Properties

Label 546.2.bu.a.71.12
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.12
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.a.323.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(0.563184 - 1.63793i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.58301 - 1.58301i) q^{5} +(0.120065 - 1.72788i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.36565 - 1.84491i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(0.563184 - 1.63793i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.58301 - 1.58301i) q^{5} +(0.120065 - 1.72788i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.36565 - 1.84491i) q^{9} +(-1.93879 - 1.11936i) q^{10} +(-1.28804 - 4.80702i) q^{11} +(-0.331235 - 1.70008i) q^{12} +(0.738744 + 3.52906i) q^{13} +1.00000i q^{14} +(-3.48440 + 1.70134i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-1.25294 - 2.17015i) q^{17} +(-2.76254 - 1.16978i) q^{18} +(1.54049 + 0.412774i) q^{19} +(-2.16244 - 0.579424i) q^{20} +(1.43636 + 0.967922i) q^{21} +(-2.48830 - 4.30986i) q^{22} +(0.566768 - 0.981671i) q^{23} +(-0.759962 - 1.55642i) q^{24} +0.0118705i q^{25} +(1.62696 + 3.21761i) q^{26} +(-4.35414 + 2.83575i) q^{27} +(0.258819 + 0.965926i) q^{28} +(5.50981 + 3.18109i) q^{29} +(-2.92533 + 2.54520i) q^{30} +(1.36926 - 1.36926i) q^{31} +(0.258819 - 0.965926i) q^{32} +(-8.59898 - 0.597517i) q^{33} +(-1.77192 - 1.77192i) q^{34} +(1.93879 - 1.11936i) q^{35} +(-2.97117 - 0.414918i) q^{36} +(1.84621 - 0.494691i) q^{37} +1.59484 q^{38} +(6.19641 + 0.777496i) q^{39} -2.23872 q^{40} +(3.36855 - 0.902600i) q^{41} +(1.63793 + 0.563184i) q^{42} +(6.80079 - 3.92644i) q^{43} +(-3.51898 - 3.51898i) q^{44} +(0.824330 + 6.66538i) q^{45} +(0.293381 - 1.09491i) q^{46} +(-8.51745 + 8.51745i) q^{47} +(-1.13690 - 1.30670i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(0.00307230 + 0.0114660i) q^{50} +(-4.26020 + 0.830035i) q^{51} +(2.40430 + 2.68688i) q^{52} -1.61436i q^{53} +(-3.47183 + 3.86606i) q^{54} +(-5.57060 + 9.64856i) q^{55} +(0.500000 + 0.866025i) q^{56} +(1.54368 - 2.29076i) q^{57} +(6.14540 + 1.64665i) q^{58} +(5.35382 + 1.43455i) q^{59} +(-2.16691 + 3.21561i) q^{60} +(1.56891 + 2.71743i) q^{61} +(0.968212 - 1.67699i) q^{62} +(2.39433 - 1.80754i) q^{63} -1.00000i q^{64} +(4.41711 - 6.75599i) q^{65} +(-8.46062 + 1.64842i) q^{66} +(-3.18853 - 11.8997i) q^{67} +(-2.17015 - 1.25294i) q^{68} +(-1.28872 - 1.48119i) q^{69} +(1.58301 - 1.58301i) q^{70} +(0.709782 - 2.64894i) q^{71} +(-2.97732 + 0.368215i) q^{72} +(8.64213 + 8.64213i) q^{73} +(1.65527 - 0.955670i) q^{74} +(0.0194430 + 0.00668525i) q^{75} +(1.54049 - 0.412774i) q^{76} +4.97659 q^{77} +(6.18650 - 0.852745i) q^{78} +17.5434 q^{79} +(-2.16244 + 0.579424i) q^{80} +(2.19258 + 8.72884i) q^{81} +(3.02016 - 1.74369i) q^{82} +(4.87907 + 4.87907i) q^{83} +(1.72788 + 0.120065i) q^{84} +(-1.45197 + 5.41881i) q^{85} +(5.55282 - 5.55282i) q^{86} +(8.31346 - 7.23317i) q^{87} +(-4.30986 - 2.48830i) q^{88} +(-1.28335 - 4.78954i) q^{89} +(2.52137 + 6.22491i) q^{90} +(-3.60001 - 0.199816i) q^{91} -1.13354i q^{92} +(-1.47161 - 3.01390i) q^{93} +(-6.02275 + 10.4317i) q^{94} +(-1.78520 - 3.09205i) q^{95} +(-1.43636 - 0.967922i) q^{96} +(-15.8815 - 4.25543i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(-5.82150 + 13.7480i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) 0.563184 1.63793i 0.325154 0.945661i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −1.58301 1.58301i −0.707946 0.707946i 0.258157 0.966103i \(-0.416885\pi\)
−0.966103 + 0.258157i \(0.916885\pi\)
\(6\) 0.120065 1.72788i 0.0490165 0.705406i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −2.36565 1.84491i −0.788549 0.614971i
\(10\) −1.93879 1.11936i −0.613099 0.353973i
\(11\) −1.28804 4.80702i −0.388358 1.44937i −0.832805 0.553566i \(-0.813267\pi\)
0.444447 0.895805i \(-0.353400\pi\)
\(12\) −0.331235 1.70008i −0.0956193 0.490772i
\(13\) 0.738744 + 3.52906i 0.204891 + 0.978785i
\(14\) 1.00000i 0.267261i
\(15\) −3.48440 + 1.70134i −0.899668 + 0.439285i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −1.25294 2.17015i −0.303882 0.526340i 0.673129 0.739525i \(-0.264950\pi\)
−0.977012 + 0.213185i \(0.931616\pi\)
\(18\) −2.76254 1.16978i −0.651137 0.275719i
\(19\) 1.54049 + 0.412774i 0.353414 + 0.0946969i 0.431158 0.902276i \(-0.358105\pi\)
−0.0777444 + 0.996973i \(0.524772\pi\)
\(20\) −2.16244 0.579424i −0.483536 0.129563i
\(21\) 1.43636 + 0.967922i 0.313439 + 0.211218i
\(22\) −2.48830 4.30986i −0.530507 0.918864i
\(23\) 0.566768 0.981671i 0.118179 0.204692i −0.800867 0.598842i \(-0.795628\pi\)
0.919046 + 0.394150i \(0.128961\pi\)
\(24\) −0.759962 1.55642i −0.155127 0.317704i
\(25\) 0.0118705i 0.00237409i
\(26\) 1.62696 + 3.21761i 0.319073 + 0.631025i
\(27\) −4.35414 + 2.83575i −0.837955 + 0.545740i
\(28\) 0.258819 + 0.965926i 0.0489122 + 0.182543i
\(29\) 5.50981 + 3.18109i 1.02315 + 0.590714i 0.915014 0.403422i \(-0.132179\pi\)
0.108133 + 0.994136i \(0.465513\pi\)
\(30\) −2.92533 + 2.54520i −0.534090 + 0.464688i
\(31\) 1.36926 1.36926i 0.245926 0.245926i −0.573370 0.819296i \(-0.694364\pi\)
0.819296 + 0.573370i \(0.194364\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) −8.59898 0.597517i −1.49689 0.104014i
\(34\) −1.77192 1.77192i −0.303882 0.303882i
\(35\) 1.93879 1.11936i 0.327715 0.189206i
\(36\) −2.97117 0.414918i −0.495195 0.0691531i
\(37\) 1.84621 0.494691i 0.303515 0.0813267i −0.103847 0.994593i \(-0.533115\pi\)
0.407362 + 0.913267i \(0.366449\pi\)
\(38\) 1.59484 0.258717
\(39\) 6.19641 + 0.777496i 0.992220 + 0.124499i
\(40\) −2.23872 −0.353973
\(41\) 3.36855 0.902600i 0.526079 0.140963i 0.0140021 0.999902i \(-0.495543\pi\)
0.512077 + 0.858939i \(0.328876\pi\)
\(42\) 1.63793 + 0.563184i 0.252739 + 0.0869011i
\(43\) 6.80079 3.92644i 1.03711 0.598776i 0.118097 0.993002i \(-0.462320\pi\)
0.919014 + 0.394226i \(0.128987\pi\)
\(44\) −3.51898 3.51898i −0.530507 0.530507i
\(45\) 0.824330 + 6.66538i 0.122884 + 0.993616i
\(46\) 0.293381 1.09491i 0.0432566 0.161436i
\(47\) −8.51745 + 8.51745i −1.24240 + 1.24240i −0.283394 + 0.959003i \(0.591460\pi\)
