Properties

Label 370.2.ba.a.207.1
Level $370$
Weight $2$
Character 370.207
Analytic conductor $2.954$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.ba (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(9\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 207.1
Character \(\chi\) \(=\) 370.207
Dual form 370.2.ba.a.143.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 - 0.342020i) q^{2} +(-2.80744 - 1.30913i) q^{3} +(0.766044 + 0.642788i) q^{4} +(0.849444 - 2.06844i) q^{5} +(2.19038 + 2.19038i) q^{6} +(2.78165 - 1.94773i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(4.23955 + 5.05250i) q^{9} +O(q^{10})\) \(q+(-0.939693 - 0.342020i) q^{2} +(-2.80744 - 1.30913i) q^{3} +(0.766044 + 0.642788i) q^{4} +(0.849444 - 2.06844i) q^{5} +(2.19038 + 2.19038i) q^{6} +(2.78165 - 1.94773i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(4.23955 + 5.05250i) q^{9} +(-1.50566 + 1.65317i) q^{10} +(2.76545 - 1.59663i) q^{11} +(-1.30913 - 2.80744i) q^{12} +(3.73489 + 3.13394i) q^{13} +(-3.28006 + 0.878891i) q^{14} +(-5.09263 + 4.69500i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-3.57133 - 4.25615i) q^{17} +(-2.25582 - 6.19781i) q^{18} +(0.735359 - 1.57698i) q^{19} +(1.98028 - 1.03851i) q^{20} +(-10.3592 + 1.82660i) q^{21} +(-3.14475 + 0.554505i) q^{22} +(3.62767 - 6.28330i) q^{23} +(0.269980 + 3.08588i) q^{24} +(-3.55689 - 3.51405i) q^{25} +(-2.43777 - 4.22235i) q^{26} +(-2.88270 - 10.7584i) q^{27} +(3.38285 + 0.295961i) q^{28} +(-2.49247 + 9.30204i) q^{29} +(6.39129 - 2.67007i) q^{30} +(1.89110 - 1.89110i) q^{31} +(0.173648 - 0.984808i) q^{32} +(-9.85404 + 0.862117i) q^{33} +(1.90027 + 5.22094i) q^{34} +(-1.66591 - 7.40818i) q^{35} +6.59557i q^{36} +(-4.17321 + 4.42541i) q^{37} +(-1.23037 + 1.23037i) q^{38} +(-6.38274 - 13.6878i) q^{39} +(-2.21604 + 0.298580i) q^{40} +(3.28050 - 3.90955i) q^{41} +(10.3592 + 1.82660i) q^{42} -5.53097 q^{43} +(3.14475 + 0.554505i) q^{44} +(14.0520 - 4.47744i) q^{45} +(-5.55791 + 4.66364i) q^{46} +(-5.01501 + 1.34377i) q^{47} +(0.801736 - 2.99212i) q^{48} +(1.54979 - 4.25800i) q^{49} +(2.14051 + 4.51865i) q^{50} +(4.45446 + 16.6243i) q^{51} +(0.846630 + 4.80148i) q^{52} +(2.75293 + 1.92762i) q^{53} +(-0.970731 + 11.0955i) q^{54} +(-0.953446 - 7.07641i) q^{55} +(-3.07761 - 1.43512i) q^{56} +(-4.12896 + 3.46461i) q^{57} +(5.52364 - 7.88858i) q^{58} +(-5.41631 - 3.79254i) q^{59} +(-6.91906 + 0.323097i) q^{60} +(6.12041 - 0.535467i) q^{61} +(-2.42385 + 1.13026i) q^{62} +(21.6339 + 5.79678i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(9.65495 - 5.06328i) q^{65} +(9.55463 + 2.56016i) q^{66} +(4.92385 + 7.03198i) q^{67} -5.55601i q^{68} +(-18.4101 + 12.8909i) q^{69} +(-0.968297 + 7.53118i) q^{70} +(-2.08921 + 0.760410i) q^{71} +(2.25582 - 6.19781i) q^{72} +(7.18937 + 7.18937i) q^{73} +(5.43512 - 2.73121i) q^{74} +(5.38542 + 14.5219i) q^{75} +(1.57698 - 0.735359i) q^{76} +(4.58270 - 9.82764i) q^{77} +(1.31630 + 15.0454i) q^{78} +(-4.48417 - 6.40406i) q^{79} +(2.18452 + 0.477358i) q^{80} +(-2.55520 + 14.4913i) q^{81} +(-4.41981 + 2.55178i) q^{82} +(-0.702397 + 8.02844i) q^{83} +(-9.10971 - 5.25949i) q^{84} +(-11.8372 + 3.77173i) q^{85} +(5.19741 + 1.89170i) q^{86} +(19.1751 - 22.8520i) q^{87} +(-2.76545 - 1.59663i) q^{88} +(9.05263 - 12.9285i) q^{89} +(-14.7360 - 0.598665i) q^{90} +(16.4933 + 1.44297i) q^{91} +(6.81778 - 2.48147i) q^{92} +(-7.78486 + 2.83346i) q^{93} +(5.17217 + 0.452506i) q^{94} +(-2.63725 - 2.86060i) q^{95} +(-1.77675 + 2.53746i) q^{96} +(-2.25635 - 1.30270i) q^{97} +(-2.91264 + 3.47115i) q^{98} +(19.7912 + 7.20342i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 6 q^{5} - 54 q^{8} + O(q^{10}) \) \( 108 q - 6 q^{3} + 6 q^{5} - 54 q^{8} - 12 q^{10} + 36 q^{11} - 6 q^{12} + 6 q^{13} + 12 q^{14} + 24 q^{15} + 12 q^{19} - 6 q^{20} - 42 q^{21} - 6 q^{22} - 6 q^{24} - 18 q^{25} - 6 q^{26} + 6 q^{27} - 12 q^{30} + 6 q^{33} - 54 q^{35} + 12 q^{37} + 48 q^{38} - 12 q^{40} + 48 q^{41} + 42 q^{42} + 6 q^{44} - 90 q^{45} + 6 q^{46} - 12 q^{47} - 12 q^{49} - 12 q^{50} - 12 q^{51} + 6 q^{52} + 36 q^{53} - 18 q^{54} + 36 q^{57} + 6 q^{58} + 24 q^{59} - 54 q^{60} - 36 q^{61} + 54 q^{62} - 96 q^{63} - 54 q^{64} - 18 q^{65} - 42 q^{67} - 96 q^{69} - 12 q^{70} - 48 q^{71} + 84 q^{73} + 42 q^{74} + 252 q^{75} - 6 q^{76} - 66 q^{77} - 24 q^{78} + 66 q^{79} + 6 q^{80} - 108 q^{81} + 36 q^{82} + 48 q^{83} - 36 q^{85} + 108 q^{87} - 36 q^{88} - 66 q^{89} + 6 q^{90} - 18 q^{91} - 12 q^{92} - 12 q^{93} + 18 q^{94} + 90 q^{95} + 12 q^{96} - 72 q^{97} - 24 q^{98} - 42 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{31}{36}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 0.342020i −0.664463 0.241845i
\(3\) −2.80744 1.30913i −1.62088 0.755828i −0.621264 0.783601i \(-0.713381\pi\)
−0.999614 + 0.0277732i \(0.991158\pi\)
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) 0.849444 2.06844i 0.379883 0.925035i
\(6\) 2.19038 + 2.19038i 0.894221 + 0.894221i
\(7\) 2.78165 1.94773i 1.05137 0.736175i 0.0857949 0.996313i \(-0.472657\pi\)
0.965571 + 0.260138i \(0.0837681\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) 4.23955 + 5.05250i 1.41318 + 1.68417i
\(10\) −1.50566 + 1.65317i −0.476133 + 0.522779i
\(11\) 2.76545 1.59663i 0.833814 0.481403i −0.0213427 0.999772i \(-0.506794\pi\)
0.855157 + 0.518369i \(0.173461\pi\)
\(12\) −1.30913 2.80744i −0.377914 0.810439i
\(13\) 3.73489 + 3.13394i 1.03587 + 0.869199i 0.991538 0.129817i \(-0.0414391\pi\)
0.0443336 + 0.999017i \(0.485884\pi\)
\(14\) −3.28006 + 0.878891i −0.876634 + 0.234893i
\(15\) −5.09263 + 4.69500i −1.31491 + 1.21224i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) −3.57133 4.25615i −0.866176 1.03227i −0.999153 0.0411491i \(-0.986898\pi\)
0.132977 0.991119i \(-0.457546\pi\)
\(18\) −2.25582 6.19781i −0.531701 1.46084i
\(19\) 0.735359 1.57698i 0.168703 0.361785i −0.803721 0.595007i \(-0.797149\pi\)
0.972423 + 0.233223i \(0.0749270\pi\)
\(20\) 1.98028 1.03851i 0.442804 0.232217i
\(21\) −10.3592 + 1.82660i −2.26056 + 0.398597i
\(22\) −3.14475 + 0.554505i −0.670463 + 0.118221i
\(23\) 3.62767 6.28330i 0.756421 1.31016i −0.188244 0.982122i \(-0.560280\pi\)
0.944665 0.328037i \(-0.106387\pi\)
\(24\) 0.269980 + 3.08588i 0.0551094 + 0.629903i
\(25\) −3.55689 3.51405i −0.711378 0.702809i
\(26\) −2.43777 4.22235i −0.478087 0.828071i
