Properties

Label 731.2.j.a.135.6
Level 731
Weight 2
Character 731.135
Analytic conductor 5.837
Analytic rank 0
Dimension 128
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.j (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(64\) over \(\Q(\zeta_{6})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 135.6
Character \(\chi\) = 731.135
Dual form 731.2.j.a.509.6

$q$-expansion

\(f(q)\) \(=\) \(q-2.51145 q^{2} +(1.76122 + 1.01684i) q^{3} +4.30737 q^{4} +(-1.18626 - 0.684888i) q^{5} +(-4.42321 - 2.55374i) q^{6} +(-3.84346 + 2.21902i) q^{7} -5.79485 q^{8} +(0.567928 + 0.983681i) q^{9} +O(q^{10})\) \(q-2.51145 q^{2} +(1.76122 + 1.01684i) q^{3} +4.30737 q^{4} +(-1.18626 - 0.684888i) q^{5} +(-4.42321 - 2.55374i) q^{6} +(-3.84346 + 2.21902i) q^{7} -5.79485 q^{8} +(0.567928 + 0.983681i) q^{9} +(2.97923 + 1.72006i) q^{10} +5.71903i q^{11} +(7.58623 + 4.37991i) q^{12} +(-0.967741 - 1.67618i) q^{13} +(9.65264 - 5.57296i) q^{14} +(-1.39284 - 2.41247i) q^{15} +5.93872 q^{16} +(1.23567 + 3.93359i) q^{17} +(-1.42632 - 2.47046i) q^{18} +(3.28388 - 5.68786i) q^{19} +(-5.10967 - 2.95007i) q^{20} -9.02556 q^{21} -14.3631i q^{22} +(-3.56220 - 2.05664i) q^{23} +(-10.2060 - 5.89244i) q^{24} +(-1.56186 - 2.70522i) q^{25} +(2.43043 + 4.20963i) q^{26} -3.79107i q^{27} +(-16.5552 + 9.55815i) q^{28} +(1.60279 - 0.925373i) q^{29} +(3.49805 + 6.05880i) q^{30} +(-7.10692 - 4.10318i) q^{31} -3.32510 q^{32} +(-5.81534 + 10.0725i) q^{33} +(-3.10332 - 9.87901i) q^{34} +6.07912 q^{35} +(2.44628 + 4.23708i) q^{36} +(0.467527 + 0.269927i) q^{37} +(-8.24731 + 14.2848i) q^{38} -3.93615i q^{39} +(6.87420 + 3.96882i) q^{40} -3.51693i q^{41} +22.6672 q^{42} +(4.98908 - 4.25548i) q^{43} +24.6340i q^{44} -1.55587i q^{45} +(8.94629 + 5.16514i) q^{46} -10.7488 q^{47} +(10.4594 + 6.03873i) q^{48} +(6.34810 - 10.9952i) q^{49} +(3.92253 + 6.79401i) q^{50} +(-1.82355 + 8.18439i) q^{51} +(-4.16842 - 7.21992i) q^{52} +(-2.08650 + 3.61392i) q^{53} +9.52108i q^{54} +(3.91689 - 6.78426i) q^{55} +(22.2723 - 12.8589i) q^{56} +(11.5673 - 6.67837i) q^{57} +(-4.02533 + 2.32403i) q^{58} -6.09785 q^{59} +(-5.99949 - 10.3914i) q^{60} +(1.58893 - 0.917368i) q^{61} +(17.8487 + 10.3049i) q^{62} +(-4.36561 - 2.52049i) q^{63} -3.52664 q^{64} +2.65118i q^{65} +(14.6049 - 25.2965i) q^{66} +(-7.10904 + 12.3132i) q^{67} +(5.32249 + 16.9434i) q^{68} +(-4.18255 - 7.24438i) q^{69} -15.2674 q^{70} +(-4.83502 + 2.79150i) q^{71} +(-3.29106 - 5.70028i) q^{72} +(-5.46456 + 3.15496i) q^{73} +(-1.17417 - 0.677908i) q^{74} -6.35264i q^{75} +(14.1449 - 24.4997i) q^{76} +(-12.6906 - 21.9808i) q^{77} +9.88544i q^{78} +(-11.6828 + 6.74508i) q^{79} +(-7.04487 - 4.06736i) q^{80} +(5.55870 - 9.62795i) q^{81} +8.83259i q^{82} +(-4.69845 + 8.13795i) q^{83} -38.8765 q^{84} +(1.22824 - 5.51255i) q^{85} +(-12.5298 + 10.6874i) q^{86} +3.76383 q^{87} -33.1409i q^{88} +(8.13518 - 14.0905i) q^{89} +3.90748i q^{90} +(7.43894 + 4.29487i) q^{91} +(-15.3437 - 8.85871i) q^{92} +(-8.34456 - 14.4532i) q^{93} +26.9951 q^{94} +(-7.79108 + 4.49818i) q^{95} +(-5.85622 - 3.38109i) q^{96} -18.8175i q^{97} +(-15.9429 + 27.6140i) q^{98} +(-5.62570 + 3.24800i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q - 4q^{2} + 116q^{4} - 12q^{8} + 70q^{9} + O(q^{10}) \) \( 128q - 4q^{2} + 116q^{4} - 12q^{8} + 70q^{9} + 4q^{13} - 12q^{15} + 76q^{16} + 2q^{17} - 16q^{18} - 2q^{19} - 20q^{21} + 60q^{25} - 2q^{26} - 28q^{30} - 48q^{32} + 22q^{33} - 18q^{34} - 112q^{35} + 36q^{36} - 40q^{38} + 36q^{42} + 10q^{43} + 36q^{47} + 52q^{49} + 16q^{50} + 10q^{51} + 10q^{52} + 24q^{55} - 12q^{59} - 78q^{60} + 36q^{64} + 14q^{66} + 10q^{67} - q^{68} - 64q^{70} - 68q^{72} - 22q^{76} - 28q^{77} - 20q^{81} - 6q^{83} + 32q^{84} + 6q^{85} - 58q^{86} + 32q^{87} + 36q^{89} + 6q^{93} + 132q^{94} - 48q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.51145 −1.77586 −0.887931 0.459976i \(-0.847858\pi\)
−0.887931 + 0.459976i \(0.847858\pi\)
\(3\) 1.76122 + 1.01684i 1.01684 + 0.587073i 0.913187 0.407540i \(-0.133613\pi\)
0.103653 + 0.994614i \(0.466947\pi\)
\(4\) 4.30737 2.15369
\(5\) −1.18626 0.684888i −0.530512 0.306291i 0.210713 0.977548i \(-0.432421\pi\)
−0.741225 + 0.671257i \(0.765755\pi\)
\(6\) −4.42321 2.55374i −1.80577 1.04256i
\(7\) −3.84346 + 2.21902i −1.45269 + 0.838711i −0.998633 0.0522621i \(-0.983357\pi\)
−0.454056 + 0.890973i \(0.650024\pi\)
\(8\) −5.79485 −2.04879
\(9\) 0.567928 + 0.983681i 0.189309 + 0.327894i
\(10\) 2.97923 + 1.72006i 0.942116 + 0.543931i
\(11\) 5.71903i 1.72435i 0.506608 + 0.862176i \(0.330899\pi\)
−0.506608 + 0.862176i \(0.669101\pi\)
\(12\) 7.58623 + 4.37991i 2.18996 + 1.26437i
\(13\) −0.967741 1.67618i −0.268403 0.464888i 0.700047 0.714097i \(-0.253163\pi\)
−0.968450 + 0.249210i \(0.919829\pi\)
\(14\) 9.65264 5.57296i 2.57978 1.48944i
\(15\) −1.39284 2.41247i −0.359630 0.622898i
\(16\) 5.93872 1.48468
\(17\) 1.23567 + 3.93359i 0.299694 + 0.954035i
\(18\) −1.42632 2.47046i −0.336187 0.582294i
\(19\) 3.28388 5.68786i 0.753375 1.30488i −0.192803 0.981237i \(-0.561758\pi\)
0.946178 0.323646i \(-0.104909\pi\)
\(20\) −5.10967 2.95007i −1.14256 0.659655i
\(21\) −9.02556 −1.96954
\(22\) 14.3631i 3.06221i
\(23\) −3.56220 2.05664i −0.742771 0.428839i 0.0803052 0.996770i \(-0.474410\pi\)
−0.823076 + 0.567932i \(0.807744\pi\)
\(24\) −10.2060 5.89244i −2.08329 1.20279i
\(25\) −1.56186 2.70522i −0.312372 0.541043i
\(26\) 2.43043 + 4.20963i 0.476647 + 0.825577i
\(27\) 3.79107i 0.729592i
\(28\) −16.5552 + 9.55815i −3.12864 + 1.80632i
\(29\) 1.60279 0.925373i 0.297631 0.171837i −0.343747 0.939062i \(-0.611696\pi\)
