Properties

Label 637.2.bl.b.53.23
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.23
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.b.625.23

$q$-expansion

\(f(q)\) \(=\) \(q+(1.47927 + 1.00855i) q^{2} +(1.63683 + 1.51876i) q^{3} +(0.440381 + 1.12207i) q^{4} +(1.13232 - 0.349275i) q^{5} +(0.889572 + 3.89747i) q^{6} +(0.173595 - 2.64005i) q^{7} +(0.316565 - 1.38696i) q^{8} +(0.148402 + 1.98029i) q^{9} +O(q^{10})\) \(q+(1.47927 + 1.00855i) q^{2} +(1.63683 + 1.51876i) q^{3} +(0.440381 + 1.12207i) q^{4} +(1.13232 - 0.349275i) q^{5} +(0.889572 + 3.89747i) q^{6} +(0.173595 - 2.64005i) q^{7} +(0.316565 - 1.38696i) q^{8} +(0.148402 + 1.98029i) q^{9} +(2.02727 + 0.625329i) q^{10} +(-0.460570 + 6.14588i) q^{11} +(-0.983326 + 2.50547i) q^{12} +(-0.900969 + 0.433884i) q^{13} +(2.91941 - 3.73026i) q^{14} +(2.38388 + 1.14802i) q^{15} +(3.63433 - 3.37217i) q^{16} +(-4.08464 + 0.615661i) q^{17} +(-1.77769 + 3.07905i) q^{18} +(2.80160 + 4.85252i) q^{19} +(0.890564 + 1.11673i) q^{20} +(4.29374 - 4.05767i) q^{21} +(-6.87971 + 8.62689i) q^{22} +(2.54869 + 0.384154i) q^{23} +(2.62462 - 1.78944i) q^{24} +(-2.97103 + 2.02562i) q^{25} +(-1.77037 - 0.266840i) q^{26} +(1.41190 - 1.77047i) q^{27} +(3.03877 - 0.967841i) q^{28} +(-5.42217 - 6.79919i) q^{29} +(2.36857 + 4.10248i) q^{30} +(3.62715 - 6.28241i) q^{31} +(5.96366 - 0.898877i) q^{32} +(-10.0880 + 9.36027i) q^{33} +(-6.66320 - 3.20883i) q^{34} +(-0.725538 - 3.05002i) q^{35} +(-2.15667 + 1.03860i) q^{36} +(-1.57219 + 4.00587i) q^{37} +(-0.749675 + 10.0037i) q^{38} +(-2.13370 - 0.658159i) q^{39} +(-0.125978 - 1.68105i) q^{40} +(1.67715 - 7.34806i) q^{41} +(10.4439 - 1.67193i) q^{42} +(-1.00823 - 4.41734i) q^{43} +(-7.09894 + 2.18973i) q^{44} +(0.859704 + 2.19049i) q^{45} +(3.38276 + 3.13874i) q^{46} +(-3.87665 - 2.64306i) q^{47} +11.0703 q^{48} +(-6.93973 - 0.916597i) q^{49} -6.43788 q^{50} +(-7.62091 - 5.19585i) q^{51} +(-0.883618 - 0.819878i) q^{52} +(-0.482978 - 1.23061i) q^{53} +(3.87418 - 1.19503i) q^{54} +(1.62509 + 7.11998i) q^{55} +(-3.60669 - 1.07652i) q^{56} +(-2.78405 + 12.1977i) q^{57} +(-1.16354 - 15.5263i) q^{58} +(-12.0110 - 3.70489i) q^{59} +(-0.238342 + 3.18045i) q^{60} +(-1.86939 + 4.76312i) q^{61} +(11.7016 - 5.63521i) q^{62} +(5.25382 - 0.0480214i) q^{63} +(0.794733 + 0.382723i) q^{64} +(-0.868642 + 0.805982i) q^{65} +(-24.3631 + 3.67214i) q^{66} +(-4.08655 + 7.07812i) q^{67} +(-2.48961 - 4.31214i) q^{68} +(3.58835 + 4.49964i) q^{69} +(2.00282 - 5.24353i) q^{70} +(5.72661 - 7.18094i) q^{71} +(2.79356 + 0.421062i) q^{72} +(1.03987 - 0.708969i) q^{73} +(-6.36579 + 4.34012i) q^{74} +(-7.93950 - 1.19669i) q^{75} +(-4.21110 + 5.28055i) q^{76} +(16.1455 + 2.28282i) q^{77} +(-2.49252 - 3.12553i) q^{78} +(3.83306 + 6.63906i) q^{79} +(2.93742 - 5.08776i) q^{80} +(10.8909 - 1.64155i) q^{81} +(9.89181 - 9.17826i) q^{82} +(-5.20613 - 2.50714i) q^{83} +(6.44388 + 3.03097i) q^{84} +(-4.41010 + 2.12379i) q^{85} +(2.96365 - 7.55126i) q^{86} +(1.45114 - 19.3641i) q^{87} +(8.37829 + 2.58436i) q^{88} +(-1.00095 - 13.3568i) q^{89} +(-0.937481 + 4.10737i) q^{90} +(0.989071 + 2.45392i) q^{91} +(0.691347 + 3.02899i) q^{92} +(15.4785 - 4.77449i) q^{93} +(-3.06895 - 7.81957i) q^{94} +(4.86718 + 4.51608i) q^{95} +(11.1267 + 7.58604i) q^{96} -5.42125 q^{97} +(-9.34128 - 8.35493i) q^{98} -12.2390 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.47927 + 1.00855i 1.04600 + 0.713150i 0.959100 0.283067i \(-0.0913518\pi\)
0.0868992 + 0.996217i \(0.472304\pi\)
\(3\) 1.63683 + 1.51876i 0.945025 + 0.876855i 0.992528 0.122016i \(-0.0389359\pi\)
−0.0475031 + 0.998871i \(0.515126\pi\)
\(4\) 0.440381 + 1.12207i 0.220190 + 0.561036i
\(5\) 1.13232 0.349275i 0.506390 0.156201i −0.0310251 0.999519i \(-0.509877\pi\)
0.537415 + 0.843318i \(0.319401\pi\)
\(6\) 0.889572 + 3.89747i 0.363166 + 1.59113i
\(7\) 0.173595 2.64005i 0.0656126 0.997845i
\(8\) 0.316565 1.38696i 0.111923 0.490365i
\(9\) 0.148402 + 1.98029i 0.0494674 + 0.660096i
\(10\) 2.02727 + 0.625329i 0.641078 + 0.197746i
\(11\) −0.460570 + 6.14588i −0.138867 + 1.85305i 0.299301 + 0.954159i \(0.403247\pi\)
−0.438168 + 0.898893i \(0.644372\pi\)
\(12\) −0.983326 + 2.50547i −0.283862 + 0.723268i
\(13\) −0.900969 + 0.433884i −0.249884 + 0.120338i
\(14\) 2.91941 3.73026i 0.780244 0.996954i
\(15\) 2.38388 + 1.14802i 0.615516 + 0.296417i
\(16\) 3.63433 3.37217i 0.908583 0.843042i
\(17\) −4.08464 + 0.615661i −0.990672 + 0.149320i −0.624330 0.781161i \(-0.714628\pi\)
−0.366342 + 0.930480i \(0.619390\pi\)
\(18\) −1.77769 + 3.07905i −0.419005 + 0.725738i
\(19\) 2.80160 + 4.85252i 0.642732 + 1.11324i 0.984820 + 0.173576i \(0.0555323\pi\)
−0.342089 + 0.939668i \(0.611134\pi\)
\(20\) 0.890564 + 1.11673i 0.199136 + 0.249709i
\(21\) 4.29374 4.05767i 0.936971 0.885456i
\(22\) −6.87971 + 8.62689i −1.46676 + 1.83926i
\(23\) 2.54869 + 0.384154i 0.531439 + 0.0801016i 0.409280 0.912409i \(-0.365780\pi\)
0.122160 + 0.992510i \(0.461018\pi\)
\(24\) 2.62462 1.78944i 0.535748 0.365267i
\(25\) −2.97103 + 2.02562i −0.594207 + 0.405123i
\(26\) −1.77037 0.266840i −0.347197 0.0523316i
\(27\) 1.41190 1.77047i 0.271721 0.340727i
\(28\) 3.03877 0.967841i 0.574274 0.182905i
\(29\) −5.42217 6.79919i −1.00687 1.26258i −0.964668 0.263469i \(-0.915133\pi\)
−0.0422047 0.999109i \(-0.513438\pi\)
\(30\) 2.36857 + 4.10248i 0.432440 + 0.749007i
\(31\) 3.62715 6.28241i 0.651456 1.12835i −0.331314 0.943521i \(-0.607492\pi\)
0.982770 0.184834i \(-0.0591748\pi\)
\(32\) 5.96366 0.898877i 1.05424 0.158901i
\(33\) −10.0880 + 9.36027i −1.75609 + 1.62941i
\(34\) −6.66320 3.20883i −1.14273 0.550309i
\(35\) −0.725538 3.05002i −0.122638 0.515547i
\(36\) −2.15667 + 1.03860i −0.359445 + 0.173100i
\(37\) −1.57219 + 4.00587i −0.258466 + 0.658561i −0.999923 0.0124400i \(-0.996040\pi\)
0.741457 + 0.671001i \(0.234135\pi\)
\(38\) −0.749675 + 10.0037i −0.121613 + 1.62282i
\(39\) −2.13370 0.658159i −0.341665 0.105390i
\(40\) −0.125978 1.68105i −0.0199188 0.265798i
\(41\) 1.67715 7.34806i 0.261926 1.14757i −0.657233 0.753688i \(-0.728273\pi\)
0.919159 0.393886i \(-0.128870\pi\)
\(42\) 10.4439 1.67193i 1.61153 0.257985i
\(43\) −1.00823 4.41734i −0.153753 0.673637i −0.991774 0.127999i \(-0.959144\pi\)
