Properties

Label 370.2.v.a.289.9
Level $370$
Weight $2$
Character 370.289
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 289.9
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.a.169.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(1.00832 - 2.77035i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.557866 - 2.16536i) q^{5} +2.94814i q^{6} +(-3.81365 + 0.672450i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.35998 - 3.65846i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(1.00832 - 2.77035i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.557866 - 2.16536i) q^{5} +2.94814i q^{6} +(-3.81365 + 0.672450i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.35998 - 3.65846i) q^{9} +(0.216374 + 2.22557i) q^{10} +(0.398832 - 0.690798i) q^{11} +(-1.00832 - 2.77035i) q^{12} +(2.06626 - 1.73380i) q^{13} +(3.35367 - 1.93624i) q^{14} +(-5.43629 - 3.72887i) q^{15} +(0.173648 - 0.984808i) q^{16} +(0.125279 + 0.105121i) q^{17} +(5.34831 + 1.94663i) q^{18} +(-1.41140 + 3.87778i) q^{19} +(-0.964516 - 2.01735i) q^{20} +(-1.98248 + 11.2432i) q^{21} +(-0.138513 + 0.785546i) q^{22} +(3.01846 + 5.22813i) q^{23} +(1.89503 + 2.25841i) q^{24} +(-4.37757 - 2.41596i) q^{25} +(-1.34865 + 2.33594i) q^{26} +(-6.87199 + 3.96754i) q^{27} +(-2.48918 + 2.96649i) q^{28} +(0.297824 + 0.171949i) q^{29} +(6.38379 + 1.64467i) q^{30} -8.59147i q^{31} +(0.173648 + 0.984808i) q^{32} +(-1.51160 - 1.80145i) q^{33} +(-0.153677 - 0.0559338i) q^{34} +(-0.671412 + 8.63307i) q^{35} -5.69155 q^{36} +(-2.54961 - 5.52264i) q^{37} -4.12665i q^{38} +(-2.71976 - 7.47248i) q^{39} +(1.59632 + 1.56581i) q^{40} +(8.50186 - 7.13391i) q^{41} +(-1.98248 - 11.2432i) q^{42} +9.32357 q^{43} +(-0.138513 - 0.785546i) q^{44} +(-10.3542 + 7.40000i) q^{45} +(-4.62455 - 3.88046i) q^{46} +(-6.52052 + 3.76462i) q^{47} +(-2.55317 - 1.47407i) q^{48} +(7.51390 - 2.73484i) q^{49} +(4.93988 + 0.773045i) q^{50} +(0.417544 - 0.241069i) q^{51} +(0.468383 - 2.65633i) q^{52} +(-6.98232 - 1.23117i) q^{53} +(5.10058 - 6.07863i) q^{54} +(-1.27333 - 1.24899i) q^{55} +(1.32447 - 3.63894i) q^{56} +(9.31966 + 7.82012i) q^{57} +(-0.338673 - 0.0597171i) q^{58} +(-4.82650 - 0.851041i) q^{59} +(-6.56131 + 0.637902i) q^{60} +(-5.93727 - 7.07577i) q^{61} +(2.93846 + 8.07334i) q^{62} +(19.0876 + 11.0202i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-2.60160 - 5.44142i) q^{65} +(2.03657 + 1.17582i) q^{66} +(8.06169 - 1.42149i) q^{67} +0.163540 q^{68} +(17.5273 - 3.09054i) q^{69} +(-2.32176 - 8.34207i) q^{70} +(5.42285 + 1.97375i) q^{71} +(5.34831 - 1.94663i) q^{72} -7.77329i q^{73} +(4.28470 + 4.31756i) q^{74} +(-11.1071 + 9.69132i) q^{75} +(1.41140 + 3.87778i) q^{76} +(-1.05648 + 2.90266i) q^{77} +(5.11148 + 6.09163i) q^{78} +(9.00388 - 1.58763i) q^{79} +(-2.03559 - 0.925402i) q^{80} +(1.09730 + 6.22312i) q^{81} +(-5.54920 + 9.61149i) q^{82} +(-5.14370 + 6.13003i) q^{83} +(5.70832 + 9.88710i) q^{84} +(0.297514 - 0.212630i) q^{85} +(-8.76129 + 3.18885i) q^{86} +(0.776661 - 0.651696i) q^{87} +(0.398832 + 0.690798i) q^{88} +(6.57356 + 1.15910i) q^{89} +(7.19879 - 10.4951i) q^{90} +(-6.71410 + 8.00155i) q^{91} +(5.67285 + 2.06475i) q^{92} +(-23.8014 - 8.66299i) q^{93} +(4.83971 - 5.76774i) q^{94} +(7.60942 + 5.21947i) q^{95} +(2.90336 + 0.511940i) q^{96} +(-7.58170 - 13.1319i) q^{97} +(-6.12539 + 5.13981i) q^{98} +(-4.26616 + 1.55275i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 + 0.342020i −0.664463 + 0.241845i
\(3\) 1.00832 2.77035i 0.582157 1.59946i −0.202331 0.979317i \(-0.564852\pi\)
0.784487 0.620145i \(-0.212926\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) 0.557866 2.16536i 0.249485 0.968379i
\(6\) 2.94814i 1.20357i
\(7\) −3.81365 + 0.672450i −1.44142 + 0.254162i −0.839051 0.544052i \(-0.816889\pi\)
−0.602374 + 0.798214i \(0.705778\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) −4.35998 3.65846i −1.45333 1.21949i
\(10\) 0.216374 + 2.22557i 0.0684235 + 0.703788i
\(11\) 0.398832 0.690798i 0.120252 0.208283i −0.799615 0.600513i \(-0.794963\pi\)
0.919867 + 0.392230i \(0.128296\pi\)
\(12\) −1.00832 2.77035i −0.291078 0.799731i
\(13\) 2.06626 1.73380i 0.573077 0.480868i −0.309589 0.950871i \(-0.600191\pi\)
0.882665 + 0.470002i \(0.155747\pi\)
\(14\) 3.35367 1.93624i 0.896306 0.517482i
\(15\) −5.43629 3.72887i −1.40365 0.962790i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 0.125279 + 0.105121i 0.0303845 + 0.0254956i 0.657853 0.753146i \(-0.271465\pi\)
−0.627469 + 0.778642i \(0.715909\pi\)
\(18\) 5.34831 + 1.94663i 1.26061 + 0.458824i
\(19\) −1.41140 + 3.87778i −0.323797 + 0.889624i 0.665848 + 0.746087i \(0.268070\pi\)
−0.989645 + 0.143537i \(0.954152\pi\)
\(20\) −0.964516 2.01735i −0.215672 0.451094i
\(21\) −1.98248 + 11.2432i −0.432612 + 2.45347i
\(22\) −0.138513 + 0.785546i −0.0295311 + 0.167479i
\(23\) 3.01846 + 5.22813i 0.629393 + 1.09014i 0.987674 + 0.156527i \(0.0500297\pi\)
−0.358281 + 0.933614i \(0.616637\pi\)
\(24\) 1.89503 + 2.25841i 0.386821 + 0.460996i
\(25\) −4.37757 2.41596i −0.875514 0.483193i
\(26\) −1.34865 + 2.33594i −0.264493 + 0.458115i
\(27\) −6.87199 + 3.96754i −1.32251 + 0.763554i
\(28\) −2.48918 + 2.96649i −0.470412 + 0.560615i
\(29\) 0.297824 + 0.171949i 0.0553045 + 0.0319301i 0.527397 0.849619i \(-0.323168\pi\)
−0.472093 + 0.881549i \(0.656501\pi\)
\(30\) 6.38379 + 1.64467i 1.16552 + 0.300274i
\(31\) 8.59147i 1.54307i −0.636184 0.771537i \(-0.719488\pi\)
0.636184 0.771537i \(-0.280512\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) −1.51160 1.80145i −0.263136 0.313593i
\(34\) −0.153677 0.0559338i −0.0263554 0.00959257i
\(35\) −0.671412 + 8.63307i −0.113489 + 1.45925i
\(36\) −5.69155 −0.948592
\(37\) −2.54961 5.52264i −0.419153 0.907916i
\(38\) 4.12665i 0.669431i
\(39\) −2.71976 7.47248i −0.435510 1.19656i
\(40\) 1.59632 + 1.56581i 0.252401 + 0.247576i
\(41\) 8.50186 7.13391i 1.32777 1.11413i 0.343174 0.939272i \(-0.388498\pi\)
0.984594 0.174858i \(-0.0559466\pi\)
\(42\) −1.98248 11.2432i −0.305903 1.73486i
\(43\) 9.32357 1.42183 0.710915 0.703278i \(-0.248281\pi\)
0.710915 + 0.703278i \(0.248281\pi\)
