Properties

Label 63.4.o.a.20.4
Level $63$
Weight $4$
Character 63.20
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 20.4
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.38393 - 1.95371i) q^{2} +(4.35656 - 2.83202i) q^{3} +(3.63397 + 6.29422i) q^{4} +(-5.82670 - 10.0921i) q^{5} +(-20.2752 + 1.07189i) q^{6} +(17.1417 - 7.01157i) q^{7} +2.86048i q^{8} +(10.9593 - 24.6758i) q^{9} +O(q^{10})\) \(q+(-3.38393 - 1.95371i) q^{2} +(4.35656 - 2.83202i) q^{3} +(3.63397 + 6.29422i) q^{4} +(-5.82670 - 10.0921i) q^{5} +(-20.2752 + 1.07189i) q^{6} +(17.1417 - 7.01157i) q^{7} +2.86048i q^{8} +(10.9593 - 24.6758i) q^{9} +45.5347i q^{10} +(-41.2999 - 23.8445i) q^{11} +(33.6570 + 17.1297i) q^{12} +(-60.2061 + 34.7600i) q^{13} +(-71.7048 - 9.76328i) q^{14} +(-53.9655 - 27.4657i) q^{15} +(34.6603 - 60.0334i) q^{16} -25.6583 q^{17} +(-85.2948 + 62.0897i) q^{18} +41.1363i q^{19} +(42.3481 - 73.3490i) q^{20} +(54.8220 - 79.0920i) q^{21} +(93.1705 + 161.376i) q^{22} +(145.611 - 84.0685i) q^{23} +(8.10093 + 12.4618i) q^{24} +(-5.40080 + 9.35446i) q^{25} +271.644 q^{26} +(-22.1374 - 138.539i) q^{27} +(106.425 + 82.4138i) q^{28} +(28.2286 + 16.2978i) q^{29} +(128.955 + 198.375i) q^{30} +(148.499 - 85.7361i) q^{31} +(-214.758 + 123.990i) q^{32} +(-247.454 + 13.0821i) q^{33} +(86.8259 + 50.1290i) q^{34} +(-170.641 - 132.142i) q^{35} +(195.140 - 20.6908i) q^{36} -3.86757 q^{37} +(80.3685 - 139.202i) q^{38} +(-163.851 + 321.939i) q^{39} +(28.8683 - 16.6671i) q^{40} +(168.733 + 292.255i) q^{41} +(-340.036 + 160.535i) q^{42} +(207.351 - 359.142i) q^{43} -346.601i q^{44} +(-312.888 + 33.1755i) q^{45} -656.982 q^{46} +(74.3856 - 128.840i) q^{47} +(-19.0161 - 359.698i) q^{48} +(244.676 - 240.380i) q^{49} +(36.5518 - 21.1032i) q^{50} +(-111.782 + 72.6650i) q^{51} +(-437.574 - 252.633i) q^{52} -59.7358i q^{53} +(-195.753 + 512.054i) q^{54} +555.739i q^{55} +(20.0564 + 49.0334i) q^{56} +(116.499 + 179.213i) q^{57} +(-63.6824 - 110.301i) q^{58} +(282.056 + 488.535i) q^{59} +(-23.2340 - 439.480i) q^{60} +(-571.656 - 330.046i) q^{61} -670.014 q^{62} +(14.8451 - 499.827i) q^{63} +414.401 q^{64} +(701.605 + 405.072i) q^{65} +(862.924 + 439.184i) q^{66} +(145.989 + 252.861i) q^{67} +(-93.2416 - 161.499i) q^{68} +(396.280 - 778.623i) q^{69} +(319.270 + 780.542i) q^{70} -3.05665i q^{71} +(70.5845 + 31.3488i) q^{72} -506.596i q^{73} +(13.0876 + 7.55611i) q^{74} +(2.96311 + 56.0485i) q^{75} +(-258.921 + 149.488i) q^{76} +(-875.138 - 119.158i) q^{77} +(1183.43 - 769.302i) q^{78} +(-96.6430 + 167.391i) q^{79} -807.820 q^{80} +(-488.788 - 540.858i) q^{81} -1318.62i q^{82} +(-216.246 + 374.550i) q^{83} +(697.044 + 57.6436i) q^{84} +(149.503 + 258.947i) q^{85} +(-1403.32 + 810.206i) q^{86} +(169.136 - 8.94167i) q^{87} +(68.2066 - 118.137i) q^{88} +924.591 q^{89} +(1123.60 + 499.029i) q^{90} +(-788.312 + 1017.98i) q^{91} +(1058.29 + 611.005i) q^{92} +(404.140 - 794.068i) q^{93} +(-503.430 + 290.656i) q^{94} +(415.154 - 239.689i) q^{95} +(-584.462 + 1148.37i) q^{96} +(943.401 + 544.673i) q^{97} +(-1297.60 + 335.404i) q^{98} +(-1041.00 + 757.788i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} + O(q^{10}) \) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} - 18q^{11} + 204q^{14} + 66q^{15} - 242q^{16} - 210q^{18} - 57q^{21} - 34q^{22} - 102q^{23} - 352q^{25} + 300q^{28} + 246q^{29} - 144q^{30} + 1068q^{32} - 1818q^{36} + 328q^{37} - 798q^{39} - 1158q^{42} - 170q^{43} + 968q^{46} - 79q^{49} + 288q^{50} - 204q^{51} + 1212q^{56} + 324q^{57} - 538q^{58} + 5316q^{60} + 783q^{63} - 808q^{64} + 4350q^{65} - 590q^{67} + 384q^{70} + 4284q^{72} - 5304q^{74} - 2787q^{77} + 612q^{78} - 302q^{79} - 3720q^{81} + 7050q^{84} - 612q^{85} - 13692q^{86} + 1294q^{88} + 210q^{91} - 10194q^{92} - 4266q^{93} + 6336q^{95} + 1014q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.38393 1.95371i −1.19640 0.690741i −0.236648 0.971595i \(-0.576049\pi\)
−0.959750 + 0.280855i \(0.909382\pi\)
\(3\) 4.35656 2.83202i 0.838421 0.545023i
\(4\) 3.63397 + 6.29422i 0.454246 + 0.786777i
\(5\) −5.82670 10.0921i −0.521156 0.902668i −0.999697 0.0246032i \(-0.992168\pi\)
0.478542 0.878065i \(-0.341166\pi\)
\(6\) −20.2752 + 1.07189i −1.37956 + 0.0729328i
\(7\) 17.1417 7.01157i 0.925565 0.378589i
\(8\) 2.86048i 0.126416i
\(9\) 10.9593 24.6758i 0.405900 0.913918i
\(10\) 45.5347i 1.43993i
\(11\) −41.2999 23.8445i −1.13203 0.653581i −0.187589 0.982248i \(-0.560067\pi\)
−0.944446 + 0.328667i \(0.893401\pi\)
\(12\) 33.6570 + 17.1297i 0.809661 + 0.412076i
\(13\) −60.2061 + 34.7600i −1.28447 + 0.741591i −0.977663 0.210179i \(-0.932595\pi\)
−0.306811 + 0.951770i \(0.599262\pi\)
\(14\) −71.7048 9.76328i −1.36885 0.186382i
\(15\) −53.9655 27.4657i −0.928923 0.472774i
\(16\) 34.6603 60.0334i 0.541567 0.938022i
\(17\) −25.6583 −0.366062 −0.183031 0.983107i \(-0.558591\pi\)
−0.183031 + 0.983107i \(0.558591\pi\)
\(18\) −85.2948 + 62.0897i −1.11690 + 0.813038i
\(19\) 41.1363i 0.496701i 0.968670 + 0.248351i \(0.0798885\pi\)
−0.968670 + 0.248351i \(0.920111\pi\)
\(20\) 42.3481 73.3490i 0.473466 0.820067i
\(21\) 54.8220 79.0920i 0.569673 0.821871i
\(22\) 93.1705 + 161.376i 0.902910 + 1.56389i
\(23\) 145.611 84.0685i 1.32009 0.762152i 0.336344 0.941739i \(-0.390809\pi\)
0.983742 + 0.179587i \(0.0574761\pi\)
\(24\) 8.10093 + 12.4618i 0.0688998 + 0.105990i
\(25\) −5.40080 + 9.35446i −0.0432064 + 0.0748357i
\(26\) 271.644 2.04899
\(27\) −22.1374 138.539i −0.157791 0.987473i
\(28\) 106.425 + 82.4138i 0.718300 + 0.556241i
\(29\) 28.2286 + 16.2978i 0.180756 + 0.104360i 0.587648 0.809117i \(-0.300054\pi\)
−0.406892 + 0.913476i \(0.633387\pi\)
\(30\) 128.955 + 198.375i 0.784797 + 1.20727i
\(31\) 148.499 85.7361i 0.860363 0.496731i −0.00377092 0.999993i \(-0.501200\pi\)
0.864134 + 0.503262i \(0.167867\pi\)
\(32\) −214.758 + 123.990i −1.18638 + 0.684957i
\(33\) −247.454 + 13.0821i −1.30534 + 0.0690092i
\(34\) 86.8259 + 50.1290i 0.437956 + 0.252854i
