Properties

Label 483.2.y.b.4.12
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.12
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.746582 - 1.04843i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.112320 + 0.324527i) q^{4} +(0.116881 - 2.45363i) q^{5} +(-0.842861 - 0.972713i) q^{6} +(-2.38903 - 1.13690i) q^{7} +(2.89400 + 0.849754i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(0.746582 - 1.04843i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.112320 + 0.324527i) q^{4} +(0.116881 - 2.45363i) q^{5} +(-0.842861 - 0.972713i) q^{6} +(-2.38903 - 1.13690i) q^{7} +(2.89400 + 0.849754i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(-2.48519 - 1.95438i) q^{10} +(-0.181337 - 0.254653i) q^{11} +(0.341860 - 0.0326436i) q^{12} +(0.439240 - 3.05498i) q^{13} +(-2.97557 + 1.65593i) q^{14} +(-2.35691 - 0.692052i) q^{15} +(2.51163 - 1.97516i) q^{16} +(2.40718 - 0.463945i) q^{17} +(-1.14401 + 0.589776i) q^{18} +(-3.89074 - 0.749879i) q^{19} +(0.809398 - 0.237661i) q^{20} +(-1.66809 + 2.05365i) q^{21} -0.402368 q^{22} +(-4.70748 - 0.916301i) q^{23} +(1.50809 - 2.61208i) q^{24} +(-1.02929 - 0.0982853i) q^{25} +(-2.87500 - 2.74130i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(0.100621 - 0.903001i) q^{28} +(5.95186 + 6.86881i) q^{29} +(-2.48519 + 1.95438i) q^{30} +(3.45385 - 3.29324i) q^{31} +(0.0913479 + 1.91763i) q^{32} +(-0.290226 + 0.116189i) q^{33} +(1.31074 - 2.87012i) q^{34} +(-3.06878 + 5.72891i) q^{35} +(0.0488730 - 0.339919i) q^{36} +(-1.40333 - 0.723468i) q^{37} +(-3.69095 + 3.51931i) q^{38} +(-2.86531 - 1.14710i) q^{39} +(2.42324 - 7.00148i) q^{40} +(1.74865 + 1.12379i) q^{41} +(0.907734 + 3.28209i) q^{42} +(5.16204 - 1.51571i) q^{43} +(0.0622739 - 0.0874514i) q^{44} +(-1.22821 + 2.12732i) q^{45} +(-4.47520 + 4.25136i) q^{46} +(-1.62544 - 2.81535i) q^{47} +(-1.32735 - 2.90649i) q^{48} +(4.41489 + 5.43219i) q^{49} +(-0.871495 + 1.00576i) q^{50} +(0.116646 - 2.44870i) q^{51} +(1.04076 - 0.200590i) q^{52} +(-1.02151 - 0.408950i) q^{53} +(0.303442 + 1.25080i) q^{54} +(-0.646019 + 0.415171i) q^{55} +(-5.94774 - 5.32028i) q^{56} +(-1.64602 + 3.60428i) q^{57} +(11.6450 - 1.11196i) q^{58} +(6.34678 + 4.99117i) q^{59} +(-0.0401386 - 0.842613i) q^{60} +(0.958744 + 3.95200i) q^{61} +(-0.874140 - 6.07978i) q^{62} +(1.60249 + 2.10524i) q^{63} +(7.45470 + 4.79085i) q^{64} +(-7.44446 - 1.43480i) q^{65} +(-0.0948619 + 0.391026i) q^{66} +(2.74629 + 0.262239i) q^{67} +(0.420937 + 0.729083i) q^{68} +(-2.00030 + 4.35876i) q^{69} +(3.71525 + 7.49449i) q^{70} +(1.70697 + 3.73775i) q^{71} +(-2.18291 - 2.08140i) q^{72} +(-1.47255 - 4.25466i) q^{73} +(-1.80621 + 0.931164i) q^{74} +(-0.338179 + 0.977105i) q^{75} +(-0.193652 - 1.34688i) q^{76} +(0.143704 + 0.814535i) q^{77} +(-3.34184 + 2.14767i) q^{78} +(-12.8389 + 5.13993i) q^{79} +(-4.55277 - 6.39347i) q^{80} +(0.580057 + 0.814576i) q^{81} +(2.48372 - 0.994332i) q^{82} +(0.742717 - 0.477315i) q^{83} +(-0.853824 - 0.310675i) q^{84} +(-0.856998 - 5.96055i) q^{85} +(2.26477 - 6.54363i) q^{86} +(8.07839 - 4.16470i) q^{87} +(-0.308397 - 0.891056i) q^{88} +(10.4556 + 9.96938i) q^{89} +(1.31338 + 2.87590i) q^{90} +(-4.52258 + 6.79905i) q^{91} +(-0.231380 - 1.63062i) q^{92} +(-2.38613 - 4.13290i) q^{93} +(-4.16521 - 0.397730i) q^{94} +(-2.29468 + 9.45880i) q^{95} +(1.88511 + 0.363325i) q^{96} +(2.31670 + 1.48885i) q^{97} +(8.99134 - 0.573122i) q^{98} +(0.0444905 + 0.309438i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.746582 1.04843i 0.527913 0.741350i −0.461394 0.887195i \(-0.652651\pi\)
0.989307 + 0.145845i \(0.0465900\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) 0.112320 + 0.324527i 0.0561599 + 0.162264i
\(5\) 0.116881 2.45363i 0.0522707 1.09730i −0.808562 0.588410i \(-0.799754\pi\)
0.860833 0.508887i \(-0.169943\pi\)
\(6\) −0.842861 0.972713i −0.344096 0.397109i
\(7\) −2.38903 1.13690i −0.902967 0.429710i
\(8\) 2.89400 + 0.849754i 1.02318 + 0.300433i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) −2.48519 1.95438i −0.785888 0.618029i
\(11\) −0.181337 0.254653i −0.0546753 0.0767807i 0.786333 0.617803i \(-0.211977\pi\)
−0.841008 + 0.541022i \(0.818038\pi\)
\(12\) 0.341860 0.0326436i 0.0986863 0.00942340i
\(13\) 0.439240 3.05498i 0.121823 0.847299i −0.833665 0.552270i \(-0.813762\pi\)
0.955488 0.295029i \(-0.0953292\pi\)
\(14\) −2.97557 + 1.65593i −0.795254 + 0.442566i
\(15\) −2.35691 0.692052i −0.608552 0.178687i
\(16\) 2.51163 1.97516i 0.627907 0.493791i
\(17\) 2.40718 0.463945i 0.583826 0.112523i 0.111218 0.993796i \(-0.464525\pi\)
0.472608 + 0.881273i \(0.343313\pi\)
\(18\) −1.14401 + 0.589776i −0.269645 + 0.139012i
\(19\) −3.89074 0.749879i −0.892597 0.172034i −0.277725 0.960661i \(-0.589580\pi\)
−0.614872 + 0.788627i \(0.710792\pi\)
\(20\) 0.809398 0.237661i 0.180987 0.0531425i
\(21\) −1.66809 + 2.05365i −0.364007 + 0.448143i
\(22\) −0.402368 −0.0857852
\(23\) −4.70748 0.916301i −0.981578 0.191062i
\(24\) 1.50809 2.61208i 0.307837 0.533189i
\(25\) −1.02929 0.0982853i −0.205858 0.0196571i
\(26\) −2.87500 2.74130i −0.563833 0.537614i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) 0.100621 0.903001i 0.0190156 0.170651i
\(29\) 5.95186 + 6.86881i 1.10523 + 1.27551i 0.958114 + 0.286387i \(0.0924543\pi\)
0.147118 + 0.989119i \(0.453000\pi\)
\(30\) −2.48519 + 1.95438i −0.453732 + 0.356819i
\(31\) 3.45385 3.29324i 0.620329 0.591483i −0.313330 0.949644i \(-0.601445\pi\)
0.933660 + 0.358161i \(0.116596\pi\)
\(32\) 0.0913479 + 1.91763i 0.0161482 + 0.338992i
\(33\) −0.290226 + 0.116189i −0.0505219 + 0.0202259i
\(34\) 1.31074 2.87012i 0.224790 0.492222i
\(35\) −3.06878 + 5.72891i −0.518718 + 0.968363i
\(36\) 0.0488730 0.339919i 0.00814550 0.0566532i
\(37\) −1.40333 0.723468i −0.230706 0.118937i 0.338998 0.940787i \(-0.389912\pi\)
−0.569704 + 0.821850i \(0.692942\pi\)
\(38\) −3.69095 + 3.51931i −0.598751 + 0.570908i
\(39\) −2.86531 1.14710i −0.458817 0.183683i
\(40\) 2.42324 7.00148i 0.383147 1.10703i
\(41\) 1.74865 + 1.12379i 0.273093 + 0.175506i 0.670018 0.742345i \(-0.266286\pi\)
−0.396925 + 0.917851i \(0.629923\pi\)
\(42\) 0.907734 + 3.28209i 0.140066 + 0.506438i
\(43\) 5.16204 1.51571i 0.787204 0.231144i 0.136665 0.990617i \(-0.456361\pi\)
0.650538 + 0.759473i \(0.274543\pi\)
\(44\) 0.0622739 0.0874514i 0.00938814 0.0131838i
