Properties

Label 95.2.e.c.26.2
Level $95$
Weight $2$
Character 95.26
Analytic conductor $0.759$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 95 = 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 95.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.758578819202\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{3})\)
Coefficient field: 8.0.4601315889.1
Defining polynomial: \( x^{8} - x^{7} + 6x^{6} - 3x^{5} + 26x^{4} - 14x^{3} + 31x^{2} + 12x + 9 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 26.2
Root \(0.689667 + 1.19454i\) of defining polynomial
Character \(\chi\) \(=\) 95.26
Dual form 95.2.e.c.11.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.548719 - 0.950409i) q^{2} +(0.189667 + 0.328513i) q^{3} +(0.397815 - 0.689035i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(0.208148 - 0.360522i) q^{6} +1.89307 q^{7} -3.06803 q^{8} +(1.42805 - 2.47346i) q^{9} +O(q^{10})\) \(q+(-0.548719 - 0.950409i) q^{2} +(0.189667 + 0.328513i) q^{3} +(0.397815 - 0.689035i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(0.208148 - 0.360522i) q^{6} +1.89307 q^{7} -3.06803 q^{8} +(1.42805 - 2.47346i) q^{9} +(-0.548719 + 0.950409i) q^{10} +0.134400 q^{11} +0.301809 q^{12} +(-1.75687 + 3.04298i) q^{13} +(-1.03876 - 1.79919i) q^{14} +(0.189667 - 0.328513i) q^{15} +(0.887858 + 1.53781i) q^{16} +(0.830615 + 1.43867i) q^{17} -3.13440 q^{18} +(2.10596 + 3.81640i) q^{19} -0.795629 q^{20} +(0.359052 + 0.621897i) q^{21} +(-0.0737478 - 0.127735i) q^{22} +(-2.68492 + 4.65042i) q^{23} +(-0.581904 - 1.00789i) q^{24} +(-0.500000 + 0.866025i) q^{25} +3.85611 q^{26} +2.22142 q^{27} +(0.753090 - 1.30439i) q^{28} +(-2.48530 + 4.30466i) q^{29} -0.416295 q^{30} +6.56472 q^{31} +(-2.09366 + 3.62633i) q^{32} +(0.0254912 + 0.0441521i) q^{33} +(0.911548 - 1.57885i) q^{34} +(-0.946534 - 1.63944i) q^{35} +(-1.13620 - 1.96796i) q^{36} -1.69819 q^{37} +(2.47156 - 4.09566i) q^{38} -1.33288 q^{39} +(1.53402 + 2.65699i) q^{40} +(-5.31637 - 9.20823i) q^{41} +(0.394038 - 0.682493i) q^{42} +(-4.25392 - 7.36801i) q^{43} +(0.0534662 - 0.0926063i) q^{44} -2.85611 q^{45} +5.89307 q^{46} +(5.55771 - 9.62623i) q^{47} +(-0.336794 + 0.583345i) q^{48} -3.41630 q^{49} +1.09744 q^{50} +(-0.315080 + 0.545735i) q^{51} +(1.39781 + 2.42109i) q^{52} +(0.132424 - 0.229365i) q^{53} +(-1.21894 - 2.11126i) q^{54} +(-0.0672000 - 0.116394i) q^{55} -5.80799 q^{56} +(-0.854305 + 1.41568i) q^{57} +5.45492 q^{58} +(3.44833 + 5.97269i) q^{59} +(-0.150905 - 0.261374i) q^{60} +(-4.58794 + 7.94655i) q^{61} +(-3.60219 - 6.23917i) q^{62} +(2.70340 - 4.68243i) q^{63} +8.14676 q^{64} +3.51373 q^{65} +(0.0279750 - 0.0484542i) q^{66} +(1.47677 - 2.55784i) q^{67} +1.32172 q^{68} -2.03696 q^{69} +(-1.03876 + 1.79919i) q^{70} +(-0.664176 - 1.15039i) q^{71} +(-4.38131 + 7.58865i) q^{72} +(3.17119 + 5.49266i) q^{73} +(0.931830 + 1.61398i) q^{74} -0.379334 q^{75} +(3.46742 + 0.0671384i) q^{76} +0.254428 q^{77} +(0.731376 + 1.26678i) q^{78} +(0.733639 + 1.27070i) q^{79} +(0.887858 - 1.53781i) q^{80} +(-3.86283 - 6.69062i) q^{81} +(-5.83439 + 10.1055i) q^{82} +7.44736 q^{83} +0.571345 q^{84} +(0.830615 - 1.43867i) q^{85} +(-4.66842 + 8.08593i) q^{86} -1.88551 q^{87} -0.412343 q^{88} +(-4.86804 + 8.43169i) q^{89} +(1.56720 + 2.71447i) q^{90} +(-3.32587 + 5.76057i) q^{91} +(2.13620 + 3.70001i) q^{92} +(1.24511 + 2.15659i) q^{93} -12.1985 q^{94} +(2.25212 - 3.73202i) q^{95} -1.58839 q^{96} +(-8.73447 - 15.1285i) q^{97} +(1.87459 + 3.24688i) q^{98} +(0.191930 - 0.332433i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8 q - q^{2} - 3 q^{3} - 5 q^{4} - 4 q^{5} - 2 q^{6} - 8 q^{7} + 24 q^{8} - q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 8 q - q^{2} - 3 q^{3} - 5 q^{4} - 4 q^{5} - 2 q^{6} - 8 q^{7} + 24 q^{8} - q^{9} - q^{10} - 4 q^{11} + 12 q^{12} - 7 q^{13} + q^{14} - 3 q^{15} - 7 q^{16} + q^{17} - 20 q^{18} + 5 q^{19} + 10 q^{20} + 4 q^{21} - 2 q^{22} - 2 q^{23} - 23 q^{24} - 4 q^{25} + 6 q^{26} + 24 q^{27} + 19 q^{28} + q^{29} + 4 q^{30} - 30 q^{32} - 19 q^{33} - 15 q^{34} + 4 q^{35} + 7 q^{36} - 4 q^{37} + 13 q^{38} + 30 q^{39} - 12 q^{40} + 8 q^{41} + 15 q^{42} - q^{43} + 12 q^{44} + 2 q^{45} + 24 q^{46} + 12 q^{47} - 23 q^{48} - 20 q^{49} + 2 q^{50} - 22 q^{51} + 3 q^{52} + 5 q^{53} + 34 q^{54} + 2 q^{55} - 82 q^{56} + 7 q^{57} - 54 q^{58} + 5 q^{59} - 6 q^{60} - 37 q^{62} + 3 q^{63} + 112 q^{64} + 14 q^{65} + 31 q^{66} - 4 q^{67} + 32 q^{68} - 18 q^{69} + q^{70} - 20 q^{71} - 17 q^{72} + 20 q^{73} - 25 q^{74} + 6 q^{75} + 63 q^{76} + 28 q^{77} + 18 q^{78} - 17 q^{79} - 7 q^{80} - 12 q^{81} - 21 q^{82} + 2 q^{83} - 40 q^{84} + q^{85} - 8 q^{86} - 32 q^{87} - 14 q^{88} - 11 q^{89} + 10 q^{90} - 6 q^{91} + q^{92} + 8 q^{93} - 62 q^{94} - 4 q^{95} + 42 q^{96} - q^{97} - 9 q^{98} - 38 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.548719 0.950409i −0.388003 0.672041i 0.604178 0.796850i \(-0.293502\pi\)
−0.992181 + 0.124809i \(0.960168\pi\)
\(3\) 0.189667 + 0.328513i 0.109504 + 0.189667i 0.915570 0.402160i \(-0.131740\pi\)
−0.806065 + 0.591827i \(0.798407\pi\)
\(4\) 0.397815 0.689035i 0.198907 0.344518i
\(5\) −0.500000 0.866025i −0.223607 0.387298i
\(6\) 0.208148 0.360522i 0.0849759 0.147183i
\(7\) 1.89307 0.715512 0.357756 0.933815i \(-0.383542\pi\)
0.357756 + 0.933815i \(0.383542\pi\)
\(8\) −3.06803 −1.08471
\(9\) 1.42805 2.47346i 0.476018 0.824487i
\(10\) −0.548719 + 0.950409i −0.173520 + 0.300546i
\(11\) 0.134400 0.0405231 0.0202615 0.999795i \(-0.493550\pi\)
0.0202615 + 0.999795i \(0.493550\pi\)
\(12\) 0.301809 0.0871248
\(13\) −1.75687 + 3.04298i −0.487267 + 0.843972i −0.999893 0.0146407i \(-0.995340\pi\)
0.512626 + 0.858612i \(0.328673\pi\)
\(14\) −1.03876 1.79919i −0.277621 0.480854i
\(15\) 0.189667 0.328513i 0.0489718 0.0848216i
\(16\) 0.887858 + 1.53781i 0.221964 + 0.384454i
\(17\) 0.830615 + 1.43867i 0.201454 + 0.348928i 0.948997 0.315285i \(-0.102100\pi\)
