Properties

Label 546.2.bi.e.257.8
Level $546$
Weight $2$
Character 546.257
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
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.bi (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 257.8
Character \(\chi\) \(=\) 546.257
Dual form 546.2.bi.e.17.8

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(-0.436593 - 1.67612i) q^{3} +1.00000 q^{4} +(-0.567570 - 0.327687i) q^{5} +(0.436593 + 1.67612i) q^{6} +(-2.37289 - 1.17020i) q^{7} -1.00000 q^{8} +(-2.61877 + 1.46357i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(-0.436593 - 1.67612i) q^{3} +1.00000 q^{4} +(-0.567570 - 0.327687i) q^{5} +(0.436593 + 1.67612i) q^{6} +(-2.37289 - 1.17020i) q^{7} -1.00000 q^{8} +(-2.61877 + 1.46357i) q^{9} +(0.567570 + 0.327687i) q^{10} +(-1.54655 + 2.67870i) q^{11} +(-0.436593 - 1.67612i) q^{12} +(3.50535 + 0.844105i) q^{13} +(2.37289 + 1.17020i) q^{14} +(-0.301446 + 1.09438i) q^{15} +1.00000 q^{16} -7.02284 q^{17} +(2.61877 - 1.46357i) q^{18} +(3.25972 + 5.64600i) q^{19} +(-0.567570 - 0.327687i) q^{20} +(-0.925413 + 4.48816i) q^{21} +(1.54655 - 2.67870i) q^{22} +1.43530i q^{23} +(0.436593 + 1.67612i) q^{24} +(-2.28524 - 3.95816i) q^{25} +(-3.50535 - 0.844105i) q^{26} +(3.59645 + 3.75040i) q^{27} +(-2.37289 - 1.17020i) q^{28} +(3.89073 - 2.24631i) q^{29} +(0.301446 - 1.09438i) q^{30} +(2.26475 + 3.92266i) q^{31} -1.00000 q^{32} +(5.16504 + 1.42270i) q^{33} +7.02284 q^{34} +(0.963325 + 1.44174i) q^{35} +(-2.61877 + 1.46357i) q^{36} -2.96384i q^{37} +(-3.25972 - 5.64600i) q^{38} +(-0.115588 - 6.24393i) q^{39} +(0.567570 + 0.327687i) q^{40} +(-7.52039 + 4.34190i) q^{41} +(0.925413 - 4.48816i) q^{42} +(-0.0380219 + 0.0658559i) q^{43} +(-1.54655 + 2.67870i) q^{44} +(1.96593 + 0.0274608i) q^{45} -1.43530i q^{46} +(8.04448 + 4.64448i) q^{47} +(-0.436593 - 1.67612i) q^{48} +(4.26126 + 5.55353i) q^{49} +(2.28524 + 3.95816i) q^{50} +(3.06612 + 11.7711i) q^{51} +(3.50535 + 0.844105i) q^{52} +(-9.68544 + 5.59189i) q^{53} +(-3.59645 - 3.75040i) q^{54} +(1.75555 - 1.01357i) q^{55} +(2.37289 + 1.17020i) q^{56} +(8.04022 - 7.92869i) q^{57} +(-3.89073 + 2.24631i) q^{58} +7.07861i q^{59} +(-0.301446 + 1.09438i) q^{60} +(-13.2960 + 7.67646i) q^{61} +(-2.26475 - 3.92266i) q^{62} +(7.92674 - 0.408396i) q^{63} +1.00000 q^{64} +(-1.71293 - 1.62775i) q^{65} +(-5.16504 - 1.42270i) q^{66} +(3.46095 + 1.99818i) q^{67} -7.02284 q^{68} +(2.40574 - 0.626643i) q^{69} +(-0.963325 - 1.44174i) q^{70} +(-0.469521 + 0.813235i) q^{71} +(2.61877 - 1.46357i) q^{72} +(-5.44642 - 9.43348i) q^{73} +2.96384i q^{74} +(-5.63663 + 5.55845i) q^{75} +(3.25972 + 5.64600i) q^{76} +(6.80442 - 4.54650i) q^{77} +(0.115588 + 6.24393i) q^{78} +(-1.40194 + 2.42822i) q^{79} +(-0.567570 - 0.327687i) q^{80} +(4.71595 - 7.66550i) q^{81} +(7.52039 - 4.34190i) q^{82} +7.24087i q^{83} +(-0.925413 + 4.48816i) q^{84} +(3.98595 + 2.30129i) q^{85} +(0.0380219 - 0.0658559i) q^{86} +(-5.46376 - 5.54062i) q^{87} +(1.54655 - 2.67870i) q^{88} -10.9296i q^{89} +(-1.96593 - 0.0274608i) q^{90} +(-7.33005 - 6.10494i) q^{91} +1.43530i q^{92} +(5.58609 - 5.50861i) q^{93} +(-8.04448 - 4.64448i) q^{94} -4.27267i q^{95} +(0.436593 + 1.67612i) q^{96} +(-8.57395 + 14.8505i) q^{97} +(-4.26126 - 5.55353i) q^{98} +(0.129604 - 9.27839i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + O(q^{10}) \) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + 9q^{10} - 9q^{11} + 3q^{12} + 8q^{13} - 4q^{14} - 4q^{15} + 34q^{16} - 12q^{17} + 11q^{18} - 5q^{19} - 9q^{20} + 4q^{21} + 9q^{22} - 3q^{24} + 16q^{25} - 8q^{26} + 18q^{27} + 4q^{28} - 27q^{29} + 4q^{30} - q^{31} - 34q^{32} + 21q^{33} + 12q^{34} + 3q^{35} - 11q^{36} + 5q^{38} + 7q^{39} + 9q^{40} + 3q^{41} - 4q^{42} - 3q^{43} - 9q^{44} + 9q^{45} + 27q^{47} + 3q^{48} - 2q^{49} - 16q^{50} + 24q^{51} + 8q^{52} + 21q^{53} - 18q^{54} - 57q^{55} - 4q^{56} + 17q^{57} + 27q^{58} - 4q^{60} - 51q^{61} + q^{62} + 3q^{63} + 34q^{64} + 21q^{65} - 21q^{66} - 21q^{67} - 12q^{68} + 42q^{69} - 3q^{70} + 15q^{71} + 11q^{72} - 19q^{73} + 54q^{75} - 5q^{76} - 9q^{77} - 7q^{78} - 9q^{79} - 9q^{80} - 23q^{81} - 3q^{82} + 4q^{84} - 42q^{85} + 3q^{86} + 81q^{87} + 9q^{88} - 9q^{90} - 72q^{91} + 17q^{93} - 27q^{94} - 3q^{96} + 19q^{97} + 2q^{98} + 27q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00000 −0.707107
\(3\) −0.436593 1.67612i −0.252067 0.967710i
\(4\) 1.00000 0.500000
\(5\) −0.567570 0.327687i −0.253825 0.146546i 0.367689 0.929949i \(-0.380149\pi\)
−0.621515 + 0.783403i \(0.713482\pi\)
\(6\) 0.436593 + 1.67612i 0.178238 + 0.684274i
\(7\) −2.37289 1.17020i −0.896870 0.442295i
\(8\) −1.00000 −0.353553
\(9\) −2.61877 + 1.46357i −0.872924 + 0.487855i
\(10\) 0.567570 + 0.327687i 0.179482 + 0.103624i
\(11\) −1.54655 + 2.67870i −0.466302 + 0.807659i −0.999259 0.0384835i \(-0.987747\pi\)
0.532957 + 0.846142i \(0.321081\pi\)
\(12\) −0.436593 1.67612i −0.126034 0.483855i
\(13\) 3.50535 + 0.844105i 0.972209 + 0.234113i
\(14\) 2.37289 + 1.17020i 0.634183 + 0.312750i
\(15\) −0.301446 + 1.09438i −0.0778331 + 0.282569i
\(16\) 1.00000 0.250000
\(17\) −7.02284 −1.70329 −0.851644 0.524121i \(-0.824394\pi\)
−0.851644 + 0.524121i \(0.824394\pi\)
\(18\) 2.61877 1.46357i 0.617251 0.344966i
\(19\) 3.25972 + 5.64600i 0.747831 + 1.29528i 0.948860 + 0.315696i \(0.102238\pi\)
−0.201029 + 0.979585i \(0.564429\pi\)
\(20\) −0.567570 0.327687i −0.126913 0.0732730i
\(21\) −0.925413 + 4.48816i −0.201942 + 0.979398i
\(22\) 1.54655 2.67870i 0.329725 0.571101i
\(23\) 1.43530i 0.299281i 0.988740 + 0.149641i \(0.0478117\pi\)
−0.988740 + 0.149641i \(0.952188\pi\)
\(24\) 0.436593 + 1.67612i 0.0891192 + 0.342137i
\(25\) −2.28524 3.95816i −0.457049 0.791631i
\(26\) −3.50535 0.844105i −0.687456 0.165543i
\(27\) 3.59645 + 3.75040i 0.692138 + 0.721765i
\(28\) −2.37289 1.17020i −0.448435 0.221147i
\(29\) 3.89073 2.24631i 0.722491 0.417130i −0.0931780 0.995649i \(-0.529703\pi\)
0.815669 + 0.578519i \(0.196369\pi\)
\(30\) 0.301446 1.09438i 0.0550363 0.199806i
\(31\) 2.26475 + 3.92266i 0.406761 + 0.704531i 0.994525 0.104502i \(-0.0333248\pi\)
