Properties

Label 570.2.n.a.179.18
Level $570$
Weight $2$
Character 570.179
Analytic conductor $4.551$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.n (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 179.18
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.67546 - 0.439145i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.95241 + 1.09000i) q^{5} +(-1.67056 - 0.457417i) q^{6} +4.60944i q^{7} -1.00000i q^{8} +(2.61430 - 1.47153i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.67546 - 0.439145i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.95241 + 1.09000i) q^{5} +(-1.67056 - 0.457417i) q^{6} +4.60944i q^{7} -1.00000i q^{8} +(2.61430 - 1.47153i) q^{9} +(-1.14583 - 1.92017i) q^{10} -6.27586i q^{11} +(1.21804 + 1.23141i) q^{12} +(-1.27680 - 2.21149i) q^{13} +(2.30472 - 3.99190i) q^{14} +(3.74984 + 0.968866i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.20522 + 2.08749i) q^{17} +(-2.99982 - 0.0327655i) q^{18} +(2.80775 + 3.33415i) q^{19} +(0.0322312 + 2.23584i) q^{20} +(2.02421 + 7.72292i) q^{21} +(-3.13793 + 5.43505i) q^{22} +(1.74466 + 3.02184i) q^{23} +(-0.439145 - 1.67546i) q^{24} +(2.62378 + 4.25626i) q^{25} +2.55360i q^{26} +(3.73393 - 3.61355i) q^{27} +(-3.99190 + 2.30472i) q^{28} +(0.557163 + 0.965035i) q^{29} +(-2.76302 - 2.71398i) q^{30} +4.37073i q^{31} +(0.866025 - 0.500000i) q^{32} +(-2.75601 - 10.5149i) q^{33} +(2.08749 - 1.20522i) q^{34} +(-5.02432 + 8.99951i) q^{35} +(2.58154 + 1.52829i) q^{36} +2.27739 q^{37} +(-0.764508 - 4.29133i) q^{38} +(-3.11039 - 3.14455i) q^{39} +(1.09000 - 1.95241i) q^{40} +(4.59916 - 7.96597i) q^{41} +(2.10844 - 7.70035i) q^{42} +(-5.05204 - 2.91679i) q^{43} +(5.43505 - 3.13793i) q^{44} +(6.70816 - 0.0234295i) q^{45} -3.48932i q^{46} +(-1.24051 - 2.14862i) q^{47} +(-0.457417 + 1.67056i) q^{48} -14.2470 q^{49} +(-0.144127 - 4.99792i) q^{50} +(-1.10257 + 4.02677i) q^{51} +(1.27680 - 2.21149i) q^{52} +(-0.0512773 + 0.0296049i) q^{53} +(-5.04046 + 1.26246i) q^{54} +(6.84072 - 12.2530i) q^{55} +4.60944 q^{56} +(6.16843 + 4.35321i) q^{57} -1.11433i q^{58} +(-4.22305 + 7.31454i) q^{59} +(1.03586 + 3.73189i) q^{60} +(-0.644175 - 1.11574i) q^{61} +(2.18537 - 3.78516i) q^{62} +(6.78296 + 12.0505i) q^{63} -1.00000 q^{64} +(-0.0823057 - 5.70944i) q^{65} +(-2.87069 + 10.4842i) q^{66} +(1.76268 + 3.05304i) q^{67} -2.41043 q^{68} +(4.25012 + 4.29680i) q^{69} +(8.85094 - 5.28164i) q^{70} +(1.26938 - 2.19862i) q^{71} +(-1.47153 - 2.61430i) q^{72} +(-10.9928 - 6.34671i) q^{73} +(-1.97227 - 1.13869i) q^{74} +(6.26514 + 5.97896i) q^{75} +(-1.48358 + 4.09866i) q^{76} +28.9282 q^{77} +(1.12140 + 4.27845i) q^{78} +(-8.43221 - 4.86834i) q^{79} +(-1.92017 + 1.14583i) q^{80} +(4.66917 - 7.69408i) q^{81} +(-7.96597 + 4.59916i) q^{82} -8.79050 q^{83} +(-5.67614 + 5.61448i) q^{84} +(-4.62845 + 2.76195i) q^{85} +(2.91679 + 5.05204i) q^{86} +(1.35729 + 1.37220i) q^{87} -6.27586 q^{88} +(-8.07900 - 13.9932i) q^{89} +(-5.82115 - 3.33379i) q^{90} +(10.1937 - 5.88535i) q^{91} +(-1.74466 + 3.02184i) q^{92} +(1.91938 + 7.32297i) q^{93} +2.48102i q^{94} +(1.84763 + 9.57007i) q^{95} +(1.23141 - 1.21804i) q^{96} +(3.17547 - 5.50008i) q^{97} +(12.3382 + 7.12349i) q^{98} +(-9.23514 - 16.4070i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 40q^{4} + O(q^{10}) \) \( 80q + 40q^{4} + 30q^{15} - 40q^{16} + 8q^{19} + 8q^{25} - 4q^{30} + 48q^{39} + 12q^{45} - 128q^{49} - 36q^{54} + 12q^{55} + 30q^{60} - 24q^{61} - 80q^{64} + 4q^{66} + 36q^{70} + 16q^{76} + 24q^{79} + 32q^{81} - 8q^{85} - 54q^{90} + 24q^{91} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 1.67546 0.439145i 0.967325 0.253540i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 1.95241 + 1.09000i 0.873143 + 0.487465i
\(6\) −1.67056 0.457417i −0.682003 0.186740i
\(7\) 4.60944i 1.74221i 0.491100 + 0.871103i \(0.336595\pi\)
−0.491100 + 0.871103i \(0.663405\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 2.61430 1.47153i 0.871435 0.490512i
\(10\) −1.14583 1.92017i −0.362344 0.607213i
\(11\) 6.27586i 1.89224i −0.323812 0.946121i \(-0.604965\pi\)
0.323812 0.946121i \(-0.395035\pi\)
\(12\) 1.21804 + 1.23141i 0.351617 + 0.355479i
\(13\) −1.27680 2.21149i −0.354121 0.613356i 0.632846 0.774278i \(-0.281887\pi\)
−0.986967 + 0.160922i \(0.948553\pi\)
\(14\) 2.30472 3.99190i 0.615963 1.06688i
\(15\) 3.74984 + 0.968866i 0.968204 + 0.250160i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −1.20522 + 2.08749i −0.292308 + 0.506292i −0.974355 0.225016i \(-0.927756\pi\)
0.682047 + 0.731308i \(0.261090\pi\)
\(18\) −2.99982 0.0327655i −0.707065 0.00772291i
\(19\) 2.80775 + 3.33415i 0.644142 + 0.764906i
\(20\) 0.0322312 + 2.23584i 0.00720712 + 0.499948i
\(21\) 2.02421 + 7.72292i 0.441719 + 1.68528i
\(22\) −3.13793 + 5.43505i −0.669009 + 1.15876i
\(23\) 1.74466 + 3.02184i 0.363786 + 0.630097i 0.988581 0.150693i \(-0.0481505\pi\)
−0.624794 + 0.780789i \(0.714817\pi\)
\(24\) −0.439145 1.67546i −0.0896400 0.342001i
\(25\) 2.62378 + 4.25626i 0.524756 + 0.851253i
\(26\) 2.55360i 0.500803i
\(27\) 3.73393 3.61355i 0.718596 0.695428i
\(28\) −3.99190 + 2.30472i −0.754397 + 0.435551i
\(29\) 0.557163 + 0.965035i 0.103463 + 0.179203i 0.913109 0.407715i \(-0.133674\pi\)
−0.809646 + 0.586918i \(0.800341\pi\)
\(30\) −2.76302 2.71398i −0.504457 0.495503i
\(31\) 4.37073i 0.785007i 0.919751 + 0.392503i \(0.128391\pi\)
−0.919751 + 0.392503i \(0.871609\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −2.75601 10.5149i −0.479760 1.83041i
\(34\) 2.08749 1.20522i 0.358002 0.206693i
\(35\) −5.02432 + 8.99951i −0.849264 + 1.52119i
\(36\) 2.58154 + 1.52829i 0.430256 + 0.254714i
\(37\) 2.27739 0.374400 0.187200 0.982322i \(-0.440059\pi\)
0.187200 + 0.982322i \(0.440059\pi\)
\(38\) −0.764508 4.29133i −0.124020 0.696146i
\(39\) −3.11039 3.14455i −0.498061 0.503530i
\(40\) 1.09000 1.95241i 0.172345 0.308703i
\(41\) 4.59916 7.96597i 0.718268 1.24408i −0.243418 0.969921i \(-0.578269\pi\)
0.961686 0.274154i \(-0.0883979\pi\)
