Properties

Label 19.7.f.a.2.4
Level $19$
Weight $7$
Character 19.2
Analytic conductor $4.371$
Analytic rank $0$
Dimension $54$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 2.4
Character \(\chi\) \(=\) 19.2
Dual form 19.7.f.a.10.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.80629 - 0.847479i) q^{2} +(-21.7309 + 25.8979i) q^{3} +(-37.7581 - 13.7428i) q^{4} +(225.514 - 82.0804i) q^{5} +(126.393 - 106.056i) q^{6} +(-232.429 - 402.578i) q^{7} +(440.331 + 254.225i) q^{8} +(-71.8793 - 407.648i) q^{9} +O(q^{10})\) \(q+(-4.80629 - 0.847479i) q^{2} +(-21.7309 + 25.8979i) q^{3} +(-37.7581 - 13.7428i) q^{4} +(225.514 - 82.0804i) q^{5} +(126.393 - 106.056i) q^{6} +(-232.429 - 402.578i) q^{7} +(440.331 + 254.225i) q^{8} +(-71.8793 - 407.648i) q^{9} +(-1153.45 + 203.384i) q^{10} +(814.887 - 1411.43i) q^{11} +(1176.43 - 679.212i) q^{12} +(-292.948 - 349.122i) q^{13} +(775.943 + 2131.89i) q^{14} +(-2774.92 + 7624.03i) q^{15} +(69.0555 + 57.9444i) q^{16} +(296.531 - 1681.71i) q^{17} +2020.19i q^{18} +(-4210.10 - 5414.88i) q^{19} -9643.00 q^{20} +(15476.8 + 2728.98i) q^{21} +(-5112.74 + 6093.12i) q^{22} +(-1222.80 - 445.064i) q^{23} +(-16152.7 + 5879.11i) q^{24} +(32149.9 - 26977.0i) q^{25} +(1112.12 + 1926.25i) q^{26} +(-9224.44 - 5325.73i) q^{27} +(3243.50 + 18394.8i) q^{28} +(6614.47 - 1166.31i) q^{29} +(19798.3 - 34291.6i) q^{30} +(4653.34 - 2686.61i) q^{31} +(-21199.6 - 25264.7i) q^{32} +(18844.7 + 51775.5i) q^{33} +(-2850.43 + 7831.48i) q^{34} +(-85459.7 - 71709.2i) q^{35} +(-2888.21 + 16379.8i) q^{36} +47458.6i q^{37} +(15646.0 + 29593.5i) q^{38} +15407.6 q^{39} +(120168. + 21188.8i) q^{40} +(30496.4 - 36344.2i) q^{41} +(-72073.4 - 26232.6i) q^{42} +(506.221 - 184.249i) q^{43} +(-50165.5 + 42093.9i) q^{44} +(-49669.7 - 86030.4i) q^{45} +(5499.97 + 3175.41i) q^{46} +(27431.5 + 155571. i) q^{47} +(-3001.28 + 529.207i) q^{48} +(-49221.6 + 85254.3i) q^{49} +(-177384. + 102413. i) q^{50} +(37108.9 + 44224.6i) q^{51} +(6263.25 + 17208.1i) q^{52} +(-8777.68 + 24116.5i) q^{53} +(39821.9 + 33414.6i) q^{54} +(67918.0 - 385182. i) q^{55} -236357. i q^{56} +(231724. + 8637.65i) q^{57} -32779.5 q^{58} +(93697.5 + 16521.4i) q^{59} +(209551. - 249734. i) q^{60} +(37171.1 + 13529.2i) q^{61} +(-24642.1 + 8969.01i) q^{62} +(-147403. + 123686. i) q^{63} +(77595.6 + 134400. i) q^{64} +(-94720.1 - 54686.6i) q^{65} +(-46694.6 - 264819. i) q^{66} +(-414043. + 73006.9i) q^{67} +(-34307.9 + 59423.0i) q^{68} +(38098.9 - 21996.4i) q^{69} +(349972. + 417081. i) q^{70} +(-146173. - 401606. i) q^{71} +(71983.6 - 197773. i) q^{72} +(4128.91 + 3464.56i) q^{73} +(40220.1 - 228100. i) q^{74} +1.41885e6i q^{75} +(84549.6 + 262314. i) q^{76} -757612. q^{77} +(-74053.3 - 13057.6i) q^{78} +(104715. - 124795. i) q^{79} +(20329.1 + 7399.18i) q^{80} +(621942. - 226369. i) q^{81} +(-177376. + 148836. i) q^{82} +(250787. + 434376. i) q^{83} +(-546872. - 315737. i) q^{84} +(-71163.5 - 403588. i) q^{85} +(-2589.19 + 456.545i) q^{86} +(-113534. + 196646. i) q^{87} +(717640. - 414329. i) q^{88} +(-168525. - 200840. i) q^{89} +(165818. + 455581. i) q^{90} +(-72459.4 + 199081. i) q^{91} +(40054.3 + 33609.6i) q^{92} +(-31543.9 + 178894. i) q^{93} -770970. i q^{94} +(-1.39389e6 - 875565. i) q^{95} +1.11499e6 q^{96} +(734952. + 129592. i) q^{97} +(308825. - 368043. i) q^{98} +(-633937. - 230734. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9} - 1689 q^{10} + 1677 q^{11} - 9 q^{12} - 10506 q^{13} + 6105 q^{14} + 24138 q^{15} + 23760 q^{16} - 3438 q^{17} - 30918 q^{19} - 76650 q^{20} - 59055 q^{21} + 20490 q^{22} + 42498 q^{23} + 31848 q^{24} + 7914 q^{25} + 109989 q^{26} + 124821 q^{27} - 109476 q^{28} - 27726 q^{29} - 153516 q^{30} - 30789 q^{31} - 114375 q^{32} + 126039 q^{33} + 359796 q^{34} + 160161 q^{35} + 184995 q^{36} - 245244 q^{38} - 390564 q^{39} - 372678 q^{40} - 24708 q^{41} - 244893 q^{42} - 30726 q^{43} - 301419 q^{44} + 293037 q^{45} + 69246 q^{46} - 71454 q^{47} + 1024041 q^{48} - 350346 q^{49} - 104148 q^{50} - 180672 q^{51} + 921801 q^{52} + 822558 q^{53} + 308469 q^{54} + 623517 q^{55} - 17862 q^{57} - 1150644 q^{58} - 463812 q^{59} - 908130 q^{60} - 583698 q^{61} - 429732 q^{62} - 2576043 q^{63} - 328293 q^{64} - 1056789 q^{65} - 1038756 q^{66} + 1120464 q^{67} + 717270 q^{68} + 3771567 q^{69} + 4845345 q^{70} + 94494 q^{71} + 2351634 q^{72} + 950850 q^{73} + 55149 q^{74} - 218814 q^{76} - 343086 q^{77} + 1833471 q^{78} - 4936494 q^{79} - 9642039 q^{80} - 769551 q^{81} - 8627793 q^{82} - 412131 q^{83} - 3125205 q^{84} - 896910 q^{85} + 8878236 q^{86} + 610737 q^{87} + 13604751 q^{88} + 6653022 q^{89} + 3142734 q^{90} + 3409821 q^{91} - 3043740 q^{92} - 816393 q^{93} + 4839186 q^{95} - 5667138 q^{96} - 853656 q^{97} - 17679315 q^{98} - 13991937 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.80629 0.847479i −0.600786 0.105935i −0.135021 0.990843i \(-0.543110\pi\)
−0.465766 + 0.884908i \(0.654221\pi\)
\(3\) −21.7309 + 25.8979i −0.804850 + 0.959182i −0.999766 0.0216375i \(-0.993112\pi\)
0.194916 + 0.980820i \(0.437556\pi\)
\(4\) −37.7581 13.7428i −0.589970 0.214732i
\(5\) 225.514 82.0804i 1.80411 0.656643i 0.806230 0.591603i \(-0.201505\pi\)
0.997883 0.0650403i \(-0.0207176\pi\)
\(6\) 126.393 106.056i 0.585154 0.491002i
\(7\) −232.429 402.578i −0.677634 1.17370i −0.975691 0.219149i \(-0.929672\pi\)
0.298057 0.954548i \(-0.403661\pi\)
\(8\) 440.331 + 254.225i 0.860021 + 0.496534i
\(9\) −71.8793 407.648i −0.0985998 0.559187i
\(10\) −1153.45 + 203.384i −1.15345 + 0.203384i
\(11\) 814.887 1411.43i 0.612236 1.06042i −0.378626 0.925550i \(-0.623603\pi\)
0.990863 0.134875i \(-0.0430633\pi\)
\(12\) 1176.43 679.212i 0.680804 0.393063i
\(13\) −292.948 349.122i −0.133340 0.158909i 0.695243 0.718775i \(-0.255297\pi\)
−0.828583 + 0.559866i \(0.810852\pi\)
\(14\) 775.943 + 2131.89i 0.282778 + 0.776926i
\(15\) −2774.92 + 7624.03i −0.822198 + 2.25897i
\(16\) 69.0555 + 57.9444i 0.0168592 + 0.0141466i
\(17\) 296.531 1681.71i 0.0603563 0.342298i −0.939644 0.342155i \(-0.888843\pi\)
1.00000 0.000143144i \(-4.55642e-5\pi\)
\(18\) 2020.19i 0.346397i
\(19\) −4210.10 5414.88i −0.613807 0.789457i
\(20\) −9643.00 −1.20537
\(21\) 15476.8 + 2728.98i 1.67118 + 0.294675i
\(22\) −5112.74 + 6093.12i −0.480159 + 0.572232i
\(23\) −1222.80 445.064i −0.100502 0.0365796i 0.291280 0.956638i \(-0.405919\pi\)
−0.391782 + 0.920058i \(0.628141\pi\)
\(24\) −16152.7 + 5879.11i −1.16845 + 0.425283i
\(25\) 32149.9 26977.0i 2.05760 1.72653i
