Properties

Label 63.4.o.a.20.12
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 20.12
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0847887 - 0.0489528i) q^{2} +(5.17293 + 0.490712i) q^{3} +(-3.99521 - 6.91990i) q^{4} +(-9.06347 - 15.6984i) q^{5} +(-0.414584 - 0.294836i) q^{6} +(-18.0075 - 4.32762i) q^{7} +1.56555i q^{8} +(26.5184 + 5.07683i) q^{9} +O(q^{10})\) \(q+(-0.0847887 - 0.0489528i) q^{2} +(5.17293 + 0.490712i) q^{3} +(-3.99521 - 6.91990i) q^{4} +(-9.06347 - 15.6984i) q^{5} +(-0.414584 - 0.294836i) q^{6} +(-18.0075 - 4.32762i) q^{7} +1.56555i q^{8} +(26.5184 + 5.07683i) q^{9} +1.77473i q^{10} +(32.0537 + 18.5062i) q^{11} +(-17.2713 - 37.7567i) q^{12} +(16.3673 - 9.44964i) q^{13} +(1.31499 + 1.24845i) q^{14} +(-39.1813 - 85.6542i) q^{15} +(-31.8850 + 55.2265i) q^{16} +62.5187 q^{17} +(-1.99994 - 1.72861i) q^{18} -70.2680i q^{19} +(-72.4209 + 125.437i) q^{20} +(-91.0282 - 31.2230i) q^{21} +(-1.81186 - 3.13823i) q^{22} +(140.692 - 81.2288i) q^{23} +(-0.768234 + 8.09848i) q^{24} +(-101.793 + 176.311i) q^{25} -1.85034 q^{26} +(134.687 + 39.2750i) q^{27} +(41.9972 + 141.900i) q^{28} +(82.5015 + 47.6323i) q^{29} +(-0.870879 + 9.18054i) q^{30} +(-110.611 + 63.8612i) q^{31} +(16.2534 - 9.38392i) q^{32} +(156.730 + 111.460i) q^{33} +(-5.30088 - 3.06046i) q^{34} +(95.2742 + 321.913i) q^{35} +(-70.8153 - 203.788i) q^{36} -378.832 q^{37} +(-3.43981 + 5.95793i) q^{38} +(89.3037 - 40.8507i) q^{39} +(24.5766 - 14.1893i) q^{40} +(-99.1937 - 171.809i) q^{41} +(6.18971 + 7.10344i) q^{42} +(160.692 - 278.327i) q^{43} -295.744i q^{44} +(-160.651 - 462.310i) q^{45} -15.9055 q^{46} +(-79.3885 + 137.505i) q^{47} +(-192.039 + 270.036i) q^{48} +(305.543 + 155.860i) q^{49} +(17.2618 - 9.96610i) q^{50} +(323.405 + 30.6786i) q^{51} +(-130.781 - 75.5066i) q^{52} +191.780i q^{53} +(-9.49728 - 9.92336i) q^{54} -670.922i q^{55} +(6.77511 - 28.1917i) q^{56} +(34.4813 - 363.491i) q^{57} +(-4.66346 - 8.07736i) q^{58} +(106.918 + 185.187i) q^{59} +(-436.181 + 613.337i) q^{60} +(190.929 + 110.233i) q^{61} +12.5047 q^{62} +(-455.561 - 206.183i) q^{63} +508.323 q^{64} +(-296.688 - 171.293i) q^{65} +(-7.83266 - 17.1230i) q^{66} +(68.2947 + 118.290i) q^{67} +(-249.775 - 432.623i) q^{68} +(767.652 - 351.151i) q^{69} +(7.68035 - 31.9585i) q^{70} -458.924i q^{71} +(-7.94804 + 41.5159i) q^{72} +967.869i q^{73} +(32.1207 + 18.5449i) q^{74} +(-613.086 + 862.091i) q^{75} +(-486.248 + 280.735i) q^{76} +(-497.120 - 471.968i) q^{77} +(-9.57170 - 0.907986i) q^{78} +(298.318 - 516.702i) q^{79} +1155.96 q^{80} +(677.452 + 269.259i) q^{81} +19.4232i q^{82} +(-180.715 + 313.007i) q^{83} +(147.616 + 754.648i) q^{84} +(-566.636 - 981.443i) q^{85} +(-27.2498 + 15.7327i) q^{86} +(403.401 + 286.883i) q^{87} +(-28.9724 + 50.1817i) q^{88} -35.4987 q^{89} +(-9.01000 + 47.0630i) q^{90} +(-335.629 + 99.3336i) q^{91} +(-1124.19 - 649.052i) q^{92} +(-603.519 + 276.071i) q^{93} +(13.4625 - 7.77258i) q^{94} +(-1103.09 + 636.872i) q^{95} +(88.6826 - 40.5666i) q^{96} +(1151.63 + 664.894i) q^{97} +(-18.2769 - 28.1723i) q^{98} +(756.060 + 653.486i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0847887 0.0489528i −0.0299773 0.0173074i 0.484936 0.874549i \(-0.338843\pi\)
−0.514914 + 0.857242i \(0.672176\pi\)
\(3\) 5.17293 + 0.490712i 0.995531 + 0.0944375i
\(4\) −3.99521 6.91990i −0.499401 0.864988i
\(5\) −9.06347 15.6984i −0.810661 1.40411i −0.912402 0.409296i \(-0.865774\pi\)
0.101740 0.994811i \(-0.467559\pi\)
\(6\) −0.414584 0.294836i −0.0282089 0.0200611i
\(7\) −18.0075 4.32762i −0.972316 0.233670i
\(8\) 1.56555i 0.0691882i
\(9\) 26.5184 + 5.07683i 0.982163 + 0.188031i
\(10\) 1.77473i 0.0561218i
\(11\) 32.0537 + 18.5062i 0.878595 + 0.507257i 0.870195 0.492707i \(-0.163993\pi\)
0.00840042 + 0.999965i \(0.497326\pi\)
\(12\) −17.2713 37.7567i −0.415482 0.908284i
\(13\) 16.3673 9.44964i 0.349189 0.201605i −0.315139 0.949046i \(-0.602051\pi\)
0.664328 + 0.747441i \(0.268718\pi\)
\(14\) 1.31499 + 1.24845i 0.0251032 + 0.0238331i
\(15\) −39.1813 85.6542i −0.674438 1.47439i
\(16\) −31.8850 + 55.2265i −0.498203 + 0.862914i
\(17\) 62.5187 0.891941 0.445971 0.895048i \(-0.352859\pi\)
0.445971 + 0.895048i \(0.352859\pi\)
\(18\) −1.99994 1.72861i −0.0261883 0.0226354i
\(19\) 70.2680i 0.848452i −0.905556 0.424226i \(-0.860546\pi\)
0.905556 0.424226i \(-0.139454\pi\)
\(20\) −72.4209 + 125.437i −0.809690 + 1.40242i
\(21\) −91.0282 31.2230i −0.945903 0.324448i
\(22\) −1.81186 3.13823i −0.0175586 0.0304124i
\(23\) 140.692 81.2288i 1.27550 0.736408i 0.299479 0.954103i \(-0.403187\pi\)
0.976017 + 0.217695i \(0.0698539\pi\)
\(24\) −0.768234 + 8.09848i −0.00653396 + 0.0688790i
\(25\) −101.793 + 176.311i −0.814344 + 1.41048i
\(26\) −1.85034 −0.0139570
\(27\) 134.687 + 39.2750i 0.960016 + 0.279944i
\(28\) 41.9972 + 141.900i 0.283454 + 0.957736i
\(29\) 82.5015 + 47.6323i 0.528281 + 0.305003i 0.740316 0.672259i \(-0.234676\pi\)
−0.212035 + 0.977262i \(0.568009\pi\)
\(30\) −0.870879 + 9.18054i −0.00530000 + 0.0558710i
\(31\) −110.611 + 63.8612i −0.640848 + 0.369994i −0.784941 0.619570i \(-0.787307\pi\)
0.144093 + 0.989564i \(0.453973\pi\)
\(32\) 16.2534 9.38392i 0.0897883 0.0518393i
\(33\) 156.730 + 111.460i 0.826765 + 0.587963i
\(34\) −5.30088 3.06046i −0.0267380 0.0154372i
\(35\) 95.2742 + 321.913i 0.460122 + 1.55466i
\(36\) −70.8153 203.788i −0.327849 0.943462i
\(37\) −378.832 −1.68323 −0.841617 0.540075i \(-0.818396\pi\)
−0.841617 + 0.540075i \(0.818396\pi\)
\(38\) −3.43981 + 5.95793i −0.0146845 + 0.0254343i
\(39\) 89.3037 40.8507i 0.366668 0.167727i
\(40\) 24.5766 14.1893i 0.0971476 0.0560882i
\(41\) −99.1937 171.809i −0.377840 0.654439i 0.612907 0.790155i \(-0.290000\pi\)
−0.990748 + 0.135716i \(0.956667\pi\)
\(42\) 6.18971 + 7.10344i 0.0227403 + 0.0260972i
\(43\) 160.692 278.327i 0.569892 0.987081i −0.426685 0.904401i \(-0.640319\pi\)
0.996576 0.0826806i \(-0.0263481\pi\)
\(44\) 295.744i 1.01330i
