Properties

Label 177.4.f.a.2.2
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.2
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.285117 + 5.25867i) q^{2} +(5.18186 + 0.385093i) q^{3} +(-19.6192 - 2.13372i) q^{4} +(6.02049 - 17.8682i) q^{5} +(-3.50252 + 27.1399i) q^{6} +(18.4360 + 27.1910i) q^{7} +(9.99825 - 60.9866i) q^{8} +(26.7034 + 3.99100i) q^{9} +O(q^{10})\) \(q+(-0.285117 + 5.25867i) q^{2} +(5.18186 + 0.385093i) q^{3} +(-19.6192 - 2.13372i) q^{4} +(6.02049 - 17.8682i) q^{5} +(-3.50252 + 27.1399i) q^{6} +(18.4360 + 27.1910i) q^{7} +(9.99825 - 60.9866i) q^{8} +(26.7034 + 3.99100i) q^{9} +(92.2463 + 36.7543i) q^{10} +(33.6603 - 7.40920i) q^{11} +(-100.842 - 18.6119i) q^{12} +(-30.7484 + 26.1179i) q^{13} +(-148.245 + 89.1961i) q^{14} +(38.0783 - 90.2720i) q^{15} +(163.670 + 36.0264i) q^{16} +(21.0742 + 14.2886i) q^{17} +(-28.6010 + 139.287i) q^{18} +(-27.1221 + 51.1576i) q^{19} +(-156.243 + 337.714i) q^{20} +(85.0616 + 148.000i) q^{21} +(29.3654 + 179.121i) q^{22} +(40.8133 - 38.6605i) q^{23} +(75.2951 - 312.174i) q^{24} +(-183.514 - 139.503i) q^{25} +(-128.579 - 169.142i) q^{26} +(136.836 + 30.9641i) q^{27} +(-303.682 - 572.804i) q^{28} +(95.8565 - 5.19719i) q^{29} +(463.854 + 225.979i) q^{30} +(-172.470 + 91.4376i) q^{31} +(-103.848 + 374.028i) q^{32} +(177.276 - 25.4311i) q^{33} +(-81.1479 + 106.748i) q^{34} +(596.847 - 165.714i) q^{35} +(-515.385 - 135.278i) q^{36} +(273.967 - 44.9147i) q^{37} +(-261.288 - 157.212i) q^{38} +(-169.392 + 123.498i) q^{39} +(-1029.52 - 545.819i) q^{40} +(-102.169 + 107.858i) q^{41} +(-802.535 + 405.114i) q^{42} +(89.6907 - 407.469i) q^{43} +(-676.199 + 73.5410i) q^{44} +(232.079 - 453.113i) q^{45} +(191.666 + 225.647i) q^{46} +(-253.882 + 85.5429i) q^{47} +(834.240 + 249.712i) q^{48} +(-272.510 + 683.947i) q^{49} +(785.925 - 925.263i) q^{50} +(103.701 + 82.1573i) q^{51} +(658.987 - 446.805i) q^{52} +(-112.203 + 44.7058i) q^{53} +(-201.845 + 710.750i) q^{54} +(70.2627 - 646.055i) q^{55} +(1842.62 - 852.485i) q^{56} +(-160.243 + 254.647i) q^{57} +505.560i q^{58} +(-453.045 + 11.3800i) q^{59} +(-939.681 + 1689.82i) q^{60} +(339.295 + 18.3960i) q^{61} +(-431.666 - 933.032i) q^{62} +(383.784 + 799.671i) q^{63} +(-666.763 - 224.659i) q^{64} +(281.559 + 706.659i) q^{65} +(83.1892 + 939.489i) q^{66} +(-392.985 - 64.4266i) q^{67} +(-382.971 - 325.299i) q^{68} +(226.377 - 184.616i) q^{69} +(701.264 + 3185.87i) q^{70} +(-246.795 - 732.463i) q^{71} +(510.385 - 1588.65i) q^{72} +(1.60989 + 2.67566i) q^{73} +(158.079 + 1453.51i) q^{74} +(-897.220 - 793.557i) q^{75} +(641.270 - 945.802i) q^{76} +(822.024 + 778.663i) q^{77} +(-601.141 - 925.986i) q^{78} +(-92.3359 - 42.7191i) q^{79} +(1629.10 - 2707.58i) q^{80} +(697.144 + 213.147i) q^{81} +(-538.061 - 568.024i) q^{82} +(-184.111 - 663.110i) q^{83} +(-1353.05 - 3085.14i) q^{84} +(382.189 - 290.532i) q^{85} +(2117.17 + 587.830i) q^{86} +(498.717 + 9.98258i) q^{87} +(-115.318 - 2126.91i) q^{88} +(-17.2785 - 318.682i) q^{89} +(2316.60 + 1349.62i) q^{90} +(-1277.05 - 354.571i) q^{91} +(-883.217 + 671.404i) q^{92} +(-928.926 + 407.400i) q^{93} +(-377.456 - 1359.47i) q^{94} +(750.805 + 792.615i) q^{95} +(-682.164 + 1898.17i) q^{96} +(-470.011 + 781.164i) q^{97} +(-3518.96 - 1628.04i) q^{98} +(928.415 - 63.5124i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.285117 + 5.25867i −0.100804 + 1.85922i 0.314143 + 0.949376i \(0.398283\pi\)
−0.414947 + 0.909846i \(0.636200\pi\)
\(3\) 5.18186 + 0.385093i 0.997250 + 0.0741112i
\(4\) −19.6192 2.13372i −2.45240 0.266715i
\(5\) 6.02049 17.8682i 0.538489 1.59818i −0.240171 0.970731i \(-0.577203\pi\)
0.778659 0.627447i \(-0.215900\pi\)
\(6\) −3.50252 + 27.1399i −0.238316 + 1.84664i
\(7\) 18.4360 + 27.1910i 0.995449 + 1.46818i 0.880063 + 0.474857i \(0.157500\pi\)
0.115386 + 0.993321i \(0.463189\pi\)
\(8\) 9.99825 60.9866i 0.441864 2.69525i
\(9\) 26.7034 + 3.99100i 0.989015 + 0.147815i
\(10\) 92.2463 + 36.7543i 2.91708 + 1.16227i
\(11\) 33.6603 7.40920i 0.922633 0.203087i 0.271840 0.962342i \(-0.412368\pi\)
0.650793 + 0.759255i \(0.274437\pi\)
\(12\) −100.842 18.6119i −2.42589 0.447732i
\(13\) −30.7484 + 26.1179i −0.656005 + 0.557215i −0.912371 0.409364i \(-0.865750\pi\)
0.256366 + 0.966580i \(0.417475\pi\)
\(14\) −148.245 + 89.1961i −2.83001 + 1.70276i
\(15\) 38.0783 90.2720i 0.655451 1.55387i
\(16\) 163.670 + 36.0264i 2.55734 + 0.562913i
\(17\) 21.0742 + 14.2886i 0.300661 + 0.203853i 0.702184 0.711996i \(-0.252209\pi\)
−0.401523 + 0.915849i \(0.631519\pi\)
\(18\) −28.6010 + 139.287i −0.374517 + 1.82390i
\(19\) −27.1221 + 51.1576i −0.327486 + 0.617703i −0.991513 0.130005i \(-0.958501\pi\)
0.664028 + 0.747708i \(0.268846\pi\)
\(20\) −156.243 + 337.714i −1.74685 + 3.77575i
\(21\) 85.0616 + 148.000i 0.883903 + 1.53791i
\(22\) 29.3654 + 179.121i 0.284578 + 1.73585i
\(23\) 40.8133 38.6605i 0.370007 0.350490i −0.479992 0.877273i \(-0.659361\pi\)
0.850000 + 0.526783i \(0.176602\pi\)
\(24\) 75.2951 312.174i 0.640398 2.65509i
\(25\) −183.514 139.503i −1.46811 1.11603i
\(26\) −128.579 169.142i −0.969859 1.27583i
\(27\) 136.836 + 30.9641i 0.975340 + 0.220706i
\(28\) −303.682 572.804i −2.04966 3.86607i
\(29\) 95.8565 5.19719i 0.613797 0.0332791i 0.255380 0.966841i \(-0.417799\pi\)
0.358417 + 0.933562i \(0.383317\pi\)
\(30\) 463.854 + 225.979i 2.82292 + 1.37526i
\(31\) −172.470 + 91.4376i −0.999241 + 0.529764i −0.885941 0.463797i \(-0.846487\pi\)
−0.113299 + 0.993561i \(0.536142\pi\)
\(32\) −103.848 + 374.028i −0.573687 + 2.06623i
\(33\) 177.276 25.4311i 0.935147 0.134151i
\(34\) −81.1479 + 106.748i −0.409316 + 0.538446i
\(35\) 596.847 165.714i 2.88245 0.800307i
\(36\) −515.385 135.278i −2.38604 0.626287i
\(37\) 273.967 44.9147i 1.21730 0.199566i 0.481303 0.876554i \(-0.340164\pi\)
0.735993 + 0.676989i \(0.236715\pi\)
\(38\) −261.288 157.212i −1.11544 0.671135i
\(39\) −169.392 + 123.498i −0.695496 + 0.507066i
\(40\) −1029.52 545.819i −4.06955 2.15754i
\(41\) −102.169 + 107.858i −0.389172 + 0.410844i −0.890913 0.454174i \(-0.849935\pi\)
0.501741 + 0.865018i \(0.332693\pi\)
\(42\) −802.535 + 405.114i −2.94842 + 1.48834i
\(43\) 89.6907 407.469i 0.318086 1.44508i −0.498014 0.867169i \(-0.665937\pi\)
