Properties

Label 637.2.bl.a.53.10
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.10
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.a.625.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.971314 - 0.662231i) q^{2} +(1.44449 + 1.34029i) q^{3} +(-0.225781 - 0.575279i) q^{4} +(-0.154277 + 0.0475881i) q^{5} +(-0.515472 - 2.25843i) q^{6} +(2.49647 + 0.876147i) q^{7} +(-0.684849 + 3.00052i) q^{8} +(0.0659823 + 0.880472i) q^{9} +O(q^{10})\) \(q+(-0.971314 - 0.662231i) q^{2} +(1.44449 + 1.34029i) q^{3} +(-0.225781 - 0.575279i) q^{4} +(-0.154277 + 0.0475881i) q^{5} +(-0.515472 - 2.25843i) q^{6} +(2.49647 + 0.876147i) q^{7} +(-0.684849 + 3.00052i) q^{8} +(0.0659823 + 0.880472i) q^{9} +(0.181366 + 0.0559439i) q^{10} +(-0.385571 + 5.14508i) q^{11} +(0.444905 - 1.13360i) q^{12} +(0.900969 - 0.433884i) q^{13} +(-1.84465 - 2.50425i) q^{14} +(-0.286634 - 0.138036i) q^{15} +(1.74619 - 1.62022i) q^{16} +(-4.86347 + 0.733050i) q^{17} +(0.518986 - 0.898910i) q^{18} +(2.26408 + 3.92150i) q^{19} +(0.0622092 + 0.0780079i) q^{20} +(2.43184 + 4.61159i) q^{21} +(3.78174 - 4.74216i) q^{22} +(1.27803 + 0.192632i) q^{23} +(-5.01083 + 3.41633i) q^{24} +(-4.10966 + 2.80192i) q^{25} +(-1.16245 - 0.175212i) q^{26} +(2.60101 - 3.26157i) q^{27} +(-0.0596254 - 1.63399i) q^{28} +(2.10701 + 2.64211i) q^{29} +(0.187000 + 0.323894i) q^{30} +(4.23372 - 7.33302i) q^{31} +(3.31755 - 0.500041i) q^{32} +(-7.45287 + 6.91525i) q^{33} +(5.20940 + 2.50872i) q^{34} +(-0.426842 - 0.0163668i) q^{35} +(0.491620 - 0.236752i) q^{36} +(2.63478 - 6.71330i) q^{37} +(0.397806 - 5.30835i) q^{38} +(1.88297 + 0.580820i) q^{39} +(-0.0371327 - 0.495501i) q^{40} +(-1.41910 + 6.21749i) q^{41} +(0.691856 - 6.08974i) q^{42} +(2.77762 + 12.1696i) q^{43} +(3.04692 - 0.939849i) q^{44} +(-0.0520796 - 0.132697i) q^{45} +(-1.11380 - 1.03346i) q^{46} +(-2.44020 - 1.66370i) q^{47} +4.69393 q^{48} +(5.46473 + 4.37455i) q^{49} +5.84728 q^{50} +(-8.00774 - 5.45958i) q^{51} +(-0.453026 - 0.420346i) q^{52} +(0.410204 + 1.04518i) q^{53} +(-4.68631 + 1.44554i) q^{54} +(-0.185360 - 0.812117i) q^{55} +(-4.33860 + 6.89068i) q^{56} +(-1.98551 + 8.69909i) q^{57} +(-0.296885 - 3.96165i) q^{58} +(0.454641 + 0.140238i) q^{59} +(-0.0146927 + 0.196060i) q^{60} +(-1.73401 + 4.41818i) q^{61} +(-8.96842 + 4.31896i) q^{62} +(-0.606700 + 2.25588i) q^{63} +(-7.84589 - 3.77838i) q^{64} +(-0.118351 + 0.109814i) q^{65} +(11.8186 - 1.78136i) q^{66} +(-0.0180687 + 0.0312959i) q^{67} +(1.51978 + 2.63234i) q^{68} +(1.58792 + 1.99119i) q^{69} +(0.403759 + 0.298565i) q^{70} +(5.16801 - 6.48048i) q^{71} +(-2.68706 - 0.405009i) q^{72} +(-1.48444 + 1.01208i) q^{73} +(-7.00495 + 4.77589i) q^{74} +(-9.69175 - 1.46080i) q^{75} +(1.74477 - 2.18787i) q^{76} +(-5.47041 + 12.5067i) q^{77} +(-1.44432 - 1.81112i) q^{78} +(-5.95234 - 10.3097i) q^{79} +(-0.192293 + 0.333061i) q^{80} +(10.7478 - 1.61998i) q^{81} +(5.49580 - 5.09936i) q^{82} +(13.4294 + 6.46727i) q^{83} +(2.10389 - 2.44019i) q^{84} +(0.715436 - 0.344536i) q^{85} +(5.36111 - 13.6599i) q^{86} +(-0.497639 + 6.64053i) q^{87} +(-15.1739 - 4.68052i) q^{88} +(-0.583394 - 7.78485i) q^{89} +(-0.0372901 + 0.163379i) q^{90} +(2.62939 - 0.293797i) q^{91} +(-0.177737 - 0.778718i) q^{92} +(15.9440 - 4.91806i) q^{93} +(1.26844 + 3.23194i) q^{94} +(-0.535912 - 0.497253i) q^{95} +(5.46238 + 3.72419i) q^{96} +5.41424 q^{97} +(-2.41101 - 7.86798i) q^{98} -4.55554 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.971314 0.662231i −0.686823 0.468268i 0.168947 0.985625i \(-0.445963\pi\)
−0.855769 + 0.517357i \(0.826916\pi\)
\(3\) 1.44449 + 1.34029i 0.833978 + 0.773818i 0.976396 0.215988i \(-0.0692973\pi\)
−0.142418 + 0.989807i \(0.545488\pi\)
\(4\) −0.225781 0.575279i −0.112890 0.287640i
\(5\) −0.154277 + 0.0475881i −0.0689948 + 0.0212821i −0.329060 0.944309i \(-0.606732\pi\)
0.260066 + 0.965591i \(0.416256\pi\)
\(6\) −0.515472 2.25843i −0.210441 0.922001i
\(7\) 2.49647 + 0.876147i 0.943577 + 0.331152i
\(8\) −0.684849 + 3.00052i −0.242131 + 1.06084i
\(9\) 0.0659823 + 0.880472i 0.0219941 + 0.293491i
\(10\) 0.181366 + 0.0559439i 0.0573529 + 0.0176910i
\(11\) −0.385571 + 5.14508i −0.116254 + 1.55130i 0.568596 + 0.822617i \(0.307487\pi\)
−0.684850 + 0.728684i \(0.740132\pi\)
\(12\) 0.444905 1.13360i 0.128433 0.327242i
\(13\) 0.900969 0.433884i 0.249884 0.120338i
\(14\) −1.84465 2.50425i −0.493002 0.669290i
\(15\) −0.286634 0.138036i −0.0740085 0.0356406i
\(16\) 1.74619 1.62022i 0.436547 0.405056i
\(17\) −4.86347 + 0.733050i −1.17956 + 0.177791i −0.709411 0.704795i \(-0.751039\pi\)
−0.470152 + 0.882585i \(0.655801\pi\)
\(18\) 0.518986 0.898910i 0.122326 0.211875i
\(19\) 2.26408 + 3.92150i 0.519415 + 0.899653i 0.999745 + 0.0225653i \(0.00718337\pi\)
−0.480331 + 0.877088i \(0.659483\pi\)
\(20\) 0.0622092 + 0.0780079i 0.0139104 + 0.0174431i
\(21\) 2.43184 + 4.61159i 0.530671 + 1.00633i
\(22\) 3.78174 4.74216i 0.806270 1.01103i
\(23\) 1.27803 + 0.192632i 0.266488 + 0.0401666i 0.280927 0.959729i \(-0.409358\pi\)
−0.0144388 + 0.999896i \(0.504596\pi\)
\(24\) −5.01083 + 3.41633i −1.02283 + 0.697355i
\(25\) −4.10966 + 2.80192i −0.821931 + 0.560383i
\(26\) −1.16245 0.175212i −0.227976 0.0343619i
\(27\) 2.60101 3.26157i 0.500565 0.627689i
\(28\) −0.0596254 1.63399i −0.0112681 0.308794i
\(29\) 2.10701 + 2.64211i 0.391263 + 0.490628i 0.937980 0.346689i \(-0.112694\pi\)
−0.546717 + 0.837317i \(0.684123\pi\)
\(30\) 0.187000 + 0.323894i 0.0341414 + 0.0591346i
\(31\) 4.23372 7.33302i 0.760398 1.31705i −0.182247 0.983253i \(-0.558337\pi\)
0.942645 0.333796i \(-0.108330\pi\)
\(32\) 3.31755 0.500041i 0.586466 0.0883956i
\(33\) −7.45287 + 6.91525i −1.29738 + 1.20379i
\(34\) 5.20940 + 2.50872i 0.893405 + 0.430241i
\(35\) −0.426842 0.0163668i −0.0721495 0.00276650i
\(36\) 0.491620 0.236752i 0.0819366 0.0394586i
\(37\) 2.63478 6.71330i 0.433155 1.10366i −0.533096 0.846055i \(-0.678971\pi\)
0.966250 0.257605i \(-0.0829333\pi\)
\(38\) 0.397806 5.30835i 0.0645326 0.861127i
\(39\) 1.88297 + 0.580820i 0.301517 + 0.0930057i
\(40\) −0.0371327 0.495501i −0.00587119 0.0783456i
\(41\) −1.41910 + 6.21749i −0.221626 + 0.971008i 0.734628 + 0.678471i \(0.237357\pi\)
−0.956254 + 0.292538i \(0.905500\pi\)
\(42\) 0.691856 6.08974i 0.106756 0.939667i
\(43\) 2.77762 + 12.1696i 0.423583 + 1.85584i 0.510871 + 0.859657i \(0.329323\pi\)
