Properties

Label 546.2.bu.a.71.14
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 71.14
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.a.323.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(1.59645 + 0.671817i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.68505 + 1.68505i) q^{5} +(1.71593 + 0.235733i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.09732 + 2.14505i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(1.59645 + 0.671817i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.68505 + 1.68505i) q^{5} +(1.71593 + 0.235733i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.09732 + 2.14505i) 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} +(1.55806 + 3.82216i) q^{15} +(0.500000 - 0.866025i) q^{16} +(0.157166 + 0.272219i) q^{17} +(2.58104 + 1.52913i) q^{18} +(3.03381 + 0.812907i) q^{19} +(2.30183 + 0.616773i) q^{20} +(-1.06212 + 1.36818i) q^{21} +(-2.69882 - 4.67450i) q^{22} +(-3.97748 + 6.88919i) q^{23} +(1.60391 - 0.653816i) 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} +(2.49422 + 3.28866i) q^{30} +(-1.93478 + 1.93478i) q^{31} +(0.258819 - 0.965926i) q^{32} +(1.27240 - 9.26200i) q^{33} +(0.222266 + 0.222266i) q^{34} +(-2.06376 + 1.19151i) q^{35} +(2.88886 + 0.809005i) q^{36} +(5.26559 - 1.41091i) q^{37} +3.14083 q^{38} +(-4.92691 - 3.83739i) q^{39} +2.38303 q^{40} +(7.15363 - 1.91681i) q^{41} +(-0.671817 + 1.59645i) q^{42} +(3.91582 - 2.26080i) q^{43} +(-3.81671 - 3.81671i) q^{44} +(-0.0804188 + 7.14863i) q^{45} +(-2.05889 + 7.68390i) q^{46} +(-1.31948 + 1.31948i) q^{47} +(1.38004 - 1.04666i) 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} +(3.09321 + 4.17517i) q^{54} +(6.43136 - 11.1394i) q^{55} +(0.500000 + 0.866025i) q^{56} +(4.29721 + 3.33593i) q^{57} +(-10.0377 - 2.68959i) q^{58} +(-10.6210 - 2.84589i) q^{59} +(3.26040 + 2.53105i) q^{60} +(-1.00026 - 1.73250i) q^{61} +(-1.36809 + 2.36961i) q^{62} +(-2.61479 + 1.47068i) 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} +(-10.9781 + 8.32613i) q^{69} +(-1.68505 + 1.68505i) q^{70} +(-3.98667 + 14.8785i) q^{71} +(2.99981 + 0.0337465i) q^{72} +(10.3973 + 10.3973i) q^{73} +(4.72100 - 2.72567i) q^{74} +(-0.456038 + 1.08369i) q^{75} +(3.03381 - 0.812907i) q^{76} +5.39764 q^{77} +(-5.75222 - 2.43146i) q^{78} -0.912263 q^{79} +(2.30183 - 0.616773i) q^{80} +(-0.202466 + 8.99772i) q^{81} +(6.41377 - 3.70299i) q^{82} +(-7.71566 - 7.71566i) q^{83} +(-0.235733 + 1.71593i) q^{84} +(-0.193871 + 0.723536i) q^{85} +(3.19725 - 3.19725i) q^{86} +(-10.8767 - 14.3410i) 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} +(-4.38859 + 1.78896i) q^{93} +(-0.933016 + 1.61603i) q^{94} +(3.74234 + 6.48192i) q^{95} +(1.06212 - 1.36818i) q^{96} +(10.5820 + 2.83543i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(8.25370 - 13.9315i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

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
\(3\) 1.59645 + 0.671817i 0.921713 + 0.387874i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 1.68505 + 1.68505i 0.753579 + 0.753579i 0.975145 0.221566i \(-0.0711169\pi\)
−0.221566 + 0.975145i \(0.571117\pi\)
\(6\) 1.71593 + 0.235733i 0.700527 + 0.0962376i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.09732 + 2.14505i 0.699108 + 0.715016i
\(10\) 2.06376 + 1.19151i 0.652619 + 0.376789i
\(11\) −1.39701 5.21372i −0.421215 1.57200i −0.772052 0.635560i \(-0.780769\pi\)
0.350836 0.936437i \(-0.385897\pi\)
\(12\) 1.71848 0.216416i 0.496082 0.0624739i
\(13\) −3.48120 0.938747i −0.965511 0.260362i
\(14\) 1.00000i 0.267261i
\(15\) 1.55806 + 3.82216i 0.402290 + 0.986877i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 0.157166 + 0.272219i 0.0381183 + 0.0660228i 0.884455 0.466625i \(-0.154530\pi\)
−0.846337 + 0.532648i \(0.821197\pi\)
\(18\) 2.58104 + 1.52913i 0.608357 + 0.360419i
\(19\) 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
\(21\) −1.06212 + 1.36818i −0.231773 + 0.298560i
\(22\) −2.69882 4.67450i −0.575391 0.996606i
\(23\) −3.97748 + 6.88919i −0.829361 + 1.43650i 0.0691786 + 0.997604i \(0.477962\pi\)
−0.898540 + 0.438892i \(0.855371\pi\)
\(24\) 1.60391 0.653816i 0.327397 0.133460i
\(25\) 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 \(-0.917978\pi\)
−0.704188 0.710013i \(-0.748689\pi\)
\(30\) 2.49422 + 3.28866i 0.455380 + 0.600425i
\(31\) −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
\(33\) 1.27240 9.26200i 0.221497 1.61231i
\(34\) 0.222266 + 0.222266i 0.0381183 + 0.0381183i
\(35\) −2.06376 + 1.19151i −0.348839 + 0.201402i
\(36\) 2.88886 + 0.809005i 0.481477 + 0.134834i