\(27\) −2.88270 10.7584i −0.554775 2.07045i
\(28\) 3.38285 + 0.295961i 0.639299 + 0.0559314i
\(29\) −2.49247 + 9.30204i −0.462841 + 1.72735i 0.201110 + 0.979569i \(0.435545\pi\)
−0.663950 + 0.747777i \(0.731121\pi\)
\(30\) 6.39129 2.67007i 1.16688 0.487486i
\(31\) 1.89110 1.89110i 0.339652 0.339652i −0.516585 0.856236i \(-0.672797\pi\)
0.856236 + 0.516585i \(0.172797\pi\)
\(32\) 0.173648 0.984808i 0.0306970 0.174091i
\(33\) −9.85404 + 0.862117i −1.71537 + 0.150075i
\(34\) 1.90027 + 5.22094i 0.325893 + 0.895384i
\(35\) −1.66591 7.40818i −0.281591 1.25221i
\(36\) 6.59557i 1.09926i
\(37\) −4.17321 + 4.42541i −0.686072 + 0.727533i
\(38\) −1.23037 + 1.23037i −0.199593 + 0.199593i
\(39\) −6.38274 13.6878i −1.02206 2.19181i
\(40\) −2.21604 + 0.298580i −0.350387 + 0.0472097i
\(41\) 3.28050 3.90955i 0.512328 0.610569i −0.446421 0.894823i \(-0.647301\pi\)
0.958749 + 0.284254i \(0.0917459\pi\)
\(42\) 10.3592 + 1.82660i 1.59846 + 0.281851i
\(43\) −5.53097 −0.843465 −0.421732 0.906720i \(-0.638578\pi\)
−0.421732 + 0.906720i \(0.638578\pi\)
\(44\) 3.14475 + 0.554505i 0.474089 + 0.0835947i
\(45\) 14.0520 4.47744i 2.09476 0.667458i
\(46\) −5.55791 + 4.66364i −0.819469 + 0.687616i
\(47\) −5.01501 + 1.34377i −0.731515 + 0.196009i −0.605304 0.795995i \(-0.706948\pi\)
−0.126211 + 0.992003i \(0.540282\pi\)
\(48\) 0.801736 2.99212i 0.115721 0.431875i
\(49\) 1.54979 4.25800i 0.221398 0.608286i
\(50\) 2.14051 + 4.51865i 0.302714 + 0.639034i
\(51\) 4.45446 + 16.6243i 0.623749 + 2.32786i
\(52\) 0.846630 + 4.80148i 0.117407 + 0.665845i
\(53\) 2.75293 + 1.92762i 0.378144 + 0.264780i 0.747161 0.664643i \(-0.231416\pi\)
−0.369016 + 0.929423i \(0.620305\pi\)
\(54\) −0.970731 + 11.0955i −0.132100 + 1.50991i
\(55\) −0.953446 7.07641i −0.128563 0.954183i
\(56\) −3.07761 1.43512i −0.411264 0.191775i
\(57\) −4.12896 + 3.46461i −0.546894 + 0.458898i
\(58\) 5.52364 7.88858i 0.725290 1.03582i
\(59\) −5.41631 3.79254i −0.705144 0.493747i 0.165157 0.986267i \(-0.447187\pi\)
−0.870301 + 0.492520i \(0.836076\pi\)
\(60\) −6.91906 + 0.323097i −0.893247 + 0.0417116i
\(61\) 6.12041 0.535467i 0.783638 0.0685595i 0.311688 0.950185i \(-0.399106\pi\)
0.471950 + 0.881625i \(0.343550\pi\)
\(62\) −2.42385 + 1.13026i −0.307829 + 0.143543i
\(63\) 21.6339 + 5.79678i 2.72561 + 0.730326i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 9.65495 5.06328i 1.19755 0.628023i
\(66\) 9.55463 + 2.56016i 1.17609 + 0.315133i
\(67\) 4.92385 + 7.03198i 0.601544 + 0.859093i 0.998267 0.0588448i \(-0.0187417\pi\)
−0.396724 + 0.917938i \(0.629853\pi\)
\(68\) 5.55601i 0.673765i
\(69\) −18.4101 + 12.8909i −2.21632 + 1.55188i
\(70\) −0.968297 + 7.53118i −0.115734 + 0.900149i
\(71\) −2.08921 + 0.760410i −0.247943 + 0.0902440i −0.463002 0.886357i \(-0.653228\pi\)
0.215059 + 0.976601i \(0.431006\pi\)
\(72\) 2.25582 6.19781i 0.265851 0.730419i
\(73\) 7.18937 + 7.18937i 0.841452 + 0.841452i 0.989048 0.147596i \(-0.0471534\pi\)
−0.147596 + 0.989048i \(0.547153\pi\)
\(74\) 5.43512 2.73121i 0.631820 0.317496i
\(75\) 5.38542 + 14.5219i 0.621854 + 1.67685i
\(76\) 1.57698 0.735359i 0.180892 0.0843514i
\(77\) 4.58270 9.82764i 0.522248 1.11996i
\(78\) 1.31630 + 15.0454i 0.149042 + 1.70355i
\(79\) −4.48417 6.40406i −0.504509 0.720513i 0.483426 0.875385i \(-0.339392\pi\)
−0.987935 + 0.154872i \(0.950503\pi\)
\(80\) 2.18452 + 0.477358i 0.244237 + 0.0533702i
\(81\) −2.55520 + 14.4913i −0.283911 + 1.61014i
\(82\) −4.41981 + 2.55178i −0.488086 + 0.281797i
\(83\) −0.702397 + 8.02844i −0.0770981 + 0.881236i 0.854905 + 0.518785i \(0.173615\pi\)
−0.932003 + 0.362451i \(0.881940\pi\)
\(84\) −9.10971 5.25949i −0.993951 0.573858i
\(85\) −11.8372 + 3.77173i −1.28393 + 0.409102i
\(86\) 5.19741 + 1.89170i 0.560451 + 0.203988i
\(87\) 19.1751 22.8520i 2.05578 2.44999i
\(88\) −2.76545 1.59663i −0.294798 0.170202i
\(89\) 9.05263 12.9285i 0.959577 1.37042i 0.0309030 0.999522i \(-0.490162\pi\)
0.928674 0.370896i \(-0.120949\pi\)
\(90\) −14.7360 0.598665i −1.55331 0.0631048i
\(91\) 16.4933 + 1.44297i 1.72896 + 0.151265i
\(92\) 6.81778 2.48147i 0.710803 0.258711i
\(93\) −7.78486 + 2.83346i −0.807252 + 0.293816i
\(94\) 5.17217 + 0.452506i 0.533468 + 0.0466724i
\(95\) −2.63725 2.86060i −0.270576 0.293492i
\(96\) −1.77675 + 2.53746i −0.181339 + 0.258979i
\(97\) −2.25635 1.30270i −0.229097 0.132269i 0.381058 0.924551i \(-0.375560\pi\)
−0.610156 + 0.792282i \(0.708893\pi\)
\(98\) −2.91264 + 3.47115i −0.294221 + 0.350639i
\(99\) 19.7912 + 7.20342i 1.98909 + 0.723971i
\(100\) −0.465950 4.97824i −0.0465950 0.497824i
\(101\) −7.30743 4.21895i −0.727117 0.419801i 0.0902496 0.995919i \(-0.471234\pi\)
−0.817366 + 0.576118i \(0.804567\pi\)
\(102\) 1.50001 17.1452i 0.148523 1.69763i
\(103\) −6.24661 + 3.60648i −0.615497 + 0.355357i −0.775114 0.631822i \(-0.782307\pi\)
0.159617 + 0.987179i \(0.448974\pi\)
\(104\) 0.846630 4.80148i 0.0830189 0.470824i
\(105\) −5.02132 + 22.9789i −0.490031 + 2.24251i
\(106\) −1.92762 2.75293i −0.187227 0.267388i
\(107\) −0.676542 7.73292i −0.0654038 0.747569i −0.956113 0.292997i \(-0.905348\pi\)
0.890710 0.454573i \(-0.150208\pi\)
\(108\) 4.70707 10.0944i 0.452938 0.971330i
\(109\) −2.55259 + 1.19029i −0.244493 + 0.114009i −0.541003 0.841021i \(-0.681955\pi\)
0.296509 + 0.955030i \(0.404177\pi\)
\(110\) −1.52433 + 6.97575i −0.145339 + 0.665112i
\(111\) 17.5095 6.96081i 1.66193 0.660691i
\(112\) 2.40117 + 2.40117i 0.226890 + 0.226890i
\(113\) −0.248207 + 0.681944i −0.0233494 + 0.0641519i −0.950820 0.309745i \(-0.899756\pi\)
0.927470 + 0.373897i \(0.121979\pi\)
\(114\) 5.06492 1.84348i 0.474373 0.172658i
\(115\) −9.91514 12.8409i −0.924591 1.19742i
\(116\) −7.88858 + 5.52364i −0.732436 + 0.512858i
\(117\) 32.1570i 2.97292i
\(118\) 3.79254 + 5.41631i 0.349132 + 0.498612i
\(119\) −18.2241 4.88312i −1.67060 0.447635i
\(120\) 6.61230 + 2.06285i 0.603618 + 0.188311i
\(121\) −0.401530 + 0.695471i −0.0365028 + 0.0632246i
\(122\) −5.93445 1.59013i −0.537279 0.143964i
\(123\) −14.3279 + 6.68123i −1.29191 + 0.602426i
\(124\) 2.66424 0.233091i 0.239256 0.0209322i
\(125\) −10.2900 + 4.37223i −0.920363 + 0.391064i
\(126\) −18.3466 12.8464i −1.63444 1.14445i
\(127\) −7.72952 + 11.0389i −0.685884 + 0.979544i 0.313665 + 0.949534i \(0.398443\pi\)
−0.999550 + 0.0300106i \(0.990446\pi\)
\(128\) 0.766044 0.642788i 0.0677094 0.0568149i
\(129\) 15.5279 + 7.24077i 1.36715 + 0.637514i
