Properties

Label 300.2.n.a.191.6
Level $300$
Weight $2$
Character 300.191
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 191.6
Character \(\chi\) \(=\) 300.191
Dual form 300.2.n.a.11.6

$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

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

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 \(0.0959358\pi\)
−0.954924 + 0.296849i \(0.904064\pi\)
\(8\) −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 0.459748 0.888049i \(-0.347940\pi\)
−0.702515 + 0.711669i \(0.747940\pi\)
\(12\) −0.634132 + 3.40557i −0.183058 + 0.983102i
\(13\) 3.32120 2.41299i 0.921135 0.669244i −0.0226710 0.999743i \(-0.507217\pi\)
0.943806 + 0.330499i \(0.107217\pi\)
\(14\) −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 0.615003 0.788524i \(-0.289155\pi\)
0.0340651 + 0.999420i \(0.489155\pi\)
\(18\) 0.398487 + 4.22389i 0.0939242 + 0.995579i
\(19\) 2.16804 + 0.704440i 0.497383 + 0.161610i 0.546957 0.837161i \(-0.315786\pi\)
−0.0495736 + 0.998770i \(0.515786\pi\)
\(20\) −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 0.877752 0.479115i \(-0.159042\pi\)
−0.184425 + 0.982847i \(0.559042\pi\)
\(24\) −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 0.289668 0.957127i \(-0.406455\pi\)
0.796931 + 0.604070i \(0.206455\pi\)
\(30\) −5.29444 + 1.40319i −0.966627 + 0.256186i
\(31\) 5.79822 + 1.88396i 1.04139 + 0.338368i 0.779284 0.626670i \(-0.215583\pi\)
0.262107 + 0.965039i \(0.415583\pi\)
\(32\) 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 −0.967530 0.252758i \(-0.918662\pi\)
−0.0585964 + 0.998282i \(0.518662\pi\)
\(38\) −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 0.858606 0.512636i \(-0.171331\pi\)
−0.752870 + 0.658170i \(0.771331\pi\)
\(42\) 3.27289 + 2.02292i 0.505019 + 0.312144i
\(43\) 10.1022i 1.54057i −0.637697 0.770287i \(-0.720113\pi\)
0.637697 0.770287i \(-0.279887\pi\)
\(44\) −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 −0.925740 0.378162i \(-0.876556\pi\)
0.526661 0.850075i \(-0.323444\pi\)
\(48\) 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 0.834281 0.551339i \(-0.185883\pi\)
0.999017 0.0443356i \(-0.0141171\pi\)
\(54\) −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 −0.158569 0.987348i \(-0.550688\pi\)
0.890023 + 0.455916i \(0.150688\pi\)
\(60\) 6.26539 4.55466i 0.808858 0.588004i
\(61\) −4.31278 3.13342i −0.552195 0.401193i 0.276399 0.961043i \(-0.410859\pi\)
−0.828594 + 0.559850i \(0.810859\pi\)
\(62\) −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 −0.768056 0.640382i \(-0.778776\pi\)
−0.997778 + 0.0666278i \(0.978776\pi\)
\(68\) 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 0.986526 + 0.163605i \(0.0523122\pi\)
−0.701952 + 0.712225i \(0.747688\pi\)
\(72\) 6.27922 + 5.70713i 0.740013 + 0.672592i
\(73\) −0.874393 0.635284i −0.102340 0.0743543i 0.535438 0.844574i \(-0.320146\pi\)
−0.637778 + 0.770220i \(0.720146\pi\)
\(74\) 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 −0.233842 0.972275i \(-0.575130\pi\)
0.382306 + 0.924036i \(0.375130\pi\)
\(80\) −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 −0.991327 0.131421i \(-0.958046\pi\)
0.879247 + 0.476366i \(0.158046\pi\)
\(84\) −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 −0.926064 0.377368i \(-0.876829\pi\)
0.645067 + 0.764126i \(0.276829\pi\)
\(90\) 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 0.949435 + 0.313964i \(0.101657\pi\)
−0.583565 + 0.812066i \(0.698343\pi\)
\(98\) −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 \(0.107586\pi\)
