Properties

Label 144.2.u.a.83.15
Level $144$
Weight $2$
Character 144.83
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 83.15
Character \(\chi\) \(=\) 144.83
Dual form 144.2.u.a.59.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.417977 + 1.35103i) q^{2} +(1.68223 + 0.412428i) q^{3} +(-1.65059 + 1.12940i) q^{4} +(0.0776974 - 0.289971i) q^{5} +(0.145929 + 2.44514i) q^{6} +(-0.374023 + 0.647827i) q^{7} +(-2.21577 - 1.75794i) q^{8} +(2.65981 + 1.38760i) q^{9} +O(q^{10})\) \(q+(0.417977 + 1.35103i) q^{2} +(1.68223 + 0.412428i) q^{3} +(-1.65059 + 1.12940i) q^{4} +(0.0776974 - 0.289971i) q^{5} +(0.145929 + 2.44514i) q^{6} +(-0.374023 + 0.647827i) q^{7} +(-2.21577 - 1.75794i) q^{8} +(2.65981 + 1.38760i) q^{9} +(0.424236 - 0.0162292i) q^{10} +(-0.599457 - 2.23720i) q^{11} +(-3.24247 + 1.21917i) q^{12} +(-0.429571 + 1.60318i) q^{13} +(-1.03157 - 0.234541i) q^{14} +(0.250297 - 0.455753i) q^{15} +(1.44890 - 3.72836i) q^{16} -6.74518i q^{17} +(-0.762958 + 4.17348i) q^{18} +(0.621335 - 0.621335i) q^{19} +(0.199247 + 0.566375i) q^{20} +(-0.896375 + 0.935537i) q^{21} +(2.77198 - 1.74499i) q^{22} +(-6.06191 + 3.49985i) q^{23} +(-3.00242 - 3.87111i) q^{24} +(4.25208 + 2.45494i) q^{25} +(-2.34550 + 0.0897272i) q^{26} +(3.90212 + 3.43124i) q^{27} +(-0.114299 - 1.49172i) q^{28} +(-1.45829 - 5.44240i) q^{29} +(0.720357 + 0.147666i) q^{30} +(-3.13647 + 1.81084i) q^{31} +(5.64276 + 0.399142i) q^{32} +(-0.0857395 - 4.01073i) q^{33} +(9.11297 - 2.81933i) q^{34} +(0.158790 + 0.158790i) q^{35} +(-5.95741 + 0.713634i) q^{36} +(6.74053 - 6.74053i) q^{37} +(1.09915 + 0.579742i) q^{38} +(-1.38383 + 2.51975i) q^{39} +(-0.681911 + 0.505921i) q^{40} +(1.39492 + 2.41607i) q^{41} +(-1.63861 - 0.820001i) q^{42} +(-7.08744 + 1.89907i) q^{43} +(3.51616 + 3.01568i) q^{44} +(0.609023 - 0.663453i) q^{45} +(-7.26216 - 6.72700i) q^{46} +(-0.307120 + 0.531947i) q^{47} +(3.97506 - 5.67440i) q^{48} +(3.22021 + 5.57757i) q^{49} +(-1.53944 + 6.77082i) q^{50} +(2.78190 - 11.3470i) q^{51} +(-1.10159 - 3.13135i) q^{52} +(-2.68523 - 2.68523i) q^{53} +(-3.00473 + 6.70609i) q^{54} -0.695300 q^{55} +(1.96759 - 0.777926i) q^{56} +(1.30149 - 0.788974i) q^{57} +(6.74334 - 4.24499i) q^{58} +(-0.00841962 - 0.00225603i) q^{59} +(0.101591 + 1.03495i) q^{60} +(-10.1714 + 2.72542i) q^{61} +(-3.75748 - 3.48059i) q^{62} +(-1.89375 + 1.20410i) q^{63} +(1.81929 + 7.79039i) q^{64} +(0.431499 + 0.249126i) q^{65} +(5.38279 - 1.79223i) q^{66} +(-8.78151 - 2.35300i) q^{67} +(7.61803 + 11.1335i) q^{68} +(-11.6410 + 3.38745i) q^{69} +(-0.148160 + 0.280902i) q^{70} +15.9645i q^{71} +(-3.45420 - 7.75039i) q^{72} +8.17785i q^{73} +(11.9241 + 6.28930i) q^{74} +(6.14050 + 5.88346i) q^{75} +(-0.323832 + 1.72731i) q^{76} +(1.67353 + 0.448421i) q^{77} +(-3.98269 - 0.816410i) q^{78} +(7.67035 + 4.42848i) q^{79} +(-0.968541 - 0.709822i) q^{80} +(5.14914 + 7.38149i) q^{81} +(-2.68115 + 2.89445i) q^{82} +(-1.32013 + 0.353727i) q^{83} +(0.422950 - 2.55656i) q^{84} +(-1.95590 - 0.524083i) q^{85} +(-5.52810 - 8.78161i) q^{86} +(-0.208577 - 9.75681i) q^{87} +(-2.60461 + 6.01094i) q^{88} -15.7852 q^{89} +(1.15091 + 0.545504i) q^{90} +(-0.877914 - 0.877914i) q^{91} +(6.05300 - 12.6232i) q^{92} +(-6.02310 + 1.75268i) q^{93} +(-0.847048 - 0.192588i) q^{94} +(-0.131893 - 0.228445i) q^{95} +(9.32780 + 2.99868i) q^{96} +(-4.62075 + 8.00338i) q^{97} +(-6.18952 + 6.68192i) q^{98} +(1.50990 - 6.78233i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} + O(q^{10}) \) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{10} - 6 q^{11} - 16 q^{12} - 2 q^{13} - 6 q^{14} - 2 q^{16} - 10 q^{18} - 8 q^{19} - 48 q^{20} + 2 q^{21} - 2 q^{22} - 12 q^{23} - 16 q^{27} + 8 q^{28} - 6 q^{29} - 34 q^{30} - 6 q^{32} - 8 q^{33} + 2 q^{34} - 26 q^{36} - 8 q^{37} - 6 q^{38} - 32 q^{39} - 2 q^{40} + 48 q^{42} - 2 q^{43} + 6 q^{45} - 40 q^{46} + 42 q^{48} - 24 q^{49} + 72 q^{50} - 12 q^{51} - 2 q^{52} - 38 q^{54} - 16 q^{55} + 36 q^{56} + 16 q^{58} - 42 q^{59} + 70 q^{60} - 2 q^{61} - 44 q^{64} - 12 q^{65} + 104 q^{66} - 2 q^{67} + 96 q^{68} - 10 q^{69} - 16 q^{70} - 10 q^{72} + 78 q^{74} - 56 q^{75} - 14 q^{76} - 6 q^{77} + 12 q^{78} - 8 q^{81} - 36 q^{82} + 54 q^{83} + 158 q^{84} + 8 q^{85} + 54 q^{86} + 48 q^{87} + 22 q^{88} + 64 q^{90} + 20 q^{91} + 108 q^{92} - 34 q^{93} + 6 q^{94} - 58 q^{96} - 4 q^{97} + 46 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.417977 + 1.35103i 0.295554 + 0.955326i
\(3\) 1.68223 + 0.412428i 0.971237 + 0.238116i
\(4\) −1.65059 + 1.12940i −0.825295 + 0.564701i
\(5\) 0.0776974 0.289971i 0.0347473 0.129679i −0.946373 0.323075i \(-0.895283\pi\)
0.981121 + 0.193396i \(0.0619502\pi\)
\(6\) 0.145929 + 2.44514i 0.0595753 + 0.998224i
\(7\) −0.374023 + 0.647827i −0.141367 + 0.244855i −0.928012 0.372551i \(-0.878483\pi\)
0.786644 + 0.617406i \(0.211817\pi\)
\(8\) −2.21577 1.75794i −0.783394 0.621526i
\(9\) 2.65981 + 1.38760i 0.886602 + 0.462533i
\(10\) 0.424236 0.0162292i 0.134155 0.00513211i
\(11\) −0.599457 2.23720i −0.180743 0.674542i −0.995502 0.0947421i \(-0.969797\pi\)
0.814759 0.579800i \(-0.196869\pi\)
\(12\) −3.24247 + 1.21917i −0.936021 + 0.351943i
\(13\) −0.429571 + 1.60318i −0.119142 + 0.444642i −0.999563 0.0295491i \(-0.990593\pi\)
0.880422 + 0.474191i \(0.157260\pi\)
\(14\) −1.03157 0.234541i −0.275699 0.0626838i
\(15\) 0.250297 0.455753i 0.0646264 0.117675i
\(16\) 1.44890 3.72836i 0.362225 0.932091i
\(17\) 6.74518i 1.63595i −0.575256 0.817973i \(-0.695098\pi\)
0.575256 0.817973i \(-0.304902\pi\)
\(18\) −0.762958 + 4.17348i −0.179831 + 0.983698i
\(19\) 0.621335 0.621335i 0.142544 0.142544i −0.632234 0.774778i \(-0.717862\pi\)
0.774778 + 0.632234i \(0.217862\pi\)
\(20\) 0.199247 + 0.566375i 0.0445530 + 0.126645i
\(21\) −0.896375 + 0.935537i −0.195605 + 0.204151i
\(22\) 2.77198 1.74499i 0.590988 0.372032i
\(23\) −6.06191 + 3.49985i −1.26400 + 0.729769i −0.973845 0.227212i \(-0.927039\pi\)
−0.290151 + 0.956981i \(0.593706\pi\)
\(24\) −3.00242 3.87111i −0.612866 0.790187i
\(25\) 4.25208 + 2.45494i 0.850416 + 0.490988i
\(26\) −2.34550 + 0.0897272i −0.459991 + 0.0175970i
\(27\) 3.90212 + 3.43124i 0.750964 + 0.660343i
\(28\) −0.114299 1.49172i −0.0216004 0.281908i
\(29\) −1.45829 5.44240i −0.270797 1.01063i −0.958606 0.284736i \(-0.908094\pi\)
0.687809 0.725892i \(-0.258573\pi\)
\(30\) 0.720357 + 0.147666i 0.131519 + 0.0269600i
