Properties

Label 384.2.v.a.13.17
Level $384$
Weight $2$
Character 384.13
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 13.17
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.156266 + 1.40555i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(-1.95116 - 0.439279i) q^{4} +(-0.103867 - 1.05457i) q^{5} +(1.39039 - 0.258474i) q^{6} +(-0.0783117 + 0.117202i) q^{7} +(0.922330 - 2.67382i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(-0.156266 + 1.40555i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(-1.95116 - 0.439279i) q^{4} +(-0.103867 - 1.05457i) q^{5} +(1.39039 - 0.258474i) q^{6} +(-0.0783117 + 0.117202i) q^{7} +(0.922330 - 2.67382i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(1.49849 + 0.0188036i) q^{10} +(-2.29838 + 1.22851i) q^{11} +(0.146029 + 1.99466i) q^{12} +(-6.11996 - 0.602763i) q^{13} +(-0.152496 - 0.128386i) q^{14} +(-0.979014 + 0.405521i) q^{15} +(3.61407 + 1.71421i) q^{16} +(-6.95448 - 2.88064i) q^{17} +(-0.650954 - 1.25549i) q^{18} +(0.671982 - 0.551481i) q^{19} +(-0.260592 + 2.10327i) q^{20} +(0.134888 + 0.0409177i) q^{21} +(-1.36758 - 3.42248i) q^{22} +(1.85915 - 9.34658i) q^{23} +(-2.82642 - 0.106446i) q^{24} +(3.80259 - 0.756382i) q^{25} +(1.80355 - 8.50774i) q^{26} +(0.773010 + 0.634393i) q^{27} +(0.204283 - 0.194279i) q^{28} +(-3.35535 + 6.27741i) q^{29} +(-0.416995 - 1.43943i) q^{30} +(3.67878 - 3.67878i) q^{31} +(-2.97417 + 4.81189i) q^{32} +(1.84280 + 1.84280i) q^{33} +(5.13564 - 9.32475i) q^{34} +(0.131732 + 0.0704121i) q^{35} +(1.86638 - 0.718760i) q^{36} +(-1.42782 + 1.73980i) q^{37} +(0.670129 + 1.03068i) q^{38} +(1.19972 + 6.03141i) q^{39} +(-2.91554 - 0.694945i) q^{40} +(-6.97514 - 1.38744i) q^{41} +(-0.0785904 + 0.183198i) q^{42} +(-0.779364 + 2.56922i) q^{43} +(5.02418 - 1.38739i) q^{44} +(0.672252 + 0.819141i) q^{45} +(12.8466 + 4.07368i) q^{46} +(0.674420 - 1.62819i) q^{47} +(0.591288 - 3.95606i) q^{48} +(2.67118 + 6.44880i) q^{49} +(0.468922 + 5.46294i) q^{50} +(-0.737821 + 7.49122i) q^{51} +(11.6762 + 3.86446i) q^{52} +(-4.02295 - 7.52641i) q^{53} +(-1.01247 + 0.987374i) q^{54} +(1.53428 + 2.29622i) q^{55} +(0.241147 + 0.317490i) q^{56} +(-0.722801 - 0.482960i) q^{57} +(-8.29891 - 5.69706i) q^{58} +(-10.7263 + 1.05645i) q^{59} +(2.08835 - 0.361177i) q^{60} +(6.46233 - 1.96033i) q^{61} +(4.59585 + 5.74558i) q^{62} -0.140957i q^{63} +(-6.29862 - 4.93229i) q^{64} +6.51656i q^{65} +(-2.87812 + 2.30219i) q^{66} +(10.0367 - 3.04460i) q^{67} +(12.3039 + 8.67555i) q^{68} +(-9.48380 + 0.934073i) q^{69} +(-0.119553 + 0.174153i) q^{70} +(9.98888 + 6.67435i) q^{71} +(0.718605 + 2.73562i) q^{72} +(1.28206 + 1.91874i) q^{73} +(-2.22227 - 2.27875i) q^{74} +(-1.82765 - 3.41928i) q^{75} +(-1.55340 + 0.780842i) q^{76} +(0.0360066 - 0.365581i) q^{77} +(-8.66494 + 0.743772i) q^{78} +(-5.10188 - 12.3170i) q^{79} +(1.43238 - 3.98935i) q^{80} +(0.382683 - 0.923880i) q^{81} +(3.04010 - 9.58713i) q^{82} +(6.80230 + 8.28863i) q^{83} +(-0.245213 - 0.139090i) q^{84} +(-2.31551 + 7.63321i) q^{85} +(-3.48939 - 1.49692i) q^{86} +(6.98111 + 1.38863i) q^{87} +(1.16495 + 7.27856i) q^{88} +(-1.23326 - 6.20000i) q^{89} +(-1.25640 + 0.816883i) q^{90} +(0.549909 - 0.670066i) q^{91} +(-7.73326 + 17.4200i) q^{92} +(-4.58826 - 2.45248i) q^{93} +(2.18312 + 1.20236i) q^{94} +(-0.651374 - 0.651374i) q^{95} +(5.46805 + 1.44928i) q^{96} +(-12.5043 + 12.5043i) q^{97} +(-9.48155 + 2.74676i) q^{98} +(1.22851 - 2.29838i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.156266 + 1.40555i −0.110496 + 0.993877i
\(3\) −0.290285 0.956940i −0.167596 0.552490i
\(4\) −1.95116 0.439279i −0.975581 0.219640i
\(5\) −0.103867 1.05457i −0.0464505 0.471620i −0.990069 0.140584i \(-0.955102\pi\)
0.943618 0.331036i \(-0.107398\pi\)
\(6\) 1.39039 0.258474i 0.567625 0.105522i
\(7\) −0.0783117 + 0.117202i −0.0295990 + 0.0442981i −0.845974 0.533224i \(-0.820980\pi\)
0.816375 + 0.577522i \(0.195980\pi\)
\(8\) 0.922330 2.67382i 0.326093 0.945338i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) 1.49849 + 0.0188036i 0.473865 + 0.00594624i
\(11\) −2.29838 + 1.22851i −0.692989 + 0.370410i −0.779985 0.625798i \(-0.784773\pi\)
0.0869960 + 0.996209i \(0.472273\pi\)
\(12\) 0.146029 + 1.99466i 0.0421548 + 0.575809i
\(13\) −6.11996 0.602763i −1.69737 0.167176i −0.797496 0.603324i \(-0.793842\pi\)
−0.899875 + 0.436148i \(0.856342\pi\)
\(14\) −0.152496 0.128386i −0.0407562 0.0343126i
\(15\) −0.979014 + 0.405521i −0.252780 + 0.104705i
\(16\) 3.61407 + 1.71421i 0.903517 + 0.428552i
\(17\) −6.95448 2.88064i −1.68671 0.698658i −0.687098 0.726565i \(-0.741116\pi\)
−0.999611 + 0.0279073i \(0.991116\pi\)
\(18\) −0.650954 1.25549i −0.153431 0.295922i
\(19\) 0.671982 0.551481i 0.154163 0.126519i −0.554150 0.832417i \(-0.686957\pi\)
0.708313 + 0.705898i \(0.249457\pi\)
\(20\) −0.260592 + 2.10327i −0.0582702 + 0.470306i
\(21\) 0.134888 + 0.0409177i 0.0294349 + 0.00892898i
\(22\) −1.36758 3.42248i −0.291569 0.729674i
\(23\) 1.85915 9.34658i 0.387660 1.94890i 0.0825156 0.996590i \(-0.473705\pi\)
0.305144 0.952306i \(-0.401295\pi\)
\(24\) −2.82642 0.106446i −0.576941 0.0217282i
\(25\) 3.80259 0.756382i 0.760518 0.151276i
\(26\) 1.80355 8.50774i 0.353706 1.66850i
\(27\) 0.773010 + 0.634393i 0.148766 + 0.122089i
\(28\) 0.204283 0.194279i 0.0386059 0.0367152i
\(29\) −3.35535 + 6.27741i −0.623072 + 1.16569i 0.350340 + 0.936623i \(0.386066\pi\)
−0.973412 + 0.229063i \(0.926434\pi\)
\(30\) −0.416995 1.43943i −0.0761325 0.262802i
\(31\) 3.67878 3.67878i 0.660728 0.660728i −0.294824 0.955552i \(-0.595261\pi\)
0.955552 + 0.294824i \(0.0952610\pi\)
\(32\) −2.97417 + 4.81189i −0.525764 + 0.850631i
\(33\) 1.84280 + 1.84280i 0.320790 + 0.320790i
\(34\) 5.13564 9.32475i 0.880755 1.59918i
\(35\) 0.131732 + 0.0704121i 0.0222667 + 0.0119018i
\(36\) 1.86638 0.718760i 0.311064 0.119793i
\(37\) −1.42782 + 1.73980i −0.234732 + 0.286022i −0.877032 0.480431i \(-0.840480\pi\)
0.642300 + 0.766453i \(0.277980\pi\)
\(38\) 0.670129 + 1.03068i 0.108709 + 0.167199i
\(39\) 1.19972 + 6.03141i 0.192109 + 0.965798i
\(40\) −2.91554 0.694945i −0.460987 0.109880i
\(41\) −6.97514 1.38744i −1.08933 0.216682i −0.382425 0.923987i \(-0.624911\pi\)
−0.706909 + 0.707305i \(0.749911\pi\)
\(42\) −0.0785904 + 0.183198i −0.0121268 + 0.0282680i
