Properties

Label 648.2.bb.b.155.23
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.23
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.23

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.10347 + 0.884504i) q^{2} +(-1.15307 + 1.29246i) q^{3} +(0.435304 - 1.95205i) q^{4} +(-3.47249 + 2.28389i) q^{5} +(0.129194 - 2.44608i) q^{6} +(-0.348278 - 0.328583i) q^{7} +(1.24625 + 2.53907i) q^{8} +(-0.340880 - 2.98057i) q^{9} +O(q^{10})\) \(q+(-1.10347 + 0.884504i) q^{2} +(-1.15307 + 1.29246i) q^{3} +(0.435304 - 1.95205i) q^{4} +(-3.47249 + 2.28389i) q^{5} +(0.129194 - 2.44608i) q^{6} +(-0.348278 - 0.328583i) q^{7} +(1.24625 + 2.53907i) q^{8} +(-0.340880 - 2.98057i) q^{9} +(1.81169 - 5.59165i) q^{10} +(-0.145259 - 0.289234i) q^{11} +(2.02101 + 2.81346i) q^{12} +(-3.51725 + 1.51719i) q^{13} +(0.674949 + 0.0545293i) q^{14} +(1.05218 - 7.12152i) q^{15} +(-3.62102 - 1.69947i) q^{16} +(-0.326220 - 0.388774i) q^{17} +(3.01248 + 2.98747i) q^{18} +(-5.23137 - 4.38964i) q^{19} +(2.94669 + 7.77268i) q^{20} +(0.826267 - 0.0712556i) q^{21} +(0.416118 + 0.190680i) q^{22} +(3.08248 + 3.26724i) q^{23} +(-4.71864 - 1.31698i) q^{24} +(4.86163 - 11.2705i) q^{25} +(2.53922 - 4.78520i) q^{26} +(4.24531 + 2.99622i) q^{27} +(-0.793019 + 0.536823i) q^{28} +(-1.89851 + 0.221904i) q^{29} +(5.13796 + 8.78906i) q^{30} +(1.59267 + 6.72001i) q^{31} +(5.49889 - 1.32749i) q^{32} +(0.541315 + 0.145765i) q^{33} +(0.703848 + 0.140458i) q^{34} +(1.95984 + 0.345573i) q^{35} +(-5.96662 - 0.632038i) q^{36} +(9.87455 - 1.74115i) q^{37} +(9.65533 + 0.216679i) q^{38} +(2.09471 - 6.29530i) q^{39} +(-10.1266 - 5.97057i) q^{40} +(5.36046 + 3.99071i) q^{41} +(-0.848737 + 0.809465i) q^{42} +(-0.0963426 + 1.65414i) q^{43} +(-0.627832 + 0.157648i) q^{44} +(7.99101 + 9.57148i) q^{45} +(-6.29133 - 0.878841i) q^{46} +(-4.08981 - 0.969302i) q^{47} +(6.37177 - 2.72040i) q^{48} +(-0.393683 - 6.75928i) q^{49} +(4.60416 + 16.7369i) q^{50} +(0.878626 + 0.0266570i) q^{51} +(1.43057 + 7.52629i) q^{52} +(-4.33597 - 7.51012i) q^{53} +(-7.33475 + 0.448748i) q^{54} +(1.16499 + 0.672607i) q^{55} +(0.400252 - 1.29380i) q^{56} +(11.7055 - 1.69977i) q^{57} +(1.89868 - 1.92410i) q^{58} +(-3.18737 + 6.34658i) q^{59} +(-13.4436 - 5.15394i) q^{60} +(3.63496 - 1.08824i) q^{61} +(-7.70135 - 6.00662i) q^{62} +(-0.860645 + 1.15007i) q^{63} +(-4.89370 + 6.32864i) q^{64} +(8.74851 - 13.3015i) q^{65} +(-0.726256 + 0.317947i) q^{66} +(11.9854 + 1.40089i) q^{67} +(-0.900913 + 0.467564i) q^{68} +(-7.77707 + 0.216628i) q^{69} +(-2.46829 + 1.35216i) q^{70} +(-8.64241 - 3.14558i) q^{71} +(7.14304 - 4.58006i) q^{72} +(4.71671 - 1.71674i) q^{73} +(-9.35624 + 10.6554i) q^{74} +(8.96087 + 19.2791i) q^{75} +(-10.8461 + 8.30109i) q^{76} +(-0.0444470 + 0.148463i) q^{77} +(3.25677 + 8.79948i) q^{78} +(-3.75551 + 2.79587i) q^{79} +(16.4554 - 2.36862i) q^{80} +(-8.76760 + 2.03203i) q^{81} +(-9.44492 + 0.337706i) q^{82} +(8.99326 - 6.69523i) q^{83} +(0.220582 - 1.64393i) q^{84} +(2.02072 + 0.604963i) q^{85} +(-1.35678 - 1.91051i) q^{86} +(1.90230 - 2.70961i) q^{87} +(0.553355 - 0.729280i) q^{88} +(-1.50926 - 4.14666i) q^{89} +(-17.2839 - 3.49378i) q^{90} +(1.72350 + 0.627304i) q^{91} +(7.71964 - 4.59493i) q^{92} +(-10.5218 - 5.69016i) q^{93} +(5.37034 - 2.54785i) q^{94} +(28.1914 + 3.29510i) q^{95} +(-4.62486 + 8.63775i) q^{96} +(-0.226429 - 0.148925i) q^{97} +(6.41303 + 7.11047i) q^{98} +(-0.812566 + 0.531548i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.10347 + 0.884504i −0.780273 + 0.625439i
\(3\) −1.15307 + 1.29246i −0.665723 + 0.746199i
\(4\) 0.435304 1.95205i 0.217652 0.976026i
\(5\) −3.47249 + 2.28389i −1.55295 + 1.02139i −0.573615 + 0.819125i \(0.694459\pi\)
−0.979331 + 0.202263i \(0.935170\pi\)
\(6\) 0.129194 2.44608i 0.0527432 0.998608i
\(7\) −0.348278 0.328583i −0.131637 0.124193i 0.617608 0.786486i \(-0.288102\pi\)
−0.749245 + 0.662293i \(0.769583\pi\)
\(8\) 1.24625 + 2.53907i 0.440617 + 0.897695i
\(9\) −0.340880 2.98057i −0.113627 0.993524i
\(10\) 1.81169 5.59165i 0.572905 1.76824i
\(11\) −0.145259 0.289234i −0.0437972 0.0872073i 0.870670 0.491868i \(-0.163686\pi\)
−0.914467 + 0.404661i \(0.867390\pi\)
\(12\) 2.02101 + 2.81346i 0.583414 + 0.812175i
\(13\) −3.51725 + 1.51719i −0.975509 + 0.420793i −0.823332 0.567560i \(-0.807888\pi\)
−0.152177 + 0.988353i \(0.548628\pi\)
\(14\) 0.674949 + 0.0545293i 0.180388 + 0.0145736i
\(15\) 1.05218 7.12152i 0.271672 1.83877i
\(16\) −3.62102 1.69947i −0.905255 0.424868i
\(17\) −0.326220 0.388774i −0.0791200 0.0942916i 0.725032 0.688715i \(-0.241825\pi\)
−0.804152 + 0.594423i \(0.797380\pi\)
\(18\) 3.01248 + 2.98747i 0.710048 + 0.704153i
\(19\) −5.23137 4.38964i −1.20016 1.00705i −0.999625 0.0273662i \(-0.991288\pi\)
−0.200534 0.979687i \(-0.564268\pi\)
\(20\) 2.94669 + 7.77268i 0.658901 + 1.73802i
\(21\) 0.826267 0.0712556i 0.180306 0.0155492i
\(22\) 0.416118 + 0.190680i 0.0887166 + 0.0406531i
\(23\) 3.08248 + 3.26724i 0.642742 + 0.681267i 0.964054 0.265707i \(-0.0856052\pi\)
−0.321312 + 0.946973i \(0.604124\pi\)
\(24\) −4.71864 1.31698i −0.963188 0.268828i
\(25\) 4.86163 11.2705i 0.972327 2.25411i
\(26\) 2.53922 4.78520i 0.497982 0.938455i
\(27\) 4.24531 + 2.99622i 0.817010 + 0.576623i
\(28\) −0.793019 + 0.536823i −0.149866 + 0.101450i
\(29\) −1.89851 + 0.221904i −0.352544 + 0.0412065i −0.290522 0.956868i \(-0.593829\pi\)
−0.0620221 + 0.998075i \(0.519755\pi\)
\(30\) 5.13796 + 8.78906i 0.938060 + 1.60466i
\(31\) 1.59267 + 6.72001i 0.286052 + 1.20695i 0.906331 + 0.422568i \(0.138871\pi\)
−0.620279 + 0.784381i \(0.712981\pi\)
\(32\) 5.49889 1.32749i 0.972075 0.234669i
\(33\) 0.541315 + 0.145765i 0.0942308 + 0.0253745i
\(34\) 0.703848 + 0.140458i 0.120709 + 0.0240884i
\(35\) 1.95984 + 0.345573i 0.331274 + 0.0584125i
\(36\) −5.96662 0.632038i −0.994436 0.105340i
\(37\) 9.87455 1.74115i 1.62337 0.286243i 0.713347 0.700811i \(-0.247178\pi\)
0.910018 + 0.414568i \(0.136067\pi\)
\(38\) 9.65533 + 0.216679i 1.56630 + 0.0351499i
\(39\) 2.09471 6.29530i 0.335423 1.00806i
\(40\) −10.1266 5.97057i −1.60115 0.944031i
\(41\) 5.36046 + 3.99071i 0.837163 + 0.623244i 0.927983 0.372623i \(-0.121541\pi\)
−0.0908203 + 0.995867i \(0.528949\pi\)
\(42\) −0.848737 + 0.809465i −0.130963 + 0.124903i
\(43\) −0.0963426 + 1.65414i −0.0146921 + 0.252254i 0.982963 + 0.183806i \(0.0588417\pi\)
