Properties

Label 177.2.f.a.77.1
Level $177$
Weight $2$
Character 177.77
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 77.1
Character \(\chi\) \(=\) 177.77
Dual form 177.2.f.a.23.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.88771 - 1.78814i) q^{2} +(-1.60218 + 0.658044i) q^{3} +(0.257749 + 4.75391i) q^{4} +(-3.64954 + 0.598312i) q^{5} +(4.20113 + 1.62272i) q^{6} +(-0.920260 - 1.73579i) q^{7} +(4.64745 - 5.47140i) q^{8} +(2.13396 - 2.10861i) q^{9} +O(q^{10})\) \(q+(-1.88771 - 1.78814i) q^{2} +(-1.60218 + 0.658044i) q^{3} +(0.257749 + 4.75391i) q^{4} +(-3.64954 + 0.598312i) q^{5} +(4.20113 + 1.62272i) q^{6} +(-0.920260 - 1.73579i) q^{7} +(4.64745 - 5.47140i) q^{8} +(2.13396 - 2.10861i) q^{9} +(7.95915 + 5.39644i) q^{10} +(5.58591 + 0.607504i) q^{11} +(-3.54124 - 7.44700i) q^{12} +(0.293437 + 0.634254i) q^{13} +(-1.36665 + 4.92223i) q^{14} +(5.45351 - 3.36016i) q^{15} +(-9.09068 + 0.988672i) q^{16} +(0.992908 + 0.526407i) q^{17} +(-7.79878 + 0.164644i) q^{18} +(0.211729 + 0.127393i) q^{19} +(-3.78499 - 17.1954i) q^{20} +(2.61665 + 2.17548i) q^{21} +(-9.45829 - 11.1352i) q^{22} +(-1.25446 + 3.14845i) q^{23} +(-3.84562 + 11.8244i) q^{24} +(8.22293 - 2.77063i) q^{25} +(0.580207 - 1.72199i) q^{26} +(-2.03142 + 4.78261i) q^{27} +(8.01461 - 4.82223i) q^{28} +(3.31532 + 3.49994i) q^{29} +(-16.3031 - 3.40859i) q^{30} +(-0.316746 - 0.526437i) q^{31} +(7.49852 + 5.70022i) q^{32} +(-9.34939 + 2.70244i) q^{33} +(-0.933039 - 2.76916i) q^{34} +(4.39708 + 5.78426i) q^{35} +(10.5742 + 9.60114i) q^{36} +(3.47371 - 2.95060i) q^{37} +(-0.171887 - 0.619080i) q^{38} +(-0.887505 - 0.823093i) q^{39} +(-13.6875 + 22.7487i) q^{40} +(6.17403 - 2.45996i) q^{41} +(-1.04943 - 8.78561i) q^{42} +(0.785821 + 7.22551i) q^{43} +(-1.44825 + 26.7115i) q^{44} +(-6.52636 + 8.97223i) q^{45} +(7.99792 - 3.70023i) q^{46} +(0.805550 - 4.91364i) q^{47} +(13.9143 - 7.56610i) q^{48} +(1.76221 - 2.59906i) q^{49} +(-20.4768 - 9.47357i) q^{50} +(-1.93722 - 0.190020i) q^{51} +(-2.93955 + 1.55845i) q^{52} +(9.97078 - 6.76036i) q^{53} +(12.3867 - 5.39573i) q^{54} +(-20.7495 + 1.12500i) q^{55} +(-13.7741 - 3.03190i) q^{56} +(-0.423057 - 0.0647794i) q^{57} -12.5351i q^{58} +(-7.65561 + 0.625759i) q^{59} +(17.3795 + 25.0594i) q^{60} +(0.716621 - 0.756528i) q^{61} +(-0.343414 + 1.56015i) q^{62} +(-5.62391 - 1.76364i) q^{63} +(-1.00350 - 6.12110i) q^{64} +(-1.45039 - 2.13917i) q^{65} +(22.4813 + 11.6165i) q^{66} +(12.3462 + 10.4870i) q^{67} +(-2.24657 + 4.85587i) q^{68} +(-0.0619541 - 5.86987i) q^{69} +(2.04262 - 18.7816i) q^{70} +(-1.54277 - 0.252925i) q^{71} +(-1.61959 - 21.4754i) q^{72} +(0.828942 + 0.230154i) q^{73} +(-11.8334 - 0.641590i) q^{74} +(-11.3514 + 9.85009i) q^{75} +(-0.551041 + 1.03937i) q^{76} +(-4.08599 - 10.2551i) q^{77} +(0.203552 + 3.14074i) q^{78} +(-5.59607 + 1.23179i) q^{79} +(32.5853 - 9.04727i) q^{80} +(0.107535 - 8.99936i) q^{81} +(-16.0535 - 6.39631i) q^{82} +(3.51866 - 2.67481i) q^{83} +(-9.66760 + 13.0000i) q^{84} +(-3.93862 - 1.32707i) q^{85} +(11.4368 - 15.0448i) q^{86} +(-7.61486 - 3.42591i) q^{87} +(29.2841 - 27.7394i) q^{88} +(0.370720 - 0.351165i) q^{89} +(28.3635 - 5.26698i) q^{90} +(0.830896 - 1.09302i) q^{91} +(-15.2908 - 5.15206i) q^{92} +(0.853903 + 0.635013i) q^{93} +(-10.3069 + 7.83510i) q^{94} +(-0.848933 - 0.338246i) q^{95} +(-15.7650 - 4.19842i) q^{96} +(6.33787 - 1.75970i) q^{97} +(-7.97401 + 1.75521i) q^{98} +(13.2011 - 10.4821i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{43}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.88771 1.78814i −1.33481 1.26440i −0.938058 0.346479i \(-0.887377\pi\)
−0.396757 0.917924i \(-0.629864\pi\)
\(3\) −1.60218 + 0.658044i −0.925019 + 0.379922i
\(4\) 0.257749 + 4.75391i 0.128875 + 2.37695i
\(5\) −3.64954 + 0.598312i −1.63213 + 0.267573i −0.907027 0.421072i \(-0.861654\pi\)
−0.725098 + 0.688645i \(0.758206\pi\)
\(6\) 4.20113 + 1.62272i 1.71510 + 0.662471i
\(7\) −0.920260 1.73579i −0.347826 0.656069i 0.646445 0.762961i \(-0.276255\pi\)
−0.994271 + 0.106892i \(0.965910\pi\)
\(8\) 4.64745 5.47140i 1.64312 1.93443i
\(9\) 2.13396 2.10861i 0.711319 0.702870i
\(10\) 7.95915 + 5.39644i 2.51691 + 1.70650i
\(11\) 5.58591 + 0.607504i 1.68421 + 0.183169i 0.899570 0.436777i \(-0.143880\pi\)
0.784645 + 0.619946i \(0.212845\pi\)
\(12\) −3.54124 7.44700i −1.02227 2.14976i
\(13\) 0.293437 + 0.634254i 0.0813848 + 0.175910i 0.943996 0.329958i \(-0.107034\pi\)
−0.862611 + 0.505868i \(0.831172\pi\)
\(14\) −1.36665 + 4.92223i −0.365253 + 1.31552i
\(15\) 5.45351 3.36016i 1.40809 0.867591i
\(16\) −9.09068 + 0.988672i −2.27267 + 0.247168i
\(17\) 0.992908 + 0.526407i 0.240816 + 0.127672i 0.584446 0.811433i \(-0.301312\pi\)
−0.343630 + 0.939105i \(0.611657\pi\)
\(18\) −7.79878 + 0.164644i −1.83819 + 0.0388070i
\(19\) 0.211729 + 0.127393i 0.0485738 + 0.0292259i 0.539634 0.841900i \(-0.318563\pi\)
−0.491060 + 0.871126i \(0.663390\pi\)
\(20\) −3.78499 17.1954i −0.846349 3.84500i
\(21\) 2.61665 + 2.17548i 0.571000 + 0.474729i
\(22\) −9.45829 11.1352i −2.01651 2.37402i
\(23\) −1.25446 + 3.14845i −0.261573 + 0.656498i −0.999838 0.0180130i \(-0.994266\pi\)
0.738265 + 0.674511i \(0.235645\pi\)
\(24\) −3.84562 + 11.8244i −0.784984 + 2.41364i
\(25\) 8.22293 2.77063i 1.64459 0.554125i
\(26\) 0.580207 1.72199i 0.113788 0.337711i
\(27\) −2.03142 + 4.78261i −0.390947 + 0.920413i
\(28\) 8.01461 4.82223i 1.51462 0.911316i
\(29\) 3.31532 + 3.49994i 0.615640 + 0.649923i 0.957027 0.290000i \(-0.0936552\pi\)
−0.341387 + 0.939923i \(0.610897\pi\)
\(30\) −16.3031 3.40859i −2.97652 0.622320i
\(31\) −0.316746 0.526437i −0.0568893 0.0945508i 0.827107 0.562044i \(-0.189985\pi\)
−0.883997 + 0.467493i \(0.845157\pi\)
\(32\) 7.49852 + 5.70022i 1.32556 + 1.00767i
\(33\) −9.34939 + 2.70244i −1.62752 + 0.470435i
\(34\) −0.933039 2.76916i −0.160015 0.474907i
\(35\) 4.39708 + 5.78426i 0.743242 + 0.977718i
\(36\) 10.5742 + 9.60114i 1.76236 + 1.60019i
\(37\) 3.47371 2.95060i 0.571074 0.485075i −0.314700 0.949191i \(-0.601904\pi\)
0.885774 + 0.464116i \(0.153628\pi\)
\(38\) −0.171887 0.619080i −0.0278837 0.100428i
\(39\) −0.887505 0.823093i −0.142115 0.131800i
\(40\) −13.6875 + 22.7487i −2.16418 + 3.59689i
\(41\) 6.17403 2.45996i 0.964221 0.384181i 0.165719 0.986173i \(-0.447006\pi\)
