Properties

Label 76.5.l.a.23.16
Level $76$
Weight $5$
Character 76.23
Analytic conductor $7.856$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 76.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.85611719437\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(38\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 23.16
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33273 + 3.77145i) q^{2} +(-4.88717 + 0.861739i) q^{3} +(-12.4477 - 10.0526i) q^{4} +(-29.7827 + 24.9906i) q^{5} +(3.26326 - 19.5802i) q^{6} +(20.5177 + 11.8459i) q^{7} +(54.5024 - 33.5483i) q^{8} +(-52.9733 + 19.2807i) q^{9} +O(q^{10})\) \(q+(-1.33273 + 3.77145i) q^{2} +(-4.88717 + 0.861739i) q^{3} +(-12.4477 - 10.0526i) q^{4} +(-29.7827 + 24.9906i) q^{5} +(3.26326 - 19.5802i) q^{6} +(20.5177 + 11.8459i) q^{7} +(54.5024 - 33.5483i) q^{8} +(-52.9733 + 19.2807i) q^{9} +(-54.5587 - 145.630i) q^{10} +(101.352 - 58.5153i) q^{11} +(69.4966 + 38.4023i) q^{12} +(52.2772 - 296.479i) q^{13} +(-72.0208 + 61.5941i) q^{14} +(124.017 - 147.798i) q^{15} +(53.8889 + 250.264i) q^{16} +(28.4336 + 10.3490i) q^{17} +(-2.11717 - 225.482i) q^{18} +(-259.020 + 251.455i) q^{19} +(621.947 - 11.6806i) q^{20} +(-110.482 - 40.2120i) q^{21} +(85.6135 + 460.227i) q^{22} +(296.930 - 353.867i) q^{23} +(-237.452 + 210.923i) q^{24} +(153.946 - 873.071i) q^{25} +(1048.48 + 592.286i) q^{26} +(590.388 - 340.861i) q^{27} +(-136.315 - 353.711i) q^{28} +(-279.219 + 101.627i) q^{29} +(392.132 + 664.701i) q^{30} +(-602.887 - 348.077i) q^{31} +(-1015.68 - 130.295i) q^{32} +(-444.897 + 373.313i) q^{33} +(-76.9250 + 93.4436i) q^{34} +(-907.109 + 159.948i) q^{35} +(853.216 + 292.522i) q^{36} -1760.84 q^{37} +(-603.148 - 1312.00i) q^{38} +1493.99i q^{39} +(-784.834 + 2361.21i) q^{40} +(-278.144 - 1577.43i) q^{41} +(298.899 - 363.084i) q^{42} +(-914.707 - 1090.10i) q^{43} +(-1849.82 - 290.471i) q^{44} +(1095.85 - 1898.07i) q^{45} +(938.865 + 1591.46i) q^{46} +(1067.38 + 2932.59i) q^{47} +(-479.026 - 1176.64i) q^{48} +(-919.849 - 1593.23i) q^{49} +(3087.58 + 1744.17i) q^{50} +(-147.878 - 26.0749i) q^{51} +(-3631.12 + 3164.94i) q^{52} +(728.580 + 611.351i) q^{53} +(498.712 + 2680.89i) q^{54} +(-1556.18 + 4275.58i) q^{55} +(1515.67 - 42.7043i) q^{56} +(1049.18 - 1452.11i) q^{57} +(-11.1594 - 1188.50i) q^{58} +(1806.30 - 4962.76i) q^{59} +(-3029.49 + 593.041i) q^{60} +(-3471.11 - 2912.61i) q^{61} +(2116.24 - 1809.87i) q^{62} +(-1315.29 - 231.921i) q^{63} +(1845.02 - 3656.93i) q^{64} +(5852.23 + 10136.4i) q^{65} +(-815.003 - 2175.43i) q^{66} +(-1662.20 - 4566.86i) q^{67} +(-249.898 - 414.654i) q^{68} +(-1146.20 + 1985.28i) q^{69} +(605.695 - 3634.28i) q^{70} +(2039.35 + 2430.41i) q^{71} +(-2240.34 + 2828.01i) q^{72} +(987.975 + 5603.08i) q^{73} +(2346.73 - 6640.93i) q^{74} +4399.50i q^{75} +(5751.98 - 526.200i) q^{76} +2772.67 q^{77} +(-5634.51 - 1991.08i) q^{78} +(11723.5 - 2067.17i) q^{79} +(-7859.21 - 6106.81i) q^{80} +(906.331 - 760.502i) q^{81} +(6319.90 + 1053.28i) q^{82} +(-7598.47 - 4386.98i) q^{83} +(971.001 + 1611.18i) q^{84} +(-1105.46 + 402.353i) q^{85} +(5330.33 - 1996.96i) q^{86} +(1277.01 - 737.284i) q^{87} +(3560.81 - 6589.40i) q^{88} +(-471.387 + 2673.37i) q^{89} +(5698.00 + 6662.55i) q^{90} +(4584.67 - 5463.79i) q^{91} +(-7253.38 + 1419.89i) q^{92} +(3246.36 + 1181.58i) q^{93} +(-12482.7 + 117.206i) q^{94} +(1430.27 - 13962.1i) q^{95} +(5076.06 - 238.477i) q^{96} +(-6087.20 - 2215.56i) q^{97} +(7234.68 - 1345.83i) q^{98} +(-4240.71 + 5053.88i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} - 453q^{10} - 3q^{12} + 516q^{13} + 81q^{14} - 720q^{16} - 12q^{17} - 12q^{18} - 1182q^{20} - 930q^{21} - 54q^{22} - 2664q^{24} - 12q^{25} - 3099q^{26} - 4824q^{28} - 12q^{29} + 5814q^{30} + 7419q^{32} + 1542q^{33} + 6912q^{34} + 8547q^{36} - 24q^{37} - 1536q^{38} - 6942q^{40} + 6396q^{41} - 18855q^{42} - 1143q^{44} - 6q^{45} - 1488q^{46} + 6093q^{48} + 26748q^{49} + 8070q^{50} - 12591q^{52} + 2436q^{53} - 7365q^{54} - 14418q^{56} - 12q^{57} + 8268q^{58} + 34632q^{60} - 31068q^{61} + 27396q^{62} + 4575q^{64} + 3594q^{65} - 29556q^{66} - 22782q^{68} + 29370q^{69} - 71541q^{70} - 30174q^{72} - 6348q^{73} - 417q^{74} + 43194q^{76} - 50436q^{77} + 45537q^{78} + 30081q^{80} - 41994q^{81} + 72219q^{82} + 13779q^{84} - 59244q^{85} + 19200q^{86} - 22395q^{88} + 1860q^{89} + 45594q^{90} - 64140q^{92} + 59118q^{93} - 55590q^{94} - 98646q^{96} - 5556q^{97} - 52215q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33273 + 3.77145i −0.333182 + 0.942862i
\(3\) −4.88717 + 0.861739i −0.543018 + 0.0957488i −0.438428 0.898767i \(-0.644464\pi\)
−0.104591 + 0.994515i \(0.533353\pi\)
\(4\) −12.4477 10.0526i −0.777979 0.628290i
\(5\) −29.7827 + 24.9906i −1.19131 + 0.999625i −0.191471 + 0.981498i \(0.561326\pi\)
−0.999836 + 0.0181271i \(0.994230\pi\)
\(6\) 3.26326 19.5802i 0.0906461 0.543893i
\(7\) 20.5177 + 11.8459i 0.418729 + 0.241753i 0.694533 0.719461i \(-0.255611\pi\)
−0.275804 + 0.961214i \(0.588944\pi\)
\(8\) 54.5024 33.5483i 0.851600 0.524192i
\(9\) −52.9733 + 19.2807i −0.653991 + 0.238033i
\(10\) −54.5587 145.630i −0.545587 1.45630i
\(11\) 101.352 58.5153i 0.837616 0.483598i −0.0188372 0.999823i \(-0.505996\pi\)
0.856453 + 0.516225i \(0.172663\pi\)
\(12\) 69.4966 + 38.4023i 0.482615 + 0.266682i
\(13\) 52.2772 296.479i 0.309332 1.75431i −0.293044 0.956099i \(-0.594668\pi\)
0.602376 0.798212i \(-0.294221\pi\)
\(14\) −72.0208 + 61.5941i −0.367453 + 0.314256i
\(15\) 124.017 147.798i 0.551189 0.656881i
\(16\) 53.8889 + 250.264i 0.210503 + 0.977593i
\(17\) 28.4336 + 10.3490i 0.0983862 + 0.0358097i 0.390744 0.920499i \(-0.372218\pi\)
−0.292358 + 0.956309i \(0.594440\pi\)
\(18\) −2.11717 225.482i −0.00653446 0.695932i
\(19\) −259.020 + 251.455i −0.717506 + 0.696552i
\(20\) 621.947 11.6806i 1.55487 0.0292014i
\(21\) −110.482 40.2120i −0.250525 0.0911837i
\(22\) 85.6135 + 460.227i 0.176887 + 0.950883i
\(23\) 296.930 353.867i 0.561304 0.668936i −0.408518 0.912750i \(-0.633954\pi\)
0.969822 + 0.243814i \(0.0783988\pi\)
\(24\) −237.452 + 210.923i −0.412244 + 0.366186i
\(25\) 153.946 873.071i 0.246314 1.39691i
\(26\) 1048.48 + 592.286i 1.55101 + 0.876163i
\(27\) 590.388 340.861i 0.809860 0.467573i
\(28\) −136.315 353.711i −0.173871 0.451162i
