Properties

Label 63.4.s.a.47.3
Level $63$
Weight $4$
Character 63.47
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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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 47.3
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.26829 + 2.46430i) q^{2} +(-1.44219 - 4.99200i) q^{3} +(8.14552 - 14.1085i) q^{4} -9.24869 q^{5} +(18.4575 + 17.7533i) q^{6} +(17.8986 + 4.75801i) q^{7} +40.8632i q^{8} +(-22.8402 + 14.3988i) q^{9} +O(q^{10})\) \(q+(-4.26829 + 2.46430i) q^{2} +(-1.44219 - 4.99200i) q^{3} +(8.14552 - 14.1085i) q^{4} -9.24869 q^{5} +(18.4575 + 17.7533i) q^{6} +(17.8986 + 4.75801i) q^{7} +40.8632i q^{8} +(-22.8402 + 14.3988i) q^{9} +(39.4761 - 22.7915i) q^{10} +15.2595i q^{11} +(-82.1769 - 20.3154i) q^{12} +(-61.0927 + 35.2719i) q^{13} +(-88.1217 + 23.7990i) q^{14} +(13.3383 + 46.1695i) q^{15} +(-35.5349 - 61.5483i) q^{16} +(17.8844 + 30.9767i) q^{17} +(62.0056 - 117.743i) q^{18} +(91.6472 + 52.9125i) q^{19} +(-75.3354 + 130.485i) q^{20} +(-2.06122 - 96.2120i) q^{21} +(-37.6039 - 65.1319i) q^{22} +92.4427i q^{23} +(203.989 - 58.9324i) q^{24} -39.4618 q^{25} +(173.841 - 301.101i) q^{26} +(104.819 + 93.2525i) q^{27} +(212.922 - 213.766i) q^{28} +(222.341 + 128.369i) q^{29} +(-170.707 - 164.195i) q^{30} +(-123.551 - 71.3321i) q^{31} +(20.2380 + 11.6844i) q^{32} +(76.1755 - 22.0071i) q^{33} +(-152.672 - 88.1451i) q^{34} +(-165.539 - 44.0053i) q^{35} +(17.0998 + 439.526i) q^{36} +(-100.112 + 173.399i) q^{37} -521.569 q^{38} +(264.184 + 254.106i) q^{39} -377.931i q^{40} +(-162.085 - 280.739i) q^{41} +(245.893 + 405.581i) q^{42} +(-92.5782 + 160.350i) q^{43} +(215.288 + 124.297i) q^{44} +(211.242 - 133.170i) q^{45} +(-227.806 - 394.572i) q^{46} +(-235.747 - 408.326i) q^{47} +(-256.001 + 266.155i) q^{48} +(297.723 + 170.324i) q^{49} +(168.434 - 97.2457i) q^{50} +(128.843 - 133.953i) q^{51} +1149.23i q^{52} +(-247.615 + 142.960i) q^{53} +(-677.199 - 139.724i) q^{54} -141.130i q^{55} +(-194.427 + 731.396i) q^{56} +(131.967 - 533.813i) q^{57} -1265.36 q^{58} +(85.0742 - 147.353i) q^{59} +(760.028 + 187.891i) q^{60} +(222.571 - 128.501i) q^{61} +703.134 q^{62} +(-477.318 + 149.045i) q^{63} +453.383 q^{64} +(565.027 - 326.218i) q^{65} +(-270.907 + 281.651i) q^{66} +(-501.367 + 868.394i) q^{67} +582.712 q^{68} +(461.474 - 133.320i) q^{69} +(815.010 - 220.110i) q^{70} +445.602i q^{71} +(-588.382 - 933.324i) q^{72} +(-81.3323 + 46.9572i) q^{73} -986.820i q^{74} +(56.9114 + 196.994i) q^{75} +(1493.03 - 862.001i) q^{76} +(-72.6048 + 273.124i) q^{77} +(-1753.81 - 433.569i) q^{78} +(-231.624 - 401.185i) q^{79} +(328.651 + 569.241i) q^{80} +(314.348 - 657.743i) q^{81} +(1383.65 + 798.851i) q^{82} +(-348.156 + 603.023i) q^{83} +(-1374.19 - 754.617i) q^{84} +(-165.407 - 286.494i) q^{85} -912.561i q^{86} +(320.160 - 1295.06i) q^{87} -623.552 q^{88} +(-338.803 + 586.824i) q^{89} +(-573.470 + 1088.97i) q^{90} +(-1261.30 + 340.639i) q^{91} +(1304.22 + 752.994i) q^{92} +(-177.907 + 719.640i) q^{93} +(2012.47 + 1161.90i) q^{94} +(-847.616 - 489.371i) q^{95} +(29.1416 - 117.879i) q^{96} +(402.332 + 232.287i) q^{97} +(-1690.49 + 6.68653i) q^{98} +(-219.719 - 348.530i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.26829 + 2.46430i −1.50907 + 0.871261i −0.509124 + 0.860693i \(0.670030\pi\)
−0.999944 + 0.0105673i \(0.996636\pi\)
\(3\) −1.44219 4.99200i −0.277549 0.960711i
\(4\) 8.14552 14.1085i 1.01819 1.76356i
\(5\) −9.24869 −0.827228 −0.413614 0.910452i \(-0.635734\pi\)
−0.413614 + 0.910452i \(0.635734\pi\)
\(6\) 18.4575 + 17.7533i 1.25587 + 1.20796i
\(7\) 17.8986 + 4.75801i 0.966436 + 0.256908i
\(8\) 40.8632i 1.80592i
\(9\) −22.8402 + 14.3988i −0.845933 + 0.533289i
\(10\) 39.4761 22.7915i 1.24834 0.720731i
\(11\) 15.2595i 0.418265i 0.977887 + 0.209132i \(0.0670639\pi\)
−0.977887 + 0.209132i \(0.932936\pi\)
\(12\) −82.1769 20.3154i −1.97687 0.488713i
\(13\) −61.0927 + 35.2719i −1.30339 + 0.752512i −0.980984 0.194090i \(-0.937825\pi\)
−0.322405 + 0.946602i \(0.604491\pi\)
\(14\) −88.1217 + 23.7990i −1.68225 + 0.454326i
\(15\) 13.3383 + 46.1695i 0.229596 + 0.794727i
\(16\) −35.5349 61.5483i −0.555233 0.961692i
\(17\) 17.8844 + 30.9767i 0.255154 + 0.441939i 0.964937 0.262481i \(-0.0845406\pi\)
−0.709784 + 0.704420i \(0.751207\pi\)
\(18\) 62.0056 117.743i 0.811936 1.54180i
\(19\) 91.6472 + 52.9125i 1.10660 + 0.638893i 0.937945 0.346783i \(-0.112726\pi\)
0.168650 + 0.985676i \(0.446059\pi\)
\(20\) −75.3354 + 130.485i −0.842275 + 1.45886i
\(21\) −2.06122 96.2120i −0.0214188 0.999771i
\(22\) −37.6039 65.1319i −0.364418 0.631190i
\(23\) 92.4427i 0.838071i 0.907970 + 0.419035i \(0.137632\pi\)
−0.907970 + 0.419035i \(0.862368\pi\)
\(24\) 203.989 58.9324i 1.73496 0.501231i
\(25\) −39.4618 −0.315695
\(26\) 173.841 301.101i 1.31127 2.27118i
\(27\) 104.819 + 93.2525i 0.747125 + 0.664683i
\(28\) 212.922 213.766i 1.43709 1.44278i
\(29\) 222.341 + 128.369i 1.42372 + 0.821983i 0.996614 0.0822202i \(-0.0262011\pi\)
0.427102 + 0.904203i \(0.359534\pi\)
\(30\) −170.707 164.195i −1.03889 0.999259i
\(31\) −123.551 71.3321i −0.715819 0.413278i 0.0973929 0.995246i \(-0.468950\pi\)
−0.813212 + 0.581968i \(0.802283\pi\)
\(32\) 20.2380 + 11.6844i 0.111800 + 0.0645478i
\(33\) 76.1755 22.0071i 0.401832 0.116089i
\(34\) −152.672 88.1451i −0.770088 0.444611i
\(35\) −165.539 44.0053i −0.799462 0.212522i
\(36\) 17.0998 + 439.526i 0.0791657 + 2.03484i
\(37\) −100.112 + 173.399i −0.444818 + 0.770447i −0.998040 0.0625870i \(-0.980065\pi\)
0.553222 + 0.833034i \(0.313398\pi\)
\(38\) −521.569 −2.22657
\(39\) 264.184 + 254.106i 1.08470 + 1.04332i
\(40\) 377.931i 1.49390i
\(41\) −162.085 280.739i −0.617401 1.06937i −0.989958 0.141360i \(-0.954852\pi\)
0.372558 0.928009i \(-0.378481\pi\)
\(42\) 245.893 + 405.581i 0.903383 + 1.49006i
