Properties

Label 19.7.f.a.3.6
Level $19$
Weight $7$
Character 19.3
Analytic conductor $4.371$
Analytic rank $0$
Dimension $54$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 19 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 19.f (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.37102758878\)
Analytic rank: \(0\)
Dimension: \(54\)
Relative dimension: \(9\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 3.6
Character \(\chi\) \(=\) 19.3
Dual form 19.7.f.a.13.6

$q$-expansion

\(f(q)\) \(=\) \(q+(1.25256 - 1.49274i) q^{2} +(1.82612 + 5.01723i) q^{3} +(10.4541 + 59.2882i) q^{4} +(-2.44738 + 13.8798i) q^{5} +(9.77677 + 3.55845i) q^{6} +(212.620 + 368.269i) q^{7} +(209.601 + 121.013i) q^{8} +(536.609 - 450.268i) q^{9} +O(q^{10})\) \(q+(1.25256 - 1.49274i) q^{2} +(1.82612 + 5.01723i) q^{3} +(10.4541 + 59.2882i) q^{4} +(-2.44738 + 13.8798i) q^{5} +(9.77677 + 3.55845i) q^{6} +(212.620 + 368.269i) q^{7} +(209.601 + 121.013i) q^{8} +(536.609 - 450.268i) q^{9} +(17.6535 + 21.0386i) q^{10} +(-1226.16 + 2123.77i) q^{11} +(-278.372 + 160.718i) q^{12} +(1213.92 - 3335.22i) q^{13} +(816.053 + 143.892i) q^{14} +(-74.1073 + 13.0671i) q^{15} +(-3177.44 + 1156.49i) q^{16} +(-2361.26 - 1981.33i) q^{17} -1365.01i q^{18} +(-586.158 - 6833.91i) q^{19} -848.493 q^{20} +(-1459.42 + 1739.27i) q^{21} +(1634.41 + 4490.50i) q^{22} +(-1208.04 - 6851.15i) q^{23} +(-224.394 + 1272.60i) q^{24} +(14496.0 + 5276.13i) q^{25} +(-3458.13 - 5989.65i) q^{26} +(6609.83 + 3816.19i) q^{27} +(-19611.3 + 16455.8i) q^{28} +(19846.2 + 23651.8i) q^{29} +(-73.3181 + 126.991i) q^{30} +(21298.1 - 12296.4i) q^{31} +(-7551.38 + 20747.2i) q^{32} +(-12894.6 - 2273.66i) q^{33} +(-5915.24 + 1043.02i) q^{34} +(-5631.87 + 2049.83i) q^{35} +(32305.3 + 27107.4i) q^{36} -63695.2i q^{37} +(-10935.5 - 7684.91i) q^{38} +18950.3 q^{39} +(-2192.61 + 2613.05i) q^{40} +(-28941.4 - 79515.8i) q^{41} +(768.271 + 4357.08i) q^{42} +(-8455.27 + 47952.2i) q^{43} +(-138733. - 50494.7i) q^{44} +(4936.34 + 8549.99i) q^{45} +(-11740.2 - 6778.19i) q^{46} +(54068.5 - 45368.9i) q^{47} +(-11604.8 - 13830.0i) q^{48} +(-31590.4 + 54716.2i) q^{49} +(26033.1 - 15030.2i) q^{50} +(5628.84 - 15465.1i) q^{51} +(210430. + 37104.5i) q^{52} +(-70824.9 + 12488.3i) q^{53} +(13975.8 - 5086.78i) q^{54} +(-26476.6 - 22216.5i) q^{55} +102920. i q^{56} +(33216.9 - 15420.4i) q^{57} +60164.6 q^{58} +(-168457. + 200760. i) q^{59} +(-1549.45 - 4257.08i) q^{60} +(20040.8 + 113657. i) q^{61} +(8321.68 - 47194.6i) q^{62} +(279914. + 101880. i) q^{63} +(-86691.6 - 150154. i) q^{64} +(43321.3 + 25011.6i) q^{65} +(-19545.2 + 16400.4i) q^{66} +(85924.7 + 102401. i) q^{67} +(92784.7 - 160708. i) q^{68} +(32167.7 - 18572.1i) q^{69} +(-3994.38 + 10974.5i) q^{70} +(-479555. - 84558.5i) q^{71} +(166962. - 29439.9i) q^{72} +(129964. - 47303.0i) q^{73} +(-95080.6 - 79782.1i) q^{74} +82364.7i q^{75} +(399042. - 106195. i) q^{76} -1.04283e6 q^{77} +(23736.5 - 28288.0i) q^{78} +(88.4943 + 243.136i) q^{79} +(-8275.47 - 46932.5i) q^{80} +(81598.7 - 462769. i) q^{81} +(-154948. - 56396.4i) q^{82} +(8605.55 + 14905.3i) q^{83} +(-118375. - 68343.9i) q^{84} +(33279.4 - 27924.7i) q^{85} +(60989.7 + 72684.7i) q^{86} +(-82424.7 + 142764. i) q^{87} +(-514009. + 296763. i) q^{88} +(113808. - 312686. i) q^{89} +(18946.0 + 3340.70i) q^{90} +(1.48637e6 - 262086. i) q^{91} +(393563. - 143245. i) q^{92} +(100587. + 84402.3i) q^{93} -137538. i q^{94} +(96287.8 + 8589.43i) q^{95} -117883. q^{96} +(-653827. + 779201. i) q^{97} +(42108.4 + 115692. i) q^{98} +(298298. + 1.69173e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9} + O(q^{10}) \) \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9} - 1689 q^{10} + 1677 q^{11} - 9 q^{12} - 10506 q^{13} + 6105 q^{14} + 24138 q^{15} + 23760 q^{16} - 3438 q^{17} - 30918 q^{19} - 76650 q^{20} - 59055 q^{21} + 20490 q^{22} + 42498 q^{23} + 31848 q^{24} + 7914 q^{25} + 109989 q^{26} + 124821 q^{27} - 109476 q^{28} - 27726 q^{29} - 153516 q^{30} - 30789 q^{31} - 114375 q^{32} + 126039 q^{33} + 359796 q^{34} + 160161 q^{35} + 184995 q^{36} - 245244 q^{38} - 390564 q^{39} - 372678 q^{40} - 24708 q^{41} - 244893 q^{42} - 30726 q^{43} - 301419 q^{44} + 293037 q^{45} + 69246 q^{46} - 71454 q^{47} + 1024041 q^{48} - 350346 q^{49} - 104148 q^{50} - 180672 q^{51} + 921801 q^{52} + 822558 q^{53} + 308469 q^{54} + 623517 q^{55} - 17862 q^{57} - 1150644 q^{58} - 463812 q^{59} - 908130 q^{60} - 583698 q^{61} - 429732 q^{62} - 2576043 q^{63} - 328293 q^{64} - 1056789 q^{65} - 1038756 q^{66} + 1120464 q^{67} + 717270 q^{68} + 3771567 q^{69} + 4845345 q^{70} + 94494 q^{71} + 2351634 q^{72} + 950850 q^{73} + 55149 q^{74} - 218814 q^{76} - 343086 q^{77} + 1833471 q^{78} - 4936494 q^{79} - 9642039 q^{80} - 769551 q^{81} - 8627793 q^{82} - 412131 q^{83} - 3125205 q^{84} - 896910 q^{85} + 8878236 q^{86} + 610737 q^{87} + 13604751 q^{88} + 6653022 q^{89} + 3142734 q^{90} + 3409821 q^{91} - 3043740 q^{92} - 816393 q^{93} + 4839186 q^{95} - 5667138 q^{96} - 853656 q^{97} - 17679315 q^{98} - 13991937 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.25256 1.49274i 0.156570 0.186593i −0.682057 0.731299i \(-0.738914\pi\)
0.838627 + 0.544706i \(0.183359\pi\)
\(3\) 1.82612 + 5.01723i 0.0676341 + 0.185823i 0.968905 0.247433i \(-0.0795869\pi\)
−0.901271 + 0.433256i \(0.857365\pi\)
\(4\) 10.4541 + 59.2882i 0.163345 + 0.926378i
\(5\) −2.44738 + 13.8798i −0.0195791 + 0.111038i −0.993031 0.117853i \(-0.962399\pi\)
0.973452 + 0.228891i \(0.0735100\pi\)
\(6\) 9.77677 + 3.55845i 0.0452628 + 0.0164743i
\(7\) 212.620 + 368.269i 0.619885 + 1.07367i 0.989506 + 0.144489i \(0.0461540\pi\)
−0.369622 + 0.929182i \(0.620513\pi\)
\(8\) 209.601 + 121.013i 0.409377 + 0.236354i
\(9\) 536.609 450.268i 0.736089 0.617652i
\(10\) 17.6535 + 21.0386i 0.0176535 + 0.0210386i
\(11\) −1226.16 + 2123.77i −0.921232 + 1.59562i −0.123721 + 0.992317i \(0.539483\pi\)
−0.797511 + 0.603304i \(0.793851\pi\)
\(12\) −278.372 + 160.718i −0.161095 + 0.0930081i
\(13\) 1213.92 3335.22i 0.552536 1.51808i −0.277699 0.960668i \(-0.589572\pi\)
0.830235 0.557413i \(-0.188206\pi\)
\(14\) 816.053 + 143.892i 0.297395 + 0.0524388i
\(15\) −74.1073 + 13.0671i −0.0219577 + 0.00387174i
\(16\) −3177.44 + 1156.49i −0.775741 + 0.282347i
\(17\) −2361.26 1981.33i −0.480614 0.403283i 0.370034 0.929018i \(-0.379346\pi\)
−0.850649 + 0.525735i \(0.823790\pi\)
\(18\) 1365.01i 0.234055i
\(19\) −586.158 6833.91i −0.0854582 0.996342i
\(20\) −848.493 −0.106062
\(21\) −1459.42 + 1739.27i −0.157588 + 0.187806i
