Properties

Label 63.4.o.a.20.1
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 20.1
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.67796 - 2.70082i) q^{2} +(-2.75680 - 4.40455i) q^{3} +(10.5889 + 18.3405i) q^{4} +(3.43953 + 5.95744i) q^{5} +(1.00030 + 28.0499i) q^{6} +(14.2961 + 11.7738i) q^{7} -71.1815i q^{8} +(-11.8001 + 24.2849i) q^{9} +O(q^{10})\) \(q+(-4.67796 - 2.70082i) q^{2} +(-2.75680 - 4.40455i) q^{3} +(10.5889 + 18.3405i) q^{4} +(3.43953 + 5.95744i) q^{5} +(1.00030 + 28.0499i) q^{6} +(14.2961 + 11.7738i) q^{7} -71.1815i q^{8} +(-11.8001 + 24.2849i) q^{9} -37.1582i q^{10} +(-10.9244 - 6.30723i) q^{11} +(51.5901 - 97.2002i) q^{12} +(22.5632 - 13.0269i) q^{13} +(-35.0774 - 93.6886i) q^{14} +(16.7577 - 31.5731i) q^{15} +(-107.537 + 186.260i) q^{16} +124.623 q^{17} +(120.790 - 81.7339i) q^{18} +41.3246i q^{19} +(-72.8415 + 126.165i) q^{20} +(12.4470 - 95.4257i) q^{21} +(34.0694 + 59.0099i) q^{22} +(-97.6910 + 56.4019i) q^{23} +(-313.522 + 196.233i) q^{24} +(38.8392 - 67.2715i) q^{25} -140.733 q^{26} +(139.495 - 14.9746i) q^{27} +(-64.5583 + 386.868i) q^{28} +(114.888 + 66.3304i) q^{29} +(-163.665 + 102.438i) q^{30} +(155.062 - 89.5251i) q^{31} +(512.952 - 296.153i) q^{32} +(2.33600 + 65.5050i) q^{33} +(-582.982 - 336.585i) q^{34} +(-20.9702 + 125.664i) q^{35} +(-570.347 + 40.7306i) q^{36} +148.290 q^{37} +(111.610 - 193.315i) q^{38} +(-119.580 - 63.4683i) q^{39} +(424.060 - 244.831i) q^{40} +(93.6165 + 162.149i) q^{41} +(-315.955 + 412.781i) q^{42} +(99.1611 - 171.752i) q^{43} -267.146i q^{44} +(-185.263 + 13.2303i) q^{45} +609.326 q^{46} +(-92.1405 + 159.592i) q^{47} +(1116.85 - 39.8286i) q^{48} +(65.7542 + 336.638i) q^{49} +(-363.377 + 209.796i) q^{50} +(-343.561 - 548.909i) q^{51} +(477.838 + 275.880i) q^{52} +359.147i q^{53} +(-692.994 - 306.700i) q^{54} -86.7756i q^{55} +(838.078 - 1017.61i) q^{56} +(182.016 - 113.924i) q^{57} +(-358.293 - 620.582i) q^{58} +(-182.287 - 315.730i) q^{59} +(756.510 - 26.9783i) q^{60} +(-300.892 - 173.720i) q^{61} -967.165 q^{62} +(-454.621 + 208.246i) q^{63} -1478.83 q^{64} +(155.214 + 89.6127i) q^{65} +(165.990 - 312.739i) q^{66} +(-182.332 - 315.809i) q^{67} +(1319.62 + 2285.65i) q^{68} +(517.739 + 274.796i) q^{69} +(437.494 - 531.216i) q^{70} +565.793i q^{71} +(1728.64 + 839.949i) q^{72} +737.140i q^{73} +(-693.694 - 400.504i) q^{74} +(-403.373 + 14.3849i) q^{75} +(-757.912 + 437.580i) q^{76} +(-81.9162 - 218.791i) q^{77} +(387.973 + 619.865i) q^{78} +(-451.543 + 782.096i) q^{79} -1479.51 q^{80} +(-450.515 - 573.129i) q^{81} -1011.37i q^{82} +(382.494 - 662.499i) q^{83} +(1881.95 - 782.167i) q^{84} +(428.645 + 742.436i) q^{85} +(-927.743 + 535.633i) q^{86} +(-24.5667 - 688.887i) q^{87} +(-448.958 + 777.618i) q^{88} +395.916 q^{89} +(902.385 + 438.471i) q^{90} +(475.941 + 79.4223i) q^{91} +(-2068.87 - 1194.47i) q^{92} +(-821.793 - 436.175i) q^{93} +(862.059 - 497.710i) q^{94} +(-246.189 + 142.137i) q^{95} +(-2718.53 - 1442.89i) q^{96} +(-243.773 - 140.742i) q^{97} +(601.604 - 1752.37i) q^{98} +(282.080 - 190.873i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.67796 2.70082i −1.65391 0.954885i −0.975443 0.220252i \(-0.929312\pi\)
−0.678466 0.734632i \(-0.737355\pi\)
\(3\) −2.75680 4.40455i −0.530546 0.847656i
\(4\) 10.5889 + 18.3405i 1.32361 + 2.29256i
\(5\) 3.43953 + 5.95744i 0.307641 + 0.532850i 0.977846 0.209326i \(-0.0671271\pi\)
−0.670205 + 0.742176i \(0.733794\pi\)
\(6\) 1.00030 + 28.0499i 0.0680619 + 1.90856i
\(7\) 14.2961 + 11.7738i 0.771914 + 0.635727i
\(8\) 71.1815i 3.14581i
\(9\) −11.8001 + 24.2849i −0.437041 + 0.899442i
\(10\) 37.1582i 1.17505i
\(11\) −10.9244 6.30723i −0.299440 0.172882i 0.342751 0.939426i \(-0.388641\pi\)
−0.642191 + 0.766544i \(0.721975\pi\)
\(12\) 51.5901 97.2002i 1.24106 2.33827i
\(13\) 22.5632 13.0269i 0.481377 0.277923i −0.239613 0.970869i \(-0.577021\pi\)
0.720990 + 0.692945i \(0.243687\pi\)
\(14\) −35.0774 93.6886i −0.669630 1.78852i
\(15\) 16.7577 31.5731i 0.288455 0.543475i
\(16\) −107.537 + 186.260i −1.68027 + 2.91032i
\(17\) 124.623 1.77797 0.888987 0.457932i \(-0.151410\pi\)
0.888987 + 0.457932i \(0.151410\pi\)
\(18\) 120.790 81.7339i 1.58169 1.07027i
\(19\) 41.3246i 0.498974i 0.968378 + 0.249487i \(0.0802620\pi\)
−0.968378 + 0.249487i \(0.919738\pi\)
\(20\) −72.8415 + 126.165i −0.814393 + 1.41057i
\(21\) 12.4470 95.4257i 0.129341 0.991600i
\(22\) 34.0694 + 59.0099i 0.330164 + 0.571862i
\(23\) −97.6910 + 56.4019i −0.885651 + 0.511331i −0.872517 0.488583i \(-0.837514\pi\)
−0.0131335 + 0.999914i \(0.504181\pi\)
\(24\) −313.522 + 196.233i −2.66656 + 1.66900i
\(25\) 38.8392 67.2715i 0.310714 0.538172i
\(26\) −140.733 −1.06154
\(27\) 139.495 14.9746i 0.994287 0.106735i
\(28\) −64.5583 + 386.868i −0.435727 + 2.61111i
\(29\) 114.888 + 66.3304i 0.735658 + 0.424732i 0.820489 0.571663i \(-0.193702\pi\)
−0.0848304 + 0.996395i \(0.527035\pi\)
\(30\) −163.665 + 102.438i −0.996035 + 0.623417i
\(31\) 155.062 89.5251i 0.898386 0.518683i 0.0217097 0.999764i \(-0.493089\pi\)
0.876676 + 0.481081i \(0.159756\pi\)
\(32\) 512.952 296.153i 2.83369 1.63603i
\(33\) 2.33600 + 65.5050i 0.0123226 + 0.345544i
\(34\) −582.982 336.585i −2.94061 1.69776i
\(35\) −20.9702 + 125.664i −0.101274 + 0.606890i
\(36\) −570.347 + 40.7306i −2.64049 + 0.188567i
\(37\) 148.290 0.658884 0.329442 0.944176i \(-0.393139\pi\)
0.329442 + 0.944176i \(0.393139\pi\)
\(38\) 111.610 193.315i 0.476462 0.825257i
\(39\) −119.580 63.4683i −0.490977 0.260591i
\(40\) 424.060 244.831i 1.67624 0.967779i
\(41\) 93.6165 + 162.149i 0.356596 + 0.617643i 0.987390 0.158308i \(-0.0506039\pi\)
−0.630794 + 0.775951i \(0.717271\pi\)
\(42\) −315.955 + 412.781i −1.16078 + 1.51651i
\(43\) 99.1611 171.752i 0.351673 0.609115i −0.634870 0.772619i \(-0.718946\pi\)
0.986543 + 0.163504i \(0.0522796\pi\)