\(37\) 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
\(39\) −4.92691 3.83739i −0.788936 0.614475i
\(40\) 2.38303 0.376789
\(41\) 7.15363 1.91681i 1.11721 0.299355i 0.347455 0.937697i \(-0.387046\pi\)
0.769753 + 0.638341i \(0.220379\pi\)
\(42\) −0.671817 + 1.59645i −0.103664 + 0.246338i
\(43\) 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
\(45\) −0.0804188 + 7.14863i −0.0119881 + 1.06565i
\(46\) −2.05889 + 7.68390i −0.303567 + 1.13293i
\(47\) −1.31948 + 1.31948i −0.192466 + 0.192466i −0.796761 0.604295i \(-0.793455\pi\)
0.604295 + 0.796761i \(0.293455\pi\)
\(48\) 1.38004 1.04666i 0.199191 0.151072i
\(49\) −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 \(-0.625600\pi\)
0.384423 0.923157i \(-0.374400\pi\)
\(54\) 3.09321 + 4.17517i 0.420933 + 0.568169i
\(55\) 6.43136 11.1394i 0.867205 1.50204i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) 4.29721 + 3.33593i 0.569179 + 0.441855i
\(58\) −10.0377 2.68959i −1.31801 0.353160i
\(59\) −10.6210 2.84589i −1.38274 0.370503i −0.510622 0.859805i \(-0.670585\pi\)
−0.872114 + 0.489302i \(0.837252\pi\)
\(60\) 3.26040 + 2.53105i 0.420916 + 0.326758i
\(61\) −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
\(63\) −2.61479 + 1.47068i −0.329432 + 0.185288i
\(64\) 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
\(69\) −10.9781 + 8.32613i −1.32161 + 1.00235i
\(70\) −1.68505 + 1.68505i −0.201402 + 0.201402i
\(71\) −3.98667 + 14.8785i −0.473131 + 1.76575i 0.155283 + 0.987870i \(0.450371\pi\)
−0.628414 + 0.777879i \(0.716296\pi\)
\(72\) 2.99981 + 0.0337465i 0.353531 + 0.00397706i
\(73\) 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
\(75\) −0.456038 + 1.08369i −0.0526588 + 0.125134i
\(76\) 3.03381 0.812907i 0.348002 0.0932468i
\(77\) 5.39764 0.615119
\(78\) −5.75222 2.43146i −0.651310 0.275309i
\(79\) −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
\(81\) −0.202466 + 8.99772i −0.0224962 + 0.999747i
\(82\) 6.41377 3.70299i 0.708282 0.408927i
\(83\) −7.71566 7.71566i −0.846904 0.846904i 0.142841 0.989746i \(-0.454376\pi\)
−0.989746 + 0.142841i \(0.954376\pi\)
\(84\) −0.235733 + 1.71593i −0.0257206 + 0.187224i
\(85\) −0.193871 + 0.723536i −0.0210283 + 0.0784785i
\(86\) 3.19725 3.19725i 0.344769 0.344769i
\(87\) −10.8767 14.3410i −1.16610 1.53752i
\(88\) −4.67450 2.69882i −0.498303 0.287695i
\(89\) 0.444776 + 1.65993i 0.0471461 + 0.175952i 0.985484 0.169767i \(-0.0543017\pi\)
−0.938338 + 0.345719i \(0.887635\pi\)
\(90\) 1.77252 + 6.92586i 0.186840 + 0.730049i
\(91\) 1.80776 3.11962i 0.189505 0.327025i
\(92\) 7.95495i 0.829361i
\(93\) −4.38859 + 1.78896i −0.455076 + 0.185507i
\(94\) −0.933016 + 1.61603i −0.0962332 + 0.166681i
\(95\) 3.74234 + 6.48192i 0.383956 + 0.665031i
\(96\) 1.06212 1.36818i 0.108402 0.139639i
\(97\) 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
\(99\) 8.25370 13.9315i 0.829528 1.40017i
\(100\) 0.339407 + 0.587869i 0.0339407 + 0.0587869i
\(101\) 1.99214 3.45048i 0.198225 0.343336i −0.749728 0.661746i \(-0.769816\pi\)
0.947953 + 0.318410i \(0.103149\pi\)
\(102\) 0.205515 + 0.504159i 0.0203490 + 0.0499192i
\(103\) 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 0.460983 0.887409i \(-0.347497\pi\)
−0.538027 + 0.842928i \(0.680830\pi\)
\(108\) 4.06843 + 3.23232i 0.391484 + 0.311030i
\(109\) −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
\(111\) 9.35414 + 1.28506i 0.887856 + 0.121973i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) −3.00270 + 1.73361i −0.282470 + 0.163084i −0.634541 0.772889i \(-0.718811\pi\)
0.352071 + 0.935973i \(0.385478\pi\)
\(114\) 5.01419 + 2.11006i 0.469622 + 0.197626i
\(115\) −18.3109 + 4.90640i −1.70750 + 0.457524i
\(116\) −10.3918 −0.964852
\(117\) −5.28755 9.43620i −0.488834 0.872377i
\(118\) −10.9957 −1.01223
\(119\) −0.303621 + 0.0813550i −0.0278329 + 0.00745780i
\(120\) 3.80439 + 1.60096i 0.347292 + 0.146147i
\(121\) −15.7050 + 9.06727i −1.42773 + 0.824298i
\(122\) −1.41458 1.41458i −0.128070 0.128070i
\(123\) 12.7082 + 1.74583i 1.14586 + 0.157417i
\(124\) −0.708177 + 2.64295i −0.0635962 + 0.237344i
\(125\) 7.28143 7.28143i 0.651271 0.651271i
\(126\) −2.14505 + 2.09732i −0.191096 + 0.186844i
\(127\) −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 \(-0.867423\pi\)
0.914509 0.404566i \(-0.132577\pi\)
\(132\) −3.52907 8.65733i −0.307166 0.753524i
\(133\) −1.57042 + 2.72004i −0.136172 + 0.235857i
\(134\) 0.697224 + 1.20763i 0.0602310 + 0.104323i
\(135\) −4.93095 + 11.3584i −0.424389 + 0.977577i
\(136\) 0.303621 + 0.0813550i 0.0260353 + 0.00697613i
\(137\) 4.12926 + 1.10643i 0.352787 + 0.0945289i 0.430860 0.902419i \(-0.358210\pi\)
