Properties

Label 63.4.s.a.47.11
Level $63$
Weight $4$
Character 63.47
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.s (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 47.11
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.223110 + 0.128812i) q^{2} +(-3.39738 - 3.93164i) q^{3} +(-3.96681 + 6.87072i) q^{4} +6.38772 q^{5} +(1.26443 + 0.439563i) q^{6} +(-1.54394 + 18.4558i) q^{7} -4.10490i q^{8} +(-3.91563 + 26.7146i) q^{9} +O(q^{10})\) \(q+(-0.223110 + 0.128812i) q^{2} +(-3.39738 - 3.93164i) q^{3} +(-3.96681 + 6.87072i) q^{4} +6.38772 q^{5} +(1.26443 + 0.439563i) q^{6} +(-1.54394 + 18.4558i) q^{7} -4.10490i q^{8} +(-3.91563 + 26.7146i) q^{9} +(-1.42516 + 0.822818i) q^{10} +61.0818i q^{11} +(40.4900 - 7.74636i) q^{12} +(8.78677 - 5.07304i) q^{13} +(-2.03287 - 4.31654i) q^{14} +(-21.7015 - 25.1142i) q^{15} +(-31.2058 - 54.0500i) q^{16} +(22.5082 + 38.9853i) q^{17} +(-2.56755 - 6.46466i) q^{18} +(-69.6373 - 40.2051i) q^{19} +(-25.3389 + 43.8883i) q^{20} +(77.8069 - 56.6311i) q^{21} +(-7.86810 - 13.6279i) q^{22} -27.6800i q^{23} +(-16.1390 + 13.9459i) q^{24} -84.1970 q^{25} +(-1.30694 + 2.26369i) q^{26} +(118.335 - 75.3646i) q^{27} +(-120.680 - 83.8187i) q^{28} +(48.9383 + 28.2545i) q^{29} +(8.07685 + 2.80781i) q^{30} +(92.1526 + 53.2043i) q^{31} +(42.3642 + 24.4590i) q^{32} +(240.152 - 207.518i) q^{33} +(-10.0436 - 5.79867i) q^{34} +(-9.86226 + 117.890i) q^{35} +(-168.016 - 132.875i) q^{36} +(95.6403 - 165.654i) q^{37} +20.7157 q^{38} +(-49.7974 - 17.3114i) q^{39} -26.2210i q^{40} +(-15.0856 - 26.1289i) q^{41} +(-10.0647 + 22.6574i) q^{42} +(-185.062 + 320.536i) q^{43} +(-419.676 - 242.300i) q^{44} +(-25.0120 + 170.645i) q^{45} +(3.56553 + 6.17569i) q^{46} +(248.041 + 429.620i) q^{47} +(-106.487 + 306.318i) q^{48} +(-338.232 - 56.9893i) q^{49} +(18.7852 - 10.8456i) q^{50} +(76.8076 - 220.942i) q^{51} +80.4953i q^{52} +(601.424 - 347.232i) q^{53} +(-16.6938 + 32.0576i) q^{54} +390.174i q^{55} +(75.7592 + 6.33772i) q^{56} +(78.5122 + 410.381i) q^{57} -14.5581 q^{58} +(-317.670 + 550.221i) q^{59} +(258.639 - 49.4816i) q^{60} +(647.712 - 373.957i) q^{61} -27.4135 q^{62} +(-486.993 - 113.512i) q^{63} +486.690 q^{64} +(56.1274 - 32.4052i) q^{65} +(-26.8493 + 77.2338i) q^{66} +(-82.3930 + 142.709i) q^{67} -357.143 q^{68} +(-108.828 + 94.0396i) q^{69} +(-12.9854 - 27.5729i) q^{70} -278.490i q^{71} +(109.661 + 16.0733i) q^{72} +(-313.876 + 181.216i) q^{73} +49.2787i q^{74} +(286.049 + 331.033i) q^{75} +(552.477 - 318.973i) q^{76} +(-1127.31 - 94.3066i) q^{77} +(13.3402 - 2.55218i) q^{78} +(-278.740 - 482.792i) q^{79} +(-199.334 - 345.256i) q^{80} +(-698.336 - 209.209i) q^{81} +(6.73147 + 3.88641i) q^{82} +(514.684 - 891.459i) q^{83} +(80.4510 + 759.235i) q^{84} +(143.776 + 249.028i) q^{85} -95.3530i q^{86} +(-55.1752 - 288.399i) q^{87} +250.735 q^{88} +(730.130 - 1264.62i) q^{89} +(-16.4008 - 41.2945i) q^{90} +(80.0608 + 169.999i) q^{91} +(190.182 + 109.802i) q^{92} +(-103.897 - 543.066i) q^{93} +(-110.681 - 63.9015i) q^{94} +(-444.824 - 256.819i) q^{95} +(-47.7633 - 249.657i) q^{96} +(878.164 + 507.008i) q^{97} +(82.8039 - 30.8537i) q^{98} +(-1631.77 - 239.174i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} + O(q^{10}) \) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} - 6q^{10} - 3q^{12} + 36q^{13} + 129q^{14} - 141q^{15} - 263q^{16} + 72q^{17} - 15q^{18} - 6q^{19} - 24q^{20} - 306q^{21} + 14q^{22} - 66q^{24} + 698q^{25} + 96q^{26} - 432q^{27} - 156q^{28} - 132q^{29} + 852q^{30} + 177q^{31} - 501q^{32} + 849q^{33} - 24q^{34} - 765q^{35} + 1122q^{36} + 82q^{37} - 1746q^{38} - 645q^{39} - 618q^{41} - 963q^{42} + 82q^{43} - 603q^{44} + 303q^{45} + 266q^{46} - 201q^{47} + 1569q^{48} + 515q^{49} - 1845q^{50} + 417q^{51} - 564q^{53} - 684q^{54} + 3600q^{56} + 1170q^{57} - 538q^{58} + 747q^{59} - 516q^{60} - 1209q^{61} + 2904q^{62} + 1557q^{63} - 1144q^{64} - 831q^{65} + 1029q^{66} + 295q^{67} + 7008q^{68} + 1005q^{69} - 390q^{70} - 1119q^{72} - 6q^{73} - 1788q^{75} + 144q^{76} - 1203q^{77} - 5985q^{78} - 551q^{79} + 4239q^{80} + 3741q^{81} + 18q^{82} - 1830q^{83} - 7725q^{84} - 237q^{85} - 2130q^{87} + 1246q^{88} - 4266q^{89} - 9993q^{90} - 1140q^{91} + 7896q^{92} - 1479q^{93} - 3q^{94} - 1053q^{95} + 5034q^{96} + 792q^{97} - 5667q^{98} + 4335q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.223110 + 0.128812i −0.0788812 + 0.0455421i −0.538922 0.842356i \(-0.681168\pi\)
0.460041 + 0.887898i \(0.347835\pi\)
\(3\) −3.39738 3.93164i −0.653826 0.756645i
\(4\) −3.96681 + 6.87072i −0.495852 + 0.858841i
\(5\) 6.38772 0.571335 0.285668 0.958329i \(-0.407785\pi\)
0.285668 + 0.958329i \(0.407785\pi\)
\(6\) 1.26443 + 0.439563i 0.0860337 + 0.0299085i
\(7\) −1.54394 + 18.4558i −0.0833649 + 0.996519i
\(8\) 4.10490i 0.181413i
\(9\) −3.91563 + 26.7146i −0.145023 + 0.989428i
\(10\) −1.42516 + 0.822818i −0.0450676 + 0.0260198i
\(11\) 61.0818i 1.67426i 0.547004 + 0.837130i \(0.315768\pi\)
−0.547004 + 0.837130i \(0.684232\pi\)
\(12\) 40.4900 7.74636i 0.974038 0.186348i
\(13\) 8.78677 5.07304i 0.187462 0.108231i −0.403332 0.915054i \(-0.632148\pi\)
0.590794 + 0.806822i \(0.298815\pi\)
\(14\) −2.03287 4.31654i −0.0388076 0.0824032i
\(15\) −21.7015 25.1142i −0.373554 0.432298i
\(16\) −31.2058 54.0500i −0.487590 0.844531i
\(17\) 22.5082 + 38.9853i 0.321120 + 0.556196i 0.980719 0.195421i \(-0.0626074\pi\)
−0.659599 + 0.751617i \(0.729274\pi\)
\(18\) −2.56755 6.46466i −0.0336210 0.0846519i
\(19\) −69.6373 40.2051i −0.840837 0.485457i 0.0167118 0.999860i \(-0.494680\pi\)
−0.857549 + 0.514403i \(0.828014\pi\)
\(20\) −25.3389 + 43.8883i −0.283298 + 0.490686i
\(21\) 77.8069 56.6311i 0.808517 0.588472i
\(22\) −7.86810 13.6279i −0.0762493 0.132068i
\(23\) 27.6800i 0.250943i −0.992097 0.125471i \(-0.959956\pi\)
0.992097 0.125471i \(-0.0400444\pi\)
\(24\) −16.1390 + 13.9459i −0.137265 + 0.118612i
\(25\) −84.1970 −0.673576
\(26\) −1.30694 + 2.26369i −0.00985817 + 0.0170749i
\(27\) 118.335 75.3646i 0.843466 0.537183i
\(28\) −120.680 83.8187i −0.814514 0.565723i
