Properties

Label 441.2.y.a.151.40
Level $441$
Weight $2$
Character 441.151
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 151.40
Character \(\chi\) \(=\) 441.151
Dual form 441.2.y.a.184.40

$q$-expansion

\(f(q)\) \(=\) \(q+(1.29871 - 0.625427i) q^{2} +(-1.72560 + 0.149311i) q^{3} +(0.0485143 - 0.0608350i) q^{4} +(-2.51203 - 2.33082i) q^{5} +(-2.14768 + 1.27315i) q^{6} +(0.896804 + 2.48912i) q^{7} +(-0.616552 + 2.70129i) q^{8} +(2.95541 - 0.515304i) q^{9} +O(q^{10})\) \(q+(1.29871 - 0.625427i) q^{2} +(-1.72560 + 0.149311i) q^{3} +(0.0485143 - 0.0608350i) q^{4} +(-2.51203 - 2.33082i) q^{5} +(-2.14768 + 1.27315i) q^{6} +(0.896804 + 2.48912i) q^{7} +(-0.616552 + 2.70129i) q^{8} +(2.95541 - 0.515304i) q^{9} +(-4.72015 - 1.45597i) q^{10} +(2.86145 + 1.95091i) q^{11} +(-0.0746330 + 0.112221i) q^{12} +(3.25508 + 2.21928i) q^{13} +(2.72145 + 2.67177i) q^{14} +(4.68278 + 3.64700i) q^{15} +(0.923366 + 4.04553i) q^{16} +(-2.59959 + 0.391825i) q^{17} +(3.51594 - 2.51763i) q^{18} +(2.30654 + 3.99505i) q^{19} +(-0.263665 + 0.0397410i) q^{20} +(-1.91918 - 4.16134i) q^{21} +(4.93635 + 0.744036i) q^{22} +(-0.403767 - 1.02878i) q^{23} +(0.660591 - 4.75342i) q^{24} +(0.503905 + 6.72414i) q^{25} +(5.61541 + 0.846386i) q^{26} +(-5.02293 + 1.33049i) q^{27} +(0.194934 + 0.0662011i) q^{28} +(-3.59729 + 0.542204i) q^{29} +(8.36251 + 1.80766i) q^{30} -4.62643 q^{31} +(0.274284 + 0.343942i) q^{32} +(-5.22903 - 2.93924i) q^{33} +(-3.13106 + 2.13472i) q^{34} +(3.54891 - 8.34304i) q^{35} +(0.112031 - 0.204792i) q^{36} +(-0.631627 + 1.60936i) q^{37} +(5.49414 + 3.74584i) q^{38} +(-5.94834 - 3.34357i) q^{39} +(7.84502 - 5.34865i) q^{40} +(-3.29010 + 1.01486i) q^{41} +(-5.09508 - 4.20407i) q^{42} +(10.2291 + 3.15525i) q^{43} +(0.257505 - 0.0794297i) q^{44} +(-8.62515 - 5.59407i) q^{45} +(-1.16780 - 1.08356i) q^{46} +(4.61311 - 2.22156i) q^{47} +(-2.19741 - 6.84311i) q^{48} +(-5.39149 + 4.46451i) q^{49} +(4.85988 + 8.41757i) q^{50} +(4.42736 - 1.06428i) q^{51} +(0.292928 - 0.0903562i) q^{52} +(-0.613372 - 1.56285i) q^{53} +(-5.69121 + 4.86939i) q^{54} +(-2.64084 - 11.5703i) q^{55} +(-7.27678 + 0.887854i) q^{56} +(-4.57668 - 6.54947i) q^{57} +(-4.33273 + 2.95401i) q^{58} +(2.97708 + 13.0434i) q^{59} +(0.449047 - 0.107945i) q^{60} +(-2.00641 - 2.51596i) q^{61} +(-6.00840 + 2.89349i) q^{62} +(3.93308 + 6.89426i) q^{63} +(-6.90593 - 3.32572i) q^{64} +(-3.00411 - 13.1619i) q^{65} +(-8.62928 - 0.546856i) q^{66} -1.42196 q^{67} +(-0.102281 + 0.177155i) q^{68} +(0.850349 + 1.71498i) q^{69} +(-0.608949 - 13.0548i) q^{70} +(-5.28022 + 6.62119i) q^{71} +(-0.430179 + 8.30115i) q^{72} +(13.5381 - 9.23013i) q^{73} +(0.186235 + 2.48513i) q^{74} +(-1.87353 - 11.5280i) q^{75} +(0.354939 + 0.0534984i) q^{76} +(-2.28989 + 8.87210i) q^{77} +(-9.81634 - 0.622083i) q^{78} +1.21893 q^{79} +(7.10988 - 12.3147i) q^{80} +(8.46892 - 3.04587i) q^{81} +(-3.63818 + 3.37573i) q^{82} +(13.2614 - 9.04146i) q^{83} +(-0.346263 - 0.0851309i) q^{84} +(7.44351 + 5.07490i) q^{85} +(15.2580 - 2.29978i) q^{86} +(6.12653 - 1.47274i) q^{87} +(-7.03421 + 6.52679i) q^{88} +(-0.312717 - 4.17291i) q^{89} +(-14.7003 - 1.87069i) q^{90} +(-2.60489 + 10.0926i) q^{91} +(-0.0821743 - 0.0253474i) q^{92} +(7.98338 - 0.690779i) q^{93} +(4.60168 - 5.77033i) q^{94} +(3.51764 - 15.4118i) q^{95} +(-0.524660 - 0.552553i) q^{96} +(-6.82148 + 11.8152i) q^{97} +(-4.20976 + 9.17010i) q^{98} +(9.46209 + 4.29121i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 5q^{2} - 13q^{3} - 109q^{4} - 12q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 3q^{9} + O(q^{10}) \) \( 648q - 5q^{2} - 13q^{3} - 109q^{4} - 12q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 3q^{9} - 22q^{10} - 8q^{11} - 64q^{12} - 4q^{13} - 26q^{14} - 4q^{15} - 97q^{16} - 37q^{17} - q^{18} - 14q^{19} - 11q^{20} - 33q^{21} - q^{22} + 31q^{23} - 20q^{24} + 38q^{25} - 44q^{26} - 49q^{27} - 22q^{28} + 73q^{29} - 12q^{30} - 20q^{31} - q^{32} - 43q^{33} - 7q^{34} - 32q^{35} + 20q^{36} - 39q^{37} - 40q^{38} + q^{39} - q^{40} - 17q^{41} + 82q^{42} - q^{43} - 31q^{44} - 177q^{45} + 56q^{46} + 5q^{47} - 23q^{48} - q^{49} - 21q^{50} - 18q^{51} - 48q^{52} + 50q^{53} - 15q^{54} + 20q^{55} + 127q^{56} + 33q^{57} - 82q^{58} + 53q^{59} + 43q^{60} + 42q^{61} - 30q^{62} + 57q^{63} - 88q^{64} - 11q^{65} - 90q^{66} - 26q^{67} + 145q^{68} + 64q^{69} - 46q^{70} - 19q^{71} - 46q^{72} - 40q^{73} + 18q^{74} - 114q^{75} + 43q^{76} + 7q^{77} - 129q^{78} - 26q^{79} + 163q^{80} + 85q^{81} - 28q^{82} - 221q^{83} - 113q^{84} - 10q^{85} - 18q^{86} + 37q^{87} - 4q^{88} - 104q^{89} - 60q^{90} - 49q^{91} + 119q^{92} - 149q^{93} - 13q^{94} + 37q^{95} + 186q^{96} - 11q^{97} - 33q^{98} + 62q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.29871 0.625427i 0.918328 0.442243i 0.0858541 0.996308i \(-0.472638\pi\)
0.832474 + 0.554064i \(0.186924\pi\)
\(3\) −1.72560 + 0.149311i −0.996277 + 0.0862050i
\(4\) 0.0485143 0.0608350i 0.0242571 0.0304175i
\(5\) −2.51203 2.33082i −1.12341 1.04237i −0.998740 0.0501762i \(-0.984022\pi\)
−0.124672 0.992198i \(-0.539788\pi\)
\(6\) −2.14768 + 1.27315i −0.876786 + 0.519762i
\(7\) 0.896804 + 2.48912i 0.338960 + 0.940801i
\(8\) −0.616552 + 2.70129i −0.217984 + 0.955051i
\(9\) 2.95541 0.515304i 0.985137 0.171768i
\(10\) −4.72015 1.45597i −1.49264 0.460420i
\(11\) 2.86145 + 1.95091i 0.862761 + 0.588221i 0.911827 0.410575i \(-0.134672\pi\)
−0.0490657 + 0.998796i \(0.515624\pi\)
\(12\) −0.0746330 + 0.112221i −0.0215447 + 0.0323953i
\(13\) 3.25508 + 2.21928i 0.902797 + 0.615517i 0.923219 0.384275i \(-0.125549\pi\)
−0.0204218 + 0.999791i \(0.506501\pi\)
\(14\) 2.72145 + 2.67177i 0.727339 + 0.714061i
\(15\) 4.68278 + 3.64700i 1.20909 + 0.941650i
\(16\) 0.923366 + 4.04553i 0.230841 + 1.01138i
\(17\) −2.59959 + 0.391825i −0.630493 + 0.0950316i −0.456512 0.889717i \(-0.650901\pi\)
−0.173982 + 0.984749i \(0.555663\pi\)
\(18\) 3.51594 2.51763i 0.828716 0.593410i
\(19\) 2.30654 + 3.99505i 0.529157 + 0.916527i 0.999422 + 0.0340014i \(0.0108251\pi\)
−0.470265 + 0.882525i \(0.655842\pi\)
\(20\) −0.263665 + 0.0397410i −0.0589572 + 0.00888636i
\(21\) −1.91918 4.16134i −0.418800 0.908079i
\(22\) 4.93635 + 0.744036i 1.05243 + 0.158629i
\(23\) −0.403767 1.02878i −0.0841911 0.214516i 0.882578 0.470166i \(-0.155806\pi\)
−0.966769 + 0.255650i \(0.917711\pi\)
\(24\) 0.660591 4.75342i 0.134843 0.970287i
\(25\) 0.503905 + 6.72414i 0.100781 + 1.34483i
\(26\) 5.61541 + 0.846386i 1.10127 + 0.165990i
