Properties

Label 966.2.s.a.97.15
Level $966$
Weight $2$
Character 966.97
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 97.15
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.a.727.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.341716 - 2.37669i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(1.93632 + 1.80296i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.341716 - 2.37669i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(1.93632 + 1.80296i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +(-0.997464 + 2.18414i) q^{10} +(0.692982 + 2.36008i) q^{11} +(0.281733 + 0.959493i) q^{12} +(3.28973 + 1.50237i) q^{13} +(-1.34993 - 2.27545i) q^{14} +(1.81465 - 1.57240i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-5.60723 + 3.60355i) q^{17} +(0.142315 - 0.989821i) q^{18} +(1.18505 + 0.761584i) q^{19} +(1.57240 - 1.81465i) q^{20} +(0.282685 + 2.63061i) q^{21} -2.45972i q^{22} +(-2.49619 + 4.09500i) q^{23} -1.00000i q^{24} +(-0.734408 - 0.215642i) q^{25} +(-2.73321 - 2.36834i) q^{26} +(-0.540641 + 0.841254i) q^{27} +(0.654182 + 2.56360i) q^{28} +(4.18123 - 2.68711i) q^{29} +(-2.18414 + 0.997464i) q^{30} +(2.24033 - 1.94126i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(-1.02180 + 2.23744i) q^{33} +(6.39533 - 1.87784i) q^{34} +(4.94674 - 3.98593i) q^{35} +(-0.415415 + 0.909632i) q^{36} +(3.08660 - 0.443787i) q^{37} +(-0.922482 - 1.06460i) q^{38} +(1.50237 + 3.28973i) q^{39} +(-2.01996 + 1.29815i) q^{40} +(-8.12767 - 1.16858i) q^{41} +(0.469893 - 2.60369i) q^{42} +(4.24949 + 3.68220i) q^{43} +(-0.692982 + 2.36008i) q^{44} +2.40113 q^{45} +(3.54877 - 3.22586i) q^{46} -4.45289i q^{47} +(-0.281733 + 0.959493i) q^{48} +(0.498671 + 6.98222i) q^{49} +(0.643906 + 0.413814i) q^{50} +(-6.59748 - 0.948574i) q^{51} +(1.95526 + 3.04244i) q^{52} +(7.96008 - 3.63525i) q^{53} +(0.755750 - 0.654861i) q^{54} +(5.84598 - 0.840525i) q^{55} +(0.0945662 - 2.64406i) q^{56} +(0.396868 + 1.35161i) q^{57} +(-4.76891 + 1.40028i) q^{58} +(5.00403 + 2.28526i) q^{59} +(2.37669 - 0.341716i) q^{60} +(-8.37626 - 9.66672i) q^{61} +(-2.69650 + 1.23145i) q^{62} +(-1.50904 + 2.17320i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(4.69482 - 7.30528i) q^{65} +(1.61077 - 1.85893i) q^{66} +(0.857529 - 2.92048i) q^{67} -6.66532 q^{68} +(-4.56815 + 1.46014i) q^{69} +(-5.86933 + 2.43081i) q^{70} +(14.8816 + 4.36963i) q^{71} +(0.654861 - 0.755750i) q^{72} +(-7.27883 + 11.3261i) q^{73} +(-3.08660 - 0.443787i) q^{74} +(-0.413814 - 0.643906i) q^{75} +(0.585182 + 1.28137i) q^{76} +(-2.91330 + 5.81929i) q^{77} +(-0.514689 - 3.57974i) q^{78} +(-0.459240 - 0.209728i) q^{79} +(2.30386 - 0.676476i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(7.46921 + 3.41107i) q^{82} +(-0.0423414 - 0.294491i) q^{83} +(-1.18440 + 2.36584i) q^{84} +(6.64842 + 14.5580i) q^{85} +(-3.03996 - 4.73027i) q^{86} +(4.91965 + 0.707339i) q^{87} +(1.32982 - 2.06925i) q^{88} +(-2.92830 + 3.37944i) q^{89} +(-2.30386 - 0.676476i) q^{90} +(3.66126 + 8.84032i) q^{91} +(-4.31385 + 2.09539i) q^{92} +2.96439 q^{93} +(-1.25452 + 4.27251i) q^{94} +(2.21500 - 2.55624i) q^{95} +(0.540641 - 0.841254i) q^{96} +(-1.66184 + 11.5584i) q^{97} +(1.48865 - 6.83988i) q^{98} +(-2.23744 + 1.02180i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} + O(q^{10}) \) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} - 22q^{14} - 16q^{16} + 16q^{18} - 36q^{23} + 96q^{25} + 22q^{28} - 20q^{29} - 16q^{32} - 50q^{35} + 16q^{36} + 22q^{37} + 4q^{39} - 110q^{43} + 8q^{46} - 36q^{50} + 22q^{51} - 88q^{53} + 22q^{57} + 24q^{58} - 16q^{64} - 72q^{70} + 48q^{71} + 16q^{72} - 22q^{74} + 24q^{77} + 4q^{78} + 88q^{79} - 16q^{81} + 22q^{84} + 76q^{85} + 44q^{86} - 44q^{88} + 8q^{92} - 14q^{95} + 22q^{98} - 22q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 0.281733i −0.678464 0.199215i
\(3\) 0.755750 + 0.654861i 0.436332 + 0.378084i
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) 0.341716 2.37669i 0.152820 1.06289i −0.758643 0.651506i \(-0.774138\pi\)
0.911464 0.411381i \(-0.134953\pi\)
\(6\) −0.540641 0.841254i −0.220716 0.343440i
\(7\) 1.93632 + 1.80296i 0.731860 + 0.681455i
\(8\) −0.654861 0.755750i −0.231528 0.267198i
\(9\) 0.142315 + 0.989821i 0.0474383 + 0.329940i
\(10\) −0.997464 + 2.18414i −0.315426 + 0.690686i
\(11\) 0.692982 + 2.36008i 0.208942 + 0.711591i 0.995558 + 0.0941488i \(0.0300129\pi\)
−0.786616 + 0.617442i \(0.788169\pi\)
\(12\) 0.281733 + 0.959493i 0.0813292 + 0.276982i
\(13\) 3.28973 + 1.50237i 0.912407 + 0.416682i 0.815597 0.578620i \(-0.196409\pi\)
0.0968103 + 0.995303i \(0.469136\pi\)
\(14\) −1.34993 2.27545i −0.360785 0.608140i
\(15\) 1.81465 1.57240i 0.468541 0.405993i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) −5.60723 + 3.60355i −1.35995 + 0.873988i −0.998298 0.0583239i \(-0.981424\pi\)
−0.361655 + 0.932312i \(0.617788\pi\)
\(18\) 0.142315 0.989821i 0.0335439 0.233303i
\(19\) 1.18505 + 0.761584i 0.271869 + 0.174719i 0.669470 0.742839i \(-0.266521\pi\)
−0.397602 + 0.917558i \(0.630157\pi\)
\(20\) 1.57240 1.81465i 0.351600 0.405768i
\(21\) 0.282685 + 2.63061i 0.0616870 + 0.574045i
\(22\) 2.45972i 0.524413i
\(23\) −2.49619 + 4.09500i −0.520492 + 0.853866i
\(24\) 1.00000i 0.204124i
\(25\) −0.734408 0.215642i −0.146882 0.0431284i
\(26\) −2.73321 2.36834i −0.536026 0.464469i
\(27\) −0.540641 + 0.841254i −0.104046 + 0.161899i
\(28\) 0.654182 + 2.56360i 0.123629 + 0.484475i
\(29\) 4.18123 2.68711i 0.776435 0.498984i −0.0914137 0.995813i \(-0.529139\pi\)
0.867849 + 0.496829i \(0.165502\pi\)
\(30\) −2.18414 + 0.997464i −0.398768 + 0.182111i
\(31\) 2.24033 1.94126i 0.402376 0.348661i −0.430042 0.902809i \(-0.641501\pi\)
0.832418 + 0.554148i \(0.186956\pi\)
\(32\) −0.142315 0.989821i −0.0251579 0.174977i
\(33\) −1.02180 + 2.23744i −0.177873 + 0.389488i
\(34\) 6.39533 1.87784i 1.09679 0.322047i
\(35\) 4.94674 3.98593i 0.836152 0.673745i
\(36\) −0.415415 + 0.909632i −0.0692358 + 0.151605i
\(37\) 3.08660 0.443787i 0.507435 0.0729581i 0.116157 0.993231i \(-0.462942\pi\)
0.391278 + 0.920273i \(0.372033\pi\)
\(38\) −0.922482 1.06460i −0.149646 0.172701i
\(39\) 1.50237 + 3.28973i 0.240572 + 0.526779i
\(40\) −2.01996 + 1.29815i −0.319383 + 0.205255i