\(45\) −1.22821 + 2.12732i −0.183090 + 0.317122i
\(46\) −4.47520 + 4.25136i −0.659832 + 0.626829i
\(47\) −1.62544 2.81535i −0.237095 0.410661i 0.722784 0.691074i \(-0.242862\pi\)
−0.959879 + 0.280413i \(0.909529\pi\)
\(48\) −1.32735 2.90649i −0.191586 0.419516i
\(49\) 4.41489 + 5.43219i 0.630699 + 0.776027i
\(50\) −0.871495 + 1.00576i −0.123248 + 0.142236i
\(51\) 0.116646 2.44870i 0.0163337 0.342887i
\(52\) 1.04076 0.200590i 0.144327 0.0278168i
\(53\) −1.02151 0.408950i −0.140315 0.0561737i 0.300442 0.953800i \(-0.402866\pi\)
−0.440757 + 0.897626i \(0.645290\pi\)
\(54\) 0.303442 + 1.25080i 0.0412932 + 0.170213i
\(55\) −0.646019 + 0.415171i −0.0871092 + 0.0559817i
\(56\) −5.94774 5.32028i −0.794801 0.710953i
\(57\) −1.64602 + 3.60428i −0.218020 + 0.477398i
\(58\) 11.6450 1.11196i 1.52906 0.146008i
\(59\) 6.34678 + 4.99117i 0.826281 + 0.649795i 0.939032 0.343829i \(-0.111724\pi\)
−0.112751 + 0.993623i \(0.535966\pi\)
\(60\) −0.0401386 0.842613i −0.00518187 0.108781i
\(61\) 0.958744 + 3.95200i 0.122755 + 0.506002i 0.999678 + 0.0253715i \(0.00807685\pi\)
−0.876923 + 0.480630i \(0.840408\pi\)
\(62\) −0.874140 6.07978i −0.111016 0.772133i
\(63\) 1.60249 + 2.10524i 0.201895 + 0.265235i
\(64\) 7.45470 + 4.79085i 0.931838 + 0.598856i
\(65\) −7.44446 1.43480i −0.923371 0.177965i
\(66\) −0.0948619 + 0.391026i −0.0116767 + 0.0481320i
\(67\) 2.74629 + 0.262239i 0.335512 + 0.0320376i 0.261453 0.965216i \(-0.415798\pi\)
0.0740596 + 0.997254i \(0.476404\pi\)
\(68\) 0.420937 + 0.729083i 0.0510461 + 0.0884144i
\(69\) −2.00030 + 4.35876i −0.240808 + 0.524733i
\(70\) 3.71525 + 7.49449i 0.444058 + 0.895763i
\(71\) 1.70697 + 3.73775i 0.202580 + 0.443589i 0.983468 0.181082i \(-0.0579601\pi\)
−0.780888 + 0.624672i \(0.785233\pi\)
\(72\) −2.18291 2.08140i −0.257258 0.245295i
\(73\) −1.47255 4.25466i −0.172349 0.497970i 0.825435 0.564497i \(-0.190930\pi\)
−0.997785 + 0.0665261i \(0.978808\pi\)
\(74\) −1.80621 + 0.931164i −0.209967 + 0.108246i
\(75\) −0.338179 + 0.977105i −0.0390496 + 0.112826i
\(76\) −0.193652 1.34688i −0.0222134 0.154497i
\(77\) 0.143704 + 0.814535i 0.0163766 + 0.0928249i
\(78\) −3.34184 + 2.14767i −0.378389 + 0.243176i
\(79\) −12.8389 + 5.13993i −1.44449 + 0.578287i −0.955760 0.294147i \(-0.904964\pi\)
−0.488732 + 0.872434i \(0.662540\pi\)
\(80\) −4.55277 6.39347i −0.509015 0.714811i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) 2.48372 0.994332i 0.274281 0.109806i
\(83\) 0.742717 0.477315i 0.0815238 0.0523922i −0.499244 0.866462i \(-0.666389\pi\)
0.580768 + 0.814069i \(0.302752\pi\)
\(84\) −0.853824 0.310675i −0.0931599 0.0338974i
\(85\) −0.856998 5.96055i −0.0929545 0.646513i
\(86\) 2.26477 6.54363i 0.244217 0.705618i
\(87\) 8.07839 4.16470i 0.866094 0.446503i
\(88\) −0.308397 0.891056i −0.0328753 0.0949869i
\(89\) 10.4556 + 9.96938i 1.10829 + 1.05675i 0.998023 + 0.0628499i \(0.0200189\pi\)
0.110267 + 0.993902i \(0.464830\pi\)
\(90\) 1.31338 + 2.87590i 0.138443 + 0.303147i
\(91\) −4.52258 + 6.79905i −0.474095 + 0.712735i
\(92\) −0.231380 1.63062i −0.0241230 0.170004i
\(93\) −2.38613 4.13290i −0.247430 0.428562i
\(94\) −4.16521 0.397730i −0.429609 0.0410227i
\(95\) −2.29468 + 9.45880i −0.235429 + 0.970452i
\(96\) 1.88511 + 0.363325i 0.192398 + 0.0370817i
\(97\) 2.31670 + 1.48885i 0.235225 + 0.151170i 0.652944 0.757407i \(-0.273534\pi\)
−0.417719 + 0.908576i \(0.637170\pi\)
\(98\) 8.99134 0.573122i 0.908263 0.0578941i
\(99\) 0.0444905 + 0.309438i 0.00447146 + 0.0310997i
\(100\) −0.0837135 0.345072i −0.00837135 0.0345072i
\(101\) 0.263527 + 5.53211i 0.0262219 + 0.550465i 0.973310 + 0.229493i \(0.0737067\pi\)
−0.947088 + 0.320973i \(0.895990\pi\)
\(102\) −2.48020 1.95045i −0.245576 0.193123i
\(103\) 15.7230 1.50136i 1.54923 0.147933i 0.714910 0.699216i \(-0.246468\pi\)
0.834318 + 0.551283i \(0.185861\pi\)
\(104\) 3.86714 8.46785i 0.379204 0.830341i
\(105\) 4.84393 + 4.33292i 0.472719 + 0.422849i
\(106\) −1.19140 + 0.765663i −0.115719 + 0.0743678i
\(107\) −0.922776 3.80374i −0.0892082 0.367721i 0.909656 0.415362i \(-0.136345\pi\)
−0.998865 + 0.0476406i \(0.984830\pi\)
\(108\) −0.318815 0.127634i −0.0306780 0.0122816i
\(109\) 6.62532 1.27693i 0.634591 0.122307i 0.138197 0.990405i \(-0.455869\pi\)
0.496394 + 0.868097i \(0.334657\pi\)
\(110\) −0.0470292 + 0.987264i −0.00448405 + 0.0941319i
\(111\) −1.03392 + 1.19321i −0.0981356 + 0.113255i
\(112\) −8.24592 + 1.86324i −0.779166 + 0.176060i
\(113\) 0.817366 + 1.78978i 0.0768913 + 0.168368i 0.944174 0.329448i \(-0.106863\pi\)
−0.867282 + 0.497816i \(0.834135\pi\)
\(114\) 2.54994 + 4.41662i 0.238823 + 0.413654i
\(115\) −2.79848 + 11.4433i −0.260960 + 1.06710i
\(116\) −1.56060 + 2.70304i −0.144898 + 0.250971i
\(117\) −1.79028 + 2.51410i −0.165512 + 0.232429i
\(118\) 9.97127 2.92783i 0.917930 0.269529i
\(119\) −6.27827 1.62835i −0.575528 0.149271i
\(120\) −6.23282 4.00559i −0.568976 0.365659i
\(121\) 3.56578 10.3027i 0.324162 0.936605i
\(122\) 4.85917 + 1.94532i 0.439928 + 0.176121i
\(123\) 1.50437 1.43441i 0.135644 0.129337i
\(124\) 1.45668 + 0.750971i 0.130814 + 0.0674392i
\(125\) 1.38646 9.64305i 0.124009 0.862500i
\(126\) 3.40358 0.108365i 0.303215 0.00965390i
\(127\) 2.80632 6.14499i 0.249021 0.545280i −0.743302 0.668956i \(-0.766741\pi\)
0.992323 + 0.123677i \(0.0394686\pi\)
\(128\) 7.02384 2.81192i 0.620825 0.248541i
\(129\) −0.255989 5.37387i −0.0225386 0.473143i
\(130\) −7.06218 + 6.73378i −0.619395 + 0.590592i
\(131\) 4.17066 3.27984i 0.364392 0.286561i −0.419129 0.907927i \(-0.637664\pi\)
0.783521 + 0.621366i \(0.213422\pi\)
\(132\) −0.0703047 0.0811360i −0.00611924 0.00706198i
\(133\) 8.44254 + 6.21488i 0.732061 + 0.538899i
\(134\) 2.32527 2.68350i 0.200872 0.231819i
\(135\) 1.77779 + 1.69512i 0.153008 + 0.145893i
\(136\) 7.36060 + 0.702852i 0.631166 + 0.0602690i
\(137\) −7.70510 + 13.3456i −0.658291 + 1.14019i 0.322767 + 0.946479i \(0.395387\pi\)
−0.981058 + 0.193715i \(0.937946\pi\)
\(138\) 3.07645 + 5.35134i 0.261885 + 0.455537i
\(139\) −2.05168 −0.174022 −0.0870108 0.996207i \(-0.527731\pi\)
−0.0870108 + 0.996207i \(0.527731\pi\)
\(140\) −2.20387 0.352431i −0.186261 0.0297858i
\(141\) −3.11920 + 0.915880i −0.262684 + 0.0771310i
\(142\) 5.19315 + 1.00090i 0.435800 + 0.0839935i
\(143\) −0.857610 + 0.442128i −0.0717169 + 0.0369726i
\(144\) −3.13750 + 0.604703i −0.261458 + 0.0503919i
