Properties

Label 190.2.k.d.111.2
Level $190$
Weight $2$
Character 190.111
Analytic conductor $1.517$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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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 111.2
Root \(-0.288205 + 0.499186i\) of defining polynomial
Character \(\chi\) \(=\) 190.111
Dual form 190.2.k.d.101.2

$q$-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 \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\) \(1\)

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 −0.493613 0.869682i \(-0.664324\pi\)
0.180892 + 0.983503i \(0.442102\pi\)
\(4\) 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 0.800564 + 0.599247i \(0.204533\pi\)
0.118681 + 0.992932i \(0.462134\pi\)
\(8\) 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 −0.103850 0.994593i \(-0.533116\pi\)
0.913268 0.407360i \(-0.133550\pi\)
\(12\) −0.288205 0.499186i −0.0831977 0.144103i
\(13\) 3.62457 + 1.31923i 1.00527 + 0.365890i 0.791616 0.611019i \(-0.209240\pi\)
0.213658 + 0.976909i \(0.431462\pi\)
\(14\) 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 0.763678 0.645598i \(-0.223392\pi\)
−0.503178 + 0.864183i \(0.667836\pi\)
\(18\) 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 0.914802 + 0.403902i \(0.132346\pi\)
−0.721490 + 0.692425i \(0.756543\pi\)
\(24\) −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 −0.863552 0.504259i \(-0.831766\pi\)
0.346644 + 0.937997i \(0.387321\pi\)
\(30\) 0.288205 0.499186i 0.0526189 0.0911385i
\(31\) −4.10189 7.10468i −0.736721 1.27604i −0.953964 0.299920i \(-0.903040\pi\)
0.217244 0.976117i \(-0.430293\pi\)
\(32\) 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 −0.198175 0.980167i \(-0.563501\pi\)
0.478228 + 0.878236i \(0.341279\pi\)
\(42\) 0.486869 + 2.76117i 0.0751256 + 0.426058i
\(43\) 0.256764 1.45618i 0.0391561 0.222065i −0.958950 0.283574i \(-0.908480\pi\)
0.998107 + 0.0615084i \(0.0195911\pi\)
\(44\) 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 −0.800252 0.599664i \(-0.795301\pi\)
0.451591 + 0.892225i \(0.350857\pi\)
\(48\) 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 0.955786 0.294063i \(-0.0950076\pi\)
−0.998721 + 0.0505691i \(0.983896\pi\)
\(54\) −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 0.199744 0.979848i \(-0.435989\pi\)
−0.930277 + 0.366859i \(0.880433\pi\)
\(60\) −0.541649 + 0.197144i −0.0699266 + 0.0254512i
\(61\) 1.40916 + 7.99176i 0.180425 + 1.02324i 0.931694 + 0.363244i \(0.118331\pi\)
−0.751269 + 0.659996i \(0.770558\pi\)
\(62\) −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 −0.155494 0.987837i \(-0.549697\pi\)
0.945828 + 0.324668i \(0.105253\pi\)
\(68\) −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 −0.857590 0.514334i \(-0.828039\pi\)
0.981783 0.190003i \(-0.0608498\pi\)
\(72\) 0.463250 + 2.62722i 0.0545945 + 0.309621i
\(73\) 1.19931 0.436515i 0.140369 0.0510902i −0.270880 0.962613i \(-0.587315\pi\)
0.411249 + 0.911523i \(0.365093\pi\)
\(74\) 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 0.758465 0.651714i \(-0.225950\pi\)
0.999931 + 0.0117101i \(0.00372754\pi\)
\(80\) 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 −0.923693 0.383133i \(-0.874845\pi\)
0.130044 0.991508i \(-0.458488\pi\)
\(84\) 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 −0.184190 0.982891i \(-0.558966\pi\)
−0.772887 + 0.634543i \(0.781188\pi\)
\(90\) 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 0.374993 0.927028i \(-0.377645\pi\)
−0.847827 + 0.530273i \(0.822089\pi\)
