Properties

Label 546.2.u.a.185.13
Level $546$
Weight $2$
Character 546.185
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 185.13
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.804592 - 1.53383i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.14723 + 3.71911i) q^{5} +(-1.46371 + 0.926039i) q^{6} +(2.58099 - 0.581819i) q^{7} -1.00000i q^{8} +(-1.70526 - 2.46821i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.804592 - 1.53383i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.14723 + 3.71911i) q^{5} +(-1.46371 + 0.926039i) q^{6} +(2.58099 - 0.581819i) q^{7} -1.00000i q^{8} +(-1.70526 - 2.46821i) q^{9} -4.29446i q^{10} +1.08598i q^{11} +(1.73063 - 0.0701179i) q^{12} +(-2.47541 + 2.62151i) q^{13} +(-2.52611 - 0.786623i) q^{14} +(7.43212 - 0.301118i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.95808 + 3.39149i) q^{17} +(0.242696 + 2.99017i) q^{18} -4.05717i q^{19} +(-2.14723 + 3.71911i) q^{20} +(1.18423 - 4.42692i) q^{21} +(0.542991 - 0.940488i) q^{22} +(6.61595 + 3.81972i) q^{23} +(-1.53383 - 0.804592i) q^{24} +(-6.72118 + 11.6414i) q^{25} +(3.45453 - 1.03259i) q^{26} +(-5.15786 + 0.629682i) q^{27} +(1.79436 + 1.94429i) q^{28} +(-1.84864 + 1.06731i) q^{29} +(-6.58696 - 3.45528i) q^{30} +(-1.04968 - 0.606034i) q^{31} +(0.866025 - 0.500000i) q^{32} +(1.66571 + 0.873772i) q^{33} -3.91616i q^{34} +(7.70581 + 8.34967i) q^{35} +(1.28490 - 2.71091i) q^{36} +(3.03928 - 5.26419i) q^{37} +(-2.02858 + 3.51361i) q^{38} +(2.02926 + 5.90611i) q^{39} +(3.71911 - 2.14723i) q^{40} +(-1.00855 - 1.74686i) q^{41} +(-3.23903 + 3.24171i) q^{42} +(1.69618 - 2.93788i) q^{43} +(-0.940488 + 0.542991i) q^{44} +(5.51796 - 11.6419i) q^{45} +(-3.81972 - 6.61595i) q^{46} +(-4.97996 - 8.62555i) q^{47} +(0.926039 + 1.46371i) q^{48} +(6.32297 - 3.00333i) q^{49} +(11.6414 - 6.72118i) q^{50} +(6.77743 - 0.274593i) q^{51} +(-3.50800 - 0.833013i) q^{52} +(-2.81574 - 1.62567i) q^{53} +(4.78168 + 2.03361i) q^{54} +(-4.03889 + 2.33185i) q^{55} +(-0.581819 - 2.58099i) q^{56} +(-6.22300 - 3.26436i) q^{57} +2.13462 q^{58} +(-0.822371 - 1.42439i) q^{59} +(3.97684 + 6.28585i) q^{60} -13.9381i q^{61} +(0.606034 + 1.04968i) q^{62} +(-5.83732 - 5.37827i) q^{63} -1.00000 q^{64} +(-15.0650 - 3.57734i) q^{65} +(-1.00566 - 1.58956i) q^{66} +8.03769 q^{67} +(-1.95808 + 3.39149i) q^{68} +(11.1819 - 7.07443i) q^{69} +(-2.49860 - 11.0839i) q^{70} +(-2.68997 - 1.55305i) q^{71} +(-2.46821 + 1.70526i) q^{72} +(3.86528 + 2.23162i) q^{73} +(-5.26419 + 3.03928i) q^{74} +(12.4482 + 19.6757i) q^{75} +(3.51361 - 2.02858i) q^{76} +(0.631845 + 2.80290i) q^{77} +(1.19566 - 6.12947i) q^{78} +(2.33626 + 4.04652i) q^{79} -4.29446 q^{80} +(-3.18414 + 8.41791i) q^{81} +2.01710i q^{82} +4.52632 q^{83} +(4.42594 - 1.18789i) q^{84} +(-8.40889 + 14.5646i) q^{85} +(-2.93788 + 1.69618i) q^{86} +(0.149675 + 3.69424i) q^{87} +1.08598 q^{88} +(-8.48968 + 14.7046i) q^{89} +(-10.5996 + 7.32319i) q^{90} +(-4.86376 + 8.20633i) q^{91} +7.63945i q^{92} +(-1.77412 + 1.12242i) q^{93} +9.95993i q^{94} +(15.0891 - 8.71167i) q^{95} +(-0.0701179 - 1.73063i) q^{96} +(-10.7814 - 6.22463i) q^{97} +(-6.97752 - 0.560526i) q^{98} +(2.68043 - 1.85189i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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
\(3\) 0.804592 1.53383i 0.464531 0.885557i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 2.14723 + 3.71911i 0.960270 + 1.66324i 0.721819 + 0.692082i \(0.243306\pi\)
0.238451 + 0.971155i \(0.423361\pi\)
\(6\) −1.46371 + 0.926039i −0.597558 + 0.378054i
\(7\) 2.58099 0.581819i 0.975521 0.219907i
\(8\) 1.00000i 0.353553i
\(9\) −1.70526 2.46821i −0.568422 0.822737i
\(10\) 4.29446i 1.35803i
\(11\) 1.08598i 0.327436i 0.986507 + 0.163718i \(0.0523487\pi\)
−0.986507 + 0.163718i \(0.947651\pi\)
\(12\) 1.73063 0.0701179i 0.499590 0.0202413i
\(13\) −2.47541 + 2.62151i −0.686556 + 0.727077i
\(14\) −2.52611 0.786623i −0.675131 0.210234i
\(15\) 7.43212 0.301118i 1.91897 0.0777484i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.95808 + 3.39149i 0.474904 + 0.822558i 0.999587 0.0287399i \(-0.00914944\pi\)
−0.524683 + 0.851298i \(0.675816\pi\)
\(18\) 0.242696 + 2.99017i 0.0572041 + 0.704789i
\(19\) 4.05717i 0.930778i −0.885106 0.465389i \(-0.845914\pi\)
0.885106 0.465389i \(-0.154086\pi\)
\(20\) −2.14723 + 3.71911i −0.480135 + 0.831618i
\(21\) 1.18423 4.42692i 0.258420 0.966033i
\(22\) 0.542991 0.940488i 0.115766 0.200513i
\(23\) 6.61595 + 3.81972i 1.37952 + 0.796467i 0.992102 0.125436i \(-0.0400330\pi\)
0.387420 + 0.921903i \(0.373366\pi\)
\(24\) −1.53383 0.804592i −0.313092 0.164237i
\(25\) −6.72118 + 11.6414i −1.34424 + 2.32829i
\(26\) 3.45453 1.03259i 0.677488 0.202508i
\(27\) −5.15786 + 0.629682i −0.992630 + 0.121182i
\(28\) 1.79436 + 1.94429i 0.339103 + 0.367436i
\(29\) −1.84864 + 1.06731i −0.343283 + 0.198195i −0.661723 0.749748i \(-0.730174\pi\)
0.318440 + 0.947943i \(0.396841\pi\)
\(30\) −6.58696 3.45528i −1.20261 0.630846i
\(31\) −1.04968 0.606034i −0.188528 0.108847i 0.402765 0.915303i \(-0.368049\pi\)
−0.591293 + 0.806457i \(0.701382\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 1.66571 + 0.873772i 0.289963 + 0.152104i
\(34\) 3.91616i 0.671616i
\(35\) 7.70581 + 8.34967i 1.30252 + 1.41135i
\(36\) 1.28490 2.71091i 0.214150 0.451818i
\(37\) 3.03928 5.26419i 0.499654 0.865427i −0.500345 0.865826i \(-0.666794\pi\)
1.00000 0.000398985i \(0.000127001\pi\)
\(38\) −2.02858 + 3.51361i −0.329080 + 0.569983i
\(39\) 2.02926 + 5.90611i 0.324941 + 0.945734i
\(40\) 3.71911 2.14723i 0.588043 0.339507i
\(41\) −1.00855 1.74686i −0.157509 0.272814i 0.776461 0.630166i \(-0.217013\pi\)
−0.933970 + 0.357352i \(0.883680\pi\)
\(42\) −3.23903 + 3.24171i −0.499793 + 0.500207i
\(43\) 1.69618 2.93788i 0.258666 0.448022i −0.707219 0.706995i \(-0.750051\pi\)
0.965885 + 0.258972i \(0.0833838\pi\)
\(44\) −0.940488 + 0.542991i −0.141784 + 0.0818590i
