Properties

Label 300.2.n.a.11.6
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 11.6
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.31876 - 0.510760i) q^{2} +(-1.38129 - 1.04500i) q^{3} +(1.47825 + 1.34714i) q^{4} +(-1.62369 + 1.53741i) q^{5} +(1.28785 + 2.08361i) q^{6} -1.57078i q^{7} +(-1.26139 - 2.53158i) q^{8} +(0.815942 + 2.88691i) q^{9} +O(q^{10})\) \(q+(-1.31876 - 0.510760i) q^{2} +(-1.38129 - 1.04500i) q^{3} +(1.47825 + 1.34714i) q^{4} +(-1.62369 + 1.53741i) q^{5} +(1.28785 + 2.08361i) q^{6} -1.57078i q^{7} +(-1.26139 - 2.53158i) q^{8} +(0.815942 + 2.88691i) q^{9} +(2.92650 - 1.19816i) q^{10} +(-0.805168 + 0.584989i) q^{11} +(-0.634132 - 3.40557i) q^{12} +(3.32120 + 2.41299i) q^{13} +(-0.802290 + 2.07148i) q^{14} +(3.84939 - 0.426859i) q^{15} +(0.370436 + 3.98281i) q^{16} +(2.67618 - 0.869543i) q^{17} +(0.398487 - 4.22389i) q^{18} +(2.16804 - 0.704440i) q^{19} +(-4.47132 + 0.0853430i) q^{20} +(-1.64147 + 2.16970i) q^{21} +(1.36061 - 0.360212i) q^{22} +(3.32508 - 2.41581i) q^{23} +(-0.903160 + 4.81501i) q^{24} +(0.272730 - 4.99256i) q^{25} +(-3.14740 - 4.87849i) q^{26} +(1.88977 - 4.84033i) q^{27} +(2.11605 - 2.32200i) q^{28} +(5.85151 + 1.90127i) q^{29} +(-5.29444 - 1.40319i) q^{30} +(5.79822 - 1.88396i) q^{31} +(1.54574 - 5.44157i) q^{32} +(1.72349 + 0.0333610i) q^{33} +(-3.97336 - 0.220168i) q^{34} +(2.41493 + 2.55045i) q^{35} +(-2.68290 + 5.36675i) q^{36} +(-6.24168 - 4.53485i) q^{37} +(-3.21892 - 0.178364i) q^{38} +(-2.06597 - 6.80371i) q^{39} +(5.94018 + 2.17123i) q^{40} +(0.677043 - 0.931869i) q^{41} +(3.27289 - 2.02292i) q^{42} +10.1022i q^{43} +(-1.97830 - 0.219914i) q^{44} +(-5.76320 - 3.43300i) q^{45} +(-5.61888 + 1.48755i) q^{46} +(-2.73594 + 8.42037i) q^{47} +(3.65036 - 5.88854i) q^{48} +4.53266 q^{49} +(-2.90966 + 6.44468i) q^{50} +(-4.60526 - 1.59552i) q^{51} +(1.65892 + 8.04112i) q^{52} +(13.3466 + 4.33658i) q^{53} +(-4.96440 + 5.41801i) q^{54} +(0.407974 - 2.18772i) q^{55} +(-3.97655 + 1.98136i) q^{56} +(-3.73084 - 1.29257i) q^{57} +(-6.74564 - 5.49604i) q^{58} +(5.61840 + 4.08201i) q^{59} +(6.26539 + 4.55466i) q^{60} +(-4.31278 + 3.13342i) q^{61} +(-8.60870 - 0.477016i) q^{62} +(4.53469 - 1.28166i) q^{63} +(-4.81780 + 6.38661i) q^{64} +(-9.10236 + 1.18810i) q^{65} +(-2.25583 - 0.924284i) q^{66} +(-14.4540 + 4.69638i) q^{67} +(5.12745 + 2.31978i) q^{68} +(-7.11744 - 0.137770i) q^{69} +(-1.88204 - 4.59688i) q^{70} +(2.39786 - 7.37987i) q^{71} +(6.27922 - 5.70713i) q^{72} +(-0.874393 + 0.635284i) q^{73} +(5.91505 + 9.16837i) q^{74} +(-5.59395 + 6.61118i) q^{75} +(4.15388 + 1.87932i) q^{76} +(0.918888 + 1.26474i) q^{77} +(-0.750550 + 10.0277i) q^{78} +(1.31958 + 0.428757i) q^{79} +(-6.72469 - 5.89733i) q^{80} +(-7.66848 + 4.71110i) q^{81} +(-1.36882 + 0.883104i) q^{82} +(-1.02109 - 3.14260i) q^{83} +(-5.34939 + 0.996081i) q^{84} +(-3.00843 + 5.52625i) q^{85} +(5.15981 - 13.3224i) q^{86} +(-6.09582 - 8.74106i) q^{87} +(2.49658 + 1.30045i) q^{88} +(-2.65091 - 3.64867i) q^{89} +(5.84683 + 7.47091i) q^{90} +(3.79028 - 5.21687i) q^{91} +(8.16972 + 0.908173i) q^{92} +(-9.97778 - 3.45686i) q^{93} +(7.90884 - 9.70702i) q^{94} +(-2.43721 + 4.47697i) q^{95} +(-7.82158 + 5.90110i) q^{96} +(3.60340 - 11.0901i) q^{97} +(-5.97748 - 2.31510i) q^{98} +(-2.34578 - 1.84713i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.31876 0.510760i −0.932503 0.361162i
\(3\) −1.38129 1.04500i −0.797490 0.603332i
\(4\) 1.47825 + 1.34714i 0.739124 + 0.673569i
\(5\) −1.62369 + 1.53741i −0.726136 + 0.687551i
\(6\) 1.28785 + 2.08361i 0.525761 + 0.850632i
\(7\) 1.57078i 0.593698i −0.954924 0.296849i \(-0.904064\pi\)
0.954924 0.296849i \(-0.0959358\pi\)
\(8\) −1.26139 2.53158i −0.445968 0.895049i
\(9\) 0.815942 + 2.88691i 0.271981 + 0.962303i
\(10\) 2.92650 1.19816i 0.925441 0.378891i
\(11\) −0.805168 + 0.584989i −0.242767 + 0.176381i −0.702515 0.711669i \(-0.747940\pi\)
0.459748 + 0.888049i \(0.347940\pi\)
\(12\) −0.634132 3.40557i −0.183058 0.983102i
\(13\) 3.32120 + 2.41299i 0.921135 + 0.669244i 0.943806 0.330499i \(-0.107217\pi\)
−0.0226710 + 0.999743i \(0.507217\pi\)
\(14\) −0.802290 + 2.07148i −0.214421 + 0.553625i
\(15\) 3.84939 0.426859i 0.993908 0.110214i
\(16\) 0.370436 + 3.98281i 0.0926090 + 0.995703i
\(17\) 2.67618 0.869543i 0.649068 0.210895i 0.0340651 0.999420i \(-0.489155\pi\)
0.615003 + 0.788524i \(0.289155\pi\)
\(18\) 0.398487 4.22389i 0.0939242 0.995579i
\(19\) 2.16804 0.704440i 0.497383 0.161610i −0.0495736 0.998770i \(-0.515786\pi\)
0.546957 + 0.837161i \(0.315786\pi\)
\(20\) −4.47132 + 0.0853430i −0.999818 + 0.0190833i
\(21\) −1.64147 + 2.16970i −0.358197 + 0.473468i
\(22\) 1.36061 0.360212i 0.290083 0.0767974i
\(23\) 3.32508 2.41581i 0.693327 0.503731i −0.184425 0.982847i \(-0.559042\pi\)
0.877752 + 0.479115i \(0.159042\pi\)
\(24\) −0.903160 + 4.81501i −0.184357 + 0.982859i
\(25\) 0.272730 4.99256i 0.0545460 0.998511i
\(26\) −3.14740 4.87849i −0.617256 0.956751i
\(27\) 1.88977 4.84033i 0.363686 0.931522i
\(28\) 2.11605 2.32200i 0.399897 0.438817i
\(29\) 5.85151 + 1.90127i 1.08660 + 0.353057i 0.796931 0.604070i \(-0.206455\pi\)
0.289668 + 0.957127i \(0.406455\pi\)
\(30\) −5.29444 1.40319i −0.966627 0.256186i
\(31\) 5.79822 1.88396i 1.04139 0.338368i 0.262107 0.965039i \(-0.415583\pi\)
0.779284 + 0.626670i \(0.215583\pi\)
\(32\) 1.54574 5.44157i 0.273252 0.961943i
\(33\) 1.72349 + 0.0333610i 0.300021 + 0.00580741i
\(34\) −3.97336 0.220168i −0.681426 0.0377584i
\(35\) 2.41493 + 2.55045i 0.408198 + 0.431105i
\(36\) −2.68290 + 5.36675i −0.447150 + 0.894459i
\(37\) −6.24168 4.53485i −1.02613 0.745524i −0.0585964 0.998282i \(-0.518662\pi\)
−0.967530 + 0.252758i \(0.918662\pi\)
\(38\) −3.21892 0.178364i −0.522179 0.0289344i
\(39\) −2.06597 6.80371i −0.330820 1.08947i
\(40\) 5.94018 + 2.17123i 0.939225 + 0.343301i
\(41\) 0.677043 0.931869i 0.105736 0.145534i −0.752870 0.658170i \(-0.771331\pi\)
0.858606 + 0.512636i \(0.171331\pi\)
\(42\) 3.27289 2.02292i 0.505019 0.312144i
\(43\) 10.1022i 1.54057i 0.637697 + 0.770287i \(0.279887\pi\)
−0.637697 + 0.770287i \(0.720113\pi\)
\(44\) −1.97830 0.219914i −0.298240 0.0331533i
\(45\) −5.76320 3.43300i −0.859128 0.511762i
