Properties

Label 63.4.s.a.47.2
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 47.2
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.33849 + 2.50483i) q^{2} +(-5.18070 + 0.400483i) q^{3} +(8.54831 - 14.8061i) q^{4} +18.5684 q^{5} +(21.4732 - 14.7142i) q^{6} +(-17.9322 - 4.62983i) q^{7} +45.5709i q^{8} +(26.6792 - 4.14956i) q^{9} +O(q^{10})\) \(q+(-4.33849 + 2.50483i) q^{2} +(-5.18070 + 0.400483i) q^{3} +(8.54831 - 14.8061i) q^{4} +18.5684 q^{5} +(21.4732 - 14.7142i) q^{6} +(-17.9322 - 4.62983i) q^{7} +45.5709i q^{8} +(26.6792 - 4.14956i) q^{9} +(-80.5586 + 46.5105i) q^{10} +35.1341i q^{11} +(-38.3566 + 80.1294i) q^{12} +(3.94292 - 2.27645i) q^{13} +(89.3956 - 24.8307i) q^{14} +(-96.1970 + 7.43631i) q^{15} +(-45.7606 - 79.2597i) q^{16} +(20.7867 + 36.0037i) q^{17} +(-105.354 + 84.8296i) q^{18} +(64.8837 + 37.4606i) q^{19} +(158.728 - 274.925i) q^{20} +(94.7556 + 16.8042i) q^{21} +(-88.0048 - 152.429i) q^{22} +152.700i q^{23} +(-18.2504 - 236.089i) q^{24} +219.784 q^{25} +(-11.4042 + 19.7527i) q^{26} +(-136.555 + 32.1822i) q^{27} +(-221.840 + 225.929i) q^{28} +(42.5645 + 24.5746i) q^{29} +(398.723 - 273.219i) q^{30} +(87.6525 + 50.6062i) q^{31} +(81.3395 + 46.9614i) q^{32} +(-14.0706 - 182.019i) q^{33} +(-180.366 - 104.134i) q^{34} +(-332.972 - 85.9684i) q^{35} +(166.623 - 430.487i) q^{36} +(2.86552 - 4.96323i) q^{37} -375.330 q^{38} +(-19.5154 + 13.3727i) q^{39} +846.176i q^{40} +(-6.35071 - 10.9998i) q^{41} +(-453.187 + 164.442i) q^{42} +(69.1907 - 119.842i) q^{43} +(520.199 + 300.337i) q^{44} +(495.390 - 77.0506i) q^{45} +(-382.486 - 662.486i) q^{46} +(269.089 + 466.076i) q^{47} +(268.814 + 392.294i) q^{48} +(300.129 + 166.046i) q^{49} +(-953.530 + 550.521i) q^{50} +(-122.109 - 178.199i) q^{51} -77.8390i q^{52} +(105.466 - 60.8907i) q^{53} +(511.832 - 481.669i) q^{54} +652.382i q^{55} +(210.985 - 817.187i) q^{56} +(-351.145 - 168.087i) q^{57} -246.220 q^{58} +(156.280 - 270.684i) q^{59} +(-712.219 + 1487.87i) q^{60} +(-436.557 + 252.047i) q^{61} -507.039 q^{62} +(-497.630 - 49.1094i) q^{63} +261.650 q^{64} +(73.2136 - 42.2699i) q^{65} +(516.971 + 754.442i) q^{66} +(327.373 - 567.026i) q^{67} +710.766 q^{68} +(-61.1537 - 791.091i) q^{69} +(1659.93 - 461.065i) q^{70} -891.951i q^{71} +(189.099 + 1215.80i) q^{72} +(-315.436 + 182.117i) q^{73} +28.7105i q^{74} +(-1138.63 + 88.0198i) q^{75} +(1109.29 - 640.450i) q^{76} +(162.665 - 630.032i) q^{77} +(51.1711 - 106.900i) q^{78} +(-242.587 - 420.173i) q^{79} +(-849.700 - 1471.72i) q^{80} +(694.562 - 221.414i) q^{81} +(55.1049 + 31.8149i) q^{82} +(-248.712 + 430.783i) q^{83} +(1058.80 - 1259.31i) q^{84} +(385.976 + 668.530i) q^{85} +693.243i q^{86} +(-230.355 - 110.267i) q^{87} -1601.09 q^{88} +(-685.285 + 1186.95i) q^{89} +(-1956.24 + 1575.15i) q^{90} +(-81.2449 + 22.5667i) q^{91} +(2260.89 + 1305.32i) q^{92} +(-474.368 - 227.072i) q^{93} +(-2334.88 - 1348.04i) q^{94} +(1204.78 + 695.583i) q^{95} +(-440.203 - 210.718i) q^{96} +(-205.065 - 118.394i) q^{97} +(-1718.02 + 31.3824i) q^{98} +(145.791 + 937.350i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.33849 + 2.50483i −1.53389 + 0.885590i −0.534709 + 0.845036i \(0.679579\pi\)
−0.999177 + 0.0405535i \(0.987088\pi\)
\(3\) −5.18070 + 0.400483i −0.997025 + 0.0770730i
\(4\) 8.54831 14.8061i 1.06854 1.85076i
\(5\) 18.5684 1.66080 0.830402 0.557164i \(-0.188111\pi\)
0.830402 + 0.557164i \(0.188111\pi\)
\(6\) 21.4732 14.7142i 1.46107 1.00118i
\(7\) −17.9322 4.62983i −0.968249 0.249987i
\(8\) 45.5709i 2.01397i
\(9\) 26.6792 4.14956i 0.988120 0.153687i
\(10\) −80.5586 + 46.5105i −2.54749 + 1.47079i
\(11\) 35.1341i 0.963029i 0.876438 + 0.481515i \(0.159913\pi\)
−0.876438 + 0.481515i \(0.840087\pi\)
\(12\) −38.3566 + 80.1294i −0.922716 + 1.92761i
\(13\) 3.94292 2.27645i 0.0841207 0.0485671i −0.457350 0.889287i \(-0.651201\pi\)
0.541470 + 0.840720i \(0.317868\pi\)
\(14\) 89.3956 24.8307i 1.70657 0.474019i
\(15\) −96.1970 + 7.43631i −1.65586 + 0.128003i
\(16\) −45.7606 79.2597i −0.715010 1.23843i
\(17\) 20.7867 + 36.0037i 0.296560 + 0.513658i 0.975347 0.220678i \(-0.0708271\pi\)
−0.678786 + 0.734336i \(0.737494\pi\)
\(18\) −105.354 + 84.8296i −1.37956 + 1.11081i
\(19\) 64.8837 + 37.4606i 0.783439 + 0.452319i 0.837648 0.546211i \(-0.183930\pi\)
−0.0542084 + 0.998530i \(0.517264\pi\)
\(20\) 158.728 274.925i 1.77463 3.07376i
\(21\) 94.7556 + 16.8042i 0.984636 + 0.174618i
\(22\) −88.0048 152.429i −0.852849 1.47718i
\(23\) 152.700i 1.38435i 0.721728 + 0.692176i \(0.243348\pi\)
−0.721728 + 0.692176i \(0.756652\pi\)
\(24\) −18.2504 236.089i −0.155222 2.00798i
\(25\) 219.784 1.75827
\(26\) −11.4042 + 19.7527i −0.0860211 + 0.148993i
\(27\) −136.555 + 32.1822i −0.973335 + 0.229388i
\(28\) −221.840 + 225.929i −1.49728 + 1.52488i
\(29\) 42.5645 + 24.5746i 0.272552 + 0.157358i 0.630047 0.776557i \(-0.283036\pi\)
−0.357495 + 0.933915i \(0.616369\pi\)
\(30\) 398.723 273.219i 2.42655 1.66276i
\(31\) 87.6525 + 50.6062i 0.507834 + 0.293198i 0.731943 0.681366i \(-0.238614\pi\)
−0.224109 + 0.974564i \(0.571947\pi\)
\(32\) 81.3395 + 46.9614i 0.449342 + 0.259428i
\(33\) −14.0706 182.019i −0.0742236 0.960165i
\(34\) −180.366 104.134i −0.909780 0.525262i
\(35\) −332.972 85.9684i −1.60807 0.415180i
\(36\) 166.623 430.487i 0.771404 1.99300i
\(37\) 2.86552 4.96323i 0.0127321 0.0220527i −0.859589 0.510986i \(-0.829280\pi\)
0.872321 + 0.488933i \(0.162614\pi\)
\(38\) −375.330 −1.60228
\(39\) −19.5154 + 13.3727i −0.0801273 + 0.0549061i
\(40\) 846.176i 3.34481i
\(41\) −6.35071 10.9998i −0.0241906 0.0418993i 0.853677 0.520803i \(-0.174368\pi\)
−0.877867 + 0.478904i \(0.841034\pi\)
\(42\) −453.187 + 164.442i −1.66496 + 0.604140i
\(43\) 69.1907 119.842i 0.245383 0.425016i −0.716856 0.697221i \(-0.754420\pi\)
0.962239 + 0.272205i \(0.0877528\pi\)
\(44\) 520.199 + 300.337i 1.78234 + 1.02903i