−0.0780734 + 0.996948i \(0.524877\pi\)
\(138\) −8.44910 + 10.8838i −0.719235 + 0.926489i
\(139\) 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
\(141\) −2.99294 + 1.22004i −0.252051 + 0.102746i
\(142\) 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
\(147\) −1.04666 1.38004i −0.0863271 0.113824i
\(148\) 3.85468 3.85468i 0.316853 0.316853i
\(149\) −1.76766 + 6.59700i −0.144812 + 0.540447i 0.854951 + 0.518708i \(0.173587\pi\)
−0.999764 + 0.0217390i \(0.993080\pi\)
\(150\) −0.160019 + 1.16480i −0.0130655 + 0.0951054i
\(151\) 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
\(153\) −0.254296 + 0.908060i −0.0205586 + 0.0734123i
\(154\) 5.21372 1.39701i 0.420134 0.112574i
\(155\) −6.52040 −0.523731
\(156\) −6.18552 0.859828i −0.495238 0.0688414i
\(157\) 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
\(159\) 9.03014 21.4585i 0.716137 1.70177i
\(160\) 2.06376 1.19151i 0.163155 0.0941974i
\(161\) −5.62500 5.62500i −0.443312 0.443312i
\(162\) 2.13321 + 8.74353i 0.167601 + 0.686957i
\(163\) −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
\(165\) 17.7510 13.4629i 1.38192 1.04809i
\(166\) −9.44972 5.45580i −0.733441 0.423452i
\(167\) −4.34679 16.2224i −0.336365 1.25533i −0.902382 0.430937i \(-0.858183\pi\)
0.566017 0.824393i \(-0.308483\pi\)
\(168\) 0.216416 + 1.71848i 0.0166968 + 0.132583i
\(169\) 11.2375 + 6.53593i 0.864424 + 0.502764i
\(170\) 0.749060i 0.0574503i
\(171\) 4.61916 + 8.21260i 0.353236 + 0.628033i
\(172\) 2.26080 3.91582i 0.172384 0.298579i
\(173\) 5.22831 + 9.05569i 0.397501 + 0.688492i 0.993417 0.114555i \(-0.0365442\pi\)
−0.595916 + 0.803047i \(0.703211\pi\)
\(174\) −14.2178 11.0373i −1.07785 0.836734i
\(175\) −0.655683 0.175690i −0.0495650 0.0132809i
\(176\) −5.21372 1.39701i −0.392999 0.105304i
\(177\) −15.0440 11.6787i −1.13078 0.877824i
\(178\) 0.859240 + 1.48825i 0.0644028 + 0.111549i
\(179\) −7.06557 + 12.2379i −0.528106 + 0.914706i 0.471357 + 0.881942i \(0.343764\pi\)
−0.999463 + 0.0327637i \(0.989569\pi\)
\(180\) 3.50467 + 6.23110i 0.261223 + 0.464439i
\(181\) 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
\(186\) −3.77604 + 2.86386i −0.276872 + 0.209988i
\(187\) 1.19971 1.19971i 0.0877316 0.0877316i
\(188\) −0.482964 + 1.80245i −0.0352238 + 0.131457i
\(189\) −5.16241 + 0.591214i −0.375510 + 0.0430045i
\(190\) 5.29247 + 5.29247i 0.383956 + 0.383956i
\(191\) −6.94728 + 4.01102i −0.502688 + 0.290227i −0.729823 0.683636i \(-0.760397\pi\)
0.227135 + 0.973863i \(0.427064\pi\)
\(192\) 0.671817 1.59645i 0.0484842 0.115214i
\(193\) −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
\(195\) −1.83588 14.7683i −0.131470 1.05758i
\(196\) −1.00000 −0.0714286
\(197\) 5.05278 1.35389i 0.359995 0.0964605i −0.0742879 0.997237i \(-0.523668\pi\)
0.434283 + 0.900776i \(0.357002\pi\)
\(198\) 4.36672 15.5930i 0.310329 1.10815i
\(199\) −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
\(201\) −0.328717 + 2.39278i −0.0231859 + 0.168774i
\(202\) 1.03121 3.84851i 0.0725554 0.270780i
\(203\) 7.34809 7.34809i 0.515735 0.515735i
\(204\) 0.328998 + 0.433789i 0.0230345 + 0.0303713i
\(205\) 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
\(210\) −3.82216 + 1.55806i −0.263754 + 0.107516i
\(211\) 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
\(213\) −16.3601 + 21.0745i −1.12098 + 1.44400i
\(214\) −0.888880 0.238175i −0.0607626 0.0162813i
\(215\) 10.4079 + 2.78880i 0.709816 + 0.190195i
\(216\) 4.76638 + 2.06920i 0.324311 + 0.140791i
\(217\) −1.36809 2.36961i −0.0928722 0.160859i
\(218\) −7.58686 + 13.1408i −0.513847 + 0.890009i
\(219\) 9.61373 + 23.5839i 0.649636 + 1.59365i
\(220\) 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
\(225\) −1.45609 + 1.42369i −0.0970725 + 0.0949127i
\(226\) −2.45169 + 2.45169i −0.163084 + 0.163084i
\(227\) −0.908723 + 3.39140i −0.0603141 + 0.225095i −0.989504 0.144509i \(-0.953840\pi\)
0.929189 + 0.369604i \(0.120507\pi\)
\(228\) 5.38946 + 0.740398i 0.356926 + 0.0490340i
\(229\) 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
\(231\) 8.61708 + 3.62623i 0.566962 + 0.238588i
\(232\) −10.0377 + 2.68959i −0.659006 + 0.176580i
\(233\) 17.6100 1.15367 0.576835 0.816861i \(-0.304288\pi\)
0.576835 + 0.816861i \(0.304288\pi\)
\(234\) −7.54965 7.74615i −0.493536 0.506382i
\(235\) −4.44680 −0.290077
\(236\) −10.6210 + 2.84589i −0.691368 + 0.185252i
\(237\) −1.45638 0.612874i −0.0946024 0.0398104i
\(238\) −0.272219 + 0.157166i −0.0176453 + 0.0101875i
\(239\) −4.54828 4.54828i −0.294203 0.294203i 0.544535 0.838738i \(-0.316706\pi\)
−0.838738 + 0.544535i \(0.816706\pi\)