\(46\) −5.61888 + 1.48755i −0.828458 + 0.219328i
\(47\) −2.73594 + 8.42037i −0.399078 + 1.22824i 0.526661 + 0.850075i \(0.323444\pi\)
−0.925740 + 0.378162i \(0.876556\pi\)
\(48\) 3.65036 5.88854i 0.526885 0.849937i
\(49\) 4.53266 0.647523
\(50\) −2.90966 + 6.44468i −0.411489 + 0.911415i
\(51\) −4.60526 1.59552i −0.644865 0.223417i
\(52\) 1.65892 + 8.04112i 0.230051 + 1.11510i
\(53\) 13.3466 + 4.33658i 1.83330 + 0.595675i 0.999017 + 0.0443356i \(0.0141171\pi\)
0.834281 + 0.551339i \(0.185883\pi\)
\(54\) −4.96440 + 5.41801i −0.675569 + 0.737297i
\(55\) 0.407974 2.18772i 0.0550112 0.294992i
\(56\) −3.97655 + 1.98136i −0.531389 + 0.264770i
\(57\) −3.73084 1.29257i −0.494162 0.171205i
\(58\) −6.74564 5.49604i −0.885746 0.721665i
\(59\) 5.61840 + 4.08201i 0.731454 + 0.531432i 0.890023 0.455916i \(-0.150688\pi\)
−0.158569 + 0.987348i \(0.550688\pi\)
\(60\) 6.26539 + 4.55466i 0.808858 + 0.588004i
\(61\) −4.31278 + 3.13342i −0.552195 + 0.401193i −0.828594 0.559850i \(-0.810859\pi\)
0.276399 + 0.961043i \(0.410859\pi\)
\(62\) −8.60870 0.477016i −1.09331 0.0605811i
\(63\) 4.53469 1.28166i 0.571317 0.161474i
\(64\) −4.81780 + 6.38661i −0.602225 + 0.798326i
\(65\) −9.10236 + 1.18810i −1.12901 + 0.147366i
\(66\) −2.25583 0.924284i −0.277673 0.113772i
\(67\) −14.4540 + 4.69638i −1.76583 + 0.573754i −0.997778 0.0666278i \(-0.978776\pi\)
−0.768056 + 0.640382i \(0.778776\pi\)
\(68\) 5.12745 + 2.31978i 0.621795 + 0.281315i
\(69\) −7.11744 0.137770i −0.856838 0.0165856i
\(70\) −1.88204 4.59688i −0.224947 0.549433i
\(71\) 2.39786 7.37987i 0.284574 0.875829i −0.701952 0.712225i \(-0.747688\pi\)
0.986526 0.163605i \(-0.0523122\pi\)
\(72\) 6.27922 5.70713i 0.740013 0.672592i
\(73\) −0.874393 + 0.635284i −0.102340 + 0.0743543i −0.637778 0.770220i \(-0.720146\pi\)
0.535438 + 0.844574i \(0.320146\pi\)
\(74\) 5.91505 + 9.16837i 0.687611 + 1.06580i
\(75\) −5.59395 + 6.61118i −0.645934 + 0.763393i
\(76\) 4.15388 + 1.87932i 0.476483 + 0.215572i
\(77\) 0.918888 + 1.26474i 0.104717 + 0.144131i
\(78\) −0.750550 + 10.0277i −0.0849831 + 1.13541i
\(79\) 1.31958 + 0.428757i 0.148464 + 0.0482389i 0.382306 0.924036i \(-0.375130\pi\)
−0.233842 + 0.972275i \(0.575130\pi\)
\(80\) −6.72469 5.89733i −0.751843 0.659342i
\(81\) −7.66848 + 4.71110i −0.852053 + 0.523456i
\(82\) −1.36882 + 0.883104i −0.151161 + 0.0975226i
\(83\) −1.02109 3.14260i −0.112079 0.344945i 0.879247 0.476366i \(-0.158046\pi\)
−0.991327 + 0.131421i \(0.958046\pi\)
\(84\) −5.34939 + 0.996081i −0.583666 + 0.108681i
\(85\) −3.00843 + 5.52625i −0.326311 + 0.599406i
\(86\) 5.15981 13.3224i 0.556397 1.43659i
\(87\) −6.09582 8.74106i −0.653541 0.937140i
\(88\) 2.49658 + 1.30045i 0.266136 + 0.138628i
\(89\) −2.65091 3.64867i −0.280996 0.386758i 0.645067 0.764126i \(-0.276829\pi\)
−0.926064 + 0.377368i \(0.876829\pi\)
\(90\) 5.84683 + 7.47091i 0.616310 + 0.787503i
\(91\) 3.79028 5.21687i 0.397329 0.546876i
\(92\) 8.16972 + 0.908173i 0.851752 + 0.0946835i
\(93\) −9.97778 3.45686i −1.03465 0.358459i
\(94\) 7.90884 9.70702i 0.815734 1.00120i
\(95\) −2.43721 + 4.47697i −0.250053 + 0.459327i
\(96\) −7.82158 + 5.90110i −0.798286 + 0.602278i
\(97\) 3.60340 11.0901i 0.365869 1.12603i −0.583565 0.812066i \(-0.698343\pi\)
0.949435 0.313964i \(-0.101657\pi\)
\(98\) −5.97748 2.31510i −0.603817 0.233860i
\(99\) −2.34578 1.84713i −0.235760 0.185644i
\(100\) 7.12883 7.01283i 0.712883 0.701283i
\(101\) 6.66494i 0.663187i −0.943422 0.331593i \(-0.892414\pi\)
0.943422 0.331593i \(-0.107586\pi\)
\(102\) 5.25830 + 4.45629i 0.520649 + 0.441238i
\(103\) 11.8003 + 3.83415i 1.16272 + 0.377790i 0.825921 0.563786i \(-0.190656\pi\)
0.336799 + 0.941577i \(0.390656\pi\)
\(104\) 1.91936 11.4516i 0.188209 1.12292i
\(105\) −0.670500 6.04653i −0.0654341 0.590081i
\(106\) −15.3860 12.5358i −1.49442 1.21759i
\(107\) −12.3986 −1.19862 −0.599310 0.800517i \(-0.704558\pi\)
−0.599310 + 0.800517i \(0.704558\pi\)
\(108\) 9.31414 4.60943i 0.896253 0.443542i
\(109\) 11.3940 + 8.27819i 1.09134 + 0.792907i 0.979625 0.200833i \(-0.0643649\pi\)
0.111717 + 0.993740i \(0.464365\pi\)
\(110\) −1.65542 + 2.67669i −0.157838 + 0.255213i
\(111\) 3.88267 + 12.7865i 0.368527 + 1.21364i
\(112\) 6.25611 0.581873i 0.591147 0.0549818i
\(113\) −2.53991 + 3.49589i −0.238935 + 0.328866i −0.911598 0.411084i \(-0.865150\pi\)
0.672663 + 0.739949i \(0.265150\pi\)
\(114\) 4.25989 + 3.61015i 0.398975 + 0.338122i
\(115\) −1.68480 + 9.03454i −0.157108 + 0.842475i
\(116\) 6.08871 + 10.6934i 0.565323 + 0.992853i
\(117\) −4.25618 + 11.5569i −0.393484 + 1.06843i
\(118\) −5.32439 8.25284i −0.490150 0.759735i
\(119\) −1.36586 4.20368i −0.125208 0.385351i
\(120\) −5.93620 9.20660i −0.541898 0.840444i
\(121\) −3.09310 + 9.51959i −0.281191 + 0.865417i
\(122\) 7.28794 1.92943i 0.659819 0.174682i
\(123\) −1.90900 + 0.579674i −0.172129 + 0.0522674i
\(124\) 11.1092 + 5.02605i 0.997632 + 0.451353i
\(125\) 7.23279 + 8.52566i 0.646920 + 0.762558i
\(126\) −6.63478 0.625934i −0.591074 0.0557626i
\(127\) −1.32791 1.82771i −0.117833 0.162183i 0.746026 0.665917i \(-0.231959\pi\)
−0.863859 + 0.503733i \(0.831959\pi\)
\(128\) 9.61554 5.96166i 0.849902 0.526941i
\(129\) 10.5568 13.9541i 0.929478 1.22859i
\(130\) 12.6107 + 3.08230i 1.10603 + 0.270336i
\(131\) 0.852909 + 2.62498i 0.0745190 + 0.229346i 0.981377 0.192090i \(-0.0615264\pi\)
−0.906858 + 0.421435i \(0.861526\pi\)
\(132\) 2.50280 + 2.37109i 0.217841 + 0.206377i
\(133\) −1.10652 3.40551i −0.0959473 0.295295i
\(134\) 21.4600 + 1.18912i 1.85386 + 0.102724i
\(135\) 4.37318 + 10.7645i 0.376383 + 0.926464i
\(136\) −5.57702 5.67813i −0.478225 0.486896i
\(137\) 9.61047 13.2277i 0.821078 1.13012i −0.168440 0.985712i \(-0.553873\pi\)
0.989519 0.144405i \(-0.0461269\pi\)
\(138\) 9.31581 + 3.81699i 0.793015 + 0.324924i
\(139\) −5.44998 7.50125i −0.462261 0.636248i 0.512715 0.858559i \(-0.328640\pi\)
−0.974976 + 0.222311i \(0.928640\pi\)
\(140\) 0.134055 + 7.02345i 0.0113297 + 0.593590i
\(141\) 12.5784 8.77193i 1.05930 0.738730i
\(142\) −6.93155 + 8.50753i −0.581683 + 0.713936i
\(143\) −4.08570 −0.341663
\(144\) −11.1958 + 4.31916i −0.932979 + 0.359930i
\(145\) −12.4241 + 5.90911i −1.03176 + 0.490725i
\(146\) 1.47759 0.391181i 0.122286 0.0323743i