\(45\) 495.390 77.0506i 1.64107 0.255245i
\(46\) −382.486 662.486i −1.22597 2.12344i
\(47\) 269.089 + 466.076i 0.835121 + 1.44647i 0.893932 + 0.448203i \(0.147936\pi\)
−0.0588112 + 0.998269i \(0.518731\pi\)
\(48\) 268.814 + 392.294i 0.808333 + 1.17964i
\(49\) 300.129 + 166.046i 0.875013 + 0.484100i
\(50\) −953.530 + 550.521i −2.69699 + 1.55711i
\(51\) −122.109 178.199i −0.335267 0.489273i
\(52\) 77.8390i 0.207583i
\(53\) 105.466 60.8907i 0.273337 0.157811i −0.357066 0.934079i \(-0.616223\pi\)
0.630403 + 0.776268i \(0.282890\pi\)
\(54\) 511.832 481.669i 1.28984 1.21383i
\(55\) 652.382i 1.59940i
\(56\) 210.985 817.187i 0.503466 1.95002i
\(57\) −351.145 168.087i −0.815971 0.390591i
\(58\) −246.220 −0.557419
\(59\) 156.280 270.684i 0.344845 0.597290i −0.640480 0.767975i \(-0.721265\pi\)
0.985326 + 0.170685i \(0.0545980\pi\)
\(60\) −712.219 + 1487.87i −1.53245 + 3.20139i
\(61\) −436.557 + 252.047i −0.916319 + 0.529037i −0.882459 0.470390i \(-0.844113\pi\)
−0.0338600 + 0.999427i \(0.510780\pi\)
\(62\) −507.039 −1.03861
\(63\) −497.630 49.1094i −0.995166 0.0982095i
\(64\) 261.650 0.511034
\(65\) 73.2136 42.2699i 0.139708 0.0806605i
\(66\) 516.971 + 754.442i 0.964163 + 1.40705i
\(67\) 327.373 567.026i 0.596939 1.03393i −0.396331 0.918108i \(-0.629717\pi\)
0.993270 0.115821i \(-0.0369500\pi\)
\(68\) 710.766 1.26754
\(69\) −61.1537 791.091i −0.106696 1.38023i
\(70\) 1659.93 461.065i 2.83428 0.787254i
\(71\) 891.951i 1.49092i −0.666552 0.745459i \(-0.732230\pi\)
0.666552 0.745459i \(-0.267770\pi\)
\(72\) 189.099 + 1215.80i 0.309521 + 1.99004i
\(73\) −315.436 + 182.117i −0.505740 + 0.291989i −0.731081 0.682291i \(-0.760984\pi\)
0.225341 + 0.974280i \(0.427650\pi\)
\(74\) 28.7105i 0.0451018i
\(75\) −1138.63 + 88.0198i −1.75304 + 0.135515i
\(76\) 1109.29 640.450i 1.67427 0.966640i
\(77\) 162.665 630.032i 0.240745 0.932452i
\(78\) 51.1711 106.900i 0.0742819 0.155180i
\(79\) −242.587 420.173i −0.345483 0.598394i 0.639958 0.768410i \(-0.278952\pi\)
−0.985441 + 0.170016i \(0.945618\pi\)
\(80\) −849.700 1471.72i −1.18749 2.05680i
\(81\) 694.562 221.414i 0.952760 0.303723i
\(82\) 55.1049 + 31.8149i 0.0742113 + 0.0428459i
\(83\) −248.712 + 430.783i −0.328912 + 0.569693i −0.982296 0.187334i \(-0.940015\pi\)
0.653384 + 0.757027i \(0.273349\pi\)
\(84\) 1058.80 1259.31i 1.37530 1.63574i
\(85\) 385.976 + 668.530i 0.492529 + 0.853085i
\(86\) 693.243i 0.869236i
\(87\) −230.355 110.267i −0.283870 0.135884i
\(88\) −1601.09 −1.93951
\(89\) −685.285 + 1186.95i −0.816181 + 1.41367i 0.0922965 + 0.995732i \(0.470579\pi\)
−0.908477 + 0.417935i \(0.862754\pi\)
\(90\) −1956.24 + 1575.15i −2.29118 + 1.84483i
\(91\) −81.2449 + 22.5667i −0.0935910 + 0.0259960i
\(92\) 2260.89 + 1305.32i 2.56211 + 1.47923i
\(93\) −474.368 227.072i −0.528921 0.253186i
\(94\) −2334.88 1348.04i −2.56196 1.47915i
\(95\) 1204.78 + 695.583i 1.30114 + 0.751213i
\(96\) −440.203 210.718i −0.468000 0.224024i
\(97\) −205.065 118.394i −0.214652 0.123929i 0.388820 0.921314i \(-0.372883\pi\)
−0.603471 + 0.797385i \(0.706216\pi\)
\(98\) −1718.02 + 31.3824i −1.77088 + 0.0323480i
\(99\) 145.791 + 937.350i 0.148006 + 0.951588i
\(100\) 1878.78 3254.15i 1.87878 3.25415i
\(101\) −354.109 −0.348863 −0.174431 0.984669i \(-0.555809\pi\)
−0.174431 + 0.984669i \(0.555809\pi\)
\(102\) 976.125 + 467.255i 0.947557 + 0.453580i
\(103\) 1257.38i 1.20285i −0.798929 0.601426i \(-0.794600\pi\)
0.798929 0.601426i \(-0.205400\pi\)
\(104\) 103.740 + 179.682i 0.0978126 + 0.169416i
\(105\) 1759.46 + 312.026i 1.63529 + 0.290006i
\(106\) −305.041 + 528.347i −0.279512 + 0.484128i
\(107\) −182.056 105.110i −0.164487 0.0949663i 0.415497 0.909595i \(-0.363608\pi\)
−0.579984 + 0.814628i \(0.696941\pi\)
\(108\) −690.822 + 2296.95i −0.615504 + 2.04652i
\(109\) 78.9687 + 136.778i 0.0693929 + 0.120192i 0.898634 0.438699i \(-0.144560\pi\)
−0.829241 + 0.558891i \(0.811227\pi\)
\(110\) −1634.10 2830.35i −1.41642 2.45330i
\(111\) −12.8577 + 26.8606i −0.0109946 + 0.0229684i
\(112\) 453.631 + 1633.17i 0.382715 + 1.37786i
\(113\) −385.384 + 222.502i −0.320831 + 0.185232i −0.651763 0.758423i \(-0.725970\pi\)
0.330932 + 0.943655i \(0.392637\pi\)
\(114\) 1944.47 150.313i 1.59751 0.123492i
\(115\) 2835.39i 2.29914i
\(116\) 727.708 420.142i 0.582465 0.336287i
\(117\) 95.7478 77.0952i 0.0756572 0.0609184i
\(118\) 1565.81i 1.22157i
\(119\) −206.062 741.865i −0.158736 0.571485i
\(120\) −338.879 4383.78i −0.257794 3.33486i
\(121\) 96.5964 0.0725743
\(122\) 1262.67 2187.00i 0.937019 1.62296i
\(123\) 37.3063 + 54.4430i 0.0273479 + 0.0399103i
\(124\) 1498.56 865.194i 1.08528 0.626587i
\(125\) 1759.99 1.25934
\(126\) 2281.97 1033.42i 1.61344 0.730666i
\(127\) 2066.68 1.44400 0.722002 0.691891i \(-0.243222\pi\)
0.722002 + 0.691891i \(0.243222\pi\)
\(128\) −1785.88 + 1031.08i −1.23321 + 0.711994i
\(129\) −310.461 + 648.574i −0.211896 + 0.442665i
\(130\) −211.757 + 366.775i −0.142864 + 0.247448i
\(131\) −163.509 −0.109052 −0.0545260 0.998512i \(-0.517365\pi\)
−0.0545260 + 0.998512i \(0.517365\pi\)
\(132\) −2815.27 1347.62i −1.85635 0.888603i
\(133\) −990.073 972.153i −0.645491 0.633807i
\(134\) 3280.05i 2.11457i
\(135\) −2535.61 + 597.571i −1.61652 + 0.380968i
\(136\) −1640.72 + 947.270i −1.03449 + 0.597263i
\(137\) 2624.69i 1.63680i −0.574646 0.818402i \(-0.694860\pi\)
0.574646 0.818402i \(-0.305140\pi\)
\(138\) 2246.86 + 3278.96i 1.38598 + 2.02263i
\(139\) −1161.11 + 670.366i −0.708518 + 0.409063i −0.810512 0.585722i \(-0.800811\pi\)
0.101994 + 0.994785i \(0.467478\pi\)
\(140\) −4119.20 + 4195.13i −2.48669 + 2.53253i
\(141\) −1580.72 2306.83i −0.944121 1.37780i
\(142\) 2234.18 + 3869.72i 1.32034 + 2.28690i
\(143\) 79.9809 + 138.531i 0.0467716 + 0.0810107i
\(144\) −1549.75 1924.70i −0.896847 1.11383i
\(145\) 790.352 + 456.310i 0.452656 + 0.261341i