\(45\) −160.651 462.310i −0.532186 1.53149i
\(46\) −15.9055 −0.0509813
\(47\) −79.3885 + 137.505i −0.246383 + 0.426748i −0.962520 0.271212i \(-0.912575\pi\)
0.716136 + 0.697960i \(0.245909\pi\)
\(48\) −192.039 + 270.036i −0.577468 + 0.812008i
\(49\) 305.543 + 155.860i 0.890797 + 0.454401i
\(50\) 17.2618 9.96610i 0.0488237 0.0281884i
\(51\) 323.405 + 30.6786i 0.887955 + 0.0842327i
\(52\) −130.781 75.5066i −0.348771 0.201363i
\(53\) 191.780i 0.497039i 0.968627 + 0.248519i \(0.0799440\pi\)
−0.968627 + 0.248519i \(0.920056\pi\)
\(54\) −9.49728 9.92336i −0.0239336 0.0250074i
\(55\) 670.922i 1.64486i
\(56\) 6.77511 28.1917i 0.0161672 0.0672728i
\(57\) 34.4813 363.491i 0.0801257 0.844660i
\(58\) −4.66346 8.07736i −0.0105576 0.0182864i
\(59\) 106.918 + 185.187i 0.235924 + 0.408632i 0.959541 0.281570i \(-0.0908551\pi\)
−0.723617 + 0.690202i \(0.757522\pi\)
\(60\) −436.181 + 613.337i −0.938513 + 1.31969i
\(61\) 190.929 + 110.233i 0.400754 + 0.231375i 0.686809 0.726838i \(-0.259011\pi\)
−0.286055 + 0.958213i \(0.592344\pi\)
\(62\) 12.5047 0.0256145
\(63\) −455.561 206.183i −0.911036 0.412327i
\(64\) 508.323 0.992818
\(65\) −296.688 171.293i −0.566149 0.326866i
\(66\) −7.83266 17.1230i −0.0146081 0.0319347i
\(67\) 68.2947 + 118.290i 0.124530 + 0.215693i 0.921549 0.388262i \(-0.126924\pi\)
−0.797019 + 0.603954i \(0.793591\pi\)
\(68\) −249.775 432.623i −0.445436 0.771518i
\(69\) 767.652 351.151i 1.33934 0.612662i
\(70\) 7.68035 31.9585i 0.0131140 0.0545681i
\(71\) 458.924i 0.767102i −0.923520 0.383551i \(-0.874701\pi\)
0.923520 0.383551i \(-0.125299\pi\)
\(72\) −7.94804 + 41.5159i −0.0130095 + 0.0679541i
\(73\) 967.869i 1.55179i 0.630863 + 0.775894i \(0.282701\pi\)
−0.630863 + 0.775894i \(0.717299\pi\)
\(74\) 32.1207 + 18.5449i 0.0504588 + 0.0291324i
\(75\) −613.086 + 862.091i −0.943907 + 1.32728i
\(76\) −486.248 + 280.735i −0.733900 + 0.423718i
\(77\) −497.120 471.968i −0.735742 0.698516i
\(78\) −9.57170 0.907986i −0.0138946 0.00131807i
\(79\) 298.318 516.702i 0.424853 0.735868i −0.571553 0.820565i \(-0.693659\pi\)
0.996407 + 0.0846971i \(0.0269923\pi\)
\(80\) 1155.96 1.61550
\(81\) 677.452 + 269.259i 0.929289 + 0.369354i
\(82\) 19.4232i 0.0261578i
\(83\) −180.715 + 313.007i −0.238988 + 0.413940i −0.960424 0.278541i \(-0.910149\pi\)
0.721436 + 0.692481i \(0.243482\pi\)
\(84\) 147.616 + 754.648i 0.191741 + 0.980225i
\(85\) −566.636 981.443i −0.723063 1.25238i
\(86\) −27.2498 + 15.7327i −0.0341676 + 0.0197267i
\(87\) 403.401 + 286.883i 0.497116 + 0.353530i
\(88\) −28.9724 + 50.1817i −0.0350962 + 0.0607884i
\(89\) −35.4987 −0.0422792 −0.0211396 0.999777i \(-0.506729\pi\)
−0.0211396 + 0.999777i \(0.506729\pi\)
\(90\) −9.01000 + 47.0630i −0.0105526 + 0.0551208i
\(91\) −335.629 + 99.3336i −0.386631 + 0.114428i
\(92\) −1124.19 649.052i −1.27397 0.735525i
\(93\) −603.519 + 276.071i −0.672925 + 0.307820i
\(94\) 13.4625 7.77258i 0.0147718 0.00852851i
\(95\) −1103.09 + 636.872i −1.19132 + 0.687807i
\(96\) 88.6826 40.5666i 0.0942826 0.0431283i
\(97\) 1151.63 + 664.894i 1.20547 + 0.695977i 0.961766 0.273874i \(-0.0883051\pi\)
0.243701 + 0.969850i \(0.421638\pi\)
\(98\) −18.2769 28.1723i −0.0188392 0.0290391i
\(99\) 756.060 + 653.486i 0.767544 + 0.663413i
\(100\) 1626.74 1.62674
\(101\) −457.491 + 792.398i −0.450714 + 0.780659i −0.998430 0.0560049i \(-0.982164\pi\)
0.547717 + 0.836664i \(0.315497\pi\)
\(102\) −25.9193 18.4328i −0.0251607 0.0178933i
\(103\) 721.873 416.774i 0.690566 0.398698i −0.113258 0.993566i \(-0.536129\pi\)
0.803824 + 0.594867i \(0.202795\pi\)
\(104\) 14.7939 + 25.6238i 0.0139487 + 0.0241598i
\(105\) 334.880 + 1711.98i 0.311247 + 1.59117i
\(106\) 9.38818 16.2608i 0.00860246 0.0148999i
\(107\) 1686.33i 1.52358i 0.647822 + 0.761792i \(0.275680\pi\)
−0.647822 + 0.761792i \(0.724320\pi\)
\(108\) −266.322 1088.93i −0.237285 0.970207i
\(109\) 641.258 0.563499 0.281750 0.959488i \(-0.409085\pi\)
0.281750 + 0.959488i \(0.409085\pi\)
\(110\) −32.8435 + 56.8866i −0.0284682 + 0.0493084i
\(111\) −1959.67 185.897i −1.67571 0.158960i
\(112\) 813.170 856.507i 0.686048 0.722610i
\(113\) 1245.30 718.974i 1.03671 0.598543i 0.117809 0.993036i \(-0.462413\pi\)
0.918899 + 0.394493i \(0.129080\pi\)
\(114\) −20.7175 + 29.1320i −0.0170208 + 0.0239339i
\(115\) −2550.32 1472.43i −2.06799 1.19395i
\(116\) 761.203i 0.609275i
\(117\) 482.008 167.496i 0.380869 0.132350i
\(118\) 20.9357i 0.0163329i
\(119\) −1125.81 270.557i −0.867249 0.208420i
\(120\) 134.096 61.3403i 0.102010 0.0466632i
\(121\) 19.4592 + 33.7044i 0.0146200 + 0.0253226i
\(122\) −10.7924 18.6930i −0.00800902 0.0138720i
\(123\) −428.814 937.429i −0.314348 0.687196i
\(124\) 883.826 + 510.277i 0.640080 + 0.369550i
\(125\) 1424.52 1.01931
\(126\) 28.5332 + 39.7829i 0.0201741 + 0.0281281i
\(127\) −1845.03 −1.28914 −0.644568 0.764547i \(-0.722963\pi\)
−0.644568 + 0.764547i \(0.722963\pi\)
\(128\) −173.127 99.9552i −0.119550 0.0690224i
\(129\) 967.828 1360.91i 0.660562 0.928850i
\(130\) 16.7705 + 29.0474i 0.0113144 + 0.0195971i
\(131\) −1099.22 1903.91i −0.733125 1.26981i −0.955541 0.294858i \(-0.904728\pi\)
0.222416 0.974952i \(-0.428606\pi\)
\(132\) 145.125 1529.87i 0.0956934 1.00877i
\(133\) −304.093 + 1265.35i −0.198257 + 0.824963i
\(134\) 13.3729i 0.00862119i
\(135\) −604.174 2470.33i −0.385178 1.57491i
\(136\) 97.8761i 0.0617118i
\(137\) 1869.64 + 1079.44i 1.16594 + 0.673156i 0.952720 0.303848i \(-0.0982716\pi\)
0.213220 + 0.977004i \(0.431605\pi\)
\(138\) −82.2780 7.80501i −0.0507534 0.00481454i
\(139\) −2521.54 + 1455.81i −1.53866 + 0.888348i −0.539746 + 0.841828i \(0.681480\pi\)
−0.998917 + 0.0465196i \(0.985187\pi\)
\(140\) 1846.96 1945.40i 1.11498 1.17440i
\(141\) −478.147 + 672.347i −0.285583 + 0.401573i
\(142\) −22.4656 + 38.9115i −0.0132766 + 0.0229957i
\(143\) 699.508 0.409062
\(144\) −1125.92 + 1302.64i −0.651571 + 0.753844i
\(145\) 1726.85i 0.989017i
\(146\) 47.3799 82.0644i 0.0268574 0.0465185i
