Properties

Label 273.2.r.b.68.10
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 68.10
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.23

$q$-expansion

\(f(q)\) \(=\) \(q-1.40538i q^{2} +(-0.386542 + 1.68837i) q^{3} +0.0248937 q^{4} +(1.48377 - 2.56997i) q^{5} +(2.37281 + 0.543240i) q^{6} +(0.0176221 + 2.64569i) q^{7} -2.84575i q^{8} +(-2.70117 - 1.30525i) q^{9} +O(q^{10})\) \(q-1.40538i q^{2} +(-0.386542 + 1.68837i) q^{3} +0.0248937 q^{4} +(1.48377 - 2.56997i) q^{5} +(2.37281 + 0.543240i) q^{6} +(0.0176221 + 2.64569i) q^{7} -2.84575i q^{8} +(-2.70117 - 1.30525i) q^{9} +(-3.61180 - 2.08527i) q^{10} +(2.35542 + 1.35990i) q^{11} +(-0.00962246 + 0.0420297i) q^{12} +(3.51855 - 0.787262i) q^{13} +(3.71822 - 0.0247658i) q^{14} +(3.76551 + 3.49856i) q^{15} -3.94959 q^{16} -0.466208 q^{17} +(-1.83438 + 3.79618i) q^{18} +(2.24142 - 1.29409i) q^{19} +(0.0369366 - 0.0639760i) q^{20} +(-4.47371 - 0.992919i) q^{21} +(1.91119 - 3.31027i) q^{22} -2.42344i q^{23} +(4.80468 + 1.10000i) q^{24} +(-1.90316 - 3.29638i) q^{25} +(-1.10641 - 4.94492i) q^{26} +(3.24786 - 4.05603i) q^{27} +(0.000438679 + 0.0658610i) q^{28} +(-7.22253 + 4.16993i) q^{29} +(4.91682 - 5.29200i) q^{30} +(5.80759 - 3.35302i) q^{31} -0.140812i q^{32} +(-3.20648 + 3.45115i) q^{33} +0.655201i q^{34} +(6.82550 + 3.88032i) q^{35} +(-0.0672421 - 0.0324925i) q^{36} -11.3536 q^{37} +(-1.81869 - 3.15006i) q^{38} +(-0.0308818 + 6.24492i) q^{39} +(-7.31350 - 4.22245i) q^{40} +(4.19212 + 7.26096i) q^{41} +(-1.39543 + 6.28729i) q^{42} +(-2.24397 + 3.88666i) q^{43} +(0.0586351 + 0.0338530i) q^{44} +(-7.36238 + 5.00523i) q^{45} -3.40586 q^{46} +(-4.26729 + 7.39117i) q^{47} +(1.52668 - 6.66836i) q^{48} +(-6.99938 + 0.0932452i) q^{49} +(-4.63268 + 2.67468i) q^{50} +(0.180209 - 0.787130i) q^{51} +(0.0875898 - 0.0195978i) q^{52} +(-0.995744 + 0.574893i) q^{53} +(-5.70029 - 4.56449i) q^{54} +(6.98981 - 4.03557i) q^{55} +(7.52899 - 0.0501481i) q^{56} +(1.31849 + 4.28456i) q^{57} +(5.86035 + 10.1504i) q^{58} -10.3812 q^{59} +(0.0937375 + 0.0870919i) q^{60} +(7.90326 - 4.56295i) q^{61} +(-4.71228 - 8.16190i) q^{62} +(3.40569 - 7.16947i) q^{63} -8.09708 q^{64} +(3.19749 - 10.2107i) q^{65} +(4.85020 + 4.50634i) q^{66} +(-2.22886 + 3.86049i) q^{67} -0.0116056 q^{68} +(4.09165 + 0.936760i) q^{69} +(5.45334 - 9.59245i) q^{70} +(7.31046 + 4.22070i) q^{71} +(-3.71442 + 7.68687i) q^{72} +(-6.75653 + 3.90088i) q^{73} +15.9562i q^{74} +(6.30115 - 1.93905i) q^{75} +(0.0557973 - 0.0322146i) q^{76} +(-3.55638 + 6.25568i) q^{77} +(8.77652 + 0.0434008i) q^{78} +(-1.45705 + 2.52368i) q^{79} +(-5.86030 + 10.1503i) q^{80} +(5.59264 + 7.05141i) q^{81} +(10.2044 - 5.89154i) q^{82} -10.6532 q^{83} +(-0.111367 - 0.0247174i) q^{84} +(-0.691746 + 1.19814i) q^{85} +(5.46226 + 3.15364i) q^{86} +(-4.24856 - 13.8061i) q^{87} +(3.86995 - 6.70295i) q^{88} +6.88136 q^{89} +(7.03428 + 10.3470i) q^{90} +(2.14486 + 9.29514i) q^{91} -0.0603282i q^{92} +(3.41624 + 11.1014i) q^{93} +(10.3874 + 5.99719i) q^{94} -7.68052i q^{95} +(0.237742 + 0.0544297i) q^{96} +(-8.95629 - 5.17091i) q^{97} +(0.131045 + 9.83682i) q^{98} +(-4.58738 - 6.74774i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.40538i 0.993757i −0.867820 0.496879i \(-0.834479\pi\)
0.867820 0.496879i \(-0.165521\pi\)
\(3\) −0.386542 + 1.68837i −0.223170 + 0.974779i
\(4\) 0.0248937 0.0124468
\(5\) 1.48377 2.56997i 0.663563 1.14933i −0.316109 0.948723i \(-0.602377\pi\)
0.979673 0.200603i \(-0.0642900\pi\)
\(6\) 2.37281 + 0.543240i 0.968694 + 0.221777i
\(7\) 0.0176221 + 2.64569i 0.00666052 + 0.999978i
\(8\) 2.84575i 1.00613i
\(9\) −2.70117 1.30525i −0.900390 0.435083i
\(10\) −3.61180 2.08527i −1.14215 0.659421i
\(11\) 2.35542 + 1.35990i 0.710186 + 0.410026i 0.811130 0.584866i \(-0.198853\pi\)
−0.100944 + 0.994892i \(0.532186\pi\)
\(12\) −0.00962246 + 0.0420297i −0.00277776 + 0.0121329i
\(13\) 3.51855 0.787262i 0.975871 0.218347i
\(14\) 3.71822 0.0247658i 0.993735 0.00661894i
\(15\) 3.76551 + 3.49856i 0.972251 + 0.903323i
\(16\) −3.94959 −0.987398
\(17\) −0.466208 −0.113072 −0.0565360 0.998401i \(-0.518006\pi\)
−0.0565360 + 0.998401i \(0.518006\pi\)
\(18\) −1.83438 + 3.79618i −0.432367 + 0.894769i
\(19\) 2.24142 1.29409i 0.514218 0.296884i −0.220348 0.975421i \(-0.570719\pi\)
0.734566 + 0.678538i \(0.237386\pi\)
\(20\) 0.0369366 0.0639760i 0.00825927 0.0143055i
\(21\) −4.47371 0.992919i −0.976244 0.216673i
\(22\) 1.91119 3.31027i 0.407466 0.705752i
\(23\) 2.42344i 0.505321i −0.967555 0.252661i \(-0.918694\pi\)
0.967555 0.252661i \(-0.0813056\pi\)
\(24\) 4.80468 + 1.10000i 0.980751 + 0.224537i
\(25\) −1.90316 3.29638i −0.380633 0.659275i
\(26\) −1.10641 4.94492i −0.216984 0.969779i
\(27\) 3.24786 4.05603i 0.625051 0.780584i
\(28\) 0.000438679 0.0658610i 8.29024e−5 0.0124466i
\(29\) −7.22253 + 4.16993i −1.34119 + 0.774336i −0.986982 0.160830i \(-0.948583\pi\)
−0.354208 + 0.935167i \(0.615249\pi\)
\(30\) 4.91682 5.29200i 0.897684 0.966182i
\(31\) 5.80759 3.35302i 1.04307 0.602219i 0.122372 0.992484i \(-0.460950\pi\)
0.920703 + 0.390265i \(0.127617\pi\)
\(32\) 0.140812i 0.0248922i
\(33\) −3.20648 + 3.45115i −0.558177 + 0.600769i
\(34\) 0.655201i 0.112366i
\(35\) 6.82550 + 3.88032i 1.15372 + 0.655894i
\(36\) −0.0672421 0.0324925i −0.0112070 0.00541542i
\(37\) −11.3536 −1.86653 −0.933264 0.359191i \(-0.883053\pi\)
−0.933264 + 0.359191i \(0.883053\pi\)
\(38\) −1.81869 3.15006i −0.295030 0.511007i
\(39\) −0.0308818 + 6.24492i −0.00494504 + 0.999988i
\(40\) −7.31350 4.22245i −1.15637 0.667629i
\(41\) 4.19212 + 7.26096i 0.654699 + 1.13397i 0.981969 + 0.189041i \(0.0605379\pi\)
−0.327270 + 0.944931i \(0.606129\pi\)
\(42\) −1.39543 + 6.28729i −0.215320 + 0.970150i
\(43\) −2.24397 + 3.88666i −0.342202 + 0.592711i −0.984841 0.173458i \(-0.944506\pi\)
0.642640 + 0.766169i \(0.277839\pi\)
\(44\) 0.0586351 + 0.0338530i 0.00883957 + 0.00510353i
\(45\) −7.36238 + 5.00523i −1.09752 + 0.746136i
\(46\) −3.40586 −0.502166
