Properties

Label 138.2.f.a.17.3
Level $138$
Weight $2$
Character 138.17
Analytic conductor $1.102$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 17.3
Character \(\chi\) \(=\) 138.17
Dual form 138.2.f.a.65.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.909632 - 0.415415i) q^{2} +(0.322552 - 1.70175i) q^{3} +(0.654861 + 0.755750i) q^{4} +(1.12015 - 0.719874i) q^{5} +(-1.00034 + 1.41398i) q^{6} +(1.49094 + 0.214365i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-2.79192 - 1.09781i) q^{9} +O(q^{10})\) \(q+(-0.909632 - 0.415415i) q^{2} +(0.322552 - 1.70175i) q^{3} +(0.654861 + 0.755750i) q^{4} +(1.12015 - 0.719874i) q^{5} +(-1.00034 + 1.41398i) q^{6} +(1.49094 + 0.214365i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-2.79192 - 1.09781i) q^{9} +(-1.31797 + 0.189495i) q^{10} +(-1.00968 - 2.21088i) q^{11} +(1.49733 - 0.870642i) q^{12} +(-0.172574 - 1.20028i) q^{13} +(-1.26715 - 0.814351i) q^{14} +(-0.863741 - 2.13841i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-2.63441 + 3.04027i) q^{17} +(2.08357 + 2.15841i) q^{18} +(4.36347 - 3.78096i) q^{19} +(1.27758 + 0.375132i) q^{20} +(0.845700 - 2.46806i) q^{21} +2.43052i q^{22} +(2.02041 + 4.34948i) q^{23} +(-1.72369 + 0.169952i) q^{24} +(-1.34057 + 2.93543i) q^{25} +(-0.341634 + 1.16350i) q^{26} +(-2.76874 + 4.39706i) q^{27} +(0.814351 + 1.26715i) q^{28} +(1.94196 + 1.68271i) q^{29} +(-0.102640 + 2.30397i) q^{30} +(5.49153 - 1.61246i) q^{31} +(0.540641 - 0.841254i) q^{32} +(-4.08805 + 1.00509i) q^{33} +(3.65932 - 1.67116i) q^{34} +(1.82438 - 0.833168i) q^{35} +(-0.998651 - 2.82890i) q^{36} +(-4.96610 + 7.72740i) q^{37} +(-5.53982 + 1.62664i) q^{38} +(-2.09824 - 0.0934742i) q^{39} +(-1.00630 - 0.871960i) q^{40} +(6.32320 + 9.83909i) q^{41} +(-1.79455 + 1.89371i) q^{42} +(-0.667960 + 2.27486i) q^{43} +(1.00968 - 2.21088i) q^{44} +(-3.91764 + 0.780126i) q^{45} +(-0.0309926 - 4.79573i) q^{46} -3.88490i q^{47} +(1.63853 + 0.561454i) q^{48} +(-4.53951 - 1.33292i) q^{49} +(2.43885 - 2.11327i) q^{50} +(4.32406 + 5.46376i) q^{51} +(0.794097 - 0.916437i) q^{52} +(1.06952 - 7.43870i) q^{53} +(4.34513 - 2.84953i) q^{54} +(-2.72254 - 1.74967i) q^{55} +(-0.214365 - 1.49094i) q^{56} +(-5.02682 - 8.64509i) q^{57} +(-1.06744 - 2.33737i) q^{58} +(1.80201 - 0.259090i) q^{59} +(1.05047 - 2.05313i) q^{60} +(-0.525376 - 1.78927i) q^{61} +(-5.66511 - 0.814520i) q^{62} +(-3.92725 - 2.23525i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(-1.05736 - 1.22025i) q^{65} +(4.13615 + 0.783971i) q^{66} +(8.93253 + 4.07935i) q^{67} -4.02286 q^{68} +(8.05342 - 2.03531i) q^{69} -2.00563 q^{70} +(2.72650 + 1.24515i) q^{71} +(-0.266764 + 2.98812i) q^{72} +(-8.71102 - 10.0531i) q^{73} +(7.72740 - 4.96610i) q^{74} +(4.56298 + 3.22814i) q^{75} +(5.71492 + 0.821682i) q^{76} +(-1.03143 - 3.51273i) q^{77} +(1.86979 + 0.956667i) q^{78} +(-7.42390 + 1.06740i) q^{79} +(0.553133 + 1.21119i) q^{80} +(6.58964 + 6.12998i) q^{81} +(-1.66448 - 11.5767i) q^{82} +(-6.10459 - 3.92318i) q^{83} +(2.41905 - 0.977100i) q^{84} +(-0.762312 + 5.30199i) q^{85} +(1.55261 - 1.79181i) q^{86} +(3.48994 - 2.76196i) q^{87} +(-1.83687 + 1.59165i) q^{88} +(-7.87435 - 2.31212i) q^{89} +(3.88769 + 0.917819i) q^{90} -1.82653i q^{91} +(-1.96403 + 4.37523i) q^{92} +(-0.972700 - 9.86533i) q^{93} +(-1.61385 + 3.53383i) q^{94} +(2.16590 - 7.37638i) q^{95} +(-1.25722 - 1.19138i) q^{96} +(9.14934 + 14.2367i) q^{97} +(3.57557 + 3.09825i) q^{98} +(0.391811 + 7.28103i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6} - 4 q^{12} + 8 q^{13} - 22 q^{15} - 8 q^{16} - 28 q^{18} - 66 q^{21} - 4 q^{24} - 48 q^{25} - 38 q^{27} - 44 q^{30} - 16 q^{31} - 22 q^{33} - 44 q^{37} - 24 q^{39} - 44 q^{43} - 16 q^{46} + 4 q^{48} - 76 q^{49} - 8 q^{52} - 6 q^{54} + 64 q^{55} + 66 q^{57} + 36 q^{58} + 22 q^{60} + 88 q^{61} + 110 q^{63} + 8 q^{64} + 88 q^{66} + 44 q^{67} + 82 q^{69} + 112 q^{70} + 28 q^{72} + 52 q^{73} + 136 q^{75} + 82 q^{78} + 88 q^{79} + 36 q^{81} + 44 q^{82} + 22 q^{84} + 20 q^{85} - 10 q^{87} + 8 q^{93} - 56 q^{94} + 4 q^{96} - 132 q^{97} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.909632 0.415415i −0.643207 0.293743i
\(3\) 0.322552 1.70175i 0.186226 0.982507i
\(4\) 0.654861 + 0.755750i 0.327430 + 0.377875i
\(5\) 1.12015 0.719874i 0.500944 0.321937i −0.265649 0.964070i \(-0.585586\pi\)
0.766594 + 0.642132i \(0.221950\pi\)
\(6\) −1.00034 + 1.41398i −0.408386 + 0.577253i
\(7\) 1.49094 + 0.214365i 0.563522 + 0.0810222i 0.418188 0.908361i \(-0.362665\pi\)
0.145334 + 0.989383i \(0.453574\pi\)
\(8\) −0.281733 0.959493i −0.0996075 0.339232i
\(9\) −2.79192 1.09781i −0.930640 0.365936i
\(10\) −1.31797 + 0.189495i −0.416778 + 0.0599236i
\(11\) −1.00968 2.21088i −0.304429 0.666606i 0.694154 0.719826i \(-0.255779\pi\)
−0.998583 + 0.0532206i \(0.983051\pi\)
\(12\) 1.49733 0.870642i 0.432241 0.251333i
\(13\) −0.172574 1.20028i −0.0478634 0.332897i −0.999658 0.0261603i \(-0.991672\pi\)
0.951794 0.306737i \(-0.0992371\pi\)
\(14\) −1.26715 0.814351i −0.338661 0.217644i
\(15\) −0.863741 2.13841i −0.223017 0.552134i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) −2.63441 + 3.04027i −0.638939 + 0.737375i −0.979187 0.202961i \(-0.934944\pi\)
0.340248 + 0.940336i \(0.389489\pi\)
\(18\) 2.08357 + 2.15841i 0.491103 + 0.508741i
\(19\) 4.36347 3.78096i 1.00105 0.867413i 0.00986977 0.999951i \(-0.496858\pi\)
0.991178 + 0.132539i \(0.0423129\pi\)
\(20\) 1.27758 + 0.375132i 0.285676 + 0.0838822i
\(21\) 0.845700 2.46806i 0.184547 0.538575i
\(22\) 2.43052i 0.518189i
\(23\) 2.02041 + 4.34948i 0.421285 + 0.906928i
\(24\) −1.72369 + 0.169952i −0.351847 + 0.0346914i
\(25\) −1.34057 + 2.93543i −0.268113 + 0.587087i
\(26\) −0.341634 + 1.16350i −0.0670000 + 0.228181i
\(27\) −2.76874 + 4.39706i −0.532844 + 0.846214i
\(28\) 0.814351 + 1.26715i 0.153898 + 0.239470i
\(29\) 1.94196 + 1.68271i 0.360612 + 0.312472i 0.816256 0.577690i \(-0.196046\pi\)
−0.455644 + 0.890162i \(0.650591\pi\)
\(30\) −0.102640 + 2.30397i −0.0187393 + 0.420646i
\(31\) 5.49153 1.61246i 0.986308 0.289606i 0.251482 0.967862i \(-0.419082\pi\)
0.734826 + 0.678256i \(0.237264\pi\)
\(32\) 0.540641 0.841254i 0.0955727 0.148714i
\(33\) −4.08805 + 1.00509i −0.711637 + 0.174964i
\(34\) 3.65932 1.67116i 0.627569 0.286601i
\(35\) 1.82438 0.833168i 0.308377 0.140831i