\(29\) 48.9383 + 28.2545i 0.313366 + 0.180922i 0.648432 0.761273i \(-0.275425\pi\)
−0.335066 + 0.942195i \(0.608759\pi\)
\(30\) 8.07685 + 2.80781i 0.0491541 + 0.0170878i
\(31\) 92.1526 + 53.2043i 0.533906 + 0.308251i 0.742606 0.669729i \(-0.233590\pi\)
−0.208699 + 0.977980i \(0.566923\pi\)
\(32\) 42.3642 + 24.4590i 0.234031 + 0.135118i
\(33\) 240.152 207.518i 1.26682 1.09467i
\(34\) −10.0436 5.79867i −0.0506607 0.0292489i
\(35\) −9.86226 + 117.890i −0.0476293 + 0.569347i
\(36\) −168.016 132.875i −0.777851 0.615162i
\(37\) 95.6403 165.654i 0.424951 0.736036i −0.571465 0.820626i \(-0.693625\pi\)
0.996416 + 0.0845902i \(0.0269581\pi\)
\(38\) 20.7157 0.0884349
\(39\) −49.7974 17.3114i −0.204461 0.0710779i
\(40\) 26.2210i 0.103647i
\(41\) −15.0856 26.1289i −0.0574626 0.0995282i 0.835863 0.548938i \(-0.184968\pi\)
−0.893326 + 0.449410i \(0.851634\pi\)
\(42\) −10.0647 + 22.6574i −0.0369766 + 0.0832410i
\(43\) −185.062 + 320.536i −0.656317 + 1.13678i 0.325244 + 0.945630i \(0.394553\pi\)
−0.981562 + 0.191145i \(0.938780\pi\)
\(44\) −419.676 242.300i −1.43792 0.830185i
\(45\) −25.0120 + 170.645i −0.0828569 + 0.565295i
\(46\) 3.56553 + 6.17569i 0.0114285 + 0.0197947i
\(47\) 248.041 + 429.620i 0.769798 + 1.33333i 0.937672 + 0.347521i \(0.112976\pi\)
−0.167874 + 0.985808i \(0.553690\pi\)
\(48\) −106.487 + 306.318i −0.320211 + 0.921108i
\(49\) −338.232 56.9893i −0.986101 0.166149i
\(50\) 18.7852 10.8456i 0.0531325 0.0306760i
\(51\) 76.8076 220.942i 0.210886 0.606629i
\(52\) 80.4953i 0.214667i
\(53\) 601.424 347.232i 1.55871 0.899924i 0.561335 0.827589i \(-0.310288\pi\)
0.997380 0.0723355i \(-0.0230452\pi\)
\(54\) −16.6938 + 32.0576i −0.0420692 + 0.0807868i
\(55\) 390.174i 0.956564i
\(56\) 75.7592 + 6.33772i 0.180781 + 0.0151235i
\(57\) 78.5122 + 410.381i 0.182442 + 0.953620i
\(58\) −14.5581 −0.0329582
\(59\) −317.670 + 550.221i −0.700968 + 1.21411i 0.267159 + 0.963653i \(0.413915\pi\)
−0.968127 + 0.250460i \(0.919418\pi\)
\(60\) 258.639 49.4816i 0.556502 0.106467i
\(61\) 647.712 373.957i 1.35952 0.784922i 0.369965 0.929046i \(-0.379370\pi\)
0.989560 + 0.144124i \(0.0460363\pi\)
\(62\) −27.4135 −0.0561536
\(63\) −486.993 113.512i −0.973894 0.227002i
\(64\) 486.690 0.950566
\(65\) 56.1274 32.4052i 0.107104 0.0618365i
\(66\) −26.8493 + 77.2338i −0.0500745 + 0.144043i
\(67\) −82.3930 + 142.709i −0.150237 + 0.260219i −0.931315 0.364216i \(-0.881337\pi\)
0.781077 + 0.624434i \(0.214670\pi\)
\(68\) −357.143 −0.636912
\(69\) −108.828 + 94.0396i −0.189875 + 0.164073i
\(70\) −12.9854 27.5729i −0.0221722 0.0470799i
\(71\) 278.490i 0.465502i −0.972536 0.232751i \(-0.925227\pi\)
0.972536 0.232751i \(-0.0747728\pi\)
\(72\) 109.661 + 16.0733i 0.179495 + 0.0263091i
\(73\) −313.876 + 181.216i −0.503238 + 0.290545i −0.730050 0.683394i \(-0.760503\pi\)
0.226812 + 0.973939i \(0.427170\pi\)
\(74\) 49.2787i 0.0774125i
\(75\) 286.049 + 331.033i 0.440401 + 0.509658i
\(76\) 552.477 318.973i 0.833861 0.481430i
\(77\) −1127.31 94.3066i −1.66843 0.139575i
\(78\) 13.3402 2.55218i 0.0193651 0.00370485i
\(79\) −278.740 482.792i −0.396971 0.687574i 0.596380 0.802702i \(-0.296605\pi\)
−0.993351 + 0.115129i \(0.963272\pi\)
\(80\) −199.334 345.256i −0.278577 0.482510i
\(81\) −698.336 209.209i −0.957936 0.286980i
\(82\) 6.73147 + 3.88641i 0.00906544 + 0.00523393i
\(83\) 514.684 891.459i 0.680650 1.17892i −0.294133 0.955765i \(-0.595031\pi\)
0.974783 0.223156i \(-0.0716358\pi\)
\(84\) 80.4510 + 759.235i 0.104499 + 0.986183i
\(85\) 143.776 + 249.028i 0.183467 + 0.317775i
\(86\) 95.3530i 0.119560i
\(87\) −55.1752 288.399i −0.0679931 0.355398i
\(88\) 250.735 0.303732
\(89\) 730.130 1264.62i 0.869591 1.50618i 0.00717569 0.999974i \(-0.497716\pi\)
0.862415 0.506201i \(-0.168951\pi\)
\(90\) −16.4008 41.2945i −0.0192089 0.0483646i
\(91\) 80.0608 + 169.999i 0.0922269 + 0.195833i
\(92\) 190.182 + 109.802i 0.215520 + 0.124431i
\(93\) −103.897 543.066i −0.115845 0.605520i
\(94\) −110.681 63.9015i −0.121445 0.0701164i
\(95\) −444.824 256.819i −0.480400 0.277359i
\(96\) −47.7633 249.657i −0.0507793 0.265422i
\(97\) 878.164 + 507.008i 0.919217 + 0.530710i 0.883385 0.468647i \(-0.155259\pi\)
0.0358320 + 0.999358i \(0.488592\pi\)
\(98\) 82.8039 30.8537i 0.0853516 0.0318030i
\(99\) −1631.77 239.174i −1.65656 0.242807i
\(100\) 333.994 578.494i 0.333994 0.578494i
\(101\) 143.704 0.141575 0.0707875 0.997491i \(-0.477449\pi\)
0.0707875 + 0.997491i \(0.477449\pi\)
\(102\) 11.3236 + 59.1881i 0.0109922 + 0.0574559i
\(103\) 546.960i 0.523239i 0.965171 + 0.261619i \(0.0842565\pi\)
−0.965171 + 0.261619i \(0.915744\pi\)
\(104\) −20.8243 36.0688i −0.0196346 0.0340080i
\(105\) 497.009 361.744i 0.461934 0.336215i
\(106\) −89.4556 + 154.942i −0.0819689 + 0.141974i
\(107\) 1153.06 + 665.722i 1.04178 + 0.601475i 0.920338 0.391123i \(-0.127913\pi\)
0.121447 + 0.992598i \(0.461247\pi\)
\(108\) 48.3967 + 1112.00i 0.0431201 + 0.990766i
\(109\) 527.013 + 912.813i 0.463107 + 0.802125i 0.999114 0.0420888i \(-0.0134013\pi\)
−0.536007 + 0.844214i \(0.680068\pi\)
\(110\) −50.2592 87.0515i −0.0435639 0.0754549i
\(111\) −976.219 + 186.766i −0.834762 + 0.159703i
\(112\) 1045.71 492.477i 0.882239 0.415488i
\(113\) 804.987 464.760i 0.670149 0.386911i −0.125984 0.992032i \(-0.540209\pi\)
0.796133 + 0.605122i \(0.206875\pi\)
\(114\) −70.3790 81.4467i −0.0578211 0.0669139i
\(115\) 176.812i 0.143373i
\(116\) −388.258 + 224.161i −0.310766 + 0.179421i
\(117\) 101.118 + 254.599i 0.0799008 + 0.201177i
\(118\) 163.679i 0.127694i
\(119\) −754.257 + 355.216i −0.581030 + 0.273635i
\(120\) −103.091 + 89.0825i −0.0784243 + 0.0677674i
\(121\) −2399.99 −1.80315
\(122\) −96.3405 + 166.867i −0.0714940 + 0.123831i
\(123\) −51.4783 + 148.081i −0.0377369 + 0.108553i
\(124\) −731.105 + 422.103i −0.529477 + 0.305694i
\(125\) −1336.29 −0.956173
\(126\) 123.275 37.4052i 0.0871601 0.0264470i
\(127\) −1387.22 −0.969259 −0.484629 0.874720i \(-0.661046\pi\)
−0.484629 + 0.874720i \(0.661046\pi\)
\(128\) −447.499 + 258.363i −0.309013 + 0.178409i
\(129\) 1888.96 361.387i 1.28925 0.246654i