−0.587763 + 0.809033i \(0.699991\pi\)
\(32\) −1.00000 −0.176777
\(33\) 5.16504 + 1.42270i 0.899119 + 0.247661i
\(34\) 7.02284 1.20441
\(35\) 0.963325 + 1.44174i 0.162832 + 0.243698i
\(36\) −2.61877 + 1.46357i −0.436462 + 0.243928i
\(37\) 2.96384i 0.487252i −0.969869 0.243626i \(-0.921663\pi\)
0.969869 0.243626i \(-0.0783369\pi\)
\(38\) −3.25972 5.64600i −0.528796 0.915902i
\(39\) −0.115588 6.24393i −0.0185089 0.999829i
\(40\) 0.567570 + 0.327687i 0.0897408 + 0.0518119i
\(41\) −7.52039 + 4.34190i −1.17449 + 0.678091i −0.954733 0.297465i \(-0.903859\pi\)
−0.219755 + 0.975555i \(0.570526\pi\)
\(42\) 0.925413 4.48816i 0.142794 0.692539i
\(43\) −0.0380219 + 0.0658559i −0.00579829 + 0.0100429i −0.868910 0.494970i \(-0.835179\pi\)
0.863112 + 0.505013i \(0.168512\pi\)
\(44\) −1.54655 + 2.67870i −0.233151 + 0.403829i
\(45\) 1.96593 + 0.0274608i 0.293064 + 0.00409361i
\(46\) 1.43530i 0.211624i
\(47\) 8.04448 + 4.64448i 1.17341 + 0.677468i 0.954480 0.298273i \(-0.0964107\pi\)
0.218928 + 0.975741i \(0.429744\pi\)
\(48\) −0.436593 1.67612i −0.0630168 0.241927i
\(49\) 4.26126 + 5.55353i 0.608751 + 0.793361i
\(50\) 2.28524 + 3.95816i 0.323182 + 0.559768i
\(51\) 3.06612 + 11.7711i 0.429343 + 1.64829i
\(52\) 3.50535 + 0.844105i 0.486105 + 0.117056i
\(53\) −9.68544 + 5.59189i −1.33040 + 0.768105i −0.985360 0.170484i \(-0.945467\pi\)
−0.345037 + 0.938589i \(0.612133\pi\)
\(54\) −3.59645 3.75040i −0.489415 0.510365i
\(55\) 1.75555 1.01357i 0.236718 0.136669i
\(56\) 2.37289 + 1.17020i 0.317091 + 0.156375i
\(57\) 8.04022 7.92869i 1.06495 1.05018i
\(58\) −3.89073 + 2.24631i −0.510878 + 0.294956i
\(59\) 7.07861i 0.921556i 0.887515 + 0.460778i \(0.152430\pi\)
−0.887515 + 0.460778i \(0.847570\pi\)
\(60\) −0.301446 + 1.09438i −0.0389165 + 0.141284i
\(61\) −13.2960 + 7.67646i −1.70238 + 0.982870i −0.759041 + 0.651043i \(0.774332\pi\)
−0.943340 + 0.331828i \(0.892335\pi\)
\(62\) −2.26475 3.92266i −0.287624 0.498179i
\(63\) 7.92674 0.408396i 0.998675 0.0514530i
\(64\) 1.00000 0.125000
\(65\) −1.71293 1.62775i −0.212463 0.201897i
\(66\) −5.16504 1.42270i −0.635773 0.175123i
\(67\) 3.46095 + 1.99818i 0.422822 + 0.244116i 0.696284 0.717766i \(-0.254835\pi\)
−0.273462 + 0.961883i \(0.588169\pi\)
\(68\) −7.02284 −0.851644
\(69\) 2.40574 0.626643i 0.289617 0.0754389i
\(70\) −0.963325 1.44174i −0.115139 0.172321i
\(71\) −0.469521 + 0.813235i −0.0557219 + 0.0965132i −0.892541 0.450967i \(-0.851079\pi\)
0.836819 + 0.547480i \(0.184413\pi\)
\(72\) 2.61877 1.46357i 0.308625 0.172483i
\(73\) −5.44642 9.43348i −0.637456 1.10411i −0.985989 0.166809i \(-0.946654\pi\)
0.348534 0.937296i \(-0.386680\pi\)
\(74\) 2.96384i 0.344539i
\(75\) −5.63663 + 5.55845i −0.650862 + 0.641834i
\(76\) 3.25972 + 5.64600i 0.373915 + 0.647641i
\(77\) 6.80442 4.54650i 0.775435 0.518122i
\(78\) 0.115588 + 6.24393i 0.0130878 + 0.706986i
\(79\) −1.40194 + 2.42822i −0.157730 + 0.273197i −0.934050 0.357143i \(-0.883751\pi\)
0.776320 + 0.630339i \(0.217084\pi\)
\(80\) −0.567570 0.327687i −0.0634563 0.0366365i
\(81\) 4.71595 7.66550i 0.523994 0.851722i
\(82\) 7.52039 4.34190i 0.830488 0.479483i
\(83\) 7.24087i 0.794789i 0.917648 + 0.397394i \(0.130085\pi\)
−0.917648 + 0.397394i \(0.869915\pi\)
\(84\) −0.925413 + 4.48816i −0.100971 + 0.489699i
\(85\) 3.98595 + 2.30129i 0.432337 + 0.249610i
\(86\) 0.0380219 0.0658559i 0.00410001 0.00710143i
\(87\) −5.46376 5.54062i −0.585777 0.594017i
\(88\) 1.54655 2.67870i 0.164863 0.285550i
\(89\) 10.9296i 1.15854i −0.815137 0.579268i \(-0.803338\pi\)
0.815137 0.579268i \(-0.196662\pi\)
\(90\) −1.96593 0.0274608i −0.207227 0.00289462i
\(91\) −7.33005 6.10494i −0.768399 0.639972i
\(92\) 1.43530i 0.149641i
\(93\) 5.58609 5.50861i 0.579251 0.571216i
\(94\) −8.04448 4.64448i −0.829725 0.479042i
\(95\) 4.27267i 0.438367i
\(96\) 0.436593 + 1.67612i 0.0445596 + 0.171069i
\(97\) −8.57395 + 14.8505i −0.870553 + 1.50784i −0.00912654 + 0.999958i \(0.502905\pi\)
−0.861426 + 0.507883i \(0.830428\pi\)
\(98\) −4.26126 5.55353i −0.430452 0.560991i
\(99\) 0.129604 9.27839i 0.0130256 0.932513i
\(100\) −2.28524 3.95816i −0.228524 0.395816i
\(101\) 3.72432 6.45070i 0.370583 0.641869i −0.619072 0.785334i \(-0.712491\pi\)
0.989655 + 0.143465i \(0.0458245\pi\)
\(102\) −3.06612 11.7711i −0.303591 1.16552i
\(103\) −15.3456 8.85976i −1.51204 0.872978i −0.999901 0.0140769i \(-0.995519\pi\)
−0.512141 0.858901i \(-0.671148\pi\)
\(104\) −3.50535 0.844105i −0.343728 0.0827713i
\(105\) 1.99595 2.24410i 0.194785 0.219002i
\(106\) 9.68544 5.59189i 0.940733 0.543132i
\(107\) 17.5930i 1.70078i −0.526155 0.850389i \(-0.676367\pi\)
0.526155 0.850389i \(-0.323633\pi\)
\(108\) 3.59645 + 3.75040i 0.346069 + 0.360883i
\(109\) −8.31249 + 4.79922i −0.796192 + 0.459682i −0.842138 0.539262i \(-0.818703\pi\)
0.0459460 + 0.998944i \(0.485370\pi\)
\(110\) −1.75555 + 1.01357i −0.167385 + 0.0966399i
\(111\) −4.96775 + 1.29399i −0.471518 + 0.122820i
\(112\) −2.37289 1.17020i −0.224217 0.110574i
\(113\) 2.25506 + 1.30196i 0.212138 + 0.122478i 0.602305 0.798266i \(-0.294249\pi\)
−0.390166 + 0.920744i \(0.627583\pi\)
\(114\) −8.04022 + 7.92869i −0.753035 + 0.742590i
\(115\) 0.470330 0.814635i 0.0438585 0.0759651i
\(116\) 3.89073 2.24631i 0.361245 0.208565i
\(117\) −10.4151 + 2.91979i −0.962879 + 0.269935i
\(118\) 7.07861i 0.651639i
\(119\) 16.6644 + 8.21813i 1.52763 + 0.753355i
\(120\) 0.301446 1.09438i 0.0275181 0.0999031i
\(121\) 0.716375 + 1.24080i 0.0651250 + 0.112800i
\(122\) 13.2960 7.67646i 1.20377 0.694994i
\(123\) 10.5609 + 10.7095i 0.952245 + 0.965639i
\(124\) 2.26475 + 3.92266i 0.203381 + 0.352266i
\(125\) 6.27225i 0.561007i
\(126\) −7.92674 + 0.408396i −0.706170 + 0.0363828i
\(127\) −3.11947 5.40309i −0.276808 0.479446i 0.693781 0.720186i \(-0.255943\pi\)
−0.970590 + 0.240739i \(0.922610\pi\)
\(128\) −1.00000 −0.0883883
\(129\) 0.126983 + 0.0349772i 0.0111802 + 0.00307957i
\(130\) 1.71293 + 1.62775i 0.150234 + 0.142763i
\(131\) 1.86046 3.22241i 0.162549 0.281543i −0.773233 0.634122i \(-0.781362\pi\)
0.935782 + 0.352579i \(0.114695\pi\)
\(132\) 5.16504 + 1.42270i 0.449559 + 0.123830i