\(31\) −3.13647 + 1.81084i −0.563326 + 0.325236i −0.754479 0.656324i \(-0.772111\pi\)
0.191153 + 0.981560i \(0.438777\pi\)
\(32\) 5.64276 + 0.399142i 0.997508 + 0.0705590i
\(33\) −0.0857395 4.01073i −0.0149253 0.698178i
\(34\) 9.11297 2.81933i 1.56286 0.483511i
\(35\) 0.158790 + 0.158790i 0.0268404 + 0.0268404i
\(36\) −5.95741 + 0.713634i −0.992902 + 0.118939i
\(37\) 6.74053 6.74053i 1.10814 1.10814i 0.114740 0.993396i \(-0.463396\pi\)
0.993396 0.114740i \(-0.0366036\pi\)
\(38\) 1.09915 + 0.579742i 0.178306 + 0.0940465i
\(39\) −1.38383 + 2.51975i −0.221591 + 0.403483i
\(40\) −0.681911 + 0.505921i −0.107820 + 0.0799932i
\(41\) 1.39492 + 2.41607i 0.217850 + 0.377327i 0.954150 0.299328i \(-0.0967624\pi\)
−0.736301 + 0.676655i \(0.763429\pi\)
\(42\) −1.63861 0.820001i −0.252843 0.126529i
\(43\) −7.08744 + 1.89907i −1.08082 + 0.289606i −0.754934 0.655801i \(-0.772331\pi\)
−0.325891 + 0.945407i \(0.605664\pi\)
\(44\) 3.51616 + 3.01568i 0.530081 + 0.454631i
\(45\) 0.609023 0.663453i 0.0907878 0.0989017i
\(46\) −7.26216 6.72700i −1.07075 0.991842i
\(47\) −0.307120 + 0.531947i −0.0447980 + 0.0775924i −0.887555 0.460702i \(-0.847598\pi\)
0.842757 + 0.538294i \(0.180931\pi\)
\(48\) 3.97506 5.67440i 0.573751 0.819030i
\(49\) 3.22021 + 5.57757i 0.460031 + 0.796796i
\(50\) −1.53944 + 6.77082i −0.217709 + 0.957538i
\(51\) 2.78190 11.3470i 0.389544 1.58889i
\(52\) −1.10159 3.13135i −0.152763 0.434241i
\(53\) −2.68523 2.68523i −0.368844 0.368844i 0.498211 0.867056i \(-0.333990\pi\)
−0.867056 + 0.498211i \(0.833990\pi\)
\(54\) −3.00473 + 6.70609i −0.408892 + 0.912583i
\(55\) −0.695300 −0.0937542
\(56\) 1.96759 0.777926i 0.262930 0.103955i
\(57\) 1.30149 0.788974i 0.172386 0.104502i
\(58\) 6.74334 4.24499i 0.885444 0.557395i
\(59\) −0.00841962 0.00225603i −0.00109614 0.000293710i 0.258271 0.966073i \(-0.416847\pi\)
−0.259367 + 0.965779i \(0.583514\pi\)
\(60\) 0.101591 + 1.03495i 0.0131153 + 0.133611i
\(61\) −10.1714 + 2.72542i −1.30232 + 0.348955i −0.842326 0.538969i \(-0.818814\pi\)
−0.459991 + 0.887924i \(0.652147\pi\)
\(62\) −3.75748 3.48059i −0.477200 0.442035i
\(63\) −1.89375 + 1.20410i −0.238590 + 0.151702i
\(64\) 1.81929 + 7.79039i 0.227411 + 0.973799i
\(65\) 0.431499 + 0.249126i 0.0535208 + 0.0309003i
\(66\) 5.38279 1.79223i 0.662576 0.220608i
\(67\) −8.78151 2.35300i −1.07283 0.287464i −0.321176 0.947020i \(-0.604078\pi\)
−0.751656 + 0.659555i \(0.770745\pi\)
\(68\) 7.61803 + 11.1335i 0.923821 + 1.35014i
\(69\) −11.6410 + 3.38745i −1.40141 + 0.407801i
\(70\) −0.148160 + 0.280902i −0.0177086 + 0.0335742i
\(71\) 15.9645i 1.89463i 0.320297 + 0.947317i \(0.396217\pi\)
−0.320297 + 0.947317i \(0.603783\pi\)
\(72\) −3.45420 7.75039i −0.407082 0.913392i
\(73\) 8.17785i 0.957145i 0.878048 + 0.478572i \(0.158846\pi\)
−0.878048 + 0.478572i \(0.841154\pi\)
\(74\) 11.9241 + 6.28930i 1.38615 + 0.731116i
\(75\) 6.14050 + 5.88346i 0.709044 + 0.679363i
\(76\) −0.323832 + 1.72731i −0.0371461 + 0.198136i
\(77\) 1.67353 + 0.448421i 0.190717 + 0.0511023i
\(78\) −3.98269 0.816410i −0.450950 0.0924402i
\(79\) 7.67035 + 4.42848i 0.862982 + 0.498243i 0.865010 0.501755i \(-0.167312\pi\)
−0.00202794 + 0.999998i \(0.500646\pi\)
\(80\) −0.968541 0.709822i −0.108286 0.0793605i
\(81\) 5.14914 + 7.38149i 0.572126 + 0.820166i
\(82\) −2.68115 + 2.89445i −0.296084 + 0.319638i
\(83\) −1.32013 + 0.353727i −0.144903 + 0.0388266i −0.330541 0.943791i \(-0.607231\pi\)
0.185638 + 0.982618i \(0.440565\pi\)
\(84\) 0.422950 2.55656i 0.0461477 0.278943i
\(85\) −1.95590 0.524083i −0.212148 0.0568448i
\(86\) −5.52810 8.78161i −0.596111 0.946946i
\(87\) −0.208577 9.75681i −0.0223618 1.04604i
\(88\) −2.60461 + 6.01094i −0.277653 + 0.640768i
\(89\) −15.7852 −1.67323 −0.836613 0.547794i \(-0.815468\pi\)
−0.836613 + 0.547794i \(0.815468\pi\)
\(90\) 1.15091 + 0.545504i 0.121316 + 0.0575011i
\(91\) −0.877914 0.877914i −0.0920304 0.0920304i
\(92\) 6.05300 12.6232i 0.631069 1.31606i
\(93\) −6.02310 + 1.75268i −0.624567 + 0.181745i
\(94\) −0.847048 0.192588i −0.0873663 0.0198639i
\(95\) −0.131893 0.228445i −0.0135319 0.0234380i
\(96\) 9.32780 + 2.99868i 0.952015 + 0.306052i
\(97\) −4.62075 + 8.00338i −0.469166 + 0.812620i −0.999379 0.0352448i \(-0.988779\pi\)
0.530212 + 0.847865i \(0.322112\pi\)
\(98\) −6.18952 + 6.68192i −0.625236 + 0.674976i
\(99\) 1.50990 6.78233i 0.151751 0.681650i
\(100\) −9.79106 + 0.750212i −0.979106 + 0.0750212i
\(101\) 15.2552 4.08762i 1.51795 0.406734i 0.598885 0.800835i \(-0.295611\pi\)
0.919067 + 0.394102i \(0.128944\pi\)
\(102\) 16.4929 0.984318i 1.63304 0.0974620i
\(103\) −5.63994 9.76866i −0.555720 0.962535i −0.997847 0.0655828i \(-0.979109\pi\)
0.442127 0.896952i \(-0.354224\pi\)
\(104\) 3.77013 2.79712i 0.369691 0.274280i
\(105\) 0.201632 + 0.332611i 0.0196773 + 0.0324595i
\(106\) 2.50547 4.75020i 0.243353 0.461380i
\(107\) 9.39963 9.39963i 0.908696 0.908696i −0.0874707 0.996167i \(-0.527878\pi\)
0.996167 + 0.0874707i \(0.0278784\pi\)
\(108\) −10.3161 1.25651i −0.992664 0.120907i
\(109\) 0.535130 + 0.535130i 0.0512562 + 0.0512562i 0.732270 0.681014i \(-0.238461\pi\)
−0.681014 + 0.732270i \(0.738461\pi\)
\(110\) −0.290619 0.939374i −0.0277095 0.0895658i
\(111\) 14.1191 8.55914i 1.34013 0.812398i
\(112\) 1.87341 + 2.33313i 0.177021 + 0.220460i
\(113\) 3.53279 2.03966i 0.332337 0.191875i −0.324541 0.945872i \(-0.605210\pi\)
0.656878 + 0.753997i \(0.271877\pi\)
\(114\) 1.60992 + 1.42858i 0.150783 + 0.133799i
\(115\) 0.543858 + 2.02971i 0.0507150 + 0.189271i
\(116\) 8.55369 + 7.33618i 0.794191 + 0.681147i
\(117\) −3.36715 + 3.66808i −0.311293 + 0.339114i
\(118\) −0.000471231 0.0123182i −4.33803e−5 0.00113398i
\(119\) 4.36971 + 2.52285i 0.400570 + 0.231269i
\(120\) −1.35579 + 0.569838i −0.123766 + 0.0520188i
\(121\) 4.88055 2.81779i 0.443686 0.256162i
\(122\) −7.93356 12.6028i −0.718271 1.14100i
\(123\) 1.35012 + 4.63969i 0.121736 + 0.418347i
\(124\) 3.13185 6.53129i 0.281249 0.586527i
\(125\) 2.10360 2.10360i 0.188152 0.188152i
\(126\) −2.41833 2.05524i −0.215442 0.183095i
\(127\) 1.78789i 0.158650i 0.996849 + 0.0793250i \(0.0252765\pi\)
−0.996849 + 0.0793250i \(0.974724\pi\)
\(128\) −9.76467 + 5.71412i −0.863083 + 0.505062i
\(129\) −12.7060 + 0.271622i −1.11870 + 0.0239150i
\(130\) −0.156221 + 0.687099i −0.0137015 + 0.0602626i
\(131\) 1.03741 3.87165i 0.0906386 0.338268i −0.905684 0.423954i \(-0.860642\pi\)
0.996322 + 0.0856865i \(0.0273083\pi\)
