Properties

Label 63.4.o.a.20.2
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 20.2
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.67796 - 2.70082i) q^{2} +(2.75680 + 4.40455i) q^{3} +(10.5889 + 18.3405i) q^{4} +(-3.43953 - 5.95744i) q^{5} +(-1.00030 - 28.0499i) q^{6} +(-17.3445 - 6.49383i) q^{7} -71.1815i q^{8} +(-11.8001 + 24.2849i) q^{9} +O(q^{10})\) \(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} +(-17.3445 - 6.49383i) 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} +(63.5980 + 77.2222i) 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} +(-19.2128 - 94.2967i) 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} +(-164.802 + 493.007i) 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} +(258.660 + 225.264i) 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} +(-462.241 + 1234.60i) 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} +(362.369 - 344.581i) 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} +(241.299 - 644.489i) 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} +(148.520 + 180.337i) 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} +(1526.00 - 1350.87i) 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 0.670205 0.742176i \(-0.266206\pi\)
−0.977846 + 0.209326i \(0.932873\pi\)
\(6\) −1.00030 28.0499i −0.0680619 1.90856i
\(7\) −17.3445 6.49383i −0.936513 0.350634i
\(8\) 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 −0.720990 0.692945i \(-0.756313\pi\)
0.239613 + 0.970869i \(0.422979\pi\)
\(14\) 63.5980 + 77.2222i 1.21409 + 1.47418i
\(15\) 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 \(-0.848590\pi\)
−0.888987 + 0.457932i \(0.848590\pi\)
\(18\) 120.790 81.7339i 1.58169 1.07027i
\(19\) 41.3246i 0.498974i −0.968378 0.249487i \(-0.919738\pi\)
0.968378 0.249487i \(-0.0802620\pi\)
\(20\) 72.8415 126.165i 0.814393 1.41057i
\(21\) −19.2128 94.2967i −0.199646 0.979868i
\(22\) 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 −0.876676 0.481081i \(-0.840244\pi\)
−0.0217097 + 0.999764i \(0.506911\pi\)
\(32\) 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 0.630794 0.775951i \(-0.282729\pi\)
−0.987390 + 0.158308i \(0.949396\pi\)
\(42\) −164.802 + 493.007i −0.605464 + 1.81125i
\(43\) 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 −0.686882 0.726769i \(-0.741021\pi\)
0.972841 + 0.231473i \(0.0743546\pi\)
\(48\) −1116.85 + 39.8286i −3.35841 + 0.119766i
\(49\) 258.660 + 225.264i 0.754111 + 0.656746i
\(50\) −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
\(56\) −462.241 + 1234.60i −1.10303 + 2.94609i
\(57\) 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 0.993995 0.109425i \(-0.0349011\pi\)
−0.591763 + 0.806112i \(0.701568\pi\)
\(60\) 756.510 26.9783i 1.62775 0.0580480i
\(61\) 300.892 + 173.720i 0.631561 + 0.364632i 0.781356 0.624085i \(-0.214528\pi\)
−0.149795 + 0.988717i \(0.547861\pi\)
\(62\) 967.165 1.98113
\(63\) 362.369 344.581i 0.724669 0.689097i
\(64\) −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
\(70\) 241.299 644.489i 0.412011 1.10045i
\(71\) 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 \(-0.798761\pi\)
0.806723 0.590929i \(-0.201239\pi\)
\(74\) −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
\(77\) 148.520 + 180.337i 0.219811 + 0.266900i
\(78\) 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 \(0.335481\pi\)
−0.999977 + 0.00674855i \(0.997852\pi\)
\(84\) 1526.00 1350.87i 1.98215 1.75466i
\(85\) 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 \(-0.575761\pi\)
−0.235770 + 0.971809i \(0.575761\pi\)
\(90\) −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 0.622129 0.782915i \(-0.286268\pi\)
−0.366960 + 0.930237i \(0.619601\pi\)
