Properties

Label 63.4.h.a.25.7
Level $63$
Weight $4$
Character 63.25
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.h (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 25.7
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.7

$q$-expansion

\(f(q)\) \(=\) \(q-2.65476 q^{2} +(-0.794408 + 5.13507i) q^{3} -0.952261 q^{4} +(-3.67781 + 6.37015i) q^{5} +(2.10896 - 13.6324i) q^{6} +(-1.32557 - 18.4728i) q^{7} +23.7661 q^{8} +(-25.7378 - 8.15868i) q^{9} +O(q^{10})\) \(q-2.65476 q^{2} +(-0.794408 + 5.13507i) q^{3} -0.952261 q^{4} +(-3.67781 + 6.37015i) q^{5} +(2.10896 - 13.6324i) q^{6} +(-1.32557 - 18.4728i) q^{7} +23.7661 q^{8} +(-25.7378 - 8.15868i) q^{9} +(9.76368 - 16.9112i) q^{10} +(-5.67162 - 9.82353i) q^{11} +(0.756484 - 4.88992i) q^{12} +(-30.2941 - 52.4710i) q^{13} +(3.51906 + 49.0407i) q^{14} +(-29.7895 - 23.9463i) q^{15} -55.4751 q^{16} +(-5.29282 + 9.16743i) q^{17} +(68.3277 + 21.6593i) q^{18} +(-41.6545 - 72.1477i) q^{19} +(3.50223 - 6.06604i) q^{20} +(95.9119 + 7.86803i) q^{21} +(15.0568 + 26.0791i) q^{22} +(-43.8117 + 75.8840i) q^{23} +(-18.8800 + 122.040i) q^{24} +(35.4475 + 61.3968i) q^{25} +(80.4236 + 139.298i) q^{26} +(62.3417 - 125.684i) q^{27} +(1.26229 + 17.5909i) q^{28} +(-67.6917 + 117.246i) q^{29} +(79.0838 + 63.5716i) q^{30} +53.5029 q^{31} -42.8557 q^{32} +(54.9501 - 21.3202i) q^{33} +(14.0511 - 24.3373i) q^{34} +(122.549 + 59.4952i) q^{35} +(24.5091 + 7.76919i) q^{36} +(-149.868 - 259.578i) q^{37} +(110.583 + 191.535i) q^{38} +(293.508 - 113.879i) q^{39} +(-87.4071 + 151.393i) q^{40} +(-194.038 - 336.083i) q^{41} +(-254.623 - 20.8877i) q^{42} +(-215.569 + 373.377i) q^{43} +(5.40086 + 9.35456i) q^{44} +(146.631 - 133.948i) q^{45} +(116.309 - 201.454i) q^{46} -511.164 q^{47} +(44.0699 - 284.868i) q^{48} +(-339.486 + 48.9738i) q^{49} +(-94.1045 - 162.994i) q^{50} +(-42.8707 - 34.4617i) q^{51} +(28.8479 + 49.9660i) q^{52} +(116.232 - 201.320i) q^{53} +(-165.502 + 333.661i) q^{54} +83.4364 q^{55} +(-31.5036 - 439.025i) q^{56} +(403.574 - 156.584i) q^{57} +(179.705 - 311.259i) q^{58} +62.3632 q^{59} +(28.3673 + 22.8031i) q^{60} +340.029 q^{61} -142.037 q^{62} +(-116.596 + 486.264i) q^{63} +557.572 q^{64} +445.664 q^{65} +(-145.879 + 56.6001i) q^{66} -549.199 q^{67} +(5.04014 - 8.72978i) q^{68} +(-354.865 - 285.259i) q^{69} +(-325.339 - 157.945i) q^{70} +505.089 q^{71} +(-611.687 - 193.900i) q^{72} +(-99.1981 + 171.816i) q^{73} +(397.862 + 689.117i) q^{74} +(-343.437 + 133.251i) q^{75} +(39.6659 + 68.7034i) q^{76} +(-173.950 + 117.792i) q^{77} +(-779.192 + 302.321i) q^{78} +1177.84 q^{79} +(204.027 - 353.385i) q^{80} +(595.872 + 419.974i) q^{81} +(515.123 + 892.219i) q^{82} +(-722.688 + 1251.73i) q^{83} +(-91.3331 - 7.49242i) q^{84} +(-38.9319 - 67.4320i) q^{85} +(572.284 - 991.225i) q^{86} +(-548.289 - 440.742i) q^{87} +(-134.792 - 233.467i) q^{88} +(-507.365 - 878.783i) q^{89} +(-389.269 + 355.599i) q^{90} +(-929.126 + 629.170i) q^{91} +(41.7201 - 72.2614i) q^{92} +(-42.5031 + 274.741i) q^{93} +1357.02 q^{94} +612.788 q^{95} +(34.0449 - 220.067i) q^{96} +(551.029 - 954.410i) q^{97} +(901.252 - 130.014i) q^{98} +(65.8281 + 299.109i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.65476 −0.938599 −0.469299 0.883039i \(-0.655493\pi\)
−0.469299 + 0.883039i \(0.655493\pi\)
\(3\) −0.794408 + 5.13507i −0.152884 + 0.988244i
\(4\) −0.952261 −0.119033
\(5\) −3.67781 + 6.37015i −0.328953 + 0.569763i −0.982304 0.187292i \(-0.940029\pi\)
0.653351 + 0.757055i \(0.273362\pi\)
\(6\) 2.10896 13.6324i 0.143497 0.927565i
\(7\) −1.32557 18.4728i −0.0715740 0.997435i
\(8\) 23.7661 1.05032
\(9\) −25.7378 8.15868i −0.953253 0.302173i
\(10\) 9.76368 16.9112i 0.308755 0.534779i
\(11\) −5.67162 9.82353i −0.155460 0.269264i 0.777767 0.628553i \(-0.216353\pi\)
−0.933226 + 0.359289i \(0.883019\pi\)
\(12\) 0.756484 4.88992i 0.0181982 0.117633i
\(13\) −30.2941 52.4710i −0.646314 1.11945i −0.983996 0.178188i \(-0.942976\pi\)
0.337683 0.941260i \(-0.390357\pi\)
\(14\) 3.51906 + 49.0407i 0.0671792 + 0.936191i
\(15\) −29.7895 23.9463i −0.512774 0.412194i
\(16\) −55.4751 −0.866799
\(17\) −5.29282 + 9.16743i −0.0755116 + 0.130790i −0.901309 0.433178i \(-0.857392\pi\)
0.825797 + 0.563967i \(0.190726\pi\)
\(18\) 68.3277 + 21.6593i 0.894722 + 0.283620i
\(19\) −41.6545 72.1477i −0.502958 0.871148i −0.999994 0.00341841i \(-0.998912\pi\)
0.497037 0.867730i \(-0.334421\pi\)
\(20\) 3.50223 6.06604i 0.0391561 0.0678204i
\(21\) 95.9119 + 7.86803i 0.996652 + 0.0817593i
\(22\) 15.0568 + 26.0791i 0.145914 + 0.252731i
\(23\) −43.8117 + 75.8840i −0.397190 + 0.687953i −0.993378 0.114892i \(-0.963348\pi\)
0.596188 + 0.802845i \(0.296681\pi\)
\(24\) −18.8800 + 122.040i −0.160577 + 1.03798i
\(25\) 35.4475 + 61.3968i 0.283580 + 0.491175i
\(26\) 80.4236 + 139.298i 0.606629 + 1.05071i
\(27\) 62.3417 125.684i 0.444358 0.895849i
\(28\) 1.26229 + 17.5909i 0.00851964 + 0.118727i
\(29\) −67.6917 + 117.246i −0.433450 + 0.750757i −0.997168 0.0752104i \(-0.976037\pi\)
0.563718 + 0.825967i \(0.309370\pi\)
\(30\) 79.0838 + 63.5716i 0.481289 + 0.386884i
\(31\) 53.5029 0.309981 0.154990 0.987916i \(-0.450465\pi\)
0.154990 + 0.987916i \(0.450465\pi\)
\(32\) −42.8557 −0.236746
\(33\) 54.9501 21.3202i 0.289866 0.112466i
\(34\) 14.0511 24.3373i 0.0708751 0.122759i
\(35\) 122.549 + 59.4952i 0.591846 + 0.287329i
\(36\) 24.5091 + 7.76919i 0.113468 + 0.0359685i
\(37\) −149.868 259.578i −0.665894 1.15336i −0.979042 0.203658i \(-0.934717\pi\)
0.313148 0.949704i \(-0.398616\pi\)
\(38\) 110.583 + 191.535i 0.472075 + 0.817658i
\(39\) 293.508 113.879i 1.20510 0.467570i
\(40\) −87.4071 + 151.393i −0.345507 + 0.598435i
\(41\) −194.038 336.083i −0.739112 1.28018i −0.952896 0.303298i \(-0.901912\pi\)
0.213784 0.976881i \(-0.431421\pi\)
\(42\) −254.623 20.8877i −0.935456 0.0767392i
\(43\) −215.569 + 373.377i −0.764511 + 1.32417i 0.175993 + 0.984391i \(0.443686\pi\)
