Properties

Label 43.6.g.a.10.1
Level 43
Weight 6
Character 43.10
Analytic conductor 6.897
Analytic rank 0
Dimension 204
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 10.1
Character \(\chi\) \(=\) 43.10
Dual form 43.6.g.a.13.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.36214 - 10.3492i) q^{2} +(-5.75023 - 5.33543i) q^{3} +(-72.6953 + 35.0082i) q^{4} +(-7.82578 + 1.17955i) q^{5} +(-41.6347 + 72.1133i) q^{6} +(62.4925 + 108.240i) q^{7} +(322.229 + 404.063i) q^{8} +(-13.5611 - 180.961i) q^{9} +O(q^{10})\) \(q+(-2.36214 - 10.3492i) q^{2} +(-5.75023 - 5.33543i) q^{3} +(-72.6953 + 35.0082i) q^{4} +(-7.82578 + 1.17955i) q^{5} +(-41.6347 + 72.1133i) q^{6} +(62.4925 + 108.240i) q^{7} +(322.229 + 404.063i) q^{8} +(-13.5611 - 180.961i) q^{9} +(30.6929 + 78.2043i) q^{10} +(-541.536 - 260.790i) q^{11} +(604.799 + 186.556i) q^{12} +(-238.584 + 607.902i) q^{13} +(972.583 - 902.425i) q^{14} +(51.2934 + 34.9713i) q^{15} +(1810.76 - 2270.63i) q^{16} +(1356.50 + 204.460i) q^{17} +(-1840.76 + 567.801i) q^{18} +(-107.850 + 1439.16i) q^{19} +(527.604 - 359.714i) q^{20} +(218.162 - 955.830i) q^{21} +(-1419.78 + 6220.48i) q^{22} +(420.174 - 286.470i) q^{23} +(302.958 - 4042.69i) q^{24} +(-2926.31 + 902.648i) q^{25} +(6854.87 + 1033.21i) q^{26} +(-2075.99 + 2603.21i) q^{27} +(-8332.20 - 5680.80i) q^{28} +(-3272.35 + 3036.30i) q^{29} +(240.763 - 613.453i) q^{30} +(-2359.18 - 727.712i) q^{31} +(-12876.1 - 6200.82i) q^{32} +(1722.53 + 4388.93i) q^{33} +(-1088.25 - 14521.7i) q^{34} +(-616.727 - 773.351i) q^{35} +(7320.94 + 12680.2i) q^{36} +(-4376.92 + 7581.05i) q^{37} +(15148.9 - 2283.33i) q^{38} +(4615.33 - 2222.63i) q^{39} +(-2998.31 - 2782.02i) q^{40} +(-311.934 - 1366.67i) q^{41} -10407.4 q^{42} +(-7680.21 - 9382.05i) q^{43} +48496.9 q^{44} +(319.578 + 1400.16i) q^{45} +(-3957.25 - 3671.79i) q^{46} +(-4610.57 + 2220.34i) q^{47} +(-22527.1 + 3395.41i) q^{48} +(592.883 - 1026.90i) q^{49} +(16254.0 + 28152.8i) q^{50} +(-6709.31 - 8413.21i) q^{51} +(-3937.63 - 52544.0i) q^{52} +(-12396.1 - 31584.8i) q^{53} +(31844.9 + 15335.7i) q^{54} +(4545.55 + 1402.12i) q^{55} +(-23598.9 + 60129.1i) q^{56} +(8298.70 - 7700.07i) q^{57} +(39153.0 + 26694.1i) q^{58} +(-19415.9 + 24346.7i) q^{59} +(-4953.07 - 746.556i) q^{60} +(-6595.23 + 2034.36i) q^{61} +(-1958.52 + 26134.6i) q^{62} +(18739.7 - 12776.5i) q^{63} +(-13078.2 + 57299.3i) q^{64} +(1150.06 - 5038.73i) q^{65} +(41353.1 - 28194.0i) q^{66} +(-4500.74 + 60058.2i) q^{67} +(-105769. + 32625.4i) q^{68} +(-3944.54 - 594.544i) q^{69} +(-6546.77 + 8209.39i) q^{70} +(-40715.9 - 27759.7i) q^{71} +(68749.7 - 63790.4i) q^{72} +(31246.6 - 79615.0i) q^{73} +(88796.7 + 27390.2i) q^{74} +(21643.0 + 10422.7i) q^{75} +(-42542.2 - 108396. i) q^{76} +(-5613.98 - 74913.3i) q^{77} +(-33904.5 - 42514.9i) q^{78} +(-32407.5 - 56131.4i) q^{79} +(-11492.3 + 19905.3i) q^{80} +(-17777.6 + 2679.54i) q^{81} +(-13407.1 + 6456.53i) q^{82} +(59256.0 + 54981.5i) q^{83} +(17602.6 + 77121.8i) q^{84} -10856.8 q^{85} +(-78955.0 + 101646. i) q^{86} +35016.7 q^{87} +(-69123.2 - 302849. i) q^{88} +(69547.7 + 64530.9i) q^{89} +(13735.7 - 6614.75i) q^{90} +(-80709.1 + 12164.9i) q^{91} +(-20515.9 + 35534.6i) q^{92} +(9683.20 + 16771.8i) q^{93} +(33869.5 + 42471.0i) q^{94} +(-853.544 - 11389.8i) q^{95} +(40956.7 + 104356. i) q^{96} +(132008. + 63571.5i) q^{97} +(-12028.1 - 3710.18i) q^{98} +(-39848.8 + 101533. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + O(q^{10}) \) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + 303q^{10} - 1340q^{11} + 858q^{12} + 814q^{13} + 1202q^{14} - 2083q^{15} - 6248q^{16} - 214q^{17} - 174q^{18} - 246q^{19} - 17139q^{20} + 3007q^{21} + 2118q^{22} + 3192q^{23} + 15880q^{24} + 3652q^{25} - 1237q^{26} + 108q^{27} - 6780q^{28} - 18827q^{29} + 98080q^{30} - 43196q^{31} - 3930q^{32} + 28181q^{33} + 45155q^{34} + 33275q^{35} - 49399q^{36} + 34607q^{37} - 43374q^{38} + 15155q^{39} - 108727q^{40} + 7156q^{41} - 48066q^{42} - 176452q^{43} + 26068q^{44} - 96386q^{45} - 27185q^{46} + 20402q^{47} + 198899q^{48} - 158742q^{49} + 186243q^{50} + 98589q^{51} + 278918q^{52} + 14102q^{53} + 270894q^{54} - 334770q^{55} + 61999q^{56} - 202490q^{57} + 213658q^{58} - 43753q^{59} - 389005q^{60} + 80516q^{61} + 162349q^{62} - 75177q^{63} - 489850q^{64} + 93726q^{65} + 246095q^{66} - 322922q^{67} + 475089q^{68} - 397079q^{69} - 614985q^{70} - 233345q^{71} + 379655q^{72} + 159391q^{73} + 695938q^{74} + 344081q^{75} - 50808q^{76} + 608177q^{77} + 605548q^{78} - 272109q^{79} + 601054q^{80} + 193536q^{81} - 996896q^{82} + 177813q^{83} - 919009q^{84} - 844524q^{85} - 876752q^{86} - 188214q^{87} - 59998q^{88} - 469041q^{89} - 453431q^{90} - 223189q^{91} - 94922q^{92} + 569174q^{93} + 1175168q^{94} + 435689q^{95} + 1557688q^{96} + 643751q^{97} + 886196q^{98} + 1422581q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.36214 10.3492i −0.417571 1.82950i −0.546008 0.837780i \(-0.683853\pi\)
0.128437 0.991718i \(-0.459004\pi\)
\(3\) −5.75023 5.33543i −0.368877 0.342268i 0.473853 0.880604i \(-0.342863\pi\)
−0.842730 + 0.538336i \(0.819053\pi\)
\(4\) −72.6953 + 35.0082i −2.27173 + 1.09401i
\(5\) −7.82578 + 1.17955i −0.139992 + 0.0211004i −0.218664 0.975800i \(-0.570170\pi\)
0.0786725 + 0.996901i \(0.474932\pi\)
\(6\) −41.6347 + 72.1133i −0.472147 + 0.817782i
\(7\) 62.4925 + 108.240i 0.482039 + 0.834917i 0.999787 0.0206163i \(-0.00656285\pi\)
−0.517748 + 0.855533i \(0.673230\pi\)
\(8\) 322.229 + 404.063i 1.78008 + 2.23215i
\(9\) −13.5611 180.961i −0.0558071 0.744694i
\(10\) 30.6929 + 78.2043i 0.0970596 + 0.247304i
\(11\) −541.536 260.790i −1.34941 0.649844i −0.387164 0.922011i \(-0.626545\pi\)
−0.962250 + 0.272167i \(0.912260\pi\)
\(12\) 604.799 + 186.556i 1.21243 + 0.373986i
\(13\) −238.584 + 607.902i −0.391546 + 0.997643i 0.590168 + 0.807281i \(0.299062\pi\)
−0.981714 + 0.190363i \(0.939034\pi\)
\(14\) 972.583 902.425i 1.32619 1.23053i
\(15\) 51.2934 + 34.9713i 0.0588618 + 0.0401313i
\(16\) 1810.76 2270.63i 1.76832 2.21741i
\(17\) 1356.50 + 204.460i 1.13841 + 0.171587i 0.691077 0.722782i \(-0.257137\pi\)
0.447330 + 0.894369i \(0.352375\pi\)
\(18\) −1840.76 + 567.801i −1.33911 + 0.413061i
\(19\) −107.850 + 1439.16i −0.0685388 + 0.914586i 0.851901 + 0.523702i \(0.175450\pi\)
−0.920440 + 0.390884i \(0.872169\pi\)
\(20\) 527.604 359.714i 0.294939 0.201086i
\(21\) 218.162 955.830i 0.107952 0.472969i
