Properties

Label 168.2.v.a.107.2
Level $168$
Weight $2$
Character 168.107
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 107.2
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40124 - 0.191140i) q^{2} +(1.66017 + 0.493786i) q^{3} +(1.92693 + 0.535666i) q^{4} +(1.09212 - 1.89161i) q^{5} +(-2.23191 - 1.00924i) q^{6} +(-0.451847 - 2.60688i) q^{7} +(-2.59770 - 1.11891i) q^{8} +(2.51235 + 1.63954i) q^{9} +O(q^{10})\) \(q+(-1.40124 - 0.191140i) q^{2} +(1.66017 + 0.493786i) q^{3} +(1.92693 + 0.535666i) q^{4} +(1.09212 - 1.89161i) q^{5} +(-2.23191 - 1.00924i) q^{6} +(-0.451847 - 2.60688i) q^{7} +(-2.59770 - 1.11891i) q^{8} +(2.51235 + 1.63954i) q^{9} +(-1.89188 + 2.44184i) q^{10} +(-1.45052 + 0.837460i) q^{11} +(2.93453 + 1.84079i) q^{12} +1.56085i q^{13} +(0.134864 + 3.73923i) q^{14} +(2.74716 - 2.60112i) q^{15} +(3.42612 + 2.06438i) q^{16} +(-0.278795 + 0.160963i) q^{17} +(-3.20702 - 2.77760i) q^{18} +(2.87437 - 4.97856i) q^{19} +(3.11771 - 3.05999i) q^{20} +(0.537096 - 4.55099i) q^{21} +(2.19260 - 0.896227i) q^{22} +(-3.26717 + 5.65891i) q^{23} +(-3.76013 - 3.14029i) q^{24} +(0.114544 + 0.198397i) q^{25} +(0.298342 - 2.18713i) q^{26} +(3.36136 + 3.96248i) q^{27} +(0.525740 - 5.26532i) q^{28} +7.04205 q^{29} +(-4.34660 + 3.11970i) q^{30} +(-7.76983 + 4.48591i) q^{31} +(-4.40622 - 3.54756i) q^{32} +(-2.82165 + 0.674082i) q^{33} +(0.421425 - 0.172258i) q^{34} +(-5.42467 - 1.99231i) q^{35} +(3.96288 + 4.50506i) q^{36} +(0.946173 + 0.546273i) q^{37} +(-4.97929 + 6.42674i) q^{38} +(-0.770727 + 2.59129i) q^{39} +(-4.95354 + 3.69185i) q^{40} +3.44933i q^{41} +(-1.62248 + 6.27436i) q^{42} -11.6570 q^{43} +(-3.24366 + 0.836731i) q^{44} +(5.84516 - 2.96181i) q^{45} +(5.65973 - 7.30498i) q^{46} +(-2.25371 + 3.90354i) q^{47} +(4.66860 + 5.11900i) q^{48} +(-6.59167 + 2.35583i) q^{49} +(-0.122582 - 0.299895i) q^{50} +(-0.542330 + 0.129561i) q^{51} +(-0.836097 + 3.00766i) q^{52} +(-4.42876 - 7.67084i) q^{53} +(-3.95267 - 6.19487i) q^{54} +3.65843i q^{55} +(-1.74310 + 7.27747i) q^{56} +(7.23030 - 6.84595i) q^{57} +(-9.86758 - 1.34602i) q^{58} +(5.37016 - 3.10046i) q^{59} +(6.68692 - 3.54063i) q^{60} +(3.80578 + 2.19727i) q^{61} +(11.7448 - 4.80070i) q^{62} +(3.13889 - 7.29023i) q^{63} +(5.49608 + 5.81318i) q^{64} +(2.95253 + 1.70464i) q^{65} +(4.08264 - 0.405217i) q^{66} +(0.716072 + 1.24027i) q^{67} +(-0.623442 + 0.160822i) q^{68} +(-8.21836 + 7.78149i) q^{69} +(7.22044 + 3.82858i) q^{70} -6.37080 q^{71} +(-4.69184 - 7.07013i) q^{72} +(-4.49012 - 7.77711i) q^{73} +(-1.22140 - 0.946310i) q^{74} +(0.0921980 + 0.385933i) q^{75} +(8.20557 - 8.05364i) q^{76} +(2.83858 + 3.40294i) q^{77} +(1.57527 - 3.48369i) q^{78} +(-3.58799 - 2.07153i) q^{79} +(7.64675 - 4.22633i) q^{80} +(3.62382 + 8.23820i) q^{81} +(0.659306 - 4.83333i) q^{82} -9.06459i q^{83} +(3.47276 - 8.48174i) q^{84} +0.703162i q^{85} +(16.3343 + 2.22813i) q^{86} +(11.6910 + 3.47726i) q^{87} +(4.70507 - 0.552465i) q^{88} +(4.57586 + 2.64187i) q^{89} +(-8.75657 + 3.03295i) q^{90} +(4.06896 - 0.705268i) q^{91} +(-9.32690 + 9.15421i) q^{92} +(-15.1143 + 3.61076i) q^{93} +(3.90411 - 5.03901i) q^{94} +(-6.27833 - 10.8744i) q^{95} +(-5.56336 - 8.06530i) q^{96} +4.23153 q^{97} +(9.68678 - 2.04113i) q^{98} +(-5.01728 - 0.274197i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9} + 6 q^{10} + 10 q^{12} - 10 q^{16} - 10 q^{18} - 4 q^{19} - 20 q^{22} - 8 q^{24} - 16 q^{25} - 8 q^{27} - 22 q^{28} - 12 q^{30} - 14 q^{33} - 56 q^{34} + 4 q^{36} + 14 q^{40} - 8 q^{42} - 16 q^{43} - 12 q^{46} + 64 q^{48} - 16 q^{49} - 34 q^{51} - 8 q^{52} + 32 q^{54} + 4 q^{57} - 18 q^{58} + 40 q^{60} + 4 q^{64} - 20 q^{66} - 36 q^{67} - 42 q^{70} + 22 q^{72} + 4 q^{73} + 104 q^{76} + 28 q^{78} - 10 q^{81} + 52 q^{82} + 4 q^{84} + 46 q^{88} + 140 q^{90} + 72 q^{91} - 46 q^{96} - 32 q^{97} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40124 0.191140i −0.990824 0.135157i
\(3\) 1.66017 + 0.493786i 0.958502 + 0.285087i
\(4\) 1.92693 + 0.535666i 0.963465 + 0.267833i
\(5\) 1.09212 1.89161i 0.488411 0.845953i −0.511500 0.859283i \(-0.670910\pi\)
0.999911 + 0.0133302i \(0.00424327\pi\)
\(6\) −2.23191 1.00924i −0.911175 0.412019i
\(7\) −0.451847 2.60688i −0.170782 0.985309i
\(8\) −2.59770 1.11891i −0.918425 0.395594i
\(9\) 2.51235 + 1.63954i 0.837450 + 0.546513i
\(10\) −1.89188 + 2.44184i −0.598266 + 0.772179i
\(11\) −1.45052 + 0.837460i −0.437349 + 0.252504i −0.702473 0.711711i \(-0.747921\pi\)
0.265123 + 0.964215i \(0.414587\pi\)
\(12\) 2.93453 + 1.84079i 0.847127 + 0.531390i
\(13\) 1.56085i 0.432903i 0.976293 + 0.216452i \(0.0694483\pi\)
−0.976293 + 0.216452i \(0.930552\pi\)
\(14\) 0.134864 + 3.73923i 0.0360440 + 0.999350i
\(15\) 2.74716 2.60112i 0.709313 0.671608i
\(16\) 3.42612 + 2.06438i 0.856531 + 0.516096i
\(17\) −0.278795 + 0.160963i −0.0676178 + 0.0390392i −0.533428 0.845846i \(-0.679096\pi\)
0.465810 + 0.884885i \(0.345763\pi\)
\(18\) −3.20702 2.77760i −0.755901 0.654686i
\(19\) 2.87437 4.97856i 0.659427 1.14216i −0.321337 0.946965i \(-0.604132\pi\)
0.980764 0.195196i \(-0.0625343\pi\)
\(20\) 3.11771 3.05999i 0.697142 0.684234i
\(21\) 0.537096 4.55099i 0.117204 0.993108i
\(22\) 2.19260 0.896227i 0.467464 0.191076i
\(23\) −3.26717 + 5.65891i −0.681252 + 1.17996i 0.293346 + 0.956006i \(0.405231\pi\)
−0.974599 + 0.223958i \(0.928102\pi\)
\(24\) −3.76013 3.14029i −0.767533 0.641009i
\(25\) 0.114544 + 0.198397i 0.0229089 + 0.0396793i
\(26\) 0.298342 2.18713i 0.0585098 0.428931i
\(27\) 3.36136 + 3.96248i 0.646894 + 0.762580i
\(28\) 0.525740 5.26532i 0.0993556 0.995052i
\(29\) 7.04205 1.30768 0.653838 0.756635i \(-0.273158\pi\)
0.653838 + 0.756635i \(0.273158\pi\)
\(30\) −4.34660 + 3.11970i −0.793577 + 0.569577i
\(31\) −7.76983 + 4.48591i −1.39550 + 0.805694i −0.993917 0.110128i \(-0.964874\pi\)
−0.401585 + 0.915822i \(0.631541\pi\)
\(32\) −4.40622 3.54756i −0.778918 0.627126i
\(33\) −2.82165 + 0.674082i −0.491186 + 0.117343i
\(34\) 0.421425 0.172258i 0.0722738 0.0295419i
\(35\) −5.42467 1.99231i −0.916937 0.336762i
\(36\) 3.96288 + 4.50506i 0.660480 + 0.750844i
\(37\) 0.946173 + 0.546273i 0.155550 + 0.0898068i 0.575755 0.817623i \(-0.304708\pi\)
