Properties

Label 966.2.s.a.97.2
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 97.2
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.a.727.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.341716 + 2.37669i) q^{5} +(0.540641 + 0.841254i) q^{6} +(-0.0945662 - 2.64406i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(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} +(-0.0945662 - 2.64406i) 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} +(-0.654182 + 2.56360i) 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} +(-1.66002 + 2.06018i) 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} +(1.34993 - 2.27545i) 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} +(6.31642 + 0.678764i) 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} +(2.17320 - 1.50904i) 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} +(-6.98211 + 0.500077i) 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} +(-1.93632 + 1.80296i) 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} +(2.60369 - 0.469893i) 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} +(6.17466 - 2.05547i) 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} +(-2.51032 + 0.835654i) 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} +(6.84018 + 1.48727i) 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 \(0.225862\pi\)
−0.911464 + 0.411381i \(0.865047\pi\)
\(6\) 0.540641 + 0.841254i 0.220716 + 0.343440i
\(7\) −0.0945662 2.64406i −0.0357427 0.999361i
\(8\) −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 −0.0968103 0.995303i \(-0.530864\pi\)
−0.815597 + 0.578620i \(0.803591\pi\)
\(14\) −0.654182 + 2.56360i −0.174838 + 0.685151i
\(15\) 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 0.361655 0.932312i \(-0.382212\pi\)
0.998298 + 0.0583239i \(0.0185756\pi\)
\(18\) 0.142315 0.989821i 0.0335439 0.233303i
\(19\) −1.18505 0.761584i −0.271869 0.174719i 0.397602 0.917558i \(-0.369843\pi\)
−0.669470 + 0.742839i \(0.733479\pi\)
\(20\) −1.57240 + 1.81465i −0.351600 + 0.405768i
\(21\) −1.66002 + 2.06018i −0.362247 + 0.449567i
\(22\) 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
\(28\) 1.34993 2.27545i 0.255113 0.430020i
\(29\) 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 −0.832418 0.554148i \(-0.813044\pi\)
0.430042 + 0.902809i \(0.358499\pi\)
\(32\) −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
\(35\) 6.31642 + 0.678764i 1.06767 + 0.114732i
\(36\) −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 0.743874 0.668320i \(-0.232986\pi\)
0.525454 + 0.850822i \(0.323895\pi\)
\(42\) 2.17320 1.50904i 0.335332 0.232850i
\(43\) 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 \(0.105284\pi\)
−0.945796 + 0.324760i \(0.894716\pi\)
\(48\) 0.281733 0.959493i 0.0406646 0.138491i
\(49\) −6.98211 + 0.500077i −0.997445 + 0.0714396i
\(50\) 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
\(56\) −1.93632 + 1.80296i −0.258752 + 0.240931i
\(57\) 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 0.0621321 0.998068i \(-0.480210\pi\)
−0.713602 + 0.700552i \(0.752937\pi\)
\(60\) 2.37669 0.341716i 0.306829 0.0441154i
\(61\) 8.37626 + 9.66672i 1.07247 + 1.23770i 0.970037 + 0.242957i \(0.0781173\pi\)
0.102433 + 0.994740i \(0.467337\pi\)
\(62\) 2.69650 1.23145i 0.342456 0.156394i
\(63\) 2.60369 0.469893i 0.328034 0.0592009i
\(64\) −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 \(-0.529359\pi\)
0.944027 0.329868i \(-0.107004\pi\)
\(74\) −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
\(77\) 6.17466 2.05547i 0.703668 0.234243i
\(78\) −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 0.992013 0.126134i \(-0.0402568\pi\)
−0.987366 + 0.158458i \(0.949348\pi\)
\(84\) −2.51032 + 0.835654i −0.273898 + 0.0911773i
\(85\) 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 −0.579019 0.815314i \(-0.696564\pi\)
0.889418 + 0.457094i \(0.151110\pi\)
\(90\) 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 \(-0.752560\pi\)
0.881504 0.472176i \(-0.156531\pi\)
\(98\) 6.84018 + 1.48727i 0.690962 + 0.150237i