\(98\) −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 \(-0.650162\pi\)
0.998656 0.0518275i \(-0.0165046\pi\)
\(102\) 124.661 + 3495.67i 0.121012 + 3.39336i
\(103\) −1350.73 + 779.844i −1.29215 + 0.746023i −0.979035 0.203693i \(-0.934706\pi\)
−0.313114 + 0.949715i \(0.601372\pi\)
\(104\) 927.272 + 1606.08i 0.874293 + 1.51432i
\(105\) −495.684 + 438.796i −0.460703 + 0.407829i
\(106\) 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
\(112\) 3074.72 2532.25i 2.59405 2.13639i
\(113\) 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
\(119\) 2161.52 + 809.282i 1.66510 + 0.623418i
\(120\) −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
\(126\) −2625.80 + 633.242i −1.85654 + 0.447728i
\(127\) −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 0.993570 0.113222i \(-0.0361172\pi\)
−0.594838 + 0.803846i \(0.702784\pi\)
\(132\) 1176.66 736.467i 0.775870 0.485616i
\(133\) −268.355 + 716.752i −0.174957 + 0.467295i
\(134\) 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 −0.225605 0.974219i \(-0.572436\pi\)
0.730896 + 0.682489i \(0.239102\pi\)
\(140\) −2082.69 + 1715.25i −1.25728 + 1.03546i
\(141\) 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
\(147\) −279.112 + 1760.29i −0.156604 + 0.987662i
\(148\) 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 −0.672295 0.740283i \(-0.734691\pi\)
0.304956 + 0.952366i \(0.401358\pi\)
\(158\) 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 0.997924 0.0643998i \(-0.0205133\pi\)
−0.554734 + 0.832028i \(0.687180\pi\)
\(168\) −6712.18 + 1367.59i −3.08247 + 0.628049i
\(169\) −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 −0.788870 0.614561i \(-0.789333\pi\)
0.926660 + 0.375901i \(0.122667\pi\)
\(174\) 1745.64 3288.94i 0.760555 1.43295i
\(175\) −1110.50 + 914.573i −0.479689 + 0.395058i
\(176\) 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 \(-0.891712\pi\)
0.942689 0.333672i \(-0.108288\pi\)
\(182\) −2440.94 913.897i −0.994145 0.372212i
\(183\) 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
\(189\) 2516.70 + 646.130i 0.968588 + 0.248672i
\(190\) 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
\(196\) −1392.53 + 7129.24i −0.507481 + 2.59812i
\(197\) 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 \(-0.851662\pi\)
0.893364 0.449333i \(-0.148338\pi\)
\(200\) −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
\(203\) −1561.92 1896.52i −0.540027 0.655714i
\(204\) 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
\(210\) 3503.90 713.913i 1.15139 0.234594i
\(211\) −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 \(0.0405992\pi\)
0.606097 + 0.795390i \(0.292734\pi\)
\(224\) −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 −0.924944 0.380103i \(-0.875889\pi\)
0.791651 + 0.610974i \(0.209222\pi\)
\(228\) 4016.76 + 2131.94i 1.16674 + 0.619259i
\(229\) −2305.74 + 1331.22i −0.665360 + 0.384146i −0.794316 0.607504i \(-0.792171\pi\)
0.128956 + 0.991650i \(0.458837\pi\)
\(230\) −2095.80 3630.02i −0.600838 1.04068i
\(231\) −384.862 + 1151.32i −0.109619 + 0.327927i
\(232\) 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
\(238\) −7925.78 9623.67i −2.15862 2.62105i
\(239\) −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 −0.392338 0.919821i \(-0.628334\pi\)
−0.992757 + 0.120136i \(0.961667\pi\)
\(242\) 6330.05i 1.68145i
\(243\) 1282.40 3564.32i 0.338542 0.940951i
\(244\) 7357.99i 1.93052i
\(245\) 452.328 2315.76i 0.117952 0.603870i
\(246\) −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 \(-0.777833\pi\)
−0.766155 + 0.642656i \(0.777833\pi\)
\(252\) 10156.8 + 2997.29i 2.53897 + 0.749251i
\(253\) 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 \(0.0196329\pi\)
−0.445668 + 0.895198i \(0.647034\pi\)
