Properties

Label 370.2.v.b.289.2
Level $370$
Weight $2$
Character 370.289
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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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 289.2
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.b.169.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 - 0.342020i) q^{2} +(-1.00832 + 2.77035i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.26482 + 1.84397i) q^{5} +2.94814i q^{6} +(3.81365 - 0.672450i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.35998 - 3.65846i) q^{9} +O(q^{10})\) \(q+(0.939693 - 0.342020i) q^{2} +(-1.00832 + 2.77035i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.26482 + 1.84397i) q^{5} +2.94814i q^{6} +(3.81365 - 0.672450i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.35998 - 3.65846i) q^{9} +(1.81922 + 1.30017i) 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} +(-6.38379 + 1.64467i) 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} +(2.15419 + 0.599554i) 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} +(-1.80046 + 4.66458i) 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} +(-5.43629 + 3.72887i) q^{30} -8.59147i q^{31} +(-0.173648 - 0.984808i) q^{32} +(1.51160 + 1.80145i) q^{33} +(-0.153677 - 0.0559338i) q^{34} +(6.06356 + 6.18174i) q^{35} -5.69155 q^{36} +(2.54961 + 5.52264i) q^{37} +4.12665i q^{38} +(-2.71976 - 7.47248i) q^{39} +(2.22934 - 0.173380i) q^{40} +(8.50186 - 7.13391i) q^{41} +(1.98248 + 11.2432i) q^{42} -9.32357 q^{43} +(-0.138513 - 0.785546i) q^{44} +(1.23150 - 12.6670i) 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} +(-0.0965003 + 4.99907i) 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} +(1.77826 - 0.138299i) 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} +(-3.83310 + 5.36331i) 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} +(-5.81051 - 1.61718i) q^{65} +(2.03657 + 1.17582i) q^{66} +(-8.06169 + 1.42149i) q^{67} -0.163540 q^{68} +(17.5273 - 3.09054i) q^{69} +(7.81216 + 3.73507i) 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} +(0.0353857 - 0.363969i) 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} +(-3.17513 - 12.3243i) 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} +(-8.93568 + 2.30212i) 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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 q^{50} + 3 q^{52} + 6 q^{53} + 3 q^{55} - 30 q^{57} - 15 q^{58} - 12 q^{59} - 9 q^{60} + 42 q^{61} + 12 q^{62} + 9 q^{63} - 30 q^{64} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 18 q^{71} - 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} - 21 q^{77} - 6 q^{78} - 24 q^{79} - 36 q^{81} - 27 q^{82} - 30 q^{83} + 12 q^{84} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) \) 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 \(0.435148\pi\)
−0.784487 + 0.620145i \(0.787074\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) 1.26482 + 1.84397i 0.565645 + 0.824649i
\(6\) 2.94814i 1.20357i
\(7\) 3.81365 0.672450i 1.44142 0.254162i 0.602374 0.798214i \(-0.294222\pi\)
0.839051 + 0.544052i \(0.183111\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) −4.35998 3.65846i −1.45333 1.21949i
\(10\) 1.81922 + 1.30017i 0.575287 + 0.411151i
\(11\) 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 −0.882665 0.470002i \(-0.844253\pi\)
0.309589 + 0.950871i \(0.399809\pi\)
\(14\) 3.35367 1.93624i 0.896306 0.517482i
\(15\) −6.38379 + 1.64467i −1.64829 + 0.424652i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) −0.125279 0.105121i −0.0303845 0.0254956i 0.627469 0.778642i \(-0.284091\pi\)