0.641378 + 0.767225i \(0.278363\pi\)
\(30\) 3.49805 + 6.05880i 0.638654 + 1.10618i
\(31\) −7.10692 4.10318i −1.27644 0.736953i −0.300248 0.953861i \(-0.597070\pi\)
−0.976192 + 0.216908i \(0.930403\pi\)
\(32\) −3.32510 −0.587800
\(33\) −5.81534 + 10.0725i −1.01232 + 1.75339i
\(34\) −3.10332 9.87901i −0.532215 1.69424i
\(35\) 6.07912 1.02756
\(36\) 2.44628 + 4.23708i 0.407713 + 0.706180i
\(37\) 0.467527 + 0.269927i 0.0768610 + 0.0443757i 0.537938 0.842984i \(-0.319203\pi\)
−0.461077 + 0.887360i \(0.652537\pi\)
\(38\) −8.24731 + 14.2848i −1.33789 + 2.31729i
\(39\) 3.93615i 0.630289i
\(40\) 6.87420 + 3.96882i 1.08691 + 0.627526i
\(41\) 3.51693i 0.549253i −0.961551 0.274626i \(-0.911446\pi\)
0.961551 0.274626i \(-0.0885541\pi\)
\(42\) 22.6672 3.49763
\(43\) 4.98908 4.25548i 0.760827 0.648955i
\(44\) 24.6340i 3.71372i
\(45\) 1.55587i 0.231935i
\(46\) 8.94629 + 5.16514i 1.31906 + 0.761559i
\(47\) −10.7488 −1.56788 −0.783939 0.620838i \(-0.786793\pi\)
−0.783939 + 0.620838i \(0.786793\pi\)
\(48\) 10.4594 + 6.03873i 1.50968 + 0.871616i
\(49\) 6.34810 10.9952i 0.906872 1.57075i
\(50\) 3.92253 + 6.79401i 0.554729 + 0.960819i
\(51\) −1.82355 + 8.18439i −0.255348 + 1.14604i
\(52\) −4.16842 7.21992i −0.578056 1.00122i
\(53\) −2.08650 + 3.61392i −0.286603 + 0.496411i −0.972997 0.230819i \(-0.925859\pi\)
0.686394 + 0.727230i \(0.259193\pi\)
\(54\) 9.52108i 1.29566i
\(55\) 3.91689 6.78426i 0.528154 0.914789i
\(56\) 22.2723 12.8589i 2.97626 1.71834i
\(57\) 11.5673 6.67837i 1.53212 0.884572i
\(58\) −4.02533 + 2.32403i −0.528552 + 0.305160i
\(59\) −6.09785 −0.793872 −0.396936 0.917846i \(-0.629927\pi\)
−0.396936 + 0.917846i \(0.629927\pi\)
\(60\) −5.99949 10.3914i −0.774531 1.34153i
\(61\) 1.58893 0.917368i 0.203441 0.117457i −0.394818 0.918759i \(-0.629192\pi\)
0.598260 + 0.801302i \(0.295859\pi\)
\(62\) 17.8487 + 10.3049i 2.26678 + 1.30873i
\(63\) −4.36561 2.52049i −0.550016 0.317552i
\(64\) −3.52664 −0.440830
\(65\) 2.65118i 0.328838i
\(66\) 14.6049 25.2965i 1.79774 3.11378i
\(67\) −7.10904 + 12.3132i −0.868508 + 1.50430i −0.00498622 + 0.999988i \(0.501587\pi\)
−0.863522 + 0.504312i \(0.831746\pi\)
\(68\) 5.32249 + 16.9434i 0.645447 + 2.05469i
\(69\) −4.18255 7.24438i −0.503519 0.872121i
\(70\) −15.2674 −1.82480
\(71\) −4.83502 + 2.79150i −0.573811 + 0.331290i −0.758670 0.651475i \(-0.774151\pi\)
0.184859 + 0.982765i \(0.440817\pi\)
\(72\) −3.29106 5.70028i −0.387855 0.671785i
\(73\) −5.46456 + 3.15496i −0.639578 + 0.369261i −0.784452 0.620190i \(-0.787056\pi\)
0.144874 + 0.989450i \(0.453722\pi\)
\(74\) −1.17417 0.677908i −0.136495 0.0788052i
\(75\) 6.35264i 0.733540i
\(76\) 14.1449 24.4997i 1.62253 2.81031i
\(77\) −12.6906 21.9808i −1.44623 2.50495i
\(78\) 9.88544i 1.11931i
\(79\) −11.6828 + 6.74508i −1.31442 + 0.758880i −0.982825 0.184541i \(-0.940920\pi\)
−0.331595 + 0.943422i \(0.607587\pi\)
\(80\) −7.04487 4.06736i −0.787641 0.454744i
\(81\) 5.55870 9.62795i 0.617633 1.06977i
\(82\) 8.83259i 0.975397i
\(83\) −4.69845 + 8.13795i −0.515722 + 0.893257i 0.484112 + 0.875006i \(0.339143\pi\)
−0.999833 + 0.0182503i \(0.994190\pi\)
\(84\) −38.8765 −4.24177
\(85\) 1.22824 5.51255i 0.133221 0.597920i
\(86\) −12.5298 + 10.6874i −1.35112 + 1.15245i
\(87\) 3.76383 0.403525
\(88\) 33.1409i 3.53284i
\(89\) 8.13518 14.0905i 0.862327 1.49359i −0.00734982 0.999973i \(-0.502340\pi\)
0.869677 0.493621i \(-0.164327\pi\)
\(90\) 3.90748i 0.411885i
\(91\) 7.43894 + 4.29487i 0.779813 + 0.450225i
\(92\) −15.3437 8.85871i −1.59970 0.923585i
\(93\) −8.34456 14.4532i −0.865291 1.49873i
\(94\) 26.9951 2.78434
\(95\) −7.79108 + 4.49818i −0.799348 + 0.461504i
\(96\) −5.85622 3.38109i −0.597698 0.345081i
\(97\) 18.8175i 1.91063i −0.295585 0.955316i \(-0.595515\pi\)
0.295585 0.955316i \(-0.404485\pi\)
\(98\) −15.9429 + 27.6140i −1.61048 + 2.78943i
\(99\) −5.62570 + 3.24800i −0.565404 + 0.326436i
\(100\) −6.72751 11.6524i −0.672751 1.16524i
\(101\) −0.223258 0.386694i −0.0222150 0.0384775i 0.854704 0.519115i \(-0.173739\pi\)
−0.876919 + 0.480638i \(0.840405\pi\)
\(102\) 4.57974 20.5547i 0.453462 2.03522i
\(103\) −1.22446 2.12083i −0.120650 0.208971i 0.799374 0.600833i \(-0.205164\pi\)
−0.920024 + 0.391862i \(0.871831\pi\)
\(104\) 5.60792 + 9.71319i 0.549901 + 0.952457i
\(105\) 10.7067 + 6.18149i 1.04486 + 0.603252i
\(106\) 5.24014 9.07619i 0.508967 0.881557i
\(107\) 4.76103i 0.460266i 0.973159 + 0.230133i \(0.0739161\pi\)
−0.973159 + 0.230133i \(0.926084\pi\)
\(108\) 16.3296i 1.57131i
\(109\) 9.19461 + 5.30851i 0.880684 + 0.508463i 0.870884 0.491489i \(-0.163547\pi\)
0.00980034 + 0.999952i \(0.496880\pi\)
\(110\) −9.83708 + 17.0383i −0.937928 + 1.62454i
\(111\) 0.548945 + 0.950801i 0.0521036 + 0.0902460i
\(112\) −22.8252 + 13.1781i −2.15678 + 1.24522i
\(113\) 10.9962i 1.03443i 0.855854 + 0.517217i \(0.173032\pi\)
−0.855854 + 0.517217i \(0.826968\pi\)
\(114\) −29.0506 + 16.7724i −2.72084 + 1.57088i
\(115\) 2.81713 + 4.87942i 0.262699 + 0.455008i
\(116\) 6.90383 3.98593i 0.641004 0.370084i
\(117\) 1.09921 1.90390i 0.101622 0.176015i
\(118\) 15.3144 1.40981
\(119\) −13.4780 12.3766i −1.23552 1.13456i
\(120\) 8.07132 + 13.9799i 0.736807 + 1.27619i
\(121\) −21.7073 −1.97339
\(122\) −3.99051 + 2.30392i −0.361284 + 0.208587i
\(123\) 3.57616 6.19409i 0.322451 0.558502i
\(124\) −30.6122 17.6739i −2.74905 1.58717i
\(125\) 11.1277i 0.995289i
\(126\) 10.9640 + 6.33008i 0.976752 + 0.563928i
\(127\) −4.14740 −0.368022 −0.184011 0.982924i \(-0.558908\pi\)
−0.184011 + 0.982924i \(0.558908\pi\)
\(128\) 15.5072 1.37065
\(129\) 13.1140 2.42174i 1.15462 0.213222i
\(130\) 6.65829i 0.583971i