\(45\) 5.51796 11.6419i 0.822569 1.73547i
\(46\) −3.81972 6.61595i −0.563187 0.975469i
\(47\) −4.97996 8.62555i −0.726402 1.25817i −0.958394 0.285448i \(-0.907858\pi\)
0.231992 0.972718i \(-0.425476\pi\)
\(48\) 0.926039 + 1.46371i 0.133662 + 0.211269i
\(49\) 6.32297 3.00333i 0.903282 0.429047i
\(50\) 11.6414 6.72118i 1.64635 0.950519i
\(51\) 6.77743 0.274593i 0.949029 0.0384507i
\(52\) −3.50800 0.833013i −0.486473 0.115518i
\(53\) −2.81574 1.62567i −0.386772 0.223303i 0.293989 0.955809i \(-0.405017\pi\)
−0.680761 + 0.732506i \(0.738351\pi\)
\(54\) 4.78168 + 2.03361i 0.650704 + 0.276739i
\(55\) −4.03889 + 2.33185i −0.544603 + 0.314427i
\(56\) −0.581819 2.58099i −0.0777488 0.344899i
\(57\) −6.22300 3.26436i −0.824257 0.432375i
\(58\) 2.13462 0.280290
\(59\) −0.822371 1.42439i −0.107064 0.185440i 0.807516 0.589846i \(-0.200812\pi\)
−0.914579 + 0.404406i \(0.867478\pi\)
\(60\) 3.97684 + 6.28585i 0.513407 + 0.811499i
\(61\) 13.9381i 1.78460i −0.451446 0.892298i \(-0.649092\pi\)
0.451446 0.892298i \(-0.350908\pi\)
\(62\) 0.606034 + 1.04968i 0.0769664 + 0.133310i
\(63\) −5.83732 5.37827i −0.735433 0.677598i
\(64\) −1.00000 −0.125000
\(65\) −15.0650 3.57734i −1.86858 0.443714i
\(66\) −1.00566 1.58956i −0.123788 0.195662i
\(67\) 8.03769 0.981960 0.490980 0.871171i \(-0.336639\pi\)
0.490980 + 0.871171i \(0.336639\pi\)
\(68\) −1.95808 + 3.39149i −0.237452 + 0.411279i
\(69\) 11.1819 7.07443i 1.34615 0.851661i
\(70\) −2.49860 11.0839i −0.298639 1.32478i
\(71\) −2.68997 1.55305i −0.319241 0.184314i 0.331813 0.943345i \(-0.392340\pi\)
−0.651054 + 0.759031i \(0.725673\pi\)
\(72\) −2.46821 + 1.70526i −0.290882 + 0.200967i
\(73\) 3.86528 + 2.23162i 0.452397 + 0.261191i 0.708842 0.705367i \(-0.249218\pi\)
−0.256445 + 0.966559i \(0.582551\pi\)
\(74\) −5.26419 + 3.03928i −0.611949 + 0.353309i
\(75\) 12.4482 + 19.6757i 1.43739 + 2.27196i
\(76\) 3.51361 2.02858i 0.403039 0.232695i
\(77\) 0.631845 + 2.80290i 0.0720054 + 0.319421i
\(78\) 1.19566 6.12947i 0.135382 0.694026i
\(79\) 2.33626 + 4.04652i 0.262850 + 0.455269i 0.966998 0.254784i \(-0.0820043\pi\)
−0.704148 + 0.710053i \(0.748671\pi\)
\(80\) −4.29446 −0.480135
\(81\) −3.18414 + 8.41791i −0.353794 + 0.935323i
\(82\) 2.01710i 0.222751i
\(83\) 4.52632 0.496828 0.248414 0.968654i \(-0.420091\pi\)
0.248414 + 0.968654i \(0.420091\pi\)
\(84\) 4.42594 1.18789i 0.482909 0.129609i
\(85\) −8.40889 + 14.5646i −0.912072 + 1.57976i
\(86\) −2.93788 + 1.69618i −0.316800 + 0.182904i
\(87\) 0.149675 + 3.69424i 0.0160469 + 0.396064i
\(88\) 1.08598 0.115766
\(89\) −8.48968 + 14.7046i −0.899905 + 1.55868i −0.0722904 + 0.997384i \(0.523031\pi\)
−0.827614 + 0.561297i \(0.810302\pi\)
\(90\) −10.5996 + 7.32319i −1.11730 + 0.771932i
\(91\) −4.86376 + 8.20633i −0.509860 + 0.860257i
\(92\) 7.63945i 0.796467i
\(93\) −1.77412 + 1.12242i −0.183967 + 0.116390i
\(94\) 9.95993i 1.02729i
\(95\) 15.0891 8.71167i 1.54810 0.893798i
\(96\) −0.0701179 1.73063i −0.00715638 0.176632i
\(97\) −10.7814 6.22463i −1.09468 0.632015i −0.159863 0.987139i \(-0.551105\pi\)
−0.934819 + 0.355124i \(0.884439\pi\)
\(98\) −6.97752 0.560526i −0.704836 0.0566217i
\(99\) 2.68043 1.85189i 0.269394 0.186122i
\(100\) −13.4424 −1.34424
\(101\) 5.20857 0.518272 0.259136 0.965841i \(-0.416562\pi\)
0.259136 + 0.965841i \(0.416562\pi\)
\(102\) −6.00672 3.15091i −0.594754 0.311986i
\(103\) −5.74356 + 3.31605i −0.565930 + 0.326740i −0.755522 0.655123i \(-0.772617\pi\)
0.189592 + 0.981863i \(0.439283\pi\)
\(104\) 2.62151 + 2.47541i 0.257061 + 0.242734i
\(105\) 19.0070 5.10133i 1.85489 0.497839i
\(106\) 1.62567 + 2.81574i 0.157899 + 0.273489i
\(107\) −4.85098 2.80071i −0.468962 0.270755i 0.246843 0.969055i \(-0.420607\pi\)
−0.715805 + 0.698300i \(0.753940\pi\)
\(108\) −3.12425 4.15200i −0.300631 0.399526i
\(109\) 6.04035 10.4622i 0.578561 1.00210i −0.417084 0.908868i \(-0.636948\pi\)
0.995645 0.0932289i \(-0.0297188\pi\)
\(110\) 4.66370 0.444667
\(111\) −5.62898 8.89726i −0.534280 0.844490i
\(112\) −0.786623 + 2.52611i −0.0743289 + 0.238695i
\(113\) −11.8295 6.82976i −1.11283 0.642490i −0.173266 0.984875i \(-0.555432\pi\)
−0.939560 + 0.342385i \(0.888765\pi\)
\(114\) 3.75710 + 5.93852i 0.351884 + 0.556194i
\(115\) 32.8073i 3.05929i
\(116\) −1.84864 1.06731i −0.171642 0.0990973i
\(117\) 10.6917 + 1.63947i 0.988447 + 0.151569i
\(118\) 1.64474i 0.151411i
\(119\) 7.02701 + 7.61415i 0.644165 + 0.697988i
\(120\) −0.301118 7.43212i −0.0274882 0.678457i
\(121\) 9.82064 0.892786
\(122\) −6.96907 + 12.0708i −0.630950 + 1.09284i
\(123\) −3.49086 + 0.141435i −0.314760 + 0.0127528i
\(124\) 1.21207i 0.108847i
\(125\) −36.2554 −3.24278
\(126\) 2.36613 + 7.57637i 0.210792 + 0.674957i
\(127\) −8.72940 15.1198i −0.774609 1.34166i −0.935014 0.354611i \(-0.884613\pi\)
0.160405 0.987051i \(-0.448720\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −3.14147 4.96545i −0.276591 0.437183i
\(130\) 11.2580 + 10.6306i 0.987390 + 0.932361i
\(131\) 4.80013 + 8.31407i 0.419389 + 0.726404i 0.995878 0.0907014i \(-0.0289109\pi\)
−0.576489 + 0.817105i \(0.695578\pi\)
\(132\) 0.0761468 + 1.87943i 0.00662773 + 0.163584i
\(133\) −2.36054 10.4715i −0.204684 0.907994i
\(134\) −6.96084 4.01884i −0.601325 0.347175i
\(135\) −13.4170 17.8306i −1.15475 1.53461i
\(136\) 3.39149 1.95808i 0.290818 0.167904i
\(137\) −0.845527 + 0.488165i −0.0722383 + 0.0417068i −0.535684 0.844418i \(-0.679946\pi\)
0.463446 + 0.886125i \(0.346613\pi\)
\(138\) −13.2211 + 0.535662i −1.12545 + 0.0455986i
\(139\) 4.16317 + 2.40361i 0.353116 + 0.203871i 0.666057 0.745901i \(-0.267981\pi\)
−0.312941 + 0.949773i \(0.601314\pi\)
\(140\) −3.37812 + 10.8483i −0.285503 + 0.916846i
\(141\) −17.2370 + 0.698369i −1.45161 + 0.0588133i
\(142\) 1.55305 + 2.68997i 0.130329 + 0.225737i
\(143\) −2.84692 2.68825i −0.238071 0.224803i
\(144\) 2.99017 0.242696i 0.249181 0.0202247i
\(145\) −7.93889 4.58352i −0.659289 0.380641i
\(146\) −2.23162 3.86528i −0.184690 0.319893i
