Properties

Label 63.4.o.a.20.3
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 20.3
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.38393 - 1.95371i) q^{2} +(-4.35656 + 2.83202i) q^{3} +(3.63397 + 6.29422i) q^{4} +(5.82670 + 10.0921i) q^{5} +(20.2752 - 1.07189i) q^{6} +(-2.49865 - 18.3509i) q^{7} +2.86048i q^{8} +(10.9593 - 24.6758i) q^{9} +O(q^{10})\) \(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} +(-2.49865 - 18.3509i) 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} +(-27.3972 + 66.9798i) 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} +(62.8558 + 72.8708i) 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} +(-70.3309 - 369.391i) 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} +(-330.513 + 91.7052i) 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} +(52.4924 - 7.14733i) 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} +(-480.207 - 139.457i) 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} +(-835.605 + 113.775i) 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} +(-334.375 + 817.471i) 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} +(-230.249 + 660.438i) 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 \(0.00783223\pi\)
−0.478542 + 0.878065i \(0.658834\pi\)
\(6\) 20.2752 1.07189i 1.37956 0.0729328i
\(7\) −2.49865 18.3509i −0.134915 0.990857i
\(8\) 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 0.306811 0.951770i \(-0.400738\pi\)
0.977663 + 0.210179i \(0.0674047\pi\)
\(14\) −27.3972 + 66.9798i −0.523014 + 1.27865i
\(15\) −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 \(-0.441409\pi\)
0.183031 + 0.983107i \(0.441409\pi\)
\(18\) −85.2948 + 62.0897i −1.11690 + 0.813038i
\(19\) 41.1363i 0.496701i −0.968670 0.248351i \(-0.920111\pi\)
0.968670 0.248351i \(-0.0798885\pi\)
\(20\) −42.3481 + 73.3490i −0.473466 + 0.820067i
\(21\) 62.8558 + 72.8708i 0.653155 + 0.757224i
\(22\) 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 −0.864134 0.503262i \(-0.832133\pi\)
0.00377092 + 0.999993i \(0.498800\pi\)
\(32\) −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 \(-0.944471\pi\)
0.342097 0.939665i \(-0.388863\pi\)
\(42\) −70.3309 369.391i −0.258388 1.35710i
\(43\) 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 −0.958060 0.286566i \(-0.907486\pi\)
0.727204 + 0.686421i \(0.240819\pi\)
\(48\) 19.0161 + 359.698i 0.0571821 + 1.08162i
\(49\) −330.513 + 91.7052i −0.963596 + 0.267362i
\(50\) 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
\(56\) 52.4924 7.14733i 0.125261 0.0170554i
\(57\) 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 \(-0.952832\pi\)
0.366659 0.930355i \(-0.380502\pi\)
\(60\) −23.2340 439.480i −0.0499915 0.945611i
\(61\) 571.656 + 330.046i 1.19989 + 0.692754i 0.960530 0.278178i \(-0.0897304\pi\)
0.239356 + 0.970932i \(0.423064\pi\)
\(62\) 670.014 1.37245
\(63\) −480.207 139.457i −0.960324 0.278888i
\(64\) 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
\(70\) −835.605 + 113.775i −1.42677 + 0.194268i
\(71\) 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 \(0.133116\pi\)
−0.913823 + 0.406114i \(0.866884\pi\)
\(74\) 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
\(77\) −334.375 + 817.471i −0.494877 + 1.20986i
\(78\) 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 −0.686868 0.726782i \(-0.741015\pi\)
0.972846 + 0.231454i \(0.0743484\pi\)
\(84\) −230.249 + 660.438i −0.299074 + 0.857854i
\(85\) 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 \(-0.685600\pi\)
−0.550598 + 0.834771i \(0.685600\pi\)
\(90\) −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 −0.0829763 0.996552i \(-0.526443\pi\)
−0.904527 + 0.426416i \(0.859776\pi\)