\(133\) −1.12801 17.2119i −0.0978110 1.49246i
\(134\) −3.46095 1.99818i −0.298980 0.172616i
\(135\) −0.812284 3.30713i −0.0699102 0.284632i
\(136\) 7.02284 0.602203
\(137\) −6.92624 −0.591748 −0.295874 0.955227i \(-0.595611\pi\)
−0.295874 + 0.955227i \(0.595611\pi\)
\(138\) −2.40574 + 0.626643i −0.204790 + 0.0533434i
\(139\) −2.27775 1.31506i −0.193196 0.111542i 0.400282 0.916392i \(-0.368912\pi\)
−0.593478 + 0.804850i \(0.702246\pi\)
\(140\) 0.963325 + 1.44174i 0.0814158 + 0.121849i
\(141\) 4.27256 15.5113i 0.359814 1.30629i
\(142\) 0.469521 0.813235i 0.0394014 0.0682451i
\(143\) −7.68230 + 8.08434i −0.642426 + 0.676046i
\(144\) −2.61877 + 1.46357i −0.218231 + 0.121964i
\(145\) −2.94435 −0.244515
\(146\) 5.44642 + 9.43348i 0.450749 + 0.780720i
\(147\) 7.44796 9.56702i 0.614298 0.789074i
\(148\) 2.96384i 0.243626i
\(149\) −3.03198 5.25155i −0.248390 0.430224i 0.714689 0.699442i \(-0.246568\pi\)
−0.963079 + 0.269218i \(0.913235\pi\)
\(150\) 5.63663 5.55845i 0.460229 0.453845i
\(151\) −0.715824 + 0.413281i −0.0582530 + 0.0336324i −0.528844 0.848719i \(-0.677374\pi\)
0.470591 + 0.882352i \(0.344041\pi\)
\(152\) −3.25972 5.64600i −0.264398 0.457951i
\(153\) 18.3912 10.2784i 1.48684 0.830958i
\(154\) −6.80442 + 4.54650i −0.548316 + 0.366367i
\(155\) 2.96852i 0.238437i
\(156\) −0.115588 6.24393i −0.00925444 0.499914i
\(157\) 5.69728 3.28932i 0.454692 0.262517i −0.255118 0.966910i \(-0.582114\pi\)
0.709810 + 0.704393i \(0.248781\pi\)
\(158\) 1.40194 2.42822i 0.111532 0.193179i
\(159\) 13.6013 + 13.7926i 1.07865 + 1.09382i
\(160\) 0.567570 + 0.327687i 0.0448704 + 0.0259059i
\(161\) 1.67959 3.40582i 0.132370 0.268416i
\(162\) −4.71595 + 7.66550i −0.370520 + 0.602258i
\(163\) 3.86463 2.23125i 0.302701 0.174765i −0.340955 0.940080i \(-0.610750\pi\)
0.643656 + 0.765315i \(0.277417\pi\)
\(164\) −7.52039 + 4.34190i −0.587244 + 0.339045i
\(165\) −2.46532 2.50000i −0.191925 0.194625i
\(166\) 7.24087i 0.562000i
\(167\) 1.12359 0.648707i 0.0869463 0.0501985i −0.455896 0.890033i \(-0.650681\pi\)
0.542843 + 0.839834i \(0.317348\pi\)
\(168\) 0.925413 4.48816i 0.0713971 0.346269i
\(169\) 11.5750 + 5.91777i 0.890383 + 0.455213i
\(170\) −3.98595 2.30129i −0.305709 0.176501i
\(171\) −16.7998 10.0148i −1.28471 0.765849i
\(172\) −0.0380219 + 0.0658559i −0.00289915 + 0.00502147i
\(173\) −6.33267 10.9685i −0.481464 0.833919i 0.518310 0.855193i \(-0.326561\pi\)
−0.999774 + 0.0212733i \(0.993228\pi\)
\(174\) 5.46376 + 5.54062i 0.414207 + 0.420033i
\(175\) 0.790798 + 12.0665i 0.0597787 + 0.912140i
\(176\) −1.54655 + 2.67870i −0.116575 + 0.201915i
\(177\) 11.8646 3.09047i 0.891799 0.232294i
\(178\) 10.9296i 0.819209i
\(179\) −12.5760 7.26077i −0.939976 0.542696i −0.0500235 0.998748i \(-0.515930\pi\)
−0.889953 + 0.456052i \(0.849263\pi\)
\(180\) 1.96593 + 0.0274608i 0.146532 + 0.00204680i
\(181\) 3.57257i 0.265547i 0.991146 + 0.132773i \(0.0423883\pi\)
−0.991146 + 0.132773i \(0.957612\pi\)
\(182\) 7.33005 + 6.10494i 0.543340 + 0.452528i
\(183\) 18.6716 + 18.9343i 1.38025 + 1.39966i
\(184\) 1.43530i 0.105812i
\(185\) −0.971210 + 1.68219i −0.0714048 + 0.123677i
\(186\) −5.58609 + 5.50861i −0.409592 + 0.403911i
\(187\) 10.8612 18.8121i 0.794246 1.37568i
\(188\) 8.04448 + 4.64448i 0.586704 + 0.338734i
\(189\) −4.14528 13.1079i −0.301525 0.953458i
\(190\) 4.27267i 0.309972i
\(191\) −5.22709 + 3.01786i −0.378219 + 0.218365i −0.677043 0.735943i \(-0.736739\pi\)
0.298824 + 0.954308i \(0.403406\pi\)
\(192\) −0.436593 1.67612i −0.0315084 0.120964i
\(193\) −20.2555 11.6945i −1.45802 0.841791i −0.459111 0.888379i \(-0.651832\pi\)
−0.998914 + 0.0465881i \(0.985165\pi\)
\(194\) 8.57395 14.8505i 0.615574 1.06620i
\(195\) −1.98045 + 3.58175i −0.141823 + 0.256494i
\(196\) 4.26126 + 5.55353i 0.304375 + 0.396681i
\(197\) 7.90007 + 13.6833i 0.562857 + 0.974896i 0.997246 + 0.0741708i \(0.0236310\pi\)
−0.434389 + 0.900725i \(0.643036\pi\)
\(198\) −0.129604 + 9.27839i −0.00921052 + 0.659386i
\(199\) 24.5006i 1.73680i 0.495863 + 0.868401i \(0.334852\pi\)
−0.495863 + 0.868401i \(0.665148\pi\)
\(200\) 2.28524 + 3.95816i 0.161591 + 0.279884i
\(201\) 1.83817 6.67336i 0.129654 0.470703i
\(202\) −3.72432 + 6.45070i −0.262042 + 0.453870i
\(203\) −11.8609 + 0.777327i −0.832475 + 0.0545577i
\(204\) 3.06612 + 11.7711i 0.214671 + 0.824144i
\(205\) 5.69113 0.397486
\(206\) 15.3456 + 8.85976i 1.06918 + 0.617289i
\(207\) −2.10066 3.75873i −0.146006 0.261250i
\(208\) 3.50535 + 0.844105i 0.243052 + 0.0585282i
\(209\) −20.1653 −1.39486
\(210\) −1.99595 + 2.24410i −0.137734 + 0.154858i
\(211\) −5.93332 10.2768i −0.408467 0.707485i 0.586251 0.810129i \(-0.300603\pi\)
−0.994718 + 0.102644i \(0.967270\pi\)
\(212\) −9.68544 + 5.59189i −0.665198 + 0.384053i
\(213\) 1.56807 + 0.431923i 0.107442 + 0.0295949i
\(214\) 17.5930i 1.20263i
\(215\) 0.0431603 0.0249186i 0.00294351 0.00169943i
\(216\) −3.59645 3.75040i −0.244708 0.255183i
\(217\) −0.783707 11.9583i −0.0532015 0.811781i
\(218\) 8.31249 4.79922i 0.562993 0.325044i
\(219\) −13.4338 + 13.2475i −0.907772 + 0.895181i
\(220\) 1.75555 1.01357i 0.118359 0.0683347i
\(221\) −24.6175 5.92801i −1.65595 0.398761i
\(222\) 4.96775 1.29399i 0.333414 0.0868469i
\(223\) 11.4114 + 19.7652i 0.764166 + 1.32358i 0.940686 + 0.339278i \(0.110183\pi\)
−0.176520 + 0.984297i \(0.556484\pi\)
\(224\) 2.37289 + 1.17020i 0.158546 + 0.0781874i
\(225\) 11.7776 + 7.02091i 0.785170 + 0.468061i
\(226\) −2.25506 1.30196i −0.150005 0.0866052i
\(227\) 10.6843i 0.709140i 0.935029 + 0.354570i \(0.115373\pi\)
−0.935029 + 0.354570i \(0.884627\pi\)
\(228\) 8.04022 7.92869i 0.532476 0.525091i
\(229\) 1.86852 3.23637i 0.123475 0.213865i −0.797661 0.603106i \(-0.793929\pi\)
0.921136 + 0.389241i \(0.127263\pi\)
\(230\) −0.470330 + 0.814635i −0.0310126 + 0.0537154i
\(231\) −10.5913 9.42007i −0.696853 0.619795i
\(232\) −3.89073 + 2.24631i −0.255439 + 0.147478i
\(233\) 7.73067 + 4.46331i 0.506453 + 0.292401i 0.731375 0.681976i \(-0.238879\pi\)
−0.224921 + 0.974377i \(0.572212\pi\)
\(234\) 10.4151 2.91979i 0.680858 0.190873i
\(235\) −3.04387 5.27214i −0.198560 0.343917i