\(35\) −170.641 132.142i −0.824104 0.638174i
\(36\) 195.140 20.6908i 0.903428 0.0957906i
\(37\) −3.86757 −0.0171844 −0.00859222 0.999963i \(-0.502735\pi\)
−0.00859222 + 0.999963i \(0.502735\pi\)
\(38\) 80.3685 139.202i 0.343092 0.594253i
\(39\) −163.851 + 321.939i −0.672746 + 1.32183i
\(40\) 28.8683 16.6671i 0.114112 0.0658826i
\(41\) 168.733 + 292.255i 0.642725 + 1.11323i 0.984822 + 0.173568i \(0.0555295\pi\)
−0.342097 + 0.939665i \(0.611137\pi\)
\(42\) −340.036 + 160.535i −1.24926 + 0.589789i
\(43\) 207.351 359.142i 0.735364 1.27369i −0.219199 0.975680i \(-0.570344\pi\)
0.954563 0.298008i \(-0.0963223\pi\)
\(44\) 346.601i 1.18755i
\(45\) −312.888 + 33.1755i −1.03650 + 0.109900i
\(46\) −656.982 −2.10580
\(47\) 74.3856 128.840i 0.230856 0.399855i −0.727204 0.686421i \(-0.759181\pi\)
0.958060 + 0.286566i \(0.0925139\pi\)
\(48\) −19.0161 359.698i −0.0571821 1.08162i
\(49\) 244.676 240.380i 0.713340 0.700818i
\(50\) 36.5518 21.1032i 0.103384 0.0596888i
\(51\) −111.782 + 72.6650i −0.306914 + 0.199512i
\(52\) −437.574 252.633i −1.16693 0.673730i
\(53\) 59.7358i 0.154818i −0.996999 0.0774089i \(-0.975335\pi\)
0.996999 0.0774089i \(-0.0246647\pi\)
\(54\) −195.753 + 512.054i −0.493307 + 1.29040i
\(55\) 555.739i 1.36247i
\(56\) 20.0564 + 49.0334i 0.0478599 + 0.117007i
\(57\) 116.499 + 179.213i 0.270714 + 0.416445i
\(58\) −63.6824 110.301i −0.144171 0.249711i
\(59\) 282.056 + 488.535i 0.622382 + 1.07800i 0.989041 + 0.147642i \(0.0471682\pi\)
−0.366659 + 0.930355i \(0.619498\pi\)
\(60\) −23.2340 439.480i −0.0499915 0.945611i
\(61\) −571.656 330.046i −1.19989 0.692754i −0.239356 0.970932i \(-0.576936\pi\)
−0.960530 + 0.278178i \(0.910270\pi\)
\(62\) −670.014 −1.37245
\(63\) 14.8451 499.827i 0.0296874 0.999559i
\(64\) 414.401 0.809377
\(65\) 701.605 + 405.072i 1.33882 + 0.772969i
\(66\) 862.924 + 439.184i 1.60937 + 0.819088i
\(67\) 145.989 + 252.861i 0.266200 + 0.461073i 0.967877 0.251423i \(-0.0808984\pi\)
−0.701677 + 0.712495i \(0.747565\pi\)
\(68\) −93.2416 161.499i −0.166282 0.288010i
\(69\) 396.280 778.623i 0.691398 1.35848i
\(70\) 319.270 + 780.542i 0.545144 + 1.33275i
\(71\) 3.05665i 0.00510927i −0.999997 0.00255464i \(-0.999187\pi\)
0.999997 0.00255464i \(-0.000813166\pi\)
\(72\) 70.5845 + 31.3488i 0.115534 + 0.0513124i
\(73\) 506.596i 0.812227i −0.913823 0.406114i \(-0.866884\pi\)
0.913823 0.406114i \(-0.133116\pi\)
\(74\) 13.0876 + 7.55611i 0.0205594 + 0.0118700i
\(75\) 2.96311 + 56.0485i 0.00456200 + 0.0862923i
\(76\) −258.921 + 149.488i −0.390793 + 0.225625i
\(77\) −875.138 119.158i −1.29521 0.176355i
\(78\) 1183.43 769.302i 1.71792 1.11675i
\(79\) −96.6430 + 167.391i −0.137635 + 0.238391i −0.926601 0.376046i \(-0.877284\pi\)
0.788966 + 0.614437i \(0.210617\pi\)
\(80\) −807.820 −1.12896
\(81\) −488.788 540.858i −0.670490 0.741918i
\(82\) 1318.62i 1.77583i
\(83\) −216.246 + 374.550i −0.285977 + 0.495327i −0.972846 0.231454i \(-0.925652\pi\)
0.686868 + 0.726782i \(0.258985\pi\)
\(84\) 697.044 + 57.6436i 0.905402 + 0.0748742i
\(85\) 149.503 + 258.947i 0.190775 + 0.330433i
\(86\) −1403.32 + 810.206i −1.75958 + 1.01589i
\(87\) 169.136 8.94167i 0.208428 0.0110189i
\(88\) 68.2066 118.137i 0.0826233 0.143108i
\(89\) 924.591 1.10120 0.550598 0.834771i \(-0.314400\pi\)
0.550598 + 0.834771i \(0.314400\pi\)
\(90\) 1123.60 + 499.029i 1.31598 + 0.584469i
\(91\) −788.312 + 1017.98i −0.908105 + 1.17268i
\(92\) 1058.29 + 611.005i 1.19929 + 0.692409i
\(93\) 404.140 794.068i 0.450617 0.885387i
\(94\) −503.430 + 290.656i −0.552392 + 0.318924i
\(95\) 415.154 239.689i 0.448356 0.258859i
\(96\) −584.462 + 1148.37i −0.621369 + 1.22089i
\(97\) 943.401 + 544.673i 0.987503 + 0.570135i 0.904527 0.426416i \(-0.140224\pi\)
0.0829763 + 0.996552i \(0.473557\pi\)
\(98\) −1297.60 + 335.404i −1.33752 + 0.345724i
\(99\) −1041.00 + 757.788i −1.05681 + 0.769298i
\(100\) −78.5053 −0.0785053
\(101\) −168.799 + 292.369i −0.166298 + 0.288037i −0.937116 0.349019i \(-0.886515\pi\)
0.770817 + 0.637056i \(0.219848\pi\)
\(102\) 520.229 27.5029i 0.505003 0.0266979i
\(103\) −183.659 + 106.035i −0.175694 + 0.101437i −0.585268 0.810840i \(-0.699011\pi\)
0.409574 + 0.912277i \(0.365677\pi\)
\(104\) −99.4302 172.218i −0.0937493 0.162379i
\(105\) −1117.64 92.4256i −1.03877 0.0859030i
\(106\) −116.706 + 202.142i −0.106939 + 0.185224i
\(107\) 399.253i 0.360722i −0.983600 0.180361i \(-0.942273\pi\)
0.983600 0.180361i \(-0.0577266\pi\)
\(108\) 791.545 642.783i 0.705245 0.572702i
\(109\) 1847.45 1.62343 0.811714 0.584055i \(-0.198535\pi\)
0.811714 + 0.584055i \(0.198535\pi\)
\(110\) 1085.75 1880.58i 0.941113 1.63006i
\(111\) −16.8493 + 10.9530i −0.0144078 + 0.00936591i
\(112\) 173.208 1272.10i 0.146131 1.07323i
\(113\) 1101.72 636.078i 0.917177 0.529532i 0.0344435 0.999407i \(-0.489034\pi\)
0.882733 + 0.469874i \(0.155701\pi\)
\(114\) −44.0936 834.049i −0.0362258 0.685227i
\(115\) −1696.86 979.684i −1.37594 0.794400i
\(116\) 236.903i 0.189620i
\(117\) 197.913 + 1866.58i 0.156385 + 1.47492i
\(118\) 2204.22i 1.71962i
\(119\) −439.827 + 179.905i −0.338814 + 0.138587i
\(120\) 78.5650 154.367i 0.0597664 0.117431i
\(121\) 471.620 + 816.871i 0.354335 + 0.613727i
\(122\) 1289.63 + 2233.70i 0.957027 + 1.65762i
\(123\) 1562.77 + 795.370i 1.14561 + 0.583058i
\(124\) 1079.28 + 623.124i 0.781633 + 0.451276i
\(125\) −1330.80 −0.952242
\(126\) −1026.75 + 1662.37i −0.725954 + 1.17536i
\(127\) −1835.56 −1.28252 −0.641259 0.767325i \(-0.721588\pi\)
−0.641259 + 0.767325i \(0.721588\pi\)
\(128\) 315.760 + 182.304i 0.218043 + 0.125887i
\(129\) −113.761 2151.85i −0.0776444 1.46868i
\(130\) −1582.79 2741.47i −1.06784 1.84956i
\(131\) 673.698 + 1166.88i 0.449323 + 0.778250i 0.998342 0.0575597i \(-0.0183320\pi\)
−0.549019 + 0.835810i \(0.684999\pi\)
\(132\) −981.581 1509.99i −0.647240 0.995664i
\(133\) 288.430 + 705.147i 0.188046 + 0.459729i
\(134\) 1140.88i 0.735502i
\(135\) −1269.16 + 1030.64i −0.809126 + 0.657060i
\(136\) 73.3951i 0.0462763i