\(98\) 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 0.282647 0.959224i \(-0.408787\pi\)
−0.400057 + 0.916490i \(0.631010\pi\)
\(102\) 0.404091 + 0.699906i 0.0400109 + 0.0693010i
\(103\) −3.68352 + 6.38005i −0.362948 + 0.628645i −0.988445 0.151582i \(-0.951563\pi\)
0.625496 + 0.780227i \(0.284897\pi\)
\(104\) 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 0.996137 0.0878153i \(-0.0279885\pi\)
−0.574119 + 0.818772i \(0.694655\pi\)
\(108\) 3.06993 + 1.11736i 0.295404 + 0.107518i
\(109\) 1.41173 8.00630i 0.135219 0.766865i −0.839488 0.543378i \(-0.817145\pi\)
0.974707 0.223487i \(-0.0717439\pi\)
\(110\) 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 0.347816 0.937563i \(-0.386923\pi\)
−0.336211 + 0.941787i \(0.609145\pi\)
\(128\) −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 0.955736 0.294226i \(-0.0950620\pi\)
−0.123795 + 0.992308i \(0.539506\pi\)
\(132\) −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 −0.883726 0.468004i \(-0.844973\pi\)
0.670364 0.742032i \(-0.266138\pi\)
\(138\) −0.534386 + 3.03065i −0.0454899 + 0.257986i
\(139\) −16.7746 6.10544i −1.42280 0.517857i −0.487941 0.872877i \(-0.662252\pi\)
−0.934859 + 0.355020i \(0.884474\pi\)
\(140\) 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 −0.228512 0.973541i \(-0.573386\pi\)
0.450729 + 0.892661i \(0.351164\pi\)
\(150\) −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 0.807609 + 0.589719i \(0.200761\pi\)
−0.960600 + 0.277936i \(0.910350\pi\)
\(158\) −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 −0.726266 0.687414i \(-0.758746\pi\)
0.958451 + 0.285257i \(0.0920791\pi\)
\(164\) 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 0.994077 + 0.108677i \(0.0346615\pi\)
−0.896957 + 0.442118i \(0.854227\pi\)
\(168\) −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 0.480087 0.877221i \(-0.340605\pi\)
−0.780528 + 0.625121i \(0.785049\pi\)
\(174\) −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 −0.977448 0.211177i \(-0.932270\pi\)
0.671608 + 0.740906i \(0.265604\pi\)
\(180\) −2.04362 + 1.71480i −0.152322 + 0.127813i
\(181\) −2.62934 + 2.20628i −0.195437 + 0.163991i −0.735255 0.677791i \(-0.762938\pi\)
0.539818 + 0.841782i \(0.318493\pi\)
\(182\) 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 −0.719278 0.694722i \(-0.755527\pi\)
−0.104440 + 0.994531i \(0.533305\pi\)
\(194\) 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 0.708748 0.705462i \(-0.249260\pi\)
−0.965322 + 0.261063i \(0.915927\pi\)
\(198\) 7.16167 12.4044i 0.508958 0.881541i
\(199\) 4.47147 3.75201i 0.316974 0.265973i −0.470393 0.882457i \(-0.655888\pi\)
0.787367 + 0.616484i \(0.211443\pi\)
\(200\) −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 0.879231 0.476395i \(-0.158057\pi\)
−0.316481 + 0.948599i \(0.602501\pi\)
\(212\) 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 −0.985381 0.170367i \(-0.945505\pi\)
0.984224 + 0.176927i \(0.0566157\pi\)
\(224\) 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 0.766610 + 0.642113i \(0.221942\pi\)
−0.939993 + 0.341193i \(0.889169\pi\)
\(234\) 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 0.454557 + 0.890718i \(0.349798\pi\)
−0.998663 + 0.0517011i \(0.983536\pi\)
\(240\) −0.288205 0.499186i −0.0186036 0.0322223i
\(241\) 8.55776 + 3.11477i 0.551254 + 0.200640i 0.602604 0.798041i \(-0.294130\pi\)
−0.0513496 + 0.998681i \(0.516352\pi\)
\(242\) −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 0.926978 + 0.375116i \(0.122397\pi\)
−0.742777 + 0.669539i \(0.766492\pi\)