\(146\) 912.343 1580.22i 0.517165 0.895756i
\(147\) −1621.38 740.039i −0.909721 0.415220i
\(148\) −48.9907 84.8544i −0.0272095 0.0471283i
\(149\) 745.154i 0.409701i 0.978793 + 0.204850i \(0.0656708\pi\)
−0.978793 + 0.204850i \(0.934329\pi\)
\(150\) 4719.48 3233.95i 2.56896 1.76034i
\(151\) −3412.14 −1.83891 −0.919457 0.393190i \(-0.871371\pi\)
−0.919457 + 0.393190i \(0.871371\pi\)
\(152\) −1707.11 + 2956.81i −0.910955 + 1.57782i
\(153\) 703.974 + 874.295i 0.371980 + 0.461977i
\(154\) 872.402 + 3140.83i 0.456495 + 1.64348i
\(155\) 1627.56 + 939.674i 0.843413 + 0.486945i
\(156\) 31.1732 + 403.260i 0.0159991 + 0.206966i
\(157\) 2006.44 + 1158.42i 1.01994 + 0.588865i 0.914088 0.405516i \(-0.132908\pi\)
0.105857 + 0.994381i \(0.466242\pi\)
\(158\) 2104.92 + 1215.28i 1.05986 + 0.611912i
\(159\) −522.001 + 357.694i −0.260361 + 0.178408i
\(160\) 1510.34 + 871.996i 0.746269 + 0.430858i
\(161\) 706.974 2738.25i 0.346071 1.34040i
\(162\) −2458.74 + 2700.36i −1.19245 + 1.30963i
\(163\) 730.165 1264.68i 0.350865 0.607716i −0.635536 0.772071i \(-0.719221\pi\)
0.986401 + 0.164355i \(0.0525544\pi\)
\(164\) −217.151 −0.103394
\(165\) −261.268 3379.79i −0.123271 1.59465i
\(166\) 2491.93i 1.16513i
\(167\) −1047.84 1814.91i −0.485534 0.840969i 0.514328 0.857594i \(-0.328041\pi\)
−0.999862 + 0.0166244i \(0.994708\pi\)
\(168\) −765.781 + 4318.09i −0.351674 + 1.98302i
\(169\) −1088.14 + 1884.71i −0.495282 + 0.857854i
\(170\) −3349.10 1933.60i −1.51097 0.872357i
\(171\) 1886.49 + 730.182i 0.843647 + 0.326540i
\(172\) −1182.93 2048.89i −0.524403 0.908293i
\(173\) 1387.37 + 2402.99i 0.609708 + 1.05604i 0.991288 + 0.131709i \(0.0420465\pi\)
−0.381581 + 0.924336i \(0.624620\pi\)
\(174\) 1275.59 98.6071i 0.555761 0.0429620i
\(175\) −3941.22 1017.56i −1.70245 0.439546i
\(176\) 2784.72 1607.76i 1.19265 0.688576i
\(177\) −701.233 + 1464.92i −0.297785 + 0.622091i
\(178\) 6866.08i 2.89120i
\(179\) 63.6106 36.7256i 0.0265614 0.0153352i −0.486661 0.873591i \(-0.661785\pi\)
0.513222 + 0.858256i \(0.328452\pi\)
\(180\) 3093.92 7993.44i 1.28115 3.30998i
\(181\) 2260.38i 0.928247i −0.885771 0.464123i \(-0.846369\pi\)
0.885771 0.464123i \(-0.153631\pi\)
\(182\) 295.954 301.410i 0.120536 0.122758i
\(183\) 2160.73 1480.61i 0.872819 0.598087i
\(184\) −6958.66 −2.78804
\(185\) 53.2080 92.1590i 0.0211456 0.0366252i
\(186\) 2626.81 203.060i 1.03552 0.0800490i
\(187\) −1264.96 + 730.323i −0.494667 + 0.285596i
\(188\) 9201.02 3.56943
\(189\) 2597.74 + 55.1286i 0.999775 + 0.0212170i
\(190\) −6969.25 −2.66107
\(191\) 3258.23 1881.14i 1.23433 0.712641i 0.266401 0.963862i \(-0.414165\pi\)
0.967930 + 0.251221i \(0.0808321\pi\)
\(192\) −1355.53 + 104.786i −0.509514 + 0.0393870i
\(193\) 70.9018 122.805i 0.0264436 0.0458017i −0.852501 0.522726i \(-0.824915\pi\)
0.878944 + 0.476924i \(0.158248\pi\)
\(194\) 1186.23 0.439002
\(195\) −362.369 + 248.308i −0.133076 + 0.0911883i
\(196\) 5024.10 3024.33i 1.83094 1.10216i
\(197\) 3470.68i 1.25521i −0.778533 0.627603i \(-0.784036\pi\)
0.778533 0.627603i \(-0.215964\pi\)
\(198\) −2980.41 3701.50i −1.06974 1.32856i
\(199\) −58.1115 + 33.5507i −0.0207006 + 0.0119515i −0.510315 0.859988i \(-0.670471\pi\)
0.489614 + 0.871939i \(0.337138\pi\)
\(200\) 10015.8i 3.54110i
\(201\) −1468.93 + 3068.70i −0.515476 + 1.07686i
\(202\) 1536.30 886.980i 0.535116 0.308949i
\(203\) −649.499 637.743i −0.224561 0.220497i
\(204\) −3682.26 + 284.650i −1.26377 + 0.0976934i
\(205\) −117.922 204.247i −0.0401759 0.0695866i
\(206\) 3149.53 + 5455.14i 1.06523 + 1.84504i
\(207\) 633.637 + 4073.91i 0.212758 + 1.36791i
\(208\) −360.861 208.343i −0.120294 0.0694520i
\(209\) −1316.15 + 2279.63i −0.435596 + 0.754475i
\(210\) −8414.95 + 3053.41i −2.76517 + 1.00336i
\(211\) −820.718 1421.53i −0.267775 0.463800i 0.700512 0.713641i \(-0.252955\pi\)
−0.968287 + 0.249841i \(0.919622\pi\)
\(212\) 2082.05i 0.674508i
\(213\) 357.211 + 4620.93i 0.114909 + 1.48648i
\(214\) 1053.13 0.336405
\(215\) 1284.76 2225.27i 0.407534 0.705869i
\(216\) −1466.57 6222.94i −0.461979 1.96026i
\(217\) −1337.51 1313.30i −0.418414 0.410841i
\(218\) −685.209 395.606i −0.212882 0.122907i
\(219\) 1561.24 1069.82i 0.481731 0.330099i
\(220\) 9659.24 + 5576.76i 2.96012 + 1.70902i
\(221\) 163.921 + 94.6398i 0.0498937 + 0.0288062i
\(222\) −11.4981 148.741i −0.00347613 0.0449676i
\(223\) 2975.62 + 1717.98i 0.893554 + 0.515894i 0.875103 0.483936i \(-0.160793\pi\)
0.0184507 + 0.999830i \(0.494127\pi\)
\(224\) −1241.18 1218.71i −0.370221 0.363520i
\(225\) 5863.67 912.008i 1.73738 0.270225i
\(226\) 1114.66 1930.64i 0.328079 0.568249i
\(227\) −3886.11 −1.13626 −0.568129 0.822940i \(-0.692332\pi\)
−0.568129 + 0.822940i \(0.692332\pi\)
\(228\) −5490.42 + 3762.23i −1.59479 + 1.09281i
\(229\) 2280.90i 0.658193i −0.944296 0.329097i \(-0.893256\pi\)
0.944296 0.329097i \(-0.106744\pi\)
\(230\) −7102.15 12301.3i −2.03609 3.52662i
\(231\) −590.400 + 3329.15i −0.168162 + 0.948234i
\(232\) −1119.89 + 1939.70i −0.316914 + 0.548912i
\(233\) 691.417 + 399.190i 0.194404 + 0.112239i 0.594043 0.804433i \(-0.297531\pi\)
−0.399638 + 0.916673i \(0.630864\pi\)
\(234\) −222.290 + 574.308i −0.0621008 + 0.160443i
\(235\) 4996.54 + 8654.27i 1.38697 + 2.40231i
\(236\) −2671.85 4627.79i −0.736961 1.27645i
\(237\) 1425.04 + 2079.64i 0.390575 + 0.569987i
\(238\) 2752.24 + 2702.42i 0.749585 + 0.736017i
\(239\) −4557.37 + 2631.20i −1.23344 + 0.712127i −0.967745 0.251931i \(-0.918934\pi\)
−0.265694 + 0.964057i \(0.585601\pi\)
\(240\) 4991.44 + 7284.26i 1.34248 + 1.95915i
\(241\) 3951.47i 1.05617i −0.849192 0.528084i \(-0.822910\pi\)
0.849192 0.528084i \(-0.177090\pi\)
\(242\) −419.082 + 241.957i −0.111321 + 0.0642710i
\(243\) −3509.64 + 1425.24i −0.926517 + 0.376252i
\(244\) 8618.28i 2.26118i
\(245\) 5572.91 + 3083.21i 1.45323 + 0.803996i
\(246\) −298.223 142.754i −0.0772928 0.0369988i