−0.940505 + 0.339781i \(0.889647\pi\)
\(44\) 5.40086 + 9.35456i 0.0185048 + 0.0320512i
\(45\) 146.631 133.948i 0.485743 0.443728i
\(46\) 116.309 201.454i 0.372802 0.645712i
\(47\) −511.164 −1.58640 −0.793202 0.608959i \(-0.791588\pi\)
−0.793202 + 0.608959i \(0.791588\pi\)
\(48\) 44.0699 284.868i 0.132520 0.856609i
\(49\) −339.486 + 48.9738i −0.989754 + 0.142781i
\(50\) −94.1045 162.994i −0.266168 0.461016i
\(51\) −42.8707 34.4617i −0.117708 0.0946195i
\(52\) 28.8479 + 49.9660i 0.0769324 + 0.133251i
\(53\) 116.232 201.320i 0.301240 0.521762i −0.675177 0.737655i \(-0.735933\pi\)
0.976417 + 0.215893i \(0.0692663\pi\)
\(54\) −165.502 + 333.661i −0.417074 + 0.840843i
\(55\) 83.4364 0.204556
\(56\) −31.5036 439.025i −0.0751758 1.04763i
\(57\) 403.574 156.584i 0.937801 0.363860i
\(58\) 179.705 311.259i 0.406835 0.704659i
\(59\) 62.3632 0.137610 0.0688050 0.997630i \(-0.478081\pi\)
0.0688050 + 0.997630i \(0.478081\pi\)
\(60\) 28.3673 + 22.8031i 0.0610368 + 0.0490645i
\(61\) 340.029 0.713710 0.356855 0.934160i \(-0.383849\pi\)
0.356855 + 0.934160i \(0.383849\pi\)
\(62\) −142.037 −0.290948
\(63\) −116.596 + 486.264i −0.233170 + 0.972436i
\(64\) 557.572 1.08901
\(65\) 445.664 0.850427
\(66\) −145.879 + 56.6001i −0.272068 + 0.105560i
\(67\) −549.199 −1.00142 −0.500711 0.865614i \(-0.666928\pi\)
−0.500711 + 0.865614i \(0.666928\pi\)
\(68\) 5.04014 8.72978i 0.00898834 0.0155683i
\(69\) −354.865 285.259i −0.619142 0.497697i
\(70\) −325.339 157.945i −0.555506 0.269687i
\(71\) 505.089 0.844269 0.422134 0.906533i \(-0.361281\pi\)
0.422134 + 0.906533i \(0.361281\pi\)
\(72\) −611.687 193.900i −1.00122 0.317379i
\(73\) −99.1981 + 171.816i −0.159045 + 0.275473i −0.934524 0.355899i \(-0.884175\pi\)
0.775480 + 0.631372i \(0.217508\pi\)
\(74\) 397.862 + 689.117i 0.625007 + 1.08254i
\(75\) −343.437 + 133.251i −0.528755 + 0.205153i
\(76\) 39.6659 + 68.7034i 0.0598683 + 0.103695i
\(77\) −173.950 + 117.792i −0.257447 + 0.174333i
\(78\) −779.192 + 302.321i −1.13110 + 0.438861i
\(79\) 1177.84 1.67744 0.838720 0.544562i \(-0.183304\pi\)
0.838720 + 0.544562i \(0.183304\pi\)
\(80\) 204.027 353.385i 0.285136 0.493870i
\(81\) 595.872 + 419.974i 0.817382 + 0.576095i
\(82\) 515.123 + 892.219i 0.693730 + 1.20157i
\(83\) −722.688 + 1251.73i −0.955726 + 1.65537i −0.223028 + 0.974812i \(0.571594\pi\)
−0.732698 + 0.680554i \(0.761739\pi\)
\(84\) −91.3331 7.49242i −0.118634 0.00973202i
\(85\) −38.9319 67.4320i −0.0496795 0.0860474i
\(86\) 572.284 991.225i 0.717569 1.24287i
\(87\) −548.289 440.742i −0.675664 0.543133i
\(88\) −134.792 233.467i −0.163283 0.282814i
\(89\) −507.365 878.783i −0.604277 1.04664i −0.992165 0.124932i \(-0.960129\pi\)
0.387889 0.921706i \(-0.373204\pi\)
\(90\) −389.269 + 355.599i −0.455917 + 0.416482i
\(91\) −929.126 + 629.170i −1.07032 + 0.724779i
\(92\) 41.7201 72.2614i 0.0472785 0.0818888i
\(93\) −42.5031 + 274.741i −0.0473911 + 0.306337i
\(94\) 1357.02 1.48900
\(95\) 612.788 0.661797
\(96\) 34.0449 220.067i 0.0361947 0.233963i
\(97\) 551.029 954.410i 0.576789 0.999028i −0.419056 0.907960i \(-0.637639\pi\)
0.995845 0.0910671i \(-0.0290278\pi\)
\(98\) 901.252 130.014i 0.928982 0.134014i
\(99\) 65.8281 + 299.109i 0.0668280 + 0.303653i
\(100\) −33.7552 58.4658i −0.0337552 0.0584658i
\(101\) −200.936 348.032i −0.197960 0.342876i 0.749907 0.661543i \(-0.230098\pi\)
−0.947867 + 0.318667i \(0.896765\pi\)
\(102\) 113.811 + 91.4873i 0.110480 + 0.0888098i
\(103\) −14.1227 + 24.4612i −0.0135102 + 0.0234003i −0.872701 0.488254i \(-0.837634\pi\)
0.859191 + 0.511655i \(0.170967\pi\)
\(104\) −719.973 1247.03i −0.678838 1.17578i
\(105\) −402.866 + 582.036i −0.374435 + 0.540961i
\(106\) −308.568 + 534.455i −0.282743 + 0.489725i
\(107\) 837.694 + 1450.93i 0.756850 + 1.31090i 0.944449 + 0.328657i \(0.106596\pi\)
−0.187600 + 0.982246i \(0.560071\pi\)
\(108\) −59.3656 + 119.684i −0.0528931 + 0.106635i
\(109\) −197.497 + 342.074i −0.173548 + 0.300594i −0.939658 0.342116i \(-0.888857\pi\)
0.766110 + 0.642710i \(0.222190\pi\)
\(110\) −221.504 −0.191996
\(111\) 1452.01 563.369i 1.24161 0.481735i
\(112\) 73.5361 + 1024.78i 0.0620402 + 0.864576i
\(113\) −94.3578 163.433i −0.0785525 0.136057i 0.824073 0.566483i \(-0.191697\pi\)
−0.902626 + 0.430426i \(0.858363\pi\)
\(114\) −1071.39 + 415.692i −0.880219 + 0.341519i
\(115\) −322.262 558.174i −0.261314 0.452608i
\(116\) 64.4602 111.648i 0.0515946 0.0893645i
\(117\) 351.611 + 1597.65i 0.277833 + 1.26242i
\(118\) −165.559 −0.129161
\(119\) 176.364 + 85.6209i 0.135859 + 0.0659568i
\(120\) −707.979 569.109i −0.538578 0.432936i
\(121\) 601.165 1041.25i 0.451665 0.782306i
\(122\) −902.695 −0.669887
\(123\) 1879.95 729.409i 1.37813 0.534704i
\(124\) −50.9487 −0.0368978
\(125\) −1440.93 −1.03104
\(126\) 309.534 1290.91i 0.218853 0.912727i
\(127\) 340.864 0.238164 0.119082 0.992884i \(-0.462005\pi\)
0.119082 + 0.992884i \(0.462005\pi\)
\(128\) −1137.37 −0.785396
\(129\) −1746.06 1403.58i −1.19172 0.957969i
\(130\) −1183.13 −0.798210
\(131\) 449.959 779.351i 0.300100 0.519788i −0.676059 0.736848i \(-0.736313\pi\)
0.976158 + 0.217060i \(0.0696467\pi\)
\(132\) −52.3268 + 20.3024i −0.0345035 + 0.0133871i
\(133\) −1277.55 + 865.110i −0.832915 + 0.564019i
\(134\) 1457.99 0.939934
\(135\) 571.346 + 859.368i 0.364249 + 0.547871i
\(136\) −125.790 + 217.874i −0.0793115 + 0.137372i
\(137\) 36.6587 + 63.4947i 0.0228610 + 0.0395965i 0.877230 0.480071i \(-0.159389\pi\)
−0.854369 + 0.519668i \(0.826056\pi\)
\(138\) 942.082 + 757.293i 0.581125 + 0.467138i
\(139\) 744.772 + 1289.98i 0.454466 + 0.787158i 0.998657 0.0518033i \(-0.0164969\pi\)
−0.544192 + 0.838961i \(0.683164\pi\)
\(140\) −116.699 56.6549i −0.0704490 0.0342015i
\(141\) 406.073 2624.86i 0.242536 1.56775i
\(142\) −1340.89 −0.792429
\(143\) −343.633 + 595.190i −0.200951 + 0.348058i
\(144\) 1427.81 + 452.604i 0.826278 + 0.261923i