\(44\) 267.146i 0.915312i
\(45\) −185.263 + 13.2303i −0.613719 + 0.0438280i
\(46\) 609.326 1.95305
\(47\) −92.1405 + 159.592i −0.285959 + 0.495295i −0.972841 0.231473i \(-0.925645\pi\)
0.686882 + 0.726769i \(0.258979\pi\)
\(48\) 1116.85 39.8286i 3.35841 0.119766i
\(49\) 65.7542 + 336.638i 0.191703 + 0.981453i
\(50\) −363.377 + 209.796i −1.02779 + 0.593392i
\(51\) −343.561 548.909i −0.943298 1.50711i
\(52\) 477.838 + 275.880i 1.27431 + 0.735724i
\(53\) 359.147i 0.930804i 0.885099 + 0.465402i \(0.154090\pi\)
−0.885099 + 0.465402i \(0.845910\pi\)
\(54\) −692.994 306.700i −1.74638 0.772899i
\(55\) 86.7756i 0.212742i
\(56\) 838.078 1017.61i 1.99987 2.42829i
\(57\) 182.016 113.924i 0.422958 0.264729i
\(58\) −358.293 620.582i −0.811141 1.40494i
\(59\) −182.287 315.730i −0.402232 0.696687i 0.591763 0.806112i \(-0.298432\pi\)
−0.993995 + 0.109425i \(0.965099\pi\)
\(60\) 756.510 26.9783i 1.62775 0.0580480i
\(61\) −300.892 173.720i −0.631561 0.364632i 0.149795 0.988717i \(-0.452139\pi\)
−0.781356 + 0.624085i \(0.785472\pi\)
\(62\) −967.165 −1.98113
\(63\) −454.621 + 208.246i −0.909157 + 0.416453i
\(64\) −1478.83 −2.88833
\(65\) 155.214 + 89.6127i 0.296183 + 0.171001i
\(66\) 165.990 312.739i 0.309574 0.583265i
\(67\) −182.332 315.809i −0.332469 0.575854i 0.650526 0.759484i \(-0.274548\pi\)
−0.982995 + 0.183630i \(0.941215\pi\)
\(68\) 1319.62 + 2285.65i 2.35334 + 4.07611i
\(69\) 517.739 + 274.796i 0.903312 + 0.479442i
\(70\) 437.494 531.216i 0.747008 0.907035i
\(71\) 565.793i 0.945736i 0.881133 + 0.472868i \(0.156781\pi\)
−0.881133 + 0.472868i \(0.843219\pi\)
\(72\) 1728.64 + 839.949i 2.82947 + 1.37485i
\(73\) 737.140i 1.18186i 0.806723 + 0.590929i \(0.201239\pi\)
−0.806723 + 0.590929i \(0.798761\pi\)
\(74\) −693.694 400.504i −1.08973 0.629158i
\(75\) −403.373 + 14.3849i −0.621033 + 0.0221469i
\(76\) −757.912 + 437.580i −1.14393 + 0.660446i
\(77\) −81.9162 218.791i −0.121237 0.323812i
\(78\) 387.973 + 619.865i 0.563196 + 0.899820i
\(79\) −451.543 + 782.096i −0.643070 + 1.11383i 0.341673 + 0.939819i \(0.389006\pi\)
−0.984744 + 0.174012i \(0.944327\pi\)
\(80\) −1479.51 −2.06768
\(81\) −450.515 573.129i −0.617991 0.786186i
\(82\) 1011.37i 1.36203i
\(83\) 382.494 662.499i 0.505833 0.876129i −0.494144 0.869380i \(-0.664519\pi\)
0.999977 0.00674855i \(-0.00214815\pi\)
\(84\) 1881.95 782.167i 2.44450 1.01597i
\(85\) 428.645 + 742.436i 0.546978 + 0.947393i
\(86\) −927.743 + 535.633i −1.16327 + 0.671614i
\(87\) −24.5667 688.887i −0.0302739 0.848925i
\(88\) −448.958 + 777.618i −0.543853 + 0.941981i
\(89\) 395.916 0.471539 0.235770 0.971809i \(-0.424239\pi\)
0.235770 + 0.971809i \(0.424239\pi\)
\(90\) 902.385 + 438.471i 1.05689 + 0.513543i
\(91\) 475.941 + 79.4223i 0.548265 + 0.0914914i
\(92\) −2068.87 1194.47i −2.34451 1.35360i
\(93\) −821.793 436.175i −0.916300 0.486336i
\(94\) 862.059 497.710i 0.945900 0.546115i
\(95\) −246.189 + 142.137i −0.265878 + 0.153505i
\(96\) −2718.53 1442.89i −2.89019 1.53400i
\(97\) −243.773 140.742i −0.255169 0.147322i 0.366960 0.930237i \(-0.380399\pi\)
−0.622129 + 0.782915i \(0.713732\pi\)
\(98\) 601.604 1752.37i 0.620114 1.80629i
\(99\) 282.080 190.873i 0.286365 0.193773i
\(100\) 1645.06 1.64506
\(101\) −552.396 + 956.777i −0.544212 + 0.942603i 0.454444 + 0.890775i \(0.349838\pi\)
−0.998656 + 0.0518275i \(0.983495\pi\)
\(102\) 124.661 + 3495.67i 0.121012 + 3.39336i
\(103\) 1350.73 779.844i 1.29215 0.746023i 0.313114 0.949715i \(-0.398628\pi\)
0.979035 + 0.203693i \(0.0652944\pi\)
\(104\) −927.272 1606.08i −0.874293 1.51432i
\(105\) 611.305 254.067i 0.568165 0.236138i
\(106\) 969.991 1680.07i 0.888810 1.53946i
\(107\) 741.988i 0.670380i −0.942151 0.335190i \(-0.891200\pi\)
0.942151 0.335190i \(-0.108800\pi\)
\(108\) 1751.73 + 2399.83i 1.56074 + 2.13819i
\(109\) −694.460 −0.610249 −0.305125 0.952312i \(-0.598698\pi\)
−0.305125 + 0.952312i \(0.598698\pi\)
\(110\) −234.365 + 405.933i −0.203144 + 0.351856i
\(111\) −408.806 653.150i −0.349569 0.558507i
\(112\) −3730.36 + 1396.66i −3.14719 + 1.17832i
\(113\) 1407.16 812.424i 1.17145 0.676340i 0.217432 0.976075i \(-0.430232\pi\)
0.954022 + 0.299736i \(0.0968985\pi\)
\(114\) −1159.15 + 41.3370i −0.952319 + 0.0339611i
\(115\) −672.022 387.992i −0.544925 0.314613i
\(116\) 2809.46i 2.24872i
\(117\) 50.1084 + 701.664i 0.0395943 + 0.554435i
\(118\) 1969.30i 1.53634i
\(119\) 1781.62 + 1467.29i 1.37244 + 1.13031i
\(120\) −2247.42 1192.84i −1.70967 0.907425i
\(121\) −585.938 1014.87i −0.440224 0.762490i
\(122\) 938.373 + 1625.31i 0.696363 + 1.20614i
\(123\) 456.109 859.350i 0.334358 0.629959i
\(124\) 3283.86 + 1895.94i 2.37822 + 1.37307i
\(125\) 1394.24 0.997636
\(126\) 2689.14 + 253.683i 1.90133 + 0.179364i
\(127\) −1099.84 −0.768466 −0.384233 0.923236i \(-0.625534\pi\)
−0.384233 + 0.923236i \(0.625534\pi\)
\(128\) 2814.28 + 1624.82i 1.94335 + 1.12200i
\(129\) −1029.86 + 36.7262i −0.702899 + 0.0250664i
\(130\) −484.056 838.409i −0.326573 0.565641i
\(131\) −597.844 1035.50i −0.398732 0.690624i 0.594838 0.803846i \(-0.297216\pi\)
−0.993570 + 0.113222i \(0.963883\pi\)
\(132\) −1176.66 + 736.467i −0.775870 + 0.485616i
\(133\) −486.548 + 590.778i −0.317211 + 0.385165i
\(134\) 1969.79i 1.26988i
\(135\) 569.006 + 779.526i 0.362758 + 0.496970i
\(136\) 8870.86i 5.59316i
\(137\) −1175.08 678.431i −0.732800 0.423082i 0.0866457 0.996239i \(-0.472385\pi\)
−0.819446 + 0.573157i \(0.805719\pi\)
\(138\) −1679.79 2683.81i −1.03618 1.65551i
\(139\) −828.064 + 478.083i −0.505291 + 0.291730i −0.730896 0.682489i \(-0.760898\pi\)
0.225605 + 0.974219i \(0.427564\pi\)
\(140\) −2526.79 + 946.041i −1.52538 + 0.571108i
\(141\) 956.944 34.1260i 0.571554 0.0203825i
\(142\) 1528.10 2646.76i 0.903068 1.56416i
\(143\) −328.654 −0.192192
\(144\) −3254.37 4809.43i −1.88331 2.78324i
\(145\) 912.582i 0.522660i