\(43\) −92.5782 + 160.350i −0.328327 + 0.568679i −0.982180 0.187943i \(-0.939818\pi\)
0.653853 + 0.756621i \(0.273151\pi\)
\(44\) 215.288 + 124.297i 0.737634 + 0.425873i
\(45\) 211.242 133.170i 0.699779 0.441152i
\(46\) −227.806 394.572i −0.730178 1.26471i
\(47\) −235.747 408.326i −0.731643 1.26724i −0.956181 0.292778i \(-0.905420\pi\)
0.224538 0.974465i \(-0.427913\pi\)
\(48\) −256.001 + 266.155i −0.769804 + 0.800336i
\(49\) 297.723 + 170.324i 0.867996 + 0.496571i
\(50\) 168.434 97.2457i 0.476404 0.275052i
\(51\) 128.843 133.953i 0.353758 0.367789i
\(52\) 1149.23i 3.06480i
\(53\) −247.615 + 142.960i −0.641745 + 0.370512i −0.785286 0.619133i \(-0.787484\pi\)
0.143541 + 0.989644i \(0.454151\pi\)
\(54\) −677.199 139.724i −1.70658 0.352111i
\(55\) 141.130i 0.346000i
\(56\) −194.427 + 731.396i −0.463955 + 1.74530i
\(57\) 131.967 533.813i 0.306657 1.24044i
\(58\) −1265.36 −2.86465
\(59\) 85.0742 147.353i 0.187724 0.325147i −0.756767 0.653685i \(-0.773222\pi\)
0.944491 + 0.328537i \(0.106556\pi\)
\(60\) 760.028 + 187.891i 1.63532 + 0.404277i
\(61\) 222.571 128.501i 0.467169 0.269720i −0.247885 0.968789i \(-0.579736\pi\)
0.715054 + 0.699069i \(0.246402\pi\)
\(62\) 703.134 1.44029
\(63\) −477.318 + 149.045i −0.954546 + 0.298063i
\(64\) 453.383 0.885515
\(65\) 565.027 326.218i 1.07820 0.622499i
\(66\) −270.907 + 281.651i −0.505247 + 0.525286i
\(67\) −501.367 + 868.394i −0.914205 + 1.58345i −0.106145 + 0.994351i \(0.533851\pi\)
−0.808061 + 0.589099i \(0.799483\pi\)
\(68\) 582.712 1.03918
\(69\) 461.474 133.320i 0.805144 0.232606i
\(70\) 815.010 220.110i 1.39160 0.375831i
\(71\) 445.602i 0.744835i 0.928065 + 0.372417i \(0.121471\pi\)
−0.928065 + 0.372417i \(0.878529\pi\)
\(72\) −588.382 933.324i −0.963076 1.52768i
\(73\) −81.3323 + 46.9572i −0.130400 + 0.0752867i −0.563781 0.825924i \(-0.690654\pi\)
0.433381 + 0.901211i \(0.357321\pi\)
\(74\) 986.820i 1.55021i
\(75\) 56.9114 + 196.994i 0.0876208 + 0.303291i
\(76\) 1493.03 862.001i 2.25345 1.30103i
\(77\) −72.6048 + 273.124i −0.107456 + 0.404226i
\(78\) −1753.81 433.569i −2.54589 0.629385i
\(79\) −231.624 401.185i −0.329871 0.571353i 0.652615 0.757689i \(-0.273672\pi\)
−0.982486 + 0.186337i \(0.940338\pi\)
\(80\) 328.651 + 569.241i 0.459304 + 0.795538i
\(81\) 314.348 657.743i 0.431205 0.902254i
\(82\) 1383.65 + 798.851i 1.86340 + 1.07583i
\(83\) −348.156 + 603.023i −0.460422 + 0.797475i −0.998982 0.0451126i \(-0.985635\pi\)
0.538560 + 0.842587i \(0.318969\pi\)
\(84\) −1374.19 754.617i −1.78496 0.980184i
\(85\) −165.407 286.494i −0.211070 0.365584i
\(86\) 912.561i 1.14423i
\(87\) 320.160 1295.06i 0.394537 1.59592i
\(88\) −623.552 −0.755351
\(89\) −338.803 + 586.824i −0.403518 + 0.698913i −0.994148 0.108029i \(-0.965546\pi\)
0.590630 + 0.806942i \(0.298879\pi\)
\(90\) −573.470 + 1088.97i −0.671656 + 1.27542i
\(91\) −1261.30 + 340.639i −1.45297 + 0.392403i
\(92\) 1304.22 + 752.994i 1.47799 + 0.853316i
\(93\) −177.907 + 719.640i −0.198366 + 0.802400i
\(94\) 2012.47 + 1161.90i 2.20820 + 1.27490i
\(95\) −847.616 489.371i −0.915406 0.528510i
\(96\) 29.1416 117.879i 0.0309818 0.125323i
\(97\) 402.332 + 232.287i 0.421141 + 0.243146i 0.695565 0.718463i \(-0.255154\pi\)
−0.274424 + 0.961609i \(0.588487\pi\)
\(98\) −1690.49 + 6.68653i −1.74251 + 0.00689226i
\(99\) −219.719 348.530i −0.223056 0.353824i
\(100\) −321.437 + 556.745i −0.321437 + 0.556745i
\(101\) −508.150 −0.500622 −0.250311 0.968165i \(-0.580533\pi\)
−0.250311 + 0.968165i \(0.580533\pi\)
\(102\) −219.839 + 889.260i −0.213405 + 0.863234i
\(103\) 657.703i 0.629179i −0.949228 0.314589i \(-0.898133\pi\)
0.949228 0.314589i \(-0.101867\pi\)
\(104\) −1441.32 2496.44i −1.35897 2.35381i
\(105\) 19.0635 + 889.835i 0.0177182 + 0.827038i
\(106\) 704.594 1220.39i 0.645625 1.11825i
\(107\) 810.389 + 467.878i 0.732180 + 0.422724i 0.819219 0.573481i \(-0.194407\pi\)
−0.0870393 + 0.996205i \(0.527741\pi\)
\(108\) 2169.45 719.241i 1.93292 0.640824i
\(109\) −272.351 471.726i −0.239326 0.414524i 0.721195 0.692732i \(-0.243593\pi\)
−0.960521 + 0.278207i \(0.910260\pi\)
\(110\) 347.787 + 602.385i 0.301456 + 0.522138i
\(111\) 1009.99 + 249.685i 0.863636 + 0.213505i
\(112\) −343.180 1270.71i −0.289531 1.07206i
\(113\) 63.9011 36.8933i 0.0531974 0.0307135i −0.473165 0.880974i \(-0.656889\pi\)
0.526363 + 0.850260i \(0.323555\pi\)
\(114\) 752.200 + 2603.67i 0.617983 + 2.13909i
\(115\) 854.973i 0.693275i
\(116\) 3622.18 2091.26i 2.89923 1.67387i
\(117\) 887.495 1685.28i 0.701273 1.33166i
\(118\) 838.592i 0.654226i
\(119\) 172.719 + 639.536i 0.133052 + 0.492657i
\(120\) −1886.63 + 545.048i −1.43521 + 0.414632i
\(121\) 1098.15 0.825055
\(122\) −633.331 + 1096.96i −0.469993 + 0.814051i
\(123\) −1167.70 + 1214.01i −0.855996 + 0.889946i
\(124\) −2012.77 + 1162.07i −1.45768 + 0.841592i
\(125\) 1521.06 1.08838
\(126\) 1670.04 1812.42i 1.18078 1.28146i
\(127\) −2142.49 −1.49697 −0.748484 0.663153i \(-0.769218\pi\)
−0.748484 + 0.663153i \(0.769218\pi\)
\(128\) −2097.08 + 1210.75i −1.44810 + 0.836062i
\(129\) 933.984 + 230.896i 0.637463 + 0.157591i
\(130\) −1607.80 + 2784.79i −1.08472 + 1.87879i
\(131\) 2060.85 1.37448 0.687242 0.726429i \(-0.258821\pi\)
0.687242 + 0.726429i \(0.258821\pi\)
\(132\) 310.003 1253.98i 0.204412 0.826854i
\(133\) 1388.60 + 1383.12i 0.905316 + 0.901742i
\(134\) 4942.07i 3.18604i
\(135\) −969.436 862.463i −0.618043 0.549844i
\(136\) −1265.81 + 730.815i −0.798105 + 0.460786i
\(137\) 47.4441i 0.0295870i 0.999891 + 0.0147935i \(0.00470909\pi\)
−0.999891 + 0.0147935i \(0.995291\pi\)
\(138\) −1641.17 + 1706.26i −1.01236 + 1.05251i
\(139\) −713.061 + 411.686i −0.435115 + 0.251214i −0.701523 0.712646i \(-0.747496\pi\)
0.266408 + 0.963860i \(0.414163\pi\)
\(140\) −1969.25 + 1977.05i −1.18880 + 1.19351i
\(141\) −1698.37 + 1765.73i −1.01439 + 1.05462i
\(142\) −1098.10 1901.96i −0.648945 1.12401i