−0.997655 + 0.0684479i \(0.978195\pi\)
\(44\) −0.627832 + 0.157648i −0.0946492 + 0.0237663i
\(45\) 7.99101 + 9.57148i 1.19123 + 1.42683i
\(46\) −6.29133 0.878841i −0.927605 0.129578i
\(47\) −4.08981 0.969302i −0.596560 0.141387i −0.0787665 0.996893i \(-0.525098\pi\)
−0.517793 + 0.855506i \(0.673246\pi\)
\(48\) 6.37177 2.72040i 0.919685 0.392657i
\(49\) −0.393683 6.75928i −0.0562405 0.965611i
\(50\) 4.60416 + 16.7369i 0.651126 + 2.36695i
\(51\) 0.878626 + 0.0266570i 0.123032 + 0.00373273i
\(52\) 1.43057 + 7.52629i 0.198384 + 1.04371i
\(53\) −4.33597 7.51012i −0.595591 1.03159i −0.993463 0.114153i \(-0.963585\pi\)
0.397872 0.917441i \(-0.369749\pi\)
\(54\) −7.33475 + 0.448748i −0.998134 + 0.0610669i
\(55\) 1.16499 + 0.672607i 0.157087 + 0.0906943i
\(56\) 0.400252 1.29380i 0.0534859 0.172891i
\(57\) 11.7055 1.69977i 1.55044 0.225140i
\(58\) 1.89868 1.92410i 0.249309 0.252647i
\(59\) −3.18737 + 6.34658i −0.414961 + 0.826254i 0.584924 + 0.811088i \(0.301124\pi\)
−0.999885 + 0.0151666i \(0.995172\pi\)
\(60\) −13.4436 5.15394i −1.73556 0.665370i
\(61\) 3.63496 1.08824i 0.465409 0.139334i −0.0455087 0.998964i \(-0.514491\pi\)
0.510918 + 0.859630i \(0.329306\pi\)
\(62\) −7.70135 6.00662i −0.978072 0.762842i
\(63\) −0.860645 + 1.15007i −0.108431 + 0.144896i
\(64\) −4.89370 + 6.32864i −0.611713 + 0.791080i
\(65\) 8.74851 13.3015i 1.08512 1.64984i
\(66\) −0.726256 + 0.317947i −0.0893959 + 0.0391366i
\(67\) 11.9854 + 1.40089i 1.46424 + 0.171146i 0.810575 0.585635i \(-0.199155\pi\)
0.653669 + 0.756780i \(0.273229\pi\)
\(68\) −0.900913 + 0.467564i −0.109252 + 0.0567005i
\(69\) −7.77707 + 0.216628i −0.936249 + 0.0260789i
\(70\) −2.46829 + 1.35216i −0.295018 + 0.161614i
\(71\) −8.64241 3.14558i −1.02567 0.373312i −0.226236 0.974072i \(-0.572642\pi\)
−0.799429 + 0.600761i \(0.794864\pi\)
\(72\) 7.14304 4.58006i 0.841815 0.539766i
\(73\) 4.71671 1.71674i 0.552050 0.200930i −0.0509072 0.998703i \(-0.516211\pi\)
0.602957 + 0.797774i \(0.293989\pi\)
\(74\) −9.35624 + 10.6554i −1.08764 + 1.23866i
\(75\) 8.96087 + 19.2791i 1.03471 + 2.22616i
\(76\) −10.8461 + 8.30109i −1.24413 + 0.952200i
\(77\) −0.0444470 + 0.148463i −0.00506521 + 0.0169190i
\(78\) 3.25677 + 8.79948i 0.368756 + 0.996345i
\(79\) −3.75551 + 2.79587i −0.422528 + 0.314560i −0.787338 0.616521i \(-0.788541\pi\)
0.364810 + 0.931082i \(0.381134\pi\)
\(80\) 16.4554 2.36862i 1.83977 0.264820i
\(81\) −8.76760 + 2.03203i −0.974178 + 0.225782i
\(82\) −9.44492 + 0.337706i −1.04302 + 0.0372934i
\(83\) 8.99326 6.69523i 0.987138 0.734897i 0.0228462 0.999739i \(-0.492727\pi\)
0.964292 + 0.264842i \(0.0853198\pi\)
\(84\) 0.220582 1.64393i 0.0240675 0.179368i
\(85\) 2.02072 + 0.604963i 0.219177 + 0.0656174i
\(86\) −1.35678 1.91051i −0.146305 0.206016i
\(87\) 1.90230 2.70961i 0.203948 0.290500i
\(88\) 0.553355 0.729280i 0.0589878 0.0777415i
\(89\) −1.50926 4.14666i −0.159981 0.439545i 0.833641 0.552307i \(-0.186252\pi\)
−0.993622 + 0.112762i \(0.964030\pi\)
\(90\) −17.2839 3.49378i −1.82188 0.368276i
\(91\) 1.72350 + 0.627304i 0.180672 + 0.0657593i
\(92\) 7.71964 4.59493i 0.804829 0.479054i
\(93\) −10.5218 5.69016i −1.09106 0.590042i
\(94\) 5.37034 2.54785i 0.553908 0.262791i
\(95\) 28.1914 + 3.29510i 2.89237 + 0.338070i
\(96\) −4.62486 + 8.63775i −0.472023 + 0.881586i
\(97\) −0.226429 0.148925i −0.0229904 0.0151210i 0.537962 0.842969i \(-0.319194\pi\)
−0.560952 + 0.827848i \(0.689565\pi\)
\(98\) 6.41303 + 7.11047i 0.647814 + 0.718266i
\(99\) −0.812566 + 0.531548i −0.0816660 + 0.0534226i
\(100\) −19.8844 14.3963i −1.98844 1.43963i
\(101\) −4.45493 14.8805i −0.443282 1.48067i −0.829631 0.558312i \(-0.811449\pi\)
0.386349 0.922353i \(-0.373736\pi\)
\(102\) −0.993118 + 0.747734i −0.0983334 + 0.0740367i
\(103\) −3.19775 + 6.36724i −0.315084 + 0.627383i −0.994308 0.106548i \(-0.966020\pi\)
0.679224 + 0.733931i \(0.262316\pi\)
\(104\) −8.23563 7.03971i −0.807570 0.690301i
\(105\) −2.70646 + 2.13454i −0.264124 + 0.208310i
\(106\) 11.4274 + 4.45203i 1.10992 + 0.432419i
\(107\) 2.16919 + 1.25238i 0.209703 + 0.121072i 0.601173 0.799119i \(-0.294700\pi\)
−0.391470 + 0.920191i \(0.628033\pi\)
\(108\) 7.69678 6.98280i 0.740623 0.671921i
\(109\) 14.5016 8.37253i 1.38901 0.801943i 0.395803 0.918336i \(-0.370466\pi\)
0.993203 + 0.116393i \(0.0371331\pi\)
\(110\) −1.88046 + 0.288235i −0.179295 + 0.0274821i
\(111\) −9.13564 + 14.7701i −0.867117 + 1.40191i
\(112\) 0.702704 + 1.78170i 0.0663993 + 0.168354i
\(113\) −13.3851 + 0.779596i −1.25917 + 0.0733382i −0.674709 0.738084i \(-0.735731\pi\)
−0.584460 + 0.811422i \(0.698694\pi\)
\(114\) −11.4133 + 12.2292i −1.06895 + 1.14537i
\(115\) −18.1659 4.30541i −1.69398 0.401481i
\(116\) −0.393260 + 3.80259i −0.0365133 + 0.353061i
\(117\) 5.72106 + 9.96622i 0.528912 + 0.921377i
\(118\) −2.09640 9.82252i −0.192989 0.904237i
\(119\) −0.0141294 + 0.242592i −0.00129524 + 0.0222384i
\(120\) 19.3933 6.20366i 1.77036 0.566315i
\(121\) 6.50619 8.73933i 0.591472 0.794484i
\(122\) −3.04853 + 4.41598i −0.276001 + 0.399804i
\(123\) −11.3388 + 2.32660i −1.02238 + 0.209782i
\(124\) 13.8111 0.183733i 1.24027 0.0164997i
\(125\) 5.25010 + 29.7748i 0.469583 + 2.66314i
\(126\) −0.0675481 2.03032i −0.00601767 0.180875i
\(127\) −10.7954 1.90352i −0.957938 0.168910i −0.327242 0.944941i \(-0.606119\pi\)
−0.630696 + 0.776030i \(0.717230\pi\)
\(128\) −0.197639 11.3120i −0.0174690 0.999847i
\(129\) −2.02681 2.03185i −0.178451 0.178894i
\(130\) 2.11146 + 22.4159i 0.185187 + 1.96600i
\(131\) −0.703664 2.96899i −0.0614794 0.259402i 0.933622 0.358259i \(-0.116629\pi\)
−0.995102 + 0.0988570i \(0.968481\pi\)
\(132\) 0.520178 0.993223i 0.0452757 0.0864489i
\(133\) 0.379608 + 3.24776i 0.0329162 + 0.281616i
\(134\) −14.4646 + 9.05526i −1.24955 + 0.782255i
\(135\) −21.5849 0.708514i −1.85773 0.0609791i
\(136\) 0.580570 1.31281i 0.0497834 0.112572i
\(137\) −5.43887 2.34610i −0.464674 0.200441i 0.150854 0.988556i \(-0.451798\pi\)
−0.615527 + 0.788115i \(0.711057\pi\)
\(138\) 8.39017 7.11789i 0.714219 0.605915i
\(139\) −8.89261 9.42562i −0.754261 0.799470i 0.230557 0.973059i \(-0.425945\pi\)
−0.984818 + 0.173588i \(0.944464\pi\)
\(140\) 1.52770 3.67529i 0.129115 0.310618i
\(141\) 5.96859 4.16822i 0.502646 0.351028i
\(142\) 12.3189 4.17319i 1.03378 0.350206i