−0.0872877 + 0.996183i \(0.527820\pi\)
\(44\) 3.04692 0.939849i 0.459340 0.141688i
\(45\) −0.0520796 0.132697i −0.00776356 0.0197812i
\(46\) −1.11380 1.03346i −0.164221 0.152375i
\(47\) −2.44020 1.66370i −0.355939 0.242675i 0.372127 0.928182i \(-0.378628\pi\)
−0.728066 + 0.685507i \(0.759581\pi\)
\(48\) 4.69393 0.677510
\(49\) 5.46473 + 4.37455i 0.780676 + 0.624936i
\(50\) 5.84728 0.826931
\(51\) −8.00774 5.45958i −1.12131 0.764495i
\(52\) −0.453026 0.420346i −0.0628233 0.0582915i
\(53\) 0.410204 + 1.04518i 0.0563458 + 0.143567i 0.956275 0.292470i \(-0.0944771\pi\)
−0.899929 + 0.436037i \(0.856382\pi\)
\(54\) −4.68631 + 1.44554i −0.637726 + 0.196713i
\(55\) −0.185360 0.812117i −0.0249940 0.109506i
\(56\) −4.33860 + 6.89068i −0.579770 + 0.920805i
\(57\) −1.98551 + 8.69909i −0.262987 + 1.15222i
\(58\) −0.296885 3.96165i −0.0389829 0.520190i
\(59\) 0.454641 + 0.140238i 0.0591892 + 0.0182575i 0.324208 0.945986i \(-0.394902\pi\)
−0.265019 + 0.964243i \(0.585378\pi\)
\(60\) −0.0146927 + 0.196060i −0.00189682 + 0.0253113i
\(61\) −1.73401 + 4.41818i −0.222017 + 0.565690i −0.997871 0.0652228i \(-0.979224\pi\)
0.775854 + 0.630913i \(0.217319\pi\)
\(62\) −8.96842 + 4.31896i −1.13899 + 0.548509i
\(63\) −0.606700 + 2.25588i −0.0764370 + 0.284215i
\(64\) −7.84589 3.77838i −0.980736 0.472297i
\(65\) −0.118351 + 0.109814i −0.0146796 + 0.0136207i
\(66\) 11.8186 1.78136i 1.45477 0.219271i
\(67\) −0.0180687 + 0.0312959i −0.00220745 + 0.00382341i −0.867127 0.498087i \(-0.834036\pi\)
0.864920 + 0.501910i \(0.167369\pi\)
\(68\) 1.51978 + 2.63234i 0.184301 + 0.319219i
\(69\) 1.58792 + 1.99119i 0.191164 + 0.239712i
\(70\) 0.403759 + 0.298565i 0.0482584 + 0.0356854i
\(71\) 5.16801 6.48048i 0.613330 0.769092i −0.374059 0.927405i \(-0.622034\pi\)
0.987389 + 0.158313i \(0.0506056\pi\)
\(72\) −2.68706 0.405009i −0.316673 0.0477308i
\(73\) −1.48444 + 1.01208i −0.173741 + 0.118455i −0.647068 0.762432i \(-0.724005\pi\)
0.473327 + 0.880887i \(0.343053\pi\)
\(74\) −7.00495 + 4.77589i −0.814309 + 0.555186i
\(75\) −9.69175 1.46080i −1.11911 0.168678i
\(76\) 1.74477 2.18787i 0.200139 0.250966i
\(77\) −5.47041 + 12.5067i −0.623412 + 1.42527i
\(78\) −1.44432 1.81112i −0.163537 0.205069i
\(79\) −5.95234 10.3097i −0.669690 1.15994i −0.977991 0.208648i \(-0.933094\pi\)
0.308301 0.951289i \(-0.400240\pi\)
\(80\) −0.192293 + 0.333061i −0.0214990 + 0.0372374i
\(81\) 10.7478 1.61998i 1.19420 0.179997i
\(82\) 5.49580 5.09936i 0.606910 0.563130i
\(83\) 13.4294 + 6.46727i 1.47407 + 0.709875i 0.986584 0.163255i \(-0.0521994\pi\)
0.487487 + 0.873130i \(0.337914\pi\)
\(84\) 2.10389 2.44019i 0.229553 0.266247i
\(85\) 0.715436 0.344536i 0.0776000 0.0373702i
\(86\) 5.36111 13.6599i 0.578104 1.47298i
\(87\) −0.497639 + 6.64053i −0.0533525 + 0.711939i
\(88\) −15.1739 4.68052i −1.61754 0.498945i
\(89\) −0.583394 7.78485i −0.0618396 0.825192i −0.938763 0.344563i \(-0.888027\pi\)
0.876924 0.480630i \(-0.159592\pi\)
\(90\) −0.0372901 + 0.163379i −0.00393072 + 0.0172216i
\(91\) 2.62939 0.293797i 0.275635 0.0307983i
\(92\) −0.177737 0.778718i −0.0185304 0.0811870i
\(93\) 15.9440 4.91806i 1.65331 0.509979i
\(94\) 1.26844 + 3.23194i 0.130830 + 0.333350i
\(95\) −0.535912 0.497253i −0.0549834 0.0510171i
\(96\) 5.46238 + 3.72419i 0.557502 + 0.380098i
\(97\) 5.41424 0.549732 0.274866 0.961482i \(-0.411366\pi\)
0.274866 + 0.961482i \(0.411366\pi\)
\(98\) −2.41101 7.86798i −0.243549 0.794786i
\(99\) −4.55554 −0.457849
\(100\) 2.53977 + 1.73158i 0.253977 + 0.173158i
\(101\) 6.08027 + 5.64167i 0.605010 + 0.561367i 0.922063 0.387041i \(-0.126503\pi\)
−0.317053 + 0.948408i \(0.602693\pi\)
\(102\) 4.16253 + 10.6059i 0.412151 + 1.05014i
\(103\) 0.0141296 0.00435841i 0.00139223 0.000429447i −0.294059 0.955787i \(-0.595006\pi\)
0.295451 + 0.955358i \(0.404530\pi\)
\(104\) 0.684849 + 3.00052i 0.0671549 + 0.294225i
\(105\) −0.594634 0.595735i −0.0580303 0.0581378i
\(106\) 0.293715 1.28685i 0.0285281 0.124990i
\(107\) −0.732279 9.77158i −0.0707921 0.944654i −0.913646 0.406512i \(-0.866745\pi\)
0.842854 0.538143i \(-0.180874\pi\)
\(108\) −2.46357 0.759911i −0.237057 0.0731225i
\(109\) 0.872851 11.6474i 0.0836040 1.11562i −0.784796 0.619754i \(-0.787232\pi\)
0.868400 0.495864i \(-0.165149\pi\)
\(110\) −0.357765 + 0.911572i −0.0341116 + 0.0869149i
\(111\) 12.8037 6.16594i 1.21527 0.585245i
\(112\) 5.77886 2.51493i 0.546051 0.237638i
\(113\) −18.4237 8.87238i −1.73315 0.834643i −0.985311 0.170768i \(-0.945375\pi\)
−0.747843 0.663875i \(-0.768911\pi\)
\(114\) 7.68936 7.13469i 0.720175 0.668225i
\(115\) −0.206338 + 0.0311005i −0.0192411 + 0.00290013i
\(116\) 1.04423 1.80866i 0.0969543 0.167930i
\(117\) 0.441470 + 0.764649i 0.0408140 + 0.0706918i
\(118\) −0.348729 0.437293i −0.0321031 0.0402561i
\(119\) −12.7838 2.43107i −1.17189 0.222856i
\(120\) 0.610479 0.765516i 0.0557288 0.0698818i
\(121\) −15.4461 2.32812i −1.40419 0.211648i
\(122\) 4.61012 3.14313i 0.417381 0.284565i
\(123\) −10.3831 + 7.07910i −0.936215 + 0.638301i
\(124\) −5.17442 0.779919i −0.464677 0.0700388i
\(125\) 1.00400 1.25897i 0.0898004 0.112606i
\(126\) 2.08321 1.78940i 0.185587 0.159412i
\(127\) −3.13853 3.93559i −0.278499 0.349227i 0.622833 0.782354i \(-0.285981\pi\)
−0.901333 + 0.433127i \(0.857410\pi\)
\(128\) 1.76363 + 3.05470i 0.155885 + 0.270000i
\(129\) −12.2985 + 21.3017i −1.08282 + 1.87551i
\(130\) 0.187678 0.0282879i 0.0164605 0.00248101i
\(131\) −6.57819 + 6.10367i −0.574739 + 0.533280i −0.913100 0.407737i \(-0.866318\pi\)
0.338361 + 0.941017i \(0.390128\pi\)
\(132\) 5.66092 + 2.72615i 0.492720 + 0.237281i
\(133\) 2.21640 + 11.7736i 0.192186 + 1.02090i
\(134\) 0.0382755 0.0184325i 0.00330650 0.00159233i
\(135\) −0.246065 + 0.626962i −0.0211779 + 0.0539603i
\(136\) 1.13121 15.0949i 0.0970004 1.29438i
\(137\) 6.89180 + 2.12584i 0.588806 + 0.181623i 0.574821 0.818280i \(-0.305072\pi\)
0.0139858 + 0.999902i \(0.495548\pi\)
\(138\) −0.223743 2.98565i −0.0190463 0.254155i
\(139\) 3.47896 15.2423i 0.295081 1.29284i −0.582273 0.812993i \(-0.697837\pi\)
0.877354 0.479843i \(-0.159306\pi\)
\(140\) 0.0869571 + 0.249249i 0.00734922 + 0.0210654i
\(141\) −1.29500 5.67377i −0.109059 0.477818i
\(142\) −9.31134 + 2.87217i −0.781390 + 0.241027i
\(143\) 1.88498 + 4.80285i 0.157630 + 0.401635i
