Properties

Label 273.2.cg.b.115.3
Level $273$
Weight $2$
Character 273.115
Analytic conductor $2.180$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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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 115.3
Character \(\chi\) \(=\) 273.115
Dual form 273.2.cg.b.19.3

$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.49615 + 0.400893i −1.05794 + 0.283474i −0.745529 0.666473i \(-0.767803\pi\)
−0.312410 + 0.949947i \(0.601136\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 0.345704 0.199592i 0.172852 0.0997962i
\(5\) 0.481371 + 0.128983i 0.215276 + 0.0576829i 0.364845 0.931068i \(-0.381122\pi\)
−0.149569 + 0.988751i \(0.547789\pi\)
\(6\) 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 −0.479106 0.877757i \(-0.659039\pi\)
0.877757 + 0.479106i \(0.159039\pi\)
\(12\) −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 0.524512 0.851403i \(-0.324248\pi\)
−0.999593 + 0.0285396i \(0.990914\pi\)
\(18\) 1.49615 0.400893i 0.352646 0.0944913i
\(19\) −2.70752 + 2.70752i −0.621147 + 0.621147i −0.945825 0.324678i \(-0.894744\pi\)
0.324678 + 0.945825i \(0.394744\pi\)
\(20\) 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 −0.0144528 0.999896i \(-0.504601\pi\)
−0.873161 + 0.487431i \(0.837934\pi\)
\(24\) −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 0.571530 0.820581i \(-0.306350\pi\)
−0.996409 + 0.0846692i \(0.973017\pi\)
\(30\) 0.771912i 0.140931i
\(31\) −1.12967 4.21599i −0.202895 0.757214i −0.990081 0.140498i \(-0.955130\pi\)
0.787186 0.616716i \(-0.211537\pi\)
\(32\) 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 0.969055 0.246843i \(-0.0793933\pi\)
−0.962648 + 0.270755i \(0.912727\pi\)
\(38\) 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 0.622060 0.782969i \(-0.286296\pi\)
0.147235 + 0.989101i \(0.452963\pi\)
\(42\) −1.87564 3.64366i −0.289418 0.562229i
\(43\) −5.06441 2.92394i −0.772315 0.445896i 0.0613847 0.998114i \(-0.480448\pi\)
−0.833700 + 0.552218i \(0.813782\pi\)
\(44\) 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 0.538955 + 0.842335i \(0.318819\pi\)
−0.887916 + 0.460006i \(0.847847\pi\)
\(48\) 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 0.0754580 0.997149i \(-0.475958\pi\)
0.825827 0.563923i \(-0.190709\pi\)
\(54\) −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 −0.999939 0.0110341i \(-0.996488\pi\)
0.871490 + 0.490414i \(0.163154\pi\)
\(60\) −0.0514880 0.192156i −0.00664708 0.0248072i
\(61\) 11.7615i 1.50590i 0.658076 + 0.752951i \(0.271370\pi\)
−0.658076 + 0.752951i \(0.728630\pi\)
\(62\) 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 0.990695 0.136101i \(-0.0434570\pi\)
−0.136101 + 0.990695i \(0.543457\pi\)
\(68\) −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 −0.365205 0.930927i \(-0.619001\pi\)
0.149187 + 0.988809i \(0.452334\pi\)
\(72\) −1.75331 + 1.75331i −0.206629 + 0.206629i
\(73\) 6.55409 1.75616i 0.767098 0.205543i 0.146009 0.989283i \(-0.453357\pi\)
0.621089 + 0.783740i \(0.286690\pi\)
\(74\) −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 0.963696 0.267001i \(-0.0860327\pi\)
−0.713078 + 0.701085i \(0.752699\pi\)
\(80\) −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 −0.951251 0.308418i \(-0.900200\pi\)
0.308418 + 0.951251i \(0.400200\pi\)
\(84\) 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 0.437607 0.899167i \(-0.355826\pi\)
0.828562 + 0.559898i \(0.189160\pi\)
\(90\) 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 −0.986956 0.160990i \(-0.948531\pi\)
0.774234 0.632899i \(-0.218135\pi\)
