Properties

Label 190.2.k.d.101.2
Level $190$
Weight $2$
Character 190.101
Analytic conductor $1.517$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 190 = 2 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 190.k (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.51715763840\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Defining polynomial: \(x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} - 12862 x^{9} + 77397 x^{8} - 24822 x^{7} + 178501 x^{6} - 39408 x^{5} + 132588 x^{4} + 45584 x^{3} + 50640 x^{2} + 1824 x + 64\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 101.2
Root \(-0.288205 - 0.499186i\) of defining polynomial
Character \(\chi\) \(=\) 190.101
Dual form 190.2.k.d.111.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766044 + 0.642788i) q^{2} +(-0.541649 - 0.197144i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.173648 + 0.984808i) q^{5} +(0.541649 - 0.197144i) q^{6} +(2.43209 - 4.21251i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.04362 - 1.71480i) q^{9} +O(q^{10})\) \(q+(-0.766044 + 0.642788i) q^{2} +(-0.541649 - 0.197144i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.173648 + 0.984808i) q^{5} +(0.541649 - 0.197144i) q^{6} +(2.43209 - 4.21251i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.04362 - 1.71480i) q^{9} +(-0.766044 - 0.642788i) q^{10} +(2.68454 + 4.64975i) q^{11} +(-0.288205 + 0.499186i) q^{12} +(3.62457 - 1.31923i) q^{13} +(0.844657 + 4.79029i) q^{14} +(0.100093 - 0.567654i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(1.07407 - 0.901248i) q^{17} +2.66775 q^{18} +(4.35299 + 0.226908i) q^{19} +1.00000 q^{20} +(-2.14781 + 1.80223i) q^{21} +(-5.04528 - 1.83633i) q^{22} +(0.927092 - 5.25780i) q^{23} +(-0.100093 - 0.567654i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(-1.92859 + 3.34042i) q^{26} +(1.63348 + 2.82926i) q^{27} +(-3.72618 - 3.12664i) q^{28} +(-2.78364 - 2.33575i) q^{29} +(0.288205 + 0.499186i) q^{30} +(-4.10189 + 7.10468i) q^{31} +(0.939693 - 0.342020i) q^{32} +(-0.537405 - 3.04777i) q^{33} +(-0.243471 + 1.38079i) q^{34} +(4.57084 + 1.66365i) q^{35} +(-2.04362 + 1.71480i) q^{36} -10.4594 q^{37} +(-3.48044 + 2.62423i) q^{38} -2.22332 q^{39} +(-0.766044 + 0.642788i) q^{40} +(1.79322 + 0.652678i) q^{41} +(0.486869 - 2.76117i) q^{42} +(0.256764 + 1.45618i) q^{43} +(5.04528 - 1.83633i) q^{44} +(1.33388 - 2.31034i) q^{45} +(2.66945 + 4.62363i) q^{46} +(-2.39030 - 2.00570i) q^{47} +(0.441556 + 0.370510i) q^{48} +(-8.33016 - 14.4283i) q^{49} +(0.500000 - 0.866025i) q^{50} +(-0.759442 + 0.276414i) q^{51} +(-0.669793 - 3.79858i) q^{52} +(-0.312568 + 1.77266i) q^{53} +(-3.06993 - 1.11736i) q^{54} +(-4.11295 + 3.45117i) q^{55} +4.86419 q^{56} +(-2.31306 - 0.981070i) q^{57} +3.63378 q^{58} +(-5.61133 + 4.70846i) q^{59} +(-0.541649 - 0.197144i) q^{60} +(1.40916 - 7.99176i) q^{61} +(-1.42457 - 8.07914i) q^{62} +(-12.1939 + 4.43820i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(1.92859 + 3.34042i) q^{65} +(2.37075 + 1.98929i) q^{66} +(6.46916 + 5.42827i) q^{67} +(-0.701047 - 1.21425i) q^{68} +(-1.53870 + 2.66511i) q^{69} +(-4.57084 + 1.66365i) q^{70} +(1.04647 + 5.93485i) q^{71} +(0.463250 - 2.62722i) q^{72} +(1.19931 + 0.436515i) q^{73} +(8.01234 - 6.72316i) q^{74} +0.576411 q^{75} +(0.979350 - 4.24746i) q^{76} +26.1162 q^{77} +(1.70316 - 1.42912i) q^{78} +(15.6290 + 5.68848i) q^{79} +(0.173648 - 0.984808i) q^{80} +(1.06275 + 6.02717i) q^{81} +(-1.79322 + 0.652678i) q^{82} +(-7.23049 + 12.5236i) q^{83} +(1.40188 + 2.42814i) q^{84} +(1.07407 + 0.901248i) q^{85} +(-1.13271 - 0.950453i) q^{86} +(1.04727 + 1.81393i) q^{87} +(-2.68454 + 4.64975i) q^{88} +(-9.02905 + 3.28630i) q^{89} +(0.463250 + 2.62722i) q^{90} +(3.25800 - 18.4770i) q^{91} +(-5.01693 - 1.82601i) q^{92} +(3.62243 - 3.03958i) q^{93} +3.12031 q^{94} +(0.532428 + 4.32626i) q^{95} -0.576411 q^{96} +(-4.65687 + 3.90758i) q^{97} +(15.6556 + 5.69817i) q^{98} +(2.48722 - 14.1057i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 9q^{8} - 18q^{9} + O(q^{10}) \) \( 18q + 9q^{8} - 18q^{9} - 12q^{11} - 6q^{13} + 6q^{14} - 42q^{18} + 18q^{20} + 12q^{21} - 3q^{22} + 9q^{23} - 9q^{26} - 18q^{27} + 3q^{28} - 6q^{29} - 6q^{31} + 66q^{33} + 18q^{34} + 3q^{35} - 18q^{36} - 12q^{37} - 6q^{38} + 48q^{39} - 21q^{41} + 42q^{42} + 18q^{43} + 3q^{44} - 21q^{45} + 18q^{46} - 54q^{47} - 39q^{49} + 9q^{50} + 42q^{51} + 12q^{52} - 24q^{53} - 54q^{54} - 6q^{55} - 18q^{57} - 30q^{59} + 48q^{61} - 30q^{62} - 57q^{63} - 9q^{64} + 9q^{65} + 24q^{66} - 6q^{67} - 6q^{68} - 30q^{69} - 3q^{70} + 30q^{71} + 6q^{73} - 3q^{74} - 21q^{76} + 30q^{77} - 24q^{78} + 30q^{79} + 18q^{81} + 21q^{82} + 6q^{83} + 6q^{84} + 36q^{86} + 24q^{87} + 12q^{88} + 30q^{89} - 60q^{91} - 18q^{92} - 12q^{93} + 6q^{94} - 12q^{95} - 12q^{97} - 18q^{98} + 171q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 + 0.642788i −0.541675 + 0.454519i
\(3\) −0.541649 0.197144i −0.312721 0.113821i 0.180892 0.983503i \(-0.442102\pi\)
−0.493613 + 0.869682i \(0.664324\pi\)
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) 0.173648 + 0.984808i 0.0776578 + 0.440419i
\(6\) 0.541649 0.197144i 0.221127 0.0804837i
\(7\) 2.43209 4.21251i 0.919245 1.59218i 0.118681 0.992932i \(-0.462134\pi\)
0.800564 0.599247i \(-0.204533\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) −2.04362 1.71480i −0.681205 0.571599i
\(10\) −0.766044 0.642788i −0.242245 0.203267i
\(11\) 2.68454 + 4.64975i 0.809418 + 1.40195i 0.913268 + 0.407360i \(0.133550\pi\)
−0.103850 + 0.994593i \(0.533116\pi\)
\(12\) −0.288205 + 0.499186i −0.0831977 + 0.144103i
\(13\) 3.62457 1.31923i 1.00527 0.365890i 0.213658 0.976909i \(-0.431462\pi\)
0.791616 + 0.611019i \(0.209240\pi\)
\(14\) 0.844657 + 4.79029i 0.225744 + 1.28026i
\(15\) 0.100093 0.567654i 0.0258438 0.146568i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) 1.07407 0.901248i 0.260499 0.218585i −0.503178 0.864183i \(-0.667836\pi\)
0.763678 + 0.645598i \(0.223392\pi\)
\(18\) 2.66775 0.628795
\(19\) 4.35299 + 0.226908i 0.998644 + 0.0520563i
\(20\) 1.00000 0.223607
\(21\) −2.14781 + 1.80223i −0.468691 + 0.393278i
\(22\) −5.04528 1.83633i −1.07566 0.391507i
\(23\) 0.927092 5.25780i 0.193312 1.09633i −0.721490 0.692425i \(-0.756543\pi\)
0.914802 0.403902i \(-0.132346\pi\)