\(22\) 1634.41 + 4490.50i 0.153494 + 0.421722i
\(23\) −1208.04 6851.15i −0.0992885 0.563093i −0.993349 0.115146i \(-0.963266\pi\)
0.894060 0.447947i \(-0.147845\pi\)
\(24\) −224.394 + 1272.60i −0.0162322 + 0.0920574i
\(25\) 14496.0 + 5276.13i 0.927746 + 0.337672i
\(26\) −3458.13 5989.65i −0.196753 0.340786i
\(27\) 6609.83 + 3816.19i 0.335814 + 0.193882i
\(28\) −19611.3 + 16455.8i −0.893371 + 0.749627i
\(29\) 19846.2 + 23651.8i 0.813735 + 0.969772i 0.999919 0.0127428i \(-0.00405628\pi\)
−0.186183 + 0.982515i \(0.559612\pi\)
\(30\) −73.3181 + 126.991i −0.00271548 + 0.00470336i
\(31\) 21298.1 12296.4i 0.714916 0.412757i −0.0979628 0.995190i \(-0.531233\pi\)
0.812878 + 0.582433i \(0.197899\pi\)
\(32\) −7551.38 + 20747.2i −0.230450 + 0.633155i
\(33\) −12894.6 2273.66i −0.358810 0.0632679i
\(34\) −5915.24 + 1043.02i −0.150500 + 0.0265372i
\(35\) −5631.87 + 2049.83i −0.131355 + 0.0478095i
\(36\) 32305.3 + 27107.4i 0.692416 + 0.581006i
\(37\) 63695.2i 1.25748i −0.777615 0.628740i \(-0.783571\pi\)
0.777615 0.628740i \(-0.216429\pi\)
\(38\) −10935.5 7684.91i −0.199291 0.140052i
\(39\) 18950.3 0.319465
\(40\) −2192.61 + 2613.05i −0.0342596 + 0.0408290i
\(41\) −28941.4 79515.8i −0.419921 1.15372i −0.951751 0.306873i \(-0.900717\pi\)
0.531829 0.846852i \(-0.321505\pi\)
\(42\) 768.271 + 4357.08i 0.0103697 + 0.0588096i
\(43\) −8455.27 + 47952.2i −0.106346 + 0.603119i 0.884328 + 0.466866i \(0.154617\pi\)
−0.990674 + 0.136253i \(0.956494\pi\)
\(44\) −138733. 50494.7i −1.62863 0.592772i
\(45\) 4936.34 + 8549.99i 0.0541711 + 0.0938271i
\(46\) −11740.2 6778.19i −0.120615 0.0696370i
\(47\) 54068.5 45368.9i 0.520776 0.436983i −0.344126 0.938923i \(-0.611825\pi\)
0.864902 + 0.501940i \(0.167380\pi\)
\(48\) −11604.8 13830.0i −0.104933 0.125054i
\(49\) −31590.4 + 54716.2i −0.268514 + 0.465080i
\(50\) 26033.1 15030.2i 0.208265 0.120242i
\(51\) 5628.84 15465.1i 0.0424335 0.116585i
\(52\) 210430. + 37104.5i 1.49657 + 0.263886i
\(53\) −70824.9 + 12488.3i −0.475728 + 0.0838836i −0.406371 0.913708i \(-0.633206\pi\)
−0.0693570 + 0.997592i \(0.522095\pi\)
\(54\) 13975.8 5086.78i 0.0887556 0.0323044i
\(55\) −26476.6 22216.5i −0.159138 0.133533i
\(56\) 102920.i 0.586049i
\(57\) 33216.9 15420.4i 0.179363 0.0832668i
\(58\) 60164.6 0.308360
\(59\) −168457. + 200760.i −0.820227 + 0.977509i −0.999981 0.00620282i \(-0.998026\pi\)
0.179753 + 0.983712i \(0.442470\pi\)
\(60\) −1549.45 4257.08i −0.00717338 0.0197087i
\(61\) 20040.8 + 113657.i 0.0882927 + 0.500733i 0.996597 + 0.0824235i \(0.0262660\pi\)
−0.908305 + 0.418309i \(0.862623\pi\)
\(62\) 8321.68 47194.6i 0.0349169 0.198024i
\(63\) 279914. + 101880.i 1.11945 + 0.407445i
\(64\) −86691.6 150154.i −0.330702 0.572793i
\(65\) 43321.3 + 25011.6i 0.157747 + 0.0910753i
\(66\) −19545.2 + 16400.4i −0.0679843 + 0.0570456i
\(67\) 85924.7 + 102401.i 0.285689 + 0.340471i 0.889734 0.456479i \(-0.150890\pi\)
−0.604045 + 0.796950i \(0.706445\pi\)
\(68\) 92784.7 160708.i 0.295087 0.511105i
\(69\) 32167.7 18572.1i 0.0979204 0.0565344i
\(70\) −3994.38 + 10974.5i −0.0116454 + 0.0319956i
\(71\) −479555. 84558.5i −1.33987 0.236256i −0.542659 0.839953i \(-0.682583\pi\)
−0.797214 + 0.603697i \(0.793694\pi\)
\(72\) 166962. 29439.9i 0.447322 0.0788750i
\(73\) 129964. 47303.0i 0.334083 0.121596i −0.169531 0.985525i \(-0.554225\pi\)
0.503615 + 0.863928i \(0.332003\pi\)
\(74\) −95080.6 79782.1i −0.234637 0.196884i
\(75\) 82364.7i 0.195235i
\(76\) 399042. 106195.i 0.909030 0.241914i
\(77\) −1.04283e6 −2.28423
\(78\) 23736.5 28288.0i 0.0500187 0.0596100i
\(79\) 88.4943 + 243.136i 0.000179487 + 0.000493137i 0.939782 0.341774i \(-0.111028\pi\)
−0.939603 + 0.342267i \(0.888805\pi\)
\(80\) −8275.47 46932.5i −0.0161630 0.0916651i
\(81\) 81598.7 462769.i 0.153542 0.870782i
\(82\) −154948. 56396.4i −0.281024 0.102284i
\(83\) 8605.55 + 14905.3i 0.0150503 + 0.0260678i 0.873452 0.486909i \(-0.161876\pi\)
−0.858402 + 0.512977i \(0.828542\pi\)
\(84\) −118375. 68343.9i −0.199720 0.115309i
\(85\) 33279.4 27924.7i 0.0541899 0.0454707i
\(86\) 60989.7 + 72684.7i 0.0958873 + 0.114274i
\(87\) −82424.7 + 142764.i −0.125170 + 0.216801i
\(88\) −514009. + 296763.i −0.754263 + 0.435474i
\(89\) 113808. 312686.i 0.161438 0.443546i −0.832429 0.554132i \(-0.813050\pi\)
0.993867 + 0.110586i \(0.0352726\pi\)
\(90\) 18946.0 + 3340.70i 0.0259891 + 0.00458257i
\(91\) 1.48637e6 262086.i 1.97243 0.347793i
\(92\) 393563. 143245.i 0.505419 0.183957i
\(93\) 100587. + 84402.3i 0.125052 + 0.104931i
\(94\) 137538.i 0.165592i
\(95\) 96287.8 + 8589.43i 0.112305 + 0.0100183i
\(96\) −117883. −0.133241
\(97\) −653827. + 779201.i −0.716387 + 0.853757i −0.994274 0.106857i \(-0.965921\pi\)
0.277887 + 0.960614i \(0.410366\pi\)
\(98\) 42108.4 + 115692.i 0.0447394 + 0.122921i
\(99\) 298298. + 1.69173e6i 0.307429 + 1.74352i
\(100\) −161269. + 914601.i −0.161269 + 0.914601i
\(101\) −1.13150e6 411832.i −1.09822 0.399720i −0.271561 0.962421i \(-0.587540\pi\)
−0.826660 + 0.562702i \(0.809762\pi\)
\(102\) −16035.0 27773.4i −0.0151101 0.0261715i
\(103\) −29976.1 17306.7i −0.0274324 0.0158381i 0.486221 0.873836i \(-0.338375\pi\)
−0.513653 + 0.857998i \(0.671708\pi\)
\(104\) 658046. 552166.i 0.585000 0.490874i
\(105\) −20568.9 24513.1i −0.0177682 0.0211753i
\(106\) −70070.7 + 121366.i −0.0588327 + 0.101901i
\(107\) 1.60580e6 927109.i 1.31081 0.756797i 0.328581 0.944476i \(-0.393430\pi\)
0.982230 + 0.187679i \(0.0600964\pi\)
\(108\) −157155. + 431780.i −0.124755 + 0.342761i
\(109\) 1.07304e6 + 189206.i 0.828583 + 0.146102i 0.571827 0.820374i \(-0.306235\pi\)
0.256757 + 0.966476i \(0.417346\pi\)
\(110\) −66327.2 + 11695.3i −0.0498326 + 0.00878684i
\(111\) 319573. 116315.i 0.233669 0.0850486i
\(112\) −1.10149e6 924259.i −0.784018 0.657869i
\(113\) 1.42766e6i 0.989442i 0.869052 + 0.494721i \(0.164730\pi\)
−0.869052 + 0.494721i \(0.835270\pi\)
\(114\) 18587.4 68899.3i 0.0125460 0.0465051i
\(115\) 98049.1 0.0644689
\(116\) −1.19480e6 + 1.42390e6i −0.765456 + 0.912234i
\(117\) −850344. 2.33630e6i −0.530930 1.45872i
\(118\) 88679.8 + 502928.i 0.0539733 + 0.306098i
\(119\) 227612. 1.29085e6i 0.135068 0.766011i
\(120\) −17114.3 6229.08i −0.00990409 0.00360479i
\(121\) −2.12116e6 3.67395e6i −1.19734 2.07385i
\(122\) 194763. + 112446.i 0.107257 + 0.0619250i
\(123\) 346098. 290411.i 0.185988 0.156062i
\(124\) 951685. + 1.13417e6i 0.499147 + 0.594860i
\(125\) −218818. + 379003.i −0.112035 + 0.194050i
\(126\) 502691. 290229.i 0.251298 0.145087i
\(127\) −608400. + 1.67157e6i −0.297015 + 0.816042i 0.697980 + 0.716117i \(0.254082\pi\)