−0.420205 + 0.907429i \(0.638042\pi\)
\(38\) −4.97929 + 6.42674i −0.807747 + 1.04255i
\(39\) −0.770727 + 2.59129i −0.123415 + 0.414938i
\(40\) −4.95354 + 3.69185i −0.783224 + 0.583732i
\(41\) 3.44933i 0.538694i 0.963043 + 0.269347i \(0.0868079\pi\)
−0.963043 + 0.269347i \(0.913192\pi\)
\(42\) −1.62248 + 6.27436i −0.250354 + 0.968154i
\(43\) −11.6570 −1.77768 −0.888841 0.458215i \(-0.848489\pi\)
−0.888841 + 0.458215i \(0.848489\pi\)
\(44\) −3.24366 + 0.836731i −0.489000 + 0.126142i
\(45\) 5.84516 2.96181i 0.871345 0.441521i
\(46\) 5.65973 7.30498i 0.834481 1.07706i
\(47\) −2.25371 + 3.90354i −0.328737 + 0.569390i −0.982262 0.187516i \(-0.939956\pi\)
0.653524 + 0.756906i \(0.273290\pi\)
\(48\) 4.66860 + 5.11900i 0.673854 + 0.738865i
\(49\) −6.59167 + 2.35583i −0.941667 + 0.336546i
\(50\) −0.122582 0.299895i −0.0173357 0.0424115i
\(51\) −0.542330 + 0.129561i −0.0759413 + 0.0181421i
\(52\) −0.836097 + 3.00766i −0.115946 + 0.417087i
\(53\) −4.42876 7.67084i −0.608337 1.05367i −0.991515 0.129996i \(-0.958504\pi\)
0.383177 0.923675i \(-0.374830\pi\)
\(54\) −3.95267 6.19487i −0.537890 0.843015i
\(55\) 3.65843i 0.493303i
\(56\) −1.74310 + 7.27747i −0.232932 + 0.972493i
\(57\) 7.23030 6.84595i 0.957677 0.906769i
\(58\) −9.86758 1.34602i −1.29568 0.176741i
\(59\) 5.37016 3.10046i 0.699135 0.403646i −0.107890 0.994163i \(-0.534409\pi\)
0.807025 + 0.590517i \(0.201076\pi\)
\(60\) 6.68692 3.54063i 0.863278 0.457093i
\(61\) 3.80578 + 2.19727i 0.487280 + 0.281331i 0.723445 0.690382i \(-0.242557\pi\)
−0.236165 + 0.971713i \(0.575891\pi\)
\(62\) 11.7448 4.80070i 1.49159 0.609690i
\(63\) 3.13889 7.29023i 0.395463 0.918482i
\(64\) 5.49608 + 5.81318i 0.687010 + 0.726648i
\(65\) 2.95253 + 1.70464i 0.366216 + 0.211435i
\(66\) 4.08264 0.405217i 0.502538 0.0498788i
\(67\) 0.716072 + 1.24027i 0.0874821 + 0.151523i 0.906446 0.422321i \(-0.138785\pi\)
−0.818964 + 0.573845i \(0.805451\pi\)
\(68\) −0.623442 + 0.160822i −0.0756034 + 0.0195026i
\(69\) −8.21836 + 7.78149i −0.989374 + 0.936781i
\(70\) 7.22044 + 3.82858i 0.863008 + 0.457602i
\(71\) −6.37080 −0.756074 −0.378037 0.925790i \(-0.623401\pi\)
−0.378037 + 0.925790i \(0.623401\pi\)
\(72\) −4.69184 7.07013i −0.552938 0.833222i
\(73\) −4.49012 7.77711i −0.525528 0.910242i −0.999558 0.0297328i \(-0.990534\pi\)
0.474030 0.880509i \(-0.342799\pi\)
\(74\) −1.22140 0.946310i −0.141985 0.110006i
\(75\) 0.0921980 + 0.385933i 0.0106461 + 0.0445637i
\(76\) 8.20557 8.05364i 0.941243 0.923816i
\(77\) 2.83858 + 3.40294i 0.323486 + 0.387801i
\(78\) 1.57527 3.48369i 0.178364 0.394451i
\(79\) −3.58799 2.07153i −0.403681 0.233065i 0.284390 0.958709i \(-0.408209\pi\)
−0.688071 + 0.725643i \(0.741542\pi\)
\(80\) 7.64675 4.22633i 0.854932 0.472518i
\(81\) 3.62382 + 8.23820i 0.402647 + 0.915356i
\(82\) 0.659306 4.83333i 0.0728082 0.533751i
\(83\) 9.06459i 0.994968i −0.867473 0.497484i \(-0.834257\pi\)
0.867473 0.497484i \(-0.165743\pi\)
\(84\) 3.47276 8.48174i 0.378909 0.925434i
\(85\) 0.703162i 0.0762687i
\(86\) 16.3343 + 2.22813i 1.76137 + 0.240266i
\(87\) 11.6910 + 3.47726i 1.25341 + 0.372802i
\(88\) 4.70507 0.552465i 0.501562 0.0588929i
\(89\) 4.57586 + 2.64187i 0.485040 + 0.280038i 0.722515 0.691356i \(-0.242986\pi\)
−0.237474 + 0.971394i \(0.576320\pi\)
\(90\) −8.75657 + 3.03295i −0.923024 + 0.319701i
\(91\) 4.06896 0.705268i 0.426543 0.0739322i
\(92\) −9.32690 + 9.15421i −0.972397 + 0.954392i
\(93\) −15.1143 + 3.61076i −1.56728 + 0.374419i
\(94\) 3.90411 5.03901i 0.402678 0.519734i
\(95\) −6.27833 10.8744i −0.644143 1.11569i
\(96\) −5.56336 8.06530i −0.567808 0.823161i
\(97\) 4.23153 0.429647 0.214823 0.976653i \(-0.431082\pi\)
0.214823 + 0.976653i \(0.431082\pi\)
\(98\) 9.68678 2.04113i 0.978513 0.206186i
\(99\) −5.01728 0.274197i −0.504255 0.0275578i
\(100\) 0.114445 + 0.443654i 0.0114445 + 0.0443654i
\(101\) 2.47136 + 4.28052i 0.245909 + 0.425927i 0.962387 0.271683i \(-0.0875802\pi\)
−0.716478 + 0.697610i \(0.754247\pi\)
\(102\) 0.784697 0.0778840i 0.0776966 0.00771167i
\(103\) 15.8817 + 9.16928i 1.56487 + 0.903476i 0.996752 + 0.0805264i \(0.0256601\pi\)
0.568114 + 0.822950i \(0.307673\pi\)
\(104\) 1.74646 4.05463i 0.171254 0.397589i
\(105\) −8.02212 5.98621i −0.782879 0.584194i
\(106\) 4.73954 + 11.5952i 0.460344 + 1.12622i
\(107\) −3.83045 2.21151i −0.370303 0.213795i 0.303288 0.952899i \(-0.401916\pi\)
−0.673591 + 0.739104i \(0.735249\pi\)
\(108\) 4.35453 + 9.43600i 0.419015 + 0.907979i
\(109\) −7.04986 + 4.07024i −0.675255 + 0.389858i −0.798065 0.602572i \(-0.794143\pi\)
0.122810 + 0.992430i \(0.460809\pi\)
\(110\) 0.699274 5.12633i 0.0666732 0.488776i
\(111\) 1.30107 + 1.37411i 0.123492 + 0.130425i
\(112\) 3.83352 9.86429i 0.362234 0.932087i
\(113\) 13.4000i 1.26056i −0.776367 0.630281i \(-0.782940\pi\)
0.776367 0.630281i \(-0.217060\pi\)
\(114\) −11.4399 + 8.21080i −1.07145 + 0.769012i
\(115\) 7.13629 + 12.3604i 0.665463 + 1.15262i
\(116\) 13.5695 + 3.77219i 1.25990 + 0.350239i
\(117\) −2.55908 + 3.92141i −0.236587 + 0.362535i
\(118\) −8.11749 + 3.31803i −0.747275 + 0.305449i
\(119\) 0.545583 + 0.654056i 0.0500136 + 0.0599572i
\(120\) −10.0467 + 3.68312i −0.917136 + 0.336221i
\(121\) −4.09732 + 7.09677i −0.372484 + 0.645161i
\(122\) −4.91281 3.80633i −0.444785 0.344609i
\(123\) −1.70323 + 5.72648i −0.153575 + 0.516339i
\(124\) −17.3749 + 4.48201i −1.56031 + 0.402496i
\(125\) 11.4216 1.02158
\(126\) −5.79178 + 9.61537i −0.515973 + 0.856605i
\(127\) 12.5356i 1.11236i −0.831063 0.556178i \(-0.812267\pi\)
0.831063 0.556178i \(-0.187733\pi\)
\(128\) −6.59018 9.19617i −0.582495 0.812834i
\(129\) −19.3527 5.75608i −1.70391 0.506795i
\(130\) −3.81136 2.95295i −0.334279 0.258991i
\(131\) 14.8145 + 8.55318i 1.29435 + 0.747295i 0.979423 0.201820i \(-0.0646855\pi\)
0.314930 + 0.949115i \(0.398019\pi\)
\(132\) −5.79820 0.212553i −0.504669 0.0185003i
\(133\) −14.2773 5.24361i −1.23800 0.454678i
\(134\) −0.766320 1.87479i −0.0662000 0.161957i
\(135\) 11.1665 2.03086i 0.961057 0.174789i
\(136\) 0.904329 0.106185i 0.0775456 0.00910533i
\(137\) −17.9399 + 10.3576i −1.53271 + 0.884909i −0.533472 + 0.845818i \(0.679113\pi\)
−0.999236 + 0.0390917i \(0.987554\pi\)