0.838021 0.545638i \(-0.183713\pi\)
\(44\) −7.09894 + 2.18973i −1.07021 + 0.330115i
\(45\) 0.859704 + 2.19049i 0.128157 + 0.326539i
\(46\) 3.38276 + 3.13874i 0.498761 + 0.462782i
\(47\) −3.87665 2.64306i −0.565468 0.385529i 0.246578 0.969123i \(-0.420694\pi\)
−0.812046 + 0.583594i \(0.801646\pi\)
\(48\) 11.0703 1.59786
\(49\) −6.93973 0.916597i −0.991390 0.130942i
\(50\) −6.43788 −0.910454
\(51\) −7.62091 5.19585i −1.06714 0.727565i
\(52\) −0.883618 0.819878i −0.122536 0.113697i
\(53\) −0.482978 1.23061i −0.0663422 0.169037i 0.893858 0.448351i \(-0.147988\pi\)
−0.960200 + 0.279313i \(0.909893\pi\)
\(54\) 3.87418 1.19503i 0.527209 0.162622i
\(55\) 1.62509 + 7.11998i 0.219127 + 0.960058i
\(56\) −3.60669 1.07652i −0.481964 0.143855i
\(57\) −2.78405 + 12.1977i −0.368756 + 1.61563i
\(58\) −1.16354 15.5263i −0.152780 2.03871i
\(59\) −12.0110 3.70489i −1.56369 0.482336i −0.612381 0.790563i \(-0.709788\pi\)
−0.951313 + 0.308227i \(0.900264\pi\)
\(60\) −0.238342 + 3.18045i −0.0307698 + 0.410595i
\(61\) −1.86939 + 4.76312i −0.239350 + 0.609854i −0.999189 0.0402567i \(-0.987182\pi\)
0.759839 + 0.650111i \(0.225278\pi\)
\(62\) 11.7016 5.63521i 1.48611 0.715672i
\(63\) 5.25382 0.0480214i 0.661920 0.00605013i
\(64\) 0.794733 + 0.382723i 0.0993416 + 0.0478404i
\(65\) −0.868642 + 0.805982i −0.107742 + 0.0999697i
\(66\) −24.3631 + 3.67214i −2.99889 + 0.452010i
\(67\) −4.08655 + 7.07812i −0.499252 + 0.864730i −1.00000 0.000863498i \(-0.999725\pi\)
0.500748 + 0.865593i \(0.333058\pi\)
\(68\) −2.48961 4.31214i −0.301910 0.522924i
\(69\) 3.58835 + 4.49964i 0.431986 + 0.541693i
\(70\) 2.00282 5.24353i 0.239383 0.626722i
\(71\) 5.72661 7.18094i 0.679624 0.852221i −0.315696 0.948860i \(-0.602238\pi\)
0.995319 + 0.0966394i \(0.0308094\pi\)
\(72\) 2.79356 + 0.421062i 0.329224 + 0.0496226i
\(73\) 1.03987 0.708969i 0.121707 0.0829785i −0.500937 0.865484i \(-0.667011\pi\)
0.622644 + 0.782505i \(0.286059\pi\)
\(74\) −6.36579 + 4.34012i −0.740008 + 0.504529i
\(75\) −7.93950 1.19669i −0.916775 0.138182i
\(76\) −4.21110 + 5.28055i −0.483046 + 0.605721i
\(77\) 16.1455 + 2.28282i 1.83995 + 0.260151i
\(78\) −2.49252 3.12553i −0.282223 0.353896i
\(79\) 3.83306 + 6.63906i 0.431253 + 0.746952i 0.996982 0.0776394i \(-0.0247383\pi\)
−0.565728 + 0.824592i \(0.691405\pi\)
\(80\) 2.93742 5.08776i 0.328414 0.568829i
\(81\) 10.8909 1.64155i 1.21010 0.182394i
\(82\) 9.89181 9.17826i 1.09237 1.01357i
\(83\) −5.20613 2.50714i −0.571447 0.275194i 0.125764 0.992060i \(-0.459862\pi\)
−0.697211 + 0.716866i \(0.745576\pi\)
\(84\) 6.44388 + 3.03097i 0.703084 + 0.330706i
\(85\) −4.41010 + 2.12379i −0.478342 + 0.230357i
\(86\) 2.96365 7.55126i 0.319579 0.814274i
\(87\) 1.45114 19.3641i 0.155578 2.07605i
\(88\) 8.37829 + 2.58436i 0.893129 + 0.275494i
\(89\) −1.00095 13.3568i −0.106101 1.41582i −0.755391 0.655275i \(-0.772553\pi\)
0.649290 0.760541i \(-0.275066\pi\)
\(90\) −0.937481 + 4.10737i −0.0988192 + 0.432955i
\(91\) 0.989071 + 2.45392i 0.103683 + 0.257241i
\(92\) 0.691347 + 3.02899i 0.0720780 + 0.315794i
\(93\) 15.4785 4.77449i 1.60505 0.495091i
\(94\) −3.06895 7.81957i −0.316538 0.806527i
\(95\) 4.86718 + 4.51608i 0.499362 + 0.463340i
\(96\) 11.1267 + 7.58604i 1.13561 + 0.774247i
\(97\) −5.42125 −0.550445 −0.275222 0.961381i \(-0.588751\pi\)
−0.275222 + 0.961381i \(0.588751\pi\)
\(98\) −9.34128 8.35493i −0.943612 0.843976i
\(99\) −12.2390 −1.23006
\(100\) −3.58127 2.44167i −0.358127 0.244167i
\(101\) 7.79889 + 7.23631i 0.776018 + 0.720040i 0.965089 0.261924i \(-0.0843569\pi\)
−0.189070 + 0.981964i \(0.560547\pi\)
\(102\) −6.03310 15.3721i −0.597366 1.52206i
\(103\) 2.61632 0.807027i 0.257794 0.0795188i −0.163165 0.986599i \(-0.552170\pi\)
0.420958 + 0.907080i \(0.361694\pi\)
\(104\) 0.316565 + 1.38696i 0.0310417 + 0.136003i
\(105\) 3.44465 6.09428i 0.336164 0.594741i
\(106\) 0.526673 2.30750i 0.0511550 0.224125i
\(107\) 1.39753 + 18.6488i 0.135105 + 1.80285i 0.493991 + 0.869467i \(0.335537\pi\)
−0.358886 + 0.933381i \(0.616843\pi\)
\(108\) 2.60837 + 0.804574i 0.250990 + 0.0774202i
\(109\) −1.02017 + 13.6133i −0.0977148 + 1.30391i 0.705707 + 0.708504i \(0.250629\pi\)
−0.803422 + 0.595410i \(0.796990\pi\)
\(110\) −4.77689 + 12.1713i −0.455459 + 1.16049i
\(111\) −8.65735 + 4.16916i −0.821719 + 0.395719i
\(112\) −8.27179 10.1802i −0.781611 0.961940i
\(113\) 13.4237 + 6.46450i 1.26279 + 0.608129i 0.940912 0.338651i \(-0.109971\pi\)
0.321881 + 0.946780i \(0.395685\pi\)
\(114\) −16.4203 + 15.2358i −1.53790 + 1.42697i
\(115\) 3.02012 0.455209i 0.281627 0.0424485i
\(116\) 5.24136 9.07830i 0.486648 0.842899i
\(117\) −0.992921 1.71979i −0.0917956 0.158995i
\(118\) −14.0309 17.5941i −1.29165 1.61967i
\(119\) 0.916303 + 10.8905i 0.0839974 + 0.998334i
\(120\) 2.34691 2.94293i 0.214242 0.268652i
\(121\) −26.6826 4.02175i −2.42569 0.365614i
\(122\) −7.56914 + 5.16055i −0.685278 + 0.467215i
\(123\) 13.9051 9.48035i 1.25378 0.854815i
\(124\) 8.64665 + 1.30327i 0.776492 + 0.117037i
\(125\) −6.35074 + 7.96358i −0.568028 + 0.712284i
\(126\) 7.82024 + 5.22769i 0.696682 + 0.465720i
\(127\) 1.06175 + 1.33139i 0.0942153 + 0.118142i 0.826704 0.562637i \(-0.190213\pi\)
−0.732489 + 0.680779i \(0.761642\pi\)
\(128\) −5.24139 9.07836i −0.463278 0.802421i
\(129\) 5.05856 8.76169i 0.445382 0.771424i
\(130\) −2.09782 + 0.316196i −0.183991 + 0.0277322i
\(131\) 4.29469 3.98489i 0.375229 0.348162i −0.469904 0.882717i \(-0.655712\pi\)
0.845133 + 0.534556i \(0.179521\pi\)
\(132\) −14.9454 7.19735i −1.30083 0.626449i
\(133\) 13.2972 6.55400i 1.15302 0.568304i
\(134\) −13.1837 + 6.34894i −1.13890 + 0.548465i
\(135\) 0.980346 2.49788i 0.0843748 0.214983i
\(136\) −0.439156 + 5.86014i −0.0376574 + 0.502502i
\(137\) −0.664925 0.205102i −0.0568083 0.0175231i 0.266221 0.963912i \(-0.414225\pi\)
−0.323029 + 0.946389i \(0.604701\pi\)
\(138\) 0.770019 + 10.2752i 0.0655484 + 0.874682i
\(139\) −3.23037 + 14.1532i −0.273996 + 1.20046i 0.631253 + 0.775577i \(0.282541\pi\)
−0.905250 + 0.424880i \(0.860316\pi\)
\(140\) 3.10283 2.15728i 0.262237 0.182323i
\(141\) −2.33126 10.2139i −0.196328 0.860168i
\(142\) 15.7135 4.84697i 1.31865 0.406749i
\(143\) −2.25164 5.73708i −0.188291 0.479759i