−0.994995 + 0.0999247i \(0.968140\pi\)
\(128\) −1.72430e6 304041.i −0.822211 0.144978i
\(129\) −256027. + 45144.5i −0.119266 + 0.0210298i
\(130\) 91598.5 33339.1i 0.0416925 0.0151748i
\(131\) 202357. + 169798.i 0.0900130 + 0.0755299i 0.686684 0.726956i \(-0.259066\pi\)
−0.596671 + 0.802486i \(0.703510\pi\)
\(132\) 788264.i 0.342728i
\(133\) 2.39209e6 1.66889e6i 1.01677 0.709371i
\(134\) 260485. 0.108260
\(135\) −69144.7 + 82403.4i −0.0281033 + 0.0334922i
\(136\) −255155. 701033.i −0.101435 0.278690i
\(137\) 213000. + 1.20798e6i 0.0828356 + 0.469784i 0.997803 + 0.0662556i \(0.0211053\pi\)
−0.914967 + 0.403528i \(0.867784\pi\)
\(138\) 12568.7 71280.9i 0.00478250 0.0271229i
\(139\) −3.18188e6 1.15811e6i −1.18478 0.431226i −0.326895 0.945061i \(-0.606002\pi\)
−0.857889 + 0.513835i \(0.828225\pi\)
\(140\) −180407. 312474.i −0.0657460 0.113875i
\(141\) 326362. + 188425.i 0.116424 + 0.0672173i
\(142\) −726897. + 609939.i −0.253868 + 0.213020i
\(143\) 5.59479e6 + 6.66761e6i 1.91327 + 2.28014i
\(144\) −1.18431e6 + 2.05128e6i −0.396622 + 0.686970i
\(145\) −376853. + 217576.i −0.123614 + 0.0713686i
\(146\) 92176.6 253253.i 0.0296184 0.0813760i
\(147\) −332211. 58577.8i −0.104583 0.0184409i
\(148\) 3.77637e6 665876.i 1.16490 0.205404i
\(149\) 455548. 165806.i 0.137713 0.0501235i −0.272244 0.962228i \(-0.587766\pi\)
0.409957 + 0.912105i \(0.365544\pi\)
\(150\) 122950. + 103167.i 0.0364295 + 0.0305680i
\(151\) 1.29773e6i 0.376922i −0.982081 0.188461i \(-0.939650\pi\)
0.982081 0.188461i \(-0.0603500\pi\)
\(152\) 704134. 1.50333e6i 0.200505 0.428078i
\(153\) −2.15920e6 −0.602863
\(154\) −1.30621e6 + 1.55667e6i −0.357643 + 0.426222i
\(155\) 118548. + 325707.i 0.0318345 + 0.0874644i
\(156\) 198109. + 1.12353e6i 0.0521831 + 0.295945i
\(157\) −346584. + 1.96557e6i −0.0895590 + 0.507914i 0.906720 + 0.421732i \(0.138578\pi\)
−0.996279 + 0.0861820i \(0.972533\pi\)
\(158\) 473.785 + 172.443i 0.000120118 + 4.37195e-5i
\(159\) −191992. 332539.i −0.0477629 0.0827278i
\(160\) −269486. 155588.i −0.0657925 0.0379853i
\(161\) 2.26622e6 1.90158e6i 0.543030 0.455656i
\(162\) −588589. 701453.i −0.138442 0.164988i
\(163\) −1.70222e6 + 2.94834e6i −0.393056 + 0.680792i −0.992851 0.119361i \(-0.961915\pi\)
0.599795 + 0.800154i \(0.295249\pi\)
\(164\) 4.41179e6 2.54715e6i 1.00019 0.577461i
\(165\) 63115.8 173409.i 0.0140503 0.0386030i
\(166\) 33028.7 + 5823.86i 0.00722051 + 0.00127317i
\(167\) 7.07548e6 1.24760e6i 1.51917 0.267871i 0.649064 0.760734i \(-0.275161\pi\)
0.870107 + 0.492863i \(0.164050\pi\)
\(168\) −516371. + 187944.i −0.108901 + 0.0396369i
\(169\) −5.95256e6 4.99479e6i −1.23323 1.03480i
\(170\) 84655.0i 0.0172308i
\(171\) −3.39163e6 3.40321e6i −0.678297 0.680612i
\(172\) −2.93139e6 −0.576088
\(173\) −5.88966e6 + 7.01902e6i −1.13750 + 1.35562i −0.211824 + 0.977308i \(0.567940\pi\)
−0.925678 + 0.378313i \(0.876504\pi\)
\(174\) 109868. + 301860.i 0.0208556 + 0.0573003i
\(175\) 1.13912e6 + 6.46026e6i 0.212547 + 1.20541i
\(176\) 1.43992e6 8.16619e6i 0.264119 1.49790i
\(177\) −1.31488e6 478577.i −0.237119 0.0863043i
\(178\) −324209. 561546.i −0.0574863 0.0995692i
\(179\) −5.19870e6 3.00147e6i −0.906433 0.523330i −0.0271516 0.999631i \(-0.508644\pi\)
−0.879282 + 0.476302i \(0.841977\pi\)
\(180\) −455309. + 382049.i −0.0780707 + 0.0655091i
\(181\) −1.02080e6 1.21654e6i −0.172150 0.205160i 0.673070 0.739578i \(-0.264975\pi\)
−0.845220 + 0.534419i \(0.820531\pi\)
\(182\) 1.47054e6 2.54704e6i 0.243928 0.422496i
\(183\) −533645. + 308100.i −0.0870761 + 0.0502734i
\(184\) 575873. 1.58220e6i 0.0924429 0.253985i
\(185\) 884076. + 155886.i 0.139629 + 0.0246203i
\(186\) 251982. 44431.3i 0.0391590 0.00690478i
\(187\) 7.10318e6 2.58534e6i 1.08624 0.395361i
\(188\) 3.25508e6 + 2.73133e6i 0.489878 + 0.411056i
\(189\) 3.24560e6i 0.480739i
\(190\) 133428. 132974.i 0.0194530 0.0193868i
\(191\) −1.96150e6 −0.281507 −0.140753 0.990045i \(-0.544952\pi\)
−0.140753 + 0.990045i \(0.544952\pi\)
\(192\) 595049. 709151.i 0.0840715 0.100193i
\(193\) −297685. 817882.i −0.0414080 0.113768i 0.917265 0.398277i \(-0.130392\pi\)
−0.958673 + 0.284509i \(0.908169\pi\)
\(194\) 344189. + 1.95199e6i 0.0471403 + 0.267346i
\(195\) −46378.7 + 263027.i −0.00625482 + 0.0354729i
\(196\) −3.57427e6 1.30093e6i −0.474700 0.172777i
\(197\) −3.23079e6 5.59589e6i −0.422581 0.731932i 0.573610 0.819128i \(-0.305542\pi\)
−0.996191 + 0.0871968i \(0.972209\pi\)
\(198\) 2.89897e6 + 1.67372e6i 0.373463 + 0.215619i
\(199\) 2.90088e6 2.43413e6i 0.368104 0.308876i −0.439907 0.898043i \(-0.644989\pi\)
0.808011 + 0.589167i \(0.200544\pi\)
\(200\) 2.39990e6 + 2.86010e6i 0.299988 + 0.357512i
\(201\) −356860. + 618100.i −0.0439450 + 0.0761151i
\(202\) −2.03203e6 + 1.17319e6i −0.246534 + 0.142336i
\(203\) −4.49052e6 + 1.23376e7i −0.536795 + 1.47483i
\(204\) 975743. + 172050.i 0.114933 + 0.0202658i
\(205\) 1.17449e6 207095.i 0.136329 0.0240385i
\(206\) −63381.5 + 23069.0i −0.00725038 + 0.00263892i
\(207\) −3.73310e6 3.13244e6i −0.420880 0.353161i
\(208\) 1.20014e7i 1.33364i
\(209\) 1.52324e7 + 7.13460e6i 1.66851 + 0.781503i
\(210\) −62355.7 −0.00673315
\(211\) 1.91209e6 2.27874e6i 0.203546 0.242576i −0.654609 0.755968i \(-0.727167\pi\)
0.858155 + 0.513391i \(0.171611\pi\)
\(212\) −1.48082e6 4.06853e6i −0.155416 0.427002i
\(213\) −451477. 2.56045e6i −0.0467193 0.264958i
\(214\) 627426. 3.55831e6i 0.0640208 0.363080i
\(215\) −644873. 234715.i −0.0648872 0.0236170i
\(216\) 923619. + 1.59975e6i 0.0916498 + 0.158742i
\(217\) 9.05680e6 + 5.22895e6i 0.886331 + 0.511723i
\(218\) 1.62648e6 1.36478e6i 0.156993 0.131733i
\(219\) 474660. + 565678.i 0.0451908 + 0.0538563i
\(220\) 1.04039e6 1.80201e6i 0.0977074 0.169234i
\(221\) −9.47457e6 + 5.47014e6i −0.877774 + 0.506783i
\(222\) 226656. 622733.i 0.0207161 0.0569171i
\(223\) −2.85818e6 503974.i −0.257736 0.0454458i 0.0432872 0.999063i \(-0.486217\pi\)
−0.301023 + 0.953617i \(0.597328\pi\)
\(224\) −9.24615e6 + 1.63035e6i −0.822653 + 0.145056i
\(225\) 1.01544e7 3.69589e6i 0.891467 0.324468i
\(226\) 2.13114e6 + 1.78824e6i 0.184623 + 0.154917i
\(227\) 8.06432e6i 0.689430i −0.938707 0.344715i \(-0.887976\pi\)
0.938707 0.344715i \(-0.112024\pi\)
\(228\) 1.26150e6 + 1.80816e6i 0.106435 + 0.152557i
\(229\) −5.84951e6 −0.487095 −0.243547 0.969889i \(-0.578311\pi\)
−0.243547 + 0.969889i \(0.578311\pi\)
\(230\) 122813. 146362.i 0.0100939 0.0120295i
\(231\) −1.90433e6 5.23210e6i −0.154492 0.424463i
\(232\) 1.29761e6 + 7.35909e6i 0.103915 + 0.589332i
\(233\) 253957. 1.44026e6i 0.0200767 0.113860i −0.973123 0.230288i \(-0.926033\pi\)
