.337275 + 0.859363i
\(97\) 112548. + 54200.3i 1.21453 + 0.584888i 0.927784 0.373118i \(-0.121711\pi\)
0.286748 + 0.958006i \(0.407426\pi\)
\(98\) 129451. + 39930.4i 1.36157 + 0.419989i
\(99\) 6266.08 15965.7i 0.0642552 0.163720i
\(100\) −13921.1 + 12916.9i −0.139211 + 0.129169i
\(101\) −52323.8 35673.7i −0.510382 0.347973i 0.280587 0.959829i \(-0.409471\pi\)
−0.790969 + 0.611856i \(0.790423\pi\)
\(102\) 6032.72 7564.79i 0.0574134 0.0719941i
\(103\) −61909.0 9331.28i −0.574990 0.0866659i −0.144891 0.989448i \(-0.546283\pi\)
−0.430099 + 0.902782i \(0.641521\pi\)
\(104\) −11382.6 + 3511.08i −0.103195 + 0.0318315i
\(105\) 8445.77 112701.i 0.0747595 0.997596i
\(106\) 129489. 88284.2i 1.11936 0.763165i
\(107\) −13517.0 + 59221.9i −0.114136 + 0.500061i 0.885253 + 0.465109i \(0.153985\pi\)
−0.999389 + 0.0349517i \(0.988872\pi\)
\(108\) −36721.2 + 160886.i −0.302940 + 1.32727i
\(109\) 58109.4 39618.3i 0.468468 0.319396i −0.305975 0.952040i \(-0.598982\pi\)
0.774443 + 0.632643i \(0.218030\pi\)
\(110\) 4940.12 65921.3i 0.0389274 0.519450i
\(111\) −53224.3 + 16417.5i −0.410018 + 0.126474i
\(112\) 108907. + 16415.1i 0.820372 + 0.123651i
\(113\) −83026.3 + 104112.i −0.611673 + 0.767014i −0.987146 0.159819i \(-0.948909\pi\)
0.375473 + 0.926833i \(0.377480\pi\)
\(114\) −173202. 118087.i −1.24822 0.851023i
\(115\) −37719.8 + 34998.9i −0.265965 + 0.246780i
\(116\) 8725.53 22232.3i 0.0602070 0.153405i
\(117\) 17883.3 + 5516.27i 0.120777 + 0.0372547i
\(118\) 12179.3 + 5865.23i 0.0805223 + 0.0387775i
\(119\) −7089.54 18063.8i −0.0458934 0.116935i
\(120\) 3973.77 + 53026.3i 0.0251913 + 0.336154i
\(121\) −90107.5 112991.i −0.559497 0.701587i
\(122\) −33462.4 57958.6i −0.203544 0.352548i
\(123\) 11958.6 20712.9i 0.0712718 0.123446i
\(124\) −428854. + 64639.4i −2.50470 + 0.377523i
\(125\) −143986. + 69339.8i −0.824221 + 0.396924i
\(126\) 151689. + 140747.i 0.851192 + 0.789790i
\(127\) −49659.2 217571.i −0.273206 1.19700i −0.906204 0.422841i \(-0.861033\pi\)
0.632997 0.774154i \(-0.281824\pi\)
\(128\) −165609. −0.893429
\(129\) −16085.7 + 125909.i −0.0851072 + 0.666164i
\(130\) 72132.0 0.374343
\(131\) −45725.4 200336.i −0.232798 1.01996i −0.947307 0.320328i \(-0.896207\pi\)
0.714508 0.699627i \(-0.246650\pi\)
\(132\) −41320.1 38339.5i −0.206408 0.191519i
\(133\) −378785. + 182413.i −1.85680 + 0.894186i
\(134\) 566541. 85392.3i 2.72565 0.410825i
\(135\) 117861. 204142.i 0.556592 0.964045i
\(136\) 4565.13 + 7907.04i 0.0211644 + 0.0366578i
\(137\) −71188.8 89267.9i −0.324049 0.406344i 0.592947 0.805242i \(-0.297964\pi\)
−0.916996 + 0.398897i \(0.869393\pi\)
\(138\) 5784.18 + 77184.5i 0.0258550 + 0.345010i
\(139\) 93733.6 + 238829.i 0.411489 + 1.04846i 0.974972 + 0.222329i \(0.0713659\pi\)
−0.563483 + 0.826128i \(0.690539\pi\)
\(140\) 407330. + 196160.i 1.75641 + 0.845844i
\(141\) 228290. + 70418.2i 0.967029 + 0.298289i
\(142\) −125248. + 319126.i −0.521253 + 1.32813i
\(143\) −13221.7 + 12268.0i −0.0540690 + 0.0501687i
\(144\) 67268.0 + 45862.5i 0.270335 + 0.184311i
\(145\) −21270.5 + 26672.4i −0.0840152 + 0.105352i
\(146\) −360762. 54376.1i −1.40068 0.211118i
\(147\) −157669. + 48634.5i −0.601801 + 0.185631i
\(148\) 16650.8 222189.i 0.0624856 0.833813i
\(149\) −238389. + 162531.i −0.879670 + 0.599749i −0.916705 0.399565i \(-0.869161\pi\)
0.0370350 + 0.999314i \(0.488209\pi\)
\(150\) 9079.80 39781.2i 0.0329494 0.144361i
\(151\) 97712.3 428105.i 0.348744 1.52795i −0.431292 0.902213i \(-0.641942\pi\)
0.780036 0.625735i \(-0.215201\pi\)
\(152\) 163438. 111430.i 0.573778 0.391195i
\(153\) 1071.97 14304.5i 0.00370216 0.0494019i
\(154\) −190569. + 58782.7i −0.647516 + 0.199732i
\(155\) 612583. + 92332.1i 2.04803 + 0.308691i
\(156\) 38348.0 48086.9i 0.126163 0.158203i
\(157\) −146226. 99695.4i −0.473453 0.322795i 0.302978 0.952998i \(-0.402019\pi\)
−0.776430 + 0.630203i \(0.782972\pi\)
\(158\) 233546. 216699.i 0.744267 0.690579i
\(159\) −69737.6 + 177688.i −0.218763 + 0.557399i
\(160\) 455172. + 140402.i 1.40565 + 0.433584i
\(161\) 139859. + 67352.7i 0.425233 + 0.204781i
\(162\) −27746.6 70697.3i −0.0830659 0.211648i
\(163\) 75.0406 + 1001.35i 0.000221222 + 0.00295200i 0.997313 0.0732540i \(-0.0233384\pi\)
−0.997092 + 0.0762060i \(0.975719\pi\)
\(164\) 59653.1 + 74802.6i 0.173190 + 0.217174i
\(165\) 40258.0 + 69728.9i 0.115118 + 0.199390i
\(166\) 403491. 698867.i 1.13648 1.96845i
\(167\) 607266. 91530.6i 1.68495 0.253966i 0.764445 0.644689i \(-0.223013\pi\)
0.920508 + 0.390723i \(0.127775\pi\)
\(168\) 144532. 69603.0i 0.395085 0.190263i
\(169\) 257750. + 239157.i 0.694196 + 0.644120i
\(170\) −12302.8 53902.0i −0.0326498 0.143048i
\(171\) −310780. −0.812760
\(172\) −445347. 243912.i −1.14783 0.628655i
\(173\) −622010. −1.58009 −0.790045 0.613048i \(-0.789943\pi\)
−0.790045 + 0.613048i \(0.789943\pi\)
\(174\) 11419.1 + 50030.2i 0.0285929 + 0.125274i
\(175\) −59989.5 55662.1i −0.148074 0.137393i
\(176\) −70693.9 + 34044.4i −0.172029 + 0.0828446i
\(177\) −16280.7 + 2453.93i −0.0390608 + 0.00588746i
\(178\) −570204. + 987623.i −1.34890 + 2.33637i