−0.657853 + 0.753146i \(0.728535\pi\)
\(18\) −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 \(0.954152\pi\)
\(20\) 2.15419 + 0.599554i 0.481692 + 0.134064i
\(21\) −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 \(-0.949970\pi\)
0.358281 0.933614i \(-0.383363\pi\)
\(24\) 1.89503 + 2.25841i 0.386821 + 0.460996i
\(25\) −1.80046 + 4.66458i −0.360093 + 0.932917i
\(26\) −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 \(0.656501\pi\)
\(30\) −5.43629 + 3.72887i −0.992527 + 0.680795i
\(31\) 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
\(35\) 6.06356 + 6.18174i 1.02493 + 1.04490i
\(36\) −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
\(40\) 2.22934 0.173380i 0.352489 0.0274138i
\(41\) 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 \(-0.751719\pi\)
−0.710915 + 0.703278i \(0.751719\pi\)
\(44\) −0.138513 0.785546i −0.0208816 0.118426i
\(45\) 1.23150 12.6670i 0.183582 1.88828i
\(46\) −4.62455 3.88046i −0.681853 0.572143i
\(47\) 6.52052 3.76462i 0.951115 0.549127i 0.0576880 0.998335i \(-0.481627\pi\)
0.893427 + 0.449208i \(0.148294\pi\)
\(48\) 2.55317 + 1.47407i 0.368518 + 0.212764i
\(49\) 7.51390 2.73484i 1.07341 0.390691i
\(50\) −0.0965003 + 4.99907i −0.0136472 + 0.706975i
\(51\) 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 0.631217 0.775606i \(-0.282556\pi\)
0.327877 + 0.944720i \(0.393667\pi\)
\(54\) 5.10058 6.07863i 0.694100 0.827197i
\(55\) 1.77826 0.138299i 0.239781 0.0186483i
\(56\) 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 \(0.658911\pi\)
\(60\) −3.83310 + 5.36331i −0.494851 + 0.692401i
\(61\) −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
\(65\) −5.81051 1.61718i −0.720706 0.200587i
\(66\) 2.03657 + 1.17582i 0.250685 + 0.144733i
\(67\) −8.06169 + 1.42149i −0.984892 + 0.173663i −0.642825 0.766013i \(-0.722238\pi\)
−0.342067 + 0.939676i \(0.611127\pi\)
\(68\) −0.163540 −0.0198321
\(69\) 17.5273 3.09054i 2.11004 0.372058i
\(70\) 7.81216 + 3.73507i 0.933732 + 0.446427i
\(71\) 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 \(0.150324\pi\)
−0.890544 + 0.454897i \(0.849676\pi\)
\(74\) 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 −0.405917 0.913910i \(-0.633048\pi\)
0.970512 + 0.241052i \(0.0774924\pi\)
\(84\) 5.70832 + 9.88710i 0.622829 + 1.07877i
\(85\) 0.0353857 0.363969i 0.00383812 0.0394780i
\(86\) −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 \(0.440454\pi\)
\(90\) −3.17513 12.3243i −0.334688 1.29909i
\(91\) −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
\(95\) −8.93568 + 2.30212i −0.916781 + 0.236192i
\(96\) 2.90336 + 0.511940i 0.296322 + 0.0522496i
\(97\) 7.58170 + 13.1319i 0.769805 + 1.33334i 0.937668 + 0.347531i \(0.112980\pi\)
−0.167863 + 0.985810i \(0.553687\pi\)
\(98\) 6.12539 5.13981i 0.618758 0.519200i
\(99\) −4.26616 + 1.55275i −0.428765 + 0.156058i
\(100\) 1.61910 + 4.73059i 0.161910 + 0.473059i
\(101\) 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 \(-0.638599\pi\)
0.996115 0.0880634i \(-0.0280678\pi\)
\(104\) 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 \(-0.988753\pi\)
0.138750 0.990327i \(-0.455692\pi\)
\(108\) 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 −0.988321 0.152386i \(-0.951304\pi\)
−0.659146 + 0.752015i \(0.729082\pi\)
\(114\) −11.4323 4.16100i −1.07073 0.389713i
\(115\) 5.82271 12.1786i 0.542971 1.13566i
\(116\) 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
\(120\) −1.76757 + 6.35086i −0.161356 + 0.579752i
\(121\) 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
\(125\) −10.8786 + 2.57985i −0.973013 + 0.230749i
\(126\) −21.7056 3.82728i −1.93369 0.340962i