\(240\) 4.08912 + 0.561758i 0.263951 + 0.0362613i
\(241\) −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
\(243\) −6.36805 + 14.2284i −0.408511 + 0.912754i
\(244\) −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
\(249\) −7.13418 17.5012i −0.452110 1.10909i
\(250\) 5.14875 8.91790i 0.325636 0.564017i
\(251\) 1.15294 + 1.99695i 0.0727729 + 0.126046i 0.900116 0.435651i \(-0.143482\pi\)
−0.827343 + 0.561697i \(0.810148\pi\)
\(252\) −1.52913 + 2.58104i −0.0963262 + 0.162590i
\(253\) 41.4749 + 11.1132i 2.60751 + 0.698679i
\(254\) −6.90400 1.84992i −0.433196 0.116074i
\(255\) −0.795590 + 1.02485i −0.0498218 + 0.0641783i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 2.50697 4.34221i 0.156381 0.270859i −0.777180 0.629278i \(-0.783351\pi\)
0.933561 + 0.358419i \(0.116684\pi\)
\(258\) 7.25224 2.95630i 0.451504 0.184051i
\(259\) 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 0.749283 0.662250i \(-0.230398\pi\)
−0.198884 + 0.980023i \(0.563732\pi\)
\(264\) −5.64950 7.44895i −0.347703 0.458451i
\(265\) 22.6494 22.6494i 1.39134 1.39134i
\(266\) −0.812907 + 3.03381i −0.0498425 + 0.186015i
\(267\) −0.405103 + 2.94880i −0.0247919 + 0.180464i
\(268\) 0.986024 + 0.986024i 0.0602310 + 0.0602310i
\(269\) −22.8265 + 13.1789i −1.39176 + 0.803532i −0.993510 0.113745i \(-0.963715\pi\)
−0.398249 + 0.917277i \(0.630382\pi\)
\(270\) −1.82316 + 12.2476i −0.110954 + 0.745366i
\(271\) 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
\(273\) 4.98182 3.76583i 0.301513 0.227919i
\(274\) 4.27493 0.258258
\(275\) 3.53914 0.948311i 0.213418 0.0571853i
\(276\) −5.34427 + 12.6997i −0.321687 + 0.764433i
\(277\) 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
\(279\) −8.20804 0.0923367i −0.491402 0.00552805i
\(280\) −0.616773 + 2.30183i −0.0368592 + 0.137560i
\(281\) 18.2454 18.2454i 1.08843 1.08843i 0.0927370 0.995691i \(-0.470438\pi\)
0.995691 0.0927370i \(-0.0295616\pi\)
\(282\) −2.57519 + 1.95310i −0.153350 + 0.116305i
\(283\) 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
\(288\) 2.61479 1.47068i 0.154078 0.0866606i
\(289\) 8.45060 14.6369i 0.497094 0.860992i
\(290\) −12.3819 21.4461i −0.727092 1.25936i
\(291\) 14.9887 + 11.6358i 0.878656 + 0.682102i
\(292\) 14.2030 + 3.80568i 0.831167 + 0.222711i
\(293\) 13.6841 + 3.66665i 0.799435 + 0.214208i 0.635336 0.772236i \(-0.280862\pi\)
0.164099 + 0.986444i \(0.447528\pi\)
\(294\) −1.36818 1.06212i −0.0797936 0.0619440i
\(295\) −13.1015 22.6924i −0.762798 1.32120i
\(296\) 2.72567 4.72100i 0.158426 0.274403i
\(297\) 22.5361 16.6960i 1.30768 0.968803i
\(298\) 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
\(303\) 5.49845 4.17018i 0.315877 0.239571i
\(304\) 2.22090 2.22090i 0.127378 0.127378i
\(305\) 1.23386 4.60484i 0.0706508 0.263672i
\(306\) −0.0106076 + 0.942935i −0.000606395 + 0.0539040i
\(307\) −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
\(309\) 7.27853 17.2961i 0.414061 0.983942i
\(310\) −6.29822 + 1.68760i −0.357715 + 0.0958495i
\(311\) −6.34746 −0.359931 −0.179966 0.983673i \(-0.557599\pi\)
−0.179966 + 0.983673i \(0.557599\pi\)
\(312\) −6.19730 + 0.770401i −0.350853 + 0.0436154i
\(313\) −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
\(315\) −6.88423 1.92788i −0.387882 0.108624i
\(316\) −0.790043 + 0.456131i −0.0444434 + 0.0256594i
\(317\) 19.2806 + 19.2806i 1.08290 + 1.08290i 0.996237 + 0.0866677i \(0.0276218\pi\)
0.0866677 + 0.996237i \(0.472378\pi\)
\(318\) 3.16857 23.0645i 0.177685 1.29339i
\(319\) −14.5174 + 54.1798i −0.812820 + 3.03349i
\(320\) 1.68505 1.68505i 0.0941974 0.0941974i
\(321\) −0.963175 1.26996i −0.0537592 0.0708823i
\(322\) −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
\(327\) −24.3373 + 9.92083i −1.34585 + 0.548623i
\(328\) 3.70299 6.41377i 0.204463 0.354141i
\(329\) −0.933016 1.61603i −0.0514388 0.0890946i
\(330\) 13.6617 17.5985i 0.752053 0.968764i
\(331\) 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
\(333\) 14.0701 + 8.33581i 0.771038 + 0.456800i
\(334\) −8.39735 14.5446i −0.459483 0.795847i
\(335\) −1.66150 + 2.87781i −0.0907776 + 0.157231i
\(336\) 0.653816 + 1.60391i 0.0356686 + 0.0875004i
\(337\) 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
\(342\) 6.58734 + 6.73723i 0.356203 + 0.364308i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) 1.17028 4.36753i 0.0630971 0.235481i
\(345\) −32.5287 4.46876i −1.75129 0.240590i
\(346\) 7.39394 + 7.39394i 0.397501 + 0.397501i
\(347\) 1.23698 0.714171i 0.0664046 0.0383387i −0.466430 0.884558i \(-0.654460\pi\)
0.532835 + 0.846219i \(0.321127\pi\)
\(348\) −16.5900 6.98137i −0.889316 0.374241i