\(137\) −964.423 556.810i −0.601432 0.347237i 0.168173 0.985758i \(-0.446213\pi\)
−0.769605 + 0.638521i \(0.779547\pi\)
\(138\) −2862.19 + 1860.59i −1.76555 + 1.14771i
\(139\) −1140.22 + 658.307i −0.695772 + 0.401704i −0.805771 0.592228i \(-0.798249\pi\)
0.109999 + 0.993932i \(0.464915\pi\)
\(140\) 211.626 1554.25i 0.127755 0.938274i
\(141\) −40.8111 771.959i −0.0243753 0.461069i
\(142\) −5.97182 + 10.3435i −0.00352918 + 0.00611272i
\(143\) 3315.34 1.93876
\(144\) −1101.52 1513.19i −0.637452 0.875691i
\(145\) 379.850i 0.217550i
\(146\) −989.742 + 1714.28i −0.561039 + 0.971747i
\(147\) 385.183 1740.16i 0.216118 0.976367i
\(148\) −14.0546 24.3433i −0.00780596 0.0135203i
\(149\) −530.202 + 306.112i −0.291516 + 0.168307i −0.638625 0.769518i \(-0.720497\pi\)
0.347110 + 0.937825i \(0.387163\pi\)
\(150\) 99.4755 195.453i 0.0541476 0.106391i
\(151\) −1451.09 + 2513.36i −0.782040 + 1.35453i 0.148712 + 0.988881i \(0.452487\pi\)
−0.930752 + 0.365652i \(0.880846\pi\)
\(152\) −117.670 −0.0627912
\(153\) −281.197 + 633.139i −0.148585 + 0.334551i
\(154\) 2728.60 + 2112.99i 1.42777 + 1.10565i
\(155\) −1730.52 999.116i −0.896766 0.517748i
\(156\) −2621.78 + 138.605i −1.34558 + 0.0711367i
\(157\) −1163.43 + 671.708i −0.591414 + 0.341453i −0.765657 0.643250i \(-0.777586\pi\)
0.174242 + 0.984703i \(0.444252\pi\)
\(158\) 654.065 377.625i 0.329333 0.190141i
\(159\) −169.173 260.243i −0.0843793 0.129803i
\(160\) 2502.66 + 1444.91i 1.23658 + 0.713938i
\(161\) 1906.57 2462.04i 0.933283 1.20519i
\(162\) 597.340 + 2785.17i 0.289700 + 1.35076i
\(163\) 974.519 0.468284 0.234142 0.972202i \(-0.424772\pi\)
0.234142 + 0.972202i \(0.424772\pi\)
\(164\) −1226.34 + 2124.09i −0.583911 + 1.01136i
\(165\) 1573.86 + 2421.11i 0.742577 + 1.14232i
\(166\) 1463.52 844.966i 0.684286 0.395073i
\(167\) −1421.47 2462.05i −0.658661 1.14083i −0.980963 0.194197i \(-0.937790\pi\)
0.322302 0.946637i \(-0.395543\pi\)
\(168\) 226.241 + 156.817i 0.103898 + 0.0720160i
\(169\) 1318.01 2282.87i 0.599916 1.03908i
\(170\) 1168.34i 0.527106i
\(171\) 1015.07 + 450.826i 0.453944 + 0.201611i
\(172\) 3014.02 1.33615
\(173\) 1990.91 3448.36i 0.874949 1.51546i 0.0181322 0.999836i \(-0.494228\pi\)
0.856817 0.515621i \(-0.172439\pi\)
\(174\) −589.812 300.184i −0.256974 0.130787i
\(175\) −26.9894 + 198.219i −0.0116583 + 0.0856227i
\(176\) −2862.93 + 1652.91i −1.22615 + 0.707916i
\(177\) 2612.34 + 1329.55i 1.10935 + 0.564603i
\(178\) −3128.75 1806.38i −1.31747 0.760641i
\(179\) 2465.66i 1.02956i 0.857321 + 0.514782i \(0.172127\pi\)
−0.857321 + 0.514782i \(0.827873\pi\)
\(180\) −1345.84 1848.83i −0.557294 0.765574i
\(181\) 2517.90i 1.03400i 0.855986 + 0.516999i \(0.172951\pi\)
−0.855986 + 0.516999i \(0.827049\pi\)
\(182\) 4656.44 1904.65i 1.89647 0.775726i
\(183\) −3425.15 + 181.077i −1.38358 + 0.0731454i
\(184\) 240.476 + 416.517i 0.0963485 + 0.166881i
\(185\) 22.5351 + 39.0320i 0.00895576 + 0.0155118i
\(186\) −2918.96 + 1897.49i −1.15069 + 0.748016i
\(187\) 1059.69 + 611.810i 0.414395 + 0.239251i
\(188\) 1081.26 0.419462
\(189\) −1350.85 2219.57i −0.519892 0.854232i
\(190\) −1873.13 −0.715217
\(191\) −399.325 230.550i −0.151278 0.0873405i 0.422450 0.906386i \(-0.361170\pi\)
−0.573728 + 0.819046i \(0.694503\pi\)
\(192\) 1805.36 1173.59i 0.678599 0.441129i
\(193\) 1281.14 + 2219.00i 0.477815 + 0.827600i 0.999677 0.0254302i \(-0.00809554\pi\)
−0.521861 + 0.853030i \(0.674762\pi\)
\(194\) −2128.27 3686.26i −0.787632 1.36422i
\(195\) 4203.76 222.240i 1.54378 0.0816149i
\(196\) 2402.15 + 666.508i 0.875420 + 0.242896i
\(197\) 3764.93i 1.36162i 0.732458 + 0.680812i \(0.238373\pi\)
−0.732458 + 0.680812i \(0.761627\pi\)
\(198\) 5003.16 530.486i 1.79575 0.190404i
\(199\) 958.945i 0.341597i 0.985306 + 0.170799i \(0.0546347\pi\)
−0.985306 + 0.170799i \(0.945365\pi\)
\(200\) −26.7582 15.4489i −0.00946045 0.00546200i
\(201\) 1352.12 + 688.159i 0.474483 + 0.241488i
\(202\) 1142.41 659.569i 0.397918 0.229738i
\(203\) 598.160 + 81.4451i 0.206811 + 0.0281592i
\(204\) −863.582 439.519i −0.296386 0.150846i
\(205\) 1966.32 3405.76i 0.669919 1.16033i
\(206\) 828.650 0.280266
\(207\) −478.662 4514.40i −0.160721 1.51581i
\(208\) 4819.17i 1.60649i
\(209\) 980.876 1698.93i 0.324634 0.562283i
\(210\) 3601.43 + 2496.30i 1.18344 + 0.820292i
\(211\) 2018.18 + 3495.59i 0.658471 + 1.14051i 0.981012 + 0.193949i \(0.0621298\pi\)
−0.322541 + 0.946556i \(0.604537\pi\)
\(212\) 375.990 217.078i 0.121807 0.0703254i
\(213\) −8.65651 13.3165i −0.00278467 0.00428372i
\(214\) −780.025 + 1351.04i −0.249165 + 0.431567i
\(215\) −4832.68 −1.53296
\(216\) 396.286 63.3236i 0.124833 0.0199474i
\(217\) 1944.38 2510.87i 0.608265 0.785481i
\(218\) −6251.63 3609.38i −1.94227 1.12137i
\(219\) −1434.69 2207.02i −0.442682 0.680988i
\(220\) −3497.94 + 2019.54i −1.07196 + 0.618896i
\(221\) 1544.79 891.884i 0.470198 0.271469i
\(222\) 78.4158 4.14560i 0.0237069 0.00125331i
\(223\) −5069.18 2926.69i −1.52223 0.878860i −0.999655 0.0262676i \(-0.991638\pi\)
−0.522576 0.852593i \(-0.675029\pi\)
\(224\) −2811.95 + 3631.20i −0.838754 + 1.08312i
\(225\) 171.639 + 235.787i 0.0508561 + 0.0698629i
\(226\) −4970.85 −1.46308
\(227\) −3038.38 + 5262.62i −0.888388 + 1.53873i −0.0466072 + 0.998913i \(0.514841\pi\)
−0.841781 + 0.539820i \(0.818492\pi\)
\(228\) −704.653 + 1384.53i −0.204679 + 0.402160i
\(229\) 814.321 470.148i 0.234986 0.135669i −0.377884 0.925853i \(-0.623348\pi\)
0.612870 + 0.790184i \(0.290015\pi\)
\(230\) 3828.04 + 6630.35i 1.09745 + 1.90084i
\(231\) −4150.05 + 1959.29i −1.18205 + 0.558060i
\(232\) −46.6195 + 80.7473i −0.0131928 + 0.0228505i
\(233\) 3314.66i 0.931976i −0.884791 0.465988i \(-0.845699\pi\)
0.884791 0.465988i \(-0.154301\pi\)
\(234\) 2977.03 6703.02i 0.831685 1.87261i
\(235\) −1733.69 −0.481248
\(236\) −2049.96 + 3550.64i −0.565429 + 0.979352i
\(237\) 53.0224 + 1002.94i 0.0145324 + 0.274887i
\(238\) 1839.83 + 250.510i 0.501085 + 0.0682274i
\(239\) 2213.80 1278.14i 0.599158 0.345924i −0.169552 0.985521i \(-0.554232\pi\)