\(47\) −4.26729 + 7.39117i −0.622448 + 1.07811i 0.366580 + 0.930387i \(0.380529\pi\)
−0.989028 + 0.147726i \(0.952805\pi\)
\(48\) 1.52668 6.66836i 0.220358 0.962496i
\(49\) −6.99938 + 0.0932452i −0.999911 + 0.0133207i
\(50\) −4.63268 + 2.67468i −0.655160 + 0.378257i
\(51\) 0.180209 0.787130i 0.0252343 0.110220i
\(52\) 0.0875898 0.0195978i 0.0121465 0.00271773i
\(53\) −0.995744 + 0.574893i −0.136776 + 0.0789676i −0.566827 0.823837i \(-0.691829\pi\)
0.430051 + 0.902805i \(0.358496\pi\)
\(54\) −5.70029 4.56449i −0.775711 0.621149i
\(55\) 6.98981 4.03557i 0.942506 0.544156i
\(56\) 7.52899 0.0501481i 1.00610 0.00670132i
\(57\) 1.31849 + 4.28456i 0.174638 + 0.567504i
\(58\) 5.86035 + 10.1504i 0.769502 + 1.33282i
\(59\) −10.3812 −1.35152 −0.675761 0.737121i \(-0.736185\pi\)
−0.675761 + 0.737121i \(0.736185\pi\)
\(60\) 0.0937375 + 0.0870919i 0.0121015 + 0.0112435i
\(61\) 7.90326 4.56295i 1.01191 0.584226i 0.100159 0.994971i \(-0.468065\pi\)
0.911750 + 0.410746i \(0.134732\pi\)
\(62\) −4.71228 8.16190i −0.598460 1.03656i
\(63\) 3.40569 7.16947i 0.429077 0.903268i
\(64\) −8.09708 −1.01214
\(65\) 3.19749 10.2107i 0.396600 1.26648i
\(66\) 4.85020 + 4.50634i 0.597018 + 0.554692i
\(67\) −2.22886 + 3.86049i −0.272298 + 0.471634i −0.969450 0.245289i \(-0.921117\pi\)
0.697152 + 0.716924i \(0.254450\pi\)
\(68\) −0.0116056 −0.00140739
\(69\) 4.09165 + 0.936760i 0.492577 + 0.112773i
\(70\) 5.45334 9.59245i 0.651799 1.14652i
\(71\) 7.31046 + 4.22070i 0.867593 + 0.500905i 0.866547 0.499095i \(-0.166334\pi\)
0.00104506 + 0.999999i \(0.499667\pi\)
\(72\) −3.71442 + 7.68687i −0.437749 + 0.905906i
\(73\) −6.75653 + 3.90088i −0.790792 + 0.456564i −0.840241 0.542213i \(-0.817587\pi\)
0.0494495 + 0.998777i \(0.484253\pi\)
\(74\) 15.9562i 1.85488i
\(75\) 6.30115 1.93905i 0.727594 0.223902i
\(76\) 0.0557973 0.0322146i 0.00640038 0.00369526i
\(77\) −3.55638 + 6.25568i −0.405287 + 0.712901i
\(78\) 8.77652 + 0.0434008i 0.993745 + 0.00491417i
\(79\) −1.45705 + 2.52368i −0.163931 + 0.283936i −0.936275 0.351268i \(-0.885751\pi\)
0.772344 + 0.635204i \(0.219084\pi\)
\(80\) −5.86030 + 10.1503i −0.655201 + 1.13484i
\(81\) 5.59264 + 7.05141i 0.621405 + 0.783490i
\(82\) 10.2044 5.89154i 1.12689 0.650612i
\(83\) −10.6532 −1.16934 −0.584671 0.811271i \(-0.698776\pi\)
−0.584671 + 0.811271i \(0.698776\pi\)
\(84\) −0.111367 0.0247174i −0.0121512 0.00269689i
\(85\) −0.691746 + 1.19814i −0.0750304 + 0.129957i
\(86\) 5.46226 + 3.15364i 0.589011 + 0.340065i
\(87\) −4.24856 13.8061i −0.455494 1.48017i
\(88\) 3.86995 6.70295i 0.412538 0.714536i
\(89\) 6.88136 0.729423 0.364711 0.931121i \(-0.381168\pi\)
0.364711 + 0.931121i \(0.381168\pi\)
\(90\) 7.03428 + 10.3470i 0.741478 + 1.09067i
\(91\) 2.14486 + 9.29514i 0.224842 + 0.974395i
\(92\) 0.0603282i 0.00628965i
\(93\) 3.41624 + 11.1014i 0.354248 + 1.15116i
\(94\) 10.3874 + 5.99719i 1.07138 + 0.618563i
\(95\) 7.68052i 0.788004i
\(96\) 0.237742 + 0.0544297i 0.0242644 + 0.00555521i
\(97\) −8.95629 5.17091i −0.909373 0.525027i −0.0291437 0.999575i \(-0.509278\pi\)
−0.880229 + 0.474548i \(0.842611\pi\)
\(98\) 0.131045 + 9.83682i 0.0132376 + 0.993669i
\(99\) −4.58738 6.74774i −0.461049 0.678173i
\(100\) −0.0473768 0.0820590i −0.00473768 0.00820590i
\(101\) 3.32320 5.75595i 0.330671 0.572738i −0.651973 0.758242i \(-0.726058\pi\)
0.982644 + 0.185504i \(0.0593917\pi\)
\(102\) −1.10622 0.253263i −0.109532 0.0250768i
\(103\) 7.72448 + 4.45973i 0.761116 + 0.439431i 0.829696 0.558215i \(-0.188514\pi\)
−0.0685803 + 0.997646i \(0.521847\pi\)
\(104\) −2.24035 10.0129i −0.219685 0.981850i
\(105\) −9.18975 + 10.0240i −0.896827 + 0.978246i
\(106\) 0.807946 + 1.39940i 0.0784746 + 0.135922i
\(107\) 0.116612i 0.0112733i −0.999984 0.00563666i \(-0.998206\pi\)
0.999984 0.00563666i \(-0.00179421\pi\)
\(108\) 0.0808512 0.100970i 0.00777991 0.00971581i
\(109\) −2.10015 3.63757i −0.201158 0.348416i 0.747744 0.663987i \(-0.231137\pi\)
−0.948902 + 0.315572i \(0.897804\pi\)
\(110\) −5.67153 9.82338i −0.540759 0.936622i
\(111\) 4.38866 19.1691i 0.416553 1.81945i
\(112\) −0.0696000 10.4494i −0.00657659 0.987376i
\(113\) −11.1270 6.42418i −1.04674 0.604336i −0.125005 0.992156i \(-0.539895\pi\)
−0.921735 + 0.387820i \(0.873228\pi\)
\(114\) 6.02146 1.85298i 0.563961 0.173548i
\(115\) −6.22816 3.59583i −0.580779 0.335313i
\(116\) −0.179795 + 0.103805i −0.0166936 + 0.00963804i
\(117\) −10.5318 2.46607i −0.973664 0.227988i
\(118\) 14.5896i 1.34308i
\(119\) −0.00821555 1.23344i −0.000753118 0.113069i
\(120\) 9.95603 10.7157i 0.908857 0.978208i
\(121\) −1.80133 3.12000i −0.163758 0.283636i
\(122\) −6.41270 11.1071i −0.580578 1.00559i
\(123\) −13.8796 + 4.27117i −1.25148 + 0.385118i
\(124\) 0.144572 0.0834689i 0.0129830 0.00749573i
\(125\) 3.54228 0.316831
\(126\) −10.0759 4.78631i −0.897629 0.426398i
\(127\) −0.679843 1.17752i −0.0603263 0.104488i 0.834285 0.551333i \(-0.185881\pi\)
−0.894611 + 0.446845i \(0.852547\pi\)
\(128\) 11.0979i 0.980924i
\(129\) −5.69473 5.29100i −0.501393 0.465847i
\(130\) −14.3500 4.49371i −1.25857 0.394124i
\(131\) 5.82910 10.0963i 0.509291 0.882118i −0.490651 0.871356i \(-0.663241\pi\)
0.999942 0.0107620i \(-0.00342571\pi\)
\(132\) −0.0798212 + 0.0859120i −0.00694754 + 0.00747768i
\(133\) 3.46325 + 5.90731i 0.300302 + 0.512229i
\(134\) 5.42548 + 3.13240i 0.468690 + 0.270598i
\(135\) −5.60480 14.3651i −0.482385 1.23635i
\(136\) 1.32671i 0.113765i
\(137\) 1.27570i 0.108991i −0.998514 0.0544953i \(-0.982645\pi\)
0.998514 0.0544953i \(-0.0173550\pi\)
\(138\) 1.31651 5.75034i 0.112069 0.489502i
\(139\) −3.59002 2.07270i −0.304501 0.175804i 0.339962 0.940439i \(-0.389586\pi\)
−0.644463 + 0.764635i \(0.722919\pi\)
\(140\) 0.169912 + 0.0965954i 0.0143602 + 0.00816380i
\(141\) −10.8295 10.0618i −0.912010 0.847352i
\(142\) 5.93171 10.2740i 0.497778 0.862176i
\(143\) 9.35827 + 2.93056i 0.782578 + 0.245065i
\(144\) 10.6685 + 5.15521i 0.889044 + 0.429601i
\(145\) 24.7489i 2.05528i
\(146\) 5.48224 + 9.49552i 0.453714 + 0.785855i
