Properties

Label 630.2.t.b.311.14
Level 630
Weight 2
Character 630.311
Analytic conductor 5.031
Analytic rank 0
Dimension 28
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 630.t (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.03057532734\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.14
Character \(\chi\) \(=\) 630.311
Dual form 630.2.t.b.551.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(1.64488 - 0.542569i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(1.69579 + 0.352560i) q^{6} +(-0.673503 + 2.55859i) q^{7} +1.00000i q^{8} +(2.41124 - 1.78492i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(1.64488 - 0.542569i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(1.69579 + 0.352560i) q^{6} +(-0.673503 + 2.55859i) q^{7} +1.00000i q^{8} +(2.41124 - 1.78492i) q^{9} +(-0.866025 - 0.500000i) q^{10} -1.46505i q^{11} +(1.29232 + 1.15322i) q^{12} +(6.03529 + 3.48448i) q^{13} +(-1.86257 + 1.87905i) q^{14} +(-1.64488 + 0.542569i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(3.30332 - 5.72151i) q^{17} +(2.98065 - 0.340166i) q^{18} +(-3.08388 + 1.78048i) q^{19} +(-0.500000 - 0.866025i) q^{20} +(0.280383 + 4.57399i) q^{21} +(0.732523 - 1.26877i) q^{22} +6.36259i q^{23} +(0.542569 + 1.64488i) q^{24} +1.00000 q^{25} +(3.48448 + 6.03529i) q^{26} +(2.99775 - 4.24423i) q^{27} +(-2.55256 + 0.696025i) q^{28} +(1.49409 - 0.862614i) q^{29} +(-1.69579 - 0.352560i) q^{30} +(-6.79817 + 3.92493i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-0.794889 - 2.40982i) q^{33} +(5.72151 - 3.30332i) q^{34} +(0.673503 - 2.55859i) q^{35} +(2.75140 + 1.19573i) q^{36} +(-2.75951 - 4.77962i) q^{37} -3.56096 q^{38} +(11.8179 + 2.45697i) q^{39} -1.00000i q^{40} +(-0.632413 + 1.09537i) q^{41} +(-2.04418 + 4.10138i) q^{42} +(-3.24581 - 5.62191i) q^{43} +(1.26877 - 0.732523i) q^{44} +(-2.41124 + 1.78492i) q^{45} +(-3.18129 + 5.51016i) q^{46} +(2.69880 - 4.67445i) q^{47} +(-0.352560 + 1.69579i) q^{48} +(-6.09279 - 3.44644i) q^{49} +(0.866025 + 0.500000i) q^{50} +(2.32923 - 11.2035i) q^{51} +6.96896i q^{52} +(-5.60809 - 3.23783i) q^{53} +(4.71824 - 2.17674i) q^{54} +1.46505i q^{55} +(-2.55859 - 0.673503i) q^{56} +(-4.10657 + 4.60189i) q^{57} +1.72523 q^{58} +(-0.746642 - 1.29322i) q^{59} +(-1.29232 - 1.15322i) q^{60} +(3.23540 + 1.86796i) q^{61} -7.84985 q^{62} +(2.94290 + 7.37152i) q^{63} -1.00000 q^{64} +(-6.03529 - 3.48448i) q^{65} +(0.516517 - 2.48441i) q^{66} +(-6.27490 - 10.8685i) q^{67} +6.60663 q^{68} +(3.45214 + 10.4657i) q^{69} +(1.86257 - 1.87905i) q^{70} -14.2133i q^{71} +(1.78492 + 2.41124i) q^{72} +(-1.11022 - 0.640987i) q^{73} -5.51903i q^{74} +(1.64488 - 0.542569i) q^{75} +(-3.08388 - 1.78048i) q^{76} +(3.74846 + 0.986714i) q^{77} +(9.00610 + 8.03674i) q^{78} +(-0.497005 + 0.860839i) q^{79} +(0.500000 - 0.866025i) q^{80} +(2.62813 - 8.60772i) q^{81} +(-1.09537 + 0.632413i) q^{82} +(5.93463 + 10.2791i) q^{83} +(-3.82100 + 2.52981i) q^{84} +(-3.30332 + 5.72151i) q^{85} -6.49162i q^{86} +(1.98957 - 2.22954i) q^{87} +1.46505 q^{88} +(-2.18741 - 3.78871i) q^{89} +(-2.98065 + 0.340166i) q^{90} +(-12.9801 + 13.0950i) q^{91} +(-5.51016 + 3.18129i) q^{92} +(-9.05261 + 10.1445i) q^{93} +(4.67445 - 2.69880i) q^{94} +(3.08388 - 1.78048i) q^{95} +(-1.15322 + 1.29232i) q^{96} +(-9.04933 + 5.22463i) q^{97} +(-3.55329 - 6.03110i) q^{98} +(-2.61499 - 3.53258i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} - 4q^{12} + 6q^{14} + 2q^{15} - 14q^{16} - 6q^{17} - 4q^{18} - 6q^{19} - 14q^{20} + 6q^{21} - 6q^{22} - 4q^{24} + 28q^{25} + 12q^{26} + 28q^{27} - 8q^{28} + 8q^{30} - 12q^{31} + 26q^{33} + 4q^{35} - 6q^{36} + 4q^{37} - 12q^{38} + 54q^{39} + 18q^{41} - 32q^{42} + 28q^{43} - 6q^{45} - 18q^{46} + 30q^{47} - 2q^{48} - 14q^{49} + 34q^{51} - 42q^{53} + 14q^{54} + 6q^{56} - 30q^{57} - 12q^{58} - 24q^{59} + 4q^{60} + 24q^{61} - 12q^{62} + 44q^{63} - 28q^{64} - 10q^{66} - 40q^{67} - 12q^{68} + 8q^{69} - 6q^{70} + 4q^{72} + 6q^{73} - 2q^{75} - 6q^{76} - 24q^{77} + 14q^{78} + 2q^{79} + 14q^{80} - 46q^{81} + 24q^{82} - 18q^{83} + 18q^{84} + 6q^{85} + 104q^{87} - 12q^{88} + 6q^{89} + 4q^{90} + 66q^{91} - 30q^{92} + 40q^{93} + 42q^{94} + 6q^{95} + 4q^{96} - 72q^{97} - 24q^{98} - 42q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 + 0.500000i 0.612372 + 0.353553i
\(3\) 1.64488 0.542569i 0.949670 0.313252i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.00000 −0.447214
\(6\) 1.69579 + 0.352560i 0.692303 + 0.143932i
\(7\) −0.673503 + 2.55859i −0.254560 + 0.967057i
\(8\) 1.00000i 0.353553i
\(9\) 2.41124 1.78492i 0.803746 0.594973i
\(10\) −0.866025 0.500000i −0.273861 0.158114i
\(11\) 1.46505i 0.441728i −0.975305 0.220864i \(-0.929112\pi\)
0.975305 0.220864i \(-0.0708877\pi\)
\(12\) 1.29232 + 1.15322i 0.373060 + 0.332906i
\(13\) 6.03529 + 3.48448i 1.67389 + 0.966420i 0.965428 + 0.260671i \(0.0839436\pi\)
0.708461 + 0.705750i \(0.249390\pi\)
\(14\) −1.86257 + 1.87905i −0.497792 + 0.502198i
\(15\) −1.64488 + 0.542569i −0.424705 + 0.140091i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 3.30332 5.72151i 0.801172 1.38767i −0.117673 0.993052i \(-0.537544\pi\)
0.918845 0.394618i \(-0.129123\pi\)
\(18\) 2.98065 0.340166i 0.702546 0.0801778i
\(19\) −3.08388 + 1.78048i −0.707491 + 0.408470i −0.810131 0.586249i \(-0.800604\pi\)
0.102640 + 0.994719i \(0.467271\pi\)
\(20\) −0.500000 0.866025i −0.111803 0.193649i
\(21\) 0.280383 + 4.57399i 0.0611845 + 0.998126i
\(22\) 0.732523 1.26877i 0.156175 0.270502i
\(23\) 6.36259i 1.32669i 0.748313 + 0.663346i \(0.230864\pi\)
−0.748313 + 0.663346i \(0.769136\pi\)
\(24\) 0.542569 + 1.64488i 0.110751 + 0.335759i
\(25\) 1.00000 0.200000
\(26\) 3.48448 + 6.03529i 0.683362 + 1.18362i
\(27\) 2.99775 4.24423i 0.576917 0.816803i
\(28\) −2.55256 + 0.696025i −0.482388 + 0.131536i
\(29\) 1.49409 0.862614i 0.277446 0.160183i −0.354821 0.934934i \(-0.615458\pi\)
0.632267 + 0.774751i \(0.282125\pi\)
\(30\) −1.69579 0.352560i −0.309607 0.0643683i