\(179\) 280662. + 486121.i 0.654714 + 1.13400i 0.981965 + 0.189061i \(0.0605443\pi\)
−0.327251 + 0.944937i \(0.606122\pi\)
\(180\) 208370. + 261288.i 0.479351 + 0.601087i
\(181\) 40642.4 + 542335.i 0.0922110 + 1.23047i 0.830899 + 0.556423i \(0.187827\pi\)
−0.738688 + 0.674047i \(0.764554\pi\)
\(182\) −79501.1 202566.i −0.177908 0.453301i
\(183\) 73440.8 + 35367.2i 0.162110 + 0.0780681i
\(184\) −69792.5 21528.1i −0.151972 0.0468772i
\(185\) −116277. + 296268.i −0.249783 + 0.636438i
\(186\) 683108. 633831.i 1.44779 1.34336i
\(187\) 11422.6 + 7787.77i 0.0238869 + 0.0162858i
\(188\) −595862. + 747187.i −1.22956 + 1.54182i
\(189\) −703186. 105988.i −1.43191 0.215826i
\(190\) −1.14462e6 + 353068.i −2.30026 + 0.709535i
\(191\) 57644.1 769208.i 0.114333 1.52567i −0.585095 0.810965i \(-0.698943\pi\)
0.699428 0.714703i \(-0.253438\pi\)
\(192\) 423085. 288454.i 0.828274 0.564708i
\(193\) −40928.5 + 179319.i −0.0790919 + 0.346524i −0.998954 0.0457166i \(-0.985443\pi\)
0.919863 + 0.392241i \(0.128300\pi\)
\(194\) 238924. 1.04679e6i 0.455780 1.99690i
\(195\) −72589.6 + 49490.7i −0.136706 + 0.0932046i
\(196\) 49325.5 658202.i 0.0917130 1.22382i
\(197\) 97016.1 29925.5i 0.178106 0.0549384i −0.204420 0.978883i \(-0.565531\pi\)
0.382525 + 0.923945i \(0.375054\pi\)
\(198\) −145774. 21971.9i −0.264251 0.0398294i
\(199\) −76603.8 + 96058.1i −0.137125 + 0.171950i −0.845653 0.533734i \(-0.820788\pi\)
0.708527 + 0.705683i \(0.249360\pi\)
\(200\) 31813.4 + 21690.0i 0.0562387 + 0.0383429i
\(201\) −511546. + 474645.i −0.893089 + 0.828665i
\(202\) −198862. + 506692.i −0.342904 + 0.873706i
\(203\) 98346.6 + 30335.9i 0.167502 + 0.0516674i
\(204\) −42474.4 20454.6i −0.0714582 0.0344124i
\(205\) −49929.5 127218.i −0.0829798 0.211429i
\(206\) 40214.9 + 536630.i 0.0660266 + 0.881063i
\(207\) 71545.1 + 89714.7i 0.116052 + 0.145525i
\(208\) −42808.4 74146.3i −0.0686073 0.118831i
\(209\) 149759. 259390.i 0.237152 0.410759i
\(210\) −960562. + 144781.i −1.50306 + 0.226550i
\(211\) 819478. 394640.i 1.26716 0.610231i 0.325100 0.945680i \(-0.394602\pi\)
0.942059 + 0.335448i \(0.108888\pi\)
\(212\) −559752. 519374.i −0.855374 0.793672i
\(213\) −92914.3 407084.i −0.140325 0.614802i
\(214\) 522119. 0.779354
\(215\) 505185. + 520436.i 0.745339 + 0.767840i
\(216\) 334589. 0.487952
\(217\) −415873. 1.82206e6i −0.599531 2.62672i
\(218\) −443134. 411168.i −0.631530 0.585974i
\(219\) 400358. 192802.i 0.564077 0.271645i
\(220\) −318491. + 48004.8i −0.443650 + 0.0668695i
\(221\) −7542.48 + 13064.0i −0.0103880 + 0.0179926i
\(222\) 239373. + 414607.i 0.325982 + 0.564617i
\(223\) 754409. + 945999.i 1.01589 + 1.27388i 0.961339 + 0.275368i \(0.0887998\pi\)
0.0545463 + 0.998511i \(0.482629\pi\)
\(224\) −107388. 1.43299e6i −0.142999 1.90819i
\(225\) −22100.8 56311.9i −0.0291039 0.0741556i
\(226\) 1.03123e6 + 496614.i 1.34303 + 0.646768i
\(227\) −930325. 286967.i −1.19831 0.369630i −0.369539 0.929215i \(-0.620484\pi\)
−0.828773 + 0.559585i \(0.810961\pi\)
\(228\) −373147. + 950763.i −0.475382 + 1.21125i
\(229\) 631134. 585607.i 0.795303 0.737934i −0.173749 0.984790i \(-0.555588\pi\)
0.969052 + 0.246856i \(0.0793976\pi\)
\(230\) 365426. + 249144.i 0.455492 + 0.310549i
\(231\) 151446. 189908.i 0.186736 0.234160i
\(232\) −47883.0 7217.20i −0.0584065 0.00880336i
\(233\) −237720. + 73327.0i −0.286864 + 0.0884860i −0.434848 0.900504i \(-0.643198\pi\)
0.147984 + 0.988990i \(0.452722\pi\)
\(234\) 12021.0 160409.i 0.0143516 0.191508i
\(235\) 1.12792e6 769001.i 1.33232 0.908359i
\(236\) 14656.0 64212.2i 0.0171291 0.0750477i
\(237\) −86347.2 + 378312.i −0.0998568 + 0.437501i
\(238\) −137811. + 93958.1i −0.157704 + 0.107521i
\(239\) 1331.75 17770.9i 0.00150809 0.0201240i −0.996399 0.0847883i \(-0.972979\pi\)
0.997907 + 0.0646643i \(0.0205976\pi\)
\(240\) −365217. + 112655.i −0.409282 + 0.126247i
\(241\) 1.28423e6 + 193567.i 1.42430 + 0.214678i 0.815550 0.578687i \(-0.196435\pi\)
0.608746 + 0.793365i \(0.291673\pi\)
\(242\) −774498. + 971190.i −0.850124 + 1.06602i
\(243\) −714732. 487296.i −0.776475 0.529391i
\(244\) −239032. + 221789.i −0.257028 + 0.238487i
\(245\) −344453. + 877651.i −0.366618 + 0.934128i
\(246\) −196442. 60594.3i −0.206965 0.0638401i
\(247\) 294454. + 141802.i 0.307097 + 0.147890i
\(248\) 321257. + 818549.i 0.331683 + 0.845114i
\(249\) 73451.4 + 980140.i 0.0750761 + 1.00182i
\(250\) 856442. + 1.07394e6i 0.866659 + 1.08676i
\(251\) 103247. + 178829.i 0.103441 + 0.179165i 0.913100 0.407735i \(-0.133681\pi\)
−0.809659 + 0.586900i \(0.800348\pi\)
\(252\) 504107. 873139.i 0.500059 0.866127i
\(253\) −109356. + 16482.7i −0.107409 + 0.0161893i
\(254\) −1.72822e6 + 832266.i −1.68079 + 0.809427i
\(255\) 49363.7 + 45802.8i 0.0475398 + 0.0441105i
\(256\) −31541.7 138193.i −0.0300805 0.131791i
\(257\) −452906. −0.427736 −0.213868 0.976863i \(-0.568606\pi\)
−0.213868 + 0.976863i \(0.568606\pi\)
\(258\) 1.08585e6 106022.i 1.01560 0.0991622i
\(259\) 960155. 0.889389
\(260\) −78204.6 342637.i −0.0717462 0.314341i
