Properties

Label 546.2.bu.b.71.2
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.2
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.b.323.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.38004 - 1.04666i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.68505 - 1.68505i) q^{5} +(1.60391 + 0.653816i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.809005 + 2.88886i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.38004 - 1.04666i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.68505 - 1.68505i) q^{5} +(1.60391 + 0.653816i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.809005 + 2.88886i) q^{9} +(2.06376 + 1.19151i) q^{10} +(1.39701 + 5.21372i) q^{11} +(-1.71848 - 0.216416i) q^{12} +(-3.48120 - 0.938747i) q^{13} -1.00000i q^{14} +(0.561758 + 4.08912i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.157166 - 0.272219i) q^{17} +(-1.52913 - 2.58104i) q^{18} +(3.03381 + 0.812907i) q^{19} +(-2.30183 - 0.616773i) q^{20} +(1.36818 - 1.06212i) q^{21} +(-2.69882 - 4.67450i) q^{22} +(3.97748 - 6.88919i) q^{23} +(1.71593 - 0.235733i) q^{24} +0.678813i q^{25} +(3.60555 + 0.00575899i) q^{26} +(1.90720 - 4.83349i) q^{27} +(0.258819 + 0.965926i) q^{28} +(8.99954 + 5.19588i) q^{29} +(-1.60096 - 3.80439i) q^{30} +(-1.93478 + 1.93478i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(3.52907 - 8.65733i) q^{33} +(0.222266 + 0.222266i) q^{34} +(2.06376 - 1.19151i) q^{35} +(2.14505 + 2.09732i) q^{36} +(5.26559 - 1.41091i) q^{37} -3.14083 q^{38} +(3.82164 + 4.93914i) q^{39} +2.38303 q^{40} +(-7.15363 + 1.91681i) q^{41} +(-1.04666 + 1.38004i) q^{42} +(3.91582 - 2.26080i) q^{43} +(3.81671 + 3.81671i) q^{44} +(3.50467 - 6.23110i) q^{45} +(-2.05889 + 7.68390i) q^{46} +(1.31948 - 1.31948i) q^{47} +(-1.59645 + 0.671817i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(-0.175690 - 0.655683i) q^{50} +(-0.0680263 + 0.540171i) q^{51} +(-3.48418 + 0.927621i) q^{52} +13.4414i q^{53} +(-0.591214 + 5.16241i) q^{54} +(6.43136 - 11.1394i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-3.33593 - 4.29721i) q^{57} +(-10.0377 - 2.68959i) q^{58} +(10.6210 + 2.84589i) q^{59} +(2.53105 + 3.26040i) q^{60} +(-1.00026 - 1.73250i) q^{61} +(1.36809 - 2.36961i) q^{62} +(-2.99981 + 0.0337465i) q^{63} -1.00000i q^{64} +(4.28417 + 7.44785i) q^{65} +(-1.16814 + 9.27573i) q^{66} +(0.360910 + 1.34693i) q^{67} +(-0.272219 - 0.157166i) q^{68} +(-12.6997 + 5.34427i) q^{69} +(-1.68505 + 1.68505i) q^{70} +(3.98667 - 14.8785i) q^{71} +(-2.61479 - 1.47068i) q^{72} +(10.3973 + 10.3973i) q^{73} +(-4.72100 + 2.72567i) q^{74} +(0.710487 - 0.936787i) q^{75} +(3.03381 - 0.812907i) q^{76} -5.39764 q^{77} +(-4.96976 - 3.78173i) q^{78} -0.912263 q^{79} +(-2.30183 + 0.616773i) q^{80} +(-7.69102 + 4.67420i) q^{81} +(6.41377 - 3.70299i) q^{82} +(7.71566 + 7.71566i) q^{83} +(0.653816 - 1.60391i) q^{84} +(-0.193871 + 0.723536i) q^{85} +(-3.19725 + 3.19725i) q^{86} +(-6.98137 - 16.5900i) q^{87} +(-4.67450 - 2.69882i) q^{88} +(-0.444776 - 1.65993i) q^{89} +(-1.77252 + 6.92586i) q^{90} +(1.80776 - 3.11962i) q^{91} -7.95495i q^{92} +(4.69511 - 0.645009i) q^{93} +(-0.933016 + 1.61603i) q^{94} +(-3.74234 - 6.48192i) q^{95} +(1.36818 - 1.06212i) q^{96} +(10.5820 + 2.83543i) q^{97} +(0.965926 + 0.258819i) q^{98} +(-13.9315 + 8.25370i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) −1.38004 1.04666i −0.796765 0.604290i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −1.68505 1.68505i −0.753579 0.753579i 0.221566 0.975145i \(-0.428883\pi\)
−0.975145 + 0.221566i \(0.928883\pi\)
\(6\) 1.60391 + 0.653816i 0.654793 + 0.266919i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 0.809005 + 2.88886i 0.269668 + 0.962953i
\(10\) 2.06376 + 1.19151i 0.652619 + 0.376789i
\(11\) 1.39701 + 5.21372i 0.421215 + 1.57200i 0.772052 + 0.635560i \(0.219231\pi\)
−0.350836 + 0.936437i \(0.614103\pi\)
\(12\) −1.71848 0.216416i −0.496082 0.0624739i
\(13\) −3.48120 0.938747i −0.965511 0.260362i
\(14\) 1.00000i 0.267261i
\(15\) 0.561758 + 4.08912i 0.145045 + 1.05581i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −0.157166 0.272219i −0.0381183 0.0660228i 0.846337 0.532648i \(-0.178803\pi\)
−0.884455 + 0.466625i \(0.845470\pi\)
\(18\) −1.52913 2.58104i −0.360419 0.608357i
\(19\) 3.03381 + 0.812907i 0.696004 + 0.186494i 0.589440 0.807812i \(-0.299348\pi\)
0.106564 + 0.994306i \(0.466015\pi\)
\(20\) −2.30183 0.616773i −0.514704 0.137915i
\(21\) 1.36818 1.06212i 0.298560 0.231773i
\(22\) −2.69882 4.67450i −0.575391 0.996606i
\(23\) 3.97748 6.88919i 0.829361 1.43650i −0.0691786 0.997604i \(-0.522038\pi\)
0.898540 0.438892i \(-0.144629\pi\)
\(24\) 1.71593 0.235733i 0.350264 0.0481188i
\(25\) 0.678813i 0.135763i
\(26\) 3.60555 + 0.00575899i 0.707106 + 0.00112943i
\(27\) 1.90720 4.83349i 0.367041 0.930205i
\(28\) 0.258819 + 0.965926i 0.0489122 + 0.182543i
\(29\) 8.99954 + 5.19588i 1.67117 + 0.964852i 0.966984 + 0.254838i \(0.0820223\pi\)
0.704188 + 0.710013i \(0.251311\pi\)
\(30\) −1.60096 3.80439i −0.292294 0.694583i
\(31\) −1.93478 + 1.93478i −0.347496 + 0.347496i −0.859176 0.511680i \(-0.829023\pi\)
0.511680 + 0.859176i \(0.329023\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) 3.52907 8.65733i 0.614332 1.50705i
\(34\) 0.222266 + 0.222266i 0.0381183 + 0.0381183i
\(35\) 2.06376 1.19151i 0.348839 0.201402i
\(36\) 2.14505 + 2.09732i 0.357508 + 0.349554i
\(37\) 5.26559 1.41091i 0.865658 0.231952i 0.201449 0.979499i \(-0.435435\pi\)
0.664209 + 0.747547i \(0.268768\pi\)
\(38\) −3.14083 −0.509510
\(39\) 3.82164 + 4.93914i 0.611952 + 0.790895i
\(40\) 2.38303 0.376789
\(41\) −7.15363 + 1.91681i −1.11721 + 0.299355i −0.769753 0.638341i \(-0.779621\pi\)
−0.347455 + 0.937697i \(0.612954\pi\)
\(42\) −1.04666 + 1.38004i −0.161503 + 0.212944i
\(43\) 3.91582 2.26080i 0.597157 0.344769i −0.170765 0.985312i \(-0.554624\pi\)
0.767922 + 0.640543i \(0.221291\pi\)
\(44\) 3.81671 + 3.81671i 0.575391 + 0.575391i
\(45\) 3.50467 6.23110i 0.522445 0.928878i
\(46\) −2.05889 + 7.68390i −0.303567 + 1.13293i
\(47\) 1.31948 1.31948i 0.192466 0.192466i −0.604295 0.796761i \(-0.706545\pi\)