\(138\) 13.0032 9.33284i 1.10691 0.794465i
\(139\) 1.27255 0.107936 0.0539682 0.998543i \(-0.482813\pi\)
0.0539682 + 0.998543i \(0.482813\pi\)
\(140\) −9.38575 6.74486i −0.793241 0.570045i
\(141\) −5.66906 + 5.36770i −0.477421 + 0.452042i
\(142\) 8.92700 + 1.21772i 0.749137 + 0.102189i
\(143\) −1.30715 2.26406i −0.109310 0.189330i
\(144\) 5.22299 + 10.8037i 0.435249 + 0.900310i
\(145\) 7.69077 13.3208i 0.638684 1.10623i
\(146\) 4.80520 + 11.7558i 0.397681 + 0.972918i
\(147\) −12.1066 + 0.656207i −0.998534 + 0.0541230i
\(148\) 1.53059 + 1.55946i 0.125814 + 0.128187i
\(149\) 2.47136 4.28052i 0.202461 0.350674i −0.746859 0.664982i \(-0.768439\pi\)
0.949321 + 0.314308i \(0.101773\pi\)
\(150\) −0.0554239 0.558407i −0.00452534 0.0455937i
\(151\) 5.48605 3.16737i 0.446448 0.257757i −0.259881 0.965641i \(-0.583683\pi\)
0.706329 + 0.707884i \(0.250350\pi\)
\(152\) −13.0373 + 9.71664i −1.05747 + 0.788124i
\(153\) −0.964337 0.0527015i −0.0779620 0.00426066i
\(154\) −3.32708 5.31089i −0.268104 0.427964i
\(155\) 19.5966i 1.57404i
\(156\) −2.87320 + 4.58038i −0.230040 + 0.366724i
\(157\) 2.09256 1.20814i 0.167004 0.0964199i −0.414168 0.910200i \(-0.635928\pi\)
0.581172 + 0.813780i \(0.302594\pi\)
\(158\) 4.63168 + 3.58851i 0.368476 + 0.285487i
\(159\) −3.56476 14.9218i −0.282704 1.18337i
\(160\) −11.5227 + 4.46049i −0.910952 + 0.352632i
\(161\) 16.2284 + 5.96017i 1.27897 + 0.469727i
\(162\) −3.50318 12.2363i −0.275236 0.961377i
\(163\) 4.46077 7.72628i 0.349395 0.605169i −0.636747 0.771072i \(-0.719721\pi\)
0.986142 + 0.165903i \(0.0530539\pi\)
\(164\) −1.84769 + 6.64661i −0.144280 + 0.519013i
\(165\) −1.80648 + 6.07363i −0.140634 + 0.472832i
\(166\) −1.73261 + 12.7016i −0.134477 + 0.985839i
\(167\) 7.01131 0.542551 0.271276 0.962502i \(-0.412555\pi\)
0.271276 + 0.962502i \(0.412555\pi\)
\(168\) −6.48736 + 11.2211i −0.500511 + 0.865730i
\(169\) 10.5637 0.812595
\(170\) 0.134403 0.985297i 0.0103082 0.0755688i
\(171\) 15.3840 7.79525i 1.17644 0.596118i
\(172\) −22.4623 6.24428i −1.71274 0.476122i
\(173\) −7.11660 + 12.3263i −0.541065 + 0.937152i 0.457778 + 0.889066i \(0.348645\pi\)
−0.998843 + 0.0480854i \(0.984688\pi\)
\(174\) −15.7173 7.10710i −1.19152 0.538788i
\(175\) 0.465440 0.388249i 0.0351840 0.0293488i
\(176\) −6.69851 0.125195i −0.504919 0.00943693i
\(177\) 10.4464 2.49560i 0.785196 0.187581i
\(178\) −5.90690 4.57652i −0.442741 0.343025i
\(179\) 1.07613 0.621304i 0.0804338 0.0464384i −0.459244 0.888310i \(-0.651880\pi\)
0.539677 + 0.841872i \(0.318546\pi\)
\(180\) 12.8498 2.57615i 0.957764 0.192015i
\(181\) 20.9487i 1.55710i −0.627580 0.778552i \(-0.715954\pi\)
0.627580 0.778552i \(-0.284046\pi\)
\(182\) −5.83639 + 0.210504i −0.432622 + 0.0156036i
\(183\) 5.23327 + 5.52709i 0.386855 + 0.408574i
\(184\) 14.8189 11.0445i 1.09247 0.814209i
\(185\) 2.06667 1.19319i 0.151945 0.0877253i
\(186\) 21.8689 2.17057i 1.60351 0.159154i
\(187\) 0.269600 0.466960i 0.0197151 0.0341475i
\(188\) −6.43374 + 6.31461i −0.469228 + 0.460541i
\(189\) 8.81091 10.5531i 0.640899 0.767625i
\(190\) 6.71889 + 16.4376i 0.487440 + 1.19251i
\(191\) 12.2119 21.1516i 0.883621 1.53048i 0.0363339 0.999340i \(-0.488432\pi\)
0.847287 0.531136i \(-0.178235\pi\)
\(192\) 6.25398 + 12.3648i 0.451342 + 0.892351i
\(193\) 0.00662606 + 0.0114767i 0.000476954 + 0.000826109i 0.866264 0.499587i \(-0.166515\pi\)
−0.865787 + 0.500413i \(0.833182\pi\)
\(194\) −5.92938 0.808817i −0.425705 0.0580697i
\(195\) 4.05998 + 4.28792i 0.290741 + 0.307064i
\(196\) −13.9636 + 1.00858i −0.997402 + 0.0720413i
\(197\) 6.48422 0.461981 0.230991 0.972956i \(-0.425803\pi\)
0.230991 + 0.972956i \(0.425803\pi\)
\(198\) 6.97798 + 1.34322i 0.495904 + 0.0954584i
\(199\) 4.47013 2.58083i 0.316879 0.182950i −0.333121 0.942884i \(-0.608102\pi\)
0.650001 + 0.759934i \(0.274769\pi\)
\(200\) −0.0755638 0.643539i −0.00534317 0.0455051i
\(201\) 0.576375 + 2.41265i 0.0406543 + 0.170175i
\(202\) −2.64478 6.47039i −0.186086 0.455255i
\(203\) −3.18193 18.3578i −0.223328 1.28846i
\(204\) −1.11443 0.0408533i −0.0780259 0.00286031i
\(205\) 6.52478 + 3.76708i 0.455710 + 0.263104i
\(206\) −20.5014 15.8840i −1.42840 1.10669i
\(207\) −17.4863 + 8.86051i −1.21538 + 0.615848i
\(208\) −3.22220 + 5.34768i −0.223419 + 0.370795i
\(209\) 9.62870i 0.666031i
\(210\) 10.0967 + 9.92145i 0.696738 + 0.684645i
\(211\) −16.8357 −1.15902 −0.579509 0.814966i \(-0.696756\pi\)
−0.579509 + 0.814966i \(0.696756\pi\)
\(212\) −4.42491 17.1535i −0.303904 1.17811i
\(213\) −10.5766 3.14581i −0.724698 0.215547i
\(214\) 4.94466 + 3.83100i 0.338010 + 0.261882i
\(215\) −12.7309 + 22.0506i −0.868240 + 1.50384i
\(216\) −4.29813 14.0544i −0.292451 0.956280i
\(217\) 15.2050 + 18.2281i 1.03218 + 1.23740i
\(218\) 10.6565 4.35586i 0.721751 0.295016i
\(219\) −3.61415 15.1285i −0.244221 1.02229i
\(220\) −1.95970 + 7.04954i −0.132123 + 0.475280i
\(221\) −0.251239 0.435159i −0.0169002 0.0292720i
\(222\) −1.56046 2.17415i −0.104731 0.145919i
\(223\) 1.80170i 0.120651i 0.998179 + 0.0603254i \(0.0192138\pi\)
−0.998179 + 0.0603254i \(0.980786\pi\)
\(224\) −7.25713 + 13.0895i −0.484888 + 0.874576i
\(225\) −0.0375035 + 0.686242i −0.00250023 + 0.0457495i
\(226\) −2.56127 + 18.7765i −0.170373 + 1.24899i
\(227\) −10.0476 + 5.80096i −0.666879 + 0.385023i −0.794893 0.606749i \(-0.792473\pi\)
0.128014 + 0.991772i \(0.459140\pi\)
\(228\) 17.5994 9.31865i 1.16555 0.617142i
\(229\) 8.50697 + 4.91150i 0.562156 + 0.324561i 0.754010 0.656862i \(-0.228117\pi\)
−0.191854 + 0.981423i \(0.561450\pi\)
\(230\) −7.63706 18.6839i −0.503573 1.23198i
\(231\) 3.03220 + 7.05112i 0.199504 + 0.463930i
\(232\) −18.2931 7.87942i −1.20100 0.517309i
\(233\) −6.94161 4.00774i −0.454760 0.262556i 0.255079 0.966920i \(-0.417899\pi\)
−0.709838 + 0.704365i \(0.751232\pi\)
\(234\) 4.33542 5.00569i 0.283415 0.327232i
\(235\) 4.92265 + 8.52627i 0.321118 + 0.556193i
\(236\) 12.0087 3.09776i 0.781702 0.201647i
\(237\) −4.93380 5.21080i −0.320485 0.338478i
\(238\) −0.639475 1.02077i −0.0414510 0.0661667i
\(239\) −6.02441 −0.389686 −0.194843 0.980834i \(-0.562420\pi\)
−0.194843 + 0.980834i \(0.562420\pi\)
\(240\) 14.7818 3.24058i 0.954163 0.209179i