\(130\) −8.34838 + 14.4598i −0.00563232 + 0.00975547i
\(131\) 392.756 0.261949 0.130974 0.991386i \(-0.458189\pi\)
0.130974 + 0.991386i \(0.458189\pi\)
\(132\) 473.162 + 2473.20i 0.311996 + 1.63079i
\(133\) 849.533 1223.14i 0.553864 0.797440i
\(134\) 42.4530i 0.0273685i
\(135\) 755.891 481.408i 0.481902 0.306911i
\(136\) 160.031 92.3939i 0.100901 0.0582552i
\(137\) 2081.76i 1.29822i 0.760693 + 0.649112i \(0.224859\pi\)
−0.760693 + 0.649112i \(0.775141\pi\)
\(138\) 12.1671 34.9995i 0.00750532 0.0215896i
\(139\) 1088.49 628.441i 0.664206 0.383479i −0.129672 0.991557i \(-0.541392\pi\)
0.793878 + 0.608078i \(0.208059\pi\)
\(140\) −770.871 535.411i −0.465361 0.323218i
\(141\) 846.422 2434.79i 0.505543 1.45423i
\(142\) 35.8730 + 62.1338i 0.0211999 + 0.0367194i
\(143\) 309.871 + 536.712i 0.181208 + 0.313861i
\(144\) 1566.11 622.008i 0.906314 0.359959i
\(145\) 312.604 + 180.482i 0.179037 + 0.103367i
\(146\) 46.6858 80.8622i 0.0264640 0.0458370i
\(147\) 925.043 + 1523.42i 0.519022 + 0.854761i
\(148\) 758.775 + 1314.24i 0.421425 + 0.729930i
\(149\) 3007.64i 1.65366i 0.562453 + 0.826830i \(0.309858\pi\)
−0.562453 + 0.826830i \(0.690142\pi\)
\(150\) −106.461 37.0099i −0.0579503 0.0201456i
\(151\) −2870.22 −1.54686 −0.773428 0.633884i \(-0.781460\pi\)
−0.773428 + 0.633884i \(0.781460\pi\)
\(152\) −165.038 + 285.854i −0.0880681 + 0.152538i
\(153\) −1129.61 + 448.645i −0.596886 + 0.237064i
\(154\) 263.662 124.171i 0.137964 0.0649740i
\(155\) 588.645 + 339.855i 0.305040 + 0.176115i
\(156\) 316.479 273.473i 0.162427 0.140355i
\(157\) −794.753 458.851i −0.404001 0.233250i 0.284208 0.958763i \(-0.408269\pi\)
−0.688209 + 0.725512i \(0.741603\pi\)
\(158\) 124.379 + 71.8103i 0.0626271 + 0.0361577i
\(159\) −3408.46 1184.90i −1.70005 0.591000i
\(160\) 270.611 + 156.237i 0.133710 + 0.0771977i
\(161\) 510.857 + 42.7363i 0.250069 + 0.0209198i
\(162\) 182.754 43.2778i 0.0886328 0.0209891i
\(163\) −806.536 + 1396.96i −0.387563 + 0.671279i −0.992121 0.125282i \(-0.960016\pi\)
0.604558 + 0.796561i \(0.293350\pi\)
\(164\) 239.366 0.113972
\(165\) 1534.02 1325.57i 0.723779 0.625426i
\(166\) 265.191i 0.123993i
\(167\) −922.384 1597.62i −0.427402 0.740282i 0.569239 0.822172i \(-0.307238\pi\)
−0.996641 + 0.0818896i \(0.973905\pi\)
\(168\) −232.465 319.390i −0.106756 0.146675i
\(169\) −1047.03 + 1813.51i −0.476572 + 0.825447i
\(170\) −64.1557 37.0403i −0.0289442 0.0167110i
\(171\) 1346.74 1702.90i 0.602266 0.761545i
\(172\) −1468.21 2543.02i −0.650872 1.12734i
\(173\) 1002.90 + 1737.08i 0.440747 + 0.763396i 0.997745 0.0671176i \(-0.0213803\pi\)
−0.556998 + 0.830514i \(0.688047\pi\)
\(174\) 49.4595 + 57.2374i 0.0215489 + 0.0249377i
\(175\) 129.995 1553.92i 0.0561526 0.671231i
\(176\) 3301.47 1906.10i 1.41396 0.816352i
\(177\) 3242.52 620.343i 1.37696 0.263434i
\(178\) 376.199i 0.158412i
\(179\) 1424.92 822.678i 0.594992 0.343519i −0.172077 0.985083i \(-0.555048\pi\)
0.767069 + 0.641565i \(0.221714\pi\)
\(180\) −1073.24 848.768i −0.444414 0.351464i
\(181\) 3394.40i 1.39394i −0.717099 0.696971i \(-0.754531\pi\)
0.717099 0.696971i \(-0.245469\pi\)
\(182\) −39.7604 27.6157i −0.0161936 0.0112473i
\(183\) −3670.79 1276.10i −1.48280 0.515475i
\(184\) −113.624 −0.0455242
\(185\) 610.924 1058.15i 0.242789 0.420523i
\(186\) 93.1341 + 107.780i 0.0367146 + 0.0424883i
\(187\) −2381.30 + 1374.84i −0.931217 + 0.537638i
\(188\) −3935.73 −1.52682
\(189\) 1208.21 + 2300.32i 0.464997 + 0.885312i
\(190\) 132.326 0.0505260
\(191\) 98.1081 56.6427i 0.0371668 0.0214582i −0.481301 0.876555i \(-0.659836\pi\)
0.518468 + 0.855097i \(0.326502\pi\)
\(192\) −1653.47 1913.49i −0.621504 0.719241i
\(193\) 437.900 758.465i 0.163320 0.282878i −0.772737 0.634726i \(-0.781113\pi\)
0.936057 + 0.351847i \(0.114446\pi\)
\(194\) −261.236 −0.0966786
\(195\) −318.092 110.580i −0.116816 0.0406093i
\(196\) 1733.26 2097.84i 0.631656 0.764518i
\(197\) 1004.09i 0.363140i 0.983378 + 0.181570i \(0.0581179\pi\)
−0.983378 + 0.181570i \(0.941882\pi\)
\(198\) 394.873 156.831i 0.141729 0.0562903i
\(199\) 1451.86 838.230i 0.517183 0.298596i −0.218598 0.975815i \(-0.570148\pi\)
0.735781 + 0.677219i \(0.236815\pi\)
\(200\) 345.620i 0.122195i
\(201\) 841.000 160.896i 0.295122 0.0564614i
\(202\) −32.0618 + 18.5109i −0.0111676 + 0.00644762i
\(203\) −597.017 + 859.571i −0.206416 + 0.297192i
\(204\) 1213.35 + 1404.16i 0.416429 + 0.481916i
\(205\) −96.3623 166.904i −0.0328304 0.0568640i
\(206\) −70.4553 122.032i −0.0238294 0.0412737i
\(207\) 739.460 + 108.385i 0.248290 + 0.0363926i
\(208\) −548.396 316.616i −0.182810 0.105545i
\(209\) 2455.80 4253.57i 0.812782 1.40778i
\(210\) −64.2904 + 144.729i −0.0211260 + 0.0475585i
\(211\) 1528.10 + 2646.75i 0.498572 + 0.863552i 0.999999 0.00164804i \(-0.000524587\pi\)
−0.501427 + 0.865200i \(0.667191\pi\)
\(212\) 5509.62i 1.78492i
\(213\) −1094.92 + 946.136i −0.352220 + 0.304358i
\(214\) −343.013 −0.109570
\(215\) −1182.12 + 2047.50i −0.374977 + 0.649480i
\(216\) −309.364 485.753i −0.0974517 0.153015i
\(217\) −1124.21 + 1618.60i −0.351687 + 0.506351i
\(218\) −235.163 135.772i −0.0730608 0.0421817i
\(219\) 1778.83 + 618.387i 0.548869 + 0.190807i
\(220\) −2680.78 1547.75i −0.821536 0.474314i
\(221\) 395.549 + 228.370i 0.120396 + 0.0695106i
\(222\) 193.746 167.418i 0.0585738 0.0506143i
\(223\) 3580.72 + 2067.33i 1.07526 + 0.620801i 0.929613 0.368536i \(-0.120141\pi\)
0.145645 + 0.989337i \(0.453474\pi\)
\(224\) −516.818 + 744.101i −0.154158 + 0.221953i
\(225\) 329.684 2249.29i 0.0976842 0.666455i
\(226\) −119.734 + 207.385i −0.0352414 + 0.0610400i
\(227\) −4441.16 −1.29855 −0.649274 0.760555i \(-0.724927\pi\)
−0.649274 + 0.760555i \(0.724927\pi\)
\(228\) −3131.06 1088.47i −0.909471 0.316165i
\(229\) 1299.87i 0.375099i 0.982255 + 0.187549i \(0.0600545\pi\)
−0.982255 + 0.187549i \(0.939946\pi\)
\(230\) 22.7756 + 39.4486i 0.00652948 + 0.0113094i
\(231\) 3459.13 + 4752.59i 0.985256 + 1.35367i
\(232\) 115.982 200.887i 0.0328215 0.0568485i
\(233\) 1741.16 + 1005.26i 0.489559 + 0.282647i 0.724392 0.689389i \(-0.242121\pi\)