\(27\) −5.02293 + 1.33049i −0.966663 + 0.256052i
\(28\) 0.194934 + 0.0662011i 0.0368390 + 0.0125108i
\(29\) −3.59729 + 0.542204i −0.667999 + 0.100685i −0.474282 0.880373i \(-0.657292\pi\)
−0.193717 + 0.981057i \(0.562054\pi\)
\(30\) 8.36251 + 1.80766i 1.52678 + 0.330032i
\(31\) −4.62643 −0.830932 −0.415466 0.909609i \(-0.636381\pi\)
−0.415466 + 0.909609i \(0.636381\pi\)
\(32\) 0.274284 + 0.343942i 0.0484871 + 0.0608009i
\(33\) −5.22903 2.93924i −0.910257 0.511657i
\(34\) −3.13106 + 2.13472i −0.536973 + 0.366102i
\(35\) 3.54891 8.34304i 0.599875 1.41023i
\(36\) 0.112031 0.204792i 0.0186719 0.0341320i
\(37\) −0.631627 + 1.60936i −0.103839 + 0.264577i −0.973345 0.229344i \(-0.926342\pi\)
0.869506 + 0.493922i \(0.164437\pi\)
\(38\) 5.49414 + 3.74584i 0.891268 + 0.607656i
\(39\) −5.94834 3.34357i −0.952497 0.535400i
\(40\) 7.84502 5.34865i 1.24041 0.845695i
\(41\) −3.29010 + 1.01486i −0.513828 + 0.158495i −0.540816 0.841141i \(-0.681885\pi\)
0.0269882 + 0.999636i \(0.491408\pi\)
\(42\) −5.09508 4.20407i −0.786187 0.648702i
\(43\) 10.2291 + 3.15525i 1.55992 + 0.481172i 0.950251 0.311484i \(-0.100826\pi\)
0.609669 + 0.792656i \(0.291302\pi\)
\(44\) 0.257505 0.0794297i 0.0388203 0.0119745i
\(45\) −8.62515 5.59407i −1.28576 0.833915i
\(46\) −1.16780 1.08356i −0.172183 0.159763i
\(47\) 4.61311 2.22156i 0.672892 0.324048i −0.0660506 0.997816i \(-0.521040\pi\)
0.738942 + 0.673769i \(0.235326\pi\)
\(48\) −2.19741 6.84311i −0.317168 0.987718i
\(49\) −5.39149 + 4.46451i −0.770212 + 0.637788i
\(50\) 4.85988 + 8.41757i 0.687291 + 1.19042i
\(51\) 4.42736 1.06428i 0.619954 0.149029i
\(52\) 0.292928 0.0903562i 0.0406217 0.0125301i
\(53\) −0.613372 1.56285i −0.0842531 0.214673i 0.882538 0.470241i \(-0.155833\pi\)
−0.966791 + 0.255567i \(0.917738\pi\)
\(54\) −5.69121 + 4.86939i −0.774476 + 0.662640i
\(55\) −2.64084 11.5703i −0.356090 1.56013i
\(56\) −7.27678 + 0.887854i −0.972401 + 0.118644i
\(57\) −4.57668 6.54947i −0.606196 0.867499i
\(58\) −4.33273 + 2.95401i −0.568915 + 0.387880i
\(59\) 2.97708 + 13.0434i 0.387583 + 1.69811i 0.672946 + 0.739691i \(0.265029\pi\)
−0.285364 + 0.958419i \(0.592114\pi\)
\(60\) 0.449047 0.107945i 0.0579717 0.0139357i
\(61\) −2.00641 2.51596i −0.256895 0.322136i 0.636613 0.771183i \(-0.280335\pi\)
−0.893508 + 0.449047i \(0.851763\pi\)
\(62\) −6.00840 + 2.89349i −0.763068 + 0.367474i
\(63\) 3.93308 + 6.89426i 0.495522 + 0.868596i
\(64\) −6.90593 3.32572i −0.863242 0.415715i
\(65\) −3.00411 13.1619i −0.372615 1.63253i
\(66\) −8.62928 0.546856i −1.06219 0.0673134i
\(67\) −1.42196 −0.173720 −0.0868601 0.996221i \(-0.527683\pi\)
−0.0868601 + 0.996221i \(0.527683\pi\)
\(68\) −0.102281 + 0.177155i −0.0124033 + 0.0214832i
\(69\) 0.850349 + 1.71498i 0.102370 + 0.206459i
\(70\) −0.608949 13.0548i −0.0727834 1.56034i
\(71\) −5.28022 + 6.62119i −0.626647 + 0.785791i −0.989263 0.146148i \(-0.953312\pi\)
0.362615 + 0.931939i \(0.381884\pi\)
\(72\) −0.430179 + 8.30115i −0.0506970 + 0.978299i
\(73\) 13.5381 9.23013i 1.58452 1.08031i 0.632369 0.774667i \(-0.282083\pi\)
0.952148 0.305638i \(-0.0988698\pi\)
\(74\) 0.186235 + 2.48513i 0.0216494 + 0.288891i
\(75\) −1.87353 11.5280i −0.216337 1.33113i
\(76\) 0.354939 + 0.0534984i 0.0407143 + 0.00613669i
\(77\) −2.28989 + 8.87210i −0.260957 + 1.01107i
\(78\) −9.81634 0.622083i −1.11148 0.0704370i
\(79\) 1.21893 0.137141 0.0685704 0.997646i \(-0.478156\pi\)
0.0685704 + 0.997646i \(0.478156\pi\)
\(80\) 7.10988 12.3147i 0.794909 1.37682i
\(81\) 8.46892 3.04587i 0.940991 0.338430i
\(82\) −3.63818 + 3.37573i −0.401769 + 0.372787i
\(83\) 13.2614 9.04146i 1.45563 0.992429i 0.461166 0.887314i \(-0.347431\pi\)
0.994460 0.105115i \(-0.0335210\pi\)
\(84\) −0.346263 0.0851309i −0.0377804 0.00928855i
\(85\) 7.44351 + 5.07490i 0.807362 + 0.550450i
\(86\) 15.2580 2.29978i 1.64531 0.247991i
\(87\) 6.12653 1.47274i 0.656833 0.157895i
\(88\) −7.03421 + 6.52679i −0.749849 + 0.695758i
\(89\) −0.312717 4.17291i −0.0331479 0.442328i −0.988943 0.148295i \(-0.952622\pi\)
0.955795 0.294033i \(-0.0949975\pi\)
\(90\) −14.7003 1.87069i −1.54954 0.197188i
\(91\) −2.60489 + 10.0926i −0.273066 + 1.05799i
\(92\) −0.0821743 0.0253474i −0.00856726 0.00264265i
\(93\) 7.98338 0.690779i 0.827838 0.0716304i
\(94\) 4.60168 5.77033i 0.474627 0.595164i
\(95\) 3.51764 15.4118i 0.360902 1.58122i
\(96\) −0.524660 0.552553i −0.0535479 0.0563947i
\(97\) −6.82148 + 11.8152i −0.692617 + 1.19965i 0.278361 + 0.960477i \(0.410209\pi\)
−0.970978 + 0.239171i \(0.923124\pi\)
\(98\) −4.20976 + 9.17010i −0.425250 + 0.926320i
\(99\) 9.46209 + 4.29121i 0.950976 + 0.431283i
\(100\) 0.433510 + 0.295562i 0.0433510 + 0.0295562i
\(101\) 13.7618 4.24496i 1.36935 0.422389i 0.479062 0.877781i \(-0.340977\pi\)
0.890291 + 0.455392i \(0.150501\pi\)
\(102\) 5.08423 4.15119i 0.503414 0.411029i
\(103\) −12.0703 11.1996i −1.18932 1.10353i −0.992393 0.123113i \(-0.960712\pi\)
−0.196930 0.980417i \(-0.563097\pi\)
\(104\) −8.00184 + 7.42462i −0.784645 + 0.728044i
\(105\) −4.87829 + 14.9267i −0.476073 + 1.45669i
\(106\) −1.77404 1.64607i −0.172310 0.159880i
\(107\) −1.28810 17.1886i −0.124526 1.66168i −0.613733 0.789514i \(-0.710333\pi\)
0.489207 0.872167i \(-0.337286\pi\)
\(108\) −0.162744 + 0.370117i −0.0156600 + 0.0356146i
\(109\) −0.637481 + 8.50660i −0.0610596 + 0.814784i 0.879661 + 0.475602i \(0.157770\pi\)
−0.940720 + 0.339183i \(0.889849\pi\)
\(110\) −10.6660 13.3748i −1.01697 1.27524i
\(111\) 0.849642 2.87142i 0.0806444 0.272544i
\(112\) −9.24175 + 5.92642i −0.873263 + 0.559994i
\(113\) 0.138288 + 1.84532i 0.0130090 + 0.173593i 0.999924 + 0.0123502i \(0.00393130\pi\)
−0.986915 + 0.161243i \(0.948450\pi\)
\(114\) −10.0400 5.64350i −0.940333 0.528562i
\(115\) −1.38363 + 3.52543i −0.129024 + 0.328748i
\(116\) −0.141535 + 0.245146i −0.0131412 + 0.0227612i
\(117\) 10.7637 + 4.88152i 0.995105 + 0.451297i
\(118\) 12.0241 + 15.0777i 1.10691 + 1.38802i
\(119\) −3.30662 6.11932i −0.303118 0.560957i
\(120\) −12.7388 + 10.4010i −1.16289 + 0.949476i
\(121\) 0.363135 + 0.925253i 0.0330123 + 0.0841140i
\(122\) −4.17930 2.01265i −0.378376 0.182216i
\(123\) 5.52588 2.24250i 0.498252 0.202199i
\(124\) −0.224448 + 0.281449i −0.0201560 + 0.0252749i
\(125\) 3.72405 4.66981i 0.333089 0.417680i
\(126\) 9.41980 + 6.49381i 0.839182 + 0.578514i
\(127\) −4.38779 5.50212i −0.389353 0.488234i 0.548066 0.836435i \(-0.315364\pi\)
−0.937420 + 0.348201i \(0.886793\pi\)
\(128\) −11.9287 −1.05435