\(43\) −0.779364 + 2.56922i −0.118852 + 0.391802i −0.996100 0.0882357i \(-0.971877\pi\)
0.877248 + 0.480038i \(0.159377\pi\)
\(44\) 5.02418 1.38739i 0.757424 0.209157i
\(45\) 0.672252 + 0.819141i 0.100213 + 0.122110i
\(46\) 12.8466 + 4.07368i 1.89413 + 0.600632i
\(47\) 0.674420 1.62819i 0.0983742 0.237496i −0.867029 0.498257i \(-0.833973\pi\)
0.965403 + 0.260761i \(0.0839735\pi\)
\(48\) 0.591288 3.95606i 0.0853450 0.571007i
\(49\) 2.67118 + 6.44880i 0.381597 + 0.921257i
\(50\) 0.468922 + 5.46294i 0.0663156 + 0.772576i
\(51\) −0.737821 + 7.49122i −0.103316 + 1.04898i
\(52\) 11.6762 + 3.86446i 1.61920 + 0.535904i
\(53\) −4.02295 7.52641i −0.552595 1.03383i −0.990848 0.134980i \(-0.956903\pi\)
0.438254 0.898851i \(-0.355597\pi\)
\(54\) −1.01247 + 0.987374i −0.137780 + 0.134365i
\(55\) 1.53428 + 2.29622i 0.206883 + 0.309622i
\(56\) 0.241147 + 0.317490i 0.0322246 + 0.0424264i
\(57\) −0.722801 0.482960i −0.0957373 0.0639696i
\(58\) −8.29891 5.69706i −1.08970 0.748061i
\(59\) −10.7263 + 1.05645i −1.39645 + 0.137538i −0.768067 0.640369i \(-0.778781\pi\)
−0.628379 + 0.777907i \(0.716281\pi\)
\(60\) 2.08835 0.361177i 0.269605 0.0466277i
\(61\) 6.46233 1.96033i 0.827417 0.250994i 0.151953 0.988388i \(-0.451444\pi\)
0.675463 + 0.737393i \(0.263944\pi\)
\(62\) 4.59585 + 5.74558i 0.583674 + 0.729690i
\(63\) 0.140957i 0.0177589i
\(64\) −6.29862 4.93229i −0.787327 0.616536i
\(65\) 6.51656i 0.808279i
\(66\) −2.87812 + 2.30219i −0.354272 + 0.283379i
\(67\) 10.0367 3.04460i 1.22618 0.371957i 0.390206 0.920728i \(-0.372404\pi\)
0.835973 + 0.548770i \(0.184904\pi\)
\(68\) 12.3039 + 8.67555i 1.49207 + 1.05206i
\(69\) −9.48380 + 0.934073i −1.14172 + 0.112449i
\(70\) −0.119553 + 0.174153i −0.0142893 + 0.0208153i
\(71\) 9.98888 + 6.67435i 1.18546 + 0.792100i 0.982349 0.187055i \(-0.0598944\pi\)
0.203112 + 0.979155i \(0.434894\pi\)
\(72\) 0.718605 + 2.73562i 0.0846884 + 0.322396i
\(73\) 1.28206 + 1.91874i 0.150054 + 0.224571i 0.898880 0.438195i \(-0.144382\pi\)
−0.748826 + 0.662767i \(0.769382\pi\)
\(74\) −2.22227 2.27875i −0.258333 0.264899i
\(75\) −1.82765 3.41928i −0.211038 0.394825i
\(76\) −1.55340 + 0.780842i −0.178187 + 0.0895687i
\(77\) 0.0360066 0.365581i 0.00410333 0.0416618i
\(78\) −8.66494 + 0.743772i −0.981111 + 0.0842156i
\(79\) −5.10188 12.3170i −0.574006 1.38577i −0.898118 0.439754i \(-0.855066\pi\)
0.324112 0.946019i \(-0.394934\pi\)
\(80\) 1.43238 3.98935i 0.160145 0.446023i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) 3.04010 9.58713i 0.335723 1.05872i
\(83\) 6.80230 + 8.28863i 0.746649 + 0.909795i 0.998315 0.0580192i \(-0.0184785\pi\)
−0.251666 + 0.967814i \(0.580978\pi\)
\(84\) −0.245213 0.139090i −0.0267550 0.0151760i
\(85\) −2.31551 + 7.63321i −0.251152 + 0.827938i
\(86\) −3.48939 1.49692i −0.376270 0.161417i
\(87\) 6.98111 + 1.38863i 0.748454 + 0.148877i
\(88\) 1.16495 + 7.27856i 0.124184 + 0.775897i
\(89\) −1.23326 6.20000i −0.130725 0.657198i −0.989463 0.144784i \(-0.953751\pi\)
0.858738 0.512414i \(-0.171249\pi\)
\(90\) −1.25640 + 0.816883i −0.132436 + 0.0861070i
\(91\) 0.549909 0.670066i 0.0576461 0.0702420i
\(92\) −7.73326 + 17.4200i −0.806248 + 1.81616i
\(93\) −4.58826 2.45248i −0.475781 0.254310i
\(94\) 2.18312 + 1.20236i 0.225172 + 0.124014i
\(95\) −0.651374 0.651374i −0.0668296 0.0668296i
\(96\) 5.46805 + 1.44928i 0.558081 + 0.147917i
\(97\) −12.5043 + 12.5043i −1.26962 + 1.26962i −0.323336 + 0.946284i \(0.604805\pi\)
−0.946284 + 0.323336i \(0.895195\pi\)
\(98\) −9.48155 + 2.74676i −0.957781 + 0.277465i
\(99\) 1.22851 2.29838i 0.123470 0.230996i
\(100\) −7.75173 0.194574i −0.775173 0.0194574i
\(101\) −3.31742 2.72253i −0.330095 0.270902i 0.454717 0.890636i \(-0.349741\pi\)
−0.784812 + 0.619734i \(0.787241\pi\)
\(102\) −10.4140 2.20767i −1.03114 0.218592i
\(103\) 1.76536 0.351151i 0.173946 0.0346000i −0.107349 0.994221i \(-0.534236\pi\)
0.281295 + 0.959621i \(0.409236\pi\)
\(104\) −7.25630 + 15.8077i −0.711539 + 1.55007i
\(105\) 0.0291405 0.146499i 0.00284382 0.0142968i
\(106\) 11.2074 4.47835i 1.08856 0.434976i
\(107\) −2.80691 0.851465i −0.271354 0.0823143i 0.151675 0.988430i \(-0.451533\pi\)
−0.423029 + 0.906116i \(0.639033\pi\)
\(108\) −1.22959 1.57737i −0.118318 0.151783i
\(109\) 3.02571 2.48314i 0.289811 0.237842i −0.478242 0.878228i \(-0.658726\pi\)
0.768053 + 0.640386i \(0.221226\pi\)
\(110\) −3.46721 + 1.79770i −0.330585 + 0.171404i
\(111\) 2.07936 + 0.861299i 0.197364 + 0.0817509i
\(112\) −0.483932 + 0.289332i −0.0457273 + 0.0273393i
\(113\) 7.38984 3.06097i 0.695177 0.287952i −0.00697804 0.999976i \(-0.502221\pi\)
0.702155 + 0.712024i \(0.252221\pi\)
\(114\) 0.791775 0.940465i 0.0741565 0.0880827i
\(115\) −10.0498 0.989815i −0.937145 0.0923007i
\(116\) 9.30436 10.7743i 0.863888 1.00037i
\(117\) 5.42344 2.89889i 0.501397 0.268002i
\(118\) 0.191256 15.2415i 0.0176066 1.40309i
\(119\) 0.882232 0.589489i 0.0808741 0.0540384i
\(120\) 0.181316 + 2.99173i 0.0165518 + 0.273106i
\(121\) −2.33795 + 3.49898i −0.212541 + 0.318089i
\(122\) 1.74551 + 9.38949i 0.158031 + 0.850084i
\(123\) 0.697078 + 7.07755i 0.0628534 + 0.638161i
\(124\) −8.79390 + 5.56188i −0.789716 + 0.499472i
\(125\) −2.73066 9.00179i −0.244238 0.805144i
\(126\) 0.198123 + 0.0220268i 0.0176502 + 0.00196230i
\(127\) 13.3455 1.18422 0.592109 0.805858i \(-0.298295\pi\)
0.592109 + 0.805858i \(0.298295\pi\)
\(128\) 7.91685 8.08230i 0.699757 0.714381i
\(129\) 2.68483 0.236386
\(130\) −9.15937 1.01831i −0.803330 0.0893120i
\(131\) 4.43643 + 14.6250i 0.387613 + 1.27779i 0.906231 + 0.422782i \(0.138946\pi\)
−0.518619 + 0.855006i \(0.673554\pi\)
\(132\) −2.78610 4.40510i −0.242498 0.383415i
\(133\) 0.0120105 + 0.121945i 0.00104144 + 0.0105740i
\(134\) 2.71096 + 14.5829i 0.234191 + 1.25977i
\(135\) 0.588725 0.881089i 0.0506694 0.0758321i
\(136\) −14.1166 + 15.9381i −1.21049 + 1.36668i
\(137\) 9.06211 6.05511i 0.774229 0.517323i −0.104569 0.994518i \(-0.533346\pi\)
0.878798 + 0.477195i \(0.158346\pi\)
\(138\) 0.169101 13.4760i 0.0143949 1.14715i
\(139\) −11.9005 + 6.36096i −1.00939 + 0.539530i −0.891272 0.453470i \(-0.850186\pi\)
−0.118118 + 0.993000i \(0.537686\pi\)
\(140\) −0.226100 0.195253i −0.0191089 0.0165019i
\(141\) −1.75386 0.172740i −0.147701 0.0145473i
\(142\) −10.9421 + 12.9969i −0.918239 + 1.09068i
\(143\) 14.8065 6.13306i 1.23818 0.512872i