−0.959003 + 0.283394i \(0.908540\pi\)
\(48\) −1.13690 1.30670i −0.164097 0.188606i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) 0.00307230 + 0.0114660i 0.000434489 + 0.00162153i
\(51\) −4.26020 + 0.830035i −0.596548 + 0.116228i
\(52\) 2.40430 + 2.68688i 0.333416 + 0.372604i
\(53\) 1.61436i 0.221750i −0.993834 0.110875i \(-0.964635\pi\)
0.993834 0.110875i \(-0.0353653\pi\)
\(54\) −3.47183 + 3.86606i −0.472456 + 0.526104i
\(55\) −5.57060 + 9.64856i −0.751140 + 1.30101i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) 1.54368 2.29076i 0.204465 0.303418i
\(58\) 6.14540 + 1.64665i 0.806931 + 0.216216i
\(59\) 5.35382 + 1.43455i 0.697007 + 0.186763i 0.589890 0.807484i \(-0.299171\pi\)
0.107118 + 0.994246i \(0.465838\pi\)
\(60\) −2.16691 + 3.21561i −0.279746 + 0.415133i
\(61\) 1.56891 + 2.71743i 0.200878 + 0.347931i 0.948812 0.315843i \(-0.102287\pi\)
−0.747934 + 0.663774i \(0.768954\pi\)
\(62\) 0.968212 1.67699i 0.122963 0.212978i
\(63\) 2.39433 1.80754i 0.301657 0.227729i
\(64\) 1.00000i 0.125000i
\(65\) 4.41711 6.75599i 0.547875 0.837978i
\(66\) −8.46062 + 1.64842i −1.04143 + 0.202907i
\(67\) −3.18853 11.8997i −0.389540 1.45378i −0.830884 0.556446i \(-0.812165\pi\)
0.441343 0.897338i \(-0.354502\pi\)
\(68\) −2.17015 1.25294i −0.263170 0.151941i
\(69\) −1.28872 1.48119i −0.155143 0.178314i
\(70\) 1.58301 1.58301i 0.189206 0.189206i
\(71\) 0.709782 2.64894i 0.0842357 0.314372i −0.910933 0.412555i \(-0.864636\pi\)
0.995168 + 0.0981832i \(0.0313031\pi\)
\(72\) −2.97732 + 0.368215i −0.350880 + 0.0433945i
\(73\) 8.64213 + 8.64213i 1.01148 + 1.01148i 0.999933 + 0.0115511i \(0.00367692\pi\)
0.0115511 + 0.999933i \(0.496323\pi\)
\(74\) 1.65527 0.955670i 0.192421 0.111094i
\(75\) 0.0194430 + 0.00668525i 0.00224509 + 0.000771946i
\(76\) 1.54049 0.412774i 0.176707 0.0473485i
\(77\) 4.97659 0.567135
\(78\) 6.18650 0.852745i 0.700484 0.0965544i
\(79\) 17.5434 1.97379 0.986894 0.161370i \(-0.0515912\pi\)
0.986894 + 0.161370i \(0.0515912\pi\)
\(80\) −2.16244 + 0.579424i −0.241768 + 0.0647815i
\(81\) 2.19258 + 8.72884i 0.243620 + 0.969871i
\(82\) 3.02016 1.74369i 0.333521 0.192558i
\(83\) 4.87907 + 4.87907i 0.535547 + 0.535547i 0.922218 0.386671i \(-0.126375\pi\)
−0.386671 + 0.922218i \(0.626375\pi\)
\(84\) 1.72788 + 0.120065i 0.188528 + 0.0131002i
\(85\) −1.45197 + 5.41881i −0.157488 + 0.587752i
\(86\) 5.55282 5.55282i 0.598776 0.598776i
\(87\) 8.31346 7.23317i 0.891296 0.775477i
\(88\) −4.30986 2.48830i −0.459432 0.265253i
\(89\) −1.28335 4.78954i −0.136035 0.507690i −0.999991 0.00412321i \(-0.998688\pi\)
0.863956 0.503567i \(-0.167979\pi\)
\(90\) 2.52137 + 6.22491i 0.265776 + 0.656163i
\(91\) −3.60001 0.199816i −0.377384 0.0209464i
\(92\) 1.13354i 0.118179i
\(93\) −1.47161 3.01390i −0.152599 0.312527i
\(94\) −6.02275 + 10.4317i −0.621199 + 1.07595i
\(95\) −1.78520 3.09205i −0.183157 0.317238i
\(96\) −1.43636 0.967922i −0.146598 0.0987881i
\(97\) −15.8815 4.25543i −1.61252 0.432073i −0.663727 0.747975i \(-0.731026\pi\)
−0.948792 + 0.315902i \(0.897693\pi\)
\(98\) −0.965926 0.258819i −0.0975732 0.0261447i
\(99\) −5.82150 + 13.7480i −0.585082 + 1.38173i
\(100\) 0.00593523 + 0.0102801i 0.000593523 + 0.00102801i
\(101\) 2.68778 4.65537i 0.267444 0.463226i −0.700757 0.713400i \(-0.747154\pi\)
0.968201 + 0.250174i \(0.0804877\pi\)
\(102\) −3.90021 + 1.90437i −0.386178 + 0.188561i
\(103\) 10.5077i 1.03535i −0.855577 0.517676i \(-0.826797\pi\)
0.855577 0.517676i \(-0.173203\pi\)
\(104\) 3.01779 + 1.97305i 0.295919 + 0.193474i
\(105\) −0.741543 3.80601i −0.0723672 0.371429i
\(106\) −0.417828 1.55936i −0.0405831 0.151458i
\(107\) 14.0696 + 8.12308i 1.36016 + 0.785288i 0.989645 0.143539i \(-0.0458483\pi\)
0.370514 + 0.928827i \(0.379182\pi\)
\(108\) −2.35292 + 4.63290i −0.226410 + 0.445801i
\(109\) −8.50467 + 8.50467i −0.814600 + 0.814600i −0.985320 0.170720i \(-0.945391\pi\)
0.170720 + 0.985320i \(0.445391\pi\)
\(110\) −2.88356 + 10.7616i −0.274936 + 1.02608i
\(111\) 0.229486 3.30257i 0.0217818 0.313466i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) −0.529726 + 0.305837i −0.0498324 + 0.0287707i −0.524709 0.851282i \(-0.675826\pi\)
0.474877 + 0.880052i \(0.342493\pi\)
\(114\) 0.898186 2.61224i 0.0841229 0.244658i
\(115\) −2.45120 + 0.656797i −0.228576 + 0.0612467i
\(116\) 6.36219 0.590714
\(117\) 4.76320 9.71143i 0.440358 0.897822i
\(118\) 5.54268 0.510245
\(119\) 2.42049 0.648569i 0.221886 0.0594542i
\(120\) −1.26081 + 3.66687i −0.115096 + 0.334738i
\(121\) −11.9221 + 6.88324i −1.08383 + 0.625749i
\(122\) 2.21877 + 2.21877i 0.200878 + 0.200878i
\(123\) 0.418714 6.02579i 0.0377542 0.543327i
\(124\) 0.501184 1.87044i 0.0450076 0.167971i
\(125\) −7.89628 + 7.89628i −0.706265 + 0.706265i
\(126\) 1.84491 2.36565i 0.164358 0.210749i
\(127\) 3.09276 + 1.78561i 0.274438 + 0.158447i 0.630903 0.775862i \(-0.282685\pi\)
−0.356465 + 0.934309i \(0.616018\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) −2.60115 13.3505i −0.229018 1.17545i
\(130\) 2.51802 7.66902i 0.220845 0.672618i
\(131\) 21.9639i 1.91899i 0.281722 + 0.959496i \(0.409094\pi\)
−0.281722 + 0.959496i \(0.590906\pi\)
\(132\) −7.74569 + 3.78202i −0.674176 + 0.329183i
\(133\) −0.797419 + 1.38117i −0.0691450 + 0.119763i
\(134\) −6.15976 10.6690i −0.532122 0.921662i
\(135\) 11.3817 + 2.40364i 0.979581 + 0.206872i
\(136\) −2.42049 0.648569i −0.207556 0.0556143i
\(137\) −3.85986 1.03425i −0.329770 0.0883616i 0.0901352 0.995930i \(-0.471270\pi\)
−0.419905 + 0.907568i \(0.637937\pi\)
\(138\) −1.62816 1.09717i −0.138599 0.0933976i
\(139\) −5.62224 9.73800i −0.476872 0.825966i 0.522777 0.852470i \(-0.324896\pi\)
−0.999649 + 0.0265031i \(0.991563\pi\)
\(140\) 1.11936 1.93879i 0.0946032 0.163858i
\(141\) 9.15412 + 18.7479i 0.770916 + 1.57886i
\(142\) 2.74239i 0.230136i
\(143\) 16.0127 8.09671i 1.33905 0.677081i
\(144\) −2.78057 + 1.12625i −0.231714 + 0.0938545i
\(145\) −3.68640 13.7578i −0.306139 1.14253i
\(146\) 10.5844 + 6.11091i 0.875971 + 0.505742i
\(147\) −1.30670 + 1.13690i −0.107775 + 0.0937699i
\(148\) 1.35152 1.35152i 0.111094 0.111094i