\(147\) 0.480815 12.1148i 0.0396569 0.999213i
\(148\) 6.07856 0.499654
\(149\) 4.19428i 0.343609i 0.985131 + 0.171805i \(0.0549598\pi\)
−0.985131 + 0.171805i \(0.945040\pi\)
\(150\) −0.942551 23.2638i −0.0769589 1.89948i
\(151\) −4.52705 + 7.84109i −0.368406 + 0.638099i −0.989317 0.145783i \(-0.953430\pi\)
0.620910 + 0.783882i \(0.286763\pi\)
\(152\) −4.05717 −0.329080
\(153\) 5.03188 10.6163i 0.406803 0.858281i
\(154\) 0.854259 2.74331i 0.0688381 0.221062i
\(155\) 5.20517i 0.418089i
\(156\) −4.10021 + 4.71044i −0.328280 + 0.377137i
\(157\) 5.51607 + 3.18471i 0.440230 + 0.254167i 0.703695 0.710502i \(-0.251532\pi\)
−0.263465 + 0.964669i \(0.584865\pi\)
\(158\) 4.67252i 0.371726i
\(159\) −4.75902 + 3.01087i −0.377415 + 0.238777i
\(160\) 3.71911 + 2.14723i 0.294021 + 0.169753i
\(161\) 19.2981 + 6.00936i 1.52090 + 0.473604i
\(162\) 6.96651 5.69805i 0.547340 0.447681i
\(163\) −2.65466 −0.207929 −0.103964 0.994581i \(-0.533153\pi\)
−0.103964 + 0.994581i \(0.533153\pi\)
\(164\) 1.00855 1.74686i 0.0787545 0.136407i
\(165\) 0.327009 + 8.07115i 0.0254576 + 0.628338i
\(166\) −3.91991 2.26316i −0.304244 0.175655i
\(167\) −12.3076 21.3175i −0.952394 1.64959i −0.740222 0.672363i \(-0.765280\pi\)
−0.212172 0.977232i \(-0.568054\pi\)
\(168\) −4.42692 1.18423i −0.341544 0.0913652i
\(169\) −0.744666 12.9787i −0.0572820 0.998358i
\(170\) 14.5646 8.40889i 1.11706 0.644932i
\(171\) −10.0140 + 6.91855i −0.765786 + 0.529074i
\(172\) 3.39237 0.258666
\(173\) −11.3270 −0.861176 −0.430588 0.902549i \(-0.641694\pi\)
−0.430588 + 0.902549i \(0.641694\pi\)
\(174\) 1.71750 3.27414i 0.130203 0.248212i
\(175\) −10.5741 + 33.9569i −0.799325 + 2.56690i
\(176\) −0.940488 0.542991i −0.0708920 0.0409295i
\(177\) −2.84644 + 0.115326i −0.213952 + 0.00866843i
\(178\) 14.7046 8.48968i 1.10215 0.636329i
\(179\) 4.16273i 0.311137i 0.987825 + 0.155569i \(0.0497209\pi\)
−0.987825 + 0.155569i \(0.950279\pi\)
\(180\) 12.8411 1.04225i 0.957122 0.0776847i
\(181\) 15.2174i 1.13110i 0.824715 + 0.565549i \(0.191336\pi\)
−0.824715 + 0.565549i \(0.808664\pi\)
\(182\) 8.31530 4.67501i 0.616371 0.346535i
\(183\) −21.3787 11.2145i −1.58036 0.829001i
\(184\) 3.81972 6.61595i 0.281594 0.487735i
\(185\) 26.1041 1.91921
\(186\) 2.09764 0.0849876i 0.153807 0.00623160i
\(187\) −3.68310 + 2.12644i −0.269335 + 0.155501i
\(188\) 4.97996 8.62555i 0.363201 0.629083i
\(189\) −12.9460 + 4.62614i −0.941683 + 0.336502i
\(190\) −17.4233 −1.26402
\(191\) 2.93980i 0.212717i 0.994328 + 0.106358i \(0.0339191\pi\)
−0.994328 + 0.106358i \(0.966081\pi\)
\(192\) −0.804592 + 1.53383i −0.0580664 + 0.110695i
\(193\) −0.475216 −0.0342068 −0.0171034 0.999854i \(-0.505444\pi\)
−0.0171034 + 0.999854i \(0.505444\pi\)
\(194\) 6.22463 + 10.7814i 0.446902 + 0.774057i
\(195\) −17.6082 + 20.2288i −1.26095 + 1.44861i
\(196\) 5.76245 + 3.97419i 0.411603 + 0.283871i
\(197\) 15.1888 8.76926i 1.08216 0.624784i 0.150680 0.988583i \(-0.451854\pi\)
0.931478 + 0.363799i \(0.118520\pi\)
\(198\) −3.24727 + 0.263564i −0.230773 + 0.0187307i
\(199\) −0.645978 + 0.372956i −0.0457922 + 0.0264381i −0.522721 0.852504i \(-0.675083\pi\)
0.476929 + 0.878942i \(0.341750\pi\)
\(200\) 11.6414 + 6.72118i 0.823173 + 0.475259i
\(201\) 6.46706 12.3284i 0.456151 0.869581i
\(202\) −4.51075 2.60428i −0.317375 0.183237i
\(203\) −4.15032 + 3.83028i −0.291296 + 0.268833i
\(204\) 3.62652 + 5.73213i 0.253907 + 0.401329i
\(205\) 4.33118 7.50182i 0.302502 0.523950i
\(206\) 6.63210 0.462080
\(207\) −1.85407 22.8432i −0.128867 1.58771i
\(208\) −1.03259 3.45453i −0.0715973 0.239528i
\(209\) 4.40601 0.304770
\(210\) −19.0112 5.08562i −1.31190 0.350941i
\(211\) 8.40841 + 14.5638i 0.578859 + 1.00261i 0.995611 + 0.0935929i \(0.0298352\pi\)
−0.416751 + 0.909020i \(0.636831\pi\)
\(212\) 3.25134i 0.223303i
\(213\) −4.54645 + 2.87638i −0.311517 + 0.197086i
\(214\) 2.80071 + 4.85098i 0.191453 + 0.331606i
\(215\) 14.5684 0.993556
\(216\) 0.629682 + 5.15786i 0.0428445 + 0.350948i
\(217\) −3.06181 0.953440i −0.207849 0.0647237i
\(218\) −10.4622 + 6.04035i −0.708590 + 0.409104i
\(219\) 6.53290 4.13314i 0.441452 0.279292i
\(220\) −4.03889 2.33185i −0.272302 0.157213i
\(221\) −13.7379 3.26221i −0.924111 0.219440i
\(222\) 0.426216 + 10.5197i 0.0286057 + 0.706039i
\(223\) −19.8957 + 11.4868i −1.33232 + 0.769213i −0.985654 0.168777i \(-0.946018\pi\)
−0.346662 + 0.937990i \(0.612685\pi\)
\(224\) 1.94429 1.79436i 0.129908 0.119891i
\(225\) 40.1949 3.26241i 2.67966 0.217494i
\(226\) 6.82976 + 11.8295i 0.454309 + 0.786886i
\(227\) −4.79429 8.30396i −0.318208 0.551153i 0.661906 0.749587i \(-0.269748\pi\)
−0.980114 + 0.198434i \(0.936415\pi\)
\(228\) −0.284480 7.02146i −0.0188402 0.465008i
\(229\) 5.98689 3.45653i 0.395625 0.228414i −0.288970 0.957338i \(-0.593313\pi\)
0.684594 + 0.728924i \(0.259979\pi\)
\(230\) 16.4036 28.4119i 1.08162 1.87343i
\(231\) 4.80755 + 1.28605i 0.316314 + 0.0846160i
\(232\) 1.06731 + 1.84864i 0.0700724 + 0.121369i
\(233\) −13.8432 + 7.99238i −0.906899 + 0.523599i −0.879432 0.476024i \(-0.842077\pi\)
−0.0274670 + 0.999623i \(0.508744\pi\)
\(234\) −8.43954 6.76566i −0.551710 0.442285i
\(235\) 21.3862 37.0421i 1.39508 2.41636i
\(236\) 0.822371 1.42439i 0.0535318 0.0927198i
\(237\) 8.08641 0.327627i 0.525268 0.0212817i
\(238\) −2.27849 10.1076i −0.147693 0.655175i
\(239\) 15.7358i 1.01786i −0.860807 0.508931i \(-0.830041\pi\)
0.860807 0.508931i \(-0.169959\pi\)
\(240\) −3.45528 + 6.58696i −0.223038 + 0.425187i
\(241\) −15.8715 + 9.16342i −1.02237 + 0.590268i −0.914791 0.403928i \(-0.867644\pi\)
−0.107583 + 0.994196i \(0.534311\pi\)
\(242\) −8.50493 4.91032i −0.546717 0.315647i
\(243\) 10.3497 + 11.6569i 0.663934 + 0.747791i
\(244\) 12.0708 6.96907i 0.772753 0.446149i
\(245\) 24.7466 + 17.0670i 1.58100 + 1.09037i
\(246\) 3.09389 + 1.62294i 0.197259 + 0.103475i
\(247\) 10.6359 + 10.0432i 0.676747 + 0.639031i
\(248\) −0.606034 + 1.04968i −0.0384832 + 0.0666548i