\(22\) −1419.78 + 6220.48i −0.625412 + 2.74011i
\(23\) 420.174 286.470i 0.165619 0.112917i −0.477674 0.878537i \(-0.658520\pi\)
0.643293 + 0.765620i \(0.277568\pi\)
\(24\) 302.958 4042.69i 0.107363 1.43266i
\(25\) −2926.31 + 902.648i −0.936420 + 0.288847i
\(26\) 6854.87 + 1033.21i 1.98868 + 0.299746i
\(27\) −2075.99 + 2603.21i −0.548044 + 0.687225i
\(28\) −8332.20 5680.80i −2.00847 1.36935i
\(29\) −3272.35 + 3036.30i −0.722545 + 0.670423i −0.953107 0.302634i \(-0.902134\pi\)
0.230562 + 0.973058i \(0.425943\pi\)
\(30\) 240.763 613.453i 0.0488412 0.124445i
\(31\) −2359.18 727.712i −0.440918 0.136005i 0.0663446 0.997797i \(-0.478866\pi\)
−0.507262 + 0.861792i \(0.669343\pi\)
\(32\) −12876.1 6200.82i −2.22285 1.07047i
\(33\) 1722.53 + 4388.93i 0.275348 + 0.701574i
\(34\) −1088.25 14521.7i −0.161447 2.15436i
\(35\) −616.727 773.351i −0.0850986 0.106710i
\(36\) 7320.94 + 12680.2i 0.941479 + 1.63069i
\(37\) −4376.92 + 7581.05i −0.525611 + 0.910385i 0.473944 + 0.880555i \(0.342830\pi\)
−0.999555 + 0.0298299i \(0.990503\pi\)
\(38\) 15148.9 2283.33i 1.70185 0.256513i
\(39\) 4615.33 2222.63i 0.485894 0.233994i
\(40\) −2998.31 2782.02i −0.296296 0.274923i
\(41\) −311.934 1366.67i −0.0289803 0.126971i 0.958369 0.285534i \(-0.0921710\pi\)
−0.987349 + 0.158563i \(0.949314\pi\)
\(42\) −10407.4 −0.910373
\(43\) −7680.21 9382.05i −0.633435 0.773796i
\(44\) 48496.9 3.77644
\(45\) 319.578 + 1400.16i 0.0235258 + 0.103073i
\(46\) −3957.25 3671.79i −0.275739 0.255849i
\(47\) −4610.57 + 2220.34i −0.304446 + 0.146614i −0.579869 0.814710i \(-0.696896\pi\)
0.275423 + 0.961323i \(0.411182\pi\)
\(48\) −22527.1 + 3395.41i −1.41124 + 0.212711i
\(49\) 592.883 1026.90i 0.0352759 0.0610997i
\(50\) 16254.0 + 28152.8i 0.919468 + 1.59256i
\(51\) −6709.31 8413.21i −0.361204 0.452935i
\(52\) −3937.63 52544.0i −0.201942 2.69473i
\(53\) −12396.1 31584.8i −0.606173 1.54450i −0.822850 0.568259i \(-0.807617\pi\)
0.216677 0.976243i \(-0.430478\pi\)
\(54\) 31844.9 + 15335.7i 1.48612 + 0.715680i
\(55\) 4545.55 + 1402.12i 0.202619 + 0.0624997i
\(56\) −23598.9 + 60129.1i −1.00559 + 2.56221i
\(57\) 8298.70 7700.07i 0.338316 0.313912i
\(58\) 39153.0 + 26694.1i 1.52825 + 1.04194i
\(59\) −19415.9 + 24346.7i −0.726151 + 0.910565i −0.998669 0.0515859i \(-0.983572\pi\)
0.272517 + 0.962151i \(0.412144\pi\)
\(60\) −4953.07 746.556i −0.177622 0.0267722i
\(61\) −6595.23 + 2034.36i −0.226937 + 0.0700008i −0.406138 0.913812i \(-0.633125\pi\)
0.179201 + 0.983812i \(0.442649\pi\)
\(62\) −1958.52 + 26134.6i −0.0647066 + 0.863450i
\(63\) 18739.7 12776.5i 0.594856 0.405566i
\(64\) −13078.2 + 57299.3i −0.399115 + 1.74864i
\(65\) 1150.06 5038.73i 0.0337626 0.147924i
\(66\) 41353.1 28194.0i 1.16855 0.796705i
\(67\) −4500.74 + 60058.2i −0.122489 + 1.63450i 0.510172 + 0.860073i \(0.329582\pi\)
−0.632661 + 0.774429i \(0.718037\pi\)
\(68\) −105769. + 32625.4i −2.77387 + 0.855625i
\(69\) −3944.54 594.544i −0.0997410 0.0150335i
\(70\) −6546.77 + 8209.39i −0.159692 + 0.200247i
\(71\) −40715.9 27759.7i −0.958558 0.653534i −0.0204187 0.999792i \(-0.506500\pi\)
−0.938139 + 0.346258i \(0.887452\pi\)
\(72\) 68749.7 63790.4i 1.56293 1.45019i
\(73\) 31246.6 79615.0i 0.686270 1.74859i 0.0235483 0.999723i \(-0.492504\pi\)
0.662722 0.748865i \(-0.269401\pi\)
\(74\) 88796.7 + 27390.2i 1.88503 + 0.581454i
\(75\) 21643.0 + 10422.7i 0.444288 + 0.213958i
\(76\) −42542.2 108396.i −0.844862 2.15267i
\(77\) −5613.98 74913.3i −0.107906 1.43990i
\(78\) −33904.5 42514.9i −0.630987 0.791233i
\(79\) −32407.5 56131.4i −0.584222 1.01190i −0.994972 0.100154i \(-0.968066\pi\)
0.410750 0.911748i \(-0.365267\pi\)
\(80\) −11492.3 + 19905.3i −0.200763 + 0.347731i
\(81\) −17777.6 + 2679.54i −0.301064 + 0.0453782i
\(82\) −13407.1 + 6456.53i −0.220192 + 0.106039i
\(83\) 59256.0 + 54981.5i 0.944141 + 0.876035i 0.992432 0.122798i \(-0.0391868\pi\)
−0.0482904 + 0.998833i \(0.515377\pi\)
\(84\) 17602.6 + 77121.8i 0.272193 + 1.19256i
\(85\) −10856.8 −0.162988
\(86\) −78955.0 + 101646.i −1.15115 + 1.48198i
\(87\) 35016.7 0.495995
\(88\) −69123.2 302849.i −0.951519 4.16888i
\(89\) 69547.7 + 64530.9i 0.930696 + 0.863560i 0.990896 0.134627i \(-0.0429835\pi\)
−0.0602003 + 0.998186i \(0.519174\pi\)
\(90\) 13735.7 6614.75i 0.178749 0.0860810i
\(91\) −80709.1 + 12164.9i −1.02169 + 0.153995i
\(92\) −20515.9 + 35534.6i −0.252709 + 0.437705i
\(93\) 9683.20 + 16771.8i 0.116094 + 0.201081i
\(94\) 33869.5 + 42471.0i 0.395357 + 0.495762i
\(95\) −853.544 11389.8i −0.00970324 0.129481i
\(96\) 40956.7 + 104356.i 0.453572 + 1.15568i
\(97\) 132008. + 63571.5i 1.42452 + 0.686014i 0.977971 0.208743i \(-0.0669371\pi\)
0.446553 + 0.894757i \(0.352651\pi\)
\(98\) −12028.1 3710.18i −0.126512 0.0390238i
\(99\) −39848.8 + 101533.i −0.408628 + 1.04117i
\(100\) 181129. 168063.i 1.81129 1.68063i
\(101\) −11388.3 7764.39i −0.111085 0.0757362i 0.506503 0.862238i \(-0.330938\pi\)
−0.617588 + 0.786502i \(0.711890\pi\)
\(102\) −71221.7 + 89309.1i −0.677816 + 0.849954i
\(103\) −198247. 29881.0i −1.84126 0.277525i −0.866234 0.499638i \(-0.833466\pi\)
−0.975021 + 0.222114i \(0.928704\pi\)
\(104\) −322510. + 99481.0i −2.92388 + 0.901897i
\(105\) −579.842 + 7737.45i −0.00513258 + 0.0684896i
\(106\) −297596. + 202898.i −2.57254 + 1.75393i
\(107\) 6098.51 26719.3i 0.0514949 0.225614i −0.942632 0.333833i \(-0.891658\pi\)
0.994127 + 0.108219i \(0.0345149\pi\)
\(108\) 59781.0 261918.i 0.493178 2.16075i
\(109\) −26851.8 + 18307.3i −0.216475 + 0.147590i −0.666703 0.745324i \(-0.732295\pi\)
0.450228 + 0.892914i \(0.351343\pi\)
\(110\) 3773.57 50354.8i 0.0297352 0.396789i
\(111\) 65616.5 20240.0i 0.505482 0.155920i
\(112\) 358932. + 54100.3i 2.70375 + 0.407525i
\(113\) −61241.2 + 76794.1i −0.451178 + 0.565759i −0.954451 0.298368i \(-0.903558\pi\)
0.503273 + 0.864128i \(0.332129\pi\)
\(114\) −99292.2 67696.3i −0.715572 0.487868i
\(115\) −2950.29 + 2737.47i −0.0208027 + 0.0193021i
\(116\) 131589. 335284.i 0.907977 2.31349i
\(117\) 113242. + 34930.5i 0.764790 + 0.235906i
\(118\) 297832. + 143429.i 1.96910 + 0.948267i
\(119\) 62640.3 + 159605.i 0.405496 + 1.03319i
\(120\) 2397.66 + 31994.6i 0.0151997 + 0.202826i
\(121\) 124836. + 156539.i 0.775133 + 0.971986i
\(122\) 36632.9 + 63450.0i 0.222829 + 0.385951i
\(123\) −5498.09 + 9522.97i −0.0327679 + 0.0567557i
\(124\) 196978. 29689.6i 1.15044 0.173400i
\(125\) 44118.6 21246.4i 0.252549 0.121621i
\(126\) −176493. 163761.i −0.990377 0.918935i