\(261\) 55769.8 + 51746.8i 0.0506755 + 0.0470200i
\(262\) −1.59132e6 + 766337.i −1.43220 + 0.689710i
\(263\) −1.45879e6 + 219878.i −1.30048 + 0.196016i −0.762526 0.646957i \(-0.776041\pi\)
−0.537955 + 0.842973i \(0.680803\pi\)
\(264\) −57143.0 + 98974.5i −0.0504607 + 0.0874004i
\(265\) 545364. + 944599.i 0.477059 + 0.826290i
\(266\) 2.25306e6 + 2.82525e6i 1.95240 + 2.44823i
\(267\) −103800. 1.38511e6i −0.0891084 1.18907i
\(268\) −1.01986e6 2.59857e6i −0.867370 2.21002i
\(269\) 702763. + 338433.i 0.592145 + 0.285162i 0.705860 0.708351i \(-0.250561\pi\)
−0.113715 + 0.993513i \(0.536275\pi\)
\(270\) −1.93609e6 597203.i −1.61627 0.498555i
\(271\) 353643. 901068.i 0.292511 0.745306i −0.706772 0.707441i \(-0.749849\pi\)
0.999283 0.0378643i \(-0.0120555\pi\)
\(272\) −48105.8 + 44635.7i −0.0394253 + 0.0365814i
\(273\) 218988. + 149304.i 0.177834 + 0.121245i
\(274\) −611887. + 767282.i −0.492374 + 0.617417i
\(275\) 57650.2 + 8689.37i 0.0459694 + 0.00692878i
\(276\) 360366. 111158.i 0.284755 0.0878351i
\(277\) −87501.0 + 1.16762e6i −0.0685194 + 0.914328i 0.851978 + 0.523578i \(0.175403\pi\)
−0.920497 + 0.390750i \(0.872216\pi\)
\(278\) 1.82206e6 1.24226e6i 1.41400 0.964050i
\(279\) 307418. 1.34689e6i 0.236439 1.03591i
\(280\) 203973. 893666.i 0.155481 0.681209i
\(281\) −811579. + 553325.i −0.613148 + 0.418037i −0.829681 0.558238i \(-0.811477\pi\)
0.216533 + 0.976275i \(0.430525\pi\)
\(282\) 153454. 2.04770e6i 0.114909 1.53336i
\(283\) 309125. 95352.4i 0.229439 0.0707726i −0.177904 0.984048i \(-0.556932\pi\)
0.407343 + 0.913275i \(0.366455\pi\)
\(284\) 1.65168e6 + 248951.i 1.21515 + 0.183155i
\(285\) 909633. 1.14064e6i 0.663368 0.831837i
\(286\) 128091. + 87331.0i 0.0925984 + 0.0631325i
\(287\) −302232. + 280430.i −0.216589 + 0.200965i
\(288\) 388084. 988823.i 0.275705 0.702485i
\(289\) −1.34573e6 415102.i −0.947791 0.292355i
\(290\) 264191. + 127228.i 0.184469 + 0.0888355i
\(291\) 477779. + 1.21736e6i 0.330746 + 0.842727i
\(292\) 132840. + 1.77262e6i 0.0911738 + 1.21663i
\(293\) −1.02041e6 1.27955e6i −0.694393 0.870741i 0.302198 0.953245i \(-0.402280\pi\)
−0.996591 + 0.0825043i \(0.973708\pi\)
\(294\) 709108. + 1.22821e6i 0.478458 + 0.828714i
\(295\) −47040.3 + 81476.2i −0.0314713 + 0.0545100i
\(296\) −446711. + 67330.9i −0.296345 + 0.0446668i
\(297\) 456453. 219816.i 0.300265 0.144600i
\(298\) 1.81792e6 + 1.68678e6i 1.18586 + 1.10032i
\(299\) −26852.0 117646.i −0.0173700 0.0761028i
\(300\) −198810. −0.127537
\(301\) 904724. 1.99229e6i 0.575573 1.26747i
\(302\) −3.77431e6 −2.38134
\(303\) −147525. 646348.i −0.0923120 0.404445i
\(304\) 1.04223e6 + 967044.i 0.646812 + 0.600153i
\(305\) 419649. 202092.i 0.258307 0.124394i
\(306\) −121919. + 18376.3i −0.0744332 + 0.0112190i
\(307\) −1.36998e6 + 2.37288e6i −0.829601 + 1.43691i 0.0687504 + 0.997634i \(0.478099\pi\)
−0.898352 + 0.439277i \(0.855235\pi\)
\(308\) 485839. + 841497.i 0.291820 + 0.505447i
\(309\) −408659. 512442.i −0.243481 0.305316i
\(310\) −397922. 5.30990e6i −0.235177 3.13821i
\(311\) −744949. 1.89810e6i −0.436743 1.11280i −0.964658 0.263505i \(-0.915121\pi\)
0.527915 0.849297i \(-0.322974\pi\)
\(312\) −112354. 54106.9i −0.0653435 0.0314678i
\(313\) 176572. + 54465.3i 0.101873 + 0.0314238i 0.345273 0.938502i \(-0.387786\pi\)
−0.243399 + 0.969926i \(0.578263\pi\)
\(314\) −555748. + 1.41602e6i −0.318093 + 0.810488i
\(315\) −1.05571e6 + 979551.i −0.599468 + 0.556225i
\(316\) −1.28255e6 874431.i −0.722534 0.492615i
\(317\) −1.92509e6 + 2.41399e6i −1.07598 + 1.34923i −0.142825 + 0.989748i \(0.545619\pi\)
−0.933151 + 0.359484i \(0.882953\pi\)
\(318\) 1.62237e6 + 244533.i 0.899668 + 0.135603i
\(319\) −70064.4 + 21612.0i −0.0385497 + 0.0118910i
\(320\) 218658. 2.91779e6i 0.119369 1.59286i
\(321\) −525431. + 358233.i −0.284612 + 0.194045i
\(322\) 296901. 1.30081e6i 0.159578 0.699156i
\(323\) 55742.1 244222.i 0.0297288 0.130250i
\(324\) −305739. + 208449.i −0.161804 + 0.110316i
\(325\) −4754.02 + 63438.0i −0.00249662 + 0.0333151i
\(326\) 8247.54 2544.03i 0.00429814 0.00132580i
\(327\) 728053. + 109736.i 0.376525 + 0.0567520i
\(328\) 120948. 151664.i 0.0620746 0.0778391i
\(329\) −3.40270e6 2.31992e6i −1.73314 1.18164i
\(330\) 507314. 470718.i 0.256444 0.237945i
\(331\) −1.43039e6 + 3.64458e6i −0.717604 + 1.82843i −0.183472 + 0.983025i \(0.558734\pi\)
−0.534132 + 0.845401i \(0.679362\pi\)
\(332\) −3.75717e6 1.15893e6i −1.87075 0.577050i
\(333\) 639470. + 307952.i 0.316016 + 0.152185i
\(334\) −1.92848e6 4.91369e6i −0.945908 2.41013i
\(335\) 297985. + 3.97633e6i 0.145071 + 1.93584i
\(336\) 718892. + 901462.i 0.347388 + 0.435611i
\(337\) 878411. + 1.52145e6i 0.421331 + 0.729766i 0.996070 0.0885706i \(-0.0282299\pi\)
−0.574739 + 0.818337i \(0.694897\pi\)
\(338\) 1.51110e6 2.61730e6i 0.719452 1.24613i
\(339\) −1.37851e6 + 207776.i −0.651492 + 0.0981967i
\(340\) −242703. + 116880.i −0.113862 + 0.0548330i
\(341\) 976030. + 905623.i 0.454545 + 0.421756i
\(342\) 594406. + 2.60426e6i 0.274801 + 1.20398i
\(343\) −188776. −0.0866385
\(344\) −281213. + 990357.i −0.128126 + 0.451228i