\(44\) −0.138513 0.785546i −0.0208816 0.118426i
\(45\) −10.3542 + 7.40000i −1.54351 + 1.10313i
\(46\) −4.62455 3.88046i −0.681853 0.572143i
\(47\) −6.52052 + 3.76462i −0.951115 + 0.549127i −0.893427 0.449208i \(-0.851706\pi\)
−0.0576880 + 0.998335i \(0.518373\pi\)
\(48\) −2.55317 1.47407i −0.368518 0.212764i
\(49\) 7.51390 2.73484i 1.07341 0.390691i
\(50\) 4.93988 + 0.773045i 0.698604 + 0.109325i
\(51\) 0.417544 0.241069i 0.0584678 0.0337564i
\(52\) 0.468383 2.65633i 0.0649530 0.368367i
\(53\) −6.98232 1.23117i −0.959095 0.169114i −0.327877 0.944720i \(-0.606333\pi\)
−0.631217 + 0.775606i \(0.717444\pi\)
\(54\) 5.10058 6.07863i 0.694100 0.827197i
\(55\) −1.27333 1.24899i −0.171696 0.168414i
\(56\) 1.32447 3.63894i 0.176989 0.486274i
\(57\) 9.31966 + 7.82012i 1.23442 + 1.03580i
\(58\) −0.338673 0.0597171i −0.0444699 0.00784124i
\(59\) −4.82650 0.851041i −0.628356 0.110796i −0.149604 0.988746i \(-0.547800\pi\)
−0.478753 + 0.877950i \(0.658911\pi\)
\(60\) −6.56131 + 0.637902i −0.847062 + 0.0823528i
\(61\) −5.93727 7.07577i −0.760190 0.905959i 0.237670 0.971346i \(-0.423616\pi\)
−0.997860 + 0.0653869i \(0.979172\pi\)
\(62\) 2.93846 + 8.07334i 0.373184 + 1.02532i
\(63\) 19.0876 + 11.0202i 2.40481 + 1.38842i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −2.60160 5.44142i −0.322688 0.674925i
\(66\) 2.03657 + 1.17582i 0.250685 + 0.144733i
\(67\) 8.06169 1.42149i 0.984892 0.173663i 0.342067 0.939676i \(-0.388873\pi\)
0.642825 + 0.766013i \(0.277762\pi\)
\(68\) 0.163540 0.0198321
\(69\) 17.5273 3.09054i 2.11004 0.372058i
\(70\) −2.32176 8.34207i −0.277504 0.997068i
\(71\) 5.42285 + 1.97375i 0.643573 + 0.234242i 0.643128 0.765758i \(-0.277636\pi\)
0.000444939 1.00000i \(0.499858\pi\)
\(72\) 5.34831 1.94663i 0.630304 0.229412i
\(73\) 7.77329i 0.909794i −0.890544 0.454897i \(-0.849676\pi\)
0.890544 0.454897i \(-0.150324\pi\)
\(74\) 4.28470 + 4.31756i 0.498086 + 0.501907i
\(75\) −11.1071 + 9.69132i −1.28253 + 1.11906i
\(76\) 1.41140 + 3.87778i 0.161898 + 0.444812i
\(77\) −1.05648 + 2.90266i −0.120397 + 0.330788i
\(78\) 5.11148 + 6.09163i 0.578761 + 0.689741i
\(79\) 9.00388 1.58763i 1.01302 0.178622i 0.357588 0.933880i \(-0.383599\pi\)
0.655428 + 0.755258i \(0.272488\pi\)
\(80\) −2.03559 0.925402i −0.227586 0.103463i
\(81\) 1.09730 + 6.22312i 0.121923 + 0.691458i
\(82\) −5.54920 + 9.61149i −0.612806 + 1.06141i
\(83\) −5.14370 + 6.13003i −0.564595 + 0.672858i −0.970512 0.241052i \(-0.922508\pi\)
0.405917 + 0.913910i \(0.366952\pi\)
\(84\) 5.70832 + 9.88710i 0.622829 + 1.07877i
\(85\) 0.297514 0.212630i 0.0322699 0.0230629i
\(86\) −8.76129 + 3.18885i −0.944754 + 0.343862i
\(87\) 0.776661 0.651696i 0.0832668 0.0698691i
\(88\) 0.398832 + 0.690798i 0.0425157 + 0.0736393i
\(89\) 6.57356 + 1.15910i 0.696796 + 0.122864i 0.510817 0.859690i \(-0.329343\pi\)
0.185980 + 0.982554i \(0.440454\pi\)
\(90\) 7.19879 10.4951i 0.758819 1.10628i
\(91\) −6.71410 + 8.00155i −0.703829 + 0.838790i
\(92\) 5.67285 + 2.06475i 0.591436 + 0.215265i
\(93\) −23.8014 8.66299i −2.46809 0.898311i
\(94\) 4.83971 5.76774i 0.499177 0.594897i
\(95\) 7.60942 + 5.21947i 0.780710 + 0.535506i
\(96\) 2.90336 + 0.511940i 0.296322 + 0.0522496i
\(97\) −7.58170 13.1319i −0.769805 1.33334i −0.937668 0.347531i \(-0.887020\pi\)
0.167863 0.985810i \(-0.446313\pi\)
\(98\) −6.12539 + 5.13981i −0.618758 + 0.519200i
\(99\) −4.26616 + 1.55275i −0.428765 + 0.156058i
\(100\) −4.90636 + 0.963113i −0.490636 + 0.0963113i
\(101\) 6.68724 + 11.5826i 0.665405 + 1.15252i 0.979175 + 0.203016i \(0.0650745\pi\)
−0.313770 + 0.949499i \(0.601592\pi\)
\(102\) −0.309912 + 0.369339i −0.0306859 + 0.0365700i
\(103\) −5.82874 + 10.0957i −0.574323 + 0.994756i 0.421792 + 0.906692i \(0.361401\pi\)
−0.996115 + 0.0880634i \(0.971932\pi\)
\(104\) 0.468383 + 2.65633i 0.0459287 + 0.260475i
\(105\) 23.2396 + 10.5650i 2.26795 + 1.03104i
\(106\) 6.98232 1.23117i 0.678182 0.119582i
\(107\) 8.90238 + 10.6094i 0.860626 + 1.02565i 0.999376 + 0.0353266i \(0.0112472\pi\)
−0.138750 + 0.990327i \(0.544308\pi\)
\(108\) −2.71396 + 7.45654i −0.261151 + 0.717506i
\(109\) −2.18848 6.01281i −0.209619 0.575922i 0.789674 0.613527i \(-0.210250\pi\)
−0.999293 + 0.0376041i \(0.988027\pi\)
\(110\) 1.62372 + 0.738160i 0.154816 + 0.0703808i
\(111\) −17.8705 + 1.49469i −1.69619 + 0.141870i
\(112\) 3.87248i 0.365915i
\(113\) 17.5128 6.37414i 1.64747 0.599629i 0.659146 0.752015i \(-0.270918\pi\)
0.988321 + 0.152386i \(0.0486957\pi\)
\(114\) −11.4323 4.16100i −1.07073 0.389713i
\(115\) 13.0047 3.61946i 1.21269 0.337516i
\(116\) 0.338673 0.0597171i 0.0314450 0.00554460i
\(117\) −15.3519 −1.41928
\(118\) 4.82650 0.851041i 0.444315 0.0783447i
\(119\) −0.548458 0.316652i −0.0502770 0.0290274i
\(120\) 5.94744 2.84353i 0.542925 0.259578i
\(121\) 5.18187 + 8.97525i 0.471079 + 0.815932i
\(122\) 7.99927 + 4.61838i 0.724220 + 0.418128i
\(123\) −11.1908 30.7464i −1.00904 2.77231i
\(124\) −5.52249 6.58145i −0.495934 0.591032i
\(125\) −7.67353 + 8.13123i −0.686341 + 0.727280i
\(126\) −21.7056 3.82728i −1.93369 0.340962i
\(127\) 14.1327 + 2.49197i 1.25407 + 0.221127i 0.760937 0.648825i \(-0.224739\pi\)
0.493136 + 0.869952i \(0.335851\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) 9.40118 25.8295i 0.827728 2.27416i
\(130\) 4.30578 + 4.22346i 0.377642 + 0.370422i
\(131\) 2.66320 3.17388i 0.232685 0.277303i −0.637050 0.770823i \(-0.719845\pi\)
0.869735 + 0.493520i \(0.164290\pi\)
\(132\) −2.31590 0.408356i −0.201574 0.0355429i
\(133\) 2.77496 15.7376i 0.240620 1.36462i
\(134\) −7.08933 + 4.09303i −0.612425 + 0.353584i
\(135\) 4.75751 + 17.0937i 0.409461 + 1.47119i
\(136\) −0.153677 + 0.0559338i −0.0131777 + 0.00479629i
\(137\) 18.2905 + 10.5600i 1.56266 + 0.902202i 0.996987 + 0.0775718i \(0.0247167\pi\)
0.565673 + 0.824630i \(0.308617\pi\)
\(138\) −15.4133 + 8.89886i −1.31207 + 0.757521i
\(139\) −5.04858 4.23626i −0.428215 0.359315i 0.403063 0.915172i \(-0.367946\pi\)
−0.831278 + 0.555857i \(0.812390\pi\)
\(140\) 5.03490 + 7.04489i 0.425527 + 0.595402i
\(141\) 3.85452 + 21.8601i 0.324609 + 1.84095i
\(142\) −5.77087 −0.484281
\(143\) −0.373612 2.11886i −0.0312430 0.177188i