−0.234832 + 0.972036i \(0.575454\pi\)
\(234\) −55.3560 43.7782i −0.0154647 0.0122302i
\(235\) 1584.42 + 2744.29i 0.439813 + 0.761778i
\(236\) −2520.28 4365.25i −0.695153 1.20404i
\(237\) −951.179 + 2736.13i −0.260699 + 0.749919i
\(238\) 122.526 176.410i 0.0333705 0.0480460i
\(239\) 4499.21 2597.62i 1.21770 0.703038i 0.253273 0.967395i \(-0.418493\pi\)
0.964425 + 0.264356i \(0.0851595\pi\)
\(240\) −680.212 + 1956.67i −0.182948 + 0.526262i
\(241\) 6739.77i 1.80144i −0.434402 0.900719i \(-0.643040\pi\)
0.434402 0.900719i \(-0.356960\pi\)
\(242\) 535.460 309.148i 0.142234 0.0821190i
\(243\) 1549.98 + 3456.37i 0.409181 + 0.912453i
\(244\) 5933.67i 1.55682i
\(245\) −2160.54 364.032i −0.563394 0.0949271i
\(246\) −7.58935 39.6693i −0.00196699 0.0102814i
\(247\) −815.849 −0.210167
\(248\) 218.398 378.277i 0.0559206 0.0968574i
\(249\) −5253.48 + 1005.07i −1.33705 + 0.255798i
\(250\) 298.140 172.131i 0.0754241 0.0435461i
\(251\) −1818.28 −0.457246 −0.228623 0.973515i \(-0.573422\pi\)
−0.228623 + 0.973515i \(0.573422\pi\)
\(252\) 2711.72 2895.71i 0.677866 0.723860i
\(253\) 1690.75 0.420144
\(254\) 309.502 178.691i 0.0764563 0.0441421i
\(255\) 490.625 1411.32i 0.120487 0.346589i
\(256\) −1880.20 + 3256.60i −0.459033 + 0.795068i
\(257\) −464.053 −0.112634 −0.0563168 0.998413i \(-0.517936\pi\)
−0.0563168 + 0.998413i \(0.517936\pi\)
\(258\) −374.894 + 323.950i −0.0904647 + 0.0781716i
\(259\) 2909.61 + 2020.88i 0.698048 + 0.484831i
\(260\) 514.182i 0.122647i
\(261\) −946.431 + 1196.73i −0.224454 + 0.283815i
\(262\) −87.6278 + 50.5919i −0.0206628 + 0.0119297i
\(263\) 376.510i 0.0882759i −0.999025 0.0441380i \(-0.985946\pi\)
0.999025 0.0441380i \(-0.0140541\pi\)
\(264\) −851.841 985.799i −0.198588 0.229817i
\(265\) 3841.73 2218.02i 0.890549 0.514159i
\(266\) −31.9838 + 382.324i −0.00737237 + 0.0881271i
\(267\) −7452.57 + 1425.79i −1.70820 + 0.326805i
\(268\) −653.675 1132.20i −0.148991 0.258060i
\(269\) 1998.09 + 3460.80i 0.452885 + 0.784419i 0.998564 0.0535750i \(-0.0170616\pi\)
−0.545679 + 0.837994i \(0.683728\pi\)
\(270\) −106.635 + 204.775i −0.0240356 + 0.0461563i
\(271\) −729.622 421.248i −0.163548 0.0944242i 0.415992 0.909368i \(-0.363434\pi\)
−0.579540 + 0.814944i \(0.696768\pi\)
\(272\) 1404.77 2433.13i 0.313150 0.542391i
\(273\) 396.379 892.322i 0.0878754 0.197823i
\(274\) −268.157 464.461i −0.0591238 0.102405i
\(275\) 5142.90i 1.12774i
\(276\) −214.420 1120.77i −0.0467628 0.244428i
\(277\) 4166.18 0.903687 0.451844 0.892097i \(-0.350766\pi\)
0.451844 + 0.892097i \(0.350766\pi\)
\(278\) −161.902 + 280.422i −0.0349289 + 0.0604986i
\(279\) −1782.17 + 2253.49i −0.382421 + 0.483558i
\(280\) 483.929 + 40.4836i 0.103287 + 0.00864056i
\(281\) −4478.35 2585.58i −0.950733 0.548906i −0.0574244 0.998350i \(-0.518289\pi\)
−0.893309 + 0.449444i \(0.851622\pi\)
\(282\) 124.786 + 652.255i 0.0263508 + 0.137735i
\(283\) 5213.04 + 3009.75i 1.09499 + 0.632195i 0.934901 0.354907i \(-0.115488\pi\)
0.160092 + 0.987102i \(0.448821\pi\)
\(284\) 1913.43 + 1104.72i 0.399792 + 0.230820i
\(285\) 501.514 + 2621.40i 0.104236 + 0.544836i
\(286\) −138.270 79.8304i −0.0285877 0.0165051i
\(287\) 505.521 238.074i 0.103972 0.0489654i
\(288\) −819.293 + 1035.97i −0.167630 + 0.211962i
\(289\) 1443.26 2499.80i 0.293764 0.508814i
\(290\) −92.9933 −0.0188302
\(291\) −990.081 5175.13i −0.199449 1.04251i
\(292\) 2875.40i 0.576268i
\(293\) −2243.89 3886.53i −0.447404 0.774926i 0.550812 0.834629i \(-0.314318\pi\)
−0.998216 + 0.0597027i \(0.980985\pi\)
\(294\) −402.622 220.734i −0.0798687 0.0437872i
\(295\) −2029.19 + 3514.66i −0.400488 + 0.693665i
\(296\) −679.993 392.594i −0.133526 0.0770914i
\(297\) 4603.41 + 7228.12i 0.899383 + 1.41218i
\(298\) −387.421 671.033i −0.0753111 0.130443i
\(299\) −140.422 243.218i −0.0271599 0.0470424i
\(300\) −3409.14 + 652.220i −0.656089 + 0.125520i
\(301\) −5630.03 3910.35i −1.07810 0.748800i
\(302\) 640.374 369.720i 0.122018 0.0704471i
\(303\) −488.217 564.993i −0.0925655 0.107122i
\(304\) 5018.53i 0.946816i
\(305\) 4137.40 2388.73i 0.776744 0.448454i
\(306\) 194.236 245.605i 0.0362867 0.0458833i
\(307\) 263.461i 0.0489789i −0.999700 0.0244895i \(-0.992204\pi\)
0.999700 0.0244895i \(-0.00779602\pi\)
\(308\) 5119.80 7371.36i 0.947167 1.36371i
\(309\) 2150.45 1858.23i 0.395906 0.342107i
\(310\) −175.110 −0.0320825
\(311\) 2426.23 4202.36i 0.442377 0.766219i −0.555489 0.831524i \(-0.687469\pi\)
0.997865 + 0.0653054i \(0.0208021\pi\)
\(312\) −71.0615 + 204.413i −0.0128944 + 0.0370917i
\(313\) 2371.65 1369.27i 0.428286 0.247271i −0.270330 0.962768i \(-0.587133\pi\)
0.698616 + 0.715497i \(0.253800\pi\)
\(314\) 236.423 0.0424908
\(315\) −3110.78 725.081i −0.556420 0.129694i
\(316\) 4422.84 0.787355
\(317\) −6423.47 + 3708.59i −1.13810 + 0.657083i −0.945959 0.324285i \(-0.894876\pi\)
−0.192141 + 0.981367i \(0.561543\pi\)
\(318\) 913.090 174.688i 0.161017 0.0308051i
\(319\) −1725.84 + 2989.24i −0.302910 + 0.524656i
\(320\) 3108.84 0.543092
\(321\) −1300.02 6795.15i −0.226043 1.18152i
\(322\) −119.482 + 56.2699i −0.0206785 + 0.00973850i
\(323\) 3619.78i 0.623560i
\(324\) 4207.58 3968.18i 0.721465 0.680415i
\(325\) −739.820 + 427.135i −0.126270 + 0.0729021i
\(326\) 415.568i 0.0706017i
\(327\) 1798.39 5173.20i 0.304132 0.874857i
\(328\) −107.257 + 61.9247i −0.0180557 + 0.0104244i
\(329\) −8311.93 + 3914.49i −1.39286 + 0.655966i
\(330\) −171.506 + 493.348i −0.0286094 + 0.0822968i
\(331\) −2086.06 3613.16i −0.346406 0.599992i 0.639203 0.769038i \(-0.279265\pi\)
−0.985608 + 0.169046i \(0.945931\pi\)
\(332\) 4083.31 + 7072.51i 0.675003 + 1.16914i
\(333\) 4050.88 + 3203.63i 0.666627 + 0.527201i
\(334\) 411.585 + 237.629i 0.0674280 + 0.0389296i
\(335\) −526.303 + 911.584i −0.0858359 + 0.148672i
\(336\) −5488.93 2438.24i −0.891208 0.395884i
\(337\) −528.671 915.685i −0.0854556 0.148013i 0.820130 0.572178i \(-0.193901\pi\)
−0.905585 + 0.424164i \(0.860568\pi\)
\(338\) 539.481i 0.0868163i
\(339\) −4562.12 1585.96i −0.730915 0.254093i
\(340\) −2281.33 −0.363890
\(341\) −3249.82 + 5628.85i −0.516092 + 0.893898i