\(345\) −538685. −0.243662
\(346\) 1.18967e6 + 5.21230e6i 0.534241 + 2.34066i
\(347\) 1.52083e6 + 1.41112e6i 0.678043 + 0.629132i 0.942083 0.335380i \(-0.108865\pi\)
−0.264040 + 0.964512i \(0.585055\pi\)
\(348\) 225270. 108484.i 0.0997138 0.0480196i
\(349\) −738024. + 111239.i −0.324345 + 0.0488871i −0.309197 0.950998i \(-0.600060\pi\)
−0.0151482 + 0.999885i \(0.504822\pi\)
\(350\) −351698. + 609159.i −0.153462 + 0.265804i
\(351\) 276403. + 478744.i 0.119750 + 0.207413i
\(352\) 638302. + 800406.i 0.274581 + 0.344313i
\(353\) 278088. + 3.71082e6i 0.118780 + 1.58501i 0.664657 + 0.747149i \(0.268578\pi\)
−0.545877 + 0.837866i \(0.683803\pi\)
\(354\) 51702.3 + 131735.i 0.0219281 + 0.0558720i
\(355\) −2.14966e6 1.03522e6i −0.905313 0.435976i
\(356\) 5.30955e6 + 1.63778e6i 2.22041 + 0.684905i
\(357\) 74219.5 189108.i 0.0308211 0.0785308i
\(358\) 3.53678e6 3.28166e6i 1.45848 1.35327i
\(359\) 1.32818e6 + 905537.i 0.543902 + 0.370826i 0.803883 0.594788i \(-0.202764\pi\)
−0.259981 + 0.965614i \(0.583716\pi\)
\(360\) 422475. 529767.i 0.171809 0.215441i
\(361\) −2.91815e6 439840.i −1.17853 0.177634i
\(362\) 4.46691e6 1.37786e6i 1.79158 0.552628i
\(363\) 113065. 1.50874e6i 0.0450361 0.600965i
\(364\) −876020. + 597260.i −0.346546 + 0.236271i
\(365\) 565012. 2.47548e6i 0.221986 0.972585i
\(366\) 155904. 683062.i 0.0608353 0.266537i
\(367\) 2.74710e6 1.87294e6i 1.06465 0.725869i 0.101505 0.994835i \(-0.467634\pi\)
0.963150 + 0.268966i \(0.0866819\pi\)
\(368\) 39230.2 523491.i 0.0151008 0.201507i
\(369\) −291231. + 89833.0i −0.111345 + 0.0343455i
\(370\) 2.70505e6 + 407721.i 1.02724 + 0.154831i
\(371\) 2.05160e6 2.57263e6i 0.773852 0.970380i
\(372\) −3.75140e6 2.55766e6i −1.40552 0.958265i
\(373\) 3.14789e6 2.92082e6i 1.17151 1.08701i 0.176808 0.984245i \(-0.443423\pi\)
0.994706 0.102761i \(-0.0327677\pi\)
\(374\) 43412.6 110614.i 0.0160486 0.0408911i
\(375\) −1.59872e6 493141.i −0.587077 0.181089i
\(376\) 1.74579e6 + 840728.i 0.636828 + 0.306680i
\(377\) −29229.3 74475.1i −0.0105917 0.0269872i
\(378\) 456776. + 6.09525e6i 0.164427 + 2.19413i
\(379\) −2.07028e6 2.59605e6i −0.740339 0.928356i 0.258956 0.965889i \(-0.416622\pi\)
−0.999295 + 0.0375329i \(0.988050\pi\)
\(380\) 2.91810e6 + 5.05429e6i 1.03667 + 1.79557i
\(381\) 1.16815e6 2.02330e6i 0.412275 0.714081i
\(382\) −6.55604e6 + 988163.i −2.29870 + 0.346474i
\(383\) 352431. 169722.i 0.122766 0.0591208i −0.371493 0.928436i \(-0.621154\pi\)
0.494258 + 0.869315i \(0.335440\pi\)
\(384\) −1.27093e6 1.17925e6i −0.439837 0.408109i
\(385\) −308850. 1.35316e6i −0.106193 0.465262i
\(386\) 1.58094e6 0.540065
\(387\) 1.24155e6 1.03671e6i 0.421391 0.351867i
\(388\) −5.23145e6 −1.76418
\(389\) 169174. + 741199.i 0.0566838 + 0.248348i 0.995330 0.0965347i \(-0.0307759\pi\)
−0.938646 + 0.344883i \(0.887919\pi\)
\(390\) 553558. + 513627.i 0.184290 + 0.170996i
\(391\) −83333.6 + 40131.4i −0.0275663 + 0.0132752i
\(392\) −1.32332e6 + 199458.i −0.434959 + 0.0655595i
\(393\) 1.07562e6 1.86302e6i 0.351298 0.608466i
\(394\) −436324. 755736.i −0.141602 0.245262i
\(395\) 1.38247e6 + 1.73356e6i 0.445823 + 0.559044i
\(396\) 53676.8 + 716267.i 0.0172008 + 0.229529i
\(397\) −1.21185e6 3.08773e6i −0.385897 0.983250i −0.983411 0.181391i \(-0.941940\pi\)
0.597514 0.801858i \(-0.296155\pi\)
\(398\) 951460. + 458199.i 0.301081 + 0.144993i
\(399\) −4.20579e6 1.29731e6i −1.32256 0.407956i
\(400\) −101107. + 257617.i −0.0315960 + 0.0805054i
\(401\) −979544. + 908884.i −0.304203 + 0.282259i −0.817471 0.575969i \(-0.804625\pi\)
0.513269 + 0.858228i \(0.328434\pi\)
\(402\) 4.95582e6 + 3.37882e6i 1.52950 + 1.04280i
\(403\) −905824. + 1.13587e6i −0.277831 + 0.348390i
\(404\) 2.62246e6 + 395272.i 0.799383 + 0.120488i
\(405\) 505085. 155798.i 0.153013 0.0471981i
\(406\) 66107.5 882143.i 0.0199038 0.265597i
\(407\) −565178. + 385332.i −0.169122 + 0.115305i
\(408\) −21269.3 + 93187.1i −0.00632563 + 0.0277144i
\(409\) −60219.1 + 263837.i −0.0178002 + 0.0779879i −0.983048 0.183349i \(-0.941306\pi\)
0.965248 + 0.261337i \(0.0841633\pi\)
\(410\) −970564. + 661719.i −0.285144 + 0.194408i
\(411\) 89326.0 1.19197e6i 0.0260840 0.348066i
\(412\) 2.50547e6 772834.i 0.727186 0.224307i
\(413\) 280653. + 42301.6i 0.0809644 + 0.0122034i
\(414\) 614949. 771122.i 0.176335 0.221117i
\(415\) 4.64043e6 + 3.16379e6i 1.32263 + 0.901753i
\(416\) −818876. + 759806.i −0.231998 + 0.215263i
\(417\) −981286. + 2.50027e6i −0.276347 + 0.704122i
\(418\) −2.46006e6 758827.i −0.688660 0.212423i
\(419\) 3.91667e6 + 1.88617e6i 1.08989 + 0.524863i 0.890465 0.455051i \(-0.150379\pi\)
0.199423 + 0.979914i \(0.436093\pi\)
\(420\) 1.72916e6 + 4.40583e6i 0.478313 + 1.21872i
\(421\) 350955. + 4.68317e6i 0.0965041 + 1.28776i 0.809721 + 0.586815i \(0.199618\pi\)
−0.713217 + 0.700943i \(0.752763\pi\)
\(422\) −4.87434e6 6.11224e6i −1.33240 1.67078i
\(423\) −1.52215e6 2.63644e6i −0.413625 0.716419i
\(424\) −774100. + 1.34078e6i −0.209114 + 0.362196i
\(425\) 48216.1 7267.40i 0.0129485 0.00195167i
\(426\) −3.23356e6 + 1.55720e6i −0.863291 + 0.415739i