0.816100 0.577911i \(-0.196132\pi\)
\(44\) −676.199 + 73.5410i −2.31684 + 0.251971i
\(45\) 232.079 453.113i 0.768808 1.50103i
\(46\) 191.666 + 225.647i 0.614339 + 0.723256i
\(47\) −253.882 + 85.5429i −0.787927 + 0.265483i −0.684365 0.729140i \(-0.739920\pi\)
−0.103562 + 0.994623i \(0.533024\pi\)
\(48\) 834.240 + 249.712i 2.50859 + 0.750892i
\(49\) −272.510 + 683.947i −0.794488 + 1.99402i
\(50\) 785.925 925.263i 2.22293 2.61704i
\(51\) 103.701 + 82.1573i 0.284726 + 0.225575i
\(52\) 658.987 446.805i 1.75741 1.19155i
\(53\) −112.203 + 44.7058i −0.290798 + 0.115864i −0.510975 0.859595i \(-0.670716\pi\)
0.220178 + 0.975460i \(0.429336\pi\)
\(54\) −201.845 + 710.750i −0.508659 + 1.79113i
\(55\) 70.2627 646.055i 0.172259 1.58389i
\(56\) 1842.62 852.485i 4.39696 2.03425i
\(57\) −160.243 + 254.647i −0.372364 + 0.591734i
\(58\) 505.560i 1.14454i
\(59\) −453.045 + 11.3800i −0.999685 + 0.0251110i
\(60\) −939.681 + 1689.82i −2.02187 + 3.63591i
\(61\) 339.295 + 18.3960i 0.712169 + 0.0386127i 0.406664 0.913578i \(-0.366692\pi\)
0.305505 + 0.952191i \(0.401175\pi\)
\(62\) −431.666 933.032i −0.884221 1.91121i
\(63\) 383.784 + 799.671i 0.767496 + 1.59919i
\(64\) −666.763 224.659i −1.30227 0.438786i
\(65\) 281.559 + 706.659i 0.537278 + 1.34847i
\(66\) 83.1892 + 939.489i 0.155150 + 1.75217i
\(67\) −392.985 64.4266i −0.716579 0.117477i −0.207547 0.978225i \(-0.566548\pi\)
−0.509031 + 0.860748i \(0.669996\pi\)
\(68\) −382.971 325.299i −0.682972 0.580121i
\(69\) 226.377 184.616i 0.394965 0.322104i
\(70\) 701.264 + 3185.87i 1.19739 + 5.43978i
\(71\) −246.795 732.463i −0.412524 1.22433i −0.929658 0.368424i \(-0.879897\pi\)
0.517133 0.855905i \(-0.326999\pi\)
\(72\) 510.385 1588.65i 0.835409 2.60033i
\(73\) 1.60989 + 2.67566i 0.00258115 + 0.00428990i 0.858145 0.513407i \(-0.171617\pi\)
−0.855564 + 0.517697i \(0.826789\pi\)
\(74\) 158.079 + 1453.51i 0.248328 + 2.28334i
\(75\) −897.220 793.557i −1.38136 1.22176i
\(76\) 641.270 945.802i 0.967878 1.42751i
\(77\) 822.024 + 778.663i 1.21660 + 1.15243i
\(78\) −601.141 925.986i −0.872638 1.34420i
\(79\) −92.3359 42.7191i −0.131501 0.0608390i 0.353035 0.935610i \(-0.385150\pi\)
−0.484536 + 0.874771i \(0.661012\pi\)
\(80\) 1629.10 2707.58i 2.27673 3.78396i
\(81\) 697.144 + 213.147i 0.956302 + 0.292382i
\(82\) −538.061 568.024i −0.724620 0.764972i
\(83\) −184.111 663.110i −0.243480 0.876936i −0.979746 0.200244i \(-0.935826\pi\)
0.736266 0.676692i \(-0.236587\pi\)
\(84\) −1353.05 3085.14i −1.75750 4.00734i
\(85\) 382.189 290.532i 0.487696 0.370737i
\(86\) 2117.17 + 587.830i 2.65466 + 0.737063i
\(87\) 498.717 + 9.98258i 0.614575 + 0.0123017i
\(88\) −115.318 2126.91i −0.139692 2.57647i
\(89\) −17.2785 318.682i −0.0205788 0.379554i −0.990623 0.136625i \(-0.956375\pi\)
0.970044 0.242929i \(-0.0781082\pi\)
\(90\) 2316.60 + 1349.62i 2.71324 + 1.58069i
\(91\) −1277.05 354.571i −1.47111 0.408452i
\(92\) −883.217 + 671.404i −1.00089 + 0.760856i
\(93\) −928.926 + 407.400i −1.03575 + 0.454252i
\(94\) −377.456 1359.47i −0.414166 1.49169i
\(95\) 750.805 + 792.615i 0.810852 + 0.856006i
\(96\) −682.164 + 1898.17i −0.725241 + 2.01804i
\(97\) −470.011 + 781.164i −0.491983 + 0.817682i −0.999021 0.0442417i \(-0.985913\pi\)
0.507038 + 0.861924i \(0.330740\pi\)
\(98\) −3518.96 1628.04i −3.62723 1.67813i
\(99\) 928.415 63.5124i 0.942517 0.0644771i
\(100\) 3302.73 + 3128.52i 3.30273 + 3.12852i
\(101\) 457.003 674.029i 0.450233 0.664043i −0.533060 0.846078i \(-0.678958\pi\)
0.983292 + 0.182034i \(0.0582682\pi\)
\(102\) −461.605 + 521.905i −0.448095 + 0.506631i
\(103\) −140.487 1291.76i −0.134395 1.23574i −0.846010 0.533168i \(-0.821002\pi\)
0.711615 0.702569i \(-0.247964\pi\)
\(104\) 1285.41 + 2136.37i 1.21197 + 2.01431i
\(105\) 3156.60 628.865i 2.93383 0.584485i
\(106\) −203.102 602.785i −0.186104 0.552337i
\(107\) −191.372 869.412i −0.172903 0.785507i −0.980617 0.195933i \(-0.937227\pi\)
0.807714 0.589574i \(-0.200704\pi\)
\(108\) −2618.56 899.463i −2.33306 0.801397i
\(109\) 966.791 + 821.200i 0.849558 + 0.721621i 0.962296 0.272004i \(-0.0876864\pi\)
−0.112739 + 0.993625i \(0.535962\pi\)
\(110\) 3377.36 + 553.690i 2.92744 + 0.479930i
\(111\) 1436.96 127.239i 1.22874 0.108801i
\(112\) 2037.81 + 5114.53i 1.71924 + 4.31498i
\(113\) 58.8778 + 19.8382i 0.0490155 + 0.0165153i 0.343703 0.939079i \(-0.388319\pi\)
−0.294687 + 0.955594i \(0.595215\pi\)
\(114\) −1293.42 915.271i −1.06263 0.751956i
\(115\) −445.075 962.014i −0.360900 0.780072i
\(116\) −1891.72 102.566i −1.51415 0.0820950i
\(117\) −925.322 + 574.720i −0.731163 + 0.454127i
\(118\) 69.3270 2385.66i 0.0540853 1.86117i
\(119\) 836.454i 0.644349i
\(120\) −5124.66 3224.82i −3.89846 2.45321i
\(121\) −129.862 + 60.0807i −0.0975675 + 0.0451395i
\(122\) −193.478 + 1779.00i −0.143579 + 1.32019i
\(123\) −570.960 + 519.562i −0.418550 + 0.380872i
\(124\) 3578.82 1425.93i 2.59184 1.03268i
\(125\) −1646.73 + 1116.51i −1.17831 + 0.798911i
\(126\) −4314.63 + 1790.19i −3.05062 + 1.26574i
\(127\) −1223.04 + 1439.87i −0.854545 + 1.00605i 0.145316 + 0.989385i \(0.453580\pi\)
−0.999861 + 0.0166630i \(0.994696\pi\)
\(128\) 222.077 557.371i 0.153352 0.384884i
\(129\) 621.679 2076.91i 0.424308 1.41753i
\(130\) −3796.37 + 1279.14i −2.56126 + 0.862988i
\(131\) −31.8600 37.5085i −0.0212490 0.0250163i 0.751435 0.659807i \(-0.229362\pi\)
−0.772684 + 0.634791i \(0.781086\pi\)
\(132\) −3532.29 + 120.680i −2.32914 + 0.0795746i
\(133\) −1891.05 + 205.664i −1.23289 + 0.134085i
\(134\) 450.845 2048.21i 0.290650 1.32044i
\(135\) 1377.09 2258.60i 0.877936 1.43992i
\(136\) 1082.12 1142.38i 0.682287 0.720282i
\(137\) −158.923 84.2558i −0.0991075 0.0525435i 0.418117 0.908393i \(-0.362690\pi\)
−0.517225 + 0.855850i \(0.673035\pi\)
\(138\) 906.292 + 1243.08i 0.559049 + 0.766797i
\(139\) 1191.81 + 717.090i 0.727254 + 0.437574i 0.830454 0.557087i \(-0.188081\pi\)
−0.103201 + 0.994661i \(0.532908\pi\)
\(140\) −12063.3 + 1977.67i −7.28238 + 1.19389i
\(141\) −1348.53 + 345.503i −0.805435 + 0.206359i
\(142\) 3922.15 1088.98i 2.31788 0.643557i
\(143\) −841.487 + 1106.96i −0.492089 + 0.647331i
\(144\) 4226.75 + 1615.23i 2.44604 + 0.934742i