\(342\) −81.1149 + 553.410i −0.0128251 + 0.0875000i
\(343\) 1573.99 6154.36i 0.247777 0.968817i
\(344\) 1315.77 + 759.660i 0.206225 + 0.119064i
\(345\) −695.163 + 600.699i −0.108482 + 0.0937407i
\(346\) −447.514 258.373i −0.0695333 0.0401451i
\(347\) −4140.17 2390.33i −0.640507 0.369797i 0.144303 0.989534i \(-0.453906\pi\)
−0.784810 + 0.619736i \(0.787239\pi\)
\(348\) 2200.38 + 764.932i 0.338945 + 0.117830i
\(349\) −2180.04 1258.65i −0.334370 0.193048i 0.323410 0.946259i \(-0.395171\pi\)
−0.657780 + 0.753211i \(0.728504\pi\)
\(350\) 171.161 + 363.440i 0.0261399 + 0.0555048i
\(351\) 657.454 1262.53i 0.0999781 0.191991i
\(352\) −1494.00 + 2587.68i −0.226223 + 0.391829i
\(353\) −6005.81 −0.905544 −0.452772 0.891626i \(-0.649565\pi\)
−0.452772 + 0.891626i \(0.649565\pi\)
\(354\) −643.529 + 556.081i −0.0966192 + 0.0834898i
\(355\) 1778.92i 0.265958i
\(356\) 5792.58 + 10033.0i 0.862377 + 1.49368i
\(357\) 3959.08 + 1758.67i 0.586937 + 0.260724i
\(358\) −211.942 + 367.095i −0.0312891 + 0.0541943i
\(359\) −5772.63 3332.83i −0.848656 0.489972i 0.0115408 0.999933i \(-0.496326\pi\)
−0.860197 + 0.509961i \(0.829660\pi\)
\(360\) 700.481 + 102.672i 0.102552 + 0.0150313i
\(361\) −196.595 340.513i −0.0286624 0.0496447i
\(362\) 437.241 + 757.323i 0.0634830 + 0.109956i
\(363\) 8153.67 + 9435.89i 1.17894 + 1.36434i
\(364\) −1485.60 124.280i −0.213920 0.0178957i
\(365\) −2004.95 + 1157.56i −0.287518 + 0.165998i
\(366\) 983.366 188.133i 0.140441 0.0268685i
\(367\) 1609.91i 0.228982i 0.993424 + 0.114491i \(0.0365237\pi\)
−0.993424 + 0.114491i \(0.963476\pi\)
\(368\) −1496.10 + 863.777i −0.211929 + 0.122357i
\(369\) 757.093 300.693i 0.106809 0.0424212i
\(370\) 314.778i 0.0442285i
\(371\) 5479.88 + 11635.9i 0.766850 + 1.62831i
\(372\) 4143.40 + 1440.40i 0.577487 + 0.200756i
\(373\) 5211.06 0.723373 0.361687 0.932300i \(-0.382201\pi\)
0.361687 + 0.932300i \(0.382201\pi\)
\(374\) 354.193 613.481i 0.0489703 0.0848191i
\(375\) 4539.89 + 5253.82i 0.625171 + 0.723484i
\(376\) 1763.55 1018.18i 0.241883 0.139651i
\(377\) 573.346 0.0783257
\(378\) −565.874 357.592i −0.0769985 0.0486575i
\(379\) −9946.69 −1.34809 −0.674046 0.738689i \(-0.735445\pi\)
−0.674046 + 0.738689i \(0.735445\pi\)
\(380\) 3529.07 2037.51i 0.476414 0.275058i
\(381\) 4712.91 + 5454.05i 0.633727 + 0.733385i
\(382\) −14.5926 + 25.2751i −0.00195451 + 0.00338530i
\(383\) 14449.0 1.92770 0.963848 0.266452i \(-0.0858513\pi\)
0.963848 + 0.266452i \(0.0858513\pi\)
\(384\) 2536.12 + 881.646i 0.337033 + 0.117165i
\(385\) −7200.96 602.405i −0.953234 0.0797439i
\(386\) 225.628i 0.0297517i
\(387\) −7838.36 6198.95i −1.02958 0.814238i
\(388\) −6967.03 + 4022.42i −0.911591 + 0.526307i
\(389\) 9079.32i 1.18339i 0.806161 + 0.591696i \(0.201542\pi\)
−0.806161 + 0.591696i \(0.798458\pi\)
\(390\) 85.2135 16.3026i 0.0110640 0.00211671i
\(391\) 1079.12 623.028i 0.139574 0.0805828i
\(392\) −233.935 + 1388.41i −0.0301416 + 0.178891i
\(393\) −1334.34 1544.18i −0.171269 0.198202i
\(394\) −129.340 224.023i −0.0165381 0.0286449i
\(395\) −1780.51 3083.94i −0.226803 0.392835i
\(396\) 8116.24 10262.7i 1.02994 1.30232i
\(397\) 1879.14 + 1084.92i 0.237559 + 0.137155i 0.614055 0.789264i \(-0.289537\pi\)
−0.376495 + 0.926419i \(0.622871\pi\)
\(398\) −215.949 + 374.035i −0.0271973 + 0.0471072i
\(399\) −7695.13 + 815.401i −0.965509 + 0.102309i
\(400\) 2627.43 + 4550.84i 0.328429 + 0.568855i
\(401\) 301.096i 0.0374963i 0.999824 + 0.0187482i \(0.00596808\pi\)
−0.999824 + 0.0187482i \(0.994032\pi\)
\(402\) −166.910 + 144.229i −0.0207082 + 0.0178942i
\(403\) 1079.63 0.133450
\(404\) −570.047 + 987.351i −0.0702003 + 0.121590i
\(405\) −4460.77 1336.37i −0.547303 0.163962i
\(406\) 22.4769 268.682i 0.00274756 0.0328435i
\(407\) 10118.4 + 5841.88i 1.23232 + 0.711478i
\(408\) −906.946 315.287i −0.110050 0.0382575i
\(409\) −3938.78 2274.06i −0.476186 0.274926i 0.242639 0.970117i \(-0.421987\pi\)
−0.718826 + 0.695190i \(0.755320\pi\)
\(410\) 42.9987 + 24.8253i 0.00517941 + 0.00299033i
\(411\) 8184.74 7072.53i 0.982295 0.848813i
\(412\) −3758.01 2169.69i −0.449379 0.259449i
\(413\) −9664.29 6712.36i −1.15145 0.799743i
\(414\) −178.942 + 71.0700i −0.0212428 + 0.00843695i
\(415\) 3287.66 5694.40i 0.388879 0.673559i
\(416\) 496.326 0.0584961
\(417\) −6168.82 2144.51i −0.724433 0.251839i
\(418\) 1265.35i 0.148063i
\(419\) 687.732 + 1191.19i 0.0801859 + 0.138886i 0.903330 0.428947i \(-0.141115\pi\)
−0.823144 + 0.567833i \(0.807782\pi\)
\(420\) 513.899 + 4849.78i 0.0597040 + 0.563441i
\(421\) −1505.07 + 2606.85i −0.174234 + 0.301782i −0.939896 0.341461i \(-0.889078\pi\)
0.765662 + 0.643243i \(0.222412\pi\)
\(422\) −681.868 393.676i −0.0786559 0.0454120i
\(423\) −12448.3 + 4944.08i −1.43087 + 0.568296i
\(424\) −1425.35 2468.78i −0.163258 0.282771i
\(425\) −1895.12 3282.45i −0.216299 0.374640i
\(426\) 122.414 352.132i 0.0139225 0.0400489i
\(427\) 5901.64 + 12531.4i 0.668853 + 1.42023i
\(428\) −9147.99 + 5281.59i −1.03314 + 0.596485i
\(429\) 1057.41 3041.71i 0.119003 0.342320i
\(430\) 609.089i 0.0683090i
\(431\) 2888.94 1667.93i 0.322867 0.186407i −0.329803 0.944050i \(-0.606982\pi\)
0.652670 + 0.757643i \(0.273649\pi\)
\(432\) −7766.19 4044.19i −0.864933 0.450408i
\(433\) 3574.98i 0.396772i −0.980124 0.198386i \(-0.936430\pi\)
0.980124 0.198386i \(-0.0635700\pi\)
\(434\) 42.3248 505.938i 0.00468124 0.0559581i
\(435\) −352.444 1842.21i −0.0388468 0.203051i
\(436\) −8362.25 −0.918530
\(437\) −1112.88 + 1927.56i −0.121822 + 0.211002i
\(438\) −476.531 + 91.1676i −0.0519852 + 0.00994556i
\(439\) −5246.27 + 3028.94i −0.570367 + 0.329301i −0.757296 0.653072i \(-0.773480\pi\)
0.186929 + 0.982373i \(0.440147\pi\)
\(440\) 1601.62 0.173533
\(441\) 2846.84 8812.58i 0.307401 0.951580i
\(442\) −117.668 −0.0126626
\(443\) 13774.2 7952.52i 1.47727 0.852902i 0.477599 0.878578i \(-0.341507\pi\)
0.999670 + 0.0256763i \(0.00817391\pi\)
\(444\) 2589.26 7448.19i 0.276759 0.796116i
\(445\) 4663.87 8078.05i 0.496828 0.860531i
\(446\) −1065.19 −0.113090
\(447\) 11825.0 10218.1i 1.25123 1.08121i