\(143\) 0.949734 + 0.796922i 0.0794208 + 0.0666419i
\(144\) −3.83106 + 11.3720i −0.319255 + 0.947669i
\(145\) 6.08575 5.10655i 0.505394 0.424076i
\(146\) −3.68630 + 6.06633i −0.305080 + 0.502053i
\(147\) 9.19001 + 7.28507i 0.757979 + 0.600863i
\(148\) 0.899613 20.0336i 0.0739478 1.64675i
\(149\) −6.25038 14.4900i −0.512051 1.18707i −0.956624 0.291326i \(-0.905904\pi\)
0.444572 0.895743i \(-0.353356\pi\)
\(150\) −26.9405 13.3480i −2.19969 1.08986i
\(151\) −8.19298 16.3136i −0.666735 1.32758i −0.931667 0.363312i \(-0.881646\pi\)
0.264932 0.964267i \(-0.414650\pi\)
\(152\) 4.62597 18.7534i 0.375216 1.52110i
\(153\) −1.04757 + 1.10485i −0.0846908 + 0.0893217i
\(154\) −0.0822705 0.203139i −0.00662954 0.0163694i
\(155\) −20.8783 19.6977i −1.67699 1.58216i
\(156\) −11.3769 6.82936i −0.910883 0.546786i
\(157\) −11.1688 16.9814i −0.891371 1.35526i −0.934413 0.356191i \(-0.884075\pi\)
0.0430421 0.999073i \(-0.486295\pi\)
\(158\) 1.67114 6.40694i 0.132949 0.509709i
\(159\) 14.7061 + 3.05561i 1.16627 + 0.242326i
\(160\) −16.0630 + 17.1686i −1.26989 + 1.35729i
\(161\) 2.15076i 0.169504i
\(162\) 7.87747 9.99728i 0.618912 0.785460i
\(163\) 2.90493 0.227532 0.113766 0.993508i \(-0.463709\pi\)
0.113766 + 0.993508i \(0.463709\pi\)
\(164\) 10.1235 8.72672i 0.790513 0.681442i
\(165\) −2.21262 + 0.730137i −0.172252 + 0.0568411i
\(166\) −4.00185 + 15.3426i −0.310604 + 1.19082i
\(167\) −14.7242 + 9.68423i −1.13939 + 0.749388i −0.971645 0.236443i \(-0.924019\pi\)
−0.167744 + 0.985831i \(0.553648\pi\)
\(168\) 1.21066 + 2.00914i 0.0934045 + 0.155009i
\(169\) 1.14801 1.21682i 0.0883084 0.0936015i
\(170\) −2.76490 + 1.11977i −0.212058 + 0.0858826i
\(171\) −11.3004 + 17.0888i −0.864161 + 1.30681i
\(172\) 3.18703 + 0.908118i 0.243009 + 0.0692434i
\(173\) 14.9548 7.51057i 1.13699 0.571018i 0.222222 0.974996i \(-0.428669\pi\)
0.914769 + 0.403978i \(0.132373\pi\)
\(174\) 0.297519 + 4.67257i 0.0225548 + 0.354227i
\(175\) −5.39651 + 2.32783i −0.407938 + 0.175967i
\(176\) 0.0344399 + 1.29419i 0.00259600 + 0.0975529i
\(177\) −4.52742 11.4376i −0.340302 0.859700i
\(178\) 5.33316 + 3.24078i 0.399738 + 0.242906i
\(179\) 2.08708 + 2.48728i 0.155996 + 0.185908i 0.838382 0.545084i \(-0.183502\pi\)
−0.682386 + 0.730992i \(0.739058\pi\)
\(180\) 22.1625 11.4324i 1.65190 0.852119i
\(181\) −3.11845 + 3.71642i −0.231792 + 0.276239i −0.869386 0.494133i \(-0.835485\pi\)
0.637594 + 0.770373i \(0.279930\pi\)
\(182\) −2.45669 + 0.832234i −0.182102 + 0.0616893i
\(183\) −2.78485 + 5.95283i −0.205862 + 0.440046i
\(184\) −4.45418 + 11.8984i −0.328367 + 0.877164i
\(185\) −30.3127 + 28.5985i −2.22863 + 2.10261i
\(186\) 16.6434 3.02762i 1.22036 0.221996i
\(187\) −0.0650603 + 0.150827i −0.00475768 + 0.0110295i
\(188\) −3.67244 + 7.56158i −0.267840 + 0.551485i
\(189\) −0.494040 2.43846i −0.0359361 0.177372i
\(190\) −34.0229 + 21.2993i −2.46828 + 1.54522i
\(191\) 15.7817 1.84462i 1.14192 0.133472i 0.475967 0.879463i \(-0.342098\pi\)
0.665956 + 0.745991i \(0.268024\pi\)
\(192\) −2.53672 13.6222i −0.183072 0.983100i
\(193\) 8.11043 1.92221i 0.583801 0.138363i 0.0719061 0.997411i \(-0.477092\pi\)
0.511895 + 0.859048i \(0.328944\pi\)
\(194\) 0.381583 0.0359431i 0.0273960 0.00258056i
\(195\) 7.10394 + 26.6445i 0.508723 + 1.90805i
\(196\) −13.3658 2.17385i −0.954703 0.155275i
\(197\) −1.21459 + 6.88830i −0.0865362 + 0.490771i 0.910478 + 0.413557i \(0.135714\pi\)
−0.997015 + 0.0772145i \(0.975397\pi\)
\(198\) 0.426488 1.30527i 0.0303092 0.0927613i
\(199\) −12.3558 + 2.17865i −0.875876 + 0.154441i −0.593472 0.804855i \(-0.702243\pi\)
−0.282404 + 0.959295i \(0.591132\pi\)
\(200\) 34.6754 1.70194i 2.45192 0.120345i
\(201\) −15.6305 + 13.8752i −1.10249 + 0.978683i
\(202\) 18.0778 + 12.4798i 1.27195 + 0.878077i
\(203\) 0.734123 + 0.546534i 0.0515253 + 0.0383592i
\(204\) 0.434505 1.70352i 0.0304215 0.119270i
\(205\) −27.7285 1.61500i −1.93664 0.112797i
\(206\) −2.10322 9.85450i −0.146539 0.686596i
\(207\) 8.68749 10.3013i 0.603822 0.715990i
\(208\) 15.3144 + 0.483679i 1.06187 + 0.0335371i
\(209\) −0.509731 + 2.15072i −0.0352588 + 0.148769i
\(210\) 1.09850 4.74929i 0.0758037 0.327732i
\(211\) 1.60925 + 27.6298i 0.110786 + 1.90212i 0.358886 + 0.933381i \(0.383157\pi\)
−0.248101 + 0.968734i \(0.579806\pi\)
\(212\) −16.5476 + 5.19486i −1.13649 + 0.356784i
\(213\) 14.0308 7.54287i 0.961374 0.516829i
\(214\) −3.50138 + 0.536688i −0.239349 + 0.0366872i
\(215\) −3.44333 5.96402i −0.234833 0.406743i
\(216\) −2.31687 + 14.5132i −0.157643 + 0.987496i
\(217\) 1.65339 2.86376i 0.112239 0.194405i
\(218\) −8.59663 + 22.0656i −0.582237 + 1.49447i
\(219\) −3.21987 + 8.07566i −0.217578 + 0.545703i
\(220\) 1.82009 1.98133i 0.122710 0.133581i
\(221\) 1.73724 + 0.872476i 0.116860 + 0.0586891i
\(222\) −2.98326 24.3789i −0.200223 1.63620i
\(223\) 23.3287 6.98415i 1.56220 0.467693i 0.615055 0.788484i \(-0.289134\pi\)
0.947150 + 0.320791i \(0.103949\pi\)
\(224\) −2.35133 1.34451i −0.157105 0.0898337i
\(225\) −35.2498 10.6485i −2.34999 0.709903i
\(226\) 14.0806 12.6995i 0.936627 0.844757i
\(227\) 10.1225 15.3906i 0.671856 1.02151i −0.325261 0.945624i \(-0.605452\pi\)
0.997117 0.0758830i \(-0.0241776\pi\)
\(228\) 1.77742 23.5897i 0.117713 1.56227i
\(229\) −1.00534 + 8.60121i −0.0664346 + 0.568384i 0.918496 + 0.395431i \(0.129405\pi\)
−0.984930 + 0.172953i \(0.944669\pi\)
\(230\) 23.8538 11.3170i 1.57287 0.746218i
\(231\) −0.140632 0.228634i −0.00925290 0.0150430i
\(232\) −2.92945 4.54389i −0.192328 0.298321i
\(233\) 2.68538 7.37802i 0.175925 0.483350i −0.820121 0.572190i \(-0.806094\pi\)
0.996046 + 0.0888402i \(0.0283160\pi\)
\(234\) −15.1282 5.93715i −0.988961 0.388124i
\(235\) 16.4156 5.97479i 1.07084 0.389752i
\(236\) 11.0014 + 8.98461i 0.716129 + 0.584848i
\(237\) 0.716808 8.07766i 0.0465617 0.524700i
\(238\) −0.198982 0.280191i −0.0128981 0.0181621i
\(239\) 3.09726 10.3456i 0.200345 0.669198i −0.797484 0.603340i \(-0.793836\pi\)
0.997829 0.0658584i \(-0.0209786\pi\)
\(240\) −15.9128 + 23.9990i −1.02717 + 1.54913i
\(241\) 1.35799 + 1.82409i 0.0874756 + 0.117500i 0.843707 0.536805i \(-0.180369\pi\)
−0.756231 + 0.654305i \(0.772961\pi\)
\(242\) 0.550573 + 15.3984i 0.0353922 + 0.989844i
\(243\) 7.48331 13.6748i 0.480054 0.877239i
\(244\) −0.541981 7.56935i −0.0346968 0.484578i
\(245\) 16.8045 + 22.5724i 1.07360 + 1.44210i