\(130\) −10.8044 + 1.45574i −0.947611 + 0.127677i
\(131\) −0.221711 + 2.53416i −0.0193709 + 0.221411i 0.980339 + 0.197321i \(0.0632242\pi\)
−0.999710 + 0.0240895i \(0.992331\pi\)
\(132\) −8.10279 5.67364i −0.705258 0.493827i
\(133\) −1.02603 5.81890i −0.0889680 0.504563i
\(134\) −2.22182 8.29196i −0.191936 0.716316i
\(135\) −24.7017 3.17595i −2.12599 0.273342i
\(136\) −1.90027 + 5.22094i −0.162947 + 0.447692i
\(137\) 1.32699 4.95238i 0.113372 0.423110i −0.885788 0.464090i \(-0.846381\pi\)
0.999160 + 0.0409799i \(0.0130480\pi\)
\(138\) 21.7088 5.81686i 1.84798 0.495164i
\(139\) 8.66372 7.26972i 0.734847 0.616610i −0.196601 0.980484i \(-0.562990\pi\)
0.931448 + 0.363874i \(0.118546\pi\)
\(140\) 3.48572 6.74582i 0.294597 0.570126i
\(141\) 15.8385 + 2.79276i 1.33385 + 0.235193i
\(142\) 2.22329 0.186574
\(143\) 15.3324 + 2.70351i 1.28216 + 0.226079i
\(144\) −4.23955 + 5.05250i −0.353296 + 0.421042i
\(145\) 17.1235 + 13.0571i 1.42203 + 1.08433i
\(146\) −4.29689 9.21471i −0.355613 0.762615i
\(147\) −9.92522 + 9.92522i −0.818618 + 0.818618i
\(148\) −6.04147 + 0.707573i −0.496606 + 0.0581622i
\(149\) 8.30267i 0.680181i −0.940393 0.340090i \(-0.889542\pi\)
0.940393 0.340090i \(-0.110458\pi\)
\(150\) −0.0938428 15.4881i −0.00766224 1.26460i
\(151\) 1.17942 + 3.24043i 0.0959799 + 0.263703i 0.978386 0.206785i \(-0.0663001\pi\)
−0.882406 + 0.470488i \(0.844078\pi\)
\(152\) −1.73339 + 0.151652i −0.140596 + 0.0123006i
\(153\) 6.36334 36.0883i 0.514446 2.91757i
\(154\) −7.66758 + 7.66758i −0.617871 + 0.617871i
\(155\) −2.30524 5.51801i −0.185162 0.443217i
\(156\) 3.90891 14.5882i 0.312963 1.16799i
\(157\) −0.801452 0.0701180i −0.0639629 0.00559603i 0.0551294 0.998479i \(-0.482443\pi\)
−0.119092 + 0.992883i \(0.537998\pi\)
\(158\) 2.02343 + 7.55153i 0.160975 + 0.600767i
\(159\) −5.20519 9.01565i −0.412798 0.714988i
\(160\) −1.88951 1.19572i −0.149379 0.0945299i
\(161\) −2.14730 24.5437i −0.169231 1.93432i
\(162\) 7.35741 12.7434i 0.578052 1.00122i
\(163\) −2.85275 + 0.503016i −0.223444 + 0.0393993i −0.284249 0.958750i \(-0.591744\pi\)
0.0608049 + 0.998150i \(0.480633\pi\)
\(164\) 5.02602 0.886223i 0.392466 0.0692024i
\(165\) −6.58722 + 21.1148i −0.512814 + 1.64379i
\(166\) 3.40593 7.30403i 0.264351 0.566903i
\(167\) −0.648176 1.78085i −0.0501574 0.137806i 0.912084 0.410003i \(-0.134472\pi\)
−0.962242 + 0.272196i \(0.912250\pi\)
\(168\) 6.76147 + 8.05801i 0.521659 + 0.621689i
\(169\) 1.87036 + 10.6074i 0.143874 + 0.815950i
\(170\) 12.4134 + 0.504307i 0.952063 + 0.0386786i
\(171\) 11.0853 2.97029i 0.847713 0.227144i
\(172\) −4.23697 3.55524i −0.323066 0.271084i
\(173\) 1.73011 + 3.71024i 0.131538 + 0.282084i 0.961035 0.276427i \(-0.0891505\pi\)
−0.829497 + 0.558511i \(0.811373\pi\)
\(174\) −25.8345 + 14.9156i −1.95851 + 1.13075i
\(175\) −16.7385 2.84698i −1.26531 0.215212i
\(176\) 2.05259 + 2.44618i 0.154720 + 0.184388i
\(177\) 10.2411 + 17.7380i 0.769765 + 1.33327i
\(178\) −12.9285 + 9.05263i −0.969032 + 0.678524i
\(179\) 13.2723 + 13.2723i 0.992020 + 0.992020i 0.999968 0.00794872i \(-0.00253018\pi\)
−0.00794872 + 0.999968i \(0.502530\pi\)
\(180\) 13.6425 + 5.60256i 1.01685 + 0.417590i
\(181\) 6.89719 + 5.78743i 0.512664 + 0.430176i 0.862066 0.506797i \(-0.169171\pi\)
−0.349401 + 0.936973i \(0.613615\pi\)
\(182\) −15.0051 6.99698i −1.11225 0.518650i
\(183\) −17.8837 6.50914i −1.32200 0.481169i
\(184\) −7.25533 −0.534870
\(185\) 5.60879 + 12.3912i 0.412367 + 0.911018i
\(186\) 8.28447 0.607447
\(187\) −16.6718 6.06806i −1.21917 0.443740i
\(188\) −4.70548 2.19420i −0.343183 0.160029i
\(189\) −28.9731 24.3113i −2.10748 1.76839i
\(190\) 1.49982 + 3.59008i 0.108808 + 0.260452i
\(191\) 10.6991 + 10.6991i 0.774161 + 0.774161i 0.978831 0.204670i \(-0.0656120\pi\)
−0.204670 + 0.978831i \(0.565612\pi\)
\(192\) 2.53746 1.77675i 0.183126 0.128226i
\(193\) 4.01714 + 6.95788i 0.289160 + 0.500839i 0.973609 0.228221i \(-0.0732908\pi\)
−0.684450 + 0.729060i \(0.739957\pi\)
\(194\) 1.67472 + 1.99586i 0.120238 + 0.143294i
\(195\) −33.7342 + 1.57527i −2.41576 + 0.112808i
\(196\) 3.92419 2.26563i 0.280300 0.161831i
\(197\) 4.09348 + 8.77851i 0.291649 + 0.625443i 0.996471 0.0839415i \(-0.0267509\pi\)
−0.704822 + 0.709384i \(0.748973\pi\)
\(198\) −16.1340 13.5380i −1.14659 0.962104i
\(199\) 10.6651 2.85770i 0.756027 0.202577i 0.139837 0.990174i \(-0.455342\pi\)
0.616190 + 0.787598i \(0.288675\pi\)
\(200\) −1.26481 + 4.83738i −0.0894355 + 0.342055i
\(201\) −4.61763 26.1879i −0.325702 1.84715i
\(202\) 5.42378 + 6.46381i 0.381616 + 0.454792i
\(203\) 11.1847 + 30.7297i 0.785013 + 2.15680i
\(204\) −7.27355 + 15.5982i −0.509251 + 1.09209i
\(205\) −5.30007 10.1065i −0.370173 0.705866i
\(206\) 7.10338 1.25252i 0.494916 0.0872671i
\(207\) 47.1261 8.30959i 3.27549 0.577557i
\(208\) −2.43777 + 4.22235i −0.169029 + 0.292767i
\(209\) −0.484264 5.53516i −0.0334972 0.382875i
\(210\) 12.5778 19.8757i 0.867948 1.37156i
\(211\) −5.29674 9.17422i −0.364643 0.631579i 0.624076 0.781364i \(-0.285475\pi\)
−0.988719 + 0.149784i \(0.952142\pi\)
\(212\) 0.869816 + 3.24620i 0.0597392 + 0.222950i
\(213\) 6.86081 + 0.600243i 0.470095 + 0.0411280i
\(214\) −2.00907 + 7.49796i −0.137337 + 0.512550i
\(215\) −4.69825 + 11.4405i −0.320418 + 0.780234i
\(216\) −7.87568 + 7.87568i −0.535872 + 0.535872i
\(217\) 1.57702 8.94375i 0.107055 0.607141i
\(218\) 2.80575 0.245471i 0.190029 0.0166254i
\(219\) −10.7719 29.5956i −0.727899 1.99988i
\(220\) 3.81825 6.03371i 0.257426 0.406793i
\(221\) 27.0886i 1.82218i
\(222\) −18.8343 + 0.552414i −1.26408 + 0.0370756i
\(223\) 12.6172 12.6172i 0.844910 0.844910i −0.144582 0.989493i \(-0.546184\pi\)
0.989493 + 0.144582i \(0.0461839\pi\)
\(224\) −1.43512 3.07761i −0.0958877 0.205632i
\(225\) 2.67511 32.8692i 0.178340 2.19128i
\(226\) 0.466477 0.555926i 0.0310296 0.0369796i
\(227\) −1.50953 0.266171i −0.100191 0.0176664i 0.123328 0.992366i \(-0.460643\pi\)
−0.223519 + 0.974700i \(0.571754\pi\)
\(228\) −5.38997 −0.356960
\(229\) −3.45890 0.609898i −0.228571 0.0403032i 0.0581895 0.998306i \(-0.481467\pi\)
−0.286760 + 0.958002i \(0.592578\pi\)
\(230\) 4.92533 + 15.4577i 0.324766 + 1.01925i
\(231\) −25.7314 + 21.5912i −1.69300 + 1.42060i
\(232\) 9.30204 2.49247i 0.610709 0.163639i
\(233\) −3.94075 + 14.7071i −0.258167 + 0.963494i 0.708133 + 0.706079i \(0.249538\pi\)