0.796761 + 0.604295i \(0.206545\pi\)
\(48\) −1.59645 + 0.671817i −0.230428 + 0.0969684i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) −0.175690 0.655683i −0.0248463 0.0927276i
\(51\) −0.0680263 + 0.540171i −0.00952559 + 0.0756391i
\(52\) −3.48418 + 0.927621i −0.483169 + 0.128638i
\(53\) 13.4414i 1.84631i 0.384423 + 0.923157i \(0.374400\pi\)
−0.384423 + 0.923157i \(0.625600\pi\)
\(54\) −0.591214 + 5.16241i −0.0804540 + 0.702515i
\(55\) 6.43136 11.1394i 0.867205 1.50204i
\(56\) −0.500000 0.866025i −0.0668153 0.115728i
\(57\) −3.33593 4.29721i −0.441855 0.569179i
\(58\) −10.0377 2.68959i −1.31801 0.353160i
\(59\) 10.6210 + 2.84589i 1.38274 + 0.370503i 0.872114 0.489302i \(-0.162748\pi\)
0.510622 + 0.859805i \(0.329415\pi\)
\(60\) 2.53105 + 3.26040i 0.326758 + 0.420916i
\(61\) −1.00026 1.73250i −0.128070 0.221824i 0.794859 0.606794i \(-0.207545\pi\)
−0.922929 + 0.384971i \(0.874212\pi\)
\(62\) 1.36809 2.36961i 0.173748 0.300940i
\(63\) −2.99981 + 0.0337465i −0.377941 + 0.00425166i
\(64\) 1.00000i 0.125000i
\(65\) 4.28417 + 7.44785i 0.531386 + 0.923792i
\(66\) −1.16814 + 9.27573i −0.143788 + 1.14176i
\(67\) 0.360910 + 1.34693i 0.0440921 + 0.164554i 0.984461 0.175601i \(-0.0561870\pi\)
−0.940369 + 0.340155i \(0.889520\pi\)
\(68\) −0.272219 0.157166i −0.0330114 0.0190591i
\(69\) −12.6997 + 5.34427i −1.52887 + 0.643375i
\(70\) −1.68505 + 1.68505i −0.201402 + 0.201402i
\(71\) 3.98667 14.8785i 0.473131 1.76575i −0.155283 0.987870i \(-0.549629\pi\)
0.628414 0.777879i \(-0.283704\pi\)
\(72\) −2.61479 1.47068i −0.308155 0.173321i
\(73\) 10.3973 + 10.3973i 1.21691 + 1.21691i 0.968707 + 0.248206i \(0.0798411\pi\)
0.248206 + 0.968707i \(0.420159\pi\)
\(74\) −4.72100 + 2.72567i −0.548805 + 0.316853i
\(75\) 0.710487 0.936787i 0.0820399 0.108171i
\(76\) 3.03381 0.812907i 0.348002 0.0932468i
\(77\) −5.39764 −0.615119
\(78\) −4.96976 3.78173i −0.562715 0.428197i
\(79\) −0.912263 −0.102638 −0.0513188 0.998682i \(-0.516342\pi\)
−0.0513188 + 0.998682i \(0.516342\pi\)
\(80\) −2.30183 + 0.616773i −0.257352 + 0.0689573i
\(81\) −7.69102 + 4.67420i −0.854558 + 0.519356i
\(82\) 6.41377 3.70299i 0.708282 0.408927i
\(83\) 7.71566 + 7.71566i 0.846904 + 0.846904i 0.989746 0.142841i \(-0.0456239\pi\)
−0.142841 + 0.989746i \(0.545624\pi\)
\(84\) 0.653816 1.60391i 0.0713372 0.175001i
\(85\) −0.193871 + 0.723536i −0.0210283 + 0.0784785i
\(86\) −3.19725 + 3.19725i −0.344769 + 0.344769i
\(87\) −6.98137 16.5900i −0.748481 1.77863i
\(88\) −4.67450 2.69882i −0.498303 0.287695i
\(89\) −0.444776 1.65993i −0.0471461 0.175952i 0.938338 0.345719i \(-0.112365\pi\)
−0.985484 + 0.169767i \(0.945698\pi\)
\(90\) −1.77252 + 6.92586i −0.186840 + 0.730049i
\(91\) 1.80776 3.11962i 0.189505 0.327025i
\(92\) 7.95495i 0.829361i
\(93\) 4.69511 0.645009i 0.486861 0.0668843i
\(94\) −0.933016 + 1.61603i −0.0962332 + 0.166681i
\(95\) −3.74234 6.48192i −0.383956 0.665031i
\(96\) 1.36818 1.06212i 0.139639 0.108402i
\(97\) 10.5820 + 2.83543i 1.07444 + 0.287895i 0.752315 0.658803i \(-0.228937\pi\)
0.322122 + 0.946698i \(0.395604\pi\)
\(98\) 0.965926 + 0.258819i 0.0975732 + 0.0261447i
\(99\) −13.9315 + 8.25370i −1.40017 + 0.829528i
\(100\) 0.339407 + 0.587869i 0.0339407 + 0.0587869i
\(101\) −1.99214 + 3.45048i −0.198225 + 0.343336i −0.947953 0.318410i \(-0.896851\pi\)
0.749728 + 0.661746i \(0.230184\pi\)
\(102\) −0.0740983 0.539372i −0.00733683 0.0534058i
\(103\) 10.8341i 1.06752i −0.845637 0.533758i \(-0.820779\pi\)
0.845637 0.533758i \(-0.179221\pi\)
\(104\) 3.12537 1.79779i 0.306468 0.176287i
\(105\) −4.09518 0.515725i −0.399648 0.0503296i
\(106\) −3.47888 12.9834i −0.337899 1.26106i
\(107\) 0.796948 + 0.460118i 0.0770439 + 0.0444813i 0.538027 0.842928i \(-0.319170\pi\)
−0.460983 + 0.887409i \(0.652503\pi\)
\(108\) −0.765061 5.13952i −0.0736180 0.494551i
\(109\) −10.7294 + 10.7294i −1.02769 + 1.02769i −0.0280885 + 0.999605i \(0.508942\pi\)
−0.999605 + 0.0280885i \(0.991058\pi\)
\(110\) −3.32912 + 12.4244i −0.317419 + 1.18462i
\(111\) −8.74346 3.56418i −0.829892 0.338297i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) 3.00270 1.73361i 0.282470 0.163084i −0.352071 0.935973i \(-0.614522\pi\)
0.634541 + 0.772889i \(0.281189\pi\)
\(114\) 4.33446 + 3.28738i 0.405960 + 0.307892i
\(115\) −18.3109 + 4.90640i −1.70750 + 0.457524i
\(116\) 10.3918 0.964852
\(117\) −0.104399 10.8162i −0.00965166 0.999953i
\(118\) −10.9957 −1.01223
\(119\) 0.303621 0.0813550i 0.0278329 0.00745780i
\(120\) −3.28866 2.49422i −0.300213 0.227690i
\(121\) −15.7050 + 9.06727i −1.42773 + 0.824298i
\(122\) 1.41458 + 1.41458i 0.128070 + 0.128070i
\(123\) 11.8785 + 4.84215i 1.07105 + 0.436602i
\(124\) −0.708177 + 2.64295i −0.0635962 + 0.237344i
\(125\) −7.28143 + 7.28143i −0.651271 + 0.651271i
\(126\) 2.88886 0.809005i 0.257360 0.0720719i
\(127\) −6.18996 3.57378i −0.549270 0.317121i 0.199557 0.979886i \(-0.436050\pi\)
−0.748828 + 0.662765i \(0.769383\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) −7.77027 0.978546i −0.684134 0.0861562i
\(130\) −6.06584 6.08524i −0.532009 0.533711i
\(131\) 9.26094i 0.809132i 0.914509 + 0.404566i \(0.132577\pi\)
−0.914509 + 0.404566i \(0.867423\pi\)
\(132\) −1.27240 9.26200i −0.110748 0.806154i
\(133\) −1.57042 + 2.72004i −0.136172 + 0.235857i
\(134\) −0.697224 1.20763i −0.0602310 0.104323i
\(135\) −11.3584 + 4.93095i −0.977577 + 0.424389i
\(136\) 0.303621 + 0.0813550i 0.0260353 + 0.00697613i
\(137\) −4.12926 1.10643i −0.352787 0.0945289i 0.0780734 0.996948i \(-0.475123\pi\)
−0.430860 + 0.902419i \(0.641790\pi\)
\(138\) 10.8838 8.44910i 0.926489 0.719235i
\(139\) 3.34790 + 5.79873i 0.283965 + 0.491842i 0.972358 0.233496i \(-0.0750167\pi\)
−0.688393 + 0.725338i \(0.741683\pi\)
\(140\) 1.19151 2.06376i 0.100701 0.174420i
\(141\) −3.20199 + 0.439885i −0.269656 + 0.0370450i
\(142\) 15.4033i 1.29262i
\(143\) 0.0310850 19.4615i 0.00259946 1.62745i
\(144\) 2.90633 + 0.743811i 0.242194 + 0.0619843i
\(145\) −6.40936 23.9201i −0.532268 1.98645i
\(146\) −12.7341 7.35201i −1.05388 0.608457i
\(147\) 0.671817 + 1.59645i 0.0554105 + 0.131673i
\(148\) 3.85468 3.85468i 0.316853 0.316853i