\(147\) −6.26093 4.73664i −0.516393 0.390671i
\(148\) −3.11769 15.1120i −0.256272 1.24220i
\(149\) 4.15630i 0.340498i −0.985401 0.170249i \(-0.945543\pi\)
0.985401 0.170249i \(-0.0544571\pi\)
\(150\) 10.7538 5.86139i 0.878044 0.478580i
\(151\) 16.3232i 1.32836i −0.747571 0.664182i \(-0.768780\pi\)
0.747571 0.664182i \(-0.231220\pi\)
\(152\) −4.51809 4.60000i −0.366465 0.373109i
\(153\) 4.69390 + 7.01638i 0.379479 + 0.567241i
\(154\) −0.565812 2.13722i −0.0455944 0.172222i
\(155\) −6.51809 + 11.9732i −0.523545 + 0.961711i
\(156\) 6.11153 12.8407i 0.489314 1.02808i
\(157\) 16.8990 1.34869 0.674344 0.738417i \(-0.264427\pi\)
0.674344 + 0.738417i \(0.264427\pi\)
\(158\) −1.52121 1.23941i −0.121021 0.0986025i
\(159\) −13.9039 19.9373i −1.10265 1.58113i
\(160\) 5.85612 + 11.2119i 0.462967 + 0.886375i
\(161\) −3.79470 5.22296i −0.299064 0.411627i
\(162\) 12.5191 2.29605i 0.983594 0.180395i
\(163\) −3.26549 + 4.49456i −0.255773 + 0.352041i −0.917522 0.397684i \(-0.869814\pi\)
0.661750 + 0.749725i \(0.269814\pi\)
\(164\) 2.25619 0.465464i 0.176179 0.0363466i
\(165\) −2.84970 + 2.59554i −0.221849 + 0.202063i
\(166\) −0.258540 + 4.66586i −0.0200666 + 0.362141i
\(167\) 5.08015 + 15.6351i 0.393114 + 1.20988i 0.930421 + 0.366493i \(0.119442\pi\)
−0.537307 + 0.843387i \(0.680558\pi\)
\(168\) 7.56331 + 1.41866i 0.583522 + 0.109452i
\(169\) 1.19061 + 3.66434i 0.0915858 + 0.281872i
\(170\) 6.78999 5.75121i 0.520768 0.441097i
\(171\) 3.80265 + 5.68416i 0.290796 + 0.434678i
\(172\) −13.6091 + 14.9336i −1.03768 + 1.13868i
\(173\) −6.52884 8.98618i −0.496379 0.683206i 0.485170 0.874420i \(-0.338758\pi\)
−0.981548 + 0.191213i \(0.938758\pi\)
\(174\) 3.57434 + 14.6408i 0.270970 + 1.10992i
\(175\) −7.84219 0.428398i −0.592814 0.0323838i
\(176\) −2.62816 2.99013i −0.198105 0.225390i
\(177\) −3.49495 11.5097i −0.262697 0.865121i
\(178\) 1.63232 + 6.16570i 0.122348 + 0.462138i
\(179\) −4.11191 + 12.6551i −0.307338 + 0.945890i 0.671456 + 0.741044i \(0.265669\pi\)
−0.978794 + 0.204845i \(0.934331\pi\)
\(180\) −3.89472 12.8387i −0.290295 0.956937i
\(181\) −5.89061 18.1294i −0.437846 1.34755i −0.890142 0.455683i \(-0.849395\pi\)
0.452297 0.891867i \(-0.350605\pi\)
\(182\) −7.66303 + 4.94387i −0.568021 + 0.366464i
\(183\) 9.23164 + 0.178694i 0.682423 + 0.0132094i
\(184\) −10.3100 5.37043i −0.760066 0.395913i
\(185\) 17.1065 2.23285i 1.25769 0.164163i
\(186\) 11.3927 + 9.65501i 0.835350 + 0.707940i
\(187\) −1.64610 + 2.26566i −0.120375 + 0.165682i
\(188\) −15.3878 + 8.76170i −1.12227 + 0.639013i
\(189\) −7.60308 2.96841i −0.553043 0.215920i
\(190\) 5.50075 4.65921i 0.399066 0.338014i
\(191\) −4.27956 3.10928i −0.309658 0.224980i 0.422092 0.906553i \(-0.361296\pi\)
−0.731750 + 0.681573i \(0.761296\pi\)
\(192\) 13.3288 3.78717i 0.961924 0.273316i
\(193\) −13.2706 −0.955238 −0.477619 0.878567i \(-0.658500\pi\)
−0.477619 + 0.878567i \(0.658500\pi\)
\(194\) −10.4164 + 12.7847i −0.747854 + 0.917889i
\(195\) 13.8146 + 7.87087i 0.989284 + 0.563644i
\(196\) 6.70039 + 6.10612i 0.478600 + 0.436151i
\(197\) −5.00539 1.62635i −0.356619 0.115873i 0.125228 0.992128i \(-0.460034\pi\)
−0.481847 + 0.876255i \(0.660034\pi\)
\(198\) 2.15008 + 3.63405i 0.152799 + 0.258261i
\(199\) 18.1239i 1.28477i −0.766383 0.642384i \(-0.777946\pi\)
0.766383 0.642384i \(-0.222054\pi\)
\(200\) −12.9831 + 5.60711i −0.918042 + 0.396483i
\(201\) 24.8729 + 8.61735i 1.75440 + 0.607821i
\(202\) −3.40419 + 8.78945i −0.239518 + 0.618424i
\(203\) 2.98648 9.19143i 0.209610 0.645112i
\(204\) −4.65834 8.56249i −0.326149 0.599495i
\(205\) 0.333360 + 2.55396i 0.0232829 + 0.178376i
\(206\) −13.6034 11.0835i −0.947796 0.772221i
\(207\) 9.68730 + 7.62803i 0.673314 + 0.530185i
\(208\) −8.38020 + 14.1216i −0.581062 + 0.979155i
\(209\) −1.33355 + 1.83547i −0.0922436 + 0.126962i
\(210\) −2.20410 + 8.31638i −0.152097 + 0.573885i
\(211\) 3.33927 + 4.59611i 0.229885 + 0.316409i 0.908340 0.418232i \(-0.137350\pi\)
−0.678455 + 0.734642i \(0.737350\pi\)
\(212\) 13.8876 + 24.3903i 0.953807 + 1.67513i
\(213\) −11.0241 + 7.68799i −0.755361 + 0.526772i
\(214\) 16.3508 + 6.33272i 1.11772 + 0.432896i
\(215\) −15.5313 16.4029i −1.05922 1.11867i
\(216\) −14.6374 + 1.32143i −0.995950 + 0.0899118i
\(217\) −2.95928 9.10771i −0.200889 0.618272i
\(218\) −10.7977 16.7365i −0.731313 1.13354i
\(219\) 1.87167 + 0.0362292i 0.126475 + 0.00244815i
\(220\) 3.55024 2.68439i 0.239357 0.180982i
\(221\) 10.9863 + 3.56967i 0.739020 + 0.240122i
\(222\) 1.41054 18.8454i 0.0946694 1.26482i
\(223\) 9.27689 + 12.7685i 0.621226 + 0.855044i 0.997441 0.0714878i \(-0.0227747\pi\)
−0.376215 + 0.926532i \(0.622775\pi\)
\(224\) −8.54749 2.42802i −0.571103 0.162229i
\(225\) 14.6356 3.28629i 0.975706 0.219086i
\(226\) 5.13509 3.31295i 0.341581 0.220374i
\(227\) 20.8889 15.1767i 1.38645 1.00731i 0.390202 0.920729i \(-0.372405\pi\)
0.996245 0.0865831i \(-0.0275948\pi\)
\(228\) −3.77384 6.93670i −0.249929 0.459394i
\(229\) −0.214314 + 0.659589i −0.0141622 + 0.0435869i −0.957888 0.287142i \(-0.907295\pi\)
0.943726 + 0.330729i \(0.107295\pi\)
\(230\) 6.83632 11.0538i 0.450774 0.728869i
\(231\) 0.0524028 2.70722i 0.00344785 0.178122i
\(232\) −2.56781 17.2118i −0.168585 1.13001i
\(233\) −21.5501 + 7.00205i −1.41179 + 0.458719i −0.912985 0.407993i \(-0.866229\pi\)
−0.498808 + 0.866712i \(0.666229\pi\)
\(234\) 11.5157 13.0668i 0.752802 0.854205i
\(235\) −8.50325 17.8783i −0.554691 1.16625i
\(236\) 2.80636 + 13.6030i 0.182679 + 0.885479i
\(237\) −1.37467 1.97120i −0.0892945 0.128043i
\(238\) −0.345834 + 6.24126i −0.0224171 + 0.404561i
\(239\) −3.96456 + 2.88042i −0.256446 + 0.186319i −0.708579 0.705632i \(-0.750663\pi\)
0.452133 + 0.891951i \(0.350663\pi\)
\(240\) 3.12605 + 15.1733i 0.201786 + 0.979430i
\(241\) 1.64879 + 1.19792i 0.106208 + 0.0771647i 0.639622 0.768690i \(-0.279091\pi\)
−0.533414 + 0.845855i \(0.679091\pi\)
\(242\) 8.94128 10.9742i 0.574767 0.705449i
\(243\) 15.5155 + 1.50616i 0.995321 + 0.0966204i
\(244\) −10.5965 1.17794i −0.678372 0.0754100i
\(245\) −7.35963 + 6.96856i −0.470189 + 0.445205i
\(246\) 2.81358 + 0.210591i 0.179388 + 0.0134268i
\(247\) 8.90031 + 2.89189i 0.566313 + 0.184006i