\(42\) 2.10844 7.70035i 0.325339 1.18819i
\(43\) −5.05204 2.91679i −0.770428 0.444807i 0.0625990 0.998039i \(-0.480061\pi\)
−0.833027 + 0.553232i \(0.813394\pi\)
\(44\) 5.43505 3.13793i 0.819365 0.473061i
\(45\) 6.70816 0.0234295i 0.999994 0.00349267i
\(46\) 3.48932i 0.514472i
\(47\) −1.24051 2.14862i −0.180947 0.313409i 0.761256 0.648451i \(-0.224583\pi\)
−0.942203 + 0.335042i \(0.891250\pi\)
\(48\) −0.457417 + 1.67056i −0.0660225 + 0.241125i
\(49\) −14.2470 −2.03528
\(50\) −0.144127 4.99792i −0.0203827 0.706813i
\(51\) −1.10257 + 4.02677i −0.154391 + 0.563860i
\(52\) 1.27680 2.21149i 0.177061 0.306678i
\(53\) −0.0512773 + 0.0296049i −0.00704347 + 0.00406655i −0.503518 0.863985i \(-0.667961\pi\)
0.496474 + 0.868052i \(0.334628\pi\)
\(54\) −5.04046 + 1.26246i −0.685919 + 0.171799i
\(55\) 6.84072 12.2530i 0.922402 1.65220i
\(56\) 4.60944 0.615963
\(57\) 6.16843 + 4.35321i 0.817029 + 0.576597i
\(58\) 1.11433i 0.146318i
\(59\) −4.22305 + 7.31454i −0.549795 + 0.952272i 0.448494 + 0.893786i \(0.351961\pi\)
−0.998288 + 0.0584862i \(0.981373\pi\)
\(60\) 1.03586 + 3.73189i 0.133729 + 0.481785i
\(61\) −0.644175 1.11574i −0.0824781 0.142856i 0.821836 0.569725i \(-0.192950\pi\)
−0.904314 + 0.426868i \(0.859617\pi\)
\(62\) 2.18537 3.78516i 0.277542 0.480716i
\(63\) 6.78296 + 12.0505i 0.854572 + 1.51822i
\(64\) −1.00000 −0.125000
\(65\) −0.0823057 5.70944i −0.0102088 0.708169i
\(66\) −2.87069 + 10.4842i −0.353357 + 1.29052i
\(67\) 1.76268 + 3.05304i 0.215345 + 0.372989i 0.953379 0.301775i \(-0.0975790\pi\)
−0.738034 + 0.674763i \(0.764246\pi\)
\(68\) −2.41043 −0.292308
\(69\) 4.25012 + 4.29680i 0.511654 + 0.517274i
\(70\) 8.85094 5.28164i 1.05789 0.631277i
\(71\) 1.26938 2.19862i 0.150647 0.260929i −0.780818 0.624758i \(-0.785198\pi\)
0.931466 + 0.363829i \(0.118531\pi\)
\(72\) −1.47153 2.61430i −0.173422 0.308099i
\(73\) −10.9928 6.34671i −1.28661 0.742827i −0.308565 0.951203i \(-0.599849\pi\)
−0.978049 + 0.208376i \(0.933182\pi\)
\(74\) −1.97227 1.13869i −0.229272 0.132370i
\(75\) 6.26514 + 5.97896i 0.723436 + 0.690391i
\(76\) −1.48358 + 4.09866i −0.170179 + 0.470148i
\(77\) 28.9282 3.29668
\(78\) 1.12140 + 4.27845i 0.126974 + 0.484439i
\(79\) −8.43221 4.86834i −0.948698 0.547731i −0.0560215 0.998430i \(-0.517842\pi\)
−0.892676 + 0.450699i \(0.851175\pi\)
\(80\) −1.92017 + 1.14583i −0.214682 + 0.128108i
\(81\) 4.66917 7.69408i 0.518797 0.854898i
\(82\) −7.96597 + 4.59916i −0.879695 + 0.507892i
\(83\) −8.79050 −0.964883 −0.482442 0.875928i \(-0.660250\pi\)
−0.482442 + 0.875928i \(0.660250\pi\)
\(84\) −5.67614 + 5.61448i −0.619317 + 0.612590i
\(85\) −4.62845 + 2.76195i −0.502026 + 0.299575i
\(86\) 2.91679 + 5.05204i 0.314526 + 0.544775i
\(87\) 1.35729 + 1.37220i 0.145517 + 0.147115i
\(88\) −6.27586 −0.669009
\(89\) −8.07900 13.9932i −0.856372 1.48328i −0.875366 0.483460i \(-0.839380\pi\)
0.0189945 0.999820i \(-0.493954\pi\)
\(90\) −5.82115 3.33379i −0.613604 0.351412i
\(91\) 10.1937 5.88535i 1.06859 0.616952i
\(92\) −1.74466 + 3.02184i −0.181893 + 0.315048i
\(93\) 1.91938 + 7.32297i 0.199031 + 0.759356i
\(94\) 2.48102i 0.255897i
\(95\) 1.84763 + 9.57007i 0.189563 + 0.981869i
\(96\) 1.23141 1.21804i 0.125681 0.124316i
\(97\) 3.17547 5.50008i 0.322421 0.558449i −0.658566 0.752523i \(-0.728837\pi\)
0.980987 + 0.194074i \(0.0621701\pi\)
\(98\) 12.3382 + 7.12349i 1.24635 + 0.719581i
\(99\) −9.23514 16.4070i −0.928167 1.64897i
\(100\) −2.37414 + 4.40039i −0.237414 + 0.440039i
\(101\) −13.5746 + 7.83727i −1.35072 + 0.779838i −0.988350 0.152197i \(-0.951365\pi\)
−0.362369 + 0.932035i \(0.618032\pi\)
\(102\) 2.96824 2.93600i 0.293900 0.290707i
\(103\) 15.4529 1.52262 0.761311 0.648387i \(-0.224556\pi\)
0.761311 + 0.648387i \(0.224556\pi\)
\(104\) −2.21149 + 1.27680i −0.216854 + 0.125201i
\(105\) −4.46593 + 17.2847i −0.435831 + 1.68681i
\(106\) 0.0592099 0.00575097
\(107\) 4.71448i 0.455766i −0.973689 0.227883i \(-0.926820\pi\)
0.973689 0.227883i \(-0.0731804\pi\)
\(108\) 4.99639 + 1.42691i 0.480778 + 0.137304i
\(109\) 6.86919 + 3.96593i 0.657949 + 0.379867i 0.791495 0.611176i \(-0.209303\pi\)
−0.133546 + 0.991043i \(0.542636\pi\)
\(110\) −12.0507 + 7.19107i −1.14899 + 0.685642i
\(111\) 3.81566 1.00010i 0.362166 0.0949255i
\(112\) −3.99190 2.30472i −0.377199 0.217776i
\(113\) 14.0526i 1.32196i −0.750404 0.660979i \(-0.770141\pi\)
0.750404 0.660979i \(-0.229859\pi\)
\(114\) −3.16541 6.85421i −0.296468 0.641955i
\(115\) 0.112465 + 7.80154i 0.0104874 + 0.727497i
\(116\) −0.557163 + 0.965035i −0.0517313 + 0.0896013i
\(117\) −6.59223 3.90264i −0.609452 0.360799i
\(118\) 7.31454 4.22305i 0.673358 0.388764i
\(119\) −9.62219 5.55537i −0.882065 0.509260i
\(120\) 0.968866 3.74984i 0.0884450 0.342312i
\(121\) −28.3864 −2.58058
\(122\) 1.28835i 0.116642i
\(123\) 4.20747 15.3663i 0.379375 1.38554i
\(124\) −3.78516 + 2.18537i −0.339918 + 0.196252i
\(125\) 0.483334 + 11.1699i 0.0432307 + 0.999065i
\(126\) 0.151031 13.8275i 0.0134549 1.23185i
\(127\) −4.20396 7.28147i −0.373041 0.646126i 0.616991 0.786970i \(-0.288352\pi\)
−0.990032 + 0.140845i \(0.955018\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −9.74536 2.66839i −0.858031 0.234938i
\(130\) −2.78344 + 4.98567i −0.244124 + 0.437272i
\(131\) 4.94573 + 2.85542i 0.432110 + 0.249479i 0.700245 0.713902i \(-0.253074\pi\)
−0.268135 + 0.963381i \(0.586407\pi\)
\(132\) 7.72819 7.64424i 0.672652 0.665345i
\(133\) −15.3686 + 12.9422i −1.33262 + 1.12223i
\(134\) 3.52535i 0.304544i
\(135\) 11.2289 2.98511i 0.966433 0.256917i
\(136\) 2.08749 + 1.20522i 0.179001 + 0.103346i
\(137\) 4.51364 + 7.81786i 0.385627 + 0.667925i 0.991856 0.127365i \(-0.0406520\pi\)
−0.606229 + 0.795290i \(0.707319\pi\)
\(138\) −1.53231 5.84620i −0.130439 0.497661i
\(139\) 7.12104 + 12.3340i 0.603999 + 1.04616i 0.992209 + 0.124586i \(0.0397603\pi\)
−0.388210 + 0.921571i \(0.626906\pi\)
\(140\) −10.3060 + 0.148568i −0.871012 + 0.0125563i
\(141\) −3.02197 3.05516i −0.254496 0.257291i
\(142\) −2.19862 + 1.26938i −0.184504 + 0.106524i