−0.966301 + 0.257415i \(0.917129\pi\)
\(234\) 10.9983 30.2177i 0.718985 1.97539i
\(235\) −1.48047 + 11.5147i −0.0965750 + 0.751137i
\(236\) −1.71134 6.38680i −0.111399 0.415745i
\(237\) 4.20530 + 23.8494i 0.273163 + 1.54919i
\(238\) 15.4549 + 10.8216i 1.00179 + 0.701462i
\(239\) −2.38350 + 27.2436i −0.154176 + 1.76224i 0.387703 + 0.921784i \(0.373269\pi\)
−0.541879 + 0.840457i \(0.682287\pi\)
\(240\) −5.50799 4.19998i −0.355539 0.271108i
\(241\) 9.69664 + 4.52162i 0.624616 + 0.291263i 0.709042 0.705167i \(-0.249128\pi\)
−0.0844258 + 0.996430i \(0.526906\pi\)
\(242\) 0.615180 0.516197i 0.0395453 0.0331824i
\(243\) 6.97927 9.96743i 0.447721 0.639411i
\(244\) 5.03270 + 3.52393i 0.322186 + 0.225597i
\(245\) −7.49096 6.82257i −0.478580 0.435878i
\(246\) 15.7490 1.37786i 1.00412 0.0878490i
\(247\) 7.68865 3.58528i 0.489217 0.228126i
\(248\) −2.58329 0.692191i −0.164039 0.0439542i
\(249\) 12.4822 21.6199i 0.791029 1.37010i
\(250\) 11.1648 0.589173i 0.706124 0.0372626i
\(251\) −10.6039 2.84130i −0.669311 0.179341i −0.0918665 0.995771i \(-0.529283\pi\)
−0.577444 + 0.816430i \(0.695950\pi\)
\(252\) 12.8464 + 18.3466i 0.809248 + 1.15573i
\(253\) 23.1682i 1.45657i
\(254\) 11.0389 7.72952i 0.692642 0.484993i
\(255\) 38.1701 + 4.90759i 2.39030 + 0.307325i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 8.61043 23.6570i 0.537104 1.47568i −0.313353 0.949637i \(-0.601452\pi\)
0.850457 0.526044i \(-0.176325\pi\)
\(258\) −12.1149 12.1149i −0.754244 0.754244i
\(259\) −2.98890 + 20.4383i −0.185721 + 1.26997i
\(260\) 10.6507 + 2.32738i 0.660531 + 0.144338i
\(261\) −57.5655 + 26.8432i −3.56322 + 1.66155i
\(262\) 1.07507 2.30551i 0.0664183 0.142435i
\(263\) −1.28852 14.7279i −0.0794536 0.908159i −0.926415 0.376504i \(-0.877126\pi\)
0.846961 0.531655i \(-0.178430\pi\)
\(264\) 5.67364 + 8.10279i 0.349188 + 0.498692i
\(265\) 6.32564 4.05687i 0.388581 0.249211i
\(266\) −1.02603 + 5.81890i −0.0629099 + 0.356780i
\(267\) −42.3399 + 24.4449i −2.59116 + 1.49601i
\(268\) −0.748185 + 8.55180i −0.0457027 + 0.522384i
\(269\) 15.0420 + 8.68449i 0.917126 + 0.529503i 0.882717 0.469905i \(-0.155712\pi\)
0.0344087 + 0.999408i \(0.489045\pi\)
\(270\) 22.1258 + 11.4329i 1.34653 + 0.695785i
\(271\) −12.9819 4.72502i −0.788593 0.287024i −0.0838420 0.996479i \(-0.526719\pi\)
−0.704751 + 0.709455i \(0.748941\pi\)
\(272\) 3.57133 4.25615i 0.216544 0.258067i
\(273\) −44.4148 25.6429i −2.68811 1.55198i
\(274\) −2.94077 + 4.19986i −0.177659 + 0.253723i
\(275\) −15.4470 4.03887i −0.931491 0.243553i
\(276\) −22.3891 1.95879i −1.34767 0.117906i
\(277\) −9.00492 + 3.27752i −0.541053 + 0.196927i −0.598067 0.801446i \(-0.704064\pi\)
0.0570138 + 0.998373i \(0.481842\pi\)
\(278\) −10.6276 + 3.86814i −0.637403 + 0.231996i
\(279\) 17.5722 + 1.53737i 1.05202 + 0.0920398i
\(280\) −5.58271 + 5.14681i −0.333631 + 0.307581i
\(281\) −8.49108 + 12.1265i −0.506535 + 0.723408i −0.988237 0.152928i \(-0.951130\pi\)
0.481702 + 0.876335i \(0.340019\pi\)
\(282\) −13.9282 8.04144i −0.829411 0.478861i
\(283\) 13.8732 16.5334i 0.824674 0.982809i −0.175324 0.984511i \(-0.556097\pi\)
0.999999 + 0.00170198i \(0.000541759\pi\)
\(284\) −2.08921 0.760410i −0.123972 0.0451220i
\(285\) 3.65901 + 11.4835i 0.216741 + 0.680223i
\(286\) −13.4831 7.78446i −0.797271 0.460305i
\(287\) 1.51045 17.2646i 0.0891593 1.01910i
\(288\) 5.71193 3.29778i 0.336579 0.194324i
\(289\) −2.40837 + 13.6585i −0.141669 + 0.803444i
\(290\) −11.6250 18.1262i −0.682646 1.06441i
\(291\) 4.62916 + 6.61113i 0.271366 + 0.387551i
\(292\) 0.886139 + 10.1286i 0.0518574 + 0.592732i
\(293\) −8.03333 + 17.2275i −0.469312 + 1.00644i 0.519109 + 0.854708i \(0.326264\pi\)
−0.988421 + 0.151735i \(0.951514\pi\)
\(294\) 12.7213 5.93203i 0.741920 0.345963i
\(295\) −12.4455 + 7.98177i −0.724605 + 0.464716i
\(296\) 5.91913 + 1.40140i 0.344042 + 0.0814549i
\(297\) −25.1491 25.1491i −1.45930 1.45930i
\(298\) −2.83968 + 7.80195i −0.164498 + 0.451955i
\(299\) 33.2404 12.0985i 1.92234 0.699676i
\(300\) −5.20905 + 14.5861i −0.300745 + 0.842130i
\(301\) −15.3852 + 10.7729i −0.886790 + 0.620937i
\(302\) 3.44840i 0.198433i
\(303\) 14.9920 + 21.4109i 0.861271 + 1.23002i
\(304\) 1.68072 + 0.450347i 0.0963958 + 0.0258292i
\(305\) 4.09136 13.1146i 0.234271 0.750937i
\(306\) −18.3225 + 31.7355i −1.04743 + 1.81420i
\(307\) 4.12154 + 1.10436i 0.235229 + 0.0630293i 0.374508 0.927224i \(-0.377812\pi\)
−0.139279 + 0.990253i \(0.544478\pi\)
\(308\) 9.82764 4.58270i 0.559982 0.261124i
\(309\) 22.2584 1.94735i 1.26623 0.110781i
\(310\) 0.278950 + 5.97367i 0.0158433 + 0.339282i
\(311\) 16.1665 + 11.3199i 0.916720 + 0.641894i 0.933737 0.357961i \(-0.116528\pi\)
−0.0170163 + 0.999855i \(0.505417\pi\)
\(312\) −8.66264 + 12.3715i −0.490425 + 0.700400i
\(313\) 0.865727 0.726431i 0.0489338 0.0410603i −0.617993 0.786184i \(-0.712054\pi\)
0.666927 + 0.745123i \(0.267609\pi\)
\(314\) 0.729137 + 0.340002i 0.0411476 + 0.0191874i
\(315\) 30.3671 39.8244i 1.71099 2.24385i
\(316\) 0.681376 7.78817i 0.0383304 0.438119i
\(317\) 10.8079 + 7.56779i 0.607033 + 0.425049i 0.836267 0.548322i \(-0.184733\pi\)
−0.229234 + 0.973371i \(0.573622\pi\)
\(318\) 1.80774 + 10.2522i 0.101373 + 0.574916i
\(319\) 7.95913 + 29.7039i 0.445626 + 1.66310i
\(320\) 1.36660 + 1.76986i 0.0763953 + 0.0989382i
\(321\) −8.22406 + 22.5954i −0.459022 + 1.26115i
\(322\) −6.37664 + 23.7980i −0.355356 + 1.32621i
\(323\) −9.33809 + 2.50213i −0.519585 + 0.139222i
\(324\) −11.2722 + 9.45850i −0.626233 + 0.525472i
\(325\) −2.27176 24.2717i −0.126015 1.34635i
\(326\) 2.85275 + 0.503016i 0.157999 + 0.0278595i
\(327\) 8.72449 0.482466
\(328\) −5.02602 0.886223i −0.277516 0.0489335i
\(329\) −11.3327 + 13.5058i −0.624793 + 0.744600i
\(330\) 13.4117 17.5885i 0.738287 0.968214i
\(331\) 4.45935 + 9.56310i 0.245108 + 0.525635i 0.989918 0.141641i \(-0.0452378\pi\)
−0.744810 + 0.667276i \(0.767460\pi\)
\(332\) −5.69865 + 5.69865i −0.312754 + 0.312754i
\(333\) −40.0519 2.32340i −2.19483 0.127321i
\(334\) 1.89514i 0.103697i
\(335\) 18.7278 4.21141i 1.02321 0.230094i
\(336\) −3.59771 9.88461i −0.196271 0.539250i
\(337\) 27.9477 2.44511i 1.52241 0.133194i 0.704983 0.709225i \(-0.250955\pi\)
0.817428 + 0.576031i \(0.195399\pi\)
\(338\) 1.87036 10.6074i 0.101734 0.576964i
\(339\) 1.58958 1.58958i 0.0863343 0.0863343i
\(340\) −11.4923 4.71952i −0.623256 0.255952i