\(427\) −1.03005e6 955745.i −0.273393 0.253672i
\(428\) −566075. 2.48014e6i −0.149370 0.654434i
\(429\) −188823. −0.0495348
\(430\) 3.39490e6 5.22873e6i 0.885434 1.36372i
\(431\) −2.37936e6 −0.616974 −0.308487 0.951229i \(-0.599823\pi\)
−0.308487 + 0.951229i \(0.599823\pi\)
\(432\) 535134. + 2.34457e6i 0.137960 + 0.604442i
\(433\) −495680. 459923.i −0.127052 0.117887i 0.614088 0.789238i \(-0.289524\pi\)
−0.741140 + 0.671351i \(0.765714\pi\)
\(434\) −1.44730e7 + 6.96984e6i −3.68837 + 1.77623i
\(435\) −353159. + 53230.2i −0.0894845 + 0.0134876i
\(436\) −1.47266e6 + 2.55073e6i −0.371012 + 0.642611i
\(437\) 1.00195e6 + 1.73542e6i 0.250981 + 0.434712i
\(438\) −2.38137e6 2.98615e6i −0.593120 0.743749i
\(439\) −170827. 2.27953e6i −0.0423054 0.564526i −0.977575 0.210589i \(-0.932462\pi\)
0.935269 0.353937i \(-0.115157\pi\)
\(440\) 238583. + 607900.i 0.0587500 + 0.149693i
\(441\) 1.89433e6 + 912263.i 0.463831 + 0.223369i
\(442\) 123899. + 38217.8i 0.0301656 + 0.00930485i
\(443\) 1.65422e6 4.21489e6i 0.400483 1.02041i −0.578356 0.815784i \(-0.696306\pi\)
0.978839 0.204630i \(-0.0655992\pi\)
\(444\) 1.70991e6 1.58657e6i 0.411639 0.381945i
\(445\) −6.55775e6 4.47100e6i −1.56984 1.07030i
\(446\) 6.48435e6 8.13112e6i 1.54358 1.93559i
\(447\) −2.98677e6 450183.i −0.707022 0.106566i
\(448\) −8.43491e6 + 2.60183e6i −1.98557 + 0.612468i
\(449\) 2329.67 31087.3i 0.000545354 0.00727725i −0.996924 0.0783682i \(-0.975029\pi\)
0.997470 + 0.0710910i \(0.0226481\pi\)
\(450\) −429610. + 292903.i −0.100010 + 0.0681857i
\(451\) 65360.4 286363.i 0.0151312 0.0662941i
\(452\) 1.24094e6 5.43691e6i 0.285696 1.25172i
\(453\) 3.79825e6 2.58961e6i 0.869638 0.592909i
\(454\) −625354. + 8.34477e6i −0.142392 + 1.90009i
\(455\) 1.44720e6 446401.i 0.327717 0.101087i
\(456\) 2.04771e6 + 308643.i 0.461166 + 0.0695096i
\(457\) −1.76677e6 + 2.21546e6i −0.395721 + 0.496219i −0.939280 0.343152i \(-0.888505\pi\)
0.543558 + 0.839371i \(0.317077\pi\)
\(458\) −6.11437e6 4.16871e6i −1.36203 0.928620i
\(459\) 310607. 288201.i 0.0688145 0.0638505i
\(460\) 787275. 2.00594e6i 0.173473 0.442002i
\(461\) 3.12901e6 + 965173.i 0.685733 + 0.211521i 0.617994 0.786182i \(-0.287945\pi\)
0.0677386 + 0.997703i \(0.478422\pi\)
\(462\) −1.88104e6 905862.i −0.410009 0.197450i
\(463\) 1.14342e6 + 2.91339e6i 0.247887 + 0.631605i 0.999612 0.0278717i \(-0.00887299\pi\)
−0.751725 + 0.659477i \(0.770778\pi\)
\(464\) −26009.6 347075.i −0.00560841 0.0748390i
\(465\) 4.04364e6 + 5.07057e6i 0.867242 + 1.08749i
\(466\) 1.06913e6 + 1.85180e6i 0.228070 + 0.395028i
\(467\) −4.30382e6 + 7.45444e6i −0.913192 + 1.58169i −0.103664 + 0.994612i \(0.533057\pi\)
−0.809527 + 0.587082i \(0.800277\pi\)
\(468\) −774996. + 116812.i −0.163563 + 0.0246531i
\(469\) 1.08381e7 5.21938e6i 2.27522 1.09569i
\(470\) −8.60134e6 7.98088e6i −1.79606 1.66650i
\(471\) −412279. 1.80631e6i −0.0856326 0.375181i
\(472\) −133540. −0.0275903
\(473\) 267003. + 1.53581e6i 0.0548736 + 0.315636i
\(474\) 3.33532e6 0.681854
\(475\) −235074. 1.02993e6i −0.0478047 0.209446i
\(476\) 595727. + 552754.i 0.120512 + 0.111819i
\(477\) 2.19150e6 1.05537e6i 0.441008 0.212378i
\(478\) −151463. + 22829.4i −0.0303206 + 0.00457010i
\(479\) 3.13690e6 5.43326e6i 0.624685 1.08199i −0.363916 0.931432i \(-0.618561\pi\)
0.988602 0.150555i \(-0.0481061\pi\)
\(480\) 2.49334e6 + 4.31860e6i 0.493946 + 0.855539i
\(481\) −465367. 583551.i −0.0917133 0.115005i
\(482\) −834211. 1.11318e7i −0.163553 2.18246i
\(483\) 593718. + 1.51277e6i 0.115801 + 0.295056i
\(484\) 5.45299e6 + 2.62602e6i 1.05809 + 0.509547i
\(485\) 7.14070e6 + 2.20261e6i 1.37844 + 0.425191i
\(486\) −2.71641e6 + 6.92130e6i −0.521681 + 1.32922i
\(487\) −65514.8 + 60788.9i −0.0125175 + 0.0116145i −0.686407 0.727218i \(-0.740813\pi\)
0.673889 + 0.738832i \(0.264623\pi\)
\(488\) 546251. + 372428.i 0.103835 + 0.0707933i
\(489\) −6554.36 + 8218.91i −0.00123953 + 0.00155433i
\(490\) 8.01332e6 + 1.20781e6i 1.50773 + 0.227253i
\(491\) −283857. + 87558.2i −0.0531368 + 0.0163905i −0.321210 0.947008i \(-0.604089\pi\)
0.268073 + 0.963399i \(0.413613\pi\)
\(492\) −74851.3 + 998821.i −0.0139408 + 0.186026i
\(493\) −50667.6 + 34544.6i −0.00938886 + 0.00640121i
\(494\) 625085. 2.73867e6i 0.115245 0.504921i
\(495\) 228306. 1.00027e6i 0.0418798 0.183487i
\(496\) −5.22203e6 + 3.56032e6i −0.953092 + 0.649807i
\(497\) −537901. + 7.17779e6i −0.0976813 + 1.30347i
\(498\) 8.07287e6 2.49015e6i 1.45866 0.449937i
\(499\) −5.67735e6 855723.i −1.02069 0.153844i −0.382687 0.923878i \(-0.625001\pi\)
−0.638003 + 0.770033i \(0.720239\pi\)
\(500\) 4.17284e6 5.23257e6i 0.746460 0.936031i
\(501\) 5.31206e6 + 3.62170e6i 0.945515 + 0.644641i
\(502\) 1.30107e6 1.20722e6i 0.230431 0.213809i
\(503\) −564599. + 1.43857e6i −0.0994993 + 0.253520i −0.971952 0.235178i \(-0.924433\pi\)
0.872453 + 0.488698i \(0.162528\pi\)
\(504\) −1.95336e6 602532.i −0.342536 0.105658i
\(505\) −3.41312e6 1.64367e6i −0.595557 0.286805i
\(506\) 347279. + 884851.i 0.0602978 + 0.153636i
\(507\) 275080. + 3.67069e6i 0.0475269 + 0.634203i