\(249\) 3.64184 6.94260i 0.230792 0.439969i
\(250\) 31.3981 + 18.1277i 1.98579 + 1.14650i
\(251\) −4.55211 + 7.88449i −0.287327 + 0.497665i −0.973171 0.230084i \(-0.926100\pi\)
0.685844 + 0.727749i \(0.259433\pi\)
\(252\) 1.73906 7.74440i 0.109550 0.487851i
\(253\) −4.14815 + 7.18481i −0.260792 + 0.451705i
\(254\) 17.4588i 1.09546i
\(255\) 15.5739 + 24.6164i 0.975277 + 1.54154i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −4.47385 + 7.74893i −0.279071 + 0.483365i −0.971154 0.238453i \(-0.923360\pi\)
0.692083 + 0.721818i \(0.256693\pi\)
\(258\) 0.237866 + 5.87094i 0.0148089 + 0.365509i
\(259\) 4.78153 15.3551i 0.297110 0.954119i
\(260\) −4.43442 14.8353i −0.275011 0.920047i
\(261\) 5.78676 + 2.74278i 0.358192 + 0.169774i
\(262\) 9.60026i 0.593106i
\(263\) 21.2499i 1.31033i 0.755487 + 0.655164i \(0.227400\pi\)
−0.755487 + 0.655164i \(0.772600\pi\)
\(264\) 0.873772 1.66571i 0.0537770 0.102517i
\(265\) 13.9627i 0.857724i
\(266\) −3.19146 + 10.2488i −0.195681 + 0.628397i
\(267\) 15.7236 + 24.8529i 0.962267 + 1.52097i
\(268\) 4.01884 + 6.96084i 0.245490 + 0.425201i
\(269\) 4.55699 + 7.89294i 0.277845 + 0.481241i 0.970849 0.239692i \(-0.0770466\pi\)
−0.693004 + 0.720934i \(0.743713\pi\)
\(270\) 2.70414 + 22.1502i 0.164569 + 1.34802i
\(271\) −20.6044 11.8959i −1.25163 0.722627i −0.280194 0.959943i \(-0.590399\pi\)
−0.971432 + 0.237316i \(0.923732\pi\)
\(272\) −3.91616 −0.237452
\(273\) 8.67377 + 14.0629i 0.524960 + 0.851127i
\(274\) 0.976331 0.0589823
\(275\) −12.6424 7.29908i −0.762365 0.440151i
\(276\) 11.7176 + 6.14663i 0.705317 + 0.369984i
\(277\) −8.04262 13.9302i −0.483234 0.836986i 0.516581 0.856239i \(-0.327205\pi\)
−0.999815 + 0.0192526i \(0.993871\pi\)
\(278\) −2.40361 4.16317i −0.144159 0.249690i
\(279\) 0.294164 + 3.62428i 0.0176112 + 0.216980i
\(280\) 8.34967 7.70581i 0.498988 0.460510i
\(281\) 4.07708i 0.243218i −0.992578 0.121609i \(-0.961195\pi\)
0.992578 0.121609i \(-0.0388055\pi\)
\(282\) 15.2768 + 8.01367i 0.909722 + 0.477207i
\(283\) 9.30729i 0.553261i 0.960976 + 0.276630i \(0.0892178\pi\)
−0.960976 + 0.276630i \(0.910782\pi\)
\(284\) 3.10611i 0.184314i
\(285\) −1.22169 30.1534i −0.0723665 1.78613i
\(286\) 1.12138 + 3.75156i 0.0663083 + 0.221834i
\(287\) −3.61941 3.92183i −0.213647 0.231498i
\(288\) −2.71091 1.28490i −0.159742 0.0757136i
\(289\) 0.831850 1.44081i 0.0489323 0.0847533i
\(290\) 4.58352 + 7.93889i 0.269154 + 0.466188i
\(291\) −18.2221 + 11.5285i −1.06820 + 0.675813i
\(292\) 4.46324i 0.261191i
\(293\) 5.17715 8.96708i 0.302452 0.523862i −0.674239 0.738513i \(-0.735528\pi\)
0.976691 + 0.214651i \(0.0688614\pi\)
\(294\) −6.47381 + 10.2513i −0.377560 + 0.597870i
\(295\) 3.53164 6.11698i 0.205620 0.356144i
\(296\) −5.26419 3.03928i −0.305975 0.176655i
\(297\) −0.683824 5.60134i −0.0396795 0.325023i
\(298\) 2.09714 3.63236i 0.121484 0.210417i
\(299\) −26.3907 + 7.88842i −1.52621 + 0.456199i
\(300\) −10.8156 + 20.6183i −0.624440 + 1.19040i
\(301\) 2.66852 8.56949i 0.153811 0.493937i
\(302\) 7.84109 4.52705i 0.451204 0.260503i
\(303\) 4.19077 7.98905i 0.240753 0.458959i
\(304\) 3.51361 + 2.02858i 0.201519 + 0.116347i
\(305\) 51.8375 29.9284i 2.96821 1.71369i
\(306\) −9.66591 + 6.67809i −0.552563 + 0.381761i
\(307\) 3.63183i 0.207280i −0.994615 0.103640i \(-0.966951\pi\)
0.994615 0.103640i \(-0.0330489\pi\)
\(308\) −2.11146 + 1.94865i −0.120312 + 0.111034i
\(309\) 0.465029 + 11.4777i 0.0264546 + 0.652944i
\(310\) −2.60259 + 4.50781i −0.147817 + 0.256026i
\(311\) −7.55359 + 13.0832i −0.428325 + 0.741881i −0.996724 0.0808721i \(-0.974229\pi\)
0.568400 + 0.822753i \(0.307563\pi\)
\(312\) 5.90611 2.02926i 0.334368 0.114884i
\(313\) −21.7519 + 12.5585i −1.22949 + 0.709848i −0.966924 0.255066i \(-0.917903\pi\)
−0.262568 + 0.964913i \(0.584569\pi\)
\(314\) −3.18471 5.51607i −0.179723 0.311290i
\(315\) 7.46831 33.2580i 0.420791 1.87387i
\(316\) −2.33626 + 4.04652i −0.131425 + 0.227635i
\(317\) 9.48911 5.47854i 0.532962 0.307706i −0.209260 0.977860i \(-0.567105\pi\)
0.742222 + 0.670154i \(0.233772\pi\)
\(318\) 5.62687 0.227977i 0.315539 0.0127843i
\(319\) −1.15908 2.00759i −0.0648960 0.112403i
\(320\) −2.14723 3.71911i −0.120034 0.207905i
\(321\) −8.19887 + 5.18714i −0.457617 + 0.289518i
\(322\) −13.7079 14.8533i −0.763913 0.827742i
\(323\) 13.7599 7.94426i 0.765619 0.442030i
\(324\) −8.88220 + 1.45141i −0.493455 + 0.0806337i
\(325\) −13.8805 46.4370i −0.769950 2.57586i
\(326\) 2.29900 + 1.32733i 0.127330 + 0.0735140i
\(327\) −11.1872 17.6827i −0.618654 0.977854i
\(328\) −1.74686 + 1.00855i −0.0964542 + 0.0556879i
\(329\) −17.8717 19.3650i −0.985300 1.06763i
\(330\) 3.75238 7.15333i 0.206562 0.393778i
\(331\) 5.01376 0.275581 0.137791 0.990461i \(-0.456000\pi\)
0.137791 + 0.990461i \(0.456000\pi\)
\(332\) 2.26316 + 3.91991i 0.124207 + 0.215133i
\(333\) −18.1759 + 1.47524i −0.996033 + 0.0808429i
\(334\) 24.6153i 1.34689i
\(335\) 17.2588 + 29.8930i 0.942946 + 1.63323i
\(336\) 3.24171 + 3.23903i 0.176850 + 0.176704i
\(337\) 27.4419 1.49486 0.747428 0.664343i \(-0.231288\pi\)
0.747428 + 0.664343i \(0.231288\pi\)
\(338\) −5.84443 + 11.6122i −0.317895 + 0.631619i
\(339\) −19.9936 + 12.6493i −1.08590 + 0.687013i
\(340\) −16.8178 −0.912072
\(341\) 0.658142 1.13994i 0.0356404 0.0617310i
\(342\) 12.1316 0.984660i 0.656002 0.0532443i
\(343\) 14.5721 11.4304i 0.786820 0.617182i
\(344\) −2.93788 1.69618i −0.158400 0.0914522i
\(345\) 50.3208 + 26.3965i 2.70918 + 1.42114i
\(346\) 9.80947 + 5.66350i 0.527360 + 0.304472i
\(347\) 25.3779 14.6519i 1.36236 0.786558i 0.372420 0.928064i \(-0.378528\pi\)
0.989937 + 0.141507i \(0.0451946\pi\)
\(348\) −3.12447 + 1.97674i −0.167489 + 0.105965i
\(349\) 20.5600 11.8703i 1.10055 0.635402i 0.164184 0.986430i \(-0.447501\pi\)
0.936365 + 0.351027i \(0.114168\pi\)
\(350\) 26.1359 24.1205i 1.39702 1.28929i
\(351\) 11.1171 15.0801i 0.593387 0.804917i
\(352\) 0.542991 + 0.940488i 0.0289415 + 0.0501282i