\(98\) 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 −0.770817 0.637056i \(-0.780152\pi\)
0.937116 + 0.349019i \(0.113485\pi\)
\(102\) 520.229 27.5029i 0.505003 0.0266979i
\(103\) 183.659 106.035i 0.175694 0.101437i −0.409574 0.912277i \(-0.634323\pi\)
0.585268 + 0.810840i \(0.300989\pi\)
\(104\) 99.4302 + 172.218i 0.0937493 + 0.162379i
\(105\) −369.180 + 1058.95i −0.343127 + 0.984214i
\(106\) −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
\(112\) −1188.27 486.046i −1.00251 0.410063i
\(113\) 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
\(119\) −64.1112 470.854i −0.0493871 0.362716i
\(120\) 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
\(126\) 1352.53 + 1410.10i 0.956290 + 0.996996i
\(127\) −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 0.549019 0.835810i \(-0.315001\pi\)
−0.998342 + 0.0575597i \(0.981668\pi\)
\(132\) 981.581 + 1509.99i 0.647240 + 0.995664i
\(133\) −754.890 + 102.785i −0.492160 + 0.0670122i
\(134\) 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 −0.109999 0.993932i \(-0.535085\pi\)
0.805771 + 0.592228i \(0.201751\pi\)
\(140\) 1451.84 + 593.853i 0.876447 + 0.358498i
\(141\) −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
\(147\) 1180.19 1335.54i 0.662181 0.749344i
\(148\) −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 −0.174242 0.984703i \(-0.555748\pi\)
0.765657 + 0.643250i \(0.222414\pi\)
\(158\) 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 \(0.0622100\pi\)
−0.322302 + 0.946637i \(0.604457\pi\)
\(168\) −208.445 + 179.797i −0.0957255 + 0.0825695i
\(169\) 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 \(0.505772\pi\)
−0.856817 + 0.515621i \(0.827561\pi\)
\(174\) 589.812 + 300.184i 0.256974 + 0.130787i
\(175\) 185.158 + 75.7362i 0.0799806 + 0.0327149i
\(176\) −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 \(-0.827049\pi\)
0.855986 0.516999i \(-0.172951\pi\)
\(182\) 678.743 + 4984.92i 0.276439 + 2.03026i
\(183\) −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
\(189\) 2487.00 752.402i 0.957156 0.289573i
\(190\) −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
\(196\) −1778.29 1747.07i −0.648064 0.636687i
\(197\) 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 \(-0.945365\pi\)
0.985306 0.170799i \(-0.0546347\pi\)
\(200\) −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
\(203\) 228.546 558.744i 0.0790188 0.193183i
\(204\) −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
\(210\) 3318.15 2862.12i 1.09035 0.940500i
\(211\) 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 \(0.00836219\pi\)
0.522576 + 0.852593i \(0.324971\pi\)
\(224\) 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 \(-0.485159\pi\)
0.841781 0.539820i \(-0.181508\pi\)
\(228\) −704.653 + 1384.53i −0.204679 + 0.402160i
\(229\) −814.321 + 470.148i −0.234986 + 0.135669i −0.612870 0.790184i \(-0.709985\pi\)
0.377884 + 0.925853i \(0.376652\pi\)
\(230\) −3828.04 6630.35i −1.09745 1.90084i
\(231\) −858.370 4508.32i −0.244487 1.28409i
\(232\) −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
\(238\) −702.965 + 1718.59i −0.191456 + 0.468066i
\(239\) 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 0.720963 0.692973i \(-0.243700\pi\)
−0.239651 + 0.970859i \(0.577033\pi\)
\(242\) 3685.64i 0.979016i
\(243\) 3661.16 + 972.027i 0.966516 + 0.256607i
\(244\) 4797.50i 1.25872i
\(245\) −2851.30 2801.25i −0.743523 0.730470i
\(246\) −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 \(-0.702181\pi\)
−0.593316 + 0.804970i \(0.702181\pi\)
\(252\) −867.283 3529.31i −0.216800 0.882245i
\(253\) −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 \(0.0314047\pi\)
−0.412264 + 0.911064i \(0.635262\pi\)
\(258\) 3819.12 7503.94i 0.921582 1.81076i