\(246\) 10.4541 12.5965i 0.666532 0.803125i
\(247\) 25.0600 + 7.50246i 1.59453 + 0.477370i
\(248\) −15.0777 + 12.4187i −0.957433 + 0.788590i
\(249\) −1.71653 + 19.3434i −0.108781 + 1.22584i
\(250\) −32.1293 28.2119i −2.03203 1.78428i
\(251\) −1.88415 5.17666i −0.118926 0.326748i 0.865918 0.500185i \(-0.166735\pi\)
−0.984845 + 0.173437i \(0.944513\pi\)
\(252\) 1.87036 + 2.18066i 0.117822 + 0.137368i
\(253\) 0.497239 1.36615i 0.0312612 0.0858894i
\(254\) 13.5961 7.44810i 0.853096 0.467335i
\(255\) −3.11191 + 1.91412i −0.194875 + 0.119867i
\(256\) 10.2236 + 12.3077i 0.638974 + 0.769228i
\(257\) −0.641791 + 5.49087i −0.0400338 + 0.342511i 0.958346 + 0.285610i \(0.0921962\pi\)
−0.998380 + 0.0569014i \(0.981878\pi\)
\(258\) 4.03371 + 0.449366i 0.251128 + 0.0279763i
\(259\) −4.01120 2.63821i −0.249244 0.163930i
\(260\) −22.1569 22.8677i −1.37411 1.41820i
\(261\) 1.30856 + 5.58300i 0.0809981 + 0.345579i
\(262\) 3.40256 + 2.65381i 0.210211 + 0.163953i
\(263\) 0.283996 + 0.948612i 0.0175119 + 0.0584939i 0.966299 0.257423i \(-0.0828732\pi\)
−0.948787 + 0.315917i \(0.897688\pi\)
\(264\) 0.304508 + 1.55609i 0.0187412 + 0.0957709i
\(265\) 32.2089 + 16.1759i 1.97858 + 0.993680i
\(266\) −3.29154 3.24805i −0.201817 0.199151i
\(267\) 7.09964 + 2.83072i 0.434491 + 0.173237i
\(268\) 7.95188 22.7862i 0.485738 1.39189i
\(269\) 5.29049 9.16339i 0.322567 0.558702i −0.658450 0.752624i \(-0.728788\pi\)
0.981017 + 0.193922i \(0.0621210\pi\)
\(270\) 24.4450 18.3101i 1.48767 1.11432i
\(271\) 20.7712 11.9922i 1.26176 0.728476i 0.288344 0.957527i \(-0.406895\pi\)
0.973415 + 0.229051i \(0.0735621\pi\)
\(272\) 0.520539 + 1.96216i 0.0315623 + 0.118974i
\(273\) −2.79807 + 1.50423i −0.169347 + 0.0910400i
\(274\) 8.07677 2.22185i 0.487936 0.134227i
\(275\) −3.96601 + 0.230994i −0.239160 + 0.0139295i
\(276\) −2.96252 + 15.2755i −0.178323 + 0.919480i
\(277\) −2.89611 + 12.2197i −0.174011 + 0.734208i 0.814133 + 0.580678i \(0.197212\pi\)
−0.988144 + 0.153530i \(0.950936\pi\)
\(278\) 18.1498 + 2.53536i 1.08855 + 0.152061i
\(279\) 19.4866 7.03779i 1.16663 0.421341i
\(280\) 1.56503 + 5.40684i 0.0935283 + 0.323120i
\(281\) 3.89692 + 0.226969i 0.232471 + 0.0135399i 0.173985 0.984748i \(-0.444336\pi\)
0.0584859 + 0.998288i \(0.481373\pi\)
\(282\) −2.89937 + 9.87877i −0.172655 + 0.588272i
\(283\) −6.84786 + 9.19827i −0.407063 + 0.546781i −0.957627 0.288013i \(-0.907005\pi\)
0.550563 + 0.834793i \(0.314413\pi\)
\(284\) −9.90241 + 15.5012i −0.587600 + 0.919824i
\(285\) −36.7653 + 32.6366i −2.17779 + 1.93323i
\(286\) −1.75289 0.0393371i −0.103650 0.00232605i
\(287\) −0.555648 3.15123i −0.0327988 0.186011i
\(288\) −5.83113 15.9373i −0.343603 0.939115i
\(289\) 2.90729 16.4881i 0.171017 0.969887i
\(290\) −2.19869 + 11.0178i −0.129112 + 0.646989i
\(291\) 0.453566 0.120929i 0.0265885 0.00708900i
\(292\) −1.29797 9.95458i −0.0759580 0.582548i
\(293\) −14.7535 + 3.49664i −0.861908 + 0.204276i −0.637718 0.770270i \(-0.720122\pi\)
−0.224190 + 0.974546i \(0.571973\pi\)
\(294\) −16.5846 + 0.0897223i −0.967234 + 0.00523271i
\(295\) −3.42679 29.3181i −0.199516 1.70696i
\(296\) 16.7271 + 22.9022i 0.972242 + 1.33116i
\(297\) 0.249940 1.66311i 0.0145030 0.0965037i
\(298\) 19.7136 + 10.4608i 1.14198 + 0.605981i
\(299\) −15.7989 6.81497i −0.913673 0.394120i
\(300\) 41.5345 9.09983i 2.39800 0.525379i
\(301\) 0.577076 0.544443i 0.0332621 0.0313812i
\(302\) 23.4702 + 10.7548i 1.35056 + 0.618872i
\(303\) 24.3692 + 11.4004i 1.39997 + 0.654936i
\(304\) 11.4828 + 24.7856i 0.658586 + 1.42155i
\(305\) −10.1370 + 12.0808i −0.580441 + 0.691742i
\(306\) 0.178719 2.14575i 0.0102167 0.122664i
\(307\) −11.0439 + 9.26690i −0.630307 + 0.528890i −0.901024 0.433769i \(-0.857183\pi\)
0.270718 + 0.962659i \(0.412739\pi\)
\(308\) 0.270460 + 0.151390i 0.0154109 + 0.00862623i
\(309\) −4.54216 11.4748i −0.258394 0.652778i
\(310\) 40.4614 + 3.26889i 2.29805 + 0.185660i
\(311\) −4.55703 10.5644i −0.258405 0.599051i 0.738787 0.673939i \(-0.235399\pi\)
−0.997192 + 0.0748887i \(0.976140\pi\)
\(312\) 18.5947 2.52693i 1.05272 0.143059i
\(313\) −8.86390 + 4.45162i −0.501017 + 0.251620i −0.681313 0.731992i \(-0.738591\pi\)
0.180296 + 0.983612i \(0.442295\pi\)
\(314\) 27.3447 + 8.85963i 1.54315 + 0.499978i
\(315\) 0.361934 5.95925i 0.0203927 0.335766i
\(316\) 3.82291 + 8.54801i 0.215055 + 0.480863i
\(317\) 15.8386 16.7880i 0.889586 0.942906i −0.109107 0.994030i \(-0.534799\pi\)
0.998692 + 0.0511244i \(0.0162805\pi\)
\(318\) −18.9305 + 9.63586i −1.06157 + 0.540352i
\(319\) 0.339957 + 0.516880i 0.0190339 + 0.0289397i
\(320\) 2.53941 33.1529i 0.141957 1.85330i
\(321\) −4.11986 + 1.35950i −0.229948 + 0.0758799i
\(322\) 1.90236 + 2.37331i 0.106014 + 0.132259i
\(323\) 3.46581i 0.192843i
\(324\) 0.150068 + 17.9994i 0.00833711 + 0.999965i
\(325\) 47.0173i 2.60805i
\(326\) −3.20551 + 2.56943i −0.177537 + 0.142307i
\(327\) −5.90023 + 28.3968i −0.326283 + 1.57035i
\(328\) −3.45219 + 18.5840i −0.190615 + 1.02613i
\(329\) 1.10589 + 1.68143i 0.0609699 + 0.0927002i
\(330\) 1.79576 2.76276i 0.0988534 0.152085i
\(331\) −15.6197 + 16.5559i −0.858534 + 0.909993i −0.996762 0.0804078i \(-0.974378\pi\)
0.138228 + 0.990400i \(0.455859\pi\)
\(332\) −9.15465 20.4698i −0.502426 1.12342i
\(333\) −8.55565 28.8383i −0.468847 1.58033i
\(334\) 7.68196 23.7099i 0.420338 1.29735i
\(335\) −44.8185 + 22.5087i −2.44870 + 1.22978i
\(336\) −3.11303 1.14620i −0.169829 0.0625303i
\(337\) −1.33547 3.09597i −0.0727478 0.168648i 0.877962 0.478730i \(-0.158903\pi\)
−0.950710 + 0.310082i \(0.899644\pi\)
\(338\) −0.190515 + 2.35815i −0.0103627 + 0.128266i
\(339\) 14.4264 18.1986i 0.783532 0.988414i
\(340\) 2.06055 3.68120i 0.111749 0.199641i
\(341\) 1.71231 1.43679i 0.0927265 0.0778068i
\(342\) −2.64549 28.8523i −0.143051 1.56015i
\(343\) −4.23831 + 5.05103i −0.228847 + 0.272730i
\(344\) −4.32003 + 1.81686i −0.232920 + 0.0979583i
\(345\) 26.5111 18.5142i 1.42731 0.996773i
\(346\) −9.85905 + 21.5153i −0.530026 + 1.15667i
\(347\) −11.2151 + 10.5809i −0.602058 + 0.568013i −0.925743 0.378152i \(-0.876560\pi\)
0.323685 + 0.946165i \(0.395078\pi\)
\(348\) −4.46122 4.89290i −0.239146 0.262287i
\(349\) 16.9570 + 7.31455i 0.907689 + 0.391539i 0.798160 0.602445i \(-0.205807\pi\)
0.109528 + 0.993984i \(0.465066\pi\)
\(350\) 3.89593 7.34193i 0.208246 0.392443i
