Properties

Label 731.2.e.a.307.7
Level 731
Weight 2
Character 731.307
Analytic conductor 5.837
Analytic rank 0
Dimension 58
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(58\)
Relative dimension: \(29\) over \(\Q(\zeta_{3})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 307.7
Character \(\chi\) = 731.307
Dual form 731.2.e.a.681.7

$q$-expansion

\(f(q)\) \(=\) \(q-1.84257 q^{2} +(-1.58757 + 2.74976i) q^{3} +1.39506 q^{4} +(0.0845289 - 0.146408i) q^{5} +(2.92522 - 5.06662i) q^{6} +(1.30280 + 2.25652i) q^{7} +1.11464 q^{8} +(-3.54079 - 6.13282i) q^{9} +O(q^{10})\) \(q-1.84257 q^{2} +(-1.58757 + 2.74976i) q^{3} +1.39506 q^{4} +(0.0845289 - 0.146408i) q^{5} +(2.92522 - 5.06662i) q^{6} +(1.30280 + 2.25652i) q^{7} +1.11464 q^{8} +(-3.54079 - 6.13282i) q^{9} +(-0.155750 + 0.269768i) q^{10} -1.29097 q^{11} +(-2.21477 + 3.83609i) q^{12} +(2.98789 + 5.17519i) q^{13} +(-2.40050 - 4.15780i) q^{14} +(0.268392 + 0.464868i) q^{15} -4.84392 q^{16} +(0.500000 + 0.866025i) q^{17} +(6.52415 + 11.3002i) q^{18} +(-0.660405 + 1.14385i) q^{19} +(0.117923 - 0.204249i) q^{20} -8.27318 q^{21} +2.37870 q^{22} +(-4.19904 + 7.27295i) q^{23} +(-1.76957 + 3.06498i) q^{24} +(2.48571 + 4.30538i) q^{25} +(-5.50540 - 9.53564i) q^{26} +12.9596 q^{27} +(1.81749 + 3.14799i) q^{28} +(-1.16057 - 2.01016i) q^{29} +(-0.494531 - 0.856552i) q^{30} +(-1.30616 + 2.26233i) q^{31} +6.69600 q^{32} +(2.04951 - 3.54986i) q^{33} +(-0.921285 - 1.59571i) q^{34} +0.440498 q^{35} +(-4.93962 - 8.55568i) q^{36} +(-0.123320 + 0.213596i) q^{37} +(1.21684 - 2.10763i) q^{38} -18.9740 q^{39} +(0.0942189 - 0.163192i) q^{40} +12.3177 q^{41} +15.2439 q^{42} +(-6.17403 + 2.20937i) q^{43} -1.80099 q^{44} -1.19719 q^{45} +(7.73702 - 13.4009i) q^{46} -8.56968 q^{47} +(7.69009 - 13.3196i) q^{48} +(0.105411 - 0.182578i) q^{49} +(-4.58009 - 7.93296i) q^{50} -3.17515 q^{51} +(4.16831 + 7.21972i) q^{52} +(5.09335 - 8.82193i) q^{53} -23.8790 q^{54} +(-0.109124 + 0.189009i) q^{55} +(1.45215 + 2.51520i) q^{56} +(-2.09688 - 3.63191i) q^{57} +(2.13843 + 3.70386i) q^{58} -5.38809 q^{59} +(0.374424 + 0.648521i) q^{60} +(-0.0666998 - 0.115527i) q^{61} +(2.40669 - 4.16850i) q^{62} +(9.22589 - 15.9797i) q^{63} -2.65000 q^{64} +1.01025 q^{65} +(-3.77637 + 6.54086i) q^{66} +(-2.40271 + 4.16162i) q^{67} +(0.697532 + 1.20816i) q^{68} +(-13.3326 - 23.0927i) q^{69} -0.811648 q^{70} +(-3.77465 - 6.53789i) q^{71} +(-3.94669 - 6.83586i) q^{72} +(-1.06385 - 1.84265i) q^{73} +(0.227225 - 0.393566i) q^{74} -15.7850 q^{75} +(-0.921307 + 1.59575i) q^{76} +(-1.68188 - 2.91310i) q^{77} +34.9610 q^{78} +(-3.46807 - 6.00688i) q^{79} +(-0.409451 + 0.709191i) q^{80} +(-9.95197 + 17.2373i) q^{81} -22.6962 q^{82} +(6.35856 - 11.0133i) q^{83} -11.5416 q^{84} +0.169058 q^{85} +(11.3761 - 4.07092i) q^{86} +7.36994 q^{87} -1.43896 q^{88} +(-2.63352 + 4.56139i) q^{89} +2.20591 q^{90} +(-7.78527 + 13.4845i) q^{91} +(-5.85793 + 10.1462i) q^{92} +(-4.14725 - 7.18324i) q^{93} +15.7902 q^{94} +(0.111646 + 0.193377i) q^{95} +(-10.6304 + 18.4124i) q^{96} +7.62532 q^{97} +(-0.194228 + 0.336413i) q^{98} +(4.57105 + 7.91729i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 58q - 6q^{2} + 3q^{3} + 54q^{4} - q^{5} + 12q^{6} + 7q^{7} - 12q^{8} - 22q^{9} + O(q^{10}) \) \( 58q - 6q^{2} + 3q^{3} + 54q^{4} - q^{5} + 12q^{6} + 7q^{7} - 12q^{8} - 22q^{9} + 4q^{10} + 16q^{11} + 12q^{12} + 2q^{13} - 11q^{14} + 7q^{15} + 30q^{16} + 29q^{17} + 8q^{18} + 8q^{19} - 33q^{20} - 26q^{21} - 22q^{22} - 5q^{23} + 12q^{24} - 36q^{25} - 12q^{27} + 15q^{28} + 2q^{29} + 11q^{30} + 3q^{31} - 40q^{32} + 17q^{33} - 3q^{34} + 38q^{35} - 7q^{36} + 2q^{37} + q^{38} - 54q^{39} + 5q^{40} + 14q^{41} - 112q^{42} + 31q^{43} - 24q^{44} - 46q^{45} - 13q^{46} - 28q^{47} - 28q^{49} - 13q^{50} + 6q^{51} + 85q^{52} - 10q^{53} + 34q^{54} + 36q^{55} - 54q^{56} - 23q^{57} + 3q^{58} + 12q^{59} + 2q^{60} - q^{61} - q^{62} - 14q^{63} + 28q^{64} + 80q^{65} - 74q^{66} + 11q^{67} + 27q^{68} - 11q^{69} + 2q^{70} + 16q^{71} + 21q^{72} + 14q^{73} + 21q^{74} - 54q^{75} + 44q^{76} + 25q^{77} + 88q^{78} - 4q^{79} - 112q^{80} + 11q^{81} - 176q^{82} - 3q^{83} + 100q^{84} - 2q^{85} + 44q^{86} + 8q^{87} - 106q^{88} + 82q^{89} + 54q^{90} - 15q^{91} + 42q^{92} + 88q^{94} + 29q^{95} + 20q^{96} + 20q^{97} + 44q^{98} - 54q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.84257 −1.30289 −0.651447 0.758694i \(-0.725838\pi\)
−0.651447 + 0.758694i \(0.725838\pi\)
\(3\) −1.58757 + 2.74976i −0.916587 + 1.58757i −0.112025 + 0.993705i \(0.535734\pi\)
−0.804562 + 0.593869i \(0.797600\pi\)
\(4\) 1.39506 0.697532
\(5\) 0.0845289 0.146408i 0.0378025 0.0654758i −0.846505 0.532381i \(-0.821298\pi\)
0.884308 + 0.466905i \(0.154631\pi\)
\(6\) 2.92522 5.06662i 1.19421 2.06844i
\(7\) 1.30280 + 2.25652i 0.492413 + 0.852884i 0.999962 0.00873861i \(-0.00278162\pi\)
−0.507549 + 0.861623i \(0.669448\pi\)
\(8\) 1.11464 0.394083
\(9\) −3.54079 6.13282i −1.18026 2.04427i
\(10\) −0.155750 + 0.269768i −0.0492526 + 0.0853080i
\(11\) −1.29097 −0.389242 −0.194621 0.980878i \(-0.562348\pi\)
−0.194621 + 0.980878i \(0.562348\pi\)
\(12\) −2.21477 + 3.83609i −0.639349 + 1.10738i
\(13\) 2.98789 + 5.17519i 0.828693 + 1.43534i 0.899064 + 0.437817i \(0.144248\pi\)
−0.0703712 + 0.997521i \(0.522418\pi\)
\(14\) −2.40050 4.15780i −0.641562 1.11122i
\(15\) 0.268392 + 0.464868i 0.0692984 + 0.120028i
\(16\) −4.84392 −1.21098
\(17\) 0.500000 + 0.866025i 0.121268 + 0.210042i
\(18\) 6.52415 + 11.3002i 1.53776 + 2.66347i
\(19\) −0.660405 + 1.14385i −0.151507 + 0.262418i −0.931782 0.363019i \(-0.881746\pi\)
0.780275 + 0.625437i \(0.215079\pi\)
\(20\) 0.117923 0.204249i 0.0263684 0.0456715i
\(21\) −8.27318 −1.80536
\(22\) 2.37870 0.507141