\(26\) 1112.12 + 1926.25i 0.0632750 + 0.109596i
\(27\) −9224.44 5325.73i −0.468650 0.270575i
\(28\) 3243.50 + 18394.8i 0.147754 + 0.837956i
\(29\) 6614.47 1166.31i 0.271207 0.0478211i −0.0363907 0.999338i \(-0.511586\pi\)
0.307598 + 0.951517i \(0.400475\pi\)
\(30\) 19798.3 34291.6i 0.733270 1.27006i
\(31\) 4653.34 2686.61i 0.156199 0.0901818i −0.419863 0.907588i \(-0.637922\pi\)
0.576062 + 0.817406i \(0.304589\pi\)
\(32\) −21199.6 25264.7i −0.646962 0.771019i
\(33\) 18844.7 + 51775.5i 0.524382 + 1.44073i
\(34\) −2850.43 + 7831.48i −0.0725225 + 0.199254i
\(35\) −85459.7 71709.2i −1.99323 1.67252i
\(36\) −2888.21 + 16379.8i −0.0619043 + 0.351076i
\(37\) 47458.6i 0.936935i 0.883481 + 0.468468i \(0.155194\pi\)
−0.883481 + 0.468468i \(0.844806\pi\)
\(38\) 15646.0 + 29593.5i 0.285136 + 0.539318i
\(39\) 15407.6 0.259741
\(40\) 120168. + 21188.8i 1.87762 + 0.331075i
\(41\) 30496.4 36344.2i 0.442484 0.527332i −0.497997 0.867179i \(-0.665931\pi\)
0.940481 + 0.339847i \(0.110375\pi\)
\(42\) −72073.4 26232.6i −0.972808 0.354073i
\(43\) 506.221 184.249i 0.00636700 0.00231740i −0.338835 0.940846i \(-0.610033\pi\)
0.345202 + 0.938529i \(0.387811\pi\)
\(44\) −50165.5 + 42093.9i −0.588908 + 0.494153i
\(45\) −49669.7 86030.4i −0.545072 0.944092i
\(46\) 5499.97 + 3175.41i 0.0565050 + 0.0326232i
\(47\) 27431.5 + 155571.i 0.264214 + 1.49843i 0.771265 + 0.636514i \(0.219624\pi\)
−0.507051 + 0.861916i \(0.669265\pi\)
\(48\) −3001.28 + 529.207i −0.0271383 + 0.00478522i
\(49\) −49221.6 + 85254.3i −0.418377 + 0.724650i
\(50\) −177384. + 102413.i −1.41908 + 0.819304i
\(51\) 37108.9 + 44224.6i 0.279748 + 0.333391i
\(52\) 6263.25 + 17208.1i 0.0445440 + 0.122384i
\(53\) −8777.68 + 24116.5i −0.0589593 + 0.161989i −0.965675 0.259753i \(-0.916359\pi\)
0.906716 + 0.421742i \(0.138581\pi\)
\(54\) 39821.9 + 33414.6i 0.252895 + 0.212204i
\(55\) 67918.0 385182.i 0.408223 2.31515i
\(56\) 236357.i 1.34587i
\(57\) 231724. + 8637.65i 1.25125 + 0.0466414i
\(58\) −32779.5 −0.168003
\(59\) 93697.5 + 16521.4i 0.456218 + 0.0804435i 0.397034 0.917804i \(-0.370039\pi\)
0.0591830 + 0.998247i \(0.481150\pi\)
\(60\) 209551. 249734.i 0.970145 1.15617i
\(61\) 37171.1 + 13529.2i 0.163763 + 0.0596048i 0.422601 0.906316i \(-0.361117\pi\)
−0.258838 + 0.965921i \(0.583340\pi\)
\(62\) −24642.1 + 8969.01i −0.103396 + 0.0376330i
\(63\) −147403. + 123686.i −0.589502 + 0.494651i
\(64\) 77595.6 + 134400.i 0.296004 + 0.512694i
\(65\) −94720.1 54686.6i −0.344907 0.199132i
\(66\) −46694.6 264819.i −0.162418 0.921121i
\(67\) −414043. + 73006.9i −1.37664 + 0.242739i −0.812511 0.582946i \(-0.801900\pi\)
−0.564131 + 0.825685i \(0.690789\pi\)
\(68\) −34307.9 + 59423.0i −0.109111 + 0.188985i
\(69\) 38098.9 21996.4i 0.115975 0.0669583i
\(70\) 349972. + 417081.i 1.02033 + 1.21598i
\(71\) −146173. 401606.i −0.408405 1.12208i −0.958029 0.286672i \(-0.907451\pi\)
0.549624 0.835412i \(-0.314771\pi\)
\(72\) 71983.6 197773.i 0.192857 0.529871i
\(73\) 4128.91 + 3464.56i 0.0106137 + 0.00890595i 0.648079 0.761573i \(-0.275573\pi\)
−0.637465 + 0.770479i \(0.720017\pi\)
\(74\) 40220.1 228100.i 0.0992541 0.562898i
\(75\) 1.41885e6i 3.36321i
\(76\) 84549.6 + 262314.i 0.192606 + 0.597560i
\(77\) −757612. −1.65949
\(78\) −74053.3 13057.6i −0.156049 0.0275156i
\(79\) 104715. 124795.i 0.212387 0.253113i −0.649324 0.760512i \(-0.724948\pi\)
0.861712 + 0.507398i \(0.169393\pi\)
\(80\) 20329.1 + 7399.18i 0.0397052 + 0.0144515i
\(81\) 621942. 226369.i 1.17029 0.425952i
\(82\) −177376. + 148836.i −0.321701 + 0.269939i
\(83\) 250787. + 434376.i 0.438603 + 0.759682i 0.997582 0.0694996i \(-0.0221402\pi\)
−0.558979 + 0.829182i \(0.688807\pi\)
\(84\) −546872. 315737.i −0.922673 0.532705i
\(85\) −71163.5 403588.i −0.115878 0.657176i
\(86\) −2589.19 + 456.545i −0.00407070 + 0.000717774i
\(87\) −113534. + 196646.i −0.172412 + 0.298626i
\(88\) 717640. 414329.i 1.05307 0.607992i
\(89\) −168525. 200840.i −0.239053 0.284892i 0.633157 0.774023i \(-0.281759\pi\)
−0.872211 + 0.489131i \(0.837314\pi\)
\(90\) 165818. + 455581.i 0.227459 + 0.624940i
\(91\) −72459.4 + 199081.i −0.0961547 + 0.264183i
\(92\) 40054.3 + 33609.6i 0.0514382 + 0.0431618i
\(93\) −31543.9 + 178894.i −0.0392163 + 0.222407i
\(94\) 770970.i 0.928226i
\(95\) −1.39389e6 875565.i −1.62577 1.02122i
\(96\) 1.11499e6 1.26025
\(97\) 734952. + 129592.i 0.805274 + 0.141992i 0.561109 0.827742i \(-0.310375\pi\)
0.244165 + 0.969734i \(0.421486\pi\)
\(98\) 308825. 368043.i 0.328121 0.391039i
\(99\) −633937. 230734.i −0.653342 0.237797i
\(100\) −1.58466e6 + 576769.i −1.58466 + 0.576769i
\(101\) −466017. + 391035.i −0.452312 + 0.379535i −0.840293 0.542133i \(-0.817617\pi\)
0.387981 + 0.921667i \(0.373173\pi\)
\(102\) −140877. 244006.i −0.132751 0.229932i
\(103\) 460909. + 266106.i 0.421797 + 0.243525i 0.695846 0.718191i \(-0.255030\pi\)
−0.274049 + 0.961716i \(0.588363\pi\)
\(104\) −40238.6 228204.i −0.0357719 0.202873i
\(105\) 3.71424e6 654920.i 3.20850 0.565745i
\(106\) 62626.3 108472.i 0.0525823 0.0910751i
\(107\) 1.60265e6 925290.i 1.30824 0.755312i 0.326437 0.945219i \(-0.394152\pi\)
0.981802 + 0.189907i \(0.0608187\pi\)
\(108\) 275107. + 327860.i 0.218389 + 0.260266i
\(109\) −452512. 1.24327e6i −0.349422 0.960029i −0.982553 0.185984i \(-0.940453\pi\)
0.633131 0.774045i \(-0.281770\pi\)
\(110\) −652868. + 1.79374e6i −0.490509 + 1.34766i
\(111\) −1.22908e6 1.03132e6i −0.898692 0.754092i
\(112\) 7276.69 41268.2i 0.00517941 0.0293739i
\(113\) 2.56242e6i 1.77589i 0.459952 + 0.887944i \(0.347867\pi\)
−0.459952 + 0.887944i \(0.652133\pi\)
\(114\) −1.10641e6 237896.i −0.746796 0.160573i
\(115\) −312290. −0.205336
\(116\) −265778. 46863.8i −0.170273 0.0300237i
\(117\) −121262. + 144514.i −0.0757124 + 0.0902305i
\(118\) −436336. 158813.i −0.265568 0.0966587i
\(119\) −745941. + 271501.i −0.442653 + 0.161113i
\(120\) −3.16010e6 + 2.65164e6i −1.82876 + 1.53451i
\(121\) −442300. 766086.i −0.249667 0.432436i
\(122\) −167189. 96526.8i −0.0920723 0.0531580i
\(123\) 278524. + 1.57959e6i 0.149674 + 0.848846i
\(124\) −212623. + 37491.1i −0.111518 + 0.0196636i
\(125\) 3.16108e6 5.47515e6i 1.61847 2.80328i
\(126\) 813284. 469550.i 0.406566 0.234731i
\(127\) 1.73856e6 + 2.07193e6i 0.848745 + 1.01150i 0.999736 + 0.0229602i \(0.00730910\pi\)
−0.150991 + 0.988535i \(0.548246\pi\)
\(128\) 462879. + 1.27175e6i 0.220718 + 0.606418i
\(129\) −6228.98 + 17114.0i −0.00290167 + 0.00797227i
\(130\) 408906. + 343113.i 0.186120 + 0.156174i