\(349\) −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
\(351\) −2.10192 18.6167i −0.112192 0.993687i
\(352\) −5.39764 −0.287695
\(353\) 10.8938 2.91899i 0.579820 0.155362i 0.0430234 0.999074i \(-0.486301\pi\)
0.536796 + 0.843712i \(0.319634\pi\)
\(354\) −17.5541 7.38708i −0.932988 0.392619i
\(355\) −31.7888 + 18.3533i −1.68717 + 0.974090i
\(356\) 1.21515 + 1.21515i 0.0644028 + 0.0644028i
\(357\) −0.539372 0.0740983i −0.0285466 0.00392170i
\(358\) −3.65741 + 13.6496i −0.193300 + 0.721406i
\(359\) −7.42615 + 7.42615i −0.391937 + 0.391937i −0.875377 0.483440i \(-0.839387\pi\)
0.483440 + 0.875377i \(0.339387\pi\)
\(360\) 4.99798 + 5.11171i 0.263417 + 0.269411i
\(361\) −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
\(366\) −1.30797 3.20865i −0.0683687 0.167719i
\(367\) 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
\(369\) 19.1151 + 11.3247i 0.995093 + 0.589541i
\(370\) 12.5480 + 3.36224i 0.652342 + 0.174794i
\(371\) 12.9834 + 3.47888i 0.674063 + 0.180615i
\(372\) −2.90615 + 3.74358i −0.150677 + 0.194096i
\(373\) −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
\(375\) 16.5163 6.73267i 0.852896 0.347674i
\(376\) 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
\(381\) −7.48106 9.86389i −0.383266 0.505342i
\(382\) −5.67243 + 5.67243i −0.290227 + 0.290227i
\(383\) −9.20354 + 34.3481i −0.470279 + 1.75511i 0.168487 + 0.985704i \(0.446112\pi\)
−0.638766 + 0.769401i \(0.720555\pi\)
\(384\) 0.235733 1.71593i 0.0120297 0.0875659i
\(385\) 9.09532 + 9.09532i 0.463540 + 0.463540i
\(386\) −9.94478 + 5.74162i −0.506176 + 0.292241i
\(387\) 13.0623 + 3.65800i 0.663993 + 0.185946i
\(388\) 10.5820 2.83543i 0.537219 0.143947i
\(389\) −19.8980 −1.00887 −0.504434 0.863450i \(-0.668299\pi\)
−0.504434 + 0.863450i \(0.668299\pi\)
\(390\) −5.59565 13.7899i −0.283347 0.698281i
\(391\) −2.50049 −0.126455
\(392\) −0.965926 + 0.258819i −0.0487866 + 0.0130723i
\(393\) 6.22166 14.7847i 0.313841 0.745788i
\(394\) 4.53019 2.61551i 0.228228 0.131767i
\(395\) −1.53721 1.53721i −0.0773455 0.0773455i
\(396\) 0.182152 16.1919i 0.00915346 0.813674i
\(397\) 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
\(399\) −4.33446 + 3.28738i −0.216995 + 0.164575i
\(400\) 0.587869 + 0.339407i 0.0293935 + 0.0169703i
\(401\) −0.0962543 0.359226i −0.00480671 0.0179389i 0.963481 0.267777i \(-0.0862892\pi\)
−0.968288 + 0.249838i \(0.919622\pi\)
\(402\) 0.301781 + 2.39633i 0.0150515 + 0.119518i
\(403\) 8.55160 4.91908i 0.425986 0.245037i
\(404\) 3.98427i 0.198225i
\(405\) −15.5028 + 14.8205i −0.770341 + 0.736436i
\(406\) 5.19588 8.99954i 0.257867 0.446640i
\(407\) −14.7122 25.4823i −0.729257 1.26311i
\(408\) 0.430061 + 0.333857i 0.0212912 + 0.0165284i
\(409\) 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
\(411\) 5.84885 + 4.54048i 0.288503 + 0.223965i
\(412\) −5.41705 9.38260i −0.266879 0.462248i
\(413\) 5.49783 9.52253i 0.270531 0.468573i
\(414\) −20.8005 + 11.6992i −1.02229 + 0.574984i
\(415\) 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 0.640574 0.767897i \(-0.278697\pi\)
−0.344731 + 0.938702i \(0.612030\pi\)
\(420\) −3.28866 + 2.49422i −0.160470 + 0.121705i
\(421\) −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
\(423\) −5.59774 0.0629720i −0.272171 0.00306180i
\(424\) −9.50448 9.50448i −0.461578 0.461578i
\(425\) −0.184786 + 0.106686i −0.00896343 + 0.00517504i
\(426\) −10.3482 + 24.5907i −0.501373 + 1.19142i
\(427\) 1.93235 0.517772i 0.0935130 0.0250567i
\(428\) −0.920236 −0.0444813
\(429\) −13.1242 + 31.0484i −0.633641 + 1.49903i
\(430\) 10.7751 0.519621
\(431\) −9.14787 + 2.45116i −0.440637 + 0.118068i −0.472315 0.881430i \(-0.656582\pi\)
0.0316778 + 0.999498i \(0.489915\pi\)
\(432\) 5.13952 + 0.765061i 0.247275 + 0.0368090i
\(433\) −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
\(435\) 5.83766 42.4931i 0.279894 2.03739i
\(436\) −3.92725 + 14.6567i −0.188081 + 0.701928i
\(437\) −17.6672 + 17.6672i −0.845136 + 0.845136i
\(438\) 15.3901 + 20.2921i 0.735368 + 0.969594i
\(439\) 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 \(-0.834465\pi\)
0.867798 0.496918i \(-0.165535\pi\)
\(444\) 8.74346 3.56418i 0.414946 0.169148i
\(445\) −2.04759 + 3.54653i −0.0970652 + 0.168122i
\(446\) 5.79256 + 10.0330i 0.274286 + 0.475077i
\(447\) −7.25397 + 9.34426i −0.343101 + 0.441968i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) −6.41982 1.72019i −0.302970 0.0811806i 0.104131 0.994564i \(-0.466794\pi\)
−0.407101 + 0.913383i \(0.633460\pi\)
\(450\) −1.03799 + 1.75204i −0.0489315 + 0.0825921i
\(451\) −19.9874 34.6192i −0.941171 1.63016i
