Properties

Label 570.2.n.a.179.12
Level $570$
Weight $2$
Character 570.179
Analytic conductor $4.551$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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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 179.12
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.457417 + 1.67056i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.92017 - 1.14583i) q^{5} +(0.439145 - 1.67546i) q^{6} -4.60944i q^{7} -1.00000i q^{8} +(-2.58154 + 1.52829i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.457417 + 1.67056i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.92017 - 1.14583i) q^{5} +(0.439145 - 1.67546i) q^{6} -4.60944i q^{7} -1.00000i q^{8} +(-2.58154 + 1.52829i) q^{9} +(1.09000 + 1.95241i) q^{10} +6.27586i q^{11} +(-1.21804 + 1.23141i) q^{12} +(1.27680 + 2.21149i) q^{13} +(-2.30472 + 3.99190i) q^{14} +(1.03586 - 3.73189i) 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} +(7.70035 - 2.10844i) q^{21} +(3.13793 - 5.43505i) q^{22} +(1.74466 + 3.02184i) q^{23} +(1.67056 - 0.457417i) q^{24} +(2.37414 + 4.40039i) 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} +(-10.4842 + 2.87069i) q^{33} +(2.08749 - 1.20522i) q^{34} +(-5.28164 + 8.85094i) q^{35} +(-2.61430 - 1.47153i) q^{36} -2.27739 q^{37} +(-0.764508 - 4.29133i) q^{38} +(-3.11039 + 3.14455i) q^{39} +(-1.14583 + 1.92017i) q^{40} +(-4.59916 + 7.96597i) q^{41} +(-7.72292 - 2.02421i) 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} +(-1.67546 - 0.439145i) q^{48} -14.2470 q^{49} +(0.144127 - 4.99792i) q^{50} +(-4.03857 - 1.05853i) q^{51} +(-1.27680 + 2.21149i) q^{52} +(-0.0512773 + 0.0296049i) q^{53} +(1.42691 + 4.99639i) q^{54} +(7.19107 - 12.0507i) q^{55} -4.60944 q^{56} +(-4.28558 + 6.21561i) q^{57} +1.11433i q^{58} +(4.22305 - 7.31454i) q^{59} +(3.74984 - 0.968866i) q^{60} +(-0.644175 - 1.11574i) q^{61} +(2.18537 - 3.78516i) q^{62} +(7.04455 + 11.8995i) q^{63} -1.00000 q^{64} +(0.0823057 - 5.70944i) q^{65} +(10.5149 + 2.75601i) q^{66} +(-1.76268 - 3.05304i) q^{67} -2.41043 q^{68} +(-4.25012 + 4.29680i) q^{69} +(8.99951 - 5.02432i) q^{70} +(-1.26938 + 2.19862i) q^{71} +(1.52829 + 2.58154i) 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} +(4.26595 - 1.16806i) q^{78} +(-8.43221 - 4.86834i) q^{79} +(1.95241 - 1.09000i) q^{80} +(4.32868 - 7.89066i) q^{81} +(7.96597 - 4.59916i) q^{82} -8.79050 q^{83} +(5.67614 + 5.61448i) q^{84} +(4.70614 - 2.62738i) q^{85} +(-2.91679 - 5.05204i) q^{86} +(1.35729 - 1.37220i) q^{87} +6.27586 q^{88} +(8.07900 + 13.9932i) q^{89} +(-5.79772 - 3.37437i) q^{90} +(10.1937 - 5.88535i) q^{91} +(-1.74466 + 3.02184i) q^{92} +(-7.30157 + 1.99925i) q^{93} +2.48102i q^{94} +(-1.57100 - 9.61935i) q^{95} +(1.23141 + 1.21804i) q^{96} +(-3.17547 + 5.50008i) q^{97} +(12.3382 + 7.12349i) q^{98} +(-9.59131 - 16.2014i) 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
\(3\) 0.457417 + 1.67056i 0.264090 + 0.964498i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.92017 1.14583i −0.858728 0.512431i
\(6\) 0.439145 1.67546i 0.179280 0.684002i
\(7\) 4.60944i 1.74221i −0.491100 0.871103i \(-0.663405\pi\)
0.491100 0.871103i \(-0.336595\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −2.58154 + 1.52829i −0.860513 + 0.509429i
\(10\) 1.09000 + 1.95241i 0.344690 + 0.617405i
\(11\) 6.27586i 1.89224i 0.323812 + 0.946121i \(0.395035\pi\)
−0.323812 + 0.946121i \(0.604965\pi\)
\(12\) −1.21804 + 1.23141i −0.351617 + 0.355479i
\(13\) 1.27680 + 2.21149i 0.354121 + 0.613356i 0.986967 0.160922i \(-0.0514467\pi\)
−0.632846 + 0.774278i \(0.718113\pi\)
\(14\) −2.30472 + 3.99190i −0.615963 + 1.06688i
\(15\) 1.03586 3.73189i 0.267457 0.963570i
\(16\) −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
\(21\) 7.70035 2.10844i 1.68035 0.460099i
\(22\) 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 \(0.714817\pi\)
\(24\) 1.67056 0.457417i 0.341002 0.0933700i
\(25\) 2.37414 + 4.40039i 0.474829 + 0.880078i
\(26\) 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 0.809646 0.586918i \(-0.199659\pi\)
−0.913109 + 0.407715i \(0.866326\pi\)
\(30\) −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
\(33\) −10.4842 + 2.87069i −1.82506 + 0.499723i
\(34\) 2.08749 1.20522i 0.358002 0.206693i
\(35\) −5.28164 + 8.85094i −0.892761 + 1.49608i
\(36\) −2.61430 1.47153i −0.435717 0.245256i
\(37\) −2.27739 −0.374400 −0.187200 0.982322i \(-0.559941\pi\)
−0.187200 + 0.982322i \(0.559941\pi\)
\(38\) −0.764508 4.29133i −0.124020 0.696146i
