Properties

Label 273.2.cg.b.19.3
Level $273$
Weight $2$
Character 273.19
Analytic conductor $2.180$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.3
Character \(\chi\) \(=\) 273.19
Dual form 273.2.cg.b.115.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.49615 - 0.400893i) q^{2} +1.00000i q^{3} +(0.345704 + 0.199592i) q^{4} +(0.481371 - 0.128983i) q^{5} +(0.400893 - 1.49615i) q^{6} +(-2.58563 - 0.560827i) q^{7} +(1.75331 + 1.75331i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-1.49615 - 0.400893i) q^{2} +1.00000i q^{3} +(0.345704 + 0.199592i) q^{4} +(0.481371 - 0.128983i) q^{5} +(0.400893 - 1.49615i) q^{6} +(-2.58563 - 0.560827i) q^{7} +(1.75331 + 1.75331i) q^{8} -1.00000 q^{9} -0.771912 q^{10} +(1.32217 + 1.32217i) q^{11} +(-0.199592 + 0.345704i) q^{12} +(-3.48498 + 0.924630i) q^{13} +(3.64366 + 1.87564i) q^{14} +(0.128983 + 0.481371i) q^{15} +(-2.31951 - 4.01751i) q^{16} +(-1.95881 + 3.39275i) q^{17} +(1.49615 + 0.400893i) q^{18} +(-2.70752 - 2.70752i) q^{19} +(0.192156 + 0.0514880i) q^{20} +(0.560827 - 2.58563i) q^{21} +(-1.44812 - 2.50822i) q^{22} +(-4.25685 + 2.45769i) q^{23} +(-1.75331 + 1.75331i) q^{24} +(-4.11505 + 2.37582i) q^{25} +(5.58473 + 0.0137152i) q^{26} -1.00000i q^{27} +(-0.781926 - 0.709952i) q^{28} +(-2.28804 + 3.96301i) q^{29} -0.771912i q^{30} +(-1.12967 + 4.21599i) q^{31} +(0.576239 + 2.15055i) q^{32} +(-1.32217 + 1.32217i) q^{33} +(4.29080 - 4.29080i) q^{34} +(-1.31698 + 0.0635363i) q^{35} +(-0.345704 - 0.199592i) q^{36} +(0.0389735 - 0.145451i) q^{37} +(2.96543 + 5.13628i) q^{38} +(-0.924630 - 3.48498i) q^{39} +(1.07014 + 0.617844i) q^{40} +(4.92590 - 1.31989i) q^{41} +(-1.87564 + 3.64366i) q^{42} +(-5.06441 + 2.92394i) q^{43} +(0.193185 + 0.720977i) q^{44} +(-0.481371 + 0.128983i) q^{45} +(7.35416 - 1.97054i) q^{46} +(-2.39236 - 8.92840i) q^{47} +(4.01751 - 2.31951i) q^{48} +(6.37095 + 2.90018i) q^{49} +(7.10918 - 1.90490i) q^{50} +(-3.39275 - 1.95881i) q^{51} +(-1.38932 - 0.375926i) q^{52} +(6.56146 + 11.3648i) q^{53} +(-0.400893 + 1.49615i) q^{54} +(0.806994 + 0.465918i) q^{55} +(-3.55010 - 5.51670i) q^{56} +(2.70752 - 2.70752i) q^{57} +(5.01200 - 5.01200i) q^{58} +(-0.986638 - 3.68218i) q^{59} +(-0.0514880 + 0.192156i) q^{60} -11.7615i q^{61} +(3.38032 - 5.85488i) q^{62} +(2.58563 + 0.560827i) q^{63} +5.82948i q^{64} +(-1.55830 + 0.894592i) q^{65} +(2.50822 - 1.44812i) q^{66} +(6.99516 - 6.99516i) q^{67} +(-1.35433 + 0.781926i) q^{68} +(-2.45769 - 4.25685i) q^{69} +(1.99588 + 0.432909i) q^{70} +(-1.82020 - 0.487720i) q^{71} +(-1.75331 - 1.75331i) q^{72} +(6.55409 + 1.75616i) q^{73} +(-0.116621 + 0.201993i) q^{74} +(-2.37582 - 4.11505i) q^{75} +(-0.395600 - 1.47640i) q^{76} +(-2.67714 - 4.16016i) q^{77} +(-0.0137152 + 5.58473i) q^{78} +(2.22755 - 3.85822i) q^{79} +(-1.63474 - 1.63474i) q^{80} +1.00000 q^{81} -7.89902 q^{82} +(-5.85648 - 5.85648i) q^{83} +(0.709952 - 0.781926i) q^{84} +(-0.505305 + 1.88582i) q^{85} +(8.74931 - 2.34437i) q^{86} +(-3.96301 - 2.28804i) q^{87} +4.63635i q^{88} +(11.9450 + 3.20066i) q^{89} +0.771912 q^{90} +(9.52941 - 0.436280i) q^{91} -1.96215 q^{92} +(-4.21599 - 1.12967i) q^{93} +14.3173i q^{94} +(-1.65254 - 0.954096i) q^{95} +(-2.15055 + 0.576239i) q^{96} +(-2.09507 + 7.81890i) q^{97} +(-8.36924 - 6.89317i) q^{98} +(-1.32217 - 1.32217i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 8q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 8q^{7} - 40q^{9} + 4q^{11} - 24q^{12} - 18q^{14} + 32q^{16} + 4q^{17} + 14q^{19} + 14q^{20} + 2q^{21} + 4q^{22} + 12q^{23} + 24q^{25} - 32q^{26} + 16q^{28} + 8q^{29} + 14q^{31} - 26q^{32} - 4q^{33} - 24q^{34} + 26q^{35} + 36q^{37} - 8q^{38} + 18q^{39} - 30q^{40} - 2q^{41} - 66q^{43} - 32q^{44} - 26q^{46} - 4q^{47} + 24q^{48} - 14q^{49} - 20q^{50} + 2q^{52} - 8q^{53} - 42q^{55} + 46q^{56} - 14q^{57} + 24q^{58} + 14q^{59} + 2q^{60} + 24q^{62} + 8q^{63} + 28q^{65} - 18q^{66} - 44q^{67} - 18q^{68} + 4q^{69} - 4q^{70} - 6q^{71} + 14q^{73} - 20q^{74} + 24q^{75} - 64q^{76} + 24q^{77} + 8q^{78} + 20q^{80} + 40q^{81} + 48q^{82} - 12q^{83} + 22q^{84} + 2q^{85} - 60q^{86} + 18q^{87} - 2q^{89} - 14q^{91} + 236q^{92} - 8q^{93} + 24q^{95} + 16q^{96} - 62q^{97} - 88q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.49615 0.400893i −1.05794 0.283474i −0.312410 0.949947i \(-0.601136\pi\)
−0.745529 + 0.666473i \(0.767803\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 0.345704 + 0.199592i 0.172852 + 0.0997962i
\(5\) 0.481371 0.128983i 0.215276 0.0576829i −0.149569 0.988751i \(-0.547789\pi\)
0.364845 + 0.931068i \(0.381122\pi\)
\(6\) 0.400893 1.49615i 0.163664 0.610801i
\(7\) −2.58563 0.560827i −0.977276 0.211973i
\(8\) 1.75331 + 1.75331i 0.619888 + 0.619888i
\(9\) −1.00000 −0.333333
\(10\) −0.771912 −0.244100
\(11\) 1.32217 + 1.32217i 0.398650 + 0.398650i 0.877757 0.479106i \(-0.159039\pi\)
−0.479106 + 0.877757i \(0.659039\pi\)
\(12\) −0.199592 + 0.345704i −0.0576174 + 0.0997962i
\(13\) −3.48498 + 0.924630i −0.966559 + 0.256446i
\(14\) 3.64366 + 1.87564i 0.973809 + 0.501286i
\(15\) 0.128983 + 0.481371i 0.0333033 + 0.124289i
\(16\) −2.31951 4.01751i −0.579878 1.00438i
\(17\) −1.95881 + 3.39275i −0.475080 + 0.822863i −0.999593 0.0285396i \(-0.990914\pi\)
0.524512 + 0.851403i \(0.324248\pi\)
\(18\) 1.49615 + 0.400893i 0.352646 + 0.0944913i
\(19\) −2.70752 2.70752i −0.621147 0.621147i 0.324678 0.945825i \(-0.394744\pi\)
−0.945825 + 0.324678i \(0.894744\pi\)
\(20\) 0.192156 + 0.0514880i 0.0429674 + 0.0115131i
\(21\) 0.560827 2.58563i 0.122382 0.564230i
\(22\) −1.44812 2.50822i −0.308741 0.534755i
\(23\) −4.25685 + 2.45769i −0.887614 + 0.512464i −0.873161 0.487431i \(-0.837934\pi\)
−0.0144528 + 0.999896i \(0.504601\pi\)
\(24\) −1.75331 + 1.75331i −0.357892 + 0.357892i
\(25\) −4.11505 + 2.37582i −0.823009 + 0.475165i
\(26\) 5.58473 + 0.0137152i 1.09526 + 0.00268977i
\(27\) 1.00000i 0.192450i
\(28\) −0.781926 0.709952i −0.147770 0.134168i
\(29\) −2.28804 + 3.96301i −0.424879 + 0.735912i −0.996409 0.0846692i \(-0.973017\pi\)
0.571530 + 0.820581i \(0.306350\pi\)
\(30\) 0.771912i 0.140931i
\(31\) −1.12967 + 4.21599i −0.202895 + 0.757214i 0.787186 + 0.616716i \(0.211537\pi\)
−0.990081 + 0.140498i \(0.955130\pi\)