\(29\) −279.219 + 101.627i −0.332008 + 0.120841i −0.502645 0.864493i \(-0.667640\pi\)
0.170637 + 0.985334i \(0.445418\pi\)
\(30\) 392.132 + 664.701i 0.435702 + 0.738556i
\(31\) −602.887 348.077i −0.627354 0.362203i 0.152373 0.988323i \(-0.451309\pi\)
−0.779726 + 0.626120i \(0.784642\pi\)
\(32\) −1015.68 130.295i −0.991872 0.127241i
\(33\) −444.897 + 373.313i −0.408537 + 0.342803i
\(34\) −76.9250 + 93.4436i −0.0665441 + 0.0808335i
\(35\) −907.109 + 159.948i −0.740497 + 0.130570i
\(36\) 853.216 + 292.522i 0.658346 + 0.225711i
\(37\) −1760.84 −1.28623 −0.643113 0.765771i \(-0.722357\pi\)
−0.643113 + 0.765771i \(0.722357\pi\)
\(38\) −603.148 1312.00i −0.417693 0.908588i
\(39\) 1493.99i 0.982242i
\(40\) −784.834 + 2361.21i −0.490521 + 1.47575i
\(41\) −278.144 1577.43i −0.165463 0.938390i −0.948585 0.316522i \(-0.897485\pi\)
0.783122 0.621868i \(-0.213626\pi\)
\(42\) 298.899 363.084i 0.169444 0.205830i
\(43\) −914.707 1090.10i −0.494703 0.589565i 0.459704 0.888072i \(-0.347956\pi\)
−0.954407 + 0.298508i \(0.903511\pi\)
\(44\) −1849.82 290.471i −0.955487 0.150037i
\(45\) 1095.85 1898.07i 0.541160 0.937317i
\(46\) 938.865 + 1591.46i 0.443698 + 0.752110i
\(47\) 1067.38 + 2932.59i 0.483194 + 1.32757i 0.906740 + 0.421691i \(0.138563\pi\)
−0.423545 + 0.905875i \(0.639214\pi\)
\(48\) −479.026 1176.64i −0.207911 0.510696i
\(49\) −919.849 1593.23i −0.383111 0.663567i
\(50\) 3087.58 + 1744.17i 1.23503 + 0.697667i
\(51\) −147.878 26.0749i −0.0568543 0.0100249i
\(52\) −3631.12 + 3164.94i −1.34287 + 1.17047i
\(53\) 728.580 + 611.351i 0.259373 + 0.217640i 0.763196 0.646167i \(-0.223629\pi\)
−0.503823 + 0.863807i \(0.668073\pi\)
\(54\) 498.712 + 2680.89i 0.171026 + 0.919374i
\(55\) −1556.18 + 4275.58i −0.514441 + 1.41342i
\(56\) 1515.67 42.7043i 0.483315 0.0136175i
\(57\) 1049.18 1452.11i 0.322925 0.446941i
\(58\) −11.1594 1188.50i −0.00331732 0.353300i
\(59\) 1806.30 4962.76i 0.518902 1.42567i −0.352830 0.935687i \(-0.614781\pi\)
0.871732 0.489983i \(-0.162997\pi\)
\(60\) −3029.49 + 593.041i −0.841525 + 0.164734i
\(61\) −3471.11 2912.61i −0.932844 0.782749i 0.0434817 0.999054i \(-0.486155\pi\)
−0.976326 + 0.216305i \(0.930599\pi\)
\(62\) 2116.24 1809.87i 0.550530 0.470829i
\(63\) −1315.29 231.921i −0.331390 0.0584331i
\(64\) 1845.02 3656.93i 0.450445 0.892804i
\(65\) 5852.23 + 10136.4i 1.38514 + 2.39914i
\(66\) −815.003 2175.43i −0.187099 0.499410i
\(67\) −1662.20 4566.86i −0.370283 1.01734i −0.975252 0.221096i \(-0.929037\pi\)
0.604969 0.796249i \(-0.293186\pi\)
\(68\) −249.898 414.654i −0.0540436 0.0896742i
\(69\) −1146.20 + 1985.28i −0.240748 + 0.416989i
\(70\) 605.695 3634.28i 0.123611 0.741690i
\(71\) 2039.35 + 2430.41i 0.404554 + 0.482128i 0.929403 0.369067i \(-0.120323\pi\)
−0.524849 + 0.851195i \(0.675878\pi\)
\(72\) −2240.34 + 2828.01i −0.432164 + 0.545527i
\(73\) 987.975 + 5603.08i 0.185396 + 1.05143i 0.925446 + 0.378880i \(0.123691\pi\)
−0.740050 + 0.672552i \(0.765198\pi\)
\(74\) 2346.73 6640.93i 0.428547 1.21273i
\(75\) 4399.50i 0.782134i
\(76\) 5751.98 526.200i 0.995842 0.0911011i
\(77\) 2772.67 0.467645
\(78\) −5634.51 1991.08i −0.926119 0.327265i
\(79\) 11723.5 2067.17i 1.87846 0.331224i 0.887016 0.461739i \(-0.152774\pi\)
0.991446 + 0.130515i \(0.0416632\pi\)
\(80\) −7859.21 6106.81i −1.22800 0.954189i
\(81\) 906.331 760.502i 0.138139 0.115913i
\(82\) 6319.90 + 1053.28i 0.939902 + 0.156646i
\(83\) −7598.47 4386.98i −1.10299 0.636809i −0.165982 0.986129i \(-0.553079\pi\)
−0.937004 + 0.349320i \(0.886413\pi\)
\(84\) 971.001 + 1611.18i 0.137613 + 0.228341i
\(85\) −1105.46 + 402.353i −0.153004 + 0.0556891i
\(86\) 5330.33 1996.96i 0.720705 0.270005i
\(87\) 1277.01 737.284i 0.168716 0.0974084i
\(88\) 3560.81 6589.40i 0.459815 0.850904i
\(89\) −471.387 + 2673.37i −0.0595110 + 0.337504i −0.999997 0.00232797i \(-0.999259\pi\)
0.940486 + 0.339832i \(0.110370\pi\)
\(90\) 5698.00 + 6662.55i 0.703456 + 0.822537i
\(91\) 4584.67 5463.79i 0.553637 0.659799i
\(92\) −7253.38 + 1419.89i −0.856968 + 0.167757i
\(93\) 3246.36 + 1181.58i 0.375345 + 0.136614i
\(94\) −12482.7 + 117.206i −1.41270 + 0.0132646i
\(95\) 1430.27 13962.1i 0.158479 1.54704i
\(96\) 5076.06 238.477i 0.550788 0.0258764i
\(97\) −6087.20 2215.56i −0.646955 0.235472i −0.00236072 0.999997i \(-0.500751\pi\)
−0.644594 + 0.764525i \(0.722974\pi\)
\(98\) 7234.68 1345.83i 0.753298 0.140132i
\(99\) −4240.71 + 5053.88i −0.432681 + 0.515649i
\(100\) −10692.9 + 9320.14i −1.06929 + 0.932014i
\(101\) −216.989 + 1230.61i −0.0212714 + 0.120636i −0.993595 0.113004i \(-0.963953\pi\)
0.972323 + 0.233640i \(0.0750638\pi\)
\(102\) 295.421 522.963i 0.0283950 0.0502656i
\(103\) −13954.6 + 8056.68i −1.31535 + 0.759419i −0.982977 0.183728i \(-0.941183\pi\)
−0.332375 + 0.943147i \(0.607850\pi\)
\(104\) −7097.13 17912.6i −0.656169 1.65612i
\(105\) 4295.36 1563.38i 0.389602 0.141803i
\(106\) −3276.68 + 1933.04i −0.291623 + 0.172040i
\(107\) 307.803 + 177.710i 0.0268847 + 0.0155219i 0.513382 0.858160i \(-0.328392\pi\)
−0.486497 + 0.873682i \(0.661726\pi\)
\(108\) −10775.5 1692.04i −0.923826 0.145065i
\(109\) 4429.31 3716.64i 0.372806 0.312822i −0.437064 0.899430i \(-0.643982\pi\)
0.809871 + 0.586609i \(0.199537\pi\)
\(110\) −14051.2 11567.3i −1.16125 0.955972i
\(111\) 8605.53 1517.39i 0.698444 0.123155i
\(112\) −1858.93 + 5773.20i −0.148192 + 0.460236i
\(113\) 1015.05 0.0794936 0.0397468 0.999210i \(-0.487345\pi\)
0.0397468 + 0.999210i \(0.487345\pi\)
\(114\) 4078.29 + 5892.21i 0.313811 + 0.453387i
\(115\) 17959.6i 1.35800i
\(116\) 4497.25 + 1541.86i 0.334219 + 0.114586i
\(117\) 2947.02 + 16713.4i 0.215284 + 1.22094i
\(118\) 16309.5 + 13426.4i 1.17132 + 0.964261i
\(119\) 460.800 + 549.160i 0.0325400 + 0.0387797i
\(120\) 1800.87 12215.9i 0.125060 0.848329i
\(121\) −472.413 + 818.242i −0.0322664 + 0.0558871i
\(122\) 15610.8 9209.41i 1.04883 0.618746i
\(123\) 2718.67 + 7469.49i 0.179699 + 0.493720i
\(124\) 4005.44 + 10393.3i 0.260500 + 0.675946i
\(125\) 5084.14 + 8805.98i 0.325385 + 0.563583i
\(126\) 2627.60 4651.46i 0.165508 0.292987i
\(127\) 9611.28 + 1694.73i 0.595900 + 0.105073i 0.463460 0.886118i \(-0.346608\pi\)
0.132440 + 0.991191i \(0.457719\pi\)
\(128\) 11333.0 + 11832.1i 0.691712 + 0.722174i
\(129\) 5409.71 + 4539.28i 0.325083 + 0.272777i
\(130\) −46028.2 + 8562.38i −2.72356 + 0.506650i