\(144\) −4.35998 + 3.65846i −0.363332 + 0.304872i
\(145\) 0.538476 0.548971i 0.0447180 0.0455896i
\(146\) 2.65862 + 7.30450i 0.220029 + 0.604525i
\(147\) 23.5737i 1.94433i
\(148\) −5.50299 2.59173i −0.452343 0.213039i
\(149\) 6.23024 0.510401 0.255200 0.966888i \(-0.417859\pi\)
0.255200 + 0.966888i \(0.417859\pi\)
\(150\) 7.12261 12.9057i 0.581558 1.05375i
\(151\) −0.747866 0.272201i −0.0608605 0.0221514i 0.311411 0.950275i \(-0.399199\pi\)
−0.372271 + 0.928124i \(0.621421\pi\)
\(152\) −2.65256 3.16120i −0.215151 0.256407i
\(153\) −0.161631 0.916653i −0.0130671 0.0741070i
\(154\) 3.08894i 0.248914i
\(155\) −18.6036 4.79289i −1.49428 0.384974i
\(156\) −6.88668 3.97603i −0.551376 0.318337i
\(157\) −2.07228 + 2.46965i −0.165386 + 0.197099i −0.842372 0.538897i \(-0.818841\pi\)
0.676986 + 0.735996i \(0.263286\pi\)
\(158\) −7.91788 + 4.57139i −0.629913 + 0.363680i
\(159\) −10.4512 + 18.1020i −0.828835 + 1.43558i
\(160\) 2.22934 + 0.173380i 0.176244 + 0.0137069i
\(161\) −15.0270 17.9085i −1.18429 1.41139i
\(162\) −3.15956 5.47252i −0.248238 0.429962i
\(163\) 1.47444 8.36199i 0.115487 0.654962i −0.871020 0.491247i \(-0.836541\pi\)
0.986508 0.163715i \(-0.0523476\pi\)
\(164\) 1.92722 10.9298i 0.150490 0.853473i
\(165\) −4.74407 + 2.26819i −0.369325 + 0.176578i
\(166\) 2.73691 7.51959i 0.212425 0.583634i
\(167\) −18.9774 6.90722i −1.46852 0.534496i −0.520820 0.853667i \(-0.674374\pi\)
−0.947697 + 0.319170i \(0.896596\pi\)
\(168\) −8.74565 7.33847i −0.674742 0.566176i
\(169\) −0.994054 + 5.63756i −0.0764657 + 0.433659i
\(170\) −0.206848 + 0.301562i −0.0158645 + 0.0231288i
\(171\) 20.3404 11.7435i 1.55547 0.898049i
\(172\) 7.14227 5.99307i 0.544593 0.456968i
\(173\) 4.26227 + 11.7105i 0.324054 + 0.890332i 0.989584 + 0.143960i \(0.0459837\pi\)
−0.665529 + 0.746372i \(0.731794\pi\)
\(174\) −0.506929 + 0.878027i −0.0384302 + 0.0665631i
\(175\) 18.3191 + 6.26994i 1.38480 + 0.473963i
\(176\) −0.611047 0.512729i −0.0460594 0.0386484i
\(177\) −7.22436 + 12.5130i −0.543016 + 0.940531i
\(178\) −6.57356 + 1.15910i −0.492709 + 0.0868780i
\(179\) 2.36988i 0.177133i 0.996070 + 0.0885666i \(0.0282286\pi\)
−0.996070 + 0.0885666i \(0.971771\pi\)
\(180\) −3.17513 + 12.3243i −0.236660 + 0.918596i
\(181\) −7.43805 + 6.24127i −0.552866 + 0.463910i −0.875910 0.482474i \(-0.839738\pi\)
0.323044 + 0.946384i \(0.395294\pi\)
\(182\) 3.57250 9.81535i 0.264811 0.727562i
\(183\) −25.5890 + 9.31365i −1.89160 + 0.688485i
\(184\) −6.03692 −0.445048
\(185\) −13.3808 + 2.43993i −0.983779 + 0.179387i
\(186\) 25.3289 1.85721
\(187\) 0.122583 0.0446164i 0.00896413 0.00326268i
\(188\) −2.57515 + 7.07518i −0.187812 + 0.516010i
\(189\) 23.5394 19.7519i 1.71224 1.43674i
\(190\) −8.93568 2.30212i −0.648262 0.167013i
\(191\) 11.8501i 0.857442i −0.903437 0.428721i \(-0.858964\pi\)
0.903437 0.428721i \(-0.141036\pi\)
\(192\) −2.90336 + 0.511940i −0.209532 + 0.0369461i
\(193\) 2.57663 4.46286i 0.185470 0.321244i −0.758265 0.651947i \(-0.773953\pi\)
0.943735 + 0.330703i \(0.107286\pi\)
\(194\) 11.6158 + 9.74685i 0.833969 + 0.699783i
\(195\) −17.6979 + 1.72062i −1.26737 + 0.123216i
\(196\) 3.99806 6.92485i 0.285576 0.494632i
\(197\) 6.17205 + 16.9576i 0.439740 + 1.20818i 0.939661 + 0.342106i \(0.111140\pi\)
−0.499921 + 0.866071i \(0.666638\pi\)
\(198\) 3.47780 2.91822i 0.247157 0.207389i
\(199\) −10.4514 + 6.03411i −0.740879 + 0.427747i −0.822389 0.568926i \(-0.807359\pi\)
0.0815096 + 0.996673i \(0.474026\pi\)
\(200\) 4.28107 2.58311i 0.302717 0.182653i
\(201\) 4.19077 23.7670i 0.295594 1.67640i
\(202\) −10.2454 8.59695i −0.720867 0.604879i
\(203\) −1.25142 0.455481i −0.0878327 0.0319685i
\(204\) 0.164901 0.453062i 0.0115454 0.0317207i
\(205\) −10.7046 22.3894i −0.747641 1.56374i
\(206\) 2.02430 11.4804i 0.141040 0.799875i
\(207\) 5.96646 33.8375i 0.414698 2.35187i
\(208\) −1.34865 2.33594i −0.0935123 0.161968i
\(209\) 2.11585 + 2.52157i 0.146357 + 0.174421i
\(210\) −25.4515 1.97942i −1.75632 0.136593i
\(211\) 0.743877 1.28843i 0.0512106 0.0886994i −0.839284 0.543694i \(-0.817025\pi\)
0.890494 + 0.454994i \(0.150359\pi\)
\(212\) −6.14015 + 3.54501i −0.421707 + 0.243473i
\(213\) 10.9360 13.0330i 0.749321 0.893006i
\(214\) −11.9941 6.92483i −0.819903 0.473371i
\(215\) 5.20130 20.1889i 0.354726 1.37687i
\(216\) 7.93509i 0.539914i
\(217\) 5.77733 + 32.7649i 0.392191 + 2.22423i
\(218\) 4.11300 + 4.90169i 0.278568 + 0.331984i
\(219\) −21.5347 7.83800i −1.45518 0.529643i
\(220\) −1.77826 0.138299i −0.119890 0.00932413i
\(221\) 0.441116 0.0296727
\(222\) 16.2815 7.51661i 1.09274 0.504482i
\(223\) 15.5050i 1.03829i −0.854685 0.519147i \(-0.826250\pi\)
0.854685 0.519147i \(-0.173750\pi\)
\(224\) −1.32447 3.63894i −0.0884947 0.243137i
\(225\) 10.2474 + 26.5487i 0.683162 + 1.76991i
\(226\) −14.2766 + 11.9795i −0.949664 + 0.796863i
\(227\) −0.436526 2.47566i −0.0289732 0.164315i 0.966888 0.255200i \(-0.0821415\pi\)
−0.995861 + 0.0908852i \(0.971030\pi\)
\(228\) 12.1660 0.805710
\(229\) 2.42144 + 13.7326i 0.160013 + 0.907478i 0.954059 + 0.299620i \(0.0968600\pi\)
−0.794046 + 0.607858i \(0.792029\pi\)
\(230\) −10.9825 + 7.84904i −0.724163 + 0.517551i
\(231\) 6.97610 + 5.85364i 0.458994 + 0.385141i
\(232\) −0.297824 + 0.171949i −0.0195531 + 0.0112890i
\(233\) −8.61561 4.97423i −0.564428 0.325872i 0.190493 0.981689i \(-0.438991\pi\)
−0.754921 + 0.655816i \(0.772325\pi\)
\(234\) 14.4260 5.25065i 0.943060 0.343246i
\(235\) 4.51419 + 16.2194i 0.294473 + 1.05804i
\(236\) −4.24435 + 2.45048i −0.276284 + 0.159512i
\(237\) 4.68055 26.5447i 0.304035 1.72427i
\(238\) 0.623683 + 0.109972i 0.0404274 + 0.00712843i
\(239\) −10.9231 + 13.0176i −0.706554 + 0.842038i −0.993251 0.115983i \(-0.962998\pi\)
0.286698 + 0.958021i \(0.407443\pi\)
\(240\) −4.61622 + 4.70619i −0.297976 + 0.303783i
\(241\) −5.50076 + 15.1132i −0.354335 + 0.973528i 0.626625 + 0.779321i \(0.284436\pi\)
−0.980961 + 0.194207i \(0.937787\pi\)
\(242\) −7.93908 6.66168i −0.510343 0.428229i
\(243\) −5.09696 0.898731i −0.326970 0.0576536i
\(244\) −9.09643 1.60395i −0.582339 0.102682i
\(245\) −1.73016 17.7960i −0.110536 1.13694i