\(149\) 1.76766 6.59700i 0.144812 0.540447i −0.854951 0.518708i \(-0.826413\pi\)
0.999764 0.0217390i \(-0.00692030\pi\)
\(150\) −0.443819 + 1.08875i −0.0362377 + 0.0888964i
\(151\) 1.86863 + 1.86863i 0.152067 + 0.152067i 0.779040 0.626974i \(-0.215707\pi\)
−0.626974 + 0.779040i \(0.715707\pi\)
\(152\) −2.72004 + 1.57042i −0.220624 + 0.127378i
\(153\) 0.659255 0.674256i 0.0532976 0.0545104i
\(154\) 5.21372 1.39701i 0.420134 0.112574i
\(155\) 6.52040 0.523731
\(156\) 5.77920 + 2.36660i 0.462707 + 0.189480i
\(157\) 11.2697 0.899423 0.449711 0.893174i \(-0.351527\pi\)
0.449711 + 0.893174i \(0.351527\pi\)
\(158\) 0.881178 0.236111i 0.0701028 0.0187840i
\(159\) 14.0685 18.5496i 1.11571 1.47108i
\(160\) 2.06376 1.19151i 0.163155 0.0941974i
\(161\) 5.62500 + 5.62500i 0.443312 + 0.443312i
\(162\) 6.21919 6.50552i 0.488625 0.511122i
\(163\) −5.24444 + 19.5725i −0.410776 + 1.53304i 0.382371 + 0.924009i \(0.375108\pi\)
−0.793148 + 0.609029i \(0.791559\pi\)
\(164\) −5.23682 + 5.23682i −0.408927 + 0.408927i
\(165\) −20.5347 + 8.64140i −1.59863 + 0.672732i
\(166\) −9.44972 5.45580i −0.733441 0.423452i
\(167\) 4.34679 + 16.2224i 0.336365 + 1.25533i 0.902382 + 0.430937i \(0.141817\pi\)
−0.566017 + 0.824393i \(0.691517\pi\)
\(168\) −0.216416 + 1.71848i −0.0166968 + 0.132583i
\(169\) 11.2375 + 6.53593i 0.864424 + 0.502764i
\(170\) 0.749060i 0.0574503i
\(171\) 0.105992 + 9.42190i 0.00810542 + 0.720510i
\(172\) 2.26080 3.91582i 0.172384 0.298579i
\(173\) −5.22831 9.05569i −0.397501 0.688492i 0.595916 0.803047i \(-0.296789\pi\)
−0.993417 + 0.114555i \(0.963456\pi\)
\(174\) 11.0373 + 14.2178i 0.836734 + 1.07785i
\(175\) −0.655683 0.175690i −0.0495650 0.0132809i
\(176\) 5.21372 + 1.39701i 0.392999 + 0.105304i
\(177\) −11.6787 15.0440i −0.877824 1.13078i
\(178\) 0.859240 + 1.48825i 0.0644028 + 0.111549i
\(179\) 7.06557 12.2379i 0.528106 0.914706i −0.471357 0.881942i \(-0.656236\pi\)
0.999463 0.0327637i \(-0.0104309\pi\)
\(180\) −0.0804188 7.14863i −0.00599406 0.532827i
\(181\) 5.93112i 0.440857i −0.975403 0.220428i \(-0.929254\pi\)
0.975403 0.220428i \(-0.0707455\pi\)
\(182\) −0.938747 + 3.48120i −0.0695846 + 0.258044i
\(183\) −0.432943 + 3.43784i −0.0320041 + 0.254133i
\(184\) 2.05889 + 7.68390i 0.151784 + 0.566464i
\(185\) −11.2503 6.49535i −0.827136 0.477547i
\(186\) −4.36819 + 1.83822i −0.320291 + 0.134785i
\(187\) 1.19971 1.19971i 0.0877316 0.0877316i
\(188\) 0.482964 1.80245i 0.0352238 0.131457i
\(189\) 4.17517 + 3.09321i 0.303699 + 0.224998i
\(190\) 5.29247 + 5.29247i 0.383956 + 0.383956i
\(191\) 6.94728 4.01102i 0.502688 0.290227i −0.227135 0.973863i \(-0.572936\pi\)
0.729823 + 0.683636i \(0.239603\pi\)
\(192\) −1.04666 + 1.38004i −0.0755362 + 0.0995956i
\(193\) −11.0920 + 2.97208i −0.798417 + 0.213935i −0.634889 0.772604i \(-0.718954\pi\)
−0.163528 + 0.986539i \(0.552287\pi\)
\(194\) −10.9553 −0.786543
\(195\) 1.88305 14.7624i 0.134848 1.05716i
\(196\) −1.00000 −0.0714286
\(197\) −5.05278 + 1.35389i −0.359995 + 0.0964605i −0.434283 0.900776i \(-0.642998\pi\)
0.0742879 + 0.997237i \(0.476332\pi\)
\(198\) 11.3206 11.5782i 0.804520 0.822827i
\(199\) −9.41221 + 5.43414i −0.667214 + 0.385216i −0.795020 0.606583i \(-0.792540\pi\)
0.127806 + 0.991799i \(0.459206\pi\)
\(200\) −0.479993 0.479993i −0.0339407 0.0339407i
\(201\) 0.911713 2.23657i 0.0643073 0.157755i
\(202\) 1.03121 3.84851i 0.0725554 0.270780i
\(203\) −7.34809 + 7.34809i −0.515735 + 0.515735i
\(204\) 0.211173 + 0.501815i 0.0147851 + 0.0351341i
\(205\) 15.2842 + 8.82432i 1.06749 + 0.616317i
\(206\) 2.80407 + 10.4649i 0.195369 + 0.729127i
\(207\) 23.1197 + 5.91699i 1.60693 + 0.411259i
\(208\) −2.55358 + 2.54543i −0.177059 + 0.176494i
\(209\) 16.9531i 1.17267i
\(210\) 4.08912 0.561758i 0.282176 0.0387650i
\(211\) 7.68985 13.3192i 0.529391 0.916932i −0.470022 0.882655i \(-0.655754\pi\)
0.999412 0.0342769i \(-0.0109128\pi\)
\(212\) 6.72068 + 11.6406i 0.461578 + 0.799477i
\(213\) −21.0745 + 16.3601i −1.44400 + 1.12098i
\(214\) −0.888880 0.238175i −0.0607626 0.0162813i
\(215\) −10.4079 2.78880i −0.709816 0.190195i
\(216\) 2.06920 + 4.76638i 0.140791 + 0.324311i
\(217\) −1.36809 2.36961i −0.0928722 0.160859i
\(218\) 7.58686 13.1408i 0.513847 0.890009i
\(219\) −3.46622 25.2311i −0.234226 1.70496i
\(220\) 12.8627i 0.867205i
\(221\) 0.291581 + 1.09519i 0.0196138 + 0.0736703i
\(222\) 9.36801 + 1.17976i 0.628740 + 0.0791801i
\(223\) 2.99845 + 11.1904i 0.200791 + 0.749363i 0.990691 + 0.136127i \(0.0434656\pi\)
−0.789900 + 0.613235i \(0.789868\pi\)
\(224\) −0.866025 0.500000i −0.0578638 0.0334077i
\(225\) −1.96100 + 0.549163i −0.130733 + 0.0366109i
\(226\) −2.45169 + 2.45169i −0.163084 + 0.163084i
\(227\) 0.908723 3.39140i 0.0603141 0.225095i −0.929189 0.369604i \(-0.879493\pi\)
0.989504 + 0.144509i \(0.0461601\pi\)
\(228\) −5.03761 2.05353i −0.333624 0.135998i
\(229\) 16.3831 + 16.3831i 1.08263 + 1.08263i 0.996264 + 0.0863648i \(0.0275251\pi\)
0.0863648 + 0.996264i \(0.472475\pi\)
\(230\) 16.4171 9.47843i 1.08251 0.624989i
\(231\) 7.44895 + 5.64950i 0.490105 + 0.371710i
\(232\) −10.0377 + 2.68959i −0.659006 + 0.176580i
\(233\) −17.6100 −1.15367 −0.576835 0.816861i \(-0.695712\pi\)
−0.576835 + 0.816861i \(0.695712\pi\)
\(234\) 2.90027 + 10.4206i 0.189596 + 0.681215i
\(235\) −4.44680 −0.290077
\(236\) 10.6210 2.84589i 0.691368 0.185252i
\(237\) 1.25896 + 0.954829i 0.0817780 + 0.0620228i
\(238\) −0.272219 + 0.157166i −0.0176453 + 0.0101875i
\(239\) 4.54828 + 4.54828i 0.294203 + 0.294203i 0.838738 0.544535i \(-0.183294\pi\)
−0.544535 + 0.838738i \(0.683294\pi\)
\(240\) 3.82216 + 1.55806i 0.246719 + 0.100572i
\(241\) −2.02678 + 7.56405i −0.130556 + 0.487243i −0.999977 0.00683002i \(-0.997826\pi\)
0.869420 + 0.494073i \(0.164493\pi\)
\(242\) 12.8231 12.8231i 0.824298 0.824298i
\(243\) 15.5062 + 1.59932i 0.994723 + 0.102596i
\(244\) −1.73250 1.00026i −0.110912 0.0640350i
\(245\) 0.616773 + 2.30183i 0.0394042 + 0.147058i
\(246\) −12.7270 1.60277i −0.811444 0.102189i
\(247\) −9.79819 5.67787i −0.623444 0.361274i
\(248\) 2.73619i 0.173748i
\(249\) −2.57222 18.7236i −0.163008 1.18656i