\(144\) 7.21721 + 6.69659i 0.601434 + 0.558049i
\(145\) −8.51443 5.80504i −0.707085 0.482083i
\(146\) 2.25327 0.186482
\(147\) −9.96708 12.0401i −0.822071 0.993049i
\(148\) −5.18723 −0.426388
\(149\) 13.1727 + 8.98100i 1.07915 + 0.735752i 0.966186 0.257847i \(-0.0830131\pi\)
0.112964 + 0.993599i \(0.463965\pi\)
\(150\) −10.5377 9.77758i −0.860402 0.798336i
\(151\) 5.00428 + 12.7507i 0.407243 + 1.03764i 0.976508 + 0.215483i \(0.0691327\pi\)
−0.569265 + 0.822154i \(0.692772\pi\)
\(152\) 7.61714 2.34958i 0.617831 0.190576i
\(153\) −1.82536 7.99741i −0.147571 0.646552i
\(154\) 21.5811 + 19.6604i 1.73906 + 1.58428i
\(155\) 1.91281 8.38059i 0.153641 0.673145i
\(156\) −0.201138 2.68400i −0.0161039 0.214892i
\(157\) 4.21556 + 1.30033i 0.336439 + 0.103778i 0.458371 0.888761i \(-0.348433\pi\)
−0.121933 + 0.992538i \(0.538909\pi\)
\(158\) −1.02568 + 13.6868i −0.0815988 + 1.08886i
\(159\) 1.07844 2.74783i 0.0855260 0.217917i
\(160\) 6.43883 3.10078i 0.509034 0.245138i
\(161\) 1.45663 6.66199i 0.114798 0.525039i
\(162\) 17.7662 + 8.55574i 1.39584 + 0.672203i
\(163\) −2.11764 + 1.96488i −0.165866 + 0.153901i −0.758739 0.651395i \(-0.774184\pi\)
0.592873 + 0.805296i \(0.297994\pi\)
\(164\) 8.98363 1.35406i 0.701504 0.105735i
\(165\) −8.15352 + 14.1223i −0.634751 + 1.09942i
\(166\) −5.17268 8.95935i −0.401478 0.695381i
\(167\) −11.7847 14.7776i −0.911929 1.14352i −0.989209 0.146513i \(-0.953195\pi\)
0.0772796 0.997009i \(-0.475377\pi\)
\(168\) −4.26858 7.23976i −0.329328 0.558560i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) −8.66565 1.30614i −0.664625 0.100176i
\(171\) −9.19362 + 6.26811i −0.703054 + 0.479334i
\(172\) 4.51256 3.07661i 0.344080 0.234590i
\(173\) −0.482689 0.0727537i −0.0366982 0.00553136i 0.130668 0.991426i \(-0.458288\pi\)
−0.167366 + 0.985895i \(0.553526\pi\)
\(174\) 21.6762 27.1811i 1.64327 2.06060i
\(175\) 4.83197 + 8.19532i 0.365263 + 0.619508i
\(176\) 19.0511 + 23.8893i 1.43603 + 1.80072i
\(177\) −14.0331 24.3060i −1.05479 1.82695i
\(178\) 11.9903 20.7677i 0.898708 1.55661i
\(179\) 7.18594 1.08311i 0.537102 0.0809551i 0.125111 0.992143i \(-0.460071\pi\)
0.411991 + 0.911188i \(0.364833\pi\)
\(180\) −2.07929 + 1.92930i −0.154981 + 0.143802i
\(181\) 7.44386 + 3.58477i 0.553297 + 0.266454i 0.689572 0.724217i \(-0.257799\pi\)
−0.136275 + 0.990671i \(0.543513\pi\)
\(182\) −1.01180 + 4.62753i −0.0749993 + 0.343015i
\(183\) −10.2939 + 4.95727i −0.760946 + 0.366452i
\(184\) 1.33963 3.41333i 0.0987590 0.251634i
\(185\) −0.381072 + 5.08506i −0.0280170 + 0.373861i
\(186\) 27.7121 + 8.54806i 2.03195 + 0.626774i
\(187\) −1.90251 25.3873i −0.139126 1.85650i
\(188\) 1.25850 5.51383i 0.0917852 0.402137i
\(189\) −4.42903 4.03483i −0.322164 0.293491i
\(190\) 2.64517 + 11.5893i 0.191901 + 0.840774i
\(191\) −1.42165 + 0.438519i −0.102867 + 0.0317302i −0.345761 0.938323i \(-0.612379\pi\)
0.242895 + 0.970053i \(0.421903\pi\)
\(192\) 0.719580 + 1.83346i 0.0519312 + 0.132319i
\(193\) 19.1601 + 17.7779i 1.37917 + 1.27968i 0.920318 + 0.391172i \(0.127930\pi\)
0.458854 + 0.888512i \(0.348260\pi\)
\(194\) −8.01947 5.46759i −0.575765 0.392550i
\(195\) −2.64591 −0.189478
\(196\) −2.02763 8.19053i −0.144831 0.585038i
\(197\) −0.855369 −0.0609425 −0.0304713 0.999536i \(-0.509701\pi\)
−0.0304713 + 0.999536i \(0.509701\pi\)
\(198\) −18.1047 12.3436i −1.28664 0.877219i
\(199\) −9.09217 8.43630i −0.644527 0.598034i 0.288657 0.957433i \(-0.406791\pi\)
−0.933184 + 0.359399i \(0.882982\pi\)
\(200\) 1.86893 + 4.76195i 0.132153 + 0.336720i
\(201\) −17.4389 + 5.37920i −1.23005 + 0.379420i
\(202\) 4.23848 + 18.5700i 0.298218 + 1.30658i
\(203\) −18.8915 + 13.1345i −1.32592 + 0.921862i
\(204\) 2.47401 10.8394i 0.173216 0.758907i
\(205\) −0.667424 8.90615i −0.0466149 0.622033i
\(206\) 4.68416 + 1.44487i 0.326361 + 0.100669i
\(207\) −0.382504 + 5.10416i −0.0265859 + 0.354764i
\(208\) −1.81129 + 4.61510i −0.125591 + 0.319999i
\(209\) −31.1133 + 14.9834i −2.15215 + 1.03642i
\(210\) 11.2419 5.54097i 0.775767 0.382363i
\(211\) 16.8158 + 8.09807i 1.15765 + 0.557494i 0.911323 0.411693i \(-0.135062\pi\)
0.246326 + 0.969187i \(0.420777\pi\)
\(212\) 1.16814 1.08387i 0.0802280 0.0744407i
\(213\) 20.2796 3.05666i 1.38954 0.209439i
\(214\) −16.7409 + 28.9960i −1.14438 + 1.98213i
\(215\) −2.68450 4.64970i −0.183082 0.317107i
\(216\) −2.00861 2.51872i −0.136669 0.171377i
\(217\) −15.9562 10.6665i −1.08318 0.724087i
\(218\) −15.2387 + 19.1087i −1.03210 + 1.29421i
\(219\) 2.77884 + 0.418842i 0.187776 + 0.0283028i
\(220\) −7.27347 + 4.95897i −0.490377 + 0.334333i
\(221\) 3.41301 2.32695i 0.229584 0.156528i
\(222\) −17.0113 2.56404i −1.14173 0.172087i
\(223\) 4.58496 5.74936i 0.307031 0.385005i −0.604246 0.796798i \(-0.706526\pi\)
0.911278 + 0.411792i \(0.135097\pi\)
\(224\) −1.33782 15.9004i −0.0893869 1.06239i
\(225\) −4.45221 5.58290i −0.296814 0.372193i
\(226\) 13.3374 + 23.1011i 0.887194 + 1.53666i
\(227\) 3.67916 6.37249i 0.244194 0.422957i −0.717711 0.696342i \(-0.754810\pi\)
0.961905 + 0.273385i \(0.0881432\pi\)
\(228\) −14.9127 + 2.24773i −0.987620 + 0.148860i
\(229\) −1.40133 + 1.30024i −0.0926024 + 0.0859225i −0.725116 0.688627i \(-0.758214\pi\)
0.632513 + 0.774549i \(0.282023\pi\)
\(230\) 4.92666 + 2.37255i 0.324854 + 0.156442i
\(231\) 22.9604 + 28.2577i 1.51068 + 1.85922i
\(232\) −11.1467 + 5.36796i −0.731815 + 0.352424i
\(233\) −5.39210 + 13.7389i −0.353248 + 0.900062i 0.638237 + 0.769840i \(0.279664\pi\)
−0.991485 + 0.130222i \(0.958431\pi\)
\(234\) 0.265694 3.54543i 0.0173689 0.231772i
\(235\) −5.31277 1.63877i −0.346567 0.106902i
\(236\) −1.13224 15.1087i −0.0737027 0.983494i
\(237\) −3.80904 + 16.6885i −0.247424 + 1.08403i
\(238\) −9.62816 + 17.0341i −0.624101 + 1.10416i
\(239\) −5.82929 25.5398i −0.377066 1.65203i −0.706395 0.707818i \(-0.749680\pi\)
0.329330 0.944215i \(-0.393177\pi\)
\(240\) 12.5351 3.86658i 0.809140 0.249587i
\(241\) −6.13950 15.6432i −0.395480 1.00767i −0.980477 0.196632i \(-0.937000\pi\)
0.584997 0.811035i \(-0.301096\pi\)
\(242\) −35.4145 32.8599i −2.27653 2.11231i
\(243\) 14.7067 + 10.0268i 0.943432 + 0.643221i
\(244\) −6.16780 −0.394853
\(245\) −8.17815 + 1.38599i −0.522483 + 0.0885477i
\(246\) 30.1308 1.92107