\(39\) −3.11039 + 3.14455i −0.498061 + 0.503530i
\(40\) −1.14583 + 1.92017i −0.181172 + 0.303606i
\(41\) −4.59916 + 7.96597i −0.718268 + 1.24408i 0.243418 + 0.969921i \(0.421731\pi\)
−0.961686 + 0.274154i \(0.911602\pi\)
\(42\) −7.72292 2.02421i −1.19167 0.312343i
\(43\) 5.05204 + 2.91679i 0.770428 + 0.444807i 0.833027 0.553232i \(-0.186606\pi\)
−0.0625990 + 0.998039i \(0.519939\pi\)
\(44\) −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 \(0.891250\pi\)
\(48\) −1.67546 0.439145i −0.241831 0.0633851i
\(49\) −14.2470 −2.03528
\(50\) 0.144127 4.99792i 0.0203827 0.706813i
\(51\) −4.03857 1.05853i −0.565513 0.148224i
\(52\) −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 \(0.334628\pi\)
\(54\) 1.42691 + 4.99639i 0.194177 + 0.679923i
\(55\) 7.19107 12.0507i 0.969644 1.62492i
\(56\) −4.60944 −0.615963
\(57\) −4.28558 + 6.21561i −0.567639 + 0.823278i
\(58\) 1.11433i 0.146318i
\(59\) 4.22305 7.31454i 0.549795 0.952272i −0.448494 0.893786i \(-0.648039\pi\)
0.998288 0.0584862i \(-0.0186274\pi\)
\(60\) 3.74984 0.968866i 0.484102 0.125080i
\(61\) −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
\(63\) 7.04455 + 11.8995i 0.887530 + 1.49919i
\(64\) −1.00000 −0.125000
\(65\) 0.0823057 5.70944i 0.0102088 0.708169i
\(66\) 10.5149 + 2.75601i 1.29430 + 0.339241i
\(67\) −1.76268 3.05304i −0.215345 0.372989i 0.738034 0.674763i \(-0.235754\pi\)
−0.953379 + 0.301775i \(0.902421\pi\)
\(68\) −2.41043 −0.292308
\(69\) −4.25012 + 4.29680i −0.511654 + 0.517274i
\(70\) 8.99951 5.02432i 1.07565 0.600521i
\(71\) −1.26938 + 2.19862i −0.150647 + 0.260929i −0.931466 0.363829i \(-0.881469\pi\)
0.780818 + 0.624758i \(0.214802\pi\)
\(72\) 1.52829 + 2.58154i 0.180110 + 0.304237i
\(73\) 10.9928 + 6.34671i 1.28661 + 0.742827i 0.978049 0.208376i \(-0.0668179\pi\)
0.308565 + 0.951203i \(0.400151\pi\)
\(74\) 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
\(78\) 4.26595 1.16806i 0.483023 0.132257i
\(79\) −8.43221 4.86834i −0.948698 0.547731i −0.0560215 0.998430i \(-0.517842\pi\)
−0.892676 + 0.450699i \(0.851175\pi\)
\(80\) 1.95241 1.09000i 0.218286 0.121866i
\(81\) 4.32868 7.89066i 0.480965 0.876740i
\(82\) 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
\(85\) 4.70614 2.62738i 0.510453 0.284980i
\(86\) −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 \(0.160620\pi\)
−0.0189945 + 0.999820i \(0.506046\pi\)
\(90\) −5.79772 3.37437i −0.611134 0.355690i
\(91\) 10.1937 5.88535i 1.06859 0.616952i
\(92\) −1.74466 + 3.02184i −0.181893 + 0.315048i
\(93\) −7.30157 + 1.99925i −0.757137 + 0.207312i
\(94\) 2.48102i 0.255897i
\(95\) −1.57100 9.61935i −0.161181 0.986925i
\(96\) 1.23141 + 1.21804i 0.125681 + 0.124316i
\(97\) −3.17547 + 5.50008i −0.322421 + 0.558449i −0.980987 0.194074i \(-0.937830\pi\)
0.658566 + 0.752523i \(0.271163\pi\)
\(98\) 12.3382 + 7.12349i 1.24635 + 0.719581i
\(99\) −9.59131 16.2014i −0.963963 1.62830i
\(100\) −2.62378 + 4.25626i −0.262378 + 0.425626i
\(101\) 13.5746 7.83727i 1.35072 0.779838i 0.362369 0.932035i \(-0.381968\pi\)
0.988350 + 0.152197i \(0.0486348\pi\)
\(102\) 2.96824 + 2.93600i 0.293900 + 0.290707i
\(103\) −15.4529 −1.52262 −0.761311 0.648387i \(-0.775444\pi\)
−0.761311 + 0.648387i \(0.775444\pi\)
\(104\) 2.21149 1.27680i 0.216854 0.125201i
\(105\) −17.2019 4.77473i −1.67874 0.465965i
\(106\) 0.0592099 0.00575097
\(107\) 4.71448i 0.455766i −0.973689 0.227883i \(-0.926820\pi\)
0.973689 0.227883i \(-0.0731804\pi\)
\(108\) 1.26246 5.04046i 0.121480 0.485018i
\(109\) 6.86919 + 3.96593i 0.657949 + 0.379867i 0.791495 0.611176i \(-0.209303\pi\)
−0.133546 + 0.991043i \(0.542636\pi\)
\(110\) −12.2530 + 6.84072i −1.16828 + 0.652237i
\(111\) −1.04172 3.80451i −0.0988754 0.361108i
\(112\) 3.99190 + 2.30472i 0.377199 + 0.217776i
\(113\) 14.0526i 1.32196i −0.750404 0.660979i \(-0.770141\pi\)
0.750404 0.660979i \(-0.229859\pi\)
\(114\) 6.81923 3.24009i 0.638679 0.303462i
\(115\) 0.112465 7.80154i 0.0104874 0.727497i
\(116\) 0.557163 0.965035i 0.0517313 0.0896013i
\(117\) −6.67590 3.75772i −0.617187 0.347401i
\(118\) −7.31454 + 4.22305i −0.673358 + 0.388764i
\(119\) 9.62219 + 5.55537i 0.882065 + 0.509260i
\(120\) −3.73189 1.03586i −0.340673 0.0945604i
\(121\) −28.3864 −2.58058
\(122\) 1.28835i 0.116642i
\(123\) −15.4114 4.03939i −1.38960 0.364219i
\(124\) −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 0.990032 0.140845i \(-0.0449818\pi\)
−0.616991 + 0.786970i \(0.711648\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −2.56179 + 9.77392i −0.225553 + 0.860546i