\(246\) 21.0318 + 25.0647i 1.34094 + 1.59807i
\(247\) 3.80697 + 10.4596i 0.242232 + 0.665526i
\(248\) 7.44043 + 4.29574i 0.472468 + 0.272780i
\(249\) 11.7958 + 20.4309i 0.747528 + 1.29476i
\(250\) 4.42971 10.2654i 0.280160 0.649238i
\(251\) 2.24068 + 1.29366i 0.141431 + 0.0816550i 0.569046 0.822306i \(-0.307313\pi\)
−0.427615 + 0.903961i \(0.640646\pi\)
\(252\) 21.7056 3.82728i 1.36732 0.241096i
\(253\) 4.81544 0.302744
\(254\) −14.1327 + 2.49197i −0.886764 + 0.156360i
\(255\) −0.289068 1.03862i −0.0181021 0.0650407i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 19.5474 7.11468i 1.21934 0.443802i 0.349403 0.936973i \(-0.386385\pi\)
0.869932 + 0.493171i \(0.164162\pi\)
\(258\) 27.4872i 1.71128i
\(259\) 13.4370 + 19.3469i 0.834935 + 1.20216i
\(260\) −5.49062 2.49609i −0.340514 0.154801i
\(261\) −0.669439 1.83927i −0.0414372 0.113848i
\(262\) −1.41706 + 3.89334i −0.0875462 + 0.240531i
\(263\) 6.47713 + 7.71914i 0.399397 + 0.475982i 0.927836 0.372989i \(-0.121667\pi\)
−0.528439 + 0.848971i \(0.677223\pi\)
\(264\) 2.31590 0.408356i 0.142534 0.0251326i
\(265\) −6.56113 + 14.4324i −0.403047 + 0.886575i
\(266\) 2.77496 + 15.7376i 0.170144 + 0.964934i
\(267\) 9.83939 17.0423i 0.602161 1.04297i
\(268\) 5.26189 6.27088i 0.321421 0.383055i
\(269\) −7.73859 13.4036i −0.471830 0.817234i 0.527650 0.849462i \(-0.323073\pi\)
−0.999481 + 0.0322277i \(0.989740\pi\)
\(270\) −10.3170 14.4356i −0.627872 0.878525i
\(271\) −17.9814 + 6.54471i −1.09229 + 0.397563i −0.824470 0.565905i \(-0.808527\pi\)
−0.267824 + 0.963468i \(0.586305\pi\)
\(272\) 0.125279 0.105121i 0.00759613 0.00637391i
\(273\) 15.3971 + 26.6686i 0.931875 + 1.61405i
\(274\) −20.7991 3.66745i −1.25652 0.221559i
\(275\) −3.41486 + 2.06045i −0.205924 + 0.124250i
\(276\) 11.4402 13.6338i 0.688616 0.820661i
\(277\) 23.2905 + 8.47705i 1.39939 + 0.509336i 0.927997 0.372587i \(-0.121529\pi\)
0.471393 + 0.881923i \(0.343751\pi\)
\(278\) 6.19300 + 2.25407i 0.371431 + 0.135190i
\(279\) −31.4316 + 37.4587i −1.88176 + 2.24259i
\(280\) −7.14075 4.89799i −0.426741 0.292711i
\(281\) 12.6433 + 2.22935i 0.754235 + 0.132992i 0.537529 0.843245i \(-0.319358\pi\)
0.216706 + 0.976237i \(0.430469\pi\)
\(282\) −11.0986 19.2234i −0.660915 1.14474i
\(283\) −17.7216 + 14.8701i −1.05344 + 0.883939i −0.993451 0.114261i \(-0.963550\pi\)
−0.0599861 + 0.998199i \(0.519106\pi\)
\(284\) 5.42285 1.97375i 0.321787 0.117121i
\(285\) 22.1325 15.8178i 1.31102 0.936968i
\(286\) 1.07577 + 1.86329i 0.0636118 + 0.110179i
\(287\) −27.6260 + 32.9233i −1.63071 + 1.94340i
\(288\) 2.84578 4.92903i 0.167689 0.290446i
\(289\) −2.94737 16.7154i −0.173375 0.983258i
\(290\) −0.318243 + 0.700034i −0.0186879 + 0.0411074i
\(291\) −44.0247 + 7.76275i −2.58078 + 0.455060i
\(292\) −4.99657 5.95468i −0.292402 0.348471i
\(293\) 5.90009 16.2104i 0.344687 0.947019i −0.639328 0.768934i \(-0.720788\pi\)
0.984015 0.178085i \(-0.0569902\pi\)
\(294\) 8.06270 + 22.1521i 0.470226 + 1.29194i
\(295\) −4.53535 + 9.97633i −0.264058 + 0.580845i
\(296\) 6.05755 + 0.553293i 0.352088 + 0.0321595i
\(297\) 6.32954i 0.367277i
\(298\) −5.85451 + 2.13087i −0.339142 + 0.123438i
\(299\) 15.3014 + 5.56927i 0.884905 + 0.322079i
\(300\) −2.27905 + 14.5635i −0.131581 + 0.840823i
\(301\) −35.5568 + 6.26963i −2.04946 + 0.361375i
\(302\) 0.795863 0.0457967
\(303\) 38.8309 6.84693i 2.23077 0.393346i
\(304\) 3.57378 + 2.06332i 0.204970 + 0.118340i
\(305\) −18.6338 + 8.90900i −1.06697 + 0.510128i
\(306\) 0.465397 + 0.806091i 0.0266050 + 0.0460812i
\(307\) 6.39993 + 3.69500i 0.365263 + 0.210885i 0.671387 0.741107i \(-0.265699\pi\)
−0.306124 + 0.951992i \(0.599032\pi\)
\(308\) 1.05648 + 2.90266i 0.0601986 + 0.165394i
\(309\) 22.0913 + 26.3273i 1.25673 + 1.49771i
\(310\) 19.1210 1.85897i 1.08600 0.105583i
\(311\) 3.13779 + 0.553278i 0.177928 + 0.0313735i 0.261902 0.965094i \(-0.415650\pi\)
−0.0839742 + 0.996468i \(0.526761\pi\)
\(312\) 7.83124 + 1.38086i 0.443357 + 0.0781758i
\(313\) 18.9434 + 15.8954i 1.07074 + 0.898460i 0.995120 0.0986763i \(-0.0314609\pi\)
0.0756235 + 0.997136i \(0.475905\pi\)
\(314\) 1.10264 3.02947i 0.0622254 0.170963i
\(315\) 34.5111 35.1837i 1.94448 1.98238i
\(316\) 5.87687 7.00378i 0.330600 0.393993i
\(317\) −28.0761 4.95057i −1.57691 0.278052i −0.684409 0.729098i \(-0.739940\pi\)
−0.892500 + 0.451047i \(0.851051\pi\)
\(318\) 3.62967 20.5849i 0.203542 1.15434i
\(319\) 0.237563 0.137157i 0.0133010 0.00767934i
\(320\) −2.15419 + 0.599554i −0.120423 + 0.0335161i
\(321\) 38.3684 13.9649i 2.14151 0.779447i
\(322\) 20.2458 + 11.6889i 1.12826 + 0.651399i
\(323\) −0.584455 + 0.337435i −0.0325199 + 0.0187754i
\(324\) 4.84073 + 4.06185i 0.268929 + 0.225658i
\(325\) −13.2340 + 2.59781i −0.734089 + 0.144101i
\(326\) 1.47444 + 8.36199i 0.0816619 + 0.463128i
\(327\) −18.8643 −1.04320
\(328\) 1.92722 + 10.9298i 0.106413 + 0.603496i
\(329\) 22.3355 18.7417i 1.23139 1.03326i
\(330\) 3.68220 3.75396i 0.202698 0.206649i
\(331\) −5.39084 14.8112i −0.296308 0.814098i −0.995109 0.0987826i \(-0.968505\pi\)
0.698802 0.715316i \(-0.253717\pi\)
\(332\) 8.00218i 0.439177i
\(333\) −9.08810 + 33.4062i −0.498025 + 1.83065i
\(334\) 20.1954 1.10504
\(335\) 1.41930 18.2495i 0.0775446 0.997075i
\(336\) 10.7281 + 3.90472i 0.585268 + 0.213020i
\(337\) −8.45393 10.0750i −0.460515 0.548820i 0.484951 0.874541i \(-0.338837\pi\)
−0.945466 + 0.325721i \(0.894393\pi\)
\(338\) −0.994054 5.63756i −0.0540694 0.306643i
\(339\) 54.9438i 2.98414i
\(340\) 0.0912332 0.354122i 0.00494781 0.0192050i
\(341\) −5.93497 3.42656i −0.321397 0.185558i
\(342\) −15.0972 + 17.9921i −0.816362 + 0.972902i
\(343\) −3.34069 + 1.92875i −0.180380 + 0.104143i
\(344\) −4.66178 + 8.07445i −0.251347 + 0.435345i
\(345\) 3.08577 39.6771i 0.166132 2.13614i
\(346\) −8.01044 9.54648i −0.430644 0.513222i
\(347\) 3.36885 + 5.83501i 0.180849 + 0.313240i 0.942170 0.335135i \(-0.108782\pi\)
−0.761321 + 0.648375i \(0.775449\pi\)
\(348\) 0.176055 0.998456i 0.00943752 0.0535228i
\(349\) −0.763511 + 4.33009i −0.0408698 + 0.231784i −0.998400 0.0565494i \(-0.981990\pi\)
0.957530 + 0.288334i \(0.0931013\pi\)
\(350\) −19.3588 + 0.373696i −1.03477 + 0.0199749i