\(149\) −1.48620 + 5.54659i −0.121755 + 0.454394i −0.999703 0.0243606i \(-0.992245\pi\)
0.877949 + 0.478755i \(0.158912\pi\)
\(150\) 0.0205108 + 0.00142523i 0.00167470 + 0.000116370i
\(151\) 4.76868 + 4.76868i 0.388070 + 0.388070i 0.873998 0.485929i \(-0.161519\pi\)
−0.485929 + 0.873998i \(0.661519\pi\)
\(152\) 1.38117 0.797419i 0.112028 0.0646792i
\(153\) −1.03974 + 7.44539i −0.0840576 + 0.601924i
\(154\) 4.80702 1.28804i 0.387361 0.103793i
\(155\) −4.33511 −0.348205
\(156\) 5.75500 2.42487i 0.460768 0.194145i
\(157\) −3.72232 −0.297074 −0.148537 0.988907i \(-0.547456\pi\)
−0.148537 + 0.988907i \(0.547456\pi\)
\(158\) 16.9456 4.54057i 1.34812 0.361228i
\(159\) −2.64422 0.909183i −0.209700 0.0721029i
\(160\) −1.93879 + 1.11936i −0.153275 + 0.0884932i
\(161\) 0.801531 + 0.801531i 0.0631695 + 0.0631695i
\(162\) 4.37706 + 7.86393i 0.343894 + 0.617848i
\(163\) −0.0370686 + 0.138342i −0.00290343 + 0.0108358i −0.967362 0.253397i \(-0.918452\pi\)
0.964459 + 0.264233i \(0.0851187\pi\)
\(164\) 2.46595 2.46595i 0.192558 0.192558i
\(165\) 12.6664 + 14.5582i 0.986080 + 1.13335i
\(166\) 5.97561 + 3.45002i 0.463798 + 0.267774i
\(167\) −0.947784 3.53718i −0.0733418 0.273715i 0.919510 0.393066i \(-0.128585\pi\)
−0.992852 + 0.119350i \(0.961919\pi\)
\(168\) 1.70008 0.331235i 0.131164 0.0255553i
\(169\) −11.9085 + 5.21414i −0.916040 + 0.401088i
\(170\) 5.60996i 0.430264i
\(171\) −2.88273 3.81856i −0.220448 0.292012i
\(172\) 3.92644 6.80079i 0.299388 0.518556i
\(173\) 5.32718 + 9.22695i 0.405018 + 0.701512i 0.994324 0.106399i \(-0.0339319\pi\)
−0.589306 + 0.807910i \(0.700599\pi\)
\(174\) 6.15810 9.13838i 0.466844 0.692779i
\(175\) −0.0114660 0.00307230i −0.000866747 0.000232244i
\(176\) −4.80702 1.28804i −0.362343 0.0970894i
\(177\) 5.36488 7.96128i 0.403249 0.598406i
\(178\) −2.47925 4.29418i −0.185827 0.321862i
\(179\) 5.67227 9.82466i 0.423966 0.734330i −0.572358 0.820004i \(-0.693971\pi\)
0.996323 + 0.0856742i \(0.0273044\pi\)
\(180\) 4.04658 + 5.36023i 0.301614 + 0.399528i
\(181\) 21.0789i 1.56678i 0.621528 + 0.783392i \(0.286512\pi\)
−0.621528 + 0.783392i \(0.713488\pi\)
\(182\) −3.52906 + 0.738744i −0.261591 + 0.0547593i
\(183\) 5.33455 1.03935i 0.394341 0.0768313i
\(184\) −0.293381 1.09491i −0.0216283 0.0807179i
\(185\) −3.70568 2.13948i −0.272447 0.157298i
\(186\) −2.20152 2.53032i −0.161423 0.185532i
\(187\) −8.81814 + 8.81814i −0.644847 + 0.644847i
\(188\) −3.11760 + 11.6351i −0.227375 + 0.848573i
\(189\) −1.61219 4.93972i −0.117269 0.359312i
\(190\) −2.52465 2.52465i −0.183157 0.183157i
\(191\) 12.3423 7.12581i 0.893055 0.515606i 0.0181148 0.999836i \(-0.494234\pi\)
0.874941 + 0.484230i \(0.160900\pi\)
\(192\) −1.63793 0.563184i −0.118208 0.0406443i
\(193\) −23.8028 + 6.37795i −1.71337 + 0.459095i −0.976246 0.216667i \(-0.930482\pi\)
−0.737120 + 0.675762i \(0.763815\pi\)
\(194\) −16.4417 −1.18045
\(195\) −8.57822 11.0398i −0.614299 0.790576i
\(196\) −1.00000 −0.0714286
\(197\) −12.8235 + 3.43606i −0.913639 + 0.244809i −0.684865 0.728670i \(-0.740139\pi\)
−0.228775 + 0.973479i \(0.573472\pi\)
\(198\) −2.06488 + 14.7863i −0.146745 + 1.05082i
\(199\) 10.9034 6.29510i 0.772924 0.446248i −0.0609926 0.998138i \(-0.519427\pi\)
0.833917 + 0.551890i \(0.186093\pi\)
\(200\) 0.00839368 + 0.00839368i 0.000593523 + 0.000593523i
\(201\) −21.2867 1.47915i −1.50145 0.104331i
\(202\) 1.39130 5.19239i 0.0978912 0.365335i
\(203\) −4.49875 + 4.49875i −0.315750 + 0.315750i
\(204\) −3.27443 + 2.84893i −0.229256 + 0.199465i
\(205\) −6.76130 3.90364i −0.472229 0.272642i
\(206\) −2.71958 10.1496i −0.189482 0.707158i
\(207\) −3.15187 + 1.27665i −0.219070 + 0.0887333i
\(208\) 3.42563 + 1.12476i 0.237524 + 0.0779880i
\(209\) 7.93686i 0.549004i
\(210\) −1.70134 3.48440i −0.117404 0.240446i
\(211\) −13.5521 + 23.4730i −0.932967 + 1.61595i −0.154748 + 0.987954i \(0.549456\pi\)
−0.778219 + 0.627992i \(0.783877\pi\)
\(212\) −0.807182 1.39808i −0.0554375 0.0960205i
\(213\) −3.93905 2.65442i −0.269900 0.181878i
\(214\) 15.6926 + 4.20482i 1.07272 + 0.287435i
\(215\) −16.9814 4.55014i −1.15812 0.310317i
\(216\) −1.07367 + 5.08402i −0.0730537 + 0.345924i
\(217\) 0.968212 + 1.67699i 0.0657265 + 0.113842i
\(218\) −6.01371 + 10.4161i −0.407300 + 0.705464i
\(219\) 19.0223 9.28812i 1.28541 0.627633i
\(220\) 11.1412i 0.751140i
\(221\) 6.73300 6.02488i 0.452911 0.405278i
\(222\) −0.633103 3.24944i −0.0424911 0.218088i
\(223\) −2.15953 8.05949i −0.144613 0.539704i −0.999772 0.0213380i \(-0.993207\pi\)
0.855159 0.518365i \(-0.173459\pi\)
\(224\) 0.866025 + 0.500000i 0.0578638 + 0.0334077i
\(225\) 0.0219000 0.0280813i 0.00146000 0.00187209i
\(226\) −0.432519 + 0.432519i −0.0287707 + 0.0287707i
\(227\) −3.42193 + 12.7708i −0.227121 + 0.847628i 0.754422 + 0.656389i \(0.227917\pi\)
−0.981544 + 0.191239i \(0.938750\pi\)
\(228\) 0.191485 2.75569i 0.0126814 0.182500i
\(229\) −16.1525 16.1525i −1.06739 1.06739i −0.997559 0.0698266i \(-0.977755\pi\)
−0.0698266 0.997559i \(-0.522245\pi\)
\(230\) −2.19769 + 1.26883i −0.144911 + 0.0836645i
\(231\) 2.80274 8.15133i 0.184406 0.536318i
\(232\) 6.14540 1.64665i 0.403465 0.108108i
\(233\) −2.62536 −0.171993 −0.0859967 0.996295i \(-0.527407\pi\)
−0.0859967 + 0.996295i \(0.527407\pi\)
\(234\) 2.08740 10.6133i 0.136457 0.693815i
\(235\) 26.9665 1.75910
\(236\) 5.35382 1.43455i 0.348504 0.0933813i
\(237\) 9.88016 28.7349i 0.641786 1.86653i
\(238\) 2.17015 1.25294i 0.140670 0.0812160i
\(239\) −19.2179 19.2179i −1.24310 1.24310i −0.958708 0.284393i \(-0.908208\pi\)
−0.284393 0.958708i \(-0.591792\pi\)
\(240\) −0.268793 + 3.86825i −0.0173505 + 0.249694i
\(241\) 2.64967 9.88872i 0.170681 0.636988i −0.826567 0.562839i \(-0.809709\pi\)
0.997247 0.0741495i \(-0.0236242\pi\)
\(242\) −9.73437 + 9.73437i −0.625749 + 0.625749i
\(243\) 15.5321 + 1.32463i 0.996383 + 0.0849753i
\(244\) 2.71743 + 1.56891i 0.173965 + 0.100439i
\(245\) 0.579424 + 2.16244i 0.0370180 + 0.138153i
\(246\) −1.15514 5.92884i −0.0736492 0.378009i
\(247\) −0.318674 + 5.74143i −0.0202768 + 0.365318i
\(248\) 1.93642i 0.122963i
\(249\) 10.7394 5.24377i 0.680582 0.332311i