\(132\) 4.67125 + 6.52323i 0.406580 + 0.567775i
\(133\) 0.170124 + 0.634911i 0.0147516 + 0.0550538i
\(134\) −0.491486 12.8476i −0.0424579 1.10987i
\(135\) 1.29814 0.864903i 0.111727 0.0744390i
\(136\) −11.8576 + 14.9458i −1.01678 + 1.28159i
\(137\) −0.396519 + 0.686792i −0.0338769 + 0.0586766i −0.882467 0.470375i \(-0.844119\pi\)
0.848590 + 0.529051i \(0.177452\pi\)
\(138\) −9.44222 14.3115i −0.803775 1.21828i
\(139\) 4.74448 17.7067i 0.402422 1.50186i −0.406340 0.913722i \(-0.633195\pi\)
0.808762 0.588137i \(-0.200138\pi\)
\(140\) −0.441436 0.0827595i −0.0373081 0.00699445i
\(141\) −0.736036 + 0.768193i −0.0619854 + 0.0646935i
\(142\) −21.5686 + 6.67278i −1.80999 + 0.559967i
\(143\) 3.84415 0.321464
\(144\) 9.02726 7.90623i 0.752272 0.658853i
\(145\) −1.69144 −0.140467
\(146\) −11.0486 + 3.41815i −0.914385 + 0.282888i
\(147\) 3.11680 + 10.7109i 0.257069 + 0.883418i
\(148\) −3.51308 + 18.7386i −0.288773 + 1.54031i
\(149\) −3.38007 + 12.6146i −0.276906 + 1.03343i 0.677647 + 0.735388i \(0.263000\pi\)
−0.954553 + 0.298041i \(0.903667\pi\)
\(150\) −5.38217 + 10.7552i −0.439452 + 0.878156i
\(151\) 9.45023 16.3683i 0.769049 1.33203i −0.169030 0.985611i \(-0.554063\pi\)
0.938079 0.346421i \(-0.112603\pi\)
\(152\) −2.46901 + 0.284466i −0.200263 + 0.0230733i
\(153\) 9.35961 17.9409i 0.756679 1.45043i
\(154\) 0.0936646 + 2.44843i 0.00754771 + 0.197300i
\(155\) 0.281395 + 1.05018i 0.0226022 + 0.0843526i
\(156\) −0.561673 5.72199i −0.0449698 0.458126i
\(157\) 2.46555 9.20155i 0.196772 0.734364i −0.795029 0.606572i \(-0.792544\pi\)
0.991801 0.127792i \(-0.0407891\pi\)
\(158\) −2.77700 + 12.2139i −0.220926 + 0.971687i
\(159\) −3.40971 5.62463i −0.270408 0.446063i
\(160\) 0.554167 1.60522i 0.0438107 0.126904i
\(161\) 5.23609i 0.412662i
\(162\) −7.82043 + 10.0420i −0.614431 + 0.788970i
\(163\) −6.24968 + 6.24968i −0.489512 + 0.489512i −0.908152 0.418640i \(-0.862507\pi\)
0.418640 + 0.908152i \(0.362507\pi\)
\(164\) −5.03116 2.41252i −0.392867 0.188386i
\(165\) −1.16965 0.286761i −0.0910575 0.0223243i
\(166\) −1.02968 1.63569i −0.0799188 0.126954i
\(167\) 7.96426 4.59817i 0.616293 0.355817i −0.159132 0.987257i \(-0.550869\pi\)
0.775424 + 0.631441i \(0.217536\pi\)
\(168\) 3.63078 0.497161i 0.280121 0.0383568i
\(169\) 8.87267 + 5.12264i 0.682513 + 0.394049i
\(170\) −0.109469 2.86155i −0.00839585 0.219471i
\(171\) 2.51480 0.790467i 0.192311 0.0604485i
\(172\) 9.55364 11.1392i 0.728459 0.849354i
\(173\) 2.05554 + 7.67137i 0.156280 + 0.583243i 0.998992 + 0.0448800i \(0.0142906\pi\)
−0.842713 + 0.538363i \(0.819043\pi\)
\(174\) 13.0946 4.35992i 0.992700 0.330524i
\(175\) −3.18075 + 1.83641i −0.240442 + 0.138819i
\(176\) −9.20966 1.00649i −0.694204 0.0758668i
\(177\) −0.0132333 0.00726765i −0.000994675 0.000546270i
\(178\) −6.59784 21.3263i −0.494529 1.59848i
\(179\) 7.99447 + 7.99447i 0.597535 + 0.597535i 0.939656 0.342121i \(-0.111145\pi\)
−0.342121 + 0.939656i \(0.611145\pi\)
\(180\) −0.255942 + 1.78292i −0.0190768 + 0.132891i
\(181\) 14.5271 14.5271i 1.07979 1.07979i 0.0832666 0.996527i \(-0.473465\pi\)
0.996527 0.0832666i \(-0.0265353\pi\)
\(182\) 0.819144 1.55304i 0.0607190 0.115119i
\(183\) −18.2347 + 0.389813i −1.34795 + 0.0288158i
\(184\) 19.5843 + 2.90162i 1.44378 + 0.213911i
\(185\) −1.43083 2.47828i −0.105197 0.182207i
\(186\) −4.88546 7.40484i −0.358219 0.542949i
\(187\) −15.0903 + 4.04344i −1.10351 + 0.295686i
\(188\) −0.0938535 1.22489i −0.00684497 0.0893341i
\(189\) −3.68233 + 1.24454i −0.267850 + 0.0905268i
\(190\) 0.253509 0.273677i 0.0183915 0.0198546i
\(191\) −10.2382 + 17.7332i −0.740813 + 1.28313i 0.211312 + 0.977419i \(0.432226\pi\)
−0.952125 + 0.305708i \(0.901107\pi\)
\(192\) −0.152515 + 13.8556i −0.0110068 + 0.999939i
\(193\) −2.37336 4.11078i −0.170838 0.295901i 0.767875 0.640600i \(-0.221314\pi\)
−0.938713 + 0.344699i \(0.887981\pi\)
\(194\) −12.7442 2.89757i −0.914981 0.208033i
\(195\) 0.623134 + 0.597050i 0.0446236 + 0.0427556i
\(196\) −11.6146 5.56937i −0.829613 0.397812i
\(197\) 6.65282 + 6.65282i 0.473994 + 0.473994i 0.903205 0.429210i \(-0.141208\pi\)
−0.429210 + 0.903205i \(0.641208\pi\)
\(198\) 9.79427 0.794927i 0.696049 0.0564930i
\(199\) 22.8401 1.61909 0.809544 0.587059i \(-0.199714\pi\)
0.809544 + 0.587059i \(0.199714\pi\)
\(200\) −5.10600 12.9145i −0.361049 0.913193i
\(201\) −13.8021 7.58003i −0.973524 0.534654i
\(202\) 11.8989 + 18.9018i 0.837201 + 1.32993i
\(203\) 4.07116 + 1.09087i 0.285740 + 0.0765637i
\(204\) 8.22350 + 21.8711i 0.575760 + 1.53128i
\(205\) 0.808971 0.216763i 0.0565010 0.0151394i
\(206\) 10.8404 11.7028i 0.755289 0.815375i
\(207\) −20.9799 + 0.897407i −1.45820 + 0.0623741i
\(208\) 5.35483 + 3.92444i 0.371291 + 0.272111i
\(209\) −1.76252 1.01759i −0.121916 0.0703881i
\(210\) −0.365092 + 0.411436i −0.0251937 + 0.0283918i
\(211\) 14.8119 + 3.96884i 1.01969 + 0.273226i 0.729674 0.683795i \(-0.239672\pi\)
0.290019 + 0.957021i \(0.406338\pi\)
\(212\) 7.46491 + 1.39951i 0.512692 + 0.0961185i
\(213\) −6.58420 + 26.8559i −0.451142 + 1.84014i
\(214\) 16.6281 + 8.77040i 1.13667 + 0.599532i
\(215\) 2.20270i 0.150223i
\(216\) −2.61429 14.4626i −0.177880 0.984052i
\(217\) 2.70918i 0.183911i
\(218\) −0.499307 + 0.946652i −0.0338174 + 0.0641153i
\(219\) −3.37277 + 13.7570i −0.227911 + 0.929614i
\(220\) 1.14765 0.785273i 0.0773749 0.0529431i
\(221\) 10.8137 + 2.89753i 0.727411 + 0.194909i
\(222\) 17.4652 + 15.4979i 1.17219 + 1.04015i
\(223\) 6.39965 + 3.69484i 0.428552 + 0.247425i 0.698730 0.715386i \(-0.253749\pi\)
−0.270178 + 0.962811i \(0.587082\pi\)
\(224\) −2.36909 + 3.50624i −0.158292 + 0.234270i
\(225\) 7.90324 + 12.4298i 0.526882 + 0.828657i
\(226\) 4.23227 + 3.92039i 0.281527 + 0.260781i
\(227\) −20.6122 + 5.52301i −1.36808 + 0.366575i −0.866776 0.498698i \(-0.833812\pi\)
−0.501301 + 0.865273i \(0.667145\pi\)
\(228\) −1.25715 + 2.77217i −0.0832569 + 0.183592i
\(229\) −17.7978 4.76891i −1.17611 0.315138i −0.382729 0.923861i \(-0.625016\pi\)
−0.793383 + 0.608722i \(0.791682\pi\)
\(230\) −2.51488 + 1.58314i −0.165827 + 0.104389i
\(231\) 2.63032 + 1.44456i 0.173063 + 0.0950450i
\(232\) −6.33619 + 14.6227i −0.415991 + 0.960027i
\(233\) −14.3249 −0.938455 −0.469228 0.883077i \(-0.655468\pi\)
−0.469228 + 0.883077i \(0.655468\pi\)
\(234\) −6.36309 3.01596i −0.415968 0.197160i
\(235\) 0.130387 + 0.130387i 0.00850548 + 0.00850548i