\(248\) −12.0832 12.3023i −0.767283 0.781194i
\(249\) −1.87359 + 5.40789i −0.118734 + 0.342711i
\(250\) −5.18374 14.9375i −0.327848 0.944730i
\(251\) 11.1089 0.701189 0.350594 0.936527i \(-0.385980\pi\)
0.350594 + 0.936527i \(0.385980\pi\)
\(252\) 8.42998 + 4.21424i 0.531039 + 0.265472i
\(253\) −1.26403 + 3.89027i −0.0794686 + 0.244579i
\(254\) 0.817671 + 3.08856i 0.0513053 + 0.193793i
\(255\) 9.93048 4.48956i 0.621871 0.281147i
\(256\) −15.7256 + 2.95075i −0.982847 + 0.184422i
\(257\) 19.2975i 1.20375i 0.798592 + 0.601873i \(0.205579\pi\)
−0.798592 + 0.601873i \(0.794421\pi\)
\(258\) −21.0491 + 13.0101i −1.31046 + 0.809975i
\(259\) −7.12323 + 9.80429i −0.442616 + 0.609209i
\(260\) −15.0561 10.5058i −0.933739 0.651544i
\(261\) −0.714302 + 18.4441i −0.0442142 + 1.14166i
\(262\) 0.215956 3.89735i 0.0133418 0.240779i
\(263\) −14.0744 10.2256i −0.867863 0.630540i 0.0621495 0.998067i \(-0.480204\pi\)
−0.930013 + 0.367527i \(0.880204\pi\)
\(264\) −2.08953 4.40523i −0.128602 0.271123i
\(265\) −28.3378 + 13.4780i −1.74078 + 0.827946i
\(266\) −0.280170 + 5.05621i −0.0171783 + 0.310016i
\(267\) −0.151178 + 7.81009i −0.00925192 + 0.477970i
\(268\) −27.6932 12.5291i −1.69163 0.765336i
\(269\) −0.839562 + 0.272790i −0.0511890 + 0.0166323i −0.334500 0.942396i \(-0.608567\pi\)
0.283311 + 0.959028i \(0.408567\pi\)
\(270\) −0.269072 16.4295i −0.0163752 0.999866i
\(271\) 8.71696 + 2.83231i 0.529517 + 0.172051i 0.561560 0.827436i \(-0.310201\pi\)
−0.0320428 + 0.999486i \(0.510201\pi\)
\(272\) 4.45458 + 10.3366i 0.270098 + 0.626748i
\(273\) −10.6871 + 3.24518i −0.646814 + 0.196407i
\(274\) −19.4301 + 12.5355i −1.17381 + 0.757296i
\(275\) 2.70100 + 4.17939i 0.162876 + 0.252027i
\(276\) −10.3357 9.79183i −0.622139 0.589399i
\(277\) 9.27646 6.73974i 0.557369 0.404952i −0.273126 0.961978i \(-0.588058\pi\)
0.830495 + 0.557026i \(0.188058\pi\)
\(278\) 3.35586 + 12.6760i 0.201271 + 0.760254i
\(279\) 10.1698 + 15.2017i 0.608851 + 0.910104i
\(280\) 3.41051 9.33071i 0.203817 0.557616i
\(281\) −5.72566 + 1.86038i −0.341564 + 0.110981i −0.474776 0.880107i \(-0.657471\pi\)
0.133212 + 0.991088i \(0.457471\pi\)
\(282\) −21.0683 + 5.14349i −1.25460 + 0.306291i
\(283\) −16.3522 + 5.31316i −0.972039 + 0.315835i −0.751639 0.659575i \(-0.770736\pi\)
−0.220400 + 0.975410i \(0.570736\pi\)
\(284\) 13.4863 7.67902i 0.800267 0.455666i
\(285\) 8.04494 3.63711i 0.476541 0.215444i
\(286\) 5.38805 + 2.08681i 0.318602 + 0.123396i
\(287\) −1.46376 1.06348i −0.0864030 0.0627755i
\(288\) 16.9705 + 0.0224176i 0.999999 + 0.00132097i
\(289\) −7.34747 + 5.33825i −0.432204 + 0.314014i
\(290\) 19.4025 1.44697i 1.13935 0.0849691i
\(291\) −16.5665 + 11.5531i −0.971147 + 0.677257i
\(292\) −2.14838 0.238821i −0.125725 0.0139760i
\(293\) 3.90973i 0.228409i 0.993457 + 0.114204i \(0.0364318\pi\)
−0.993457 + 0.114204i \(0.963568\pi\)
\(294\) 5.83737 + 9.44431i 0.340442 + 0.550804i
\(295\) −15.3983 + 2.00989i −0.896521 + 0.117020i
\(296\) −3.60715 + 21.5215i −0.209661 + 1.25091i
\(297\) 1.30996 + 5.00277i 0.0760114 + 0.290290i
\(298\) −2.12287 + 5.48116i −0.122975 + 0.317515i
\(299\) 16.8726 0.975767
\(300\) −17.1754 + 2.23714i −0.991624 + 0.129161i
\(301\) 15.8683 0.914636
\(302\) −8.33725 + 21.5264i −0.479755 + 1.23870i
\(303\) −6.96488 + 9.20624i −0.400122 + 0.528885i
\(304\) 3.60877 + 8.37395i 0.206977 + 0.480279i
\(305\) 2.18526 11.7182i 0.125127 0.670983i
\(306\) −2.60643 11.6504i −0.149000 0.666007i
\(307\) 10.2407i 0.584465i −0.956347 0.292232i \(-0.905602\pi\)
0.956347 0.292232i \(-0.0943981\pi\)
\(308\) −0.345436 + 3.10747i −0.0196831 + 0.177065i
\(309\) −12.2930 17.6274i −0.699324 1.00279i
\(310\) 14.7112 12.4606i 0.835541 0.707714i
\(311\) 12.7946 9.29585i 0.725517 0.527119i −0.162625 0.986688i \(-0.551996\pi\)
0.888142 + 0.459569i \(0.151996\pi\)
\(312\) −14.6182 + 13.8123i −0.827590 + 0.781967i
\(313\) 24.6797 + 17.9309i 1.39498 + 1.01351i 0.995298 + 0.0968599i \(0.0308799\pi\)
0.399683 + 0.916653i \(0.369120\pi\)
\(314\) −22.2857 8.63134i −1.25766 0.487095i
\(315\) −5.39248 + 9.05271i −0.303832 + 0.510062i
\(316\) 1.37307 + 2.41146i 0.0772411 + 0.135655i
\(317\) −30.2290 + 9.82199i −1.69783 + 0.551658i −0.988233 0.152953i \(-0.951122\pi\)
−0.709594 + 0.704610i \(0.751122\pi\)
\(318\) 8.15264 + 33.3940i 0.457177 + 1.87264i
\(319\) −5.82368 + 1.89223i −0.326063 + 0.105944i
\(320\) −1.99624 17.7768i −0.111593 0.993754i
\(321\) 17.1261 + 12.9566i 0.955888 + 0.723166i
\(322\) 2.33662 + 8.82600i 0.130215 + 0.491854i
\(323\) 5.18953 3.77041i 0.288753 0.209791i
\(324\) −17.6824 3.36633i −0.982356 0.187018i
\(325\) 12.9528 15.9232i 0.718492 0.883259i
\(326\) 6.60203 4.25935i 0.365652 0.235904i
\(327\) −7.08766 23.3413i −0.391949 1.29078i
\(328\) −3.21312 0.538539i −0.177415 0.0297359i
\(329\) 13.2265 + 4.29756i 0.729202 + 0.236932i
\(330\) 5.08376 1.96738i 0.279852 0.108301i
\(331\) −13.6290 + 4.42832i −0.749116 + 0.243403i −0.658601 0.752492i \(-0.728851\pi\)
−0.0905153 + 0.995895i \(0.528851\pi\)
\(332\) 2.72409 6.02109i 0.149504 0.330450i
\(333\) 7.99884 21.7193i 0.438333 1.19021i
\(334\) 1.28629 23.2137i 0.0703827 1.27019i
\(335\) 16.2485 29.8472i 0.887750 1.63073i
\(336\) −9.24958 5.73391i −0.504606 0.312810i
\(337\) −7.26102 5.27544i −0.395533 0.287371i 0.372186 0.928158i \(-0.378608\pi\)
−0.767719 + 0.640787i \(0.778608\pi\)
\(338\) 0.301463 5.44049i 0.0163974 0.295924i
\(339\) 7.16157 2.17463i 0.388963 0.118110i
\(340\) −11.8918 + 4.11640i −0.644926 + 0.223243i
\(341\) −3.56645 + 4.90880i −0.193134 + 0.265826i
\(342\) −2.11154 9.43827i −0.114179 0.510363i
\(343\) 18.1152i 0.978131i
\(344\) 25.5746 12.7428i 1.37889 0.687047i
\(345\) 11.7683 10.7187i 0.633584 0.577077i
\(346\) 4.02018 + 15.1853i 0.216126 + 0.816365i
\(347\) −9.78926 + 30.1282i −0.525515 + 1.61737i 0.237780 + 0.971319i \(0.423580\pi\)
−0.763295 + 0.646050i \(0.776420\pi\)
\(348\) 2.76427 21.1334i 0.148181 1.13287i
\(349\) −10.3335 −0.553140 −0.276570 0.960994i \(-0.589198\pi\)
−0.276570 + 0.960994i \(0.589198\pi\)
\(350\) 10.1232 + 4.57043i 0.541105 + 0.244300i
\(351\) 17.9560 11.5157i 0.958419 0.614663i
\(352\) 1.93867 + 5.28562i 0.103332 + 0.281725i