−0.943422 + 0.331593i \(0.892414\pi\)
\(102\) 5.25830 4.45629i 0.520649 0.441238i
\(103\) 11.8003 3.83415i 1.16272 0.377790i 0.336799 0.941577i \(-0.390656\pi\)
0.825921 + 0.563786i \(0.190656\pi\)
\(104\) 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 0.111717 0.993740i \(-0.464365\pi\)
0.979625 + 0.200833i \(0.0643649\pi\)
\(110\) −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 0.672663 0.739949i \(-0.265150\pi\)
−0.911598 + 0.411084i \(0.865150\pi\)
\(114\) 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 −0.863859 0.503733i \(-0.831959\pi\)
0.746026 + 0.665917i \(0.231959\pi\)
\(128\) 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 −0.906858 0.421435i \(-0.861526\pi\)
0.981377 + 0.192090i \(0.0615264\pi\)
\(132\) 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 0.989519 + 0.144405i \(0.0461269\pi\)
−0.168440 + 0.985712i \(0.553873\pi\)
\(138\) 9.31581 3.81699i 0.793015 0.324924i
\(139\) −5.44998 + 7.50125i −0.462261 + 0.636248i −0.974976 0.222311i \(-0.928640\pi\)
0.512715 + 0.858559i \(0.328640\pi\)
\(140\) 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 \(0.0544571\pi\)
−0.985401 + 0.170249i \(0.945543\pi\)
\(150\) 10.7538 + 5.86139i 0.878044 + 0.478580i
\(151\) 16.3232i 1.32836i 0.747571 + 0.664182i \(0.231220\pi\)
−0.747571 + 0.664182i \(0.768780\pi\)
\(152\) −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 0.661750 0.749725i \(-0.269814\pi\)
−0.917522 + 0.397684i \(0.869814\pi\)
\(164\) 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 −0.537307 0.843387i \(-0.680558\pi\)
0.930421 0.366493i \(-0.119442\pi\)
\(168\) 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 −0.981548 0.191213i \(-0.938758\pi\)
0.485170 + 0.874420i \(0.338758\pi\)
\(174\) 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 −0.978794 0.204845i \(-0.934331\pi\)
0.671456 0.741044i \(-0.265669\pi\)
\(180\) −3.89472 + 12.8387i −0.290295 + 0.956937i
\(181\) −5.89061 + 18.1294i −0.437846 + 1.34755i 0.452297 + 0.891867i \(0.350605\pi\)
−0.890142 + 0.455683i \(0.849395\pi\)
\(182\) −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 −0.731750 0.681573i \(-0.761296\pi\)
0.422092 + 0.906553i \(0.361296\pi\)
\(192\) 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 −0.481847 0.876255i \(-0.660034\pi\)
0.125228 + 0.992128i \(0.460034\pi\)
\(198\) 2.15008 3.63405i 0.152799 0.258261i
\(199\) 18.1239i 1.28477i 0.766383 + 0.642384i \(0.222054\pi\)
−0.766383 + 0.642384i \(0.777946\pi\)
\(200\) −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 −0.678455 0.734642i \(-0.737350\pi\)
0.908340 + 0.418232i \(0.137350\pi\)
\(212\) 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 −0.376215 0.926532i \(-0.622775\pi\)
0.997441 + 0.0714878i \(0.0227747\pi\)
\(224\) −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 0.996245 + 0.0865831i \(0.0275948\pi\)
0.390202 + 0.920729i \(0.372405\pi\)
\(228\) −3.77384 + 6.93670i −0.249929 + 0.459394i
\(229\) −0.214314 0.659589i −0.0141622 0.0435869i 0.943726 0.330729i \(-0.107295\pi\)
−0.957888 + 0.287142i \(0.907295\pi\)
\(230\) 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 −0.498808 0.866712i \(-0.666229\pi\)
−0.912985 + 0.407993i \(0.866229\pi\)
\(234\) 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 0.452133 0.891951i \(-0.350663\pi\)
−0.708579 + 0.705632i \(0.750663\pi\)
\(240\) 3.12605 15.1733i 0.201786 0.979430i
\(241\) 1.64879 1.19792i 0.106208 0.0771647i −0.533414 0.845855i \(-0.679091\pi\)
0.639622 + 0.768690i \(0.279091\pi\)