\(143\) −538.231 932.243i −0.314749 0.545162i
\(144\) 1697.85 + 894.114i 0.982550 + 0.517427i
\(145\) −2056.37 1187.24i −1.17774 0.679967i
\(146\) 231.433 400.854i 0.131189 0.227225i
\(147\) 420.885 1731.87i 0.236149 0.971717i
\(148\) 1630.92 + 2824.84i 0.905819 + 1.56892i
\(149\) 1150.98i 0.632830i 0.948621 + 0.316415i \(0.102479\pi\)
−0.948621 + 0.316415i \(0.897521\pi\)
\(150\) −728.365 700.579i −0.396471 0.381347i
\(151\) −593.799 −0.320018 −0.160009 0.987116i \(-0.551152\pi\)
−0.160009 + 0.987116i \(0.551152\pi\)
\(152\) −2162.18 + 3745.00i −1.15379 + 1.99842i
\(153\) −854.512 450.000i −0.451524 0.237780i
\(154\) −363.161 1344.69i −0.190028 0.703626i
\(155\) 1142.68 + 659.728i 0.592145 + 0.341875i
\(156\) 5736.97 1657.41i 2.94439 0.850633i
\(157\) −29.3249 16.9307i −0.0149069 0.00860649i 0.492528 0.870297i \(-0.336073\pi\)
−0.507435 + 0.861690i \(0.669406\pi\)
\(158\) 1977.28 + 1141.58i 0.995594 + 0.574807i
\(159\) 1070.77 + 1029.92i 0.534071 + 0.513697i
\(160\) −187.175 108.065i −0.0924842 0.0533958i
\(161\) −439.843 + 1654.60i −0.215307 + 0.809942i
\(162\) 279.145 + 3582.09i 0.135381 + 1.73725i
\(163\) 2034.98 3524.68i 0.977863 1.69371i 0.307721 0.951477i \(-0.400434\pi\)
0.670142 0.742232i \(-0.266233\pi\)
\(164\) −5281.07 −2.51453
\(165\) −704.523 + 203.536i −0.332406 + 0.0960320i
\(166\) 3431.84i 1.60459i
\(167\) −729.362 1263.29i −0.337962 0.585368i 0.646087 0.763264i \(-0.276404\pi\)
−0.984049 + 0.177896i \(0.943071\pi\)
\(168\) 3931.53 84.2279i 1.80550 0.0386805i
\(169\) 1389.71 2407.05i 0.632548 1.09561i
\(170\) 1412.01 + 815.226i 0.637038 + 0.367794i
\(171\) −2855.12 + 111.079i −1.27682 + 0.0496748i
\(172\) 1508.20 + 2612.27i 0.668598 + 1.15805i
\(173\) −245.553 425.311i −0.107914 0.186912i 0.807011 0.590536i \(-0.201084\pi\)
−0.914925 + 0.403624i \(0.867750\pi\)
\(174\) 1824.88 + 6316.66i 0.795080 + 2.75210i
\(175\) −706.313 187.760i −0.305098 0.0811045i
\(176\) 939.196 542.245i 0.402242 0.232234i
\(177\) −858.278 212.180i −0.364475 0.0901041i
\(178\) 3339.65i 1.40628i
\(179\) −710.152 + 410.006i −0.296532 + 0.171203i −0.640884 0.767638i \(-0.721432\pi\)
0.344352 + 0.938841i \(0.388099\pi\)
\(180\) −158.151 4065.04i −0.0654880 1.68328i
\(181\) 618.639i 0.254050i −0.991900 0.127025i \(-0.959457\pi\)
0.991900 0.127025i \(-0.0405429\pi\)
\(182\) 4544.15 4562.16i 1.85074 1.85808i
\(183\) −962.468 925.752i −0.388785 0.373954i
\(184\) −3777.50 −1.51349
\(185\) 925.901 1603.71i 0.367966 0.637335i
\(186\) −1014.05 3510.05i −0.399752 1.38371i
\(187\) −472.689 + 272.907i −0.184847 + 0.106722i
\(188\) −7681.13 −2.97981
\(189\) 1432.42 + 2167.82i 0.551286 + 0.834316i
\(190\) 4823.83 1.84188
\(191\) −1335.44 + 771.019i −0.505913 + 0.292089i −0.731152 0.682215i \(-0.761017\pi\)
0.225239 + 0.974303i \(0.427684\pi\)
\(192\) −653.864 2263.29i −0.245774 0.850724i
\(193\) 1405.23 2433.93i 0.524097 0.907763i −0.475509 0.879711i \(-0.657736\pi\)
0.999606 0.0280523i \(-0.00893050\pi\)
\(194\) −2289.69 −0.847373
\(195\) −2443.36 2350.15i −0.897295 0.863064i
\(196\) 4828.11 2813.03i 1.75952 1.02516i
\(197\) 1603.61i 0.579963i 0.957032 + 0.289982i \(0.0936492\pi\)
−0.957032 + 0.289982i \(0.906351\pi\)
\(198\) 1796.70 + 946.174i 0.644880 + 0.339604i
\(199\) −597.100 + 344.736i −0.212700 + 0.122802i −0.602566 0.798069i \(-0.705855\pi\)
0.389866 + 0.920872i \(0.372521\pi\)
\(200\) 1612.54i 0.570118i
\(201\) 5058.09 + 1250.44i 1.77498 + 0.438802i
\(202\) 2168.93 1252.23i 0.755473 0.436172i
\(203\) 3368.83 + 3355.53i 1.16476 + 1.16016i
\(204\) −840.380 2908.90i −0.288424 0.998352i
\(205\) 1499.07 + 2596.47i 0.510731 + 0.884612i
\(206\) 1620.78 + 2807.27i 0.548179 + 0.949474i
\(207\) −1331.06 2111.41i −0.446934 0.708952i
\(208\) 4341.85 + 2506.77i 1.44737 + 0.835639i
\(209\) −807.419 + 1398.49i −0.267226 + 0.462850i
\(210\) −2274.19 3751.09i −0.747304 1.23262i
\(211\) 2341.89 + 4056.27i 0.764087 + 1.32344i 0.940728 + 0.339162i \(0.110143\pi\)
−0.176641 + 0.984275i \(0.556523\pi\)
\(212\) 4657.95i 1.50901i
\(213\) 2224.45 642.642i 0.715571 0.206728i
\(214\) −4611.96 −1.47321
\(215\) 856.227 1483.03i 0.271601 0.470427i
\(216\) −3810.60 + 4283.23i −1.20036 + 1.34925i
\(217\) −1871.99 1864.60i −0.585618 0.583307i
\(218\) 2324.95 + 1342.31i 0.722318 + 0.417030i
\(219\) 351.707 + 338.290i 0.108521 + 0.104381i
\(220\) −1991.13 1149.58i −0.610191 0.352294i
\(221\) −2185.21 1261.63i −0.665129 0.384012i
\(222\) −4926.21 + 1423.18i −1.48930 + 0.430259i
\(223\) 680.507 + 392.891i 0.204350 + 0.117982i 0.598683 0.800986i \(-0.295691\pi\)
−0.394333 + 0.918968i \(0.629024\pi\)
\(224\) 306.638 + 305.428i 0.0914648 + 0.0911037i
\(225\) 901.315 568.203i 0.267056 0.168357i
\(226\) −181.832 + 314.942i −0.0535190 + 0.0926976i
\(227\) 1808.61 0.528819 0.264409 0.964411i \(-0.414823\pi\)
0.264409 + 0.964411i \(0.414823\pi\)
\(228\) −6456.34 6210.04i −1.87536 1.80381i
\(229\) 2867.45i 0.827453i 0.910401 + 0.413726i \(0.135773\pi\)
−0.910401 + 0.413726i \(0.864227\pi\)
\(230\) 2106.91 + 3649.27i 0.604024 + 1.04620i
\(231\) 1468.15 31.4531i 0.418169 0.00895872i
\(232\) −5245.57 + 9085.59i −1.48443 + 2.57111i
\(233\) 2302.74 + 1329.49i 0.647456 + 0.373809i 0.787481 0.616339i \(-0.211385\pi\)
−0.140025 + 0.990148i \(0.544718\pi\)
\(234\) 364.941 + 9380.30i 0.101953 + 2.62055i
\(235\) 2180.35 + 3776.48i 0.605235 + 1.04830i
\(236\) −1385.95 2400.53i −0.382277 0.662124i
\(237\) −1668.67 + 1734.85i −0.457350 + 0.475489i
\(238\) −2313.22 2304.09i −0.630017 0.627530i
\(239\) −1674.76 + 966.920i −0.453267 + 0.261694i −0.709209 0.704998i \(-0.750948\pi\)
0.255942 + 0.966692i \(0.417614\pi\)
\(240\) 2367.68 2461.58i 0.636803 0.662060i
\(241\) 4139.22i 1.10635i −0.833065 0.553175i \(-0.813416\pi\)
0.833065 0.553175i \(-0.186584\pi\)
\(242\) −4687.21 + 2706.16i −1.24506 + 0.718838i
\(243\) −3736.81 620.639i −0.986486 0.163844i