\(508\) 5.82709e6 + 7.30694e6i 1.00183 + 1.25625i
\(509\) 625947. + 1.08417e6i 0.107089 + 0.185483i 0.914590 0.404383i \(-0.132514\pi\)
−0.807501 + 0.589866i \(0.799181\pi\)
\(510\) 289403. 501260.i 0.0492694 0.0853371i
\(511\) −7.57453e6 + 1.14168e6i −1.28323 + 0.193415i
\(512\) −5.87239e6 + 2.82799e6i −0.990011 + 0.476764i
\(513\) −6.72939e6 6.24396e6i −1.12897 1.04753i
\(514\) 866241. + 3.79525e6i 0.144621 + 0.633625i
\(515\) −3.74524e6 −0.622246
\(516\) −1.68088e6 5.04300e6i −0.277916 0.833805i
\(517\) 2.93398e6 0.482759
\(518\) −1.83642e6 8.04587e6i −0.300710 1.31749i
\(519\) −4.77345e6 4.42911e6i −0.777882 0.721769i
\(520\) −642003. + 309172.i −0.104119 + 0.0501409i
\(521\) 3.43473e6 517702.i 0.554368 0.0835575i 0.134117 0.990966i \(-0.457180\pi\)
0.420251 + 0.907408i \(0.361942\pi\)
\(522\) 326959. 566310.i 0.0525192 0.0909658i
\(523\) 3.22258e6 + 5.58168e6i 0.515169 + 0.892299i 0.999845 + 0.0176053i \(0.00560423\pi\)
−0.484676 + 0.874694i \(0.661062\pi\)
\(524\) 5.36549e6 + 6.72811e6i 0.853652 + 1.07045i
\(525\) −64023.1 854328.i −0.0101377 0.135278i
\(526\) 4.63265e6 + 1.18038e7i 0.730071 + 1.86019i
\(527\) 1.00330e6 + 483161.i 0.157363 + 0.0757819i
\(528\) −784940. 242122.i −0.122533 0.0377963i
\(529\) −2.08114e6 + 5.30267e6i −0.323343 + 0.823864i
\(530\) 6.87244e6 6.37669e6i 1.06273 0.986066i
\(531\) 173349. + 118187.i 0.0266800 + 0.0181901i
\(532\) 1.09776e7 1.37654e7i 1.68162 2.10868i
\(533\) 316922. + 47768.3i 0.0483208 + 0.00728319i
\(534\) −1.14084e7 + 3.51902e6i −1.73130 + 0.534034i
\(535\) −271552. + 3.62362e6i −0.0410175 + 0.547341i
\(536\) −4.67643e6 + 3.18834e6i −0.703076 + 0.479349i
\(537\) −1.30763e6 + 5.72911e6i −0.195681 + 0.857336i
\(538\) 1.49186e6 6.53629e6i 0.222215 0.973588i
\(539\) −1.67426e6 + 1.14149e6i −0.248227 + 0.169239i
\(540\) −737717. + 9.84415e6i −0.108869 + 1.45276i
\(541\) −3.95127e6 + 1.21881e6i −0.580422 + 0.179036i −0.571044 0.820920i \(-0.693461\pi\)
−0.00937807 + 0.999956i \(0.502985\pi\)
\(542\) −8.22713e6 1.24004e6i −1.20296 0.181317i
\(543\) −3.54988e6 + 4.45140e6i −0.516670 + 0.647884i
\(544\) 707446. + 482329.i 0.102493 + 0.0698788i
\(545\) 3.08407e6 2.86160e6i 0.444767 0.412684i
\(546\) 832288. 2.12063e6i 0.119479 0.304428i
\(547\) 4.68634e6 + 1.44554e6i 0.669677 + 0.206568i 0.610905 0.791704i \(-0.290806\pi\)
0.0587712 + 0.998271i \(0.481282\pi\)
\(548\) 4.30809e6 + 2.07467e6i 0.612821 + 0.295119i
\(549\) −379481. 966902.i −0.0537353 0.136915i
\(550\) −37448.5 499715.i −0.00527871 0.0704394i
\(551\) 828358. + 1.03873e6i 0.116236 + 0.145755i
\(552\) −382310. 662180.i −0.0534033 0.0924972i
\(553\) 3.34459e6 5.79299e6i 0.465082 0.805546i
\(554\) 9.95174e6 1.49998e6i 1.37761 0.207641i
\(555\) −3.00196e6 + 1.44567e6i −0.413687 + 0.199221i
\(556\) −7.87634e6 7.30818e6i −1.08053 1.00259i
\(557\) 22176.8 + 97163.1i 0.00302874 + 0.0132698i 0.976420 0.215881i \(-0.0692623\pi\)
−0.973391 + 0.229151i \(0.926405\pi\)
\(558\) −1.18746e7 −1.61448
\(559\) −1.64935e6 + 415761.i −0.223246 + 0.0562748i
\(560\) 6.58844e6 0.887794
\(561\) 32205.4 + 141101.i 0.00432038 + 0.0189288i
\(562\) 6.18899e6 + 5.74254e6i 0.826568 + 0.766943i
\(563\) −2.74146e6 + 1.32022e6i −0.364511 + 0.175539i −0.607169 0.794573i \(-0.707695\pi\)
0.242658 + 0.970112i \(0.421981\pi\)
\(564\) −9.89324e6 + 1.49117e6i −1.30961 + 0.197391i
\(565\) −3.98295e6 + 6.89867e6i −0.524909 + 0.909168i
\(566\) −1.39027e6 2.40802e6i −0.182414 0.315951i
\(567\) −994207. 1.24670e6i −0.129873 0.162856i
\(568\) −253085. 3.37718e6i −0.0329151 0.439221i
\(569\) 431547. + 1.09957e6i 0.0558789 + 0.142377i 0.956087 0.293083i \(-0.0946811\pi\)
−0.900208 + 0.435460i \(0.856586\pi\)
\(570\) −1.12981e7 5.44089e6i −1.45653 0.701428i
\(571\) 8.48846e6 + 2.61834e6i 1.08953 + 0.336075i 0.786929 0.617043i \(-0.211670\pi\)
0.302599 + 0.953118i \(0.402146\pi\)
\(572\) 275959. 703133.i 0.0352659 0.0898561i
\(573\) 5.91963e6 5.49261e6i 0.753196 0.698864i
\(574\) 2.92800e6 + 1.99628e6i 0.370929 + 0.252895i
\(575\) −243199. + 304961.i −0.0306755 + 0.0384658i
\(576\) −6.45220e6 972512.i −0.810310 0.122135i
\(577\) 6.03676e6 1.86209e6i 0.754856 0.232842i 0.106639 0.994298i \(-0.465991\pi\)
0.648217 + 0.761455i \(0.275515\pi\)
\(578\) −904583. + 1.20708e7i −0.112624 + 1.50286i
\(579\) −1.59096e6 + 1.08470e6i −0.197226 + 0.134466i
\(580\) 317916. 1.39288e6i 0.0392412 0.171927i
\(581\) 3.77025e6 1.65186e7i 0.463372 2.03017i
\(582\) 9.28740e6 6.33204e6i 1.13654 0.774883i
\(583\) −175185. + 2.33768e6i −0.0213465 + 0.284849i
\(584\) 3.44399e6 1.06233e6i 0.417859 0.128892i
\(585\) 1.10702e6 + 166856.i 0.133741 + 0.0201582i
\(586\) −8.77069e6 + 1.09981e7i −1.05509 + 1.32304i
\(587\) −6.86789e6 4.68245e6i −0.822674 0.560890i 0.0772120 0.997015i \(-0.475398\pi\)
−0.899886 + 0.436125i \(0.856351\pi\)
\(588\) 5.06536e6 4.69997e6i 0.604181 0.560598i
\(589\) 8.81417e6 2.24581e7i 1.04687 2.66738i
\(590\) 772723. + 238353.i 0.0913889 + 0.0281898i
\(591\) 957612. + 461162.i 0.112777 + 0.0543106i
\(592\) −1.18627e6 3.02256e6i −0.139117 0.354463i