\(131\) 5.10448i 0.445981i −0.974821 0.222990i \(-0.928418\pi\)
0.974821 0.222990i \(-0.0715819\pi\)
\(132\) −25.0489 + 43.3859i −2.18022 + 3.77626i
\(133\) 29.1480i 2.52745i
\(134\) 17.8540 30.9240i 1.54235 2.67143i
\(135\) −2.59646 + 4.49720i −0.223468 + 0.387057i
\(136\) −7.16052 22.7946i −0.614010 1.95462i
\(137\) −8.15290 −0.696549 −0.348275 0.937393i \(-0.613232\pi\)
−0.348275 + 0.937393i \(0.613232\pi\)
\(138\) 10.5042 + 18.1939i 0.894181 + 1.54877i
\(139\) 11.7337 + 6.77447i 0.995242 + 0.574603i 0.906837 0.421482i \(-0.138490\pi\)
0.0884048 + 0.996085i \(0.471823\pi\)
\(140\) 26.1850 2.21304
\(141\) −18.9310 10.9298i −1.59428 0.920459i
\(142\) 12.1429 7.01071i 1.01901 0.588325i
\(143\) 9.58611 5.53454i 0.801630 0.462822i
\(144\) 3.37277 + 5.84181i 0.281064 + 0.486817i
\(145\) −2.53511 −0.210529
\(146\) 13.7240 7.92353i 1.13580 0.655756i
\(147\) 22.3608 12.9100i 1.84429 1.06480i
\(148\) 2.01381 + 1.16268i 0.165535 + 0.0955714i
\(149\) 0.586861 1.01647i 0.0480775 0.0832727i −0.840985 0.541058i \(-0.818024\pi\)
0.889063 + 0.457785i \(0.151357\pi\)
\(150\) 15.9543i 1.30267i
\(151\) 4.37075 0.355687 0.177843 0.984059i \(-0.443088\pi\)
0.177843 + 0.984059i \(0.443088\pi\)
\(152\) −19.0296 + 32.9603i −1.54351 + 2.67343i
\(153\) −3.16762 + 3.44950i −0.256087 + 0.278876i
\(154\) 31.8719 + 55.2038i 2.56831 + 4.44845i
\(155\) 5.62044 + 9.73488i 0.451444 + 0.781924i
\(156\) 16.9545i 1.35744i
\(157\) 4.38370 + 7.59279i 0.349857 + 0.605971i 0.986224 0.165416i \(-0.0528967\pi\)
−0.636367 + 0.771387i \(0.719563\pi\)
\(158\) 29.3408 16.9399i 2.33423 1.34767i
\(159\) −7.34957 + 4.24328i −0.582859 + 0.336514i
\(160\) 3.94443 + 2.27732i 0.311835 + 0.180038i
\(161\) 18.2549 1.43869
\(162\) −13.9604 + 24.1801i −1.09683 + 1.89977i
\(163\) −3.58760 + 2.07130i −0.281003 + 0.162237i −0.633877 0.773434i \(-0.718538\pi\)
0.352875 + 0.935671i \(0.385204\pi\)
\(164\) 15.1487i 1.18292i
\(165\) 13.7970 7.96571i 1.07410 0.620130i
\(166\) 11.7999 20.4381i 0.915851 1.58630i
\(167\) −2.80154 1.61747i −0.216790 0.125164i 0.387673 0.921797i \(-0.373279\pi\)
−0.604463 + 0.796633i \(0.706612\pi\)
\(168\) 52.3018 4.03517
\(169\) 4.62696 8.01412i 0.355920 0.616471i
\(170\) −3.08466 + 13.8445i −0.236583 + 1.06182i
\(171\) 7.46004 0.570484
\(172\) 21.4898 18.3300i 1.63858 1.39765i
\(173\) 7.13873i 0.542748i −0.962474 0.271374i \(-0.912522\pi\)
0.962474 0.271374i \(-0.0874780\pi\)
\(174\) −9.45266 −0.716604
\(175\) 12.0059 + 6.93159i 0.907558 + 0.523979i
\(176\) 33.9637i 2.56011i
\(177\) −10.7396 6.20054i −0.807241 0.466061i
\(178\) −20.4311 + 35.3877i −1.53137 + 2.65242i
\(179\) 2.57082 + 4.45279i 0.192152 + 0.332817i 0.945963 0.324274i \(-0.105120\pi\)
−0.753811 + 0.657091i \(0.771787\pi\)
\(180\) 6.70171i 0.499516i
\(181\) 11.0474 6.37822i 0.821147 0.474089i −0.0296649 0.999560i \(-0.509444\pi\)
0.850812 + 0.525470i \(0.176111\pi\)
\(182\) −18.6825 10.7864i −1.38484 0.799538i
\(183\) 3.73127 0.275823
\(184\) 20.6424 + 11.9179i 1.52178 + 0.878600i
\(185\) −0.369739 0.640407i −0.0271838 0.0470837i
\(186\) 20.9569 + 36.2985i 1.53664 + 2.66153i
\(187\) −22.4963 + 7.06683i −1.64509 + 0.516778i
\(188\) −46.2992 −3.37672
\(189\) 8.41247 + 14.5708i 0.611917 + 1.05987i
\(190\) 19.5669 11.2970i 1.41953 0.819567i
\(191\) 2.78150 4.81770i 0.201262 0.348597i −0.747673 0.664067i \(-0.768829\pi\)
0.948935 + 0.315470i \(0.102162\pi\)
\(192\) −6.21118 3.58603i −0.448254 0.258799i
\(193\) 0.578350i 0.0416306i −0.999783 0.0208153i \(-0.993374\pi\)
0.999783 0.0208153i \(-0.00662619\pi\)
\(194\) 47.2593i 3.39302i
\(195\) −2.69582 + 4.66930i −0.193052 + 0.334376i
\(196\) 27.3437 47.3606i 1.95312 3.38290i
\(197\) −5.49896 + 3.17483i −0.391785 + 0.226197i −0.682933 0.730481i \(-0.739296\pi\)
0.291148 + 0.956678i \(0.405963\pi\)
\(198\) 14.1287 8.15718i 1.00408 0.579706i
\(199\) 10.0023i 0.709042i −0.935048 0.354521i \(-0.884644\pi\)
0.935048 0.354521i \(-0.115356\pi\)
\(200\) 9.05074 + 15.6763i 0.639984 + 1.10848i
\(201\) −25.0412 + 14.4575i −1.76627 + 1.01975i
\(202\) 0.560701 + 0.971163i 0.0394508 + 0.0683308i
\(203\) −4.10684 + 7.11326i −0.288244 + 0.499253i
\(204\) −7.85470 + 35.2532i −0.549939 + 2.46822i
\(205\) −2.40870 + 4.17200i −0.168231 + 0.291385i
\(206\) 3.07517 + 5.32635i 0.214257 + 0.371104i
\(207\) 4.67209i 0.324733i
\(208\) −5.74715 9.95435i −0.398493 0.690210i
\(209\) 32.5290 + 18.7806i 2.25008 + 1.29908i
\(210\) −26.8892 15.5245i −1.85553 1.07129i
\(211\) 13.1262i 0.903642i 0.892109 + 0.451821i \(0.149225\pi\)
−0.892109 + 0.451821i \(0.850775\pi\)
\(212\) −8.98734 + 15.5665i −0.617253 + 1.06911i
\(213\) −11.3540 −0.777966
\(214\) 11.9571i 0.817369i
\(215\) −8.83287 + 1.63115i −0.602397 + 0.111244i
\(216\) 21.9687i 1.49478i
\(217\) 36.4202 2.47236
\(218\) −23.0918 13.3321i −1.56397 0.902961i
\(219\) −12.8324 −0.867132
\(220\) 16.8715 29.2223i 1.13748 1.97017i
\(221\) 5.39758 5.87790i 0.363081 0.395390i
\(222\) −1.37865 2.38789i −0.0925288 0.160265i
\(223\) −13.2886 −0.889872 −0.444936 0.895562i \(-0.646774\pi\)
−0.444936 + 0.895562i \(0.646774\pi\)
\(224\) 12.7799 7.37846i 0.853890 0.492994i
\(225\) 1.77405 3.07274i 0.118270 0.204849i
\(226\) 27.6163i 1.83701i
\(227\) 3.39154 + 1.95811i 0.225105 + 0.129964i 0.608312 0.793698i \(-0.291847\pi\)
−0.383207 + 0.923662i \(0.625180\pi\)
\(228\) 49.8246 28.7662i 3.29971 1.90509i
\(229\) 2.79328 + 4.83811i 0.184585 + 0.319711i 0.943437 0.331553i \(-0.107572\pi\)
−0.758851 + 0.651264i \(0.774239\pi\)
\(230\) −7.07508 12.2544i −0.466517 0.808031i
\(231\) 51.6174i 3.39618i
\(232\) −9.28795 + 5.36240i −0.609784 + 0.352059i