\(147\) 1504.07 + 956.185i 0.843903 + 0.536495i
\(148\) 1513.51 + 2621.48i 0.840608 + 1.45598i
\(149\) −230.641 + 133.161i −0.126811 + 0.0732144i −0.562064 0.827094i \(-0.689992\pi\)
0.435253 + 0.900308i \(0.356659\pi\)
\(150\) 94.1845 43.0834i 0.0512675 0.0234516i
\(151\) 467.757 810.180i 0.252090 0.436632i −0.712011 0.702168i \(-0.752215\pi\)
0.964101 + 0.265536i \(0.0855488\pi\)
\(152\) 110.008 0.0587029
\(153\) 1657.90 + 317.397i 0.876032 + 0.167713i
\(154\) 19.0461 + 64.3529i 0.00996607 + 0.0336734i
\(155\) 2005.04 + 1157.61i 1.03902 + 0.599879i
\(156\) −639.470 454.766i −0.328196 0.233400i
\(157\) −872.747 + 503.881i −0.443648 + 0.256141i −0.705144 0.709064i \(-0.749118\pi\)
0.261496 + 0.965205i \(0.415784\pi\)
\(158\) −50.5880 + 29.2070i −0.0254719 + 0.0147062i
\(159\) −94.1088 + 992.066i −0.0469391 + 0.494817i
\(160\) −294.625 170.102i −0.145576 0.0840483i
\(161\) −2885.05 + 853.868i −1.41226 + 0.417976i
\(162\) −44.2592 55.9932i −0.0214650 0.0271558i
\(163\) −1801.27 −0.865561 −0.432780 0.901499i \(-0.642467\pi\)
−0.432780 + 0.901499i \(0.642467\pi\)
\(164\) −792.599 + 1372.82i −0.377388 + 0.653655i
\(165\) 329.229 3470.63i 0.155336 1.63750i
\(166\) 30.6451 17.6930i 0.0143285 0.00827254i
\(167\) 817.899 + 1416.64i 0.378987 + 0.656425i 0.990915 0.134488i \(-0.0429390\pi\)
−0.611928 + 0.790914i \(0.709606\pi\)
\(168\) 48.8812 142.509i 0.0224480 0.0654453i
\(169\) −919.908 + 1593.33i −0.418711 + 0.725229i
\(170\) 110.954i 0.0500574i
\(171\) 356.739 1863.40i 0.159535 0.833318i
\(172\) −2568.00 −1.13842
\(173\) 399.759 692.402i 0.175683 0.304291i −0.764715 0.644369i \(-0.777120\pi\)
0.940397 + 0.340078i \(0.110453\pi\)
\(174\) −20.1601 44.0720i −0.00878353 0.0192017i
\(175\) 2596.05 2734.40i 1.12139 1.18115i
\(176\) −2044.06 + 1180.14i −0.875439 + 0.505435i
\(177\) 462.205 + 1010.42i 0.196279 + 0.429086i
\(178\) 3.00989 + 1.73776i 0.00126742 + 0.000731745i
\(179\) 2940.19i 1.22771i −0.789418 0.613856i \(-0.789618\pi\)
0.789418 0.613856i \(-0.210382\pi\)
\(180\) −2557.31 + 2958.71i −1.05895 + 1.22516i
\(181\) 376.924i 0.154788i 0.997001 + 0.0773938i \(0.0246599\pi\)
−0.997001 + 0.0773938i \(0.975340\pi\)
\(182\) 33.3202 + 8.00759i 0.0135706 + 0.00326133i
\(183\) 933.571 + 663.919i 0.377112 + 0.268188i
\(184\) 127.168 + 220.261i 0.0509507 + 0.0882492i
\(185\) 3433.53 + 5947.06i 1.36453 + 2.36344i
\(186\) 64.6861 + 6.13621i 0.0255001 + 0.00241897i
\(187\) 2003.95 + 1156.98i 0.783656 + 0.452444i
\(188\) 1268.69 0.492176
\(189\) −2255.41 1290.12i −0.868025 0.496520i
\(190\) 124.707 0.0476167
\(191\) 1586.09 + 915.732i 0.600868 + 0.346911i 0.769383 0.638788i \(-0.220564\pi\)
−0.168515 + 0.985699i \(0.553897\pi\)
\(192\) 2629.52 + 249.440i 0.988381 + 0.0937592i
\(193\) 190.008 + 329.104i 0.0708657 + 0.122743i 0.899281 0.437371i \(-0.144090\pi\)
−0.828415 + 0.560114i \(0.810757\pi\)
\(194\) −65.0968 112.751i −0.0240911 0.0417270i
\(195\) −1450.69 1031.68i −0.532750 0.378871i
\(196\) −142.175 2737.02i −0.0518132 0.997457i
\(197\) 3579.56i 1.29458i 0.762243 + 0.647291i \(0.224098\pi\)
−0.762243 + 0.647291i \(0.775902\pi\)
\(198\) −32.1153 92.4195i −0.0115270 0.0331715i
\(199\) 881.304i 0.313939i 0.987603 + 0.156970i \(0.0501725\pi\)
−0.987603 + 0.156970i \(0.949827\pi\)
\(200\) −276.023 159.362i −0.0975889 0.0563430i
\(201\) 295.237 + 645.418i 0.103604 + 0.226489i
\(202\) 77.5802 44.7909i 0.0270224 0.0156014i
\(203\) −1279.52 1214.78i −0.442386 0.420003i
\(204\) −1079.78 2360.50i −0.370585 0.810136i
\(205\) −1798.08 + 3114.36i −0.612601 + 1.06106i
\(206\) −81.6089 −0.0276018
\(207\) 4143.32 1439.79i 1.39121 0.483440i
\(208\) 1205.21i 0.401760i
\(209\) 1300.39 2252.35i 0.430383 0.745446i
\(210\) 55.4123 161.550i 0.0182086 0.0530858i
\(211\) −418.581 725.004i −0.136570 0.236547i 0.789626 0.613588i \(-0.210275\pi\)
−0.926196 + 0.377042i \(0.876941\pi\)
\(212\) 1327.10 766.202i 0.429932 0.248222i
\(213\) 225.199 2373.98i 0.0724432 0.763674i
\(214\) 82.5504 142.981i 0.0263693 0.0456730i
\(215\) −5825.72 −1.84796
\(216\) −61.4870 + 210.859i −0.0193688 + 0.0664218i
\(217\) 2268.20 671.301i 0.709563 0.210004i
\(218\) −54.3715 31.3914i −0.0168922 0.00975272i
\(219\) −474.945 + 5006.72i −0.146547 + 1.54485i
\(220\) −4642.71 + 2680.47i −1.42278 + 0.821442i
\(221\) 1023.26 590.779i 0.311456 0.179819i
\(222\) 157.058 + 111.693i 0.0474821 + 0.0337674i
\(223\) −981.825 566.857i −0.294834 0.170222i 0.345286 0.938497i \(-0.387782\pi\)
−0.640120 + 0.768275i \(0.721115\pi\)
\(224\) −333.294 + 98.6427i −0.0994159 + 0.0294234i
\(225\) −3594.49 + 4158.69i −1.06503 + 1.23220i
\(226\) −140.783 −0.0414370
\(227\) 1752.96 3036.21i 0.512545 0.887754i −0.487349 0.873207i \(-0.662036\pi\)
0.999894 0.0145471i \(-0.00463065\pi\)
\(228\) −2653.09 + 1213.62i −0.770635 + 0.352516i
\(229\) 2721.44 1571.23i 0.785319 0.453404i −0.0529930 0.998595i \(-0.516876\pi\)
0.838312 + 0.545191i \(0.183543\pi\)
\(230\) 144.159 + 249.691i 0.0413285 + 0.0715831i
\(231\) −2339.97 2685.40i −0.666488 0.764875i
\(232\) −74.5707 + 129.160i −0.0211026 + 0.0365508i
\(233\) 6882.00i 1.93500i −0.252872 0.967500i \(-0.581375\pi\)
0.252872 0.967500i \(-0.418625\pi\)
\(234\) −49.0682 9.39389i −0.0137081 0.00262435i
\(235\) 2878.14 0.798933
\(236\) 854.317 1479.72i 0.235641 0.408142i
\(237\) 1796.73 2526.48i 0.492448 0.692457i
\(238\) 82.2112 + 78.0516i 0.0223906 + 0.0212577i
\(239\) −1036.14 + 598.217i −0.280429 + 0.161906i −0.633617 0.773646i \(-0.718431\pi\)
0.353189 + 0.935552i \(0.385097\pi\)
\(240\) 5979.68 + 567.241i 1.60828 + 0.152563i
\(241\) −3790.59 2188.50i −1.01317 0.584953i −0.101051 0.994881i \(-0.532220\pi\)
−0.912118 + 0.409928i \(0.865554\pi\)
\(242\) 3.81033i 0.00101214i
\(243\) 3372.28 + 1725.29i 0.890255 + 0.455463i
\(244\) 1761.62i 0.462196i
\(245\) −322.537 6209.17i −0.0841067 1.61914i
\(246\) −9.53120 + 100.475i −0.00247027 + 0.0260409i