\(127\) −14.1327 2.49197i −1.25407 0.221127i −0.493136 0.869952i \(-0.664149\pi\)
−0.760937 + 0.648825i \(0.775261\pi\)
\(128\) −0.766044 0.642788i −0.0677094 0.0568149i
\(129\) 9.40118 25.8295i 0.827728 2.27416i
\(130\) −6.01321 + 0.467659i −0.527393 + 0.0410164i
\(131\) 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
\(135\) 16.0079 + 7.65352i 1.37774 + 0.658710i
\(136\) −0.153677 + 0.0559338i −0.0131777 + 0.00479629i
\(137\) −18.2905 10.5600i −1.56266 0.902202i −0.996987 0.0775718i \(-0.975283\pi\)
−0.565673 0.824630i \(-0.691383\pi\)
\(138\) 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 \(0.812390\pi\)
\(140\) 8.61850 + 0.837905i 0.728396 + 0.0708159i
\(141\) 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
\(145\) 0.0596249 + 0.766662i 0.00495158 + 0.0636678i
\(146\) 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 \(0.417859\pi\)
\(150\) −13.7519 5.30802i −1.12283 0.433398i
\(151\) −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
\(155\) 15.8424 10.8667i 1.27249 0.872831i
\(156\) −6.88668 3.97603i −0.551376 0.318337i
\(157\) 2.07228 2.46965i 0.165386 0.197099i −0.676986 0.735996i \(-0.736714\pi\)
0.842372 + 0.538897i \(0.181159\pi\)
\(158\) 7.91788 4.57139i 0.629913 0.363680i
\(159\) −10.4512 + 18.1020i −0.828835 + 1.43558i
\(160\) 1.59632 1.56581i 0.126200 0.123788i
\(161\) −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 \(0.163459\pi\)
−0.986508 + 0.163715i \(0.947652\pi\)
\(164\) 1.92722 10.9298i 0.150490 0.853473i
\(165\) −1.40993 + 5.06586i −0.109763 + 0.394377i
\(166\) 2.73691 7.51959i 0.212425 0.583634i
\(167\) 18.9774 + 6.90722i 1.46852 + 0.534496i 0.947697 0.319170i \(-0.103404\pi\)
0.520820 + 0.853667i \(0.325626\pi\)
\(168\) 8.74565 + 7.33847i 0.674742 + 0.566176i
\(169\) −0.994054 + 5.63756i −0.0764657 + 0.433659i
\(170\) −0.0912332 0.354122i −0.00699727 0.0271599i
\(171\) 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 \(-0.954016\pi\)
0.665529 0.746372i \(-0.268206\pi\)
\(174\) −0.506929 + 0.878027i −0.0384302 + 0.0665631i
\(175\) −3.72964 + 18.9998i −0.281934 + 1.43625i
\(176\) −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 \(0.971771\pi\)
\(180\) −7.19879 10.4951i −0.536566 0.782256i
\(181\) −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
\(185\) −6.95879 + 11.6865i −0.511620 + 0.859212i
\(186\) 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
\(190\) −7.60942 + 5.21947i −0.552045 + 0.378660i
\(191\) 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 −0.943735 0.330703i \(-0.892714\pi\)
0.758265 + 0.651947i \(0.226047\pi\)
\(194\) 11.6158 + 9.74685i 0.833969 + 0.699783i
\(195\) 10.3390 14.4665i 0.740394 1.03597i
\(196\) 3.99806 6.92485i 0.285576 0.494632i
\(197\) −6.17205 16.9576i −0.439740 1.20818i −0.939661 0.342106i \(-0.888860\pi\)
0.499921 0.866071i \(-0.333362\pi\)
\(198\) −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 \(0.474026\pi\)
\(200\) 3.13942 + 3.89154i 0.221990 + 0.275173i
\(201\) 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
\(205\) 23.9081 + 6.65409i 1.66981 + 0.464741i
\(206\) 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
\(210\) −18.2247 + 17.8762i −1.25762 + 1.23358i
\(211\) 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
\(215\) −11.7926 17.1924i −0.804251 1.17251i
\(216\) 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
\(220\) 1.27333 1.24899i 0.0858480 0.0842068i
\(221\) 0.441116 0.0296727
\(222\) −16.2815 + 7.51661i −1.09274 + 0.504482i
\(223\) 15.5050i 1.03829i 0.854685 + 0.519147i \(0.173750\pi\)
−0.854685 + 0.519147i \(0.826250\pi\)
\(224\) −1.32447 3.63894i −0.0884947 0.243137i
\(225\) 24.9152 13.7506i 1.66101 0.916705i