\(147\) 2.54812 11.8536i 0.210166 0.977666i
\(148\) −0.282634 −0.0232324
\(149\) 10.8228 6.24852i 0.886634 0.511899i 0.0137943 0.999905i \(-0.495609\pi\)
0.872840 + 0.488006i \(0.162276\pi\)
\(150\) −2.72511 8.85554i −0.222505 0.723052i
\(151\) 2.63468 + 4.56339i 0.214407 + 0.371364i 0.953089 0.302690i \(-0.0978848\pi\)
−0.738682 + 0.674054i \(0.764552\pi\)
\(152\) −3.68265 6.37854i −0.298702 0.517368i
\(153\) 1.25931 + 0.608518i 0.101809 + 0.0491958i
\(154\) 8.79164 + 4.99808i 0.708450 + 0.402756i
\(155\) 19.9005i 1.59844i
\(156\) −0.000768761 0.155459i −6.15502e−5 0.0124467i
\(157\) −0.305705 + 0.176499i −0.0243979 + 0.0140861i −0.512149 0.858896i \(-0.671151\pi\)
0.487751 + 0.872983i \(0.337817\pi\)
\(158\) 3.54674 + 2.04771i 0.282164 + 0.162907i
\(159\) −0.585734 1.90340i −0.0464517 0.150950i
\(160\) −0.361882 0.208933i −0.0286093 0.0165176i
\(161\) 6.41166 0.0427060i 0.505310 0.00336570i
\(162\) 9.90994 7.85981i 0.778598 0.617525i
\(163\) 11.8505 + 20.5257i 0.928205 + 1.60770i 0.786324 + 0.617814i \(0.211981\pi\)
0.141880 + 0.989884i \(0.454685\pi\)
\(164\) 0.104357 + 0.180752i 0.00814894 + 0.0141144i
\(165\) 4.11167 + 13.3613i 0.320093 + 1.04018i
\(166\) 14.9719i 1.16204i
\(167\) 1.87878 + 3.25415i 0.145385 + 0.251814i 0.929516 0.368781i \(-0.120225\pi\)
−0.784132 + 0.620594i \(0.786891\pi\)
\(168\) −2.82560 + 12.7311i −0.218000 + 0.982225i
\(169\) 11.7604 5.54005i 0.904649 0.426157i
\(170\) 1.68385 + 0.972170i 0.129145 + 0.0745620i
\(171\) −7.74357 + 0.569929i −0.592166 + 0.0435835i
\(172\) −0.0558606 + 0.0967534i −0.00425933 + 0.00737738i
\(173\) −2.11578 3.66464i −0.160860 0.278618i 0.774317 0.632798i \(-0.218093\pi\)
−0.935177 + 0.354180i \(0.884760\pi\)
\(174\) −19.4029 + 5.97086i −1.47093 + 0.452650i
\(175\) 8.68766 5.09328i 0.656725 0.385015i
\(176\) −9.30295 5.37106i −0.701236 0.404859i
\(177\) 4.01279 17.5273i 0.301619 1.31744i
\(178\) 9.67096i 0.724869i
\(179\) 0.867145 + 0.500646i 0.0648134 + 0.0374201i 0.532057 0.846709i \(-0.321419\pi\)
−0.467243 + 0.884129i \(0.654753\pi\)
\(180\) −0.183277 + 0.124599i −0.0136606 + 0.00928704i
\(181\) 4.63844i 0.344773i −0.985029 0.172386i \(-0.944852\pi\)
0.985029 0.172386i \(-0.0551477\pi\)
\(182\) 13.0632 3.01435i 0.968312 0.223438i
\(183\) 4.64899 + 15.1074i 0.343663 + 1.11677i
\(184\) −6.89650 −0.508417
\(185\) −16.8462 + 29.1785i −1.23856 + 2.14525i
\(186\) 15.6018 4.80114i 1.14398 0.352036i
\(187\) −1.09811 0.633997i −0.0803021 0.0463624i
\(188\) −0.106229 + 0.183993i −0.00774752 + 0.0134191i
\(189\) 10.7883 + 8.52136i 0.784730 + 0.619838i
\(190\) −10.7941 −0.783085
\(191\) 2.34247 1.35243i 0.169495 0.0978581i −0.412853 0.910798i \(-0.635468\pi\)
0.582348 + 0.812940i \(0.302134\pi\)
\(192\) 3.12986 13.6708i 0.225878 0.986609i
\(193\) 12.1365 21.0211i 0.873608 1.51313i 0.0153690 0.999882i \(-0.495108\pi\)
0.858239 0.513251i \(-0.171559\pi\)
\(194\) −7.26712 + 12.5870i −0.521749 + 0.903696i
\(195\) 16.0034 + 9.34541i 1.14603 + 0.669239i
\(196\) −0.174240 + 0.00232122i −0.0124457 + 0.000165801i
\(197\) 6.13256 3.54064i 0.436927 0.252260i −0.265366 0.964148i \(-0.585493\pi\)
0.702293 + 0.711888i \(0.252160\pi\)
\(198\) −9.48317 + 6.44703i −0.673940 + 0.458170i
\(199\) 19.2472i 1.36440i 0.731167 + 0.682199i \(0.238976\pi\)
−0.731167 + 0.682199i \(0.761024\pi\)
\(200\) −9.38068 + 5.41594i −0.663314 + 0.382965i
\(201\) −5.65638 5.25537i −0.398970 0.370685i
\(202\) −8.08932 4.67037i −0.569163 0.328606i
\(203\) −11.1596 19.0351i −0.783252 1.33600i
\(204\) 0.00448606 0.0195946i 0.000314087 0.00137189i
\(205\) 24.8806 1.73774
\(206\) 6.26764 10.8559i 0.436687 0.756364i
\(207\) −3.16319 + 6.54611i −0.219857 + 0.454986i
\(208\) −13.8969 + 3.10936i −0.963573 + 0.215596i
\(209\) 7.03932 0.486920
\(210\) 14.0876 + 12.9151i 0.972139 + 0.891229i
\(211\) −11.6667 20.2073i −0.803169 1.39113i −0.917520 0.397690i \(-0.869812\pi\)
0.114351 0.993440i \(-0.463521\pi\)
\(212\) −0.0247877 + 0.0143112i −0.00170243 + 0.000982898i
\(213\) −9.95189 + 10.7113i −0.681893 + 0.733924i
\(214\) −0.163885 −0.0112029
\(215\) 6.65907 + 11.5339i 0.454145 + 0.786602i
\(216\) −11.5425 9.24261i −0.785366 0.628880i
\(217\) 8.97339 + 15.3060i 0.609153 + 1.03904i
\(218\) −5.11218 + 2.95152i −0.346240 + 0.199902i
\(219\) −3.97444 12.9154i −0.268568 0.872739i
\(220\) 0.174002 0.100460i 0.0117312 0.00677303i
\(221\) −1.64038 + 0.367028i −0.110344 + 0.0246889i
\(222\) −26.9400 6.16776i −1.80809 0.413953i
\(223\) −4.43230 + 2.55899i −0.296809 + 0.171363i −0.641008 0.767534i \(-0.721484\pi\)
0.344200 + 0.938897i \(0.388150\pi\)
\(224\) 0.372545 0.00248140i 0.0248917 0.000165795i
\(225\) 0.838173 + 11.3882i 0.0558782 + 0.759212i
\(226\) −9.02844 + 15.6377i −0.600563 + 1.04021i
\(227\) 23.1070 1.53366 0.766832 0.641848i \(-0.221832\pi\)
0.766832 + 0.641848i \(0.221832\pi\)
\(228\) 0.0328220 + 0.106659i 0.00217369 + 0.00706364i
\(229\) 21.6165 + 12.4803i 1.42846 + 0.824720i 0.996999 0.0774125i \(-0.0246658\pi\)
0.431458 + 0.902133i \(0.357999\pi\)
\(230\) −5.05352 + 8.75295i −0.333219 + 0.577153i
\(231\) −9.18720 8.42255i −0.604473 0.554163i
\(232\) 11.8666 + 20.5535i 0.779080 + 1.34941i
\(233\) 10.3307 + 5.96443i 0.676787 + 0.390743i 0.798643 0.601805i \(-0.205551\pi\)
−0.121857 + 0.992548i \(0.538885\pi\)
\(234\) −3.46577 + 14.8012i −0.226564 + 0.967585i
\(235\) 12.6634 + 21.9336i 0.826068 + 1.43079i
\(236\) −0.258427 −0.0168222
\(237\) −3.69769 3.43554i −0.240191 0.223162i
\(238\) −1.73346 + 0.0115460i −0.112364 + 0.000748417i
\(239\) 10.2941i 0.665868i −0.942950 0.332934i \(-0.891961\pi\)
0.942950 0.332934i \(-0.108039\pi\)
\(240\) −14.8722 13.8179i −0.959999 0.891940i
\(241\) 15.8905i 1.02360i −0.859105 0.511800i \(-0.828979\pi\)
0.859105 0.511800i \(-0.171021\pi\)
\(242\) −4.38480 + 2.53157i −0.281866 + 0.162735i
\(243\) −14.0672 + 6.71677i −0.902409 + 0.430881i
\(244\) 0.196741 0.113589i 0.0125951 0.00727177i
\(245\) −10.1459 + 18.1265i −0.648195 + 1.15806i
\(246\) 6.00264 + 19.5062i 0.382714 + 1.24367i