\(247\) −664.008 1150.09i −0.171052 0.296270i
\(248\) −99.9779 173.167i −0.0255992 0.0443391i
\(249\) −1088.42 + 1530.49i −0.277012 + 0.389520i
\(250\) −120.783 69.7344i −0.0305561 0.0176416i
\(251\) −5787.19 −1.45532 −0.727658 0.685940i \(-0.759391\pi\)
−0.727658 + 0.685940i \(0.759391\pi\)
\(252\) 393.294 + 3976.18i 0.0983143 + 0.993951i
\(253\) 6012.95 1.49419
\(254\) 156.438 + 90.3195i 0.0386448 + 0.0223116i
\(255\) −2449.56 5354.99i −0.601559 1.31507i
\(256\) −2023.51 3504.81i −0.494020 0.855667i
\(257\) 1074.45 + 1861.00i 0.260786 + 0.451695i 0.966451 0.256851i \(-0.0826848\pi\)
−0.705665 + 0.708546i \(0.749351\pi\)
\(258\) −148.681 + 68.0122i −0.0358779 + 0.0164118i
\(259\) 6821.84 + 1639.44i 1.63663 + 0.393320i
\(260\) 2737.41i 0.652949i
\(261\) 1945.99 + 1681.98i 0.461508 + 0.398896i
\(262\) 215.240i 0.0507540i
\(263\) −1057.21 610.380i −0.247872 0.143109i 0.370917 0.928666i \(-0.379043\pi\)
−0.618789 + 0.785557i \(0.712377\pi\)
\(264\) −174.497 + 245.369i −0.0406801 + 0.0572024i
\(265\) 3010.64 1738.20i 0.697895 0.402930i
\(266\) 87.7263 92.4015i 0.0202212 0.0212989i
\(267\) −183.632 17.4196i −0.0420903 0.00399275i
\(268\) 545.703 945.185i 0.124381 0.215434i
\(269\) 4430.56 1.00422 0.502112 0.864803i \(-0.332556\pi\)
0.502112 + 0.864803i \(0.332556\pi\)
\(270\) −69.7024 + 239.032i −0.0157109 + 0.0538779i
\(271\) 111.259i 0.0249391i −0.999922 0.0124695i \(-0.996031\pi\)
0.999922 0.0124695i \(-0.00396928\pi\)
\(272\) −1993.41 + 3452.69i −0.444368 + 0.769668i
\(273\) −1784.93 + 349.149i −0.395710 + 0.0774045i
\(274\) −105.683 183.048i −0.0233012 0.0403588i
\(275\) −6525.68 + 3767.60i −1.43096 + 0.826164i
\(276\) −5496.86 3909.15i −1.19881 0.852548i
\(277\) 1529.33 2648.87i 0.331727 0.574567i −0.651124 0.758971i \(-0.725702\pi\)
0.982850 + 0.184404i \(0.0590356\pi\)
\(278\) 285.064 0.0615000
\(279\) −3257.43 + 1131.94i −0.698987 + 0.242895i
\(280\) −503.971 + 149.156i −0.107564 + 0.0318350i
\(281\) −4124.03 2381.01i −0.875513 0.505478i −0.00633670 0.999980i \(-0.502017\pi\)
−0.869176 + 0.494502i \(0.835350\pi\)
\(282\) 73.4547 33.6008i 0.0155112 0.00709538i
\(283\) −3567.54 + 2059.72i −0.749358 + 0.432642i −0.825462 0.564458i \(-0.809085\pi\)
0.0761041 + 0.997100i \(0.475752\pi\)
\(284\) −3175.71 + 1833.50i −0.663534 + 0.383091i
\(285\) −6018.75 + 2753.19i −1.25095 + 0.572228i
\(286\) −59.3104 34.2429i −0.0122626 0.00707980i
\(287\) 1042.71 + 3523.12i 0.214458 + 0.724611i
\(288\) 478.656 166.331i 0.0979342 0.0340317i
\(289\) −1004.42 −0.204440
\(290\) −84.5343 + 146.418i −0.0171173 + 0.0296481i
\(291\) 5631.03 + 4004.57i 1.13435 + 0.806707i
\(292\) 6697.56 3866.84i 1.34228 0.774964i
\(293\) 1401.70 + 2427.81i 0.279482 + 0.484076i 0.971256 0.238037i \(-0.0765041\pi\)
−0.691774 + 0.722114i \(0.743171\pi\)
\(294\) −80.7204 154.702i −0.0160126 0.0306885i
\(295\) 1938.09 3356.87i 0.382509 0.662524i
\(296\) 593.081i 0.116460i
\(297\) 3590.37 + 3751.45i 0.701463 + 0.732933i
\(298\) 26.0743 0.00506861
\(299\) 1535.17 2658.99i 0.296926 0.514291i
\(300\) 8414.99 + 798.258i 1.61947 + 0.153625i
\(301\) −4098.17 + 4316.57i −0.784766 + 0.826588i
\(302\) −79.3211 + 45.7960i −0.0151140 + 0.00872605i
\(303\) −2755.41 + 3874.52i −0.522423 + 0.734606i
\(304\) 3880.65 + 2240.50i 0.732141 + 0.422702i
\(305\) 3996.38i 0.750268i
\(306\) −125.033 108.070i −0.0233584 0.0201894i
\(307\) 3959.31i 0.736058i 0.929814 + 0.368029i \(0.119967\pi\)
−0.929814 + 0.368029i \(0.880033\pi\)
\(308\) −1279.87 + 5325.63i −0.236777 + 0.985247i
\(309\) 3938.71 1801.71i 0.725132 0.331701i
\(310\) −113.336 196.304i −0.0207647 0.0359656i
\(311\) 2492.25 + 4316.71i 0.454413 + 0.787067i 0.998654 0.0518618i \(-0.0165155\pi\)
−0.544241 + 0.838929i \(0.683182\pi\)
\(312\) 63.9539 + 139.809i 0.0116047 + 0.0253691i
\(313\) −699.706 403.976i −0.126357 0.0729522i 0.435489 0.900194i \(-0.356575\pi\)
−0.561846 + 0.827242i \(0.689909\pi\)
\(314\) 98.6654 0.0177325
\(315\) 892.221 + 9020.30i 0.159590 + 1.61345i
\(316\) −4767.37 −0.848689
\(317\) 2061.65 + 1190.29i 0.365280 + 0.210894i 0.671394 0.741100i \(-0.265696\pi\)
−0.306115 + 0.951995i \(0.599029\pi\)
\(318\) 56.5437 79.5091i 0.00997112 0.0140209i
\(319\) 1762.99 + 3053.58i 0.309430 + 0.535949i
\(320\) −4607.17 7979.85i −0.804839 1.39402i
\(321\) −827.500 + 8723.25i −0.143883 + 1.51677i
\(322\) 286.419 + 68.8330i 0.0495699 + 0.0119128i
\(323\) 4393.06i 0.756769i
\(324\) −843.313 5763.64i −0.144601 0.988279i
\(325\) 3847.63i 0.656702i
\(326\) 152.727 + 88.1772i 0.0259472 + 0.0149806i
\(327\) 3317.19 + 314.673i 0.560981 + 0.0532155i
\(328\) 268.975 155.293i 0.0452794 0.0261421i
\(329\) 2024.66 2132.56i 0.339280 0.357362i
\(330\) −197.812 + 278.154i −0.0329975 + 0.0463995i
\(331\) 3727.74 6456.64i 0.619019 1.07217i −0.370646 0.928774i \(-0.620864\pi\)
0.989665 0.143398i \(-0.0458029\pi\)
\(332\) 2887.97 0.477404
\(333\) −10046.0 1923.27i −1.65321 0.316500i
\(334\) 160.154i 0.0262372i
\(335\) 1237.97 2144.23i 0.201904 0.349707i
\(336\) 4626.77 4031.62i 0.751223 0.654592i
\(337\) 978.259 + 1694.39i 0.158128 + 0.273886i 0.934194 0.356766i \(-0.116121\pi\)
−0.776066 + 0.630652i \(0.782787\pi\)
\(338\) 155.996 90.0641i 0.0251037 0.0144936i
\(339\) 6794.66 3108.12i 1.08860 0.497964i
\(340\) −4527.66 + 7842.13i −0.722196 + 1.25088i
\(341\) −4727.31 −0.750728
\(342\) −121.466 + 140.531i −0.0192050 + 0.0222195i
\(343\) −4827.58 4128.93i −0.759956 0.649974i
\(344\) 435.735 + 251.572i 0.0682944 + 0.0394298i
\(345\) −12470.1 8868.25i −1.94599 1.38391i
\(346\) −67.7900 + 39.1386i −0.0105330 + 0.00608122i
\(347\) −1191.69 + 688.024i −0.184361 + 0.106441i −0.589340 0.807885i \(-0.700612\pi\)
0.404979 + 0.914326i \(0.367279\pi\)
\(348\) 373.531 3937.65i 0.0575384 0.606552i
\(349\) −8098.04 4675.41i −1.24206 0.717103i −0.272546 0.962143i \(-0.587866\pi\)
−0.969513 + 0.245040i \(0.921199\pi\)
\(350\) −353.972 + 104.762i −0.0540588 + 0.0159994i