\(144\) −3.95735 + 0.582555i −0.329779 + 0.0485463i
\(145\) 6.96850 + 2.88645i 0.578703 + 0.239707i
\(146\) −2.89723 + 1.50217i −0.239776 + 0.124321i
\(147\) 5.39571 4.42815i 0.445031 0.365228i
\(148\) 3.55016 2.76742i 0.291822 0.227481i
\(149\) −1.48330 0.449955i −0.121517 0.0368618i 0.228940 0.973440i \(-0.426474\pi\)
−0.350457 + 0.936579i \(0.613974\pi\)
\(150\) 5.09158 2.03454i 0.415726 0.166119i
\(151\) 0.244860 1.23100i 0.0199264 0.100177i −0.969542 0.244924i \(-0.921237\pi\)
0.989469 + 0.144747i \(0.0462369\pi\)
\(152\) −0.854772 2.30541i −0.0693312 0.186993i
\(153\) 7.38283 1.46854i 0.596867 0.118724i
\(154\) 0.508217 + 0.107737i 0.0409533 + 0.00868169i
\(155\) −4.26164 3.49744i −0.342304 0.280921i
\(156\) 0.308620 12.2953i 0.0247094 0.984409i
\(157\) 3.34032 6.24930i 0.266587 0.498748i −0.712637 0.701533i \(-0.752499\pi\)
0.979223 + 0.202785i \(0.0649992\pi\)
\(158\) 18.1095 5.24624i 1.44071 0.417368i
\(159\) −6.03452 + 6.03452i −0.478569 + 0.478569i
\(160\) 5.38342 + 2.63669i 0.425596 + 0.208448i
\(161\) 0.949841 + 0.949841i 0.0748580 + 0.0748580i
\(162\) 1.23876 + 0.682253i 0.0973263 + 0.0536028i
\(163\) −5.83421 3.11845i −0.456970 0.244256i 0.226817 0.973937i \(-0.427168\pi\)
−0.683787 + 0.729682i \(0.739668\pi\)
\(164\) 13.0002 + 5.77116i 1.01514 + 0.450652i
\(165\) 1.75196 2.13477i 0.136390 0.166192i
\(166\) −12.7131 + 8.26577i −0.986726 + 0.641548i
\(167\) −0.643466 3.23492i −0.0497929 0.250326i 0.947870 0.318658i \(-0.103232\pi\)
−0.997663 + 0.0683322i \(0.978232\pi\)
\(168\) 0.233818 0.322926i 0.0180394 0.0249143i
\(169\) 24.3404 + 4.84160i 1.87233 + 0.372431i
\(170\) −10.3671 4.44738i −0.795117 0.341099i
\(171\) −0.252346 + 0.831873i −0.0192974 + 0.0636149i
\(172\) 2.64927 4.67061i 0.202005 0.356130i
\(173\) −15.8983 19.3722i −1.20873 1.47284i −0.839378 0.543548i \(-0.817080\pi\)
−0.369350 0.929290i \(-0.620420\pi\)
\(174\) −3.04270 + 9.59533i −0.230667 + 0.727420i
\(175\) −0.209138 + 0.504903i −0.0158093 + 0.0381671i
\(176\) −10.4124 + 0.500013i −0.784867 + 0.0376899i
\(177\) 4.12464 + 9.95777i 0.310027 + 0.748472i
\(178\) 8.90714 0.764562i 0.667619 0.0573063i
\(179\) 1.01765 10.3323i 0.0760625 0.772275i −0.879188 0.476476i \(-0.841914\pi\)
0.955250 0.295800i \(-0.0955860\pi\)
\(180\) −0.951841 1.89358i −0.0709460 0.141139i
\(181\) −7.05716 13.2030i −0.524555 0.981373i −0.995088 0.0989907i \(-0.968439\pi\)
0.470534 0.882382i \(-0.344061\pi\)
\(182\) 0.855882 + 0.877635i 0.0634422 + 0.0650546i
\(183\) −3.75183 5.61501i −0.277343 0.415074i
\(184\) −23.2763 13.5917i −1.71595 1.00199i
\(185\) 1.98305 + 1.32503i 0.145797 + 0.0974184i
\(186\) 4.16408 6.06581i 0.305325 0.444767i
\(187\) 19.5230 1.92284i 1.42766 0.140612i
\(188\) −2.03113 + 2.88061i −0.148136 + 0.210090i
\(189\) −0.134888 + 0.0409177i −0.00981164 + 0.00297633i
\(190\) 1.01733 0.813754i 0.0738048 0.0590360i
\(191\) 8.64894i 0.625816i −0.949784 0.312908i \(-0.898697\pi\)
0.949784 0.312908i \(-0.101303\pi\)
\(192\) −2.89151 + 7.45917i −0.208677 + 0.538319i
\(193\) 2.73991i 0.197223i −0.995126 0.0986114i \(-0.968560\pi\)
0.995126 0.0986114i \(-0.0314401\pi\)
\(194\) −15.6215 19.5295i −1.12156 1.40213i
\(195\) 6.23596 1.89166i 0.446566 0.135464i
\(196\) −2.37908 13.7560i −0.169935 0.982575i
\(197\) −1.33396 + 0.131383i −0.0950406 + 0.00936068i −0.145426 0.989369i \(-0.546455\pi\)
0.0503850 + 0.998730i \(0.483955\pi\)
\(198\) 3.03853 + 2.08590i 0.215939 + 0.148238i
\(199\) 7.18567 + 4.80131i 0.509378 + 0.340356i 0.783554 0.621324i \(-0.213405\pi\)
−0.274175 + 0.961680i \(0.588405\pi\)
\(200\) 1.48481 10.8651i 0.104992 0.768276i
\(201\) −5.82701 8.72073i −0.411005 0.615113i
\(202\) 4.34507 4.23737i 0.305718 0.298140i
\(203\) −0.472960 0.884847i −0.0331953 0.0621041i
\(204\) 4.73035 14.2925i 0.331191 1.00067i
\(205\) −0.738677 + 7.49991i −0.0515914 + 0.523817i
\(206\) 0.217698 + 2.53618i 0.0151677 + 0.176704i
\(207\) 3.64685 + 8.80428i 0.253474 + 0.611940i
\(208\) −21.0847 12.6693i −1.46196 0.878459i
\(209\) −0.866971 + 2.09305i −0.0599697 + 0.144780i
\(210\) 0.201359 + 0.0638513i 0.0138951 + 0.00440616i
\(211\) −1.14765 1.39842i −0.0790075 0.0962709i 0.732007 0.681298i \(-0.238584\pi\)
−0.811014 + 0.585027i \(0.801084\pi\)
\(212\) 4.54323 + 16.4524i 0.312030 + 1.12996i
\(213\) 3.48734 11.4962i 0.238949 0.787708i
\(214\) 1.63540 3.81220i 0.111794 0.260597i
\(215\) 2.79038 + 0.555042i 0.190303 + 0.0378535i
\(216\) 2.40922 1.48177i 0.163927 0.100822i
\(217\) 0.143068 + 0.719250i 0.00971207 + 0.0488259i
\(218\) 3.01737 + 4.64083i 0.204362 + 0.314317i
\(219\) 1.46395 1.78383i 0.0989249 0.120540i
\(220\) −1.98495 5.15427i −0.133826 0.347501i
\(221\) 40.8248 + 21.8213i 2.74617 + 1.46786i
\(222\) −1.53553 + 2.78806i −0.103058 + 0.187122i
\(223\) −15.0544 15.0544i −1.00812 1.00812i −0.999967 0.00815115i \(-0.997405\pi\)
−0.00815115 0.999967i \(-0.502595\pi\)
\(224\) −0.331050 0.725405i −0.0221192 0.0484682i
\(225\) −2.74151 + 2.74151i −0.182768 + 0.182768i
\(226\) 3.14758 + 10.8651i 0.209374 + 0.722738i
\(227\) 2.12083 3.96780i 0.140765 0.263352i −0.801654 0.597789i \(-0.796046\pi\)
0.942418 + 0.334437i \(0.108546\pi\)
\(228\) 1.19815 + 1.25984i 0.0793492 + 0.0834353i
\(229\) −10.0026 8.20896i −0.660993 0.542463i 0.242991 0.970029i \(-0.421871\pi\)
−0.903984 + 0.427565i \(0.859371\pi\)
\(230\) 2.96167 13.9708i 0.195287 0.921208i
\(231\) −0.360292 + 0.0716665i −0.0237054 + 0.00471531i
\(232\) 13.6899 + 14.7614i 0.898787 + 0.969135i
\(233\) 1.25420 6.30527i 0.0821651 0.413072i −0.917710 0.397252i \(-0.869964\pi\)
0.999875 0.0158202i \(-0.00503594\pi\)
\(234\) 3.22705 + 8.07593i 0.210959 + 0.527940i
\(235\) −1.78710 0.542111i −0.116578 0.0353634i
\(236\) 21.3929 + 2.65054i 1.39256 + 0.172535i
\(237\) −10.3057 + 8.45763i −0.669424 + 0.549382i
\(238\) 0.690696 + 1.33214i 0.0447712 + 0.0863499i
\(239\) −18.6065 7.70705i −1.20355 0.498528i −0.311407 0.950277i \(-0.600800\pi\)
−0.892145 + 0.451749i \(0.850800\pi\)
\(240\) −4.23337 0.212655i −0.273263 0.0137268i
\(241\) −5.13223 + 2.12584i −0.330596 + 0.136937i −0.541806 0.840503i \(-0.682259\pi\)
0.211211 + 0.977441i \(0.432259\pi\)
\(242\) −4.55267 3.83288i −0.292657 0.246387i
\(243\) −0.995185 0.0980171i −0.0638411 0.00628780i
\(244\) −13.4702 + 0.986148i −0.862340 + 0.0631317i
\(245\) 6.52329 3.48677i 0.416758 0.222762i