0.798502 + 0.601992i \(0.205626\pi\)
\(42\) −1.04943 8.78561i −0.161930 1.35565i
\(43\) 0.785821 + 7.22551i 0.119837 + 1.10188i 0.887430 + 0.460942i \(0.152489\pi\)
−0.767593 + 0.640937i \(0.778546\pi\)
\(44\) −1.44825 + 26.7115i −0.218332 + 4.02691i
\(45\) −6.52636 + 8.97223i −0.972892 + 1.33750i
\(46\) 7.99792 3.70023i 1.17923 0.545569i
\(47\) 0.805550 4.91364i 0.117502 0.716728i −0.860707 0.509101i \(-0.829978\pi\)
0.978208 0.207627i \(-0.0665739\pi\)
\(48\) 13.9143 7.56610i 2.00836 1.09207i
\(49\) 1.76221 2.59906i 0.251744 0.371294i
\(50\) −20.4768 9.47357i −2.89585 1.33976i
\(51\) −1.93722 0.190020i −0.271264 0.0266082i
\(52\) −2.93955 + 1.55845i −0.407642 + 0.216118i
\(53\) 9.97078 6.76036i 1.36959 0.928607i 0.369593 0.929194i \(-0.379497\pi\)
1.00000 0.000587153i \(0.000186896\pi\)
\(54\) 12.3867 5.39573i 1.68562 0.734266i
\(55\) −20.7495 + 1.12500i −2.79786 + 0.151696i
\(56\) −13.7741 3.03190i −1.84064 0.405155i
\(57\) −0.423057 0.0647794i −0.0560353 0.00858024i
\(58\) 12.5351i 1.64594i
\(59\) −7.65561 + 0.625759i −0.996676 + 0.0814669i
\(60\) 17.3795 + 25.0594i 2.24369 + 3.23515i
\(61\) 0.716621 0.756528i 0.0917540 0.0968635i −0.678501 0.734599i \(-0.737370\pi\)
0.770255 + 0.637736i \(0.220129\pi\)
\(62\) −0.343414 + 1.56015i −0.0436137 + 0.198139i
\(63\) −5.62391 1.76364i −0.708546 0.222198i
\(64\) −1.00350 6.12110i −0.125438 0.765137i
\(65\) −1.45039 2.13917i −0.179899 0.265331i
\(66\) 22.4813 + 11.6165i 2.76726 + 1.42990i
\(67\) 12.3462 + 10.4870i 1.50833 + 1.28119i 0.847694 + 0.530485i \(0.177990\pi\)
0.660638 + 0.750704i \(0.270286\pi\)
\(68\) −2.24657 + 4.85587i −0.272436 + 0.588861i
\(69\) −0.0619541 5.86987i −0.00745839 0.706650i
\(70\) 2.04262 18.7816i 0.244140 2.24483i
\(71\) −1.54277 0.252925i −0.183093 0.0300166i 0.0695376 0.997579i \(-0.477848\pi\)
−0.252631 + 0.967563i \(0.581296\pi\)
\(72\) −1.61959 21.4754i −0.190871 2.53090i
\(73\) 0.828942 + 0.230154i 0.0970203 + 0.0269375i 0.315699 0.948859i \(-0.397761\pi\)
−0.218679 + 0.975797i \(0.570175\pi\)
\(74\) −11.8334 0.641590i −1.37561 0.0745833i
\(75\) −11.3514 + 9.85009i −1.31075 + 1.13739i
\(76\) −0.551041 + 1.03937i −0.0632087 + 0.119224i
\(77\) −4.08599 10.2551i −0.465641 1.16867i
\(78\) 0.203552 + 3.14074i 0.0230477 + 0.355619i
\(79\) −5.59607 + 1.23179i −0.629607 + 0.138587i −0.518300 0.855199i \(-0.673435\pi\)
−0.111307 + 0.993786i \(0.535504\pi\)
\(80\) 32.5853 9.04727i 3.64315 1.01152i
\(81\) 0.107535 8.99936i 0.0119483 0.999929i
\(82\) −16.0535 6.39631i −1.77282 0.706354i
\(83\) 3.51866 2.67481i 0.386223 0.293599i −0.393988 0.919116i \(-0.628905\pi\)
0.780211 + 0.625517i \(0.215112\pi\)
\(84\) −9.66760 + 13.0000i −1.05482 + 1.41842i
\(85\) −3.93862 1.32707i −0.427203 0.143941i
\(86\) 11.4368 15.0448i 1.23326 1.62233i
\(87\) −7.61486 3.42591i −0.816399 0.367296i
\(88\) 29.2841 27.7394i 3.12170 2.95703i
\(89\) 0.370720 0.351165i 0.0392963 0.0372234i −0.667799 0.744341i \(-0.732764\pi\)
0.707096 + 0.707118i \(0.250005\pi\)
\(90\) 28.3635 5.26698i 2.98977 0.555188i
\(91\) 0.830896 1.09302i 0.0871015 0.114580i
\(92\) −15.2908 5.15206i −1.59417 0.537140i
\(93\) 0.853903 + 0.635013i 0.0885456 + 0.0658478i
\(94\) −10.3069 + 7.83510i −1.06308 + 0.808129i
\(95\) −0.848933 0.338246i −0.0870987 0.0347033i
\(96\) −15.7650 4.19842i −1.60901 0.428500i
\(97\) 6.33787 1.75970i 0.643513 0.178671i 0.0695850 0.997576i \(-0.477833\pi\)
0.573929 + 0.818905i \(0.305419\pi\)
\(98\) −7.97401 + 1.75521i −0.805496 + 0.177303i
\(99\) 13.2011 10.4821i 1.32676 1.05349i
\(100\) 15.2908 + 38.3769i 1.52908 + 3.83769i
\(101\) −6.08631 + 11.4800i −0.605610 + 1.14230i 0.371272 + 0.928524i \(0.378922\pi\)
−0.976882 + 0.213778i \(0.931423\pi\)
\(102\) 3.31712 + 3.82271i 0.328444 + 0.378505i
\(103\) 7.54449 + 0.409050i 0.743380 + 0.0403049i 0.421939 0.906624i \(-0.361350\pi\)
0.321442 + 0.946929i \(0.395833\pi\)
\(104\) 4.83399 + 1.34215i 0.474011 + 0.131609i
\(105\) −10.8512 6.37394i −1.05897 0.622033i
\(106\) −30.9104 5.06751i −3.00228 0.492200i
\(107\) −0.695709 + 6.39693i −0.0672567 + 0.618415i 0.911200 + 0.411964i \(0.135157\pi\)
−0.978457 + 0.206451i \(0.933809\pi\)
\(108\) −23.2597 8.42448i −2.23816 0.810646i
\(109\) −0.0624799 + 0.135048i −0.00598449 + 0.0129353i −0.910545 0.413411i \(-0.864337\pi\)
0.904560 + 0.426346i \(0.140199\pi\)
\(110\) 41.1807 + 34.9792i 3.92643 + 3.33514i
\(111\) −3.62388 + 7.01324i −0.343964 + 0.665667i
\(112\) 10.0819 + 14.8697i 0.952652 + 1.40506i
\(113\) 1.60457 + 9.78742i 0.150945 + 0.920723i 0.948338 + 0.317262i \(0.102764\pi\)
−0.797393 + 0.603460i \(0.793788\pi\)
\(114\) 0.682776 + 0.878769i 0.0639478 + 0.0823042i
\(115\) 2.69444 12.2410i 0.251258 1.14148i
\(116\) −15.7839 + 16.6628i −1.46550 + 1.54711i
\(117\) 1.96357 + 0.734725i 0.181533 + 0.0679254i
\(118\) 15.5705 + 12.5080i 1.43338 + 1.15146i
\(119\) 2.20792i 0.202399i
\(120\) 6.96009 45.4545i 0.635366 4.14941i
\(121\) 20.0905 + 4.42225i 1.82641 + 0.402023i
\(122\) −2.70555 + 0.146691i −0.244949 + 0.0132807i
\(123\) −8.27314 + 8.00407i −0.745964 + 0.721703i
\(124\) 2.42099 1.64147i 0.217411 0.147409i
\(125\) −12.0149 + 6.36992i −1.07465 + 0.569743i
\(126\) 7.46269 + 13.3856i 0.664829 + 1.19248i
\(127\) −17.3055 8.00637i −1.53561 0.710451i −0.543928 0.839132i \(-0.683063\pi\)
−0.991686 + 0.128681i \(0.958926\pi\)
\(128\) 1.52077 2.24297i 0.134419 0.198252i
\(129\) −6.01373 11.0594i −0.529479 0.973730i
\(130\) −1.08720 + 6.63164i −0.0953539 + 0.581633i
\(131\) −1.90445 + 0.881090i −0.166392 + 0.0769812i −0.501317 0.865264i \(-0.667151\pi\)
0.334925 + 0.942245i \(0.391289\pi\)
\(132\) −15.2570 43.7496i −1.32795 3.80791i
\(133\) 0.0262825 0.484752i 0.00227898 0.0420333i
\(134\) −4.55398 41.8732i −0.393404 3.61729i
\(135\) 4.55227 18.6698i 0.391797 1.60684i
\(136\) 7.49467 2.98615i 0.642663 0.256060i
\(137\) 1.56988 2.60917i 0.134124 0.222916i −0.782515 0.622632i \(-0.786063\pi\)
0.916639 + 0.399715i \(0.130891\pi\)
\(138\) −10.3792 + 11.1914i −0.883534 + 0.952676i
\(139\) 5.88501 + 21.1959i 0.499160 + 1.79781i 0.596561 + 0.802568i \(0.296533\pi\)
−0.0974010 + 0.995245i \(0.531053\pi\)
\(140\) −26.3645 + 22.3942i −2.22820 + 1.89265i
\(141\) 1.94276 + 8.40262i 0.163610 + 0.707628i