\(233\) −9.70656 + 5.60409i −0.635898 + 0.367136i −0.783033 0.621981i \(-0.786328\pi\)
0.147135 + 0.989116i \(0.452995\pi\)
\(234\) −2.76062 + 4.78154i −0.180467 + 0.312579i
\(235\) 12.7509 + 7.36174i 0.831778 + 0.480227i
\(236\) −26.2657 −1.70975
\(237\) −27.4347 −1.78207
\(238\) 33.8492 + 31.0832i 2.19412 + 2.01482i
\(239\) −13.4872 + 23.3605i −0.872413 + 1.51106i −0.0129202 + 0.999917i \(0.504113\pi\)
−0.859493 + 0.511148i \(0.829221\pi\)
\(240\) −8.27171 14.3270i −0.533936 0.924805i
\(241\) 5.97009 3.44683i 0.384567 0.222030i −0.295236 0.955424i \(-0.595398\pi\)
0.679804 + 0.733394i \(0.262065\pi\)
\(242\) 54.5168 3.50447
\(243\) 9.73068 5.61801i 0.624223 0.360396i
\(244\) 6.84411 3.95145i 0.438149 0.252965i
\(245\) −15.0610 + 8.69547i −0.962212 + 0.555533i
\(246\) −8.98134 + 15.5561i −0.572629 + 0.991823i
\(247\) −12.7118 −0.808832
\(248\) 41.1835 + 23.7773i 2.61516 + 1.50986i
\(249\) −16.5500 + 9.55515i −1.04881 + 0.605533i
\(250\) 27.9466i 1.76750i
\(251\) −12.1298 21.0095i −0.765629 1.32611i −0.939913 0.341413i \(-0.889094\pi\)
0.174284 0.984695i \(-0.444239\pi\)
\(252\) −18.8043 10.8567i −1.18456 0.683907i
\(253\) 11.7620 20.3723i 0.739469 1.28080i
\(254\) 10.4160 0.653556
\(255\) 7.76859 8.45989i 0.486488 0.529779i
\(256\) −31.8922 −1.99326
\(257\) 1.53014 0.0954475 0.0477237 0.998861i \(-0.484803\pi\)
0.0477237 + 0.998861i \(0.484803\pi\)
\(258\) −32.9351 + 6.08208i −2.05045 + 0.378654i
\(259\) −2.39589 −0.148874
\(260\) 11.4196i 0.708214i
\(261\) 1.82054 + 1.05109i 0.112689 + 0.0650609i
\(262\) 12.8196i 0.792001i
\(263\) 6.75217 11.6951i 0.416357 0.721151i −0.579213 0.815176i \(-0.696640\pi\)
0.995570 + 0.0940254i \(0.0299735\pi\)
\(264\) 33.6990 58.3684i 2.07403 3.59233i
\(265\) 4.95026 2.85804i 0.304092 0.175568i
\(266\) 73.2038i 4.48841i
\(267\) 28.6557 16.5444i 1.75370 1.01250i
\(268\) −30.6213 + 53.0377i −1.87049 + 3.23979i
\(269\) 9.71634i 0.592416i 0.955124 + 0.296208i \(0.0957221\pi\)
−0.955124 + 0.296208i \(0.904278\pi\)
\(270\) 6.52087 11.2945i 0.396848 0.687360i
\(271\) 14.0264 + 24.2944i 0.852042 + 1.47578i 0.879363 + 0.476153i \(0.157969\pi\)
−0.0273211 + 0.999627i \(0.508698\pi\)
\(272\) 7.33830 + 23.3605i 0.444950 + 1.41644i
\(273\) 8.73440 + 15.1284i 0.528630 + 0.915614i
\(274\) 20.4756 1.23698
\(275\) 15.4712 8.93231i 0.932950 0.538639i
\(276\) −18.0158 31.2043i −1.08442 1.87828i
\(277\) −19.5223 11.2712i −1.17298 0.677222i −0.218601 0.975814i \(-0.570149\pi\)
−0.954381 + 0.298593i \(0.903483\pi\)
\(278\) −29.4687 17.0137i −1.76741 1.02042i
\(279\) 9.32125i 0.558049i
\(280\) −35.2276 −2.10525
\(281\) −7.71795 + 13.3679i −0.460414 + 0.797461i −0.998981 0.0451218i \(-0.985632\pi\)
0.538567 + 0.842582i \(0.318966\pi\)
\(282\) 47.5444 + 27.4497i 2.83123 + 1.63461i
\(283\) −25.7997 + 14.8955i −1.53364 + 0.885445i −0.534446 + 0.845203i \(0.679480\pi\)
−0.999190 + 0.0402423i \(0.987187\pi\)
\(284\) −20.8262 + 12.0240i −1.23581 + 0.713495i
\(285\) −18.2957 −1.08375
\(286\) −24.0750 + 13.8997i −1.42359 + 0.821907i
\(287\) 7.80414 + 13.5172i 0.460664 + 0.797894i
\(288\) −1.88842 3.27083i −0.111276 0.192736i
\(289\) −13.9462 + 9.72123i −0.820367 + 0.571837i
\(290\) 6.36679 0.373871
\(291\) 19.1344 33.1418i 1.12168 1.94281i
\(292\) −23.5379 + 13.5896i −1.37745 + 0.795272i
\(293\) −14.1121 −0.824440 −0.412220 0.911084i \(-0.635247\pi\)
−0.412220 + 0.911084i \(0.635247\pi\)
\(294\) −56.1580 + 32.4228i −3.27520 + 1.89094i
\(295\) 7.23363 + 4.17634i 0.421158 + 0.243156i
\(296\) −2.70925 1.56419i −0.157472 0.0909165i
\(297\) 21.6813 1.25807
\(298\) −1.47387 + 2.55282i −0.0853791 + 0.147881i
\(299\) 7.96117i 0.460407i
\(300\) 27.3632i 1.57982i
\(301\) −9.73229 + 27.4266i −0.560960 + 1.58084i
\(302\) −10.9769 −0.631650
\(303\) 0.908071i 0.0521673i
\(304\) 19.5021 33.7786i 1.11852 1.93734i
\(305\) −2.51318 −0.143904
\(306\) 7.95532 8.66324i 0.454776 0.495245i
\(307\) 8.07909 13.9934i 0.461098 0.798646i −0.537918 0.842997i \(-0.680789\pi\)
0.999016 + 0.0443517i \(0.0141222\pi\)
\(308\) −54.6634 94.6797i −3.11473 5.39488i
\(309\) 4.98032i 0.283320i
\(310\) −14.1154 24.4487i −0.801703 1.38859i
\(311\) −15.8950 9.17695i −0.901320 0.520377i −0.0236918 0.999719i \(-0.507542\pi\)
−0.877628 + 0.479342i \(0.840875\pi\)
\(312\) 22.8094i 1.29133i
\(313\) 2.33614 + 1.34877i 0.132046 + 0.0762370i 0.564568 0.825387i \(-0.309043\pi\)
−0.432522 + 0.901624i \(0.642376\pi\)
\(314\) −11.0094 19.0689i −0.621298 1.07612i
\(315\) 3.45250 + 5.97991i 0.194527 + 0.336930i
\(316\) −50.3223 + 29.0536i −2.83085 + 1.63439i
\(317\) 14.9707i 0.840835i 0.907331 + 0.420418i \(0.138116\pi\)
−0.907331 + 0.420418i \(0.861884\pi\)
\(318\) 18.4581 10.6568i 1.03508 0.597602i
\(319\) 5.29224 + 9.16642i 0.296308 + 0.513221i
\(320\) 4.18351 + 2.41535i 0.233865 + 0.135022i
\(321\) −4.84121 + 8.38521i −0.270210 + 0.468017i
\(322\) −45.8462 −2.55491
\(323\) 26.4315 + 5.88914i 1.47069 + 0.327681i
\(324\) 23.9434 41.4712i 1.33019 2.30395i
\(325\) −3.02295 + 5.23590i −0.167683 + 0.290435i
\(326\) 9.01007 5.20197i 0.499022 0.288110i
\(327\) 10.7958 + 18.6989i 0.597010 + 1.03405i
\(328\) 20.3801i 1.12530i
\(329\) 41.3127 23.8519i 2.27764 1.31500i
\(330\) −34.6505 + 20.0055i −1.90745 + 1.10126i
\(331\) 2.62803 + 4.55188i 0.144449 + 0.250194i 0.929167 0.369659i \(-0.120526\pi\)
−0.784718 + 0.619853i \(0.787192\pi\)
\(332\) −20.2380 + 35.0532i −1.11070 + 1.92380i
\(333\) 0.613196i 0.0336030i
\(334\) 7.03593 + 4.06219i 0.384989 + 0.222273i
\(335\) 16.8663 9.73779i 0.921507 0.532032i
\(336\) −53.6003 −2.92414
\(337\) 19.8729 11.4736i 1.08255 0.625008i 0.150964 0.988539i \(-0.451762\pi\)