\(31\) −6.79817 + 3.92493i −1.22099 + 0.704937i −0.965128 0.261777i \(-0.915692\pi\)
−0.255859 + 0.966714i \(0.582358\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) −0.794889 2.40982i −0.138372 0.419496i
\(34\) 5.72151 3.30332i 0.981231 0.566514i
\(35\) 0.673503 2.55859i 0.113843 0.432481i
\(36\) 2.75140 + 1.19573i 0.458567 + 0.199289i
\(37\) −2.75951 4.77962i −0.453661 0.785764i 0.544949 0.838469i \(-0.316549\pi\)
−0.998610 + 0.0527049i \(0.983216\pi\)
\(38\) −3.56096 −0.577664
\(39\) 11.8179 + 2.45697i 1.89238 + 0.393431i
\(40\) 1.00000i 0.158114i
\(41\) −0.632413 + 1.09537i −0.0987663 + 0.171068i −0.911174 0.412021i \(-0.864823\pi\)
0.812408 + 0.583089i \(0.198156\pi\)
\(42\) −2.04418 + 4.10138i −0.315423 + 0.632857i
\(43\) −3.24581 5.62191i −0.494981 0.857333i 0.505002 0.863118i \(-0.331492\pi\)
−0.999983 + 0.00578540i \(0.998158\pi\)
\(44\) 1.26877 0.732523i 0.191274 0.110432i
\(45\) −2.41124 + 1.78492i −0.359446 + 0.266080i
\(46\) −3.18129 + 5.51016i −0.469056 + 0.812429i
\(47\) 2.69880 4.67445i 0.393660 0.681839i −0.599269 0.800547i \(-0.704542\pi\)
0.992929 + 0.118709i \(0.0378755\pi\)
\(48\) −0.352560 + 1.69579i −0.0508876 + 0.244766i
\(49\) −6.09279 3.44644i −0.870398 0.492349i
\(50\) 0.866025 + 0.500000i 0.122474 + 0.0707107i
\(51\) 2.32923 11.2035i 0.326158 1.56880i
\(52\) 6.96896i 0.966420i
\(53\) −5.60809 3.23783i −0.770331 0.444751i 0.0626620 0.998035i \(-0.480041\pi\)
−0.832993 + 0.553284i \(0.813374\pi\)
\(54\) 4.71824 2.17674i 0.642071 0.296217i
\(55\) 1.46505i 0.197547i
\(56\) −2.55859 0.673503i −0.341906 0.0900007i
\(57\) −4.10657 + 4.60189i −0.543929 + 0.609535i
\(58\) 1.72523 0.226534
\(59\) −0.746642 1.29322i −0.0972045 0.168363i 0.813322 0.581814i \(-0.197657\pi\)
−0.910527 + 0.413451i \(0.864323\pi\)
\(60\) −1.29232 1.15322i −0.166837 0.148880i
\(61\) 3.23540 + 1.86796i 0.414250 + 0.239167i 0.692614 0.721308i \(-0.256459\pi\)
−0.278364 + 0.960476i \(0.589792\pi\)
\(62\) −7.84985 −0.996932
\(63\) 2.94290 + 7.37152i 0.370771 + 0.928724i
\(64\) −1.00000 −0.125000
\(65\) −6.03529 3.48448i −0.748586 0.432196i
\(66\) 0.516517 2.48441i 0.0635788 0.305810i
\(67\) −6.27490 10.8685i −0.766602 1.32779i −0.939396 0.342835i \(-0.888613\pi\)
0.172794 0.984958i \(-0.444720\pi\)
\(68\) 6.60663 0.801172
\(69\) 3.45214 + 10.4657i 0.415589 + 1.25992i
\(70\) 1.86257 1.87905i 0.222619 0.224590i
\(71\) 14.2133i 1.68681i −0.537281 0.843403i \(-0.680549\pi\)
0.537281 0.843403i \(-0.319451\pi\)
\(72\) 1.78492 + 2.41124i 0.210355 + 0.284167i
\(73\) −1.11022 0.640987i −0.129942 0.0750218i 0.433620 0.901096i \(-0.357236\pi\)
−0.563562 + 0.826074i \(0.690569\pi\)
\(74\) 5.51903i 0.641574i
\(75\) 1.64488 0.542569i 0.189934 0.0626505i
\(76\) −3.08388 1.78048i −0.353745 0.204235i
\(77\) 3.74846 + 0.986714i 0.427176 + 0.112447i
\(78\) 9.00610 + 8.03674i 1.01974 + 0.909982i
\(79\) −0.497005 + 0.860839i −0.0559175 + 0.0968519i −0.892629 0.450792i \(-0.851142\pi\)
0.836712 + 0.547644i \(0.184475\pi\)
\(80\) 0.500000 0.866025i 0.0559017 0.0968246i
\(81\) 2.62813 8.60772i 0.292015 0.956414i
\(82\) −1.09537 + 0.632413i −0.120964 + 0.0698383i
\(83\) 5.93463 + 10.2791i 0.651411 + 1.12828i 0.982781 + 0.184776i \(0.0591559\pi\)
−0.331370 + 0.943501i \(0.607511\pi\)
\(84\) −3.82100 + 2.52981i −0.416905 + 0.276025i
\(85\) −3.30332 + 5.72151i −0.358295 + 0.620585i
\(86\) 6.49162i 0.700009i
\(87\) 1.98957 2.22954i 0.213304 0.239032i
\(88\) 1.46505 0.156175
\(89\) −2.18741 3.78871i −0.231865 0.401602i 0.726492 0.687175i \(-0.241149\pi\)
−0.958357 + 0.285573i \(0.907816\pi\)
\(90\) −2.98065 + 0.340166i −0.314188 + 0.0358566i
\(91\) −12.9801 + 13.0950i −1.36069 + 1.37273i
\(92\) −5.51016 + 3.18129i −0.574474 + 0.331673i
\(93\) −9.05261 + 10.1445i −0.938712 + 1.05194i
\(94\) 4.67445 2.69880i 0.482133 0.278360i
\(95\) 3.08388 1.78048i 0.316400 0.182673i
\(96\) −1.15322 + 1.29232i −0.117700 + 0.131897i
\(97\) −9.04933 + 5.22463i −0.918820 + 0.530481i −0.883259 0.468886i \(-0.844655\pi\)
−0.0355618 + 0.999367i \(0.511322\pi\)
\(98\) −3.55329 6.03110i −0.358936 0.609233i
\(99\) −2.61499 3.53258i −0.262816 0.355037i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) −2.03966 −0.202954 −0.101477 0.994838i \(-0.532357\pi\)
−0.101477 + 0.994838i \(0.532357\pi\)
\(102\) 7.61890 8.53786i 0.754384 0.845374i
\(103\) 3.18039i 0.313373i 0.987648 + 0.156687i \(0.0500813\pi\)
−0.987648 + 0.156687i \(0.949919\pi\)
\(104\) −3.48448 + 6.03529i −0.341681 + 0.591809i
\(105\) −0.280383 4.57399i −0.0273626 0.446376i
\(106\) −3.23783 5.60809i −0.314486 0.544706i
\(107\) −13.7903 + 7.96185i −1.33316 + 0.769701i −0.985783 0.168024i \(-0.946261\pi\)
−0.347379 + 0.937725i \(0.612928\pi\)
\(108\) 5.17449 + 0.474009i 0.497915 + 0.0456115i
\(109\) −3.60853 + 6.25017i −0.345635 + 0.598657i −0.985469 0.169856i \(-0.945670\pi\)
0.639834 + 0.768513i \(0.279003\pi\)
\(110\) −0.732523 + 1.26877i −0.0698434 + 0.120972i
\(111\) −7.13233 6.36466i −0.676971 0.604106i
\(112\) −1.87905 1.86257i −0.177554 0.175996i
\(113\) 5.42707 + 3.13332i 0.510536 + 0.294758i 0.733054 0.680170i \(-0.238094\pi\)
−0.222518 + 0.974929i \(0.571428\pi\)
\(114\) −5.85734 + 1.93207i −0.548590 + 0.180955i
\(115\) 6.36259i 0.593314i
\(116\) 1.49409 + 0.862614i 0.138723 + 0.0800917i
\(117\) 20.7720 2.37060i 1.92038 0.219162i
\(118\) 1.49328i 0.137468i
\(119\) 12.4142 + 12.3053i 1.13801 + 1.12802i
\(120\) −0.542569 1.64488i −0.0495295 0.150156i
\(121\) 8.85364 0.804876
\(122\) 1.86796 + 3.23540i 0.169117 + 0.292919i
\(123\) −0.445927 + 2.14488i −0.0402079 + 0.193397i
\(124\) −6.79817 3.92493i −0.610494 0.352469i
\(125\) −1.00000 −0.0894427
\(126\) −1.13713 + 7.85538i −0.101304 + 0.699812i
\(127\) −0.914380 −0.0811381 −0.0405691 0.999177i \(-0.512917\pi\)
−0.0405691 + 0.999177i \(0.512917\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) −8.38923 7.48627i −0.738630 0.659129i
\(130\) −3.48448 6.03529i −0.305609 0.529330i
\(131\) 9.89874 0.864857 0.432429 0.901668i \(-0.357657\pi\)
