Properties

Label 168.2.v.a.107.27
Level $168$
Weight $2$
Character 168.107
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

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 107.27
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.27

$q$-expansion

\(f(q)\) \(=\) \(q+(1.40124 + 0.191140i) q^{2} +(-0.402456 + 1.68465i) q^{3} +(1.92693 + 0.535666i) q^{4} +(-1.09212 + 1.89161i) q^{5} +(-0.885940 + 2.28366i) q^{6} +(-0.451847 - 2.60688i) q^{7} +(2.59770 + 1.11891i) q^{8} +(-2.67606 - 1.35599i) q^{9} +O(q^{10})\) \(q+(1.40124 + 0.191140i) q^{2} +(-0.402456 + 1.68465i) q^{3} +(1.92693 + 0.535666i) q^{4} +(-1.09212 + 1.89161i) q^{5} +(-0.885940 + 2.28366i) q^{6} +(-0.451847 - 2.60688i) q^{7} +(2.59770 + 1.11891i) q^{8} +(-2.67606 - 1.35599i) q^{9} +(-1.89188 + 2.44184i) q^{10} +(1.45052 - 0.837460i) q^{11} +(-1.67791 + 3.03061i) 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} +(-3.49061 - 2.41157i) q^{18} +(2.87437 - 4.97856i) q^{19} +(-3.11771 + 3.05999i) q^{20} +(4.57352 + 0.287952i) q^{21} +(2.19260 - 0.896227i) q^{22} +(3.26717 - 5.65891i) q^{23} +(-2.93043 + 3.92589i) 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} +(-3.35224 - 4.16989i) q^{30} +(-7.76983 + 4.48591i) q^{31} +(4.40622 + 3.54756i) q^{32} +(0.827052 + 2.78066i) q^{33} +(0.421425 - 0.172258i) q^{34} +(5.42467 + 1.99231i) q^{35} +(-4.43022 - 4.04637i) q^{36} +(0.946173 + 0.546273i) q^{37} +(4.97929 - 6.42674i) q^{38} +(-2.62949 - 0.628175i) q^{39} +(-4.95354 + 3.69185i) q^{40} -3.44933i q^{41} +(6.35355 + 1.27767i) q^{42} -11.6570 q^{43} +(3.24366 - 0.836731i) q^{44} +(5.48758 - 3.58115i) q^{45} +(5.65973 - 7.30498i) q^{46} +(2.25371 - 3.90354i) q^{47} +(-4.85662 + 4.94098i) q^{48} +(-6.59167 + 2.35583i) q^{49} +(0.122582 + 0.299895i) q^{50} +(0.158962 + 0.534452i) q^{51} +(-0.836097 + 3.00766i) q^{52} +(4.42876 + 7.67084i) q^{53} +(5.46745 - 4.90989i) 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} +(-3.90025 - 6.48375i) q^{60} +(3.80578 + 2.19727i) q^{61} +(-11.7448 + 4.80070i) q^{62} +(-2.32574 + 7.58887i) q^{63} +(5.49608 + 5.81318i) q^{64} +(-2.95253 - 1.70464i) q^{65} +(0.627399 + 4.05445i) 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} +(-5.43436 - 6.51672i) q^{72} +(-4.49012 - 7.77711i) q^{73} +(1.22140 + 0.946310i) q^{74} +(-0.380327 + 0.113121i) q^{75} +(8.20557 - 8.05364i) q^{76} +(-2.83858 - 3.40294i) q^{77} +(-3.56446 - 1.38282i) q^{78} +(-3.58799 - 2.07153i) q^{79} +(-7.64675 + 4.22633i) q^{80} +(5.32258 + 7.25742i) q^{81} +(0.659306 - 4.83333i) q^{82} +9.06459i q^{83} +(8.65861 + 3.00474i) q^{84} +0.703162i q^{85} +(-16.3343 - 2.22813i) q^{86} +(2.83411 - 11.8634i) q^{87} +(4.70507 - 0.552465i) q^{88} +(-4.57586 - 2.64187i) q^{89} +(8.37391 - 3.96914i) q^{90} +(4.06896 - 0.705268i) q^{91} +(9.32690 - 9.15421i) q^{92} +(-4.43016 - 14.8948i) q^{93} +(3.90411 - 5.03901i) q^{94} +(6.27833 + 10.8744i) q^{95} +(-7.74969 + 5.99519i) 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
\(3\) −0.402456 + 1.68465i −0.232358 + 0.972630i
\(4\) 1.92693 + 0.535666i 0.963465 + 0.267833i
\(5\) −1.09212 + 1.89161i −0.488411 + 0.845953i −0.999911 0.0133302i \(-0.995757\pi\)
0.511500 + 0.859283i \(0.329090\pi\)
\(6\) −0.885940 + 2.28366i −0.361683 + 0.932301i
\(7\) −0.451847 2.60688i −0.170782 0.985309i
\(8\) 2.59770 + 1.11891i 0.918425 + 0.395594i
\(9\) −2.67606 1.35599i −0.892020 0.451997i
\(10\) −1.89188 + 2.44184i −0.598266 + 0.772179i
\(11\) 1.45052 0.837460i 0.437349 0.252504i −0.265123 0.964215i \(-0.585413\pi\)
0.702473 + 0.711711i \(0.252079\pi\)
\(12\) −1.67791 + 3.03061i −0.484371 + 0.874862i
\(13\) 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 −0.465810 0.884885i \(-0.654237\pi\)
0.533428 + 0.845846i \(0.320904\pi\)
\(18\) −3.49061 2.41157i −0.822744 0.568412i
\(19\) 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
\(21\) 4.57352 + 0.287952i 0.998024 + 0.0628364i
\(22\) 2.19260 0.896227i 0.467464 0.191076i
\(23\) 3.26717 5.65891i 0.681252 1.17996i −0.293346 0.956006i \(-0.594769\pi\)
0.974599 0.223958i \(-0.0718977\pi\)
\(24\) −2.93043 + 3.92589i −0.598171 + 0.801369i
\(25\) 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 \(-0.726842\pi\)
−0.653838 + 0.756635i \(0.726842\pi\)
\(30\) −3.35224 4.16989i −0.612033 0.761314i
\(31\) −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
\(33\) 0.827052 + 2.78066i 0.143971 + 0.484051i
\(34\) 0.421425 0.172258i 0.0722738 0.0295419i
\(35\) 5.42467 + 1.99231i 0.916937 + 0.336762i
\(36\) −4.43022 4.04637i −0.738370 0.674396i