−0.747543 + 0.664213i \(0.768767\pi\)
\(18\) −3.13440 −0.738785
\(19\) 2.10596 + 3.81640i 0.483141 + 0.875543i
\(20\) −0.795629 −0.177908
\(21\) 0.359052 + 0.621897i 0.0783516 + 0.135709i
\(22\) −0.0737478 0.127735i −0.0157231 0.0272332i
\(23\) −2.68492 + 4.65042i −0.559844 + 0.969679i 0.437664 + 0.899138i \(0.355806\pi\)
−0.997509 + 0.0705407i \(0.977528\pi\)
\(24\) −0.581904 1.00789i −0.118781 0.205734i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 3.85611 0.756245
\(27\) 2.22142 0.427512
\(28\) 0.753090 1.30439i 0.142321 0.246507i
\(29\) −2.48530 + 4.30466i −0.461508 + 0.799355i −0.999036 0.0438905i \(-0.986025\pi\)
0.537528 + 0.843246i \(0.319358\pi\)
\(30\) −0.416295 −0.0760048
\(31\) 6.56472 1.17906 0.589529 0.807747i \(-0.299313\pi\)
0.589529 + 0.807747i \(0.299313\pi\)
\(32\) −2.09366 + 3.62633i −0.370111 + 0.641050i
\(33\) 0.0254912 + 0.0441521i 0.00443745 + 0.00768589i
\(34\) 0.911548 1.57885i 0.156329 0.270770i
\(35\) −0.946534 1.63944i −0.159993 0.277117i
\(36\) −1.13620 1.96796i −0.189367 0.327993i
\(37\) −1.69819 −0.279181 −0.139590 0.990209i \(-0.544579\pi\)
−0.139590 + 0.990209i \(0.544579\pi\)
\(38\) 2.47156 4.09566i 0.400940 0.664404i
\(39\) −1.33288 −0.213431
\(40\) 1.53402 + 2.65699i 0.242549 + 0.420107i
\(41\) −5.31637 9.20823i −0.830278 1.43808i −0.897818 0.440367i \(-0.854848\pi\)
0.0675398 0.997717i \(-0.478485\pi\)
\(42\) 0.394038 0.682493i 0.0608013 0.105311i
\(43\) −4.25392 7.36801i −0.648717 1.12361i −0.983430 0.181290i \(-0.941973\pi\)
0.334713 0.942320i \(-0.391361\pi\)
\(44\) 0.0534662 0.0926063i 0.00806034 0.0139609i
\(45\) −2.85611 −0.425763
\(46\) 5.89307 0.868885
\(47\) 5.55771 9.62623i 0.810675 1.40413i −0.101718 0.994813i \(-0.532434\pi\)
0.912392 0.409316i \(-0.134233\pi\)
\(48\) −0.336794 + 0.583345i −0.0486121 + 0.0841986i
\(49\) −3.41630 −0.488042
\(50\) 1.09744 0.155201
\(51\) −0.315080 + 0.545735i −0.0441201 + 0.0764182i
\(52\) 1.39781 + 2.42109i 0.193842 + 0.335744i
\(53\) 0.132424 0.229365i 0.0181898 0.0315057i −0.856787 0.515670i \(-0.827543\pi\)
0.874977 + 0.484164i \(0.160876\pi\)
\(54\) −1.21894 2.11126i −0.165876 0.287306i
\(55\) −0.0672000 0.116394i −0.00906124 0.0156945i
\(56\) −5.80799 −0.776125
\(57\) −0.854305 + 1.41568i −0.113155 + 0.187511i
\(58\) 5.45492 0.716266
\(59\) 3.44833 + 5.97269i 0.448935 + 0.777578i 0.998317 0.0579932i \(-0.0184702\pi\)
−0.549382 + 0.835571i \(0.685137\pi\)
\(60\) −0.150905 0.261374i −0.0194817 0.0337433i
\(61\) −4.58794 + 7.94655i −0.587426 + 1.01745i 0.407142 + 0.913365i \(0.366525\pi\)
−0.994568 + 0.104087i \(0.966808\pi\)
\(62\) −3.60219 6.23917i −0.457478 0.792375i
\(63\) 2.70340 4.68243i 0.340596 0.589930i
\(64\) 8.14676 1.01834
\(65\) 3.51373 0.435825
\(66\) 0.0279750 0.0484542i 0.00344349 0.00596430i
\(67\) 1.47677 2.55784i 0.180416 0.312490i −0.761606 0.648040i \(-0.775589\pi\)
0.942022 + 0.335550i \(0.108922\pi\)
\(68\) 1.32172 0.160282
\(69\) −2.03696 −0.245221
\(70\) −1.03876 + 1.79919i −0.124156 + 0.215044i
\(71\) −0.664176 1.15039i −0.0788232 0.136526i 0.823919 0.566707i \(-0.191783\pi\)
−0.902742 + 0.430181i \(0.858450\pi\)
\(72\) −4.38131 + 7.58865i −0.516342 + 0.894331i
\(73\) 3.17119 + 5.49266i 0.371159 + 0.642867i 0.989744 0.142851i \(-0.0456271\pi\)
−0.618585 + 0.785718i \(0.712294\pi\)
\(74\) 0.931830 + 1.61398i 0.108323 + 0.187621i
\(75\) −0.379334 −0.0438017
\(76\) 3.46742 + 0.0671384i 0.397740 + 0.00770130i
\(77\) 0.254428 0.0289948
\(78\) 0.731376 + 1.26678i 0.0828120 + 0.143435i
\(79\) 0.733639 + 1.27070i 0.0825408 + 0.142965i 0.904341 0.426811i \(-0.140363\pi\)
−0.821800 + 0.569776i \(0.807030\pi\)
\(80\) 0.887858 1.53781i 0.0992655 0.171933i
\(81\) −3.86283 6.69062i −0.429203 0.743402i
\(82\) −5.83439 + 10.1055i −0.644301 + 1.11596i
\(83\) 7.44736 0.817454 0.408727 0.912657i \(-0.365973\pi\)
0.408727 + 0.912657i \(0.365973\pi\)
\(84\) 0.571345 0.0623388
\(85\) 0.830615 1.43867i 0.0900928 0.156045i
\(86\) −4.66842 + 8.08593i −0.503408 + 0.871929i
\(87\) −1.88551 −0.202148
\(88\) −0.412343 −0.0439559
\(89\) −4.86804 + 8.43169i −0.516011 + 0.893757i 0.483816 + 0.875170i \(0.339250\pi\)
−0.999827 + 0.0185878i \(0.994083\pi\)
\(90\) 1.56720 + 2.71447i 0.165197 + 0.286130i
\(91\) −3.32587 + 5.76057i −0.348646 + 0.603872i
\(92\) 2.13620 + 3.70001i 0.222714 + 0.385753i
\(93\) 1.24511 + 2.15659i 0.129112 + 0.223628i
\(94\) −12.1985 −1.25818
\(95\) 2.25212 3.73202i 0.231063 0.382897i
\(96\) −1.58839 −0.162115
\(97\) −8.73447 15.1285i −0.886851 1.53607i −0.843577 0.537008i \(-0.819555\pi\)
−0.0432737 0.999063i \(-0.513779\pi\)
\(98\) 1.87459 + 3.24688i 0.189362 + 0.327984i
\(99\) 0.191930 0.332433i 0.0192897 0.0334108i
\(100\) 0.397815 + 0.689035i 0.0397815 + 0.0689035i
\(101\) −2.69865 + 4.67420i −0.268526 + 0.465101i −0.968481 0.249086i \(-0.919870\pi\)
0.699955 + 0.714187i \(0.253203\pi\)
\(102\) 0.691562 0.0684749
\(103\) 2.14750 0.211599 0.105800 0.994387i \(-0.466260\pi\)
0.105800 + 0.994387i \(0.466260\pi\)
\(104\) 5.39012 9.33596i 0.528545 0.915467i
\(105\) 0.359052 0.621897i 0.0350399 0.0606909i
\(106\) −0.290654 −0.0282308
\(107\) −1.00093 −0.0967631 −0.0483815 0.998829i \(-0.515406\pi\)
−0.0483815 + 0.998829i \(0.515406\pi\)
\(108\) 0.883713 1.53064i 0.0850353 0.147285i
\(109\) −8.13145 14.0841i −0.778852 1.34901i −0.932604 0.360902i \(-0.882469\pi\)
0.153752 0.988109i \(-0.450864\pi\)
\(110\) −0.0737478 + 0.127735i −0.00703158 + 0.0121790i
\(111\) −0.322091 0.557877i −0.0305715 0.0529514i
\(112\) 1.68077 + 2.91119i 0.158818 + 0.275081i
\(113\) 0.843010 0.0793037 0.0396519 0.999214i \(-0.487375\pi\)
0.0396519 + 0.999214i \(0.487375\pi\)
\(114\) 1.81425 + 0.0351287i 0.169920 + 0.00329010i
\(115\) 5.36984 0.500740
\(116\) 1.97737 + 3.42491i 0.183595 + 0.317995i
\(117\) 5.01780 + 8.69108i 0.463896 + 0.803491i
\(118\) 3.78433 6.55466i 0.348376 0.603405i
\(119\) 1.57241 + 2.72349i 0.144143 + 0.249662i