\(36\) −0.998651 2.82890i −0.166442 0.471484i
\(37\) −4.96610 + 7.72740i −0.816421 + 1.27038i 0.143372 + 0.989669i \(0.454205\pi\)
−0.959793 + 0.280708i \(0.909431\pi\)
\(38\) −5.53982 + 1.62664i −0.898677 + 0.263875i
\(39\) −2.09824 0.0934742i −0.335987 0.0149679i
\(40\) −1.00630 0.871960i −0.159109 0.137869i
\(41\) 6.32320 + 9.83909i 0.987518 + 1.53661i 0.836420 + 0.548089i \(0.184645\pi\)
0.151098 + 0.988519i \(0.451719\pi\)
\(42\) −1.79455 + 1.89371i −0.276905 + 0.292206i
\(43\) −0.667960 + 2.27486i −0.101863 + 0.346913i −0.994616 0.103634i \(-0.966953\pi\)
0.892753 + 0.450547i \(0.148771\pi\)
\(44\) 1.00968 2.21088i 0.152214 0.333303i
\(45\) −3.91764 + 0.780126i −0.584007 + 0.116294i
\(46\) −0.0309926 4.79573i −0.00456961 0.707092i
\(47\) 3.88490i 0.566671i −0.959021 0.283335i \(-0.908559\pi\)
0.959021 0.283335i \(-0.0914410\pi\)
\(48\) 1.63853 + 0.561454i 0.236501 + 0.0810389i
\(49\) −4.53951 1.33292i −0.648501 0.190417i
\(50\) 2.43885 2.11327i 0.344905 0.298862i
\(51\) 4.32406 + 5.46376i 0.605489 + 0.765080i
\(52\) 0.794097 0.916437i 0.110121 0.127087i
\(53\) 1.06952 7.43870i 0.146910 1.02178i −0.774328 0.632785i \(-0.781912\pi\)
0.921238 0.388999i \(-0.127179\pi\)
\(54\) 4.34513 2.84953i 0.591298 0.387772i
\(55\) −2.72254 1.74967i −0.367107 0.235925i
\(56\) −0.214365 1.49094i −0.0286457 0.199235i
\(57\) −5.02682 8.64509i −0.665818 1.14507i
\(58\) −1.06744 2.33737i −0.140162 0.306911i
\(59\) 1.80201 0.259090i 0.234602 0.0337306i −0.0240111 0.999712i \(-0.507644\pi\)
0.258613 + 0.965981i \(0.416735\pi\)
\(60\) 1.05047 2.05313i 0.135615 0.265058i
\(61\) −0.525376 1.78927i −0.0672675 0.229092i 0.918997 0.394264i \(-0.129000\pi\)
−0.986265 + 0.165172i \(0.947182\pi\)
\(62\) −5.66511 0.814520i −0.719470 0.103444i
\(63\) −3.92725 2.23525i −0.494787 0.281615i
\(64\) −0.841254 + 0.540641i −0.105157 + 0.0675801i
\(65\) −1.05736 1.22025i −0.131149 0.151354i
\(66\) 4.13615 + 0.783971i 0.509125 + 0.0965001i
\(67\) 8.93253 + 4.07935i 1.09128 + 0.498372i 0.878020 0.478623i \(-0.158864\pi\)
0.213262 + 0.976995i \(0.431591\pi\)
\(68\) −4.02286 −0.487843
\(69\) 8.05342 2.03531i 0.969518 0.245022i
\(70\) −2.00563 −0.239718
\(71\) 2.72650 + 1.24515i 0.323576 + 0.147772i 0.570579 0.821242i \(-0.306719\pi\)
−0.247004 + 0.969015i \(0.579446\pi\)
\(72\) −0.266764 + 2.98812i −0.0314384 + 0.352153i
\(73\) −8.71102 10.0531i −1.01955 1.17662i −0.984166 0.177247i \(-0.943281\pi\)
−0.0353814 0.999374i \(-0.511265\pi\)
\(74\) 7.72740 4.96610i 0.898292 0.577297i
\(75\) 4.56298 + 3.22814i 0.526887 + 0.372754i
\(76\) 5.71492 + 0.821682i 0.655547 + 0.0942534i
\(77\) −1.03143 3.51273i −0.117542 0.400312i
\(78\) 1.86979 + 0.956667i 0.211712 + 0.108321i
\(79\) −7.42390 + 1.06740i −0.835254 + 0.120091i −0.546654 0.837358i \(-0.684099\pi\)
−0.288600 + 0.957450i \(0.593190\pi\)
\(80\) 0.553133 + 1.21119i 0.0618422 + 0.135415i
\(81\) 6.58964 + 6.12998i 0.732182 + 0.681109i
\(82\) −1.66448 11.5767i −0.183811 1.27843i
\(83\) −6.10459 3.92318i −0.670065 0.430625i 0.160884 0.986973i \(-0.448566\pi\)
−0.830949 + 0.556348i \(0.812202\pi\)
\(84\) 2.41905 0.977100i 0.263940 0.106610i
\(85\) −0.762312 + 5.30199i −0.0826843 + 0.575082i
\(86\) 1.55261 1.79181i 0.167422 0.193216i
\(87\) 3.48994 2.76196i 0.374161 0.296114i
\(88\) −1.83687 + 1.59165i −0.195811 + 0.169671i
\(89\) −7.87435 2.31212i −0.834679 0.245084i −0.163653 0.986518i \(-0.552328\pi\)
−0.671026 + 0.741434i \(0.734146\pi\)
\(90\) 3.88769 + 0.917819i 0.409798 + 0.0967466i
\(91\) 1.82653i 0.191473i
\(92\) −1.96403 + 4.37523i −0.204764 + 0.456149i
\(93\) −0.972700 9.86533i −0.100864 1.02299i
\(94\) −1.61385 + 3.53383i −0.166455 + 0.364487i
\(95\) 2.16590 7.37638i 0.222217 0.756800i
\(96\) −1.25722 1.19138i −0.128314 0.121595i
\(97\) 9.14934 + 14.2367i 0.928975 + 1.44551i 0.894988 + 0.446091i \(0.147184\pi\)
0.0339871 + 0.999422i \(0.489179\pi\)
\(98\) 3.57557 + 3.09825i 0.361187 + 0.312970i
\(99\) 0.391811 + 7.28103i 0.0393785 + 0.731772i
\(100\) −3.09634 + 0.909167i −0.309634 + 0.0909167i
\(101\) −0.785907 + 1.22290i −0.0782007 + 0.121683i −0.878151 0.478384i \(-0.841223\pi\)
0.799950 + 0.600066i \(0.204859\pi\)
\(102\) −1.66357 6.76629i −0.164718 0.669963i
\(103\) −11.4095 + 5.21054i −1.12421 + 0.513410i −0.888713 0.458464i \(-0.848400\pi\)
−0.235499 + 0.971875i \(0.575672\pi\)
\(104\) −1.10304 + 0.503740i −0.108162 + 0.0493958i
\(105\) −0.829386 3.37339i −0.0809398 0.329209i
\(106\) −4.06302 + 6.32218i −0.394635 + 0.614064i
\(107\) −6.33498 + 1.86012i −0.612426 + 0.179824i −0.573213 0.819407i \(-0.694303\pi\)
−0.0392127 + 0.999231i \(0.512485\pi\)
\(108\) −5.13621 + 0.786988i −0.494232 + 0.0757279i
\(109\) −14.0230 12.1510i −1.34316 1.16385i −0.971919 0.235317i \(-0.924387\pi\)
−0.371241 0.928537i \(-0.621068\pi\)
\(110\) 1.74967 + 2.72254i 0.166824 + 0.259584i
\(111\) 11.5483 + 10.9436i 1.09612 + 1.03872i
\(112\) −0.424365 + 1.44526i −0.0400987 + 0.136564i
\(113\) −5.75929 + 12.6111i −0.541788 + 1.18635i 0.418724 + 0.908113i \(0.362477\pi\)
−0.960512 + 0.278237i \(0.910250\pi\)
\(114\) 0.981253 + 9.95207i 0.0919027 + 0.932097i
\(115\) 5.39423 + 3.41761i 0.503014 + 0.318693i
\(116\) 2.56958i 0.238579i
\(117\) −0.835861 + 3.54053i −0.0772754 + 0.327322i
\(118\) −1.74680 0.512906i −0.160806 0.0472168i
\(119\) −4.57947 + 3.96814i −0.419800 + 0.363758i
\(120\) −1.80844 + 1.43121i −0.165087 + 0.130651i
\(121\) 3.33492 3.84870i 0.303174 0.349882i
\(122\) −0.265389 + 1.84582i −0.0240272 + 0.167113i
\(123\) 18.7833 7.58690i 1.69363 0.684088i
\(124\) 4.81480 + 3.09429i 0.432382 + 0.277875i
\(125\) 1.55899 + 10.8430i 0.139440 + 0.969826i
\(126\) 2.64379 + 3.66469i 0.235528 + 0.326477i
\(127\) −7.59245 16.6251i −0.673721 1.47524i −0.869162 0.494527i \(-0.835341\pi\)
0.195441 0.980715i \(-0.437386\pi\)
\(128\) 0.989821 0.142315i 0.0874887 0.0125790i
\(129\) 3.65580 + 1.87046i 0.321875 + 0.164685i
\(130\) 0.454893 + 1.54922i 0.0398968 + 0.135876i
\(131\) 20.0087 + 2.87682i 1.74817 + 0.251349i 0.940864 0.338785i \(-0.110016\pi\)
0.807306 + 0.590134i \(0.200925\pi\)
\(132\) −3.43670 2.43134i −0.299126 0.211621i
\(133\) 7.31616 4.70181i 0.634392 0.407699i
\(134\) −6.43069 7.42141i −0.555527 0.641112i
\(135\) 0.0639374 + 6.91848i 0.00550286 + 0.595448i