\(98\) −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 −0.978451 0.206478i \(-0.933800\pi\)
0.310410 0.950603i \(-0.399534\pi\)
\(104\) −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 −0.278058 0.960564i \(-0.589691\pi\)
0.970902 0.239477i \(-0.0769760\pi\)
\(108\) 0.199592 + 0.345704i 0.0192058 + 0.0332654i
\(109\) 8.27315 2.21678i 0.792424 0.212329i 0.160169 0.987090i \(-0.448796\pi\)
0.632255 + 0.774760i \(0.282129\pi\)
\(110\) −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 −0.526406 0.850233i \(-0.676461\pi\)
0.999527 + 0.0307647i \(0.00979426\pi\)
\(114\) −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 −0.997443 0.0714604i \(-0.977234\pi\)
−0.436835 + 0.899542i \(0.643901\pi\)
\(128\) 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 −0.579896 0.814690i \(-0.696907\pi\)
0.415594 + 0.909550i \(0.363574\pi\)
\(132\) −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 −0.132000 0.991250i \(-0.542140\pi\)
−0.609940 + 0.792448i \(0.708807\pi\)
\(138\) 1.97054 7.35416i 0.167744 0.626028i
\(139\) −7.57721 4.37470i −0.642690 0.371057i 0.142960 0.989729i \(-0.454338\pi\)
−0.785650 + 0.618671i \(0.787671\pi\)
\(140\) −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 0.127808 0.991799i \(-0.459206\pi\)
−0.991799 + 0.127808i \(0.959206\pi\)
\(150\) 1.90490 7.10918i 0.155534 0.580462i
\(151\) −1.50664 5.62287i −0.122609 0.457583i 0.877134 0.480245i \(-0.159452\pi\)
−0.999743 + 0.0226626i \(0.992786\pi\)
\(152\) 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 0.813342 0.581786i \(-0.197646\pi\)
−0.0971703 + 0.995268i \(0.530979\pi\)
\(158\) −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 −0.407338 0.913278i \(-0.633543\pi\)
0.913278 + 0.407338i \(0.133543\pi\)
\(164\) 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 −0.996303 0.0859038i \(-0.972622\pi\)
0.905776 + 0.423757i \(0.139289\pi\)
\(168\) 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 \(0.0621322\pi\)
−0.981010 + 0.193957i \(0.937868\pi\)
\(180\) −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 −0.788884 0.614542i \(-0.789341\pi\)
0.614542 + 0.788884i \(0.289341\pi\)
\(194\) 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 −0.831862 0.554983i \(-0.812725\pi\)
0.997905 0.0646986i \(-0.0206086\pi\)
\(198\) 1.44812 2.50822i 0.102914 0.178252i
\(199\) 11.1179 + 19.2568i 0.788127 + 1.36508i 0.927113 + 0.374782i \(0.122282\pi\)
−0.138986 + 0.990294i \(0.544384\pi\)
\(200\) −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 0.904786 0.425867i \(-0.140031\pi\)
−0.821204 + 0.570634i \(0.806697\pi\)
\(212\) 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 0.237588 0.971366i \(-0.423643\pi\)
−0.279926 + 0.960022i \(0.590310\pi\)
\(224\) −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 0.198867 0.980026i \(-0.436274\pi\)
−0.317789 + 0.948161i \(0.602941\pi\)
\(228\) 1.47640 + 0.395600i 0.0977769 + 0.0261993i
\(229\) 3.91765 14.6209i 0.258885 0.966174i −0.707002 0.707211i \(-0.749953\pi\)
0.965887 0.258962i \(-0.0833805\pi\)
\(230\) 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 0.372982 0.927839i \(-0.378335\pi\)
0.990023 + 0.140907i \(0.0450020\pi\)
\(234\) −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 0.769788 0.638300i \(-0.220362\pi\)
−0.638300 + 0.769788i \(0.720362\pi\)
\(240\) 1.63474 + 1.63474i 0.105522 + 0.105522i
\(241\) −5.78978 + 21.6078i −0.372953 + 1.39188i 0.483361 + 0.875421i \(0.339416\pi\)
−0.856313 + 0.516457i \(0.827251\pi\)
\(242\) −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 −0.338986 0.940791i \(-0.610084\pi\)
0.984242 0.176825i \(-0.0565827\pi\)