\(448\) −751.420 + 8982.24i −0.0792438 + 0.947257i
\(449\) 3388.65i 0.356169i 0.984015 + 0.178085i \(0.0569901\pi\)
−0.984015 + 0.178085i \(0.943010\pi\)
\(450\) 216.180 + 544.305i 0.0226463 + 0.0570195i
\(451\) 1596.00 921.453i 0.166636 0.0962073i
\(452\) 7374.46i 0.767402i
\(453\) 9751.23 + 11284.7i 1.01137 + 1.17042i
\(454\) 990.867 572.077i 0.102431 0.0591386i
\(455\) 511.406 + 1085.91i 0.0526925 + 0.111886i
\(456\) 1684.57 322.285i 0.172999 0.0330973i
\(457\) −1140.74 1975.82i −0.116765 0.202243i 0.801719 0.597701i \(-0.203919\pi\)
−0.918484 + 0.395458i \(0.870586\pi\)
\(458\) −167.439 290.013i −0.0170828 0.0295882i
\(459\) 5601.62 + 2917.01i 0.569633 + 0.296632i
\(460\) 1214.83 + 701.382i 0.123134 + 0.0710915i
\(461\) −2730.79 + 4729.87i −0.275891 + 0.477856i −0.970359 0.241666i \(-0.922306\pi\)
0.694469 + 0.719523i \(0.255639\pi\)
\(462\) −1383.96 614.769i −0.139367 0.0619084i
\(463\) −5628.16 9748.26i −0.564931 0.978488i −0.997056 0.0766749i \(-0.975570\pi\)
0.432126 0.901813i \(-0.357764\pi\)
\(464\) 3526.81i 0.352863i
\(465\) −663.665 3468.96i −0.0661865 0.345955i
\(466\) −517.960 −0.0514894
\(467\) 8118.96 14062.5i 0.804498 1.39343i −0.112131 0.993693i \(-0.535768\pi\)
0.916629 0.399738i \(-0.130899\pi\)
\(468\) −2150.40 315.190i −0.212398 0.0311317i
\(469\) −2506.59 1740.96i −0.246788 0.171407i
\(470\) −706.998 408.185i −0.0693859 0.0400600i
\(471\) 896.040 + 4683.58i 0.0876589 + 0.458191i
\(472\) 2258.60 + 1304.00i 0.220255 + 0.127164i
\(473\) −19578.9 11303.9i −1.90326 1.09885i
\(474\) −140.231 732.981i −0.0135886 0.0710273i
\(475\) 5863.25 + 3385.15i 0.566367 + 0.326992i
\(476\) 551.408 6591.37i 0.0530961 0.634695i
\(477\) 6921.20 + 17426.4i 0.664361 + 1.67275i
\(478\) −669.212 + 1159.11i −0.0640356 + 0.110913i
\(479\) −6266.51 −0.597754 −0.298877 0.954292i \(-0.596612\pi\)
−0.298877 + 0.954292i \(0.596612\pi\)
\(480\) −305.098 1594.74i −0.0290120 0.151645i
\(481\) 1940.75i 0.183972i
\(482\) 868.166 + 1503.71i 0.0820412 + 0.142100i
\(483\) −1567.55 2153.70i −0.147673 0.202892i
\(484\) 9520.30 16489.6i 0.894093 1.54861i
\(485\) 5609.47 + 3238.63i 0.525181 + 0.303214i
\(486\) −791.038 571.493i −0.0738317 0.0533404i
\(487\) 262.826 + 455.227i 0.0244554 + 0.0423580i 0.877994 0.478671i \(-0.158882\pi\)
−0.853539 + 0.521029i \(0.825548\pi\)
\(488\) −1535.05 2658.79i −0.142395 0.246635i
\(489\) 8232.46 1575.00i 0.761319 0.145652i
\(490\) 528.928 197.085i 0.0487644 0.0181702i
\(491\) −13426.5 + 7751.78i −1.23407 + 0.712491i −0.967876 0.251429i \(-0.919100\pi\)
−0.266194 + 0.963919i \(0.585766\pi\)
\(492\) −813.218 941.103i −0.0745177 0.0862362i
\(493\) 2543.83i 0.232390i
\(494\) 182.024 105.092i 0.0165782 0.00957144i
\(495\) −10423.3 1527.78i −0.946451 0.138724i
\(496\) 6641.13i 0.601200i
\(497\) 5139.75 + 429.972i 0.463882 + 0.0388066i
\(498\) 1042.64 900.954i 0.0938186 0.0810697i
\(499\) 9320.68 0.836175 0.418087 0.908407i \(-0.362701\pi\)
0.418087 + 0.908407i \(0.362701\pi\)
\(500\) 5300.82 9181.30i 0.474120 0.821200i
\(501\) −3147.57 + 9054.19i −0.280684 + 0.807408i
\(502\) 405.676 234.217i 0.0360681 0.0208239i
\(503\) 1065.29 0.0944311 0.0472155 0.998885i \(-0.484965\pi\)
0.0472155 + 0.998885i \(0.484965\pi\)
\(504\) −465.954 + 1999.06i −0.0411811 + 0.176677i
\(505\) 917.941 0.0808868
\(506\) −377.222 + 217.789i −0.0331414 + 0.0191342i
\(507\) 10687.2 2044.63i 0.936165 0.179103i
\(508\) 5502.84 9531.21i 0.480609 0.832439i
\(509\) −9387.36 −0.817460 −0.408730 0.912655i \(-0.634028\pi\)
−0.408730 + 0.912655i \(0.634028\pi\)
\(510\) 72.3320 + 378.077i 0.00628022 + 0.0328266i
\(511\) −2859.88 6072.61i −0.247581 0.525707i
\(512\) 5102.59i 0.440439i
\(513\) −11270.6 + 490.518i −0.969996 + 0.0422162i
\(514\) 103.535 59.7758i 0.00888467 0.00512957i
\(515\) 3493.83i 0.298945i
\(516\) −5010.16 + 14412.1i −0.427442 + 1.22957i
\(517\) −26241.9 + 15150.8i −2.23234 + 1.28884i
\(518\) −909.477 76.0833i −0.0771431 0.00645349i
\(519\) 3422.33 9844.56i 0.289448 0.832617i
\(520\) −133.020 230.397i −0.0112179 0.0194300i
\(521\) 10087.0 + 17471.2i 0.848216 + 1.46915i 0.882799 + 0.469751i \(0.155656\pi\)
−0.0345837 + 0.999402i \(0.511011\pi\)
\(522\) 57.0043 388.914i 0.00477971 0.0326098i
\(523\) 13914.0 + 8033.23i 1.16332 + 0.671642i 0.952097 0.305797i \(-0.0989227\pi\)
0.211221 + 0.977438i \(0.432256\pi\)
\(524\) −1557.99 + 2698.52i −0.129888 + 0.224972i
\(525\) −6551.11 + 4768.17i −0.544598 + 0.396381i
\(526\) 48.4991 + 84.0029i 0.00402027 + 0.00696331i
\(527\) 4790.14i 0.395942i
\(528\) −18710.5 6504.44i −1.54217 0.536116i
\(529\) 11400.8 0.937028
\(530\) −571.418 + 989.725i −0.0468317 + 0.0811149i
\(531\) −13455.0 10640.9i −1.09962 0.869632i
\(532\) 5033.90 + 10688.9i 0.410239 + 0.871093i
\(533\) −265.106 153.059i −0.0215442 0.0124385i
\(534\) 1479.08 1278.09i 0.119862 0.103574i
\(535\) 7365.46 + 4252.45i 0.595208 + 0.343644i
\(536\) 585.805 + 338.215i 0.0472070 + 0.0272550i
\(537\) −8075.47 2807.33i −0.648943 0.225596i
\(538\) −891.588 514.759i −0.0714482 0.0412506i
\(539\) 3481.01 20659.9i 0.278177 1.65099i
\(540\) 309.145 + 7103.18i 0.0246361 + 0.566059i
\(541\) −12174.8 + 21087.4i −0.967535 + 1.67582i −0.264890 + 0.964279i \(0.585336\pi\)
−0.702645 + 0.711541i \(0.747998\pi\)
\(542\) 217.048 0.0172011
\(543\) −13345.6 + 11532.1i −1.05472 + 0.911396i
\(544\) 2202.11i 0.173556i
\(545\) 3366.41 + 5830.79i 0.264589 + 0.458282i
\(546\) 26.5061 + 250.144i 0.00207758 + 0.0196066i
\(547\) 5442.16 9426.10i 0.425393 0.736802i −0.571064 0.820906i \(-0.693469\pi\)
0.996457 + 0.0841031i \(0.0268025\pi\)
\(548\) −14303.2 8257.96i −1.11497 0.643727i
\(549\) 7453.89 + 18767.6i 0.579461 + 1.45898i
\(550\) 662.470 + 1147.43i 0.0513597 + 0.0889576i
\(551\) −2271.95 3935.14i −0.175660 0.304251i
\(552\) 386.023 + 446.728i 0.0297649 + 0.0344457i
\(553\) 9340.66 4398.96i 0.718274 0.338269i
\(554\) −929.515 + 536.656i −0.0712839 + 0.0411558i
\(555\) −6235.81 + 1193.01i −0.476929 + 0.0912438i
\(556\) 9971.63i 0.760596i
\(557\) 21701.2 12529.2i 1.65082 0.953104i 0.674090 0.738649i \(-0.264536\pi\)