\(120\) −0.581904 + 1.00789i −0.0531203 + 0.0920071i
\(121\) −10.9819 −0.998358
\(122\) 10.0700 0.911692
\(123\) 2.01668 3.49299i 0.181838 0.314953i
\(124\) 2.61154 4.52332i 0.234523 0.406206i
\(125\) 1.00000 0.0894427
\(126\) −5.93363 −0.528610
\(127\) −9.36984 + 16.2290i −0.831439 + 1.44009i 0.0654584 + 0.997855i \(0.479149\pi\)
−0.896897 + 0.442239i \(0.854184\pi\)
\(128\) −0.282960 0.490101i −0.0250104 0.0433193i
\(129\) 1.61366 2.79493i 0.142074 0.246080i
\(130\) −1.92805 3.33949i −0.169101 0.292892i
\(131\) −1.44322 2.49973i −0.126095 0.218402i 0.796066 0.605210i \(-0.206911\pi\)
−0.922160 + 0.386808i \(0.873578\pi\)
\(132\) 0.0405631 0.00353057
\(133\) 3.98673 + 7.22471i 0.345693 + 0.626461i
\(134\) −3.24133 −0.280008
\(135\) −1.11071 1.92381i −0.0955946 0.165575i
\(136\) −2.54835 4.41387i −0.218519 0.378487i
\(137\) 9.41579 16.3086i 0.804445 1.39334i −0.112220 0.993683i \(-0.535796\pi\)
0.916665 0.399656i \(-0.130871\pi\)
\(138\) 1.11772 + 1.93595i 0.0951466 + 0.164799i
\(139\) 9.08974 15.7439i 0.770982 1.33538i −0.166043 0.986118i \(-0.553099\pi\)
0.937025 0.349262i \(-0.113568\pi\)
\(140\) −1.50618 −0.127295
\(141\) 4.21645 0.355089
\(142\) −0.728892 + 1.26248i −0.0611672 + 0.105945i
\(143\) −0.236123 + 0.408977i −0.0197456 + 0.0342003i
\(144\) 5.07163 0.422636
\(145\) 4.97059 0.412785
\(146\) 3.48018 6.02785i 0.288022 0.498868i
\(147\) −0.647958 1.12230i −0.0534427 0.0925655i
\(148\) −0.675565 + 1.17011i −0.0555311 + 0.0961827i
\(149\) 11.1272 + 19.2728i 0.911573 + 1.57889i 0.811842 + 0.583877i \(0.198465\pi\)
0.0997308 + 0.995014i \(0.468202\pi\)
\(150\) 0.208148 + 0.360522i 0.0169952 + 0.0294365i
\(151\) 3.33482 0.271384 0.135692 0.990751i \(-0.456674\pi\)
0.135692 + 0.990751i \(0.456674\pi\)
\(152\) −6.46116 11.7088i −0.524069 0.949712i
\(153\) 4.74465 0.383582
\(154\) −0.139610 0.241811i −0.0112501 0.0194857i
\(155\) −3.28236 5.68521i −0.263645 0.456647i
\(156\) −0.530238 + 0.918400i −0.0424530 + 0.0735308i
\(157\) −3.63145 6.28986i −0.289822 0.501986i 0.683945 0.729533i \(-0.260263\pi\)
−0.973767 + 0.227548i \(0.926929\pi\)
\(158\) 0.805123 1.39451i 0.0640522 0.110942i
\(159\) 0.100466 0.00796744
\(160\) 4.18732 0.331037
\(161\) −5.08273 + 8.80355i −0.400576 + 0.693817i
\(162\) −4.23922 + 7.34254i −0.333064 + 0.576884i
\(163\) −19.7783 −1.54916 −0.774578 0.632478i \(-0.782038\pi\)
−0.774578 + 0.632478i \(0.782038\pi\)
\(164\) −8.45972 −0.660593
\(165\) 0.0254912 0.0441521i 0.00198449 0.00343723i
\(166\) −4.08651 7.07805i −0.317175 0.549363i
\(167\) 1.70160 2.94726i 0.131674 0.228066i −0.792648 0.609679i \(-0.791298\pi\)
0.924322 + 0.381614i \(0.124632\pi\)
\(168\) −1.10158 1.90800i −0.0849890 0.147205i
\(169\) 0.326838 + 0.566100i 0.0251414 + 0.0435461i
\(170\) −1.82310 −0.139825
\(171\) 12.4471 + 0.241010i 0.951857 + 0.0184305i
\(172\) −6.76909 −0.516138
\(173\) 5.29286 + 9.16750i 0.402409 + 0.696992i 0.994016 0.109234i \(-0.0348398\pi\)
−0.591607 + 0.806226i \(0.701506\pi\)
\(174\) 1.03462 + 1.79201i 0.0784341 + 0.135852i
\(175\) −0.946534 + 1.63944i −0.0715512 + 0.123930i
\(176\) 0.119328 + 0.206682i 0.00899469 + 0.0155793i
\(177\) −1.30807 + 2.26564i −0.0983205 + 0.170296i
\(178\) 10.6847 0.800855
\(179\) −14.6024 −1.09144 −0.545718 0.837969i \(-0.683743\pi\)
−0.545718 + 0.837969i \(0.683743\pi\)
\(180\) −1.13620 + 1.96796i −0.0846874 + 0.146683i
\(181\) 2.71630 4.70478i 0.201901 0.349703i −0.747240 0.664555i \(-0.768621\pi\)
0.949141 + 0.314851i \(0.101955\pi\)
\(182\) 7.29987 0.541102
\(183\) −3.48072 −0.257303
\(184\) 8.23742 14.2676i 0.607270 1.05182i
\(185\) 0.849095 + 1.47068i 0.0624267 + 0.108126i
\(186\) 1.36643 2.36673i 0.100192 0.173537i
\(187\) 0.111635 + 0.193357i 0.00816353 + 0.0141396i
\(188\) −4.42187 7.65891i −0.322498 0.558583i
\(189\) 4.20530 0.305890
\(190\) −4.78273 0.0926063i −0.346975 0.00671836i
\(191\) 20.4758 1.48157 0.740787 0.671740i \(-0.234453\pi\)
0.740787 + 0.671740i \(0.234453\pi\)
\(192\) 1.54517 + 2.67631i 0.111513 + 0.193146i
\(193\) −5.51176 9.54664i −0.396745 0.687182i 0.596577 0.802556i \(-0.296527\pi\)
−0.993322 + 0.115373i \(0.963194\pi\)
\(194\) −9.58554 + 16.6026i −0.688202 + 1.19200i
\(195\) 0.666439 + 1.15431i 0.0477247 + 0.0826616i
\(196\) −1.35905 + 2.35395i −0.0970752 + 0.168139i
\(197\) −19.8532 −1.41448 −0.707242 0.706971i \(-0.750061\pi\)
−0.707242 + 0.706971i \(0.750061\pi\)
\(198\) −0.421263 −0.0299379
\(199\) −10.5013 + 18.1888i −0.744417 + 1.28937i 0.206050 + 0.978542i \(0.433939\pi\)
−0.950467 + 0.310826i \(0.899394\pi\)
\(200\) 1.53402 2.65699i 0.108471 0.187878i
\(201\) 1.12038 0.0790254
\(202\) 5.92321 0.416756
\(203\) −4.70483 + 8.14901i −0.330215 + 0.571948i
\(204\) 0.250687 + 0.434203i 0.0175516 + 0.0304003i
\(205\) −5.31637 + 9.20823i −0.371312 + 0.643131i
\(206\) −1.17837 2.04100i −0.0821011 0.142203i
\(207\) 7.66842 + 13.2821i 0.532992 + 0.923169i
\(208\) −6.23939 −0.432624
\(209\) 0.283041 + 0.512924i 0.0195784 + 0.0354797i
\(210\) −0.788075 −0.0543824
\(211\) 6.41284 + 11.1074i 0.441478 + 0.764663i 0.997799 0.0663046i \(-0.0211209\pi\)
−0.556321 + 0.830967i \(0.687788\pi\)
\(212\) −0.105360 0.182489i −0.00723617 0.0125334i
\(213\) 0.251944 0.436380i 0.0172629 0.0299003i
\(214\) 0.549227 + 0.951289i 0.0375444 + 0.0650288i
\(215\) −4.25392 + 7.36801i −0.290115 + 0.502494i
\(216\) −6.81538 −0.463728
\(217\) 12.4275 0.843630
\(218\) −8.92377 + 15.4564i −0.604394 + 1.04684i
\(219\) −1.20294 + 2.08355i −0.0812870 + 0.140793i
\(220\) −0.106932 −0.00720939
\(221\) −5.83712 −0.392647
\(222\) −0.353475 + 0.612236i −0.0237237 + 0.0410906i
\(223\) −10.1972 17.6621i −0.682856 1.18274i −0.974105 0.226095i \(-0.927404\pi\)
0.291249 0.956647i \(-0.405929\pi\)
\(224\) −3.96344 + 6.86488i −0.264819 + 0.458679i
\(225\) 1.42805 + 2.47346i 0.0952035 + 0.164897i
\(226\) −0.462576 0.801205i −0.0307701 0.0532954i
\(227\) 25.4172 1.68700 0.843500 0.537129i \(-0.180491\pi\)