\(258\) −4916.83 2609.66i −1.18647 0.629730i
\(259\) −2572.01 962.970i −0.617053 0.231027i
\(260\) 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
\(266\) 3191.17 2628.16i 0.735576 0.605800i
\(267\) −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 \(-0.541946\pi\)
−0.131396 + 0.991330i \(0.541946\pi\)
\(270\) −556.428 5183.38i −0.125419 1.16833i
\(271\) 2122.71i 0.475813i −0.971288 0.237907i \(-0.923539\pi\)
0.971288 0.237907i \(-0.0764612\pi\)
\(272\) 13401.7 23212.4i 2.98748 5.17447i
\(273\) 1661.89 + 1877.35i 0.368434 + 0.416200i
\(274\) 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 −0.786641 0.617411i \(-0.788182\pi\)
0.141373 + 0.989956i \(0.454848\pi\)
\(284\) −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 0.720776 0.693168i \(-0.243786\pi\)
−0.960689 + 0.277626i \(0.910452\pi\)
\(294\) 6059.90 7480.73i 1.20211 1.48396i
\(295\) 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
\(301\) −2835.23 + 2335.01i −0.542922 + 0.447135i
\(302\) 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 \(0.260886\pi\)
−0.682517 + 0.730870i \(0.739114\pi\)
\(308\) −1734.80 + 4633.50i −0.320940 + 0.857201i
\(309\) −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 0.963319 0.268360i \(-0.0864818\pi\)
−0.714066 + 0.700078i \(0.753148\pi\)
\(312\) −4517.76 + 8511.86i −0.819769 + 1.54452i
\(313\) 3509.53 + 2026.23i 0.633771 + 0.365908i 0.782211 0.623014i \(-0.214092\pi\)
−0.148440 + 0.988921i \(0.547425\pi\)
\(314\) 4507.25 0.810060
\(315\) −3299.20 973.594i −0.590123 0.174145i
\(316\) −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
\(322\) −10568.4 3956.86i −1.82905 0.684805i
\(323\) 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
\(329\) −2634.49 + 2169.69i −0.441472 + 0.363583i
\(330\) 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
\(336\) 19629.8 + 6561.85i 3.18719 + 1.06541i
\(337\) 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 \(0.0117352\pi\)
0.531581 + 0.847008i \(0.321598\pi\)
\(350\) 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 \(-0.553516\pi\)
0.937482 0.348033i \(-0.113150\pi\)
\(354\) 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
\(357\) 2394.36 + 11751.6i 0.354966 + 1.74218i
\(358\) −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
\(364\) 6496.32 + 7887.98i 0.935438 + 1.13583i
\(365\) −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 0.141787 0.989897i \(-0.454715\pi\)
−0.786382 + 0.617740i \(0.788048\pi\)
\(368\) 24261.3i 3.43670i
\(369\) 5042.45 360.100i 0.711381 0.0508023i
\(370\) 5510.19i 0.774219i
\(371\) 2332.24 6229.21i 0.326372 0.871710i
\(372\) −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
\(378\) −10027.9 9819.73i −1.36450 1.33617i
\(379\) −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 \(0.0380591\pi\)
−0.393129 + 0.919483i \(0.628608\pi\)
\(384\) 601.784 + 16874.9i 0.0799731 + 2.24256i
\(385\) 563.506 1505.08i 0.0745947 0.199236i
\(386\) 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
\(392\) 16034.6 18411.8i 2.06600 2.37229i
\(393\) −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 \(0.260860\pi\)
−0.682575 + 0.730815i \(0.739140\pi\)
\(398\) −6813.56 + 11801.4i −0.858123 + 1.48631i
\(399\) −3896.77 + 793.960i −0.488928 + 0.0996183i
\(400\) 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 −0.177068 0.984199i \(-0.556661\pi\)
0.763807 + 0.645445i \(0.223328\pi\)
\(410\) 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 0.722268 0.691613i \(-0.243100\pi\)
−0.960089 + 0.279696i \(0.909766\pi\)
\(420\) −13296.5 4444.73i −1.54476 0.516382i
\(421\) 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
\(427\) −4090.69 4967.02i −0.463612 0.562929i