\(252\) 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 −0.930757 0.365639i \(-0.880851\pi\)
0.782031 + 0.623240i \(0.214184\pi\)
\(258\) 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 −0.165978 0.986130i \(-0.553078\pi\)
0.771024 + 0.636806i \(0.219745\pi\)
\(270\) 0.771912i 0.0469771i
\(271\) −28.5679 + 7.65475i −1.73538 + 0.464993i −0.981411 0.191919i \(-0.938529\pi\)
−0.753967 + 0.656912i \(0.771862\pi\)
\(272\) 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 0.624653 0.780903i \(-0.285241\pi\)
0.988608 0.150514i \(-0.0480928\pi\)
\(278\) 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 0.112327 0.993671i \(-0.464169\pi\)
0.993671 0.112327i \(-0.0358305\pi\)
\(282\) −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 −0.555840 0.831289i \(-0.687603\pi\)
−0.0657272 + 0.997838i \(0.520937\pi\)
\(294\) 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 0.641701 0.766955i \(-0.278229\pi\)
−0.766955 + 0.641701i \(0.778229\pi\)
\(308\) −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 −0.928652 0.370953i \(-0.879031\pi\)
0.785581 + 0.618759i \(0.212364\pi\)
\(312\) 4.48907 + 7.73139i 0.254144 + 0.437704i
\(313\) −18.6079 + 10.7433i −1.05178 + 0.607245i −0.923147 0.384447i \(-0.874392\pi\)
−0.128632 + 0.991692i \(0.541059\pi\)
\(314\) −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 −0.866396 0.499358i \(-0.833569\pi\)
1.00000 0.000741159i \(0.000235918\pi\)
\(318\) 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 0.0676566 0.997709i \(-0.478448\pi\)
−0.997709 + 0.0676566i \(0.978448\pi\)
\(332\) −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 \(-0.741965\pi\)
0.689035 0.724728i \(-0.258035\pi\)
\(338\) −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 −0.998228 0.0595067i \(-0.981047\pi\)
0.447580 0.894244i \(-0.352286\pi\)
\(348\) −0.913352 + 1.58197i −0.0489608 + 0.0848026i
\(349\) −2.23268 + 8.33248i −0.119513 + 0.446027i −0.999585 0.0288126i \(-0.990827\pi\)
0.880072 + 0.474840i \(0.157494\pi\)
\(350\) −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 −0.732375 0.680902i \(-0.761588\pi\)
0.680902 + 0.732375i \(0.261588\pi\)
\(354\) −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 −0.625286 0.780395i \(-0.715018\pi\)
−0.931712 + 0.363199i \(0.881685\pi\)
\(360\) −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 \(-0.958163\pi\)
0.991375 0.131056i \(-0.0418368\pi\)
\(368\) 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 0.781062 + 0.624453i \(0.214678\pi\)
−0.988646 + 0.150261i \(0.951989\pi\)
\(380\) −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 0.202826 0.979215i \(-0.434987\pi\)
0.979215 0.202826i \(-0.0650127\pi\)
\(384\) 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 0.333063 0.942904i \(-0.391918\pi\)
−0.650048 + 0.759894i \(0.725251\pi\)
\(390\) 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 0.984911 0.173062i \(-0.0553661\pi\)
−0.173062 + 0.984911i \(0.555366\pi\)
\(398\) −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 0.908448 + 0.417998i \(0.137268\pi\)
−0.577740 + 0.816221i \(0.696065\pi\)
\(402\) −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 0.202487 0.979285i \(-0.435097\pi\)
−0.314283 + 0.949329i \(0.601764\pi\)
\(410\) −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 −0.183937 0.982938i \(-0.558884\pi\)
0.759281 + 0.650763i \(0.225551\pi\)
\(420\) 0.240895 + 0.467968i 0.0117545 + 0.0228345i
\(421\) 17.9357 + 17.9357i 0.874134 + 0.874134i 0.992920 0.118786i \(-0.0379002\pi\)
−0.118786 + 0.992920i \(0.537900\pi\)
