Properties

Label 63.4.o.a.20.11
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 20.11
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0847887 - 0.0489528i) q^{2} +(-5.17293 - 0.490712i) q^{3} +(-3.99521 - 6.91990i) q^{4} +(9.06347 + 15.6984i) q^{5} +(0.414584 + 0.294836i) q^{6} +(12.7516 + 13.4312i) q^{7} +1.56555i q^{8} +(26.5184 + 5.07683i) q^{9} +O(q^{10})\) \(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} +(12.7516 + 13.4312i) 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} +(-0.423698 - 1.76304i) 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} +(-59.3723 - 75.7359i) 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} +(1.32662 + 9.32799i) 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} +(-17.7932 + 342.538i) 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} +(-21.0272 + 19.9633i) 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} +(269.964 + 420.911i) 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} +(23.8367 - 22.6306i) 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} +(160.176 + 666.503i) 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} +(-286.880 + 713.431i) 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 \(0.134226\pi\)
−0.101740 + 0.994811i \(0.532441\pi\)
\(6\) 0.414584 + 0.294836i 0.0282089 + 0.0200611i
\(7\) 12.7516 + 13.4312i 0.688522 + 0.725216i
\(8\) 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 −0.664328 0.747441i \(-0.731282\pi\)
0.315139 + 0.949046i \(0.397949\pi\)
\(14\) −0.423698 1.76304i −0.00808843 0.0336566i
\(15\) −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 \(-0.647141\pi\)
−0.445971 + 0.895048i \(0.647141\pi\)
\(18\) −1.99994 1.72861i −0.0261883 0.0226354i
\(19\) 70.2680i 0.848452i 0.905556 + 0.424226i \(0.139454\pi\)
−0.905556 + 0.424226i \(0.860546\pi\)
\(20\) 72.4209 125.437i 0.809690 1.40242i
\(21\) −59.3723 75.7359i −0.616957 0.786997i
\(22\) −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 −0.144093 0.989564i \(-0.546027\pi\)
0.784941 + 0.619570i \(0.212693\pi\)
\(32\) 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 0.990748 0.135716i \(-0.0433334\pi\)
−0.612907 + 0.790155i \(0.710000\pi\)
\(42\) 1.32662 + 9.32799i 0.00487384 + 0.0342700i
\(43\) 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 −0.716136 0.697960i \(-0.754091\pi\)
0.962520 + 0.271212i \(0.0874245\pi\)
\(48\) 192.039 270.036i 0.577468 0.812008i
\(49\) −17.7932 + 342.538i −0.0518754 + 0.998654i
\(50\) 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
\(56\) −21.0272 + 19.9633i −0.0501764 + 0.0476376i
\(57\) 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 0.723617 0.690202i \(-0.242478\pi\)
−0.959541 + 0.281570i \(0.909145\pi\)
\(60\) −436.181 + 613.337i −0.938513 + 1.31969i
\(61\) −190.929 110.233i −0.400754 0.231375i 0.286055 0.958213i \(-0.407656\pi\)
−0.686809 + 0.726838i \(0.740989\pi\)
\(62\) −12.5047 −0.0256145
\(63\) 269.964 + 420.911i 0.539878 + 0.841743i
\(64\) 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
\(70\) 23.8367 22.6306i 0.0407004 0.0386411i
\(71\) 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 \(-0.717299\pi\)
0.630863 0.775894i \(-0.282701\pi\)
\(74\) 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
\(77\) 160.176 + 666.503i 0.237061 + 0.986429i
\(78\) −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 −0.721436 0.692481i \(-0.756518\pi\)
0.960424 + 0.278541i \(0.0898509\pi\)
\(84\) −286.880 + 713.431i −0.372634 + 0.926687i
\(85\) −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 \(-0.493271\pi\)
0.0211396 + 0.999777i \(0.493271\pi\)
\(90\) 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 −0.243701 0.969850i \(-0.578362\pi\)
−0.961766 + 0.273874i \(0.911695\pi\)