\(131\) 112.640 309.477i 0.00656374 0.0180337i −0.936367 0.351021i \(-0.885834\pi\)
0.942931 + 0.332988i \(0.108057\pi\)
\(132\) 9290.70 174.486i 0.533213 0.0100141i
\(133\) −8293.21 + 2090.96i −0.468834 + 0.118207i
\(134\) 19438.9 182.522i 1.08259 0.0101650i
\(135\) −9065.01 + 24905.9i −0.497394 + 1.36658i
\(136\) 1896.89 389.855i 0.102557 0.0210778i
\(137\) −8015.49 6725.79i −0.427060 0.358346i 0.403781 0.914856i \(-0.367696\pi\)
−0.830841 + 0.556510i \(0.812140\pi\)
\(138\) −5959.82 6968.69i −0.312950 0.365926i
\(139\) −34487.6 6081.10i −1.78498 0.314740i −0.819085 0.573672i \(-0.805519\pi\)
−0.965896 + 0.258931i \(0.916630\pi\)
\(140\) 12899.3 + 7127.86i 0.658127 + 0.363666i
\(141\) −7743.58 13412.3i −0.389496 0.674627i
\(142\) −11884.1 + 4452.25i −0.589371 + 0.220802i
\(143\) −12050.2 33107.6i −0.589279 1.61903i
\(144\) −7679.94 12218.3i −0.370367 0.589231i
\(145\) 5776.16 10004.6i 0.274728 0.475843i
\(146\) −22448.4 3741.29i −1.05313 0.175516i
\(147\) 5868.40 + 6993.69i 0.271572 + 0.323647i
\(148\) 21918.4 + 17701.1i 1.00066 + 0.808123i
\(149\) −5436.12 30829.8i −0.244859 1.38867i −0.820819 0.571188i \(-0.806483\pi\)
0.575960 0.817478i \(-0.304628\pi\)
\(150\) −16592.5 5863.35i −0.737445 0.260593i
\(151\) 15255.5i 0.669072i 0.942383 + 0.334536i \(0.108580\pi\)
−0.942383 + 0.334536i \(0.891420\pi\)
\(152\) −5681.30 + 22394.6i −0.245901 + 0.969295i
\(153\) −1705.76 −0.0728676
\(154\) −3695.21 + 10457.0i −0.155811 + 0.440925i
\(155\) 26654.2 4699.86i 1.10944 0.195624i
\(156\) 15018.5 18596.7i 0.617133 0.764164i
\(157\) −901.967 + 756.841i −0.0365925 + 0.0307047i −0.660900 0.750474i \(-0.729825\pi\)
0.624308 + 0.781178i \(0.285381\pi\)
\(158\) −7828.01 + 46969.5i −0.313572 + 1.88149i
\(159\) −4087.52 2359.93i −0.161683 0.0933479i
\(160\) 33505.7 21501.9i 1.30882 0.839917i
\(161\) 10284.2 3743.14i 0.396751 0.144406i
\(162\) 1660.30 + 4431.73i 0.0632641 + 0.168866i
\(163\) −6050.74 + 3493.40i −0.227737 + 0.131484i −0.609528 0.792765i \(-0.708641\pi\)
0.381791 + 0.924249i \(0.375308\pi\)
\(164\) −12395.1 + 22431.4i −0.460854 + 0.834007i
\(165\) 3920.90 22236.5i 0.144018 0.816768i
\(166\) 26672.0 22810.6i 0.967918 0.827790i
\(167\) 25101.6 29915.0i 0.900055 1.07264i −0.0969485 0.995289i \(-0.530908\pi\)
0.997004 0.0773545i \(-0.0246473\pi\)
\(168\) −7370.55 + 1514.82i −0.261145 + 0.0536713i
\(169\) −58328.1 21229.7i −2.04223 0.743311i
\(170\) −44.1814 4705.40i −0.00152877 0.162817i
\(171\) 8872.90 18314.5i 0.303440 0.626330i
\(172\) 427.532 + 22764.5i 0.0144515 + 0.769486i
\(173\) −40260.4 14653.6i −1.34520 0.489612i −0.433752 0.901032i \(-0.642810\pi\)
−0.911446 + 0.411421i \(0.865033\pi\)
\(174\) 1078.72 + 5798.79i 0.0356294 + 0.191531i
\(175\) 13500.9 16089.8i 0.440847 0.525381i
\(176\) 20106.0 + 22211.3i 0.649083 + 0.717049i
\(177\) −4551.07 + 25810.4i −0.145267 + 0.823850i
\(178\) −9454.24 5340.68i −0.298392 0.168561i
\(179\) −15134.1 + 8737.66i −0.472335 + 0.272703i −0.717217 0.696850i \(-0.754584\pi\)
0.244882 + 0.969553i \(0.421251\pi\)
\(180\) −32721.4 + 12610.3i −1.00992 + 0.389208i
\(181\) 464.506 169.066i 0.0141786 0.00516060i −0.334921 0.942246i \(-0.608710\pi\)
0.349100 + 0.937086i \(0.386487\pi\)
\(182\) 14496.3 + 24572.6i 0.437637 + 0.741836i
\(183\) 19473.8 + 11243.2i 0.581499 + 0.335728i
\(184\) 4311.74 29248.1i 0.127355 0.863897i
\(185\) 52442.6 44004.6i 1.53229 1.28574i
\(186\) −8782.78 + 10668.8i −0.253867 + 0.308381i
\(187\) 3487.37 614.917i 0.0997273 0.0175846i
\(188\) 16194.0 47233.9i 0.458181 1.33641i
\(189\) 16151.2 0.452149
\(190\) 50751.1 + 24001.9i 1.40585 + 0.664872i
\(191\) 18670.8i 0.511794i 0.966704 + 0.255897i \(0.0823708\pi\)
−0.966704 + 0.255897i \(0.917629\pi\)
\(192\) −5865.61 + 19461.9i −0.159115 + 0.527939i
\(193\) −1302.27 7385.56i −0.0349613 0.198275i 0.962324 0.271904i \(-0.0876533\pi\)
−0.997286 + 0.0736284i \(0.976542\pi\)
\(194\) 16468.5 20004.8i 0.437572 0.531534i
\(195\) −37335.7 44495.0i −0.981874 1.17015i
\(196\) −4566.14 + 29078.8i −0.118860 + 0.756946i
\(197\) −13373.4 + 23163.4i −0.344596 + 0.596857i −0.985280 0.170947i \(-0.945317\pi\)
0.640685 + 0.767804i \(0.278651\pi\)
\(198\) −13408.7 22729.1i −0.342025 0.579764i
\(199\) 5470.03 + 15028.8i 0.138129 + 0.379505i 0.989399 0.145222i \(-0.0463896\pi\)
−0.851270 + 0.524727i \(0.824167\pi\)
\(200\) −20899.6 52749.1i −0.522491 1.31873i
\(201\) 12058.9 + 20886.6i 0.298480 + 0.516983i
\(202\) −4351.98 2458.43i −0.106656 0.0602497i
\(203\) −6932.80 1222.44i −0.168235 0.0296644i
\(204\) 1578.61 + 1811.13i 0.0379329 + 0.0435202i
\(205\) 47704.9 + 40029.2i 1.13516 + 0.952509i
\(206\) −11787.7 63366.3i −0.277776 1.49322i
\(207\) −8906.54 + 24470.5i −0.207859 + 0.571087i
\(208\) 77015.0 2893.81i 1.78012 0.0668872i
\(209\) −11538.1 + 40642.0i −0.264144 + 0.930428i
\(210\) 171.671 + 18283.3i 0.00389277 + 0.414587i
\(211\) 13672.6 37565.2i 0.307105 0.843764i −0.686113 0.727495i \(-0.740684\pi\)
0.993218 0.116269i \(-0.0370935\pi\)
\(212\) −2923.43 14934.0i −0.0650460 0.332281i
\(213\) −12061.0 10120.4i −0.265843 0.223069i
\(214\) −1080.44 + 924.024i −0.0235925 + 0.0201770i
\(215\) 54484.8 + 9607.14i 1.17869 + 0.207834i
\(216\) 20742.3 38384.3i 0.444579 0.822708i
\(217\) −8246.57 14283.5i −0.175127 0.303329i
\(218\) 8114.03 + 21658.2i 0.170735 + 0.455732i
\(219\) −9656.79 26531.8i −0.201347 0.553196i
\(220\) 62351.8 37577.3i 1.28826 0.776390i
\(221\) 4554.68 7888.94i 0.0932553 0.161523i
\(222\) −5746.09 + 34477.6i −0.116591 + 0.699570i
\(223\) 33101.0 + 39448.3i 0.665629 + 0.793265i 0.988182 0.153286i \(-0.0489856\pi\)
−0.322553 + 0.946551i \(0.604541\pi\)
\(224\) −19295.9 14705.0i −0.384564 0.293068i
\(225\) 8678.40 + 49217.7i 0.171425 + 0.972201i
\(226\) −1352.79 + 3828.22i −0.0264859 + 0.0749515i
\(227\) 60190.2i 1.16808i 0.811724 + 0.584042i \(0.198530\pi\)
−0.811724 + 0.584042i \(0.801470\pi\)
\(228\) −27657.4 + 7528.33i −0.532038 + 0.144820i
\(229\) 11001.7 0.209791 0.104896 0.994483i \(-0.466549\pi\)
0.104896 + 0.994483i \(0.466549\pi\)
\(230\) −67733.6 23935.2i −1.28041 0.452462i
\(231\) −13550.5 + 2389.32i −0.253940 + 0.0447765i
\(232\) −11808.7 + 14906.3i −0.219394 + 0.276945i
\(233\) −6966.26 + 5845.38i −0.128318 + 0.107672i −0.704688 0.709517i \(-0.748913\pi\)
0.576370 + 0.817189i \(0.304469\pi\)