\(252\) 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 −0.847865 0.530213i \(-0.822112\pi\)
0.374927 + 0.927054i \(0.377668\pi\)
\(258\) 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 0.402107 0.915593i \(-0.368278\pi\)
0.896564 + 0.442915i \(0.146056\pi\)
\(264\) 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 −0.547101 0.837066i \(-0.684269\pi\)
0.118952 + 0.992900i \(0.462047\pi\)
\(270\) 0.567300 + 3.21732i 0.0345248 + 0.195800i
\(271\) −1.84950 + 10.4890i −0.112349 + 0.637163i 0.875680 + 0.482893i \(0.160414\pi\)
−0.988029 + 0.154271i \(0.950697\pi\)
\(272\) −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 −0.828964 0.559302i \(-0.811069\pi\)
0.898852 + 0.438253i \(0.144402\pi\)
\(278\) 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 −0.935975 0.352067i \(-0.885479\pi\)
0.759115 0.650957i \(-0.225632\pi\)
\(282\) −1.69011 + 0.615151i −0.100645 + 0.0366317i
\(283\) 6.48680 + 5.44307i 0.385600 + 0.323557i 0.814896 0.579607i \(-0.196794\pi\)
−0.429296 + 0.903164i \(0.641238\pi\)
\(284\) 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 −0.825676 0.564145i \(-0.809206\pi\)
0.901402 + 0.432984i \(0.142539\pi\)
\(294\) −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 −0.229121 0.973398i \(-0.573585\pi\)
0.450171 + 0.892942i \(0.351363\pi\)
\(308\) 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 0.828676 0.559728i \(-0.189094\pi\)
−0.899077 + 0.437791i \(0.855761\pi\)
\(312\) −1.11166 + 1.92545i −0.0629354 + 0.109007i
\(313\) 4.12243 3.45913i 0.233014 0.195522i −0.518803 0.854894i \(-0.673622\pi\)
0.751817 + 0.659372i \(0.229178\pi\)
\(314\) 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 −0.227278 0.973830i \(-0.572983\pi\)
−0.800071 + 0.599906i \(0.795205\pi\)
\(318\) 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 −0.485661 0.874147i \(-0.661421\pi\)
0.999864 0.0164787i \(-0.00524557\pi\)
\(332\) 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 0.600101 + 0.799924i \(0.295127\pi\)
−0.837501 + 0.546436i \(0.815984\pi\)
\(338\) −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 −0.673751 0.738958i \(-0.735318\pi\)
0.885857 0.463957i \(-0.153571\pi\)
\(348\) 1.96823 + 0.716378i 0.105508 + 0.0384019i
\(349\) −6.58190 11.4002i −0.352321 0.610238i 0.634335 0.773059i \(-0.281274\pi\)
−0.986656 + 0.162820i \(0.947941\pi\)
\(350\) −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 −0.654530 0.756036i \(-0.727134\pi\)
0.982011 + 0.188822i \(0.0604670\pi\)
\(354\) −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 0.860373 0.509665i \(-0.170231\pi\)
−0.352520 + 0.935804i \(0.614675\pi\)
\(360\) 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 0.275340 0.961347i \(-0.411210\pi\)
−0.407019 + 0.913420i \(0.633432\pi\)
\(368\) −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 0.999738 0.0228917i \(-0.00728729\pi\)
−0.519694 + 0.854353i \(0.673954\pi\)
\(374\) −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 −0.927067 0.374895i \(-0.877679\pi\)
−0.469197 + 0.883094i \(0.655457\pi\)
\(384\) −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 0.156882 0.987617i \(-0.449856\pi\)
0.999856 + 0.0169993i \(0.00541131\pi\)
\(390\) 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 0.755311 0.655367i \(-0.227486\pi\)
−0.514252 + 0.857639i \(0.671930\pi\)
\(398\) −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 0.812219 0.583353i \(-0.198259\pi\)
−0.433450 + 0.901178i \(0.642704\pi\)
\(402\) 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 −0.999923 0.0124433i \(-0.996039\pi\)