\(24\) −0.100093 0.567654i −0.0204313 0.115872i
\(25\) −0.939693 + 0.342020i −0.187939 + 0.0684040i
\(26\) −1.92859 + 3.34042i −0.378228 + 0.655110i
\(27\) 1.63348 + 2.82926i 0.314363 + 0.544492i
\(28\) −3.72618 3.12664i −0.704183 0.590879i
\(29\) −2.78364 2.33575i −0.516908 0.433738i 0.346644 0.937997i \(-0.387321\pi\)
−0.863552 + 0.504259i \(0.831766\pi\)
\(30\) 0.288205 + 0.499186i 0.0526189 + 0.0911385i
\(31\) −4.10189 + 7.10468i −0.736721 + 1.27604i 0.217244 + 0.976117i \(0.430293\pi\)
−0.953964 + 0.299920i \(0.903040\pi\)
\(32\) 0.939693 0.342020i 0.166116 0.0604612i
\(33\) −0.537405 3.04777i −0.0935501 0.530549i
\(34\) −0.243471 + 1.38079i −0.0417549 + 0.236804i
\(35\) 4.57084 + 1.66365i 0.772613 + 0.281208i
\(36\) −2.04362 + 1.71480i −0.340603 + 0.285800i
\(37\) −10.4594 −1.71951 −0.859755 0.510706i \(-0.829384\pi\)
−0.859755 + 0.510706i \(0.829384\pi\)
\(38\) −3.48044 + 2.62423i −0.564601 + 0.425706i
\(39\) −2.22332 −0.356016
\(40\) −0.766044 + 0.642788i −0.121122 + 0.101634i
\(41\) 1.79322 + 0.652678i 0.280054 + 0.101931i 0.478228 0.878236i \(-0.341279\pi\)
−0.198175 + 0.980167i \(0.563501\pi\)
\(42\) 0.486869 2.76117i 0.0751256 0.426058i
\(43\) 0.256764 + 1.45618i 0.0391561 + 0.222065i 0.998107 0.0615084i \(-0.0195911\pi\)
−0.958950 + 0.283574i \(0.908480\pi\)
\(44\) 5.04528 1.83633i 0.760604 0.276837i
\(45\) 1.33388 2.31034i 0.198842 0.344405i
\(46\) 2.66945 + 4.62363i 0.393590 + 0.681717i
\(47\) −2.39030 2.00570i −0.348661 0.292561i 0.451591 0.892225i \(-0.350857\pi\)
−0.800252 + 0.599664i \(0.795301\pi\)
\(48\) 0.441556 + 0.370510i 0.0637331 + 0.0534785i
\(49\) −8.33016 14.4283i −1.19002 2.06118i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) −0.759442 + 0.276414i −0.106343 + 0.0387058i
\(52\) −0.669793 3.79858i −0.0928835 0.526769i
\(53\) −0.312568 + 1.77266i −0.0429346 + 0.243494i −0.998721 0.0505691i \(-0.983896\pi\)
0.955786 + 0.294063i \(0.0950076\pi\)
\(54\) −3.06993 1.11736i −0.417765 0.152054i
\(55\) −4.11295 + 3.45117i −0.554590 + 0.465356i
\(56\) 4.86419 0.650004
\(57\) −2.31306 0.981070i −0.306372 0.129946i
\(58\) 3.63378 0.477139
\(59\) −5.61133 + 4.70846i −0.730532 + 0.612990i −0.930277 0.366859i \(-0.880433\pi\)
0.199744 + 0.979848i \(0.435989\pi\)
\(60\) −0.541649 0.197144i −0.0699266 0.0254512i
\(61\) 1.40916 7.99176i 0.180425 1.02324i −0.751269 0.659996i \(-0.770558\pi\)
0.931694 0.363244i \(-0.118331\pi\)
\(62\) −1.42457 8.07914i −0.180921 1.02605i
\(63\) −12.1939 + 4.43820i −1.53628 + 0.559161i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 1.92859 + 3.34042i 0.239212 + 0.414328i
\(66\) 2.37075 + 1.98929i 0.291819 + 0.244865i
\(67\) 6.46916 + 5.42827i 0.790334 + 0.663169i 0.945828 0.324668i \(-0.105253\pi\)
−0.155494 + 0.987837i \(0.549697\pi\)
\(68\) −0.701047 1.21425i −0.0850144 0.147249i
\(69\) −1.53870 + 2.66511i −0.185238 + 0.320842i
\(70\) −4.57084 + 1.66365i −0.546320 + 0.198844i
\(71\) 1.04647 + 5.93485i 0.124194 + 0.704337i 0.981783 + 0.190003i \(0.0608498\pi\)
−0.857590 + 0.514334i \(0.828039\pi\)
\(72\) 0.463250 2.62722i 0.0545945 0.309621i
\(73\) 1.19931 + 0.436515i 0.140369 + 0.0510902i 0.411249 0.911523i \(-0.365093\pi\)
−0.270880 + 0.962613i \(0.587315\pi\)
\(74\) 8.01234 6.72316i 0.931416 0.781551i
\(75\) 0.576411 0.0665582
\(76\) 0.979350 4.24746i 0.112339 0.487217i
\(77\) 26.1162 2.97621
\(78\) 1.70316 1.42912i 0.192845 0.161816i
\(79\) 15.6290 + 5.68848i 1.75840 + 0.640004i 0.999931 0.0117101i \(-0.00372754\pi\)
0.758465 + 0.651714i \(0.225950\pi\)
\(80\) 0.173648 0.984808i 0.0194145 0.110105i
\(81\) 1.06275 + 6.02717i 0.118084 + 0.669685i
\(82\) −1.79322 + 0.652678i −0.198028 + 0.0720762i
\(83\) −7.23049 + 12.5236i −0.793649 + 1.37464i 0.130044 + 0.991508i \(0.458488\pi\)
−0.923693 + 0.383133i \(0.874845\pi\)
\(84\) 1.40188 + 2.42814i 0.152958 + 0.264931i
\(85\) 1.07407 + 0.901248i 0.116499 + 0.0977541i
\(86\) −1.13271 0.950453i −0.122143 0.102490i
\(87\) 1.04727 + 1.81393i 0.112280 + 0.194474i
\(88\) −2.68454 + 4.64975i −0.286172 + 0.495665i
\(89\) −9.02905 + 3.28630i −0.957077 + 0.348348i −0.772887 0.634543i \(-0.781188\pi\)
−0.184190 + 0.982891i \(0.558966\pi\)
\(90\) 0.463250 + 2.62722i 0.0488308 + 0.276933i
\(91\) 3.25800 18.4770i 0.341531 1.93692i
\(92\) −5.01693 1.82601i −0.523051 0.190375i
\(93\) 3.62243 3.03958i 0.375628 0.315189i
\(94\) 3.12031 0.321836
\(95\) 0.532428 + 4.32626i 0.0546259 + 0.443865i
\(96\) −0.576411 −0.0588297
\(97\) −4.65687 + 3.90758i −0.472834 + 0.396755i −0.847827 0.530273i \(-0.822089\pi\)
0.374993 + 0.927028i \(0.377645\pi\)
\(98\) 15.6556 + 5.69817i 1.58145 + 0.575602i
\(99\) 2.48722 14.1057i 0.249975 1.41768i
\(100\) 0.173648 + 0.984808i 0.0173648 + 0.0984808i
\(101\) −1.17995 + 0.429466i −0.117409 + 0.0427335i −0.400057 0.916490i \(-0.631010\pi\)
0.282647 + 0.959224i \(0.408787\pi\)
\(102\) 0.404091 0.699906i 0.0400109 0.0693010i
\(103\) −3.68352 6.38005i −0.362948 0.628645i 0.625496 0.780227i \(-0.284897\pi\)
−0.988445 + 0.151582i \(0.951563\pi\)
\(104\) 2.95477 + 2.47935i 0.289739 + 0.243120i
\(105\) −2.14781 1.80223i −0.209605 0.175879i
\(106\) −0.900005 1.55885i −0.0874162 0.151409i
\(107\) 4.36539 7.56108i 0.422018 0.730957i −0.574119 0.818772i \(-0.694655\pi\)
0.996137 + 0.0878153i \(0.0279885\pi\)
\(108\) 3.06993 1.11736i 0.295404 0.107518i
\(109\) 1.41173 + 8.00630i 0.135219 + 0.766865i 0.974707 + 0.223487i \(0.0717439\pi\)
−0.839488 + 0.543378i \(0.817145\pi\)
\(110\) 0.932329 5.28750i 0.0888941 0.504144i
\(111\) 5.66531 + 2.06200i 0.537727 + 0.195717i
\(112\) −3.72618 + 3.12664i −0.352091 + 0.295440i
\(113\) −4.48210 −0.421640 −0.210820 0.977525i \(-0.567613\pi\)
−0.210820 + 0.977525i \(0.567613\pi\)
\(114\) 2.40253 0.735261i 0.225017 0.0688635i
\(115\) 5.33891 0.497856
\(116\) −2.78364 + 2.33575i −0.258454 + 0.216869i
\(117\) −9.66944 3.51939i −0.893940 0.325368i
\(118\) 1.27198 7.21378i 0.117096 0.664082i
\(119\) −1.18429 6.71643i −0.108564 0.615694i
\(120\) 0.541649 0.197144i 0.0494455 0.0179967i
\(121\) −8.91346 + 15.4386i −0.810314 + 1.40351i
\(122\) 4.05753 + 7.02784i 0.367351 + 0.636271i
\(123\) −0.842623 0.707045i −0.0759768 0.0637521i
\(124\) 6.28445 + 5.27328i 0.564361 + 0.473555i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) 6.48822 11.2379i 0.578017 1.00115i