\(41\) −8.12767 1.16858i −1.26933 0.182502i −0.525454 0.850822i \(-0.676105\pi\)
−0.743874 + 0.668320i \(0.767014\pi\)
\(42\) 0.469893 2.60369i 0.0725060 0.401758i
\(43\) 4.24949 + 3.68220i 0.648041 + 0.561531i 0.915640 0.402000i \(-0.131685\pi\)
−0.267599 + 0.963530i \(0.586230\pi\)
\(44\) −0.692982 + 2.36008i −0.104471 + 0.355796i
\(45\) 2.40113 0.357939
\(46\) 3.54877 3.22586i 0.523238 0.475628i
\(47\) 4.45289i 0.649520i −0.945796 0.324760i \(-0.894716\pi\)
0.945796 0.324760i \(-0.105284\pi\)
\(48\) −0.281733 + 0.959493i −0.0406646 + 0.138491i
\(49\) 0.498671 + 6.98222i 0.0712387 + 0.997459i
\(50\) 0.643906 + 0.413814i 0.0910621 + 0.0585221i
\(51\) −6.59748 0.948574i −0.923832 0.132827i
\(52\) 1.95526 + 3.04244i 0.271145 + 0.421910i
\(53\) 7.96008 3.63525i 1.09340 0.499340i 0.214685 0.976683i \(-0.431128\pi\)
0.878717 + 0.477344i \(0.158400\pi\)
\(54\) 0.755750 0.654861i 0.102844 0.0891153i
\(55\) 5.84598 0.840525i 0.788272 0.113336i
\(56\) 0.0945662 2.64406i 0.0126369 0.353327i
\(57\) 0.396868 + 1.35161i 0.0525664 + 0.179025i
\(58\) −4.76891 + 1.40028i −0.626188 + 0.183866i
\(59\) 5.00403 + 2.28526i 0.651469 + 0.297516i 0.713602 0.700552i \(-0.247063\pi\)
−0.0621321 + 0.998068i \(0.519790\pi\)
\(60\) 2.37669 0.341716i 0.306829 0.0441154i
\(61\) −8.37626 9.66672i −1.07247 1.23770i −0.970037 0.242957i \(-0.921883\pi\)
−0.102433 0.994740i \(-0.532663\pi\)
\(62\) −2.69650 + 1.23145i −0.342456 + 0.156394i
\(63\) −1.50904 + 2.17320i −0.190121 + 0.273797i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) 4.69482 7.30528i 0.582320 0.906108i
\(66\) 1.61077 1.85893i 0.198272 0.228818i
\(67\) 0.857529 2.92048i 0.104764 0.356793i −0.890381 0.455217i \(-0.849562\pi\)
0.995145 + 0.0984236i \(0.0313800\pi\)
\(68\) −6.66532 −0.808289
\(69\) −4.56815 + 1.46014i −0.549941 + 0.175780i
\(70\) −5.86933 + 2.43081i −0.701519 + 0.290537i
\(71\) 14.8816 + 4.36963i 1.76612 + 0.518580i 0.993251 0.115986i \(-0.0370027\pi\)
0.772869 + 0.634566i \(0.218821\pi\)
\(72\) 0.654861 0.755750i 0.0771761 0.0890659i
\(73\) −7.27883 + 11.3261i −0.851923 + 1.32562i 0.0921041 + 0.995749i \(0.470641\pi\)
−0.944027 + 0.329868i \(0.892996\pi\)
\(74\) −3.08660 0.443787i −0.358811 0.0515892i
\(75\) −0.413814 0.643906i −0.0477831 0.0743519i
\(76\) 0.585182 + 1.28137i 0.0671250 + 0.146983i
\(77\) −2.91330 + 5.81929i −0.332001 + 0.663170i
\(78\) −0.514689 3.57974i −0.0582770 0.405326i
\(79\) −0.459240 0.209728i −0.0516685 0.0235962i 0.389413 0.921063i \(-0.372678\pi\)
−0.441082 + 0.897467i \(0.645405\pi\)
\(80\) 2.30386 0.676476i 0.257580 0.0756323i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) 7.46921 + 3.41107i 0.824836 + 0.376690i
\(83\) −0.0423414 0.294491i −0.00464757 0.0323246i 0.987366 0.158458i \(-0.0506523\pi\)
−0.992013 + 0.126134i \(0.959743\pi\)
\(84\) −1.18440 + 2.36584i −0.129229 + 0.258134i
\(85\) 6.64842 + 14.5580i 0.721123 + 1.57904i
\(86\) −3.03996 4.73027i −0.327807 0.510078i
\(87\) 4.91965 + 0.707339i 0.527442 + 0.0758347i
\(88\) 1.32982 2.06925i 0.141760 0.220582i
\(89\) −2.92830 + 3.37944i −0.310399 + 0.358220i −0.889418 0.457094i \(-0.848890\pi\)
0.579019 + 0.815314i \(0.303436\pi\)
\(90\) −2.30386 0.676476i −0.242849 0.0713068i
\(91\) 3.66126 + 8.84032i 0.383804 + 0.926718i
\(92\) −4.31385 + 2.09539i −0.449750 + 0.218459i
\(93\) 2.96439 0.307393
\(94\) −1.25452 + 4.27251i −0.129394 + 0.440676i
\(95\) 2.21500 2.55624i 0.227254 0.262265i
\(96\) 0.540641 0.841254i 0.0551789 0.0858601i
\(97\) −1.66184 + 11.5584i −0.168735 + 1.17357i 0.712770 + 0.701398i \(0.247440\pi\)
−0.881504 + 0.472176i \(0.843469\pi\)
\(98\) 1.48865 6.83988i 0.150376 0.690932i
\(99\) −2.23744 + 1.02180i −0.224871 + 0.102695i
\(100\) −0.501239 0.578461i −0.0501239 0.0578461i
\(101\) −2.26081 + 0.325056i −0.224959 + 0.0323443i −0.253873 0.967238i \(-0.581704\pi\)
0.0289133 + 0.999582i \(0.490795\pi\)
\(102\) 6.06299 + 2.76888i 0.600326 + 0.274160i
\(103\) −6.13142 + 1.80035i −0.604146 + 0.177393i −0.569479 0.822006i \(-0.692855\pi\)
−0.0346668 + 0.999399i \(0.511037\pi\)
\(104\) −1.01890 3.47006i −0.0999114 0.340267i
\(105\) 6.34873 + 0.227065i 0.619572 + 0.0221593i
\(106\) −8.66181 + 1.24538i −0.841309 + 0.120962i
\(107\) 8.63552 7.48272i 0.834827 0.723382i −0.128501 0.991709i \(-0.541016\pi\)
0.963328 + 0.268328i \(0.0864710\pi\)
\(108\) −0.909632 + 0.415415i −0.0875294 + 0.0399733i
\(109\) −2.29125 3.56525i −0.219462 0.341489i 0.714013 0.700133i \(-0.246876\pi\)
−0.933475 + 0.358643i \(0.883239\pi\)
\(110\) −5.84598 0.840525i −0.557392 0.0801409i
\(111\) 2.62332 + 1.68590i 0.248994 + 0.160019i
\(112\) −0.835654 + 2.51032i −0.0789618 + 0.237203i
\(113\) 0.0553548 0.188521i 0.00520735 0.0177346i −0.956848 0.290588i \(-0.906149\pi\)
0.962056 + 0.272853i \(0.0879673\pi\)
\(114\) 1.40867i 0.131934i
\(115\) 8.87955 + 7.33200i 0.828022 + 0.683712i
\(116\) 4.97024 0.461475
\(117\) −1.01890 + 3.47006i −0.0941974 + 0.320807i
\(118\) −4.15750 3.60249i −0.382729 0.331636i
\(119\) −17.3544 3.13199i −1.59088 0.287109i
\(120\) −2.37669 0.341716i −0.216961 0.0311943i
\(121\) 4.16403 2.67606i 0.378548 0.243278i
\(122\) 5.31353 + 11.6350i 0.481065 + 1.05338i
\(123\) −5.37722 6.20564i −0.484848 0.559544i
\(124\) 2.93421 0.421876i 0.263500 0.0378856i
\(125\) 4.22385 9.24894i 0.377793 0.827250i
\(126\) 2.06018 1.66002i 0.183535 0.147887i
\(127\) 10.3171 3.02939i 0.915499 0.268815i 0.210145 0.977670i \(-0.432606\pi\)
0.705354 + 0.708855i \(0.250788\pi\)
\(128\) 0.415415 0.909632i 0.0367178 0.0804009i
\(129\) 0.800219 + 5.56565i 0.0704554 + 0.490028i
\(130\) −6.56278 + 5.68668i −0.575594 + 0.498755i
\(131\) 13.7001 6.25662i 1.19698 0.546644i 0.285658 0.958332i \(-0.407788\pi\)
0.911325 + 0.411688i \(0.135061\pi\)
\(132\) −2.06925 + 1.32982i −0.180105 + 0.115746i
\(133\) 0.921526 + 3.61126i 0.0799065 + 0.313136i
\(134\) −1.64559 + 2.56058i −0.142157 + 0.221201i
\(135\) 1.81465 + 1.57240i 0.156180 + 0.135331i
\(136\) 6.39533 + 1.87784i 0.548395 + 0.161023i
\(137\) 3.81617i 0.326038i −0.986623 0.163019i \(-0.947877\pi\)
0.986623 0.163019i \(-0.0521231\pi\)
\(138\) 4.79448 0.113993i 0.408133 0.00970376i
\(139\) 17.9397i 1.52162i −0.648972 0.760812i \(-0.724801\pi\)
0.648972 0.760812i \(-0.275199\pi\)
\(140\) 6.31642 0.678764i 0.533835 0.0573660i