\(246\) −10.0568 0.126197i −0.641198 0.00804600i
\(247\) −4.44491 + 2.97000i −0.282823 + 0.188976i
\(248\) −6.44334 13.2294i −0.409152 0.840070i
\(249\) 5.95712 8.91546i 0.377517 0.564994i
\(250\) 13.0792 2.43142i 0.827201 0.153777i
\(251\) −0.745501 7.56920i −0.0470556 0.477764i −0.989617 0.143730i \(-0.954090\pi\)
0.942561 0.334033i \(-0.108410\pi\)
\(252\) −0.0619196 + 0.275030i −0.00390057 + 0.0173253i
\(253\) 7.20934 + 23.7660i 0.453247 + 1.49416i
\(254\) −2.08544 + 18.7578i −0.130852 + 1.17697i
\(255\) 7.97669 0.499520
\(256\) 10.1230 + 12.3905i 0.632686 + 0.774409i
\(257\) −19.4962 −1.21614 −0.608068 0.793885i \(-0.708055\pi\)
−0.608068 + 0.793885i \(0.708055\pi\)
\(258\) −0.419546 + 3.77367i −0.0261198 + 0.234938i
\(259\) −0.0920929 0.303589i −0.00572237 0.0188641i
\(260\) 2.86259 12.7149i 0.177530 0.788542i
\(261\) −0.697674 7.08361i −0.0431850 0.438464i
\(262\) −21.2494 + 3.95027i −1.31279 + 0.244048i
\(263\) −1.20983 + 1.81063i −0.0746010 + 0.111648i −0.866894 0.498492i \(-0.833887\pi\)
0.792293 + 0.610141i \(0.208887\pi\)
\(264\) 6.62698 3.22764i 0.407862 0.198648i
\(265\) −7.51931 + 5.02424i −0.461907 + 0.308637i
\(266\) −0.173277 0.00217434i −0.0106243 0.000133318i
\(267\) −5.57503 + 2.97992i −0.341186 + 0.182368i
\(268\) −20.9207 + 1.53160i −1.27793 + 0.0935571i
\(269\) 9.15851 + 0.902035i 0.558404 + 0.0549980i 0.373283 0.927718i \(-0.378232\pi\)
0.185122 + 0.982716i \(0.440732\pi\)
\(270\) 1.14642 + 0.965168i 0.0697689 + 0.0587383i
\(271\) −19.9172 + 8.24997i −1.20988 + 0.501150i −0.894180 0.447708i \(-0.852241\pi\)
−0.315704 + 0.948858i \(0.602241\pi\)
\(272\) −20.1959 22.3323i −1.22456 1.35409i
\(273\) −0.800843 0.331720i −0.0484692 0.0200766i
\(274\) 7.09469 + 13.6835i 0.428606 + 0.826650i
\(275\) −7.81058 + 6.40998i −0.470996 + 0.386536i
\(276\) 18.9147 + 2.34351i 1.13853 + 0.141063i
\(277\) −5.37601 1.63079i −0.323013 0.0979850i 0.124614 0.992205i \(-0.460231\pi\)
−0.447627 + 0.894220i \(0.647731\pi\)
\(278\) −7.08103 17.7208i −0.424692 1.06282i
\(279\) −1.01497 + 5.10261i −0.0607648 + 0.305485i
\(280\) 0.309769 0.287284i 0.0185123 0.0171685i
\(281\) −2.68402 + 0.533885i −0.160115 + 0.0318489i −0.274497 0.961588i \(-0.588511\pi\)
0.114382 + 0.993437i \(0.463511\pi\)
\(282\) 0.516863 2.43815i 0.0307787 0.145190i
\(283\) −16.7485 13.7451i −0.995595 0.817064i −0.0124560 0.999922i \(-0.503965\pi\)
−0.983139 + 0.182859i \(0.941465\pi\)
\(284\) −16.5580 17.4107i −0.982537 1.03313i
\(285\) −0.434242 + 0.812411i −0.0257223 + 0.0481230i
\(286\) 6.30660 + 21.7697i 0.372917 + 1.28727i
\(287\) 0.708845 0.708845i 0.0418418 0.0418418i
\(288\) −0.200415 5.65330i −0.0118096 0.333124i
\(289\) 28.0459 + 28.0459i 1.64976 + 1.64976i
\(290\) −5.14599 + 9.34355i −0.302183 + 0.548672i
\(291\) 15.5957 + 8.33607i 0.914236 + 0.488669i
\(292\) −1.65864 4.30695i −0.0970648 0.252045i
\(293\) 0.185949 0.226579i 0.0108632 0.0132369i −0.767551 0.640988i \(-0.778525\pi\)
0.778414 + 0.627752i \(0.216025\pi\)
\(294\) 5.38084 + 8.27593i 0.313817 + 0.482662i
\(295\) 2.22821 + 11.2020i 0.129731 + 0.652203i
\(296\) 3.33500 + 5.42240i 0.193843 + 0.315171i
\(297\) −2.55603 0.508427i −0.148316 0.0295019i
\(298\) 0.864226 2.01455i 0.0500633 0.116700i
\(299\) −17.0117 + 56.0800i −0.983811 + 3.24319i
\(300\) 2.06401 + 7.47442i 0.119166 + 0.431536i
\(301\) −0.240084 0.292543i −0.0138382 0.0168619i
\(302\) 1.69197 + 0.536526i 0.0973618 + 0.0308736i
\(303\) −1.64231 + 3.96488i −0.0943481 + 0.227776i
\(304\) 3.37394 0.841173i 0.193509 0.0482446i
\(305\) −2.73853 6.61140i −0.156808 0.378567i
\(306\) 0.910425 + 10.6065i 0.0520455 + 0.606330i
\(307\) 1.56090 15.8481i 0.0890852 0.904497i −0.841947 0.539560i \(-0.818591\pi\)
0.931032 0.364937i \(-0.118909\pi\)
\(308\) −0.230847 + 0.697491i −0.0131537 + 0.0397433i
\(309\) −0.848487 1.58741i −0.0482688 0.0903045i
\(310\) 5.58179 5.44344i 0.317024 0.309167i
\(311\) −7.27811 10.8925i −0.412703 0.617654i 0.565638 0.824654i \(-0.308630\pi\)
−0.978341 + 0.207000i \(0.933630\pi\)
\(312\) 17.2334 + 2.35511i 0.975651 + 0.133332i
\(313\) 17.0339 + 11.3817i 0.962811 + 0.643330i 0.934385 0.356266i \(-0.115950\pi\)
0.0284266 + 0.999596i \(0.490950\pi\)
\(314\) 8.26175 + 5.67155i 0.466237 + 0.320064i
\(315\) −0.148650 + 0.0146407i −0.00837547 + 0.000824912i
\(316\) 4.54398 + 26.2736i 0.255619 + 1.47801i
\(317\) 10.4002 3.15488i 0.584136 0.177196i 0.0156342 0.999878i \(-0.495023\pi\)
0.568502 + 0.822682i \(0.307523\pi\)
\(318\) −7.53886 9.42483i −0.422758 0.528518i
\(319\) 18.5500i 1.03860i
\(320\) −4.54725 + 7.15466i −0.254199 + 0.399958i
\(321\) 2.93321i 0.163716i
\(322\) −1.48348 + 1.18663i −0.0826711 + 0.0661281i
\(323\) −6.26190 + 1.89953i −0.348422 + 0.105693i
\(324\) −1.15252 + 1.63453i −0.0640288 + 0.0908074i
\(325\) −23.7276 + 2.33696i −1.31617 + 0.129631i
\(326\) 5.29483 7.71298i 0.293254 0.427183i
\(327\) −3.25454 2.17461i −0.179976 0.120256i
\(328\) −10.1431 + 17.3706i −0.560062 + 0.959130i
\(329\) 0.138012 + 0.206550i 0.00760885 + 0.0113875i
\(330\) 2.72677 + 2.79607i 0.150104 + 0.153919i
\(331\) −8.16402 15.2738i −0.448735 0.839525i −0.999987 0.00518548i \(-0.998349\pi\)
0.551251 0.834339i \(-0.314151\pi\)
\(332\) −9.63137 19.1606i −0.528590 1.05157i
\(333\) 0.220606 2.23985i 0.0120891 0.122743i
\(334\) 4.64741 0.398920i 0.254295 0.0218279i
\(335\) −4.25324 10.2682i −0.232379 0.561013i
\(336\) 0.417352 + 0.379105i 0.0227684 + 0.0206819i
\(337\) 5.41421 13.0711i 0.294931 0.712027i −0.705065 0.709143i \(-0.749082\pi\)
0.999996 0.00288368i \(-0.000917906\pi\)
\(338\) −10.6087 + 33.4551i −0.577036 + 1.81972i
\(339\) −5.07432 6.18308i −0.275599 0.335819i
\(340\) 7.87105 13.8765i 0.426868 0.752558i
\(341\) −3.93582 + 12.9747i −0.213137 + 0.702617i
\(342\) −1.12981 0.484679i −0.0610931 0.0262084i
\(343\) −1.93274 0.384445i −0.104358 0.0207581i
\(344\) 6.15080 + 4.45355i 0.331629 + 0.240119i
\(345\) 1.97010 + 9.90435i 0.106067 + 0.533232i
\(346\) 29.7130 19.3188i 1.59738 1.03858i
\(347\) −10.5798 + 12.8915i −0.567955 + 0.692055i −0.975215 0.221257i \(-0.928984\pi\)
0.407261 + 0.913312i \(0.366484\pi\)
\(348\) −13.0113 5.77610i −0.697478 0.309631i
\(349\) 6.26290 + 3.34759i 0.335245 + 0.179192i 0.630427 0.776249i \(-0.282880\pi\)
−0.295181 + 0.955441i \(0.595380\pi\)