\(351\) −7.32038 + 20.1126i −0.390733 + 1.07353i
\(352\) 0.749560 + 0.272817i 0.0399517 + 0.0145412i
\(353\) 2.28922 + 1.92089i 0.121843 + 0.102238i 0.701673 0.712499i \(-0.252437\pi\)
−0.579830 + 0.814737i \(0.696881\pi\)
\(354\) 2.50899 14.2292i 0.133351 0.756274i
\(355\) 7.29911 10.6413i 0.387397 0.564783i
\(356\) 5.78070 3.33749i 0.306376 0.176886i
\(357\) −1.43026 + 1.20013i −0.0756974 + 0.0635177i
\(358\) −0.810547 2.22696i −0.0428387 0.117698i
\(359\) −14.2744 + 24.7240i −0.753374 + 1.30488i 0.192804 + 0.981237i \(0.438242\pi\)
−0.946179 + 0.323645i \(0.895092\pi\)
\(360\) −1.23150 12.6670i −0.0649060 0.667608i
\(361\) 1.50970 + 1.26679i 0.0794581 + 0.0666732i
\(362\) 4.85484 8.40884i 0.255165 0.441959i
\(363\) 30.0896 5.30561i 1.57929 0.278472i
\(364\) 10.4453i 0.547481i
\(365\) −16.8320 4.33645i −0.881025 0.226980i
\(366\) 20.8604 17.5039i 1.09039 0.914945i
\(367\) 4.86863 13.3765i 0.254141 0.698245i −0.745361 0.666662i \(-0.767723\pi\)
0.999501 0.0315839i \(-0.0100551\pi\)
\(368\) 5.67285 2.06475i 0.295718 0.107633i
\(369\) −63.1671 −3.28835
\(370\) 11.7394 6.86930i 0.610301 0.357118i
\(371\) 27.4560 1.42545
\(372\) −23.8014 + 8.66299i −1.23404 + 0.449155i
\(373\) −6.22645 + 17.1070i −0.322393 + 0.885768i 0.667583 + 0.744535i \(0.267329\pi\)
−0.989976 + 0.141233i \(0.954893\pi\)
\(374\) −0.0999303 + 0.0838514i −0.00516727 + 0.00433586i
\(375\) 14.7889 + 29.4573i 0.763698 + 1.52117i
\(376\) 7.52924i 0.388291i
\(377\) 0.913504 0.161075i 0.0470479 0.00829581i
\(378\) −15.3642 + 26.6117i −0.790252 + 1.36876i
\(379\) 22.0894 + 18.5352i 1.13466 + 0.952092i 0.999251 0.0386981i \(-0.0123211\pi\)
0.135408 + 0.990790i \(0.456766\pi\)
\(380\) 9.18416 0.892900i 0.471138 0.0458048i
\(381\) 21.1540 36.6398i 1.08375 1.87711i
\(382\) 4.05297 + 11.1354i 0.207368 + 0.569738i
\(383\) 16.9644 14.2348i 0.866840 0.727365i −0.0965902 0.995324i \(-0.530794\pi\)
0.963430 + 0.267959i \(0.0863492\pi\)
\(384\) 2.55317 1.47407i 0.130291 0.0752234i
\(385\) 5.69592 + 3.90696i 0.290291 + 0.199117i
\(386\) −0.894855 + 5.07498i −0.0455469 + 0.258309i
\(387\) −40.6506 34.1099i −2.06639 1.73390i
\(388\) −14.2489 5.18619i −0.723380 0.263289i
\(389\) 0.256254 0.704052i 0.0129926 0.0356969i −0.933027 0.359807i \(-0.882843\pi\)
0.946019 + 0.324110i \(0.105065\pi\)
\(390\) 16.0421 7.66988i 0.812323 0.388380i
\(391\) −0.171439 + 0.972277i −0.00867002 + 0.0491702i
\(392\) −1.38851 + 7.87465i −0.0701305 + 0.397730i
\(393\) −6.10738 10.5783i −0.308077 0.533604i
\(394\) −11.5997 13.8239i −0.584382 0.696440i
\(395\) 1.58518 20.3823i 0.0797589 1.02555i
\(396\) −2.26998 + 3.93171i −0.114071 + 0.197576i
\(397\) 0.366906 0.211833i 0.0184145 0.0106316i −0.490764 0.871292i \(-0.663282\pi\)
0.509179 + 0.860661i \(0.329949\pi\)
\(398\) 7.75731 9.24480i 0.388839 0.463400i
\(399\) −40.8006 23.5562i −2.04258 1.17929i
\(400\) −3.13942 + 3.89154i −0.156971 + 0.194577i
\(401\) 14.9349i 0.745811i −0.927869 0.372906i \(-0.878362\pi\)
0.927869 0.372906i \(-0.121638\pi\)
\(402\) 4.19077 + 23.7670i 0.209016 + 1.18539i
\(403\) −14.8959 17.7522i −0.742016 0.884300i
\(404\) 12.5679 + 4.57434i 0.625276 + 0.227582i
\(405\) 14.0874 + 1.09561i 0.700011 + 0.0544413i
\(406\) 1.33174 0.0660930
\(407\) −4.83189 0.441343i −0.239508 0.0218765i
\(408\) 0.482138i 0.0238694i
\(409\) 1.66787 + 4.58243i 0.0824707 + 0.226586i 0.974073 0.226232i \(-0.0726408\pi\)
−0.891603 + 0.452818i \(0.850419\pi\)
\(410\) 17.7166 + 17.3779i 0.874962 + 0.858235i
\(411\) 47.6976 40.0230i 2.35275 1.97419i
\(412\) 2.02430 + 11.4804i 0.0997301 + 0.565597i
\(413\) 18.9789 0.933888
\(414\) 5.96646 + 33.8375i 0.293236 + 1.66302i
\(415\) 10.4042 + 14.5577i 0.510723 + 0.714610i
\(416\) 2.06626 + 1.73380i 0.101307 + 0.0850063i
\(417\) −16.8265 + 9.71480i −0.823998 + 0.475736i
\(418\) −2.85068 1.64584i −0.139431 0.0805007i
\(419\) −2.48112 + 0.903055i −0.121211 + 0.0441171i −0.401913 0.915678i \(-0.631655\pi\)
0.280703 + 0.959795i \(0.409433\pi\)
\(420\) 24.5936 6.84489i 1.20005 0.333996i
\(421\) −21.3293 + 12.3145i −1.03952 + 0.600170i −0.919699 0.392625i \(-0.871567\pi\)
−0.119826 + 0.992795i \(0.538234\pi\)
\(422\) −0.258346 + 1.46515i −0.0125761 + 0.0713225i
\(423\) 42.2021 + 7.44136i 2.05193 + 0.361811i
\(424\) 4.55738 5.43128i 0.221326 0.263766i
\(425\) −0.294447 0.762844i −0.0142828 0.0370034i
\(426\) −5.81891 + 15.9873i −0.281927 + 0.774589i
\(427\) 27.4008 + 22.9920i 1.32602 + 1.11266i
\(428\) 13.6392 + 2.40497i 0.659278 + 0.116248i
\(429\) −6.24670 1.10146i −0.301594 0.0531791i
\(430\) 2.01738 + 20.7503i 0.0972866 + 1.00067i
\(431\) −11.5541 13.7696i −0.556539 0.663258i 0.412271 0.911061i \(-0.364736\pi\)
−0.968810 + 0.247803i \(0.920291\pi\)
\(432\) 2.71396 + 7.45654i 0.130575 + 0.358753i
\(433\) −19.1016 11.0283i −0.917965 0.529987i −0.0349799 0.999388i \(-0.511137\pi\)
−0.882985 + 0.469401i \(0.844470\pi\)
\(434\) −16.6352 28.8130i −0.798514 1.38307i
\(435\) −0.977883 2.04531i −0.0468859 0.0980651i
\(436\) −5.54143 3.19935i −0.265387 0.153221i
\(437\) −24.5338 + 4.32597i −1.17361 + 0.206939i
\(438\) 22.9168 1.09501
\(439\) 12.8564 2.26694i 0.613604 0.108195i 0.141795 0.989896i \(-0.454712\pi\)
0.471808 + 0.881701i \(0.343601\pi\)
\(440\) 1.71832 0.478243i 0.0819178 0.0227993i
\(441\) −42.7658 15.5655i −2.03647 0.741213i
\(442\) −0.414514 + 0.150871i −0.0197164 + 0.00717619i
\(443\) 29.3309i 1.39355i 0.717288 + 0.696777i \(0.245383\pi\)
−0.717288 + 0.696777i \(0.754617\pi\)
\(444\) −12.7288 + 12.6319i −0.604082 + 0.599484i
\(445\) 6.17703 13.5875i 0.292819 0.644110i
\(446\) 5.30304 + 14.5700i 0.251106 + 0.689908i
\(447\) 6.28210 17.2599i 0.297133 0.816367i
\(448\) 2.48918 + 2.96649i 0.117603 + 0.140154i
\(449\) −28.6341 + 5.04897i −1.35133 + 0.238276i −0.801997 0.597328i \(-0.796229\pi\)
−0.549332 + 0.835604i \(0.685118\pi\)
\(450\) −18.7096 21.4428i −0.881981 1.01082i
\(451\) −1.53727 8.71830i −0.0723873 0.410529i
\(452\) 9.31837 16.1399i 0.438299 0.759157i
\(453\) −1.50818 + 1.79738i −0.0708607 + 0.0844485i
\(454\) 1.25693 + 2.17706i 0.0589904 + 0.102174i
\(455\) 13.5807 + 19.0022i 0.636672 + 0.890838i