−0.161380 + 0.986892i \(0.551595\pi\)
\(410\) −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 0.526278 0.850313i \(-0.323587\pi\)
0.949723 + 0.313093i \(0.101365\pi\)
\(422\) −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 0.373307 0.927708i \(-0.378224\pi\)
−0.310349 + 0.950623i \(0.600446\pi\)
\(432\) −0.567300 + 3.21732i −0.0272942 + 0.154793i
\(433\) 5.77441 + 32.7483i 0.277500 + 1.57378i 0.730906 + 0.682478i \(0.239098\pi\)
−0.453406 + 0.891304i \(0.649791\pi\)
\(434\) −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 −0.986227 0.165397i \(-0.947109\pi\)
−0.334141 0.942523i \(-0.608446\pi\)
\(440\) −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 −0.491732 0.870746i \(-0.663636\pi\)
−0.936394 + 0.350951i \(0.885858\pi\)
\(444\) 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 0.890624 0.454741i \(-0.150268\pi\)
−0.839129 + 0.543933i \(0.816935\pi\)
\(450\) −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 −0.998163 0.0605870i \(-0.980703\pi\)
0.958688 + 0.284459i \(0.0918138\pi\)
\(462\) 14.1458 + 5.14865i 0.658122 + 0.239537i
\(463\) 10.1113 + 17.5133i 0.469913 + 0.813914i 0.999408 0.0343994i \(-0.0109518\pi\)
−0.529495 + 0.848313i \(0.677619\pi\)
\(464\) 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 −0.0785944 + 0.996907i \(0.525043\pi\)
−0.824049 + 0.566518i \(0.808290\pi\)
\(468\) −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 −0.816581 0.577231i \(-0.804133\pi\)
0.569911 0.821707i \(-0.306978\pi\)
\(480\) −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 0.986765 + 0.162155i \(0.0518445\pi\)
−0.352952 + 0.935641i \(0.614822\pi\)
\(488\) 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 −0.404295 0.914629i \(-0.632483\pi\)
0.278204 + 0.960522i \(0.410261\pi\)
\(492\) −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 −0.825379 0.564580i \(-0.809038\pi\)
0.968700 0.248235i \(-0.0798506\pi\)
\(500\) −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 −0.585252 0.810852i \(-0.699004\pi\)
0.696905 + 0.717163i \(0.254560\pi\)
\(504\) −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 0.688536 + 0.725202i \(0.258254\pi\)
−0.398978 + 0.916960i \(0.630635\pi\)
\(510\) 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 0.283533 + 0.958962i \(0.408493\pi\)
−0.972252 + 0.233934i \(0.924840\pi\)
\(522\) −7.42605 + 6.23119i −0.325029 + 0.272732i
\(523\) 3.43679 2.88381i 0.150280 0.126100i −0.564548 0.825400i \(-0.690949\pi\)
0.714828 + 0.699300i \(0.246505\pi\)
\(524\) −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 −0.198643 0.980072i \(-0.563653\pi\)
0.930688 + 0.365813i \(0.119209\pi\)
\(542\) 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 −0.882347 0.470600i \(-0.844038\pi\)
0.668180 0.744000i \(-0.267074\pi\)
\(548\) 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 0.833223 0.552937i \(-0.186493\pi\)
0.282865 + 0.959160i \(0.408715\pi\)
\(558\) −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 0.926927 0.375242i \(-0.122440\pi\)
−0.788432 + 0.615121i \(0.789107\pi\)
\(564\) 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 0.682439 0.730942i \(-0.260919\pi\)
−0.974234 + 0.225539i \(0.927586\pi\)
\(578\) −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 0.514481 0.857502i \(-0.327985\pi\)
−0.755136 + 0.655568i \(0.772429\pi\)
\(588\) 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 −0.999797 0.0201608i \(-0.993582\pi\)
0.932606 0.360896i \(-0.117529\pi\)
