Properties

Label 144.2.u.a.59.15
Level $144$
Weight $2$
Character 144.59
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 59.15
Character \(\chi\) \(=\) 144.59
Dual form 144.2.u.a.83.15

$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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 0.981121 0.193396i \(-0.0619502\pi\)
−0.946373 + 0.323075i \(0.895283\pi\)
\(6\) 0.145929 2.44514i 0.0595753 0.998224i
\(7\) −0.374023 0.647827i −0.141367 0.244855i 0.786644 0.617406i \(-0.211817\pi\)
−0.928012 + 0.372551i \(0.878483\pi\)
\(8\) −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 0.814759 + 0.579800i \(0.196869\pi\)
−0.995502 + 0.0947421i \(0.969797\pi\)
\(12\) −3.24247 1.21917i −0.936021 0.351943i
\(13\) −0.429571 1.60318i −0.119142 0.444642i 0.880422 0.474191i \(-0.157260\pi\)
−0.999563 + 0.0295491i \(0.990593\pi\)
\(14\) −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 \(0.304902\pi\)
−0.575256 + 0.817973i \(0.695098\pi\)
\(18\) −0.762958 4.17348i −0.179831 0.983698i
\(19\) 0.621335 + 0.621335i 0.142544 + 0.142544i 0.774778 0.632234i \(-0.217862\pi\)
−0.632234 + 0.774778i \(0.717862\pi\)
\(20\) 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 −0.290151 0.956981i \(-0.593706\pi\)
−0.973845 + 0.227212i \(0.927039\pi\)
\(24\) −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 0.687809 + 0.725892i \(0.258573\pi\)
−0.958606 + 0.284736i \(0.908094\pi\)
\(30\) 0.720357 0.147666i 0.131519 0.0269600i
\(31\) −3.13647 1.81084i −0.563326 0.325236i 0.191153 0.981560i \(-0.438777\pi\)
−0.754479 + 0.656324i \(0.772111\pi\)
\(32\) 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 0.993396 + 0.114740i \(0.0366036\pi\)
0.114740 + 0.993396i \(0.463396\pi\)
\(38\) 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 −0.736301 0.676655i \(-0.763429\pi\)
0.954150 + 0.299328i \(0.0967624\pi\)
\(42\) −1.63861 + 0.820001i −0.252843 + 0.126529i
\(43\) −7.08744 1.89907i −1.08082 0.289606i −0.325891 0.945407i \(-0.605664\pi\)
−0.754934 + 0.655801i \(0.772331\pi\)
\(44\) 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 0.842757 0.538294i \(-0.180931\pi\)
−0.887555 + 0.460702i \(0.847598\pi\)
\(48\) 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 −0.867056 0.498211i \(-0.833990\pi\)
0.498211 + 0.867056i \(0.333990\pi\)
\(54\) −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 −0.259367 0.965779i \(-0.583514\pi\)
0.258271 + 0.966073i \(0.416847\pi\)
\(60\) 0.101591 1.03495i 0.0131153 0.133611i
\(61\) −10.1714 2.72542i −1.30232 0.348955i −0.459991 0.887924i \(-0.652147\pi\)
−0.842326 + 0.538969i \(0.818814\pi\)
\(62\) −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 −0.751656 0.659555i \(-0.770745\pi\)
−0.321176 + 0.947020i \(0.604078\pi\)
\(68\) 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 \(-0.603783\pi\)
0.320297 0.947317i \(-0.396217\pi\)
\(72\) −3.45420 + 7.75039i −0.407082 + 0.913392i
\(73\) 8.17785i 0.957145i −0.878048 0.478572i \(-0.841154\pi\)
0.878048 0.478572i \(-0.158846\pi\)
\(74\) 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 −0.00202794 0.999998i \(-0.500646\pi\)
0.865010 + 0.501755i \(0.167312\pi\)
\(80\) −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 0.185638 0.982618i \(-0.440565\pi\)
−0.330541 + 0.943791i \(0.607231\pi\)
\(84\) 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 0.530212 0.847865i \(-0.322112\pi\)
−0.999379 + 0.0352448i \(0.988779\pi\)
\(98\) −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 0.919067 0.394102i \(-0.128944\pi\)
0.598885 + 0.800835i \(0.295611\pi\)
\(102\) 16.4929 + 0.984318i 1.63304 + 0.0974620i