0.843500 + 0.537129i \(0.180491\pi\)
\(228\) 0.635598 + 1.15182i 0.0420935 + 0.0762814i
\(229\) 2.21553 0.146406 0.0732030 0.997317i \(-0.476678\pi\)
0.0732030 + 0.997317i \(0.476678\pi\)
\(230\) −2.94653 5.10355i −0.194289 0.336518i
\(231\) 0.0482566 + 0.0835829i 0.00317505 + 0.00549935i
\(232\) 7.62496 13.2068i 0.500603 0.867071i
\(233\) 7.07882 + 12.2609i 0.463749 + 0.803236i 0.999144 0.0413652i \(-0.0131707\pi\)
−0.535395 + 0.844602i \(0.679837\pi\)
\(234\) 5.50672 9.53792i 0.359986 0.623514i
\(235\) −11.1154 −0.725089
\(236\) 5.48719 0.357186
\(237\) −0.278294 + 0.482019i −0.0180771 + 0.0313105i
\(238\) 1.72562 2.98887i 0.111855 0.193739i
\(239\) 3.01476 0.195008 0.0975042 0.995235i \(-0.468914\pi\)
0.0975042 + 0.995235i \(0.468914\pi\)
\(240\) 0.673589 0.0434800
\(241\) 11.8896 20.5934i 0.765877 1.32654i −0.173904 0.984763i \(-0.555638\pi\)
0.939781 0.341776i \(-0.111028\pi\)
\(242\) 6.02600 + 10.4373i 0.387366 + 0.670937i
\(243\) 4.79743 8.30939i 0.307755 0.533048i
\(244\) 3.65030 + 6.32251i 0.233687 + 0.404757i
\(245\) 1.70815 + 2.95860i 0.109130 + 0.189018i
\(246\) −4.42636 −0.282215
\(247\) −15.3131 0.296503i −0.974352 0.0188660i
\(248\) −20.1407 −1.27894
\(249\) 1.41252 + 2.44655i 0.0895147 + 0.155044i
\(250\) −0.548719 0.950409i −0.0347040 0.0601092i
\(251\) −8.59495 + 14.8869i −0.542509 + 0.939653i 0.456250 + 0.889851i \(0.349192\pi\)
−0.998759 + 0.0498012i \(0.984141\pi\)
\(252\) −2.15090 3.72548i −0.135494 0.234683i
\(253\) −0.360853 + 0.625016i −0.0226866 + 0.0392944i
\(254\) 20.5656 1.29040
\(255\) 0.630160 0.0394622
\(256\) 7.83623 13.5727i 0.489764 0.848297i
\(257\) 9.77143 16.9246i 0.609525 1.05573i −0.381794 0.924248i \(-0.624693\pi\)
0.991319 0.131481i \(-0.0419732\pi\)
\(258\) −3.54178 −0.220501
\(259\) −3.21479 −0.199757
\(260\) 1.39781 2.42109i 0.0866888 0.150149i
\(261\) 7.09827 + 12.2946i 0.439372 + 0.761014i
\(262\) −1.58384 + 2.74330i −0.0978502 + 0.169482i
\(263\) −4.40680 7.63280i −0.271735 0.470659i 0.697571 0.716515i \(-0.254264\pi\)
−0.969306 + 0.245857i \(0.920931\pi\)
\(264\) −0.0782078 0.135460i −0.00481336 0.00833698i
\(265\) −0.264847 −0.0162694
\(266\) 4.67883 7.75336i 0.286878 0.475389i
\(267\) −3.69322 −0.226022
\(268\) −1.17496 2.03510i −0.0717723 0.124313i
\(269\) −0.144181 0.249729i −0.00879088 0.0152263i 0.861596 0.507594i \(-0.169465\pi\)
−0.870387 + 0.492368i \(0.836132\pi\)
\(270\) −1.21894 + 2.11126i −0.0741820 + 0.128487i
\(271\) 12.4356 + 21.5391i 0.755409 + 1.30841i 0.945171 + 0.326577i \(0.105895\pi\)
−0.189761 + 0.981830i \(0.560771\pi\)
\(272\) −1.47494 + 2.55466i −0.0894311 + 0.154899i
\(273\) −2.52323 −0.152713
\(274\) −20.6665 −1.24851
\(275\) −0.0672000 + 0.116394i −0.00405231 + 0.00701881i
\(276\) −0.810333 + 1.40354i −0.0487763 + 0.0844831i
\(277\) −4.40486 −0.264662 −0.132331 0.991206i \(-0.542246\pi\)
−0.132331 + 0.991206i \(0.542246\pi\)
\(278\) −19.9509 −1.19657
\(279\) 9.37476 16.2376i 0.561252 0.972118i
\(280\) 2.90399 + 5.02987i 0.173547 + 0.300592i
\(281\) 16.3607 28.3376i 0.975998 1.69048i 0.299398 0.954128i \(-0.403214\pi\)
0.676600 0.736350i \(-0.263452\pi\)
\(282\) −2.31365 4.00736i −0.137776 0.238635i
\(283\) 0.664463 + 1.15088i 0.0394982 + 0.0684129i 0.885099 0.465403i \(-0.154091\pi\)
−0.845600 + 0.533816i \(0.820757\pi\)
\(284\) −1.05688 −0.0627140
\(285\) 1.65317 + 0.0320097i 0.0979252 + 0.00189609i
\(286\) 0.518260 0.0306454
\(287\) −10.0643 17.4318i −0.594074 1.02897i
\(288\) 5.97972 + 10.3572i 0.352358 + 0.610302i
\(289\) 7.12016 12.3325i 0.418833 0.725440i
\(290\) −2.72746 4.72410i −0.160162 0.277409i
\(291\) 3.31328 5.73877i 0.194228 0.336413i
\(292\) 5.04618 0.295305
\(293\) −7.72365 −0.451220 −0.225610 0.974218i \(-0.572438\pi\)
−0.225610 + 0.974218i \(0.572438\pi\)
\(294\) −0.711094 + 1.23165i −0.0414718 + 0.0718313i
\(295\) 3.44833 5.97269i 0.200770 0.347743i
\(296\) 5.21010 0.302831
\(297\) 0.298558 0.0173241
\(298\) 12.2114 21.1507i 0.707386 1.22523i
\(299\) −9.43409 16.3403i −0.545588 0.944986i
\(300\) −0.150905 + 0.261374i −0.00871248 + 0.0150905i
\(301\) −8.05296 13.9481i −0.464165 0.803957i
\(302\) −1.82988 3.16944i −0.105298 0.182381i
\(303\) −2.04738 −0.117619
\(304\) −3.99912 + 6.62700i −0.229366 + 0.380085i
\(305\) 9.17589 0.525410
\(306\) −2.60348 4.50936i −0.148831 0.257783i
\(307\) 4.55001 + 7.88085i 0.259683 + 0.449784i 0.966157 0.257955i \(-0.0830486\pi\)
−0.706474 + 0.707739i \(0.749715\pi\)
\(308\) 0.101215 0.175310i 0.00576727 0.00998921i
\(309\) 0.407309 + 0.705480i 0.0231710 + 0.0401333i
\(310\) −3.60219 + 6.23917i −0.204590 + 0.354361i
\(311\) −12.4569 −0.706364 −0.353182 0.935555i \(-0.614900\pi\)
−0.353182 + 0.935555i \(0.614900\pi\)
\(312\) 4.08931 0.231512
\(313\) −1.02277 + 1.77148i −0.0578101 + 0.100130i −0.893482 0.449099i \(-0.851745\pi\)
0.835672 + 0.549229i \(0.185078\pi\)
\(314\) −3.98530 + 6.90274i −0.224903 + 0.389544i
\(315\) −5.40680 −0.304639
\(316\) 1.16741 0.0656719
\(317\) −11.7856 + 20.4133i −0.661947 + 1.14653i 0.318157 + 0.948038i \(0.396936\pi\)
−0.980103 + 0.198487i \(0.936397\pi\)
\(318\) −0.0551274 0.0954834i −0.00309139 0.00535445i
\(319\) −0.334024 + 0.578546i −0.0187017 + 0.0323923i
\(320\) −4.07338 7.05530i −0.227709 0.394403i
\(321\) −0.189842 0.328817i −0.0105960 0.0183528i
\(322\) 11.1560 0.621698
\(323\) −3.74129 + 6.19974i −0.208171 + 0.344963i
\(324\) −6.14676 −0.341487
\(325\) −1.75687 3.04298i −0.0974534 0.168794i
\(326\) 10.8527 + 18.7975i 0.601077 + 1.04110i
\(327\) 3.08454 5.34257i 0.170575 0.295445i
\(328\) 16.3108 + 28.2511i 0.900613 + 1.55991i
\(329\) 10.5211 18.2231i 0.580048 1.00467i
\(330\) −0.0559501 −0.00307995
\(331\) −18.7175 −1.02881 −0.514403 0.857549i \(-0.671986\pi\)
−0.514403 + 0.857549i \(0.671986\pi\)
\(332\) 2.96267 5.13150i 0.162598 0.281627i
\(333\) −2.42511 + 4.20041i −0.132895 + 0.230181i
\(334\) −3.73480 −0.204359