\(247\) 6.86778 6.31790i 0.436986 0.401998i
\(248\) −9.54186 16.5270i −0.605909 1.04946i
\(249\) 4.11791 17.9865i 0.260962 1.13985i
\(250\) 4.97826i 0.314853i
\(251\) 8.02838 13.9056i 0.506747 0.877712i −0.493222 0.869903i \(-0.664181\pi\)
0.999970 0.00780844i \(-0.00248553\pi\)
\(252\) 0.0847802 0.178474i 0.00534065 0.0112428i
\(253\) 3.29563 5.70821i 0.207195 0.358872i
\(254\) −1.65487 + 0.955440i −0.103836 + 0.0599497i
\(255\) −1.75551 1.63105i −0.109934 0.102141i
\(256\) −0.597356 −0.0373347
\(257\) −10.9867 −0.685329 −0.342664 0.939458i \(-0.611329\pi\)
−0.342664 + 0.939458i \(0.611329\pi\)
\(258\) −7.43589 + 8.00329i −0.462938 + 0.498263i
\(259\) −0.200075 30.0383i −0.0124320 1.86649i
\(260\) 0.0795974 0.254182i 0.00493642 0.0157637i
\(261\) 24.9521 1.83648i 1.54450 0.113675i
\(262\) −14.1892 8.19213i −0.876611 0.506112i
\(263\) −6.00280 3.46572i −0.370148 0.213705i 0.303375 0.952871i \(-0.401887\pi\)
−0.673523 + 0.739166i \(0.735220\pi\)
\(264\) 9.82114 + 9.12487i 0.604449 + 0.561597i
\(265\) 3.41204i 0.209600i
\(266\) 8.30204 4.86720i 0.509031 0.298427i
\(267\) −2.65994 + 11.6183i −0.162785 + 0.711026i
\(268\) −0.0554844 + 0.0961019i −0.00338925 + 0.00587036i
\(269\) 7.15744 0.436397 0.218198 0.975904i \(-0.429982\pi\)
0.218198 + 0.975904i \(0.429982\pi\)
\(270\) −20.1885 + 7.87690i −1.22864 + 0.479373i
\(271\) 14.0115i 0.851140i 0.904925 + 0.425570i \(0.139926\pi\)
−0.904925 + 0.425570i \(0.860074\pi\)
\(272\) 1.84133 0.111647
\(273\) −16.5227 + 0.0283448i −0.999999 + 0.00171551i
\(274\) −1.79285 −0.108310
\(275\) 10.3525i 0.624277i
\(276\) 0.101856 + 0.0233194i 0.00613102 + 0.00140366i
\(277\) −23.6168 −1.41899 −0.709497 0.704708i \(-0.751078\pi\)
−0.709497 + 0.704708i \(0.751078\pi\)
\(278\) −2.91294 + 5.04536i −0.174706 + 0.302600i
\(279\) −20.0638 + 1.47670i −1.20119 + 0.0884078i
\(280\) 11.0424 19.4237i 0.659912 1.16079i
\(281\) 16.8039i 1.00244i 0.865320 + 0.501219i \(0.167115\pi\)
−0.865320 + 0.501219i \(0.832885\pi\)
\(282\) −14.1406 + 15.2196i −0.842063 + 0.906316i
\(283\) 7.74414 + 4.47108i 0.460342 + 0.265778i 0.712188 0.701989i \(-0.247704\pi\)
−0.251846 + 0.967767i \(0.581038\pi\)
\(284\) 0.181984 + 0.105069i 0.0107988 + 0.00623468i
\(285\) 12.9675 + 2.96884i 0.768131 + 0.175859i
\(286\) 4.11856 13.1520i 0.243536 0.777692i
\(287\) −19.1364 + 11.2190i −1.12959 + 0.662237i
\(288\) −0.183795 + 0.380356i −0.0108302 + 0.0224127i
\(289\) −16.7827 −0.987215
\(290\) 34.7817 2.04245
\(291\) 12.1924 13.1227i 0.714730 0.769268i
\(292\) −0.168195 + 0.0971074i −0.00984286 + 0.00568278i
\(293\) −8.37506 + 14.5060i −0.489277 + 0.847452i −0.999924 0.0123385i \(-0.996072\pi\)
0.510647 + 0.859790i \(0.329406\pi\)
\(294\) −16.6588 3.58109i −0.971562 0.208854i
\(295\) −15.4034 + 26.6795i −0.896821 + 1.55334i
\(296\) 32.3097i 1.87796i
\(297\) 13.1659 5.13689i 0.763962 0.298073i
\(298\) −8.78157 15.2101i −0.508703 0.881099i
\(299\) −1.90788 8.52699i −0.110335 0.493128i
\(300\) 0.156859 0.0482701i 0.00905625 0.00278688i
\(301\) −10.3225 5.86836i −0.594977 0.338246i
\(302\) 6.41332 3.70273i 0.369045 0.213068i
\(303\) 8.43360 + 7.83570i 0.484498 + 0.450149i
\(304\) −8.85271 + 5.11111i −0.507737 + 0.293142i
\(305\) 27.0815i 1.55068i
\(306\) 0.855202 1.76981i 0.0488886 0.101173i
\(307\) 2.98509i 0.170368i −0.996365 0.0851842i \(-0.972852\pi\)
0.996365 0.0851842i \(-0.0271479\pi\)
\(308\) −0.0885313 + 0.155727i −0.00504454 + 0.00887337i
\(309\) −10.5155 + 11.3179i −0.598206 + 0.643853i
\(310\) −27.9678 −1.58846
\(311\) −1.42109 2.46141i −0.0805828 0.139574i 0.822918 0.568161i \(-0.192345\pi\)
−0.903500 + 0.428587i \(0.859011\pi\)
\(312\) 17.7715 + 0.0878820i 1.00611 + 0.00497534i
\(313\) −7.32752 4.23055i −0.414176 0.239125i 0.278406 0.960463i \(-0.410194\pi\)
−0.692582 + 0.721339i \(0.743527\pi\)
\(314\) 0.248049 + 0.429633i 0.0139982 + 0.0242456i
\(315\) −13.3720 19.3904i −0.753429 1.09252i
\(316\) −0.0362713 + 0.0628237i −0.00204042 + 0.00353411i
\(317\) −24.6025 14.2043i −1.38182 0.797792i −0.389442 0.921051i \(-0.627332\pi\)
−0.992375 + 0.123259i \(0.960666\pi\)
\(318\) −2.67501 + 0.823181i −0.150007 + 0.0461617i
\(319\) −22.6828 −1.26999
\(320\) −12.0142 + 20.8093i −0.671616 + 1.16327i
\(321\) 0.196884 + 0.0450755i 0.0109890 + 0.00251587i
\(322\) −0.0600183 9.01086i −0.00334469 0.502155i
\(323\) −1.04497 + 0.603313i −0.0581436 + 0.0335692i
\(324\) 0.139221 + 0.175536i 0.00773453 + 0.00975197i
\(325\) −9.29150 10.1002i −0.515399 0.560258i
\(326\) 28.8465 16.6545i 1.59766 0.922410i
\(327\) 6.95334 2.13975i 0.384521 0.118329i
\(328\) 20.6629 11.9297i 1.14092 0.658710i
\(329\) −19.6299 11.1597i −1.08223 0.615254i
\(330\) 18.7778 5.77848i 1.03368 0.318095i
\(331\) 12.3549 + 21.3993i 0.679086 + 1.17621i 0.975256 + 0.221076i \(0.0709570\pi\)
−0.296170 + 0.955135i \(0.595710\pi\)
\(332\) −0.265198 −0.0145546
\(333\) 30.6681 + 14.8194i 1.68060 + 0.812095i
\(334\) 4.57333 2.64041i 0.250242 0.144477i
\(335\) 6.61423 + 11.4562i 0.361374 + 0.625918i
\(336\) 17.6693 + 3.92163i 0.963942 + 0.213942i
\(337\) −4.13151 −0.225057 −0.112529 0.993648i \(-0.535895\pi\)
−0.112529 + 0.993648i \(0.535895\pi\)
\(338\) −7.78590 16.5279i −0.423497 0.899001i
\(339\) 15.1474 16.3033i 0.822695 0.885471i
\(340\) −0.0172201 + 0.0298261i −0.000933892 + 0.00161755i
\(341\) 18.2391 0.987702
\(342\) 0.800969 + 10.8827i 0.0433114 + 0.588469i
\(343\) −0.370042 18.5166i −0.0199804 0.999800i
\(344\) 11.0605 + 6.38578i 0.596342 + 0.344298i
\(345\) 8.47852 9.12548i 0.456468 0.491299i
\(346\) −5.15024 + 2.97349i −0.276878 + 0.159856i
\(347\) 9.25407i 0.496784i 0.968660 + 0.248392i \(0.0799022\pi\)
−0.968660 + 0.248392i \(0.920098\pi\)
\(348\) −0.105762 0.343686i −0.00566946 0.0184235i
\(349\) −7.84315 + 4.52825i −0.419834 + 0.242391i −0.695006 0.719004i \(-0.744598\pi\)
0.275172 + 0.961395i \(0.411265\pi\)
\(350\) −7.15801 12.2095i −0.382612 0.652626i
\(351\) 8.23460 16.8283i 0.439531 0.898228i
\(352\) 0.191490 0.331671i 0.0102065 0.0176781i