\(129\) −18.1225 3.91740i −1.59559 0.344908i
\(130\) −12.1333 15.2146i −1.06416 1.33441i
\(131\) 5.72948 + 1.76731i 0.500587 + 0.154411i 0.534758 0.845005i \(-0.320403\pi\)
−0.0341710 + 0.999416i \(0.510879\pi\)
\(132\) −0.432491 + 0.175513i −0.0376435 + 0.0152764i
\(133\) −7.87566 + 9.32404i −0.682906 + 0.808497i
\(134\) −1.84672 + 0.889333i −0.159532 + 0.0768266i
\(135\) 15.7189 + 8.36532i 1.35286 + 0.719972i
\(136\) 0.544349 7.26384i 0.0466776 0.622869i
\(137\) −4.33134 + 4.01890i −0.370051 + 0.343357i −0.843176 0.537638i \(-0.819317\pi\)
0.473124 + 0.880996i \(0.343126\pi\)
\(138\) 2.17695 + 1.69543i 0.185315 + 0.144325i
\(139\) −18.5009 + 5.70676i −1.56922 + 0.484041i −0.952857 0.303420i \(-0.901872\pi\)
−0.616365 + 0.787461i \(0.711395\pi\)
\(140\) −0.335376 0.620654i −0.0283444 0.0524548i
\(141\) −7.62870 + 4.52232i −0.642452 + 0.380848i
\(142\) −2.71642 + 11.9014i −0.227957 + 0.998744i
\(143\) 4.98466 + 12.7007i 0.416839 + 1.06209i
\(144\) 4.81360 + 11.4804i 0.401134 + 0.956699i
\(145\) 10.3003 + 7.02260i 0.855390 + 0.583195i
\(146\) 11.8093 20.4544i 0.977348 1.69282i
\(147\) 8.63696 8.50899i 0.712365 0.701810i
\(148\) 0.0672624 + 0.116502i 0.00552894 + 0.00957640i
\(149\) −0.0655029 + 0.874076i −0.00536621 + 0.0716071i −0.999244 0.0388784i \(-0.987622\pi\)
0.993878 + 0.110485i \(0.0352406\pi\)
\(150\) −9.64307 13.7997i −0.787353 1.12674i
\(151\) 5.10349 + 0.769227i 0.415316 + 0.0625988i 0.353377 0.935481i \(-0.385033\pi\)
0.0619392 + 0.998080i \(0.480272\pi\)
\(152\) −12.2139 + 3.76749i −0.990678 + 0.305584i
\(153\) −7.48095 + 2.49759i −0.604799 + 0.201918i
\(154\) 2.57494 + 12.9545i 0.207495 + 1.04390i
\(155\) 11.6217 + 10.7834i 0.933479 + 0.866142i
\(156\) −0.491985 + 0.199656i −0.0393904 + 0.0159853i
\(157\) 3.88277 + 17.0115i 0.309879 + 1.35767i 0.854703 + 0.519117i \(0.173739\pi\)
−0.544825 + 0.838550i \(0.683404\pi\)
\(158\) 1.58304 0.762354i 0.125940 0.0606496i
\(159\) 1.29179 + 2.60527i 0.102445 + 0.206611i
\(160\) 0.112657 1.50330i 0.00890629 0.118846i
\(161\) 2.19866 1.92764i 0.173279 0.151919i
\(162\) 9.09372 9.25240i 0.714470 0.726937i
\(163\) 13.9158 12.9120i 1.08997 1.01135i 0.0900900 0.995934i \(-0.471285\pi\)
0.999881 0.0154119i \(-0.00490594\pi\)
\(164\) −0.0978779 + 0.249389i −0.00764298 + 0.0194740i
\(165\) 6.28461 + 19.5714i 0.489256 + 1.52363i
\(166\) 11.5679 20.0363i 0.897847 1.55512i
\(167\) 4.59930 11.7188i 0.355905 0.906830i −0.635030 0.772487i \(-0.719012\pi\)
0.990935 0.134343i \(-0.0428923\pi\)
\(168\) 12.4243 2.61859i 0.958553 0.202029i
\(169\) 0.920929 + 2.34649i 0.0708407 + 0.180499i
\(170\) 12.8410 + 1.93546i 0.984857 + 0.148443i
\(171\) 8.87545 + 10.6184i 0.678722 + 0.812012i
\(172\) 0.688206 0.469211i 0.0524752 0.0357770i
\(173\) −11.7781 + 14.7693i −0.895476 + 1.12289i 0.0963572 + 0.995347i \(0.469281\pi\)
−0.991833 + 0.127544i \(0.959291\pi\)
\(174\) 7.03551 5.74437i 0.533360 0.435479i
\(175\) −16.2853 + 7.28452i −1.23105 + 0.550658i
\(176\) −5.25028 + 13.3775i −0.395755 + 1.00837i
\(177\) −7.08479 22.0633i −0.532525 1.65838i
\(178\) −3.01598 5.22383i −0.226057 0.391543i
\(179\) −4.54591 + 0.685186i −0.339778 + 0.0512132i −0.316715 0.948521i \(-0.602580\pi\)
−0.0230627 + 0.999734i \(0.507342\pi\)
\(180\) −0.758759 + 0.253319i −0.0565545 + 0.0188813i
\(181\) −8.06047 3.88172i −0.599130 0.288526i 0.109633 0.993972i \(-0.465032\pi\)
−0.708763 + 0.705446i \(0.750747\pi\)
\(182\) 2.92916 + 14.7365i 0.217124 + 1.09234i
\(183\) 3.83794 + 4.04197i 0.283708 + 0.298791i
\(184\) 3.02798 0.456395i 0.223226 0.0336459i
\(185\) 5.33779 2.57054i 0.392442 0.188990i
\(186\) 9.93608 5.89014i 0.728549 0.431886i
\(187\) −8.20303 3.95037i −0.599865 0.288880i
\(188\) 0.0886534 0.388416i 0.00646571 0.0283281i
\(189\) −7.81633 11.3095i −0.568554 0.822646i
\(190\) −5.07055 22.2155i −0.367856 1.61168i
\(191\) 4.95236 21.6977i 0.358340 1.56999i −0.398988 0.916956i \(-0.630639\pi\)
0.757328 0.653034i \(-0.226504\pi\)
\(192\) 12.4135 + 4.70774i 0.895865 + 0.339752i
\(193\) 4.93734 21.6319i 0.355398 1.55710i −0.409110 0.912485i \(-0.634161\pi\)
0.764508 0.644614i \(-0.222982\pi\)
\(194\) −1.46963 + 19.6108i −0.105513 + 1.40797i
\(195\) 7.14913 + 22.2636i 0.511960 + 1.59433i
\(196\) 0.0100345 + 0.544584i 0.000716753 + 0.0388988i
\(197\) 9.72731 0.693042 0.346521 0.938042i \(-0.387363\pi\)
0.346521 + 0.938042i \(0.387363\pi\)
\(198\) 14.9724 0.344793i 1.06404 0.0245034i
\(199\) 9.10889 + 8.45182i 0.645712 + 0.599134i 0.933507 0.358559i \(-0.116732\pi\)
−0.287795 + 0.957692i \(0.592922\pi\)
\(200\) −18.4746 2.78459i −1.30635 0.196900i
\(201\) 2.45374 0.212315i 0.173074 0.0149756i
\(202\) 15.2177 14.1200i 1.07072 0.993479i
\(203\) −4.57567 8.46785i −0.321149 0.594326i
\(204\) 0.150044 0.320971i 0.0105052 0.0224725i
\(205\) 10.6303 + 5.11928i 0.742452 + 0.357546i
\(206\) −22.6804 6.99597i −1.58022 0.487433i
\(207\) −1.72343 2.83241i −0.119787 0.196866i
\(208\) −5.97252 + 15.2177i −0.414120 + 1.05516i
\(209\) −1.19390 + 15.9315i −0.0825838 + 1.10200i
\(210\) 3.00003 + 22.4364i 0.207022 + 1.54826i
\(211\) −0.346017 4.61727i −0.0238208 0.317866i −0.996367 0.0851582i \(-0.972860\pi\)
0.972547 0.232708i \(-0.0747586\pi\)
\(212\) −0.124833 0.0385059i −0.00857357 0.00264459i
\(213\) 8.12295 12.2139i 0.556575 0.836886i
\(214\) −12.4231 21.5174i −0.849223 1.47090i
\(215\) −18.3414 31.7682i −1.25087 2.16658i
\(216\) −0.497138 14.3887i −0.0338260 0.979028i
\(217\) −4.14900 11.5158i −0.281653 0.781741i
\(218\) 4.49235 + 11.4463i 0.304260 + 0.775242i
\(219\) −21.9833 + 17.9489i −1.48549 + 1.21288i
\(220\) −0.831995 0.400668i −0.0560931 0.0270130i
\(221\) −9.33145 4.49379i −0.627701 0.302285i
\(222\) −0.692426 4.26054i −0.0464726 0.285949i
\(223\) −6.73223 17.1534i −0.450823 1.14868i −0.957983 0.286827i \(-0.907400\pi\)
0.507159 0.861852i \(-0.330696\pi\)
\(224\) −0.610135 + 0.991176i −0.0407663 + 0.0662258i
\(225\) 4.95423 + 19.6129i 0.330282 + 1.30753i
\(226\) 1.33371 + 2.31005i 0.0887171 + 0.153663i
\(227\) 12.8515 + 22.2594i 0.852984 + 1.47741i 0.878503 + 0.477737i \(0.158543\pi\)
−0.0255189 + 0.999674i \(0.508124\pi\)
\(228\) −0.620471 0.0393206i −0.0410917 0.00260407i
\(229\) 8.52305 + 2.62901i 0.563219 + 0.173730i 0.563274 0.826270i \(-0.309541\pi\)
−5.51578e−5 1.00000i \(0.500018\pi\)
\(230\) 0.407962 + 5.44388i 0.0269002 + 0.358959i
\(231\) 2.62673 15.6516i 0.172826 1.02980i
\(232\) 0.753265 10.0516i 0.0494543 0.659921i