\(422\) −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 0.841251 0.540645i \(-0.181820\pi\)
−0.540645 + 0.841251i \(0.681820\pi\)
\(432\) −4.01751 2.31951i −0.193293 0.111598i
\(433\) 10.8154 18.7328i 0.519753 0.900239i −0.479983 0.877278i \(-0.659357\pi\)
0.999736 0.0229615i \(-0.00730952\pi\)
\(434\) −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 −0.165068 0.986282i \(-0.552784\pi\)
0.936679 0.350188i \(-0.113882\pi\)
\(440\) 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 0.870402 0.492341i \(-0.163859\pi\)
−0.861581 + 0.507620i \(0.830525\pi\)
\(444\) 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 0.966497 0.256679i \(-0.0826282\pi\)
−0.965350 + 0.260958i \(0.915962\pi\)
\(450\) −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 −0.807901 0.589319i \(-0.799396\pi\)
−0.405003 + 0.914315i \(0.632730\pi\)
\(458\) 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 −0.853794 0.520610i \(-0.825704\pi\)
0.479102 0.877759i \(-0.340962\pi\)
\(462\) −7.29748 2.33763i −0.339509 0.108756i
\(463\) −9.36086 + 9.36086i −0.435036 + 0.435036i −0.890337 0.455301i \(-0.849531\pi\)
0.455301 + 0.890337i \(0.349531\pi\)
\(464\) 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 0.949171 0.314761i \(-0.101924\pi\)
−0.747177 + 0.664626i \(0.768591\pi\)
\(468\) 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 0.420084 0.907485i \(-0.362000\pi\)
−0.907485 + 0.420084i \(0.862000\pi\)
\(480\) −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 −0.991425 0.130674i \(-0.958286\pi\)
0.923936 + 0.382546i \(0.124953\pi\)
\(488\) 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 −0.280545 0.959841i \(-0.590515\pi\)
0.690974 + 0.722880i \(0.257182\pi\)
\(492\) −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 −0.588480 0.808512i \(-0.700274\pi\)
0.913895 0.405952i \(-0.133060\pi\)
\(500\) −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 0.358999 0.933338i \(-0.383118\pi\)
−0.628795 + 0.777571i \(0.716452\pi\)
\(504\) 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 −0.912525 0.409020i \(-0.865871\pi\)
0.585760 0.810484i \(-0.300796\pi\)
\(510\) 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 0.00389533 0.999992i \(-0.498760\pi\)
−0.864071 + 0.503370i \(0.832093\pi\)
\(522\) −5.01200 5.01200i −0.219369 0.219369i
\(523\) 6.45318 + 3.72574i 0.282178 + 0.162915i 0.634409 0.772998i \(-0.281244\pi\)
−0.352231 + 0.935913i \(0.614577\pi\)
\(524\) −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 −0.486476 0.873694i \(-0.661718\pi\)
−0.858147 + 0.513403i \(0.828384\pi\)
\(542\) 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 −0.989780 0.142606i \(-0.954452\pi\)
0.142606 + 0.989780i \(0.454452\pi\)
\(558\) −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 0.965437 + 0.260635i \(0.0839319\pi\)
−0.257002 + 0.966411i \(0.582735\pi\)
\(564\) 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 0.501276 0.865287i \(-0.332864\pi\)
−0.498723 + 0.866762i \(0.666197\pi\)
\(570\) −2.08997 2.08997i −0.0875390 0.0875390i
\(571\) −13.7331 7.92880i −0.574712 0.331810i 0.184317 0.982867i \(-0.440993\pi\)
−0.759029 + 0.651057i \(0.774326\pi\)
\(572\) −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 0.994241 0.107166i \(-0.0341775\pi\)
−0.914621 + 0.404312i \(0.867511\pi\)
\(578\) −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 0.804648 0.593752i \(-0.202354\pi\)
0.399970 + 0.916528i \(0.369021\pi\)
\(588\) −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 0.470927 + 0.882172i \(0.343919\pi\)
−0.848921 + 0.528520i \(0.822747\pi\)
\(594\) −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 0.432292 + 0.901734i \(0.357705\pi\)