\(145\) −497.914 862.413i −0.285169 0.493927i
\(146\) 263.347 456.130i 0.149279 0.258559i
\(147\) 18.2064 1782.19i 0.0102153 0.999948i
\(148\) 142.713 + 247.186i 0.0792631 + 0.137288i
\(149\) −726.774 + 1258.81i −0.399595 + 0.692119i −0.993676 0.112287i \(-0.964183\pi\)
0.594081 + 0.804405i \(0.297516\pi\)
\(150\) 911.741 353.749i 0.496289 0.192557i
\(151\) −1020.96 1768.36i −0.550230 0.953026i −0.998258 0.0590065i \(-0.981207\pi\)
0.448028 0.894020i \(-0.352127\pi\)
\(152\) −989.964 1714.67i −0.528268 0.914986i
\(153\) 211.020 192.767i 0.111503 0.101858i
\(154\) 461.794 312.710i 0.241639 0.163629i
\(155\) −196.773 + 340.821i −0.101969 + 0.176616i
\(156\) −279.496 + 108.442i −0.143446 + 0.0556561i
\(157\) −97.1388 −0.0493791 −0.0246896 0.999695i \(-0.507860\pi\)
−0.0246896 + 0.999695i \(0.507860\pi\)
\(158\) −3126.89 −1.57444
\(159\) 941.455 + 756.789i 0.469574 + 0.377467i
\(160\) 157.615 272.997i 0.0778784 0.134889i
\(161\) 1459.86 + 708.733i 0.714617 + 0.346932i
\(162\) −1581.90 1114.93i −0.767194 0.540722i
\(163\) −972.103 1683.73i −0.467122 0.809080i 0.532172 0.846636i \(-0.321376\pi\)
−0.999295 + 0.0375565i \(0.988043\pi\)
\(164\) 184.774 + 320.039i 0.0879784 + 0.152383i
\(165\) −66.2826 + 428.452i −0.0312733 + 0.202151i
\(166\) 1918.56 3323.04i 0.897043 1.55372i
\(167\) 1790.86 + 3101.86i 0.829825 + 1.43730i 0.898175 + 0.439638i \(0.144893\pi\)
−0.0683496 + 0.997661i \(0.521773\pi\)
\(168\) 2279.45 + 186.992i 1.04681 + 0.0858736i
\(169\) −736.967 + 1276.46i −0.335443 + 0.581004i
\(170\) 103.355 + 179.016i 0.0466291 + 0.0807640i
\(171\) 483.466 + 2196.77i 0.216208 + 0.982405i
\(172\) 205.278 355.552i 0.0910018 0.157620i
\(173\) −398.433 −0.175100 −0.0875501 0.996160i \(-0.527904\pi\)
−0.0875501 + 0.996160i \(0.527904\pi\)
\(174\) 1455.57 + 1170.06i 0.634177 + 0.509784i
\(175\) 1087.18 736.199i 0.469618 0.318008i
\(176\) 314.634 + 544.961i 0.134752 + 0.233398i
\(177\) −49.5418 + 320.239i −0.0210384 + 0.135992i
\(178\) 1346.93 + 2332.96i 0.567173 + 0.982373i
\(179\) −2119.43 + 3670.96i −0.884993 + 1.53285i −0.0392708 + 0.999229i \(0.512503\pi\)
−0.845722 + 0.533624i \(0.820830\pi\)
\(180\) −139.631 + 127.553i −0.0578192 + 0.0528181i
\(181\) −1047.33 −0.430096 −0.215048 0.976603i \(-0.568991\pi\)
−0.215048 + 0.976603i \(0.568991\pi\)
\(182\) 2466.61 1670.29i 1.00460 0.680277i
\(183\) −270.122 + 1746.07i −0.109115 + 0.705319i
\(184\) −1041.23 + 1803.47i −0.417177 + 0.722572i
\(185\) 2204.73 0.876191
\(186\) 112.836 729.371i 0.0444812 0.287527i
\(187\) 120.075 0.0469560
\(188\) 486.762 0.188834
\(189\) −2404.37 985.021i −0.925356 0.379099i
\(190\) −1626.80 −0.621162
\(191\) 56.6430 0.0214583 0.0107292 0.999942i \(-0.496585\pi\)
0.0107292 + 0.999942i \(0.496585\pi\)
\(192\) −442.940 + 2863.17i −0.166492 + 1.07621i
\(193\) −4931.96 −1.83943 −0.919716 0.392584i \(-0.871581\pi\)
−0.919716 + 0.392584i \(0.871581\pi\)
\(194\) −1462.85 + 2533.73i −0.541373 + 0.937686i
\(195\) −354.039 + 2288.51i −0.130017 + 0.840430i
\(196\) 323.279 46.6358i 0.117813 0.0169956i
\(197\) 1854.91 0.670846 0.335423 0.942068i \(-0.391121\pi\)
0.335423 + 0.942068i \(0.391121\pi\)
\(198\) −174.758 794.063i −0.0627247 0.285008i
\(199\) 785.414 1360.38i 0.279782 0.484596i −0.691549 0.722330i \(-0.743071\pi\)
0.971330 + 0.237734i \(0.0764046\pi\)
\(200\) 842.448 + 1459.16i 0.297850 + 0.515892i
\(201\) 436.288 2820.17i 0.153101 0.989650i
\(202\) 533.438 + 923.941i 0.185805 + 0.321823i
\(203\) 2255.58 + 1095.04i 0.779855 + 0.378603i
\(204\) 40.8241 + 32.8165i 0.0140111 + 0.0112628i
\(205\) 2854.53 0.972532
\(206\) 37.4922 64.9385i 0.0126806 0.0219635i
\(207\) 1746.73 1595.65i 0.586503 0.535773i
\(208\) 1680.57 + 2910.83i 0.560224 + 0.970336i
\(209\) −472.497 + 818.388i −0.156379 + 0.270857i
\(210\) 1069.51 1545.16i 0.351444 0.507745i
\(211\) 542.645 + 939.888i 0.177048 + 0.306657i 0.940868 0.338773i \(-0.110012\pi\)
−0.763820 + 0.645429i \(0.776678\pi\)
\(212\) −110.683 + 191.709i −0.0358573 + 0.0621067i
\(213\) −401.247 + 2593.67i −0.129075 + 0.834344i
\(214\) −2223.87 3851.86i −0.710378 1.23041i
\(215\) −1585.64 2746.41i −0.502977 0.871181i
\(216\) 1481.62 2987.02i 0.466719 0.940931i
\(217\) −70.9218 988.346i −0.0221866 0.309186i
\(218\) 524.306 908.124i 0.162892 0.282137i
\(219\) −803.483 645.881i −0.247919 0.199290i
\(220\) −79.4532 −0.0243488
\(221\) 641.365 0.195217
\(222\) −3854.73 + 1495.61i −1.16537 + 0.452156i
\(223\) 2030.15 3516.32i 0.609636 1.05592i −0.381664 0.924301i \(-0.624649\pi\)
0.991300 0.131620i \(-0.0420178\pi\)
\(224\) 56.8081 + 791.663i 0.0169449 + 0.236139i
\(225\) −411.424 1869.43i −0.121903 0.553904i
\(226\) 250.497 + 433.874i 0.0737293 + 0.127703i
\(227\) −2564.59 4441.99i −0.749857 1.29879i −0.947891 0.318596i \(-0.896789\pi\)
0.198033 0.980195i \(-0.436545\pi\)
\(228\) −384.307 + 149.109i −0.111629 + 0.0433112i
\(229\) 2749.25 4761.84i 0.793343 1.37411i −0.130543 0.991443i \(-0.541672\pi\)
0.923886 0.382668i \(-0.124995\pi\)
\(230\) 855.527 + 1481.82i 0.245269 + 0.424818i
\(231\) −466.684 986.818i −0.132924 0.281073i
\(232\) −1608.77 + 2786.47i −0.455262 + 0.788537i
\(233\) −2344.75 4061.23i −0.659270 1.14189i −0.980805 0.194991i \(-0.937532\pi\)
0.321536 0.946898i \(-0.395801\pi\)
\(234\) −933.442 4241.37i −0.260774 1.18490i
\(235\) 1879.96 3256.19i 0.521852 0.903875i
\(236\) −59.3860 −0.0163801
\(237\) −935.689 + 6048.31i −0.256454 + 1.65772i
\(238\) −468.203 227.303i −0.127517 0.0619069i
\(239\) −2236.53 3873.78i −0.605309 1.04843i −0.992003 0.126218i \(-0.959716\pi\)
0.386693 0.922208i \(-0.373617\pi\)
\(240\) 1652.57 + 1328.42i 0.444471 + 0.357289i
\(241\) 429.795 + 744.427i 0.114878 + 0.198974i 0.917731 0.397203i \(-0.130019\pi\)
−0.802853 + 0.596177i \(0.796686\pi\)
\(242\) −1595.95 + 2764.26i −0.423932 + 0.734271i
\(243\) −2629.96 + 2726.21i −0.694288 + 0.719698i
\(244\) −323.797 −0.0849547