\(226\) −14.2766 + 11.9795i −0.949664 + 0.796863i
\(227\) 0.436526 + 2.47566i 0.0289732 + 0.164315i 0.995861 0.0908852i \(-0.0289696\pi\)
−0.966888 + 0.255200i \(0.917859\pi\)
\(228\) −12.1660 −0.805710
\(229\) 2.42144 + 13.7326i 0.160013 + 0.907478i 0.954059 + 0.299620i \(0.0968600\pi\)
−0.794046 + 0.607858i \(0.792029\pi\)
\(230\) 1.30623 13.4356i 0.0861305 0.885919i
\(231\) 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 0.754921 0.655816i \(-0.227675\pi\)
−0.190493 + 0.981689i \(0.561009\pi\)
\(234\) 14.4260 5.25065i 0.943060 0.343246i
\(235\) 15.1891 + 7.26208i 0.990830 + 0.473726i
\(236\) −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 \(0.407443\pi\)
\(240\) 0.511149 + 6.57240i 0.0329946 + 0.424247i
\(241\) −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
\(245\) 14.5467 + 10.3964i 0.929354 + 0.664198i
\(246\) 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
\(250\) −9.34020 + 6.14498i −0.590726 + 0.388642i
\(251\) 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
\(255\) 0.972642 + 0.465030i 0.0609092 + 0.0291213i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −19.5474 + 7.11468i −1.21934 + 0.443802i −0.869932 0.493171i \(-0.835838\pi\)
−0.349403 + 0.936973i \(0.613615\pi\)
\(258\) 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 0.528439 0.848971i \(-0.322777\pi\)
−0.927836 + 0.372989i \(0.878333\pi\)
\(264\) 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 \(0.989740\pi\)
\(270\) 17.6601 + 1.71695i 1.07476 + 0.104490i
\(271\) −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
\(275\) 2.50420 + 3.10414i 0.151009 + 0.187187i
\(276\) 11.4402 13.6338i 0.688616 0.820661i
\(277\) −23.2905 8.47705i −1.39939 0.509336i −0.471393 0.881923i \(-0.656249\pi\)
−0.927997 + 0.372587i \(0.878471\pi\)
\(278\) −6.19300 2.25407i −0.371431 0.135190i
\(279\) −31.4316 + 37.4587i −1.88176 + 2.24259i
\(280\) 8.38532 2.16033i 0.501119 0.129104i
\(281\) 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 0.0599861 0.998199i \(-0.480894\pi\)
0.993451 + 0.114261i \(0.0364499\pi\)
\(284\) 5.42285 1.97375i 0.321787 0.117121i
\(285\) 2.63240 27.0762i 0.155930 1.60386i
\(286\) 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 \(0.279212\pi\)
−0.984015 + 0.178085i \(0.943010\pi\)
\(294\) 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
\(300\) −14.7380 0.284497i −0.850897 0.0164254i
\(301\) −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
\(305\) 5.53793 19.8977i 0.317101 1.13934i
\(306\) 0.465397 + 0.806091i 0.0266050 + 0.0460812i
\(307\) −6.39993 3.69500i −0.365263 0.210885i 0.306124 0.951992i \(-0.400968\pi\)
−0.671387 + 0.741107i \(0.734301\pi\)
\(308\) −1.05648 2.90266i −0.0601986 0.165394i
\(309\) 22.0913 + 26.3273i 1.25673 + 1.49771i
\(310\) 11.1704 15.6298i 0.634436 0.887710i
\(311\) 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 −0.0756235 0.997136i \(-0.524095\pi\)
−0.995120 + 0.0986763i \(0.968539\pi\)
\(314\) 1.10264 3.02947i 0.0622254 0.170963i
\(315\) −3.82137 49.1356i −0.215310 2.76848i
\(316\) 5.87687 7.00378i 0.330600 0.393993i
\(317\) 28.0761 + 4.95057i 1.57691 + 0.278052i 0.892500 0.451047i \(-0.148949\pi\)
0.684409 + 0.729098i \(0.260060\pi\)
\(318\) −3.62967 + 20.5849i −0.203542 + 1.15434i
\(319\) 0.237563 0.137157i 0.0133010 0.00767934i
\(320\) 0.964516 2.01735i 0.0539181 0.112773i
\(321\) 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
\(325\) −4.36722 12.7599i −0.242250 0.707790i
\(326\) 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
\(330\) 0.407726 + 5.24257i 0.0224446 + 0.288594i
\(331\) −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