0.432429 + 0.901668i \(0.357657\pi\)
\(132\) 1.68952 1.89330i 0.147054 0.164791i
\(133\) −2.47852 9.08955i −0.214915 0.788164i
\(134\) 12.5498i 1.08414i
\(135\) −2.99775 + 4.24423i −0.258005 + 0.365285i
\(136\) 5.72151 + 3.30332i 0.490616 + 0.283257i
\(137\) 12.0482i 1.02935i −0.857385 0.514675i \(-0.827912\pi\)
0.857385 0.514675i \(-0.172088\pi\)
\(138\) −2.24319 + 10.7896i −0.190953 + 0.918473i
\(139\) 15.6077 + 9.01113i 1.32383 + 0.764314i 0.984338 0.176294i \(-0.0564110\pi\)
0.339494 + 0.940608i \(0.389744\pi\)
\(140\) 2.55256 0.696025i 0.215730 0.0588248i
\(141\) 1.90297 9.15318i 0.160259 0.770837i
\(142\) 7.10664 12.3091i 0.596376 1.03295i
\(143\) 5.10492 8.84199i 0.426895 0.739404i
\(144\) 0.340166 + 2.98065i 0.0283471 + 0.248388i
\(145\) −1.49409 + 0.862614i −0.124078 + 0.0716362i
\(146\) −0.640987 1.11022i −0.0530484 0.0918826i
\(147\) −11.8918 2.36321i −0.980820 0.194915i
\(148\) 2.75951 4.77962i 0.226831 0.392882i
\(149\) 8.59537i 0.704160i −0.935970 0.352080i \(-0.885474\pi\)
0.935970 0.352080i \(-0.114526\pi\)
\(150\) 1.69579 + 0.352560i 0.138461 + 0.0287864i
\(151\) −2.60771 −0.212213 −0.106106 0.994355i \(-0.533838\pi\)
−0.106106 + 0.994355i \(0.533838\pi\)
\(152\) −1.78048 3.08388i −0.144416 0.250136i
\(153\) −2.24735 19.6921i −0.181687 1.59201i
\(154\) 2.75290 + 2.72875i 0.221835 + 0.219889i
\(155\) 6.79817 3.92493i 0.546042 0.315258i
\(156\) 3.78114 + 11.4631i 0.302733 + 0.917780i
\(157\) −6.74663 + 3.89517i −0.538440 + 0.310868i −0.744446 0.667682i \(-0.767287\pi\)
0.206006 + 0.978551i \(0.433953\pi\)
\(158\) −0.860839 + 0.497005i −0.0684847 + 0.0395396i
\(159\) −10.9814 2.28306i −0.870879 0.181058i
\(160\) 0.866025 0.500000i 0.0684653 0.0395285i
\(161\) −16.2793 4.28523i −1.28299 0.337723i
\(162\) 6.57989 6.14044i 0.516965 0.482439i
\(163\) −4.14705 7.18290i −0.324822 0.562608i 0.656654 0.754192i \(-0.271971\pi\)
−0.981476 + 0.191584i \(0.938638\pi\)
\(164\) −1.26483 −0.0987663
\(165\) 0.794889 + 2.40982i 0.0618820 + 0.187604i
\(166\) 11.8693i 0.921234i
\(167\) −6.88497 + 11.9251i −0.532775 + 0.922793i 0.466493 + 0.884525i \(0.345517\pi\)
−0.999268 + 0.0382680i \(0.987816\pi\)
\(168\) −4.57399 + 0.280383i −0.352891 + 0.0216320i
\(169\) 17.7832 + 30.8014i 1.36794 + 2.36934i
\(170\) −5.72151 + 3.30332i −0.438820 + 0.253353i
\(171\) −4.25796 + 9.79763i −0.325614 + 0.749244i
\(172\) 3.24581 5.62191i 0.247491 0.428666i
\(173\) 5.81971 10.0800i 0.442464 0.766371i −0.555407 0.831578i \(-0.687438\pi\)
0.997872 + 0.0652078i \(0.0207710\pi\)
\(174\) 2.83779 0.936056i 0.215132 0.0709622i
\(175\) −0.673503 + 2.55859i −0.0509121 + 0.193411i
\(176\) 1.26877 + 0.732523i 0.0956370 + 0.0552160i
\(177\) −1.92980 1.72209i −0.145052 0.129440i
\(178\) 4.37482i 0.327907i
\(179\) −1.21808 0.703262i −0.0910439 0.0525642i 0.453787 0.891110i \(-0.350073\pi\)
−0.544831 + 0.838546i \(0.683406\pi\)
\(180\) −2.75140 1.19573i −0.205077 0.0891248i
\(181\) 10.1582i 0.755054i 0.925998 + 0.377527i \(0.123226\pi\)
−0.925998 + 0.377527i \(0.876774\pi\)
\(182\) −17.7887 + 4.85057i −1.31858 + 0.359548i
\(183\) 6.33533 + 1.31713i 0.468321 + 0.0973653i
\(184\) −6.36259 −0.469056
\(185\) 2.75951 + 4.77962i 0.202884 + 0.351405i
\(186\) −12.9120 + 4.25909i −0.946756 + 0.312291i
\(187\) −8.38228 4.83951i −0.612973 0.353900i
\(188\) 5.39759 0.393660
\(189\) 8.84027 + 10.5285i 0.643035 + 0.765837i
\(190\) 3.56096 0.258339
\(191\) −14.8301 8.56216i −1.07307 0.619536i −0.144050 0.989570i \(-0.546012\pi\)
−0.929018 + 0.370035i \(0.879346\pi\)
\(192\) −1.64488 + 0.542569i −0.118709 + 0.0391565i
\(193\) −0.966528 1.67408i −0.0695722 0.120503i 0.829141 0.559040i \(-0.188830\pi\)
−0.898713 + 0.438537i \(0.855497\pi\)
\(194\) −10.4493 −0.750214
\(195\) −11.8179 2.45697i −0.846296 0.175948i
\(196\) −0.0616877 6.99973i −0.00440627 0.499981i
\(197\) 22.0136i 1.56840i −0.620508 0.784200i \(-0.713073\pi\)
0.620508 0.784200i \(-0.286927\pi\)
\(198\) −0.498358 4.36679i −0.0354168 0.310335i
\(199\) 23.0430 + 13.3039i 1.63348 + 0.943088i 0.983010 + 0.183554i \(0.0587604\pi\)
0.650468 + 0.759534i \(0.274573\pi\)
\(200\) 1.00000i 0.0707107i
\(201\) −16.2183 14.4727i −1.14395 1.02083i
\(202\) −1.76640 1.01983i −0.124283 0.0717550i
\(203\) 1.20080 + 4.40375i 0.0842798 + 0.309082i
\(204\) 10.8671 3.58455i 0.760849 0.250969i
\(205\) 0.632413 1.09537i 0.0441696 0.0765041i
\(206\) −1.59020 + 2.75430i −0.110794 + 0.191901i
\(207\) 11.3567 + 15.3417i 0.789345 + 1.06632i
\(208\) −6.03529 + 3.48448i −0.418472 + 0.241605i
\(209\) 2.60849 + 4.51803i 0.180433 + 0.312519i
\(210\) 2.04418 4.10138i 0.141062 0.283022i
\(211\) −3.44298 + 5.96341i −0.237024 + 0.410538i −0.959859 0.280483i \(-0.909505\pi\)
0.722835 + 0.691021i \(0.242839\pi\)
\(212\) 6.47567i 0.444751i
\(213\) −7.71169 23.3791i −0.528396 1.60191i
\(214\) −15.9237 −1.08852
\(215\) 3.24581 + 5.62191i 0.221362 + 0.383411i
\(216\) 4.24423 + 2.99775i 0.288783 + 0.203971i
\(217\) −5.46369 20.0372i −0.370900 1.36021i
\(218\) −6.25017 + 3.60853i −0.423315 + 0.244401i
\(219\) −2.17396 0.451972i −0.146902 0.0305415i
\(220\) −1.26877 + 0.732523i −0.0855403 + 0.0493867i
\(221\) 39.8730 23.0207i 2.68215 1.54854i
\(222\) −2.99445 9.07812i −0.200975 0.609284i
\(223\) −11.6938 + 6.75140i −0.783072 + 0.452107i −0.837518 0.546410i \(-0.815994\pi\)
0.0544458 + 0.998517i \(0.482661\pi\)
\(224\) −0.696025 2.55256i −0.0465051 0.170550i
\(225\) 2.41124 1.78492i 0.160749 0.118995i
\(226\) 3.13332 + 5.42707i 0.208426 + 0.361004i
\(227\) −21.4981 −1.42688 −0.713438 0.700718i \(-0.752863\pi\)
−0.713438 + 0.700718i \(0.752863\pi\)
\(228\) −6.03864 1.25545i −0.399918 0.0831443i
\(229\) 22.5093i 1.48745i −0.668484 0.743727i \(-0.733056\pi\)
0.668484 0.743727i \(-0.266944\pi\)
\(230\) 3.18129 5.51016i 0.209768 0.363329i
\(231\) 6.70111 0.410774i 0.440901 0.0270269i
\(232\) 0.862614 + 1.49409i 0.0566334 + 0.0980919i
\(233\) 15.4408 8.91477i 1.01156 0.584026i 0.0999142 0.994996i \(-0.468143\pi\)