\(247\) −4.62958 3.15640i −0.294573 0.200837i
\(248\) −7.56523 7.01951i −0.480393 0.445739i
\(249\) −4.71382 12.0106i −0.298726 0.761142i
\(250\) −17.4261 + 5.37523i −1.10212 + 0.339960i
\(251\) −2.42269 10.6145i −0.152919 0.669982i −0.992028 0.126019i \(-0.959780\pi\)
0.839109 0.543964i \(-0.183077\pi\)
\(252\) 2.36757 + 5.87402i 0.149143 + 0.370028i
\(253\) −3.53481 + 15.4870i −0.222232 + 0.973662i
\(254\) 0.227840 + 3.04031i 0.0142960 + 0.190766i
\(255\) −10.4441 3.22158i −0.654035 0.201743i
\(256\) 1.53437 20.4747i 0.0958981 1.27967i
\(257\) −0.977266 + 2.49003i −0.0609602 + 0.155324i −0.958109 0.286405i \(-0.907540\pi\)
0.897148 + 0.441729i \(0.145635\pi\)
\(258\) 16.3195 7.85907i 1.01601 0.489285i
\(259\) 10.3028 + 4.84605i 0.640183 + 0.301119i
\(260\) −1.28690 0.619740i −0.0798103 0.0384346i
\(261\) 12.6597 11.7465i 0.783616 0.727089i
\(262\) 10.3719 1.56332i 0.640781 0.0965822i
\(263\) 7.33508 12.7047i 0.452301 0.783408i −0.546228 0.837637i \(-0.683937\pi\)
0.998529 + 0.0542290i \(0.0172701\pi\)
\(264\) 9.78883 + 16.9548i 0.602461 + 1.04349i
\(265\) −0.976708 1.22475i −0.0599987 0.0752360i
\(266\) 26.2802 + 3.71577i 1.61134 + 0.227829i
\(267\) 18.6473 23.3830i 1.14120 1.43102i
\(268\) −9.74180 1.46834i −0.595075 0.0896931i
\(269\) −7.59262 + 5.17656i −0.462930 + 0.315620i −0.772229 0.635345i \(-0.780858\pi\)
0.309299 + 0.950965i \(0.399906\pi\)
\(270\) 3.96942 2.70631i 0.241571 0.164701i
\(271\) −23.5654 3.55192i −1.43150 0.215764i −0.612913 0.790150i \(-0.710003\pi\)
−0.818584 + 0.574386i \(0.805241\pi\)
\(272\) −12.7688 + 16.0116i −0.774225 + 0.970847i
\(273\) −2.10797 + 5.51882i −0.127580 + 0.334014i
\(274\) −0.776746 0.974008i −0.0469249 0.0588420i
\(275\) −11.0808 19.1926i −0.668199 1.15735i
\(276\) −3.46868 + 6.00794i −0.208790 + 0.361635i
\(277\) 24.9368 3.75862i 1.49831 0.225834i 0.651874 0.758327i \(-0.273983\pi\)
0.846434 + 0.532493i \(0.178745\pi\)
\(278\) −19.0527 + 17.6783i −1.14271 + 1.06028i
\(279\) 12.9793 + 6.25049i 0.777049 + 0.374207i
\(280\) −4.45993 + 0.0407650i −0.266532 + 0.00243618i
\(281\) −6.23067 + 3.00053i −0.371691 + 0.178997i −0.610398 0.792095i \(-0.708991\pi\)
0.238708 + 0.971091i \(0.423276\pi\)
\(282\) 6.85267 17.4603i 0.408070 1.03975i
\(283\) −1.69550 + 22.6249i −0.100787 + 1.34491i 0.685962 + 0.727637i \(0.259382\pi\)
−0.786749 + 0.617273i \(0.788237\pi\)
\(284\) 10.5794 + 3.26332i 0.627773 + 0.193642i
\(285\) 1.10792 + 14.7841i 0.0656274 + 0.875736i
\(286\) 2.45534 10.7576i 0.145187 0.636107i
\(287\) −19.1081 5.70334i −1.12792 0.336657i
\(288\) 2.66506 + 11.6764i 0.157040 + 0.688037i
\(289\) 0.0605396 0.0186740i 0.00356115 0.00109847i
\(290\) −6.74046 17.1744i −0.395813 1.00852i
\(291\) −8.87367 8.23357i −0.520184 0.482660i
\(292\) 1.25345 + 0.854588i 0.0733527 + 0.0500110i
\(293\) 26.7661 1.56369 0.781847 0.623470i \(-0.214278\pi\)
0.781847 + 0.623470i \(0.214278\pi\)
\(294\) −2.60098 27.8628i −0.151692 1.62499i
\(295\) −14.8943 −0.867180
\(296\) 5.05828 + 3.44868i 0.294007 + 0.200450i
\(297\) 10.2308 + 9.49280i 0.593652 + 0.550828i
\(298\) 10.4282 + 26.5706i 0.604088 + 1.53919i
\(299\) −2.46297 + 0.759726i −0.142437 + 0.0439361i
\(300\) −2.15363 9.43569i −0.124340 0.544770i
\(301\) −11.8370 + 1.89495i −0.682274 + 0.109223i
\(302\) −5.45702 + 23.9087i −0.314016 + 1.37579i
\(303\) 1.77526 + 23.6892i 0.101986 + 1.36091i
\(304\) 26.5455 + 8.18819i 1.52249 + 0.469625i
\(305\) −0.453108 + 6.04631i −0.0259449 + 0.346211i
\(306\) 5.36557 13.6713i 0.306729 0.781534i
\(307\) 22.9247 11.0400i 1.30838 0.630084i 0.355856 0.934541i \(-0.384189\pi\)
0.952526 + 0.304457i \(0.0984751\pi\)
\(308\) 4.54867 + 19.1217i 0.259184 + 1.08956i
\(309\) 5.50815 + 2.65259i 0.313348 + 0.150900i
\(310\) 11.2818 10.4680i 0.640762 0.594540i
\(311\) 18.5117 2.79020i 1.04970 0.158217i 0.398538 0.917152i \(-0.369518\pi\)
0.651167 + 0.758935i \(0.274280\pi\)
\(312\) −1.58829 + 2.75101i −0.0899194 + 0.155745i
\(313\) 7.58611 + 13.1395i 0.428792 + 0.742690i 0.996766 0.0803567i \(-0.0256059\pi\)
−0.567974 + 0.823046i \(0.692273\pi\)
\(314\) 4.92450 + 6.17513i 0.277906 + 0.348483i
\(315\) 5.93225 1.88940i 0.334244 0.106456i
\(316\) −5.76149 + 7.22468i −0.324109 + 0.406420i
\(317\) −17.0681 2.57260i −0.958638 0.144491i −0.348957 0.937139i \(-0.613464\pi\)
−0.609680 + 0.792647i \(0.708702\pi\)
\(318\) 4.36661 2.97711i 0.244868 0.166948i
\(319\) 44.2843 30.1925i 2.47944 1.69046i
\(320\) 1.03357 + 0.155786i 0.0577783 + 0.00870867i
\(321\) −26.0355 + 32.6475i −1.45316 + 1.82220i
\(322\) 8.87367 8.38579i 0.494510 0.467322i
\(323\) −14.4311 18.0960i −0.802965 1.00689i
\(324\) 6.63809 + 11.4975i 0.368783 + 0.638751i
\(325\) 1.79793 3.11410i 0.0997311 0.172739i
\(326\) −5.11422 + 0.770845i −0.283250 + 0.0426931i
\(327\) −22.3451 + 20.7332i −1.23569 + 1.14655i
\(328\) −9.66054 4.65227i −0.533414 0.256879i
\(329\) −7.65076 + 9.77573i −0.421800 + 0.538953i
\(330\) −26.3043 + 12.6675i −1.44800 + 0.697321i
\(331\) −6.28922 + 16.0247i −0.345687 + 0.880795i 0.647264 + 0.762266i \(0.275913\pi\)
−0.992951 + 0.118529i \(0.962182\pi\)
\(332\) 0.520512 6.94575i 0.0285668 0.381197i
\(333\) −8.16609 2.51891i −0.447499 0.138035i
\(334\) −2.52887 33.7454i −0.138374 1.84647i
\(335\) −2.15508 + 9.44204i −0.117745 + 0.515874i
\(336\) 1.92175 29.2261i 0.104840 1.59442i
\(337\) 3.97290 + 17.4064i 0.216417 + 0.948187i 0.960101 + 0.279655i \(0.0902199\pi\)
−0.743683 + 0.668532i \(0.766923\pi\)
\(338\) 1.71082 0.527718i 0.0930564 0.0287041i
\(339\) 12.1543 + 30.9686i 0.660130 + 1.68198i
\(340\) −4.32517 4.01317i −0.234565 0.217645i
\(341\) 36.9404 + 25.1855i 2.00043 + 1.36387i
\(342\) −19.9215 −1.07723
\(343\) −3.62456 + 18.1621i −0.195708 + 0.980662i
\(344\) −6.44584 −0.347536
\(345\) 5.63478 + 3.84172i 0.303366 + 0.206832i
\(346\) −0.640650 0.594437i −0.0344416 0.0319571i
\(347\) 0.621933 + 1.58466i 0.0333871 + 0.0850690i 0.946595 0.322425i \(-0.104498\pi\)
−0.913208 + 0.407494i \(0.866403\pi\)
\(348\) 22.3670 6.89929i 1.19899 0.369841i
\(349\) −0.272143 1.19234i −0.0145675 0.0638244i 0.967122 0.254314i \(-0.0818496\pi\)
−0.981689 + 0.190489i \(0.938992\pi\)
\(350\) −1.11758 + 16.9963i −0.0597373 + 0.908492i
\(351\) −0.503902 + 2.20774i −0.0268963 + 0.117840i