\(351\) −19.4776 4.09750i −1.03964 0.218708i
\(352\) −1.18272 1.39764i −0.0630390 0.0744942i
\(353\) 2.52157 + 21.5734i 0.134210 + 1.14824i 0.877605 + 0.479384i \(0.159140\pi\)
−0.743395 + 0.668852i \(0.766786\pi\)
\(354\) 15.1125 + 8.61651i 0.803218 + 0.457962i
\(355\) 37.1949 8.81535i 1.97410 0.467870i
\(356\) −8.75148 + 1.14110i −0.463828 + 0.0604781i
\(357\) −0.297247 0.297986i −0.0157320 0.0157711i
\(358\) −4.50305 0.898619i −0.237993 0.0474935i
\(359\) 3.54800 20.1217i 0.187256 1.06198i −0.735765 0.677237i \(-0.763177\pi\)
0.923022 0.384748i \(-0.125711\pi\)
\(360\) −14.3438 + 32.2182i −0.755983 + 1.69805i
\(361\) 4.79898 + 27.2164i 0.252578 + 1.43244i
\(362\) 0.153931 6.85925i 0.00809042 0.360514i
\(363\) 3.79313 + 18.4860i 0.199088 + 0.970262i
\(364\) 1.97478 3.09130i 0.103507 0.162028i
\(365\) −12.4579 + 16.7339i −0.652076 + 0.875890i
\(366\) −2.19230 9.03200i −0.114593 0.472110i
\(367\) 21.6011 + 1.25812i 1.12757 + 0.0656734i 0.611769 0.791036i \(-0.290458\pi\)
0.515799 + 0.856710i \(0.327495\pi\)
\(368\) −5.60915 17.0693i −0.292397 0.889801i
\(369\) 10.0673 17.3376i 0.524084 0.902558i
\(370\) 8.15368 58.3694i 0.423890 3.03448i
\(371\) −0.957577 + 4.04034i −0.0497149 + 0.209764i
\(372\) −15.6876 + 18.0621i −0.813367 + 0.936476i
\(373\) −5.95133 + 0.346625i −0.308148 + 0.0179476i −0.211522 0.977373i \(-0.567842\pi\)
−0.0966259 + 0.995321i \(0.530805\pi\)
\(374\) −0.0616147 0.223979i −0.00318602 0.0115817i
\(375\) −44.5363 27.5468i −2.29984 1.42251i
\(376\) −2.63581 11.5923i −0.135932 0.597826i
\(377\) 6.34085 3.66089i 0.326571 0.188546i
\(378\) 2.70198 + 2.25379i 0.138975 + 0.115922i
\(379\) 5.23560 9.06833i 0.268935 0.465809i −0.699652 0.714484i \(-0.746662\pi\)
0.968587 + 0.248675i \(0.0799950\pi\)
\(380\) 18.7040 53.5967i 0.959496 2.74945i
\(381\) 14.9080 11.7577i 0.763761 0.602365i
\(382\) −15.7831 + 15.9945i −0.807533 + 0.818348i
\(383\) −14.7684 7.41699i −0.754632 0.378991i 0.0295157 0.999564i \(-0.490603\pi\)
−0.784148 + 0.620574i \(0.786900\pi\)
\(384\) 14.8481 + 12.7880i 0.757715 + 0.652586i
\(385\) −0.184733 0.617050i −0.00941485 0.0314478i
\(386\) −7.24943 + 9.29481i −0.368986 + 0.473093i
\(387\) 4.96312 0.276707i 0.252289 0.0140658i
\(388\) −0.389274 + 0.377174i −0.0197624 + 0.0191481i
\(389\) −8.26494 5.43594i −0.419049 0.275613i 0.322424 0.946595i \(-0.395502\pi\)
−0.741473 + 0.670982i \(0.765873\pi\)
\(390\) −31.4062 23.1180i −1.59031 1.17063i
\(391\) 0.264651 2.26423i 0.0133840 0.114507i
\(392\) 16.6716 9.42336i 0.842044 0.475952i
\(393\) 4.64866 + 2.51399i 0.234494 + 0.126814i
\(394\) −4.75246 8.67537i −0.239426 0.437059i
\(395\) 6.65550 18.2858i 0.334875 0.920061i
\(396\) 0.683897 + 1.81756i 0.0343671 + 0.0913357i
\(397\) −11.6128 31.9058i −0.582829 1.60131i −0.783324 0.621614i \(-0.786477\pi\)
0.200495 0.979695i \(-0.435745\pi\)
\(398\) 11.7072 13.3328i 0.586829 0.668313i
\(399\) −4.63529 3.25425i −0.232055 0.162916i
\(400\) −36.7580 + 32.5486i −1.83790 + 1.62743i
\(401\) −11.6180 3.47821i −0.580177 0.173694i −0.0167504 0.999860i \(-0.505332\pi\)
−0.563427 + 0.826166i \(0.690517\pi\)
\(402\) 4.97512 29.1362i 0.248136 1.45318i
\(403\) −15.7974 21.2195i −0.786923 1.05702i
\(404\) −30.9868 + 2.21872i −1.54165 + 0.110385i
\(405\) 25.8045 27.0805i 1.28223 1.34564i
\(406\) −1.29350 + 0.0462493i −0.0641952 + 0.00229532i
\(407\) −1.93796 2.60314i −0.0960613 0.129033i
\(408\) 1.02731 + 2.26411i 0.0508593 + 0.112090i
\(409\) 9.90368 33.0806i 0.489705 1.63573i −0.253987 0.967208i \(-0.581742\pi\)
0.743692 0.668522i \(-0.233073\pi\)
\(410\) 32.0261 22.7439i 1.58166 1.12324i
\(411\) 9.30359 4.32428i 0.458912 0.213301i
\(412\) 11.0372 + 9.01386i 0.543764 + 0.444081i
\(413\) 3.19547 1.16306i 0.157239 0.0572303i
\(414\) −0.474861 + 19.0513i −0.0233382 + 0.936321i
\(415\) −15.9378 + 43.7888i −0.782357 + 2.14951i
\(416\) −17.3269 + 13.0120i −0.849521 + 0.637964i
\(417\) 22.4360 0.624947i 1.09869 0.0306038i
\(418\) −1.33985 2.82412i −0.0655342 0.138132i
\(419\) 2.84711 24.3586i 0.139090 1.18999i −0.725754 0.687954i \(-0.758509\pi\)
0.864844 0.502040i \(-0.167417\pi\)
\(420\) 2.98860 + 6.21234i 0.145829 + 0.303131i
\(421\) −14.8370 + 22.5586i −0.723113 + 1.09944i 0.267608 + 0.963528i \(0.413767\pi\)
−0.990721 + 0.135911i \(0.956604\pi\)
\(422\) −26.2145 29.0654i −1.27610 1.41488i
\(423\) −1.49494 + 12.5204i −0.0726864 + 0.608761i
\(424\) 13.6650 20.3688i 0.663629 0.989197i
\(425\) −5.96765 + 1.78660i −0.289474 + 0.0866628i
\(426\) −8.81089 + 20.7336i −0.426889 + 1.00455i
\(427\) −1.62355 0.815379i −0.0785692 0.0394590i
\(428\) 3.38897 3.68920i 0.163812 0.178324i
\(429\) −2.12509 + 0.308586i −0.102600 + 0.0148987i
\(430\) 9.07482 + 3.53549i 0.437627 + 0.170497i
\(431\) −7.58139 + 13.1313i −0.365183 + 0.632515i −0.988805 0.149211i \(-0.952327\pi\)
0.623623 + 0.781725i \(0.285660\pi\)
\(432\) −10.2804 18.0642i −0.494614 0.869113i
\(433\) 18.2503 + 31.6104i 0.877053 + 1.51910i 0.854560 + 0.519353i \(0.173827\pi\)
0.0224925 + 0.999747i \(0.492840\pi\)
\(434\) 0.708534 + 4.62251i 0.0340107 + 0.221888i
\(435\) −0.417281 + 13.7538i −0.0200071 + 0.659442i
\(436\) −10.0310 31.9526i −0.480398 1.53025i
\(437\) −1.78360 30.6232i −0.0853209 1.46490i
\(438\) −3.58992 11.7593i −0.171533 0.561879i
\(439\) −7.62975 + 32.1924i −0.364148 + 1.53646i 0.415118 + 0.909768i \(0.363740\pi\)
−0.779266 + 0.626693i \(0.784408\pi\)
\(440\) −0.255921 + 3.79622i −0.0122005 + 0.180978i
\(441\) −20.0123 + 3.47751i −0.952967 + 0.165595i
\(442\) −2.68871 + 0.573845i −0.127889 + 0.0272950i
\(443\) 18.8771 + 1.09947i 0.896880 + 0.0522373i 0.500388 0.865801i \(-0.333191\pi\)
0.396491 + 0.918038i \(0.370228\pi\)
\(444\) 24.8552 + 24.2627i 1.17957 + 1.15146i
\(445\) 14.7114 + 10.9522i 0.697388 + 0.519186i
\(446\) −19.5651 + 28.3412i −0.926432 + 1.34199i
\(447\) 25.9348 + 8.62960i 1.22667 + 0.408166i
\(448\) 3.78385 0.596136i 0.178770 0.0281648i
\(449\) −27.8077 + 4.90324i −1.31232 + 0.231398i −0.785651 0.618669i \(-0.787672\pi\)
−0.526673 + 0.850068i \(0.676561\pi\)
\(450\) 48.3159 19.4283i 2.27763 0.915858i
\(451\) 0.375596 2.13011i 0.0176861 0.100303i
\(452\) −4.30479 + 26.4679i −0.202480 + 1.24494i
\(453\) 30.5316 + 8.22155i 1.43450 + 0.386282i
\(454\) 2.44308 + 25.9365i 0.114660 + 1.21726i
\(455\) −7.41755 + 1.75799i −0.347740 + 0.0824159i