\(241\) 5.11917 + 8.86666i 0.329755 + 0.571152i 0.982463 0.186457i \(-0.0597006\pi\)
−0.652708 + 0.757609i \(0.726367\pi\)
\(242\) 7.09780 9.16109i 0.456264 0.588897i
\(243\) 1.94826 + 15.4662i 0.124981 + 0.992159i
\(244\) 6.15647 + 6.27261i 0.394128 + 0.401563i
\(245\) −2.74260 + 15.0417i −0.175218 + 0.960979i
\(246\) 3.48119 7.69860i 0.221953 0.490845i
\(247\) 7.77081 + 4.48648i 0.494445 + 0.285468i
\(248\) 25.2030 2.95931i 1.60039 0.187917i
\(249\) 4.47597 15.0488i 0.283653 0.953678i
\(250\) −16.0044 2.18313i −1.01220 0.138073i
\(251\) 9.97684i 0.629733i −0.949136 0.314866i \(-0.898040\pi\)
0.949136 0.314866i \(-0.101960\pi\)
\(252\) 9.95355 12.3664i 0.627014 0.779008i
\(253\) 10.9445i 0.688075i
\(254\) −2.39606 + 17.5654i −0.150342 + 1.10215i
\(255\) −0.347212 + 1.16737i −0.0217432 + 0.0731036i
\(256\) 7.47664 + 14.1457i 0.467290 + 0.884104i
\(257\) −17.1555 9.90475i −1.07013 0.617841i −0.141915 0.989879i \(-0.545326\pi\)
−0.928218 + 0.372038i \(0.878659\pi\)
\(258\) 26.0175 + 11.7647i 1.61978 + 0.732439i
\(259\) 0.996544 2.71339i 0.0619222 0.168602i
\(260\) 4.77619 + 4.86629i 0.296207 + 0.301795i
\(261\) 17.6921 + 11.5457i 1.09511 + 0.714662i
\(262\) −19.1238 14.8167i −1.18147 0.915379i
\(263\) 3.41780 + 5.91981i 0.210751 + 0.365031i 0.951950 0.306254i \(-0.0990758\pi\)
−0.741199 + 0.671285i \(0.765742\pi\)
\(264\) 8.08403 + 1.40611i 0.497538 + 0.0865400i
\(265\) −19.3470 −1.18847
\(266\) 19.0036 + 10.0765i 1.16519 + 0.617830i
\(267\) 6.29220 + 6.64546i 0.385077 + 0.406696i
\(268\) 0.715449 + 2.77350i 0.0437030 + 0.169418i
\(269\) −12.0822 20.9270i −0.736665 1.27594i −0.953989 0.299842i \(-0.903066\pi\)
0.217324 0.976099i \(-0.430267\pi\)
\(270\) −16.0351 + 0.711355i −0.975863 + 0.0432917i
\(271\) −15.2835 8.82392i −0.928405 0.536015i −0.0420983 0.999113i \(-0.513404\pi\)
−0.886307 + 0.463099i \(0.846738\pi\)
\(272\) −1.28748 0.0240629i −0.0780647 0.00145903i
\(273\) 7.10344 + 0.838329i 0.429919 + 0.0507380i
\(274\) 27.1178 11.0844i 1.63825 0.669634i
\(275\) −0.332299 0.191853i −0.0200384 0.0115692i
\(276\) −20.0045 + 10.5921i −1.20413 + 0.637569i
\(277\) 12.9250 7.46224i 0.776587 0.448363i −0.0586324 0.998280i \(-0.518674\pi\)
0.835219 + 0.549917i \(0.185341\pi\)
\(278\) −1.78314 0.243236i −0.106946 0.0145883i
\(279\) −26.8754 1.46875i −1.60899 0.0879320i
\(280\) 11.8624 + 11.2451i 0.708917 + 0.672026i
\(281\) 13.8890i 0.828547i −0.910152 0.414273i \(-0.864036\pi\)
0.910152 0.414273i \(-0.135964\pi\)
\(282\) 8.96968 6.43784i 0.534137 0.383368i
\(283\) 2.88865 + 5.00329i 0.171712 + 0.297415i 0.939019 0.343866i \(-0.111737\pi\)
−0.767306 + 0.641281i \(0.778403\pi\)
\(284\) −12.2761 3.41262i −0.728451 0.202502i
\(285\) −5.05350 21.1535i −0.299343 1.25303i
\(286\) 1.39888 + 3.42233i 0.0827175 + 0.202367i
\(287\) 8.99199 1.55857i 0.530780 0.0919994i
\(288\) −5.25362 16.1369i −0.309572 0.950876i
\(289\) −8.44818 + 14.6327i −0.496952 + 0.860746i
\(290\) −13.3227 + 17.1956i −0.782338 + 1.00976i
\(291\) 7.02508 + 2.08947i 0.411817 + 0.122487i
\(292\) −4.48621 17.3912i −0.262535 1.01774i
\(293\) −15.6381 −0.913587 −0.456794 0.889573i \(-0.651002\pi\)
−0.456794 + 0.889573i \(0.651002\pi\)
\(294\) 17.0896 + 1.39456i 0.996687 + 0.0813322i
\(295\) 13.5443i 0.788581i
\(296\) −1.84664 2.47774i −0.107334 0.144015i
\(297\) −8.19415 2.93267i −0.475473 0.170171i
\(298\) −4.28114 + 5.52564i −0.248000 + 0.320092i
\(299\) −8.83273 5.09958i −0.510810 0.294916i
\(300\) −0.0290721 + 0.793054i −0.00167848 + 0.0457870i
\(301\) 5.26720 + 30.3885i 0.303597 + 1.75157i
\(302\) −8.29267 + 3.38963i −0.477190 + 0.195052i
\(303\) 1.98922 + 8.32672i 0.114278 + 0.478358i
\(304\) 20.1256 11.1234i 1.15428 0.637968i
\(305\) 8.31274 4.79936i 0.475986 0.274811i
\(306\) 1.34119 + 0.258171i 0.0766708 + 0.0147587i
\(307\) 7.19887 0.410861 0.205430 0.978672i \(-0.434141\pi\)
0.205430 + 0.978672i \(0.434141\pi\)
\(308\) 3.64690 + 8.07776i 0.207801 + 0.460273i
\(309\) 21.8387 + 23.0647i 1.24236 + 1.31211i
\(310\) 3.74571 27.4595i 0.212742 1.55960i
\(311\) 4.35089 + 7.53597i 0.246717 + 0.427326i 0.962613 0.270881i \(-0.0873150\pi\)
−0.715896 + 0.698207i \(0.753982\pi\)
\(312\) 4.90154 5.86901i 0.277495 0.332267i
\(313\) 9.57541 16.5851i 0.541234 0.937445i −0.457600 0.889158i \(-0.651291\pi\)
0.998834 0.0482863i \(-0.0153760\pi\)
\(314\) −3.16309 + 1.29292i −0.178504 + 0.0729634i
\(315\) −10.3622 13.8994i −0.583844 0.783140i
\(316\) −5.80417 5.91366i −0.326510 0.332669i
\(317\) 1.83178 3.17274i 0.102883 0.178199i −0.809988 0.586446i \(-0.800527\pi\)
0.912871 + 0.408247i \(0.133860\pi\)
\(318\) 2.14292 + 21.5903i 0.120169 + 1.21073i
\(319\) −10.2147 + 5.89744i −0.571911 + 0.330193i
\(320\) 16.9987 4.04774i 0.950253 0.226275i
\(321\) −5.26720 5.56291i −0.293986 0.310491i
\(322\) −21.6006 11.4535i −1.20375 0.638279i
\(323\) 1.85067i 0.102974i
\(324\) 2.56992 + 17.8156i 0.142774 + 0.989755i
\(325\) −0.309668 + 0.178787i −0.0171773 + 0.00991732i
\(326\) −7.72741 + 9.97372i −0.427981 + 0.552393i
\(327\) −13.7138 + 3.27618i −0.758376 + 0.181173i
\(328\) 3.85949 8.96031i 0.213104 0.494751i
\(329\) 11.1944 + 4.11135i 0.617167 + 0.226666i
\(330\) 3.69223 8.16531i 0.203250 0.449485i
\(331\) 5.41365 9.37672i 0.297561 0.515391i −0.678016 0.735047i \(-0.737160\pi\)
0.975577 + 0.219656i \(0.0704934\pi\)
\(332\) 4.85560 17.4668i 0.266485 0.958617i
\(333\) 1.48148 + 2.92372i 0.0811847 + 0.160219i
\(334\) −9.82450 1.34014i −0.537573 0.0733294i
\(335\) 3.12815 0.170909
\(336\) 11.2351 14.4835i 0.612928 0.790139i
\(337\) −20.0426 −1.09179 −0.545894 0.837854i \(-0.683810\pi\)
−0.545894 + 0.837854i \(0.683810\pi\)
\(338\) −14.8023 2.01916i −0.805139 0.109828i
\(339\) 6.61670 22.2462i 0.359370 1.20825i
\(340\) −0.376660 + 1.35495i −0.0204273 + 0.0734822i
\(341\) 7.51355 13.0139i 0.406882 0.704740i
\(342\) −23.0466 + 7.98249i −1.24622 + 0.431644i
\(343\) 9.11979 + 16.1192i 0.492422 + 0.870357i
\(344\) 30.2815 + 13.0432i 1.63267 + 0.703241i
\(345\) 5.74408 + 24.0442i 0.309251 + 1.29450i
\(346\) 12.3281 15.9118i 0.662762 0.855424i
\(347\) 5.06136 2.92218i 0.271708 0.156871i −0.357955 0.933739i \(-0.616526\pi\)
0.629664 + 0.776868i \(0.283193\pi\)