\(145\) 484.238 1744.07i 0.277337 0.998876i
\(146\) −14.5294 + 7.70302i −0.00823606 + 0.00436648i
\(147\) −1675.49 + 3439.18i −0.940083 + 1.92965i
\(148\) −5470.87 + 296.622i −3.03853 + 0.164744i
\(149\) −862.245 1626.37i −0.474079 0.894209i −0.999071 0.0431011i \(-0.986276\pi\)
0.524991 0.851108i \(-0.324069\pi\)
\(150\) 4428.87 4491.93i 2.41077 2.44510i
\(151\) −1286.77 1692.72i −0.693482 0.912260i 0.305723 0.952120i \(-0.401102\pi\)
−0.999205 + 0.0398606i \(0.987309\pi\)
\(152\) 2848.76 + 2165.57i 1.52016 + 1.15560i
\(153\) 505.726 + 465.663i 0.267226 + 0.246056i
\(154\) −4329.11 + 4100.75i −2.26525 + 2.14576i
\(155\) 595.471 + 3632.22i 0.308577 + 1.88224i
\(156\) 3586.84 2061.51i 1.84088 1.05803i
\(157\) 304.838 658.896i 0.154960 0.334941i −0.814510 0.580149i \(-0.802994\pi\)
0.969470 + 0.245208i \(0.0788564\pi\)
\(158\) 250.972 473.384i 0.126369 0.238357i
\(159\) −598.637 + 188.451i −0.298585 + 0.0939943i
\(160\) 6057.98 + 4107.41i 2.99328 + 2.02950i
\(161\) 1803.65 + 397.014i 0.882905 + 0.194342i
\(162\) −1319.64 + 3605.28i −0.640002 + 1.74850i
\(163\) 1041.04 626.373i 0.500249 0.300990i −0.242975 0.970033i \(-0.578123\pi\)
0.743224 + 0.669043i \(0.233296\pi\)
\(164\) 2234.61 1898.10i 1.06399 0.903758i
\(165\) 612.883 3320.71i 0.289169 1.56677i
\(166\) 3539.57 779.118i 1.65496 0.364285i
\(167\) 605.959 + 241.436i 0.280782 + 0.111874i 0.506278 0.862370i \(-0.331021\pi\)
−0.225496 + 0.974244i \(0.572400\pi\)
\(168\) 9876.47 3707.88i 4.53563 1.70279i
\(169\) −92.1178 + 561.894i −0.0419289 + 0.255755i
\(170\) 1418.85 + 2092.64i 0.640121 + 0.944107i
\(171\) −928.421 + 1257.84i −0.415194 + 0.562511i
\(172\) −2629.09 + 7802.86i −1.16550 + 3.45908i
\(173\) −2826.43 307.393i −1.24214 0.135090i −0.536644 0.843809i \(-0.680308\pi\)
−0.705491 + 0.708718i \(0.749274\pi\)
\(174\) −194.688 + 2619.74i −0.0848232 + 1.14139i
\(175\) 409.989 7561.80i 0.177099 3.26639i
\(176\) 5776.10 2.47381
\(177\) −2352.00 115.495i −0.998797 0.0490459i
\(178\) 1680.77 0.707748
\(179\) 250.584 4621.75i 0.104634 1.92987i −0.204536 0.978859i \(-0.565568\pi\)
0.309170 0.951007i \(-0.399949\pi\)
\(180\) −5520.04 + 8394.54i −2.28577 + 3.47607i
\(181\) −1905.59 207.246i −0.782550 0.0851075i −0.291882 0.956454i \(-0.594282\pi\)
−0.490668 + 0.871347i \(0.663247\pi\)
\(182\) 2228.68 6614.48i 0.907696 2.69395i
\(183\) 1751.10 + 225.986i 0.707349 + 0.0912862i
\(184\) −1949.71 2875.60i −0.781165 1.15213i
\(185\) 846.874 5165.70i 0.336559 2.05292i
\(186\) −1877.53 5001.07i −0.740147 1.97149i
\(187\) 815.231 + 324.818i 0.318800 + 0.127021i
\(188\) 5163.50 1136.57i 2.00312 0.440921i
\(189\) 1680.77 + 4291.58i 0.646867 + 1.65167i
\(190\) −4382.17 + 3722.25i −1.67324 + 1.42127i
\(191\) 1631.72 981.774i 0.618153 0.371930i −0.171769 0.985137i \(-0.554948\pi\)
0.789922 + 0.613207i \(0.210121\pi\)
\(192\) −3368.56 1420.92i −1.26617 0.534093i
\(193\) −1913.61 421.218i −0.713704 0.157098i −0.156746 0.987639i \(-0.550100\pi\)
−0.556958 + 0.830541i \(0.688031\pi\)
\(194\) −3973.88 2694.35i −1.47066 0.997131i
\(195\) 1186.87 + 3770.24i 0.435864 + 1.38458i
\(196\) 6805.78 12837.1i 2.48024 4.67823i
\(197\) 829.755 1793.49i 0.300089 0.648632i −0.697606 0.716481i \(-0.745752\pi\)
0.997696 + 0.0678490i \(0.0216136\pi\)
\(198\) 69.2839 + 4900.34i 0.0248676 + 1.75885i
\(199\) 496.574 + 3028.97i 0.176891 + 1.07898i 0.914747 + 0.404027i \(0.132390\pi\)
−0.737856 + 0.674958i \(0.764162\pi\)
\(200\) −10342.7 + 9797.08i −3.65668 + 3.46379i
\(201\) −2011.58 485.186i −0.705902 0.170261i
\(202\) 3414.20 + 2595.41i 1.18922 + 0.904020i
\(203\) 1908.52 + 2510.62i 0.659863 + 0.868035i
\(204\) −1859.23 1833.13i −0.638100 0.629142i
\(205\) 1312.12 + 2474.93i 0.447037 + 0.843202i
\(206\) 6833.00 370.474i 2.31106 0.125302i
\(207\) 1244.15 869.480i 0.417750 0.291947i
\(208\) −5973.51 + 3166.95i −1.99129 + 1.05571i
\(209\) −533.900 + 1922.93i −0.176702 + 0.636422i
\(210\) 2406.99 + 16778.8i 0.790944 + 5.51356i
\(211\) 1264.45 1663.36i 0.412553 0.542704i −0.542143 0.840286i \(-0.682387\pi\)
0.954696 + 0.297582i \(0.0961802\pi\)
\(212\) 2296.73 637.683i 0.744056 0.206586i
\(213\) −996.794 3890.56i −0.320653 1.25153i
\(214\) 4626.52 758.479i 1.47786 0.242283i
\(215\) −6740.74 4055.77i −2.13821 1.28652i
\(216\) 3256.52 8035.61i 1.02583 2.53127i
\(217\) −5665.93 3003.89i −1.77248 0.939710i
\(218\) −4594.07 + 4849.90i −1.42729 + 1.50677i
\(219\) 7.31187 + 14.4849i 0.00225612 + 0.00446940i
\(220\) −2757.00 + 12525.2i −0.844896 + 3.83840i
\(221\) −1021.19 + 111.061i −0.310825 + 0.0338043i
\(222\) 259.405 + 7592.77i 0.0784241 + 2.29546i
\(223\) −4128.18 4860.07i −1.23966 1.45944i −0.839832 0.542846i \(-0.817347\pi\)
−0.399825 0.916591i \(-0.630929\pi\)
\(224\) −12084.8 + 4071.83i −3.60468 + 1.21456i
\(225\) −4343.68 4457.62i −1.28702 1.32078i
\(226\) −121.110 + 303.963i −0.0356465 + 0.0894659i
\(227\) −2332.22 + 2745.71i −0.681917 + 0.802814i −0.988850 0.148917i \(-0.952421\pi\)
0.306933 + 0.951731i \(0.400697\pi\)
\(228\) 3687.20 4654.07i 1.07101 1.35186i
\(229\) 3002.99 2036.07i 0.866563 0.587544i −0.0448702 0.998993i \(-0.514287\pi\)
0.911433 + 0.411449i \(0.134977\pi\)
\(230\) 5185.82 2066.22i 1.48671 0.592358i
\(231\) 3959.76 + 4351.48i 1.12785 + 1.23942i
\(232\) 641.438 5897.92i 0.181519 1.66904i
\(233\) −9.66084 + 4.46958i −0.00271632 + 0.00125670i −0.421247 0.906946i \(-0.638407\pi\)
0.418530 + 0.908203i \(0.362545\pi\)
\(234\) −2758.44 5029.83i −0.770619 1.40517i
\(235\) 5051.42i 1.40221i
\(236\) 8912.67 + 743.404i 2.45833 + 0.205049i
\(237\) −462.021 256.923i −0.126631 0.0704174i
\(238\) −4398.64 238.487i −1.19799 0.0649530i
\(239\) −594.571 1285.14i −0.160919 0.347820i 0.810298 0.586018i \(-0.199305\pi\)
−0.971217 + 0.238198i \(0.923443\pi\)
\(240\) 9484.43 13403.0i 2.55090 3.60482i
\(241\) 445.279 + 150.032i 0.119016 + 0.0401013i 0.378180 0.925732i \(-0.376550\pi\)
−0.259163 + 0.965834i \(0.583447\pi\)
\(242\) −278.919 700.034i −0.0740892 0.185950i
\(243\) 3530.42 + 1372.96i 0.932003 + 0.362451i
\(244\) −6617.46 1084.88i −1.73623 0.284640i
\(245\) 10580.2 + 8986.94i 2.75897 + 2.34349i
\(246\) −2569.42 3150.63i −0.665935 0.816571i
\(247\) −502.171 2281.38i −0.129362 0.587696i