\(146\) 1990.88 3448.31i 1.12854 1.95469i
\(147\) 1301.47 1217.66i 0.730227 0.683205i
\(148\) 1570.22 + 2719.70i 0.872105 + 1.51053i
\(149\) −166.537 + 96.1501i −0.0915653 + 0.0528653i −0.545083 0.838382i \(-0.683502\pi\)
0.453518 + 0.891247i \(0.350169\pi\)
\(150\) 1925.81 + 1022.15i 1.04828 + 0.556386i
\(151\) −307.926 + 533.343i −0.165951 + 0.287436i −0.936993 0.349349i \(-0.886403\pi\)
0.771041 + 0.636785i \(0.219736\pi\)
\(152\) 2941.54 1.56968
\(153\) −1470.57 + 3026.46i −0.777047 + 1.59918i
\(154\) −207.714 + 1244.74i −0.108689 + 0.651322i
\(155\) 1066.68 + 615.849i 0.552761 + 0.319137i
\(156\) −102.177 2865.21i −0.0524406 1.47051i
\(157\) 722.630 417.211i 0.367339 0.212083i −0.304956 0.952366i \(-0.598642\pi\)
0.672295 + 0.740283i \(0.265309\pi\)
\(158\) 4224.60 2439.07i 2.12716 1.22812i
\(159\) 1581.88 990.096i 0.789001 0.493835i
\(160\) 3528.63 + 2037.26i 1.74352 + 1.00662i
\(161\) −2060.66 343.871i −1.00871 0.168328i
\(162\) 559.572 + 3897.84i 0.271383 + 1.89039i
\(163\) −3304.12 −1.58772 −0.793860 0.608100i \(-0.791932\pi\)
−0.793860 + 0.608100i \(0.791932\pi\)
\(164\) −1982.59 + 3433.94i −0.943988 + 1.63504i
\(165\) −382.207 + 239.223i −0.180332 + 0.112870i
\(166\) −3578.58 + 2066.09i −1.67320 + 0.966024i
\(167\) −956.456 1656.63i −0.443190 0.767628i 0.554734 0.832028i \(-0.312820\pi\)
−0.997924 + 0.0643998i \(0.979487\pi\)
\(168\) −6792.54 885.997i −3.11938 0.406882i
\(169\) −759.101 + 1314.80i −0.345517 + 0.598453i
\(170\) 4630.78i 2.08920i
\(171\) −1003.56 487.634i −0.448798 0.218072i
\(172\) 4200.02 1.86191
\(173\) −313.536 + 543.061i −0.137790 + 0.238660i −0.926660 0.375901i \(-0.877333\pi\)
0.788870 + 0.614561i \(0.210667\pi\)
\(174\) −1745.64 + 3288.94i −0.760555 + 1.43295i
\(175\) 1347.29 504.431i 0.581975 0.217894i
\(176\) 2349.57 1356.53i 1.00628 0.580977i
\(177\) −888.120 + 1673.30i −0.377148 + 0.710579i
\(178\) −1852.08 1069.30i −0.779883 0.450266i
\(179\) 1174.10i 0.490259i −0.969490 0.245130i \(-0.921169\pi\)
0.969490 0.245130i \(-0.0788305\pi\)
\(180\) −2204.38 3257.71i −0.912802 1.34898i
\(181\) 1625.05i 0.667344i 0.942689 + 0.333672i \(0.108288\pi\)
−0.942689 + 0.333672i \(0.891712\pi\)
\(182\) −2011.93 1656.97i −0.819417 0.674849i
\(183\) 64.3405 + 1804.20i 0.0259901 + 0.728801i
\(184\) 4014.77 + 6953.79i 1.60855 + 2.78609i
\(185\) 510.048 + 883.428i 0.202700 + 0.351086i
\(186\) 2666.28 + 4259.93i 1.05108 + 1.67932i
\(187\) −1361.44 786.027i −0.532397 0.307380i
\(188\) −3902.65 −1.51399
\(189\) 2170.53 + 1428.31i 0.835359 + 0.549704i
\(190\) 1535.55 0.586318
\(191\) 113.173 + 65.3404i 0.0428739 + 0.0247532i 0.521284 0.853383i \(-0.325453\pi\)
−0.478410 + 0.878137i \(0.658787\pi\)
\(192\) 4076.83 + 6513.56i 1.53240 + 2.44831i
\(193\) −570.103 987.447i −0.212626 0.368280i 0.739909 0.672707i \(-0.234868\pi\)
−0.952536 + 0.304427i \(0.901535\pi\)
\(194\) 760.240 + 1316.77i 0.281351 + 0.487314i
\(195\) −33.1898 930.691i −0.0121886 0.341785i
\(196\) −5477.84 + 4770.58i −1.99630 + 1.73855i
\(197\) 3462.71i 1.25232i −0.779693 0.626162i \(-0.784625\pi\)
0.779693 0.626162i \(-0.215375\pi\)
\(198\) −1835.07 + 131.049i −0.658651 + 0.0470368i
\(199\) 2522.77i 0.898667i 0.893364 + 0.449333i \(0.148338\pi\)
−0.893364 + 0.449333i \(0.851662\pi\)
\(200\) −4788.49 2764.63i −1.69299 0.977446i
\(201\) −888.342 + 1673.71i −0.311735 + 0.587337i
\(202\) 5168.17 2983.84i 1.80015 1.03932i
\(203\) 861.477 + 2300.93i 0.297851 + 0.795534i
\(204\) 6429.32 12113.4i 2.20658 4.15739i
\(205\) −643.994 + 1115.43i −0.219407 + 0.380025i
\(206\) −8424.88 −2.84946
\(207\) −216.952 3037.97i −0.0728466 1.02006i
\(208\) 5603.51i 1.86795i
\(209\) 260.643 451.447i 0.0862635 0.149413i
\(210\) −3545.85 462.509i −1.16518 0.151982i
\(211\) −1033.33 1789.77i −0.337143 0.583948i 0.646751 0.762701i \(-0.276127\pi\)
−0.983894 + 0.178753i \(0.942794\pi\)
\(212\) −6586.92 + 3802.96i −2.13392 + 1.23202i
\(213\) 2492.06 1559.78i 0.801658 0.501757i
\(214\) −2003.98 + 3470.99i −0.640135 + 1.10875i
\(215\) 1364.27 0.432756
\(216\) −1065.91 9929.44i −0.335769 3.12784i
\(217\) 3270.83 + 545.817i 1.02322 + 0.170749i
\(218\) 3248.65 + 1875.61i 1.00930 + 0.582718i
\(219\) 3246.77 2032.15i 1.00181 0.627031i
\(220\) 1591.51 918.856i 0.487724 0.281588i
\(221\) 2811.90 1623.45i 0.855877 0.494141i
\(222\) 148.335 + 4159.52i 0.0448449 + 1.25752i
\(223\) −5321.42 3072.32i −1.59797 0.922591i −0.991877 0.127201i \(-0.959401\pi\)
−0.606097 0.795390i \(-0.707266\pi\)
\(224\) 10820.0 + 1805.59i 3.22743 + 0.538575i
\(225\) 1175.38 + 1737.02i 0.348260 + 0.514672i
\(226\) −8776.84 −2.58331
\(227\) 455.878 789.603i 0.133294 0.230871i −0.791651 0.610974i \(-0.790778\pi\)
0.924944 + 0.380103i \(0.124111\pi\)
\(228\) 4016.76 + 2131.94i 1.16674 + 0.619259i
\(229\) 2305.74 1331.22i 0.665360 0.384146i −0.128956 0.991650i \(-0.541163\pi\)
0.794316 + 0.607504i \(0.207829\pi\)
\(230\) 2095.80 + 3630.02i 0.600838 + 1.04068i
\(231\) −737.848 + 963.966i −0.210160 + 0.274564i
\(232\) 4721.49 8177.87i 1.33613 2.31424i
\(233\) 1984.29i 0.557918i 0.960303 + 0.278959i \(0.0899894\pi\)
−0.960303 + 0.278959i \(0.910011\pi\)
\(234\) 1660.66 3417.69i 0.463936 0.954792i
\(235\) −1267.68 −0.351891
\(236\) 3860.42 6686.45i 1.06480 1.84428i
\(237\) 4689.59 167.238i 1.28532 0.0458365i
\(238\) −4371.45 11675.8i −1.19059 3.17995i
\(239\) −1544.98 + 891.996i −0.418145 + 0.241416i −0.694283 0.719702i \(-0.744278\pi\)
0.276138 + 0.961118i \(0.410945\pi\)
\(240\) 4078.72 + 6516.59i 1.09700 + 1.75268i
\(241\) 5182.09 + 2991.88i 1.38510 + 0.799685i 0.992757 0.120136i \(-0.0383331\pi\)
0.392338 + 0.919821i \(0.371666\pi\)
\(242\) 6330.05i 1.68145i
\(243\) −1282.40 + 3564.32i −0.338542 + 0.940951i
\(244\) 7357.99i 1.93052i
\(245\) −1779.34 + 1549.61i −0.463991 + 0.404084i
\(246\) −4454.61 + 2788.13i −1.15454 + 0.722622i