\(236\) 7.07861i 0.460778i
\(237\) 4.68208 + 1.28967i 0.304134 + 0.0837731i
\(238\) −16.6644 8.21813i −1.08020 0.532702i
\(239\) −2.27619 −0.147234 −0.0736172 0.997287i \(-0.523454\pi\)
−0.0736172 + 0.997287i \(0.523454\pi\)
\(240\) −0.301446 + 1.09438i −0.0194583 + 0.0706421i
\(241\) −4.13240 −0.266191 −0.133096 0.991103i \(-0.542492\pi\)
−0.133096 + 0.991103i \(0.542492\pi\)
\(242\) −0.716375 1.24080i −0.0460503 0.0797615i
\(243\) −14.9073 4.55780i −0.956301 0.292383i
\(244\) −13.2960 + 7.67646i −0.851191 + 0.491435i
\(245\) −0.598743 4.54838i −0.0382523 0.290585i
\(246\) −10.5609 10.7095i −0.673339 0.682810i
\(247\) 6.66064 + 22.5428i 0.423807 + 1.43436i
\(248\) −2.26475 3.92266i −0.143812 0.249089i
\(249\) 12.1366 3.16131i 0.769125 0.200340i
\(250\) 6.27225i 0.396692i
\(251\) −3.75716 + 6.50759i −0.237150 + 0.410756i −0.959895 0.280359i \(-0.909547\pi\)
0.722745 + 0.691114i \(0.242880\pi\)
\(252\) 7.92674 0.408396i 0.499338 0.0257265i
\(253\) −3.84474 2.21976i −0.241717 0.139555i
\(254\) 3.11947 + 5.40309i 0.195733 + 0.339020i
\(255\) 2.11701 7.68567i 0.132572 0.481296i
\(256\) 1.00000 0.0625000
\(257\) 25.2022 1.57207 0.786034 0.618184i \(-0.212131\pi\)
0.786034 + 0.618184i \(0.212131\pi\)
\(258\) −0.126983 0.0349772i −0.00790560 0.00217759i
\(259\) −3.46829 + 7.03287i −0.215509 + 0.437001i
\(260\) −1.71293 1.62775i −0.106231 0.100949i
\(261\) −6.90131 + 11.5769i −0.427181 + 0.716594i
\(262\) −1.86046 + 3.22241i −0.114940 + 0.199081i
\(263\) 17.2636 + 9.96713i 1.06452 + 0.614600i 0.926679 0.375855i \(-0.122651\pi\)
0.137839 + 0.990455i \(0.455984\pi\)
\(264\) −5.16504 1.42270i −0.317886 0.0875613i
\(265\) 7.32956 0.450251
\(266\) 1.12801 + 17.2119i 0.0691628 + 1.05533i
\(267\) −18.3194 + 4.77179i −1.12113 + 0.292029i
\(268\) 3.46095 + 1.99818i 0.211411 + 0.122058i
\(269\) −20.2140 −1.23247 −0.616235 0.787562i \(-0.711343\pi\)
−0.616235 + 0.787562i \(0.711343\pi\)
\(270\) 0.812284 + 3.30713i 0.0494340 + 0.201265i
\(271\) −26.4526 −1.60688 −0.803442 0.595383i \(-0.797000\pi\)
−0.803442 + 0.595383i \(0.797000\pi\)
\(272\) −7.02284 −0.425822
\(273\) −7.03238 + 14.9514i −0.425619 + 0.904903i
\(274\) 6.92624 0.418429
\(275\) 14.1370 0.852490
\(276\) 2.40574 0.626643i 0.144809 0.0377195i
\(277\) 3.36980 0.202472 0.101236 0.994862i \(-0.467720\pi\)
0.101236 + 0.994862i \(0.467720\pi\)
\(278\) 2.27775 + 1.31506i 0.136610 + 0.0788719i
\(279\) −11.6719 6.95795i −0.698781 0.416562i
\(280\) −0.963325 1.44174i −0.0575697 0.0861604i
\(281\) 20.1579 1.20252 0.601259 0.799055i \(-0.294666\pi\)
0.601259 + 0.799055i \(0.294666\pi\)
\(282\) −4.27256 + 15.5113i −0.254427 + 0.923684i
\(283\) 5.52469 + 3.18968i 0.328409 + 0.189607i 0.655134 0.755512i \(-0.272612\pi\)
−0.326726 + 0.945119i \(0.605945\pi\)
\(284\) −0.469521 + 0.813235i −0.0278610 + 0.0482566i
\(285\) −7.16152 + 1.86542i −0.424212 + 0.110498i
\(286\) 7.68230 8.08434i 0.454264 0.478037i
\(287\) 22.9260 1.50249i 1.35328 0.0886895i
\(288\) 2.61877 1.46357i 0.154313 0.0862415i
\(289\) 32.3202 1.90119
\(290\) 2.94435 0.172898
\(291\) 28.6346 + 7.88736i 1.67859 + 0.462365i
\(292\) −5.44642 9.43348i −0.318728 0.552053i
\(293\) 5.30689 + 3.06394i 0.310032 + 0.178997i 0.646941 0.762540i \(-0.276048\pi\)
−0.336909 + 0.941537i \(0.609381\pi\)
\(294\) −7.44796 + 9.56702i −0.434374 + 0.557960i
\(295\) 2.31957 4.01761i 0.135050 0.233914i
\(296\) 2.96384i 0.172269i
\(297\) −15.6083 + 3.83365i −0.905685 + 0.222451i
\(298\) 3.03198 + 5.25155i 0.175638 + 0.304214i
\(299\) −1.21155 + 5.03124i −0.0700655 + 0.290964i
\(300\) −5.63663 + 5.55845i −0.325431 + 0.320917i
\(301\) 0.167287 0.111776i 0.00964225 0.00644265i
\(302\) 0.715824 0.413281i 0.0411911 0.0237817i
\(303\) −12.4382 3.42608i −0.714555 0.196823i
\(304\) 3.25972 + 5.64600i 0.186958 + 0.323820i
\(305\) 10.0619 0.576143
\(306\) −18.3912 + 10.2784i −1.05136 + 0.587576i
\(307\) 5.38161 0.307145 0.153572 0.988137i \(-0.450922\pi\)
0.153572 + 0.988137i \(0.450922\pi\)
\(308\) 6.80442 4.54650i 0.387718 0.259061i
\(309\) −8.15028 + 29.5891i −0.463653 + 1.68327i
\(310\) 2.96852i 0.168600i
\(311\) 3.15077 + 5.45729i 0.178664 + 0.309454i 0.941423 0.337228i \(-0.109489\pi\)
−0.762759 + 0.646682i \(0.776156\pi\)
\(312\) 0.115588 + 6.24393i 0.00654388 + 0.353493i
\(313\) −9.08951 5.24783i −0.513770 0.296625i 0.220612 0.975362i \(-0.429194\pi\)
−0.734382 + 0.678737i \(0.762528\pi\)
\(314\) −5.69728 + 3.28932i −0.321516 + 0.185627i
\(315\) −4.63281 2.36570i −0.261029 0.133292i
\(316\) −1.40194 + 2.42822i −0.0788651 + 0.136598i
\(317\) 0.443737 0.768575i 0.0249227 0.0431674i −0.853295 0.521428i \(-0.825399\pi\)
0.878218 + 0.478261i \(0.158733\pi\)
\(318\) −13.6013 13.7926i −0.762722 0.773451i
\(319\) 13.8961i 0.778035i
\(320\) −0.567570 0.327687i −0.0317282 0.0183183i
\(321\) −29.4880 + 7.68097i −1.64586 + 0.428710i
\(322\) −1.67959 + 3.40582i −0.0936001 + 0.189799i
\(323\) −22.8925 39.6509i −1.27377 2.20624i
\(324\) 4.71595 7.66550i 0.261997 0.425861i
\(325\) −4.66948 15.8037i −0.259016 0.876632i
\(326\) −3.86463 + 2.23125i −0.214042 + 0.123577i
\(327\) 11.6732 + 11.8374i 0.645532 + 0.654612i
\(328\) 7.52039 4.34190i 0.415244 0.239741i
\(329\) −13.6537 20.4345i −0.752754 1.12659i
\(330\) 2.46532 + 2.50000i 0.135712 + 0.137621i
\(331\) 16.7252 9.65631i 0.919301 0.530759i 0.0358889 0.999356i \(-0.488574\pi\)
0.883412 + 0.468597i \(0.155240\pi\)
\(332\) 7.24087i 0.397394i
\(333\) 4.33777 + 7.76161i 0.237708 + 0.425334i
\(334\) −1.12359 + 0.648707i −0.0614803 + 0.0354957i
\(335\) −1.30955 2.26821i −0.0715486 0.123926i
\(336\) −0.925413 + 4.48816i −0.0504854 + 0.244849i
\(337\) −1.76473 −0.0961307 −0.0480654 0.998844i \(-0.515306\pi\)
−0.0480654 + 0.998844i \(0.515306\pi\)
\(338\) −11.5750 5.91777i −0.629596 0.321884i
\(339\) 1.19770 4.34819i 0.0650502 0.236161i
\(340\) 3.98595 + 2.30129i 0.216169 + 0.124805i
\(341\) −14.0102 −0.758694
\(342\) 16.7998 + 10.0148i 0.908427 + 0.541537i
\(343\) −3.61276 18.1645i −0.195071 0.980789i
\(344\) 0.0380219 0.0658559i 0.00205001 0.00355071i
\(345\) −1.57077 0.432666i −0.0845675 0.0232940i