\(32\) 0.576239 + 2.15055i 0.101866 + 0.380168i
\(33\) −1.32217 + 1.32217i −0.230161 + 0.230161i
\(34\) 4.29080 4.29080i 0.735866 0.735866i
\(35\) −1.31698 + 0.0635363i −0.222611 + 0.0107396i
\(36\) −0.345704 0.199592i −0.0576174 0.0332654i
\(37\) 0.0389735 0.145451i 0.00640721 0.0239120i −0.962648 0.270755i \(-0.912727\pi\)
0.969055 + 0.246843i \(0.0793933\pi\)
\(38\) 2.96543 + 5.13628i 0.481057 + 0.833214i
\(39\) −0.924630 3.48498i −0.148059 0.558043i
\(40\) 1.07014 + 0.617844i 0.169204 + 0.0976898i
\(41\) 4.92590 1.31989i 0.769296 0.206132i 0.147235 0.989101i \(-0.452963\pi\)
0.622060 + 0.782969i \(0.286296\pi\)
\(42\) −1.87564 + 3.64366i −0.289418 + 0.562229i
\(43\) −5.06441 + 2.92394i −0.772315 + 0.445896i −0.833700 0.552218i \(-0.813782\pi\)
0.0613847 + 0.998114i \(0.480448\pi\)
\(44\) 0.193185 + 0.720977i 0.0291238 + 0.108691i
\(45\) −0.481371 + 0.128983i −0.0717585 + 0.0192276i
\(46\) 7.35416 1.97054i 1.08431 0.290541i
\(47\) −2.39236 8.92840i −0.348961 1.30234i −0.887916 0.460006i \(-0.847847\pi\)
0.538955 0.842335i \(-0.318819\pi\)
\(48\) 4.01751 2.31951i 0.579878 0.334793i
\(49\) 6.37095 + 2.90018i 0.910135 + 0.414311i
\(50\) 7.10918 1.90490i 1.00539 0.269393i
\(51\) −3.39275 1.95881i −0.475080 0.274288i
\(52\) −1.38932 0.375926i −0.192664 0.0521316i
\(53\) 6.56146 + 11.3648i 0.901285 + 1.56107i 0.825827 + 0.563923i \(0.190709\pi\)
0.0754580 + 0.997149i \(0.475958\pi\)
\(54\) −0.400893 + 1.49615i −0.0545546 + 0.203600i
\(55\) 0.806994 + 0.465918i 0.108815 + 0.0628244i
\(56\) −3.55010 5.51670i −0.474402 0.737200i
\(57\) 2.70752 2.70752i 0.358619 0.358619i
\(58\) 5.01200 5.01200i 0.658108 0.658108i
\(59\) −0.986638 3.68218i −0.128449 0.479380i 0.871490 0.490414i \(-0.163154\pi\)
−0.999939 + 0.0110341i \(0.996488\pi\)
\(60\) −0.0514880 + 0.192156i −0.00664708 + 0.0248072i
\(61\) 11.7615i 1.50590i −0.658076 0.752951i \(-0.728630\pi\)
0.658076 0.752951i \(-0.271370\pi\)
\(62\) 3.38032 5.85488i 0.429301 0.743571i
\(63\) 2.58563 + 0.560827i 0.325759 + 0.0706575i
\(64\) 5.82948i 0.728685i
\(65\) −1.55830 + 0.894592i −0.193284 + 0.110961i
\(66\) 2.50822 1.44812i 0.308741 0.178252i
\(67\) 6.99516 6.99516i 0.854594 0.854594i −0.136101 0.990695i \(-0.543457\pi\)
0.990695 + 0.136101i \(0.0434570\pi\)
\(68\) −1.35433 + 0.781926i −0.164237 + 0.0948224i
\(69\) −2.45769 4.25685i −0.295871 0.512464i
\(70\) 1.99588 + 0.432909i 0.238553 + 0.0517425i
\(71\) −1.82020 0.487720i −0.216017 0.0578817i 0.149187 0.988809i \(-0.452334\pi\)
−0.365205 + 0.930927i \(0.619001\pi\)
\(72\) −1.75331 1.75331i −0.206629 0.206629i
\(73\) 6.55409 + 1.75616i 0.767098 + 0.205543i 0.621089 0.783740i \(-0.286690\pi\)
0.146009 + 0.989283i \(0.453357\pi\)
\(74\) −0.116621 + 0.201993i −0.0135569 + 0.0234812i
\(75\) −2.37582 4.11505i −0.274336 0.475165i
\(76\) −0.395600 1.47640i −0.0453784 0.169355i
\(77\) −2.67714 4.16016i −0.305088 0.474094i
\(78\) −0.0137152 + 5.58473i −0.00155294 + 0.632346i
\(79\) 2.22755 3.85822i 0.250618 0.434084i −0.713078 0.701085i \(-0.752699\pi\)
0.963696 + 0.267001i \(0.0860327\pi\)
\(80\) −1.63474 1.63474i −0.182769 0.182769i
\(81\) 1.00000 0.111111
\(82\) −7.89902 −0.872301
\(83\) −5.85648 5.85648i −0.642832 0.642832i 0.308418 0.951251i \(-0.400200\pi\)
−0.951251 + 0.308418i \(0.900200\pi\)
\(84\) 0.709952 0.781926i 0.0774621 0.0853151i
\(85\) −0.505305 + 1.88582i −0.0548080 + 0.204546i
\(86\) 8.74931 2.34437i 0.943462 0.252800i
\(87\) −3.96301 2.28804i −0.424879 0.245304i
\(88\) 4.63635i 0.494237i
\(89\) 11.9450 + 3.20066i 1.26617 + 0.339269i 0.828562 0.559898i \(-0.189160\pi\)
0.437607 + 0.899167i \(0.355826\pi\)
\(90\) 0.771912 0.0813667
\(91\) 9.52941 0.436280i 0.998954 0.0457346i
\(92\) −1.96215 −0.204568
\(93\) −4.21599 1.12967i −0.437178 0.117141i
\(94\) 14.3173i 1.47672i
\(95\) −1.65254 0.954096i −0.169547 0.0978882i
\(96\) −2.15055 + 0.576239i −0.219490 + 0.0588122i
\(97\) −2.09507 + 7.81890i −0.212722 + 0.793889i 0.774234 + 0.632899i \(0.218135\pi\)
−0.986956 + 0.160990i \(0.948531\pi\)
\(98\) −8.36924 6.89317i −0.845421 0.696316i
\(99\) −1.32217 1.32217i −0.132883 0.132883i
\(100\) −1.89678 −0.189678
\(101\) −7.13841 −0.710298 −0.355149 0.934810i \(-0.615570\pi\)
−0.355149 + 0.934810i \(0.615570\pi\)
\(102\) 4.29080 + 4.29080i 0.424853 + 0.424853i
\(103\) −6.77987 + 11.7431i −0.668041 + 1.15708i 0.310410 + 0.950603i \(0.399534\pi\)
−0.978451 + 0.206478i \(0.933800\pi\)
\(104\) −7.73139 4.48907i −0.758126 0.440190i
\(105\) −0.0635363 1.31698i −0.00620050 0.128524i
\(106\) −5.26088 19.6339i −0.510982 1.90701i
\(107\) 7.16684 + 12.4133i 0.692844 + 1.20004i 0.970902 + 0.239477i \(0.0769760\pi\)
−0.278058 + 0.960564i \(0.589691\pi\)
\(108\) 0.199592 0.345704i 0.0192058 0.0332654i
\(109\) 8.27315 + 2.21678i 0.792424 + 0.212329i 0.632255 0.774760i \(-0.282129\pi\)
0.160169 + 0.987090i \(0.448796\pi\)
\(110\) −1.02060 1.02060i −0.0973106 0.0973106i
\(111\) 0.145451 + 0.0389735i 0.0138056 + 0.00369920i
\(112\) 3.74426 + 11.6886i 0.353800 + 1.10447i
\(113\) 5.02934 + 8.71107i 0.473120 + 0.819468i 0.999527 0.0307647i \(-0.00979426\pi\)
−0.526406 + 0.850233i \(0.676461\pi\)
\(114\) −5.13628 + 2.96543i −0.481057 + 0.277738i
\(115\) −1.73212 + 1.73212i −0.161521 + 0.161521i
\(116\) −1.58197 + 0.913352i −0.146882 + 0.0848026i
\(117\) 3.48498 0.924630i 0.322186 0.0854820i
\(118\) 5.90464i 0.543566i
\(119\) 6.96749 7.67384i 0.638709 0.703460i
\(120\) −0.617844 + 1.07014i −0.0564012 + 0.0976898i
\(121\) 7.50371i 0.682156i
\(122\) −4.71509 + 17.5970i −0.426884 + 1.59315i
\(123\) 1.31989 + 4.92590i 0.119010 + 0.444153i
\(124\) −1.23201 + 1.23201i −0.110638 + 0.110638i
\(125\) −3.43636 + 3.43636i −0.307358 + 0.307358i
\(126\) −3.64366 1.87564i −0.324603 0.167095i
\(127\) −16.1635 9.33200i −1.43428 0.828081i −0.436835 0.899542i \(-0.643901\pi\)
−0.997443 + 0.0714604i \(0.977234\pi\)
\(128\) 3.48947 13.0229i 0.308429 1.15107i
\(129\) −2.92394 5.06441i −0.257438 0.445896i
\(130\) 2.69010 0.713733i 0.235937 0.0625985i
\(131\) −1.88052 1.08572i −0.164302 0.0948599i 0.415594 0.909550i \(-0.363574\pi\)
−0.579896 + 0.814690i \(0.696907\pi\)
\(132\) −0.720977 + 0.193185i −0.0627530 + 0.0168146i