\(250\) 5.14875 8.91790i 0.325636 0.564017i
\(251\) −1.15294 1.99695i −0.0727729 0.126046i 0.827343 0.561697i \(-0.189852\pi\)
−0.900116 + 0.435651i \(0.856518\pi\)
\(252\) −2.58104 + 1.52913i −0.162590 + 0.0963262i
\(253\) 41.4749 + 11.1132i 2.60751 + 0.698679i
\(254\) 6.90400 + 1.84992i 0.433196 + 0.116074i
\(255\) 1.02485 0.795590i 0.0641783 0.0498218i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −2.50697 + 4.34221i −0.156381 + 0.270859i −0.933561 0.358419i \(-0.883316\pi\)
0.777180 + 0.629278i \(0.216649\pi\)
\(258\) 7.75877 1.06589i 0.483040 0.0663594i
\(259\) 5.45134i 0.338730i
\(260\) 7.43413 + 4.30794i 0.461045 + 0.267167i
\(261\) −7.72952 + 30.2019i −0.478445 + 1.86945i
\(262\) −2.39691 8.94539i −0.148082 0.552648i
\(263\) −8.92597 5.15341i −0.550399 0.317773i 0.198884 0.980023i \(-0.436268\pi\)
−0.749283 + 0.662250i \(0.769602\pi\)
\(264\) 3.62623 + 8.61708i 0.223179 + 0.530345i
\(265\) 22.6494 22.6494i 1.39134 1.39134i
\(266\) 0.812907 3.03381i 0.0498425 0.186015i
\(267\) −1.12357 + 2.75629i −0.0687614 + 0.168682i
\(268\) 0.986024 + 0.986024i 0.0602310 + 0.0602310i
\(269\) 22.8265 13.1789i 1.39176 0.803532i 0.398249 0.917277i \(-0.369618\pi\)
0.993510 + 0.113745i \(0.0362847\pi\)
\(270\) 9.69516 7.70271i 0.590029 0.468772i
\(271\) 24.6221 6.59747i 1.49569 0.400768i 0.584033 0.811730i \(-0.301474\pi\)
0.911653 + 0.410962i \(0.134807\pi\)
\(272\) −0.314331 −0.0190591
\(273\) −5.75995 + 2.41307i −0.348608 + 0.146046i
\(274\) 4.27493 0.258258
\(275\) −3.53914 + 0.948311i −0.213418 + 0.0571853i
\(276\) −8.32613 + 10.9781i −0.501174 + 0.660806i
\(277\) 11.5919 6.69261i 0.696493 0.402120i −0.109547 0.993982i \(-0.534940\pi\)
0.806040 + 0.591861i \(0.201607\pi\)
\(278\) −4.73464 4.73464i −0.283965 0.283965i
\(279\) −7.15454 4.02405i −0.428331 0.240914i
\(280\) −0.616773 + 2.30183i −0.0368592 + 0.137560i
\(281\) −18.2454 + 18.2454i −1.08843 + 1.08843i −0.0927370 + 0.995691i \(0.529562\pi\)
−0.995691 + 0.0927370i \(0.970438\pi\)
\(282\) 2.97903 1.25363i 0.177399 0.0746527i
\(283\) 12.5647 + 7.25421i 0.746891 + 0.431218i 0.824569 0.565761i \(-0.191417\pi\)
−0.0776784 + 0.996978i \(0.524751\pi\)
\(284\) −3.98667 14.8785i −0.236566 0.882875i
\(285\) −1.61980 + 12.8623i −0.0959489 + 0.761894i
\(286\) 5.00697 + 18.8064i 0.296068 + 1.11204i
\(287\) 7.40598i 0.437161i
\(288\) −2.99981 + 0.0337465i −0.176766 + 0.00198853i
\(289\) 8.45060 14.6369i 0.497094 0.860992i
\(290\) 12.3819 + 21.4461i 0.727092 + 1.25936i
\(291\) −11.6358 14.9887i −0.682102 0.878656i
\(292\) 14.2030 + 3.80568i 0.831167 + 0.222711i
\(293\) −13.6841 3.66665i −0.799435 0.214208i −0.164099 0.986444i \(-0.552472\pi\)
−0.635336 + 0.772236i \(0.719138\pi\)
\(294\) −1.06212 1.36818i −0.0619440 0.0797936i
\(295\) −13.1015 22.6924i −0.762798 1.32120i
\(296\) −2.72567 + 4.72100i −0.158426 + 0.274403i
\(297\) 27.8648 + 3.19116i 1.61688 + 0.185170i
\(298\) 6.82972i 0.395635i
\(299\) −20.3136 + 20.2488i −1.17477 + 1.17102i
\(300\) 0.146906 1.16652i 0.00848162 0.0673493i
\(301\) 1.17028 + 4.36753i 0.0674536 + 0.251740i
\(302\) −2.28859 1.32132i −0.131694 0.0760334i
\(303\) 6.36071 2.67670i 0.365413 0.153773i
\(304\) 2.22090 2.22090i 0.127378 0.127378i
\(305\) −1.23386 + 4.60484i −0.0706508 + 0.263672i
\(306\) −0.462281 + 0.821909i −0.0264268 + 0.0469854i
\(307\) −10.3618 10.3618i −0.591379 0.591379i 0.346625 0.938004i \(-0.387328\pi\)
−0.938004 + 0.346625i \(0.887328\pi\)
\(308\) −4.67450 + 2.69882i −0.266354 + 0.153780i
\(309\) −11.3396 + 14.9515i −0.645088 + 0.850559i
\(310\) −6.29822 + 1.68760i −0.357715 + 0.0958495i
\(311\) 6.34746 0.359931 0.179966 0.983673i \(-0.442401\pi\)
0.179966 + 0.983673i \(0.442401\pi\)
\(312\) −6.19480 0.790194i −0.350712 0.0447359i
\(313\) −19.2953 −1.09064 −0.545318 0.838229i \(-0.683591\pi\)
−0.545318 + 0.838229i \(0.683591\pi\)
\(314\) −10.8857 + 2.91682i −0.614317 + 0.164606i
\(315\) 5.11171 + 4.99798i 0.288012 + 0.281604i
\(316\) −0.790043 + 0.456131i −0.0444434 + 0.0256594i
\(317\) −19.2806 19.2806i −1.08290 1.08290i −0.996237 0.0866677i \(-0.972378\pi\)
−0.0866677 0.996237i \(-0.527622\pi\)
\(318\) −8.78819 + 21.5587i −0.492817 + 1.20895i
\(319\) −14.5174 + 54.1798i −0.812820 + 3.03349i
\(320\) −1.68505 + 1.68505i −0.0941974 + 0.0941974i
\(321\) −0.618230 1.46911i −0.0345063 0.0819979i
\(322\) −6.88919 3.97748i −0.383920 0.221656i
\(323\) −0.255522 0.953622i −0.0142176 0.0530609i
\(324\) −4.32352 + 7.89349i −0.240196 + 0.438527i
\(325\) 0.637234 2.36308i 0.0353474 0.131080i
\(326\) 20.2630i 1.12226i
\(327\) 26.0371 3.57695i 1.43986 0.197806i
\(328\) 3.70299 6.41377i 0.204463 0.354141i
\(329\) 0.933016 + 1.61603i 0.0514388 + 0.0890946i
\(330\) 17.5985 13.6617i 0.968764 0.752053i
\(331\) 18.2264 + 4.88375i 1.00181 + 0.268435i 0.722205 0.691679i \(-0.243129\pi\)
0.279608 + 0.960114i \(0.409795\pi\)
\(332\) 10.5398 + 2.82413i 0.578446 + 0.154994i
\(333\) 8.33581 + 14.0701i 0.456800 + 0.771038i
\(334\) −8.39735 14.5446i −0.459483 0.795847i
\(335\) 1.66150 2.87781i 0.0907776 0.157231i
\(336\) −0.235733 1.71593i −0.0128603 0.0936119i
\(337\) 7.09230i 0.386342i −0.981165 0.193171i \(-0.938123\pi\)
0.981165 0.193171i \(-0.0618772\pi\)
\(338\) −12.5462 3.40474i −0.682425 0.185194i
\(339\) −5.95834 0.750361i −0.323612 0.0407540i
\(340\) 0.193871 + 0.723536i 0.0105141 + 0.0392393i
\(341\) −12.7903 7.38448i −0.692633 0.399892i
\(342\) −2.54095 9.07342i −0.137399 0.490634i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) −1.17028 + 4.36753i −0.0630971 + 0.235481i
\(345\) 30.4051 + 12.3943i 1.63695 + 0.667287i
\(346\) 7.39394 + 7.39394i 0.397501 + 0.397501i
\(347\) −1.23698 + 0.714171i −0.0664046 + 0.0383387i −0.532835 0.846219i \(-0.678873\pi\)
0.466430 + 0.884558i \(0.345540\pi\)
\(348\) −14.3410 10.8767i −0.768760 0.583050i
\(349\) −1.85091 + 0.495949i −0.0990768 + 0.0265475i −0.308017 0.951381i \(-0.599665\pi\)
0.208940 + 0.977928i \(0.432999\pi\)
\(350\) 0.678813 0.0362841
\(351\) −11.1768 + 15.0360i −0.596571 + 0.802560i
\(352\) −5.39764 −0.287695
\(353\) −10.8938 + 2.91899i −0.579820 + 0.155362i −0.536796 0.843712i \(-0.680366\pi\)