\(37\) 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
\(39\) −2.62949 0.628175i −0.421055 0.100588i
\(40\) −4.95354 + 3.69185i −0.783224 + 0.583732i
\(41\) 3.44933i 0.538694i −0.963043 0.269347i \(-0.913192\pi\)
0.963043 0.269347i \(-0.0868079\pi\)
\(42\) 6.35355 + 1.27767i 0.980373 + 0.197149i
\(43\) −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
\(45\) 5.48758 3.58115i 0.818041 0.533846i
\(46\) 5.65973 7.30498i 0.834481 1.07706i
\(47\) 2.25371 3.90354i 0.328737 0.569390i −0.653524 0.756906i \(-0.726710\pi\)
0.982262 + 0.187516i \(0.0600436\pi\)
\(48\) −4.85662 + 4.94098i −0.700992 + 0.713169i
\(49\) −6.59167 + 2.35583i −0.941667 + 0.336546i
\(50\) 0.122582 + 0.299895i 0.0173357 + 0.0424115i
\(51\) 0.158962 + 0.534452i 0.0222591 + 0.0748382i
\(52\) −0.836097 + 3.00766i −0.115946 + 0.417087i
\(53\) 4.42876 + 7.67084i 0.608337 + 1.05367i 0.991515 + 0.129996i \(0.0414964\pi\)
−0.383177 + 0.923675i \(0.625170\pi\)
\(54\) 5.46745 4.90989i 0.744026 0.668151i
\(55\) 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 −0.807025 0.590517i \(-0.798924\pi\)
0.107890 + 0.994163i \(0.465591\pi\)
\(60\) −3.90025 6.48375i −0.503520 0.837048i
\(61\) 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
\(63\) −2.32574 + 7.58887i −0.293015 + 0.956108i
\(64\) 5.49608 + 5.81318i 0.687010 + 0.726648i
\(65\) −2.95253 1.70464i −0.366216 0.211435i
\(66\) 0.627399 + 4.05445i 0.0772275 + 0.499068i
\(67\) 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 \(-0.376599\pi\)
0.378037 + 0.925790i \(0.376599\pi\)
\(72\) −5.43436 6.51672i −0.640446 0.768003i
\(73\) −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
\(75\) −0.380327 + 0.113121i −0.0439164 + 0.0130621i
\(76\) 8.20557 8.05364i 0.941243 0.923816i
\(77\) −2.83858 3.40294i −0.323486 0.387801i
\(78\) −3.56446 1.38282i −0.403596 0.156574i
\(79\) −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
\(81\) 5.32258 + 7.25742i 0.591398 + 0.806380i
\(82\) 0.659306 4.83333i 0.0728082 0.533751i
\(83\) 9.06459i 0.994968i 0.867473 + 0.497484i \(0.165743\pi\)
−0.867473 + 0.497484i \(0.834257\pi\)
\(84\) 8.65861 + 3.00474i 0.944732 + 0.327844i
\(85\) 0.703162i 0.0762687i
\(86\) −16.3343 2.22813i −1.76137 0.240266i
\(87\) 2.83411 11.8634i 0.303849 1.27189i
\(88\) 4.70507 0.552465i 0.501562 0.0588929i
\(89\) −4.57586 2.64187i −0.485040 0.280038i 0.237474 0.971394i \(-0.423680\pi\)
−0.722515 + 0.691356i \(0.757014\pi\)
\(90\) 8.37391 3.96914i 0.882687 0.418384i
\(91\) 4.06896 0.705268i 0.426543 0.0739322i
\(92\) 9.32690 9.15421i 0.972397 0.954392i
\(93\) −4.43016 14.8948i −0.459386 1.54452i
\(94\) 3.90411 5.03901i 0.402678 0.519734i
\(95\) 6.27833 + 10.8744i 0.644143 + 1.11569i
\(96\) −7.74969 + 5.99519i −0.790950 + 0.611881i
\(97\) 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 0.716478 0.697610i \(-0.245753\pi\)
−0.962387 + 0.271683i \(0.912420\pi\)
\(102\) 0.120588 + 0.779278i 0.0119400 + 0.0771600i
\(103\) 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
\(105\) −5.53953 + 8.33683i −0.540603 + 0.813591i
\(106\) 4.73954 + 11.5952i 0.460344 + 1.12622i
\(107\) 3.83045 + 2.21151i 0.370303 + 0.213795i 0.673591 0.739104i \(-0.264751\pi\)
−0.303288 + 0.952899i \(0.598084\pi\)
\(108\) 8.59967 5.83486i 0.827504 0.561460i
\(109\) −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 \(0.217060\pi\)
−0.776367 + 0.630281i \(0.782940\pi\)
\(114\) 8.82283 + 10.9748i 0.826334 + 1.02788i
\(115\) 7.13629 + 12.3604i 0.665463 + 1.15262i
\(116\) −13.5695 3.77219i −1.25990 0.350239i
\(117\) 2.11650 4.17694i 0.195671 0.386158i
\(118\) −8.11749 + 3.31803i −0.747275 + 0.305449i
\(119\) −0.545583 0.654056i −0.0500136 0.0599572i
\(120\) −4.22587 9.83076i −0.385767 0.897422i
\(121\) −4.09732 + 7.09677i −0.372484 + 0.645161i
\(122\) 4.91281 + 3.80633i 0.444785 + 0.344609i
\(123\) 5.81089 + 1.38820i 0.523951 + 0.125170i
\(124\) −17.3749 + 4.48201i −1.56031 + 0.402496i
\(125\) −11.4216 −1.02158
\(126\) −4.70945 + 10.1893i −0.419551 + 0.907732i
\(127\) 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
\(129\) 4.69144 19.6380i 0.413059 1.72903i
\(130\) −3.81136 2.95295i −0.334279 0.258991i
\(131\) −14.8145 8.55318i −1.29435 0.747295i −0.314930 0.949115i \(-0.601981\pi\)
−0.979423 + 0.201820i \(0.935315\pi\)
\(132\) 0.104166 + 5.80116i 0.00906653 + 0.504926i
\(133\) −14.2773 5.24361i −1.23800 0.454678i
\(134\) 0.766320 + 1.87479i 0.0662000 + 0.161957i
\(135\) 3.82446 + 10.6859i 0.329157 + 0.919694i
\(136\) 0.904329 0.106185i 0.0775456 0.00910533i