\(142\) 2.46005 + 3.23614i 0.206443 + 0.271571i
\(143\) 1.25380 + 3.72115i 0.104848 + 0.311178i
\(144\) −17.3144 + 21.2785i −1.44287 + 1.77321i
\(145\) −14.1935 10.7896i −1.17870 0.896028i
\(146\) −1.15326 1.91673i −0.0954441 0.158629i
\(147\) −1.11307 + 5.32377i −0.0918047 + 0.439097i
\(148\) 14.9222 + 15.7532i 1.22660 + 1.29490i
\(149\) 13.2521 7.97355i 1.08566 0.653218i 0.143927 0.989588i \(-0.454027\pi\)
0.941730 + 0.336370i \(0.109199\pi\)
\(150\) 39.0415 + 1.70373i 3.18772 + 0.139109i
\(151\) 2.28721 6.78820i 0.186131 0.552416i −0.813442 0.581646i \(-0.802409\pi\)
0.999573 + 0.0292300i \(0.00930552\pi\)
\(152\) 1.68101 0.566399i 0.136348 0.0459411i
\(153\) 3.22881 0.970327i 0.261034 0.0784463i
\(154\) −10.6243 + 26.6649i −0.856127 + 2.14872i
\(155\) 1.47095 + 1.73174i 0.118150 + 0.139097i
\(156\) 3.68416 4.43127i 0.294968 0.354786i
\(157\) 1.85065 + 8.40761i 0.147698 + 0.671000i 0.991034 + 0.133613i \(0.0426578\pi\)
−0.843335 + 0.537388i \(0.819411\pi\)
\(158\) 12.7664 + 7.68128i 1.01564 + 0.611089i
\(159\) −11.5264 + 17.3925i −0.914100 + 1.37932i
\(160\) −30.7767 16.3168i −2.43311 1.28995i
\(161\) 6.61949 0.719913i 0.521689 0.0567371i
\(162\) −16.2951 + 16.7959i −1.28026 + 1.31961i
\(163\) −1.03181 + 3.71624i −0.0808175 + 0.291078i −0.992904 0.118920i \(-0.962057\pi\)
0.912086 + 0.409998i \(0.134471\pi\)
\(164\) 13.2858 + 28.7167i 1.03744 + 2.24240i
\(165\) 32.5041 15.4565i 2.53044 1.20329i
\(166\) −11.4251 1.24256i −0.886763 0.0964412i
\(167\) 0.300816 + 0.203958i 0.0232778 + 0.0157828i 0.572771 0.819716i \(-0.305869\pi\)
−0.549493 + 0.835499i \(0.685179\pi\)
\(168\) 24.0637 4.20630i 1.85655 0.324523i
\(169\) 8.09985 9.53588i 0.623065 0.733529i
\(170\) 5.06199 + 9.54792i 0.388237 + 0.732292i
\(171\) 0.720441 0.174602i 0.0550935 0.0133522i
\(172\) −34.1468 + 5.59809i −2.60367 + 0.426850i
\(173\) −1.16863 21.5541i −0.0888494 1.63873i −0.615134 0.788422i \(-0.710898\pi\)
0.526285 0.850308i \(-0.323584\pi\)
\(174\) 8.24867 + 20.0835i 0.625330 + 1.52253i
\(175\) −12.3765 11.7236i −0.935573 0.886222i
\(176\) −51.3803 −3.87294
\(177\) 11.8539 6.04031i 0.890993 0.454018i
\(178\) −1.32774 −0.0995186
\(179\) −5.01059 4.74628i −0.374509 0.354754i 0.477176 0.878808i \(-0.341660\pi\)
−0.851685 + 0.524054i \(0.824419\pi\)
\(180\) −44.3353 28.7131i −3.30456 2.14015i
\(181\) −0.573423 10.5762i −0.0426222 0.786120i −0.939229 0.343292i \(-0.888458\pi\)
0.896607 0.442828i \(-0.146025\pi\)
\(182\) −3.52297 + 0.577561i −0.261140 + 0.0428117i
\(183\) −0.650327 + 1.68366i −0.0480736 + 0.124460i
\(184\) 11.3964 + 21.4959i 0.840154 + 1.58470i
\(185\) −10.9121 + 12.8467i −0.802272 + 0.944507i
\(186\) −0.476434 2.72562i −0.0349339 0.199852i
\(187\) 5.22650 + 3.54366i 0.382200 + 0.259138i
\(188\) 23.5666 + 2.56302i 1.71877 + 0.186928i
\(189\) 10.1711 0.875111i 0.739836 0.0636550i
\(190\) 0.997712 + 2.15652i 0.0723816 + 0.156450i
\(191\) −2.39397 + 8.62230i −0.173222 + 0.623888i 0.825047 + 0.565064i \(0.191149\pi\)
−0.998268 + 0.0588233i \(0.981265\pi\)
\(192\) 5.63575 + 9.14675i 0.406725 + 0.660110i
\(193\) −2.74552 + 0.298593i −0.197627 + 0.0214932i −0.206397 0.978468i \(-0.566174\pi\)
0.00877016 + 0.999962i \(0.497208\pi\)
\(194\) −15.1107 8.01117i −1.08488 0.575168i
\(195\) 3.73146 + 2.47291i 0.267215 + 0.177089i
\(196\) 12.8099 + 7.70745i 0.914992 + 0.550532i
\(197\) 4.35259 + 19.7740i 0.310109 + 1.40884i 0.831501 + 0.555523i \(0.187482\pi\)
−0.521392 + 0.853317i \(0.674587\pi\)
\(198\) −43.6633 3.81810i −3.10301 0.271341i
\(199\) 0.577222 + 0.679558i 0.0409182 + 0.0481726i 0.782240 0.622977i \(-0.214077\pi\)
−0.741322 + 0.671149i \(0.765801\pi\)
\(200\) 23.0564 57.8672i 1.63033 4.09183i
\(201\) −26.6818 8.67766i −1.88199 0.612075i
\(202\) 32.0170 10.7878i 2.25271 0.759026i
\(203\) 3.02422 8.97558i 0.212259 0.629962i
\(204\) 0.404023 9.25832i 0.0282872 0.648212i
\(205\) −21.0606 + 12.6717i −1.47093 + 0.885031i
\(206\) −13.5104 14.2627i −0.941313 0.993732i
\(207\) 3.96190 + 9.36382i 0.275371 + 0.650830i
\(208\) −3.29461 5.47569i −0.228440 0.379671i
\(209\) 1.10530 + 0.840230i 0.0764555 + 0.0581200i
\(210\) 9.08647 + 31.4356i 0.627026 + 2.16926i
\(211\) −8.01729 23.7945i −0.551933 1.63808i −0.752643 0.658429i \(-0.771221\pi\)
0.200710 0.979651i \(-0.435675\pi\)
\(212\) 34.7081 + 45.6577i 2.38376 + 3.13578i
\(213\) 2.63823 0.609982i 0.180769 0.0417953i
\(214\) 12.7519 10.8316i 0.871701 0.740430i
\(215\) −7.19100 25.8996i −0.490422 1.76634i
\(216\) 16.7266 + 33.3416i 1.13810 + 2.26861i
\(217\) −0.622297 + 1.03427i −0.0422443 + 0.0702105i
\(218\) 0.359428 0.143209i 0.0243436 0.00969936i
\(219\) −1.47956 + 0.176731i −0.0999797 + 0.0119424i
\(220\) −10.6963 98.3512i −0.721147 6.63084i
\(221\) −0.0425193 + 0.784223i −0.00286016 + 0.0527525i
\(222\) 19.3815 6.75898i 1.30080 0.453633i
\(223\) 5.49951 2.54434i 0.368274 0.170382i −0.227019 0.973890i \(-0.572898\pi\)
0.595293 + 0.803509i \(0.297036\pi\)
\(224\) 2.99383 18.2616i 0.200034 1.22015i
\(225\) 11.7052 23.2513i 0.780346 1.55009i
\(226\) 14.4723 21.3450i 0.962681 1.41985i
\(227\) 14.4195 + 6.67116i 0.957054 + 0.442780i 0.835309 0.549781i \(-0.185289\pi\)
0.121745 + 0.992561i \(0.461151\pi\)
\(228\) 0.198913 2.02787i 0.0131733 0.134299i
\(229\) −0.0428247 + 0.0227042i −0.00282994 + 0.00150034i −0.469823 0.882761i \(-0.655682\pi\)
0.466993 + 0.884261i \(0.345337\pi\)
\(230\) −26.9749 + 18.2894i −1.77867 + 1.20597i
\(231\) 13.2948 + 13.7417i 0.874731 + 0.904135i
\(232\) 34.5574 1.87365i 2.26880 0.123011i
\(233\) −17.3864 3.82703i −1.13902 0.250717i −0.394874 0.918735i \(-0.629212\pi\)
−0.744145 + 0.668019i \(0.767143\pi\)
\(234\) −2.39287 4.89809i −0.156427 0.320198i
\(235\) 18.4145i 1.20123i
\(236\) −4.94803 36.2328i −0.322089 2.35855i
\(237\) 8.15534 5.65601i 0.529746 0.367397i
\(238\) −3.94805 + 4.16791i −0.255914 + 0.270165i
\(239\) −2.85188 + 12.9562i −0.184473 + 0.838069i 0.789919 + 0.613212i \(0.210123\pi\)
−0.974392 + 0.224858i \(0.927808\pi\)
\(240\) −46.2540 + 35.9379i −2.98568 + 2.31978i
\(241\) −0.288565 1.76017i −0.0185881 0.113382i 0.975903 0.218206i \(-0.0700205\pi\)
−0.994491 + 0.104824i \(0.966572\pi\)
\(242\) −30.0175 44.2724i −1.92960 2.84594i
\(243\) 5.74968 + 14.4893i 0.368842 + 0.929492i