−0.0430234 + 0.999074i \(0.513699\pi\)
\(354\) 15.1744 + 11.5087i 0.806512 + 0.611682i
\(355\) −31.7888 + 18.3533i −1.68717 + 0.974090i
\(356\) −1.21515 1.21515i −0.0644028 0.0644028i
\(357\) −0.504159 0.205515i −0.0266829 0.0108770i
\(358\) −3.65741 + 13.6496i −0.193300 + 0.721406i
\(359\) 7.42615 7.42615i 0.391937 0.391937i −0.483440 0.875377i \(-0.660613\pi\)
0.875377 + 0.483440i \(0.160613\pi\)
\(360\) 1.92788 + 6.88423i 0.101608 + 0.362831i
\(361\) −7.91130 4.56759i −0.416384 0.240399i
\(362\) 1.53509 + 5.72902i 0.0806824 + 0.301111i
\(363\) 31.1638 + 3.92460i 1.63568 + 0.205988i
\(364\) 0.00575899 3.60555i 0.000301853 0.188982i
\(365\) 35.0401i 1.83408i
\(366\) −0.471588 3.43275i −0.0246503 0.179433i
\(367\) 2.03209 3.51968i 0.106074 0.183726i −0.808102 0.589042i \(-0.799505\pi\)
0.914177 + 0.405316i \(0.132839\pi\)
\(368\) −3.97748 6.88919i −0.207340 0.359124i
\(369\) −11.3247 19.1151i −0.589541 0.995093i
\(370\) 12.5480 + 3.36224i 0.652342 + 0.174794i
\(371\) −12.9834 3.47888i −0.674063 0.180615i
\(372\) 3.74358 2.90615i 0.194096 0.150677i
\(373\) −8.51183 14.7429i −0.440726 0.763360i 0.557017 0.830501i \(-0.311946\pi\)
−0.997744 + 0.0671409i \(0.978612\pi\)
\(374\) −0.848325 + 1.46934i −0.0438658 + 0.0759778i
\(375\) 17.6698 2.42746i 0.912466 0.125354i
\(376\) 1.86603i 0.0962332i
\(377\) −26.4516 26.5362i −1.36233 1.36668i
\(378\) −4.83349 1.90720i −0.248608 0.0980957i
\(379\) −0.821206 3.06478i −0.0421825 0.157427i 0.941622 0.336672i \(-0.109301\pi\)
−0.983805 + 0.179245i \(0.942635\pi\)
\(380\) −6.48192 3.74234i −0.332516 0.191978i
\(381\) 4.80185 + 11.4107i 0.246006 + 0.584589i
\(382\) −5.67243 + 5.67243i −0.290227 + 0.290227i
\(383\) 9.20354 34.3481i 0.470279 1.75511i −0.168487 0.985704i \(-0.553888\pi\)
0.638766 0.769401i \(-0.279445\pi\)
\(384\) 0.653816 1.60391i 0.0333649 0.0818491i
\(385\) 9.09532 + 9.09532i 0.463540 + 0.463540i
\(386\) 9.94478 5.74162i 0.506176 0.292241i
\(387\) 9.69905 + 9.48326i 0.493031 + 0.482061i
\(388\) 10.5820 2.83543i 0.537219 0.143947i
\(389\) 19.8980 1.00887 0.504434 0.863450i \(-0.331701\pi\)
0.504434 + 0.863450i \(0.331701\pi\)
\(390\) 2.00190 + 14.7467i 0.101370 + 0.746730i
\(391\) −2.50049 −0.126455
\(392\) 0.965926 0.258819i 0.0487866 0.0130723i
\(393\) 9.69306 12.7804i 0.488950 0.644688i
\(394\) 4.53019 2.61551i 0.228228 0.131767i
\(395\) 1.53721 + 1.53721i 0.0773455 + 0.0773455i
\(396\) −7.93820 + 14.1137i −0.398910 + 0.709239i
\(397\) 8.93785 33.3565i 0.448578 1.67411i −0.257736 0.966215i \(-0.582976\pi\)
0.706314 0.707899i \(-0.250357\pi\)
\(398\) 7.68504 7.68504i 0.385216 0.385216i
\(399\) 5.01419 2.11006i 0.251023 0.105635i
\(400\) 0.587869 + 0.339407i 0.0293935 + 0.0169703i
\(401\) 0.0962543 + 0.359226i 0.00480671 + 0.0179389i 0.968288 0.249838i \(-0.0803775\pi\)
−0.963481 + 0.267777i \(0.913711\pi\)
\(402\) −0.301781 + 2.39633i −0.0150515 + 0.119518i
\(403\) 8.55160 4.91908i 0.425986 0.245037i
\(404\) 3.98427i 0.198225i
\(405\) 20.8361 + 5.08351i 1.03535 + 0.252601i
\(406\) 5.19588 8.99954i 0.257867 0.446640i
\(407\) 14.7122 + 25.4823i 0.729257 + 1.26311i
\(408\) −0.333857 0.430061i −0.0165284 0.0212912i
\(409\) 7.07285 + 1.89516i 0.349730 + 0.0937098i 0.429407 0.903111i \(-0.358722\pi\)
−0.0796777 + 0.996821i \(0.525389\pi\)
\(410\) −17.0473 4.56780i −0.841905 0.225588i
\(411\) 4.54048 + 5.84885i 0.223965 + 0.288503i
\(412\) −5.41705 9.38260i −0.266879 0.462248i
\(413\) −5.49783 + 9.52253i −0.270531 + 0.468573i
\(414\) −23.8634 + 0.268452i −1.17282 + 0.0131937i
\(415\) 26.0026i 1.27642i
\(416\) 1.80776 3.11962i 0.0886328 0.152952i
\(417\) 1.44908 11.5066i 0.0709616 0.563479i
\(418\) −4.38778 16.3754i −0.214613 0.800948i
\(419\) −6.05575 3.49629i −0.295843 0.170805i 0.344731 0.938702i \(-0.387970\pi\)
−0.640574 + 0.767897i \(0.721303\pi\)
\(420\) −3.80439 + 1.60096i −0.185635 + 0.0781187i
\(421\) −17.6307 + 17.6307i −0.859267 + 0.859267i −0.991252 0.131985i \(-0.957865\pi\)
0.131985 + 0.991252i \(0.457865\pi\)
\(422\) −3.98056 + 14.8556i −0.193771 + 0.723161i
\(423\) 4.87927 + 2.74433i 0.237238 + 0.133434i
\(424\) −9.50448 9.50448i −0.461578 0.461578i
\(425\) 0.184786 0.106686i 0.00896343 0.00517504i
\(426\) 16.1220 21.2572i 0.781116 1.02991i
\(427\) 1.93235 0.517772i 0.0935130 0.0250567i
\(428\) 0.920236 0.0444813
\(429\) −20.4124 + 26.8250i −0.985521 + 1.29512i
\(430\) 10.7751 0.519621
\(431\) 9.14787 2.45116i 0.440637 0.118068i −0.0316778 0.999498i \(-0.510085\pi\)
0.472315 + 0.881430i \(0.343418\pi\)
\(432\) −3.23232 4.06843i −0.155515 0.195742i
\(433\) −15.2953 + 8.83075i −0.735046 + 0.424379i −0.820265 0.571983i \(-0.806174\pi\)
0.0852196 + 0.996362i \(0.472841\pi\)
\(434\) 1.93478 + 1.93478i 0.0928722 + 0.0928722i
\(435\) −16.1910 + 39.7190i −0.776300 + 1.90438i
\(436\) −3.92725 + 14.6567i −0.188081 + 0.701928i
\(437\) 17.6672 17.6672i 0.845136 0.845136i
\(438\) 9.87841 + 23.4743i 0.472009 + 1.12164i
\(439\) 17.1442 + 9.89820i 0.818248 + 0.472415i 0.849812 0.527086i \(-0.176716\pi\)
−0.0315642 + 0.999502i \(0.510049\pi\)
\(440\) 3.32912 + 12.4244i 0.158709 + 0.592312i
\(441\) 0.743811 2.90633i 0.0354196 0.138397i
\(442\) −0.565101 0.982404i −0.0268791 0.0467282i
\(443\) 20.9178i 0.993835i 0.867798 + 0.496918i \(0.165535\pi\)
−0.867798 + 0.496918i \(0.834465\pi\)
\(444\) −9.35414 + 1.28506i −0.443928 + 0.0609863i
\(445\) −2.04759 + 3.54653i −0.0970652 + 0.168122i
\(446\) −5.79256 10.0330i −0.274286 0.475077i
\(447\) −9.34426 + 7.25397i −0.441968 + 0.343101i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) 6.41982 + 1.72019i 0.302970 + 0.0811806i 0.407101 0.913383i \(-0.366540\pi\)
−0.104131 + 0.994564i \(0.533206\pi\)
\(450\) 1.75204 1.03799i 0.0825921 0.0489315i
\(451\) −19.9874 34.6192i −0.941171 1.63016i
\(452\) 1.73361 3.00270i 0.0815421 0.141235i
\(453\) −0.622957 4.53460i −0.0292691 0.213054i
\(454\) 3.51104i 0.164781i
\(455\) −8.30289 + 2.21055i −0.389246 + 0.103632i
\(456\) 5.39745 + 0.679726i 0.252759 + 0.0318311i
\(457\) −3.75260 14.0049i −0.175539 0.655122i −0.996459 0.0840783i \(-0.973205\pi\)
0.820920 0.571044i \(-0.193461\pi\)