\(143\) −13.8790 + 8.01303i −1.16062 + 0.670083i
\(144\) −0.0327655 + 2.99982i −0.00273046 + 0.249985i
\(145\) 0.0359161 + 2.49145i 0.00298267 + 0.206904i
\(146\) 6.34671 + 10.9928i 0.525258 + 0.909773i
\(147\) −23.8702 + 6.25648i −1.96878 + 0.516026i
\(148\) 1.13869 + 1.97227i 0.0936000 + 0.162120i
\(149\) −9.49064 5.47943i −0.777504 0.448892i 0.0580411 0.998314i \(-0.481515\pi\)
−0.835545 + 0.549422i \(0.814848\pi\)
\(150\) −2.43629 8.31050i −0.198922 0.678550i
\(151\) 2.01053i 0.163615i −0.996648 0.0818073i \(-0.973931\pi\)
0.996648 0.0818073i \(-0.0260692\pi\)
\(152\) 3.33415 2.80775i 0.270435 0.227739i
\(153\) −0.0789790 + 7.23086i −0.00638508 + 0.584581i
\(154\) −25.0526 14.4641i −2.01879 1.16555i
\(155\) −4.76412 + 8.53344i −0.382663 + 0.685423i
\(156\) 1.16806 4.26595i 0.0935199 0.341549i
\(157\) −2.18249 1.26006i −0.174182 0.100564i 0.410374 0.911917i \(-0.365398\pi\)
−0.584556 + 0.811353i \(0.698731\pi\)
\(158\) 4.86834 + 8.43221i 0.387304 + 0.670831i
\(159\) −0.0729119 + 0.0721199i −0.00578229 + 0.00571948i
\(160\) 2.23584 0.0322312i 0.176758 0.00254810i
\(161\) −13.9290 + 8.04190i −1.09776 + 0.633791i
\(162\) −7.89066 + 4.32868i −0.619949 + 0.340093i
\(163\) 4.47356i 0.350396i 0.984533 + 0.175198i \(0.0560566\pi\)
−0.984533 + 0.175198i \(0.943943\pi\)
\(164\) 9.19831 0.718268
\(165\) 6.08047 23.5335i 0.473364 1.83208i
\(166\) 7.61280 + 4.39525i 0.590868 + 0.341138i
\(167\) −7.00410 + 4.04382i −0.541993 + 0.312920i −0.745886 0.666073i \(-0.767974\pi\)
0.203893 + 0.978993i \(0.434641\pi\)
\(168\) 7.72292 2.02421i 0.595836 0.156171i
\(169\) 3.23955 5.61107i 0.249196 0.431621i
\(170\) 5.38933 0.0776911i 0.413343 0.00595863i
\(171\) 12.2466 + 4.58478i 0.936523 + 0.350607i
\(172\) 5.83359i 0.444807i
\(173\) −9.62554 5.55731i −0.731816 0.422514i 0.0872698 0.996185i \(-0.472186\pi\)
−0.819086 + 0.573670i \(0.805519\pi\)
\(174\) −0.489351 1.86700i −0.0370976 0.141537i
\(175\) −19.6190 + 12.0942i −1.48306 + 0.914233i
\(176\) 5.43505 + 3.13793i 0.409683 + 0.236530i
\(177\) −3.86340 + 14.1097i −0.290391 + 1.06055i
\(178\) 16.1580i 1.21109i
\(179\) −4.26112 −0.318491 −0.159245 0.987239i \(-0.550906\pi\)
−0.159245 + 0.987239i \(0.550906\pi\)
\(180\) 3.37437 + 5.79772i 0.251511 + 0.432137i
\(181\) 16.7578 9.67510i 1.24559 0.719145i 0.275367 0.961339i \(-0.411201\pi\)
0.970228 + 0.242195i \(0.0778672\pi\)
\(182\) −11.7707 −0.872502
\(183\) −1.56926 1.58649i −0.116003 0.117277i
\(184\) 3.02184 1.74466i 0.222773 0.128618i
\(185\) 4.44638 + 2.48236i 0.326905 + 0.182507i
\(186\) 1.99925 7.30157i 0.146592 0.535377i
\(187\) 13.1008 + 7.56376i 0.958027 + 0.553117i
\(188\) 1.24051 2.14862i 0.0904734 0.156704i
\(189\) 16.6565 + 17.2114i 1.21158 + 1.25194i
\(190\) 3.18494 9.21174i 0.231060 0.668290i
\(191\) 3.83614i 0.277573i 0.990322 + 0.138786i \(0.0443202\pi\)
−0.990322 + 0.138786i \(0.955680\pi\)
\(192\) −1.67546 + 0.439145i −0.120916 + 0.0316925i
\(193\) 7.45236 12.9079i 0.536432 0.929128i −0.462660 0.886536i \(-0.653105\pi\)
0.999093 0.0425924i \(-0.0135617\pi\)
\(194\) −5.50008 + 3.17547i −0.394883 + 0.227986i
\(195\) −2.64517 9.52977i −0.189424 0.682441i
\(196\) −7.12349 12.3382i −0.508820 0.881303i
\(197\) −17.6150 −1.25502 −0.627508 0.778610i \(-0.715925\pi\)
−0.627508 + 0.778610i \(0.715925\pi\)
\(198\) −0.205632 + 18.8265i −0.0146136 + 1.33794i
\(199\) −2.41926 4.19028i −0.171497 0.297041i 0.767447 0.641113i \(-0.221527\pi\)
−0.938943 + 0.344072i \(0.888194\pi\)
\(200\) 4.25626 2.62378i 0.300963 0.185529i
\(201\) 4.29401 + 4.34117i 0.302876 + 0.306203i
\(202\) 15.6745 1.10286
\(203\) −4.44828 + 2.56821i −0.312208 + 0.180253i
\(204\) −4.03857 + 1.05853i −0.282757 + 0.0741118i
\(205\) 17.6624 10.5397i 1.23359 0.736125i
\(206\) −13.3826 7.72646i −0.932412 0.538328i
\(207\) 9.00780 + 5.33267i 0.626086 + 0.370647i
\(208\) 2.55360 0.177061
\(209\) 20.9246 17.6210i 1.44739 1.21887i
\(210\) 12.5100 12.7360i 0.863269 0.878868i
\(211\) −4.49219 2.59357i −0.309255 0.178548i 0.337338 0.941384i \(-0.390473\pi\)
−0.646593 + 0.762835i \(0.723807\pi\)
\(212\) −0.0512773 0.0296049i −0.00352174 0.00203328i
\(213\) 1.16127 4.24114i 0.0795689 0.290598i
\(214\) −2.35724 + 4.08286i −0.161138 + 0.279099i
\(215\) −6.68431 11.2015i −0.455866 0.763937i
\(216\) −3.61355 3.73393i −0.245871 0.254062i
\(217\) −20.1466 −1.36764
\(218\) −3.96593 6.86919i −0.268607 0.465240i
\(219\) −21.2051 5.80620i −1.43291 0.392346i
\(220\) 14.0318 0.202278i 0.946023 0.0136376i
\(221\) 6.15529 0.414049
\(222\) −3.80451 1.04172i −0.255342 0.0699154i
\(223\) −0.325555 + 0.563878i −0.0218008 + 0.0377601i −0.876720 0.481001i \(-0.840273\pi\)
0.854919 + 0.518761i \(0.173607\pi\)
\(224\) 2.30472 + 3.99190i 0.153991 + 0.266720i
\(225\) 13.1226 + 7.26619i 0.874840 + 0.484412i
\(226\) −7.02630 + 12.1699i −0.467383 + 0.809531i
\(227\) 8.15722i 0.541414i 0.962662 + 0.270707i \(0.0872575\pi\)
−0.962662 + 0.270707i \(0.912743\pi\)
\(228\) −0.685774 + 7.51862i −0.0454165 + 0.497933i
\(229\) 6.22202 0.411162 0.205581 0.978640i \(-0.434092\pi\)
0.205581 + 0.978640i \(0.434092\pi\)
\(230\) 3.80337 6.81256i 0.250787 0.449207i
\(231\) 48.4680 12.7037i 3.18896 0.835840i
\(232\) 0.965035 0.557163i 0.0633577 0.0365796i
\(233\) 13.8286 23.9519i 0.905942 1.56914i 0.0862948 0.996270i \(-0.472497\pi\)
0.819647 0.572868i \(-0.194169\pi\)
\(234\) 3.75772 + 6.67590i 0.245650 + 0.436417i
\(235\) −0.0799662 5.54715i −0.00521642 0.361856i
\(236\) −8.44611 −0.549795
\(237\) −16.2657 4.45373i −1.05657 0.289301i
\(238\) 5.55537 + 9.62219i 0.360101 + 0.623714i
\(239\) 14.0092i 0.906177i 0.891465 + 0.453089i \(0.149678\pi\)
−0.891465 + 0.453089i \(0.850322\pi\)
\(240\) −2.71398 + 2.76302i −0.175187 + 0.178352i
\(241\) −9.49382 + 5.48126i −0.611551 + 0.353079i −0.773572 0.633708i \(-0.781532\pi\)
0.162021 + 0.986787i \(0.448199\pi\)
\(242\) 24.5834 + 14.1932i 1.58028 + 0.912374i
\(243\) 4.44418 14.9415i 0.285094 0.958500i
\(244\) 0.644175 1.11574i 0.0412391 0.0714281i