\(335\) −2.95354 −0.161369
\(336\) −0.637575 + 1.10431i −0.0347826 + 0.0602451i
\(337\) 16.3440 + 28.3087i 0.890316 + 1.54207i 0.839497 + 0.543365i \(0.182850\pi\)
0.0508197 + 0.998708i \(0.483817\pi\)
\(338\) 0.358684 0.621259i 0.0195098 0.0337921i
\(339\) 0.159891 + 0.276940i 0.00868409 + 0.0150413i
\(340\) −0.660861 1.14465i −0.0358402 0.0620771i
\(341\) 0.882297 0.0477791
\(342\) −6.60093 11.9621i −0.356937 0.646838i
\(343\) −19.7188 −1.06471
\(344\) 13.0512 + 22.6053i 0.703671 + 1.21879i
\(345\) 1.01848 + 1.76406i 0.0548332 + 0.0949738i
\(346\) 5.80859 10.0608i 0.312271 0.540870i
\(347\) 1.28333 + 2.22279i 0.0688927 + 0.119326i 0.898414 0.439149i \(-0.144720\pi\)
−0.829521 + 0.558475i \(0.811387\pi\)
\(348\) −0.750085 + 1.29919i −0.0402088 + 0.0696436i
\(349\) 16.6195 0.889619 0.444810 0.895625i \(-0.353271\pi\)
0.444810 + 0.895625i \(0.353271\pi\)
\(350\) 2.07752 0.111048
\(351\) −3.90274 + 6.75974i −0.208313 + 0.360808i
\(352\) −0.281388 + 0.487378i −0.0149980 + 0.0259773i
\(353\) 28.3629 1.50961 0.754803 0.655951i \(-0.227732\pi\)
0.754803 + 0.655951i \(0.227732\pi\)
\(354\) 2.87105 0.152595
\(355\) −0.664176 + 1.15039i −0.0352508 + 0.0610562i
\(356\) 3.87315 + 6.70850i 0.205277 + 0.355550i
\(357\) −0.596468 + 1.03311i −0.0315684 + 0.0546781i
\(358\) 8.01262 + 13.8783i 0.423480 + 0.733489i
\(359\) −8.69427 15.0589i −0.458866 0.794780i 0.540035 0.841643i \(-0.318411\pi\)
−0.998901 + 0.0468628i \(0.985078\pi\)
\(360\) 8.76262 0.461831
\(361\) −10.1298 + 16.0744i −0.533150 + 0.846021i
\(362\) −5.96195 −0.313353
\(363\) −2.08291 3.60771i −0.109324 0.189355i
\(364\) 2.64616 + 4.58328i 0.138696 + 0.240229i
\(365\) 3.17119 5.49266i 0.165987 0.287499i
\(366\) 1.90994 + 3.30811i 0.0998342 + 0.172918i
\(367\) −12.9024 + 22.3477i −0.673501 + 1.16654i 0.303404 + 0.952862i \(0.401877\pi\)
−0.976905 + 0.213676i \(0.931456\pi\)
\(368\) −9.53531 −0.497062
\(369\) −30.3683 −1.58091
\(370\) 0.931830 1.61398i 0.0484435 0.0839067i
\(371\) 0.250687 0.434203i 0.0130150 0.0225427i
\(372\) 1.98129 0.102725
\(373\) 27.0663 1.40144 0.700719 0.713437i \(-0.252862\pi\)
0.700719 + 0.713437i \(0.252862\pi\)
\(374\) 0.122512 0.212197i 0.00633495 0.0109724i
\(375\) 0.189667 + 0.328513i 0.00979436 + 0.0169643i
\(376\) −17.0512 + 29.5336i −0.879349 + 1.52308i
\(377\) −8.73267 15.1254i −0.449755 0.778999i
\(378\) −2.30753 3.99675i −0.118686 0.205571i
\(379\) 12.4028 0.637092 0.318546 0.947907i \(-0.396806\pi\)
0.318546 + 0.947907i \(0.396806\pi\)
\(380\) −1.67557 3.03644i −0.0859547 0.155766i
\(381\) −7.10859 −0.364184
\(382\) −11.2354 19.4604i −0.574855 0.995678i
\(383\) 2.67971 + 4.64139i 0.136927 + 0.237164i 0.926332 0.376709i \(-0.122944\pi\)
−0.789405 + 0.613873i \(0.789611\pi\)
\(384\) 0.107336 0.185912i 0.00547749 0.00948728i
\(385\) −0.127214 0.220341i −0.00648343 0.0112296i
\(386\) −6.04881 + 10.4769i −0.307877 + 0.533258i
\(387\) −24.2993 −1.23520
\(388\) −13.8988 −0.705605
\(389\) −4.28467 + 7.42126i −0.217241 + 0.376273i −0.953964 0.299923i \(-0.903039\pi\)
0.736722 + 0.676195i \(0.236372\pi\)
\(390\) 0.731376 1.26678i 0.0370346 0.0641459i
\(391\) −8.92053 −0.451131
\(392\) 10.4813 0.529386
\(393\) 0.547462 0.948232i 0.0276158 0.0478320i
\(394\) 10.8939 + 18.8687i 0.548824 + 0.950592i
\(395\) 0.733639 1.27070i 0.0369134 0.0639359i
\(396\) −0.152705 0.264493i −0.00767373 0.0132913i
\(397\) 5.32227 + 9.21844i 0.267117 + 0.462660i 0.968116 0.250502i \(-0.0805957\pi\)
−0.700999 + 0.713162i \(0.747262\pi\)
\(398\) 23.0490 1.15534
\(399\) −1.61726 + 2.67998i −0.0809641 + 0.134167i
\(400\) −1.77572 −0.0887858
\(401\) −3.82604 6.62690i −0.191063 0.330932i 0.754539 0.656255i \(-0.227860\pi\)
−0.945603 + 0.325323i \(0.894527\pi\)
\(402\) −0.614773 1.06482i −0.0306621 0.0531083i
\(403\) −11.5333 + 19.9763i −0.574516 + 0.995091i
\(404\) 2.14713 + 3.71893i 0.106824 + 0.185024i
\(405\) −3.86283 + 6.69062i −0.191946 + 0.332459i
\(406\) 10.3265 0.512497
\(407\) −0.228237 −0.0113133
\(408\) 0.966676 1.67433i 0.0478576 0.0828918i
\(409\) 8.84435 15.3189i 0.437325 0.757469i −0.560157 0.828386i \(-0.689259\pi\)
0.997482 + 0.0709173i \(0.0225927\pi\)
\(410\) 11.6688 0.576280
\(411\) 7.14345 0.352361
\(412\) 0.854305 1.47970i 0.0420886 0.0728996i
\(413\) 6.52793 + 11.3067i 0.321218 + 0.556367i
\(414\) 8.41561 14.5763i 0.413605 0.716384i
\(415\) −3.72368 6.44961i −0.182788 0.316599i
\(416\) −7.35657 12.7420i −0.360685 0.624726i
\(417\) 6.89609 0.337703
\(418\) 0.332178 0.550456i 0.0162473 0.0269237i
\(419\) 1.18732 0.0580045 0.0290023 0.999579i \(-0.490767\pi\)
0.0290023 + 0.999579i \(0.490767\pi\)
\(420\) −0.285672 0.494799i −0.0139394 0.0241437i
\(421\) −16.6836 28.8969i −0.813111 1.40835i −0.910677 0.413120i \(-0.864439\pi\)
0.0975661 0.995229i \(-0.468894\pi\)
\(422\) 7.03770 12.1896i 0.342590 0.593383i
\(423\) −15.8734 27.4935i −0.771791 1.33678i
\(424\) −0.406280 + 0.703698i −0.0197307 + 0.0341746i
\(425\) −1.66123 −0.0805815
\(426\) −0.552987 −0.0267923
\(427\) −8.68529 + 15.0434i −0.420311 + 0.727999i
\(428\) −0.398183 + 0.689673i −0.0192469 + 0.0333366i
\(429\) −0.179139 −0.00864890
\(430\) 9.33683 0.450262
\(431\) 3.08799 5.34855i 0.148743 0.257631i −0.782020 0.623253i \(-0.785811\pi\)
0.930763 + 0.365623i \(0.119144\pi\)
\(432\) 1.97230 + 3.41613i 0.0948925 + 0.164359i
\(433\) 9.27761 16.0693i 0.445854 0.772241i −0.552258 0.833673i \(-0.686234\pi\)
0.998111 + 0.0614325i \(0.0195669\pi\)
\(434\) −6.81918 11.8112i −0.327331 0.566954i
\(435\) 0.942757 + 1.63290i 0.0452017 + 0.0782917i
\(436\) −12.9392 −0.619677
\(437\) −23.4022 0.453129i −1.11948 0.0216761i
\(438\) 2.64030 0.126158
\(439\) 0.113656 + 0.196858i 0.00542450 + 0.00939550i 0.868725 0.495295i \(-0.164940\pi\)
−0.863300 + 0.504690i \(0.831607\pi\)
\(440\) 0.206172 + 0.357100i 0.00982884 + 0.0170241i
\(441\) −4.87865 + 8.45007i −0.232317 + 0.402384i
\(442\) 3.20294 + 5.54765i 0.152348 + 0.263875i