\(23\) −4.19904 + 7.27295i −0.875560 + 1.51651i −0.0193954 + 0.999812i \(0.506174\pi\)
−0.856165 + 0.516703i \(0.827159\pi\)
\(24\) −1.76957 + 3.06498i −0.361212 + 0.625637i
\(25\) 2.48571 + 4.30538i 0.497142 + 0.861075i
\(26\) −5.50540 9.53564i −1.07970 1.87009i
\(27\) 12.9596 2.49408
\(28\) 1.81749 + 3.14799i 0.343474 + 0.594914i
\(29\) −1.16057 2.01016i −0.215512 0.373277i 0.737919 0.674889i \(-0.235809\pi\)
−0.953431 + 0.301612i \(0.902475\pi\)
\(30\) −0.494531 0.856552i −0.0902885 0.156384i
\(31\) −1.30616 + 2.26233i −0.234593 + 0.406327i −0.959154 0.282884i \(-0.908709\pi\)
0.724561 + 0.689210i \(0.242042\pi\)
\(32\) 6.69600 1.18370
\(33\) 2.04951 3.54986i 0.356774 0.617951i
\(34\) −0.921285 1.59571i −0.157999 0.273662i
\(35\) 0.440498 0.0744577
\(36\) −4.93962 8.55568i −0.823271 1.42595i
\(37\) −0.123320 + 0.213596i −0.0202736 + 0.0351150i −0.875984 0.482340i \(-0.839787\pi\)
0.855711 + 0.517455i \(0.173120\pi\)
\(38\) 1.21684 2.10763i 0.197398 0.341903i
\(39\) −18.9740 −3.03827
\(40\) 0.0942189 0.163192i 0.0148973 0.0258029i
\(41\) 12.3177 1.92370 0.961849 0.273581i \(-0.0882081\pi\)
0.961849 + 0.273581i \(0.0882081\pi\)
\(42\) 15.2439 2.35219
\(43\) −6.17403 + 2.20937i −0.941531 + 0.336926i
\(44\) −1.80099 −0.271509
\(45\) −1.19719 −0.178467
\(46\) 7.73702 13.4009i 1.14076 1.97586i
\(47\) −8.56968 −1.25002 −0.625008 0.780618i \(-0.714904\pi\)
−0.625008 + 0.780618i \(0.714904\pi\)
\(48\) 7.69009 13.3196i 1.10997 1.92252i
\(49\) 0.105411 0.182578i 0.0150588 0.0260826i
\(50\) −4.58009 7.93296i −0.647723 1.12189i
\(51\) −3.17515 −0.444610
\(52\) 4.16831 + 7.21972i 0.578040 + 1.00119i
\(53\) 5.09335 8.82193i 0.699625 1.21179i −0.268972 0.963148i \(-0.586684\pi\)
0.968597 0.248638i \(-0.0799829\pi\)
\(54\) −23.8790 −3.24952
\(55\) −0.109124 + 0.189009i −0.0147143 + 0.0254859i
\(56\) 1.45215 + 2.51520i 0.194052 + 0.336108i
\(57\) −2.09688 3.63191i −0.277739 0.481058i
\(58\) 2.13843 + 3.70386i 0.280789 + 0.486341i
\(59\) −5.38809 −0.701469 −0.350735 0.936475i \(-0.614068\pi\)
−0.350735 + 0.936475i \(0.614068\pi\)
\(60\) 0.374424 + 0.648521i 0.0483379 + 0.0837237i
\(61\) −0.0666998 0.115527i −0.00854003 0.0147918i 0.861724 0.507378i \(-0.169385\pi\)
−0.870264 + 0.492586i \(0.836052\pi\)
\(62\) 2.40669 4.16850i 0.305650 0.529401i
\(63\) 9.22589 15.9797i 1.16235 2.01325i
\(64\) −2.65000 −0.331250
\(65\) 1.01025 0.125306
\(66\) −3.77637 + 6.54086i −0.464839 + 0.805125i
\(67\) −2.40271 + 4.16162i −0.293538 + 0.508423i −0.974644 0.223762i \(-0.928166\pi\)
0.681106 + 0.732185i \(0.261499\pi\)
\(68\) 0.697532 + 1.20816i 0.0845882 + 0.146511i
\(69\) −13.3326 23.0927i −1.60505 2.78003i
\(70\) −0.811648 −0.0970105
\(71\) −3.77465 6.53789i −0.447969 0.775905i 0.550285 0.834977i \(-0.314519\pi\)
−0.998254 + 0.0590723i \(0.981186\pi\)
\(72\) −3.94669 6.83586i −0.465122 0.805614i
\(73\) −1.06385 1.84265i −0.124515 0.215665i 0.797029 0.603942i \(-0.206404\pi\)
−0.921543 + 0.388276i \(0.873071\pi\)
\(74\) 0.227225 0.393566i 0.0264144 0.0457511i
\(75\) −15.7850 −1.82269
\(76\) −0.921307 + 1.59575i −0.105681 + 0.183045i
\(77\) −1.68188 2.91310i −0.191668 0.331979i
\(78\) 34.9610 3.95855
\(79\) −3.46807 6.00688i −0.390189 0.675827i 0.602285 0.798281i \(-0.294257\pi\)
−0.992474 + 0.122454i \(0.960924\pi\)
\(80\) −0.409451 + 0.709191i −0.0457781 + 0.0792899i
\(81\) −9.95197 + 17.2373i −1.10577 + 1.91526i
\(82\) −22.6962 −2.50637
\(83\) 6.35856 11.0133i 0.697942 1.20887i −0.271236 0.962513i \(-0.587433\pi\)
0.969179 0.246359i \(-0.0792341\pi\)
\(84\) −11.5416 −1.25929
\(85\) 0.169058 0.0183369
\(86\) 11.3761 4.07092i 1.22672 0.438979i
\(87\) 7.36994 0.790141
\(88\) −1.43896 −0.153394
\(89\) −2.63352 + 4.56139i −0.279152 + 0.483506i −0.971174 0.238370i \(-0.923387\pi\)
0.692022 + 0.721876i \(0.256720\pi\)
\(90\) 2.20591 0.232524
\(91\) −7.78527 + 13.4845i −0.816118 + 1.41356i
\(92\) −5.85793 + 10.1462i −0.610731 + 1.05782i
\(93\) −4.14725 7.18324i −0.430049 0.744867i
\(94\) 15.7902 1.62864
\(95\) 0.111646 + 0.193377i 0.0114547 + 0.0198401i
\(96\) −10.6304 + 18.4124i −1.08496 + 1.87921i
\(97\) 7.62532 0.774234 0.387117 0.922031i \(-0.373471\pi\)
0.387117 + 0.922031i \(0.373471\pi\)
\(98\) −0.194228 + 0.336413i −0.0196200 + 0.0339828i
\(99\) 4.57105 + 7.91729i 0.459408 + 0.795718i
\(100\) 3.46773 + 6.00628i 0.346773 + 0.600628i
\(101\) 1.18758 + 2.05694i 0.118168 + 0.204673i 0.919042 0.394160i \(-0.128964\pi\)
−0.800874 + 0.598833i \(0.795631\pi\)
\(102\) 5.85043 0.579279
\(103\) 5.46966 + 9.47372i 0.538941 + 0.933474i 0.998961 + 0.0455651i \(0.0145088\pi\)
−0.460020 + 0.887908i \(0.652158\pi\)
\(104\) 3.33042 + 5.76845i 0.326574 + 0.565643i
\(105\) −0.699323 + 1.21126i −0.0682469 + 0.118207i
\(106\) −9.38485 + 16.2550i −0.911537 + 1.57883i
\(107\) 12.8064 1.23804 0.619020 0.785375i \(-0.287530\pi\)
0.619020 + 0.785375i \(0.287530\pi\)
\(108\) 18.0795 1.73970
\(109\) −1.58126 + 2.73882i −0.151457 + 0.262331i −0.931763 0.363066i \(-0.881730\pi\)
0.780306 + 0.625398i \(0.215063\pi\)
\(110\) 0.201069 0.348262i 0.0191712 0.0332055i
\(111\) −0.391558 0.678199i −0.0371651 0.0643718i
\(112\) −6.31068 10.9304i −0.596303 1.03283i
\(113\) −17.0805 −1.60680 −0.803400 0.595440i \(-0.796978\pi\)
−0.803400 + 0.595440i \(0.796978\pi\)
\(114\) 3.86365 + 6.69204i 0.361864 + 0.626767i
\(115\) 0.709880 + 1.22955i 0.0661966 + 0.114656i
\(116\) −1.61907 2.80430i −0.150326 0.260373i
\(117\) 21.1590 36.6484i 1.95615 3.38815i
\(118\) 9.92793 0.913940
\(119\) −1.30280 + 2.25652i −0.119428 + 0.206855i
\(120\) 0.299159 + 0.518159i 0.0273094 + 0.0473012i
\(121\) −9.33339 −0.848490
\(122\) 0.122899 + 0.212867i 0.0111268 + 0.0192721i
\(123\) −19.5552 + 33.8707i −1.76324 + 3.05401i