\(341\) 2.21035 8.24913i 0.119697 0.446716i
\(342\) −11.4327 1.00023i −0.618208 0.0540862i
\(343\) 2.16974 + 8.09760i 0.117155 + 0.437229i
\(344\) 2.76548 + 4.78996i 0.149105 + 0.258257i
\(345\) 11.0257 + 49.0304i 0.593605 + 2.63971i
\(346\) −0.356797 4.07821i −0.0191816 0.219246i
\(347\) −3.47655 + 6.02157i −0.186631 + 0.323255i −0.944125 0.329588i \(-0.893090\pi\)
0.757494 + 0.652842i \(0.226424\pi\)
\(348\) 29.3779 5.18012i 1.57482 0.277684i
\(349\) 12.9252 2.27907i 0.691873 0.121996i 0.183354 0.983047i \(-0.441304\pi\)
0.508518 + 0.861051i \(0.330193\pi\)
\(350\) 14.7553 + 8.40018i 0.788704 + 0.449009i
\(351\) 22.9496 49.2155i 1.22496 2.62693i
\(352\) −1.09216 3.00069i −0.0582124 0.159937i
\(353\) −3.83892 4.57504i −0.204325 0.243505i 0.654145 0.756369i \(-0.273029\pi\)
−0.858470 + 0.512865i \(0.828584\pi\)
\(354\) −3.55668 20.1709i −0.189035 1.07207i
\(355\) −0.201803 + 4.96733i −0.0107106 + 0.263638i
\(356\) 15.2450 4.08489i 0.807983 0.216499i
\(357\) 44.7704 + 37.5668i 2.36950 + 1.98825i
\(358\) −7.93250 17.0113i −0.419246 0.899075i
\(359\) −30.1314 + 17.3964i −1.59027 + 0.918144i −0.597013 + 0.802231i \(0.703646\pi\)
−0.993259 + 0.115913i \(0.963021\pi\)
\(360\) −10.9036 9.93071i −0.574670 0.523394i
\(361\) 10.2668 + 12.2355i 0.540360 + 0.643976i
\(362\) −4.50182 7.79738i −0.236610 0.409821i
\(363\) 2.03774 1.42684i 0.106953 0.0748896i
\(364\) 11.7070 + 11.7070i 0.613616 + 0.613616i
\(365\) 20.9777 8.76382i 1.09803 0.458719i
\(366\) 14.5789 + 12.2332i 0.762053 + 0.639438i
\(367\) 18.6918 + 8.71612i 0.975703 + 0.454978i 0.844019 0.536314i \(-0.180184\pi\)
0.131684 + 0.991292i \(0.457962\pi\)
\(368\) 6.81778 + 2.48147i 0.355402 + 0.129356i
\(369\) 33.6608 1.75231
\(370\) −1.03251 13.5622i −0.0536775 0.705066i
\(371\) 11.4122 0.592492
\(372\) −7.78486 2.83346i −0.403626 0.146908i
\(373\) 30.5138 + 14.2288i 1.57995 + 0.736741i 0.997119 0.0758561i \(-0.0241690\pi\)
0.582826 + 0.812597i \(0.301947\pi\)
\(374\) 13.5910 + 11.4042i 0.702775 + 0.589698i
\(375\) 34.6124 + 1.19615i 1.78737 + 0.0617690i
\(376\) 3.67124 + 3.67124i 0.189330 + 0.189330i
\(377\) −38.4612 + 26.9308i −1.98085 + 1.38701i
\(378\) 18.9109 + 32.7546i 0.972670 + 1.68471i
\(379\) −2.32812 2.77455i −0.119588 0.142519i 0.702929 0.711260i \(-0.251875\pi\)
−0.822517 + 0.568741i \(0.807431\pi\)
\(380\) −0.181488 3.88654i −0.00931015 0.199375i
\(381\) 36.1516 20.8721i 1.85210 1.06931i
\(382\) −6.39457 13.7132i −0.327175 0.701629i
\(383\) −15.7781 13.2394i −0.806221 0.676500i 0.143482 0.989653i \(-0.454170\pi\)
−0.949703 + 0.313153i \(0.898615\pi\)
\(384\) −2.99212 + 0.801736i −0.152691 + 0.0409134i
\(385\) −16.4351 17.8271i −0.837612 0.908552i
\(386\) −1.39514 7.91221i −0.0710106 0.402721i
\(387\) −23.4488 27.9452i −1.19197 1.42053i
\(388\) −0.891102 2.44828i −0.0452388 0.124293i
\(389\) 15.0446 32.2634i 0.762794 1.63582i −0.00901254 0.999959i \(-0.502869\pi\)
0.771806 0.635857i \(-0.219353\pi\)
\(390\) 32.2386 + 10.0575i 1.63246 + 0.509282i
\(391\) −39.6983 + 6.99988i −2.00763 + 0.353999i
\(392\) −4.46243 + 0.786847i −0.225387 + 0.0397418i
\(393\) 3.94000 6.82427i 0.198747 0.344239i
\(394\) −0.844191 9.64915i −0.0425297 0.486117i
\(395\) −17.0555 + 3.83535i −0.858154 + 0.192978i
\(396\) 10.5307 + 18.2397i 0.529187 + 0.916580i
\(397\) 4.15455 + 15.5050i 0.208511 + 0.778174i 0.988351 + 0.152194i \(0.0486340\pi\)
−0.779839 + 0.625980i \(0.784699\pi\)
\(398\) −10.9993 0.962313i −0.551344 0.0482364i
\(399\) −4.73719 + 17.6794i −0.237156 + 0.885079i
\(400\) 2.84301 4.11306i 0.142151 0.205653i
\(401\) −15.6263 + 15.6263i −0.780338 + 0.780338i −0.979888 0.199550i \(-0.936052\pi\)
0.199550 + 0.979888i \(0.436052\pi\)
\(402\) −4.61763 + 26.1879i −0.230306 + 1.30613i
\(403\) 12.9896 1.13645i 0.647060 0.0566105i
\(404\) −2.88593 7.92903i −0.143580 0.394484i
\(405\) 27.8038 + 17.5948i 1.38158 + 0.874292i
\(406\) 32.7019i 1.62297i
\(407\) −4.47505 + 18.9013i −0.221820 + 0.936905i
\(408\) 12.1698 12.1698i 0.602495 0.602495i
\(409\) −14.2266 30.5091i −0.703462 1.50858i −0.854167 0.520000i \(-0.825932\pi\)
0.150705 0.988579i \(-0.451846\pi\)
\(410\) 1.52382 + 11.3097i 0.0752562 + 0.558546i
\(411\) −10.2088 + 12.1663i −0.503561 + 0.600121i
\(412\) −7.10338 1.25252i −0.349959 0.0617071i
\(413\) −22.4532 −1.10485
\(414\) −47.1261 8.30959i −2.31612 0.408394i
\(415\) 16.0097 + 8.27257i 0.785885 + 0.406085i
\(416\) 3.73489 3.13394i 0.183118 0.153654i
\(417\) −33.8399 + 9.06738i −1.65715 + 0.444032i
\(418\) −1.43808 + 5.36698i −0.0703387 + 0.262507i
\(419\) −8.45325 + 23.2251i −0.412968 + 1.13462i 0.542636 + 0.839968i \(0.317426\pi\)
−0.955604 + 0.294653i \(0.904796\pi\)
\(420\) −18.6171 + 14.3752i −0.908423 + 0.701440i
\(421\) −7.67051 28.6267i −0.373838 1.39518i −0.855035 0.518570i \(-0.826465\pi\)
0.481197 0.876612i \(-0.340202\pi\)
\(422\) 1.83954 + 10.4325i 0.0895473 + 0.507848i
\(423\) −28.0508 19.6414i −1.36388 0.954996i
\(424\) 0.292905 3.34792i 0.0142247 0.162589i
\(425\) −2.25347 + 27.6885i −0.109309 + 1.34309i
\(426\) −6.24176 2.91058i −0.302414 0.141018i
\(427\) 15.9819 13.4104i 0.773419 0.648976i
\(428\) 4.45236 6.35863i 0.215213 0.307356i
\(429\) −39.5056 27.6621i −1.90735 1.33554i
\(430\) 8.32778 9.14364i 0.401601 0.440945i
\(431\) −33.1439 + 2.89971i −1.59648 + 0.139674i −0.850385 0.526161i \(-0.823631\pi\)
−0.746098 + 0.665836i \(0.768075\pi\)
\(432\) 10.0944 4.70707i 0.485665 0.226469i
\(433\) 4.34556 + 1.16439i 0.208834 + 0.0559570i 0.361720 0.932287i \(-0.382190\pi\)
−0.152885 + 0.988244i \(0.548856\pi\)
\(434\) −4.54086 + 7.86500i −0.217968 + 0.377532i
\(435\) −30.9798 59.0740i −1.48537 2.83238i
\(436\) −2.72050 0.728956i −0.130288 0.0349106i
\(437\) −7.24102 10.3412i −0.346385 0.494689i
\(438\) 31.4950i 1.50489i
\(439\) 15.3347 10.7375i 0.731885 0.512471i −0.147218 0.989104i \(-0.547032\pi\)
0.879102 + 0.476633i \(0.158143\pi\)
\(440\) −5.65163 + 4.36392i −0.269431 + 0.208042i
\(441\) 28.0839 10.2217i 1.33733 0.486748i
\(442\) −9.26485 + 25.4550i −0.440684 + 1.21077i
\(443\) 19.1508 + 19.1508i 0.909883 + 0.909883i 0.996262 0.0863791i \(-0.0275296\pi\)
−0.0863791 + 0.996262i \(0.527530\pi\)
\(444\) 17.8874 + 5.92261i 0.848898 + 0.281075i
\(445\) −19.0521 29.7069i −0.903158 1.40824i
\(446\) −16.1716 + 7.54095i −0.765749 + 0.357075i
\(447\) −10.8693 + 23.3093i −0.514100 + 1.10249i