\(245\) 936.592 2342.69i 0.244231 0.610894i
\(246\) −4990.82 + 1936.40i −1.29351 + 0.501873i
\(247\) −2523.77 + 4371.30i −0.650137 + 1.12607i
\(248\) 1271.55 0.325580
\(249\) −5853.62 4705.44i −1.48979 1.19757i
\(250\) 3825.31 0.967736
\(251\) −1788.58 −0.449778 −0.224889 0.974384i \(-0.572202\pi\)
−0.224889 + 0.974384i \(0.572202\pi\)
\(252\) 111.030 463.050i 0.0277549 0.115752i
\(253\) 993.932 0.246988
\(254\) −904.911 −0.223540
\(255\) 377.196 146.349i 0.0926311 0.0359402i
\(256\) −1441.13 −0.351837
\(257\) 869.979 1506.85i 0.211159 0.365738i −0.740919 0.671595i \(-0.765610\pi\)
0.952077 + 0.305857i \(0.0989429\pi\)
\(258\) 4635.38 + 3726.15i 1.11855 + 0.899148i
\(259\) −4596.47 + 3112.56i −1.10274 + 0.746737i
\(260\) −424.388 −0.101229
\(261\) 2698.81 2465.37i 0.640046 0.584684i
\(262\) −1194.53 + 2068.99i −0.281673 + 0.487872i
\(263\) 1257.77 + 2178.53i 0.294896 + 0.510774i 0.974961 0.222378i \(-0.0713818\pi\)
−0.680065 + 0.733152i \(0.738048\pi\)
\(264\) 1305.95 506.699i 0.304453 0.118126i
\(265\) 854.958 + 1480.83i 0.198187 + 0.343270i
\(266\) 3391.59 2296.66i 0.781773 0.529388i
\(267\) 4915.66 1907.24i 1.12672 0.437159i
\(268\) 522.980 0.119202
\(269\) 993.225 1720.32i 0.225123 0.389924i −0.731234 0.682127i \(-0.761055\pi\)
0.956356 + 0.292203i \(0.0943884\pi\)
\(270\) −1516.78 2281.41i −0.341884 0.514231i
\(271\) 2220.71 + 3846.38i 0.497780 + 0.862180i 0.999997 0.00256147i \(-0.000815341\pi\)
−0.502217 + 0.864742i \(0.667482\pi\)
\(272\) 293.620 508.564i 0.0654533 0.113368i
\(273\) −2492.72 5270.94i −0.552625 1.16854i
\(274\) −97.3199 168.563i −0.0214573 0.0371652i
\(275\) 402.089 696.439i 0.0881705 0.152716i
\(276\) 337.924 + 271.641i 0.0736980 + 0.0592422i
\(277\) 4222.69 + 7313.92i 0.915946 + 1.58646i 0.805511 + 0.592581i \(0.201891\pi\)
0.110435 + 0.993883i \(0.464776\pi\)
\(278\) −1977.19 3424.59i −0.426561 0.738825i
\(279\) −1377.05 436.513i −0.295490 0.0936679i
\(280\) 2912.52 + 1413.97i 0.621630 + 0.301788i
\(281\) 3944.00 6831.21i 0.837293 1.45023i −0.0548575 0.998494i \(-0.517470\pi\)
0.892150 0.451739i \(-0.149196\pi\)
\(282\) −1078.03 + 6968.38i −0.227644 + 1.47149i
\(283\) −7135.85 −1.49888 −0.749438 0.662074i \(-0.769676\pi\)
−0.749438 + 0.662074i \(0.769676\pi\)
\(284\) −480.977 −0.100495
\(285\) −486.804 + 3146.71i −0.101178 + 0.654017i
\(286\) 912.263 1580.09i 0.188613 0.326687i
\(287\) −5951.17 + 4029.91i −1.22400 + 0.828844i
\(288\) 1103.01 + 349.646i 0.225679 + 0.0715385i
\(289\) 2400.47 + 4157.74i 0.488596 + 0.846273i
\(290\) 1321.84 + 2289.50i 0.267659 + 0.463600i
\(291\) 4463.22 + 3587.76i 0.899101 + 0.722743i
\(292\) 94.4624 163.614i 0.0189315 0.0327903i
\(293\) −2502.16 4333.86i −0.498900 0.864119i 0.501100 0.865390i \(-0.332929\pi\)
−0.999999 + 0.00127016i \(0.999596\pi\)
\(294\) −48.3337 + 4731.28i −0.00958802 + 0.938550i
\(295\) −229.360 + 397.263i −0.0452672 + 0.0784052i
\(296\) −3561.76 6169.16i −0.699403 1.21140i
\(297\) −1588.24 + 100.417i −0.310300 + 0.0196187i
\(298\) 1929.41 3341.83i 0.375059 0.649622i
\(299\) 5308.94 1.02684
\(300\) 327.041 126.890i 0.0629391 0.0244199i
\(301\) 7183.05 + 3487.22i 1.37550 + 0.667774i
\(302\) 2710.41 + 4694.56i 0.516445 + 0.894509i
\(303\) 1946.79 755.342i 0.369110 0.143212i
\(304\) 2310.79 + 4002.40i 0.435963 + 0.755110i
\(305\) −1250.56 + 2166.04i −0.234777 + 0.406646i
\(306\) −560.206 + 511.751i −0.104656 + 0.0956040i
\(307\) −5233.06 −0.972855 −0.486428 0.873721i \(-0.661700\pi\)
−0.486428 + 0.873721i \(0.661700\pi\)
\(308\) 165.645 112.169i 0.0306445 0.0207513i
\(309\) −114.391 91.9530i −0.0210597 0.0169289i
\(310\) 522.385 904.798i 0.0957081 0.165771i
\(311\) 2411.03 0.439604 0.219802 0.975544i \(-0.429459\pi\)
0.219802 + 0.975544i \(0.429459\pi\)
\(312\) 6975.53 2706.46i 1.26574 0.491099i
\(313\) 1589.21 0.286989 0.143495 0.989651i \(-0.454166\pi\)
0.143495 + 0.989651i \(0.454166\pi\)
\(314\) 257.880 0.0463472
\(315\) −2668.75 2531.12i −0.477356 0.452738i
\(316\) −1121.61 −0.199670
\(317\) −3517.51 −0.623227 −0.311614 0.950209i \(-0.600869\pi\)
−0.311614 + 0.950209i \(0.600869\pi\)
\(318\) −2499.33 2009.09i −0.440741 0.354290i
\(319\) 1535.69 0.269536
\(320\) −2050.64 + 3551.82i −0.358233 + 0.620477i
\(321\) −8116.09 + 3148.98i −1.41120 + 0.547536i
\(322\) −3875.58 1881.51i −0.670739 0.325630i
\(323\) 881.878 0.151916
\(324\) −567.425 399.924i −0.0972951 0.0685741i
\(325\) 2147.70 3719.93i 0.366563 0.634906i
\(326\) 2580.70 + 4469.90i 0.438440 + 0.759401i
\(327\) −1599.68 1285.90i −0.270528 0.217464i
\(328\) −4611.52 7987.38i −0.776306 1.34460i
\(329\) 677.584 + 9442.62i 0.113545 + 1.58234i
\(330\) 175.964 1137.44i 0.0293531 0.189739i
\(331\) 2764.96 0.459141 0.229571 0.973292i \(-0.426268\pi\)
0.229571 + 0.973292i \(0.426268\pi\)
\(332\) 688.187 1191.97i 0.113763 0.197042i
\(333\) 1739.45 + 7903.70i 0.286250 + 1.30066i
\(334\) −4754.30 8234.68i −0.778873 1.34905i
\(335\) 2019.85 3498.48i 0.329421 0.570574i
\(336\) −5320.72 436.480i −0.863897 0.0708689i
\(337\) 1746.39 + 3024.83i 0.282290 + 0.488941i 0.971948 0.235194i \(-0.0755726\pi\)
−0.689658 + 0.724135i \(0.742239\pi\)
\(338\) 1956.47 3388.70i 0.314846 0.545329i
\(339\) 914.196 354.702i 0.146467 0.0568282i
\(340\) 37.0733 + 64.2129i 0.00591348 + 0.0102424i
\(341\) −303.448 525.587i −0.0481895 0.0834667i
\(342\) −1283.49 5831.89i −0.202933 0.922084i
\(343\) 1354.69 + 6206.32i 0.213255 + 0.976997i
\(344\) −5123.23 + 8873.70i −0.802983 + 1.39081i
\(345\) 3122.27 1211.42i 0.487238 0.189045i
\(346\) 1057.74 0.164349
\(347\) 2057.15 0.318252 0.159126 0.987258i \(-0.449132\pi\)
0.159126 + 0.987258i \(0.449132\pi\)
\(348\) 522.114 + 419.702i 0.0804260 + 0.0646505i
\(349\) 992.838 1719.65i 0.152279 0.263755i −0.779786 0.626046i \(-0.784672\pi\)
0.932065 + 0.362291i \(0.118005\pi\)
\(350\) −2886.20 + 1954.43i −0.440783 + 0.298482i
\(351\) −8483.36 + 536.361i −1.29005 + 0.0815636i