\(137\) 17.9399 10.3576i 1.53271 0.884909i 0.533472 0.845818i \(-0.320887\pi\)
0.999236 0.0390917i \(-0.0124464\pi\)
\(138\) 10.0285 + 12.4746i 0.853684 + 1.06191i
\(139\) 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
\(144\) −6.36922 10.1702i −0.530769 0.847517i
\(145\) 7.69077 13.3208i 0.638684 1.10623i
\(146\) −4.80520 11.7558i −0.397681 0.972918i
\(147\) −1.31587 12.0527i −0.108532 0.994093i
\(148\) 1.53059 + 1.55946i 0.125814 + 0.128187i
\(149\) −2.47136 + 4.28052i −0.202461 + 0.350674i −0.949321 0.314308i \(-0.898227\pi\)
0.746859 + 0.664982i \(0.231561\pi\)
\(150\) −0.554550 + 0.0858130i −0.0452788 + 0.00700661i
\(151\) 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
\(156\) −4.73034 2.61898i −0.378731 0.209686i
\(157\) 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
\(159\) −14.7050 + 4.37372i −1.16618 + 0.346858i
\(160\) −11.5227 + 4.46049i −0.910952 + 0.352632i
\(161\) −16.2284 5.96017i −1.27897 0.469727i
\(162\) 6.07101 + 11.1867i 0.476984 + 0.878912i
\(163\) 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
\(165\) −6.16316 1.47236i −0.479801 0.114623i
\(166\) −1.73261 + 12.7016i −0.134477 + 0.985839i
\(167\) −7.01131 −0.542551 −0.271276 0.962502i \(-0.587445\pi\)
−0.271276 + 0.962502i \(0.587445\pi\)
\(168\) 11.5584 + 5.86537i 0.891753 + 0.452523i
\(169\) 10.5637 0.812595
\(170\) −0.134403 + 0.985297i −0.0103082 + 0.0755688i
\(171\) −14.4429 + 9.42530i −1.10447 + 0.720771i
\(172\) −22.4623 6.24428i −1.71274 0.476122i
\(173\) 7.11660 12.3263i 0.541065 0.937152i −0.457778 0.889066i \(-0.651355\pi\)
0.998843 0.0480854i \(-0.0153120\pi\)
\(174\) 6.23883 16.0817i 0.472965 1.21915i
\(175\) 0.465440 0.388249i 0.0351840 0.0293488i
\(176\) 6.69851 + 0.125195i 0.504919 + 0.00943693i
\(177\) −3.06193 10.2946i −0.230149 0.773790i
\(178\) −5.90690 4.57652i −0.442741 0.343025i
\(179\) −1.07613 + 0.621304i −0.0804338 + 0.0464384i −0.539677 0.841872i \(-0.681454\pi\)
0.459244 + 0.888310i \(0.348120\pi\)
\(180\) 12.4925 3.96112i 0.931135 0.295244i
\(181\) 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
\(186\) −3.36071 21.7179i −0.246419 1.59243i
\(187\) 0.269600 0.466960i 0.0197151 0.0341475i
\(188\) 6.43374 6.31461i 0.469228 0.460541i
\(189\) −11.8485 6.97223i −0.861855 0.507155i
\(190\) 6.71889 + 16.4376i 0.487440 + 1.19251i
\(191\) −12.2119 + 21.1516i −0.883621 + 1.53048i −0.0363339 + 0.999340i \(0.511568\pi\)
−0.847287 + 0.531136i \(0.821765\pi\)
\(192\) −12.0051 + 6.91940i −0.866392 + 0.499365i
\(193\) 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 \(-0.574197\pi\)
−0.230991 + 0.972956i \(0.574197\pi\)
\(198\) −7.08280 0.574790i −0.503353 0.0408485i
\(199\) 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
\(201\) −2.37761 + 0.707172i −0.167703 + 0.0498801i
\(202\) −2.64478 6.47039i −0.186086 0.455255i
\(203\) 3.18193 + 18.3578i 0.223328 + 1.28846i
\(204\) 0.0200211 + 1.11500i 0.00140176 + 0.0780657i
\(205\) 6.52478 + 3.76708i 0.455710 + 0.263104i
\(206\) 20.5014 + 15.8840i 1.42840 + 1.10669i
\(207\) −16.4166 + 10.7133i −1.14103 + 0.744627i
\(208\) −3.22220 + 5.34768i −0.223419 + 0.370795i
\(209\) 9.62870i 0.666031i
\(210\) −9.35570 + 10.6230i −0.645605 + 0.733060i
\(211\) −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
\(213\) −2.56396 + 10.7325i −0.175680 + 0.735381i
\(214\) 4.94466 + 3.83100i 0.338010 + 0.261882i
\(215\) 12.7309 22.0506i 0.868240 1.50384i
\(216\) 13.1655 6.53228i 0.895796 0.444466i
\(217\) 15.2050 + 18.2281i 1.03218 + 1.23740i
\(218\) −10.6565 + 4.35586i −0.721751 + 0.295016i
\(219\) 14.9087 4.43431i 1.00744 0.299643i
\(220\) −1.95970 + 7.04954i −0.132123 + 0.475280i
\(221\) 0.251239 + 0.435159i 0.0169002 + 0.0292720i
\(222\) −2.08576 + 1.67677i −0.139987 + 0.112538i
\(223\) 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 −0.128014 0.991772i \(-0.540860\pi\)
0.794893 + 0.606749i \(0.207527\pi\)
\(228\) 10.2651 + 17.0647i 0.679826 + 1.13014i
\(229\) 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
\(231\) 6.87515 3.41246i 0.452352 0.224523i
\(232\) −18.2931 7.87942i −1.20100 0.517309i
\(233\) 6.94161 + 4.00774i 0.454760 + 0.262556i 0.709838 0.704365i \(-0.248768\pi\)
−0.255079 + 0.966920i \(0.582101\pi\)
\(234\) 3.76410 5.44833i 0.246067 0.356169i
\(235\) 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 \(-0.437580\pi\)
0.194843 + 0.980834i \(0.437580\pi\)
\(240\) −4.04239 14.5830i −0.260935 0.941326i
\(241\) 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
\(243\) −14.3683 + 6.04587i −0.921726 + 0.387843i
\(244\) 6.15647 + 6.27261i 0.394128 + 0.401563i