\(133\) 5.48218 + 8.51908i 0.475366 + 0.738698i
\(134\) −13.2701 + 7.66151i −1.14636 + 0.661854i
\(135\) −0.128983 0.481371i −0.0111011 0.0414298i
\(136\) −9.38293 + 2.51415i −0.804579 + 0.215586i
\(137\) −8.68418 + 2.32692i −0.741940 + 0.198802i −0.609940 0.792448i \(-0.708807\pi\)
−0.132000 + 0.991250i \(0.542140\pi\)
\(138\) 1.97054 + 7.35416i 0.167744 + 0.626028i
\(139\) −7.57721 + 4.37470i −0.642690 + 0.371057i −0.785650 0.618671i \(-0.787671\pi\)
0.142960 + 0.989729i \(0.454338\pi\)
\(140\) −0.467968 0.240895i −0.0395505 0.0203593i
\(141\) 8.92840 2.39236i 0.751907 0.201473i
\(142\) 2.52776 + 1.45941i 0.212125 + 0.122471i
\(143\) −5.83026 3.38522i −0.487551 0.283087i
\(144\) 2.31951 + 4.01751i 0.193293 + 0.334793i
\(145\) −0.590237 + 2.20279i −0.0490165 + 0.182932i
\(146\) −9.10188 5.25497i −0.753277 0.434905i
\(147\) −2.90018 + 6.37095i −0.239203 + 0.525467i
\(148\) 0.0425043 0.0425043i 0.00349383 0.00349383i
\(149\) −10.5464 + 10.5464i −0.863991 + 0.863991i −0.991799 0.127808i \(-0.959206\pi\)
0.127808 + 0.991799i \(0.459206\pi\)
\(150\) 1.90490 + 7.10918i 0.155534 + 0.580462i
\(151\) −1.50664 + 5.62287i −0.122609 + 0.457583i −0.999743 0.0226626i \(-0.992786\pi\)
0.877134 + 0.480245i \(0.159452\pi\)
\(152\) 9.49422i 0.770083i
\(153\) 1.95881 3.39275i 0.158360 0.274288i
\(154\) 2.33763 + 7.29748i 0.188371 + 0.588047i
\(155\) 2.17516i 0.174713i
\(156\) 0.375926 1.38932i 0.0300982 0.111235i
\(157\) 8.97361 5.18091i 0.716172 0.413482i −0.0971703 0.995268i \(-0.530979\pi\)
0.813342 + 0.581786i \(0.197646\pi\)
\(158\) −4.87948 + 4.87948i −0.388190 + 0.388190i
\(159\) −11.3648 + 6.56146i −0.901285 + 0.520357i
\(160\) 0.554770 + 0.960889i 0.0438584 + 0.0759650i
\(161\) 12.3850 3.96732i 0.976072 0.312669i
\(162\) −1.49615 0.400893i −0.117549 0.0314971i
\(163\) 6.45941 + 6.45941i 0.505940 + 0.505940i 0.913278 0.407338i \(-0.133543\pi\)
−0.407338 + 0.913278i \(0.633543\pi\)
\(164\) 1.96634 + 0.526880i 0.153546 + 0.0411424i
\(165\) −0.465918 + 0.806994i −0.0362717 + 0.0628244i
\(166\) 6.41436 + 11.1100i 0.497851 + 0.862304i
\(167\) −1.16987 4.36602i −0.0905275 0.337853i 0.905776 0.423757i \(-0.139289\pi\)
−0.996303 + 0.0859038i \(0.972622\pi\)
\(168\) 5.51670 3.55010i 0.425623 0.273896i
\(169\) 11.2901 6.44462i 0.868471 0.495740i
\(170\) 1.51203 2.61891i 0.115967 0.200861i
\(171\) 2.70752 + 2.70752i 0.207049 + 0.207049i
\(172\) −2.33438 −0.177995
\(173\) −16.4696 −1.25216 −0.626081 0.779758i \(-0.715342\pi\)
−0.626081 + 0.779758i \(0.715342\pi\)
\(174\) 5.01200 + 5.01200i 0.379959 + 0.379959i
\(175\) 11.9724 3.83517i 0.905029 0.289911i
\(176\) 2.24505 8.37864i 0.169227 0.631564i
\(177\) 3.68218 0.986638i 0.276770 0.0741603i
\(178\) −16.5884 9.57733i −1.24336 0.717851i
\(179\) 5.18994i 0.387914i −0.981010 0.193957i \(-0.937868\pi\)
0.981010 0.193957i \(-0.0621322\pi\)
\(180\) −0.192156 0.0514880i −0.0143225 0.00383769i
\(181\) −23.2601 −1.72891 −0.864454 0.502713i \(-0.832335\pi\)
−0.864454 + 0.502713i \(0.832335\pi\)
\(182\) −14.4323 3.16753i −1.06980 0.234793i
\(183\) 11.7615 0.869433
\(184\) −11.7727 3.15447i −0.867892 0.232551i
\(185\) 0.0750429i 0.00551726i
\(186\) 5.85488 + 3.38032i 0.429301 + 0.247857i
\(187\) −7.07569 + 1.89593i −0.517426 + 0.138644i
\(188\) 0.954992 3.56408i 0.0696500 0.259937i
\(189\) −0.560827 + 2.58563i −0.0407941 + 0.188077i
\(190\) 2.08997 + 2.08997i 0.151622 + 0.151622i
\(191\) 19.0528 1.37861 0.689305 0.724471i \(-0.257916\pi\)
0.689305 + 0.724471i \(0.257916\pi\)
\(192\) −5.82948 −0.420706
\(193\) −2.42204 2.42204i −0.174342 0.174342i 0.614542 0.788884i \(-0.289341\pi\)
−0.788884 + 0.614542i \(0.789341\pi\)
\(194\) 6.26908 10.8584i 0.450094 0.779585i
\(195\) −0.894592 1.55830i −0.0640631 0.111593i
\(196\) 1.62361 + 2.27420i 0.115972 + 0.162443i
\(197\) 2.33053 + 8.69765i 0.166043 + 0.619682i 0.997905 + 0.0646986i \(0.0206086\pi\)
−0.831862 + 0.554983i \(0.812725\pi\)
\(198\) 1.44812 + 2.50822i 0.102914 + 0.178252i
\(199\) 11.1179 19.2568i 0.788127 1.36508i −0.138986 0.990294i \(-0.544384\pi\)
0.927113 0.374782i \(-0.122282\pi\)
\(200\) −11.3805 3.04939i −0.804722 0.215625i
\(201\) 6.99516 + 6.99516i 0.493400 + 0.493400i
\(202\) 10.6801 + 2.86173i 0.751452 + 0.201351i
\(203\) 8.13859 8.96367i 0.571217 0.629126i
\(204\) −0.781926 1.35433i −0.0547457 0.0948224i
\(205\) 2.20094 1.27071i 0.153720 0.0887504i
\(206\) 14.8514 14.8514i 1.03475 1.03475i
\(207\) 4.25685 2.45769i 0.295871 0.170821i
\(208\) 11.7981 + 11.8562i 0.818054 + 0.822082i
\(209\) 7.15961i 0.495241i
\(210\) −0.432909 + 1.99588i −0.0298736 + 0.137729i
\(211\) 1.21409 2.10286i 0.0835813 0.144767i −0.821204 0.570634i \(-0.806697\pi\)
0.904786 + 0.425867i \(0.140031\pi\)
\(212\) 5.23847i 0.359779i
\(213\) 0.487720 1.82020i 0.0334180 0.124718i
\(214\) −5.74626 21.4453i −0.392807 1.46597i
\(215\) −2.06072 + 2.06072i −0.140540 + 0.140540i
\(216\) 1.75331 1.75331i 0.119297 0.119297i
\(217\) 5.28535 10.2674i 0.358793 0.696998i
\(218\) −11.4892 6.63329i −0.778146 0.449263i
\(219\) −1.75616 + 6.55409i −0.118671 + 0.442884i
\(220\) 0.185987 + 0.322140i 0.0125393 + 0.0217186i
\(221\) 3.68935 13.6348i 0.248173 0.917178i
\(222\) −0.201993 0.116621i −0.0135569 0.00782706i
\(223\) −0.632245 + 0.169409i −0.0423382 + 0.0113445i −0.279926 0.960022i \(-0.590310\pi\)
0.237588 + 0.971366i \(0.423643\pi\)
\(224\) −0.283852 5.88370i −0.0189657 0.393122i
\(225\) 4.11505 2.37582i 0.274336 0.158388i
\(226\) −4.03245 15.0493i −0.268235 1.00106i
\(227\) −1.79175 + 0.480097i −0.118922 + 0.0318652i −0.317789 0.948161i \(-0.602941\pi\)
0.198867 + 0.980026i \(0.436274\pi\)
\(228\) 1.47640 0.395600i 0.0977769 0.0261993i
\(229\) 3.91765 + 14.6209i 0.258885 + 0.966174i 0.965887 + 0.258962i \(0.0833805\pi\)
−0.707002 + 0.707211i \(0.749953\pi\)
\(230\) 3.28591 1.89712i 0.216667 0.125093i
\(231\) 4.16016 2.67714i 0.273718 0.176143i
\(232\) −10.9600 + 2.93673i −0.719560 + 0.192806i
\(233\) 20.8054 + 12.0120i 1.36300 + 0.786931i 0.990023 0.140907i \(-0.0450020\pi\)
0.372982 + 0.927839i \(0.378335\pi\)
\(234\) −5.58473 0.0137152i −0.365085 0.000896590i
\(235\) −2.30322 3.98930i −0.150246 0.260233i
\(236\) 0.393851 1.46987i 0.0256375 0.0956805i