\(353\) −11.2745 3.66330i −0.600080 0.194978i −0.00680389 0.999977i \(-0.502166\pi\)
−0.593276 + 0.804999i \(0.702166\pi\)
\(354\) −1.26969 + 16.9636i −0.0674832 + 0.901604i
\(355\) 7.45251 + 15.6691i 0.395538 + 0.831630i
\(356\) 0.996555 8.96479i 0.0528173 0.475133i
\(357\) −2.50620 + 7.23384i −0.132642 + 0.382855i
\(358\) 11.8864 14.5889i 0.628213 0.771046i
\(359\) 1.20428 + 0.874957i 0.0635592 + 0.0461785i 0.619111 0.785303i \(-0.287493\pi\)
−0.555552 + 0.831482i \(0.687493\pi\)
\(360\) −1.42128 + 18.9204i −0.0749082 + 0.997190i
\(361\) −11.1671 + 8.11341i −0.587745 + 0.427022i
\(362\) −1.49150 + 26.9170i −0.0783914 + 1.41473i
\(363\) 14.2205 9.91705i 0.746381 0.520510i
\(364\) 12.6308 2.60580i 0.662034 0.136581i
\(365\) 0.443049 2.37580i 0.0231903 0.124355i
\(366\) −12.0830 4.95081i −0.631590 0.258783i
\(367\) 32.6121 10.5963i 1.70234 0.553123i 0.713309 0.700850i \(-0.247196\pi\)
0.989028 + 0.147727i \(0.0471958\pi\)
\(368\) 10.8534 + 12.3483i 0.565775 + 0.643697i
\(369\) 3.24265 + 1.19421i 0.168806 + 0.0621680i
\(370\) −23.6998 5.79271i −1.23209 0.301148i
\(371\) 6.81180 20.9646i 0.353651 1.08843i
\(372\) −10.0928 18.5515i −0.523286 0.961853i
\(373\) 29.9675 21.7726i 1.55166 1.12734i 0.609200 0.793017i \(-0.291491\pi\)
0.942457 0.334328i \(-0.108509\pi\)
\(374\) 3.32802 2.14710i 0.172088 0.111024i
\(375\) −1.08127 19.3347i −0.0558367 0.998440i
\(376\) 24.7679 3.69509i 1.27731 0.190560i
\(377\) 14.8463 + 20.4342i 0.764623 + 1.05241i
\(378\) 8.51048 + 7.79796i 0.437732 + 0.401084i
\(379\) −16.3491 5.31214i −0.839797 0.272866i −0.142630 0.989776i \(-0.545556\pi\)
−0.697166 + 0.716910i \(0.745556\pi\)
\(380\) −9.63390 + 3.33480i −0.494208 + 0.171072i
\(381\) −0.0757287 + 3.91228i −0.00387970 + 0.200432i
\(382\) 4.05561 + 6.28622i 0.207503 + 0.321631i
\(383\) 1.75239 + 5.39331i 0.0895430 + 0.275585i 0.985793 0.167964i \(-0.0537192\pi\)
−0.896250 + 0.443549i \(0.853719\pi\)
\(384\) −19.5118 1.81346i −0.995709 0.0925428i
\(385\) −3.43641 0.640836i −0.175136 0.0326600i
\(386\) 17.5007 + 6.77809i 0.890762 + 0.344996i
\(387\) −29.1642 + 8.24283i −1.48250 + 0.419007i
\(388\) 20.2666 11.5397i 1.02888 0.585838i
\(389\) −17.8309 24.5422i −0.904063 1.24434i −0.969154 0.246457i \(-0.920734\pi\)
0.0650902 0.997879i \(-0.479266\pi\)
\(390\) −14.1980 17.4357i −0.718944 0.882892i
\(391\) 6.79785 9.35644i 0.343782 0.473175i
\(392\) −5.71744 11.4748i −0.288774 0.579564i
\(393\) 1.56500 4.51717i 0.0789436 0.227861i
\(394\) 5.77022 + 4.70131i 0.290700 + 0.236849i
\(395\) −2.80176 + 1.33257i −0.140972 + 0.0670487i
\(396\) −0.979306 5.89061i −0.0492120 0.296014i
\(397\) −2.62653 + 8.08362i −0.131822 + 0.405705i −0.995082 0.0990535i \(-0.968419\pi\)
0.863261 + 0.504759i \(0.168419\pi\)
\(398\) −9.25695 + 23.9010i −0.464009 + 1.19805i
\(399\) −2.03034 + 5.86033i −0.101644 + 0.293383i
\(400\) 19.9854 0.763192i 0.999272 0.0381596i
\(401\) 19.1054i 0.954078i 0.878882 + 0.477039i \(0.158290\pi\)
−0.878882 + 0.477039i \(0.841710\pi\)
\(402\) −28.4000 24.0683i −1.41646 1.20042i
\(403\) 23.8030 + 7.73407i 1.18571 + 0.385262i
\(404\) 8.97860 9.85244i 0.446702 0.490177i
\(405\) 5.20832 19.4390i 0.258803 0.965930i
\(406\) −8.63305 + 10.5959i −0.428451 + 0.525866i
\(407\) 7.67844 0.380606
\(408\) 1.76984 + 13.6712i 0.0876202 + 0.676823i
\(409\) 5.88965 + 4.27908i 0.291225 + 0.211587i 0.723798 0.690011i \(-0.242395\pi\)
−0.432574 + 0.901598i \(0.642395\pi\)
\(410\) 0.864839 3.53832i 0.0427113 0.174745i
\(411\) −27.0978 + 8.22835i −1.33664 + 0.405874i
\(412\) 12.2787 + 21.5645i 0.604926 + 1.06241i
\(413\) 6.41193 8.82526i 0.315510 0.434263i
\(414\) −8.87911 15.0074i −0.436384 0.737574i
\(415\) 6.48941 + 3.53276i 0.318552 + 0.173417i
\(416\) 18.2642 14.3427i 0.895476 0.703207i
\(417\) −0.310804 + 16.0567i −0.0152201 + 0.786298i
\(418\) 2.69612 1.73942i 0.131871 0.0850780i
\(419\) −1.07420 3.30606i −0.0524783 0.161512i 0.921383 0.388657i \(-0.127061\pi\)
−0.973861 + 0.227145i \(0.927061\pi\)
\(420\) 7.15435 9.84153i 0.349097 0.480218i
\(421\) 0.315417 0.970755i 0.0153725 0.0473117i −0.943076 0.332577i \(-0.892082\pi\)
0.958449 + 0.285266i \(0.0920818\pi\)
\(422\) −2.05618 7.76673i −0.100093 0.378078i
\(423\) −26.5412 1.02788i −1.29048 0.0499775i
\(424\) −5.85686 39.2581i −0.284434 1.90654i
\(425\) −3.61137 13.5981i −0.175177 0.659606i
\(426\) 18.4649 4.50792i 0.894627 0.218409i
\(427\) 4.92190 + 6.77442i 0.238188 + 0.327837i
\(428\) −18.3282 16.7027i −0.885929 0.807354i
\(429\) 5.64355 + 4.26957i 0.272473 + 0.206137i
\(430\) 12.1041 + 29.5642i 0.583710 + 1.42571i
\(431\) 11.2989 + 34.7745i 0.544250 + 1.67503i 0.722766 + 0.691093i \(0.242871\pi\)
−0.178515 + 0.983937i \(0.557129\pi\)
\(432\) 19.9781 + 5.73356i 0.961199 + 0.275856i
\(433\) −0.130655 0.402115i −0.00627888 0.0193244i 0.947868 0.318663i \(-0.103234\pi\)
−0.954147 + 0.299339i \(0.903234\pi\)
\(434\) −0.749286 + 13.5224i −0.0359669 + 0.649094i
\(435\) 23.3363 + 4.82097i 1.11889 + 0.231148i
\(436\) 5.69122 + 27.5865i 0.272560 + 1.32115i
\(437\) 5.50712 7.57990i 0.263441 0.362596i
\(438\) −2.44977 1.00375i −0.117055 0.0479610i
\(439\) 15.5259 + 21.3696i 0.741013 + 1.01992i 0.998560 + 0.0536511i \(0.0170859\pi\)
−0.257547 + 0.966266i \(0.582914\pi\)
\(440\) −6.05299 + 1.72674i −0.288565 + 0.0823191i
\(441\) 3.69839 + 13.0854i 0.176114 + 0.623113i
\(442\) −12.6651 10.3189i −0.602416 0.490821i
\(443\) 6.19481 0.294324 0.147162 0.989112i \(-0.452986\pi\)
0.147162 + 0.989112i \(0.452986\pi\)
\(444\) −11.4857 + 24.1321i −0.545086 + 1.14526i
\(445\) 9.91377 + 1.84876i 0.469958 + 0.0876395i
\(446\) −5.71231 21.5769i −0.270486 1.02169i
\(447\) −4.34334 + 5.74107i −0.205433 + 0.271543i
\(448\) 10.0319 + 7.56769i 0.473965 + 0.357540i
\(449\) 14.2216i 0.671160i −0.942012 0.335580i \(-0.891068\pi\)
0.942012 0.335580i \(-0.108932\pi\)
\(450\) −20.9793 3.14145i −0.988974 0.148089i
\(451\) 1.14637i 0.0539807i
\(452\) −8.46407 + 1.74618i −0.398116 + 0.0821333i
\(453\) −17.0578 + 22.5472i −0.801445 + 1.05936i
\(454\) −35.2991 + 9.34516i −1.65667 + 0.438590i
\(455\) 1.86625 + 14.2978i 0.0874909 + 0.670290i
\(456\) 1.43379 + 11.0754i 0.0671436 + 0.518651i
\(457\) −11.1600 −0.522044 −0.261022 0.965333i \(-0.584060\pi\)