\(131\) −241787. + 1.37124e6i −0.107552 + 0.609959i 0.882618 + 0.470091i \(0.155779\pi\)
−0.990170 + 0.139868i \(0.955332\pi\)
\(132\) 2.21392e6i 0.962589i
\(133\) −1.20137e6 + 2.95347e6i −0.510646 + 1.25539i
\(134\) 2.05188e6 0.852782
\(135\) −2.51738e6 443882.i −1.02317 0.180412i
\(136\) 558104. 665123.i 0.221870 0.264414i
\(137\) −1.12380e6 409031.i −0.437047 0.159072i 0.114120 0.993467i \(-0.463595\pi\)
−0.551167 + 0.834395i \(0.685817\pi\)
\(138\) −201756. + 73433.2i −0.0767696 + 0.0279418i
\(139\) 628180. 527105.i 0.233905 0.196270i −0.518300 0.855199i \(-0.673435\pi\)
0.752205 + 0.658929i \(0.228990\pi\)
\(140\) 2.24131e6 + 3.88206e6i 0.816803 + 1.41475i
\(141\) −4.62509e6 2.67030e6i −1.64992 0.952582i
\(142\) 362196. + 2.05412e6i 0.126497 + 0.717397i
\(143\) −731480. + 128980.i −0.250146 + 0.0441075i
\(144\) 18657.2 32315.3i 0.00624828 0.0108223i
\(145\) 1.39592e6 805937.i 0.457886 0.264361i
\(146\) −16908.6 20150.9i −0.00543311 0.00647493i
\(147\) −1.13828e6 3.12739e6i −0.358341 0.984534i
\(148\) 652215. 1.79195e6i 0.201190 0.552764i
\(149\) 1.80580e6 + 1.51525e6i 0.545898 + 0.458063i 0.873549 0.486736i \(-0.161813\pi\)
−0.327651 + 0.944799i \(0.606257\pi\)
\(150\) 1.20245e6 6.81942e6i 0.356281 2.02057i
\(151\) 2.90204e6i 0.842893i 0.906853 + 0.421447i \(0.138477\pi\)
−0.906853 + 0.421447i \(0.861523\pi\)
\(152\) −477237. 3.45465e6i −0.135895 0.983725i
\(153\) −706859. −0.197360
\(154\) 3.64130e6 + 642060.i 0.996999 + 0.175798i
\(155\) 828875. 987815.i 0.222584 0.265265i
\(156\) −581761. 211744.i −0.153240 0.0557746i
\(157\) 5.72215e6 2.08269e6i 1.47863 0.538178i 0.528203 0.849118i \(-0.322866\pi\)
0.950430 + 0.310940i \(0.100644\pi\)
\(158\) −609053. + 511056.i −0.154413 + 0.129568i
\(159\) −433820. 751397.i −0.107924 0.186930i
\(160\) −6.85455e6 3.95748e6i −1.67348 0.966181i
\(161\) 105041. + 595720.i 0.0251700 + 0.142746i
\(162\) −3.18108e6 + 560910.i −0.748220 + 0.131931i
\(163\) −2.40788e6 + 4.17058e6i −0.555997 + 0.963016i 0.441828 + 0.897100i \(0.354330\pi\)
−0.997825 + 0.0659157i \(0.979003\pi\)
\(164\) −1.65096e6 + 953182.i −0.374287 + 0.216095i
\(165\) 8.49950e6 + 1.01293e7i 1.89209 + 2.25490i
\(166\) −837232. 2.30028e6i −0.183030 0.502870i
\(167\) 671236. 1.84420e6i 0.144120 0.395968i −0.846539 0.532327i \(-0.821318\pi\)
0.990659 + 0.136359i \(0.0435401\pi\)
\(168\) 6.12115e6 + 5.13626e6i 1.29094 + 1.08323i
\(169\) 802099. 4.54893e6i 0.166176 0.942430i
\(170\) 2.00007e6i 0.407098i
\(171\) −1.90474e6 + 2.10545e6i −0.380933 + 0.421073i
\(172\) −21646.1 −0.00425396
\(173\) 2.92123e6 + 515091.i 0.564192 + 0.0994823i 0.448468 0.893799i \(-0.351970\pi\)
0.115724 + 0.993281i \(0.463081\pi\)
\(174\) 712329. 848920.i 0.135217 0.161146i
\(175\) −1.83329e7 6.67264e6i −3.42072 1.24504i
\(176\) 138057. 50248.5i 0.0253232 0.00921690i
\(177\) −2.46400e6 + 2.06755e6i −0.444346 + 0.372851i
\(178\) 639773. + 1.10812e6i 0.113440 + 0.196484i
\(179\) 5.56587e6 + 3.21345e6i 0.970451 + 0.560290i 0.899374 0.437181i \(-0.144023\pi\)
0.0710773 + 0.997471i \(0.477356\pi\)
\(180\) 693132. + 3.93095e6i 0.118850 + 0.674030i
\(181\) −8.04191e6 + 1.41801e6i −1.35620 + 0.239135i −0.804026 0.594594i \(-0.797313\pi\)
−0.552174 + 0.833729i \(0.686202\pi\)
\(182\) 516978. 895432.i 0.0857546 0.148531i
\(183\) −1.15814e6 + 668652.i −0.188976 + 0.109106i
\(184\) −425292. 506843.i −0.0682706 0.0813617i
\(185\) 3.89542e6 + 1.07026e7i 0.615232 + 1.69034i
\(186\) 303218. 833085.i 0.0471212 0.129465i
\(187\) −2.13197e6 1.78893e6i −0.326029 0.273571i
\(188\) 1.10223e6 6.25107e6i 0.165882 0.940764i
\(189\) 4.95141e6i 0.733405i
\(190\) 5.95743e6 + 5.38952e6i 0.868556 + 0.785758i
\(191\) −1.59370e6 −0.228721 −0.114361 0.993439i \(-0.536482\pi\)
−0.114361 + 0.993439i \(0.536482\pi\)
\(192\) −5.16690e6 911063.i −0.730005 0.128720i
\(193\) −907427. + 1.08143e6i −0.126223 + 0.150427i −0.825455 0.564468i \(-0.809081\pi\)
0.699231 + 0.714895i \(0.253526\pi\)
\(194\) −3.42257e6 1.24571e6i −0.468756 0.170613i
\(195\) 3.47463e6 1.26466e6i 0.468602 0.170557i
\(196\) 3.03015e6 2.54260e6i 0.402435 0.337683i
\(197\) −6.00132e6 1.03946e7i −0.784961 1.35959i −0.929022 0.370024i \(-0.879349\pi\)
0.144061 0.989569i \(-0.453984\pi\)
\(198\) 2.85135e6 + 1.64623e6i 0.367328 + 0.212077i
\(199\) 507836. + 2.88008e6i 0.0644413 + 0.365465i 0.999927 + 0.0120997i \(0.00385153\pi\)
−0.935486 + 0.353365i \(0.885037\pi\)
\(200\) 2.10148e7 3.70548e6i 2.62686 0.463186i
\(201\) 7.10681e6 1.23094e7i 0.875158 1.51582i
\(202\) 2.57121e6 1.48449e6i 0.311949 0.180104i
\(203\) −2.00692e6 2.39176e6i −0.239907 0.285910i
\(204\) −793390. 2.17982e6i −0.0934536 0.256762i
\(205\) 3.89422e6 1.06993e7i 0.452022 1.24192i
\(206\) −1.98974e6 1.66959e6i −0.227612 0.190989i
\(207\) −93535.1 + 530464.i −0.0105454 + 0.0598060i
\(208\) 41083.5i 0.00456539i
\(209\) −1.10735e7 + 1.52972e6i −1.21295 + 0.167561i
\(210\) −1.84067e7 −1.98755
\(211\) 9.72718e6 + 1.71516e6i 1.03548 + 0.182582i 0.665452 0.746440i \(-0.268239\pi\)
0.370023 + 0.929023i \(0.379350\pi\)
\(212\) 662857. 789962.i 0.0695685 0.0829085i
\(213\) 1.35772e7 + 4.94171e6i 1.40499 + 0.511374i
\(214\) −8.48696e6 + 3.08900e6i −0.865986 + 0.315193i
\(215\) 99036.7 83101.7i 0.00996508 0.00836169i
\(216\) −2.70787e6 4.69017e6i −0.268700 0.465401i
\(217\) −2.16314e6 1.24889e6i −0.211692 0.122221i
\(218\) 1.12126e6 + 6.35899e6i 0.108228 + 0.613789i
\(219\) −179450. + 31641.9i −0.0170849 + 0.00301252i
\(220\) −7.85795e6 + 1.36104e7i −0.737974 + 1.27821i
\(221\) −673990. + 389128.i −0.0624420 + 0.0360509i
\(222\) 5.03329e6 + 5.99844e6i 0.460037 + 0.548251i
\(223\) 2.95366e6 + 8.11511e6i 0.266346 + 0.731778i 0.998706 + 0.0508610i \(0.0161965\pi\)
−0.732360 + 0.680917i \(0.761581\pi\)
\(224\) −5.24363e6 + 1.44068e7i −0.466539 + 1.28181i
\(225\) −1.33080e7 1.11668e7i −1.16833 0.980346i
\(226\) 2.17160e6 1.23158e7i 0.188128 1.06693i
\(227\) 6.25563e6i 0.534803i −0.963585 0.267401i \(-0.913835\pi\)
0.963585 0.267401i \(-0.0861650\pi\)
\(228\) −8.63074e6 3.51068e6i −0.728188 0.296201i
\(229\) 1.74781e7 1.45542 0.727708 0.685887i \(-0.240585\pi\)
0.727708 + 0.685887i \(0.240585\pi\)
\(230\) 1.50096e6 + 264659.i 0.123363 + 0.0217522i
\(231\) 1.64636e7 1.96206e7i 1.33564 1.59175i
\(232\) 3.20906e6 + 1.16800e6i 0.256989 + 0.0935362i
\(233\) −1.63682e7 + 5.95754e6i −1.29400 + 0.470976i −0.895037 0.445992i \(-0.852851\pi\)
−0.398960 + 0.916968i \(0.630629\pi\)
\(234\) 705293. 591811.i 0.0550455 0.0461887i