\(443\) 17.4913 30.2959i 0.831038 1.43940i −0.0661770 0.997808i \(-0.521080\pi\)
0.897216 0.441593i \(-0.145586\pi\)
\(444\) −0.512529 −0.0243236
\(445\) 9.73608 0.461534
\(446\) −11.1908 + 19.3831i −0.529901 + 0.917815i
\(447\) −4.22091 + 7.31083i −0.199642 + 0.345791i
\(448\) 15.4224 0.728638
\(449\) −16.9509 −0.799961 −0.399980 0.916524i \(-0.630983\pi\)
−0.399980 + 0.916524i \(0.630983\pi\)
\(450\) 1.56720 2.71447i 0.0738785 0.127961i
\(451\) −0.714520 1.23759i −0.0336454 0.0582756i
\(452\) 0.335362 0.580864i 0.0157741 0.0273215i
\(453\) 0.632505 + 1.09553i 0.0297177 + 0.0514725i
\(454\) −13.9469 24.1568i −0.654561 1.13373i
\(455\) 6.65174 0.311838
\(456\) 2.62103 4.34335i 0.122741 0.203396i
\(457\) 1.60241 0.0749578 0.0374789 0.999297i \(-0.488067\pi\)
0.0374789 + 0.999297i \(0.488067\pi\)
\(458\) −1.21570 2.10566i −0.0568060 0.0983909i
\(459\) 1.84514 + 3.19588i 0.0861239 + 0.149171i
\(460\) 2.13620 3.70001i 0.0996009 0.172514i
\(461\) 4.37081 + 7.57046i 0.203569 + 0.352592i 0.949676 0.313234i \(-0.101413\pi\)
−0.746107 + 0.665826i \(0.768079\pi\)
\(462\) 0.0529586 0.0917270i 0.00246386 0.00426753i
\(463\) 21.1886 0.984718 0.492359 0.870392i \(-0.336135\pi\)
0.492359 + 0.870392i \(0.336135\pi\)
\(464\) −8.82636 −0.409753
\(465\) 1.24511 2.15659i 0.0577406 0.100010i
\(466\) 7.76857 13.4556i 0.359872 0.623316i
\(467\) 20.4516 0.946388 0.473194 0.880958i \(-0.343101\pi\)
0.473194 + 0.880958i \(0.343101\pi\)
\(468\) 7.98461 0.369089
\(469\) 2.79563 4.84217i 0.129090 0.223591i
\(470\) 6.09924 + 10.5642i 0.281337 + 0.487290i
\(471\) 1.37753 2.38596i 0.0634734 0.109939i
\(472\) −10.5796 18.3244i −0.486965 0.843449i
\(473\) −0.571727 0.990259i −0.0262880 0.0455322i
\(474\) 0.610821 0.0280559
\(475\) −4.35808 0.0843840i −0.199963 0.00387180i
\(476\) 2.50211 0.114684
\(477\) −0.378216 0.655090i −0.0173173 0.0299945i
\(478\) −1.65425 2.86525i −0.0756639 0.131054i
\(479\) −11.7746 + 20.3942i −0.537994 + 0.931833i 0.461018 + 0.887391i \(0.347484\pi\)
−0.999012 + 0.0444419i \(0.985849\pi\)
\(480\) 0.794197 + 1.37559i 0.0362499 + 0.0627867i
\(481\) 2.98350 5.16757i 0.136036 0.235621i
\(482\) −26.0962 −1.18865
\(483\) −3.85611 −0.175459
\(484\) −4.36877 + 7.56694i −0.198581 + 0.343952i
\(485\) −8.73447 + 15.1285i −0.396612 + 0.686952i
\(486\) −10.5298 −0.477640
\(487\) 36.0392 1.63309 0.816546 0.577280i \(-0.195886\pi\)
0.816546 + 0.577280i \(0.195886\pi\)
\(488\) 14.0760 24.3803i 0.637188 1.10364i
\(489\) −3.75129 6.49742i −0.169639 0.293824i
\(490\) 1.87459 3.24688i 0.0846852 0.146679i
\(491\) −10.0297 17.3720i −0.452635 0.783988i 0.545913 0.837842i \(-0.316183\pi\)
−0.998549 + 0.0538541i \(0.982849\pi\)
\(492\) −1.60453 2.77913i −0.0723378 0.125293i
\(493\) −8.25729 −0.371890
\(494\) 8.12081 + 14.7164i 0.365373 + 0.662124i
\(495\) −0.383860 −0.0172532
\(496\) 5.82853 + 10.0953i 0.261709 + 0.453293i
\(497\) −1.25733 2.17776i −0.0563989 0.0976858i
\(498\) 1.55015 2.68494i 0.0694640 0.120315i
\(499\) 18.4364 + 31.9328i 0.825328 + 1.42951i 0.901668 + 0.432429i \(0.142343\pi\)
−0.0763399 + 0.997082i \(0.524323\pi\)
\(500\) 0.397815 0.689035i 0.0177908 0.0308146i
\(501\) 1.29095 0.0576753
\(502\) 18.8649 0.841980
\(503\) 10.8244 18.7483i 0.482634 0.835947i −0.517167 0.855884i \(-0.673013\pi\)
0.999801 + 0.0199377i \(0.00634678\pi\)
\(504\) −8.29412 + 14.3658i −0.369449 + 0.639905i
\(505\) 5.39731 0.240177
\(506\) 0.792028 0.0352099
\(507\) −0.123981 + 0.214741i −0.00550617 + 0.00953697i
\(508\) 7.45492 + 12.9123i 0.330759 + 0.572891i
\(509\) 18.2279 31.5717i 0.807938 1.39939i −0.106351 0.994329i \(-0.533917\pi\)
0.914289 0.405062i \(-0.132750\pi\)
\(510\) −0.345781 0.598910i −0.0153114 0.0265202i
\(511\) 6.00327 + 10.3980i 0.265569 + 0.459979i
\(512\) −18.3314 −0.810141
\(513\) 4.67822 + 8.47783i 0.206549 + 0.374305i
\(514\) −21.4471 −0.945990
\(515\) −1.07375 1.85979i −0.0473150 0.0819520i
\(516\) −1.28387 2.22373i −0.0565193 0.0978943i
\(517\) 0.746955 1.29376i 0.0328511 0.0568997i
\(518\) 1.76402 + 3.05537i 0.0775065 + 0.134245i
\(519\) −2.00776 + 3.47754i −0.0881309 + 0.152647i
\(520\) −10.7802 −0.472745
\(521\) −22.6092 −0.990528 −0.495264 0.868742i \(-0.664929\pi\)
−0.495264 + 0.868742i \(0.664929\pi\)
\(522\) 7.78991 13.4925i 0.340955 0.590552i
\(523\) −0.266456 + 0.461515i −0.0116513 + 0.0201806i −0.871792 0.489876i \(-0.837042\pi\)
0.860141 + 0.510056i \(0.170375\pi\)
\(524\) −2.29654 −0.100325
\(525\) −0.718104 −0.0313406
\(526\) −4.83619 + 8.37653i −0.210868 + 0.365234i
\(527\) 5.45275 + 9.44444i 0.237525 + 0.411406i
\(528\) −0.0452651 + 0.0784015i −0.00196991 + 0.00341199i
\(529\) −2.91759 5.05341i −0.126852 0.219714i
\(530\) 0.145327 + 0.251713i 0.00631259 + 0.0109337i
\(531\) 19.6976 0.854804
\(532\) 6.56406 + 0.127098i 0.284588 + 0.00551038i
\(533\) 37.3606 1.61827
\(534\) 2.02654 + 3.51007i 0.0876971 + 0.151896i
\(535\) 0.500463 + 0.866827i 0.0216369 + 0.0374762i
\(536\) −4.53078 + 7.84754i −0.195700 + 0.338962i
\(537\) −2.76959 4.79708i −0.119517 0.207009i
\(538\) −0.158230 + 0.274062i −0.00682178 + 0.0118157i
\(539\) −0.459150 −0.0197770
\(540\) −1.76743 −0.0760579
\(541\) −2.50820 + 4.34433i −0.107836 + 0.186777i −0.914893 0.403696i \(-0.867725\pi\)
0.807057 + 0.590473i \(0.201059\pi\)
\(542\) 13.6473 23.6378i 0.586202 1.01533i
\(543\) 2.06077 0.0884362
\(544\) −6.95610 −0.298240
\(545\) −8.13145 + 14.0841i −0.348313 + 0.603296i
\(546\) 1.38454 + 2.39810i 0.0592530 + 0.102629i
\(547\) −11.3149 + 19.5981i −0.483792 + 0.837952i −0.999827 0.0186154i \(-0.994074\pi\)
0.516035 + 0.856568i \(0.327408\pi\)
\(548\) −7.49148 12.9756i −0.320020 0.554291i
\(549\) 13.1037 + 22.6962i 0.559250 + 0.968650i
\(550\) 0.147496 0.00628923
\(551\) −21.6622 0.419439i −0.922843 0.0178687i
\(552\) 6.24946 0.265995
\(553\) 1.38883 + 2.40552i 0.0590590 + 0.102293i
\(554\) 2.41703 + 4.18642i 0.102690 + 0.177864i
\(555\) −0.322091 + 0.557877i −0.0136720 + 0.0236806i