\(353\) −7.60250 −0.404640 −0.202320 0.979319i \(-0.564848\pi\)
−0.202320 + 0.979319i \(0.564848\pi\)
\(354\) 2.52275 + 1.32335i 0.134083 + 0.0703351i
\(355\) 13.3391i 0.707963i
\(356\) −16.9794 −0.899905
\(357\) 17.3327 4.65195i 0.917342 0.246207i
\(358\) 2.08136 3.60503i 0.110004 0.190532i
\(359\) 19.1204 11.0392i 1.00914 0.582626i 0.0981985 0.995167i \(-0.468692\pi\)
0.910939 + 0.412541i \(0.135359\pi\)
\(360\) −11.6419 5.51796i −0.613581 0.290822i
\(361\) 2.53939 0.133652
\(362\) 7.60868 13.1786i 0.399903 0.692653i
\(363\) 7.90161 15.0632i 0.414727 0.790612i
\(364\) −9.53877 0.108974i −0.499967 0.00571178i
\(365\) 19.1672i 1.00326i
\(366\) 12.9073 + 20.4014i 0.674674 + 1.06640i
\(367\) 7.20404i 0.376048i −0.982164 0.188024i \(-0.939792\pi\)
0.982164 0.188024i \(-0.0602083\pi\)
\(368\) −6.61595 + 3.81972i −0.344880 + 0.199117i
\(369\) −2.59178 + 5.46817i −0.134922 + 0.284662i
\(370\) −22.6068 13.0521i −1.17527 0.678544i
\(371\) −8.21324 2.55758i −0.426410 0.132783i
\(372\) −1.85910 0.975219i −0.0963901 0.0505628i
\(373\) −26.6689 −1.38086 −0.690432 0.723397i \(-0.742580\pi\)
−0.690432 + 0.723397i \(0.742580\pi\)
\(374\) 4.25288 0.219911
\(375\) −29.1708 + 55.6096i −1.50637 + 2.87167i
\(376\) −8.62555 + 4.97996i −0.444829 + 0.256822i
\(377\) 1.77817 7.48826i 0.0915803 0.385665i
\(378\) 13.5246 + 2.46664i 0.695632 + 0.126871i
\(379\) −9.47287 16.4075i −0.486589 0.842796i 0.513292 0.858214i \(-0.328426\pi\)
−0.999881 + 0.0154174i \(0.995092\pi\)
\(380\) 15.0891 + 8.71167i 0.774052 + 0.446899i
\(381\) −30.2147 + 1.22417i −1.54795 + 0.0627163i
\(382\) 1.46990 2.54594i 0.0752067 0.130262i
\(383\) 29.9109 1.52838 0.764188 0.644994i \(-0.223140\pi\)
0.764188 + 0.644994i \(0.223140\pi\)
\(384\) 1.46371 0.926039i 0.0746947 0.0472567i
\(385\) −9.06759 + 8.36838i −0.462127 + 0.426492i
\(386\) 0.411549 + 0.237608i 0.0209473 + 0.0120939i
\(387\) −10.1438 + 0.823316i −0.515636 + 0.0418515i
\(388\) 12.4493i 0.632015i
\(389\) −0.821075 0.474048i −0.0416301 0.0240352i 0.479040 0.877793i \(-0.340985\pi\)
−0.520671 + 0.853758i \(0.674318\pi\)
\(390\) 25.3635 8.71456i 1.28433 0.441279i
\(391\) 29.9173i 1.51298i
\(392\) −3.00333 6.32297i −0.151691 0.319358i
\(393\) 16.6145 0.673150i 0.838091 0.0339559i
\(394\) −17.5385 −0.883578
\(395\) −10.0330 + 17.3776i −0.504813 + 0.874362i
\(396\) 2.94400 + 1.39538i 0.147942 + 0.0701205i
\(397\) 13.9746i 0.701363i 0.936495 + 0.350682i \(0.114050\pi\)
−0.936495 + 0.350682i \(0.885950\pi\)
\(398\) 0.745911 0.0373891
\(399\) −17.9608 4.80462i −0.899162 0.240532i
\(400\) −6.72118 11.6414i −0.336059 0.582071i
\(401\) −32.3390 18.6709i −1.61493 0.932381i −0.988204 0.153143i \(-0.951060\pi\)
−0.626728 0.779238i \(-0.715606\pi\)
\(402\) −11.7649 + 7.44321i −0.586778 + 0.371234i
\(403\) 4.18712 1.25157i 0.208575 0.0623451i
\(404\) 2.60428 + 4.51075i 0.129568 + 0.224418i
\(405\) −38.1442 + 6.23300i −1.89540 + 0.309720i
\(406\) 5.50943 1.24196i 0.273428 0.0616376i
\(407\) 5.71681 + 3.30060i 0.283372 + 0.163605i
\(408\) −0.274593 6.77743i −0.0135944 0.335533i
\(409\) −7.02063 + 4.05336i −0.347148 + 0.200426i −0.663428 0.748240i \(-0.730899\pi\)
0.316281 + 0.948666i \(0.397566\pi\)
\(410\) −7.50182 + 4.33118i −0.370488 + 0.213902i
\(411\) 0.0684583 + 1.68967i 0.00337680 + 0.0833452i
\(412\) −5.74356 3.31605i −0.282965 0.163370i
\(413\) −2.95127 3.19786i −0.145222 0.157356i
\(414\) −9.81594 + 20.7098i −0.482427 + 1.01783i
\(415\) 9.71904 + 16.8339i 0.477089 + 0.826342i
\(416\) −0.833013 + 3.50800i −0.0408418 + 0.171994i
\(417\) 7.03638 4.45167i 0.344573 0.217999i
\(418\) −3.81572 2.20301i −0.186633 0.107753i
\(419\) 6.79325 + 11.7663i 0.331872 + 0.574819i 0.982879 0.184253i \(-0.0589864\pi\)
−0.651007 + 0.759072i \(0.725653\pi\)
\(420\) 13.9214 + 13.9099i 0.679294 + 0.678733i
\(421\) 28.4439 1.38627 0.693136 0.720807i \(-0.256229\pi\)
0.693136 + 0.720807i \(0.256229\pi\)
\(422\) 16.8168i 0.818630i
\(423\) −12.7975 + 27.0005i −0.622237 + 1.31281i
\(424\) −1.62567 + 2.81574i −0.0789495 + 0.136745i
\(425\) −52.6424 −2.55353
\(426\) 5.37553 0.217794i 0.260445 0.0105521i
\(427\) −8.10947 35.9741i −0.392445 1.74091i
\(428\) 5.60143i 0.270755i
\(429\) −6.41393 + 2.20374i −0.309667 + 0.106397i
\(430\) −12.6166 7.28419i −0.608426 0.351275i
\(431\) 12.1183i 0.583717i 0.956461 + 0.291859i \(0.0942737\pi\)
−0.956461 + 0.291859i \(0.905726\pi\)
\(432\) 2.03361 4.78168i 0.0978420 0.230059i
\(433\) 5.42399 + 3.13154i 0.260661 + 0.150492i 0.624636 0.780916i \(-0.285247\pi\)
−0.363975 + 0.931409i \(0.618581\pi\)
\(434\) 2.17489 + 2.35661i 0.104398 + 0.113121i
\(435\) −13.4179 + 8.48904i −0.643339 + 0.407018i
\(436\) 12.0807 0.578561
\(437\) 15.4973 26.8420i 0.741334 1.28403i
\(438\) −7.72422 + 0.312953i −0.369078 + 0.0149535i
\(439\) 28.4056 + 16.4000i 1.35573 + 0.782729i 0.989044 0.147618i \(-0.0471606\pi\)
0.366681 + 0.930347i \(0.380494\pi\)
\(440\) 2.33185 + 4.03889i 0.111167 + 0.192546i
\(441\) −18.1952 10.4850i −0.866438 0.499284i
\(442\) 10.2663 + 9.69411i 0.488316 + 0.461102i
\(443\) 15.8838 9.17053i 0.754663 0.435705i −0.0727133 0.997353i \(-0.523166\pi\)
0.827376 + 0.561648i \(0.189832\pi\)
\(444\) 4.89076 9.32347i 0.232105 0.442472i
\(445\) −72.9172 −3.45661
\(446\) 22.9736 1.08783
\(447\) 6.43332 + 3.37469i 0.304285 + 0.159617i
\(448\) −2.58099 + 0.581819i −0.121940 + 0.0274883i
\(449\) −14.5674 8.41050i −0.687478 0.396916i 0.115188 0.993344i \(-0.463253\pi\)
−0.802667 + 0.596428i \(0.796586\pi\)
\(450\) −36.4410 17.2721i −1.71785 0.814216i
\(451\) 1.89706 1.09527i 0.0893290 0.0515741i
\(452\) 13.6595i 0.642490i
\(453\) 8.38446 + 13.2526i 0.393936 + 0.622661i
\(454\) 9.58859i 0.450015i
\(455\) −40.9638 0.467984i −1.92041 0.0219394i
\(456\) −3.26436 + 6.22300i −0.152868 + 0.291419i
\(457\) −18.3813 + 31.8373i −0.859840 + 1.48929i 0.0122413 + 0.999925i \(0.496103\pi\)
−0.872081 + 0.489361i \(0.837230\pi\)
\(458\) −6.91307 −0.323026