0.768710 + 0.639597i \(0.220899\pi\)
\(240\) −3519.32 + 2287.76i −0.946546 + 0.615311i
\(241\) −1800.75 1039.66i −0.481312 0.277886i 0.239651 0.970859i \(-0.422967\pi\)
−0.720963 + 0.692973i \(0.756300\pi\)
\(242\) 3685.64i 0.979016i
\(243\) −3661.16 972.027i −0.966516 0.256607i
\(244\) 4797.50i 1.25872i
\(245\) −3851.60 1068.68i −1.00437 0.278674i
\(246\) −3734.37 5744.67i −0.967866 1.48889i
\(247\) −1429.90 2476.66i −0.368349 0.638000i
\(248\) 245.246 + 424.779i 0.0627949 + 0.108764i
\(249\) 118.642 + 2244.16i 0.0301953 + 0.571157i
\(250\) 4503.32 + 2600.00i 1.13926 + 0.657753i
\(251\) 4718.74 1.18663 0.593316 0.804970i \(-0.297819\pi\)
0.593316 + 0.804970i \(0.297819\pi\)
\(252\) 3199.96 1722.92i 0.799916 0.430688i
\(253\) −8018.29 −1.99251
\(254\) 6211.40 + 3586.16i 1.53440 + 0.885888i
\(255\) 1384.67 + 704.724i 0.340044 + 0.173065i
\(256\) −2369.94 4104.86i −0.578599 1.00216i
\(257\) −2401.45 4159.43i −0.582873 1.00957i −0.995137 0.0985008i \(-0.968595\pi\)
0.412264 0.911064i \(-0.364738\pi\)
\(258\) −3819.12 + 7503.94i −0.921582 + 1.81076i
\(259\) −66.2967 + 27.1177i −0.0159053 + 0.00650584i
\(260\) 5888.08i 1.40447i
\(261\) 711.527 517.951i 0.168745 0.122837i
\(262\) 5264.85i 1.24146i
\(263\) 2334.00 + 1347.54i 0.547227 + 0.315941i 0.748003 0.663696i \(-0.231013\pi\)
−0.200776 + 0.979637i \(0.564346\pi\)
\(264\) −37.4211 707.836i −0.00872389 0.165016i
\(265\) −602.862 + 348.062i −0.139749 + 0.0806842i
\(266\) 401.626 2949.67i 0.0925762 0.679910i
\(267\) 4028.04 2618.46i 0.923266 0.600177i
\(268\) −1061.04 + 1837.78i −0.241841 + 0.418881i
\(269\) −4182.34 −0.947961 −0.473981 0.880535i \(-0.657183\pi\)
−0.473981 + 0.880535i \(0.657183\pi\)
\(270\) 6308.31 1008.02i 1.42190 0.227208i
\(271\) 654.173i 0.146635i −0.997309 0.0733176i \(-0.976641\pi\)
0.997309 0.0733176i \(-0.0233587\pi\)
\(272\) −889.325 + 1540.36i −0.198247 + 0.343374i
\(273\) −551.378 + 6667.43i −0.122238 + 1.47814i
\(274\) 2175.69 + 3768.40i 0.479701 + 0.830867i
\(275\) 446.105 257.559i 0.0978223 0.0564777i
\(276\) 6340.89 335.223i 1.38289 0.0731089i
\(277\) 1828.75 3167.49i 0.396675 0.687061i −0.596638 0.802510i \(-0.703497\pi\)
0.993313 + 0.115449i \(0.0368306\pi\)
\(278\) 5144.57 1.10989
\(279\) −488.156 4603.94i −0.104750 0.987924i
\(280\) 377.989 488.115i 0.0806756 0.104180i
\(281\) 2453.28 + 1416.40i 0.520819 + 0.300695i 0.737270 0.675598i \(-0.236115\pi\)
−0.216450 + 0.976294i \(0.569448\pi\)
\(282\) −1370.08 + 2691.99i −0.289317 + 0.568459i
\(283\) 7878.39 4548.59i 1.65485 0.955426i 0.679808 0.733390i \(-0.262063\pi\)
0.975039 0.222035i \(-0.0712701\pi\)
\(284\) 19.2393 11.1078i 0.00401986 0.00232087i
\(285\) 1129.84 2219.94i 0.234828 0.461397i
\(286\) −11218.9 6477.21i −2.31953 1.33918i
\(287\) 4941.54 + 3826.66i 1.01634 + 0.787040i
\(288\) 705.966 + 6658.16i 0.144442 + 1.36228i
\(289\) −4254.65 −0.865998
\(290\) −742.116 + 1285.38i −0.150271 + 0.260277i
\(291\) 5652.51 298.831i 1.13868 0.0601985i
\(292\) 3188.63 1840.95i 0.639042 0.368951i
\(293\) −1538.44 2664.66i −0.306747 0.531301i 0.670902 0.741546i \(-0.265907\pi\)
−0.977649 + 0.210245i \(0.932574\pi\)
\(294\) −4703.20 + 5136.04i −0.932980 + 1.01884i
\(295\) 3286.91 5693.09i 0.648716 1.12361i
\(296\) 11.0631i 0.00217239i
\(297\) −2389.11 + 6249.48i −0.466768 + 1.22098i
\(298\) 2392.22 0.465025
\(299\) −5844.44 + 10122.9i −1.13041 + 1.95793i
\(300\) −342.013 + 222.329i −0.0658205 + 0.0427872i
\(301\) 1036.19 7610.15i 0.198423 1.45728i
\(302\) 9820.76 5670.02i 1.87126 1.08037i
\(303\) 92.6103 + 1751.77i 0.0175588 + 0.332133i
\(304\) 2469.55 + 1425.80i 0.465917 + 0.268997i
\(305\) 7692.30i 1.44413i
\(306\) 2188.52 1593.12i 0.408854 0.297622i
\(307\) 3006.74i 0.558970i 0.960150 + 0.279485i \(0.0901637\pi\)
−0.960150 + 0.279485i \(0.909836\pi\)
\(308\) −2430.22 5941.32i −0.449592 1.09915i
\(309\) −499.826 + 982.076i −0.0920198 + 0.180804i
\(310\) 3903.97 + 6761.87i 0.715260 + 1.23887i
\(311\) 2232.53 + 3866.86i 0.407059 + 0.705046i 0.994559 0.104178i \(-0.0332211\pi\)
−0.587500 + 0.809224i \(0.699888\pi\)
\(312\) −920.899 468.691i −0.167101 0.0850461i
\(313\) 6007.81 + 3468.61i 1.08492 + 0.626382i 0.932221 0.361890i \(-0.117869\pi\)
0.152704 + 0.988272i \(0.451202\pi\)
\(314\) 5249.29 0.943423
\(315\) −5130.82 + 2762.52i −0.917742 + 0.494128i
\(316\) −1404.79 −0.250081
\(317\) −4933.94 2848.61i −0.874189 0.504713i −0.00545096 0.999985i \(-0.501735\pi\)
−0.868738 + 0.495272i \(0.835068\pi\)
\(318\) 64.0301 + 1211.16i 0.0112913 + 0.213580i
\(319\) −777.226 1346.20i −0.136415 0.236277i
\(320\) −2414.59 4182.19i −0.421811 0.730599i
\(321\) −1130.69 1739.37i −0.196602 0.302437i
\(322\) −11261.8 + 4606.48i −1.94905 + 0.797233i
\(323\) 1055.49i 0.181824i
\(324\) 1628.04 5042.00i 0.279157 0.864540i
\(325\) 750.927i 0.128166i
\(326\) −3297.70 1903.93i −0.560254 0.323463i
\(327\) 8048.54 5232.02i 1.36112 0.884806i
\(328\) −835.988 + 482.658i −0.140731 + 0.0812510i
\(329\) 371.727 2730.09i 0.0622917 0.457491i
\(330\) −595.690 11267.7i −0.0993687 1.87960i
\(331\) −3928.31 + 6804.03i −0.652325 + 1.12986i 0.330233 + 0.943900i \(0.392873\pi\)
−0.982557 + 0.185960i \(0.940461\pi\)
\(332\) −3143.33 −0.519617
\(333\) −42.3858 + 95.4352i −0.00697516 + 0.0157052i
\(334\) 11108.5i 1.81986i
\(335\) 1701.27 2946.69i 0.277464 0.480581i
\(336\) −2848.02 6032.50i −0.462417 0.979464i
\(337\) 2447.80 + 4239.71i 0.395668 + 0.685317i 0.993186 0.116538i \(-0.0371798\pi\)
−0.597518 + 0.801855i \(0.703846\pi\)
\(338\) −8920.13 + 5150.04i −1.43548 + 0.828773i
\(339\) 2998.32 5891.20i 0.480373 0.943853i
\(340\) −1086.58 + 1882.01i −0.173318 + 0.300196i
\(341\) −8177.34 −1.29861
\(342\) −2554.14 3508.72i −0.403837 0.554765i
\(343\) 2508.71 5836.09i 0.394921 0.918715i
\(344\) 1027.32 + 593.121i 0.161015 + 0.0929621i
\(345\) −10167.0 + 537.496i −1.58658 + 0.0838777i
\(346\) −13474.2 + 7779.33i −2.09358 + 1.20873i