\(556\) −7.23207 12.5263i −0.306708 0.531234i
\(557\) −17.6277 + 30.5321i −0.746910 + 1.29369i 0.202387 + 0.979306i \(0.435130\pi\)
−0.949297 + 0.314381i \(0.898203\pi\)
\(558\) −20.5764 −0.871070
\(559\) 29.8943 1.26439
\(560\) 1.68077 2.91119i 0.0710257 0.123020i
\(561\) −0.0423468 + 0.0733467i −0.00178788 + 0.00309670i
\(562\) −35.9097 −1.51476
\(563\) −24.6295 −1.03801 −0.519005 0.854771i \(-0.673698\pi\)
−0.519005 + 0.854771i \(0.673698\pi\)
\(564\) 1.67737 2.90528i 0.0706298 0.122334i
\(565\) −0.421505 0.730068i −0.0177329 0.0307142i
\(566\) 0.729207 1.26302i 0.0306509 0.0530888i
\(567\) −7.31260 12.6658i −0.307100 0.531913i
\(568\) 2.03771 + 3.52942i 0.0855005 + 0.148091i
\(569\) −20.0193 −0.839252 −0.419626 0.907697i \(-0.637839\pi\)
−0.419626 + 0.907697i \(0.637839\pi\)
\(570\) −0.876702 1.58875i −0.0367210 0.0665454i
\(571\) −16.6121 −0.695195 −0.347597 0.937644i \(-0.613002\pi\)
−0.347597 + 0.937644i \(0.613002\pi\)
\(572\) 0.187866 + 0.325394i 0.00785508 + 0.0136054i
\(573\) 3.88357 + 6.72655i 0.162239 + 0.281006i
\(574\) −11.0449 + 19.1303i −0.461005 + 0.798484i
\(575\) −2.68492 4.65042i −0.111969 0.193936i
\(576\) 11.6340 20.1507i 0.484750 0.839612i
\(577\) 12.4486 0.518244 0.259122 0.965845i \(-0.416567\pi\)
0.259122 + 0.965845i \(0.416567\pi\)
\(578\) −15.6279 −0.650034
\(579\) 2.09080 3.62136i 0.0868905 0.150499i
\(580\) 1.97737 3.42491i 0.0821060 0.142212i
\(581\) 14.0984 0.584899
\(582\) −7.27224 −0.301444
\(583\) 0.0177977 0.0308266i 0.000737107 0.00127671i
\(584\) −9.72930 16.8516i −0.402601 0.697326i
\(585\) 5.01780 8.69108i 0.207460 0.359332i
\(586\) 4.23811 + 7.34063i 0.175075 + 0.303238i
\(587\) −2.25572 3.90702i −0.0931036 0.161260i 0.815712 0.578458i \(-0.196345\pi\)
−0.908816 + 0.417198i \(0.863012\pi\)
\(588\) −1.03107 −0.0425206
\(589\) 13.8250 + 25.0536i 0.569651 + 1.03232i
\(590\) −7.56867 −0.311597
\(591\) −3.76550 6.52204i −0.154892 0.268281i
\(592\) −1.50775 2.61150i −0.0619682 0.107332i
\(593\) −9.80411 + 16.9812i −0.402606 + 0.697335i −0.994040 0.109019i \(-0.965229\pi\)
0.591433 + 0.806354i \(0.298562\pi\)
\(594\) −0.163825 0.283753i −0.00672181 0.0116425i
\(595\) 1.57241 2.72349i 0.0644625 0.111652i
\(596\) 17.7062 0.725274
\(597\) −7.96699 −0.326067
\(598\) −10.3533 + 17.9325i −0.423379 + 0.733315i
\(599\) −5.38795 + 9.33221i −0.220146 + 0.381304i −0.954852 0.297082i \(-0.903987\pi\)
0.734706 + 0.678385i \(0.237320\pi\)
\(600\) 1.16381 0.0475122
\(601\) 15.0244 0.612860 0.306430 0.951893i \(-0.400866\pi\)
0.306430 + 0.951893i \(0.400866\pi\)
\(602\) −8.83763 + 15.3072i −0.360195 + 0.623876i
\(603\) −4.21782 7.30547i −0.171763 0.297502i
\(604\) 1.32664 2.29781i 0.0539802 0.0934964i
\(605\) 5.49097 + 9.51064i 0.223240 + 0.386662i
\(606\) 1.12344 + 1.94585i 0.0456365 + 0.0790448i
\(607\) 25.1901 1.02243 0.511217 0.859452i \(-0.329195\pi\)
0.511217 + 0.859452i \(0.329195\pi\)
\(608\) −18.2487 0.353343i −0.740082 0.0143300i
\(609\) −3.56940 −0.144640
\(610\) −5.03499 8.72085i −0.203861 0.353097i
\(611\) 19.5283 + 33.8240i 0.790030 + 1.36837i
\(612\) 1.88749 3.26923i 0.0762973 0.132151i
\(613\) −8.11753 14.0600i −0.327864 0.567877i 0.654224 0.756301i \(-0.272995\pi\)
−0.982088 + 0.188424i \(0.939662\pi\)
\(614\) 4.99336 8.64875i 0.201516 0.349035i
\(615\) −4.03336 −0.162641
\(616\) −0.780593 −0.0314510
\(617\) −3.25913 + 5.64498i −0.131208 + 0.227258i −0.924142 0.382048i \(-0.875219\pi\)
0.792935 + 0.609307i \(0.208552\pi\)
\(618\) 0.446996 0.774220i 0.0179808 0.0311437i
\(619\) −4.39112 −0.176494 −0.0882470 0.996099i \(-0.528126\pi\)
−0.0882470 + 0.996099i \(0.528126\pi\)
\(620\) −5.22308 −0.209764
\(621\) −5.96433 + 10.3305i −0.239340 + 0.414550i
\(622\) 6.83532 + 11.8391i 0.274071 + 0.474705i
\(623\) −9.21553 + 15.9618i −0.369212 + 0.639494i
\(624\) −1.18341 2.04972i −0.0473742 0.0820545i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 2.24484 0.0897220
\(627\) −0.114819 + 0.190267i −0.00458541 + 0.00759855i
\(628\) −5.77858 −0.230590
\(629\) −1.41054 2.44313i −0.0562420 0.0974140i
\(630\) 2.96682 + 5.13867i 0.118201 + 0.204730i
\(631\) 17.3104 29.9826i 0.689118 1.19359i −0.283006 0.959118i \(-0.591332\pi\)
0.972124 0.234469i \(-0.0753350\pi\)
\(632\) −2.25083 3.89855i −0.0895331 0.155076i
\(633\) −2.43261 + 4.21340i −0.0966875 + 0.167468i
\(634\) 25.8680 1.02735
\(635\) 18.7397 0.743661
\(636\) 0.0399667 0.0692243i 0.00158478 0.00274492i
\(637\) 6.00198 10.3957i 0.237807 0.411894i
\(638\) 0.733141 0.0290253
\(639\) −3.79391 −0.150085
\(640\) −0.282960 + 0.490101i −0.0111850 + 0.0193730i
\(641\) −3.70621 6.41934i −0.146386 0.253549i 0.783503 0.621388i \(-0.213431\pi\)
−0.929889 + 0.367839i \(0.880098\pi\)
\(642\) −0.208340 + 0.360856i −0.00822253 + 0.0142418i
\(643\) 8.27294 + 14.3292i 0.326253 + 0.565087i 0.981765 0.190098i \(-0.0608805\pi\)
−0.655512 + 0.755185i \(0.727547\pi\)
\(644\) 4.04397 + 7.00437i 0.159355 + 0.276011i
\(645\) −3.22731 −0.127075
\(646\) 7.94520 + 0.153840i 0.312600 + 0.00605276i
\(647\) 29.4822 1.15907 0.579533 0.814949i \(-0.303235\pi\)
0.579533 + 0.814949i \(0.303235\pi\)
\(648\) 11.8513 + 20.5270i 0.465562 + 0.806377i
\(649\) 0.463456 + 0.802729i 0.0181922 + 0.0315099i
\(650\) −1.92805 + 3.33949i −0.0756245 + 0.130985i
\(651\) 2.35708 + 4.08258i 0.0923811 + 0.160009i
\(652\) −7.86810 + 13.6279i −0.308138 + 0.533712i
\(653\) 6.57421 0.257269 0.128634 0.991692i \(-0.458941\pi\)
0.128634 + 0.991692i \(0.458941\pi\)
\(654\) −6.77017 −0.264735
\(655\) −1.44322 + 2.49973i −0.0563912 + 0.0976725i
\(656\) 9.44037 16.3512i 0.368584 0.638407i
\(657\) 18.1145 0.706713
\(658\) −23.0925 −0.900241
\(659\) 13.1685 22.8085i 0.512972 0.888494i −0.486915 0.873450i \(-0.661878\pi\)
0.999887 0.0150445i \(-0.00478898\pi\)
\(660\) −0.0202816 0.0351287i −0.000789458 0.00136738i
\(661\) −1.89210 + 3.27721i −0.0735941 + 0.127469i −0.900474 0.434910i \(-0.856780\pi\)