\(250\) −5.58351 + 9.67093i −0.353132 + 0.611643i
\(251\) −10.0300 17.3724i −0.633087 1.09654i −0.986917 0.161229i \(-0.948454\pi\)
0.353830 0.935310i \(-0.384879\pi\)
\(252\) 1.16978 2.76254i 0.0736889 0.174024i
\(253\) −5.44893 1.46004i −0.342571 0.0917917i
\(254\) 3.44953 + 0.924299i 0.216443 + 0.0579956i
\(255\) 8.05792 + 5.43001i 0.504607 + 0.340040i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −9.14621 + 15.8417i −0.570525 + 0.988178i 0.425987 + 0.904729i \(0.359927\pi\)
−0.996512 + 0.0834485i \(0.973407\pi\)
\(258\) −5.96789 12.2224i −0.371545 0.760934i
\(259\) 1.91134i 0.118765i
\(260\) 0.447333 8.05942i 0.0277424 0.499824i
\(261\) −7.16544 17.6905i −0.443530 1.09501i
\(262\) 5.68467 + 21.2155i 0.351200 + 1.31070i
\(263\) 24.5608 + 14.1802i 1.51449 + 0.874389i 0.999856 + 0.0169770i \(0.00540421\pi\)
0.514630 + 0.857412i \(0.327929\pi\)
\(264\) −6.50290 + 5.65789i −0.400226 + 0.348219i
\(265\) −2.55556 + 2.55556i −0.156987 + 0.156987i
\(266\) −0.412774 + 1.54049i −0.0253088 + 0.0944538i
\(267\) −8.56770 0.595344i −0.524335 0.0364344i
\(268\) −8.71121 8.71121i −0.532122 0.532122i
\(269\) 7.67274 4.42986i 0.467815 0.270093i −0.247510 0.968885i \(-0.579612\pi\)
0.715325 + 0.698792i \(0.246279\pi\)
\(270\) 11.6160 0.624064i 0.706926 0.0379793i
\(271\) 20.9937 5.62524i 1.27527 0.341709i 0.443225 0.896410i \(-0.353834\pi\)
0.832049 + 0.554701i \(0.187168\pi\)
\(272\) −2.50588 −0.151941
\(273\) −2.35475 + 5.78404i −0.142516 + 0.350066i
\(274\) −3.99602 −0.241408
\(275\) 0.0570615 0.0152896i 0.00344094 0.000921997i
\(276\) −1.85666 0.638389i −0.111758 0.0384265i
\(277\) −5.24317 + 3.02715i −0.315032 + 0.181884i −0.649176 0.760638i \(-0.724886\pi\)
0.334144 + 0.942522i \(0.391553\pi\)
\(278\) −7.95104 7.95104i −0.476872 0.476872i
\(279\) −5.76535 + 0.713020i −0.345162 + 0.0426874i
\(280\) 0.579424 2.16244i 0.0346272 0.129230i
\(281\) 3.97123 3.97123i 0.236904 0.236904i −0.578663 0.815567i \(-0.696425\pi\)
0.815567 + 0.578663i \(0.196425\pi\)
\(282\) 13.6945 + 15.7398i 0.815497 + 0.937293i
\(283\) 5.01459 + 2.89518i 0.298087 + 0.172100i 0.641583 0.767054i \(-0.278278\pi\)
−0.343496 + 0.939154i \(0.611611\pi\)
\(284\) −0.709782 2.64894i −0.0421178 0.157186i
\(285\) −6.06997 + 1.18264i −0.359554 + 0.0700535i
\(286\) 13.3715 11.9652i 0.790675 0.707519i
\(287\) 3.48738i 0.205854i
\(288\) −2.39433 + 1.80754i −0.141087 + 0.106510i
\(289\) 5.36029 9.28429i 0.315311 0.546135i
\(290\) −7.12158 12.3349i −0.418194 0.724332i
\(291\) −15.9143 + 23.6162i −0.932912 + 1.38441i
\(292\) 11.8054 + 3.16324i 0.690857 + 0.185114i
\(293\) −25.7752 6.90644i −1.50580 0.403478i −0.590763 0.806845i \(-0.701173\pi\)
−0.915038 + 0.403367i \(0.867840\pi\)
\(294\) −0.967922 + 1.43636i −0.0564504 + 0.0837702i
\(295\) −6.20425 10.7461i −0.361226 0.625661i
\(296\) 0.955670 1.65527i 0.0555472 0.0962105i
\(297\) 19.2398 + 17.2779i 1.11641 + 1.00256i
\(298\) 5.74225i 0.332640i
\(299\) 3.88307 + 1.27495i 0.224564 + 0.0737325i
\(300\) 0.0201808 0.00393191i 0.00116514 0.000227009i
\(301\) 2.03247 + 7.58530i 0.117150 + 0.437209i
\(302\) 5.84042 + 3.37197i 0.336078 + 0.194035i
\(303\) −6.11146 7.02422i −0.351094 0.403531i
\(304\) 1.12772 1.12772i 0.0646792 0.0646792i
\(305\) 1.81812 6.78533i 0.104105 0.388527i
\(306\) 0.922701 + 7.46080i 0.0527473 + 0.426505i
\(307\) 11.6341 + 11.6341i 0.663995 + 0.663995i 0.956319 0.292324i \(-0.0944287\pi\)
−0.292324 + 0.956319i \(0.594429\pi\)
\(308\) 4.30986 2.48830i 0.245577 0.141784i
\(309\) −17.2109 5.91775i −0.979091 0.336649i
\(310\) −4.18740 + 1.12201i −0.237828 + 0.0637259i
\(311\) −32.9657 −1.86931 −0.934656 0.355554i \(-0.884292\pi\)
−0.934656 + 0.355554i \(0.884292\pi\)
\(312\) 4.93130 3.83175i 0.279180 0.216930i
\(313\) 0.469408 0.0265325 0.0132663 0.999912i \(-0.495777\pi\)
0.0132663 + 0.999912i \(0.495777\pi\)
\(314\) −3.59549 + 0.963408i −0.202905 + 0.0543682i
\(315\) −6.65162 0.928887i −0.374776 0.0523368i
\(316\) 15.1930 8.77171i 0.854675 0.493447i
\(317\) −8.07451 8.07451i −0.453510 0.453510i 0.443008 0.896518i \(-0.353911\pi\)
−0.896518 + 0.443008i \(0.853911\pi\)
\(318\) −2.78943 0.193829i −0.156424 0.0108694i
\(319\) 8.19473 30.5832i 0.458817 1.71233i
\(320\) −1.58301 + 1.58301i −0.0884932 + 0.0884932i
\(321\) 21.2288 18.4703i 1.18488 1.03091i
\(322\) 0.981671 + 0.566768i 0.0547064 + 0.0315847i
\(323\) −1.03436 3.86029i −0.0575535 0.214792i
\(324\) 6.26325 + 6.46310i 0.347958 + 0.359061i
\(325\) −0.0418915 + 0.00876922i −0.00232372 + 0.000486429i
\(326\) 0.143222i 0.00793233i
\(327\) 9.14039 + 18.7198i 0.505465 + 1.03521i
\(328\) 1.74369 3.02016i 0.0962792 0.166760i
\(329\) −6.02275 10.4317i −0.332045 0.575118i
\(330\) 16.0028 + 10.7838i 0.880923 + 0.593629i
\(331\) −14.9180 3.99725i −0.819965 0.219709i −0.175634 0.984456i \(-0.556198\pi\)
−0.644331 + 0.764747i \(0.722864\pi\)
\(332\) 6.66493 + 1.78586i 0.365786 + 0.0980120i
\(333\) −5.28015 2.23584i −0.289350 0.122523i
\(334\) −1.83098 3.17135i −0.100187 0.173528i
\(335\) −13.7900 + 23.8849i −0.753427 + 1.30497i
\(336\) 1.55642 0.759962i 0.0849099 0.0414593i
\(337\) 21.9719i 1.19688i −0.801166 0.598442i \(-0.795787\pi\)
0.801166 0.598442i \(-0.204213\pi\)
\(338\) −10.1532 + 8.11862i −0.552263 + 0.441595i
\(339\) 0.202608 + 1.03990i 0.0110042 + 0.0564795i
\(340\) 1.45197 + 5.41881i 0.0787439 + 0.293876i
\(341\) −8.34571 4.81840i −0.451946 0.260931i
\(342\) −3.77282 2.94234i −0.204011 0.159103i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) 2.03247 7.58530i 0.109584 0.408972i
\(345\) −0.304686 + 4.38480i −0.0164038 + 0.236070i
\(346\) 7.53377 + 7.53377i 0.405018 + 0.405018i
\(347\) −23.4175 + 13.5201i −1.25712 + 0.725798i −0.972514 0.232846i \(-0.925196\pi\)
−0.284606 + 0.958645i \(0.591863\pi\)
\(348\) 3.58308 10.4208i 0.192073 0.558615i
\(349\) 10.1686 2.72467i 0.544313 0.145848i 0.0238236 0.999716i \(-0.492416\pi\)
0.520490 + 0.853868i \(0.325749\pi\)
\(350\) −0.0118705 −0.000634503
\(351\) −13.2241 13.2711i −0.705851 0.708360i
\(352\) −4.97659 −0.265253
\(353\) 24.4009 6.53820i 1.29873 0.347993i 0.457759 0.889076i \(-0.348652\pi\)
0.840969 + 0.541083i \(0.181985\pi\)