\(127\) 0.130789 0.0476033i 0.0116057 0.00422411i −0.336211 0.941787i \(-0.609145\pi\)
0.347816 + 0.937563i \(0.386923\pi\)
\(128\) −0.173648 0.984808i −0.0153485 0.0870455i
\(129\) 0.148001 0.839357i 0.0130308 0.0739013i
\(130\) −3.62457 1.31923i −0.317896 0.115705i
\(131\) 9.52200 7.98991i 0.831941 0.698082i −0.123795 0.992308i \(-0.539506\pi\)
0.955736 + 0.294226i \(0.0950620\pi\)
\(132\) −3.09479 −0.269367
\(133\) 11.5427 17.7851i 1.00088 1.54217i
\(134\) −8.44489 −0.729528
\(135\) −2.50263 + 2.09996i −0.215392 + 0.180735i
\(136\) 1.31754 + 0.479544i 0.112978 + 0.0411206i
\(137\) −2.49734 + 14.1631i −0.213362 + 1.21004i 0.670364 + 0.742032i \(0.266138\pi\)
−0.883726 + 0.468004i \(0.844973\pi\)
\(138\) −0.534386 3.03065i −0.0454899 0.257986i
\(139\) −16.7746 + 6.10544i −1.42280 + 0.517857i −0.934859 0.355020i \(-0.884474\pi\)
−0.487941 + 0.872877i \(0.662252\pi\)
\(140\) 2.43209 4.21251i 0.205549 0.356022i
\(141\) 0.899291 + 1.55762i 0.0757340 + 0.131175i
\(142\) −4.61650 3.87370i −0.387408 0.325074i
\(143\) 15.8644 + 13.3118i 1.32665 + 1.11319i
\(144\) 1.33388 + 2.31034i 0.111156 + 0.192528i
\(145\) 1.81689 3.14694i 0.150884 0.261340i
\(146\) −1.19931 + 0.436515i −0.0992559 + 0.0361262i
\(147\) 1.66758 + 9.45729i 0.137539 + 0.780024i
\(148\) −1.81625 + 10.3005i −0.149295 + 0.846694i
\(149\) 2.71250 + 0.987271i 0.222217 + 0.0808804i 0.450729 0.892661i \(-0.351164\pi\)
−0.228512 + 0.973541i \(0.573386\pi\)
\(150\) −0.441556 + 0.370510i −0.0360529 + 0.0302520i
\(151\) 2.01805 0.164226 0.0821132 0.996623i \(-0.473833\pi\)
0.0821132 + 0.996623i \(0.473833\pi\)
\(152\) 1.97999 + 3.88325i 0.160598 + 0.314973i
\(153\) −3.74044 −0.302396
\(154\) −20.0061 + 16.7871i −1.61214 + 1.35275i
\(155\) −7.70903 2.80586i −0.619204 0.225372i
\(156\) −0.386076 + 2.18954i −0.0309108 + 0.175304i
\(157\) −1.91697 10.8717i −0.152991 0.867655i −0.960600 0.277936i \(-0.910350\pi\)
0.807609 0.589719i \(-0.200761\pi\)
\(158\) −15.6290 + 5.68848i −1.24337 + 0.452551i
\(159\) 0.518772 0.898540i 0.0411413 0.0712589i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −19.8938 16.6928i −1.56785 1.31558i
\(162\) −4.68830 3.93395i −0.368348 0.309081i
\(163\) 2.96434 + 5.13439i 0.232185 + 0.402157i 0.958451 0.285257i \(-0.0920791\pi\)
−0.726266 + 0.687414i \(0.758746\pi\)
\(164\) 0.954151 1.65264i 0.0745067 0.129049i
\(165\) 2.90815 1.05848i 0.226399 0.0824026i
\(166\) −2.51112 14.2413i −0.194901 1.10534i
\(167\) 1.25507 7.11784i 0.0971200 0.550795i −0.896957 0.442118i \(-0.854227\pi\)
0.994077 0.108677i \(-0.0346615\pi\)
\(168\) −2.63468 0.958946i −0.203270 0.0739843i
\(169\) 1.43852 1.20707i 0.110656 0.0928512i
\(170\) −1.40209 −0.107536
\(171\) −8.50673 7.92821i −0.650526 0.606285i
\(172\) 1.47864 0.112745
\(173\) −3.95167 + 3.31585i −0.300440 + 0.252099i −0.780528 0.625121i \(-0.785049\pi\)
0.480087 + 0.877221i \(0.340605\pi\)
\(174\) −1.96823 0.716378i −0.149211 0.0543085i
\(175\) −0.844657 + 4.79029i −0.0638501 + 0.362112i
\(176\) −0.932329 5.28750i −0.0702770 0.398560i
\(177\) 3.96761 1.44409i 0.298224 0.108545i
\(178\) 4.80426 8.32122i 0.360094 0.623701i
\(179\) −4.09186 7.08730i −0.305840 0.529730i 0.671608 0.740906i \(-0.265604\pi\)
−0.977448 + 0.211177i \(0.932270\pi\)
\(180\) −2.04362 1.71480i −0.152322 0.127813i
\(181\) −2.62934 2.20628i −0.195437 0.163991i 0.539818 0.841782i \(-0.318493\pi\)
−0.735255 + 0.677791i \(0.762938\pi\)
\(182\) 9.38103 + 16.2484i 0.695368 + 1.20441i
\(183\) −2.33880 + 4.05092i −0.172889 + 0.299453i
\(184\) 5.01693 1.82601i 0.369853 0.134616i
\(185\) −1.81625 10.3005i −0.133533 0.757306i
\(186\) −0.821137 + 4.65690i −0.0602087 + 0.341461i
\(187\) 7.07395 + 2.57471i 0.517298 + 0.188281i
\(188\) −2.39030 + 2.00570i −0.174330 + 0.146281i
\(189\) 15.8911 1.15591
\(190\) −3.18873 2.97187i −0.231335 0.215602i
\(191\) 3.77584 0.273210 0.136605 0.990626i \(-0.456381\pi\)
0.136605 + 0.990626i \(0.456381\pi\)
\(192\) 0.441556 0.370510i 0.0318666 0.0267392i
\(193\) −11.4435 4.16508i −0.823718 0.299809i −0.104440 0.994531i \(-0.533305\pi\)
−0.719278 + 0.694722i \(0.755527\pi\)
\(194\) 1.05563 5.98676i 0.0757896 0.429824i
\(195\) −0.386076 2.18954i −0.0276475 0.156797i
\(196\) −15.6556 + 5.69817i −1.11826 + 0.407012i
\(197\) −3.60118 + 6.23743i −0.256574 + 0.444399i −0.965322 0.261063i \(-0.915927\pi\)
0.708748 + 0.705462i \(0.249260\pi\)
\(198\) 7.16167 + 12.4044i 0.508958 + 0.881541i
\(199\) 4.47147 + 3.75201i 0.316974 + 0.265973i 0.787367 0.616484i \(-0.211443\pi\)
−0.470393 + 0.882457i \(0.655888\pi\)
\(200\) −0.766044 0.642788i −0.0541675 0.0454519i
\(201\) −2.43386 4.21557i −0.171671 0.297344i
\(202\) 0.627838 1.08745i 0.0441745 0.0765125i
\(203\) −16.6094 + 6.04534i −1.16575 + 0.424299i
\(204\) 0.140339 + 0.795903i 0.00982571 + 0.0557244i
\(205\) −0.331373 + 1.87931i −0.0231441 + 0.131257i
\(206\) 6.92276 + 2.51968i 0.482332 + 0.175554i
\(207\) −10.9107 + 9.15514i −0.758344 + 0.636327i
\(208\) −3.85718 −0.267448
\(209\) 10.6307 + 20.8495i 0.735340 + 1.44219i
\(210\) 2.80377 0.193478
\(211\) 8.17443 6.85916i 0.562751 0.472204i −0.316481 0.948599i \(-0.602501\pi\)
0.879231 + 0.476395i \(0.158057\pi\)
\(212\) 1.69146 + 0.615640i 0.116170 + 0.0422823i
\(213\) 0.603199 3.42091i 0.0413305 0.234397i
\(214\) 1.51608 + 8.59814i 0.103637 + 0.587757i
\(215\) −1.38947 + 0.505726i −0.0947611 + 0.0344902i
\(216\) −1.63348 + 2.82926i −0.111144 + 0.192507i
\(217\) 19.9523 + 34.5585i 1.35445 + 2.34598i
\(218\) −6.22780 5.22574i −0.421800 0.353932i
\(219\) −0.563551 0.472875i −0.0380812 0.0319539i
\(220\) 2.68454 + 4.64975i 0.180991 + 0.313486i
\(221\) 2.70407 4.68358i 0.181895 0.315052i
\(222\) −5.66531 + 2.06200i −0.380231 + 0.138393i
\(223\) −0.0172725 0.0979573i −0.00115665 0.00655971i 0.984224 0.176927i \(-0.0566157\pi\)
−0.985381 + 0.170367i \(0.945505\pi\)
\(224\) 0.844657 4.79029i 0.0564360 0.320065i
\(225\) 2.50687 + 0.912424i 0.167124 + 0.0608283i
\(226\) 3.43349 2.88104i 0.228392 0.191644i
\(227\) −13.8262 −0.917680 −0.458840 0.888519i \(-0.651735\pi\)
−0.458840 + 0.888519i \(0.651735\pi\)
\(228\) −1.36782 + 2.10756i −0.0905864 + 0.139576i
\(229\) 15.5752 1.02924 0.514619 0.857419i \(-0.327934\pi\)
0.514619 + 0.857419i \(0.327934\pi\)
\(230\) −4.08984 + 3.43178i −0.269676 + 0.226285i
\(231\) −14.1458 5.14865i −0.930725 0.338756i