\(237\) 3.85822 + 2.22755i 0.250618 + 0.144695i
\(238\) −13.5008 + 8.68802i −0.875128 + 0.563161i
\(239\) 2.03275 2.03275i 0.131487 0.131487i −0.638300 0.769788i \(-0.720362\pi\)
0.769788 + 0.638300i \(0.220362\pi\)
\(240\) 1.63474 1.63474i 0.105522 0.105522i
\(241\) −5.78978 21.6078i −0.372953 1.39188i −0.856313 0.516457i \(-0.827251\pi\)
0.483361 0.875421i \(-0.339416\pi\)
\(242\) −3.00818 + 11.2267i −0.193373 + 0.721679i
\(243\) 1.00000i 0.0641500i
\(244\) 2.34750 4.06599i 0.150283 0.260298i
\(245\) 3.44086 + 0.574318i 0.219829 + 0.0366919i
\(246\) 7.89902i 0.503623i
\(247\) 11.9391 + 6.93218i 0.759666 + 0.441084i
\(248\) −9.37258 + 5.41126i −0.595160 + 0.343616i
\(249\) 5.85648 5.85648i 0.371139 0.371139i
\(250\) 6.51893 3.76371i 0.412293 0.238038i
\(251\) 10.2228 + 17.7064i 0.645256 + 1.11762i 0.984242 + 0.176825i \(0.0565827\pi\)
−0.338986 + 0.940791i \(0.610084\pi\)
\(252\) 0.781926 + 0.709952i 0.0492567 + 0.0447228i
\(253\) −8.87779 2.37880i −0.558142 0.149554i
\(254\) 20.4419 + 20.4419i 1.28264 + 1.28264i
\(255\) −1.88582 0.505305i −0.118095 0.0316434i
\(256\) −4.61208 + 7.98836i −0.288255 + 0.499273i
\(257\) −2.38426 4.12966i −0.148726 0.257601i 0.782031 0.623240i \(-0.214184\pi\)
−0.930757 + 0.365639i \(0.880851\pi\)
\(258\) 2.34437 + 8.74931i 0.145954 + 0.544708i
\(259\) −0.182344 + 0.354225i −0.0113303 + 0.0220105i
\(260\) −0.717266 0.00176149i −0.0444830 0.000109243i
\(261\) 2.28804 3.96301i 0.141626 0.245304i
\(262\) 2.37829 + 2.37829i 0.146931 + 0.146931i
\(263\) −30.2896 −1.86773 −0.933867 0.357619i \(-0.883589\pi\)
−0.933867 + 0.357619i \(0.883589\pi\)
\(264\) −4.63635 −0.285348
\(265\) 4.62436 + 4.62436i 0.284072 + 0.284072i
\(266\) −4.78694 14.9436i −0.293506 0.916251i
\(267\) −3.20066 + 11.9450i −0.195877 + 0.731023i
\(268\) 3.81443 1.02207i 0.233004 0.0624332i
\(269\) 9.92350 + 5.72934i 0.605047 + 0.349324i 0.771024 0.636806i \(-0.219745\pi\)
−0.165978 + 0.986130i \(0.553078\pi\)
\(270\) 0.771912i 0.0469771i
\(271\) −28.5679 7.65475i −1.73538 0.464993i −0.753967 0.656912i \(-0.771862\pi\)
−0.981411 + 0.191919i \(0.938529\pi\)
\(272\) 18.1739 1.10195
\(273\) 0.436280 + 9.52941i 0.0264049 + 0.576746i
\(274\) 13.9257 0.841282
\(275\) −8.58205 2.29955i −0.517517 0.138668i
\(276\) 1.96215i 0.118107i
\(277\) 26.8500 + 15.5019i 1.61326 + 0.931416i 0.988608 + 0.150514i \(0.0480928\pi\)
0.624653 + 0.780903i \(0.285241\pi\)
\(278\) 13.0904 3.50757i 0.785112 0.210370i
\(279\) 1.12967 4.21599i 0.0676316 0.252405i
\(280\) −2.42048 2.19768i −0.144651 0.131336i
\(281\) 18.5399 + 18.5399i 1.10600 + 1.10600i 0.993671 + 0.112327i \(0.0358305\pi\)
0.112327 + 0.993671i \(0.464169\pi\)
\(282\) −14.3173 −0.852584
\(283\) −3.11440 −0.185132 −0.0925658 0.995707i \(-0.529507\pi\)
−0.0925658 + 0.995707i \(0.529507\pi\)
\(284\) −0.531904 0.531904i −0.0315627 0.0315627i
\(285\) 0.954096 1.65254i 0.0565158 0.0978882i
\(286\) 7.36585 + 7.40212i 0.435552 + 0.437696i
\(287\) −13.4768 + 0.650170i −0.795508 + 0.0383783i
\(288\) −0.576239 2.15055i −0.0339552 0.126723i
\(289\) 0.826155 + 1.43094i 0.0485974 + 0.0841731i
\(290\) 1.76617 3.05909i 0.103713 0.179636i
\(291\) −7.81890 2.09507i −0.458352 0.122815i
\(292\) 1.91526 + 1.91526i 0.112082 + 0.112082i
\(293\) −10.6395 2.85085i −0.621567 0.166548i −0.0657272 0.997838i \(-0.520937\pi\)
−0.555840 + 0.831289i \(0.687603\pi\)
\(294\) 6.89317 8.36924i 0.402018 0.488104i
\(295\) −0.949878 1.64524i −0.0553040 0.0957894i
\(296\) 0.323353 0.186688i 0.0187945 0.0108510i
\(297\) 1.32217 1.32217i 0.0767203 0.0767203i
\(298\) 20.0069 11.5510i 1.15897 0.669131i
\(299\) 12.5626 12.5010i 0.726512 0.722952i
\(300\) 1.89678i 0.109511i
\(301\) 14.7345 4.71996i 0.849283 0.272054i
\(302\) 4.50833 7.80866i 0.259425 0.449338i
\(303\) 7.13841i 0.410091i
\(304\) −4.59736 + 17.1576i −0.263677 + 0.984055i
\(305\) −1.51703 5.66163i −0.0868649 0.324184i
\(306\) −4.29080 + 4.29080i −0.245289 + 0.245289i
\(307\) −2.19463 + 2.19463i −0.125254 + 0.125254i −0.766955 0.641701i \(-0.778229\pi\)
0.641701 + 0.766955i \(0.278229\pi\)
\(308\) −0.0951619 1.97252i −0.00542235 0.112395i
\(309\) −11.7431 6.77987i −0.668041 0.385694i
\(310\) 0.872006 3.25437i 0.0495266 0.184836i
\(311\) −2.52308 4.37011i −0.143071 0.247806i 0.785581 0.618759i \(-0.212364\pi\)
−0.928652 + 0.370953i \(0.879031\pi\)
\(312\) 4.48907 7.73139i 0.254144 0.437704i
\(313\) −18.6079 10.7433i −1.05178 0.607245i −0.128632 0.991692i \(-0.541059\pi\)
−0.923147 + 0.384447i \(0.874392\pi\)
\(314\) −15.5029 + 4.15398i −0.874877 + 0.234423i
\(315\) 1.31698 0.0635363i 0.0742036 0.00357986i
\(316\) 1.54014 0.889202i 0.0866398 0.0500215i
\(317\) 2.37875 + 8.87762i 0.133604 + 0.498617i 1.00000 0.000741159i \(-0.000235918\pi\)
−0.866396 + 0.499358i \(0.833569\pi\)
\(318\) 19.6339 5.26088i 1.10101 0.295015i
\(319\) −8.26497 + 2.21459i −0.462750 + 0.123993i
\(320\) 0.751903 + 2.80614i 0.0420327 + 0.156868i
\(321\) −12.4133 + 7.16684i −0.692844 + 0.400014i
\(322\) −20.1203 + 0.970677i −1.12126 + 0.0540937i
\(323\) 14.4894 3.88243i 0.806214 0.216024i
\(324\) 0.345704 + 0.199592i 0.0192058 + 0.0110885i
\(325\) 12.1441 12.0846i 0.673632 0.670332i
\(326\) −7.07473 12.2538i −0.391833 0.678674i
\(327\) −2.21678 + 8.27315i −0.122588 + 0.457506i
\(328\) 10.9508 + 6.32244i 0.604656 + 0.349098i
\(329\) 1.17846 + 24.4272i 0.0649707 + 1.34672i
\(330\) 1.02060 1.02060i 0.0561823 0.0561823i
\(331\) −16.9208 + 16.9208i −0.930052 + 0.930052i −0.997709 0.0676566i \(-0.978448\pi\)
0.0676566 + 0.997709i \(0.478448\pi\)
\(332\) −0.855701 3.19352i −0.0469627 0.175267i
\(333\) −0.0389735 + 0.145451i −0.00213574 + 0.00797068i
\(334\) 7.00123i 0.383090i
\(335\) 2.46501 4.26952i 0.134678 0.233269i
\(336\) −11.6886 + 3.74426i −0.637667 + 0.204266i
\(337\) 26.6085i 1.44946i 0.689035 + 0.724728i \(0.258035\pi\)
−0.689035 + 0.724728i \(0.741965\pi\)
\(338\) −19.4753 + 5.11601i −1.05932 + 0.278274i
\(339\) −8.71107 + 5.02934i −0.473120 + 0.273156i
\(340\) −0.551082 + 0.551082i −0.0298866 + 0.0298866i
\(341\) −7.06789 + 4.08065i −0.382748 + 0.220979i
\(342\) −2.96543 5.13628i −0.160352 0.277738i
\(343\) −14.8464 11.0718i −0.801630 0.597820i
\(344\) −14.0060 3.75290i −0.755154 0.202343i