\(136\) 3.65932 + 1.67116i 0.313784 + 0.143300i
\(137\) −1.71701 −0.146694 −0.0733470 0.997306i \(-0.523368\pi\)
−0.0733470 + 0.997306i \(0.523368\pi\)
\(138\) −8.17114 1.49413i −0.695574 0.127189i
\(139\) 9.24109 0.783819 0.391909 0.920004i \(-0.371815\pi\)
0.391909 + 0.920004i \(0.371815\pi\)
\(140\) 1.82438 + 0.833168i 0.154188 + 0.0704155i
\(141\) −6.61114 1.25308i −0.556758 0.105529i
\(142\) −1.96286 2.26526i −0.164719 0.190096i
\(143\) −2.47943 + 1.59343i −0.207340 + 0.133249i
\(144\) 1.48397 2.60727i 0.123664 0.217272i
\(145\) 3.38662 + 0.486922i 0.281243 + 0.0404367i
\(146\) 3.74763 + 12.7633i 0.310156 + 1.05630i
\(147\) −3.73253 + 7.29518i −0.307854 + 0.601696i
\(148\) −9.09208 + 1.30724i −0.747364 + 0.107455i
\(149\) −0.929742 2.03585i −0.0761675 0.166783i 0.867718 0.497057i \(-0.165586\pi\)
−0.943885 + 0.330274i \(0.892859\pi\)
\(150\) −2.80961 4.83195i −0.229404 0.394527i
\(151\) −1.71974 11.9611i −0.139951 0.973379i −0.931880 0.362766i \(-0.881832\pi\)
0.791929 0.610613i \(-0.209077\pi\)
\(152\) −4.85714 3.12149i −0.393966 0.253187i
\(153\) 10.6927 5.59612i 0.864454 0.452420i
\(154\) −0.521018 + 3.62376i −0.0419848 + 0.292011i
\(155\) 4.99055 5.75940i 0.400850 0.462606i
\(156\) −1.30341 1.64696i −0.104356 0.131862i
\(157\) 7.39066 6.40404i 0.589839 0.511098i −0.308021 0.951379i \(-0.599667\pi\)
0.897860 + 0.440281i \(0.145121\pi\)
\(158\) 7.19643 + 2.11306i 0.572517 + 0.168106i
\(159\) −12.3138 4.21943i −0.976551 0.334623i
\(160\) 1.33152i 0.105266i
\(161\) 2.07993 + 6.91790i 0.163922 + 0.545207i
\(162\) −3.44766 8.31346i −0.270874 0.653167i
\(163\) −7.07658 + 15.4955i −0.554280 + 1.21370i 0.400474 + 0.916308i \(0.368846\pi\)
−0.954754 + 0.297396i \(0.903882\pi\)
\(164\) −3.29507 + 11.2220i −0.257302 + 0.876290i
\(165\) −3.85567 + 4.06873i −0.300163 + 0.316750i
\(166\) 3.92318 + 6.10459i 0.304498 + 0.473808i
\(167\) −17.5062 15.1692i −1.35467 1.17383i −0.967806 0.251696i \(-0.919012\pi\)
−0.386868 0.922135i \(-0.626443\pi\)
\(168\) −2.60635 0.116110i −0.201084 0.00895808i
\(169\) 11.0625 3.24825i 0.850963 0.249865i
\(170\) 2.89595 4.50619i 0.222109 0.345609i
\(171\) −16.3332 + 5.76590i −1.24903 + 0.440930i
\(172\) −2.15665 + 0.984908i −0.164443 + 0.0750985i
\(173\) 8.20959 3.74919i 0.624163 0.285046i −0.0781193 0.996944i \(-0.524892\pi\)
0.702283 + 0.711898i \(0.252164\pi\)
\(174\) −4.32193 + 1.06260i −0.327644 + 0.0805552i
\(175\) −2.62796 + 4.08918i −0.198655 + 0.309113i
\(176\) 2.33207 0.684757i 0.175786 0.0516155i
\(177\) 0.140335 3.15014i 0.0105483 0.236779i
\(178\) 6.20227 + 5.37430i 0.464880 + 0.402821i
\(179\) −11.9368 18.5740i −0.892197 1.38829i −0.921360 0.388711i \(-0.872920\pi\)
0.0291624 0.999575i \(-0.490716\pi\)
\(180\) −3.15509 2.44988i −0.235166 0.182603i
\(181\) −0.799679 + 2.72345i −0.0594396 + 0.202433i −0.983859 0.178944i \(-0.942732\pi\)
0.924420 + 0.381377i \(0.124550\pi\)
\(182\) −0.758769 + 1.66147i −0.0562437 + 0.123157i
\(183\) −3.21435 + 0.316928i −0.237612 + 0.0234280i
\(184\) 3.60408 3.16396i 0.265696 0.233250i
\(185\) 12.2308i 0.899225i
\(186\) −3.21341 + 9.37789i −0.235618 + 0.687620i
\(187\) 9.38159 + 2.75468i 0.686050 + 0.201442i
\(188\) 2.93601 2.54407i 0.214131 0.185545i
\(189\) −5.07059 + 5.96222i −0.368831 + 0.433688i
\(190\) −5.03443 + 5.81004i −0.365236 + 0.421505i
\(191\) 2.78216 19.3504i 0.201310 1.40014i −0.599092 0.800680i \(-0.704472\pi\)
0.800402 0.599464i \(-0.204619\pi\)
\(192\) 0.648688 + 1.60599i 0.0468151 + 0.115902i
\(193\) −1.97951 1.27215i −0.142488 0.0915717i 0.467454 0.884017i \(-0.345171\pi\)
−0.609943 + 0.792446i \(0.708808\pi\)
\(194\) −2.40841 16.7509i −0.172914 1.20264i
\(195\) −2.41762 + 1.40576i −0.173129 + 0.100669i
\(196\) −1.96539 4.30361i −0.140385 0.307401i
\(197\) 9.15698 1.31657i 0.652408 0.0938021i 0.191839 0.981426i \(-0.438555\pi\)
0.460568 + 0.887624i \(0.347646\pi\)
\(198\) 2.66825 6.78583i 0.189624 0.482248i
\(199\) −3.74392 12.7506i −0.265399 0.903867i −0.979094 0.203410i \(-0.934798\pi\)
0.713694 0.700457i \(-0.247021\pi\)
\(200\) 3.19421 + 0.459258i 0.225865 + 0.0324744i
\(201\) 9.82325 13.8851i 0.692878 0.979383i
\(202\) 1.22290 0.785907i 0.0860426 0.0552962i
\(203\) 2.53462 + 2.92511i 0.177896 + 0.205302i
\(204\) −1.29758 + 6.84591i −0.0908489 + 0.479310i
\(205\) 14.1658 + 6.46931i 0.989383 + 0.451836i
\(206\) 12.5430 0.873911
\(207\) −0.865937 14.3614i −0.0601868 0.998187i
\(208\) 1.21262 0.0840801
\(209\) −12.7649 5.82956i −0.882970 0.403239i
\(210\) −0.646920 + 3.41308i −0.0446417 + 0.235525i
\(211\) 4.41576 + 5.09606i 0.303994 + 0.350827i 0.887107 0.461563i \(-0.152711\pi\)
−0.583114 + 0.812391i \(0.698166\pi\)
\(212\) 6.32218 4.06302i 0.434209 0.279049i
\(213\) 2.99837 4.23820i 0.205445 0.290396i
\(214\) 6.53522 + 0.939623i 0.446738 + 0.0642313i
\(215\) 0.889402 + 3.02902i 0.0606567 + 0.206578i
\(216\) 4.99899 + 1.41779i 0.340138 + 0.0964684i
\(217\) 8.53318 1.22689i 0.579270 0.0832865i
\(218\) 7.70806 + 16.8783i 0.522056 + 1.14314i
\(219\) −19.9176 + 11.5814i −1.34590 + 0.782596i
\(220\) −0.460572 3.20335i −0.0310518 0.215970i
\(221\) 4.10380 + 2.63735i 0.276052 + 0.177408i
\(222\) −5.95858 14.7519i −0.399914 0.990086i
\(223\) −3.94510 + 27.4388i −0.264183 + 1.83744i 0.236289 + 0.971683i \(0.424069\pi\)
−0.500472 + 0.865753i \(0.666840\pi\)
\(224\) 0.986397 1.13836i 0.0659064 0.0760600i
\(225\) 6.96530 6.72381i 0.464353 0.448254i
\(226\) 10.4777 9.07895i 0.696964 0.603923i
\(227\) −7.27118 2.13501i −0.482605 0.141706i 0.0313752 0.999508i \(-0.490011\pi\)
−0.513980 + 0.857802i \(0.671830\pi\)
\(228\) 3.24166 9.46035i 0.214684 0.626527i
\(229\) 19.8565i 1.31215i 0.754695 + 0.656076i \(0.227785\pi\)
−0.754695 + 0.656076i \(0.772215\pi\)
\(230\) −3.48704 5.34961i −0.229928 0.352743i
\(231\) −6.31048 + 0.622200i −0.415199 + 0.0409377i
\(232\) 1.06744 2.33737i 0.0700809 0.153456i
\(233\) 4.48375 15.2703i 0.293740 1.00039i −0.671929 0.740615i \(-0.734534\pi\)
0.965670 0.259773i \(-0.0836476\pi\)
\(234\) 2.23112 2.87335i 0.145853 0.187837i
\(235\) −2.79664 4.35165i −0.182433 0.283871i
\(236\) 1.37587 + 1.19220i 0.0895617 + 0.0776056i
\(237\) −0.578153 + 12.9779i −0.0375550 + 0.843007i
\(238\) 5.81406 1.70716i 0.376869 0.110659i
\(239\) 0.244516 0.380474i 0.0158164 0.0246108i −0.833255 0.552888i \(-0.813526\pi\)