\(98\) 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 −0.547717 0.836664i \(-0.684503\pi\)
0.998430 + 0.0560049i \(0.0178362\pi\)
\(102\) −25.9193 18.4328i −0.0251607 0.0178933i
\(103\) −721.873 + 416.774i −0.690566 + 0.398698i −0.803824 0.594867i \(-0.797205\pi\)
0.113258 + 0.993566i \(0.463871\pi\)
\(104\) −14.7939 25.6238i −0.0139487 0.0241598i
\(105\) 650.813 1618.48i 0.604884 1.50426i
\(106\) 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
\(112\) −1148.34 + 275.973i −0.968822 + 0.232830i
\(113\) 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
\(119\) −797.213 839.700i −0.614121 0.646850i
\(120\) 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
\(126\) −2.28515 48.9040i −0.00161569 0.0345771i
\(127\) −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 \(0.0952724\pi\)
−0.222416 + 0.974952i \(0.571394\pi\)
\(132\) −145.125 + 1529.87i −0.0956934 + 1.00877i
\(133\) −943.782 + 896.030i −0.615311 + 0.584178i
\(134\) 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 \(-0.318520\pi\)
0.998917 0.0465196i \(-0.0148130\pi\)
\(140\) 2608.24 626.820i 1.57455 0.378400i
\(141\) −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
\(147\) 260.131 1763.19i 0.145954 0.989291i
\(148\) 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 −0.261496 0.965205i \(-0.584216\pi\)
0.705144 + 0.709064i \(0.250882\pi\)
\(158\) −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 0.611928 0.790914i \(-0.290394\pi\)
−0.990915 + 0.134488i \(0.957061\pi\)
\(168\) 118.568 92.9503i 0.0544509 0.0426862i
\(169\) −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 −0.940397 0.340078i \(-0.889547\pi\)
0.764715 + 0.644369i \(0.222880\pi\)
\(174\) 20.1601 + 44.0720i 0.00878353 + 0.0192017i
\(175\) −3666.08 + 881.043i −1.58360 + 0.380575i
\(176\) −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 \(-0.975340\pi\)
0.997001 0.0773938i \(-0.0246599\pi\)
\(182\) 23.5949 + 24.8523i 0.00960971 + 0.0101218i
\(183\) 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
\(189\) −1189.96 2309.82i −0.457973 0.888966i
\(190\) 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
\(196\) 2441.42 1245.38i 0.889730 0.453857i
\(197\) 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 \(-0.949827\pi\)
0.987603 0.156970i \(-0.0501725\pi\)
\(200\) −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
\(203\) 412.269 + 1715.48i 0.142540 + 0.593119i
\(204\) −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
\(210\) −134.411 + 105.370i −0.0441677 + 0.0346248i
\(211\) −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 0.640120 0.768275i \(-0.278885\pi\)
−0.345286 + 0.938497i \(0.612218\pi\)
\(224\) 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 \(0.337964\pi\)
−0.999894 + 0.0145471i \(0.995369\pi\)
\(228\) −2653.09 + 1213.62i −0.770635 + 0.352516i
\(229\) −2721.44 + 1571.23i −0.785319 + 0.453404i −0.838312 0.545191i \(-0.816457\pi\)
0.0529930 + 0.998595i \(0.483124\pi\)
\(230\) −144.159 249.691i −0.0413285 0.0715831i
\(231\) −501.517 3526.37i −0.142846 1.00441i
\(232\) −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
\(238\) 26.4890 + 110.223i 0.00721441 + 0.0300197i
\(239\) −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 0.912118 0.409928i \(-0.134446\pi\)
0.101051 + 0.994881i \(0.467780\pi\)
\(242\) 3.81033i 0.00101214i
\(243\) −3372.28 1725.29i −0.890255 0.455463i
\(244\) 1761.62i 0.462196i
\(245\) −5538.57 + 2825.26i −1.44427 + 0.736731i
\(246\) −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 \(-0.240609\pi\)
0.727658 + 0.685940i \(0.240609\pi\)
\(252\) 1834.10 3549.75i 0.458482 0.887355i
\(253\) 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 0.705665 0.708546i \(-0.250649\pi\)
−0.966451 + 0.256851i \(0.917315\pi\)