\(352\) 2.77771 + 37.0659i 0.148052 + 1.97562i
\(353\) 3.19441 + 0.985346i 0.170021 + 0.0524447i 0.378597 0.925562i \(-0.376407\pi\)
−0.208576 + 0.978006i \(0.566883\pi\)
\(354\) 3.75508 50.1081i 0.199580 2.66322i
\(355\) 3.97624 10.1313i 0.211037 0.537714i
\(356\) 14.5465 7.00521i 0.770961 0.371275i
\(357\) −15.0403 + 19.2176i −0.796015 + 1.01710i
\(358\) 11.7223 + 5.64515i 0.619542 + 0.298355i
\(359\) −15.4690 + 14.3532i −0.816424 + 0.757531i −0.973165 0.230109i \(-0.926092\pi\)
0.156741 + 0.987640i \(0.449901\pi\)
\(360\) 3.31028 0.498944i 0.174467 0.0262966i
\(361\) −6.19795 + 10.7352i −0.326208 + 0.565009i
\(362\) 7.39604 + 12.8103i 0.388727 + 0.673295i
\(363\) −37.5668 47.1073i −1.97175 2.47249i
\(364\) −2.31791 + 2.19047i −0.121491 + 0.114812i
\(365\) 0.929838 1.16598i 0.0486700 0.0610302i
\(366\) −20.2270 3.04874i −1.05728 0.159360i
\(367\) 19.3828 13.2150i 1.01178 0.689817i 0.0605033 0.998168i \(-0.480729\pi\)
0.951273 + 0.308351i \(0.0997771\pi\)
\(368\) 10.5582 7.19848i 0.550386 0.375247i
\(369\) 14.8002 + 2.23077i 0.770466 + 0.116129i
\(370\) −5.69223 + 7.13783i −0.295925 + 0.371078i
\(371\) −3.33271 + 1.06146i −0.173026 + 0.0551082i
\(372\) 12.1737 + 15.2654i 0.631179 + 0.791474i
\(373\) −1.36021 2.35596i −0.0704291 0.121987i 0.828660 0.559752i \(-0.189104\pi\)
−0.899089 + 0.437765i \(0.855770\pi\)
\(374\) 22.7899 39.4733i 1.17844 2.04112i
\(375\) −22.4898 + 3.38980i −1.16137 + 0.175048i
\(376\) −4.89302 + 4.54006i −0.252338 + 0.234136i
\(377\) 7.83527 + 3.77327i 0.403537 + 0.194333i
\(378\) −2.48239 10.4355i −0.127680 0.536743i
\(379\) 12.4586 5.99973i 0.639953 0.308185i −0.0856224 0.996328i \(-0.527288\pi\)
0.725576 + 0.688142i \(0.241574\pi\)
\(380\) −2.92396 + 7.45012i −0.149996 + 0.382183i
\(381\) −0.284157 + 3.79181i −0.0145578 + 0.194260i
\(382\) −2.54526 0.785109i −0.130227 0.0401696i
\(383\) 0.767295 + 10.2388i 0.0392069 + 0.523180i 0.981885 + 0.189477i \(0.0606793\pi\)
−0.942678 + 0.333703i \(0.891702\pi\)
\(384\) 5.20855 22.8202i 0.265798 1.16454i
\(385\) 19.0792 3.05432i 0.972366 0.155663i
\(386\) 10.4130 + 45.6221i 0.530005 + 2.32210i
\(387\) 8.59798 2.65213i 0.437060 0.134815i
\(388\) −2.38741 6.08303i −0.121203 0.308819i
\(389\) −27.7764 25.7727i −1.40832 1.30673i −0.893236 0.449588i \(-0.851571\pi\)
−0.515083 0.857140i \(-0.672239\pi\)
\(390\) −3.91401 2.66853i −0.198194 0.135126i
\(391\) −10.6470 −0.538443
\(392\) −3.46816 + 9.33497i −0.175168 + 0.471487i
\(393\) 13.0818 0.659888
\(394\) −1.26532 0.862680i −0.0637458 0.0434612i
\(395\) 6.65911 + 6.17875i 0.335056 + 0.310887i
\(396\) −5.38980 13.7330i −0.270848 0.690109i
\(397\) −4.52315 + 1.39521i −0.227010 + 0.0700235i −0.406174 0.913796i \(-0.633137\pi\)
0.179163 + 0.983819i \(0.442661\pi\)
\(398\) −4.94134 21.6494i −0.247687 1.08519i
\(399\) 31.7193 + 9.46748i 1.58795 + 0.473967i
\(400\) −3.96701 + 17.3806i −0.198350 + 0.869030i
\(401\) −1.32096 17.6270i −0.0659656 0.880249i −0.927804 0.373067i \(-0.878306\pi\)
0.861839 0.507182i \(-0.169313\pi\)
\(402\) −31.2220 9.63072i −1.55721 0.480337i
\(403\) −0.542115 + 7.23402i −0.0270047 + 0.360352i
\(404\) −4.68518 + 11.9376i −0.233096 + 0.593920i
\(405\) 11.7587 5.66269i 0.584294 0.281381i
\(406\) −41.1923 + 0.376509i −2.04434 + 0.0186858i
\(407\) −23.8955 11.5075i −1.18446 0.570404i
\(408\) −9.61895 + 8.92508i −0.476209 + 0.441857i
\(409\) 22.4781 3.38803i 1.11147 0.167527i 0.432458 0.901654i \(-0.357646\pi\)
0.679013 + 0.734127i \(0.262408\pi\)
\(410\) 7.99497 13.8477i 0.394844 0.683889i
\(411\) −0.776869 1.34558i −0.0383201 0.0663724i
\(412\) 2.05772 + 2.58030i 0.101377 + 0.127122i
\(413\) −11.8661 + 31.0664i −0.583894 + 1.52868i
\(414\) −5.71361 + 7.16464i −0.280809 + 0.352123i
\(415\) −6.77069 1.02052i −0.332360 0.0500953i
\(416\) −4.98306 + 3.39740i −0.244315 + 0.166571i
\(417\) −26.7828 + 18.2602i −1.31156 + 0.894206i
\(418\) −61.1363 9.21482i −2.99028 0.450712i
\(419\) −18.9334 + 23.7417i −0.924955 + 1.15986i 0.0618733 + 0.998084i \(0.480293\pi\)
−0.986828 + 0.161773i \(0.948279\pi\)
\(420\) 8.35518 + 1.18134i 0.407691 + 0.0576437i
\(421\) 4.85815 + 6.09193i 0.236772 + 0.296903i 0.885994 0.463696i \(-0.153477\pi\)
−0.649222 + 0.760599i \(0.724906\pi\)
\(422\) 16.7078 + 28.9387i 0.813323 + 1.40872i
\(423\) 4.65871 8.06912i 0.226514 0.392334i
\(424\) −1.85970 + 0.280305i −0.0903150 + 0.0136128i
\(425\) 10.8885 10.1031i 0.528171 0.490071i
\(426\) 33.0817 + 15.9313i 1.60281 + 0.771875i
\(427\) 12.2503 + 5.76212i 0.592836 + 0.278849i
\(428\) −20.3098 + 9.78071i −0.981714 + 0.472768i
\(429\) 5.02768 12.8103i 0.242739 0.618488i
\(430\) 0.718341 9.58559i 0.0346415 0.462258i
\(431\) −23.0543 7.11131i −1.11049 0.342540i −0.315353 0.948974i \(-0.602123\pi\)
−0.795133 + 0.606435i \(0.792599\pi\)
\(432\) −0.838997 11.1956i −0.0403663 0.538651i
\(433\) 8.50818 37.2768i 0.408877 1.79141i −0.180527 0.983570i \(-0.557780\pi\)
0.589404 0.807838i \(-0.299362\pi\)
\(434\) −12.8459 31.8711i −0.616623 1.52986i
\(435\) −5.12024 22.4332i −0.245497 1.07559i
\(436\) −15.7243 + 4.85031i −0.753058 + 0.232288i
\(437\) 5.27631 + 13.4438i 0.252400 + 0.643106i
\(438\) 3.68822 + 3.42217i 0.176230 + 0.163518i
\(439\) 17.6062 + 12.0037i 0.840298 + 0.572906i 0.905200 0.424986i \(-0.139721\pi\)
−0.0649016 + 0.997892i \(0.520673\pi\)
\(440\) 10.3896 0.495303
\(441\) 0.785257 13.8787i 0.0373932 0.660890i
\(442\) 7.39559 0.351773
\(443\) 32.9649 + 22.4751i 1.56621 + 1.06782i 0.962736 + 0.270442i \(0.0871700\pi\)
0.603475 + 0.797382i \(0.293782\pi\)
\(444\) −8.49063 7.87815i −0.402947 0.373880i
\(445\) −5.79859 14.7746i −0.274880 0.700382i
\(446\) 12.5809 3.88068i 0.595721 0.183756i
\(447\) 7.92154 + 34.7065i 0.374676 + 1.64156i
\(448\) 1.14837 2.03170i 0.0542554 0.0959886i
\(449\) 1.69735 7.43660i 0.0801031 0.350955i −0.918954 0.394364i \(-0.870965\pi\)
0.999057 + 0.0434094i \(0.0138220\pi\)
\(450\) −0.955395 12.7489i −0.0450378 0.600987i
\(451\) 44.3878 + 13.6918i 2.09014 + 0.644723i
\(452\) −1.34211 + 17.9092i −0.0631274 + 0.842376i
\(453\) −11.1741 + 28.4710i −0.525003 + 1.33769i
\(454\) 11.8694 5.71601i 0.557059 0.268265i
\(455\) 1.97704 + 2.43317i 0.0926851 + 0.114069i