\(452\) −1.73361 + 3.00270i −0.0815421 + 0.141235i
\(453\) 1.72780 + 4.23855i 0.0811792 + 0.199145i
\(454\) 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
\(459\) −1.01602 + 1.27883i −0.0474238 + 0.0596909i
\(460\) −13.4045 + 13.4045i −0.624989 + 0.624989i
\(461\) 2.64045 9.85429i 0.122978 0.458960i −0.876782 0.480889i \(-0.840314\pi\)
0.999760 + 0.0219289i \(0.00698073\pi\)
\(462\) 9.26200 + 1.27240i 0.430907 + 0.0591975i
\(463\) 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
\(465\) −10.4095 4.38052i −0.482730 0.203142i
\(466\) 17.0100 4.55781i 0.787971 0.211136i
\(467\) −2.35099 −0.108791 −0.0543954 0.998519i \(-0.517323\pi\)
−0.0543954 + 0.998519i \(0.517323\pi\)
\(468\) −9.29725 5.52822i −0.429765 0.255542i
\(469\) −1.39445 −0.0643896
\(470\) −4.29528 + 1.15092i −0.198126 + 0.0530878i
\(471\) 17.9916 + 7.57120i 0.829009 + 0.348862i
\(472\) −9.52253 + 5.49783i −0.438310 + 0.253058i
\(473\) −17.2576 17.2576i −0.793507 0.793507i
\(474\) −1.56538 0.215050i −0.0719004 0.00987760i
\(475\) −0.551812 + 2.05939i −0.0253189 + 0.0944913i
\(476\) −0.222266 + 0.222266i −0.0101875 + 0.0101875i
\(477\) 28.8324 28.1909i 1.32014 1.29077i
\(478\) −5.57048 3.21612i −0.254788 0.147102i
\(479\) 6.34353 + 23.6744i 0.289843 + 1.08171i 0.945227 + 0.326414i \(0.105840\pi\)
−0.655384 + 0.755296i \(0.727493\pi\)
\(480\) 4.09518 0.515725i 0.186918 0.0235395i
\(481\) −19.6551 0.0313942i −0.896194 0.00143145i
\(482\) 7.83088i 0.356687i
\(483\) −5.20108 12.7590i −0.236657 0.580556i
\(484\) −9.06727 + 15.7050i −0.412149 + 0.713863i
\(485\) 13.0534 + 22.6091i 0.592722 + 1.02662i
\(486\) −2.46848 + 15.3918i −0.111972 + 0.698185i
\(487\) −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
\(489\) −21.5217 + 27.7233i −0.973243 + 1.25369i
\(490\) −1.19151 2.06376i −0.0538271 0.0932312i
\(491\) −2.03495 + 3.52464i −0.0918360 + 0.159065i −0.908284 0.418355i \(-0.862607\pi\)
0.816448 + 0.577419i \(0.195940\pi\)
\(492\) 11.8785 4.84215i 0.535525 0.218301i
\(493\) 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
\(498\) −11.4207 15.0584i −0.511775 0.674783i
\(499\) 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
\(501\) 3.95907 28.8186i 0.176878 1.28752i
\(502\) 1.63050 + 1.63050i 0.0727729 + 0.0727729i
\(503\) −0.509042 + 0.293895i −0.0226970 + 0.0131041i −0.511306 0.859399i \(-0.670838\pi\)
0.488609 + 0.872503i \(0.337505\pi\)
\(504\) −0.809005 + 2.88886i −0.0360359 + 0.128680i
\(505\) 9.17111 2.45739i 0.408109 0.109352i
\(506\) 42.9380 1.90883
\(507\) 13.5492 + 17.9839i 0.601741 + 0.798691i
\(508\) −7.14755 −0.317121
\(509\) 16.4316 4.40284i 0.728319 0.195153i 0.124439 0.992227i \(-0.460287\pi\)
0.603881 + 0.797075i \(0.293620\pi\)
\(510\) −0.503231 + 1.19584i −0.0222835 + 0.0529526i
\(511\) −12.7341 + 7.35201i −0.563322 + 0.325234i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 1.85690 + 16.2143i 0.0819843 + 0.715877i
\(514\) 1.29770 4.84310i 0.0572393 0.213620i
\(515\) 18.2560 18.2560i 0.804457 0.804457i
\(516\) 6.23998 4.73258i 0.274700 0.208340i
\(517\) 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 \(0.0461554\pi\)
−0.989506 + 0.144494i \(0.953845\pi\)
\(522\) −15.2830 27.1722i −0.668917 1.18930i
\(523\) −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
\(525\) −0.928736 0.720979i −0.0405334 0.0314661i
\(526\) 9.95563 + 2.66760i 0.434086 + 0.116313i
\(527\) −0.830763 0.222602i −0.0361886 0.00969671i
\(528\) −7.38493 5.73293i −0.321388 0.249494i
\(529\) −20.1407 34.8846i −0.875680 1.51672i
\(530\) 16.0156 27.7398i 0.695672 1.20494i
\(531\) −16.1711 28.7513i −0.701766 1.24770i
\(532\) 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
\(537\) −19.5015 + 14.7905i −0.841552 + 0.638258i
\(538\) −18.6378 + 18.6378i −0.803532 + 0.803532i
\(539\) −1.39701 + 5.21372i −0.0601736 + 0.224571i
\(540\) 1.40888 + 12.3022i 0.0606285 + 0.529400i
\(541\) −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
\(543\) 3.98463 9.46876i 0.170997 0.406343i
\(544\) 0.303621 0.0813550i 0.0130176 0.00348807i
\(545\) −36.1594 −1.54890
\(546\) 3.83739 4.92691i 0.164225 0.210852i
\(547\) −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
\(549\) 1.61843 5.77921i 0.0690728 0.246651i
\(550\) 3.17311 1.83200i 0.135302 0.0781165i
\(551\) −23.0791 23.0791i −0.983203 0.983203i
\(552\) −1.87525 + 13.6502i −0.0798157 + 0.580990i
\(553\) 0.236111 0.881178i 0.0100405 0.0374715i
\(554\) 9.46478 9.46478i 0.402120 0.402120i
\(555\) 13.5968 + 17.9276i 0.577154 + 0.760986i
\(556\) 5.79873 + 3.34790i 0.245921 + 0.141982i