\(350\) −0.676988 0.372853i −0.0361865 0.0199298i
\(351\) −4.34840 4.34840i −0.232101 0.232101i
\(352\) 0.924310 14.7134i 0.0492659 0.784226i
\(353\) −21.3140 + 21.3140i −1.13443 + 1.13443i −0.144999 + 0.989432i \(0.546318\pi\)
−0.989432 + 0.144999i \(0.953682\pi\)
\(354\) −14.6407 + 4.24135i −0.778145 + 0.225425i
\(355\) 6.00109 11.2273i 0.318505 0.595881i
\(356\) −0.317247 + 12.6389i −0.0168140 + 0.669863i
\(357\) −0.820204 0.673124i −0.0434098 0.0356255i
\(358\) 14.3636 + 3.04495i 0.759142 + 0.160930i
\(359\) 24.0195 4.77777i 1.26770 0.252161i 0.484974 0.874529i \(-0.338829\pi\)
0.782725 + 0.622367i \(0.213829\pi\)
\(360\) 2.81027 1.04196i 0.148114 0.0549162i
\(361\) −3.55929 + 17.8937i −0.187331 + 0.941776i
\(362\) 19.6603 7.85604i 1.03332 0.412904i
\(363\) 4.02699 + 1.22157i 0.211362 + 0.0641160i
\(364\) −1.36731 + 1.06584i −0.0716664 + 0.0558654i
\(365\) 1.89029 1.55132i 0.0989422 0.0811997i
\(366\) 8.47848 4.39597i 0.443177 0.229781i
\(367\) −1.23284 0.510658i −0.0643536 0.0266561i 0.350274 0.936647i \(-0.386088\pi\)
−0.414628 + 0.909991i \(0.636088\pi\)
\(368\) 22.7411 30.5922i 1.18546 1.59473i
\(369\) 6.57044 2.72157i 0.342043 0.141679i
\(370\) −2.17229 + 2.58023i −0.112932 + 0.134140i
\(371\) 1.19715 + 0.117909i 0.0621530 + 0.00612154i
\(372\) 7.87512 + 6.80071i 0.408306 + 0.352600i
\(373\) 3.02432 1.61654i 0.156594 0.0837010i −0.391239 0.920289i \(-0.627953\pi\)
0.547832 + 0.836588i \(0.315453\pi\)
\(374\) −0.348105 + 27.7410i −0.0180001 + 1.43445i
\(375\) −7.82150 + 5.22616i −0.403901 + 0.269878i
\(376\) −3.73146 3.30501i −0.192435 0.170443i
\(377\) 24.3184 36.3950i 1.25246 1.87444i
\(378\) −0.0364338 0.195986i −0.00187395 0.0100804i
\(379\) 0.312204 + 3.16986i 0.0160369 + 0.162825i 0.999868 0.0162762i \(-0.00518109\pi\)
−0.983831 + 0.179101i \(0.942681\pi\)
\(380\) 0.984802 + 1.55707i 0.0505193 + 0.0798761i
\(381\) −3.87398 12.7708i −0.198470 0.654269i
\(382\) 12.1566 + 1.35153i 0.621983 + 0.0691504i
\(383\) 13.7153 0.700821 0.350410 0.936596i \(-0.386042\pi\)
0.350410 + 0.936596i \(0.386042\pi\)
\(384\) −10.0324 5.22978i −0.511965 0.266881i
\(385\) −0.389272 −0.0198392
\(386\) 3.85109 + 0.428153i 0.196015 + 0.0217924i
\(387\) −0.779364 2.56922i −0.0396173 0.130601i
\(388\) 29.8908 18.9051i 1.51748 0.959759i
\(389\) −0.794425 8.06593i −0.0402790 0.408959i −0.994091 0.108554i \(-0.965378\pi\)
0.953812 0.300405i \(-0.0971219\pi\)
\(390\) 1.68436 + 9.06057i 0.0852909 + 0.458800i
\(391\) −39.8535 + 59.6450i −2.01548 + 3.01638i
\(392\) 19.7066 1.19433i 0.995335 0.0603229i
\(393\) 12.7074 8.49080i 0.641002 0.428304i
\(394\) 0.0237852 1.89548i 0.00119828 0.0954929i
\(395\) −12.4593 + 6.65963i −0.626895 + 0.335082i
\(396\) −3.40666 + 3.94486i −0.171191 + 0.198237i
\(397\) 15.7849 + 1.55468i 0.792223 + 0.0780272i 0.486030 0.873942i \(-0.338445\pi\)
0.306193 + 0.951969i \(0.400945\pi\)
\(398\) −7.87137 + 9.34956i −0.394556 + 0.468651i
\(399\) 0.113207 0.0468921i 0.00566746 0.00234754i
\(400\) 15.0394 + 3.78482i 0.751970 + 0.189241i
\(401\) 9.54305 + 3.95286i 0.476557 + 0.197396i 0.608015 0.793925i \(-0.291966\pi\)
−0.131458 + 0.991322i \(0.541966\pi\)
\(402\) 13.1680 6.82742i 0.656761 0.340521i
\(403\) −24.7314 + 20.2965i −1.23196 + 1.01104i
\(404\) 5.27687 + 6.76938i 0.262534 + 0.336789i
\(405\) −1.01405 0.307608i −0.0503884 0.0152852i
\(406\) 1.31761 0.526500i 0.0653917 0.0261298i
\(407\) 1.14431 5.75282i 0.0567212 0.285157i
\(408\) 19.3497 + 8.88218i 0.957951 + 0.439733i
\(409\) 24.9033 4.95356i 1.23139 0.244938i 0.463833 0.885923i \(-0.346474\pi\)
0.767554 + 0.640985i \(0.221474\pi\)
\(410\) −10.4261 2.21023i −0.514908 0.109155i
\(411\) −8.42497 6.91420i −0.415573 0.341052i
\(412\) −3.59875 0.0903313i −0.177298 0.00445030i
\(413\) 0.716178 1.33987i 0.0352408 0.0659309i
\(414\) −12.9448 + 3.75004i −0.636201 + 0.184305i
\(415\) 8.03444 8.03444i 0.394395 0.394395i
\(416\) 21.1022 27.6559i 1.03462 1.35594i
\(417\) 9.54160 + 9.54160i 0.467254 + 0.467254i
\(418\) −2.80642 1.54565i −0.137267 0.0756000i
\(419\) 22.7138 + 12.1408i 1.10964 + 0.593115i 0.921247 0.388979i \(-0.127172\pi\)
0.188393 + 0.982094i \(0.439672\pi\)
\(420\) −0.121212 + 0.273043i −0.00591453 + 0.0133231i
\(421\) −20.5197 + 25.0033i −1.00007 + 1.21859i −0.0243160 + 0.999704i \(0.507741\pi\)
−0.975751 + 0.218881i \(0.929759\pi\)
\(422\) 2.14489 1.39456i 0.104411 0.0678861i
\(423\) 0.343816 + 1.72848i 0.0167169 + 0.0840416i
\(424\) −23.8347 + 3.81481i −1.15752 + 0.185263i
\(425\) −28.6239 5.69364i −1.38846 0.276182i
\(426\) 15.6136 + 6.69811i 0.756482 + 0.324524i
\(427\) −0.276322 + 0.910913i −0.0133722 + 0.0440822i
\(428\) 5.10270 + 2.89436i 0.246648 + 0.139904i
\(429\) −10.1671 12.3886i −0.490871 0.598128i
\(430\) −1.21618 + 3.83530i −0.0586495 + 0.184955i
\(431\) −3.55256 + 8.57663i −0.171121 + 0.413122i −0.986052 0.166435i \(-0.946774\pi\)
0.814932 + 0.579557i \(0.196774\pi\)
\(432\) 1.70623 + 3.61784i 0.0820910 + 0.174064i
\(433\) −11.6714 28.1773i −0.560892 1.35411i −0.909054 0.416679i \(-0.863194\pi\)
0.348162 0.937434i \(-0.386806\pi\)
\(434\) −1.03330 + 0.0886954i −0.0496000 + 0.00425751i
\(435\) 0.739309 7.50633i 0.0354472 0.359901i
\(436\) −6.99445 + 3.51588i −0.334973 + 0.168380i
\(437\) −3.90515 7.30602i −0.186809 0.349494i
\(438\) 2.27851 + 2.33642i 0.108871 + 0.111638i
\(439\) −9.89554 14.8097i −0.472288 0.706829i 0.516478 0.856301i \(-0.327243\pi\)
−0.988766 + 0.149471i \(0.952243\pi\)
\(440\) 7.55478 1.98452i 0.360160 0.0946085i
\(441\) −5.80377 3.87795i −0.276370 0.184664i
\(442\) −37.0505 + 53.9715i −1.76231 + 2.56716i
\(443\) 17.1995 1.69400i 0.817173 0.0804846i 0.319212 0.947683i \(-0.396582\pi\)
0.497962 + 0.867199i \(0.334082\pi\)
\(444\) −3.67882 2.59395i −0.174589 0.123104i
\(445\) −6.41026 + 1.94453i −0.303876 + 0.0921797i
\(446\) 23.5123 18.8073i 1.11334 0.890551i
\(447\) 1.55005i 0.0733148i
\(448\) 1.07133 0.351953i 0.0506155 0.0166282i
\(449\) 3.67205i 0.173295i 0.996239 + 0.0866474i \(0.0276154\pi\)
−0.996239 + 0.0866474i \(0.972385\pi\)
\(450\) −3.42494 4.28175i −0.161453 0.201844i
\(451\) 17.7360 5.38017i 0.835158 0.253342i
\(452\) −15.7634 + 2.72625i −0.741447 + 0.128232i
\(453\) −1.24907 + 0.123022i −0.0586864 + 0.00578010i
\(454\) 5.24554 + 3.60097i 0.246185 + 0.169002i
\(455\) −0.763751 0.510322i −0.0358052 0.0239243i