\(348\) 20.6651 + 12.9629i 1.10777 + 0.694886i
\(349\) 18.6166i 0.996526i 0.867026 + 0.498263i \(0.166029\pi\)
−0.867026 + 0.498263i \(0.833971\pi\)
\(350\) −0.726402 + 0.455064i −0.0388278 + 0.0243242i
\(351\) −6.18486 + 5.24659i −0.330123 + 0.280042i
\(352\) 9.36228 + 1.45578i 0.499011 + 0.0775936i
\(353\) −5.78219 + 3.33835i −0.307755 + 0.177682i −0.645921 0.763404i \(-0.723527\pi\)
0.338167 + 0.941086i \(0.390193\pi\)
\(354\) −15.1148 + 1.50020i −0.803344 + 0.0797349i
\(355\) −6.95768 + 12.0511i −0.369275 + 0.639603i
\(356\) 7.40220 + 7.54184i 0.392316 + 0.399717i
\(357\) 0.582800 + 1.35525i 0.0308450 + 0.0717273i
\(358\) −1.62667 + 0.664902i −0.0859722 + 0.0351412i
\(359\) −12.1282 + 21.0067i −0.640102 + 1.10869i 0.345307 + 0.938490i \(0.387775\pi\)
−0.985410 + 0.170200i \(0.945559\pi\)
\(360\) −18.4980 + 1.15369i −0.974928 + 0.0608046i
\(361\) −7.02406 12.1660i −0.369687 0.640317i
\(362\) −4.00414 + 29.3541i −0.210453 + 1.54282i
\(363\) −10.3065 + 9.75866i −0.540953 + 0.512197i
\(364\) 8.21840 + 0.820604i 0.430761 + 0.0430113i
\(365\) −19.6150 −1.02670
\(366\) −6.27661 8.74505i −0.328084 0.457111i
\(367\) −6.54864 + 3.78086i −0.341836 + 0.197359i −0.661084 0.750312i \(-0.729903\pi\)
0.319248 + 0.947671i \(0.396570\pi\)
\(368\) −22.8759 + 12.6434i −1.19249 + 0.659084i
\(369\) −5.65531 + 8.66592i −0.294404 + 0.451130i
\(370\) −3.12396 + 1.27692i −0.162407 + 0.0663840i
\(371\) −17.9958 + 15.0113i −0.934298 + 0.779348i
\(372\) −31.0585 1.13855i −1.61031 0.0590313i
\(373\) −16.9620 9.79302i −0.878260 0.507063i −0.00817543 0.999967i \(-0.502602\pi\)
−0.870084 + 0.492903i \(0.835936\pi\)
\(374\) −0.467028 + 0.602791i −0.0241494 + 0.0311696i
\(375\) 18.9618 + 5.63982i 0.979184 + 0.291239i
\(376\) 10.2222 7.61852i 0.527168 0.392895i
\(377\) 10.9916i 0.566097i
\(378\) −14.3633 + 13.1033i −0.738768 + 0.673960i
\(379\) 4.99759 0.256709 0.128354 0.991728i \(-0.459031\pi\)
0.128354 + 0.991728i \(0.459031\pi\)
\(380\) −6.27286 24.3173i −0.321791 1.24745i
\(381\) 6.18991 20.8113i 0.317119 1.06620i
\(382\) −21.1547 + 27.3042i −1.08237 + 1.39701i
\(383\) 15.1532 26.2461i 0.774292 1.34111i −0.160900 0.986971i \(-0.551440\pi\)
0.935192 0.354142i \(-0.115227\pi\)
\(384\) −6.39990 18.5214i −0.326594 0.945165i
\(385\) 9.53710 1.65305i 0.486056 0.0842474i
\(386\) −0.00709102 0.0173480i −0.000360924 0.000882992i
\(387\) −29.2866 19.1122i −1.48872 0.971527i
\(388\) 8.15387 + 2.26669i 0.413950 + 0.115074i
\(389\) 2.13059 + 3.69030i 0.108025 + 0.187106i 0.914970 0.403521i \(-0.132214\pi\)
−0.806945 + 0.590627i \(0.798881\pi\)
\(390\) −4.86940 6.78441i −0.246571 0.343542i
\(391\) 2.10357i 0.106382i
\(392\) 19.7591 + 1.25576i 0.997987 + 0.0634253i
\(393\) 20.3713 + 21.5150i 1.02760 + 1.08529i
\(394\) −9.08592 1.23940i −0.457742 0.0624399i
\(395\) −7.83704 + 4.52472i −0.394324 + 0.227663i
\(396\) −9.52106 3.21594i −0.478452 0.161607i
\(397\) 17.1398 + 9.89568i 0.860223 + 0.496650i 0.864087 0.503343i \(-0.167897\pi\)
−0.00386406 + 0.999993i \(0.501230\pi\)
\(398\) −6.75702 + 2.76194i −0.338699 + 0.138443i
\(399\) −21.1136 15.7552i −1.05700 0.788748i
\(400\) −0.0171236 + 0.916195i −0.000856182 + 0.0458097i
\(401\) −1.98773 1.14762i −0.0992627 0.0573094i 0.449547 0.893257i \(-0.351585\pi\)
−0.548810 + 0.835947i \(0.684919\pi\)
\(402\) −0.346481 3.49087i −0.0172809 0.174109i
\(403\) −7.00186 12.1276i −0.348787 0.604118i
\(404\) 2.46921 + 9.57208i 0.122848 + 0.476229i
\(405\) 19.5411 + 2.14226i 0.971005 + 0.106450i
\(406\) 0.949723 + 26.3318i 0.0471339 + 1.30683i
\(407\) −1.82993 −0.0907062
\(408\) 1.55378 + 0.270258i 0.0769234 + 0.0133798i
\(409\) −0.750621 1.30011i −0.0371158 0.0642865i 0.846871 0.531799i \(-0.178484\pi\)
−0.883987 + 0.467512i \(0.845150\pi\)
\(410\) −8.42272 6.52572i −0.415968 0.322283i
\(411\) −34.8978 + 8.33695i −1.72138 + 0.411231i
\(412\) 25.6912 + 26.1758i 1.26571 + 1.28959i
\(413\) −10.5090 12.5984i −0.517116 0.619928i
\(414\) 26.1960 9.07333i 1.28746 0.445930i
\(415\) −17.1467 9.89963i −0.841696 0.485954i
\(416\) 5.53723 6.87747i 0.271485 0.337196i
\(417\) 2.11265 + 0.628367i 0.103457 + 0.0307713i
\(418\) 1.84043 13.4921i 0.0900186 0.659920i
\(419\) 8.44514i 0.412572i −0.978492 0.206286i \(-0.933862\pi\)
0.978492 0.206286i \(-0.0661378\pi\)
\(420\) −12.2515 15.8322i −0.597810 0.772532i
\(421\) 13.9326i 0.679032i −0.940600 0.339516i \(-0.889737\pi\)
0.940600 0.339516i \(-0.110263\pi\)
\(422\) 23.5908 + 3.21799i 1.14838 + 0.156649i
\(423\) −12.0621 + 6.11202i −0.586480 + 0.297176i
\(424\) 2.92161 + 24.8819i 0.141886 + 1.20837i
\(425\) −0.0638689 0.0368747i −0.00309809 0.00178869i
\(426\) 14.2191 + 6.42964i 0.688916 + 0.311517i
\(427\) 4.00839 10.9140i 0.193979 0.528168i
\(428\) −6.19638 6.31327i −0.299513 0.305163i
\(429\) −1.05214 4.40418i −0.0507979 0.212636i
\(430\) 22.0538 28.4647i 1.06353 1.37269i
\(431\) 16.9743 + 29.4004i 0.817624 + 1.41617i 0.907428 + 0.420207i \(0.138043\pi\)
−0.0898039 + 0.995959i \(0.528624\pi\)
\(432\) 3.33634 + 20.5151i 0.160520 + 0.987033i
\(433\) 4.44336 0.213534 0.106767 0.994284i \(-0.465950\pi\)
0.106767 + 0.994284i \(0.465950\pi\)
\(434\) −17.8217 28.4482i −0.855470 1.36556i
\(435\) 19.3456 18.3173i 0.927552 0.878245i
\(436\) −15.7649 + 4.06670i −0.755001 + 0.194760i
\(437\) 18.7822 + 32.5316i 0.898472 + 1.55620i
\(438\) 2.17261 + 21.8894i 0.103811 + 1.04592i
\(439\) −7.55680 4.36292i −0.360667 0.208231i 0.308707 0.951157i \(-0.400104\pi\)
−0.669373 + 0.742926i \(0.733437\pi\)
\(440\) 4.09346 9.50351i 0.195148 0.453062i
\(441\) −20.4231 4.88864i −0.972526 0.232792i
\(442\) 0.268869 + 0.657783i 0.0127888 + 0.0312875i
\(443\) 32.0121 + 18.4822i 1.52094 + 0.878115i 0.999695 + 0.0247072i \(0.00786534\pi\)
0.521244 + 0.853407i \(0.325468\pi\)
\(444\) 1.77100 + 3.34476i 0.0840481 + 0.158735i
\(445\) 9.99478 5.77049i 0.473798 0.273548i
\(446\) 0.344378 2.52461i 0.0163068 0.119544i
\(447\) 6.21654 5.88608i 0.294032 0.278402i
\(448\) 12.6709 16.9543i 0.598643 0.801016i
\(449\) 23.4269i 1.10559i −0.833319 0.552793i \(-0.813562\pi\)
0.833319 0.552793i \(-0.186438\pi\)
\(450\) 0.183720 0.954419i 0.00866064 0.0449918i
\(451\) −2.88868 5.00333i −0.136022 0.235598i