\(244\) 3.78117 + 3.21176i 0.242065 + 0.205612i
\(245\) −4.87620 + 10.5397i −0.311529 + 0.673358i
\(246\) 29.9297 0.315895i 1.90825 0.0201408i
\(247\) −0.0186704 + 0.171671i −0.00118797 + 0.0109232i
\(248\) −4.35241 0.713541i −0.276378 0.0453099i
\(249\) −3.87737 + 6.60096i −0.245718 + 0.418319i
\(250\) 34.0710 + 9.45977i 2.15484 + 0.598289i
\(251\) 19.2750 + 1.04506i 1.21663 + 0.0659637i 0.651248 0.758865i \(-0.274246\pi\)
0.565382 + 0.824829i \(0.308729\pi\)
\(252\) 6.93462 27.1901i 0.436840 1.71282i
\(253\) −8.91998 + 16.8249i −0.560795 + 1.05777i
\(254\) 18.3513 + 46.0583i 1.15146 + 2.88995i
\(255\) 7.18365 0.465573i 0.449857 0.0291553i
\(256\) −18.9971 + 4.18158i −1.18732 + 0.261349i
\(257\) 24.6370 6.84044i 1.53682 0.426695i 0.606994 0.794706i \(-0.292375\pi\)
0.929821 + 0.368012i \(0.119961\pi\)
\(258\) −8.42361 + 31.6304i −0.524431 + 1.96922i
\(259\) −8.31834 3.31433i −0.516877 0.205942i
\(260\) 9.79557 7.44640i 0.607496 0.461806i
\(261\) 14.4548 + 0.478005i 0.894728 + 0.0295878i
\(262\) 5.17055 + 1.74216i 0.319438 + 0.107631i
\(263\) −7.55892 + 9.94359i −0.466103 + 0.613148i −0.967746 0.251927i \(-0.918936\pi\)
0.501643 + 0.865074i \(0.332729\pi\)
\(264\) −28.6646 + 63.7137i −1.76419 + 3.92131i
\(265\) −32.3440 + 30.6379i −1.98688 + 1.88207i
\(266\) −0.916416 + 0.868075i −0.0561891 + 0.0532251i
\(267\) −0.362878 + 0.806580i −0.0222078 + 0.0493619i
\(268\) −46.6719 + 61.3959i −2.85094 + 3.75035i
\(269\) −8.32274 2.80426i −0.507447 0.170979i 0.0539210 0.998545i \(-0.482828\pi\)
−0.561368 + 0.827567i \(0.689725\pi\)
\(270\) −41.9774 + 27.1031i −2.55467 + 1.64944i
\(271\) 11.0800 8.42283i 0.673065 0.511650i −0.211910 0.977289i \(-0.567968\pi\)
0.884975 + 0.465639i \(0.154175\pi\)
\(272\) −9.54666 3.80374i −0.578851 0.230635i
\(273\) −0.611985 + 2.29799i −0.0370390 + 0.139080i
\(274\) −7.62904 + 2.11819i −0.460887 + 0.127965i
\(275\) 47.6157 10.4810i 2.87133 0.632028i
\(276\) 27.8889 1.80748i 1.67871 0.108797i
\(277\) 4.23169 + 10.6208i 0.254258 + 0.638139i 0.999592 0.0285516i \(-0.00908951\pi\)
−0.745334 + 0.666691i \(0.767710\pi\)
\(278\) 26.7919 50.5350i 1.60687 3.03089i
\(279\) −1.78597 0.455498i −0.106923 0.0272700i
\(280\) 52.0831 + 2.82387i 3.11256 + 0.168758i
\(281\) −16.2185 4.50303i −0.967512 0.268628i −0.252388 0.967626i \(-0.581216\pi\)
−0.715124 + 0.698998i \(0.753630\pi\)
\(282\) 11.3577 19.3356i 0.676339 1.15142i
\(283\) −13.1175 2.15051i −0.779756 0.127834i −0.241258 0.970461i \(-0.577560\pi\)
−0.538498 + 0.842627i \(0.681008\pi\)
\(284\) 0.804732 7.39939i 0.0477521 0.439073i
\(285\) 1.58272 0.0167050i 0.0937525 0.000989518i
\(286\) 4.28710 9.26642i 0.253502 0.547935i
\(287\) −9.95169 8.45304i −0.587430 0.498967i
\(288\) 28.0210 3.64741i 1.65116 0.214926i
\(289\) −8.83142 13.0254i −0.519495 0.766198i
\(290\) 7.49993 + 45.7475i 0.440411 + 2.68639i
\(291\) −8.99645 + 6.98996i −0.527381 + 0.409759i
\(292\) −0.880474 + 4.00003i −0.0515258 + 0.234084i
\(293\) −5.71036 + 6.02835i −0.333603 + 0.352180i −0.871118 0.491074i \(-0.836604\pi\)
0.537515 + 0.843254i \(0.319363\pi\)
\(294\) 11.6208 8.05941i 0.677738 0.470034i
\(295\) 27.5651 6.86418i 1.60490 0.399648i
\(296\) 32.7188i 1.90174i
\(297\) −14.2528 + 25.4811i −0.827031 + 1.47856i
\(298\) −39.2740 8.64486i −2.27508 0.500783i
\(299\) −2.36502 + 0.128228i −0.136773 + 0.00741560i
\(300\) −49.7522 51.4247i −2.87245 2.96901i
\(301\) 11.8188 8.01337i 0.681226 0.461883i
\(302\) −16.4558 + 8.72432i −0.946926 + 0.502028i
\(303\) 2.19701 22.3981i 0.126215 1.28674i
\(304\) −2.05071 0.948758i −0.117616 0.0544150i
\(305\) −2.16270 + 3.18975i −0.123836 + 0.182644i
\(306\) −7.83014 3.94185i −0.447619 0.225341i
\(307\) 2.23523 13.6343i 0.127572 0.778152i −0.843102 0.537753i \(-0.819273\pi\)
0.970674 0.240399i \(-0.0772784\pi\)
\(308\) 47.6984 22.0676i 2.71787 1.25742i
\(309\) −12.3568 + 4.30923i −0.702953 + 0.245144i
\(310\) 0.319850 5.89929i 0.0181663 0.335057i
\(311\) 2.83679 + 26.0839i 0.160860 + 1.47908i 0.744802 + 0.667286i \(0.232544\pi\)
−0.583942 + 0.811795i \(0.698491\pi\)
\(312\) −8.62810 + 1.03061i −0.488470 + 0.0583469i
\(313\) −10.7095 + 4.26707i −0.605339 + 0.241189i −0.652611 0.757693i \(-0.726326\pi\)
0.0472724 + 0.998882i \(0.484947\pi\)
\(314\) 11.5404 19.1804i 0.651265 1.08241i
\(315\) 21.5799 + 3.07163i 1.21589 + 0.173067i
\(316\) −7.29819 26.2857i −0.410555 1.47869i
\(317\) 6.90731 5.86712i 0.387953 0.329530i −0.432092 0.901830i \(-0.642224\pi\)
0.820045 + 0.572299i \(0.193948\pi\)
\(318\) 52.8587 12.2214i 2.96417 0.685340i
\(319\) 16.3929 + 21.5644i 0.917824 + 1.20738i
\(320\) 7.32466 + 21.7388i 0.409461 + 1.21524i
\(321\) −3.09482 10.7068i −0.172736 0.597598i
\(322\) −13.7830 10.4776i −0.768097 0.583892i
\(323\) 0.143167 + 0.237945i 0.00796600 + 0.0132396i
\(324\) 42.8098 1.80837i 2.37832 0.100465i
\(325\) 4.17019 + 4.40242i 0.231321 + 0.244202i
\(326\) 8.59290 5.17018i 0.475917 0.286350i
\(327\) 0.0112364 0.257486i 0.000621374 0.0142390i
\(328\) 15.2341 45.2131i 0.841160 2.49647i
\(329\) −9.27038 + 3.12356i −0.511093 + 0.172207i
\(330\) −88.9968 28.9443i −4.89911 1.59333i
\(331\) 3.64794 9.15565i 0.200509 0.503240i −0.793997 0.607922i \(-0.792003\pi\)
0.994506 + 0.104682i \(0.0333825\pi\)
\(332\) 13.6227 + 16.0379i 0.747645 + 0.880196i
\(333\) 1.19109 13.6211i 0.0652713 0.746434i
\(334\) −0.203149 0.922915i −0.0111158 0.0504997i
\(335\) −51.3326 30.8858i −2.80460 1.68747i
\(336\) −25.9380 17.1896i −1.41503 0.937770i
\(337\) 15.4001 + 8.16463i 0.838898 + 0.444756i 0.831705 0.555218i \(-0.187365\pi\)
0.00719374 + 0.999974i \(0.497710\pi\)
\(338\) −32.3416 + 3.51737i −1.75915 + 0.191319i
\(339\) −9.01135 14.6253i −0.489430 0.794338i
\(340\) 5.29361 19.0659i 0.287087 1.03399i
\(341\) −1.44950 3.13305i −0.0784951 0.169664i
\(342\) −1.67220 0.958648i −0.0904221 0.0518378i
\(343\) −19.8051 2.15393i −1.06937 0.116301i
\(344\) 43.1857 + 29.2806i 2.32842 + 1.57870i
\(345\) 3.73812 + 21.3853i 0.201254 + 1.15135i
\(346\) −36.3357 + 42.7777i −1.95342 + 2.29974i
\(347\) 2.91249 + 5.49354i 0.156351 + 0.294909i 0.949296 0.314385i \(-0.101798\pi\)
−0.792945 + 0.609293i \(0.791453\pi\)
\(348\) 14.3237 37.0834i 0.767832 1.98788i
\(349\) −14.4700 + 2.37224i −0.774561 + 0.126983i −0.536083 0.844165i \(-0.680097\pi\)