\(232\) 0.630999 3.57857i 0.0414271 0.234945i
\(233\) −2.64658 15.0095i −0.173384 0.983307i −0.939993 0.341193i \(-0.889169\pi\)
0.766610 0.642113i \(-0.221942\pi\)
\(234\) 9.66944 3.51939i 0.632111 0.230070i
\(235\) 1.56016 2.70227i 0.101773 0.176277i
\(236\) 3.66253 + 6.34369i 0.238411 + 0.412939i
\(237\) −7.34396 6.16232i −0.477042 0.400285i
\(238\) 5.22446 + 4.38384i 0.338651 + 0.284162i
\(239\) −8.41167 14.5694i −0.544106 0.942419i −0.998663 0.0517011i \(-0.983536\pi\)
0.454557 0.890718i \(-0.349798\pi\)
\(240\) −0.288205 + 0.499186i −0.0186036 + 0.0322223i
\(241\) 8.55776 3.11477i 0.551254 0.200640i −0.0513496 0.998681i \(-0.516352\pi\)
0.602604 + 0.798041i \(0.294130\pi\)
\(242\) −3.09561 17.5561i −0.198993 1.12855i
\(243\) 2.31448 13.1261i 0.148474 0.842039i
\(244\) −7.62565 2.77551i −0.488182 0.177684i
\(245\) 12.7625 10.7090i 0.815369 0.684176i
\(246\) 1.09997 0.0701313
\(247\) 16.0770 4.92017i 1.02296 0.313063i
\(248\) −8.20377 −0.520940
\(249\) 6.38533 5.35793i 0.404654 0.339545i
\(250\) 0.939693 + 0.342020i 0.0594314 + 0.0216313i
\(251\) 2.91829 16.5504i 0.184201 1.04465i −0.742777 0.669539i \(-0.766492\pi\)
0.926978 0.375116i \(-0.122397\pi\)
\(252\) 2.25334 + 12.7793i 0.141947 + 0.805020i
\(253\) 26.9363 9.80400i 1.69347 0.616372i
\(254\) −0.0695914 + 0.120536i −0.00436655 + 0.00756309i
\(255\) −0.404091 0.699906i −0.0253051 0.0438298i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) −7.58176 6.36185i −0.472937 0.396841i 0.374927 0.927054i \(-0.377668\pi\)
−0.847865 + 0.530213i \(0.822112\pi\)
\(258\) 0.426153 + 0.738118i 0.0265311 + 0.0459532i
\(259\) −25.4382 + 44.0602i −1.58065 + 2.73777i
\(260\) 3.62457 1.31923i 0.224786 0.0818154i
\(261\) 1.68335 + 9.54674i 0.104197 + 0.590929i
\(262\) −2.15846 + 12.2412i −0.133350 + 0.756267i
\(263\) 21.0609 + 7.66554i 1.29867 + 0.472677i 0.896564 0.442915i \(-0.146056\pi\)
0.402107 + 0.915593i \(0.368278\pi\)
\(264\) 2.37075 1.98929i 0.145909 0.122432i
\(265\) −1.80001 −0.110574
\(266\) 2.58983 + 21.0437i 0.158793 + 1.29027i
\(267\) 5.53845 0.338948
\(268\) 6.46916 5.42827i 0.395167 0.331584i
\(269\) −7.02217 2.55586i −0.428149 0.155834i 0.118952 0.992900i \(-0.462047\pi\)
−0.547101 + 0.837066i \(0.684269\pi\)
\(270\) 0.567300 3.21732i 0.0345248 0.195800i
\(271\) −1.84950 10.4890i −0.112349 0.637163i −0.988029 0.154271i \(-0.950697\pi\)
0.875680 0.482893i \(-0.160414\pi\)
\(272\) −1.31754 + 0.479544i −0.0798874 + 0.0290766i
\(273\) −5.40733 + 9.36576i −0.327266 + 0.566842i
\(274\) −7.19080 12.4548i −0.434412 0.752424i
\(275\) −4.11295 3.45117i −0.248020 0.208113i
\(276\) 2.35743 + 1.97812i 0.141900 + 0.119069i
\(277\) 1.16317 + 2.01467i 0.0698880 + 0.121050i 0.898852 0.438253i \(-0.144402\pi\)
−0.828964 + 0.559302i \(0.811069\pi\)
\(278\) 8.92555 15.4595i 0.535319 0.927200i
\(279\) 20.5658 7.48532i 1.23124 0.448135i
\(280\) 0.844657 + 4.79029i 0.0504779 + 0.286275i
\(281\) −2.96472 + 16.8137i −0.176860 + 1.00302i 0.759115 + 0.650957i \(0.225632\pi\)
−0.935975 + 0.352067i \(0.885479\pi\)
\(282\) −1.69011 0.615151i −0.100645 0.0366317i
\(283\) 6.48680 5.44307i 0.385600 0.323557i −0.429296 0.903164i \(-0.641238\pi\)
0.814896 + 0.579607i \(0.196794\pi\)
\(284\) 6.02641 0.357601
\(285\) 0.564508 2.44828i 0.0334385 0.145023i
\(286\) −20.7095 −1.22458
\(287\) 7.11069 5.96658i 0.419731 0.352196i
\(288\) −2.50687 0.912424i −0.147718 0.0537651i
\(289\) −2.61065 + 14.8057i −0.153568 + 0.870925i
\(290\) 0.630999 + 3.57857i 0.0370535 + 0.210141i
\(291\) 3.29275 1.19846i 0.193024 0.0702551i
\(292\) 0.638142 1.10529i 0.0373444 0.0646824i
\(293\) 1.29622 + 2.24512i 0.0757260 + 0.131161i 0.901402 0.432984i \(-0.142539\pi\)
−0.825676 + 0.564145i \(0.809206\pi\)
\(294\) −7.35647 6.17281i −0.429038 0.360006i
\(295\) −5.61133 4.70846i −0.326704 0.274137i
\(296\) −5.22969 9.05808i −0.303969 0.526490i
\(297\) −8.77025 + 15.1905i −0.508901 + 0.881443i
\(298\) −2.71250 + 0.987271i −0.157131 + 0.0571911i
\(299\) −3.57596 20.2803i −0.206803 1.17284i
\(300\) 0.100093 0.567654i 0.00577885 0.0327735i
\(301\) 6.75864 + 2.45994i 0.389562 + 0.141789i
\(302\) −1.54591 + 1.29718i −0.0889573 + 0.0746441i
\(303\) 0.723785 0.0415804
\(304\) −4.01286 1.70203i −0.230154 0.0976183i
\(305\) 8.11505 0.464666
\(306\) 2.86534 2.40431i 0.163801 0.137445i
\(307\) 3.87311 + 1.40970i 0.221050 + 0.0804557i 0.450171 0.892942i \(-0.351363\pi\)
−0.229121 + 0.973398i \(0.573585\pi\)
\(308\) 4.53502 25.7194i 0.258407 1.46550i
\(309\) 0.737387 + 4.18193i 0.0419485 + 0.237902i
\(310\) 7.70903 2.80586i 0.437843 0.159362i
\(311\) −1.24153 + 2.15040i −0.0704008 + 0.121938i −0.899077 0.437791i \(-0.855761\pi\)
0.828676 + 0.559728i \(0.189094\pi\)
\(312\) −1.11166 1.92545i −0.0629354 0.109007i
\(313\) 4.12243 + 3.45913i 0.233014 + 0.195522i 0.751817 0.659372i \(-0.229178\pi\)
−0.518803 + 0.854894i \(0.673622\pi\)
\(314\) 8.45667 + 7.09599i 0.477238 + 0.400450i
\(315\) −6.48822 11.2379i −0.365570 0.633185i
\(316\) 8.31600 14.4037i 0.467812 0.810273i
\(317\) −18.2914 + 6.65753i −1.02735 + 0.373924i −0.800071 0.599906i \(-0.795205\pi\)
−0.227278 + 0.973830i \(0.572983\pi\)
\(318\) 0.180168 + 1.02178i 0.0101033 + 0.0572987i
\(319\) 3.38788 19.2136i 0.189685 1.07576i
\(320\) −0.939693 0.342020i −0.0525304 0.0191195i
\(321\) −3.85513 + 3.23484i −0.215172 + 0.180551i
\(322\) 25.9695 1.44722
\(323\) 4.87990 3.67941i 0.271525 0.204728i
\(324\) 6.12015 0.340008
\(325\) −2.95477 + 2.47935i −0.163901 + 0.137530i
\(326\) −5.57114 2.02773i −0.308557 0.112306i
\(327\) 0.813735 4.61492i 0.0449996 0.255206i
\(328\) 0.331373 + 1.87931i 0.0182970 + 0.103768i
\(329\) −14.2625 + 5.19111i −0.786315 + 0.286195i
\(330\) −1.54739 + 2.68017i −0.0851813 + 0.147538i
\(331\) 9.35511 + 16.2035i 0.514203 + 0.890626i 0.999864 + 0.0164787i \(0.00524557\pi\)
−0.485661 + 0.874147i \(0.661421\pi\)
\(332\) 11.0778 + 9.29534i 0.607971 + 0.510148i
\(333\) 21.3749 + 17.9357i 1.17134 + 0.982870i
\(334\) 3.61382 + 6.25932i 0.197739 + 0.342495i
\(335\) −4.22245 + 7.31349i −0.230697 + 0.399579i
\(336\) 2.63468 0.958946i 0.143734 0.0523148i
\(337\) −4.35808 24.7159i −0.237400 1.34636i −0.837501 0.546436i \(-0.815984\pi\)
0.600101 0.799924i \(-0.295127\pi\)
\(338\) −0.326087 + 1.84933i −0.0177368 + 0.100590i