\(245\) 2.74260 15.0417i 0.175218 0.960979i
\(246\) 7.87710 + 3.05590i 0.502225 + 0.194837i
\(247\) 7.77081 + 4.48648i 0.494445 + 0.285468i
\(248\) −25.2030 + 2.95931i −1.60039 + 0.187917i
\(249\) −15.2706 3.64810i −0.967736 0.231189i
\(250\) −16.0044 2.18313i −1.01220 0.138073i
\(251\) 9.97684i 0.629733i 0.949136 + 0.314866i \(0.101960\pi\)
−0.949136 + 0.314866i \(0.898040\pi\)
\(252\) −8.54664 + 13.3774i −0.538387 + 0.842697i
\(253\) 10.9445i 0.688075i
\(254\) 2.39606 17.5654i 0.150342 1.10215i
\(255\) −1.18458 0.282992i −0.0741812 0.0177216i
\(256\) 7.47664 + 14.1457i 0.467290 + 0.884104i
\(257\) 17.1555 + 9.90475i 1.07013 + 0.617841i 0.928218 0.372038i \(-0.121341\pi\)
0.141915 + 0.989879i \(0.454674\pi\)
\(258\) 10.3274 26.6207i 0.642958 1.65733i
\(259\) 0.996544 2.71339i 0.0619222 0.168602i
\(260\) −4.77619 4.86629i −0.296207 0.301795i
\(261\) 18.8449 + 9.54895i 1.16647 + 0.591065i
\(262\) −19.1238 14.8167i −1.18147 0.915379i
\(263\) −3.41780 5.91981i −0.210751 0.365031i 0.741199 0.671285i \(-0.234258\pi\)
−0.951950 + 0.306254i \(0.900924\pi\)
\(264\) −0.962875 + 8.14871i −0.0592608 + 0.501519i
\(265\) −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 \(0.0969338\pi\)
−0.217324 + 0.976099i \(0.569733\pi\)
\(270\) 3.31647 + 15.7045i 0.201834 + 0.955743i
\(271\) −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
\(273\) −0.449452 + 7.13860i −0.0272021 + 0.432048i
\(274\) 27.1178 11.0844i 1.63825 0.669634i
\(275\) 0.332299 + 0.191853i 0.0200384 + 0.0115692i
\(276\) 11.6679 + 19.3967i 0.702327 + 1.16754i
\(277\) 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 \(0.135964\pi\)
−0.910152 + 0.414273i \(0.864036\pi\)
\(282\) 6.91771 + 8.60501i 0.411944 + 0.512421i
\(283\) 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
\(285\) −20.8462 + 6.20030i −1.23482 + 0.367274i
\(286\) 1.39888 + 3.42233i 0.0827175 + 0.202367i
\(287\) −8.99199 + 1.55857i −0.530780 + 0.0919994i
\(288\) −6.98085 15.4683i −0.411351 0.911477i
\(289\) −8.44818 + 14.6327i −0.496952 + 0.860746i
\(290\) 13.3227 17.1956i 0.782338 1.00976i
\(291\) −1.70300 + 7.12863i −0.0998319 + 0.417888i
\(292\) −4.48621 17.3912i −0.262535 1.01774i
\(293\) 15.6381 0.913587 0.456794 0.889573i \(-0.348998\pi\)
0.456794 + 0.889573i \(0.348998\pi\)
\(294\) 0.459914 17.1403i 0.0268227 0.999640i
\(295\) 13.5443i 0.788581i
\(296\) 1.84664 + 2.47774i 0.107334 + 0.144015i
\(297\) 1.55731 8.56268i 0.0903641 0.496857i
\(298\) −4.28114 + 5.52564i −0.248000 + 0.320092i
\(299\) 8.83273 + 5.09958i 0.510810 + 0.294916i
\(300\) −0.793458 + 0.0142475i −0.0458103 + 0.000822577i
\(301\) 5.26720 + 30.3885i 0.303597 + 1.75157i
\(302\) 8.29267 3.38963i 0.477190 0.195052i
\(303\) 8.20576 2.44064i 0.471409 0.140211i
\(304\) 20.1256 11.1234i 1.15428 0.637968i
\(305\) −8.31274 + 4.79936i −0.475986 + 0.274811i
\(306\) −1.36134 0.110476i −0.0778225 0.00631552i
\(307\) 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 0.715896 0.698207i \(-0.246018\pi\)
−0.962613 + 0.270881i \(0.912685\pi\)
\(312\) −6.12774 4.57397i −0.346915 0.258950i
\(313\) 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
\(315\) −11.8152 12.6873i −0.665710 0.714851i
\(316\) −5.80417 5.91366i −0.326510 0.332669i
\(317\) −1.83178 + 3.17274i −0.102883 + 0.178199i −0.912871 0.408247i \(-0.866140\pi\)
0.809988 + 0.586446i \(0.199473\pi\)
\(318\) −21.4412 + 3.31789i −1.20236 + 0.186058i
\(319\) −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
\(324\) 6.36869 + 16.8357i 0.353816 + 0.935315i
\(325\) −0.309668 + 0.178787i −0.0171773 + 0.00991732i
\(326\) 7.72741 9.97372i 0.427981 0.552393i
\(327\) −4.01965 13.5146i −0.222287 0.747360i
\(328\) 3.85949 8.96031i 0.213104 0.494751i
\(329\) −11.1944 4.11135i −0.617167 0.226666i
\(330\) −8.35462 3.24115i −0.459907 0.178419i
\(331\) 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
\(333\) −1.79127 2.74486i −0.0981612 0.150417i
\(334\) −9.82450 1.34014i −0.537573 0.0733294i
\(335\) −3.12815 −0.170909
\(336\) 15.0750 + 10.4281i 0.822409 + 0.568897i
\(337\) −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
\(339\) −22.5742 5.39289i −1.22606 0.292901i
\(340\) −0.376660 + 1.35495i −0.0204273 + 0.0734822i
\(341\) −7.51355 + 13.0139i −0.406882 + 0.704740i
\(342\) −22.0395 + 10.4465i −1.19176 + 0.564880i
\(343\) 9.11979 + 16.1192i 0.492422 + 0.870357i
\(344\) −30.2815 13.0432i −1.63267 0.703241i
\(345\) −23.6950 + 7.04760i −1.27569 + 0.379430i
\(346\) 12.3281 15.9118i 0.662762 0.855424i
\(347\) −5.06136 + 2.92218i −0.271708 + 0.156871i −0.629664 0.776868i \(-0.716807\pi\)