−0.238478 + 0.971148i \(0.576648\pi\)
\(350\) 2.39980 + 44.2616i 0.128274 + 2.36588i
\(351\) −3.62948 + 0.114957i −0.193727 + 0.00613596i
\(352\) 38.4231 + 36.3963i 2.04796 + 1.93993i
\(353\) −26.0811 −1.38816 −0.694078 0.719900i \(-0.744188\pi\)
−0.694078 + 0.719900i \(0.744188\pi\)
\(354\) −33.1776 9.79400i −1.76337 0.520545i
\(355\) 5.78175 0.306863
\(356\) 1.76496 + 1.67186i 0.0935426 + 0.0886083i
\(357\) 1.45291 + 3.53748i 0.0768959 + 0.187223i
\(358\) 0.971552 + 17.9192i 0.0513481 + 0.947060i
\(359\) 1.02990 0.168843i 0.0543558 0.00891119i −0.134543 0.990908i \(-0.542957\pi\)
0.188899 + 0.981997i \(0.439508\pi\)
\(360\) 18.7598 + 77.4063i 0.988726 + 4.07967i
\(361\) −8.87116 16.7328i −0.466903 0.880673i
\(362\) −17.8292 + 20.9901i −0.937080 + 1.10322i
\(363\) −35.0986 + 6.13519i −1.84220 + 0.322014i
\(364\) 5.41030 + 3.66827i 0.283577 + 0.192270i
\(365\) −3.16296 0.343993i −0.165557 0.0180054i
\(366\) 4.23825 2.01540i 0.221537 0.105346i
\(367\) −1.43014 3.09121i −0.0746529 0.161360i 0.866656 0.498907i \(-0.166265\pi\)
−0.941309 + 0.337547i \(0.890403\pi\)
\(368\) 8.29110 29.8618i 0.432203 1.55666i
\(369\) 7.98801 18.2680i 0.415839 0.950997i
\(370\) 43.5705 4.73858i 2.26512 0.246347i
\(371\) −20.9103 11.0859i −1.08561 0.575554i
\(372\) −2.79870 + 4.22305i −0.145106 + 0.218955i
\(373\) −5.94949 3.57969i −0.308053 0.185349i 0.353130 0.935574i \(-0.385118\pi\)
−0.661182 + 0.750225i \(0.729945\pi\)
\(374\) −3.52959 16.0351i −0.182511 0.829155i
\(375\) 15.0584 18.1121i 0.777612 0.935305i
\(376\) −23.1407 27.2434i −1.19339 1.40497i
\(377\) −1.24701 + 3.12977i −0.0642245 + 0.161191i
\(378\) −20.7649 16.5353i −1.06803 0.850483i
\(379\) −34.3489 + 11.5735i −1.76438 + 0.594490i −0.998806 0.0488522i \(-0.984444\pi\)
−0.765578 + 0.643343i \(0.777547\pi\)
\(380\) 1.38918 4.12293i 0.0712633 0.211502i
\(381\) 32.9950 + 1.43987i 1.69039 + 0.0737666i
\(382\) 19.9370 11.9957i 1.02006 0.613752i
\(383\) −3.58216 3.78164i −0.183040 0.193233i 0.628018 0.778199i \(-0.283866\pi\)
−0.811058 + 0.584966i \(0.801108\pi\)
\(384\) −0.960575 + 4.59438i −0.0490192 + 0.234456i
\(385\) 21.0477 + 34.9816i 1.07269 + 1.78283i
\(386\) 5.71668 + 4.34571i 0.290971 + 0.221191i
\(387\) 16.9127 + 13.7619i 0.859720 + 0.699558i
\(388\) 9.99904 + 29.6761i 0.507624 + 1.50658i
\(389\) 1.85608 + 2.44163i 0.0941069 + 0.123795i 0.840737 0.541444i \(-0.182122\pi\)
−0.746630 + 0.665240i \(0.768329\pi\)
\(390\) −2.62202 11.3405i −0.132771 0.574248i
\(391\) −2.90293 + 2.46577i −0.146807 + 0.124699i
\(392\) −6.03073 21.7207i −0.304598 1.09706i
\(393\) 2.47147 2.66487i 0.124669 0.134425i
\(394\) 27.1422 45.1107i 1.36740 2.27264i
\(395\) 19.6861 7.84366i 0.990516 0.394658i
\(396\) 53.2335 + 60.0549i 2.67509 + 3.01787i
\(397\) 3.24792 + 29.8641i 0.163009 + 1.49884i 0.734713 + 0.678379i \(0.237317\pi\)
−0.571704 + 0.820460i \(0.693717\pi\)
\(398\) 0.125514 2.31496i 0.00629143 0.116039i
\(399\) 0.276879 + 0.793954i 0.0138613 + 0.0397474i
\(400\) −72.0128 + 33.3167i −3.60064 + 1.66583i
\(401\) 3.22234 19.6554i 0.160916 0.981543i −0.775679 0.631128i \(-0.782592\pi\)
0.936594 0.350415i \(-0.113960\pi\)
\(402\) 34.8507 + 64.0916i 1.73819 + 3.19660i
\(403\) 0.240949 0.355374i 0.0120025 0.0177024i
\(404\) −56.1436 25.9748i −2.79325 1.29229i
\(405\) 4.99197 + 32.9079i 0.248053 + 1.63521i
\(406\) −21.7584 + 11.5356i −1.07985 + 0.572501i
\(407\) 21.1963 14.3715i 1.05066 0.712367i
\(408\) −10.0428 + 9.71617i −0.497192 + 0.481022i
\(409\) 19.5954 1.06243i 0.968930 0.0525339i 0.437125 0.899401i \(-0.355997\pi\)
0.531805 + 0.846867i \(0.321514\pi\)
\(410\) 62.4150 + 13.7386i 3.08246 + 0.678500i
\(411\) −0.798288 + 5.21341i −0.0393767 + 0.257159i
\(412\) 35.9712i 1.77217i
\(413\) 8.13135 + 12.7127i 0.400117 + 0.625552i
\(414\) 9.26486 24.7606i 0.455343 1.21692i
\(415\) −11.2411 + 11.8671i −0.551805 + 0.582533i
\(416\) −1.41505 + 6.42862i −0.0693783 + 0.315189i
\(417\) −23.3767 30.0870i −1.14476 1.47337i
\(418\) −0.584050 3.56255i −0.0285668 0.174250i
\(419\) −6.25214 9.22122i −0.305437 0.450486i 0.643733 0.765250i \(-0.277385\pi\)
−0.949170 + 0.314764i \(0.898075\pi\)
\(420\) 27.5042 53.2285i 1.34207 2.59728i
\(421\) −21.8321 18.5444i −1.06403 0.903798i −0.0684477 0.997655i \(-0.521805\pi\)
−0.995586 + 0.0938566i \(0.970080\pi\)
\(422\) −27.4134 + 59.2531i −1.33446 + 2.88440i
\(423\) −8.64193 12.1841i −0.420185 0.592410i
\(424\) 9.35008 85.9725i 0.454080 4.17519i
\(425\) 9.62309 + 1.57763i 0.466788 + 0.0765261i
\(426\) −6.07096 3.56605i −0.294139 0.172776i
\(427\) −1.97266 0.547705i −0.0954635 0.0265053i
\(428\) −30.5897 1.65853i −1.47861 0.0801680i
\(429\) −4.45749 5.13689i −0.215210 0.248011i
\(430\) −32.7375 + 61.7495i −1.57874 + 2.97783i
\(431\) 1.72869 + 4.33869i 0.0832681 + 0.208987i 0.964715 0.263296i \(-0.0848094\pi\)
−0.881447 + 0.472283i \(0.843430\pi\)
\(432\) 13.7386 45.4856i 0.660998 2.18843i
\(433\) −8.73619 + 1.92298i −0.419834 + 0.0924125i −0.419863 0.907587i \(-0.637922\pi\)
2.87352e−5 1.00000i \(0.499991\pi\)
\(434\) 3.02413 0.839644i 0.145163 0.0403042i
\(435\) 29.8405 + 7.94694i 1.43074 + 0.381027i
\(436\) −0.658110 0.262215i −0.0315178 0.0125578i
\(437\) −0.666695 + 0.506808i −0.0318923 + 0.0242439i
\(438\) 3.10901 + 2.31205i 0.148554 + 0.110474i
\(439\) 28.5994 + 9.63625i 1.36497 + 0.459913i 0.904012 0.427507i \(-0.140608\pi\)
0.460961 + 0.887420i \(0.347505\pi\)
\(440\) −90.2768 + 118.757i −4.30378 + 5.66152i
\(441\) −1.71993 9.26208i −0.0819014 0.441051i
\(442\) 1.48256 1.40436i 0.0705183 0.0667984i
\(443\) 21.7524 20.6050i 1.03349 0.978972i 0.0336976 0.999432i \(-0.489272\pi\)
0.999791 + 0.0204600i \(0.00651307\pi\)
\(444\) −34.2743 15.4199i −1.62659 0.731798i
\(445\) −1.14285 + 1.50340i −0.0541765 + 0.0712679i
\(446\) −14.9311 5.03088i −0.707009 0.238219i
\(447\) −15.9854 + 21.4955i −0.756081 + 1.01670i
\(448\) −9.70149 + 7.37488i −0.458352 + 0.348430i
\(449\) 37.6127 + 14.9863i 1.77505 + 0.707246i 0.996857 + 0.0792244i \(0.0252444\pi\)
0.778196 + 0.628021i \(0.216135\pi\)
\(450\) −63.6726 + 22.9614i −3.00156 + 1.08241i
\(451\) 35.9820 9.99035i 1.69433 0.470427i
\(452\) −46.1149 + 10.1507i −2.16906 + 0.477447i
\(453\) 0.802414 + 12.3810i 0.0377007 + 0.581710i