\(235\) 1.89555e7 + 3.28320e7i 1.46060 + 2.52984i
\(236\) −3.31079e6 1.91149e6i −0.251881 0.145424i
\(237\) 956365. + 5.42381e6i 0.0718420 + 0.407436i
\(238\) 3.81530e6 672741.i 0.283008 0.0499019i
\(239\) 9.32617e6 1.61534e7i 0.683140 1.18323i −0.290878 0.956760i \(-0.593947\pi\)
0.974017 0.226473i \(-0.0727194\pi\)
\(240\) −633393. + 365690.i −0.0458184 + 0.0264533i
\(241\) −1.75202e7 2.08797e7i −1.25166 1.49167i −0.800619 0.599173i \(-0.795496\pi\)
−0.451044 0.892502i \(-0.648948\pi\)
\(242\) 1.47658e6 + 4.05687e6i 0.104186 + 0.286250i
\(243\) −4.99716e6 + 1.37296e7i −0.348261 + 0.956838i
\(244\) −1.21758e6 1.02167e6i −0.0838162 0.0703302i
\(245\) −4.10245e6 + 2.32662e7i −0.278962 + 1.58207i
\(246\) 7.82801e6i 0.525831i
\(247\) −657114. + 3.05612e6i −0.0436064 + 0.202805i
\(248\) 2.73201e6 0.179113
\(249\) −1.66993e7 2.94453e6i −1.08168 0.190730i
\(250\) −1.98332e7 + 2.36362e7i −1.26932 + 1.51272i
\(251\) −364436. 132644.i −0.0230462 0.00838814i 0.330471 0.943816i \(-0.392792\pi\)
−0.353518 + 0.935428i \(0.615015\pi\)
\(252\) 7.26546e6 2.64441e6i 0.454006 0.165245i
\(253\) −1.62462e6 + 1.36322e6i −0.100321 + 0.0841790i
\(254\) −6.60009e6 1.14317e7i −0.402762 0.697604i
\(255\) 1.19985e7 + 6.92737e6i 0.723616 + 0.417780i
\(256\) −2.87167e6 1.62860e7i −0.171165 0.970723i
\(257\) −2.34677e7 + 4.13799e6i −1.38252 + 0.243776i −0.814942 0.579543i \(-0.803231\pi\)
−0.567579 + 0.823319i \(0.692120\pi\)
\(258\) 44442.1 76975.9i 0.00258783 0.00448225i
\(259\) 1.91058e7 1.10307e7i 1.09968 0.634899i
\(260\) 2.82490e6 + 3.36659e6i 0.160725 + 0.191544i
\(261\) −950886. 2.61254e6i −0.0534819 0.146940i
\(262\) 2.32420e6 6.38569e6i 0.129232 0.355062i
\(263\) 1.58894e6 + 1.33328e6i 0.0873455 + 0.0732916i 0.685415 0.728153i \(-0.259621\pi\)
−0.598069 + 0.801444i \(0.704065\pi\)
\(264\) −4.86471e6 + 2.75891e7i −0.264390 + 1.49943i
\(265\) 6.15908e6i 0.330962i
\(266\) 8.27712e6 1.31771e7i 0.439779 0.700124i
\(267\) 8.86355e6 0.465666
\(268\) 1.66368e7 + 2.93352e6i 0.864302 + 0.152400i
\(269\) 4.42372e6 5.27198e6i 0.227264 0.270843i −0.640348 0.768085i \(-0.721210\pi\)
0.867612 + 0.497243i \(0.165654\pi\)
\(270\) 1.17231e7 + 4.26685e6i 0.595594 + 0.216779i
\(271\) 1.78615e7 6.50105e6i 0.897449 0.326645i 0.148219 0.988955i \(-0.452646\pi\)
0.749230 + 0.662310i \(0.230424\pi\)
\(272\) 117923. 98948.9i 0.00585991 0.00491705i
\(273\) −3.58116e6 6.20276e6i −0.176010 0.304857i
\(274\) 5.05468e6 + 2.91832e6i 0.245721 + 0.141867i
\(275\) −1.18775e7 6.73604e7i −0.571118 3.23897i
\(276\) −1.74084e6 + 306956.i −0.0828000 + 0.0145999i
\(277\) −9.60466e6 + 1.66358e7i −0.451900 + 0.782714i −0.998504 0.0546772i \(-0.982587\pi\)
0.546604 + 0.837391i \(0.315920\pi\)
\(278\) −3.46593e6 + 2.00105e6i −0.161319 + 0.0931374i
\(279\) −1.42967e6 1.70381e6i −0.0658298 0.0784529i
\(280\) −1.94003e7 5.33018e7i −0.883758 2.42811i
\(281\) −1.10453e7 + 3.03467e7i −0.497803 + 1.36770i 0.395590 + 0.918427i \(0.370540\pi\)
−0.893393 + 0.449276i \(0.851682\pi\)
\(282\) 1.99665e7 + 1.67539e7i 0.890338 + 0.747082i
\(283\) −295851. + 1.67785e6i −0.0130531 + 0.0740278i −0.990638 0.136512i \(-0.956411\pi\)
0.977585 + 0.210539i \(0.0675220\pi\)
\(284\) 1.71727e7i 0.749694i
\(285\) 5.29659e7 1.70721e7i 2.28803 0.737482i
\(286\) 3.62501e6 0.154957
\(287\) −2.17196e7 3.82976e6i −0.918770 0.162004i
\(288\) −8.77530e6 + 1.04580e7i −0.367354 + 0.437795i
\(289\) 1.99417e7 + 7.25818e6i 0.826168 + 0.300700i
\(290\) −7.39223e6 + 2.69055e6i −0.303097 + 0.110318i
\(291\) −1.93274e7 + 1.62176e7i −0.784320 + 0.658123i
\(292\) −108287. 187558.i −0.00434938 0.00753334i
\(293\) −3.21691e7 1.85729e7i −1.27890 0.738373i −0.302254 0.953228i \(-0.597739\pi\)
−0.976646 + 0.214855i \(0.931072\pi\)
\(294\) 2.82050e6 + 1.59958e7i 0.110990 + 0.629455i
\(295\) 2.24862e7 3.96492e6i 0.875890 0.154443i
\(296\) −1.20652e7 + 2.08975e7i −0.465220 + 0.805784i
\(297\) −1.50338e7 + 8.67974e6i −0.573849 + 0.331312i
\(298\) −7.39508e6 8.81311e6i −0.279443 0.333028i
\(299\) 202836. + 557289.i 0.00758809 + 0.0208481i
\(300\) 1.94990e7 5.35732e7i 0.722187 1.98419i
\(301\) −191835. 160969.i −0.00703442 0.00590258i
\(302\) 2.45942e6 1.39480e7i 0.0892918 0.506399i
\(303\) 2.05664e7i 0.739318i
\(304\) 23031.9 617879.i 0.000819800 0.0219929i
\(305\) 9.49307e6 0.334586
\(306\) 3.39737e6 + 599048.i 0.118571 + 0.0209073i
\(307\) −2.03251e7 + 2.42225e7i −0.702453 + 0.837151i −0.992802 0.119770i \(-0.961784\pi\)
0.290349 + 0.956921i \(0.406229\pi\)
\(308\) 2.86060e7 + 1.04117e7i 0.979050 + 0.356345i
\(309\) −1.69076e7 + 6.15386e6i −0.573068 + 0.208580i
\(310\) −4.82097e6 + 4.04527e6i −0.161826 + 0.135788i
\(311\) −1.32863e6 2.30125e6i −0.0441695 0.0765039i 0.843095 0.537764i \(-0.180731\pi\)
−0.887265 + 0.461260i \(0.847398\pi\)
\(312\) 6.78444e6 + 3.91700e6i 0.223383 + 0.128970i
\(313\) 6.64085e6 + 3.76621e7i 0.216566 + 1.22821i 0.878168 + 0.478352i \(0.158766\pi\)
−0.661602 + 0.749855i \(0.730123\pi\)
\(314\) −2.92674e7 + 5.16063e6i −0.945354 + 0.166691i
\(315\) −2.30893e7 + 3.99918e7i −0.738719 + 1.27950i
\(316\) −5.66888e6 + 3.27293e6i −0.179654 + 0.103723i
\(317\) −2.22023e6 2.64596e6i −0.0696979 0.0830627i 0.730069 0.683374i \(-0.239488\pi\)
−0.799767 + 0.600311i \(0.795044\pi\)
\(318\) 1.44827e6 + 3.97909e6i 0.0450369 + 0.123738i
\(319\) 3.74388e6 1.02862e7i 0.115332 0.316872i
\(320\) 2.85305e7 + 2.39399e7i 0.870681 + 0.730588i
\(321\) −1.08640e7 + 6.16127e7i −0.328453 + 1.86275i
\(322\) 2.95222e6i 0.0884263i
\(323\) −1.03547e7 + 5.47448e6i −0.307276 + 0.162456i
\(324\) −2.65943e7 −0.781905
\(325\) −1.88365e7 3.32139e6i −0.548720 0.0967542i
\(326\) 1.51075e7 1.80044e7i 0.436053 0.519667i
\(327\) 4.20315e7 + 1.52982e7i 1.20208 + 0.437520i
\(328\) 2.26681e7 8.25053e6i 0.642384 0.233809i
\(329\) 5.62538e7 4.72026e7i 1.57966 1.32549i
\(330\) −3.22667e7 5.58876e7i −0.897869 1.55515i
\(331\) 4.59394e7 + 2.65231e7i 1.26678 + 0.731376i 0.974377 0.224920i \(-0.0722120\pi\)
0.292403 + 0.956295i \(0.405545\pi\)
\(332\) −3.49969e6 1.98478e7i −0.0956348 0.542372i
\(333\) 1.93464e7 3.41129e6i 0.523922 0.0923816i
\(334\) −4.78908e6 + 8.29493e6i −0.128532 + 0.222625i
\(335\) −8.73800e7 + 5.04489e7i −2.32422 + 1.34189i
\(336\) 910631. + 1.08525e6i 0.0240063 + 0.0286095i
\(337\) −1.22415e7 3.36332e7i −0.319848 0.878776i −0.990563 0.137060i \(-0.956235\pi\)
0.670714 0.741716i \(-0.265988\pi\)
\(338\) −7.71024e6 + 2.11837e7i −0.199672 + 0.548595i
\(339\) −6.63614e7 5.56839e7i −1.70340 1.42932i