\(244\) 4186.84i 1.09851i
\(245\) −2753.54 1575.27i −0.718030 0.410777i
\(246\) 1992.38 8059.28i 0.516381 2.08879i
\(247\) −7465.29 −1.92310
\(248\) 2914.86 5048.68i 0.746346 1.29271i
\(249\) 3512.40 + 868.321i 0.893933 + 0.220994i
\(250\) −6492.30 + 3748.33i −1.64244 + 0.948262i
\(251\) 370.848 0.0932577 0.0466289 0.998912i \(-0.485152\pi\)
0.0466289 + 0.998912i \(0.485152\pi\)
\(252\) −1785.20 + 7948.28i −0.446259 + 1.98688i
\(253\) −1410.63 −0.350535
\(254\) 9144.75 5279.72i 2.25903 1.30425i
\(255\) −1191.63 + 1238.89i −0.292639 + 0.304245i
\(256\) 4153.75 7194.50i 1.01410 1.75647i
\(257\) 6849.66 1.66253 0.831265 0.555877i \(-0.187617\pi\)
0.831265 + 0.555877i \(0.187617\pi\)
\(258\) −4555.51 + 1316.08i −1.09928 + 0.317581i
\(259\) −2616.89 + 2627.27i −0.627822 + 0.630310i
\(260\) 10628.9i 2.53529i
\(261\) −6926.68 + 269.483i −1.64272 + 0.0639103i
\(262\) −8796.30 + 5078.55i −2.07419 + 1.19753i
\(263\) 5271.14i 1.23587i 0.786231 + 0.617933i \(0.212030\pi\)
−0.786231 + 0.617933i \(0.787970\pi\)
\(264\) 899.279 + 3112.77i 0.209647 + 0.725674i
\(265\) 2290.11 1322.20i 0.530869 0.306498i
\(266\) −9335.37 2481.63i −2.15184 0.572024i
\(267\) 3418.05 + 844.996i 0.783450 + 0.193681i
\(268\) 8167.80 + 14147.0i 1.86167 + 3.22451i
\(269\) 553.460 + 958.621i 0.125446 + 0.217279i 0.921907 0.387410i \(-0.126630\pi\)
−0.796461 + 0.604690i \(0.793297\pi\)
\(270\) 6263.20 + 1292.26i 1.41173 + 0.291276i
\(271\) 4357.92 + 2516.05i 0.976844 + 0.563981i 0.901316 0.433162i \(-0.142602\pi\)
0.0755283 + 0.997144i \(0.475936\pi\)
\(272\) 1271.04 2201.51i 0.283340 0.490758i
\(273\) 3519.50 + 5805.14i 0.780256 + 1.28697i
\(274\) −116.916 202.505i −0.0257780 0.0446488i
\(275\) 602.167i 0.132044i
\(276\) 1878.01 7596.65i 0.409576 1.65676i
\(277\) 8751.34 1.89826 0.949128 0.314890i \(-0.101968\pi\)
0.949128 + 0.314890i \(0.101968\pi\)
\(278\) 2029.03 3514.39i 0.437746 0.758197i
\(279\) 3849.02 149.747i 0.825932 0.0321329i
\(280\) 1798.20 6764.45i 0.383796 1.44376i
\(281\) −5849.25 3377.07i −1.24177 0.716936i −0.272315 0.962208i \(-0.587789\pi\)
−0.969454 + 0.245273i \(0.921122\pi\)
\(282\) 2897.85 11721.9i 0.611931 2.47529i
\(283\) 654.152 + 377.675i 0.137404 + 0.0793302i 0.567126 0.823631i \(-0.308055\pi\)
−0.429722 + 0.902961i \(0.641389\pi\)
\(284\) 6286.76 + 3629.67i 1.31356 + 0.758384i
\(285\) −1220.52 + 4937.07i −0.253675 + 1.02613i
\(286\) 4594.65 + 2652.72i 0.949956 + 0.548457i
\(287\) −1565.34 5796.06i −0.321948 1.19209i
\(288\) −630.481 + 24.5289i −0.128998 + 0.00501868i
\(289\) 1816.79 3146.78i 0.369793 0.640501i
\(290\) 11702.9 2.36971
\(291\) 579.337 2343.45i 0.116706 0.472080i
\(292\) 1529.96i 0.306625i
\(293\) −3949.45 6840.64i −0.787472 1.36394i −0.927511 0.373795i \(-0.878056\pi\)
0.140040 0.990146i \(-0.455277\pi\)
\(294\) 2471.39 + 8429.31i 0.490253 + 1.67213i
\(295\) −786.824 + 1362.82i −0.155290 + 0.268971i
\(296\) −7085.62 4090.89i −1.39136 0.803304i
\(297\) −1422.99 + 1599.48i −0.278014 + 0.312496i
\(298\) −2836.35 4912.70i −0.551360 0.954983i
\(299\) −3260.63 5647.57i −0.630658 1.09233i
\(300\) 3242.85 + 801.684i 0.624086 + 0.154284i
\(301\) −2419.97 + 2429.56i −0.463405 + 0.465241i
\(302\) 2534.50 1463.30i 0.482928 0.278819i
\(303\) 732.848 + 2536.69i 0.138947 + 0.480954i
\(304\) 7520.97i 1.41894i
\(305\) −2058.49 + 1188.47i −0.386455 + 0.223120i
\(306\) 4756.24 185.042i 0.888549 0.0345691i
\(307\) 1715.02i 0.318832i 0.987212 + 0.159416i \(0.0509610\pi\)
−0.987212 + 0.159416i \(0.949039\pi\)
\(308\) 3261.96 + 3249.08i 0.603466 + 0.601083i
\(309\) −3283.26 + 948.532i −0.604459 + 0.174628i
\(310\) −6503.07 −1.19145
\(311\) −1576.29 + 2730.21i −0.287405 + 0.497800i −0.973190 0.230004i \(-0.926126\pi\)
0.685784 + 0.727805i \(0.259459\pi\)
\(312\) −10383.6 + 10795.4i −1.88415 + 1.95888i
\(313\) −4698.26 + 2712.54i −0.848440 + 0.489847i −0.860124 0.510085i \(-0.829614\pi\)
0.0116844 + 0.999932i \(0.496281\pi\)
\(314\) 166.889 0.0299940
\(315\) 4414.56 1378.47i 0.789627 0.246566i
\(316\) −7546.81 −1.34348
\(317\) 1209.31 698.194i 0.214263 0.123705i −0.389028 0.921226i \(-0.627189\pi\)
0.603291 + 0.797521i \(0.293856\pi\)
\(318\) −7108.36 1757.30i −1.25351 0.309888i
\(319\) −1958.85 + 3392.82i −0.343807 + 0.595490i
\(320\) −4193.20 −0.732522
\(321\) 1166.92 4720.23i 0.202900 0.820740i
\(322\) −2200.05 8146.21i −0.380757 1.40985i
\(323\) 3785.24i 0.652063i
\(324\) −6719.21 9792.64i −1.15213 1.67912i
\(325\) 2410.83 1391.89i 0.411473 0.237564i
\(326\) 20059.2i 3.40790i
\(327\) −1962.08 + 2039.90i −0.331814 + 0.344974i
\(328\) 11471.9 6623.31i 1.93119 1.11497i
\(329\) −2276.73 8430.16i −0.381521 1.41267i
\(330\) 2505.53 2604.91i 0.417955 0.434531i
\(331\) −844.559 1462.82i −0.140245 0.242912i 0.787344 0.616514i \(-0.211456\pi\)
−0.927589 + 0.373603i \(0.878122\pi\)
\(332\) 5671.82 + 9823.88i 0.937595 + 1.62396i
\(333\) −210.163 5401.94i −0.0345852 0.888963i
\(334\) 6226.25 + 3594.73i 1.02002 + 0.588907i
\(335\) 4636.99 8031.50i 0.756256 1.30987i
\(336\) −5848.44 + 3545.75i −0.949579 + 0.575704i
\(337\) 823.056 + 1425.57i 0.133041 + 0.230433i 0.924847 0.380339i \(-0.124193\pi\)
−0.791807 + 0.610772i \(0.790859\pi\)
\(338\) 13698.6i 2.20446i
\(339\) −276.329 265.787i −0.0442717 0.0425828i
\(340\) −5389.32 −0.859638
\(341\) 1088.49 1885.32i 0.172860 0.299402i
\(342\) 11912.7 7509.97i 1.88353 1.18741i
\(343\) 4518.43 + 4465.13i 0.711290 + 0.702899i
\(344\) −6552.43 3783.04i −1.02699 0.592930i
\(345\) −4268.03 + 1233.03i −0.666038 + 0.192418i
\(346\) 2096.18 + 1210.23i 0.325698 + 0.188042i
\(347\) −829.925 479.157i −0.128394 0.0741283i 0.434427 0.900707i \(-0.356951\pi\)
−0.562821 + 0.826579i \(0.690284\pi\)
\(348\) −15663.5 15065.9i −2.41279 2.32074i
\(349\) −4992.01 2882.14i −0.765662 0.442055i 0.0656629 0.997842i \(-0.479084\pi\)
−0.831325 + 0.555787i \(0.812417\pi\)