\(345\) −1.73212 1.73212i −0.0932543 0.0932543i
\(346\) 24.6411 + 6.60255i 1.32471 + 0.354955i
\(347\) −10.2574 + 17.7664i −0.550648 + 0.953751i 0.447580 + 0.894244i \(0.352286\pi\)
−0.998228 + 0.0595067i \(0.981047\pi\)
\(348\) −0.913352 1.58197i −0.0489608 0.0848026i
\(349\) −2.23268 8.33248i −0.119513 0.446027i 0.880072 0.474840i \(-0.157494\pi\)
−0.999585 + 0.0288126i \(0.990827\pi\)
\(350\) −19.4500 + 0.938343i −1.03965 + 0.0501565i
\(351\) 0.924630 + 3.48498i 0.0493531 + 0.186014i
\(352\) −2.08152 + 3.60529i −0.110945 + 0.192163i
\(353\) −0.967089 0.967089i −0.0514729 0.0514729i 0.680902 0.732375i \(-0.261588\pi\)
−0.732375 + 0.680902i \(0.761588\pi\)
\(354\) −5.90464 −0.313828
\(355\) −0.939097 −0.0498421
\(356\) 3.49061 + 3.49061i 0.185002 + 0.185002i
\(357\) 7.67384 + 6.96749i 0.406143 + 0.368759i
\(358\) −2.08061 + 7.76493i −0.109963 + 0.410389i
\(359\) −29.5009 + 7.90474i −1.55700 + 0.417196i −0.931712 0.363199i \(-0.881685\pi\)
−0.625286 + 0.780395i \(0.715018\pi\)
\(360\) −1.07014 0.617844i −0.0564012 0.0325633i
\(361\) 4.33871i 0.228353i
\(362\) 34.8006 + 9.32479i 1.82908 + 0.490100i
\(363\) 7.50371 0.393843
\(364\) 3.38143 + 1.75117i 0.177235 + 0.0917864i
\(365\) 3.38146 0.176994
\(366\) −17.5970 4.71509i −0.919807 0.246462i
\(367\) 5.02135i 0.262112i 0.991375 + 0.131056i \(0.0418368\pi\)
−0.991375 + 0.131056i \(0.958163\pi\)
\(368\) 19.7476 + 11.4013i 1.02942 + 0.594333i
\(369\) −4.92590 + 1.31989i −0.256432 + 0.0687107i
\(370\) −0.0300841 + 0.112276i −0.00156400 + 0.00583693i
\(371\) −10.5918 33.0649i −0.549900 1.71665i
\(372\) −1.23201 1.23201i −0.0638768 0.0638768i
\(373\) 5.86321 0.303586 0.151793 0.988412i \(-0.451495\pi\)
0.151793 + 0.988412i \(0.451495\pi\)
\(374\) 11.3464 0.586707
\(375\) −3.43636 3.43636i −0.177453 0.177453i
\(376\) 11.4597 19.8488i 0.590988 1.02362i
\(377\) 4.30946 15.9266i 0.221949 0.820260i
\(378\) 1.87564 3.64366i 0.0964726 0.187410i
\(379\) −4.04123 15.0821i −0.207584 0.774714i −0.988646 0.150261i \(-0.951989\pi\)
0.781062 0.624453i \(-0.214678\pi\)
\(380\) −0.380861 0.659670i −0.0195377 0.0338404i
\(381\) 9.33200 16.1635i 0.478093 0.828081i
\(382\) −28.5058 7.63811i −1.45849 0.390800i
\(383\) 23.1330 + 23.1330i 1.18204 + 1.18204i 0.979215 + 0.202826i \(0.0650127\pi\)
0.202826 + 0.979215i \(0.434987\pi\)
\(384\) 13.0229 + 3.48947i 0.664572 + 0.178071i
\(385\) −1.82529 1.65727i −0.0930252 0.0844625i
\(386\) 2.65276 + 4.59472i 0.135022 + 0.233865i
\(387\) 5.06441 2.92394i 0.257438 0.148632i
\(388\) −2.28487 + 2.28487i −0.115997 + 0.115997i
\(389\) −6.25191 + 3.60954i −0.316984 + 0.183011i −0.650048 0.759894i \(-0.725251\pi\)
0.333063 + 0.942904i \(0.391918\pi\)
\(390\) 0.713733 + 2.69010i 0.0361413 + 0.136218i
\(391\) 19.2566i 0.973847i
\(392\) 6.08532 + 16.2551i 0.307355 + 0.821008i
\(393\) 1.08572 1.88052i 0.0547674 0.0948599i
\(394\) 13.9473i 0.702654i
\(395\) 0.574631 2.14455i 0.0289128 0.107904i
\(396\) −0.193185 0.720977i −0.00970792 0.0362304i
\(397\) 16.1760 16.1760i 0.811849 0.811849i −0.173062 0.984911i \(-0.555366\pi\)
0.984911 + 0.173062i \(0.0553661\pi\)
\(398\) −24.3540 + 24.3540i −1.22075 + 1.22075i
\(399\) −8.51908 + 5.48218i −0.426487 + 0.274452i
\(400\) 19.0898 + 11.0215i 0.954489 + 0.551075i
\(401\) 6.62242 24.7152i 0.330708 1.23422i −0.577740 0.816221i \(-0.696065\pi\)
0.908448 0.417998i \(-0.137268\pi\)
\(402\) −7.66151 13.2701i −0.382121 0.661854i
\(403\) 0.0386479 15.7371i 0.00192519 0.783923i
\(404\) −2.46778 1.42477i −0.122776 0.0708850i
\(405\) 0.481371 0.128983i 0.0239195 0.00640921i
\(406\) −15.7700 + 10.1483i −0.782653 + 0.503652i
\(407\) 0.243841 0.140782i 0.0120868 0.00697830i
\(408\) −2.51415 9.38293i −0.124469 0.464524i
\(409\) −2.26093 + 0.605814i −0.111796 + 0.0299556i −0.314283 0.949329i \(-0.601764\pi\)
0.202487 + 0.979285i \(0.435097\pi\)
\(410\) −3.80236 + 1.01884i −0.187785 + 0.0503169i
\(411\) −2.32692 8.68418i −0.114779 0.428359i
\(412\) −4.68766 + 2.70642i −0.230944 + 0.133336i
\(413\) 0.486012 + 10.0741i 0.0239151 + 0.495714i
\(414\) −7.35416 + 1.97054i −0.361437 + 0.0968468i
\(415\) −3.57453 2.06375i −0.175467 0.101306i
\(416\) −3.99665 6.96182i −0.195952 0.341331i
\(417\) −4.37470 7.57721i −0.214230 0.371057i
\(418\) −2.87024 + 10.7119i −0.140388 + 0.523935i
\(419\) 11.7770 + 6.79945i 0.575344 + 0.332175i 0.759281 0.650763i \(-0.225551\pi\)
−0.183937 + 0.982938i \(0.558884\pi\)
\(420\) 0.240895 0.467968i 0.0117545 0.0228345i
\(421\) 17.9357 17.9357i 0.874134 0.874134i −0.118786 0.992920i \(-0.537900\pi\)
0.992920 + 0.118786i \(0.0379002\pi\)
\(422\) −2.65948 + 2.65948i −0.129462 + 0.129462i
\(423\) 2.39236 + 8.92840i 0.116320 + 0.434113i
\(424\) −8.42170 + 31.4302i −0.408994 + 1.52639i
\(425\) 18.6151i 0.902965i
\(426\) −1.45941 + 2.52776i −0.0707084 + 0.122471i
\(427\) −6.59615 + 30.4108i −0.319210 + 1.47168i
\(428\) 5.72178i 0.276573i
\(429\) 3.38522 5.83026i 0.163440 0.281488i
\(430\) 3.90928 2.25702i 0.188522 0.108843i
\(431\) 6.24073 6.24073i 0.300605 0.300605i −0.540645 0.841251i \(-0.681820\pi\)
0.841251 + 0.540645i \(0.181820\pi\)
\(432\) −4.01751 + 2.31951i −0.193293 + 0.111598i
\(433\) 10.8154 + 18.7328i 0.519753 + 0.900239i 0.999736 + 0.0229615i \(0.00730952\pi\)
−0.479983 + 0.877278i \(0.659357\pi\)
\(434\) −12.0238 + 13.2428i −0.577162 + 0.635673i
\(435\) −2.20279 0.590237i −0.105616 0.0282997i
\(436\) 2.41761 + 2.41761i 0.115782 + 0.115782i
\(437\) 18.1797 + 4.87124i 0.869654 + 0.233023i
\(438\) 5.25497 9.10188i 0.251092 0.434905i
\(439\) 16.1671 + 28.0022i 0.771612 + 1.33647i 0.936679 + 0.350188i \(0.113882\pi\)
−0.165068 + 0.986282i \(0.552784\pi\)
\(440\) 0.598011 + 2.23181i 0.0285090 + 0.106397i
\(441\) −6.37095 2.90018i −0.303378 0.138104i
\(442\) −10.9859 + 18.9207i −0.522548 + 0.899968i
\(443\) 0.185670 0.321591i 0.00882147 0.0152792i −0.861581 0.507620i \(-0.830525\pi\)
0.870402 + 0.492341i \(0.163859\pi\)
\(444\) 0.0425043 + 0.0425043i 0.00201716 + 0.00201716i
\(445\) 6.16281 0.292145
\(446\) 1.01385 0.0480071
\(447\) −10.5464 10.5464i −0.498825 0.498825i
\(448\) 3.26933 15.0729i 0.154461 0.712126i
\(449\) 0.0242973 0.0906789i 0.00114666 0.00427940i −0.965350 0.260958i \(-0.915962\pi\)