\(247\) 341.109 0.0878713
\(248\) −2306.17 + 3994.40i −0.590491 + 1.02276i
\(249\) 1115.98 2331.36i 0.284026 0.593349i
\(250\) −7635.67 + 4408.46i −1.93169 + 1.11526i
\(251\) −5548.60 −1.39532 −0.697658 0.716431i \(-0.745775\pi\)
−0.697658 + 0.716431i \(0.745775\pi\)
\(252\) −4981.01 + 6948.15i −1.24514 + 1.73687i
\(253\) −5364.97 −1.33317
\(254\) −8966.27 + 5176.68i −2.21494 + 1.27879i
\(255\) −2267.36 3308.87i −0.556814 0.812587i
\(256\) 4118.74 7133.87i 1.00555 1.74167i
\(257\) 2783.15 0.675518 0.337759 0.941233i \(-0.390331\pi\)
0.337759 + 0.941233i \(0.390331\pi\)
\(258\) −277.632 3591.48i −0.0669946 0.866650i
\(259\) −74.3641 + 75.7348i −0.0178408 + 0.0181696i
\(260\) 1445.34i 0.344755i
\(261\) 1237.56 + 479.007i 0.293498 + 0.113601i
\(262\) 709.379 409.560i 0.167273 0.0965753i
\(263\) 5999.20i 1.40657i −0.710910 0.703283i \(-0.751717\pi\)
0.710910 0.703283i \(-0.248283\pi\)
\(264\) 8294.76 641.210i 1.93374 0.149484i
\(265\) 1958.33 1130.64i 0.453959 0.262093i
\(266\) 6730.49 + 1737.71i 1.55140 + 0.400549i
\(267\) 3074.90 6423.66i 0.704797 1.47237i
\(268\) −5596.96 9694.23i −1.27571 2.20959i
\(269\) 1352.02 + 2341.76i 0.306445 + 0.530779i 0.977582 0.210555i \(-0.0675269\pi\)
−0.671137 + 0.741334i \(0.734194\pi\)
\(270\) 9503.88 8943.80i 2.14218 2.01594i
\(271\) 1538.06 + 887.999i 0.344762 + 0.199048i 0.662376 0.749172i \(-0.269548\pi\)
−0.317614 + 0.948220i \(0.602882\pi\)
\(272\) 1902.43 3295.10i 0.424087 0.734541i
\(273\) 411.868 149.448i 0.0913090 0.0331320i
\(274\) 6574.38 + 11387.2i 1.44954 + 2.51067i
\(275\) 7721.91i 1.69327i
\(276\) −12235.7 5857.04i −2.66850 1.27736i
\(277\) −873.158 −0.189397 −0.0946985 0.995506i \(-0.530189\pi\)
−0.0946985 + 0.995506i \(0.530189\pi\)
\(278\) 3358.30 5816.75i 0.724524 1.25491i
\(279\) 2548.49 + 986.415i 0.546862 + 0.211667i
\(280\) 3917.65 15173.8i 0.836159 3.23861i
\(281\) 1562.82 + 902.296i 0.331780 + 0.191553i 0.656631 0.754212i \(-0.271981\pi\)
−0.324851 + 0.945765i \(0.605314\pi\)
\(282\) 12636.2 + 6048.72i 2.66834 + 1.27729i
\(283\) 5223.93 + 3016.04i 1.09728 + 0.633515i 0.935505 0.353313i \(-0.114945\pi\)
0.161775 + 0.986828i \(0.448278\pi\)
\(284\) −13206.3 7624.67i −2.75933 1.59310i
\(285\) −6520.19 3121.11i −1.35517 0.648696i
\(286\) −693.992 400.676i −0.143485 0.0828409i
\(287\) 62.9554 + 226.653i 0.0129482 + 0.0466163i
\(288\) 2364.94 + 915.370i 0.483874 + 0.187287i
\(289\) 1592.32 2757.98i 0.324104 0.561364i
\(290\) −4571.91 −0.925765
\(291\) 1109.80 + 531.241i 0.223565 + 0.107017i
\(292\) 6227.17i 1.24801i
\(293\) 4576.92 + 7927.46i 0.912583 + 1.58064i 0.810402 + 0.585874i \(0.199249\pi\)
0.102180 + 0.994766i \(0.467418\pi\)
\(294\) 8887.99 850.622i 1.76312 0.168739i
\(295\) 2901.86 5026.17i 0.572721 0.991982i
\(296\) 226.179 + 130.584i 0.0444134 + 0.0256421i
\(297\) −1130.69 4797.74i −0.220907 0.937350i
\(298\) −1866.48 3232.84i −0.362827 0.628434i
\(299\) 347.613 + 602.083i 0.0672340 + 0.116453i
\(300\) −8430.17 + 17611.2i −1.62239 + 3.38927i
\(301\) −1795.59 + 1828.69i −0.343841 + 0.350179i
\(302\) 14803.5 8546.82i 2.82069 1.62852i
\(303\) 1834.53 141.814i 0.347825 0.0268879i
\(304\) 6856.89i 1.29365i
\(305\) −8106.16 + 4680.09i −1.52183 + 0.878627i
\(306\) −5244.14 2029.78i −0.979697 0.379199i
\(307\) 3205.89i 0.595993i 0.954567 + 0.297997i \(0.0963184\pi\)
−0.954567 + 0.297997i \(0.903682\pi\)
\(308\) −7937.81 7794.14i −1.46850 1.44192i
\(309\) 503.561 + 6514.12i 0.0927073 + 1.19927i
\(310\) −9414.88 −1.72493
\(311\) −2.43583 + 4.21898i −0.000444126 + 0.000769249i −0.866247 0.499615i \(-0.833475\pi\)
0.865803 + 0.500385i \(0.166808\pi\)
\(312\) −609.403 889.334i −0.110579 0.161374i
\(313\) 1663.20 960.246i 0.300349 0.173407i −0.342250 0.939609i \(-0.611189\pi\)
0.642600 + 0.766202i \(0.277856\pi\)
\(314\) −11606.5 −2.08597
\(315\) −9240.17 911.881i −1.65278 0.163107i
\(316\) −8294.83 −1.47665
\(317\) −8798.23 + 5079.66i −1.55886 + 0.900007i −0.561491 + 0.827483i \(0.689772\pi\)
−0.997367 + 0.0725240i \(0.976895\pi\)
\(318\) 1368.73 2859.37i 0.241367 0.504231i
\(319\) −863.406 + 1495.46i −0.151541 + 0.262476i
\(320\) 4858.41 0.848729
\(321\) 985.274 + 471.634i 0.171317 + 0.0820064i
\(322\) 3791.64 + 13650.7i 0.656210 + 2.36250i
\(323\) 3114.74i 0.536559i
\(324\) 2659.05 12176.5i 0.455941 2.08787i
\(325\) 866.591 500.327i 0.147907 0.0853943i
\(326\) 7315.75i 1.24289i
\(327\) −463.890 676.978i −0.0784501 0.114486i
\(328\) 501.268 289.407i 0.0843839 0.0487191i
\(329\) −2667.51 9603.62i −0.447005 1.60931i
\(330\) 9599.31 + 14008.8i 1.60129 + 2.33684i
\(331\) 5754.15 + 9966.49i 0.955519 + 1.65501i 0.733175 + 0.680040i \(0.238038\pi\)
0.222344 + 0.974968i \(0.428629\pi\)
\(332\) 4252.14 + 7364.92i 0.702911 + 1.21748i
\(333\) 55.8547 144.306i 0.00919164 0.0237475i
\(334\) 9092.06 + 5249.30i 1.48951 + 0.859967i
\(335\) 6078.77 10528.7i 0.991400 1.71715i
\(336\) −3004.18 8279.27i −0.487772 1.34426i
\(337\) −4193.55 7263.44i −0.677855 1.17408i −0.975625 0.219442i \(-0.929576\pi\)
0.297770 0.954638i \(-0.403757\pi\)
\(338\) 10902.4i 1.75447i
\(339\) 1907.45 1307.05i 0.305600 0.209408i
\(340\) 13197.8 2.10514
\(341\) −1778.00 + 3079.59i −0.282358 + 0.489059i
\(342\) −10013.5 + 1557.45i −1.58324 + 0.246250i
\(343\) −4613.22 4367.13i −0.726211 0.687471i
\(344\) 5461.30 + 3153.08i 0.855969 + 0.494194i
\(345\) −1135.52 14689.3i −0.177202 2.29230i
\(346\) −12038.1 6950.22i −1.87044 1.07990i
\(347\) −10783.9 6226.07i −1.66832 0.963207i −0.968542 0.248849i \(-0.919948\pi\)
−0.699781 0.714358i \(-0.746719\pi\)
\(348\) −3601.77 + 2468.06i −0.554814 + 0.380179i
\(349\) 1881.46 + 1086.26i 0.288574 + 0.166608i 0.637298 0.770617i \(-0.280052\pi\)
−0.348725 + 0.937225i \(0.613385\pi\)
\(350\) 19647.7 5457.38i 3.00062 0.833455i
\(351\) −465.165 + 437.752i −0.0707370 + 0.0665684i