\(144\) 1.54178 + 1.43056i 0.128482 + 0.119214i
\(145\) −0.450797 0.307348i −0.0374366 0.0255239i
\(146\) 2.11209 0.174798
\(147\) 2.03059 + 13.6433i 0.167480 + 1.12528i
\(148\) −4.45690 −0.366355
\(149\) −11.5139 7.85003i −0.943254 0.643100i −0.00909586 0.999959i \(-0.502895\pi\)
−0.934158 + 0.356859i \(0.883848\pi\)
\(150\) 8.44635 + 7.83707i 0.689642 + 0.639894i
\(151\) −6.30598 16.0674i −0.513173 1.30754i −0.919239 0.393700i \(-0.871195\pi\)
0.406066 0.913844i \(-0.366900\pi\)
\(152\) −13.3171 + 4.10777i −1.08016 + 0.333184i
\(153\) −0.966332 4.23378i −0.0781233 0.342281i
\(154\) 13.5958 8.52529i 1.09558 0.686988i
\(155\) −0.304201 + 1.33279i −0.0244340 + 0.107052i
\(156\) −0.0910047 1.21437i −0.00728621 0.0972277i
\(157\) 8.28642 + 2.55602i 0.661328 + 0.203993i 0.607209 0.794542i \(-0.292289\pi\)
0.0541186 + 0.998535i \(0.482765\pi\)
\(158\) −1.04584 + 13.9558i −0.0832029 + 1.11027i
\(159\) −0.808314 + 2.05955i −0.0641034 + 0.163333i
\(160\) −0.488026 + 0.235021i −0.0385819 + 0.0185800i
\(161\) 3.02180 + 1.60065i 0.238151 + 0.126149i
\(162\) −11.5123 5.54404i −0.904494 0.435581i
\(163\) −7.33134 + 6.80249i −0.574235 + 0.532812i −0.912947 0.408078i \(-0.866199\pi\)
0.338712 + 0.940890i \(0.390009\pi\)
\(164\) 3.89720 0.587408i 0.304320 0.0458689i
\(165\) 0.820722 1.42153i 0.0638931 0.110666i
\(166\) −8.76136 15.1751i −0.680014 1.17782i
\(167\) 6.58983 + 8.26338i 0.509936 + 0.639440i 0.968438 0.249254i \(-0.0801853\pi\)
−0.458502 + 0.888693i \(0.651614\pi\)
\(168\) −15.5026 + 4.13854i −1.19605 + 0.319295i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) −0.923076 0.139131i −0.0707967 0.0106709i
\(171\) −3.30338 + 2.25221i −0.252616 + 0.172230i
\(172\) 6.37376 4.34556i 0.485995 0.331346i
\(173\) −16.4509 2.47957i −1.25074 0.188518i −0.509918 0.860223i \(-0.670324\pi\)
−0.740819 + 0.671705i \(0.765562\pi\)
\(174\) 4.88092 6.12048i 0.370022 0.463993i
\(175\) −12.7145 + 3.39424i −0.961128 + 0.256581i
\(176\) 7.66291 + 9.60899i 0.577614 + 0.724305i
\(177\) 0.468765 + 0.811925i 0.0352345 + 0.0610280i
\(178\) −4.58871 + 7.94787i −0.343938 + 0.595718i
\(179\) 7.56431 1.14014i 0.565383 0.0852178i 0.139870 0.990170i \(-0.455332\pi\)
0.425513 + 0.904952i \(0.360094\pi\)
\(180\) −0.0645790 + 0.0599206i −0.00481344 + 0.00446622i
\(181\) −17.7022 8.52494i −1.31580 0.633654i −0.361459 0.932388i \(-0.617721\pi\)
−0.954336 + 0.298734i \(0.903436\pi\)
\(182\) −2.74852 1.45589i −0.203734 0.107918i
\(183\) −8.42641 + 4.05795i −0.622898 + 0.299972i
\(184\) −1.45326 + 3.70284i −0.107135 + 0.272977i
\(185\) −0.0870118 + 1.16109i −0.00639723 + 0.0853652i
\(186\) −18.7435 5.78160i −1.37434 0.423927i
\(187\) −1.89639 25.3056i −0.138678 1.85053i
\(188\) −0.406142 + 1.77942i −0.0296209 + 0.129778i
\(189\) 9.35097 5.86354i 0.680183 0.426510i
\(190\) 0.191242 + 0.837886i 0.0138742 + 0.0607867i
\(191\) −6.84623 + 2.11178i −0.495376 + 0.152803i −0.532369 0.846512i \(-0.678698\pi\)
0.0369934 + 0.999316i \(0.488222\pi\)
\(192\) −6.26918 15.9736i −0.452439 1.15280i
\(193\) −10.1138 9.38420i −0.728004 0.675489i 0.226390 0.974037i \(-0.427307\pi\)
−0.954395 + 0.298547i \(0.903498\pi\)
\(194\) −5.25892 3.58547i −0.377569 0.257422i
\(195\) −0.318140 −0.0227824
\(196\) 1.28276 4.13144i 0.0916255 0.295103i
\(197\) −2.04098 −0.145414 −0.0727068 0.997353i \(-0.523164\pi\)
−0.0727068 + 0.997353i \(0.523164\pi\)
\(198\) 4.42486 + 3.01682i 0.314461 + 0.214396i
\(199\) −0.517927 0.480566i −0.0367148 0.0340664i 0.661602 0.749855i \(-0.269877\pi\)
−0.698317 + 0.715789i \(0.746067\pi\)
\(200\) −5.59271 14.2500i −0.395464 1.00763i
\(201\) −0.0680458 + 0.0209894i −0.00479958 + 0.00148048i
\(202\) −2.16977 9.50638i −0.152664 0.668866i
\(203\) 2.94522 + 8.44201i 0.206714 + 0.592513i
\(204\) −1.33279 + 5.83935i −0.0933143 + 0.408837i
\(205\) −0.0769441 1.02675i −0.00537401 0.0717111i
\(206\) −0.0166106 0.00512368i −0.00115731 0.000356984i
\(207\) −0.0852800 + 1.13798i −0.00592737 + 0.0790952i
\(208\) 0.870271 2.21741i 0.0603424 0.153750i
\(209\) −21.0494 + 10.1369i −1.45602 + 0.701181i
\(210\) 0.183062 + 0.972431i 0.0126325 + 0.0671041i
\(211\) 24.2222 + 11.6648i 1.66753 + 0.803039i 0.998194 + 0.0600771i \(0.0191346\pi\)
0.669334 + 0.742962i \(0.266580\pi\)
\(212\) 0.508656 0.471963i 0.0349346 0.0324146i
\(213\) 16.1509 2.43436i 1.10664 0.166799i
\(214\) −5.75977 + 9.97621i −0.393730 + 0.681960i
\(215\) −1.00765 1.74530i −0.0687211 0.119029i
\(216\) 8.00509 + 10.0381i 0.544678 + 0.683004i
\(217\) 16.9942 14.5973i 1.15364 0.990929i
\(218\) −8.56107 + 10.7352i −0.579829 + 0.727083i
\(219\) −3.50074 0.527652i −0.236558 0.0356554i
\(220\) −0.425343 + 0.289994i −0.0286766 + 0.0195514i
\(221\) −4.06377 + 2.77063i −0.273359 + 0.186373i
\(222\) −16.5197 2.48994i −1.10873 0.167114i
\(223\) −2.24752 + 2.81830i −0.150505 + 0.188728i −0.851369 0.524568i \(-0.824227\pi\)
0.700863 + 0.713296i \(0.252798\pi\)
\(224\) 8.72029 + 1.65833i 0.582649 + 0.110802i
\(225\) −2.73817 3.43356i −0.182545 0.228904i
\(226\) 12.0196 + 20.8186i 0.799533 + 1.38483i
\(227\) −6.80594 + 11.7882i −0.451726 + 0.782412i −0.998493 0.0548723i \(-0.982525\pi\)
0.546767 + 0.837285i \(0.315858\pi\)
\(228\) 5.45270 0.821862i 0.361114 0.0544291i
\(229\) −2.12580 + 1.97245i −0.140477 + 0.130343i −0.747282 0.664508i \(-0.768641\pi\)
0.606805 + 0.794851i \(0.292451\pi\)
\(230\) 0.221015 + 0.106435i 0.0145733 + 0.00701812i
\(231\) −24.6647 + 10.7339i −1.62282 + 0.706240i
\(232\) −9.37069 + 4.51269i −0.615216 + 0.296272i
\(233\) 6.77055 17.2511i 0.443554 1.13016i −0.517961 0.855404i \(-0.673309\pi\)
0.961515 0.274752i \(-0.0885958\pi\)
\(234\) 0.0775678 1.03507i 0.00507076 0.0676646i
\(235\) 0.455638 + 0.140546i 0.0297226 + 0.00916819i
\(236\) −0.0219730 0.293209i −0.00143032 0.0190863i
\(237\) 5.21998 22.8702i 0.339074 1.48558i
\(238\) 10.8071 + 10.8271i 0.700521 + 0.701819i
\(239\) 0.627514 + 2.74932i 0.0405905 + 0.177839i 0.991160 0.132674i \(-0.0423564\pi\)
−0.950569 + 0.310513i \(0.899499\pi\)
\(240\) −0.724165 + 0.223375i −0.0467446 + 0.0144188i
\(241\) −8.46719 21.5740i −0.545419 1.38971i −0.892149 0.451741i \(-0.850803\pi\)
0.346730 0.937965i \(-0.387292\pi\)
\(242\) 13.4613 + 12.4902i 0.865322 + 0.802901i
\(243\) 7.35594 + 5.01519i 0.471884 + 0.321725i
\(244\) 2.93319 0.187778
\(245\) −1.05126 0.414836i −0.0671625 0.0265029i