\(245\) −27.8159 15.5293i −1.77709 0.992128i
\(246\) −11.3269 + 11.2039i −0.722179 + 0.714334i
\(247\) 3.78848 10.4663i 0.241055 0.665958i
\(248\) 4.37073 0.277542
\(249\) −14.7281 + 3.86030i −0.933355 + 0.244637i
\(250\) 5.16636 9.91507i 0.326750 0.627084i
\(251\) −12.7805 + 7.37881i −0.806697 + 0.465747i −0.845807 0.533488i \(-0.820881\pi\)
0.0391106 + 0.999235i \(0.487548\pi\)
\(252\) −7.04455 + 11.8995i −0.443765 + 0.749595i
\(253\) 18.9646 10.9492i 1.19230 0.688372i
\(254\) 8.40792i 0.527560i
\(255\) −6.54187 + 6.66008i −0.409668 + 0.417070i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −2.44940 + 1.41416i −0.152789 + 0.0882129i −0.574445 0.818543i \(-0.694782\pi\)
0.421656 + 0.906756i \(0.361449\pi\)
\(258\) 7.10554 + 7.18357i 0.442371 + 0.447230i
\(259\) 10.4975i 0.652282i
\(260\) 4.90337 2.92600i 0.304094 0.181463i
\(261\) 2.87668 + 1.70301i 0.178062 + 0.105414i
\(262\) −2.85542 4.94573i −0.176408 0.305548i
\(263\) 4.38223 7.59024i 0.270220 0.468034i −0.698698 0.715417i \(-0.746237\pi\)
0.968918 + 0.247382i \(0.0795703\pi\)
\(264\) −10.5149 + 2.75601i −0.647149 + 0.169621i
\(265\) −0.132384 + 0.00190841i −0.00813226 + 0.000117232i
\(266\) 19.7807 3.52396i 1.21283 0.216068i
\(267\) −19.6811 19.8972i −1.20446 1.21769i
\(268\) −1.76268 + 3.05304i −0.107673 + 0.186494i
\(269\) 4.18520 7.24897i 0.255176 0.441978i −0.709767 0.704436i \(-0.751200\pi\)
0.964943 + 0.262458i \(0.0845333\pi\)
\(270\) −11.2171 3.02929i −0.682651 0.184357i
\(271\) −12.8353 + 22.2314i −0.779690 + 1.35046i 0.152430 + 0.988314i \(0.451290\pi\)
−0.932120 + 0.362149i \(0.882043\pi\)
\(272\) −1.20522 2.08749i −0.0730769 0.126573i
\(273\) 14.4946 14.3372i 0.877254 0.867724i
\(274\) 9.02729i 0.545358i
\(275\) 26.7117 16.4665i 1.61078 0.992965i
\(276\) −1.59607 + 5.82911i −0.0960724 + 0.350871i
\(277\) 14.7374i 0.885482i −0.896650 0.442741i \(-0.854006\pi\)
0.896650 0.442741i \(-0.145994\pi\)
\(278\) 14.2421i 0.854184i
\(279\) 6.43168 + 11.4264i 0.385055 + 0.684082i
\(280\) 8.99951 + 5.02432i 0.537823 + 0.300260i
\(281\) −2.75553 4.77271i −0.164381 0.284716i 0.772054 0.635557i \(-0.219229\pi\)
−0.936435 + 0.350840i \(0.885896\pi\)
\(282\) 1.08953 + 4.15683i 0.0648803 + 0.247536i
\(283\) 26.7533 + 15.4460i 1.59032 + 0.918172i 0.993251 + 0.115983i \(0.0370019\pi\)
0.597070 + 0.802189i \(0.296331\pi\)
\(284\) 2.53875 0.150647
\(285\) 7.29827 + 15.2229i 0.432312 + 0.901724i
\(286\) 16.0261 0.947641
\(287\) 36.7187 + 21.1996i 2.16744 + 1.25137i
\(288\) 1.52829 2.58154i 0.0900551 0.152119i
\(289\) 5.59491 + 9.69067i 0.329112 + 0.570039i
\(290\) 1.21462 2.17562i 0.0713250 0.127757i
\(291\) 2.90504 10.6096i 0.170296 0.621948i
\(292\) 12.6934i 0.742827i
\(293\) 26.7703i 1.56394i 0.623318 + 0.781968i \(0.285784\pi\)
−0.623318 + 0.781968i \(0.714216\pi\)
\(294\) 23.8004 + 6.51681i 1.38807 + 0.380068i
\(295\) −16.2180 + 9.67781i −0.944248 + 0.563464i
\(296\) 2.27739i 0.132370i
\(297\) −22.6781 23.4336i −1.31592 1.35976i
\(298\) 5.47943 + 9.49064i 0.317415 + 0.549778i
\(299\) 4.45517 7.71657i 0.257649 0.446261i
\(300\) −2.04536 + 8.41525i −0.118089 + 0.485855i
\(301\) 13.4448 23.2871i 0.774945 1.34224i
\(302\) −1.00527 + 1.74117i −0.0578465 + 0.100193i
\(303\) −19.3019 + 19.0922i −1.10886 + 1.09682i
\(304\) −4.29133 + 0.764508i −0.246125 + 0.0438475i
\(305\) −0.0415250 2.88054i −0.00237772 0.164939i
\(306\) 3.68383 6.22262i 0.210590 0.355724i
\(307\) −14.0443 + 24.3254i −0.801548 + 1.38832i 0.117048 + 0.993126i \(0.462657\pi\)
−0.918597 + 0.395196i \(0.870677\pi\)
\(308\) 14.4641 + 25.0526i 0.824169 + 1.42750i
\(309\) 25.8907 6.78607i 1.47287 0.386046i
\(310\) 8.39257 5.00812i 0.476666 0.284442i
\(311\) 19.3800i 1.09894i 0.835513 + 0.549470i \(0.185170\pi\)
−0.835513 + 0.549470i \(0.814830\pi\)
\(312\) −3.14455 + 3.11039i −0.178025 + 0.176091i
\(313\) −21.0959 + 12.1797i −1.19241 + 0.688439i −0.958853 0.283904i \(-0.908370\pi\)
−0.233558 + 0.972343i \(0.575037\pi\)
\(314\) 1.26006 + 2.18249i 0.0711094 + 0.123165i
\(315\) 0.107997 + 30.9209i 0.00608494 + 1.74220i
\(316\) 9.73668i 0.547731i
\(317\) 22.7893 13.1574i 1.27997 0.738992i 0.303129 0.952949i \(-0.401969\pi\)
0.976843 + 0.213957i \(0.0686352\pi\)
\(318\) 0.0992035 0.0260017i 0.00556306 0.00145810i
\(319\) 6.05642 3.49668i 0.339095 0.195776i
\(320\) −1.95241 1.09000i −0.109143 0.0609331i
\(321\) −2.07034 7.89890i −0.115555 0.440874i
\(322\) 16.0838 0.896316
\(323\) −10.3440 + 1.84279i −0.575553 + 0.102536i
\(324\) 8.99785 + 0.196581i 0.499881 + 0.0109212i
\(325\) 6.06262 11.2369i 0.336294 0.623309i
\(326\) 2.23678 3.87421i 0.123884 0.214573i
\(327\) 13.2506 + 3.62817i 0.732762 + 0.200638i
\(328\) −7.96597 4.59916i −0.439847 0.253946i
\(329\) 9.90396 5.71805i 0.546023 0.315247i
\(330\) −17.0326 + 17.3403i −0.937612 + 0.954555i
\(331\) 23.9173i 1.31461i 0.753624 + 0.657306i \(0.228304\pi\)
−0.753624 + 0.657306i \(0.771696\pi\)
\(332\) −4.39525 7.61280i −0.241221 0.417807i
\(333\) 5.95378 3.35125i 0.326265 0.183648i
\(334\) 8.08764 0.442536
\(335\) 0.113626 + 7.88211i 0.00620807 + 0.430646i
\(336\) −7.70035 2.10844i −0.420089 0.115025i
\(337\) −7.94689 + 13.7644i −0.432895 + 0.749796i −0.997121 0.0758243i \(-0.975841\pi\)
0.564226 + 0.825620i \(0.309175\pi\)
\(338\) −5.61107 + 3.23955i −0.305202 + 0.176208i
\(339\) −6.17113 23.5445i −0.335170 1.27876i
\(340\) −4.70614 2.62738i −0.255226 0.142490i
\(341\) 27.4301 1.48542
\(342\) −8.31350 10.0938i −0.449543 0.545813i
\(343\) 33.4045i 1.80367i
\(344\) −2.91679 + 5.05204i −0.157263 + 0.272388i
\(345\) 3.61443 + 13.0217i 0.194595 + 0.701067i
\(346\) 5.55731 + 9.62554i 0.298763 + 0.517472i
\(347\) 6.74308 11.6794i 0.361988 0.626981i −0.626300 0.779582i \(-0.715432\pi\)
0.988288 + 0.152601i \(0.0487649\pi\)
\(348\) −0.509712 + 1.86155i −0.0273235 + 0.0997895i
\(349\) −8.34194 −0.446534 −0.223267 0.974757i \(-0.571672\pi\)
−0.223267 + 0.974757i \(0.571672\pi\)
\(350\) 23.0376 0.664347i 1.23141 0.0355108i
\(351\) −12.7588 3.64376i −0.681015 0.194489i