\(347\) 1816.16 1048.56i 0.280969 0.162218i −0.352893 0.935664i \(-0.614802\pi\)
0.633862 + 0.773446i \(0.281469\pi\)
\(348\) 670.914 + 1032.08i 0.103347 + 0.158981i
\(349\) 7325.59 + 4229.43i 1.12358 + 0.648700i 0.942313 0.334734i \(-0.108647\pi\)
0.181268 + 0.983434i \(0.441980\pi\)
\(350\) 478.593 618.030i 0.0730911 0.0943860i
\(351\) 6148.41 + 7571.37i 0.934979 + 1.15137i
\(352\) 11826.0 1.79070
\(353\) 316.445 548.099i 0.0477129 0.0826412i −0.841183 0.540751i \(-0.818140\pi\)
0.888896 + 0.458110i \(0.151473\pi\)
\(354\) −6242.40 9602.83i −0.937232 1.44176i
\(355\) −30.8482 + 17.8102i −0.00461197 + 0.00266272i
\(356\) 3359.93 + 5819.58i 0.500214 + 0.866396i
\(357\) −1406.64 + 2029.37i −0.208536 + 0.300856i
\(358\) 4817.18 8343.60i 0.711162 1.23177i
\(359\) 7038.13i 1.03470i 0.855773 + 0.517351i \(0.173082\pi\)
−0.855773 + 0.517351i \(0.826918\pi\)
\(360\) −94.8978 895.008i −0.0138932 0.131031i
\(361\) 5166.80 0.753288
\(362\) 4919.24 8520.38i 0.714225 1.23707i
\(363\) 4368.04 + 2223.11i 0.631578 + 0.321441i
\(364\) −9272.12 1262.49i −1.33514 0.181792i
\(365\) −5112.64 + 2951.78i −0.733172 + 0.423297i
\(366\) 11944.2 + 6079.00i 1.70583 + 0.868182i
\(367\) −591.654 341.591i −0.0841528 0.0485856i 0.457333 0.889295i \(-0.348805\pi\)
−0.541486 + 0.840710i \(0.682138\pi\)
\(368\) 11655.4i 1.65103i
\(369\) 9060.81 960.719i 1.27828 0.135537i
\(370\) 176.109i 0.0247445i
\(371\) −418.842 1023.97i −0.0586124 0.143294i
\(372\) 6466.67 341.873i 0.901293 0.0476486i
\(373\) −4524.00 7835.79i −0.627999 1.08773i −0.987953 0.154756i \(-0.950541\pi\)
0.359954 0.932970i \(-0.382792\pi\)
\(374\) −2390.60 4140.64i −0.330521 0.572480i
\(375\) −5797.71 + 3768.85i −0.798380 + 0.518994i
\(376\) 368.543 + 212.778i 0.0505482 + 0.0291840i
\(377\) −2266.05 −0.309569
\(378\) 234.770 + 10150.0i 0.0319452 + 1.38111i
\(379\) 6790.65 0.920349 0.460175 0.887828i \(-0.347787\pi\)
0.460175 + 0.887828i \(0.347787\pi\)
\(380\) 3017.31 + 1742.04i 0.407328 + 0.235171i
\(381\) −7996.74 + 5198.35i −1.07529 + 0.699002i
\(382\) 900.857 + 1560.33i 0.120659 + 0.208988i
\(383\) −1170.59 2027.53i −0.156174 0.270501i 0.777312 0.629115i \(-0.216583\pi\)
−0.933486 + 0.358614i \(0.883249\pi\)
\(384\) 1891.92 100.020i 0.251423 0.0132920i
\(385\) 3896.60 + 9526.31i 0.515816 + 1.26105i
\(386\) 10011.9i 1.32019i
\(387\) −6589.68 9052.48i −0.865562 1.18905i
\(388\) 7917.29i 1.03593i
\(389\) 1522.53 + 879.032i 0.198445 + 0.114572i 0.595930 0.803036i \(-0.296784\pi\)
−0.397485 + 0.917609i \(0.630117\pi\)
\(390\) −14659.4 7460.89i −1.90335 0.968710i
\(391\) −3736.13 + 2157.06i −0.483234 + 0.278995i
\(392\) 687.603 + 699.889i 0.0885948 + 0.0901779i
\(393\) 6239.64 + 3175.66i 0.800886 + 0.407610i
\(394\) 7355.58 12740.2i 0.940530 1.62904i
\(395\) 2252.44 0.286918
\(396\) −8552.64 3798.50i −1.08532 0.482025i
\(397\) 1120.19i 0.141614i 0.997490 + 0.0708071i \(0.0225575\pi\)
−0.997490 + 0.0708071i \(0.977443\pi\)
\(398\) 1873.50 3245.00i 0.235955 0.408686i
\(399\) 3253.56 + 2255.18i 0.408225 + 0.282957i
\(400\) 374.386 + 648.456i 0.0467983 + 0.0810571i
\(401\) −1528.43 + 882.440i −0.190340 + 0.109893i −0.592142 0.805834i \(-0.701717\pi\)
0.401802 + 0.915727i \(0.368384\pi\)
\(402\) −3231.01 4970.33i −0.400865 0.616660i
\(403\) −5960.37 + 10323.7i −0.736743 + 1.27608i
\(404\) −2453.64 −0.302162
\(405\) −2610.40 + 8084.33i −0.320276 + 0.991885i
\(406\) −1865.01 1444.24i −0.227977 0.176542i
\(407\) 159.730 + 92.2202i 0.0194534 + 0.0112314i
\(408\) −207.856 319.750i −0.0252216 0.0387990i
\(409\) 5868.28 3388.05i 0.709456 0.409605i −0.101403 0.994845i \(-0.532333\pi\)
0.810860 + 0.585241i \(0.199000\pi\)
\(410\) −13307.7 + 7683.22i −1.60298 + 0.925481i
\(411\) −5778.47 + 305.489i −0.693505 + 0.0366635i
\(412\) −1334.82 770.659i −0.159616 0.0921545i
\(413\) 8260.31 + 6396.67i 0.984173 + 0.762129i
\(414\) −7200.06 + 16211.5i −0.854744 + 1.92453i
\(415\) 5040.01 0.596155
\(416\) 8619.81 14930.0i 1.01592 1.75962i
\(417\) −3103.11 + 6097.09i −0.364412 + 0.716009i
\(418\) −6638.42 + 3832.69i −0.776784 + 0.448477i
\(419\) −5353.56 9272.64i −0.624197 1.08114i −0.988696 0.149937i \(-0.952093\pi\)
0.364498 0.931204i \(-0.381240\pi\)
\(420\) −3479.72 7370.53i −0.404269 0.856298i
\(421\) 1424.86 2467.93i 0.164949 0.285700i −0.771688 0.636001i \(-0.780587\pi\)
0.936637 + 0.350301i \(0.113921\pi\)
\(422\) 15771.8i 1.81933i
\(423\) −2364.00 3247.51i −0.271730 0.373285i
\(424\) 170.873 0.0195715
\(425\) 138.575 240.020i 0.0158162 0.0273945i
\(426\) 3.27639 + 61.9744i 0.000372633 + 0.00704852i
\(427\) −12113.3 1649.34i −1.37284 0.186925i
\(428\) 2512.99 1450.87i 0.283808 0.163857i
\(429\) 14443.5 9389.11i 1.62550 1.05667i
\(430\) 16353.4 + 9441.65i 1.83403 + 1.05888i
\(431\) 10469.5i 1.17007i −0.811010 0.585033i \(-0.801082\pi\)
0.811010 0.585033i \(-0.198918\pi\)
\(432\) −9084.23 3472.80i −1.01173 0.386771i
\(433\) 5079.76i 0.563782i 0.959446 + 0.281891i \(0.0909617\pi\)
−0.959446 + 0.281891i \(0.909038\pi\)
\(434\) −11485.2 + 4697.85i −1.27029 + 0.519594i
\(435\) −1075.74 1654.84i −0.118570 0.182399i
\(436\) 6713.58 + 11628.3i 0.737436 + 1.27728i
\(437\) 3458.27 + 5989.90i 0.378562 + 0.655689i
\(438\) 543.015 + 10271.4i 0.0592380 + 1.12051i
\(439\) −6497.04 3751.07i −0.706349 0.407811i 0.103359 0.994644i \(-0.467041\pi\)
−0.809708 + 0.586834i \(0.800374\pi\)
\(440\) −1589.68 −0.172238
\(441\) −3250.10 8671.96i −0.350945 0.936396i
\(442\) −6969.93 −0.750058
\(443\) 2388.50 + 1379.00i 0.256165 + 0.147897i 0.622584 0.782553i \(-0.286083\pi\)
−0.366419 + 0.930450i \(0.619416\pi\)
\(444\) −130.171 66.2502i −0.0139136 0.00708130i
\(445\) −5387.31 9331.09i −0.573894 0.994014i
\(446\) 11435.8 + 19807.4i 1.21413 + 2.10293i
\(447\) −1442.94 + 2835.14i −0.152682 + 0.299995i
\(448\) 7103.54 2905.60i 0.749131 0.306421i
\(449\) 8061.59i 0.847327i 0.905820 + 0.423663i \(0.139256\pi\)
−0.905820 + 0.423663i \(0.860744\pi\)
\(450\) −120.155 1133.22i −0.0125871 0.118712i
\(451\) 16093.4i 1.68029i