\(458\) −20.0652 11.5846i −0.937584 0.541314i
\(459\) −1.61551 + 0.240483i −0.0754057 + 0.0112248i
\(460\) −13.4045 + 13.4045i −0.624989 + 0.624989i
\(461\) −2.64045 + 9.85429i −0.122978 + 0.458960i −0.999760 0.0219289i \(-0.993019\pi\)
0.876782 + 0.480889i \(0.159686\pi\)
\(462\) −8.65733 3.52907i −0.402775 0.164187i
\(463\) 2.59471 + 2.59471i 0.120586 + 0.120586i 0.764825 0.644238i \(-0.222826\pi\)
−0.644238 + 0.764825i \(0.722826\pi\)
\(464\) 8.99954 5.19588i 0.417793 0.241213i
\(465\) −8.99839 6.82464i −0.417291 0.316485i
\(466\) 17.0100 4.55781i 0.787971 0.211136i
\(467\) 2.35099 0.108791 0.0543954 0.998519i \(-0.482677\pi\)
0.0543954 + 0.998519i \(0.482677\pi\)
\(468\) −5.49849 9.31486i −0.254168 0.430580i
\(469\) −1.39445 −0.0643896
\(470\) 4.29528 1.15092i 0.198126 0.0530878i
\(471\) −15.5526 11.7956i −0.716628 0.543512i
\(472\) −9.52253 + 5.49783i −0.438310 + 0.253058i
\(473\) 17.2576 + 17.2576i 0.793507 + 0.793507i
\(474\) −1.46319 0.596452i −0.0672064 0.0273960i
\(475\) −0.551812 + 2.05939i −0.0253189 + 0.0944913i
\(476\) 0.222266 0.222266i 0.0101875 0.0101875i
\(477\) −38.8302 + 10.8741i −1.77791 + 0.497892i
\(478\) −5.57048 3.21612i −0.254788 0.147102i
\(479\) −6.34353 23.6744i −0.289843 1.08171i −0.945227 0.326414i \(-0.894160\pi\)
0.655384 0.755296i \(-0.272507\pi\)
\(480\) −4.09518 0.515725i −0.186918 0.0235395i
\(481\) −19.6551 0.0313942i −0.896194 0.00143145i
\(482\) 7.83088i 0.356687i
\(483\) −1.87525 13.6502i −0.0853266 0.621105i
\(484\) −9.06727 + 15.7050i −0.412149 + 0.713863i
\(485\) −13.0534 22.6091i −0.592722 1.02662i
\(486\) −15.3918 + 2.46848i −0.698185 + 0.111972i
\(487\) −28.3651 7.60040i −1.28534 0.344407i −0.449454 0.893304i \(-0.648381\pi\)
−0.835890 + 0.548897i \(0.815048\pi\)
\(488\) 1.93235 + 0.517772i 0.0874734 + 0.0234384i
\(489\) 27.7233 21.5217i 1.25369 0.973243i
\(490\) −1.19151 2.06376i −0.0538271 0.0932312i
\(491\) 2.03495 3.52464i 0.0918360 0.159065i −0.816448 0.577419i \(-0.804060\pi\)
0.908284 + 0.418355i \(0.137393\pi\)
\(492\) 12.7082 1.74583i 0.572929 0.0787083i
\(493\) 3.26646i 0.147114i
\(494\) 10.9339 + 2.94845i 0.491938 + 0.132657i
\(495\) 37.3833 + 9.56744i 1.68025 + 0.430024i
\(496\) 0.708177 + 2.64295i 0.0317981 + 0.118672i
\(497\) 13.3397 + 7.70166i 0.598366 + 0.345467i
\(498\) 7.33060 + 17.4199i 0.328492 + 0.780602i
\(499\) 3.98743 3.98743i 0.178502 0.178502i −0.612201 0.790702i \(-0.709716\pi\)
0.790702 + 0.612201i \(0.209716\pi\)
\(500\) −2.66519 + 9.94662i −0.119191 + 0.444826i
\(501\) 10.9807 26.9372i 0.490579 1.20346i
\(502\) 1.63050 + 1.63050i 0.0727729 + 0.0727729i
\(503\) 0.509042 0.293895i 0.0226970 0.0131041i −0.488609 0.872503i \(-0.662495\pi\)
0.511306 + 0.859399i \(0.329162\pi\)
\(504\) 2.09732 2.14505i 0.0934222 0.0955481i
\(505\) 9.17111 2.45739i 0.408109 0.109352i
\(506\) −42.9380 −1.90883
\(507\) −8.66728 20.7817i −0.384927 0.922947i
\(508\) −7.14755 −0.317121
\(509\) −16.4316 + 4.40284i −0.728319 + 0.195153i −0.603881 0.797075i \(-0.706380\pi\)
−0.124439 + 0.992227i \(0.539713\pi\)
\(510\) −0.784011 + 1.03373i −0.0347166 + 0.0457744i
\(511\) −12.7341 + 7.35201i −0.563322 + 0.325234i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 9.71525 13.1135i 0.428939 0.578975i
\(514\) 1.29770 4.84310i 0.0572393 0.213620i
\(515\) −18.2560 + 18.2560i −0.804457 + 0.804457i
\(516\) −7.21852 + 3.03769i −0.317778 + 0.133727i
\(517\) 8.72275 + 5.03608i 0.383626 + 0.221487i
\(518\) −1.41091 5.26559i −0.0619919 0.231357i
\(519\) −2.26298 + 17.9695i −0.0993337 + 0.788772i
\(520\) −8.29579 2.23706i −0.363794 0.0981015i
\(521\) 6.59626i 0.288988i −0.989506 0.144494i \(-0.953845\pi\)
0.989506 0.144494i \(-0.0461554\pi\)
\(522\) −0.350686 31.1733i −0.0153491 1.36442i
\(523\) −19.5875 + 33.9266i −0.856503 + 1.48351i 0.0187410 + 0.999824i \(0.494034\pi\)
−0.875244 + 0.483682i \(0.839299\pi\)
\(524\) 4.63047 + 8.02021i 0.202283 + 0.350365i
\(525\) 0.720979 + 0.928736i 0.0314661 + 0.0405334i
\(526\) 9.95563 + 2.66760i 0.434086 + 0.116313i
\(527\) 0.830763 + 0.222602i 0.0361886 + 0.00969671i
\(528\) −5.73293 7.38493i −0.249494 0.321388i
\(529\) −20.1407 34.8846i −0.875680 1.51672i
\(530\) −16.0156 + 27.7398i −0.695672 + 1.20494i
\(531\) 0.371065 + 32.9849i 0.0161029 + 1.43142i
\(532\) 3.14083i 0.136172i
\(533\) 26.7026 + 0.0426510i 1.15662 + 0.00184742i
\(534\) 0.371906 2.95317i 0.0160940 0.127796i
\(535\) −0.567576 2.11822i −0.0245385 0.0915788i
\(536\) −1.20763 0.697224i −0.0521616 0.0301155i
\(537\) −22.5597 + 9.49355i −0.973523 + 0.409677i
\(538\) −18.6378 + 18.6378i −0.803532 + 0.803532i
\(539\) 1.39701 5.21372i 0.0601736 0.224571i
\(540\) −7.37120 + 9.94954i −0.317206 + 0.428160i
\(541\) −9.44349 9.44349i −0.406008 0.406008i 0.474336 0.880344i \(-0.342688\pi\)
−0.880344 + 0.474336i \(0.842688\pi\)
\(542\) −22.0756 + 12.7453i −0.948227 + 0.547459i
\(543\) −6.20787 + 8.18517i −0.266405 + 0.351259i
\(544\) 0.303621 0.0813550i 0.0130176 0.00348807i
\(545\) 36.1594 1.54890
\(546\) 4.93914 3.82164i 0.211376 0.163551i
\(547\) −37.4451 −1.60104 −0.800519 0.599307i \(-0.795443\pi\)
−0.800519 + 0.599307i \(0.795443\pi\)
\(548\) −4.12926 + 1.10643i −0.176393 + 0.0472645i
\(549\) 4.19573 4.29120i 0.179069 0.183144i
\(550\) 3.17311 1.83200i 0.135302 0.0781165i
\(551\) 23.0791 + 23.0791i 0.983203 + 0.983203i
\(552\) 5.20108 12.7590i 0.221373 0.543060i
\(553\) 0.236111 0.881178i 0.0100405 0.0374715i
\(554\) −9.46478 + 9.46478i −0.402120 + 0.402120i
\(555\) 8.72737 + 20.7390i 0.370456 + 0.880323i
\(556\) 5.79873 + 3.34790i 0.245921 + 0.141982i
\(557\) 6.25932 + 23.3601i 0.265216 + 0.989799i 0.962118 + 0.272633i \(0.0878945\pi\)
−0.696902 + 0.717166i \(0.745439\pi\)
\(558\) 7.95225 + 2.03521i 0.336646 + 0.0861571i
\(559\) −15.7541 + 4.19433i −0.666326 + 0.177401i
\(560\) 2.38303i 0.100701i
\(561\) −2.91134 + 0.399956i −0.122917 + 0.0168862i
\(562\) 12.9014 22.3459i 0.544214 0.942606i
\(563\) −7.44158 12.8892i −0.313625 0.543215i 0.665519 0.746381i \(-0.268210\pi\)
−0.979144 + 0.203166i \(0.934877\pi\)
\(564\) −2.55306 + 1.98194i −0.107503 + 0.0834549i