0.931582 + 0.363531i \(0.118429\pi\)
\(338\) −11.6204 + 20.1271i −0.632064 + 1.09477i
\(339\) −11.1814 + 19.3667i −0.607288 + 1.05185i
\(340\) 5.29049 23.7446i 0.286917 1.28773i
\(341\) 23.4662 40.6447i 1.27077 2.20103i
\(342\) −18.7355 −1.01310
\(343\) 25.2800i 1.36499i
\(344\) −28.9110 + 24.6599i −1.55877 + 1.32957i
\(345\) 11.4583i 0.616894i
\(346\) 17.9286i 0.963846i
\(347\) 12.0411 + 6.95194i 0.646401 + 0.373200i 0.787076 0.616856i \(-0.211594\pi\)
−0.140675 + 0.990056i \(0.544927\pi\)
\(348\) 16.2122 0.869066
\(349\) −14.8500 + 25.7210i −0.794905 + 1.37682i 0.127995 + 0.991775i \(0.459146\pi\)
−0.922900 + 0.385041i \(0.874187\pi\)
\(350\) −30.1521 17.4083i −1.61170 0.930514i
\(351\) −6.35451 + 3.66878i −0.339178 + 0.195825i
\(352\) 19.0163i 1.01357i
\(353\) 2.32936 + 4.03456i 0.123979 + 0.214738i 0.921333 0.388773i \(-0.127101\pi\)
−0.797354 + 0.603511i \(0.793768\pi\)
\(354\) 26.9721 + 15.5723i 1.43355 + 0.827660i
\(355\) 7.64745 0.405885
\(356\) 35.0413 60.6932i 1.85718 3.21673i
\(357\) −11.1526 35.5028i −0.590259 1.87901i
\(358\) −6.45649 11.1830i −0.341236 0.591038i
\(359\) 1.62902 + 2.82155i 0.0859766 + 0.148916i 0.905807 0.423691i \(-0.139266\pi\)
−0.819830 + 0.572606i \(0.805932\pi\)
\(360\) 9.01603i 0.475186i
\(361\) −12.0678 20.9020i −0.635147 1.10011i
\(362\) −27.7450 + 16.0186i −1.45824 + 0.841918i
\(363\) −38.2313 22.0729i −2.00662 1.15853i
\(364\) 32.0423 + 18.4996i 1.67947 + 0.969644i
\(365\) 8.64318 0.452405
\(366\) −9.37088 −0.489824
\(367\) −20.2158 11.6716i −1.05526 0.609253i −0.131141 0.991364i \(-0.541864\pi\)
−0.924117 + 0.382111i \(0.875197\pi\)
\(368\) −21.1549 12.2138i −1.10278 0.636689i
\(369\) 3.45954 1.99737i 0.180096 0.103979i
\(370\) 0.928581 + 1.60835i 0.0482746 + 0.0836141i
\(371\) 18.5199i 0.961508i
\(372\) −35.9431 62.2554i −1.86357 3.22779i
\(373\) −1.92466 3.33361i −0.0996550 0.172608i 0.811887 0.583815i \(-0.198441\pi\)
−0.911542 + 0.411207i \(0.865107\pi\)
\(374\) 56.4983 17.7480i 2.92146 0.917727i
\(375\) −11.3151 + 19.5983i −0.584307 + 1.01205i
\(376\) 62.2879 3.21225
\(377\) −3.10218 1.79104i −0.159770 0.0922434i
\(378\) −21.1275 36.5939i −1.08668 1.88219i
\(379\) 0.0120364i 0.000618270i 1.00000 0.000309135i \(9.84007e-5\pi\)
−1.00000 0.000309135i \(0.999902\pi\)
\(380\) −33.5591 + 19.3754i −1.72155 + 0.993935i
\(381\) −7.30447 4.21724i −0.374220 0.216056i
\(382\) −6.98560 + 12.0994i −0.357414 + 0.619060i
\(383\) 34.3781 1.75664 0.878320 0.478073i \(-0.158665\pi\)
0.878320 + 0.478073i \(0.158665\pi\)
\(384\) 27.3115 + 15.7683i 1.39373 + 0.804673i
\(385\) 34.7667i 1.77187i
\(386\) 1.45250i 0.0739302i
\(387\) 7.01947 + 2.49085i 0.356820 + 0.126617i
\(388\) 81.0542i 4.11490i
\(389\) 22.0169 1.11630 0.558150 0.829740i \(-0.311512\pi\)
0.558150 + 0.829740i \(0.311512\pi\)
\(390\) 6.77042 11.7267i 0.342833 0.593805i
\(391\) 3.68826 16.5536i 0.186524 0.837150i
\(392\) −36.7863 + 63.7158i −1.85799 + 3.21813i
\(393\) 5.19044 8.99011i 0.261823 0.453491i
\(394\) 13.8104 7.97341i 0.695756 0.401695i
\(395\) 18.4785 0.929753
\(396\) −24.2320 + 13.9903i −1.21770 + 0.703042i
\(397\) 17.7075 + 10.2234i 0.888715 + 0.513100i 0.873522 0.486785i \(-0.161830\pi\)
0.0151930 + 0.999885i \(0.495164\pi\)
\(398\) 25.1202i 1.25916i
\(399\) −29.6389 + 51.3361i −1.48380 + 2.57002i
\(400\) −9.27544 16.0655i −0.463772 0.803277i
\(401\) −1.42805 + 0.824485i −0.0713134 + 0.0411728i −0.535233 0.844705i \(-0.679776\pi\)
0.463919 + 0.885877i \(0.346443\pi\)
\(402\) 62.8896 36.3093i 3.13665 1.81094i
\(403\) 15.8833i 0.791202i
\(404\) −0.961656 1.66564i −0.0478442 0.0828686i
\(405\) −13.1881 + 7.61417i −0.655323 + 0.378351i
\(406\) 10.3141 17.8646i 0.511881 0.886605i
\(407\) −1.54372 + 2.67380i −0.0765194 + 0.132535i
\(408\) 10.5672 47.4273i 0.523153 2.34800i
\(409\) −30.2220 −1.49438 −0.747191 0.664609i \(-0.768598\pi\)
−0.747191 + 0.664609i \(0.768598\pi\)
\(410\) 6.04933 10.4778i 0.298755 0.517459i
\(411\) −14.3590 8.29020i −0.708280 0.408925i
\(412\) −5.27421 9.13519i −0.259841 0.450059i
\(413\) 23.4368 13.5312i 1.15325 0.665829i
\(414\) 11.7337i 0.576681i
\(415\) 11.1472 6.43582i 0.547193 0.315922i
\(416\) 3.21783 + 5.57345i 0.157767 + 0.273261i
\(417\) 13.7771 + 23.8627i 0.674668 + 1.16856i
\(418\) −81.6950 47.1666i −3.99583 2.30699i
\(419\) 4.37648i 0.213805i −0.994270 0.106902i \(-0.965907\pi\)
0.994270 0.106902i \(-0.0340933\pi\)
\(420\) 46.1176 + 26.6260i 2.25031 + 1.29922i
\(421\) 4.11951 + 7.13520i 0.200773 + 0.347749i 0.948778 0.315945i \(-0.102321\pi\)
−0.748005 + 0.663693i \(0.768988\pi\)
\(422\) 32.9657i 1.60474i
\(423\) −6.10457 10.5734i −0.296814 0.514097i
\(424\) 12.0910 20.9422i 0.587189 1.01704i
\(425\) 8.71127 9.48646i 0.422559 0.460161i
\(426\) 28.5151 1.38156
\(427\) −4.07132 + 7.05173i −0.197025 + 0.341257i
\(428\) 20.5075i 0.991269i
\(429\) 22.5110 1.08684
\(430\) 22.1833 4.09655i 1.06977 0.197553i
\(431\) 15.6456i 0.753621i −0.926290 0.376810i \(-0.877021\pi\)
0.926290 0.376810i \(-0.122979\pi\)
\(432\) 22.5141i 1.08321i
\(433\) −14.9478 + 25.8904i −0.718347 + 1.24421i 0.243307 + 0.969949i \(0.421768\pi\)
−0.961654 + 0.274265i \(0.911566\pi\)
\(434\) −91.4674 −4.39058
\(435\) −4.46488 2.57780i −0.214074 0.123596i
\(436\) 39.6046 + 22.8658i 1.89672 + 1.09507i
\(437\) −23.3957 + 13.5075i −1.11917 + 0.646153i
\(438\) 32.2279 1.53991
\(439\) 8.11746 4.68662i 0.387425 0.223680i −0.293619 0.955923i \(-0.594860\pi\)
0.681044 + 0.732242i \(0.261526\pi\)
\(440\) −22.6978 + 39.3138i −1.08208 + 1.87421i
\(441\) 14.4211 0.686718
\(442\) −13.5557 + 14.7620i −0.644781 + 0.702158i