\(127\) −47094.1 206333.i −0.259094 1.13517i −0.922222 0.386660i \(-0.873629\pi\)
0.663128 0.748506i \(-0.269228\pi\)
\(128\) 166569. 0.898605
\(129\) −5894.33 + 94926.2i −0.0311861 + 0.502241i
\(130\) −54863.4 −0.284724
\(131\) 25389.7 + 111240.i 0.129264 + 0.566345i 0.997530 + 0.0702446i \(0.0223780\pi\)
−0.868265 + 0.496100i \(0.834765\pi\)
\(132\) −278868. 258752.i −1.39304 1.29255i
\(133\) −162515. + 78262.9i −0.796642 + 0.383642i
\(134\) 632186. 95286.7i 3.04147 0.458427i
\(135\) 13175.6 22820.8i 0.0622210 0.107770i
\(136\) 354490. + 613994.i 1.64345 + 2.84654i
\(137\) −229625. 287941.i −1.04525 1.31070i −0.948978 0.315342i \(-0.897881\pi\)
−0.0962683 0.995355i \(-0.530691\pi\)
\(138\) 3164.49 + 42227.2i 0.0141451 + 0.188754i
\(139\) 17751.8 + 45230.8i 0.0779301 + 0.198563i 0.964529 0.263976i \(-0.0850339\pi\)
−0.886599 + 0.462539i \(0.846939\pi\)
\(140\) 71906.8 + 34628.5i 0.310063 + 0.149318i
\(141\) 38358.3 + 11832.0i 0.162484 + 0.0501198i
\(142\) −191114. + 486950.i −0.795373 + 2.02658i
\(143\) 287736. 266980.i 1.17667 1.09179i
\(144\) −435450. 296885.i −1.74998 1.19311i
\(145\) 22027.2 27621.3i 0.0870041 0.109100i
\(146\) −897760. 135316.i −3.48561 0.525370i
\(147\) −8888.18 + 2741.64i −0.0339250 + 0.0104645i
\(148\) 52782.6 704335.i 0.198078 2.64317i
\(149\) 376590. 256755.i 1.38964 0.947443i 0.389998 0.920816i \(-0.372476\pi\)
0.999645 0.0266268i \(-0.00847658\pi\)
\(150\) 56743.1 248608.i 0.205913 0.902166i
\(151\) −23348.4 + 102296.i −0.0833326 + 0.365104i −0.999351 0.0360332i \(-0.988528\pi\)
0.916018 + 0.401137i \(0.131385\pi\)
\(152\) −616263. + 420161.i −2.16350 + 1.47505i
\(153\) 18603.4 248246.i 0.0642488 0.857340i
\(154\) −762032. + 235056.i −2.58923 + 0.798673i
\(155\) 19320.8 + 2912.15i 0.0645947 + 0.00973608i
\(156\) −257703. + 323149.i −0.847828 + 1.06314i
\(157\) 301454. + 205528.i 0.976049 + 0.665459i 0.942580 0.333981i \(-0.108392\pi\)
0.0334690 + 0.999440i \(0.489344\pi\)
\(158\) −504365. + 467982.i −1.60732 + 1.49137i
\(159\) −97238.1 + 247759.i −0.305031 + 0.777206i
\(160\) 108080. + 33338.2i 0.333768 + 0.102954i
\(161\) 57265.3 + 27577.5i 0.174111 + 0.0838475i
\(162\) 69724.1 + 177654.i 0.208735 + 0.531848i
\(163\) −3774.71 50370.1i −0.0111279 0.148492i 0.988872 0.148769i \(-0.0475310\pi\)
−1.00000 0.000276602i \(0.999912\pi\)
\(164\) 70520.8 + 88430.3i 0.204742 + 0.256739i
\(165\) −18657.1 32315.0i −0.0533499 0.0924047i
\(166\) 429044. 743126.i 1.20846 2.09311i
\(167\) −397492. + 59912.3i −1.10290 + 0.166236i −0.675165 0.737667i \(-0.735928\pi\)
−0.427738 + 0.903903i \(0.640689\pi\)
\(168\) 456514. 219845.i 1.24790 0.600958i
\(169\) −40445.7 37528.1i −0.108932 0.101074i
\(170\) 25645.4 + 112360.i 0.0680591 + 0.298187i
\(171\) 261894. 0.684912
\(172\) 886764. + 413161.i 2.28553 + 1.06487i
\(173\) 589106. 1.49651 0.748253 0.663414i \(-0.230893\pi\)
0.748253 + 0.663414i \(0.230893\pi\)
\(174\) −82714.3 362395.i −0.207113 0.907422i
\(175\) −280575. 260336.i −0.692555 0.642597i
\(176\) −1.57275e6 + 757396.i −3.82717 + 1.84307i
\(177\) 241546. 36407.2i 0.579518 0.0873483i
\(178\) 503562. 872194.i 1.19125 2.06330i
\(179\) 97367.4 + 168645.i 0.227133 + 0.393407i 0.956957 0.290228i \(-0.0937313\pi\)
−0.729824 + 0.683635i \(0.760398\pi\)
\(180\) −72249.0 90597.3i −0.166207 0.208418i
\(181\) −24823.9 331252.i −0.0563215 0.751558i −0.951852 0.306558i \(-0.900823\pi\)
0.895531 0.445000i \(-0.146796\pi\)
\(182\) 316544. + 806540.i 0.708362 + 1.80488i
\(183\) 48778.3 + 23490.4i 0.107671 + 0.0518516i
\(184\) 251144. + 77467.8i 0.546864 + 0.168685i
\(185\) 25310.6 64490.4i 0.0543718 0.138537i
\(186\) 150702. 139831.i 0.319400 0.296360i
\(187\) −681272. 464484.i −1.42468 0.971329i
\(188\) 257437. 322816.i 0.531223 0.666132i
\(189\) −411505. 62024.4i −0.837955 0.126301i
\(190\) −115859. + 35737.7i −0.232833 + 0.0718195i
\(191\) −7812.78 + 104254.i −0.0154961 + 0.206781i 0.984081 + 0.177718i \(0.0568714\pi\)
−0.999578 + 0.0290631i \(0.990748\pi\)
\(192\) 380919. 259706.i 0.745727 0.508428i
\(193\) −29642.0 + 129870.i −0.0572815 + 0.250967i −0.995459 0.0951866i \(-0.969655\pi\)
0.938178 + 0.346153i \(0.112512\pi\)
\(194\) 346094. 1.51634e6i 0.660222 2.89262i
\(195\) −33496.9 + 22837.8i −0.0630838 + 0.0430098i
\(196\) −7149.75 + 95406.8i −0.0132938 + 0.177394i
\(197\) −32445.5 + 10008.1i −0.0595648 + 0.0183733i −0.324394 0.945922i \(-0.605160\pi\)
0.264830 + 0.964295i \(0.414684\pi\)
\(198\) 1.14492e6 + 172568.i 2.07544 + 0.312823i
\(199\) −287983. + 361120.i −0.515507 + 0.646425i −0.969648 0.244504i \(-0.921375\pi\)
0.454141 + 0.890930i \(0.349946\pi\)
\(200\) −1.30767e6 891555.i −2.31166 1.57606i
\(201\) 346317. 321335.i 0.604621 0.561007i
\(202\) −53454.6 + 136200.i −0.0921736 + 0.234854i
\(203\) −533146. 164454.i −0.908043 0.280094i
\(204\) 782267. + 376720.i 1.31607 + 0.633786i
\(205\) 4053.18 + 10327.3i 0.00673614 + 0.0171634i
\(206\) 159043. + 2.12228e6i 0.261124 + 3.48446i
\(207\) −57537.8 72150.1i −0.0933313 0.117034i
\(208\) 948300. + 1.64250e6i 1.51980 + 2.63238i
\(209\) 433723. 751229.i 0.686825 1.18962i
\(210\) 81446.1 12276.0i 0.127445 0.0192092i
\(211\) −91049.1 + 43846.9i −0.140789 + 0.0678005i −0.502952 0.864314i \(-0.667753\pi\)
0.362163 + 0.932115i \(0.382038\pi\)
\(212\) 2.00687e6 + 1.86210e6i 3.06676 + 2.84553i
\(213\) 86016.2 + 376862.i 0.129907 + 0.569158i
\(214\) −290929. −0.434263
\(215\) 71170.2 + 64362.7i 0.105003 + 0.0949594i
\(216\) −1.72080e6 −2.50956
\(217\) −68663.6 300835.i −0.0989868 0.433690i
\(218\) 252893. + 234651.i 0.360409 + 0.334411i
\(219\) −604455. + 291090.i −0.851636 + 0.410126i
\(220\) −379526. + 57204.3i −0.528670 + 0.0796842i
\(221\) −447931. + 775839.i −0.616922 + 1.06854i
\(222\) −364463. 631269.i −0.496331 0.859670i
\(223\) −58011.6 72744.2i −0.0781182 0.0979572i 0.741237 0.671244i \(-0.234240\pi\)
−0.819355 + 0.573287i \(0.805668\pi\)
\(224\) −133484. 1.78122e6i −0.177750 2.37190i
\(225\) 203028. + 517306.i 0.267362 + 0.681227i
\(226\) 939418. + 452400.i 1.22345 + 0.589184i
\(227\) −39805.2 12278.3i −0.0512714 0.0158151i 0.269013 0.963136i \(-0.413302\pi\)
−0.320285 + 0.947321i \(0.603779\pi\)
\(228\) −333711. + 850281.i −0.425141 + 1.08324i
\(229\) −355513. + 329867.i −0.447988 + 0.415672i −0.871635 0.490155i \(-0.836940\pi\)
0.423647 + 0.905827i \(0.360750\pi\)
\(230\) 35299.6 + 24066.8i 0.0439997 + 0.0299985i