\(352\) −1649.95 + 2857.79i −0.249836 + 0.432729i
\(353\) −966.144 −0.145673 −0.0728366 0.997344i \(-0.523205\pi\)
−0.0728366 + 0.997344i \(0.523205\pi\)
\(354\) −627.082 8112.00i −0.0941498 1.21793i
\(355\) 16562.1i 2.47612i
\(356\) 11716.1 + 20292.8i 1.74424 + 3.02111i
\(357\) 1364.65 + 3760.86i 0.202310 + 0.557551i
\(358\) −183.983 + 318.667i −0.0271614 + 0.0470449i
\(359\) 1011.40 + 583.931i 0.148689 + 0.0858459i 0.572499 0.819905i \(-0.305974\pi\)
−0.423809 + 0.905751i \(0.639307\pi\)
\(360\) 3511.26 + 22575.3i 0.514055 + 3.30507i
\(361\) −622.901 1078.90i −0.0908152 0.157296i
\(362\) 5661.86 + 9806.63i 0.822046 + 1.42383i
\(363\) −500.436 + 38.6852i −0.0723584 + 0.00559352i
\(364\) −360.382 + 1395.83i −0.0518932 + 0.200992i
\(365\) −5857.13 + 3381.62i −0.839935 + 0.484937i
\(366\) −5665.63 + 11835.9i −0.809145 + 1.69036i
\(367\) 8702.02i 1.23772i −0.785503 0.618858i \(-0.787596\pi\)
0.785503 0.618858i \(-0.212404\pi\)
\(368\) 12102.9 6987.64i 1.71443 0.989826i
\(369\) −215.076 267.112i −0.0303426 0.0376838i
\(370\) 533.107i 0.0749052i
\(371\) −2173.15 + 603.617i −0.304109 + 0.0844697i
\(372\) −7417.09 + 5082.46i −1.03376 + 0.708369i
\(373\) 8449.87 1.17297 0.586485 0.809960i \(-0.300511\pi\)
0.586485 + 0.809960i \(0.300511\pi\)
\(374\) 3658.66 6336.99i 0.505842 0.876145i
\(375\) −9117.95 + 704.844i −1.25560 + 0.0970614i
\(376\) −21239.5 + 12262.6i −2.91315 + 1.68191i
\(377\) 223.771 0.0305697
\(378\) −11408.3 + 6267.70i −1.55233 + 0.852846i
\(379\) 10435.1 1.41428 0.707142 0.707072i \(-0.249984\pi\)
0.707142 + 0.707072i \(0.249984\pi\)
\(380\) 20597.7 11892.1i 2.78064 1.60540i
\(381\) −10706.9 + 827.671i −1.43971 + 0.111294i
\(382\) −9423.85 + 16322.6i −1.26222 + 2.18622i
\(383\) 1729.70 0.230767 0.115383 0.993321i \(-0.463190\pi\)
0.115383 + 0.993321i \(0.463190\pi\)
\(384\) 8839.17 6056.92i 1.17467 0.804924i
\(385\) 3020.42 11698.7i 0.399831 1.54862i
\(386\) 710.386i 0.0936728i
\(387\) 1348.66 3484.40i 0.177148 0.457679i
\(388\) −3505.92 + 2024.14i −0.458727 + 0.264846i
\(389\) 8787.45i 1.14535i 0.819782 + 0.572675i \(0.194094\pi\)
−0.819782 + 0.572675i \(0.805906\pi\)
\(390\) 950.164 1984.95i 0.123368 0.257723i
\(391\) −5497.76 + 3174.13i −0.711083 + 0.410544i
\(392\) −7566.87 + 13677.2i −0.974961 + 1.76225i
\(393\) 847.088 65.4824i 0.108728 0.00840496i
\(394\) 8693.45 + 15057.5i 1.11160 + 1.92534i
\(395\) −4504.44 7801.92i −0.573780 0.993816i
\(396\) 15124.8 + 5854.16i 1.91931 + 0.742885i
\(397\) −10427.7 6020.42i −1.31826 0.761099i −0.334814 0.942284i \(-0.608673\pi\)
−0.983449 + 0.181185i \(0.942007\pi\)
\(398\) 168.077 291.118i 0.0211682 0.0366644i
\(399\) 5518.60 + 4639.92i 0.692420 + 0.582172i
\(400\) −10057.5 17420.0i −1.25718 2.17750i
\(401\) 5182.09i 0.645339i 0.946512 + 0.322670i \(0.104580\pi\)
−0.946512 + 0.322670i \(0.895420\pi\)
\(402\) −1313.60 16992.9i −0.162977 2.10828i
\(403\) 460.809 0.0569592
\(404\) −3027.03 + 5242.97i −0.372773 + 0.645662i
\(405\) 12896.9 4111.30i 1.58235 0.504425i
\(406\) 4415.28 + 1139.96i 0.539721 + 0.139348i
\(407\) 174.378 + 100.677i 0.0212374 + 0.0122614i
\(408\) 8120.70 5564.60i 0.985379 0.675217i
\(409\) −3497.73 2019.41i −0.422864 0.244141i 0.273438 0.961890i \(-0.411839\pi\)
−0.696302 + 0.717749i \(0.745173\pi\)
\(410\) 1023.21 + 590.750i 0.123250 + 0.0711587i
\(411\) 1051.14 + 13597.7i 0.126153 + 1.63194i
\(412\) −18616.9 10748.5i −2.22619 1.28529i
\(413\) −4055.66 + 4130.42i −0.483211 + 0.492118i
\(414\) −12953.5 16087.5i −1.53775 1.90980i
\(415\) −4618.18 + 7998.93i −0.546259 + 0.946149i
\(416\) 427.620 0.0503986
\(417\) 5746.88 3937.97i 0.674882 0.462454i
\(418\) 13186.9i 1.54304i
\(419\) −1365.90 2365.81i −0.159257 0.275841i 0.775344 0.631539i \(-0.217577\pi\)
−0.934601 + 0.355698i \(0.884243\pi\)
\(420\) 19660.3 23383.4i 2.28410 2.71665i
\(421\) −4199.36 + 7273.51i −0.486139 + 0.842017i −0.999873 0.0159323i \(-0.994928\pi\)
0.513734 + 0.857949i \(0.328262\pi\)
\(422\) 7121.35 + 4111.51i 0.821473 + 0.474278i
\(423\) 9113.10 + 11317.9i 1.04750 + 1.30094i
\(424\) 2774.84 + 4806.17i 0.317826 + 0.550491i
\(425\) 4568.60 + 7913.04i 0.521434 + 0.903150i
\(426\) −13124.4 19153.1i −1.49267 2.17833i
\(427\) 8995.38 2498.57i 1.01948 0.283171i
\(428\) −3112.55 + 1797.03i −0.351520 + 0.202950i
\(429\) −469.836 685.656i −0.0528762 0.0771649i
\(430\) 12872.4i 1.44363i
\(431\) 9243.99 5337.02i 1.03310 0.596463i 0.115231 0.993339i \(-0.463239\pi\)
0.917872 + 0.396876i \(0.129906\pi\)
\(432\) 8799.60 + 9350.65i 0.980026 + 1.04140i
\(433\) 4332.16i 0.480809i −0.970673 0.240404i \(-0.922720\pi\)
0.970673 0.240404i \(-0.0772801\pi\)
\(434\) 9092.33 + 2347.50i 1.00564 + 0.259640i
\(435\) −4277.32 2047.48i −0.471452 0.225676i
\(436\) 2700.19 0.296596
\(437\) −5720.23 + 9907.73i −0.626169 + 1.08456i
\(438\) −4093.72 + 8552.04i −0.446588 + 0.932951i
\(439\) −2459.01 + 1419.71i −0.267339 + 0.154348i −0.627678 0.778473i \(-0.715995\pi\)
0.360339 + 0.932822i \(0.382661\pi\)
\(440\) −29729.6 −3.22115
\(441\) 8696.24 + 3184.58i 0.939017 + 0.343870i
\(442\) −948.225 −0.102042
\(443\) −1669.39 + 963.823i −0.179041 + 0.103369i −0.586842 0.809701i \(-0.699629\pi\)
0.407801 + 0.913071i \(0.366296\pi\)
\(444\) 287.789 + 419.985i 0.0307609 + 0.0448910i
\(445\) −12724.6 + 22039.7i −1.35552 + 2.34782i
\(446\) −17212.9 −1.82748
\(447\) −298.422 3860.42i −0.0315769 0.408482i
\(448\) −4691.96 1211.39i −0.494809 0.127752i
\(449\) 13226.6i 1.39020i −0.718913 0.695100i \(-0.755360\pi\)
0.718913 0.695100i \(-0.244640\pi\)
\(450\) −23155.0 + 18644.2i −2.42564 + 1.95310i
\(451\) 386.466 223.126i 0.0403503 0.0232963i
\(452\) 7608.05i 0.791709i
\(453\) 17677.3 1366.50i 1.83344 0.141731i
\(454\) 16859.8 9734.04i 1.74289 1.00626i
\(455\) −1508.58 + 419.027i −0.155436 + 0.0431742i
\(456\) 7659.89 16002.0i 0.786638 1.64334i