\(103\) −5.63994 + 9.76866i −0.555720 + 0.962535i 0.442127 + 0.896952i \(0.354224\pi\)
−0.997847 + 0.0655828i \(0.979109\pi\)
\(104\) 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 0.996167 0.0874707i \(-0.0278784\pi\)
−0.0874707 + 0.996167i \(0.527878\pi\)
\(108\) −10.3161 + 1.25651i −0.992664 + 0.120907i
\(109\) 0.535130 0.535130i 0.0512562 0.0512562i −0.681014 0.732270i \(-0.738461\pi\)
0.732270 + 0.681014i \(0.238461\pi\)
\(110\) −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 0.656878 0.753997i \(-0.271877\pi\)
−0.324541 + 0.945872i \(0.605210\pi\)
\(114\) 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 \(-0.974724\pi\)
0.996849 0.0793250i \(-0.0252765\pi\)
\(128\) −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 0.996322 0.0856865i \(-0.0273083\pi\)
−0.905684 + 0.423954i \(0.860642\pi\)
\(132\) 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 0.848590 0.529051i \(-0.177452\pi\)
−0.882467 + 0.470375i \(0.844119\pi\)
\(138\) −9.44222 + 14.3115i −0.803775 + 1.21828i
\(139\) 4.74448 + 17.7067i 0.402422 + 1.50186i 0.808762 + 0.588137i \(0.200138\pi\)
−0.406340 + 0.913722i \(0.633195\pi\)
\(140\) −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 −0.954553 0.298041i \(-0.903667\pi\)
0.677647 0.735388i \(-0.263000\pi\)
\(150\) −5.38217 10.7552i −0.439452 0.878156i
\(151\) 9.45023 + 16.3683i 0.769049 + 1.33203i 0.938079 + 0.346421i \(0.112603\pi\)
−0.169030 + 0.985611i \(0.554063\pi\)
\(152\) −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 0.991801 + 0.127792i \(0.0407891\pi\)
−0.795029 + 0.606572i \(0.792544\pi\)
\(158\) −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 0.418640 0.908152i \(-0.362507\pi\)
−0.908152 + 0.418640i \(0.862507\pi\)
\(164\) −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 0.775424 0.631441i \(-0.217536\pi\)
−0.159132 + 0.987257i \(0.550869\pi\)
\(168\) 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 −0.842713 0.538363i \(-0.819043\pi\)
0.998992 0.0448800i \(-0.0142906\pi\)
\(174\) 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 −0.342121 0.939656i \(-0.611145\pi\)
0.939656 + 0.342121i \(0.111145\pi\)
\(180\) −0.255942 1.78292i −0.0190768 0.132891i
\(181\) 14.5271 + 14.5271i 1.07979 + 1.07979i 0.996527 + 0.0832666i \(0.0265353\pi\)
0.0832666 + 0.996527i \(0.473465\pi\)
\(182\) 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 −0.952125 0.305708i \(-0.901107\pi\)
0.211312 0.977419i \(-0.432226\pi\)
\(192\) −0.152515 13.8556i −0.0110068 0.999939i
\(193\) −2.37336 + 4.11078i −0.170838 + 0.295901i −0.938713 0.344699i \(-0.887981\pi\)
0.767875 + 0.640600i \(0.221314\pi\)
\(194\) −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 −0.429210 0.903205i \(-0.641208\pi\)
0.903205 + 0.429210i \(0.141208\pi\)
\(198\) 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 0.290019 0.957021i \(-0.406338\pi\)
0.729674 + 0.683795i \(0.239672\pi\)
\(212\) 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 −0.270178 0.962811i \(-0.587082\pi\)
0.698730 + 0.715386i \(0.253749\pi\)
\(224\) −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 −0.501301 0.865273i \(-0.667145\pi\)
−0.866776 + 0.498698i \(0.833812\pi\)
\(228\) −1.25715 2.77217i −0.0832569 0.183592i
\(229\) −17.7978 + 4.76891i −1.17611 + 0.315138i −0.793383 0.608722i \(-0.791682\pi\)
−0.382729 + 0.923861i \(0.625016\pi\)
\(230\) −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 0.207592 + 0.978216i \(0.433438\pi\)
−0.950955 + 0.309328i \(0.899896\pi\)
\(240\) −1.33656 + 1.59354i −0.0862745 + 0.102862i
\(241\) 10.2735 + 17.7943i 0.661777 + 1.14623i 0.980148 + 0.198265i \(0.0635306\pi\)
−0.318372 + 0.947966i \(0.603136\pi\)