\(233\) −3.06937 + 7.82061i −0.201081 + 0.512346i −0.995471 0.0950618i \(-0.969695\pi\)
0.794391 + 0.607407i \(0.207790\pi\)
\(234\) 17.0320 0.392223i 1.11342 0.0256404i
\(235\) −16.7663 5.17172i −1.09371 0.337366i
\(236\) 0.937928 + 0.451682i 0.0610539 + 0.0294020i
\(237\) −2.10340 + 0.182001i −0.136630 + 0.0118222i
\(238\) −8.12154 5.87918i −0.526441 0.381090i
\(239\) 17.0193 15.7916i 1.10089 1.02147i 0.101240 0.994862i \(-0.467719\pi\)
0.999646 0.0266111i \(-0.00847159\pi\)
\(240\) −10.4301 + 22.3118i −0.673261 + 1.44022i
\(241\) 19.1353 + 2.88418i 1.23261 + 0.185786i 0.732858 0.680381i \(-0.238186\pi\)
0.499754 + 0.866168i \(0.333424\pi\)
\(242\) 1.05029 + 0.974523i 0.0675150 + 0.0626447i
\(243\) −14.1592 + 6.52048i −0.908314 + 0.418289i
\(244\) −0.250398 −0.0160301
\(245\) 23.9495 + 1.35161i 1.53008 + 0.0863510i
\(246\) 5.77401 6.36840i 0.368138 0.406034i
\(247\) −1.35814 + 18.1231i −0.0864161 + 1.15314i
\(248\) 2.85244 12.4973i 0.181130 0.793582i
\(249\) −21.5339 + 17.5820i −1.36465 + 1.11422i
\(250\) 1.91584 8.39385i 0.121169 0.530874i
\(251\) 3.07504 + 13.4726i 0.194095 + 0.850385i 0.974371 + 0.224949i \(0.0722215\pi\)
−0.780276 + 0.625436i \(0.784921\pi\)
\(252\) 0.610223 + 0.0952012i 0.0384404 + 0.00599711i
\(253\) 0.851695 3.73152i 0.0535456 0.234599i
\(254\) −9.13965 4.40142i −0.573472 0.276170i
\(255\) −13.6023 7.64587i −0.851809 0.478803i
\(256\) −1.68001 + 0.809050i −0.105001 + 0.0505656i
\(257\) −7.68413 + 1.15820i −0.479323 + 0.0722463i −0.384260 0.923225i \(-0.625543\pi\)
−0.0950629 + 0.995471i \(0.530305\pi\)
\(258\) −25.9859 + 6.24669i −1.61781 + 0.388902i
\(259\) −4.57234 0.128919i −0.284111 0.00801063i
\(260\) −0.946446 0.455784i −0.0586961 0.0282665i
\(261\) −10.3521 + 3.45613i −0.640777 + 0.213929i
\(262\) 8.54626 1.28814i 0.527990 0.0795817i
\(263\) 4.22955 + 7.32579i 0.260805 + 0.451728i 0.966456 0.256832i \(-0.0826787\pi\)
−0.705651 + 0.708560i \(0.749345\pi\)
\(264\) 11.1637 12.3129i 0.687080 0.757809i
\(265\) −2.10191 + 5.35557i −0.129119 + 0.328990i
\(266\) −4.39670 + 17.0349i −0.269579 + 1.04448i
\(267\) 1.16269 + 7.15410i 0.0711553 + 0.437824i
\(268\) −0.0689854 + 0.0865050i −0.00421396 + 0.00528413i
\(269\) −8.82724 + 6.01831i −0.538206 + 0.366943i −0.801708 0.597716i \(-0.796075\pi\)
0.263502 + 0.964659i \(0.415123\pi\)
\(270\) 25.6462 + 1.03315i 1.56078 + 0.0628755i
\(271\) 30.3768 + 4.57857i 1.84526 + 0.278128i 0.976247 0.216661i \(-0.0695165\pi\)
0.869013 + 0.494789i \(0.164755\pi\)
\(272\) −3.98551 10.1549i −0.241657 0.615733i
\(273\) 2.98807 17.8047i 0.180846 1.07759i
\(274\) −3.11164 + 7.92832i −0.187981 + 0.478968i
\(275\) −11.6763 + 20.2239i −0.704106 + 1.21955i
\(276\) 0.145585 + 0.0314700i 0.00876318 + 0.00189427i
\(277\) 3.85704 9.82757i 0.231747 0.590481i −0.766940 0.641719i \(-0.778221\pi\)
0.998686 + 0.0512379i \(0.0163167\pi\)
\(278\) −20.4581 + 18.9824i −1.22700 + 1.13849i
\(279\) −13.6730 + 2.38402i −0.818582 + 0.142728i
\(280\) 20.3489 + 14.7306i 1.21608 + 0.880319i
\(281\) 0.451675 6.02718i 0.0269447 0.359551i −0.967393 0.253281i \(-0.918490\pi\)
0.994337 0.106270i \(-0.0338908\pi\)
\(282\) −7.07910 + 10.6444i −0.421554 + 0.633864i
\(283\) 26.3328 12.6812i 1.56532 0.753818i 0.567731 0.823214i \(-0.307821\pi\)
0.997589 + 0.0693958i \(0.0221071\pi\)
\(284\) 0.146634 + 0.642445i 0.00870111 + 0.0381221i
\(285\) −3.76890 + 27.1199i −0.223250 + 1.60644i
\(286\) 14.4170 + 13.3770i 0.852496 + 0.791000i
\(287\) −5.47670 7.27935i −0.323279 0.429686i
\(288\) 0.987858 + 0.875150i 0.0582101 + 0.0515687i
\(289\) −9.64039 + 2.97367i −0.567082 + 0.174922i
\(290\) 17.7692 + 2.67827i 1.04344 + 0.157274i
\(291\) 10.0070 21.4068i 0.586623 1.25489i
\(292\) 0.0952771 1.27138i 0.00557567 0.0744021i
\(293\) −8.94320 15.4901i −0.522467 0.904940i −0.999658 0.0261401i \(-0.991678\pi\)
0.477191 0.878800i \(-0.341655\pi\)
\(294\) 5.89518 16.4525i 0.343814 0.959530i
\(295\) 22.9234 39.7045i 1.33465 2.31168i
\(296\) −3.95792 2.69846i −0.230049 0.156845i
\(297\) −16.9685 5.99213i −0.984614 0.347699i
\(298\) 0.461601 + 1.17614i 0.0267398 + 0.0681320i
\(299\) 0.968855 4.24483i 0.0560303 0.245485i
\(300\) −0.792196 0.445295i −0.0457375 0.0257091i
\(301\) 1.31966 + 28.2911i 0.0760639 + 1.63067i
\(302\) 7.10905 2.19285i 0.409080 0.126184i
\(303\) −23.1136 + 9.37992i −1.32784 + 0.538862i
\(304\) −14.0323 + 13.0201i −0.804808 + 0.746752i
\(305\) −0.824093 + 10.9968i −0.0471874 + 0.629672i
\(306\) −8.15355 + 7.92243i −0.466107 + 0.452895i
\(307\) −7.41762 + 3.57214i −0.423346 + 0.203873i −0.633412 0.773814i \(-0.718346\pi\)
0.210066 + 0.977687i \(0.432632\pi\)
\(308\) 0.428642 + 0.569729i 0.0244241 + 0.0324633i
\(309\) 22.5008 + 17.5238i 1.28003 + 0.996897i
\(310\) 21.8375 + 6.73597i 1.24029 + 0.382577i
\(311\) 1.77533 + 2.22619i 0.100670 + 0.126236i 0.829614 0.558337i \(-0.188560\pi\)
−0.728945 + 0.684573i \(0.759989\pi\)
\(312\) 12.6994 14.0067i 0.718963 0.792974i
\(313\) −2.38111 −0.134588 −0.0672942 0.997733i \(-0.521437\pi\)
−0.0672942 + 0.997733i \(0.521437\pi\)
\(314\) 15.6821 + 19.6647i 0.884989 + 1.10974i
\(315\) 6.18928 26.4859i 0.348726 1.49231i
\(316\) 0.0591357 0.0741538i 0.00332664 0.00417148i
\(317\) 7.63443 9.57327i 0.428792 0.537689i −0.519759 0.854313i \(-0.673978\pi\)
0.948551 + 0.316625i \(0.102550\pi\)
\(318\) 3.30706 + 2.57557i 0.185451 + 0.144431i
\(319\) −11.3513 5.46648i −0.635549 0.306064i
\(320\) 9.59623 + 24.4508i 0.536446 + 1.36684i
\(321\) 4.78921 + 29.4683i 0.267307 + 1.64476i
\(322\) 1.64983 3.87855i 0.0919416 0.216143i
\(323\) −7.56143 9.48173i −0.420729 0.527577i
\(324\) 0.225568 0.662975i 0.0125316 0.0368320i
\(325\) −13.2825 + 23.0059i −0.736779 + 1.27614i
\(326\) 9.99714 25.4723i 0.553690 1.41078i
\(327\) −0.170092 14.7742i −0.00940611 0.817015i
\(328\) −0.712920 9.51325i −0.0393644 0.525281i
\(329\) 9.66679 + 9.49031i 0.532948 + 0.523218i
\(330\) 20.4024 + 21.4870i 1.12311 + 1.18282i
\(331\) 15.3819 + 19.2883i 0.845468 + 1.06018i 0.997419 + 0.0717950i \(0.0228728\pi\)
−0.151952 + 0.988388i \(0.548556\pi\)
\(332\) 0.0933295 1.24540i 0.00512212 0.0683500i
\(333\) −1.03741 + 5.08180i −0.0568496 + 0.278481i
\(334\) −1.35610 18.0959i −0.0742025 0.990164i
\(335\) 3.57201 + 3.31434i 0.195159 + 0.181082i
\(336\) 15.0627 11.6065i 0.821738 0.633189i
\(337\) −0.511624 + 0.474718i −0.0278699 + 0.0258595i −0.693985 0.719990i \(-0.744147\pi\)
0.666115 + 0.745849i \(0.267956\pi\)
\(338\) 2.66358 + 2.47144i 0.144879 + 0.134429i