\(246\) 14.7733 0.941910
\(247\) 3.74134 + 2.55080i 0.238056 + 0.162303i
\(248\) 19.1034 + 17.7254i 1.21307 + 1.12556i
\(249\) 10.7307 + 27.3413i 0.680028 + 1.73268i
\(250\) −1.80893 + 0.557981i −0.114407 + 0.0352898i
\(251\) −5.90618 25.8767i −0.372795 1.63332i −0.718892 0.695121i \(-0.755351\pi\)
0.346098 0.938198i \(-0.387506\pi\)
\(252\) 1.43474 0.160312i 0.0903804 0.0100987i
\(253\) −1.48388 + 6.50131i −0.0932909 + 0.408734i
\(254\) 0.442228 + 5.90112i 0.0277478 + 0.370269i
\(255\) 1.49522 + 0.461215i 0.0936344 + 0.0288824i
\(256\) −0.991665 + 13.2328i −0.0619790 + 0.827053i
\(257\) 5.54513 14.1288i 0.345896 0.881329i −0.647016 0.762476i \(-0.723983\pi\)
0.992912 0.118852i \(-0.0379214\pi\)
\(258\) 26.0523 12.5461i 1.62195 0.781089i
\(259\) 12.4595 14.4511i 0.774194 0.897948i
\(260\) 0.0898949 + 0.0432911i 0.00557505 + 0.00268480i
\(261\) −2.18728 + 2.02950i −0.135389 + 0.125623i
\(262\) 10.4315 1.57230i 0.644462 0.0971370i
\(263\) −8.22733 + 14.2501i −0.507319 + 0.878702i 0.492645 + 0.870230i \(0.336030\pi\)
−0.999964 + 0.00847167i \(0.997303\pi\)
\(264\) −15.6453 27.0984i −0.962899 1.66779i
\(265\) −0.113023 0.141727i −0.00694296 0.00870620i
\(266\) 5.64400 12.9036i 0.346056 0.791170i
\(267\) 9.59127 12.0271i 0.586976 0.736045i
\(268\) 0.0220835 + 0.00332855i 0.00134896 + 0.000203323i
\(269\) −9.28014 + 6.32709i −0.565820 + 0.385770i −0.812178 0.583409i \(-0.801718\pi\)
0.246358 + 0.969179i \(0.420766\pi\)
\(270\) 0.654200 0.446026i 0.0398133 0.0271443i
\(271\) 27.2518 + 4.10755i 1.65543 + 0.249516i 0.909257 0.416234i \(-0.136650\pi\)
0.746174 + 0.665751i \(0.231889\pi\)
\(272\) −7.30482 + 9.15995i −0.442920 + 0.555404i
\(273\) 4.19190 + 3.09976i 0.253706 + 0.187606i
\(274\) −5.28631 6.62882i −0.319358 0.400462i
\(275\) −12.8315 22.2249i −0.773771 1.34021i
\(276\) 0.786970 1.36307i 0.0473700 0.0820473i
\(277\) 31.0984 4.68733i 1.86852 0.281634i 0.885432 0.464768i \(-0.153862\pi\)
0.983088 + 0.183134i \(0.0586243\pi\)
\(278\) −13.4731 + 12.5012i −0.808062 + 0.749772i
\(279\) 6.73586 + 3.24382i 0.403266 + 0.194203i
\(280\) 0.341431 1.26954i 0.0204044 0.0758694i
\(281\) −12.4003 + 5.97168i −0.739741 + 0.356241i −0.765507 0.643427i \(-0.777512\pi\)
0.0257660 + 0.999668i \(0.491798\pi\)
\(282\) −2.49949 + 6.36860i −0.148843 + 0.379245i
\(283\) −0.269339 + 3.59408i −0.0160106 + 0.213646i 0.983460 + 0.181123i \(0.0579732\pi\)
−0.999471 + 0.0325229i \(0.989646\pi\)
\(284\) −4.89492 1.50988i −0.290460 0.0895951i
\(285\) −0.107655 1.43656i −0.00637693 0.0850943i
\(286\) 1.34969 5.91337i 0.0798088 0.349665i
\(287\) −8.99017 + 14.2784i −0.530673 + 0.842829i
\(288\) 0.659172 + 2.88802i 0.0388421 + 0.170178i
\(289\) 6.87121 2.11949i 0.404189 0.124676i
\(290\) 0.234330 + 0.597063i 0.0137603 + 0.0350608i
\(291\) 7.82082 + 7.25666i 0.458465 + 0.425393i
\(292\) 0.917385 + 0.625462i 0.0536859 + 0.0366024i
\(293\) 27.7405 1.62062 0.810309 0.586003i \(-0.199299\pi\)
0.810309 + 0.586003i \(0.199299\pi\)
\(294\) 7.06270 14.5967i 0.411905 0.851296i
\(295\) −0.0768143 −0.00447230
\(296\) 18.3390 + 12.5033i 1.06593 + 0.726739i
\(297\) 15.7782 + 14.6400i 0.915542 + 0.849499i
\(298\) 5.98507 + 15.2497i 0.346706 + 0.883391i
\(299\) 1.23505 0.380962i 0.0714247 0.0220316i
\(300\) 1.34784 + 5.90529i 0.0778177 + 0.340942i
\(301\) −3.72806 + 32.8146i −0.214882 + 1.89140i
\(302\) −4.51522 + 19.7825i −0.259822 + 1.13835i
\(303\) 1.22142 + 16.2987i 0.0701686 + 0.936335i
\(304\) 10.3072 + 3.17935i 0.591159 + 0.182348i
\(305\) 0.0572645 0.764142i 0.00327896 0.0437546i
\(306\) −1.86513 + 4.75226i −0.106622 + 0.271669i
\(307\) −13.8179 + 6.65433i −0.788627 + 0.379783i −0.784437 0.620208i \(-0.787048\pi\)
−0.00419020 + 0.999991i \(0.501334\pi\)
\(308\) 8.42998 + 0.323239i 0.480343 + 0.0184183i
\(309\) 0.0262517 + 0.0126421i 0.00149340 + 0.000719186i
\(310\) 1.17809 1.09311i 0.0669110 0.0620843i
\(311\) 2.93288 0.442060i 0.166308 0.0250669i −0.0653603 0.997862i \(-0.520820\pi\)
0.231668 + 0.972795i \(0.425582\pi\)
\(312\) −3.03231 + 5.25212i −0.171671 + 0.297343i
\(313\) 13.2355 + 22.9245i 0.748113 + 1.29577i 0.948726 + 0.316099i \(0.102373\pi\)
−0.200614 + 0.979670i \(0.564294\pi\)
\(314\) −6.35604 7.97022i −0.358692 0.449785i
\(315\) −0.0137535 0.376902i −0.000774920 0.0212360i
\(316\) −4.58706 + 5.75200i −0.258043 + 0.323575i
\(317\) 25.5276 + 3.84767i 1.43377 + 0.216107i 0.819542 0.573019i \(-0.194228\pi\)
0.614231 + 0.789126i \(0.289466\pi\)
\(318\) 2.14902 1.46518i 0.120511 0.0821632i
\(319\) −14.4063 + 9.82204i −0.806598 + 0.549929i
\(320\) 1.39025 + 0.209546i 0.0777171 + 0.0117140i
\(321\) 12.0390 15.0964i 0.671952 0.842601i
\(322\) −1.87512 3.55586i −0.104496 0.198160i
\(323\) −13.8859 17.4124i −0.772633 0.968851i
\(324\) −3.35859 5.81725i −0.186588 0.323181i
\(325\) −2.48697 + 4.30755i −0.137952 + 0.238940i
\(326\) 11.6259 1.75232i 0.643897 0.0970518i
\(327\) 16.8717 15.6547i 0.933009 0.865706i
\(328\) −17.6838 8.51607i −0.976425 0.470222i
\(329\) −4.63423 6.29134i −0.255494 0.346853i
\(330\) −1.73856 + 0.837247i −0.0957047 + 0.0460889i
\(331\) −0.188239 + 0.479626i −0.0103466 + 0.0263626i −0.935954 0.352123i \(-0.885460\pi\)
0.925607 + 0.378486i \(0.123555\pi\)
\(332\) 0.688385 9.18585i 0.0377800 0.504139i
\(333\) 6.08472 + 1.87689i 0.333441 + 0.102853i
\(334\) −0.928526 12.3903i −0.0508067 0.677968i
\(335\) 0.00129827 0.00568810i 7.09322e−5 0.000310774i
\(336\) 11.7183 + 4.11257i 0.639283 + 0.224359i
\(337\) 4.09205 + 17.9285i 0.222908 + 0.976625i 0.955276 + 0.295716i \(0.0955581\pi\)
−0.732368 + 0.680909i \(0.761585\pi\)
\(338\) −1.12336 + 0.346510i −0.0611026 + 0.0188477i
\(339\) −14.7213 37.5092i −0.799550 2.03722i
\(340\) −0.359736 0.333786i −0.0195094 0.0181021i
\(341\) 36.0966 + 24.6102i 1.95474 + 1.33272i
\(342\) 4.70010 0.254152
\(343\) 9.80980 + 15.7088i 0.529680 + 0.848198i
\(344\) −38.4172 −2.07132
\(345\) −0.339737 0.231629i −0.0182908 0.0124705i
\(346\) 14.3369 + 13.3027i 0.770757 + 0.715158i
\(347\) −10.9093 27.7963i −0.585640 1.49219i −0.849481 0.527620i \(-0.823085\pi\)
0.263841 0.964566i \(-0.415011\pi\)
\(348\) 3.93251 1.21302i 0.210805 0.0650247i
\(349\) 4.76779 + 20.8891i 0.255214 + 1.11817i 0.926300 + 0.376786i \(0.122971\pi\)
−0.671086 + 0.741379i \(0.734172\pi\)
\(350\) 14.5976 + 5.12308i 0.780273 + 0.273840i