\(242\) 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 \(-0.794421\pi\)
0.798592 0.601873i \(-0.205579\pi\)
\(258\) −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 −0.930013 0.367527i \(-0.880204\pi\)
0.0621495 + 0.998067i \(0.480204\pi\)
\(264\) −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 0.283311 0.959028i \(-0.408567\pi\)
−0.334500 + 0.942396i \(0.608567\pi\)
\(270\) −0.269072 + 16.4295i −0.0163752 + 0.999866i
\(271\) 8.71696 2.83231i 0.529517 0.172051i −0.0320428 0.999486i \(-0.510201\pi\)
0.561560 + 0.827436i \(0.310201\pi\)
\(272\) 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 0.830495 0.557026i \(-0.188058\pi\)
−0.273126 + 0.961978i \(0.588058\pi\)
\(278\) 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 0.133212 0.991088i \(-0.457471\pi\)
−0.474776 + 0.880107i \(0.657471\pi\)
\(282\) −21.0683 5.14349i −1.25460 0.306291i
\(283\) −16.3522 5.31316i −0.972039 0.315835i −0.220400 0.975410i \(-0.570736\pi\)
−0.751639 + 0.659575i \(0.770736\pi\)
\(284\) 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 \(-0.963568\pi\)
0.993457 0.114204i \(-0.0364318\pi\)
\(294\) 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 \(0.0943981\pi\)
−0.956347 + 0.292232i \(0.905602\pi\)
\(308\) −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 0.888142 0.459569i \(-0.151996\pi\)
−0.162625 + 0.986688i \(0.551996\pi\)
\(312\) −14.6182 13.8123i −0.827590 0.781967i
\(313\) 24.6797 17.9309i 1.39498 1.01351i 0.399683 0.916653i \(-0.369120\pi\)
0.995298 0.0968599i \(-0.0308799\pi\)
\(314\) −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 −0.709594 0.704610i \(-0.751122\pi\)
−0.988233 + 0.152953i \(0.951122\pi\)
\(318\) 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 −0.0905153 0.995895i \(-0.528851\pi\)
−0.658601 + 0.752492i \(0.728851\pi\)
\(332\) 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 −0.767719 0.640787i \(-0.778608\pi\)
0.372186 + 0.928158i \(0.378608\pi\)
\(338\) 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 −0.763295 0.646050i \(-0.776420\pi\)
0.237780 0.971319i \(-0.423580\pi\)
\(348\) 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 −0.593276 0.804999i \(-0.702166\pi\)
−0.00680389 + 0.999977i \(0.502166\pi\)
\(354\) −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 −0.555552 0.831482i \(-0.687493\pi\)
0.619111 + 0.785303i \(0.287493\pi\)
\(360\) −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 0.989028 0.147727i \(-0.0471958\pi\)
0.713309 + 0.700850i \(0.247196\pi\)
\(368\) 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 0.942457 + 0.334328i \(0.108509\pi\)
0.609200 + 0.793017i \(0.291491\pi\)
\(374\) 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 −0.697166 0.716910i \(-0.745556\pi\)
−0.142630 + 0.989776i \(0.545556\pi\)
\(380\) −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 −0.896250 0.443549i \(-0.853719\pi\)
0.985793 + 0.167964i \(0.0537192\pi\)
\(384\) −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 0.0650902 + 0.997879i \(0.479266\pi\)
−0.969154 + 0.246457i \(0.920734\pi\)
\(390\) −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 0.863261 0.504759i \(-0.168419\pi\)
−0.995082 + 0.0990535i \(0.968419\pi\)
\(398\) −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 \(-0.841710\pi\)
0.878882 0.477039i \(-0.158290\pi\)
\(402\) −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 −0.432574 0.901598i \(-0.642395\pi\)
0.723798 + 0.690011i \(0.242395\pi\)
\(410\) 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 −0.973861 0.227145i \(-0.927061\pi\)