\(354\) 3.12155 9.07853i 0.165908 0.482519i
\(355\) −5.31691 + 3.06972i −0.282192 + 0.162924i
\(356\) −3.50618 3.50618i −0.185827 0.185827i
\(357\) 0.300869 4.32987i 0.0159237 0.229161i
\(358\) 2.93618 10.9580i 0.155182 0.579148i
\(359\) 10.0644 10.0644i 0.531180 0.531180i −0.389744 0.920923i \(-0.627436\pi\)
0.920923 + 0.389744i \(0.127436\pi\)
\(360\) 5.29603 + 4.13025i 0.279125 + 0.217683i
\(361\) −14.2517 8.22825i −0.750092 0.433066i
\(362\) 5.45563 + 20.3607i 0.286741 + 1.07013i
\(363\) 4.55994 + 23.4042i 0.239335 + 1.22840i
\(364\) −3.21761 + 1.62696i −0.168649 + 0.0852758i
\(365\) 27.3612i 1.43215i
\(366\) 4.88377 2.38462i 0.255279 0.124646i
\(367\) 10.9933 19.0409i 0.573845 0.993929i −0.422321 0.906446i \(-0.638784\pi\)
0.996166 0.0874825i \(-0.0278822\pi\)
\(368\) −0.566768 0.981671i −0.0295448 0.0511731i
\(369\) −9.63403 4.07945i −0.501527 0.212368i
\(370\) −4.13315 1.10747i −0.214872 0.0575749i
\(371\) 1.55936 + 0.417828i 0.0809577 + 0.0216926i
\(372\) −2.78140 1.87431i −0.144209 0.0971783i
\(373\) 4.13080 + 7.15475i 0.213885 + 0.370459i 0.952927 0.303200i \(-0.0980550\pi\)
−0.739042 + 0.673659i \(0.764722\pi\)
\(374\) −6.23537 + 10.8000i −0.322423 + 0.558453i
\(375\) 8.48652 + 17.3806i 0.438242 + 0.897532i
\(376\) 12.0455i 0.621199i
\(377\) −7.15592 + 21.7945i −0.368549 + 1.12247i
\(378\) −2.83575 4.35414i −0.145855 0.223953i
\(379\) 7.14022 + 26.6477i 0.366769 + 1.36880i 0.865007 + 0.501759i \(0.167314\pi\)
−0.498239 + 0.867040i \(0.666020\pi\)
\(380\) −3.09205 1.78520i −0.158619 0.0915787i
\(381\) 4.66650 4.06011i 0.239072 0.208006i
\(382\) 10.0774 10.0774i 0.515606 0.515606i
\(383\) −8.42594 + 31.4460i −0.430545 + 1.60682i 0.320962 + 0.947092i \(0.395994\pi\)
−0.751507 + 0.659725i \(0.770673\pi\)
\(384\) −1.72788 0.120065i −0.0881757 0.00612707i
\(385\) −7.87802 7.87802i −0.401501 0.401501i
\(386\) −21.3410 + 12.3213i −1.08623 + 0.627135i
\(387\) −23.3322 3.25830i −1.18604 0.165629i
\(388\) −15.8815 + 4.25543i −0.806260 + 0.216037i
\(389\) 8.73060 0.442659 0.221330 0.975199i \(-0.428960\pi\)
0.221330 + 0.975199i \(0.428960\pi\)
\(390\) −11.1432 8.44342i −0.564260 0.427549i
\(391\) −2.84050 −0.143650
\(392\) −0.965926 + 0.258819i −0.0487866 + 0.0130723i
\(393\) 35.9753 + 12.3697i 1.81472 + 0.623968i
\(394\) −11.4973 + 6.63795i −0.579224 + 0.334415i
\(395\) −27.7715 27.7715i −1.39733 1.39733i
\(396\) 1.83245 + 14.8169i 0.0920843 + 0.744577i
\(397\) −0.479393 + 1.78912i −0.0240600 + 0.0897933i −0.976912 0.213643i \(-0.931467\pi\)
0.952852 + 0.303436i \(0.0981338\pi\)
\(398\) 8.90262 8.90262i 0.446248 0.446248i
\(399\) 1.81317 + 2.08397i 0.0907720 + 0.104329i
\(400\) 0.0102801 + 0.00593523i 0.000514006 + 0.000296761i
\(401\) −4.16963 15.5613i −0.208221 0.777093i −0.988443 0.151590i \(-0.951561\pi\)
0.780222 0.625503i \(-0.215106\pi\)
\(402\) −20.9442 + 4.08066i −1.04460 + 0.203525i
\(403\) 5.84373 + 3.82066i 0.291097 + 0.190321i
\(404\) 5.37555i 0.267444i
\(405\) 10.3470 17.2888i 0.514146 0.859086i
\(406\) −3.18109 + 5.50981i −0.157875 + 0.273448i
\(407\) −4.75598 8.23760i −0.235745 0.408323i
\(408\) −2.42549 + 3.59934i −0.120080 + 0.178194i
\(409\) −4.38075 1.17382i −0.216614 0.0580416i 0.148880 0.988855i \(-0.452433\pi\)
−0.365494 + 0.930814i \(0.619100\pi\)
\(410\) −7.54124 2.02067i −0.372436 0.0997938i
\(411\) −3.86784 + 5.73972i −0.190786 + 0.283120i
\(412\) −5.25383 9.09991i −0.258838 0.448320i
\(413\) −2.77134 + 4.80010i −0.136369 + 0.236197i
\(414\) −2.71405 + 2.04891i −0.133388 + 0.100699i
\(415\) 15.4473i 0.758277i
\(416\) 3.60001 + 0.199816i 0.176505 + 0.00979679i
\(417\) −19.1165 + 3.72456i −0.936141 + 0.182393i
\(418\) −2.05421 7.66641i −0.100475 0.374977i
\(419\) 27.3709 + 15.8026i 1.33716 + 0.772008i 0.986385 0.164453i \(-0.0525860\pi\)
0.350772 + 0.936461i \(0.385919\pi\)
\(420\) −2.54520 2.92533i −0.124193 0.142742i
\(421\) −7.48230 + 7.48230i −0.364665 + 0.364665i −0.865527 0.500862i \(-0.833016\pi\)
0.500862 + 0.865527i \(0.333016\pi\)
\(422\) −7.01510 + 26.1807i −0.341490 + 1.27446i
\(423\) 35.8633 4.43533i 1.74373 0.215653i
\(424\) −1.14153 1.14153i −0.0554375 0.0554375i
\(425\) 0.0257607 0.0148730i 0.00124958 0.000721445i
\(426\) −4.49185 1.54447i −0.217631 0.0748297i
\(427\) −3.03090 + 0.812126i −0.146675 + 0.0393015i
\(428\) 16.2462 0.785288
\(429\) −4.24377 30.7877i −0.204891 1.48644i
\(430\) −17.5804 −0.847802
\(431\) 28.2946 7.58152i 1.36290 0.365189i 0.498021 0.867165i \(-0.334060\pi\)
0.864882 + 0.501976i \(0.167393\pi\)
\(432\) 0.278759 + 5.18867i 0.0134118 + 0.249640i
\(433\) 1.27868 0.738247i 0.0614495 0.0354779i −0.468960 0.883219i \(-0.655371\pi\)
0.530410 + 0.847741i \(0.322038\pi\)
\(434\) 1.36926 + 1.36926i 0.0657265 + 0.0657265i
\(435\) −24.6105 1.71011i −1.17998 0.0819936i
\(436\) −3.11293 + 11.6176i −0.149082 + 0.556382i
\(437\) 1.27831 1.27831i 0.0611499 0.0611499i
\(438\) 15.9702 13.8950i 0.763086 0.663928i
\(439\) 4.51923 + 2.60918i 0.215691 + 0.124529i 0.603953 0.797020i \(-0.293591\pi\)
−0.388263 + 0.921549i \(0.626925\pi\)
\(440\) 2.88356 + 10.7616i 0.137468 + 0.513038i
\(441\) 1.12625 + 2.78057i 0.0536312 + 0.132408i
\(442\) 4.94423 7.56222i 0.235173 0.359698i
\(443\) 31.3186i 1.48799i 0.668184 + 0.743996i \(0.267072\pi\)
−0.668184 + 0.743996i \(0.732928\pi\)
\(444\) −1.45255 2.97486i −0.0689348 0.141180i
\(445\) −5.55034 + 9.61347i −0.263111 + 0.455722i
\(446\) −4.17190 7.22594i −0.197545 0.342158i
\(447\) 8.24793 + 5.55805i 0.390114 + 0.262887i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) −14.3287 3.83936i −0.676213 0.181191i −0.0956610 0.995414i \(-0.530496\pi\)
−0.580552 + 0.814223i \(0.697163\pi\)
\(450\) 0.0138858 0.0327926i 0.000654581 0.00154586i
\(451\) −8.67764 15.0301i −0.408614 0.707740i
\(452\) −0.305837 + 0.529726i −0.0143854 + 0.0249162i
\(453\) 10.4964 5.12514i 0.493165 0.240800i
\(454\) 13.2213i 0.620507i
\(455\) 5.38256 + 6.01518i 0.252338 + 0.281996i
\(456\) −0.528266 2.71136i −0.0247383 0.126971i
\(457\) 9.76856 + 36.4568i 0.456954 + 1.70537i 0.682280 + 0.731091i \(0.260989\pi\)
−0.225326 + 0.974283i \(0.572345\pi\)