\(456\) 18.9039 + 27.6028i 0.885255 + 1.29262i
\(457\) 21.9239 2.56253i 1.02556 0.119870i 0.413353 0.910571i \(-0.364358\pi\)
0.612203 + 0.790701i \(0.290284\pi\)
\(458\) −6.49845 10.3804i −0.303653 0.485046i
\(459\) −0.220053 2.62789i −0.0102712 0.122660i
\(460\) −16.3121 + 33.5867i −0.760555 + 1.56599i
\(461\) −0.745204 + 1.72758i −0.0347076 + 0.0804613i −0.934688 0.355469i \(-0.884321\pi\)
0.899981 + 0.435930i \(0.143580\pi\)
\(462\) 0.357411 + 0.127902i 0.0166283 + 0.00595052i
\(463\) 20.3805 19.2280i 0.947161 0.893600i −0.0472818 0.998882i \(-0.515056\pi\)
0.994442 + 0.105282i \(0.0335744\pi\)
\(464\) 7.25166 + 2.42295i 0.336650 + 0.112482i
\(465\) 49.5325 4.27158i 2.29701 0.198090i
\(466\) 3.56265 + 10.5167i 0.165037 + 0.487176i
\(467\) −7.84791 + 9.35277i −0.363158 + 0.432795i −0.916423 0.400210i \(-0.868937\pi\)
0.553265 + 0.833005i \(0.313382\pi\)
\(468\) 21.9450 6.82947i 1.01441 0.315692i
\(469\) −3.71393 4.42609i −0.171493 0.204378i
\(470\) −12.8294 + 21.1127i −0.591778 + 0.973856i
\(471\) 34.8261 + 5.14544i 1.60470 + 0.237089i
\(472\) −20.0867 0.183499i −0.924563 0.00844620i
\(473\) 0.492427 0.212412i 0.0226418 0.00976673i
\(474\) 6.35374 + 9.54749i 0.291837 + 0.438531i
\(475\) −74.9066 + 37.6195i −3.43695 + 1.72610i
\(476\) 0.467402 + 0.133183i 0.0214233 + 0.00610441i
\(477\) −20.9064 + 15.4837i −0.957238 + 0.708950i
\(478\) 5.73295 + 14.1556i 0.262219 + 0.647461i
\(479\) −8.72091 + 9.24363i −0.398469 + 0.422352i −0.895278 0.445508i \(-0.853023\pi\)
0.496810 + 0.867860i \(0.334505\pi\)
\(480\) −3.66791 40.5572i −0.167416 1.85117i
\(481\) −32.0896 + 21.1056i −1.46316 + 0.962334i
\(482\) −3.11192 0.811691i −0.141744 0.0369715i
\(483\) 2.77976 + 2.47997i 0.126484 + 0.112842i
\(484\) −14.2275 16.5047i −0.646703 0.750213i
\(485\) 1.12640 0.0511472
\(486\) 3.83780 + 21.7088i 0.174086 + 0.984730i
\(487\) 13.3975i 0.607099i −0.952816 0.303549i \(-0.901828\pi\)
0.952816 0.303549i \(-0.0981718\pi\)
\(488\) 7.29318 + 7.87318i 0.330147 + 0.356402i
\(489\) −3.34958 + 3.75450i −0.151473 + 0.169784i
\(490\) −38.5088 10.0444i −1.73965 0.453758i
\(491\) −0.480865 0.731119i −0.0217011 0.0329949i 0.824474 0.565899i \(-0.191471\pi\)
−0.846175 + 0.532904i \(0.821101\pi\)
\(492\) −0.394171 + 23.1467i −0.0177706 + 1.04353i
\(493\) 0.705603 + 0.665702i 0.0317787 + 0.0299817i
\(494\) −34.2889 + 13.8869i −1.54273 + 0.624800i
\(495\) 1.60763 3.70161i 0.0722576 0.166375i
\(496\) 5.65337 27.0400i 0.253844 1.21413i
\(497\) 1.97638 + 3.93529i 0.0886526 + 0.176522i
\(498\) −15.2152 22.8632i −0.681809 1.02452i
\(499\) −6.24324 14.4735i −0.279486 0.647921i 0.719425 0.694570i \(-0.244405\pi\)
−0.998911 + 0.0466484i \(0.985146\pi\)
\(500\) 60.4073 + 2.71261i 2.70150 + 0.121312i
\(501\) 4.46148 30.1969i 0.199324 1.34910i
\(502\) 6.65788 + 4.04576i 0.297156 + 0.180571i
\(503\) −1.76819 + 1.48369i −0.0788397 + 0.0661544i −0.681356 0.731952i \(-0.738609\pi\)
0.602516 + 0.798107i \(0.294165\pi\)
\(504\) −3.99270 0.751949i −0.177849 0.0334945i
\(505\) 49.4552 + 41.4978i 2.20073 + 1.84663i
\(506\) 0.659679 + 1.94732i 0.0293263 + 0.0865691i
\(507\) 0.248954 + 2.88682i 0.0110564 + 0.128208i
\(508\) −8.41506 + 20.2446i −0.373358 + 0.898209i
\(509\) 24.4903 + 25.9582i 1.08551 + 1.15058i 0.987858 + 0.155356i \(0.0496526\pi\)
0.0976546 + 0.995220i \(0.468866\pi\)
\(510\) 1.74085 4.86468i 0.0770862 0.215412i
\(511\) −2.20682 0.951930i −0.0976240 0.0421109i
\(512\) −22.1676 4.53835i −0.979680 0.200569i
\(513\) −9.05646 34.3097i −0.399853 1.51481i
\(514\) −4.14850 6.62670i −0.182983 0.292291i
\(515\) −3.43795 29.4135i −0.151494 1.29611i
\(516\) −4.84855 + 3.07197i −0.213446 + 0.135236i
\(517\) 0.313725 + 1.32371i 0.0137976 + 0.0582167i
\(518\) 6.75976 0.636734i 0.297007 0.0279765i
\(519\) −7.53676 + 27.9885i −0.330827 + 1.22856i
\(520\) 44.6761 + 5.63604i 1.95918 + 0.247157i
\(521\) 21.4659 + 3.78502i 0.940439 + 0.165825i 0.622795 0.782385i \(-0.285997\pi\)
0.317644 + 0.948210i \(0.397108\pi\)
\(522\) −6.38215 5.00325i −0.279339 0.218987i
\(523\) −4.07735 23.1238i −0.178290 1.01113i −0.934277 0.356548i \(-0.883954\pi\)
0.755987 0.654587i \(-0.227157\pi\)
\(524\) −6.10193 + 0.0811757i −0.266564 + 0.00354618i
\(525\) 3.21392 9.65888i 0.140267 0.421548i
\(526\) −1.15243 0.795572i −0.0502485 0.0346886i
\(527\) 2.09300 2.81139i 0.0911727 0.122466i
\(528\) −1.71239 1.44777i −0.0745221 0.0630060i
\(529\) 0.164168 2.81866i 0.00713774 0.122550i
\(530\) −49.8494 + 10.6392i −2.16532 + 0.462139i
\(531\) 20.0029 + 7.33677i 0.868054 + 0.318389i
\(532\) 6.50504 + 0.672746i 0.282029 + 0.0291672i
\(533\) −24.9087 5.90348i −1.07892 0.255708i
\(534\) −10.3380 + 3.15605i −0.447371 + 0.136576i
\(535\) −10.3928 + 0.605311i −0.449320 + 0.0261699i
\(536\) 11.3798 + 32.1775i 0.491535 + 1.38985i
\(537\) −5.62124 0.170545i −0.242574 0.00735957i
\(538\) 2.26715 + 14.7910i 0.0977439 + 0.637686i
\(539\) −1.89783 + 1.09571i −0.0817452 + 0.0471956i
\(540\) −10.7790 + 41.8264i −0.463856 + 1.79992i
\(541\) −27.2560 15.7363i −1.17183 0.676555i −0.217718 0.976012i \(-0.569861\pi\)
−0.954110 + 0.299457i \(0.903195\pi\)
\(542\) −12.3132 + 31.6053i −0.528898 + 1.35756i
\(543\) −1.20753 8.31573i −0.0518202 0.356862i
\(544\) −2.30994 1.70477i −0.0990379 0.0730915i
\(545\) −31.2349 + 62.1938i −1.33796 + 2.66409i
\(546\) 1.75710 4.13478i 0.0751970 0.176952i
\(547\) 3.22739 + 10.7802i 0.137993 + 0.460930i 0.998851 0.0479152i \(-0.0152577\pi\)
−0.860858 + 0.508845i \(0.830073\pi\)
\(548\) −6.94727 + 9.59569i −0.296772 + 0.409907i
\(549\) −4.48265 10.4633i −0.191315 0.446563i
\(550\) 4.17207 3.76285i 0.177898 0.160449i
\(551\) 10.9059 + 7.17291i 0.464606 + 0.305576i
\(552\) −10.2422 19.4765i −0.435938 0.828975i
\(553\) 2.22664 + 0.260257i 0.0946864 + 0.0110672i
\(554\) −7.61256 16.0457i −0.323427 0.681716i
\(555\) −2.00982 72.1538i −0.0853122 3.06276i
\(556\) −22.2703 + 13.2558i −0.944471 + 0.562173i
\(557\) 23.1985 + 8.44356i 0.982952 + 0.357765i 0.782987 0.622038i \(-0.213695\pi\)
0.199965 + 0.979803i \(0.435917\pi\)
\(558\) −15.2779 + 25.0020i −0.646766 + 1.05842i
\(559\) −2.17078 5.96418i −0.0918144 0.252258i
\(560\) −6.50934 4.58203i −0.275070 0.193626i
\(561\) −0.119918 0.258001i −0.00506294 0.0108928i
\(562\) −4.50090 + 3.19638i −0.189859 + 0.134831i