\(124\) −1.82217 + 3.15610i −0.163636 + 0.283426i
\(125\) 1.68575 0.150778
\(126\) −16.9993 + 29.4437i −1.51442 + 2.62306i
\(127\) −4.77736 −0.423922 −0.211961 0.977278i \(-0.567985\pi\)
−0.211961 + 0.977278i \(0.567985\pi\)
\(128\) −8.50919 −0.752113
\(129\) 3.72650 20.4846i 0.328100 1.80357i
\(130\) −1.86146 −0.163261
\(131\) 20.6124 1.80091 0.900456 0.434946i \(-0.143233\pi\)
0.900456 + 0.434946i \(0.143233\pi\)
\(132\) 2.85920 4.95228i 0.248862 0.431041i
\(133\) −3.44151 −0.298417
\(134\) 4.42717 7.66807i 0.382449 0.662421i
\(135\) 1.09546 1.89739i 0.0942822 0.163302i
\(136\) 0.557318 + 0.965303i 0.0477896 + 0.0827741i
\(137\) −18.4927 −1.57994 −0.789968 0.613148i \(-0.789903\pi\)
−0.789968 + 0.613148i \(0.789903\pi\)
\(138\) 24.5662 + 42.5499i 2.09121 + 3.62209i
\(139\) −3.12577 + 5.41399i −0.265124 + 0.459209i −0.967596 0.252503i \(-0.918746\pi\)
0.702472 + 0.711712i \(0.252080\pi\)
\(140\) 0.614523 0.0519366
\(141\) 13.6050 23.5646i 1.14575 1.98449i
\(142\) 6.95506 + 12.0465i 0.583656 + 1.01092i
\(143\) −3.85728 6.68101i −0.322562 0.558694i
\(144\) 17.1513 + 29.7069i 1.42927 + 2.47558i
\(145\) −0.392406 −0.0325875
\(146\) 1.96022 + 3.39521i 0.162229 + 0.280989i
\(147\) 0.334697 + 0.579712i 0.0276053 + 0.0478139i
\(148\) −0.172039 + 0.297980i −0.0141415 + 0.0244938i
\(149\) 10.2795 17.8047i 0.842132 1.45862i −0.0459567 0.998943i \(-0.514634\pi\)
0.888089 0.459672i \(-0.152033\pi\)
\(150\) 29.0850 2.37478
\(151\) 1.60876 0.130919 0.0654595 0.997855i \(-0.479149\pi\)
0.0654595 + 0.997855i \(0.479149\pi\)
\(152\) −0.736111 + 1.27498i −0.0597065 + 0.103415i
\(153\) 3.54079 6.13282i 0.286256 0.495809i
\(154\) 3.09898 + 5.36759i 0.249723 + 0.432533i
\(155\) 0.220816 + 0.382465i 0.0177364 + 0.0307203i
\(156\) −26.4700 −2.11929
\(157\) −5.91054 10.2374i −0.471712 0.817030i 0.527764 0.849391i \(-0.323031\pi\)
−0.999476 + 0.0323614i \(0.989697\pi\)
\(158\) 6.39017 + 11.0681i 0.508375 + 0.880531i
\(159\) 16.1721 + 28.0110i 1.28253 + 2.22141i
\(160\) 0.566005 0.980349i 0.0447466 0.0775034i
\(161\) −21.8821 −1.72455
\(162\) 18.3372 31.7610i 1.44071 2.49538i
\(163\) 1.50683 + 2.60991i 0.118024 + 0.204424i 0.918985 0.394294i \(-0.129011\pi\)
−0.800960 + 0.598717i \(0.795677\pi\)
\(164\) 17.1840 1.34184
\(165\) −0.346486 0.600131i −0.0269739 0.0467201i
\(166\) −11.7161 + 20.2929i −0.909345 + 1.57503i
\(167\) 5.91379 10.2430i 0.457623 0.792626i −0.541212 0.840886i \(-0.682034\pi\)
0.998835 + 0.0482604i \(0.0153677\pi\)
\(168\) −9.22159 −0.711461
\(169\) −11.3550 + 19.6675i −0.873464 + 1.51288i
\(170\) −0.311501 −0.0238910
\(171\) 9.35340 0.715273
\(172\) −8.61317 + 3.08221i −0.656748 + 0.235017i
\(173\) −15.6640 −1.19091 −0.595455 0.803388i \(-0.703028\pi\)
−0.595455 + 0.803388i \(0.703028\pi\)
\(174\) −13.5796 −1.02947
\(175\) −6.47678 + 11.2181i −0.489598 + 0.848009i
\(176\) 6.25336 0.471365
\(177\) 8.55399 14.8159i 0.642957 1.11363i
\(178\) 4.85244 8.40468i 0.363706 0.629957i
\(179\) −8.30678 14.3878i −0.620878 1.07539i −0.989323 0.145743i \(-0.953443\pi\)
0.368444 0.929650i \(-0.379891\pi\)
\(180\) −1.67016 −0.124487
\(181\) 11.9484 + 20.6952i 0.888117 + 1.53826i 0.842099 + 0.539323i \(0.181320\pi\)
0.0460181 + 0.998941i \(0.485347\pi\)
\(182\) 14.3449 24.8461i 1.06332 1.84172i
\(183\) 0.423563 0.0313107
\(184\) −4.68040 + 8.10669i −0.345044 + 0.597633i
\(185\) 0.0208481 + 0.0361101i 0.00153279 + 0.00265486i
\(186\) 7.64159 + 13.2356i 0.560309 + 0.970483i
\(187\) −0.645485 1.11801i −0.0472026 0.0817572i
\(188\) −11.9553 −0.871927
\(189\) 16.8838 + 29.2436i 1.22812 + 2.12716i
\(190\) −0.205716 0.356311i −0.0149242 0.0258495i
\(191\) −5.72397 + 9.91421i −0.414172 + 0.717367i −0.995341 0.0964157i \(-0.969262\pi\)
0.581169 + 0.813783i \(0.302596\pi\)
\(192\) 4.20707 7.28685i 0.303619 0.525883i
\(193\) 16.5668 1.19250 0.596252 0.802797i \(-0.296656\pi\)
0.596252 + 0.802797i \(0.296656\pi\)
\(194\) −14.0502 −1.00874
\(195\) −1.60385 + 2.77795i −0.114854 + 0.198933i
\(196\) 0.147056 0.254708i 0.0105040 0.0181934i
\(197\) 4.49841 + 7.79147i 0.320498 + 0.555119i 0.980591 0.196065i \(-0.0628163\pi\)
−0.660093 + 0.751184i \(0.729483\pi\)
\(198\) −8.42248 14.5882i −0.598560 1.03674i
\(199\) −6.06387 −0.429856 −0.214928 0.976630i \(-0.568952\pi\)
−0.214928 + 0.976630i \(0.568952\pi\)
\(200\) 2.77066 + 4.79893i 0.195915 + 0.339335i
\(201\) −7.62897 13.2138i −0.538106 0.932027i
\(202\) −2.18819 3.79006i −0.153961 0.266667i
\(203\) 3.02398 5.23768i 0.212242 0.367613i
\(204\) −4.42954 −0.310130
\(205\) 1.04120 1.80341i 0.0727205 0.125956i
\(206\) −10.0782 17.4560i −0.702183 1.21622i
\(207\) 59.4716 4.13356
\(208\) −14.4731 25.0682i −1.00353 1.73817i
\(209\) 0.852563 1.47668i 0.0589730 0.102144i
\(210\) 1.28855 2.23184i 0.0889185 0.154011i
\(211\) 8.64630 0.595236 0.297618 0.954685i \(-0.403808\pi\)
0.297618 + 0.954685i \(0.403808\pi\)
\(212\) 7.10555 12.3072i 0.488011 0.845260i
\(213\) 23.9702 1.64241
\(214\) −23.5967 −1.61304
\(215\) −0.198414 + 1.09069i −0.0135317 + 0.0743841i
\(216\) 14.4452 0.982874
\(217\) −6.80666 −0.462066
\(218\) 2.91358 5.04647i 0.197333 0.341790i
\(219\) 6.75578 0.456513
\(220\) −0.152235 + 0.263679i −0.0102637 + 0.0177773i
\(221\) −2.98789 + 5.17519i −0.200988 + 0.348121i
\(222\) 0.721474 + 1.24963i 0.0484222 + 0.0838696i
\(223\) −13.4893 −0.903310 −0.451655 0.892193i \(-0.649166\pi\)
−0.451655 + 0.892193i \(0.649166\pi\)
\(224\) 8.72356 + 15.1097i 0.582867 + 1.00956i
\(225\) 17.6027 30.4888i 1.17352 2.03259i
\(226\) 31.4721 2.09349
\(227\) 11.1836 19.3705i 0.742279 1.28566i −0.209177 0.977878i \(-0.567078\pi\)
0.951455 0.307786i \(-0.0995882\pi\)
\(228\) −2.92529 5.06675i −0.193732 0.335553i
\(229\) −6.23526 10.7998i −0.412037 0.713669i 0.583075 0.812418i \(-0.301849\pi\)