\(248\) 3852.08 + 11432.6i 0.986319 + 2.92729i
\(249\) −698.681 3507.04i −0.177820 0.892570i
\(250\) −5401.86 8977.97i −1.36658 2.27127i
\(251\) 426.553 + 3922.09i 0.107266 + 0.986296i 0.916834 + 0.399269i \(0.130736\pi\)
−0.809567 + 0.587027i \(0.800298\pi\)
\(252\) −5823.27 16507.8i −1.45568 4.12657i
\(253\) 1087.35 1603.72i 0.270201 0.398517i
\(254\) −7223.11 6842.10i −1.78432 1.69020i
\(255\) 2092.33 1358.32i 0.513831 0.333574i
\(256\) −2240.80 1036.71i −0.547071 0.253102i
\(257\) −2950.78 + 4904.23i −0.716204 + 1.19034i 0.258321 + 0.966059i \(0.416831\pi\)
−0.974525 + 0.224281i \(0.927997\pi\)
\(258\) 10744.5 + 3861.37i 2.59273 + 0.931776i
\(259\) 6272.13 + 6621.41i 1.50475 + 1.58855i
\(260\) −4016.15 14464.9i −0.957967 3.45028i
\(261\) 2580.44 + 243.781i 0.611973 + 0.0578148i
\(262\) 206.329 156.847i 0.0486528 0.0369849i
\(263\) 162.485 + 45.1138i 0.0380961 + 0.0105773i 0.286524 0.958073i \(-0.407500\pi\)
−0.248428 + 0.968650i \(0.579914\pi\)
\(264\) 221.498 11065.7i 0.0516373 2.57973i
\(265\) 123.293 + 2274.01i 0.0285806 + 0.527138i
\(266\) −542.350 10003.1i −0.125013 2.30574i
\(267\) 33.1879 1658.02i 0.00760698 0.380035i
\(268\) 7572.60 + 2102.52i 1.72601 + 0.479224i
\(269\) −3463.81 + 2633.12i −0.785101 + 0.596819i −0.919037 0.394171i \(-0.871032\pi\)
0.133935 + 0.990990i \(0.457239\pi\)
\(270\) 11484.6 + 7885.65i 2.58863 + 1.77743i
\(271\) 750.848 + 2704.31i 0.168305 + 0.606181i 0.998792 + 0.0491423i \(0.0156488\pi\)
−0.830486 + 0.557039i \(0.811937\pi\)
\(272\) 2934.43 + 3097.84i 0.654140 + 0.690568i
\(273\) −6480.95 2329.12i −1.43679 0.516354i
\(274\) 488.385 811.703i 0.107680 0.178966i
\(275\) −7210.73 3336.04i −1.58118 0.731530i
\(276\) −4835.26 + 3139.00i −1.05452 + 0.684586i
\(277\) 1375.29 + 1302.74i 0.298314 + 0.282578i 0.822186 0.569219i \(-0.192754\pi\)
−0.523872 + 0.851797i \(0.675513\pi\)
\(278\) −4110.75 + 6062.90i −0.886857 + 1.30802i
\(279\) −4970.45 + 1753.37i −1.06657 + 0.376242i
\(280\) −4138.90 38056.5i −0.883380 8.12255i
\(281\) 4813.00 + 7999.28i 1.02178 + 1.69821i 0.625892 + 0.779910i \(0.284735\pi\)
0.395886 + 0.918300i \(0.370437\pi\)
\(282\) −1432.40 7189.96i −0.302476 1.51828i
\(283\) 2178.76 + 6466.34i 0.457647 + 1.35825i 0.889760 + 0.456428i \(0.150871\pi\)
−0.432114 + 0.901819i \(0.642232\pi\)
\(284\) 3279.07 + 14897.0i 0.685130 + 3.11258i
\(285\) 3585.34 + 4396.35i 0.745183 + 0.913746i
\(286\) −5581.20 4740.71i −1.15393 0.980155i
\(287\) −4816.36 789.601i −0.990594 0.162400i
\(288\) −4265.86 + 9573.37i −0.872805 + 1.95874i
\(289\) −1578.53 3961.82i −0.321297 0.806395i
\(290\) 9033.42 + 3043.71i 1.82918 + 0.616321i
\(291\) −2736.35 + 3866.89i −0.551229 + 0.778972i
\(292\) −25.8758 55.9295i −0.00518584 0.0112090i
\(293\) 4616.38 + 250.293i 0.920451 + 0.0499054i 0.508271 0.861197i \(-0.330285\pi\)
0.412180 + 0.911103i \(0.364768\pi\)
\(294\) −17607.8 9791.42i −3.49289 1.94234i
\(295\) −2524.21 + 8163.59i −0.498187 + 1.61120i
\(296\) 17157.4i 3.36910i
\(297\) 4835.38 + 28.4140i 0.944704 + 0.00555135i
\(298\) 8798.37 4070.56i 1.71032 0.791279i
\(299\) −245.214 + 2254.70i −0.0474284 + 0.436097i
\(300\) 15909.5 + 17483.4i 3.06179 + 3.36468i
\(301\) 12733.0 5073.31i 2.43827 0.971497i
\(302\) 9268.31 6284.07i 1.76600 1.19738i
\(303\) 2627.69 3316.74i 0.498208 0.628850i
\(304\) −6282.08 + 7395.84i −1.18520 + 1.39533i
\(305\) 2371.43 5951.83i 0.445205 1.11738i
\(306\) −2592.96 + 2526.68i −0.484410 + 0.472028i
\(307\) 62.5271 21.0678i 0.0116241 0.00391663i −0.313483 0.949594i \(-0.601496\pi\)
0.325108 + 0.945677i \(0.394599\pi\)
\(308\) −14466.0 17030.7i −2.67623 3.15070i
\(309\) −230.538 6747.83i −0.0424429 1.24230i
\(310\) −19270.4 + 2095.78i −3.53060 + 0.383976i
\(311\) −1058.04 + 4806.75i −0.192914 + 0.876417i 0.776332 + 0.630324i \(0.217078\pi\)
−0.969246 + 0.246093i \(0.920853\pi\)
\(312\) 5838.12 + 11565.4i 1.05935 + 2.09859i
\(313\) −7182.14 + 7582.10i −1.29699 + 1.36922i −0.406878 + 0.913483i \(0.633383\pi\)
−0.890115 + 0.455736i \(0.849376\pi\)
\(314\) 3378.01 + 1790.91i 0.607108 + 0.321868i
\(315\) 16599.2 2043.11i 2.96908 0.365448i
\(316\) 1720.41 + 1035.14i 0.306268 + 0.184275i
\(317\) −3364.02 + 551.503i −0.596032 + 0.0977144i −0.452244 0.891894i \(-0.649376\pi\)
−0.143787 + 0.989609i \(0.545928\pi\)
\(318\) −820.318 3201.76i −0.144658 0.564610i
\(319\) 3188.05 885.158i 0.559551 0.155358i
\(320\) −8028.47 + 10561.3i −1.40252 + 1.84498i
\(321\) −656.859 4578.87i −0.114213 0.796161i
\(322\) −2602.02 + 9371.61i −0.450325 + 1.62192i
\(323\) −1302.55 + 690.567i −0.224383 + 0.118960i
\(324\) −13222.6 5669.28i −2.26726 0.972100i
\(325\) 9286.27 503.487i 1.58495 0.0859337i
\(326\) 2997.07 + 5653.08i 0.509180 + 0.960414i
\(327\) 4693.54 + 4627.65i 0.793741 + 0.782598i
\(328\) 5556.40 + 7309.31i 0.935368 + 1.23046i
\(329\) −7006.57 5326.26i −1.17412 0.892541i
\(330\) 17287.8 + 4169.74i 2.88382 + 0.695566i
\(331\) −8448.95 + 8003.27i −1.40301 + 1.32900i −0.524392 + 0.851477i \(0.675707\pi\)
−0.878618 + 0.477525i \(0.841534\pi\)
\(332\) 2197.24 + 13402.5i 0.363220 + 2.21554i
\(333\) 7495.12 105.970i 1.23342 0.0174389i
\(334\) −1442.40 + 3117.70i −0.236302 + 0.510758i
\(335\) −3517.15 + 6634.04i −0.573619 + 1.08196i
\(336\) 8590.10 + 27287.5i 1.39473 + 4.43053i
\(337\) −1208.04 819.071i −0.195270 0.132397i 0.459634 0.888109i \(-0.347981\pi\)
−0.654904 + 0.755712i \(0.727291\pi\)
\(338\) −2928.55 644.623i −0.471278 0.103736i
\(339\) 297.457 + 125.472i 0.0476568 + 0.0201024i
\(340\) −8118.16 + 4884.54i −1.29491 + 0.779121i
\(341\) −5127.90 + 4355.68i −0.814345 + 0.691710i
\(342\) −6349.85 5240.89i −1.00398 0.828641i
\(343\) −12616.5 + 2777.10i −1.98609 + 0.437171i
\(344\) −23953.4 9543.91i −3.75430 1.49585i
\(345\) −1935.85 5156.42i −0.302095 0.804674i
\(346\) 2422.34 14775.6i 0.376375 2.29579i
\(347\) −5665.87 8356.53i −0.876541 1.29280i −0.955219 0.295901i \(-0.904380\pi\)
0.0786775 0.996900i \(-0.474930\pi\)
\(348\) −9763.14 1259.97i −1.50391 0.194085i
\(349\) 545.963 1620.36i 0.0837385 0.248527i −0.897601 0.440808i \(-0.854692\pi\)
0.981340 + 0.192281i \(0.0615885\pi\)
\(350\) 39648.1 + 4312.00i 6.05509 + 0.658531i
\(351\) −5016.21 + 2621.78i −0.762808 + 0.398691i