\(234\) −66961.3 11159.9i −1.22290 0.203811i
\(235\) −105077. 60666.1i −1.90270 1.09853i
\(236\) −72373.0 + 43616.7i −1.29943 + 0.783121i
\(237\) −55513.2 + 20205.2i −0.988325 + 0.359721i
\(238\) −2685.25 + 1006.00i −0.0474057 + 0.0177601i
\(239\) 38606.4 22289.4i 0.675871 0.390214i −0.122427 0.992478i \(-0.539068\pi\)
0.798297 + 0.602263i \(0.205734\pi\)
\(240\) 43671.7 + 23072.4i 0.758190 + 0.400563i
\(241\) 16959.3 96180.9i 0.291994 1.65598i −0.387182 0.922003i \(-0.626551\pi\)
0.679176 0.733976i \(-0.262338\pi\)
\(242\) −2456.36 2872.18i −0.0419432 0.0490434i
\(243\) −39268.4 + 46798.3i −0.665014 + 0.792533i
\(244\) 13927.8 + 71149.0i 0.233940 + 1.19506i
\(245\) 67211.3 + 24462.9i 1.11972 + 0.407545i
\(246\) −31794.1 + 298.531i −0.525383 + 0.00493308i
\(247\) 61010.3 + 89939.2i 1.00002 + 1.47420i
\(248\) −44536.2 + 1254.81i −0.724118 + 0.0204021i
\(249\) 40915.4 + 14892.0i 0.659915 + 0.240189i
\(250\) −39987.1 + 7438.58i −0.639794 + 0.119017i
\(251\) −38142.4 + 45456.4i −0.605426 + 0.721519i −0.978492 0.206286i \(-0.933862\pi\)
0.373066 + 0.927805i \(0.378307\pi\)
\(252\) 14040.9 + 16109.0i 0.221102 + 0.253669i
\(253\) 9387.63 53239.9i 0.146661 0.831756i
\(254\) −19200.8 + 33989.8i −0.297613 + 0.526844i
\(255\) 5055.83 2918.98i 0.0777521 0.0448902i
\(256\) −59728.0 + 26972.9i −0.911377 + 0.411573i
\(257\) −79240.1 + 28841.0i −1.19972 + 0.436661i −0.863125 0.504990i \(-0.831496\pi\)
−0.336591 + 0.941651i \(0.609274\pi\)
\(258\) −24329.4 + 14352.8i −0.365503 + 0.215624i
\(259\) −36128.5 20858.8i −0.538580 0.310949i
\(260\) 29050.6 185005.i 0.429742 2.73675i
\(261\) 12831.7 10767.1i 0.188366 0.158058i
\(262\) 1017.06 + 837.266i 0.0148164 + 0.0121972i
\(263\) −73121.8 + 12893.3i −1.05715 + 0.186403i −0.675090 0.737735i \(-0.735895\pi\)
−0.382057 + 0.924139i \(0.624784\pi\)
\(264\) −11723.9 + 35272.0i −0.168215 + 0.506083i
\(265\) −36977.1 −0.526552
\(266\) 3166.63 34064.1i 0.0447543 0.481431i
\(267\) 13471.4i 0.188969i
\(268\) −25218.5 + 73556.3i −0.351115 + 1.02412i
\(269\) 20547.0 + 116528.i 0.283952 + 1.61037i 0.709006 + 0.705202i \(0.249144\pi\)
−0.425055 + 0.905168i \(0.639745\pi\)
\(270\) −81850.2 67381.1i −1.12277 0.924295i
\(271\) 15556.5 + 18539.5i 0.211823 + 0.252441i 0.861486 0.507782i \(-0.169534\pi\)
−0.649663 + 0.760223i \(0.725090\pi\)
\(272\) −1057.72 + 7673.60i −0.0142966 + 0.103720i
\(273\) −17697.7 + 30653.2i −0.237460 + 0.411293i
\(274\) 36048.5 21266.4i 0.480160 0.283264i
\(275\) −35485.4 97495.3i −0.469228 1.28919i
\(276\) 34224.9 13189.8i 0.449287 0.173149i
\(277\) 27314.3 + 47309.8i 0.355985 + 0.616583i 0.987286 0.158954i \(-0.0508123\pi\)
−0.631301 + 0.775538i \(0.717479\pi\)
\(278\) 68897.2 121964.i 0.891481 1.57813i
\(279\) 38648.1 + 6814.70i 0.496500 + 0.0875464i
\(280\) −44073.6 + 39149.5i −0.562164 + 0.499356i
\(281\) 38460.3 + 32272.0i 0.487080 + 0.408708i 0.852978 0.521946i \(-0.174794\pi\)
−0.365899 + 0.930655i \(0.619238\pi\)
\(282\) 60903.8 11329.6i 0.765854 0.142468i
\(283\) 47979.8 131823.i 0.599081 1.64596i −0.154030 0.988066i \(-0.549225\pi\)
0.753110 0.657894i \(-0.228553\pi\)
\(284\) −953.190 50753.8i −0.0118180 0.629263i
\(285\) 5041.68 + 69467.5i 0.0620706 + 0.855248i
\(286\) 140923. 1323.20i 1.72286 0.0161768i
\(287\) 12979.2 35660.2i 0.157574 0.432932i
\(288\) 56315.9 12680.8i 0.678963 0.152884i
\(289\) −63279.4 53097.7i −0.757647 0.635741i
\(290\) 30033.8 + 35117.9i 0.357120 + 0.417573i
\(291\) 31658.4 + 5582.23i 0.373855 + 0.0659207i
\(292\) 44027.8 79677.1i 0.516370 0.934475i
\(293\) 80090.6 + 138721.i 0.932924 + 1.61587i 0.778295 + 0.627898i \(0.216085\pi\)
0.154628 + 0.987973i \(0.450582\pi\)
\(294\) −34197.3 + 12811.7i −0.395637 + 0.148222i
\(295\) 70226.2 + 192945.i 0.806965 + 2.21712i
\(296\) −95970.2 + 59073.3i −1.09535 + 0.674230i
\(297\) 39891.2 69093.5i 0.452235 0.783293i
\(298\) 123518. + 20585.7i 1.39090 + 0.231810i
\(299\) −89391.3 106532.i −0.999892 1.19162i
\(300\) 44226.6 54763.6i 0.491407 0.608484i
\(301\) −5854.41 33202.0i −0.0646175 0.366464i
\(302\) −57535.4 20331.4i −0.630843 0.222923i
\(303\) 6201.17i 0.0675442i
\(304\) −76888.5 51272.6i −0.831982 0.554803i
\(305\) 176167. 1.89376
\(306\) 2273.31 6433.18i 0.0242782 0.0687042i
\(307\) −32878.2 + 5797.32i −0.348844 + 0.0615107i −0.345325 0.938483i \(-0.612231\pi\)
−0.00351926 + 0.999994i \(0.501120\pi\)
\(308\) −34513.3 27872.6i −0.363818 0.293817i
\(309\) 61255.6 51399.5i 0.641547 0.538322i
\(310\) −17797.6 + 106789.i −0.185199 + 1.11123i
\(311\) 28250.7 + 16310.6i 0.292085 + 0.168635i 0.638882 0.769305i \(-0.279397\pi\)
−0.346797 + 0.937940i \(0.612731\pi\)
\(312\) 50120.8 + 81426.0i 0.514884 + 0.836477i
\(313\) −160646. + 58470.3i −1.63976 + 0.596825i −0.986998 0.160736i \(-0.948613\pi\)
−0.652765 + 0.757560i \(0.726391\pi\)
\(314\) −1652.31 4410.39i −0.0167584 0.0447319i
\(315\) 44968.7 25962.7i 0.453199 0.261654i
\(316\) −166710. 92120.5i −1.66951 0.922534i
\(317\) 15459.2 87673.6i 0.153840 0.872469i −0.805999 0.591917i \(-0.798371\pi\)
0.959839 0.280552i \(-0.0905176\pi\)
\(318\) 14347.9 12270.7i 0.141884 0.121343i
\(319\) −22352.5 + 26638.7i −0.219657 + 0.261777i
\(320\) 36439.2 + 155021.i 0.355852 + 1.51388i
\(321\) −1657.42 603.253i −0.0160851 0.00585450i
\(322\) 411.025 + 43774.9i 0.00396421 + 0.422195i
\(323\) −9967.18 + 4469.19i −0.0955360 + 0.0428375i
\(324\) −18926.8 + 355.457i −0.180296 + 0.00338608i
\(325\) −250799. 91283.4i −2.37443 0.864221i
\(326\) −5111.18 27475.8i −0.0480934 0.258533i
\(327\) −18444.0 + 21980.7i −0.172488 + 0.205564i
\(328\) −68079.7 76642.6i −0.632805 0.712398i
\(329\) −12839.1 + 72814.1i −0.118616 + 0.672704i
\(330\) 78638.4 + 44422.7i 0.722115 + 0.407922i
\(331\) 51853.7 29937.7i 0.473286 0.273252i −0.244328 0.969693i \(-0.578567\pi\)
0.717614 + 0.696441i \(0.245234\pi\)
\(332\) 50482.5 + 130992.i 0.457999 + 1.18842i
\(333\) 93277.7 33950.3i 0.841181 0.306165i
\(334\) 79369.1 + 134538.i 0.711473 + 1.20601i
\(335\) 163634. + 94473.9i 1.45808 + 0.841826i
\(336\) 4109.88 29816.5i 0.0364041 0.264106i
\(337\) 12831.2 10766.7i 0.112982 0.0948028i −0.584547 0.811360i \(-0.698728\pi\)
0.697528 + 0.716557i \(0.254283\pi\)
\(338\) 157802. 191688.i 1.38127 1.67788i
\(339\) −4960.74 + 874.712i −0.0431665 + 0.00761142i
\(340\) 17805.1 + 6104.40i 0.154023 + 0.0528062i