\(339\) −0.514158 3.16365i −0.0279252 0.171826i
\(340\) 0.669848 0.206621i 0.0363276 0.0112056i
\(341\) −13.2383 9.02574i −0.716896 0.488771i
\(342\) 18.1677 + 8.23935i 0.982397 + 0.445533i
\(343\) −15.9478 9.41629i −0.861102 0.508432i
\(344\) −14.8300 + 25.6864i −0.799582 + 1.38492i
\(345\) 1.86121 6.29009i 0.100204 0.338647i
\(346\) −6.05928 + 26.5475i −0.325749 + 1.42720i
\(347\) 1.00261 1.25723i 0.0538228 0.0674916i −0.754191 0.656655i \(-0.771971\pi\)
0.808014 + 0.589163i \(0.200542\pi\)
\(348\) 0.207630 0.444157i 0.0111301 0.0238093i
\(349\) −13.5633 4.18372i −0.726027 0.223950i −0.0903556 0.995910i \(-0.528800\pi\)
−0.635671 + 0.771960i \(0.719277\pi\)
\(350\) −16.5940 + 19.6458i −0.886987 + 1.05011i
\(351\) −19.3028 6.81642i −1.03030 0.363834i
\(352\) 0.113854 + 1.51928i 0.00606844 + 0.0809777i
\(353\) 0.165424 0.153491i 0.00880465 0.00816952i −0.675758 0.737123i \(-0.736184\pi\)
0.684563 + 0.728954i \(0.259993\pi\)
\(354\) −23.0001 24.2228i −1.22244 1.28743i
\(355\) 28.6969 4.32536i 1.52307 0.229566i
\(356\) −0.269030 0.183422i −0.0142586 0.00972133i
\(357\) 6.61961 + 10.0658i 0.350347 + 0.532738i
\(358\) −5.47530 + 3.73300i −0.289379 + 0.197295i
\(359\) −24.5589 + 22.7873i −1.29617 + 1.20267i −0.330229 + 0.943901i \(0.607126\pi\)
−0.965939 + 0.258768i \(0.916683\pi\)
\(360\) 20.4291 19.8500i 1.07671 1.04619i
\(361\) −1.14027 + 1.97500i −0.0600142 + 0.103948i
\(362\) −12.8960 −0.677796
\(363\) −0.764778 1.54240i −0.0401404 0.0809550i
\(364\) 0.487606 + 0.648101i 0.0255575 + 0.0339697i
\(365\) −55.5219 8.36858i −2.90615 0.438031i
\(366\) 7.51233 + 2.84901i 0.392676 + 0.148920i
\(367\) −0.904498 12.0697i −0.0472144 0.630033i −0.969747 0.244113i \(-0.921503\pi\)
0.922532 0.385920i \(-0.126116\pi\)
\(368\) 3.78914 2.58339i 0.197522 0.134668i
\(369\) −9.20065 + 4.69474i −0.478967 + 0.244399i
\(370\) 5.32456 6.67679i 0.276811 0.347110i
\(371\) 3.34004 2.92833i 0.173406 0.152031i
\(372\) 0.345285 0.519182i 0.0179022 0.0269183i
\(373\) 4.57327 7.92113i 0.236795 0.410140i −0.722998 0.690850i \(-0.757236\pi\)
0.959793 + 0.280710i \(0.0905698\pi\)
\(374\) −13.1240 −0.678628
\(375\) −5.72897 + 8.61428i −0.295843 + 0.444839i
\(376\) 3.15685 + 13.8311i 0.162802 + 0.713283i
\(377\) −12.9128 6.21846i −0.665041 0.320267i
\(378\) −17.2244 9.79925i −0.885929 0.504019i
\(379\) 18.8298 9.06795i 0.967221 0.465789i 0.117530 0.993069i \(-0.462502\pi\)
0.849691 + 0.527280i \(0.176788\pi\)
\(380\) −0.766920 0.961688i −0.0393422 0.0493335i
\(381\) 8.39311 + 8.83932i 0.429992 + 0.452852i
\(382\) −7.13863 31.2764i −0.365244 1.60024i
\(383\) −9.07303 + 6.18589i −0.463610 + 0.316084i −0.772501 0.635013i \(-0.780995\pi\)
0.308891 + 0.951097i \(0.400042\pi\)
\(384\) 20.5841 1.78108i 1.05043 0.0908905i
\(385\) 26.4315 16.9496i 1.34708 0.863833i
\(386\) −7.11699 31.1816i −0.362245 1.58710i
\(387\) 31.8571 + 4.05399i 1.61939 + 0.206076i
\(388\) 0.387835 + 0.988189i 0.0196894 + 0.0501677i
\(389\) 24.1713 7.45585i 1.22553 0.378027i 0.386592 0.922251i \(-0.373652\pi\)
0.838940 + 0.544224i \(0.183176\pi\)
\(390\) 23.2089 + 24.4428i 1.17523 + 1.23771i
\(391\) 1.45273 + 2.51620i 0.0734677 + 0.127250i
\(392\) −8.73582 17.3166i −0.441226 0.874620i
\(393\) −10.1507 2.19420i −0.512034 0.110683i
\(394\) 12.6330 6.08372i 0.636440 0.306493i
\(395\) −3.06199 2.84111i −0.154066 0.142952i
\(396\) 0.720102 0.367441i 0.0361865 0.0184646i
\(397\) 5.17560 1.59646i 0.259756 0.0801241i −0.162142 0.986767i \(-0.551840\pi\)
0.421898 + 0.906643i \(0.361364\pi\)
\(398\) 17.1158 + 5.27953i 0.857939 + 0.264639i
\(399\) 12.1981 17.2655i 0.610667 0.864357i
\(400\) −26.7374 + 8.24740i −1.33687 + 0.412370i
\(401\) −23.7345 + 16.1819i −1.18524 + 0.808086i −0.985151 0.171691i \(-0.945077\pi\)
−0.200094 + 0.979777i \(0.564125\pi\)
\(402\) 3.05392 1.81037i 0.152315 0.0902931i
\(403\) −15.0594 10.2673i −0.750163 0.511452i
\(404\) 0.409403 1.04314i 0.0203686 0.0518982i
\(405\) −28.3735 12.0882i −1.40989 0.600668i
\(406\) −11.2385 8.13554i −0.557757 0.403760i
\(407\) −4.94708 + 3.37286i −0.245218 + 0.167187i
\(408\) 0.145243 + 12.6158i 0.00719058 + 0.624574i
\(409\) 12.3413 + 15.4755i 0.610239 + 0.765215i 0.986934 0.161122i \(-0.0515113\pi\)
−0.376696 + 0.926337i \(0.622940\pi\)
\(410\) 17.0074 0.839937
\(411\) 6.87411 7.58174i 0.339075 0.373980i
\(412\) −1.26691 + 0.190956i −0.0624162 + 0.00940773i
\(413\) −29.7969 + 19.1077i −1.46621 + 0.940230i
\(414\) −4.00970 2.60060i −0.197066 0.127813i
\(415\) −54.3869 8.19751i −2.66975 0.402400i
\(416\) 0.129516 + 1.72827i 0.00635004 + 0.0847355i
\(417\) 31.0730 12.6100i 1.52165 0.617514i
\(418\) 8.41345 + 21.4371i 0.411515 + 1.04852i
\(419\) −19.6385 2.96003i −0.959406 0.144607i −0.349373 0.936984i \(-0.613605\pi\)
−0.610032 + 0.792376i \(0.708844\pi\)
\(420\) 0.671396 + 1.02093i 0.0327608 + 0.0498161i
\(421\) 16.3968 2.47142i 0.799132 0.120450i 0.263234 0.964732i \(-0.415211\pi\)
0.535899 + 0.844282i \(0.319973\pi\)
\(422\) −3.33714 5.78010i −0.162449 0.281371i
\(423\) 12.4889 8.94278i 0.607230 0.434813i
\(424\) 4.59988 0.693320i 0.223390 0.0336706i
\(425\) −3.94463 17.2826i −0.191343 0.838328i
\(426\) 2.91045 20.9427i 0.141012 1.01468i
\(427\) 4.46319 7.25054i 0.215989 0.350878i
\(428\) −1.10816 0.755529i −0.0535648 0.0365199i
\(429\) −10.4979 21.1721i −0.506844 1.02220i
\(430\) −43.6889 29.7866i −2.10687 1.43644i
\(431\) 1.81295 + 0.559220i 0.0873265 + 0.0269367i 0.338111 0.941106i \(-0.390212\pi\)
−0.250784 + 0.968043i \(0.580688\pi\)
\(432\) −10.0205 19.0919i −0.482113 0.918558i
\(433\) −0.986176 + 4.32072i −0.0473926 + 0.207641i −0.993081 0.117435i \(-0.962533\pi\)
0.945688 + 0.325076i \(0.105390\pi\)
\(434\) −12.5906 12.3608i −0.604369 0.593336i
\(435\) −18.8227 10.5803i −0.902480 0.507285i
\(436\) 0.486572 + 0.451473i 0.0233026 + 0.0216216i
\(437\) 3.17872 3.98599i 0.152059 0.190676i
\(438\) −17.3242 + 37.0594i −0.827781 + 1.77077i
\(439\) −21.0994 + 10.1610i −1.00702 + 0.484956i −0.863316 0.504665i \(-0.831616\pi\)
−0.143706 + 0.989620i \(0.545902\pi\)
\(440\) 32.8829 1.56763
\(441\) −13.6335 + 15.9727i −0.649213 + 0.760606i
\(442\) −14.9294 −0.710119
\(443\) −7.72014 + 3.71782i −0.366795 + 0.176639i −0.608197 0.793786i \(-0.708107\pi\)
0.241402 + 0.970425i \(0.422393\pi\)
\(444\) −0.133463 0.190993i −0.00633389 0.00906413i
\(445\) −8.94075 + 11.2113i −0.423832 + 0.531469i
\(446\) −19.4714 18.0669i −0.921999 0.855490i
\(447\) −0.0174774 1.51809i −0.000826654 0.0718031i