\(141\) 2.91602 3.36527i 0.245573 0.283407i
\(142\) −13.0477 8.38526i −1.09494 0.703675i
\(143\) −1.26599 + 8.80515i −0.105867 + 0.736323i
\(144\) −0.841254 + 0.540641i −0.0701045 + 0.0450534i
\(145\) −4.95764 10.8557i −0.411709 0.901517i
\(146\) 10.1749 8.81661i 0.842082 0.729668i
\(147\) −4.19551 + 5.60337i −0.346040 + 0.462158i
\(148\) 2.83655 + 1.29541i 0.233163 + 0.106482i
\(149\) 3.48036 + 11.8530i 0.285123 + 0.971038i 0.970147 + 0.242518i \(0.0779733\pi\)
−0.685024 + 0.728520i \(0.740208\pi\)
\(150\) 0.215642 + 0.734408i 0.0176071 + 0.0599642i
\(151\) 2.96277 6.48756i 0.241107 0.527950i −0.749934 0.661513i \(-0.769915\pi\)
0.991040 + 0.133563i \(0.0426419\pi\)
\(152\) −0.200474 1.39433i −0.0162606 0.113095i
\(153\) −4.36486 5.03732i −0.352878 0.407243i
\(154\) 4.43477 4.76280i 0.357364 0.383797i
\(155\) −3.84821 5.98793i −0.309096 0.480962i
\(156\) −0.514689 + 3.57974i −0.0412081 + 0.286609i
\(157\) 3.91836 + 2.51818i 0.312719 + 0.200973i 0.687580 0.726109i \(-0.258673\pi\)
−0.374861 + 0.927081i \(0.622309\pi\)
\(158\) 0.381550 + 0.330615i 0.0303545 + 0.0263023i
\(159\) 8.39641 + 2.46541i 0.665879 + 0.195520i
\(160\) −2.40113 −0.189826
\(161\) −12.2165 + 3.42870i −0.962799 + 0.270219i
\(162\) 1.00000 0.0785674
\(163\) −13.6295 4.00198i −1.06754 0.313459i −0.299658 0.954047i \(-0.596873\pi\)
−0.767885 + 0.640588i \(0.778691\pi\)
\(164\) −6.20564 5.37722i −0.484579 0.419890i
\(165\) 4.96852 + 3.19308i 0.386799 + 0.248581i
\(166\) −0.0423414 + 0.294491i −0.00328633 + 0.0228569i
\(167\) −6.68111 10.3960i −0.517000 0.804468i 0.480361 0.877071i \(-0.340506\pi\)
−0.997361 + 0.0726033i \(0.976869\pi\)
\(168\) 1.80296 1.93632i 0.139101 0.149390i
\(169\) 0.0520260 + 0.0600412i 0.00400200 + 0.00461855i
\(170\) −2.27765 15.8414i −0.174688 1.21498i
\(171\) −0.585182 + 1.28137i −0.0447500 + 0.0979888i
\(172\) 1.58415 + 5.39511i 0.120790 + 0.411373i
\(173\) −6.74082 22.9571i −0.512495 1.74540i −0.655025 0.755607i \(-0.727342\pi\)
0.142531 0.989790i \(-0.454476\pi\)
\(174\) −4.52109 2.06471i −0.342743 0.156525i
\(175\) −1.03326 1.74166i −0.0781068 0.131657i
\(176\) −1.85893 + 1.61077i −0.140122 + 0.121417i
\(177\) 2.28526 + 5.00403i 0.171771 + 0.376126i
\(178\) 3.76178 2.41755i 0.281958 0.181203i
\(179\) −3.08460 + 21.4538i −0.230554 + 1.60354i 0.465167 + 0.885223i \(0.345994\pi\)
−0.695721 + 0.718312i \(0.744915\pi\)
\(180\) 2.01996 + 1.29815i 0.150559 + 0.0967582i
\(181\) −3.96422 + 4.57495i −0.294658 + 0.340054i −0.883704 0.468046i \(-0.844958\pi\)
0.589046 + 0.808100i \(0.299504\pi\)
\(182\) −1.02235 9.51372i −0.0757814 0.705204i
\(183\) 12.7909i 0.945531i
\(184\) 4.72945 0.795158i 0.348660 0.0586198i
\(185\) 7.48754i 0.550495i
\(186\) −2.84431 0.835164i −0.208555 0.0612372i
\(187\) −12.3904 10.7363i −0.906074 0.785117i
\(188\) 2.40741 3.74601i 0.175579 0.273206i
\(189\) −2.56360 + 0.654182i −0.186474 + 0.0475848i
\(190\) −2.84545 + 1.82866i −0.206431 + 0.132665i
\(191\) −12.8357 + 5.86189i −0.928762 + 0.424151i −0.821583 0.570089i \(-0.806909\pi\)
−0.107178 + 0.994240i \(0.534182\pi\)
\(192\) −0.755750 + 0.654861i −0.0545415 + 0.0472605i
\(193\) −2.11111 14.6831i −0.151961 1.05691i −0.912928 0.408121i \(-0.866184\pi\)
0.760967 0.648791i \(-0.224725\pi\)
\(194\) 4.85089 10.6220i 0.348274 0.762613i
\(195\) 8.33205 2.44651i 0.596670 0.175198i
\(196\) −3.35536 + 6.14342i −0.239669 + 0.438815i
\(197\) −11.3539 + 24.8616i −0.808932 + 1.77131i −0.197001 + 0.980403i \(0.563120\pi\)
−0.611931 + 0.790911i \(0.709607\pi\)
\(198\) 2.43468 0.350054i 0.173025 0.0248773i
\(199\) 3.22577 + 3.72274i 0.228669 + 0.263898i 0.858476 0.512853i \(-0.171412\pi\)
−0.629807 + 0.776752i \(0.716866\pi\)
\(200\) 0.317964 + 0.696244i 0.0224835 + 0.0492319i
\(201\) 2.56058 1.64559i 0.180610 0.116071i
\(202\) 2.26081 + 0.325056i 0.159070 + 0.0228708i
\(203\) 12.9410 + 2.33548i 0.908277 + 0.163918i
\(204\) −5.03732 4.36486i −0.352683 0.305601i
\(205\) −5.55471 + 18.9176i −0.387958 + 1.32126i
\(206\) 6.39027 0.445231
\(207\) −4.40856 1.88801i −0.306416 0.131225i
\(208\) 3.61655i 0.250763i
\(209\) −0.976183 + 3.32457i −0.0675240 + 0.229965i
\(210\) −6.02759 2.00651i −0.415943 0.138462i
\(211\) −19.2657 12.3813i −1.32630 0.852364i −0.330494 0.943808i \(-0.607215\pi\)
−0.995810 + 0.0914441i \(0.970852\pi\)
\(212\) 8.66181 + 1.24538i 0.594896 + 0.0855331i
\(213\) 8.38526 + 13.0477i 0.574548 + 0.894015i
\(214\) −10.3938 + 4.74671i −0.710509 + 0.324478i
\(215\) 10.2036 8.84144i 0.695877 0.602981i
\(216\) 0.989821 0.142315i 0.0673488 0.00968330i
\(217\) 7.83802 + 0.280331i 0.532079 + 0.0190301i
\(218\) 1.19399 + 4.06635i 0.0808671 + 0.275408i
\(219\) −12.9180 + 3.79306i −0.872916 + 0.256311i
\(220\) 5.37237 + 2.45348i 0.362205 + 0.165414i
\(221\) −23.8601 + 3.43057i −1.60501 + 0.230765i
\(222\) −2.04208 2.35669i −0.137056 0.158171i
\(223\) 7.09139 3.23853i 0.474875 0.216868i −0.163576 0.986531i \(-0.552303\pi\)
0.638451 + 0.769663i \(0.279576\pi\)
\(224\) 1.50904 2.17320i 0.100827 0.145203i
\(225\) 0.108930 0.757622i 0.00726198 0.0505082i
\(226\) −0.106225 + 0.165290i −0.00706599 + 0.0109949i
\(227\) −6.79740 + 7.84461i −0.451159 + 0.520665i −0.935075 0.354449i \(-0.884668\pi\)
0.483916 + 0.875114i \(0.339214\pi\)
\(228\) −0.396868 + 1.35161i −0.0262832 + 0.0895124i
\(229\) −0.560336 −0.0370280 −0.0185140 0.999829i \(-0.505894\pi\)
−0.0185140 + 0.999829i \(0.505894\pi\)
\(230\) −6.45420 9.53666i −0.425577 0.628828i
\(231\) −6.01255 + 2.49012i −0.395597 + 0.163838i
\(232\) −4.76891 1.40028i −0.313094 0.0919328i
\(233\) 0.955398 1.10259i 0.0625902 0.0722330i −0.723591 0.690229i \(-0.757510\pi\)
0.786181 + 0.617996i \(0.212055\pi\)
\(234\) 1.95526 3.04244i 0.127819 0.198890i
\(235\) −10.5831 1.52162i −0.690367 0.0992597i
\(236\) 2.97415 + 4.62787i 0.193601 + 0.301249i
\(237\) −0.209728 0.459240i −0.0136233 0.0298308i
\(238\) 15.7691 + 7.89443i 1.02216 + 0.511720i
\(239\) −3.99347 27.7752i −0.258316 1.79663i −0.544823 0.838551i \(-0.683403\pi\)
0.286506 0.958078i \(-0.407506\pi\)
\(240\) 2.18414 + 0.997464i 0.140986 + 0.0643860i
\(241\) 17.5219 5.14489i 1.12868 0.331412i 0.336494 0.941686i \(-0.390759\pi\)
0.792191 + 0.610274i \(0.208941\pi\)
\(242\) −4.74929 + 1.39452i −0.305296 + 0.0896430i