\(231\) −367413. + 460722.i −0.453028 + 0.568079i
\(232\) −2.28130e6 343851.i −2.78268 0.419421i
\(233\) −747248. + 230495.i −0.901726 + 0.278146i −0.710746 0.703448i \(-0.751643\pi\)
−0.190980 + 0.981594i \(0.561166\pi\)
\(234\) 94009.7 1.25447e6i 0.112236 1.49769i
\(235\) 33462.4 22814.2i 0.0395264 0.0269486i
\(236\) 559108. 2.44961e6i 0.653454 2.86297i
\(237\) −113135. + 495677.i −0.130836 + 0.573228i
\(238\) 1.50382e6 1.02529e6i 1.72089 1.17328i
\(239\) −4758.81 + 63502.0i −0.00538895 + 0.0719105i −0.999250 0.0387262i \(-0.987670\pi\)
0.993861 + 0.110637i \(0.0352890\pi\)
\(240\) 172287. 53143.5i 0.193074 0.0595555i
\(241\) 2033.68 + 306.527i 0.00225548 + 0.000339959i 0.150170 0.988660i \(-0.452018\pi\)
−0.147914 + 0.989000i \(0.547256\pi\)
\(242\) 1.32518e6 1.66172e6i 1.45457 1.82398i
\(243\) 785031. + 535225.i 0.852847 + 0.581461i
\(244\) 408223. 378776.i 0.438958 0.407294i
\(245\) −3428.49 + 8735.65i −0.00364912 + 0.00929779i
\(246\) 111542. + 34406.3i 0.117517 + 0.0362493i
\(247\) −849136. 408922.i −0.885595 0.426480i
\(248\) −466157. 1.18775e6i −0.481286 1.22630i
\(249\) −47385.3 632313.i −0.0484334 0.646299i
\(250\) −324097. 406405.i −0.327963 0.411253i
\(251\) 167656. + 290389.i 0.167971 + 0.290935i 0.937707 0.347428i \(-0.112945\pi\)
−0.769735 + 0.638363i \(0.779612\pi\)
\(252\) −915007. + 1.58484e6i −0.907660 + 1.57211i
\(253\) −302248. + 45556.5i −0.296867 + 0.0447455i
\(254\) −2.02414e6 + 974774.i −1.96859 + 0.948024i
\(255\) 62429.3 + 57926.0i 0.0601227 + 0.0557857i
\(256\) 25043.5 + 109723.i 0.0238833 + 0.104640i
\(257\) 754631. 0.712692 0.356346 0.934354i \(-0.384023\pi\)
0.356346 + 0.934354i \(0.384023\pi\)
\(258\) 996334. 163227.i 0.931870 0.152666i
\(259\) −1.09410e6 −1.01346
\(260\) 92793.2 + 406553.i 0.0851300 + 0.372979i
\(261\) 593827. + 550991.i 0.539583 + 0.500660i
\(262\) 1.09127e6 525526.i 0.982149 0.472978i
\(263\) −229830. + 34641.2i −0.204888 + 0.0308819i −0.250684 0.968069i \(-0.580656\pi\)
0.0457962 + 0.998951i \(0.485418\pi\)
\(264\) −1.21835e6 + 2.11025e6i −1.07588 + 1.86348i
\(265\) 134265. + 232554.i 0.117449 + 0.203427i
\(266\) 1.19384e6 + 1.49703e6i 1.03453 + 1.29726i
\(267\) −55615.3 742135.i −0.0477437 0.637095i
\(268\) −1.77535e6 4.52351e6i −1.50989 3.84715i
\(269\) 506259. + 243802.i 0.426572 + 0.205426i 0.634837 0.772646i \(-0.281067\pi\)
−0.208265 + 0.978072i \(0.566782\pi\)
\(270\) −267300. 82451.2i −0.223146 0.0688316i
\(271\) −315888. + 804868.i −0.261282 + 0.665735i −0.999965 0.00831702i \(-0.997353\pi\)
0.738684 + 0.674052i \(0.235448\pi\)
\(272\) 2.92055e6 2.70988e6i 2.39355 2.22089i
\(273\) 529001. + 360667.i 0.429586 + 0.292887i
\(274\) −2.43756e6 + 3.05660e6i −1.96145 + 2.45959i
\(275\) 1.82010e6 + 274337.i 1.45132 + 0.218752i
\(276\) 307564. 94870.8i 0.243031 0.0749652i
\(277\) 146313. 1.95241e6i 0.114573 1.52887i −0.583066 0.812425i \(-0.698147\pi\)
0.697639 0.716449i \(-0.254234\pi\)
\(278\) 426171. 290558.i 0.330729 0.225487i
\(279\) −99694.0 + 436788.i −0.0766758 + 0.335939i
\(280\) 113755. 498393.i 0.0867112 0.379906i
\(281\) 626690. 427270.i 0.473464 0.322802i −0.302971 0.953000i \(-0.597978\pi\)
0.776435 + 0.630198i \(0.217026\pi\)
\(282\) 31843.9 424927.i 0.0238453 0.318194i
\(283\) −1.96801e6 + 607049.i −1.46070 + 0.450565i −0.920423 0.390924i \(-0.872156\pi\)
−0.540274 + 0.841489i \(0.681679\pi\)
\(284\) 3.93167e6 + 592604.i 2.89255 + 0.435982i
\(285\) −55861.2 + 70047.7i −0.0407378 + 0.0510836i
\(286\) −3.44271e6 2.34720e6i −2.48877 1.69682i
\(287\) 128435. 119170.i 0.0920405 0.0854011i
\(288\) −947489. + 2.41416e6i −0.673121 + 1.71508i
\(289\) 441512. + 136188.i 0.310955 + 0.0959170i
\(290\) −337890. 162719.i −0.235928 0.113617i
\(291\) −419893. 1.06987e6i −0.290674 0.740624i
\(292\) 515699. + 6.88152e6i 0.353948 + 4.72310i
\(293\) −1.11943e6 1.40372e6i −0.761776 0.955236i 0.238096 0.971242i \(-0.423477\pi\)
−0.999872 + 0.0160053i \(0.994905\pi\)
\(294\) 49368.9 + 85509.5i 0.0333108 + 0.0576960i
\(295\) 123226. 213434.i 0.0824420 0.142794i
\(296\) −4.47359e6 + 674286.i −2.96775 + 0.447316i
\(297\) 1.80311e6 868333.i 1.18613 0.571209i
\(298\) −3.54677e6 3.29092e6i −2.31362 2.14672i
\(299\) 73898.9 + 323772.i 0.0478035 + 0.209441i
\(300\) −1.93823e6 −1.24337
\(301\) 535559. 1.41761e6i 0.340715 0.901866i
\(302\) 1.11383e6 0.702754
\(303\) 24058.8 + 105408.i 0.0150545 + 0.0659581i
\(304\) 3.07250e6 + 2.85086e6i 1.90681 + 1.76926i
\(305\) 49213.2 23699.8i 0.0302923 0.0145880i
\(306\) −2.61309e6 + 393860.i −1.59533 + 0.240457i
\(307\) −1.29807e6 + 2.24832e6i −0.786053 + 1.36148i 0.142315 + 0.989821i \(0.454545\pi\)
−0.928368 + 0.371662i \(0.878788\pi\)
\(308\) 3.03069e6 + 5.24931e6i 1.82039 + 3.15301i
\(309\) 980539. + 1.22956e6i 0.584210 + 0.732576i
\(310\) −15500.1 206834.i −0.00916072 0.122241i
\(311\) −1.12823e6 2.87467e6i −0.661447 1.68534i −0.726240 0.687441i \(-0.758734\pi\)
0.0647933 0.997899i \(-0.479361\pi\)
\(312\) 2.38528e6 + 1.14869e6i 1.38724 + 0.668061i
\(313\) −1.02488e6 316134.i −0.591306 0.182394i −0.0153607 0.999882i \(-0.504890\pi\)
−0.575945 + 0.817488i \(0.695366\pi\)
\(314\) 1.41497e6 3.60529e6i 0.809886 2.06356i
\(315\) −131582. + 122091.i −0.0747174 + 0.0693276i
\(316\) 4.32094e6 + 2.94596e6i 2.43422 + 1.65962i
\(317\) 783823. 982882.i 0.438096 0.549355i −0.512944 0.858422i \(-0.671445\pi\)
0.951040 + 0.309067i \(0.100017\pi\)
\(318\) 2.79379e6 + 421097.i 1.54927 + 0.233515i
\(319\) 2.56393e6 790867.i 1.41068 0.435138i
\(320\) 34759.9 463838.i 0.0189759 0.253216i
\(321\) −177627. + 121104.i −0.0962157 + 0.0655988i
\(322\) 150137. 657792.i 0.0806951 0.353548i
\(323\) −440548. + 1.93017e6i −0.234956 + 1.02941i
\(324\) 1.19854e6 817150.i 0.634293 0.432453i
\(325\) 149450. 1.99427e6i 0.0784851 1.04731i
\(326\) −512374. + 158046.i −0.267019 + 0.0823646i
\(327\) 252081. + 37995.1i 0.130368 + 0.0196498i
\(328\) 451707. 566422.i 0.231831 0.290707i
\(329\) −528456. 360295.i −0.269165 0.183514i
\(330\) −290364. + 269418.i −0.146777 + 0.136189i
\(331\) −9414.48 + 23987.7i −0.00472309 + 0.0120342i −0.933216 0.359316i \(-0.883010\pi\)
0.928493 + 0.371351i \(0.121105\pi\)
\(332\) −6.23244e6 1.92245e6i −3.10322 0.957217i
\(333\) 1.43123e6 + 689243.i 0.707291 + 0.340613i
\(334\) 1.55898e6 + 3.97220e6i 0.764668 + 1.94834i
\(335\) −35619.6 475311.i −0.0173411 0.231401i
\(336\) −1.77529e6 2.22615e6i −0.857871 1.07574i