\(346\) 6.33267 + 10.9685i 0.340446 + 0.589670i
\(347\) 22.7100i 1.21914i −0.792733 0.609569i \(-0.791343\pi\)
0.792733 0.609569i \(-0.208657\pi\)
\(348\) −5.46376 5.54062i −0.292889 0.297008i
\(349\) −0.756268 1.30990i −0.0404821 0.0701171i 0.845074 0.534649i \(-0.179556\pi\)
−0.885557 + 0.464532i \(0.846223\pi\)
\(350\) −0.790798 12.0665i −0.0422699 0.644981i
\(351\) 9.44110 + 16.1823i 0.503929 + 0.863745i
\(352\) 1.54655 2.67870i 0.0824313 0.142775i
\(353\) 28.2367 + 16.3025i 1.50289 + 0.867692i 0.999994 + 0.00334317i \(0.00106416\pi\)
0.502892 + 0.864349i \(0.332269\pi\)
\(354\) −11.8646 + 3.09047i −0.630597 + 0.164257i
\(355\) 0.532973 0.307712i 0.0282873 0.0163317i
\(356\) 10.9296i 0.579268i
\(357\) 6.49902 31.5196i 0.343965 1.66820i
\(358\) 12.5760 + 7.26077i 0.664664 + 0.383744i
\(359\) −3.19150 + 5.52784i −0.168441 + 0.291748i −0.937872 0.346982i \(-0.887207\pi\)
0.769431 + 0.638730i \(0.220540\pi\)
\(360\) −1.96593 0.0274608i −0.103614 0.00144731i
\(361\) −11.7515 + 20.3543i −0.618502 + 1.07128i
\(362\) 3.57257i 0.187770i
\(363\) 1.76696 1.74246i 0.0927416 0.0914552i
\(364\) −7.33005 6.10494i −0.384199 0.319986i
\(365\) 7.13889i 0.373666i
\(366\) −18.6716 18.9343i −0.975982 0.989710i
\(367\) −10.4124 6.01163i −0.543525 0.313804i 0.202981 0.979183i \(-0.434937\pi\)
−0.746506 + 0.665378i \(0.768270\pi\)
\(368\) 1.43530i 0.0748203i
\(369\) 13.3395 22.3770i 0.694429 1.16490i
\(370\) 0.971210 1.68219i 0.0504908 0.0874527i
\(371\) 29.5262 1.93505i 1.53292 0.100463i
\(372\) 5.58609 5.50861i 0.289625 0.285608i
\(373\) 10.8556 + 18.8024i 0.562081 + 0.973553i 0.997315 + 0.0732353i \(0.0233324\pi\)
−0.435234 + 0.900317i \(0.643334\pi\)
\(374\) −10.8612 + 18.8121i −0.561617 + 0.972749i
\(375\) 10.5131 2.73842i 0.542892 0.141411i
\(376\) −8.04448 4.64448i −0.414863 0.239521i
\(377\) 15.5345 4.58994i 0.800068 0.236394i
\(378\) 4.14528 + 13.1079i 0.213210 + 0.674197i
\(379\) −2.54234 + 1.46782i −0.130591 + 0.0753970i −0.563873 0.825862i \(-0.690689\pi\)
0.433281 + 0.901259i \(0.357356\pi\)
\(380\) 4.27267i 0.219183i
\(381\) −7.69429 + 7.58757i −0.394191 + 0.388723i
\(382\) 5.22709 3.01786i 0.267441 0.154407i
\(383\) −26.1275 + 15.0847i −1.33505 + 0.770793i −0.986069 0.166335i \(-0.946807\pi\)
−0.348984 + 0.937129i \(0.613473\pi\)
\(384\) 0.436593 + 1.67612i 0.0222798 + 0.0855343i
\(385\) −5.35181 + 0.350741i −0.272754 + 0.0178754i
\(386\) 20.2555 + 11.6945i 1.03098 + 0.595236i
\(387\) 0.00318631 0.228109i 0.000161969 0.0115955i
\(388\) −8.57395 + 14.8505i −0.435276 + 0.753921i
\(389\) 19.1621 11.0633i 0.971559 0.560930i 0.0718481 0.997416i \(-0.477110\pi\)
0.899711 + 0.436485i \(0.143777\pi\)
\(390\) 1.98045 3.58175i 0.100284 0.181369i
\(391\) 10.0799i 0.509762i
\(392\) −4.26126 5.55353i −0.215226 0.280496i
\(393\) −6.21342 1.71148i −0.313425 0.0863325i
\(394\) −7.90007 13.6833i −0.398000 0.689356i
\(395\) 1.59139 0.918792i 0.0800718 0.0462295i
\(396\) 0.129604 9.27839i 0.00651282 0.466256i
\(397\) 6.54053 + 11.3285i 0.328260 + 0.568562i 0.982167 0.188013i \(-0.0602046\pi\)
−0.653907 + 0.756575i \(0.726871\pi\)
\(398\) 24.5006i 1.22810i
\(399\) −28.3568 + 9.40528i −1.41961 + 0.470853i
\(400\) −2.28524 3.95816i −0.114262 0.197908i
\(401\) 6.92658 0.345897 0.172948 0.984931i \(-0.444671\pi\)
0.172948 + 0.984931i \(0.444671\pi\)
\(402\) −1.83817 + 6.67336i −0.0916795 + 0.332837i
\(403\) 4.62761 + 15.6620i 0.230517 + 0.780180i
\(404\) 3.72432 6.45070i 0.185292 0.320934i
\(405\) −5.18852 + 2.80536i −0.257819 + 0.139399i
\(406\) 11.8609 0.777327i 0.588648 0.0385781i
\(407\) 7.93923 + 4.58372i 0.393533 + 0.227206i
\(408\) −3.06612 11.7711i −0.151796 0.582758i
\(409\) 32.6793 1.61589 0.807944 0.589260i \(-0.200580\pi\)
0.807944 + 0.589260i \(0.200580\pi\)
\(410\) −5.69113 −0.281065
\(411\) 3.02395 + 11.6092i 0.149160 + 0.572641i
\(412\) −15.3456 8.85976i −0.756021 0.436489i
\(413\) 8.28340 16.7968i 0.407599 0.826516i
\(414\) 2.10066 + 3.75873i 0.103242 + 0.184732i
\(415\) 2.37274 4.10970i 0.116473 0.201737i
\(416\) −3.50535 0.844105i −0.171864 0.0413857i
\(417\) −1.20975 + 4.39192i −0.0592417 + 0.215073i
\(418\) 20.1653 0.986315
\(419\) 3.98319 + 6.89908i 0.194591 + 0.337042i 0.946766 0.321921i \(-0.104329\pi\)
−0.752175 + 0.658963i \(0.770995\pi\)
\(420\) 1.99595 2.24410i 0.0973924 0.109501i
\(421\) 14.1689i 0.690552i −0.938501 0.345276i \(-0.887785\pi\)
0.938501 0.345276i \(-0.112215\pi\)
\(422\) 5.93332 + 10.2768i 0.288830 + 0.500268i
\(423\) −27.8642 0.389216i −1.35480 0.0189243i
\(424\) 9.68544 5.59189i 0.470366 0.271566i
\(425\) 16.0489 + 27.7975i 0.778485 + 1.34838i
\(426\) −1.56807 0.431923i −0.0759733 0.0209267i
\(427\) 40.5331 2.65641i 1.96153 0.128552i
\(428\) 17.5930i 0.850389i
\(429\) 16.9044 + 9.34691i 0.816151 + 0.451273i
\(430\) −0.0431603 + 0.0249186i −0.00208137 + 0.00120168i
\(431\) −12.9721 + 22.4684i −0.624845 + 1.08226i 0.363725 + 0.931506i \(0.381505\pi\)
−0.988571 + 0.150758i \(0.951829\pi\)
\(432\) 3.59645 + 3.75040i 0.173034 + 0.180441i
\(433\) −14.7383 8.50919i −0.708280 0.408925i 0.102144 0.994770i \(-0.467430\pi\)
−0.810424 + 0.585844i \(0.800763\pi\)
\(434\) 0.783707 + 11.9583i 0.0376191 + 0.574016i
\(435\) 1.28548 + 4.93510i 0.0616342 + 0.236620i
\(436\) −8.31249 + 4.79922i −0.398096 + 0.229841i
\(437\) −8.10372 + 4.67868i −0.387653 + 0.223812i
\(438\) 13.4338 13.2475i 0.641892 0.632988i
\(439\) 29.6229i 1.41382i 0.707301 + 0.706912i \(0.249913\pi\)
−0.707301 + 0.706912i \(0.750087\pi\)
\(440\) −1.75555 + 1.01357i −0.0836926 + 0.0483199i
\(441\) −19.2872 8.30681i −0.918439 0.395562i
\(442\) 24.6175 + 5.92801i 1.17094 + 0.281967i
\(443\) −15.3962 8.88898i −0.731494 0.422328i 0.0874748 0.996167i \(-0.472120\pi\)
−0.818968 + 0.573839i \(0.805454\pi\)
\(444\) −4.96775 + 1.29399i −0.235759 + 0.0614100i
\(445\) −3.58149 + 6.20333i −0.169779 + 0.294066i
\(446\) −11.4114 19.7652i −0.540347 0.935909i
\(447\) −7.47850 + 7.37476i −0.353721 + 0.348814i
\(448\) −2.37289 1.17020i −0.112109 0.0552868i
\(449\) 11.2383 19.4653i 0.530369 0.918626i −0.469003 0.883197i \(-0.655387\pi\)