\(243\) −0.909632 0.415415i −0.0583529 0.0266489i
\(244\) −1.82034 12.6607i −0.116535 0.810519i
\(245\) 16.7649 + 1.20075i 1.07107 + 0.0767131i
\(246\) 3.41107 + 7.46921i 0.217482 + 0.476219i
\(247\) 2.75431 + 4.28579i 0.175252 + 0.272698i
\(248\) −2.93421 0.421876i −0.186323 0.0267892i
\(249\) 0.160851 0.250289i 0.0101935 0.0158614i
\(250\) −6.65848 + 7.68430i −0.421119 + 0.485998i
\(251\) −24.7585 7.26974i −1.56274 0.458862i −0.617863 0.786286i \(-0.712001\pi\)
−0.944878 + 0.327424i \(0.893820\pi\)
\(252\) −2.44441 + 1.01236i −0.153983 + 0.0637728i
\(253\) −11.3943 3.05345i −0.716357 0.191969i
\(254\) −10.7527 −0.674685
\(255\) −4.50893 + 15.3560i −0.282360 + 0.961630i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) 0.161494 0.251289i 0.0100737 0.0156750i −0.836180 0.548455i \(-0.815216\pi\)
0.846254 + 0.532780i \(0.178853\pi\)
\(258\) 0.800219 5.56565i 0.0498195 0.346502i
\(259\) 6.77679 + 4.70571i 0.421089 + 0.292399i
\(260\) 7.89906 3.60738i 0.489879 0.223720i
\(261\) 3.25481 + 3.75626i 0.201468 + 0.232506i
\(262\) −14.9078 + 2.14342i −0.921009 + 0.132421i
\(263\) −23.6803 10.8144i −1.46019 0.666847i −0.482309 0.876001i \(-0.660202\pi\)
−0.977883 + 0.209154i \(0.932929\pi\)
\(264\) 2.36008 0.692982i 0.145253 0.0426501i
\(265\) −5.91976 20.1608i −0.363648 1.23847i
\(266\) 0.133212 3.72461i 0.00816778 0.228370i
\(267\) −4.42613 + 0.636381i −0.270875 + 0.0389459i
\(268\) 2.30033 1.99325i 0.140515 0.121757i
\(269\) 10.5770 4.83034i 0.644889 0.294511i −0.0659953 0.997820i \(-0.521022\pi\)
0.710884 + 0.703309i \(0.248295\pi\)
\(270\) −1.29815 2.01996i −0.0790027 0.122931i
\(271\) −21.2607 3.05682i −1.29149 0.185689i −0.537888 0.843016i \(-0.680778\pi\)
−0.753605 + 0.657328i \(0.771687\pi\)
\(272\) −5.60723 3.60355i −0.339988 0.218497i
\(273\) −3.02218 + 9.07869i −0.182911 + 0.549467i
\(274\) −1.07514 + 3.66159i −0.0649516 + 0.221205i
\(275\) 1.88270i 0.113531i
\(276\) −4.63238 1.24138i −0.278837 0.0747226i
\(277\) 9.02419 0.542211 0.271106 0.962550i \(-0.412611\pi\)
0.271106 + 0.962550i \(0.412611\pi\)
\(278\) −5.05419 + 17.2130i −0.303130 + 1.03237i
\(279\) 2.24033 + 1.94126i 0.134125 + 0.116220i
\(280\) −6.25179 1.12827i −0.373616 0.0674272i
\(281\) −20.9356 3.01009i −1.24892 0.179567i −0.514038 0.857767i \(-0.671851\pi\)
−0.734877 + 0.678200i \(0.762760\pi\)
\(282\) −3.74601 + 2.40741i −0.223071 + 0.143359i
\(283\) −0.997361 2.18392i −0.0592870 0.129820i 0.877670 0.479266i \(-0.159097\pi\)
−0.936957 + 0.349446i \(0.886370\pi\)
\(284\) 10.1568 + 11.7216i 0.602695 + 0.695547i
\(285\) 3.34797 0.481365i 0.198316 0.0285136i
\(286\) 3.69540 8.09181i 0.218514 0.478479i
\(287\) −13.6309 16.9166i −0.804604 0.998556i
\(288\) 0.959493 0.281733i 0.0565387 0.0166013i
\(289\) 11.3934 24.9481i 0.670200 1.46753i
\(290\) 1.69841 + 11.8127i 0.0997341 + 0.693666i
\(291\) −8.82506 + 7.64696i −0.517334 + 0.448272i
\(292\) −12.2467 + 5.59287i −0.716683 + 0.327298i
\(293\) 13.2389 8.50811i 0.773424 0.497049i −0.0934214 0.995627i \(-0.529780\pi\)
0.866845 + 0.498577i \(0.166144\pi\)
\(294\) 5.60421 4.19438i 0.326844 0.244621i
\(295\) 7.14132 11.1121i 0.415784 0.646972i
\(296\) −2.35669 2.04208i −0.136980 0.118694i
\(297\) −2.36008 0.692982i −0.136946 0.0402109i
\(298\) 12.3534i 0.715615i
\(299\) −14.3640 + 9.72124i −0.830692 + 0.562194i
\(300\) 0.765413i 0.0441911i
\(301\) 1.58951 + 14.7916i 0.0916176 + 0.852572i
\(302\) −4.67051 + 5.39006i −0.268758 + 0.310163i
\(303\) −1.92147 1.23486i −0.110386 0.0709407i
\(304\) −0.200474 + 1.39433i −0.0114980 + 0.0799703i
\(305\) −25.8371 + 16.6045i −1.47943 + 0.950770i
\(306\) 2.76888 + 6.06299i 0.158286 + 0.346598i
\(307\) −6.78321 + 5.87768i −0.387138 + 0.335457i −0.826585 0.562811i \(-0.809720\pi\)
0.439447 + 0.898268i \(0.355174\pi\)
\(308\) −5.59697 + 3.32045i −0.318917 + 0.189200i
\(309\) −5.81279 2.65461i −0.330678 0.151016i
\(310\) 2.00534 + 6.82955i 0.113895 + 0.387892i
\(311\) 3.10003 + 10.5577i 0.175786 + 0.598673i 0.999499 + 0.0316651i \(0.0100810\pi\)
−0.823712 + 0.567008i \(0.808101\pi\)
\(312\) 1.50237 3.28973i 0.0850549 0.186244i
\(313\) −0.772281 5.37133i −0.0436519 0.303606i −0.999938 0.0111716i \(-0.996444\pi\)
0.956286 0.292434i \(-0.0944652\pi\)
\(314\) −3.05019 3.52011i −0.172132 0.198651i
\(315\) 4.64935 + 4.32914i 0.261961 + 0.243919i
\(316\) −0.272950 0.424718i −0.0153546 0.0238923i
\(317\) 0.740816 5.15249i 0.0416084 0.289393i −0.958384 0.285482i \(-0.907846\pi\)
0.999992 0.00391028i \(-0.00124468\pi\)
\(318\) −7.36171 4.73108i −0.412824 0.265306i
\(319\) 9.23932 + 8.00592i 0.517303 + 0.448245i
\(320\) 2.30386 + 0.676476i 0.128790 + 0.0378161i
\(321\) 11.4264 0.637761
\(322\) 12.6877 + 0.151990i 0.707056 + 0.00847006i
\(323\) −9.38923 −0.522431
\(324\) −0.959493 0.281733i −0.0533052 0.0156518i
\(325\) −2.09203 1.81276i −0.116045 0.100554i
\(326\) 11.9499 + 7.67974i 0.661844 + 0.425341i
\(327\) 0.603134 4.19489i 0.0333534 0.231978i
\(328\) 4.43933 + 6.90774i 0.245121 + 0.381416i
\(329\) 8.02838 8.62221i 0.442619 0.475358i
\(330\) −3.86767 4.46353i −0.212908 0.245709i
\(331\) −4.64984 32.3404i −0.255579 1.77759i −0.563440 0.826157i \(-0.690522\pi\)
0.307861 0.951431i \(-0.400387\pi\)
\(332\) 0.123594 0.270633i 0.00678310 0.0148529i
\(333\) 0.878539 + 2.99203i 0.0481437 + 0.163962i
\(334\) 3.48158 + 11.8572i 0.190504 + 0.648796i
\(335\) −6.64803 3.03605i −0.363221 0.165877i
\(336\) −2.27545 + 1.34993i −0.124136 + 0.0736449i
\(337\) −16.9206 + 14.6618i −0.921724 + 0.798678i −0.979871 0.199630i \(-0.936026\pi\)
0.0581474 + 0.998308i \(0.481481\pi\)
\(338\) −0.0330030 0.0722665i −0.00179513 0.00393078i
\(339\) 0.165290 0.106225i 0.00897730 0.00576936i
\(340\) −2.27765 + 15.8414i −0.123523 + 0.859120i
\(341\) 6.13404 + 3.94211i 0.332177 + 0.213477i
\(342\) 0.922482 1.06460i 0.0498821 0.0575670i
\(343\) −11.6231 + 14.4189i −0.627587 + 0.778547i
\(344\) 5.62288i 0.303165i
\(345\) 1.90928 + 11.3560i 0.102792 + 0.611388i
\(346\) 23.9263i 1.28629i
\(347\) 22.1621 + 6.50738i 1.18972 + 0.349334i 0.815915 0.578171i \(-0.196233\pi\)
0.373809 + 0.927506i \(0.378052\pi\)
\(348\) 3.75626 + 3.25481i 0.201356 + 0.174476i
\(349\) −10.6148 + 16.5170i −0.568200 + 0.884136i −0.999840 0.0179101i \(-0.994299\pi\)