0.911649 + 0.410970i \(0.134810\pi\)
\(234\) 19.1744 + 8.33302i 1.25347 + 0.544746i
\(235\) −2.69880 + 4.67445i −0.176050 + 0.304928i
\(236\) 0.746642 1.29322i 0.0486023 0.0841816i
\(237\) −0.350448 + 1.68563i −0.0227641 + 0.109494i
\(238\) 4.59838 + 16.8638i 0.298069 + 1.09312i
\(239\) 13.7144 + 7.91804i 0.887114 + 0.512175i 0.872997 0.487725i \(-0.162173\pi\)
0.0141164 + 0.999900i \(0.495506\pi\)
\(240\) 0.352560 1.69579i 0.0227576 0.109463i
\(241\) 26.4244i 1.70215i 0.525048 + 0.851073i \(0.324047\pi\)
−0.525048 + 0.851073i \(0.675953\pi\)
\(242\) 7.66748 + 4.42682i 0.492884 + 0.284567i
\(243\) −0.347327 15.5846i −0.0222810 0.999752i
\(244\) 3.73592i 0.239167i
\(245\) 6.09279 + 3.44644i 0.389254 + 0.220185i
\(246\) −1.45862 + 1.63456i −0.0929984 + 0.104215i
\(247\) −24.8162 −1.57901
\(248\) −3.92493 6.79817i −0.249233 0.431684i
\(249\) 15.3389 + 13.6879i 0.972061 + 0.867434i
\(250\) −0.866025 0.500000i −0.0547723 0.0316228i
\(251\) 27.9912 1.76679 0.883395 0.468628i \(-0.155252\pi\)
0.883395 + 0.468628i \(0.155252\pi\)
\(252\) −4.91248 + 6.23439i −0.309457 + 0.392729i
\(253\) 9.32149 0.586037
\(254\) −0.791877 0.457190i −0.0496868 0.0286867i
\(255\) −2.32923 + 11.2035i −0.145862 + 0.701588i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −14.4304 −0.900143 −0.450072 0.892993i \(-0.648602\pi\)
−0.450072 + 0.892993i \(0.648602\pi\)
\(258\) −3.52215 10.6779i −0.219280 0.664778i
\(259\) 14.0876 3.84138i 0.875363 0.238692i
\(260\) 6.96896i 0.432196i
\(261\) 2.06291 4.74680i 0.127691 0.293820i
\(262\) 8.57256 + 4.94937i 0.529615 + 0.305773i
\(263\) 1.61144i 0.0993659i 0.998765 + 0.0496830i \(0.0158211\pi\)
−0.998765 + 0.0496830i \(0.984179\pi\)
\(264\) 2.40982 0.794889i 0.148314 0.0489220i
\(265\) 5.60809 + 3.23783i 0.344502 + 0.198898i
\(266\) 2.39832 9.11104i 0.147050 0.558634i
\(267\) −5.65366 5.04514i −0.345998 0.308757i
\(268\) 6.27490 10.8685i 0.383301 0.663896i
\(269\) −2.06266 + 3.57264i −0.125763 + 0.217828i −0.922031 0.387116i \(-0.873471\pi\)
0.796268 + 0.604944i \(0.206804\pi\)
\(270\) −4.71824 + 2.17674i −0.287143 + 0.132472i
\(271\) −4.02680 + 2.32488i −0.244611 + 0.141226i −0.617294 0.786732i \(-0.711771\pi\)
0.372683 + 0.927959i \(0.378438\pi\)
\(272\) 3.30332 + 5.72151i 0.200293 + 0.346918i
\(273\) −14.2458 + 28.5824i −0.862194 + 1.72988i
\(274\) 6.02412 10.4341i 0.363930 0.630346i
\(275\) 1.46505i 0.0883456i
\(276\) −7.33747 + 8.22248i −0.441664 + 0.494935i
\(277\) 23.4240 1.40741 0.703705 0.710492i \(-0.251528\pi\)
0.703705 + 0.710492i \(0.251528\pi\)
\(278\) 9.01113 + 15.6077i 0.540452 + 0.936090i
\(279\) −9.38633 + 21.5981i −0.561945 + 1.29304i
\(280\) 2.55859 + 0.673503i 0.152905 + 0.0402495i
\(281\) −17.5671 + 10.1424i −1.04797 + 0.605043i −0.922079 0.387001i \(-0.873511\pi\)
−0.125887 + 0.992045i \(0.540178\pi\)
\(282\) 6.22461 6.97540i 0.370670 0.415379i
\(283\) 4.97417 2.87184i 0.295684 0.170713i −0.344819 0.938669i \(-0.612060\pi\)
0.640502 + 0.767956i \(0.278726\pi\)
\(284\) 12.3091 7.10664i 0.730408 0.421702i
\(285\) 4.10657 4.60189i 0.243252 0.272592i
\(286\) 8.84199 5.10492i 0.522838 0.301860i
\(287\) −2.37668 2.35582i −0.140291 0.139060i
\(288\) −1.19573 + 2.75140i −0.0704593 + 0.162128i
\(289\) −13.3238 23.0775i −0.783753 1.35750i
\(290\) −1.72523 −0.101309
\(291\) −12.0503 + 13.5038i −0.706402 + 0.791605i
\(292\) 1.28197i 0.0750218i
\(293\) −10.7874 + 18.6844i −0.630209 + 1.09155i 0.357300 + 0.933990i \(0.383697\pi\)
−0.987509 + 0.157564i \(0.949636\pi\)
\(294\) −9.11701 7.99251i −0.531715 0.466133i
\(295\) 0.746642 + 1.29322i 0.0434712 + 0.0752943i
\(296\) 4.77962 2.75951i 0.277810 0.160393i
\(297\) −6.21800 4.39184i −0.360805 0.254840i
\(298\) 4.29769 7.44381i 0.248958 0.431208i
\(299\) −22.1703 + 38.4001i −1.28214 + 2.22073i
\(300\) 1.29232 + 1.15322i 0.0746119 + 0.0665812i
\(301\) 16.5702 4.51833i 0.955092 0.260432i
\(302\) −2.25835 1.30386i −0.129953 0.0750285i
\(303\) −3.35499 + 1.10666i −0.192739 + 0.0635758i
\(304\) 3.56096i 0.204235i
\(305\) −3.23540 1.86796i −0.185258 0.106959i
\(306\) 7.89978 18.1775i 0.451600 1.03914i
\(307\) 5.22295i 0.298090i 0.988830 + 0.149045i \(0.0476199\pi\)
−0.988830 + 0.149045i \(0.952380\pi\)
\(308\) 1.01971 + 3.73962i 0.0581033 + 0.213084i
\(309\) 1.72558 + 5.23135i 0.0981649 + 0.297601i
\(310\) 7.84985 0.445842
\(311\) −6.61784 11.4624i −0.375263 0.649975i 0.615103 0.788447i \(-0.289114\pi\)
−0.990366 + 0.138472i \(0.955781\pi\)
\(312\) −2.45697 + 11.8179i −0.139099 + 0.669056i
\(313\) 26.8077 + 15.4775i 1.51526 + 0.874838i 0.999840 + 0.0179024i \(0.00569881\pi\)
0.515424 + 0.856935i \(0.327635\pi\)
\(314\) −7.79034 −0.439634
\(315\) −2.94290 7.37152i −0.165814 0.415338i
\(316\) −0.994011 −0.0559175
\(317\) 13.1185 + 7.57399i 0.736811 + 0.425398i 0.820909 0.571060i \(-0.193467\pi\)
−0.0840978 + 0.996458i \(0.526801\pi\)
\(318\) −8.36861 7.46787i −0.469288 0.418777i
\(319\) −1.26377 2.18891i −0.0707576 0.122556i
\(320\) 1.00000 0.0559017
\(321\) −18.3635 + 20.5785i −1.02495 + 1.14858i
\(322\) −11.9556 11.8507i −0.666262 0.660416i
\(323\) 23.5259i 1.30902i
\(324\) 8.76857 2.02783i 0.487143 0.112657i
\(325\) 6.03529 + 3.48448i 0.334778 + 0.193284i
\(326\) 8.29410i 0.459368i
\(327\) −2.54445 + 12.2386i −0.140708 + 0.676798i
\(328\) −1.09537 0.632413i −0.0604818 0.0349192i
\(329\) 10.1424 + 10.0534i 0.559167 + 0.554261i
\(330\) −0.516517 + 2.48441i −0.0284333 + 0.136762i
\(331\) −0.651609 + 1.12862i −0.0358157 + 0.0620345i −0.883378 0.468662i \(-0.844736\pi\)
0.847562 + 0.530696i \(0.178070\pi\)
\(332\) −5.93463 + 10.2791i −0.325705 + 0.564138i
\(333\) −15.1851 6.59929i −0.832137 0.361639i
\(334\) −11.9251 + 6.88497i −0.652513 + 0.376729i
\(335\) 6.27490 + 10.8685i 0.342835 + 0.593807i
\(336\) −4.10138 2.04418i −0.223749 0.111519i
\(337\) 8.12095 14.0659i 0.442377 0.766219i −0.555489 0.831524i \(-0.687469\pi\)
0.997865 + 0.0653053i \(0.0208021\pi\)
\(338\) 35.5663i 1.93455i