−0.995112 + 0.0987488i \(0.968516\pi\)
\(230\) −1.30800 2.26553i −0.0862472 0.149385i
\(231\) 10.6804 0.702721
\(232\) −1.29361 2.24060i −0.0849296 0.147102i
\(233\) 10.5822 + 18.3289i 0.693263 + 1.20077i 0.970763 + 0.240041i \(0.0771610\pi\)
−0.277499 + 0.960726i \(0.589506\pi\)
\(234\) −38.9869 + 67.5273i −2.54865 + 4.41440i
\(235\) −0.724385 + 1.25467i −0.0472537 + 0.0818458i
\(236\) −7.51673 −0.489297
\(237\) 22.0233 1.43057
\(238\) 2.40050 4.15780i 0.155602 0.269510i
\(239\) −5.57029 + 9.64802i −0.360312 + 0.624079i −0.988012 0.154377i \(-0.950663\pi\)
0.627700 + 0.778455i \(0.283996\pi\)
\(240\) −1.30007 2.25179i −0.0839191 0.145352i
\(241\) −1.07840 1.86784i −0.0694658 0.120318i 0.829200 0.558951i \(-0.188796\pi\)
−0.898666 + 0.438633i \(0.855463\pi\)
\(242\) 17.1974 1.10549
\(243\) −12.1596 21.0610i −0.780038 1.35107i
\(244\) −0.0930505 0.161168i −0.00595695 0.0103177i
\(245\) −0.0178206 0.0308662i −0.00113852 0.00197197i
\(246\) 36.0319 62.4091i 2.29731 3.97906i
\(247\) −7.89288 −0.502212
\(248\) −1.45589 + 2.52168i −0.0924491 + 0.160127i
\(249\) 20.1894 + 34.9690i 1.27945 + 2.21607i
\(250\) −3.10610 −0.196447
\(251\) −8.45058 14.6368i −0.533396 0.923869i −0.999239 0.0390018i \(-0.987582\pi\)
0.465843 0.884867i \(-0.345751\pi\)
\(252\) 12.8707 22.2927i 0.810778 1.40431i
\(253\) 5.42084 9.38916i 0.340805 0.590292i
\(254\) 8.80261 0.552325
\(255\) −0.268392 + 0.464868i −0.0168073 + 0.0291112i
\(256\) 20.9788 1.31117
\(257\) −27.7127 −1.72867 −0.864335 0.502916i \(-0.832260\pi\)
−0.864335 + 0.502916i \(0.832260\pi\)
\(258\) −6.86633 + 37.7444i −0.427479 + 2.34986i
\(259\) −0.642645 −0.0399320
\(260\) 1.40937 0.0874053
\(261\) −8.21864 + 14.2351i −0.508721 + 0.881130i
\(262\) −37.9798 −2.34640
\(263\) −10.5871 + 18.3374i −0.652830 + 1.13073i 0.329603 + 0.944119i \(0.393085\pi\)
−0.982433 + 0.186615i \(0.940248\pi\)
\(264\) 2.28446 3.95680i 0.140599 0.243524i
\(265\) −0.861069 1.49142i −0.0528951 0.0916170i
\(266\) 6.34122 0.388805
\(267\) −8.36181 14.4831i −0.511735 0.886351i
\(268\) −3.35194 + 5.80573i −0.204752 + 0.354641i
\(269\) 2.06434 0.125865 0.0629326 0.998018i \(-0.479955\pi\)
0.0629326 + 0.998018i \(0.479955\pi\)
\(270\) −2.01846 + 3.49608i −0.122840 + 0.212765i
\(271\) 4.94978 + 8.57326i 0.300677 + 0.520789i 0.976290 0.216469i \(-0.0694539\pi\)
−0.675612 + 0.737257i \(0.736121\pi\)
\(272\) −2.42196 4.19496i −0.146853 0.254357i
\(273\) −24.7194 42.8153i −1.49609 2.59130i
\(274\) 34.0740 2.05849
\(275\) −3.20898 5.55811i −0.193509 0.335167i
\(276\) −18.5998 32.2158i −1.11958 1.93916i
\(277\) 7.82260 13.5491i 0.470015 0.814089i −0.529398 0.848374i \(-0.677582\pi\)
0.999412 + 0.0342848i \(0.0109153\pi\)
\(278\) 5.75945 9.97566i 0.345429 0.598300i
\(279\) 18.4993 1.10752
\(280\) 0.490995 0.0293425
\(281\) −5.71133 + 9.89232i −0.340710 + 0.590126i −0.984565 0.175021i \(-0.944001\pi\)
0.643855 + 0.765147i \(0.277334\pi\)
\(282\) −25.0682 + 43.4194i −1.49279 + 2.58558i
\(283\) −8.05952 13.9595i −0.479089 0.829806i 0.520624 0.853786i \(-0.325699\pi\)
−0.999712 + 0.0239803i \(0.992366\pi\)
\(284\) −5.26588 9.12078i −0.312473 0.541219i
\(285\) −0.708988 −0.0419969
\(286\) 7.10732 + 12.3102i 0.420264 + 0.727919i
\(287\) 16.0475 + 27.7951i 0.947254 + 1.64069i
\(288\) −23.7091 41.0654i −1.39707 2.41980i
\(289\) −0.500000 + 0.866025i −0.0294118 + 0.0509427i
\(290\) 0.723035 0.0424581
\(291\) −12.1058 + 20.9678i −0.709653 + 1.22915i
\(292\) −1.48414 2.57061i −0.0868529 0.150434i
\(293\) −0.954637 −0.0557705 −0.0278852 0.999611i \(-0.508877\pi\)
−0.0278852 + 0.999611i \(0.508877\pi\)
\(294\) −0.616703 1.06816i −0.0359668 0.0622964i
\(295\) −0.455449 + 0.788860i −0.0265173 + 0.0459292i
\(296\) −0.137457 + 0.238082i −0.00798950 + 0.0138382i
\(297\) −16.7305 −0.970800
\(298\) −18.9408 + 32.8064i −1.09721 + 1.90042i
\(299\) −50.1851 −2.90228
\(300\) −22.0211 −1.27139
\(301\) −13.0290 11.0535i −0.750981 0.637111i
\(302\) −2.96425 −0.170573
\(303\) −7.54146 −0.433245
\(304\) 3.19895 5.54074i 0.183472 0.317783i
\(305\) −0.0225522 −0.00129134
\(306\) −6.52415 + 11.3002i −0.372961 + 0.645987i
\(307\) −13.6300 + 23.6079i −0.777907 + 1.34737i 0.155239 + 0.987877i \(0.450385\pi\)
−0.933146 + 0.359497i \(0.882948\pi\)
\(308\) −2.34633 4.06396i −0.133695 0.231566i
\(309\) −34.7339 −1.97594
\(310\) −0.406869 0.704718i −0.0231086 0.0400253i
\(311\) −10.1352 + 17.5546i −0.574713 + 0.995433i 0.421359 + 0.906894i \(0.361553\pi\)
−0.996073 + 0.0885389i \(0.971780\pi\)
\(312\) −21.1491 −1.19733
\(313\) −6.20912 + 10.7545i −0.350960 + 0.607881i −0.986418 0.164255i \(-0.947478\pi\)
0.635458 + 0.772136i \(0.280811\pi\)
\(314\) 10.8906 + 18.8630i 0.614591 + 1.06450i
\(315\) −1.55971 2.70149i −0.0878796 0.152212i
\(316\) −4.83819 8.37999i −0.272169 0.471411i
\(317\) −11.5274 −0.647441 −0.323721 0.946153i \(-0.604934\pi\)
−0.323721 + 0.946153i \(0.604934\pi\)
\(318\) −29.7983 51.6122i −1.67101 2.89427i
\(319\) 1.49826 + 2.59506i 0.0838863 + 0.145295i
\(320\) −0.224001 + 0.387981i −0.0125220 + 0.0216888i
\(321\) −20.3311 + 35.2145i −1.13477 + 1.96548i
\(322\) 40.3193 2.24690
\(323\) −1.32081 −0.0734918
\(324\) −13.8836 + 24.0472i −0.771313 + 1.33595i
\(325\) −14.8541 + 25.7280i −0.823956 + 1.42713i
\(326\) −2.77644 4.80894i −0.153773 0.266342i
\(327\) −5.02073 8.69616i −0.277647 0.480899i
\(328\) 13.7297 0.758097
\(329\) −11.1646 19.3377i −0.615524 1.06612i
\(330\) 0.638424 + 1.10578i 0.0351441 + 0.0608714i
\(331\) −15.8261 27.4116i −0.869881 1.50668i −0.862118 0.506708i \(-0.830862\pi\)
−0.00776277 0.999970i \(-0.502471\pi\)
\(332\) 8.87060 15.3643i 0.486837 0.843227i
\(333\) 1.74659 0.0957128
\(334\) −10.8966 + 18.8734i −0.596234 + 1.03271i