\(335\) −12.8178 13.0676i −0.700310 0.713959i
\(336\) 10.7281 + 3.90472i 0.585268 + 0.213020i
\(337\) 8.45393 + 10.0750i 0.460515 + 0.548820i 0.945466 0.325721i \(-0.105607\pi\)
−0.484951 + 0.874541i \(0.661163\pi\)
\(338\) 0.994054 + 5.63756i 0.0540694 + 0.306643i
\(339\) 54.9438i 2.98414i
\(340\) −0.206848 0.301562i −0.0112179 0.0163545i
\(341\) −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
\(345\) 27.8678 + 28.4109i 1.50035 + 1.52959i
\(346\) −8.01044 9.54648i −0.430644 0.513222i
\(347\) −3.36885 5.83501i −0.180849 0.313240i 0.761321 0.648375i \(-0.224551\pi\)
−0.942170 + 0.335135i \(0.891218\pi\)
\(348\) −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 \(0.0931013\pi\)
\(350\) 2.99360 + 19.1296i 0.160015 + 1.02252i
\(351\) −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 0.579830 0.814737i \(-0.303119\pi\)
−0.701673 + 0.712499i \(0.747563\pi\)
\(354\) 2.50899 14.2292i 0.133351 0.756274i
\(355\) 3.21937 + 12.4960i 0.170867 + 0.663220i
\(356\) 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 \(0.895092\pi\)
\(360\) −10.3542 7.40000i −0.545713 0.390014i
\(361\) 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
\(365\) −14.3337 + 9.83181i −0.750261 + 0.514620i
\(366\) 20.8604 17.5039i 1.09039 0.914945i
\(367\) −4.86863 + 13.3765i −0.254141 + 0.698245i 0.745361 + 0.666662i \(0.232277\pi\)
−0.999501 + 0.0315839i \(0.989945\pi\)
\(368\) −5.67285 + 2.06475i −0.295718 + 0.107633i
\(369\) −63.1671 −3.28835
\(370\) −2.54209 + 13.3618i −0.132157 + 0.694647i
\(371\) 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 \(-0.732671\pi\)
0.989976 0.141233i \(-0.0451067\pi\)
\(374\) −0.0999303 + 0.0838514i −0.00516727 + 0.00433586i
\(375\) 3.82208 32.7389i 0.197372 1.69063i
\(376\) 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 \(0.456766\pi\)
\(380\) −5.36536 + 7.50727i −0.275237 + 0.385115i
\(381\) 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 −0.963430 0.267959i \(-0.913651\pi\)
0.0965902 + 0.995324i \(0.469206\pi\)
\(384\) 2.55317 1.47407i 0.130291 0.0752234i
\(385\) 6.68868 1.72322i 0.340886 0.0878233i
\(386\) −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 \(0.105065\pi\)
\(390\) 4.76768 17.1302i 0.241421 0.867423i
\(391\) −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
\(395\) 14.3158 + 14.5948i 0.720307 + 0.734346i
\(396\) −2.26998 + 3.93171i −0.114071 + 0.197576i
\(397\) −0.366906 + 0.211833i −0.0184145 + 0.0106316i −0.509179 0.860661i \(-0.670051\pi\)
0.490764 + 0.871292i \(0.336718\pi\)
\(398\) −7.75731 + 9.24480i −0.388839 + 0.463400i
\(399\) −40.8006 23.5562i −2.04258 1.17929i
\(400\) 4.28107 + 2.58311i 0.214054 + 0.129155i
\(401\) 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
\(405\) −10.0874 + 9.89452i −0.501245 + 0.491663i
\(406\) 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 \(0.850419\pi\)
\(410\) 24.7421 1.92424i 1.22192 0.0950315i
\(411\) 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
\(415\) 17.8095 + 1.73147i 0.874232 + 0.0849943i
\(416\) 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 \(0.409433\pi\)
\(420\) −11.0115 + 23.0314i −0.537308 + 1.12382i
\(421\) −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
\(425\) 0.715906 0.395105i 0.0347265 0.0191654i
\(426\) −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
\(430\) −16.9616 12.1222i −0.817961 0.584587i
\(431\) −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 0.882985 0.469401i \(-0.155530\pi\)
0.0349799 + 0.999388i \(0.488863\pi\)
\(434\) −16.6352 28.8130i −0.798514 1.38307i
\(435\) −2.18404 0.607863i −0.104717 0.0291448i
\(436\) −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 \(0.343601\pi\)