\(352\) −724.323 + 13359.3i −0.109678 + 2.02288i
\(353\) 8475.16 1.27787 0.638934 0.769262i \(-0.279376\pi\)
0.638934 + 0.769262i \(0.279376\pi\)
\(354\) 1277.94 12335.5i 0.191870 1.85204i
\(355\) −14573.6 −2.17883
\(356\) −340.989 + 6289.17i −0.0507651 + 0.936307i
\(357\) −322.113 + 4334.39i −0.0477535 + 0.642577i
\(358\) 24232.8 + 2635.48i 3.57750 + 0.389077i
\(359\) 1946.44 5776.84i 0.286154 0.849275i −0.704112 0.710089i \(-0.748655\pi\)
0.990266 0.139186i \(-0.0444487\pi\)
\(360\) −25313.4 18684.1i −3.70593 2.73538i
\(361\) 1967.69 + 2902.12i 0.286876 + 0.423111i
\(362\) 1633.15 9961.80i 0.237118 1.44635i
\(363\) −696.066 + 261.321i −0.100645 + 0.0377846i
\(364\) 24298.2 + 9681.27i 3.49882 + 1.39406i
\(365\) 57.5016 12.6570i 0.00824594 0.00181507i
\(366\) −1687.65 + 9144.01i −0.241025 + 1.30592i
\(367\) 4577.52 3888.18i 0.651076 0.553029i −0.259824 0.965656i \(-0.583665\pi\)
0.910900 + 0.412627i \(0.135389\pi\)
\(368\) 8072.70 4857.18i 1.14353 0.688039i
\(369\) −3158.71 + 2472.43i −0.445626 + 0.348806i
\(370\) 26923.3 + 5926.26i 3.78290 + 0.832680i
\(371\) −3284.17 2226.72i −0.459584 0.311605i
\(372\) 19094.1 6010.81i 2.66124 0.837758i
\(373\) −3988.64 + 7523.37i −0.553683 + 1.04436i 0.435846 + 0.900021i \(0.356449\pi\)
−0.989529 + 0.144336i \(0.953896\pi\)
\(374\) −1940.55 + 4194.42i −0.268297 + 0.579915i
\(375\) −8963.11 + 5151.47i −1.23427 + 0.709389i
\(376\) 2678.59 + 16338.7i 0.367388 + 2.24097i
\(377\) −2811.69 + 2663.37i −0.384110 + 0.363848i
\(378\) −23047.2 + 7615.00i −3.13603 + 1.03617i
\(379\) 1764.58 + 1341.40i 0.239157 + 0.181803i 0.717887 0.696160i \(-0.245110\pi\)
−0.478730 + 0.877962i \(0.658903\pi\)
\(380\) −13039.0 17152.5i −1.76023 2.31554i
\(381\) −6892.11 + 6990.24i −0.926755 + 0.939950i
\(382\) 4697.60 + 8860.61i 0.629188 + 1.18678i
\(383\) 2679.24 145.264i 0.357449 0.0193803i 0.125460 0.992099i \(-0.459959\pi\)
0.231989 + 0.972718i \(0.425477\pi\)
\(384\) 1365.41 2802.70i 0.181454 0.372460i
\(385\) 18862.3 10000.1i 2.49691 1.32378i
\(386\) 2760.65 9942.96i 0.364024 1.31110i
\(387\) 4021.26 10522.9i 0.528196 1.38219i
\(388\) 10888.0 14323.0i 1.42463 1.87407i
\(389\) 11596.3 3219.71i 1.51146 0.419655i 0.589767 0.807573i \(-0.299220\pi\)
0.921694 + 0.387918i \(0.126806\pi\)
\(390\) −20164.8 + 5166.40i −2.61817 + 0.670797i
\(391\) 1412.51 231.570i 0.182695 0.0299514i
\(392\) 38987.0 + 23457.7i 5.02332 + 3.02243i
\(393\) −150.650 206.633i −0.0193366 0.0265223i
\(394\) 9194.77 + 4874.76i 1.17570 + 0.623317i
\(395\) −1319.22 + 1392.68i −0.168043 + 0.177401i
\(396\) −18350.3 734.914i −2.32863 0.0932596i
\(397\) −596.495 + 2709.90i −0.0754086 + 0.342585i −0.999186 0.0403457i \(-0.987154\pi\)
0.923777 + 0.382930i \(0.125085\pi\)
\(398\) −16069.9 + 1747.71i −2.02390 + 0.220113i
\(399\) −9878.36 + 337.492i −1.23944 + 0.0423452i
\(400\) −25009.8 29443.8i −3.12622 3.68047i
\(401\) −3093.70 + 1042.39i −0.385267 + 0.129812i −0.505269 0.862962i \(-0.668607\pi\)
0.120002 + 0.992774i \(0.461710\pi\)
\(402\) 3124.97 10439.9i 0.387710 1.29526i
\(403\) 2915.00 7316.10i 0.360314 0.904320i
\(404\) −10404.2 + 12248.8i −1.28126 + 1.50842i
\(405\) 8005.69 11173.4i 0.982236 1.37090i
\(406\) −13746.7 + 9320.48i −1.68039 + 1.13933i
\(407\) 8889.05 3541.72i 1.08259 0.431343i
\(408\) 6047.32 5502.94i 0.733792 0.667736i
\(409\) 340.992 3135.37i 0.0412249 0.379056i −0.955292 0.295664i \(-0.904459\pi\)
0.996517 0.0833922i \(-0.0265754\pi\)
\(410\) −13388.9 + 6194.38i −1.61276 + 0.746143i
\(411\) −791.072 497.802i −0.0949409 0.0597440i
\(412\) 25643.1i 3.06637i
\(413\) −8661.76 12109.0i −1.03200 1.44272i
\(414\) 4217.58 + 6790.48i 0.500683 + 0.806120i
\(415\) −12957.0 702.508i −1.53261 0.0830958i
\(416\) −6575.66 14213.1i −0.774996 1.67513i
\(417\) 5899.66 + 4174.82i 0.692825 + 0.490268i
\(418\) −9959.86 3355.87i −1.16544 0.392681i
\(419\) 3836.55 + 9629.02i 0.447322 + 1.12269i 0.963855 + 0.266426i \(0.0858428\pi\)
−0.516534 + 0.856267i \(0.672778\pi\)
\(420\) −63271.8 + 5602.55i −7.35083 + 0.650896i
\(421\) −9337.15 1530.75i −1.08091 0.177207i −0.405095 0.914275i \(-0.632762\pi\)
−0.675819 + 0.737068i \(0.736210\pi\)
\(422\) 8386.55 + 7123.60i 0.967420 + 0.821734i
\(423\) −7120.93 + 1271.04i −0.818514 + 0.146100i
\(424\) 1604.62 + 7289.86i 0.183791 + 0.834969i
\(425\) −1874.08 5562.08i −0.213897 0.634825i
\(426\) 20743.4 4132.55i 2.35920 0.470006i
\(427\) 5755.03 + 9564.93i 0.652238 + 1.08403i
\(428\) 1899.49 + 17465.5i 0.214522 + 1.97250i
\(429\) −4786.75 + 5412.05i −0.538710 + 0.609082i
\(430\) 23249.9 34291.0i 2.60746 3.84572i
\(431\) −12031.7 11397.0i −1.34465 1.27372i −0.931823 0.362913i \(-0.881782\pi\)
−0.412828 0.910809i \(-0.635459\pi\)
\(432\) 21280.4 + 9997.61i 2.37004 + 1.11345i
\(433\) 14103.0 + 6524.73i 1.56523 + 0.724153i 0.995236 0.0974942i \(-0.0310827\pi\)
0.569996 + 0.821648i \(0.306945\pi\)
\(434\) 17411.9 28938.8i 1.92580 3.20071i
\(435\) 3180.89 8851.05i 0.350602 0.975576i
\(436\) −17215.5 18174.2i −1.89099 1.99630i
\(437\) 870.835 + 3136.46i 0.0953265 + 0.343335i
\(438\) −78.2560 + 34.3208i −0.00853702 + 0.00374409i
\(439\) 6491.76 4934.91i 0.705774 0.536515i −0.189583 0.981865i \(-0.560714\pi\)
0.895357 + 0.445349i \(0.146921\pi\)
\(440\) −38698.2 10744.5i −4.19287 1.16415i
\(441\) −10006.6 + 17176.1i −1.08051 + 1.85467i
\(442\) −292.874 5401.74i −0.0315172 0.581300i
\(443\) 369.055 + 6806.81i 0.0395808 + 0.730026i 0.949217 + 0.314621i \(0.101877\pi\)
−0.909637 + 0.415405i \(0.863640\pi\)
\(444\) −28463.5 569.741i −3.04238 0.0608980i
\(445\) −5798.30 1609.89i −0.617675 0.171497i
\(446\) 26734.5 20323.1i 2.83838 2.15768i
\(447\) −3841.73 8759.65i −0.406505 0.926884i
\(448\) −6183.73 22271.8i −0.652129 2.34876i
\(449\) 3886.62 + 4103.06i 0.408510 + 0.431259i 0.897489 0.441037i \(-0.145389\pi\)
−0.488979 + 0.872296i \(0.662631\pi\)
\(450\) 24679.6 21571.0i 2.58535 2.25971i
\(451\) −2639.89 + 4387.53i −0.275626 + 0.458095i
\(452\) −1112.81 514.840i −0.115801 0.0535753i
\(453\) −6016.01 9266.95i −0.623966 0.961146i
\(454\) −13773.8 13047.2i −1.42387 1.34876i
\(455\) −14024.0 + 20683.8i −1.44495 + 2.13115i
\(456\) 13927.9 + 12318.7i 1.43034 + 1.26508i