\(351\) 0.928291 4.06711i 0.0495485 0.217086i
\(352\) 1.29360 + 17.2619i 0.0689491 + 0.920062i
\(353\) 26.8976 + 8.29681i 1.43162 + 0.441595i 0.911074 0.412242i \(-0.135254\pi\)
0.520541 + 0.853837i \(0.325730\pi\)
\(354\) 0.0823635 1.09907i 0.00437757 0.0584146i
\(355\) −0.488911 + 1.24573i −0.0259487 + 0.0661162i
\(356\) −4.34674 + 2.09328i −0.230377 + 0.110944i
\(357\) −15.2077 20.6456i −0.804876 1.09268i
\(358\) −8.10236 3.90189i −0.428223 0.206221i
\(359\) −19.7849 + 18.3577i −1.04421 + 0.968884i −0.999546 0.0301186i \(-0.990412\pi\)
−0.0446618 + 0.999002i \(0.514221\pi\)
\(360\) 0.433825 0.0653886i 0.0228646 0.00344628i
\(361\) −0.752087 + 1.30265i −0.0395835 + 0.0685606i
\(362\) 11.5489 + 20.0034i 0.606999 + 1.05135i
\(363\) −19.1914 24.0652i −1.00729 1.26310i
\(364\) −0.762680 1.44630i −0.0399753 0.0758067i
\(365\) 0.180852 0.226782i 0.00946625 0.0118703i
\(366\) 10.8720 + 1.63869i 0.568288 + 0.0856557i
\(367\) 26.2285 17.8823i 1.36912 0.933449i 0.369126 0.929379i \(-0.379657\pi\)
0.999992 0.00406983i \(-0.00129547\pi\)
\(368\) 2.54379 1.73433i 0.132604 0.0904081i
\(369\) −5.56796 0.839235i −0.289856 0.0436888i
\(370\) 0.853426 1.07016i 0.0443675 0.0556351i
\(371\) 0.108329 + 2.96866i 0.00562416 + 0.154125i
\(372\) −6.42909 8.06183i −0.333333 0.417986i
\(373\) −14.6602 25.3922i −0.759075 1.31476i −0.943323 0.331877i \(-0.892318\pi\)
0.184247 0.982880i \(-0.441015\pi\)
\(374\) −14.9161 + 25.8355i −0.771296 + 1.33592i
\(375\) 3.13766 0.472926i 0.162028 0.0244218i
\(376\) 6.66312 6.18247i 0.343624 0.318836i
\(377\) 3.04472 + 1.46626i 0.156811 + 0.0755163i
\(378\) −12.9657 0.497159i −0.666886 0.0255711i
\(379\) 11.4177 5.49845i 0.586486 0.282437i −0.117016 0.993130i \(-0.537333\pi\)
0.703502 + 0.710693i \(0.251619\pi\)
\(380\) −0.165061 + 0.420569i −0.00846746 + 0.0215747i
\(381\) 0.741263 9.89147i 0.0379761 0.506755i
\(382\) 8.04832 + 2.48258i 0.411788 + 0.127020i
\(383\) −0.428952 5.72396i −0.0219184 0.292481i −0.997382 0.0723182i \(-0.976960\pi\)
0.975463 0.220163i \(-0.0706588\pi\)
\(384\) −1.54664 + 6.77628i −0.0789267 + 0.345801i
\(385\) 0.248787 2.18983i 0.0126793 0.111604i
\(386\) 3.60913 + 15.8126i 0.183700 + 0.804843i
\(387\) −10.5317 + 3.24859i −0.535356 + 0.165135i
\(388\) −1.22243 3.11470i −0.0620594 0.158125i
\(389\) −6.50384 6.03468i −0.329758 0.305970i 0.497866 0.867254i \(-0.334117\pi\)
−0.827624 + 0.561284i \(0.810308\pi\)
\(390\) 0.309013 + 0.210682i 0.0156475 + 0.0106683i
\(391\) −6.35688 −0.321481
\(392\) −16.8684 + 13.4011i −0.851984 + 0.676859i
\(393\) −17.6828 −0.891981
\(394\) 1.98243 + 1.35160i 0.0998734 + 0.0680925i
\(395\) 1.40893 + 1.30730i 0.0708910 + 0.0657772i
\(396\) 1.02855 + 2.62071i 0.0516867 + 0.131696i
\(397\) 8.98220 2.77064i 0.450804 0.139055i −0.0610358 0.998136i \(-0.519440\pi\)
0.511840 + 0.859081i \(0.328964\pi\)
\(398\) 0.184824 + 0.809767i 0.00926439 + 0.0405900i
\(399\) −12.5785 + 19.9774i −0.629710 + 1.00012i
\(400\) −2.63649 + 11.5512i −0.131825 + 0.577562i
\(401\) −0.0784244 1.04650i −0.00391633 0.0522598i 0.994903 0.100834i \(-0.0321512\pi\)
−0.998820 + 0.0485745i \(0.984532\pi\)
\(402\) 0.0799937 + 0.0246748i 0.00398972 + 0.00123067i
\(403\) 0.632772 8.44376i 0.0315206 0.420614i
\(404\) 1.87273 4.77163i 0.0931717 0.237398i
\(405\) −1.58105 + 0.761395i −0.0785631 + 0.0378340i
\(406\) 2.72982 10.1503i 0.135479 0.503749i
\(407\) 33.5246 + 16.1446i 1.66175 + 0.800258i
\(408\) 21.8657 20.2884i 1.08251 1.00442i
\(409\) 12.8145 1.93148i 0.633636 0.0955053i 0.175633 0.984456i \(-0.443803\pi\)
0.458003 + 0.888950i \(0.348565\pi\)
\(410\) −0.605207 + 1.04825i −0.0298890 + 0.0517693i
\(411\) 7.10590 + 12.3078i 0.350508 + 0.607098i
\(412\) −0.00569750 0.00714443i −0.000280695 0.000351981i
\(413\) 1.01213 + 0.748433i 0.0498036 + 0.0368280i
\(414\) 0.836441 1.04886i 0.0411088 0.0515488i
\(415\) −2.37962 0.358669i −0.116811 0.0176064i
\(416\) 2.77205 1.88995i 0.135911 0.0926626i
\(417\) 25.4545 17.3546i 1.24651 0.849857i
\(418\) 27.1585 + 4.09349i 1.32837 + 0.200219i
\(419\) 1.61597 2.02636i 0.0789453 0.0989943i −0.740790 0.671736i \(-0.765549\pi\)
0.819736 + 0.572742i \(0.194120\pi\)
\(420\) −0.208457 + 0.476586i −0.0101717 + 0.0232550i
\(421\) −8.02926 10.0684i −0.391322 0.490703i 0.546675 0.837345i \(-0.315893\pi\)
−0.937997 + 0.346642i \(0.887322\pi\)
\(422\) −15.8026 27.3709i −0.769259 1.33239i
\(423\) 1.30383 2.25830i 0.0633943 0.109802i
\(424\) −3.41701 + 0.515032i −0.165945 + 0.0250122i
\(425\) 17.9332 16.6396i 0.869890 0.807140i
\(426\) −17.2997 8.33110i −0.838173 0.403643i
\(427\) −8.19987 + 9.51061i −0.396820 + 0.460251i
\(428\) −5.45605 + 2.62750i −0.263728 + 0.127005i
\(429\) −3.71439 + 9.46411i −0.179332 + 0.456932i
\(430\) −0.177047 + 2.36253i −0.00853798 + 0.113931i
\(431\) 23.3867 + 7.21384i 1.12650 + 0.347479i 0.801357 0.598187i \(-0.204112\pi\)
0.325141 + 0.945665i \(0.394588\pi\)
\(432\) −0.742617 9.90954i −0.0357292 0.476773i
\(433\) −5.35867 + 23.4779i −0.257521 + 1.12827i 0.666371 + 0.745620i \(0.267847\pi\)
−0.923892 + 0.382653i \(0.875010\pi\)
\(434\) −26.1734 + 2.92452i −1.25637 + 0.140381i
\(435\) −0.239236 1.04816i −0.0114705 0.0502555i
\(436\) −6.89758 + 2.12762i −0.330334 + 0.101895i
\(437\) 2.13816 + 5.44793i 0.102282 + 0.260610i
\(438\) 3.05089 + 2.83082i 0.145777 + 0.135262i
\(439\) −19.8332 13.5220i −0.946587 0.645372i −0.0115542 0.999933i \(-0.503678\pi\)
−0.935033 + 0.354561i \(0.884630\pi\)
\(440\) 2.56371 0.122220
\(441\) −3.49109 + 5.10019i −0.166243 + 0.242866i
\(442\) 5.78200 0.275022
\(443\) −10.0265 6.83594i −0.476373 0.324785i 0.301219 0.953555i \(-0.402606\pi\)
−0.777592 + 0.628770i \(0.783559\pi\)
\(444\) −6.43796 5.97356i −0.305532 0.283492i
\(445\) 0.460471 + 1.17326i 0.0218284 + 0.0556179i
\(446\) 4.04942 1.24908i 0.191745 0.0591456i
\(447\) −6.11037 26.7713i −0.289011 1.26624i
\(448\) −16.2766 16.3068i −0.768998 0.770422i
\(449\) −6.07214 + 26.6038i −0.286562 + 1.25551i 0.602646 + 0.798009i \(0.294113\pi\)
−0.889208 + 0.457502i \(0.848744\pi\)
\(450\) 0.385817 + 5.14837i 0.0181876 + 0.242696i
\(451\) −31.4423 9.69868i −1.48056 0.456693i
\(452\) −0.944388 + 12.6020i −0.0444203 + 0.592747i
\(453\) 12.4260 31.6610i 0.583826 1.48757i
\(454\) 14.4172 6.94297i 0.676634 0.325850i