\(339\) 10.6269 + 2.20937i 0.577175 + 0.119996i
\(340\) −6.60663 −0.358295
\(341\) 5.75020 + 9.95964i 0.311391 + 0.539345i
\(342\) −8.58632 + 6.35602i −0.464295 + 0.343694i
\(343\) 12.9215 13.2678i 0.697698 0.716392i
\(344\) 5.62191 3.24581i 0.303113 0.175002i
\(345\) −3.45214 10.4657i −0.185857 0.563453i
\(346\) 10.0800 5.81971i 0.541906 0.312869i
\(347\) −4.39256 + 2.53604i −0.235805 + 0.136142i −0.613247 0.789891i \(-0.710137\pi\)
0.377442 + 0.926033i \(0.376804\pi\)
\(348\) 2.92562 + 0.608246i 0.156830 + 0.0326054i
\(349\) 20.4996 11.8354i 1.09732 0.633536i 0.161802 0.986823i \(-0.448269\pi\)
0.935515 + 0.353287i \(0.114936\pi\)
\(350\) −1.86257 + 1.87905i −0.0995584 + 0.100440i
\(351\) 32.8812 15.1696i 1.75507 0.809694i
\(352\) 0.732523 + 1.26877i 0.0390436 + 0.0676255i
\(353\) 0.544757 0.0289945 0.0144973 0.999895i \(-0.495385\pi\)
0.0144973 + 0.999895i \(0.495385\pi\)
\(354\) −0.810210 2.45627i −0.0430622 0.130549i
\(355\) 14.2133i 0.754363i
\(356\) 2.18741 3.78871i 0.115933 0.200801i
\(357\) 27.0963 + 13.5051i 1.43409 + 0.714767i
\(358\) −0.703262 1.21808i −0.0371685 0.0643778i
\(359\) −5.44862 + 3.14576i −0.287567 + 0.166027i −0.636844 0.770993i \(-0.719761\pi\)
0.349277 + 0.937019i \(0.386427\pi\)
\(360\) −1.78492 2.41124i −0.0940734 0.127083i
\(361\) −3.15979 + 5.47291i −0.166305 + 0.288048i
\(362\) −5.07911 + 8.79728i −0.266952 + 0.462375i
\(363\) 14.5631 4.80371i 0.764367 0.252129i
\(364\) −17.8307 4.69362i −0.934583 0.246012i
\(365\) 1.11022 + 0.640987i 0.0581117 + 0.0335508i
\(366\) 4.82799 + 4.30833i 0.252363 + 0.225200i
\(367\) 24.3497i 1.27104i 0.772083 + 0.635522i \(0.219215\pi\)
−0.772083 + 0.635522i \(0.780785\pi\)
\(368\) −5.51016 3.18129i −0.287237 0.165836i
\(369\) 0.430250 + 3.77001i 0.0223979 + 0.196259i
\(370\) 5.51903i 0.286921i
\(371\) 12.0614 12.1681i 0.626195 0.631738i
\(372\) −13.3117 2.76754i −0.690179 0.143490i
\(373\) 2.17755 0.112749 0.0563746 0.998410i \(-0.482046\pi\)
0.0563746 + 0.998410i \(0.482046\pi\)
\(374\) −4.83951 8.38228i −0.250245 0.433438i
\(375\) −1.64488 + 0.542569i −0.0849411 + 0.0280181i
\(376\) 4.67445 + 2.69880i 0.241066 + 0.139180i
\(377\) 12.0230 0.619218
\(378\) 2.39164 + 13.5381i 0.123013 + 0.696325i
\(379\) −22.5954 −1.16065 −0.580323 0.814387i \(-0.697074\pi\)
−0.580323 + 0.814387i \(0.697074\pi\)
\(380\) 3.08388 + 1.78048i 0.158200 + 0.0913367i
\(381\) −1.50404 + 0.496114i −0.0770544 + 0.0254167i
\(382\) −8.56216 14.8301i −0.438078 0.758773i
\(383\) 6.52565 0.333445 0.166723 0.986004i \(-0.446682\pi\)
0.166723 + 0.986004i \(0.446682\pi\)
\(384\) −1.69579 0.352560i −0.0865379 0.0179915i
\(385\) −3.74846 0.986714i −0.191039 0.0502876i
\(386\) 1.93306i 0.0983900i
\(387\) −17.8611 7.76225i −0.907929 0.394577i
\(388\) −9.04933 5.22463i −0.459410 0.265241i
\(389\) 34.6804i 1.75837i 0.476482 + 0.879184i \(0.341912\pi\)
−0.476482 + 0.879184i \(0.658088\pi\)
\(390\) −9.00610 8.03674i −0.456042 0.406956i
\(391\) 36.4036 + 21.0176i 1.84101 + 1.06291i
\(392\) 3.44644 6.09279i 0.174072 0.307732i
\(393\) 16.2822 5.37075i 0.821329 0.270919i
\(394\) 11.0068 19.0643i 0.554513 0.960445i
\(395\) 0.497005 0.860839i 0.0250071 0.0433135i
\(396\) 1.75181 4.03093i 0.0880316 0.202562i
\(397\) 23.8417 13.7650i 1.19658 0.690845i 0.236788 0.971561i \(-0.423905\pi\)
0.959791 + 0.280717i \(0.0905721\pi\)
\(398\) 13.3039 + 23.0430i 0.666864 + 1.15504i
\(399\) −9.00856 13.6064i −0.450992 0.681173i
\(400\) −0.500000 + 0.866025i −0.0250000 + 0.0433013i
\(401\) 14.0788i 0.703060i 0.936177 + 0.351530i \(0.114338\pi\)
−0.936177 + 0.351530i \(0.885662\pi\)
\(402\) −6.80914 20.6429i −0.339609 1.02957i
\(403\) −54.7053 −2.72506
\(404\) −1.01983 1.76640i −0.0507385 0.0878816i
\(405\) −2.62813 + 8.60772i −0.130593 + 0.427721i
\(406\) −1.16195 + 4.41416i −0.0576665 + 0.219071i
\(407\) −7.00236 + 4.04282i −0.347094 + 0.200395i
\(408\) 11.2035 + 2.32923i 0.554654 + 0.115314i
\(409\) −28.3746 + 16.3821i −1.40304 + 0.810043i −0.994703 0.102791i \(-0.967223\pi\)
−0.408332 + 0.912833i \(0.633890\pi\)
\(410\) 1.09537 0.632413i 0.0540965 0.0312327i
\(411\) −6.53700 19.8179i −0.322447 0.977543i
\(412\) −2.75430 + 1.59020i −0.135695 + 0.0783433i
\(413\) 3.81169 1.03936i 0.187561 0.0511437i
\(414\) 2.16433 + 18.9647i 0.106371 + 0.932062i
\(415\) −5.93463 10.2791i −0.291320 0.504581i
\(416\) −6.96896 −0.341681
\(417\) 30.5620 + 6.35393i 1.49663 + 0.311153i
\(418\) 5.21697i 0.255170i
\(419\) 5.81259 10.0677i 0.283964 0.491839i −0.688394 0.725337i \(-0.741684\pi\)
0.972357 + 0.233498i \(0.0750172\pi\)
\(420\) 3.82100 2.52981i 0.186446 0.123442i
\(421\) 11.4508 + 19.8333i 0.558076 + 0.966615i 0.997657 + 0.0684126i \(0.0217934\pi\)
−0.439582 + 0.898203i \(0.644873\pi\)
\(422\) −5.96341 + 3.44298i −0.290294 + 0.167601i
\(423\) −1.83607 16.0883i −0.0892730 0.782242i
\(424\) 3.23783 5.60809i 0.157243 0.272353i
\(425\) 3.30332 5.72151i 0.160234 0.277534i
\(426\) 5.01103 24.1027i 0.242785 1.16778i
\(427\) −6.95839 + 7.01999i −0.336740 + 0.339721i
\(428\) −13.7903 7.96185i −0.666581 0.384851i
\(429\) 3.59958 17.3137i 0.173789 0.835916i
\(430\) 6.49162i 0.313054i
\(431\) 8.34407 + 4.81745i 0.401920 + 0.232048i 0.687312 0.726362i \(-0.258791\pi\)
−0.285392 + 0.958411i \(0.592124\pi\)
\(432\) 2.17674 + 4.71824i 0.104728 + 0.227007i
\(433\) 37.8458i 1.81875i −0.415972 0.909377i \(-0.636559\pi\)
0.415972 0.909377i \(-0.363441\pi\)
\(434\) 5.28690 20.0846i 0.253779 0.964090i
\(435\) −1.98957 + 2.22954i −0.0953925 + 0.106898i
\(436\) −7.21707 −0.345635
\(437\) −11.3285 19.6215i −0.541914 0.938622i
\(438\) −1.65672 1.47840i −0.0791610 0.0706406i
\(439\) −28.0570 16.1987i −1.33909 0.773122i −0.352415 0.935844i \(-0.614640\pi\)
−0.986672 + 0.162721i \(0.947973\pi\)
\(440\) −1.46505 −0.0698434
\(441\) −20.8428 + 2.56494i −0.992513 + 0.122140i
\(442\) 46.0413 2.18996
\(443\) −18.9675 10.9509i −0.901175 0.520293i −0.0235935 0.999722i \(-0.507511\pi\)
−0.877581 + 0.479428i \(0.840844\pi\)
\(444\) 1.94579 9.35911i 0.0923430 0.444164i