\(258\) 148.681 68.0122i 0.0358779 0.0164118i
\(259\) −4830.72 5088.16i −1.15894 1.22071i
\(260\) 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
\(266\) 123.885 29.7724i 0.0285560 0.00686265i
\(267\) −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 \(-0.667444\pi\)
−0.502112 + 0.864803i \(0.667444\pi\)
\(270\) −69.7024 + 239.032i −0.0157109 + 0.0538779i
\(271\) 111.259i 0.0249391i 0.999922 + 0.0124695i \(0.00396928\pi\)
−0.999922 + 0.0124695i \(0.996031\pi\)
\(272\) 1993.41 3452.69i 0.444368 0.769668i
\(273\) 1687.44 + 678.542i 0.374097 + 0.150430i
\(274\) −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 −0.0761041 0.997100i \(-0.524248\pi\)
0.825462 + 0.564458i \(0.190915\pi\)
\(284\) −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 0.691774 0.722114i \(-0.256829\pi\)
−0.971256 + 0.238037i \(0.923496\pi\)
\(294\) −108.369 + 136.765i −0.0214974 + 0.0271302i
\(295\) 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
\(301\) 5787.35 1390.83i 1.10823 0.266333i
\(302\) −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 \(-0.880033\pi\)
0.929814 0.368029i \(-0.119967\pi\)
\(308\) 3972.20 3771.22i 0.734860 0.697679i
\(309\) 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 0.544241 0.838929i \(-0.316818\pi\)
−0.998654 + 0.0518618i \(0.983484\pi\)
\(312\) 63.9539 + 139.809i 0.0116047 + 0.0253691i
\(313\) 699.706 + 403.976i 0.126357 + 0.0729522i 0.561846 0.827242i \(-0.310091\pi\)
−0.435489 + 0.900194i \(0.643425\pi\)
\(314\) −98.6654 −0.0177325
\(315\) −4160.82 + 8052.92i −0.744239 + 1.44042i
\(316\) −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
\(322\) −202.821 213.630i −0.0351017 0.0369724i
\(323\) 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
\(329\) 2859.19 687.127i 0.479125 0.115145i
\(330\) −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
\(336\) 6075.71 864.082i 0.986480 0.140296i
\(337\) 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 0.969513 0.245040i \(-0.0788011\pi\)
0.272546 + 0.962143i \(0.412134\pi\)
\(350\) 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 −0.839350 0.543591i \(-0.817064\pi\)
0.890439 + 0.455103i \(0.150397\pi\)
\(354\) 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
\(357\) 3711.88 + 4734.91i 0.550290 + 0.701955i
\(358\) −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
\(364\) 653.528 + 2719.38i 0.0941048 + 0.391577i
\(365\) 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 0.299285 0.954164i \(-0.403252\pi\)
−0.676687 + 0.736270i \(0.736585\pi\)
\(368\) 10359.9i 1.46752i
\(369\) 1758.22 + 5059.68i 0.248046 + 0.713811i
\(370\) 672.324i 0.0944661i
\(371\) −2575.84 + 2445.51i −0.360460 + 0.342222i
\(372\) 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
\(378\) −12.1769 + 254.098i −0.00165691 + 0.0345752i
\(379\) −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 \(-0.903705\pi\)
0.219281 0.975662i \(-0.429629\pi\)
\(384\) 846.527 + 602.017i 0.112498 + 0.0800040i
\(385\) −9011.27 + 8555.33i −1.19288 + 1.13252i
\(386\) 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
\(392\) −536.261 27.8562i −0.0690950 0.00358916i
\(393\) −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 \(0.150473\pi\)
−0.890331 + 0.455314i \(0.849527\pi\)
\(398\) −43.1423 + 74.7246i −0.00543348 + 0.00941107i
\(399\) 5321.81 4171.97i 0.667729 0.523458i
\(400\) −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 −0.543800 0.839215i \(-0.683015\pi\)
0.454881 + 0.890552i \(0.349682\pi\)
\(410\) 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 0.988385 0.151973i \(-0.0485628\pi\)
−0.625805 + 0.779979i \(0.715229\pi\)
\(420\) −13799.9 + 1962.60i −1.60325 + 0.228012i
\(421\) −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
\(427\) −954.094 3970.05i −0.108131 0.449940i