\(452\) 8007.22 + 4622.97i 0.833248 + 0.481076i
\(453\) 796.130 + 15059.1i 0.0825727 + 1.56190i
\(454\) 20563.3 11872.2i 2.12573 1.22729i
\(455\) 14866.9 + 2024.27i 1.53180 + 0.208570i
\(456\) −512.635 + 333.243i −0.0526455 + 0.0342226i
\(457\) 108.316 187.608i 0.0110871 0.0192034i −0.860429 0.509571i \(-0.829804\pi\)
0.871516 + 0.490368i \(0.163137\pi\)
\(458\) −3674.14 −0.374850
\(459\) 568.010 + 3554.67i 0.0577613 + 0.361477i
\(460\) 14240.6i 1.44341i
\(461\) 594.431 1029.59i 0.0600552 0.104019i −0.834435 0.551107i \(-0.814206\pi\)
0.894490 + 0.447088i \(0.147539\pi\)
\(462\) 17871.4 + 1477.91i 1.79968 + 0.148828i
\(463\) 2397.17 + 4152.02i 0.240617 + 0.416761i 0.960890 0.276929i \(-0.0893168\pi\)
−0.720273 + 0.693691i \(0.755983\pi\)
\(464\) 1956.82 1129.77i 0.195783 0.113035i
\(465\) −10368.6 + 548.158i −1.03405 + 0.0546671i
\(466\) −6475.88 + 11216.5i −0.643754 + 1.11501i
\(467\) 2953.79 0.292687 0.146344 0.989234i \(-0.453249\pi\)
0.146344 + 0.989234i \(0.453249\pi\)
\(468\) −11029.4 + 8028.79i −1.08939 + 0.793015i
\(469\) 4275.46 + 3310.85i 0.420943 + 0.325972i
\(470\) 5866.67 + 3387.13i 0.575765 + 0.332418i
\(471\) −3166.28 + 6221.21i −0.309754 + 0.608616i
\(472\) −1397.44 + 806.814i −0.136277 + 0.0786793i
\(473\) −17127.1 + 9888.34i −1.66492 + 0.961240i
\(474\) 1780.04 3497.47i 0.172489 0.338912i
\(475\) −384.808 222.169i −0.0371710 0.0214607i
\(476\) −2730.68 2114.60i −0.262942 0.203619i
\(477\) −1474.03 654.663i −0.141491 0.0628405i
\(478\) −9988.44 −0.955775
\(479\) 54.6189 94.6028i 0.00521003 0.00902403i −0.863409 0.504505i \(-0.831675\pi\)
0.868619 + 0.495481i \(0.165008\pi\)
\(480\) 14995.0 792.739i 1.42589 0.0753821i
\(481\) 232.851 134.437i 0.0220730 0.0127438i
\(482\) 4062.39 + 7036.27i 0.383894 + 0.664924i
\(483\) 1333.53 16125.5i 0.125627 1.51912i
\(484\) −3427.71 + 5936.96i −0.321911 + 0.557566i
\(485\) 12694.6i 1.18852i
\(486\) 10490.0 + 10442.1i 0.979089 + 0.974616i
\(487\) −3614.94 −0.336363 −0.168182 0.985756i \(-0.553789\pi\)
−0.168182 + 0.985756i \(0.553789\pi\)
\(488\) 944.088 1635.21i 0.0875755 0.151685i
\(489\) 4245.56 2759.86i 0.392619 0.255225i
\(490\) 10945.7 + 11141.2i 1.00913 + 1.02716i
\(491\) 16280.5 9399.53i 1.49639 0.863940i 0.496397 0.868096i \(-0.334656\pi\)
0.999991 + 0.00415517i \(0.00132263\pi\)
\(492\) 672.824 + 12726.8i 0.0616530 + 1.16619i
\(493\) −724.300 418.175i −0.0661680 0.0382021i
\(494\) 11174.4i 1.01774i
\(495\) 13713.3 + 6090.51i 1.24518 + 0.553026i
\(496\) 11886.5i 1.07605i
\(497\) −21.4320 52.3963i −0.00193431 0.00472896i
\(498\) 3982.97 7825.88i 0.358396 0.704189i
\(499\) −1620.89 2807.46i −0.145413 0.251862i 0.784114 0.620617i \(-0.213118\pi\)
−0.929527 + 0.368755i \(0.879784\pi\)
\(500\) −4836.08 8376.34i −0.432552 0.749203i
\(501\) −13165.3 6700.46i −1.17402 0.597514i
\(502\) −15967.9 9219.06i −1.41968 0.819655i
\(503\) −4737.83 −0.419979 −0.209989 0.977704i \(-0.567343\pi\)
−0.209989 + 0.977704i \(0.567343\pi\)
\(504\) 1429.74 + 42.4641i 0.126361 + 0.00375298i
\(505\) 3934.16 0.346669
\(506\) 27133.3 + 15665.4i 2.38384 + 1.37631i
\(507\) −723.119 13678.1i −0.0633429 1.19816i
\(508\) −6670.37 11553.4i −0.582579 1.00906i
\(509\) −1272.38 2203.83i −0.110800 0.191912i 0.805293 0.592877i \(-0.202008\pi\)
−0.916093 + 0.400965i \(0.868675\pi\)
\(510\) −3308.78 5089.97i −0.287285 0.441937i
\(511\) −3552.03 8683.92i −0.307500 0.751769i
\(512\) 15603.9i 1.34687i
\(513\) 5698.97 910.654i 0.490479 0.0783749i
\(514\) 18766.9i 1.61046i
\(515\) 2140.25 + 1235.67i 0.183127 + 0.105729i
\(516\) 13130.8 8535.78i 1.12025 0.728230i
\(517\) −6144.23 + 3547.37i −0.522675 + 0.301767i
\(518\) 277.323 + 37.7602i 0.0235229 + 0.00320287i
\(519\) −1092.30 20661.3i −0.0923826 1.74746i
\(520\) −1158.70 + 2006.93i −0.0977160 + 0.169249i
\(521\) 7623.86 0.641089 0.320545 0.947233i \(-0.396134\pi\)
0.320545 + 0.947233i \(0.396134\pi\)
\(522\) −3419.68 + 362.589i −0.286734 + 0.0304025i
\(523\) 20941.4i 1.75087i −0.483335 0.875435i \(-0.660575\pi\)
0.483335 0.875435i \(-0.339425\pi\)
\(524\) −4896.40 + 8480.81i −0.408206 + 0.707034i
\(525\) 443.781 + 939.990i 0.0368918 + 0.0781420i
\(526\) −5265.39 9119.92i −0.436467 0.755984i
\(527\) −3810.24 + 2199.84i −0.314946 + 0.181834i
\(528\) −7791.46 + 15308.9i −0.642196 + 1.26181i
\(529\) 8051.53 13945.7i 0.661752 1.14619i
\(530\) 2720.05 0.222927
\(531\) 15146.1 1605.94i 1.23783 0.131247i
\(532\) −3390.20 + 4377.93i −0.276286 + 0.356780i
\(533\) −20317.5 11730.3i −1.65113 0.953279i
\(534\) −18746.3 + 991.058i −1.51916 + 0.0803133i
\(535\) −4029.32 + 2326.33i −0.325612 + 0.187992i
\(536\) −723.302 + 417.599i −0.0582871 + 0.0336521i
\(537\) 6982.80 + 10741.8i 0.561136 + 0.863208i
\(538\) 14152.7 + 8171.07i 1.13414 + 0.654796i
\(539\) −15836.8 + 4093.52i −1.26557 + 0.327125i
\(540\) −11099.1 4243.08i −0.884502 0.338135i
\(541\) −6660.29 −0.529294 −0.264647 0.964345i \(-0.585255\pi\)
−0.264647 + 0.964345i \(0.585255\pi\)
\(542\) −1278.06 + 2213.67i −0.101287 + 0.175434i
\(543\) 7130.74 + 10969.4i 0.563553 + 0.866927i
\(544\) 5510.33 3181.39i 0.434289 0.250737i
\(545\) −10764.5 18644.7i −0.846059 1.46542i
\(546\) 14892.1 21484.9i 1.16725 1.68401i
\(547\) −10779.8 + 18671.2i −0.842616 + 1.45945i 0.0450599 + 0.998984i \(0.485652\pi\)
−0.887676 + 0.460469i \(0.847681\pi\)
\(548\) 8093.71i 0.630924i
\(549\) −14409.1 + 10489.0i −1.12015 + 0.815407i
\(550\) −2012.78 −0.156046
\(551\) −670.432 + 1161.22i −0.0518355 + 0.0897818i
\(552\) 2227.23 + 1133.55i 0.171734 + 0.0874040i
\(553\) −482.954 + 3546.98i −0.0371380 + 0.272754i
\(554\) −12376.7 + 7145.70i −0.949163 + 0.547999i
\(555\) 208.715 + 106.225i 0.0159630 + 0.00812436i
\(556\) −8287.06 4784.54i −0.632103 0.364945i
\(557\) 15772.0i 1.19979i −0.800079 0.599895i \(-0.795209\pi\)
0.800079 0.599895i \(-0.204791\pi\)
\(558\) −7342.88 + 16533.1i −0.557077 + 1.25431i
\(559\) 28830.0i 2.18136i
\(560\) −13847.4 + 5664.09i −1.04493 + 0.427413i