\(130\) −2.92600 + 4.90337i −0.256627 + 0.430054i
\(131\) −4.94573 2.85542i −0.432110 0.249479i 0.268135 0.963381i \(-0.413593\pi\)
−0.700245 + 0.713902i \(0.746926\pi\)
\(132\) −7.72819 7.64424i −0.672652 0.665345i
\(133\) 15.3686 12.9422i 1.33262 1.12223i
\(134\) 3.52535i 0.304544i
\(135\) 3.02929 + 11.2171i 0.260720 + 0.965415i
\(136\) 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 \(0.707319\pi\)
\(138\) 5.82911 1.59607i 0.496207 0.135867i
\(139\) 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
\(147\) −6.51681 23.8004i −0.537498 1.96303i
\(148\) −1.13869 1.97227i −0.0936000 0.162120i
\(149\) 9.49064 + 5.47943i 0.777504 + 0.448892i 0.835545 0.549422i \(-0.185152\pi\)
−0.0580411 + 0.998314i \(0.518485\pi\)
\(150\) 8.41525 2.04536i 0.687103 0.167003i
\(151\) 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
\(155\) 5.00812 8.39257i 0.402262 0.674107i
\(156\) −4.27845 1.12140i −0.342550 0.0897840i
\(157\) 2.18249 + 1.26006i 0.174182 + 0.100564i 0.584556 0.811353i \(-0.301269\pi\)
−0.410374 + 0.911917i \(0.634602\pi\)
\(158\) 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
\(162\) −7.69408 + 4.66917i −0.604504 + 0.366845i
\(163\) 4.47356i 0.350396i −0.984533 0.175198i \(-0.943943\pi\)
0.984533 0.175198i \(-0.0560566\pi\)
\(164\) −9.19831 −0.718268
\(165\) 23.4208 + 6.50089i 1.82331 + 0.506094i
\(166\) 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 \(0.434641\pi\)
\(168\) −2.10844 7.70035i −0.162670 0.594095i
\(169\) 3.23955 5.61107i 0.249196 0.431621i
\(170\) −5.38933 0.0776911i −0.413343 0.00595863i
\(171\) −12.3438 4.31619i −0.943957 0.330067i
\(172\) 5.83359i 0.444807i
\(173\) −9.62554 5.55731i −0.731816 0.422514i 0.0872698 0.996185i \(-0.472186\pi\)
−0.819086 + 0.573670i \(0.805519\pi\)
\(174\) −1.86155 + 0.509712i −0.141124 + 0.0386412i
\(175\) 20.2834 10.9435i 1.53328 0.827249i
\(176\) −5.43505 3.13793i −0.409683 0.236530i
\(177\) 14.1511 + 3.70906i 1.06366 + 0.278790i
\(178\) 16.1580i 1.21109i
\(179\) 4.26112 0.318491 0.159245 0.987239i \(-0.449094\pi\)
0.159245 + 0.987239i \(0.449094\pi\)
\(180\) 3.33379 + 5.82115i 0.248486 + 0.433883i
\(181\) 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
\(185\) 4.37298 + 2.60950i 0.321508 + 0.191854i
\(186\) 7.32297 + 1.91938i 0.536946 + 0.140736i
\(187\) −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
\(190\) −3.44915 + 9.11610i −0.250228 + 0.661352i
\(191\) 3.83614i 0.277573i −0.990322 0.138786i \(-0.955680\pi\)
0.990322 0.138786i \(-0.0443202\pi\)
\(192\) −0.457417 1.67056i −0.0330113 0.120562i
\(193\) −7.45236 + 12.9079i −0.536432 + 0.929128i 0.462660 + 0.886536i \(0.346895\pi\)
−0.999093 + 0.0425924i \(0.986438\pi\)
\(194\) 5.50008 3.17547i 0.394883 0.227986i
\(195\) 9.57561 2.47410i 0.685723 0.177174i
\(196\) −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 \(0.888194\pi\)
\(200\) 4.40039 2.37414i 0.311155 0.167877i
\(201\) 4.29401 4.34117i 0.302876 0.306203i
\(202\) −15.6745 −1.10286
\(203\) −4.44828 + 2.56821i −0.312208 + 0.180253i
\(204\) −1.10257 4.02677i −0.0771956 0.281930i
\(205\) 17.9588 10.0262i 1.25430 0.700261i
\(206\) 13.3826 + 7.72646i 0.932412 + 0.538328i
\(207\) −9.12213 5.13465i −0.634032 0.356883i
\(208\) −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
\(213\) −4.25357 1.11488i −0.291450 0.0763903i
\(214\) −2.35724 + 4.08286i −0.161138 + 0.279099i
\(215\) −6.35864 11.3895i −0.433656 0.776760i
\(216\) −3.61355 + 3.73393i −0.245871 + 0.254062i
\(217\) 20.1466 1.36764
\(218\) −3.96593 6.86919i −0.268607 0.465240i
\(219\) −5.57425 + 21.2673i −0.376673 + 1.43711i
\(220\) 14.0318 + 0.202278i 0.946023 + 0.0136376i
\(221\) −6.15529 −0.414049
\(222\) −1.00010 + 3.81566i −0.0671225 + 0.256090i
\(223\) 0.325555 0.563878i 0.0218008 0.0377601i −0.854919 0.518761i \(-0.826393\pi\)
0.876720 + 0.481001i \(0.159727\pi\)
\(224\) −2.30472 3.99190i −0.153991 0.266720i
\(225\) −12.8540 7.73141i −0.856933 0.515427i
\(226\) −7.02630 + 12.1699i −0.467383 + 0.809531i
\(227\) 8.15722i 0.541414i 0.962662 + 0.270707i \(0.0872575\pi\)
−0.962662 + 0.270707i \(0.912743\pi\)
\(228\) −7.52567 0.603616i −0.498399 0.0399754i
\(229\) 6.22202 0.411162 0.205581 0.978640i \(-0.434092\pi\)
0.205581 + 0.978640i \(0.434092\pi\)
\(230\) −3.99817 + 6.70010i −0.263631 + 0.441791i
\(231\) 13.2323 + 48.3263i 0.870620 + 3.17964i
\(232\) −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 \(-0.194169\pi\)