\(457\) −4106.85 7113.26i −0.420372 0.728106i 0.575604 0.817729i \(-0.304767\pi\)
−0.995976 + 0.0896228i \(0.971434\pi\)
\(458\) 5713.26 + 9895.66i 0.582889 + 1.00959i
\(459\) −3997.21 4247.53i −0.406479 0.431934i
\(460\) 41981.0 + 24237.7i 4.25516 + 2.45672i
\(461\) 5491.41 9511.40i 0.554795 0.960933i −0.443125 0.896460i \(-0.646130\pi\)
0.997919 0.0644727i \(-0.0205365\pi\)
\(462\) −5777.50 15922.3i −0.581804 1.60341i
\(463\) 6093.85 + 10554.9i 0.611675 + 1.05945i 0.990958 + 0.134171i \(0.0428371\pi\)
−0.379284 + 0.925280i \(0.623830\pi\)
\(464\) 4498.20i 0.450051i
\(465\) −8808.23 4216.35i −0.878435 0.420492i
\(466\) −3999.60 −0.397593
\(467\) 3008.23 5210.40i 0.298082 0.516292i −0.677615 0.735416i \(-0.736987\pi\)
0.975697 + 0.219124i \(0.0703199\pi\)
\(468\) −322.998 2076.69i −0.0319030 0.205117i
\(469\) −8495.75 + 8652.36i −0.836455 + 0.851874i
\(470\) −43354.9 25030.9i −4.25492 2.45658i
\(471\) −10858.7 5197.87i −1.06230 0.508504i
\(472\) 12335.3 + 7121.80i 1.20292 + 0.694507i
\(473\) 4210.53 + 2430.95i 0.409303 + 0.236311i
\(474\) −11391.6 5452.99i −1.10387 0.528405i
\(475\) 14260.4 + 8233.25i 1.37750 + 0.795300i
\(476\) −12745.6 3290.72i −1.22730 0.316870i
\(477\) 2561.08 2062.15i 0.245836 0.197945i
\(478\) 13181.4 22830.9i 1.26130 2.18464i
\(479\) 10557.6 1.00708 0.503539 0.863972i \(-0.332031\pi\)
0.503539 + 0.863972i \(0.332031\pi\)
\(480\) −8173.84 3912.68i −0.777257 0.372060i
\(481\) 26.0928i 0.00247345i
\(482\) 9897.75 + 17143.4i 0.935332 + 1.62004i
\(483\) −2566.00 + 14469.2i −0.241733 + 1.36308i
\(484\) 825.735 1430.22i 0.0775484 0.134318i
\(485\) −3807.73 2198.39i −0.356495 0.205822i
\(486\) 11656.6 14974.4i 1.08797 1.39764i
\(487\) −1762.23 3052.27i −0.163972 0.284008i 0.772318 0.635236i \(-0.219097\pi\)
−0.936290 + 0.351229i \(0.885764\pi\)
\(488\) −11486.0 19894.3i −1.06546 1.84544i
\(489\) −3276.28 + 6844.36i −0.302983 + 0.632950i
\(490\) −31900.9 + 582.720i −2.94109 + 0.0537237i
\(491\) 10853.9 6266.52i 0.997619 0.575976i 0.0900762 0.995935i \(-0.471289\pi\)
0.907543 + 0.419959i \(0.137956\pi\)
\(492\) 1124.99 86.9654i 0.103087 0.00796891i
\(493\) 2043.30i 0.186665i
\(494\) −1479.89 + 854.418i −0.134785 + 0.0778179i
\(495\) 2707.10 + 17405.1i 0.245808 + 1.58040i
\(496\) 9263.09i 0.838558i
\(497\) −4129.58 + 15994.7i −0.372710 + 1.44358i
\(498\) 997.974 + 12909.9i 0.0897998 + 1.16166i
\(499\) 9548.65 0.856626 0.428313 0.903630i \(-0.359108\pi\)
0.428313 + 0.903630i \(0.359108\pi\)
\(500\) 15044.9 26058.5i 1.34566 2.33075i
\(501\) 6155.37 + 8982.85i 0.548905 + 0.801046i
\(502\) 24072.5 13898.3i 2.14026 1.23568i
\(503\) 21478.4 1.90393 0.951963 0.306214i \(-0.0990624\pi\)
0.951963 + 0.306214i \(0.0990624\pi\)
\(504\) 2237.96 22677.4i 0.197791 2.00423i
\(505\) −6575.22 −0.579393
\(506\) 23275.8 13438.3i 2.04493 1.18064i
\(507\) 4882.51 10199.9i 0.427692 0.893476i
\(508\) 17666.6 30599.5i 1.54297 2.67251i
\(509\) −16323.8 −1.42149 −0.710745 0.703450i \(-0.751642\pi\)
−0.710745 + 0.703450i \(0.751642\pi\)
\(510\) 18125.1 + 8676.16i 1.57371 + 0.753307i
\(511\) 6499.64 1805.35i 0.562675 0.156290i
\(512\) 24769.7i 2.13804i
\(513\) −10065.8 3027.34i −0.866305 0.260547i
\(514\) −12074.7 + 6971.31i −1.03617 + 0.598232i
\(515\) 23347.5i 1.99770i
\(516\) 6948.93 + 10140.9i 0.592848 + 0.865174i
\(517\) −16375.2 + 9454.20i −1.39299 + 0.804246i
\(518\) 132.925 514.844i 0.0112749 0.0436697i
\(519\) −8149.87 11893.5i −0.689287 1.00591i
\(520\) 1926.28 + 3336.41i 0.162448 + 0.281368i
\(521\) −7116.33 12325.8i −0.598411 1.03648i −0.993056 0.117644i \(-0.962466\pi\)
0.394645 0.918834i \(-0.370868\pi\)
\(522\) −6568.97 + 1021.71i −0.550797 + 0.0856684i
\(523\) −4121.11 2379.33i −0.344558 0.198931i 0.317728 0.948182i \(-0.397080\pi\)
−0.662286 + 0.749251i \(0.730413\pi\)
\(524\) −1397.72 + 2420.92i −0.116526 + 0.201829i
\(525\) 20825.8 + 3693.29i 1.73126 + 0.307026i
\(526\) 15027.0 + 26027.5i 1.24564 + 2.15751i
\(527\) 4207.75i 0.347804i
\(528\) −13782.9 + 9444.54i −1.13603 + 0.778448i
\(529\) −11150.2 −0.916432
\(530\) −5664.12 + 9810.54i −0.464214 + 0.804043i
\(531\) 3046.20 7870.14i 0.248953 0.643192i
\(532\) −22857.2 + 6348.86i −1.86276 + 0.517402i
\(533\) −50.0807 28.9141i −0.00406986 0.00234974i
\(534\) 2749.75 + 35571.1i 0.222834 + 2.88260i
\(535\) −3380.49 1951.73i −0.273180 0.157721i
\(536\) 25839.9 + 14918.7i 2.08230 + 1.20222i
\(537\) −314.839 + 215.739i −0.0253004 + 0.0173368i
\(538\) −11731.4 6773.13i −0.940105 0.542770i
\(539\) −5833.88 + 10544.8i −0.466202 + 0.842663i
\(540\) −12827.4 + 42650.6i −1.02223 + 3.39887i
\(541\) 5255.73 9103.19i 0.417674 0.723432i −0.578031 0.816014i \(-0.696179\pi\)
0.995705 + 0.0925827i \(0.0295122\pi\)
\(542\) −8897.13 −0.705101
\(543\) 905.244 + 11710.3i 0.0715428 + 0.925486i
\(544\) 3904.70i 0.307744i
\(545\) 1466.32 + 2539.74i 0.115248 + 0.199616i
\(546\) −1412.54 + 1680.04i −0.110716 + 0.131683i
\(547\) 11334.1 19631.2i 0.885943 1.53450i 0.0413133 0.999146i \(-0.486846\pi\)
0.844629 0.535351i \(-0.179821\pi\)
\(548\) −38861.4 22436.6i −3.02934 1.74899i
\(549\) −10601.1 + 8535.93i −0.824126 + 0.663578i
\(550\) −19342.0 33501.4i −1.49954 2.59728i
\(551\) 1841.16 + 3188.98i 0.142352 + 0.246561i
\(552\) 36050.7 2786.83i 2.77975 0.214883i
\(553\) 2404.79 + 8657.77i 0.184923 + 0.665761i
\(554\) 3788.18 2187.11i 0.290513 0.167728i
\(555\) −238.747 + 498.757i −0.0182599 + 0.0381460i
\(556\) 22922.0i 1.74840i
\(557\) 10244.9 5914.91i 0.779338 0.449951i −0.0568577 0.998382i \(-0.518108\pi\)
0.836196 + 0.548431i \(0.184775\pi\)
\(558\) −13527.4 + 2103.99i −1.02627 + 0.159622i
\(559\) 630.036i 0.0476703i
\(560\) 8423.18 + 30325.2i 0.635615 + 2.28835i
\(561\) 6260.87 4290.18i 0.471184 0.322872i
\(562\) −9040.38 −0.678551
\(563\) 2833.63 4907.99i 0.212119 0.367401i −0.740258 0.672323i \(-0.765297\pi\)
0.952378 + 0.304921i \(0.0986302\pi\)