\(440\) 0.769361 1.60917i 0.0366778 0.0767142i
\(441\) −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 \(-0.754617\pi\)
0.717288 0.696777i \(-0.245383\pi\)
\(444\) −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
\(455\) −23.2467 2.26009i −1.08982 0.105955i
\(456\) −11.4323 + 4.16100i −0.535364 + 0.194857i
\(457\) 2.66133 2.23312i 0.124492 0.104461i −0.578416 0.815742i \(-0.696329\pi\)
0.702908 + 0.711281i \(0.251885\pi\)
\(458\) 6.97224 + 12.0763i 0.325792 + 0.564288i
\(459\) −1.27799 0.225343i −0.0596513 0.0105181i
\(460\) −3.36780 13.0721i −0.157024 0.609491i
\(461\) −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 0.687761 0.725937i \(-0.258594\pi\)
0.0602320 + 0.998184i \(0.480816\pi\)
\(464\) 0.221053 0.263441i 0.0102621 0.0122299i
\(465\) 14.1301 + 54.8462i 0.655269 + 2.54343i
\(466\) 9.79731 + 1.72753i 0.453852 + 0.0800263i
\(467\) −16.0914 27.8712i −0.744622 1.28972i −0.950371 0.311119i \(-0.899296\pi\)
0.205749 0.978605i \(-0.434037\pi\)
\(468\) 11.7602 9.86799i 0.543616 0.456148i
\(469\) −29.7886 + 10.8422i −1.37551 + 0.500644i
\(470\) 16.7569 + 1.62913i 0.772938 + 0.0751463i
\(471\) 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
\(485\) −14.6253 + 30.5899i −0.664103 + 1.38902i
\(486\) 5.09696 0.898731i 0.231203 0.0407673i
\(487\) 26.3538 1.19420 0.597102 0.802165i \(-0.296319\pi\)
0.597102 + 0.802165i \(0.296319\pi\)
\(488\) −9.09643 + 1.60395i −0.411776 + 0.0726072i
\(489\) −21.6789 12.5163i −0.980355 0.566008i
\(490\) 17.2252 + 4.79411i 0.778155 + 0.216576i
\(491\) 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
\(495\) −8.25916 5.90272i −0.371221 0.265308i
\(496\) −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 \(0.0276571\pi\)
\(500\) −6.67521 + 8.96892i −0.298524 + 0.401102i
\(501\) −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 \(0.142435\pi\)
−0.995162 + 0.0982481i \(0.968676\pi\)
\(504\) −19.0876 + 11.0202i −0.850229 + 0.490880i
\(505\) −12.8999 + 26.9810i −0.574038 + 1.20064i
\(506\) −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 \(0.605239\pi\)
\(510\) 1.07303 + 0.104322i 0.0475148 + 0.00461946i
\(511\) 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
\(515\) 25.9884 2.02117i 1.14519 0.0890636i
\(516\) −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
\(520\) −4.30578 + 4.22346i −0.188821 + 0.185211i
\(521\) 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 \(0.0580127\pi\)
−0.862140 + 0.506670i \(0.830876\pi\)
\(524\) 4.14320i 0.180997i
\(525\) −48.8754 29.4904i −2.13310 1.28707i
\(526\) −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
\(530\) 11.1016 + 11.3180i 0.482223 + 0.491622i
\(531\) 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
\(535\) 8.30361 29.8348i 0.358996 1.28987i
\(536\) −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
\(540\) 17.1823 4.42672i 0.739409 0.190496i
\(541\) 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
\(545\) 8.31941 11.6406i 0.356364 0.498629i
\(546\) −23.5897 19.7941i −1.00955 0.847110i
\(547\) −14.5924 + 25.2747i −0.623924 + 1.08067i 0.364824 + 0.931077i \(0.381129\pi\)
−0.988748 + 0.149592i \(0.952204\pi\)
\(548\) −20.7991 + 3.66745i −0.888495 + 0.156666i
\(549\) 52.5715i 2.24370i
\(550\) 3.41486 + 2.06045i 0.145610 + 0.0878580i
\(551\) −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
\(555\) −25.3591 31.0621i −1.07643 1.31851i
\(556\) −6.59045 −0.279497
\(557\) −24.5192 + 8.92426i −1.03891 + 0.378133i −0.804468 0.593997i \(-0.797549\pi\)
−0.234444 + 0.972130i \(0.575327\pi\)
\(558\) −16.7244 + 45.9499i −0.708000 + 1.94521i