\(337\) 1.26896e6 + 2.19791e6i 0.608659 + 1.05423i 0.991462 + 0.130398i \(0.0416256\pi\)
−0.382803 + 0.923830i \(0.625041\pi\)
\(338\) −292848. + 507227.i −0.139428 + 0.241496i
\(339\) 761881. 114835.i 0.360071 0.0542719i
\(340\) 789242. 380079.i 0.370265 0.178310i
\(341\) 1.08780e6 + 1.00933e6i 0.506599 + 0.470055i
\(342\) −618629. 2.71039e6i −0.285999 1.25304i
\(343\) 2.24882e6 1.03210
\(344\) 1.31615e6 6.12646e6i 0.599665 2.79135i
\(345\) 31570.4 0.0142801
\(346\) −1.39155e6 6.09678e6i −0.624897 2.73785i
\(347\) −1.00092e6 928719.i −0.446248 0.414057i 0.424776 0.905299i \(-0.360353\pi\)
−0.871024 + 0.491241i \(0.836543\pi\)
\(348\) −2.54555e6 + 1.22587e6i −1.12677 + 0.542622i
\(349\) −1.49430e6 + 225230.i −0.656713 + 0.0989835i −0.468942 0.883229i \(-0.655364\pi\)
−0.187771 + 0.982213i \(0.560126\pi\)
\(350\) −2.03151e6 + 3.51868e6i −0.886439 + 1.53536i
\(351\) −1.08720e6 1.88308e6i −0.471021 0.815833i
\(352\) 5.35577e6 + 6.71593e6i 2.30391 + 2.88901i
\(353\) 19044.5 + 254132.i 0.00813455 + 0.108548i 0.999793 0.0203453i \(-0.00647656\pi\)
−0.991658 + 0.128893i \(0.958858\pi\)
\(354\) −947352. 2.41381e6i −0.401794 1.02375i
\(355\) 351378. + 169215.i 0.147980 + 0.0712635i
\(356\) −7.31490e6 2.25635e6i −3.05903 0.943586i
\(357\) 491365. 1.25198e6i 0.204049 0.519908i
\(358\) 1.51535e6 1.40604e6i 0.624892 0.579815i
\(359\) 3.01104e6 + 2.05289e6i 1.23305 + 0.840679i 0.991550 0.129722i \(-0.0414086\pi\)
0.241499 + 0.970401i \(0.422361\pi\)
\(360\) −462776. + 580303.i −0.188198 + 0.235993i
\(361\) 388897. + 58616.8i 0.157061 + 0.0236731i
\(362\) −3.36956e6 + 1.03937e6i −1.35146 + 0.416869i
\(363\) 117370. 1.56619e6i 0.0467509 0.623847i
\(364\) 5.44130e6 3.70982e6i 2.15253 1.46757i
\(365\) −150619. + 659906.i −0.0591764 + 0.259269i
\(366\) 127886. 560304.i 0.0499022 0.218636i
\(367\) −2.08731e6 + 1.42311e6i −0.808951 + 0.551534i −0.895680 0.444698i \(-0.853311\pi\)
0.0867292 + 0.996232i \(0.472359\pi\)
\(368\) 110370. 1.47279e6i 0.0424847 0.566919i
\(369\) −243083. + 74981.3i −0.0929371 + 0.0286673i
\(370\) −727212. 109610.i −0.276157 0.0416240i
\(371\) 2.64408e6 3.31557e6i 0.997332 1.25061i
\(372\) −1.29107e6 880239.i −0.483719 0.329794i
\(373\) −2.56054e6 + 2.37584e6i −0.952928 + 0.884188i −0.993366 0.114994i \(-0.963315\pi\)
0.0404381 + 0.999182i \(0.487125\pi\)
\(374\) −3.19778e6 + 8.14780e6i −1.18214 + 3.01204i
\(375\) −367050. 113220.i −0.134787 0.0415762i
\(376\) −2.38282e6 1.14750e6i −0.869203 0.418586i
\(377\) −1.06504e6 2.71368e6i −0.385934 0.983344i
\(378\) 330129. + 4.40526e6i 0.118838 + 1.58578i
\(379\) 2.82791e6 + 3.54608e6i 1.01127 + 1.26809i 0.963069 + 0.269254i \(0.0867771\pi\)
0.0482002 + 0.998838i \(0.484651\pi\)
\(380\) 460784. + 798101.i 0.163696 + 0.283530i
\(381\) −830073. + 1.43773e6i −0.292957 + 0.507417i
\(382\) 1.09740e6 165407.i 0.384776 0.0579957i
\(383\) −2.90152e6 + 1.39730e6i −1.01071 + 0.486734i −0.864561 0.502528i \(-0.832404\pi\)
−0.146153 + 0.989262i \(0.546689\pi\)
\(384\) −957809. 888717.i −0.331475 0.307564i
\(385\) 132297. + 579633.i 0.0454883 + 0.199297i
\(386\) 1.41407e6 0.483062
\(387\) −1.59363e6 + 1.51705e6i −0.540891 + 0.514898i
\(388\) −1.18219e7 −3.98664
\(389\) 556380. + 2.43766e6i 0.186422 + 0.816768i 0.978483 + 0.206327i \(0.0661509\pi\)
−0.792061 + 0.610442i \(0.790992\pi\)
\(390\) 315477. + 292720.i 0.105028 + 0.0974521i
\(391\) 628538. 302688.i 0.207917 0.100127i
\(392\) 605978. 91336.4i 0.199178 0.0300213i
\(393\) 447514. 775118.i 0.146159 0.253155i
\(394\) 180217. + 312145.i 0.0584864 + 0.101301i
\(395\) 319824. + 401046.i 0.103138 + 0.129331i
\(396\) −657672. 8.77603e6i −0.210752 2.81229i
\(397\) 105515. + 268847.i 0.0335998 + 0.0856109i 0.946689 0.322149i \(-0.104405\pi\)
−0.913089 + 0.407760i \(0.866310\pi\)
\(398\) 4.41756e6 + 2.12738e6i 1.39789 + 0.673191i
\(399\) 1.35206e6 + 417056.i 0.425172 + 0.131148i
\(400\) −3.24929e6 + 8.27905e6i −1.01540 + 2.58720i
\(401\) −1.91142e6 + 1.77354e6i −0.593601 + 0.550781i −0.918729 0.394889i \(-0.870783\pi\)
0.325128 + 0.945670i \(0.394593\pi\)
\(402\) −4.14361e6 2.82507e6i −1.27883 0.871894i
\(403\) 1.00524e6 1.26053e6i 0.308324 0.386626i
\(404\) 1.09969e6 + 165752.i 0.335210 + 0.0505248i
\(405\) 135963. 41938.9i 0.0411891 0.0127051i
\(406\) −442601. + 5.90610e6i −0.133259 + 1.77822i
\(407\) 4.34732e6 2.96395e6i 1.30087 0.886921i
\(408\) 1.23753e6 5.42197e6i 0.368048 1.61252i
\(409\) 1.12953e6 4.94878e6i 0.333878 1.46282i −0.477675 0.878537i \(-0.658520\pi\)
0.811553 0.584279i \(-0.198623\pi\)
\(410\) 97305.4 66341.7i 0.0285876 0.0194907i
\(411\) −215892. + 2.88088e6i −0.0630423 + 0.841241i
\(412\) 1.54577e7 4.76807e6i 4.48645 1.38389i
\(413\) −3.84864e6 580089.i −1.11028 0.167348i
\(414\) −610784. + 765899.i −0.175141 + 0.219619i
\(415\) −528578. 360378.i −0.150657 0.102716i
\(416\) 6.84153e6 6.34801e6i 1.93830 1.79848i
\(417\) 139249. 354801.i 0.0392150 0.0999183i
\(418\) −8.79914e6 2.71418e6i −2.46320 0.759796i
\(419\) −892562. 429835.i −0.248372 0.119610i 0.305556 0.952174i \(-0.401158\pi\)
−0.553929 + 0.832564i \(0.686872\pi\)
\(420\) −228723. 582775.i −0.0632682 0.161205i
\(421\) 139426. + 1.86051e6i 0.0383389 + 0.511596i 0.983007 + 0.183569i \(0.0587649\pi\)
−0.944668 + 0.328028i \(0.893616\pi\)
\(422\) 668851. + 838713.i 0.182830 + 0.229262i
\(423\) 464318. + 804222.i 0.126172 + 0.218537i
\(424\) 8.76786e6 1.51864e7i 2.36853 4.10241i
\(425\) −4.15410e6 + 626130.i −1.11559 + 0.168148i
\(426\) 3.69703e6 1.78040e6i 0.987028 0.475328i
\(427\) −632352. 586737.i −0.167838 0.155730i
\(428\) 492062. + 2.15587e6i 0.129841 + 0.568869i
\(429\) −3.07901e6 −0.807732
\(430\) 497989. 888588.i 0.129882 0.231755i
\(431\) −2.57203e6 −0.666933 −0.333466 0.942762i \(-0.608218\pi\)
−0.333466 + 0.942762i \(0.608218\pi\)
\(432\) 2.15179e6 + 9.42759e6i 0.554740 + 2.43048i
\(433\) 4.83142e6 + 4.48290e6i 1.23838 + 1.14905i 0.983273 + 0.182139i \(0.0583020\pi\)
0.255110 + 0.966912i \(0.417888\pi\)
\(434\) −2.95121e6 + 1.42123e6i −0.752100 + 0.362192i
\(435\) −274033. + 41303.9i −0.0694352 + 0.0104657i
\(436\) 1.31110e6 2.27089e6i 0.330307 0.572109i
\(437\) 366960. + 635593.i 0.0919211 + 0.159212i
\(438\) 4.44036e6 + 5.56804e6i 1.10594 + 1.38681i
\(439\) 343215. + 4.57988e6i 0.0849972 + 1.13421i 0.862747 + 0.505635i \(0.168742\pi\)
−0.777750 + 0.628574i \(0.783639\pi\)
\(440\) 898167. + 2.28849e6i 0.221170 + 0.563531i