\(561\) 6349.25 335.665i 0.477835 0.0252617i
\(562\) −5534.47 9585.99i −0.415405 0.719503i
\(563\) −5842.23 10119.0i −0.437337 0.757489i 0.560146 0.828394i \(-0.310745\pi\)
−0.997483 + 0.0709043i \(0.977412\pi\)
\(564\) 4710.57 3062.15i 0.351686 0.228617i
\(565\) −12838.8 7412.46i −0.955984 0.551937i
\(566\) −35546.5 −2.63981
\(567\) −12170.9 5844.06i −0.901465 0.432853i
\(568\) 8.74349 0.000645896
\(569\) −5808.93 3353.79i −0.427984 0.247097i 0.270503 0.962719i \(-0.412810\pi\)
−0.698488 + 0.715622i \(0.746143\pi\)
\(570\) −8160.42 + 5304.75i −0.599653 + 0.389810i
\(571\) 9286.00 + 16083.8i 0.680573 + 1.17879i 0.974806 + 0.223053i \(0.0716022\pi\)
−0.294234 + 0.955733i \(0.595064\pi\)
\(572\) 12047.8 + 20867.5i 0.880674 + 1.52537i
\(573\) −2392.61 + 126.490i −0.174437 + 0.00922196i
\(574\) −9245.63 22603.5i −0.672308 1.64364i
\(575\) 1816.15i 0.131719i
\(576\) 4541.54 10225.7i 0.328526 0.739704i
\(577\) 8147.17i 0.587818i 0.955833 + 0.293909i \(0.0949563\pi\)
−0.955833 + 0.293909i \(0.905044\pi\)
\(578\) 14397.4 + 8312.35i 1.03608 + 0.598181i
\(579\) 11865.6 + 6038.99i 0.851671 + 0.433457i
\(580\) 2390.86 1380.36i 0.171164 0.0988213i
\(581\) −1080.65 + 7936.65i −0.0771650 + 0.566726i
\(582\) −19711.5 10032.1i −1.40390 0.714512i
\(583\) −1424.37 + 2467.08i −0.101186 + 0.175259i
\(584\) 1449.11 0.102679
\(585\) 17684.6 12873.3i 1.24986 0.909824i
\(586\) 12022.7i 0.847531i
\(587\) −2070.04 + 3585.42i −0.145553 + 0.252106i −0.929579 0.368622i \(-0.879830\pi\)
0.784026 + 0.620728i \(0.213163\pi\)
\(588\) 12352.7 3899.26i 0.866354 0.273474i
\(589\) 3526.87 + 6108.72i 0.246727 + 0.427343i
\(590\) −22245.3 + 12843.3i −1.55224 + 0.896189i
\(591\) 10662.4 + 16402.1i 0.742116 + 1.14161i
\(592\) −134.051 + 232.183i −0.00930652 + 0.0161194i
\(593\) 14381.9 0.995945 0.497973 0.867193i \(-0.334078\pi\)
0.497973 + 0.867193i \(0.334078\pi\)
\(594\) 20294.2 16480.2i 1.40182 1.13837i
\(595\) 4378.37 + 3390.54i 0.301673 + 0.233611i
\(596\) −3853.47 2224.80i −0.264840 0.152905i
\(597\) 2715.75 + 4177.71i 0.186178 + 0.286402i
\(598\) 39554.3 22836.7i 2.70484 1.56164i
\(599\) 12019.7 6939.59i 0.819887 0.473362i −0.0304902 0.999535i \(-0.509707\pi\)
0.850378 + 0.526173i \(0.176374\pi\)
\(600\) −160.325 + 8.47590i −0.0109088 + 0.000576712i
\(601\) 12474.7 + 7202.28i 0.846680 + 0.488831i 0.859529 0.511087i \(-0.170757\pi\)
−0.0128495 + 0.999917i \(0.504090\pi\)
\(602\) −18374.4 + 23727.8i −1.24400 + 1.60643i
\(603\) 7839.48 831.220i 0.529433 0.0561358i
\(604\) −21092.9 −1.42095
\(605\) 5495.98 9519.31i 0.369328 0.639694i
\(606\) 3109.06 6108.78i 0.208410 0.409492i
\(607\) −17223.6 + 9944.08i −1.15171 + 0.664938i −0.949303 0.314364i \(-0.898209\pi\)
−0.202404 + 0.979302i \(0.564876\pi\)
\(608\) −5100.51 8834.35i −0.340219 0.589277i
\(609\) 2836.58 1339.18i 0.188742 0.0891073i
\(610\) 15028.5 26030.2i 0.997520 1.72776i
\(611\) 10342.6i 0.684804i
\(612\) −5006.98 + 530.890i −0.330711 + 0.0350653i
\(613\) 8096.44 0.533462 0.266731 0.963771i \(-0.414057\pi\)
0.266731 + 0.963771i \(0.414057\pi\)
\(614\) 5874.30 10174.6i 0.386103 0.668751i
\(615\) −1078.80 20406.1i −0.0707343 1.33797i
\(616\) 340.849 2503.31i 0.0222942 0.163736i
\(617\) −8145.01 + 4702.53i −0.531452 + 0.306834i −0.741608 0.670834i \(-0.765936\pi\)
0.210155 + 0.977668i \(0.432603\pi\)
\(618\) 3610.07 2346.76i 0.234981 0.152751i
\(619\) 467.098 + 269.679i 0.0303300 + 0.0175110i 0.515088 0.857137i \(-0.327759\pi\)
−0.484758 + 0.874648i \(0.661092\pi\)
\(620\) 14523.0i 0.940740i
\(621\) −14870.2 18311.7i −0.960902 1.18329i
\(622\) 17446.9i 1.12469i
\(623\) 15849.1 6482.83i 1.01923 0.416901i
\(624\) 13648.0 + 20995.0i 0.875572 + 1.34691i
\(625\) 8429.26 + 14599.9i 0.539473 + 0.934394i
\(626\) −13553.3 23475.0i −0.865335 1.49880i
\(627\) −538.150 10179.3i −0.0342769 0.648363i
\(628\) −8455.76 4881.93i −0.537295 0.310208i
\(629\) 99.2353 0.00629057
\(630\) 22759.5 + 675.968i 1.43930 + 0.0427479i
\(631\) −14096.7 −0.889349 −0.444675 0.895692i \(-0.646681\pi\)
−0.444675 + 0.895692i \(0.646681\pi\)
\(632\) −478.817 276.445i −0.0301366 0.0173994i
\(633\) 18691.9 + 9513.24i 1.17368 + 0.597342i
\(634\) 11130.7 + 19279.0i 0.697252 + 1.20768i
\(635\) 10695.3 + 18524.7i 0.668391 + 1.15769i
\(636\) 1023.26 2010.53i 0.0637967 0.125350i
\(637\) −6375.34 + 22977.3i −0.396547 + 1.42919i
\(638\) 6073.90i 0.376909i
\(639\) −75.4253 33.4988i −0.00466945 0.00207385i
\(640\) 4248.92i 0.262427i
\(641\) 18973.7 + 10954.5i 1.16914 + 0.675002i 0.953477 0.301466i \(-0.0974761\pi\)
0.215661 + 0.976468i \(0.430809\pi\)
\(642\) 427.955 + 8094.95i 0.0263085 + 0.497636i
\(643\) −14525.7 + 8386.40i −0.890881 + 0.514350i −0.874231 0.485511i \(-0.838634\pi\)
−0.0166504 + 0.999861i \(0.505300\pi\)
\(644\) 22425.0 + 3053.38i 1.37216 + 0.186832i
\(645\) −21053.9 + 13686.2i −1.28526 + 0.835497i
\(646\) −2062.12 + 3571.70i −0.125593 + 0.217534i
\(647\) 7088.41 0.430717 0.215359 0.976535i \(-0.430908\pi\)
0.215359 + 0.976535i \(0.430908\pi\)
\(648\) 1547.11 1398.17i 0.0937906 0.0847610i
\(649\) 26901.9i 1.62711i
\(650\) −1467.09 + 2541.08i −0.0885295 + 0.153338i
\(651\) 1359.98 16445.3i 0.0818770 0.990082i
\(652\) 3541.37 + 6133.84i 0.212716 + 0.368435i
\(653\) 3166.83 1828.37i 0.189782 0.109571i −0.402098 0.915596i \(-0.631719\pi\)
0.591881 + 0.806026i \(0.298386\pi\)
\(654\) −37457.5 + 1980.26i −2.23961 + 0.118401i
\(655\) 7850.87 13598.1i 0.468334 0.811179i
\(656\) 23393.4 1.39231
\(657\) −12500.6 5551.94i −0.742309 0.329683i
\(658\) −6591.70 + 8512.17i −0.390534 + 0.504314i
\(659\) −6740.56 3891.66i −0.398444 0.230042i 0.287368 0.957820i \(-0.407220\pi\)
−0.685813 + 0.727778i \(0.740553\pi\)
\(660\) −9519.63 + 18704.5i −0.561441 + 1.10314i
\(661\) 6895.85 3981.32i 0.405775 0.234274i −0.283198 0.959062i \(-0.591395\pi\)
0.688973 + 0.724787i \(0.258062\pi\)
\(662\) 26586.2 15349.6i 1.56088 0.901175i
\(663\) 4204.13 8260.42i 0.246267 0.483874i
\(664\) −1071.39 618.568i −0.0626175 0.0361522i