\(339\) 2.42772 + 0.883619i 0.131856 + 0.0479916i
\(340\) 1.07407 0.901248i 0.0582494 0.0488770i
\(341\) −44.0466 −2.38526
\(342\) 11.6127 + 0.605335i 0.627942 + 0.0327328i
\(343\) −46.9896 −2.53720
\(344\) −1.13271 + 0.950453i −0.0610714 + 0.0512450i
\(345\) −2.89181 1.05253i −0.155690 0.0566665i
\(346\) 0.895772 5.08018i 0.0481570 0.273112i
\(347\) 3.95111 + 22.4078i 0.212107 + 1.20292i 0.885857 + 0.463957i \(0.153571\pi\)
−0.673751 + 0.738958i \(0.735318\pi\)
\(348\) 1.96823 0.716378i 0.105508 0.0384019i
\(349\) −6.58190 + 11.4002i −0.352321 + 0.610238i −0.986656 0.162820i \(-0.947941\pi\)
0.634335 + 0.773059i \(0.281274\pi\)
\(350\) −2.43209 4.21251i −0.130001 0.225168i
\(351\) 9.65310 + 8.09992i 0.515245 + 0.432341i
\(352\) 4.11295 + 3.45117i 0.219221 + 0.183948i
\(353\) 6.15281 + 10.6570i 0.327481 + 0.567213i 0.982011 0.188822i \(-0.0604670\pi\)
−0.654530 + 0.756036i \(0.727134\pi\)
\(354\) −2.11112 + 3.65657i −0.112205 + 0.194345i
\(355\) −5.66297 + 2.06115i −0.300559 + 0.109395i
\(356\) 1.66850 + 9.46254i 0.0884304 + 0.501513i
\(357\) −0.682636 + 3.87142i −0.0361290 + 0.204897i
\(358\) 7.69017 + 2.79899i 0.406438 + 0.147931i
\(359\) 9.62244 8.07418i 0.507853 0.426139i −0.352520 0.935804i \(-0.614675\pi\)
0.860373 + 0.509665i \(0.170231\pi\)
\(360\) 2.66775 0.140603
\(361\) 18.8970 + 1.97546i 0.994580 + 0.103972i
\(362\) 3.43236 0.180401
\(363\) 7.87158 6.60504i 0.413151 0.346675i
\(364\) −17.6306 6.41700i −0.924093 0.336342i
\(365\) −0.221624 + 1.25689i −0.0116003 + 0.0657888i
\(366\) −0.812257 4.60654i −0.0424574 0.240788i
\(367\) −2.52261 + 0.918156i −0.131679 + 0.0479274i −0.407019 0.913420i \(-0.633432\pi\)
0.275340 + 0.961347i \(0.411210\pi\)
\(368\) −2.66945 + 4.62363i −0.139155 + 0.241023i
\(369\) −2.54544 4.40883i −0.132510 0.229514i
\(370\) 8.01234 + 6.72316i 0.416542 + 0.349520i
\(371\) 6.70717 + 5.62798i 0.348219 + 0.292190i
\(372\) −2.36437 4.09521i −0.122587 0.212327i
\(373\) 9.27119 16.0582i 0.480044 0.831461i −0.519694 0.854353i \(-0.673954\pi\)
0.999738 + 0.0228917i \(0.00728729\pi\)
\(374\) −7.07395 + 2.57471i −0.365785 + 0.133135i
\(375\) 0.100093 + 0.567654i 0.00516876 + 0.0293135i
\(376\) 0.541837 3.07291i 0.0279431 0.158473i
\(377\) −13.1709 4.79381i −0.678334 0.246894i
\(378\) −12.1733 + 10.2146i −0.626125 + 0.525381i
\(379\) 11.5855 0.595108 0.297554 0.954705i \(-0.403829\pi\)
0.297554 + 0.954705i \(0.403829\pi\)
\(380\) 4.35299 + 0.226908i 0.223304 + 0.0116401i
\(381\) −0.0802265 −0.00411013
\(382\) −2.89246 + 2.42706i −0.147991 + 0.124179i
\(383\) −27.3254 9.94564i −1.39626 0.508199i −0.469197 0.883094i \(-0.655457\pi\)
−0.927067 + 0.374895i \(0.877679\pi\)
\(384\) −0.100093 + 0.567654i −0.00510783 + 0.0289680i
\(385\) 4.53502 + 25.7194i 0.231126 + 1.31078i
\(386\) 11.4435 4.16508i 0.582457 0.211997i
\(387\) 1.97233 3.41617i 0.100259 0.173654i
\(388\) 3.03956 + 5.26467i 0.154310 + 0.267273i
\(389\) 22.8144 + 19.1436i 1.15674 + 0.970618i 0.999856 0.0169993i \(-0.00541131\pi\)
0.156882 + 0.987617i \(0.449856\pi\)
\(390\) 1.70316 + 1.42912i 0.0862430 + 0.0723665i
\(391\) −3.74282 6.48276i −0.189283 0.327847i
\(392\) 8.33016 14.4283i 0.420737 0.728737i
\(393\) −6.73274 + 2.45052i −0.339622 + 0.123612i
\(394\) −1.25068 7.09294i −0.0630082 0.357337i
\(395\) −2.88812 + 16.3793i −0.145317 + 0.824133i
\(396\) −13.4595 4.89887i −0.676367 0.246178i
\(397\) 4.80307 4.03025i 0.241059 0.202273i −0.514252 0.857639i \(-0.671930\pi\)
0.755311 + 0.655367i \(0.227486\pi\)
\(398\) −5.83709 −0.292587
\(399\) −9.75834 + 7.35772i −0.488528 + 0.368347i
\(400\) 1.00000 0.0500000
\(401\) 7.58485 6.36445i 0.378769 0.317825i −0.433450 0.901178i \(-0.642704\pi\)
0.812219 + 0.583353i \(0.198259\pi\)
\(402\) 4.57417 + 1.66486i 0.228139 + 0.0830357i
\(403\) −5.49483 + 31.1627i −0.273717 + 1.55233i
\(404\) 0.218046 + 1.23660i 0.0108482 + 0.0615231i
\(405\) −5.75106 + 2.09321i −0.285772 + 0.104013i
\(406\) 8.83769 15.3073i 0.438607 0.759690i
\(407\) −28.0786 48.6335i −1.39180 2.41067i
\(408\) −0.619103 0.519489i −0.0306502 0.0257185i
\(409\) −23.4859 19.7070i −1.16130 0.974449i −0.161380 0.986892i \(-0.551595\pi\)
−0.999923 + 0.0124433i \(0.996039\pi\)
\(410\) −0.954151 1.65264i −0.0471222 0.0816180i
\(411\) 4.14486 7.17910i 0.204451 0.354119i
\(412\) −6.92276 + 2.51968i −0.341060 + 0.124136i
\(413\) 6.18717 + 35.0892i 0.304451 + 1.72663i
\(414\) 2.47325 14.0265i 0.121554 0.689365i
\(415\) −13.5889 4.94595i −0.667052 0.242787i
\(416\) 2.95477 2.47935i 0.144870 0.121560i
\(417\) 10.2896 0.503882
\(418\) −21.5454 9.13834i −1.05382 0.446971i
\(419\) 17.9296 0.875916 0.437958 0.898995i \(-0.355702\pi\)
0.437958 + 0.898995i \(0.355702\pi\)
\(420\) −2.14781 + 1.80223i −0.104802 + 0.0879397i
\(421\) 30.2850 + 11.0228i 1.47600 + 0.537220i 0.949723 0.313093i \(-0.101365\pi\)
0.526278 + 0.850313i \(0.323587\pi\)
\(422\) −1.85299 + 10.5088i −0.0902022 + 0.511562i
\(423\) 1.44549 + 8.19775i 0.0702819 + 0.398588i
\(424\) −1.69146 + 0.615640i −0.0821444 + 0.0298981i
\(425\) −0.701047 + 1.21425i −0.0340058 + 0.0588997i
\(426\) 1.73684 + 3.00830i 0.0841503 + 0.145753i
\(427\) −30.2382 25.3728i −1.46333 1.22788i
\(428\) −6.68816 5.61204i −0.323285 0.271268i
\(429\) −5.96858 10.3379i −0.288166 0.499118i
\(430\) 0.739321 1.28054i 0.0356532 0.0617532i
\(431\) 1.30703 0.475720i 0.0629575 0.0229146i −0.310349 0.950623i \(-0.600446\pi\)
0.373307 + 0.927708i \(0.378224\pi\)
\(432\) −0.567300 3.21732i −0.0272942 0.154793i
\(433\) 5.77441 32.7483i 0.277500 1.57378i −0.453406 0.891304i \(-0.649791\pi\)
0.730906 0.682478i \(-0.239098\pi\)
\(434\) −37.4981 13.6482i −1.79997 0.655135i
\(435\) −1.60452 + 1.34635i −0.0769307 + 0.0645525i
\(436\) 8.12981 0.389347
\(437\) 5.22866 22.6768i 0.250121 1.08478i
\(438\) 0.735663 0.0351513
\(439\) −27.6648 + 23.2135i −1.32037 + 1.10792i −0.334141 + 0.942523i \(0.608446\pi\)
−0.986227 + 0.165397i \(0.947109\pi\)
\(440\) −5.04528 1.83633i −0.240524 0.0875436i
\(441\) −7.71789 + 43.7704i −0.367519 + 2.08430i
\(442\) 0.939112 + 5.32597i 0.0446690 + 0.253330i
\(443\) −30.0586 + 10.9404i −1.42813 + 0.519795i −0.936394 0.350951i \(-0.885858\pi\)
−0.491732 + 0.870746i \(0.663636\pi\)
\(444\) 3.01445 5.22118i 0.143059 0.247786i
\(445\) −4.80426 8.32122i −0.227744 0.394463i
\(446\) 0.0761973 + 0.0639371i 0.00360805 + 0.00302751i