\(564\) −47667.7 + 3684.85i −3.55882 + 0.275107i
\(565\) −7155.95 + 4131.49i −0.532838 + 0.307634i
\(566\) −30218.6 −2.24414
\(567\) −13480.2 + 754.745i −0.998436 + 0.0559018i
\(568\) 40647.0 3.00266
\(569\) 3471.92 2004.52i 0.255801 0.147687i −0.366617 0.930372i \(-0.619484\pi\)
0.622417 + 0.782685i \(0.286151\pi\)
\(570\) 36105.6 2791.07i 2.65315 0.205096i
\(571\) 3248.70 5626.91i 0.238097 0.412397i −0.722071 0.691819i \(-0.756810\pi\)
0.960168 + 0.279422i \(0.0901429\pi\)
\(572\) 2734.80 0.199909
\(573\) −16126.5 + 11050.5i −1.17573 + 0.805655i
\(574\) −840.857 825.638i −0.0611441 0.0600374i
\(575\) 33561.0i 2.43407i
\(576\) 6980.61 1085.73i 0.504963 0.0785396i
\(577\) 13721.3 7922.02i 0.989995 0.571574i 0.0847219 0.996405i \(-0.473000\pi\)
0.905273 + 0.424831i \(0.139666\pi\)
\(578\) 15954.0i 1.14809i
\(579\) −318.139 + 664.613i −0.0228349 + 0.0477036i
\(580\) 13512.3 7801.36i 0.967361 0.558506i
\(581\) 6454.42 6573.39i 0.460885 0.469381i
\(582\) −6145.50 + 475.065i −0.437696 + 0.0338352i
\(583\) 2139.34 + 3705.44i 0.151977 + 0.263231i
\(584\) −8299.23 14374.7i −0.588056 1.01854i
\(585\) 1777.88 1431.53i 0.125652 0.101174i
\(586\) −39713.8 22928.8i −2.79960 1.61635i
\(587\) −3651.54 + 6324.65i −0.256755 + 0.444713i −0.965371 0.260882i \(-0.915987\pi\)
0.708616 + 0.705595i \(0.249320\pi\)
\(588\) −24817.1 + 17680.2i −1.74055 + 1.24000i
\(589\) 3791.48 + 6567.04i 0.265238 + 0.459406i
\(590\) 29074.6i 2.02878i
\(591\) 1389.95 + 17980.5i 0.0967425 + 1.25147i
\(592\) −524.512 −0.0364144
\(593\) 2546.38 4410.47i 0.176336 0.305424i −0.764287 0.644877i \(-0.776909\pi\)
0.940623 + 0.339453i \(0.110242\pi\)
\(594\) 16923.0 + 17982.7i 1.16895 + 1.24216i
\(595\) −3826.23 13775.2i −0.263630 0.949125i
\(596\) 11032.8 + 6369.81i 0.758259 + 0.437781i
\(597\) 287.621 197.089i 0.0197179 0.0135114i
\(598\) −3016.23 1741.42i −0.206259 0.119084i
\(599\) 1617.80 + 934.036i 0.110353 + 0.0637123i 0.554161 0.832410i \(-0.313039\pi\)
−0.443808 + 0.896122i \(0.646373\pi\)
\(600\) −4011.14 51888.6i −0.272923 3.53057i
\(601\) −17969.3 10374.6i −1.21960 0.704139i −0.254771 0.967001i \(-0.582000\pi\)
−0.964833 + 0.262863i \(0.915333\pi\)
\(602\) 3209.60 12431.4i 0.217298 0.841637i
\(603\) 6381.14 16486.3i 0.430945 1.11339i
\(604\) −29168.0 + 50520.5i −1.96495 + 3.40339i
\(605\) 1793.64 0.120532
\(606\) −7603.86 + 5210.44i −0.509712 + 0.349273i
\(607\) 3452.62i 0.230869i 0.993315 + 0.115434i \(0.0368260\pi\)
−0.993315 + 0.115434i \(0.963174\pi\)
\(608\) 3518.41 + 6094.06i 0.234688 + 0.406491i
\(609\) 3620.26 + 3043.84i 0.240887 + 0.202533i
\(610\) 23445.6 40609.0i 1.55621 2.69543i
\(611\) 2121.99 + 1225.13i 0.140502 + 0.0811188i
\(612\) 18962.7 2949.37i 1.25249 0.194806i
\(613\) 8024.21 + 13898.3i 0.528703 + 0.915740i 0.999440 + 0.0334664i \(0.0106547\pi\)
−0.470737 + 0.882273i \(0.656012\pi\)
\(614\) −8030.20 13908.7i −0.527806 0.914186i
\(615\) 692.717 + 1010.92i 0.0454196 + 0.0662832i
\(616\) 28711.1 + 7412.78i 1.87793 + 0.484853i
\(617\) 640.877 370.011i 0.0418164 0.0241427i −0.478946 0.877844i \(-0.658981\pi\)
0.520762 + 0.853702i \(0.325648\pi\)
\(618\) −18501.4 27000.1i −1.20427 1.75745i
\(619\) 9135.21i 0.593174i 0.955006 + 0.296587i \(0.0958485\pi\)
−0.955006 + 0.296587i \(0.904151\pi\)
\(620\) 27825.8 16065.2i 1.80244 1.04064i
\(621\) −4914.22 20851.9i −0.317553 1.34744i
\(622\) 24.4053i 0.00157325i
\(623\) 17784.1 18111.9i 1.14366 1.16475i
\(624\) 1952.95 + 934.844i 0.125289 + 0.0599739i
\(625\) 5207.04 0.333250
\(626\) −4810.50 + 8332.03i −0.307135 + 0.531973i
\(627\) 5905.59 12337.2i 0.376151 0.785804i
\(628\) 34303.3 19805.0i 2.17970 1.25845i
\(629\) 238.259 0.0151034
\(630\) 42372.4 19188.8i 2.67962 1.21349i
\(631\) −11586.8 −0.731004 −0.365502 0.930811i \(-0.619103\pi\)
−0.365502 + 0.930811i \(0.619103\pi\)
\(632\) 19147.6 11054.9i 1.20515 0.695791i
\(633\) 4821.19 + 7035.81i 0.302725 + 0.441782i
\(634\) 25447.3 44076.1i 1.59407 2.76102i
\(635\) 38374.9 2.39821
\(636\) 833.826 + 10786.5i 0.0519864 + 0.672502i
\(637\) 1561.38 28.5211i 0.0971181 0.00177401i
\(638\) 8650.73i 0.536811i
\(639\) −3701.21 23796.6i −0.229135 1.47320i
\(640\) −33160.9 + 19145.4i −2.04812 + 1.18248i
\(641\) 2669.76i 0.164507i 0.996611 + 0.0822536i \(0.0262118\pi\)
−0.996611 + 0.0822536i \(0.973788\pi\)
\(642\) −5455.96 + 421.762i −0.335404 + 0.0259277i
\(643\) −23669.3 + 13665.5i −1.45167 + 0.838124i −0.998577 0.0533376i \(-0.983014\pi\)
−0.453097 + 0.891461i \(0.649681\pi\)
\(644\) −34499.3 33874.9i −2.11097 2.07276i
\(645\) −5764.76 + 12043.0i −0.351918 + 0.735180i
\(646\) −7801.88 13513.2i −0.475171 0.823021i
\(647\) −7270.33 12592.6i −0.441771 0.765170i 0.556050 0.831149i \(-0.312316\pi\)
−0.997821 + 0.0659787i \(0.978983\pi\)
\(648\) 10090.0 + 31651.8i 0.611688 + 1.91883i
\(649\) 9510.25 + 5490.74i 0.575208 + 0.332096i
\(650\) −2506.46 + 4341.32i −0.151249 + 0.261970i
\(651\) 7455.17 + 6268.15i 0.448834 + 0.377370i
\(652\) −12483.4 21621.8i −0.749825 1.29873i
\(653\) 3829.95i 0.229521i −0.993393 0.114761i \(-0.963390\pi\)
0.993393 0.114761i \(-0.0366101\pi\)
\(654\) 3708.29 + 1775.10i 0.221721 + 0.106134i
\(655\) −3036.09 −0.181114
\(656\) −581.225 + 1006.71i −0.0345930 + 0.0599169i
\(657\) −7659.88 + 6167.66i −0.454856 + 0.366246i
\(658\) 35628.4 + 34983.5i 2.11085 + 2.07264i
\(659\) −21012.5 12131.6i −1.24208 0.717116i −0.272564 0.962138i \(-0.587872\pi\)
−0.969518 + 0.245021i \(0.921205\pi\)
\(660\) −52275.0 25023.2i −3.08303 1.47580i
\(661\) 11858.1 + 6846.29i 0.697772 + 0.402859i 0.806517 0.591211i \(-0.201350\pi\)
−0.108745 + 0.994070i \(0.534683\pi\)
\(662\) −49928.6 28826.3i −2.93132 1.69240i
\(663\) −887.126 424.653i −0.0519655 0.0248750i
\(664\) −19631.1 11334.0i −1.14734 0.662419i
\(665\) −18384.0 18051.3i −1.07203 1.05263i