0.966497 + 0.256679i \(0.0826282\pi\)
\(450\) −7.10918 + 1.90490i −0.335130 + 0.0897978i
\(451\) 8.25801 + 4.76777i 0.388855 + 0.224505i
\(452\) 4.01527i 0.188862i
\(453\) −5.62287 1.50664i −0.264185 0.0707883i
\(454\) 2.87319 0.134846
\(455\) 4.53091 1.43914i 0.212412 0.0674681i
\(456\) 9.49422 0.444607
\(457\) −25.9289 6.94763i −1.21290 0.324997i −0.405003 0.914315i \(-0.632730\pi\)
−0.807901 + 0.589319i \(0.799396\pi\)
\(458\) 23.4456i 1.09554i
\(459\) 3.39275 + 1.95881i 0.158360 + 0.0914293i
\(460\) −0.944520 + 0.253083i −0.0440385 + 0.0118001i
\(461\) −8.04498 + 30.0243i −0.374692 + 1.39837i 0.479102 + 0.877759i \(0.340962\pi\)
−0.853794 + 0.520610i \(0.825704\pi\)
\(462\) −7.29748 + 2.33763i −0.339509 + 0.108756i
\(463\) −9.36086 9.36086i −0.435036 0.435036i 0.455301 0.890337i \(-0.349531\pi\)
−0.890337 + 0.455301i \(0.849531\pi\)
\(464\) 21.2286 0.985511
\(465\) −2.17516 −0.100871
\(466\) −26.3125 26.3125i −1.21890 1.21890i
\(467\) 4.36513 7.56063i 0.201994 0.349864i −0.747177 0.664626i \(-0.768591\pi\)
0.949171 + 0.314761i \(0.101924\pi\)
\(468\) 1.38932 + 0.375926i 0.0642213 + 0.0173772i
\(469\) −22.0099 + 14.1638i −1.01632 + 0.654024i
\(470\) 1.84669 + 6.89194i 0.0851814 + 0.317901i
\(471\) 5.18091 + 8.97361i 0.238724 + 0.413482i
\(472\) 4.72612 8.18588i 0.217537 0.376786i
\(473\) −10.5620 2.83007i −0.485640 0.130127i
\(474\) −4.87948 4.87948i −0.224122 0.224122i
\(475\) 17.5741 + 4.70898i 0.806357 + 0.216063i
\(476\) 3.94033 1.26222i 0.180605 0.0578538i
\(477\) −6.56146 11.3648i −0.300428 0.520357i
\(478\) −3.85621 + 2.22638i −0.176379 + 0.101832i
\(479\) −10.6673 + 10.6673i −0.487401 + 0.487401i −0.907485 0.420084i \(-0.862000\pi\)
0.420084 + 0.907485i \(0.362000\pi\)
\(480\) −0.960889 + 0.554770i −0.0438584 + 0.0253217i
\(481\) −0.00133335 + 0.542930i −6.07954e−5 + 0.0247555i
\(482\) 34.6496i 1.57824i
\(483\) 3.96732 + 12.3850i 0.180520 + 0.563535i
\(484\) 1.49768 2.59406i 0.0680766 0.117912i
\(485\) 4.03402i 0.183175i
\(486\) 0.400893 1.49615i 0.0181849 0.0678668i
\(487\) −1.48935 5.55834i −0.0674890 0.251872i 0.923936 0.382546i \(-0.124953\pi\)
−0.991425 + 0.130674i \(0.958286\pi\)
\(488\) 20.6215 20.6215i 0.933491 0.933491i
\(489\) −6.45941 + 6.45941i −0.292105 + 0.292105i
\(490\) −4.91781 2.23868i −0.222164 0.101133i
\(491\) 9.09449 + 5.25071i 0.410428 + 0.236961i 0.690974 0.722880i \(-0.257182\pi\)
−0.280545 + 0.959841i \(0.590515\pi\)
\(492\) −0.526880 + 1.96634i −0.0237536 + 0.0886496i
\(493\) −8.96367 15.5255i −0.403703 0.699234i
\(494\) −15.0836 15.1579i −0.678644 0.681985i
\(495\) −0.806994 0.465918i −0.0362717 0.0209415i
\(496\) 19.5581 5.24057i 0.878183 0.235308i
\(497\) 4.43282 + 2.28188i 0.198839 + 0.102356i
\(498\) −11.1100 + 6.41436i −0.497851 + 0.287435i
\(499\) 7.26921 + 27.1291i 0.325414 + 1.21446i 0.913895 + 0.405952i \(0.133060\pi\)
−0.588480 + 0.808512i \(0.700274\pi\)
\(500\) −1.87384 + 0.502093i −0.0838005 + 0.0224543i
\(501\) 4.36602 1.16987i 0.195060 0.0522661i
\(502\) −8.19647 30.5897i −0.365827 1.36528i
\(503\) −6.05090 + 3.49349i −0.269796 + 0.155767i −0.628795 0.777571i \(-0.716452\pi\)
0.358999 + 0.933338i \(0.383118\pi\)
\(504\) 3.55010 + 5.51670i 0.158134 + 0.245733i
\(505\) −3.43622 + 0.920733i −0.152910 + 0.0409721i
\(506\) 12.3289 + 7.11808i 0.548085 + 0.316437i
\(507\) 6.44462 + 11.2901i 0.286216 + 0.501412i
\(508\) −3.72519 6.45222i −0.165279 0.286271i
\(509\) −7.37216 + 27.5133i −0.326765 + 1.21950i 0.585760 + 0.810484i \(0.300796\pi\)
−0.912525 + 0.409020i \(0.865871\pi\)
\(510\) 2.61891 + 1.51203i 0.115967 + 0.0669537i
\(511\) −15.9615 8.21649i −0.706097 0.363476i
\(512\) −8.96398 + 8.96398i −0.396156 + 0.396156i
\(513\) −2.70752 + 2.70752i −0.119540 + 0.119540i
\(514\) 1.91166 + 7.13442i 0.0843198 + 0.314686i
\(515\) −1.74898 + 6.52727i −0.0770691 + 0.287626i
\(516\) 2.33438i 0.102765i
\(517\) 8.64178 14.9680i 0.380065 0.658292i
\(518\) 0.414821 0.456874i 0.0182262 0.0200739i
\(519\) 16.4696i 0.722936i
\(520\) −4.30068 1.16369i −0.188597 0.0510313i
\(521\) −19.6339 + 11.3356i −0.860176 + 0.496623i −0.864071 0.503370i \(-0.832093\pi\)
0.00389533 + 0.999992i \(0.498760\pi\)
\(522\) −5.01200 + 5.01200i −0.219369 + 0.219369i
\(523\) 6.45318 3.72574i 0.282178 0.162915i −0.352231 0.935913i \(-0.614577\pi\)
0.634409 + 0.772998i \(0.281244\pi\)
\(524\) −0.433403 0.750676i −0.0189333 0.0327934i
\(525\) 3.83517 + 11.9724i 0.167380 + 0.522519i
\(526\) 45.3178 + 12.1429i 1.97595 + 0.529454i
\(527\) −12.0910 12.0910i −0.526692 0.526692i
\(528\) 8.37864 + 2.24505i 0.364634 + 0.0977033i
\(529\) 0.580504 1.00546i 0.0252393 0.0437158i
\(530\) −5.06487 8.77261i −0.220004 0.381058i
\(531\) 0.986638 + 3.68218i 0.0428165 + 0.159793i
\(532\) 0.194870 + 4.03928i 0.00844870 + 0.175125i
\(533\) −15.9462 + 9.15441i −0.690707 + 0.396522i
\(534\) 9.57733 16.5884i 0.414452 0.717851i
\(535\) 5.05101 + 5.05101i 0.218374 + 0.218374i
\(536\) 24.5293 1.05951
\(537\) 5.18994 0.223962
\(538\) −12.5502 12.5502i −0.541078 0.541078i
\(539\) 4.58896 + 12.2580i 0.197660 + 0.527991i
\(540\) 0.0514880 0.192156i 0.00221569 0.00826907i
\(541\) −31.2751 + 8.38015i −1.34462 + 0.360291i −0.858147 0.513403i \(-0.828384\pi\)
−0.486476 + 0.873694i \(0.661718\pi\)
\(542\) 39.6732 + 22.9053i 1.70411 + 0.983869i
\(543\) 23.2601i 0.998185i
\(544\) −8.42504 2.25748i −0.361221 0.0967888i
\(545\) 4.26838 0.182837
\(546\) 3.16753 14.4323i 0.135558 0.617647i
\(547\) 6.51126 0.278401 0.139201 0.990264i \(-0.455547\pi\)
0.139201 + 0.990264i \(0.455547\pi\)
\(548\) −3.46659 0.928871i −0.148086 0.0396794i
\(549\) 11.7615i 0.501968i
\(550\) 11.9182 + 6.88097i 0.508193 + 0.293405i
\(551\) 16.9248 4.53499i 0.721022 0.193197i
\(552\) 3.15447 11.7727i 0.134263 0.501077i
\(553\) −7.92340 + 8.72666i −0.336937 + 0.371095i
\(554\) −33.9571 33.9571i −1.44270 1.44270i
\(555\) 0.0750429 0.00318539
\(556\) −3.49263 −0.148120
\(557\) −19.9940 19.9940i −0.847173 0.847173i 0.142606 0.989780i \(-0.454452\pi\)
−0.989780 + 0.142606i \(0.954452\pi\)
\(558\) −3.38032 + 5.85488i −0.143100 + 0.247857i
\(559\) 14.9458 14.8726i 0.632139 0.629042i
\(560\) 3.31001 + 5.14362i 0.139874 + 0.217358i
\(561\) −1.89593 7.07569i −0.0800460 0.298736i