\(447\) −1.27459 1.06951i −0.0602860 0.0505860i
\(448\) 2.43209 + 4.21251i 0.114906 + 0.199022i
\(449\) 1.09116 1.88995i 0.0514951 0.0891922i −0.839129 0.543933i \(-0.816935\pi\)
0.890624 + 0.454741i \(0.150268\pi\)
\(450\) −2.50687 + 0.912424i −0.118175 + 0.0430121i
\(451\) 1.77917 + 10.0902i 0.0837777 + 0.475127i
\(452\) −0.778308 + 4.41400i −0.0366085 + 0.207617i
\(453\) −1.09307 0.397846i −0.0513570 0.0186924i
\(454\) 10.5915 8.88734i 0.497084 0.417103i
\(455\) 18.7621 0.879579
\(456\) −0.306897 2.49370i −0.0143718 0.116778i
\(457\) −37.2037 −1.74031 −0.870157 0.492774i \(-0.835983\pi\)
−0.870157 + 0.492774i \(0.835983\pi\)
\(458\) −11.9313 + 10.0115i −0.557512 + 0.467808i
\(459\) 4.30433 + 1.56665i 0.200909 + 0.0731248i
\(460\) 0.927092 5.25780i 0.0432259 0.245146i
\(461\) −0.847556 4.80673i −0.0394746 0.223872i 0.958688 0.284459i \(-0.0918138\pi\)
−0.998163 + 0.0605870i \(0.980703\pi\)
\(462\) 14.1458 5.14865i 0.658122 0.239537i
\(463\) 10.1113 17.5133i 0.469913 0.813914i −0.529495 0.848313i \(-0.677619\pi\)
0.999408 + 0.0343994i \(0.0109518\pi\)
\(464\) 1.81689 + 3.14694i 0.0843470 + 0.146093i
\(465\) 3.62243 + 3.03958i 0.167986 + 0.140957i
\(466\) 11.6753 + 9.79677i 0.540850 + 0.453827i
\(467\) −19.5063 33.7859i −0.902644 1.56342i −0.824049 0.566518i \(-0.808290\pi\)
−0.0785944 0.996907i \(-0.525043\pi\)
\(468\) −5.14500 + 8.91140i −0.237828 + 0.411930i
\(469\) 38.6003 14.0493i 1.78239 0.648739i
\(470\) 0.541837 + 3.07291i 0.0249931 + 0.141743i
\(471\) −1.10496 + 6.26656i −0.0509140 + 0.288748i
\(472\) −6.88331 2.50532i −0.316830 0.115317i
\(473\) −6.08158 + 5.10305i −0.279631 + 0.234639i
\(474\) 9.58686 0.440339
\(475\) −4.16808 + 1.27559i −0.191245 + 0.0585279i
\(476\) −6.82004 −0.312596
\(477\) 3.67853 3.08665i 0.168428 0.141328i
\(478\) 15.8088 + 5.75392i 0.723076 + 0.263178i
\(479\) −5.39865 + 30.6172i −0.246670 + 1.39894i 0.569911 + 0.821707i \(0.306978\pi\)
−0.816581 + 0.577231i \(0.804133\pi\)
\(480\) −0.100093 0.567654i −0.00456858 0.0259097i
\(481\) −37.9107 + 13.7984i −1.72858 + 0.629151i
\(482\) −4.55349 + 7.88688i −0.207406 + 0.359237i
\(483\) 7.48453 + 12.9636i 0.340558 + 0.589864i
\(484\) 13.6562 + 11.4589i 0.620737 + 0.520860i
\(485\) −4.65687 3.90758i −0.211458 0.177434i
\(486\) 6.66429 + 11.5429i 0.302298 + 0.523596i
\(487\) 13.9870 24.2263i 0.633813 1.09780i −0.352952 0.935641i \(-0.614822\pi\)
0.986765 0.162155i \(-0.0518445\pi\)
\(488\) 7.62565 2.77551i 0.345197 0.125641i
\(489\) −0.593418 3.36544i −0.0268353 0.152191i
\(490\) −2.89303 + 16.4072i −0.130694 + 0.741202i
\(491\) −2.79400 1.01693i −0.126091 0.0458935i 0.278204 0.960522i \(-0.410261\pi\)
−0.404295 + 0.914629i \(0.632483\pi\)
\(492\) −0.842623 + 0.707045i −0.0379884 + 0.0318760i
\(493\) −5.09490 −0.229463
\(494\) −9.15311 + 14.1032i −0.411818 + 0.634533i
\(495\) 14.3233 0.643786
\(496\) 6.28445 5.27328i 0.282180 0.236777i
\(497\) 27.5458 + 10.0258i 1.23560 + 0.449720i
\(498\) −1.44744 + 8.20883i −0.0648612 + 0.367846i
\(499\) 3.20155 + 18.1569i 0.143321 + 0.812815i 0.968700 + 0.248235i \(0.0798506\pi\)
−0.825379 + 0.564580i \(0.809038\pi\)
\(500\) −0.939693 + 0.342020i −0.0420243 + 0.0152956i
\(501\) −2.08304 + 3.60794i −0.0930636 + 0.161191i
\(502\) 8.40288 + 14.5542i 0.375039 + 0.649586i
\(503\) 2.50412 + 2.10120i 0.111653 + 0.0936881i 0.696905 0.717163i \(-0.254560\pi\)
−0.585252 + 0.810852i \(0.699004\pi\)
\(504\) −9.94053 8.34110i −0.442786 0.371542i
\(505\) −0.627838 1.08745i −0.0279384 0.0483908i
\(506\) −14.3325 + 24.8246i −0.637157 + 1.10359i
\(507\) −1.01714 + 0.370209i −0.0451728 + 0.0164416i
\(508\) −0.0241688 0.137068i −0.00107232 0.00608142i
\(509\) 6.53272 37.0489i 0.289558 1.64216i −0.398978 0.916960i \(-0.630635\pi\)
0.688536 0.725202i \(-0.258254\pi\)
\(510\) 0.759442 + 0.276414i 0.0336287 + 0.0122398i
\(511\) 4.75567 3.99048i 0.210378 0.176528i
\(512\) −1.00000 −0.0441942
\(513\) 6.46852 + 12.6864i 0.285592 + 0.560118i
\(514\) 9.89728 0.436550
\(515\) 5.64349 4.73545i 0.248682 0.208669i
\(516\) −0.800905 0.291506i −0.0352579 0.0128328i
\(517\) 2.90916 16.4987i 0.127945 0.725610i
\(518\) −8.83459 50.1034i −0.388169 2.20142i
\(519\) 2.79412 1.01698i 0.122648 0.0446403i
\(520\) −1.92859 + 3.34042i −0.0845743 + 0.146487i
\(521\) −15.7203 27.2284i −0.688719 1.19290i −0.972252 0.233934i \(-0.924840\pi\)
0.283533 0.958962i \(-0.408493\pi\)
\(522\) −7.42605 6.23119i −0.325029 0.272732i
\(523\) 3.43679 + 2.88381i 0.150280 + 0.126100i 0.714828 0.699300i \(-0.246505\pi\)
−0.564548 + 0.825400i \(0.690949\pi\)
\(524\) −6.21505 10.7648i −0.271506 0.470261i
\(525\) 1.40188 2.42814i 0.0611833 0.105973i
\(526\) −21.0609 + 7.66554i −0.918299 + 0.334233i
\(527\) 1.99738 + 11.3277i 0.0870073 + 0.493443i
\(528\) −0.537405 + 3.04777i −0.0233875 + 0.132637i
\(529\) −5.17201 1.88246i −0.224870 0.0818460i
\(530\) 1.37889 1.15702i 0.0598950 0.0502579i
\(531\) 19.5415 0.848027
\(532\) −15.5106 14.4557i −0.672469 0.626735i
\(533\) 7.36067 0.318826
\(534\) −4.24270 + 3.56005i −0.183599 + 0.154058i
\(535\) 8.20425 + 2.98610i 0.354701 + 0.129100i
\(536\) −1.46644 + 8.31660i −0.0633406 + 0.359222i
\(537\) 0.819129 + 4.64551i 0.0353480 + 0.200469i
\(538\) 7.02217 2.55586i 0.302747 0.110191i
\(539\) 44.7252 77.4664i 1.92645 3.33671i
\(540\) 1.63348 + 2.82926i 0.0702936 + 0.121752i
\(541\) 17.0269 + 14.2873i 0.732045 + 0.614259i 0.930688 0.365813i \(-0.119209\pi\)
−0.198643 + 0.980072i \(0.563653\pi\)
\(542\) 8.15902 + 6.84623i 0.350460 + 0.294071i
\(543\) 0.989225 + 1.71339i 0.0424517 + 0.0735285i
\(544\) 0.701047 1.21425i 0.0300571 0.0520605i
\(545\) −7.63952 + 2.78056i −0.327241 + 0.119106i
\(546\) −1.87794 10.6504i −0.0803686 0.455793i
\(547\) −5.00894 + 28.4071i −0.214167 + 1.21460i 0.668180 + 0.744000i \(0.267074\pi\)
−0.882347 + 0.470600i \(0.844038\pi\)
\(548\) 13.5143 + 4.91880i 0.577302 + 0.210121i
\(549\) −16.5840 + 13.9157i −0.707790 + 0.593906i
\(550\) 5.36907 0.228938
\(551\) −11.5871 10.7991i −0.493629 0.460058i
\(552\) −3.07740 −0.130983
\(553\) 61.9739 52.0023i 2.63540 2.21136i
\(554\) −2.18604 0.795654i −0.0928760 0.0338041i
\(555\) −1.04691 + 5.93730i −0.0444387 + 0.252024i
\(556\) 3.09981 + 17.5799i 0.131461 + 0.745554i
\(557\) 26.3406 9.58721i 1.11609 0.406223i 0.282865 0.959160i \(-0.408715\pi\)