0.431640 + 0.902046i \(0.357935\pi\)
\(350\) 0.500720 + 1.96221i 0.0267646 + 0.104885i
\(351\) −3.04244 + 1.95526i −0.162393 + 0.104364i
\(352\) 2.23744 1.02180i 0.119256 0.0544623i
\(353\) 1.20343 1.04278i 0.0640522 0.0555015i −0.622246 0.782821i \(-0.713780\pi\)
0.686299 + 0.727320i \(0.259234\pi\)
\(354\) −0.782897 5.44517i −0.0416105 0.289407i
\(355\) 15.4705 33.8757i 0.821090 1.79794i
\(356\) −4.29051 + 1.25981i −0.227397 + 0.0667696i
\(357\) −11.0646 13.7317i −0.585600 0.726761i
\(358\) 9.00389 19.7158i 0.475871 1.04201i
\(359\) 4.29578 0.617639i 0.226722 0.0325978i −0.0280172 0.999607i \(-0.508919\pi\)
0.254740 + 0.967010i \(0.418010\pi\)
\(360\) −1.57240 1.81465i −0.0828730 0.0956405i
\(361\) −7.06856 15.4780i −0.372029 0.814631i
\(362\) 5.09256 3.27279i 0.267659 0.172014i
\(363\) 4.89941 + 0.704429i 0.257152 + 0.0369729i
\(364\) −1.69939 + 9.41638i −0.0890723 + 0.493552i
\(365\) 24.4313 + 21.1698i 1.27879 + 1.10808i
\(366\) −3.60361 + 12.2728i −0.188364 + 0.641509i
\(367\) 3.15505 0.164692 0.0823462 0.996604i \(-0.473759\pi\)
0.0823462 + 0.996604i \(0.473759\pi\)
\(368\) −4.76190 0.569492i −0.248231 0.0296868i
\(369\) 8.21124i 0.427460i
\(370\) −2.10949 + 7.18425i −0.109667 + 0.373491i
\(371\) 21.9675 + 7.31270i 1.14049 + 0.379657i
\(372\) 2.49380 + 1.60267i 0.129298 + 0.0830945i
\(373\) 22.1710 + 3.18771i 1.14797 + 0.165054i 0.689930 0.723876i \(-0.257641\pi\)
0.458043 + 0.888930i \(0.348550\pi\)
\(374\) 8.86370 + 13.7922i 0.458331 + 0.713177i
\(375\) 9.24894 4.22385i 0.477613 0.218119i
\(376\) −3.36527 + 2.91602i −0.173550 + 0.150382i
\(377\) 17.7922 2.55813i 0.916343 0.131750i
\(378\) 2.64406 + 0.0945662i 0.135996 + 0.00486396i
\(379\) −0.880012 2.99705i −0.0452032 0.153948i 0.933799 0.357798i \(-0.116473\pi\)
−0.979002 + 0.203851i \(0.934654\pi\)
\(380\) 3.24538 0.952930i 0.166485 0.0488843i
\(381\) 9.78101 + 4.46684i 0.501096 + 0.228843i
\(382\) 13.9673 2.00819i 0.714629 0.102748i
\(383\) 10.6892 + 12.3359i 0.546191 + 0.630338i 0.959991 0.280030i \(-0.0903444\pi\)
−0.413801 + 0.910368i \(0.635799\pi\)
\(384\) 0.909632 0.415415i 0.0464195 0.0211991i
\(385\) 12.8351 + 8.91254i 0.654138 + 0.454225i
\(386\) −2.11111 + 14.6831i −0.107453 + 0.747349i
\(387\) −3.03996 + 4.73027i −0.154530 + 0.240453i
\(388\) −7.64696 + 8.82506i −0.388215 + 0.448024i
\(389\) −6.19999 + 21.1152i −0.314352 + 1.07058i 0.639121 + 0.769106i \(0.279298\pi\)
−0.953473 + 0.301478i \(0.902520\pi\)
\(390\) −8.68380 −0.439721
\(391\) −0.759803 31.9567i −0.0384249 1.61612i
\(392\) 4.95025 4.94925i 0.250025 0.249975i
\(393\) 14.4511 + 4.24321i 0.728959 + 0.214042i
\(394\) 17.8983 20.6557i 0.901704 1.04062i
\(395\) −0.655387 + 1.01980i −0.0329761 + 0.0513118i
\(396\) −2.43468 0.350054i −0.122347 0.0175909i
\(397\) −1.13341 1.76362i −0.0568843 0.0885137i 0.811646 0.584149i \(-0.198572\pi\)
−0.868531 + 0.495635i \(0.834935\pi\)
\(398\) −2.04629 4.48075i −0.102571 0.224600i
\(399\) −1.66843 + 3.33268i −0.0835260 + 0.166843i
\(400\) −0.108930 0.757622i −0.00544648 0.0378811i
\(401\) 3.74378 + 1.70973i 0.186956 + 0.0853798i 0.506694 0.862126i \(-0.330868\pi\)
−0.319738 + 0.947506i \(0.603595\pi\)
\(402\) −2.92048 + 0.857529i −0.145660 + 0.0427697i
\(403\) 10.2866 3.02041i 0.512411 0.150458i
\(404\) −2.07766 0.948833i −0.103367 0.0472062i
\(405\) 0.341716 + 2.37669i 0.0169800 + 0.118099i
\(406\) −11.7588 5.88676i −0.583578 0.292155i
\(407\) 3.18634 + 6.97710i 0.157941 + 0.345842i
\(408\) 3.60355 + 5.60723i 0.178402 + 0.277599i
\(409\) −6.44905 0.927233i −0.318885 0.0458487i −0.0189861 0.999820i \(-0.506044\pi\)
−0.299899 + 0.953971i \(0.596953\pi\)
\(410\) 10.6594 16.5864i 0.526431 0.819142i
\(411\) 2.49906 2.88407i 0.123270 0.142261i
\(412\) −6.13142 1.80035i −0.302073 0.0886967i
\(413\) 5.56917 + 13.4471i 0.274041 + 0.661687i
\(414\) 3.69807 + 3.05356i 0.181750 + 0.150074i
\(415\) −0.714381 −0.0350676
\(416\) 1.01890 3.47006i 0.0499557 0.170133i
\(417\) 11.7480 13.5579i 0.575302 0.663934i
\(418\) 1.87328 2.91488i 0.0916251 0.142572i
\(419\) 3.13665 21.8159i 0.153236 1.06578i −0.757514 0.652818i \(-0.773586\pi\)
0.910750 0.412958i \(-0.135504\pi\)
\(420\) 5.21813 + 3.62340i 0.254619 + 0.176804i
\(421\) −0.222993 + 0.101837i −0.0108680 + 0.00496325i −0.420842 0.907134i \(-0.638265\pi\)
0.409974 + 0.912097i \(0.365538\pi\)
\(422\) 14.9971 + 17.3075i 0.730046 + 0.842518i
\(423\) 4.40756 0.633712i 0.214303 0.0308121i
\(424\) −7.96008 3.63525i −0.386576 0.176543i
\(425\) 4.89507 1.43732i 0.237446 0.0697204i
\(426\) −4.36963 14.8816i −0.211709 0.721015i
\(427\) 1.20959 33.8199i 0.0585360 1.63666i
\(428\) 11.3101 1.62615i 0.546695 0.0786029i
\(429\) −6.72292 + 5.82544i −0.324585 + 0.281255i
\(430\) −12.2812 + 5.60862i −0.592250 + 0.270472i
\(431\) −11.5985 18.0476i −0.558678 0.869321i 0.440923 0.897545i \(-0.354651\pi\)
−0.999602 + 0.0282243i \(0.991015\pi\)
\(432\) −0.989821 0.142315i −0.0476228 0.00684713i
\(433\) −6.16783 3.96382i −0.296407 0.190489i 0.383982 0.923341i \(-0.374553\pi\)
−0.680389 + 0.732852i \(0.738189\pi\)
\(434\) −7.44154 2.47720i −0.357206 0.118909i
\(435\) 3.36225 11.4508i 0.161207 0.549022i
\(436\) 4.23802i 0.202965i
\(437\) −6.07679 + 2.95171i −0.290692 + 0.141199i
\(438\) 13.4633 0.643303
\(439\) 8.17284 27.8341i 0.390068 1.32845i −0.497376 0.867535i \(-0.665703\pi\)
0.887444 0.460915i \(-0.152479\pi\)
\(440\) −4.46353 3.86767i −0.212790 0.184384i
\(441\) −6.84018 + 1.48727i −0.325723 + 0.0708223i
\(442\) 23.8601 + 3.43057i 1.13491 + 0.163175i
\(443\) 20.7664 13.3458i 0.986641 0.634076i 0.0553945 0.998465i \(-0.482358\pi\)
0.931247 + 0.364389i \(0.118722\pi\)
\(444\) 1.29541 + 2.83655i 0.0614773 + 0.134617i
\(445\) 7.03123 + 8.11447i 0.333312 + 0.384663i
\(446\) −7.71654 + 1.10947i −0.365389 + 0.0525350i
\(447\) −5.13180 + 11.2371i −0.242726 + 0.531495i
\(448\) −2.06018 + 1.66002i −0.0973341 + 0.0784287i
\(449\) 22.3002 6.54792i 1.05241 0.309016i 0.290619 0.956839i \(-0.406139\pi\)
0.761791 + 0.647823i \(0.224320\pi\)
\(450\) −0.317964 + 0.696244i −0.0149890 + 0.0328213i
\(451\) −2.87438 19.9918i −0.135349 0.941375i
\(452\) 0.148490 0.128667i 0.00698437 0.00605199i
\(453\) 6.48756 2.96277i 0.304812 0.139203i
\(454\) 8.73214 5.61180i 0.409820 0.263375i