\(457\) −539.935 4964.62i −0.0552672 0.508173i −0.988753 0.149559i \(-0.952215\pi\)
0.933486 0.358615i \(-0.116751\pi\)
\(458\) 9850.85 + 16372.2i 1.00502 + 1.67036i
\(459\) 2441.28 + 2607.75i 0.248255 + 0.265184i
\(460\) 6679.37 + 19823.7i 0.677015 + 2.00931i
\(461\) 952.418 + 4326.88i 0.0962224 + 0.437143i 0.999959 + 0.00905375i \(0.00288194\pi\)
−0.903737 + 0.428089i \(0.859187\pi\)
\(462\) −24012.0 + 19582.4i −2.41805 + 1.97198i
\(463\) 10354.6 + 8795.29i 1.03935 + 0.882834i 0.993237 0.116103i \(-0.0370401\pi\)
0.0461148 + 0.998936i \(0.485316\pi\)
\(464\) 15876.0 + 2602.74i 1.58842 + 0.260408i
\(465\) 1686.91 + 19051.0i 0.168233 + 1.89993i
\(466\) −20.7496 52.0775i −0.00206267 0.00517692i
\(467\) −5946.47 2003.60i −0.589229 0.198534i 0.00886468 0.999961i \(-0.497178\pi\)
−0.598093 + 0.801426i \(0.704075\pi\)
\(468\) 19380.4 9301.18i 1.91423 0.918691i
\(469\) −5493.24 11873.4i −0.540840 1.16901i
\(470\) −26563.8 1440.25i −2.60701 0.141348i
\(471\) 1833.37 3296.92i 0.179357 0.322535i
\(472\) −3835.62 + 27743.4i −0.374044 + 2.70550i
\(473\) 14380.1i 1.39788i
\(474\) 1482.80 2356.36i 0.143686 0.228336i
\(475\) 12113.9 5604.50i 1.17016 0.541373i
\(476\) 1784.76 16410.6i 0.171858 1.58021i
\(477\) −3174.62 + 745.994i −0.304730 + 0.0716074i
\(478\) 6927.67 2760.24i 0.662896 0.264122i
\(479\) −10255.9 + 6953.66i −0.978294 + 0.663300i −0.941849 0.336036i \(-0.890914\pi\)
−0.0364452 + 0.999336i \(0.511603\pi\)
\(480\) 29809.9 + 23616.9i 2.83464 + 2.24575i
\(481\) −7250.97 + 8536.50i −0.687351 + 0.809212i
\(482\) −915.925 + 2298.80i −0.0865545 + 0.217235i
\(483\) 9193.39 + 2751.84i 0.866074 + 0.259241i
\(484\) 2676.00 901.648i 0.251314 0.0846777i
\(485\) 11128.3 + 13101.2i 1.04187 + 1.22659i
\(486\) −8226.54 + 18173.9i −0.767826 + 1.69626i
\(487\) 15615.9 1698.34i 1.45303 0.158027i 0.652714 0.757604i \(-0.273630\pi\)
0.800316 + 0.599578i \(0.204665\pi\)
\(488\) 4514.27 20508.5i 0.418753 1.90241i
\(489\) 5635.74 2844.88i 0.521180 0.263088i
\(490\) −50276.0 + 53075.7i −4.63518 + 4.89330i
\(491\) 7541.19 + 3998.09i 0.693135 + 0.367477i 0.777435 0.628964i \(-0.216521\pi\)
−0.0843000 + 0.996440i \(0.526865\pi\)
\(492\) 12310.4 8975.14i 1.12804 0.822420i
\(493\) 2094.36 + 1260.13i 0.191329 + 0.115119i
\(494\) 12140.2 1990.29i 1.10570 0.181270i
\(495\) 4454.66 16971.5i 0.404489 1.54103i
\(496\) −31522.2 + 8752.10i −2.85361 + 0.792300i
\(497\) 15366.5 20214.3i 1.38689 1.82442i
\(498\) 18641.6 2674.22i 1.67741 0.240632i
\(499\) 2338.86 8423.83i 0.209824 0.755716i −0.781458 0.623957i \(-0.785524\pi\)
0.991282 0.131759i \(-0.0420624\pi\)
\(500\) 34690.0 18391.5i 3.10276 1.64498i
\(501\) 3047.02 + 1484.44i 0.271718 + 0.132375i
\(502\) −20746.6 + 1124.85i −1.84456 + 0.100009i
\(503\) 3041.52 + 5736.91i 0.269612 + 0.508541i 0.980938 0.194320i \(-0.0622501\pi\)
−0.711327 + 0.702862i \(0.751905\pi\)
\(504\) 52606.4 15410.4i 4.64936 1.36197i
\(505\) −9292.28 12223.8i −0.818814 1.07713i
\(506\) 8123.40 + 6175.25i 0.713694 + 0.542536i
\(507\) −693.723 + 2876.18i −0.0607679 + 0.251944i
\(508\) 27067.4 25639.6i 2.36402 2.23932i
\(509\) −2258.03 13773.4i −0.196632 1.19940i −0.882016 0.471220i \(-0.843814\pi\)
0.685384 0.728182i \(-0.259634\pi\)
\(510\) 6546.40 + 11390.2i 0.568391 + 0.988951i
\(511\) −43.0741 + 93.1031i −0.00372894 + 0.00805996i
\(512\) 8338.88 15728.8i 0.719785 1.35766i
\(513\) −5295.34 + 6160.42i −0.455741 + 0.530193i
\(514\) −24948.4 16915.4i −2.14091 1.45157i
\(515\) −23927.2 5266.77i −2.04730 0.450644i
\(516\) −16628.4 + 39420.9i −1.41865 + 3.36319i
\(517\) −7911.96 + 4760.47i −0.673051 + 0.404961i
\(518\) −36608.1 + 31095.2i −3.10515 + 2.63754i
\(519\) −14527.8 2681.31i −1.22871 0.226775i
\(520\) 45911.8 10106.0i 3.87186 0.852261i
\(521\) 21683.3 + 8639.42i 1.82334 + 0.726487i 0.982781 + 0.184774i \(0.0591554\pi\)
0.840564 + 0.541713i \(0.182224\pi\)
\(522\) −2017.69 + 13500.2i −0.169180 + 1.13197i
\(523\) 2758.38 16825.4i 0.230623 1.40674i −0.576860 0.816843i \(-0.695722\pi\)
0.807482 0.589892i \(-0.200830\pi\)
\(524\) 545.036 + 803.868i 0.0454389 + 0.0670174i
\(525\) 5036.51 39026.3i 0.418688 3.24428i
\(526\) −283.566 + 841.594i −0.0235058 + 0.0697628i
\(527\) −4941.17 537.385i −0.408427 0.0444191i
\(528\) 29930.9 + 2224.34i 2.46700 + 0.183337i
\(529\) −487.610 + 8993.43i −0.0400764 + 0.739166i
\(530\) −11993.4 −0.982947
\(531\) −12143.3 1504.22i −0.992415 0.122933i
\(532\) 37539.8 3.05932
\(533\) 324.491 5984.89i 0.0263701 0.486369i
\(534\) 8709.53 + 647.254i 0.705802 + 0.0524521i
\(535\) −16687.0 1814.82i −1.34849 0.146657i
\(536\) −7858.32 + 23322.7i −0.633261 + 1.87945i
\(537\) 3078.30 23852.8i 0.247371 1.91680i
\(538\) −12859.1 18965.8i −1.03048 1.51984i
\(539\) −4105.26 + 25041.0i −0.328063 + 2.00110i
\(540\) −31836.8 + 41373.6i −2.53710 + 3.29711i
\(541\) 10966.7 + 4369.54i 0.871527 + 0.347248i 0.762653 0.646807i \(-0.223896\pi\)
0.108874 + 0.994056i \(0.465276\pi\)
\(542\) −14435.2 + 3177.42i −1.14399 + 0.251811i
\(543\) −9794.71 1807.75i −0.774091 0.142869i
\(544\) −7532.88 + 6398.48i −0.593694 + 0.504288i
\(545\) 20493.9 12330.8i 1.61076 0.969159i
\(546\) 14095.9 33417.1i 1.10485 2.61927i
\(547\) −14526.6 3197.55i −1.13549 0.249941i −0.392832 0.919610i \(-0.628505\pi\)
−0.742659 + 0.669670i \(0.766436\pi\)
\(548\) 2938.17 + 1992.13i 0.229038 + 0.155291i
\(549\) 8986.92 + 1845.36i 0.698638 + 0.143458i
\(550\) 19599.0 36967.7i 1.51947 2.86602i
\(551\) −2333.95 + 5044.75i −0.180453 + 0.390043i
\(552\) −8995.74 15651.8i −0.693631 1.20686i
\(553\) −540.725 3298.28i −0.0415804 0.253629i
\(554\) −7242.82 + 6860.76i −0.555447 + 0.526148i
\(555\) 6377.66 26441.8i 0.487778 2.02233i
\(556\) −21852.4 16611.8i −1.66681 1.26708i
\(557\) 2622.33 + 3449.61i 0.199482 + 0.262414i 0.884947 0.465691i \(-0.154194\pi\)
−0.685465 + 0.728105i \(0.740401\pi\)
\(558\) −7803.23 26637.9i −0.592002 2.02092i
\(559\) 7884.39 + 14871.5i 0.596555 + 1.12522i
\(560\) 103656. 5620.06i 7.82189 0.424091i
\(561\) 4099.33 + 1997.10i 0.308509 + 0.150299i
\(562\) −43437.8 + 23029.3i −3.26035 + 1.72853i
\(563\) −4373.27 + 15751.1i −0.327373 + 1.17909i 0.598458 + 0.801155i \(0.295781\pi\)
−0.925831 + 0.377938i \(0.876633\pi\)