\(145\) 17.5492 13.8008i 1.45738 1.14610i
\(146\) −5.56009 1.63259i −0.460156 0.135114i
\(147\) 6.31992 3.00976i 0.521258 0.248241i
\(148\) 0.0771628 0.536679i 0.00634274 0.0441148i
\(149\) 10.8749 1.03842i 0.890903 0.0850709i 0.360443 0.932781i \(-0.382625\pi\)
0.530460 + 0.847710i \(0.322019\pi\)
\(150\) 0.771945 + 1.08405i 0.0630291 + 0.0885119i
\(151\) −12.1427 9.54909i −0.988156 0.777094i −0.0132956 0.999912i \(-0.504232\pi\)
−0.974860 + 0.222817i \(0.928475\pi\)
\(152\) −10.6226 5.47632i −0.861604 0.444188i
\(153\) −2.35218 0.690661i −0.190162 0.0558366i
\(154\) 0.961268 + 0.457454i 0.0774612 + 0.0368627i
\(155\) −7.67670 8.85939i −0.616608 0.711603i
\(156\) 0.0504327 1.05871i 0.00403785 0.0847648i
\(157\) −4.69565 13.5672i −0.374754 1.08278i −0.961924 0.273317i \(-0.911879\pi\)
0.587170 0.809463i \(-0.300242\pi\)
\(158\) −4.19646 + 17.2981i −0.333853 + 1.37616i
\(159\) −0.638253 + 0.896300i −0.0506167 + 0.0710812i
\(160\) 4.71583 0.372819
\(161\) 10.2046 + 7.54103i 0.804232 + 0.594316i
\(162\) 1.28708 0.101123
\(163\) −8.18930 + 11.5003i −0.641435 + 0.900770i −0.999457 0.0329434i \(-0.989512\pi\)
0.358022 + 0.933713i \(0.383451\pi\)
\(164\) −0.168292 + 0.693707i −0.0131414 + 0.0541694i
\(165\) 0.251163 + 0.725689i 0.0195530 + 0.0564948i
\(166\) 0.0540686 1.13504i 0.00419654 0.0880962i
\(167\) −0.0430441 0.0496755i −0.00333085 0.00384401i 0.754082 0.656781i \(-0.228082\pi\)
−0.757413 + 0.652937i \(0.773537\pi\)
\(168\) −6.57254 + 4.52578i −0.507083 + 0.349172i
\(169\) 3.33344 + 0.978786i 0.256418 + 0.0752912i
\(170\) −6.88903 3.55154i −0.528364 0.272391i
\(171\) 3.11461 + 2.44936i 0.238180 + 0.187307i
\(172\) 1.07169 + 1.50498i 0.0817155 + 0.114753i
\(173\) −24.9349 + 2.38099i −1.89577 + 0.181024i −0.976922 0.213598i \(-0.931482\pi\)
−0.918844 + 0.394622i \(0.870876\pi\)
\(174\) 1.66479 11.5789i 0.126208 0.877794i
\(175\) 2.34726 + 1.40501i 0.177436 + 0.106209i
\(176\) −0.958433 0.281421i −0.0722446 0.0212129i
\(177\) 6.34678 4.99117i 0.477054 0.375159i
\(178\) 18.2581 3.51896i 1.36850 0.263758i
\(179\) −18.3292 + 9.44934i −1.36999 + 0.706277i −0.976994 0.213266i \(-0.931590\pi\)
−0.392991 + 0.919542i \(0.628560\pi\)
\(180\) −0.828324 0.159646i −0.0617396 0.0118993i
\(181\) −25.1225 + 7.37664i −1.86734 + 0.548301i −0.868751 + 0.495249i \(0.835077\pi\)
−0.998592 + 0.0530522i \(0.983105\pi\)
\(182\) 3.75184 + 9.81765i 0.278105 + 0.727732i
\(183\) 4.06663 0.300614
\(184\) −12.8448 6.65197i −0.946931 0.490390i
\(185\) −1.93915 + 3.35870i −0.142569 + 0.246937i
\(186\) −6.11449 0.583863i −0.448336 0.0428109i
\(187\) −0.554656 0.528863i −0.0405605 0.0386743i
\(188\) 0.731087 0.843719i 0.0533200 0.0615345i
\(189\) 2.42369 1.06099i 0.176298 0.0771758i
\(190\) 8.20370 + 9.46758i 0.595159 + 0.686850i
\(191\) −3.44763 + 2.71124i −0.249462 + 0.196179i −0.735058 0.678005i \(-0.762845\pi\)
0.485596 + 0.874183i \(0.338603\pi\)
\(192\) 6.41331 6.11508i 0.462841 0.441318i
\(193\) −0.705077 14.8014i −0.0507526 1.06543i −0.870333 0.492463i \(-0.836097\pi\)
0.819581 0.572964i \(-0.194206\pi\)
\(194\) 3.29055 1.31734i 0.236248 0.0945794i
\(195\) −3.14945 + 6.89634i −0.225537 + 0.493857i
\(196\) −1.26701 + 2.04290i −0.0905009 + 0.145921i
\(197\) −3.01833 + 20.9929i −0.215047 + 1.49568i 0.540919 + 0.841074i \(0.318076\pi\)
−0.755966 + 0.654610i \(0.772833\pi\)
\(198\) 0.357639 + 0.184376i 0.0254163 + 0.0131030i
\(199\) −10.2536 + 9.77682i −0.726861 + 0.693061i −0.960193 0.279336i \(-0.909886\pi\)
0.233332 + 0.972397i \(0.425037\pi\)
\(200\) −2.89524 1.15908i −0.204725 0.0819594i
\(201\) 0.902308 2.60705i 0.0636439 0.183887i
\(202\) 5.99676 + 3.85388i 0.421931 + 0.271158i
\(203\) −6.40996 23.1765i −0.449891 1.62667i
\(204\) 0.807771 0.237183i 0.0565553 0.0166061i
\(205\) 2.96175 4.15919i 0.206857 0.290490i
\(206\) 10.1644 17.6053i 0.708188 1.22662i
\(207\) 3.76430 + 2.97153i 0.261637 + 0.206536i
\(208\) −4.93088 8.54054i −0.341895 0.592180i
\(209\) 0.514578 + 1.12677i 0.0355941 + 0.0779402i
\(210\) 8.15914 1.84363i 0.563034 0.127223i
\(211\) −13.1641 + 15.1921i −0.906251 + 1.04587i 0.0924906 + 0.995714i \(0.470517\pi\)
−0.998741 + 0.0501556i \(0.984028\pi\)
\(212\) 0.0179797 0.377440i 0.00123485 0.0259227i
\(213\) 4.03482 0.777648i 0.276461 0.0532836i
\(214\) −4.67687 1.87234i −0.319704 0.127990i
\(215\) −3.11566 12.8429i −0.212486 0.875879i
\(216\) −2.53736 + 1.63067i −0.172646 + 0.110953i
\(217\) −11.9954 + 3.94093i −0.814303 + 0.267528i
\(218\) 3.60758 7.89950i 0.244336 0.535022i
\(219\) −4.48190 + 0.427969i −0.302858 + 0.0289195i
\(220\) −0.207295 0.163019i −0.0139758 0.0109907i
\(221\) −0.360016 7.55766i −0.0242173 0.508383i
\(222\) 0.479087 + 1.97482i 0.0321542 + 0.132541i
\(223\) −0.151938 1.05675i −0.0101745 0.0707653i 0.984102 0.177607i \(-0.0568354\pi\)
−0.994276 + 0.106841i \(0.965926\pi\)
\(224\) 1.96193 4.68512i 0.131087 0.313038i
\(225\) 0.869833 + 0.559008i 0.0579889 + 0.0372672i
\(226\) 2.48669 + 0.479270i 0.165412 + 0.0318805i
\(227\) −4.43142 + 18.2666i −0.294124 + 1.21239i 0.612506 + 0.790466i \(0.290162\pi\)
−0.906629 + 0.421928i \(0.861354\pi\)
\(228\) −1.35457 0.129345i −0.0897083 0.00856610i
\(229\) −14.8440 25.7105i −0.980917 1.69900i −0.658836 0.752287i \(-0.728951\pi\)
−0.322081 0.946712i \(-0.604382\pi\)
\(230\) 9.90821 + 11.4774i 0.653328 + 0.756797i
\(231\) 0.825454 + 0.0523809i 0.0543109 + 0.00344641i
\(232\) 11.3879 + 24.9359i 0.747649 + 1.63712i
\(233\) 13.1169 + 12.5069i 0.859317 + 0.819357i 0.984971 0.172717i \(-0.0552546\pi\)
−0.125655 + 0.992074i \(0.540103\pi\)
\(234\) 1.29926 + 3.75397i 0.0849354 + 0.245405i
\(235\) −7.09781 + 3.65918i −0.463010 + 0.238698i
\(236\) −0.906898 + 2.62031i −0.0590340 + 0.170568i
\(237\) 1.96815 + 13.6888i 0.127845 + 0.889183i
\(238\) −6.39445 + 5.36661i −0.414491 + 0.347866i
\(239\) 12.2648 7.88208i 0.793341 0.509849i −0.0800958 0.996787i \(-0.525523\pi\)
0.873437 + 0.486938i \(0.161886\pi\)
\(240\) −7.28660 + 2.91711i −0.470348 + 0.188299i
\(241\) 5.15482 + 7.23893i 0.332051 + 0.466300i 0.946522 0.322639i \(-0.104570\pi\)
−0.614471 + 0.788939i \(0.710631\pi\)
\(242\) −8.13944 11.4302i −0.523223 0.734764i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) −1.17484 + 0.755026i −0.0752117 + 0.0483356i
\(245\) 13.8446 10.1976i 0.884500 0.651501i