\(441\) −193869. 93362.4i −0.0474692 0.0228600i
\(442\) 9.08739e6 + 2.80309e6i 2.21250 + 0.682466i
\(443\) 982538. 2.50346e6i 0.237870 0.606083i −0.761231 0.648481i \(-0.775405\pi\)
0.999101 + 0.0423980i \(0.0134998\pi\)
\(444\) −4.06144e6 + 3.76847e6i −0.977739 + 0.907210i
\(445\) −620382. 422970.i −0.148511 0.101253i
\(446\) −615813. + 772205.i −0.146593 + 0.183821i
\(447\) −3.53538e6 532873.i −0.836888 0.126140i
\(448\) −7.01937e6 + 2.16519e6i −1.65235 + 0.509684i
\(449\) 167438. 2.23431e6i 0.0391957 0.523031i −0.942704 0.333630i \(-0.891726\pi\)
0.981900 0.189401i \(-0.0606545\pi\)
\(450\) 4.87413e6 3.32313e6i 1.13466 0.773598i
\(451\) −187491. + 821450.i −0.0434048 + 0.190169i
\(452\) 1.76353e6 7.72652e6i 0.406009 1.77884i
\(453\) 680052. 463652.i 0.155703 0.106156i
\(454\) −33045.0 + 440955.i −0.00752431 + 0.100405i
\(455\) 617263. 190400.i 0.139779 0.0431161i
\(456\) 5.78540e6 + 872008.i 1.30293 + 0.196385i
\(457\) −99521.2 + 124796.i −0.0222908 + 0.0279517i −0.792852 0.609414i \(-0.791405\pi\)
0.770561 + 0.637366i \(0.219976\pi\)
\(458\) 4.25364e6 + 2.90008e6i 0.947538 + 0.646020i
\(459\) −3.34833e6 + 3.10679e6i −0.741816 + 0.688305i
\(460\) 118638. 302285.i 0.0261415 0.0666074i
\(461\) 3.45579e6 + 1.06597e6i 0.757348 + 0.233611i 0.649297 0.760535i \(-0.275063\pi\)
0.108050 + 0.994145i \(0.465539\pi\)
\(462\) 5.63598e6 + 2.71415e6i 1.22847 + 0.591600i
\(463\) −211020. 537671.i −0.0457480 0.116564i 0.906173 0.422906i \(-0.138990\pi\)
−0.951921 + 0.306342i \(0.900895\pi\)
\(464\) 968842. + 1.29283e7i 0.208909 + 2.78770i
\(465\) −95561.7 119831.i −0.0204952 0.0257001i
\(466\) 4.15055e6 + 7.18896e6i 0.885402 + 1.53356i
\(467\) 3.36929e6 5.83579e6i 0.714902 1.23825i −0.248095 0.968736i \(-0.579805\pi\)
0.962997 0.269511i \(-0.0868620\pi\)
\(468\) −9.45500e6 + 1.42511e6i −1.99548 + 0.300770i
\(469\) −6.78197e6 + 3.26602e6i −1.42372 + 0.685626i
\(470\) −315152. 292418.i −0.0658075 0.0610604i
\(471\) −636849. 2.79022e6i −0.132277 0.579543i
\(472\) −1.60940e7 −3.32513
\(473\) 1.71236e6 + 7.08363e6i 0.351919 + 1.45581i
\(474\) 5.39710e6 1.10335
\(475\) −983451. 4.30878e6i −0.199995 0.876234i
\(476\) −1.01411e7 9.40960e6i −2.05149 1.90350i
\(477\) −5.54750e6 + 2.67154e6i −1.11635 + 0.537607i
\(478\) 668436. 100750.i 0.133810 0.0201687i
\(479\) 1.13074e6 1.95849e6i 0.225176 0.390017i −0.731196 0.682167i \(-0.761038\pi\)
0.956372 + 0.292151i \(0.0943709\pi\)
\(480\) −443611. 768356.i −0.0878818 0.152216i
\(481\) −3.56427e6 4.46946e6i −0.702438 0.880830i
\(482\) −1631.51 21771.0i −0.000319869 0.00426836i
\(483\) −182151. 464112.i −0.0355273 0.0905222i
\(484\) −1.45551e7 7.00939e6i −2.82425 1.36009i
\(485\) −1.10805e6 341788.i −0.213897 0.0659784i
\(486\) 3.68480e6 9.38872e6i 0.707658 1.80308i
\(487\) 2.38975e6 2.21737e6i 0.456594 0.423657i −0.418049 0.908424i \(-0.637286\pi\)
0.874643 + 0.484767i \(0.161096\pi\)
\(488\) −2.94719e6 2.00936e6i −0.560220 0.381951i
\(489\) −247041. + 309779.i −0.0467193 + 0.0585841i
\(490\) 98505.6 + 14847.3i 0.0185341 + 0.00279356i
\(491\) 5.60052e6 1.72753e6i 1.04839 0.323387i 0.277751 0.960653i \(-0.410411\pi\)
0.770644 + 0.637266i \(0.219935\pi\)
\(492\) 66303.1 884754.i 0.0123487 0.164782i
\(493\) −5.05974e6 + 3.44967e6i −0.937586 + 0.639235i
\(494\) −2.22624e6 + 9.75382e6i −0.410446 + 1.79828i
\(495\) 192085. 841580.i 0.0352355 0.154377i
\(496\) −5.92429e6 + 4.03911e6i −1.08127 + 0.737194i
\(497\) 460269. 6.14187e6i 0.0835836 1.11535i
\(498\) −6.43200e6 + 1.98401e6i −1.16218 + 0.358485i
\(499\) 1.29919e6 + 195822.i 0.233573 + 0.0352055i 0.264786 0.964307i \(-0.414699\pi\)
−0.0312126 + 0.999513i \(0.509937\pi\)
\(500\) −2.46341e6 + 3.08902e6i −0.440669 + 0.552581i
\(501\) 2.60533e6 + 1.77628e6i 0.463733 + 0.316168i
\(502\) 2.60927e6 2.42105e6i 0.462125 0.428790i
\(503\) −179162. + 456497.i −0.0315737 + 0.0804485i −0.945791 0.324776i \(-0.894711\pi\)
0.914217 + 0.405224i \(0.132806\pi\)
\(504\) 1.12010e7 + 3.45506e6i 1.96418 + 0.605869i
\(505\) 98280.5 + 47329.4i 0.0171490 + 0.00825853i
\(506\) 1.18543e6 + 3.02041e6i 0.205825 + 0.524433i
\(507\) 32343.2 + 431590.i 0.00558809 + 0.0745679i
\(508\) 1.06469e7 + 1.33508e7i 1.83047 + 2.29534i
\(509\) −5.58579e6 9.67488e6i −0.955631 1.65520i −0.732917 0.680319i \(-0.761841\pi\)
−0.222715 0.974884i \(-0.571492\pi\)
\(510\) 452021. 782923.i 0.0769543 0.133289i
\(511\) 1.05702e7 1.59320e6i 1.79074 0.269910i
\(512\) 5.87873e6 2.83105e6i 0.991080 0.477279i
\(513\) −3.52253e6 3.26843e6i −0.590965 0.548335i
\(514\) −1.78254e6 7.80983e6i −0.297599 1.30387i
\(515\) 1.58668e6 0.263617
\(516\) −2.89471e6 7.10704e6i −0.478608 1.17507i
\(517\) 3.07583e6 0.506100
\(518\) 2.58441e6 + 1.13230e7i 0.423192 + 1.85412i
\(519\) −3.38750e6 3.14314e6i −0.552027 0.512206i
\(520\) 2.40655e6 1.15893e6i 0.390289 0.187953i
\(521\) 1.39936e6 210919.i 0.225857 0.0340425i −0.0351385 0.999382i \(-0.511187\pi\)
0.260996 + 0.965340i \(0.415949\pi\)
\(522\) 4.29961e6 7.44715e6i 0.690642 1.19623i
\(523\) −1.99816e6 3.46092e6i −0.319431 0.553270i 0.660939 0.750440i \(-0.270158\pi\)
−0.980369 + 0.197170i \(0.936825\pi\)
\(524\) −5.74001e6 7.19774e6i −0.913239 1.14517i
\(525\) 224368. + 2.99398e6i 0.0355273 + 0.474079i
\(526\) 901399. + 2.29673e6i 0.142054 + 0.361947i
\(527\) −3.05145e6 1.46950e6i −0.478607 0.230485i
\(528\) 1.30847e7 + 4.03610e6i 2.04258 + 0.630053i
\(529\) −2.25698e6 + 5.75069e6i −0.350662 + 0.893471i
\(530\) 2.08960e6 1.93886e6i 0.323127 0.299818i
\(531\) 4.66910e6 + 3.18334e6i 0.718616 + 0.489944i
\(532\) 9.07420e6 1.13787e7i 1.39005 1.74306i
\(533\) 905224. + 136441.i 0.138019 + 0.0208030i
\(534\) −7.54913e6 + 2.32860e6i −1.14563 + 0.353380i
\(535\) −16208.9 + 216293.i −0.00244833 + 0.0326706i
\(536\) −2.57176e7 + 1.75339e7i −3.86650 + 2.63613i
\(537\) 339911. 1.48925e6i 0.0508662 0.222859i
\(538\) 1.32730e6 5.81527e6i 0.197703 0.866192i
\(539\) −588873. + 401487.i −0.0873071 + 0.0595250i
\(540\) −158889. + 2.12022e6i −0.0234482 + 0.312894i
\(541\) −8.79503e6 + 2.71291e6i −1.29195 + 0.398512i −0.863177 0.504902i \(-0.831529\pi\)
−0.428769 + 0.903414i \(0.641053\pi\)
\(542\) 9.07592e6 + 1.36797e6i 1.32707 + 0.200023i
\(543\) −1.62463e6 + 2.03722e6i −0.236459 + 0.296510i
\(544\) −1.61987e7 1.10441e7i −2.34683 1.60004i
\(545\) 188542. 174941.i 0.0271905 0.0252291i
\(546\) 2.48304e6 6.32669e6i 0.356453 0.908228i
\(547\) 6.01324e6 + 1.85484e6i 0.859290 + 0.265056i 0.692926 0.721008i \(-0.256321\pi\)