\(665\) 5435.84 7019.56i 0.316982 0.409333i
\(666\) 329.883 240.136i 0.0191933 0.0139716i
\(667\) 5480.53 0.318151
\(668\) 10331.1 17894.0i 0.598388 1.03644i
\(669\) −30372.7 + 1605.71i −1.75527 + 0.0927956i
\(670\) −11513.9 + 6647.58i −0.663914 + 0.383311i
\(671\) 15739.5 + 27261.7i 0.905542 + 1.56844i
\(672\) −1966.79 + 23783.0i −0.112903 + 1.36525i
\(673\) −494.666 + 856.786i −0.0283328 + 0.0490738i −0.879844 0.475262i \(-0.842353\pi\)
0.851511 + 0.524336i \(0.175686\pi\)
\(674\) 19129.2i 1.09322i
\(675\) 1415.51 + 541.135i 0.0807157 + 0.0308567i
\(676\) 19158.5 1.09004
\(677\) −11083.3 + 19196.9i −0.629198 + 1.08980i 0.358515 + 0.933524i \(0.383283\pi\)
−0.987713 + 0.156279i \(0.950050\pi\)
\(678\) −21655.8 + 14077.5i −1.22668 + 0.797411i
\(679\) 19990.5 + 2721.89i 1.12985 + 0.153839i
\(680\) −740.713 + 427.651i −0.0417721 + 0.0241171i
\(681\) 1666.98 + 31531.7i 0.0938016 + 1.77430i
\(682\) 27671.5 + 15976.1i 1.55366 + 0.897006i
\(683\) 2458.98i 0.137760i −0.997625 0.0688802i \(-0.978057\pi\)
0.997625 0.0688802i \(-0.0219426\pi\)
\(684\) 851.142 + 8027.37i 0.0475793 + 0.448734i
\(685\) 12977.4i 0.723858i
\(686\) −19891.3 + 14847.6i −1.10708 + 0.826361i
\(687\) 2216.17 4354.41i 0.123075 0.241821i
\(688\) −14373.7 24895.9i −0.796498 1.37958i
\(689\) 2076.42 + 3596.46i 0.114812 + 0.198859i
\(690\) 35454.4 + 18044.5i 1.95612 + 0.995567i
\(691\) −21148.3 12210.0i −1.16428 0.672200i −0.211958 0.977279i \(-0.567984\pi\)
−0.952327 + 0.305079i \(0.901317\pi\)
\(692\) 28939.6 1.58977
\(693\) −12531.2 + 20288.8i −0.686900 + 1.11213i
\(694\) −8194.32 −0.448202
\(695\) 13287.4 + 7671.51i 0.725211 + 0.418701i
\(696\) 25.5774 + 483.808i 0.00139297 + 0.0263487i
\(697\) −4329.42 7498.77i −0.235277 0.407512i
\(698\) −16526.2 28624.1i −0.896167 1.55221i
\(699\) −9387.18 14440.5i −0.507948 0.781388i
\(700\) −1345.71 + 550.446i −0.0726618 + 0.0297213i
\(701\) 6521.09i 0.351353i −0.984448 0.175676i \(-0.943789\pi\)
0.984448 0.175676i \(-0.0562112\pi\)
\(702\) −6013.50 37633.2i −0.323312 2.02332i
\(703\) 159.098i 0.00853553i
\(704\) −17114.7 9881.18i −0.916243 0.528993i
\(705\) −7552.92 + 4909.84i −0.403489 + 0.262291i
\(706\) −2141.65 + 1236.48i −0.114167 + 0.0659145i
\(707\) −843.540 + 6195.24i −0.0448721 + 0.329556i
\(708\) 1124.70 + 21274.1i 0.0597016 + 1.12928i
\(709\) 5031.46 8714.75i 0.266517 0.461621i −0.701443 0.712726i \(-0.747461\pi\)
0.967960 + 0.251105i \(0.0807939\pi\)
\(710\) 139.184 0.00735701
\(711\) 3071.35 + 4219.22i 0.162004 + 0.222550i
\(712\) 2644.77i 0.139209i
\(713\) 14415.4 24968.2i 0.757169 1.31145i
\(714\) 8724.77 4119.07i 0.457306 0.215899i
\(715\) −19317.5 33458.9i −1.01040 1.75006i
\(716\) −15519.4 + 8960.12i −0.810037 + 0.467675i
\(717\) 6024.84 11837.8i 0.313810 0.616585i
\(718\) 13750.5 23816.5i 0.714711 1.23792i
\(719\) −3449.87 −0.178941 −0.0894704 0.995989i \(-0.528517\pi\)
−0.0894704 + 0.995989i \(0.528517\pi\)
\(720\) −8853.14 + 19933.6i −0.458246 + 1.03178i
\(721\) −2404.75 + 3105.36i −0.124213 + 0.160402i
\(722\) −17484.1 10094.4i −0.901232 0.520327i
\(723\) −10789.4 + 570.402i −0.554997 + 0.0293409i
\(724\) −15848.2 + 9149.96i −0.813527 + 0.469690i
\(725\) −304.914 + 176.042i −0.0156196 + 0.00901800i
\(726\) −10437.8 16056.7i −0.533586 0.820828i
\(727\) 18318.1 + 10575.9i 0.934497 + 0.539532i 0.888231 0.459397i \(-0.151935\pi\)
0.0462657 + 0.998929i \(0.485268\pi\)
\(728\) −2911.92 2254.95i −0.148246 0.114799i
\(729\) −18702.9 + 6133.78i −0.950204 + 0.311628i
\(730\) 23067.7 1.16955
\(731\) −5320.27 + 9214.98i −0.269189 + 0.466249i
\(732\) −13586.6 20900.6i −0.686033 1.05534i
\(733\) 8853.40 5111.51i 0.446122 0.257569i −0.260069 0.965590i \(-0.583745\pi\)
0.706191 + 0.708021i \(0.250412\pi\)
\(734\) 1334.74 + 2311.84i 0.0671202 + 0.116256i
\(735\) −19806.3 + 6252.07i −0.993967 + 0.313757i
\(736\) −20847.4 + 36108.7i −1.04408 + 1.80840i
\(737\) 13924.2i 0.695934i
\(738\) −32538.1 14451.2i −1.62296 0.720808i
\(739\) −38602.2 −1.92152 −0.960761 0.277378i \(-0.910534\pi\)
−0.960761 + 0.277378i \(0.910534\pi\)
\(740\) −163.784 + 283.682i −0.00813624 + 0.0140924i
\(741\) −13243.4 6740.21i −0.656557 0.334154i
\(742\) −583.218 + 4283.35i −0.0288552 + 0.211923i
\(743\) 12936.5 7468.90i 0.638755 0.368785i −0.145380 0.989376i \(-0.546440\pi\)
0.784135 + 0.620591i \(0.213107\pi\)
\(744\) 2271.41 + 1156.03i 0.111927 + 0.0569653i
\(745\) 6178.65 + 3567.25i 0.303850 + 0.175428i
\(746\) 35354.3i 1.73514i
\(747\) 6872.40 + 9440.85i 0.336610 + 0.462413i
\(748\) 8893.20i 0.434716i
\(749\) −2799.39 6843.88i −0.136565 0.333872i
\(750\) 26982.3 1426.47i 1.31367 0.0694497i
\(751\) 12330.2 + 21356.5i 0.599113 + 1.03769i 0.992952 + 0.118515i \(0.0378135\pi\)
−0.393839 + 0.919180i \(0.628853\pi\)
\(752\) −5156.45 8931.23i −0.250048 0.433097i
\(753\) 20557.5 13363.6i 0.994897 0.646741i
\(754\) 7668.13 + 4427.20i 0.370367 + 0.213832i
\(755\) 33820.2 1.63026
\(756\) 9061.51 16568.4i 0.435931 0.797071i
\(757\) 31078.1 1.49214 0.746071 0.665867i \(-0.231938\pi\)
0.746071 + 0.665867i \(0.231938\pi\)
\(758\) −22979.1 13267.0i −1.10110 0.635723i
\(759\) −34932.2 + 22708.0i −1.67056 + 1.08596i
\(760\) 685.625 + 1187.54i 0.0327240 + 0.0566796i
\(761\) 1863.73 + 3228.07i 0.0887780 + 0.153768i 0.906995 0.421142i \(-0.138370\pi\)
−0.818217 + 0.574910i \(0.805037\pi\)
\(762\) 37216.5 1967.52i 1.76930 0.0935376i
\(763\) 31668.4 12953.5i 1.50259 0.614612i
\(764\) 3351.25i 0.158696i
\(765\) 8028.18 851.228i 0.379424 0.0402304i
\(766\) 9148.01i 0.431503i
\(767\) −33962.9 19608.5i −1.59887 0.923106i
\(768\) −21949.9 11171.4i −1.03131 0.524885i
\(769\) −5266.10 + 3040.38i −0.246944 + 0.142573i −0.618364 0.785892i \(-0.712204\pi\)
0.371420 + 0.928465i \(0.378871\pi\)
\(770\) 5425.83 39849.1i 0.253940 1.86502i
\(771\) −22241.7 11319.9i −1.03893 0.528762i
\(772\) −9311.23 + 16127.5i −0.434091 + 0.751868i
\(773\) −34364.4 −1.59897 −0.799483 0.600688i \(-0.794893\pi\)