\(593\) −727615. 9.70934e6i −0.0849698 1.13384i −0.862860 0.505443i \(-0.831329\pi\)
0.777890 0.628400i \(-0.216290\pi\)
\(594\) −2.71503e6 3.40455e6i −0.315725 0.395907i
\(595\) −580414. 1.00531e6i −0.0672118 0.116414i
\(596\) 6.04147e6 1.04641e7i 0.696670 1.20667i
\(597\) −1.27187e6 + 191704.i −0.146052 + 0.0220138i
\(598\) −934492. + 450028.i −0.106862 + 0.0514620i
\(599\) −4.19337e6 3.89088e6i −0.477525 0.443079i 0.404320 0.914618i \(-0.367508\pi\)
−0.881845 + 0.471539i \(0.843699\pi\)
\(600\) 89696.5 + 392986.i 0.0101718 + 0.0445655i
\(601\) −4.06982e6 −0.459610 −0.229805 0.973237i \(-0.573809\pi\)
−0.229805 + 0.973237i \(0.573809\pi\)
\(602\) −1.84254e7 3.77086e6i −2.07217 0.424082i
\(603\) 8.89230e6 0.995912
\(604\) 4.09206e6 + 1.79285e7i 0.456404 + 1.99964i
\(605\) −6.33745e6 5.88030e6i −0.703925 0.653147i
\(606\) −5.13409e6 + 2.47245e6i −0.567913 + 0.273492i
\(607\) −5.79615e6 + 873629.i −0.638510 + 0.0962399i −0.460316 0.887755i \(-0.652264\pi\)
−0.178195 + 0.983995i \(0.557026\pi\)
\(608\) 9.27517e6 1.60651e7i 1.01757 1.76248i
\(609\) 538723. + 933096.i 0.0588603 + 0.101949i
\(610\) −2.49612e6 3.13003e6i −0.271607 0.340584i
\(611\) 239243. + 3.19247e6i 0.0259260 + 0.345959i
\(612\) 219472. + 559207.i 0.0236865 + 0.0603523i
\(613\) −9.91479e6 4.77471e6i −1.06569 0.513211i −0.182977 0.983117i \(-0.558574\pi\)
−0.882717 + 0.469906i \(0.844288\pi\)
\(614\) 2.25045e7 + 6.94171e6i 2.40906 + 0.743097i
\(615\) 522706. 1.33183e6i 0.0557275 0.141991i
\(616\) 1.44418e6 1.34001e6i 0.153345 0.142284i
\(617\) 1.20005e7 + 8.18183e6i 1.26908 + 0.865242i 0.995327 0.0965590i \(-0.0307836\pi\)
0.273750 + 0.961801i \(0.411736\pi\)
\(618\) −3.51254e6 + 4.40458e6i −0.369956 + 0.463910i
\(619\) −5.59850e6 843838.i −0.587280 0.0885182i −0.151321 0.988485i \(-0.548353\pi\)
−0.435959 + 0.899966i \(0.643591\pi\)
\(620\) −2.47913e7 + 7.64712e6i −2.59013 + 0.798948i
\(621\) −253300. + 3.38005e6i −0.0263576 + 0.351718i
\(622\) −1.44808e7 + 9.87286e6i −1.50078 + 1.02322i
\(623\) −5.32803e6 + 2.33436e7i −0.549980 + 2.40962i
\(624\) 199448. 873839.i 0.0205054 0.0898400i
\(625\) −9.06969e6 + 6.18361e6i −0.928736 + 0.633201i
\(626\) 118690. 1.58380e6i 0.0121054 0.161535i
\(627\) 2.99630e6 924237.i 0.304381 0.0938890i
\(628\) 7.32884e6 + 1.10464e6i 0.741543 + 0.111770i
\(629\) −356697. + 447284.i −0.0359478 + 0.0450772i
\(630\) 1.02276e7 + 6.97305e6i 1.02665 + 0.699957i
\(631\) 4.19547e6 3.89283e6i 0.419476 0.389217i −0.442000 0.897015i \(-0.645731\pi\)
0.861476 + 0.507798i \(0.169540\pi\)
\(632\) −1.14983e6 + 2.92973e6i −0.114510 + 0.291766i
\(633\) 9.09895e6 + 2.80665e6i 0.902572 + 0.278407i
\(634\) 2.39106e7 + 1.15148e7i 2.36248 + 1.13771i
\(635\) −4.87726e6 1.24271e7i −0.480001 1.22302i
\(636\) −597389. 7.97160e6i −0.0585618 0.781452i
\(637\) −1.37858e6 1.72868e6i −0.134612 0.168798i
\(638\) 315111. + 545788.i 0.0306487 + 0.0530851i
\(639\) −2.66039e6 + 4.60793e6i −0.257747 + 0.446431i
\(640\) −9.79616e6 + 1.47653e6i −0.945379 + 0.142493i
\(641\) 5.96615e6 2.87315e6i 0.573521 0.276193i −0.124560 0.992212i \(-0.539752\pi\)
0.698081 + 0.716019i \(0.254038\pi\)
\(642\) 4.00686e6 + 3.71782e6i 0.383678 + 0.356001i
\(643\) −451964. 1.98018e6i −0.0431099 0.188877i 0.948788 0.315913i \(-0.102311\pi\)
−0.991898 + 0.127036i \(0.959454\pi\)
\(644\) −6.50092e6 −0.617675
\(645\) 171066. + 7.59118e6i 0.0161906 + 0.718473i
\(646\) −2.15314e6 −0.202998
\(647\) 1.27586e6 + 5.58993e6i 0.119824 + 0.524983i 0.998838 + 0.0481879i \(0.0153446\pi\)
−0.879014 + 0.476795i \(0.841798\pi\)
\(648\) 549979. + 510306.i 0.0514527 + 0.0477412i
\(649\) −182178. + 87732.1i −0.0169779 + 0.00817611i
\(650\) 540688. 81495.7i 0.0501954 0.00756573i
\(651\) 9.78273e6 1.69442e7i 0.904706 1.56700i
\(652\) −21026.4 36418.7i −0.00193707 0.00335510i
\(653\) −3.66711e6 4.59841e6i −0.336544 0.422012i 0.584548 0.811359i \(-0.301272\pi\)
−0.921091 + 0.389347i \(0.872701\pi\)
\(654\) −472929. 6.31080e6i −0.0432366 0.576953i
\(655\) −4.49090e6 1.14426e7i −0.409007 1.04213i
\(656\) 1.25620e6 + 604954.i 0.113972 + 0.0548862i
\(657\) −5.41086e6 1.66903e6i −0.489050 0.150852i
\(658\) −1.29323e7 + 3.29510e7i −1.16443 + 2.96691i
\(659\) −1.36602e7 + 1.26749e7i −1.22531 + 1.13692i −0.239171 + 0.970977i \(0.576876\pi\)
−0.986136 + 0.165941i \(0.946934\pi\)
\(660\) −2.78600e6 1.89946e6i −0.248955 0.169735i
\(661\) 858611. 1.07666e6i 0.0764351 0.0958466i −0.742144 0.670241i \(-0.766191\pi\)
0.818579 + 0.574394i \(0.194762\pi\)
\(662\) 3.32765e7 + 5.01563e6i 2.95116 + 0.444816i
\(663\) −150907. + 46548.5i −0.0133329 + 0.00411265i
\(664\) −595743. + 7.94963e6i −0.0524371 + 0.699724i
\(665\) −2.07796e7 + 1.41673e7i −1.82215 + 1.24232i
\(666\) 1.35750e6 5.94761e6i 0.118592 0.519585i
\(667\) 109158. 478254.i 0.00950042 0.0416241i
\(668\) −2.12498e7 + 1.44879e7i −1.84253 + 1.25622i
\(669\) −946614. + 1.26317e7i −0.0817726 + 1.09118i
\(670\) 3.27508e7 1.01023e7i 2.81861 0.869426i
\(671\) 989882. + 149201.i 0.0848745 + 0.0127928i
\(672\) 9.37969e6 1.17618e7i 0.801245 1.00473i