0.357955 + 0.933739i \(0.383474\pi\)
\(348\) 11.8159 21.3417i 0.633401 1.14404i
\(349\) 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 −0.338167 0.941086i \(-0.609807\pi\)
0.645921 + 0.763404i \(0.276473\pi\)
\(354\) −2.32277 15.0104i −0.123454 0.797796i
\(355\) −6.95768 + 12.0511i −0.369275 + 0.639603i
\(356\) −7.40220 7.54184i −0.392316 0.399717i
\(357\) 1.32143 0.655886i 0.0699373 0.0347132i
\(358\) −1.62667 + 0.664902i −0.0859722 + 0.0351412i
\(359\) 12.1282 21.0067i 0.640102 1.10869i −0.345307 0.938490i \(-0.612225\pi\)
0.985410 0.170200i \(-0.0544414\pi\)
\(360\) 18.2621 3.16264i 0.962496 0.166686i
\(361\) −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
\(366\) −8.38951 + 6.74447i −0.438527 + 0.352539i
\(367\) −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
\(369\) −4.67725 + 9.23060i −0.243488 + 0.480526i
\(370\) −3.12396 + 1.27692i −0.162407 + 0.0663840i
\(371\) 17.9958 15.0113i 0.934298 0.779348i
\(372\) −0.557975 31.0743i −0.0289296 1.61113i
\(373\) −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
\(375\) 4.59669 19.2413i 0.237372 0.993618i
\(376\) 10.2222 7.61852i 0.527168 0.392895i
\(377\) 10.9916i 0.566097i
\(378\) −15.2699 12.0345i −0.785401 0.618987i
\(379\) 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
\(381\) 21.1181 + 5.04503i 1.08191 + 0.258465i
\(382\) −21.1547 + 27.3042i −1.08237 + 1.39701i
\(383\) −15.1532 + 26.2461i −0.774292 + 1.34111i 0.160900 + 0.986971i \(0.448560\pi\)
−0.935192 + 0.354142i \(0.884773\pi\)
\(384\) −18.1445 + 7.40106i −0.925935 + 0.377684i
\(385\) 9.53710 1.65305i 0.486056 0.0842474i
\(386\) 0.00709102 + 0.0173480i 0.000360924 + 0.000882992i
\(387\) 31.1949 + 15.8068i 1.58573 + 0.803507i
\(388\) 8.15387 + 2.26669i 0.413950 + 0.115074i
\(389\) −2.13059 3.69030i −0.108025 0.187106i 0.806945 0.590627i \(-0.201119\pi\)
−0.914970 + 0.403521i \(0.867786\pi\)
\(390\) 6.50858 5.23236i 0.329575 0.264951i
\(391\) 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
\(396\) −9.81482 2.15923i −0.493213 0.108505i
\(397\) 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
\(399\) 14.5796 21.9419i 0.729893 1.09847i
\(400\) −0.0171236 + 0.916195i −0.000856182 + 0.0458097i
\(401\) 1.98773 + 1.14762i 0.0992627 + 0.0573094i 0.548810 0.835947i \(-0.315081\pi\)
−0.449547 + 0.893257i \(0.648415\pi\)
\(402\) −3.46676 + 0.536459i −0.172906 + 0.0267561i
\(403\) −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
\(408\) −0.185068 + 1.56621i −0.00916221 + 0.0775389i
\(409\) −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
\(411\) 10.2289 + 34.3908i 0.504553 + 1.69637i
\(412\) 25.6912 + 26.1758i 1.26571 + 1.28959i
\(413\) 10.5090 + 12.5984i 0.517116 + 0.619928i
\(414\) −25.0513 + 11.8740i −1.23120 + 0.583576i
\(415\) −17.1467 9.89963i −0.841696 0.485954i
\(416\) −5.53723 + 6.87747i −0.271485 + 0.337196i
\(417\) −0.512145 + 2.14380i −0.0250799 + 0.104982i
\(418\) 1.84043 13.4921i 0.0900186 0.659920i
\(419\) 8.44514i 0.412572i 0.978492 + 0.206286i \(0.0661378\pi\)
−0.978492 + 0.206286i \(0.933862\pi\)
\(420\) −15.1400 + 13.0972i −0.738759 + 0.639076i
\(421\) 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
\(423\) −11.3242 + 7.39009i −0.550602 + 0.359319i
\(424\) 2.92161 + 24.8819i 0.141886 + 1.20837i
\(425\) 0.0638689 + 0.0368747i 0.00309809 + 0.00178869i
\(426\) −5.64414 + 14.5487i −0.273460 + 0.704889i
\(427\) 4.00839 10.9140i 0.193979 0.528168i
\(428\) 6.19638 + 6.31327i 0.299513 + 0.305163i
\(429\) −4.34020 + 1.29091i −0.209547 + 0.0623256i
\(430\) 22.0538 28.4647i 1.06353 1.37269i
\(431\) −16.9743 29.4004i −0.817624 1.41617i −0.907428 0.420207i \(-0.861957\pi\)
0.0898039 0.995959i \(-0.471376\pi\)
\(432\) 19.6965 6.63683i 0.947649 0.319314i
\(433\) 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
\(438\) 21.7383 3.36386i 1.03869 0.160731i
\(439\) −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
\(441\) 20.8342 + 2.63391i 0.992103 + 0.125424i
\(442\) 0.268869 + 0.657783i 0.0127888 + 0.0312875i
\(443\) −32.0121 18.4822i −1.52094 0.878115i −0.999695 0.0247072i \(-0.992135\pi\)
−0.521244 0.853407i \(-0.674532\pi\)
\(444\) −3.24314 + 1.95089i −0.153912 + 0.0925849i
\(445\) 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 \(0.186438\pi\)
−0.833319 + 0.552793i \(0.813562\pi\)
\(450\) 0.0786173 0.968756i 0.00370606 0.0456676i
\(451\) −2.88868 5.00333i −0.136022 0.235598i
\(452\) −7.17790 + 25.8208i −0.337620 + 1.21451i
\(453\) 3.12801 + 10.5168i 0.146967 + 0.494121i