\(335\) 0.406197 + 0.703554i 0.0221929 + 0.0384393i
\(336\) 40.0747 2.18625
\(337\) 11.8817 + 20.5797i 0.647237 + 1.12105i 0.983780 + 0.179379i \(0.0574087\pi\)
−0.336544 + 0.941668i \(0.609258\pi\)
\(338\) 20.9224 36.2387i 1.13803 1.97113i
\(339\) 27.1166 46.9673i 1.47277 2.55091i
\(340\) 0.235846 0.0127906
\(341\) 1.68621 2.92060i 0.0913135 0.158160i
\(342\) −17.2343 −0.931924
\(343\) 18.7886 1.01449
\(344\) −6.88180 + 2.46264i −0.371042 + 0.132777i
\(345\) −4.50795 −0.242700
\(346\) 28.8620 1.55163
\(347\) −11.3188 + 19.6048i −0.607626 + 1.05244i 0.384005 + 0.923331i \(0.374545\pi\)
−0.991631 + 0.129108i \(0.958789\pi\)
\(348\) 10.2815 0.551149
\(349\) 1.59888 2.76935i 0.0855862 0.148240i −0.820055 0.572285i \(-0.806057\pi\)
0.905641 + 0.424046i \(0.139390\pi\)
\(350\) 11.9339 20.6701i 0.637895 1.10487i
\(351\) 38.7219 + 67.0683i 2.06682 + 3.57984i
\(352\) −8.64434 −0.460745
\(353\) 5.98307 + 10.3630i 0.318447 + 0.551566i 0.980164 0.198187i \(-0.0635055\pi\)
−0.661717 + 0.749753i \(0.730172\pi\)
\(354\) −15.7613 + 27.2994i −0.837705 + 1.45095i
\(355\) −1.27627 −0.0677373
\(356\) −3.67393 + 6.36343i −0.194718 + 0.337261i
\(357\) −4.13659 7.16479i −0.218932 0.379201i
\(358\) 15.3058 + 26.5105i 0.808938 + 1.40112i
\(359\) 0.714200 + 1.23703i 0.0376940 + 0.0652880i 0.884257 0.467001i \(-0.154665\pi\)
−0.846563 + 0.532289i \(0.821332\pi\)
\(360\) −1.33444 −0.0703309
\(361\) 8.62773 + 14.9437i 0.454091 + 0.786509i
\(362\) −22.0157 38.1324i −1.15712 2.00419i
\(363\) 14.8175 25.6646i 0.777715 1.34704i
\(364\) −10.8610 + 18.8117i −0.569269 + 0.986003i
\(365\) −0.359705 −0.0188278
\(366\) −0.780445 −0.0407945
\(367\) 16.4092 28.4215i 0.856553 1.48359i −0.0186446 0.999826i \(-0.505935\pi\)
0.875197 0.483766i \(-0.160732\pi\)
\(368\) 20.3398 35.2296i 1.06029 1.83647i
\(369\) −43.6143 75.5421i −2.27047 3.93256i
\(370\) −0.0384142 0.0665353i −0.00199706 0.00345901i
\(371\) 26.5425 1.37802
\(372\) −5.78567 10.0211i −0.299973 0.519569i
\(373\) −5.16070 8.93860i −0.267211 0.462823i 0.700929 0.713231i \(-0.252769\pi\)
−0.968141 + 0.250407i \(0.919435\pi\)
\(374\) 1.18935 + 2.06002i 0.0614999 + 0.106521i
\(375\) −2.67625 + 4.63539i −0.138201 + 0.239371i
\(376\) −9.55207 −0.492611
\(377\) 6.93530 12.0123i 0.357186 0.618665i
\(378\) −31.1096 53.8834i −1.60010 2.77146i
\(379\) 13.2402 0.680106 0.340053 0.940406i \(-0.389555\pi\)
0.340053 + 0.940406i \(0.389555\pi\)
\(380\) 0.155754 + 0.269774i 0.00799001 + 0.0138391i
\(381\) 7.58441 13.1366i 0.388561 0.673007i
\(382\) 10.5468 18.2676i 0.539622 0.934653i
\(383\) 4.89283 0.250012 0.125006 0.992156i \(-0.460105\pi\)
0.125006 + 0.992156i \(0.460105\pi\)
\(384\) 13.5090 23.3982i 0.689377 1.19404i
\(385\) −0.568669 −0.0289821
\(386\) −30.5255 −1.55371
\(387\) 35.4106 + 30.0413i 1.80002 + 1.52709i
\(388\) 10.6378 0.540053
\(389\) −8.14275 −0.412854 −0.206427 0.978462i \(-0.566184\pi\)
−0.206427 + 0.978462i \(0.566184\pi\)
\(390\) 2.95521 5.11857i 0.149643 0.259189i
\(391\) −8.39808 −0.424709
\(392\) 0.117495 0.203508i 0.00593441 0.0102787i
\(393\) −32.7237 + 56.6791i −1.65069 + 2.85908i
\(394\) −8.28863 14.3563i −0.417575 0.723262i
\(395\) −1.17261 −0.0590004
\(396\) 6.37691 + 11.0451i 0.320452 + 0.555039i
\(397\) 1.68760 2.92301i 0.0846983 0.146702i −0.820564 0.571554i \(-0.806341\pi\)
0.905263 + 0.424852i \(0.139674\pi\)
\(398\) 11.1731 0.560057
\(399\) 5.46365 9.46332i 0.273525 0.473758i
\(400\) −12.0406 20.8549i −0.602029 1.04275i
\(401\) −1.23792 2.14414i −0.0618188 0.107073i 0.833460 0.552580i \(-0.186357\pi\)
−0.895278 + 0.445507i \(0.853023\pi\)
\(402\) 14.0569 + 24.3473i 0.701095 + 1.21433i
\(403\) −15.6106 −0.777622
\(404\) 1.65674 + 2.86956i 0.0824261 + 0.142766i
\(405\) 1.68246 + 2.91410i 0.0836020 + 0.144803i
\(406\) −5.57189 + 9.65080i −0.276528 + 0.478961i
\(407\) 0.159202 0.275746i 0.00789136 0.0136682i
\(408\) −3.53914 −0.175213
\(409\) 10.2657 0.507604 0.253802 0.967256i \(-0.418319\pi\)
0.253802 + 0.967256i \(0.418319\pi\)
\(410\) −1.91848 + 3.32291i −0.0947471 + 0.164107i
\(411\) 29.3585 50.8504i 1.44815 2.50827i
\(412\) 7.63052 + 13.2165i 0.375929 + 0.651128i
\(413\) −7.01961 12.1583i −0.345413 0.598272i
\(414\) −109.581 −5.38559
\(415\) −1.07496 1.86189i −0.0527679 0.0913966i
\(416\) 20.0069 + 34.6530i 0.980921 + 1.69900i
\(417\) −9.92479 17.1902i −0.486019 0.841809i
\(418\) −1.57091 + 2.72089i −0.0768356 + 0.133083i
\(419\) 12.2686 0.599362 0.299681 0.954039i \(-0.403120\pi\)
0.299681 + 0.954039i \(0.403120\pi\)
\(420\) −0.975600 + 1.68979i −0.0476044 + 0.0824533i
\(421\) 8.64961 + 14.9816i 0.421556 + 0.730157i 0.996092 0.0883225i \(-0.0281506\pi\)
−0.574536 + 0.818480i \(0.694817\pi\)
\(422\) −15.9314 −0.775529
\(423\) 30.3434 + 52.5563i 1.47535 + 2.55538i
\(424\) 5.67723 9.83325i 0.275711 0.477545i
\(425\) −2.48571 + 4.30538i −0.120575 + 0.208841i
\(426\) −44.1667 −2.13988
\(427\) 0.173793 0.301019i 0.00841044 0.0145673i
\(428\) 17.8657 0.863573
\(429\) 24.4949 1.18263
\(430\) 0.365591 2.00966i 0.0176304 0.0969146i
\(431\) 20.7068 0.997413 0.498707 0.866771i \(-0.333809\pi\)
0.498707 + 0.866771i \(0.333809\pi\)
\(432\) −62.7753 −3.02028
\(433\) −8.18133 + 14.1705i −0.393169 + 0.680990i −0.992866 0.119238i \(-0.961955\pi\)
0.599696 + 0.800228i \(0.295288\pi\)
\(434\) 12.5418 0.602023
\(435\) 0.622973 1.07902i 0.0298693 0.0517351i
\(436\) −2.20596 + 3.82083i −0.105646 + 0.182985i
\(437\) −5.54613 9.60618i −0.265307 0.459526i
\(438\) −12.4480 −0.594788
\(439\) 3.21108 + 5.56176i 0.153257 + 0.265448i 0.932423 0.361369i \(-0.117691\pi\)
−0.779166 + 0.626817i \(0.784357\pi\)
\(440\) −0.121634 + 0.210676i −0.00579867 + 0.0100436i
\(441\) −1.49296 −0.0710932
\(442\) 5.50540 9.53564i 0.261865 0.453564i