\(448\) 0.295961 + 3.38285i 0.0139828 + 0.159825i
\(449\) −6.67565 9.53382i −0.315043 0.449929i 0.630134 0.776487i \(-0.283000\pi\)
−0.945177 + 0.326558i \(0.894111\pi\)
\(450\) −13.7557 + 29.9720i −0.648450 + 1.41289i
\(451\) 2.82995 16.0494i 0.133257 0.755737i
\(452\) −0.628483 + 0.362855i −0.0295614 + 0.0170673i
\(453\) 0.930998 10.6414i 0.0437421 0.499974i
\(454\) 1.32746 + 0.766409i 0.0623008 + 0.0359694i
\(455\) 16.9948 32.8896i 0.796728 1.54189i
\(456\) 5.06492 + 1.84348i 0.237186 + 0.0863288i
\(457\) 20.3672 24.2727i 0.952737 1.13543i −0.0379514 0.999280i \(-0.512083\pi\)
0.990688 0.136148i \(-0.0434724\pi\)
\(458\) 3.04171 + 1.75613i 0.142130 + 0.0820586i
\(459\) −35.4942 + 50.6909i −1.65673 + 2.36605i
\(460\) 0.658551 16.2100i 0.0307051 0.755797i
\(461\) 21.5114 + 1.88200i 1.00188 + 0.0876535i 0.576277 0.817254i \(-0.304505\pi\)
0.425607 + 0.904908i \(0.360060\pi\)
\(462\) 31.5642 11.4884i 1.46850 0.534490i
\(463\) −15.9538 + 5.80670i −0.741435 + 0.269860i −0.684997 0.728546i \(-0.740196\pi\)
−0.0564378 + 0.998406i \(0.517974\pi\)
\(464\) −9.59353 0.839326i −0.445369 0.0389647i
\(465\) −0.751963 + 18.5094i −0.0348715 + 0.858352i
\(466\) 8.73322 12.4723i 0.404559 0.577770i
\(467\) −28.1136 16.2314i −1.30094 0.751100i −0.320378 0.947290i \(-0.603810\pi\)
−0.980566 + 0.196190i \(0.937143\pi\)
\(468\) −20.6701 + 24.6337i −0.955477 + 1.13869i
\(469\) 27.3929 + 9.97019i 1.26489 + 0.460381i
\(470\) 5.32945 10.3139i 0.245829 0.475747i
\(471\) 2.15824 + 1.24606i 0.0994464 + 0.0574154i
\(472\) −0.576282 + 6.58694i −0.0265255 + 0.303188i
\(473\) −15.2956 + 8.83092i −0.703293 + 0.406046i
\(474\) 4.20530 23.8494i 0.193156 1.09544i
\(475\) −8.15718 + 3.02507i −0.374277 + 0.138800i
\(476\) −10.8216 15.4549i −0.496009 0.708374i
\(477\) 1.93188 + 22.0814i 0.0884545 + 1.01104i
\(478\) 11.5576 24.7854i 0.528633 1.13366i
\(479\) 6.06492 2.82812i 0.277113 0.129220i −0.279094 0.960264i \(-0.590034\pi\)
0.556207 + 0.831044i \(0.312256\pi\)
\(480\) 3.73934 + 5.83054i 0.170677 + 0.266126i
\(481\) −29.4555 + 3.44981i −1.34305 + 0.157298i
\(482\) −7.56538 7.56538i −0.344594 0.344594i
\(483\) −26.1026 + 71.7162i −1.18771 + 3.26320i
\(484\) −0.754630 + 0.274663i −0.0343014 + 0.0124847i
\(485\) −4.61121 + 3.56055i −0.209384 + 0.161676i
\(486\) −9.96743 + 6.97927i −0.452132 + 0.316586i
\(487\) 39.1950i 1.77609i −0.459753 0.888047i \(-0.652062\pi\)
0.459753 0.888047i \(-0.347938\pi\)
\(488\) −3.52393 5.03270i −0.159521 0.227820i
\(489\) 8.66744 + 2.32243i 0.391955 + 0.105024i
\(490\) 4.70575 + 8.97318i 0.212584 + 0.405367i
\(491\) 14.9699 25.9286i 0.675583 1.17014i −0.300716 0.953714i \(-0.597225\pi\)
0.976298 0.216430i \(-0.0694412\pi\)
\(492\) −15.2705 4.09171i −0.688445 0.184468i
\(493\) 48.4923 22.6124i 2.18399 1.01841i
\(494\) −8.45121 + 0.739385i −0.380238 + 0.0332665i
\(495\) 31.7114 34.8181i 1.42532 1.56496i
\(496\) 2.19076 + 1.53398i 0.0983679 + 0.0688779i
\(497\) −4.33038 + 6.18442i −0.194244 + 0.277409i
\(498\) −19.1239 + 16.0468i −0.856962 + 0.719076i
\(499\) −21.8524 10.1899i −0.978246 0.456164i −0.133336 0.991071i \(-0.542569\pi\)
−0.844911 + 0.534907i \(0.820347\pi\)
\(500\) −10.6930 3.26495i −0.478205 0.146013i
\(501\) −0.511650 + 5.84818i −0.0228588 + 0.261277i
\(502\) 8.99261 + 6.29669i 0.401360 + 0.281035i
\(503\) 2.30199 + 13.0552i 0.102641 + 0.582103i 0.992137 + 0.125160i \(0.0399446\pi\)
−0.889496 + 0.456943i \(0.848944\pi\)
\(504\) −5.79678 21.6339i −0.258209 0.963650i
\(505\) −14.9339 + 11.5312i −0.664550 + 0.513133i
\(506\) −7.92399 + 21.7710i −0.352264 + 0.967838i
\(507\) 8.63549 32.2281i 0.383516 1.43130i
\(508\) −13.0168 + 3.48785i −0.577528 + 0.154748i
\(509\) −32.1727 + 26.9961i −1.42603 + 1.19658i −0.478018 + 0.878350i \(0.658645\pi\)
−0.948013 + 0.318232i \(0.896911\pi\)
\(510\) −34.1897 17.6666i −1.51394 0.782289i
\(511\) 34.0013 + 5.99535i 1.50413 + 0.265219i
\(512\) 1.00000 0.0441942
\(513\) −19.0856 3.36530i −0.842649 0.148582i
\(514\) −16.1823 + 19.2853i −0.713771 + 0.850640i
\(515\) 2.15365 + 15.9842i 0.0949011 + 0.704350i
\(516\) 7.24077 + 15.5279i 0.318757 + 0.683577i
\(517\) −11.7233 + 11.7233i −0.515588 + 0.515588i
\(518\) 9.79896 18.1834i 0.430541 0.798934i
\(519\) 12.6812i 0.556644i
\(520\) −9.21241 5.82979i −0.403991 0.255653i
\(521\) −5.33190 14.6493i −0.233595 0.641796i 0.766405 0.642358i \(-0.222044\pi\)
−1.00000 0.000561196i \(0.999821\pi\)
\(522\) 63.2748 5.53583i 2.76946 0.242297i
\(523\) 6.98153 39.5942i 0.305281 1.73134i −0.316897 0.948460i \(-0.602641\pi\)
0.622178 0.782875i \(-0.286248\pi\)
\(524\) −1.79877 + 1.79877i −0.0785796 + 0.0785796i
\(525\) 43.2652 + 29.9056i 1.88825 + 1.30519i
\(526\) −3.82641 + 14.2804i −0.166840 + 0.622654i
\(527\) −14.8026 1.29506i −0.644810 0.0564135i
\(528\) −2.56016 9.55463i −0.111417 0.415812i
\(529\) −14.8199 25.6689i −0.644345 1.11604i
\(530\) −7.33169 + 1.64871i −0.318468 + 0.0716156i
\(531\) −3.80091 43.4446i −0.164945 1.88533i
\(532\) 2.95433 5.11706i 0.128087 0.221853i
\(533\) 24.5046 4.32083i 1.06141 0.187156i
\(534\) 48.1471 8.48964i 2.08353 0.367383i
\(535\) −16.5698 5.16929i −0.716373 0.223488i
\(536\) 3.62795 7.78017i 0.156704 0.336052i
\(537\) −19.8861 54.6365i −0.858147 2.35774i
\(538\) −11.1646 13.3054i −0.481339 0.573637i
\(539\) −2.51261 14.2497i −0.108226 0.613779i
\(540\) −16.8812 18.3109i −0.726450 0.787975i
\(541\) −30.6764 + 8.21972i −1.31888 + 0.353393i −0.848559 0.529101i \(-0.822529\pi\)
−0.470323 + 0.882494i \(0.655862\pi\)
\(542\) 10.5829 + 8.88013i 0.454576 + 0.381434i
\(543\) −11.7870 25.2772i −0.505827 1.08475i
\(544\) −4.81165 + 2.77801i −0.206298 + 0.119106i
\(545\) 0.293766 + 6.29096i 0.0125836 + 0.269475i
\(546\) 32.9659 + 39.2872i 1.41081 + 1.68134i
\(547\) 2.12646 + 3.68313i 0.0909208 + 0.157479i 0.907899 0.419189i \(-0.137686\pi\)
−0.816978 + 0.576669i \(0.804352\pi\)
\(548\) 4.19986 2.94077i 0.179409 0.125624i
\(549\) 28.6532 + 28.6532i 1.22289 + 1.22289i
\(550\) 13.1341 + 9.07849i 0.560040 + 0.387108i
\(551\) 12.8363 + 10.7709i 0.546844 + 0.458857i
\(552\) 20.3689 + 9.49819i 0.866960 + 0.404270i
\(553\) −24.9468 9.07990i −1.06085 0.386117i
\(554\) 9.58283 0.407136
\(555\) 0.475332 42.1302i 0.0201767 1.78833i
\(556\) 11.3097 0.479637
\(557\) 30.8162 + 11.2162i 1.30572 + 0.475244i 0.898857 0.438243i \(-0.144399\pi\)
0.406867 + 0.913487i \(0.366621\pi\)