0.993199 + 0.116428i \(0.0371443\pi\)
\(234\) −4.55261e6 1.65701e6i −0.355314 0.129324i
\(235\) 497384. + 861495.i 0.0383256 + 0.0663818i
\(236\) −1.36638e7 7.88877e6i −1.03952 0.600169i
\(237\) −1058.27 + 887.991i −7.94969e−5 + 6.67058e-5i
\(238\) −1.64181e6 1.95664e6i −0.121785 0.145137i
\(239\) 2.36909e6 4.10338e6i 0.173535 0.300572i −0.766118 0.642700i \(-0.777814\pi\)
0.939653 + 0.342128i \(0.111148\pi\)
\(240\) 220359. 127224.i 0.0159403 0.00920315i
\(241\) 5.42047e6 1.48926e7i 0.387245 1.06395i −0.580991 0.813910i \(-0.697335\pi\)
0.968236 0.250037i \(-0.0804427\pi\)
\(242\) −8.14115e6 1.43550e6i −0.574433 0.101288i
\(243\) 7.95030e6 1.40185e6i 0.554070 0.0976975i
\(244\) −6.52900e6 + 2.37636e6i −0.449445 + 0.163585i
\(245\) −682136. 572380.i −0.0463845 0.0389212i
\(246\) 880394.i 0.0591387i
\(247\) −2.35042e7 6.34086e6i −1.55975 0.420782i
\(248\) 5.95213e6 0.390227
\(249\) −59068.3 + 70394.8i −0.00382610 + 0.00455977i
\(250\) 291673. + 801364.i 0.0186670 + 0.0512873i
\(251\) −1.61463e6 9.15700e6i −0.102106 0.579071i −0.992337 0.123562i \(-0.960568\pi\)
0.890231 0.455509i \(-0.150543\pi\)
\(252\) −3.11405e6 + 1.76607e7i −0.194592 + 1.10358i
\(253\) 1.60315e7 + 5.83500e6i 0.989951 + 0.360313i
\(254\) 1.73316e6 + 3.00193e6i 0.105764 + 0.183189i
\(255\) 200877. + 115976.i 0.0121146 + 0.00699437i
\(256\) 5.88679e6 4.93960e6i 0.350880 0.294423i
\(257\) −8.49019e6 1.01182e7i −0.500170 0.596080i 0.455603 0.890183i \(-0.349424\pi\)
−0.955774 + 0.294103i \(0.904979\pi\)
\(258\) −253301. + 438730.i −0.0147495 + 0.0255469i
\(259\) 2.34570e7 1.35429e7i 1.35012 0.779493i
\(260\) −1.03000e6 + 2.82991e6i −0.0586029 + 0.161010i
\(261\) 2.12993e7 + 3.75564e6i 1.19796 + 0.211233i
\(262\) 506930. 89385.5i 0.0281867 0.00497008i
\(263\) −2.33576e7 + 8.50148e6i −1.28399 + 0.467334i −0.891750 0.452529i \(-0.850522\pi\)
−0.392240 + 0.919863i \(0.628300\pi\)
\(264\) −2.42757e6 2.03697e6i −0.131935 0.110707i
\(265\) 1.01360e6i 0.0544664i
\(266\) 505009. 5.66117e6i 0.0268321 0.300789i
\(267\) 1.77664e6 0.0933398
\(268\) −5.17291e6 + 6.16483e6i −0.268739 + 0.320270i
\(269\) 8.55197e6 + 2.34963e7i 0.439349 + 1.20710i 0.939917 + 0.341404i \(0.110902\pi\)
−0.500568 + 0.865697i \(0.666875\pi\)
\(270\) 36399.3 + 206431.i 0.00184928 + 0.0104878i
\(271\) −1.57120e6 + 8.91074e6i −0.0789450 + 0.447719i 0.919555 + 0.392962i \(0.128550\pi\)
−0.998500 + 0.0547573i \(0.982561\pi\)
\(272\) 9.79414e6 + 3.56478e6i 0.486698 + 0.177144i
\(273\) 4.02923e6 + 6.97883e6i 0.198031 + 0.343000i
\(274\) 2.07000e6 + 1.19512e6i 0.100628 + 0.0580976i
\(275\) −2.89798e7 + 2.43169e7i −1.39347 + 1.16926i
\(276\) 1.43739e6 + 1.71301e6i 0.0683671 + 0.0814767i
\(277\) −7.56564e6 + 1.31041e7i −0.355964 + 0.616548i −0.987283 0.158976i \(-0.949181\pi\)
0.631318 + 0.775524i \(0.282514\pi\)
\(278\) −5.71426e6 + 3.29913e6i −0.265966 + 0.153555i
\(279\) 5.89202e6 1.61882e7i 0.271301 0.745394i
\(280\) −1.42850e6 251884.i −0.0650739 0.0114743i
\(281\) −9.83191e6 + 1.73363e6i −0.443118 + 0.0781336i −0.390755 0.920495i \(-0.627786\pi\)
−0.0523623 + 0.998628i \(0.516675\pi\)
\(282\) 690058. 251161.i 0.0307708 0.0111996i
\(283\) 2.60025e7 + 2.18187e7i 1.14724 + 0.962651i 0.999652 0.0263970i \(-0.00840341\pi\)
0.147592 + 0.989048i \(0.452848\pi\)
\(284\) 2.93159e7i 1.27982i
\(285\) 132738. + 498783.i 0.00573404 + 0.0215465i
\(286\) 1.69609e7 0.725020
\(287\) 2.31297e7 2.75649e7i 0.978419 1.16603i
\(288\) 5.28968e6 + 1.45333e7i 0.221438 + 0.608396i
\(289\) −2.54158e6 1.44140e7i −0.105295 0.597160i
\(290\) −147246. + 835073.i −0.00603739 + 0.0342397i
\(291\) −5.10339e6 1.85748e6i −0.207100 0.0753782i
\(292\) 4.16317e6 + 7.21082e6i 0.167215 + 0.289625i
\(293\) 2.13966e7 + 1.23534e7i 0.850634 + 0.491114i 0.860865 0.508834i \(-0.169923\pi\)
−0.0102305 + 0.999948i \(0.503257\pi\)
\(294\) −503557. + 422535.i −0.0198156 + 0.0166272i
\(295\) −2.37422e6 2.82949e6i −0.0924817 0.110215i
\(296\) 7.70796e6 1.33506e7i 0.297211 0.514784i
\(297\) −1.62094e7 + 9.35851e6i −0.618726 + 0.357221i
\(298\) 323096. 887699.i 0.0122091 0.0335442i
\(299\) −2.43166e7 4.28767e6i −0.909681 0.160401i
\(300\) −4.88326e6 + 861050.i −0.180861 + 0.0318907i
\(301\) −1.94571e7 + 7.08180e6i −0.713475 + 0.259683i
\(302\) −1.93717e6 1.62548e6i −0.0703311 0.0590148i
\(303\) 6.42903e6i 0.231110i
\(304\) 9.76584e6 + 2.10364e7i 0.347607 + 0.748774i
\(305\) −1.62658e6 −0.0573292
\(306\) −2.70453e6 + 3.22314e6i −0.0943904 + 0.112490i
\(307\) −1.31116e7 3.60238e7i −0.453148 1.24501i −0.930497 0.366300i \(-0.880624\pi\)
0.477349 0.878714i \(-0.341598\pi\)
\(308\) −1.09018e7 6.18273e7i −0.373119 2.11606i
\(309\) 32091.7 182001.i 0.00108772 0.00616878i
\(310\) 634685. + 231006.i 0.0213046 + 0.00775424i
\(311\) 57404.7 + 99427.9i 0.00190839 + 0.00330542i 0.866978 0.498346i \(-0.166059\pi\)
−0.865070 + 0.501652i \(0.832726\pi\)
\(312\) 3.97201e6 + 2.29324e6i 0.130782 + 0.0755068i
\(313\) −1.81233e6 + 1.52073e6i −0.0591023 + 0.0495927i −0.671860 0.740678i \(-0.734504\pi\)
0.612758 + 0.790271i \(0.290060\pi\)
\(314\) 2.49998e6 + 2.97936e6i 0.0807510 + 0.0962353i
\(315\) −2.09913e6 + 3.63581e6i −0.0671597 + 0.116324i
\(316\) −13490.0 + 7788.43i −0.000427513 + 0.000246825i
\(317\) −5.93037e6 + 1.62935e7i −0.186167 + 0.511491i −0.997305 0.0733643i \(-0.976626\pi\)
0.811138 + 0.584855i \(0.198849\pi\)
\(318\) −736878. 129931.i −0.0229147 0.00404048i
\(319\) −7.45656e7 + 1.31479e7i −2.29703 + 0.405028i
\(320\) 2.29628e6 835777.i 0.0700769 0.0255059i
\(321\) 7.58390e6 + 6.36365e6i 0.229286 + 0.192394i
\(322\) 5.76473e6i 0.172668i
\(323\) −1.21562e7 + 1.72980e7i −0.360736 + 0.513320i
\(324\) 2.82898e7 0.831754
\(325\) 3.51941e7 4.19427e7i 1.02523 1.22182i
\(326\) 2.26898e6 + 6.23396e6i 0.0654904 + 0.179933i
\(327\) 1.01021e6 + 5.72919e6i 0.0288914 + 0.163851i
\(328\) 3.55632e6 2.01689e7i 0.100781 0.571559i
\(329\) 2.82040e7 + 1.02654e7i 0.791997 + 0.288263i
\(330\) −179799. 311422.i −0.00500318 0.00866577i
\(331\) −1.07502e7 6.20666e6i −0.296438 0.171149i 0.344403 0.938822i \(-0.388081\pi\)
−0.640842 + 0.767673i \(0.721415\pi\)
\(332\) −793742. + 666029.i −0.0216903 + 0.0182003i
\(333\) −2.86799e7 3.41794e7i −0.776685 0.925617i
\(334\) 7.00013e6 1.21246e7i 0.187874 0.325407i
\(335\) −1.63160e6 + 942002.i −0.0433988 + 0.0250563i
\(336\) 2.62576e6 7.21422e6i 0.0692210 0.190183i
\(337\) 3.62171e7 + 6.38606e6i 0.946291 + 0.166857i 0.625439 0.780273i \(-0.284920\pi\)
0.320851 + 0.947130i \(0.396031\pi\)
\(338\) −1.49119e7 + 2.62937e6i −0.386174 + 0.0680929i
\(339\) −7.16291e6 + 2.60709e6i −0.183861 + 0.0669200i