\(456\) −11.4323 + 4.16100i −0.535364 + 0.194857i
\(457\) −2.66133 + 2.23312i −0.124492 + 0.104461i −0.702908 0.711281i \(-0.748115\pi\)
0.578416 + 0.815742i \(0.303671\pi\)
\(458\) −6.97224 12.0763i −0.325792 0.564288i
\(459\) −1.27799 0.225343i −0.0596513 0.0105181i
\(460\) 7.63562 11.1319i 0.356013 0.519028i
\(461\) −5.46900 + 6.51769i −0.254717 + 0.303559i −0.878216 0.478265i \(-0.841266\pi\)
0.623499 + 0.781824i \(0.285710\pi\)
\(462\) −8.55745 3.11466i −0.398129 0.144907i
\(463\) −16.0949 5.85806i −0.747993 0.272247i −0.0602320 0.998184i \(-0.519184\pi\)
−0.687761 + 0.725937i \(0.741406\pi\)
\(464\) 0.221053 0.263441i 0.0102621 0.0122299i
\(465\) −32.0365 + 46.7058i −1.48566 + 2.16593i
\(466\) 9.79731 + 1.72753i 0.453852 + 0.0800263i
\(467\) 16.0914 + 27.8712i 0.744622 + 1.28972i 0.950371 + 0.311119i \(0.100704\pi\)
−0.205749 + 0.978605i \(0.565963\pi\)
\(468\) −11.7602 + 9.86799i −0.543616 + 0.456148i
\(469\) −29.7886 + 10.8422i −1.37551 + 0.500644i
\(470\) −9.78932 13.6973i −0.451548 0.631811i
\(471\) 4.75225 + 8.23114i 0.218972 + 0.379271i
\(472\) 3.15027 3.75435i 0.145003 0.172808i
\(473\) 3.71854 6.44070i 0.170979 0.296144i
\(474\) 4.68055 + 26.5447i 0.214985 + 1.21924i
\(475\) 15.5471 13.5654i 0.713348 0.622422i
\(476\) −0.623683 + 0.109972i −0.0285865 + 0.00504056i
\(477\) 25.9386 + 30.9124i 1.18765 + 1.41538i
\(478\) 5.81204 15.9684i 0.265836 0.730379i
\(479\) 3.71800 + 10.2151i 0.169880 + 0.466741i 0.995193 0.0979346i \(-0.0312236\pi\)
−0.825313 + 0.564675i \(0.809001\pi\)
\(480\) 2.72822 6.00122i 0.124526 0.273917i
\(481\) −14.8433 6.99069i −0.676795 0.318748i
\(482\) 16.0832i 0.732567i
\(483\) −64.7649 + 23.5725i −2.94691 + 1.07259i
\(484\) 9.73872 + 3.54460i 0.442669 + 0.161118i
\(485\) −32.6648 + 9.09127i −1.48323 + 0.412814i
\(486\) 5.09696 0.898731i 0.231203 0.0407673i
\(487\) −26.3538 −1.19420 −0.597102 0.802165i \(-0.703681\pi\)
−0.597102 + 0.802165i \(0.703681\pi\)
\(488\) 9.09643 1.60395i 0.411776 0.0726072i
\(489\) −21.6789 12.5163i −0.980355 0.566008i
\(490\) 7.71240 + 16.1310i 0.348411 + 0.728725i
\(491\) 0.680593 + 1.17882i 0.0307147 + 0.0531995i 0.880974 0.473164i \(-0.156888\pi\)
−0.850259 + 0.526364i \(0.823555\pi\)
\(492\) −28.3361 16.3598i −1.27749 0.737558i
\(493\) 0.0192355 + 0.0528491i 0.000866323 + 0.00238020i
\(494\) −7.15477 8.52672i −0.321908 0.383635i
\(495\) 0.982328 + 10.1040i 0.0441523 + 0.454141i
\(496\) −8.46095 1.49189i −0.379908 0.0669880i
\(497\) −22.0081 3.88062i −0.987198 0.174070i
\(498\) −18.0722 15.1644i −0.809835 0.679532i
\(499\) 3.96043 10.8812i 0.177293 0.487109i −0.818935 0.573887i \(-0.805435\pi\)
0.996228 + 0.0867780i \(0.0276571\pi\)
\(500\) −0.651607 + 11.1613i −0.0291408 + 0.499150i
\(501\) −38.2708 + 45.6094i −1.70981 + 2.03768i
\(502\) −2.54801 0.449283i −0.113723 0.0200525i
\(503\) 2.09964 11.9077i 0.0936184 0.530936i −0.901544 0.432688i \(-0.857565\pi\)
0.995162 0.0982481i \(-0.0313239\pi\)
\(504\) −19.0876 + 11.0202i −0.850229 + 0.490880i
\(505\) 28.8112 8.01872i 1.28208 0.356828i
\(506\) −4.52503 + 1.64698i −0.201162 + 0.0732171i
\(507\) 14.6157 + 8.43837i 0.649105 + 0.374761i
\(508\) 12.4281 7.17535i 0.551407 0.318355i
\(509\) 12.4192 + 10.4209i 0.550472 + 0.461900i 0.875101 0.483941i \(-0.160795\pi\)
−0.324629 + 0.945841i \(0.605239\pi\)
\(510\) 0.626863 + 0.877114i 0.0277580 + 0.0388393i
\(511\) 5.22714 + 29.6446i 0.231235 + 1.31140i
\(512\) 1.00000 0.0441942
\(513\) −5.68616 32.2478i −0.251050 1.42378i
\(514\) −15.9352 + 13.3712i −0.702872 + 0.589780i
\(515\) 18.6091 + 18.2533i 0.820015 + 0.804339i
\(516\) −9.40118 25.8295i −0.413864 1.13708i
\(517\) 6.00581i 0.264135i
\(518\) −19.2437 13.5844i −0.845519 0.596866i
\(519\) 36.7399 1.61270
\(520\) 6.01321 + 0.467659i 0.263696 + 0.0205082i
\(521\) 32.2261 + 11.7293i 1.41185 + 0.513872i 0.931673 0.363299i \(-0.118350\pi\)
0.480179 + 0.877171i \(0.340572\pi\)
\(522\) 1.25813 + 1.49939i 0.0550670 + 0.0656263i
\(523\) −2.77399 15.7321i −0.121298 0.687915i −0.983438 0.181245i \(-0.941987\pi\)
0.862140 0.506670i \(-0.169124\pi\)
\(524\) 4.14320i 0.180997i
\(525\) 35.8416 44.4283i 1.56425 1.93901i
\(526\) −8.72661 5.03831i −0.380498 0.219681i
\(527\) 0.903146 1.07633i 0.0393416 0.0468856i
\(528\) −2.03657 + 1.17582i −0.0886304 + 0.0511708i
\(529\) −6.72223 + 11.6432i −0.292271 + 0.506228i
\(530\) 1.22927 15.8061i 0.0533961 0.686571i
\(531\) 17.9299 + 21.3681i 0.778093 + 0.927295i
\(532\) −7.99019 13.8394i −0.346419 0.600015i
\(533\) 5.19829 29.4810i 0.225163 1.27696i
\(534\) −3.41718 + 19.3798i −0.147876 + 0.838647i
\(535\) 27.9396 13.3582i 1.20794 0.577526i
\(536\) −2.79980 + 7.69237i −0.120933 + 0.332260i
\(537\) 6.56540 + 2.38961i 0.283318 + 0.103119i
\(538\) 11.8562 + 9.94854i 0.511158 + 0.428912i
\(539\) 1.10757 6.28133i 0.0477063 0.270556i
\(540\) 14.6321 + 10.0365i 0.629664 + 0.431900i
\(541\) 24.1482 13.9420i 1.03821 0.599413i 0.118887 0.992908i \(-0.462067\pi\)
0.919327 + 0.393494i \(0.128734\pi\)
\(542\) 14.6586 12.3000i 0.629641 0.528331i
\(543\) 9.79052 + 26.8992i 0.420151 + 1.15436i
\(544\) −0.0817698 + 0.141629i −0.00350585 + 0.00607231i
\(545\) −14.2408 + 1.38451i −0.610008 + 0.0593060i
\(546\) −23.5897 19.7941i −1.00955 0.847110i
\(547\) 14.5924 25.2747i 0.623924 1.08067i −0.364824 0.931077i \(-0.618871\pi\)
0.988748 0.149592i \(-0.0477959\pi\)
\(548\) 20.7991 3.66745i 0.888495 0.156666i
\(549\) 52.5715i 2.24370i
\(550\) 2.50420 3.10414i 0.106779 0.132361i
\(551\) −1.08713 + 0.912207i −0.0463131 + 0.0388613i
\(552\) −6.08718 + 16.7244i −0.259088 + 0.711837i
\(553\) −33.2701 + 12.1093i −1.41479 + 0.514940i
\(554\) −24.7852 −1.05302
\(555\) −6.73278 + 39.5298i −0.285791 + 1.67795i
\(556\) −6.59045 −0.279497
\(557\) 24.5192 8.92426i 1.03891 0.378133i 0.234444 0.972130i \(-0.424673\pi\)
0.804468 + 0.593997i \(0.202451\pi\)
\(558\) 16.7244 45.9499i 0.708000 1.94521i
\(559\) 19.2649 16.1652i 0.814818 0.683713i
\(560\) 8.38532 + 2.16033i 0.354345 + 0.0912905i
\(561\) 0.384585i 0.0162372i
\(562\) −12.6433 + 2.22935i −0.533325 + 0.0940395i