\(454\) −15.2909 38.3772i −0.717636 1.80113i
\(455\) −2.37842 + 4.48618i −0.111502 + 0.210315i
\(456\) −2.32057 + 2.01365i −0.108671 + 0.0942980i
\(457\) 22.9128 + 1.24229i 1.07181 + 0.0581121i 0.581588 0.813483i \(-0.302432\pi\)
0.490226 + 0.871595i \(0.336914\pi\)
\(458\) 0.121439 + 0.0337174i 0.00567447 + 0.00157551i
\(459\) −4.53461 + 3.67934i −0.211658 + 0.171737i
\(460\) 58.8869 + 9.65402i 2.74562 + 0.450121i
\(461\) −2.95229 + 27.1459i −0.137502 + 1.26431i 0.698511 + 0.715599i \(0.253846\pi\)
−0.836013 + 0.548710i \(0.815119\pi\)
\(462\) −0.524702 49.7132i −0.0244113 2.31287i
\(463\) 10.7693 23.2775i 0.500492 1.08180i −0.478536 0.878068i \(-0.658832\pi\)
0.979028 0.203727i \(-0.0653056\pi\)
\(464\) −33.5988 28.5391i −1.55979 1.32490i
\(465\) −3.49629 1.80661i −0.162137 0.0837794i
\(466\) 25.9772 + 38.3135i 1.20337 + 1.77484i
\(467\) −3.71456 22.6578i −0.171889 1.04848i −0.922007 0.387173i \(-0.873451\pi\)
0.750118 0.661304i \(-0.229997\pi\)
\(468\) −2.98671 + 9.52402i −0.138061 + 0.440248i
\(469\) 6.84151 31.0813i 0.315911 1.43520i
\(470\) 32.9277 34.7613i 1.51884 1.60342i
\(471\) −8.49766 12.2527i −0.391551 0.564574i
\(472\) −32.1553 + 44.7951i −1.48007 + 2.06186i
\(473\) 40.8384i 1.87775i
\(474\) −25.5086 3.90594i −1.17165 0.179406i
\(475\) 2.09399 + 0.460921i 0.0960787 + 0.0211485i
\(476\) 10.4962 0.569089i 0.481094 0.0260841i
\(477\) 7.02226 35.4508i 0.321527 1.62318i
\(478\) 28.5511 19.3581i 1.30589 0.885419i
\(479\) 25.9401 13.7526i 1.18523 0.628371i 0.245207 0.969471i \(-0.421144\pi\)
0.940027 + 0.341100i \(0.110799\pi\)
\(480\) 60.0469 + 5.88996i 2.74075 + 0.268839i
\(481\) 2.89074 + 1.33740i 0.131806 + 0.0609801i
\(482\) −2.60269 + 3.83868i −0.118549 + 0.174847i
\(483\) −10.1319 + 5.50935i −0.461016 + 0.250684i
\(484\) −15.8447 + 96.6481i −0.720212 + 4.39310i
\(485\) −22.0775 + 10.2141i −1.00249 + 0.463800i
\(486\) 15.0552 37.6329i 0.682917 1.70706i
\(487\) −1.95938 + 36.1387i −0.0887881 + 1.63760i 0.527126 + 0.849787i \(0.323270\pi\)
−0.615914 + 0.787813i \(0.711213\pi\)
\(488\) −0.808805 7.43684i −0.0366129 0.336650i
\(489\) −0.792307 6.63306i −0.0358294 0.299957i
\(490\) 28.0513 11.1767i 1.26723 0.504910i
\(491\) 1.75376 2.91478i 0.0791463 0.131542i −0.814756 0.579804i \(-0.803129\pi\)
0.893902 + 0.448262i \(0.147957\pi\)
\(492\) −40.1830 37.2667i −1.81159 1.68011i
\(493\) 1.44942 + 5.22033i 0.0652785 + 0.235112i
\(494\) 0.342216 0.290681i 0.0153970 0.0130784i
\(495\) −41.9063 + 46.1533i −1.88355 + 2.07444i
\(496\) 3.39992 + 4.47251i 0.152661 + 0.200822i
\(497\) 0.980727 + 2.91069i 0.0439916 + 0.130562i
\(498\) 19.1228 5.52744i 0.856912 0.247691i
\(499\) 2.50290 + 1.90266i 0.112045 + 0.0851745i 0.659696 0.751532i \(-0.270685\pi\)
−0.547651 + 0.836707i \(0.684478\pi\)
\(500\) −33.3788 55.4760i −1.49275 2.48096i
\(501\) −0.616175 0.128828i −0.0275287 0.00575559i
\(502\) −34.5170 36.4392i −1.54057 1.62636i
\(503\) −21.5686 + 12.9774i −0.961696 + 0.578633i −0.907570 0.419901i \(-0.862065\pi\)
−0.0541258 + 0.998534i \(0.517237\pi\)
\(504\) −35.7864 + 22.5742i −1.59405 + 1.00553i
\(505\) 15.3436 45.5383i 0.682782 2.02643i
\(506\) 46.9235 15.8104i 2.08601 0.702857i
\(507\) −6.70238 + 20.6082i −0.297663 + 0.915244i
\(508\) 33.6011 84.3323i 1.49081 3.74164i
\(509\) −2.27247 2.67536i −0.100725 0.118583i 0.709490 0.704716i \(-0.248926\pi\)
−0.810215 + 0.586133i \(0.800650\pi\)
\(510\) −14.3932 11.9665i −0.637340 0.529884i
\(511\) −0.363341 1.65067i −0.0160733 0.0730215i
\(512\) 38.6943 + 23.2816i 1.71006 + 1.02891i
\(513\) −1.03938 + 0.753826i −0.0458897 + 0.0332822i
\(514\) −58.7392 31.1416i −2.59088 1.37360i
\(515\) −27.7787 + 3.02111i −1.22407 + 0.133126i
\(516\) 51.0256 31.4393i 2.24628 1.38404i
\(517\) 7.48478 26.9578i 0.329180 1.18560i
\(518\) 9.77616 + 21.1308i 0.429540 + 0.928436i
\(519\) 16.0559 + 33.7646i 0.704777 + 1.48210i
\(520\) −18.4449 2.00600i −0.808861 0.0879689i
\(521\) 24.2007 + 16.4085i 1.06025 + 0.718868i 0.961099 0.276204i \(-0.0890765\pi\)
0.0991524 + 0.995072i \(0.468387\pi\)
\(522\) −26.4317 26.7494i −1.15688 1.17079i
\(523\) −18.5808 + 21.8750i −0.812483 + 0.956529i −0.999667 0.0257957i \(-0.991788\pi\)
0.187184 + 0.982325i \(0.440064\pi\)
\(524\) −4.67949 8.82646i −0.204425 0.385586i
\(525\) 27.5440 + 10.6391i 1.20212 + 0.464327i
\(526\) 32.0496 5.25426i 1.39743 0.229097i
\(527\) −0.0373804 0.689441i −0.00162832 0.0300325i
\(528\) 82.3205 33.8105i 3.58254 1.47141i
\(529\) 8.35881 + 7.91789i 0.363427 + 0.344256i
\(530\) 115.841 5.03181
\(531\) −15.0173 + 17.4780i −0.651694 + 0.758482i
\(532\) 2.31124 0.100205
\(533\) 3.37192 + 3.19406i 0.146054 + 0.138350i
\(534\) 2.12728 0.873714i 0.0920566 0.0378093i
\(535\) −1.28835 23.7621i −0.0557001 1.02733i
\(536\) 114.757 18.8134i 4.95674 0.812617i
\(537\) 11.1511 + 4.30720i 0.481206 + 0.185870i
\(538\) 10.6965 + 20.1758i 0.461161 + 0.869842i
\(539\) 11.4225 13.4476i 0.492000 0.579227i
\(540\) 89.9276 + 16.8289i 3.86987 + 0.724203i
\(541\) 16.0587 + 10.8881i 0.690416 + 0.468114i 0.855256 0.518207i \(-0.173400\pi\)
−0.164839 + 0.986320i \(0.552710\pi\)
\(542\) −35.9771 3.91274i −1.54535 0.168067i
\(543\) 7.87831 + 16.5676i 0.338090 + 0.710982i
\(544\) 4.44470 + 9.60707i 0.190565 + 0.411900i
\(545\) 0.147222 0.530246i 0.00630631 0.0227133i
\(546\) 5.26437 3.24363i 0.225294 0.138814i
\(547\) −12.6039 + 1.37075i −0.538903 + 0.0586092i −0.373523 0.927621i \(-0.621850\pi\)
−0.165379 + 0.986230i \(0.552885\pi\)
\(548\) 12.8084 + 6.79057i 0.547147 + 0.290079i
\(549\) −0.0659835 3.12547i −0.00281611 0.133392i
\(550\) −108.626 65.3582i −4.63184 2.78688i
\(551\) 0.256081 + 1.16339i 0.0109094 + 0.0495619i
\(552\) −32.4043 26.9409i −1.37922 1.14668i
\(553\) 7.28797 + 8.58006i 0.309916 + 0.364861i
\(554\) 11.0031 27.6158i 0.467478 1.17328i
\(555\) 9.02941 27.7633i 0.383277 1.17849i
\(556\) −99.2465 + 33.4400i −4.20899 + 1.41817i
\(557\) 8.96690 26.6128i 0.379940 1.12762i −0.571715 0.820452i \(-0.693722\pi\)
0.951655 0.307169i \(-0.0993817\pi\)
\(558\) 2.55691 + 4.05341i 0.108243 + 0.171595i
\(559\) −4.35221 + 2.61864i −0.184079 + 0.110757i
\(560\) −45.6912 48.2356i −1.93080 2.03833i
\(561\) −10.7057 2.23830i −0.451994 0.0945012i
\(562\) 22.5637 + 37.5012i 0.951794 + 1.58189i