\(341\) −81471.3 −0.700642
\(342\) 57247.1 + 57872.0i 0.489442 + 0.494784i
\(343\) 100470.i 0.853979i
\(344\) −86424.9 28726.5i −0.730335 0.242753i
\(345\) −15476.5 87771.4i −0.130027 0.737420i
\(346\) 108921. 132311.i 0.909832 1.10521i
\(347\) 107914. + 128606.i 0.896226 + 1.06808i 0.997317 + 0.0732032i \(0.0233222\pi\)
−0.101091 + 0.994877i \(0.532233\pi\)
\(348\) −23307.5 3659.89i −0.192458 0.0302210i
\(349\) 98334.6 170321.i 0.807338 1.39835i −0.107363 0.994220i \(-0.534241\pi\)
0.914701 0.404131i \(-0.132426\pi\)
\(350\) 42688.7 + 72361.4i 0.348480 + 0.590706i
\(351\) −70194.1 192857.i −0.569753 1.56538i
\(352\) −110565. + 46227.1i −0.892341 + 0.373088i
\(353\) −32945.0 57062.4i −0.264387 0.457932i 0.703016 0.711174i \(-0.251836\pi\)
−0.967403 + 0.253243i \(0.918503\pi\)
\(354\) −91277.2 51562.4i −0.728377 0.411459i
\(355\) −121475. 21419.3i −0.963895 0.169961i
\(356\) 32742.1 28538.5i 0.258348 0.225181i
\(357\) −2725.24 2286.74i −0.0213830 0.0179424i
\(358\) −12784.0 68722.3i −0.0997475 0.536206i
\(359\) 14555.9 39991.9i 0.112940 0.310301i −0.870326 0.492477i \(-0.836092\pi\)
0.983266 + 0.182176i \(0.0583139\pi\)
\(360\) −3950.52 140213.i −0.0304824 1.08189i
\(361\) 3861.46 130264.i 0.0296304 0.999561i
\(362\) 18.5648 + 1977.18i 0.000141668 + 0.0150879i
\(363\) 1603.65 4405.98i 0.0121701 0.0334372i
\(364\) −111994. + 21923.5i −0.845263 + 0.165465i
\(365\) −169449. 142185.i −1.27190 1.06725i
\(366\) −68356.5 + 58460.4i −0.510291 + 0.436415i
\(367\) 20643.8 + 3640.06i 0.153270 + 0.0270256i 0.249757 0.968309i \(-0.419649\pi\)
−0.0964866 + 0.995334i \(0.530760\pi\)
\(368\) 104561. + 55241.3i 0.772103 + 0.407913i
\(369\) 45148.2 + 78199.1i 0.331580 + 0.574313i
\(370\) 96069.3 + 256431.i 0.701748 + 1.87313i
\(371\) 7706.78 + 21174.2i 0.0559919 + 0.153837i
\(372\) −28531.6 47342.4i −0.206177 0.342109i
\(373\) −57283.3 + 99217.6i −0.411728 + 0.713134i −0.995079 0.0990864i \(-0.968408\pi\)
0.583351 + 0.812220i \(0.301741\pi\)
\(374\) −2328.59 + 13971.9i −0.0166475 + 0.0998880i
\(375\) −32435.5 38655.1i −0.230652 0.274881i
\(376\) 156558. + 124025.i 1.10739 + 0.877268i
\(377\) 15533.6 + 88095.3i 0.109292 + 0.619826i
\(378\) −21525.2 + 60913.5i −0.150648 + 0.426314i
\(379\) 74798.8i 0.520734i −0.965510 0.260367i \(-0.916156\pi\)
0.965510 0.260367i \(-0.0838436\pi\)
\(380\) −158159. + 159417.i −1.09529 + 1.10400i
\(381\) −48432.3 −0.333646
\(382\) −70415.8 24883.1i −0.482551 0.170521i
\(383\) −16740.0 + 2951.71i −0.114119 + 0.0201223i −0.230416 0.973092i \(-0.574009\pi\)
0.116297 + 0.993214i \(0.462898\pi\)
\(384\) −65582.4 48059.3i −0.444759 0.325923i
\(385\) −82577.5 + 69290.7i −0.557109 + 0.467470i
\(386\) 29589.9 + 4931.49i 0.198595 + 0.0330981i
\(387\) 69473.0 + 40110.3i 0.463868 + 0.267814i
\(388\) 53499.2 + 88771.0i 0.355373 + 0.589668i
\(389\) 143236. 52133.6i 0.946570 0.344523i 0.177813 0.984064i \(-0.443098\pi\)
0.768757 + 0.639541i \(0.220875\pi\)
\(390\) 217569. 81510.1i 1.43043 0.535898i
\(391\) 12105.0 6988.80i 0.0791789 0.0457140i
\(392\) −103584. 55975.2i −0.674094 0.364270i
\(393\) −283.804 + 1609.53i −0.00183752 + 0.0104211i
\(394\) −69536.6 81307.7i −0.447941 0.523768i
\(395\) −297497. + 354543.i −1.90673 + 2.27235i
\(396\) 103592. 20278.7i 0.660594 0.129315i
\(397\) −230420. 83866.1i −1.46197 0.532115i −0.516065 0.856549i \(-0.672604\pi\)
−0.945908 + 0.324435i \(0.894826\pi\)
\(398\) −63970.4 + 600.650i −0.403843 + 0.00379189i
\(399\) 38728.4 17365.5i 0.243267 0.109079i
\(400\) 226794. 8521.69i 1.41746 0.0532606i
\(401\) −17012.5 6192.06i −0.105799 0.0385076i 0.288578 0.957456i \(-0.406817\pi\)
−0.394377 + 0.918949i \(0.629040\pi\)
\(402\) −94844.1 + 17643.3i −0.586892 + 0.109176i
\(403\) −134715. + 160547.i −0.829477 + 0.988532i
\(404\) 15071.9 13136.9i 0.0923430 0.0804876i
\(405\) −7987.54 + 45299.6i −0.0486971 + 0.276175i
\(406\) 13849.9 24517.5i 0.0840224 0.148739i
\(407\) −178464. + 103036.i −1.07736 + 0.622016i
\(408\) −8934.47 + 3539.91i −0.0536721 + 0.0212653i
\(409\) 9158.84 3333.54i 0.0547512 0.0199278i −0.314499 0.949258i \(-0.601837\pi\)
0.369251 + 0.929330i \(0.379614\pi\)
\(410\) −214546. + 126569.i −1.27630 + 0.752937i
\(411\) 44968.9 + 25962.8i 0.266213 + 0.153698i
\(412\) 254693. + 39993.5i 1.50045 + 0.235610i
\(413\) 95849.5 80427.2i 0.561939 0.471523i
\(414\) −80419.3 66203.1i −0.469202 0.386258i
\(415\) 335936. 59234.6i 1.95056 0.343937i
\(416\) −91726.3 + 294315.i −0.530038 + 1.70069i
\(417\) 173787. 0.999414
\(418\) −137902. 97680.0i −0.789257 0.559053i
\(419\) 93286.4i 0.531362i −0.964061 0.265681i \(-0.914403\pi\)
0.964061 0.265681i \(-0.0855968\pi\)
\(420\) −69183.3 23719.2i −0.392196 0.134463i
\(421\) 8954.96 + 50786.1i 0.0505242 + 0.286537i 0.999593 0.0285323i \(-0.00908336\pi\)
−0.949069 + 0.315069i \(0.897972\pi\)
\(422\) 123453. + 101630.i 0.693232 + 0.570685i
\(423\) −113085. 134769.i −0.632010 0.753200i
\(424\) 60219.1 + 8877.47i 0.334968 + 0.0493808i
\(425\) 13412.6 23231.4i 0.0742569 0.128617i
\(426\) 54242.7 31999.8i 0.298898 0.176331i
\(427\) −36716.8 100879.i −0.201377 0.553278i
\(428\) −2044.97 5306.31i −0.0111635 0.0289671i
\(429\) 87421.3 + 151418.i 0.475010 + 0.822741i
\(430\) −108846. + 192683.i −0.588677 + 1.04209i
\(431\) −55135.1 9721.81i −0.296807 0.0523351i 0.0232618 0.999729i \(-0.492595\pi\)
−0.320069 + 0.947394i \(0.603706\pi\)
\(432\) 117120. + 129384.i 0.627575 + 0.693288i
\(433\) −97838.5 82096.3i −0.521836 0.437872i 0.343435 0.939176i \(-0.388409\pi\)
−0.865271 + 0.501304i \(0.832854\pi\)
\(434\) 64859.9 12065.5i 0.344347 0.0640570i
\(435\) −19607.7 + 53871.7i −0.103621 + 0.284696i
\(436\) −92496.6 + 1737.15i −0.486578 + 0.00913827i
\(437\) 12071.1 + 166323.i 0.0632097 + 0.870943i
\(438\) 112933. 1060.39i 0.588673 0.00552734i
\(439\) 89502.3 245906.i 0.464414 1.27597i −0.457720 0.889096i \(-0.651334\pi\)
0.922134 0.386870i \(-0.126444\pi\)
\(440\) 58622.8 + 285237.i 0.302804 + 1.47333i
\(441\) 79446.0 + 66663.1i 0.408502 + 0.342774i
\(442\) 23682.6 + 27691.6i 0.121223 + 0.141744i
\(443\) 165681. + 29214.0i 0.844237 + 0.148862i 0.579006 0.815323i \(-0.303441\pi\)
0.265231 + 0.964185i \(0.414552\pi\)
\(444\) −122373. 67620.4i −0.620752 0.343014i
\(445\) −52770.0 91400.3i −0.266481 0.461559i