\(234\) 3.90264 + 6.59223i 0.255123 + 0.430947i
\(235\) −0.0799662 + 5.54715i −0.00521642 + 0.361856i
\(236\) 8.44611 0.549795
\(237\) 4.27581 16.3134i 0.277744 1.05967i
\(238\) −5.55537 9.62219i −0.360101 0.623714i
\(239\) 14.0092i 0.906177i −0.891465 0.453089i \(-0.850322\pi\)
0.891465 0.453089i \(-0.149678\pi\)
\(240\) 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
\(243\) 15.1618 + 3.62200i 0.972632 + 0.232351i
\(244\) 0.644175 1.11574i 0.0412391 0.0714281i
\(245\) 27.3567 + 16.3246i 1.74775 + 1.04294i
\(246\) 11.3269 + 11.2039i 0.722179 + 0.714334i
\(247\) −3.78848 + 10.4663i −0.241055 + 0.665958i
\(248\) 4.37073 0.277542
\(249\) −4.02093 14.6851i −0.254816 0.930628i
\(250\) −6.00352 + 9.43174i −0.379696 + 0.596516i
\(251\) 12.7805 7.37881i 0.806697 0.465747i −0.0391106 0.999235i \(-0.512452\pi\)
0.845807 + 0.533488i \(0.179119\pi\)
\(252\) −6.78296 + 12.0505i −0.427286 + 0.759109i
\(253\) −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
\(260\) 4.98567 2.78344i 0.309198 0.172622i
\(261\) 2.91319 + 1.63977i 0.180322 + 0.101499i
\(262\) 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 \(0.0795703\pi\)
\(264\) 2.87069 + 10.4842i 0.176679 + 0.645258i
\(265\) 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 −0.964943 0.262458i \(-0.915467\pi\)
0.709767 + 0.704436i \(0.248800\pi\)
\(270\) 2.98511 11.2289i 0.181668 0.683372i
\(271\) −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
\(275\) −27.6162 + 14.8998i −1.66532 + 0.898491i
\(276\) −5.84620 1.53231i −0.351900 0.0922345i
\(277\) 14.7374i 0.885482i 0.896650 + 0.442741i \(0.145994\pi\)
−0.896650 + 0.442741i \(0.854006\pi\)
\(278\) 14.2421i 0.854184i
\(279\) −6.67973 11.2832i −0.399905 0.675508i
\(280\) 8.85094 + 5.28164i 0.528945 + 0.315639i
\(281\) 2.75553 + 4.77271i 0.164381 + 0.284716i 0.936435 0.350840i \(-0.114104\pi\)
−0.772054 + 0.635557i \(0.780771\pi\)
\(282\) −4.14469 + 1.13486i −0.246813 + 0.0675800i
\(283\) −26.7533 15.4460i −1.59032 0.918172i −0.993251 0.115983i \(-0.962998\pi\)
−0.597070 0.802189i \(-0.703669\pi\)
\(284\) −2.53875 −0.150647
\(285\) 15.3511 7.02451i 0.909321 0.416096i
\(286\) 16.0261 0.947641
\(287\) 36.7187 + 21.1996i 2.16744 + 1.25137i
\(288\) −1.47153 + 2.61430i −0.0867110 + 0.154049i
\(289\) 5.59491 + 9.69067i 0.329112 + 0.570039i
\(290\) 1.27683 2.13970i 0.0749780 0.125648i
\(291\) −10.6407 2.78898i −0.623771 0.163493i
\(292\) 12.6934i 0.742827i
\(293\) 26.7703i 1.56394i 0.623318 + 0.781968i \(0.285784\pi\)
−0.623318 + 0.781968i \(0.714216\pi\)
\(294\) −6.25648 + 23.8702i −0.364885 + 1.39214i
\(295\) −16.4902 + 9.20630i −0.960098 + 0.536011i
\(296\) 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
\(300\) −8.31050 2.43629i −0.479807 0.140659i
\(301\) 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
\(306\) −3.54703 + 6.30160i −0.202770 + 0.360239i
\(307\) 14.0443 24.3254i 0.801548 1.38832i −0.117048 0.993126i \(-0.537343\pi\)
0.918597 0.395196i \(-0.129323\pi\)
\(308\) 14.4641 + 25.0526i 0.824169 + 1.42750i
\(309\) −7.06844 25.8150i −0.402109 1.46857i
\(310\) −8.53344 + 4.76412i −0.484667 + 0.270584i
\(311\) 19.3800i 1.09894i −0.835513 0.549470i \(-0.814830\pi\)
0.835513 0.549470i \(-0.185170\pi\)
\(312\) 3.14455 + 3.11039i 0.178025 + 0.176091i
\(313\) 21.0959 12.1797i 1.19241 0.688439i 0.233558 0.972343i \(-0.424963\pi\)
0.958853 + 0.283904i \(0.0916298\pi\)
\(314\) −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 \(0.0686352\pi\)
\(318\) 0.0270836 + 0.0989136i 0.00151877 + 0.00554680i
\(319\) 6.05642 3.49668i 0.339095 0.195776i
\(320\) 1.92017 + 1.14583i 0.107341 + 0.0640539i
\(321\) 7.87582 2.15649i 0.439585 0.120363i
\(322\) −16.0838 −0.896316
\(323\) −10.3440 + 1.84279i −0.575553 + 0.102536i
\(324\) 8.99785 0.196581i 0.499881 0.0109212i
\(325\) −6.70009 + 10.8688i −0.371654 + 0.602893i
\(326\) −2.23678 + 3.87421i −0.123884 + 0.214573i
\(327\) −3.48323 + 13.2895i −0.192623 + 0.734910i
\(328\) 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
\(333\) 5.87916 3.48050i 0.322176 0.190730i
\(334\) 8.08764 0.442536
\(335\) −0.113626 + 7.88211i −0.00620807 + 0.430646i
\(336\) −2.02421 + 7.72292i −0.110430 + 0.421320i
\(337\) 7.94689 13.7644i 0.432895 0.749796i −0.564226 0.825620i \(-0.690825\pi\)
0.997121 + 0.0758243i \(0.0241588\pi\)
\(338\) −5.61107 + 3.23955i −0.305202 + 0.176208i
\(339\) 23.4757 6.42791i 1.27503 0.349116i
\(340\) 4.62845 + 2.76195i 0.251013 + 0.149788i
\(341\) −27.4301 −1.48542