\(247\) 538.330 + 932.414i 0.138677 + 0.240195i
\(248\) −6372.53 11037.5i −1.63168 2.82615i
\(249\) −3972.47 + 141.664i −1.01102 + 0.0360546i
\(250\) −6522.19 3765.59i −1.65000 0.952627i
\(251\) 6093.37 1.53231 0.766155 0.642656i \(-0.222167\pi\)
0.766155 + 0.642656i \(0.222167\pi\)
\(252\) −8633.26 6132.87i −2.15811 1.53307i
\(253\) 1422.96 0.353599
\(254\) 5145.02 + 2970.48i 1.27097 + 0.733797i
\(255\) 2088.40 3934.74i 0.512866 0.966285i
\(256\) −2861.40 4956.10i −0.698585 1.20998i
\(257\) −2276.03 3942.19i −0.552431 0.956838i −0.998098 0.0616394i \(-0.980367\pi\)
0.445668 0.895198i \(-0.352966\pi\)
\(258\) 4916.83 + 2609.66i 1.18647 + 0.629730i
\(259\) 2119.96 + 1745.94i 0.508602 + 0.418870i
\(260\) 3795.59i 0.905355i
\(261\) −2966.51 + 2007.33i −0.703535 + 0.476056i
\(262\) 6458.68i 1.52297i
\(263\) −773.268 446.447i −0.181300 0.104673i 0.406604 0.913605i \(-0.366713\pi\)
−0.587903 + 0.808931i \(0.700046\pi\)
\(264\) 4662.74 166.280i 1.08701 0.0387645i
\(265\) −2139.60 + 1235.30i −0.495979 + 0.286353i
\(266\) 3871.64 1449.56i 0.892426 0.334128i
\(267\) −1091.46 1743.83i −0.250174 0.399703i
\(268\) 3861.39 6688.12i 0.880119 1.52441i
\(269\) 1159.42 0.262792 0.131396 0.991330i \(-0.458054\pi\)
0.131396 + 0.991330i \(0.458054\pi\)
\(270\) −556.428 5183.38i −0.125419 1.16833i
\(271\) 2122.71i 0.475813i 0.971288 + 0.237907i \(0.0764612\pi\)
−0.971288 + 0.237907i \(0.923539\pi\)
\(272\) −13401.7 + 23212.4i −2.98748 + 5.17447i
\(273\) −962.254 2315.26i −0.213327 0.513281i
\(274\) 3664.64 + 6347.35i 0.807989 + 1.39948i
\(275\) −848.594 + 489.936i −0.186080 + 0.107434i
\(276\) 442.393 + 12405.4i 0.0964817 + 2.70549i
\(277\) 1721.64 2981.97i 0.373442 0.646821i −0.616650 0.787237i \(-0.711511\pi\)
0.990093 + 0.140416i \(0.0448440\pi\)
\(278\) 5164.87 1.11427
\(279\) 344.362 + 4822.08i 0.0738940 + 1.03473i
\(280\) 8944.97 + 1492.69i 1.90916 + 0.318590i
\(281\) −3015.50 1741.00i −0.640178 0.369607i 0.144505 0.989504i \(-0.453841\pi\)
−0.784683 + 0.619897i \(0.787174\pi\)
\(282\) −4568.71 2424.89i −0.964762 0.512058i
\(283\) 3071.99 1773.61i 0.645268 0.372546i −0.141373 0.989956i \(-0.545152\pi\)
0.786641 + 0.617411i \(0.211818\pi\)
\(284\) −10376.9 + 5991.11i −2.16815 + 1.25178i
\(285\) 1304.74 + 692.507i 0.271180 + 0.143932i
\(286\) 1537.43 + 887.635i 0.317867 + 0.183521i
\(287\) −570.762 + 3420.31i −0.117390 + 0.703465i
\(288\) 1139.17 + 15951.6i 0.233076 + 3.26375i
\(289\) 10617.9 2.16119
\(290\) 2464.72 4269.02i 0.499080 0.864433i
\(291\) 52.1267 + 1461.71i 0.0105008 + 0.294457i
\(292\) −13519.5 + 7805.48i −2.70948 + 1.56432i
\(293\) 1203.25 + 2084.09i 0.239914 + 0.415542i 0.960689 0.277626i \(-0.0895476\pi\)
−0.720776 + 0.693168i \(0.756214\pi\)
\(294\) −9376.91 + 2181.14i −1.86011 + 0.432676i
\(295\) 1253.96 2171.93i 0.247486 0.428659i
\(296\) 10555.5i 2.07272i
\(297\) −1618.35 716.236i −0.316182 0.139933i
\(298\) 1038.74 0.201921
\(299\) −1469.48 + 2545.22i −0.284222 + 0.492286i
\(300\) −4535.09 7245.73i −0.872778 1.39444i
\(301\) 3439.79 1287.87i 0.658692 0.246617i
\(302\) 2880.93 1663.30i 0.548936 0.316929i
\(303\) 5737.02 204.590i 1.08773 0.0387901i
\(304\) −7697.13 4443.94i −1.45217 0.838412i
\(305\) 2390.06i 0.448703i
\(306\) 15053.2 10185.9i 2.81220 1.90291i
\(307\) 7862.81i 1.46174i −0.682517 0.730870i \(-0.739114\pi\)
0.682517 0.730870i \(-0.260886\pi\)
\(308\) 3145.33 3819.13i 0.581888 0.706542i
\(309\) −7158.55 3799.48i −1.31792 0.699498i
\(310\) −3326.60 5761.83i −0.609477 1.05565i
\(311\) −1367.04 2367.77i −0.249252 0.431718i 0.714066 0.700078i \(-0.246852\pi\)
−0.963319 + 0.268360i \(0.913518\pi\)
\(312\) −4517.76 + 8511.86i −0.819769 + 1.54452i
\(313\) −3509.53 2026.23i −0.633771 0.365908i 0.148440 0.988921i \(-0.452575\pi\)
−0.782211 + 0.623014i \(0.785908\pi\)
\(314\) −4507.25 −0.810060
\(315\) −2804.30 1992.11i −0.501601 0.356326i
\(316\) −19125.3 −3.40470
\(317\) −968.686 559.271i −0.171630 0.0990909i 0.411724 0.911309i \(-0.364927\pi\)
−0.583354 + 0.812218i \(0.698260\pi\)
\(318\) −10074.0 + 359.255i −1.77649 + 0.0633523i
\(319\) −836.721 1449.24i −0.146857 0.254364i
\(320\) −5086.47 8810.03i −0.888570 1.53905i
\(321\) −3268.12 + 2045.51i −0.568251 + 0.355668i
\(322\) 8710.95 + 7174.09i 1.50759 + 1.24160i
\(323\) 5150.00i 0.887163i
\(324\) 5741.01 14331.4i 0.984398 2.45738i
\(325\) 2023.82i 0.345419i
\(326\) 15456.5 + 8923.83i 2.62594 + 1.51609i
\(327\) 1914.49 + 3058.78i 0.323766 + 0.517281i
\(328\) 11542.0 6663.76i 1.94298 1.12178i
\(329\) −3196.25 + 1196.69i −0.535608 + 0.200534i
\(330\) 2434.05 86.8018i 0.406030 0.0144796i
\(331\) 3521.44 6099.32i 0.584761 1.01284i −0.410144 0.912021i \(-0.634521\pi\)
0.994905 0.100815i \(-0.0321452\pi\)
\(332\) 16200.7 2.67810
\(333\) −1749.84 + 3601.21i −0.287959 + 0.592628i
\(334\) 10332.9i 1.69278i
\(335\) 1254.28 2172.47i 0.204562 0.354313i
\(336\) 16435.5 + 12580.2i 2.66854 + 2.04258i
\(337\) 1296.20 + 2245.08i 0.209520 + 0.362900i 0.951564 0.307452i \(-0.0994764\pi\)
−0.742043 + 0.670352i \(0.766143\pi\)
\(338\) 7102.09 4100.39i 1.14291 0.659858i
\(339\) −7457.62 3958.21i −1.19481 0.634161i
\(340\) −9077.74 + 15723.1i −1.44797 + 2.50796i
\(341\) −2258.62 −0.358684
\(342\) 3377.62 + 4991.58i 0.534037 + 0.789221i
\(343\) −3023.49 + 5586.78i −0.475957 + 0.879468i
\(344\) −12225.6 7058.43i −1.91616 1.10629i
\(345\) 143.700 + 4029.57i 0.0224248 + 0.628826i
\(346\) 2933.42 1693.61i 0.455785 0.263148i
\(347\) −7226.45 + 4172.19i −1.11797 + 0.645462i −0.940882 0.338733i \(-0.890002\pi\)
−0.177090 + 0.984195i \(0.556668\pi\)
\(348\) 12374.4 7745.11i 1.90614 1.19305i
\(349\) −9981.26 5762.68i −1.53090 0.883866i −0.999320 0.0368588i \(-0.988265\pi\)
−0.531581 0.847008i \(-0.678402\pi\)
\(350\) −7664.95 1279.08i −1.17060 0.195343i
\(351\) 2952.38 2155.05i 0.448963 0.327716i