\(352\) −3.13793 5.43505i −0.167252 0.289689i
\(353\) 8.00477 0.426051 0.213025 0.977047i \(-0.431668\pi\)
0.213025 + 0.977047i \(0.431668\pi\)
\(354\) 10.4007 10.2877i 0.552789 0.546784i
\(355\) 4.87485 2.90898i 0.258730 0.154393i
\(356\) 8.07900 13.9932i 0.428186 0.741640i
\(357\) −18.5612 5.08225i −0.982361 0.268981i
\(358\) 3.69023 + 2.13056i 0.195035 + 0.112603i
\(359\) −7.33647 4.23571i −0.387204 0.223552i 0.293744 0.955884i \(-0.405099\pi\)
−0.680948 + 0.732332i \(0.738432\pi\)
\(360\) −0.0234295 6.70816i −0.00123484 0.353551i
\(361\) −3.23309 + 18.7229i −0.170163 + 0.985416i
\(362\) −19.3502 −1.01702
\(363\) −47.5602 + 12.4657i −2.49626 + 0.654282i
\(364\) 10.1937 + 5.88535i 0.534296 + 0.308476i
\(365\) −14.5445 24.3736i −0.761295 1.27577i
\(366\) 0.565772 + 2.15857i 0.0295734 + 0.112830i
\(367\) 21.8594 12.6205i 1.14105 0.658787i 0.194362 0.980930i \(-0.437736\pi\)
0.946691 + 0.322143i \(0.104403\pi\)
\(368\) −3.48932 −0.181893
\(369\) 0.301388 27.5933i 0.0156896 1.43645i
\(370\) −2.60950 4.37298i −0.135661 0.227340i
\(371\) −0.136462 0.236360i −0.00708477 0.0122712i
\(372\) −5.38218 + 5.32372i −0.279053 + 0.276022i
\(373\) 27.8240 1.44067 0.720337 0.693624i \(-0.243987\pi\)
0.720337 + 0.693624i \(0.243987\pi\)
\(374\) −7.56376 13.1008i −0.391113 0.677427i
\(375\) 5.71500 + 18.5024i 0.295121 + 0.955460i
\(376\) −2.14862 + 1.24051i −0.110807 + 0.0639743i
\(377\) 1.42277 2.46432i 0.0732766 0.126919i
\(378\) −5.81923 23.2337i −0.299309 1.19501i
\(379\) 17.6962i 0.908995i 0.890748 + 0.454497i \(0.150181\pi\)
−0.890748 + 0.454497i \(0.849819\pi\)
\(380\) −7.36411 + 6.38513i −0.377771 + 0.327550i
\(381\) −10.2412 10.3536i −0.524671 0.530433i
\(382\) 1.91807 3.32219i 0.0981369 0.169978i
\(383\) −19.2767 11.1294i −0.984991 0.568685i −0.0812179 0.996696i \(-0.525881\pi\)
−0.903773 + 0.428011i \(0.859214\pi\)
\(384\) 1.67056 + 0.457417i 0.0852504 + 0.0233425i
\(385\) 56.4796 + 31.5319i 2.87847 + 1.60701i
\(386\) −12.9079 + 7.45236i −0.656993 + 0.379315i
\(387\) −17.4997 0.191141i −0.889561 0.00971622i
\(388\) 6.35095 0.322421
\(389\) 8.70929 5.02831i 0.441579 0.254946i −0.262688 0.964881i \(-0.584609\pi\)
0.704267 + 0.709935i \(0.251276\pi\)
\(390\) −2.47410 + 9.57561i −0.125281 + 0.484880i
\(391\) −8.41076 −0.425350
\(392\) 14.2470i 0.719581i
\(393\) 9.54029 + 2.61223i 0.481244 + 0.131770i
\(394\) 15.2550 + 8.80750i 0.768538 + 0.443715i
\(395\) −11.1566 18.6961i −0.561349 0.940704i
\(396\) 9.59131 16.2014i 0.481981 0.814150i
\(397\) −18.5066 10.6848i −0.928819 0.536254i −0.0423812 0.999102i \(-0.513494\pi\)
−0.886438 + 0.462848i \(0.846828\pi\)
\(398\) 4.83852i 0.242533i
\(399\) −20.0659 + 28.4330i −1.00455 + 1.42343i
\(400\) −4.99792 + 0.144127i −0.249896 + 0.00720637i
\(401\) −7.33894 + 12.7114i −0.366489 + 0.634778i −0.989014 0.147822i \(-0.952774\pi\)
0.622525 + 0.782600i \(0.286107\pi\)
\(402\) −1.54814 5.90657i −0.0772142 0.294593i
\(403\) 9.66581 5.58056i 0.481488 0.277987i
\(404\) −13.5746 7.83727i −0.675359 0.389919i
\(405\) 17.5027 9.93255i 0.869716 0.493552i
\(406\) 5.13643 0.254917
\(407\) 14.2926i 0.708456i
\(408\) 4.02677 + 1.10257i 0.199355 + 0.0545855i
\(409\) 26.1399 15.0919i 1.29254 0.746246i 0.313432 0.949611i \(-0.398521\pi\)
0.979103 + 0.203365i \(0.0651878\pi\)
\(410\) −20.5659 + 0.296473i −1.01568 + 0.0146417i
\(411\) 10.9956 + 11.1163i 0.542372 + 0.548328i
\(412\) 7.72646 + 13.3826i 0.380655 + 0.659315i
\(413\) −33.7160 19.4659i −1.65905 0.957856i
\(414\) −5.13465 9.12213i −0.252354 0.448328i
\(415\) −17.1626 9.58169i −0.842481 0.470347i
\(416\) −2.21149 1.27680i −0.108427 0.0626004i
\(417\) 17.3474 + 17.5379i 0.849506 + 0.858836i
\(418\) −26.9318 + 4.79794i −1.31728 + 0.234675i
\(419\) 8.90336i 0.434958i 0.976065 + 0.217479i \(0.0697833\pi\)
−0.976065 + 0.217479i \(0.930217\pi\)
\(420\) −17.2019 + 4.77473i −0.839368 + 0.232983i
\(421\) 14.3115 + 8.26272i 0.697498 + 0.402701i 0.806415 0.591350i \(-0.201405\pi\)
−0.108917 + 0.994051i \(0.534738\pi\)
\(422\) 2.59357 + 4.49219i 0.126253 + 0.218676i
\(423\) −6.40484 3.79170i −0.311414 0.184359i
\(424\) 0.0296049 + 0.0512773i 0.00143774 + 0.00249024i
\(425\) −12.0471 + 0.347409i −0.584373 + 0.0168518i
\(426\) −3.12626 + 3.09230i −0.151468 + 0.149822i
\(427\) 5.14296 2.96929i 0.248885 0.143694i
\(428\) 4.08286 2.35724i 0.197352 0.113942i
\(429\) −19.7347 + 19.5204i −0.952802 + 0.942451i
\(430\) 0.188024 + 13.0429i 0.00906730 + 0.628987i
\(431\) −8.40089 14.5508i −0.404657 0.700886i 0.589625 0.807677i \(-0.299276\pi\)
−0.994281 + 0.106791i \(0.965942\pi\)
\(432\) 1.26246 + 5.04046i 0.0607400 + 0.242509i
\(433\) −18.6240 32.2577i −0.895013 1.55021i −0.833789 0.552084i \(-0.813833\pi\)
−0.0612243 0.998124i \(-0.519501\pi\)
\(434\) 17.4475 + 10.0733i 0.837507 + 0.483535i
\(435\) 1.15428 + 4.15854i 0.0553436 + 0.199387i
\(436\) 7.93186i 0.379867i
\(437\) −5.17669 + 14.3015i −0.247635 + 0.684134i
\(438\) 15.4611 + 15.6309i 0.738759 + 0.746872i
\(439\) −3.23579 1.86818i −0.154436 0.0891635i 0.420791 0.907158i \(-0.361753\pi\)
−0.575226 + 0.817994i \(0.695086\pi\)
\(440\) −12.2530 6.84072i −0.584140 0.326118i
\(441\) −37.2459 + 20.9649i −1.77361 + 0.998329i
\(442\) −5.33063 3.07764i −0.253552 0.146389i
\(443\) −4.87764 8.44831i −0.231744 0.401392i 0.726578 0.687084i \(-0.241110\pi\)
−0.958321 + 0.285693i \(0.907776\pi\)
\(444\) 2.77394 + 2.80441i 0.131646 + 0.133091i
\(445\) −0.520792 36.1266i −0.0246879 1.71257i
\(446\) 0.563878 0.325555i 0.0267004 0.0154155i
\(447\) −18.3074 5.01277i −0.865911 0.237096i
\(448\) 4.60944i 0.217776i
\(449\) −20.1146 −0.949265 −0.474633 0.880184i \(-0.657419\pi\)
−0.474633 + 0.880184i \(0.657419\pi\)
\(450\) −7.73141 12.8540i −0.364462 0.605943i
\(451\) −49.9933 28.8637i −2.35409 1.35914i
\(452\) 12.1699 7.02630i 0.572425 0.330490i
\(453\) −0.882913 3.36855i −0.0414829 0.158268i
\(454\) 4.07861 7.06436i 0.191419 0.331547i
\(455\) 26.3173 0.379384i 1.23378 0.0177858i
\(456\) 4.35321 6.16843i 0.203858 0.288863i