0.849072 + 0.528278i \(0.177162\pi\)
\(240\) 2.23956 0.550623i 0.144563 0.0355425i
\(241\) 0.138748 0.0633640i 0.00893754 0.00408164i −0.410941 0.911662i \(-0.634800\pi\)
0.419879 + 0.907580i \(0.362073\pi\)
\(242\) −4.63235 + 2.11552i −0.297779 + 0.135991i
\(243\) 12.5572 9.23669i 0.805546 0.592534i
\(244\) 1.00819 1.56877i 0.0645427 0.100430i
\(245\) −6.04444 + 1.77481i −0.386165 + 0.113388i
\(246\) −20.2376 0.901561i −1.29030 0.0574814i
\(247\) −5.29122 4.58487i −0.336673 0.291728i
\(248\) −3.09429 4.81480i −0.196487 0.305740i
\(249\) −8.64533 + 9.12306i −0.547875 + 0.578151i
\(250\) 3.08624 10.5108i 0.195191 0.664758i
\(251\) −6.90784 + 15.1260i −0.436019 + 0.954748i 0.556293 + 0.830986i \(0.312223\pi\)
−0.992312 + 0.123762i \(0.960504\pi\)
\(252\) −0.882510 4.43179i −0.0555929 0.279177i
\(253\) 7.57622 8.85845i 0.476313 0.556926i
\(254\) 18.2768i 1.14679i
\(255\) 8.77680 + 3.00744i 0.549624 + 0.188333i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) 3.73058 3.23257i 0.232707 0.201642i −0.530699 0.847560i \(-0.678071\pi\)
0.763407 + 0.645918i \(0.223525\pi\)
\(258\) −2.54841 3.22011i −0.158657 0.200475i
\(259\) −9.06062 + 10.4565i −0.563000 + 0.649736i
\(260\) 0.229785 1.59819i 0.0142507 0.0991157i
\(261\) −3.57449 6.82990i −0.221255 0.422760i
\(262\) −17.0055 10.9288i −1.05060 0.675181i
\(263\) −1.27293 8.85339i −0.0784920 0.545924i −0.990686 0.136165i \(-0.956522\pi\)
0.912194 0.409758i \(-0.134387\pi\)
\(264\) 2.11612 + 3.63928i 0.130238 + 0.223982i
\(265\) −4.15690 9.10235i −0.255356 0.559153i
\(266\) −8.60822 + 1.23767i −0.527804 + 0.0758867i
\(267\) −6.47454 + 12.6544i −0.396235 + 0.774437i
\(268\) 2.76660 + 9.42216i 0.168997 + 0.575550i
\(269\) 22.5063 + 3.23592i 1.37224 + 0.197298i 0.788695 0.614785i \(-0.210757\pi\)
0.583542 + 0.812083i \(0.301666\pi\)
\(270\) 2.81588 6.31983i 0.171369 0.384613i
\(271\) −1.26973 + 0.816007i −0.0771307 + 0.0495689i −0.578638 0.815585i \(-0.696415\pi\)
0.501507 + 0.865154i \(0.332779\pi\)
\(272\) −2.63441 3.04027i −0.159735 0.184344i
\(273\) −3.10830 0.589152i −0.188123 0.0356571i
\(274\) 1.56185 + 0.713271i 0.0943546 + 0.0430903i
\(275\) 7.84343 0.472977
\(276\) 6.81205 + 4.75353i 0.410037 + 0.286129i
\(277\) 2.86203 0.171963 0.0859813 0.996297i \(-0.472597\pi\)
0.0859813 + 0.996297i \(0.472597\pi\)
\(278\) −8.40599 3.83889i −0.504158 0.230241i
\(279\) −17.1021 1.52679i −1.02388 0.0914064i
\(280\) −1.31341 1.51575i −0.0784911 0.0905835i
\(281\) −13.5266 + 8.69300i −0.806928 + 0.518581i −0.877870 0.478899i \(-0.841036\pi\)
0.0709420 + 0.997480i \(0.477399\pi\)
\(282\) 5.49315 + 3.88621i 0.327112 + 0.231420i
\(283\) −2.13160 0.306478i −0.126711 0.0182182i 0.0786677 0.996901i \(-0.474933\pi\)
−0.205378 + 0.978683i \(0.565842\pi\)
\(284\) 0.844455 + 2.87595i 0.0501092 + 0.170656i
\(285\) −11.8541 6.06509i −0.702179 0.359265i
\(286\) 2.91730 0.419445i 0.172504 0.0248023i
\(287\) 7.31835 + 16.0249i 0.431988 + 0.945923i
\(288\) −2.43296 + 1.75519i −0.143364 + 0.103426i
\(289\) 0.116214 + 0.808289i 0.00683615 + 0.0475464i
\(290\) −2.87830 1.84977i −0.169020 0.108622i
\(291\) 27.1784 10.9778i 1.59323 0.643533i
\(292\) 1.89309 13.1667i 0.110784 0.770523i
\(293\) −18.9102 + 21.8236i −1.10475 + 1.27495i −0.146437 + 0.989220i \(0.546781\pi\)
−0.958311 + 0.285727i \(0.907765\pi\)
\(294\) 6.42575 5.08538i 0.374758 0.296585i
\(295\) 1.83200 1.58744i 0.106663 0.0924242i
\(296\) 8.81350 + 2.58788i 0.512274 + 0.150417i
\(297\) 12.5169 + 1.68175i 0.726304 + 0.0975849i
\(298\) 2.23810i 0.129650i
\(299\) 4.87191 3.17566i 0.281750 0.183653i
\(300\) 0.548446 + 5.56245i 0.0316645 + 0.321148i
\(301\) −1.48354 + 3.24849i −0.0855096 + 0.187240i
\(302\) −3.40448 + 11.5946i −0.195906 + 0.667194i
\(303\) 1.82757 + 1.73187i 0.104991 + 0.0994932i
\(304\) 3.12149 + 4.85714i 0.179030 + 0.278576i
\(305\) −1.87654 1.62603i −0.107451 0.0931065i
\(306\) −12.0511 + 0.648503i −0.688918 + 0.0370725i
\(307\) −8.74066 + 2.56649i −0.498856 + 0.146477i −0.521475 0.853267i \(-0.674618\pi\)
0.0226186 + 0.999744i \(0.492800\pi\)
\(308\) 1.97930 3.07985i 0.112781 0.175491i
\(309\) 5.18690 + 21.0968i 0.295072 + 1.20016i
\(310\) −6.93210 + 3.16578i −0.393717 + 0.179804i
\(311\) −10.6970 + 4.88517i −0.606573 + 0.277013i −0.694931 0.719076i \(-0.744565\pi\)
0.0883584 + 0.996089i \(0.471838\pi\)
\(312\) 0.501454 + 2.03958i 0.0283893 + 0.115468i
\(313\) −2.30643 + 3.58887i −0.130367 + 0.202855i −0.900300 0.435269i \(-0.856653\pi\)
0.769933 + 0.638124i \(0.220289\pi\)
\(314\) −9.38311 + 2.75513i −0.529520 + 0.155481i
\(315\) −6.00819 + 0.323316i −0.338523 + 0.0182168i
\(316\) −5.66831 4.91161i −0.318867 0.276300i
\(317\) −2.86723 4.46150i −0.161040 0.250583i 0.751351 0.659902i \(-0.229402\pi\)
−0.912391 + 0.409320i \(0.865766\pi\)
\(318\) 9.44825 + 8.95348i 0.529831 + 0.502086i
\(319\) 1.75954 5.99243i 0.0985151 0.335512i
\(320\) −0.553133 + 1.21119i −0.0309211 + 0.0677077i
\(321\) 1.12210 + 11.3805i 0.0626294 + 0.635200i
\(322\) 0.981826 7.15678i 0.0547151 0.398832i
\(323\) 23.2268i 1.29237i
\(324\) −0.317438 + 8.99440i −0.0176354 + 0.499689i
\(325\) 3.75468 + 1.10247i 0.208272 + 0.0611542i
\(326\) 12.8742 11.1555i 0.713034 0.617847i
\(327\) −25.2011 + 19.9443i −1.39363 + 1.10292i
\(328\) 7.65909 8.83906i 0.422902 0.488055i
\(329\) 0.832785 5.79214i 0.0459129 0.319331i
\(330\) 5.19745 2.09934i 0.286110 0.115565i
\(331\) 10.3875 + 6.67562i 0.570947 + 0.366925i 0.794034 0.607873i \(-0.207977\pi\)
−0.223087 + 0.974798i \(0.571614\pi\)
\(332\) −1.03271 7.18268i −0.0566775 0.394201i
\(333\) 22.3481 16.1225i 1.22467 0.883505i
\(334\) 9.62271 + 21.0708i 0.526531 + 1.15294i
\(335\) 12.9423 1.86083i 0.707116 0.101668i
\(336\) 2.32259 + 1.18833i 0.126707 + 0.0648290i
\(337\) 5.36219 + 18.2619i 0.292097 + 0.994791i 0.966551 + 0.256474i \(0.0825609\pi\)
−0.674454 + 0.738317i \(0.735621\pi\)
\(338\) −11.4122 1.64083i −0.620742 0.0892492i
\(339\) 19.6033 + 13.8686i 1.06470 + 0.753240i
\(340\) −4.50619 + 2.89595i −0.244382 + 0.157055i
\(341\) −9.10962 10.5131i −0.493314 0.569314i
\(342\) 17.2525 + 1.54021i 0.932906 + 0.0832852i
\(343\) −16.0734 7.34050i −0.867885 0.396350i
\(344\) 2.37090 0.127830
\(345\) 7.55584 8.07728i 0.406793 0.434866i
\(346\) −9.02518 −0.485196