0.833223 + 0.552937i \(0.186493\pi\)
\(558\) −10.9428 + 18.9535i −0.463246 + 0.802366i
\(559\) 2.85170 + 4.93929i 0.120614 + 0.208910i
\(560\) −3.72618 3.12664i −0.157460 0.132125i
\(561\) −3.32401 2.78917i −0.140340 0.117759i
\(562\) −8.53656 14.7858i −0.360093 0.623699i
\(563\) 3.28614 5.69177i 0.138494 0.239879i −0.788432 0.615121i \(-0.789107\pi\)
0.926927 + 0.375242i \(0.122440\pi\)
\(564\) 1.69011 0.615151i 0.0711666 0.0259025i
\(565\) −0.778308 4.41400i −0.0327437 0.185699i
\(566\) −1.47044 + 8.33927i −0.0618071 + 0.350526i
\(567\) 27.9742 + 10.1818i 1.17481 + 0.427595i
\(568\) −4.61650 + 3.87370i −0.193704 + 0.162537i
\(569\) 3.90032 0.163510 0.0817549 0.996652i \(-0.473948\pi\)
0.0817549 + 0.996652i \(0.473948\pi\)
\(570\) 1.14129 + 2.23835i 0.0478032 + 0.0937541i
\(571\) 18.1559 0.759802 0.379901 0.925027i \(-0.375958\pi\)
0.379901 + 0.925027i \(0.375958\pi\)
\(572\) 15.8644 13.3118i 0.663323 0.556594i
\(573\) −2.04518 0.744385i −0.0854386 0.0310971i
\(574\) −1.61186 + 9.14132i −0.0672778 + 0.381551i
\(575\) 0.927092 + 5.25780i 0.0386624 + 0.219265i
\(576\) 2.50687 0.912424i 0.104453 0.0380177i
\(577\) −7.00915 + 12.1402i −0.291795 + 0.505403i −0.974234 0.225539i \(-0.927586\pi\)
0.682439 + 0.730942i \(0.260919\pi\)
\(578\) −7.51707 13.0199i −0.312669 0.541558i
\(579\) 5.37721 + 4.51202i 0.223469 + 0.187513i
\(580\) −2.78364 2.33575i −0.115584 0.0969867i
\(581\) 35.1705 + 60.9170i 1.45912 + 2.52726i
\(582\) −1.75203 + 3.03461i −0.0726241 + 0.125789i
\(583\) −9.08155 + 3.30541i −0.376119 + 0.136896i
\(584\) 0.221624 + 1.25689i 0.00917088 + 0.0520106i
\(585\) 1.78684 10.1337i 0.0738768 0.418976i
\(586\) −2.43610 0.886667i −0.100634 0.0366279i
\(587\) −5.83061 + 4.89246i −0.240655 + 0.201933i −0.755136 0.655568i \(-0.772429\pi\)
0.514481 + 0.857502i \(0.327985\pi\)
\(588\) 9.60319 0.396029
\(589\) −19.4676 + 29.9958i −0.802148 + 1.23596i
\(590\) 7.32507 0.301568
\(591\) 3.18025 2.66855i 0.130818 0.109769i
\(592\) 9.82860 + 3.57732i 0.403953 + 0.147027i
\(593\) −1.63620 + 9.27933i −0.0671905 + 0.381056i 0.932606 + 0.360896i \(0.117529\pi\)
−0.999797 + 0.0201608i \(0.993582\pi\)
\(594\) −3.04587 17.2740i −0.124974 0.708761i
\(595\) 6.40875 2.33259i 0.262733 0.0956270i
\(596\) 1.44329 2.49986i 0.0591196 0.102398i
\(597\) −1.68228 2.91380i −0.0688512 0.119254i
\(598\) 15.7753 + 13.2370i 0.645099 + 0.541302i
\(599\) 10.7502 + 9.02053i 0.439243 + 0.368569i 0.835426 0.549603i \(-0.185221\pi\)
−0.396183 + 0.918172i \(0.629665\pi\)
\(600\) 0.288205 + 0.499186i 0.0117659 + 0.0203792i
\(601\) 6.78599 11.7537i 0.276806 0.479443i −0.693783 0.720184i \(-0.744057\pi\)
0.970589 + 0.240742i \(0.0773906\pi\)
\(602\) −6.75864 + 2.45994i −0.275462 + 0.100260i
\(603\) −3.91210 22.1866i −0.159313 0.903508i
\(604\) 0.350430 1.98739i 0.0142588 0.0808657i
\(605\) −16.7518 6.09716i −0.681058 0.247885i
\(606\) −0.554451 + 0.465240i −0.0225231 + 0.0188991i
\(607\) 2.07689 0.0842984 0.0421492 0.999111i \(-0.486580\pi\)
0.0421492 + 0.999111i \(0.486580\pi\)
\(608\) 4.16808 1.27559i 0.169038 0.0517318i
\(609\) 10.1883 0.412850
\(610\) −6.21649 + 5.21625i −0.251698 + 0.211200i
\(611\) −11.3098 4.11642i −0.457545 0.166533i
\(612\) −0.649520 + 3.68361i −0.0262553 + 0.148901i
\(613\) −2.86849 16.2680i −0.115857 0.657059i −0.986322 0.164828i \(-0.947293\pi\)
0.870465 0.492230i \(-0.163818\pi\)
\(614\) −3.87311 + 1.40970i −0.156306 + 0.0568908i
\(615\) 0.549983 0.952599i 0.0221775 0.0384125i
\(616\) 13.0581 + 22.6173i 0.526125 + 0.911275i
\(617\) 17.5283 + 14.7080i 0.705661 + 0.592120i 0.923378 0.383892i \(-0.125417\pi\)
−0.217717 + 0.976012i \(0.569861\pi\)
\(618\) −3.25297 2.72956i −0.130853 0.109799i
\(619\) 6.66514 + 11.5444i 0.267895 + 0.464007i 0.968318 0.249721i \(-0.0803388\pi\)
−0.700423 + 0.713728i \(0.747005\pi\)
\(620\) −4.10189 + 7.10468i −0.164736 + 0.285331i
\(621\) 16.3901 5.96550i 0.657711 0.239387i
\(622\) −0.431179 2.44534i −0.0172887 0.0980492i
\(623\) −8.11590 + 46.0276i −0.325157 + 1.84406i
\(624\) 2.08924 + 0.760421i 0.0836365 + 0.0304412i
\(625\) 0.766044 0.642788i 0.0306418 0.0257115i
\(626\) −5.38145 −0.215086
\(627\) −1.64775 13.3889i −0.0658048 0.534700i
\(628\) −11.0394 −0.440520
\(629\) −11.2341 + 9.42649i −0.447931 + 0.375859i
\(630\) 12.1939 + 4.43820i 0.485815 + 0.176822i
\(631\) 1.51546 8.59462i 0.0603297 0.342147i −0.939670 0.342081i \(-0.888868\pi\)
1.00000 6.52024e-5i \(-2.07546e-5\pi\)
\(632\) 2.88812 + 16.3793i 0.114883 + 0.651534i
\(633\) −5.77991 + 2.10372i −0.229731 + 0.0836152i
\(634\) 9.73266 16.8575i 0.386533 0.669495i
\(635\) 0.0695914 + 0.120536i 0.00276165 + 0.00478332i
\(636\) −0.794805 0.666921i −0.0315161 0.0264451i
\(637\) −49.2275 41.3068i −1.95046 1.63663i
\(638\) 9.75501 + 16.8962i 0.386204 + 0.668926i
\(639\) 8.03848 13.9230i 0.317997 0.550787i
\(640\) 0.939693 0.342020i 0.0371446 0.0135195i
\(641\) −0.151753 0.860632i −0.00599387 0.0339929i 0.981664 0.190619i \(-0.0610494\pi\)
−0.987658 + 0.156626i \(0.949938\pi\)
\(642\) 0.873887 4.95606i 0.0344896 0.195600i
\(643\) 17.8620 + 6.50122i 0.704407 + 0.256383i 0.669291 0.743000i \(-0.266598\pi\)
0.0351158 + 0.999383i \(0.488820\pi\)
\(644\) −19.8938 + 16.6928i −0.783924 + 0.657790i
\(645\) 0.852306 0.0335595
\(646\) −1.37314 + 5.95533i −0.0540255 + 0.234309i
\(647\) 14.4175 0.566810 0.283405 0.959000i \(-0.408536\pi\)
0.283405 + 0.959000i \(0.408536\pi\)
\(648\) −4.68830 + 3.93395i −0.184174 + 0.154540i
\(649\) −36.9570 13.4512i −1.45069 0.528007i
\(650\) 0.669793 3.79858i 0.0262714 0.148993i
\(651\) −3.99417 22.6520i −0.156544 0.887804i
\(652\) 5.57114 2.02773i 0.218183 0.0794121i
\(653\) −5.23384 + 9.06528i −0.204816 + 0.354752i −0.950074 0.312024i \(-0.898993\pi\)
0.745258 + 0.666776i \(0.232326\pi\)
\(654\) 2.34306 + 4.05829i 0.0916207 + 0.158692i
\(655\) 9.52200 + 7.98991i 0.372055 + 0.312192i
\(656\) −1.46184 1.22663i −0.0570755 0.0478920i
\(657\) −1.70240 2.94865i −0.0664171 0.115038i
\(658\) 7.58889 13.1444i 0.295846 0.512420i
\(659\) −5.20991 + 1.89625i −0.202949 + 0.0738675i −0.441495 0.897264i \(-0.645552\pi\)
0.238545 + 0.971131i \(0.423329\pi\)
\(660\) −0.537405 3.04777i −0.0209184 0.118634i
\(661\) 5.00125 28.3635i 0.194526 1.10321i −0.718566 0.695459i \(-0.755201\pi\)
0.913092 0.407753i \(-0.133688\pi\)