\(428\) 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 \(-0.553334\pi\)
0.166772 0.985996i \(-0.446666\pi\)
\(434\) −159.455 167.953i −0.0176362 0.0185761i
\(435\) 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 0.568005 0.823025i \(-0.307715\pi\)
−0.428758 + 0.903419i \(0.641049\pi\)
\(440\) −1050.36 −0.113805
\(441\) −2210.86 + 8993.23i −0.238728 + 0.971087i
\(442\) −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
\(448\) 6481.93 + 6827.38i 0.683577 + 0.720007i
\(449\) 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
\(455\) −1482.58 6169.14i −0.152757 0.635634i
\(456\) 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 −0.943646 0.330958i \(-0.892628\pi\)
0.758441 + 0.651742i \(0.225962\pi\)
\(462\) −130.103 + 323.547i −0.0131016 + 0.0325818i
\(463\) 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 \(-0.730420\pi\)
−0.662301 + 0.749238i \(0.730420\pi\)
\(468\) 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 −0.649620 0.760259i \(-0.725072\pi\)
0.983214 + 0.182458i \(0.0584055\pi\)
\(480\) −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
\(483\) −14505.2 5832.73i −1.36648 0.549479i
\(484\) 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
\(490\) 607.912 + 31.5782i 0.0560463 + 0.00291134i
\(491\) −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
\(497\) 6163.89 5852.01i 0.556314 0.528166i
\(498\) 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 \(-0.741281\pi\)
−0.687475 + 0.726208i \(0.741281\pi\)
\(504\) −658.958 + 422.643i −0.0582387 + 0.0373532i
\(505\) 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 0.934202 0.356744i \(-0.116113\pi\)
−0.776050 + 0.630671i \(0.782780\pi\)
\(510\) 54.4462 573.955i 0.00472729 0.0498337i
\(511\) 12999.6 12341.9i 1.12538 1.06844i
\(512\) 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
\(518\) 160.510 + 667.896i 0.0136147 + 0.0566518i
\(519\) 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 \(-0.492883\pi\)
0.0223578 + 0.999750i \(0.492883\pi\)
\(522\) −82.6602 237.874i −0.00693092 0.0199453i
\(523\) 14041.2i 1.17395i 0.809604 + 0.586977i \(0.199682\pi\)
−0.809604 + 0.586977i \(0.800318\pi\)
\(524\) 8783.23 15213.0i 0.732247 1.26829i
\(525\) 19396.7 2758.58i 1.61246 0.229323i
\(526\) 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
\(546\) −109.859 140.138i −0.00861088 0.0109841i
\(547\) 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
\(553\) 10744.0 2582.02i 0.826184 0.198551i
\(554\) −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
\(560\) −14740.3 15525.9i −1.11231 1.17158i
\(561\) 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 \(0.165115\pi\)
−0.00487467 + 0.999988i \(0.501552\pi\)
\(564\) 6562.87 + 622.563i 0.489976 + 0.0464799i
\(565\) 22573.5 + 13032.8i 1.68084 + 0.970432i
\(566\) −403.316 −0.0299517
\(567\) 5022.13 + 12532.5i 0.371974 + 0.928243i
\(568\) 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
\(574\) 260.877 247.677i 0.0189700 0.0180102i
\(575\) 33074.1i 2.39876i
\(576\) 13479.9 + 2580.67i 0.975109 + 0.186680i
\(577\) 2684.61i 0.193695i −0.995299 0.0968473i \(-0.969124\pi\)
0.995299 0.0968473i \(-0.0308758\pi\)
\(578\) 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
\(581\) 6508.46 1564.13i 0.464744 0.111689i
\(582\) −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 \(0.388378\pi\)
−0.985085 + 0.172068i \(0.944955\pi\)
\(588\) −13240.4 + 5244.25i −0.928614 + 0.367805i
\(589\) 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 \(-0.616451\pi\)
−0.357736 + 0.933823i \(0.616451\pi\)
\(594\) 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 −0.150255 0.988647i \(-0.548010\pi\)
−0.931321 + 0.364199i \(0.881343\pi\)
\(602\) −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 −0.0298377 0.999555i \(-0.509499\pi\)