\(259\) 9.66370 + 70.9735i 0.00231843 + 0.0170273i
\(260\) 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
\(266\) 2755.31 + 1127.02i 0.635108 + 0.259782i
\(267\) 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 \(-0.342817\pi\)
0.473981 + 0.880535i \(0.342817\pi\)
\(270\) 6308.31 1008.02i 1.42190 0.227208i
\(271\) 654.173i 0.146635i 0.997309 + 0.0733176i \(0.0233587\pi\)
−0.997309 + 0.0733176i \(0.976641\pi\)
\(272\) 889.325 1540.36i 0.198247 0.343374i
\(273\) 6317.29 + 2202.40i 1.40051 + 0.488261i
\(274\) 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 \(0.737937\pi\)
−0.975039 + 0.222035i \(0.928730\pi\)
\(284\) 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 0.977649 0.210245i \(-0.0674261\pi\)
−0.670902 + 0.741546i \(0.734093\pi\)
\(294\) −6602.94 + 2213.62i −1.30983 + 0.439118i
\(295\) 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
\(301\) −7108.68 2907.71i −1.36125 0.556802i
\(302\) 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 \(-0.909836\pi\)
0.960150 0.279485i \(-0.0901637\pi\)
\(308\) −6360.45 + 866.034i −1.17669 + 0.160217i
\(309\) −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 0.587500 0.809224i \(-0.300112\pi\)
−0.994559 + 0.104178i \(0.966779\pi\)
\(312\) −920.899 468.691i −0.167101 0.0850461i
\(313\) −6007.81 3468.61i −1.08492 0.626382i −0.152704 0.988272i \(-0.548798\pi\)
−0.932221 + 0.361890i \(0.882131\pi\)
\(314\) −5249.29 −0.943423
\(315\) −1390.60 5658.89i −0.248735 1.01220i
\(316\) −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
\(322\) 1641.57 + 12056.2i 0.284103 + 2.08655i
\(323\) 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
\(329\) 2550.19 + 1043.12i 0.427345 + 0.174799i
\(330\) −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
\(336\) 6553.28 1247.72i 1.06402 0.202586i
\(337\) 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 −0.181268 0.983434i \(-0.558020\pi\)
−0.942313 + 0.334734i \(0.891353\pi\)
\(350\) −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 −0.888896 0.458110i \(-0.848527\pi\)
0.841183 + 0.540751i \(0.181860\pi\)
\(354\) −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
\(357\) 1612.77 + 1869.74i 0.239095 + 0.277191i
\(358\) 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
\(364\) 3542.72 8661.13i 0.510134 1.24716i
\(365\) −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 0.541486 0.840710i \(-0.317862\pi\)
−0.457333 + 0.889295i \(0.651195\pi\)
\(368\) 11655.4i 1.65103i
\(369\) −9060.81 + 960.719i −1.27828 + 0.135537i
\(370\) 176.109i 0.0247445i
\(371\) −1096.21 + 149.259i −0.153402 + 0.0208872i
\(372\) 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
\(378\) −9885.79 2312.80i −1.34516 0.314703i
\(379\) 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 0.933486 0.358614i \(-0.116751\pi\)
−0.777312 + 0.629115i \(0.783417\pi\)
\(384\) −1891.92 + 100.020i −0.251423 + 0.0132920i
\(385\) −10198.3 + 1388.60i −1.35001 + 0.183817i
\(386\) 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
\(392\) −262.321 945.426i −0.0337989 0.121814i
\(393\) 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 \(-0.977443\pi\)
0.997490 0.0708071i \(-0.0225575\pi\)
\(398\) −1873.50 + 3245.00i −0.235955 + 0.408686i
\(399\) 2997.64 2585.66i 0.376114 0.324423i
\(400\) 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 −0.810860 0.585241i \(-0.801000\pi\)
0.101403 + 0.994845i \(0.467667\pi\)
\(410\) −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 \(0.0479071\pi\)
−0.364498 + 0.931204i \(0.618760\pi\)
\(420\) −8006.82 + 1524.47i −0.930221 + 0.177111i
\(421\) 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
\(427\) 4628.28 11315.1i 0.524539 1.28238i
\(428\) 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 \(-0.909038\pi\)