0.166364 + 0.986064i \(0.446797\pi\)
\(548\) 2.67730e7 + 1.28932e7i 3.80843 + 1.83404i
\(549\) 457578. + 1.16589e6i 0.0647939 + 0.165092i
\(550\) −1.46017e6 1.94847e7i −0.205825 2.74654i
\(551\) −4.01679e6 5.03689e6i −0.563638 0.706779i
\(552\) −1.03081e6 1.78542e6i −0.143990 0.249398i
\(553\) 4.05045e6 7.01558e6i 0.563236 0.975553i
\(554\) −2.05515e7 + 3.09764e6i −2.84491 + 0.428802i
\(555\) −489626. + 235792.i −0.0674733 + 0.0324934i
\(556\) −2.87392e6 2.66661e6i −0.394265 0.365824i
\(557\) −249676. 1.09390e6i −0.0340987 0.149396i 0.955013 0.296565i \(-0.0958411\pi\)
−0.989111 + 0.147169i \(0.952984\pi\)
\(558\) 4.75590e6 0.646617
\(559\) 7.53574e6 2.43041e6i 1.01999 0.328965i
\(560\) −2.87274e6 −0.387102
\(561\) 1.43925e6 + 6.30577e6i 0.193076 + 0.845923i
\(562\) −5.90223e6 5.47647e6i −0.788271 0.731408i
\(563\) −2.75601e6 + 1.32722e6i −0.366446 + 0.176471i −0.608040 0.793906i \(-0.708044\pi\)
0.241594 + 0.970377i \(0.422330\pi\)
\(564\) −3.20269e6 + 482727.i −0.423952 + 0.0639005i
\(565\) 388678. 673210.i 0.0512235 0.0887217i
\(566\) 1.09312e7 + 1.89334e7i 1.43425 + 2.48420i
\(567\) −1.40100e6 1.75679e6i −0.183012 0.229490i
\(568\) −1.90323e6 2.53968e7i −0.247525 3.30299i
\(569\) −266105. 678024.i −0.0344566 0.0877939i 0.912610 0.408832i \(-0.134064\pi\)
−0.947066 + 0.321038i \(0.895968\pi\)
\(570\) 856890. + 412656.i 0.110468 + 0.0531988i
\(571\) 3.57153e6 + 1.10167e6i 0.458420 + 0.141404i 0.515360 0.856974i \(-0.327658\pi\)
−0.0569399 + 0.998378i \(0.518134\pi\)
\(572\) −1.15706e7 + 2.94814e7i −1.47865 + 3.76754i
\(573\) 601167. 557802.i 0.0764907 0.0709730i
\(574\) −1.53670e6 1.04770e6i −0.194675 0.132727i
\(575\) −970980. + 1.21757e6i −0.122473 + 0.153576i
\(576\) 1.05463e7 + 1.58959e6i 1.32447 + 0.199632i
\(577\) −1.83838e6 + 567064.i −0.229877 + 0.0709076i −0.407554 0.913181i \(-0.633618\pi\)
0.177677 + 0.984089i \(0.443142\pi\)
\(578\) 366529. 4.89100e6i 0.0456341 0.608945i
\(579\) 863362. 588631.i 0.107028 0.0729703i
\(580\) −634305. + 2.77907e6i −0.0782939 + 0.343028i
\(581\) −2.24815e6 + 9.84981e6i −0.276303 + 1.21056i
\(582\) −1.00804e7 + 6.87273e6i −1.23359 + 0.841050i
\(583\) −1.52405e6 + 2.03371e7i −0.185707 + 2.47809i
\(584\) 4.22380e7 1.30287e7i 5.12474 1.58077i
\(585\) −927407. 139784.i −0.112042 0.0168876i
\(586\) −1.18831e7 + 1.49010e7i −1.42951 + 1.79255i
\(587\) −3.45834e6 2.35786e6i −0.414259 0.282437i 0.338202 0.941073i \(-0.390181\pi\)
−0.752462 + 0.658636i \(0.771134\pi\)
\(588\) 550149. 510464.i 0.0656201 0.0608866i
\(589\) 1.30173e6 3.31676e6i 0.154608 0.393936i
\(590\) −2.49995e6 771133.i −0.295666 0.0912009i
\(591\) 239967. + 115562.i 0.0282607 + 0.0136096i
\(592\) 9.28816e6 + 2.36658e7i 1.08924 + 2.77535i
\(593\) −540347. 7.21043e6i −0.0631010 0.842024i −0.935522 0.353269i \(-0.885070\pi\)
0.872421 0.488755i \(-0.162549\pi\)
\(594\) −1.32457e7 1.66096e7i −1.54032 1.93150i
\(595\) −678471. 1.17515e6i −0.0785667 0.136082i
\(596\) −1.83878e7 + 3.18486e7i −2.12038 + 3.67261i
\(597\) 3.58270e6 540005.i 0.411410 0.0620100i
\(598\) 3.17622e6 1.52959e6i 0.363210 0.174913i
\(599\) −2.58488e6 2.39842e6i −0.294356 0.273123i 0.519145 0.854686i \(-0.326251\pi\)
−0.813501 + 0.581564i \(0.802441\pi\)
\(600\) 2.76258e6 + 1.21036e7i 0.313283 + 1.37258i
\(601\) −3.11542e6 −0.351828 −0.175914 0.984406i \(-0.556288\pi\)
−0.175914 + 0.984406i \(0.556288\pi\)
\(602\) −1.59362e7 2.19401e6i −1.79223 0.246744i
\(603\) 1.09292e7 1.22404
\(604\) −1.88388e6 8.25383e6i −0.210117 0.920583i
\(605\) −1.16158e6 1.07779e6i −0.129021 0.119714i
\(606\) 1.03406e6 497978.i 0.114384 0.0550844i
\(607\) 3.35999e6 506438.i 0.370141 0.0557897i 0.0386618 0.999252i \(-0.487691\pi\)
0.331479 + 0.943463i \(0.392452\pi\)
\(608\) 1.03127e7 1.78620e7i 1.13139 1.95962i
\(609\) 2.18828e6 + 3.79021e6i 0.239089 + 0.414115i
\(610\) −361523. 453335.i −0.0393379 0.0493282i
\(611\) −249737. 3.33251e6i −0.0270633 0.361135i
\(612\) 7.33826e6 + 1.86976e7i 0.791980 + 2.01793i
\(613\) 7.79725e6 + 3.75496e6i 0.838090 + 0.403603i 0.803143 0.595786i \(-0.203160\pi\)
0.0349467 + 0.999389i \(0.488874\pi\)
\(614\) 2.63346e7 + 8.12313e6i 2.81906 + 0.869566i
\(615\) 31794.1 81009.9i 0.00338968 0.00863675i
\(616\) 2.84607e7 2.64077e7i 3.02200 2.80400i
\(617\) −2.84373e6 1.93882e6i −0.300729 0.205034i 0.403549 0.914958i \(-0.367777\pi\)
−0.704278 + 0.709925i \(0.748729\pi\)
\(618\) 1.04088e7 1.30522e7i 1.09630 1.37471i
\(619\) 6.38787e6 + 962816.i 0.670084 + 0.100999i 0.475268 0.879841i \(-0.342351\pi\)
0.194816 + 0.980840i \(0.437589\pi\)
\(620\) −1.50648e6 + 464688.i −0.157393 + 0.0485493i
\(621\) −126536. + 1.68851e6i −0.0131670 + 0.175701i
\(622\) −2.70855e7 + 1.84666e7i −2.80712 + 1.91386i
\(623\) −2.63862e6 + 1.15605e7i −0.272368 + 1.19332i
\(624\) 3.31053e6 1.45044e7i 0.340358 1.49120i
\(625\) 7.58682e6 5.17260e6i 0.776890 0.529675i
\(626\) −850823. + 1.13534e7i −0.0867767 + 1.15796i
\(627\) −6.50214e6 + 2.00564e6i −0.660522 + 0.203744i
\(628\) −2.91094e7 4.38754e6i −2.94533 0.443938i
\(629\) −7.48731e6 + 9.38879e6i −0.754570 + 0.946200i
\(630\) 1.57436e6 + 1.07338e6i 0.158035 + 0.107746i
\(631\) 1.08642e7 1.00805e7i 1.08623 1.00788i 0.0863001 0.996269i \(-0.472496\pi\)
0.999933 0.0116075i \(-0.00369486\pi\)
\(632\) 1.22380e7 3.11819e7i 1.21876 3.10534i
\(633\) 757496. + 233656.i 0.0751400 + 0.0231776i
\(634\) −1.20235e7 5.79024e6i −1.18798 0.572101i
\(635\) 611928. + 1.55917e6i 0.0602235 + 0.153447i
\(636\) −1.60483e6 2.14150e7i −0.157321 2.09931i
\(637\) 482804. + 605417.i 0.0471436 + 0.0591162i
\(638\) −1.42412e7 2.46665e7i −1.38514 2.39914i
\(639\) −4.47125e6 + 7.74443e6i −0.433188 + 0.750304i
\(640\) −1.30353e6 + 196476.i −0.125797 + 0.0189609i
\(641\) 854259. 411389.i 0.0821191 0.0395465i −0.392373 0.919806i \(-0.628346\pi\)
0.474493 + 0.880260i \(0.342632\pi\)
\(642\) 1.67291e6 + 1.55223e6i 0.160190 + 0.148634i
\(643\) 2.21208e6 + 9.69175e6i 0.210996 + 0.924432i 0.963892 + 0.266293i \(0.0857989\pi\)
−0.752897 + 0.658139i \(0.771344\pi\)
\(644\) −5.12836e6 −0.487263
\(645\) −65842.1 749824.i −0.00623167 0.0709676i
\(646\) 2.10163e7 1.98142
\(647\) −2.90389e6 1.27228e7i −0.272721 1.19487i −0.906786 0.421590i \(-0.861472\pi\)
0.634065 0.773280i \(-0.281385\pi\)
\(648\) −6.81115e6 6.31983e6i −0.637211 0.591245i
\(649\) 1.68638e7 8.12117e6i 1.57160 0.756845i