\(236\) 0.0164453 0.00578536i 0.00107050 0.000376595i
\(237\) 11.0769 + 10.6132i 0.719520 + 0.689401i
\(238\) −1.58202 + 6.95812i −0.102547 + 0.451028i
\(239\) −11.4921 19.9049i −0.743364 1.28754i −0.950955 0.309328i \(-0.899896\pi\)
0.207592 0.978216i \(-0.433438\pi\)
\(240\) −1.33656 1.59354i −0.0862745 0.102862i
\(241\) 10.2735 17.7943i 0.661777 1.14623i −0.318372 0.947966i \(-0.603136\pi\)
0.980148 0.198265i \(-0.0635306\pi\)
\(242\) 5.84689 + 5.41602i 0.375852 + 0.348155i
\(243\) 5.61770 + 14.5410i 0.360376 + 0.932807i
\(244\) 13.7107 15.9862i 0.877741 1.02341i
\(245\) 1.86754 0.500405i 0.119312 0.0319697i
\(246\) −5.70407 + 3.76335i −0.363678 + 0.239942i
\(247\) 0.729205 + 1.26302i 0.0463982 + 0.0803640i
\(248\) 10.1330 + 1.50132i 0.643449 + 0.0953336i
\(249\) −2.36665 + 0.0505931i −0.149980 + 0.00320621i
\(250\) 3.72130 + 1.96278i 0.235356 + 0.124137i
\(251\) 0.440838 0.440838i 0.0278255 0.0278255i −0.693057 0.720883i \(-0.743737\pi\)
0.720883 + 0.693057i \(0.243737\pi\)
\(252\) 1.76590 4.12628i 0.111241 0.259932i
\(253\) 11.4637 + 11.4637i 0.720718 + 0.720718i
\(254\) −2.41551 + 0.747298i −0.151562 + 0.0468897i
\(255\) −3.07414 1.68830i −0.192510 0.105725i
\(256\) −11.8014 10.8040i −0.737587 0.675252i
\(257\) −4.78636 + 2.76341i −0.298565 + 0.172377i −0.641798 0.766874i \(-0.721811\pi\)
0.343233 + 0.939250i \(0.388478\pi\)
\(258\) −5.67777 17.0527i −0.353482 1.06165i
\(259\) 1.84558 + 6.88781i 0.114679 + 0.427987i
\(260\) −0.993591 + 0.0761311i −0.0616199 + 0.00472145i
\(261\) 3.67311 16.4992i 0.227360 1.02128i
\(262\) 5.66435 0.216690i 0.349945 0.0133871i
\(263\) 4.83474 + 2.79134i 0.298123 + 0.172121i 0.641599 0.767040i \(-0.278271\pi\)
−0.343477 + 0.939161i \(0.611605\pi\)
\(264\) −6.86064 + 9.03758i −0.422243 + 0.556225i
\(265\) −0.987272 + 0.570002i −0.0606476 + 0.0350149i
\(266\) −0.786679 + 0.495222i −0.0482344 + 0.0303640i
\(267\) −26.5543 6.51026i −1.62510 0.398421i
\(268\) 17.1522 6.03402i 1.04773 0.368587i
\(269\) 1.66733 1.66733i 0.101659 0.101659i −0.654448 0.756107i \(-0.727099\pi\)
0.756107 + 0.654448i \(0.227099\pi\)
\(270\) 1.71111 + 1.39233i 0.104135 + 0.0847345i
\(271\) 23.2740i 1.41379i −0.707317 0.706897i \(-0.750095\pi\)
0.707317 0.706897i \(-0.249905\pi\)
\(272\) −25.1485 9.77308i −1.52485 0.592580i
\(273\) −1.11478 1.83893i −0.0674694 0.111297i
\(274\) −1.09362 0.248648i −0.0660677 0.0150214i
\(275\) 2.94326 10.9844i 0.177485 0.662384i
\(276\) 15.3887 18.7386i 0.926290 1.12793i
\(277\) 0.183461 + 0.684687i 0.0110231 + 0.0411389i 0.971218 0.238191i \(-0.0765544\pi\)
−0.960195 + 0.279330i \(0.909888\pi\)
\(278\) 25.9054 0.991010i 1.55370 0.0594368i
\(279\) −10.8551 + 0.464323i −0.649879 + 0.0277983i
\(280\) −0.0726990 0.630986i −0.00434460 0.0377087i
\(281\) −2.29162 + 3.96921i −0.136707 + 0.236783i −0.926248 0.376914i \(-0.876985\pi\)
0.789541 + 0.613697i \(0.210318\pi\)
\(282\) −1.34550 0.673324i −0.0801234 0.0400958i
\(283\) −3.75850 + 14.0269i −0.223420 + 0.833814i 0.759612 + 0.650377i \(0.225389\pi\)
−0.983031 + 0.183437i \(0.941278\pi\)
\(284\) −18.0303 26.3508i −1.06990 1.56363i
\(285\) −0.127657 0.438694i −0.00756176 0.0259860i
\(286\) 1.60677 + 5.19358i 0.0950101 + 0.307103i
\(287\) −2.08693 −0.123187
\(288\) 14.4548 + 8.89152i 0.851756 + 0.523938i
\(289\) −28.4974 −1.67632
\(290\) −0.706983 2.28520i −0.0415155 0.134191i
\(291\) −11.0740 + 11.5578i −0.649169 + 0.677531i
\(292\) −9.23608 13.4983i −0.540501 0.789927i
\(293\) −1.61879 + 6.04141i −0.0945708 + 0.352943i −0.996954 0.0779914i \(-0.975149\pi\)
0.902383 + 0.430934i \(0.141816\pi\)
\(294\) −13.1680 + 8.68780i −0.767975 + 0.506683i
\(295\) −0.00130836 + 0.00226615i −7.61760e−5 + 0.000131941i
\(296\) −26.7849 + 3.08602i −1.55684 + 0.179371i
\(297\) 5.33723 10.7867i 0.309698 0.625909i
\(298\) −18.4556 + 0.706017i −1.06910 + 0.0408985i
\(299\) −3.00687 11.2218i −0.173892 0.648972i
\(300\) −16.7802 2.77608i −0.968808 0.160277i
\(301\) 1.42059 5.30173i 0.0818817 0.305587i
\(302\) 26.0641 + 5.92603i 1.49982 + 0.341005i
\(303\) 27.3487 0.584647i 1.57114 0.0335871i
\(304\) −1.41631 3.21681i −0.0812311 0.184497i
\(305\) 3.16117i 0.181008i
\(306\) 28.1508 + 5.14629i 1.60928 + 0.294194i
\(307\) −4.52060 + 4.52060i −0.258004 + 0.258004i −0.824242 0.566238i \(-0.808398\pi\)
0.566238 + 0.824242i \(0.308398\pi\)
\(308\) −3.26876 + 1.14993i −0.186255 + 0.0655234i
\(309\) −5.45881 18.7592i −0.310541 1.06718i
\(310\) −1.30121 + 0.819126i −0.0739040 + 0.0465232i
\(311\) 10.9637 6.32992i 0.621697 0.358937i −0.155832 0.987784i \(-0.549806\pi\)
0.777529 + 0.628847i \(0.216473\pi\)
\(312\) 7.49584 3.15050i 0.424368 0.178362i
\(313\) −16.6282 9.60027i −0.939879 0.542640i −0.0499568 0.998751i \(-0.515908\pi\)
−0.889922 + 0.456112i \(0.849242\pi\)
\(314\) 13.4622 0.514995i 0.759714 0.0290628i
\(315\) 0.202014 + 0.642688i 0.0113822 + 0.0362114i
\(316\) −17.6621 + 1.35331i −0.993573 + 0.0761297i
\(317\) −2.96978 11.0834i −0.166800 0.622504i −0.997804 0.0662384i \(-0.978900\pi\)
0.831004 0.556266i \(-0.187766\pi\)
\(318\) 6.17390 6.95760i 0.346215 0.390163i
\(319\) −11.3016 + 6.52497i −0.632767 + 0.365328i
\(320\) 2.40034 + 0.0777534i 0.134183 + 0.00434655i
\(321\) 19.6890 11.9357i 1.09893 0.666185i
\(322\) 7.07414 2.18857i 0.394227 0.121964i
\(323\) −4.19102 4.19102i −0.233194 0.233194i
\(324\) −16.8358 6.36837i −0.935322 0.353798i
\(325\) −5.76228 + 5.76228i −0.319634 + 0.319634i
\(326\) −11.0557 5.83131i −0.612321 0.322966i
\(327\) 0.679510 + 1.12092i 0.0375770 + 0.0619868i
\(328\) 1.15649 7.80564i 0.0638563 0.430995i
\(329\) −0.229740 0.397921i −0.0126660 0.0219381i
\(330\) −0.101464 1.70010i −0.00558544 0.0935877i
\(331\) −18.9865 + 5.08741i −1.04359 + 0.279630i −0.739601 0.673045i \(-0.764986\pi\)
−0.303991 + 0.952675i \(0.598319\pi\)
\(332\) 1.77949 2.07482i 0.0976623 0.113870i
\(333\) 27.2816 8.57534i 1.49502 0.469926i
\(334\) 9.54116 + 8.83806i 0.522069 + 0.483597i
\(335\) −1.36460 + 2.36356i −0.0745561 + 0.129135i
\(336\) 2.18927 + 4.69751i 0.119434 + 0.256270i
\(337\) 4.99010 + 8.64310i 0.271828 + 0.470820i 0.969330 0.245763i \(-0.0790385\pi\)
−0.697502 + 0.716583i \(0.745705\pi\)
\(338\) −3.21229 + 14.1284i −0.174726 + 0.768486i
\(339\) 6.78418 1.97415i 0.368466 0.107221i
\(340\) 3.82030 1.34396i 0.207185 0.0728863i
\(341\) 5.93139 + 5.93139i 0.321203 + 0.321203i
\(342\) 2.11907 + 3.06718i 0.114586 + 0.165854i