0.999372 0.0354297i \(-0.0112800\pi\)
\(450\) −11.7776 7.02091i −0.555199 0.330969i
\(451\) 26.8598i 1.26478i
\(452\) 2.25506 + 1.30196i 0.106069 + 0.0612391i
\(453\) 1.00523 + 1.01937i 0.0472300 + 0.0478943i
\(454\) 10.6843i 0.501438i
\(455\) 2.15981 + 5.86695i 0.101254 + 0.275047i
\(456\) −8.04022 + 7.92869i −0.376518 + 0.371295i
\(457\) 26.4676i 1.23810i −0.785350 0.619051i \(-0.787517\pi\)
0.785350 0.619051i \(-0.212483\pi\)
\(458\) −1.86852 + 3.23637i −0.0873101 + 0.151226i
\(459\) −25.2573 26.3385i −1.17891 1.22937i
\(460\) 0.470330 0.814635i 0.0219292 0.0379826i
\(461\) −6.02929 3.48101i −0.280812 0.162127i 0.352979 0.935631i \(-0.385169\pi\)
−0.633791 + 0.773504i \(0.718502\pi\)
\(462\) 10.5913 + 9.42007i 0.492750 + 0.438261i
\(463\) 10.3837i 0.482572i 0.970454 + 0.241286i \(0.0775692\pi\)
−0.970454 + 0.241286i \(0.922431\pi\)
\(464\) 3.89073 2.24631i 0.180623 0.104283i
\(465\) −4.97560 + 1.29603i −0.230738 + 0.0601021i
\(466\) −7.73067 4.46331i −0.358117 0.206759i
\(467\) 11.7463 20.3453i 0.543556 0.941467i −0.455140 0.890420i \(-0.650411\pi\)
0.998696 0.0510470i \(-0.0162558\pi\)
\(468\) −10.4151 + 2.91979i −0.481439 + 0.134968i
\(469\) −5.87419 8.79147i −0.271245 0.405953i
\(470\) 3.04387 + 5.27214i 0.140403 + 0.243186i
\(471\) −8.00070 8.11324i −0.368653 0.373838i
\(472\) 7.07861i 0.325819i
\(473\) −0.117606 0.203699i −0.00540751 0.00936608i
\(474\) −4.68208 1.28967i −0.215055 0.0592365i
\(475\) 14.8985 25.8050i 0.683590 1.18401i
\(476\) 16.6644 + 8.21813i 0.763814 + 0.376678i
\(477\) 17.1799 28.8192i 0.786612 1.31954i
\(478\) 2.27619 0.104110
\(479\) 7.41327 + 4.28005i 0.338721 + 0.195561i 0.659706 0.751524i \(-0.270681\pi\)
−0.320985 + 0.947084i \(0.604014\pi\)
\(480\) 0.301446 1.09438i 0.0137591 0.0499515i
\(481\) 2.50179 10.3893i 0.114072 0.473711i
\(482\) 4.13240 0.188226
\(483\) −6.44187 1.32825i −0.293115 0.0604373i
\(484\) 0.716375 + 1.24080i 0.0325625 + 0.0563999i
\(485\) 9.73264 5.61914i 0.441936 0.255152i
\(486\) 14.9073 + 4.55780i 0.676207 + 0.206746i
\(487\) 17.5739i 0.796348i −0.917310 0.398174i \(-0.869644\pi\)
0.917310 0.398174i \(-0.130356\pi\)
\(488\) 13.2960 7.67646i 0.601883 0.347497i
\(489\) −5.42711 5.50345i −0.245422 0.248875i
\(490\) 0.598743 + 4.54838i 0.0270485 + 0.205475i
\(491\) −7.73222 + 4.46420i −0.348950 + 0.201467i −0.664223 0.747535i \(-0.731237\pi\)
0.315273 + 0.949001i \(0.397904\pi\)
\(492\) 10.5609 + 10.7095i 0.476122 + 0.482819i
\(493\) −27.3240 + 15.7755i −1.23061 + 0.710493i
\(494\) −6.66064 22.5428i −0.299677 1.01425i
\(495\) −3.11397 + 5.22367i −0.139962 + 0.234786i
\(496\) 2.26475 + 3.92266i 0.101690 + 0.176133i
\(497\) 2.06577 1.38029i 0.0926626 0.0619143i
\(498\) −12.1366 + 3.16131i −0.543853 + 0.141662i
\(499\) −8.26926 4.77426i −0.370183 0.213725i 0.303355 0.952877i \(-0.401893\pi\)
−0.673538 + 0.739152i \(0.735226\pi\)
\(500\) 6.27225i 0.280503i
\(501\) −1.57787 1.60006i −0.0704938 0.0714854i
\(502\) 3.75716 6.50759i 0.167690 0.290448i
\(503\) 12.4146 21.5027i 0.553539 0.958757i −0.444477 0.895790i \(-0.646610\pi\)
0.998016 0.0629667i \(-0.0200562\pi\)
\(504\) −7.92674 + 0.408396i −0.353085 + 0.0181914i
\(505\) −4.22762 + 2.44082i −0.188127 + 0.108615i
\(506\) 3.84474 + 2.21976i 0.170920 + 0.0986806i
\(507\) 4.86536 21.9847i 0.216078 0.976376i
\(508\) −3.11947 5.40309i −0.138404 0.239723i
\(509\) 14.4428i 0.640168i −0.947389 0.320084i \(-0.896289\pi\)
0.947389 0.320084i \(-0.103711\pi\)
\(510\) −2.11701 + 7.68567i −0.0937427 + 0.340327i
\(511\) 1.88471 + 28.7581i 0.0833747 + 1.27218i
\(512\) −1.00000 −0.0441942
\(513\) −9.45134 + 32.5308i −0.417287 + 1.43627i
\(514\) −25.2022 −1.11162
\(515\) 5.80646 + 10.0571i 0.255863 + 0.443168i
\(516\) 0.126983 + 0.0349772i 0.00559010 + 0.00153979i
\(517\) −24.8824 + 14.3658i −1.09433 + 0.631809i
\(518\) 3.46829 7.03287i 0.152388 0.309007i
\(519\) −15.6197 + 15.4031i −0.685631 + 0.676121i
\(520\) 1.71293 + 1.62775i 0.0751170 + 0.0713814i
\(521\) 15.0954 + 26.1460i 0.661341 + 1.14548i 0.980264 + 0.197695i \(0.0633456\pi\)
−0.318923 + 0.947781i \(0.603321\pi\)
\(522\) 6.90131 11.5769i 0.302062 0.506709i
\(523\) 15.5942i 0.681887i 0.940084 + 0.340944i \(0.110747\pi\)
−0.940084 + 0.340944i \(0.889253\pi\)
\(524\) 1.86046 3.22241i 0.0812745 0.140772i
\(525\) 19.8796 6.59361i 0.867619 0.287769i
\(526\) −17.2636 9.96713i −0.752728 0.434588i
\(527\) −15.9050 27.5482i −0.692831 1.20002i
\(528\) 5.16504 + 1.42270i 0.224780 + 0.0619152i
\(529\) 20.9399 0.910431
\(530\) −7.32956 −0.318376
\(531\) −10.3600 18.5373i −0.449586 0.804449i
\(532\) −1.12801 17.2119i −0.0489055 0.746230i
\(533\) −30.0266 + 8.87188i −1.30060 + 0.384284i
\(534\) 18.3194 4.77179i 0.792757 0.206496i
\(535\) −5.76499 + 9.98526i −0.249242 + 0.431700i
\(536\) −3.46095 1.99818i −0.149490 0.0863082i
\(537\) −6.67934 + 24.2490i −0.288235 + 1.04642i
\(538\) 20.2140 0.871488
\(539\) −21.4665 + 2.82582i −0.924627 + 0.121717i
\(540\) −0.812284 3.30713i −0.0349551 0.142316i
\(541\) −36.0971 20.8407i −1.55194 0.896011i −0.997984 0.0634632i \(-0.979785\pi\)
−0.553953 0.832548i \(-0.686881\pi\)
\(542\) 26.4526 1.13624
\(543\) 5.98806 1.55976i 0.256972 0.0669356i
\(544\) 7.02284 0.301102
\(545\) 6.29056 0.269458
\(546\) 7.03238 14.9514i 0.300958 0.639863i
\(547\) −0.933149 −0.0398986 −0.0199493 0.999801i \(-0.506350\pi\)
−0.0199493 + 0.999801i \(0.506350\pi\)
\(548\) −6.92624 −0.295874
\(549\) 23.5843 39.5625i 1.00655 1.68849i
\(550\) −14.1370 −0.602802
\(551\) 25.3654 + 14.6447i 1.08060 + 0.623886i
\(552\) −2.40574 + 0.626643i −0.102395 + 0.0266717i
\(553\) 6.16816 4.12137i 0.262297 0.175259i
\(554\) −3.36980 −0.143169
\(555\) 3.24357 + 0.893437i 0.137682 + 0.0379243i
\(556\) −2.27775 1.31506i −0.0965979 0.0557708i
\(557\) −16.7603 + 29.0296i −0.710155 + 1.23002i 0.254644 + 0.967035i \(0.418042\pi\)
−0.964799 + 0.262990i \(0.915292\pi\)
\(558\) 11.6719 + 6.95795i 0.494113 + 0.294554i
\(559\) −0.188870 + 0.198754i −0.00798833 + 0.00840638i
\(560\) 0.963325 + 1.44174i 0.0407079 + 0.0609246i
\(561\) −36.2732 9.99141i −1.53146 0.421838i