\(246\) −0.380744 2.64813i −0.0242753 0.168839i
\(247\) −3.99983 + 11.5568i −0.254503 + 0.735339i
\(248\) 12.7939 6.59569i 0.812411 0.418827i
\(249\) −0.288758 0.834313i −0.0182993 0.0528724i
\(250\) −9.07493 8.65293i −0.573949 0.547259i
\(251\) −1.30154 2.84999i −0.0821528 0.179889i 0.864098 0.503324i \(-0.167890\pi\)
−0.946251 + 0.323434i \(0.895162\pi\)
\(252\) −0.503214 + 0.756512i −0.0316995 + 0.0476558i
\(253\) 0.620304 + 1.36493i 0.0389982 + 0.0858126i
\(254\) −4.34743 7.52996i −0.272782 0.472472i
\(255\) −5.99458 0.572413i −0.375395 0.0358459i
\(256\) −1.88254 + 7.75995i −0.117659 + 0.484997i
\(257\) 27.8022 + 5.35843i 1.73425 + 0.334250i 0.955926 0.293609i \(-0.0948564\pi\)
0.778327 + 0.627859i \(0.216068\pi\)
\(258\) −5.82523 3.74365i −0.362663 0.233070i
\(259\) 2.53008 + 3.32384i 0.157212 + 0.206533i
\(260\) −0.370529 2.57708i −0.0229792 0.159824i
\(261\) −2.14275 8.83254i −0.132633 0.546720i
\(262\) −0.324939 6.82130i −0.0200748 0.421421i
\(263\) −24.2768 19.0915i −1.49697 1.17723i −0.937305 0.348510i \(-0.886688\pi\)
−0.559664 0.828720i \(-0.689070\pi\)
\(264\) −0.938646 + 0.0896298i −0.0577697 + 0.00551633i
\(265\) −1.12281 + 2.45861i −0.0689736 + 0.151031i
\(266\) 12.8189 4.21148i 0.785977 0.258222i
\(267\) 12.1534 7.81049i 0.743773 0.477994i
\(268\) 0.223359 + 0.920699i 0.0136438 + 0.0562406i
\(269\) −3.94559 1.57957i −0.240567 0.0963083i 0.248246 0.968697i \(-0.420146\pi\)
−0.488813 + 0.872389i \(0.662570\pi\)
\(270\) 3.10448 0.598339i 0.188932 0.0364138i
\(271\) 0.745737 15.6549i 0.0453003 0.950970i −0.855786 0.517330i \(-0.826926\pi\)
0.901086 0.433640i \(-0.142771\pi\)
\(272\) 5.12956 5.91983i 0.311025 0.358942i
\(273\) 5.54116 + 5.99803i 0.335366 + 0.363017i
\(274\) 8.23943 + 18.0418i 0.497762 + 1.08995i
\(275\) 0.161620 + 0.279934i 0.00974607 + 0.0168807i
\(276\) −1.63921 0.159577i −0.0986688 0.00960540i
\(277\) 8.90082 15.4167i 0.534799 0.926298i −0.464375 0.885639i \(-0.653721\pi\)
0.999173 0.0406593i \(-0.0129458\pi\)
\(278\) −1.53175 + 2.15104i −0.0918683 + 0.129011i
\(279\) −4.57895 + 1.34450i −0.274135 + 0.0804932i
\(280\) −13.7492 + 13.9717i −0.821671 + 0.834971i
\(281\) −23.8233 15.3103i −1.42118 0.913336i −0.999980 0.00636811i \(-0.997973\pi\)
−0.421199 0.906968i \(-0.638391\pi\)
\(282\) −1.36850 + 3.95403i −0.0814933 + 0.235459i
\(283\) −19.5090 7.81021i −1.15969 0.464269i −0.289591 0.957150i \(-0.593519\pi\)
−0.870096 + 0.492882i \(0.835944\pi\)
\(284\) −1.02127 + 0.973782i −0.0606014 + 0.0577833i
\(285\) 8.65118 + 4.45999i 0.512452 + 0.264187i
\(286\) −0.176736 + 1.22923i −0.0104506 + 0.0726857i
\(287\) −2.89993 4.67281i −0.171177 0.275827i
\(288\) 0.797515 1.74632i 0.0469940 0.102903i
\(289\) −10.2030 + 4.08467i −0.600177 + 0.240274i
\(290\) −1.36727 28.7025i −0.0802888 1.68547i
\(291\) 1.99306 1.90038i 0.116835 0.111402i
\(292\) 1.21536 0.955766i 0.0711233 0.0559320i
\(293\) 3.57212 + 4.12244i 0.208685 + 0.240836i 0.850437 0.526077i \(-0.176338\pi\)
−0.641752 + 0.766912i \(0.721792\pi\)
\(294\) 1.56282 8.87301i 0.0911457 0.517484i
\(295\) 12.9883 14.9893i 0.756208 0.872711i
\(296\) −3.44647 3.28620i −0.200322 0.191007i
\(297\) 0.311204 + 0.0297164i 0.0180579 + 0.00172432i
\(298\) 7.03026 12.1768i 0.407252 0.705381i
\(299\) −4.86699 + 13.9788i −0.281466 + 0.808414i
\(300\) −0.355081 −0.0205006
\(301\) −14.0555 2.24767i −0.810144 0.129554i
\(302\) −19.0770 + 5.60152i −1.09776 + 0.322331i
\(303\) 5.43829 + 1.04815i 0.312422 + 0.0602144i
\(304\) −11.2532 + 5.80144i −0.645416 + 0.332735i
\(305\) 9.80881 1.89049i 0.561651 0.108249i
\(306\) −2.48020 + 1.95045i −0.141784 + 0.111500i
\(307\) −19.9906 5.86978i −1.14092 0.335006i −0.343932 0.938995i \(-0.611759\pi\)
−0.796993 + 0.603989i \(0.793577\pi\)
\(308\) −0.248198 + 0.138124i −0.0141424 + 0.00787036i
\(309\) 2.24779 15.6337i 0.127872 0.889371i
\(310\) −15.0197 + 1.43421i −0.853062 + 0.0814576i
\(311\) 2.23209 + 3.13453i 0.126570 + 0.177743i 0.872999 0.487723i \(-0.162172\pi\)
−0.746428 + 0.665466i \(0.768233\pi\)
\(312\) −7.31744 5.75450i −0.414269 0.325785i
\(313\) −15.0303 7.74864i −0.849561 0.437979i −0.0222697 0.999752i \(-0.507089\pi\)
−0.827292 + 0.561773i \(0.810120\pi\)
\(314\) −17.7299 5.20597i −1.00056 0.293790i
\(315\) 5.35278 3.68586i 0.301595 0.207675i
\(316\) −3.11011 3.58926i −0.174957 0.201912i
\(317\) −0.687206 + 14.4262i −0.0385973 + 0.810258i 0.893722 + 0.448621i \(0.148085\pi\)
−0.932319 + 0.361636i \(0.882218\pi\)
\(318\) 0.463198 + 1.33832i 0.0259749 + 0.0750495i
\(319\) 0.669867 2.76123i 0.0375053 0.154599i
\(320\) 12.6263 17.7311i 0.705831 0.991201i
\(321\) −3.91407 −0.218462
\(322\) 15.5248 5.06874i 0.865161 0.282470i
\(323\) −9.71360 −0.540479
\(324\) −0.199200 + 0.279737i −0.0110667 + 0.0155410i
\(325\) −0.752365 + 3.10129i −0.0417337 + 0.172029i
\(326\) 5.94321 + 17.1718i 0.329164 + 0.951056i
\(327\) 0.321047 6.73961i 0.0177540 0.372701i
\(328\) 4.10564 + 4.73816i 0.226696 + 0.261621i
\(329\) 0.682441 + 8.57391i 0.0376242 + 0.472695i
\(330\) 0.948347 + 0.278460i 0.0522048 + 0.0153287i
\(331\) 15.8154 + 8.15340i 0.869293 + 0.448152i 0.834348 0.551238i \(-0.185844\pi\)
0.0349444 + 0.999389i \(0.488875\pi\)
\(332\) 0.238324 + 0.187420i 0.0130797 + 0.0102860i
\(333\) 0.915819 + 1.28609i 0.0501866 + 0.0704772i
\(334\) −0.0842171 + 0.00804176i −0.00460816 + 0.000440026i
\(335\) 0.964426 6.70773i 0.0526922 0.366482i
\(336\) −0.133329 + 8.45275i −0.00727371 + 0.461135i
\(337\) 26.8229 + 7.87593i 1.46114 + 0.429029i 0.913208 0.407494i \(-0.133597\pi\)
0.547931 + 0.836523i \(0.315416\pi\)
\(338\) 3.51487 2.76412i 0.191184 0.150349i
\(339\) 1.93203 0.372368i 0.104934 0.0202243i
\(340\) 1.83810 0.947608i 0.0996851 0.0513912i
\(341\) −1.46494 0.282345i −0.0793311 0.0152898i
\(342\) 4.89329 1.43680i 0.264599 0.0776932i
\(343\) −4.37142 17.9970i −0.236034 0.971745i
\(344\) 16.2269 0.874896
\(345\) 10.4610 + 5.41746i 0.563201 + 0.291666i
\(346\) −16.1196 + 27.9200i −0.866598 + 1.50099i
\(347\) 33.0473 + 3.15563i 1.77407 + 0.169403i 0.930178 0.367108i \(-0.119652\pi\)
0.843893 + 0.536512i \(0.180258\pi\)
\(348\) 2.25892 + 2.15388i 0.121091 + 0.115460i
\(349\) −22.9256 + 26.4576i −1.22718 + 1.41624i −0.349543 + 0.936920i \(0.613663\pi\)
−0.877639 + 0.479322i \(0.840882\pi\)
\(350\) 3.22548 1.41198i 0.172409 0.0754734i