\(428\) 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 \(-0.944952\pi\)
0.985083 0.172077i \(-0.0550479\pi\)
\(434\) −16775.0 6280.61i −1.85535 0.694652i
\(435\) 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 −0.437065 0.899430i \(-0.643982\pi\)
−0.997462 + 0.0712055i \(0.977315\pi\)
\(440\) 6176.82 0.669246
\(441\) −8522.74 + 3623.41i −0.920283 + 0.391254i
\(442\) −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
\(448\) 25649.4 + 9603.26i 2.70496 + 1.01275i
\(449\) 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
\(455\) −2110.17 2562.21i −0.217420 0.263997i
\(456\) −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 \(0.565106\pi\)
−0.746416 + 0.665480i \(0.768227\pi\)
\(462\) 4909.87 4346.38i 0.494433 0.437688i
\(463\) −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 \(-0.775206\pi\)
−0.760826 + 0.648956i \(0.775206\pi\)
\(468\) 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 \(-0.521926\pi\)
0.898386 0.439206i \(-0.144740\pi\)
\(480\) −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
\(483\) 7195.43 + 8128.30i 0.677854 + 0.765736i
\(484\) 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
\(490\) −8370.41 + 9611.36i −0.771708 + 0.886116i
\(491\) −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
\(497\) 3674.16 9813.36i 0.331607 0.885693i
\(498\) 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 \(-0.706722\pi\)
−0.604739 + 0.796424i \(0.706722\pi\)
\(504\) −24527.8 25793.9i −2.16777 2.27967i
\(505\) −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 0.884663 0.466232i \(-0.154389\pi\)
−0.846100 + 0.533025i \(0.821055\pi\)
\(510\) 20396.5 12766.1i 1.77093 1.10842i
\(511\) −4786.86 + 12785.3i −0.414400 + 1.10683i
\(512\) 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
\(518\) 9430.94 + 11451.3i 0.799945 + 0.971312i
\(519\) 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 \(-0.386983\pi\)
0.347641 + 0.937628i \(0.386983\pi\)
\(522\) 19298.7 1378.19i 1.61816 0.115559i
\(523\) 1489.91i 0.124568i −0.998058 0.0622841i \(-0.980162\pi\)
0.998058 0.0622841i \(-0.0198385\pi\)
\(524\) −12661.0 + 21929.5i −1.05553 + 1.82823i
\(525\) −7089.70 2369.94i −0.589371 0.197015i
\(526\) 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
\(546\) −2703.87 13270.7i −0.211932 1.04017i
\(547\) −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
\(553\) 12910.6 10632.8i 0.992790 0.817634i
\(554\) −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
\(560\) −25661.4 9607.72i −1.93641 0.725000i
\(561\) 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 0.932647 0.360790i \(-0.117493\pi\)
−0.778777 + 0.627301i \(0.784160\pi\)
\(564\) 10758.8 + 17189.4i 0.803243 + 1.28334i
\(565\) −9679.93 5588.71i −0.720775 0.416140i
\(566\) 19160.9 1.42295
\(567\) 4092.13 + 12866.2i 0.303092 + 0.952961i
\(568\) 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
\(574\) 6567.64 17541.6i 0.477575 1.27556i
\(575\) 8762.43i 0.635511i
\(576\) 17450.3 35913.2i 1.26232 2.59789i
\(577\) 13608.3i 0.981840i 0.871205 + 0.490920i \(0.163339\pi\)
−0.871205 + 0.490920i \(0.836661\pi\)
\(578\) −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
\(581\) 10936.3 9006.83i 0.780919 0.643143i
\(582\) 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 −0.664909 0.746924i \(-0.731530\pi\)
0.979310 + 0.202366i \(0.0648631\pi\)
\(588\) −35240.0 + 13520.4i −2.47155 + 0.948254i
\(589\) 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 \(-0.266464\pi\)
0.669604 + 0.742719i \(0.266464\pi\)
\(594\) −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 0.933643 0.358206i \(-0.116611\pi\)
0.156606 + 0.987661i \(0.449945\pi\)
\(602\) 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 −0.632461 0.774592i \(-0.717955\pi\)