\(457\) 10.7902i 0.504746i 0.967630 + 0.252373i \(0.0812110\pi\)
−0.967630 + 0.252373i \(0.918789\pi\)
\(458\) −5.38842 3.11101i −0.251784 0.145368i
\(459\) 3.04307 + 12.1497i 0.142038 + 0.567098i
\(460\) −6.70010 + 3.99817i −0.312394 + 0.186415i
\(461\) 3.84009 + 2.21708i 0.178851 + 0.103260i 0.586753 0.809766i \(-0.300406\pi\)
−0.407902 + 0.913026i \(0.633739\pi\)
\(462\) −48.3263 13.2323i −2.24834 0.615621i
\(463\) 33.5954i 1.56131i 0.624962 + 0.780655i \(0.285114\pi\)
−0.624962 + 0.780655i \(0.714886\pi\)
\(464\) −1.11433 −0.0517313
\(465\) −4.23465 + 16.3895i −0.196377 + 0.760047i
\(466\) −23.9519 + 13.8286i −1.10955 + 0.640598i
\(467\) 18.3974 0.851330 0.425665 0.904881i \(-0.360040\pi\)
0.425665 + 0.904881i \(0.360040\pi\)
\(468\) 0.0836702 7.66035i 0.00386765 0.354100i
\(469\) −14.0728 + 8.12496i −0.649823 + 0.375176i
\(470\) −2.70432 + 4.84395i −0.124741 + 0.223435i
\(471\) −4.21002 1.15275i −0.193987 0.0531159i
\(472\) 7.31454 + 4.22305i 0.336679 + 0.194382i
\(473\) −18.3054 + 31.7059i −0.841683 + 1.45784i
\(474\) 11.8596 + 11.9899i 0.544732 + 0.550714i
\(475\) −6.82410 + 20.6986i −0.313111 + 0.949716i
\(476\) 11.1107i 0.509260i
\(477\) −0.0904896 + 0.152853i −0.00414324 + 0.00699864i
\(478\) 7.00458 12.1323i 0.320382 0.554918i
\(479\) 14.0729 8.12501i 0.643008 0.371241i −0.142764 0.989757i \(-0.545599\pi\)
0.785772 + 0.618516i \(0.212266\pi\)
\(480\) 3.73189 1.03586i 0.170337 0.0472802i
\(481\) −2.90777 5.03641i −0.132583 0.229640i
\(482\) 10.9625 0.499329
\(483\) −19.8058 + 19.5907i −0.901197 + 0.891407i
\(484\) −14.1932 24.5834i −0.645146 1.11743i
\(485\) 12.1949 7.27711i 0.553743 0.330437i
\(486\) −11.3195 + 10.7177i −0.513464 + 0.486163i
\(487\) 15.7997 0.715951 0.357975 0.933731i \(-0.383467\pi\)
0.357975 + 0.933731i \(0.383467\pi\)
\(488\) −1.11574 + 0.644175i −0.0505073 + 0.0291604i
\(489\) 1.96454 + 7.49525i 0.0888395 + 0.338947i
\(490\) 16.3246 + 27.3567i 0.737471 + 1.23585i
\(491\) −3.85305 2.22456i −0.173886 0.100393i 0.410531 0.911847i \(-0.365343\pi\)
−0.584417 + 0.811454i \(0.698677\pi\)
\(492\) 15.4114 4.03939i 0.694798 0.182110i
\(493\) −2.68601 −0.120972
\(494\) −8.51409 + 7.16988i −0.383067 + 0.322588i
\(495\) −0.147040 42.0995i −0.00660897 1.89223i
\(496\) −3.78516 2.18537i −0.169959 0.0981258i
\(497\) 10.1344 + 5.85112i 0.454591 + 0.262458i
\(498\) 14.6851 + 4.02093i 0.658053 + 0.180182i
\(499\) 16.6367 28.8156i 0.744762 1.28997i −0.205544 0.978648i \(-0.565896\pi\)
0.950306 0.311317i \(-0.100770\pi\)
\(500\) −9.43174 + 6.00352i −0.421800 + 0.268486i
\(501\) −9.95924 + 9.85105i −0.444946 + 0.440112i
\(502\) 14.7576 0.658665
\(503\) 6.97093 + 12.0740i 0.310818 + 0.538353i 0.978540 0.206058i \(-0.0660636\pi\)
−0.667721 + 0.744411i \(0.732730\pi\)
\(504\) 12.0505 6.78296i 0.536771 0.302137i
\(505\) −35.0457 + 0.505210i −1.55951 + 0.0224815i
\(506\) −21.8985 −0.973505
\(507\) 2.96366 10.8237i 0.131621 0.480699i
\(508\) 4.20396 7.28147i 0.186520 0.323063i
\(509\) 0.321137 + 0.556225i 0.0142341 + 0.0246542i 0.873055 0.487622i \(-0.162136\pi\)
−0.858821 + 0.512276i \(0.828802\pi\)
\(510\) 8.99546 2.49686i 0.398326 0.110563i
\(511\) 29.2548 50.6708i 1.29416 2.24155i
\(512\) 1.00000i 0.0441942i
\(513\) 22.5321 + 2.30355i 0.994815 + 0.101704i
\(514\) 2.82832 0.124752
\(515\) 30.1704 + 16.8438i 1.32947 + 0.742225i
\(516\) −2.56179 9.77392i −0.112776 0.430273i
\(517\) −13.4845 + 7.78526i −0.593046 + 0.342395i
\(518\) 5.24874 9.09109i 0.230617 0.399440i
\(519\) −18.5676 5.08402i −0.815029 0.223164i
\(520\) −5.70944 + 0.0823057i −0.250375 + 0.00360934i
\(521\) 15.7298 0.689135 0.344568 0.938761i \(-0.388026\pi\)
0.344568 + 0.938761i \(0.388026\pi\)
\(522\) −1.63977 2.91319i −0.0717708 0.127507i
\(523\) −2.02261 3.50326i −0.0884425 0.153187i 0.818410 0.574634i \(-0.194856\pi\)
−0.906853 + 0.421447i \(0.861522\pi\)
\(524\) 5.71083i 0.249479i
\(525\) −27.5597 + 28.8788i −1.20280 + 1.26037i
\(526\) −7.59024 + 4.38223i −0.330950 + 0.191074i
\(527\) −9.12388 5.26767i −0.397442 0.229464i
\(528\) 10.4842 + 2.87069i 0.456266 + 0.124931i
\(529\) 5.41234 9.37444i 0.235319 0.407584i
\(530\) 0.115602 + 0.0645391i 0.00502142 + 0.00280340i
\(531\) −0.276741 + 25.3368i −0.0120095 + 1.09952i
\(532\) −18.8925 6.83849i −0.819095 0.296486i
\(533\) −23.4888 −1.01741
\(534\) 7.09570 + 27.0720i 0.307061 + 1.17152i
\(535\) 5.13881 9.20458i 0.222170 0.397949i
\(536\) 3.05304 1.76268i 0.131871 0.0761360i
\(537\) −7.13931 + 1.87125i −0.308084 + 0.0807502i
\(538\) −7.24897 + 4.18520i −0.312525 + 0.180437i
\(539\) 89.4120i 3.85125i
\(540\) 8.19965 + 8.23199i 0.352857 + 0.354249i
\(541\) 3.58134 + 6.20307i 0.153974 + 0.266691i 0.932685 0.360692i \(-0.117459\pi\)
−0.778711 + 0.627383i \(0.784126\pi\)
\(542\) 22.2314 12.8353i 0.954922 0.551324i
\(543\) 23.8281 23.5693i 1.02256 1.01145i
\(544\) 2.41043i 0.103346i
\(545\) 9.08857 + 15.2306i 0.389311 + 0.652405i
\(546\) −19.7213 + 5.16904i −0.843993 + 0.221214i
\(547\) 12.4830 + 21.6212i 0.533736 + 0.924457i 0.999223 + 0.0394030i \(0.0125456\pi\)
−0.465488 + 0.885054i \(0.654121\pi\)
\(548\) −4.51364 + 7.81786i −0.192813 + 0.333962i
\(549\) −3.32592 1.96897i −0.141947 0.0840334i
\(550\) −31.3663 + 0.904523i −1.33746 + 0.0385690i
\(551\) −1.65320 + 4.56724i −0.0704285 + 0.194571i
\(552\) 4.29680 4.25012i 0.182884 0.180897i
\(553\) 22.4403 38.8678i 0.954260 1.65283i
\(554\) −7.36868 + 12.7629i −0.313065 + 0.542245i
\(555\) 8.53984 + 2.20648i 0.362496 + 0.0936600i
\(556\) −7.12104 + 12.3340i −0.302000 + 0.523079i
\(557\) 11.8399 + 20.5073i 0.501673 + 0.868924i 0.999998 + 0.00193347i \(0.000615443\pi\)
−0.498325 + 0.866991i \(0.666051\pi\)
\(558\) 0.143209 13.1114i 0.00606253 0.555050i
\(559\) 14.8967i 0.630062i
\(560\) −5.28164 8.85094i −0.223190 0.374020i
\(561\) 25.2714 + 6.91960i 1.06696 + 0.292146i
\(562\) 5.51105i 0.232470i
\(563\) 22.2752i 0.938786i 0.882989 + 0.469393i \(0.155527\pi\)
−0.882989 + 0.469393i \(0.844473\pi\)
\(564\) 1.13486 4.14469i 0.0477863 0.174523i