0.826880 + 0.562378i \(0.190114\pi\)
\(662\) 10.2706 + 17.7893i 0.399180 + 0.691399i
\(663\) −1.10711 1.91757i −0.0429965 0.0744721i
\(664\) −22.8487 −0.886703
\(665\) 4.26341 7.06496i 0.165328 0.273967i
\(666\) 5.32281 0.206255
\(667\) −13.3456 23.1153i −0.516745 0.895029i
\(668\) −1.35384 2.34492i −0.0523817 0.0907278i
\(669\) 3.86815 6.69983i 0.149551 0.259031i
\(670\) 1.62067 + 2.80708i 0.0626118 + 0.108447i
\(671\) −0.616619 + 1.06802i −0.0238043 + 0.0412303i
\(672\) −3.00694 −0.115995
\(673\) −21.0431 −0.811150 −0.405575 0.914062i \(-0.632929\pi\)
−0.405575 + 0.914062i \(0.632929\pi\)
\(674\) 17.9366 31.0670i 0.690891 1.19666i
\(675\) −1.11071 + 1.92381i −0.0427512 + 0.0740473i
\(676\) 0.520083 0.0200032
\(677\) −15.2744 −0.587043 −0.293522 0.955952i \(-0.594827\pi\)
−0.293522 + 0.955952i \(0.594827\pi\)
\(678\) 0.175471 0.303924i 0.00673891 0.0116721i
\(679\) −16.5349 28.6394i −0.634553 1.09908i
\(680\) −2.54835 + 4.41387i −0.0977248 + 0.169264i
\(681\) 4.82081 + 8.34988i 0.184734 + 0.319968i
\(682\) −0.484133 0.838544i −0.0185384 0.0321095i
\(683\) −8.60225 −0.329156 −0.164578 0.986364i \(-0.552626\pi\)
−0.164578 + 0.986364i \(0.552626\pi\)
\(684\) 5.11772 8.48064i 0.195681 0.324265i
\(685\) −18.8316 −0.719518
\(686\) 10.8201 + 18.7409i 0.413112 + 0.715530i
\(687\) 0.420212 + 0.727828i 0.0160321 + 0.0277684i
\(688\) 7.55375 13.0835i 0.287984 0.498803i
\(689\) 0.465302 + 0.805926i 0.0177266 + 0.0307033i
\(690\) 1.11772 1.93595i 0.0425509 0.0737003i
\(691\) 34.1079 1.29753 0.648763 0.760990i \(-0.275286\pi\)
0.648763 + 0.760990i \(0.275286\pi\)
\(692\) 8.42231 0.320168
\(693\) 0.363337 0.629318i 0.0138020 0.0239058i
\(694\) 1.40837 2.43937i 0.0534611 0.0925974i
\(695\) −18.1795 −0.689587
\(696\) 5.78481 0.219273
\(697\) 8.83172 15.2970i 0.334525 0.579414i
\(698\) −9.11942 15.7953i −0.345175 0.597861i
\(699\) −2.68523 + 4.65096i −0.101565 + 0.175916i
\(700\) 0.753090 + 1.30439i 0.0284641 + 0.0493013i
\(701\) −5.36463 9.29181i −0.202619 0.350947i 0.746752 0.665102i \(-0.231612\pi\)
−0.949372 + 0.314155i \(0.898279\pi\)
\(702\) 8.56603 0.323304
\(703\) −3.57633 6.48098i −0.134884 0.244435i
\(704\) 1.09492 0.0412665
\(705\) −2.10823 3.65155i −0.0794004 0.137525i
\(706\) −15.5633 26.9564i −0.585732 1.01452i
\(707\) −5.10873 + 8.84859i −0.192134 + 0.332785i
\(708\) 1.04074 + 1.80261i 0.0391134 + 0.0677463i
\(709\) 14.4238 24.9828i 0.541697 0.938247i −0.457109 0.889410i \(-0.651115\pi\)
0.998807 0.0488369i \(-0.0155514\pi\)
\(710\) 1.45778 0.0547096
\(711\) 4.19070 0.157164
\(712\) 14.9353 25.8687i 0.559724 0.969470i
\(713\) −17.6257 + 30.5287i −0.660089 + 1.14331i
\(714\) 1.30917 0.0489946
\(715\) 0.472245 0.0176610
\(716\) −5.80905 + 10.0616i −0.217095 + 0.376019i
\(717\) 0.571800 + 0.990386i 0.0213542 + 0.0369866i
\(718\) −9.54143 + 16.5262i −0.356083 + 0.616754i
\(719\) 10.0278 + 17.3686i 0.373972 + 0.647739i 0.990173 0.139851i \(-0.0446622\pi\)
−0.616200 + 0.787589i \(0.711329\pi\)
\(720\) −2.53582 4.39216i −0.0945043 0.163686i
\(721\) 4.06535 0.151402
\(722\) 20.8357 + 0.807171i 0.775424 + 0.0300398i
\(723\) 9.02026 0.335467
\(724\) −2.16117 3.74326i −0.0803193 0.139117i
\(725\) −2.48530 4.30466i −0.0923016 0.159871i
\(726\) −2.28587 + 3.95923i −0.0848364 + 0.146941i
\(727\) 0.390261 + 0.675951i 0.0144740 + 0.0250697i 0.873172 0.487413i \(-0.162059\pi\)
−0.858698 + 0.512482i \(0.828726\pi\)
\(728\) 10.2039 17.6736i 0.378180 0.655028i
\(729\) −19.5373 −0.723604
\(730\) −6.96036 −0.257615
\(731\) 7.06674 12.2399i 0.261373 0.452711i
\(732\) −1.38468 + 2.39834i −0.0511794 + 0.0886452i
\(733\) −26.8391 −0.991326 −0.495663 0.868515i \(-0.665075\pi\)
−0.495663 + 0.868515i \(0.665075\pi\)
\(734\) 28.3192 1.04528
\(735\) −0.647958 + 1.12230i −0.0239003 + 0.0413965i
\(736\) −11.2426 19.4728i −0.414409 0.717777i
\(737\) 0.198478 0.343774i 0.00731103 0.0126631i
\(738\) 16.6636 + 28.8623i 0.613397 + 1.06243i
\(739\) −10.3265 17.8861i −0.379867 0.657949i 0.611175 0.791495i \(-0.290697\pi\)
−0.991043 + 0.133546i \(0.957364\pi\)
\(740\) 1.35113 0.0496685
\(741\) −2.80699 5.08680i −0.103117 0.186868i
\(742\) −0.550227 −0.0201995
\(743\) −0.736585 1.27580i −0.0270227 0.0468047i 0.852198 0.523220i \(-0.175269\pi\)
−0.879220 + 0.476415i \(0.841936\pi\)
\(744\) −3.82003 6.61649i −0.140049 0.242572i
\(745\) 11.1272 19.2728i 0.407668 0.706102i
\(746\) −14.8518 25.7240i −0.543762 0.941824i
\(747\) 10.6352 18.4208i 0.389123 0.673980i
\(748\) 0.177639 0.00649514
\(749\) −1.89482 −0.0692352
\(750\) 0.208148 0.360522i 0.00760048 0.0131644i
\(751\) −7.78121 + 13.4775i −0.283940 + 0.491799i −0.972352 0.233521i \(-0.924975\pi\)
0.688411 + 0.725321i \(0.258308\pi\)
\(752\) 19.7378 0.719764
\(753\) −6.52071 −0.237628
\(754\) −9.58356 + 16.5992i −0.349013 + 0.604508i
\(755\) −1.66741 2.88804i −0.0606832 0.105106i
\(756\) 1.67293 2.89760i 0.0608438 0.105385i
\(757\) −10.0878 17.4726i −0.366647 0.635052i 0.622392 0.782706i \(-0.286161\pi\)
−0.989039 + 0.147654i \(0.952828\pi\)
\(758\) −6.80568 11.7878i −0.247193 0.428152i
\(759\) −0.273767 −0.00993713
\(760\) −6.90957 + 11.4499i −0.250637 + 0.415333i
\(761\) −15.1076 −0.547649 −0.273825 0.961780i \(-0.588289\pi\)
−0.273825 + 0.961780i \(0.588289\pi\)
\(762\) 3.90062 + 6.75607i 0.141305 + 0.244747i
\(763\) −15.3934 26.6621i −0.557278 0.965234i
\(764\) 8.14556 14.1085i 0.294696 0.510428i
\(765\) −2.37232 4.10898i −0.0857715 0.148561i
\(766\) 2.94082 5.09364i 0.106256 0.184041i
\(767\) −24.2331 −0.875005
\(768\) 5.94509 0.214525
\(769\) −25.8290 + 44.7372i −0.931418 + 1.61326i −0.150518 + 0.988607i \(0.548094\pi\)
−0.780900 + 0.624656i \(0.785239\pi\)
\(770\) −0.139610 + 0.241811i −0.00503118 + 0.00871426i
\(771\) 7.41327 0.266982
\(772\) −8.77063 −0.315662
\(773\) −15.0779 + 26.1157i −0.542314 + 0.939316i 0.456457 + 0.889746i \(0.349118\pi\)
−0.998771 + 0.0495699i \(0.984215\pi\)
\(774\)