−0.261022 + 0.965333i \(0.584060\pi\)
\(458\) 0.619520 0.760376i 0.0289483 0.0355300i
\(459\) 0.848486 14.5968i 0.0396039 0.681321i
\(460\) −14.6613 + 11.0856i −0.683588 + 0.516871i
\(461\) −10.3727 14.2768i −0.483104 0.664935i 0.495994 0.868326i \(-0.334804\pi\)
−0.979098 + 0.203391i \(0.934804\pi\)
\(462\) −1.45184 + 3.54340i −0.0675459 + 0.164854i
\(463\) −9.60222 + 13.2163i −0.446253 + 0.614215i −0.971587 0.236681i \(-0.923940\pi\)
0.525334 + 0.850896i \(0.323940\pi\)
\(464\) −5.40479 + 24.0098i −0.250911 + 1.11463i
\(465\) 21.5154 9.72710i 0.997754 0.451083i
\(466\) 31.9957 + 1.77291i 1.48217 + 0.0821286i
\(467\) −9.19796 28.3084i −0.425631 1.30996i −0.902389 0.430922i \(-0.858188\pi\)
0.476758 0.879035i \(-0.341812\pi\)
\(468\) −21.8604 + 11.3502i −1.01050 + 0.524665i
\(469\) 7.37697 + 22.7040i 0.340637 + 1.04837i
\(470\) 2.08220 + 27.9203i 0.0960448 + 1.28787i
\(471\) −23.3425 17.6595i −1.07557 0.813707i
\(472\) 3.24695 19.3724i 0.149453 0.891688i
\(473\) −5.90969 8.13399i −0.271728 0.374001i
\(474\) 0.806050 + 3.30166i 0.0370231 + 0.151650i
\(475\) −2.92567 11.0162i −0.134239 0.505458i
\(476\) 3.64386 8.05408i 0.167016 0.369158i
\(477\) −1.62924 + 42.0688i −0.0745976 + 1.92620i
\(478\) 6.69951 1.77364i 0.306428 0.0811245i
\(479\) 10.5598 32.4997i 0.482489 1.48495i −0.353097 0.935587i \(-0.614871\pi\)
0.835585 0.549361i \(-0.185129\pi\)
\(480\) 3.62739 21.6065i 0.165567 0.986199i
\(481\) −9.78732 30.1223i −0.446263 1.37346i
\(482\) −1.56251 2.42190i −0.0711704 0.110315i
\(483\) −0.216406 + 11.1799i −0.00984681 + 0.508703i
\(484\) −17.3966 + 9.90548i −0.790754 + 0.450249i
\(485\) 11.1993 + 23.5468i 0.508533 + 1.06920i
\(486\) −19.6919 9.91098i −0.893245 0.449571i
\(487\) −0.421517 + 0.580168i −0.0191007 + 0.0262899i −0.818461 0.574563i \(-0.805172\pi\)
0.799360 + 0.600853i \(0.205172\pi\)
\(488\) 13.3726 + 6.96569i 0.605349 + 0.315322i
\(489\) 9.20741 2.79586i 0.416374 0.126433i
\(490\) 13.2648 5.43085i 0.599244 0.245341i
\(491\) −35.1156 25.5129i −1.58474 1.15138i −0.910992 0.412425i \(-0.864682\pi\)
−0.673751 0.738958i \(-0.735318\pi\)
\(492\) −3.60288 1.71479i −0.162430 0.0773085i
\(493\) 17.3129 0.779735
\(494\) −10.2603 8.35963i −0.461633 0.376117i
\(495\) 6.64862 0.607267i 0.298833 0.0272946i
\(496\) 9.65131 + 22.3953i 0.433357 + 1.00558i
\(497\) −11.5921 3.76651i −0.519978 0.168951i
\(498\) 5.23295 6.17475i 0.234494 0.276697i
\(499\) 11.5491i 0.517011i 0.966010 + 0.258505i \(0.0832300\pi\)
−0.966010 + 0.258505i \(0.916770\pi\)
\(500\) −0.793383 + 22.3466i −0.0354812 + 0.999370i
\(501\) 9.32153 26.9054i 0.416455 1.20205i
\(502\) −14.6500 5.67399i −0.653861 0.253243i
\(503\) −7.24929 + 22.3110i −0.323230 + 0.994799i 0.649003 + 0.760785i \(0.275186\pi\)
−0.972233 + 0.234014i \(0.924814\pi\)
\(504\) −8.96464 9.86326i −0.399317 0.439344i
\(505\) 10.2468 + 10.8218i 0.455975 + 0.481563i
\(506\) 3.65394 4.48471i 0.162437 0.199370i
\(507\) 2.18465 6.30572i 0.0970237 0.280047i
\(508\) 0.499200 4.49069i 0.0221484 0.199242i
\(509\) −9.19758 + 12.6594i −0.407676 + 0.561117i −0.962650 0.270750i \(-0.912728\pi\)
0.554974 + 0.831868i \(0.312728\pi\)
\(510\) −15.3890 + 0.848553i −0.681436 + 0.0375746i
\(511\) 0.997889 + 1.37348i 0.0441440 + 0.0607590i
\(512\) 22.2453 + 4.14065i 0.983114 + 0.182993i
\(513\) 0.687381 11.8253i 0.0303486 0.522098i
\(514\) 9.85641 25.4488i 0.434747 1.12250i
\(515\) −25.0547 + 11.9165i −1.10404 + 0.525102i
\(516\) 34.4038 6.40614i 1.51454 0.282015i
\(517\) −2.72293 8.38031i −0.119754 0.368566i
\(518\) 14.4015 9.29123i 0.632764 0.408233i
\(519\) −0.372330 + 19.2352i −0.0163435 + 0.844331i
\(520\) 14.4894 + 21.5447i 0.635402 + 0.944798i
\(521\) 4.44433 + 1.44405i 0.194710 + 0.0632650i 0.404748 0.914428i \(-0.367359\pi\)
−0.210039 + 0.977693i \(0.567359\pi\)
\(522\) 10.3625 23.9585i 0.453555 1.04863i
\(523\) −20.6219 28.3836i −0.901733 1.24113i −0.969912 0.243456i \(-0.921719\pi\)
0.0681785 0.997673i \(-0.478281\pi\)
\(524\) −2.27541 + 5.02937i −0.0994016 + 0.219709i
\(525\) 10.3847 + 8.78685i 0.453225 + 0.383490i
\(526\) 13.3379 + 20.6738i 0.581558 + 0.901419i
\(527\) 13.8789 10.0836i 0.604574 0.439249i
\(528\) 0.505572 + 6.87669i 0.0220022 + 0.299269i
\(529\) −1.88739 + 5.80878i −0.0820603 + 0.252556i
\(530\) 44.2548 3.30037i 1.92231 0.143359i
\(531\) −7.20009 + 19.5505i −0.312457 + 0.848419i
\(532\) 2.95199 6.52483i 0.127985 0.282887i
\(533\) 4.49719 1.46123i 0.194795 0.0632927i
\(534\) 4.18845 10.2224i 0.181252 0.442367i
\(535\) 20.1315 19.0618i 0.870361 0.824113i
\(536\) 30.1213 + 30.6674i 1.30104 + 1.32463i
\(537\) 18.9044 13.1835i 0.815785 0.568911i
\(538\) 1.24651 + 0.0690703i 0.0537409 + 0.00297783i
\(539\) −3.64955 + 2.65156i −0.157197 + 0.114211i
\(540\) −8.03668 + 21.8039i −0.345844 + 0.938292i
\(541\) −33.3320 24.2171i −1.43305 1.04118i −0.989438 0.144959i \(-0.953695\pi\)
−0.443617 0.896217i \(-0.646305\pi\)
\(542\) −10.0489 8.18741i −0.431639 0.351679i
\(543\) −10.8086 + 31.1978i −0.463843 + 1.33882i
\(544\) −0.594990 15.9067i −0.0255100 0.681994i
\(545\) −31.2272 + 4.07599i −1.33763 + 0.174596i
\(546\) 15.7512 + 1.17895i 0.674091 + 0.0504543i
\(547\) 31.5160 + 10.2402i 1.34753 + 0.437839i 0.891860 0.452311i \(-0.149400\pi\)
0.455668 + 0.890150i \(0.349400\pi\)
\(548\) 32.0262 6.60716i 1.36809 0.282244i
\(549\) −12.5649 9.89391i −0.536255 0.422262i
\(550\) −1.42730 6.89117i −0.0608601 0.293841i
\(551\) 14.0257 0.597513
\(552\) 8.62907 + 18.1921i 0.367278 + 0.774309i
\(553\) 0.673481 2.07276i 0.0286393 0.0881428i
\(554\) −15.6758 + 4.15005i −0.666001 + 0.176319i
\(555\) −25.9624 14.7921i −1.10204 0.627888i
\(556\) 2.04880 18.4306i 0.0868886 0.781631i
\(557\) 25.5884i 1.08422i −0.840309 0.542108i \(-0.817626\pi\)
0.840309 0.542108i \(-0.182374\pi\)
\(558\) −5.64710 25.2417i −0.239061 1.06857i
\(559\) −24.3766 + 33.5515i −1.03102 + 1.41908i
\(560\) −9.26339 + 10.5630i −0.391450 + 0.446368i
\(561\) 4.64137 1.40937i 0.195959 0.0595035i
\(562\) 8.50097 + 0.471047i 0.358592 + 0.0198699i
\(563\) 11.5950 + 8.42429i 0.488673 + 0.355041i 0.804674 0.593717i \(-0.202340\pi\)
−0.316001 + 0.948759i \(0.602340\pi\)
\(564\) 30.4111 + 3.97781i 1.28054 + 0.167496i