\(454\) 15.1878 6.20802i 0.712799 0.291357i
\(455\) −3.10971 + 8.46712i −0.145785 + 0.396945i
\(456\) 11.1221 + 25.8738i 0.520842 + 1.21165i
\(457\) 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
\(459\) 0.299319 1.64577i 0.0139710 0.0768182i
\(460\) 7.13008 + 27.6403i 0.332442 + 1.28874i
\(461\) 23.5461 1.09665 0.548325 0.836266i \(-0.315266\pi\)
0.548325 + 0.836266i \(0.315266\pi\)
\(462\) 10.2860 3.46755i 0.478547 0.161325i
\(463\) 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
\(465\) 33.0134 + 7.88678i 1.53096 + 0.365741i
\(466\) 8.96079 + 6.94261i 0.415101 + 0.321610i
\(467\) −13.0084 7.51039i −0.601956 0.347540i 0.167855 0.985812i \(-0.446316\pi\)
−0.769811 + 0.638272i \(0.779649\pi\)
\(468\) 6.31580 6.91493i 0.291948 0.319643i
\(469\) 2.90969 2.42713i 0.134357 0.112074i
\(470\) 5.26808 + 12.8882i 0.242998 + 0.594491i
\(471\) 1.19312 + 4.01144i 0.0549762 + 0.184837i
\(472\) −17.4192 + 2.04535i −0.801783 + 0.0941447i
\(473\) −16.9088 + 9.76231i −0.777468 + 0.448872i
\(474\) 7.90942 6.35851i 0.363292 0.292056i
\(475\) 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 \(0.000200335\pi\)
−0.499455 + 0.866340i \(0.666466\pi\)
\(480\) −2.87695 21.2069i −0.131314 0.967956i
\(481\) −0.852653 + 1.47684i −0.0388776 + 0.0673380i
\(482\) 5.47839 + 13.4028i 0.249534 + 0.610480i
\(483\) 16.5720 24.9403i 0.754051 1.13482i
\(484\) −11.6967 + 11.4802i −0.531670 + 0.521826i
\(485\) −4.62134 + 8.00440i −0.209844 + 0.363461i
\(486\) −21.2890 + 5.72534i −0.965688 + 0.259707i
\(487\) 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 \(-0.739509\pi\)
0.683422 0.730024i \(-0.260491\pi\)
\(492\) 10.4536 + 5.78767i 0.471283 + 0.260928i
\(493\) −1.96329 + 1.13351i −0.0884222 + 0.0510506i
\(494\) 10.0312 + 7.77194i 0.451325 + 0.349676i
\(495\) 4.96080 9.79018i 0.222971 0.440036i
\(496\) −35.8810 0.670615i −1.61111 0.0301115i
\(497\) −2.87863 16.6079i −0.129124 0.744967i
\(498\) −20.7005 8.03068i −0.927610 0.359863i
\(499\) −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
\(501\) 2.82174 11.8116i 0.126066 0.527702i
\(502\) −1.90698 + 13.9799i −0.0851126 + 0.623954i
\(503\) −33.4106 −1.48970 −0.744852 0.667229i \(-0.767480\pi\)
−0.744852 + 0.667229i \(0.767480\pi\)
\(504\) −14.5328 + 17.1113i −0.647344 + 0.762198i
\(505\) 10.7961 0.480419
\(506\) 2.09194 15.3359i 0.0929980 0.681762i
\(507\) −4.25144 + 17.7961i −0.188813 + 0.790354i
\(508\) 6.71491 24.1553i 0.297926 1.07172i
\(509\) −8.44815 + 14.6326i −0.374458 + 0.648580i −0.990246 0.139332i \(-0.955504\pi\)
0.615788 + 0.787912i \(0.288838\pi\)
\(510\) −1.60578 0.622960i −0.0711054 0.0275851i
\(511\) −18.2452 + 15.2193i −0.807118 + 0.673261i
\(512\) 7.77274 + 21.2505i 0.343510 + 0.939149i
\(513\) −10.0657 28.1244i −0.444410 1.24172i
\(514\) 22.1458 + 17.1580i 0.976808 + 0.756808i
\(515\) −34.6894 + 20.0279i −1.52860 + 0.882536i
\(516\) 19.5595 35.3280i 0.861059 1.55523i
\(517\) 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 −0.989775 0.142639i \(-0.954441\pi\)
−0.371358 + 0.928490i \(0.621108\pi\)
\(522\) 24.5810 + 16.9824i 1.07588 + 0.743298i
\(523\) −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
\(525\) 0.466742 + 0.940354i 0.0203703 + 0.0410404i
\(526\) −3.65764 8.94834i −0.159481 0.390166i
\(527\) −1.44413 + 2.50130i −0.0629072 + 0.108959i
\(528\) −2.90676 + 11.2342i −0.126501 + 0.488907i
\(529\) −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
\(534\) 10.0871 8.10918i 0.436511 0.350918i
\(535\) −8.36662 + 4.83047i −0.361721 + 0.208840i
\(536\) 0.472386 + 4.02308i 0.0204040 + 0.173770i
\(537\) −0.613582 2.06295i −0.0264780 0.0890227i
\(538\) 12.9300 + 31.6331i 0.557453 + 1.36380i
\(539\) −7.58846 + 8.93744i −0.326858 + 0.384963i
\(540\) 1.64540 + 22.6396i 0.0708067 + 0.974253i
\(541\) −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
\(543\) 35.2911 + 8.43092i 1.51449 + 0.361806i
\(544\) 1.79946 + 0.279807i 0.0771512 + 0.0119966i
\(545\) 17.7808i 0.761645i
\(546\) −1.99426 + 9.91696i −0.0853466 + 0.424407i
\(547\) 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
\(549\) −7.20502 11.0406i −0.307503 0.471202i
\(550\) 0.428958 + 0.332347i 0.0182908 + 0.0141713i
\(551\) −20.2415 + 35.0593i −0.862317 + 1.49358i
\(552\) 12.6420 + 29.4096i 0.538081 + 1.25175i
\(553\) −3.77901 + 10.2895i −0.160700 + 0.437554i
\(554\) 19.5373 7.98588i 0.830060 0.339288i
\(555\) −1.17836 3.96181i −0.0500187 0.168170i
\(556\) 2.45212 + 0.681662i 0.103993 + 0.0289089i
\(557\) −0.649106 1.12428i −0.0275035 0.0476375i 0.851946 0.523630i \(-0.175422\pi\)