\(562\) −20.3060 35.1710i −0.856557 1.48360i
\(563\) 16.8095 29.1149i 0.708435 1.22705i −0.257002 0.966411i \(-0.582735\pi\)
0.965437 0.260635i \(-0.0839319\pi\)
\(564\) 3.56408 + 0.954992i 0.150075 + 0.0402124i
\(565\) 3.54456 + 3.54456i 0.149121 + 0.149121i
\(566\) 4.65961 + 1.24854i 0.195858 + 0.0524800i
\(567\) −2.58563 0.560827i −0.108586 0.0235525i
\(568\) −2.33624 4.04648i −0.0980264 0.169787i
\(569\) 0.0609060 0.0351641i 0.00255331 0.00147416i −0.498723 0.866762i \(-0.666197\pi\)
0.501276 + 0.865287i \(0.332864\pi\)
\(570\) −2.08997 + 2.08997i −0.0875390 + 0.0875390i
\(571\) −13.7331 + 7.92880i −0.574712 + 0.331810i −0.759029 0.651057i \(-0.774326\pi\)
0.184317 + 0.982867i \(0.440993\pi\)
\(572\) −1.33988 2.33396i −0.0560233 0.0975878i
\(573\) 19.0528i 0.795941i
\(574\) 20.4239 + 4.42998i 0.852478 + 0.184904i
\(575\) 11.6781 20.2270i 0.487010 0.843526i
\(576\) 5.82948i 0.242895i
\(577\) 1.91254 7.13771i 0.0796202 0.297147i −0.914621 0.404312i \(-0.867511\pi\)
0.994241 + 0.107166i \(0.0341775\pi\)
\(578\) −0.662399 2.47211i −0.0275522 0.102826i
\(579\) 2.42204 2.42204i 0.100657 0.100657i
\(580\) −0.643708 + 0.643708i −0.0267285 + 0.0267285i
\(581\) 11.8582 + 18.4272i 0.491962 + 0.764487i
\(582\) 10.8584 + 6.26908i 0.450094 + 0.259862i
\(583\) −6.35082 + 23.7016i −0.263024 + 0.981620i
\(584\) 8.41224 + 14.5704i 0.348101 + 0.602929i
\(585\) 1.55830 0.894592i 0.0644280 0.0369868i
\(586\) 14.7755 + 8.53061i 0.610368 + 0.352396i
\(587\) 29.1856 7.82025i 1.20462 0.322776i 0.399970 0.916528i \(-0.369021\pi\)
0.804648 + 0.593752i \(0.202354\pi\)
\(588\) −2.27420 + 1.62361i −0.0937863 + 0.0669565i
\(589\) 14.4735 8.35626i 0.596368 0.344314i
\(590\) 0.761598 + 2.84232i 0.0313545 + 0.117017i
\(591\) −8.69765 + 2.33053i −0.357773 + 0.0958651i
\(592\) −0.674751 + 0.180799i −0.0277321 + 0.00743079i
\(593\) −9.20475 34.3526i −0.377994 1.41069i −0.848921 0.528520i \(-0.822747\pi\)
0.470927 0.882172i \(-0.343919\pi\)
\(594\) −2.50822 + 1.44812i −0.102914 + 0.0594172i
\(595\) 2.36415 4.59265i 0.0969208 0.188280i
\(596\) −5.75089 + 1.54095i −0.235566 + 0.0631196i
\(597\) 19.2568 + 11.1179i 0.788127 + 0.455025i
\(598\) −23.8071 + 13.6672i −0.973543 + 0.558892i
\(599\) −13.8227 23.9416i −0.564779 0.978225i −0.997070 0.0764915i \(-0.975628\pi\)
0.432292 0.901734i \(-0.357705\pi\)
\(600\) 3.04939 11.3805i 0.124491 0.464606i
\(601\) −6.87190 3.96749i −0.280311 0.161837i 0.353253 0.935528i \(-0.385075\pi\)
−0.633564 + 0.773690i \(0.718409\pi\)
\(602\) −23.9372 + 1.15482i −0.975609 + 0.0470671i
\(603\) −6.99516 + 6.99516i −0.284865 + 0.284865i
\(604\) −1.64313 + 1.64313i −0.0668582 + 0.0668582i
\(605\) −0.967851 3.61207i −0.0393487 0.146852i
\(606\) −2.86173 + 10.6801i −0.116250 + 0.433851i
\(607\) 18.5507i 0.752950i −0.926427 0.376475i \(-0.877136\pi\)
0.926427 0.376475i \(-0.122864\pi\)
\(608\) 4.26248 7.38284i 0.172867 0.299414i
\(609\) 8.96367 + 8.13859i 0.363226 + 0.329792i
\(610\) 9.07883i 0.367591i
\(611\) 16.5928 + 28.9032i 0.671271 + 1.16930i
\(612\) 1.35433 0.781926i 0.0547457 0.0316075i
\(613\) 0.559180 0.559180i 0.0225851 0.0225851i −0.695724 0.718309i \(-0.744916\pi\)
0.718309 + 0.695724i \(0.244916\pi\)
\(614\) 4.16332 2.40369i 0.168018 0.0970051i
\(615\) 1.27071 + 2.20094i 0.0512401 + 0.0887504i
\(616\) 2.60019 11.9879i 0.104765 0.483006i
\(617\) −19.9976 5.35834i −0.805074 0.215719i −0.167263 0.985912i \(-0.553493\pi\)
−0.637810 + 0.770193i \(0.720160\pi\)
\(618\) 14.8514 + 14.8514i 0.597412 + 0.597412i
\(619\) 4.26865 + 1.14378i 0.171572 + 0.0459724i 0.343582 0.939123i \(-0.388360\pi\)
−0.172011 + 0.985095i \(0.555026\pi\)
\(620\) −0.434146 + 0.751963i −0.0174357 + 0.0301995i
\(621\) 2.45769 + 4.25685i 0.0986238 + 0.170821i
\(622\) 2.02297 + 7.54983i 0.0811138 + 0.302721i
\(623\) −29.0903 14.9748i −1.16548 0.599952i
\(624\) −11.8562 + 11.7981i −0.474629 + 0.472304i
\(625\) 10.6682 18.4778i 0.426727 0.739113i
\(626\) 23.5333 + 23.5333i 0.940580 + 0.940580i
\(627\) 7.15961 0.285927
\(628\) 4.13628 0.165056
\(629\) 0.417138 + 0.417138i 0.0166324 + 0.0166324i
\(630\) −1.99588 0.432909i −0.0795177 0.0172475i
\(631\) −0.378204 + 1.41148i −0.0150561 + 0.0561900i −0.973045 0.230615i \(-0.925926\pi\)
0.957989 + 0.286805i \(0.0925930\pi\)
\(632\) 10.6702 2.85908i 0.424439 0.113728i
\(633\) 2.10286 + 1.21409i 0.0835813 + 0.0482557i
\(634\) 14.2359i 0.565379i
\(635\) −8.98431 2.40734i −0.356531 0.0955323i
\(636\) −5.23847 −0.207719
\(637\) −24.8842 4.21629i −0.985948 0.167055i
\(638\) 13.2535 0.524710
\(639\) 1.82020 + 0.487720i 0.0720058 + 0.0192939i
\(640\) 6.71892i 0.265589i
\(641\) 31.8488 + 18.3879i 1.25795 + 0.726280i 0.972676 0.232165i \(-0.0745810\pi\)
0.285277 + 0.958445i \(0.407914\pi\)
\(642\) 21.4453 5.74626i 0.846380 0.226787i
\(643\) −1.34555 + 5.02165i −0.0530632 + 0.198035i −0.987369 0.158438i \(-0.949354\pi\)
0.934306 + 0.356473i \(0.116021\pi\)
\(644\) 5.07338 + 1.10042i 0.199919 + 0.0433628i
\(645\) −2.06072 2.06072i −0.0811408 0.0811408i
\(646\) −23.2348 −0.914162
\(647\) 32.3694 1.27257 0.636286 0.771453i \(-0.280470\pi\)
0.636286 + 0.771453i \(0.280470\pi\)
\(648\) 1.75331 + 1.75331i 0.0688764 + 0.0688764i
\(649\) 3.56398 6.17299i 0.139898 0.242311i
\(650\) −23.0140 + 13.2119i −0.902684 + 0.518213i
\(651\) 10.2674 + 5.28535i 0.402412 + 0.207149i
\(652\) 0.943796 + 3.52229i 0.0369619 + 0.137944i
\(653\) −13.5395 23.4511i −0.529843 0.917714i −0.999394 0.0348091i \(-0.988918\pi\)
0.469551 0.882905i \(-0.344416\pi\)
\(654\) 6.63329 11.4892i 0.259382 0.449263i
\(655\) −1.04527 0.280079i −0.0408420 0.0109436i
\(656\) −16.7283 16.7283i −0.653132 0.653132i
\(657\) −6.55409 1.75616i −0.255699 0.0685145i
\(658\) 8.02953 37.0192i 0.313024 1.44316i
\(659\) 7.42697 + 12.8639i 0.289314 + 0.501106i 0.973646 0.228064i \(-0.0732395\pi\)
−0.684332 + 0.729170i \(0.739906\pi\)
\(660\) −0.322140 + 0.185987i −0.0125393 + 0.00723955i
\(661\) −5.56955 + 5.56955i −0.216630 + 0.216630i −0.807077 0.590446i \(-0.798952\pi\)
0.590446 + 0.807077i \(0.298952\pi\)
\(662\) 32.0995 18.5327i 1.24758 0.720293i
\(663\) 13.6348 + 3.68935i 0.529533 + 0.143283i
\(664\) 20.5364i 0.796968i