−0.997070 + 0.0764915i \(0.975628\pi\)
\(600\) 3.04939 + 11.3805i 0.124491 + 0.464606i
\(601\) −6.87190 + 3.96749i −0.280311 + 0.161837i −0.633564 0.773690i \(-0.718409\pi\)
0.353253 + 0.935528i \(0.385075\pi\)
\(602\) −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 \(0.122864\pi\)
−0.926427 + 0.376475i \(0.877136\pi\)
\(608\) 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 0.718309 0.695724i \(-0.244916\pi\)
−0.695724 + 0.718309i \(0.744916\pi\)
\(614\) 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 −0.637810 0.770193i \(-0.720160\pi\)
−0.167263 + 0.985912i \(0.553493\pi\)
\(618\) 14.8514 14.8514i 0.597412 0.597412i
\(619\) 4.26865 1.14378i 0.171572 0.0459724i −0.172011 0.985095i \(-0.555026\pi\)
0.343582 + 0.939123i \(0.388360\pi\)
\(620\) −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 0.957989 0.286805i \(-0.0925930\pi\)
−0.973045 + 0.230615i \(0.925926\pi\)
\(632\) 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 0.285277 0.958445i \(-0.407914\pi\)
0.972676 + 0.232165i \(0.0745810\pi\)
\(642\) 21.4453 + 5.74626i 0.846380 + 0.226787i
\(643\) −1.34555 5.02165i −0.0530632 0.198035i 0.934306 0.356473i \(-0.116021\pi\)
−0.987369 + 0.158438i \(0.949354\pi\)
\(644\) 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 0.469551 + 0.882905i \(0.344416\pi\)
−0.999394 + 0.0348091i \(0.988918\pi\)
\(654\) 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 −0.684332 0.729170i \(-0.739906\pi\)
0.973646 + 0.228064i \(0.0732395\pi\)
\(660\) −0.322140 0.185987i −0.0125393 0.00723955i
\(661\) −5.56955 5.56955i −0.216630 0.216630i 0.590446 0.807077i \(-0.298952\pi\)
−0.807077 + 0.590446i \(0.798952\pi\)
\(662\) 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 −0.884543 0.466458i \(-0.845530\pi\)
−0.0383067 + 0.999266i \(0.512196\pi\)
\(674\) 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 −0.534349 0.845264i \(-0.679443\pi\)
0.464846 + 0.885392i \(0.346110\pi\)
\(678\) 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 0.370119 0.928985i \(-0.379317\pi\)
−0.143960 + 0.989583i \(0.545984\pi\)
\(684\) 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 −0.733635 0.679544i \(-0.762178\pi\)
0.295575 0.955320i \(-0.404489\pi\)
\(692\) −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 \(-0.679404\pi\)
0.534245 0.845329i \(-0.320596\pi\)
\(702\) 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 −0.417140 0.908842i \(-0.636967\pi\)
0.908842 + 0.417140i \(0.136967\pi\)
\(710\) 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 0.0856288 0.996327i \(-0.472710\pi\)
−0.424007 + 0.905659i \(0.639377\pi\)
\(734\) 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 0.0649823 0.997886i \(-0.479301\pi\)
0.997886 0.0649823i \(-0.0206991\pi\)
\(740\) 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 0.283721 + 0.958907i \(0.408431\pi\)
−0.725163 + 0.688577i \(0.758236\pi\)
\(744\) −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 0.394020 0.919102i \(-0.371084\pi\)
−0.598956 + 0.800782i \(0.704417\pi\)
\(752\) −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 −0.836330 0.548227i \(-0.815303\pi\)
−0.0566137 0.998396i \(-0.518030\pi\)
\(758\) 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 0.0290600 0.999578i \(-0.490749\pi\)
−0.999578 + 0.0290600i \(0.990749\pi\)
\(762\) −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 −0.287971 0.957639i \(-0.592981\pi\)
−0.728210 + 0.685355i \(0.759647\pi\)
\(770\) 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 −0.245352 0.969434i \(-0.578904\pi\)