\(343\) −10.0541 −0.542868
\(344\) 19.0426 + 8.25139i 1.02671 + 0.444885i
\(345\) 0.0777873 + 3.63874i 0.00418793 + 0.195903i
\(346\) −9.50512 + 5.98356i −0.510998 + 0.321678i
\(347\) −6.76074 1.81153i −0.362935 0.0972483i 0.0727428 0.997351i \(-0.476825\pi\)
−0.435678 + 0.900102i \(0.643491\pi\)
\(348\) 11.3636 + 15.8689i 0.609155 + 0.850664i
\(349\) 19.5231 5.23119i 1.04505 0.280019i 0.304843 0.952403i \(-0.401396\pi\)
0.740203 + 0.672383i \(0.234729\pi\)
\(350\) −3.81053 3.52973i −0.203682 0.188672i
\(351\) −7.17714 + 4.78185i −0.383087 + 0.255236i
\(352\) −2.48963 12.8633i −0.132698 0.685614i
\(353\) 8.37682 + 4.83636i 0.445853 + 0.257414i 0.706077 0.708135i \(-0.250463\pi\)
−0.260224 + 0.965548i \(0.583796\pi\)
\(354\) 0.00428764 0.0209164i 0.000227885 0.00111169i
\(355\) 4.62923 + 1.24040i 0.245694 + 0.0658335i
\(356\) 26.0549 17.8278i 1.38091 0.944873i
\(357\) 6.31037 + 6.04621i 0.333980 + 0.319999i
\(358\) −7.45930 + 14.1423i −0.394236 + 0.747444i
\(359\) 0.846908i 0.0446981i 0.999750 + 0.0223491i \(0.00711452\pi\)
−0.999750 + 0.0223491i \(0.992885\pi\)
\(360\) −2.51577 + 0.399433i −0.132593 + 0.0210520i
\(361\) 18.2279i 0.959362i
\(362\) 25.6987 + 13.5547i 1.35069 + 0.712417i
\(363\) 9.37235 2.72729i 0.491921 0.143146i
\(364\) 2.44059 + 0.457558i 0.127922 + 0.0239825i
\(365\) 2.37134 + 0.635398i 0.124121 + 0.0332582i
\(366\) −8.14834 24.4728i −0.425921 1.27921i
\(367\) 15.5960 + 9.00434i 0.814103 + 0.470023i 0.848379 0.529390i \(-0.177579\pi\)
−0.0342756 + 0.999412i \(0.510912\pi\)
\(368\) 4.26561 + 27.6719i 0.222360 + 1.44250i
\(369\) 0.357676 + 8.36187i 0.0186199 + 0.435301i
\(370\) 2.75018 2.96897i 0.142975 0.154349i
\(371\) 2.74390 0.735225i 0.142456 0.0381710i
\(372\) 7.96219 9.69548i 0.412820 0.502687i
\(373\) −18.7086 5.01296i −0.968696 0.259561i −0.260419 0.965496i \(-0.583861\pi\)
−0.708277 + 0.705934i \(0.750527\pi\)
\(374\) −11.7702 18.6975i −0.608625 0.966825i
\(375\) 4.40633 2.67116i 0.227542 0.137938i
\(376\) 1.61564 0.638774i 0.0833202 0.0329423i
\(377\) 9.35158 0.481631
\(378\) −3.22054 4.45477i −0.165647 0.229129i
\(379\) 7.14922 + 7.14922i 0.367231 + 0.367231i 0.866466 0.499235i \(-0.166386\pi\)
−0.499235 + 0.866466i \(0.666386\pi\)
\(380\) 0.475708 + 0.228109i 0.0244033 + 0.0117018i
\(381\) −0.737378 + 3.00765i −0.0377770 + 0.154087i
\(382\) −28.2375 6.42017i −1.44475 0.328485i
\(383\) −3.80911 6.59757i −0.194636 0.337120i 0.752145 0.658998i \(-0.229019\pi\)
−0.946781 + 0.321878i \(0.895686\pi\)
\(384\) −18.7831 + 5.58525i −0.958521 + 0.285021i
\(385\) 0.260058 0.450434i 0.0132538 0.0229562i
\(386\) 4.56180 4.92471i 0.232190 0.250661i
\(387\) −21.4864 4.78336i −1.09221 0.243152i
\(388\) −1.41207 18.4290i −0.0716869 0.935591i
\(389\) −1.55794 + 0.417448i −0.0789905 + 0.0211654i −0.298098 0.954535i \(-0.596352\pi\)
0.219107 + 0.975701i \(0.429686\pi\)
\(390\) −0.546179 + 1.09143i −0.0276569 + 0.0552667i
\(391\) 23.6071 + 40.8887i 1.19386 + 2.06783i
\(392\) 2.66979 18.0196i 0.134845 0.910126i
\(393\) 3.34194 6.08516i 0.168578 0.306956i
\(394\) −6.20747 + 11.7689i −0.312728 + 0.592910i
\(395\) 1.88010 1.88010i 0.0945979 0.0945979i
\(396\) 5.16775 + 12.9001i 0.259689 + 0.648257i
\(397\) −20.8968 20.8968i −1.04878 1.04878i −0.998748 0.0500326i \(-0.984067\pi\)
−0.0500326 0.998748i \(-0.515933\pi\)
\(398\) 9.54662 + 30.8577i 0.478529 + 1.54676i
\(399\) 0.0243326 + 1.13823i 0.00121815 + 0.0569829i
\(400\) 15.3137 12.2963i 0.765687 0.614817i
\(401\) −16.6619 + 9.61977i −0.832057 + 0.480388i −0.854557 0.519358i \(-0.826171\pi\)
0.0224993 + 0.999747i \(0.492838\pi\)
\(402\) 4.47193 21.8154i 0.223040 1.08805i
\(403\) −1.55577 5.80621i −0.0774983 0.289228i
\(404\) −20.5636 + 23.9763i −1.02307 + 1.19286i
\(405\) 2.54049 0.919576i 0.126238 0.0456941i
\(406\) 0.227856 + 5.95624i 0.0113083 + 0.295603i
\(407\) −19.1206 11.0393i −0.947772 0.547196i
\(408\) −26.1113 + 20.2518i −1.29270 + 1.00262i
\(409\) 4.69044 2.70803i 0.231928 0.133903i −0.379533 0.925178i \(-0.623915\pi\)
0.611461 + 0.791275i \(0.290582\pi\)
\(410\) 0.630986 + 1.00235i 0.0311622 + 0.0495024i
\(411\) −0.950290 + 0.991807i −0.0468743 + 0.0489222i
\(412\) 20.3420 + 9.75430i 1.00218 + 0.480560i
\(413\) 0.00461065 0.00461065i 0.000226875 0.000226875i
\(414\) −9.98154 27.9695i −0.490566 1.37463i
\(415\) 0.410282i 0.0201400i
\(416\) −3.06386 + 8.87489i −0.150218 + 0.435128i
\(417\) 15.2840 27.8299i 0.748463 1.36284i
\(418\) 0.638108 2.80655i 0.0312109 0.137273i
\(419\) 1.74346 6.50669i 0.0851738 0.317873i −0.910173 0.414228i \(-0.864052\pi\)
0.995347 + 0.0963549i \(0.0307184\pi\)
\(420\) −0.708465 0.321281i −0.0345695 0.0156769i
\(421\) 5.09689 + 19.0218i 0.248407 + 0.927068i 0.971640 + 0.236464i \(0.0759886\pi\)
−0.723233 + 0.690604i \(0.757345\pi\)
\(422\) 0.828996 + 21.6703i 0.0403549 + 1.05489i
\(423\) −1.55501 + 0.988716i −0.0756071 + 0.0480730i
\(424\) 1.22938 + 10.6703i 0.0597039 + 0.518196i
\(425\) 16.5590 28.6810i 0.803230 1.39124i
\(426\) −39.0354 + 2.32968i −1.89127 + 0.112873i
\(427\) 2.03874 7.60869i 0.0986616 0.368210i
\(428\) −4.89897 + 26.1309i −0.236801 + 1.26308i
\(429\) 6.46675 + 1.58544i 0.312218 + 0.0765456i
\(430\) −2.97593 + 0.920679i −0.143512 + 0.0443991i
\(431\) 22.9770 1.10676 0.553380 0.832929i \(-0.313338\pi\)
0.553380 + 0.832929i \(0.313338\pi\)
\(432\) 18.4467 9.57702i 0.887517 0.460774i
\(433\) −9.38876 −0.451195 −0.225598 0.974221i \(-0.572433\pi\)
−0.225598 + 0.974221i \(0.572433\pi\)
\(434\) 3.66020 1.13238i 0.175695 0.0543558i
\(435\) −2.84540 0.697598i −0.136426 0.0334473i
\(436\) −1.48766 0.278903i −0.0712459 0.0133570i
\(437\) −1.59190 + 5.94106i −0.0761510 + 0.284199i
\(438\) −19.9960 + 1.19339i −0.955445 + 0.0570222i
\(439\) −2.64587 + 4.58278i −0.126281 + 0.218724i −0.922233 0.386635i \(-0.873637\pi\)
0.795952 + 0.605359i \(0.206971\pi\)
\(440\) 1.54063 + 1.22230i 0.0734464 + 0.0582707i
\(441\) 0.825706 + 19.3036i 0.0393193 + 0.919220i
\(442\) 0.605226 + 15.8208i 0.0287877 + 0.752521i
\(443\) 5.57188 + 20.7945i 0.264728 + 0.987978i 0.962417 + 0.271577i \(0.0875452\pi\)
−0.697689 + 0.716401i \(0.745788\pi\)
\(444\) −13.6381 + 30.0738i −0.647238 + 1.42724i
\(445\) −1.22647 + 4.57724i −0.0581402 + 0.216982i
\(446\) −2.31695 + 10.1905i −0.109711 + 0.482534i
\(447\) −10.8887 + 19.8267i −0.515017 + 0.937769i
\(448\) −5.72728 1.73520i −0.270588 0.0819806i