\(665\) 3.73778 + 3.39373i 0.144945 + 0.131603i
\(666\) 0.116621 0.201993i 0.00451896 0.00782706i
\(667\) 22.4932i 0.870941i
\(668\) 0.466995 1.74285i 0.0180686 0.0674329i
\(669\) −0.169409 0.632245i −0.00654975 0.0244440i
\(670\) −5.39965 + 5.39965i −0.208607 + 0.208607i
\(671\) 15.5507 15.5507i 0.600329 0.600329i
\(672\) 5.88370 0.283852i 0.226969 0.0109498i
\(673\) −23.9408 13.8222i −0.922850 0.532808i −0.0383067 0.999266i \(-0.512196\pi\)
−0.884543 + 0.466458i \(0.845530\pi\)
\(674\) 10.6671 39.8103i 0.410883 1.53344i
\(675\) 2.37582 + 4.11505i 0.0914455 + 0.158388i
\(676\) 5.18934 + 0.0254885i 0.199590 + 0.000980327i
\(677\) −1.80840 1.04408i −0.0695025 0.0401273i 0.464846 0.885392i \(-0.346110\pi\)
−0.534349 + 0.845264i \(0.679443\pi\)
\(678\) 15.0493 4.03245i 0.577965 0.154865i
\(679\) 9.80212 19.0418i 0.376171 0.730757i
\(680\) −4.19239 + 2.42048i −0.160771 + 0.0928210i
\(681\) −0.480097 1.79175i −0.0183974 0.0686599i
\(682\) 12.2105 3.27180i 0.467566 0.125284i
\(683\) 5.91048 1.58371i 0.226158 0.0605989i −0.143960 0.989583i \(-0.545984\pi\)
0.370119 + 0.928985i \(0.379317\pi\)
\(684\) 0.395600 + 1.47640i 0.0151261 + 0.0564515i
\(685\) −3.88018 + 2.24022i −0.148254 + 0.0855945i
\(686\) 17.7739 + 22.5169i 0.678610 + 0.859698i
\(687\) −14.6209 + 3.91765i −0.557821 + 0.149468i
\(688\) 23.4939 + 13.5642i 0.895697 + 0.517131i
\(689\) −33.3747 33.5391i −1.27148 1.27774i
\(690\) 1.89712 + 3.28591i 0.0722222 + 0.125093i
\(691\) −11.5152 + 42.9755i −0.438060 + 1.63486i 0.295575 + 0.955320i \(0.404489\pi\)
−0.733635 + 0.679544i \(0.762178\pi\)
\(692\) −5.69362 3.28721i −0.216439 0.124961i
\(693\) 2.67714 + 4.16016i 0.101696 + 0.158031i
\(694\) 22.4691 22.4691i 0.852916 0.852916i
\(695\) −3.08319 + 3.08319i −0.116952 + 0.116952i
\(696\) −2.93673 10.9600i −0.111316 0.415438i
\(697\) −5.17082 + 19.2978i −0.195859 + 0.730954i
\(698\) 13.3617i 0.505749i
\(699\) −12.0120 + 20.8054i −0.454335 + 0.786931i
\(700\) 4.90438 + 1.06377i 0.185368 + 0.0402066i
\(701\) 44.7626i 1.69066i 0.534245 + 0.845329i \(0.320596\pi\)
−0.534245 + 0.845329i \(0.679404\pi\)
\(702\) 0.0137152 5.58473i 0.000517646 0.210782i
\(703\) −0.499333 + 0.288290i −0.0188327 + 0.0108731i
\(704\) −7.70758 + 7.70758i −0.290490 + 0.290490i
\(705\) 3.98930 2.30322i 0.150246 0.0867443i
\(706\) 1.05921 + 1.83461i 0.0398640 + 0.0690465i
\(707\) 18.4573 + 4.00341i 0.694157 + 0.150564i
\(708\) 1.46987 + 0.393851i 0.0552412 + 0.0148018i
\(709\) 13.0926 + 13.0926i 0.491703 + 0.491703i 0.908842 0.417140i \(-0.136967\pi\)
−0.417140 + 0.908842i \(0.636967\pi\)
\(710\) 1.40503 + 0.376477i 0.0527299 + 0.0141289i
\(711\) −2.22755 + 3.85822i −0.0835395 + 0.144695i
\(712\) 15.3315 + 26.5550i 0.574574 + 0.995191i
\(713\) −5.55277 20.7232i −0.207953 0.776090i
\(714\) −8.68802 13.5008i −0.325141 0.505255i
\(715\) −3.24316 0.877543i −0.121287 0.0328182i
\(716\) 1.03587 1.79418i 0.0387123 0.0670517i
\(717\) 2.03275 + 2.03275i 0.0759143 + 0.0759143i
\(718\) 47.3068 1.76547
\(719\) −37.3979 −1.39471 −0.697354 0.716727i \(-0.745639\pi\)
−0.697354 + 0.716727i \(0.745639\pi\)
\(720\) 1.63474 + 1.63474i 0.0609230 + 0.0609230i
\(721\) 24.1161 26.5609i 0.898129 0.989180i
\(722\) −1.73936 + 6.49136i −0.0647321 + 0.241584i
\(723\) 21.6078 5.78978i 0.803601 0.215324i
\(724\) −8.04110 4.64253i −0.298845 0.172538i
\(725\) 21.7439i 0.807550i
\(726\) −11.2267 3.00818i −0.416662 0.111644i
\(727\) −27.5337 −1.02117 −0.510584 0.859828i \(-0.670571\pi\)
−0.510584 + 0.859828i \(0.670571\pi\)
\(728\) 17.4729 + 15.9431i 0.647589 + 0.590889i
\(729\) −1.00000 −0.0370370
\(730\) −5.05918 1.35560i −0.187249 0.0501732i
\(731\) 22.9097i 0.847346i
\(732\) 4.06599 + 2.34750i 0.150283 + 0.0867661i
\(733\) −9.16124 + 2.45475i −0.338378 + 0.0906681i −0.424007 0.905659i \(-0.639377\pi\)
0.0856288 + 0.996327i \(0.472710\pi\)
\(734\) 2.01302 7.51270i 0.0743020 0.277299i
\(735\) −0.574318 + 3.44086i −0.0211841 + 0.126918i
\(736\) −7.73836 7.73836i −0.285240 0.285240i
\(737\) 18.4976 0.681369
\(738\) 7.89902 0.290767
\(739\) 28.8936 + 28.8936i 1.06287 + 1.06287i 0.997886 + 0.0649823i \(0.0206991\pi\)
0.0649823 + 0.997886i \(0.479301\pi\)
\(740\) 0.0149780 0.0259426i 0.000550602 0.000953670i
\(741\) −6.93218 + 11.9391i −0.254660 + 0.438593i
\(742\) 2.59148 + 53.7163i 0.0951362 + 1.97199i
\(743\) −12.0328 44.9072i −0.441442 1.64748i −0.725163 0.688577i \(-0.758236\pi\)
0.283721 0.958907i \(-0.408431\pi\)
\(744\) −5.41126 9.37258i −0.198387 0.343616i
\(745\) −3.71641 + 6.43701i −0.136159 + 0.235834i
\(746\) −8.77226 2.35052i −0.321175 0.0860586i
\(747\) 5.85648 + 5.85648i 0.214277 + 0.214277i
\(748\) −2.82451 0.756824i −0.103274 0.0276722i
\(749\) −11.5690 36.1156i −0.422724 1.31964i
\(750\) 3.76371 + 6.51893i 0.137431 + 0.238038i
\(751\) −5.61614 + 3.24248i −0.204936 + 0.118320i −0.598956 0.800782i \(-0.704417\pi\)
0.394020 + 0.919102i \(0.371084\pi\)
\(752\) −30.3208 + 30.3208i −1.10569 + 1.10569i
\(753\) −17.7064 + 10.2228i −0.645256 + 0.372539i
\(754\) −12.8325 + 22.1009i −0.467330 + 0.804869i
\(755\) 2.90102i 0.105579i
\(756\) −0.709952 + 0.781926i −0.0258207 + 0.0284384i
\(757\) −24.5681 + 42.5532i −0.892943 + 1.54662i −0.0566137 + 0.998396i \(0.518030\pi\)
−0.836330 + 0.548227i \(0.815303\pi\)
\(758\) 24.1852i 0.878444i
\(759\) 2.37880 8.87779i 0.0863448 0.322243i
\(760\) −1.22459 4.57024i −0.0444206 0.165780i
\(761\) −26.7729 + 26.7729i −0.970518 + 0.970518i −0.999578 0.0290600i \(-0.990749\pi\)
0.0290600 + 0.999578i \(0.490749\pi\)
\(762\) −20.4419 + 20.4419i −0.740532 + 0.740532i
\(763\) −20.1481 10.3716i −0.729408 0.375476i
\(764\) 6.58662 + 3.80279i 0.238296 + 0.137580i
\(765\) 0.505305 1.88582i 0.0182693 0.0681821i
\(766\) −25.3366 43.8843i −0.915450 1.58561i
\(767\) 6.84307 + 11.9201i 0.247089 + 0.430408i
\(768\) −7.98836 4.61208i −0.288255 0.166424i
\(769\) −28.1795 + 7.55069i −1.01618 + 0.272285i −0.728210 0.685355i \(-0.759647\pi\)
−0.287971 + 0.957639i \(0.592981\pi\)
\(770\) 2.06652 + 3.21128i 0.0744721 + 0.115726i
\(771\) 4.12966 2.38426i 0.148726 0.0858670i
\(772\) −0.353889 1.32073i −0.0127367 0.0475342i
\(773\) −26.2056 + 7.02178i −0.942551 + 0.252556i −0.697198 0.716878i \(-0.745570\pi\)
−0.245352