\(455\) −0.391673 + 0.170454i −0.0183619 + 0.00799100i
\(456\) −24.7420 11.9151i −1.15865 0.557977i
\(457\) −3.27133 + 3.03535i −0.153026 + 0.141988i −0.752971 0.658054i \(-0.771380\pi\)
0.599944 + 0.800042i \(0.295189\pi\)
\(458\) 3.37103 0.508101i 0.157518 0.0237420i
\(459\) −10.2591 + 17.7692i −0.478852 + 0.829395i
\(460\) 0.0644785 + 0.111680i 0.00300633 + 0.00520711i
\(461\) 10.0558 + 12.6095i 0.468344 + 0.587285i 0.958765 0.284201i \(-0.0917283\pi\)
−0.490421 + 0.871486i \(0.663157\pi\)
\(462\) 31.0655 + 5.90768i 1.44530 + 0.274850i
\(463\) 15.9362 19.9834i 0.740618 0.928706i −0.258688 0.965961i \(-0.583290\pi\)
0.999306 + 0.0372552i \(0.0118614\pi\)
\(464\) 7.96006 + 1.19979i 0.369536 + 0.0556986i
\(465\) −2.22574 + 1.51749i −0.103216 + 0.0703718i
\(466\) −18.0005 + 12.2726i −0.833859 + 0.568515i
\(467\) −20.6591 3.11387i −0.955991 0.144093i −0.347524 0.937671i \(-0.612977\pi\)
−0.608468 + 0.793579i \(0.708215\pi\)
\(468\) 0.340211 0.426612i 0.0157263 0.0197201i
\(469\) −0.0725279 + 0.0622986i −0.00334903 + 0.00287668i
\(470\) −0.349494 0.438252i −0.0161210 0.0202150i
\(471\) 8.54385 + 14.7984i 0.393680 + 0.681873i
\(472\) −0.732148 + 1.26812i −0.0336998 + 0.0583698i
\(473\) −63.6844 + 9.59888i −2.92821 + 0.441357i
\(474\) −20.2156 + 18.7573i −0.928533 + 0.861553i
\(475\) −20.2923 9.77225i −0.931074 0.448382i
\(476\) 1.48778 + 7.90312i 0.0681922 + 0.362239i
\(477\) −0.893187 + 0.430136i −0.0408962 + 0.0196946i
\(478\) 1.21117 3.08601i 0.0553976 0.141151i
\(479\) 0.540987 7.21897i 0.0247183 0.329843i −0.971112 0.238623i \(-0.923304\pi\)
0.995831 0.0912206i \(-0.0290768\pi\)
\(480\) −1.01995 0.314612i −0.0465540 0.0143600i
\(481\) −0.538941 7.19166i −0.0245736 0.327912i
\(482\) −6.06269 + 26.5624i −0.276148 + 1.20988i
\(483\) 2.21963 + 6.36221i 0.100997 + 0.289491i
\(484\) 2.14810 + 9.41146i 0.0976411 + 0.427794i
\(485\) −0.835292 + 0.257653i −0.0379286 + 0.0116994i
\(486\) −3.82371 9.74266i −0.173447 0.441936i
\(487\) 14.9633 + 13.8839i 0.678051 + 0.629139i 0.942085 0.335374i \(-0.108863\pi\)
−0.264034 + 0.964513i \(0.585053\pi\)
\(488\) −12.0693 8.22870i −0.546351 0.372496i
\(489\) −19.7074 −0.891199
\(490\) 0.746386 + 1.09911i 0.0337183 + 0.0496528i
\(491\) −25.1682 −1.13582 −0.567912 0.823089i \(-0.692249\pi\)
−0.567912 + 0.823089i \(0.692249\pi\)
\(492\) 6.41677 + 4.37488i 0.289290 + 0.197235i
\(493\) −12.1842 11.3053i −0.548748 0.509164i
\(494\) −1.94479 4.95526i −0.0875004 0.222947i
\(495\) 0.702815 0.216790i 0.0315892 0.00974398i
\(496\) −4.48827 19.6644i −0.201529 0.882957i
\(497\) 18.5796 11.6504i 0.833411 0.522592i
\(498\) 7.68339 33.6631i 0.344301 1.50848i
\(499\) 1.41449 + 18.8750i 0.0633212 + 0.844963i 0.934946 + 0.354789i \(0.115447\pi\)
−0.871625 + 0.490173i \(0.836934\pi\)
\(500\) −0.950945 0.293328i −0.0425276 0.0131180i
\(501\) −1.55640 + 20.7687i −0.0695347 + 0.927876i
\(502\) −11.3996 + 29.0456i −0.508787 + 1.29637i
\(503\) −32.1335 + 15.4747i −1.43276 + 0.689982i −0.979509 0.201400i \(-0.935451\pi\)
−0.453253 + 0.891382i \(0.649737\pi\)
\(504\) −6.35332 3.36535i −0.282999 0.149905i
\(505\) −1.20652 0.581031i −0.0536895 0.0258555i
\(506\) 5.74668 5.33214i 0.255471 0.237043i
\(507\) 1.94851 0.293690i 0.0865363 0.0130433i
\(508\) −1.55544 + 2.69411i −0.0690117 + 0.119532i
\(509\) −0.0665249 0.115224i −0.00294866 0.00510723i 0.864547 0.502551i \(-0.167605\pi\)
−0.867496 + 0.497444i \(0.834272\pi\)
\(510\) −1.14690 1.43817i −0.0507855 0.0636830i
\(511\) −4.59260 + 1.22603i −0.203164 + 0.0542363i
\(512\) 14.1248 17.7120i 0.624236 0.782767i
\(513\) 18.6791 + 2.81542i 0.824703 + 0.124304i
\(514\) −14.7426 + 10.0513i −0.650267 + 0.443345i
\(515\) −0.00197247 + 0.00134480i −8.69172e−5 + 5.92592e-5i
\(516\) 15.0312 + 2.26558i 0.661710 + 0.0997368i
\(517\) 9.50073 11.9135i 0.417842 0.523957i
\(518\) −21.6720 + 5.78552i −0.952215 + 0.254201i
\(519\) −20.4398 25.6307i −0.897207 1.12506i
\(520\) −0.248445 0.430320i −0.0108951 0.0188708i
\(521\) 12.1963 21.1246i 0.534329 0.925485i −0.464866 0.885381i \(-0.653898\pi\)
0.999195 0.0401044i \(-0.0127690\pi\)
\(522\) 3.46853 0.522797i 0.151814 0.0228822i
\(523\) −18.4119 + 17.0837i −0.805095 + 0.747019i −0.970989 0.239125i \(-0.923139\pi\)
0.165894 + 0.986144i \(0.446949\pi\)
\(524\) 4.99654 + 2.40621i 0.218275 + 0.105116i
\(525\) −22.9153 12.1382i −1.00011 0.529756i
\(526\) 17.4282 8.39298i 0.759906 0.365951i
\(527\) −15.2151 + 38.7674i −0.662779 + 1.68873i
\(528\) −1.80984 + 24.1507i −0.0787632 + 1.05102i
\(529\) −20.3819 6.28699i −0.886170 0.273347i
\(530\) 0.0159253 + 0.212509i 0.000691751 + 0.00923078i
\(531\) −0.0934776 + 0.409552i −0.00405658 + 0.0177730i
\(532\) 6.27267 3.93329i 0.271955 0.170530i
\(533\) 1.41910 + 6.21749i 0.0614681 + 0.269309i
\(534\) −17.2808 + 5.33043i −0.747815 + 0.230670i
\(535\) 0.577985 + 1.47268i 0.0249885 + 0.0636696i
\(536\) −0.0815297 0.0756485i −0.00352155 0.00326752i
\(537\) 12.4547 + 8.49147i 0.537460 + 0.366434i
\(538\) 13.2039 0.569262
\(539\) −24.6145 + 26.4298i −1.06022 + 1.13841i
\(540\) 0.416235 0.0179119
\(541\) −1.63855 1.11715i −0.0704468 0.0480298i 0.527585 0.849503i \(-0.323098\pi\)
−0.598031 + 0.801473i \(0.704050\pi\)
\(542\) −23.7500 22.0367i −1.02015 0.946559i
\(543\) −14.1448 36.0404i −0.607012 1.54664i
\(544\) −15.7683 + 4.86386i −0.676058 + 0.208536i
\(545\) 0.419617 + 1.83846i 0.0179744 + 0.0787510i
\(546\) −2.01890 5.78685i −0.0864009 0.247654i
\(547\) 0.698358 3.05971i 0.0298596 0.130824i −0.957801 0.287431i \(-0.907199\pi\)
0.987661 + 0.156608i \(0.0500558\pi\)
\(548\) −0.333083 4.44468i −0.0142286 0.189867i
\(549\) −4.00450 1.23522i −0.170908 0.0527181i
\(550\) −2.25454 + 30.0848i −0.0961340 + 1.28282i
\(551\) −5.59059 + 14.2446i −0.238167 + 0.606840i
\(552\) −7.06210 + 3.40093i −0.300583 + 0.144753i
\(553\) −5.82698 30.9531i −0.247789 1.31626i
\(554\) −33.3104 16.0414i −1.41522 0.681535i
\(555\) −1.68189 + 1.56057i −0.0713923 + 0.0662423i
\(556\) −9.55407 + 1.44004i −0.405183 + 0.0610715i
\(557\) 8.07873 13.9928i 0.342307 0.592893i −0.642554 0.766240i \(-0.722125\pi\)
0.984861 + 0.173348i \(0.0554585\pi\)
\(558\) −4.39448 7.61147i −0.186033 0.322219i
\(559\) 7.78273 + 9.75923i 0.329174 + 0.412771i
\(560\) −0.771864 + 0.663001i −0.0326172 + 0.0280169i
\(561\) 31.1776 39.0954i 1.31632 1.65061i