\(352\) −7471.62 −1.13136
\(353\) −5107.82 + 8847.00i −0.770146 + 1.33393i 0.167336 + 0.985900i \(0.446484\pi\)
−0.937482 + 0.348033i \(0.886850\pi\)
\(354\) 8673.86 5428.95i 1.30229 0.815101i
\(355\) −3370.68 + 1946.06i −0.503935 + 0.290947i
\(356\) 4192.30 + 7261.28i 0.624134 + 1.08103i
\(357\) 1551.19 11892.3i 0.229965 1.76304i
\(358\) −3171.04 + 5492.40i −0.468141 + 0.810844i
\(359\) 6593.91i 0.969396i 0.874682 + 0.484698i \(0.161070\pi\)
−0.874682 + 0.484698i \(0.838930\pi\)
\(360\) 941.753 + 13187.3i 0.137874 + 1.93064i
\(361\) 5151.28 0.751025
\(362\) 4388.98 7601.93i 0.637236 1.10373i
\(363\) −2854.75 + 5378.60i −0.412770 + 0.777695i
\(364\) 3583.03 + 9569.97i 0.515940 + 1.37803i
\(365\) −4391.47 + 2535.41i −0.629753 + 0.363588i
\(366\) 4571.85 8613.76i 0.652935 1.23019i
\(367\) 4531.96 + 2616.53i 0.644595 + 0.372157i 0.786382 0.617740i \(-0.211952\pi\)
−0.141787 + 0.989897i \(0.545285\pi\)
\(368\) 24261.3i 3.43670i
\(369\) −5042.45 + 360.100i −0.711381 + 0.0508023i
\(370\) 5510.19i 0.774219i
\(371\) −4228.53 + 5134.38i −0.591737 + 0.718501i
\(372\) −702.198 19690.7i −0.0978690 2.74439i
\(373\) 4889.02 + 8468.04i 0.678670 + 1.17549i 0.975381 + 0.220524i \(0.0707768\pi\)
−0.296711 + 0.954967i \(0.595890\pi\)
\(374\) 4245.84 + 7354.00i 0.587024 + 1.01676i
\(375\) −3843.64 6140.99i −0.529292 0.845652i
\(376\) 11360.0 + 6558.69i 1.55810 + 0.899571i
\(377\) 3456.31 0.472172
\(378\) −6296.05 12543.8i −0.856703 1.70683i
\(379\) −3637.54 −0.493002 −0.246501 0.969143i \(-0.579281\pi\)
−0.246501 + 0.969143i \(0.579281\pi\)
\(380\) −5213.72 3010.14i −0.703837 0.406361i
\(381\) 3032.05 + 4844.31i 0.407707 + 0.651395i
\(382\) −352.946 611.320i −0.0472730 0.0818792i
\(383\) −4495.26 7786.02i −0.599731 1.03876i −0.992860 0.119281i \(-0.961941\pi\)
0.393129 0.919483i \(-0.371392\pi\)
\(384\) −601.784 16874.9i −0.0799731 2.24256i
\(385\) 1021.68 1240.55i 0.135246 0.164219i
\(386\) 6158.98i 0.812134i
\(387\) 3000.88 + 4434.81i 0.394168 + 0.582517i
\(388\) 5961.21i 0.779987i
\(389\) −4843.12 2796.17i −0.631249 0.364452i 0.149987 0.988688i \(-0.452077\pi\)
−0.781236 + 0.624236i \(0.785410\pi\)
\(390\) −2358.37 + 4443.37i −0.306207 + 0.576920i
\(391\) −12174.6 + 7028.99i −1.57466 + 0.909133i
\(392\) 23962.4 4680.48i 3.08746 0.603062i
\(393\) −2912.76 + 5487.89i −0.373865 + 0.704395i
\(394\) −9352.16 + 16198.4i −1.19583 + 2.07123i
\(395\) −6212.39 −0.791339
\(396\) 6487.61 + 3152.35i 0.823270 + 0.400029i
\(397\) 11561.7i 1.46163i −0.682575 0.730815i \(-0.739140\pi\)
0.682575 0.730815i \(-0.260860\pi\)
\(398\) 6813.56 11801.4i 0.858123 1.48631i
\(399\) 3943.43 + 514.367i 0.494783 + 0.0645378i
\(400\) 8353.35 + 14468.4i 1.04417 + 1.80855i
\(401\) 3685.19 2127.65i 0.458927 0.264962i −0.252666 0.967554i \(-0.581307\pi\)
0.711593 + 0.702592i \(0.247974\pi\)
\(402\) 8676.03 5430.32i 1.07642 0.673730i
\(403\) 2332.46 4039.95i 0.288308 0.499365i
\(404\) −23397.0 −2.88130
\(405\) 1864.82 4655.21i 0.228800 0.571159i
\(406\) 2184.44 13090.3i 0.267025 1.60015i
\(407\) −1619.98 935.298i −0.197296 0.113909i
\(408\) −39072.1 + 24455.2i −4.74108 + 2.96743i
\(409\) −4853.21 + 2802.00i −0.586738 + 0.338753i −0.763807 0.645445i \(-0.776672\pi\)
0.177068 + 0.984199i \(0.443339\pi\)
\(410\) 6025.16 3478.63i 0.725759 0.419017i
\(411\) 251.270 + 7045.98i 0.0301563 + 0.845627i
\(412\) 28605.4 + 16515.3i 3.42060 + 1.97488i
\(413\) 1111.37 6659.90i 0.132413 0.793492i
\(414\) −7190.11 + 14797.4i −0.853562 + 1.75665i
\(415\) 5262.40 0.622460
\(416\) 7715.90 13364.3i 0.909382 1.57510i
\(417\) 4388.55 + 2329.27i 0.515367 + 0.273537i
\(418\) −2438.56 + 1407.90i −0.285344 + 0.164743i
\(419\) 2039.72 + 3532.89i 0.237820 + 0.411917i 0.960089 0.279696i \(-0.0902338\pi\)
−0.722268 + 0.691613i \(0.756900\pi\)
\(420\) 11132.7 + 8521.34i 1.29339 + 0.989997i
\(421\) 8228.54 14252.3i 0.952576 1.64991i 0.212756 0.977105i \(-0.431756\pi\)
0.739820 0.672805i \(-0.234911\pi\)
\(422\) 11163.3i 1.28773i
\(423\) −2788.41 4120.83i −0.320514 0.473668i
\(424\) 25564.6 2.92813
\(425\) 4840.27 8383.60i 0.552441 0.956857i
\(426\) −15870.4 + 565.963i −1.80499 + 0.0643685i
\(427\) −2256.22 6026.15i −0.255705 0.682965i
\(428\) 13608.4 7856.81i 1.53688 0.887321i
\(429\) 906.033 + 1447.57i 0.101967 + 0.162912i
\(430\) −6382.01 3684.65i −0.715739 0.413232i
\(431\) 354.675i 0.0396382i 0.999804 + 0.0198191i \(0.00630903\pi\)
−0.999804 + 0.0198191i \(0.993691\pi\)
\(432\) −12211.7 + 27592.7i −1.36004 + 3.07304i
\(433\) 3100.88i 0.344155i 0.985083 + 0.172077i \(0.0550479\pi\)
−0.985083 + 0.172077i \(0.944952\pi\)
\(434\) −13826.6 11387.2i −1.52926 1.25946i
\(435\) 4019.51 2515.81i 0.443036 0.277296i
\(436\) −7353.55 12736.7i −0.807732 1.39903i
\(437\) −2330.78 4037.04i −0.255141 0.441917i
\(438\) −20676.7 + 737.362i −2.25564 + 0.0804395i
\(439\) 13194.9 + 7618.07i 1.43453 + 0.828224i 0.997462 0.0712055i \(-0.0226846\pi\)
0.437065 + 0.899430i \(0.356018\pi\)
\(440\) −6176.82 −0.669246
\(441\) −8951.14 2375.53i −0.966542 0.256509i
\(442\) −17538.6 −1.88739
\(443\) 9086.84 + 5246.29i 0.974557 + 0.562661i 0.900623 0.434602i \(-0.143111\pi\)
0.0739349 + 0.997263i \(0.476444\pi\)
\(444\) 7650.28 14413.8i 0.817717 1.54065i
\(445\) 1361.77 + 2358.65i 0.145065 + 0.251260i
\(446\) 16595.6 + 28744.4i 1.76194 + 3.05176i
\(447\) 882.607 + 468.453i 0.0933912 + 0.0495684i
\(448\) −21141.4 17411.4i −2.22955 1.83619i
\(449\) 13387.2i 1.40708i −0.710656 0.703540i \(-0.751602\pi\)
0.710656 0.703540i \(-0.248398\pi\)
\(450\) −806.989 11300.2i −0.0845374 1.18377i
\(451\) 2361.84i 0.246596i
\(452\) 29800.5 + 17205.3i 3.10110 + 1.79042i
\(453\) 3198.02 114.046i 0.331692 0.0118286i
\(454\) −4265.16 + 2462.49i −0.440911 + 0.254560i
\(455\) 1163.86 + 3108.57i 0.119918 + 0.320290i
\(456\) −8109.25 12956.2i −0.832786 1.33054i