\(452\) 7.17790 25.8208i 0.337620 1.21451i
\(453\) 10.6718 2.54945i 0.501405 0.119784i
\(454\) 15.1878 6.20802i 0.712799 0.291357i
\(455\) 3.10971 8.46712i 0.145785 0.396945i
\(456\) −26.4422 + 9.69367i −1.23827 + 0.453948i
\(457\) 0.661376 1.14554i 0.0309378 0.0535859i −0.850142 0.526554i \(-0.823484\pi\)
0.881080 + 0.472968i \(0.156817\pi\)
\(458\) −10.9815 8.50820i −0.513131 0.397562i
\(459\) −1.57494 0.563669i −0.0735120 0.0263098i
\(460\) 7.13008 + 27.6403i 0.332442 + 1.28874i
\(461\) −23.5461 −1.09665 −0.548325 0.836266i \(-0.684734\pi\)
−0.548325 + 0.836266i \(0.684734\pi\)
\(462\) −2.90108 10.4599i −0.134971 0.486637i
\(463\) 14.4502i 0.671557i 0.941941 + 0.335778i \(0.108999\pi\)
−0.941941 + 0.335778i \(0.891001\pi\)
\(464\) 24.1269 + 14.5375i 1.12006 + 0.674886i
\(465\) −9.67654 + 32.5338i −0.448739 + 1.50872i
\(466\) 8.96079 + 6.94261i 0.415101 + 0.321610i
\(467\) 13.0084 + 7.51039i 0.601956 + 0.347540i 0.769811 0.638272i \(-0.220351\pi\)
−0.167855 + 0.985812i \(0.553684\pi\)
\(468\) −7.03174 + 6.18548i −0.325042 + 0.285924i
\(469\) 2.90969 2.42713i 0.134357 0.112074i
\(470\) −5.26808 12.8882i −0.242998 0.594491i
\(471\) 4.07057 0.972444i 0.187562 0.0448079i
\(472\) −17.4192 + 2.04535i −0.801783 + 0.0941447i
\(473\) 16.9088 9.76231i 0.777468 0.448872i
\(474\) 5.91743 + 8.24461i 0.271797 + 0.378687i
\(475\) 1.31697 0.0604269
\(476\) 0.700946 + 1.55257i 0.0321278 + 0.0711620i
\(477\) 1.45004 26.5330i 0.0663928 1.21486i
\(478\) 8.44162 + 1.15151i 0.386111 + 0.0526687i
\(479\) −10.9550 18.9745i −0.500545 0.866969i −1.00000 0.000629369i \(-0.999800\pi\)
0.499455 0.866340i \(-0.333534\pi\)
\(480\) −21.3322 + 1.71542i −0.973679 + 0.0782980i
\(481\) −0.852653 + 1.47684i −0.0388776 + 0.0673380i
\(482\) −5.47839 13.4028i −0.249534 0.610480i
\(483\) 23.9989 + 17.9083i 1.09199 + 0.814854i
\(484\) −11.6967 + 11.4802i −0.531670 + 0.521826i
\(485\) 4.62134 8.00440i 0.209844 0.363461i
\(486\) 0.226243 22.0442i 0.0102626 0.999947i
\(487\) 9.51388 5.49284i 0.431115 0.248904i −0.268707 0.963222i \(-0.586596\pi\)
0.699821 + 0.714318i \(0.253263\pi\)
\(488\) −7.42773 9.96617i −0.336237 0.451147i
\(489\) 11.2208 10.6243i 0.507421 0.480448i
\(490\) 6.71811 20.5528i 0.303493 0.928479i
\(491\) 32.3525i 1.46005i 0.683422 + 0.730024i \(0.260491\pi\)
−0.683422 + 0.730024i \(0.739509\pi\)
\(492\) −6.34949 + 10.1222i −0.286257 + 0.456343i
\(493\) −1.96329 + 1.13351i −0.0884222 + 0.0510506i
\(494\) −10.0312 7.77194i −0.451325 0.349676i
\(495\) −5.99814 + 9.19127i −0.269597 + 0.413117i
\(496\) −35.8810 0.670615i −1.61111 0.0301115i
\(497\) 2.87863 + 16.6079i 0.129124 + 0.744967i
\(498\) −9.14832 + 20.2314i −0.409946 + 0.906590i
\(499\) −7.10372 + 12.3040i −0.318006 + 0.550803i −0.980072 0.198643i \(-0.936347\pi\)
0.662066 + 0.749446i \(0.269680\pi\)
\(500\) 22.0086 + 6.11816i 0.984255 + 0.273613i
\(501\) 11.6400 + 3.46208i 0.520036 + 0.154674i
\(502\) −1.90698 + 13.9799i −0.0851126 + 0.623954i
\(503\) 33.4106 1.48970 0.744852 0.667229i \(-0.232520\pi\)
0.744852 + 0.667229i \(0.232520\pi\)
\(504\) −16.3110 + 15.4257i −0.726549 + 0.687114i
\(505\) 10.7961 0.480419
\(506\) −2.09194 + 15.3359i −0.0929980 + 0.681762i
\(507\) 17.5376 + 5.21622i 0.778873 + 0.231660i
\(508\) 6.71491 24.1553i 0.297926 1.07172i
\(509\) 8.44815 14.6326i 0.374458 0.648580i −0.615788 0.787912i \(-0.711162\pi\)
0.990246 + 0.139332i \(0.0444956\pi\)
\(510\) 0.709658 1.56940i 0.0314242 0.0694941i
\(511\) −18.2452 + 15.2193i −0.807118 + 0.673261i
\(512\) −7.77274 21.2505i −0.343510 0.939149i
\(513\) 29.3893 5.34507i 1.29757 0.235991i
\(514\) 22.1458 + 17.1580i 0.976808 + 0.756808i
\(515\) 34.6894 20.0279i 1.52860 0.882536i
\(516\) −34.2080 21.4582i −1.50592 0.944643i
\(517\) 7.54957i 0.332030i
\(518\) −1.91503 + 3.61163i −0.0841418 + 0.158686i
\(519\) −17.9013 + 16.9497i −0.785781 + 0.744011i
\(520\) −5.76243 7.73176i −0.252699 0.339060i
\(521\) 31.0684 17.9374i 1.36113 0.785850i 0.371358 0.928490i \(-0.378892\pi\)
0.989775 + 0.142639i \(0.0455589\pi\)
\(522\) −22.5840 19.5600i −0.988474 0.856117i
\(523\) −1.10840 + 1.91980i −0.0484669 + 0.0839471i −0.889241 0.457439i \(-0.848767\pi\)
0.840774 + 0.541386i \(0.182100\pi\)
\(524\) 23.9650 + 24.4170i 1.04691 + 1.06666i
\(525\) 0.964423 0.414732i 0.0420909 0.0181004i
\(526\) −3.65764 8.94834i −0.159481 0.390166i
\(527\) 1.44413 2.50130i 0.0629072 0.108959i
\(528\) −11.0589 3.51548i −0.481276 0.152991i
\(529\) −9.84883 17.0587i −0.428210 0.741681i
\(530\) 27.1097 + 3.69799i 1.17757 + 0.160630i
\(531\) 18.5751 + 1.01514i 0.806089 + 0.0440532i
\(532\) −24.7026 17.7519i −1.07099 0.769644i
\(533\) −5.38390 −0.233202
\(534\) −7.54665 10.5146i −0.326575 0.455010i
\(535\) −8.36662 + 4.83047i −0.361721 + 0.208840i
\(536\) −0.472386 4.02308i −0.0204040 0.173770i
\(537\) 2.09335 0.500095i 0.0903349 0.0215807i
\(538\) 12.9300 + 31.6331i 0.557453 + 1.36380i
\(539\) 7.58846 8.93744i 0.326858 0.384963i
\(540\) 22.6049 + 2.06817i 0.972760 + 0.0889999i
\(541\) −32.2404 18.6140i −1.38612 0.800279i −0.393248 0.919432i \(-0.628649\pi\)
−0.992876 + 0.119153i \(0.961982\pi\)
\(542\) 19.7292 + 15.2857i 0.847440 + 0.656577i
\(543\) 10.3442 34.7785i 0.443911 1.49249i
\(544\) 1.79946 + 0.279807i 0.0771512 + 0.0119966i
\(545\) 17.7808i 0.761645i
\(546\) −9.79336 2.53245i −0.419117 0.108379i
\(547\) 12.2271 0.522792 0.261396 0.965232i \(-0.415817\pi\)
0.261396 + 0.965232i \(0.415817\pi\)
\(548\) −40.1171 + 10.3486i −1.71372 + 0.442069i
\(549\) 5.95895 + 11.7600i 0.254322 + 0.501906i
\(550\) 0.428958 + 0.332347i 0.0182908 + 0.0141713i
\(551\) 20.2415 35.0593i 0.862317 1.49358i
\(552\) 30.0556 11.0184i 1.27925 0.468972i
\(553\) −3.77901 + 10.2895i −0.160700 + 0.437554i
\(554\) −19.5373 + 7.98588i −0.830060 + 0.339288i
\(555\) 4.02021 0.960414i 0.170649 0.0407673i
\(556\) 2.45212 + 0.681662i 0.103993 + 0.0289089i
\(557\) 0.649106 + 1.12428i 0.0275035 + 0.0476375i 0.879450 0.475992i \(-0.157911\pi\)
−0.851946 + 0.523630i \(0.824578\pi\)
\(558\) 37.3780 + 7.19505i 1.58234 + 0.304591i
\(559\) 18.1949i 0.769564i
\(560\) −14.4727 18.0245i −0.611583 0.761675i
\(561\) 0.678160 0.642111i 0.0286320 0.0271099i