\(456\) 16.0364 + 7.72273i 0.750974 + 0.361650i
\(457\) −8.52377 + 7.90890i −0.398725 + 0.369963i −0.853898 0.520440i \(-0.825768\pi\)
0.455173 + 0.890403i \(0.349577\pi\)
\(458\) −3.38429 + 0.510100i −0.158138 + 0.0238354i
\(459\) −4.67711 + 8.10099i −0.218309 + 0.378122i
\(460\) 1.84078 + 3.18832i 0.0858267 + 0.148656i
\(461\) 9.84948 + 12.3509i 0.458736 + 0.575237i 0.956373 0.292149i \(-0.0943702\pi\)
−0.497637 + 0.867385i \(0.665799\pi\)
\(462\) 5.46534 + 64.9572i 0.254271 + 3.02208i
\(463\) −2.70346 + 3.39003i −0.125640 + 0.157548i −0.840673 0.541543i \(-0.817840\pi\)
0.715033 + 0.699091i \(0.246412\pi\)
\(464\) −42.6340 6.42604i −1.97923 0.298322i
\(465\) 15.8590 10.8125i 0.735445 0.501418i
\(466\) −21.8326 + 14.8852i −1.01138 + 0.689545i
\(467\) 4.53330 + 0.683286i 0.209776 + 0.0316187i 0.253090 0.967443i \(-0.418553\pi\)
−0.0433133 + 0.999062i \(0.513791\pi\)
\(468\) 1.49246 1.87149i 0.0689892 0.0865097i
\(469\) 17.9772 + 12.0174i 0.830109 + 0.554913i
\(470\) −6.20622 7.78236i −0.286272 0.358973i
\(471\) 4.92528 + 8.53084i 0.226945 + 0.393080i
\(472\) −8.94078 + 15.4859i −0.411533 + 0.712796i
\(473\) 27.6128 4.16196i 1.26964 0.191367i
\(474\) −22.4657 + 20.8451i −1.03189 + 0.957449i
\(475\) −18.1530 8.74202i −0.832917 0.401112i
\(476\) −11.8164 + 5.82414i −0.541606 + 0.266949i
\(477\) 2.36529 1.13906i 0.108299 0.0521540i
\(478\) 17.1350 43.6593i 0.783737 1.99693i
\(479\) 2.36456 31.5529i 0.108040 1.44169i −0.635037 0.772481i \(-0.719015\pi\)
0.743077 0.669206i \(-0.233366\pi\)
\(480\) 15.2486 + 4.70357i 0.696000 + 0.214688i
\(481\) −0.321589 4.29131i −0.0146632 0.195667i
\(482\) 6.69494 29.3324i 0.304946 1.33606i
\(483\) 12.5022 8.69230i 0.568870 0.395513i
\(484\) −7.23779 31.7108i −0.328991 1.44140i
\(485\) −6.13860 + 1.89351i −0.278739 + 0.0859797i
\(486\) 11.6425 + 29.6647i 0.528116 + 1.34562i
\(487\) −4.70108 4.36196i −0.213026 0.197659i 0.566441 0.824102i \(-0.308320\pi\)
−0.779468 + 0.626443i \(0.784510\pi\)
\(488\) 6.01447 + 4.10060i 0.272262 + 0.185625i
\(489\) −6.45039 −0.291697
\(490\) −13.4955 6.19780i −0.609665 0.279988i
\(491\) −12.6749 −0.572012 −0.286006 0.958228i \(-0.592328\pi\)
−0.286006 + 0.958228i \(0.592328\pi\)
\(492\) 16.7612 + 11.4276i 0.755653 + 0.515195i
\(493\) 26.3336 + 24.4341i 1.18601 + 1.10045i
\(494\) −3.66502 9.33831i −0.164897 0.420150i
\(495\) −13.8584 + 4.27476i −0.622891 + 0.192136i
\(496\) −8.00307 35.0638i −0.359349 1.57441i
\(497\) −17.9639 16.3651i −0.805793 0.734076i
\(498\) 5.14027 22.5210i 0.230341 1.00919i
\(499\) −2.40106 32.0399i −0.107486 1.43430i −0.746642 0.665227i \(-0.768335\pi\)
0.639155 0.769078i \(-0.279284\pi\)
\(500\) −11.7324 3.61898i −0.524691 0.161846i
\(501\) 3.15395 42.0865i 0.140908 1.88029i
\(502\) 7.12143 18.1451i 0.317845 0.809856i
\(503\) −22.9745 + 11.0639i −1.02438 + 0.493316i −0.869143 0.494562i \(-0.835329\pi\)
−0.155238 + 0.987877i \(0.549614\pi\)
\(504\) 1.59657 7.30205i 0.0711169 0.325259i
\(505\) 11.3583 + 5.46987i 0.505438 + 0.243406i
\(506\) −20.8483 + 19.3444i −0.926821 + 0.859965i
\(507\) 2.20796 0.332796i 0.0980590 0.0147800i
\(508\) −1.02635 + 1.77768i −0.0455367 + 0.0788719i
\(509\) −8.94995 15.5018i −0.396700 0.687104i 0.596617 0.802526i \(-0.296511\pi\)
−0.993317 + 0.115422i \(0.963178\pi\)
\(510\) −12.2005 15.2989i −0.540247 0.677449i
\(511\) −1.69120 2.86837i −0.0748142 0.126889i
\(512\) 9.84766 12.3486i 0.435209 0.545735i
\(513\) 12.5468 + 1.89113i 0.553955 + 0.0834953i
\(514\) −3.95695 + 2.69780i −0.174534 + 0.118995i
\(515\) 2.68064 1.82763i 0.118123 0.0805350i
\(516\) 12.0589 + 1.81759i 0.530865 + 0.0800150i
\(517\) 18.0294 22.6081i 0.792931 0.994303i
\(518\) 10.3531 + 17.5594i 0.454888 + 0.771517i
\(519\) −0.679586 0.852173i −0.0298305 0.0374063i
\(520\) 0.842884 + 1.45992i 0.0369629 + 0.0640216i
\(521\) 18.6377 32.2814i 0.816531 1.41427i −0.0916931 0.995787i \(-0.529228\pi\)
0.908224 0.418485i \(-0.137439\pi\)
\(522\) 30.5740 4.60828i 1.33819 0.201699i
\(523\) −21.8149 + 20.2412i −0.953898 + 0.885088i −0.993466 0.114129i \(-0.963592\pi\)
0.0395683 + 0.999217i \(0.487402\pi\)
\(524\) 6.36263 + 3.06408i 0.277953 + 0.133855i
\(525\) −4.53757 + 20.7529i −0.198036 + 0.905733i
\(526\) 23.6639 11.3959i 1.03179 0.496886i
\(527\) −10.9478 + 27.8945i −0.476893 + 1.21510i
\(528\) −5.09865 + 68.0367i −0.221890 + 2.96092i
\(529\) −15.6299 4.82119i −0.679561 0.209617i
\(530\) −0.209591 2.79679i −0.00910403 0.121485i
\(531\) 5.55430 24.3350i 0.241036 1.05605i
\(532\) 13.2099 + 12.0342i 0.572722 + 0.521748i
\(533\) 1.67715 + 7.34806i 0.0726453 + 0.318280i
\(534\) 51.1672 15.7830i 2.21422 0.682997i
\(535\) 8.09602 + 20.6283i 0.350021 + 0.891840i
\(536\) 8.52341 + 7.90857i 0.368155 + 0.341598i
\(537\) 13.4071 + 9.14083i 0.578561 + 0.394456i
\(538\) −16.4523 −0.709309
\(539\) 8.82953 42.2286i 0.380315 1.81891i
\(540\) 3.23453 0.139192
\(541\) 3.25841 + 2.22154i 0.140090 + 0.0955116i 0.631337 0.775509i \(-0.282506\pi\)
−0.491247 + 0.871020i \(0.663459\pi\)
\(542\) −31.2773 29.0211i −1.34347 1.24656i
\(543\) 6.73994 + 17.1731i 0.289238 + 0.736967i
\(544\) −23.8060 + 7.34319i −1.02067 + 0.314837i
\(545\) 3.59961 + 15.7709i 0.154190 + 0.675551i
\(546\) −8.68424 + 6.03781i −0.371651 + 0.258395i
\(547\) 7.78063 34.0892i 0.332676 1.45755i −0.481252 0.876582i \(-0.659818\pi\)
0.813928 0.580966i \(-0.197325\pi\)
\(548\) −0.0626807 0.836416i −0.00267759 0.0357299i
\(549\) −9.70976 2.99507i −0.414403 0.127826i
\(550\) 2.96509 39.5664i 0.126432 1.68712i
\(551\) 17.8024 45.3598i 0.758409 1.93239i
\(552\) 7.37677 3.55247i 0.313976 0.151203i
\(553\) 18.1928 8.96697i 0.773638 0.381314i
\(554\) 40.6790 + 19.5900i 1.72828 + 0.832297i
\(555\) −8.34672 + 7.74463i −0.354299 + 0.328741i
\(556\) −17.3035 + 2.60808i −0.733830 + 0.110607i
\(557\) −12.8955 + 22.3356i −0.546398 + 0.946389i 0.452119 + 0.891957i \(0.350668\pi\)
−0.998517 + 0.0544319i \(0.982665\pi\)
\(558\) 12.8959 + 22.3363i 0.545927 + 0.945573i
\(559\) 2.82499 + 3.54243i 0.119484 + 0.149829i
\(560\) −12.9220 8.63815i −0.546055 0.365028i
\(561\) 35.4430 44.4442i 1.49641 1.87643i
\(562\) −12.2430 1.84534i −0.516440 0.0778408i
\(563\) −8.28793 + 5.65062i −0.349295 + 0.238145i −0.725239 0.688497i \(-0.758271\pi\)