\(459\) −12.2351 16.2599i −0.571084 0.758946i
\(460\) −28.4119 + 16.4036i −1.32471 + 0.764824i
\(461\) −7.08949 + 12.2793i −0.330190 + 0.571906i −0.982549 0.186004i \(-0.940446\pi\)
0.652359 + 0.757910i \(0.273780\pi\)
\(462\) −3.52044 3.51753i −0.163786 0.163650i
\(463\) −23.7992 −1.10604 −0.553022 0.833167i \(-0.686525\pi\)
−0.553022 + 0.833167i \(0.686525\pi\)
\(464\) 2.13462i 0.0990973i
\(465\) −7.98385 4.18804i −0.370242 0.194216i
\(466\) 15.9848 0.740480
\(467\) −2.73830 4.74288i −0.126713 0.219474i 0.795688 0.605707i \(-0.207110\pi\)
−0.922401 + 0.386233i \(0.873776\pi\)
\(468\) 3.92602 + 10.0790i 0.181480 + 0.465902i
\(469\) 20.7452 4.67648i 0.957922 0.215940i
\(470\) −37.0421 + 21.3862i −1.70862 + 0.986474i
\(471\) 9.32298 5.89833i 0.429580 0.271781i
\(472\) −1.42439 + 0.822371i −0.0655628 + 0.0378527i
\(473\) 3.19048 + 1.84203i 0.146699 + 0.0846965i
\(474\) −7.16685 3.75947i −0.329184 0.172678i
\(475\) 47.2312 + 27.2690i 2.16712 + 1.25119i
\(476\) −3.08054 + 9.89264i −0.141196 + 0.453429i
\(477\) 0.789089 + 9.72205i 0.0361299 + 0.445142i
\(478\) −7.86788 + 13.6276i −0.359869 + 0.623311i
\(479\) 12.9339 0.590963 0.295482 0.955348i \(-0.404520\pi\)
0.295482 + 0.955348i \(0.404520\pi\)
\(480\) 6.28585 3.97684i 0.286908 0.181517i
\(481\) 6.27666 + 20.9985i 0.286191 + 0.957451i
\(482\) 18.3268 0.834765
\(483\) 24.7444 24.7649i 1.12591 1.12684i
\(484\) 4.91032 + 8.50493i 0.223196 + 0.386588i
\(485\) 53.4628i 2.42762i
\(486\) −3.13465 15.2700i −0.142191 0.692663i
\(487\) 5.77625 + 10.0048i 0.261747 + 0.453359i 0.966706 0.255889i \(-0.0823681\pi\)
−0.704959 + 0.709248i \(0.749035\pi\)
\(488\) −13.9381 −0.630950
\(489\) −2.13592 + 4.07179i −0.0965895 + 0.184133i
\(490\) −12.8977 27.1537i −0.582658 1.22668i
\(491\) 18.2188 10.5186i 0.822202 0.474698i −0.0289733 0.999580i \(-0.509224\pi\)
0.851175 + 0.524882i \(0.175890\pi\)
\(492\) −1.86791 2.95245i −0.0842121 0.133107i
\(493\) −7.23955 4.17976i −0.326053 0.188247i
\(494\) −4.18940 14.0156i −0.188490 0.630592i
\(495\) 12.6429 + 5.99240i 0.568255 + 0.269339i
\(496\) 1.04968 0.606034i 0.0471321 0.0272117i
\(497\) −7.84637 2.44334i −0.351958 0.109599i
\(498\) −6.62522 + 4.19155i −0.296883 + 0.187828i
\(499\) 12.4392 + 21.5453i 0.556855 + 0.964502i 0.997757 + 0.0669462i \(0.0213256\pi\)
−0.440901 + 0.897556i \(0.645341\pi\)
\(500\) −18.1277 31.3981i −0.810695 1.40416i
\(501\) −42.6000 + 1.72597i −1.90323 + 0.0771108i
\(502\) 7.88449 4.55211i 0.351902 0.203171i
\(503\) −0.553605 + 0.958873i −0.0246840 + 0.0427540i −0.878104 0.478471i \(-0.841191\pi\)
0.853420 + 0.521225i \(0.174525\pi\)
\(504\) −5.37827 + 5.83732i −0.239567 + 0.260015i
\(505\) 11.1840 + 19.3712i 0.497681 + 0.862008i
\(506\) 7.18481 4.14815i 0.319404 0.184408i
\(507\) −20.5062 9.30033i −0.910712 0.413042i
\(508\) 8.72940 15.1198i 0.387304 0.670831i
\(509\) −4.65580 + 8.06408i −0.206365 + 0.357434i −0.950567 0.310521i \(-0.899497\pi\)
0.744202 + 0.667955i \(0.232830\pi\)
\(510\) −1.17923 29.1054i −0.0522171 1.28881i
\(511\) 11.2746 + 3.51089i 0.498760 + 0.155313i
\(512\) 1.00000i 0.0441942i
\(513\) 2.55473 + 20.9263i 0.112794 + 0.923919i
\(514\) 7.74893 4.47385i 0.341791 0.197333i
\(515\) −24.6655 14.2406i −1.08689 0.627517i
\(516\) 2.72947 5.20332i 0.120158 0.229063i
\(517\) 9.36720 5.40815i 0.411969 0.237850i
\(518\) −11.8185 + 10.9071i −0.519274 + 0.479232i
\(519\) −9.11361 + 17.3737i −0.400043 + 0.762620i
\(520\) −3.57734 + 15.0650i −0.156877 + 0.660643i
\(521\) −1.07206 + 1.85687i −0.0469680 + 0.0813510i −0.888554 0.458773i \(-0.848289\pi\)
0.841586 + 0.540124i \(0.181623\pi\)
\(522\) −3.64009 5.26870i −0.159323 0.230605i
\(523\) 19.6892 + 11.3676i 0.860949 + 0.497069i 0.864330 0.502925i \(-0.167743\pi\)
−0.00338098 + 0.999994i \(0.501076\pi\)
\(524\) −4.80013 + 8.31407i −0.209695 + 0.363202i
\(525\) 43.5762 + 43.5402i 1.90182 + 1.90025i
\(526\) 10.6250 18.4030i 0.463271 0.802409i
\(527\) 4.74665i 0.206767i
\(528\) −1.58956 + 1.00566i −0.0691769 + 0.0437658i
\(529\) 17.6806 + 30.6236i 0.768720 + 1.33146i
\(530\) −6.98137 + 12.0921i −0.303251 + 0.525247i
\(531\) −2.11333 + 4.45875i −0.0917109 + 0.193493i
\(532\) 7.88831 7.28003i 0.342002 0.315629i
\(533\) 7.07600 + 1.68027i 0.306495 + 0.0727806i
\(534\) −1.19056 29.3850i −0.0515205 1.27161i
\(535\) 24.0551i 1.03999i
\(536\) 8.03769i 0.347175i
\(537\) 6.38492 + 3.34930i 0.275529 + 0.144533i
\(538\) 9.11399i 0.392932i
\(539\) 3.26156 + 6.86664i 0.140486 + 0.295767i
\(540\) 8.73324 20.5347i 0.375819 0.883673i
\(541\) −12.4149 21.5032i −0.533756 0.924493i −0.999222 0.0394274i \(-0.987447\pi\)
0.465466 0.885066i \(-0.345887\pi\)
\(542\) 11.8959 + 20.6044i 0.510975 + 0.885034i
\(543\) 23.3408 + 12.2438i 1.00165 + 0.525430i
\(544\) 3.39149 + 1.95808i 0.145409 + 0.0839520i
\(545\) 51.8801 2.22230
\(546\) −0.480245 16.5157i −0.0205526 0.706808i
\(547\) 12.4908 0.534066 0.267033 0.963687i \(-0.413957\pi\)
0.267033 + 0.963687i \(0.413957\pi\)
\(548\) −0.845527 0.488165i −0.0361191 0.0208534i
\(549\) −34.4023 + 23.7682i −1.46825 + 1.01440i
\(550\) 7.29908 + 12.6424i 0.311234 + 0.539073i
\(551\) 4.33026 + 7.50023i 0.184475 + 0.319520i
\(552\) −7.07443 11.1819i −0.301108 0.475935i
\(553\) 8.38419 + 9.08473i 0.356532 + 0.386322i
\(554\) 16.0852i 0.683396i
\(555\) 21.0031 40.0392i 0.891534 1.69957i
\(556\) 4.80722i 0.203871i
\(557\) 7.02871i 0.297816i −0.988851 0.148908i \(-0.952424\pi\)
0.988851 0.148908i \(-0.0475758\pi\)
\(558\) 1.55739 3.28580i 0.0659295 0.139099i
\(559\) 3.50293 + 11.7190i 0.148158 + 0.495662i
\(560\) −11.0839 + 2.49860i −0.468382 + 0.105585i
\(561\) 0.298203 + 7.36016i 0.0125901 + 0.310746i
\(562\) −2.03854 + 3.53086i −0.0859907 + 0.148940i
\(563\) 0.887780 + 1.53768i 0.0374155 + 0.0648055i 0.884127 0.467247i \(-0.154754\pi\)
−0.846711 + 0.532053i \(0.821421\pi\)
\(564\) −9.22329 14.5785i −0.388370 0.613864i
\(565\) 58.6602i 2.46785i