\(563\) −31.6499 24.0596i −1.33388 1.01399i −0.997382 0.0723074i \(-0.976964\pi\)
−0.336500 0.941684i \(-0.609243\pi\)
\(564\) −39.4445 + 11.4014i −1.66091 + 0.480088i
\(565\) −11.7119 34.7596i −0.492722 1.46235i
\(566\) 20.9167 + 27.5155i 0.879195 + 1.15656i
\(567\) −15.7200 + 8.09509i −0.660178 + 0.339962i
\(568\) −8.55381 + 7.26567i −0.358910 + 0.304861i
\(569\) 4.66809 + 16.8129i 0.195697 + 0.704836i 0.994637 + 0.103426i \(0.0329804\pi\)
−0.798941 + 0.601410i \(0.794606\pi\)
\(570\) −3.01760 2.79859i −0.126393 0.117220i
\(571\) −15.1433 + 25.1683i −0.633727 + 1.05326i 0.359054 + 0.933317i \(0.383100\pi\)
−0.992780 + 0.119945i \(0.961728\pi\)
\(572\) −17.3668 + 6.91957i −0.726143 + 0.289322i
\(573\) −1.83829 15.3898i −0.0767955 0.642918i
\(574\) 3.67074 + 33.7519i 0.153214 + 1.40878i
\(575\) −1.59213 + 29.3651i −0.0663964 + 1.22461i
\(576\) −15.0484 10.9462i −0.627018 0.456090i
\(577\) 31.3989 14.5267i 1.30715 0.604754i 0.362244 0.932083i \(-0.382011\pi\)
0.944910 + 0.327329i \(0.106149\pi\)
\(578\) −6.61995 + 40.3799i −0.275354 + 1.67958i
\(579\) 4.20233 2.28507i 0.174643 0.0949644i
\(580\) 47.6344 70.2555i 1.97791 2.91720i
\(581\) −7.88100 3.64614i −0.326959 0.151267i
\(582\) 29.4817 + 2.89184i 1.22206 + 0.119871i
\(583\) 59.8028 31.7055i 2.47678 1.31311i
\(584\) 5.11173 3.46584i 0.211525 0.143417i
\(585\) −7.60575 1.50658i −0.314459 0.0622895i
\(586\) 21.5590 1.16890i 0.890596 0.0482867i
\(587\) −36.0918 7.94441i −1.48967 0.327901i −0.605793 0.795623i \(-0.707144\pi\)
−0.883876 + 0.467722i \(0.845075\pi\)
\(588\) −25.5956 3.91925i −1.05554 0.161627i
\(589\) 0.151813i 0.00625534i
\(590\) −64.3091 36.3325i −2.64756 1.49579i
\(591\) −19.9858 28.8173i −0.822106 1.18539i
\(592\) −28.6612 + 30.2573i −1.17797 + 1.24357i
\(593\) −0.163957 + 0.744863i −0.00673289 + 0.0305878i −0.979867 0.199650i \(-0.936019\pi\)
0.973134 + 0.230238i \(0.0739505\pi\)
\(594\) 72.4688 22.6151i 2.97343 0.927908i
\(595\) 1.32102 + 8.05789i 0.0541567 + 0.330341i
\(596\) 41.3212 + 60.9442i 1.69258 + 2.49637i
\(597\) −1.37199 0.708936i −0.0561519 0.0290148i
\(598\) 4.69377 + 3.98692i 0.191942 + 0.163037i
\(599\) 5.02267 10.8563i 0.205221 0.443577i −0.777448 0.628947i \(-0.783486\pi\)
0.982669 + 0.185370i \(0.0593483\pi\)
\(600\) 1.13869 + 107.886i 0.0464868 + 4.40442i
\(601\) −3.60001 + 33.1016i −0.146848 + 1.35024i 0.656317 + 0.754485i \(0.272113\pi\)
−0.803165 + 0.595757i \(0.796852\pi\)
\(602\) −36.6396 6.00675i −1.49332 0.244817i
\(603\) 48.4593 3.65462i 1.97341 0.148828i
\(604\) 32.8600 + 9.12353i 1.33705 + 0.371231i
\(605\) −75.9670 4.11881i −3.08850 0.167453i
\(606\) −44.1981 + 38.3526i −1.79543 + 1.55797i
\(607\) 17.5223 33.0505i 0.711207 1.34148i −0.219464 0.975621i \(-0.570431\pi\)
0.930671 0.365858i \(-0.119224\pi\)
\(608\) 0.861482 + 2.16216i 0.0349377 + 0.0876870i
\(609\) 1.06098 + 16.3706i 0.0429930 + 0.663368i
\(610\) 9.78626 2.15412i 0.396234 0.0872177i
\(611\) 3.35287 0.930920i 0.135643 0.0376610i
\(612\) 5.44507 + 15.0994i 0.220104 + 0.610355i
\(613\) −24.4494 9.74155i −0.987504 0.393457i −0.180223 0.983626i \(-0.557682\pi\)
−0.807280 + 0.590168i \(0.799061\pi\)
\(614\) −28.5995 + 21.7408i −1.15418 + 0.877387i
\(615\) 25.4042 34.1611i 1.02440 1.37751i
\(616\) −75.0989 25.3037i −3.02582 1.01952i
\(617\) −3.71116 + 4.88194i −0.149406 + 0.196540i −0.864707 0.502276i \(-0.832496\pi\)
0.715302 + 0.698816i \(0.246289\pi\)
\(618\) 31.0316 + 13.9610i 1.24827 + 0.561595i
\(619\) −3.63957 + 3.44758i −0.146287 + 0.138570i −0.757344 0.653016i \(-0.773503\pi\)
0.611057 + 0.791587i \(0.290745\pi\)
\(620\) −7.85340 + 7.43913i −0.315400 + 0.298763i
\(621\) −12.5095 12.3954i −0.501988 0.497411i
\(622\) 41.2865 54.3114i 1.65544 2.17769i
\(623\) −0.950709 0.320331i −0.0380894 0.0128338i
\(624\) 8.88180 + 6.60503i 0.355557 + 0.264413i
\(625\) 5.49875 4.18004i 0.219950 0.167202i
\(626\) 27.8466 + 11.0951i 1.11297 + 0.443450i
\(627\) −2.32380 0.618861i −0.0928038 0.0247149i
\(628\) −39.4920 + 10.9649i −1.57590 + 0.437547i
\(629\) 5.00229 1.10109i 0.199454 0.0439032i
\(630\) −35.2442 44.3862i −1.40416 1.76839i
\(631\) −0.223431 0.560769i −0.00889464 0.0223239i 0.924462 0.381273i \(-0.124514\pi\)
−0.933357 + 0.358949i \(0.883135\pi\)
\(632\) −19.2678 + 36.3430i −0.766433 + 1.44565i
\(633\) 28.5030 + 32.8473i 1.13289 + 1.30556i
\(634\) −23.5302 1.27577i −0.934504 0.0506673i
\(635\) 67.9475 + 18.8655i 2.69641 + 0.748655i
\(636\) −85.6533 50.3124i −3.39638 1.99502i
\(637\) 2.16556 + 0.355025i 0.0858025 + 0.0140666i
\(638\) 7.61515 70.0201i 0.301487 2.77212i
\(639\) −3.82553 + 2.71337i −0.151336 + 0.107339i
\(640\) −4.20813 + 9.09572i −0.166341 + 0.359540i
\(641\) −19.6404 16.6827i −0.775748 0.658926i 0.169408 0.985546i \(-0.445814\pi\)
−0.945156 + 0.326620i \(0.894090\pi\)
\(642\) −13.3032 + 25.7454i −0.525034 + 1.01609i
\(643\) 4.07863 + 6.01553i 0.160846 + 0.237230i 0.899568 0.436780i \(-0.143881\pi\)
−0.738723 + 0.674009i \(0.764571\pi\)
\(644\) 5.12857 + 31.2829i 0.202094 + 1.23272i
\(645\) 28.5644 + 36.7639i 1.12472 + 1.44758i
\(646\) 0.155220 0.705172i 0.00610706 0.0277446i
\(647\) −22.7094 + 23.9740i −0.892799 + 0.942517i −0.998654 0.0518647i \(-0.983484\pi\)
0.105855 + 0.994382i \(0.466242\pi\)
\(648\) −48.7393 42.4124i −1.91466 1.66612i
\(649\) −43.1437 1.15538i −1.69354 0.0453528i
\(650\) 15.7674i 0.618447i
\(651\) 0.316439 2.06658i 0.0124022 0.0809956i
\(652\) −17.9326 3.94727i −0.702295 0.154587i
\(653\) −38.9256 + 2.11049i −1.52328 + 0.0825897i −0.796650 0.604441i \(-0.793396\pi\)
−0.726628 + 0.687031i \(0.758914\pi\)
\(654\) −0.481631 + 0.465967i −0.0188332 + 0.0182207i
\(655\) 6.42319 4.35503i 0.250975 0.170165i
\(656\) −53.6940 + 28.4668i −2.09640 + 1.11144i
\(657\) 2.25423 1.25677i 0.0879459 0.0490314i
\(658\) 23.0852 + 10.6803i 0.899953 + 0.416363i
\(659\) 19.9827 29.4723i 0.778415 1.14808i −0.207072 0.978326i \(-0.566393\pi\)
0.985487 0.169751i \(-0.0542962\pi\)
\(660\) 81.8569 + 150.538i 3.18627 + 5.85967i
\(661\) 7.23267 44.1173i 0.281318 1.71597i −0.346878 0.937910i \(-0.612758\pi\)
0.628196 0.778055i \(-0.283793\pi\)
\(662\) −23.2578 + 10.7602i −0.903941 + 0.418208i
\(663\) −0.447930 1.28444i −0.0173961 0.0498837i
\(664\) 1.71780 31.6830i 0.0666637 1.22954i