\(446\) −192892. + 72265.1i −0.969716 + 0.363294i
\(447\) 53134.4 + 145986.i 0.265926 + 0.730626i
\(448\) 81175.2 53175.8i 0.404452 0.264946i
\(449\) 147473. 255431.i 0.731509 1.26701i −0.224729 0.974421i \(-0.572150\pi\)
0.956238 0.292590i \(-0.0945170\pi\)
\(450\) −197188. 32863.6i −0.973767 0.162290i
\(451\) −120494. 143600.i −0.592398 0.705993i
\(452\) −12635.1 10204.0i −0.0618444 0.0499450i
\(453\) −13146.3 74556.2i −0.0640628 0.363318i
\(454\) −227004. 80217.2i −1.10134 0.389185i
\(455\) 277300.i 1.33945i
\(456\) 8467.13 114342.i 0.0407199 0.549890i
\(457\) 310018. 1.48441 0.742207 0.670171i \(-0.233779\pi\)
0.742207 + 0.670171i \(0.233779\pi\)
\(458\) −14662.2 + 41492.2i −0.0698987 + 0.197804i
\(459\) 20314.4 3581.98i 0.0964227 0.0170019i
\(460\) 180541. 223555.i 0.853219 1.05650i
\(461\) −188647. + 158294.i −0.887665 + 0.744839i −0.967740 0.251949i \(-0.918928\pi\)
0.0800753 + 0.996789i \(0.474484\pi\)
\(462\) 9047.94 54289.3i 0.0423902 0.254349i
\(463\) −323774. 186931.i −1.51036 0.872006i −0.999927 0.0120882i \(-0.996152\pi\)
−0.510432 0.859918i \(-0.670515\pi\)
\(464\) −40480.5 64401.8i −0.188022 0.299132i
\(465\) −126214. + 45938.0i −0.583714 + 0.212455i
\(466\) −12761.4 34063.2i −0.0587662 0.156860i
\(467\) 107744. 62206.3i 0.494039 0.285233i −0.232210 0.972666i \(-0.574596\pi\)
0.726248 + 0.687432i \(0.241262\pi\)
\(468\) 131330. 237668.i 0.599615 1.08512i
\(469\) 19994.0 113392.i 0.0908981 0.515509i
\(470\) 368838. 315440.i 1.66970 1.42798i
\(471\) 3755.87 4476.07i 0.0169304 0.0201769i
\(472\) −68044.7 331080.i −0.305429 1.48611i
\(473\) −156495. 56959.4i −0.699484 0.254591i
\(474\) −2218.68 236293.i −0.00987501 1.05171i
\(475\) 179663. + 264853.i 0.796292 + 1.17386i
\(476\) −215.377 11468.0i −0.000950572 0.0506144i
\(477\) −50382.6 18337.8i −0.221434 0.0805952i
\(478\) 32611.6 + 175308.i 0.142730 + 0.767266i
\(479\) −171258. + 204098.i −0.746416 + 0.889543i −0.996908 0.0785750i \(-0.974963\pi\)
0.250493 + 0.968119i \(0.419407\pi\)
\(480\) −145219. + 133956.i −0.630291 + 0.581408i
\(481\) −92051.9 + 522052.i −0.397871 + 2.25644i
\(482\) 340139. + 192144.i 1.46407 + 0.827053i
\(483\) −47034.9 + 27155.6i −0.201617 + 0.116403i
\(484\) 14105.9 5436.22i 0.0602159 0.0232063i
\(485\) 236661. 86137.7i 1.00611 0.366193i
\(486\) −124163. 210468.i −0.525679 0.891075i
\(487\) 300803. + 173669.i 1.26831 + 0.732258i 0.974668 0.223658i \(-0.0717999\pi\)
0.293640 + 0.955916i \(0.405133\pi\)
\(488\) −286897. 42294.2i −1.20472 0.177599i
\(489\) 26560.6 22287.0i 0.111076 0.0932038i
\(490\) −181835. + 220882.i −0.757330 + 0.919956i
\(491\) 114383. 20168.7i 0.474457 0.0836596i 0.0686938 0.997638i \(-0.478117\pi\)
0.405763 + 0.913978i \(0.367006\pi\)
\(492\) 41247.0 120308.i 0.170397 0.497007i
\(493\) −8990.95 −0.0369923
\(494\) −420511. + 110233.i −1.72315 + 0.451707i
\(495\) 256496.i 1.04682i
\(496\) 54622.2 169638.i 0.222027 0.689541i
\(497\) 13052.5 + 74024.4i 0.0528422 + 0.299683i
\(498\) −110693. + 134463.i −0.446338 + 0.542182i
\(499\) −183336. 218492.i −0.736287 0.877472i 0.259817 0.965658i \(-0.416338\pi\)
−0.996104 + 0.0881854i \(0.971893\pi\)
\(500\) 25237.7 160723.i 0.100951 0.642892i
\(501\) −96897.0 + 167830.i −0.386042 + 0.668645i
\(502\) −120603. 204433.i −0.478576 0.811231i
\(503\) −22971.0 63112.4i −0.0907913 0.249447i 0.885983 0.463718i \(-0.153485\pi\)
−0.976774 + 0.214271i \(0.931263\pi\)
\(504\) −79466.9 + 31485.5i −0.312842 + 0.123951i
\(505\) −24291.1 42073.5i −0.0952500 0.164978i
\(506\) 188280. + 106359.i 0.735367 + 0.415408i
\(507\) 303354. + 53489.4i 1.18014 + 0.208090i
\(508\) −102602. 117714.i −0.397582 0.456143i
\(509\) 259151. + 217453.i 1.00027 + 0.839326i 0.987022 0.160587i \(-0.0513386\pi\)
0.0132475 + 0.999912i \(0.495783\pi\)
\(510\) 4270.75 + 22958.0i 0.0164197 + 0.0882661i
\(511\) −46102.6 + 126666.i −0.176556 + 0.485085i
\(512\) −22125.6 261209.i −0.0844025 0.996432i
\(513\) −67211.0 + 236746.i −0.255391 + 0.899597i
\(514\) −3166.96 337287.i −0.0119872 1.27666i
\(515\) 214263. 588683.i 0.807854 2.21956i
\(516\) −21706.5 110885.i −0.0815248 0.416461i
\(517\) 279782. + 234765.i 1.04674 + 0.878319i
\(518\) 126817. 108458.i 0.472627 0.404204i
\(519\) 209387. + 36920.6i 0.777347 + 0.137067i
\(520\) 659019. + 356124.i 2.43720 + 1.31703i
\(521\) −50088.6 86756.0i −0.184528 0.319613i 0.758889 0.651220i \(-0.225742\pi\)
−0.943418 + 0.331607i \(0.892409\pi\)
\(522\) 23506.3 + 62743.7i 0.0862668 + 0.230266i
\(523\) −16769.8 46074.8i −0.0613092 0.168446i 0.905256 0.424866i \(-0.139679\pi\)
−0.966565 + 0.256421i \(0.917457\pi\)
\(524\) −4513.17 + 2719.93i −0.0164369 + 0.00990593i
\(525\) −52116.1 + 90267.8i −0.189083 + 0.327502i
\(526\) 48824.9 292958.i 0.176470 1.05885i
\(527\) −13540.0 16136.4i −0.0487526 0.0581011i
\(528\) −117402. 91224.2i −0.421120 0.327222i
\(529\) 11539.3 + 65442.4i 0.0412351 + 0.233856i
\(530\) 49280.5 139457.i 0.175438 0.496466i
\(531\) 297720.i 1.05589i
\(532\) 124251. + 57341.0i 0.439012 + 0.202601i
\(533\) −482216. −1.69741
\(534\) 50806.7 + 17953.7i 0.178172 + 0.0629610i
\(535\) −13608.3 + 2399.51i −0.0475440 + 0.00838329i
\(536\) −243804. 193141.i −0.848618 0.672271i
\(537\) 66433.2 55744.0i 0.230375 0.193308i
\(538\) −466863. 77808.1i −1.61296 0.268819i
\(539\) −186456. 107651.i −0.641799 0.370543i
\(540\) 363209. 218893.i 1.24557 0.750663i
\(541\) 65411.4 23807.8i 0.223490 0.0813439i −0.227848 0.973697i \(-0.573169\pi\)
0.451338 + 0.892353i \(0.350947\pi\)
\(542\) −90653.5 + 33962.4i −0.308593 + 0.115611i
\(543\) −2124.43 + 1226.54i −0.00720514 + 0.00415989i
\(544\) −27530.9 14216.0i −0.0930301 0.0480373i
\(545\) −39035.7 + 221383.i −0.131422 + 0.745334i
\(546\) −92021.0 107598.i −0.308675 0.360928i
\(547\) 262295. 312591.i 0.876628 1.04473i −0.122008 0.992529i \(-0.538934\pi\)
0.998637 0.0521960i \(-0.0166220\pi\)
\(548\) 32162.2 + 164297.i 0.107099 + 0.547103i
\(549\) 240033. + 87365.0i 0.796392 + 0.289863i
\(550\) 414991. 3896.56i 1.37187 0.0128812i
\(551\) 46768.5 96534.6i 0.154046 0.317965i
\(552\) 4132.05 + 146656.i 0.0135609 + 0.481306i
\(553\) 265026. + 96461.7i 0.866641 + 0.315431i
\(554\) −214829. + 39963.5i −0.699961 + 0.130210i
\(555\) −218375. + 260250.i −0.708953 + 0.844897i
\(556\) 368159. + 422387.i 1.19093 + 1.36635i