\(566\) 4.65364 8.06035i 0.195607 0.338802i
\(567\) −3.32053 + 23.5791i −0.139449 + 0.990229i
\(568\) −1.55305 + 2.68997i −0.0651647 + 0.112869i
\(569\) −4.46613 2.57852i −0.187230 0.108097i 0.403455 0.914999i \(-0.367809\pi\)
−0.590685 + 0.806902i \(0.701142\pi\)
\(570\) −14.0187 + 26.7244i −0.587177 + 1.11936i
\(571\) 12.8678 22.2876i 0.538499 0.932707i −0.460486 0.887667i \(-0.652325\pi\)
0.998985 0.0450405i \(-0.0143417\pi\)
\(572\) 0.904638 3.80963i 0.0378248 0.159289i
\(573\) 4.50916 + 2.36534i 0.188373 + 0.0988136i
\(574\) 1.17359 + 5.20611i 0.0489846 + 0.217299i
\(575\) −88.9341 + 51.3461i −3.70881 + 2.14128i
\(576\) 1.70526 + 2.46821i 0.0710527 + 0.102842i
\(577\) −5.09936 2.94412i −0.212289 0.122565i 0.390086 0.920779i \(-0.372445\pi\)
−0.602375 + 0.798213i \(0.705779\pi\)
\(578\) −1.44081 + 0.831850i −0.0599296 + 0.0346004i
\(579\) −0.382355 + 0.728901i −0.0158901 + 0.0302921i
\(580\) 9.16704i 0.380641i
\(581\) 11.6824 2.63350i 0.484666 0.109256i
\(582\) 21.5451 0.872916i 0.893072 0.0361835i
\(583\) 1.76545 3.05785i 0.0731174 0.126643i
\(584\) 2.23162 3.86528i 0.0923451 0.159946i
\(585\) 16.8601 + 43.2839i 0.697081 + 1.78957i
\(586\) −8.96708 + 5.17715i −0.370427 + 0.213866i
\(587\) −19.3999 33.6017i −0.800721 1.38689i −0.919142 0.393926i \(-0.871117\pi\)
0.118421 0.992963i \(-0.462217\pi\)
\(588\) 10.7321 5.64101i 0.442586 0.232631i
\(589\) −2.45878 + 4.25873i −0.101312 + 0.175478i
\(590\) −6.11698 + 3.53164i −0.251832 + 0.145395i
\(591\) −1.22976 30.3527i −0.0505858 1.24854i
\(592\) 3.03928 + 5.26419i 0.124914 + 0.216357i
\(593\) −8.45753 14.6489i −0.347309 0.601557i 0.638461 0.769654i \(-0.279571\pi\)
−0.985770 + 0.168097i \(0.946238\pi\)
\(594\) −2.20846 + 5.19282i −0.0906143 + 0.213064i
\(595\) −13.2293 + 42.4835i −0.542346 + 1.74165i
\(596\) −3.63236 + 2.09714i −0.148787 + 0.0859023i
\(597\) 0.0523017 + 1.29090i 0.00214057 + 0.0528329i
\(598\) 26.7992 + 6.36376i 1.09590 + 0.260234i
\(599\) −27.3660 15.7998i −1.11814 0.645561i −0.177217 0.984172i \(-0.556710\pi\)
−0.940926 + 0.338611i \(0.890043\pi\)
\(600\) 19.6757 12.4482i 0.803259 0.508194i
\(601\) 5.98901 3.45775i 0.244297 0.141045i −0.372853 0.927890i \(-0.621621\pi\)
0.617150 + 0.786846i \(0.288287\pi\)
\(602\) −6.59575 + 6.08714i −0.268823 + 0.248093i
\(603\) −13.7064 19.8387i −0.558167 0.807895i
\(604\) −9.05411 −0.368406
\(605\) 21.0872 + 36.5240i 0.857315 + 1.48491i
\(606\) −7.62384 + 4.82334i −0.309697 + 0.195935i
\(607\) 28.1401i 1.14217i −0.820890 0.571086i \(-0.806522\pi\)
0.820890 0.571086i \(-0.193478\pi\)
\(608\) −2.02858 3.51361i −0.0822699 0.142496i
\(609\) 2.53569 + 9.44770i 0.102751 + 0.382840i
\(610\) −59.8568 −2.42353
\(611\) 34.9395 + 8.29675i 1.41350 + 0.335651i
\(612\) 11.7100 0.950438i 0.473347 0.0384192i
\(613\) 45.8879 1.85340 0.926698 0.375807i \(-0.122634\pi\)
0.926698 + 0.375807i \(0.122634\pi\)
\(614\) −1.81592 + 3.14526i −0.0732844 + 0.126932i
\(615\) −8.02168 12.6792i −0.323465 0.511274i
\(616\) 2.80290 0.631845i 0.112932 0.0254577i
\(617\) −13.1635 7.59995i −0.529942 0.305962i 0.211051 0.977475i \(-0.432312\pi\)
−0.740993 + 0.671513i \(0.765645\pi\)
\(618\) 5.33613 10.1725i 0.214651 0.409198i
\(619\) 42.0050 + 24.2516i 1.68832 + 0.974753i 0.955804 + 0.294005i \(0.0949882\pi\)
0.732518 + 0.680748i \(0.238345\pi\)
\(620\) 4.50781 2.60259i 0.181038 0.104522i
\(621\) −36.5294 15.5356i −1.46587 0.623424i
\(622\) 13.0832 7.55359i 0.524589 0.302871i
\(623\) −13.3564 + 42.8917i −0.535111 + 1.71842i
\(624\) −6.12947 1.19566i −0.245375 0.0478649i
\(625\) −44.2427 76.6305i −1.76971 3.06522i
\(626\) 25.1170 1.00388
\(627\) 3.54504 6.75807i 0.141575 0.269891i
\(628\) 6.36941i 0.254167i
\(629\) 23.8046 0.949152
\(630\) −23.0967 + 25.0681i −0.920196 + 0.998737i
\(631\) −6.26200 + 10.8461i −0.249286 + 0.431776i −0.963328 0.268327i \(-0.913529\pi\)
0.714042 + 0.700103i \(0.246863\pi\)
\(632\) 4.04652 2.33626i 0.160962 0.0929314i
\(633\) 29.1037 1.17916i 1.15677 0.0468674i
\(634\) −10.9571 −0.435161
\(635\) 37.4880 64.9312i 1.48767 2.57671i
\(636\) −4.98700 2.61600i −0.197747 0.103731i
\(637\) −7.77870 + 24.0102i −0.308203 + 0.951321i
\(638\) 2.31816i 0.0917769i
\(639\) 0.753842 + 9.28778i 0.0298215 + 0.367419i
\(640\) 4.29446i 0.169753i
\(641\) −0.626662 + 0.361803i −0.0247517 + 0.0142904i −0.512325 0.858792i \(-0.671216\pi\)
0.487573 + 0.873082i \(0.337882\pi\)
\(642\) 9.69401 0.392760i 0.382592 0.0155010i
\(643\) −32.0601 18.5099i −1.26433 0.729959i −0.290418 0.956900i \(-0.593794\pi\)
−0.973909 + 0.226940i \(0.927128\pi\)
\(644\) 4.44477 + 19.7173i 0.175149 + 0.776970i
\(645\) 11.7216 22.3454i 0.461538 0.879850i
\(646\) −15.8885 −0.625125
\(647\) 28.5617 1.12288 0.561439 0.827518i \(-0.310248\pi\)
0.561439 + 0.827518i \(0.310248\pi\)
\(648\) 8.41791 + 3.18414i 0.330687 + 0.125085i
\(649\) 1.54686 0.893081i 0.0607196 0.0350565i
\(650\) −11.1977 + 47.1559i −0.439209 + 1.84961i
\(651\) −3.92592 + 3.92917i −0.153869 + 0.153996i
\(652\) −1.32733 2.29900i −0.0519822 0.0900359i
\(653\) 12.5433 + 7.24187i 0.490856 + 0.283396i 0.724930 0.688823i \(-0.241872\pi\)
−0.234073 + 0.972219i \(0.575206\pi\)
\(654\) 0.847074 + 20.9072i 0.0331232 + 0.817538i
\(655\) −20.6140 + 35.7044i −0.805454 + 1.39509i
\(656\) 2.01710 0.0787545
\(657\) −1.08321 13.3458i −0.0422602 0.520671i
\(658\) 5.79487 + 25.7064i 0.225908 + 1.00214i
\(659\) −10.1298 5.84845i −0.394601 0.227823i 0.289551 0.957163i \(-0.406494\pi\)
−0.684152 + 0.729340i \(0.739827\pi\)
\(660\) −6.82632 + 4.31877i −0.265714 + 0.168108i
\(661\) 11.2378i 0.437100i 0.975826 + 0.218550i \(0.0701327\pi\)
−0.975826 + 0.218550i \(0.929867\pi\)
\(662\) −4.34205 2.50688i −0.168758 0.0974327i
\(663\) −16.0571 + 18.4468i −0.623605 + 0.716416i
\(664\) 4.52632i 0.175655i
\(665\) 33.8760 31.2638i 1.31366 1.21236i
\(666\) 16.4784 + 7.81035i 0.638526 + 0.302645i
\(667\) −16.3073 −0.631422
\(668\) 12.3076 21.3175i 0.476197 0.824797i