\(443\) 0.638830 + 1.10649i 0.0303517 + 0.0525707i 0.880802 0.473484i \(-0.157004\pi\)
−0.850451 + 0.526055i \(0.823671\pi\)
\(444\) 2.36451 + 4.09545i 0.112215 + 0.194362i
\(445\) −19.3009 + 11.1434i −0.914949 + 0.528246i
\(446\) 33.3737 1.58029
\(447\) 2.06718 1.19349i 0.0977743 0.0564500i
\(448\) 13.5545 7.82568i 0.640389 0.369729i
\(449\) −18.8811 10.9010i −0.891057 0.514452i −0.0167686 0.999859i \(-0.505338\pi\)
−0.874288 + 0.485408i \(0.838671\pi\)
\(450\) −4.45543 + 7.71703i −0.210031 + 0.363784i
\(451\) 20.1134 0.947105
\(452\) 47.3647i 2.22785i
\(453\) 7.69785 + 4.44436i 0.361676 + 0.208814i
\(454\) −8.51768 4.91769i −0.399755 0.230798i
\(455\) −5.88301 10.1897i −0.275800 0.477699i
\(456\) −67.0307 + 38.7002i −3.13900 + 1.81230i
\(457\) −27.1570 −1.27035 −0.635175 0.772368i \(-0.719072\pi\)
−0.635175 + 0.772368i \(0.719072\pi\)
\(458\) −7.01519 12.1507i −0.327798 0.567763i
\(459\) 14.9125 4.68451i 0.696057 0.218654i
\(460\) 12.1344 + 21.0175i 0.565771 + 0.979945i
\(461\) −0.901498 + 1.56144i −0.0419869 + 0.0727235i −0.886255 0.463197i \(-0.846702\pi\)
0.844268 + 0.535921i \(0.180035\pi\)
\(462\) 129.635i 6.03115i
\(463\) −14.8320 + 25.6897i −0.689301 + 1.19390i 0.282764 + 0.959190i \(0.408749\pi\)
−0.972064 + 0.234714i \(0.924585\pi\)
\(464\) 9.51855 5.49553i 0.441887 0.255124i
\(465\) 22.8603i 1.06012i
\(466\) 24.3775 14.0744i 1.12927 0.651983i
\(467\) −10.2978 + 17.8363i −0.476524 + 0.825363i −0.999638 0.0268992i \(-0.991437\pi\)
0.523114 + 0.852262i \(0.324770\pi\)
\(468\) 4.73473 8.20079i 0.218863 0.379082i
\(469\) 63.1004i 2.91371i
\(470\) −32.0233 18.4886i −1.47712 0.852817i
\(471\) 17.8301i 0.821567i
\(472\) 35.3361 1.62648
\(473\) 24.3372 + 28.5327i 1.11903 + 1.31193i
\(474\) 68.9008 3.16472
\(475\) −20.5158 −0.941332
\(476\) −58.0546 53.3106i −2.66093 2.44349i
\(477\) −4.73993 −0.217027
\(478\) 33.8724 58.6687i 1.54929 2.68344i
\(479\) −19.3025 11.1443i −0.881952 0.509195i −0.0106505 0.999943i \(-0.503390\pi\)
−0.871302 + 0.490748i \(0.836724\pi\)
\(480\) 4.63134 + 8.02171i 0.211391 + 0.366139i
\(481\) 1.04488i 0.0476423i
\(482\) −14.9936 + 8.65654i −0.682939 + 0.394295i
\(483\) 32.1509 + 18.5623i 1.46291 + 0.844614i
\(484\) −93.5015 −4.25007
\(485\) −12.8879 + 22.3225i −0.585210 + 1.01361i
\(486\) −24.4381 + 14.1093i −1.10853 + 0.640013i
\(487\) 19.8836 11.4798i 0.901010 0.520198i 0.0234821 0.999724i \(-0.492525\pi\)
0.877528 + 0.479526i \(0.159191\pi\)
\(488\) −9.20760 + 5.31601i −0.416808 + 0.240644i
\(489\) −8.42473 −0.380980
\(490\) 37.8249 21.8382i 1.70876 0.986551i
\(491\) −3.40750 5.90197i −0.153778 0.266352i 0.778835 0.627229i \(-0.215811\pi\)
−0.932614 + 0.360877i \(0.882478\pi\)
\(492\) 15.4039 26.6803i 0.694459 1.20284i
\(493\) 5.62056 + 5.16127i 0.253137 + 0.232452i
\(494\) 31.9250 1.43637
\(495\) 8.89806 0.399938
\(496\) −42.2060 24.3677i −1.89511 1.09414i
\(497\) 12.3888 21.4580i 0.555713 0.962523i
\(498\) 41.5645 23.9973i 1.86255 1.07534i
\(499\) −5.83929 + 3.37132i −0.261403 + 0.150921i −0.624974 0.780645i \(-0.714891\pi\)
0.363572 + 0.931566i \(0.381557\pi\)
\(500\) 47.9310i 2.14354i
\(501\) −3.28942 5.69744i −0.146960 0.254543i
\(502\) 30.4635 + 52.7643i 1.35965 + 2.35499i
\(503\) −13.2162 + 7.63037i −0.589281 + 0.340221i −0.764813 0.644252i \(-0.777169\pi\)
0.175532 + 0.984474i \(0.443835\pi\)
\(504\) 25.2981 + 14.6059i 1.12687 + 0.650597i
\(505\) 0.611627i 0.0272170i
\(506\) −29.5396 + 51.1641i −1.31320 + 2.27452i
\(507\) 16.2982 9.40975i 0.723827 0.417902i
\(508\) −17.8644 −0.792604
\(509\) −5.14392 8.90953i −0.228000 0.394908i 0.729215 0.684285i \(-0.239885\pi\)
−0.957215 + 0.289376i \(0.906552\pi\)
\(510\) −19.5104 + 21.2466i −0.863935 + 0.940814i
\(511\) 14.0019 24.2519i 0.619406 1.07284i
\(512\) 49.0812 2.16910
\(513\) −21.5631 12.4494i −0.952033 0.549656i
\(514\) −3.84287 −0.169502
\(515\) 3.35447i 0.147816i
\(516\) 56.4869 10.4313i 2.48670 0.459214i
\(517\) 61.4729i 2.70358i
\(518\) 6.01716 0.264379
\(519\) 7.25895 12.5729i 0.318633 0.551888i
\(520\) 15.3632i 0.673719i
\(521\) −18.6103 10.7447i −0.815334 0.470733i 0.0334709 0.999440i \(-0.489344\pi\)
−0.848805 + 0.528707i \(0.822677\pi\)
\(522\) −4.57220 2.63976i −0.200120 0.115539i
\(523\) 14.3812 + 24.9090i 0.628846 + 1.08919i 0.987784 + 0.155832i \(0.0498058\pi\)
−0.358937 + 0.933362i \(0.616861\pi\)
\(524\) 21.9869i 0.960503i
\(525\) 14.0966 + 24.4161i 0.615228 + 1.06561i
\(526\) −16.9577 + 29.3716i −0.739392 + 1.28066i
\(527\) 7.35842 33.0259i 0.320538 1.43863i
\(528\) −34.5357 + 59.8176i −1.50297 + 2.60323i
\(529\) −3.04048 5.26626i −0.132195 0.228968i
\(530\) −12.4323 + 7.17781i −0.540026 + 0.311784i
\(531\) −3.46314 5.99833i −0.150287 0.260306i
\(532\) 125.551i 5.44335i
\(533\) −5.89500 + 3.40348i −0.255341 + 0.147421i
\(534\) −71.9672 + 41.5503i −3.11433 + 1.79806i
\(535\) 3.26077 5.64782i 0.140975 0.244176i
\(536\) 41.1958 71.3533i 1.77939 3.08199i
\(537\) 10.4565i 0.451230i
\(538\) 24.4021i 1.05205i
\(539\) 62.8821 + 36.3050i 2.70852 + 1.56377i
\(540\) −11.1839 + 19.3711i −0.481279 + 0.833600i
\(541\) 4.91450 2.83739i 0.211291 0.121989i −0.390620 0.920552i \(-0.627739\pi\)
0.601911 + 0.798563i \(0.294406\pi\)
\(542\) −35.2265 61.0141i −1.51311 2.62078i
\(543\) 25.9425 1.11330
\(544\) −4.10872 13.0796i −0.176160 0.560782i
\(545\) −7.27147 12.5946i −0.311476 0.539491i
\(546\) −21.9360 37.9943i −0.938774 1.62600i
\(547\) 23.2117 + 13.4013i 0.992460 + 0.572997i 0.906009 0.423259i \(-0.139114\pi\)
0.0864512 + 0.996256i \(0.472447\pi\)
\(548\) −35.1176 −1.50015
\(549\) 1.80479 + 1.04200i 0.0770267 + 0.0444714i
\(550\) −38.8552 + 22.4330i −1.65679 + 0.956548i