\(563\) 3.98309 + 1.19246i 0.167867 + 0.0502561i 0.369634 0.929177i \(-0.379483\pi\)
−0.201767 + 0.979434i \(0.564668\pi\)
\(564\) −5.53844 13.4655i −0.233210 0.566998i
\(565\) 44.6993 33.2774i 1.88051 1.39999i
\(566\) −0.579486 16.2070i −0.0243576 0.681231i
\(567\) 3.72126 + 2.17317i 0.156278 + 0.0912648i
\(568\) −2.78380 25.8638i −0.116806 1.08522i
\(569\) 27.9312 20.7940i 1.17094 0.871730i 0.177277 0.984161i \(-0.443271\pi\)
0.993659 + 0.112431i \(0.0358638\pi\)
\(570\) 11.7022 68.5327i 0.490153 2.87052i
\(571\) −0.235771 + 0.787531i −0.00986672 + 0.0329571i −0.962781 0.270282i \(-0.912883\pi\)
0.952914 + 0.303239i \(0.0980682\pi\)
\(572\) 1.96906 1.50703i 0.0823304 0.0630120i
\(573\) −15.8132 + 22.5241i −0.660608 + 0.940957i
\(574\) 3.40042 + 2.98583i 0.141931 + 0.124626i
\(575\) 51.8094 18.8571i 2.16060 0.786395i
\(576\) 20.5311 + 12.4287i 0.855463 + 0.517864i
\(577\) −22.3067 8.11897i −0.928639 0.337997i −0.166969 0.985962i \(-0.553398\pi\)
−0.761670 + 0.647965i \(0.775620\pi\)
\(578\) 11.3757 + 20.7657i 0.473165 + 0.863738i
\(579\) −6.86749 + 12.6988i −0.285403 + 0.527744i
\(580\) −7.31911 14.1026i −0.303910 0.585579i
\(581\) −5.33209 0.623232i −0.221213 0.0258560i
\(582\) −0.393535 + 0.534623i −0.0163125 + 0.0221608i
\(583\) −1.54234 + 2.34502i −0.0638773 + 0.0971208i
\(584\) 10.2371 + 9.83655i 0.423616 + 0.407039i
\(585\) −42.6281 21.5413i −1.76246 0.890625i
\(586\) 13.1873 16.9080i 0.544761 0.698462i
\(587\) −40.1878 + 12.0314i −1.65873 + 0.496591i −0.972910 0.231183i \(-0.925740\pi\)
−0.685818 + 0.727773i \(0.740555\pi\)
\(588\) 18.2213 14.7682i 0.751434 0.609029i
\(589\) 21.1666 42.1461i 0.872154 1.73660i
\(590\) 29.7133 + 29.3207i 1.22328 + 1.20711i
\(591\) −7.50232 9.51247i −0.308604 0.391291i
\(592\) −38.7150 10.4768i −1.59118 0.430593i
\(593\) 19.7612 + 11.4091i 0.811493 + 0.468516i 0.847474 0.530837i \(-0.178122\pi\)
−0.0359809 + 0.999352i \(0.511456\pi\)
\(594\) 1.19523 + 2.05628i 0.0490409 + 0.0843700i
\(595\) −0.504990 0.874669i −0.0207026 0.0358579i
\(596\) −31.0061 + 5.89352i −1.27006 + 0.241408i
\(597\) 11.4312 18.4814i 0.467847 0.756393i
\(598\) 23.4615 6.45405i 0.959413 0.263926i
\(599\) 0.475031 + 8.15597i 0.0194093 + 0.333244i 0.994010 + 0.109293i \(0.0348586\pi\)
−0.974600 + 0.223951i \(0.928104\pi\)
\(600\) −37.7834 + 46.7789i −1.54250 + 1.90974i
\(601\) −38.9646 9.23478i −1.58940 0.376694i −0.661624 0.749836i \(-0.730132\pi\)
−0.927774 + 0.373141i \(0.878281\pi\)
\(602\) −0.155225 + 1.11120i −0.00632651 + 0.0452893i
\(603\) 0.0898735 36.2007i 0.00365993 1.47421i
\(604\) −35.4114 + 8.89177i −1.44087 + 0.361801i
\(605\) −2.63299 + 45.2067i −0.107046 + 1.83791i
\(606\) −36.9744 + 8.97464i −1.50198 + 0.364570i
\(607\) −34.0828 25.3737i −1.38338 1.02989i −0.994066 0.108781i \(-0.965305\pi\)
−0.389312 0.921106i \(-0.627287\pi\)
\(608\) −34.5939 17.1936i −1.40297 0.697291i
\(609\) −1.55286 + 0.318631i −0.0629252 + 0.0129116i
\(610\) 0.500374 22.2970i 0.0202595 0.902778i
\(611\) 15.8555 2.79575i 0.641444 0.113104i
\(612\) 1.70071 + 2.52585i 0.0687472 + 0.102101i
\(613\) −6.40824 1.12995i −0.258826 0.0456381i 0.0427292 0.999087i \(-0.486395\pi\)
−0.301555 + 0.953449i \(0.597506\pi\)
\(614\) 3.98999 19.9941i 0.161023 0.806897i
\(615\) 34.0601 33.9756i 1.37344 1.37003i
\(616\) −0.432351 + 0.0721691i −0.0174199 + 0.00290778i
\(617\) 5.35658 + 22.6012i 0.215648 + 0.909889i 0.967964 + 0.251088i \(0.0807882\pi\)
−0.752317 + 0.658802i \(0.771064\pi\)
\(618\) 15.1617 + 8.64456i 0.609891 + 0.347735i
\(619\) −14.1634 + 1.65546i −0.569273 + 0.0665385i −0.395860 0.918311i \(-0.629554\pi\)
−0.173413 + 0.984849i \(0.555480\pi\)
\(620\) −47.5394 + 32.1811i −1.90923 + 1.29243i
\(621\) 3.29672 + 23.1063i 0.132293 + 0.927222i
\(622\) 14.3728 + 7.62679i 0.576296 + 0.305806i
\(623\) −0.836881 + 1.94011i −0.0335289 + 0.0777288i
\(624\) −18.2837 + 19.2355i −0.731934 + 0.770037i
\(625\) −44.1174 46.7617i −1.76470 1.87047i
\(626\) 5.84360 12.7524i 0.233557 0.509688i
\(627\) −2.19196 3.13873i −0.0875385 0.125349i
\(628\) −38.0105 + 14.4101i −1.51678 + 0.575026i
\(629\) −3.89819 3.27097i −0.155431 0.130422i
\(630\) 4.87160 + 6.89600i 0.194089 + 0.274743i
\(631\) −1.01380 1.20820i −0.0403589 0.0480979i 0.745487 0.666520i \(-0.232217\pi\)
−0.785846 + 0.618422i \(0.787772\pi\)
\(632\) −11.7792 6.05112i −0.468553 0.240701i
\(633\) −37.5659 29.7791i −1.49311 1.18361i
\(634\) −2.62846 + 32.5344i −0.104390 + 1.29211i
\(635\) 41.8344 18.0456i 1.66015 0.716118i
\(636\) 12.3664 27.3770i 0.490358 1.08557i
\(637\) 11.6398 + 23.1768i 0.461186 + 0.918297i
\(638\) −0.832316 0.269669i −0.0329517 0.0106763i
\(639\) −6.42960 + 26.8316i −0.254351 + 1.06144i
\(640\) 26.5217 + 38.8294i 1.04836 + 1.53487i
\(641\) −15.4368 14.5638i −0.609716 0.575237i 0.318202 0.948023i \(-0.396921\pi\)
−0.927917 + 0.372786i \(0.878403\pi\)
\(642\) 3.34367 5.14421i 0.131964 0.203026i
\(643\) 27.9080 18.3554i 1.10058 0.723865i 0.136812 0.990597i \(-0.456314\pi\)
0.963771 + 0.266732i \(0.0859439\pi\)
\(644\) −4.19840 0.936235i −0.165440 0.0368928i
\(645\) 11.6786 + 2.42656i 0.459845 + 0.0955456i
\(646\) −3.06553 3.82443i −0.120612 0.150470i
\(647\) −8.46544 −0.332811 −0.166405 0.986057i \(-0.553216\pi\)
−0.166405 + 0.986057i \(0.553216\pi\)
\(648\) −16.0861 19.7291i −0.631923 0.775032i
\(649\) 2.29864 0.0902295
\(650\) −41.5870 51.8823i −1.63118 2.03499i
\(651\) 1.79481 + 5.43903i 0.0703441 + 0.213173i
\(652\) 1.26453 5.67058i 0.0495228 0.222077i
\(653\) 17.7905 11.7010i 0.696194 0.457894i −0.151446 0.988466i \(-0.548393\pi\)
0.847640 + 0.530571i \(0.178023\pi\)
\(654\) −18.6064 36.5539i −0.727566 1.42937i
\(655\) 9.22433 + 8.70270i 0.360424 + 0.340043i
\(656\) −12.6282 23.5604i −0.493049 0.919879i
\(657\) −6.72471 13.4733i −0.262356 0.525643i
\(658\) −2.70755 0.877243i −0.105551 0.0341985i
\(659\) −17.6879 35.2195i −0.689022 1.37196i −0.917236 0.398345i \(-0.869585\pi\)
0.228214 0.973611i \(-0.426712\pi\)
\(660\) 0.462102 + 4.63699i 0.0179873 + 0.180495i
\(661\) 4.58323 1.97701i 0.178267 0.0768968i −0.305076 0.952328i \(-0.598682\pi\)
0.483343 + 0.875431i \(0.339423\pi\)
\(662\) 2.59212 32.0846i 0.100746 1.24700i
\(663\) −3.13079 + 1.23929i −0.121590 + 0.0481299i
\(664\) 28.2075 + 14.4905i 1.09466 + 0.562341i
\(665\) −8.73572 10.4108i −0.338757 0.403715i