\(662\) −17.5818 6.39927i −0.683338 0.248715i
\(663\) −2.38799 + 2.00376i −0.0927420 + 0.0778198i
\(664\) −14.4610 −0.561195
\(665\) 19.5193 + 8.27901i 0.756927 + 0.321046i
\(666\) −27.9030 −1.08122
\(667\) −14.8616 + 12.4703i −0.575443 + 0.482854i
\(668\) −6.79176 2.47200i −0.262781 0.0956445i
\(669\) −0.00995606 + 0.0564636i −0.000384924 + 0.00218301i
\(670\) −1.46644 8.31660i −0.0566535 0.321298i
\(671\) 40.9427 14.9019i 1.58057 0.575282i
\(672\) −1.40188 + 2.42814i −0.0540789 + 0.0936674i
\(673\) −19.9705 34.5899i −0.769807 1.33334i −0.937668 0.347533i \(-0.887019\pi\)
0.167861 0.985811i \(-0.446314\pi\)
\(674\) 19.2255 + 16.1322i 0.740540 + 0.621387i
\(675\) −2.50263 2.09996i −0.0963263 0.0808274i
\(676\) −0.938930 1.62627i −0.0361127 0.0625490i
\(677\) −7.29022 + 12.6270i −0.280186 + 0.485296i −0.971430 0.237325i \(-0.923729\pi\)
0.691245 + 0.722621i \(0.257063\pi\)
\(678\) −2.42772 + 0.883619i −0.0932361 + 0.0339352i
\(679\) 5.13477 + 29.1207i 0.197054 + 1.11755i
\(680\) −0.243471 + 1.38079i −0.00933668 + 0.0529510i
\(681\) 7.48897 + 2.72576i 0.286978 + 0.104451i
\(682\) 33.7417 28.3126i 1.29204 1.08415i
\(683\) −26.6159 −1.01843 −0.509214 0.860640i \(-0.670064\pi\)
−0.509214 + 0.860640i \(0.670064\pi\)
\(684\) −9.28494 + 7.00078i −0.355018 + 0.267681i
\(685\) −14.3816 −0.549493
\(686\) 35.9961 30.2043i 1.37434 1.15321i
\(687\) −8.43628 3.07056i −0.321864 0.117149i
\(688\) 0.256764 1.45618i 0.00978902 0.0555163i
\(689\) 1.20563 + 6.83749i 0.0459310 + 0.260488i
\(690\) 2.89181 1.05253i 0.110089 0.0400693i
\(691\) −18.6248 + 32.2591i −0.708521 + 1.22719i 0.256885 + 0.966442i \(0.417304\pi\)
−0.965406 + 0.260752i \(0.916029\pi\)
\(692\) 2.57927 + 4.46743i 0.0980492 + 0.169826i
\(693\) −53.3714 44.7839i −2.02741 1.70120i
\(694\) −17.4302 14.6257i −0.661642 0.555183i
\(695\) −8.92555 15.4595i −0.338566 0.586413i
\(696\) −1.04727 + 1.81393i −0.0396968 + 0.0687569i
\(697\) 2.51426 0.915115i 0.0952344 0.0346625i
\(698\) −2.28587 12.9638i −0.0865215 0.490688i
\(699\) −1.52552 + 8.65165i −0.0577004 + 0.327235i
\(700\) 4.57084 + 1.66365i 0.172762 + 0.0628801i
\(701\) −30.3425 + 25.4604i −1.14602 + 0.961626i −0.999619 0.0275989i \(-0.991214\pi\)
−0.146402 + 0.989225i \(0.546769\pi\)
\(702\) −12.6012 −0.475603
\(703\) −45.5295 2.37332i −1.71718 0.0895114i
\(704\) −5.36907 −0.202354
\(705\) −1.37779 + 1.15611i −0.0518907 + 0.0435415i
\(706\) −11.5635 4.20877i −0.435198 0.158399i
\(707\) −1.06062 + 6.01505i −0.0398886 + 0.226219i
\(708\) −0.733185 4.15810i −0.0275548 0.156271i
\(709\) 34.4453 12.5371i 1.29362 0.470839i 0.398707 0.917079i \(-0.369459\pi\)
0.894914 + 0.446239i \(0.147237\pi\)
\(710\) 3.01320 5.21902i 0.113084 0.195866i
\(711\) −22.1850 38.4256i −0.832003 1.44107i
\(712\) −7.36055 6.17623i −0.275848 0.231464i
\(713\) 33.5521 + 28.1536i 1.25654 + 1.05436i
\(714\) −1.96557 3.40447i −0.0735597 0.127409i
\(715\) −10.3547 + 17.9349i −0.387245 + 0.670729i
\(716\) −7.69017 + 2.79899i −0.287395 + 0.104603i
\(717\) 1.68389 + 9.54983i 0.0628861 + 0.356645i
\(718\) −2.18123 + 12.3704i −0.0814028 + 0.461658i
\(719\) −10.3333 3.76101i −0.385367 0.140262i 0.142069 0.989857i \(-0.454624\pi\)
−0.527436 + 0.849595i \(0.676847\pi\)
\(720\) −2.04362 + 1.71480i −0.0761611 + 0.0639067i
\(721\) −35.8347 −1.33455
\(722\) −15.7458 + 10.6335i −0.585997 + 0.395737i
\(723\) −5.24936 −0.195226
\(724\) −2.62934 + 2.20628i −0.0977187 + 0.0819957i
\(725\) 3.41464 + 1.24283i 0.126816 + 0.0461574i
\(726\) −1.78434 + 10.1195i −0.0662232 + 0.375570i
\(727\) 7.88597 + 44.7236i 0.292475 + 1.65871i 0.677293 + 0.735714i \(0.263153\pi\)
−0.384818 + 0.922992i \(0.625736\pi\)
\(728\) 17.6306 6.41700i 0.653432 0.237830i
\(729\) 5.33885 9.24717i 0.197735 0.342488i
\(730\) −0.638142 1.10529i −0.0236187 0.0409088i
\(731\) 1.58816 + 1.33262i 0.0587402 + 0.0492889i
\(732\) 3.58325 + 3.00670i 0.132441 + 0.111131i
\(733\) 13.5168 + 23.4118i 0.499255 + 0.864735i 1.00000 0.000859816i \(-0.000273688\pi\)
−0.500744 + 0.865595i \(0.666940\pi\)
\(734\) 1.34225 2.32485i 0.0495435 0.0858119i
\(735\) −9.02404 + 3.28448i −0.332857 + 0.121150i
\(736\) −0.927092 5.25780i −0.0341731 0.193805i
\(737\) −7.87342 + 44.6524i −0.290021 + 1.64479i
\(738\) 4.78386 + 1.74118i 0.176096 + 0.0640938i
\(739\) −0.964167 + 0.809032i −0.0354675 + 0.0297607i −0.660349 0.750959i \(-0.729592\pi\)
0.624882 + 0.780720i \(0.285147\pi\)
\(740\) −10.4594 −0.384494
\(741\) −9.67809 0.504490i −0.355534 0.0185329i
\(742\) −8.75559 −0.321428
\(743\) 40.0045 33.5678i 1.46762 1.23148i 0.549315 0.835615i \(-0.314889\pi\)
0.918308 0.395867i \(-0.129556\pi\)
\(744\) 4.44356 + 1.61733i 0.162909 + 0.0592940i
\(745\) −0.501251 + 2.84273i −0.0183644 + 0.104150i
\(746\) 3.21985 + 18.2607i 0.117887 + 0.668571i
\(747\) 36.2517 13.1945i 1.32638 0.482763i
\(748\) 3.76397 6.51938i 0.137624 0.238372i
\(749\) −21.2341 36.7785i −0.775876 1.34386i
\(750\) −0.441556 0.370510i −0.0161234 0.0135291i
\(751\) 0.810409 + 0.680014i 0.0295723 + 0.0248141i 0.657454 0.753495i \(-0.271633\pi\)
−0.627882 + 0.778309i \(0.716078\pi\)
\(752\) 1.56016 + 2.70227i 0.0568931 + 0.0985417i
\(753\) −4.84351 + 8.38920i −0.176507 + 0.305720i
\(754\) 13.1709 4.79381i 0.479655 0.174580i
\(755\) 0.350430 + 1.98739i 0.0127535 + 0.0723285i
\(756\) 2.75945 15.6496i 0.100360 0.569172i
\(757\) −1.73900 0.632944i −0.0632050 0.0230047i 0.310224 0.950663i \(-0.399596\pi\)
−0.373429 + 0.927659i \(0.621818\pi\)
\(758\) −8.87503 + 7.44703i −0.322355 + 0.270488i
\(759\) −16.5228 −0.599739
\(760\) −3.48044 + 2.62423i −0.126249 + 0.0951907i
\(761\) −31.8442 −1.15435 −0.577176 0.816620i \(-0.695845\pi\)
−0.577176 + 0.816620i \(0.695845\pi\)
\(762\) 0.0614570 0.0515686i 0.00222635 0.00186813i
\(763\) 37.1601 + 13.5252i 1.34529 + 0.489644i
\(764\) 0.655668 3.71848i 0.0237212 0.134530i
\(765\) −0.649520 3.68361i −0.0234834 0.133181i
\(766\) 27.3254 9.94564i 0.987308 0.359351i
\(767\) −14.1271 + 24.4688i −0.510099 + 0.883517i
\(768\) −0.288205 0.499186i −0.0103997 0.0180128i
\(769\) 0.0929228 + 0.0779715i 0.00335088 + 0.00281172i 0.644462 0.764637i \(-0.277082\pi\)
−0.641111 + 0.767448i \(0.721526\pi\)
\(770\) −20.0061 16.7871i −0.720971 0.604967i
\(771\) 2.85245 + 4.94059i 0.102728 + 0.177931i
\(772\) −6.08894 + 10.5463i −0.219146 + 0.379571i