\(455\) 22.2618 5.68079i 1.04365 0.266320i
\(456\) 0.761584 1.18505i 0.0356644 0.0554949i
\(457\) 13.1550 + 11.3989i 0.615364 + 0.533216i 0.905815 0.423674i \(-0.139260\pi\)
−0.290451 + 0.956890i \(0.593805\pi\)
\(458\) 0.537638 + 0.157865i 0.0251222 + 0.00737654i
\(459\) 6.66532i 0.311111i
\(460\) 3.50597 + 10.9687i 0.163467 + 0.511419i
\(461\) 32.4450i 1.51111i 0.655084 + 0.755556i \(0.272633\pi\)
−0.655084 + 0.755556i \(0.727367\pi\)
\(462\) 6.47055 0.695326i 0.301037 0.0323495i
\(463\) −16.4059 + 18.9334i −0.762446 + 0.879910i −0.995712 0.0925030i \(-0.970513\pi\)
0.233266 + 0.972413i \(0.425059\pi\)
\(464\) 4.18123 + 2.68711i 0.194109 + 0.124746i
\(465\) 1.01298 7.04542i 0.0469757 0.326724i
\(466\) −1.22733 + 0.788759i −0.0568551 + 0.0365386i
\(467\) 14.5759 + 31.9168i 0.674493 + 1.47693i 0.868375 + 0.495909i \(0.165165\pi\)
−0.193881 + 0.981025i \(0.562108\pi\)
\(468\) −2.73321 + 2.36834i −0.126343 + 0.109476i
\(469\) 6.92595 4.10889i 0.319811 0.189731i
\(470\) 9.72574 + 4.44160i 0.448615 + 0.204876i
\(471\) 1.31224 + 4.46909i 0.0604650 + 0.205925i
\(472\) −1.54986 5.27832i −0.0713379 0.242955i
\(473\) −5.74548 + 12.5808i −0.264177 + 0.578467i
\(474\) 0.0718495 + 0.499725i 0.00330016 + 0.0229531i
\(475\) −0.706080 0.814859i −0.0323972 0.0373883i
\(476\) −12.9062 12.0173i −0.591555 0.550813i
\(477\) 4.73108 + 7.36171i 0.216621 + 0.337070i
\(478\) −3.99347 + 27.7752i −0.182657 + 1.27041i
\(479\) −1.47546 0.948219i −0.0674154 0.0433252i 0.506499 0.862241i \(-0.330939\pi\)
−0.573914 + 0.818915i \(0.694576\pi\)
\(480\) −1.81465 1.57240i −0.0828271 0.0717701i
\(481\) 10.8208 + 3.17728i 0.493387 + 0.144872i
\(482\) −18.2616 −0.831794
\(483\) −11.4780 5.40890i −0.522266 0.246114i
\(484\) 4.94979 0.224991
\(485\) 26.9027 + 7.89936i 1.22159 + 0.358691i
\(486\) 0.755750 + 0.654861i 0.0342815 + 0.0297051i
\(487\) 35.9674 + 23.1148i 1.62984 + 1.04743i 0.949134 + 0.314873i \(0.101962\pi\)
0.680703 + 0.732560i \(0.261675\pi\)
\(488\) −1.82034 + 12.6607i −0.0824027 + 0.573123i
\(489\) −7.67974 11.9499i −0.347290 0.540393i
\(490\) −15.7476 5.87534i −0.711402 0.265421i
\(491\) 2.57962 + 2.97704i 0.116417 + 0.134352i 0.810966 0.585093i \(-0.198942\pi\)
−0.694550 + 0.719445i \(0.744396\pi\)
\(492\) −1.16858 8.12767i −0.0526837 0.366423i
\(493\) −13.7620 + 30.1345i −0.619808 + 1.35719i
\(494\) −1.43529 4.88816i −0.0645769 0.219929i
\(495\) 1.66394 + 5.66686i 0.0747885 + 0.254706i
\(496\) 2.69650 + 1.23145i 0.121076 + 0.0552938i
\(497\) 20.9373 + 35.2919i 0.939164 + 1.58306i
\(498\) −0.224850 + 0.194834i −0.0100758 + 0.00873070i
\(499\) −4.83554 10.5884i −0.216469 0.474000i 0.769981 0.638067i \(-0.220266\pi\)
−0.986449 + 0.164067i \(0.947539\pi\)
\(500\) 8.55368 5.49712i 0.382532 0.245839i
\(501\) 1.75869 12.2320i 0.0785726 0.546485i
\(502\) 21.7075 + 13.9505i 0.968851 + 0.622643i
\(503\) −3.36926 + 3.88834i −0.150228 + 0.173372i −0.825876 0.563852i \(-0.809319\pi\)
0.675648 + 0.737225i \(0.263864\pi\)
\(504\) 2.63061 0.282685i 0.117177 0.0125918i
\(505\) 5.48432i 0.244049i
\(506\) 10.0725 + 6.13993i 0.447779 + 0.272953i
\(507\) 0.0794458i 0.00352831i
\(508\) 10.3171 + 3.02939i 0.457749 + 0.134407i
\(509\) −16.1130 13.9620i −0.714196 0.618855i 0.220048 0.975489i \(-0.429379\pi\)
−0.934244 + 0.356634i \(0.883924\pi\)
\(510\) 8.65257 13.4637i 0.383142 0.596181i
\(511\) −34.5146 + 8.80748i −1.52684 + 0.389620i
\(512\) 0.841254 0.540641i 0.0371785 0.0238932i
\(513\) −1.28137 + 0.585182i −0.0565739 + 0.0258364i
\(514\) −0.225748 + 0.195612i −0.00995733 + 0.00862807i
\(515\) 2.18366 + 15.1877i 0.0962234 + 0.669248i
\(516\) −2.33583 + 5.11475i −0.102829 + 0.225164i
\(517\) 10.5092 3.08577i 0.462193 0.135712i
\(518\) −5.17653 6.42434i −0.227443 0.282269i
\(519\) 9.93934 21.7641i 0.436289 0.955339i
\(520\) −8.59541 + 1.23583i −0.376934 + 0.0541949i
\(521\) −2.48517 2.86804i −0.108877 0.125651i 0.698695 0.715420i \(-0.253764\pi\)
−0.807572 + 0.589768i \(0.799219\pi\)
\(522\) −2.06471 4.52109i −0.0903700 0.197883i
\(523\) −8.77507 + 5.63939i −0.383707 + 0.246594i −0.718247 0.695788i \(-0.755055\pi\)
0.334540 + 0.942381i \(0.391419\pi\)
\(524\) 14.9078 + 2.14342i 0.651252 + 0.0936359i
\(525\) 0.359662 1.99290i 0.0156969 0.0869772i
\(526\) 19.6743 + 17.0479i 0.857842 + 0.743324i
\(527\) −5.56664 + 18.9582i −0.242487 + 0.825833i
\(528\) −2.45972 −0.107045
\(529\) −10.5380 20.4438i −0.458176 0.888862i
\(530\) 21.0120i 0.912702i
\(531\) −1.54986 + 5.27832i −0.0672580 + 0.229060i
\(532\) −1.17716 + 3.53620i −0.0510363 + 0.153314i
\(533\) −24.9822 16.0551i −1.08210 0.695423i
\(534\) 4.42613 + 0.636381i 0.191537 + 0.0275389i
\(535\) −14.8332 23.0809i −0.641295 0.997874i
\(536\) −2.76871 + 1.26443i −0.119590 + 0.0546150i
\(537\) −16.3805 + 14.1937i −0.706869 + 0.612505i
\(538\) −11.5094 + 1.65480i −0.496205 + 0.0713435i
\(539\) −16.1330 + 6.01546i −0.694898 + 0.259104i
\(540\) 0.676476 + 2.30386i 0.0291109 + 0.0991426i
\(541\) −24.4289 + 7.17298i −1.05028 + 0.308391i −0.760931 0.648833i \(-0.775257\pi\)
−0.289351 + 0.957223i \(0.593439\pi\)
\(542\) 19.5382 + 8.92282i 0.839240 + 0.383268i
\(543\) −5.99192 + 0.861507i −0.257138 + 0.0369708i
\(544\) 4.36486 + 5.03732i 0.187142 + 0.215973i
\(545\) −9.25645 + 4.22728i −0.396503 + 0.181077i
\(546\) 5.45753 7.85949i 0.233561 0.336355i
\(547\) −3.77858 + 26.2806i −0.161560 + 1.12368i 0.734133 + 0.679005i \(0.237589\pi\)
−0.895694 + 0.444671i \(0.853320\pi\)
\(548\) 2.06318 3.21037i 0.0881347 0.137140i
\(549\) 8.37626 9.66672i 0.357490 0.412566i
\(550\) −0.530418 + 1.80644i −0.0226171 + 0.0770267i
\(551\) 7.00142 0.298270
\(552\) 4.09500 + 2.49619i 0.174295 + 0.106245i
\(553\) −0.511105 1.23409i −0.0217344 0.0524789i
\(554\) −8.65865 2.54241i −0.367871 0.108017i
\(555\) 4.90330 5.65871i 0.208133 0.240199i
\(556\) 9.69893 15.0918i 0.411326 0.640036i
\(557\) −22.9139 3.29453i −0.970895 0.139594i −0.361423 0.932402i \(-0.617709\pi\)
−0.609471 + 0.792808i \(0.708618\pi\)
\(558\) −1.60267 2.49380i −0.0678464 0.105571i
\(559\) 8.44764 + 18.4978i 0.357297 + 0.782372i
\(560\) 5.68068 + 2.84390i 0.240052 + 0.120177i
\(561\) −2.33322 16.2279i −0.0985088 0.685144i
\(562\) 19.2396 + 8.78641i 0.811571 + 0.370632i