\(564\) 27194.3 3901.13i 2.03029 0.291254i
\(565\) 708.946 932.602i 0.0527886 0.0694422i
\(566\) −34625.6 + 9613.74i −2.57141 + 0.713950i
\(567\) 7056.85 + 22885.6i 0.522680 + 1.69507i
\(568\) −47137.9 + 7727.87i −3.48216 + 0.570870i
\(569\) −9798.14 5895.34i −0.721897 0.434351i 0.106631 0.994299i \(-0.465994\pi\)
−0.828528 + 0.559948i \(0.810821\pi\)
\(570\) −24141.2 + 17600.6i −1.77397 + 1.29335i
\(571\) 14613.3 + 7747.50i 1.07101 + 0.567816i 0.908070 0.418819i \(-0.137556\pi\)
0.162945 + 0.986635i \(0.447901\pi\)
\(572\) 18871.3 19922.1i 1.37945 1.45627i
\(573\) 8833.43 4459.05i 0.644017 0.325095i
\(574\) 5525.48 25102.5i 0.401793 1.82536i
\(575\) −12883.1 + 1401.12i −0.934367 + 0.101619i
\(576\) −16908.2 8660.20i −1.22311 0.626461i
\(577\) −3374.11 3972.31i −0.243442 0.286602i 0.626848 0.779141i \(-0.284345\pi\)
−0.870290 + 0.492539i \(0.836069\pi\)
\(578\) 21284.0 7171.41i 1.53166 0.516075i
\(579\) −9753.87 2919.61i −0.700098 0.209560i
\(580\) −13221.7 + 33184.1i −0.946557 + 2.37568i
\(581\) 14636.4 17231.3i 1.04513 1.23042i
\(582\) −19554.5 15492.1i −1.39272 1.10338i
\(583\) −3445.56 + 2336.14i −0.244769 + 0.165957i
\(584\) 179.276 71.4300i 0.0127029 0.00506129i
\(585\) 4698.30 + 19993.9i 0.332053 + 1.41307i
\(586\) −2632.42 + 24204.7i −0.185570 + 1.70629i
\(587\) −13524.1 + 6256.93i −0.950938 + 0.439951i −0.833125 0.553085i \(-0.813450\pi\)
−0.117813 + 0.993036i \(0.537588\pi\)
\(588\) 40210.1 63899.0i 2.82013 4.48155i
\(589\) 11303.1i 0.790724i
\(590\) −42210.0 15601.6i −2.94535 1.08865i
\(591\) 4990.33 8974.06i 0.347335 0.624608i
\(592\) 46458.3 + 2518.89i 3.22538 + 0.174875i
\(593\) −5077.24 10974.3i −0.351597 0.759965i 0.648402 0.761298i \(-0.275438\pi\)
−0.999999 + 0.00133350i \(0.999576\pi\)
\(594\) −1528.07 + 25419.6i −0.105551 + 1.75585i
\(595\) 14945.9 + 5035.86i 1.02978 + 0.346975i
\(596\) 13446.4 + 33747.8i 0.924136 + 2.31941i
\(597\) 1406.74 + 15886.9i 0.0964392 + 1.08913i
\(598\) −11786.8 1932.35i −0.806019 0.132140i
\(599\) −14553.2 12361.6i −0.992704 0.843210i −0.00506973 0.999987i \(-0.501614\pi\)
−0.987634 + 0.156777i \(0.949890\pi\)
\(600\) −57367.0 + 46784.2i −3.90333 + 3.18326i
\(601\) 386.412 + 1755.49i 0.0262264 + 0.119148i 0.987915 0.154996i \(-0.0495365\pi\)
−0.961689 + 0.274144i \(0.911606\pi\)
\(602\) 23048.4 + 68405.4i 1.56044 + 4.63122i
\(603\) −10236.9 3288.81i −0.691342 0.222108i
\(604\) 21633.6 + 35955.4i 1.45738 + 2.42219i
\(605\) 291.698 + 2682.12i 0.0196020 + 0.180237i
\(606\) 16692.4 + 14763.8i 1.11895 + 0.989669i
\(607\) 8477.38 12503.2i 0.566864 0.836062i −0.430934 0.902383i \(-0.641816\pi\)
0.997798 + 0.0663216i \(0.0211263\pi\)
\(608\) −16317.8 15457.1i −1.08845 1.03103i
\(609\) 8922.89 + 13744.7i 0.593717 + 0.914551i
\(610\) 30622.6 + 14167.5i 2.03258 + 0.940371i
\(611\) 5572.27 9261.18i 0.368952 0.613203i
\(612\) −8928.37 10215.0i −0.589719 0.674702i
\(613\) 8380.79 + 8847.49i 0.552197 + 0.582947i 0.941014 0.338368i \(-0.109875\pi\)
−0.388817 + 0.921315i \(0.627116\pi\)
\(614\) 92.9612 + 334.816i 0.00611011 + 0.0220066i
\(615\) 5846.16 + 13330.0i 0.383317 + 0.874013i
\(616\) 55706.8 42347.2i 3.64365 2.76983i
\(617\) −7873.49 2186.06i −0.513735 0.142638i 0.000979200 1.00000i \(-0.499688\pi\)
−0.514715 + 0.857362i \(0.672102\pi\)
\(618\) 35550.3 + 711.595i 2.31399 + 0.0463180i
\(619\) 1148.97 + 21191.6i 0.0746061 + 1.37603i 0.760978 + 0.648777i \(0.224719\pi\)
−0.686372 + 0.727251i \(0.740798\pi\)
\(620\) −3932.56 72531.8i −0.254735 4.69831i
\(621\) 6781.84 4026.41i 0.438238 0.260184i
\(622\) −24975.4 6934.39i −1.61001 0.447016i
\(623\) 8346.76 6345.04i 0.536767 0.408040i
\(624\) −32173.5 + 14110.4i −2.06405 + 0.905234i
\(625\) 2327.15 + 8381.64i 0.148938 + 0.536425i
\(626\) −37824.0 39930.3i −2.41494 2.54942i
\(627\) −3507.11 + 9758.78i −0.223382 + 0.621576i
\(628\) −7386.59 + 12276.6i −0.469358 + 0.780079i
\(629\) 6415.41 + 2968.08i 0.406676 + 0.188148i
\(630\) 6011.30 + 87872.4i 0.380153 + 5.55702i
\(631\) −12180.4 11537.9i −0.768454 0.727918i 0.199266 0.979945i \(-0.436144\pi\)
−0.967720 + 0.252027i \(0.918903\pi\)
\(632\) −3528.49 + 5204.14i −0.222082 + 0.327547i
\(633\) 7192.78 8132.38i 0.451639 0.510637i
\(634\) −1941.03 17847.5i −0.121590 1.11800i
\(635\) 18364.6 + 30522.2i 1.14768 + 1.90746i
\(636\) 12146.9 2419.93i 0.757320 0.150875i
\(637\) −9484.04 28147.6i −0.589908 1.75078i
\(638\) 3745.79 + 17017.3i 0.232441 + 1.05599i
\(639\) −3667.02 20544.2i −0.227019 1.27186i
\(640\) −8622.19 7323.75i −0.532534 0.452339i
\(641\) −7815.07 1281.22i −0.481555 0.0789469i −0.0838850 0.996475i \(-0.526733\pi\)
−0.397670 + 0.917529i \(0.630181\pi\)
\(642\) 24266.1 2148.69i 1.49175 0.132091i
\(643\) 4446.66 + 11160.3i 0.272720 + 0.684477i 0.999998 0.00186655i \(-0.000594141\pi\)
−0.727278 + 0.686343i \(0.759215\pi\)
\(644\) −34539.1 11637.6i −2.11340 0.712089i
\(645\) −33367.8 23612.3i −2.03698 1.44144i
\(646\) −3260.09 7046.57i −0.198555 0.429169i
\(647\) 26316.0 + 1426.81i 1.59905 + 0.0866982i 0.831960 0.554836i \(-0.187219\pi\)
0.767094 + 0.641535i \(0.221702\pi\)
\(648\) 19969.3 40385.3i 1.21060 2.44828i
\(649\) −15165.3 + 3739.75i −0.917243 + 0.226191i
\(650\) 48977.0i 2.95544i
\(651\) −28203.3 17747.6i −1.69796 1.06849i
\(652\) −21760.9 + 10067.7i −1.30709 + 0.604725i
\(653\) −551.274 + 5068.88i −0.0330368 + 0.303768i 0.965949 + 0.258734i \(0.0833052\pi\)
−0.998985 + 0.0450343i \(0.985660\pi\)
\(654\) −25673.5 + 23362.4i −1.53504 + 1.39685i
\(655\) −862.020 + 343.460i −0.0514228 + 0.0204887i
\(656\) −20607.7 + 13972.3i −1.22651 + 0.831598i
\(657\) 32.3111 + 77.8744i 0.00191868 + 0.00462431i
\(658\) 30006.7 35326.7i 1.77779 2.09297i
\(659\) −5241.92 + 13156.2i −0.309858 + 0.777684i 0.688753 + 0.724996i \(0.258158\pi\)
−0.998611 + 0.0526882i \(0.983221\pi\)
\(660\) −19109.8 + 63842.1i −1.12704 + 3.76523i
\(661\) 23153.7 7801.38i 1.36244 0.459060i 0.459253 0.888305i \(-0.348117\pi\)
0.903188 + 0.429245i \(0.141220\pi\)
\(662\) −39677.6 46712.1i −2.32948 2.74247i
\(663\) −5334.41 + 182.249i −0.312476 + 0.0106757i
\(664\) −42281.6 + 4598.40i −2.47115 + 0.268754i
\(665\) −7710.20 + 35027.8i −0.449607 + 2.04259i