\(350\) 3477.44 939.153i 0.531078 0.143428i
\(351\) −9692.85 1999.89i −1.47398 0.304120i
\(352\) −178.298 + 308.822i −0.0269981 + 0.0467621i
\(353\) −2092.13 −0.315447 −0.157724 0.987483i \(-0.550416\pi\)
−0.157724 + 0.987483i \(0.550416\pi\)
\(354\) 4186.25 1209.41i 0.628522 0.181580i
\(355\) 4121.24i 0.616148i
\(356\) 5519.46 + 9559.99i 0.821716 + 1.42325i
\(357\) 2943.47 1784.55i 0.436373 0.264561i
\(358\) 2020.76 3500.05i 0.298325 0.516713i
\(359\) 7692.73 + 4441.40i 1.13094 + 0.652948i 0.944171 0.329456i \(-0.106865\pi\)
0.186768 + 0.982404i \(0.440199\pi\)
\(360\) 5441.76 + 8632.02i 0.796683 + 1.26374i
\(361\) 2169.97 + 3758.50i 0.316368 + 0.547966i
\(362\) 1524.51 + 2640.53i 0.221344 + 0.383379i
\(363\) −1583.74 5481.96i −0.228993 0.792639i
\(364\) −5468.05 + 20569.7i −0.787373 + 2.96193i
\(365\) 752.217 434.293i 0.107871 0.0622792i
\(366\) 6389.42 + 1579.57i 0.912515 + 0.225588i
\(367\) 7198.29i 1.02384i −0.859034 0.511918i \(-0.828935\pi\)
0.859034 0.511918i \(-0.171065\pi\)
\(368\) 5689.69 3284.94i 0.805966 0.465325i
\(369\) 7744.37 + 4078.31i 1.09256 + 0.575361i
\(370\) 9126.79i 1.28238i
\(371\) −5112.17 + 1380.64i −0.715393 + 0.193206i
\(372\) 8703.88 + 8371.84i 1.21310 + 1.16683i
\(373\) 5497.21 0.763096 0.381548 0.924349i \(-0.375391\pi\)
0.381548 + 0.924349i \(0.375391\pi\)
\(374\) 1345.05 2329.69i 0.185965 0.322101i
\(375\) −2193.65 7593.11i −0.302079 1.04562i
\(376\) 16685.5 9633.38i 2.28853 1.32129i
\(377\) −18111.2 −2.47421
\(378\) −11456.1 5722.98i −1.55883 0.778726i
\(379\) −2873.36 −0.389432 −0.194716 0.980860i \(-0.562379\pi\)
−0.194716 + 0.980860i \(0.562379\pi\)
\(380\) −13808.6 + 7972.37i −1.86412 + 1.07625i
\(381\) 3089.87 + 10695.3i 0.415482 + 1.43815i
\(382\) 3800.04 6581.86i 0.508971 0.881564i
\(383\) 1477.45 0.197112 0.0985561 0.995131i \(-0.468578\pi\)
0.0985561 + 0.995131i \(0.468578\pi\)
\(384\) 9068.43 + 8722.48i 1.20513 + 1.15916i
\(385\) 671.499 2526.04i 0.0888903 0.334387i
\(386\) 13851.6i 1.82650i
\(387\) −194.348 4995.45i −0.0255278 0.656157i
\(388\) 6554.41 3784.19i 0.857603 0.495137i
\(389\) 10500.0i 1.36857i −0.729215 0.684284i \(-0.760115\pi\)
0.729215 0.684284i \(-0.239885\pi\)
\(390\) 16220.4 + 4009.95i 2.10603 + 0.520645i
\(391\) −2863.57 + 1653.28i −0.370376 + 0.213837i
\(392\) −6959.98 + 12165.9i −0.896765 + 1.56753i
\(393\) −2972.13 10287.8i −0.381487 1.32048i
\(394\) −3951.78 6844.69i −0.505299 0.875204i
\(395\) 2142.22 + 3710.44i 0.272878 + 0.472639i
\(396\) −6706.94 + 260.934i −0.851102 + 0.0331122i
\(397\) −3627.85 2094.54i −0.458631 0.264791i 0.252838 0.967509i \(-0.418636\pi\)
−0.711468 + 0.702718i \(0.751970\pi\)
\(398\) 1699.06 2942.86i 0.213986 0.370634i
\(399\) 4901.92 8926.62i 0.615045 1.12003i
\(400\) 1402.27 + 2428.81i 0.175284 + 0.303601i
\(401\) 6712.82i 0.835966i −0.908455 0.417983i \(-0.862737\pi\)
0.908455 0.417983i \(-0.137263\pi\)
\(402\) −24670.8 + 7127.40i −3.06087 + 0.884284i
\(403\) 10064.1 1.24399
\(404\) −4139.15 + 7169.22i −0.509729 + 0.882876i
\(405\) −2907.31 + 6083.26i −0.356705 + 0.746369i
\(406\) −22648.2 6020.58i −2.76850 0.735951i
\(407\) −2645.97 1527.65i −0.322251 0.186052i
\(408\) 5473.77 + 5264.95i 0.664196 + 0.638858i
\(409\) 1922.39 + 1109.89i 0.232411 + 0.134183i 0.611684 0.791102i \(-0.290492\pi\)
−0.379273 + 0.925285i \(0.623826\pi\)
\(410\) −12797.0 7388.32i −1.54145 0.889959i
\(411\) 236.841 68.4233i 0.0284246 0.00821185i
\(412\) −9279.18 5357.34i −1.10959 0.640624i
\(413\) 2223.82 2232.63i 0.264956 0.266006i
\(414\) 10884.5 + 5731.96i 1.29214 + 0.680460i
\(415\) 3219.98 5577.17i 0.380874 0.659693i
\(416\) −1648.52 −0.194292
\(417\) 3083.50 + 2965.87i 0.362110 + 0.348296i
\(418\) 7958.88i 0.931295i
\(419\) 3763.65 + 6518.82i 0.438821 + 0.760061i 0.997599 0.0692569i \(-0.0220628\pi\)
−0.558778 + 0.829318i \(0.688729\pi\)
\(420\) 12709.5 + 6979.21i 1.47657 + 0.810835i
\(421\) 297.422 515.151i 0.0344311 0.0596363i −0.848296 0.529522i \(-0.822371\pi\)
0.882727 + 0.469885i \(0.155705\pi\)
\(422\) −19991.7 11542.2i −2.30612 1.33144i
\(423\) 11263.9 + 5931.76i 1.29473 + 0.681825i
\(424\) −5841.82 10118.3i −0.669113 1.15894i
\(425\) −705.752 1222.40i −0.0805506 0.139518i
\(426\) −7910.93 + 8224.69i −0.899731 + 0.935416i
\(427\) 4595.13 1241.01i 0.520782 0.140648i
\(428\) 13202.1 7622.23i 1.49100 0.860828i
\(429\) −3877.53 + 4031.32i −0.436385 + 0.453692i
\(430\) 8439.99i 0.946541i
\(431\) 9080.39 5242.57i 1.01482 0.585906i 0.102220 0.994762i \(-0.467405\pi\)
0.912599 + 0.408856i \(0.134072\pi\)
\(432\) 2014.81 9765.14i 0.224392 1.08756i
\(433\) 7417.04i 0.823188i 0.911367 + 0.411594i \(0.135028\pi\)
−0.911367 + 0.411594i \(0.864972\pi\)
\(434\) 12585.1 + 3345.52i 1.39195 + 0.370023i
\(435\) −2961.06 + 11977.6i −0.326372 + 1.32019i
\(436\) −8873.77 −0.974717
\(437\) −4891.38 + 8472.11i −0.535438 + 0.927405i
\(438\) −2334.83 577.208i −0.254709 0.0629682i
\(439\) −14857.3 + 8577.85i −1.61526 + 0.932570i −0.627136 + 0.778910i \(0.715773\pi\)
−0.988124 + 0.153660i \(0.950894\pi\)
\(440\) 5767.04 0.624847
\(441\) −9252.50 + 396.628i −0.999082 + 0.0428277i
\(442\) 12436.2 1.33830
\(443\) −1474.37 + 851.230i −0.158126 + 0.0912938i −0.576975 0.816762i \(-0.695767\pi\)
0.418849 + 0.908056i \(0.362434\pi\)
\(444\) 11749.5 12215.5i 1.25587 1.30568i
\(445\) 3133.48 5427.35i 0.333801 0.578160i
\(446\) −3872.80 −0.411172
\(447\) 5745.68 1659.92i 0.607967 0.175641i
\(448\) 8114.95 + 2157.20i 0.855793 + 0.227496i
\(449\) 10147.0i 1.06651i 0.845953 + 0.533257i \(0.179032\pi\)
−0.845953 + 0.533257i \(0.820968\pi\)
\(450\) −2446.85 + 4646.36i −0.256324 + 0.486737i
\(451\) 4283.94 2473.34i 0.447279 0.258237i
\(452\) 1202.06i 0.125089i
\(453\) 856.369 + 2964.25i 0.0888206 + 0.307445i
\(454\) −7719.68 + 4456.96i −0.798023 + 0.460739i
\(455\) 11665.4 3150.46i 1.20194 0.324607i