\(665\) 0.194114 + 1.78485i 0.00752741 + 0.0692134i
\(666\) −26.6049 + 23.5830i −1.03092 + 0.913821i
\(667\) −15.1783 + 6.04760i −0.587708 + 0.234164i
\(668\) −0.892064 + 1.48262i −0.0345150 + 0.0573644i
\(669\) −7.13690 + 7.69541i −0.275929 + 0.297522i
\(670\) 41.6732 + 150.093i 1.60998 + 5.79861i
\(671\) 4.46257 3.79055i 0.172276 0.146332i
\(672\) 7.22026 + 31.2284i 0.278528 + 1.20466i
\(673\) −3.62626 4.77027i −0.139782 0.183880i 0.720875 0.693065i \(-0.243740\pi\)
−0.860657 + 0.509185i \(0.829947\pi\)
\(674\) −14.4715 42.9500i −0.557423 1.65437i
\(675\) −3.45341 + 44.9553i −0.132922 + 1.73033i
\(676\) 47.4204 + 36.0481i 1.82386 + 1.38646i
\(677\) 10.0902 + 16.7700i 0.387797 + 0.644524i 0.987845 0.155440i \(-0.0496796\pi\)
−0.600048 + 0.799964i \(0.704852\pi\)
\(678\) −9.14122 + 43.7219i −0.351066 + 1.67913i
\(679\) −8.88697 9.38186i −0.341051 0.360043i
\(680\) −25.5655 + 15.3822i −0.980391 + 0.589882i
\(681\) −27.4925 1.19974i −1.05351 0.0459742i
\(682\) −2.86608 + 8.50621i −0.109748 + 0.325720i
\(683\) −14.9367 + 5.03276i −0.571537 + 0.192573i −0.590206 0.807252i \(-0.700954\pi\)
0.0186693 + 0.999826i \(0.494057\pi\)
\(684\) 1.01573 + 3.37991i 0.0388376 + 0.129234i
\(685\) −4.16827 + 10.4616i −0.159261 + 0.399716i
\(686\) 33.5348 + 39.4802i 1.28036 + 1.50736i
\(687\) 0.0536725 0.0645568i 0.00204773 0.00246299i
\(688\) −14.2873 64.9079i −0.544698 2.47459i
\(689\) 7.21358 + 4.34027i 0.274815 + 0.165351i
\(690\) 31.1833 47.0535i 1.18713 1.79130i
\(691\) 19.3263 + 10.2461i 0.735205 + 0.389781i 0.793542 0.608516i \(-0.208235\pi\)
−0.0583364 + 0.998297i \(0.518580\pi\)
\(692\) 102.165 11.1111i 3.88374 0.422382i
\(693\) −30.3432 13.2681i −1.15264 0.504013i
\(694\) 4.32525 15.5781i 0.164184 0.591338i
\(695\) −34.1594 73.8343i −1.29574 2.80069i
\(696\) −54.1342 + 25.7422i −2.05195 + 0.975755i
\(697\) 7.42518 + 0.807537i 0.281249 + 0.0305876i
\(698\) 31.5571 + 21.3962i 1.19445 + 0.809859i
\(699\) 30.3744 5.30941i 1.14887 0.200820i
\(700\) 52.5430 61.8583i 1.98594 2.33803i
\(701\) −16.5941 31.2997i −0.626749 1.18217i −0.970040 0.242945i \(-0.921886\pi\)
0.343291 0.939229i \(-0.388458\pi\)
\(702\) 7.05697 + 6.27300i 0.266348 + 0.236759i
\(703\) 1.11137 0.182200i 0.0419160 0.00687178i
\(704\) −1.88688 34.8015i −0.0711146 1.31163i
\(705\) −12.1176 29.5033i −0.456374 1.11116i
\(706\) 49.2336 + 46.6365i 1.85293 + 1.75519i
\(707\) 25.5279 0.960075
\(708\) 31.7704 + 54.7954i 1.19400 + 2.05934i
\(709\) −32.4579 −1.21898 −0.609491 0.792793i \(-0.708626\pi\)
−0.609491 + 0.792793i \(0.708626\pi\)
\(710\) −10.9143 10.3385i −0.409605 0.387999i
\(711\) −9.34441 + 14.4285i −0.350443 + 0.541111i
\(712\) −0.198460 3.66038i −0.00743760 0.137179i
\(713\) 2.05481 0.336868i 0.0769531 0.0126158i
\(714\) 3.58282 9.27573i 0.134084 0.347136i
\(715\) −6.80221 12.8303i −0.254388 0.479827i
\(716\) 21.2719 25.0432i 0.794968 0.935909i
\(717\) −3.95655 22.6349i −0.147760 0.845315i
\(718\) −2.24606 1.52287i −0.0838223 0.0568329i
\(719\) −42.9555 4.67169i −1.60197 0.174225i −0.736944 0.675954i \(-0.763732\pi\)
−0.865025 + 0.501729i \(0.832697\pi\)
\(720\) 50.4585 88.0162i 1.88048 3.28017i
\(721\) −6.23286 13.4721i −0.232124 0.501728i
\(722\) −13.1743 + 47.4495i −0.490297 + 1.76589i
\(723\) 1.62060 + 2.63021i 0.0602707 + 0.0978187i
\(724\) 50.1303 5.45200i 1.86308 0.202622i
\(725\) 36.9587 + 19.5943i 1.37261 + 0.727713i
\(726\) 77.2266 + 51.1796i 2.86615 + 1.89945i
\(727\) 16.4364 + 9.88948i 0.609594 + 0.366781i 0.786631 0.617424i \(-0.211824\pi\)
−0.177037 + 0.984204i \(0.556651\pi\)
\(728\) −2.11883 9.62593i −0.0785290 0.356761i
\(729\) −18.7467 19.4310i −0.694320 0.719666i
\(730\) 5.35566 + 6.30517i 0.198222 + 0.233365i
\(731\) −3.02331 + 7.58793i −0.111821 + 0.280650i
\(732\) −8.17159 2.65763i −0.302031 0.0982289i
\(733\) 0.843171 0.284097i 0.0311432 0.0104934i −0.303687 0.952772i \(-0.598218\pi\)
0.334830 + 0.942279i \(0.391321\pi\)
\(734\) −2.82780 + 8.39260i −0.104376 + 0.309777i
\(735\) 0.876935 20.0953i 0.0323462 0.741226i
\(736\) −27.3535 + 16.4580i −1.00826 + 0.606651i
\(737\) 62.5940 + 66.0797i 2.30568 + 2.43408i
\(738\) −47.7448 + 20.2012i −1.75751 + 0.743615i
\(739\) −4.66007 7.74510i −0.171424 0.284908i 0.759221 0.650833i \(-0.225580\pi\)
−0.930644 + 0.365925i \(0.880753\pi\)
\(740\) −63.8846 48.5638i −2.34844 1.78524i
\(741\) −0.0830540 0.287334i −0.00305107 0.0105555i
\(742\) 19.6495 + 58.3176i 0.721355 + 2.14090i
\(743\) −22.9466 30.1858i −0.841830 1.10741i −0.992908 0.118886i \(-0.962068\pi\)
0.151078 0.988522i \(-0.451725\pi\)
\(744\) 7.44288 1.72086i 0.272869 0.0630896i
\(745\) −43.5936 + 37.0287i −1.59715 + 1.35663i
\(746\) 4.82995 + 17.3959i 0.176837 + 0.636910i
\(747\) 1.86852 13.1274i 0.0683656 0.480306i
\(748\) −15.4991 + 25.7597i −0.566702 + 0.941867i
\(749\) 11.7440 4.67924i 0.429116 0.170976i
\(750\) −60.8128 + 7.26399i −2.22057 + 0.265243i
\(751\) −3.65681 33.6238i −0.133439 1.22695i −0.848998 0.528397i \(-0.822793\pi\)
0.715559 0.698553i \(-0.246172\pi\)
\(752\) −2.46503 + 45.4648i −0.0898903 + 1.65793i
\(753\) −31.5698 + 11.0094i −1.15047 + 0.401207i
\(754\) 7.95045 3.67827i 0.289538 0.133955i
\(755\) −4.28581 + 26.1423i −0.155977 + 0.951416i
\(756\) 6.78178 + 48.1267i 0.246651 + 1.75035i
\(757\) −14.4335 + 21.2878i −0.524595 + 0.773719i −0.994014 0.109256i \(-0.965153\pi\)
0.469419 + 0.882976i \(0.344463\pi\)
\(758\) 85.5358 + 39.5731i 3.10680 + 1.43736i
\(759\) 3.21990 32.8262i 0.116875 1.19152i
\(760\) −5.79605 + 3.07287i −0.210245 + 0.111465i
\(761\) −20.7012 + 14.0357i −0.750417 + 0.508795i −0.875421 0.483361i \(-0.839416\pi\)
0.125004 + 0.992156i \(0.460106\pi\)
\(762\) −59.7105 61.7177i −2.16308 2.23580i
\(763\) 0.291913 0.0158271i 0.0105680 0.000572979i
\(764\) −41.6067 9.15832i −1.50528 0.331336i
\(765\) −11.2031 + 5.47309i −0.405050 + 0.197880i
\(766\) 13.5440i 0.489366i
\(767\) −2.64333 4.67198i −0.0954451 0.168695i
\(768\) 27.6851 19.2006i 0.999000 0.692841i
\(769\) −6.84335 + 7.22443i −0.246777 + 0.260520i −0.837603 0.546280i \(-0.816044\pi\)
0.590825 + 0.806799i \(0.298802\pi\)
\(770\) 22.8198 103.671i 0.822368 3.73605i
\(771\) −34.9716 + 27.1719i −1.25947 + 0.978570i
\(772\) −2.12714 12.9750i −0.0765575 0.466980i
\(773\) −18.1574 26.7802i −0.653078