0.959446 0.281891i \(-0.0909617\pi\)
\(434\) −1674.13 12295.4i −0.185163 1.35990i
\(435\) −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 0.809708 0.586834i \(-0.199626\pi\)
−0.103359 + 0.994644i \(0.532959\pi\)
\(440\) 1589.68 0.172238
\(441\) −1359.30 + 9160.70i −0.146777 + 0.989170i
\(442\) −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
\(448\) −1035.44 7604.64i −0.109197 0.801977i
\(449\) 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
\(455\) 5680.38 13887.2i 0.585276 1.43087i
\(456\) −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 −0.894490 0.447088i \(-0.852461\pi\)
0.834435 + 0.551107i \(0.185794\pi\)
\(462\) −5903.29 + 16932.8i −0.594472 + 1.70517i
\(463\) 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 \(-0.546751\pi\)
−0.146344 + 0.989234i \(0.546751\pi\)
\(468\) 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 −0.868619 0.495481i \(-0.834992\pi\)
0.863409 + 0.504505i \(0.168325\pi\)
\(480\) 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
\(483\) 15278.6 + 5326.59i 1.43934 + 0.501798i
\(484\) −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
\(490\) 4175.77 + 15049.8i 0.384984 + 1.38751i
\(491\) 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
\(497\) −56.0925 + 7.63752i −0.00506256 + 0.000689315i
\(498\) 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 \(-0.432657\pi\)
0.209989 + 0.977704i \(0.432657\pi\)
\(504\) 398.914 1373.62i 0.0352560 0.121401i
\(505\) 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 0.916093 0.400965i \(-0.131325\pi\)
−0.805293 + 0.592877i \(0.797992\pi\)
\(510\) 3308.78 + 5089.97i 0.287285 + 0.441937i
\(511\) 9296.51 1265.81i 0.804801 0.109581i
\(512\) 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
\(518\) 105.960 259.049i 0.00898770 0.0219729i
\(519\) −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 \(-0.603866\pi\)
−0.320545 + 0.947233i \(0.603866\pi\)
\(522\) −3419.68 + 362.589i −0.286734 + 0.0304025i
\(523\) 20941.4i 1.75087i 0.483335 + 0.875435i \(0.339425\pi\)
−0.483335 + 0.875435i \(0.660575\pi\)
\(524\) 4896.40 8480.81i 0.408206 0.707034i
\(525\) −1021.14 + 194.421i −0.0848878 + 0.0161624i
\(526\) −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
\(546\) −17074.4 19794.9i −1.33831 1.55154i
\(547\) −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
\(553\) 3313.25 + 1355.24i 0.254781 + 0.104214i
\(554\) −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
\(560\) −2018.46 14824.3i −0.152313 1.11864i
\(561\) 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 0.997483 0.0709043i \(-0.0225885\pi\)
−0.560146 + 0.828394i \(0.689255\pi\)
\(564\) 4710.57 3062.15i 0.351686 0.228617i
\(565\) 12838.8 + 7412.46i 0.955984 + 0.551937i
\(566\) 35546.5 2.63981
\(567\) −8703.95 + 10321.1i −0.644676 + 0.764456i
\(568\) 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
\(574\) 24198.0 3294.78i 1.75959 0.239585i
\(575\) 1816.15i 0.131719i
\(576\) 4541.54 10225.7i 0.328526 0.739704i
\(577\) 8147.17i 0.587818i −0.955833 0.293909i \(-0.905044\pi\)
0.955833 0.293909i \(-0.0949563\pi\)
\(578\) 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
\(581\) −7413.66 3032.45i −0.529381 0.216536i
\(582\) −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 −0.784026 0.620728i \(-0.786837\pi\)
0.929579 + 0.368622i \(0.120170\pi\)
\(588\) 12695.0 + 2575.07i 0.890360 + 0.180602i
\(589\) 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 \(-0.665922\pi\)
−0.497973 + 0.867193i \(0.665922\pi\)
\(594\) −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 0.0128495 0.999917i \(-0.495910\pi\)
−0.859529 + 0.511087i \(0.829243\pi\)