\(242\) 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 0.720883 0.693057i \(-0.243737\pi\)
−0.693057 + 0.720883i \(0.743737\pi\)
\(252\) 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 0.343233 0.939250i \(-0.388478\pi\)
−0.641798 + 0.766874i \(0.721811\pi\)
\(258\) −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 −0.343477 0.939161i \(-0.611605\pi\)
0.641599 + 0.767040i \(0.278271\pi\)
\(264\) −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 0.756107 0.654448i \(-0.227099\pi\)
−0.654448 + 0.756107i \(0.727099\pi\)
\(270\) 1.71111 1.39233i 0.104135 0.0847345i
\(271\) 23.2740i 1.41379i 0.707317 + 0.706897i \(0.249905\pi\)
−0.707317 + 0.706897i \(0.750095\pi\)
\(272\) −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 −0.960195 0.279330i \(-0.909888\pi\)
0.971218 + 0.238191i \(0.0765544\pi\)
\(278\) 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 0.789541 0.613697i \(-0.210318\pi\)
−0.926248 + 0.376914i \(0.876985\pi\)
\(282\) −1.34550 + 0.673324i −0.0801234 + 0.0400958i
\(283\) −3.75850 14.0269i −0.223420 0.833814i −0.983031 0.183437i \(-0.941278\pi\)
0.759612 0.650377i \(-0.225389\pi\)
\(284\) −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 0.902383 0.430934i \(-0.141816\pi\)
−0.996954 + 0.0779914i \(0.975149\pi\)
\(294\) −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 0.566238 0.824242i \(-0.308398\pi\)
−0.824242 + 0.566238i \(0.808398\pi\)
\(308\) −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 0.777529 0.628847i \(-0.216473\pi\)
−0.155832 + 0.987784i \(0.549806\pi\)
\(312\) 7.49584 + 3.15050i 0.424368 + 0.178362i
\(313\) −16.6282 + 9.60027i −0.939879 + 0.542640i −0.889922 0.456112i \(-0.849242\pi\)
−0.0499568 + 0.998751i \(0.515908\pi\)
\(314\) 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 0.831004 + 0.556266i \(0.187766\pi\)
−0.997804 + 0.0662384i \(0.978900\pi\)
\(318\) 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 −0.303991 0.952675i \(-0.598319\pi\)
−0.739601 + 0.673045i \(0.764986\pi\)
\(332\) 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 −0.697502 0.716583i \(-0.745705\pi\)
0.969330 + 0.245763i \(0.0790385\pi\)
\(338\) −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 −0.435678 0.900102i \(-0.643491\pi\)
0.0727428 + 0.997351i \(0.476825\pi\)
\(348\) 11.3636 15.8689i 0.609155 0.850664i
\(349\) 19.5231 + 5.23119i 1.04505 + 0.280019i 0.740203 0.672383i \(-0.234729\pi\)
0.304843 + 0.952403i \(0.401396\pi\)
\(350\) −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 −0.260224 0.965548i \(-0.583796\pi\)
0.706077 + 0.708135i \(0.250463\pi\)
\(354\) 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 \(-0.992885\pi\)
0.999750 0.0223491i \(-0.00711452\pi\)
\(360\) −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 −0.0342756 0.999412i \(-0.510912\pi\)
0.848379 + 0.529390i \(0.177579\pi\)
\(368\) 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 −0.708277 0.705934i \(-0.750527\pi\)
−0.260419 + 0.965496i \(0.583861\pi\)
\(374\) −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 −0.499235 0.866466i \(-0.666386\pi\)
0.866466 + 0.499235i \(0.166386\pi\)
\(380\) 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 −0.946781 0.321878i \(-0.895686\pi\)
0.752145 + 0.658998i \(0.229019\pi\)
\(384\) −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 0.219107 0.975701i \(-0.429686\pi\)
−0.298098 + 0.954535i \(0.596352\pi\)
\(390\) −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 −0.0500326 + 0.998748i \(0.515933\pi\)
−0.998748 + 0.0500326i \(0.984067\pi\)
\(398\) 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 0.0224993 0.999747i \(-0.492838\pi\)