0.976734 0.214455i \(-0.0687975\pi\)
\(558\) 107.341 732.340i 0.00814357 0.0555599i
\(559\) 3755.31i 0.284137i
\(560\) 6679.73 3145.81i 0.504054 0.237383i
\(561\) 13495.5 + 4691.54i 1.01566 + 0.353079i
\(562\) 1332.22 0.0999933
\(563\) 8948.10 15498.6i 0.669836 1.16019i −0.308114 0.951349i \(-0.599698\pi\)
0.977950 0.208840i \(-0.0669688\pi\)
\(564\) 13371.2 + 15473.9i 0.998277 + 1.15526i
\(565\) 5142.04 2968.76i 0.382880 0.221056i
\(566\) −1550.77 −0.115166
\(567\) 4939.30 12565.3i 0.365840 0.930678i
\(568\) −1143.17 −0.0844480
\(569\) 764.970 441.656i 0.0563607 0.0325399i −0.471555 0.881837i \(-0.656307\pi\)
0.527916 + 0.849297i \(0.322974\pi\)
\(570\) −449.562 520.259i −0.0330352 0.0382302i
\(571\) −5229.75 + 9058.20i −0.383290 + 0.663877i −0.991530 0.129876i \(-0.958542\pi\)
0.608241 + 0.793753i \(0.291876\pi\)
\(572\) −4916.80 −0.359408
\(573\) −556.009 193.289i −0.0405369 0.0140921i
\(574\) −82.1198 + 118.234i −0.00597145 + 0.00859756i
\(575\) 2330.58i 0.169029i
\(576\) −1905.70 + 13001.7i −0.137854 + 0.940516i
\(577\) 17098.4 9871.79i 1.23365 0.712249i 0.265863 0.964011i \(-0.414343\pi\)
0.967789 + 0.251762i \(0.0810099\pi\)
\(578\) 743.640i 0.0535145i
\(579\) −4469.73 + 855.127i −0.320821 + 0.0613780i
\(580\) −2480.08 + 1431.88i −0.177552 + 0.102509i
\(581\) 15657.9 + 10875.3i 1.11807 + 0.776561i
\(582\) 887.518 + 1027.09i 0.0632110 + 0.0731514i
\(583\) 21209.6 + 36736.0i 1.50671 + 2.60969i
\(584\) 743.874 + 1288.43i 0.0527084 + 0.0912937i
\(585\) 645.916 + 1626.31i 0.0456502 + 0.114939i
\(586\) 1001.27 + 578.082i 0.0705835 + 0.0407514i
\(587\) 4130.99 7155.09i 0.290467 0.503104i −0.683453 0.729995i \(-0.739523\pi\)
0.973920 + 0.226890i \(0.0728559\pi\)
\(588\) −14136.5 + 312.574i −0.991461 + 0.0219223i
\(589\) −4278.17 7410.01i −0.299285 0.518377i
\(590\) 1045.54i 0.0729562i
\(591\) 3947.73 3411.28i 0.274768 0.237430i
\(592\) −11938.1 −0.828807
\(593\) −13435.3 + 23270.7i −0.930392 + 1.61149i −0.147741 + 0.989026i \(0.547200\pi\)
−0.782652 + 0.622460i \(0.786133\pi\)
\(594\) −1958.14 1019.69i −0.135258 0.0704347i
\(595\) −4817.98 + 2269.02i −0.331963 + 0.156337i
\(596\) −20664.6 11930.7i −1.42023 0.819970i
\(597\) −8228.13 2860.40i −0.564079 0.196094i
\(598\) 62.6590 + 36.1762i 0.00428481 + 0.00247384i
\(599\) −14454.8 8345.50i −0.985991 0.569262i −0.0819174 0.996639i \(-0.526104\pi\)
−0.904074 + 0.427377i \(0.859438\pi\)
\(600\) 1358.86 1174.20i 0.0924584 0.0798944i
\(601\) −16426.9 9484.10i −1.11492 0.643702i −0.174824 0.984600i \(-0.555936\pi\)
−0.940100 + 0.340898i \(0.889269\pi\)
\(602\) 1759.82 + 147.219i 0.119144 + 0.00996713i
\(603\) −3489.78 2759.89i −0.235680 0.186387i
\(604\) 11385.6 19720.5i 0.767012 1.32850i
\(605\) −15330.5 −1.03020
\(606\) 181.704 + 63.1670i 0.0121802 + 0.00423429i
\(607\) 5154.91i 0.344698i −0.985036 0.172349i \(-0.944864\pi\)
0.985036 0.172349i \(-0.0551356\pi\)
\(608\) −1966.75 3406.52i −0.131188 0.227224i
\(609\) 5407.82 573.030i 0.359829 0.0381287i
\(610\) −615.397 + 1065.90i −0.0408470 + 0.0707491i
\(611\) 4358.96 + 2516.65i 0.288616 + 0.166633i
\(612\) 1398.44 9540.93i 0.0923671 0.630179i
\(613\) 4050.42 + 7015.53i 0.266876 + 0.462242i 0.968053 0.250744i \(-0.0806754\pi\)
−0.701178 + 0.712987i \(0.747342\pi\)
\(614\) 33.9371 + 58.7808i 0.00223060 + 0.00386352i
\(615\) −328.829 + 945.900i −0.0215604 + 0.0620201i
\(616\) −387.119 + 4627.51i −0.0253206 + 0.302675i
\(617\) −6750.27 + 3897.27i −0.440447 + 0.254292i −0.703787 0.710411i \(-0.748509\pi\)
0.263340 + 0.964703i \(0.415176\pi\)
\(618\) −240.423 + 691.594i −0.0156493 + 0.0450162i
\(619\) 17518.1i 1.13750i −0.822510 0.568750i \(-0.807427\pi\)
0.822510 0.568750i \(-0.192573\pi\)
\(620\) −4670.09 + 2696.28i −0.302509 + 0.174654i
\(621\) −2086.10 3275.52i −0.134802 0.211662i
\(622\) 1250.12i 0.0805870i
\(623\) 22212.3 + 15427.6i 1.42844 + 0.992126i
\(624\) 618.285 + 3231.76i 0.0396654 + 0.207330i
\(625\) 1988.76 0.127281
\(626\) −352.758 + 610.995i −0.0225225 + 0.0390100i
\(627\) −25066.8 + 4795.67i −1.59661 + 0.305455i
\(628\) 6305.28 3640.35i 0.400650 0.231315i
\(629\) 8610.77 0.545841
\(630\) 787.444 238.934i 0.0497976 0.0151101i
\(631\) 8636.00 0.544839 0.272420 0.962179i \(-0.412176\pi\)
0.272420 + 0.962179i \(0.412176\pi\)
\(632\) −1981.81 + 1144.20i −0.124735 + 0.0720155i
\(633\) 5214.53 14999.9i 0.327423 0.941855i
\(634\) 955.425 1654.84i 0.0598498 0.103663i
\(635\) −8861.18 −0.553772
\(636\) 21661.9 18718.3i 1.35055 1.16702i
\(637\) −3261.08 + 1215.12i −0.202839 + 0.0755803i
\(638\) 889.237i 0.0551806i
\(639\) 7439.74 + 1090.46i 0.460581 + 0.0675087i
\(640\) −2858.50 + 1650.35i −0.176550 + 0.101931i
\(641\) 15365.3i 0.946791i −0.880850 0.473396i \(-0.843028\pi\)
0.880850 0.473396i \(-0.156972\pi\)
\(642\) 1165.35 + 1348.61i 0.0716395 + 0.0829053i
\(643\) 6869.74 3966.25i 0.421332 0.243256i −0.274315 0.961640i \(-0.588451\pi\)
0.695647 + 0.718384i \(0.255118\pi\)
\(644\) −2320.10 + 3340.43i −0.141964 + 0.204397i
\(645\) 12066.1 2308.44i 0.736596 0.140922i
\(646\) 466.273 + 807.608i 0.0283982 + 0.0491872i
\(647\) −9673.35 16754.7i −0.587788 1.01808i −0.994522 0.104531i \(-0.966666\pi\)
0.406734 0.913547i \(-0.366668\pi\)
\(648\) −858.781 + 2866.60i −0.0520619 + 0.173782i
\(649\) −33608.5 19403.9i −2.03274 1.17360i
\(650\) 110.041 190.596i 0.00664023 0.0115012i
\(651\) 10183.1 1079.04i 0.613070 0.0649629i
\(652\) −6398.76 11083.0i −0.384348 0.665710i
\(653\) 19303.6i 1.15683i −0.815743 0.578414i \(-0.803672\pi\)
0.815743 0.578414i \(-0.196328\pi\)
\(654\) 265.133 + 1385.85i 0.0158525 + 0.0828606i
\(655\) 2508.82 0.149661
\(656\) −941.512 + 1630.75i −0.0560364 + 0.0970579i
\(657\) −3612.09 9094.63i −0.214492 0.540054i
\(658\) 1350.24 1944.04i 0.0799966 0.115177i
\(659\) 6426.97 + 3710.61i 0.379908 + 0.219340i 0.677778 0.735266i \(-0.262943\pi\)
−0.297870 + 0.954606i \(0.596276\pi\)
\(660\) 3022.42 + 15798.1i 0.178254 + 0.931730i
\(661\) −12251.0 7073.14i −0.720893 0.416208i 0.0941886 0.995554i \(-0.469974\pi\)