\(458\) −19.7827 11.4215i −0.924383 0.533693i
\(459\) 11.6095 + 5.89614i 0.541884 + 0.275208i
\(460\) −1.79440 + 1.79440i −0.0836645 + 0.0836645i
\(461\) −5.51810 + 20.5938i −0.257004 + 0.959150i 0.709961 + 0.704241i \(0.248712\pi\)
−0.966965 + 0.254910i \(0.917954\pi\)
\(462\) 0.597517 8.59898i 0.0277990 0.400061i
\(463\) 13.5636 + 13.5636i 0.630356 + 0.630356i 0.948157 0.317801i \(-0.102944\pi\)
−0.317801 + 0.948157i \(0.602944\pi\)
\(464\) 5.50981 3.18109i 0.255787 0.147679i
\(465\) −2.44147 + 7.10063i −0.113220 + 0.329284i
\(466\) −2.53591 + 0.679494i −0.117474 + 0.0314770i
\(467\) 17.4566 0.807796 0.403898 0.914804i \(-0.367655\pi\)
0.403898 + 0.914804i \(0.367655\pi\)
\(468\) −0.730660 10.7919i −0.0337748 0.498858i
\(469\) 12.3195 0.568862
\(470\) 26.0476 6.97944i 1.20149 0.321938i
\(471\) −2.09635 + 6.09691i −0.0965947 + 0.280931i
\(472\) 4.80010 2.77134i 0.220943 0.127561i
\(473\) −27.6341 27.6341i −1.27062 1.27062i
\(474\) 2.10636 30.3130i 0.0967482 1.39232i
\(475\) −0.00489982 + 0.0182864i −0.000224819 + 0.000839036i
\(476\) 1.77192 1.77192i 0.0812160 0.0812160i
\(477\) −2.97836 + 3.81902i −0.136370 + 0.174861i
\(478\) −23.5370 13.5891i −1.07656 0.621550i
\(479\) 2.23517 + 8.34178i 0.102128 + 0.381146i 0.998003 0.0631589i \(-0.0201175\pi\)
−0.895876 + 0.444304i \(0.853451\pi\)
\(480\) 0.741543 + 3.80601i 0.0338466 + 0.173720i
\(481\) 3.10967 + 6.14994i 0.141789 + 0.280413i
\(482\) 10.2376i 0.466308i
\(483\) 1.76426 0.861444i 0.0802767 0.0391971i
\(484\) −6.88324 + 11.9221i −0.312874 + 0.541915i
\(485\) 18.4042 + 31.8770i 0.835692 + 1.44746i
\(486\) 15.3457 2.74050i 0.696094 0.124312i
\(487\) 0.718108 + 0.192417i 0.0325406 + 0.00871922i 0.275053 0.961429i \(-0.411305\pi\)
−0.242512 + 0.970148i \(0.577971\pi\)
\(488\) 3.03090 + 0.812126i 0.137202 + 0.0367632i
\(489\) 0.205718 + 0.138628i 0.00930289 + 0.00626896i
\(490\) 1.11936 + 1.93879i 0.0505675 + 0.0875856i
\(491\) 17.7481 30.7405i 0.800959 1.38730i −0.118027 0.993010i \(-0.537657\pi\)
0.918986 0.394291i \(-0.129010\pi\)
\(492\) −2.65028 5.42784i −0.119484 0.244706i
\(493\) 15.9429i 0.718031i
\(494\) 1.17818 + 5.62827i 0.0530086 + 0.253228i
\(495\) 30.9789 12.5478i 1.39240 0.563983i
\(496\) −0.501184 1.87044i −0.0225038 0.0839853i
\(497\) 2.37498 + 1.37119i 0.106532 + 0.0615065i
\(498\) 9.01627 7.84466i 0.404029 0.351528i
\(499\) 27.6348 27.6348i 1.23710 1.23710i 0.275921 0.961180i \(-0.411017\pi\)
0.961180 0.275921i \(-0.0889829\pi\)
\(500\) −2.89024 + 10.7865i −0.129255 + 0.482388i
\(501\) −6.32744 0.439675i −0.282689 0.0196432i
\(502\) −14.1845 14.1845i −0.633087 0.633087i
\(503\) −11.4842 + 6.63042i −0.512056 + 0.295636i −0.733679 0.679497i \(-0.762198\pi\)
0.221622 + 0.975133i \(0.428865\pi\)
\(504\) 0.414918 2.97117i 0.0184819 0.132346i
\(505\) −11.6243 + 3.11472i −0.517275 + 0.138603i
\(506\) −5.64114 −0.250779
\(507\) 1.83373 + 22.4419i 0.0814388 + 0.996678i
\(508\) 3.57122 0.158447
\(509\) 29.5365 7.91427i 1.30918 0.350794i 0.464267 0.885695i \(-0.346318\pi\)
0.844914 + 0.534901i \(0.179651\pi\)
\(510\) 9.18874 + 3.15944i 0.406884 + 0.139902i
\(511\) −10.5844 + 6.11091i −0.468226 + 0.270331i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −7.87805 + 2.57118i −0.347825 + 0.113520i
\(514\) −4.73442 + 17.6691i −0.208826 + 0.779351i
\(515\) −16.6338 + 16.6338i −0.732972 + 0.732972i
\(516\) −8.92793 10.2613i −0.393030 0.451730i
\(517\) 51.9143 + 29.9728i 2.28319 + 1.31820i
\(518\) 0.494691 + 1.84621i 0.0217355 + 0.0811179i
\(519\) 18.1133 3.52910i 0.795086 0.154910i
\(520\) −1.65384 7.90058i −0.0725257 0.346463i
\(521\) 37.9878i 1.66428i 0.554568 + 0.832138i \(0.312883\pi\)
−0.554568 + 0.832138i \(0.687117\pi\)
\(522\) −11.4999 15.2331i −0.503338 0.666737i
\(523\) −5.61192 + 9.72013i −0.245392 + 0.425032i −0.962242 0.272196i \(-0.912250\pi\)
0.716850 + 0.697228i \(0.245583\pi\)
\(524\) 10.9819 + 19.0213i 0.479748 + 0.830948i
\(525\) −0.0114897 + 0.0170502i −0.000501450 + 0.000744133i
\(526\) 27.3941 + 7.34022i 1.19444 + 0.320049i
\(527\) −4.68710 1.25591i −0.204173 0.0547081i
\(528\) −4.81695 + 7.14817i −0.209631 + 0.311084i
\(529\) 10.8575 + 18.8058i 0.472067 + 0.817645i
\(530\) −1.80705 + 3.12991i −0.0784934 + 0.135955i
\(531\) −10.0186 13.2710i −0.434771 0.575911i
\(532\) 1.59484i 0.0691450i
\(533\) 5.67383 + 11.2210i 0.245761 + 0.486037i
\(534\) −8.42985 + 1.64243i −0.364795 + 0.0710747i
\(535\) −9.41341 35.1313i −0.406977 1.51886i
\(536\) −10.6690 6.15976i −0.460831 0.266061i
\(537\) −12.8976 14.8239i −0.556573 0.639698i
\(538\) 6.26477 6.26477i 0.270093 0.270093i
\(539\) −1.28804 + 4.80702i −0.0554797 + 0.207053i
\(540\) 11.0587 3.60924i 0.475889 0.155317i
\(541\) 21.3151 + 21.3151i 0.916409 + 0.916409i 0.996766 0.0803571i \(-0.0256061\pi\)
−0.0803571 + 0.996766i \(0.525606\pi\)
\(542\) 18.8224 10.8671i 0.808492 0.466783i
\(543\) 34.5259 + 11.8713i 1.48165 + 0.509446i
\(544\) −2.42049 + 0.648569i −0.103778 + 0.0278072i
\(545\) 26.9260 1.15339
\(546\) −0.777496 + 6.19641i −0.0332738 + 0.265182i
\(547\) −8.55508 −0.365789 −0.182894 0.983133i \(-0.558547\pi\)
−0.182894 + 0.983133i \(0.558547\pi\)
\(548\) −3.85986 + 1.03425i −0.164885 + 0.0441808i
\(549\) 1.30194 9.32298i 0.0555653 0.397895i
\(550\) 0.0511600 0.0295372i 0.00218147 0.00125947i
\(551\) 7.17477 + 7.17477i 0.305655 + 0.305655i
\(552\) −1.95862 0.136098i −0.0833643 0.00579274i
\(553\) −4.54057 + 16.9456i −0.193085 + 0.720602i
\(554\) −4.28103 + 4.28103i −0.181884 + 0.181884i
\(555\) −5.59130 + 4.86474i −0.237338 + 0.206497i
\(556\) −9.73800 5.62224i −0.412983 0.238436i
\(557\) 8.11955 + 30.3026i 0.344037 + 1.28396i 0.893734 + 0.448598i \(0.148076\pi\)
−0.549697 + 0.835364i \(0.685257\pi\)
\(558\) −5.38436 + 2.18091i −0.227938 + 0.0923251i
\(559\) 18.8807 + 21.0998i 0.798568 + 0.892425i
\(560\) 2.23872i 0.0946032i
\(561\) 9.47729 + 19.4098i 0.400132 + 0.819481i
\(562\) 2.80809 4.86375i 0.118452 0.205165i
\(563\) −18.7355 32.4508i −0.789605 1.36764i −0.926209 0.377010i \(-0.876952\pi\)
0.136604 0.990626i \(-0.456381\pi\)
\(564\) 17.3017 + 11.6591i 0.728531 + 0.490937i