\(559\) 19.2649 16.1652i 0.814818 0.683713i
\(560\) 7.14075 4.89799i 0.301752 0.206978i
\(561\) 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 \(-0.553291\pi\)
0.937235 0.348698i \(-0.113376\pi\)
\(564\) 17.0041 + 14.2681i 0.716002 + 0.600797i
\(565\) −33.9043 24.2310i −1.42636 1.01941i
\(566\) 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 \(0.229771\pi\)
\(570\) −6.78697 26.3437i −0.284275 1.10341i
\(571\) −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
\(575\) 29.8217 4.66681i 1.24365 0.194620i
\(576\) −0.988328 + 5.60509i −0.0411803 + 0.233545i
\(577\) −3.26162 + 18.4976i −0.135783 + 0.770063i 0.838528 + 0.544858i \(0.183416\pi\)
−0.974311 + 0.225205i \(0.927695\pi\)
\(578\) −8.48663 14.6993i −0.352997 0.611409i
\(579\) −9.76560 11.6382i −0.405844 0.483666i
\(580\) 0.538476 + 0.548971i 0.0223590 + 0.0227948i
\(581\) 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
\(585\) 19.4173 + 28.3084i 0.802808 + 1.17041i
\(586\) 17.2507i 0.712620i
\(587\) 6.48792 + 36.7948i 0.267785 + 1.51869i 0.760985 + 0.648769i \(0.224716\pi\)
−0.493200 + 0.869916i \(0.664173\pi\)
\(588\) 15.1529 + 18.0585i 0.624895 + 0.744721i
\(589\) 33.3158 + 12.1260i 1.37276 + 0.499642i
\(590\) −7.67394 7.82351i −0.315931 0.322089i
\(591\) 53.2018 2.18843
\(592\) 5.88147 1.55188i 0.241727 0.0637818i
\(593\) 4.19652i 0.172330i 0.996281 + 0.0861652i \(0.0274613\pi\)
−0.996281 + 0.0861652i \(0.972539\pi\)
\(594\) −2.16483 5.94782i −0.0888240 0.244042i
\(595\) −0.109802 1.41185i −0.00450146 0.0578801i
\(596\) 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 \(-0.157166\pi\)
\(600\) −13.9465 + 4.77334i −0.569362 + 0.194871i
\(601\) 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
\(605\) −9.99599 + 20.9073i −0.406395 + 0.850002i
\(606\) −34.1473 + 19.7149i −1.38714 + 0.800865i
\(607\) 3.06873 17.4036i 0.124556 0.706392i −0.857015 0.515292i \(-0.827683\pi\)
0.981571 0.191100i \(-0.0612054\pi\)
\(608\) 4.06395 + 0.716585i 0.164815 + 0.0290614i
\(609\) −2.52368 + 3.00761i −0.102265 + 0.121874i
\(610\) −1.60147 20.5918i −0.0648416 0.833739i
\(611\) −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 −0.175656 0.984452i \(-0.556205\pi\)
−0.501765 + 0.865004i \(0.667316\pi\)
\(614\) −7.27773 1.28326i −0.293705 0.0517882i
\(615\) −42.5412 + 59.5242i −1.71543 + 2.40025i
\(616\) −1.98553 2.36627i −0.0799995 0.0953396i
\(617\) 1.15260 + 3.16674i 0.0464019 + 0.127488i 0.960729 0.277488i \(-0.0895019\pi\)
−0.914327 + 0.404976i \(0.867280\pi\)
\(618\) 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 \(0.806488\pi\)
\(620\) 5.15105 18.5077i 0.206871 0.743286i
\(621\) −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
\(625\) −18.5167 16.7968i −0.740667 0.671873i
\(626\) −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
\(640\) 0.216374 2.22557i 0.00855294 0.0879736i
\(641\) 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 0.812897 0.582407i \(-0.197889\pi\)
−0.910828 + 0.412786i \(0.864556\pi\)
\(644\) −23.0227 4.05953i −0.907223 0.159968i
\(645\) 59.5197 15.3342i 2.34359 0.603783i
\(646\) 0.433798 0.516980i 0.0170676 0.0203403i
\(647\) 7.86241 + 2.86168i 0.309103 + 0.112504i 0.491914 0.870644i \(-0.336297\pi\)
−0.182811 + 0.983148i \(0.558520\pi\)
\(648\) 5.93803 + 2.16127i 0.233268 + 0.0849026i
\(649\) −2.51286 + 2.99471i −0.0986384 + 0.117553i
\(650\) −8.46797 10.4967i −0.332141 0.411713i
\(651\) 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 −0.572523 0.819889i \(-0.694035\pi\)
0.708015 + 0.706197i \(0.249591\pi\)
\(654\) 17.7266 6.45196i 0.693166 0.252292i
\(655\) 9.22101 + 0.896482i 0.360295 + 0.0350284i