\(673\) −5.72786e6 3.90519e6i −0.487478 0.332357i 0.294512 0.955648i \(-0.404843\pi\)
−0.781990 + 0.623291i \(0.785795\pi\)
\(674\) 1.10693e7 1.02709e7i 0.938582 0.870877i
\(675\) 652825. 1.66337e6i 0.0551489 0.140517i
\(676\) −1.40709e7 4.34029e6i −1.18428 0.365302i
\(677\) 1.32992e7 + 6.40457e6i 1.11520 + 0.537054i 0.898408 0.439163i \(-0.144725\pi\)
0.216797 + 0.976217i \(0.430439\pi\)
\(678\) 4.37769e6 + 1.11542e7i 0.365738 + 0.931886i
\(679\) −1.68469e6 2.24806e7i −0.140231 1.87126i
\(680\) 340534. + 427017.i 0.0282416 + 0.0354138i
\(681\) −5.09614e6 8.82676e6i −0.421088 0.729346i
\(682\) 5.72213e6 9.91102e6i 0.471082 0.815939i
\(683\) −5.27597e6 + 795225.i −0.432764 + 0.0652286i −0.361812 0.932251i \(-0.617842\pi\)
−0.0709518 + 0.997480i \(0.522604\pi\)
\(684\) 1.17261e7 5.64702e6i 0.958330 0.461507i
\(685\) −5.00686e6 4.64569e6i −0.407698 0.378289i
\(686\) 361058. + 1.58190e6i 0.0292932 + 0.128342i
\(687\) 9.01336e6 0.728610
\(688\) −7.38952e6 386594.i −0.595176 0.0311375i
\(689\) −2.55793e6 −0.205277
\(690\) 1.03030e6 + 4.51406e6i 0.0823840 + 0.360948i
\(691\) −8.13620e6 7.54929e6i −0.648226 0.601466i 0.285965 0.958240i \(-0.407686\pi\)
−0.934191 + 0.356775i \(0.883876\pi\)
\(692\) 2.34693e7 1.13022e7i 1.86309 0.897219i
\(693\) −3.06066e6 + 461320.i −0.242093 + 0.0364896i
\(694\) 8.91612e6 1.54432e7i 0.702712 1.21713i
\(695\) 7.67388e6 + 1.32916e7i 0.602633 + 1.04379i
\(696\) −316074. 396344.i −0.0247324 0.0310134i
\(697\) −18358.2 244973.i −0.00143136 0.0191001i
\(698\) 2.34372e6 + 5.97171e6i 0.182082 + 0.463938i
\(699\) −2.34646e6 1.12999e6i −0.181643 0.0874749i
\(700\) 3.27490e6 + 1.01017e6i 0.252611 + 0.0779202i
\(701\) 3.46877e6 8.83829e6i 0.266613 0.679318i −0.733387 0.679811i \(-0.762062\pi\)
1.00000 0.000493182i \(0.000156985\pi\)
\(702\) 3.48311e6 3.23185e6i 0.266762 0.247519i
\(703\) 1.02409e7 + 6.98215e6i 0.781540 + 0.532845i
\(704\) 3.92089e6 4.91664e6i 0.298162 0.373884i
\(705\) 1.41317e7 + 2.13001e6i 1.07083 + 0.161402i
\(706\) 3.05639e7 9.42773e6i 2.30780 0.711861i
\(707\) −854052. + 1.13965e7i −0.0642593 + 0.857480i
\(708\) 569706. 388419.i 0.0427137 0.0291217i
\(709\) −1.48283e6 + 6.49671e6i −0.110784 + 0.485375i 0.888847 + 0.458204i \(0.151507\pi\)
−0.999631 + 0.0271713i \(0.991350\pi\)
\(710\) −4.56342e6 + 1.99936e7i −0.339738 + 1.48849i
\(711\) 4.08552e6 2.78546e6i 0.303091 0.206644i
\(712\) 841890. 1.12342e7i 0.0622380 0.830508i
\(713\) −8.51226e6 + 2.62568e6i −0.627077 + 0.193428i
\(714\) −1.72664e6 260249.i −0.126752 0.0191048i
\(715\) −672715. + 843559.i −0.0492115 + 0.0617092i
\(716\) −1.94228e7 1.32423e7i −1.41589 0.965339i
\(717\) 136761. 126895.i 0.00993489 0.00921823i
\(718\) 5.04788e6 1.28618e7i 0.365425 0.931087i
\(719\) 7.03574e6 + 2.17024e6i 0.507560 + 0.156562i 0.537950 0.842977i \(-0.319199\pi\)
−0.0303901 + 0.999538i \(0.509675\pi\)
\(720\) 4.38794e6 + 2.11312e6i 0.315450 + 0.151912i
\(721\) 4.12786e6 + 1.05176e7i 0.295724 + 0.753494i
\(722\) 1.89557e6 + 2.52947e7i 0.135331 + 1.80587i
\(723\) 8.47716e6 + 1.06300e7i 0.603121 + 0.756290i
\(724\) −1.13880e7 1.97246e7i −0.807421 1.39849i
\(725\) −129305. + 223963.i −0.00913630 + 0.0158245i
\(726\) −1.28592e7 + 1.93821e6i −0.905465 + 0.136477i
\(727\) −1.09849e7 + 5.29004e6i −0.770832 + 0.371213i −0.777596 0.628764i \(-0.783561\pi\)
0.00676428 + 0.999977i \(0.497847\pi\)
\(728\) 1.57583e6 + 1.46215e6i 0.110200 + 0.102250i
\(729\) −2.49294e6 1.09223e7i −0.173737 0.761192i
\(730\) −2.18246e7 −1.51579
\(731\) 591997. + 1.16160e6i 0.0409757 + 0.0804012i
\(732\) −3.41367e6 −0.235474
\(733\) 2.63874e6 + 1.15611e7i 0.181400 + 0.794765i 0.980965 + 0.194185i \(0.0622063\pi\)
−0.799565 + 0.600580i \(0.794937\pi\)
\(734\) −2.09490e7 1.94378e7i −1.43523 1.33170i
\(735\) −8.89285e6 + 4.28257e6i −0.607187 + 0.292406i
\(736\) −6.77286e6 + 1.02084e6i −0.460869 + 0.0694648i
\(737\) −4.28503e6 + 7.42188e6i −0.290593 + 0.503321i
\(738\) 1.30980e6 + 2.26864e6i 0.0885244 + 0.153329i
\(739\) −2.80815e6 3.52131e6i −0.189151 0.237188i 0.678209 0.734869i \(-0.262756\pi\)
−0.867360 + 0.497681i \(0.834185\pi\)
\(740\) −996054. 1.32914e7i −0.0668657 0.892261i
\(741\) 1.24999e6 + 3.18493e6i 0.0836299 + 0.213085i
\(742\) −2.54820e7 1.22715e7i −1.69912 0.818251i
\(743\) 2.35185e7 + 7.25450e6i 1.56292 + 0.482098i 0.951096 0.308894i \(-0.0999588\pi\)
0.611827 + 0.790992i \(0.290435\pi\)
\(744\) −3.36320e6 + 8.56929e6i −0.222751 + 0.567561i
\(745\) −1.26521e7 + 1.17394e7i −0.835165 + 0.774920i
\(746\) −3.04965e7 2.07922e7i −2.00633 1.36789i
\(747\) 7.80904e6 9.79223e6i 0.512031 0.642067i
\(748\) −572497. 86290.0i −0.0374127 0.00563906i
\(749\) 1.04754e7 3.23122e6i 0.682282 0.210456i
\(750\) −1.07464e6 + 1.43401e7i −0.0697608 + 0.930893i
\(751\) −3.38746e6 + 2.30953e6i −0.219167 + 0.149425i −0.667927 0.744227i \(-0.732818\pi\)
0.448760 + 0.893652i \(0.351866\pi\)
\(752\) −3.09908e6 + 1.35780e7i −0.199843 + 0.875568i
\(753\) −481036. + 2.10755e6i −0.0309165 + 0.135454i
\(754\) −568179. + 387378.i −0.0363963 + 0.0248146i