\(565\) 1.32271 + 0.354419i 0.0556467 + 0.0149105i
\(566\) 5.59305 + 1.49865i 0.235094 + 0.0629931i
\(567\) −8.99889 0.141316i −0.377918 0.00593473i
\(568\) −1.37119 2.37498i −0.0575340 0.0996519i
\(569\) −15.1741 + 26.2824i −0.636133 + 1.10181i 0.350141 + 0.936697i \(0.386134\pi\)
−0.986274 + 0.165117i \(0.947200\pi\)
\(570\) −5.55705 + 2.71337i −0.232759 + 0.113650i
\(571\) 23.8669i 0.998797i −0.866372 0.499398i \(-0.833554\pi\)
0.866372 0.499398i \(-0.166446\pi\)
\(572\) 9.81907 15.0183i 0.410556 0.627948i
\(573\) −4.72064 24.2290i −0.197208 1.01218i
\(574\) 0.902600 + 3.36855i 0.0376738 + 0.140601i
\(575\) 0.0116529 + 0.00672779i 0.000485959 + 0.000280568i
\(576\) −1.84491 + 2.36565i −0.0768714 + 0.0985687i
\(577\) 4.27637 4.27637i 0.178027 0.178027i −0.612468 0.790495i \(-0.709823\pi\)
0.790495 + 0.612468i \(0.209823\pi\)
\(578\) 2.77469 10.3553i 0.115412 0.430723i
\(579\) −2.95871 + 42.5794i −0.122960 + 1.76954i
\(580\) −10.0714 10.0714i −0.418194 0.418194i
\(581\) −5.97561 + 3.45002i −0.247910 + 0.143131i
\(582\) −9.25970 + 26.9304i −0.383827 + 1.11630i
\(583\) −7.76028 + 2.07936i −0.321398 + 0.0861183i
\(584\) 12.2218 0.505742
\(585\) −22.9136 + 7.83312i −0.947359 + 0.323859i
\(586\) −26.6844 −1.10232
\(587\) 7.17007 1.92122i 0.295941 0.0792970i −0.107794 0.994173i \(-0.534379\pi\)
0.403734 + 0.914876i \(0.367712\pi\)
\(588\) −0.563184 + 1.63793i −0.0232253 + 0.0675472i
\(589\) 2.67453 1.54414i 0.110202 0.0636252i
\(590\) −8.77414 8.77414i −0.361226 0.361226i
\(591\) −1.59398 + 22.9392i −0.0655675 + 0.943594i
\(592\) 0.494691 1.84621i 0.0203317 0.0758788i
\(593\) 20.8143 20.8143i 0.854743 0.854743i −0.135970 0.990713i \(-0.543415\pi\)
0.990713 + 0.135970i \(0.0434151\pi\)
\(594\) 23.0561 + 11.7095i 0.946001 + 0.480448i
\(595\) −4.85837 2.80498i −0.199174 0.114993i
\(596\) 1.48620 + 5.54659i 0.0608773 + 0.227197i
\(597\) −4.17032 21.4044i −0.170680 0.876024i
\(598\) 4.08074 + 0.226499i 0.166874 + 0.00926222i
\(599\) 26.0281i 1.06348i −0.846908 0.531739i \(-0.821539\pi\)
0.846908 0.531739i \(-0.178461\pi\)
\(600\) 0.0184755 0.00902110i 0.000754258 0.000368285i
\(601\) 1.89419 3.28084i 0.0772657 0.133828i −0.824804 0.565419i \(-0.808714\pi\)
0.902069 + 0.431591i \(0.142048\pi\)
\(602\) 3.92644 + 6.80079i 0.160030 + 0.277180i
\(603\) −14.4111 + 34.0332i −0.586864 + 1.38594i
\(604\) 6.51414 + 1.74546i 0.265057 + 0.0710217i
\(605\) 29.7692 + 7.97662i 1.21029 + 0.324296i
\(606\) −7.72122 5.20312i −0.313653 0.211362i
\(607\) −2.64461 4.58060i −0.107341 0.185921i 0.807351 0.590071i \(-0.200900\pi\)
−0.914692 + 0.404151i \(0.867567\pi\)
\(608\) 0.797419 1.38117i 0.0323396 0.0560138i
\(609\) 4.83502 + 9.90226i 0.195925 + 0.401260i
\(610\) 7.02469i 0.284421i
\(611\) −36.3508 23.7664i −1.47060 0.961484i
\(612\) 2.82226 + 6.96776i 0.114083 + 0.281655i
\(613\) 8.05524 + 30.0626i 0.325348 + 1.21422i 0.913961 + 0.405801i \(0.133007\pi\)
−0.588613 + 0.808415i \(0.700326\pi\)
\(614\) 14.2488 + 8.22657i 0.575036 + 0.331997i
\(615\) −10.2017 + 8.87608i −0.411374 + 0.357918i
\(616\) 3.51898 3.51898i 0.141784 0.141784i
\(617\) −5.64026 + 21.0497i −0.227068 + 0.847430i 0.754497 + 0.656303i \(0.227881\pi\)
−0.981565 + 0.191127i \(0.938786\pi\)
\(618\) −18.1560 1.26161i −0.730343 0.0507493i
\(619\) −3.03970 3.03970i −0.122176 0.122176i 0.643375 0.765551i \(-0.277534\pi\)
−0.765551 + 0.643375i \(0.777534\pi\)
\(620\) −3.75432 + 2.16756i −0.150777 + 0.0870512i
\(621\) 0.315983 + 5.88154i 0.0126800 + 0.236018i
\(622\) −31.8424 + 8.53214i −1.27676 + 0.342108i
\(623\) 4.95849 0.198658
\(624\) 3.77154 4.97750i 0.150982 0.199259i
\(625\) 25.0592 1.00237
\(626\) 0.453414 0.121492i 0.0181221 0.00485579i
\(627\) −13.0000 4.46991i −0.519171 0.178511i
\(628\) −3.22362 + 1.86116i −0.128637 + 0.0742684i
\(629\) −3.38675 3.38675i −0.135038 0.135038i
\(630\) −6.66538 + 0.824330i −0.265555 + 0.0328421i
\(631\) −8.03819 + 29.9989i −0.319995 + 1.19424i 0.599253 + 0.800560i \(0.295464\pi\)
−0.919248 + 0.393679i \(0.871202\pi\)
\(632\) 12.4051 12.4051i 0.493447 0.493447i
\(633\) 30.8148 + 35.4171i 1.22478 + 1.40770i
\(634\) −9.88922 5.70954i −0.392751 0.226755i
\(635\) −2.06925 7.72253i −0.0821155 0.306459i
\(636\) −2.74455 + 0.534734i −0.108829 + 0.0212036i
\(637\) 1.12476 3.42563i 0.0445646 0.135728i
\(638\) 31.6620i 1.25351i
\(639\) −6.56617 + 4.95698i −0.259754 + 0.196095i
\(640\) −1.11936 + 1.93879i −0.0442466 + 0.0766374i
\(641\) −17.8622 30.9382i −0.705513 1.22198i −0.966506 0.256643i \(-0.917383\pi\)
0.260993 0.965341i \(-0.415950\pi\)
\(642\) 15.7250 23.3353i 0.620617 0.920972i
\(643\) 3.75070 + 1.00500i 0.147913 + 0.0396332i 0.332016 0.943274i \(-0.392271\pi\)
−0.184103 + 0.982907i \(0.558938\pi\)
\(644\) 1.09491 + 0.293381i 0.0431455 + 0.0115608i
\(645\) −17.0165 + 25.2518i −0.670022 + 0.994287i
\(646\) −1.99823 3.46104i −0.0786195 0.136173i
\(647\) −3.36667 + 5.83124i −0.132357 + 0.229250i −0.924585 0.380976i \(-0.875588\pi\)
0.792228 + 0.610226i \(0.208921\pi\)
\(648\) 7.72261 + 4.62183i 0.303373 + 0.181563i
\(649\) 27.5837i 1.08275i
\(650\) −0.0381945 + 0.0193127i −0.00149811 + 0.000757508i
\(651\) 3.29208 0.641412i 0.129027 0.0251389i
\(652\) 0.0370686 + 0.138342i 0.00145172 + 0.00541788i
\(653\) 28.4810 + 16.4435i 1.11455 + 0.643486i 0.940004 0.341164i \(-0.110821\pi\)
0.174546 + 0.984649i \(0.444154\pi\)
\(654\) 13.6740 + 15.7162i 0.534695 + 0.614552i
\(655\) 34.7691 34.7691i 1.35854 1.35854i
\(656\) 0.902600 3.36855i 0.0352406 0.131520i
\(657\) −4.50025 36.3882i −0.175571 1.41964i
\(658\) −8.51745 8.51745i −0.332045 0.332045i
\(659\) 34.6566 20.0090i 1.35003 0.779441i 0.361778 0.932264i \(-0.382170\pi\)
0.988254 + 0.152823i \(0.0488366\pi\)
\(660\) 18.2485 + 6.27454i 0.710323 + 0.244236i
\(661\) −41.2876 + 11.0630i −1.60590 + 0.430300i −0.946818 0.321769i \(-0.895722\pi\)
−0.659084 + 0.752069i \(0.729056\pi\)
\(662\) −15.4442 −0.600256
\(663\) −6.07644 14.4213i −0.235989 0.560078i
\(664\) 6.90004 0.267774
\(665\) 3.44874 0.924086i 0.133736 0.0358345i
\(666\) −5.67891 0.793050i −0.220053 0.0307301i
\(667\) 6.24557 3.60588i 0.241829 0.139620i