\(340\) 2.00351e6 + 1.68115e6i 0.0509747 + 0.0427729i
\(341\) 6.03096e7i 1.52098i
\(342\) −9.32834e6 + 800111.i −0.233199 + 0.0200019i
\(343\) 2.31621e7 0.573978
\(344\) −7.57509e6 + 9.02764e6i −0.186085 + 0.221768i
\(345\) 179050. + 491935.i 0.00436030 + 0.0119798i
\(346\) 3.10045e6 + 1.75835e7i 0.0748508 + 0.424500i
\(347\) −1.01259e7 + 5.74267e7i −0.242350 + 1.37444i 0.584216 + 0.811598i \(0.301402\pi\)
−0.826566 + 0.562839i \(0.809709\pi\)
\(348\) −9.32589e6 3.39434e6i −0.221285 0.0805412i
\(349\) 2.76888e7 + 4.79584e7i 0.651371 + 1.12821i 0.982790 + 0.184724i \(0.0591390\pi\)
−0.331420 + 0.943483i \(0.607528\pi\)
\(350\) 1.10703e7 + 6.39146e6i 0.258200 + 0.149072i
\(351\) 2.07517e7 1.74127e7i 0.479879 0.402666i
\(352\) −3.48032e7 4.14768e7i −0.797978 0.950994i
\(353\) 2.81640e7 4.87814e7i 0.640279 1.10900i −0.345091 0.938569i \(-0.612152\pi\)
0.985370 0.170427i \(-0.0545148\pi\)
\(354\) −2.36136e6 + 1.36333e6i −0.0532296 + 0.0307321i
\(355\) 2.34731e6 6.44918e6i 0.0524669 0.144152i
\(356\) 1.97284e7 + 3.47864e6i 0.437261 + 0.0771010i
\(357\) 6.89214e6 1.21527e6i 0.151478 0.0267096i
\(358\) −1.09921e7 + 4.00081e6i −0.239570 + 0.0871964i
\(359\) 6.31105e6 + 5.29560e6i 0.136401 + 0.114454i 0.708436 0.705775i \(-0.249401\pi\)
−0.572034 + 0.820230i \(0.693846\pi\)
\(360\) 2.38945e6i 0.0512142i
\(361\) −4.63587e7 + 8.01150e6i −0.985394 + 0.170291i
\(362\) −3.09461e6 −0.0652349
\(363\) 1.45596e7 1.73514e7i 0.304388 0.362756i
\(364\) 3.10773e7 + 8.53840e7i 0.644375 + 1.77040i
\(365\) 338485. + 1.91964e6i 0.00696082 + 0.0394768i
\(366\) −208508. + 1.18251e6i −0.00425285 + 0.0241191i
\(367\) 4.93274e7 + 1.79537e7i 0.997908 + 0.363209i 0.788777 0.614679i \(-0.210714\pi\)
0.209130 + 0.977888i \(0.432937\pi\)
\(368\) 1.17618e7 + 2.03720e7i 0.236010 + 0.408781i
\(369\) −5.13336e7 2.96375e7i −1.02170 0.589878i
\(370\) 1.34006e6 1.12444e6i 0.0264556 0.0221989i
\(371\) −1.96579e7 2.34274e7i −0.384960 0.458777i
\(372\) −3.95252e6 + 6.84596e6i −0.0767794 + 0.132986i
\(373\) −5.87204e7 + 3.39022e7i −1.13152 + 0.653284i −0.944317 0.329037i \(-0.893276\pi\)
−0.187204 + 0.982321i \(0.559942\pi\)
\(374\) 5.03791e6 1.38415e7i 0.0963020 0.264588i
\(375\) −2.30113e6 405752.i −0.0436363 0.00769425i
\(376\) 1.68231e7 2.96636e6i 0.316477 0.0558034i
\(377\) 1.02976e8 3.74801e7i 1.92181 0.699482i
\(378\) 4.84485e6 + 4.06531e6i 0.0897026 + 0.0752694i
\(379\) 4.98184e7i 0.915108i −0.889182 0.457554i \(-0.848726\pi\)
0.889182 0.457554i \(-0.151274\pi\)
\(380\) 497351. + 5.79852e6i 0.00906384 + 0.105674i
\(381\) −9.49764e6 −0.171728
\(382\) −2.45690e6 + 2.92802e6i −0.0440756 + 0.0525272i
\(383\) −9.84552e6 2.70503e7i −0.175244 0.481478i 0.820710 0.571345i \(-0.193578\pi\)
−0.995954 + 0.0898668i \(0.971356\pi\)
\(384\) −1.62334e6 9.20642e6i −0.0286692 0.162591i
\(385\) 2.55220e6 1.44742e7i 0.0447231 0.253637i
\(386\) −1.59376e6 580080.i −0.0277115 0.0100862i
\(387\) 1.70542e7 + 2.95387e7i 0.294237 + 0.509634i
\(388\) −5.30326e7 3.06184e7i −0.907920 0.524188i
\(389\) −3.37517e7 + 2.83210e7i −0.573386 + 0.481128i −0.882767 0.469810i \(-0.844322\pi\)
0.309382 + 0.950938i \(0.399878\pi\)
\(390\) 334540. + 398689.i 0.00563967 + 0.00672110i
\(391\) −1.07219e7 + 1.85709e7i −0.179367 + 0.310672i
\(392\) −1.32428e7 + 7.64572e6i −0.219847 + 0.126929i
\(393\) −482386. + 1.32534e6i −0.00794725 + 0.0218349i
\(394\) −1.24000e7 2.18645e6i −0.202737 0.0357480i
\(395\) −3591.26 + 633.235i −5.82714e−5 + 1.02748e-5i
\(396\) −9.71814e7 + 3.53712e7i −1.56494 + 0.569592i
\(397\) −4.81697e7 4.04191e7i −0.769843 0.645975i 0.170826 0.985301i \(-0.445356\pi\)
−0.940669 + 0.339327i \(0.889801\pi\)
\(398\) 7.37917e6i 0.117047i
\(399\) 1.27415e7 + 8.95406e6i 0.200586 + 0.140962i
\(400\) −5.21620e7 −0.815032
\(401\) 6.85858e7 8.17374e7i 1.06366 1.26762i 0.101582 0.994827i \(-0.467609\pi\)
0.962074 0.272789i \(-0.0879461\pi\)
\(402\) 475676. + 1.30691e6i 0.00732206 + 0.0201172i
\(403\) −1.51572e7 8.59607e7i −0.231581 1.31336i
\(404\) 1.25879e7 7.13898e7i 0.190902 1.08266i
\(405\) 6.22344e6 + 2.26515e6i 0.0936840 + 0.0340982i
\(406\) 1.27922e7 + 2.21568e7i 0.191147 + 0.331077i
\(407\) 1.35274e8 + 7.81005e7i 2.00646 + 1.15843i
\(408\) 3.05130e6 2.56034e6i 0.0449266 0.0376979i
\(409\) −1.35370e7 1.61328e7i −0.197858 0.235798i 0.657989 0.753028i \(-0.271408\pi\)
−0.855846 + 0.517230i \(0.826963\pi\)
\(410\) 1.16199e6 2.01262e6i 0.0168597 0.0292018i
\(411\) −5.67175e6 + 3.27459e6i −0.0816942 + 0.0471662i
\(412\) 712711. 1.95816e6i 0.0101911 0.0279999i
\(413\) −1.09751e8 1.93521e7i −1.55797 0.274712i
\(414\) −9.35188e6 + 1.64899e6i −0.131795 + 0.0232390i
\(415\) −227943. + 82964.5i −0.00318920 + 0.00116077i
\(416\) 6.00299e7 + 5.03711e7i 0.833849 + 0.699683i
\(417\) 1.80791e7i 0.249326i
\(418\) 2.97296e7 1.38015e7i 0.407062 0.188973i
\(419\) 2.95240e7 0.401359 0.200679 0.979657i \(-0.435685\pi\)
0.200679 + 0.979657i \(0.435685\pi\)
\(420\) 1.23831e6 1.47576e6i 0.0167140 0.0199190i
\(421\) 1.55970e7 + 4.28524e7i 0.209023 + 0.574286i 0.999258 0.0385178i \(-0.0122636\pi\)
−0.790235 + 0.612804i \(0.790041\pi\)
\(422\) −1.00657e6 5.70854e6i −0.0133939 0.0759604i
\(423\) 8.58548e6 4.86907e7i 0.113434 0.643316i
\(424\) −1.63562e7 5.95318e6i −0.214578 0.0781001i
\(425\) −2.37751e7 4.11797e7i −0.309711 0.536435i
\(426\) −4.38760e6 2.53318e6i −0.0567543 0.0327671i
\(427\) −3.75952e7 + 3.15462e7i −0.482891 + 0.405194i
\(428\) 7.17538e7 + 8.55129e7i 0.915195 + 1.09069i
\(429\) −2.32361e7 + 4.02462e7i −0.294301 + 0.509745i
\(430\) −1.15811e6 + 668637.i −0.0145662 + 0.00840979i
\(431\) −6.73777e6 + 1.85119e7i −0.0841559 + 0.231216i −0.974632 0.223814i \(-0.928149\pi\)
0.890476 + 0.455030i \(0.150371\pi\)
\(432\) −2.54157e7 4.48147e6i −0.315247 0.0555866i
\(433\) 4.70264e7 8.29202e6i 0.579265 0.102140i 0.123664 0.992324i \(-0.460535\pi\)
0.455601 + 0.890184i \(0.349424\pi\)
\(434\) 1.91497e7 6.96992e6i 0.234257 0.0852626i
\(435\) −1.77981e6 1.49344e6i −0.0216225 0.0181434i
\(436\) 6.55965e7i 0.791446i
\(437\) −4.61120e7 + 1.22715e7i −0.552548 + 0.147046i
\(438\) 1.43895e6 0.0171248
\(439\) −5.61491e7 + 6.69159e7i −0.663665 + 0.790926i −0.987907 0.155049i \(-0.950447\pi\)
0.324242 + 0.945974i \(0.394891\pi\)
\(440\) −2.86104e6 7.86063e6i −0.0335866 0.0922783i
\(441\) 7.68527e6 + 4.35853e7i 0.0896073 + 0.508188i
\(442\) −3.70195e6 + 2.09948e7i −0.0428710 + 0.243134i
\(443\) 5.73071e7 + 2.08581e7i 0.659170 + 0.239918i 0.649878 0.760039i \(-0.274820\pi\)
0.00929212 + 0.999957i \(0.497042\pi\)