\(353\) −5.88983 + 10.2015i −0.313484 + 0.542970i −0.979114 0.203312i \(-0.934830\pi\)
0.665630 + 0.746282i \(0.268163\pi\)
\(354\) −24.6327 5.63951i −1.30921 0.299736i
\(355\) 21.6941 12.5251i 1.15141 0.664764i
\(356\) 0.171302 0.00907901
\(357\) 2.08568 + 0.462907i 0.110386 + 0.0244996i
\(358\) 0.703600 1.21867i 0.0371864 0.0644088i
\(359\) −1.14560 0.661413i −0.0604625 0.0349080i 0.469464 0.882952i \(-0.344447\pi\)
−0.529927 + 0.848044i \(0.677780\pi\)
\(360\) 14.2437 + 20.9515i 0.750707 + 1.10424i
\(361\) −6.15068 + 10.6533i −0.323720 + 0.560700i
\(362\) −6.51880 −0.342620
\(363\) 5.96400 1.83530i 0.313029 0.0963283i
\(364\) 0.0533934 + 0.231390i 0.00279857 + 0.0121281i
\(365\) 23.1521i 1.21184i
\(366\) 21.2317 6.53362i 1.10980 0.341518i
\(367\) 5.04888 + 2.91497i 0.263549 + 0.152160i 0.625952 0.779861i \(-0.284710\pi\)
−0.362403 + 0.932021i \(0.618044\pi\)
\(368\) 9.57158i 0.498953i
\(369\) −1.84625 25.0849i −0.0961120 1.30587i
\(370\) 41.0071 + 23.6754i 2.13186 + 1.23083i
\(371\) −1.53854 2.62430i −0.0798769 0.136247i
\(372\) 0.0850429 + 0.276356i 0.00440927 + 0.0143284i
\(373\) −1.61870 2.80367i −0.0838130 0.145168i 0.821072 0.570825i \(-0.193377\pi\)
−0.904885 + 0.425657i \(0.860043\pi\)
\(374\) −0.891009 + 1.54327i −0.0460730 + 0.0798008i
\(375\) −1.36924 + 5.98067i −0.0707072 + 0.308840i
\(376\) 21.0334 + 12.1437i 1.08472 + 0.626262i
\(377\) −22.1300 + 20.3581i −1.13975 + 1.04850i
\(378\) 11.9758 15.1616i 0.615968 0.779831i
\(379\) −11.8507 20.5261i −0.608731 1.05435i −0.991450 0.130488i \(-0.958346\pi\)
0.382719 0.923865i \(-0.374988\pi\)
\(380\) 0.191196i 0.00980817i
\(381\) 2.25088 0.692662i 0.115316 0.0354862i
\(382\) −1.90068 3.29207i −0.0972472 0.168437i
\(383\) 17.7996 + 30.8297i 0.909515 + 1.57533i 0.814739 + 0.579828i \(0.196880\pi\)
0.0947763 + 0.995499i \(0.469786\pi\)
\(384\) −18.7373 4.28980i −0.956185 0.218913i
\(385\) 10.8001 + 18.4218i 0.550422 + 0.938861i
\(386\) −29.5428 17.0565i −1.50369 0.868154i
\(387\) 11.1344 7.56960i 0.565994 0.384785i
\(388\) −0.222955 0.128723i −0.0113188 0.00653493i
\(389\) −0.288306 + 0.166454i −0.0146177 + 0.00843954i −0.507291 0.861775i \(-0.669353\pi\)
0.492673 + 0.870214i \(0.336020\pi\)
\(390\) 13.1339 22.4910i 0.665061 1.13888i
\(391\) 1.12982i 0.0571377i
\(392\) 0.265353 + 19.9185i 0.0134024 + 1.00604i
\(393\) 14.7931 + 13.7443i 0.746212 + 0.693309i
\(394\) −4.97596 8.61861i −0.250685 0.434199i
\(395\) 4.32385 + 7.48913i 0.217557 + 0.376819i
\(396\) −0.114197 0.167976i −0.00573860 0.00844112i
\(397\) 25.6636 14.8169i 1.28802 0.743639i 0.309719 0.950828i \(-0.399765\pi\)
0.978301 + 0.207189i \(0.0664315\pi\)
\(398\) 27.0497 1.35588
\(399\) −11.3124 + 3.56382i −0.566329 + 0.178414i
\(400\) 7.51672 + 13.0193i 0.375836 + 0.650967i
\(401\) 9.87874i 0.493321i −0.969102 0.246660i \(-0.920667\pi\)
0.969102 0.246660i \(-0.0793332\pi\)
\(402\) −7.38582 + 7.94939i −0.368371 + 0.396480i
\(403\) 17.7946 16.3699i 0.886413 0.815441i
\(404\) 0.0827267 0.143287i 0.00411581 0.00712878i
\(405\) 26.4201 3.91024i 1.31283 0.194301i
\(406\) −26.7516 + 15.6836i −1.32766 + 0.778362i
\(407\) −26.7426 15.4398i −1.32558 0.765325i
\(408\) −2.23998 0.512830i −0.110895 0.0253889i
\(409\) 3.34546i 0.165423i −0.996574 0.0827113i \(-0.973642\pi\)
0.996574 0.0827113i \(-0.0263579\pi\)
\(410\) 34.9668i 1.72689i
\(411\) 2.15385 + 0.493113i 0.106242 + 0.0243235i
\(412\) 0.192291 + 0.111019i 0.00947349 + 0.00546952i
\(413\) −0.182939 27.4656i −0.00900184 1.35149i
\(414\) 9.19980 + 4.44550i 0.452146 + 0.218484i
\(415\) −15.8069 + 27.3784i −0.775932 + 1.34395i
\(416\) −0.110856 0.495454i −0.00543515 0.0242916i
\(417\) 4.88717 5.26009i 0.239326 0.257588i
\(418\) 9.89295i 0.483880i
\(419\) 7.87912 + 13.6470i 0.384920 + 0.666702i 0.991758 0.128124i \(-0.0408956\pi\)
−0.606838 + 0.794826i \(0.707562\pi\)
\(420\) −0.228767 + 0.249535i −0.0111627 + 0.0121761i
\(421\) −1.57179 −0.0766041 −0.0383021 0.999266i \(-0.512195\pi\)
−0.0383021 + 0.999266i \(0.512195\pi\)
\(422\) −28.3991 + 16.3962i −1.38245 + 0.798155i
\(423\) 21.1740 14.3949i 1.02952 0.699905i
\(424\) 1.63600 + 2.83364i 0.0794514 + 0.137614i
\(425\) 0.887270 + 1.53680i 0.0430389 + 0.0745456i
\(426\) 15.0535 + 13.9862i 0.729343 + 0.677636i
\(427\) 12.2114 + 20.8292i 0.590953 + 1.00799i
\(428\) 0.00290290i 0.000140317i
\(429\) −8.56522 + 14.6674i −0.413533 + 0.708149i
\(430\) 16.2095 9.35856i 0.781692 0.451310i
\(431\) −30.6569 17.6998i −1.47669 0.852568i −0.477037 0.878883i \(-0.658289\pi\)
−0.999654 + 0.0263153i \(0.991623\pi\)
\(432\) −12.8277 + 16.0197i −0.617174 + 0.770747i
\(433\) −31.5305 18.2041i −1.51526 0.874834i −0.999840 0.0178948i \(-0.994304\pi\)
−0.515417 0.856939i \(-0.672363\pi\)
\(434\) 21.5108 12.6111i 1.03255 0.605350i
\(435\) −41.7853 9.56650i −2.00345 0.458678i
\(436\) −0.0522805 0.0905524i −0.00250378 0.00433667i
\(437\) −3.13613 5.43194i −0.150022 0.259845i
\(438\) −18.1510 + 5.58562i −0.867291 + 0.266891i
\(439\) 32.6632i 1.55893i −0.626447 0.779464i \(-0.715491\pi\)
0.626447 0.779464i \(-0.284509\pi\)
\(440\) −11.4842 19.8913i −0.547490 0.948280i
\(441\) 19.0282 + 8.88407i 0.906106 + 0.423051i
\(442\) 0.515815 + 2.30536i 0.0245348 + 0.109655i
\(443\) −4.64059 2.67925i −0.220481 0.127295i 0.385692 0.922628i \(-0.373963\pi\)
−0.606173 + 0.795333i \(0.707296\pi\)
\(444\) 0.109250 0.477190i 0.00518478 0.0226464i
\(445\) 10.2104 17.6849i 0.484018 0.838344i
\(446\) 3.59637 + 6.22909i 0.170293 + 0.294956i
\(447\) 6.36635 + 20.6881i 0.301118 + 0.978514i
\(448\) −0.142687 21.4224i −0.00674135 1.01211i
\(449\) 25.3524 + 14.6372i 1.19645 + 0.690774i 0.959763 0.280811i \(-0.0906035\pi\)
0.236692 + 0.971585i \(0.423937\pi\)
\(450\) 16.0048 1.17796i 0.754472 0.0555294i
\(451\) 22.8035i 1.07377i
\(452\) −0.276992 0.159921i −0.0130286 0.00752207i
\(453\) −8.72310 + 2.68436i −0.409847 + 0.126122i
\(454\) 32.4742i 1.52409i
\(455\) 27.0707 + 8.27966i 1.26909 + 0.388156i
\(456\) 12.1928 3.75209i 0.570981 0.175708i