\(351\) 2575.59 629.916i 0.391665 0.0957904i
\(352\) 694.643 0.105184
\(353\) −338.836 + 586.881i −0.0510890 + 0.0884887i −0.890439 0.455103i \(-0.849603\pi\)
0.839350 + 0.543591i \(0.182936\pi\)
\(354\) 10.2734 108.299i 0.00154244 0.0162599i
\(355\) −7204.37 + 4159.44i −1.07709 + 0.621860i
\(356\) 141.825 + 245.647i 0.0211143 + 0.0365710i
\(357\) −5690.96 1952.02i −0.843690 0.289389i
\(358\) −143.931 + 249.295i −0.0212485 + 0.0368035i
\(359\) 1662.36i 0.244390i −0.992506 0.122195i \(-0.961007\pi\)
0.992506 0.122195i \(-0.0389933\pi\)
\(360\) 723.769 251.507i 0.105961 0.0368210i
\(361\) 1921.41 0.280129
\(362\) 18.4515 31.9589i 0.00267897 0.00464012i
\(363\) 84.1221 + 183.899i 0.0121633 + 0.0265901i
\(364\) 2028.28 + 1925.66i 0.292063 + 0.277286i
\(365\) 15194.0 8772.25i 2.17888 1.25797i
\(366\) −46.6556 101.994i −0.00666319 0.0145664i
\(367\) 2653.41 + 1531.94i 0.377402 + 0.217893i 0.676687 0.736270i \(-0.263415\pi\)
−0.299285 + 0.954164i \(0.596748\pi\)
\(368\) 10359.9i 1.46752i
\(369\) −1758.22 5059.68i −0.248046 0.713811i
\(370\) 672.324i 0.0944661i
\(371\) 829.953 3453.49i 0.116143 0.483279i
\(372\) 4321.57 + 3073.33i 0.602320 + 0.428346i
\(373\) 3900.06 + 6755.10i 0.541387 + 0.937711i 0.998825 + 0.0484687i \(0.0154341\pi\)
−0.457437 + 0.889242i \(0.651233\pi\)
\(374\) −113.275 196.198i −0.0156613 0.0271261i
\(375\) 7368.96 + 699.030i 1.01475 + 0.0962607i
\(376\) −215.271 124.287i −0.0295259 0.0170468i
\(377\) 1800.43 0.245960
\(378\) 128.078 + 219.796i 0.0174276 + 0.0299076i
\(379\) −6855.89 −0.929191 −0.464595 0.885523i \(-0.653800\pi\)
−0.464595 + 0.885523i \(0.653800\pi\)
\(380\) 8814.18 + 5088.87i 1.18989 + 0.686983i
\(381\) −9544.22 905.379i −1.28337 0.121743i
\(382\) −89.6552 155.287i −0.0120083 0.0207989i
\(383\) 5511.46 + 9546.14i 0.735307 + 1.27359i 0.954588 + 0.297928i \(0.0962955\pi\)
−0.219281 + 0.975662i \(0.570371\pi\)
\(384\) −846.527 602.017i −0.112498 0.0800040i
\(385\) −2903.50 + 12081.7i −0.384353 + 1.59932i
\(386\) 37.2057i 0.00490601i
\(387\) 5674.32 6564.98i 0.745328 0.862317i
\(388\) 10625.6i 1.39029i
\(389\) 9460.70 + 5462.14i 1.23310 + 0.711931i 0.967675 0.252200i \(-0.0811541\pi\)
0.265426 + 0.964131i \(0.414487\pi\)
\(390\) 72.4989 + 158.490i 0.00941314 + 0.0205781i
\(391\) 8795.90 5078.32i 1.13767 0.656833i
\(392\) −244.006 + 478.343i −0.0314392 + 0.0616326i
\(393\) −4751.93 10388.2i −0.609931 1.33337i
\(394\) 175.229 303.506i 0.0224059 0.0388081i
\(395\) −10815.2 −1.37765
\(396\) 1501.45 7842.67i 0.190531 0.995225i
\(397\) 7203.22i 0.910627i −0.890331 0.455314i \(-0.849527\pi\)
0.890331 0.455314i \(-0.150473\pi\)
\(398\) 43.1423 74.7246i 0.00543348 0.00941107i
\(399\) −2193.98 + 6396.37i −0.275279 + 0.802554i
\(400\) −6491.34 11243.3i −0.811418 1.40542i
\(401\) −10633.1 + 6139.03i −1.32417 + 0.764510i −0.984391 0.175996i \(-0.943685\pi\)
−0.339778 + 0.940506i \(0.610352\pi\)
\(402\) 6.56222 69.1768i 0.000814163 0.00858266i
\(403\) −1206.93 + 2090.46i −0.149185 + 0.258396i
\(404\) 7311.09 0.900347
\(405\) −1913.13 13075.3i −0.234726 1.60424i
\(406\) 49.0218 + 165.635i 0.00599239 + 0.0202471i
\(407\) −12143.0 7010.75i −1.47888 0.853832i
\(408\) −48.0289 + 506.306i −0.00582791 + 0.0614360i
\(409\) 735.497 424.639i 0.0889193 0.0513376i −0.454881 0.890552i \(-0.650318\pi\)
0.543800 + 0.839215i \(0.316985\pi\)
\(410\) 304.913 176.042i 0.0367283 0.0212051i
\(411\) 9141.81 + 6501.29i 1.09716 + 0.780256i
\(412\) −5768.07 3330.19i −0.689738 0.398221i
\(413\) −1123.91 3797.46i −0.133908 0.452448i
\(414\) −421.788 80.7496i −0.0500719 0.00958605i
\(415\) 6551.61 0.774954
\(416\) 177.349 307.178i 0.0209021 0.0362035i
\(417\) −13758.1 + 6293.46i −1.61568 + 0.739070i
\(418\) −220.517 + 127.316i −0.0258035 + 0.0148977i
\(419\) −3109.74 5386.23i −0.362579 0.628006i 0.625805 0.779979i \(-0.284771\pi\)
−0.988385 + 0.151973i \(0.951437\pi\)
\(420\) 10508.8 9157.07i 1.22090 1.06386i
\(421\) −1012.07 + 1752.95i −0.117162 + 0.202930i −0.918642 0.395091i \(-0.870713\pi\)
0.801480 + 0.598021i \(0.204046\pi\)
\(422\) 81.9628i 0.00945471i
\(423\) −2803.35 + 3243.37i −0.322230 + 0.372809i
\(424\) −300.242 −0.0343892
\(425\) −6363.96 + 11022.7i −0.726347 + 1.25807i
\(426\) −135.307 + 190.263i −0.0153889 + 0.0216391i
\(427\) −2961.12 2811.30i −0.335594 0.318614i
\(428\) 11669.2 6737.23i 1.31788 0.760879i
\(429\) 3618.51 + 343.257i 0.407233 + 0.0386307i
\(430\) 493.955 + 285.185i 0.0553968 + 0.0319834i
\(431\) 6519.65i 0.728633i 0.931275 + 0.364316i \(0.118697\pi\)
−0.931275 + 0.364316i \(0.881303\pi\)
\(432\) −6463.50 + 6185.98i −0.719851 + 0.688943i
\(433\) 17767.9i 1.97199i 0.166772 + 0.985996i \(0.446666\pi\)
−0.166772 + 0.985996i \(0.553334\pi\)
\(434\) −225.179 54.1157i −0.0249054 0.00598534i
\(435\) 847.388 8932.90i 0.0934003 0.984597i
\(436\) −2561.96 4437.45i −0.281412 0.487420i
\(437\) −5707.79 9886.17i −0.624806 1.08220i
\(438\) 285.363 401.263i 0.0311305 0.0437742i
\(439\) −1280.80 739.472i −0.139247 0.0803942i 0.428758 0.903419i \(-0.358951\pi\)
−0.568005 + 0.823025i \(0.692285\pi\)
\(440\) 1050.36 0.113805
\(441\) 7311.25 + 5684.34i 0.789467 + 0.613794i
\(442\) −115.681 −0.0124488
\(443\) 13484.2 + 7785.09i 1.44617 + 0.834945i 0.998250 0.0591295i \(-0.0188325\pi\)
0.447918 + 0.894075i \(0.352166\pi\)
\(444\) 6542.91 + 14303.4i 0.699353 + 1.52885i
\(445\) 321.741 + 557.272i 0.0342742 + 0.0593646i
\(446\) 55.4985 + 96.1262i 0.00589222 + 0.0102056i
\(447\) −1258.43 + 575.652i −0.133158 + 0.0609114i
\(448\) −9153.65 2199.83i −0.965333 0.231991i
\(449\) 6120.30i 0.643284i 0.946861 + 0.321642i \(0.104235\pi\)
−0.946861 + 0.321642i \(0.895765\pi\)
\(450\) 508.351 176.650i 0.0532531 0.0185052i
\(451\) 7342.80i 0.766649i
\(452\) −9950.46 5744.90i −1.03547 0.597826i
\(453\) 2817.24 3961.47i 0.292198 0.410874i
\(454\) −297.262 + 171.624i −0.0307295 + 0.0177417i
\(455\) 4601.34 + 4368.52i 0.474097 + 0.450109i
\(456\) 569.064 + 53.9822i 0.0584405 + 0.00554375i