\(443\) 16.9692 + 29.3915i 0.806230 + 1.39643i 0.915458 + 0.402414i \(0.131829\pi\)
−0.109228 + 0.994017i \(0.534838\pi\)
\(444\) −0.546249 0.946132i −0.0259238 0.0449014i
\(445\) 0.445217 + 0.771138i 0.0211053 + 0.0365554i
\(446\) 24.8550 1.17692
\(447\) 32.6390 + 56.5325i 1.54377 + 2.67389i
\(448\) −3.45242 5.97977i −0.163112 0.282518i
\(449\) 3.67421 6.36392i 0.173397 0.300332i −0.766209 0.642592i \(-0.777859\pi\)
0.939605 + 0.342260i \(0.111192\pi\)
\(450\) −32.4343 + 56.1778i −1.52897 + 2.64825i
\(451\) −15.9018 −0.748785
\(452\) −23.8284 −1.12079
\(453\) −2.55402 + 4.42370i −0.119999 + 0.207844i
\(454\) −20.6065 + 35.6915i −0.967110 + 1.67508i
\(455\) 1.31616 + 2.27966i 0.0617026 + 0.106872i
\(456\) −2.33726 4.04826i −0.109452 0.189577i
\(457\) 27.3478 1.27927 0.639637 0.768677i \(-0.279084\pi\)
0.639637 + 0.768677i \(0.279084\pi\)
\(458\) 11.4889 + 19.8993i 0.536841 + 0.929836i
\(459\) 6.47980 + 11.2233i 0.302451 + 0.523861i
\(460\) 0.990328 + 1.71530i 0.0461743 + 0.0799762i
\(461\) 10.5258 18.2313i 0.490238 0.849116i −0.509699 0.860353i \(-0.670243\pi\)
0.999937 + 0.0112362i \(0.00357666\pi\)
\(462\) −19.6795 −0.915571
\(463\) 8.55984 14.8261i 0.397809 0.689026i −0.595646 0.803247i \(-0.703104\pi\)
0.993455 + 0.114221i \(0.0364372\pi\)
\(464\) 5.62170 + 9.73706i 0.260981 + 0.452032i
\(465\) −1.40225 −0.0650277
\(466\) −19.4985 33.7723i −0.903248 1.56447i
\(467\) 12.3060 21.3147i 0.569455 0.986325i −0.427165 0.904174i \(-0.640488\pi\)
0.996620 0.0821514i \(-0.0261791\pi\)
\(468\) 29.5182 51.1269i 1.36448 2.36334i
\(469\) −12.5210 −0.578168
\(470\) 1.33473 2.31182i 0.0615665 0.106636i
\(471\) 37.5337 1.72946
\(472\) −6.00575 −0.276437
\(473\) 7.97050 2.85223i 0.366484 0.131146i
\(474\) −40.5795 −1.86388
\(475\) −6.56630 −0.301282
\(476\) −1.81749 + 3.14799i −0.0833047 + 0.144288i
\(477\) −72.1378 −3.30296
\(478\) 10.2636 17.7772i 0.469448 0.813108i
\(479\) −2.30356 + 3.98988i −0.105252 + 0.182302i −0.913841 0.406072i \(-0.866898\pi\)
0.808589 + 0.588374i \(0.200232\pi\)
\(480\) 1.79715 + 3.11276i 0.0820283 + 0.142077i
\(481\) −1.47387 −0.0672025
\(482\) 1.98703 + 3.44163i 0.0905066 + 0.156762i
\(483\) 34.7394 60.1704i 1.58070 2.73785i
\(484\) −13.0207 −0.591849
\(485\) 0.644560 1.11641i 0.0292680 0.0506936i
\(486\) 22.4049 + 38.8064i 1.01631 + 1.76029i
\(487\) 9.88822 + 17.1269i 0.448078 + 0.776094i 0.998261 0.0589502i \(-0.0187753\pi\)
−0.550183 + 0.835044i \(0.685442\pi\)
\(488\) −0.0743460 0.128771i −0.00336548 0.00582919i
\(489\) −9.56882 −0.432717
\(490\) 0.0328357 + 0.0568732i 0.00148337 + 0.00256927i
\(491\) 8.37248 + 14.5016i 0.377845 + 0.654446i 0.990748 0.135711i \(-0.0433320\pi\)
−0.612904 + 0.790158i \(0.709999\pi\)
\(492\) −27.2808 + 47.2517i −1.22991 + 2.13027i
\(493\) 1.16057 2.01016i 0.0522693 0.0905331i
\(494\) 14.5432 0.654329
\(495\) 1.54554 0.0694670
\(496\) 6.32693 10.9586i 0.284087 0.492054i
\(497\) 9.83525 17.0352i 0.441171 0.764131i
\(498\) −37.2003 64.4328i −1.66699 2.88730i
\(499\) 9.75829 + 16.9019i 0.436841 + 0.756631i 0.997444 0.0714539i \(-0.0227639\pi\)
−0.560603 + 0.828085i \(0.689431\pi\)
\(500\) 2.35172 0.105172
\(501\) 18.7772 + 32.5230i 0.838902 + 1.45302i
\(502\) 15.5708 + 26.9694i 0.694959 + 1.20370i
\(503\) 12.7878 + 22.1491i 0.570179 + 0.987579i 0.996547 + 0.0830293i \(0.0264595\pi\)
−0.426368 + 0.904550i \(0.640207\pi\)
\(504\) 10.2835 17.8116i 0.458064 0.793390i
\(505\) 0.401537 0.0178682
\(506\) −9.98827 + 17.3002i −0.444033 + 0.769087i
\(507\) −36.0539 62.4472i −1.60121 2.77338i
\(508\) −6.66472 −0.295699
\(509\) 11.4901 + 19.9014i 0.509289 + 0.882114i 0.999942 + 0.0107594i \(0.00342489\pi\)
−0.490653 + 0.871355i \(0.663242\pi\)
\(510\) 0.494531 0.856552i 0.0218982 0.0379288i
\(511\) 2.77198 4.80121i 0.122625 0.212393i
\(512\) −21.6365 −0.956206
\(513\) −8.55858 + 14.8239i −0.377870 + 0.654491i
\(514\) 51.0626 2.25227
\(515\) 1.84937 0.0814932
\(516\) 5.19871 28.5774i 0.228860 1.25805i
\(517\) 11.0632 0.486559
\(518\) 1.18412 0.0520272
\(519\) 24.8677 43.0722i 1.09157 1.89066i
\(520\) 1.12606 0.0493812
\(521\) −8.51203 + 14.7433i −0.372919 + 0.645915i −0.990013 0.140975i \(-0.954976\pi\)
0.617094 + 0.786889i \(0.288310\pi\)
\(522\) 15.1434 26.2292i 0.662809 1.14802i
\(523\) 5.69706 + 9.86760i 0.249115 + 0.431480i 0.963281 0.268497i \(-0.0865270\pi\)
−0.714166 + 0.699977i \(0.753194\pi\)
\(524\) 28.7556 1.25619
\(525\) −20.5647 35.6192i −0.897519 1.55455i
\(526\) 19.5075 33.7880i 0.850568 1.47323i
\(527\) −2.61232 −0.113794
\(528\) −9.92768 + 17.1952i −0.432047 + 0.748327i
\(529\) −23.7639 41.1602i −1.03321 1.78957i
\(530\) 1.58658 + 2.74804i 0.0689167 + 0.119367i
\(531\) 19.0781 + 33.0442i 0.827917 + 1.43399i
\(532\) −4.80112 −0.208155
\(533\) 36.8039 + 63.7463i 1.59415 + 2.76116i
\(534\) 15.4072 + 26.6861i 0.666736 + 1.15482i
\(535\) 1.08251 1.87496i 0.0468010 0.0810617i
\(536\) −2.67815 + 4.63869i −0.115678 + 0.200361i
\(537\) 52.7506 2.27635
\(538\) −3.80370 −0.163989
\(539\) −0.136083 + 0.235703i −0.00586151 + 0.0101524i
\(540\) 1.52824 2.64698i 0.0657649 0.113908i
\(541\) −9.61605 16.6555i −0.413426 0.716075i 0.581836 0.813306i \(-0.302335\pi\)
−0.995262 + 0.0972312i \(0.969001\pi\)
\(542\) −9.12031 15.7968i −0.391751 0.678532i
\(543\) −75.8758 −3.25614
\(544\) 3.34800 + 5.79890i 0.143544 + 0.248626i
\(545\) 0.267324 + 0.463019i 0.0114509 + 0.0198335i
\(546\) 45.5472 + 78.8901i 1.94924 + 3.37619i
\(547\) −2.52324 + 4.37038i −0.107886 + 0.186864i −0.914914 0.403650i \(-0.867741\pi\)
0.807028 + 0.590514i \(0.201075\pi\)
\(548\) −25.7985 −1.10206
\(549\) −0.472339 + 0.818115i −0.0201589 + 0.0349163i
\(550\) 5.91277 + 10.2412i 0.252121 + 0.436687i
\(551\) 3.06577 0.130606