\(563\) 4.06533 1.19369i 0.171333 0.0503080i −0.194941 0.980815i \(-0.562451\pi\)
0.366274 + 0.930507i \(0.380633\pi\)
\(564\) 4.27251 1.25452i 0.179905 0.0528250i
\(565\) −0.429141 0.195982i −0.0180541 0.00824502i
\(566\) 0.341681 + 2.37644i 0.0143619 + 0.0998893i
\(567\) −2.36584 1.18440i −0.0993559 0.0497402i
\(568\) −6.44302 14.1083i −0.270343 0.591969i
\(569\) −6.11422 9.51392i −0.256322 0.398844i 0.689114 0.724653i \(-0.258000\pi\)
−0.945436 + 0.325809i \(0.894363\pi\)
\(570\) −3.34797 0.481365i −0.140231 0.0201622i
\(571\) 12.0242 18.7101i 0.503199 0.782993i −0.493006 0.870026i \(-0.664102\pi\)
0.996205 + 0.0870327i \(0.0277385\pi\)
\(572\) −5.82544 + 6.72292i −0.243574 + 0.281099i
\(573\) −13.5393 3.97550i −0.565613 0.166079i
\(574\) 8.31275 + 20.0716i 0.346968 + 0.837773i
\(575\) 2.71628 2.46912i 0.113277 0.102969i
\(576\) −1.00000 −0.0416667
\(577\) −7.52646 + 25.6328i −0.313330 + 1.06711i 0.640798 + 0.767709i \(0.278603\pi\)
−0.954129 + 0.299396i \(0.903215\pi\)
\(578\) −17.9606 + 20.7276i −0.747061 + 0.862154i
\(579\) 8.01991 12.4792i 0.333296 0.518619i
\(580\) 1.69841 11.8127i 0.0705226 0.490496i
\(581\) 0.448969 0.646568i 0.0186264 0.0268242i
\(582\) 10.6220 4.85089i 0.440295 0.201076i
\(583\) 14.0957 + 16.2673i 0.583783 + 0.673722i
\(584\) 13.3263 1.91603i 0.551446 0.0792860i
\(585\) 7.89906 + 3.60738i 0.326586 + 0.149147i
\(586\) −15.0996 + 4.43365i −0.623760 + 0.183152i
\(587\) 4.97897 + 16.9568i 0.205504 + 0.699882i 0.996154 + 0.0876144i \(0.0279243\pi\)
−0.790651 + 0.612268i \(0.790257\pi\)
\(588\) −6.55889 + 2.44559i −0.270484 + 0.100854i
\(589\) 4.13333 0.594284i 0.170311 0.0244870i
\(590\) −9.98269 + 8.65005i −0.410981 + 0.356117i
\(591\) −24.8616 + 11.3539i −1.02267 + 0.467037i
\(592\) 1.68590 + 2.62332i 0.0692903 + 0.107818i
\(593\) 10.4697 + 1.50532i 0.429941 + 0.0618161i 0.353888 0.935288i \(-0.384859\pi\)
0.0760524 + 0.997104i \(0.475768\pi\)
\(594\) 2.06925 + 1.32982i 0.0849022 + 0.0545633i
\(595\) −13.3740 + 40.1758i −0.548282 + 1.64705i
\(596\) −3.48036 + 11.8530i −0.142561 + 0.485519i
\(597\) 4.92589i 0.201603i
\(598\) 16.5210 5.28066i 0.675592 0.215942i
\(599\) 8.53087 0.348562 0.174281 0.984696i \(-0.444240\pi\)
0.174281 + 0.984696i \(0.444240\pi\)
\(600\) −0.215642 + 0.734408i −0.00880354 + 0.0299821i
\(601\) −28.9879 25.1181i −1.18244 1.02459i −0.999137 0.0415336i \(-0.986776\pi\)
−0.183303 0.983056i \(-0.558679\pi\)
\(602\) 2.64215 14.6402i 0.107686 0.596691i
\(603\) 3.01279 + 0.433174i 0.122690 + 0.0176402i
\(604\) 5.99988 3.85589i 0.244132 0.156894i
\(605\) −4.93724 10.8111i −0.200727 0.439532i
\(606\) 1.49574 + 1.72618i 0.0607604 + 0.0701212i
\(607\) 45.4487 6.53454i 1.84471 0.265229i 0.870710 0.491796i \(-0.163660\pi\)
0.973995 + 0.226568i \(0.0727505\pi\)
\(608\) 0.585182 1.28137i 0.0237323 0.0519664i
\(609\) 8.25071 + 10.2396i 0.334336 + 0.414928i
\(610\) 29.4685 8.65274i 1.19315 0.350339i
\(611\) 6.68988 14.6488i 0.270644 0.592627i
\(612\) −0.948574 6.59748i −0.0383438 0.266687i
\(613\) 3.45400 2.99291i 0.139506 0.120882i −0.582313 0.812965i \(-0.697852\pi\)
0.721818 + 0.692082i \(0.243307\pi\)
\(614\) 8.16437 3.72854i 0.329487 0.150472i
\(615\) −16.5864 + 10.6594i −0.668827 + 0.429829i
\(616\) 6.30573 1.60910i 0.254065 0.0648326i
\(617\) 20.9525 32.6028i 0.843517 1.31254i −0.104567 0.994518i \(-0.533346\pi\)
0.948084 0.318020i \(-0.103018\pi\)
\(618\) 4.82944 + 4.18473i 0.194269 + 0.168335i
\(619\) −13.8717 4.07309i −0.557549 0.163711i −0.00919539 0.999958i \(-0.502927\pi\)
−0.548354 + 0.836247i \(0.684745\pi\)
\(620\) 7.11787i 0.285861i
\(621\) −2.09539 4.31385i −0.0840851 0.173109i
\(622\) 11.0034i 0.441197i
\(623\) −11.7631 + 1.26407i −0.471280 + 0.0506438i
\(624\) −2.36834 + 2.73321i −0.0948094 + 0.109416i
\(625\) −23.7580 15.2683i −0.950321 0.610734i
\(626\) −0.772281 + 5.37133i −0.0308666 + 0.214682i
\(627\) −2.91488 + 1.87328i −0.116409 + 0.0748116i
\(628\) 1.93491 + 4.23685i 0.0772112 + 0.169069i
\(629\) −15.7081 + 13.6111i −0.626322 + 0.542712i
\(630\) −3.24136 5.46365i −0.129139 0.217677i
\(631\) −37.4023 17.0810i −1.48896 0.679986i −0.505787 0.862658i \(-0.668798\pi\)
−0.983174 + 0.182673i \(0.941525\pi\)
\(632\) 0.142236 + 0.484413i 0.00565786 + 0.0192689i
\(633\) −6.45200 21.9735i −0.256444 0.873368i
\(634\) −2.16243 + 4.73506i −0.0858811 + 0.188053i
\(635\) −3.67437 25.5558i −0.145813 1.01415i
\(636\) 5.73061 + 6.61347i 0.227233 + 0.262241i
\(637\) −8.84938 + 23.7188i −0.350625 + 0.939773i
\(638\) −6.60954 10.2846i −0.261674 0.407173i
\(639\) −2.20728 + 15.3520i −0.0873187 + 0.607315i
\(640\) −2.01996 1.29815i −0.0798458 0.0513138i
\(641\) 24.4216 + 21.1615i 0.964596 + 0.835827i 0.986471 0.163933i \(-0.0524182\pi\)
−0.0218753 + 0.999761i \(0.506964\pi\)
\(642\) −10.9636 3.21920i −0.432698 0.127052i
\(643\) 40.2738 1.58825 0.794123 0.607758i \(-0.207931\pi\)
0.794123 + 0.607758i \(0.207931\pi\)
\(644\) −12.1309 3.72036i −0.478025 0.146603i
\(645\) 13.5012 0.531611
\(646\) 9.00890 + 2.64525i 0.354451 + 0.104076i
\(647\) 23.5367 + 20.3946i 0.925322 + 0.801796i 0.980467 0.196682i \(-0.0630168\pi\)
−0.0551454 + 0.998478i \(0.517562\pi\)
\(648\) 0.841254 + 0.540641i 0.0330476 + 0.0212384i
\(649\) −1.92570 + 13.3936i −0.0755905 + 0.525743i
\(650\) 1.49658 + 2.32872i 0.0587006 + 0.0913399i
\(651\) 5.74000 + 5.34467i 0.224968 + 0.209474i
\(652\) −9.30221 10.7353i −0.364303 0.420428i
\(653\) −2.80403 19.5025i −0.109730 0.763190i −0.968173 0.250281i \(-0.919477\pi\)
0.858443 0.512909i \(-0.171432\pi\)
\(654\) −1.76054 + 3.85504i −0.0688425 + 0.150744i
\(655\) −10.1885 34.6988i −0.398097 1.35580i
\(656\) −2.31337 7.87863i −0.0903221 0.307609i
\(657\) −12.2467 5.59287i −0.477789 0.218199i
\(658\) −10.1323 + 6.01110i −0.394999 + 0.234337i
\(659\) −30.6043 + 26.5188i −1.19217 + 1.03303i −0.193524 + 0.981096i \(0.561992\pi\)
−0.998651 + 0.0519294i \(0.983463\pi\)
\(660\) 2.45348 + 5.37237i 0.0955016 + 0.209119i
\(661\) −14.9433 + 9.60346i −0.581226 + 0.373531i −0.797970 0.602697i \(-0.794093\pi\)
0.216744 + 0.976229i \(0.430456\pi\)
\(662\) −4.64984 + 32.3404i −0.180721 + 1.25694i
\(663\) −20.2788 13.0324i −0.787564 0.506137i
\(664\) −0.194834 + 0.224850i −0.00756101 + 0.00872587i
\(665\) 8.89774 0.956153i 0.345040 0.0370780i