0.850721 + 0.525618i \(0.176166\pi\)
\(608\) 659.389 + 1142.10i 0.0439832 + 0.0761811i
\(609\) −1290.83 9076.37i −0.0858902 0.603929i
\(610\) −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
\(616\) −1043.44 + 250.763i −0.0682492 + 0.0164018i
\(617\) 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 0.967039 0.254629i \(-0.0819532\pi\)
0.263005 + 0.964795i \(0.415287\pi\)
\(620\) 18499.5i 1.19832i
\(621\) −22139.6 + 5414.74i −1.43065 + 0.349897i
\(622\) 488.010i 0.0314589i
\(623\) 452.665 + 476.789i 0.0291102 + 0.0306616i
\(624\) −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
\(630\) 747.003 479.113i 0.0472402 0.0302989i
\(631\) −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
\(637\) −2945.64 5774.55i −0.183219 0.359178i
\(638\) 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 −0.797392 0.603461i \(-0.793788\pi\)
0.123917 + 0.992293i \(0.460454\pi\)
\(644\) −5617.70 23375.7i −0.343740 1.43033i
\(645\) −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 \(-0.283370\pi\)
0.629230 + 0.777219i \(0.283370\pi\)
\(648\) −421.538 + 1060.58i −0.0255549 + 0.0642958i
\(649\) 7914.57i 0.478696i
\(650\) −188.352 + 326.235i −0.0113658 + 0.0196862i
\(651\) −11403.8 4585.62i −0.686560 0.276075i
\(652\) 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 −0.978536 0.206076i \(-0.933930\pi\)
−0.310801 + 0.950475i \(0.600597\pi\)
\(662\) −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
\(672\) −1675.70 673.823i −0.0961929 0.0386805i
\(673\) −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 \(-0.464784\pi\)
0.805527 0.592559i \(-0.201882\pi\)
\(678\) 728.261 + 69.0839i 0.0412518 + 0.00391320i
\(679\) −5754.82 23946.2i −0.325257 1.35342i
\(680\) 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
\(686\) 611.447 113.763i 0.0340308 0.00633160i
\(687\) 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 0.207509 0.978233i \(-0.433464\pi\)
−0.743420 + 0.668824i \(0.766798\pi\)
\(692\) 6388.47 0.350944
\(693\) 863.881 + 18487.8i 0.0473537 + 1.01341i
\(694\) 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
\(700\) 20743.5 + 21849.0i 1.12004 + 1.17973i
\(701\) 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
\(707\) 16476.6 3959.70i 0.876472 0.210636i
\(708\) 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
\(714\) −82.9383 583.173i −0.00434718 0.0305668i
\(715\) −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 \(-0.0923620\pi\)
0.958197 + 0.286109i \(0.0923620\pi\)
\(720\) −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 0.454014 0.890995i \(-0.349992\pi\)
−0.544617 + 0.838685i \(0.683325\pi\)
\(728\) 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 0.377694 0.925931i \(-0.376717\pi\)
0.990726 + 0.135873i \(0.0433839\pi\)
\(734\) 149.986 + 259.783i 0.00754234 + 0.0130637i
\(735\) 30037.0 11897.0i 1.50739 0.597046i
\(736\) 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
\(742\) 338.116 81.2570i 0.0167286 0.00402027i
\(743\) 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
\(749\) −22649.4 + 21503.4i −1.10493 + 1.04902i
\(750\) −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
\(756\) −11229.6 + 17462.6i −0.540233 + 0.840091i
\(757\) −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 0.601077 0.799191i \(-0.294738\pi\)
−0.992658 + 0.120953i \(0.961405\pi\)
\(762\) −764.921 543.982i −0.0363651 0.0258614i
\(763\) 8177.07 + 8612.86i 0.387982 + 0.408658i
\(764\) 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 −0.471100 0.882080i \(-0.656143\pi\)
0.528353 + 0.849025i \(0.322810\pi\)
\(770\) 1182.86 284.268i 0.0553602 0.0133043i
\(771\) 4644.82 + 10154.0i 0.216964 + 0.474305i
\(772\) 1518.24 2629.67i 0.0707808 0.122596i
\(773\) −9575.08 −0.445526