\(557\) −6.25932 23.3601i −0.265216 0.989799i −0.962118 0.272633i \(-0.912106\pi\)
0.696902 0.717166i \(-0.254561\pi\)
\(558\) −7.95225 + 2.03521i −0.336646 + 0.0861571i
\(559\) −15.7541 + 4.19433i −0.666326 + 0.177401i
\(560\) 2.38303i 0.100701i
\(561\) 2.72127 1.10930i 0.114892 0.0468345i
\(562\) 12.9014 22.3459i 0.544214 0.942606i
\(563\) 7.44158 + 12.8892i 0.313625 + 0.543215i 0.979144 0.203166i \(-0.0651231\pi\)
−0.665519 + 0.746381i \(0.731790\pi\)
\(564\) −1.98194 + 2.55306i −0.0834549 + 0.107503i
\(565\) −7.98094 2.13849i −0.335761 0.0899668i
\(566\) 14.0140 + 3.75505i 0.589054 + 0.157837i
\(567\) −8.63873 2.52435i −0.362793 0.106013i
\(568\) 7.70166 + 13.3397i 0.323155 + 0.559720i
\(569\) 21.4049 37.0743i 0.897339 1.55424i 0.0664562 0.997789i \(-0.478831\pi\)
0.830883 0.556447i \(-0.187836\pi\)
\(570\) 4.89361 + 12.0047i 0.204971 + 0.502824i
\(571\) 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
\(576\) 2.14505 2.09732i 0.0893770 0.0873885i
\(577\) 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
\(579\) −19.7045 2.70698i −0.818891 0.112498i
\(580\) −17.5107 17.5107i −0.727092 0.727092i
\(581\) 9.44972 5.45580i 0.392040 0.226345i
\(582\) 17.4896 + 7.35994i 0.724966 + 0.305079i
\(583\) −70.0796 + 18.7778i −2.90240 + 0.777696i
\(584\) 14.7040 0.608457
\(585\) 6.99070 24.8103i 0.289030 1.02578i
\(586\) 14.1669 0.585227
\(587\) 20.4212 5.47185i 0.842874 0.225847i 0.188552 0.982063i \(-0.439621\pi\)
0.654322 + 0.756216i \(0.272954\pi\)
\(588\) −1.59645 0.671817i −0.0658366 0.0277053i
\(589\) −7.44253 + 4.29695i −0.306664 + 0.177053i
\(590\) −18.5283 18.5283i −0.762798 0.762798i
\(591\) 8.97608 + 1.23312i 0.369227 + 0.0507239i
\(592\) 1.41091 5.26559i 0.0579881 0.216415i
\(593\) 3.55722 3.55722i 0.146077 0.146077i −0.630286 0.776363i \(-0.717062\pi\)
0.776363 + 0.630286i \(0.217062\pi\)
\(594\) 17.4469 21.9599i 0.715856 0.901026i
\(595\) −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 \(0.180572\pi\)
−0.843363 + 0.537344i \(0.819428\pi\)
\(600\) 0.443819 + 1.08875i 0.0181188 + 0.0444482i
\(601\) 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
\(603\) −2.13229 + 3.59912i −0.0868337 + 0.146568i
\(604\) 2.55259 + 0.683966i 0.103864 + 0.0278302i
\(605\) −41.7426 11.1849i −1.69708 0.454731i
\(606\) 4.23177 5.45119i 0.171904 0.221439i
\(607\) 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
\(609\) 16.6675 6.79431i 0.675399 0.275319i
\(610\) 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
\(615\) 18.4721 + 24.3558i 0.744868 + 0.982120i
\(616\) 3.81671 3.81671i 0.153780 0.153780i
\(617\) −11.9962 + 44.7703i −0.482948 + 1.80239i 0.106182 + 0.994347i \(0.466138\pi\)
−0.589129 + 0.808039i \(0.700529\pi\)
\(618\) 2.55395 18.5906i 0.102735 0.747824i
\(619\) −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
\(621\) −40.8847 6.08603i −1.64064 0.244224i
\(622\) −6.13117 + 1.64284i −0.245838 + 0.0658720i
\(623\) −1.71848 −0.0688495
\(624\) −5.78673 + 2.34813i −0.231655 + 0.0940004i
\(625\) 27.9333 1.11733
\(626\) −18.6379 + 4.99400i −0.744918 + 0.199600i
\(627\) 11.3894 27.0648i 0.454848 1.08086i
\(628\) 9.75987 5.63487i 0.389461 0.224856i
\(629\) 1.21165 + 1.21165i 0.0483116 + 0.0483116i
\(630\) −7.14863 0.0804188i −0.284808 0.00320396i
\(631\) 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
\(633\) 21.2245 16.0973i 0.843600 0.639811i
\(634\) 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
\(639\) −40.2764 + 22.6534i −1.59331 + 0.896153i
\(640\) 1.19151 2.06376i 0.0470987 0.0815773i
\(641\) −14.0090 24.2644i −0.553324 0.958385i −0.998032 0.0627092i \(-0.980026\pi\)
0.444708 0.895676i \(-0.353307\pi\)
\(642\) −1.25905 0.977399i −0.0496906 0.0385749i
\(643\) 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
\(645\) 14.7422 + 11.4444i 0.580474 + 0.450623i
\(646\) 0.493631 + 0.854994i 0.0194217 + 0.0336393i
\(647\) 8.36063 14.4810i 0.328690 0.569308i −0.653562 0.756873i \(-0.726726\pi\)
0.982252 + 0.187565i \(0.0600594\pi\)
\(648\) 6.21919 + 6.50552i 0.244313 + 0.255561i
\(649\) 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 \(-0.967330\pi\)
−0.586098 0.810240i \(-0.699337\pi\)
\(654\) −20.9403 + 15.8817i −0.818830 + 0.621025i
\(655\) 15.6052 15.6052i 0.609745 0.609745i
\(656\) 1.91681 7.15363i 0.0748388 0.279302i
\(657\) −0.496209 + 44.1093i −0.0193590 + 1.72087i
\(658\) −1.31948 1.31948i −0.0514388 0.0514388i
\(659\) 3.91850 2.26235i 0.152643 0.0881285i −0.421733 0.906720i \(-0.638578\pi\)
0.574376 + 0.818592i \(0.305245\pi\)
\(660\) 8.64140 20.5347i 0.336366 0.799313i
\(661\) −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