\(562\) −20.1579 −0.850308
\(563\) 3.86351 0.162828 0.0814138 0.996680i \(-0.474056\pi\)
0.0814138 + 0.996680i \(0.474056\pi\)
\(564\) 4.27256 15.5113i 0.179907 0.653143i
\(565\) −0.853271 1.47791i −0.0358974 0.0621761i
\(566\) −5.52469 3.18968i −0.232220 0.134072i
\(567\) −20.1606 + 12.6708i −0.846667 + 0.532124i
\(568\) 0.469521 0.813235i 0.0197007 0.0341226i
\(569\) 26.9233i 1.12868i −0.825541 0.564342i \(-0.809130\pi\)
0.825541 0.564342i \(-0.190870\pi\)
\(570\) 7.16152 1.86542i 0.299963 0.0781337i
\(571\) 5.20460 + 9.01463i 0.217806 + 0.377250i 0.954137 0.299371i \(-0.0967768\pi\)
−0.736331 + 0.676621i \(0.763443\pi\)
\(572\) −7.68230 + 8.08434i −0.321213 + 0.338023i
\(573\) 7.34042 + 7.44367i 0.306651 + 0.310964i
\(574\) −22.9260 + 1.50249i −0.956912 + 0.0627129i
\(575\) 5.68115 3.28001i 0.236920 0.136786i
\(576\) −2.61877 + 1.46357i −0.109116 + 0.0609819i
\(577\) −10.2980 17.8366i −0.428711 0.742549i 0.568048 0.822995i \(-0.307699\pi\)
−0.996759 + 0.0804462i \(0.974365\pi\)
\(578\) −32.3202 −1.34434
\(579\) −10.7581 + 39.0565i −0.447089 + 1.62313i
\(580\) −2.94435 −0.122258
\(581\) 8.47328 17.1818i 0.351531 0.712822i
\(582\) −28.6346 7.88736i −1.18694 0.326942i
\(583\) 34.5925i 1.43268i
\(584\) 5.44642 + 9.43348i 0.225375 + 0.390360i
\(585\) 6.86809 + 1.75571i 0.283961 + 0.0725897i
\(586\) −5.30689 3.06394i −0.219226 0.126570i
\(587\) −23.7246 + 13.6974i −0.979217 + 0.565351i −0.902034 0.431666i \(-0.857926\pi\)
−0.0771834 + 0.997017i \(0.524593\pi\)
\(588\) 7.44796 9.56702i 0.307149 0.394537i
\(589\) −14.7649 + 25.5736i −0.608377 + 1.05374i
\(590\) −2.31957 + 4.01761i −0.0954951 + 0.165402i
\(591\) 19.4858 19.2155i 0.801539 0.790421i
\(592\) 2.96384i 0.121813i
\(593\) −11.0590 6.38494i −0.454141 0.262198i 0.255437 0.966826i \(-0.417781\pi\)
−0.709577 + 0.704628i \(0.751114\pi\)
\(594\) 15.6083 3.83365i 0.640416 0.157296i
\(595\) −6.76527 10.1251i −0.277349 0.415088i
\(596\) −3.03198 5.25155i −0.124195 0.215112i
\(597\) 41.0660 10.6968i 1.68072 0.437790i
\(598\) 1.21155 5.03124i 0.0495438 0.205743i
\(599\) 29.5140 17.0399i 1.20591 0.696231i 0.244045 0.969764i \(-0.421525\pi\)
0.961863 + 0.273533i \(0.0881921\pi\)
\(600\) 5.63663 5.55845i 0.230115 0.226923i
\(601\) −33.7422 + 19.4811i −1.37637 + 0.794649i −0.991721 0.128413i \(-0.959012\pi\)
−0.384652 + 0.923062i \(0.625678\pi\)
\(602\) −0.167287 + 0.111776i −0.00681810 + 0.00455564i
\(603\) −11.9879 0.167451i −0.488185 0.00681913i
\(604\) −0.715824 + 0.413281i −0.0291265 + 0.0168162i
\(605\) 0.938987i 0.0381752i
\(606\) 12.4382 + 3.42608i 0.505266 + 0.139175i
\(607\) −0.845852 + 0.488353i −0.0343321 + 0.0198216i −0.517068 0.855944i \(-0.672976\pi\)
0.482736 + 0.875766i \(0.339643\pi\)
\(608\) −3.25972 5.64600i −0.132199 0.228976i
\(609\) 6.48130 + 19.5410i 0.262635 + 0.791842i
\(610\) −10.0619 −0.407395
\(611\) 24.2783 + 23.0709i 0.982195 + 0.933350i
\(612\) 18.3912 10.2784i 0.743421 0.415479i
\(613\) 5.04618 + 2.91341i 0.203813 + 0.117672i 0.598433 0.801173i \(-0.295790\pi\)
−0.394620 + 0.918845i \(0.629124\pi\)
\(614\) −5.38161 −0.217184
\(615\) −2.48471 9.53904i −0.100193 0.384651i
\(616\) −6.80442 + 4.54650i −0.274158 + 0.183184i
\(617\) 10.4203 18.0485i 0.419506 0.726606i −0.576384 0.817179i \(-0.695537\pi\)
0.995890 + 0.0905731i \(0.0288699\pi\)
\(618\) 8.15028 29.5891i 0.327852 1.19025i
\(619\) −3.21016 5.56015i −0.129027 0.223481i 0.794273 0.607561i \(-0.207852\pi\)
−0.923300 + 0.384080i \(0.874519\pi\)
\(620\) 2.96852i 0.119219i
\(621\) −5.38296 + 5.16200i −0.216011 + 0.207144i
\(622\) −3.15077 5.45729i −0.126334 0.218817i
\(623\) −12.7899 + 25.9348i −0.512415 + 1.03906i
\(624\) −0.115588 6.24393i −0.00462722 0.249957i
\(625\) −9.37088 + 16.2308i −0.374835 + 0.649234i
\(626\) 9.08951 + 5.24783i 0.363290 + 0.209746i
\(627\) 8.80401 + 33.7994i 0.351598 + 1.34982i
\(628\) 5.69728 3.28932i 0.227346 0.131258i
\(629\) 20.8145i 0.829930i
\(630\) 4.63281 + 2.36570i 0.184576 + 0.0942516i
\(631\) −14.8774 8.58945i −0.592258 0.341941i 0.173732 0.984793i \(-0.444418\pi\)
−0.765990 + 0.642852i \(0.777751\pi\)
\(632\) 1.40194 2.42822i 0.0557660 0.0965896i
\(633\) −14.6348 + 14.4318i −0.581679 + 0.573611i
\(634\) −0.443737 + 0.768575i −0.0176230 + 0.0305240i
\(635\) 4.08884i 0.162261i
\(636\) 13.6013 + 13.7926i 0.539326 + 0.546912i
\(637\) 10.2494 + 23.0640i 0.406097 + 0.913830i
\(638\) 13.8961i 0.550153i
\(639\) 0.0393467 2.81685i 0.00155653 0.111433i
\(640\) 0.567570 + 0.327687i 0.0224352 + 0.0129530i
\(641\) 21.8700i 0.863814i 0.901918 + 0.431907i \(0.142159\pi\)
−0.901918 + 0.431907i \(0.857841\pi\)
\(642\) 29.4880 7.68097i 1.16380 0.303144i
\(643\) 4.78089 8.28074i 0.188540 0.326561i −0.756224 0.654313i \(-0.772958\pi\)
0.944764 + 0.327753i \(0.106291\pi\)
\(644\) 1.67959 3.40582i 0.0661852 0.134208i
\(645\) −0.0606101 0.0614626i −0.00238652 0.00242009i
\(646\) 22.8925 + 39.6509i 0.900692 + 1.56004i
\(647\) 16.3263 28.2780i 0.641854 1.11172i −0.343164 0.939275i \(-0.611499\pi\)
0.985018 0.172449i \(-0.0551680\pi\)
\(648\) −4.71595 + 7.66550i −0.185260 + 0.301129i
\(649\) −18.9615 10.9474i −0.744303 0.429724i
\(650\) 4.66948 + 15.8037i 0.183152 + 0.619873i
\(651\) −19.7014 + 6.53449i −0.772158 + 0.256107i
\(652\) 3.86463 2.23125i 0.151351 0.0873823i
\(653\) 38.2820i 1.49809i 0.662519 + 0.749045i \(0.269487\pi\)
−0.662519 + 0.749045i \(0.730513\pi\)
\(654\) −11.6732 11.8374i −0.456460 0.462881i
\(655\) −2.11188 + 1.21930i −0.0825181 + 0.0476418i
\(656\) −7.52039 + 4.34190i −0.293622 + 0.169523i
\(657\) 28.0695 + 16.7329i 1.09509 + 0.652814i
\(658\) 13.6537 + 20.4345i 0.532278 + 0.796621i
\(659\) 4.16940 + 2.40720i 0.162417 + 0.0937713i 0.579005 0.815324i \(-0.303441\pi\)
−0.416589 + 0.909095i \(0.636774\pi\)
\(660\) −2.46532 2.50000i −0.0959626 0.0973124i
\(661\) 6.39508 11.0766i 0.248740 0.430830i −0.714437 0.699700i \(-0.753317\pi\)
0.963176 + 0.268870i \(0.0866502\pi\)
\(662\) −16.7252 + 9.65631i −0.650044 + 0.375303i
\(663\) 0.811755 + 43.8501i 0.0315259 + 1.70300i
\(664\) 7.24087i 0.281000i
\(665\) −4.99989 + 10.1386i −0.193887 + 0.393158i