\(351\) 2.02116 + 2.33254i 0.107881 + 0.124502i
\(352\) 0.471765 0.371000i 0.0251451 0.0197744i
\(353\) 24.0707 22.9514i 1.28115 1.22158i 0.319414 0.947615i \(-0.396514\pi\)
0.961740 0.273963i \(-0.0883345\pi\)
\(354\) −0.494482 10.3805i −0.0262814 0.551715i
\(355\) 9.37057 3.75141i 0.497338 0.199104i
\(356\) −2.06096 + 4.51288i −0.109231 + 0.239182i
\(357\) −3.06261 + 5.71740i −0.162091 + 0.302597i
\(358\) −3.77727 + 26.2715i −0.199635 + 1.38849i
\(359\) 26.1688 + 13.4910i 1.38114 + 0.712026i 0.979059 0.203579i \(-0.0652573\pi\)
0.402079 + 0.915605i \(0.368288\pi\)
\(360\) −5.36212 + 5.11277i −0.282609 + 0.269467i
\(361\) −3.06345 1.22642i −0.161234 0.0645484i
\(362\) −11.0222 + 31.8464i −0.579312 + 1.67381i
\(363\) −9.17157 5.89421i −0.481383 0.309366i
\(364\) −2.71445 0.704029i −0.142276 0.0369012i
\(365\) −10.6115 + 3.11581i −0.555431 + 0.163089i
\(366\) 3.03607 4.26357i 0.158698 0.222860i
\(367\) −11.0761 + 19.1844i −0.578170 + 1.00142i 0.417520 + 0.908668i \(0.362899\pi\)
−0.995689 + 0.0927513i \(0.970434\pi\)
\(368\) −13.6333 + 6.99665i −0.710684 + 0.364726i
\(369\) −1.03931 1.80014i −0.0541044 0.0937115i
\(370\) 2.07362 + 4.54060i 0.107803 + 0.236055i
\(371\) 1.97547 + 2.13835i 0.102561 + 0.111018i
\(372\) 1.07323 1.23857i 0.0556442 0.0642169i
\(373\) 0.213605 4.48411i 0.0110600 0.232179i −0.986568 0.163349i \(-0.947770\pi\)
0.997628 0.0688298i \(-0.0219265\pi\)
\(374\) −0.968571 + 0.186677i −0.0500836 + 0.00965283i
\(375\) −9.04435 3.62081i −0.467048 0.186978i
\(376\) −2.31167 9.52883i −0.119215 0.491412i
\(377\) 23.5984 15.1657i 1.21538 0.781076i
\(378\) 0.697114 3.33319i 0.0358557 0.171441i
\(379\) 6.84692 14.9927i 0.351702 0.770121i −0.648260 0.761419i \(-0.724503\pi\)
0.999962 0.00870159i \(-0.00276984\pi\)
\(380\) −3.32737 + 0.317726i −0.170691 + 0.0162990i
\(381\) −5.31016 4.17595i −0.272048 0.213941i
\(382\) 0.268607 + 5.63875i 0.0137431 + 0.288504i
\(383\) −4.34069 17.8926i −0.221799 0.914267i −0.968481 0.249086i \(-0.919870\pi\)
0.746683 0.665181i \(-0.231645\pi\)
\(384\) −1.07672 7.48878i −0.0549464 0.382160i
\(385\) 2.01537 0.257393i 0.102713 0.0131180i
\(386\) −16.0446 10.3112i −0.816648 0.524828i
\(387\) −5.28274 1.01817i −0.268537 0.0517563i
\(388\) −0.222961 + 0.919058i −0.0113191 + 0.0466581i
\(389\) 34.2518 + 3.27065i 1.73663 + 0.165828i 0.914802 0.403902i \(-0.132346\pi\)
0.821832 + 0.569731i \(0.192952\pi\)
\(390\) 4.87899 + 8.45066i 0.247057 + 0.427916i
\(391\) −11.7569 0.0216837i −0.594570 0.00109659i
\(392\) 8.16066 + 19.4723i 0.412176 + 0.983500i
\(393\) −2.20412 4.82634i −0.111183 0.243457i
\(394\) 19.7561 + 18.8375i 0.995300 + 0.949017i
\(395\) 11.1109 + 32.1028i 0.559049 + 1.61526i
\(396\) −0.0954238 + 0.0491944i −0.00479523 + 0.00247211i
\(397\) 9.12503 26.3650i 0.457972 1.32322i −0.445771 0.895147i \(-0.647070\pi\)
0.903743 0.428076i \(-0.140809\pi\)
\(398\) 2.59511 + 18.0494i 0.130081 + 0.904735i
\(399\) 8.03010 6.73935i 0.402008 0.337389i
\(400\) −2.77932 + 1.78616i −0.138966 + 0.0893081i
\(401\) 6.97710 2.79321i 0.348420 0.139486i −0.190850 0.981619i \(-0.561124\pi\)
0.539270 + 0.842133i \(0.318700\pi\)
\(402\) −2.05966 2.89238i −0.102726 0.144259i
\(403\) −8.54370 11.9980i −0.425592 0.597661i
\(404\) −1.76572 + 0.706887i −0.0878478 + 0.0351690i
\(405\) 2.06647 1.32804i 0.102684 0.0659907i
\(406\) −29.0844 10.5827i −1.44343 0.525213i
\(407\) 0.0702435 + 0.488554i 0.00348184 + 0.0242167i
\(408\) 2.41837 6.98741i 0.119727 0.345928i
\(409\) −15.9322 + 8.21359i −0.787794 + 0.406136i −0.804671 0.593721i \(-0.797658\pi\)
0.0168765 + 0.999858i \(0.494628\pi\)
\(410\) −2.14942 6.21035i −0.106153 0.306708i
\(411\) 11.1529 + 10.6343i 0.550131 + 0.524549i
\(412\) 2.25323 + 4.93389i 0.111009 + 0.243075i
\(413\) −9.48816 19.1397i −0.466882 0.941804i
\(414\) 5.92580 1.72811i 0.291237 0.0849318i
\(415\) −1.08435 1.87814i −0.0532285 0.0921945i
\(416\) 5.89844 + 0.563233i 0.289195 + 0.0276148i
\(417\) −0.483703 + 1.99385i −0.0236870 + 0.0976393i
\(418\) 1.56551 + 0.301727i 0.0765716 + 0.0147580i
\(419\) −7.19502 4.62396i −0.351500 0.225895i 0.352961 0.935638i \(-0.385175\pi\)
−0.704461 + 0.709743i \(0.748811\pi\)
\(420\) −0.862079 + 2.05866i −0.0420651 + 0.100452i
\(421\) −3.38450 23.5397i −0.164950 1.14726i −0.889133 0.457648i \(-0.848692\pi\)
0.724183 0.689608i \(-0.242217\pi\)
\(422\) 6.09980 + 25.1437i 0.296934 + 1.22398i
\(423\) 0.154683 + 3.24720i 0.00752096 + 0.157884i
\(424\) −2.60873 2.05153i −0.126691 0.0996312i
\(425\) −2.52328 + 0.240944i −0.122397 + 0.0116875i
\(426\) 2.19702 4.81080i 0.106446 0.233084i
\(427\) 2.20258 10.5314i 0.106590 0.509652i
\(428\) 1.13077 0.726701i 0.0546578 0.0351264i
\(429\) 0.227476 + 0.937671i 0.0109827 + 0.0452712i
\(430\) −15.7910 6.32174i −0.761507 0.304862i
\(431\) 5.84142 1.12584i 0.281371 0.0542298i −0.0466132 0.998913i \(-0.514843\pi\)
0.327984 + 0.944683i \(0.393631\pi\)
\(432\) −0.152036 + 3.19162i −0.00731481 + 0.153557i
\(433\) 4.07046 4.69756i 0.195614 0.225750i −0.649466 0.760391i \(-0.725007\pi\)
0.845080 + 0.534640i \(0.179553\pi\)
\(434\) −4.82379 + 15.5186i −0.231549 + 0.744915i
\(435\) −9.27443 20.3082i −0.444675 0.973703i
\(436\) 1.15855 + 2.00667i 0.0554846 + 0.0961021i
\(437\) 17.6285 + 7.09513i 0.843284 + 0.339406i
\(438\) −2.89741 + 5.01846i −0.138444 + 0.239791i
\(439\) −18.1885 + 25.5422i −0.868089 + 1.21906i 0.106332 + 0.994331i \(0.466090\pi\)
−0.974421 + 0.224730i \(0.927850\pi\)
\(440\) −2.22237 + 0.652547i −0.105947 + 0.0311089i
\(441\) −1.43494 6.85135i −0.0683305 0.326255i
\(442\) −8.19244 5.26496i −0.389675 0.250429i
\(443\) 1.29150 3.73156i 0.0613612 0.177292i −0.910153 0.414272i \(-0.864036\pi\)
0.971515 + 0.236980i \(0.0761576\pi\)
\(444\) −0.503359 0.201515i −0.0238884 0.00956346i
\(445\) 25.6832 24.4889i 1.21750 1.16089i
\(446\) −1.22136 0.629656i −0.0578332 0.0298151i
\(447\) 1.55469 10.8131i 0.0735345 0.511443i
\(448\) −12.3627 19.9208i −0.584085 0.941167i
\(449\) −8.02726 + 17.5772i −0.378830 + 0.829521i 0.620155 + 0.784479i \(0.287070\pi\)
−0.998985 + 0.0450422i \(0.985658\pi\)
\(450\) 1.23548 0.494612i 0.0582411 0.0233162i
\(451\) −0.0309196 0.649083i −0.00145595 0.0305641i
\(452\) −0.489026 + 0.466285i −0.0230018 + 0.0219322i
\(453\) −12.1427 + 9.54909i −0.570512 + 0.448656i
\(454\) 15.8427 + 18.2835i 0.743537 + 0.858087i