\(342\) 8.53199 + 9.90985i 0.461357 + 0.535863i
\(343\) 33.4045i 1.80367i
\(344\) 2.91679 5.05204i 0.157263 0.272388i
\(345\) 13.0844 3.38068i 0.704439 0.182010i
\(346\) 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 \(0.0487649\pi\)
\(348\) 1.86700 + 0.489351i 0.100082 + 0.0262319i
\(349\) −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
\(351\) 3.22382 12.8713i 0.172075 0.687021i
\(352\) 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
\(355\) 4.95667 2.76725i 0.263073 0.146870i
\(356\) −8.07900 + 13.9932i −0.428186 + 0.741640i
\(357\) −4.87922 + 18.6156i −0.258236 + 0.985240i
\(358\) −3.69023 2.13056i −0.195035 0.112603i
\(359\) 7.33647 + 4.23571i 0.387204 + 0.223552i 0.680948 0.732332i \(-0.261568\pi\)
−0.293744 + 0.955884i \(0.594901\pi\)
\(360\) 0.0234295 6.70816i 0.00123484 0.353551i
\(361\) −3.23309 + 18.7229i −0.170163 + 0.985416i
\(362\) −19.3502 −1.01702
\(363\) −12.9844 47.4212i −0.681506 2.48897i
\(364\) 10.1937 + 5.88535i 0.534296 + 0.308476i
\(365\) −13.8359 24.7827i −0.724204 1.29719i
\(366\) −2.15226 + 0.589314i −0.112501 + 0.0308039i
\(367\) −21.8594 + 12.6205i −1.14105 + 0.658787i −0.946691 0.322143i \(-0.895597\pi\)
−0.194362 + 0.980930i \(0.562264\pi\)
\(368\) −3.48932 −0.181893
\(369\) −0.301388 27.5933i −0.0156896 1.43645i
\(370\) −2.48236 4.44638i −0.129052 0.231156i
\(371\) 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 \(-0.756013\pi\)
−0.720337 + 0.693624i \(0.756013\pi\)
\(374\) 7.56376 + 13.1008i 0.391113 + 0.677427i
\(375\) 18.8810 4.30186i 0.975013 0.222147i
\(376\) −2.14862 + 1.24051i −0.110807 + 0.0639743i
\(377\) 1.42277 2.46432i 0.0732766 0.126919i
\(378\) 23.0306 6.57725i 1.18457 0.338297i
\(379\) 17.6962i 0.908995i 0.890748 + 0.454497i \(0.150181\pi\)
−0.890748 + 0.454497i \(0.849819\pi\)
\(380\) 7.54510 6.17020i 0.387056 0.316525i
\(381\) −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 \(0.859214\pi\)
\(384\) −0.439145 + 1.67546i −0.0224100 + 0.0855002i
\(385\) −55.5472 33.1468i −2.83095 1.68932i
\(386\) 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 −0.704267 0.709935i \(-0.748724\pi\)
0.262688 + 0.964881i \(0.415391\pi\)
\(390\) −9.52977 2.64517i −0.482559 0.133943i
\(391\) −8.41076 −0.425350
\(392\) 14.2470i 0.719581i
\(393\) 2.50788 9.56825i 0.126506 0.482654i
\(394\) 15.2550 + 8.80750i 0.768538 + 0.443715i
\(395\) 10.6130 + 19.0099i 0.533999 + 0.956494i
\(396\) 9.23514 16.4070i 0.464083 0.824483i
\(397\) 18.5066 + 10.6848i 0.928819 + 0.536254i 0.886438 0.462848i \(-0.153172\pi\)
0.0423812 + 0.999102i \(0.486506\pi\)
\(398\) 4.83852i 0.242533i
\(399\) 28.6505 + 19.7541i 1.43432 + 0.988944i
\(400\) −4.99792 0.144127i −0.249896 0.00720637i
\(401\) 7.33894 12.7114i 0.366489 0.634778i −0.622525 0.782600i \(-0.713893\pi\)
0.989014 + 0.147822i \(0.0472263\pi\)
\(402\) −5.88931 + 1.61256i −0.293732 + 0.0804271i
\(403\) −9.66581 + 5.58056i −0.481488 + 0.277987i
\(404\) 13.5746 + 7.83727i 0.675359 + 0.389919i
\(405\) −17.3532 + 10.1915i −0.862287 + 0.506420i
\(406\) 5.13643 0.254917
\(407\) 14.2926i 0.708456i
\(408\) −1.05853 + 4.03857i −0.0524049 + 0.199939i
\(409\) 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
\(414\) 5.33267 + 9.00780i 0.262087 + 0.442709i
\(415\) 16.8793 + 10.0724i 0.828573 + 0.494436i
\(416\) 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 \(-0.930217\pi\)
0.976065 0.217479i \(-0.0697833\pi\)
\(420\) −4.46593 17.2847i −0.217915 0.843406i
\(421\) 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
\(423\) 6.48613 + 3.65090i 0.315367 + 0.177513i
\(424\) 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 0.994281 0.106791i \(-0.0340577\pi\)
−0.589625 + 0.807677i \(0.700724\pi\)
\(432\) 4.99639 1.42691i 0.240389 0.0686521i
\(433\) 18.6240 + 32.2577i 0.895013 + 1.55021i 0.833789 + 0.552084i \(0.186167\pi\)
0.0612243 + 0.998124i \(0.480499\pi\)
\(434\) −17.4475 10.0733i −0.837507 0.483535i
\(435\) −4.17855 + 1.07963i −0.200346 + 0.0517645i
\(436\) 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 \(0.695086\pi\)
\(440\) −12.0507 7.19107i −0.574497 0.342821i
\(441\) 36.7791 21.7735i 1.75139 1.03683i
\(442\) 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
\(447\) −4.81252 + 18.3611i −0.227624 + 0.868449i
\(448\) 4.60944i 0.217776i
\(449\) 20.1146 0.949265 0.474633 0.880184i \(-0.342581\pi\)
0.474633 + 0.880184i \(0.342581\pi\)
\(450\) 7.26619 + 13.1226i 0.342531 + 0.618605i
\(451\) −49.9933 28.8637i −2.35409 1.35914i
\(452\) 12.1699 7.02630i 0.572425 0.330490i