\(594\) −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 −0.396183 0.918172i \(-0.629665\pi\)
0.835426 + 0.549603i \(0.185221\pi\)
\(600\) 0.288205 0.499186i 0.0117659 0.0203792i
\(601\) 6.78599 + 11.7537i 0.276806 + 0.479443i 0.970589 0.240742i \(-0.0773906\pi\)
−0.693783 + 0.720184i \(0.744057\pi\)
\(602\) −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 0.870465 + 0.492230i \(0.163818\pi\)
−0.986322 + 0.164828i \(0.947293\pi\)
\(614\) −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 −0.217717 0.976012i \(-0.569861\pi\)
0.923378 + 0.383892i \(0.125417\pi\)
\(618\) −3.25297 + 2.72956i −0.130853 + 0.109799i
\(619\) 6.66514 11.5444i 0.267895 0.464007i −0.700423 0.713728i \(-0.747005\pi\)
0.968318 + 0.249721i \(0.0803388\pi\)
\(620\) −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 1.00000 6.52024e-5i \(2.07546e-5\pi\)
−0.939670 + 0.342081i \(0.888868\pi\)
\(632\) 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 −0.987658 0.156626i \(-0.949938\pi\)
0.981664 + 0.190619i \(0.0610494\pi\)
\(642\) 0.873887 + 4.95606i 0.0344896 + 0.195600i
\(643\) 17.8620 6.50122i 0.704407 0.256383i 0.0351158 0.999383i \(-0.488820\pi\)
0.669291 + 0.743000i \(0.266598\pi\)
\(644\) −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 0.745258 0.666776i \(-0.232326\pi\)
−0.950074 + 0.312024i \(0.898993\pi\)
\(654\) 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 0.238545 0.971131i \(-0.423329\pi\)
−0.441495 + 0.897264i \(0.645552\pi\)
\(660\) −0.537405 + 3.04777i −0.0209184 + 0.118634i
\(661\) 5.00125 + 28.3635i 0.194526 + 1.10321i 0.913092 + 0.407753i \(0.133688\pi\)
−0.718566 + 0.695459i \(0.755201\pi\)
\(662\) −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 0.167861 + 0.985811i \(0.446314\pi\)
−0.937668 + 0.347533i \(0.887019\pi\)
\(674\) 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 0.691245 0.722621i \(-0.257063\pi\)
−0.971430 + 0.237325i \(0.923729\pi\)
\(678\) −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 −0.965406 0.260752i \(-0.916029\pi\)
0.256885 0.966442i \(-0.417304\pi\)
\(692\) 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 −0.146402 0.989225i \(-0.546769\pi\)
−0.999619 + 0.0275989i \(0.991214\pi\)
\(702\) −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 0.894914 0.446239i \(-0.147237\pi\)
0.398707 + 0.917079i \(0.369459\pi\)
\(710\) 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 −0.527436 0.849595i \(-0.676847\pi\)
0.142069 + 0.989857i \(0.454624\pi\)
\(720\) −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 −0.384818 0.922992i \(-0.625736\pi\)
0.677293 0.735714i \(-0.263153\pi\)
\(728\) 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 −0.500744 0.865595i \(-0.666940\pi\)
1.00000 0.000859816i \(0.000273688\pi\)
\(734\) 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 0.624882 0.780720i \(-0.285147\pi\)
−0.660349 + 0.750959i \(0.729592\pi\)
\(740\) −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 0.918308 + 0.395867i \(0.129556\pi\)
0.549315 + 0.835615i \(0.314889\pi\)
\(744\) 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 −0.627882 0.778309i \(-0.716078\pi\)
0.657454 + 0.753495i \(0.271633\pi\)
\(752\) 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 −0.373429 0.927659i \(-0.621818\pi\)
0.310224 + 0.950663i \(0.399596\pi\)
\(758\) −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 −0.641111 0.767448i \(-0.721526\pi\)
0.644462 + 0.764637i \(0.277082\pi\)
\(770\) −20.0061 + 16.7871i −0.720971 + 0.604967i
\(771\) 2.85245 4.94059i 0.102728 0.177931i
\(772\) −6.08894 10.5463i −0.219146