0.375944 + 0.926642i \(0.377318\pi\)
\(564\) 10.4341 7.11386i 0.439355 0.299548i
\(565\) 17.4578 + 2.63134i 0.734456 + 0.110701i
\(566\) −25.3264 + 31.7582i −1.06455 + 1.33490i
\(567\) −2.44315 29.0376i −0.102603 1.21946i
\(568\) −8.14684 10.2158i −0.341834 0.428646i
\(569\) −12.4507 21.5652i −0.521960 0.904061i −0.999674 0.0255458i \(-0.991868\pi\)
0.477714 0.878516i \(-0.341466\pi\)
\(570\) −13.2716 + 22.9871i −0.555885 + 0.962822i
\(571\) −2.99912 + 0.452044i −0.125509 + 0.0189175i −0.211496 0.977379i \(-0.567834\pi\)
0.0859872 + 0.996296i \(0.472596\pi\)
\(572\) 5.44584 5.05300i 0.227702 0.211276i
\(573\) −2.99300 1.44135i −0.125034 0.0602133i
\(574\) −22.5139 27.7082i −0.939712 1.15652i
\(575\) −8.35041 + 4.02134i −0.348236 + 0.167702i
\(576\) −0.639963 + 1.63060i −0.0266651 + 0.0679416i
\(577\) 0.0498136 0.664717i 0.00207377 0.0276725i −0.996071 0.0885592i \(-0.971774\pi\)
0.998145 + 0.0608866i \(0.0193928\pi\)
\(578\) 0.108388 + 0.0334332i 0.00450834 + 0.00139064i
\(579\) 4.36141 + 58.1990i 0.181254 + 2.41867i
\(580\) 2.76408 12.1102i 0.114772 0.502850i
\(581\) −7.52273 + 13.3092i −0.312095 + 0.552159i
\(582\) −4.82259 21.1292i −0.199903 0.875832i
\(583\) 7.78562 2.40154i 0.322447 0.0994618i
\(584\) −0.654127 1.66669i −0.0270680 0.0689681i
\(585\) −1.72499 1.60055i −0.0713194 0.0661747i
\(586\) 39.5943 + 26.9949i 1.63562 + 1.11515i
\(587\) −21.5817 −0.890772 −0.445386 0.895339i \(-0.646934\pi\)
−0.445386 + 0.895339i \(0.646934\pi\)
\(588\) 9.12053 16.4860i 0.376124 0.679871i
\(589\) 40.6474 1.67485
\(590\) −22.0326 15.0216i −0.907069 0.618429i
\(591\) −1.40009 1.29910i −0.0575922 0.0534378i
\(592\) 7.79461 + 19.8603i 0.320357 + 0.816255i
\(593\) 20.0969 6.19908i 0.825282 0.254566i 0.146785 0.989168i \(-0.453108\pi\)
0.678498 + 0.734603i \(0.262631\pi\)
\(594\) 5.56015 + 24.3606i 0.228136 + 0.999529i
\(595\) 4.84134 + 12.0116i 0.198476 + 0.492426i
\(596\) −4.27632 + 18.7358i −0.175165 + 0.767447i
\(597\) −2.06965 27.6176i −0.0847053 1.13031i
\(598\) −4.40961 1.36019i −0.180322 0.0556221i
\(599\) 0.114767 1.53147i 0.00468927 0.0625740i −0.994368 0.105980i \(-0.966202\pi\)
0.999058 + 0.0434063i \(0.0138210\pi\)
\(600\) −4.17312 + 10.6329i −0.170367 + 0.434088i
\(601\) −9.86951 + 4.75291i −0.402586 + 0.193875i −0.624209 0.781257i \(-0.714579\pi\)
0.221623 + 0.975132i \(0.428864\pi\)
\(602\) −19.4212 9.13505i −0.791551 0.372317i
\(603\) −14.6232 7.04215i −0.595502 0.286778i
\(604\) −12.1034 + 11.2303i −0.492481 + 0.456956i
\(605\) −31.6179 + 4.76564i −1.28545 + 0.193751i
\(606\) −21.2656 + 36.8331i −0.863857 + 1.49624i
\(607\) 3.66462 + 6.34731i 0.148742 + 0.257629i 0.930763 0.365623i \(-0.119144\pi\)
−0.782020 + 0.623253i \(0.785811\pi\)
\(608\) 21.0696 + 26.4205i 0.854486 + 1.07149i
\(609\) −50.8703 7.19258i −2.06137 0.291458i
\(610\) −6.76825 + 8.48712i −0.274039 + 0.343633i
\(611\) 4.63952 + 0.699295i 0.187695 + 0.0282905i
\(612\) 8.16981 5.57008i 0.330245 0.225157i
\(613\) −7.22624 + 4.92677i −0.291865 + 0.198990i −0.700396 0.713754i \(-0.746993\pi\)
0.408531 + 0.912744i \(0.366041\pi\)
\(614\) 45.0461 + 6.78960i 1.81791 + 0.274006i
\(615\) 12.4338 15.5915i 0.501380 0.628711i
\(616\) 8.27727 21.6705i 0.333501 0.873128i
\(617\) −16.5802 20.7909i −0.667494 0.837011i 0.326642 0.945148i \(-0.394083\pi\)
−0.994136 + 0.108137i \(0.965512\pi\)
\(618\) 5.47277 + 9.47911i 0.220147 + 0.381306i
\(619\) 5.17008 8.95485i 0.207803 0.359926i −0.743219 0.669048i \(-0.766702\pi\)
0.951022 + 0.309123i \(0.100035\pi\)
\(620\) 10.2460 1.54433i 0.411489 0.0620219i
\(621\) 4.27864 3.97000i 0.171696 0.159310i
\(622\) 30.1978 + 14.5425i 1.21082 + 0.583102i
\(623\) −35.4363 + 0.323898i −1.41973 + 0.0129767i
\(624\) −9.97399 + 4.80322i −0.399279 + 0.192283i
\(625\) 2.15896 5.50094i 0.0863585 0.220038i
\(626\) −2.02995 + 27.0878i −0.0811331 + 1.08265i
\(627\) −73.6834 22.7283i −2.94263 0.907681i
\(628\) 0.397390 + 5.30280i 0.0158576 + 0.211605i
\(629\) 3.95557 17.3305i 0.157719 0.691012i
\(630\) 10.6809 + 3.18801i 0.425538 + 0.127014i
\(631\) −9.68765 42.4444i −0.385659 1.68968i −0.679375 0.733791i \(-0.737749\pi\)
0.293716 0.955893i \(-0.405108\pi\)
\(632\) 10.4215 3.21461i 0.414546 0.127870i
\(633\) 15.2257 + 38.7943i 0.605165 + 1.54194i
\(634\) −22.6536 21.0195i −0.899690 0.834791i
\(635\) 1.66727 + 1.13672i 0.0661635 + 0.0451095i
\(636\) 3.55818 0.141091
\(637\) 6.65018 2.18521i 0.263490 0.0865812i
\(638\) 95.9589 3.79905
\(639\) 15.0702 + 10.2747i 0.596167 + 0.406460i
\(640\) −9.10579 8.44894i −0.359938 0.333974i
\(641\) 13.2389 + 33.7323i 0.522907 + 1.33235i 0.911638 + 0.410994i \(0.134818\pi\)
−0.388731 + 0.921351i \(0.627087\pi\)
\(642\) −71.4399 + 22.0363i −2.81951 + 0.869703i
\(643\) −8.40773 36.8367i −0.331569 1.45270i −0.816094 0.577920i \(-0.803865\pi\)
0.484525 0.874778i \(-0.338993\pi\)
\(644\) 8.11670 1.29938i 0.319843 0.0512026i
\(645\) 2.66768 11.6879i 0.105040 0.460210i
\(646\) −3.09674 41.3232i −0.121840 1.62584i
\(647\) −27.3723 8.44322i −1.07611 0.331937i −0.294469 0.955661i \(-0.595143\pi\)
−0.781645 + 0.623724i \(0.785619\pi\)
\(648\) 1.17093 15.6250i 0.0459984 0.613806i
\(649\) 28.3017 72.1116i 1.11094 2.83063i
\(650\) 5.80033 2.79329i 0.227508 0.109562i
\(651\) −9.91790 41.6928i −0.388713 1.63407i
\(652\) −3.13730 1.51084i −0.122866 0.0591692i
\(653\) −8.61912 + 7.99737i −0.337292 + 0.312961i −0.830574 0.556908i \(-0.811988\pi\)
0.493282 + 0.869869i \(0.335797\pi\)
\(654\) −53.9647 + 8.13388i −2.11019 + 0.318060i
\(655\) 3.47115 6.01221i 0.135629 0.234916i
\(656\) −18.6836 32.3609i −0.729471 1.26348i
\(657\) 1.55828 + 1.95402i 0.0607944 + 0.0762337i
\(658\) −21.1768 + 6.74476i −0.825558 + 0.262938i
\(659\) 6.78970 8.51402i 0.264489 0.331659i −0.631798 0.775133i \(-0.717683\pi\)
0.896287 + 0.443474i \(0.146254\pi\)
\(660\) −19.4369 2.92964i −0.756581 0.114036i
\(661\) −10.2214 + 6.96881i −0.397565 + 0.271055i −0.745557 0.666442i \(-0.767816\pi\)
0.347991 + 0.937498i \(0.386864\pi\)
\(662\) −25.4651 + 17.3618i −0.989728 + 0.674785i
\(663\) 9.12060 + 1.37471i 0.354215 + 0.0533893i
\(664\) −5.12538 + 6.42702i −0.198903 + 0.249417i
\(665\) 12.7676 12.0656i 0.495106 0.467885i