\(347\) −15.5113 7.08379i −0.832692 0.380278i −0.0469997 0.998895i \(-0.514966\pi\)
−0.785693 + 0.618617i \(0.787693\pi\)
\(348\) 4.37278 + 0.828822i 0.234406 + 0.0444295i
\(349\) −17.1986 19.8483i −0.920621 1.06245i −0.997856 0.0654409i \(-0.979155\pi\)
0.0772350 0.997013i \(-0.475391\pi\)
\(350\) 4.08918 2.62796i 0.218576 0.140470i
\(351\) 5.75550 + 2.56443i 0.307206 + 0.136879i
\(352\) −2.40578 0.345899i −0.128229 0.0184365i
\(353\) 3.11065 + 10.5939i 0.165563 + 0.563856i 0.999920 + 0.0126319i \(0.00402096\pi\)
−0.834357 + 0.551224i \(0.814161\pi\)
\(354\) −1.43627 + 2.80717i −0.0763369 + 0.149200i
\(355\) 3.95043 0.567985i 0.209667 0.0301455i
\(356\) −3.40922 7.46515i −0.180688 0.395652i
\(357\) 5.27566 + 9.07306i 0.279218 + 0.480197i
\(358\) 3.14216 + 21.8542i 0.166068 + 1.15503i
\(359\) 18.5628 + 11.9296i 0.979705 + 0.629618i 0.929384 0.369115i \(-0.120339\pi\)
0.0503215 + 0.998733i \(0.483975\pi\)
\(360\) 1.85225 + 3.53916i 0.0976223 + 0.186530i
\(361\) 2.04016 14.1896i 0.107377 0.746821i
\(362\) 1.85878 2.14514i 0.0976952 0.112746i
\(363\) −5.47385 6.91661i −0.287302 0.363028i
\(364\) 1.38040 1.19612i 0.0723527 0.0626939i
\(365\) −16.9945 4.99005i −0.889535 0.261191i
\(366\) 3.05553 + 1.04700i 0.159715 + 0.0547276i
\(367\) 12.7528i 0.665692i −0.942981 0.332846i \(-0.891991\pi\)
0.942981 0.332846i \(-0.108009\pi\)
\(368\) −4.59274 + 1.38085i −0.239413 + 0.0719818i
\(369\) −6.85244 34.4116i −0.356724 1.79140i
\(370\) 5.08085 11.1255i 0.264141 0.578387i
\(371\) 3.18919 10.8614i 0.165574 0.563894i
\(372\) 6.81873 7.19553i 0.353535 0.373071i
\(373\) −1.34653 2.09524i −0.0697206 0.108487i 0.804643 0.593759i \(-0.202357\pi\)
−0.874363 + 0.485272i \(0.838721\pi\)
\(374\) −7.38946 6.40300i −0.382100 0.331091i
\(375\) 18.9549 + 0.844421i 0.978828 + 0.0436057i
\(376\) −3.72753 + 1.09450i −0.192233 + 0.0564447i
\(377\) 1.68459 2.62128i 0.0867609 0.135003i
\(378\) 7.08916 3.31703i 0.364627 0.170609i
\(379\) 4.75595 2.17197i 0.244297 0.111567i −0.289504 0.957177i \(-0.593490\pi\)
0.533801 + 0.845610i \(0.320763\pi\)
\(380\) 6.99305 3.19362i 0.358736 0.163829i
\(381\) −30.7408 + 7.55799i −1.57490 + 0.387207i
\(382\) −10.5692 + 16.4460i −0.540766 + 0.841449i
\(383\) 8.76661 2.57411i 0.447953 0.131531i −0.0499728 0.998751i \(-0.515913\pi\)
0.497926 + 0.867220i \(0.334095\pi\)
\(384\) 0.0770845 1.73033i 0.00393370 0.0883008i
\(385\) −3.68407 3.19227i −0.187758 0.162693i
\(386\) 1.27215 + 1.97951i 0.0647509 + 0.100754i
\(387\) 4.36225 5.61794i 0.221746 0.285576i
\(388\) −4.76780 + 16.2376i −0.242048 + 0.824341i
\(389\) 10.8067 23.6633i 0.547919 1.19978i −0.409827 0.912163i \(-0.634411\pi\)
0.957747 0.287613i \(-0.0928617\pi\)
\(390\) 2.78312 0.274410i 0.140929 0.0138953i
\(391\) −18.5462 5.31571i −0.937921 0.268827i
\(392\) 4.73115i 0.238959i
\(393\) 11.3495 33.1219i 0.572506 1.67078i
\(394\) −8.87641 2.60635i −0.447187 0.131306i
\(395\) −7.54746 + 6.53991i −0.379754 + 0.329059i
\(396\) −5.24606 + 5.06417i −0.263624 + 0.254484i
\(397\) 3.14036 3.62417i 0.157610 0.181892i −0.671452 0.741048i \(-0.734329\pi\)
0.829063 + 0.559156i \(0.188875\pi\)
\(398\) −1.89121 + 13.1536i −0.0947977 + 0.659333i
\(399\) −5.64147 13.9669i −0.282427 0.699218i
\(400\) −2.71477 1.74468i −0.135739 0.0872339i
\(401\) 1.11136 + 7.72970i 0.0554988 + 0.386003i 0.998572 + 0.0534182i \(0.0170116\pi\)
−0.943073 + 0.332585i \(0.892079\pi\)
\(402\) −14.7036 + 8.54965i −0.733351 + 0.426418i
\(403\) −2.88309 6.31309i −0.143617 0.314477i
\(404\) −1.43886 + 0.206877i −0.0715861 + 0.0102925i
\(405\) 11.7942 + 2.12277i 0.586057 + 0.105481i
\(406\) −1.09044 3.71369i −0.0541176 0.184307i
\(407\) 22.0985 + 3.17729i 1.09538 + 0.157492i
\(408\) 4.02422 5.68822i 0.199228 0.281609i
\(409\) −3.44698 + 2.21524i −0.170442 + 0.109537i −0.623081 0.782158i \(-0.714119\pi\)
0.452638 + 0.891694i \(0.350483\pi\)
\(410\) −10.1982 11.7694i −0.503655 0.581248i
\(411\) −0.553825 + 2.92192i −0.0273182 + 0.144128i
\(412\) −11.4095 5.21054i −0.562106 0.256705i
\(413\) 2.74222 0.134936
\(414\) −5.17826 + 13.4233i −0.254498 + 0.659720i
\(415\) −9.66222 −0.474300
\(416\) −1.10304 0.503740i −0.0540809 0.0246979i
\(417\) 2.98073 15.7260i 0.145967 0.770107i
\(418\) 9.18972 + 10.6055i 0.449484 + 0.518732i
\(419\) 10.6842 6.86634i 0.521959 0.335443i −0.252988 0.967470i \(-0.581413\pi\)
0.774946 + 0.632027i \(0.217777\pi\)
\(420\) 2.00630 2.83591i 0.0978976 0.138378i
\(421\) −13.9088 1.99979i −0.677874 0.0974636i −0.205226 0.978715i \(-0.565793\pi\)
−0.472649 + 0.881251i \(0.656702\pi\)
\(422\) −1.89974 6.46992i −0.0924778 0.314951i
\(423\) −4.26487 + 10.8463i −0.207365 + 0.527367i
\(424\) −7.43870 + 1.06952i −0.361255 + 0.0519406i
\(425\) −5.39291 11.8088i −0.261595 0.572813i
\(426\) −4.48803 + 2.60963i −0.217446 + 0.126437i
\(427\) −0.399748 2.78031i −0.0193452 0.134549i
\(428\) −5.55431 3.56954i −0.268478 0.172540i
\(429\) 1.91188 + 4.73333i 0.0923064 + 0.228528i
\(430\) 0.449274 3.12477i 0.0216659 0.150690i
\(431\) 2.00344 2.31209i 0.0965023 0.111370i −0.705444 0.708766i \(-0.749252\pi\)
0.801946 + 0.597396i \(0.203798\pi\)
\(432\) −3.95827 3.36632i −0.190442 0.161962i
\(433\) −21.3204 + 18.4743i −1.02459 + 0.887816i −0.993741 0.111708i \(-0.964368\pi\)
−0.0308532 + 0.999524i \(0.509822\pi\)
\(434\) −8.27172 2.42880i −0.397055 0.116586i
\(435\) 1.92098 5.60612i 0.0921040 0.268793i
\(436\) 18.5551i 0.888627i
\(437\) 25.2612 + 11.3397i 1.20841 + 0.542451i
\(438\) 22.9287 2.26072i 1.09558 0.108022i
\(439\) 3.51792 7.70317i 0.167901 0.367652i −0.806913 0.590670i \(-0.798864\pi\)
0.974814 + 0.223018i \(0.0715908\pi\)
\(440\) −0.911768 + 3.10520i −0.0434668 + 0.148034i
\(441\) 11.2107 + 8.70491i 0.533841 + 0.414520i
\(442\) −2.63735 4.10380i −0.125446 0.195198i
\(443\) −14.7610 12.7905i −0.701318 0.607695i 0.229444 0.973322i \(-0.426309\pi\)
−0.930762 + 0.365627i \(0.880855\pi\)
\(444\) −0.708066 + 15.8941i −0.0336033 + 0.754302i
\(445\) −10.4849 + 3.07863i −0.497030 + 0.145941i
\(446\) 14.9871 23.3203i 0.709658 1.10425i
\(447\) −3.76441 + 0.925523i −0.178050 + 0.0437757i
\(448\) −1.37015 + 0.625727i −0.0647335 + 0.0295628i
\(449\) 22.2546 10.1634i 1.05026 0.479638i 0.185931 0.982563i \(-0.440470\pi\)
0.864330 + 0.502924i \(0.167743\pi\)
\(450\) −9.12903 + 3.22270i −0.430347 + 0.151920i