\(99\) −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 −0.0289133 0.999582i \(-0.509205\pi\)
0.253873 + 0.967238i \(0.418296\pi\)
\(102\) 6.06299 + 2.76888i 0.600326 + 0.274160i
\(103\) 6.13142 1.80035i 0.604146 0.177393i 0.0346668 0.999399i \(-0.488963\pi\)
0.569479 + 0.822006i \(0.307145\pi\)
\(104\) 1.01890 + 3.47006i 0.0999114 + 0.340267i
\(105\) −4.32914 4.64935i −0.422480 0.453730i
\(106\) −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
\(112\) 2.36584 1.18440i 0.223551 0.111916i
\(113\) 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
\(119\) −10.0582 14.4851i −0.922038 1.32784i
\(120\) −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
\(126\) −2.63061 0.282685i −0.234353 0.0251836i
\(127\) 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 −0.911325 0.411688i \(-0.864939\pi\)
−0.285658 + 0.958332i \(0.592212\pi\)
\(132\) 2.06925 1.32982i 0.180105 0.115746i
\(133\) −1.90161 + 3.20536i −0.164890 + 0.277940i
\(134\) −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 \(0.275199\pi\)
−0.648972 + 0.760812i \(0.724801\pi\)
\(140\) 4.94674 + 3.98593i 0.418076 + 0.336872i
\(141\) 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
\(147\) 5.60421 + 4.19438i 0.462228 + 0.345947i
\(148\) 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
\(154\) −6.50364 + 0.232606i −0.524078 + 0.0187439i
\(155\) −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 0.374861 0.927081i \(-0.377691\pi\)
−0.687580 + 0.726109i \(0.741327\pi\)
\(158\) 0.381550 + 0.330615i 0.0303545 + 0.0263023i
\(159\) −8.39641 2.46541i −0.665879 0.195520i
\(160\) 2.40113 0.189826
\(161\) 11.0635 + 6.21284i 0.871925 + 0.489640i
\(162\) 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 0.997361 0.0726033i \(-0.0231307\pi\)
−0.480361 + 0.877071i \(0.659494\pi\)
\(168\) 2.64406 0.0945662i 0.203994 0.00729594i
\(169\) 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 \(0.272658\pi\)
−0.142531 + 0.989790i \(0.545524\pi\)
\(174\) 4.52109 + 2.06471i 0.342743 + 0.156525i
\(175\) −0.500720 + 1.96221i −0.0378509 + 0.148329i
\(176\) −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 −0.589046 0.808100i \(-0.700496\pi\)
0.883704 + 0.468046i \(0.155042\pi\)
\(182\) 6.00356 7.45073i 0.445013 0.552285i
\(183\) 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
\(189\) −2.27545 1.34993i −0.165515 0.0981932i
\(190\) −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
\(196\) −6.14409 3.35412i −0.438864 0.239580i
\(197\) −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 0.629807 0.776752i \(-0.283134\pi\)
−0.858476 + 0.512853i \(0.828588\pi\)
\(200\) 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
\(203\) −7.50029 10.8013i −0.526417 0.758104i
\(204\) −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
\(210\) 2.84390 + 5.68068i 0.196248 + 0.392004i
\(211\) −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
\(217\) 5.34467 + 5.74000i 0.362820 + 0.389657i
\(218\) 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 −0.638451 0.769663i \(-0.720424\pi\)
0.163576 + 0.986531i \(0.447697\pi\)
\(224\) −2.60369 + 0.469893i −0.173966 + 0.0313960i
\(225\) 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 −0.483916 0.875114i \(-0.660786\pi\)
0.935075 + 0.354449i \(0.115332\pi\)
\(228\) −0.396868 + 1.35161i −0.0262832 + 0.0895124i
\(229\) 0.560336 0.0370280 0.0185140 0.999829i \(-0.494106\pi\)
0.0185140 + 0.999829i \(0.494106\pi\)
\(230\) 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
\(238\) 5.56990 + 16.7321i 0.361043 + 1.08458i
\(239\) −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 −0.792191 0.610274i \(-0.791059\pi\)
−0.336494 + 0.941686i \(0.609241\pi\)
\(242\) −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
\(245\) 1.19737 16.7652i 0.0764974 1.07109i
\(246\) 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 0.944878 0.327424i \(-0.106180\pi\)
0.617863 + 0.786286i \(0.287999\pi\)
\(252\) 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 −0.846254 0.532780i \(-0.821147\pi\)
0.836180 + 0.548455i \(0.184784\pi\)
\(258\) −0.800219 + 5.56565i −0.0498195 + 0.346502i