\(457\) −3498.22 + 6059.10i −0.358074 + 0.620203i −0.987639 0.156745i \(-0.949900\pi\)
0.629565 + 0.776948i \(0.283233\pi\)
\(458\) −307.663 −0.0313890
\(459\) 8420.43 + 2455.42i 0.856278 + 0.249693i
\(460\) 23530.6i 2.38505i
\(461\) 1833.17 3175.15i 0.185205 0.320784i −0.758441 0.651742i \(-0.774038\pi\)
0.943646 + 0.330958i \(0.107372\pi\)
\(462\) 66.9452 + 342.239i 0.00674150 + 0.0344641i
\(463\) 3513.71 + 6085.92i 0.352691 + 0.610878i 0.986720 0.162431i \(-0.0519335\pi\)
−0.634029 + 0.773309i \(0.718600\pi\)
\(464\) −5261.13 + 3037.51i −0.526383 + 0.303907i
\(465\) 9803.85 + 6972.12i 0.977727 + 0.695321i
\(466\) −336.893 + 583.516i −0.0334898 + 0.0580061i
\(467\) 13367.8 1.32460 0.662301 0.749238i \(-0.269580\pi\)
0.662301 + 0.749238i \(0.269580\pi\)
\(468\) −3084.77 2666.27i −0.304688 0.263351i
\(469\) −717.906 2425.66i −0.0706819 0.238820i
\(470\) −244.034 140.893i −0.0239499 0.0138275i
\(471\) −4761.92 + 2178.27i −0.465855 + 0.213099i
\(472\) −289.919 + 167.385i −0.0282725 + 0.0163231i
\(473\) 10301.6 5947.61i 1.00141 0.578163i
\(474\) −276.021 + 126.262i −0.0267469 + 0.0122350i
\(475\) 12389.0 + 7152.79i 1.19673 + 0.690932i
\(476\) 2625.61 + 8871.41i 0.252825 + 0.854245i
\(477\) −973.637 + 5085.71i −0.0934586 + 0.488173i
\(478\) 117.138 0.0112087
\(479\) −3497.20 + 6057.33i −0.333593 + 0.577800i −0.983214 0.182458i \(-0.941594\pi\)
0.649620 + 0.760259i \(0.274928\pi\)
\(480\) −1440.60 1024.50i −0.136988 0.0974205i
\(481\) −6200.45 + 3579.83i −0.587767 + 0.339348i
\(482\) 214.266 + 371.120i 0.0202481 + 0.0350707i
\(483\) −15343.2 + 3001.27i −1.44542 + 0.282738i
\(484\) 155.487 269.312i 0.0146025 0.0252923i
\(485\) 24105.0i 2.25681i
\(486\) −201.473 311.368i −0.0188046 0.0290616i
\(487\) −8233.24 −0.766086 −0.383043 0.923731i \(-0.625124\pi\)
−0.383043 + 0.923731i \(0.625124\pi\)
\(488\) −172.575 + 298.909i −0.0160084 + 0.0277274i
\(489\) −9317.84 883.904i −0.861692 0.0817414i
\(490\) −276.609 + 542.256i −0.0255018 + 0.0499932i
\(491\) −12925.9 + 7462.77i −1.18806 + 0.685927i −0.957865 0.287218i \(-0.907270\pi\)
−0.230195 + 0.973145i \(0.573936\pi\)
\(492\) −4773.72 + 6712.57i −0.437431 + 0.615094i
\(493\) 5157.89 + 2977.91i 0.471196 + 0.272045i
\(494\) 130.020i 0.0118419i
\(495\) 3406.16 17791.8i 0.309284 1.61552i
\(496\) 8144.86i 0.737329i
\(497\) −1986.05 + 8264.09i −0.179248 + 0.745866i
\(498\) 167.207 76.4866i 0.0150457 0.00688242i
\(499\) −4165.46 7214.80i −0.373691 0.647252i 0.616439 0.787402i \(-0.288575\pi\)
−0.990130 + 0.140151i \(0.955241\pi\)
\(500\) −5691.27 9857.56i −0.509042 0.881687i
\(501\) 3535.77 + 7729.54i 0.315302 + 0.689282i
\(502\) 490.688 + 283.299i 0.0436265 + 0.0251878i
\(503\) 15511.0 1.37495 0.687475 0.726208i \(-0.258719\pi\)
0.687475 + 0.726208i \(0.258719\pi\)
\(504\) 322.790 713.203i 0.0285282 0.0630329i
\(505\) 16585.8 1.46150
\(506\) −509.830 294.350i −0.0447919 0.0258606i
\(507\) −5540.49 + 7790.77i −0.485329 + 0.682446i
\(508\) 7371.29 + 12767.4i 0.643795 + 1.11509i
\(509\) −1816.15 3145.66i −0.158152 0.273927i 0.776050 0.630671i \(-0.217220\pi\)
−0.934202 + 0.356744i \(0.883887\pi\)
\(510\) −54.4462 + 573.955i −0.00472729 + 0.0498337i
\(511\) 4188.57 17428.9i 0.362606 1.50883i
\(512\) 1995.51i 0.172246i
\(513\) 2759.77 9464.16i 0.237519 0.814528i
\(514\) 210.388i 0.0180542i
\(515\) −13085.4 7554.83i −1.11963 0.646419i
\(516\) −13284.1 1260.14i −1.13333 0.107509i
\(517\) −5089.39 + 2938.36i −0.432942 + 0.249959i
\(518\) −498.159 472.954i −0.0422546 0.0401166i
\(519\) 2407.69 3385.58i 0.203634 0.286340i
\(520\) 268.168 464.481i 0.0226153 0.0391708i
\(521\) −531.760 −0.0447156 −0.0223578 0.999750i \(-0.507117\pi\)
−0.0223578 + 0.999750i \(0.507117\pi\)
\(522\) −82.6602 237.874i −0.00693092 0.0199453i
\(523\) 14041.2i 1.17395i −0.809604 0.586977i \(-0.800318\pi\)
0.809604 0.586977i \(-0.199682\pi\)
\(524\) −8783.23 + 15213.0i −0.732247 + 1.26829i
\(525\) 14771.0 12870.9i 1.22792 1.06997i
\(526\) 59.7596 + 103.507i 0.00495369 + 0.00858005i
\(527\) −6915.24 + 3992.52i −0.571599 + 0.330013i
\(528\) −11152.9 + 5101.74i −0.919258 + 0.420502i
\(529\) 7112.74 12319.6i 0.584592 1.01254i
\(530\) −340.358 −0.0278947
\(531\) 1895.12 + 5453.67i 0.154880 + 0.445704i
\(532\) 9971.04 2951.06i 0.812593 0.240497i
\(533\) −3247.06 1874.69i −0.263876 0.152349i
\(534\) 14.7172 + 10.4663i 0.00119265 + 0.000848166i
\(535\) 26472.6 15284.0i 2.13927 1.23511i
\(536\) −185.189 + 106.919i −0.0149234 + 0.00861602i
\(537\) 1442.79 15209.4i 0.115942 1.22222i
\(538\) −375.662 216.888i −0.0301040 0.0173805i
\(539\) 6909.42 + 10650.3i 0.552152 + 0.851098i
\(540\) −14680.6 + 14050.3i −1.16992 + 1.11968i
\(541\) −11065.4 −0.879372 −0.439686 0.898151i \(-0.644910\pi\)
−0.439686 + 0.898151i \(0.644910\pi\)
\(542\) −5.44642 + 9.43348i −0.000431631 + 0.000747606i
\(543\) −184.961 + 1949.80i −0.0146177 + 0.154096i
\(544\) 1016.14 586.670i 0.0800860 0.0462376i
\(545\) −5812.03 10066.7i −0.456807 0.791213i
\(546\) 168.433 + 57.7733i 0.0132020 + 0.00452833i
\(547\) 6024.28 10434.4i 0.470895 0.815614i −0.528551 0.848902i \(-0.677264\pi\)
0.999446 + 0.0332874i \(0.0105977\pi\)
\(548\) 17250.3i 1.34470i
\(549\) 4503.50 + 3892.52i 0.350100 + 0.302602i
\(550\) 737.739 0.0571950
\(551\) 3347.02 5797.22i 0.258780 0.448221i
\(552\) 549.745 + 1201.80i 0.0423890 + 0.0926665i
\(553\) −7608.07 + 8013.53i −0.585042 + 0.616221i
\(554\) −259.339 + 149.729i −0.0198885 + 0.0114827i
\(555\) 14843.1 + 32448.6i 1.13524 + 2.48174i
\(556\) 20148.1 + 11632.5i 1.53682 + 0.887283i
\(557\) 2546.80i 0.193737i −0.995297 0.0968684i \(-0.969117\pi\)
0.995297 0.0968684i \(-0.0308826\pi\)
\(558\) 331.605 + 63.4844i 0.0251577 + 0.00481632i
\(559\) 6073.94i 0.459571i
\(560\) −20815.9 5002.54i −1.57077 0.377493i
\(561\) 9798.57 + 6968.36i 0.737426 + 0.524428i
\(562\) 233.114 + 403.766i 0.0174970 + 0.0303057i