\(552\) −14.8610 25.7400i −0.632525 1.09557i
\(553\) 9.03643 15.6516i 0.384268 0.665572i
\(554\) −14.4137 + 24.9652i −0.612379 + 1.06067i
\(555\) −0.132392 −0.00561973
\(556\) −4.36065 + 7.55287i −0.184933 + 0.320313i
\(557\) 25.0233 1.06027 0.530136 0.847913i \(-0.322141\pi\)
0.530136 + 0.847913i \(0.322141\pi\)
\(558\) −34.0863 −1.44299
\(559\) −29.8813 25.3504i −1.26384 1.07221i
\(560\) −2.13374 −0.0901668
\(561\) 4.09902 0.173061
\(562\) 10.5235 18.2273i 0.443908 0.768872i
\(563\) −21.9528 −0.925202 −0.462601 0.886567i \(-0.653084\pi\)
−0.462601 + 0.886567i \(0.653084\pi\)
\(564\) 18.9799 32.8741i 0.799196 1.38425i
\(565\) −1.44380 + 2.50073i −0.0607410 + 0.105206i
\(566\) 14.8502 + 25.7213i 0.624202 + 1.08115i
\(567\) −51.8618 −2.17799
\(568\) −4.20736 7.28737i −0.176537 0.305771i
\(569\) 7.37989 12.7824i 0.309381 0.535864i −0.668846 0.743401i \(-0.733211\pi\)
0.978227 + 0.207537i \(0.0665448\pi\)
\(570\) 1.30636 0.0547174
\(571\) 14.6625 25.3961i 0.613605 1.06279i −0.377023 0.926204i \(-0.623052\pi\)
0.990628 0.136591i \(-0.0436146\pi\)
\(572\) −5.38116 9.32044i −0.224998 0.389707i
\(573\) −18.1745 31.4791i −0.759249 1.31506i
\(574\) −29.5686 51.2144i −1.23417 2.13765i
\(575\) −41.7504 −1.74111
\(576\) 9.38307 + 16.2520i 0.390961 + 0.677165i
\(577\) 9.07586 + 15.7198i 0.377833 + 0.654426i 0.990747 0.135724i \(-0.0433360\pi\)
−0.612914 + 0.790150i \(0.710003\pi\)
\(578\) 0.921285 1.59571i 0.0383204 0.0663729i
\(579\) −26.3010 + 45.5547i −1.09303 + 1.89319i
\(580\) −0.547431 −0.0227308
\(581\) 33.1358 1.37470
\(582\) 22.3057 38.6347i 0.924602 1.60146i
\(583\) −6.57536 + 11.3889i −0.272324 + 0.471678i
\(584\) −1.18581 2.05388i −0.0490691 0.0849902i
\(585\) −3.57709 6.19570i −0.147894 0.256161i
\(586\) 1.75898 0.0726630
\(587\) 9.20200 + 15.9383i 0.379807 + 0.657845i 0.991034 0.133610i \(-0.0426571\pi\)
−0.611227 + 0.791455i \(0.709324\pi\)
\(588\) 0.466924 + 0.808736i 0.0192556 + 0.0333517i
\(589\) −1.72519 2.98811i −0.0710850 0.123123i
\(590\) 0.839196 1.45353i 0.0345492 0.0598409i
\(591\) −28.5662 −1.17506
\(592\) 0.597351 1.03464i 0.0245510 0.0425236i
\(593\) 0.972136 + 1.68379i 0.0399208 + 0.0691449i 0.885295 0.465029i \(-0.153956\pi\)
−0.845375 + 0.534174i \(0.820623\pi\)
\(594\) 30.8270 1.26485
\(595\) 0.220249 + 0.381482i 0.00902932 + 0.0156392i
\(596\) 14.3406 24.8387i 0.587414 1.01743i
\(597\) 9.62685 16.6742i 0.394001 0.682429i
\(598\) 92.4696 3.78137
\(599\) −6.23717 + 10.8031i −0.254844 + 0.441403i −0.964853 0.262790i \(-0.915357\pi\)
0.710009 + 0.704192i \(0.248691\pi\)
\(600\) −17.5945 −0.718294
\(601\) −30.6751 −1.25127 −0.625633 0.780118i \(-0.715159\pi\)
−0.625633 + 0.780118i \(0.715159\pi\)
\(602\) 24.0069 + 20.3668i 0.978449 + 0.830087i
\(603\) 34.0300 1.38581
\(604\) 2.24432 0.0913202
\(605\) −0.788941 + 1.36649i −0.0320750 + 0.0555556i
\(606\) 13.8957 0.564473
\(607\) 21.7470 37.6669i 0.882683 1.52885i 0.0343375 0.999410i \(-0.489068\pi\)
0.848346 0.529442i \(-0.177599\pi\)
\(608\) −4.42207 + 7.65925i −0.179339 + 0.310623i
\(609\) 9.60158 + 16.6304i 0.389076 + 0.673899i
\(610\) 0.0415540 0.00168247
\(611\) −25.6053 44.3497i −1.03588 1.79420i
\(612\) 4.93962 8.55568i 0.199672 0.345843i
\(613\) 20.8024 0.840202 0.420101 0.907477i \(-0.361995\pi\)
0.420101 + 0.907477i \(0.361995\pi\)
\(614\) 25.1143 43.4992i 1.01353 1.75549i
\(615\) 3.30596 + 5.72610i 0.133309 + 0.230898i
\(616\) −1.87468 3.24705i −0.0755332 0.130827i
\(617\) 10.6757 + 18.4908i 0.429787 + 0.744413i 0.996854 0.0792587i \(-0.0252553\pi\)
−0.567067 + 0.823672i \(0.691922\pi\)
\(618\) 63.9997 2.57445
\(619\) 3.73490 + 6.46904i 0.150118 + 0.260013i 0.931271 0.364328i \(-0.118701\pi\)
−0.781152 + 0.624340i \(0.785368\pi\)
\(620\) 0.308053 + 0.533563i 0.0123717 + 0.0214284i
\(621\) −54.4179 + 94.2545i −2.18371 + 3.78230i
\(622\) 18.6748 32.3457i 0.748790 1.29694i
\(623\) −13.7238 −0.549833
\(624\) 91.9087 3.67929
\(625\) −12.2861 + 21.2801i −0.491442 + 0.851203i
\(626\) 11.4407 19.8159i 0.457264 0.792004i
\(627\) 2.70701 + 4.68869i 0.108108 + 0.187248i
\(628\) −8.24558 14.2818i −0.329035 0.569905i
\(629\) −0.246639 −0.00983416
\(630\) 2.87387 + 4.97769i 0.114498 + 0.198316i
\(631\) −9.05914 15.6909i −0.360639 0.624645i 0.627427 0.778675i \(-0.284108\pi\)
−0.988066 + 0.154030i \(0.950775\pi\)
\(632\) −3.86564 6.69549i −0.153767 0.266332i
\(633\) −13.7266 + 23.7752i −0.545585 + 0.944981i
\(634\) 21.2400 0.843547
\(635\) −0.403824 + 0.699444i −0.0160253 + 0.0277566i
\(636\) 22.5612 + 39.0771i 0.894609 + 1.54951i
\(637\) 1.25983 0.0499164
\(638\) −2.76064 4.78158i −0.109295 0.189304i
\(639\) −26.7305 + 46.2985i −1.05744 + 1.83154i
\(640\) −0.719272 + 1.24582i −0.0284317 + 0.0492452i
\(641\) −3.08737 −0.121944 −0.0609719 0.998139i \(-0.519420\pi\)
−0.0609719 + 0.998139i \(0.519420\pi\)
\(642\) 37.4615 64.8852i 1.47849 2.56081i
\(643\) 49.5797 1.95523 0.977616 0.210397i \(-0.0674757\pi\)
0.977616 + 0.210397i \(0.0674757\pi\)
\(644\) −30.5269 −1.20293
\(645\) −2.68413 2.27713i −0.105687 0.0896621i
\(646\) 2.43368 0.0957520
\(647\) −1.74201 −0.0684854 −0.0342427 0.999414i \(-0.510902\pi\)
−0.0342427 + 0.999414i \(0.510902\pi\)
\(648\) −11.0928 + 19.2133i −0.435767 + 0.754771i
\(649\) 6.95586 0.273041
\(650\) 27.3697 47.4057i 1.07353 1.85940i
\(651\) 10.8061 18.7167i 0.423524 0.733565i
\(652\) 2.10213 + 3.64099i 0.0823256 + 0.142592i
\(653\) 17.6030 0.688859 0.344430 0.938812i \(-0.388072\pi\)
0.344430 + 0.938812i \(0.388072\pi\)
\(654\) 9.25105 + 16.0233i 0.361745 + 0.626560i
\(655\) 1.74234 3.01782i 0.0680789 0.117916i
\(656\) −59.6659 −2.32956
\(657\) −7.53375 + 13.0488i −0.293919 + 0.509083i
\(658\) 20.5716 + 35.6310i 0.801963 + 1.38904i