\(455\) 16.1538 + 11.8914i 0.757301 + 0.557478i
\(456\) −7.82631 + 9.03205i −0.366501 + 0.422964i
\(457\) 29.5033 + 28.1313i 1.38011 + 1.31593i 0.898121 + 0.439749i \(0.144932\pi\)
0.481985 + 0.876180i \(0.339916\pi\)
\(458\) −38.0379 3.63218i −1.77739 0.169720i
\(459\) −1.22574 + 2.12304i −0.0572126 + 0.0990951i
\(460\) −4.02800 + 0.377132i −0.187806 + 0.0175838i
\(461\) 14.2605 0.664179 0.332090 0.943248i \(-0.392246\pi\)
0.332090 + 0.943248i \(0.392246\pi\)
\(462\) 0.671187 0.826323i 0.0312264 0.0384440i
\(463\) 17.5752 5.16056i 0.816791 0.239831i 0.153457 0.988155i \(-0.450959\pi\)
0.663333 + 0.748324i \(0.269141\pi\)
\(464\) 28.5159 + 5.49598i 1.32382 + 0.255145i
\(465\) −10.4195 + 5.37163i −0.483193 + 0.249103i
\(466\) 22.9055 4.41467i 1.06108 0.204506i
\(467\) −5.76807 + 4.53606i −0.266915 + 0.209904i −0.742642 0.669689i \(-0.766427\pi\)
0.475727 + 0.879593i \(0.342185\pi\)
\(468\) −1.01698 0.298612i −0.0470099 0.0138033i
\(469\) −6.26281 3.74876i −0.289190 0.173102i
\(470\) −1.46272 + 10.1734i −0.0674701 + 0.469265i
\(471\) −14.2918 + 1.36470i −0.658531 + 0.0628821i
\(472\) 14.1263 + 19.8376i 0.650216 + 0.913100i
\(473\) −1.32205 1.03967i −0.0607880 0.0478042i
\(474\) 15.8211 + 8.15635i 0.726687 + 0.374633i
\(475\) 3.93100 + 1.15425i 0.180367 + 0.0529604i
\(476\) −0.176730 2.22036i −0.00810041 0.101770i
\(477\) 0.720561 + 0.831572i 0.0329922 + 0.0380751i
\(478\) 0.892854 18.7433i 0.0408382 0.857300i
\(479\) 1.62472 + 4.69432i 0.0742354 + 0.214489i 0.976013 0.217710i \(-0.0698588\pi\)
−0.901778 + 0.432200i \(0.857738\pi\)
\(480\) 1.11180 4.58290i 0.0507465 0.209180i
\(481\) −2.82658 + 3.96938i −0.128881 + 0.180988i
\(482\) 11.4380 0.520986
\(483\) 9.73427 8.13904i 0.442925 0.370339i
\(484\) 3.74400 0.170182
\(485\) 3.92387 5.51030i 0.178174 0.250210i
\(486\) 0.303442 1.25080i 0.0137644 0.0567376i
\(487\) 13.0111 + 37.5931i 0.589590 + 1.70351i 0.704114 + 0.710087i \(0.251344\pi\)
−0.114524 + 0.993420i \(0.536534\pi\)
\(488\) −0.583623 + 12.2518i −0.0264194 + 0.554611i
\(489\) 9.24538 + 10.6697i 0.418091 + 0.482502i
\(490\) −0.355315 22.1284i −0.0160515 0.999661i
\(491\) −24.2980 7.13453i −1.09655 0.321977i −0.317071 0.948402i \(-0.602699\pi\)
−0.779482 + 0.626425i \(0.784518\pi\)
\(492\) 0.634477 + 0.327095i 0.0286044 + 0.0147466i
\(493\) 17.5139 + 13.7731i 0.788787 + 0.620309i
\(494\) 9.13022 + 12.8216i 0.410788 + 0.576871i
\(495\) 0.764447 0.0729958i 0.0343593 0.00328092i
\(496\) 2.17009 15.0933i 0.0974398 0.677709i
\(497\) 0.171462 10.8702i 0.00769110 0.487597i
\(498\) −1.09030 0.320140i −0.0488574 0.0143458i
\(499\) −6.56652 + 5.16397i −0.293958 + 0.231171i −0.754236 0.656604i \(-0.771992\pi\)
0.460278 + 0.887775i \(0.347750\pi\)
\(500\) 3.28516 0.633162i 0.146917 0.0283159i
\(501\) −0.0584233 + 0.0301193i −0.00261016 + 0.00134563i
\(502\) −3.95971 0.763172i −0.176731 0.0340620i
\(503\) −2.63152 + 0.772684i −0.117334 + 0.0344523i −0.339872 0.940472i \(-0.610384\pi\)
0.222539 + 0.974924i \(0.428566\pi\)
\(504\) 2.84867 + 7.45427i 0.126890 + 0.332039i
\(505\) 13.6046 0.605395
\(506\) 1.89414 + 0.368690i 0.0842049 + 0.0163903i
\(507\) 1.73708 3.00872i 0.0771466 0.133622i
\(508\) 2.30942 + 0.220523i 0.102464 + 0.00978412i
\(509\) 7.70350 + 7.34527i 0.341452 + 0.325573i 0.841330 0.540522i \(-0.181773\pi\)
−0.499878 + 0.866096i \(0.666622\pi\)
\(510\) −5.07558 + 5.85753i −0.224750 + 0.259376i
\(511\) −1.31918 + 11.8387i −0.0583570 + 0.523711i
\(512\) 16.6394 + 19.2028i 0.735363 + 0.848654i
\(513\) 3.11461 2.44936i 0.137514 0.108142i
\(514\) 26.3745 25.1481i 1.16333 1.10923i
\(515\) −1.84607 38.7538i −0.0813477 1.70770i
\(516\) 1.71521 0.686668i 0.0755081 0.0302289i
\(517\) −0.422183 + 0.924451i −0.0185676 + 0.0406573i
\(518\) 5.37372 0.171091i 0.236108 0.00751731i
\(519\) −3.56475 + 24.7934i −0.156475 + 1.08831i
\(520\) −20.3250 10.4783i −0.891310 0.459502i
\(521\) −3.56196 + 3.39632i −0.156052 + 0.148796i −0.764083 0.645118i \(-0.776808\pi\)
0.608031 + 0.793914i \(0.291960\pi\)
\(522\) −10.8600 4.34770i −0.475330 0.190293i
\(523\) −7.68509 + 22.2046i −0.336045 + 0.970939i 0.642746 + 0.766079i \(0.277795\pi\)
−0.978791 + 0.204860i \(0.934326\pi\)
\(524\) 1.53284 + 0.985099i 0.0669626 + 0.0430343i
\(525\) 1.91879 1.94985i 0.0837430 0.0850985i
\(526\) −38.1406 + 11.1991i −1.66301 + 0.488304i
\(527\) 6.78614 9.52980i 0.295609 0.415124i
\(528\) −0.499448 + 0.865069i −0.0217357 + 0.0376473i
\(529\) 21.3208 + 8.62694i 0.926991 + 0.375084i
\(530\) 1.73940 + 3.01274i 0.0755549 + 0.130865i
\(531\) −3.35416 7.34459i −0.145558 0.318728i
\(532\) −1.06863 + 3.43789i −0.0463311 + 0.149051i
\(533\) 4.20123 4.84847i 0.181975 0.210011i
\(534\) 0.884745 18.5731i 0.0382867 0.803736i
\(535\) −9.44082 + 1.81957i −0.408162 + 0.0786669i
\(536\) 7.72491 + 3.09259i 0.333665 + 0.133579i
\(537\) 4.86171 + 20.0403i 0.209798 + 0.864801i
\(538\) −4.60177 + 2.95738i −0.198396 + 0.127502i
\(539\) 0.582737 2.10932i 0.0251003 0.0908550i
\(540\) −0.350431 + 0.767337i −0.0150801 + 0.0330209i
\(541\) 23.6220 2.25563i 1.01559 0.0969772i 0.426037 0.904706i \(-0.359909\pi\)
0.589554 + 0.807729i \(0.299303\pi\)
\(542\) −15.8563 12.4695i −0.681087 0.535613i
\(543\) 1.24584 + 26.1535i 0.0534643 + 1.12235i
\(544\) 1.10957 + 4.57369i 0.0475722 + 0.196095i
\(545\) −2.35873 16.4054i −0.101037 0.702728i
\(546\) 10.4254 1.33149i 0.446167 0.0569823i
\(547\) 13.9398 + 8.95858i 0.596024 + 0.383041i 0.803593 0.595179i \(-0.202919\pi\)
−0.207569 + 0.978220i \(0.566555\pi\)
\(548\) −5.19645 1.00153i −0.221981 0.0427834i
\(549\) 0.958744 3.95200i 0.0409182 0.168667i
\(550\) 0.414154 + 0.0395469i 0.0176596 + 0.00168629i
\(551\) −18.0064 31.1879i −0.767097 1.32865i
\(552\) −9.49274 + 10.9145i −0.404038 + 0.464551i
\(553\) 36.5161 + 2.31721i 1.55282 + 0.0985376i
\(554\) −9.51808 20.8417i −0.404384 0.885478i
\(555\) 2.80685 + 2.67633i 0.119144 + 0.113604i
\(556\) −0.230445 0.665827i −0.00977304 0.0282373i
\(557\) −10.1744 + 5.24526i −0.431102 + 0.222249i −0.660099 0.751178i \(-0.729486\pi\)
0.228997 + 0.973427i \(0.426455\pi\)
\(558\) −2.00895 + 5.80448i −0.0850456 + 0.245723i
\(559\) −2.36310 16.4357i −0.0999483 0.695156i
\(560\) 3.60792 + 20.4502i 0.152462 + 0.864180i
\(561\) −0.644721 + 0.414337i −0.0272201 + 0.0174933i
\(562\) −33.8378 + 13.5466i −1.42736 + 0.571429i