−0.854557 + 0.519358i \(0.826171\pi\)
\(402\) 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 0.611461 0.791275i \(-0.290582\pi\)
−0.379533 + 0.925178i \(0.623915\pi\)
\(410\) 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 0.995347 0.0963549i \(-0.0307184\pi\)
−0.910173 + 0.414228i \(0.864052\pi\)
\(420\) −0.708465 + 0.321281i −0.0345695 + 0.0156769i
\(421\) 5.09689 19.0218i 0.248407 0.927068i −0.723233 0.690604i \(-0.757345\pi\)
0.971640 0.236464i \(-0.0759886\pi\)
\(422\) 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 0.795952 0.605359i \(-0.206971\pi\)
−0.922233 + 0.386635i \(0.873637\pi\)
\(440\) 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 −0.697689 0.716401i \(-0.745788\pi\)
0.962417 0.271577i \(-0.0875452\pi\)
\(444\) −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 \(-0.818144\pi\)
0.841189 0.540742i \(-0.181856\pi\)
\(450\) −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 −0.561368 0.827566i \(-0.689725\pi\)
0.436009 + 0.899942i \(0.356392\pi\)
\(458\) −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 −0.955695 0.294358i \(-0.904894\pi\)
0.974835 + 0.222926i \(0.0715608\pi\)
\(462\) −0.852235 4.15745i −0.0396496 0.193422i
\(463\) 0.0991508 + 0.0572447i 0.00460793 + 0.00266039i 0.502302 0.864692i \(-0.332487\pi\)
−0.497694 + 0.867353i \(0.665820\pi\)
\(464\) −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 −0.714595 0.699539i \(-0.753389\pi\)
0.699539 + 0.714595i \(0.253389\pi\)
\(468\) 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 0.995879 0.0906864i \(-0.0289061\pi\)
−0.576476 + 0.817114i \(0.695573\pi\)
\(480\) 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 −0.254281 0.967130i \(-0.581839\pi\)
0.263352 + 0.964700i \(0.415172\pi\)
\(492\) −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 0.608847 0.793288i \(-0.291632\pi\)
0.923921 + 0.382584i \(0.124966\pi\)
\(500\) −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 \(0.341638\pi\)
−0.477239 + 0.878773i \(0.658362\pi\)
\(504\) 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 −0.971364 0.237598i \(-0.923640\pi\)
−0.722427 + 0.691447i \(0.756973\pi\)
\(510\) 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 −0.163409 0.986558i \(-0.552249\pi\)
0.986558 + 0.163409i \(0.0522490\pi\)
\(524\) 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 −0.219078 0.975707i \(-0.570305\pi\)
0.975707 + 0.219078i \(0.0703048\pi\)
\(542\) 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 0.571436 + 0.820647i \(0.306387\pi\)
−0.905201 + 0.424983i \(0.860280\pi\)
\(548\) −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 −0.997953 0.0639497i \(-0.979630\pi\)
−0.0639497 0.997953i \(-0.520370\pi\)
\(558\) −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 0.998952 + 0.0457710i \(0.0145745\pi\)
−0.842232 + 0.539115i \(0.818759\pi\)
\(564\) 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 −0.993513 0.113718i \(-0.963724\pi\)
0.398274 0.917267i \(-0.369609\pi\)
\(570\) 0.539333 + 0.355833i 0.0225902 + 0.0149042i
\(571\) 4.64190 + 17.3238i 0.194257 + 0.724978i 0.992458 + 0.122586i \(0.0391188\pi\)
−0.798201 + 0.602392i \(0.794214\pi\)
\(572\) −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 0.748224 + 0.663447i \(0.230907\pi\)
−0.979704 + 0.200450i \(0.935760\pi\)
\(588\) −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 \(0.141003\pi\)
−0.903481 + 0.428628i \(0.858997\pi\)
\(594\) 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 0.289782 0.957093i \(-0.406417\pi\)
−0.683975 + 0.729505i \(0.739750\pi\)
\(600\) −3.26317 + 23.8310i −0.133218 + 0.972898i