\(449\) 22.9162i 1.08148i 0.841189 + 0.540742i \(0.181856\pi\)
−0.841189 + 0.540742i \(0.818144\pi\)
\(450\) −13.4898 + 15.8729i −0.635915 + 0.748258i
\(451\) 4.56905 4.56905i 0.215148 0.215148i
\(452\) −3.52759 + 7.35658i −0.165924 + 0.346024i
\(453\) 22.6482 23.6377i 1.06411 1.11060i
\(454\) −16.0772 25.5393i −0.754540 1.19862i
\(455\) −0.322781 + 0.186358i −0.0151322 + 0.00873658i
\(456\) −4.27076 0.539750i −0.199997 0.0252761i
\(457\) −2.67987 1.54723i −0.125359 0.0723761i 0.436009 0.899942i \(-0.356392\pi\)
−0.561368 + 0.827566i \(0.689725\pi\)
\(458\) −0.996112 26.0388i −0.0465453 1.21671i
\(459\) 23.1443 26.3205i 1.08029 1.22854i
\(460\) −3.19004 2.73598i −0.148737 0.127566i
\(461\) 0.410957 + 1.53371i 0.0191402 + 0.0714320i 0.974835 0.222926i \(-0.0715608\pi\)
−0.955695 + 0.294358i \(0.904894\pi\)
\(462\) −0.852235 + 4.15745i −0.0396496 + 0.193422i
\(463\) 0.0991508 0.0572447i 0.00460793 0.00266039i −0.497694 0.867353i \(-0.665820\pi\)
0.502302 + 0.864692i \(0.332487\pi\)
\(464\) −22.4041 2.44846i −1.04009 0.113667i
\(465\) 0.0402475 + 1.88270i 0.00186644 + 0.0873082i
\(466\) −5.98748 19.3534i −0.277365 0.896531i
\(467\) −0.325359 0.325359i −0.0150558 0.0150558i 0.699539 0.714595i \(-0.253389\pi\)
−0.714595 + 0.699539i \(0.753389\pi\)
\(468\) 1.41505 9.85736i 0.0654105 0.455657i
\(469\) 4.80882 4.80882i 0.222051 0.222051i
\(470\) −0.121658 + 0.230655i −0.00561168 + 0.0106393i
\(471\) 7.94260 14.4623i 0.365976 0.666387i
\(472\) 0.0146900 + 0.0198000i 0.000676161 + 0.000911371i
\(473\) 8.49723 + 14.7176i 0.390703 + 0.676718i
\(474\) −9.70892 + 19.4013i −0.445945 + 0.891132i
\(475\) 4.16731 1.11663i 0.191209 0.0512344i
\(476\) −10.0619 + 0.770965i −0.461187 + 0.0353371i
\(477\) −3.41616 10.8682i −0.156415 0.497621i
\(478\) 22.0888 23.8461i 1.01032 1.09069i
\(479\) 9.17908 15.8986i 0.419403 0.726427i −0.576476 0.817114i \(-0.695573\pi\)
0.995879 + 0.0906864i \(0.0289061\pi\)
\(480\) 1.59428 2.47180i 0.0727684 0.112822i
\(481\) 7.91075 + 13.7018i 0.360699 + 0.624749i
\(482\) 28.3348 + 6.44230i 1.29061 + 0.293439i
\(483\) 2.15951 8.80832i 0.0982612 0.400793i
\(484\) −4.87337 + 10.1631i −0.221517 + 0.461960i
\(485\) 1.96173 + 1.96173i 0.0890774 + 0.0890774i
\(486\) −17.2974 + 13.6675i −0.784624 + 0.619972i
\(487\) −24.8691 −1.12693 −0.563464 0.826140i \(-0.690532\pi\)
−0.563464 + 0.826140i \(0.690532\pi\)
\(488\) 27.3287 + 11.8418i 1.23711 + 0.536055i
\(489\) −13.0909 + 7.93586i −0.591993 + 0.358872i
\(490\) 1.45665 + 2.31395i 0.0658048 + 0.104534i
\(491\) 0.201003 + 0.0538587i 0.00907115 + 0.00243061i 0.263352 0.964700i \(-0.415172\pi\)
−0.254281 + 0.967130i \(0.581839\pi\)
\(492\) −7.46858 6.13340i −0.336710 0.276515i
\(493\) −36.7100 + 9.83640i −1.65333 + 0.443009i
\(494\) −1.40159 + 1.51309i −0.0630607 + 0.0680773i
\(495\) −1.84936 0.964797i −0.0831226 0.0433644i
\(496\) 2.20705 + 14.3176i 0.0990994 + 0.642880i
\(497\) −10.3422 5.97108i −0.463912 0.267840i
\(498\) −1.05756 3.17628i −0.0473903 0.142332i
\(499\) 34.2394 + 9.17443i 1.53277 + 0.410704i 0.923921 0.382584i \(-0.124966\pi\)
0.608847 + 0.793288i \(0.291632\pi\)
\(500\) −1.09637 + 5.84800i −0.0490312 + 0.261531i
\(501\) 15.2941 4.45050i 0.683292 0.198833i
\(502\) 0.779848 + 0.411328i 0.0348063 + 0.0183584i
\(503\) 39.4177i 1.75755i −0.477239 0.878773i \(-0.658362\pi\)
0.477239 0.878773i \(-0.341638\pi\)
\(504\) 6.31286 + 0.661096i 0.281197 + 0.0294476i
\(505\) 4.74117i 0.210979i
\(506\) −10.6963 + 20.2795i −0.475509 + 0.901532i
\(507\) 12.8132 + 12.2768i 0.569053 + 0.545232i
\(508\) −2.01925 2.95108i −0.0895898 0.130933i
\(509\) −38.2137 10.2393i −1.69379 0.453850i −0.722427 0.691447i \(-0.756973\pi\)
−0.971364 + 0.237598i \(0.923640\pi\)
\(510\) 0.996032 4.85894i 0.0441051 0.215157i
\(511\) −5.29783 3.05870i −0.234362 0.135309i
\(512\) 9.66392 20.4599i 0.427089 0.904210i
\(513\) 4.55648 0.292576i 0.201173 0.0129175i
\(514\) −5.73405 5.31150i −0.252918 0.234280i
\(515\) −3.27084 + 0.876418i −0.144130 + 0.0386196i
\(516\) 20.6656 14.7985i 0.909750 0.651466i
\(517\) 1.37418 + 0.368210i 0.0604363 + 0.0161939i
\(518\) −8.53425 + 5.37239i −0.374974 + 0.236049i
\(519\) 0.294001 + 13.7528i 0.0129052 + 0.603680i
\(520\) −0.518154 1.31056i −0.0227226 0.0574717i
\(521\) 21.5152 0.942596 0.471298 0.881974i \(-0.343786\pi\)
0.471298 + 0.881974i \(0.343786\pi\)
\(522\) 23.8263 1.93380i 1.04285 0.0846402i
\(523\) 18.8248 + 18.8248i 0.823149 + 0.823149i 0.986558 0.163409i \(-0.0522490\pi\)
−0.163409 + 0.986558i \(0.552249\pi\)
\(524\) 2.66032 + 7.56216i 0.116217 + 0.330355i
\(525\) −6.10815 + 1.77743i −0.266581 + 0.0775735i
\(526\) −1.75038 + 7.69861i −0.0763204 + 0.335675i
\(527\) 12.2144 + 21.1560i 0.532069 + 0.921571i
\(528\) −15.0777 5.49147i −0.656172 0.238985i
\(529\) 12.9979 22.5130i 0.565125 0.978825i
\(530\) −1.18275 1.09559i −0.0513753 0.0475894i
\(531\) −0.0192641 0.0176837i −0.000835990 0.000767405i
\(532\) −0.997876 0.855840i −0.0432634 0.0371054i
\(533\) −4.47261 + 1.19843i −0.193730 + 0.0519099i
\(534\) −2.30352 38.5970i −0.0996830 1.67025i
\(535\) −1.99529 3.45594i −0.0862639 0.149413i
\(536\) 15.3214 + 20.6511i 0.661783 + 0.891991i
\(537\) 10.1514 + 16.7457i 0.438065 + 0.722630i
\(538\) 2.94953 + 1.55572i 0.127163 + 0.0670717i
\(539\) 10.5478 10.5478i 0.454325 0.454325i
\(540\) −1.16588 + 2.89373i −0.0501715 + 0.124526i
\(541\) 17.5988 + 17.5988i 0.756630 + 0.756630i 0.975707 0.219078i \(-0.0703048\pi\)
−0.219078 + 0.975707i \(0.570305\pi\)
\(542\) 31.4440 9.72799i 1.35063 0.417853i
\(543\) 30.4294 18.4466i 1.30585 0.791620i
\(544\) 2.69228 38.0614i 0.115431 1.63187i
\(545\) 0.196750 0.113594i 0.00842786 0.00486583i
\(546\) 2.01851 2.27473i 0.0863842 0.0973496i
\(547\) −7.80612 29.1328i −0.333765 1.24563i −0.905201 0.424983i \(-0.860280\pi\)
0.571436 0.820647i \(-0.306387\pi\)
\(548\) −0.121173 1.58144i −0.00517627 0.0675559i
\(549\) −30.8358 6.86476i −1.31604 0.292981i
\(550\) 16.0705 0.614778i 0.685249 0.0262142i
\(551\) −4.28764 2.47547i −0.182660 0.105459i
\(552\) 31.7487 + 12.9583i 1.35131 + 0.551544i
\(553\) −5.73777 + 3.31270i −0.243995 + 0.140871i
\(554\) −0.848354 + 0.534046i −0.0360431 + 0.0226895i
\(555\) −1.38488 4.75915i −0.0587850 0.202015i
\(556\) 12.1667 + 34.5849i 0.515985 + 1.46673i
\(557\) −25.0618 + 25.0618i −1.06190 + 1.06190i −0.0639497 + 0.997953i \(0.520370\pi\)
−0.997953 + 0.0639497i \(0.979630\pi\)