\(551\) 12.1553i 0.517832i
\(552\) 24.2372 + 41.9801i 1.03161 + 1.78679i
\(553\) 29.9349 51.8488i 1.27296 2.20484i
\(554\) 49.0293 + 28.3071i 2.08305 + 1.20265i
\(555\) 1.50386i 0.0638354i
\(556\) 50.5416 + 29.1802i 2.14344 + 1.23752i
\(557\) −4.61019 −0.195340 −0.0976699 0.995219i \(-0.531139\pi\)
−0.0976699 + 0.995219i \(0.531139\pi\)
\(558\) 23.4098i 0.991018i
\(559\) −11.9611 4.24437i −0.505899 0.179518i
\(560\) 36.1022 1.52560
\(561\) −46.8068 10.4289i −1.97618 0.440309i
\(562\) 19.3832 33.5727i 0.817632 1.41618i
\(563\) 22.1779 0.934688 0.467344 0.884076i \(-0.345211\pi\)
0.467344 + 0.884076i \(0.345211\pi\)
\(564\) −81.5431 47.0789i −3.43358 1.98238i
\(565\) 7.53115 13.0443i 0.316838 0.548779i
\(566\) 64.7947 37.4093i 2.72353 1.57243i
\(567\) 49.3395i 2.07206i
\(568\) 28.0182 16.1763i 1.17562 0.678744i
\(569\) −20.3358 + 35.2226i −0.852519 + 1.47661i 0.0264086 + 0.999651i \(0.491593\pi\)
−0.878928 + 0.476955i \(0.841740\pi\)
\(570\) 45.9488 1.92458
\(571\) −39.4525 22.7779i −1.65103 0.953225i −0.976648 0.214846i \(-0.931075\pi\)
−0.674386 0.738379i \(-0.735592\pi\)
\(572\) 41.2909 23.8393i 1.72646 0.996773i
\(573\) 9.79767 5.65669i 0.409303 0.236311i
\(574\) −19.5997 33.9477i −0.818076 1.41695i
\(575\) 12.8487i 0.535828i
\(576\) −2.00288 3.46909i −0.0834532 0.144545i
\(577\) −8.81635 15.2704i −0.367030 0.635714i 0.622070 0.782962i \(-0.286292\pi\)
−0.989100 + 0.147248i \(0.952959\pi\)
\(578\) 35.0253 24.4144i 1.45686 1.01550i
\(579\) 0.588090 1.01860i 0.0244402 0.0423316i
\(580\) −10.9196 −0.453414
\(581\) 41.7038i 1.73017i
\(582\) −48.0552 + 83.2340i −1.99195 + 3.45016i
\(583\) −20.6681 11.9328i −0.855987 0.494204i
\(584\) 31.6663 18.2825i 1.31036 0.756537i
\(585\) −2.60791 + 1.50568i −0.107824 + 0.0622521i
\(586\) 35.4419 1.46409
\(587\) −15.6017 27.0230i −0.643953 1.11536i −0.984542 0.175147i \(-0.943960\pi\)
0.340590 0.940212i \(-0.389373\pi\)
\(588\) 96.3163 55.6083i 3.97202 2.29325i
\(589\) −46.6766 + 26.9487i −1.92328 + 1.11040i
\(590\) −18.1669 10.4887i −0.747919 0.431811i
\(591\) −12.9132 −0.531177
\(592\) 2.77651 + 1.60302i 0.114114 + 0.0658838i
\(593\) −11.3200 19.6068i −0.464855 0.805153i 0.534340 0.845270i \(-0.320560\pi\)
−0.999195 + 0.0401168i \(0.987227\pi\)
\(594\) −54.4514 −2.23417
\(595\) 7.51178 + 23.9127i 0.307953 + 0.980327i
\(596\) 2.52783 4.37833i 0.103544 0.179343i
\(597\) 10.1707 17.6162i 0.416259 0.720982i
\(598\) 19.9941i 0.817619i
\(599\) 0.0513591 0.0889565i 0.00209848 0.00363467i −0.864974 0.501816i \(-0.832665\pi\)
0.867073 + 0.498182i \(0.165999\pi\)
\(600\) 36.8126i 1.50287i
\(601\) 16.2904i 0.664500i 0.943191 + 0.332250i \(0.107808\pi\)
−0.943191 + 0.332250i \(0.892192\pi\)
\(602\) 24.4422 68.8805i 0.996188 2.80736i
\(603\) −16.1497 −0.657667
\(604\) 18.8265 0.766038
\(605\) 25.7505 + 14.8671i 1.04691 + 0.604432i
\(606\) 2.28057i 0.0926420i
\(607\) −31.4586 18.1626i −1.27686 0.737198i −0.300594 0.953752i \(-0.597185\pi\)
−0.976271 + 0.216554i \(0.930518\pi\)
\(608\) −10.9192 + 18.9127i −0.442833 + 0.767010i
\(609\) −14.4661 + 8.35201i −0.586196 + 0.338440i
\(610\) 6.31171 0.255554
\(611\) 10.4021 + 18.0169i 0.420823 + 0.728887i
\(612\) −13.6441 + 14.8583i −0.551532 + 0.600611i
\(613\) 28.5802 1.15434 0.577171 0.816623i \(-0.304156\pi\)
0.577171 + 0.816623i \(0.304156\pi\)
\(614\) −20.2902 + 35.1437i −0.818847 + 1.41828i
\(615\) −8.48451 + 4.89853i −0.342128 + 0.197528i
\(616\) 73.5404 + 127.376i 2.96303 + 5.13211i
\(617\) −6.79067 + 3.92060i −0.273382 + 0.157837i −0.630424 0.776251i \(-0.717119\pi\)
0.357042 + 0.934089i \(0.383785\pi\)
\(618\) 12.5078i 0.503138i
\(619\) −31.9910 + 18.4700i −1.28583 + 0.742372i −0.977907 0.209041i \(-0.932966\pi\)
−0.307919 + 0.951413i \(0.599633\pi\)
\(620\) 24.2093 + 41.9318i 0.972270 + 1.68402i
\(621\) −7.79687 + 13.5046i −0.312877 + 0.541920i
\(622\) 39.9194 + 23.0474i 1.60062 + 0.924119i
\(623\) 72.2085i 2.89297i
\(624\) 23.3757i 0.935778i
\(625\) −0.188091 + 0.325782i −0.00752362 + 0.0130313i
\(626\) −5.86710 3.38737i −0.234496 0.135386i
\(627\) 38.1938 + 66.1536i 1.52531 + 2.64192i
\(628\) 18.8822 + 32.7050i 0.753483 + 1.30507i
\(629\) −0.484072 + 2.17260i −0.0193012 + 0.0866272i
\(630\) −8.67078 15.0182i −0.345452 0.598341i
\(631\) −3.32085 5.75188i −0.132201 0.228979i 0.792324 0.610101i \(-0.208871\pi\)
−0.924525 + 0.381122i \(0.875538\pi\)
\(632\) 67.7002 39.0867i 2.69297 1.55479i
\(633\) −13.3472 + 23.1180i −0.530504 + 0.918859i
\(634\) 37.5980i 1.49321i
\(635\) 4.91989 + 2.84050i 0.195240 + 0.112722i
\(636\) −31.6573 + 18.2774i −1.25530 + 0.724745i
\(637\) −24.5733 −0.973629
\(638\) −13.2912 23.0210i −0.526203 0.911410i
\(639\) −5.49189 3.17074i −0.217256 0.125433i
\(640\) −18.3955 10.6207i −0.727147 0.419819i
\(641\) 25.1134i 0.991919i 0.868346 + 0.495960i \(0.165184\pi\)
−0.868346 + 0.495960i \(0.834816\pi\)
\(642\) 12.1584 21.0590i 0.479855 0.831134i
\(643\) 3.42114i 0.134916i −0.997722 0.0674582i \(-0.978511\pi\)
0.997722 0.0674582i \(-0.0214889\pi\)
\(644\) 78.6306 3.09848
\(645\) −17.2152 6.10880i −0.677849 0.240534i
\(646\) −66.3813 14.7903i −2.61174 0.581916i
\(647\) −13.7238 −0.539537 −0.269769 0.962925i \(-0.586947\pi\)
−0.269769 + 0.962925i \(0.586947\pi\)
\(648\) −32.2118 + 55.7925i −1.26540 + 2.19174i
\(649\) 34.8738i 1.36892i
\(650\) 7.59198 13.1497i 0.297782 0.515773i
\(651\) 64.1439 + 37.0335i 2.51400 + 1.45146i
\(652\) −15.4531 + 8.92187i −0.605192 + 0.349408i
\(653\) 20.9825i 0.821110i 0.911836 + 0.410555i \(0.134665\pi\)
−0.911836 + 0.410555i \(0.865335\pi\)
\(654\) −27.1131 46.9613i −1.06021 1.83633i