\(565\) 15.3174 27.4364i 0.644408 1.15426i
\(566\) −15.4460 26.7533i −0.649246 1.12453i
\(567\) 35.4654 + 21.5223i 1.48941 + 0.903851i
\(568\) −2.19862 1.26938i −0.0922522 0.0532618i
\(569\) −1.70293 −0.0713903 −0.0356952 0.999363i \(-0.511365\pi\)
−0.0356952 + 0.999363i \(0.511365\pi\)
\(570\) 1.29094 16.8325i 0.0540717 0.705036i
\(571\) 32.4721 1.35891 0.679457 0.733715i \(-0.262215\pi\)
0.679457 + 0.733715i \(0.262215\pi\)
\(572\) −13.8790 8.01303i −0.580309 0.335042i
\(573\) 1.68462 + 6.42727i 0.0703759 + 0.268503i
\(574\) −21.1996 36.7187i −0.884852 1.53261i
\(575\) −8.28414 + 15.3544i −0.345472 + 0.640321i
\(576\) −2.61430 + 1.47153i −0.108929 + 0.0613139i
\(577\) 10.4917i 0.436775i 0.975862 + 0.218388i \(0.0700797\pi\)
−0.975862 + 0.218388i \(0.929920\pi\)
\(578\) 11.1898i 0.465435i
\(579\) 6.81768 24.8992i 0.283333 1.03478i
\(580\) −2.13970 + 1.27683i −0.0888463 + 0.0530175i
\(581\) 40.5193i 1.68103i
\(582\) −7.82065 + 7.73570i −0.324177 + 0.320655i
\(583\) 0.185796 + 0.321809i 0.00769490 + 0.0133280i
\(584\) −6.34671 + 10.9928i −0.262629 + 0.454887i
\(585\) −8.61681 14.8051i −0.356261 0.612115i
\(586\) 13.3851 23.1837i 0.552935 0.957712i
\(587\) −5.55634 + 9.62387i −0.229335 + 0.397220i −0.957611 0.288064i \(-0.906988\pi\)
0.728276 + 0.685284i \(0.240322\pi\)
\(588\) −17.3534 17.5439i −0.715640 0.723500i
\(589\) −14.5727 + 12.2719i −0.600456 + 0.505656i
\(590\) 18.8841 0.272228i 0.777446 0.0112075i
\(591\) −29.5132 + 7.73553i −1.21401 + 0.318197i
\(592\) −1.13869 + 1.97227i −0.0468000 + 0.0810600i
\(593\) −6.57108 11.3814i −0.269842 0.467380i 0.698979 0.715142i \(-0.253638\pi\)
−0.968821 + 0.247762i \(0.920305\pi\)
\(594\) 7.92301 + 31.6332i 0.325085 + 1.29793i
\(595\) −12.7310 21.3346i −0.521922 0.874632i
\(596\) 10.9589i 0.448892i
\(597\) −5.89351 5.95823i −0.241205 0.243854i
\(598\) −7.71657 + 4.45517i −0.315554 + 0.182185i
\(599\) 15.2831 + 26.4710i 0.624449 + 1.08158i 0.988647 + 0.150256i \(0.0480098\pi\)
−0.364198 + 0.931322i \(0.618657\pi\)
\(600\) 5.97896 6.26514i 0.244090 0.255773i
\(601\) 9.49333i 0.387241i 0.981076 + 0.193621i \(0.0620231\pi\)
−0.981076 + 0.193621i \(0.937977\pi\)
\(602\) −23.2871 + 13.4448i −0.949111 + 0.547969i
\(603\) 9.10083 + 5.38775i 0.370615 + 0.219406i
\(604\) 1.74117 1.00527i 0.0708472 0.0409037i
\(605\) −55.4218 30.9413i −2.25322 1.25794i
\(606\) 26.2620 6.88339i 1.06682 0.279619i
\(607\) 35.1509 1.42673 0.713365 0.700793i \(-0.247170\pi\)
0.713365 + 0.700793i \(0.247170\pi\)
\(608\) 4.09866 + 1.48358i 0.166222 + 0.0601672i
\(609\) −6.32507 + 6.25636i −0.256305 + 0.253521i
\(610\) −1.40431 + 2.51538i −0.0568587 + 0.101845i
\(611\) −3.16777 + 5.48673i −0.128154 + 0.221969i
\(612\) −6.30160 + 3.54703i −0.254727 + 0.143380i
\(613\) −36.2692 20.9400i −1.46490 0.845760i −0.465668 0.884959i \(-0.654186\pi\)
−0.999231 + 0.0391990i \(0.987519\pi\)
\(614\) 24.3254 14.0443i 0.981692 0.566780i
\(615\) 24.9641 25.4152i 1.00665 1.02484i
\(616\) 28.9282i 1.16555i
\(617\) 16.1662 + 28.0007i 0.650826 + 1.12726i 0.982923 + 0.184018i \(0.0589106\pi\)
−0.332097 + 0.943245i \(0.607756\pi\)
\(618\) −25.8150 7.06844i −1.03843 0.284334i
\(619\) 11.1834 0.449497 0.224748 0.974417i \(-0.427844\pi\)
0.224748 + 0.974417i \(0.427844\pi\)
\(620\) −9.77224 + 0.140874i −0.392463 + 0.00565763i
\(621\) 17.4340 + 4.97893i 0.699602 + 0.199798i
\(622\) 9.69002 16.7836i 0.388534 0.672961i
\(623\) 64.5010 37.2397i 2.58418 1.49198i
\(624\) 4.27845 1.12140i 0.171275 0.0448920i
\(625\) −11.2316 + 22.3350i −0.449263 + 0.893400i
\(626\) 24.3594 0.973599
\(627\) 27.3201 38.7122i 1.09106 1.54602i
\(628\) 2.52012i 0.100564i
\(629\) −2.74474 + 4.75403i −0.109440 + 0.189556i
\(630\) 15.3669 26.8323i 0.612233 1.06902i
\(631\) −16.0088 27.7280i −0.637299 1.10383i −0.986023 0.166609i \(-0.946718\pi\)
0.348724 0.937225i \(-0.386615\pi\)
\(632\) −4.86834 + 8.43221i −0.193652 + 0.335415i
\(633\) −8.66541 2.37268i −0.344419 0.0943057i
\(634\) −26.3148 −1.04509
\(635\) −0.270997 18.7987i −0.0107542 0.746004i
\(636\) −0.0989136 0.0270836i −0.00392218 0.00107394i
\(637\) 18.1906 + 31.5070i 0.720736 + 1.24835i
\(638\) −6.99336 −0.276870
\(639\) 0.0831835 7.61580i 0.00329069 0.301276i
\(640\) 1.14583 + 1.92017i 0.0452929 + 0.0759016i
\(641\) 21.2450 36.7975i 0.839128 1.45341i −0.0514971 0.998673i \(-0.516399\pi\)
0.890625 0.454739i \(-0.150267\pi\)
\(642\) −2.15649 + 7.87582i −0.0851097 + 0.310834i
\(643\) −29.2752 16.9020i −1.15450 0.666552i −0.204521 0.978862i \(-0.565564\pi\)
−0.949980 + 0.312310i \(0.898897\pi\)
\(644\) −13.9290 8.04190i −0.548879 0.316895i
\(645\) −16.1183 15.8323i −0.634659 0.623395i
\(646\) 9.87953 + 3.57607i 0.388705 + 0.140699i
\(647\) 0.964578 0.0379215 0.0189607 0.999820i \(-0.493964\pi\)
0.0189607 + 0.999820i \(0.493964\pi\)
\(648\) −7.69408 4.66917i −0.302252 0.183422i
\(649\) 45.9050 + 26.5033i 1.80193 + 1.04034i
\(650\) −10.8688 + 6.70009i −0.426310 + 0.262799i
\(651\) −33.7548 + 8.84729i −1.32296 + 0.346753i
\(652\) −3.87421 + 2.23678i −0.151726 + 0.0875990i
\(653\) 44.6585 1.74762 0.873812 0.486264i \(-0.161641\pi\)
0.873812 + 0.486264i \(0.161641\pi\)
\(654\) −9.66130 9.76741i −0.377787 0.381936i
\(655\) 6.54365 + 10.9658i 0.255682 + 0.428469i
\(656\) 4.59916 + 7.96597i 0.179567 + 0.311019i
\(657\) −38.0780 0.415907i −1.48556 0.0162261i
\(658\) −11.4361 −0.445826
\(659\) 7.39035 + 12.8005i 0.287887 + 0.498635i 0.973305 0.229514i \(-0.0737138\pi\)
−0.685418 + 0.728150i \(0.740381\pi\)
\(660\) 23.4208 6.50089i 0.911654 0.253047i
\(661\) −38.0675 + 21.9783i −1.48065 + 0.854856i −0.999760 0.0219216i \(-0.993022\pi\)
−0.480895 + 0.876778i \(0.659688\pi\)
\(662\) 11.9586 20.7130i 0.464786 0.805032i
\(663\) 10.3129 2.70306i 0.400520 0.104978i
\(664\) 8.79050i 0.341138i
\(665\) −44.1127 + 8.51654i −1.71062 + 0.330257i
\(666\) −6.83175 0.0746198i −0.264725 0.00289146i
\(667\) −1.94412 + 3.36731i −0.0752766 + 0.130383i
\(668\) −7.00410 4.04382i −0.270997 0.156460i
\(669\) −0.297829 + 1.08772i −0.0115147 + 0.0420536i