\(666\) −9.53939 11.9620i −0.369644 0.463519i
\(667\) −11.2075 19.4120i −0.433957 0.751636i
\(668\) 11.3917 19.7311i 0.440759 0.763418i
\(669\) 16.2367 2.44729i 0.627746 0.0946175i
\(670\) −12.7107 + 11.7938i −0.491056 + 0.455634i
\(671\) −28.4125 13.6828i −1.09685 0.528217i
\(672\) 21.9591 28.0581i 0.847090 1.08236i
\(673\) −29.5518 + 14.2314i −1.13914 + 0.548581i −0.905754 0.423804i \(-0.860695\pi\)
−0.233385 + 0.972384i \(0.574980\pi\)
\(674\) −11.6782 + 29.7555i −0.449827 + 1.14614i
\(675\) −0.608517 + 8.12009i −0.0234218 + 0.312543i
\(676\) 1.15184 + 0.355297i 0.0443017 + 0.0136653i
\(677\) −0.232781 3.10624i −0.00894649 0.119383i 0.990942 0.134287i \(-0.0428745\pi\)
−0.999889 + 0.0149048i \(0.995255\pi\)
\(678\) −13.2539 + 58.0690i −0.509012 + 2.23013i
\(679\) −0.941100 + 14.3124i −0.0361161 + 0.549259i
\(680\) 1.54953 + 6.78895i 0.0594219 + 0.260344i
\(681\) 15.7004 4.84294i 0.601642 0.185582i
\(682\) 29.2439 + 74.5122i 1.11981 + 2.85322i
\(683\) −7.26396 6.73997i −0.277948 0.257898i 0.528864 0.848707i \(-0.322618\pi\)
−0.806812 + 0.590809i \(0.798809\pi\)
\(684\) −11.0820 7.55555i −0.423729 0.288894i
\(685\) −0.824546 −0.0315043
\(686\) −23.6790 + 23.2111i −0.904070 + 0.886203i
\(687\) −4.26849 −0.162853
\(688\) −18.5602 12.6542i −0.707603 0.482435i
\(689\) 0.969090 + 0.899184i 0.0369194 + 0.0342562i
\(690\) 4.46078 + 11.3659i 0.169819 + 0.432691i
\(691\) −12.4999 + 3.85570i −0.475517 + 0.146678i −0.523244 0.852183i \(-0.675278\pi\)
0.0477270 + 0.998860i \(0.484802\pi\)
\(692\) −0.130932 0.573651i −0.00497729 0.0218069i
\(693\) −2.12462 + 32.3115i −0.0807076 + 1.22741i
\(694\) −0.678199 + 2.97138i −0.0257441 + 0.112792i
\(695\) 1.28553 + 17.1542i 0.0487630 + 0.650697i
\(696\) −26.3979 8.14266i −1.00061 0.308647i
\(697\) −2.32663 + 31.0468i −0.0881275 + 1.17598i
\(698\) 0.799956 2.03826i 0.0302788 0.0771491i
\(699\) −29.6919 + 14.2989i −1.12305 + 0.540834i
\(700\) −7.06782 + 9.03088i −0.267139 + 0.341335i
\(701\) 30.1408 + 14.5150i 1.13840 + 0.548225i 0.905530 0.424283i \(-0.139474\pi\)
0.232871 + 0.972508i \(0.425188\pi\)
\(702\) −2.97201 + 2.75762i −0.112171 + 0.104080i
\(703\) −23.8432 + 3.59378i −0.899263 + 0.135542i
\(704\) −2.71820 + 4.70806i −0.102446 + 0.177442i
\(705\) −6.20721 10.7512i −0.233777 0.404914i
\(706\) 3.73162 + 4.67930i 0.140441 + 0.176108i
\(707\) 20.4581 19.3333i 0.769405 0.727102i
\(708\) 21.0932 26.4500i 0.792731 0.994053i
\(709\) 7.10497 + 1.07090i 0.266833 + 0.0402186i 0.281096 0.959680i \(-0.409302\pi\)
−0.0142631 + 0.999898i \(0.504540\pi\)
\(710\) 16.0998 10.9767i 0.604215 0.411947i
\(711\) −12.5784 + 8.57582i −0.471727 + 0.321618i
\(712\) −18.8422 2.84000i −0.706141 0.106434i
\(713\) 11.6579 14.6186i 0.436592 0.547470i
\(714\) −41.6304 + 13.2592i −1.55798 + 0.496212i
\(715\) −4.55340 5.70978i −0.170287 0.213534i
\(716\) 4.37987 + 7.58615i 0.163683 + 0.283508i
\(717\) 29.2472 50.6576i 1.09226 1.89184i
\(718\) −37.3587 + 5.63091i −1.39421 + 0.210144i
\(719\) −22.1727 + 20.5732i −0.826902 + 0.767253i −0.975114 0.221703i \(-0.928839\pi\)
0.148213 + 0.988956i \(0.452648\pi\)
\(720\) 10.5112 + 5.06191i 0.391728 + 0.188646i
\(721\) −1.67641 7.04731i −0.0624329 0.262455i
\(722\) −19.9953 + 9.62925i −0.744149 + 0.358363i
\(723\) 13.7089 34.9297i 0.509839 1.29905i
\(724\) −0.744241 + 9.93120i −0.0276595 + 0.369090i
\(725\) 29.8820 + 9.21738i 1.10979 + 0.342325i
\(726\) −8.06141 107.572i −0.299187 3.99237i
\(727\) 4.53247 19.8581i 0.168100 0.736495i −0.818656 0.574284i \(-0.805280\pi\)
0.986756 0.162211i \(-0.0518624\pi\)
\(728\) 3.71660 0.594978i 0.137746 0.0220513i
\(729\) 1.49149 + 6.53463i 0.0552402 + 0.242023i
\(730\) 2.55142 0.787010i 0.0944325 0.0291286i
\(731\) 6.83783 + 17.4225i 0.252906 + 0.644395i
\(732\) −10.0956 9.36739i −0.373146 0.346229i
\(733\) −4.24637 2.89512i −0.156843 0.106934i 0.482355 0.875976i \(-0.339781\pi\)
−0.639199 + 0.769042i \(0.720734\pi\)
\(734\) 42.0003 1.55026
\(735\) −15.4912 10.1520i −0.571403 0.374462i
\(736\) 15.5449 0.572991
\(737\) −41.6191 28.3754i −1.53306 1.04522i
\(738\) 19.6436 + 18.2266i 0.723090 + 0.670929i
\(739\) 3.31620 + 8.44953i 0.121988 + 0.310821i 0.978803 0.204803i \(-0.0656554\pi\)
−0.856815 + 0.515624i \(0.827560\pi\)
\(740\) −5.87362 + 1.81177i −0.215918 + 0.0666020i
\(741\) −2.78405 12.1977i −0.102275 0.448094i
\(742\) −6.00050 1.79101i −0.220285 0.0657502i
\(743\) 6.47969 28.3894i 0.237717 1.04151i −0.705339 0.708870i \(-0.749205\pi\)
0.943056 0.332635i \(-0.107938\pi\)
\(744\) −1.72208 22.9795i −0.0631344 0.842469i
\(745\) 18.0526 + 5.56848i 0.661395 + 0.204013i
\(746\) 0.363976 4.85693i 0.0133261 0.177825i
\(747\) 4.19226 10.6817i 0.153387 0.390823i
\(748\) 27.6485 13.3148i 1.01093 0.486838i
\(749\) 49.4764 0.452228i 1.80783 0.0165240i
\(750\) −36.6872 17.6676i −1.33963 0.645131i
\(751\) 31.5108 29.2377i 1.14984 1.06690i 0.152943 0.988235i \(-0.451125\pi\)
0.996901 0.0786648i \(-0.0250657\pi\)
\(752\) −23.0019 + 3.46697i −0.838792 + 0.126428i
\(753\) 12.1553 21.0537i 0.442965 0.767238i
\(754\) 7.78494 + 13.4839i 0.283511 + 0.491055i
\(755\) 10.1200 + 12.6900i 0.368303 + 0.461837i
\(756\) 2.57692 6.74655i 0.0937215 0.245370i
\(757\) −3.53671 + 4.43490i −0.128544 + 0.161189i −0.841938 0.539574i \(-0.818585\pi\)
0.713394 + 0.700763i \(0.247157\pi\)
\(758\) 24.4805 + 3.68985i 0.889173 + 0.134021i
\(759\) −29.3069 + 19.9811i −1.06377 + 0.725269i
\(760\) 7.80440 5.32095i 0.283095 0.193011i
\(761\) 36.9158 + 5.56416i 1.33820 + 0.201701i 0.778838 0.627225i \(-0.215809\pi\)
0.559359 + 0.828926i \(0.311047\pi\)
\(762\) −4.24456 + 5.32252i −0.153764 + 0.192814i
\(763\) 35.7626 + 5.05650i 1.29469 + 0.183057i
\(764\) −1.11812 1.40207i −0.0404520 0.0507252i
\(765\) −4.86019 8.41809i −0.175720 0.304357i
\(766\) −9.19132 + 15.9198i −0.332096 + 0.575207i
\(767\) 12.4290 1.87337i 0.448785 0.0676435i
\(768\) 33.6077 31.1834i 1.21271 1.12523i
\(769\) 11.4903 + 5.53344i 0.414351 + 0.199541i 0.629432 0.777055i \(-0.283287\pi\)
−0.215081 + 0.976596i \(0.569002\pi\)
\(770\) 31.3037 + 14.7241i 1.12811 + 0.530620i
\(771\) −5.38138 + 2.59153i −0.193806 + 0.0933318i
\(772\) −11.5104 + 29.3280i −0.414268 + 1.05554i
\(773\) −3.71861 + 49.6214i −0.133749 + 1.78476i