\(456\) −1.95801 + 1.48719i −0.0916921 + 0.0696441i
\(457\) −22.6787 33.9411i −1.06087 1.58770i −0.777710 0.628624i \(-0.783619\pi\)
−0.283156 0.959074i \(-0.591381\pi\)
\(458\) 13.1012 12.7765i 0.612179 0.597006i
\(459\) −3.54843 6.63864i −0.165626 0.309865i
\(460\) 19.1739 + 6.34594i 0.893988 + 0.295881i
\(461\) −1.72802 + 17.5449i −0.0804819 + 0.817147i 0.867206 + 0.497949i \(0.165913\pi\)
−0.947688 + 0.319198i \(0.896587\pi\)
\(462\) −0.0444299 0.517608i −0.00206707 0.0240813i
\(463\) −4.21001 10.1639i −0.195656 0.472355i 0.795354 0.606145i \(-0.207285\pi\)
−0.991010 + 0.133791i \(0.957285\pi\)
\(464\) −22.8872 + 16.9352i −1.06251 + 0.786198i
\(465\) −2.10975 + 5.09339i −0.0978374 + 0.236200i
\(466\) 8.66640 + 2.74813i 0.401463 + 0.127305i
\(467\) 0.515456 + 0.628085i 0.0238525 + 0.0290643i 0.784800 0.619749i \(-0.212766\pi\)
−0.760948 + 0.648813i \(0.775266\pi\)
\(468\) −11.8554 + 3.27380i −0.548017 + 0.151331i
\(469\) −0.429159 + 1.41475i −0.0198167 + 0.0653269i
\(470\) 1.04123 2.42715i 0.0480283 0.111956i
\(471\) −6.94985 1.38241i −0.320232 0.0636981i
\(472\) −7.06844 + 29.6546i −0.325351 + 1.36496i
\(473\) −1.36504 6.86251i −0.0627645 0.315539i
\(474\) −10.2772 15.8068i −0.472049 0.726030i
\(475\) 2.13814 2.60533i 0.0981046 0.119541i
\(476\) −1.98033 + 0.762642i −0.0907682 + 0.0349556i
\(477\) 7.52641 + 4.02295i 0.344611 + 0.184198i
\(478\) 13.7402 24.9480i 0.628463 1.14110i
\(479\) 27.8639 + 27.8639i 1.27313 + 1.27313i 0.944435 + 0.328698i \(0.106610\pi\)
0.328698 + 0.944435i \(0.393390\pi\)
\(480\) 0.960428 5.91700i 0.0438373 0.270073i
\(481\) 9.78688 9.78688i 0.446243 0.446243i
\(482\) −2.18599 7.54582i −0.0995691 0.343703i
\(483\) 0.633217 1.18467i 0.0288124 0.0539042i
\(484\) 6.09874 5.80007i 0.277215 0.263640i
\(485\) 14.4855 + 11.8879i 0.657753 + 0.539804i
\(486\) 0.293281 1.38347i 0.0133035 0.0627554i
\(487\) 14.8136 2.94660i 0.671267 0.133523i 0.152322 0.988331i \(-0.451325\pi\)
0.518945 + 0.854808i \(0.326325\pi\)
\(488\) 0.718842 19.0872i 0.0325404 0.864036i
\(489\) −1.29059 + 6.48822i −0.0583624 + 0.293408i
\(490\) 3.88148 + 9.71370i 0.175347 + 0.438820i
\(491\) 1.06533 + 0.323166i 0.0480779 + 0.0145843i 0.314232 0.949346i \(-0.398253\pi\)
−0.266154 + 0.963930i \(0.585753\pi\)
\(492\) 1.74891 14.1157i 0.0788468 0.636383i
\(493\) 41.4176 33.9906i 1.86536 1.53086i
\(494\) −3.47990 6.71167i −0.156568 0.301972i
\(495\) −2.55142 1.05683i −0.114678 0.0475011i
\(496\) 19.6015 6.98915i 0.880135 0.313822i
\(497\) −1.56449 + 0.648033i −0.0701770 + 0.0290683i
\(498\) 11.6003 + 9.76623i 0.519820 + 0.437635i
\(499\) −28.1704 2.77454i −1.26108 0.124206i −0.554707 0.832046i \(-0.687170\pi\)
−0.706373 + 0.707840i \(0.749670\pi\)
\(500\) 1.37367 + 18.7635i 0.0614323 + 0.839128i
\(501\) −2.90884 + 1.55481i −0.129957 + 0.0694637i
\(502\) 10.7554 + 0.134963i 0.480037 + 0.00602370i
\(503\) −31.0230 + 20.7289i −1.38325 + 0.924255i −0.383246 + 0.923646i \(0.625194\pi\)
−1.00000 0.000609030i \(0.999806\pi\)
\(504\) −0.376894 0.130009i −0.0167882 0.00579106i
\(505\) −2.52655 + 3.78124i −0.112430 + 0.168263i
\(506\) −34.5310 + 6.41931i −1.53509 + 0.285373i
\(507\) −2.43251 24.6977i −0.108032 1.09686i
\(508\) −26.0392 5.86238i −1.15530 0.260101i
\(509\) 10.6325 + 35.0508i 0.471279 + 1.55360i 0.794493 + 0.607273i \(0.207737\pi\)
−0.323214 + 0.946326i \(0.604763\pi\)
\(510\) −1.24648 + 11.2117i −0.0551951 + 0.496461i
\(511\) −0.325279 −0.0143895
\(512\) −18.9974 + 12.2922i −0.839576 + 0.543242i
\(513\) 0.869305 0.0383808
\(514\) 3.04658 27.4029i 0.134379 1.20869i
\(515\) −0.553677 1.82523i −0.0243979 0.0804291i
\(516\) −5.23853 1.17939i −0.230614 0.0519197i
\(517\) 0.450179 + 4.57075i 0.0197989 + 0.201021i
\(518\) 0.441102 0.0820009i 0.0193809 0.00360291i
\(519\) −13.9230 + 20.8372i −0.611151 + 0.914651i
\(520\) 17.4241 + 6.01041i 0.764097 + 0.263574i
\(521\) −27.4576 + 18.3466i −1.20294 + 0.803778i −0.985062 0.172198i \(-0.944913\pi\)
−0.217877 + 0.975976i \(0.569913\pi\)
\(522\) 10.0654 + 0.126305i 0.440551 + 0.00552820i
\(523\) 21.0658 11.2599i 0.921143 0.492361i 0.0585639 0.998284i \(-0.481348\pi\)
0.862579 + 0.505923i \(0.168848\pi\)
\(524\) −2.23176 30.4845i −0.0974949 1.33172i
\(525\) 0.543872 + 0.0535667i 0.0237365 + 0.00233784i
\(526\) −2.35589 1.98341i −0.102721 0.0864809i
\(527\) −36.1812 + 14.9867i −1.57608 + 0.652833i
\(528\) 3.50105 + 9.81894i 0.152364 + 0.427314i
\(529\) −62.6528 25.9517i −2.72404 1.12833i
\(530\) −5.88683 11.3539i −0.255708 0.493182i
\(531\) 8.33167 6.83763i 0.361564 0.296728i
\(532\) 0.0301334 0.243210i 0.00130645 0.0105445i
\(533\) 41.8513 + 12.6954i 1.81278 + 0.549901i
\(534\) −3.31725 8.30166i −0.143551 0.359248i
\(535\) −0.606390 + 3.04853i −0.0262165 + 0.131799i
\(536\) 1.11644 29.6445i 0.0482228 1.28045i
\(537\) −10.1828 + 2.02549i −0.439422 + 0.0874065i
\(538\) −2.69902 + 12.7318i −0.116363 + 0.548908i
\(539\) −14.0618 11.5402i −0.605686 0.497073i
\(540\) −1.53574 + 1.46053i −0.0660878 + 0.0628513i
\(541\) −3.77752 + 7.06724i −0.162408 + 0.303844i −0.949942 0.312428i \(-0.898858\pi\)
0.787533 + 0.616272i \(0.211358\pi\)
\(542\) −8.48341 29.2839i −0.364394 1.25785i
\(543\) −10.5859 + 10.5859i −0.454285 + 0.454285i
\(544\) 34.5451 24.8967i 1.48111 1.06744i
\(545\) −2.93293 2.93293i −0.125633 0.125633i
\(546\) 0.591395 1.07379i 0.0253094 0.0459540i
\(547\) −6.03126 3.22378i −0.257878 0.137839i 0.337392 0.941364i \(-0.390455\pi\)
−0.595270 + 0.803525i \(0.702955\pi\)
\(548\) −20.3415 + 7.83371i −0.868947 + 0.334639i
\(549\) −4.28413 + 5.22023i −0.182842 + 0.222794i
\(550\) −7.78905 11.9799i −0.332126 0.510823i
\(551\) 1.20714 + 6.06872i 0.0514260 + 0.258536i
\(552\) −6.24965 + 26.2195i −0.266003 + 1.11598i
\(553\) 1.84311 + 0.366618i 0.0783771 + 0.0155902i
\(554\) 3.13225 7.30143i 0.133077 0.310208i
\(555\) 0.692328 2.28230i 0.0293877 0.0968782i
\(556\) 26.0141 7.18362i 1.10324 0.304653i
\(557\) 18.7207 + 22.8113i 0.793224 + 0.966546i 0.999930 0.0118573i \(-0.00377438\pi\)
−0.206706 + 0.978403i \(0.566274\pi\)
\(558\) −7.01339 2.22396i −0.296900 0.0941477i
\(559\) 6.31831 15.2537i 0.267236 0.645165i
\(560\) 0.355387 + 0.480290i 0.0150178 + 0.0202960i
\(561\) −7.50726 18.1241i −0.316957 0.765201i
\(562\) −0.330984 3.85596i −0.0139617 0.162654i