\(352\) 243.061 + 420.994i 0.0368045 + 0.0637473i
\(353\) −6160.41 10670.1i −0.928854 1.60882i −0.785243 0.619188i \(-0.787462\pi\)
−0.143611 0.989634i \(-0.545871\pi\)
\(354\) 131.522 850.157i 0.0197466 0.127642i
\(355\) −1857.62 + 3217.49i −0.277725 + 0.481033i
\(356\) 483.144 + 836.830i 0.0719286 + 0.124584i
\(357\) −579.774 + 837.621i −0.0859521 + 0.124178i
\(358\) 5626.58 9745.52i 0.830653 1.43873i
\(359\) 6436.37 + 11148.1i 0.946236 + 1.63893i 0.753257 + 0.657726i \(0.228482\pi\)
0.192979 + 0.981203i \(0.438185\pi\)
\(360\) 3484.84 3183.41i 0.510186 0.466057i
\(361\) −40.6911 + 70.4791i −0.00593252 + 0.0102754i
\(362\) 2780.41 0.403688
\(363\) 4869.31 + 3914.20i 0.704057 + 0.565957i
\(364\) 884.770 599.134i 0.127403 0.0862724i
\(365\) −729.662 1263.81i −0.104636 0.181236i
\(366\) 717.109 4635.40i 0.102415 0.662012i
\(367\) −5401.34 9355.39i −0.768250 1.33065i −0.938511 0.345248i \(-0.887795\pi\)
0.170262 0.985399i \(-0.445539\pi\)
\(368\) 2430.46 4209.68i 0.344284 0.596317i
\(369\) 2252.11 + 10233.1i 0.317725 + 1.44367i
\(370\) −5853.04 −0.822392
\(371\) −3873.01 1880.26i −0.541985 0.263122i
\(372\) 40.4741 261.625i 0.00564108 0.0364640i
\(373\) 641.645 1111.36i 0.0890700 0.154274i −0.818048 0.575150i \(-0.804944\pi\)
0.907118 + 0.420876i \(0.138277\pi\)
\(374\) −318.771 −0.0440729
\(375\) 1144.68 7399.26i 0.157630 1.01892i
\(376\) −12148.4 −1.66624
\(377\) 8202.65 1.12058
\(378\) 6383.02 + 2614.99i 0.868538 + 0.355822i
\(379\) 1490.02 0.201945 0.100973 0.994889i \(-0.467805\pi\)
0.100973 + 0.994889i \(0.467805\pi\)
\(380\) −583.534 −0.0787755
\(381\) −270.785 + 1750.36i −0.0364114 + 0.235364i
\(382\) −150.373 −0.0201408
\(383\) −2757.11 + 4775.45i −0.367837 + 0.637112i −0.989227 0.146389i \(-0.953235\pi\)
0.621390 + 0.783501i \(0.286568\pi\)
\(384\) 903.540 5840.49i 0.120074 0.776163i
\(385\) −110.601 1541.30i −0.0146409 0.204031i
\(386\) 13093.2 1.72649
\(387\) 8594.54 7851.15i 1.12890 1.03126i
\(388\) −524.723 + 908.847i −0.0686567 + 0.118917i
\(389\) 682.473 + 1182.08i 0.0889531 + 0.154071i 0.907069 0.420982i \(-0.138315\pi\)
−0.818116 + 0.575054i \(0.804981\pi\)
\(390\) 939.888 6075.45i 0.122033 0.788826i
\(391\) −463.774 803.281i −0.0599849 0.103897i
\(392\) −8068.25 + 1163.92i −1.03956 + 0.149966i
\(393\) 3644.57 + 2929.69i 0.467797 + 0.376039i
\(394\) −4924.33 −0.629655
\(395\) −4331.88 + 7503.04i −0.551799 + 0.955744i
\(396\) −62.6855 284.830i −0.00795471 0.0361446i
\(397\) 3119.14 + 5402.51i 0.394321 + 0.682984i 0.993014 0.117995i \(-0.0376466\pi\)
−0.598694 + 0.800978i \(0.704313\pi\)
\(398\) −2085.09 + 3611.47i −0.262603 + 0.454841i
\(399\) −3427.50 7247.56i −0.430049 0.909353i
\(400\) −1966.45 3406.00i −0.245807 0.425750i
\(401\) −191.520 + 331.722i −0.0238505 + 0.0413102i −0.877704 0.479203i \(-0.840926\pi\)
0.853854 + 0.520513i \(0.174259\pi\)
\(402\) −1158.24 + 7486.88i −0.143701 + 0.928884i
\(403\) −1620.82 2807.35i −0.200345 0.347007i
\(404\) 191.344 + 331.417i 0.0235636 + 0.0408134i
\(405\) −4866.79 + 2251.21i −0.597118 + 0.276206i
\(406\) −5988.02 2907.06i −0.731971 0.355357i
\(407\) −1699.98 + 2944.46i −0.207039 + 0.358603i
\(408\) −1018.87 819.019i −0.123631 0.0993810i
\(409\) 9835.18 1.18904 0.594521 0.804080i \(-0.297342\pi\)
0.594521 + 0.804080i \(0.297342\pi\)
\(410\) −7578.09 −0.912818
\(411\) −355.171 + 137.804i −0.0426260 + 0.0165386i
\(412\) 13.4485 23.2934i 0.00160815 0.00278540i
\(413\) −82.6667 1152.02i −0.00984930 0.137257i
\(414\) −4637.15 + 4236.05i −0.550491 + 0.502876i
\(415\) −5315.81 9207.25i −0.628778 1.08908i
\(416\) 1298.27 + 2248.68i 0.153012 + 0.265025i
\(417\) −7215.80 + 2799.68i −0.847385 + 0.328779i
\(418\) 1254.36 2172.62i 0.146777 0.254226i
\(419\) −3138.73 5436.44i −0.365959 0.633860i 0.622970 0.782245i \(-0.285926\pi\)
−0.988930 + 0.148386i \(0.952592\pi\)
\(420\) 383.633 554.250i 0.0445700 0.0643920i
\(421\) −6522.30 + 11297.0i −0.755054 + 1.30779i 0.190294 + 0.981727i \(0.439056\pi\)
−0.945348 + 0.326064i \(0.894277\pi\)
\(422\) −1440.59 2495.18i −0.166177 0.287828i
\(423\) 13156.3 + 4170.43i 1.51224 + 0.479369i
\(424\) 2762.38 4784.58i 0.316399 0.548019i
\(425\) −750.468 −0.0856542
\(426\) 1065.21 6885.56i 0.121150 0.783114i
\(427\) −450.732 6281.28i −0.0510830 0.711879i
\(428\) −797.703 1381.66i −0.0900898 0.156040i
\(429\) −2783.36 2237.40i −0.313244 0.251802i
\(430\) 4209.50 + 7291.07i 0.472093 + 0.817689i
\(431\) 4874.53 8442.93i 0.544774 0.943577i −0.453847 0.891080i \(-0.649949\pi\)
0.998621 0.0524973i \(-0.0167181\pi\)
\(432\) −3458.41 + 6972.34i −0.385169 + 0.776521i
\(433\) −322.352 −0.0357765 −0.0178883 0.999840i \(-0.505694\pi\)
−0.0178883 + 0.999840i \(0.505694\pi\)
\(434\) 188.280 + 2623.82i 0.0208243 + 0.290201i
\(435\) 4824.09 1871.71i 0.531719 0.206303i
\(436\) 188.068 325.744i 0.0206579 0.0357805i
\(437\) 7299.81 0.799078
\(438\) 2133.05 + 1714.66i 0.232697 + 0.187054i
\(439\) −3104.99 −0.337569 −0.168785 0.985653i \(-0.553984\pi\)
−0.168785 + 0.985653i \(0.553984\pi\)
\(440\) 1982.96 0.214850
\(441\) 9137.19 + 1509.28i 0.986631 + 0.162971i
\(442\) −1702.67 −0.183230
\(443\) −2399.30 −0.257324 −0.128662 0.991689i \(-0.541068\pi\)
−0.128662 + 0.991689i \(0.541068\pi\)
\(444\) −1382.69 + 536.474i −0.147792 + 0.0573422i
\(445\) 7463.97 0.795114
\(446\) −5389.56 + 9334.98i −0.572204 + 0.991086i
\(447\) −5886.72 4732.04i −0.622891 0.500711i
\(448\) −739.100 10299.9i −0.0779447 1.08622i
\(449\) −9003.79 −0.946358 −0.473179 0.880966i \(-0.656894\pi\)
−0.473179 + 0.880966i \(0.656894\pi\)
\(450\) 1092.23 + 4962.87i 0.114418 + 0.519894i
\(451\) −2201.01 + 3812.27i −0.229804 + 0.398033i
\(452\) 89.8532 + 155.630i 0.00935031 + 0.0161952i
\(453\) 9891.70 3837.91i 1.02594 0.398059i
\(454\) 6808.36 + 11792.4i 0.703815 + 1.21904i
\(455\) −590.758 8232.64i −0.0608685 0.848246i
\(456\) 9591.37 3721.38i 0.984993 0.382171i