\(453\) 3.35871 0.919652i 0.157806 0.0432090i
\(454\) 4.07861 7.06436i 0.191419 0.331547i
\(455\) −26.3173 0.379384i −1.23378 0.0177858i
\(456\) 6.21561 + 4.28558i 0.291073 + 0.200691i
\(457\) 10.7902i 0.504746i −0.967630 0.252373i \(-0.918789\pi\)
0.967630 0.252373i \(-0.0812110\pi\)
\(458\) −5.38842 3.11101i −0.251784 0.145368i
\(459\) 12.0435 3.43946i 0.562141 0.160540i
\(460\) 6.81256 3.80337i 0.317637 0.177333i
\(461\) −3.84009 2.21708i −0.178851 0.103260i 0.407902 0.913026i \(-0.366261\pi\)
−0.586753 + 0.809766i \(0.699594\pi\)
\(462\) 12.7037 48.4680i 0.591028 2.25493i
\(463\) 33.5954i 1.56131i −0.624962 0.780655i \(-0.714886\pi\)
0.624962 0.780655i \(-0.285114\pi\)
\(464\) 1.11433 0.0517313
\(465\) 16.3111 + 4.52745i 0.756409 + 0.209956i
\(466\) −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
\(470\) 2.84283 4.76399i 0.131130 0.219746i
\(471\) −1.10670 + 4.22236i −0.0509940 + 0.194556i
\(472\) −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
\(475\) −8.00556 + 20.2709i −0.367320 + 0.930095i
\(476\) 11.1107i 0.509260i
\(477\) 0.0871294 0.154793i 0.00398938 0.00708747i
\(478\) −7.00458 + 12.1323i −0.320382 + 0.554918i
\(479\) −14.0729 + 8.12501i −0.643008 + 0.371241i −0.785772 0.618516i \(-0.787734\pi\)
0.142764 + 0.989757i \(0.454401\pi\)
\(480\) −0.968866 3.74984i −0.0442225 0.171156i
\(481\) −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
\(485\) 12.3996 6.92256i 0.563038 0.314337i
\(486\) −11.3195 10.7177i −0.513464 0.486163i
\(487\) −15.7997 −0.715951 −0.357975 0.933731i \(-0.616533\pi\)
−0.357975 + 0.933731i \(0.616533\pi\)
\(488\) −1.11574 + 0.644175i −0.0505073 + 0.0291604i
\(489\) 7.47334 2.04628i 0.337956 0.0925361i
\(490\) −15.5293 27.8159i −0.701541 1.25659i
\(491\) 3.85305 + 2.22456i 0.173886 + 0.100393i 0.584417 0.811454i \(-0.301323\pi\)
−0.410531 + 0.911847i \(0.634657\pi\)
\(492\) −4.20747 15.3663i −0.189687 0.692768i
\(493\) 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
\(498\) −3.86030 + 14.7281i −0.172984 + 0.659982i
\(499\) 16.6367 28.8156i 0.744762 1.28997i −0.205544 0.978648i \(-0.565896\pi\)
0.950306 0.311317i \(-0.100770\pi\)
\(500\) 9.91507 5.16636i 0.443416 0.231047i
\(501\) −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 \(0.732730\pi\)
\(504\) 11.8995 7.04455i 0.530044 0.313789i
\(505\) −35.0457 0.505210i −1.55951 0.0224815i
\(506\) 21.8985 0.973505
\(507\) 10.8555 + 2.84527i 0.482108 + 0.126363i
\(508\) −4.20396 + 7.28147i −0.186520 + 0.323063i
\(509\) −0.321137 0.556225i −0.0142341 0.0246542i 0.858821 0.512276i \(-0.171198\pi\)
−0.873055 + 0.487622i \(0.837864\pi\)
\(510\) −2.33539 9.03873i −0.103413 0.400242i
\(511\) 29.2548 50.6708i 1.29416 2.24155i
\(512\) 1.00000i 0.0441942i
\(513\) 1.56416 22.5954i 0.0690592 0.997613i
\(514\) 2.82832 0.124752
\(515\) 29.6723 + 17.7064i 1.30752 + 0.780239i
\(516\) −9.74536 + 2.66839i −0.429016 + 0.117469i
\(517\) 13.4845 7.78526i 0.593046 0.342395i
\(518\) 5.24874 9.09109i 0.230617 0.399440i
\(519\) 4.88093 18.6221i 0.214249 0.817417i
\(520\) −5.70944 0.0823057i −0.250375 0.00360934i
\(521\) −15.7298 −0.689135 −0.344568 0.938761i \(-0.611974\pi\)
−0.344568 + 0.938761i \(0.611974\pi\)
\(522\) −1.70301 2.87668i −0.0745387 0.125909i
\(523\) 2.02261 + 3.50326i 0.0884425 + 0.153187i 0.906853 0.421447i \(-0.138478\pi\)
−0.818410 + 0.574634i \(0.805144\pi\)
\(524\) 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
\(528\) 2.75601 10.5149i 0.119940 0.457603i
\(529\) 5.41234 9.37444i 0.235319 0.407584i
\(530\) −0.113693 0.0678445i −0.00493852 0.00294698i
\(531\) 0.276741 + 25.3368i 0.0120095 + 1.09952i
\(532\) 18.8925 + 6.83849i 0.819095 + 0.296486i
\(533\) −23.4888 −1.01741
\(534\) 26.9929 7.39095i 1.16810 0.319838i
\(535\) −5.40200 + 9.05263i −0.233549 + 0.391379i
\(536\) −3.05304 + 1.76268i −0.131871 + 0.0761360i
\(537\) 1.94911 + 7.11845i 0.0841103 + 0.307184i
\(538\) 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
\(545\) −8.64576 15.4862i −0.370344 0.663356i
\(546\) −5.38412 19.6636i −0.230419 0.841526i
\(547\) −12.4830 21.6212i −0.533736 0.924457i −0.999223 0.0394030i \(-0.987454\pi\)
0.465488 0.885054i \(-0.345879\pi\)
\(548\) −4.51364 + 7.81786i −0.192813 + 0.333962i
\(549\) 3.36814 + 1.89585i 0.143749 + 0.0809129i
\(550\) 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
\(555\) −2.35905 + 8.49896i −0.100136 + 0.360761i
\(556\) −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