\(558\) −5.16450 14.4716i −0.218631 0.612630i
\(559\) 12.1782i 0.515084i
\(560\) 0.822098 0.361957i 0.0347400 0.0152955i
\(561\) −27.0531 + 0.578328i −1.14218 + 0.0244170i
\(562\) −6.32039 1.43703i −0.266609 0.0606173i
\(563\) 3.71859 13.8780i 0.156720 0.584886i −0.842232 0.539115i \(-0.818759\pi\)
0.998952 0.0457710i \(-0.0145745\pi\)
\(564\) 0.347295 2.09925i 0.0146238 0.0883945i
\(565\) −0.316952 1.18288i −0.0133343 0.0497642i
\(566\) −20.5218 + 0.785063i −0.862597 + 0.0329986i
\(567\) −6.70782 + 0.574901i −0.281702 + 0.0241436i
\(568\) 28.0646 35.3736i 1.17756 1.48424i
\(569\) −14.1987 + 24.5928i −0.595239 + 1.03098i 0.398274 + 0.917267i \(0.369609\pi\)
−0.993513 + 0.113718i \(0.963724\pi\)
\(570\) 0.539333 0.355833i 0.0225902 0.0149042i
\(571\) 4.64190 17.3238i 0.194257 0.724978i −0.798201 0.602392i \(-0.794214\pi\)
0.992458 0.122586i \(-0.0391188\pi\)
\(572\) −6.34512 + 4.34159i −0.265303 + 0.181531i
\(573\) −24.5368 + 25.6087i −1.02504 + 1.06982i
\(574\) −0.872287 2.81951i −0.0364086 0.117684i
\(575\) −34.3677 −1.43323
\(576\) −5.97099 + 23.2454i −0.248791 + 0.968557i
\(577\) −10.1199 −0.421295 −0.210648 0.977562i \(-0.567557\pi\)
−0.210648 + 0.977562i \(0.567557\pi\)
\(578\) −11.9113 38.5010i −0.495444 1.60143i
\(579\) −2.29714 7.89413i −0.0954660 0.328069i
\(580\) 2.79188 1.91032i 0.115926 0.0793217i
\(581\) 0.264604 0.987517i 0.0109776 0.0409691i
\(582\) −20.2437 10.1305i −0.839128 0.419921i
\(583\) −4.39772 + 7.61707i −0.182135 + 0.315467i
\(584\) 14.3762 18.1202i 0.594890 0.749821i
\(585\) 0.802016 + 1.26137i 0.0331593 + 0.0521514i
\(586\) −8.83878 + 0.338127i −0.365127 + 0.0139679i
\(587\) −5.60833 20.9306i −0.231480 0.863897i −0.979704 0.200450i \(-0.935760\pi\)
0.748224 0.663447i \(-0.230907\pi\)
\(588\) −17.2415 14.1592i −0.711025 0.583914i
\(589\) −0.823658 + 3.07394i −0.0339383 + 0.126659i
\(590\) −0.00360852 0.000820446i −0.000148560 3.37772e-5i
\(591\) 8.44778 + 13.9354i 0.347495 + 0.573226i
\(592\) −15.3648 34.8975i −0.631489 1.43428i
\(593\) 20.8755i 0.857256i −0.903481 0.428628i \(-0.858997\pi\)
0.903481 0.428628i \(-0.141003\pi\)
\(594\) 16.8041 + 2.70218i 0.689480 + 0.110872i
\(595\) 1.07107 1.07107i 0.0439095 0.0439095i
\(596\) −8.66786 24.6390i −0.355049 1.00925i
\(597\) 38.4223 + 9.41988i 1.57252 + 0.385530i
\(598\) 13.9042 8.75282i 0.568585 0.357930i
\(599\) −9.64766 + 5.57008i −0.394193 + 0.227587i −0.683975 0.729505i \(-0.739750\pi\)
0.289782 + 0.957093i \(0.406417\pi\)
\(600\) −3.26317 23.8310i −0.133218 0.972898i
\(601\) −21.0323 12.1430i −0.857927 0.495324i 0.00539080 0.999985i \(-0.498284\pi\)
−0.863317 + 0.504661i \(0.831617\pi\)
\(602\) 7.75660 0.296729i 0.316135 0.0120938i
\(603\) −20.0921 18.4437i −0.818213 0.751087i
\(604\) 2.88792 + 37.6905i 0.117508 + 1.53360i
\(605\) −0.437870 1.63415i −0.0178019 0.0664377i
\(606\) 12.2210 + 36.7046i 0.496444 + 1.49102i
\(607\) −23.4924 + 13.5633i −0.953525 + 0.550518i −0.894174 0.447719i \(-0.852236\pi\)
−0.0593510 + 0.998237i \(0.518903\pi\)
\(608\) 3.75404 3.25804i 0.152247 0.132131i
\(609\) 6.39874 + 3.51415i 0.259290 + 0.142401i
\(610\) −4.27085 + 1.32130i −0.172922 + 0.0534977i
\(611\) −0.720877 0.720877i −0.0291636 0.0291636i
\(612\) 4.81359 + 40.1838i 0.194578 + 1.62433i
\(613\) −25.5272 + 25.5272i −1.03103 + 1.03103i −0.0315305 + 0.999503i \(0.510038\pi\)
−0.999503 + 0.0315305i \(0.989962\pi\)
\(614\) −7.99700 4.21798i −0.322733 0.170224i
\(615\) 1.45028 0.0310033i 0.0584808 0.00125017i
\(616\) −2.91986 3.93557i −0.117645 0.158569i
\(617\) 3.82807 + 6.63041i 0.154112 + 0.266930i 0.932735 0.360562i \(-0.117415\pi\)
−0.778623 + 0.627492i \(0.784082\pi\)
\(618\) 23.0627 15.2160i 0.927718 0.612076i
\(619\) 31.4778 8.43446i 1.26520 0.339009i 0.437010 0.899457i \(-0.356037\pi\)
0.828190 + 0.560447i \(0.189371\pi\)
\(620\) −1.65055 1.41561i −0.0662875 0.0568523i
\(621\) −35.6632 7.14306i −1.43111 0.286641i
\(622\) 13.1345 + 12.1666i 0.526647 + 0.487838i
\(623\) 5.90402 10.2261i 0.236540 0.409699i
\(624\) 7.38952 + 8.81030i 0.295818 + 0.352694i
\(625\) 11.8282 + 20.4870i 0.473126 + 0.819479i
\(626\) 6.02012 26.4779i 0.240612 1.05827i
\(627\) −2.54528 2.43873i −0.101649 0.0973936i
\(628\) 6.32265 + 17.9726i 0.252301 + 0.717185i
\(629\) −45.4661 45.4661i −1.81285 1.81285i
\(630\) −0.783857 + 0.541557i −0.0312296 + 0.0215761i
\(631\) −20.5675 −0.818781 −0.409390 0.912359i \(-0.634259\pi\)
−0.409390 + 0.912359i \(0.634259\pi\)
\(632\) −9.21074 23.2965i −0.366383 0.926686i
\(633\) 23.2802 + 12.7853i 0.925304 + 0.508172i
\(634\) 13.7327 8.64488i 0.545396 0.343332i
\(635\) 0.518437 + 0.138915i 0.0205735 + 0.00551266i
\(636\) 11.9805 + 5.43303i 0.475058 + 0.215434i
\(637\) −10.3252 + 2.76662i −0.409098 + 0.109617i
\(638\) −13.5393 12.5415i −0.536024 0.496524i
\(639\) −22.1523 + 42.4624i −0.876331 + 1.67979i
\(640\) 0.898239 + 3.27544i 0.0355060 + 0.129473i
\(641\) 12.3382 + 7.12347i 0.487330 + 0.281360i 0.723466 0.690360i \(-0.242548\pi\)
−0.236136 + 0.971720i \(0.575881\pi\)
\(642\) 24.3551 + 21.6117i 0.961218 + 0.852946i
\(643\) −11.5700 3.10018i −0.456277 0.122259i 0.0233581 0.999727i \(-0.492564\pi\)
−0.479635 + 0.877468i \(0.659231\pi\)
\(644\) 5.91366 + 8.64265i 0.233031 + 0.340568i
\(645\) −0.908457 + 3.70546i −0.0357705 + 0.145902i
\(646\) 3.91046 7.41396i 0.153855 0.291698i
\(647\) 3.24662i 0.127638i 0.997961 + 0.0638189i \(0.0203280\pi\)
−0.997961 + 0.0638189i \(0.979672\pi\)
\(648\) 1.56692 25.4076i 0.0615543 0.998104i
\(649\) 0.0201888i 0.000792479i
\(650\) −10.1935 5.37654i −0.399824 0.210885i
\(651\) 1.11734 4.55747i 0.0437921 0.178621i
\(652\) 3.25725 17.3741i 0.127564 0.680421i
\(653\) −0.0969809 0.0259859i −0.00379516 0.00101691i 0.256921 0.966432i \(-0.417292\pi\)
−0.260716 + 0.965416i \(0.583959\pi\)
\(654\) −1.23038 + 1.38656i −0.0481115 + 0.0542187i
\(655\) −1.04206 0.601635i −0.0407167 0.0235078i
\(656\) 11.0291 1.70012i 0.430613 0.0663787i
\(657\) −11.3476 + 21.7515i −0.442711 + 0.848606i
\(658\) 0.441579 0.476708i 0.0172145 0.0185840i
\(659\) 18.4436 4.94194i 0.718459 0.192511i 0.118975 0.992897i \(-0.462039\pi\)
0.599484 + 0.800387i \(0.295372\pi\)
\(660\) 2.25449 0.847686i 0.0877559 0.0329961i
\(661\) 26.6109 + 7.13036i 1.03504 + 0.277339i 0.736058 0.676919i \(-0.236685\pi\)
0.298985 + 0.954258i \(0.403352\pi\)
\(662\) −14.8092 23.5250i −0.575575 0.914325i