\(457\) −31.3314 −1.46562 −0.732812 0.680432i \(-0.761792\pi\)
−0.732812 + 0.680432i \(0.761792\pi\)
\(458\) 17.5396 30.3795i 0.819572 1.41954i
\(459\) −1.51418 + 1.89095i −0.0706757 + 0.0882622i
\(460\) −0.155042 0.0895134i −0.00722886 0.00417358i
\(461\) −2.74375 + 4.75231i −0.127789 + 0.221337i −0.922820 0.385232i \(-0.874121\pi\)
0.795031 + 0.606569i \(0.207455\pi\)
\(462\) −11.8369 + 12.9115i −0.550704 + 0.600700i
\(463\) 10.4977 0.487870 0.243935 0.969792i \(-0.421562\pi\)
0.243935 + 0.969792i \(0.421562\pi\)
\(464\) 28.5260 16.4695i 1.32429 0.764578i
\(465\) 33.5993 + 7.69236i 1.55813 + 0.356725i
\(466\) 8.38232 14.5186i 0.388304 0.672561i
\(467\) 6.11729 10.5955i 0.283075 0.490299i −0.689066 0.724699i \(-0.741979\pi\)
0.972140 + 0.234399i \(0.0753123\pi\)
\(468\) −0.262175 0.0613895i −0.0121190 0.00283773i
\(469\) −10.2530 5.82884i −0.473437 0.269151i
\(470\) 30.8252 17.7969i 1.42186 0.820911i
\(471\) −0.179827 0.584366i −0.00828599 0.0269262i
\(472\) 29.5425i 1.35980i
\(473\) −10.5710 + 6.10315i −0.486054 + 0.280623i
\(474\) −4.82826 + 5.19668i −0.221769 + 0.238691i
\(475\) −8.53159 4.92571i −0.391456 0.226007i
\(476\) −0.000204515 0.0307049i −9.37394e−6 0.00140736i
\(477\) 3.44005 0.253189i 0.157509 0.0115927i
\(478\) −14.4671 −0.661711
\(479\) −7.88493 + 13.6571i −0.360272 + 0.624009i −0.988005 0.154419i \(-0.950649\pi\)
0.627734 + 0.778428i \(0.283983\pi\)
\(480\) 0.492638 0.530228i 0.0224857 0.0242015i
\(481\) −39.9484 + 8.93829i −1.82149 + 0.407551i
\(482\) −22.3323 −1.01721
\(483\) −2.40628 + 10.8418i −0.109489 + 0.493317i
\(484\) −0.0448418 0.0776683i −0.00203826 0.00353038i
\(485\) −26.5782 + 15.3449i −1.20685 + 0.696777i
\(486\) 9.43965 + 19.7698i 0.428191 + 0.896775i
\(487\) 24.9737 1.13167 0.565833 0.824520i \(-0.308555\pi\)
0.565833 + 0.824520i \(0.308555\pi\)
\(488\) −12.9850 22.4907i −0.587805 1.01811i
\(489\) −39.2357 + 12.0740i −1.77430 + 0.546005i
\(490\) 25.4748 + 14.2588i 1.15083 + 0.644148i
\(491\) 36.6633 21.1676i 1.65459 0.955280i 0.679444 0.733727i \(-0.262221\pi\)
0.975148 0.221552i \(-0.0711124\pi\)
\(492\) −0.345515 + 0.106325i −0.0155770 + 0.00479351i
\(493\) 3.36720 1.94405i 0.151651 0.0875557i
\(494\) −8.87907 9.65187i −0.399488 0.434258i
\(495\) −24.1481 + 1.77731i −1.08538 + 0.0798840i
\(496\) −22.9376 + 13.2430i −1.02993 + 0.594630i
\(497\) −11.0378 + 19.4156i −0.495115 + 0.870910i
\(498\) −25.2780 5.78725i −1.13273 0.259333i
\(499\) 4.70714 8.15301i 0.210721 0.364979i −0.741220 0.671263i \(-0.765752\pi\)
0.951940 + 0.306284i \(0.0990856\pi\)
\(500\) 0.0881803 0.00394354
\(501\) −6.22043 + 1.91421i −0.277908 + 0.0855207i
\(502\) −19.5427 11.2830i −0.872232 0.503583i
\(503\) 4.94844 8.57095i 0.220640 0.382160i −0.734362 0.678758i \(-0.762519\pi\)
0.955003 + 0.296598i \(0.0958520\pi\)
\(504\) −20.4025 9.69176i −0.908802 0.431705i
\(505\) −9.86174 17.0810i −0.438842 0.760096i
\(506\) −8.02223 4.63163i −0.356631 0.205901i
\(507\) 4.80773 + 21.9974i 0.213519 + 0.976939i
\(508\) −0.0169238 0.0293129i −0.000750872 0.00130055i
\(509\) 31.9471 1.41603 0.708015 0.706197i \(-0.249591\pi\)
0.708015 + 0.706197i \(0.249591\pi\)
\(510\) −2.29226 + 2.46717i −0.101503 + 0.109248i
\(511\) −10.4396 17.8070i −0.461821 0.787733i
\(512\) 23.0353i 1.01803i
\(513\) 2.03097 13.2943i 0.0896694 0.586957i
\(514\) 15.4405i 0.681050i
\(515\) 22.9228 13.2345i 1.01010 0.583180i
\(516\) −0.141763 0.131713i −0.00624076 0.00579832i
\(517\) −20.1025 + 11.6062i −0.884108 + 0.510440i
\(518\) −42.2153 + 0.281182i −1.85483 + 0.0123544i
\(519\) 7.00511 2.15568i 0.307490 0.0946239i
\(520\) −29.0571 9.09929i −1.27424 0.399030i
\(521\) 1.58017 + 2.73693i 0.0692283 + 0.119907i 0.898562 0.438847i \(-0.144613\pi\)
−0.829333 + 0.558754i \(0.811280\pi\)
\(522\) −2.58096 35.0673i −0.112966 1.53485i
\(523\) 10.6171i 0.464254i −0.972686 0.232127i \(-0.925432\pi\)
0.972686 0.232127i \(-0.0745685\pi\)
\(524\) 0.145108 0.251334i 0.00633907 0.0109796i
\(525\) 5.24117 + 16.6367i 0.228744 + 0.726087i
\(526\) −4.87066 + 8.43624i −0.212371 + 0.367837i
\(527\) −2.70754 + 1.56320i −0.117942 + 0.0680941i
\(528\) 12.6643 13.6307i 0.551143 0.593198i
\(529\) 17.1270 0.744651
\(530\) 4.79523 0.208292
\(531\) 28.0415 + 13.5501i 1.21690 + 0.588025i
\(532\) 0.0862131 + 0.147055i 0.00373781 + 0.00637563i
\(533\) 20.4665 + 22.2478i 0.886501 + 0.963659i
\(534\) 16.3281 + 3.73823i 0.706588 + 0.161769i
\(535\) −0.299689 0.173026i −0.0129567 0.00748056i
\(536\) 10.9860 + 6.34278i 0.474523 + 0.273966i
\(537\) −1.18046 + 1.27054i −0.0509407 + 0.0548278i
\(538\) 10.0590i 0.433672i
\(539\) −16.6133 9.29884i −0.715585 0.400529i
\(540\) −0.139524 0.357601i −0.00600416 0.0153887i
\(541\) 10.0471 17.4021i 0.431958 0.748173i −0.565084 0.825034i \(-0.691156\pi\)
0.997042 + 0.0768601i \(0.0244895\pi\)
\(542\) 19.6916 0.845827
\(543\) 7.83139 + 1.79295i 0.336077 + 0.0769430i
\(544\) 0.0656475i 0.00281461i
\(545\) −12.4646 −0.533924
\(546\) 0.0398354 + 23.2207i 0.00170480 + 0.993756i
\(547\) 18.0920 0.773556 0.386778 0.922173i \(-0.373588\pi\)
0.386778 + 0.922173i \(0.373588\pi\)
\(548\) 0.0317569i 0.00135659i
\(549\) −27.3038 + 2.00957i −1.16530 + 0.0857663i
\(550\) −14.5492 −0.620380
\(551\) −10.7925 + 18.6931i −0.459776 + 0.796355i
\(552\) 2.66579 11.6438i 0.113463 0.495594i
\(553\) −6.70256 3.81043i −0.285022 0.162036i
\(554\) 33.1906i 1.41014i
\(555\) −42.7523 39.7214i −1.81473 1.68608i
\(556\) −0.0893688 0.0515971i −0.00379008 0.00218820i
\(557\) 28.3867 + 16.3891i 1.20278 + 0.694427i 0.961173 0.275947i \(-0.0889913\pi\)
0.241610 + 0.970374i \(0.422325\pi\)
\(558\) 2.07533 + 28.1974i 0.0878559 + 1.19369i
\(559\) −4.83569 + 15.4420i −0.204528 + 0.653128i
\(560\) −26.9579 15.3257i −1.13918 0.647628i
\(561\) 1.49489 1.60895i 0.0631142 0.0679301i
\(562\) 23.6160 0.996181
\(563\) −18.7036 −0.788263 −0.394131 0.919054i \(-0.628954\pi\)
−0.394131 + 0.919054i \(0.628954\pi\)
\(564\) −0.269587 0.250474i −0.0113516 0.0105469i