\(666\) 119.136 + 765.975i 0.00693158 + 0.0445659i
\(667\) −3752.54 + 6499.58i −0.217839 + 0.377309i
\(668\) −35829.0 −2.07525
\(669\) −16103.8 7708.63i −0.930658 0.445490i
\(670\) 60905.1i 3.51189i
\(671\) −8855.42 15338.0i −0.509478 0.882442i
\(672\) 6918.23 + 5816.70i 0.397137 + 0.333905i
\(673\) −9187.98 + 15914.0i −0.526256 + 0.911503i 0.473276 + 0.880914i \(0.343071\pi\)
−0.999532 + 0.0305886i \(0.990262\pi\)
\(674\) 36387.3 + 21008.2i 2.07951 + 1.20060i
\(675\) −30012.6 + 7073.14i −1.71139 + 0.403326i
\(676\) 18603.4 + 32222.1i 1.05846 + 1.83330i
\(677\) −1417.84 2455.77i −0.0804904 0.139413i 0.822970 0.568084i \(-0.192315\pi\)
−0.903461 + 0.428671i \(0.858982\pi\)
\(678\) −5001.50 + 10448.5i −0.283306 + 0.591845i
\(679\) 3129.13 + 3072.49i 0.176856 + 0.173655i
\(680\) −30465.5 + 17589.3i −1.71808 + 0.991937i
\(681\) 20132.8 1556.32i 1.13288 0.0875747i
\(682\) 17814.3i 1.00021i
\(683\) 14759.6 8521.44i 0.826880 0.477399i −0.0259033 0.999664i \(-0.508246\pi\)
0.852783 + 0.522265i \(0.174913\pi\)
\(684\) 26937.5 21689.8i 1.50582 1.21247i
\(685\) 48736.1i 2.71841i
\(686\) 30953.3 + 7391.40i 1.72274 + 0.411378i
\(687\) 913.463 + 11816.7i 0.0507289 + 0.656236i
\(688\) −12664.8 −0.701806
\(689\) 277.229 480.175i 0.0153289 0.0265504i
\(690\) 41720.5 + 60884.9i 2.30185 + 3.35920i
\(691\) −4224.31 + 2438.91i −0.232562 + 0.134270i −0.611753 0.791048i \(-0.709536\pi\)
0.379191 + 0.925318i \(0.376202\pi\)
\(692\) 47438.5 2.60598
\(693\) 1725.41 17483.8i 0.0945787 0.958374i
\(694\) 62380.8 3.41202
\(695\) −21559.9 + 12447.6i −1.17671 + 0.679374i
\(696\) 5024.97 10497.5i 0.273665 0.571704i
\(697\) 264.021 457.298i 0.0143479 0.0248514i
\(698\) −10883.6 −0.590186
\(699\) −3741.89 1791.18i −0.202477 0.0969223i
\(700\) −48756.9 + 49655.6i −2.63262 + 2.68115i
\(701\) 18496.2i 0.996564i 0.867015 + 0.498282i \(0.166036\pi\)
−0.867015 + 0.498282i \(0.833964\pi\)
\(702\) 921.619 3064.34i 0.0495502 0.164752i
\(703\) 371.851 214.688i 0.0199497 0.0115180i
\(704\) 9192.82i 0.492141i
\(705\) −29351.5 42834.1i −1.56800 2.28826i
\(706\) 4191.60 2420.02i 0.223446 0.129007i
\(707\) 6349.96 + 1639.46i 0.337786 + 0.0872112i
\(708\) 15695.4 + 22905.1i 0.833149 + 1.21586i
\(709\) 5252.92 + 9098.33i 0.278248 + 0.481939i 0.970949 0.239285i \(-0.0769130\pi\)
−0.692702 + 0.721224i \(0.743580\pi\)
\(710\) 41485.1 + 71854.3i 2.19283 + 3.79809i
\(711\) −8215.56 10203.3i −0.433344 0.538188i
\(712\) −54090.3 31229.0i −2.84708 1.64376i
\(713\) −7727.56 + 13384.5i −0.405890 + 0.703021i
\(714\) −15340.8 12898.2i −0.804082 0.676055i
\(715\) 1485.11 + 2572.29i 0.0776785 + 0.134543i
\(716\) 1255.77i 0.0655450i
\(717\) 22556.6 15456.6i 1.17488 0.805073i
\(718\) −5850.58 −0.304097
\(719\) −519.987 + 900.644i −0.0269711 + 0.0467154i −0.879196 0.476460i \(-0.841920\pi\)
0.852225 + 0.523176i \(0.175253\pi\)
\(720\) −28776.3 35738.6i −1.48949 1.84986i
\(721\) −5821.47 + 22547.7i −0.300697 + 1.16466i
\(722\) 5404.90 + 3120.52i 0.278600 + 0.160850i
\(723\) 1582.50 + 20471.4i 0.0814021 + 1.05303i
\(724\) −33467.4 19322.4i −1.71796 0.991867i
\(725\) 9354.99 + 5401.11i 0.479221 + 0.276679i
\(726\) 2074.24 1421.34i 0.106036 0.0726597i
\(727\) 28717.4 + 16580.0i 1.46502 + 0.845829i 0.999236 0.0390696i \(-0.0124394\pi\)
0.465783 + 0.884899i \(0.345773\pi\)
\(728\) −1028.38 3702.40i −0.0523550 0.188489i
\(729\) 17611.6 8789.29i 0.894763 0.446542i
\(730\) 16940.7 29342.2i 0.858910 1.48768i
\(731\) 5753.00 0.291084
\(732\) −3451.48 44648.7i −0.174276 2.25446i
\(733\) 10650.5i 0.536677i −0.963325 0.268339i \(-0.913525\pi\)
0.963325 0.268339i \(-0.0864746\pi\)
\(734\) 21797.0 + 37753.6i 1.09611 + 1.89851i
\(735\) −30106.3 13741.3i −1.51087 0.689600i
\(736\) −7171.00 + 12420.5i −0.359139 + 0.622047i
\(737\) 19921.9 + 11501.9i 0.995704 + 0.574870i
\(738\) 1602.17 + 620.134i 0.0799145 + 0.0309315i
\(739\) 701.510 + 1215.05i 0.0349194 + 0.0604822i 0.882957 0.469454i \(-0.155549\pi\)
−0.848038 + 0.529936i \(0.822216\pi\)
\(740\) −909.677 1575.61i −0.0451897 0.0782709i
\(741\) −1767.18 + 136.608i −0.0876099 + 0.00677251i
\(742\) 7916.22 8062.15i 0.391663 0.398882i
\(743\) −27959.9 + 16142.6i −1.38055 + 0.797060i −0.992224 0.124463i \(-0.960279\pi\)
−0.388324 + 0.921523i \(0.626946\pi\)
\(744\) 10347.9 21617.4i 0.509907 1.06523i
\(745\) 13836.3i 0.680433i
\(746\) −36659.6 + 21165.5i −1.79920 + 1.03877i
\(747\) −4847.90 + 12525.0i −0.237450 + 0.613475i
\(748\) 24972.1i 1.22068i
\(749\) 2778.03 + 2727.75i 0.135524 + 0.133071i
\(750\) 37792.6 25896.8i 1.83999 1.26083i
\(751\) −33807.6 −1.64269 −0.821344 0.570433i \(-0.806775\pi\)
−0.821344 + 0.570433i \(0.806775\pi\)
\(752\) 24627.4 42655.9i 1.19424 2.06848i
\(753\) 28745.6 2222.12i 1.39117 0.107541i
\(754\) −970.827 + 560.507i −0.0468905 + 0.0270723i
\(755\) −63357.9 −3.05408
\(756\) 23022.5 37991.1i 1.10757 1.82767i
\(757\) −32096.2 −1.54102 −0.770512 0.637426i \(-0.779999\pi\)
−0.770512 + 0.637426i \(0.779999\pi\)
\(758\) −45272.4 + 26138.0i −2.16935 + 1.25247i
\(759\) 27794.3 2148.58i 1.32921 0.102752i
\(760\) −31698.3 + 54903.1i −1.51292 + 2.62045i
\(761\) 2884.25 0.137390 0.0686951 0.997638i \(-0.478116\pi\)
0.0686951 + 0.997638i \(0.478116\pi\)
\(762\) 44378.4 30409.7i 2.10979 1.44570i
\(763\) −782.826 2818.34i −0.0371431 0.133723i
\(764\) 64322.2i 3.04594i
\(765\) 13071.6 + 16234.2i 0.617786 + 0.767254i
\(766\) −7504.29 + 4332.60i −0.353970 + 0.204365i
\(767\) 1423.05i 0.0669926i
\(768\) −18481.0 + 38607.9i −0.868326 + 1.81399i
\(769\) 15050.9 8689.61i 0.705784 0.407484i −0.103714 0.994607i \(-0.533073\pi\)
0.809498 + 0.587123i \(0.199739\pi\)
\(770\) 16199.1 + 58320.1i 0.758148 + 2.72950i
\(771\) −14418.7 + 1114.60i −0.673509 + 0.0520642i
\(772\) −1212.18 2099.56i −0.0565121 0.0978818i
\(773\) −7817.05 13539.5i −0.363726 0.629991i 0.624845 0.780749i \(-0.285162\pi\)
−0.988571