\(562\) −2.65475 + 19.4618i −0.111984 + 0.820944i
\(563\) −24.2080 + 13.9765i −1.02024 + 0.589038i −0.914175 0.405320i \(-0.867160\pi\)
−0.106070 + 0.994359i \(0.533827\pi\)
\(564\) −13.7992 + 7.30647i −0.581050 + 0.307658i
\(565\) −25.3475 14.6344i −1.06638 0.615672i
\(566\) −3.09135 7.56293i −0.129939 0.317894i
\(567\) 19.8386 13.1693i 0.833143 0.553058i
\(568\) 16.5494 + 7.12835i 0.694398 + 0.299099i
\(569\) −26.1457 15.0952i −1.09608 0.632825i −0.160895 0.986972i \(-0.551438\pi\)
−0.935190 + 0.354147i \(0.884771\pi\)
\(570\) 3.03786 + 30.6070i 0.127242 + 1.28199i
\(571\) −16.0016 27.7156i −0.669646 1.15986i −0.978003 0.208591i \(-0.933112\pi\)
0.308357 0.951271i \(-0.400221\pi\)
\(572\) −1.30602 5.06288i −0.0546073 0.211690i
\(573\) 30.7182 29.0853i 1.28327 1.21505i
\(574\) −12.8978 + 0.465192i −0.538344 + 0.0194167i
\(575\) −1.49694 −0.0624269
\(576\) 4.27715 + 23.6158i 0.178214 + 0.983992i
\(577\) 7.72204 + 13.3750i 0.321473 + 0.556807i 0.980792 0.195056i \(-0.0624888\pi\)
−0.659319 + 0.751863i \(0.729155\pi\)
\(578\) 14.6348 18.8891i 0.608728 0.785682i
\(579\) 0.00533339 + 0.0223251i 0.000221648 + 0.000927800i
\(580\) 21.9551 21.5486i 0.911635 0.894756i
\(581\) −23.6303 + 4.09581i −0.980351 + 0.169923i
\(582\) −9.44442 4.27062i −0.391484 0.177023i
\(583\) 12.8480 + 7.41782i 0.532112 + 0.307215i
\(584\) 2.96209 + 25.2266i 0.122572 + 1.04389i
\(585\) 4.62295 + 9.12344i 0.191136 + 0.377208i
\(586\) 21.9127 + 2.98907i 0.905204 + 0.123477i
\(587\) 1.97510i 0.0815212i 0.999169 + 0.0407606i \(0.0129781\pi\)
−0.999169 + 0.0407606i \(0.987022\pi\)
\(588\) −23.6801 5.22062i −0.976549 0.215295i
\(589\) 51.5768i 2.12518i
\(590\) −2.58887 + 18.9788i −0.106582 + 0.781345i
\(591\) 10.7649 + 3.20181i 0.442810 + 0.131705i
\(592\) 2.11399 + 3.82486i 0.0868844 + 0.157201i
\(593\) −14.0265 8.09823i −0.576001 0.332554i 0.183542 0.983012i \(-0.441244\pi\)
−0.759543 + 0.650458i \(0.774577\pi\)
\(594\) 10.9214 + 5.67560i 0.448110 + 0.232873i
\(595\) 1.83306 0.317722i 0.0751482 0.0130253i
\(596\) 7.05506 6.92443i 0.288987 0.283636i
\(597\) 8.69558 2.07734i 0.355886 0.0850200i
\(598\) 11.4020 + 8.83401i 0.466263 + 0.361250i
\(599\) −7.00327 12.1300i −0.286146 0.495619i 0.686741 0.726903i \(-0.259041\pi\)
−0.972886 + 0.231283i \(0.925708\pi\)
\(600\) 0.192322 1.10570i 0.00785149 0.0451400i
\(601\) −15.5923 −0.636024 −0.318012 0.948087i \(-0.603015\pi\)
−0.318012 + 0.948087i \(0.603015\pi\)
\(602\) −1.57212 43.5883i −0.0640749 1.77653i
\(603\) −0.234452 + 4.29003i −0.00954764 + 0.174704i
\(604\) 12.2679 3.16462i 0.499174 0.128766i
\(605\) 8.94954 + 15.5011i 0.363850 + 0.630207i
\(606\) −1.19580 12.0479i −0.0485761 0.489414i
\(607\) 28.3416 + 16.3630i 1.15035 + 0.664155i 0.948973 0.315359i \(-0.102125\pi\)
0.201378 + 0.979514i \(0.435458\pi\)
\(608\) −30.3269 + 11.7396i −1.22992 + 0.476105i
\(609\) 3.78226 32.0483i 0.153265 1.29866i
\(610\) −12.5655 + 5.13615i −0.508761 + 0.207956i
\(611\) −6.09286 3.51771i −0.246491 0.142311i
\(612\) −1.82998 0.618115i −0.0739725 0.0249858i
\(613\) −0.287887 + 0.166212i −0.0116277 + 0.00671323i −0.505803 0.862649i \(-0.668804\pi\)
0.494175 + 0.869363i \(0.335470\pi\)
\(614\) −10.0873 1.37599i −0.407091 0.0555306i
\(615\) 8.97213 + 9.47585i 0.361791 + 0.382103i
\(616\) −3.56618 12.0159i −0.143686 0.484136i
\(617\) 39.1386i 1.57566i 0.615893 + 0.787830i \(0.288795\pi\)
−0.615893 + 0.787830i \(0.711205\pi\)
\(618\) −26.1925 36.4934i −1.05362 1.46798i
\(619\) 1.61116 + 2.79062i 0.0647581 + 0.112164i 0.896587 0.442868i \(-0.146039\pi\)
−0.831829 + 0.555033i \(0.812706\pi\)
\(620\) −10.4973 + 37.7614i −0.421580 + 1.51653i
\(621\) −33.4055 + 6.07550i −1.34052 + 0.243801i
\(622\) −4.65621 11.3913i −0.186697 0.456750i
\(623\) 4.81946 13.1225i 0.193088 0.525740i
\(624\) −7.99002 + 7.28700i −0.319857 + 0.291713i
\(625\) 11.9010 20.6132i 0.476042 0.824528i
\(626\) −16.5875 + 21.4094i −0.662970 + 0.855691i
\(627\) −4.75451 + 15.9853i −0.189877 + 0.638392i
\(628\) 4.67937 1.20709i 0.186727 0.0481680i
\(629\) −0.351718 −0.0140239
\(630\) 11.8632 + 21.4569i 0.472641 + 0.854864i
\(631\) 10.2850i 0.409441i 0.978820 + 0.204721i \(0.0656286\pi\)
−0.978820 + 0.204721i \(0.934371\pi\)
\(632\) 7.00267 + 9.39585i 0.278551 + 0.373747i
\(633\) −27.9502 8.31323i −1.11092 0.330421i
\(634\) −3.17320 + 4.09563i −0.126024 + 0.162658i
\(635\) −23.7125 13.6904i −0.941002 0.543287i
\(636\) 1.12405 30.6628i 0.0445714 1.21586i
\(637\) −3.67710 10.2886i −0.145692 0.407650i
\(638\) 15.4404 6.31127i 0.611292 0.249866i
\(639\) −16.0057 10.4452i −0.633175 0.413205i
\(640\) −24.5928 + 2.42271i −0.972117 + 0.0957661i
\(641\) −26.2428 + 15.1513i −1.03653 + 0.598439i −0.918848 0.394612i \(-0.870879\pi\)
−0.117680 + 0.993052i \(0.537546\pi\)
\(642\) 6.31729 + 8.80173i 0.249324 + 0.347377i
\(643\) −37.4668 −1.47755 −0.738773 0.673955i \(-0.764594\pi\)
−0.738773 + 0.673955i \(0.764594\pi\)
\(644\) 28.0783 + 20.1778i 1.10644 + 0.795118i
\(645\) −32.0238 + 30.3214i −1.26093 + 1.19390i
\(646\) 0.353737 2.59322i 0.0139176 0.102029i
\(647\) 0.130900 + 0.226726i 0.00514622 + 0.00891351i 0.868587 0.495537i \(-0.165029\pi\)
−0.863441 + 0.504450i \(0.831695\pi\)
\(648\) −0.195790 25.4551i −0.00769136 0.999970i
\(649\) −5.19303 + 8.99459i −0.203844 + 0.353069i
\(650\) 0.468092 0.191333i 0.0183601 0.00750469i
\(651\) 16.2422 + 37.7698i 0.636583 + 1.48032i
\(652\) 12.7343 12.4985i 0.498714 0.489480i
\(653\) −22.1548 + 38.3732i −0.866984 + 1.50166i −0.00192051 + 0.999998i \(0.500611\pi\)
−0.865064 + 0.501662i \(0.832722\pi\)
\(654\) 19.8425 1.96944i 0.775904 0.0770113i
\(655\) 32.3586 18.6822i 1.26435 0.729975i
\(656\) −7.12073 + 11.8178i −0.278018 + 0.461408i
\(657\) 1.47013 26.9006i 0.0573552 1.04949i
\(658\) −14.9002 7.90068i −0.580869 0.308001i
\(659\) 23.4513i 0.913534i −0.889586 0.456767i \(-0.849007\pi\)
0.889586 0.456767i \(-0.150993\pi\)
\(660\) −6.73440 + 10.7358i −0.262136 + 0.417890i
\(661\) −29.3695 + 16.9565i −1.14234 + 0.659531i −0.947009 0.321206i \(-0.895912\pi\)
−0.195332 + 0.980737i \(0.562578\pi\)
\(662\) −9.37808 + 12.1042i −0.364490 + 0.470445i
\(663\) −0.202225 0.846498i −0.00785378 0.0328752i