\(565\) −1.25059 9.58113i −0.0526129 0.403081i
\(566\) 24.2784 + 1.34529i 1.02050 + 0.0565467i
\(567\) 7.40009 + 12.0455i 0.310775 + 0.505862i
\(568\) −21.7074 + 3.23849i −0.910821 + 0.135884i
\(569\) 5.35218 1.73903i 0.224375 0.0729039i −0.194672 0.980868i \(-0.562364\pi\)
0.419047 + 0.907965i \(0.362364\pi\)
\(570\) −12.4670 + 0.687435i −0.522186 + 0.0287935i
\(571\) 12.2698 + 3.98670i 0.513475 + 0.166838i 0.554282 0.832329i \(-0.312993\pi\)
−0.0408073 + 0.999167i \(0.512993\pi\)
\(572\) −6.03968 5.50400i −0.252532 0.230134i
\(573\) 2.66212 + 8.76698i 0.111212 + 0.366246i
\(574\) 1.38716 + 2.15011i 0.0578990 + 0.0897438i
\(575\) −11.1542 17.2595i −0.465163 0.719771i
\(576\) −22.3686 8.69744i −0.932025 0.362393i
\(577\) −3.89369 + 2.82893i −0.162097 + 0.117770i −0.665877 0.746062i \(-0.731942\pi\)
0.503780 + 0.863832i \(0.331942\pi\)
\(578\) 12.4161 3.28707i 0.516442 0.136724i
\(579\) 18.3306 + 13.8678i 0.761793 + 0.576326i
\(580\) −26.3263 8.00181i −1.09314 0.332257i
\(581\) −4.93632 + 1.60391i −0.204793 + 0.0665414i
\(582\) 27.7481 6.77428i 1.15020 0.280803i
\(583\) −13.2831 + 4.31595i −0.550131 + 0.178748i
\(584\) 2.71122 + 1.41226i 0.112191 + 0.0584396i
\(585\) −10.8569 25.3083i −0.448879 1.04637i
\(586\) 1.99693 5.15598i 0.0824925 0.212992i
\(587\) −29.2872 21.2784i −1.20881 0.878254i −0.213690 0.976902i \(-0.568548\pi\)
−0.995122 + 0.0986480i \(0.968548\pi\)
\(588\) −2.87430 15.4363i −0.118534 0.636581i
\(589\) 11.2437 8.16899i 0.463287 0.336597i
\(590\) 21.3332 + 5.21426i 0.878272 + 0.214668i
\(591\) 5.21437 + 7.47711i 0.214491 + 0.307567i
\(592\) 15.7493 26.5393i 0.647292 1.09076i
\(593\) 7.24003i 0.297313i 0.988889 + 0.148656i \(0.0474948\pi\)
−0.988889 + 0.148656i \(0.952505\pi\)
\(594\) 0.827701 7.26652i 0.0339610 0.298149i
\(595\) 8.68052 + 4.72558i 0.355866 + 0.193730i
\(596\) 5.59912 6.14405i 0.229349 0.251670i
\(597\) −18.9395 + 25.0344i −0.775141 + 1.02459i
\(598\) −22.2509 8.61784i −0.909906 0.352410i
\(599\) −44.0719 −1.80073 −0.900365 0.435136i \(-0.856700\pi\)
−0.900365 + 0.435136i \(0.856700\pi\)
\(600\) 23.7929 + 5.82227i 0.971340 + 0.237693i
\(601\) −20.2300 −0.825200 −0.412600 0.910912i \(-0.635379\pi\)
−0.412600 + 0.910912i \(0.635379\pi\)
\(602\) −20.9265 8.10492i −0.852901 0.330332i
\(603\) −25.3516 37.8953i −1.03240 1.54322i
\(604\) 21.9896 24.1298i 0.894746 0.981826i
\(605\) −9.61330 20.2122i −0.390836 0.821744i
\(606\) 13.8872 8.58343i 0.564128 0.348678i
\(607\) 28.7003i 1.16491i 0.812863 + 0.582455i \(0.197908\pi\)
−0.812863 + 0.582455i \(0.802092\pi\)
\(608\) −0.482017 12.8864i −0.0195484 0.522614i
\(609\) −13.7303 + 9.57518i −0.556378 + 0.388006i
\(610\) −8.86702 + 14.3374i −0.359015 + 0.580502i
\(611\) −29.4049 + 21.3639i −1.18960 + 0.864292i
\(612\) −2.51329 + 16.6953i −0.101594 + 0.674867i
\(613\) 0.690458 + 0.501647i 0.0278873 + 0.0202613i 0.601642 0.798766i \(-0.294514\pi\)
−0.573754 + 0.819027i \(0.694514\pi\)
\(614\) −5.23052 + 13.5049i −0.211086 + 0.545015i
\(615\) 2.20842 3.87613i 0.0890523 0.156301i
\(616\) 2.04272 3.92157i 0.0823035 0.158004i
\(617\) 17.8509 5.80010i 0.718649 0.233503i 0.0732117 0.997316i \(-0.476675\pi\)
0.645437 + 0.763813i \(0.276675\pi\)
\(618\) 7.20810 + 29.5251i 0.289952 + 1.18767i
\(619\) −3.08633 + 1.00281i −0.124050 + 0.0403063i −0.370384 0.928879i \(-0.620774\pi\)
0.246334 + 0.969185i \(0.420774\pi\)
\(620\) −25.7649 + 8.91861i −1.03474 + 0.358180i
\(621\) −5.40969 20.6598i −0.217083 0.829049i
\(622\) −21.6210 + 5.72399i −0.866922 + 0.229511i
\(623\) −5.73125 + 4.16400i −0.229618 + 0.166827i
\(624\) 26.3326 10.7487i 1.05415 0.430293i
\(625\) −24.8512 2.72324i −0.994049 0.108929i
\(626\) −23.3882 36.2519i −0.934782 1.44892i
\(627\) 3.76010 1.14177i 0.150164 0.0455977i
\(628\) 24.9809 + 22.7653i 0.996848 + 0.908435i
\(629\) −20.6471 6.70865i −0.823253 0.267491i
\(630\) 11.7351 9.18407i 0.467539 0.365902i
\(631\) −1.45740 + 0.473539i −0.0580183 + 0.0188513i −0.337882 0.941188i \(-0.609711\pi\)
0.279864 + 0.960040i \(0.409711\pi\)
\(632\) −0.579067 3.88145i −0.0230341 0.154396i
\(633\) 0.190434 9.83812i 0.00756905 0.391030i
\(634\) 44.8814 + 2.48692i 1.78247 + 0.0987682i
\(635\) 4.96606 + 0.926090i 0.197072 + 0.0367508i
\(636\) 6.30498 48.2027i 0.250009 1.91136i
\(637\) 15.0539 + 10.9373i 0.596456 + 0.433351i
\(638\) 8.64650 + 0.479111i 0.342318 + 0.0189682i
\(639\) 23.2615 + 0.900870i 0.920212 + 0.0356379i
\(640\) −6.44712 + 24.4629i −0.254845 + 0.966982i
\(641\) 5.50841 7.58167i 0.217569 0.299458i −0.686256 0.727360i \(-0.740747\pi\)
0.903825 + 0.427902i \(0.140747\pi\)
\(642\) −15.9675 25.8340i −0.630188 1.01958i
\(643\) 27.3784i 1.07970i −0.841762 0.539848i \(-0.818482\pi\)
0.841762 0.539848i \(-0.181518\pi\)
\(644\) 1.42654 12.8328i 0.0562134 0.505684i
\(645\) 4.31222 + 38.8874i 0.169794 + 1.53119i
\(646\) −8.76951 + 2.32166i −0.345032 + 0.0913445i
\(647\) −6.66658 + 20.5176i −0.262090 + 0.806632i 0.730259 + 0.683170i \(0.239399\pi\)
−0.992349 + 0.123461i \(0.960601\pi\)
\(648\) 21.5995 + 13.4708i 0.848507 + 0.529185i
\(649\) −6.91169 −0.271308
\(650\) −25.2145 + 14.3831i −0.988996 + 0.564150i
\(651\) −5.42995 + 15.6729i −0.212817 + 0.614268i
\(652\) −10.8820 + 2.24501i −0.426172 + 0.0879213i
\(653\) 6.60074 + 2.14471i 0.258307 + 0.0839290i 0.435308 0.900282i \(-0.356640\pi\)
−0.177001 + 0.984211i \(0.556640\pi\)
\(654\) −2.57489 + 34.4017i −0.100686 + 1.34521i
\(655\) −5.42054 2.95088i −0.211798 0.115301i
\(656\) 3.96226 + 2.35133i 0.154700 + 0.0918042i
\(657\) −2.54746 2.00594i −0.0993858 0.0782591i
\(658\) −15.2476 12.4230i −0.594412 0.484300i
\(659\) 36.1492 + 26.2639i 1.40817 + 1.02310i 0.993585 + 0.113087i \(0.0360738\pi\)
0.414587 + 0.910010i \(0.363926\pi\)
\(660\) −7.70912 0.00208018i −0.300077 8.09710e-5i
\(661\) −18.1691 + 13.2006i −0.706695 + 0.513444i −0.882106 0.471052i \(-0.843875\pi\)
0.175411 + 0.984495i \(0.443875\pi\)
\(662\) 20.2351 + 1.12125i 0.786461 + 0.0435785i
\(663\) −11.4450 16.4115i −0.444488 0.637370i
\(664\) −6.66775 + 6.54901i −0.258759 + 0.254151i
\(665\) 7.03232 + 3.82832i 0.272702 + 0.148456i
\(666\) −21.6419 + 24.5571i −0.838607 + 0.951567i
\(667\) 24.0499 7.81427i 0.931214 0.302570i