\(448\) 2.08487 20.1723i 0.0985009 0.953050i
\(449\) 2.13104 9.33668i 0.100570 0.440625i −0.899424 0.437077i \(-0.856014\pi\)
0.999994 0.00354766i \(-0.00112926\pi\)
\(450\) 18.7006 + 22.3731i 0.881553 + 1.05468i
\(451\) −11.3944 3.51470i −0.536541 0.165501i
\(452\) 0.118969 + 0.0811118i 0.00559584 + 0.00381518i
\(453\) −8.92144 0.565371i −0.419166 0.0265635i
\(454\) 30.6120 + 20.8709i 1.43669 + 0.979522i
\(455\) 30.0675 19.2812i 1.40959 0.903919i
\(456\) 20.5138 8.32486i 0.960647 0.389847i
\(457\) −5.12825 22.4684i −0.239890 1.05103i −0.941115 0.338086i \(-0.890221\pi\)
0.701226 0.712939i \(-0.252637\pi\)
\(458\) 12.7132 1.91621i 0.594051 0.0895388i
\(459\) 12.5362 5.42683i 0.585141 0.253303i
\(460\) 0.147344 + 0.255207i 0.00686994 + 0.0118991i
\(461\) −21.7566 + 3.27928i −1.01331 + 0.152731i −0.634644 0.772804i \(-0.718853\pi\)
−0.378661 + 0.925536i \(0.623615\pi\)
\(462\) −6.37758 21.9698i −0.296712 1.02213i
\(463\) −24.2373 3.65319i −1.12640 0.169778i −0.440697 0.897656i \(-0.645269\pi\)
−0.685707 + 0.727878i \(0.740507\pi\)
\(464\) −5.51511 14.0523i −0.256033 0.652361i
\(465\) −21.6646 16.8726i −1.00467 0.782447i
\(466\) 0.905000 + 12.0764i 0.0419233 + 0.559428i
\(467\) −0.728376 0.109785i −0.0337052 0.00508024i 0.132168 0.991227i \(-0.457806\pi\)
−0.165873 + 0.986147i \(0.553044\pi\)
\(468\) 0.819161 0.417987i 0.0378657 0.0193214i
\(469\) −1.27522 3.53944i −0.0588842 0.163436i
\(470\) −25.0091 + 3.76952i −1.15359 + 0.173875i
\(471\) −9.24013 28.7754i −0.425763 1.32590i
\(472\) −37.0697 −1.70627
\(473\) 23.1145 + 28.9846i 1.06280 + 1.33271i
\(474\) −2.61788 + 1.55189i −0.120243 + 0.0712805i
\(475\) −25.7010 + 17.5226i −1.17924 + 0.803994i
\(476\) −0.532687 0.0957157i −0.0244157 0.00438712i
\(477\) −2.61811 4.30278i −0.119875 0.197011i
\(478\) 12.2267 31.1530i 0.559235 1.42491i
\(479\) −21.6468 14.7585i −0.989067 0.674334i −0.0432600 0.999064i \(-0.513774\pi\)
−0.945807 + 0.324729i \(0.894727\pi\)
\(480\) 0.0300589 + 2.61092i 0.00137200 + 0.119172i
\(481\) −5.62761 + 3.83684i −0.256597 + 0.174945i
\(482\) 26.6551 8.22200i 1.21410 0.374502i
\(483\) −3.50620 + 3.65463i −0.159538 + 0.166291i
\(484\) 0.0739050 + 0.0227967i 0.00335932 + 0.00103621i
\(485\) 44.6747 13.7803i 2.02858 0.625733i
\(486\) −14.3107 + 17.3238i −0.649145 + 0.785822i
\(487\) 13.0119 + 12.0733i 0.589627 + 0.547094i 0.917555 0.397609i \(-0.130160\pi\)
−0.327928 + 0.944703i \(0.606350\pi\)
\(488\) 8.03341 3.86869i 0.363656 0.175127i
\(489\) −22.0853 + 24.3588i −0.998731 + 1.10154i
\(490\) 31.9489 13.2233i 1.44330 0.597369i
\(491\) 11.5864 + 20.0682i 0.522886 + 0.905665i 0.999645 + 0.0266314i \(0.00847805\pi\)
−0.476759 + 0.879034i \(0.658189\pi\)
\(492\) 0.131662 0.444960i 0.00593577 0.0200604i
\(493\) 9.13903 2.81902i 0.411601 0.126962i
\(494\) 9.57082 + 24.3860i 0.430611 + 1.09718i
\(495\) −13.7670 32.8341i −0.618779 1.47578i
\(496\) −4.27189 18.7164i −0.191813 0.840389i
\(497\) −21.2163 7.20523i −0.951681 0.323199i
\(498\) −16.9700 + 36.3019i −0.760446 + 1.62673i
\(499\) −5.19581 + 3.54245i −0.232597 + 0.158582i −0.674010 0.738722i \(-0.735430\pi\)
0.441414 + 0.897304i \(0.354477\pi\)
\(500\) −0.103418 0.453105i −0.00462500 0.0202635i
\(501\) −6.18681 + 20.9088i −0.276406 + 0.934135i
\(502\) 12.4197 + 15.5738i 0.554320 + 0.695095i
\(503\) 39.1127 18.8357i 1.74395 0.839842i 0.762789 0.646647i \(-0.223829\pi\)
0.981160 0.193195i \(-0.0618849\pi\)
\(504\) −21.0484 + 6.37373i −0.937569 + 0.283909i
\(505\) −44.4643 21.4129i −1.97864 0.952861i
\(506\) −1.22769 5.37884i −0.0545773 0.239119i
\(507\) −1.93951 3.91160i −0.0861369 0.173720i
\(508\) −0.547592 −0.0242954
\(509\) 17.3473 30.0465i 0.768907 1.33179i −0.169249 0.985573i \(-0.554134\pi\)
0.938156 0.346213i \(-0.112532\pi\)
\(510\) −22.4474 1.42254i −0.993987 0.0629911i
\(511\) 35.1160 + 25.4204i 1.55344 + 1.12453i
\(512\) 13.1989 16.5509i 0.583316 0.731455i
\(513\) −16.9010 16.9980i −0.746195 0.750480i
\(514\) −9.25510 + 6.31002i −0.408225 + 0.278323i
\(515\) 4.21666 + 56.2674i 0.185808 + 2.47944i
\(516\) −1.11751 + 0.912429i −0.0491957 + 0.0401675i
\(517\) 17.5343 + 2.64287i 0.771156 + 0.116233i
\(518\) −6.01878 + 2.69224i −0.264450 + 0.118290i
\(519\) 18.1192 27.2446i 0.795343 1.19591i
\(520\) 37.4063 1.64037
\(521\) −1.70305 + 2.94978i −0.0746121 + 0.129232i −0.900918 0.433990i \(-0.857105\pi\)
0.826305 + 0.563222i \(0.190439\pi\)
\(522\) −11.2828 + 10.9630i −0.493834 + 0.479837i
\(523\) 22.6960 21.0588i 0.992425 0.920835i −0.00443771 0.999990i \(-0.501413\pi\)
0.996862 + 0.0791547i \(0.0252221\pi\)
\(524\) 0.385476 0.262813i 0.0168396 0.0114810i
\(525\) 27.0143 15.0018i 1.17900 0.654731i
\(526\) 10.0747 + 6.86882i 0.439278 + 0.299495i
\(527\) 12.0268 1.81275i 0.523897 0.0789648i
\(528\) 7.06249 23.8682i 0.307355 1.03873i
\(529\) 15.9648 14.8132i 0.694123 0.644052i
\(530\) 0.619746 + 8.26993i 0.0269200 + 0.359223i
\(531\) 15.5198 + 37.0146i 0.673504 + 1.60630i
\(532\) 0.185146 + 0.931465i 0.00802711 + 0.0403841i
\(533\) −12.9618 3.99819i −0.561439 0.173181i
\(534\) 5.98436 + 8.56393i 0.258969 + 0.370598i
\(535\) −36.8277 + 46.1805i −1.59220 + 1.99656i
\(536\) 0.876714 3.84113i 0.0378683 0.165912i
\(537\) 7.74214 1.86112i 0.334098 0.0803131i
\(538\) −7.70003 + 13.3368i −0.331972 + 0.574992i
\(539\) −24.1373 + 2.25672i −1.03967 + 0.0972037i
\(540\) 1.27149 0.550419i 0.0547163 0.0236862i
\(541\) 12.4470 + 8.48619i 0.535136 + 0.364850i 0.800532 0.599290i \(-0.204550\pi\)
−0.265396 + 0.964140i \(0.585503\pi\)
\(542\) 42.3143 13.0522i 1.81755 0.560641i
\(543\) 14.4888 + 5.49478i 0.621772 + 0.235804i
\(544\) −0.847792 0.786636i −0.0363488 0.0337268i
\(545\) 21.4287 19.8829i 0.917905 0.851692i
\(546\) −7.25489 24.9920i −0.310481 1.06956i
\(547\) 24.6950 + 22.9136i 1.05588 + 0.979717i 0.999825 0.0187109i \(-0.00595622\pi\)
0.0560584 + 0.998427i \(0.482147\pi\)
\(548\) 0.0343576 + 0.458471i 0.00146769 + 0.0195849i
\(549\) −7.22627 6.40180i −0.308410 0.273222i
\(550\) −2.51555 + 33.5677i −0.107263 + 1.43133i
\(551\) −10.4634 13.1207i −0.445757 0.558961i
\(552\) −5.15695 + 1.23967i −0.219494 + 0.0527638i
\(553\) 1.09314 + 3.03408i 0.0464852 + 0.129022i
\(554\) −1.13724 15.1755i −0.0483169 0.644744i
\(555\) −8.82710 + 5.23273i −0.374689 + 0.222117i
\(556\) −0.550385 + 1.40236i −0.0233415 + 0.0594732i
\(557\) −7.46047 + 12.9219i −0.316110 + 0.547519i −0.979673 0.200602i \(-0.935710\pi\)
0.663563 + 0.748121i \(0.269044\pi\)