\(451\) 15.3687 23.9141i 0.723683 1.12607i
\(452\) −13.3024 + 3.90592i −0.625690 + 0.183719i
\(453\) −20.9095 0.931495i −0.982414 0.0437655i
\(454\) 5.72718 + 4.96263i 0.268790 + 0.232908i
\(455\) −1.31487 2.04598i −0.0616422 0.0959171i
\(456\) −6.87869 + 7.25880i −0.322124 + 0.339925i
\(457\) 8.24801 28.0901i 0.385826 1.31400i −0.506356 0.862324i \(-0.669008\pi\)
0.892182 0.451677i \(-0.149174\pi\)
\(458\) 8.24868 18.0621i 0.385435 0.843986i
\(459\) −6.07426 20.0014i −0.283522 0.933584i
\(460\) 0.949614 + 6.31474i 0.0442760 + 0.294426i
\(461\) 15.5646i 0.724916i 0.932000 + 0.362458i \(0.118062\pi\)
−0.932000 + 0.362458i \(0.881938\pi\)
\(462\) 5.99868 + 2.05549i 0.279084 + 0.0956303i
\(463\) 23.2934 + 6.83957i 1.08254 + 0.317862i 0.773894 0.633316i \(-0.218306\pi\)
0.308645 + 0.951177i \(0.400125\pi\)
\(464\) −1.94196 + 1.68271i −0.0901530 + 0.0781180i
\(465\) −8.19136 10.3504i −0.379865 0.479987i
\(466\) −10.4221 + 12.0277i −0.482792 + 0.557172i
\(467\) 0.00481759 0.0335070i 0.000222931 0.00155052i −0.989710 0.143090i \(-0.954296\pi\)
0.989933 + 0.141540i \(0.0452052\pi\)
\(468\) −3.22313 + 1.68685i −0.148989 + 0.0779748i
\(469\) 12.4434 + 7.99687i 0.574582 + 0.369261i
\(470\) 0.736169 + 5.12017i 0.0339569 + 0.236176i
\(471\) −8.51422 14.6427i −0.392314 0.674700i
\(472\) −0.756280 1.65602i −0.0348106 0.0762246i
\(473\) 5.70387 0.820093i 0.262264 0.0377079i
\(474\) 5.91713 11.5650i 0.271783 0.531197i
\(475\) 5.24925 + 17.8773i 0.240852 + 0.820267i
\(476\) −5.99783 0.862358i −0.274910 0.0395261i
\(477\) −11.1523 + 19.5941i −0.510628 + 0.897153i
\(478\) −0.380474 + 0.244516i −0.0174025 + 0.0111839i
\(479\) −1.37930 1.59179i −0.0630217 0.0727309i 0.723363 0.690468i \(-0.242595\pi\)
−0.786385 + 0.617737i \(0.788050\pi\)
\(480\) −2.26592 0.429485i −0.103424 0.0196032i
\(481\) 10.1320 + 4.62715i 0.461981 + 0.210980i
\(482\) −0.152532 −0.00694764
\(483\) 12.4434 1.30815i 0.566196 0.0595227i
\(484\) 5.09256 0.231480
\(485\) 20.4972 + 9.36075i 0.930729 + 0.425050i
\(486\) −15.2595 + 3.18553i −0.692185 + 0.144499i
\(487\) 21.6359 + 24.9691i 0.980415 + 1.13146i 0.991314 + 0.131519i \(0.0419853\pi\)
−0.0108987 + 0.999941i \(0.503469\pi\)
\(488\) −1.56877 + 1.00819i −0.0710150 + 0.0456386i
\(489\) 24.0870 + 17.0407i 1.08925 + 0.770607i
\(490\) 6.23550 + 0.896530i 0.281691 + 0.0405011i
\(491\) 7.31414 + 24.9097i 0.330082 + 1.12416i 0.942662 + 0.333749i \(0.108314\pi\)
−0.612580 + 0.790409i \(0.709868\pi\)
\(492\) 18.0342 + 9.22708i 0.813045 + 0.415989i
\(493\) −10.2318 + 1.47111i −0.460818 + 0.0662557i
\(494\) 2.90844 + 6.36860i 0.130857 + 0.286537i
\(495\) 5.68031 + 7.87376i 0.255311 + 0.353899i
\(496\) 0.814520 + 5.66511i 0.0365730 + 0.254371i
\(497\) 3.79812 + 2.44091i 0.170369 + 0.109490i
\(498\) 11.6539 4.70723i 0.522225 0.210936i
\(499\) 4.02510 27.9952i 0.180188 1.25324i −0.676128 0.736784i \(-0.736344\pi\)
0.856316 0.516451i \(-0.172747\pi\)
\(500\) −7.17366 + 8.27885i −0.320816 + 0.370241i
\(501\) −31.4610 + 24.8984i −1.40557 + 1.11238i
\(502\) 12.5672 10.8895i 0.560901 0.486023i
\(503\) −24.3923 7.16221i −1.08760 0.319347i −0.311683 0.950186i \(-0.600893\pi\)
−0.775914 + 0.630839i \(0.782711\pi\)
\(504\) −1.03827 + 4.39791i −0.0462484 + 0.195899i
\(505\) 1.93558i 0.0861320i
\(506\) −10.5715 + 4.91065i −0.469961 + 0.218305i
\(507\) −1.95948 19.8734i −0.0870234 0.882609i
\(508\) 7.59245 16.6251i 0.336860 0.737621i
\(509\) 0.266583 0.907898i 0.0118161 0.0402419i −0.953374 0.301792i \(-0.902415\pi\)
0.965190 + 0.261550i \(0.0842335\pi\)
\(510\) −6.73432 6.38167i −0.298201 0.282585i
\(511\) −10.8326 16.8558i −0.479205 0.745657i
\(512\) 0.755750 + 0.654861i 0.0333997 + 0.0289410i
\(513\) 4.54382 + 29.6549i 0.200615 + 1.30930i
\(514\) −4.73632 + 1.39071i −0.208910 + 0.0613415i
\(515\) −9.02937 + 14.0500i −0.397881 + 0.619116i
\(516\) 0.980437 + 3.98776i 0.0431614 + 0.175551i
\(517\) −8.58905 + 3.92249i −0.377746 + 0.172511i
\(518\) 12.5856 5.74766i 0.552981 0.252538i
\(519\) −3.73218 15.1800i −0.163824 0.666328i
\(520\) −0.872933 + 1.35831i −0.0382807 + 0.0595659i
\(521\) −38.7495 + 11.3779i −1.69765 + 0.498475i −0.980179 0.198115i \(-0.936518\pi\)
−0.717470 + 0.696590i \(0.754700\pi\)
\(522\) 0.414227 + 7.69759i 0.0181302 + 0.336914i
\(523\) 20.4738 + 17.7406i 0.895256 + 0.775743i 0.975262 0.221051i \(-0.0709487\pi\)
−0.0800067 + 0.996794i \(0.525494\pi\)
\(524\) 10.9288 + 17.0055i 0.477425 + 0.742888i
\(525\) 6.11111 + 5.79110i 0.266711 + 0.252744i
\(526\) −2.51994 + 8.58212i −0.109875 + 0.374198i
\(527\) −9.56464 + 20.9436i −0.416642 + 0.912319i
\(528\) −0.413073 4.18947i −0.0179767 0.182323i
\(529\) −14.8359 + 17.5755i −0.645038 + 0.764150i
\(530\) 10.0066i 0.434660i
\(531\) −5.31550 1.25490i −0.230673 0.0544581i
\(532\) 8.34446 + 2.45015i 0.361778 + 0.106228i
\(533\) 10.7184 9.28756i 0.464266 0.402289i
\(534\) 11.1463 8.82124i 0.482347 0.381732i
\(535\) −5.75705 + 6.64399i −0.248899 + 0.287245i
\(536\) 1.39752 9.71998i 0.0603638 0.419839i
\(537\) −35.4586 + 14.3224i −1.53015 + 0.618056i
\(538\) −19.1282 12.2930i −0.824677 0.529988i
\(539\) 1.63650 + 11.3821i 0.0704892 + 0.490263i
\(540\) −5.18677 + 4.57896i −0.223203 + 0.197047i
\(541\) 3.24840 + 7.11301i 0.139660 + 0.305812i 0.966518 0.256598i \(-0.0826016\pi\)
−0.826859 + 0.562410i \(0.809874\pi\)
\(542\) 1.49397 0.214800i 0.0641715 0.00922646i
\(543\) 4.37671 + 2.23931i 0.187822 + 0.0960980i
\(544\) 1.13337 + 3.85991i 0.0485929 + 0.165492i
\(545\) −24.4550 3.51609i −1.04754 0.150613i
\(546\) 2.58267 + 1.82715i 0.110528 + 0.0781947i
\(547\) −2.43890 + 1.56738i −0.104280 + 0.0670165i −0.591741 0.806128i \(-0.701559\pi\)
0.487462 + 0.873144i \(0.337923\pi\)
\(548\) −1.12440 1.29763i −0.0480320 0.0554319i
\(549\) −0.497463 + 5.57225i −0.0212312 + 0.237818i
\(550\) −7.13464 3.25828i −0.304222 0.138934i
\(551\) 14.8359 0.632032
\(552\) −4.22177 7.15379i −0.179690 0.304485i
\(553\) −11.2974 −0.480414
\(554\) −2.60339 1.18893i −0.110608 0.0505128i
\(555\) 20.8137 + 3.94506i 0.883494 + 0.167459i
\(556\) 6.05162 + 6.98395i 0.256646 + 0.296185i
\(557\) 34.8715 22.4106i 1.47755 0.949566i 0.480177 0.877171i \(-0.340572\pi\)
0.997376 0.0723944i \(-0.0230640\pi\)
\(558\) 14.9224 + 8.49328i 0.631714 + 0.359549i
\(559\) 2.84574 + 0.409155i 0.120362 + 0.0173054i