0.354586 + 0.935024i \(0.384622\pi\)
\(608\) −12238.4 21197.5i −0.816336 1.41394i
\(609\) 4047.42 12107.9i 0.269310 0.805644i
\(610\) −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
\(616\) 12836.6 10571.9i 0.839616 0.691483i
\(617\) 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 0.385757 0.922600i \(-0.373940\pi\)
−0.606117 + 0.795376i \(0.707274\pi\)
\(620\) 26084.6i 1.68965i
\(621\) 12782.8 9330.64i 0.826015 0.602940i
\(622\) 14768.5i 0.952029i
\(623\) 6866.95 + 2571.01i 0.441603 + 0.165338i
\(624\) 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
\(630\) 12804.0 + 13465.0i 0.809721 + 0.851520i
\(631\) −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
\(637\) −8770.69 1713.14i −0.545537 0.106558i
\(638\) 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 0.320909 0.947110i \(-0.396012\pi\)
0.980676 + 0.195640i \(0.0626783\pi\)
\(644\) 28126.8 + 34152.3i 1.72104 + 2.08973i
\(645\) −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 \(-0.511425\pi\)
−0.0358855 + 0.999356i \(0.511425\pi\)
\(648\) −40796.2 + 32068.3i −2.47319 + 1.94408i
\(649\) 4598.89i 0.278155i
\(650\) 5465.96 9467.33i 0.329835 0.571291i
\(651\) 11421.1 + 12901.8i 0.687601 + 0.776746i
\(652\) −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 −0.759571 0.650424i \(-0.774591\pi\)
0.183498 + 0.983020i \(0.441258\pi\)
\(662\) −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
\(672\) −37781.5 42679.8i −2.16883 2.45001i
\(673\) 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 \(0.366548\pi\)
−0.994561 + 0.104156i \(0.966786\pi\)
\(678\) −24196.0 38658.0i −1.37056 2.18975i
\(679\) −3314.15 4024.12i −0.187313 0.227440i
\(680\) 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
\(686\) −945.108 + 34300.6i −0.0526012 + 1.90904i
\(687\) −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 0.623071 0.782165i \(-0.285885\pi\)
−0.365839 + 0.930678i \(0.619218\pi\)
\(692\) 13280.0 0.729522
\(693\) −6132.02 + 1478.81i −0.336127 + 0.0810612i
\(694\) 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
\(700\) −28532.6 10682.7i −1.54061 0.576812i
\(701\) 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
\(707\) −15794.2 + 13007.6i −0.840170 + 0.691940i
\(708\) −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
\(714\) 20538.1 61440.0i 1.07650 3.22036i
\(715\) −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 \(-0.341779\pi\)
0.476848 + 0.878986i \(0.341779\pi\)
\(720\) −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 0.532001 0.846744i \(-0.321440\pi\)
−0.467301 + 0.884098i \(0.654774\pi\)
\(728\) −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 −0.626932 0.779074i \(-0.715690\pi\)
0.361231 + 0.932476i \(0.382356\pi\)
\(734\) 14133.5 + 24480.0i 0.710734 + 1.23103i
\(735\) 11446.8 4391.78i 0.574453 0.220399i
\(736\) −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
\(742\) −27734.1 + 22841.0i −1.37217 + 1.13008i
\(743\) 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
\(749\) −4818.34 + 12869.4i −0.235058 + 0.627819i
\(750\) 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
\(756\) 14798.7 + 52999.3i 0.711936 + 2.54969i
\(757\) 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 0.804546 0.593890i \(-0.202409\pi\)
−0.916597 + 0.399812i \(0.869075\pi\)
\(762\) 1100.17 + 30850.5i 0.0523033 + 1.46666i
\(763\) 12045.0 + 4509.71i 0.571506 + 0.213974i
\(764\) 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 −0.248490 0.968635i \(-0.579934\pi\)
0.714617 + 0.699516i \(0.246601\pi\)
\(770\) −6701.00 + 5518.75i −0.313620 + 0.258288i
\(771\) −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 \(-0.324043\pi\)
0.525059