0.921383 + 0.388657i \(0.127061\pi\)
\(420\) 7.15435 + 9.84153i 0.349097 + 0.480218i
\(421\) 0.315417 + 0.970755i 0.0153725 + 0.0473117i 0.958449 0.285266i \(-0.0920818\pi\)
−0.943076 + 0.332577i \(0.892082\pi\)
\(422\) −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 −0.178515 0.983937i \(-0.557129\pi\)
0.722766 0.691093i \(-0.242871\pi\)
\(432\) 19.9781 5.73356i 0.961199 0.275856i
\(433\) −0.130655 + 0.402115i −0.00627888 + 0.0193244i −0.954147 0.299339i \(-0.903234\pi\)
0.947868 + 0.318663i \(0.103234\pi\)
\(434\) −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 −0.257547 0.966266i \(-0.582914\pi\)
0.998560 0.0536511i \(-0.0170859\pi\)
\(440\) −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 \(0.108932\pi\)
−0.942012 + 0.335580i \(0.891068\pi\)
\(450\) −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 −0.979098 0.203391i \(-0.934804\pi\)
0.495994 + 0.868326i \(0.334804\pi\)
\(462\) −1.45184 3.54340i −0.0675459 0.164854i
\(463\) −9.60222 13.2163i −0.446253 0.614215i 0.525334 0.850896i \(-0.323940\pi\)
−0.971587 + 0.236681i \(0.923940\pi\)
\(464\) −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 0.476758 + 0.879035i \(0.341812\pi\)
−0.902389 + 0.430922i \(0.858188\pi\)
\(468\) −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 0.835585 + 0.549361i \(0.185129\pi\)
−0.353097 + 0.935587i \(0.614871\pi\)
\(480\) 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 0.799360 0.600853i \(-0.205172\pi\)
−0.818461 + 0.574563i \(0.805172\pi\)
\(488\) 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 −0.673751 + 0.738958i \(0.735318\pi\)
−0.910992 + 0.412425i \(0.864682\pi\)
\(492\) −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 \(-0.916770\pi\)
0.966010 0.258505i \(-0.0832300\pi\)
\(500\) −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 −0.972233 0.234014i \(-0.924814\pi\)
0.649003 0.760785i \(-0.275186\pi\)
\(504\) −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 0.554974 0.831868i \(-0.312728\pi\)
−0.962650 + 0.270750i \(0.912728\pi\)
\(510\) −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 −0.210039 0.977693i \(-0.567359\pi\)
0.404748 + 0.914428i \(0.367359\pi\)
\(522\) 10.3625 + 23.9585i 0.453555 + 1.04863i
\(523\) −20.6219 + 28.3836i −0.901733 + 1.24113i 0.0681785 + 0.997673i \(0.478281\pi\)
−0.969912 + 0.243456i \(0.921719\pi\)
\(524\) −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 −0.443617 + 0.896217i \(0.646305\pi\)
−0.989438 + 0.144959i \(0.953695\pi\)
\(542\) −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 0.455668 0.890150i \(-0.349400\pi\)
0.891860 + 0.452311i \(0.149400\pi\)
\(548\) 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 \(0.182374\pi\)
−0.840309 + 0.542108i \(0.817626\pi\)
\(558\) −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 −0.316001 0.948759i \(-0.602340\pi\)
0.804674 + 0.593717i \(0.202340\pi\)
\(564\) 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 0.419047 0.907965i \(-0.362364\pi\)
−0.194672 + 0.980868i \(0.562364\pi\)
\(570\) −12.4670 0.687435i −0.522186 0.0287935i
\(571\) 12.2698 3.98670i 0.513475 0.166838i −0.0408073 0.999167i \(-0.512993\pi\)
0.554282 + 0.832329i \(0.312993\pi\)
\(572\) −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 0.503780 0.863832i \(-0.331942\pi\)
−0.665877 + 0.746062i \(0.731942\pi\)
\(578\) 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 −0.995122 0.0986480i \(-0.968548\pi\)
−0.213690 + 0.976902i \(0.568548\pi\)
\(588\) −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 \(-0.952505\pi\)