\(456\) 21813.3 + 5392.60i 2.24014 + 0.553797i
\(457\) −3479.42 6026.53i −0.356150 0.616869i 0.631164 0.775649i \(-0.282577\pi\)
−0.987314 + 0.158780i \(0.949244\pi\)
\(458\) −7066.26 12239.1i −0.720927 1.24868i
\(459\) −1014.03 + 4914.71i −0.103118 + 0.499780i
\(460\) −12062.4 6964.20i −1.22263 0.705886i
\(461\) −7791.99 + 13496.1i −0.787222 + 1.36351i 0.140441 + 0.990089i \(0.455148\pi\)
−0.927663 + 0.373419i \(0.878185\pi\)
\(462\) −6188.97 + 3752.20i −0.623240 + 0.377853i
\(463\) 6042.09 + 10465.2i 0.606479 + 1.05045i 0.991816 + 0.127677i \(0.0407520\pi\)
−0.385337 + 0.922776i \(0.625915\pi\)
\(464\) 18246.3i 1.82557i
\(465\) 1645.40 6655.73i 0.164094 0.663768i
\(466\) −13105.0 −1.30274
\(467\) 8837.65 15307.3i 0.875712 1.51678i 0.0197099 0.999806i \(-0.493726\pi\)
0.856002 0.516972i \(-0.172941\pi\)
\(468\) −16547.6 26248.7i −1.63443 2.59262i
\(469\) −13105.6 + 13157.6i −1.29032 + 1.29544i
\(470\) −18612.7 10746.1i −1.82668 1.05464i
\(471\) −42.2263 + 170.807i −0.00413096 + 0.0167099i
\(472\) 6021.31 + 3476.40i 0.587189 + 0.339014i
\(473\) −2446.86 1412.70i −0.237858 0.137327i
\(474\) 2847.18 11517.0i 0.275897 1.11602i
\(475\) −3616.56 2088.02i −0.349346 0.201695i
\(476\) 10429.8 + 2772.55i 1.00430 + 0.266974i
\(477\) 3597.11 6830.60i 0.345283 0.655664i
\(478\) 4765.56 8254.19i 0.456007 0.789828i
\(479\) −11188.3 −1.06724 −0.533618 0.845726i \(-0.679168\pi\)
−0.533618 + 0.845726i \(0.679168\pi\)
\(480\) −269.522 + 1090.23i −0.0256290 + 0.103671i
\(481\) 14124.5i 1.33892i
\(482\) 10200.3 + 17667.4i 0.963920 + 1.66956i
\(483\) 8894.10 190.544i 0.837879 0.0179505i
\(484\) 8944.99 15493.2i 0.840063 1.45503i
\(485\) −3721.04 2148.35i −0.348379 0.201137i
\(486\) 17479.2 6559.53i 1.63143 0.612236i
\(487\) 8832.68 + 15298.7i 0.821862 + 1.42351i 0.904294 + 0.426911i \(0.140398\pi\)
−0.0824315 + 0.996597i \(0.526269\pi\)
\(488\) 5250.98 + 9094.96i 0.487092 + 0.843667i
\(489\) −20530.1 5075.36i −1.89857 0.469357i
\(490\) 15634.9 61.8416i 1.44145 0.00570147i
\(491\) 7981.84 4608.32i 0.733636 0.423565i −0.0861147 0.996285i \(-0.527445\pi\)
0.819751 + 0.572720i \(0.194112\pi\)
\(492\) 7616.29 + 26363.1i 0.697905 + 2.41573i
\(493\) 9183.22i 0.838928i
\(494\) 31864.0 18396.7i 2.90209 1.67552i
\(495\) 2032.11 + 3223.44i 0.184518 + 0.292693i
\(496\) 10139.1i 0.917863i
\(497\) −2120.18 + 7975.68i −0.191354 + 0.719835i
\(498\) −17131.7 + 4949.35i −1.54155 + 0.445353i
\(499\) −461.057 −0.0413622 −0.0206811 0.999786i \(-0.506583\pi\)
−0.0206811 + 0.999786i \(0.506583\pi\)
\(500\) 12389.8 21459.8i 1.10818 1.91942i
\(501\) −5254.48 + 5462.88i −0.468569 + 0.487153i
\(502\) −1582.88 + 913.879i −0.140732 + 0.0812518i
\(503\) 12711.5 1.12679 0.563397 0.826186i \(-0.309494\pi\)
0.563397 + 0.826186i \(0.309494\pi\)
\(504\) −6090.47 19504.7i −0.538276 1.72383i
\(505\) 4699.72 0.414129
\(506\) 6020.97 3476.21i 0.528982 0.305408i
\(507\) −14020.2 3466.02i −1.22812 0.303612i
\(508\) −17451.7 + 30227.2i −1.52420 + 2.63999i
\(509\) −5598.28 −0.487504 −0.243752 0.969838i \(-0.578378\pi\)
−0.243752 + 0.969838i \(0.578378\pi\)
\(510\) 2033.22 8224.48i 0.176535 0.714091i
\(511\) −1679.16 + 453.491i −0.145365 + 0.0392588i
\(512\) 21572.3i 1.86205i
\(513\) 4672.12 + 14092.6i 0.402104 + 1.21287i
\(514\) −29236.3 + 16879.6i −2.50887 + 1.44850i
\(515\) 6082.89i 0.520474i
\(516\) 10865.4 11296.3i 0.926979 0.963745i
\(517\) 6230.84 3597.38i 0.530043 0.306020i
\(518\) 4695.30 17662.7i 0.398262 1.49818i
\(519\) −1769.02 + 1839.18i −0.149617 + 0.155551i
\(520\) 13330.3 + 23088.8i 1.12418 + 1.94714i
\(521\) 1390.74 + 2408.83i 0.116947 + 0.202558i 0.918556 0.395290i \(-0.129356\pi\)
−0.801609 + 0.597848i \(0.796023\pi\)
\(522\) 28901.0 18219.6i 2.42330 1.52769i
\(523\) −7662.01 4423.66i −0.640605 0.369853i 0.144243 0.989542i \(-0.453925\pi\)
−0.784848 + 0.619689i \(0.787259\pi\)
\(524\) 16786.7 29075.4i 1.39949 2.42398i
\(525\) 81.3393 + 3796.70i 0.00676179 + 0.315622i
\(526\) −12989.7 22498.8i −1.07676 1.86500i
\(527\) 5102.94i 0.421798i
\(528\) −4061.39 3906.45i −0.334752 0.321982i
\(529\) 3621.35 0.297637
\(530\) −6516.57 + 11287.0i −0.534079 + 0.925051i
\(531\) 178.595 + 4590.53i 0.0145958 + 0.375164i
\(532\) 30824.6 8324.80i 2.51206 0.678432i
\(533\) 19804.4 + 11434.1i 1.60943 + 0.929203i
\(534\) −16671.5 + 4816.40i −1.35103 + 0.390311i
\(535\) −7495.03 4327.26i −0.605679 0.349689i
\(536\) −35485.4 20487.5i −2.85958 1.65098i
\(537\) 3070.93 + 2953.77i 0.246779 + 0.237365i
\(538\) −4724.66 2727.78i −0.378614 0.218593i
\(539\) −2599.05 + 4543.10i −0.207698 + 0.363052i
\(540\) −20064.6 + 6652.03i −1.59897 + 0.530107i
\(541\) 5968.54 10337.8i 0.474321 0.821548i −0.525247 0.850950i \(-0.676027\pi\)
0.999568 + 0.0294020i \(0.00936029\pi\)
\(542\) −24801.1 −1.96550
\(543\) −3088.25 + 892.194i −0.244069 + 0.0705114i
\(544\) 835.876i 0.0658785i
\(545\) 2518.89 + 4362.85i 0.197977 + 0.342906i
\(546\) −29327.9 16104.9i −2.29875 1.26232i
\(547\) −3335.96 + 5778.05i −0.260759 + 0.451648i −0.966444 0.256878i \(-0.917306\pi\)
0.705685 + 0.708526i \(0.250640\pi\)
\(548\) 669.363 + 386.457i 0.0521784 + 0.0301252i
\(549\) −3233.29 + 6139.75i −0.251355 + 0.477301i
\(550\) 1483.92 + 2570.22i 0.115045 + 0.199263i
\(551\) 13584.6 + 23529.3i 1.05032 + 1.81920i
\(552\) 5447.87 + 18857.3i 0.420067 + 1.45402i
\(553\) −2236.92 8282.74i −0.172014 0.636922i
\(554\) −37353.2 + 21565.9i −2.86460 + 1.65388i
\(555\) −9341.04 2309.25i −0.714424 0.176617i
\(556\) 13413.6i 1.02313i
\(557\) −18890.9 + 10906.6i −1.43704 + 0.829675i −0.997643 0.0686176i \(-0.978141\pi\)
−0.439397 + 0.898293i \(0.644808\pi\)
\(558\) −16059.7 + 10124.3i −1.21839 + 0.768093i
\(559\) 13061.6i 0.988279i
\(560\) 3173.96 + 11752.4i 0.239508 + 0.886836i
\(561\) 2044.06 + 1966.08i 0.153833 + 0.147965i
\(562\) 33288.4 2.49855
\(563\) −3934.60 + 6814.92i −0.294536 + 0.510151i −0.974877 0.222745i \(-0.928498\pi\)