\(560\) 0.565051 + 1.92439i 0.0238777 + 0.0813201i
\(561\) 7.71384 15.0766i 0.325679 0.636535i
\(562\) 15.9154 2.28829i 0.671351 0.0965257i
\(563\) 1.33950 + 2.93310i 0.0564532 + 0.123615i 0.935756 0.352647i \(-0.114718\pi\)
−0.879303 + 0.476263i \(0.841991\pi\)
\(564\) −3.38236 5.81696i −0.142423 0.244938i
\(565\) 2.62715 + 18.2722i 0.110525 + 0.768718i
\(566\) 1.81166 + 1.16428i 0.0761496 + 0.0489384i
\(567\) 8.51069 + 10.5520i 0.357415 + 0.443143i
\(568\) 0.426569 2.96685i 0.0178985 0.124486i
\(569\) −22.2924 + 25.7268i −0.934548 + 1.07853i 0.0622101 + 0.998063i \(0.480185\pi\)
−0.996758 + 0.0804623i \(0.974360\pi\)
\(570\) 8.26338 + 10.4414i 0.346115 + 0.437342i
\(571\) −4.48979 + 3.89042i −0.187892 + 0.162809i −0.743727 0.668483i \(-0.766944\pi\)
0.555836 + 0.831292i \(0.312398\pi\)
\(572\) −2.82791 0.830350i −0.118241 0.0347187i
\(573\) −32.0321 10.9761i −1.33816 0.458531i
\(574\) 17.6170i 0.735317i
\(575\) −15.4761 + 0.100015i −0.645398 + 0.00417091i
\(576\) 2.94223 0.585891i 0.122593 0.0244121i
\(577\) −7.37948 + 16.1588i −0.307212 + 0.672700i −0.998768 0.0496227i \(-0.984198\pi\)
0.691556 + 0.722323i \(0.256925\pi\)
\(578\) 0.230063 0.783523i 0.00956937 0.0325903i
\(579\) −2.80339 + 2.95830i −0.116505 + 0.122943i
\(580\) 1.84977 + 2.87830i 0.0768075 + 0.119515i
\(581\) −8.26057 7.15782i −0.342706 0.296957i
\(582\) −29.2827 1.30451i −1.21381 0.0540738i
\(583\) −17.5259 + 5.14608i −0.725851 + 0.213129i
\(584\) −7.19166 + 11.1904i −0.297593 + 0.463063i
\(585\) 1.61245 + 4.56762i 0.0666666 + 0.188848i
\(586\) 26.2672 11.9958i 1.08509 0.495543i
\(587\) 21.6172 9.87223i 0.892236 0.407471i 0.0840938 0.996458i \(-0.473200\pi\)
0.808142 + 0.588987i \(0.200473\pi\)
\(588\) −7.95761 + 1.95647i −0.328166 + 0.0806835i
\(589\) 17.8655 27.7992i 0.736133 1.14545i
\(590\) −2.32589 + 0.682944i −0.0957555 + 0.0281164i
\(591\) 0.713120 16.0076i 0.0293338 0.658463i
\(592\) −6.94200 6.01527i −0.285314 0.247226i
\(593\) 19.8367 + 30.8665i 0.814595 + 1.26754i 0.960512 + 0.278238i \(0.0897505\pi\)
−0.145917 + 0.989297i \(0.546613\pi\)
\(594\) −10.6871 6.72948i −0.438499 0.276114i
\(595\) −2.27312 + 7.74153i −0.0931888 + 0.317372i
\(596\) 0.929742 2.03585i 0.0380837 0.0833917i
\(597\) −22.9060 + 2.25848i −0.937480 + 0.0924335i
\(598\) −5.75086 + 0.864817i −0.235170 + 0.0353650i
\(599\) 3.46791i 0.141695i −0.997487 0.0708474i \(-0.977430\pi\)
0.997487 0.0708474i \(-0.0225703\pi\)
\(600\) 1.81184 5.28762i 0.0739681 0.215866i
\(601\) 9.02985 + 2.65140i 0.368335 + 0.108153i 0.460662 0.887576i \(-0.347612\pi\)
−0.0923264 + 0.995729i \(0.529430\pi\)
\(602\) 2.69894 2.33865i 0.110001 0.0953162i
\(603\) −20.4606 21.1954i −0.833219 0.863144i
\(604\) 7.91339 9.13254i 0.321991 0.371598i
\(605\) 0.965014 6.71182i 0.0392334 0.272874i
\(606\) −0.942972 2.33456i −0.0383056 0.0948351i
\(607\) 29.7961 + 19.1488i 1.20939 + 0.777226i 0.980556 0.196240i \(-0.0628732\pi\)
0.228831 + 0.973466i \(0.426510\pi\)
\(608\) −0.821682 5.71492i −0.0333236 0.231771i
\(609\) 5.79536 3.36980i 0.234840 0.136551i
\(610\) 1.03149 + 2.25864i 0.0417636 + 0.0914496i
\(611\) −4.66296 + 0.670432i −0.188643 + 0.0271228i
\(612\) 11.2315 + 4.41633i 0.454007 + 0.178519i
\(613\) −3.06093 10.4246i −0.123630 0.421045i 0.874298 0.485390i \(-0.161322\pi\)
−0.997928 + 0.0643452i \(0.979504\pi\)
\(614\) 9.01695 + 1.29644i 0.363894 + 0.0523201i
\(615\) 15.5784 22.0200i 0.628181 0.887932i
\(616\) −3.07985 + 1.97930i −0.124091 + 0.0797482i
\(617\) 7.03315 + 8.11669i 0.283144 + 0.326765i 0.879450 0.475992i \(-0.157911\pi\)
−0.596306 + 0.802757i \(0.703365\pi\)
\(618\) 4.04577 21.3451i 0.162745 0.858624i
\(619\) −25.0529 11.4413i −1.00696 0.459864i −0.157502 0.987519i \(-0.550344\pi\)
−0.849459 + 0.527655i \(0.823071\pi\)
\(620\) 7.62078 0.306058
\(621\) −24.7189 3.15869i −0.991934 0.126754i
\(622\) 11.7597 0.471522
\(623\) −11.2445 5.13520i −0.450503 0.205738i
\(624\) 0.391133 2.06358i 0.0156579 0.0826092i
\(625\) −1.01449 1.17078i −0.0405795 0.0468312i
\(626\) 3.58887 2.30643i 0.143440 0.0921833i
\(627\) −14.0378 + 19.8424i −0.560617 + 0.792431i
\(628\) 9.67970 + 1.39173i 0.386262 + 0.0555361i
\(629\) −10.4107 35.4555i −0.415100 1.41370i
\(630\) 5.59955 + 2.20179i 0.223091 + 0.0877215i
\(631\) 45.4113 6.52916i 1.80779 0.259922i 0.845900 0.533342i \(-0.179064\pi\)
0.961895 + 0.273421i \(0.0881551\pi\)
\(632\) 3.11571 + 6.82246i 0.123936 + 0.271383i
\(633\) 10.0966 5.87079i 0.401302 0.233343i
\(634\) 0.754752 + 5.24941i 0.0299750 + 0.208481i
\(635\) −20.4727 13.1570i −0.812432 0.522119i
\(636\) −4.87502 12.0693i −0.193307 0.478580i
\(637\) −0.816473 + 5.67869i −0.0323498 + 0.224998i
\(638\) −4.08988 + 4.71997i −0.161920 + 0.186865i
\(639\) −6.24523 6.46953i −0.247057 0.255931i
\(640\) 1.00630 0.871960i 0.0397773 0.0344672i
\(641\) −36.5656 10.7366i −1.44425 0.424071i −0.536616 0.843826i \(-0.680298\pi\)
−0.907637 + 0.419755i \(0.862116\pi\)
\(642\) 3.70695 10.8182i 0.146302 0.426962i
\(643\) 11.1469i 0.439592i −0.975546 0.219796i \(-0.929461\pi\)
0.975546 0.219796i \(-0.0705392\pi\)
\(644\) −3.86614 + 6.10217i −0.152347 + 0.240459i
\(645\) 5.44153 0.536523i 0.214260 0.0211256i
\(646\) 9.64874 21.1278i 0.379625 0.831262i
\(647\) −10.3710 + 35.3203i −0.407726 + 1.38859i 0.458394 + 0.888749i \(0.348425\pi\)
−0.866120 + 0.499837i \(0.833393\pi\)
\(648\) 4.02516 8.04973i 0.158123 0.316223i
\(649\) −2.39226 3.72243i −0.0939045 0.146118i
\(650\) −2.95739 2.56260i −0.115998 0.100513i
\(651\) 0.664540 14.9171i 0.0260454 0.584647i
\(652\) −16.3449 + 4.79930i −0.640117 + 0.187955i
\(653\) 20.3058 31.5964i 0.794627 1.23646i −0.173209 0.984885i \(-0.555414\pi\)
0.967837 0.251579i \(-0.0809499\pi\)
\(654\) 31.2089 7.67307i 1.22037 0.300041i
\(655\) 24.4836 11.1813i 0.956654 0.436889i
\(656\) −10.6388 + 4.85859i −0.415377 + 0.189696i
\(657\) 13.2842 + 37.6303i 0.518264 + 1.46810i
\(658\) −3.16367 + 4.92277i −0.123333 + 0.191909i
\(659\) −1.35956 + 0.399202i −0.0529609 + 0.0155507i −0.308106 0.951352i \(-0.599695\pi\)
0.255145 + 0.966903i \(0.417877\pi\)
\(660\) −5.59986 0.249468i −0.217974 0.00971052i
\(661\) 9.66401 + 8.37391i 0.375886 + 0.325707i 0.822231 0.569154i \(-0.192729\pi\)
−0.446345 + 0.894861i \(0.647274\pi\)
\(662\) −6.67562 10.3875i −0.259455 0.403720i