\(562\) 15.9992 + 2.41150i 0.674887 + 0.101723i
\(563\) 12.8099 8.73365i 0.539873 0.368079i −0.262472 0.964940i \(-0.584538\pi\)
0.802345 + 0.596860i \(0.203585\pi\)
\(564\) −2.97162 + 2.02601i −0.125128 + 0.0853106i
\(565\) 3.26457 + 0.492055i 0.137341 + 0.0207009i
\(566\) 2.64172 3.31262i 0.111040 0.139240i
\(567\) 28.2510 + 5.37246i 1.18643 + 0.225622i
\(568\) 15.9055 + 19.9449i 0.667380 + 0.836868i
\(569\) −2.72169 4.71411i −0.114099 0.197626i 0.803320 0.595548i \(-0.203065\pi\)
−0.917419 + 0.397922i \(0.869732\pi\)
\(570\) −0.846765 + 1.46664i −0.0354671 + 0.0614308i
\(571\) −3.32169 + 0.500664i −0.139008 + 0.0209521i −0.218178 0.975909i \(-0.570011\pi\)
0.0791695 + 0.996861i \(0.474773\pi\)
\(572\) 2.33739 2.16878i 0.0977312 0.0906813i
\(573\) −12.7197 6.12550i −0.531374 0.255896i
\(574\) 18.1879 7.91528i 0.759148 0.330377i
\(575\) −5.79202 + 2.78929i −0.241544 + 0.116321i
\(576\) 2.80907 7.15739i 0.117045 0.298225i
\(577\) −1.19657 + 15.9671i −0.0498139 + 0.664720i 0.915280 + 0.402817i \(0.131969\pi\)
−0.965094 + 0.261903i \(0.915650\pi\)
\(578\) −8.07769 2.49164i −0.335988 0.103638i
\(579\) −2.03167 27.1108i −0.0844335 1.12669i
\(580\) −0.0750299 + 0.328727i −0.00311545 + 0.0136497i
\(581\) 27.8599 + 27.9115i 1.15582 + 1.15796i
\(582\) −2.79089 12.2277i −0.115686 0.506854i
\(583\) −5.53571 + 1.70754i −0.229266 + 0.0707191i
\(584\) −2.02013 5.14722i −0.0835937 0.212993i
\(585\) −0.104497 0.0969590i −0.00432042 0.00400876i
\(586\) −26.9447 18.3706i −1.11308 0.758883i
\(587\) 39.0142 1.61029 0.805143 0.593080i \(-0.202088\pi\)
0.805143 + 0.593080i \(0.202088\pi\)
\(588\) 7.39027 4.24856i 0.304769 0.175208i
\(589\) 38.3419 1.57985
\(590\) 0.0746108 + 0.0508688i 0.00307168 + 0.00209424i
\(591\) −2.94817 2.73551i −0.121272 0.112524i
\(592\) −6.27624 15.9916i −0.257952 0.657251i
\(593\) 35.7549 11.0289i 1.46828 0.452904i 0.545459 0.838137i \(-0.316355\pi\)
0.922819 + 0.385233i \(0.125879\pi\)
\(594\) −5.63050 24.6688i −0.231022 1.01217i
\(595\) 2.08793 0.233297i 0.0855968 0.00956424i
\(596\) −1.91635 + 8.39608i −0.0784968 + 0.343917i
\(597\) −0.104042 1.38835i −0.00425816 0.0568212i
\(598\) −1.45190 0.447853i −0.0593728 0.0183141i
\(599\) 0.826927 11.0346i 0.0337873 0.450860i −0.954495 0.298226i \(-0.903605\pi\)
0.988283 0.152635i \(-0.0487758\pi\)
\(600\) 11.0205 28.0799i 0.449911 1.14636i
\(601\) 13.4343 6.46960i 0.547995 0.263901i −0.139336 0.990245i \(-0.544497\pi\)
0.687331 + 0.726345i \(0.258782\pi\)
\(602\) 25.3519 29.4044i 1.03327 1.19843i
\(603\) −0.0287474 0.0138440i −0.00117069 0.000563772i
\(604\) −7.81946 + 7.25540i −0.318169 + 0.295218i
\(605\) 2.49377 0.375875i 0.101386 0.0152815i
\(606\) 9.60711 16.6400i 0.390262 0.675954i
\(607\) −4.23189 7.32986i −0.171767 0.297510i 0.767271 0.641324i \(-0.221614\pi\)
−0.939038 + 0.343814i \(0.888281\pi\)
\(608\) 9.47210 + 11.8776i 0.384145 + 0.481702i
\(609\) −7.06041 + 16.1419i −0.286102 + 0.654102i
\(610\) −0.561660 + 0.704299i −0.0227409 + 0.0285162i
\(611\) −2.92039 0.440178i −0.118146 0.0178077i
\(612\) −2.21743 + 1.51182i −0.0896341 + 0.0611115i
\(613\) 18.3275 12.4955i 0.740241 0.504688i −0.133518 0.991046i \(-0.542627\pi\)
0.873759 + 0.486358i \(0.161675\pi\)
\(614\) 17.8282 + 2.68717i 0.719487 + 0.108445i
\(615\) 1.26500 1.58626i 0.0510096 0.0639640i
\(616\) −33.7803 24.9793i −1.36105 1.00644i
\(617\) −23.5667 29.5517i −0.948758 1.18971i −0.981736 0.190249i \(-0.939070\pi\)
0.0329775 0.999456i \(-0.489501\pi\)
\(618\) −0.0171266 0.0296641i −0.000688933 0.00119327i
\(619\) −17.1641 + 29.7291i −0.689884 + 1.19491i 0.281992 + 0.959417i \(0.409005\pi\)
−0.971875 + 0.235497i \(0.924328\pi\)
\(620\) 0.835409 0.125918i 0.0335508 0.00505698i
\(621\) 3.95247 3.66735i 0.158607 0.147166i
\(622\) −3.14149 1.51286i −0.125962 0.0606602i
\(623\) 5.36424 19.9458i 0.214914 0.799111i
\(624\) 4.22908 2.03662i 0.169299 0.0815300i
\(625\) 8.99093 22.9085i 0.359637 0.916341i
\(626\) 2.32551 31.0318i 0.0929462 1.24028i
\(627\) −43.9920 13.5697i −1.75687 0.541923i
\(628\) −0.400485 5.34410i −0.0159811 0.213253i
\(629\) −7.89296 + 34.5813i −0.314713 + 1.37885i
\(630\) −0.236237 + 0.375199i −0.00941193 + 0.0149483i
\(631\) 3.03983 + 13.3184i 0.121014 + 0.530196i 0.998701 + 0.0509614i \(0.0162285\pi\)
−0.877687 + 0.479235i \(0.840914\pi\)
\(632\) 35.0110 10.7995i 1.39266 0.429580i
\(633\) 19.3546 + 49.3146i 0.769275 + 1.96008i
\(634\) −22.2473 20.6425i −0.883552 0.819817i
\(635\) 0.671490 + 0.457814i 0.0266473 + 0.0181678i
\(636\) 1.36732 0.0542177
\(637\) 6.82160 + 1.57027i 0.270282 + 0.0622165i
\(638\) 20.4975 0.811504
\(639\) 6.04688 + 4.12269i 0.239211 + 0.163091i
\(640\) −0.417456 0.387342i −0.0165014 0.0153110i
\(641\) 8.04691 + 20.5032i 0.317834 + 0.809827i 0.997112 + 0.0759462i \(0.0241977\pi\)
−0.679278 + 0.733881i \(0.737707\pi\)
\(642\) −21.6910 + 6.69078i −0.856075 + 0.264064i
\(643\) 6.89370 + 30.2033i 0.271861 + 1.19110i 0.907814 + 0.419373i \(0.137750\pi\)
−0.635953 + 0.771728i \(0.719393\pi\)
\(644\) 0.238555 2.09977i 0.00940040 0.0827426i
\(645\) 0.883672 3.87162i 0.0347945 0.152445i
\(646\) 1.95657 + 26.1086i 0.0769801 + 1.02723i
\(647\) 18.6328 + 5.74744i 0.732529 + 0.225955i 0.638508 0.769615i \(-0.279552\pi\)
0.0940209 + 0.995570i \(0.470028\pi\)
\(648\) −2.49987 + 33.3585i −0.0982044 + 1.31045i
\(649\) −0.896834 + 2.28510i −0.0352038 + 0.0896978i
\(650\) 5.26822 2.53704i 0.206637 0.0995109i
\(651\) 44.1126 + 1.69145i 1.72891 + 0.0662932i
\(652\) 5.56861 + 2.68170i 0.218084 + 0.105023i
\(653\) 28.7045 26.6338i 1.12329 1.04226i 0.124546 0.992214i \(-0.460253\pi\)
0.998747 0.0500492i \(-0.0159378\pi\)
\(654\) −26.7548 + 4.03263i −1.04619 + 0.157688i
\(655\) 0.724401 1.25470i 0.0283047 0.0490251i
\(656\) 7.59571 + 13.1562i 0.296563 + 0.513662i
\(657\) −0.989051 1.24023i −0.0385866 0.0483860i
\(658\) 0.334978 + 9.17980i 0.0130588 + 0.357866i
\(659\) 12.1312 15.2121i 0.472566 0.592578i −0.487232 0.873273i \(-0.661993\pi\)
0.959797 + 0.280694i \(0.0905647\pi\)
\(660\) −1.00308 0.151190i −0.0390449 0.00588507i
\(661\) 19.9096 13.5741i 0.774393 0.527972i −0.110439 0.993883i \(-0.535226\pi\)
0.884832 + 0.465911i \(0.154273\pi\)
\(662\) 0.500463 0.341210i 0.0194510 0.0132615i
\(663\) −9.58355 1.44449i −0.372194 0.0560992i
\(664\) −28.6023 + 35.8661i −1.10998 + 1.39188i