0.680341 + 0.732896i \(0.261832\pi\)
\(564\) 11077.6 + 38344.2i 0.827043 + 2.86274i
\(565\) −591.001 + 341.214i −0.0440064 + 0.0254071i
\(566\) −3722.81 −0.276469
\(567\) 8755.96 10277.0i 0.648528 0.761190i
\(568\) −18208.7 −1.34511
\(569\) 8743.96 5048.33i 0.644228 0.371945i −0.142013 0.989865i \(-0.545358\pi\)
0.786241 + 0.617919i \(0.212024\pi\)
\(570\) −6956.86 24080.6i −0.511212 1.76951i
\(571\) 4725.12 8184.15i 0.346305 0.599818i −0.639285 0.768970i \(-0.720770\pi\)
0.985590 + 0.169152i \(0.0541029\pi\)
\(572\) −17536.7 −1.28190
\(573\) 5774.89 + 5554.59i 0.421029 + 0.404967i
\(574\) 20964.5 + 20881.8i 1.52446 + 1.51845i
\(575\) 3647.96i 0.264574i
\(576\) −10355.4 + 6528.18i −0.749086 + 0.472235i
\(577\) 22282.2 12864.6i 1.60766 0.928184i 0.617770 0.786359i \(-0.288036\pi\)
0.989892 0.141825i \(-0.0452970\pi\)
\(578\) 17908.5i 1.28875i
\(579\) −14176.8 3504.73i −1.01756 0.251557i
\(580\) −33500.4 + 19341.4i −2.39832 + 1.38467i
\(581\) −9100.70 + 9136.77i −0.649846 + 0.652422i
\(582\) 3302.17 + 11430.2i 0.235188 + 0.814081i
\(583\) −2181.50 3778.48i −0.154972 0.268419i
\(584\) −1918.82 3323.50i −0.135961 0.235492i
\(585\) −8208.16 + 15586.6i −0.580112 + 1.10158i
\(586\) 33714.8 + 19465.2i 2.37670 + 1.37219i
\(587\) 7519.63 13024.4i 0.528736 0.915798i −0.470702 0.882292i \(-0.655999\pi\)
0.999439 0.0335059i \(-0.0106673\pi\)
\(588\) −21005.7 20045.0i −1.47323 1.40586i
\(589\) −7548.72 13074.8i −0.528081 0.914663i
\(590\) 7755.87i 0.541194i
\(591\) 8005.25 2312.71i 0.557177 0.160968i
\(592\) 14229.8 0.987911
\(593\) −1728.25 + 2993.41i −0.119681 + 0.207293i −0.919641 0.392760i \(-0.871520\pi\)
0.799960 + 0.600053i \(0.204854\pi\)
\(594\) 2132.12 10333.7i 0.147276 0.713800i
\(595\) −1597.43 5914.87i −0.110064 0.407539i
\(596\) 16238.5 + 9375.31i 1.11603 + 0.644341i
\(597\) 2582.05 + 2483.55i 0.177012 + 0.170260i
\(598\) 27834.6 + 16070.3i 1.90341 + 1.09894i
\(599\) −3692.69 2131.97i −0.251885 0.145426i 0.368742 0.929532i \(-0.379789\pi\)
−0.620627 + 0.784106i \(0.713122\pi\)
\(600\) −8049.79 + 2325.58i −0.547719 + 0.158236i
\(601\) 18500.7 + 10681.4i 1.25567 + 0.724963i 0.972230 0.234026i \(-0.0751902\pi\)
0.283442 + 0.958989i \(0.408524\pi\)
\(602\) 4341.97 16333.6i 0.293963 1.10583i
\(603\) −1052.51 27053.4i −0.0710807 1.82703i
\(604\) −4836.80 + 8377.59i −0.325839 + 0.564369i
\(605\) −10156.4 −0.682508
\(606\) −9379.16 9021.36i −0.628717 0.604732i
\(607\) 12892.4i 0.862087i −0.902331 0.431043i \(-0.858146\pi\)
0.902331 0.431043i \(-0.141854\pi\)
\(608\) 1236.50 + 2141.69i 0.0824783 + 0.142857i
\(609\) 11892.3 21656.5i 0.791300 1.44100i
\(610\) 5857.48 10145.5i 0.388791 0.673406i
\(611\) 28804.8 + 16630.5i 1.90723 + 1.10114i
\(612\) −13309.3 + 8390.36i −0.879076 + 0.554184i
\(613\) −2804.94 4858.29i −0.184813 0.320105i 0.758701 0.651439i \(-0.225835\pi\)
−0.943513 + 0.331334i \(0.892501\pi\)
\(614\) −4226.32 7320.19i −0.277785 0.481138i
\(615\) 10799.6 11228.0i 0.708104 0.736188i
\(616\) −11160.7 2966.87i −0.729998 0.194056i
\(617\) 18116.5 10459.6i 1.18208 0.682473i 0.225583 0.974224i \(-0.427571\pi\)
0.956494 + 0.291751i \(0.0942378\pi\)
\(618\) 11676.4 12139.5i 0.760024 0.790167i
\(619\) 12344.6i 0.801568i 0.916173 + 0.400784i \(0.131262\pi\)
−0.916173 + 0.400784i \(0.868738\pi\)
\(620\) 18615.5 10747.7i 1.20583 0.696188i
\(621\) −8620.51 + 9689.73i −0.557052 + 0.626144i
\(622\) 15537.8i 1.00162i
\(623\) −8856.23 + 8891.33i −0.569530 + 0.571788i
\(624\) 6252.03 25289.7i 0.401092 1.62244i
\(625\) −9135.04 −0.584642
\(626\) 13369.0 23155.8i 0.853569 1.47842i
\(627\) 8145.72 + 2013.75i 0.518833 + 0.128264i
\(628\) −477.733 + 275.819i −0.0303561 + 0.0175261i
\(629\) −7161.76 −0.453987
\(630\) −15445.7 + 16762.5i −0.976778 + 1.06006i
\(631\) −5767.92 −0.363894 −0.181947 0.983308i \(-0.558240\pi\)
−0.181947 + 0.983308i \(0.558240\pi\)
\(632\) 16393.7 9464.92i 1.03182 0.595719i
\(633\) 16871.5 17540.6i 1.05937 1.10139i
\(634\) −3441.11 + 5960.18i −0.215558 + 0.373358i
\(635\) 19815.2 1.23833
\(636\) 23252.5 6717.64i 1.44972 0.418823i
\(637\) −24196.3 + 95.7053i −1.50501 + 0.00595288i
\(638\) 19308.7i 1.19818i
\(639\) −6416.15 10177.6i −0.397213 0.630080i
\(640\) 19395.2 11197.8i 1.19791 0.691613i
\(641\) 27080.3i 1.66866i −0.551268 0.834328i \(-0.685856\pi\)
0.551268 0.834328i \(-0.314144\pi\)
\(642\) 6651.32 + 23022.9i 0.408889 + 1.41533i
\(643\) −14289.4 + 8250.01i −0.876392 + 0.505985i −0.869467 0.493991i \(-0.835538\pi\)
−0.00692488 + 0.999976i \(0.502204\pi\)
\(644\) 19761.1 + 19683.1i 1.20915 + 1.20438i
\(645\) −8638.12 2135.48i −0.527327 0.130364i
\(646\) −9327.96 16156.5i −0.568117 0.984008i
\(647\) −1814.64 3143.04i −0.110264 0.190983i 0.805613 0.592442i \(-0.201836\pi\)
−0.915877 + 0.401460i \(0.868503\pi\)
\(648\) 26877.5 + 12845.3i 1.62940 + 0.778720i
\(649\) 2248.53 + 1298.19i 0.135998 + 0.0785183i
\(650\) −6860.07 + 11882.0i −0.413960 + 0.717000i
\(651\) −6608.34 + 12034.1i −0.397851 + 0.724507i
\(652\) −33151.9 57420.8i −1.99130 3.44904i
\(653\) 23075.3i 1.38286i 0.722444 + 0.691430i \(0.243019\pi\)
−0.722444 + 0.691430i \(0.756981\pi\)
\(654\) 3347.80 13542.0i 0.200167 0.809685i
\(655\) −19060.2 −1.13701
\(656\) −11519.4 + 19952.1i −0.685603 + 1.18750i
\(657\) 1181.52 2243.60i 0.0701603 0.133229i
\(658\) 30492.2 + 30371.8i 1.80655 + 1.79942i
\(659\) 4090.21 + 2361.48i 0.241778 + 0.139591i 0.615994 0.787751i \(-0.288755\pi\)
−0.374215 + 0.927342i \(0.622088\pi\)
\(660\) −2867.12 + 11597.6i −0.169095 + 0.683997i
\(661\) −2370.90 1368.84i −0.139512 0.0805471i 0.428620 0.903485i \(-0.359000\pi\)
−0.568131 + 0.822938i \(0.692333\pi\)
\(662\) 7209.64 + 4162.49i 0.423279 + 0.244380i
\(663\) −3146.59 + 12728.1i −0.184319 + 0.745579i
\(664\) −24641.5 14226.8i −1.44017 0.831484i
\(665\) −12842.7 12792.0i −0.748903 0.745946i