\(457\) −8043.99 + 13932.6i −0.823374 + 1.42613i 0.0797820 + 0.996812i \(0.474578\pi\)
−0.903156 + 0.429313i \(0.858756\pi\)
\(458\) −14381.5 −1.46726
\(459\) 17384.3 1866.18i 1.76782 0.189773i
\(460\) 16433.6i 1.66570i
\(461\) 9398.54 16278.7i 0.949530 1.64463i 0.203115 0.979155i \(-0.434894\pi\)
0.746416 0.665480i \(-0.231773\pi\)
\(462\) 6055.13 2516.60i 0.609762 0.253426i
\(463\) −108.245 187.487i −0.0108652 0.0188191i 0.860542 0.509380i \(-0.170125\pi\)
−0.871407 + 0.490561i \(0.836792\pi\)
\(464\) −24709.4 + 14266.0i −2.47221 + 1.42733i
\(465\) −228.091 6396.02i −0.0227473 0.637868i
\(466\) 5359.20 9282.42i 0.532748 0.922746i
\(467\) 15356.4 1.52165 0.760826 0.648956i \(-0.224794\pi\)
0.760826 + 0.648956i \(0.224794\pi\)
\(468\) −12338.3 + 8348.84i −1.21867 + 0.824627i
\(469\) 1111.65 6661.57i 0.109448 0.655869i
\(470\) 5930.16 + 3423.78i 0.581995 + 0.336015i
\(471\) −3829.77 2032.69i −0.374664 0.198857i
\(472\) −22474.1 + 12975.4i −2.19164 + 1.26535i
\(473\) −2166.56 + 1250.86i −0.210610 + 0.121596i
\(474\) −22389.4 11883.4i −2.16958 1.15153i
\(475\) 2779.97 + 1605.01i 0.268534 + 0.155038i
\(476\) −8045.46 + 48212.7i −0.774712 + 4.64249i
\(477\) −8721.85 4237.97i −0.837204 0.406799i
\(478\) 9636.49 0.922098
\(479\) −8696.60 + 15063.0i −0.829557 + 1.43683i 0.0688295 + 0.997628i \(0.478074\pi\)
−0.898386 + 0.439206i \(0.855260\pi\)
\(480\) −754.537 21158.3i −0.0717494 2.01196i
\(481\) 3345.89 1931.75i 0.317172 0.183119i
\(482\) −16161.1 27991.8i −1.52721 2.64521i
\(483\) 4166.23 + 10024.3i 0.392485 + 0.944348i
\(484\) 12408.8 21492.7i 1.16537 2.01848i
\(485\) 1936.35i 0.181289i
\(486\) 15625.6 13210.2i 1.45842 1.23298i
\(487\) −14133.8 −1.31512 −0.657560 0.753402i \(-0.728412\pi\)
−0.657560 + 0.753402i \(0.728412\pi\)
\(488\) −12365.6 + 21417.9i −1.14706 + 1.98677i
\(489\) 9108.79 + 14553.1i 0.842359 + 1.34584i
\(490\) 12508.9 2443.31i 1.15325 0.225260i
\(491\) −7929.45 + 4578.07i −0.728821 + 0.420785i −0.817991 0.575232i \(-0.804912\pi\)
0.0891699 + 0.996016i \(0.471579\pi\)
\(492\) 20590.6 734.289i 1.88678 0.0672852i
\(493\) 14317.7 + 8266.30i 1.30798 + 0.755163i
\(494\) 5815.73i 0.529680i
\(495\) 2107.34 + 1023.96i 0.191349 + 0.0929770i
\(496\) 38509.2i 3.48612i
\(497\) −6661.54 + 8088.60i −0.601229 + 0.730027i
\(498\) 18965.6 + 10066.2i 1.70657 + 0.905780i
\(499\) −7528.00 13038.9i −0.675349 1.16974i −0.976367 0.216121i \(-0.930659\pi\)
0.301017 0.953619i \(-0.402674\pi\)
\(500\) 14763.4 + 25571.0i 1.32048 + 2.28714i
\(501\) −4659.95 + 8779.75i −0.415551 + 0.782935i
\(502\) −28504.5 16457.1i −2.53430 1.46318i
\(503\) 13644.2 1.20948 0.604739 0.796424i \(-0.293278\pi\)
0.604739 + 0.796424i \(0.293278\pi\)
\(504\) 14823.3 + 32360.6i 1.31008 + 2.86003i
\(505\) −7599.93 −0.669688
\(506\) −6656.54 3843.16i −0.584821 0.337647i
\(507\) 7883.80 281.148i 0.690595 0.0246276i
\(508\) −11646.1 20171.6i −1.01715 1.76175i
\(509\) −442.839 767.020i −0.0385629 0.0667929i 0.846100 0.533025i \(-0.178945\pi\)
−0.884663 + 0.466232i \(0.845611\pi\)
\(510\) −20396.5 + 12766.1i −1.77093 + 1.10842i
\(511\) −8678.95 + 10538.2i −0.751339 + 0.912293i
\(512\) 4915.40i 0.424281i
\(513\) 618.817 + 5764.55i 0.0532581 + 0.496123i
\(514\) 24588.6i 2.11003i
\(515\) 9291.75 + 5364.60i 0.795036 + 0.459014i
\(516\) −11578.6 18499.2i −0.987829 1.57826i
\(517\) 2013.17 1162.30i 0.171255 0.0988742i
\(518\) −5201.62 13893.1i −0.441208 1.17843i
\(519\) 3256.30 116.124i 0.275406 0.00982137i
\(520\) 6378.76 11048.3i 0.537937 0.931734i
\(521\) −8268.31 −0.695281 −0.347641 0.937628i \(-0.613017\pi\)
−0.347641 + 0.937628i \(0.613017\pi\)
\(522\) 19298.7 1378.19i 1.61816 0.115559i
\(523\) 1489.91i 0.124568i 0.998058 + 0.0622841i \(0.0198385\pi\)
−0.998058 + 0.0622841i \(0.980162\pi\)
\(524\) 12661.0 21929.5i 1.05553 1.82823i
\(525\) −5936.00 4543.59i −0.493464 0.377712i
\(526\) 2411.55 + 4176.92i 0.199902 + 0.346240i
\(527\) 19324.3 11156.9i 1.59731 0.922206i
\(528\) −12452.2 6609.14i −1.02635 0.544746i
\(529\) 278.849 482.981i 0.0229185 0.0396960i
\(530\) 13345.3 1.09374
\(531\) 9818.48 701.174i 0.802421 0.0573039i
\(532\) −15987.1 2667.84i −1.30288 0.217417i
\(533\) 4224.58 + 2439.06i 0.343315 + 0.198213i
\(534\) 396.035 + 11105.4i 0.0320939 + 0.899959i
\(535\) 4420.35 2552.09i 0.357212 0.206236i
\(536\) −22479.7 + 12978.7i −1.81152 + 1.04588i
\(537\) −5171.39 + 3236.76i −0.415571 + 0.260105i
\(538\) −5423.72 3131.39i −0.434634 0.250936i
\(539\) 1404.93 4092.31i 0.112272 0.327028i
\(540\) −8271.74 + 18690.1i −0.659183 + 1.48944i
\(541\) 668.496 0.0531255 0.0265628 0.999647i \(-0.491544\pi\)
0.0265628 + 0.999647i \(0.491544\pi\)
\(542\) 5733.06 9929.95i 0.454347 0.786952i
\(543\) 7157.62 4479.95i 0.565678 0.354057i
\(544\) 63925.7 36907.5i 5.03822 2.90882i
\(545\) −2388.62 4137.20i −0.187738 0.325171i
\(546\) −1751.71 + 13429.6i −0.137301 + 1.05262i
\(547\) −10234.9 + 17727.3i −0.800022 + 1.38568i 0.119578 + 0.992825i \(0.461846\pi\)
−0.919601 + 0.392855i \(0.871488\pi\)
\(548\) 28735.3i 2.23998i
\(549\) 7769.33 5257.22i 0.603983 0.408693i
\(550\) 5292.92 0.410347
\(551\) −2741.07 + 4747.68i −0.211930 + 0.367074i
\(552\) 19560.4 36853.5i 1.50823 2.84164i
\(553\) −15663.5 + 5864.49i −1.20449 + 0.450965i
\(554\) −16107.6 + 9299.70i −1.23528 + 0.713189i
\(555\) 2485.00 4681.97i 0.190059 0.358087i
\(556\) −17536.5 10124.7i −1.33762 0.772273i
\(557\) 18144.3i 1.38025i −0.723692 0.690123i \(-0.757556\pi\)
0.723692 0.690123i \(-0.242444\pi\)
\(558\) 11412.7 23487.5i 0.865835 1.78191i
\(559\) 5167.04i 0.390952i
\(560\) −21151.2 17419.5i −1.59607 1.31448i
\(561\) 291.120 + 8163.44i 0.0219093 + 0.614368i
\(562\) 9404.27 + 16288.7i 0.705864 + 1.22259i
\(563\) −2055.50 3560.22i −0.153870 0.266511i 0.778777 0.627301i \(-0.215840\pi\)
−0.932647 + 0.360790i \(0.882507\pi\)