\(259\) −1.46529 8.11920i −0.0910485 0.504503i
\(260\) 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
\(266\) 2.72763 2.53977i 0.167242 0.155723i
\(267\) −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 −0.710884 0.703309i \(-0.751705\pi\)
0.0659953 + 0.997820i \(0.478978\pi\)
\(270\) −1.29815 2.01996i −0.0790027 0.122931i
\(271\) 21.2607 + 3.05682i 1.29149 + 0.185689i 0.753605 0.657328i \(-0.228313\pi\)
0.537888 + 0.843016i \(0.319222\pi\)
\(272\) 5.60723 + 3.60355i 0.339988 + 0.218497i
\(273\) 8.55618 4.28345i 0.517843 0.259246i
\(274\) −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
\(280\) −3.62340 5.21813i −0.216540 0.311843i
\(281\) −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 0.936957 0.349446i \(-0.113630\pi\)
−0.877670 + 0.479266i \(0.840903\pi\)
\(284\) 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
\(287\) 2.32120 21.6006i 0.137016 1.27504i
\(288\) 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 −0.866845 0.498577i \(-0.833856\pi\)
0.0934214 + 0.995627i \(0.470220\pi\)
\(294\) −4.19551 5.60337i −0.244687 0.326795i
\(295\) 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
\(301\) 9.33411 11.5841i 0.538009 0.667697i
\(302\) −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 −0.439447 0.898268i \(-0.644826\pi\)
0.826585 + 0.562811i \(0.190280\pi\)
\(308\) 6.30573 + 1.60910i 0.359302 + 0.0916872i
\(309\) −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 \(-0.989919\pi\)
0.823712 0.567008i \(-0.191899\pi\)
\(312\) 1.50237 3.28973i 0.0850549 0.186244i
\(313\) 0.772281 + 5.37133i 0.0436519 + 0.303606i 0.999938 + 0.0111716i \(0.00355611\pi\)
−0.956286 + 0.292434i \(0.905535\pi\)
\(314\) 3.05019 + 3.52011i 0.172132 + 0.198651i
\(315\) 0.227065 + 6.34873i 0.0127937 + 0.357710i
\(316\) −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
\(322\) −8.86498 9.07812i −0.494026 0.505904i
\(323\) −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
\(329\) 11.7737 0.421092i 0.649105 0.0232156i
\(330\) −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
\(336\) −2.56360 0.654182i −0.139856 0.0356886i
\(337\) −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
\(343\) 1.98251 + 18.4138i 0.107045 + 0.994254i
\(344\) 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 −0.431640 0.902046i \(-0.642065\pi\)
0.999840 + 0.0179101i \(0.00570126\pi\)
\(350\) 1.03326 1.74166i 0.0552299 0.0930957i
\(351\) −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 −0.686299 0.727320i \(-0.740766\pi\)
0.622246 + 0.782821i \(0.286220\pi\)
\(354\) −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
\(357\) −1.88419 + 17.5338i −0.0997219 + 0.927989i
\(358\) 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
\(364\) −7.85949 + 5.45753i −0.411949 + 0.286052i
\(365\) 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 \(-0.526241\pi\)
−0.0823462 + 0.996604i \(0.526241\pi\)
\(368\) −4.76190 0.569492i −0.248231 0.0296868i
\(369\) 8.21124i 0.427460i
\(370\) 2.10949 7.18425i 0.109667 0.373491i
\(371\) −10.3646 20.7032i −0.538102 1.07485i
\(372\) 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
\(378\) 1.80296 + 1.93632i 0.0927343 + 0.0995936i
\(379\) −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 0.413801 0.910368i \(-0.364201\pi\)
−0.959991 + 0.280030i \(0.909656\pi\)
\(384\) −0.909632 + 0.415415i −0.0464195 + 0.0211991i
\(385\) 2.77523 + 15.3776i 0.141439 + 0.783717i
\(386\) −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 0.868531 0.495635i \(-0.165065\pi\)
−0.811646 + 0.584149i \(0.801428\pi\)
\(398\) 2.04629 + 4.48075i 0.102571 + 0.224600i
\(399\) 3.53620 1.17716i 0.177032 0.0589317i
\(400\) −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
\(406\) 4.15340 + 12.4769i 0.206130 + 0.619216i
\(407\) 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 0.299899 0.953971i \(-0.403047\pi\)
0.0189861 + 0.999820i \(0.493956\pi\)
\(410\) 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 \(0.226414\pi\)
−0.910750 + 0.412958i \(0.864496\pi\)
\(420\) −1.12827 6.25179i −0.0550540 0.305056i