\(558\) −16.2663 + 11.6476i −0.688606 + 0.493083i
\(559\) 26.2941 + 32.9718i 1.11212 + 1.39456i
\(560\) 37.0289 + 6.65353i 1.56476 + 0.281163i
\(561\) 14.7450 + 5.59196i 0.622535 + 0.236093i
\(562\) −3.18296 8.11006i −0.134265 0.342102i
\(563\) 20.7661 + 10.0004i 0.875189 + 0.421469i 0.816865 0.576829i \(-0.195710\pi\)
0.0583238 + 0.998298i \(0.481424\pi\)
\(564\) −0.0949857 + 0.683489i −0.00399962 + 0.0287801i
\(565\) 3.95373 4.95783i 0.166335 0.208577i
\(566\) 26.2675 32.9384i 1.10411 1.38451i
\(567\) 15.1765 + 18.3487i 0.637354 + 0.770571i
\(568\) −14.6302 18.3457i −0.613871 0.769770i
\(569\) −46.5999 −1.95357 −0.976786 0.214219i \(-0.931279\pi\)
−0.976786 + 0.214219i \(0.931279\pi\)
\(570\) 12.0668 + 37.5781i 0.505422 + 1.57397i
\(571\) 1.14009 + 1.42962i 0.0477111 + 0.0598279i 0.805115 0.593119i \(-0.202104\pi\)
−0.757403 + 0.652947i \(0.773532\pi\)
\(572\) 1.01448 + 0.312924i 0.0424173 + 0.0130840i
\(573\) −5.30609 + 38.1811i −0.221665 + 1.59504i
\(574\) −11.6654 6.02850i −0.486902 0.251625i
\(575\) 6.71420 3.23339i 0.280002 0.134842i
\(576\) −22.1236 6.27022i −0.921819 0.261259i
\(577\) 0.562936 7.51186i 0.0234353 0.312723i −0.973151 0.230167i \(-0.926073\pi\)
0.996586 0.0825557i \(-0.0263082\pi\)
\(578\) −10.6603 + 9.89130i −0.443409 + 0.411424i
\(579\) −5.29000 + 38.0653i −0.219845 + 1.58194i
\(580\) 0.926929 0.285920i 0.0384886 0.0118722i
\(581\) 34.3982 + 24.9008i 1.42708 + 1.03306i
\(582\) −0.392124 34.0599i −0.0162541 1.41183i
\(583\) 1.29383 5.66864i 0.0535850 0.234771i
\(584\) 16.5863 + 42.2613i 0.686347 + 1.74878i
\(585\) −15.6608 37.3508i −0.647493 1.54426i
\(586\) −21.3025 14.5238i −0.880000 0.599974i
\(587\) 5.61817 9.73095i 0.231887 0.401639i −0.726477 0.687191i \(-0.758843\pi\)
0.958363 + 0.285552i \(0.0921768\pi\)
\(588\) −0.0986282 0.938237i −0.00406736 0.0386922i
\(589\) −10.6711 18.4828i −0.439693 0.761571i
\(590\) 4.93864 65.9016i 0.203321 2.71313i
\(591\) −16.7855 + 1.45240i −0.690462 + 0.0597437i
\(592\) −7.09393 1.06924i −0.291559 0.0439454i
\(593\) 32.4451 10.0080i 1.33236 0.410979i 0.454864 0.890561i \(-0.349688\pi\)
0.877497 + 0.479582i \(0.159212\pi\)
\(594\) −25.7849 + 2.83052i −1.05797 + 0.116138i
\(595\) −5.95669 + 23.0790i −0.244201 + 0.946148i
\(596\) 0.0499966 + 0.0463900i 0.00204794 + 0.00190021i
\(597\) −16.9803 13.2244i −0.694957 0.541240i
\(598\) −1.39657 6.11876i −0.0571099 0.250215i
\(599\) −41.1080 + 19.7966i −1.67963 + 0.808866i −0.682686 + 0.730712i \(0.739188\pi\)
−0.996941 + 0.0781536i \(0.975098\pi\)
\(600\) 32.2955 + 2.04664i 1.31846 + 0.0835536i
\(601\) 2.13405 28.4770i 0.0870498 1.16160i −0.767084 0.641546i \(-0.778293\pi\)
0.854134 0.520053i \(-0.174088\pi\)
\(602\) 19.4079 + 35.9167i 0.791006 + 1.46385i
\(603\) −4.20248 + 0.732743i −0.171138 + 0.0298396i
\(604\) 0.294388 0.273152i 0.0119785 0.0111144i
\(605\) 1.24439 3.17066i 0.0505918 0.128906i
\(606\) −24.1515 + 26.6377i −0.981087 + 1.08208i
\(607\) 8.77254 15.1945i 0.356066 0.616725i −0.631233 0.775593i \(-0.717451\pi\)
0.987300 + 0.158868i \(0.0507843\pi\)
\(608\) −0.741415 + 1.88910i −0.0300684 + 0.0766129i
\(609\) 9.16014 + 13.9289i 0.371188 + 0.564429i
\(610\) 5.80740 + 14.7970i 0.235135 + 0.599114i
\(611\) 19.9463 + 3.00642i 0.806941 + 0.121627i
\(612\) −0.210992 + 0.576272i −0.00852886 + 0.0232944i
\(613\) −9.01122 + 6.14375i −0.363960 + 0.248144i −0.731467 0.681877i \(-0.761164\pi\)
0.367507 + 0.930021i \(0.380211\pi\)
\(614\) −7.39925 + 9.27836i −0.298609 + 0.374444i
\(615\) −19.1080 7.24662i −0.770510 0.292212i
\(616\) −22.5543 11.6558i −0.908739 0.469624i
\(617\) −3.29298 + 8.39037i −0.132570 + 0.337784i −0.981709 0.190386i \(-0.939026\pi\)
0.849139 + 0.528169i \(0.177121\pi\)
\(618\) 40.1819 + 8.68583i 1.61635 + 0.349395i
\(619\) −2.48525 4.30458i −0.0998905 0.173015i 0.811749 0.584007i \(-0.198516\pi\)
−0.911639 + 0.410991i \(0.865183\pi\)
\(620\) 1.21983 0.183859i 0.0489894 0.00738396i
\(621\) 3.39687 + 4.63028i 0.136312 + 0.185807i
\(622\) 3.69796 + 1.78084i 0.148275 + 0.0714053i
\(623\) 10.1065 4.52067i 0.404907 0.181117i
\(624\) 8.03401 27.1515i 0.321618 1.08693i
\(625\) 13.0990 1.97436i 0.523961 0.0789744i
\(626\) −3.09238 + 1.48921i −0.123596 + 0.0595208i
\(627\) −0.318555 27.6697i −0.0127219 1.10502i
\(628\) 1.22326 + 0.589093i 0.0488136 + 0.0235074i
\(629\) 1.01138 4.43116i 0.0403265 0.176682i
\(630\) −8.52688 38.2685i −0.339719 1.52465i
\(631\) 7.55830 + 33.1151i 0.300891 + 1.31829i 0.868785 + 0.495189i \(0.164901\pi\)
−0.567894 + 0.823102i \(0.692242\pi\)
\(632\) −0.751536 + 3.29270i −0.0298945 + 0.130976i
\(633\) 1.28650 + 7.91591i 0.0511337 + 0.314629i
\(634\) 3.92754 17.2077i 0.155983 0.683405i
\(635\) −1.80219 + 24.0486i −0.0715179 + 0.954340i
\(636\) 0.221162 + 0.0478069i 0.00876963 + 0.00189567i
\(637\) −27.4577 + 2.56715i −1.08791 + 0.101714i
\(638\) −18.1609 −0.718997
\(639\) −12.1933 + 22.2893i −0.482360 + 0.881750i
\(640\) 29.9651 + 27.8035i 1.18447 + 1.09903i
\(641\) −27.6491 4.16743i −1.09207 0.164603i −0.421778 0.906699i \(-0.638594\pi\)
−0.670294 + 0.742095i \(0.733832\pi\)
\(642\) 24.6501 + 35.2755i 0.972860 + 1.39221i
\(643\) −12.3645 + 11.4726i −0.487608 + 0.452435i −0.885256 0.465104i \(-0.846017\pi\)
0.397648 + 0.917538i \(0.369827\pi\)
\(644\) −0.0106013 0.227274i −0.000417751 0.00895584i
\(645\) 36.3933 + 52.0808i 1.43299 + 2.05068i
\(646\) −15.7502 7.58491i −0.619685 0.298424i
\(647\) −18.3793 5.66927i −0.722566 0.222882i −0.0884067 0.996084i \(-0.528177\pi\)
−0.634159 + 0.773202i \(0.718654\pi\)
\(648\) 3.00626 + 24.7550i 0.118097 + 0.972467i
\(649\) −16.9278 + 43.1312i −0.664472 + 1.69305i
\(650\) −2.86159 + 38.1853i −0.112241 + 1.49775i
\(651\) 8.87896 + 19.2521i 0.347994 + 0.754551i
\(652\) −0.110385 1.47298i −0.00432301 0.0576865i
\(653\) −6.59115 2.03310i −0.257932 0.0795614i 0.163092 0.986611i \(-0.447853\pi\)
−0.421024 + 0.907049i \(0.638329\pi\)
\(654\) −9.46108 19.0810i −0.369957 0.746128i
\(655\) −10.2733 17.7939i −0.401412 0.695265i
\(656\) −7.14363 12.3731i −0.278912 0.483089i
\(657\) 35.2544 34.2551i 1.37540 1.33642i
\(658\) 18.4899 + 6.27931i 0.720810 + 0.244793i
\(659\) 12.2319 + 31.1664i 0.476488 + 1.21407i 0.943959 + 0.330064i \(0.107070\pi\)
−0.467470 + 0.884009i \(0.654835\pi\)
\(660\) 1.49552 + 0.567167i 0.0582129 + 0.0220770i
\(661\) 12.5090 + 6.02403i 0.486545 + 0.234308i 0.661041 0.750350i \(-0.270115\pi\)
−0.174495 + 0.984658i \(0.555829\pi\)