\(565\) −7.98094 2.13849i −0.335761 0.0899668i
\(566\) −14.0140 3.75505i −0.589054 0.157837i
\(567\) −2.52435 8.63873i −0.106013 0.362793i
\(568\) 7.70166 + 13.3397i 0.323155 + 0.559720i
\(569\) −21.4049 + 37.0743i −0.897339 + 1.55424i −0.0664562 + 0.997789i \(0.521169\pi\)
−0.830883 + 0.556447i \(0.812164\pi\)
\(570\) −1.76439 12.8432i −0.0739020 0.537943i
\(571\) 4.14595i 0.173503i 0.996230 + 0.0867514i \(0.0276486\pi\)
−0.996230 + 0.0867514i \(0.972351\pi\)
\(572\) −9.70381 16.8697i −0.405737 0.705356i
\(573\) −13.7857 1.73609i −0.575905 0.0725264i
\(574\) 1.91681 + 7.15363i 0.0800060 + 0.298587i
\(575\) 4.67647 + 2.69996i 0.195022 + 0.112596i
\(576\) 2.88886 0.809005i 0.120369 0.0337085i
\(577\) 8.72938 8.72938i 0.363409 0.363409i −0.501657 0.865066i \(-0.667276\pi\)
0.865066 + 0.501657i \(0.167276\pi\)
\(578\) −4.37435 + 16.3253i −0.181949 + 0.679043i
\(579\) 18.4181 + 7.50793i 0.765429 + 0.312019i
\(580\) −17.5107 17.5107i −0.727092 0.727092i
\(581\) −9.44972 + 5.45580i −0.392040 + 0.226345i
\(582\) 15.1187 + 11.4664i 0.626690 + 0.475300i
\(583\) −70.0796 + 18.7778i −2.90240 + 0.777696i
\(584\) −14.7040 −0.608457
\(585\) −18.0499 + 18.4017i −0.746271 + 0.760817i
\(586\) 14.1669 0.585227
\(587\) −20.4212 + 5.47185i −0.842874 + 0.225847i −0.654322 0.756216i \(-0.727046\pi\)
−0.188552 + 0.982063i \(0.560379\pi\)
\(588\) 1.38004 + 1.04666i 0.0569118 + 0.0431635i
\(589\) −7.44253 + 4.29695i −0.306664 + 0.177053i
\(590\) 18.5283 + 18.5283i 0.762798 + 0.762798i
\(591\) 8.39008 + 3.42013i 0.345122 + 0.140685i
\(592\) 1.41091 5.26559i 0.0579881 0.216415i
\(593\) −3.55722 + 3.55722i −0.146077 + 0.146077i −0.776363 0.630286i \(-0.782938\pi\)
0.630286 + 0.776363i \(0.282938\pi\)
\(594\) −27.7413 + 4.12953i −1.13824 + 0.169437i
\(595\) −0.648705 0.374530i −0.0265943 0.0153542i
\(596\) −1.76766 6.59700i −0.0724062 0.270224i
\(597\) 18.6769 + 2.35207i 0.764395 + 0.0962638i
\(598\) 14.3807 24.8164i 0.588069 1.01482i
\(599\) 26.3024i 1.07469i −0.843363 0.537344i \(-0.819428\pi\)
0.843363 0.537344i \(-0.180572\pi\)
\(600\) 0.160019 + 1.16480i 0.00653273 + 0.0475527i
\(601\) 4.78852 8.29396i 0.195328 0.338317i −0.751680 0.659528i \(-0.770756\pi\)
0.947008 + 0.321210i \(0.104090\pi\)
\(602\) −2.26080 3.91582i −0.0921433 0.159597i
\(603\) −3.59912 + 2.13229i −0.146568 + 0.0868337i
\(604\) 2.55259 + 0.683966i 0.103864 + 0.0278302i
\(605\) 41.7426 + 11.1849i 1.69708 + 0.454731i
\(606\) −5.45119 + 4.23177i −0.221439 + 0.171904i
\(607\) 14.0402 + 24.3184i 0.569876 + 0.987054i 0.996578 + 0.0826613i \(0.0263420\pi\)
−0.426702 + 0.904392i \(0.640325\pi\)
\(608\) −1.57042 + 2.72004i −0.0636888 + 0.110312i
\(609\) 17.8316 2.44968i 0.722573 0.0992662i
\(610\) 4.76728i 0.193022i
\(611\) −5.83205 + 3.35472i −0.235939 + 0.135718i
\(612\) 0.233803 0.913550i 0.00945094 0.0369281i
\(613\) 1.45241 + 5.42048i 0.0586624 + 0.218931i 0.989034 0.147686i \(-0.0471825\pi\)
−0.930372 + 0.366617i \(0.880516\pi\)
\(614\) 12.6905 + 7.32689i 0.512149 + 0.295689i
\(615\) −11.8567 28.1752i −0.478107 1.13613i
\(616\) 3.81671 3.81671i 0.153780 0.153780i
\(617\) 11.9962 44.7703i 0.482948 1.80239i −0.106182 0.994347i \(-0.533862\pi\)
0.589129 0.808039i \(-0.299471\pi\)
\(618\) 7.08351 17.3769i 0.284941 0.699002i
\(619\) −7.09633 7.09633i −0.285226 0.285226i 0.549963 0.835189i \(-0.314642\pi\)
−0.835189 + 0.549963i \(0.814642\pi\)
\(620\) 5.64683 3.26020i 0.226782 0.130933i
\(621\) −25.7130 32.3641i −1.03183 1.29873i
\(622\) −6.13117 + 1.64284i −0.245838 + 0.0658720i
\(623\) 1.71848 0.0688495
\(624\) 6.18824 0.840064i 0.247728 0.0336295i
\(625\) 27.9333 1.11733
\(626\) 18.6379 4.99400i 0.744918 0.199600i
\(627\) 17.7441 23.3959i 0.708632 0.934342i
\(628\) 9.75987 5.63487i 0.389461 0.224856i
\(629\) −1.21165 1.21165i −0.0483116 0.0483116i
\(630\) −6.23110 3.50467i −0.248253 0.139629i
\(631\) 6.92849 25.8575i 0.275819 1.02937i −0.679472 0.733701i \(-0.737791\pi\)
0.955291 0.295668i \(-0.0955422\pi\)
\(632\) 0.645067 0.645067i 0.0256594 0.0256594i
\(633\) −24.5530 + 10.3323i −0.975892 + 0.410674i
\(634\) 23.6138 + 13.6334i 0.937823 + 0.541452i
\(635\) 4.40841 + 16.4524i 0.174943 + 0.652894i
\(636\) 2.90893 23.0987i 0.115346 0.915923i
\(637\) 2.54543 + 2.55358i 0.100854 + 0.101176i
\(638\) 56.0911i 2.22067i
\(639\) 46.2070 0.519808i 1.82792 0.0205633i
\(640\) 1.19151 2.06376i 0.0470987 0.0815773i
\(641\) 14.0090 + 24.2644i 0.553324 + 0.958385i 0.998032 + 0.0627092i \(0.0199741\pi\)
−0.444708 + 0.895676i \(0.646693\pi\)
\(642\) 0.977399 + 1.25905i 0.0385749 + 0.0496906i
\(643\) 19.7840 + 5.30111i 0.780206 + 0.209056i 0.626875 0.779119i \(-0.284333\pi\)
0.153330 + 0.988175i \(0.451000\pi\)
\(644\) 7.68390 + 2.05889i 0.302788 + 0.0811318i
\(645\) 11.4444 + 14.7422i 0.450623 + 0.580474i
\(646\) 0.493631 + 0.854994i 0.0194217 + 0.0336393i
\(647\) −8.36063 + 14.4810i −0.328690 + 0.569308i −0.982252 0.187565i \(-0.939941\pi\)
0.653562 + 0.756873i \(0.273274\pi\)
\(648\) 2.13321 8.74353i 0.0838006 0.343478i
\(649\) 59.3507i 2.32972i
\(650\) −0.00390928 + 2.44749i −0.000153335 + 0.0959985i
\(651\) −0.592154 + 4.70207i −0.0232083 + 0.184289i
\(652\) 5.24444 + 19.5725i 0.205388 + 0.766519i
\(653\) 40.3965 + 23.3229i 1.58084 + 0.912696i 0.994738 + 0.102456i \(0.0326702\pi\)
0.586098 + 0.810240i \(0.300663\pi\)
\(654\) −24.2241 + 10.1940i −0.947238 + 0.398616i
\(655\) 15.6052 15.6052i 0.609745 0.609745i
\(656\) −1.91681 + 7.15363i −0.0748388 + 0.279302i
\(657\) −21.6249 + 38.4479i −0.843668 + 1.49999i
\(658\) −1.31948 1.31948i −0.0514388 0.0514388i
\(659\) −3.91850 + 2.26235i −0.152643 + 0.0881285i −0.574376 0.818592i \(-0.694755\pi\)
0.421733 + 0.906720i \(0.361422\pi\)
\(660\) −13.4629 + 17.7510i −0.524043 + 0.690958i
\(661\) −5.63401 + 1.50963i −0.219138 + 0.0587178i −0.366717 0.930332i \(-0.619518\pi\)
0.147580 + 0.989050i \(0.452852\pi\)
\(662\) −18.8694 −0.733378
\(663\) 0.743898 1.81659i 0.0288906 0.0705503i
\(664\) −10.9116 −0.423452
\(665\) 7.22965 1.93718i 0.280354 0.0751205i
\(666\) −11.6934 11.4332i −0.453110 0.443029i
\(667\) 71.5909 41.3330i 2.77201 1.60042i
\(668\) 11.8756 + 11.8756i 0.459483 + 0.459483i