\(663\) 5.81181 6.13297i 0.225712 0.238185i
\(664\) −2.04440 + 6.96260i −0.0793382 + 0.270201i
\(665\) 4.81045 10.5334i 0.186541 0.408469i
\(666\) −27.0261 + 5.38175i −1.04724 + 0.208539i
\(667\) −3.39538 + 11.8463i −0.131470 + 0.458689i
\(668\) 23.1641i 0.896245i
\(669\) 45.4215 + 15.5640i 1.75610 + 0.601740i
\(670\) −12.5458 3.68378i −0.484686 0.142317i
\(671\) −3.42540 + 2.96812i −0.132236 + 0.114583i
\(672\) −1.61905 2.04578i −0.0624561 0.0789178i
\(673\) 10.6998 12.3482i 0.412446 0.475988i −0.511075 0.859536i \(-0.670753\pi\)
0.923521 + 0.383548i \(0.125298\pi\)
\(674\) 2.70866 18.8392i 0.104334 0.725658i
\(675\) −9.19558 14.0220i −0.353938 0.539707i
\(676\) 9.69928 + 6.23335i 0.373049 + 0.239744i
\(677\) −1.69449 11.7854i −0.0651245 0.452951i −0.996126 0.0879359i \(-0.971973\pi\)
0.931002 0.365015i \(-0.118936\pi\)
\(678\) −12.0705 20.7588i −0.463566 0.797238i
\(679\) 10.5893 + 23.1873i 0.406379 + 0.889845i
\(680\) 5.30199 0.762312i 0.203322 0.0292333i
\(681\) −5.97859 + 11.6851i −0.229100 + 0.447774i
\(682\) 3.91912 + 13.3473i 0.150071 + 0.511094i
\(683\) 33.7209 + 4.84834i 1.29030 + 0.185517i 0.753080 0.657929i \(-0.228567\pi\)
0.537215 + 0.843445i \(0.319476\pi\)
\(684\) −15.0536 8.56796i −0.575587 0.327604i
\(685\) −1.92330 + 1.23603i −0.0734855 + 0.0472263i
\(686\) 11.5716 + 13.3543i 0.441805 + 0.509870i
\(687\) 33.7908 + 6.40475i 1.28920 + 0.244356i
\(688\) −2.15665 0.984908i −0.0822214 0.0375493i
\(689\) −9.11307 −0.347180
\(690\) −10.2285 + 4.20855i −0.389391 + 0.160217i
\(691\) 9.58351 0.364574 0.182287 0.983245i \(-0.441650\pi\)
0.182287 + 0.983245i \(0.441650\pi\)
\(692\) 8.20959 + 3.74919i 0.312082 + 0.142523i
\(693\) −0.976629 + 10.9396i −0.0370991 + 0.415560i
\(694\) 11.1669 + 12.8873i 0.423890 + 0.489195i
\(695\) 10.3514 6.65242i 0.392650 0.252341i
\(696\) −3.63332 2.57044i −0.137720 0.0974324i
\(697\) −46.5715 6.69597i −1.76402 0.253628i
\(698\) 7.39915 + 25.1992i 0.280062 + 0.953804i
\(699\) −24.5399 12.5557i −0.928186 0.474900i
\(700\) −4.81134 + 0.691766i −0.181852 + 0.0261463i
\(701\) −20.0434 43.8890i −0.757030 1.65767i −0.753304 0.657672i \(-0.771541\pi\)
−0.00372652 0.999993i \(-0.501186\pi\)
\(702\) −4.17008 4.72361i −0.157389 0.178281i
\(703\) 7.54762 + 52.4949i 0.284664 + 1.97988i
\(704\) 2.04469 + 1.31404i 0.0770620 + 0.0495247i
\(705\) −8.30750 + 3.35555i −0.312878 + 0.126377i
\(706\) 1.57132 10.9288i 0.0591373 0.411309i
\(707\) −1.43388 + 1.65479i −0.0539268 + 0.0622348i
\(708\) 2.47262 1.95685i 0.0929268 0.0735428i
\(709\) −21.8638 + 18.9451i −0.821111 + 0.711497i −0.960361 0.278760i \(-0.910076\pi\)
0.139250 + 0.990257i \(0.455531\pi\)
\(710\) −3.82938 1.12441i −0.143714 0.0421983i
\(711\) 21.8987 + 5.16993i 0.821267 + 0.193888i
\(712\) 8.20678i 0.307562i
\(713\) 18.1085 + 20.6275i 0.678169 + 0.772504i
\(714\) −1.02983 10.4447i −0.0385404 0.390884i
\(715\) −1.63025 + 3.56975i −0.0609679 + 0.133501i
\(716\) 6.22036 21.1846i 0.232466 0.791706i
\(717\) −0.568603 0.538828i −0.0212349 0.0201229i
\(718\) −11.9296 18.5628i −0.445207 0.692756i
\(719\) −0.924609 0.801178i −0.0344821 0.0298789i 0.637449 0.770492i \(-0.279990\pi\)
−0.671931 + 0.740613i \(0.734535\pi\)
\(720\) −0.214647 3.98879i −0.00799942 0.148653i
\(721\) −18.1278 + 5.32281i −0.675115 + 0.198232i
\(722\) −7.75037 + 12.0598i −0.288439 + 0.448820i
\(723\) −0.0630764 0.256553i −0.00234584 0.00954130i
\(724\) −2.58193 + 1.17913i −0.0959566 + 0.0438219i
\(725\) −7.54282 + 3.44469i −0.280133 + 0.127933i
\(726\) 2.10592 + 8.56548i 0.0781581 + 0.317895i
\(727\) 19.6959 30.6474i 0.730480 1.13665i −0.255014 0.966937i \(-0.582080\pi\)
0.985494 0.169711i \(-0.0542835\pi\)
\(728\) −1.75254 + 0.514594i −0.0649536 + 0.0190721i
\(729\) −11.6682 24.3486i −0.432155 0.901799i
\(730\) 13.3858 + 11.5989i 0.495432 + 0.429294i
\(731\) −5.15652 8.02371i −0.190721 0.296768i
\(732\) −2.34447 2.22170i −0.0866541 0.0821164i
\(733\) 5.61590 19.1260i 0.207428 0.706435i −0.788398 0.615165i \(-0.789089\pi\)
0.995826 0.0912699i \(-0.0290926\pi\)
\(734\) −5.29771 + 11.6004i −0.195542 + 0.428178i
\(735\) 1.07064 + 10.8586i 0.0394910 + 0.400526i
\(736\) 4.75133 + 0.651827i 0.175136 + 0.0240266i
\(737\) 23.8676i 0.879174i
\(738\) −8.06190 + 34.1485i −0.296763 + 1.25702i
\(739\) −3.64871 1.07136i −0.134220 0.0394105i 0.213933 0.976848i \(-0.431373\pi\)
−0.348153 + 0.937438i \(0.613191\pi\)
\(740\) −9.24340 + 8.00945i −0.339794 + 0.294433i
\(741\) −9.50901 + 7.52549i −0.349322 + 0.276456i
\(742\) −7.41296 + 8.55501i −0.272138 + 0.314064i
\(743\) 1.64081 11.4121i 0.0601953 0.418668i −0.937335 0.348430i \(-0.886715\pi\)
0.997530 0.0702381i \(-0.0223759\pi\)
\(744\) −9.19167 + 3.71268i −0.336983 + 0.136114i
\(745\) −2.50700 1.61115i −0.0918495 0.0590281i
\(746\) 0.354451 + 2.46526i 0.0129774 + 0.0902597i
\(747\) 12.7366 + 17.6549i 0.466009 + 0.645958i
\(748\) 4.06178 + 8.89407i 0.148514 + 0.325199i
\(749\) −9.84380 + 1.41533i −0.359685 + 0.0517149i
\(750\) −16.8912 8.64227i −0.616780 0.315571i
\(751\) −9.22877 31.4303i −0.336763 1.14691i −0.937652 0.347576i \(-0.887005\pi\)
0.600889 0.799332i \(-0.294813\pi\)
\(752\) 3.84536 + 0.552879i 0.140226 + 0.0201614i
\(753\) 23.5126 + 16.6344i 0.856849 + 0.606190i
\(754\) −2.62128 + 1.68459i −0.0954613 + 0.0613492i
\(755\) −10.5368 12.1602i −0.383475 0.442553i
\(756\) −7.82647 + 0.0723286i −0.284646 + 0.00263057i
\(757\) 22.4650 + 10.2594i 0.816505 + 0.372885i 0.779479 0.626429i \(-0.215484\pi\)
0.0370266 + 0.999314i \(0.488211\pi\)
\(758\) −5.22844 −0.189905
\(759\) −12.6312 15.7502i −0.458482 0.571694i
\(760\) −7.68778 −0.278865
\(761\) −29.5520 13.4959i −1.07126 0.489228i −0.199871 0.979822i \(-0.564052\pi\)
−0.871388 + 0.490594i \(0.836780\pi\)
\(762\) 31.1025 + 5.89521i 1.12673 + 0.213561i
\(763\) −18.3027 21.1224i −0.662601 0.764683i
\(764\) 16.4460 10.5692i 0.594994 0.382380i
\(765\) 7.94888 13.9659i 0.287393 0.504937i
\(766\) −9.04371 1.30029i −0.326763 0.0469814i
\(767\) −0.621959 2.11820i −0.0224577 0.0764837i
\(768\) −0.788926 + 1.54195i −0.0284679 + 0.0556402i
\(769\) 36.9236 5.30882i 1.33150 0.191441i 0.560436 0.828198i \(-0.310634\pi\)
0.771064 + 0.636757i \(0.219725\pi\)
\(770\) 2.02503 + 4.43420i 0.0729771 + 0.159798i
\(771\) −4.29772 7.39120i −0.154779 0.266188i
\(772\) −0.334874 2.32910i