\(557\) 64827.9 367657.i 0.208954 1.18504i −0.682140 0.731221i \(-0.738951\pi\)
0.891095 0.453818i \(-0.149938\pi\)
\(558\) −77208.7 + 136677.i −0.247969 + 0.438963i
\(559\) −371011. + 214203.i −1.18731 + 0.685492i
\(560\) −88912.2 218397.i −0.283521 0.696420i
\(561\) −16513.4 + 6010.40i −0.0524701 + 0.0190975i
\(562\) −172969. + 102041.i −0.547642 + 0.323075i
\(563\) −265366. 153209.i −0.837198 0.483356i 0.0191128 0.999817i \(-0.493916\pi\)
−0.856311 + 0.516461i \(0.827249\pi\)
\(564\) −38439.2 + 244795.i −0.120842 + 0.769563i
\(565\) −30231.0 + 25366.8i −0.0947013 + 0.0794638i
\(566\) 433221. + 356638.i 1.35231 + 1.11326i
\(567\) 27604.7 4867.45i 0.0858651 0.0151403i
\(568\) 192686. + 64046.2i 0.597246 + 0.198516i
\(569\) 397666. 1.22827 0.614136 0.789201i \(-0.289505\pi\)
0.614136 + 0.789201i \(0.289505\pi\)
\(570\) −268712. 73566.9i −0.827062 0.226429i
\(571\) 179062.i 0.549202i 0.961558 + 0.274601i \(0.0885458\pi\)
−0.961558 + 0.274601i \(0.911454\pi\)
\(572\) −182822. + 533248.i −0.558774 + 1.62981i
\(573\) −16089.3 91247.1i −0.0490037 0.277914i
\(574\) 117193. + 96475.9i 0.355694 + 0.292816i
\(575\) −263240. 313717.i −0.796189 0.948861i
\(576\) −27228.8 + 229293.i −0.0820697 + 0.691107i
\(577\) 259264. 449058.i 0.778736 1.34881i −0.153934 0.988081i \(-0.549194\pi\)
0.932670 0.360730i \(-0.117472\pi\)
\(578\) 284590. 167890.i 0.851851 0.502539i
\(579\) 12728.9 + 34972.2i 0.0379693 + 0.104320i
\(580\) −172472. + 66468.3i −0.512700 + 0.197587i
\(581\) −103935. 180021.i −0.307901 0.533300i
\(582\) −63245.1 + 111958.i −0.186716 + 0.330530i
\(583\) 109616. + 19328.3i 0.322506 + 0.0568664i
\(584\) 241821. + 272237.i 0.709036 + 0.798216i
\(585\) −505448. 424122.i −1.47695 1.23931i
\(586\) −629918. + 117180.i −1.83438 + 0.341239i
\(587\) −147594. + 405510.i −0.428343 + 1.17686i 0.518475 + 0.855092i \(0.326500\pi\)
−0.946818 + 0.321769i \(0.895722\pi\)
\(588\) −2742.88 146048.i −0.00793326 0.422417i
\(589\) 243685. 61440.3i 0.702423 0.177102i
\(590\) −821274. + 7711.36i −2.35930 + 0.0221527i
\(591\) 45397.2 124728.i 0.129973 0.357099i
\(592\) −94889.8 440675.i −0.270755 1.25741i
\(593\) −148960. 124992.i −0.423605 0.355447i 0.405928 0.913905i \(-0.366948\pi\)
−0.829532 + 0.558459i \(0.811393\pi\)
\(594\) 207419. + 242530.i 0.587861 + 0.687374i
\(595\) −27447.7 4839.77i −0.0775304 0.0136707i
\(596\) −242253. + 438406.i −0.681989 + 1.23420i
\(597\) −39683.9 68734.4i −0.111344 0.192853i
\(598\) 520916. 195156.i 1.45668 0.545732i
\(599\) 7385.35 + 20291.1i 0.0205834 + 0.0565525i 0.949559 0.313589i \(-0.101531\pi\)
−0.928975 + 0.370141i \(0.879309\pi\)
\(600\) 147596. + 239784.i 0.409989 + 0.666065i
\(601\) −228867. + 396410.i −0.633629 + 1.09748i 0.353175 + 0.935557i \(0.385102\pi\)
−0.986804 + 0.161920i \(0.948231\pi\)
\(602\) 133022. + 22169.6i 0.367054 + 0.0611738i
\(603\) 176105. + 209873.i 0.484324 + 0.577195i
\(604\) 153358. 189895.i 0.420371 0.520524i
\(605\) −6378.69 36175.3i −0.0174269 0.0988330i
\(606\) 23387.4 + 8264.47i 0.0636849 + 0.0225045i
\(607\) 298537.i 0.810253i 0.914261 + 0.405126i \(0.132772\pi\)
−0.914261 + 0.405126i \(0.867228\pi\)
\(608\) 295844. 221648.i 0.800304 0.599594i
\(609\) 34935.2 0.0941951
\(610\) −234783. + 664405.i −0.630967 + 1.78555i
\(611\) 925251. 163147.i 2.47843 0.437014i
\(612\) 21232.7 + 17147.4i 0.0566895 + 0.0457820i
\(613\) 142307. 119410.i 0.378709 0.317775i −0.433486 0.901160i \(-0.642717\pi\)
0.812196 + 0.583385i \(0.198272\pi\)
\(614\) 21953.5 131725.i 0.0582326 0.349406i
\(615\) −267637. 154520.i −0.707612 0.408540i
\(616\) 151117. 93018.3i 0.398247 0.245136i
\(617\) −375048. + 136506.i −0.985181 + 0.358577i −0.783852 0.620947i \(-0.786748\pi\)
−0.201329 + 0.979524i \(0.564526\pi\)
\(618\) 112214. + 299524.i 0.293811 + 0.784250i
\(619\) −547254. + 315957.i −1.42826 + 0.824607i −0.996984 0.0776117i \(-0.975271\pi\)
−0.431278 + 0.902219i \(0.641937\pi\)
\(620\) −379029. 209443.i −0.986028 0.544857i
\(621\) 54684.4 310131.i 0.141801 0.804195i
\(622\) −99165.0 + 84808.6i −0.256317 + 0.219209i
\(623\) −41340.2 + 49267.4i −0.106512 + 0.126936i
\(624\) −373892. + 80509.4i −0.960233 + 0.206765i
\(625\) 149185. + 54299.0i 0.381915 + 0.139006i
\(626\) −6420.48 683793.i −0.0163840 1.74492i
\(627\) 21365.6 208567.i 0.0543475 0.530531i
\(628\) 18835.6 353.746i 0.0477596 0.000896958i
\(629\) −50067.1 18222.9i −0.126547 0.0460593i
\(630\) 37985.9 + 204198.i 0.0957064 + 0.514483i
\(631\) −245651. + 292756.i −0.616965 + 0.735270i −0.980545 0.196292i \(-0.937110\pi\)
0.363580 + 0.931563i \(0.381554\pi\)
\(632\) 569608. 505969.i 1.42607 1.26675i
\(633\) −34449.0 + 195370.i −0.0859743 + 0.487584i
\(634\) 310054. + 175149.i 0.771362 + 0.435741i
\(635\) −328602. + 189718.i −0.814934 + 0.470503i
\(636\) 27156.5 + 70465.9i 0.0671367 + 0.174207i
\(637\) −520444. + 189426.i −1.28261 + 0.466833i
\(638\) −70676.6 119804.i −0.173634 0.294326i
\(639\) −154891. 89426.6i −0.379337 0.219010i
\(640\) −633219. 69172.7i −1.54594 0.168879i
\(641\) −330465. + 277293.i −0.804283 + 0.674874i −0.949236 0.314565i \(-0.898141\pi\)
0.144953 + 0.989439i \(0.453697\pi\)
\(642\) 4484.04 5446.92i 0.0108793 0.0132154i
\(643\) 638465. 112579.i 1.54424 0.272291i 0.664333 0.747437i \(-0.268716\pi\)
0.879907 + 0.475145i \(0.157605\pi\)
\(644\) −165643. 56789.9i −0.399393 0.136930i
\(645\) −274555. −0.659949
\(646\) −3571.79 43546.9i −0.00855895 0.104350i
\(647\) 157148.i 0.375405i 0.982226 + 0.187703i \(0.0601041\pi\)
−0.982226 + 0.187703i \(0.939896\pi\)
\(648\) 23883.7 71855.1i 0.0568788 0.171123i
\(649\) −107327. 608679.i −0.254811 1.44510i
\(650\) 678518. 824220.i 1.60596 1.95082i
\(651\) 52611.0 + 62699.3i 0.124141 + 0.147945i
\(652\) 110436. + 17341.3i 0.259785 + 0.0407930i
\(653\) −264861. + 458753.i −0.621144 + 1.07585i 0.368129 + 0.929775i \(0.379998\pi\)
−0.989273 + 0.146078i \(0.953335\pi\)
\(654\) −58318.3 98855.0i −0.136348 0.231123i
\(655\) 4379.29 + 12032.0i 0.0102075 + 0.0280450i
\(656\) 379786. 154615.i 0.882533 0.359290i
\(657\) −160368. 277765.i −0.371523 0.643497i
\(658\) −257504. 145464.i −0.594747 0.335971i
\(659\) 334544. + 58989.1i 0.770339 + 0.135832i 0.544986 0.838445i \(-0.316535\pi\)
0.225354 + 0.974277i \(0.427646\pi\)
\(660\) −272342. + 237377.i −0.625210 + 0.544943i