\(655\) −3.49600 + 6.05525i −0.136600 + 0.236598i
\(656\) 20.8861i 0.815465i
\(657\) −6.20695 3.58359i −0.242156 0.139809i
\(658\) −103.755 + 59.9028i −4.04478 + 2.33525i
\(659\) −7.21480 12.4964i −0.281049 0.486790i 0.690595 0.723242i \(-0.257349\pi\)
−0.971643 + 0.236452i \(0.924016\pi\)
\(660\) 59.4289 34.3113i 2.31327 1.33557i
\(661\) 37.9604 1.47649 0.738245 0.674533i \(-0.235655\pi\)
0.738245 + 0.674533i \(0.235655\pi\)
\(662\) −6.60016 11.4318i −0.256522 0.444310i
\(663\) 15.4832 4.86378i 0.601318 0.188894i
\(664\) 27.2268 47.1582i 1.05661 1.83009i
\(665\) 19.9631 34.5771i 0.774137 1.34084i
\(666\) 1.54001i 0.0596742i
\(667\) −7.61263 −0.294762
\(668\) −12.0673 6.96705i −0.466897 0.269563i
\(669\) −23.4042 13.5124i −0.904857 0.522420i
\(670\) −42.3590 + 24.4560i −1.63647 + 0.944816i
\(671\) 5.24646 + 9.08713i 0.202537 + 0.350805i
\(672\) 30.0108 1.15769
\(673\) 15.4260 8.90621i 0.594629 0.343309i −0.172297 0.985045i \(-0.555119\pi\)
0.766926 + 0.641736i \(0.221785\pi\)
\(674\) −49.9098 + 28.8154i −1.92245 + 1.10993i
\(675\) −10.2557 + 5.92112i −0.394741 + 0.227904i
\(676\) 19.9300 34.5198i 0.766539 1.32769i
\(677\) 16.4685i 0.632936i −0.948603 0.316468i \(-0.897503\pi\)
0.948603 0.316468i \(-0.102497\pi\)
\(678\) 28.0814 48.6384i 1.07846 1.86795i
\(679\) 41.7565 + 72.3244i 1.60247 + 2.77556i
\(680\) −7.11747 + 31.9444i −0.272943 + 1.22501i
\(681\) 3.98217 + 6.89731i 0.152597 + 0.264306i
\(682\) −58.9342 + 102.077i −2.25671 + 3.90873i
\(683\) 9.20879 + 5.31670i 0.352365 + 0.203438i 0.665726 0.746196i \(-0.268122\pi\)
−0.313362 + 0.949634i \(0.601455\pi\)
\(684\) 32.1332 1.22864
\(685\) 9.67146 + 5.58382i 0.369528 + 0.213347i
\(686\) 63.4894i 2.42404i
\(687\) 11.3613i 0.433460i
\(688\) 29.6287 25.2721i 1.12959 0.963491i
\(689\) 8.07677 0.307700
\(690\) 28.7769i 1.09552i
\(691\) 8.97676 + 5.18273i 0.341492 + 0.197160i 0.660932 0.750446i \(-0.270161\pi\)
−0.319440 + 0.947607i \(0.603495\pi\)
\(692\) 30.7492i 1.16891i
\(693\) 14.4148 24.9671i 0.547571 0.948421i
\(694\) −30.2407 17.4594i −1.14792 0.662752i
\(695\) −9.27950 16.0726i −0.351992 0.609667i
\(696\) −21.8108 −0.826737
\(697\) 13.8342 4.34577i 0.524006 0.164608i
\(698\) 37.2951 64.5971i 1.41164 2.44503i
\(699\) −22.7938 −0.862142
\(700\) 51.7138 + 29.8569i 1.95460 + 1.12849i
\(701\) 10.6373 + 18.4243i 0.401765 + 0.695877i 0.993939 0.109933i \(-0.0350636\pi\)
−0.592174 + 0.805810i \(0.701730\pi\)
\(702\) 15.9590 9.21394i 0.602334 0.347758i
\(703\) 3.07061 1.77282i 0.115810 0.0668631i
\(704\) 20.1690i 0.760146i
\(705\) 14.9714 + 25.9313i 0.563857 + 0.976629i
\(706\) −5.85006 10.1326i −0.220170 0.381345i
\(707\) 1.71617 + 0.990828i 0.0645430 + 0.0372639i
\(708\) −46.2597 26.7080i −1.73854 1.00375i
\(709\) 45.3238i 1.70217i −0.525027 0.851086i \(-0.675945\pi\)
0.525027 0.851086i \(-0.324055\pi\)
\(710\) −19.2062 −0.720795
\(711\) −13.2700 7.66144i −0.497664 0.287326i
\(712\) −47.1421 + 81.6526i −1.76673 + 3.06006i
\(713\) 16.8775 + 29.2327i 0.632068 + 1.09477i
\(714\) 28.0092 + 89.1635i 1.04822 + 3.33686i
\(715\) −15.1622 −0.567032
\(716\) 11.0735 + 19.1798i 0.413836 + 0.716785i
\(717\) −47.5078 + 27.4286i −1.77421 + 1.02434i
\(718\) −4.09121 7.08618i −0.152683 0.264454i
\(719\) −20.7953 12.0062i −0.775534 0.447755i 0.0593112 0.998240i \(-0.481110\pi\)
−0.834845 + 0.550485i \(0.814443\pi\)
\(720\) 9.23987i 0.344350i
\(721\) 9.41231 + 5.43420i 0.350533 + 0.202380i
\(722\) 30.3077 + 52.4944i 1.12793 + 1.95364i
\(723\) 14.0195 0.521391
\(724\) 47.5853 27.4734i 1.76849 1.02104i
\(725\) −5.00667 2.89060i −0.185943 0.107354i
\(726\) 96.0160 + 55.4349i 3.56349 + 2.05738i
\(727\) 25.2064 0.934853 0.467426 0.884032i \(-0.345181\pi\)
0.467426 + 0.884032i \(0.345181\pi\)
\(728\) −43.1075 24.8882i −1.59767 0.922416i
\(729\) −10.5017 −0.388953
\(730\) −21.7069 −0.803409
\(731\) 22.9042 + 14.3666i 0.847141 + 0.531368i
\(732\) 16.0720 0.594037
\(733\) 17.5659 0.648813 0.324406 0.945918i \(-0.394835\pi\)
0.324406 + 0.945918i \(0.394835\pi\)
\(734\) 50.7710 + 29.3126i 1.87399 + 1.08195i
\(735\) −35.3676 −1.30455
\(736\) 11.8447 + 6.83852i 0.436600 + 0.252071i
\(737\) −70.4197 40.6568i −2.59394 1.49761i
\(738\) −8.68845 + 5.01628i −0.319826 + 0.184652i
\(739\) 31.7737 1.16882 0.584408 0.811460i \(-0.301327\pi\)
0.584408 + 0.811460i \(0.301327\pi\)
\(740\) −1.59260 2.75847i −0.0585453 0.101403i
\(741\) −22.3883 12.9259i −0.822453 0.474844i
\(742\) 46.5119i 1.70751i
\(743\) −5.91820 3.41688i −0.217118 0.125353i 0.387497 0.921871i \(-0.373340\pi\)
−0.604615 + 0.796518i \(0.706673\pi\)
\(744\) 48.3555 + 83.7542i 1.77280 + 3.07058i
\(745\) −1.39234 + 0.803867i −0.0510114 + 0.0294514i
\(746\) 4.83368 + 8.37218i 0.176974 + 0.306527i
\(747\) −10.6735 −0.390524
\(748\) −96.9001 + 30.4395i −3.54302 + 1.11298i
\(749\) −10.5648 18.2988i −0.386030 0.668624i
\(750\) 28.4172 49.2200i 1.03765 1.79726i
\(751\) 24.3491 + 14.0579i 0.888510 + 0.512982i 0.873455 0.486905i \(-0.161874\pi\)
0.0150554 + 0.999887i \(0.495208\pi\)
\(752\) −63.8343 −2.32780
\(753\) 49.3365i 1.79792i
\(754\) 7.79096 + 4.49811i 0.283730 + 0.163812i
\(755\) −5.18485 2.99347i −0.188696 0.108944i
\(756\) 36.2356 + 62.7620i 1.31788 + 2.28263i
\(757\) −20.6236 35.7212i −0.749579 1.29831i −0.948025 0.318197i \(-0.896923\pi\)
0.198446 0.980112i \(-0.436411\pi\)
\(758\) 0.0302289i 0.00109796i
\(759\) 41.4308 23.9201i 1.50384 0.868245i
\(760\) 45.1482 26.0663i 1.63770 0.945524i
\(761\) −26.9871 46.7431i −0.978282 1.69443i −0.668648 0.743579i \(-0.733127\pi\)
−0.309635 0.950856i \(-0.600207\pi\)
\(762\) 18.3448 + 10.5914i 0.664562 + 0.383685i