−0.879450 + 0.475992i \(0.842089\pi\)
\(558\) 37.9395 + 3.07890i 1.60611 + 0.130340i
\(559\) 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 0.106070 0.994359i \(-0.466173\pi\)
0.914175 + 0.405320i \(0.132840\pi\)
\(564\) 8.04859 + 13.3799i 0.338907 + 0.563396i
\(565\) −25.3475 14.6344i −1.06638 0.615672i
\(566\) 3.09135 + 7.56293i 0.129939 + 0.317894i
\(567\) 16.5142 17.1546i 0.693533 0.720425i
\(568\) 16.5494 + 7.12835i 0.694398 + 0.299099i
\(569\) 26.1457 + 15.0952i 1.09608 + 0.632825i 0.935190 0.354147i \(-0.115229\pi\)
0.160895 + 0.986972i \(0.448562\pi\)
\(570\) −30.3956 + 4.70353i −1.27313 + 0.197009i
\(571\) −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
\(576\) −6.82522 23.0091i −0.284384 0.958710i
\(577\) 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
\(579\) −0.0220008 + 0.00654370i −0.000914322 + 0.000271947i
\(580\) 21.9551 21.5486i 0.911635 0.894756i
\(581\) 23.6303 4.09581i 0.980351 0.169923i
\(582\) −3.74888 + 9.66339i −0.155396 + 0.400560i
\(583\) 12.8480 + 7.41782i 0.532112 + 0.307215i
\(584\) −2.96209 25.2266i −0.122572 1.04389i
\(585\) 5.58965 + 8.56532i 0.231104 + 0.354132i
\(586\) 21.9127 + 2.98907i 0.905204 + 0.123477i
\(587\) 1.97510i 0.0815212i −0.999169 0.0407606i \(-0.987022\pi\)
0.999169 0.0407606i \(-0.0129781\pi\)
\(588\) 3.92065 23.9297i 0.161685 0.986842i
\(589\) 51.5768i 2.12518i
\(590\) 2.58887 18.9788i 0.106582 0.781345i
\(591\) 2.60961 10.9236i 0.107345 0.449337i
\(592\) 2.11399 + 3.82486i 0.0868844 + 0.157201i
\(593\) 14.0265 + 8.09823i 0.576001 + 0.332554i 0.759543 0.650458i \(-0.225423\pi\)
−0.183542 + 0.983012i \(0.558756\pi\)
\(594\) 3.81883 11.7007i 0.156689 0.480085i
\(595\) 1.83306 0.317722i 0.0751482 0.0130253i
\(596\) −7.05506 + 6.92443i −0.288987 + 0.283636i
\(597\) 2.54876 + 8.56926i 0.104314 + 0.350717i
\(598\) 11.4020 + 8.83401i 0.466263 + 0.361250i
\(599\) 7.00327 + 12.1300i 0.286146 + 0.495619i 0.972886 0.231283i \(-0.0742925\pi\)
−0.686741 + 0.726903i \(0.740959\pi\)
\(600\) −1.11455 0.131698i −0.0455012 0.00537655i
\(601\) −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
\(606\) 11.9647 1.85146i 0.486034 0.0752106i
\(607\) 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
\(609\) −32.2070 2.02778i −1.30509 0.0821696i
\(610\) −12.5655 + 5.13615i −0.508761 + 0.207956i
\(611\) 6.09286 + 3.51771i 0.246491 + 0.142311i
\(612\) −1.88644 0.415010i −0.0762548 0.0167758i
\(613\) −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 \(-0.711205\pi\)
0.615893 0.787830i \(-0.288795\pi\)
\(618\) −35.0097 + 28.1449i −1.40830 + 1.13215i
\(619\) 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
\(621\) −11.4412 31.9677i −0.459119 1.28282i
\(622\) −4.65621 11.3913i −0.186697 0.456750i
\(623\) −4.81946 + 13.1225i −0.193088 + 0.525740i
\(624\) −7.71215 7.58047i −0.308733 0.303462i
\(625\) 11.9010 20.6132i 0.476042 0.824528i
\(626\) 16.5875 21.4094i 0.662970 0.855691i
\(627\) 16.2209 + 3.87513i 0.647802 + 0.154758i
\(628\) 4.67937 1.20709i 0.186727 0.0481680i
\(629\) 0.351718 0.0140239
\(630\) −14.1308 20.0363i −0.562985 0.798267i
\(631\) 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
\(633\) 6.77563 28.3622i 0.269307 1.12730i
\(634\) −3.17320 + 4.09563i −0.126024 + 0.162658i
\(635\) 23.7125 + 13.6904i 0.941002 + 0.543287i
\(636\) −30.6784 + 0.550866i −1.21648 + 0.0218433i
\(637\) −3.67710 10.2886i −0.145692 0.407650i
\(638\) −15.4404 + 6.31127i −0.611292 + 0.249866i
\(639\) −17.0486 8.63874i −0.674433 0.341743i
\(640\) −24.5928 + 2.42271i −0.972117 + 0.0957661i
\(641\) 26.2428 15.1513i 1.03653 0.598439i 0.117680 0.993052i \(-0.462454\pi\)
0.918848 + 0.394612i \(0.129121\pi\)
\(642\) −8.44389 + 6.78818i −0.333254 + 0.267908i
\(643\) −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 0.863441 0.504450i \(-0.168305\pi\)
−0.868587 + 0.495537i \(0.834971\pi\)
\(648\) 5.70606 + 24.8081i 0.224155 + 0.974553i
\(649\) −5.19303 + 8.99459i −0.203844 + 0.353069i
\(650\) −0.468092 + 0.191333i −0.0183601 + 0.00750469i
\(651\) −36.8272 + 18.2791i −1.44337 + 0.716413i
\(652\) 12.7343 12.4985i 0.498714 0.489480i
\(653\) 22.1548 38.3732i 0.866984 1.50166i 0.00192051 0.999998i \(-0.499389\pi\)
0.865064 0.501662i \(-0.167278\pi\)
\(654\) −3.04930 19.7055i −0.119237 0.770546i
\(655\) 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 \(0.150993\pi\)
−0.889586 + 0.456767i \(0.849007\pi\)
\(660\) −11.0873 6.13853i −0.431572 0.238942i
\(661\) −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
\(663\) −0.834201 + 0.248117i −0.0323977 + 0.00963605i