\(563\) −18.2845 + 31.6696i −0.770599 + 1.33472i 0.166637 + 0.986018i \(0.446709\pi\)
−0.937235 + 0.348698i \(0.886624\pi\)
\(564\) 17.0041 + 14.2681i 0.716002 + 0.600797i
\(565\) −4.03251 41.4775i −0.169649 1.74497i
\(566\) 11.5669 20.0345i 0.486194 0.842113i
\(567\) −8.36947 22.9949i −0.351485 0.965696i
\(568\) −4.42074 + 3.70944i −0.185490 + 0.155645i
\(569\) 13.2062 7.62462i 0.553634 0.319641i −0.196952 0.980413i \(-0.563104\pi\)
0.750586 + 0.660772i \(0.229771\pi\)
\(570\) −15.3877 + 22.4337i −0.644521 + 0.939643i
\(571\) −2.59364 + 14.7092i −0.108540 + 0.615563i 0.881207 + 0.472731i \(0.156732\pi\)
−0.989747 + 0.142832i \(0.954379\pi\)
\(572\) −1.64818 1.38299i −0.0689139 0.0578256i
\(573\) −32.8289 11.9487i −1.37145 0.499165i
\(574\) 14.6995 40.3864i 0.613544 1.68570i
\(575\) −0.582565 30.1790i −0.0242946 1.25855i
\(576\) −0.988328 + 5.60509i −0.0411803 + 0.233545i
\(577\) 3.26162 18.4976i 0.135783 0.770063i −0.838528 0.544858i \(-0.816584\pi\)
0.974311 0.225205i \(-0.0723053\pi\)
\(578\) 8.48663 + 14.6993i 0.352997 + 0.611409i
\(579\) −9.76560 11.6382i −0.405844 0.483666i
\(580\) 0.0596249 0.766662i 0.00247579 0.0318339i
\(581\) 15.4942 26.8367i 0.642806 1.11337i
\(582\) 38.7147 22.3519i 1.60478 0.926518i
\(583\) −3.63526 + 4.33234i −0.150557 + 0.179427i
\(584\) 6.73186 + 3.88664i 0.278567 + 0.160830i
\(585\) −8.56429 + 33.2423i −0.354090 + 1.37440i
\(586\) 17.2507i 0.712620i
\(587\) −6.48792 36.7948i −0.267785 1.51869i −0.760985 0.648769i \(-0.775284\pi\)
0.493200 0.869916i \(-0.335827\pi\)
\(588\) −15.1529 18.0585i −0.624895 0.744721i
\(589\) 33.3158 + 12.1260i 1.37276 + 0.499642i
\(590\) 0.849727 10.9259i 0.0349827 0.449811i
\(591\) 53.2018 2.18843
\(592\) −5.88147 + 1.55188i −0.241727 + 0.0637818i
\(593\) 4.19652i 0.172330i −0.996281 0.0861652i \(-0.972539\pi\)
0.996281 0.0861652i \(-0.0274613\pi\)
\(594\) −2.16483 5.94782i −0.0888240 0.244042i
\(595\) −0.991632 + 1.01096i −0.0406529 + 0.0414453i
\(596\) 4.77264 4.00472i 0.195495 0.164040i
\(597\) 6.17820 + 35.0383i 0.252857 + 1.43402i
\(598\) −16.2834 −0.665879
\(599\) −2.66748 15.1281i −0.108990 0.618116i −0.989551 0.144182i \(-0.953945\pi\)
0.880561 0.473933i \(-0.157166\pi\)
\(600\) −2.83940 14.4647i −0.115918 0.590518i
\(601\) 0.596444 + 0.500476i 0.0243295 + 0.0204148i 0.654871 0.755740i \(-0.272723\pi\)
−0.630542 + 0.776155i \(0.717167\pi\)
\(602\) 31.2682 18.0527i 1.27439 0.735772i
\(603\) −40.3493 23.2957i −1.64315 0.948673i
\(604\) −0.747866 + 0.272201i −0.0304302 + 0.0110757i
\(605\) 22.3254 6.21362i 0.907659 0.252619i
\(606\) −34.1473 + 19.7149i −1.38714 + 0.800865i
\(607\) −3.06873 + 17.4036i −0.124556 + 0.706392i 0.857015 + 0.515292i \(0.172317\pi\)
−0.981571 + 0.191100i \(0.938795\pi\)
\(608\) −4.06395 0.716585i −0.164815 0.0290614i
\(609\) −2.52368 + 3.00761i −0.102265 + 0.121874i
\(610\) 14.4630 14.7449i 0.585589 0.597002i
\(611\) −6.94598 + 19.0839i −0.281004 + 0.772053i
\(612\) −0.713030 0.598303i −0.0288225 0.0241850i
\(613\) 16.7722 + 2.95738i 0.677421 + 0.119448i 0.501765 0.865004i \(-0.332684\pi\)
0.175656 + 0.984452i \(0.443795\pi\)
\(614\) −7.27773 1.28326i −0.293705 0.0517882i
\(615\) −72.8201 + 7.07969i −2.93639 + 0.285481i
\(616\) −1.98553 2.36627i −0.0799995 0.0953396i
\(617\) −1.15260 3.16674i −0.0464019 0.127488i 0.914327 0.404976i \(-0.132720\pi\)
−0.960729 + 0.277488i \(0.910498\pi\)
\(618\) −29.7635 17.1840i −1.19726 0.691240i
\(619\) 2.09576 + 3.62997i 0.0842359 + 0.145901i 0.905065 0.425272i \(-0.139822\pi\)
−0.820829 + 0.571173i \(0.806488\pi\)
\(620\) −17.3320 + 8.28662i −0.696071 + 0.332799i
\(621\) −41.4857 23.9518i −1.66476 0.961151i
\(622\) −3.13779 + 0.553278i −0.125814 + 0.0221844i
\(623\) −25.8487 −1.03561
\(624\) −7.83124 + 1.38086i −0.313501 + 0.0552786i
\(625\) 13.3262 + 21.1521i 0.533050 + 0.846084i
\(626\) −23.2375 8.45776i −0.928757 0.338040i
\(627\) 9.11911 3.31908i 0.364182 0.132551i
\(628\) 3.22389i 0.128647i
\(629\) 0.261135 0.959885i 0.0104121 0.0382731i
\(630\) −20.3963 + 44.8653i −0.812607 + 1.78748i
\(631\) 12.5727 + 34.5431i 0.500510 + 1.37514i 0.890778 + 0.454439i \(0.150160\pi\)
−0.390268 + 0.920701i \(0.627618\pi\)
\(632\) −3.12702 + 8.59140i −0.124386 + 0.341748i
\(633\) −2.81934 3.35996i −0.112059 0.133546i
\(634\) 28.0761 4.95057i 1.11504 0.196612i
\(635\) 13.2802 29.2122i 0.527008 1.15925i
\(636\) 3.62967 + 20.5849i 0.143926 + 0.816243i
\(637\) 10.7840 18.6785i 0.427278 0.740067i
\(638\) −0.176326 + 0.210137i −0.00698081 + 0.00831941i
\(639\) −16.4226 28.4448i −0.649668 1.12526i
\(640\) 1.81922 1.30017i 0.0719109 0.0513938i
\(641\) 9.61124 3.49821i 0.379621 0.138171i −0.145159 0.989408i \(-0.546370\pi\)
0.524781 + 0.851237i \(0.324147\pi\)
\(642\) −31.2782 + 26.2455i −1.23445 + 1.03583i
\(643\) 2.48328 + 4.30116i 0.0979310 + 0.169621i 0.910828 0.412786i \(-0.135444\pi\)
−0.812897 + 0.582407i \(0.802111\pi\)
\(644\) −23.0227 4.05953i −0.907223 0.159968i
\(645\) −50.6856 34.7664i −1.99575 1.36892i
\(646\) 0.433798 0.516980i 0.0170676 0.0203403i
\(647\) −7.86241 2.86168i −0.309103 0.112504i 0.182811 0.983148i \(-0.441480\pi\)
−0.491914 + 0.870644i \(0.663703\pi\)
\(648\) −5.93803 2.16127i −0.233268 0.0849026i
\(649\) −2.51286 + 2.99471i −0.0986384 + 0.117553i
\(650\) 11.5474 6.96743i 0.452925 0.273285i
\(651\) 96.5956 + 17.0324i 3.78588 + 0.667553i
\(652\) −4.24549 7.35341i −0.166266 0.287982i
\(653\) −3.46235 + 2.90525i −0.135492 + 0.113691i −0.708015 0.706197i \(-0.750409\pi\)
0.572523 + 0.819889i \(0.305965\pi\)
\(654\) 17.7266 6.45196i 0.693166 0.252292i
\(655\) −5.38688 7.53739i −0.210483 0.294510i
\(656\) −5.54920 9.61149i −0.216660 0.375266i
\(657\) −28.4383 + 33.8914i −1.10948 + 1.32223i
\(658\) −14.5784 + 25.2506i −0.568327 + 0.984371i
\(659\) −3.22134 18.2691i −0.125486 0.711664i −0.981018 0.193915i \(-0.937881\pi\)
0.855533 0.517749i \(-0.173230\pi\)
\(660\) −2.17620 + 4.78696i −0.0847086 + 0.186332i
\(661\) 15.5952 2.74985i 0.606582 0.106957i 0.138083 0.990421i \(-0.455906\pi\)
0.468499 + 0.883464i \(0.344795\pi\)
\(662\) 10.1315 + 12.0742i 0.393771 + 0.469278i
\(663\) 0.444789 1.22205i 0.0172742 0.0474604i