\(663\) 16.9962 + 9.33421i 0.660077 + 0.362511i
\(664\) 3.54694 + 1.53693i 0.137648 + 0.0596444i
\(665\) 0.197324 0.00765189
\(666\) 22.9887 + 33.2742i 0.890793 + 1.28935i
\(667\) 27.8876 + 27.8876i 1.07981 + 1.07981i
\(668\) −7.95255 + 16.5845i −0.307693 + 0.641675i
\(669\) 9.24183 + 8.85497i 0.357310 + 0.342353i
\(670\) −3.76362 0.855711i −0.145401 0.0330590i
\(671\) 12.1947 + 21.1218i 0.470769 + 0.815396i
\(672\) −5.43144 + 4.92123i −0.209522 + 0.189840i
\(673\) 21.3890 37.0468i 0.824484 1.42805i −0.0778289 0.996967i \(-0.524799\pi\)
0.902313 0.431082i \(-0.141868\pi\)
\(674\) −9.59139 + 10.3544i −0.369446 + 0.398837i
\(675\) 8.16865 + 24.1694i 0.314412 + 0.930281i
\(676\) −20.4307 + 1.56544i −0.785795 + 0.0602093i
\(677\) 7.49190 2.00745i 0.287937 0.0771525i −0.111960 0.993713i \(-0.535713\pi\)
0.399897 + 0.916560i \(0.369046\pi\)
\(678\) 5.50278 + 8.34051i 0.211333 + 0.320316i
\(679\) −3.45654 5.98690i −0.132650 0.229756i
\(680\) 3.41253 + 4.59961i 0.130865 + 0.176387i
\(681\) −36.9523 + 0.789949i −1.41601 + 0.0302709i
\(682\) −5.53433 + 10.4927i −0.211921 + 0.401786i
\(683\) −31.9083 + 31.9083i −1.22094 + 1.22094i −0.253637 + 0.967299i \(0.581627\pi\)
−0.967299 + 0.253637i \(0.918373\pi\)
\(684\) −3.25814 + 4.14495i −0.124578 + 0.158486i
\(685\) 0.168341 + 0.168341i 0.00643198 + 0.00643198i
\(686\) −4.20236 13.5834i −0.160447 0.518616i
\(687\) −27.9732 15.3627i −1.06724 0.586125i
\(688\) −3.18854 + 29.1761i −0.121562 + 1.11233i
\(689\) 5.45840 3.15141i 0.207948 0.120059i
\(690\) −4.88355 + 1.62600i −0.185914 + 0.0619009i
\(691\) −7.81032 29.1485i −0.297118 1.10886i −0.939520 0.342493i \(-0.888729\pi\)
0.642402 0.766368i \(-0.277938\pi\)
\(692\) −12.0569 10.3408i −0.458335 0.393097i
\(693\) 3.82904 + 3.51490i 0.145453 + 0.133520i
\(694\) −0.378387 9.89117i −0.0143634 0.375464i
\(695\) −4.76578 2.75152i −0.180776 0.104371i
\(696\) −16.6897 + 21.9855i −0.632623 + 0.833359i
\(697\) 16.2968 9.40898i 0.617286 0.356390i
\(698\) 15.2277 + 24.1898i 0.576378 + 0.915599i
\(699\) −24.0978 5.90799i −0.911462 0.223461i
\(700\) 3.17607 6.62351i 0.120044 0.250345i
\(701\) 6.92803 6.92803i 0.261668 0.261668i −0.564063 0.825732i \(-0.690763\pi\)
0.825732 + 0.564063i \(0.190763\pi\)
\(702\) −9.46032 7.69786i −0.357057 0.290537i
\(703\) 8.37625i 0.315916i
\(704\) 16.3381 8.74012i 0.615765 0.329406i
\(705\) 0.165565 + 0.273116i 0.00623555 + 0.0102861i
\(706\) −3.03277 + 13.3389i −0.114140 + 0.502015i
\(707\) −3.05773 + 11.4116i −0.114998 + 0.429178i
\(708\) 0.0300509 0.00294981i 0.00112938 0.000110860i
\(709\) 3.97247 + 14.8255i 0.149189 + 0.556782i 0.999533 + 0.0305546i \(0.00972734\pi\)
−0.850344 + 0.526228i \(0.823606\pi\)
\(710\) 0.259090 + 6.77271i 0.00972347 + 0.254175i
\(711\) 14.2567 + 22.4223i 0.534668 + 0.840901i
\(712\) 34.9764 + 27.7494i 1.31079 + 1.03995i
\(713\) 12.6753 21.9543i 0.474695 0.822195i
\(714\) −5.53106 + 11.0527i −0.206995 + 0.413637i
\(715\) 0.298680 1.11469i 0.0111700 0.0416871i
\(716\) −22.2246 4.16662i −0.830571 0.155714i
\(717\) −11.1231 38.2244i −0.415398 1.42752i
\(718\) −1.14420 + 0.353988i −0.0427013 + 0.0132107i
\(719\) 6.93438 0.258609 0.129304 0.991605i \(-0.458726\pi\)
0.129304 + 0.991605i \(0.458726\pi\)
\(720\) −1.59118 3.23194i −0.0592998 0.120447i
\(721\) 8.43787 0.314243
\(722\) −24.6265 + 7.61884i −0.916504 + 0.283544i
\(723\) 24.6213 25.6970i 0.915677 0.955682i
\(724\) −7.57137 + 40.3854i −0.281388 + 1.50091i
\(725\) 7.16001 26.7215i 0.265916 0.992412i
\(726\) 7.60210 + 11.5224i 0.282140 + 0.427637i
\(727\) −7.03023 + 12.1767i −0.260737 + 0.451610i −0.966438 0.256900i \(-0.917299\pi\)
0.705701 + 0.708510i \(0.250632\pi\)
\(728\) 0.401936 + 3.48858i 0.0148967 + 0.129295i
\(729\) 3.45315 + 26.7783i 0.127894 + 0.991788i
\(730\) 0.132720 + 3.46934i 0.00491217 + 0.128406i
\(731\) 12.8096 + 47.8061i 0.473780 + 1.76817i
\(732\) 29.6578 21.2378i 1.09618 0.784971i
\(733\) −0.0626936 + 0.233976i −0.00231564 + 0.00864209i −0.967074 0.254495i \(-0.918091\pi\)
0.964758 + 0.263138i \(0.0847573\pi\)
\(734\) −5.64642 + 24.8343i −0.208413 + 0.916651i
\(735\) 3.34801 0.0715722i 0.123493 0.00263998i
\(736\) −35.6028 + 17.3292i −1.31234 + 0.638763i
\(737\) 21.0565i 0.775627i
\(738\) −11.1477 + 3.97830i −0.410352 + 0.146443i
\(739\) −6.77417 + 6.77417i −0.249192 + 0.249192i −0.820639 0.571447i \(-0.806382\pi\)
0.571447 + 0.820639i \(0.306382\pi\)
\(740\) 5.16069 + 2.47463i 0.189711 + 0.0909693i
\(741\) 0.705786 + 2.42544i 0.0259277 + 0.0891006i
\(742\) 2.14020 + 3.39979i 0.0785692 + 0.124810i
\(743\) −5.26562 + 3.04011i −0.193177 + 0.111531i −0.593469 0.804857i \(-0.702242\pi\)
0.400292 + 0.916388i \(0.368909\pi\)
\(744\) 16.4269 + 6.70471i 0.602241 + 0.245807i
\(745\) 3.39524 + 1.96024i 0.124392 + 0.0718178i
\(746\) −1.04709 27.3713i −0.0383367 1.00214i
\(747\) −4.00212 0.890964i −0.146430 0.0325987i
\(748\) 20.3413 23.7171i 0.743751 0.867185i
\(749\) 2.57365 + 9.60501i 0.0940393 + 0.350959i
\(750\) 5.45058 + 4.83662i 0.199027 + 0.176609i
\(751\) 21.6001 12.4708i 0.788199 0.455067i −0.0511293 0.998692i \(-0.516282\pi\)
0.839328 + 0.543625i \(0.182949\pi\)
\(752\) 1.53831 + 1.91579i 0.0560962 + 0.0698617i
\(753\) 0.923406 0.559778i 0.0336508 0.0203994i
\(754\) 3.90875 + 12.6343i 0.142348 + 0.460115i
\(755\) −4.01206 4.01206i −0.146014 0.146014i
\(756\) 4.67244 6.21306i 0.169935 0.225967i
\(757\) 27.5078 27.5078i 0.999789 0.999789i −0.000211103 1.00000i \(-0.500067\pi\)
1.00000 0.000211103i \(6.71963e-5\pi\)
\(758\) −6.67064 + 12.6471i −0.242289 + 0.459362i
\(759\) 14.5567 + 24.0126i 0.528374 + 0.871602i
\(760\) −0.109349 + 0.738042i −0.00396649 + 0.0267716i
\(761\) 3.41665 + 5.91781i 0.123854 + 0.214521i 0.921284 0.388890i \(-0.127141\pi\)
−0.797431 + 0.603411i \(0.793808\pi\)
\(762\) −4.37165 + 0.260906i −0.158368 + 0.00945162i
\(763\) −0.546823 + 0.146521i −0.0197963 + 0.00530440i
\(764\) −3.12873 40.8333i −0.113194 1.47730i
\(765\) −4.47511 4.10797i −0.161798 0.148524i
\(766\) 7.32143 7.90387i 0.264534 0.285579i
\(767\) 0.00723364 0.0125290i 0.000261192 0.000452397i
\(768\) −15.3968 23.0421i −0.555583 0.831461i
\(769\) −1.16390 2.01594i −0.0419714 0.0726966i 0.844277 0.535908i \(-0.180031\pi\)
−0.886248 + 0.463211i \(0.846697\pi\)
\(770\) 0.717250 + 0.163077i 0.0258479 + 0.00587687i
\(771\) −9.19148 + 2.67466i −0.331023 + 0.0963256i
\(772\) 8.56018 + 4.10474i 0.308088 + 0.147733i