\(563\) −11536.2 19981.3i −0.863578 1.49576i −0.868452 0.495772i \(-0.834885\pi\)
0.00487467 0.999988i \(-0.498448\pi\)
\(564\) 6562.87 + 622.563i 0.489976 + 0.0464799i
\(565\) −22573.5 13032.8i −1.68084 0.970432i
\(566\) 403.316 0.0299517
\(567\) −11034.0 7780.45i −0.817256 0.576275i
\(568\) 718.468 0.0530744
\(569\) −5471.39 3158.91i −0.403115 0.232739i 0.284712 0.958613i \(-0.408102\pi\)
−0.687827 + 0.725874i \(0.741435\pi\)
\(570\) 645.098 + 61.1950i 0.0474039 + 0.00449680i
\(571\) −9276.07 16066.6i −0.679845 1.17753i −0.975027 0.222085i \(-0.928714\pi\)
0.295182 0.955441i \(-0.404620\pi\)
\(572\) −2794.68 4840.53i −0.204286 0.353833i
\(573\) 7755.39 + 5515.33i 0.565421 + 0.402105i
\(574\) 84.0564 349.765i 0.00611228 0.0254336i
\(575\) 33074.1i 2.39876i
\(576\) 13479.9 + 2580.67i 0.975109 + 0.186680i
\(577\) 2684.61i 0.193695i 0.995299 + 0.0968473i \(0.0308758\pi\)
−0.995299 + 0.0968473i \(0.969124\pi\)
\(578\) 85.1631 + 49.1689i 0.00612858 + 0.00353834i
\(579\) 821.404 + 1795.67i 0.0589575 + 0.128887i
\(580\) −11949.7 + 6899.14i −0.855488 + 0.493916i
\(581\) 4608.81 4854.43i 0.329097 0.346636i
\(582\) −281.413 615.196i −0.0200429 0.0438157i
\(583\) −3549.13 + 6147.27i −0.252127 + 0.436696i
\(584\) −1515.25 −0.107365
\(585\) −6998.08 6048.66i −0.494589 0.427489i
\(586\) 274.468i 0.0193484i
\(587\) 9124.16 15803.5i 0.641558 1.11121i −0.343527 0.939143i \(-0.611622\pi\)
0.985085 0.172068i \(-0.0550448\pi\)
\(588\) 607.625 14228.2i 0.0426157 0.997892i
\(589\) 4487.40 + 7772.40i 0.313922 + 0.543729i
\(590\) −328.656 + 189.750i −0.0229332 + 0.0132405i
\(591\) −1756.53 + 18516.8i −0.122257 + 1.28880i
\(592\) 12079.1 20921.6i 0.838593 1.45249i
\(593\) 10331.8 0.715473 0.357736 0.933823i \(-0.383549\pi\)
0.357736 + 0.933823i \(0.383549\pi\)
\(594\) −120.779 493.839i −0.00834281 0.0341119i
\(595\) 5956.41 + 20125.6i 0.410402 + 1.38667i
\(596\) 1842.92 + 1064.01i 0.126659 + 0.0731266i
\(597\) −432.466 + 4558.92i −0.0296477 + 0.312536i
\(598\) −260.329 + 150.301i −0.0178021 + 0.0102781i
\(599\) −3453.17 + 1993.69i −0.235547 + 0.135993i −0.613129 0.789983i \(-0.710089\pi\)
0.377581 + 0.925976i \(0.376756\pi\)
\(600\) −1349.65 959.816i −0.0918319 0.0653072i
\(601\) 15935.6 + 9200.43i 1.08158 + 0.624448i 0.931321 0.364199i \(-0.118657\pi\)
0.150255 + 0.988647i \(0.451990\pi\)
\(602\) 558.786 165.380i 0.0378313 0.0111966i
\(603\) 1210.53 + 3483.58i 0.0817521 + 0.235261i
\(604\) −7475.15 −0.503576
\(605\) 352.736 610.957i 0.0237038 0.0410561i
\(606\) 423.296 193.631i 0.0283750 0.0129797i
\(607\) −12276.2 + 7087.68i −0.820883 + 0.473937i −0.850721 0.525618i \(-0.823834\pi\)
0.0298377 + 0.999555i \(0.490501\pi\)
\(608\) −659.389 1142.10i −0.0439832 0.0761811i
\(609\) −6022.74 6911.82i −0.400745 0.459903i
\(610\) −195.634 + 338.848i −0.0129852 + 0.0224910i
\(611\) 3000.77i 0.198688i
\(612\) −4427.28 12740.5i −0.292422 0.841513i
\(613\) −2164.43 −0.142611 −0.0713054 0.997455i \(-0.522716\pi\)
−0.0713054 + 0.997455i \(0.522716\pi\)
\(614\) 193.819 335.705i 0.0127393 0.0220650i
\(615\) −10829.6 + 15228.0i −0.710067 + 0.998462i
\(616\) 738.889 778.267i 0.0483290 0.0509047i
\(617\) 2799.72 1616.42i 0.182678 0.105469i −0.405872 0.913930i \(-0.633032\pi\)
0.588550 + 0.808460i \(0.299699\pi\)
\(618\) −422.157 40.0464i −0.0274784 0.00260664i
\(619\) −18943.3 10936.9i −1.23004 0.710166i −0.263005 0.964795i \(-0.584713\pi\)
−0.967039 + 0.254629i \(0.918047\pi\)
\(620\) 18499.5i 1.19832i
\(621\) 22139.6 5414.74i 1.43065 0.349897i
\(622\) 488.010i 0.0314589i
\(623\) 639.244 + 153.625i 0.0411088 + 0.00987937i
\(624\) −591.410 + 6234.46i −0.0379412 + 0.399965i
\(625\) −187.001 323.895i −0.0119680 0.0207292i
\(626\) 39.5514 + 68.5051i 0.00252523 + 0.00437383i
\(627\) 7832.10 11013.1i 0.498858 0.701470i
\(628\) 6973.61 + 4026.22i 0.443117 + 0.255834i
\(629\) −23684.1 −1.50135
\(630\) 365.919 808.496i 0.0231405 0.0511290i
\(631\) −9979.57 −0.629604 −0.314802 0.949157i \(-0.601938\pi\)
−0.314802 + 0.949157i \(0.601938\pi\)
\(632\) 808.923 + 467.032i 0.0509134 + 0.0293948i
\(633\) −1809.52 3955.80i −0.113621 0.248387i
\(634\) −116.536 201.847i −0.00730007 0.0126441i
\(635\) 16722.4 + 28964.0i 1.04505 + 1.81008i
\(636\) 7240.98 3312.29i 0.451452 0.206511i
\(637\) 6473.73 336.280i 0.402666 0.0209166i
\(638\) 345.212i 0.0214217i
\(639\) 2329.88 12169.9i 0.144239 0.753419i
\(640\) 3623.76i 0.223815i
\(641\) 13685.3 + 7901.22i 0.843272 + 0.486864i 0.858375 0.513022i \(-0.171474\pi\)
−0.0151029 + 0.999886i \(0.504808\pi\)
\(642\) 497.190 699.125i 0.0305647 0.0429786i
\(643\) 10980.9 6339.83i 0.673476 0.388831i −0.123917 0.992293i \(-0.539546\pi\)
0.797392 + 0.603461i \(0.206212\pi\)
\(644\) 17435.1 + 16552.9i 1.06683 + 1.01285i
\(645\) −30136.0 2858.75i −1.83970 0.174516i
\(646\) −215.053 + 372.482i −0.0130977 + 0.0226859i
\(647\) −20710.7 −1.25846 −0.629230 0.777219i \(-0.716630\pi\)
−0.629230 + 0.777219i \(0.716630\pi\)
\(648\) −421.538 + 1060.58i −0.0255549 + 0.0642958i
\(649\) 7914.57i 0.478696i
\(650\) 188.352 326.235i 0.0113658 0.0196862i
\(651\) 12062.6 2359.56i 0.726224 0.142056i
\(652\) 7196.45 + 12464.6i 0.432262 + 0.748699i
\(653\) −1355.80 + 782.771i −0.0812505 + 0.0469100i −0.540075 0.841617i \(-0.681604\pi\)
0.458824 + 0.888527i \(0.348271\pi\)
\(654\) −265.856 189.066i −0.0158957 0.0113044i
\(655\) −19925.5 + 34512.0i −1.18863 + 2.05877i
\(656\) 12651.2 0.752966
\(657\) −4913.71 + 25666.3i −0.291784 + 1.52411i
\(658\) −276.063 + 81.7044i −0.0163557 + 0.00484069i
\(659\) −15480.8 8937.83i −0.915091 0.528328i −0.0330256 0.999455i \(-0.510514\pi\)
−0.882066 + 0.471126i \(0.843848\pi\)
\(660\) −25331.8 + 11587.7i −1.49400 + 0.683408i
\(661\) 21911.3 12650.5i 1.28934 0.744399i 0.310801 0.950475i \(-0.399403\pi\)
0.978536 + 0.206076i \(0.0660695\pi\)
\(662\) −632.141 + 364.967i −0.0371131 + 0.0214272i
\(663\) 5583.15 2553.93i 0.327046 0.149603i
\(664\) −490.028 282.918i −0.0286397 0.0165352i