\(666\) 14209.0 + 22539.2i 0.826710 + 1.31137i
\(667\) −11866.8 + 20553.8i −0.688880 + 1.19318i
\(668\) −23764.1 −1.37644
\(669\) 979.894 3963.72i 0.0566291 0.229068i
\(670\) 45707.7i 2.63558i
\(671\) 1960.87 + 3396.32i 0.112814 + 0.195400i
\(672\) 1082.47 1971.22i 0.0621384 0.113157i
\(673\) 9072.16 15713.4i 0.519623 0.900013i −0.480117 0.877204i \(-0.659406\pi\)
0.999740 0.0228084i \(-0.00726078\pi\)
\(674\) −7026.08 4056.51i −0.401535 0.231826i
\(675\) −4136.34 3679.91i −0.235863 0.209837i
\(676\) −22639.8 39213.3i −1.28811 2.23107i
\(677\) −12329.9 21355.9i −0.699963 1.21237i −0.968479 0.249097i \(-0.919866\pi\)
0.268515 0.963275i \(-0.413467\pi\)
\(678\) 1834.43 + 453.500i 0.103910 + 0.0256882i
\(679\) 6095.98 + 6071.92i 0.344539 + 0.343179i
\(680\) 11707.1 6759.08i 0.660214 0.381175i
\(681\) −2608.36 9028.60i −0.146773 0.508042i
\(682\) 10729.5i 0.602423i
\(683\) −13961.0 + 8060.40i −0.782143 + 0.451570i −0.837189 0.546913i \(-0.815803\pi\)
0.0550463 + 0.998484i \(0.482469\pi\)
\(684\) −21689.3 + 41186.1i −1.21244 + 2.30232i
\(685\) 438.795i 0.0244752i
\(686\) −30289.4 7923.71i −1.68579 0.441004i
\(687\) 14314.3 4135.41i 0.794944 0.229659i
\(688\) 13159.0 0.729192
\(689\) 10085.0 17467.7i 0.557629 0.965842i
\(690\) 15178.6 15780.6i 0.837450 0.870664i
\(691\) −9861.10 + 5693.31i −0.542886 + 0.313435i −0.746248 0.665668i \(-0.768147\pi\)
0.203362 + 0.979104i \(0.434813\pi\)
\(692\) −8000.64 −0.439507
\(693\) −2274.36 7283.63i −0.124669 0.399253i
\(694\) 4723.14 0.258340
\(695\) 6594.87 3807.55i 0.359939 0.207811i
\(696\) 52920.4 + 13082.8i 2.88210 + 0.712501i
\(697\) 5797.60 10041.7i 0.315064 0.545707i
\(698\) 28409.8 1.54058
\(699\) 3315.82 13412.6i 0.179422 0.725769i
\(700\) −8402.29 + 8435.59i −0.453681 + 0.455479i
\(701\) 19448.3i 1.04786i 0.851761 + 0.523930i \(0.175535\pi\)
−0.851761 + 0.523930i \(0.824465\pi\)
\(702\) 46300.2 15349.9i 2.48930 0.825280i
\(703\) −18349.9 + 10594.3i −0.984466 + 0.568382i
\(704\) 6918.40i 0.370379i
\(705\) 15707.7 16330.7i 0.839130 0.872411i
\(706\) 8929.82 5155.63i 0.476031 0.274837i
\(707\) −9095.20 2417.78i −0.483819 0.128614i
\(708\) −9984.66 + 10380.7i −0.530009 + 0.551030i
\(709\) 12475.9 + 21608.8i 0.660847 + 1.14462i 0.980393 + 0.197050i \(0.0631363\pi\)
−0.319546 + 0.947571i \(0.603530\pi\)
\(710\) 10156.0 + 17590.6i 0.536826 + 0.929809i
\(711\) 11066.9 + 5828.03i 0.583745 + 0.307410i
\(712\) −23979.5 13844.6i −1.26218 0.728719i
\(713\) 6594.13 11421.4i 0.346356 0.599907i
\(714\) −8165.93 + 14870.5i −0.428014 + 0.779434i
\(715\) 4977.93 + 8622.02i 0.260369 + 0.450973i
\(716\) 13358.9i 0.697268i
\(717\) 7242.18 + 6965.90i 0.377216 + 0.362826i
\(718\) −43779.7 −2.27555
\(719\) −3243.11 + 5617.23i −0.168216 + 0.291359i −0.937793 0.347195i \(-0.887134\pi\)
0.769576 + 0.638555i \(0.220467\pi\)
\(720\) −15702.9 8269.38i −0.812793 0.428030i
\(721\) 3129.36 11772.0i 0.161641 0.608061i
\(722\) −18524.1 10694.9i −0.954843 0.551279i
\(723\) −20663.0 + 5969.53i −1.06288 + 0.307067i
\(724\) −8728.05 5039.14i −0.448032 0.258671i
\(725\) −8774.00 5065.67i −0.449459 0.259496i
\(726\) 20269.0 + 19495.8i 1.03616 + 0.996634i
\(727\) 12957.4 + 7480.97i 0.661023 + 0.381642i 0.792667 0.609655i \(-0.208692\pi\)
−0.131643 + 0.991297i \(0.542025\pi\)
\(728\) −13919.6 51540.7i −0.708647 2.62394i
\(729\) 2290.94 + 19549.2i 0.116392 + 0.993203i
\(730\) −2140.45 + 3707.37i −0.108523 + 0.187967i
\(731\) −6622.84 −0.335095
\(732\) −20900.7 + 6038.22i −1.05535 + 0.304889i
\(733\) 12098.0i 0.609617i 0.952414 + 0.304808i \(0.0985925\pi\)
−0.952414 + 0.304808i \(0.901408\pi\)
\(734\) 17738.7 + 30724.4i 0.892028 + 1.54504i
\(735\) −3892.63 + 16017.5i −0.195349 + 0.803831i
\(736\) −1080.14 + 1870.85i −0.0540957 + 0.0936964i
\(737\) −13251.2 7650.61i −0.662301 0.382380i
\(738\) −43105.4 + 1677.02i −2.15004 + 0.0836475i
\(739\) 1933.82 + 3349.47i 0.0962606 + 0.166728i 0.910134 0.414314i \(-0.135978\pi\)
−0.813873 + 0.581042i \(0.802645\pi\)
\(740\) −15083.9 26126.1i −0.749318 1.29786i
\(741\) 10766.4 + 37266.8i 0.533754 + 1.84754i
\(742\) 18417.9 18490.9i 0.911244 0.914855i
\(743\) −25571.4 + 14763.7i −1.26262 + 0.728972i −0.973580 0.228346i \(-0.926668\pi\)
−0.289037 + 0.957318i \(0.593335\pi\)
\(744\) −29406.8 7269.84i −1.44907 0.358233i
\(745\) 10645.0i 0.523494i
\(746\) −23463.7 + 13546.8i −1.15156 + 0.664855i
\(747\) −730.879 18786.2i −0.0357985 0.920148i
\(748\) 8891.90i 0.434652i
\(749\) 12278.7 + 12230.2i 0.599003 + 0.596639i
\(750\) 28074.8 + 27003.8i 1.36686 + 1.31472i
\(751\) 6081.58 0.295499 0.147750 0.989025i \(-0.452797\pi\)
0.147750 + 0.989025i \(0.452797\pi\)
\(752\) −16754.5 + 29019.6i −0.812465 + 1.40723i
\(753\) −534.832 1851.27i −0.0258836 0.0895938i
\(754\) 77304.0 44631.5i 3.73375 2.15568i
\(755\) 5491.86 0.264727
\(756\) 42252.4 2551.16i 2.03268 0.122731i
\(757\) −27611.0 −1.32568 −0.662840 0.748761i \(-0.730649\pi\)
−0.662840 + 0.748761i \(0.730649\pi\)
\(758\) 12264.3 7080.82i 0.587679 0.339297i
\(759\) 2034.39 + 7041.86i 0.0972908 + 0.336763i
\(760\) 19997.3 34636.3i 0.954445 1.65315i
\(761\) −9596.16 −0.457110 −0.228555 0.973531i \(-0.573400\pi\)
−0.228555 + 0.973531i \(0.573400\pi\)
\(762\) −39544.8 38036.3i −1.88000 1.80828i
\(763\) −2630.24 9739.10i −0.124798 0.462096i
\(764\) 25121.4i 1.18961i
\(765\) 7903.11 + 4161.91i 0.373513 + 0.196698i
\(766\) −6306.17 + 3640.87i −0.297456 + 0.171736i
\(767\) 12002.9i 0.565058i
\(768\) −41905.5 10359.7i −1.96892 0.486749i
\(769\) 612.746 353.769i 0.0287337 0.0165894i −0.485564 0.874201i \(-0.661386\pi\)
0.514298 + 0.857612i \(0.328053\pi\)
\(770\) 3358.76 + 12436.6i 0.157197 + 0.582059i
\(771\) −9878.50 34193.5i −0.461434 1.59721i
\(772\) −22892.7 39651.3i −1.06726 1.84855i
\(773\) 2632.55 + 4559.71i 0.122492 + 0.212162i 0.920750 0.390154i \(-0.127578\pi\)