\(656\) −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
\(670\) −16.5141 7.89558i −0.637997 0.305033i
\(671\) −7.25590 + 1.27941i −0.280111 + 0.0493911i
\(672\) 11.4166 0.440406
\(673\) 32.3329 5.70117i 1.24634 0.219764i 0.488711 0.872446i \(-0.337467\pi\)
0.757632 + 0.652682i \(0.226356\pi\)
\(674\) 11.3899 + 6.57599i 0.438724 + 0.253298i
\(675\) 6.13418 + 39.1984i 0.236105 + 1.50875i
\(676\) 2.86227 + 4.95759i 0.110087 + 0.190677i
\(677\) 24.1428 + 13.9389i 0.927884 + 0.535714i 0.886142 0.463414i \(-0.153376\pi\)
0.0417425 + 0.999128i \(0.486709\pi\)
\(678\) −18.7919 51.6303i −0.721698 1.98285i
\(679\) 37.7445 + 44.9821i 1.44850 + 1.72626i
\(680\) −0.297514 0.212630i −0.0114091 0.00815397i
\(681\) −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 0.593918 0.804526i \(-0.297580\pi\)
−0.689170 + 0.724599i \(0.742025\pi\)
\(684\) 8.03304 22.0706i 0.307151 0.843890i
\(685\) −3.66179 47.0836i −0.139910 1.79897i
\(686\) 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
\(690\) 35.9043 + 17.1662i 1.36685 + 0.653506i
\(691\) −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
\(695\) 1.42600 14.6675i 0.0540914 0.556371i
\(696\) 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
\(700\) 9.35578 + 16.9521i 0.353615 + 0.640728i
\(701\) 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
\(705\) −35.4341 + 34.7567i −1.33452 + 1.30901i
\(706\) −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 \(-0.171002\pi\)
\(710\) 7.29911 + 10.6413i 0.273931 + 0.399362i
\(711\) −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
\(715\) −3.43457 + 3.36891i −0.128445 + 0.125990i
\(716\) 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 \(0.992586\pi\)
\(720\) −12.2607 3.41239i −0.456929 0.127172i
\(721\) 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
\(725\) −1.33829 + 1.07964i −0.0497028 + 0.0400967i
\(726\) −26.4603 + 15.2769i −0.982035 + 0.566978i
\(727\) −15.5437 + 13.0427i −0.576484 + 0.483728i −0.883790 0.467883i \(-0.845017\pi\)
0.307306 + 0.951611i \(0.400572\pi\)
\(728\) 3.57250 + 9.81535i 0.132406 + 0.363781i
\(729\) −17.1079 + 29.6317i −0.633625 + 1.09747i
\(730\) −10.1066 + 14.1413i −0.374063 + 0.523393i
\(731\) 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 0.201912 0.979404i \(-0.435285\pi\)
0.524711 + 0.851281i \(0.324173\pi\)
\(734\) 14.2349i 0.525421i
\(735\) −43.4693 + 29.8165i −1.60339 + 1.09980i
\(736\) −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 \(0.0403923\pi\)
\(740\) 2.18122 + 13.4254i 0.0801833 + 0.493529i
\(741\) 32.8153 1.20550
\(742\) 25.8002 9.39051i 0.947156 0.344737i
\(743\) −4.61508 + 12.6798i −0.169311 + 0.465178i −0.995108 0.0987887i \(-0.968503\pi\)
0.825797 + 0.563967i \(0.190725\pi\)
\(744\) 19.4031 16.2811i 0.711351 0.596894i
\(745\) 7.88012 + 11.4884i 0.288705 + 0.420902i
\(746\) 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
\(750\) −7.60578 32.0717i −0.277724 1.17109i
\(751\) 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
\(755\) −0.443985 1.72333i −0.0161583 0.0627184i
\(756\) 5.33595 30.2617i 0.194067 1.10061i
\(757\) −35.5047 29.7919i −1.29044 1.08281i −0.991714 0.128467i \(-0.958994\pi\)
−0.298725 0.954339i \(-0.596561\pi\)
\(758\) 27.0967 + 9.86240i 0.984197 + 0.358219i
\(759\) 4.85553 13.3405i 0.176244 0.484228i
\(760\) −2.47415 + 8.88958i −0.0897468 + 0.322459i
\(761\) −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
\(765\) −1.48585 + 1.45744i −0.0537210 + 0.0526940i
\(766\) −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 \(0.594781\pi\)
\(770\) 5.69592 3.90696i 0.205267 0.140797i
\(771\) 61.3271i 2.20864i
\(772\) 0.894855 + 5.07498i 0.0322065 + 0.182652i