\(444\) 1.02370e7 + 1.77309e7i 0.116956 + 0.202574i
\(445\) 4.06149e6 + 2.34490e6i 0.0460898 + 0.0266100i
\(446\) −4.33235e6 + 3.63527e6i −0.0488336 + 0.0409763i
\(447\) 1.66377e6 + 1.98281e6i 0.0186282 + 0.0222002i
\(448\) 3.68648e7 6.38518e7i 0.409995 0.710132i
\(449\) 3.41838e7 1.97361e7i 0.377643 0.218033i −0.299149 0.954206i \(-0.596703\pi\)
0.676792 + 0.736174i \(0.263369\pi\)
\(450\) 7.20196e6 1.97872e7i 0.0790338 0.217144i
\(451\) 2.04360e8 + 3.60342e7i 2.22775 + 0.392813i
\(452\) −8.46436e7 + 1.49249e7i −0.916598 + 0.161621i
\(453\) 6.51098e6 2.36980e6i 0.0700409 0.0254928i
\(454\) −1.20380e7 1.01011e7i −0.128643 0.107944i
\(455\) 2.12719e7i 0.225825i
\(456\) 8.82837e6 + 787542.i 0.0931078 + 0.00830576i
\(457\) 7.78559e7 0.815724 0.407862 0.913044i \(-0.366275\pi\)
0.407862 + 0.913044i \(0.366275\pi\)
\(458\) −7.32688e6 + 8.73183e6i −0.0762645 + 0.0908885i
\(459\) −8.04639e6 2.21073e7i −0.0832076 0.228611i
\(460\) 1.02502e6 + 5.81315e6i 0.0105307 + 0.0597226i
\(461\) −1.56193e7 + 8.85812e7i −0.159425 + 0.904146i 0.795202 + 0.606344i \(0.207365\pi\)
−0.954628 + 0.297802i \(0.903746\pi\)
\(462\) −1.01955e7 3.71085e6i −0.103391 0.0376311i
\(463\) −7.49690e7 1.29850e8i −0.755334 1.30828i −0.945208 0.326468i \(-0.894141\pi\)
0.189874 0.981808i \(-0.439192\pi\)
\(464\) −9.04131e7 5.22000e7i −0.905060 0.522537i
\(465\) −1.41766e6 + 1.18956e6i −0.0140998 + 0.0118312i
\(466\) −1.83184e6 2.18311e6i −0.0181022 0.0215733i
\(467\) −6.37623e7 + 1.10439e8i −0.626056 + 1.08436i 0.362280 + 0.932069i \(0.381998\pi\)
−0.988336 + 0.152291i \(0.951335\pi\)
\(468\) 1.29625e8 7.48393e7i 1.26460 0.730116i
\(469\) −1.94418e7 + 5.34160e7i −0.188460 + 0.517789i
\(470\) 1.90900e6 + 336608.i 0.0183870 + 0.00324213i
\(471\) −1.04946e7 + 1.85049e6i −0.100439 + 0.0177102i
\(472\) −5.96035e7 + 2.16939e7i −0.566821 + 0.206306i
\(473\) −9.14720e7 7.67541e7i −0.864380 0.725301i
\(474\) 2691.99i 2.52777e-5i
\(475\) 2.75596e7 1.02157e8i 0.257153 0.953209i
\(476\) 7.89117e7 0.731679
\(477\) −3.23822e7 + 3.85916e7i −0.298367 + 0.355580i
\(478\) −3.15787e6 8.67618e6i −0.0289142 0.0794411i
\(479\) 1.33100e7 + 7.54849e7i 0.121108 + 0.686837i 0.983544 + 0.180671i \(0.0578268\pi\)
−0.862436 + 0.506167i \(0.831062\pi\)
\(480\) 288505. 1.63620e6i 0.00260874 0.0147949i
\(481\) −2.12438e8 7.73210e7i −1.90896 0.694804i
\(482\) −1.54414e7 2.67453e7i −0.137894 0.238840i
\(483\) 1.36790e7 + 7.89760e6i 0.121399 + 0.0700896i
\(484\) 1.95647e8 1.64167e8i 1.72559 1.44794i
\(485\) −9.21498e6 1.09820e7i −0.0807736 0.0962622i
\(486\) 7.86563e6 1.36237e7i 0.0685212 0.118682i
\(487\) −2.14458e7 + 1.23817e7i −0.185675 + 0.107200i −0.589956 0.807435i \(-0.700855\pi\)
0.404281 + 0.914635i \(0.367522\pi\)
\(488\) −9.55341e6 + 2.62478e7i −0.0822052 + 0.225857i
\(489\) −1.79010e7 3.15642e6i −0.153091 0.0269941i
\(490\) −1.70883e6 + 301314.i −0.0145249 + 0.00256112i
\(491\) 2.43263e7 8.85404e6i 0.205509 0.0747992i −0.237215 0.971457i \(-0.576234\pi\)
0.442724 + 0.896658i \(0.354012\pi\)
\(492\) 2.08361e7 + 1.74836e7i 0.174953 + 0.146803i
\(493\) 9.51698e7i 0.794252i
\(494\) −3.89057e7 + 2.71434e7i −0.322725 + 0.225156i
\(495\) −2.42110e7 −0.199617
\(496\) −5.34525e7 + 6.37022e7i −0.438049 + 0.522046i
\(497\) −7.08229e7 1.94584e8i −0.576906 1.58504i
\(498\) 31094.9 + 176348.i 0.000251768 + 0.00142785i
\(499\) −2.27650e7 + 1.29107e8i −0.183217 + 1.03908i 0.745007 + 0.667057i \(0.232446\pi\)
−0.928224 + 0.372021i \(0.878665\pi\)
\(500\) −2.47580e7 9.01116e6i −0.198064 0.0720893i
\(501\) 1.91802e7 + 3.32210e7i 0.152524 + 0.264180i
\(502\) −1.56915e7 9.05948e6i −0.124037 0.0716131i
\(503\) −7.75769e7 + 6.50948e7i −0.609577 + 0.511496i −0.894508 0.447052i \(-0.852474\pi\)
0.284931 + 0.958548i \(0.408029\pi\)
\(504\) 4.63414e7 + 5.52275e7i 0.361974 + 0.431384i
\(505\) 8.48535e6 1.46970e7i 0.0658863 0.114118i
\(506\) 2.87907e7 1.66223e7i 0.222229 0.128304i
\(507\) 1.41899e7 3.89864e7i 0.108882 0.299150i
\(508\) −1.05464e8 1.85962e7i −0.804479 0.141851i
\(509\) 1.90373e8 3.35678e7i 1.44361 0.254548i 0.603676 0.797230i \(-0.293702\pi\)
0.839938 + 0.542682i \(0.182591\pi\)
\(510\) 424733. 154590.i 0.00320189 0.00116539i
\(511\) 4.50533e7 + 3.78042e7i 0.337648 + 0.283320i
\(512\) 1.27032e8i 0.946465i
\(513\) 2.22051e7 4.74079e7i 0.164475 0.351155i
\(514\) −2.57384e7 −0.189536
\(515\) 313577. 373706.i 0.00229574 0.00273595i
\(516\) −5.35307e6 1.47075e7i −0.0389632 0.107050i
\(517\) 3.00565e7 + 1.70459e8i 0.217504 + 1.23352i
\(518\) 9.16523e6 5.19786e7i 0.0659408 0.373969i
\(519\) −4.59713e7 1.67322e7i −0.328840 0.119688i
\(520\) 6.05346e6 + 1.04849e7i 0.0430520 + 0.0745683i
\(521\) 2.48531e6 + 1.43490e6i 0.0175739 + 0.0101463i 0.508761 0.860908i \(-0.330104\pi\)
−0.491187 + 0.871054i \(0.663437\pi\)
\(522\) 3.22849e7 2.70902e7i 0.226980 0.190459i
\(523\) 1.62654e8 + 1.93843e8i 1.13700 + 1.35502i 0.925996 + 0.377533i \(0.123227\pi\)
0.211000 + 0.977486i \(0.432328\pi\)
\(524\) −7.95155e6 + 1.37725e7i −0.0552660 + 0.0957235i
\(525\) −3.03324e7 + 1.75124e7i −0.209618 + 0.121023i
\(526\) −1.65663e7 + 4.55156e7i −0.113833 + 0.312754i
\(527\) −7.46535e7 1.31634e7i −0.510057 0.0899367i
\(528\) 4.36011e7 7.68805e6i 0.296207 0.0522293i
\(529\) 9.36293e7 3.40783e7i 0.632477 0.230203i
\(530\) −1.51304e6 1.26960e6i −0.0101631 0.00852781i
\(531\) 1.83580e8i 1.22615i
\(532\) 1.23953e8 + 1.24376e8i 0.823230 + 0.826041i
\(533\) −3.00336e8 −1.98347
\(534\) 2.22536e6 2.65208e6i 0.0146142 0.0174166i
\(535\) 8.93808e6 + 2.45572e7i 0.0583691 + 0.160368i
\(536\) 5.61802e6 + 3.18614e7i 0.0364829 + 0.206905i
\(537\) 5.56561e6 3.15641e7i 0.0359410 0.203831i
\(538\) 4.57859e7 + 1.66647e7i 0.294026 + 0.107017i
\(539\) −7.74698e7 1.34182e8i −0.494728 0.856893i
\(540\) −5.60840e6 3.23801e6i −0.0356170 0.0205635i
\(541\) −1.03723e8 + 8.70336e7i −0.655061 + 0.549661i −0.908602 0.417663i \(-0.862849\pi\)
0.253541 + 0.967325i \(0.418405\pi\)
\(542\) 1.13334e7 + 1.35067e7i 0.0711809 + 0.0848301i
\(543\) 4.23957e6 7.34315e6i 0.0264803 0.0458652i
\(544\) 5.89379e7 3.40278e7i 0.366098 0.211367i
\(545\) −5.25228e6 + 1.44305e7i −0.0324458 + 0.0891440i
\(546\) 1.54645e7 + 2.72680e6i 0.0950073 + 0.0167524i
\(547\) 1.55303e8 2.73841e7i 0.948894 0.167316i 0.322279 0.946645i \(-0.395551\pi\)
0.626615 + 0.779329i \(0.284440\pi\)
\(548\) −6.93923e7 + 2.52567e7i −0.421667 + 0.153474i
\(549\) 6.19301e7 + 5.19655e7i 0.374269 + 0.314049i
\(550\) 7.37178e7i 0.443082i
\(551\) 1.50001e8 1.49491e8i 0.896684 0.893634i
\(552\) 8.98986e6 0.0534485
\(553\) −70723.9 + 84285.4i −0.000418206 + 0.000498399i