\(669\) 1.61086 + 39.7588i 0.0622795 + 1.53716i
\(670\) 34.5175i 1.33353i
\(671\) 15.1366 0.584341
\(672\) −1.18789 4.42594i −0.0458237 0.170734i
\(673\) 10.0141 + 17.3450i 0.386016 + 0.668600i 0.991910 0.126946i \(-0.0405176\pi\)
−0.605893 + 0.795546i \(0.707184\pi\)
\(674\) −23.7654 13.7210i −0.915409 0.528512i
\(675\) 27.3365 64.2770i 1.05218 2.47402i
\(676\) 10.8675 7.13423i 0.417981 0.274393i
\(677\) 21.3263 + 36.9382i 0.819635 + 1.41965i 0.905952 + 0.423381i \(0.139157\pi\)
−0.0863170 + 0.996268i \(0.527510\pi\)
\(678\) 23.6396 0.957777i 0.907873 0.0367832i
\(679\) −31.4482 9.79287i −1.20687 0.375816i
\(680\) 14.5646 + 8.40889i 0.558528 + 0.322466i
\(681\) −16.5943 + 0.672332i −0.635895 + 0.0257638i
\(682\) −1.13994 + 0.658142i −0.0436504 + 0.0252016i
\(683\) −12.0857 + 6.97765i −0.462445 + 0.266993i −0.713072 0.701091i \(-0.752697\pi\)
0.250627 + 0.968084i \(0.419363\pi\)
\(684\) −10.9986 5.21306i −0.420542 0.199326i
\(685\) −3.63108 2.09641i −0.138736 0.0800996i
\(686\) −18.3350 + 2.61294i −0.700034 + 0.0997626i
\(687\) −0.484730 11.9640i −0.0184936 0.456454i
\(688\) 1.69618 + 2.93788i 0.0646664 + 0.112006i
\(689\) 11.2318 3.35730i 0.427899 0.127903i
\(690\) −30.3808 48.0204i −1.15658 1.82810i
\(691\) 32.4226 + 18.7192i 1.23341 + 0.712112i 0.967740 0.251952i \(-0.0810724\pi\)
0.265673 + 0.964063i \(0.414406\pi\)
\(692\) −5.66350 9.80947i −0.215294 0.372900i
\(693\) 5.84070 6.33922i 0.221870 0.240807i
\(694\) −29.3039 −1.11236
\(695\) 20.6444i 0.783086i
\(696\) 3.69424 0.149675i 0.140030 0.00567342i
\(697\) 3.94964 6.84098i 0.149603 0.259121i
\(698\) −23.7406 −0.898595
\(699\) 1.12082 + 27.6637i 0.0423933 + 1.04634i
\(700\) −34.6945 + 7.82102i −1.31133 + 0.295607i
\(701\) 20.0942i 0.758948i 0.925202 + 0.379474i \(0.123895\pi\)
−0.925202 + 0.379474i \(0.876105\pi\)
\(702\) −17.1678 + 7.50121i −0.647955 + 0.283115i
\(703\) −21.3577 12.3309i −0.805520 0.465067i
\(704\) 1.08598i 0.0409295i
\(705\) −39.6090 62.6066i −1.49176 2.35790i
\(706\) 6.58396 + 3.80125i 0.247791 + 0.143062i
\(707\) 13.4432 3.03044i 0.505585 0.113971i
\(708\) −1.52310 2.40743i −0.0572415 0.0904767i
\(709\) −16.6858 −0.626649 −0.313325 0.949646i \(-0.601443\pi\)
−0.313325 + 0.949646i \(0.601443\pi\)
\(710\) −6.66953 + 11.5520i −0.250303 + 0.433537i
\(711\) 6.00373 12.6668i 0.225157 0.475041i
\(712\) 14.7046 + 8.48968i 0.551077 + 0.318164i
\(713\) −4.62976 8.01898i −0.173386 0.300313i
\(714\) −17.3365 4.63763i −0.648803 0.173559i
\(715\) 3.88493 16.3603i 0.145288 0.611840i
\(716\) −3.60503 + 2.08136i −0.134726 + 0.0777843i
\(717\) −24.1360 12.6609i −0.901375 0.472829i
\(718\) −22.0784 −0.823957
\(719\) −16.3460 −0.609602 −0.304801 0.952416i \(-0.598590\pi\)
−0.304801 + 0.952416i \(0.598590\pi\)
\(720\) 7.32319 + 10.5996i 0.272919 + 0.395025i
\(721\) −12.8947 + 11.9004i −0.480224 + 0.443193i
\(722\) −2.19917 1.26969i −0.0818447 0.0472531i
\(723\) 1.28504 + 31.7170i 0.0477911 + 1.17957i
\(724\) −13.1786 + 7.60868i −0.489779 + 0.282774i
\(725\) 28.6944i 1.06568i
\(726\) −14.3746 + 9.09430i −0.533491 + 0.337521i
\(727\) 20.7212i 0.768508i −0.923227 0.384254i \(-0.874459\pi\)
0.923227 0.384254i \(-0.125541\pi\)
\(728\) 8.20633 + 4.86376i 0.304147 + 0.180263i
\(729\) 26.2070 6.49562i 0.970630 0.240579i
\(730\) 9.58360 16.5993i 0.354705 0.614367i
\(731\) 13.2851 0.491366
\(732\) −0.977314 24.1218i −0.0361225 0.891567i
\(733\) −34.6007 + 19.9767i −1.27801 + 0.737857i −0.976482 0.215601i \(-0.930829\pi\)
−0.301525 + 0.953458i \(0.597496\pi\)
\(734\) −3.60202 + 6.23889i −0.132953 + 0.230281i
\(735\) 46.0888 24.2251i 1.70001 0.893556i
\(736\) 7.63945 0.281594
\(737\) 8.72879i 0.321529i
\(738\) 4.97863 3.43969i 0.183266 0.126617i
\(739\) 39.9486 1.46953 0.734766 0.678321i \(-0.237292\pi\)
0.734766 + 0.678321i \(0.237292\pi\)
\(740\) 13.0521 + 22.6068i 0.479803 + 0.831043i
\(741\) 23.9621 8.23304i 0.880269 0.302448i
\(742\) 5.83408 + 6.32155i 0.214176 + 0.232071i
\(743\) −25.4018 + 14.6657i −0.931900 + 0.538033i −0.887412 0.460977i \(-0.847499\pi\)
−0.0444880 + 0.999010i \(0.514166\pi\)
\(744\) 1.12242 + 1.77412i 0.0411500 + 0.0650423i
\(745\) −15.5990 + 9.00609i −0.571503 + 0.329958i
\(746\) 23.0960 + 13.3345i 0.845603 + 0.488209i
\(747\) −7.71857 11.1719i −0.282408 0.408759i
\(748\) −3.68310 2.12644i −0.134668 0.0777503i
\(749\) −14.1498 4.40621i −0.517023 0.161000i
\(750\) 53.0674 33.5739i 1.93775 1.22595i
\(751\) −2.16303 + 3.74647i −0.0789299 + 0.136711i −0.902789 0.430085i \(-0.858484\pi\)
0.823859 + 0.566795i \(0.191817\pi\)
\(752\) 9.95993 0.363201
\(753\) 8.43087 + 13.3260i 0.307238 + 0.485625i
\(754\) −5.28407 + 5.59594i −0.192434 + 0.203792i
\(755\) −38.8825 −1.41508
\(756\) −10.4794 8.89849i −0.381130 0.323635i
\(757\) −22.0785 38.2410i −0.802456 1.38989i −0.917995 0.396591i \(-0.870193\pi\)
0.115540 0.993303i \(-0.463140\pi\)
\(758\) 18.9457i 0.688140i
\(759\) 7.68270 + 12.1434i 0.278864 + 0.440777i
\(760\) −8.71167 15.0891i −0.316005 0.547337i
\(761\) −25.2109 −0.913893 −0.456947 0.889494i \(-0.651057\pi\)
−0.456947 + 0.889494i \(0.651057\pi\)
\(762\) 26.7788 + 14.0472i 0.970094 + 0.508876i
\(763\) 9.50296 30.5172i 0.344030 1.10480i
\(764\) −2.54594 + 1.46990i −0.0921090 + 0.0531792i
\(765\) 50.2880 4.08162i 1.81817 0.147571i
\(766\) −25.9036 14.9555i −0.935935 0.540362i
\(767\) 5.76976 + 1.37009i 0.208334 + 0.0494712i
\(768\) −1.73063 + 0.0701179i −0.0624488 + 0.00253016i
\(769\) 34.7089 20.0392i 1.25164 0.722633i 0.280202 0.959941i \(-0.409599\pi\)
0.971434 + 0.237308i \(0.0762652\pi\)
\(770\) 12.0370 2.71343i 0.433782 0.0977852i
\(771\) 8.28592 + 13.0968i 0.298410 + 0.471671i
\(772\) −0.237608 0.411549i −0.00855171 0.0148120i
\(773\) 21.8101 + 37.7763i 0.784456 + 1.35872i 0.929323 + 0.369267i \(0.120391\pi\)
−0.144867 + 0.989451i \(0.546276\pi\)
\(774\) 9.19640 + 4.35886i 0.330558 + 0.156676i
\(775\) 14.1102 8.14653i 0.506853 0.292632i
\(776\) −6.22463 +