\(340\) −2.85945e6 + 1.62167e7i −0.0727520 + 0.412597i
\(341\) 8.75712e6i 0.220850i
\(342\) 1.09391e7 8.50520e6i 0.273466 0.212621i
\(343\) −8.92796e6 −0.221243
\(344\) 269746. + 47563.4i 0.00662642 + 0.00116842i
\(345\) 6.78636e6 8.08767e6i 0.165265 0.196955i
\(346\) −1.36037e7 4.95136e6i −0.328420 0.119535i
\(347\) 5.28703e7 1.92432e7i 1.26539 0.460563i 0.379814 0.925063i \(-0.375988\pi\)
0.885573 + 0.464500i \(0.153766\pi\)
\(348\) 6.98928e6 5.86470e6i 0.165842 0.139158i
\(349\) 2.57758e7 + 4.46450e7i 0.606367 + 1.05026i 0.991834 + 0.127537i \(0.0407073\pi\)
−0.385466 + 0.922722i \(0.625959\pi\)
\(350\) 8.24584e7 + 4.76074e7i 1.92323 + 1.11038i
\(351\) 842953. + 4.78062e6i 0.0194931 + 0.110551i
\(352\) −5.29346e7 + 9.33380e6i −1.21370 + 0.214008i
\(353\) 2.24798e7 3.89362e7i 0.511057 0.885176i −0.488861 0.872362i \(-0.662588\pi\)
0.999918 0.0128145i \(-0.00407910\pi\)
\(354\) 1.35949e7 7.84903e6i 0.306455 0.176932i
\(355\) −6.59280e7 7.85699e7i −1.47362 1.75619i
\(356\) 3.60307e6 + 9.89936e6i 0.0798588 + 0.219410i
\(357\) 9.17871e6 2.52183e7i 0.201733 0.554257i
\(358\) −2.40278e7 2.01618e7i −0.523680 0.439419i
\(359\) 5.98760e6 3.39573e7i 0.129410 0.733923i −0.849180 0.528104i \(-0.822903\pi\)
0.978590 0.205819i \(-0.0659858\pi\)
\(360\) 5.05091e7i 1.08259i
\(361\) −1.15960e7 + 4.55944e7i −0.246483 + 0.969147i
\(362\) 3.98535e7 0.840119
\(363\) 2.94516e7 + 5.19312e6i 0.615729 + 0.108570i
\(364\) 5.47186e6 6.52111e6i 0.113457 0.135213i
\(365\) 1.21550e6 + 442405.i 0.0249963 + 0.00909792i
\(366\) 6.13302e6 2.23224e6i 0.125093 0.0455300i
\(367\) 4.37404e7 3.67026e7i 0.884881 0.742503i −0.0822957 0.996608i \(-0.526225\pi\)
0.967177 + 0.254105i \(0.0817808\pi\)
\(368\) −58652.3 101589.i −0.00117691 0.00203846i
\(369\) −1.70077e7 9.81940e6i −0.338506 0.195437i
\(370\) −9.65231e6 5.47410e7i −0.190558 1.08071i
\(371\) 1.17490e7 2.07166e6i 0.230079 0.0405692i
\(372\) 3.64955e6 6.32121e6i 0.0708942 0.122792i
\(373\) 4.13947e7 2.38992e7i 0.797661 0.460530i −0.0449919 0.998987i \(-0.514326\pi\)
0.842652 + 0.538458i \(0.180993\pi\)
\(374\) 8.73077e6 + 1.04049e7i 0.166893 + 0.198895i
\(375\) 7.31018e7 + 2.00846e8i 1.38623 + 3.80863i
\(376\) −2.74713e7 + 7.54767e7i −0.516791 + 1.41987i
\(377\) −2.34488e6 1.96759e6i −0.0437620 0.0367206i
\(378\) 4.19622e6 2.37979e7i 0.0776931 0.440620i
\(379\) 7.93716e7i 1.45797i −0.684532 0.728983i \(-0.739993\pi\)
0.684532 0.728983i \(-0.260007\pi\)
\(380\) 4.05980e7 + 5.22157e7i 0.739867 + 0.951591i
\(381\) −9.14391e7 −1.65332
\(382\) 7.65979e6 + 1.35063e6i 0.137413 + 0.0242296i
\(383\) −3.12434e7 + 3.72344e7i −0.556111 + 0.662748i −0.968719 0.248161i \(-0.920174\pi\)
0.412607 + 0.910909i \(0.364618\pi\)
\(384\) −4.29945e7 1.56487e7i −0.759310 0.276366i
\(385\) −1.70852e8 + 6.21851e7i −2.99391 + 1.08969i
\(386\) 5.27784e6 4.42864e6i 0.0917687 0.0770031i
\(387\) −111496. 193116.i −0.00192365 0.00333185i
\(388\) −2.59694e7 1.49935e7i −0.444598 0.256689i
\(389\) 1.63687e7 + 9.28313e7i 0.278077 + 1.57705i 0.729016 + 0.684496i \(0.239978\pi\)
−0.450940 + 0.892554i \(0.648911\pi\)
\(390\) −1.77718e7 + 3.13366e6i −0.299598 + 0.0528272i
\(391\) −1.11107e6 + 1.92442e6i −0.0185870 + 0.0321937i
\(392\) −4.33476e7 + 2.50267e7i −0.719626 + 0.415476i
\(393\) −3.02581e7 3.60602e7i −0.498499 0.594088i
\(394\) 2.00349e7 + 5.50455e7i 0.327566 + 0.899980i
\(395\) 1.33715e7 3.67380e7i 0.216965 0.596108i
\(396\) 2.07653e7 + 1.74242e7i 0.334390 + 0.280587i
\(397\) 4.49545e6 2.54950e7i 0.0718459 0.407458i −0.927581 0.373621i \(-0.878116\pi\)
0.999427 0.0338373i \(-0.0107728\pi\)
\(398\) 1.42729e7i 0.226393i
\(399\) −5.03819e7 9.52945e7i −0.793150 1.50020i
\(400\) 3.78330e6 0.0591140
\(401\) 3.94647e7 + 6.95868e6i 0.612034 + 0.107918i 0.471069 0.882097i \(-0.343868\pi\)
0.140965 + 0.990015i \(0.454980\pi\)
\(402\) −4.45893e7 + 5.31395e7i −0.686361 + 0.817974i
\(403\) −2.30114e6 837547.i −0.0351583 0.0127966i
\(404\) 2.29699e7 8.36035e6i 0.348349 0.126789i
\(405\) 1.21676e8 1.02099e8i 1.83164 1.53693i
\(406\) 7.61889e6 + 1.31963e7i 0.113845 + 0.197185i
\(407\) 6.69842e7 + 3.86734e7i 0.993549 + 0.573626i
\(408\) 5.09717e6 + 2.89075e7i 0.0750497 + 0.425628i
\(409\) 4.19905e7 7.40406e6i 0.613735 0.108218i 0.141865 0.989886i \(-0.454690\pi\)
0.471870 + 0.881668i \(0.343579\pi\)
\(410\) −2.77842e7 + 4.81237e7i −0.403131 + 0.698244i
\(411\) 3.50144e7 2.02155e7i 0.504337 0.291179i
\(412\) −1.37460e7 1.63819e7i −0.196555 0.234246i
\(413\) −1.51268e7 4.15606e7i −0.214732 0.589972i
\(414\) 899114. 2.47029e6i 0.0126711 0.0348135i
\(415\) 9.22098e7 + 7.73732e7i 1.29013 + 1.08255i
\(416\) −2.61009e6 + 1.48025e7i −0.0362556 + 0.205616i
\(417\) 2.77230e7i 0.382325i
\(418\) 5.45187e7 + 2.03222e6i 0.746477 + 0.0278254i
\(419\) 2.15719e7 0.293256 0.146628 0.989192i \(-0.453158\pi\)
0.146628 + 0.989192i \(0.453158\pi\)
\(420\) −1.49243e8 2.63156e7i −2.01440 0.355194i
\(421\) −3.16086e7 + 3.76697e7i −0.423603 + 0.504831i −0.935065 0.354475i \(-0.884660\pi\)
0.511462 + 0.859306i \(0.329104\pi\)
\(422\) −4.52981e7 1.64872e7i −0.602758 0.219386i
\(423\) 6.14466e7 2.23647e7i 0.811852 0.295490i
\(424\) −9.99610e6 + 8.38773e6i −0.131139 + 0.110039i
\(425\) −3.58340e7 6.20664e7i −0.466798 0.808518i
\(426\) −6.10682e7 3.52577e7i −0.789926 0.456064i
\(427\) −3.19307e6 1.81088e7i −0.0410134 0.232598i
\(428\) −7.32291e7 + 1.29123e7i −0.934011 + 0.164691i
\(429\) 1.25554e7 2.17467e7i 0.159023 0.275436i
\(430\) −546426. + 315479.i −0.00687268 + 0.00396794i
\(431\) −9.58884e6 1.14275e7i −0.119766 0.142732i 0.702830 0.711358i \(-0.251920\pi\)
−0.822596 + 0.568626i \(0.807475\pi\)
\(432\) −328402. 902276.i −0.00407337 0.0111915i
\(433\) 3.32766e7 9.14267e7i 0.409897 1.12618i −0.547348 0.836905i \(-0.684362\pi\)
0.957245 0.289278i \(-0.0934153\pi\)
\(434\) 9.33827e6 + 7.83574e6i 0.114234 + 0.0958541i
\(435\) −9.46264e6 + 5.36653e7i −0.114959 + 0.651967i
\(436\) 5.31622e7i 0.641421i
\(437\) 2.73815e6 + 8.49510e6i 0.0328106 + 0.101794i
\(438\) 889305. 0.0105835
\(439\) 7.16489e7 + 1.26336e7i 0.846868 + 0.149326i 0.580212 0.814466i \(-0.302970\pi\)
0.266657 + 0.963792i \(0.414081\pi\)
\(440\) 1.27829e8 1.52341e8i 1.50063 1.78838i
\(441\) 3.82917e7 + 1.39370e7i 0.446467 + 0.162501i
\(442\) 3.56917e6 1.29907e6i 0.0413334 0.0150441i
\(443\) −7.42825e7 + 6.23304e7i −0.854428 + 0.716950i −0.960760 0.277380i \(-0.910534\pi\)
0.106332 + 0.994331i \(0.466089\pi\)