\(457\) −6734.97 −0.689384 −0.344692 0.938716i \(-0.612017\pi\)
−0.344692 + 0.938716i \(0.612017\pi\)
\(458\) −7298.60 + 12641.5i −0.744631 + 1.28974i
\(459\) 822.237 + 1236.74i 0.0836138 + 0.125765i
\(460\) 306.877 + 531.527i 0.0311048 + 0.0538751i
\(461\) 1082.44 1874.84i 0.109358 0.189414i −0.806152 0.591708i \(-0.798454\pi\)
0.915510 + 0.402294i \(0.131787\pi\)
\(462\) 1238.93 + 2619.76i 0.124763 + 0.263815i
\(463\) −1458.61 2526.39i −0.146409 0.253589i 0.783488 0.621406i \(-0.213438\pi\)
−0.929898 + 0.367818i \(0.880105\pi\)
\(464\) 3755.21 6504.21i 0.375714 0.650755i
\(465\) −1593.82 1281.20i −0.158950 0.127772i
\(466\) 6224.75 + 10781.6i 0.618789 + 1.07177i
\(467\) 870.004 + 1506.89i 0.0862077 + 0.149316i 0.905905 0.423481i \(-0.139192\pi\)
−0.819698 + 0.572797i \(0.805858\pi\)
\(468\) −334.825 1521.38i −0.0330712 0.150269i
\(469\) 728.001 + 10145.2i 0.0716758 + 0.998854i
\(470\) −4990.85 + 8644.40i −0.489810 + 0.848376i
\(471\) 77.1679 498.814i 0.00754928 0.0487986i
\(472\) 1482.13 0.144535
\(473\) 4890.50 0.475403
\(474\) 2484.03 16056.8i 0.240707 1.55593i
\(475\) 2953.09 5114.91i 0.285257 0.494080i
\(476\) −167.944 81.5334i −0.0161717 0.00785100i
\(477\) −4634.06 + 4233.23i −0.444820 + 0.406345i
\(478\) 5937.44 + 10283.9i 0.568142 + 0.984052i
\(479\) 5616.37 + 9727.83i 0.535738 + 0.927925i 0.999127 + 0.0417702i \(0.0132997\pi\)
−0.463390 + 0.886155i \(0.653367\pi\)
\(480\) 1276.65 + 1026.23i 0.121397 + 0.0975853i
\(481\) −9080.21 + 15727.4i −0.860752 + 1.49087i
\(482\) −1141.00 1976.27i −0.107824 0.186757i
\(483\) −4799.12 + 6933.47i −0.452107 + 0.653176i
\(484\) −572.466 + 991.541i −0.0537628 + 0.0931199i
\(485\) 4053.16 + 7020.27i 0.379473 + 0.657266i
\(486\) 6981.90 7237.43i 0.651657 0.675507i
\(487\) −825.982 + 1430.64i −0.0768558 + 0.133118i −0.901892 0.431962i \(-0.857821\pi\)
0.825036 + 0.565080i \(0.191155\pi\)
\(488\) 8081.17 0.749625
\(489\) 9418.32 3654.24i 0.870984 0.337936i
\(490\) −2486.43 + 6219.28i −0.229235 + 0.573384i
\(491\) −7910.90 13702.1i −0.727116 1.25940i −0.958097 0.286443i \(-0.907527\pi\)
0.230982 0.972958i \(-0.425806\pi\)
\(492\) −1790.21 + 694.588i −0.164042 + 0.0636472i
\(493\) −716.560 1241.12i −0.0654609 0.113382i
\(494\) 6700.00 11604.7i 0.610217 1.05693i
\(495\) −2147.47 680.731i −0.194993 0.0618113i
\(496\) −2968.08 −0.268691
\(497\) −669.531 9330.39i −0.0604277 0.842103i
\(498\) 15539.9 + 12491.8i 1.39832 + 1.12404i
\(499\) 7054.82 12219.3i 0.632900 1.09622i −0.354056 0.935224i \(-0.615198\pi\)
0.986956 0.160991i \(-0.0514690\pi\)
\(500\) 1372.14 0.122728
\(501\) −17350.9 + 6732.04i −1.54727 + 0.600330i
\(502\) 4748.25 0.422161
\(503\) −12196.8 −1.08117 −0.540585 0.841289i \(-0.681797\pi\)
−0.540585 + 0.841289i \(0.681797\pi\)
\(504\) −2771.03 + 11556.6i −0.244904 + 1.02137i
\(505\) 2956.02 0.260478
\(506\) −2638.65 −0.231823
\(507\) −5969.28 4798.41i −0.522890 0.420325i
\(508\) −324.591 −0.0283492
\(509\) −279.226 + 483.634i −0.0243153 + 0.0421153i −0.877927 0.478795i \(-0.841074\pi\)
0.853612 + 0.520910i \(0.174407\pi\)
\(510\) −1001.36 + 388.522i −0.0869434 + 0.0337334i
\(511\) 3305.41 + 1604.71i 0.286150 + 0.138920i
\(512\) 12924.8 1.11563
\(513\) −11664.6 + 737.498i −1.00391 + 0.0634724i
\(514\) −2309.58 + 4000.32i −0.198193 + 0.343281i
\(515\) −103.881 179.927i −0.00888842 0.0153952i
\(516\) 1662.71 + 1336.57i 0.141854 + 0.114029i
\(517\) 2899.13 + 5021.44i 0.246622 + 0.427162i
\(518\) 12202.5 8263.08i 1.03503 0.700886i
\(519\) 316.519 2045.98i 0.0267700 0.173042i
\(520\) 10591.7 0.893223
\(521\) 5208.33 9021.10i 0.437968 0.758583i −0.559565 0.828787i \(-0.689032\pi\)
0.997533 + 0.0702040i \(0.0223650\pi\)
\(522\) −7164.68 + 6544.96i −0.600746 + 0.548784i
\(523\) −4310.74 7466.43i −0.360412 0.624252i 0.627616 0.778523i \(-0.284031\pi\)
−0.988029 + 0.154270i \(0.950697\pi\)
\(524\) −428.478 + 742.145i −0.0357216 + 0.0618717i
\(525\) 2916.76 + 6167.59i 0.242472 + 0.512716i
\(526\) −3339.08 5783.46i −0.276789 0.479412i
\(527\) −283.181 + 490.484i −0.0234071 + 0.0405423i
\(528\) −3048.36 + 1182.74i −0.251256 + 0.0974854i
\(529\) 2244.57 + 3887.72i 0.184480 + 0.319530i
\(530\) −2269.71 3931.25i −0.186018 0.322193i
\(531\) −1605.09 508.801i −0.131177 0.0415821i
\(532\) 1216.56 823.810i 0.0991440 0.0671366i
\(533\) −11756.4 + 20362.7i −0.955396 + 1.65479i
\(534\) −13049.9 + 5063.27i −1.05754 + 0.410317i
\(535\) −12323.5 −0.995872
\(536\) −13052.3 −1.05182
\(537\) −17166.9 13799.7i −1.37953 1.10894i
\(538\) −2636.77 + 4567.02i −0.211300 + 0.365982i
\(539\) 2406.53 + 3057.19i 0.192313 + 0.244309i
\(540\) −544.070 818.342i −0.0433575 0.0652145i
\(541\) −5922.96 10258.9i −0.470699 0.815274i 0.528740 0.848784i \(-0.322665\pi\)
−0.999438 + 0.0335100i \(0.989331\pi\)
\(542\) −5895.44 10211.2i −0.467216 0.809241i
\(543\) 832.008 5378.11i 0.0657548 0.425040i
\(544\) 226.827 392.876i 0.0178771 0.0309640i
\(545\) −1452.71 2516.16i −0.114178 0.197763i
\(546\) 6617.58 + 13993.1i 0.518693 + 1.09679i
\(547\) 6313.20 10934.8i 0.493479 0.854730i −0.506493 0.862244i \(-0.669058\pi\)
0.999972 + 0.00751393i \(0.00239178\pi\)
\(548\) −34.9086 60.4635i −0.00272121 0.00471327i
\(549\) −8751.62 2774.19i −0.680346 0.215664i
\(550\) −1067.45 + 1848.88i −0.0827567 + 0.143339i
\(551\) 11278.7 0.872027
\(552\) −8433.76 6779.49i −0.650298 0.522743i
\(553\) −1561.31 21758.0i −0.120061 1.67314i
\(554\) −11210.2 19416.7i −0.859705 1.48905i
\(555\) −1751.46 + 11321.5i −0.133956 + 0.865891i
\(556\) −709.217 1228.40i −0.0540962 0.0936974i
\(557\) 10649.8 18446.0i 0.810136 1.40320i −0.102633 0.994719i \(-0.532727\pi\)
0.912769 0.408477i \(-0.133940\pi\)
\(558\) 3655.73 + 1158.84i 0.277347 + 0.0879166i
\(559\) 26121.9 1.97646
\(560\) −6798.44 3300.50i −0.513012 0.249056i
\(561\) −95.3889 + 616.595i −0.00717883 + 0.0464040i
\(562\) −10470.4 + 18135.2i −0.785882 + 1.36119i