\(421\) −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
\(427\) 24.7673 23.0615i 1.19857 1.11602i
\(428\) 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 0.680389 0.732852i \(-0.261811\pi\)
−0.383982 + 0.923341i \(0.625447\pi\)
\(434\) −3.51103 7.01326i −0.168535 0.336647i
\(435\) 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 \(0.334297\pi\)
−0.887444 + 0.460915i \(0.847521\pi\)
\(440\) 4.46353 + 3.86767i 0.212790 + 0.184384i
\(441\) −1.48865 6.83988i −0.0708879 0.325708i
\(442\) 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
\(448\) 2.63061 + 0.282685i 0.124284 + 0.0133556i
\(449\) 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
\(455\) −19.7596 11.7226i −0.926343 0.549562i
\(456\) 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 \(-0.727367\pi\)
0.655084 0.755556i \(-0.272633\pi\)
\(462\) 5.06745 + 4.08319i 0.235759 + 0.189967i
\(463\) −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 \(-0.834835\pi\)
0.193881 0.981025i \(-0.437892\pi\)
\(468\) 2.73321 2.36834i 0.126343 0.109476i
\(469\) −7.80301 1.99118i −0.360310 0.0919442i
\(470\) 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
\(476\) −0.630314 17.6235i −0.0288904 0.807773i
\(477\) 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 0.573914 0.818915i \(-0.305424\pi\)
−0.506499 + 0.862241i \(0.669061\pi\)
\(480\) −1.81465 1.57240i −0.0828271 0.0717701i
\(481\) −10.8208 3.17728i −0.493387 0.144872i
\(482\) 18.2616 0.831794
\(483\) −4.29268 11.9404i −0.195324 0.543307i
\(484\) 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
\(490\) −5.87217 + 15.7487i −0.265278 + 0.711456i
\(491\) 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
\(497\) 10.1463 39.7611i 0.455122 1.78353i
\(498\) −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 −0.675648 0.737225i \(-0.736136\pi\)
0.825876 + 0.563852i \(0.190681\pi\)
\(504\) −2.06018 1.66002i −0.0917675 0.0739433i
\(505\) 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 0.934244 0.356634i \(-0.116076\pi\)
−0.220048 + 0.975489i \(0.570621\pi\)
\(510\) −8.65257 + 13.4637i −0.383142 + 0.596181i
\(511\) −30.6352 18.1746i −1.35522 0.803997i
\(512\) 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
\(518\) −0.881511 + 8.20314i −0.0387314 + 0.360425i
\(519\) 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 0.807572 0.589768i \(-0.200781\pi\)
−0.698695 + 0.715420i \(0.746236\pi\)
\(522\) −2.06471 4.52109i −0.0903700 0.197883i
\(523\) 8.77507 5.63939i 0.383707 0.246594i −0.334540 0.942381i \(-0.608581\pi\)
0.718247 + 0.695788i \(0.244945\pi\)
\(524\) −14.9078 2.14342i −0.651252 0.0936359i
\(525\) 1.66339 1.15504i 0.0725965 0.0504101i
\(526\) 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
\(532\) −3.33268 + 1.66843i −0.144490 + 0.0723357i
\(533\) −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
\(539\) −6.01870 16.1318i −0.259244 0.694846i
\(540\) 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
\(546\) −9.41638 + 1.69939i −0.402984 + 0.0727272i
\(547\) −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
\(560\) 2.00651 + 6.02759i 0.0847906 + 0.254712i
\(561\) −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 −0.366274 0.930507i \(-0.619367\pi\)
0.194941 + 0.980815i \(0.437549\pi\)
\(564\) 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
\(567\) 0.835654 + 2.51032i 0.0350942 + 0.105423i
\(568\) −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 \(-0.721397\pi\)
0.954129 0.299396i \(-0.0967852\pi\)
\(578\) −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
\(581\) 0.774647 0.139802i 0.0321378 0.00579997i
\(582\) 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 \(-0.972076\pi\)
0.790651 0.612268i \(-0.209743\pi\)
\(588\) 2.44691 + 6.55840i 0.100909 + 0.270464i
\(589\) 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 −0.0760524 0.997104i \(-0.524232\pi\)
−0.353888 + 0.935288i \(0.615141\pi\)
\(594\) −2.06925 1.32982i −0.0849022 0.0545633i
\(595\) 37.8636 18.9555i 1.55225 0.777101i
\(596\) −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 \(0.0132243\pi\)