\(602\) 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 0.202404 0.979302i \(-0.435124\pi\)
0.949303 + 0.314364i \(0.101791\pi\)
\(608\) 5100.51 + 8834.35i 0.340219 + 0.589277i
\(609\) 586.699 + 3081.45i 0.0390382 + 0.205036i
\(610\) 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
\(616\) −2338.36 956.471i −0.152946 0.0625606i
\(617\) −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 0.484758 0.874648i \(-0.338908\pi\)
−0.515088 + 0.857137i \(0.672241\pi\)
\(620\) 14523.0i 0.940740i
\(621\) 14870.2 + 18311.7i 0.960902 + 1.18329i
\(622\) 17446.9i 1.12469i
\(623\) 2310.23 + 16967.1i 0.148567 + 1.09113i
\(624\) 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
\(630\) −6350.14 + 21866.1i −0.401581 + 1.38280i
\(631\) −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
\(637\) −16711.2 + 17009.9i −1.03944 + 1.05801i
\(638\) 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 0.0166504 0.999861i \(-0.494700\pi\)
0.874231 + 0.485511i \(0.161366\pi\)
\(644\) 8568.21 20947.3i 0.524277 1.28174i
\(645\) −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 \(-0.569092\pi\)
−0.215359 + 0.976535i \(0.569092\pi\)
\(648\) 1547.11 1398.17i 0.0937906 0.0847610i
\(649\) 26901.9i 1.62711i
\(650\) 1467.09 2541.08i 0.0885295 0.153338i
\(651\) −15581.7 5432.25i −0.938087 0.327045i
\(652\) 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 −0.688973 0.724787i \(-0.741938\pi\)
0.283198 + 0.959062i \(0.408605\pi\)
\(662\) 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
\(672\) −22534.0 7856.05i −1.29356 0.450973i
\(673\) −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 \(-0.616717\pi\)
0.987713 0.156279i \(-0.0499497\pi\)
\(678\) 21655.8 14077.5i 1.22668 0.797411i
\(679\) −7638.02 + 18673.2i −0.431694 + 1.05539i
\(680\) −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
\(686\) 2912.73 24650.2i 0.162112 1.37194i
\(687\) 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 0.952327 0.305079i \(-0.0986828\pi\)
0.211958 + 0.977279i \(0.432016\pi\)
\(692\) −28939.6 −1.58977
\(693\) 16507.2 + 17209.9i 0.904844 + 0.943360i
\(694\) −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
\(700\) 196.157 + 1440.65i 0.0105915 + 0.0777876i
\(701\) 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
\(707\) −5787.01 2367.09i −0.307840 0.125918i
\(708\) 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
\(714\) −1804.57 9477.96i −0.0945861 0.496784i
\(715\) −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 \(-0.471483\pi\)
0.0894704 + 0.995989i \(0.471483\pi\)
\(720\) 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 −0.0462657 0.998929i \(-0.514732\pi\)
−0.888231 + 0.459397i \(0.848065\pi\)
\(728\) 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 −0.706191 0.708021i \(-0.749588\pi\)
0.260069 + 0.965590i \(0.416255\pi\)
\(734\) −1334.74 2311.84i −0.0671202 0.116256i
\(735\) 20355.1 + 4128.86i 1.02151 + 0.207205i
\(736\) −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
\(742\) 4001.09 + 1636.59i 0.197958 + 0.0809719i
\(743\) 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
\(749\) −7326.67 + 997.595i −0.357424 + 0.0486666i
\(750\) 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
\(756\) 13773.5 + 12919.5i 0.662614 + 0.621531i
\(757\) 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 0.818217 0.574910i \(-0.194963\pi\)
−0.906995 + 0.421142i \(0.861630\pi\)
\(762\) −37216.5 + 1967.52i −1.76930 + 0.0935376i
\(763\) −4616.14 33902.4i −0.219024 1.60859i
\(764\) 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 −0.371420 0.928465i \(-0.621129\pi\)
0.618364 + 0.785892i \(0.287796\pi\)
\(770\) 37223.3 + 15225.7i 1.74212 + 0.712591i
\(771\) −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 \(-0.205107\pi\)