\(664\) −2.73691 7.51959i −0.106213 0.291817i
\(665\) −32.5295 14.7883i −1.26144 0.573465i
\(666\) −2.88558 34.4999i −0.111814 1.33684i
\(667\) 2.07608i 0.0803862i
\(668\) −18.9774 + 6.90722i −0.734259 + 0.267248i
\(669\) −42.9544 15.6341i −1.66071 0.604450i
\(670\) 4.90798 + 17.6343i 0.189612 + 0.681273i
\(671\) −7.25590 + 1.27941i −0.280111 + 0.0493911i
\(672\) −11.4166 −0.440406
\(673\) −32.3329 + 5.70117i −1.24634 + 0.219764i −0.757632 0.652682i \(-0.773644\pi\)
−0.488711 + 0.872446i \(0.662533\pi\)
\(674\) 11.3899 + 6.57599i 0.438724 + 0.253298i
\(675\) 39.6680 0.765738i 1.52682 0.0294733i
\(676\) 2.86227 + 4.95759i 0.110087 + 0.190677i
\(677\) −24.1428 13.9389i −0.927884 0.535714i −0.0417425 0.999128i \(-0.513291\pi\)
−0.886142 + 0.463414i \(0.846624\pi\)
\(678\) 18.7919 + 51.6303i 0.721698 + 1.98285i
\(679\) 37.7445 + 44.9821i 1.44850 + 1.72626i
\(680\) 0.0353857 + 0.363969i 0.00135698 + 0.0139576i
\(681\) −7.29860 1.28694i −0.279683 0.0493157i
\(682\) 6.74900 + 1.19003i 0.258433 + 0.0455686i
\(683\) 2.48936 + 2.08882i 0.0952526 + 0.0799264i 0.689170 0.724599i \(-0.257975\pi\)
−0.593918 + 0.804526i \(0.702420\pi\)
\(684\) 8.03304 22.0706i 0.307151 0.843890i
\(685\) 33.0698 33.7144i 1.26353 1.28816i
\(686\) 2.47955 2.95501i 0.0946697 0.112823i
\(687\) 40.4858 + 7.13874i 1.54463 + 0.272360i
\(688\) 1.61902 9.18192i 0.0617246 0.350057i
\(689\) −16.5619 + 9.56200i −0.630957 + 0.364283i
\(690\) 10.6707 + 38.3397i 0.406226 + 1.45957i
\(691\) −34.4952 + 12.5552i −1.31226 + 0.477624i −0.900970 0.433881i \(-0.857144\pi\)
−0.411290 + 0.911504i \(0.634922\pi\)
\(692\) 10.7924 + 6.23102i 0.410267 + 0.236868i
\(693\) 15.2255 8.79044i 0.578369 0.333921i
\(694\) −5.16137 4.33091i −0.195923 0.164399i
\(695\) −11.9895 + 8.56872i −0.454786 + 0.325030i
\(696\) 0.176055 + 0.998456i 0.00667334 + 0.0378464i
\(697\) 1.81503 0.0687490
\(698\) −0.763511 4.33009i −0.0288993 0.163896i
\(699\) −22.4677 + 18.8526i −0.849806 + 0.713072i
\(700\) 18.0635 6.97226i 0.682737 0.263527i
\(701\) 11.2257 + 30.8424i 0.423989 + 1.16490i 0.949405 + 0.314055i \(0.101688\pi\)
−0.525416 + 0.850846i \(0.676090\pi\)
\(702\) 21.4034i 0.807818i
\(703\) 25.0141 2.09219i 0.943424 0.0789083i
\(704\) −0.797665 −0.0300631
\(705\) 49.4852 + 3.84857i 1.86372 + 0.144946i
\(706\) −2.80815 1.02208i −0.105686 0.0384666i
\(707\) −33.2915 39.6753i −1.25206 1.49214i
\(708\) 2.50899 + 14.2292i 0.0942937 + 0.534766i
\(709\) 27.2528i 1.02350i −0.859135 0.511750i \(-0.828998\pi\)
0.859135 0.511750i \(-0.171002\pi\)
\(710\) −3.21937 + 12.4960i −0.120821 + 0.468967i
\(711\) −45.0650 26.0183i −1.69007 0.975763i
\(712\) −4.29059 + 5.11333i −0.160797 + 0.191630i
\(713\) 44.9173 25.9330i 1.68217 0.971200i
\(714\) 0.933536 1.61693i 0.0349367 0.0605121i
\(715\) −4.79652 0.373035i −0.179380 0.0139507i
\(716\) 1.52333 + 1.81543i 0.0569295 + 0.0678459i
\(717\) 25.0493 + 43.3866i 0.935483 + 1.62030i
\(718\) 4.95745 28.1151i 0.185010 1.04925i
\(719\) −1.83023 + 10.3798i −0.0682562 + 0.387100i 0.931473 + 0.363811i \(0.118525\pi\)
−0.999729 + 0.0232885i \(0.992586\pi\)
\(720\) 5.48960 + 11.4819i 0.204585 + 0.427904i
\(721\) 15.4399 42.4209i 0.575014 1.57984i
\(722\) −1.85192 0.674046i −0.0689215 0.0250854i
\(723\) 36.3223 + 30.4781i 1.35084 + 1.13349i
\(724\) −1.68607 + 9.56218i −0.0626623 + 0.355375i
\(725\) −0.888323 1.47225i −0.0329915 0.0546779i
\(726\) −26.4603 + 15.2769i −0.982035 + 0.566978i
\(727\) 15.5437 13.0427i 0.576484 0.483728i −0.307306 0.951611i \(-0.599428\pi\)
0.883790 + 0.467883i \(0.154983\pi\)
\(728\) −3.57250 9.81535i −0.132406 0.363781i
\(729\) −17.1079 + 29.6317i −0.633625 + 1.09747i
\(730\) 17.3000 1.68194i 0.640303 0.0622513i
\(731\) 1.16804 + 0.980104i 0.0432016 + 0.0362505i
\(732\) −13.6156 + 23.5830i −0.503249 + 0.871652i
\(733\) −19.6726 + 3.46880i −0.726622 + 0.128123i −0.524711 0.851281i \(-0.675827\pi\)
−0.201912 + 0.979404i \(0.564715\pi\)
\(734\) 14.2349i 0.525421i
\(735\) −51.0456 13.1510i −1.88285 0.485082i
\(736\) −4.62455 + 3.88046i −0.170463 + 0.143036i
\(737\) 2.23330 6.13593i 0.0822646 0.226020i
\(738\) 59.3577 21.6044i 2.18499 0.795270i
\(739\) 53.9320 1.98392 0.991960 0.126556i \(-0.0403923\pi\)
0.991960 + 0.126556i \(0.0403923\pi\)
\(740\) −8.68196 + 10.4701i −0.319155 + 0.384890i
\(741\) 32.8153 1.20550
\(742\) −25.8002 + 9.39051i −0.947156 + 0.344737i
\(743\) 4.61508 12.6798i 0.169311 0.465178i −0.825797 0.563967i \(-0.809275\pi\)
0.995108 + 0.0987887i \(0.0314968\pi\)
\(744\) 19.4031 16.2811i 0.711351 0.596894i
\(745\) 3.47564 13.4907i 0.127338 0.494261i
\(746\) 18.2049i 0.666529i
\(747\) 44.8529 7.90878i 1.64108 0.289367i
\(748\) 0.0652248 0.112973i 0.00238486 0.00413069i
\(749\) −41.0849 34.4743i −1.50121 1.25966i
\(750\) −23.9720 22.6227i −0.875335 0.826063i
\(751\) 2.42478 4.19985i 0.0884816 0.153255i −0.818388 0.574666i \(-0.805132\pi\)
0.906870 + 0.421412i \(0.138465\pi\)
\(752\) 2.57515 + 7.07518i 0.0939062 + 0.258005i
\(753\) 5.84322 4.90304i 0.212939 0.178677i
\(754\) −0.803322 + 0.463798i −0.0292553 + 0.0168905i
\(755\) −1.00662 + 1.46755i −0.0366348 + 0.0534095i
\(756\) 5.33595 30.2617i 0.194067 1.10061i
\(757\) 35.5047 + 29.7919i 1.29044 + 1.08281i 0.991714 + 0.128467i \(0.0410058\pi\)
0.298725 + 0.954339i \(0.403439\pi\)
\(758\) −27.0967 9.86240i −0.984197 0.358219i
\(759\) 4.85553 13.3405i 0.176244 0.484228i
\(760\) −8.32490 + 3.98022i −0.301976 + 0.144378i
\(761\) −2.23666 + 12.6848i −0.0810790 + 0.459822i 0.917055 + 0.398761i \(0.130560\pi\)
−0.998134 + 0.0610612i \(0.980552\pi\)
\(762\) −7.34670 + 41.6652i −0.266143 + 1.50937i
\(763\) 12.3894 + 21.4591i 0.448527 + 0.776872i
\(764\) −7.61709 9.07769i −0.275576 0.328419i
\(765\) −2.07505 0.161381i −0.0750237 0.00583475i
\(766\) −11.0727 + 19.1785i −0.400074 + 0.692948i
\(767\) −11.4483 + 6.60969i −0.413375 + 0.238662i
\(768\) −1.89503 + 2.25841i −0.0683810 + 0.0814933i
\(769\) 10.7551 + 6.20947i 0.387840 + 0.223919i 0.681224 0.732075i \(-0.261448\pi\)
−0.293384 + 0.955995i \(0.594781\pi\)
\(770\) −6.68868 1.72322i −0.241043 0.0621004i
\(771\) 61.3271i 2.20864i
\(772\) −0.894855 5.07498i −0.0322065