\(444\) 3.22344e7 + 5.58317e7i 0.368274 + 0.637869i
\(445\) −5.44898e7 3.14597e7i −0.618351 0.357005i
\(446\) −7.31876e6 4.15067e7i −0.0824960 0.467858i
\(447\) −7.84836e7 + 1.38388e7i −0.878732 + 0.154944i
\(448\) 3.60709e7 6.24766e7i 0.401165 0.694838i
\(449\) −2.43188e7 + 1.40405e7i −0.268660 + 0.155111i −0.628279 0.777988i \(-0.716240\pi\)
0.359618 + 0.933099i \(0.382907\pi\)
\(450\) 5.44987e7 + 6.49490e7i 0.598065 + 0.712746i
\(451\) −2.64460e7 7.26599e7i −0.288291 0.792073i
\(452\) 3.52149e7 9.67523e7i 0.381339 1.04772i
\(453\) −7.51568e7 6.30640e7i −0.808488 0.678402i
\(454\) −5.30152e6 + 3.00664e7i −0.0566543 + 0.321302i
\(455\) 5.08430e7i 0.539755i
\(456\) 9.98392e7 + 6.27134e7i 1.05295 + 0.661403i
\(457\) 1.41535e8 1.48291 0.741455 0.671003i \(-0.234136\pi\)
0.741455 + 0.671003i \(0.234136\pi\)
\(458\) −8.40048e7 1.48123e7i −0.874395 0.154179i
\(459\) −1.16917e7 + 1.39336e7i −0.120903 + 0.144087i
\(460\) 1.17915e7 + 4.29175e6i 0.121142 + 0.0440921i
\(461\) 9.21191e7 3.35286e7i 0.940258 0.342226i 0.173990 0.984747i \(-0.444334\pi\)
0.766268 + 0.642521i \(0.222112\pi\)
\(462\) −9.57570e7 + 8.03496e7i −0.971056 + 0.814813i
\(463\) −7.67100e7 1.32866e8i −0.772875 1.33866i −0.935981 0.352050i \(-0.885485\pi\)
0.163107 0.986608i \(-0.447849\pi\)
\(464\) 524346. + 302731.i 0.00524885 + 0.00303043i
\(465\) 7.57012e6 + 4.29323e7i 0.0752912 + 0.426998i
\(466\) 8.37192e7 1.47620e7i 0.827308 0.145877i
\(467\) −2.61864e7 + 4.53562e7i −0.257114 + 0.445335i −0.965468 0.260523i \(-0.916105\pi\)
0.708354 + 0.705858i \(0.249438\pi\)
\(468\) 6.56466e6 3.79011e6i 0.0640434 0.0369755i
\(469\) 1.25626e8 + 1.49716e8i 1.21776 + 1.45127i
\(470\) −6.32815e7 1.73864e8i −0.609513 1.67462i
\(471\) −7.04103e7 + 1.93451e8i −0.673866 + 1.85143i
\(472\) 3.70578e7 + 3.10951e7i 0.352414 + 0.295710i
\(473\) 152459. 864636.i 0.00144068 0.00817052i
\(474\) 2.68789e7i 0.252393i
\(475\) −2.81432e8 6.05123e7i −2.62598 0.564628i
\(476\) 3.18965e7 0.295748
\(477\) 1.04620e7 + 1.84473e6i 0.0963957 + 0.0169972i
\(478\) −5.85140e7 + 6.97342e7i −0.535767 + 0.638502i
\(479\) −1.12365e8 4.08975e7i −1.02241 0.372126i −0.224222 0.974538i \(-0.571984\pi\)
−0.798185 + 0.602412i \(0.794206\pi\)
\(480\) 2.51446e8 9.15190e7i 2.27364 0.827537i
\(481\) 1.65688e7 1.39029e7i 0.148887 0.124931i
\(482\) 6.65120e7 + 1.15202e8i 0.593962 + 1.02877i
\(483\) −1.77105e7 1.02252e7i −0.157178 0.0907465i
\(484\) 6.17222e6 + 3.50044e7i 0.0544384 + 0.308736i
\(485\) 1.76379e8 3.11004e7i 1.54604 0.272609i
\(486\) 3.56533e7 6.17534e7i 0.310593 0.537962i
\(487\) −1.61918e8 + 9.34834e7i −1.40187 + 0.809371i −0.994585 0.103930i \(-0.966858\pi\)
−0.407287 + 0.913300i \(0.633525\pi\)
\(488\) 1.29281e7 + 1.54071e7i 0.111244 + 0.132575i
\(489\) −5.56837e7 1.52990e8i −0.476213 1.30839i
\(490\) 3.94352e7 1.08347e8i 0.335193 0.920937i
\(491\) 1.42496e8 + 1.19568e8i 1.20381 + 1.01012i 0.999513 + 0.0312060i \(0.00993480\pi\)
0.204296 + 0.978909i \(0.434510\pi\)
\(492\) 1.11915e7 6.34700e7i 0.0939706 0.532934i
\(493\) 1.14695e7i 0.0957198i
\(494\) 5.74828e6 1.41317e7i 0.0476823 0.117223i
\(495\) −1.61901e8 −1.33485
\(496\) 477012. + 84110.2i 0.00390917 + 0.000689292i
\(497\) −1.27703e8 + 1.52191e8i −1.04024 + 1.23971i
\(498\) 7.77662e7 + 2.83046e7i 0.629655 + 0.229176i
\(499\) −1.83133e8 + 6.66550e7i −1.47389 + 0.536452i −0.949154 0.314812i \(-0.898058\pi\)
−0.524737 + 0.851265i \(0.675836\pi\)
\(500\) −1.94600e8 + 1.63289e8i −1.55680 + 1.30631i
\(501\) 3.31745e7 + 5.74599e7i 0.263810 + 0.456932i
\(502\) 1.63917e6 + 946377.i 0.0129573 + 0.00748088i
\(503\) −1.72836e7 9.80202e7i −0.135810 0.770214i −0.974293 0.225286i \(-0.927668\pi\)
0.838483 0.544928i \(-0.183443\pi\)
\(504\) −9.63503e7 + 1.69892e7i −0.752595 + 0.132703i
\(505\) −7.29972e7 + 1.26435e8i −0.566803 + 0.981731i
\(506\) 8.96370e6 5.17519e6i 0.0691888 0.0399462i
\(507\) 1.00377e8 + 1.19625e8i 0.770216 + 0.917907i
\(508\) −3.71704e7 1.02125e8i −0.283535 0.779005i
\(509\) −2.76932e7 + 7.60863e7i −0.210000 + 0.576970i −0.999315 0.0370189i \(-0.988214\pi\)
0.789315 + 0.613989i \(0.210436\pi\)
\(510\) −5.17977e7 4.34635e7i −0.390481 0.327653i
\(511\) 435082. 2.46747e6i 0.00326068 0.0184922i
\(512\) 5.90648e6i 0.0440067i
\(513\) 9.99759e6 + 7.23711e7i 0.0740531 + 0.536060i
\(514\) 1.16300e8 0.856424
\(515\) 1.25784e8 + 2.21790e7i 0.920878 + 0.162376i
\(516\) 470389. 560588.i 0.00342380 0.00408032i
\(517\) 2.41931e8 + 8.80557e7i 1.75073 + 0.637215i
\(518\) −1.01176e8 + 3.68252e7i −0.727930 + 0.264945i
\(519\) −7.68208e7 + 6.44603e7i −0.549511 + 0.461095i
\(520\) −2.78054e7 4.81605e7i −0.197752 0.342516i
\(521\) −1.96718e8 1.13575e8i −1.39102 0.803103i −0.397587 0.917564i \(-0.630152\pi\)
−0.993428 + 0.114461i \(0.963486\pi\)
\(522\) 2.35616e6 + 1.33625e7i 0.0165651 + 0.0939454i
\(523\) 1.98066e8 3.49243e7i 1.38454 0.244131i 0.568762 0.822502i \(-0.307423\pi\)
0.815774 + 0.578371i \(0.196312\pi\)
\(524\) 2.79742e7 4.84527e7i 0.194430 0.336763i
\(525\) 5.71199e8 3.29782e8i 3.94738 2.27902i
\(526\) −6.50699e6 7.75473e6i −0.0447119 0.0532855i
\(527\) −3.13823e6 8.62222e6i −0.0214414 0.0589098i
\(528\) −1.69877e6 + 4.66733e6i −0.0115407 + 0.0317078i
\(529\) −1.12105e8 9.40672e7i −0.757282 0.635435i
\(530\) 5.21969e6 2.96023e7i 0.0350604 0.198838i
\(531\) 3.93831e7i 0.263043i
\(532\) 8.59503e7 9.50072e7i 0.570837 0.630989i
\(533\) −2.16225e7 −0.142798
\(534\) −4.26008e7 7.51168e6i −0.279766 0.0493302i
\(535\) 2.85472e8 3.40212e8i 1.86424 2.22171i
\(536\) −2.00876e8 7.31129e7i −1.30447 0.474788i
\(537\) −2.04173e8 + 7.43130e7i −1.31849 + 0.479890i
\(538\) −2.57296e7 + 2.15897e7i −0.165229 + 0.138643i
\(539\) 8.02200e7 + 1.38945e8i 0.512291 + 0.887314i
\(540\) 8.89513e7 + 5.13561e7i 0.564899 + 0.326145i
\(541\) 3.54575e6 + 2.01089e7i 0.0223932 + 0.126998i 0.993955 0.109788i \(-0.0350171\pi\)
−0.971562 + 0.236786i \(0.923906\pi\)
\(542\) −9.13571e7 + 1.61087e7i −0.573778 + 0.101173i
\(543\) 1.38035e8 2.39083e8i 0.862163 1.49331i
\(544\) −4.87743e7 + 2.81598e7i −0.302966 + 0.174918i
\(545\) −2.04096e8 2.43232e8i −1.26079 1.50256i
\(546\) 1.19554e7 + 3.28472e7i 0.0734491 + 0.201800i
\(547\) −8.17421e7 + 2.24584e8i −0.499440 + 1.37220i 0.392377 + 0.919805i \(0.371653\pi\)
−0.891817 + 0.452396i \(0.850569\pi\)
\(548\) 3.68114e7 + 3.08885e7i 0.223687 + 0.187696i
\(549\) 2.84330e6 1.61252e7i 0.0171833 0.0974511i
\(550\) 3.33820e8i 2.00643i
\(551\) −3.41630e7 3.09063e7i −0.204221 0.184753i
\(552\) 2.23682e7 0.132988