\(563\) −0.467006 + 4.74159i −0.0196820 + 0.199834i 0.980315 + 0.197439i \(0.0632625\pi\)
−0.999997 + 0.00239533i \(0.999238\pi\)
\(564\) 3.34618 + 1.10748i 0.140900 + 0.0466332i
\(565\) −3.99558 7.47520i −0.168095 0.314484i
\(566\) 21.9367 21.3930i 0.922070 0.899216i
\(567\) 0.0783117 + 0.117202i 0.00328878 + 0.00492201i
\(568\) 27.0591 20.5525i 1.13537 0.862363i
\(569\) −20.9944 14.0280i −0.880129 0.588083i 0.0313141 0.999510i \(-0.490031\pi\)
−0.911443 + 0.411426i \(0.865031\pi\)
\(570\) −1.07403 0.737303i −0.0449861 0.0308822i
\(571\) 6.87489 0.677118i 0.287705 0.0283365i 0.0468649 0.998901i \(-0.485077\pi\)
0.240840 + 0.970565i \(0.422577\pi\)
\(572\) −31.5840 + 5.46240i −1.32059 + 0.228394i
\(573\) −8.27652 + 2.51066i −0.345757 + 0.104884i
\(574\) 0.885552 + 1.10709i 0.0369622 + 0.0462090i
\(575\) 36.9474i 1.54081i
\(576\) 7.97734 + 0.601722i 0.332389 + 0.0250718i
\(577\) 10.3866i 0.432399i −0.976349 0.216199i \(-0.930634\pi\)
0.976349 0.216199i \(-0.0693661\pi\)
\(578\) −43.8026 + 35.0374i −1.82195 + 1.45736i
\(579\) −2.62193 + 0.795353i −0.108964 + 0.0330537i
\(580\) −12.3287 8.69305i −0.511922 0.360959i
\(581\) −1.50414 + 0.148145i −0.0624023 + 0.00614609i
\(582\) −14.1539 + 20.6179i −0.586696 + 0.854641i
\(583\) 18.4926 + 12.3563i 0.765884 + 0.511747i
\(584\) 6.31284 1.65829i 0.261227 0.0686203i
\(585\) −3.62041 5.41832i −0.149685 0.224020i
\(586\) 0.289412 + 0.296767i 0.0119555 + 0.0122593i
\(587\) −0.883677 1.65324i −0.0364732 0.0682366i 0.863024 0.505162i \(-0.168567\pi\)
−0.899498 + 0.436926i \(0.856067\pi\)
\(588\) −12.4731 + 6.26981i −0.514382 + 0.258563i
\(589\) 0.443295 4.50085i 0.0182656 0.185454i
\(590\) −16.0932 + 1.38139i −0.662545 + 0.0568708i
\(591\) 0.512954 + 1.23838i 0.0211001 + 0.0509401i
\(592\) −8.14262 + 3.84018i −0.334659 + 0.157830i
\(593\) 12.2578 29.5931i 0.503369 1.21524i −0.444268 0.895894i \(-0.646536\pi\)
0.947638 0.319348i \(-0.103464\pi\)
\(594\) 1.11404 3.51319i 0.0457097 0.144148i
\(595\) −0.713294 0.869151i −0.0292422 0.0356317i
\(596\) 2.69651 + 1.52952i 0.110453 + 0.0626516i
\(597\) 2.50868 8.27000i 0.102673 0.338469i
\(598\) −76.1651 32.6742i −3.11462 1.33615i
\(599\) 28.3569 + 5.64054i 1.15863 + 0.230466i 0.736737 0.676179i \(-0.236365\pi\)
0.421894 + 0.906645i \(0.361365\pi\)
\(600\) −10.8282 + 1.73309i −0.442061 + 0.0707529i
\(601\) 2.94440 + 14.8025i 0.120105 + 0.603807i 0.993216 + 0.116286i \(0.0370989\pi\)
−0.873111 + 0.487521i \(0.837901\pi\)
\(602\) 0.448701 0.291736i 0.0182877 0.0118903i
\(603\) −6.65373 + 8.10759i −0.270961 + 0.330167i
\(604\) −1.01851 + 2.29431i −0.0414427 + 0.0933541i
\(605\) 3.93277 + 2.10211i 0.159890 + 0.0854629i
\(606\) −5.31622 2.92792i −0.215957 0.118939i
\(607\) −1.59552 1.59552i −0.0647603 0.0647603i 0.673985 0.738745i \(-0.264581\pi\)
−0.738745 + 0.673985i \(0.764581\pi\)
\(608\) 0.655083 + 4.87370i 0.0265671 + 0.197655i
\(609\) −0.709452 + 0.709452i −0.0287485 + 0.0287485i
\(610\) 9.72061 2.81602i 0.393576 0.114017i
\(611\) −5.10884 + 9.55796i −0.206681 + 0.386674i
\(612\) −15.0502 0.377771i −0.608368 0.0152705i
\(613\) 18.8336 + 15.4563i 0.760682 + 0.624276i 0.932632 0.360830i \(-0.117507\pi\)
−0.171950 + 0.985106i \(0.555007\pi\)
\(614\) 22.0314 + 4.67043i 0.889115 + 0.188483i
\(615\) 7.39140 1.47024i 0.298050 0.0592858i
\(616\) −0.944288 0.433462i −0.0380465 0.0174647i
\(617\) −9.39486 + 47.2312i −0.378223 + 1.90146i 0.0518387 + 0.998655i \(0.483492\pi\)
−0.430062 + 0.902800i \(0.641508\pi\)
\(618\) 2.36378 0.944537i 0.0950850 0.0379949i
\(619\) 22.1572 + 6.72131i 0.890573 + 0.270152i 0.702229 0.711951i \(-0.252188\pi\)
0.188344 + 0.982103i \(0.439688\pi\)
\(620\) 6.77881 + 8.69613i 0.272243 + 0.349245i
\(621\) 7.36655 6.04557i 0.295609 0.242600i
\(622\) 16.4472 8.52765i 0.659474 0.341928i
\(623\) 0.823228 + 0.340992i 0.0329819 + 0.0136616i
\(624\) −6.00322 + 23.8545i −0.240321 + 0.954944i
\(625\) 8.70037 3.60381i 0.348015 0.144152i
\(626\) −18.6594 + 22.1635i −0.745778 + 0.885830i
\(627\) 2.25460 + 0.222058i 0.0900399 + 0.00886815i
\(628\) −9.26269 + 10.7261i −0.369622 + 0.428016i
\(629\) 14.9415 7.98638i 0.595755 0.318438i
\(630\) 0.00265051 0.211223i 0.000105599 0.00841534i
\(631\) −12.2990 + 8.21795i −0.489617 + 0.327152i −0.775752 0.631038i \(-0.782629\pi\)
0.286135 + 0.958189i \(0.407629\pi\)
\(632\) −37.6391 + 2.28114i −1.49720 + 0.0907389i
\(633\) −1.00506 + 1.50417i −0.0399474 + 0.0597854i
\(634\) 2.80915 + 15.1111i 0.111566 + 0.600138i
\(635\) −1.38615 14.0738i −0.0550076 0.558501i
\(636\) 14.4252 9.12349i 0.571995 0.361770i
\(637\) −12.4604 41.0765i −0.493700 1.62751i
\(638\) 26.0730 + 2.89872i 1.03224 + 0.114762i
\(639\) −12.0135 −0.475247
\(640\) −9.34568 7.50942i −0.369420 0.296836i
\(641\) 12.6929 0.501339 0.250669 0.968073i \(-0.419349\pi\)
0.250669 + 0.968073i \(0.419349\pi\)
\(642\) −4.12278 0.458359i −0.162713 0.0180900i
\(643\) 3.02364 + 9.96762i 0.119241 + 0.393085i 0.996160 0.0875539i \(-0.0279050\pi\)
−0.876919 + 0.480638i \(0.840405\pi\)
\(644\) −1.43605 2.27054i −0.0565883 0.0894718i
\(645\) −0.278864 2.83135i −0.0109802 0.111484i
\(646\) −1.69137 9.09827i −0.0665460 0.357967i
\(647\) 15.6543 23.4284i 0.615436 0.921065i −0.384562 0.923099i \(-0.625648\pi\)
0.999998 + 0.00203450i \(0.000647602\pi\)
\(648\) −2.11733 1.87535i −0.0831764 0.0736706i
\(649\) 23.3553 15.6055i 0.916777 0.612570i
\(650\) 0.423076 33.7156i 0.0165944 1.32243i
\(651\) 0.646749 0.345694i 0.0253481 0.0135488i
\(652\) 10.0136 + 8.64744i 0.392163 + 0.338660i
\(653\) −28.3692 2.79412i −1.11017 0.109342i −0.473733 0.880669i \(-0.657094\pi\)
−0.636440 + 0.771326i \(0.719594\pi\)
\(654\) 3.56510 4.23461i 0.139407 0.165586i
\(655\) 14.9623 6.19759i 0.584625 0.242160i
\(656\) −22.8303 16.9712i −0.891372 0.662613i
\(657\) −2.13199 0.883098i −0.0831767 0.0344529i
\(658\) −0.311883 + 0.161707i −0.0121585 + 0.00630399i
\(659\) 36.4723 29.9320i 1.42076 1.16599i 0.460231 0.887799i \(-0.347766\pi\)
0.960527 0.278187i \(-0.0897336\pi\)
\(660\) −4.35612 + 3.39569i −0.169562 + 0.132177i
\(661\) −7.69719 2.33492i −0.299386 0.0908178i 0.137018 0.990569i \(-0.456248\pi\)
−0.436404 + 0.899751i \(0.643748\pi\)
\(662\) 22.7439 9.08820i 0.883968 0.353223i
\(663\) 9.03087 45.4012i 0.350730 1.76324i
\(664\) 28.4362 10.5433i 1.10354 0.409158i
\(665\) 0.127352 0.0253320i 0.00493851 0.000982332i