\(563\) 2526.22 0.189107 0.0945536 0.995520i \(-0.469858\pi\)
0.0945536 + 0.995520i \(0.469858\pi\)
\(564\) −386.688 + 2499.55i −0.0288697 + 0.186614i
\(565\) 1388.12 0.103360
\(566\) 18944.0 1.40684
\(567\) 6968.20 11564.1i 0.516115 0.856520i
\(568\) 12004.0 0.886754
\(569\) −470.986 −0.0347008 −0.0173504 0.999849i \(-0.505523\pi\)
−0.0173504 + 0.999849i \(0.505523\pi\)
\(570\) 1292.35 8353.75i 0.0949658 0.613860i
\(571\) −10616.2 −0.778060 −0.389030 0.921225i \(-0.627190\pi\)
−0.389030 + 0.921225i \(0.627190\pi\)
\(572\) 327.228 566.776i 0.0239198 0.0414303i
\(573\) −44.9977 + 290.866i −0.00328064 + 0.0212061i
\(574\) 15798.9 10698.4i 1.14884 0.777952i
\(575\) −6212.05 −0.450540
\(576\) −14350.7 4549.06i −1.03810 0.329069i
\(577\) 10567.4 18303.2i 0.762434 1.32057i −0.179158 0.983820i \(-0.557337\pi\)
0.941592 0.336755i \(-0.109329\pi\)
\(578\) −6372.67 11037.8i −0.458596 0.794311i
\(579\) 3917.99 25326.0i 0.281220 1.81781i
\(580\) 474.144 + 821.242i 0.0339444 + 0.0587935i
\(581\) 24080.9 + 11690.8i 1.71953 + 0.834794i
\(582\) −11848.8 9524.64i −0.843895 0.678366i
\(583\) −2636.89 −0.187322
\(584\) −2357.55 + 4083.40i −0.167048 + 0.289336i
\(585\) −11470.4 3636.03i −0.810672 0.256976i
\(586\) 6642.62 + 11505.4i 0.468266 + 0.811061i
\(587\) −6558.36 + 11359.4i −0.461146 + 0.798727i −0.999018 0.0442985i \(-0.985895\pi\)
0.537873 + 0.843026i \(0.319228\pi\)
\(588\) −17.3373 + 1697.11i −0.00121595 + 0.119026i
\(589\) −2228.64 3860.11i −0.155907 0.270039i
\(590\) 608.894 1054.64i 0.0424878 0.0735910i
\(591\) −1473.55 + 9525.07i −0.102562 + 0.662959i
\(592\) 8313.92 + 14400.1i 0.577196 + 0.999733i
\(593\) −6711.80 11625.2i −0.464790 0.805040i 0.534402 0.845231i \(-0.320537\pi\)
−0.999192 + 0.0401902i \(0.987204\pi\)
\(594\) 4216.39 266.582i 0.291247 0.0184141i
\(595\) −1194.05 + 808.566i −0.0822710 + 0.0557109i
\(596\) 692.078 1198.71i 0.0475648 0.0823847i
\(597\) 6361.69 + 5113.85i 0.436125 + 0.350580i
\(598\) −14094.0 −0.963788
\(599\) 10034.0 0.684441 0.342220 0.939620i \(-0.388821\pi\)
0.342220 + 0.939620i \(0.388821\pi\)
\(600\) −8162.15 + 3166.86i −0.555364 + 0.215477i
\(601\) −6335.96 + 10974.2i −0.430032 + 0.744837i −0.996876 0.0789886i \(-0.974831\pi\)
0.566844 + 0.823825i \(0.308164\pi\)
\(602\) −19069.3 9257.73i −1.29104 0.626772i
\(603\) 14135.2 + 4480.74i 0.954609 + 0.302603i
\(604\) 972.222 + 1683.94i 0.0654953 + 0.113441i
\(605\) 4421.94 + 7659.03i 0.297153 + 0.514684i
\(606\) −5168.27 + 2005.25i −0.346446 + 0.134419i
\(607\) 4986.25 8636.44i 0.333420 0.577500i −0.649760 0.760139i \(-0.725131\pi\)
0.983180 + 0.182639i \(0.0584641\pi\)
\(608\) 1785.13 + 3091.94i 0.119073 + 0.206241i
\(609\) −7414.94 + 10712.6i −0.493380 + 0.712805i
\(610\) 3319.94 5750.30i 0.220361 0.381677i
\(611\) 15485.3 + 26821.3i 1.02531 + 1.77590i
\(612\) −200.946 + 183.565i −0.0132725 + 0.0121245i
\(613\) −14113.2 + 24444.7i −0.929895 + 1.61063i −0.146403 + 0.989225i \(0.546770\pi\)
−0.783493 + 0.621401i \(0.786564\pi\)
\(614\) 13892.5 0.913121
\(615\) −2267.66 + 14658.2i −0.148685 + 0.961099i
\(616\) −4134.10 + 2799.46i −0.270402 + 0.183106i
\(617\) 98.5457 + 170.686i 0.00642999 + 0.0111371i 0.869222 0.494421i \(-0.164620\pi\)
−0.862793 + 0.505558i \(0.831287\pi\)
\(618\) 303.679 + 244.113i 0.0197666 + 0.0158894i
\(619\) −6575.78 11389.6i −0.426983 0.739557i 0.569620 0.821908i \(-0.307090\pi\)
−0.996603 + 0.0823513i \(0.973757\pi\)
\(620\) 187.379 324.551i 0.0121376 0.0210230i
\(621\) 6806.13 + 10237.2i 0.439808 + 0.661520i
\(622\) −6400.70 −0.412612
\(623\) −15561.0 + 10537.3i −1.00070 + 0.677639i
\(624\) −16282.4 + 6317.45i −1.04458 + 0.405289i
\(625\) 868.516 1504.31i 0.0555850 0.0962761i
\(626\) −4218.98 −0.269368
\(627\) −3827.12 3076.44i −0.243765 0.195951i
\(628\) 92.5015 0.00587772
\(629\) 3172.89 0.201131
\(630\) 7084.89 + 6719.50i 0.448046 + 0.424939i
\(631\) −342.571 −0.0216126 −0.0108063 0.999942i \(-0.503440\pi\)
−0.0108063 + 0.999942i \(0.503440\pi\)
\(632\) 27992.7 1.76185
\(633\) −5257.47 + 2039.86i −0.330120 + 0.128084i
\(634\) 9338.13 0.584960
\(635\) −1253.63 + 2171.35i −0.0783446 + 0.135697i
\(636\) −896.510 720.661i −0.0558946 0.0449309i
\(637\) 12854.1 + 16329.5i 0.799527 + 1.01570i
\(638\) −4076.88 −0.252986
\(639\) −12999.9 4120.86i −0.804802 0.255116i
\(640\) 4183.04 7245.24i 0.258358 0.447490i
\(641\) −9596.99 16622.5i −0.591355 1.02426i −0.994050 0.108923i \(-0.965260\pi\)
0.402695 0.915334i \(-0.368073\pi\)
\(642\) 21546.2 8359.79i 1.32455 0.513917i
\(643\) 4980.89 + 8627.15i 0.305485 + 0.529116i 0.977369 0.211540i \(-0.0678480\pi\)
−0.671884 + 0.740656i \(0.734515\pi\)
\(644\) −1390.17 674.899i −0.0850627 0.0412962i
\(645\) 15362.7 5960.61i 0.937837 0.363874i
\(646\) −2341.17 −0.142589
\(647\) −10665.4 + 18472.9i −0.648065 + 1.12248i 0.335519 + 0.942033i \(0.391088\pi\)
−0.983584 + 0.180449i \(0.942245\pi\)
\(648\) 14161.5 + 9981.13i 0.858515 + 0.605086i
\(649\) −353.700 612.627i −0.0213928 0.0370535i
\(650\) −5701.63 + 9875.50i −0.344056 + 0.595922i
\(651\) 5131.56 + 420.962i 0.308943 + 0.0253438i
\(652\) 925.695 + 1603.35i 0.0556028 + 0.0963068i
\(653\) −3410.51 + 5907.17i −0.204385 + 0.354005i −0.949937 0.312443i \(-0.898853\pi\)
0.745552 + 0.666448i \(0.232186\pi\)
\(654\) 4246.77 + 3413.77i 0.253917 + 0.204111i
\(655\) 3309.72 + 5732.60i 0.197437 + 0.341972i
\(656\) 10764.3 + 18644.2i 0.640661 + 1.10966i
\(657\) 3954.94 3612.85i 0.234850 0.214537i
\(658\) −1798.82 25067.9i −0.106573 1.48518i
\(659\) −3066.00 + 5310.47i −0.181236 + 0.313910i −0.942302 0.334765i \(-0.891343\pi\)
0.761066 + 0.648675i \(0.224676\pi\)
\(660\) 63.1183 407.998i 0.00372254 0.0240626i
\(661\) 17153.8 1.00939 0.504695 0.863297i \(-0.331605\pi\)
0.504695 + 0.863297i \(0.331605\pi\)
\(662\) −7340.29 −0.430949
\(663\) −509.506 + 3293.45i −0.0298455 + 0.192922i
\(664\) −17175.5 + 29748.8i −1.00382 + 1.73867i