0.183303 + 0.983056i \(0.441321\pi\)
\(602\) −12.2196 + 8.48516i −0.498035 + 0.345829i
\(603\) 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 −0.973995 0.226568i \(-0.927250\pi\)
−0.870710 + 0.491796i \(0.836340\pi\)
\(608\) −0.585182 + 1.28137i −0.0237323 + 0.0519664i
\(609\) −1.40501 + 13.0747i −0.0569340 + 0.529815i
\(610\) 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
\(616\) −5.59697 3.32045i −0.225508 0.133785i
\(617\) 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 0.548354 0.836247i \(-0.315255\pi\)
0.00919539 + 0.999958i \(0.497073\pi\)
\(620\) 7.11787i 0.285861i
\(621\) 2.09539 + 4.31385i 0.0840851 + 0.173109i
\(622\) 11.0034i 0.441197i
\(623\) −9.21237 7.42303i −0.369086 0.297397i
\(624\) −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
\(630\) 1.57078 6.15553i 0.0625812 0.245242i
\(631\) −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
\(637\) 23.7206 + 8.84460i 0.939844 + 0.350436i
\(638\) −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 \(-0.792069\pi\)
−0.794123 + 0.607758i \(0.792069\pi\)
\(644\) 5.94828 + 11.2079i 0.234395 + 0.441655i
\(645\) 13.5012 0.531611
\(646\) 9.00890 + 2.64525i 0.354451 + 0.104076i
\(647\) −23.5367 20.3946i −0.925322 0.801796i 0.0551454 0.998478i \(-0.482438\pi\)
−0.980467 + 0.196682i \(0.936983\pi\)
\(648\) 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
\(651\) −0.280331 7.83802i −0.0109870 0.307196i
\(652\) −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
\(658\) −11.4154 2.91300i −0.445019 0.113561i
\(659\) −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 −0.216744 0.976229i \(-0.569544\pi\)
0.797970 + 0.602697i \(0.205907\pi\)
\(662\) −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
\(665\) −6.96832 5.61485i −0.270220 0.217735i
\(666\) 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
\(672\) 2.27545 + 1.34993i 0.0877775 + 0.0520748i
\(673\) 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 \(-0.631855\pi\)
0.955406 0.295295i \(-0.0954179\pi\)
\(678\) 0.188521 0.0553548i 0.00724012 0.00212589i
\(679\) −30.7182 3.30098i −1.17886 0.126680i
\(680\) 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
\(686\) 3.28558 18.2265i 0.125444 0.695891i
\(687\) −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 \(-0.975032\pi\)
0.996925 0.0783574i \(-0.0249675\pi\)
\(692\) −6.74082 + 22.9571i −0.256247 + 0.872699i
\(693\) 2.91330 + 5.81929i 0.110667 + 0.221057i
\(694\) −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
\(700\) −1.48208 + 1.38001i −0.0560175 + 0.0521594i
\(701\) 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
\(707\) −1.07326 5.94699i −0.0403642 0.223659i
\(708\) −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 0.583788 0.811906i \(-0.301570\pi\)
−0.981050 + 0.193754i \(0.937934\pi\)
\(720\) −0.997464 2.18414i −0.0371733 0.0813982i
\(721\) −5.34005 16.0416i −0.198874 0.597420i
\(722\) 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 \(0.261373\pi\)
−0.447591 + 0.894239i \(0.647718\pi\)
\(728\) 9.07869 3.02218i 0.336478 0.112010i
\(729\) −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 −0.846414 0.532526i \(-0.821243\pi\)
0.647563 + 0.762012i \(0.275788\pi\)
\(734\) 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
\(742\) 4.11198 + 22.7846i 0.150955 + 0.836448i
\(743\) −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
\(749\) −20.6014 22.1252i −0.752758 0.808438i
\(750\) −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
\(756\) −1.18440 2.36584i −0.0430763 0.0860447i
\(757\) −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 \(0.390437\pi\)
−0.792807 + 0.609473i \(0.791381\pi\)
\(762\) 8.12635 + 7.04153i 0.294387 + 0.255088i
\(763\) −9.21007 + 6.39535i −0.333427 + 0.231527i
\(764\) −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 \(-0.718083\pi\)
0.999583 0.0288666i \(-0.00918980\pi\)
\(770\) 1.66957 15.5366i 0.0601670 0.559900i
\(771\) 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 \(0.225023\pi\)
−0.546573 + 0.837411i \(0.684068\pi\)
\(774\) 4.24949 3.68220i 0.152745 0.132354i