−0.815081 + 0.579347i \(0.803308\pi\)
\(662\) 930.840 + 537.421i 0.0546498 + 0.0315521i
\(663\) −445.959 2331.02i −0.0261231 0.136545i
\(664\) −3659.35 2112.73i −0.213871 0.123478i
\(665\) 5426.58 7813.06i 0.316442 0.455605i
\(666\) −1316.46 192.957i −0.0765942 0.0112266i
\(667\) 782.086 1354.61i 0.0454011 0.0786369i
\(668\) 14635.7 0.847713
\(669\) −4037.06 21101.6i −0.233306 1.21948i
\(670\) 271.178i 0.0156366i
\(671\) 22841.9 + 39563.4i 1.31416 + 2.27620i
\(672\) 4681.37 496.053i 0.268732 0.0284757i
\(673\) 4164.46 7213.05i 0.238526 0.413139i −0.721766 0.692138i \(-0.756669\pi\)
0.960292 + 0.278998i \(0.0900024\pi\)
\(674\) 235.903 + 136.199i 0.0134817 + 0.00778365i
\(675\) −9963.45 + 6345.48i −0.568138 + 0.361833i
\(676\) −8306.74 14387.7i −0.472618 0.818599i
\(677\) −2239.79 3879.44i −0.127153 0.220235i 0.795420 0.606059i \(-0.207250\pi\)
−0.922572 + 0.385824i \(0.873917\pi\)
\(678\) 1222.14 233.815i 0.0692273 0.0132442i
\(679\) −10713.1 + 15424.4i −0.605493 + 0.871775i
\(680\) 1022.23 590.187i 0.0576483 0.0332833i
\(681\) 15088.3 + 17461.1i 0.849024 + 0.982540i
\(682\) 1674.47i 0.0940156i
\(683\) −2140.00 + 1235.53i −0.119890 + 0.0692184i −0.558746 0.829339i \(-0.688717\pi\)
0.438856 + 0.898557i \(0.355384\pi\)
\(684\) 6357.92 + 16008.2i 0.355411 + 0.894864i
\(685\) 13297.7i 0.741721i
\(686\) 441.585 + 1575.85i 0.0245770 + 0.0877057i
\(687\) 5110.61 4416.14i 0.283817 0.245249i
\(688\) 23100.0 1.28006
\(689\) 3523.05 6102.10i 0.194800 0.337404i
\(690\) 77.7202 223.567i 0.00428805 0.0123349i
\(691\) −20070.0 + 11587.4i −1.10492 + 0.637926i −0.937509 0.347961i \(-0.886874\pi\)
−0.167412 + 0.985887i \(0.553541\pi\)
\(692\) −15913.3 −0.874181
\(693\) 6933.50 29746.4i 0.380061 1.63055i
\(694\) 1231.62 0.0673653
\(695\) 6952.98 4014.30i 0.379484 0.219095i
\(696\) −1183.85 + 226.488i −0.0644737 + 0.0123348i
\(697\) 679.097 1176.23i 0.0369048 0.0639210i
\(698\) 648.518 0.0351673
\(699\) −1963.06 10260.9i −0.106223 0.555225i
\(700\) 10160.9 + 7057.28i 0.548637 + 0.381057i
\(701\) 21807.9i 1.17500i 0.809225 + 0.587498i \(0.199887\pi\)
−0.809225 + 0.587498i \(0.800113\pi\)
\(702\) 15.9452 + 366.371i 0.000857283 + 0.0196977i
\(703\) −13320.3 + 7690.46i −0.714628 + 0.412591i
\(704\) 29727.9i 1.59149i
\(705\) 5406.71 15552.8i 0.288835 0.830852i
\(706\) 1339.95 773.623i 0.0714304 0.0412404i
\(707\) −221.870 + 2652.17i −0.0118024 + 0.141082i
\(708\) −8600.26 + 24739.2i −0.456522 + 1.31322i
\(709\) −6487.34 11236.4i −0.343635 0.595193i 0.641470 0.767148i \(-0.278325\pi\)
−0.985105 + 0.171955i \(0.944992\pi\)
\(710\) 229.147 + 396.893i 0.0121123 + 0.0209791i
\(711\) 13989.0 5555.98i 0.737875 0.293060i
\(712\) −5191.14 2997.11i −0.273239 0.157755i
\(713\) 1472.70 2550.79i 0.0773534 0.133980i
\(714\) −1109.85 + 117.603i −0.0581722 + 0.00616412i
\(715\) 1979.37 + 3428.37i 0.103530 + 0.179320i
\(716\) 13053.6i 0.681337i
\(717\) −25498.4 8864.19i −1.32811 0.461701i
\(718\) 1717.24 0.0892574
\(719\) −8416.91 + 14578.5i −0.436575 + 0.756171i −0.997423 0.0717486i \(-0.977142\pi\)
0.560847 + 0.827919i \(0.310475\pi\)
\(720\) 10003.9 3973.22i 0.517809 0.205657i
\(721\) −10094.6 844.474i −0.521417 0.0436197i
\(722\) 87.7246 + 50.6478i 0.00452184 + 0.00261069i
\(723\) −26498.4 + 22897.5i −1.36305 + 1.17783i
\(724\) 23322.0 + 13464.9i 1.19717 + 0.691189i
\(725\) −4120.45 2378.95i −0.211076 0.121865i
\(726\) −3034.62 1054.95i −0.155131 0.0539293i
\(727\) −28354.9 16370.7i −1.44653 0.835152i −0.448253 0.893907i \(-0.647954\pi\)
−0.998272 + 0.0587547i \(0.981287\pi\)
\(728\) 697.830 328.641i 0.0355265 0.0167311i
\(729\) 8323.34 17836.5i 0.422870 0.906191i
\(730\) 298.216 516.525i 0.0151198 0.0261883i
\(731\) −16661.6 −0.843027
\(732\) 23329.1 20158.9i 1.17796 1.01789i
\(733\) 7405.70i 0.373173i 0.982439 + 0.186586i \(0.0597424\pi\)
−0.982439 + 0.186586i \(0.940258\pi\)
\(734\) −207.376 359.186i −0.0104283 0.0180624i
\(735\) 5908.92 + 9731.21i 0.296536 + 0.488355i
\(736\) 677.025 1172.64i 0.0339069 0.0587285i
\(737\) −8716.91 5032.71i −0.435674 0.251536i
\(738\) −130.182 + 164.610i −0.00649330 + 0.00821056i
\(739\) 6333.95 + 10970.7i 0.315288 + 0.546095i 0.979499 0.201450i \(-0.0645655\pi\)
−0.664210 + 0.747546i \(0.731232\pi\)
\(740\) 4846.84 + 8394.98i 0.240775 + 0.417035i
\(741\) 2771.75 + 3207.63i 0.137413 + 0.159022i
\(742\) −2721.46 1890.20i −0.134647 0.0935192i
\(743\) 16940.8 9780.78i 0.836471 0.482937i −0.0195919 0.999808i \(-0.506237\pi\)
0.856063 + 0.516871i \(0.172903\pi\)
\(744\) −2229.23 + 426.486i −0.109849 + 0.0210158i
\(745\) 19211.9i 0.944794i
\(746\) −1162.64 + 671.249i −0.0570605 + 0.0329439i
\(747\) 21799.6 + 17240.2i 1.06775 + 0.844425i
\(748\) 21815.0i 1.06636i
\(749\) −14066.7 + 20252.9i −0.686229 + 0.988017i
\(750\) −1689.65 587.385i −0.0822631 0.0285977i
\(751\) −2326.49 −0.113042 −0.0565211 0.998401i \(-0.518001\pi\)
−0.0565211 + 0.998401i \(0.518001\pi\)
\(752\) 15480.6 26813.2i 0.750692 1.30024i
\(753\) 6177.38 + 7148.82i 0.298959 + 0.345973i
\(754\) −127.919 + 73.8540i −0.00617843 + 0.00356712i
\(755\) −18334.2 −0.883774
\(756\) −20597.6 823.669i −0.990912 0.0396251i
\(757\) 5811.77 0.279039 0.139519 0.990219i \(-0.455444\pi\)
0.139519 + 0.990219i \(0.455444\pi\)
\(758\) 2219.20 1281.26i 0.106339 0.0613950i
\(759\) −5744.11 6647.41i −0.274701 0.317900i
\(760\) −1054.22 + 1825.96i −0.0503164 + 0.0871506i
\(761\) 26599.4 1.26705 0.633526 0.773721i \(-0.281607\pi\)
0.633526 + 0.773721i \(0.281607\pi\)
\(762\) −1754.05 609.770i −0.0833890 0.0289890i
\(763\) −17660.4 + 8317.11i −0.837939 + 0.394626i
\(764\) 898.765i 0.0425604i
\(765\) −7215.64 + 2865.82i −0.341022 + 0.135443i
\(766\) −3223.70 + 1861.21i −0.152059 + 0.0877913i
\(767\) 6446.22i 0.303467i
\(768\) 19191.5 3671.63i 0.901712 0.172511i
\(769\) −5505.13 + 3178.39i −0.258153 + 0.149045i −0.623492 0.781830i \(-0.714287\pi\)
0.365339 + 0.930875i \(0.380953\pi\)
\(770\) 1684.20 793.171i 0.0788239 0.0371220i
\(771\) 1576.56 + 1824.49i 0.0736428 + 0.0852236i
\(772\) 3474.14 + 6017.38i 0.161965 + 0.280531i
\(773\) 3466.39 +