\(664\) −10.1425 + 23.5471i −0.393604 + 0.913804i
\(665\) 25.5114 21.2804i 0.989289 0.825219i
\(666\) −1.98534 4.18858i −0.0769305 0.162304i
\(667\) −23.0076 + 39.8503i −0.890857 + 1.54301i
\(668\) −13.5103 3.75572i −0.522729 0.145313i
\(669\) −3.03523 0.725105i −0.117349 0.0280342i
\(670\) −4.38328 0.597916i −0.169341 0.0230995i
\(671\) 7.36050 0.284149
\(672\) 19.1304 + 17.4936i 0.737972 + 0.674831i
\(673\) −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
\(675\) 1.17117 + 0.213002i 0.0450783 + 0.00819845i
\(676\) 20.3556 + 5.65864i 0.782907 + 0.217640i
\(677\) 13.0777 22.6513i 0.502618 0.870559i −0.497378 0.867534i \(-0.665704\pi\)
0.999995 0.00302522i \(-0.000962959\pi\)
\(678\) −30.6010 11.8716i −1.17522 0.455924i
\(679\) −1.91201 11.0311i −0.0733761 0.423335i
\(680\) −0.786775 + 1.82660i −0.0301715 + 0.0700471i
\(681\) 5.72886 + 19.2612i 0.219530 + 0.738090i
\(682\) −13.0157 + 16.7993i −0.498398 + 0.643280i
\(683\) 19.0543 11.0010i 0.729092 0.420942i −0.0889978 0.996032i \(-0.528366\pi\)
0.818090 + 0.575090i \(0.195033\pi\)
\(684\) −32.8792 + 10.4253i −1.25717 + 0.398623i
\(685\) 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
\(690\) −34.5493 + 5.34629i −1.31527 + 0.203530i
\(691\) 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
\(693\) 2.98184 + 12.9556i 0.113271 + 0.492141i
\(694\) −7.65072 + 3.12724i −0.290417 + 0.118708i
\(695\) −1.38978 + 2.40717i −0.0527173 + 0.0913091i
\(696\) 20.6362 27.6463i 0.782213 1.04793i
\(697\) −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 \(-0.660732\pi\)
−0.483767 + 0.875197i \(0.660732\pi\)
\(702\) 7.66362 + 8.53389i 0.289245 + 0.322091i
\(703\) 5.43931 3.14039i 0.205147 0.118442i
\(704\) 12.8405 + 3.82941i 0.483945 + 0.144326i
\(705\) −16.3449 + 4.86146i −0.615584 + 0.183093i
\(706\) 8.74031 3.57261i 0.328946 0.134457i
\(707\) −10.0421 + 8.37668i −0.377673 + 0.315037i
\(708\) −0.385647 21.4772i −0.0144935 0.807162i
\(709\) −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
\(711\) 6.79271 + 10.4088i 0.254746 + 0.390361i
\(712\) −8.93069 11.9828i −0.334692 0.449073i
\(713\) 58.6250i 2.19552i
\(714\) 1.97700 0.666474i 0.0739873 0.0249421i
\(715\) −5.71028 −0.213552
\(716\) −2.40644 + 0.620763i −0.0899329 + 0.0231990i
\(717\) −2.42456 + 10.1490i −0.0905467 + 0.379021i
\(718\) 21.0097 27.1171i 0.784076 1.01200i
\(719\) 19.9630 34.5770i 0.744496 1.28950i −0.205934 0.978566i \(-0.566023\pi\)
0.950430 0.310939i \(-0.100643\pi\)
\(720\) 26.1940 0.940990i 0.976193 0.0350686i
\(721\) 16.7271 45.5447i 0.622952 1.69617i
\(722\) −7.51695 18.3901i −0.279752 0.684408i
\(723\) −16.9974 + 5.05555i −0.632141 + 0.188018i
\(724\) 11.2215 40.3667i 0.417044 1.50022i
\(725\) −0.806627 1.39712i −0.0299574 0.0518877i
\(726\) −12.5766 15.6442i −0.466763 0.580611i
\(727\) 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
\(732\) −13.0448 + 7.84702i −0.482151 + 0.290034i
\(733\) −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
\(735\) 24.2362 + 10.6739i 0.893964 + 0.393714i
\(736\) 34.4712 13.3439i 1.27063 0.491863i
\(737\) 2.07736 + 1.19936i 0.0765205 + 0.0441791i
\(738\) −8.31828 + 12.0402i −0.306200 + 0.443208i
\(739\) −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 \(-0.579855\pi\)
−0.248248 + 0.968697i \(0.579855\pi\)
\(744\) 5.15770 43.6491i 0.189091 1.60025i
\(745\) −5.39804 9.34968i −0.197769 0.342546i
\(746\) −21.8960 16.9645i −0.801668 0.621113i
\(747\) 12.2915 24.2574i 0.449722 0.887531i
\(748\) 0.769635 0.755385i 0.0281406 0.0276196i
\(749\) 4.03437 10.9848i 0.147413 0.401375i
\(750\) 10.1188 26.0831i 0.369488 0.952418i
\(751\) 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
\(753\) −16.8074 4.01524i −0.612497 0.146323i
\(754\) 2.10094 15.4019i 0.0765118 0.560903i
\(755\) 13.8366i 0.503566i
\(756\) −19.0965 19.7819i −0.694535 0.719459i
\(757\) 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
\(759\) 18.4376 + 4.40468i 0.669243 + 0.159880i
\(760\) 4.14175 + 35.2733i 0.150237 + 1.27950i
\(761\) 8.79472 + 5.07763i 0.318808 + 0.184064i 0.650861 0.759197i \(-0.274408\pi\)
−0.332053 + 0.943261i \(0.607741\pi\)
\(762\) 28.6271 + 11.1058i 1.03705 + 0.402321i
\(763\) 13.7961 + 16.5390i 0.499452 + 0.598753i
\(764\) −34.8616 + 34.2162i −1.26125 + 1.23790i
\(765\) 0.953481 1.88170i 0.0344732 0.0680331i
\(766\) −26.2499 + 33.8806i −0.948447 + 1.22416i
\(767\) −4.83937 8.38203i −0.174740 0.302658i
\(768\) −26.8394 + 6.90249i −0.968485 + 0.249072i
\(769\) 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 + 1.14287i 0.980658 +