\(565\) −33.0199 + 19.0640i −1.38916 + 0.802030i
\(566\) 6.28359 10.8835i 0.264119 0.457468i
\(567\) −18.5573 + 14.9207i −0.779333 + 0.626609i
\(568\) 12.0111 20.8038i 0.503973 0.872908i
\(569\) 3.39872i 0.142482i 0.997459 + 0.0712408i \(0.0226959\pi\)
−0.997459 + 0.0712408i \(0.977304\pi\)
\(570\) 4.17237 18.2244i 0.174761 0.763335i
\(571\) 4.29368 + 7.43687i 0.179685 + 0.311224i 0.941773 0.336250i \(-0.109159\pi\)
−0.762088 + 0.647474i \(0.775825\pi\)
\(572\) 0.232962 + 0.0729523i 0.00974062 + 0.00305029i
\(573\) 1.37793 + 4.47772i 0.0575638 + 0.187060i
\(574\) 15.7670 + 26.8940i 0.658103 + 1.12253i
\(575\) −7.98855 + 4.61219i −0.333146 + 0.192342i
\(576\) 21.8716 + 10.5687i 0.911316 + 0.440363i
\(577\) −19.0273 + 10.9854i −0.792117 + 0.457329i −0.840707 0.541490i \(-0.817860\pi\)
0.0485903 + 0.998819i \(0.484527\pi\)
\(578\) 23.5861i 0.981052i
\(579\) 30.8001 + 28.6165i 1.28001 + 1.18926i
\(580\) 0.616092i 0.0255818i
\(581\) −0.187732 28.1851i −0.00778842 1.16932i
\(582\) −18.4425 17.1350i −0.764465 0.710268i
\(583\) −3.12719 −0.129515
\(584\) 11.1010 + 19.2274i 0.459361 + 0.795636i
\(585\) −21.9645 + 23.4073i −0.908120 + 0.967773i
\(586\) 20.3866 + 11.7702i 0.842161 + 0.486222i
\(587\) −21.5356 37.3007i −0.888868 1.53956i −0.841215 0.540701i \(-0.818159\pi\)
−0.0476531 0.998864i \(-0.515174\pi\)
\(588\) 0.0634322 0.295079i 0.00261590 0.0121689i
\(589\) 8.67818 15.0310i 0.357578 0.619343i
\(590\) 37.4949 + 21.6477i 1.54364 + 0.891222i
\(591\) 3.60740 + 11.7226i 0.148389 + 0.482204i
\(592\) 44.8423 1.84301
\(593\) 15.2562 26.4245i 0.626498 1.08513i −0.361752 0.932274i \(-0.617821\pi\)
0.988249 0.152851i \(-0.0488455\pi\)
\(594\) −7.21931 18.5031i −0.296212 0.759192i
\(595\) −3.18210 1.80903i −0.130453 0.0741632i
\(596\) 0.269418 0.155549i 0.0110358 0.00637152i
\(597\) −32.4964 7.43985i −1.32999 0.304493i
\(598\) −11.9837 + 2.68130i −0.490050 + 0.109647i
\(599\) −22.8836 + 13.2118i −0.934998 + 0.539821i −0.888389 0.459092i \(-0.848175\pi\)
−0.0466090 + 0.998913i \(0.514841\pi\)
\(600\) −5.51807 17.9315i −0.225274 0.732051i
\(601\) 32.5373 18.7854i 1.32722 0.766272i 0.342353 0.939571i \(-0.388776\pi\)
0.984869 + 0.173299i \(0.0554427\pi\)
\(602\) −8.24730 + 14.5070i −0.336135 + 0.591263i
\(603\) 11.0594 7.51863i 0.450375 0.306182i
\(604\) 0.0655868 + 0.113600i 0.00266869 + 0.00462230i
\(605\) −10.6911 −0.434654
\(606\) 11.0122 11.8525i 0.447339 0.481473i
\(607\) 0.844042 0.487308i 0.0342586 0.0197792i −0.482773 0.875746i \(-0.660370\pi\)
0.517031 + 0.855966i \(0.327037\pi\)
\(608\) −0.182222 0.315619i −0.00739010 0.0128000i
\(609\) 36.4519 11.4837i 1.47711 0.465342i
\(610\) −38.0599 −1.54100
\(611\) −9.19591 + 29.3657i −0.372027 + 1.18801i
\(612\) 0.0313488 + 0.0151483i 0.00126720 + 0.000612332i
\(613\) −0.0397399 + 0.0688315i −0.00160508 + 0.00278008i −0.866827 0.498609i \(-0.833844\pi\)
0.865222 + 0.501389i \(0.167178\pi\)
\(614\) −4.19521 −0.169305
\(615\) −9.61740 + 42.0076i −0.387811 + 1.69391i
\(616\) 17.8021 + 10.1206i 0.717268 + 0.407769i
\(617\) 8.99665 + 5.19422i 0.362192 + 0.209111i 0.670042 0.742323i \(-0.266276\pi\)
−0.307850 + 0.951435i \(0.599610\pi\)
\(618\) 15.9060 + 14.7783i 0.639833 + 0.594472i
\(619\) 34.3765 19.8473i 1.38171 0.797729i 0.389346 0.921092i \(-0.372701\pi\)
0.992362 + 0.123362i \(0.0393678\pi\)
\(620\) 0.495396i 0.0198956i
\(621\) −9.82954 7.87097i −0.394446 0.315851i
\(622\) −3.45922 + 1.99718i −0.138702 + 0.0800797i
\(623\) 0.121264 + 18.2060i 0.00485834 + 0.729407i
\(624\) 0.121970 24.6649i 0.00488273 0.987386i
\(625\) 14.7718 25.5854i 0.590870 1.02342i
\(626\) −5.94554 + 10.2980i −0.237632 + 0.411590i
\(627\) −2.72099 + 11.8850i −0.108666 + 0.474640i
\(628\) −0.00761012 + 0.00439370i −0.000303677 + 0.000175328i
\(629\) 5.29316 0.211052
\(630\) −27.2510 + 18.7929i −1.08570 + 0.748726i
\(631\) −22.2297 + 38.5030i −0.884952 + 1.53278i −0.0391833 + 0.999232i \(0.512476\pi\)
−0.845769 + 0.533550i \(0.820858\pi\)
\(632\) 7.18177 + 4.14640i 0.285676 + 0.164935i
\(633\) 38.6271 11.8867i 1.53529 0.472454i
\(634\) −19.9625 + 34.5760i −0.792812 + 1.37319i
\(635\) −4.03493 −0.160121
\(636\) −0.0145811 0.0473827i −0.000578177 0.00187885i
\(637\) −24.5543 + 5.83843i −0.972876 + 0.231327i
\(638\) 31.8780i 1.26206i
\(639\) −14.2377 20.9428i −0.563236 0.828485i
\(640\) 28.5212 + 16.4667i 1.12740 + 0.650905i
\(641\) 25.9882i 1.02647i 0.858248 + 0.513235i \(0.171553\pi\)
−0.858248 + 0.513235i \(0.828447\pi\)
\(642\) 0.0633484 0.276698i 0.00250016 0.0109204i
\(643\) −6.96396 4.02064i −0.274632 0.158559i 0.356359 0.934349i \(-0.384018\pi\)
−0.630991 + 0.775790i \(0.717351\pi\)
\(644\) 0.159610 0.00106311i 0.00628951 4.18924e-5i
\(645\) −22.0474 + 6.78464i −0.868116 + 0.267145i
\(646\) 0.847887 + 1.46858i 0.0333596 + 0.0577806i
\(647\) −9.77406 + 16.9292i −0.384258 + 0.665554i −0.991666 0.128836i \(-0.958876\pi\)
0.607408 + 0.794390i \(0.292209\pi\)
\(648\) 20.0666 15.9153i 0.788290 0.625212i
\(649\) −24.4522 14.1175i −0.959832 0.554159i
\(650\) −14.1947 + 13.0581i −0.556760 + 0.512182i
\(651\) −29.3108 + 9.23396i −1.14878 + 0.361907i
\(652\) 0.295003 + 0.510961i 0.0115532 + 0.0200108i
\(653\) 36.5755i 1.43131i −0.698455 0.715654i \(-0.746129\pi\)
0.698455 0.715654i \(-0.253871\pi\)
\(654\) −3.00717 9.77212i −0.117590 0.382120i
\(655\) −17.2981 29.9612i −0.675894 1.17068i
\(656\) −16.5572 28.6778i −0.646449 1.11968i
\(657\) 23.3422 1.71799i 0.910664 0.0670251i
\(658\) −15.6837 + 27.5876i −0.611413 + 1.07548i
\(659\) −24.3137 14.0375i −0.947126 0.546824i −0.0549393 0.998490i \(-0.517497\pi\)
−0.892187 + 0.451666i \(0.850830\pi\)
\(660\) 0.102355 + 0.332612i 0.00398415 + 0.0129469i
\(661\) 0.774562 + 0.447193i 0.0301270 + 0.0173938i 0.514988 0.857197i \(-0.327796\pi\)
−0.484861 + 0.874591i \(0.661130\pi\)
\(662\) 30.0742 17.3634i 1.16887 0.674847i
\(663\) 0.0143973 2.91143i 0.000559146 0.113071i
\(664\) 30.3164i 1.17651i
\(665\) 20.3203 0.135347i 0.787987 0.00524852i
\(666\) 20.8269 43.1005i 0.807026 1.67011i