\(563\) 25.9769 + 36.4794i 1.09479 + 1.53742i 0.816871 + 0.576821i \(0.195707\pi\)
0.277924 + 0.960603i \(0.410354\pi\)
\(564\) −0.647576 0.909393i −0.0272679 0.0382924i
\(565\) 4.48700 1.79632i 0.188769 0.0755719i
\(566\) −22.7535 + 14.6228i −0.956400 + 0.614641i
\(567\) −0.459676 2.60551i −0.0193046 0.109421i
\(568\) 1.76381 + 12.2675i 0.0740076 + 0.514734i
\(569\) −7.11280 + 20.5511i −0.298184 + 0.861546i 0.692015 + 0.721883i \(0.256723\pi\)
−0.990199 + 0.139663i \(0.955398\pi\)
\(570\) 11.1348 5.74039i 0.466385 0.240438i
\(571\) −0.491844 1.42109i −0.0205831 0.0594708i 0.934241 0.356641i \(-0.116078\pi\)
−0.954824 + 0.297171i \(0.903957\pi\)
\(572\) −0.239809 0.228658i −0.0100269 0.00956066i
\(573\) 1.82201 + 3.98964i 0.0761155 + 0.166670i
\(574\) −7.06413 0.448269i −0.294851 0.0187104i
\(575\) 4.75531 + 1.40582i 0.198310 + 0.0586266i
\(576\) −4.43071 7.67422i −0.184613 0.319759i
\(577\) −40.1731 3.83607i −1.67243 0.159698i −0.784641 0.619951i \(-0.787152\pi\)
−0.887788 + 0.460253i \(0.847759\pi\)
\(578\) −3.33490 + 13.7466i −0.138714 + 0.571785i
\(579\) −14.5504 2.80436i −0.604693 0.116545i
\(580\) 6.44987 + 4.14508i 0.267816 + 0.172115i
\(581\) −2.31703 + 0.295920i −0.0961267 + 0.0122768i
\(582\) −0.504428 3.50837i −0.0209092 0.145427i
\(583\) 0.0810974 + 0.334288i 0.00335871 + 0.0138448i
\(584\) −0.646146 13.5643i −0.0267377 0.561294i
\(585\) 5.95943 + 4.68655i 0.246392 + 0.193765i
\(586\) 6.98896 0.667365i 0.288711 0.0275686i
\(587\) 8.55422 18.7311i 0.353071 0.773117i −0.646874 0.762597i \(-0.723924\pi\)
0.999945 0.0105199i \(-0.00334866\pi\)
\(588\) 1.68660 + 1.71293i 0.0695542 + 0.0706400i
\(589\) −15.9075 + 10.2232i −0.655459 + 0.421238i
\(590\) −6.01837 24.8080i −0.247772 1.02133i
\(591\) 19.6896 + 7.88252i 0.809921 + 0.324244i
\(592\) −4.95362 + 0.954731i −0.203592 + 0.0392392i
\(593\) −1.32556 + 27.8269i −0.0544343 + 1.14272i 0.792103 + 0.610387i \(0.208986\pi\)
−0.846538 + 0.532329i \(0.821317\pi\)
\(594\) 0.263495 0.304090i 0.0108113 0.0124769i
\(595\) −4.72919 + 15.2142i −0.193878 + 0.623723i
\(596\) 1.55846 + 3.41255i 0.0638370 + 0.139783i
\(597\) 7.08384 + 12.2696i 0.289922 + 0.502160i
\(598\) 11.0221 + 15.5390i 0.450729 + 0.635437i
\(599\) −6.57497 + 11.3882i −0.268646 + 0.465308i −0.968512 0.248965i \(-0.919909\pi\)
0.699866 + 0.714274i \(0.253243\pi\)
\(600\) −1.80899 + 2.54037i −0.0738516 + 0.103710i
\(601\) −12.0577 + 3.54045i −0.491843 + 0.144418i −0.518243 0.855233i \(-0.673414\pi\)
0.0264001 + 0.999651i \(0.491596\pi\)
\(602\) −12.8501 + 13.0581i −0.523730 + 0.532207i
\(603\) −2.32083 1.49151i −0.0945116 0.0607389i
\(604\) 1.73508 5.01318i 0.0705993 0.203983i
\(605\) −24.8621 9.95330i −1.01079 0.404659i
\(606\) 5.15904 4.91913i 0.209572 0.199826i
\(607\) 14.4371 + 7.44282i 0.585982 + 0.302095i 0.725607 0.688110i \(-0.241559\pi\)
−0.139624 + 0.990205i \(0.544590\pi\)
\(608\) 1.08258 7.52950i 0.0439044 0.305361i
\(609\) −24.0344 + 0.765217i −0.973921 + 0.0310082i
\(610\) 5.34104 11.6952i 0.216252 0.473526i
\(611\) −9.31479 + 3.72908i −0.376836 + 0.150862i
\(612\) −0.0400579 0.840920i −0.00161925 0.0339922i
\(613\) 4.63321 4.41776i 0.187134 0.178432i −0.590721 0.806876i \(-0.701157\pi\)
0.777854 + 0.628444i \(0.216308\pi\)
\(614\) −21.0787 + 16.5765i −0.850666 + 0.668971i
\(615\) −3.34369 3.85883i −0.134831 0.155603i
\(616\) −0.276276 + 2.47937i −0.0111315 + 0.0998969i
\(617\) 5.31445 6.13320i 0.213952 0.246913i −0.638622 0.769521i \(-0.720495\pi\)
0.852574 + 0.522607i \(0.175041\pi\)
\(618\) −14.7127 14.0285i −0.591830 0.564309i
\(619\) −12.7768 1.22004i −0.513544 0.0490375i −0.164932 0.986305i \(-0.552741\pi\)
−0.348611 + 0.937267i \(0.613347\pi\)
\(620\) 2.01286 3.48638i 0.0808386 0.140016i
\(621\) 3.77524 2.95763i 0.151495 0.118686i
\(622\) 4.95277 0.198588
\(623\) −13.6444 35.7041i −0.546653 1.43045i
\(624\) −9.46229 + 2.77838i −0.378795 + 0.111224i
\(625\) −28.5749 5.50736i −1.14299 0.220294i
\(626\) −19.3452 + 9.97316i −0.773191 + 0.398608i
\(627\) 1.21632 0.234427i 0.0485753 0.00936212i
\(628\) 3.87551 3.04773i 0.154650 0.121618i
\(629\) −3.71372 1.09045i −0.148076 0.0434789i
\(630\) 0.131926 8.36380i 0.00525607 0.333222i
\(631\) 3.23978 22.5331i 0.128973 0.897030i −0.817886 0.575381i \(-0.804854\pi\)
0.946859 0.321649i \(-0.104237\pi\)
\(632\) −41.5235 + 3.96501i −1.65171 + 0.157720i
\(633\) 11.6603 + 16.3747i 0.463457 + 0.650834i
\(634\) 14.6118 + 11.4908i 0.580309 + 0.456360i
\(635\) −14.7495 7.60391i −0.585318 0.301752i
\(636\) −0.362562 0.106458i −0.0143765 0.00422133i
\(637\) 18.5344 11.1014i 0.734361 0.439853i
\(638\) −2.39484 2.76379i −0.0948126 0.109420i
\(639\) 0.195518 4.10442i 0.00773456 0.162368i
\(640\) −6.07847 17.5626i −0.240272 0.694222i
\(641\) 2.25704 9.30366i 0.0891478 0.367472i −0.909711 0.415243i \(-0.863697\pi\)
0.998858 + 0.0477707i \(0.0152117\pi\)
\(642\) −2.92217 + 4.10362i −0.115329 + 0.161957i
\(643\) 17.5344 0.691488 0.345744 0.938329i \(-0.387627\pi\)
0.345744 + 0.938329i \(0.387627\pi\)
\(644\) −1.30109 + 4.15866i −0.0512702 + 0.163874i
\(645\) −13.2154 −0.520357
\(646\) −7.25200 + 10.1840i −0.285326 + 0.400684i
\(647\) 7.93698 32.7167i 0.312035 1.28623i −0.572559 0.819864i \(-0.694049\pi\)
0.884594 0.466362i \(-0.154436\pi\)
\(648\) 0.986493 + 2.85028i 0.0387531 + 0.111970i
\(649\) 0.120105 2.52131i 0.00471453 0.0989701i
\(650\) 2.68978 + 3.10417i 0.105502 + 0.121755i
\(651\) 1.00182 + 12.5864i 0.0392643 + 0.493300i
\(652\) −4.65197 1.36594i −0.182185 0.0534943i
\(653\) −18.1074 9.33503i −0.708599 0.365308i 0.0659493 0.997823i \(-0.478992\pi\)
−0.774548 + 0.632515i \(0.782023\pi\)
\(654\) −6.82631 5.36827i −0.266930 0.209916i
\(655\) −7.56005 10.6166i −0.295396 0.414825i
\(656\) 6.61162 0.631333i 0.258140 0.0246494i
\(657\) −0.640742 + 4.45646i −0.0249977 + 0.173863i
\(658\) 9.49862 + 5.68564i 0.370295 + 0.221649i
\(659\) −37.4717 11.0027i −1.45969 0.428604i −0.546958 0.837160i \(-0.684214\pi\)
−0.912733 + 0.408556i \(0.866032\pi\)
\(660\) −0.207295 + 0.163019i −0.00806895 + 0.00634549i
\(661\) 33.9552 6.54432i 1.32070 0.254545i 0.520288 0.853991i \(-0.325825\pi\)
0.800415 + 0.599447i \(0.204613\pi\)
\(662\) 20.3557 10.4941i 0.791148 0.407865i
\(663\) −7.42950 1.43192i −0.288538 0.0556111i
\(664\) 2.55502 0.750222i 0.0991540 0.0291143i