\(666\) −1579.72 + 39444.6i −0.0919113 + 2.29496i
\(667\) 3711.30 3917.97i 0.215445 0.227443i
\(668\) −11373.3 6029.74i −0.658752 0.349248i
\(669\) −19520.1 26774.0i −1.12809 1.54730i
\(670\) −33883.5 20387.0i −1.95378 1.17555i
\(671\) 11557.1 1894.69i 0.664912 0.109007i
\(672\) −64189.6 + 16445.9i −3.68477 + 0.944069i
\(673\) −11606.8 + 3222.61i −0.664797 + 0.184580i −0.583504 0.812110i \(-0.698319\pi\)
−0.0812932 + 0.996690i \(0.525905\pi\)
\(674\) 4651.66 6119.15i 0.265839 0.349705i
\(675\) −20791.7 24771.5i −1.18559 1.41253i
\(676\) 3006.20 10827.4i 0.171040 0.616031i
\(677\) 13817.9 7325.81i 0.784441 0.415884i −0.0275014 0.999622i \(-0.508755\pi\)
0.811942 + 0.583737i \(0.198410\pi\)
\(678\) −744.628 + 1528.45i −0.0421789 + 0.0865781i
\(679\) −29905.8 + 1621.44i −1.69025 + 0.0916425i
\(680\) −13897.4 26213.2i −0.783735 1.47828i
\(681\) −13142.6 + 13329.7i −0.739539 + 0.750069i
\(682\) −21443.0 28207.8i −1.20395 1.58377i
\(683\) −14100.6 10719.0i −0.789961 0.600513i 0.130454 0.991454i \(-0.458356\pi\)
−0.920416 + 0.390941i \(0.872150\pi\)
\(684\) 20898.8 22696.8i 1.16825 1.26877i
\(685\) −2462.29 + 2332.41i −0.137342 + 0.130097i
\(686\) −11006.7 67137.9i −0.612591 3.73664i
\(687\) 16345.1 9394.23i 0.907723 0.521706i
\(688\) 29359.3 63459.1i 1.62691 3.51650i
\(689\) 2282.44 4305.14i 0.126203 0.238044i
\(690\) 27667.9 8709.84i 1.52652 0.480548i
\(691\) −2492.81 1690.17i −0.137237 0.0930492i 0.490637 0.871364i \(-0.336764\pi\)
−0.627874 + 0.778315i \(0.716075\pi\)
\(692\) 54796.5 + 12061.6i 3.01019 + 0.662592i
\(693\) 18843.2 + 24073.7i 1.03289 + 1.31960i
\(694\) 45559.7 27412.4i 2.49196 1.49936i
\(695\) 19988.4 16978.3i 1.09094 0.926652i
\(696\) 5595.09 30315.2i 0.304715 1.65100i
\(697\) −3694.27 + 813.170i −0.200761 + 0.0441908i
\(698\) 8365.28 + 3333.03i 0.453625 + 0.180741i
\(699\) −51.7824 + 19.4404i −0.00280199 + 0.00105194i
\(700\) −24178.4 + 147482.i −1.30551 + 7.96328i
\(701\) 3659.65 + 5397.58i 0.197180 + 0.290819i 0.913406 0.407050i \(-0.133442\pi\)
−0.716226 + 0.697868i \(0.754132\pi\)
\(702\) −12356.9 27126.1i −0.664360 1.45842i
\(703\) −5132.83 + 15233.7i −0.275375 + 0.817283i
\(704\) −24108.0 2621.90i −1.29063 0.140365i
\(705\) −1945.27 + 26175.8i −0.103919 + 1.39835i
\(706\) −2416.41 + 44568.1i −0.128814 + 2.37584i
\(707\) 26752.8 1.42312
\(708\) 45898.0 + 7284.43i 2.43637 + 0.386674i
\(709\) −11003.4 −0.582853 −0.291427 0.956593i \(-0.594130\pi\)
−0.291427 + 0.956593i \(0.594130\pi\)
\(710\) 4155.18 76637.8i 0.219635 4.05094i
\(711\) −2295.19 1509.26i −0.121064 0.0796085i
\(712\) −19608.1 2132.51i −1.03209 0.112246i
\(713\) −3504.04 + 10399.6i −0.184050 + 0.546240i
\(714\) −22701.3 2929.69i −1.18988 0.153559i
\(715\) 14713.1 + 21700.2i 0.769566 + 1.13503i
\(716\) −14777.8 + 90140.6i −0.771330 + 4.70490i
\(717\) −2586.08 6888.40i −0.134699 0.358790i
\(718\) 29823.5 + 11882.8i 1.55015 + 0.617634i
\(719\) 27663.7 6089.25i 1.43489 0.315842i 0.571589 0.820540i \(-0.306327\pi\)
0.863296 + 0.504698i \(0.168396\pi\)
\(720\) 54308.4 65799.9i 2.81105 3.40586i
\(721\) 32534.3 27634.9i 1.68050 1.42743i
\(722\) −15822.3 + 9519.97i −0.815575 + 0.490715i
\(723\) 2249.60 + 948.919i 0.115717 + 0.0488114i
\(724\) 36944.1 + 8132.00i 1.89643 + 0.417436i
\(725\) −18316.0 12418.5i −0.938260 0.636156i
\(726\) −1175.74 3734.89i −0.0601045 0.190929i
\(727\) 4650.19 8771.19i 0.237230 0.447463i −0.736100 0.676873i \(-0.763335\pi\)
0.973330 + 0.229410i \(0.0736796\pi\)
\(728\) −34392.3 + 74337.8i −1.75091 + 3.78453i
\(729\) 17765.4 + 8474.04i 0.902578 + 0.430526i
\(730\) 50.1646 + 305.991i 0.00254339 + 0.0155140i
\(731\) 7712.34 7305.51i 0.390220 0.369636i
\(732\) −33873.0 8170.03i −1.71036 0.412531i
\(733\) 16318.6 + 12405.1i 0.822296 + 0.625093i 0.929366 0.369158i \(-0.120354\pi\)
−0.107071 + 0.994251i \(0.534147\pi\)
\(734\) 19141.6 + 25180.3i 0.962572 + 1.26624i
\(735\) 51364.6 + 50643.5i 2.57770 + 2.54151i
\(736\) 10221.7 + 19280.2i 0.511925 + 0.965593i
\(737\) −13705.3 + 743.082i −0.684997 + 0.0371395i
\(738\) −12101.1 17315.6i −0.603586 0.863679i
\(739\) 16255.4 8618.05i 0.809152 0.428985i −0.0118364 0.999930i \(-0.503768\pi\)
0.820989 + 0.570945i \(0.193423\pi\)
\(740\) −27637.2 + 99540.2i −1.37292 + 4.94482i
\(741\) −1723.63 12015.2i −0.0854511 0.595667i
\(742\) 12646.0 16635.5i 0.625671 0.823057i
\(743\) 26775.1 7434.07i 1.32205 0.367065i 0.466379 0.884585i \(-0.345558\pi\)
0.855671 + 0.517520i \(0.173145\pi\)
\(744\) 15558.3 + 60725.3i 0.766661 + 2.99234i
\(745\) −34251.3 + 5615.22i −1.68439 + 0.276142i
\(746\) −38425.7 23120.0i −1.88588 1.13469i
\(747\) −2269.93 18442.1i −0.111181 0.903293i
\(748\) −15301.1 8112.15i −0.747948 0.396537i
\(749\) 20112.1 21232.1i 0.981148 1.03579i
\(750\) −24534.4 48602.8i −1.19449 2.36630i
\(751\) −136.598 + 620.571i −0.00663719 + 0.0301531i −0.979823 0.199868i \(-0.935949\pi\)
0.973186 + 0.230021i \(0.0738796\pi\)
\(752\) −44634.6 + 4854.31i −2.16444 + 0.235397i
\(753\) 699.969 + 20488.0i 0.0338755 + 0.991533i
\(754\) −13204.1 15545.1i −0.637754 0.750822i
\(755\) −37992.7 + 12801.2i −1.83139 + 0.617066i
\(756\) −23818.3 87783.8i −1.14585 4.22310i
\(757\) −12952.3 + 32507.9i −0.621877 + 1.56079i 0.193025 + 0.981194i \(0.438170\pi\)
−0.814901 + 0.579599i \(0.803209\pi\)
\(758\) −7557.10 + 8896.91i −0.362119 + 0.426320i
\(759\) 6252.06 7891.51i 0.298993 0.377396i
\(760\) 55845.6 37864.3i 2.66544 1.80721i
\(761\) 10778.3 4294.47i 0.513420 0.204565i −0.0990151 0.995086i \(-0.531569\pi\)
0.612436 + 0.790521i \(0.290190\pi\)
\(762\) −34794.3 38236.4i −1.65415 1.81779i
\(763\) −4505.53 + 41427.7i −0.213776 + 1.96564i
\(764\) −34108.0 + 15780.0i −1.61516 + 0.747253i
\(765\) 11365.3 6232.89i 0.537139 0.294576i
\(766\) 14130.7i 0.666530i
\(767\) 13633.2 12182.5i 0.641805 0.573513i
\(768\) −11212.3 6234.98i −0.526808 0.292950i
\(769\) −9283.66 503.345i −0.435341 0.0236035i −0.164834 0.986321i \(-0.552709\pi\)
−0.270507 + 0.962718i \(0.587191\pi\)
\(770\) 47209.5 + 102042.i 2.20950 + 4.77575i
\(771\) −17179.1 + 24276.7i −0.802452 + 1.13399i
\(772\) 36644.8 + 12347.1i 1.70839 + 0.575624i
\(773\) −7408.07 18592.8i −0.344695 0.865120i −0.994473 0.104996i \(-0.966517\pi\)