\(650\) −2.09921e7 + 3.16405e6i −1.94883 + 0.293738i
\(651\) −1.21025e6 + 2.09622e6i −0.111924 + 0.193858i
\(652\) 2.03777e6 + 3.52952e6i 0.187731 + 0.325160i
\(653\) −1.04701e7 1.31290e7i −0.960873 1.20490i −0.978750 0.205056i \(-0.934262\pi\)
0.0178774 0.999840i \(-0.494309\pi\)
\(654\) −202231. 2.69859e6i −0.0184886 0.246713i
\(655\) −329906. 840588.i −0.0300461 0.0765561i
\(656\) −3.66804e6 1.76643e6i −0.332793 0.160265i
\(657\) −1.48309e7 4.57473e6i −1.34046 0.413478i
\(658\) −2.48048e6 + 6.32016e6i −0.223342 + 0.569067i
\(659\) −1.11342e7 + 1.03310e7i −0.998723 + 0.926679i −0.997308 0.0733197i \(-0.976641\pi\)
−0.00141425 + 0.999999i \(0.500450\pi\)
\(660\) 2.48757e6 + 1.69600e6i 0.222288 + 0.151553i
\(661\) −1.24849e7 + 1.56556e7i −1.11143 + 1.39369i −0.201222 + 0.979546i \(0.564491\pi\)
−0.910210 + 0.414147i \(0.864080\pi\)
\(662\) 270492. + 40770.1i 0.0239888 + 0.00361574i
\(663\) 6.71514e6 2.07135e6i 0.593296 0.183007i
\(664\) −3.12197e6 + 4.16598e7i −0.274795 + 3.66688i
\(665\) 1.17949e6 804161.i 0.103428 0.0705162i
\(666\) 3.75236e6 1.64401e7i 0.327807 1.43622i
\(667\) −505149. + 2.21320e6i −0.0439648 + 0.192622i
\(668\) 2.67984e7 1.82708e7i 2.32363 1.58423i
\(669\) −54542.0 + 727813.i −0.00471157 + 0.0628716i
\(670\) −4.83495e6 + 1.49139e6i −0.416107 + 0.128352i
\(671\) 4.10209e6 + 618291.i 0.351722 + 0.0530135i
\(672\) −8.73601e6 + 1.09546e7i −0.746260 + 0.935780i
\(673\) 1.29539e7 + 8.83179e6i 1.10246 + 0.751642i 0.970857 0.239661i \(-0.0770363\pi\)
0.131600 + 0.991303i \(0.457989\pi\)
\(674\) 1.97491e7 1.83245e7i 1.67455 1.55376i
\(675\) 3.72521e6 9.49169e6i 0.314696 0.801833i
\(676\) 4.25400e6 + 1.31219e6i 0.358039 + 0.110441i
\(677\) 1.03729e7 + 4.99530e6i 0.869814 + 0.418881i 0.814894 0.579610i \(-0.196795\pi\)
0.0549206 + 0.998491i \(0.482509\pi\)
\(678\) −2.98812e6 7.61360e6i −0.249645 0.636086i
\(679\) 1.36849e6 + 1.82613e7i 0.113912 + 1.52004i
\(680\) −3.49839e6 4.38685e6i −0.290133 0.363815i
\(681\) 163379. + 282981.i 0.0134999 + 0.0233824i
\(682\) 7.87626e6 1.36421e7i 0.648424 1.12310i
\(683\) −221285. + 33353.4i −0.0181510 + 0.00273582i −0.158111 0.987421i \(-0.550541\pi\)
0.139960 + 0.990157i \(0.455302\pi\)
\(684\) −1.90384e7 + 9.16843e6i −1.55593 + 0.749298i
\(685\) 2.13664e6 + 1.98251e6i 0.173982 + 0.161432i
\(686\) −5.31203e6 2.32735e7i −0.430974 1.88822i
\(687\) 3.80427e6 0.307524
\(688\) −3.52102e7 + 450207.i −2.83594 + 0.0362611i
\(689\) 2.21580e7 1.77821
\(690\) −74573.7 326729.i −0.00596297 0.0261255i
\(691\) −8.12699e6 7.54075e6i −0.647493 0.600785i 0.286499 0.958081i \(-0.407509\pi\)
−0.933992 + 0.357295i \(0.883699\pi\)
\(692\) −4.28253e7 + 2.06236e7i −3.39965 + 1.63719i
\(693\) −1.34802e7 + 2.03182e6i −1.06626 + 0.160713i
\(694\) −7.24719e6 + 1.25525e7i −0.571177 + 0.989308i
\(695\) −192274. 333028.i −0.0150993 0.0261528i
\(696\) 1.12834e7 + 1.41490e7i 0.882912 + 1.10714i
\(697\) −143709. 1.91767e6i −0.0112048 0.149517i
\(698\) 5.86071e6 + 1.49328e7i 0.455314 + 1.16012i
\(699\) 5.52664e6 + 2.66149e6i 0.427827 + 0.206031i
\(700\) 2.95104e7 + 9.10275e6i 2.27630 + 0.702146i
\(701\) −736689. + 1.87705e6i −0.0566225 + 0.144272i −0.956386 0.292106i \(-0.905644\pi\)
0.899763 + 0.436378i \(0.143739\pi\)
\(702\) −1.69203e7 + 1.56997e7i −1.29588 + 1.20240i
\(703\) −1.04383e7 7.11670e6i −0.796601 0.543113i
\(704\) 2.20254e7 2.76190e7i 1.67491 2.10027i
\(705\) −314140. 47349.0i −0.0238040 0.00358788i
\(706\) 2.58507e6 797390.i 0.195192 0.0602087i
\(707\) 128738. 1.71788e6i 0.00968627 0.129254i
\(708\) −1.62847e7 + 1.11027e7i −1.22095 + 0.832429i
\(709\) −2.44001e6 + 1.06904e7i −0.182295 + 0.798688i 0.798239 + 0.602341i \(0.205765\pi\)
−0.980534 + 0.196347i \(0.937092\pi\)
\(710\) 921234. 4.03619e6i 0.0685842 0.300487i
\(711\) −9.71810e6 + 6.62569e6i −0.720953 + 0.491538i
\(712\) −3.66420e6 + 4.88954e7i −0.270882 + 3.61467i
\(713\) −1.19974e6 + 370070.i −0.0883816 + 0.0272621i
\(714\) −1.41177e7 2.12789e6i −1.03638 0.156208i
\(715\) −1.93685e6 + 2.42873e6i −0.141687 + 0.177670i
\(716\) −1.29821e7 8.85106e6i −0.946375 0.645228i
\(717\) 366175. 339761.i 0.0266005 0.0246817i
\(718\) 1.41333e7 3.60111e7i 1.02313 2.60690i
\(719\) 1.22047e7 + 3.76465e6i 0.880449 + 0.271583i 0.701838 0.712337i \(-0.252363\pi\)
0.178612 + 0.983920i \(0.442839\pi\)
\(720\) 3.75793e6 + 1.80972e6i 0.270157 + 0.130101i
\(721\) −9.15464e6 2.33256e7i −0.655848 1.67107i
\(722\) −311992. 4.16324e6i −0.0222741 0.297227i
\(723\) −10058.7 12613.1i −0.000715639 0.000897383i
\(724\) 1.34011e7 + 2.32114e7i 0.950156 + 1.64572i
\(725\) 6.83521e6 1.18389e7i 0.482955 0.836503i
\(726\) −1.64861e7 + 2.48487e6i −1.16085 + 0.174970i
\(727\) 1.42299e7 6.85276e6i 0.998541 0.480872i 0.138098 0.990419i \(-0.455901\pi\)
0.860443 + 0.509547i \(0.170187\pi\)
\(728\) −3.09223e7 2.86917e7i −2.16243 2.00644i
\(729\) −686314. 3.00694e6i −0.0478304 0.209559i
\(730\) 7.18528e6 0.499042
\(731\) −8.49995e6 1.42970e7i −0.588333 0.989584i
\(732\) −4.36831e6 −0.301325
\(733\) 40176.5 + 176025.i 0.00276193 + 0.0121008i 0.976290 0.216466i \(-0.0694531\pi\)
−0.973528 + 0.228567i \(0.926596\pi\)
\(734\) 1.96585e7 + 1.82404e7i 1.34682 + 1.24967i
\(735\) 66323.1 31939.5i 0.00452842 0.00218077i
\(736\) −7.18657e6 + 1.08320e6i −0.489021 + 0.0737080i
\(737\) 1.80999e7 3.13499e7i 1.22746 2.12602i
\(738\) 1.35019e6 + 2.33860e6i 0.0912546 + 0.158058i
\(739\) −8.83775e6 1.10822e7i −0.595293 0.746473i 0.389343 0.921093i \(-0.372702\pi\)
−0.984636 + 0.174619i \(0.944131\pi\)
\(740\) 417731. + 5.57423e6i 0.0280425 + 0.374202i
\(741\) 2.70095e6 + 6.88191e6i 0.180705 + 0.460430i
\(742\) −4.05592e7 1.95323e7i −2.70445 1.30240i
\(743\) 1.70940e7 + 5.27280e6i 1.13598 + 0.350404i 0.805025 0.593241i \(-0.202152\pi\)
0.330958 + 0.943646i \(0.392628\pi\)
\(744\) −3.65665e6 + 9.31698e6i −0.242187 + 0.617082i
\(745\) −2.64426e6 + 2.45351e6i −0.174547 + 0.161956i
\(746\) 3.06364e7 + 2.08875e7i 2.01554 + 1.37417i
\(747\) 9.14591e6 1.14686e7i 0.599688 0.751985i
\(748\) 6.57860e7 + 9.91565e6i 4.29912 + 0.647988i
\(749\) 3.27321e6 1.00965e6i 0.213191 0.0657608i
\(750\) −304714. + 4.06612e6i −0.0197806 + 0.263953i
\(751\) −4.36944e6 + 2.97903e6i −0.282700 + 0.192742i −0.696366 0.717687i \(-0.745201\pi\)
0.413665 + 0.910429i \(0.364248\pi\)
\(752\) −3.30711e6 + 1.44894e7i −0.213257 + 0.934342i
\(753\) 585290. 2.56432e6i 0.0376170 0.164811i
\(754\) −2.55687e7 + 1.74324e7i −1.63787 + 1.11668i