0.988889 0.148656i \(-0.0474948\pi\)
\(594\) 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 \(-0.802092\pi\)
0.812863 0.582455i \(-0.197908\pi\)
\(608\) −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 −0.573754 0.819027i \(-0.694514\pi\)
0.601642 + 0.798766i \(0.294514\pi\)
\(614\) −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 0.645437 0.763813i \(-0.276675\pi\)
0.0732117 + 0.997316i \(0.476675\pi\)
\(618\) 7.20810 29.5251i 0.289952 1.18767i
\(619\) −3.08633 1.00281i −0.124050 0.0403063i 0.246334 0.969185i \(-0.420774\pi\)
−0.370384 + 0.928879i \(0.620774\pi\)
\(620\) −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 0.279864 0.960040i \(-0.409711\pi\)
−0.337882 + 0.941188i \(0.609711\pi\)
\(632\) −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 0.903825 0.427902i \(-0.140747\pi\)
−0.686256 + 0.727360i \(0.740747\pi\)
\(642\) −15.9675 + 25.8340i −0.630188 + 1.01958i
\(643\) 27.3784i 1.07970i 0.841762 + 0.539848i \(0.181518\pi\)
−0.841762 + 0.539848i \(0.818482\pi\)
\(644\) 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 −0.992349 0.123461i \(-0.960601\pi\)
0.730259 0.683170i \(-0.239399\pi\)
\(648\) 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 −0.177001 0.984211i \(-0.556640\pi\)
0.435308 + 0.900282i \(0.356640\pi\)
\(654\) −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 0.414587 0.910010i \(-0.363926\pi\)
0.993585 0.113087i \(-0.0360738\pi\)
\(660\) −7.70912 + 0.00208018i −0.300077 + 8.09710e-5i
\(661\) −18.1691 13.2006i −0.706695 0.513444i 0.175411 0.984495i \(-0.443875\pi\)
−0.882106 + 0.471052i \(0.843875\pi\)
\(662\) 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 0.744383 0.667753i \(-0.232744\pi\)
−0.405044 + 0.914297i \(0.632744\pi\)
\(674\) 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 −0.872578 0.488474i \(-0.837554\pi\)
0.734208 + 0.678925i \(0.237554\pi\)
\(678\) −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 −0.999998 0.00208870i \(-0.999335\pi\)
0.810243 + 0.586094i \(0.199335\pi\)
\(684\) −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 0.395097 0.918640i \(-0.370711\pi\)
−0.995770 + 0.0918838i \(0.970711\pi\)
\(692\) 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 \(-0.825763\pi\)
0.853890 0.520453i \(-0.174237\pi\)
\(702\) −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 −0.589673 0.807642i \(-0.700743\pi\)
0.585894 + 0.810387i \(0.300743\pi\)
\(710\) −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 −0.978498 0.206256i \(-0.933872\pi\)
0.912856 + 0.408282i \(0.133872\pi\)
\(720\) 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 −0.987383 0.158350i \(-0.949383\pi\)
0.455718 + 0.890124i \(0.349383\pi\)
\(728\) −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 −0.906030 0.423214i \(-0.860902\pi\)
0.981752 + 0.190163i \(0.0609017\pi\)
\(734\) −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 −0.629336 0.777133i \(-0.716673\pi\)
0.933573 + 0.358387i \(0.116673\pi\)
\(740\) 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 \(-0.944078\pi\)
0.984607 0.174783i \(-0.0559222\pi\)
\(752\) −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 0.0967340 + 0.995310i \(0.469160\pi\)
−0.976489 + 0.215568i \(0.930840\pi\)
\(762\) 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 0.782777 + 0.622302i \(0.213803\pi\)
−0.999060 + 0.0433482i \(0.986197\pi\)
\(770\) 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 0.0117597 0.999931i \(-0.496257\pi\)
0.947357 0.320180i \(-0.103743\pi\)