\(661\) 221144. + 185562.i 0.506142 + 0.424704i 0.859769 0.510683i \(-0.170607\pi\)
−0.353627 + 0.935387i \(0.615052\pi\)
\(662\) 43801.8 + 235462.i 0.0999483 + 0.537286i
\(663\) −15461.3 + 42479.5i −0.0351737 + 0.0966390i
\(664\) −561310. + 15815.0i −1.27311 + 0.0358701i
\(665\) 194739. 269527.i 0.440363 0.609479i
\(666\) 3728.00 + 397039.i 0.00840479 + 0.895126i
\(667\) −46945.8 + 128983.i −0.105523 + 0.289921i
\(668\) −613181. + 120034.i −1.37416 + 0.268999i
\(669\) −195764. 164266.i −0.437403 0.367025i
\(670\) −574383. + 491228.i −1.27953 + 1.09429i
\(671\) −522235. 92084.1i −1.15990 0.204522i
\(672\) 106974. + 55237.5i 0.236886 + 0.122320i
\(673\) −195473. 338569.i −0.431575 0.747511i 0.565434 0.824794i \(-0.308709\pi\)
−0.997009 + 0.0772831i \(0.975375\pi\)
\(674\) 23505.4 + 62741.3i 0.0517426 + 0.138113i
\(675\) −206708. 567925.i −0.453680 1.24647i
\(676\) 512634. + 850612.i 1.12180 + 1.86139i
\(677\) 165503. 286660.i 0.361101 0.625446i −0.627041 0.778986i \(-0.715734\pi\)
0.988142 + 0.153540i \(0.0490675\pi\)
\(678\) 3312.38 19874.9i 0.00720579 0.0432360i
\(679\) −98650.1 117567.i −0.213972 0.255002i
\(680\) −46751.8 + 59015.4i −0.101107 + 0.127629i
\(681\) −51868.2 294159.i −0.111843 0.634291i
\(682\) 108579. 307265.i 0.233441 0.660609i
\(683\) 456430.i 0.978436i 0.872162 + 0.489218i \(0.162718\pi\)
−0.872162 + 0.489218i \(0.837282\pi\)
\(684\) −294556. + 138777.i −0.629587 + 0.296623i
\(685\) 406805. 0.866971
\(686\) 378917. + 133899.i 0.805185 + 0.284531i
\(687\) −53767.0 + 9480.57i −0.113921 + 0.0200873i
\(688\) 223521. 287663.i 0.472218 0.607724i
\(689\) 219341. 184049.i 0.462041 0.387699i
\(690\) 351651. + 58606.7i 0.738608 + 0.123098i
\(691\) −603659. 348523.i −1.26426 0.729920i −0.290363 0.956917i \(-0.593776\pi\)
−0.973895 + 0.226997i \(0.927109\pi\)
\(692\) 353841. + 587126.i 0.738917 + 1.22608i
\(693\) −146877. + 53459.0i −0.305836 + 0.111315i
\(694\) −628853. + 235593.i −1.30566 + 0.489152i
\(695\) 1.17910e6 680756.i 2.44108 1.40936i
\(696\) 44865.7 83025.4i 0.0926180 0.171393i
\(697\) 8416.20 47730.7i 0.0173241 0.0982498i
\(698\) 511302. + 597855.i 1.04946 + 1.22711i
\(699\) 29008.0 34570.4i 0.0593696 0.0707539i
\(700\) −329800. + 64560.3i −0.673061 + 0.131756i
\(701\) 520077. + 189293.i 1.05836 + 0.385210i 0.811811 0.583921i \(-0.198482\pi\)
0.246546 + 0.969131i \(0.420704\pi\)
\(702\) 820899. 7707.84i 1.66577 0.0156408i
\(703\) 456093. 442773.i 0.922875 0.895923i
\(704\) −26990.5 478597.i −0.0544585 0.965661i
\(705\) 565806. + 205936.i 1.13838 + 0.414338i
\(706\) 259115. 48201.7i 0.519855 0.0967058i
\(707\) −19029.8 + 22678.8i −0.0380710 + 0.0453713i
\(708\) 316113. 275529.i 0.630631 0.549668i
\(709\) 159422. 904128.i 0.317144 1.79861i −0.242795 0.970078i \(-0.578064\pi\)
0.559939 0.828534i \(-0.310825\pi\)
\(710\) 242675. 429590.i 0.481402 0.852193i
\(711\) −581175. + 335542.i −1.14966 + 0.663754i
\(712\) 63995.2 + 161519.i 0.126237 + 0.318613i
\(713\) −302188. + 109987.i −0.594426 + 0.216353i
\(714\) 12256.3 7230.48i 0.0240417 0.0141831i
\(715\) 1.18627e6 + 684891.i 2.32044 + 1.33971i
\(716\) 276221. + 43373.9i 0.538803 + 0.0846062i
\(717\) −169468. + 142201.i −0.329648 + 0.276607i
\(718\) 131429. + 108195.i 0.254942 + 0.209874i
\(719\) 145095. 25584.2i 0.280670 0.0494896i −0.0315413 0.999502i \(-0.510042\pi\)
0.312211 + 0.950013i \(0.398930\pi\)
\(720\) 534072. + 171967.i 1.03023 + 0.331726i
\(721\) −381755. −0.734368
\(722\) 486137. + 188170.i 0.932576 + 0.360973i
\(723\) 484667.i 0.927185i
\(724\) −7481.58 2565.03i −0.0142730 0.00489345i
\(725\) 45743.3 + 259423.i 0.0870265 + 0.493552i
\(726\) 14479.7 + 11920.1i 0.0274718 + 0.0226154i
\(727\) −155640. 185484.i −0.294478 0.350945i 0.598438 0.801169i \(-0.295788\pi\)
−0.892915 + 0.450225i \(0.851344\pi\)
\(728\) 66574.3 451598.i 0.125616 0.852096i
\(729\) 103667. 179556.i 0.195067 0.337866i
\(730\) 762072. 449575.i 1.43005 0.843639i
\(731\) −14726.9 40461.9i −0.0275599 0.0757202i
\(732\) −129380. 335715.i −0.241459 0.626540i
\(733\) 277165. + 480063.i 0.515857 + 0.893491i 0.999831 + 0.0184085i \(0.00585993\pi\)
−0.483973 + 0.875083i \(0.660807\pi\)
\(734\) −41240.9 + 73005.8i −0.0765483 + 0.135508i
\(735\) −349553. 61635.7i −0.647051 0.114093i
\(736\) −347692. + 320726.i −0.641857 + 0.592078i
\(737\) −435698. 365594.i −0.802141 0.673076i
\(738\) −355094. + 66056.2i −0.651975 + 0.121283i
\(739\) 332561. 913705.i 0.608952 1.67308i −0.123568 0.992336i \(-0.539434\pi\)
0.732520 0.680746i \(-0.238344\pi\)
\(740\) −1.09515e6 + 20567.7i −1.99991 + 0.0375596i
\(741\) −375672. 386973.i −0.684182 0.704764i
\(742\) −90128.5 + 846.262i −0.163702 + 0.00153708i
\(743\) 88016.6 241824.i 0.159436 0.438048i −0.834093 0.551624i \(-0.814008\pi\)
0.993529 + 0.113576i \(0.0362306\pi\)
\(744\) 216574. 44511.0i 0.391256 0.0804122i
\(745\) 932357. + 782341.i 1.67985 + 1.40956i
\(746\) −297851. 348271.i −0.535207 0.625806i
\(747\) 487100. + 85888.8i 0.872925 + 0.153920i
\(748\) −49591.1 27402.9i −0.0886340 0.0489772i
\(749\) 4210.28 + 7292.41i 0.00750493 + 0.0129989i
\(750\) 189013. 70812.0i 0.336024 0.125888i
\(751\) −39852.0 109492.i −0.0706594 0.194135i 0.899336 0.437258i \(-0.144050\pi\)
−0.969995 + 0.243123i \(0.921828\pi\)
\(752\) −676402. + 425160.i −1.19611 + 0.751825i
\(753\) 147237. 255022.i 0.259673 0.449767i
\(754\) −352949. 58823.0i −0.620825 0.103468i
\(755\) −381245. 454350.i −0.668821 0.797070i
\(756\) −201045. 162362.i −0.351763 0.284081i
\(757\) 109402. + 620449.i 0.190912 + 1.08272i 0.918121 + 0.396299i \(0.129706\pi\)
−0.727209 + 0.686416i \(0.759183\pi\)
\(758\) 282100. + 99686.5i 0.490981 + 0.173499i
\(759\) 268282.i 0.465702i
\(760\) −390451. 808950.i −0.675988 1.40054i
\(761\) −323256. −0.558183 −0.279092 0.960265i \(-0.590033\pi\)
−0.279092 + 0.960265i \(0.590033\pi\)
\(762\) 64547.2 182660.i 0.111165 0.314582i
\(763\) 134906. 23787.6i 0.231730 0.0408603i
\(764\) 187690. 232407.i 0.321555 0.398165i
\(765\) 50802.1 42628.0i 0.0868077 0.0728403i
\(766\) 11177.6 67067.9i 0.0190499 0.114303i
\(767\) −1.37692e6 794967.i −2.34056 1.35132i
\(768\) 268657. 183291.i 0.455487 0.310755i
\(769\) 222695. 81054.2i 0.376580 0.137064i −0.146794 0.989167i \(-0.546895\pi\)
0.523374 + 0.852103i \(0.324673\pi\)
\(770\) −151273. 403783.i −0.255141 0.681030i