\(665\) −0.902221 1.71092i −0.0349866 0.0663465i
\(666\) −4.66724 5.85254i −0.180852 0.226781i
\(667\) 2.18388 + 3.78259i 0.0845600 + 0.146462i
\(668\) 3.26590 5.65670i 0.126361 0.218864i
\(669\) −7.02388 + 1.05868i −0.271559 + 0.0409309i
\(670\) −0.00502786 + 0.00466518i −0.000194243 + 0.000180231i
\(671\) −22.0633 10.6251i −0.851745 0.410179i
\(672\) 10.3737 + 14.0832i 0.400176 + 0.543270i
\(673\) 13.1868 6.35043i 0.508314 0.244791i −0.162106 0.986773i \(-0.551829\pi\)
0.670419 + 0.741982i \(0.266114\pi\)
\(674\) 7.89810 20.1240i 0.304224 0.775149i
\(675\) −1.55063 + 20.6918i −0.0596839 + 0.796426i
\(676\) −0.590543 0.182158i −0.0227132 0.00700610i
\(677\) 1.61483 + 21.5484i 0.0620631 + 0.828174i 0.938196 + 0.346105i \(0.112496\pi\)
−0.876133 + 0.482070i \(0.839885\pi\)
\(678\) −10.5408 + 46.1821i −0.404816 + 1.77361i
\(679\) 13.5165 + 4.74366i 0.518715 + 0.182045i
\(680\) 0.543821 + 2.38263i 0.0208546 + 0.0913698i
\(681\) −25.6308 + 7.90605i −0.982174 + 0.302961i
\(682\) −18.7635 47.8085i −0.718490 1.83068i
\(683\) −1.74966 1.62345i −0.0669489 0.0621195i 0.645989 0.763347i \(-0.276445\pi\)
−0.712938 + 0.701227i \(0.752636\pi\)
\(684\) 2.04149 + 1.39186i 0.0780582 + 0.0532191i
\(685\) −1.16441 −0.0444898
\(686\) 0.874479 21.7546i 0.0333878 0.830594i
\(687\) −5.71435 −0.218016
\(688\) 24.5677 + 16.7500i 0.936634 + 0.638586i
\(689\) 0.823068 + 0.763696i 0.0313564 + 0.0290945i
\(690\) 0.176600 + 0.449969i 0.00672304 + 0.0171300i
\(691\) −20.4673 + 6.31333i −0.778613 + 0.240170i −0.658491 0.752589i \(-0.728805\pi\)
−0.120122 + 0.992759i \(0.538329\pi\)
\(692\) 2.28784 + 10.0237i 0.0869706 + 0.381043i
\(693\) −11.3728 3.99132i −0.432016 0.151618i
\(694\) −7.81127 + 34.2234i −0.296512 + 1.29910i
\(695\) 0.188630 + 2.51709i 0.00715515 + 0.0954788i
\(696\) −19.5842 6.04093i −0.742337 0.228981i
\(697\) 2.34402 31.2788i 0.0887862 1.18477i
\(698\) 9.20236 23.4472i 0.348314 0.887490i
\(699\) 32.9015 15.8445i 1.24445 0.599295i
\(700\) 4.82333 + 6.54805i 0.182305 + 0.247493i
\(701\) 11.1173 + 5.35383i 0.419896 + 0.202211i 0.631887 0.775060i \(-0.282280\pi\)
−0.211991 + 0.977272i \(0.567995\pi\)
\(702\) −3.59503 + 3.33570i −0.135686 + 0.125898i
\(703\) 32.2915 4.86716i 1.21790 0.183569i
\(704\) 22.4652 38.9109i 0.846690 1.46651i
\(705\) 0.469793 + 0.813706i 0.0176934 + 0.0306459i
\(706\) −20.6316 25.8712i −0.776481 0.973677i
\(707\) 10.2363 + 19.4115i 0.384975 + 0.730043i
\(708\) 0.361246 0.452988i 0.0135764 0.0170243i
\(709\) −32.3616 4.87773i −1.21537 0.183187i −0.490107 0.871662i \(-0.663042\pi\)
−0.725260 + 0.688476i \(0.758280\pi\)
\(710\) 1.29984 0.886219i 0.0487823 0.0332592i
\(711\) 8.68470 5.92113i 0.325702 0.222060i
\(712\) 23.7581 + 3.58096i 0.890373 + 0.134202i
\(713\) 6.82341 8.55628i 0.255539 0.320435i
\(714\) 1.09926 + 30.1244i 0.0411389 + 1.12738i
\(715\) −0.519368 0.651267i −0.0194233 0.0243560i
\(716\) −2.36377 4.09417i −0.0883383 0.153006i
\(717\) −2.77845 + 4.81242i −0.103763 + 0.179723i
\(718\) 31.3744 4.72893i 1.17088 0.176482i
\(719\) 0.954707 0.885838i 0.0356045 0.0330362i −0.662170 0.749354i \(-0.730364\pi\)
0.697774 + 0.716318i \(0.254174\pi\)
\(720\) −0.305939 0.147332i −0.0114017 0.00549075i
\(721\) 0.0390928 + 0.00149897i 0.00145589 + 5.58247e-5i
\(722\) 1.59317 0.767230i 0.0592916 0.0285533i
\(723\) 16.6847 42.5120i 0.620512 1.58104i
\(724\) −0.907406 + 12.1085i −0.0337235 + 0.450008i
\(725\) −16.0621 4.95450i −0.596531 0.184005i
\(726\) 2.70412 + 36.0840i 0.100359 + 1.33920i
\(727\) −11.0723 + 48.5111i −0.410651 + 1.79918i 0.170473 + 0.985362i \(0.445470\pi\)
−0.581124 + 0.813815i \(0.697387\pi\)
\(728\) −0.919189 + 8.09073i −0.0340674 + 0.299862i
\(729\) −3.35213 14.6867i −0.124153 0.543950i
\(730\) −0.325847 + 0.100510i −0.0120601 + 0.00372005i
\(731\) −22.4298 57.1501i −0.829595 2.11377i
\(732\) 4.23697 + 3.93134i 0.156603 + 0.145306i
\(733\) 32.4708 + 22.1382i 1.19934 + 0.817693i 0.987191 0.159545i \(-0.0510026\pi\)
0.212145 + 0.977238i \(0.431955\pi\)
\(734\) −37.3184 −1.37745
\(735\) −0.962534 2.00822i −0.0355036 0.0740744i
\(736\) 4.33627 0.159837
\(737\) −0.154054 0.105032i −0.00567463 0.00386890i
\(738\) 4.85247 + 4.50243i 0.178622 + 0.165737i
\(739\) −8.20378 20.9029i −0.301781 0.768926i −0.998661 0.0517375i \(-0.983524\pi\)
0.696880 0.717188i \(-0.254571\pi\)
\(740\) 0.687598 0.212096i 0.0252766 0.00779680i
\(741\) 1.98551 + 8.69909i 0.0729396 + 0.319569i
\(742\) 1.86072 2.95524i 0.0683092 0.108490i
\(743\) 4.08702 17.9064i 0.149938 0.656922i −0.842962 0.537973i \(-0.819190\pi\)
0.992900 0.118949i \(-0.0379525\pi\)
\(744\) 3.83753 + 51.2082i 0.140691 + 1.87739i
\(745\) 2.14990 + 0.663155i 0.0787661 + 0.0242961i
\(746\) −2.57584 + 34.3722i −0.0943082 + 1.25846i
\(747\) −4.80815 + 12.2510i −0.175921 + 0.448239i
\(748\) −14.1296 + 6.80446i −0.516630 + 0.248796i
\(749\) 6.73323 25.0361i 0.246027 0.914797i
\(750\) −3.36084 1.61850i −0.122721 0.0590991i
\(751\) −36.5479 + 33.9115i −1.33365 + 1.23745i −0.384309 + 0.923205i \(0.625560\pi\)
−0.949343 + 0.314243i \(0.898249\pi\)
\(752\) −6.95660 + 1.04854i −0.253681 + 0.0382363i
\(753\) 26.1509 45.2946i 0.952990 1.65063i
\(754\) −1.98638 3.44051i −0.0723397 0.125296i
\(755\) 1.73748 + 2.17873i 0.0632335 + 0.0792923i
\(756\) −5.48444 4.05555i −0.199467 0.147499i
\(757\) −31.0110 + 38.8865i −1.12711 + 1.41335i −0.229090 + 0.973405i \(0.573575\pi\)
−0.898023 + 0.439949i \(0.854997\pi\)
\(758\) −14.7314 2.22040i −0.535068 0.0806485i
\(759\) −10.8571 + 7.40226i −0.394088 + 0.268685i
\(760\) 1.85904 1.26747i 0.0674343 0.0459759i
\(761\) −15.2445 2.29773i −0.552611 0.0832927i −0.133200 0.991089i \(-0.542525\pi\)
−0.419411 + 0.907796i \(0.637763\pi\)
\(762\) −7.27043 + 9.11684i −0.263380 + 0.330268i
\(763\) 12.3839 28.3126i 0.448326 1.02499i
\(764\) 2.76061 + 3.46169i 0.0998753 + 0.125240i
\(765\) 0.350560 + 0.607188i 0.0126745 + 0.0219529i
\(766\) −3.37394 + 5.84383i −0.121905 + 0.211146i
\(767\) 0.470465 0.0709111i 0.0169875 0.00256045i
\(768\) −19.1683 + 17.7856i −0.691678 + 0.641783i
\(769\) −11.2022 5.39472i −0.403963 0.194538i 0.220859 0.975306i \(-0.429114\pi\)
−0.624822 + 0.780767i \(0.714828\pi\)
\(770\) −1.69182 + 1.96226i −0.0609690 + 0.0707148i
\(771\) 26.9466 12.9768i 0.970458 0.467348i
\(772\) −3.11505 + 7.93701i −0.112113 + 0.285659i
\(773\)