\(666\) 3.11835i 0.120833i
\(667\) 0.566574 + 23.8297i 0.0219378 + 0.922689i
\(668\) 12.3578i 0.478136i
\(669\) 7.48011 + 2.19636i 0.289198 + 0.0849161i
\(670\) 5.52338 + 4.78604i 0.213387 + 0.184901i
\(671\) 17.0096 26.4675i 0.656650 1.02177i
\(672\) 2.56360 0.654182i 0.0988930 0.0252356i
\(673\) 10.9866 7.06065i 0.423501 0.272168i −0.311483 0.950252i \(-0.600826\pi\)
0.734985 + 0.678084i \(0.237189\pi\)
\(674\) 20.3659 9.30080i 0.784465 0.358253i
\(675\) 0.578461 0.501239i 0.0222650 0.0192927i
\(676\) 0.0113063 + 0.0786372i 0.000434859 + 0.00302451i
\(677\) −14.3865 + 31.5020i −0.552917 + 1.21072i 0.402489 + 0.915425i \(0.368145\pi\)
−0.955406 + 0.295295i \(0.904582\pi\)
\(678\) −0.188521 + 0.0553548i −0.00724012 + 0.00212589i
\(679\) −24.0571 + 19.3845i −0.923228 + 0.743907i
\(680\) 6.64842 14.5580i 0.254955 0.558274i
\(681\) −10.2743 + 1.47722i −0.393710 + 0.0566070i
\(682\) −4.77495 5.51059i −0.182842 0.211011i
\(683\) 7.59330 + 16.6270i 0.290550 + 0.636215i 0.997471 0.0710774i \(-0.0226437\pi\)
−0.706921 + 0.707292i \(0.749916\pi\)
\(684\) −1.18505 + 0.761584i −0.0453114 + 0.0291199i
\(685\) −9.06985 1.30405i −0.346541 0.0498251i
\(686\) 15.2145 10.5602i 0.580893 0.403191i
\(687\) −0.423473 0.366942i −0.0161565 0.0139997i
\(688\) −1.58415 + 5.39511i −0.0603951 + 0.205687i
\(689\) 31.6480 1.20569
\(690\) 1.36742 11.4339i 0.0520569 0.435282i
\(691\) 4.11954i 0.156715i 0.996925 + 0.0783574i \(0.0249675\pi\)
−0.996925 + 0.0783574i \(0.975032\pi\)
\(692\) 6.74082 22.9571i 0.256247 0.872699i
\(693\) −6.17466 2.05547i −0.234556 0.0780809i
\(694\) −19.4310 12.4876i −0.737592 0.474022i
\(695\) −42.6370 6.13028i −1.61731 0.232535i
\(696\) −2.68711 4.18123i −0.101855 0.158489i
\(697\) 49.7847 22.7359i 1.88573 0.861184i
\(698\) 14.8383 12.8574i 0.561636 0.486660i
\(699\) 1.44408 0.207628i 0.0546203 0.00785321i
\(700\) 0.0723822 2.02380i 0.00273579 0.0764924i
\(701\) 2.86883 + 9.77032i 0.108354 + 0.369020i 0.995762 0.0919644i \(-0.0293146\pi\)
−0.887408 + 0.460984i \(0.847496\pi\)
\(702\) 3.47006 1.01890i 0.130969 0.0384559i
\(703\) 3.99575 + 1.82480i 0.150703 + 0.0688236i
\(704\) −2.43468 + 0.350054i −0.0917605 + 0.0131932i
\(705\) −7.00174 8.08044i −0.263701 0.304327i
\(706\) −1.44847 + 0.661493i −0.0545138 + 0.0248956i
\(707\) −4.96372 3.44674i −0.186680 0.129628i
\(708\) −0.782897 + 5.44517i −0.0294231 + 0.204642i
\(709\) −17.9631 + 27.9511i −0.674618 + 1.04973i 0.320130 + 0.947373i \(0.396273\pi\)
−0.994748 + 0.102352i \(0.967363\pi\)
\(710\) −24.3877 + 28.1450i −0.915256 + 1.05626i
\(711\) 0.142236 0.484413i 0.00533428 0.0181669i
\(712\) 4.47164 0.167582
\(713\) 2.35716 + 14.0199i 0.0882762 + 0.525050i
\(714\) 6.74772 + 16.2928i 0.252527 + 0.609741i
\(715\) 20.4945 + 6.01772i 0.766450 + 0.225050i
\(716\) −14.1937 + 16.3805i −0.530445 + 0.612167i
\(717\) 15.1708 23.6063i 0.566565 0.881593i
\(718\) −4.29578 0.617639i −0.160317 0.0230501i
\(719\) 10.6523 + 16.5752i 0.397262 + 0.618152i 0.981050 0.193754i \(-0.0620665\pi\)
−0.583788 + 0.811906i \(0.698430\pi\)
\(720\) 0.997464 + 2.18414i 0.0371733 + 0.0813982i
\(721\) −15.1183 7.56865i −0.563036 0.281871i
\(722\) 2.42158 + 16.8425i 0.0901219 + 0.626811i
\(723\) 16.6114 + 7.58615i 0.617783 + 0.282132i
\(724\) −5.80832 + 1.70548i −0.215865 + 0.0633836i
\(725\) −3.65019 + 1.07179i −0.135564 + 0.0398053i
\(726\) −4.50249 2.05622i −0.167103 0.0763134i
\(727\) −6.30408 43.8459i −0.233806 1.62615i −0.681396 0.731915i \(-0.738627\pi\)
0.447591 0.894239i \(-0.352282\pi\)
\(728\) 4.28345 8.55618i 0.158755 0.317113i
\(729\) −0.415415 0.909632i −0.0153857 0.0336901i
\(730\) −17.4774 27.1954i −0.646868 1.00655i
\(731\) −37.0968 5.33372i −1.37208 0.197275i
\(732\) 6.91528 10.7604i 0.255596 0.397716i
\(733\) 5.38369 6.21311i 0.198851 0.229486i −0.647563 0.762012i \(-0.724212\pi\)
0.846414 + 0.532526i \(0.178757\pi\)
\(734\) −3.02725 0.888881i −0.111738 0.0328092i
\(735\) 11.8838 + 11.8862i 0.438340 + 0.438428i
\(736\) 4.40856 + 1.88801i 0.162502 + 0.0695928i
\(737\) 7.48681 0.275780
\(738\) −2.31337 + 7.87863i −0.0851565 + 0.290016i
\(739\) 30.7215 35.4546i 1.13011 1.30422i 0.183071 0.983100i \(-0.441396\pi\)
0.947039 0.321117i \(-0.104058\pi\)
\(740\) 4.04807 6.29892i 0.148810 0.231553i
\(741\) −0.725026 + 5.04267i −0.0266345 + 0.185247i
\(742\) −19.0174 13.2054i −0.698151 0.484787i
\(743\) −40.3843 + 18.4429i −1.48156 + 0.676604i −0.981862 0.189598i \(-0.939281\pi\)
−0.499694 + 0.866202i \(0.666554\pi\)
\(744\) −1.94126 2.24033i −0.0711701 0.0821346i
\(745\) 29.3602 4.22137i 1.07568 0.154659i
\(746\) −20.3749 9.30489i −0.745977 0.340676i
\(747\) 0.285467 0.0838208i 0.0104447 0.00306684i
\(748\) −4.61895 15.7307i −0.168886 0.575171i
\(749\) 30.2122 + 1.08055i 1.10393 + 0.0394826i
\(750\) −10.0643 + 1.44703i −0.367496 + 0.0528379i
\(751\) 15.9106 13.7866i 0.580587 0.503081i −0.314330 0.949314i \(-0.601780\pi\)
0.894917 + 0.446232i \(0.147235\pi\)
\(752\) 4.05049 1.84980i 0.147706 0.0674551i
\(753\) −13.9505 21.7075i −0.508386 0.791064i
\(754\) −17.7922 2.55813i −0.647952 0.0931615i
\(755\) −14.4065 9.25848i −0.524305 0.336951i
\(756\) −2.51032 0.835654i −0.0912993 0.0303924i
\(757\) −13.6941 + 46.6379i −0.497721 + 1.69508i 0.200918 + 0.979608i \(0.435607\pi\)
−0.698639 + 0.715474i \(0.746211\pi\)
\(758\) 3.12357i 0.113453i
\(759\) −6.61169 9.76936i −0.239989 0.354605i
\(760\) −3.38239 −0.122692
\(761\) 12.5617 42.7812i 0.455361 1.55082i −0.337445 0.941345i \(-0.609563\pi\)
0.792807 0.609473i \(-0.208619\pi\)
\(762\) −8.12635 7.04153i −0.294387 0.255088i
\(763\) 1.99142 11.0345i 0.0720941 0.399476i
\(764\) −13.9673 2.00819i −0.505319 0.0726539i
\(765\) −13.4637 + 8.65257i −0.486780 + 0.312834i
\(766\) −6.78074 14.8477i −0.244998 0.536471i
\(767\) 13.0286 + 15.0358i 0.470436 + 0.542912i
\(768\) −0.989821 + 0.142315i −0.0357171 + 0.00513534i
\(769\) −10.1720 + 22.2736i −0.366811 + 0.803205i 0.632772 + 0.774338i \(0.281917\pi\)
−0.999583 + 0.0288666i \(0.990810\pi\)
\(770\) −9.80425 12.1676i −0.353321 0.438489i
\(771\) 0.286608 0.0841557i 0.0103219 0.00303079i
\(772\) 6.16230 13.4936i 0.221786 0.485643i
\(773\) −5.94387 41.3405i −0.213786 1.48691i −0.760359 0.649503i \(-0.774977\pi\)
0.546573 0.837411i \(-0.315932\pi\)
\(774\)