\(665\) −812.293 11319.9i −0.0473675 0.660100i
\(666\) −4617.82 20982.4i −0.268674 1.22080i
\(667\) −5931.38 10273.4i −0.344324 0.596386i
\(668\) −1705.36 2953.78i −0.0987762 0.171085i
\(669\) 16443.8 + 13218.4i 0.950304 + 0.763903i
\(670\) −5362.20 + 9287.61i −0.309194 + 0.535540i
\(671\) −1928.52 3340.29i −0.110953 0.192176i
\(672\) −4110.37 337.190i −0.235954 0.0193562i
\(673\) 4616.02 7995.19i 0.264390 0.457937i −0.703013 0.711177i \(-0.748163\pi\)
0.967404 + 0.253239i \(0.0814960\pi\)
\(674\) −4636.24 8030.20i −0.264957 0.458919i
\(675\) 9926.47 627.602i 0.566030 0.0357873i
\(676\) 701.785 1215.53i 0.0399286 0.0691583i
\(677\) 25076.6 1.42359 0.711797 0.702385i \(-0.247882\pi\)
0.711797 + 0.702385i \(0.247882\pi\)
\(678\) −2426.97 + 941.647i −0.137474 + 0.0533388i
\(679\) −18361.0 8913.89i −1.03775 0.503805i
\(680\) −925.259 1602.60i −0.0521795 0.0903776i
\(681\) 24847.3 9640.57i 1.39816 0.542478i
\(682\) 805.581 + 1395.31i 0.0452306 + 0.0783417i
\(683\) −1958.77 + 3392.69i −0.109737 + 0.190070i −0.915664 0.401945i \(-0.868334\pi\)
0.805927 + 0.592015i \(0.201668\pi\)
\(684\) −460.386 2091.90i −0.0257358 0.116938i
\(685\) −539.294 −0.0300808
\(686\) −3596.38 16476.3i −0.200161 0.917008i
\(687\) 22268.4 + 17900.4i 1.23667 + 0.994096i
\(688\) 11958.7 20713.1i 0.662677 1.14779i
\(689\) −14084.6 −0.778781
\(690\) −8288.86 + 3216.02i −0.457321 + 0.177437i
\(691\) −31924.9 −1.75757 −0.878784 0.477220i \(-0.841644\pi\)
−0.878784 + 0.477220i \(0.841644\pi\)
\(692\) 379.412 0.0208426
\(693\) 5438.11 1612.52i 0.298091 0.0883902i
\(694\) −5461.22 −0.298711
\(695\) −10956.5 −0.597991
\(696\) −13030.7 10474.7i −0.709665 0.570465i
\(697\) 4108.02 0.223246
\(698\) −2635.75 + 4565.25i −0.142929 + 0.247560i
\(699\) 22717.4 8814.18i 1.22926 0.476943i
\(700\) −1035.28 + 701.053i −0.0558998 + 0.0378533i
\(701\) −8392.31 −0.452173 −0.226087 0.974107i \(-0.572593\pi\)
−0.226087 + 0.974107i \(0.572593\pi\)
\(702\) 22521.3 1423.91i 1.21084 0.0765555i
\(703\) −12485.3 + 21625.2i −0.669833 + 1.16018i
\(704\) −3162.34 5477.33i −0.169297 0.293231i
\(705\) 15227.3 + 12240.5i 0.813466 + 0.653905i
\(706\) 16354.4 + 28326.6i 0.871821 + 1.51004i
\(707\) −6162.76 + 4173.19i −0.327828 + 0.221993i
\(708\) 47.1767 304.951i 0.00250425 0.0161875i
\(709\) 1541.97 0.0816784 0.0408392 0.999166i \(-0.486997\pi\)
0.0408392 + 0.999166i \(0.486997\pi\)
\(710\) 4931.53 8541.67i 0.260672 0.451497i
\(711\) −30315.2 9609.65i −1.59903 0.506878i
\(712\) −12058.1 20885.2i −0.634685 1.09931i
\(713\) −2344.05 + 4060.02i −0.123121 + 0.213252i
\(714\) 1539.16 2223.68i 0.0806745 0.116554i
\(715\) −2527.63 4377.99i −0.132207 0.228990i
\(716\) 2018.25 3495.71i 0.105343 0.182459i
\(717\) 21668.8 8407.35i 1.12864 0.437906i
\(718\) −17087.0 29595.6i −0.888136 1.53830i
\(719\) −12510.3 21668.5i −0.648896 1.12392i −0.983387 0.181521i \(-0.941898\pi\)
0.334492 0.942399i \(-0.391435\pi\)
\(720\) −8134.36 + 7430.76i −0.421041 + 0.384623i
\(721\) 470.586 + 228.460i 0.0243073 + 0.0118007i
\(722\) 108.025 187.105i 0.00556825 0.00964450i
\(723\) −4164.12 + 1615.65i −0.214198 + 0.0831073i
\(724\) 997.331 0.0511955
\(725\) −9598.01 −0.491670
\(726\) −12926.8 10391.3i −0.660827 0.531206i
\(727\) −712.918 + 1234.81i −0.0363695 + 0.0629939i −0.883637 0.468172i \(-0.844913\pi\)
0.847268 + 0.531166i \(0.178246\pi\)
\(728\) −22081.7 + 14952.9i −1.12418 + 0.761252i
\(729\) −11910.0 15670.7i −0.605092 0.796156i
\(730\) 1937.08 + 3355.12i 0.0982116 + 0.170107i
\(731\) −2281.94 3952.43i −0.115459 0.199981i
\(732\) 257.227 1662.72i 0.0129882 0.0839560i
\(733\) −1294.04 + 2241.34i −0.0652067 + 0.112941i −0.896786 0.442465i \(-0.854104\pi\)
0.831579 + 0.555407i \(0.187437\pi\)
\(734\) 14339.2 + 24836.3i 0.721078 + 1.24894i
\(735\) 11285.8 + 6670.52i 0.566373 + 0.334756i
\(736\) 1877.58 3252.06i 0.0940333 0.162870i
\(737\) 3114.85 + 5395.07i 0.155681 + 0.269647i
\(738\) −5978.82 27166.5i −0.298216 1.35503i
\(739\) −2281.47 + 3951.62i −0.113566 + 0.196702i −0.917206 0.398414i \(-0.869561\pi\)
0.803640 + 0.595116i \(0.202894\pi\)
\(740\) −2099.48 −0.104295
\(741\) −20442.0 16432.3i −1.01344 0.814652i
\(742\) 10281.9 + 4991.64i 0.508706 + 0.246966i
\(743\) 5519.60 + 9560.23i 0.272536 + 0.472047i 0.969511 0.245049i \(-0.0788042\pi\)
−0.696974 + 0.717096i \(0.745471\pi\)
\(744\) −1010.13 + 6529.52i −0.0497759 + 0.321752i
\(745\) −5345.87 9259.31i −0.262896 0.455349i
\(746\) −1703.41 + 2950.40i −0.0836010 + 0.144801i
\(747\) 28812.9 26320.7i 1.41126 1.28919i
\(748\) −114.343 −0.00558930
\(749\) 25692.2 17397.8i 1.25337 0.848735i
\(750\) −3038.86 + 19643.2i −0.147951 + 0.956360i
\(751\) −9589.06 + 16608.7i −0.465925 + 0.807006i −0.999243 0.0389093i \(-0.987612\pi\)
0.533318 + 0.845915i \(0.320945\pi\)
\(752\) 28356.9 1.37509
\(753\) 1420.86 9184.49i 0.0687639 0.444491i
\(754\) −21776.0 −1.05177
\(755\) 15019.6 0.723999
\(756\) 2289.59 + 937.996i 0.110148 + 0.0451251i
\(757\) −17087.1 −0.820399 −0.410199 0.911996i \(-0.634541\pi\)
−0.410199 + 0.911996i \(0.634541\pi\)
\(758\) −3955.64 −0.189545
\(759\) −789.588 + 5103.91i −0.0377605 + 0.244085i
\(760\) 14563.6 0.695101
\(761\) −17911.9 + 31024.3i −0.853228 + 1.47783i 0.0250514 + 0.999686i \(0.492025\pi\)
−0.878279 + 0.478148i \(0.841308\pi\)
\(762\) 718.869 4646.78i 0.0341757 0.220912i
\(763\) 6580.85 + 3194.86i 0.312245 + 0.151588i
\(764\) −53.9389 −0.00255424
\(765\) 451.866 + 2053.19i 0.0213559 + 0.0970368i
\(766\) 7319.45 12677.7i 0.345251 0.597993i
\(767\) −1889.24 3272.26i −0.0889393 0.154047i
\(768\) 1144.84 7400.28i 0.0537903 0.347701i
\(769\) −15798.1 27363.1i −0.740823 1.28314i −0.952121 0.305722i \(-0.901102\pi\)
0.211297 0.977422i \(-0.432231\pi\)
\(770\) 293.618 + 4091.78i 0.0137419 + 0.191503i
\(771\) 7046.65 + 5664.45i 0.329155 + 0.264592i
\(772\) 4696.51 0.218952
\(773\) −18673.5 + 32343.5i −0.868875 + 1.50493i