\(666\) −4.33777 7.76161i −0.168085 0.300756i
\(667\) 3.22414 + 5.58437i 0.124839 + 0.216228i
\(668\) 1.12359 0.648707i 0.0434732 0.0250992i
\(669\) 28.1467 27.7563i 1.08822 1.07312i
\(670\) 1.30955 + 2.26821i 0.0505925 + 0.0876288i
\(671\) 47.4881i 1.83326i
\(672\) 0.925413 4.48816i 0.0356986 0.173135i
\(673\) 20.4148 + 35.3595i 0.786934 + 1.36301i 0.927837 + 0.372986i \(0.121666\pi\)
−0.140903 + 0.990023i \(0.545000\pi\)
\(674\) 1.76473 0.0679747
\(675\) 6.62591 22.8059i 0.255031 0.877800i
\(676\) 11.5750 + 5.91777i 0.445191 + 0.227607i
\(677\) −1.70470 + 2.95263i −0.0655169 + 0.113479i −0.896923 0.442186i \(-0.854203\pi\)
0.831406 + 0.555665i \(0.187536\pi\)
\(678\) −1.19770 + 4.34819i −0.0459975 + 0.166991i
\(679\) 37.7232 25.2055i 1.44768 0.967297i
\(680\) −3.98595 2.30129i −0.152854 0.0882505i
\(681\) 17.9082 4.66468i 0.686242 0.178751i
\(682\) 14.0102 0.536478
\(683\) −6.61788 −0.253226 −0.126613 0.991952i \(-0.540411\pi\)
−0.126613 + 0.991952i \(0.540411\pi\)
\(684\) −16.7998 10.0148i −0.642355 0.382925i
\(685\) 3.93113 + 2.26964i 0.150201 + 0.0867184i
\(686\) 3.61276 + 18.1645i 0.137936 + 0.693523i
\(687\) −6.24033 1.71889i −0.238084 0.0655797i
\(688\) −0.0380219 + 0.0658559i −0.00144957 + 0.00251073i
\(689\) −38.6710 + 11.4260i −1.47325 + 0.435296i
\(690\) 1.57077 + 0.432666i 0.0597982 + 0.0164713i
\(691\) 48.1215 1.83063 0.915313 0.402742i \(-0.131943\pi\)
0.915313 + 0.402742i \(0.131943\pi\)
\(692\) −6.33267 10.9685i −0.240732 0.416960i
\(693\) −11.1651 + 21.8650i −0.424128 + 0.830582i
\(694\) 22.7100i 0.862061i
\(695\) 0.861854 + 1.49277i 0.0326920 + 0.0566242i
\(696\) 5.46376 + 5.54062i 0.207103 + 0.210017i
\(697\) 52.8145 30.4924i 2.00049 1.15498i
\(698\) 0.756268 + 1.30990i 0.0286252 + 0.0495803i
\(699\) 4.10589 14.9062i 0.155299 0.563805i
\(700\) 0.790798 + 12.0665i 0.0298894 + 0.456070i
\(701\) 37.9458i 1.43319i −0.697487 0.716597i \(-0.745699\pi\)
0.697487 0.716597i \(-0.254301\pi\)
\(702\) −9.44110 16.1823i −0.356331 0.610760i
\(703\) 16.7338 9.66127i 0.631128 0.364382i
\(704\) −1.54655 + 2.67870i −0.0582877 + 0.100957i
\(705\) −7.50783 + 7.40369i −0.282761 + 0.278839i
\(706\) −28.2367 16.3025i −1.06270 0.613551i
\(707\) −16.3860 + 10.9486i −0.616260 + 0.411766i
\(708\) 11.8646 3.09047i 0.445900 0.116147i
\(709\) −11.1532 + 6.43929i −0.418867 + 0.241833i −0.694592 0.719404i \(-0.744415\pi\)
0.275726 + 0.961236i \(0.411082\pi\)
\(710\) −0.532973 + 0.307712i −0.0200021 + 0.0115482i
\(711\) 0.117485 8.41080i 0.00440602 0.315429i
\(712\) 10.9296i 0.409605i
\(713\) −5.63021 + 3.25060i −0.210853 + 0.121736i
\(714\) −6.49902 + 31.5196i −0.243220 + 1.17959i
\(715\) 7.00938 2.07104i 0.262136 0.0774525i
\(716\) −12.5760 7.26077i −0.469988 0.271348i
\(717\) 0.993768 + 3.81517i 0.0371129 + 0.142480i
\(718\) 3.19150 5.52784i 0.119106 0.206297i
\(719\) 16.6678 + 28.8694i 0.621603 + 1.07665i 0.989187 + 0.146658i \(0.0468517\pi\)
−0.367584 + 0.929990i \(0.619815\pi\)
\(720\) 1.96593 + 0.0274608i 0.0732659 + 0.00102340i
\(721\) 26.0457 + 38.9807i 0.969992 + 1.45172i
\(722\) 11.7515 20.3543i 0.437347 0.757508i
\(723\) 1.80418 + 6.92640i 0.0670980 + 0.257596i
\(724\) 3.57257i 0.132773i
\(725\) −17.7825 10.2667i −0.660427 0.381297i
\(726\) −1.76696 + 1.74246i −0.0655782 + 0.0646686i
\(727\) 3.84364i 0.142553i 0.997457 + 0.0712764i \(0.0227072\pi\)
−0.997457 + 0.0712764i \(0.977293\pi\)
\(728\) 7.33005 + 6.10494i 0.271670 + 0.226264i
\(729\) −1.13103 + 26.9763i −0.0418900 + 0.999122i
\(730\) 7.13889i 0.264222i
\(731\) 0.267022 0.462495i 0.00987616 0.0171060i
\(732\) 18.6716 + 18.9343i 0.690124 + 0.699831i
\(733\) −21.0661 + 36.4875i −0.778093 + 1.34770i 0.154947 + 0.987923i \(0.450479\pi\)
−0.933040 + 0.359773i \(0.882854\pi\)
\(734\) 10.4124 + 6.01163i 0.384330 + 0.221893i
\(735\) −7.36223 + 2.98936i −0.271560 + 0.110264i
\(736\) 1.43530i 0.0529059i
\(737\) −10.7050 + 6.18056i −0.394325 + 0.227664i
\(738\) −13.3395 + 22.3770i −0.491035 + 0.823710i
\(739\) −15.5624 8.98495i −0.572471 0.330517i 0.185664 0.982613i \(-0.440556\pi\)
−0.758136 + 0.652097i \(0.773890\pi\)
\(740\) −0.971210 + 1.68219i −0.0357024 + 0.0618384i
\(741\) 34.8764 21.0061i 1.28122 0.771677i
\(742\) −29.5262 + 1.93505i −1.08394 + 0.0710379i
\(743\) 3.17479 + 5.49889i 0.116472 + 0.201735i 0.918367 0.395730i \(-0.129508\pi\)
−0.801895 + 0.597464i \(0.796175\pi\)
\(744\) −5.58609 + 5.50861i −0.204796 + 0.201955i
\(745\) 3.97416i 0.145602i
\(746\) −10.8556 18.8024i −0.397451 0.688406i
\(747\) −10.5975 18.9622i −0.387742 0.693790i
\(748\) 10.8612 18.8121i 0.397123 0.687838i
\(749\) −20.5873 + 41.7463i −0.752245 + 1.52538i
\(750\) −10.5131 + 2.73842i −0.383882 + 0.0999929i
\(751\) 31.4707 1.14838 0.574191 0.818721i \(-0.305317\pi\)
0.574191 + 0.818721i \(0.305317\pi\)
\(752\) 8.04448 + 4.64448i 0.293352 + 0.169367i
\(753\) 12.5479 + 3.45629i 0.457270 + 0.125954i
\(754\) −15.5345 + 4.58994i −0.565733 + 0.167156i
\(755\) 0.541708 0.0197148
\(756\) −4.14528 13.1079i −0.150762 0.476729i
\(757\) −2.57146 4.45391i −0.0934614 0.161880i 0.815504 0.578751i \(-0.196460\pi\)
−0.908965 + 0.416871i \(0.863127\pi\)
\(758\) 2.54234 1.46782i 0.0923421 0.0533137i
\(759\) −2.04201 + 7.41340i −0.0741202 + 0.269089i
\(760\) 4.27267i 0.154986i
\(761\) −6.50298 + 3.75450i −0.235733 + 0.136100i −0.613214 0.789917i \(-0.710124\pi\)
0.377481 + 0.926017i \(0.376790\pi\)
\(762\) 7.69429 7.58757i 0.278735 0.274869i
\(763\) 25.3407 1.66075i 0.917395 0.0601231i
\(764\) −5.22709 + 3.01786i −0.189110 + 0.109183i
\(765\) −13.8064 0.192852i −0.499171 0.00697259i
\(766\) 26.1275 15.0847i 0.944025 0.545033i
\(767\) −5.97509 + 24.8130i −0.215748 + 0.895946i
\(768\) −0.436593 1.67612i −0.0157542 0.0604819i
\(769\) 12.5070 + 21.6627i 0.451013 + 0.781177i 0.998449 0.0556704i \(-0.0177296\pi\)
−0.547437 + 0.836847i \(0.684396\pi\)
\(770\) 5.35181 0.350741i 0.192866 0.0126398i
\(771\) −11.0031 42.2419i −0.396266 1.52130i
\(772\) −20.2555 11.6945i −0.729012 0.420896i
\(773\) 13.2394i 0.476187i 0.971242 + 0.238093i \(0.0765224\pi\)
−0.971242 + 0.238093i \(0.923478\pi\)