\(445\) 2.18741 + 3.78871i 0.103693 + 0.179602i
\(446\) −13.5028 −0.639376
\(447\) −4.66358 14.1383i −0.220580 0.668720i
\(448\) 0.673503 2.55859i 0.0318200 0.120882i
\(449\) 25.8522i 1.22004i 0.792385 + 0.610021i \(0.208839\pi\)
−0.792385 + 0.610021i \(0.791161\pi\)
\(450\) 2.98065 0.340166i 0.140509 0.0160356i
\(451\) 1.60477 + 0.926515i 0.0755657 + 0.0436279i
\(452\) 6.26664i 0.294758i
\(453\) −4.28937 + 1.41486i −0.201532 + 0.0664761i
\(454\) −18.6179 10.7490i −0.873780 0.504477i
\(455\) 12.9801 13.0950i 0.608519 0.613905i
\(456\) −4.60189 4.10657i −0.215503 0.192308i
\(457\) 11.1231 19.2658i 0.520318 0.901217i −0.479403 0.877595i \(-0.659147\pi\)
0.999721 0.0236222i \(-0.00751987\pi\)
\(458\) 11.2546 19.4936i 0.525894 0.910876i
\(459\) −14.3809 31.1717i −0.671244 1.45497i
\(460\) 5.51016 3.18129i 0.256913 0.148329i
\(461\) −7.05369 12.2173i −0.328523 0.569018i 0.653696 0.756757i \(-0.273217\pi\)
−0.982219 + 0.187739i \(0.939884\pi\)
\(462\) 6.00872 + 2.99481i 0.279551 + 0.139331i
\(463\) 3.33243 5.77194i 0.154871 0.268245i −0.778141 0.628090i \(-0.783837\pi\)
0.933012 + 0.359845i \(0.117170\pi\)
\(464\) 1.72523i 0.0800917i
\(465\) 9.05261 10.1445i 0.419805 0.470440i
\(466\) 17.8295 0.825938
\(467\) 1.75717 + 3.04350i 0.0813119 + 0.140836i 0.903814 0.427926i \(-0.140756\pi\)
−0.822502 + 0.568763i \(0.807422\pi\)
\(468\) 12.4390 + 16.8038i 0.574994 + 0.776756i
\(469\) 32.0341 8.73498i 1.47920 0.403344i
\(470\) −4.67445 + 2.69880i −0.215616 + 0.124486i
\(471\) −8.98398 + 10.0676i −0.413960 + 0.463890i
\(472\) 1.29322 0.746642i 0.0595254 0.0343670i
\(473\) −8.23636 + 4.75526i −0.378708 + 0.218647i
\(474\) −1.14631 + 1.28458i −0.0526519 + 0.0590026i
\(475\) −3.08388 + 1.78048i −0.141498 + 0.0816940i
\(476\) −4.44959 + 16.9037i −0.203947 + 0.774779i
\(477\) −19.3017 + 2.20280i −0.883764 + 0.100859i
\(478\) 7.91804 + 13.7144i 0.362163 + 0.627284i
\(479\) −1.00097 −0.0457356 −0.0228678 0.999738i \(-0.507280\pi\)
−0.0228678 + 0.999738i \(0.507280\pi\)
\(480\) 1.15322 1.29232i 0.0526371 0.0589859i
\(481\) 38.4619i 1.75371i
\(482\) −13.2122 + 22.8842i −0.601799 + 1.04235i
\(483\) −29.1024 + 1.78396i −1.32421 + 0.0811730i
\(484\) 4.42682 + 7.66748i 0.201219 + 0.348522i
\(485\) 9.04933 5.22463i 0.410909 0.237238i
\(486\) 7.49150 13.6703i 0.339821 0.620098i
\(487\) −14.4755 + 25.0723i −0.655948 + 1.13613i 0.325708 + 0.945471i \(0.394397\pi\)
−0.981655 + 0.190664i \(0.938936\pi\)
\(488\) −1.86796 + 3.23540i −0.0845585 + 0.146460i
\(489\) −10.7186 9.56492i −0.484712 0.432541i
\(490\) 3.55329 + 6.03110i 0.160521 + 0.272457i
\(491\) 30.6555 + 17.6990i 1.38346 + 0.798743i 0.992568 0.121691i \(-0.0388318\pi\)
0.390896 + 0.920435i \(0.372165\pi\)
\(492\) −2.08048 + 0.686255i −0.0937954 + 0.0309388i
\(493\) 11.3980i 0.513338i
\(494\) −21.4914 12.4081i −0.966945 0.558266i
\(495\) 2.61499 + 3.53258i 0.117535 + 0.158777i
\(496\) 7.84985i 0.352469i
\(497\) 36.3660 + 9.57269i 1.63124 + 0.429394i
\(498\) 6.43990 + 19.5235i 0.288579 + 0.874868i
\(499\) 16.6369 0.744769 0.372384 0.928079i \(-0.378540\pi\)
0.372384 + 0.928079i \(0.378540\pi\)
\(500\) −0.500000 0.866025i −0.0223607 0.0387298i
\(501\) −4.85473 + 23.3509i −0.216893 + 1.04324i
\(502\) 24.2411 + 13.9956i 1.08193 + 0.624655i
\(503\) −12.7352 −0.567834 −0.283917 0.958849i \(-0.591634\pi\)
−0.283917 + 0.958849i \(0.591634\pi\)
\(504\) −7.37152 + 2.94290i −0.328354 + 0.131087i
\(505\) 2.03966 0.0907638
\(506\) 8.07265 + 4.66075i 0.358873 + 0.207195i
\(507\) 45.9630 + 41.0158i 2.04129 + 1.82158i
\(508\) −0.457190 0.791877i −0.0202845 0.0351338i
\(509\) −9.46891 −0.419702 −0.209851 0.977733i \(-0.567298\pi\)
−0.209851 + 0.977733i \(0.567298\pi\)
\(510\) −7.61890 + 8.53786i −0.337371 + 0.378063i
\(511\) 2.38776 2.40890i 0.105628 0.106563i
\(512\) 1.00000i 0.0441942i
\(513\) −1.68793 + 18.4261i −0.0745238 + 0.813534i
\(514\) −12.4971 7.21520i −0.551223 0.318249i
\(515\) 3.18039i 0.140145i
\(516\) 2.28868 11.0084i 0.100754 0.484619i
\(517\) −6.84829 3.95386i −0.301187 0.173891i
\(518\) 14.1209 + 3.71708i 0.620439 + 0.163319i
\(519\) 4.10359 19.7380i 0.180128 0.866402i
\(520\) 3.48448 6.03529i 0.152804 0.264665i
\(521\) 2.37330 4.11068i 0.103976 0.180092i −0.809343 0.587336i \(-0.800177\pi\)
0.913320 + 0.407244i \(0.133510\pi\)
\(522\) 4.15994 3.07939i 0.182075 0.134781i
\(523\) 30.1376 17.3999i 1.31782 0.760846i 0.334446 0.942415i \(-0.391451\pi\)
0.983378 + 0.181569i \(0.0581176\pi\)
\(524\) 4.94937 + 8.57256i 0.216214 + 0.374494i
\(525\) 0.280383 + 4.57399i 0.0122369 + 0.199625i
\(526\) −0.805722 + 1.39555i −0.0351312 + 0.0608490i
\(527\) 51.8611i 2.25910i
\(528\) 2.48441 + 0.516517i 0.108120 + 0.0224785i
\(529\) −17.4825 −0.760110
\(530\) 3.23783 + 5.60809i 0.140642 + 0.243600i
\(531\) −4.10863 1.78557i −0.178299 0.0774872i
\(532\) 6.63252 6.69123i 0.287556 0.290102i
\(533\) −7.63360 + 4.40726i −0.330648 + 0.190900i
\(534\) −2.37364 7.19604i −0.102718 0.311403i
\(535\) 13.7903 7.96185i 0.596208 0.344221i
\(536\) 10.8685 6.27490i 0.469446 0.271035i
\(537\) −2.38517 0.495883i −0.102928 0.0213989i
\(538\) −3.57264 + 2.06266i −0.154027 + 0.0889277i
\(539\) −5.04920 + 8.92622i −0.217484 + 0.384479i
\(540\) −5.17449 0.474009i −0.222674 0.0203981i
\(541\) −0.542248 0.939202i −0.0233131 0.0403794i 0.854133 0.520054i \(-0.174088\pi\)
−0.877447 + 0.479674i \(0.840755\pi\)
\(542\) −4.64975 −0.199724
\(543\) 5.51153 + 16.7090i 0.236523 + 0.717053i
\(544\) 6.60663i 0.283257i
\(545\) 3.60853 6.25017i 0.154573 0.267728i
\(546\) −26.6284 + 17.6302i −1.13959 + 0.754501i
\(547\) −8.77785 15.2037i −0.375314 0.650063i 0.615060 0.788480i \(-0.289132\pi\)
−0.990374 + 0.138417i \(0.955798\pi\)
\(548\) 10.4341 6.02412i 0.445722 0.257338i
\(549\) 11.1355 1.27083i 0.475250 0.0542377i
\(550\) 0.732523 1.26877i 0.0312349 0.0541004i
\(551\) −3.07173 + 5.32040i −0.130860 + 0.226657i
\(552\) −10.4657 + 3.45214i −0.445449 + 0.146933i