\(554\) 1.00846e7 + 2.77072e7i 0.0593102 + 0.162954i
\(555\) 832312. + 4.72027e6i 0.00486863 + 0.0276114i
\(556\) 3.53985e7 2.00755e8i 0.205949 1.16800i
\(557\) 1.19992e8 + 4.36735e7i 0.694363 + 0.252728i 0.665002 0.746841i \(-0.268431\pi\)
0.0293610 + 0.999569i \(0.490653\pi\)
\(558\) −1.67847e7 2.90720e7i −0.0966077 0.167330i
\(559\) 1.49667e8 + 8.64104e7i 0.856824 + 0.494687i
\(560\) 1.55243e7 1.30264e7i 0.0883990 0.0741756i
\(561\) 2.59425e7 + 3.09171e7i 0.146934 + 0.175110i
\(562\) −9.72721e6 + 1.68480e7i −0.0547998 + 0.0949161i
\(563\) −6.56785e7 + 3.79195e7i −0.368042 + 0.212489i −0.672603 0.740004i \(-0.734824\pi\)
0.304560 + 0.952493i \(0.401490\pi\)
\(564\) −7.75955e6 + 2.13192e7i −0.0432513 + 0.118832i
\(565\) −1.98157e7 3.49404e6i −0.109866 0.0193723i
\(566\) 6.51394e7 1.14858e7i 0.359248 0.0633452i
\(567\) 1.87773e8 6.83439e7i 1.03011 0.374930i
\(568\) −9.02826e7 7.57561e7i −0.492674 0.413402i
\(569\) 3.36855e7i 0.182855i 0.995812 + 0.0914273i \(0.0291429\pi\)
−0.995812 + 0.0914273i \(0.970857\pi\)
\(570\) 910818. + 426612.i 0.00491821 + 0.00230361i
\(571\) −2.27173e8 −1.22025 −0.610123 0.792306i \(-0.708880\pi\)
−0.610123 + 0.792306i \(0.708880\pi\)
\(572\) −3.36822e8 + 4.01409e8i −1.79975 + 2.14486i
\(573\) −3.58194e6 9.84130e6i −0.0190395 0.0523105i
\(574\) −1.21760e7 6.90535e7i −0.0643827 0.365132i
\(575\) 1.86357e7 1.05688e8i 0.0980262 0.555934i
\(576\) −1.14129e8 4.15396e7i −0.597213 0.217368i
\(577\) −1.08452e8 1.87844e8i −0.564560 0.977846i −0.997091 0.0762267i \(-0.975713\pi\)
0.432531 0.901619i \(-0.357621\pi\)
\(578\) −2.46999e7 1.42605e7i −0.127912 0.0738501i
\(579\) 3.55989e6 2.98710e6i 0.0183401 0.0153891i
\(580\) −1.68394e7 2.00684e7i −0.0863061 0.102856i
\(581\) −3.65943e6 + 6.33832e6i −0.0186589 + 0.0323181i
\(582\) −9.16507e6 + 5.29145e6i −0.0464908 + 0.0268415i
\(583\) 6.03203e7 1.65729e8i 0.304409 0.836357i
\(584\) 3.29649e7 + 5.81260e6i 0.165506 + 0.0291831i
\(585\) 3.45085e7 6.08478e6i 0.172369 0.0303932i
\(586\) 4.52410e7 1.64664e7i 0.224822 0.0818287i
\(587\) −3.03747e8 2.54874e8i −1.50175 1.26012i −0.878157 0.478373i \(-0.841227\pi\)
−0.623596 0.781747i \(-0.714329\pi\)
\(588\) 2.03086e7i 0.0998959i
\(589\) −9.65167e7 1.38341e8i −0.472342 0.677027i
\(590\) −7.19757e6 −0.0350453
\(591\) 2.21760e7 2.64284e7i 0.107429 0.128029i
\(592\) 7.36629e7 + 2.02387e8i 0.355045 + 0.975479i
\(593\) 5.17611e7 + 2.93552e8i 0.248222 + 1.40773i 0.812890 + 0.582417i \(0.197893\pi\)
−0.564669 + 0.825318i \(0.690996\pi\)
\(594\) −6.33343e6 + 3.59187e7i −0.0302190 + 0.171380i
\(595\) 1.73597e7 + 6.31841e6i 0.0824121 + 0.0299956i
\(596\) 1.45927e7 + 2.52753e7i 0.0689281 + 0.119387i
\(597\) 1.75099e7 + 1.01094e7i 0.0822927 + 0.0475117i
\(598\) −3.68584e7 + 3.09279e7i −0.172359 + 0.144626i
\(599\) −1.99749e8 2.38051e8i −0.929401 1.10762i −0.993964 0.109704i \(-0.965010\pi\)
0.0645632 0.997914i \(-0.479435\pi\)
\(600\) −9.96723e6 + 1.72637e7i −0.0461446 + 0.0799247i
\(601\) 1.67090e8 9.64696e7i 0.769711 0.444393i −0.0630603 0.998010i \(-0.520086\pi\)
0.832772 + 0.553617i \(0.186753\pi\)
\(602\) −1.37999e7 + 3.79149e7i −0.0632537 + 0.173788i
\(603\) 9.22158e7 + 1.62601e7i 0.420585 + 0.0741604i
\(604\) 7.69398e7 1.35666e7i 0.349173 0.0615686i
\(605\) 5.61850e7 2.04497e7i 0.253720 0.0923464i
\(606\) −9.59691e6 8.05276e6i −0.0431235 0.0361849i
\(607\) 1.35695e8i 0.606734i 0.952874 + 0.303367i \(0.0981108\pi\)
−0.952874 + 0.303367i \(0.901889\pi\)
\(608\) 1.46211e8 + 3.94443e7i 0.650533 + 0.175498i
\(609\) −7.01007e7 −0.310364
\(610\) −2.03739e6 + 2.42807e6i −0.00897605 + 0.0106972i
\(611\) −8.56804e7 2.35405e8i −0.375628 1.03203i
\(612\) −2.25725e7 1.28015e8i −0.0984750 0.558479i
\(613\) −5.66903e6 + 3.21507e7i −0.0246109 + 0.139575i −0.994637 0.103424i \(-0.967020\pi\)
0.970026 + 0.242999i \(0.0781313\pi\)
\(614\) −7.01974e7 2.55498e7i −0.303260 0.110378i
\(615\) 3.18381e6 + 5.51452e6i 0.0136874 + 0.0237073i
\(616\) −2.18578e8 1.26196e8i −0.935112 0.539887i
\(617\) 3.52415e8 2.95711e8i 1.50037 1.25896i 0.620071 0.784546i \(-0.287104\pi\)
0.880301 0.474416i \(-0.157341\pi\)
\(618\) −231485. 275873.i −0.000980746 0.00116881i
\(619\) −4.91510e7 + 8.51320e7i −0.207234 + 0.358939i −0.950842 0.309676i \(-0.899779\pi\)
0.743608 + 0.668615i \(0.233113\pi\)
\(620\) −1.80712e7 + 1.04334e7i −0.0758251 + 0.0437776i
\(621\) 1.81603e7 4.98951e7i 0.0758314 0.208345i
\(622\) 220323. + 38849.0i 0.000915566 + 0.000161439i
\(623\) 1.39351e8 2.45713e7i 0.576295 0.101616i
\(624\) −6.02135e7 + 2.19159e7i −0.247822 + 0.0901999i
\(625\) 1.79920e8 + 1.50971e8i 0.736952 + 0.618376i
\(626\) 4.61015e6i 0.0187928i
\(627\) −7.97972e6 + 8.94529e7i −0.0323732 + 0.362904i
\(628\) −1.20159e8 −0.485149
\(629\) −1.26201e8 + 1.50401e8i −0.507121 + 0.604363i
\(630\) 2.79804e6 + 7.68754e6i 0.0111900 + 0.0307444i
\(631\) 7.92154e7 + 4.49253e8i 0.315298 + 1.78814i 0.570542 + 0.821268i \(0.306733\pi\)
−0.255244 + 0.966877i \(0.582156\pi\)
\(632\) −10874.2 + 61670.6i −4.30770e−5 + 0.000244302i
\(633\) 1.49247e7 + 5.43214e6i 0.0588429 + 0.0214171i
\(634\) 1.68940e7 + 2.92612e7i 0.0662924 + 0.114822i
\(635\) −2.17120e7 1.25354e7i −0.0847967 0.0489574i
\(636\) 1.77086e7 1.48592e7i 0.0688354 0.0577597i
\(637\) 1.44142e8 + 1.71782e8i 0.557665 + 0.664600i
\(638\) −7.37715e7 + 1.27776e8i −0.284071 + 0.492025i
\(639\) −2.95407e8 + 1.70554e8i −1.13219 + 0.653670i
\(640\) 8.44005e6 2.31888e7i 0.0321962 0.0884584i
\(641\) 1.50167e8 + 2.64785e7i 0.570164 + 0.100535i 0.451295 0.892375i \(-0.350962\pi\)
0.118869 + 0.992910i \(0.462073\pi\)
\(642\) 1.89986e7 3.34997e6i 0.0717987 0.0126600i
\(643\) 1.36541e8 4.96970e7i 0.513607 0.186938i −0.0721968 0.997390i \(-0.523001\pi\)
0.585804 + 0.810453i \(0.300779\pi\)
\(644\) 1.36433e8 + 1.14480e8i 0.510811 + 0.428621i
\(645\) 3.66409e6i 0.0136549i
\(646\) 1.05952e7 + 3.98129e7i 0.0393015 + 0.147681i
\(647\) 2.75982e8 1.01899 0.509494 0.860474i \(-0.329833\pi\)
0.509494 + 0.860474i \(0.329833\pi\)
\(648\) 7.31044e7 8.71225e7i 0.268670 0.320188i
\(649\) −2.19812e8 6.03929e8i −0.804114 2.20928i
\(650\) −1.85270e7 1.05072e8i −0.0674628 0.382601i
\(651\) −9.69599e6 + 5.49887e7i −0.0351439 + 0.199311i
\(652\) −1.92597e8 7.00996e7i −0.694875 0.252914i
\(653\) 1.69043e8 + 2.92790e8i 0.607095 + 1.05152i 0.991717 + 0.128445i \(0.0409985\pi\)
−0.384622 + 0.923074i \(0.625668\pi\)
\(654\) 9.81758e6 + 5.66818e6i 0.0350971 + 0.0202633i
\(655\) −2.85201e6 + 2.39312e6i −0.0101491 + 0.00851609i
\(656\) 1.83919e8 + 2.19186e8i 0.651501 + 0.776428i