\(665\) 16.2358 19.9885i 0.629598 0.775120i
\(666\) 2.03210 0.0787425
\(667\) −21.7244 37.7885i −0.841171 1.46318i
\(668\) 0.0112863 0.0195485i 0.000436682 0.000756355i
\(669\) −1.06278 0.101484i −0.0410896 0.00392358i
\(670\) −6.31255 6.01900i −0.243875 0.232534i
\(671\) 0.832531 0.960792i 0.0321395 0.0370910i
\(672\) −4.09051 3.01118i −0.157795 0.116159i
\(673\) 3.05255 + 3.52284i 0.117667 + 0.135795i 0.811527 0.584315i \(-0.198637\pi\)
−0.693860 + 0.720110i \(0.744091\pi\)
\(674\) 28.2829 22.2419i 1.08942 0.856726i
\(675\) 0.748321 0.713523i 0.0288029 0.0274635i
\(676\) 0.0567690 + 1.19173i 0.00218342 + 0.0458357i
\(677\) 0.0827600 0.0331321i 0.00318073 0.00127337i −0.370072 0.929003i \(-0.620667\pi\)
0.373252 + 0.927730i \(0.378243\pi\)
\(678\) 1.05202 2.30360i 0.0404025 0.0884692i
\(679\) −3.84197 6.19076i −0.147441 0.237580i
\(680\) 2.58485 17.9780i 0.0991246 0.689427i
\(681\) 16.7069 + 8.61301i 0.640210 + 0.330051i
\(682\) −1.38972 + 1.32509i −0.0532151 + 0.0507405i
\(683\) −26.3942 10.5666i −1.00995 0.404321i −0.193101 0.981179i \(-0.561855\pi\)
−0.816845 + 0.576857i \(0.804279\pi\)
\(684\) −0.445050 + 1.28589i −0.0170169 + 0.0491672i
\(685\) 31.8447 + 20.4653i 1.21672 + 0.781940i
\(686\) −22.1321 8.85310i −0.845009 0.338013i
\(687\) −28.4854 + 8.36406i −1.08678 + 0.319109i
\(688\) 9.97133 14.0028i 0.380154 0.533851i
\(689\) −1.69802 + 2.94106i −0.0646895 + 0.112046i
\(690\) 13.4898 6.92302i 0.513548 0.263555i
\(691\) −4.52609 7.83942i −0.172181 0.298226i 0.767001 0.641646i \(-0.221748\pi\)
−0.939182 + 0.343420i \(0.888415\pi\)
\(692\) −3.57338 7.82461i −0.135840 0.297447i
\(693\) 0.245513 0.789837i 0.00932625 0.0300034i
\(694\) 27.9810 32.2917i 1.06214 1.22578i
\(695\) −0.239803 + 5.03408i −0.00909623 + 0.190953i
\(696\) 26.9178 5.18798i 1.02032 0.196650i
\(697\) 4.73068 + 1.89388i 0.179187 + 0.0717358i
\(698\) 10.6230 + 43.7886i 0.402087 + 1.65742i
\(699\) 15.2468 9.79853i 0.576688 0.370615i
\(700\) −0.192320 + 0.919560i −0.00726902 + 0.0347561i
\(701\) 5.41008 11.8464i 0.204336 0.447433i −0.779524 0.626372i \(-0.784539\pi\)
0.983860 + 0.178939i \(0.0572663\pi\)
\(702\) 3.95446 0.377605i 0.149252 0.0142518i
\(703\) 4.91749 + 3.86716i 0.185467 + 0.145853i
\(704\) −0.131814 2.76712i −0.00496793 0.104290i
\(705\) 1.88266 + 7.76042i 0.0709050 + 0.292274i
\(706\) −6.09210 42.3715i −0.229279 1.59467i
\(707\) 5.65991 13.5160i 0.212863 0.508320i
\(708\) 2.33264 + 1.49910i 0.0876659 + 0.0563395i
\(709\) 37.7165 + 7.26926i 1.41647 + 0.273003i 0.839322 0.543635i \(-0.182952\pi\)
0.577151 + 0.816637i \(0.304164\pi\)
\(710\) 3.06282 12.6251i 0.114945 0.473812i
\(711\) 13.7669 + 1.31458i 0.516301 + 0.0493007i
\(712\) 21.7869 + 37.7360i 0.816498 + 1.41422i
\(713\) −19.2765 + 12.3381i −0.721911 + 0.462065i
\(714\) 3.70779 + 7.47943i 0.138760 + 0.279911i
\(715\) 0.984582 + 2.15593i 0.0368213 + 0.0806274i
\(716\) −5.12529 4.88696i −0.191541 0.182634i
\(717\) −4.76837 13.7773i −0.178078 0.514523i
\(718\) 33.6815 17.3640i 1.25698 0.648019i
\(719\) −1.65699 + 4.78756i −0.0617953 + 0.178546i −0.971672 0.236332i \(-0.924055\pi\)
0.909877 + 0.414878i \(0.136176\pi\)
\(720\) 1.11700 + 7.76894i 0.0416283 + 0.289531i
\(721\) −39.2695 14.2887i −1.46247 0.532139i
\(722\) −3.57293 + 2.29618i −0.132971 + 0.0854550i
\(723\) 8.25017 3.30287i 0.306827 0.122835i
\(724\) −5.21568 7.32440i −0.193839 0.272209i
\(725\) −5.45109 7.65498i −0.202448 0.284299i
\(726\) −13.0270 + 5.21522i −0.483477 + 0.193555i
\(727\) −5.60053 + 3.59924i −0.207712 + 0.133489i −0.640361 0.768074i \(-0.721215\pi\)
0.432649 + 0.901562i \(0.357579\pi\)
\(728\) −18.8658 + 15.8334i −0.699214 + 0.586823i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −4.65564 + 13.4516i −0.172313 + 0.497866i
\(731\) 11.7227 6.04349i 0.433581 0.223527i
\(732\) 0.456763 + 1.31973i 0.0168825 + 0.0487787i
\(733\) 19.9721 + 19.0434i 0.737688 + 0.703384i 0.962579 0.271000i \(-0.0873542\pi\)
−0.224891 + 0.974384i \(0.572203\pi\)
\(734\) 11.8442 + 25.9353i 0.437179 + 0.957289i
\(735\) −6.64616 15.8585i −0.245147 0.584951i
\(736\) 1.32711 9.11091i 0.0489178 0.335833i
\(737\) −0.431225 0.746903i −0.0158844 0.0275125i
\(738\) −2.66325 0.254309i −0.0980355 0.00936125i
\(739\) 1.66346 6.85686i 0.0611912 0.252234i −0.932998 0.359882i \(-0.882817\pi\)
0.994189 + 0.107648i \(0.0343321\pi\)
\(740\) −1.30779 0.252057i −0.0480755 0.00926579i
\(741\) 10.2880 + 6.61169i 0.377939 + 0.242887i
\(742\) 3.71676 0.474687i 0.136447 0.0174263i
\(743\) −2.13780 14.8687i −0.0784282 0.545480i −0.990718 0.135934i \(-0.956596\pi\)
0.912290 0.409546i \(-0.134313\pi\)
\(744\) −3.39350 13.9882i −0.124412 0.512833i
\(745\) −1.27684 26.8043i −0.0467800 0.982032i
\(746\) −4.54179 3.57171i −0.166287 0.130769i
\(747\) −0.878872 + 0.0839221i −0.0321562 + 0.00307055i
\(748\) 0.109332 0.239403i 0.00399756 0.00875343i
\(749\) −2.11995 + 10.1363i −0.0774612 + 0.370374i
\(750\) −10.5485 + 6.77912i −0.385177 + 0.247538i
\(751\) 6.11730 + 25.2158i 0.223223 + 0.920139i 0.967622 + 0.252404i \(0.0812211\pi\)
−0.744399 + 0.667735i \(0.767264\pi\)
\(752\) −9.64328 3.86059i −0.351654 0.140781i
\(753\) −3.07650 + 0.592947i −0.112114 + 0.0216082i
\(754\) 1.71792 36.0637i 0.0625631 1.31336i
\(755\) −24.8492 + 28.6775i −0.904355 + 1.04368i
\(756\) 0.616550 + 0.667384i 0.0224237 + 0.0242725i
\(757\) 0.363349 + 0.795622i 0.0132061 + 0.0289174i 0.916120 0.400904i \(-0.131304\pi\)
−0.902914 + 0.429821i \(0.858577\pi\)
\(758\) −10.6069 18.3717i −0.385261 0.667292i
\(759\) 1.47270 0.281024i 0.0534556 0.0102005i
\(760\) −14.6784 + 25.4238i −0.532443 + 0.922219i
\(761\) 4.72736 6.63865i 0.171367 0.240651i −0.719957 0.694019i \(-0.755838\pi\)
0.891323 + 0.453368i \(0.149778\pi\)
\(762\) −8.34265 + 2.44962i −0.302222 + 0.0887405i
\(763\) −17.2798 4.48175i −0.625571 0.162250i
\(764\) −1.26711 0.814321i −0.0458424 0.0294611i
\(765\) −1.96955 + 5.69065i −0.0712093 + 0.205746i
\(766\) −21.9997 8.80736i −0.794883 0.318223i
\(767\) 18.0357 17.1970i 0.651230 0.620947i
\(768\) 7.09739 + 3.65896i 0.256105 + 0.132031i
\(769\) 3.80879 26.4907i 0.137349 0.955281i −0.798278 0.602289i \(-0.794255\pi\)
0.935627 0.352991i \(-0.114836\pi\)
\(770\) 1.23478 2.30513i 0.0444983 0.0830712i
\(771\) 11.7620 25.7552i 0.423598 0.927550i
\(772\) 4.72426 1.89131i 0.170030 0.0680696i