\(558\) −15.9866 7.45470i −0.676769 0.315582i
\(559\) −20.6575 17.3337i −0.873721 0.733139i
\(560\) 7.00635 2.92702i 0.296072 0.123689i
\(561\) 38.8614 + 38.8614i 1.64073 + 1.64073i
\(562\) 12.1265 8.49108i 0.511526 0.358175i
\(563\) 7.28393 + 12.6161i 0.306981 + 0.531706i 0.977700 0.210005i \(-0.0673479\pi\)
−0.670720 + 0.741711i \(0.734015\pi\)
\(564\) 10.3379 + 12.3202i 0.435303 + 0.518774i
\(565\) 1.19972 + 1.09268i 0.0504727 + 0.0459692i
\(566\) −18.6913 + 10.7914i −0.785653 + 0.453597i
\(567\) 21.1175 + 45.2865i 0.886850 + 1.90186i
\(568\) 1.70314 + 1.42910i 0.0714621 + 0.0599638i
\(569\) −9.73936 + 2.60965i −0.408295 + 0.109402i −0.457120 0.889405i \(-0.651119\pi\)
0.0488249 + 0.998807i \(0.484452\pi\)
\(570\) 0.489236 12.0424i 0.0204918 0.504401i
\(571\) −0.392467 2.22579i −0.0164242 0.0931463i 0.975494 0.220027i \(-0.0706146\pi\)
−0.991918 + 0.126881i \(0.959503\pi\)
\(572\) 10.0075 + 11.9265i 0.418435 + 0.498671i
\(573\) −16.0306 44.0438i −0.669689 1.83995i
\(574\) −7.32419 + 15.7068i −0.305706 + 0.655588i
\(575\) −34.9830 + 9.60123i −1.45889 + 0.400399i
\(576\) −6.49537 + 1.14531i −0.270640 + 0.0477212i
\(577\) 6.11832 1.07882i 0.254709 0.0449121i −0.0448356 0.998994i \(-0.514276\pi\)
0.299545 + 0.954082i \(0.403165\pi\)
\(578\) 6.93463 12.0111i 0.288442 0.499597i
\(579\) −2.16909 24.7928i −0.0901444 1.03035i
\(580\) 4.72442 + 21.0091i 0.196171 + 0.872355i
\(581\) 13.6834 + 23.7004i 0.567685 + 0.983259i
\(582\) −2.08885 7.79569i −0.0865856 0.323142i
\(583\) 10.6908 + 0.935324i 0.442768 + 0.0387372i
\(584\) 2.63149 9.82086i 0.108892 0.406390i
\(585\) 66.5149 + 27.3156i 2.75005 + 1.12936i
\(586\) 13.4410 13.4410i 0.555243 0.555243i
\(587\) −1.84388 + 10.4571i −0.0761050 + 0.431613i 0.922819 + 0.385234i \(0.125879\pi\)
−0.998924 + 0.0463787i \(0.985232\pi\)
\(588\) −13.9830 + 1.22335i −0.576648 + 0.0504502i
\(589\) −1.59159 4.37287i −0.0655805 0.180181i
\(590\) 14.4249 3.24380i 0.593863 0.133545i
\(591\) 30.0041i 1.23420i
\(592\) −5.08285 3.34135i −0.208904 0.137329i
\(593\) −2.58026 + 2.58026i −0.105958 + 0.105958i −0.758098 0.652140i \(-0.773871\pi\)
0.652140 + 0.758098i \(0.273871\pi\)
\(594\) 15.0309 + 32.2339i 0.616727 + 1.32257i
\(595\) −25.5808 + 33.5475i −1.04871 + 1.37531i
\(596\) 5.33685 6.36021i 0.218606 0.260524i
\(597\) −33.6827 5.93917i −1.37854 0.243074i
\(598\) −35.3737 −1.44654
\(599\) 6.02958 + 1.06318i 0.246362 + 0.0434403i 0.295465 0.955353i \(-0.404525\pi\)
−0.0491035 + 0.998794i \(0.515636\pi\)
\(600\) 9.88365 11.9249i 0.403498 0.486831i
\(601\) −12.5830 + 10.5584i −0.513271 + 0.430686i −0.862279 0.506434i \(-0.830963\pi\)
0.349007 + 0.937120i \(0.386519\pi\)
\(602\) 18.1419 4.86111i 0.739410 0.198124i
\(603\) −14.6542 + 54.6902i −0.596765 + 2.22716i
\(604\) −1.17942 + 3.24043i −0.0479900 + 0.131851i
\(605\) 1.09746 + 1.42131i 0.0446182 + 0.0577843i
\(606\) −6.76497 25.2472i −0.274808 1.02560i
\(607\) 6.34904 + 36.0072i 0.257699 + 1.46149i 0.789047 + 0.614332i \(0.210575\pi\)
−0.531348 + 0.847154i \(0.678314\pi\)
\(608\) −1.42533 0.998027i −0.0578048 0.0404753i
\(609\) 8.82885 100.914i 0.357763 4.08925i
\(610\) −8.33007 + 10.9243i −0.337275 + 0.442313i
\(611\) −22.9418 10.6979i −0.928126 0.432792i
\(612\) 28.0717 23.5550i 1.13473 0.952154i
\(613\) −2.07744 + 2.96689i −0.0839069 + 0.119831i −0.858911 0.512124i \(-0.828859\pi\)
0.775004 + 0.631956i \(0.217748\pi\)
\(614\) −3.49526 2.44741i −0.141057 0.0987695i
\(615\) 1.64894 + 35.3118i 0.0664918 + 1.42391i
\(616\) −10.8023 + 0.945082i −0.435239 + 0.0380784i
\(617\) 27.4016 12.7776i 1.10315 0.514406i 0.216233 0.976342i \(-0.430623\pi\)
0.886913 + 0.461936i \(0.152845\pi\)
\(618\) −21.5821 5.78289i −0.868158 0.232622i
\(619\) −2.99474 + 5.18704i −0.120369 + 0.208485i −0.919913 0.392122i \(-0.871741\pi\)
0.799544 + 0.600607i \(0.205074\pi\)
\(620\) 1.78099 5.70882i 0.0715263 0.229272i
\(621\) −78.0556 20.9149i −3.13226 0.839287i
\(622\) −11.3199 16.1665i −0.453888 0.648219i
\(623\) 53.5948i 2.14723i
\(624\) 12.3715 8.66264i 0.495258 0.346783i
\(625\) 0.302941 + 24.9982i 0.0121176 + 0.999927i
\(626\) −1.06197 + 0.386526i −0.0424449 + 0.0154487i
\(627\) −5.88671 + 16.1736i −0.235093 + 0.645912i
\(628\) −0.568877 0.568877i −0.0227007 0.0227007i
\(629\) 33.7392 + 1.95720i 1.34527 + 0.0780385i
\(630\) −42.1564 + 27.0365i −1.67955 + 1.07716i
\(631\) 43.7233 20.3885i 1.74060 0.811653i 0.752353 0.658761i \(-0.228919\pi\)
0.988243 0.152892i \(-0.0488588\pi\)
\(632\) −3.30399 + 7.08544i −0.131426 + 0.281844i
\(633\) 2.86003 + 32.6902i 0.113676 + 1.29932i
\(634\) −7.56779 10.8079i −0.300555 0.429237i
\(635\) 16.2675 + 25.3650i 0.645557 + 1.00658i
\(636\) 1.80774 10.2522i 0.0716817 0.406527i
\(637\) 19.1326 11.0462i 0.758061 0.437667i
\(638\) 2.68019 30.6347i 0.106110 1.21284i
\(639\) −12.6993 7.33193i −0.502375 0.290047i
\(640\) −0.678856 2.13053i −0.0268341 0.0842166i
\(641\) 0.903041 + 0.328680i 0.0356680 + 0.0129821i 0.359793 0.933032i \(-0.382847\pi\)
−0.324125 + 0.946014i \(0.605070\pi\)
\(642\) 15.4562 18.4199i 0.610006 0.726977i
\(643\) 6.22465 + 3.59380i 0.245476 + 0.141726i 0.617691 0.786421i \(-0.288068\pi\)
−0.372215 + 0.928147i \(0.621402\pi\)
\(644\) 14.1315 20.1818i 0.556858 0.795275i
\(645\) 28.1672 25.9679i 1.10908 1.02248i
\(646\) 9.63071 + 0.842578i 0.378915 + 0.0331508i
\(647\) 17.6612 6.42814i 0.694333 0.252716i 0.0293434 0.999569i \(-0.490658\pi\)
0.664989 + 0.746853i \(0.268436\pi\)
\(648\) 13.8274 5.03276i 0.543192 0.197706i
\(649\) −21.0338 1.84022i −0.825650 0.0722350i
\(650\) −6.16664 + 23.5849i −0.241876 + 0.925076i
\(651\) −16.1360 + 23.0445i −0.632418 + 0.903187i
\(652\) −2.50866 1.44838i −0.0982469 0.0567229i
\(653\) −9.13742 + 10.8896i −0.357575 + 0.426141i −0.914603 0.404352i \(-0.867497\pi\)
0.557028 + 0.830493i \(0.311941\pi\)
\(654\) −8.19834 2.98395i −0.320580 0.116682i
\(655\) 5.05344 + 2.61122i 0.197454 + 0.102029i
\(656\) 4.41981 + 2.55178i 0.172565 + 0.0996302i
\(657\) −5.84459 + 66.8040i −0.228019 + 2.60627i
\(658\) 15.2685 8.81530i 0.595230 0.343656i
\(659\) −7.13637 + 40.4724i −0.277994 + 1.57658i 0.451296 + 0.892374i \(0.350962\pi\)
−0.729289 + 0.684205i \(0.760149\pi\)
\(660\) −18.6184 + 11.9407i −0.724722 + 0.464791i
\(661\) −6.25053 8.92669i −0.243118 0.347208i 0.678986 0.734151i \(-0.262420\pi\)