\(657\) 4.84408e7 8.39019e7i 0.170811 0.295853i
\(658\) 5.06510e7 2.92434e7i 0.177791 0.102648i
\(659\) −1.48651e8 + 4.08416e8i −0.519412 + 1.42707i 0.351757 + 0.936091i \(0.385584\pi\)
−0.871170 + 0.490982i \(0.836638\pi\)
\(660\) 1.09409e7 + 1.92918e6i 0.0380560 + 0.00671030i
\(661\) −3.76218e8 + 6.63373e7i −1.30267 + 0.229696i −0.781580 0.623805i \(-0.785586\pi\)
−0.521091 + 0.853501i \(0.674475\pi\)
\(662\) −2.27303e7 + 8.27316e6i −0.0783486 + 0.0285166i
\(663\) −4.47466e7 3.75469e7i −0.153539 0.128835i
\(664\) 4.16555e6i 0.0142288i
\(665\) 1.73095e7 + 3.72861e7i 0.0588600 + 0.126789i
\(666\) −8.69444e7 −0.294319
\(667\) 1.38067e8 1.64542e8i 0.465277 0.554496i
\(668\) 1.47936e8 + 4.06450e8i 0.496299 + 1.36357i
\(669\) −2.69083e6 1.52604e7i −0.00898685 0.0509670i
\(670\) −637505. + 3.61547e6i −0.00211963 + 0.0120210i
\(671\) −2.65954e8 9.67994e7i −0.880317 0.320409i
\(672\) −2.50644e7 4.34128e7i −0.0825942 0.143057i
\(673\) 3.63751e8 + 2.10012e8i 1.19332 + 0.688966i 0.959059 0.283206i \(-0.0913981\pi\)
0.234266 + 0.972173i \(0.424731\pi\)
\(674\) 5.48970e7 4.60640e7i 0.179295 0.150447i
\(675\) 7.56817e7 + 9.01939e7i 0.246082 + 0.293269i
\(676\) 2.33903e8 4.05133e8i 0.757175 1.31147i
\(677\) 3.71925e8 2.14731e8i 1.19864 0.692037i 0.238390 0.971170i \(-0.423380\pi\)
0.960252 + 0.279133i \(0.0900470\pi\)
\(678\) −5.08027e6 + 1.39579e7i −0.0163004 + 0.0447849i
\(679\) −4.25973e8 7.51105e7i −1.36073 0.239934i
\(680\) 1.03547e7 1.82580e6i 0.0329313 0.00580668i
\(681\) 4.04605e7 1.47264e7i 0.128112 0.0466290i
\(682\) 9.00268e7 + 7.55415e7i 0.283804 + 0.238140i
\(683\) 3.29723e8i 1.03487i −0.855721 0.517437i \(-0.826886\pi\)
0.855721 0.517437i \(-0.173114\pi\)
\(684\) 1.66313e8 2.36661e8i 0.519708 0.739534i
\(685\) −1.72878e7 −0.0537859
\(686\) 2.90120e7 3.45751e7i 0.0898679 0.107100i
\(687\) −1.06819e7 2.93483e7i −0.0329442 0.0905135i
\(688\) −2.85903e7 1.62143e8i −0.0877916 0.497891i
\(689\) −4.43245e7 + 2.51377e8i −0.135515 + 0.768542i
\(690\) 958603. + 348903.i 0.00291804 + 0.00106208i
\(691\) −2.21736e8 3.84058e8i −0.672051 1.16403i −0.977321 0.211761i \(-0.932080\pi\)
0.305270 0.952266i \(-0.401253\pi\)
\(692\) −4.77716e8 2.75810e8i −1.44162 0.832322i
\(693\) −5.59590e8 + 4.69552e8i −1.68140 + 1.41086i
\(694\) 7.30401e7 + 8.70458e7i 0.218516 + 0.260417i
\(695\) 2.38616e7 4.13295e7i 0.0710796 0.123113i
\(696\) −3.45526e7 + 1.99490e7i −0.102483 + 0.0591688i
\(697\) −8.92091e7 + 2.45100e8i −0.263458 + 0.723844i
\(698\) 1.06272e8 + 1.87386e7i 0.312501 + 0.0551023i
\(699\) 7.68986e6 1.35593e6i 0.0225158 0.00397014i
\(700\) −3.71109e8 + 1.35072e8i −1.08195 + 0.393797i
\(701\) −1.37224e8 1.15145e8i −0.398360 0.334264i 0.421499 0.906829i \(-0.361504\pi\)
−0.819859 + 0.572565i \(0.805948\pi\)
\(702\) 5.27874e7i 0.152588i
\(703\) −4.35287e8 + 3.73354e7i −1.25288 + 0.107462i
\(704\) 4.25191e8 1.21861
\(705\) −3.41403e6 + 4.06868e6i −0.00974316 + 0.0116115i
\(706\) −3.75411e7 1.03143e8i −0.106682 0.293108i
\(707\) −8.89146e7 5.04260e8i −0.251603 1.42691i
\(708\) 1.46281e7 8.29600e7i 0.0412181 0.233759i
\(709\) 4.06918e8 + 1.48106e8i 1.14174 + 0.415560i 0.842542 0.538631i \(-0.181058\pi\)
0.299200 + 0.954191i \(0.403280\pi\)
\(710\) −6.68683e6 1.15819e7i −0.0186829 0.0323598i
\(711\) 156963. + 90622.7i 0.000436706 + 0.000252132i
\(712\) 6.16936e7 5.17670e7i 0.170923 0.143421i
\(713\) −1.09974e8 1.31062e8i −0.303403 0.361582i
\(714\) 6.81874e6 1.18104e7i 0.0187331 0.0324467i
\(715\) −1.06238e8 + 6.13363e7i −0.290643 + 0.167803i
\(716\) 1.23604e8 3.39599e8i 0.336739 0.925183i
\(717\) 2.49138e7 + 4.39298e6i 0.0675901 + 0.0119180i
\(718\) 1.58100e7 2.78772e6i 0.0427127 0.00753141i
\(719\) 2.31529e8 8.42696e7i 0.622900 0.226717i −0.0112380 0.999937i \(-0.503577\pi\)
0.634138 + 0.773220i \(0.281355\pi\)
\(720\) −2.55729e7 2.14582e7i −0.0685145 0.0574905i
\(721\) 1.47191e7i 0.0392712i
\(722\) −4.61080e7 + 7.92366e7i −0.122508 + 0.210530i
\(723\) 8.46180e7 0.223897
\(724\) 6.14551e7 7.32394e7i 0.161936 0.192987i
\(725\) 1.62901e8 + 4.47568e8i 0.427475 + 1.17448i
\(726\) −7.66447e6 4.34674e7i −0.0200296 0.113594i
\(727\) 3.96581e7 2.24912e8i 0.103212 0.585342i −0.888708 0.458474i \(-0.848396\pi\)
0.991920 0.126868i \(-0.0404926\pi\)
\(728\) 3.43260e8 + 1.24936e8i 0.889670 + 0.323813i
\(729\) −1.49730e8 2.59340e8i −0.386479 0.669402i
\(730\) 3.28951e6 + 1.89920e6i 0.00845595 + 0.00488205i
\(731\) 1.14974e8 9.64749e7i 0.294339 0.246980i
\(732\) −2.38455e7 2.84179e7i −0.0607957 0.0724535i
\(733\) −3.67015e8 + 6.35688e8i −0.931905 + 1.61411i −0.151842 + 0.988405i \(0.548521\pi\)
−0.780062 + 0.625702i \(0.784813\pi\)
\(734\) 8.85860e7 5.11451e7i 0.224015 0.129335i
\(735\) 1.62610e6 4.46766e6i 0.00409529 0.0112517i
\(736\) 1.51265e8 + 2.66721e7i 0.379406 + 0.0668996i
\(737\) −3.22834e8 + 5.69243e7i −0.806448 + 0.142199i
\(738\) −1.08540e8 + 3.95052e7i −0.270035 + 0.0982846i
\(739\) 7.19440e7 + 6.03682e7i 0.178263 + 0.149580i 0.727553 0.686051i \(-0.240657\pi\)
−0.549290 + 0.835632i \(0.685102\pi\)
\(740\) 5.40449e7i 0.133370i
\(741\) −1.11079e7 1.29505e8i −0.0273009 0.318296i
\(742\) −5.95938e7 −0.145878
\(743\) −6.75357e7 + 8.04859e7i −0.164652 + 0.196225i −0.842062 0.539381i \(-0.818658\pi\)
0.677410 + 0.735606i \(0.263103\pi\)
\(744\) 1.08693e7 + 2.98632e7i 0.0263926 + 0.0725132i
\(745\) 1.18645e6 + 6.72870e6i 0.00286933 + 0.0162728i
\(746\) −2.29435e7 + 1.30119e8i −0.0552642 + 0.313419i
\(747\) 1.13292e7 + 4.12348e6i 0.0271792 + 0.00989242i
\(748\) 2.27538e8 + 3.94107e8i 0.543687 + 0.941693i
\(749\) 6.82852e8 + 3.94245e8i 1.62510 + 0.938254i
\(750\) −3.48799e6 + 2.92677e6i −0.00826784 + 0.00693754i
\(751\) −3.15599e8 3.76116e8i −0.745102 0.887978i 0.251707 0.967803i \(-0.419008\pi\)
−0.996809 + 0.0798257i \(0.974564\pi\)
\(752\) −1.19331e8 + 2.06687e8i −0.280607 + 0.486025i
\(753\) 4.29942e7 2.48227e7i 0.100699 0.0581386i
\(754\) 7.30352e7 2.00663e8i 0.170380 0.468115i
\(755\) 1.80122e7 + 3.17603e6i 0.0418528 + 0.00737979i
\(756\) −1.92426e8 + 3.39298e7i −0.445346 + 0.0785265i
\(757\) −5.19478e8 + 1.89074e8i −1.19751 + 0.435858i −0.862355 0.506305i \(-0.831011\pi\)
−0.335156 + 0.942163i \(0.608789\pi\)
\(758\) −7.43662e7 6.24006e7i −0.170753 0.143279i
\(759\) 9.10893e7i 0.208325i
\(760\) 1.91426e7 + 1.34525e7i 0.0436074 + 0.0306451i
\(761\) 5.19080e8 1.17782 0.588912 0.808197i \(-0.299556\pi\)
0.588912 + 0.808197i \(0.299556\pi\)
\(762\) −1.18964e7 + 1.41776e7i −0.0268875 + 0.0320432i
\(763\) 1.58471e8 + 4.35397e8i 0.356761 + 0.980193i
\(764\) −2.05058e7 1.16294e8i −0.0459828 0.260782i