\(553\) −7.45784e7 1.31502e7i −0.440999 0.0777601i
\(554\) 6.02612e7 7.18165e7i 0.354412 0.422372i
\(555\) −3.61826e8 1.31694e8i −2.11651 0.770347i
\(556\) −3.09628e7 + 1.12695e7i −0.180142 + 0.0655664i
\(557\) 4.98120e7 4.17972e7i 0.288249 0.241870i −0.487184 0.873299i \(-0.661976\pi\)
0.775433 + 0.631430i \(0.217532\pi\)
\(558\) 5.42745e6 + 9.40063e6i 0.0312387 + 0.0541071i
\(559\) −212622. 122758.i −0.00121723 0.000702769i
\(560\) −1.74631e6 9.90382e6i −0.00994392 0.0563948i
\(561\) 9.26593e7 1.63383e7i 0.524808 0.0925378i
\(562\) 7.88050e7 1.36494e8i 0.443961 0.768963i
\(563\) 1.56608e8 9.04177e7i 0.877584 0.506674i 0.00772312 0.999970i \(-0.497542\pi\)
0.869861 + 0.493297i \(0.164208\pi\)
\(564\) 1.37937e8 + 1.64387e8i 0.768854 + 0.916285i
\(565\) 2.10325e8 + 5.77862e8i 1.16612 + 3.20390i
\(566\) 2.84389e6 7.81353e6i 0.0156843 0.0430921i
\(567\) −2.35688e8 1.97766e8i −1.29297 1.08493i
\(568\) 3.77341e7 2.14001e8i 0.205915 1.16780i
\(569\) 3.38287e8i 1.83632i 0.396208 + 0.918161i \(0.370326\pi\)
−0.396208 + 0.918161i \(0.629674\pi\)
\(570\) −2.69038e8 + 3.71658e7i −1.45274 + 0.200687i
\(571\) −5.94377e7 −0.319267 −0.159633 0.987176i \(-0.551031\pi\)
−0.159633 + 0.987176i \(0.551031\pi\)
\(572\) 2.93918e7 + 5.18257e6i 0.157050 + 0.0276922i
\(573\) 3.46326e7 4.12736e7i 0.184086 0.219386i
\(574\) 1.01145e8 + 3.68139e7i 0.534823 + 0.194660i
\(575\) −5.13195e7 + 1.86788e7i −0.269947 + 0.0982529i
\(576\) 4.92101e7 4.12922e7i 0.257506 0.216073i
\(577\) −2.08271e7 3.60737e7i −0.108418 0.187786i 0.806711 0.590946i \(-0.201245\pi\)
−0.915130 + 0.403160i \(0.867912\pi\)
\(578\) −8.96944e7 5.17851e7i −0.464496 0.268177i
\(579\) −8.28753e6 4.70009e7i −0.0426962 0.242142i
\(580\) −6.37833e7 + 1.12467e7i −0.326906 + 0.0576423i
\(581\) 1.16580e8 2.01923e8i 0.594424 1.02957i
\(582\) 1.06637e8 6.15669e7i 0.540927 0.312304i
\(583\) 2.68858e7 + 3.20412e7i 0.135680 + 0.161698i
\(584\) 937306. + 2.57523e6i 0.00470590 + 0.0129294i
\(585\) −1.54845e7 + 4.25432e7i −0.0773444 + 0.212502i
\(586\) 1.38874e8 + 1.16529e8i 0.690126 + 0.579085i
\(587\) −1.79255e7 + 1.01661e8i −0.0886251 + 0.502618i 0.907890 + 0.419208i \(0.137692\pi\)
−0.996515 + 0.0834100i \(0.973419\pi\)
\(588\) 1.33728e8i 0.657793i
\(589\) −3.41387e7 1.38864e7i −0.167071 0.0679585i
\(590\) −1.11435e8 −0.542584
\(591\) 3.99613e8 + 7.04625e7i 1.93587 + 0.341347i
\(592\) −2.74996e6 + 3.27728e6i −0.0132544 + 0.0157960i
\(593\) −9.56750e7 3.48228e7i −0.458812 0.166994i 0.102266 0.994757i \(-0.467391\pi\)
−0.561077 + 0.827763i \(0.689613\pi\)
\(594\) 7.96125e7 2.89766e7i 0.379859 0.138257i
\(595\) −1.45935e8 + 1.22454e8i −0.692803 + 0.581331i
\(596\) −4.73599e7 8.20298e7i −0.223703 0.387465i
\(597\) −8.56239e7 4.94350e7i −0.402413 0.232333i
\(598\) −502601. 2.85039e6i −0.00235028 0.0133291i
\(599\) 5.79890e7 1.02250e7i 0.269814 0.0475756i −0.0371039 0.999311i \(-0.511813\pi\)
0.306918 + 0.951736i \(0.400702\pi\)
\(600\) −3.60708e8 + 6.24765e8i −1.66994 + 2.89243i
\(601\) −3.36881e8 + 1.94498e8i −1.55186 + 0.895967i −0.553869 + 0.832604i \(0.686849\pi\)
−0.997991 + 0.0633629i \(0.979817\pi\)
\(602\) 785598. + 936239.i 0.00360090 + 0.00429138i
\(603\) 5.95222e7 + 1.63536e8i 0.271473 + 0.745867i
\(604\) 3.98822e7 1.09576e8i 0.180996 0.497282i
\(605\) −1.62625e8 1.36459e8i −0.734383 0.616220i
\(606\) −1.74296e7 + 9.88483e7i −0.0783196 + 0.444172i
\(607\) 2.74255e8i 1.22627i −0.789976 0.613137i \(-0.789907\pi\)
0.789976 0.613137i \(-0.210093\pi\)
\(608\) −4.75530e7 + 2.21161e8i −0.211577 + 0.984004i
\(609\) 1.05554e8 0.467328
\(610\) −4.56265e7 8.04518e6i −0.201015 0.0354443i
\(611\) 4.62775e7 5.51513e7i 0.202883 0.241787i
\(612\) 2.66897e7 + 9.71424e6i 0.116436 + 0.0423794i
\(613\) −1.03921e8 + 3.78240e7i −0.451149 + 0.164205i −0.557594 0.830114i \(-0.688275\pi\)
0.106445 + 0.994319i \(0.466053\pi\)
\(614\) 1.18216e8 9.91953e7i 0.510708 0.428535i
\(615\) 1.92464e8 + 3.33358e8i 0.827418 + 1.43313i
\(616\) −3.33600e8 1.92604e8i −1.42720 0.823992i
\(617\) 2.79603e6 + 1.58571e7i 0.0119038 + 0.0675099i 0.990181 0.139791i \(-0.0446431\pi\)
−0.978277 + 0.207301i \(0.933532\pi\)
\(618\) 8.64780e7 1.52484e7i 0.366387 0.0646040i
\(619\) 1.62916e8 2.82180e8i 0.686899 1.18974i −0.285936 0.958249i \(-0.592305\pi\)
0.972836 0.231496i \(-0.0743620\pi\)
\(620\) −4.48721e7 + 2.59069e7i −0.188279 + 0.108703i
\(621\) 8.90939e6 + 1.06178e7i 0.0372026 + 0.0443363i
\(622\) 4.43552e6 + 1.21865e7i 0.0184320 + 0.0506416i
\(623\) −4.16839e7 + 1.14526e8i −0.172387 + 0.473629i
\(624\) 1.06398e6 + 892784.i 0.00437904 + 0.00367445i
\(625\) 1.49594e8 8.48387e8i 0.612735 3.47499i
\(626\) 1.86643e8i 0.760832i
\(627\) 2.01020e8 3.20022e8i 0.815523 1.29831i
\(628\) −2.44680e8 −0.987913
\(629\) 7.98115e7 + 1.40729e7i 0.320711 + 0.0565500i
\(630\) 1.44866e8 1.72645e8i 0.579356 0.690449i
\(631\) −1.41774e8 5.16015e7i −0.564298 0.205388i 0.0440896 0.999028i \(-0.485961\pi\)
−0.608388 + 0.793640i \(0.708184\pi\)
\(632\) 7.78353e7 2.83297e7i 0.308337 0.112225i
\(633\) −2.55800e8 + 2.14642e8i −1.00853 + 0.846258i
\(634\) 8.42866e6 + 1.45989e7i 0.0330743 + 0.0572864i
\(635\) 5.62133e8 + 3.24548e8i 2.19542 + 1.26753i
\(636\) 6.05388e6 + 3.43333e7i 0.0235322 + 0.133458i
\(637\) 4.41836e7 7.79075e6i 0.170940 0.0301412i
\(638\) −2.67116e7 + 4.62658e7i −0.102858 + 0.178155i
\(639\) −1.53207e8 + 8.84541e7i −0.587187 + 0.339012i
\(640\) 2.08772e8 + 2.48804e8i 0.796400 + 0.949113i
\(641\) −6.81689e7 1.87292e8i −0.258828 0.711125i −0.999240 0.0389718i \(-0.987592\pi\)
0.740412 0.672153i \(-0.234630\pi\)
\(642\) 1.04431e8 2.86922e8i 0.394661 1.08432i
\(643\) 1.98958e7 + 1.66945e7i 0.0748390 + 0.0627974i 0.679440 0.733731i \(-0.262223\pi\)
−0.604601 + 0.796529i \(0.706667\pi\)
\(644\) 4.22070e6 2.39368e7i 0.0158026 0.0896208i
\(645\) 4.37072e6i 0.0162882i
\(646\) 5.44071e7 1.75366e7i 0.201817 0.0650500i
\(647\) −6.47574e7 −0.239098 −0.119549 0.992828i \(-0.538145\pi\)
−0.119549 + 0.992828i \(0.538145\pi\)
\(648\) 3.31409e8 + 5.84364e7i 1.21798 + 0.214762i
\(649\) 9.96716e7 1.18784e8i 0.364617 0.434534i
\(650\) 8.77191e7 + 3.19271e7i 0.319414 + 0.116257i
\(651\) 7.93506e7 2.88813e7i 0.287612 0.104682i
\(652\) 1.48233e8 1.24382e8i 0.534812 0.448760i
\(653\) −1.45435e8 2.51901e8i −0.522311 0.904669i −0.999663 0.0259566i \(-0.991737\pi\)
0.477352 0.878712i \(-0.341597\pi\)
\(654\) −1.89051e8 1.09149e8i −0.675842 0.390198i
\(655\) 5.80258e7 + 3.29081e8i 0.206489 + 1.17106i