\(560\) −5.02432 8.99951i −0.212316 0.380299i
\(561\) 6.64317 25.3455i 0.280475 1.07009i
\(562\) 5.51105i 0.232470i
\(563\) 22.2752i 0.938786i 0.882989 + 0.469393i \(0.155527\pi\)
−0.882989 + 0.469393i \(0.844473\pi\)
\(564\) 4.15683 + 1.08953i 0.175034 + 0.0458773i
\(565\) −16.1019 + 26.9835i −0.677412 + 1.13520i
\(566\) 15.4460 + 26.7533i 0.649246 + 1.12453i
\(567\) −36.3716 19.9528i −1.52746 0.837939i
\(568\) 2.19862 + 1.26938i 0.0922522 + 0.0532618i
\(569\) 1.70293 0.0713903 0.0356952 0.999363i \(-0.488635\pi\)
0.0356952 + 0.999363i \(0.488635\pi\)
\(570\) −16.8067 1.59215i −0.703955 0.0666877i
\(571\) 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
\(573\) 6.40849 1.75472i 0.267719 0.0733043i
\(574\) −21.1996 36.7187i −0.884852 1.53261i
\(575\) −9.15520 + 14.8515i −0.381798 + 0.619348i
\(576\) 2.58154 1.52829i 0.107564 0.0636786i
\(577\) 10.4917i 0.436775i −0.975862 0.218388i \(-0.929920\pi\)
0.975862 0.218388i \(-0.0700797\pi\)
\(578\) 11.1898i 0.465435i
\(579\) −24.9722 6.54533i −1.03781 0.272014i
\(580\) −2.17562 + 1.21462i −0.0903376 + 0.0504344i
\(581\) 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
\(585\) 8.51318 + 14.8649i 0.351977 + 0.614589i
\(586\) 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
\(591\) −8.05741 29.4269i −0.331438 1.21046i
\(592\) 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 \(0.920305\pi\)
\(594\) −31.3567 + 8.95507i −1.28658 + 0.367431i
\(595\) −12.1108 21.6927i −0.496493 0.889314i
\(596\) 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 \(-0.951990\pi\)
0.364198 0.931322i \(-0.381343\pi\)
\(600\) 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
\(603\) 9.21634 + 5.18768i 0.375318 + 0.211259i
\(604\) 1.74117 1.00527i 0.0708472 0.0409037i
\(605\) 54.5069 + 32.5260i 2.21602 + 1.32237i
\(606\) −7.16981 26.1853i −0.291254 1.06370i
\(607\) −35.1509 −1.42673 −0.713365 0.700793i \(-0.752830\pi\)
−0.713365 + 0.700793i \(0.752830\pi\)
\(608\) 4.09866 + 1.48358i 0.166222 + 0.0601672i
\(609\) −6.32507 6.25636i −0.256305 0.253521i
\(610\) 1.47623 2.47386i 0.0597708 0.100164i
\(611\) 3.16777 5.48673i 0.128154 0.221969i
\(612\) 6.22262 3.68383i 0.251535 0.148910i
\(613\) 36.2692 + 20.9400i 1.46490 + 0.845760i 0.999231 0.0391990i \(-0.0124806\pi\)
0.465668 + 0.884959i \(0.345814\pi\)
\(614\) −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 \(0.607756\pi\)
\(618\) −6.78607 + 25.8907i −0.272976 + 1.04148i
\(619\) 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
\(621\) 4.40512 17.5877i 0.176771 0.705772i
\(622\) −9.69002 + 16.7836i −0.388534 + 0.672961i
\(623\) 64.5010 37.2397i 2.58418 1.49198i
\(624\) −1.16806 4.26595i −0.0467599 0.170775i
\(625\) −13.7269 + 20.8943i −0.549076 + 0.835773i
\(626\) −24.3594 −0.973599
\(627\) −39.0083 26.8957i −1.55784 1.07411i
\(628\) 2.52012i 0.100564i
\(629\) 2.74474 4.75403i 0.109440 0.189556i
\(630\) −15.5540 + 26.7243i −0.619685 + 1.06472i
\(631\) −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
\(633\) 2.27790 8.69081i 0.0905384 0.345429i
\(634\) −26.3148 −1.04509
\(635\) 0.270997 18.7987i 0.0107542 0.746004i
\(636\) 0.0260017 0.0992035i 0.00103103 0.00393368i
\(637\) −18.1906 31.5070i −0.720736 1.24835i
\(638\) −6.99336 −0.276870
\(639\) −0.0831835 7.61580i −0.00329069 0.301276i
\(640\) −1.09000 1.95241i −0.0430862 0.0771756i
\(641\) −21.2450 + 36.7975i −0.839128 + 1.45341i 0.0514971 + 0.998673i \(0.483601\pi\)
−0.890625 + 0.454739i \(0.849733\pi\)
\(642\) −7.89890 2.07034i −0.311745 0.0817098i
\(643\) 29.2752 + 16.9020i 1.15450 + 0.666552i 0.949980 0.312310i \(-0.101103\pi\)
0.204521 + 0.978862i \(0.434436\pi\)
\(644\) 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 \(0.493964\pi\)
\(648\) −7.89066 4.32868i −0.309974 0.170047i
\(649\) 45.9050 + 26.5033i 1.80193 + 1.04034i
\(650\) 11.2369 6.06262i 0.440746 0.237796i
\(651\) 9.21543 + 33.6562i 0.361181 + 1.31909i
\(652\) 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
\(655\) 6.22484 + 11.1499i 0.243224 + 0.435661i
\(656\) −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 0.685418 0.728150i \(-0.259619\pi\)
−0.973305 + 0.229514i \(0.926286\pi\)
\(660\) 6.08047 + 23.5335i 0.236682 + 0.916039i
\(661\) −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
\(663\) −2.81554 10.2828i −0.109346 0.399350i
\(664\) 8.79050i 0.341138i
\(665\) −44.3399 + 7.24143i −1.71943 + 0.280811i
\(666\) −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
\(669\) 1.09091 + 0.285932i 0.0421769 + 0.0110548i