\(553\) −1.86780 1.85141i −0.0794269 0.0787301i
\(554\) 20.2858 + 11.7120i 0.861859 + 0.497595i
\(555\) 7.13233 + 6.36466i 0.302751 + 0.270165i
\(556\) 18.0223i 0.764314i
\(557\) −27.9379 16.1300i −1.18377 0.683449i −0.226885 0.973922i \(-0.572854\pi\)
−0.956883 + 0.290472i \(0.906188\pi\)
\(558\) −18.9279 + 14.0113i −0.801280 + 0.593147i
\(559\) 45.2398i 1.91344i
\(560\) 1.87905 + 1.86257i 0.0794045 + 0.0787078i
\(561\) −16.4136 3.41243i −0.692982 0.144073i
\(562\) −20.2848 −0.855661
\(563\) −17.7852 30.8049i −0.749557 1.29827i −0.948035 0.318165i \(-0.896933\pi\)
0.198479 0.980105i \(-0.436400\pi\)
\(564\) 8.87837 2.92857i 0.373847 0.123315i
\(565\) −5.42707 3.13332i −0.228319 0.131820i
\(566\) 5.74367 0.241425
\(567\) 20.2536 + 12.5217i 0.850571 + 0.525860i
\(568\) 14.2133 0.596376
\(569\) −36.3434 20.9829i −1.52359 0.879647i −0.999610 0.0279186i \(-0.991112\pi\)
−0.523983 0.851729i \(-0.675555\pi\)
\(570\) 5.85734 1.93207i 0.245337 0.0809253i
\(571\) −3.38623 5.86513i −0.141709 0.245448i 0.786431 0.617678i \(-0.211927\pi\)
−0.928140 + 0.372230i \(0.878593\pi\)
\(572\) 10.2098 0.426895
\(573\) −29.0392 6.03734i −1.21313 0.252214i
\(574\) −0.880351 3.22854i −0.0367451 0.134757i
\(575\) 6.36259i 0.265338i
\(576\) −2.41124 + 1.78492i −0.100468 + 0.0743716i
\(577\) −30.1675 17.4172i −1.25589 0.725087i −0.283616 0.958938i \(-0.591534\pi\)
−0.972273 + 0.233851i \(0.924867\pi\)
\(578\) 26.6476i 1.10839i
\(579\) −2.49812 2.22924i −0.103818 0.0926440i
\(580\) −1.49409 0.862614i −0.0620388 0.0358181i
\(581\) −30.2970 + 8.26131i −1.25693 + 0.342737i
\(582\) −17.1878 + 5.66945i −0.712455 + 0.235006i
\(583\) −4.74358 + 8.21612i −0.196459 + 0.340277i
\(584\) 0.640987 1.11022i 0.0265242 0.0459413i
\(585\) −20.7720 + 2.37060i −0.858818 + 0.0980122i
\(586\) −18.6844 + 10.7874i −0.771845 + 0.445625i
\(587\) 20.1646 + 34.9261i 0.832281 + 1.44155i 0.896225 + 0.443599i \(0.146299\pi\)
−0.0639444 + 0.997953i \(0.520368\pi\)
\(588\) −3.89930 11.4802i −0.160805 0.473436i
\(589\) 13.9765 24.2080i 0.575892 0.997474i
\(590\) 1.49328i 0.0614775i
\(591\) −11.9439 36.2096i −0.491305 1.48946i
\(592\) 5.51903 0.226831
\(593\) −13.7783 23.8647i −0.565806 0.980005i −0.996974 0.0777332i \(-0.975232\pi\)
0.431168 0.902272i \(-0.358102\pi\)
\(594\) −3.18903 6.91244i −0.130847 0.283621i
\(595\) −12.4142 12.3053i −0.508933 0.504468i
\(596\) 7.44381 4.29769i 0.304910 0.176040i
\(597\) 45.1212 + 9.38084i 1.84669 + 0.383932i
\(598\) −38.4001 + 22.1703i −1.57030 + 0.906611i
\(599\) −12.2493 + 7.07211i −0.500491 + 0.288959i −0.728916 0.684603i \(-0.759976\pi\)
0.228425 + 0.973561i \(0.426642\pi\)
\(600\) 0.542569 + 1.64488i 0.0221503 + 0.0671518i
\(601\) −10.7893 + 6.22920i −0.440104 + 0.254094i −0.703642 0.710555i \(-0.748444\pi\)
0.263537 + 0.964649i \(0.415111\pi\)
\(602\) 16.6094 + 4.37213i 0.676949 + 0.178195i
\(603\) −34.5296 15.0062i −1.40615 0.611101i
\(604\) −1.30386 2.25835i −0.0530532 0.0918908i
\(605\) −8.85364 −0.359952
\(606\) −3.45884 0.719103i −0.140506 0.0292115i
\(607\) 7.96739i 0.323386i −0.986841 0.161693i \(-0.948305\pi\)
0.986841 0.161693i \(-0.0516955\pi\)
\(608\) 1.78048 3.08388i 0.0722080 0.125068i
\(609\) 4.36451 + 6.59210i 0.176859 + 0.267125i
\(610\) −1.86796 3.23540i −0.0756314 0.130997i
\(611\) 32.5760 18.8078i 1.31789 0.760882i
\(612\) 15.9302 11.7923i 0.643939 0.476675i
\(613\) 3.28676 5.69283i 0.132751 0.229931i −0.791985 0.610540i \(-0.790952\pi\)
0.924736 + 0.380609i \(0.124286\pi\)
\(614\) −2.61148 + 4.52321i −0.105391 + 0.182542i
\(615\) 0.445927 2.14488i 0.0179815 0.0864899i
\(616\) −0.986714 + 3.74846i −0.0397558 + 0.151030i
\(617\) −6.77484 3.91146i −0.272745 0.157469i 0.357389 0.933955i \(-0.383667\pi\)
−0.630134 + 0.776486i \(0.717000\pi\)
\(618\) −1.12128 + 5.39327i −0.0451044 + 0.216949i
\(619\) 45.9757i 1.84792i 0.382492 + 0.923959i \(0.375066\pi\)
−0.382492 + 0.923959i \(0.624934\pi\)
\(620\) 6.79817 + 3.92493i 0.273021 + 0.157629i
\(621\) 27.0043 + 19.0734i 1.08365 + 0.765390i
\(622\) 13.2357i 0.530702i
\(623\) 11.1670 3.04499i 0.447396 0.121995i
\(624\) −8.03674 + 9.00610i −0.321727 + 0.360532i
\(625\) 1.00000 0.0400000
\(626\) 15.4775 + 26.8077i 0.618604 + 1.07145i
\(627\) 6.74198 + 6.01632i 0.269249 + 0.240269i
\(628\) −6.74663 3.89517i −0.269220 0.155434i
\(629\) −36.4622 −1.45384
\(630\) 1.13713 7.85538i 0.0453045 0.312966i
\(631\) −24.0931 −0.959131 −0.479566 0.877506i \(-0.659206\pi\)
−0.479566 + 0.877506i \(0.659206\pi\)
\(632\) −0.860839 0.497005i −0.0342423 0.0197698i
\(633\) −2.42771 + 11.6771i −0.0964928 + 0.464124i
\(634\) 7.57399 + 13.1185i 0.300802 + 0.521004i
\(635\) 0.914380 0.0362861
\(636\) −3.51350 10.6517i −0.139319 0.422366i
\(637\) −24.7627 42.0305i −0.981134 1.66531i
\(638\) 2.52754i 0.100066i
\(639\) −25.3695 34.2716i −1.00360 1.35576i
\(640\) 0.866025 + 0.500000i 0.0342327 + 0.0197642i
\(641\) 23.8637i 0.942558i −0.881984 0.471279i \(-0.843792\pi\)
0.881984 0.471279i \(-0.156208\pi\)
\(642\) −26.1925 + 8.63971i −1.03374 + 0.340982i
\(643\) 12.9563 + 7.48033i 0.510947 + 0.294996i 0.733223 0.679988i \(-0.238015\pi\)
−0.222276 + 0.974984i \(0.571348\pi\)
\(644\) −4.42852 16.2409i −0.174508 0.639980i
\(645\) 8.38923 + 7.48627i 0.330326 + 0.294771i
\(646\) −11.7630 + 20.3741i −0.462808 + 0.801607i
\(647\) 3.99382 6.91751i 0.157013 0.271955i −0.776777 0.629776i \(-0.783147\pi\)
0.933790 + 0.357821i \(0.116480\pi\)
\(648\) 8.60772 + 2.62813i 0.338143 + 0.103243i
\(649\) −1.89463 + 1.09387i −0.0743708 + 0.0429380i
\(650\) 3.48448 + 6.03529i 0.136672 + 0.236724i
\(651\) −19.8587 29.9943i −0.778322 1.17557i
\(652\) 4.14705 7.18290i 0.162411 0.281304i
\(653\) 28.2899i 1.10707i 0.832826 + 0.553535i \(0.186721\pi\)
−0.832826 + 0.553535i \(0.813279\pi\)
\(654\) −8.32287 + 9.32674i −0.325450 + 0.364704i
\(655\) −9.89874 −0.386776
\(656\) −0.632413 1.09537i −0.0246916 0.0427671i
\(657\) −3.82112 + 0.436083i −0.149076 + 0.0170132i
\(658\) 3.75686 + 13.7777i 0.146458 + 0.537109i