\(564\) 10758.8 + 17189.4i 0.803243 + 1.28334i
\(565\) 9679.93 + 5588.71i 0.720775 + 0.416140i
\(566\) −19160.9 −1.42295
\(567\) 307.334 13497.8i 0.0227634 0.999741i
\(568\) 40274.0 2.97510
\(569\) −16501.7 9527.28i −1.21580 0.701941i −0.251781 0.967784i \(-0.581016\pi\)
−0.964016 + 0.265843i \(0.914350\pi\)
\(570\) −4233.20 6763.40i −0.311069 0.496996i
\(571\) 4482.05 + 7763.14i 0.328491 + 0.568962i 0.982213 0.187772i \(-0.0601268\pi\)
−0.653722 + 0.756735i \(0.726793\pi\)
\(572\) −3480.07 6027.66i −0.254387 0.440611i
\(573\) −24.2001 678.606i −0.00176435 0.0494750i
\(574\) 11907.6 14458.5i 0.865881 1.05137i
\(575\) 8762.43i 0.635511i
\(576\) 17450.3 35913.2i 1.26232 2.59789i
\(577\) 13608.3i 0.981840i −0.871205 0.490920i \(-0.836661\pi\)
0.871205 0.490920i \(-0.163339\pi\)
\(578\) −49670.3 28677.2i −3.57442 2.06369i
\(579\) −2777.60 + 5233.24i −0.199366 + 0.375623i
\(580\) −16737.2 + 9663.21i −1.19823 + 0.691798i
\(581\) 13268.3 4967.70i 0.947438 0.354725i
\(582\) 3703.97 6978.60i 0.263805 0.497032i
\(583\) 2265.22 3923.48i 0.160919 0.278720i
\(584\) 52470.7 3.71790
\(585\) −4007.77 + 2711.91i −0.283250 + 0.191665i
\(586\) 12999.1i 0.916359i
\(587\) −4471.37 + 7744.64i −0.314401 + 0.544558i −0.979310 0.202366i \(-0.935137\pi\)
0.664909 + 0.746924i \(0.268470\pi\)
\(588\) 36113.6 + 10975.9i 2.53282 + 0.769791i
\(589\) 3699.59 + 6407.87i 0.258809 + 0.448271i
\(590\) −11732.0 + 6773.45i −0.818640 + 0.472642i
\(591\) −15251.7 + 9546.00i −1.06154 + 0.664416i
\(592\) −15946.7 + 27620.5i −1.10710 + 1.91756i
\(593\) −19338.8 −1.33921 −0.669604 0.742719i \(-0.733536\pi\)
−0.669604 + 0.742719i \(0.733536\pi\)
\(594\) 5636.14 + 7721.39i 0.389316 + 0.533355i
\(595\) −2613.37 + 15660.7i −0.180063 + 1.07903i
\(596\) −3526.88 2036.24i −0.242393 0.139946i
\(597\) 11111.7 6954.78i 0.761760 0.476784i
\(598\) 13748.3 7937.61i 0.940153 0.542798i
\(599\) 7181.37 4146.16i 0.489854 0.282817i −0.234660 0.972078i \(-0.575398\pi\)
0.724514 + 0.689260i \(0.242064\pi\)
\(600\) 1023.94 + 28712.7i 0.0696700 + 1.95365i
\(601\) −16063.4 9274.20i −1.09025 0.629455i −0.156606 0.987661i \(-0.550055\pi\)
−0.933643 + 0.358206i \(0.883389\pi\)
\(602\) −19569.5 3265.65i −1.32491 0.221093i
\(603\) 9820.94 701.350i 0.663250 0.0473651i
\(604\) −13042.3 −0.878618
\(605\) 4030.70 6981.38i 0.270862 0.469146i
\(606\) −27390.1 14537.6i −1.83605 0.974504i
\(607\) 4155.60 2399.24i 0.277876 0.160432i −0.354586 0.935024i \(-0.615378\pi\)
0.632461 + 0.774592i \(0.282045\pi\)
\(608\) 12238.4 + 21197.5i 0.816336 + 1.41394i
\(609\) 7759.63 10137.6i 0.516315 0.674543i
\(610\) −6455.12 + 11180.6i −0.428460 + 0.742114i
\(611\) 4801.21i 0.317899i
\(612\) −71078.4 + 5075.97i −4.69473 + 0.335268i
\(613\) −19326.3 −1.27338 −0.636690 0.771120i \(-0.719697\pi\)
−0.636690 + 0.771120i \(0.719697\pi\)
\(614\) −21236.0 + 36781.9i −1.39579 + 2.41758i
\(615\) 6688.33 238.516i 0.438536 0.0156388i
\(616\) −15573.9 + 5830.91i −1.01865 + 0.381387i
\(617\) 18359.9 10600.1i 1.19796 0.691642i 0.237859 0.971300i \(-0.423554\pi\)
0.960100 + 0.279658i \(0.0902211\pi\)
\(618\) 23225.7 + 37107.8i 1.51177 + 2.41536i
\(619\) 3393.65 + 1959.33i 0.220359 + 0.127224i 0.606117 0.795376i \(-0.292726\pi\)
−0.385757 + 0.922600i \(0.626060\pi\)
\(620\) 26084.6i 1.68965i
\(621\) −12782.8 + 9330.64i −0.826015 + 0.602940i
\(622\) 14768.5i 0.952029i
\(623\) 5660.04 + 4661.44i 0.363988 + 0.299770i
\(624\) 24680.9 15447.7i 1.58338 0.991034i
\(625\) −59.3801 102.849i −0.00380033 0.00658236i
\(626\) 10945.0 + 18957.2i 0.698799 + 1.21036i
\(627\) −2706.96 + 96.5343i −0.172417 + 0.00614866i
\(628\) 15303.7 + 8835.58i 0.972426 + 0.561430i
\(629\) 18480.4 1.17148
\(630\) 7738.06 + 16892.9i 0.489352 + 1.06830i
\(631\) −5823.13 −0.367378 −0.183689 0.982984i \(-0.558804\pi\)
−0.183689 + 0.982984i \(0.558804\pi\)
\(632\) 55670.7 + 32141.5i 3.50390 + 2.02297i
\(633\) −5034.47 + 9485.39i −0.316117 + 0.595593i
\(634\) 3020.98 + 5232.50i 0.189241 + 0.327774i
\(635\) −3782.94 6552.25i −0.236412 0.409477i
\(636\) 34909.1 + 18528.4i 2.17647 + 1.15519i
\(637\) 5868.97 + 6739.07i 0.365050 + 0.419170i
\(638\) 9039.34i 0.560926i
\(639\) −13740.2 6676.41i −0.850634 0.413325i
\(640\) 22354.5i 1.38069i
\(641\) 18914.5 + 10920.3i 1.16549 + 0.672894i 0.952613 0.304186i \(-0.0983844\pi\)
0.212874 + 0.977080i \(0.431718\pi\)
\(642\) 20812.7 742.211i 1.27946 0.0456273i
\(643\) −21222.1 + 12252.6i −1.30158 + 0.751470i −0.980676 0.195640i \(-0.937322\pi\)
−0.320909 + 0.947110i \(0.603988\pi\)
\(644\) −15513.3 41434.7i −0.949240 2.53533i
\(645\) −3761.02 6009.00i −0.229597 0.366828i
\(646\) 13909.2 24091.5i 0.847138 1.46729i
\(647\) 1181.15 0.0717709 0.0358855 0.999356i \(-0.488575\pi\)
0.0358855 + 0.999356i \(0.488575\pi\)
\(648\) −40796.2 + 32068.3i −2.47319 + 1.94408i
\(649\) 4598.89i 0.278155i
\(650\) −5465.96 + 9467.33i −0.329835 + 0.571291i
\(651\) −6612.94 15911.2i −0.398128 0.957927i
\(652\) −34986.9 60599.0i −2.10152 3.63994i
\(653\) −19828.3 + 11447.9i −1.18827 + 0.686050i −0.957914 0.287056i \(-0.907324\pi\)
−0.230360 + 0.973106i \(0.573990\pi\)
\(654\) −694.669 19479.5i −0.0415347 1.16470i
\(655\) 4112.60 7123.24i 0.245332 0.424928i
\(656\) −40269.1 −2.39672
\(657\) −17901.4 8698.32i −1.06301 0.516520i
\(658\) 18184.0 + 3034.44i 1.07733 + 0.179779i
\(659\) −27.2112 15.7104i −0.00160849 0.000928663i 0.499196 0.866489i \(-0.333629\pi\)
−0.500804 + 0.865561i \(0.666962\pi\)
\(660\) −8434.61 4476.76i −0.497450 0.264027i
\(661\) 9789.93 5652.22i 0.576073 0.332596i −0.183498 0.983020i \(-0.558742\pi\)
0.759571 + 0.650424i \(0.225409\pi\)
\(662\) −32946.3 + 19021.6i −1.93428 + 1.11676i
\(663\) −14902.4 7909.62i −0.872944 0.463324i
\(664\) −47157.6 27226.5i −2.75613 1.59125i
\(665\) −5193.02 866.582i −0.302822 0.0505333i