\(670\) 4.03946 6.76929i 0.156058 0.261521i
\(671\) 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 \(-0.589820\pi\)
−0.278447 + 0.960452i \(0.589820\pi\)
\(674\) −13.7644 + 7.94689i −0.530186 + 0.306103i
\(675\) 7.03613 25.0099i 0.270821 0.962630i
\(676\) 6.47911 0.249196
\(677\) 38.1292i 1.46542i 0.680539 + 0.732712i \(0.261746\pi\)
−0.680539 + 0.732712i \(0.738254\pi\)
\(678\) −23.5445 6.17113i −0.904222 0.237001i
\(679\) 25.3523 + 14.6372i 0.972933 + 0.561723i
\(680\) −2.62738 4.70614i −0.100755 0.180472i
\(681\) −13.6271 + 3.73126i −0.522193 + 0.142982i
\(682\) 23.7552 + 13.7150i 0.909632 + 0.525176i
\(683\) 33.2936i 1.27394i 0.770887 + 0.636972i \(0.219813\pi\)
−0.770887 + 0.636972i \(0.780187\pi\)
\(684\) −2.43399 12.8482i −0.0930661 0.491262i
\(685\) 0.290960 20.1835i 0.0111170 0.771173i
\(686\) 16.7023 28.9292i 0.637695 1.10452i
\(687\) 2.84606 + 10.3942i 0.108584 + 0.396565i
\(688\) −5.05204 + 2.91679i −0.192607 + 0.111202i
\(689\) −0.130942 0.0755993i −0.00498849 0.00288010i
\(690\) −13.0217 3.61443i −0.495729 0.137599i
\(691\) 7.32876 0.278799 0.139400 0.990236i \(-0.455483\pi\)
0.139400 + 0.990236i \(0.455483\pi\)
\(692\) 11.1146i 0.422514i
\(693\) −74.6793 + 44.2106i −2.83683 + 1.67942i
\(694\) −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
\(699\) 46.3384 + 12.1455i 1.75268 + 0.459386i
\(700\) 19.6190 + 12.0942i 0.741529 + 0.457116i
\(701\) 13.7046 + 7.91236i 0.517616 + 0.298846i 0.735959 0.677026i \(-0.236732\pi\)
−0.218343 + 0.975872i \(0.570065\pi\)
\(702\) −9.22757 + 9.53499i −0.348272 + 0.359875i
\(703\) −6.39433 7.59314i −0.241167 0.286381i
\(704\) 6.27586i 0.236530i
\(705\) −9.30342 + 2.40377i −0.350387 + 0.0905314i
\(706\) −6.93233 4.00239i −0.260902 0.150632i
\(707\) −36.1255 62.5712i −1.35864 2.35323i
\(708\) 3.86340 + 14.1097i 0.145195 + 0.530276i
\(709\) 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
\(717\) 23.4031 6.40804i 0.874006 0.239312i
\(718\) −4.23571 7.33647i −0.158075 0.273794i
\(719\) 22.6148 + 13.0567i 0.843389 + 0.486931i 0.858415 0.512956i \(-0.171450\pi\)
−0.0150255 + 0.999887i \(0.504783\pi\)
\(720\) −3.37437 + 5.79772i −0.125755 + 0.216068i
\(721\) 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
\(725\) 2.92375 4.74287i 0.108585 0.176146i
\(726\) −12.4657 + 47.5602i −0.462647 + 1.76512i
\(727\) 23.4044 + 13.5125i 0.868022 + 0.501152i 0.866690 0.498847i \(-0.166243\pi\)
0.00133130 + 0.999999i \(0.499576\pi\)
\(728\) −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
\(732\) 2.15857 + 0.565772i 0.0797831 + 0.0209115i
\(733\) 30.6170i 1.13087i −0.824794 0.565433i \(-0.808709\pi\)
0.824794 0.565433i \(-0.191291\pi\)
\(734\) 25.2411 0.931666
\(735\) −14.7578 + 53.1681i −0.544351 + 1.96114i
\(736\) 3.02184 + 1.74466i 0.111386 + 0.0643090i
\(737\) 19.1605 11.0623i 0.705785 0.407485i
\(738\) −13.5356 + 24.0472i −0.498254 + 0.885189i
\(739\) 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
\(741\) −19.2176 1.54140i −0.705975 0.0566246i
\(742\) 0.272925i 0.0100194i
\(743\) −15.4773 8.93584i −0.567808 0.327824i 0.188465 0.982080i \(-0.439649\pi\)
−0.756273 + 0.654256i \(0.772982\pi\)
\(744\) 1.99925 + 7.30157i 0.0732960 + 0.267688i
\(745\) −11.9452 21.3961i −0.437638 0.783894i
\(746\) 24.0963 + 13.9120i 0.882229 + 0.509355i
\(747\) 22.6930 13.4344i 0.830294 0.491539i
\(748\) 15.1275i 0.553117i
\(749\) −21.7311 −0.794038
\(750\) −18.5024 5.71500i −0.675612 0.208682i
\(751\) 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
\(755\) −2.30373 + 3.86057i −0.0838412 + 0.140501i
\(756\) −23.2337 5.81923i −0.845001 0.211643i
\(757\) 10.8515 + 6.26511i 0.394404 + 0.227709i 0.684067 0.729419i \(-0.260210\pi\)
−0.289662 + 0.957129i \(0.593543\pi\)
\(758\) 8.84812 15.3254i 0.321378 0.556643i
\(759\) −26.9661 26.6732i −0.978807 0.968174i
\(760\) −9.61935 + 1.57100i −0.348931 + 0.0569861i
\(761\) 24.3793i 0.883747i −0.897077 0.441874i \(-0.854314\pi\)
0.897077 0.441874i \(-0.145686\pi\)
\(762\) 14.0459 3.84593i 0.508830 0.139323i
\(763\) 18.2807 31.6631i 0.661807 1.14628i
\(764\) 3.32219 1.91807i 0.120193 0.0693932i
\(765\) −8.13369 + 13.9750i −0.294074 + 0.505268i
\(766\) 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 \(0.601336\pi\)
\(770\) 31.5319 + 56.4796i 1.13633 + 2.03538i
\(771\) −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 \(0.427960\pi\)
\(774\) 15.2508 + 8.58433i 0.548178 + 0.308557i
\(775\) −19.2329 + 10.3767i −0.690867 + 0.372744i
\(776\) 5.50008 +