\(659\) −0.349881 + 0.202004i −0.0136294 + 0.00786894i −0.506799 0.862064i \(-0.669171\pi\)
0.493170 + 0.869933i \(0.335838\pi\)
\(660\) −1.68952 + 1.89330i −0.0657645 + 0.0736968i
\(661\) 2.96092 1.70949i 0.115167 0.0664915i −0.441310 0.897355i \(-0.645486\pi\)
0.556477 + 0.830863i \(0.312153\pi\)
\(662\) −1.12862 + 0.651609i −0.0438650 + 0.0253255i
\(663\) 53.0958 59.5000i 2.06207 2.31079i
\(664\) −10.2791 + 5.93463i −0.398906 + 0.230308i
\(665\) 2.47852 + 9.08955i 0.0961127 + 0.352478i
\(666\) −9.85101 13.3077i −0.381719 0.515662i
\(667\) 5.48846 + 9.50629i 0.212514 + 0.368085i
\(668\) −13.7699 −0.532775
\(669\) −15.5717 + 17.4499i −0.602036 + 0.674651i
\(670\) 12.5498i 0.484841i
\(671\) 2.73665 4.74001i 0.105647 0.182986i
\(672\) −2.52981 3.82100i −0.0975897 0.147398i
\(673\) 9.47604 + 16.4130i 0.365274 + 0.632674i 0.988820 0.149113i \(-0.0476418\pi\)
−0.623546 + 0.781787i \(0.714309\pi\)
\(674\) 14.0659 8.12095i 0.541798 0.312807i
\(675\) 2.99775 4.24423i 0.115383 0.163361i
\(676\) −17.7832 + 30.8014i −0.683968 + 1.18467i
\(677\) −7.67846 + 13.2995i −0.295107 + 0.511141i −0.975010 0.222162i \(-0.928689\pi\)
0.679903 + 0.733302i \(0.262022\pi\)
\(678\) 8.09849 + 7.22682i 0.311021 + 0.277544i
\(679\) −7.27295 26.6724i −0.279110 1.02359i
\(680\) −5.72151 3.30332i −0.219410 0.126676i
\(681\) −35.3617 + 11.6642i −1.35506 + 0.446973i
\(682\) 11.5004i 0.440373i
\(683\) 26.9763 + 15.5748i 1.03222 + 0.595951i 0.917619 0.397460i \(-0.130108\pi\)
0.114599 + 0.993412i \(0.463442\pi\)
\(684\) −10.6140 + 1.21132i −0.405836 + 0.0463158i
\(685\) 12.0482i 0.460340i
\(686\) 17.8243 5.02945i 0.680534 0.192025i
\(687\) −12.2128 37.0250i −0.465948 1.41259i
\(688\) 6.49162 0.247491
\(689\) −22.5643 39.0825i −0.859632 1.48893i
\(690\) 2.24319 10.7896i 0.0853969 0.410753i
\(691\) 23.2148 + 13.4031i 0.883134 + 0.509878i 0.871691 0.490057i \(-0.163024\pi\)
0.0114437 + 0.999935i \(0.496357\pi\)
\(692\) 11.6394 0.442464
\(693\) 10.7996 4.31149i 0.410244 0.163780i
\(694\) −5.07209 −0.192534
\(695\) −15.6077 9.01113i −0.592035 0.341812i
\(696\) 2.22954 + 1.98957i 0.0845106 + 0.0754144i
\(697\) 4.17812 + 7.23672i 0.158258 + 0.274110i
\(698\) 23.6709 0.895956
\(699\) 20.5614 23.0414i 0.777703 0.871507i
\(700\) −2.55256 + 0.696025i −0.0964776 + 0.0263073i
\(701\) 9.39873i 0.354985i −0.984122 0.177493i \(-0.943201\pi\)
0.984122 0.177493i \(-0.0567985\pi\)
\(702\) 36.0608 + 3.30335i 1.36103 + 0.124677i
\(703\) 17.0200 + 9.82652i 0.641922 + 0.370614i
\(704\) 1.46505i 0.0552160i
\(705\) −1.90297 + 9.15318i −0.0716701 + 0.344729i
\(706\) 0.471774 + 0.272379i 0.0177554 + 0.0102511i
\(707\) 1.37372 5.21866i 0.0516640 0.196268i
\(708\) 0.526472 2.53230i 0.0197860 0.0951695i
\(709\) −10.1149 + 17.5195i −0.379873 + 0.657959i −0.991043 0.133540i \(-0.957366\pi\)
0.611171 + 0.791499i \(0.290699\pi\)
\(710\) −7.10664 + 12.3091i −0.266707 + 0.461951i
\(711\) 0.338128 + 2.96280i 0.0126808 + 0.111114i
\(712\) 3.78871 2.18741i 0.141988 0.0819767i
\(713\) −24.9727 43.2540i −0.935234 1.61987i
\(714\) 16.7136 + 25.2439i 0.625489 + 0.944731i
\(715\) −5.10492 + 8.84199i −0.190913 + 0.330672i
\(716\) 1.40652i 0.0525642i
\(717\) 26.8547 + 5.58316i 1.00291 + 0.208507i
\(718\) −6.29152 −0.234797
\(719\) 0.154148 + 0.266992i 0.00574874 + 0.00995710i 0.868885 0.495013i \(-0.164837\pi\)
−0.863137 + 0.504970i \(0.831503\pi\)
\(720\) −0.340166 2.98065i −0.0126772 0.111082i
\(721\) −8.13732 2.14200i −0.303050 0.0797724i
\(722\) −5.47291 + 3.15979i −0.203681 + 0.117595i
\(723\) 14.3371 + 43.4649i 0.533201 + 1.61648i
\(724\) −8.79728 + 5.07911i −0.326948 + 0.188764i
\(725\) 1.49409 0.862614i 0.0554892 0.0320367i
\(726\) 15.0139 + 3.12144i 0.557218 + 0.115847i
\(727\) −3.69340 + 2.13238i −0.136980 + 0.0790857i −0.566924 0.823770i \(-0.691867\pi\)
0.429944 + 0.902856i \(0.358533\pi\)
\(728\) −13.0950 12.9801i −0.485335 0.481076i
\(729\) −9.02702 25.4463i −0.334334 0.942455i
\(730\) 0.640987 + 1.11022i 0.0237240 + 0.0410911i
\(731\) −42.8877 −1.58626
\(732\) 2.02699 + 6.14512i 0.0749198 + 0.227130i
\(733\) 3.01231i 0.111262i −0.998451 0.0556310i \(-0.982283\pi\)
0.998451 0.0556310i \(-0.0177171\pi\)
\(734\) −12.1749 + 21.0875i −0.449382 + 0.778353i
\(735\) 11.8918 + 2.36321i 0.438636 + 0.0871684i
\(736\) −3.18129 5.51016i −0.117264 0.203107i
\(737\) −15.9228 + 9.19303i −0.586524 + 0.338630i
\(738\) −1.51240 + 3.48005i −0.0556721 + 0.128102i
\(739\) 9.01920 15.6217i 0.331776 0.574654i −0.651084 0.759006i \(-0.725685\pi\)
0.982860 + 0.184352i \(0.0590187\pi\)
\(740\) −2.75951 + 4.77962i −0.101442 + 0.175702i
\(741\) −40.8195 + 13.4645i −1.49954 + 0.494630i
\(742\) 16.5295 4.50722i 0.606817 0.165465i
\(743\) 1.82145 + 1.05161i 0.0668225 + 0.0385800i 0.533039 0.846091i \(-0.321050\pi\)
−0.466217 + 0.884671i \(0.654383\pi\)
\(744\) −10.1445 9.05261i −0.371915 0.331885i
\(745\) 8.59537i 0.314910i
\(746\) 1.88581 + 1.08878i 0.0690445 + 0.0398629i
\(747\) 32.6571 + 14.1925i 1.19486 + 0.519276i
\(748\) 9.67903i 0.353900i
\(749\) −11.0833 40.6462i −0.404975 1.48518i
\(750\) −1.69579 0.352560i −0.0619215 0.0128737i
\(751\) −6.80138 −0.248186 −0.124093 0.992271i \(-0.539602\pi\)
−0.124093 + 0.992271i \(0.539602\pi\)
\(752\) 2.69880 + 4.67445i 0.0984149 + 0.170460i
\(753\) 46.0421 15.1872i 1.67787 0.553451i
\(754\) 10.4123 + 6.01152i 0.379192 + 0.218927i
\(755\) 2.60771 0.0949044
\(756\) −4.69783 + 12.9202i −0.170858 + 0.469901i
\(757\) −26.9017 −0.977761 −0.488880 0.872351i \(-0.662595\pi\)
−0.488880 + 0.872351i \(0.662595\pi\)
\(758\) −19.5682 11.2977i −0.710747 0.410350i
\(759\) 15.3327 5.05755i 0.556542 0.183577i
\(760\) 1.78048 + 3.08388i 0.0645848 + 0.111864i
\(761\) 4.16330 0.150920 0.0754598 0.997149i \(-0.475958\pi\)
0.0754598 + 0.997149i \(0.475958\pi\)
\(762\) −1.55060 0.322374i −0.0561722 0.0116784i
\(763\) −13.5613 13.4423i −0.490951 0.486643i
\(764\) 17.1243i 0.619536i
\(765\) 2.24735 + 19.6921i 0.0812531 + 0.711968i
\(766\) 5.65138 + 3.26282i