\(656\) 4.21189e6 742670.i 0.0149199 0.00263078i
\(657\) 1.11554e6 1.93217e6i 0.00393358 0.00681317i
\(658\) −3.10375e8 + 1.79195e8i −1.08946 + 0.628998i
\(659\) 3.98006e7 + 4.74325e7i 0.139070 + 0.165737i 0.831084 0.556147i \(-0.187721\pi\)
−0.692014 + 0.721884i \(0.743276\pi\)
\(660\) −1.81720e8 4.99271e8i −0.632077 1.73662i
\(661\) −6.77420e7 + 1.86120e8i −0.234560 + 0.644448i 0.765440 + 0.643507i \(0.222521\pi\)
−1.00000 0.000940097i \(0.999701\pi\)
\(662\) −1.98320e8 1.66410e8i −0.683586 0.573597i
\(663\) 4.56882e6 2.59111e7i 0.0156770 0.0889088i
\(664\) 2.55026e8i 0.871124i
\(665\) −2.85031e7 + 7.64657e8i −0.0969230 + 2.60017i
\(666\) −9.58753e7 −0.324552
\(667\) −8.60727e6 1.51769e6i −0.0290060 0.00511454i
\(668\) −5.06892e7 + 6.04090e7i −0.170054 + 0.202662i
\(669\) −2.74350e8 9.98553e7i −0.916277 0.333498i
\(670\) 4.62728e8 1.68419e8i 1.53851 0.559974i
\(671\) 4.93856e7 4.14394e7i 0.163468 0.137166i
\(672\) −2.59156e8 4.48872e8i −0.853992 1.47916i
\(673\) 1.91069e8 + 1.10314e8i 0.626822 + 0.361896i 0.779520 0.626377i \(-0.215463\pi\)
−0.152698 + 0.988273i \(0.548796\pi\)
\(674\) 3.03327e7 + 1.72025e8i 0.0990675 + 0.561840i
\(675\) −4.40238e8 + 7.76258e7i −1.43145 + 0.252403i
\(676\) −9.28009e7 + 1.60736e8i −0.300408 + 0.520323i
\(677\) 4.73057e8 2.73119e8i 1.52457 0.880210i 0.524993 0.851107i \(-0.324068\pi\)
0.999576 0.0291034i \(-0.00926522\pi\)
\(678\) 2.71762e8 + 3.23873e8i 0.871965 + 1.03917i
\(679\) −1.18653e8 3.25996e8i −0.379026 1.04137i
\(680\) 7.12668e7 1.95804e8i 0.226653 0.622723i
\(681\) 1.62008e8 + 1.35941e8i 0.512974 + 0.430436i
\(682\) −7.42147e6 + 4.20893e7i −0.0233958 + 0.132684i
\(683\) 1.03373e8i 0.324449i 0.986754 + 0.162224i \(0.0518668\pi\)
−0.986754 + 0.162224i \(0.948133\pi\)
\(684\) 1.00854e8 5.33214e7i 0.315157 0.166622i
\(685\) −2.87007e8 −0.892936
\(686\) 4.29104e7 + 7.56625e6i 0.132920 + 0.0234374i
\(687\) −3.79815e8 + 4.52646e8i −1.17139 + 1.39601i
\(688\) 45633.6 + 16609.3i 0.000140126 + 5.10017e-5i
\(689\) 1.09910e7 4.00040e6i 0.0336031 0.0122305i
\(690\) −3.94714e7 + 3.31204e7i −0.120153 + 0.100820i
\(691\) −6.96582e7 1.20652e8i −0.211124 0.365678i 0.740942 0.671569i \(-0.234379\pi\)
−0.952067 + 0.305891i \(0.901046\pi\)
\(692\) −1.03221e8 5.95948e7i −0.311495 0.179841i
\(693\) 5.44566e7 + 3.08839e8i 0.163625 + 0.927966i
\(694\) −2.70418e8 + 4.76821e7i −0.809017 + 0.142652i
\(695\) 9.83983e7 1.70431e8i 0.293112 0.507684i
\(696\) −9.99847e7 + 5.77262e7i −0.296555 + 0.171216i
\(697\) −5.20773e7 6.20633e7i −0.153798 0.183289i
\(698\) −8.60503e7 2.36421e8i −0.253038 0.695217i
\(699\) 2.01408e8 5.53365e8i 0.589720 1.62024i
\(700\) 6.00515e8 + 5.03892e8i 1.75077 + 1.46907i
\(701\) −6.49276e7 + 3.68222e8i −0.188484 + 1.06895i 0.732912 + 0.680323i \(0.238161\pi\)
−0.921396 + 0.388624i \(0.872951\pi\)
\(702\) 2.36915e7i 0.0684826i
\(703\) 2.56983e8 1.99805e8i 0.739670 0.575097i
\(704\) 2.52927e8 0.724897
\(705\) −1.26220e9 2.22560e8i −3.60215 0.635156i
\(706\) −1.41042e8 + 1.68088e8i −0.400807 + 0.477663i
\(707\) 2.65738e8 + 9.67207e7i 0.751961 + 0.273691i
\(708\) 1.21450e8 4.42042e7i 0.342214 0.124556i
\(709\) 4.07116e7 3.41611e7i 0.114230 0.0958503i −0.583884 0.811837i \(-0.698468\pi\)
0.698113 + 0.715987i \(0.254023\pi\)
\(710\) 2.50283e8 + 4.33503e8i 0.699288 + 1.21120i
\(711\) −5.83991e7 3.37168e7i −0.162479 0.0938074i
\(712\) −2.31481e7 1.31280e8i −0.0641321 0.363711i
\(713\) −6.88583e6 + 1.21416e6i −0.0189971 + 0.00334970i
\(714\) −6.54875e7 + 1.13428e8i −0.179914 + 0.311619i
\(715\) −1.54372e8 + 8.91268e7i −0.422329 + 0.243832i
\(716\) −1.65995e8 1.97825e8i −0.452225 0.538941i
\(717\) 2.15673e8 + 5.92557e8i 0.585111 + 1.60758i
\(718\) −5.75563e7 + 1.58135e8i −0.155496 + 0.427222i
\(719\) −6.92179e7 5.80807e7i −0.186222 0.156259i 0.544911 0.838494i \(-0.316564\pi\)
−0.731133 + 0.682235i \(0.761008\pi\)
\(720\) 1.55502e6 8.81895e6i 0.00416618 0.0236276i
\(721\) 2.47403e8i 0.660083i
\(722\) 9.43741e7 2.09313e8i 0.250750 0.556139i
\(723\) 9.21472e8 2.43819
\(724\) 3.23135e8 + 5.69774e7i 0.851467 + 0.150137i
\(725\) 1.81191e8 2.15935e8i 0.475470 0.566643i
\(726\) −1.37152e8 4.99193e7i −0.358420 0.130454i
\(727\) −2.18981e8 + 7.97025e7i −0.569905 + 0.207429i −0.610869 0.791732i \(-0.709180\pi\)
0.0409631 + 0.999161i \(0.486957\pi\)
\(728\) −8.25174e7 + 6.92403e7i −0.213871 + 0.179459i
\(729\) −5.72769e6 9.92064e6i −0.0147842 0.0256069i
\(730\) −5.46711e6 3.15644e6i −0.0140537 0.00811389i
\(731\) −159744. 905952.i −0.000408952 0.00231928i
\(732\) 5.29183e7 9.33093e6i 0.134919 0.0237898i
\(733\) −9.37911e7 + 1.62451e8i −0.238150 + 0.412487i −0.960183 0.279371i \(-0.909874\pi\)
0.722034 + 0.691858i \(0.243207\pi\)
\(734\) −2.41334e8 + 1.39334e8i −0.610282 + 0.352346i
\(735\) −5.13395e8 6.11841e8i −1.29297 1.54091i
\(736\) 1.46786e7 + 4.03290e7i 0.0368171 + 0.101154i
\(737\) −2.34354e8 + 6.43883e8i −0.585424 + 1.60844i
\(738\) 7.34222e7 + 6.16086e7i 0.182666 + 0.153275i
\(739\) −5.89576e7 + 3.34365e8i −0.146085 + 0.828491i 0.820404 + 0.571784i \(0.193749\pi\)
−0.966489 + 0.256707i \(0.917363\pi\)
\(740\) 4.57643e8i 1.12936i
\(741\) −6.48675e7 8.34303e7i −0.159431 0.205054i
\(742\) −5.82246e7 −0.142526
\(743\) 3.03822e8 + 5.35720e7i 0.740717 + 0.130608i 0.531259 0.847209i \(-0.321719\pi\)
0.209458 + 0.977818i \(0.432830\pi\)
\(744\) −5.93692e7 + 7.07534e7i −0.144159 + 0.171802i
\(745\) 5.31606e8 + 1.93489e8i 1.28565 + 0.467937i
\(746\) −2.19209e8 + 7.97856e7i −0.528010 + 0.192180i
\(747\) 1.59046e8 1.33455e8i 0.381558 0.320166i
\(748\) 5.59141e7 + 9.68460e7i 0.133603 + 0.231407i
\(749\) −7.45003e8 4.30128e8i −1.77301 1.02365i
\(750\) −1.81136e8 1.02727e9i −0.429360 2.43502i
\(751\) 2.89346e7 5.10195e6i 0.0683121 0.0120453i −0.139388 0.990238i \(-0.544513\pi\)
0.207700 + 0.978193i \(0.433402\pi\)
\(752\) −7.12021e6 + 1.23326e7i −0.0167432 + 0.0290001i
\(753\) 1.13547e7 6.55566e6i 0.0265945 0.0153544i
\(754\) 9.60269e6 + 1.14440e7i 0.0224016 + 0.0266972i
\(755\) 2.38201e8 + 6.54451e8i 0.553480 + 1.52067i
\(756\) 6.80464e7 1.86956e8i 0.157485 0.432687i
\(757\) −2.02499e8 1.69917e8i −0.466804 0.391695i 0.378823 0.925469i \(-0.376329\pi\)
−0.845627 + 0.533774i \(0.820773\pi\)
\(758\) −6.72657e7 + 3.81483e8i −0.154449 + 0.875926i
\(759\) 7.16983e7i 0.163977i
\(760\) −3.91183e8 7.39901e8i −0.891126 1.68552i
\(761\) 8.27395e7 0.187741 0.0938705 0.995584i \(-0.470076\pi\)
0.0938705 + 0.995584i \(0.470076\pi\)
\(762\) 4.39483e8 + 7.74927e7i 0.993293 + 0.175144i