\(668\) −2.58940 2.58940i −0.100187 0.100187i
\(669\) −14.4171 1.00180i −0.557398 0.0387319i
\(670\) −7.13822 + 26.6402i −0.275773 + 1.02920i
\(671\) 11.0419 11.0419i 0.426268 0.426268i
\(672\) 1.30670 1.13690i 0.0504070 0.0438569i
\(673\) 22.2799 + 12.8633i 0.858828 + 0.495845i 0.863620 0.504144i \(-0.168192\pi\)
−0.00479162 + 0.999989i \(0.501525\pi\)
\(674\) −5.68674 21.2232i −0.219045 0.817487i
\(675\) −0.0336616 0.0516856i −0.00129564 0.00198938i
\(676\) −7.70601 + 10.4698i −0.296385 + 0.402686i
\(677\) 29.2077i 1.12254i 0.827631 + 0.561272i \(0.189688\pi\)
−0.827631 + 0.561272i \(0.810312\pi\)
\(678\) 0.464850 + 0.952025i 0.0178524 + 0.0365623i
\(679\) 8.22085 14.2389i 0.315487 0.546440i
\(680\) 2.80498 + 4.85837i 0.107566 + 0.186310i
\(681\) 18.9905 + 12.7972i 0.727719 + 0.490389i
\(682\) −9.30843 2.49419i −0.356438 0.0955073i
\(683\) −25.1156 6.72971i −0.961022 0.257505i −0.255989 0.966680i \(-0.582401\pi\)
−0.705033 + 0.709174i \(0.749068\pi\)
\(684\) −4.40580 1.86560i −0.168460 0.0713331i
\(685\) 4.47299 + 7.74744i 0.170904 + 0.296015i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) −35.5535 + 17.3599i −1.35645 + 0.662320i
\(688\) 7.85288i 0.299388i
\(689\) 5.69719 1.19260i 0.217045 0.0454345i
\(690\) 0.840565 + 4.31425i 0.0319998 + 0.164241i
\(691\) −3.58545 13.3811i −0.136397 0.509041i −0.999988 0.00484814i \(-0.998457\pi\)
0.863591 0.504193i \(-0.168210\pi\)
\(692\) 9.22695 + 5.32718i 0.350756 + 0.202509i
\(693\) −11.7729 9.18139i −0.447214 0.348772i
\(694\) −19.1203 + 19.1203i −0.725798 + 0.725798i
\(695\) −6.51531 + 24.3155i −0.247140 + 0.922339i
\(696\) 0.763879 10.9931i 0.0289548 0.416693i
\(697\) −6.17937 6.17937i −0.234060 0.234060i
\(698\) 9.11693 5.26366i 0.345081 0.199233i
\(699\) −1.47856 + 4.30017i −0.0559244 + 0.162647i
\(700\) −0.0114660 + 0.00307230i −0.000433373 + 0.000116122i
\(701\) 20.7025 0.781924 0.390962 0.920407i \(-0.372142\pi\)
0.390962 + 0.920407i \(0.372142\pi\)
\(702\) −16.2083 9.39627i −0.611744 0.354639i
\(703\) 3.04827 0.114968
\(704\) −4.80702 + 1.28804i −0.181171 + 0.0485447i
\(705\) 15.1871 44.1693i 0.571979 1.66351i
\(706\) 21.8772 12.6308i 0.823361 0.475368i
\(707\) 3.80109 + 3.80109i 0.142955 + 0.142955i
\(708\) 0.665484 9.57711i 0.0250104 0.359930i
\(709\) −4.80853 + 17.9457i −0.180588 + 0.673964i 0.814944 + 0.579540i \(0.196768\pi\)
−0.995532 + 0.0944240i \(0.969899\pi\)
\(710\) −4.34124 + 4.34124i −0.162924 + 0.162924i
\(711\) −41.5015 32.3661i −1.55643 1.21382i
\(712\) −4.29418 2.47925i −0.160931 0.0929137i
\(713\) −0.568109 2.12021i −0.0212759 0.0794026i
\(714\) −0.830035 4.26020i −0.0310633 0.159434i
\(715\) −38.1656 12.5312i −1.42731 0.468639i
\(716\) 11.3445i 0.423966i
\(717\) −42.3008 + 20.6544i −1.57975 + 0.771352i
\(718\) 7.11662 12.3263i 0.265590 0.460015i
\(719\) 1.20412 + 2.08560i 0.0449063 + 0.0777799i 0.887605 0.460606i \(-0.152368\pi\)
−0.842699 + 0.538386i \(0.819034\pi\)
\(720\) 6.18455 + 2.61880i 0.230485 + 0.0975969i
\(721\) 10.1496 + 2.71958i 0.377992 + 0.101283i
\(722\) −15.8958 4.25925i −0.591579 0.158513i
\(723\) −14.7048 9.90915i −0.546878 0.368525i
\(724\) 10.5395 + 18.2549i 0.391696 + 0.678437i
\(725\) −0.0377610 + 0.0654040i −0.00140241 + 0.00242904i
\(726\) 10.4620 + 21.4265i 0.388281 + 0.795211i
\(727\) 19.3374i 0.717186i −0.933494 0.358593i \(-0.883257\pi\)
0.933494 0.358593i \(-0.116743\pi\)
\(728\) −2.68688 + 2.40430i −0.0995825 + 0.0891093i
\(729\) 10.9171 24.6945i 0.404336 0.914610i
\(730\) −7.08161 26.4289i −0.262102 0.978178i
\(731\) −17.0420 9.83918i −0.630320 0.363915i
\(732\) 4.10018 3.56738i 0.151547 0.131854i
\(733\) 29.1374 29.1374i 1.07622 1.07622i 0.0793711 0.996845i \(-0.474709\pi\)
0.996845 0.0793711i \(-0.0252912\pi\)
\(734\) 5.69055 21.2374i 0.210042 0.783887i
\(735\) 3.86825 + 0.268793i 0.142683 + 0.00991458i
\(736\) −0.801531 0.801531i −0.0295448 0.0295448i
\(737\) −53.0953 + 30.6546i −1.95579 + 1.12918i
\(738\) −10.3616 1.44698i −0.381416 0.0532640i
\(739\) −32.0414 + 8.58548i −1.17866 + 0.315822i −0.794396 0.607400i \(-0.792212\pi\)
−0.384267 + 0.923222i \(0.625546\pi\)
\(740\) −4.27895 −0.157298
\(741\) 9.22461 + 3.75545i 0.338874 + 0.137960i
\(742\) 1.61436 0.0592652
\(743\) −3.74703 + 1.00401i −0.137465 + 0.0368337i −0.326896 0.945060i \(-0.606003\pi\)
0.189430 + 0.981894i \(0.439336\pi\)
\(744\) −3.17173 1.09056i −0.116281 0.0399820i
\(745\) 11.1330 6.42765i 0.407882 0.235491i
\(746\) 5.84183 + 5.84183i 0.213885 + 0.213885i
\(747\) −2.54070 20.5436i −0.0929592 0.751652i
\(748\) −3.22766 + 12.0458i −0.118015 + 0.440438i
\(749\) −11.4878 + 11.4878i −0.419754 + 0.419754i
\(750\) 12.6958 + 14.5919i 0.463585 + 0.532822i
\(751\) −9.20781 5.31613i −0.335998 0.193988i 0.322503 0.946568i \(-0.395476\pi\)
−0.658501 + 0.752580i \(0.728809\pi\)
\(752\) 3.11760 + 11.6351i 0.113687 + 0.424287i
\(753\) −34.1036 + 6.64456i −1.24280 + 0.242141i
\(754\) −1.27127 + 22.9039i −0.0462968 + 0.834112i
\(755\) 15.0978i 0.549465i
\(756\) −3.86606 3.47183i −0.140607 0.126269i
\(757\) 14.6540 25.3815i 0.532609 0.922506i −0.466666 0.884434i \(-0.654545\pi\)
0.999275 0.0380725i \(-0.0121218\pi\)
\(758\) 13.7939 + 23.8917i 0.501015 + 0.867784i
\(759\) −5.46019 + 8.10271i −0.198192 + 0.294110i
\(760\) −3.44874 0.924086i −0.125099 0.0335201i
\(761\) 2.05863 + 0.551608i 0.0746252 + 0.0199958i 0.295938 0.955207i \(-0.404368\pi\)
−0.221313 + 0.975203i \(0.571034\pi\)
\(762\) 3.45666 5.12955i 0.125221 0.185824i
\(763\) −6.01371 10.4161i −0.217711 0.377087i
\(764\) 7.12581 12.3423i 0.257803 0.446528i
\(765\) 13.4321 10.1402i 0.485638 0.366621i
\(766\) 32.5553i 1.17627i
\(767\) −1.10752 + 19.9537i −0.0399901 + 0.720486i
\(768\) −1.70008 + 0.331235i −0.0613465 + 0.0119524i
\(769\) −8.89775 33.2069i −0.320861 1.19747i −0.918408 0.395636i \(-0.870524\pi\)
0.597547 0.801834i \(-0.296142\pi\)
\(770\) −9.64856 5.57060i −0.347710 0.200751i
\(771\) 20.7966 + 23.9027i 0.748972 + 0.860833i
\(772\) −17.4249 + 17.4249i −0.627135 + 0.627135i
\(773\) 9.33711 34.8466i 0.335833 1.25334i −0.567131 0.823628i \(-0.691947\pi\)
0.902964