\(659\) 13.6609 + 23.6614i 0.532154 + 0.921718i 0.999295 + 0.0375350i \(0.0119506\pi\)
−0.467141 + 0.884183i \(0.654716\pi\)
\(660\) −0.483370 0.837222i −0.0188152 0.0325888i
\(661\) −18.5851 −0.722878 −0.361439 0.932396i \(-0.617714\pi\)
−0.361439 + 0.932396i \(0.617714\pi\)
\(662\) 29.1607 + 50.5078i 1.13336 + 1.96304i
\(663\) −9.48701 16.4320i −0.368445 0.638165i
\(664\) 7.08748 12.2759i 0.275047 0.476396i
\(665\) −0.290907 + 0.503865i −0.0112809 + 0.0195391i
\(666\) −3.21822 −0.124704
\(667\) 19.4931 0.754774
\(668\) 8.25012 14.2896i 0.319207 0.552882i
\(669\) 21.4153 37.0923i 0.827961 1.43407i
\(670\) −0.748446 1.29635i −0.0289150 0.0500823i
\(671\) 0.0861074 + 0.149142i 0.00332414 + 0.00575758i
\(672\) −55.3972 −2.13699
\(673\) 21.7802 + 37.7245i 0.839566 + 1.45417i 0.890258 + 0.455457i \(0.150524\pi\)
−0.0506921 + 0.998714i \(0.516143\pi\)
\(674\) −21.8928 37.9195i −0.843280 1.46060i
\(675\) 32.2138 + 55.7959i 1.23991 + 2.14759i
\(676\) −15.8410 + 27.4374i −0.609269 + 1.05528i
\(677\) −28.0140 −1.07667 −0.538333 0.842732i \(-0.680946\pi\)
−0.538333 + 0.842732i \(0.680946\pi\)
\(678\) −49.9642 + 86.5406i −1.91886 + 3.32357i
\(679\) 9.93429 + 17.2067i 0.381243 + 0.660332i
\(680\) 0.188438 0.00722626
\(681\) 35.5095 + 61.5042i 1.36073 + 2.35685i
\(682\) −3.10696 + 5.38142i −0.118972 + 0.206065i
\(683\) −19.0915 + 33.0675i −0.730518 + 1.26529i 0.226145 + 0.974094i \(0.427388\pi\)
−0.956662 + 0.291200i \(0.905945\pi\)
\(684\) 13.0486 0.498926
\(685\) −1.56316 + 2.70748i −0.0597254 + 0.103448i
\(686\) −34.6192 −1.32177
\(687\) 39.5957 1.51067
\(688\) 29.9065 10.7020i 1.14018 0.408011i
\(689\) 60.8735 2.31910
\(690\) 8.30621 0.316212
\(691\) −1.44334 + 2.49994i −0.0549073 + 0.0951023i −0.892173 0.451695i \(-0.850820\pi\)
0.837265 + 0.546797i \(0.184153\pi\)
\(692\) −21.8523 −0.830699
\(693\) −11.9104 + 20.6293i −0.452437 + 0.783644i
\(694\) 20.8557 36.1231i 0.791672 1.37122i
\(695\) 0.528436 + 0.915277i 0.0200447 + 0.0347184i
\(696\) 8.21481 0.311381
\(697\) 6.15884 + 10.6674i 0.233283 + 0.404057i
\(698\) −2.94605 + 5.10272i −0.111510 + 0.193141i
\(699\) −67.2002 −2.54174
\(700\) −9.03552 + 15.6500i −0.341511 + 0.591514i
\(701\) −0.313258 0.542579i −0.0118316 0.0204929i 0.860049 0.510211i \(-0.170433\pi\)
−0.871881 + 0.489719i \(0.837100\pi\)
\(702\) −71.3478 123.578i −2.69285 4.66415i
\(703\) −0.162882 0.282120i −0.00614320 0.0106403i
\(704\) 3.42107 0.128936
\(705\) −2.30003 3.98377i −0.0866242 0.150037i
\(706\) −11.0242 19.0945i −0.414902 0.718632i
\(707\) −3.09435 + 5.35957i −0.116375 + 0.201568i
\(708\) 11.9334 20.6692i 0.448483 0.776796i
\(709\) −31.0064 −1.16447 −0.582235 0.813020i \(-0.697822\pi\)
−0.582235 + 0.813020i \(0.697822\pi\)
\(710\) 2.35161 0.0882545
\(711\) −24.5594 + 42.5382i −0.921050 + 1.59531i
\(712\) −2.93542 + 5.08429i −0.110009 + 0.190542i
\(713\) −10.9692 18.9992i −0.410800 0.711527i
\(714\) 7.62196 + 13.2016i 0.285245 + 0.494058i
\(715\) −1.30421 −0.0487746
\(716\) −11.5885 20.0719i −0.433083 0.750121i
\(717\) −17.6865 30.6339i −0.660514 1.14404i
\(718\) −1.31596 2.27932i −0.0491113 0.0850633i
\(719\) −11.5121 + 19.9396i −0.429329 + 0.743620i −0.996814 0.0797641i \(-0.974583\pi\)
0.567485 + 0.823384i \(0.307917\pi\)
\(720\) 5.79912 0.216120
\(721\) −14.2518 + 24.6848i −0.530763 + 0.919309i
\(722\) −15.8972 27.5348i −0.591633 1.02474i
\(723\) 6.84816 0.254686
\(724\) 16.6688 + 28.8712i 0.619490 + 1.07299i
\(725\) 5.76966 9.99335i 0.214280 0.371144i
\(726\) −27.3022 + 47.2888i −1.01328 + 1.75505i
\(727\) −12.6375 −0.468699 −0.234349 0.972152i \(-0.575296\pi\)
−0.234349 + 0.972152i \(0.575296\pi\)
\(728\) −8.67775 + 15.0303i −0.321619 + 0.557060i
\(729\) 17.5052 0.648341
\(730\) 0.662782 0.0245306
\(731\) −5.00039 4.24218i −0.184946 0.156903i
\(732\) 0.590898 0.0218402
\(733\) 7.99592 0.295336 0.147668 0.989037i \(-0.452823\pi\)
0.147668 + 0.989037i \(0.452823\pi\)
\(734\) −30.2351 + 52.3687i −1.11600 + 1.93296i
\(735\) 0.113166 0.00417420
\(736\) −28.1168 + 48.6996i −1.03640 + 1.79509i
\(737\) 3.10183 5.37253i 0.114257 0.197900i
\(738\) 80.3623 + 139.192i 2.95818 + 5.12371i
\(739\) −41.9412 −1.54283 −0.771417 0.636330i \(-0.780452\pi\)
−0.771417 + 0.636330i \(0.780452\pi\)
\(740\) 0.0290845 + 0.0503758i 0.00106917 + 0.00185185i
\(741\) 12.5305 21.7035i 0.460321 0.797299i
\(742\) −48.9064 −1.79541
\(743\) 23.1479 40.0933i 0.849213 1.47088i −0.0326982 0.999465i \(-0.510410\pi\)
0.881911 0.471415i \(-0.156257\pi\)
\(744\) −4.62267 8.00670i −0.169475 0.293540i
\(745\) −1.73783 3.01002i −0.0636693 0.110278i
\(746\) 9.50896 + 16.4700i 0.348148 + 0.603009i
\(747\) −90.0571 −3.29502
\(748\) −0.900494 1.55970i −0.0329253 0.0570283i
\(749\) 16.6842 + 28.8979i 0.609627 + 1.05591i
\(750\) 4.93117 8.54104i 0.180061 0.311875i
\(751\) −3.70135 + 6.41092i −0.135064 + 0.233938i −0.925622 0.378449i \(-0.876457\pi\)
0.790558 + 0.612387i \(0.209791\pi\)
\(752\) 41.5109 1.51375
\(753\) 53.6637 1.95562
\(754\) −12.7788 + 22.1335i −0.465376 + 0.806054i
\(755\) 0.135987 0.235536i 0.00494906 0.00857202i
\(756\) 23.5540 + 40.7967i 0.856650 + 1.48376i
\(757\) 1.18561 + 2.05354i 0.0430917 + 0.0746371i 0.886767 0.462217i \(-0.152946\pi\)
−0.843675 + 0.536854i \(0.819613\pi\)
\(758\) −24.3961 −0.886105
\(759\) 17.2120 + 29.8120i 0.624755 + 1.08211i
\(760\) 0.124445 + 0.215545i 0.00451410 + 0.00781865i
\(761\) −2.72268 4.71582i −0.0986971 0.170948i 0.812449 0.583033i \(-0.198134\pi\)
−0.911146 + 0.412085i \(0.864801\pi\)
\(762\) −13.9748 + 24.2051i −0.506254 + 0.876857i
\(763\) −8.24027 −0.298318
\(764\) −7.98531 + 13.8310i −0.288898 + 0.500387i
\(765\) −0.598597 1.03680i −0.0216423 0.0374856i
\(766\) −9.01539 −0.325739
\(767\) −16.0990 27.8843i −0.581302 1.00685i
\(768\)