−0.922103 + 0.386943i \(0.873531\pi\)
\(662\) −0.919642 10.5116i −0.0357429 0.408543i
\(663\) −35.4626 + 76.0497i −1.37725 + 2.95353i
\(664\) 7.30403 3.40593i 0.283451 0.132176i
\(665\) −12.9076 2.82055i −0.500536 0.109376i
\(666\) 36.8419 + 15.8819i 1.42759 + 0.615409i
\(667\) 49.4057 + 49.4057i 1.91300 + 1.91300i
\(668\) 0.648176 1.78085i 0.0250787 0.0689031i
\(669\) −51.9397 + 18.9045i −2.00810 + 0.730890i
\(670\) −19.0387 2.44784i −0.735530 0.0945684i
\(671\) 16.0707 11.2529i 0.620404 0.434412i
\(672\) 10.5190i 0.405779i
\(673\) 17.5874 + 25.1174i 0.677943 + 0.968203i 0.999771 + 0.0214048i \(0.00681389\pi\)
−0.321828 + 0.946798i \(0.604297\pi\)
\(674\) −27.0986 7.26104i −1.04380 0.279685i
\(675\) −27.5520 + 48.3963i −1.06048 + 1.86277i
\(676\) −5.38549 + 9.32795i −0.207134 + 0.358767i
\(677\) −10.6725 2.85969i −0.410178 0.109907i 0.0478289 0.998856i \(-0.484770\pi\)
−0.458007 + 0.888949i \(0.651436\pi\)
\(678\) −2.03739 + 0.950050i −0.0782455 + 0.0364865i
\(679\) −8.81370 + 0.771099i −0.338239 + 0.0295921i
\(680\) 9.18504 + 8.36549i 0.352230 + 0.320802i
\(681\) 3.88947 + 2.72344i 0.149045 + 0.104362i
\(682\) −4.89842 + 6.99566i −0.187570 + 0.267878i
\(683\) −32.9810 + 27.6743i −1.26198 + 1.05893i −0.266515 + 0.963831i \(0.585872\pi\)
−0.995468 + 0.0950986i \(0.969683\pi\)
\(684\) 10.4011 + 4.85011i 0.397696 + 0.185449i
\(685\) −9.11650 6.95156i −0.348324 0.265606i
\(686\) 0.730648 8.35135i 0.0278963 0.318856i
\(687\) 8.91224 + 6.24042i 0.340023 + 0.238087i
\(688\) −0.960442 5.44694i −0.0366165 0.207663i
\(689\) 4.24083 + 15.8270i 0.161563 + 0.602961i
\(690\) 6.40860 49.8445i 0.243971 1.89755i
\(691\) 5.80141 15.9392i 0.220696 0.606357i −0.779093 0.626909i \(-0.784320\pi\)
0.999789 + 0.0205514i \(0.00654216\pi\)
\(692\) −1.05955 + 3.95430i −0.0402781 + 0.150320i
\(693\) 69.0827 18.5107i 2.62424 0.703162i
\(694\) 5.32639 4.46937i 0.202187 0.169655i
\(695\) −7.67765 24.0956i −0.291230 0.913999i
\(696\) −29.3779 5.18012i −1.11357 0.196352i
\(697\) −28.3554 −1.07404
\(698\) −12.9252 2.27907i −0.489228 0.0862641i
\(699\) 30.3170 36.1304i 1.14669 1.36658i
\(700\) −10.9924 12.9402i −0.415474 0.489094i
\(701\) 15.2193 + 32.6379i 0.574826 + 1.23272i 0.951864 + 0.306520i \(0.0991647\pi\)
−0.377038 + 0.926198i \(0.623058\pi\)
\(702\) −38.3983 + 38.3983i −1.44925 + 1.44925i
\(703\) 3.90999 + 9.83535i 0.147468 + 0.370947i
\(704\) 3.19326i 0.120351i
\(705\) 19.2306 30.3888i 0.724267 1.14451i
\(706\) 2.04265 + 5.61212i 0.0768760 + 0.211215i
\(707\) −28.5441 + 2.49729i −1.07351 + 0.0939202i
\(708\) −3.55668 + 20.1709i −0.133668 + 0.758070i
\(709\) 21.9778 21.9778i 0.825392 0.825392i −0.161483 0.986875i \(-0.551628\pi\)
0.986875 + 0.161483i \(0.0516278\pi\)
\(710\) 1.88856 4.59874i 0.0708764 0.172588i
\(711\) 13.3456 49.8066i 0.500501 1.86789i
\(712\) −15.7227 1.37556i −0.589234 0.0515513i
\(713\) −5.02207 18.7426i −0.188078 0.701917i
\(714\) −29.2218 50.6136i −1.09360 1.89417i
\(715\) 18.6161 29.4177i 0.696201 1.10016i
\(716\) 1.63590 + 18.6985i 0.0611366 + 0.698795i
\(717\) 42.3570 73.3645i 1.58185 2.73985i
\(718\) 34.2641 6.04169i 1.27873 0.225474i
\(719\) 8.10272 1.42873i 0.302181 0.0532826i −0.0205020 0.999790i \(-0.506526\pi\)
0.322683 + 0.946507i \(0.395415\pi\)
\(720\) 6.84953 + 13.0611i 0.255267 + 0.486757i
\(721\) −10.3514 + 22.1987i −0.385508 + 0.826724i
\(722\) −5.46287 15.0091i −0.203307 0.558582i
\(723\) −21.3034 25.3884i −0.792281 0.944204i
\(724\) 1.56347 + 8.86686i 0.0581058 + 0.329534i
\(725\) 41.5533 24.3277i 1.54325 0.903507i
\(726\) −2.40285 + 0.643843i −0.0891783 + 0.0238953i
\(727\) −10.5697 8.86902i −0.392008 0.328934i 0.425387 0.905012i \(-0.360138\pi\)
−0.817395 + 0.576078i \(0.804582\pi\)
\(728\) −6.99698 15.0051i −0.259325 0.556125i
\(729\) 5.58760 3.22600i 0.206948 0.119482i
\(730\) −22.7100 + 1.06048i −0.840536 + 0.0392502i
\(731\) 19.7529 + 23.5406i 0.730589 + 0.870682i
\(732\) −9.51572 16.4817i −0.351711 0.609182i
\(733\) 7.67277 5.37253i 0.283400 0.198439i −0.423229 0.906023i \(-0.639104\pi\)
0.706630 + 0.707584i \(0.250215\pi\)
\(734\) −14.5834 14.5834i −0.538284 0.538284i
\(735\) 12.0988 + 28.9606i 0.446271 + 1.06823i
\(736\) −5.55791 4.66364i −0.204867 0.171904i
\(737\) 24.8441 + 11.5850i 0.915145 + 0.426739i
\(738\) −31.6309 11.5127i −1.16435 0.423788i
\(739\) −1.00261 −0.0368815 −0.0184408 0.999830i \(-0.505870\pi\)
−0.0184408 + 0.999830i \(0.505870\pi\)
\(740\) −3.66831 + 13.0975i −0.134850 + 0.481472i
\(741\) −26.2791 −0.965386
\(742\) −10.7240 3.90320i −0.393689 0.143291i
\(743\) −18.7918 8.76275i −0.689404 0.321474i 0.0461558 0.998934i \(-0.485303\pi\)
−0.735560 + 0.677460i \(0.763081\pi\)
\(744\) 6.34627 + 5.32516i 0.232666 + 0.195230i
\(745\) −17.1736 7.05265i −0.629191 0.258389i
\(746\) −23.8071 23.8071i −0.871638 0.871638i
\(747\) −43.5415 + 30.4881i −1.59310 + 1.11550i
\(748\) −8.87091 15.3649i −0.324352 0.561795i
\(749\) −16.9436 20.1926i −0.619105 0.737820i
\(750\) −32.1159 12.9621i −1.17271 0.473310i
\(751\) 15.9567 9.21259i 0.582267 0.336172i −0.179767 0.983709i \(-0.557534\pi\)
0.762034 + 0.647537i \(0.224201\pi\)
\(752\) −2.19420 4.70548i −0.0800143 0.171591i
\(753\) 26.0502 + 21.8587i 0.949320 + 0.796574i
\(754\) 45.3526 12.1522i 1.65164 0.442556i
\(755\) 7.70449 + 0.313003i 0.280395 + 0.0113914i
\(756\) −6.56767 37.2471i −0.238864 1.35467i
\(757\) −33.8614 40.3544i −1.23071 1.46671i −0.836754 0.547578i \(-0.815550\pi\)
−0.393959 0.919128i \(-0.628895\pi\)
\(758\) 1.23877 + 3.40349i 0.0449941 + 0.123620i
\(759\) −30.3302 + 65.0434i −1.10092 + 2.36093i
\(760\) −1.15873 + 3.71422i −0.0420316 + 0.134729i
\(761\) 25.6583 4.52426i 0.930114 0.164004i 0.311990 0.950085i \(-0.399004\pi\)
0.618123 + 0.786081i \(0.287893\pi\)
\(762\) −41.1101 + 7.24881i −1.48926 + 0.262597i
\(763\) −4.78204 + 8.28274i −0.173122 + 0.299855i
\(764\) 1.31874 + 15.0733i 0.0477103 + 0.545332i
\(765\) −69.2412 43.8172i −2.50342 1.58421i
\(766\) 10.2984 + 17.8373i 0.372096 + 0.644489i
\(767\) −8.34371 31.1391i −0.301274 1.12437i
\(768\) 3.08588 + 0.269980i 0.111352 + 0.00974206i
\(769\) −11.0808 + 41.3542i −0.399584 + 1.49127i 0.414245 + 0.910165i \(0.364046\pi\)
−0.813830 + 0.581104i \(0.802621\pi\)
\(770\) 9.34676 + 22.3731i 0.336834 + 0.806271i
\(771\) −55.1434 + 55.1434i −1.98594 + 1.98594i
\(772\) −1.39514 + 7.91221i −0.0502121 + 0.284767i
\(773\)