\(667\) 10.1056 + 17.5033i 0.391289 + 0.677732i
\(668\) 0.0467698 + 0.0810077i 0.00180958 + 0.00313428i
\(669\) −2.60725 8.47251i −0.100802 0.327566i
\(670\) 16.1003 9.29554i 0.622011 0.359118i
\(671\) 24.8207 0.958191
\(672\) −0.139815 + 0.629951i −0.00539347 + 0.0243009i
\(673\) −14.0268 24.2951i −0.540692 0.936506i −0.998864 0.0476430i \(-0.984829\pi\)
0.458172 0.888863i \(-0.348504\pi\)
\(674\) 5.80635i 0.223652i
\(675\) −19.5514 2.98687i −0.752535 0.114965i
\(676\) 0.292761 0.137912i 0.0112600 0.00530431i
\(677\) 16.0687 27.8319i 0.617572 1.06967i −0.372356 0.928090i \(-0.621450\pi\)
0.989927 0.141575i \(-0.0452168\pi\)
\(678\) −22.9123 21.2880i −0.879943 0.817559i
\(679\) 13.5228 23.7867i 0.518958 0.912850i
\(680\) 3.40961 + 1.96854i 0.130753 + 0.0754901i
\(681\) −8.93182 + 39.0131i −0.342268 + 1.49498i
\(682\) 25.6329i 0.981536i
\(683\) 23.9165i 0.915140i −0.889173 0.457570i \(-0.848720\pi\)
0.889173 0.457570i \(-0.151280\pi\)
\(684\) −0.192766 + 0.0141876i −0.00737059 + 0.000542477i
\(685\) −3.27852 1.89285i −0.125266 0.0723222i
\(686\) −26.0229 + 0.520051i −0.993559 + 0.0198556i
\(687\) −29.4270 + 31.6724i −1.12271 + 1.20838i
\(688\) 8.86276 15.3507i 0.337889 0.585242i
\(689\) −3.05099 + 2.80670i −0.116233 + 0.106927i
\(690\) −12.8248 11.9156i −0.488232 0.453619i
\(691\) 47.7926i 1.81812i 0.416668 + 0.909059i \(0.363198\pi\)
−0.416668 + 0.909059i \(0.636802\pi\)
\(692\) −0.0526697 0.0912265i −0.00200220 0.00346791i
\(693\) 17.7716 12.2557i 0.675087 0.465555i
\(694\) 13.0055 0.493683
\(695\) −10.6535 + 6.15083i −0.404112 + 0.233314i
\(696\) −39.2889 + 12.0904i −1.48924 + 0.458284i
\(697\) −1.95440 3.38512i −0.0740281 0.128220i
\(698\) 6.36393 + 11.0226i 0.240878 + 0.417213i
\(699\) −14.0634 + 15.1365i −0.531927 + 0.572515i
\(700\) 0.216268 0.126790i 0.00817416 0.00479223i
\(701\) 6.73334i 0.254315i 0.991883 + 0.127157i \(0.0405853\pi\)
−0.991883 + 0.127157i \(0.959415\pi\)
\(702\) −23.6502 11.5728i −0.892620 0.436787i
\(703\) −25.4483 + 14.6926i −0.959801 + 0.554142i
\(704\) −19.0720 11.0112i −0.718804 0.415002i
\(705\) −41.9269 + 12.9022i −1.57906 + 0.485924i
\(706\) 14.3370 + 8.27748i 0.539581 + 0.311527i
\(707\) 15.2870 + 8.69073i 0.574928 + 0.326849i
\(708\) 0.0998930 0.436320i 0.00375421 0.0163979i
\(709\) 19.0101 + 32.9264i 0.713939 + 1.23658i 0.963367 + 0.268185i \(0.0864239\pi\)
−0.249428 + 0.968393i \(0.580243\pi\)
\(710\) −17.6026 30.4886i −0.660614 1.14422i
\(711\) 7.22977 4.91508i 0.271137 0.184330i
\(712\) 19.5827i 0.733892i
\(713\) −8.12581 14.0743i −0.304314 0.527088i
\(714\) 0.650562 2.93118i 0.0243467 0.109697i
\(715\) 21.4170 19.7022i 0.800950 0.736820i
\(716\) 0.0215864 + 0.0124629i 0.000806723 + 0.000465762i
\(717\) 17.3802 + 3.97909i 0.649075 + 0.148602i
\(718\) −0.929540 + 1.61001i −0.0346901 + 0.0600850i
\(719\) 12.3151 + 21.3303i 0.459275 + 0.795487i 0.998923 0.0464037i \(-0.0147761\pi\)
−0.539648 + 0.841891i \(0.681443\pi\)
\(720\) 29.0784 19.7686i 1.08369 0.736733i
\(721\) −11.6630 + 20.5152i −0.434351 + 0.764026i
\(722\) 14.9720 + 8.64408i 0.557199 + 0.321699i
\(723\) 26.8291 + 6.14237i 0.997784 + 0.228437i
\(724\) 0.115468i 0.00429133i
\(725\) 27.4913 + 15.8721i 1.02100 + 0.589476i
\(726\) −2.57930 8.38171i −0.0957269 0.311075i
\(727\) 6.39426i 0.237150i 0.992945 + 0.118575i \(0.0378326\pi\)
−0.992945 + 0.118575i \(0.962167\pi\)
\(728\) 26.4517 6.10374i 0.980365 0.226220i
\(729\) −5.90283 26.3469i −0.218623 0.975809i
\(730\) 32.5376 1.20427
\(731\) 1.04615 1.81199i 0.0386934 0.0670190i
\(732\) 0.115731 + 0.376078i 0.00427752 + 0.0139003i
\(733\) 19.2593 + 11.1194i 0.711359 + 0.410703i 0.811564 0.584263i \(-0.198616\pi\)
−0.100205 + 0.994967i \(0.531950\pi\)
\(734\) 4.09665 7.09561i 0.151210 0.261904i
\(735\) −26.6825 24.1366i −0.984198 0.890292i
\(736\) −0.341248 −0.0125786
\(737\) −10.4998 + 6.06205i −0.386764 + 0.223299i
\(738\) −35.2539 + 2.59469i −1.29771 + 0.0955120i
\(739\) −11.6070 + 20.1039i −0.426970 + 0.739534i −0.996602 0.0823658i \(-0.973752\pi\)
0.569632 + 0.821900i \(0.307086\pi\)
\(740\) −0.419365 + 0.726361i −0.0154162 + 0.0267016i
\(741\) 8.01224 + 14.0375i 0.294337 + 0.515679i
\(742\) −3.68815 + 2.16224i −0.135396 + 0.0793782i
\(743\) 13.9525 8.05548i 0.511867 0.295527i −0.221734 0.975107i \(-0.571172\pi\)
0.733601 + 0.679581i \(0.237838\pi\)
\(744\) 31.5920 9.72179i 1.15822 0.356418i
\(745\) 37.0855i 1.35871i
\(746\) −3.94023 + 2.27489i −0.144262 + 0.0832897i
\(747\) 28.7761 + 13.9051i 1.05286 + 0.508761i
\(748\) −0.0273361 0.0157825i −0.000999508 0.000577066i
\(749\) 0.308520 0.00205495i 0.0112731 7.50861e-5i
\(750\) 8.40514 + 1.92431i 0.306912 + 0.0702658i
\(751\) −7.82172 −0.285419 −0.142709 0.989765i \(-0.545581\pi\)
−0.142709 + 0.989765i \(0.545581\pi\)
\(752\) 16.8541 29.1921i 0.614604 1.06453i
\(753\) 20.3744 + 18.9300i 0.742484 + 0.689846i
\(754\) 28.6110 + 31.1012i 1.04195 + 1.13264i
\(755\) 15.6370 0.569090
\(756\) 0.268559 + 0.212128i 0.00976741 + 0.00771502i
\(757\) 25.1290 + 43.5247i 0.913329 + 1.58193i 0.809329 + 0.587356i \(0.199831\pi\)
0.104001 + 0.994577i \(0.466836\pi\)
\(758\) −28.8470 + 16.6548i −1.04777 + 0.604931i
\(759\) 8.36365 + 7.77070i 0.303581 + 0.282059i
\(760\) −21.8569 −0.792832
\(761\) 7.23115 + 12.5247i 0.262129 + 0.454021i 0.966807 0.255506i \(-0.0822421\pi\)
−0.704678 + 0.709527i \(0.748909\pi\)
\(762\) −0.973457 3.16335i −0.0352646 0.114596i
\(763\) 9.58687 5.62045i 0.347068 0.203474i
\(764\) 0.0583127 0.0336669i 0.00210968 0.00121802i
\(765\) 3.43240 2.33348i 0.124099 0.0843671i
\(766\) 43.3277 25.0152i 1.56549 0.903837i
\(767\) −36.5269 + 8.17275i −1.31891 + 0.295101i
\(768\) 0.230903 1.00856i 0.00833200 0.0363931i
\(769\) 17.5980 10.1602i 0.634602 0.366388i −0.147930 0.988998i \(-0.547261\pi\)
0.782532 + 0.622610i \(0.213928\pi\)
\(770\) 25.8897 15.1782i 0.933000 0.546986i
\(771\) 4.24680 18.5495i 0.152945 0.668044i
\(772\) 0.302123 0.523293i 0.0108737 0.0188337i
\(773\) −39.8914 −1.43479 </