\(601\) −21.0323 + 12.1430i −0.857927 + 0.495324i −0.863317 0.504661i \(-0.831617\pi\)
0.00539080 + 0.999985i \(0.498284\pi\)
\(602\) 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 −0.0593510 0.998237i \(-0.518903\pi\)
−0.894174 + 0.447719i \(0.852236\pi\)
\(608\) 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 −0.999503 0.0315305i \(-0.989962\pi\)
−0.0315305 0.999503i \(-0.510038\pi\)
\(614\) −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 −0.778623 0.627492i \(-0.784082\pi\)
0.932735 + 0.360562i \(0.117415\pi\)
\(618\) 23.0627 + 15.2160i 0.927718 + 0.612076i
\(619\) 31.4778 + 8.43446i 1.26520 + 0.339009i 0.828190 0.560447i \(-0.189371\pi\)
0.437010 + 0.899457i \(0.356037\pi\)
\(620\) −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 −0.236136 0.971720i \(-0.575881\pi\)
0.723466 + 0.690360i \(0.242548\pi\)
\(642\) 24.3551 21.6117i 0.961218 0.852946i
\(643\) −11.5700 + 3.10018i −0.456277 + 0.122259i −0.479635 0.877468i \(-0.659231\pi\)
0.0233581 + 0.999727i \(0.492564\pi\)
\(644\) 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 \(-0.979672\pi\)
0.997961 0.0638189i \(-0.0203280\pi\)
\(648\) 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 −0.260716 0.965416i \(-0.583959\pi\)
0.256921 + 0.966432i \(0.417292\pi\)
\(654\) −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 0.599484 0.800387i \(-0.295372\pi\)
0.118975 + 0.992897i \(0.462039\pi\)
\(660\) 2.25449 + 0.847686i 0.0877559 + 0.0329961i
\(661\) 26.6109 7.13036i 1.03504 0.277339i 0.298985 0.954258i \(-0.403352\pi\)
0.736058 + 0.676919i \(0.236685\pi\)
\(662\) −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 0.902313 + 0.431082i \(0.141868\pi\)
−0.0778289 + 0.996967i \(0.524799\pi\)
\(674\) −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 0.399897 0.916560i \(-0.369046\pi\)
−0.111960 + 0.993713i \(0.535713\pi\)
\(678\) 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 −0.967299 0.253637i \(-0.918373\pi\)
−0.253637 0.967299i \(-0.581627\pi\)
\(684\) −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 0.642402 + 0.766368i \(0.277938\pi\)
−0.939520 + 0.342493i \(0.888729\pi\)
\(692\) −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 0.825732 0.564063i \(-0.190763\pi\)
−0.564063 + 0.825732i \(0.690763\pi\)
\(702\) −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 −0.850344 0.526228i \(-0.823606\pi\)
0.999533 0.0305546i \(-0.00972734\pi\)
\(710\) 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 0.705701 0.708510i \(-0.250632\pi\)
−0.966438 + 0.256900i \(0.917299\pi\)
\(728\) 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 0.964758 0.263138i \(-0.0847573\pi\)
−0.967074 + 0.254495i \(0.918091\pi\)
\(734\) −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 0.571447 0.820639i \(-0.306382\pi\)
−0.820639 + 0.571447i \(0.806382\pi\)
\(740\) 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 0.400292 0.916388i \(-0.368909\pi\)
−0.593469 + 0.804857i \(0.702242\pi\)
\(744\) 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 0.839328 0.543625i \(-0.182949\pi\)
−0.0511293 + 0.998692i \(0.516282\pi\)
\(752\) 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 1.00000 0.000211103i \(-6.71963e-5\pi\)
−0.000211103 1.00000i \(0.500067\pi\)
\(758\) −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 −0.797431 0.603411i \(-0.793808\pi\)
0.921284 + 0.388890i \(0.127141\pi\)
\(762\) −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 −0.886248 0.463211i \(-0.846697\pi\)
0.844277 + 0.535908i \(0.180031\pi\)
\(770\) 0.717250 0.163077i 0.0258479 0.00587687i
\(771\) −9.19148 2.67466i −0.331023 0.0963256i
\(772\) 8.56018 4.10474i 0.308088 0.147