\(666\) 3.11375 + 0.660084i 0.120655 + 0.0255777i
\(667\) 52.4342 + 43.0316i 2.03026 + 1.66619i
\(668\) −0.165527 + 6.59452i −0.00640444 + 0.255150i
\(669\) −10.0361 + 18.7762i −0.388018 + 0.725931i
\(670\) 15.0972 4.37358i 0.583255 0.168966i
\(671\) −12.4446 + 12.4446i −0.480420 + 0.480420i
\(672\) −0.598070 + 0.527369i −0.0230711 + 0.0203437i
\(673\) −19.3932 19.3932i −0.747551 0.747551i 0.226468 0.974019i \(-0.427282\pi\)
−0.974019 + 0.226468i \(0.927282\pi\)
\(674\) 17.5260 + 9.65253i 0.675078 + 0.371801i
\(675\) 3.41928 + 1.82765i 0.131608 + 0.0703461i
\(676\) −45.3652 20.1389i −1.74481 0.774575i
\(677\) 8.90415 10.8497i 0.342214 0.416989i −0.573255 0.819377i \(-0.694320\pi\)
0.915469 + 0.402388i \(0.131820\pi\)
\(678\) 9.48359 6.16603i 0.364215 0.236805i
\(679\) −0.486293 2.44476i −0.0186622 0.0938213i
\(680\) 18.2742 + 13.2316i 0.700782 + 0.507409i
\(681\) −4.41259 0.877719i −0.169091 0.0336343i
\(682\) −17.6215 7.55950i −0.674764 0.289468i
\(683\) −0.906663 + 2.98887i −0.0346925 + 0.114366i −0.972577 0.232583i \(-0.925282\pi\)
0.937884 + 0.346949i \(0.112782\pi\)
\(684\) 0.857792 1.51227i 0.0327985 0.0578231i
\(685\) −7.32681 8.92775i −0.279943 0.341112i
\(686\) 0.842378 2.65649i 0.0321622 0.101425i
\(687\) −4.95187 + 11.9549i −0.188926 + 0.456107i
\(688\) −7.22086 + 7.94934i −0.275293 + 0.303066i
\(689\) 20.0836 + 48.4862i 0.765126 + 1.84718i
\(690\) −14.2290 + 1.22137i −0.541687 + 0.0464968i
\(691\) 3.86155 39.2070i 0.146900 1.49150i −0.585523 0.810655i \(-0.699111\pi\)
0.732424 0.680849i \(-0.238389\pi\)
\(692\) 22.5104 + 44.7821i 0.855718 + 1.70236i
\(693\) 0.173168 + 0.323974i 0.00657810 + 0.0123068i
\(694\) −16.4665 16.8850i −0.625060 0.640946i
\(695\) 7.94417 + 11.8893i 0.301340 + 0.450987i
\(696\) 10.1518 17.3855i 0.384804 0.658994i
\(697\) 44.5117 + 29.7418i 1.68600 + 1.12655i
\(698\) −5.68389 + 8.27973i −0.215139 + 0.313392i
\(699\) −6.39784 + 0.630132i −0.241988 + 0.0238338i
\(700\) 0.629855 0.893278i 0.0238063 0.0337627i
\(701\) −26.1772 + 7.94077i −0.988699 + 0.299919i −0.742900 0.669402i \(-0.766550\pi\)
−0.245799 + 0.969321i \(0.579050\pi\)
\(702\) 6.79142 5.43241i 0.256326 0.205033i
\(703\) 1.95653i 0.0737919i
\(704\) 20.5360 + 3.59836i 0.773980 + 0.135618i
\(705\) 1.86751i 0.0703347i
\(706\) −26.6273 33.2886i −1.00213 1.25283i
\(707\) 0.578878 0.175601i 0.0217709 0.00660414i
\(708\) −3.67361 21.2411i −0.138063 0.798289i
\(709\) −30.5152 + 3.00549i −1.14602 + 0.112873i −0.653151 0.757228i \(-0.726553\pi\)
−0.492873 + 0.870101i \(0.664053\pi\)
\(710\) 14.8427 + 10.1893i 0.557038 + 0.382397i
\(711\) 11.0850 + 7.40678i 0.415721 + 0.277776i
\(712\) −17.7151 2.42094i −0.663903 0.0907285i
\(713\) −27.5446 41.2234i −1.03155 1.54383i
\(714\) 1.07428 1.04765i 0.0402040 0.0392075i
\(715\) −8.00567 14.9775i −0.299395 0.560129i
\(716\) −6.52438 + 19.7130i −0.243827 + 0.736711i
\(717\) −1.97402 + 20.0425i −0.0737210 + 0.748501i
\(718\) 2.96200 + 34.5073i 0.110541 + 1.28780i
\(719\) −2.83397 6.84181i −0.105689 0.255156i 0.862184 0.506595i \(-0.169096\pi\)
−0.967873 + 0.251439i \(0.919096\pi\)
\(720\) 1.02538 + 4.11281i 0.0382138 + 0.153275i
\(721\) −0.0970925 + 0.234402i −0.00361592 + 0.00872959i
\(722\) −24.5944 7.79895i −0.915310 0.290247i
\(723\) 3.52411 + 4.29414i 0.131063 + 0.159701i
\(724\) 7.96985 + 28.8613i 0.296197 + 1.07262i
\(725\) −8.01088 + 26.4083i −0.297517 + 0.980781i
\(726\) −2.34627 + 5.46926i −0.0870781 + 0.202983i
\(727\) 7.31693 + 1.45543i 0.271370 + 0.0539789i 0.328899 0.944365i \(-0.393322\pi\)
−0.0575294 + 0.998344i \(0.518322\pi\)
\(728\) −1.28444 2.08838i −0.0476044 0.0774005i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) 1.88508 + 2.89932i 0.0697698 + 0.107309i
\(731\) 12.8211 15.6225i 0.474204 0.577820i
\(732\) 4.85387 + 12.6039i 0.179404 + 0.465854i
\(733\) 31.0973 + 16.6219i 1.14861 + 0.613942i 0.932051 0.362328i \(-0.118018\pi\)
0.216555 + 0.976270i \(0.430518\pi\)
\(734\) 0.910408 1.65302i 0.0336038 0.0610141i
\(735\) −5.23025 5.23025i −0.192921 0.192921i
\(736\) 39.4453 + 36.7443i 1.45397 + 1.35441i
\(737\) −19.3279 + 19.3279i −0.711952 + 0.711952i
\(738\) 2.79857 + 9.66039i 0.103017 + 0.355604i
\(739\) 17.2427 32.2588i 0.634283 1.18666i −0.335349 0.942094i \(-0.608854\pi\)
0.969633 0.244566i \(-0.0786456\pi\)
\(740\) −3.28720 3.45647i −0.120840 0.127062i
\(741\) 4.13240 + 3.39137i 0.151808 + 0.124585i
\(742\) −0.352801 + 1.66424i −0.0129517 + 0.0610960i
\(743\) −11.4017 + 2.26794i −0.418288 + 0.0832026i −0.399747 0.916626i \(-0.630902\pi\)
−0.0185407 + 0.999828i \(0.505902\pi\)
\(744\) −10.7894 + 10.0062i −0.395558 + 0.366845i
\(745\) −0.320446 + 1.61099i −0.0117402 + 0.0590221i
\(746\) 1.79953 + 4.50346i 0.0658854 + 0.164883i
\(747\) −10.2608 3.11259i −0.375424 0.113884i
\(748\) −38.9371 4.82425i −1.42368 0.176392i
\(749\) 0.319607 0.262294i 0.0116782 0.00958403i
\(750\) −6.12342 11.8102i −0.223596 0.431248i
\(751\) 36.8545 + 15.2656i 1.34484 + 0.557051i 0.934852 0.355039i \(-0.115532\pi\)
0.409990 + 0.912090i \(0.365532\pi\)
\(752\) 5.22846 4.72830i 0.190662 0.172423i
\(753\) −7.02686 + 2.91062i −0.256073 + 0.106069i
\(754\) 47.3550 + 39.8681i 1.72457 + 1.45191i
\(755\) −1.32361 0.130364i −0.0481711 0.00474444i
\(756\) 0.281162 0.0205838i 0.0102258 0.000748625i
\(757\) 26.4216 14.1226i 0.960309 0.513296i 0.0847473 0.996402i \(-0.472992\pi\)
0.875561 + 0.483107i \(0.160492\pi\)
\(758\) −4.50420 0.0565204i −0.163600 0.00205291i
\(759\) 20.6499 13.7978i 0.749544 0.500829i
\(760\) −2.34244 + 1.14088i −0.0849692 + 0.0413839i
\(761\) 18.1829 27.2126i 0.659128 0.986455i −0.339815 0.940492i \(-0.610365\pi\)
0.998943 0.0459623i \(-0.0146354\pi\)
\(762\) 18.5554 3.44945i 0.672192 0.124961i
\(763\) 0.0540794 + 0.549078i 0.00195781 + 0.0198779i
\(764\) −3.79930 + 16.8755i −0.137454 + 0.610534i
\(765\) −2.31551 7.63321i −0.0837175 0.275979i
\(766\) −2.14323 + 19.2776i −0.0774382 + 0.696529i
\(767\) 66.2814 2.39328
\(768\) 8.91846 13.2839i 0.321817 0.479340i
\(769\) −1.43086 −0.0515983 −0.0257992 0.999667i \(-0.508213\pi\)
−0.0257992 + 0.999667i \(0.508213\pi\)
\(770\) 0.0608299 0.547143i 0.00219216 0.0197177i
\(771\) 5.65943 + 18.6567i 0.203820 + 0.671903i
\(772\) −1.20358 + 5.34600i −0.0433179 + 0.192407i
\(773\) 0.278167 + 2.82428i 0.0100050