\(666\) 34.9485 + 24.2547i 1.35423 + 0.939851i
\(667\) −6.57714 5.51887i −0.254668 0.213692i
\(668\) 12.4946 + 32.9579i 0.483432 + 1.27518i
\(669\) −17.8728 + 38.2045i −0.691003 + 1.47707i
\(670\) 29.5470 64.4800i 1.14150 2.49108i
\(671\) −0.842764 0.893278i −0.0325346 0.0344846i
\(672\) 4.44896 1.48869i 0.171622 0.0574273i
\(673\) −1.76244 + 4.08580i −0.0679371 + 0.157496i −0.948802 0.315872i \(-0.897703\pi\)
0.880865 + 0.473368i \(0.156962\pi\)
\(674\) 4.21206 + 2.23509i 0.162243 + 0.0860925i
\(675\) 54.4081 33.2804i 2.09417 1.28096i
\(676\) −1.87556 2.77066i −0.0721370 0.106564i
\(677\) −39.4843 + 4.61505i −1.51750 + 0.177371i −0.833669 0.552265i \(-0.813764\pi\)
−0.683836 + 0.729636i \(0.739690\pi\)
\(678\) 0.177674 + 32.8419i 0.00682352 + 1.26128i
\(679\) 0.0299261 + 0.126268i 0.00114846 + 0.00484572i
\(680\) 0.982285 + 5.88467i 0.0376689 + 0.225667i
\(681\) 8.21967 + 30.8292i 0.314978 + 1.18138i
\(682\) −0.618631 + 3.10001i −0.0236886 + 0.118705i
\(683\) 2.69407 + 0.475037i 0.103086 + 0.0181768i 0.224953 0.974370i \(-0.427777\pi\)
−0.121867 + 0.992546i \(0.538888\pi\)
\(684\) 28.4392 + 29.4977i 1.08740 + 1.12787i
\(685\) 24.2447 4.27499i 0.926341 0.163339i
\(686\) 0.209209 9.32248i 0.00798763 0.355934i
\(687\) −9.95746 11.2171i −0.379901 0.427960i
\(688\) 3.16002 5.82594i 0.120475 0.222112i
\(689\) 26.6450 + 19.8364i 1.01509 + 0.755708i
\(690\) −12.8783 + 43.8791i −0.490268 + 1.67045i
\(691\) −2.35036 + 40.3541i −0.0894119 + 1.53514i 0.593614 + 0.804750i \(0.297701\pi\)
−0.683026 + 0.730394i \(0.739337\pi\)
\(692\) −8.15116 32.4619i −0.309861 1.23402i
\(693\) 0.457657 + 0.0818693i 0.0173849 + 0.00310996i
\(694\) 3.01670 21.5955i 0.114512 0.819756i
\(695\) 52.4066 + 12.4206i 1.98790 + 0.471140i
\(696\) 9.25062 + 1.45322i 0.350644 + 0.0550841i
\(697\) −0.197204 3.38586i −0.00746962 0.128248i
\(698\) −25.1814 + 6.92716i −0.953129 + 0.262197i
\(699\) 6.43934 + 11.9781i 0.243558 + 0.453052i
\(700\) 2.19492 + 11.5476i 0.0829602 + 0.436458i
\(701\) −18.3803 31.8356i −0.694214 1.20241i −0.970445 0.241322i \(-0.922419\pi\)
0.276231 0.961091i \(-0.410914\pi\)
\(702\) 25.1173 12.7066i 0.947991 0.479579i
\(703\) −59.3004 34.2371i −2.23656 1.29128i
\(704\) 2.54131 + 0.496135i 0.0957792 + 0.0186988i
\(705\) −11.2061 + 28.1058i −0.422047 + 1.05852i
\(706\) −21.8643 21.5753i −0.822872 0.811998i
\(707\) −3.33793 + 6.64637i −0.125536 + 0.249962i
\(708\) −24.2975 + 3.85895i −0.913157 + 0.145028i
\(709\) −25.9500 + 7.76892i −0.974573 + 0.291768i −0.734215 0.678917i \(-0.762450\pi\)
−0.240357 + 0.970684i \(0.577265\pi\)
\(710\) −33.2463 + 42.6265i −1.24771 + 1.59975i
\(711\) 9.61348 + 10.2405i 0.360534 + 0.384049i
\(712\) 8.64771 8.99990i 0.324087 0.337285i
\(713\) −17.0465 + 25.9180i −0.638397 + 0.970635i
\(714\) 0.591574 + 0.0659030i 0.0221391 + 0.00246636i
\(715\) −5.11803 0.598212i −0.191403 0.0223719i
\(716\) 5.76382 2.99136i 0.215404 0.111792i
\(717\) 9.79983 + 15.9322i 0.365981 + 0.594998i
\(718\) 13.8826 + 25.3420i 0.518095 + 0.945755i
\(719\) −15.5562 5.66198i −0.580147 0.211156i 0.0352433 0.999379i \(-0.488779\pi\)
−0.615390 + 0.788223i \(0.711002\pi\)
\(720\) −12.6692 48.2390i −0.472152 1.79776i
\(721\) 3.20588 1.16684i 0.119393 0.0434555i
\(722\) −29.3685 25.7878i −1.09298 0.959722i
\(723\) −3.92340 0.348161i −0.145913 0.0129483i
\(724\) 5.89718 + 7.70514i 0.219167 + 0.286359i
\(725\) −6.72888 + 22.4760i −0.249904 + 0.834739i
\(726\) −20.5365 17.0437i −0.762182 0.632552i
\(727\) −19.7892 + 14.7325i −0.733940 + 0.546398i −0.897970 0.440057i \(-0.854958\pi\)
0.164030 + 0.986455i \(0.447551\pi\)
\(728\) 0.555157 + 5.15787i 0.0205755 + 0.191163i
\(729\) 9.04532 + 25.4398i 0.335012 + 0.942214i
\(730\) −1.05422 29.4844i −0.0390186 1.09127i
\(731\) 0.674515 0.502158i 0.0249478 0.0185730i
\(732\) 10.4080 + 8.02747i 0.384690 + 0.296704i
\(733\) −31.0870 9.30683i −1.14822 0.343756i −0.344517 0.938780i \(-0.611957\pi\)
−0.803708 + 0.595025i \(0.797142\pi\)
\(734\) −24.9490 + 17.7180i −0.920886 + 0.653982i
\(735\) −48.5506 4.30836i −1.79082 0.158916i
\(736\) 21.2875 + 13.8742i 0.784666 + 0.511411i
\(737\) −1.33579 3.67006i −0.0492046 0.135188i
\(738\) 4.22614 + 28.0361i 0.155566 + 1.03202i
\(739\) 11.5906 + 4.21864i 0.426368 + 0.155185i 0.546286 0.837598i \(-0.316041\pi\)
−0.119918 + 0.992784i \(0.538263\pi\)
\(740\) 42.6306 + 71.6210i 1.56713 + 2.63284i
\(741\) −38.5924 + 23.7380i −1.41773 + 0.872039i
\(742\) −2.51703 5.30538i −0.0924032 0.194767i
\(743\) 6.03555 + 0.705454i 0.221423 + 0.0258806i 0.226081 0.974109i \(-0.427409\pi\)
−0.00465809 + 0.999989i \(0.501483\pi\)
\(744\) 1.33489 33.8068i 0.0489393 1.23942i
\(745\) 54.7981 + 36.0413i 2.00765 + 1.32045i
\(746\) 6.26054 5.64647i 0.229214 0.206732i
\(747\) −23.0212 24.5228i −0.842303 0.897241i
\(748\) 0.266101 + 0.192657i 0.00972961 + 0.00704423i
\(749\) −0.343969 1.14894i −0.0125683 0.0419812i
\(750\) 73.5098 8.99544i 2.68420 0.328467i
\(751\) −5.26182 + 10.4771i −0.192006 + 0.382316i −0.968951 0.247253i \(-0.920472\pi\)
0.776945 + 0.629569i \(0.216769\pi\)
\(752\) 13.1620 + 10.4604i 0.479968 + 0.381451i
\(753\) 8.86315 + 3.53385i 0.322991 + 0.128781i
\(754\) −3.75888 + 9.64821i −0.136890 + 0.351367i
\(755\) 65.7085 + 37.9368i 2.39138 + 1.38066i
\(756\) −4.97505 0.0970770i −0.180941 0.00353066i
\(757\) 7.42485 4.28674i 0.269861 0.155804i −0.358964 0.933352i \(-0.616870\pi\)
0.628824 + 0.777547i \(0.283536\pi\)
\(758\) 2.24363 + 14.6376i 0.0814925 + 0.531661i
\(759\) 1.19234 + 2.21792i 0.0432793 + 0.0805056i
\(760\) 26.7671 + 75.6863i 0.970946 + 2.74543i
\(761\) −8.87388 + 0.516845i −0.321678 + 0.0187356i −0.218224 0.975899i \(-0.570026\pi\)
−0.103454 + 0.994634i \(0.532989\pi\)
\(762\) −6.05087 + 26.1605i −0.219200 + 0.947695i
\(763\) −7.80168 1.84903i −0.282440 0.0669394i
\(764\) 3.26905 31.6097i 0.118270 1.14360i
\(765\) 1.11431 6.22911i 0.0402880 0.225214i
\(766\) 22.8569 4.87831i 0.825855 0.176260i
\(767\) 1.58179 27.1583i 0.0571153 0.980631i
\(768\) −27.6956 0.977999i −0.999377 0.0352905i
\(769\) 18.1628 24.3968i 0.654966 0.879772i −0.343264 0.939239i \(-0.611533\pi\)
0.998230 + 0.0594667i \(0.0189400\pi\)
\(770\) 0.749631 + 0.517501i 0.0270148 + 0.0186495i
\(771\) −6.35668 7.16082i −0.228930 0.257891i
\(772\) −0.221749 16.6687i −0.00798091 0.599921i