\(665\) 22620.2 6694.72i 1.31906 0.390391i
\(666\) 757.640 + 654.852i 0.0440810 + 0.0381006i
\(667\) 15476.4 0.898427
\(668\) 6535.35 11319.6i 0.378533 0.655639i
\(669\) −4800.75 3414.11i −0.277441 0.197305i
\(670\) −209.932 + 121.204i −0.0121051 + 0.00698886i
\(671\) 4079.99 + 7066.75i 0.234734 + 0.406571i
\(672\) −1772.51 + 346.720i −0.101750 + 0.0199033i
\(673\) −16774.4 + 29054.1i −0.960781 + 1.66412i −0.240233 + 0.970715i \(0.577224\pi\)
−0.720548 + 0.693405i \(0.756110\pi\)
\(674\) 191.554i 0.0109472i
\(675\) −20634.7 + 19748.8i −1.17664 + 1.12612i
\(676\) 14700.9 0.836419
\(677\) −16134.2 + 27945.3i −0.915935 + 1.58645i −0.110408 + 0.993886i \(0.535216\pi\)
−0.805527 + 0.592559i \(0.798118\pi\)
\(678\) −728.261 69.0839i −0.0412518 0.00391320i
\(679\) −17860.6 16956.9i −1.00947 0.958390i
\(680\) 1536.50 887.097i 0.0866500 0.0500274i
\(681\) 10557.8 14845.9i 0.594092 0.835383i
\(682\) 400.823 + 231.415i 0.0225048 + 0.0129932i
\(683\) 14942.5i 0.837126i −0.908188 0.418563i \(-0.862534\pi\)
0.908188 0.418563i \(-0.137466\pi\)
\(684\) −14319.8 + 4976.05i −0.800482 + 0.278164i
\(685\) 39133.7i 2.18281i
\(686\) 207.202 + 586.410i 0.0115321 + 0.0326374i
\(687\) 14848.9 6792.40i 0.824628 0.377214i
\(688\) 10247.4 + 17748.9i 0.567844 + 0.983534i
\(689\) 1812.26 + 3138.92i 0.100205 + 0.173561i
\(690\) 623.198 + 1362.37i 0.0343837 + 0.0751662i
\(691\) 9734.42 + 5620.17i 0.535912 + 0.309409i 0.743420 0.668824i \(-0.233202\pi\)
−0.207509 + 0.978233i \(0.566536\pi\)
\(692\) −6388.47 −0.350944
\(693\) −10786.7 15039.6i −0.591276 0.824398i
\(694\) 134.723 0.00736889
\(695\) 45707.8 + 26389.4i 2.49467 + 1.44030i
\(696\) −449.129 + 631.544i −0.0244601 + 0.0343946i
\(697\) −6201.46 10741.2i −0.337012 0.583721i
\(698\) 457.748 + 792.843i 0.0248224 + 0.0429936i
\(699\) 3377.08 35600.1i 0.182737 1.92635i
\(700\) −29293.5 7039.90i −1.58170 0.380119i
\(701\) 19409.2i 1.04576i 0.852407 + 0.522879i \(0.175142\pi\)
−0.852407 + 0.522879i \(0.824858\pi\)
\(702\) −249.217 72.6723i −0.0133990 0.00390718i
\(703\) 26619.8i 1.42814i
\(704\) 16293.6 + 9407.13i 0.872285 + 0.503614i
\(705\) 14888.4 + 1412.34i 0.795363 + 0.0754493i
\(706\) 57.4589 33.1739i 0.00306302 0.00176844i
\(707\) 11667.5 12289.3i 0.620652 0.653729i
\(708\) 5145.44 7235.27i 0.273132 0.384065i
\(709\) 866.108 1500.14i 0.0458778 0.0794627i −0.842175 0.539205i \(-0.818725\pi\)
0.888052 + 0.459742i \(0.152058\pi\)
\(710\) 814.465 0.0430512
\(711\) 10534.1 12187.6i 0.555641 0.642857i
\(712\) 55.5750i 0.00292522i
\(713\) −10374.7 + 17969.6i −0.544932 + 0.943851i
\(714\) 386.972 + 444.097i 0.0202830 + 0.0232772i
\(715\) −6339.97 10981.2i −0.331610 0.574366i
\(716\) −20345.8 + 11746.7i −1.06196 + 0.613120i
\(717\) −5653.44 + 2586.09i −0.294465 + 0.134699i
\(718\) −81.3772 + 140.949i −0.00422976 + 0.00732616i
\(719\) −36946.9 −1.91639 −0.958197 0.286109i \(-0.907638\pi\)
−0.958197 + 0.286109i \(0.907638\pi\)
\(720\) 30654.1 + 5868.59i 1.58668 + 0.303763i
\(721\) −14802.8 + 4381.08i −0.764612 + 0.226297i
\(722\) −162.914 94.0582i −0.00839753 0.00484832i
\(723\) −18534.6 13181.0i −0.953399 0.678020i
\(724\) 2608.28 1505.89i 0.133889 0.0773011i
\(725\) −16796.2 + 9697.26i −0.860405 + 0.496755i
\(726\) 1.86977 19.7106i 9.55838e−5 0.00100762i
\(727\) 1776.00 + 1025.38i 0.0906029 + 0.0523096i 0.544617 0.838685i \(-0.316675\pi\)
−0.454014 + 0.890995i \(0.650008\pi\)
\(728\) −155.512 525.444i −0.00791710 0.0267503i
\(729\) 16598.0 + 10579.6i 0.843263 + 0.537501i
\(730\) −1717.70 −0.0870892
\(731\) 10046.3 17400.6i 0.508310 0.880419i
\(732\) 864.445 9112.71i 0.0436487 0.460131i
\(733\) −27156.6 + 15678.9i −1.36842 + 0.790058i −0.990726 0.135873i \(-0.956616\pi\)
−0.377694 + 0.925931i \(0.623283\pi\)
\(734\) −149.986 259.783i −0.00754234 0.0130637i
\(735\) 1378.45 32277.9i 0.0691767 1.61985i
\(736\) 1524.49 2640.49i 0.0763498 0.132242i
\(737\) 5055.50i 0.252675i
\(738\) −98.6085 + 515.073i −0.00491847 + 0.0256912i
\(739\) 1233.93 0.0614219 0.0307109 0.999528i \(-0.490223\pi\)
0.0307109 + 0.999528i \(0.490223\pi\)
\(740\) 27435.4 47519.4i 1.36290 2.36061i
\(741\) −2870.50 6275.20i −0.142308 0.311100i
\(742\) −239.429 + 252.189i −0.0118460 + 0.0124773i
\(743\) 26190.4 15121.0i 1.29318 0.746618i 0.313963 0.949435i \(-0.398343\pi\)
0.979217 + 0.202818i \(0.0650098\pi\)
\(744\) −432.204 944.840i −0.0212975 0.0465585i
\(745\) 4180.81 + 2413.79i 0.205602 + 0.118704i
\(746\) 763.675i 0.0374801i
\(747\) −6381.35 + 7382.99i −0.312559 + 0.361619i
\(748\) 18489.6i 0.903803i
\(749\) 7297.79 30366.6i 0.356015 1.48140i
\(750\) −590.585 420.001i −0.0287535 0.0204483i
\(751\) −2746.70 4757.42i −0.133460 0.231159i 0.791548 0.611107i \(-0.209275\pi\)
−0.925008 + 0.379947i \(0.875942\pi\)
\(752\) −5062.61 8768.70i −0.245498 0.425215i
\(753\) −29936.7 2839.84i −1.44881 0.137436i
\(754\) −152.656 88.1361i −0.00737323 0.00425693i
\(755\) −16958.0 −0.817438
\(756\) 83.3256 + 20761.5i 0.00400863 + 0.998794i
\(757\) −31971.7 −1.53505 −0.767523 0.641021i \(-0.778511\pi\)
−0.767523 + 0.641021i \(0.778511\pi\)
\(758\) 581.302 + 335.615i 0.0278547 + 0.0160819i
\(759\) 31104.6 + 2950.62i 1.48751 + 0.141108i
\(760\) −997.055 1726.95i −0.0475881 0.0824251i
\(761\) 8220.51 + 14238.3i 0.391581 + 0.678238i 0.992658 0.120953i \(-0.0385949\pi\)
−0.601077 + 0.799191i \(0.705262\pi\)
\(762\) 764.921 + 543.982i 0.0363651 + 0.0258614i
\(763\) −11547.5 2775.12i −0.547899 0.131673i
\(764\) 14634.2i 0.692991i
\(765\) −10043.7 28903.0i −0.474679 1.36600i
\(766\) 1079.21i 0.0509051i
\(767\) 3499.90 + 2020.67i 0.164764 + 0.0951266i
\(768\) −8747.60 19123.1i −0.411005 0.898497i
\(769\) −1220.92 + 704.900i −0.0572531 + 0.0330551i −0.528353 0.849025i \(-0.677190\pi\)
0.471100 + 0.882080i \(0.343857\pi\)
\(770\) 837.614 882.253i 0.0392020 0.0412912i
\(771\) 4644.82 + 10154.0i 0.216964 + 0.474305i
\(772\) 1518.24 2629.67i 0.0707808 0.122596i
\(773\) 9575.08