\(662\) 32.0401 + 15.4297i 1.24528 + 0.599693i
\(663\) 16.7733 + 6.36120i 0.651423 + 0.247049i
\(664\) 16.2473 + 41.3974i 0.630517 + 1.60653i
\(665\) 41.5165 5.06551i 1.60994 0.196432i
\(666\) 1.83100 + 7.24862i 0.0709498 + 0.280878i
\(667\) 2.01027 + 3.48189i 0.0778381 + 0.134820i
\(668\) −0.489783 0.848329i −0.0189503 0.0328228i
\(669\) 14.1784 + 28.5948i 0.548167 + 1.10554i
\(670\) 6.71188 + 2.07034i 0.259303 + 0.0799842i
\(671\) −0.832852 11.1136i −0.0321519 0.429037i
\(672\) 0.904856 1.80148i 0.0349056 0.0694935i
\(673\) −0.447465 + 5.97101i −0.0172485 + 0.230166i 0.981917 + 0.189314i \(0.0606263\pi\)
−0.999165 + 0.0408520i \(0.986993\pi\)
\(674\) −0.367551 + 0.936505i −0.0141575 + 0.0360728i
\(675\) −11.4775 33.1044i −0.441768 1.27419i
\(676\) 0.187427 + 0.0578135i 0.00720872 + 0.00222360i
\(677\) −3.85559 1.85676i −0.148182 0.0713609i 0.358323 0.933598i \(-0.383349\pi\)
−0.506505 + 0.862237i \(0.669063\pi\)
\(678\) −2.64637 3.78710i −0.101633 0.145443i
\(679\) −35.5269 6.38365i −1.36340 0.244982i
\(680\) −18.2981 + 16.9782i −0.701701 + 0.651083i
\(681\) −25.5002 36.4921i −0.977169 1.39838i
\(682\) −22.8377 3.44223i −0.874501 0.131810i
\(683\) 3.45951 + 3.20996i 0.132375 + 0.122826i 0.743582 0.668645i \(-0.233125\pi\)
−0.611207 + 0.791471i \(0.709316\pi\)
\(684\) 1.07656 0.0247917i 0.0411632 0.000947933i
\(685\) 20.2478 0.773627
\(686\) −26.6008 2.25484i −1.01562 0.0860903i
\(687\) −15.1000 3.26405i −0.576099 0.124531i
\(688\) −3.31949 + 44.2955i −0.126554 + 1.68875i
\(689\) 1.47181 6.44843i 0.0560716 0.245666i
\(690\) −1.51681 9.33306i −0.0577441 0.355303i
\(691\) −4.53669 + 19.8765i −0.172584 + 0.756139i 0.812345 + 0.583177i \(0.198191\pi\)
−0.984929 + 0.172961i \(0.944666\pi\)
\(692\) 0.327083 + 1.43305i 0.0124338 + 0.0544762i
\(693\) −2.19573 + 27.4007i −0.0834089 + 1.04087i
\(694\) 0.515793 2.25984i 0.0195792 0.0857822i
\(695\) 59.7761 + 28.7866i 2.26743 + 1.09194i
\(696\) 0.200985 + 17.4576i 0.00761833 + 0.661728i
\(697\) 8.15528 3.92737i 0.308903 0.148760i
\(698\) −20.2314 + 3.04940i −0.765771 + 0.115421i
\(699\) 4.12880 13.9536i 0.156166 0.527772i
\(700\) −0.346917 + 1.34412i −0.0131122 + 0.0508030i
\(701\) −14.2346 6.85504i −0.537635 0.258911i 0.145304 0.989387i \(-0.453584\pi\)
−0.682939 + 0.730476i \(0.739298\pi\)
\(702\) −29.3319 + 3.21989i −1.10706 + 0.121527i
\(703\) −7.88634 + 1.18867i −0.297439 + 0.0448317i
\(704\) −13.2728 22.9892i −0.500239 0.866440i
\(705\) 29.7042 + 6.42094i 1.11872 + 0.241827i
\(706\) 0.118841 0.302802i 0.00447264 0.0113961i
\(707\) 22.9079 + 30.4480i 0.861540 + 1.14512i
\(708\) −1.68593 0.639381i −0.0633612 0.0240294i
\(709\) 11.3077 14.1794i 0.424669 0.532518i −0.522762 0.852479i \(-0.675098\pi\)
0.947431 + 0.319961i \(0.103670\pi\)
\(710\) 34.5638 23.5652i 1.29715 0.884385i
\(711\) 3.60245 0.628122i 0.135102 0.0235564i
\(712\) 11.4651 + 1.72808i 0.429671 + 0.0647625i
\(713\) 1.86800 + 4.75958i 0.0699571 + 0.178248i
\(714\) 14.8924 + 8.93249i 0.557333 + 0.334290i
\(715\) 17.0815 43.5229i 0.638811 1.62766i
\(716\) −0.178858 + 0.309792i −0.00668425 + 0.0115775i
\(717\) −27.0107 + 29.7912i −1.00873 + 1.11257i
\(718\) −17.6431 + 44.9540i −0.658436 + 1.67767i
\(719\) 24.2642 22.5138i 0.904900 0.839625i −0.0827064 0.996574i \(-0.526356\pi\)
0.987607 + 0.156949i \(0.0501659\pi\)
\(720\) 14.6668 40.0587i 0.546600 1.49290i
\(721\) 17.0525 40.0884i 0.635069 1.49297i
\(722\) −0.245661 + 3.27812i −0.00914255 + 0.121999i
\(723\) −33.4505 2.11983i −1.24404 0.0788375i
\(724\) −0.627192 + 0.302040i −0.0233094 + 0.0112252i
\(725\) −5.45855 23.9154i −0.202725 0.888198i
\(726\) −1.95788 1.52482i −0.0726639 0.0565914i
\(727\) 4.80311 + 4.45663i 0.178137 + 0.165287i 0.764202 0.644977i \(-0.223133\pi\)
−0.586065 + 0.810264i \(0.699324\pi\)
\(728\) −25.6569 13.2592i −0.950908 0.491417i
\(729\) 23.4596 13.3659i 0.868874 0.495033i
\(730\) −77.3409 + 23.8565i −2.86251 + 0.882968i
\(731\) −27.8277 4.19436i −1.02925 0.155134i
\(732\) 0.432088 0.0373873i 0.0159704 0.00138188i
\(733\) 1.86413 24.8751i 0.0688531 0.918781i −0.850659 0.525719i \(-0.823796\pi\)
0.919512 0.393063i \(-0.128584\pi\)
\(734\) −8.72339 15.1094i −0.321986 0.557696i
\(735\) −41.5292 + 1.24360i −1.53183 + 0.0458709i
\(736\) 0.243094 0.421051i 0.00896055 0.0155201i
\(737\) −4.06888 2.77411i −0.149879 0.102186i
\(738\) −9.01278 + 11.8515i −0.331765 + 0.436258i
\(739\) 0.276314 + 0.704037i 0.0101644 + 0.0258984i 0.935866 0.352356i \(-0.114620\pi\)
−0.925701 + 0.378255i \(0.876524\pi\)
\(740\) 0.102580 0.449432i 0.00377092 0.0165215i
\(741\) −0.362376 31.4760i −0.0133122 1.15630i
\(742\) 2.50630 5.89200i 0.0920093 0.216302i
\(743\) 18.4757 5.69901i 0.677809 0.209076i 0.0633097 0.997994i \(-0.479834\pi\)
0.614499 + 0.788918i \(0.289358\pi\)
\(744\) −3.05618 + 21.9914i −0.112045 + 0.806242i
\(745\) 2.20186 2.04303i 0.0806699 0.0748507i
\(746\) 0.985269 13.1475i 0.0360733 0.481364i
\(747\) 34.5337 33.5549i 1.26352 1.22771i
\(748\) −0.638285 + 0.307382i −0.0233380 + 0.0112390i
\(749\) 41.6293 18.6210i 1.52110 0.680397i
\(750\) −2.05269 + 14.7705i −0.0749535 + 0.539343i
\(751\) 34.6971 + 10.7026i 1.26611 + 0.390545i 0.853850 0.520519i \(-0.174262\pi\)
0.412265 + 0.911064i \(0.364738\pi\)
\(752\) 13.2470 + 16.6112i 0.483067 + 0.605747i
\(753\) −7.31791 22.7893i −0.266680 0.830487i
\(754\) −20.6591 −0.752362
\(755\) −11.0272 13.8276i −0.401319 0.503239i
\(756\) −1.06722 0.0731663i −0.0388143 0.00266103i
\(757\) −23.6798 + 29.6935i −0.860657 + 1.07923i 0.135424 + 0.990788i \(0.456760\pi\)
−0.996081 + 0.0884421i \(0.971811\pi\)
\(758\) 18.7831 23.5533i 0.682234 0.855494i
\(759\) −0.912529 + 6.56629i −0.0331227 + 0.238341i
\(760\) 39.4630 + 19.0044i 1.43147 + 0.689361i
\(761\) 19.5675 + 49.8572i 0.709322 + 1.80732i 0.578095 + 0.815970i \(0.303796\pi\)
0.131227 + 0.991352i \(0.458108\pi\)
\(762\) 16.4286 + 6.23045i 0.595145 + 0.225705i
\(763\) −21.7457 + 6.04198i −0.787246 + 0.218734i
\(764\) −1.07972 1.35392i −0.0390629 0.0489833i
\(765\) 24.6138 + 11.1628i 0.889913 + 0.403590i
\(766\) −7.91443 + 13.7082i −0.285960 + 0.495297i
\(767\) −19.2564 + 49.0644i −0.695307 + 1.77161i
\(768\) 2.77823 1.64694i 0.100251 0.0594290i
\(769\) 0.437294 + 5.83529i 0.0157692 + 0.210426i 0.999522 + 0.0308999i \(0.00983731\pi\)
−0.983753 + 0.179526i \(0.942544\pi\)
\(770\) 23.7262 38.5437i 0.855032 1.38902i
\(771\) 13.0868 3.14591i 0.471310 0.113297i
\(772\) −1.07645 1.34982i −0.0387421 0.0485811i