\(666\) 17911.9 12120.3i 1.04215 0.705184i
\(667\) −14964.6 −0.868715
\(668\) 20255.6 35083.7i 1.17322 2.03208i
\(669\) 1137.89 + 31908.2i 0.0657601 + 1.84401i
\(670\) −11734.9 + 6775.15i −0.676655 + 0.390667i
\(671\) 2191.38 + 3795.58i 0.126076 + 0.218371i
\(672\) −21875.9 52635.1i −1.25578 3.02149i
\(673\) 4328.66 7497.46i 0.247931 0.429429i −0.715021 0.699103i \(-0.753583\pi\)
0.962952 + 0.269674i \(0.0869161\pi\)
\(674\) 14003.2i 0.800271i
\(675\) 4410.51 9965.62i 0.251497 0.568262i
\(676\) −32152.1 −1.82932
\(677\) 10348.5 17924.2i 0.587483 1.01755i −0.407078 0.913393i \(-0.633452\pi\)
0.994561 0.104156i \(-0.0332143\pi\)
\(678\) 24196.0 + 38658.0i 1.37056 + 2.18975i
\(679\) −1827.92 4882.20i −0.103312 0.275938i
\(680\) 52847.7 30511.6i 2.98032 1.72069i
\(681\) −4734.61 + 168.843i −0.266418 + 0.00950085i
\(682\) 10565.7 + 6100.13i 0.593230 + 0.342502i
\(683\) 20058.0i 1.12372i 0.827233 + 0.561859i \(0.189914\pi\)
−0.827233 + 0.561859i \(0.810086\pi\)
\(684\) −1683.17 23569.3i −0.0940902 1.31754i
\(685\) 9333.94i 0.520630i
\(686\) 29232.7 17968.8i 1.62698 1.00008i
\(687\) −12219.9 6485.83i −0.678628 0.360189i
\(688\) 21327.1 + 36939.6i 1.18181 + 2.04696i
\(689\) 4678.56 + 8103.50i 0.258692 + 0.448068i
\(690\) 10210.9 19238.3i 0.563367 1.06143i
\(691\) −4672.42 2697.62i −0.257232 0.148513i 0.365839 0.930678i \(-0.380782\pi\)
−0.623071 + 0.782165i \(0.714115\pi\)
\(692\) −13280.0 −0.729522
\(693\) 6279.94 + 592.427i 0.344235 + 0.0324739i
\(694\) 45073.4 2.46537
\(695\) −5696.30 3288.76i −0.310897 0.179496i
\(696\) −49036.0 + 1748.70i −2.67055 + 0.0952358i
\(697\) 11666.8 + 20207.5i 0.634019 + 1.09815i
\(698\) 31128.0 + 53915.2i 1.68798 + 2.92367i
\(699\) 8739.89 5470.28i 0.472923 0.296002i
\(700\) 23517.8 + 19368.6i 1.26984 + 1.04581i
\(701\) 18702.4i 1.00767i 0.863799 + 0.503837i \(0.168079\pi\)
−0.863799 + 0.503837i \(0.831921\pi\)
\(702\) −19631.5 + 2107.41i −1.05547 + 0.113304i
\(703\) 6128.01i 0.328766i
\(704\) 16155.4 + 9327.30i 0.864883 + 0.499340i
\(705\) 3494.74 + 5583.56i 0.186694 + 0.298282i
\(706\) 47788.3 27590.6i 2.54750 1.47080i
\(707\) −19162.0 + 7174.33i −1.01932 + 0.381639i
\(708\) −40093.2 + 1429.78i −2.12824 + 0.0758962i
\(709\) −9346.71 + 16189.0i −0.495096 + 0.857531i −0.999984 0.00565368i \(-0.998200\pi\)
0.504888 + 0.863185i \(0.331534\pi\)
\(710\) 21023.9 1.11128
\(711\) −13664.9 20194.5i −0.720778 1.06519i
\(712\) 28181.9i 1.48337i
\(713\) −10098.8 + 17491.6i −0.530438 + 0.918745i
\(714\) −39375.3 + 51442.0i −2.06384 + 2.69632i
\(715\) −1130.41 1957.94i −0.0591260 0.102409i
\(716\) 21533.6 12432.4i 1.12395 0.648912i
\(717\) 8188.05 + 4345.90i 0.426483 + 0.226360i
\(718\) 17809.0 30846.0i 0.925661 1.60329i
\(719\) −18386.7 −0.953697 −0.476848 0.878986i \(-0.658221\pi\)
−0.476848 + 0.878986i \(0.658221\pi\)
\(720\) 17458.4 35929.9i 0.903662 1.85976i
\(721\) 28491.8 + 4754.56i 1.47169 + 0.245588i
\(722\) −24097.5 13912.7i −1.24213 0.717142i
\(723\) −1108.10 31072.8i −0.0569996 1.59835i
\(724\) −29804.2 + 17207.5i −1.52992 + 0.883302i
\(725\) 8924.29 5152.44i 0.457159 0.263941i
\(726\) 27881.0 17450.7i 1.42529 0.892088i
\(727\) −1268.25 732.227i −0.0647000 0.0373546i 0.467301 0.884098i \(-0.345226\pi\)
−0.532001 + 0.846744i \(0.678560\pi\)
\(728\) 5653.40 33878.2i 0.287814 1.72474i
\(729\) 19234.5 4177.74i 0.977215 0.212251i
\(730\) 27390.8 1.38874
\(731\) 12357.8 21404.3i 0.625265 1.08299i
\(732\) −32408.6 + 20284.5i −1.63642 + 1.02423i
\(733\) 5272.89 3044.31i 0.265701 0.153402i −0.361231 0.932476i \(-0.617644\pi\)
0.626932 + 0.779074i \(0.284310\pi\)
\(734\) −14133.5 24480.0i −0.710734 1.23103i
\(735\) 11730.6 + 3565.24i 0.588693 + 0.178919i
\(736\) −33407.2 + 57863.0i −1.67311 + 2.89790i
\(737\) 4600.05i 0.229912i
\(738\) 24560.9 + 11934.2i 1.22507 + 0.595264i
\(739\) 239.229 0.0119082 0.00595412 0.999982i \(-0.498105\pi\)
0.00595412 + 0.999982i \(0.498105\pi\)
\(740\) −10801.7 + 18709.0i −0.536590 + 0.929402i
\(741\) 2622.80 4941.58i 0.130028 0.244984i
\(742\) 33647.9 12597.9i 1.66476 0.623294i
\(743\) 5720.45 3302.70i 0.282454 0.163075i −0.352080 0.935970i \(-0.614526\pi\)
0.634534 + 0.772895i \(0.281192\pi\)
\(744\) −31047.6 + 58496.4i −1.52992 + 2.88250i
\(745\) −1145.62 661.423i −0.0563385 0.0325271i
\(746\) 52817.5i 2.59221i
\(747\) 11575.3 + 17106.4i 0.566957 + 0.837871i
\(748\) 33292.5i 1.62740i
\(749\) 8736.03 10607.5i 0.426178 0.517476i
\(750\) 1394.66 + 39108.3i 0.0679009 + 1.90404i
\(751\) −16064.2 27824.1i −0.780549 1.35195i −0.931622 0.363428i \(-0.881606\pi\)
0.151073 0.988523i \(-0.451727\pi\)
\(752\) −19817.1 34324.2i −0.960978 1.66446i
\(753\) −16798.2 26838.5i −0.812962 1.29887i
\(754\) −16168.5 9334.87i −0.780930 0.450870i
\(755\) −4236.48 −0.204214
\(756\) −3212.37 + 54932.7i −0.154540 + 2.64270i
\(757\) 37994.5 1.82422 0.912109 0.409948i \(-0.134453\pi\)
0.912109 + 0.409948i \(0.134453\pi\)
\(758\) 17016.3 + 9824.34i 0.815380 + 0.470760i
\(759\) −3922.81 6267.49i −0.187601 0.299731i
\(760\) 10117.5 + 17524.1i 0.482896 + 0.836401i
\(761\) 2352.30 + 4074.31i 0.112051 + 0.194078i 0.916597 0.399812i \(-0.130925\pi\)
−0.804546 + 0.593890i \(0.797591\pi\)
\(762\) −1100.17 30850.5i −0.0523033 1.46666i
\(763\) −9928.03 8176.45i −0.471060 0.387952i
\(764\) 2767.53i 0.131054i
\(765\) −23088.1 + 1648.80i −1.09118 + 0.0779250i
\(766\) 48563.6i 2.29070i
\(767\) −8225.95 4749.25i −0.387251 0.223580i
\(768\) −13941.1 + 26266.2i −0.655019 + 1.23411i
\(769\) −9940.18 + 5738.97i −0.466128 + 0.269119i −0.714617 0.699516i \(-0.753399\pi\)
0.248490 + 0.968635i \(0.420066\pi\)
\(770\) −8129.88 + 3043.86i −0.380494 + 0.142459i
\(771\) −11089.0 + 20892.7i −0.517979 + 0.975918i
\(772\) 12073.5 20911.9i 0.562868 0.974916i
\(773\) −22568.8 −1.05012 −0.525059 0.851066i \(-0.675957\pi\)
−0.525059 + 0.851066i