\(668\) −13.5529 + 29.9562i −0.524378 + 1.15904i
\(669\) 0.529047 27.3315i 0.0204541 1.05670i
\(670\) −36.6726 + 31.0621i −1.41679 + 1.20004i
\(671\) 1.63950 5.04586i 0.0632922 0.194793i
\(672\) 9.26931 + 12.2860i 0.357571 + 0.473941i
\(673\) 8.80323 6.39592i 0.339339 0.246545i −0.405044 0.914297i \(-0.632744\pi\)
0.744383 + 0.667753i \(0.232744\pi\)
\(674\) 6.88104 + 10.6657i 0.265048 + 0.410826i
\(675\) −23.6502 10.7549i −0.910297 0.413956i
\(676\) −3.17634 + 7.02072i −0.122167 + 0.270028i
\(677\) −3.60029 4.95538i −0.138370 0.190451i 0.734208 0.678925i \(-0.237554\pi\)
−0.872578 + 0.488474i \(0.837554\pi\)
\(678\) −10.5551 0.790027i −0.405366 0.0303408i
\(679\) −17.4201 5.66013i −0.668522 0.217216i
\(680\) 17.7850 + 0.645342i 0.682022 + 0.0247477i
\(681\) −44.7134 0.865503i −1.71342 0.0331662i
\(682\) 7.21050 4.65192i 0.276104 0.178131i
\(683\) −4.95911 15.2626i −0.189755 0.584005i 0.810243 0.586094i \(-0.199335\pi\)
−0.999998 + 0.00208870i \(0.999335\pi\)
\(684\) −2.03609 + 13.5253i −0.0778517 + 0.517153i
\(685\) 4.73198 + 36.2529i 0.180800 + 1.38515i
\(686\) −9.25254 + 23.8896i −0.353264 + 0.912110i
\(687\) 0.985302 0.687128i 0.0375916 0.0262156i
\(688\) −40.2352 + 3.74223i −1.53395 + 0.142671i
\(689\) 33.8626 + 46.6079i 1.29006 + 1.77562i
\(690\) −20.9943 + 8.12464i −0.799238 + 0.309300i
\(691\) −15.7898 + 21.7328i −0.600673 + 0.826756i −0.995770 0.0918838i \(-0.970711\pi\)
0.395097 + 0.918640i \(0.370711\pi\)
\(692\) 2.45438 22.0791i 0.0933015 0.839320i
\(693\) −2.90143 + 3.68470i −0.110216 + 0.139970i
\(694\) 28.2980 34.7319i 1.07418 1.31841i
\(695\) 20.3816 + 3.80083i 0.773117 + 0.144174i
\(696\) −14.4395 + 26.4579i −0.547328 + 1.00289i
\(697\) 1.00159 3.08257i 0.0379378 0.116761i
\(698\) 13.6274 + 5.27794i 0.515804 + 0.199773i
\(699\) 37.0841 + 12.8480i 1.40265 + 0.485956i
\(700\) −11.0156 11.1978i −0.416351 0.423237i
\(701\) 27.5595i 1.04091i 0.853890 + 0.520453i \(0.174237\pi\)
−0.853890 + 0.520453i \(0.825763\pi\)
\(702\) −29.5614 + 6.01523i −1.11572 + 0.227030i
\(703\) −16.7268 5.43485i −0.630862 0.204979i
\(704\) 0.143043 7.96066i 0.00539112 0.300029i
\(705\) −6.93740 + 33.5811i −0.261278 + 1.26474i
\(706\) 12.9972 + 10.5896i 0.489158 + 0.398543i
\(707\) −10.4691 −0.393733
\(708\) 10.3387 21.7224i 0.388553 0.816376i
\(709\) −0.100615 0.0731008i −0.00377866 0.00274536i 0.585894 0.810387i \(-0.300743\pi\)
−0.589673 + 0.807642i \(0.700743\pi\)
\(710\) −1.82491 24.4702i −0.0684875 0.918351i
\(711\) −0.161082 + 4.15934i −0.00604106 + 0.155987i
\(712\) −5.89307 + 11.3134i −0.220852 + 0.423987i
\(713\) 14.7283 20.2717i 0.551577 0.759181i
\(714\) 6.99983 8.25962i 0.261962 0.309108i
\(715\) 6.63391 6.28141i 0.248094 0.234911i
\(716\) −23.1266 + 13.1681i −0.864283 + 0.492116i
\(717\) 8.48627 + 0.164266i 0.316926 + 0.00613463i
\(718\) −1.14126 1.76895i −0.0425913 0.0660167i
\(719\) −1.76014 5.41714i −0.0656420 0.202025i 0.912856 0.408282i \(-0.133872\pi\)
−0.978498 + 0.206256i \(0.933872\pi\)
\(720\) 11.5381 24.2254i 0.429999 0.902829i
\(721\) 6.02260 18.5357i 0.224293 0.690304i
\(722\) 18.8708 4.99589i 0.702298 0.185928i
\(723\) −1.02564 3.37767i −0.0381439 0.125617i
\(724\) 15.7151 34.7353i 0.584046 1.29093i
\(725\) 11.0881 28.6955i 0.411801 1.06572i
\(726\) −23.8186 + 5.81494i −0.883991 + 0.215813i
\(727\) −14.3353 19.7308i −0.531666 0.731775i 0.455718 0.890124i \(-0.349383\pi\)
−0.987383 + 0.158350i \(0.949383\pi\)
\(728\) −17.9879 3.01489i −0.666677 0.111739i
\(729\) −19.8575 18.2942i −0.735465 0.677563i
\(730\) −1.79774 + 2.90682i −0.0665374 + 0.107586i
\(731\) 8.78432 + 27.0353i 0.324900 + 0.999938i
\(732\) 13.4059 + 12.7005i 0.495498 + 0.469422i
\(733\) 2.05012 + 6.30962i 0.0757229 + 0.233051i 0.981752 0.190163i \(-0.0609017\pi\)
−0.906030 + 0.423214i \(0.860902\pi\)
\(734\) −48.4196 2.68298i −1.78720 0.0990305i
\(735\) 17.4480 1.93481i 0.643578 0.0713664i
\(736\) −8.00608 21.8279i −0.295108 0.804586i
\(737\) 8.89055 12.2368i 0.327488 0.450748i
\(738\) −3.66632 3.23109i −0.134959 0.118938i
\(739\) 8.27054 + 11.3834i 0.304237 + 0.418746i 0.933573 0.358387i \(-0.116673\pi\)
−0.629336 + 0.777133i \(0.716673\pi\)
\(740\) 28.2956 + 19.7441i 1.04017 + 0.725807i
\(741\) −9.27192 13.2954i −0.340612 0.488418i
\(742\) −19.6910 + 24.1680i −0.722878 + 0.887235i
\(743\) −28.6518 −1.05113 −0.525567 0.850752i \(-0.676147\pi\)
−0.525567 + 0.850752i \(0.676147\pi\)
\(744\) 3.83454 + 29.6200i 0.140581 + 1.08592i
\(745\) 6.38995 + 6.74854i 0.234110 + 0.247247i
\(746\) −50.6404 + 13.4067i −1.85408 + 0.490853i
\(747\) 8.23924 5.51198i 0.301458 0.201673i
\(748\) −5.48551 + 1.13169i −0.200570 + 0.0413786i
\(749\) 19.4755i 0.711619i
\(750\) −8.44946 + 26.0501i −0.308531 + 0.951214i
\(751\) 9.57961i 0.349565i 0.984607 + 0.174783i \(0.0559222\pi\)
−0.984607 + 0.174783i \(0.944078\pi\)
\(752\) −34.5502 7.77754i −1.25992 0.283618i
\(753\) −15.3447 11.6088i −0.559191 0.423050i
\(754\) −9.14172 34.5306i −0.332922 1.25753i
\(755\) 25.0955 + 26.5038i 0.913319 + 0.964573i
\(756\) −7.24038 14.6304i −0.263330 0.532104i
\(757\) 1.56481 0.0568739 0.0284369 0.999596i \(-0.490947\pi\)
0.0284369 + 0.999596i \(0.490947\pi\)
\(758\) 18.8473 + 15.3559i 0.684564 + 0.557751i
\(759\) 5.81133 4.05269i 0.210938 0.147103i
\(760\) 14.4081 + 0.522808i 0.522636 + 0.0189643i
\(761\) −24.2691 33.4036i −0.879755 1.21088i −0.976489 0.215568i \(-0.930840\pi\)
0.0967340 0.995310i \(-0.469160\pi\)
\(762\) 2.09810 5.12067i 0.0760062 0.185502i
\(763\) 13.0032 17.8974i 0.470747 0.647928i
\(764\) −2.13762 10.3615i −0.0773363 0.374864i
\(765\) −18.4085 4.17597i −0.665561 0.150982i
\(766\) 0.443704 8.00752i 0.0160317 0.289323i
\(767\) 8.80998 + 27.1143i 0.318110 + 0.979042i
\(768\) 24.8051 + 12.3574i 0.895079 + 0.445908i
\(769\) −5.99771 18.4591i −0.216283 0.665650i −0.999060 0.0433482i \(-0.986197\pi\)
0.782777 0.622302i \(-0.213803\pi\)
\(770\) 4.20449 + 2.60029i 0.151519 + 0.0937080i
\(771\) 20.1660 26.6555i 0.726259 0.959976i
\(772\) −19.6172 17.8773i −0.706040 0.643419i
\(773\) 26.6662 + 36.7029i 0.959117 + 1.32011i 0.947357 + 0.320180i \(0.103743\pi\)
0.0117597 + 0.999931i \(0.496257\pi\)
\(774\) 42.6706 + 4.02560i 1.53376 +