\(663\) 0.270271 1.94430i 0.0104965 0.0755105i
\(664\) −10.9116 −0.423452
\(665\) −7.22965 + 1.93718i −0.280354 + 0.0751205i
\(666\) 15.7482 + 4.41016i 0.610229 + 0.170890i
\(667\) 71.5909 41.3330i 2.77201 1.60042i
\(668\) −11.8756 11.8756i −0.459483 0.459483i
\(669\) −2.73100 + 19.8793i −0.105586 + 0.768579i
\(670\) −0.860057 + 3.20978i −0.0332269 + 0.124005i
\(671\) −7.63539 + 7.63539i −0.294761 + 0.294761i
\(672\) 1.04666 + 1.38004i 0.0403758 + 0.0532361i
\(673\) −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 \(0.0973663\pi\)
−0.953581 + 0.301138i \(0.902634\pi\)
\(678\) −5.56110 + 2.26692i −0.213573 + 0.0870607i
\(679\) −5.47764 + 9.48755i −0.210212 + 0.364099i
\(680\) 0.374530 + 0.648705i 0.0143626 + 0.0248767i
\(681\) −3.72914 + 4.80372i −0.142901 + 0.184079i
\(682\) 14.2657 + 3.82249i 0.546262 + 0.146371i
\(683\) −10.0052 2.68088i −0.382838 0.102581i 0.0622669 0.998060i \(-0.480167\pi\)
−0.445105 + 0.895478i \(0.646834\pi\)
\(684\) 8.10661 + 4.80274i 0.309964 + 0.183637i
\(685\) 5.09363 + 8.82243i 0.194618 + 0.337088i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) 15.1484 + 37.1614i 0.577949 + 1.41780i
\(688\) 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
\(693\) 11.3206 + 11.5782i 0.430034 + 0.439820i
\(694\) 1.00999 1.00999i 0.0383387 0.0383387i
\(695\) −4.12978 + 15.4126i −0.156652 + 0.584632i
\(696\) −17.8316 2.44968i −0.675905 0.0928550i
\(697\) 1.64610 + 1.64610i 0.0623504 + 0.0623504i
\(698\) −1.65948 + 0.958100i −0.0628121 + 0.0362646i
\(699\) 28.1135 + 11.8307i 1.06335 + 0.447478i
\(700\) −0.655683 + 0.175690i −0.0247825 + 0.00664045i
\(701\) −23.7687 −0.897732 −0.448866 0.893599i \(-0.648172\pi\)
−0.448866 + 0.893599i \(0.648172\pi\)
\(702\) −6.84866 17.4383i −0.258486 0.658168i
\(703\) 17.1217 0.645759
\(704\) −5.21372 + 1.39701i −0.196500 + 0.0526519i
\(705\) −7.09911 2.98744i −0.267368 0.112513i
\(706\) 9.76714 5.63906i 0.367591 0.212229i
\(707\) 2.81731 + 2.81731i 0.105956 + 0.105956i
\(708\) −18.8678 2.59204i −0.709097 0.0974149i
\(709\) 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
\(711\) −1.91331 1.95685i −0.0717548 0.0733875i
\(712\) 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
\(717\) −4.20550 10.3167i −0.157057 0.385285i
\(718\) −5.25108 + 9.09513i −0.195968 + 0.339427i
\(719\) −12.1046 20.9657i −0.451424 0.781889i 0.547051 0.837099i \(-0.315750\pi\)
−0.998475 + 0.0552105i \(0.982417\pi\)
\(720\) 6.15068 + 3.64396i 0.229222 + 0.135802i
\(721\) 10.4649 + 2.80407i 0.389735 + 0.104429i
\(722\) −8.82391 2.36436i −0.328392 0.0879923i
\(723\) −8.31732 + 10.7140i −0.309324 + 0.398459i
\(724\) −2.96556 5.13650i −0.110214 0.190897i
\(725\) 3.52703 6.10900i 0.130991 0.226883i
\(726\) −29.0862 + 11.8567i −1.07949 + 0.440042i
\(727\) 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
\(732\) −2.09386 2.76079i −0.0773913 0.102042i
\(733\) −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
\(735\) 0.561758 4.08912i 0.0207208 0.150829i
\(736\) 5.62500 + 5.62500i 0.207340 + 0.207340i
\(737\) 6.51834 3.76337i 0.240106 0.138625i
\(738\) 21.3948 + 5.99147i 0.787555 + 0.220549i
\(739\) 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
\(741\) −11.8279 15.6470i −0.434507 0.574808i
\(742\) 13.4414 0.493448
\(743\) −18.3442 + 4.91530i −0.672982 + 0.180325i −0.579098 0.815258i \(-0.696595\pi\)
−0.0938844 + 0.995583i \(0.529928\pi\)
\(744\) −1.83822 + 4.36819i −0.0673923 + 0.160146i
\(745\) −14.0949 + 8.13770i −0.516397 + 0.298142i
\(746\) −12.0376 12.0376i −0.440726 0.440726i
\(747\) 0.368228 32.7327i 0.0134728 1.19763i
\(748\) 0.439125 1.63884i 0.0160560 0.0599218i
\(749\) 0.650705 0.650705i 0.0237763 0.0237763i
\(750\) 14.2109 10.7780i 0.518910 0.393556i
\(751\) 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
\(756\) −4.17517 + 3.09321i −0.151849 + 0.112499i
\(757\) 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
\(759\) 58.7467 + 45.6052i 2.13237 + 1.65536i
\(760\) 7.22965 + 1.93718i 0.262247 + 0.0702688i
\(761\) −34.2877 9.18737i −1.24293 0.333042i −0.423328 0.905976i \(-0.639138\pi\)
−0.819601 + 0.572935i \(0.805805\pi\)
\(762\) −9.77911 7.59154i −0.354260 0.275013i
\(763\) −7.58686 13.1408i −0.274663 0.475730i
\(764\) −4.01102 + 6.94728i −0.145113 + 0.251344i
\(765\) −1.95863 + 1.10163i −0.0708145 + 0.0398294i
\(766\) 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
\(771\) 6.91943 5.24790i 0.249197 0.188998i
\(772\) −8.11988 + 8.11988i −0.292241 + 0.292241i
\(773\) 8.53659 31.8590i 0.307040 1.14589i −0.624135 0.781316i \(-0.714549\pi\)
0.931175 0.364572i \(-0.118785\pi\)
\(774\) 13.5639