\(670\) 3.84265 6.88292i 0.148455 0.265910i
\(671\) −7.00225 + 4.04275i −0.270319 + 0.156069i
\(672\) 5.61448 + 5.67614i 0.216583 + 0.218962i
\(673\) 14.4471 0.556893 0.278447 0.960452i \(-0.410180\pi\)
0.278447 + 0.960452i \(0.410180\pi\)
\(674\) 13.7644 7.94689i 0.530186 0.306103i
\(675\) 25.1772 + 6.41146i 0.969072 + 0.246777i
\(676\) 6.47911 0.249196
\(677\) 38.1292i 1.46542i 0.680539 + 0.732712i \(0.261746\pi\)
−0.680539 + 0.732712i \(0.738254\pi\)
\(678\) −6.42791 + 23.4757i −0.246862 + 0.901579i
\(679\) 25.3523 + 14.6372i 0.972933 + 0.561723i
\(680\) 2.76195 + 4.62845i 0.105916 + 0.177493i
\(681\) 3.58220 + 13.6671i 0.137270 + 0.523723i
\(682\) −23.7552 13.7150i −0.909632 0.525176i
\(683\) 33.2936i 1.27394i 0.770887 + 0.636972i \(0.219813\pi\)
−0.770887 + 0.636972i \(0.780187\pi\)
\(684\) 2.15278 + 12.8983i 0.0823136 + 0.493178i
\(685\) 0.290960 + 20.1835i 0.0111170 + 0.771173i
\(686\) −16.7023 + 28.9292i −0.637695 + 1.10452i
\(687\) 10.4247 2.73236i 0.397728 0.104246i
\(688\) 5.05204 2.91679i 0.192607 0.111202i
\(689\) 0.130942 + 0.0755993i 0.00498849 + 0.00288010i
\(690\) 3.38068 13.0844i 0.128700 0.498114i
\(691\) 7.32876 0.278799 0.139400 0.990236i \(-0.455483\pi\)
0.139400 + 0.990236i \(0.455483\pi\)
\(692\) 11.1146i 0.422514i
\(693\) 75.6272 42.5689i 2.87284 1.61706i
\(694\) −11.6794 + 6.74308i −0.443342 + 0.255964i
\(695\) 0.459040 + 31.8430i 0.0174124 + 1.20787i
\(696\) 1.37220 1.35729i 0.0520130 0.0514480i
\(697\) 11.0860 + 19.2014i 0.419910 + 0.727306i
\(698\) 7.22433 + 4.17097i 0.273445 + 0.157874i
\(699\) 12.6509 46.2030i 0.478501 1.74756i
\(700\) −20.2834 10.9435i −0.766639 0.413625i
\(701\) −13.7046 7.91236i −0.517616 0.298846i 0.218343 0.975872i \(-0.429935\pi\)
−0.735959 + 0.677026i \(0.763268\pi\)
\(702\) 9.22757 + 9.53499i 0.348272 + 0.359875i
\(703\) 6.39433 + 7.59314i 0.241167 + 0.286381i
\(704\) 6.27586i 0.236530i
\(705\) −2.56998 9.25888i −0.0967910 0.348710i
\(706\) −6.93233 4.00239i −0.260902 0.150632i
\(707\) −36.1255 62.5712i −1.35864 2.35323i
\(708\) −14.1511 + 3.70906i −0.531830 + 0.139395i
\(709\) 1.42321 + 2.46507i 0.0534498 + 0.0925778i 0.891512 0.452996i \(-0.149645\pi\)
−0.838063 + 0.545574i \(0.816312\pi\)
\(710\) −5.67623 + 0.0818270i −0.213025 + 0.00307091i
\(711\) −29.2083 0.319027i −1.09540 0.0119645i
\(712\) −13.9932 + 8.07900i −0.524419 + 0.302773i
\(713\) −13.2076 + 7.62543i −0.494630 + 0.285575i
\(714\) 13.5333 + 13.6819i 0.506472 + 0.512034i
\(715\) −35.8316 + 0.516539i −1.34003 + 0.0193175i
\(716\) −2.13056 3.69023i −0.0796227 0.137911i
\(717\) 6.15205 + 23.4717i 0.229752 + 0.876568i
\(718\) 4.23571 + 7.33647i 0.158075 + 0.273794i
\(719\) −22.6148 13.0567i −0.843389 0.486931i 0.0150255 0.999887i \(-0.495217\pi\)
−0.858415 + 0.512956i \(0.828550\pi\)
\(720\) −3.33379 + 5.82115i −0.124243 + 0.216942i
\(721\) 71.2294i 2.65272i
\(722\) 12.1614 14.5980i 0.452600 0.543280i
\(723\) −13.4994 + 13.3528i −0.502048 + 0.496595i
\(724\) 16.7578 + 9.67510i 0.622797 + 0.359572i
\(725\) −2.64557 + 4.90347i −0.0982540 + 0.182110i
\(726\) 47.4212 + 12.9844i 1.75997 + 0.481898i
\(727\) −23.4044 13.5125i −0.868022 0.501152i −0.00133130 0.999999i \(-0.500424\pi\)
−0.866690 + 0.498847i \(0.833757\pi\)
\(728\) −5.88535 10.1937i −0.218125 0.377804i
\(729\) 0.884528 26.9855i 0.0327603 0.999463i
\(730\) 0.409124 + 28.3804i 0.0151424 + 1.05041i
\(731\) 12.1776 7.03073i 0.450404 0.260041i
\(732\) 0.589314 2.15226i 0.0217817 0.0795500i
\(733\) 30.6170i 1.13087i 0.824794 + 0.565433i \(0.191291\pi\)
−0.824794 + 0.565433i \(0.808709\pi\)
\(734\) −25.2411 −0.931666
\(735\) −53.4239 13.8034i −1.97057 0.509146i
\(736\) 3.02184 + 1.74466i 0.111386 + 0.0643090i
\(737\) 19.1605 11.0623i 0.705785 0.407485i
\(738\) −14.0577 + 23.7458i −0.517469 + 0.874095i
\(739\) 10.0943 17.4838i 0.371324 0.643152i −0.618446 0.785827i \(-0.712237\pi\)
0.989769 + 0.142676i \(0.0455707\pi\)
\(740\) 0.0734029 + 5.09186i 0.00269834 + 0.187181i
\(741\) 1.75120 19.1996i 0.0643318 0.705314i
\(742\) 0.272925i 0.0100194i
\(743\) −15.4773 8.93584i −0.567808 0.327824i 0.188465 0.982080i \(-0.439649\pi\)
−0.756273 + 0.654256i \(0.772982\pi\)
\(744\) 7.32297 1.91938i 0.268473 0.0703680i
\(745\) −12.5570 21.0429i −0.460053 0.770953i
\(746\) −24.0963 13.9120i −0.882229 0.509355i
\(747\) −22.9811 + 12.9355i −0.840833 + 0.473286i
\(748\) 15.1275i 0.553117i
\(749\) 21.7311 0.794038
\(750\) 4.30186 18.8810i 0.157082 0.689438i
\(751\) 5.47575 3.16143i 0.199813 0.115362i −0.396755 0.917924i \(-0.629864\pi\)
0.596568 + 0.802562i \(0.296530\pi\)
\(752\) 2.48102 0.0904734
\(753\) −18.1728 + 17.9754i −0.662252 + 0.655058i
\(754\) −2.46432 + 1.42277i −0.0897451 + 0.0518144i
\(755\) 2.19149 3.92537i 0.0797564 0.142859i
\(756\) −6.57725 + 23.0306i −0.239212 + 0.837614i
\(757\) −10.8515 6.26511i −0.394404 0.227709i 0.289662 0.957129i \(-0.406457\pi\)
−0.684067 + 0.729419i \(0.739790\pi\)
\(758\) 8.84812 15.3254i 0.321378 0.556643i
\(759\) 26.9661 26.6732i 0.978807 0.968174i
\(760\) 9.57007 1.84763i 0.347143 0.0670205i
\(761\) 24.3793i 0.883747i 0.897077 + 0.441874i \(0.145686\pi\)
−0.897077 + 0.441874i \(0.854314\pi\)
\(762\) 3.69229 + 14.0871i 0.133758 + 0.510321i
\(763\) −18.2807 + 31.6631i −0.661807 + 1.14628i
\(764\) −3.32219 + 1.91807i −0.120193 + 0.0693932i
\(765\) −8.03587 + 14.0315i −0.290538 + 0.507310i
\(766\) 11.1294 + 19.2767i 0.402121 + 0.696494i
\(767\) 21.5680 0.778776
\(768\) −1.21804 1.23141i −0.0439522 0.0444349i
\(769\) 18.4689 + 31.9891i 0.666006 + 1.15356i 0.979011 + 0.203805i \(0.0653309\pi\)
−0.313005 + 0.949751i \(0.601336\pi\)
\(770\) −33.1468 55.5472i −1.19453 2.00178i
\(771\) −3.48284 + 3.44500i −0.125431 + 0.124069i
\(772\) 14.9047 0.536432
\(773\) −14.1058 + 8.14398i −0.507350 + 0.292919i −0.731744 0.681580i \(-0.761293\pi\)
0.224394 + 0.974499i \(0.427960\pi\)
\(774\) 15.0596 + 8.91540i 0.541307 + 0.320457i
\(775\) −18.6030 + 11.4678i −0.668239 + 0.411937i
\(776\) −5.50008 3.17547i