\(669\) 7.57454 18.5815i 0.292849 0.718402i
\(670\) −0.860057 + 3.20978i −0.0332269 + 0.124005i
\(671\) 7.63539 7.63539i 0.294761 0.294761i
\(672\) 0.671817 + 1.59645i 0.0259159 + 0.0615845i
\(673\) −17.4292 10.0628i −0.671847 0.387891i 0.124929 0.992166i \(-0.460130\pi\)
−0.796776 + 0.604275i \(0.793463\pi\)
\(674\) 1.83562 + 6.85063i 0.0707055 + 0.263877i
\(675\) 3.28103 + 1.29463i 0.126287 + 0.0498304i
\(676\) 12.9999 + 0.0415286i 0.499997 + 0.00159725i
\(677\) 15.6707i 0.602275i −0.953581 0.301138i \(-0.902634\pi\)
0.953581 0.301138i \(-0.0973663\pi\)
\(678\) 5.94952 0.817338i 0.228490 0.0313897i
\(679\) −5.47764 + 9.48755i −0.210212 + 0.364099i
\(680\) −0.374530 0.648705i −0.0143626 0.0248767i
\(681\) −4.80372 + 3.72914i −0.184079 + 0.142901i
\(682\) 14.2657 + 3.82249i 0.546262 + 0.146371i
\(683\) 10.0052 + 2.68088i 0.382838 + 0.102581i 0.445105 0.895478i \(-0.353166\pi\)
−0.0622669 + 0.998060i \(0.519833\pi\)
\(684\) 4.80274 + 8.10661i 0.183637 + 0.309964i
\(685\) 5.09363 + 8.82243i 0.194618 + 0.337088i
\(686\) −0.500000 + 0.866025i −0.0190901 + 0.0330650i
\(687\) −5.46176 39.7569i −0.208379 1.51682i
\(688\) 4.52160i 0.172384i
\(689\) 12.6180 46.7921i 0.480709 1.78264i
\(690\) −32.5769 4.10257i −1.24018 0.156182i
\(691\) −6.97535 26.0324i −0.265355 0.990318i −0.962033 0.272934i \(-0.912006\pi\)
0.696678 0.717384i \(-0.254661\pi\)
\(692\) −9.05569 5.22831i −0.344246 0.198750i
\(693\) −4.36672 15.5930i −0.165878 0.592330i
\(694\) 1.00999 1.00999i 0.0383387 0.0383387i
\(695\) 4.12978 15.4126i 0.156652 0.584632i
\(696\) 16.6675 + 6.79431i 0.631778 + 0.257538i
\(697\) 1.64610 + 1.64610i 0.0623504 + 0.0623504i
\(698\) 1.65948 0.958100i 0.0628121 0.0362646i
\(699\) 24.3025 + 18.4317i 0.919204 + 0.697151i
\(700\) −0.655683 + 0.175690i −0.0247825 + 0.00664045i
\(701\) 23.7687 0.897732 0.448866 0.893599i \(-0.351828\pi\)
0.448866 + 0.893599i \(0.351828\pi\)
\(702\) 6.90433 17.4164i 0.260587 0.657339i
\(703\) 17.1217 0.645759
\(704\) 5.21372 1.39701i 0.196500 0.0526519i
\(705\) 6.13675 + 4.65429i 0.231123 + 0.175291i
\(706\) 9.76714 5.63906i 0.367591 0.212229i
\(707\) −2.81731 2.81731i −0.105956 0.105956i
\(708\) −17.6361 7.18915i −0.662803 0.270185i
\(709\) 4.49421 16.7726i 0.168783 0.629908i −0.828744 0.559628i \(-0.810944\pi\)
0.997527 0.0702802i \(-0.0223893\pi\)
\(710\) 25.9554 25.9554i 0.974090 0.974090i
\(711\) −0.738025 2.63540i −0.0276781 0.0988352i
\(712\) 1.48825 + 0.859240i 0.0557745 + 0.0322014i
\(713\) 5.63351 + 21.0246i 0.210977 + 0.787376i
\(714\) 0.540171 + 0.0680263i 0.0202154 + 0.00254582i
\(715\) −32.8460 + 32.7412i −1.22837 + 1.22445i
\(716\) 14.1311i 0.528106i
\(717\) −1.51629 11.0373i −0.0566269 0.412195i
\(718\) −5.25108 + 9.09513i −0.195968 + 0.339427i
\(719\) 12.1046 + 20.9657i 0.451424 + 0.781889i 0.998475 0.0552105i \(-0.0175830\pi\)
−0.547051 + 0.837099i \(0.684250\pi\)
\(720\) −3.64396 6.15068i −0.135802 0.229222i
\(721\) 10.4649 + 2.80407i 0.389735 + 0.104429i
\(722\) 8.82391 + 2.36436i 0.328392 + 0.0879923i
\(723\) 10.7140 8.31732i 0.398459 0.309324i
\(724\) −2.96556 5.13650i −0.110214 0.190897i
\(725\) −3.52703 + 6.10900i −0.130991 + 0.226883i
\(726\) −31.1177 + 4.27491i −1.15489 + 0.158657i
\(727\) 16.2953i 0.604359i −0.953251 0.302180i \(-0.902286\pi\)
0.953251 0.302180i \(-0.0977143\pi\)
\(728\) 0.927621 + 3.48418i 0.0343799 + 0.129132i
\(729\) −19.7252 18.4368i −0.730563 0.682846i
\(730\) 9.06904 + 33.8461i 0.335660 + 1.25270i
\(731\) −1.23087 0.710641i −0.0455252 0.0262840i
\(732\) 1.34398 + 3.19373i 0.0496750 + 0.118044i
\(733\) −13.4669 + 13.4669i −0.497412 + 0.497412i −0.910631 0.413220i \(-0.864404\pi\)
0.413220 + 0.910631i \(0.364404\pi\)
\(734\) −1.05189 + 3.92570i −0.0388259 + 0.144900i
\(735\) 1.55806 3.82216i 0.0574700 0.140982i
\(736\) 5.62500 + 5.62500i 0.207340 + 0.207340i
\(737\) −6.51834 + 3.76337i −0.240106 + 0.138625i
\(738\) 15.8862 + 15.5327i 0.584779 + 0.571768i
\(739\) 17.4861 4.68539i 0.643237 0.172355i 0.0775678 0.996987i \(-0.475285\pi\)
0.565669 + 0.824632i \(0.308618\pi\)
\(740\) −12.9907 −0.477547
\(741\) 7.57906 + 18.0910i 0.278424 + 0.664591i
\(742\) 13.4414 0.493448
\(743\) 18.3442 4.91530i 0.672982 0.180325i 0.0938844 0.995583i \(-0.470072\pi\)
0.579098 + 0.815258i \(0.303405\pi\)
\(744\) −2.86386 + 3.77604i −0.104994 + 0.138436i
\(745\) −14.0949 + 8.13770i −0.516397 + 0.298142i
\(746\) 12.0376 + 12.0376i 0.440726 + 0.440726i
\(747\) −16.0475 + 28.5315i −0.587146 + 1.04391i
\(748\) 0.439125 1.63884i 0.0160560 0.0599218i
\(749\) −0.650705 + 0.650705i −0.0237763 + 0.0237763i
\(750\) −16.4395 + 6.91804i −0.600285 + 0.252611i
\(751\) 44.4408 + 25.6579i 1.62167 + 0.936270i 0.986474 + 0.163915i \(0.0524123\pi\)
0.635192 + 0.772354i \(0.280921\pi\)
\(752\) −0.482964 1.80245i −0.0176119 0.0657285i
\(753\) −0.499029 + 3.96260i −0.0181856 + 0.144405i
\(754\) 32.4183 + 18.7858i 1.18061 + 0.684140i
\(755\) 6.29748i 0.229189i
\(756\) 5.16241 + 0.591214i 0.187755 + 0.0215022i
\(757\) 2.39348 4.14563i 0.0869925 0.150675i −0.819246 0.573442i \(-0.805608\pi\)
0.906239 + 0.422767i \(0.138941\pi\)
\(758\) 1.58645 + 2.74781i 0.0576224 + 0.0998049i
\(759\) −45.6052 58.7467i −1.65536 2.13237i
\(760\) 7.22965 + 1.93718i 0.262247 + 0.0702688i
\(761\) 34.2877 + 9.18737i 1.24293 + 0.333042i 0.819601 0.572935i \(-0.194195\pi\)
0.423328 + 0.905976i \(0.360862\pi\)
\(762\) −7.59154 9.77911i −0.275013 0.354260i
\(763\) −7.58686 13.1408i −0.274663 0.475730i
\(764\) 4.01102 6.94728i 0.145113 0.251344i
\(765\) −2.24704 + 0.0252782i −0.0812418 + 0.000913934i
\(766\) 35.5598i 1.28483i
\(767\) −34.3023 19.8775i −1.23858 0.717736i
\(768\) −0.216416 + 1.71848i −0.00780923 + 0.0620102i
\(769\) −0.535980 2.00030i −0.0193279 0.0721328i 0.955588 0.294705i \(-0.0952214\pi\)
−0.974916 + 0.222572i \(0.928555\pi\)
\(770\) −11.1394 6.43136i −0.401438 0.231770i
\(771\) 8.00453 3.36845i 0.288276 0.121312i
\(772\) −8.11988 + 8.11988i −0.292241 + 0.292241i
\(773\) −8.53659 + 31.8590i −0.307040 + 1.14589i 0.624135 + 0.781316i \(0.285451\pi\)
−0.931175 + 0.364572i \(0.881215\pi\)