\(664\) −10.1425 + 23.5471i −0.393604 + 0.913804i
\(665\) −25.5114 + 21.2804i −0.989289 + 0.825219i
\(666\) −1.51707 4.37999i −0.0587852 0.169721i
\(667\) −23.0076 + 39.8503i −0.890857 + 1.54301i
\(668\) 13.5103 + 3.75572i 0.522729 + 0.145313i
\(669\) −0.889654 + 2.99114i −0.0343960 + 0.115644i
\(670\) −4.38328 0.597916i −0.169341 0.0230995i
\(671\) −7.36050 −0.284149
\(672\) −18.5115 + 18.1473i −0.714096 + 0.700048i
\(673\) −13.3855 −0.515973 −0.257986 0.966149i \(-0.583059\pi\)
−0.257986 + 0.966149i \(0.583059\pi\)
\(674\) 28.0844 + 3.83095i 1.08177 + 0.147563i
\(675\) −0.401119 + 1.12076i −0.0154391 + 0.0431381i
\(676\) 20.3556 + 5.65864i 0.782907 + 0.217640i
\(677\) −13.0777 + 22.6513i −0.502618 + 0.870559i 0.497378 + 0.867534i \(0.334296\pi\)
−0.999995 + 0.00302522i \(0.999037\pi\)
\(678\) −13.5237 + 29.9075i −0.519376 + 1.14859i
\(679\) −1.91201 11.0311i −0.0733761 0.423335i
\(680\) 0.786775 1.82660i 0.0301715 0.0700471i
\(681\) −19.5451 + 4.66926i −0.748970 + 0.178926i
\(682\) −13.0157 + 16.7993i −0.498398 + 0.643280i
\(683\) −19.0543 + 11.0010i −0.729092 + 0.420942i −0.818090 0.575090i \(-0.804967\pi\)
0.0889978 + 0.996032i \(0.471634\pi\)
\(684\) 33.8195 6.78022i 1.29312 0.259248i
\(685\) 45.2470i 1.72880i
\(686\) −9.69794 24.3300i −0.370269 0.928924i
\(687\) 11.6978 + 12.3546i 0.446299 + 0.471356i
\(688\) −39.9385 24.0646i −1.52264 0.917454i
\(689\) 11.9731 6.91265i 0.456137 0.263351i
\(690\) −3.45300 34.7896i −0.131453 1.32442i
\(691\) 17.0852 29.5924i 0.649952 1.12575i −0.333182 0.942862i \(-0.608122\pi\)
0.983134 0.182887i \(-0.0585442\pi\)
\(692\) −20.3160 + 19.9398i −0.772297 + 0.757998i
\(693\) 1.55224 + 13.2033i 0.0589649 + 0.501553i
\(694\) −7.65072 + 3.12724i −0.290417 + 0.118708i
\(695\) 1.38978 2.40717i 0.0527173 0.0913091i
\(696\) −26.4790 22.1141i −1.00368 0.838232i
\(697\) −0.555213 0.961656i −0.0210302 0.0364253i
\(698\) 3.55840 26.0863i 0.134687 0.987383i
\(699\) −9.54531 10.0812i −0.361037 0.381306i
\(700\) 1.10484 0.498807i 0.0417591 0.0188531i
\(701\) 25.6168 0.967533 0.483767 0.875197i \(-0.339268\pi\)
0.483767 + 0.875197i \(0.339268\pi\)
\(702\) 9.66929 6.16954i 0.364944 0.232854i
\(703\) 5.43931 3.14039i 0.205147 0.118442i
\(704\) −12.8405 3.82941i −0.483945 0.144326i
\(705\) 3.96229 + 16.5858i 0.149229 + 0.624658i
\(706\) 8.74031 3.57261i 0.328946 0.134457i
\(707\) 10.0421 8.37668i 0.377673 0.315037i
\(708\) 21.4662 + 0.786917i 0.806750 + 0.0295742i
\(709\) −0.228674 0.132025i −0.00858802 0.00495830i 0.495700 0.868494i \(-0.334912\pi\)
−0.504288 + 0.863536i \(0.668245\pi\)
\(710\) 12.0528 15.5565i 0.452334 0.583825i
\(711\) −5.61795 11.0871i −0.210689 0.415797i
\(712\) −8.93069 11.9828i −0.334692 0.449073i
\(713\) 58.6250i 2.19552i
\(714\) −0.557598 2.01042i −0.0208676 0.0752381i
\(715\) −5.71028 −0.213552
\(716\) 2.40644 0.620763i 0.0899329 0.0231990i
\(717\) −10.0016 2.97477i −0.373515 0.111095i
\(718\) 21.0097 27.1171i 0.784076 1.01200i
\(719\) −19.9630 + 34.5770i −0.744496 + 1.28950i 0.205934 + 0.978566i \(0.433977\pi\)
−0.950430 + 0.310939i \(0.899357\pi\)
\(720\) 26.1405 + 1.91912i 0.974201 + 0.0715214i
\(721\) 16.7271 45.5447i 0.622952 1.69617i
\(722\) 7.51695 + 18.3901i 0.279752 + 0.684408i
\(723\) 4.12048 + 17.2480i 0.153242 + 0.641459i
\(724\) 11.2215 40.3667i 0.417044 1.50022i
\(725\) 0.806627 + 1.39712i 0.0299574 + 0.0518877i
\(726\) 16.3072 11.7042i 0.605216 0.434384i
\(727\) 4.46181i 0.165479i 0.996571 + 0.0827397i \(0.0263670\pi\)
−0.996571 + 0.0827397i \(0.973633\pi\)
\(728\) −11.3591 2.72073i −0.420995 0.100837i
\(729\) −4.40255 + 26.6386i −0.163057 + 0.986617i
\(730\) 27.4853 + 3.74922i 1.01728 + 0.138765i
\(731\) 3.24993 1.87635i 0.120203 0.0693992i
\(732\) 7.12348 + 13.4536i 0.263292 + 0.497259i
\(733\) −3.91514 2.26041i −0.144609 0.0834900i 0.425950 0.904747i \(-0.359940\pi\)
−0.570559 + 0.821257i \(0.693273\pi\)
\(734\) 9.89887 4.04617i 0.365374 0.149347i
\(735\) −11.9806 + 23.6176i −0.441910 + 0.871148i
\(736\) 34.4712 13.3439i 1.27063 0.491863i
\(737\) −2.07736 1.19936i −0.0765205 0.0441791i
\(738\) 9.58084 11.0621i 0.352675 0.407200i
\(739\) −0.571921 0.990596i −0.0210384 0.0364397i 0.855315 0.518109i \(-0.173364\pi\)
−0.876353 + 0.481670i \(0.840031\pi\)
\(740\) 4.62148 1.19215i 0.169889 0.0438244i
\(741\) 10.6855 + 11.2854i 0.392543 + 0.414581i
\(742\) 28.0857 17.5947i 1.03106 0.645920i
\(743\) 13.5335 0.496495 0.248248 0.968697i \(-0.420145\pi\)
0.248248 + 0.968697i \(0.420145\pi\)
\(744\) 43.3026 + 7.53191i 1.58755 + 0.276133i
\(745\) −5.39804 9.34968i −0.197769 0.342546i
\(746\) 21.8960 + 16.9645i 0.801668 + 0.621113i
\(747\) 14.8618 22.7734i 0.543763 0.833237i
\(748\) 0.769635 0.755385i 0.0281406 0.0276196i
\(749\) −4.03437 + 10.9848i −0.147413 + 0.401375i
\(750\) −25.4920 11.5271i −0.930837 0.420910i
\(751\) 13.7335 + 7.92906i 0.501144 + 0.289336i 0.729186 0.684316i \(-0.239899\pi\)
−0.228042 + 0.973651i \(0.573232\pi\)
\(752\) −15.7799 + 8.72149i −0.575433 + 0.318040i
\(753\) 4.92642 16.5633i 0.179529 0.603600i
\(754\) 2.10094 15.4019i 0.0765118 0.560903i
\(755\) 13.8366i 0.503566i
\(756\) 22.6309 15.6154i 0.823079 0.567926i
\(757\) 41.0141i 1.49068i −0.666683 0.745341i \(-0.732287\pi\)
0.666683 0.745341i \(-0.267713\pi\)
\(758\) −7.00280 0.955241i −0.254353 0.0346959i
\(759\) 5.40424 18.1698i 0.196162 0.659521i
\(760\) 4.14175 + 35.2733i 0.150237 + 1.27950i
\(761\) −8.79472 5.07763i −0.318808 0.184064i 0.332053 0.943261i \(-0.392259\pi\)
−0.650861 + 0.759197i \(0.725592\pi\)
\(762\) −12.6514 + 27.9784i −0.458312 + 1.01355i
\(763\) 13.7961 + 16.5390i 0.499452 + 0.598753i
\(764\) 34.8616 34.2162i 1.26125 1.23790i
\(765\) −1.15286 + 1.76659i −0.0416818 + 0.0638712i
\(766\) −26.2499 + 33.8806i −0.948447 + 1.22416i
\(767\) 4.83937 + 8.38203i 0.174740 + 0.302658i
\(768\) 5.42760 + 27.1761i 0.195852 + 0.980634i
\(769\) 15.2996 0.551719 0.275859 0.961198i \(-0.411038\pi\)
0.275859 + 0.961198i \(0.411038\pi\)
\(770\) −13.6797 + 0.493393i −0.492982 + 0.0177806i
\(771\) −23.5903 24.9148i −0.849585 0.897283i
\(772\) 0.00662029 + 0.0256641i 0.000238269 + 0.000923671i
\(773\) −18.3453 31.7750i −0.659835