Properties

Label 43.6.c.a.6.11
Level $43$
Weight $6$
Character 43.6
Analytic conductor $6.897$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 6.11
Character \(\chi\) \(=\) 43.6
Dual form 43.6.c.a.36.11

$q$-expansion

\(f(q)\) \(=\) \(q+3.69441 q^{2} +(-11.8232 + 20.4784i) q^{3} -18.3513 q^{4} +(21.7696 - 37.7061i) q^{5} +(-43.6798 + 75.6556i) q^{6} +(-19.0405 - 32.9792i) q^{7} -186.018 q^{8} +(-158.077 - 273.797i) q^{9} +O(q^{10})\) \(q+3.69441 q^{2} +(-11.8232 + 20.4784i) q^{3} -18.3513 q^{4} +(21.7696 - 37.7061i) q^{5} +(-43.6798 + 75.6556i) q^{6} +(-19.0405 - 32.9792i) q^{7} -186.018 q^{8} +(-158.077 - 273.797i) q^{9} +(80.4259 - 139.302i) q^{10} -444.024 q^{11} +(216.972 - 375.806i) q^{12} +(-340.030 - 588.949i) q^{13} +(-70.3435 - 121.839i) q^{14} +(514.774 + 891.614i) q^{15} -99.9855 q^{16} +(541.066 + 937.154i) q^{17} +(-584.001 - 1011.52i) q^{18} +(-1273.64 + 2206.01i) q^{19} +(-399.502 + 691.957i) q^{20} +900.481 q^{21} -1640.41 q^{22} +(498.242 - 862.980i) q^{23} +(2199.34 - 3809.36i) q^{24} +(614.667 + 1064.64i) q^{25} +(-1256.21 - 2175.82i) q^{26} +1729.82 q^{27} +(349.419 + 605.212i) q^{28} +(-2082.57 - 3607.12i) q^{29} +(1901.79 + 3293.99i) q^{30} +(-3780.97 + 6548.83i) q^{31} +5583.20 q^{32} +(5249.79 - 9092.90i) q^{33} +(1998.92 + 3462.23i) q^{34} -1658.02 q^{35} +(2900.92 + 5024.54i) q^{36} +(-2346.41 + 4064.10i) q^{37} +(-4705.35 + 8149.91i) q^{38} +16081.0 q^{39} +(-4049.55 + 7014.03i) q^{40} -6616.86 q^{41} +3326.75 q^{42} +(4133.94 - 11398.2i) q^{43} +8148.43 q^{44} -13765.1 q^{45} +(1840.71 - 3188.20i) q^{46} -7398.21 q^{47} +(1182.15 - 2047.54i) q^{48} +(7678.42 - 13299.4i) q^{49} +(2270.83 + 3933.20i) q^{50} -25588.6 q^{51} +(6240.01 + 10808.0i) q^{52} +(3274.53 - 5671.65i) q^{53} +6390.67 q^{54} +(-9666.23 + 16742.4i) q^{55} +(3541.89 + 6134.73i) q^{56} +(-30117.1 - 52164.3i) q^{57} +(-7693.88 - 13326.2i) q^{58} -1878.83 q^{59} +(-9446.79 - 16362.3i) q^{60} +(-19325.7 - 33473.1i) q^{61} +(-13968.4 + 24194.1i) q^{62} +(-6019.73 + 10426.5i) q^{63} +23826.2 q^{64} -29609.3 q^{65} +(19394.9 - 33592.9i) q^{66} +(-15940.9 + 27610.4i) q^{67} +(-9929.29 - 17198.0i) q^{68} +(11781.6 + 20406.4i) q^{69} -6125.41 q^{70} +(39102.4 + 67727.4i) q^{71} +(29405.2 + 50931.3i) q^{72} +(28466.6 + 49305.5i) q^{73} +(-8668.60 + 15014.5i) q^{74} -29069.4 q^{75} +(23373.0 - 40483.3i) q^{76} +(8454.45 + 14643.5i) q^{77} +59409.8 q^{78} +(-19866.1 - 34409.1i) q^{79} +(-2176.65 + 3770.06i) q^{80} +(17960.6 - 31108.7i) q^{81} -24445.4 q^{82} +(20440.0 - 35403.1i) q^{83} -16525.0 q^{84} +47115.2 q^{85} +(15272.5 - 42109.6i) q^{86} +98490.8 q^{87} +82596.6 q^{88} +(1444.66 - 2502.22i) q^{89} -50853.9 q^{90} +(-12948.7 + 22427.8i) q^{91} +(-9143.40 + 15836.8i) q^{92} +(-89406.4 - 154856. i) q^{93} -27332.0 q^{94} +(55453.4 + 96048.1i) q^{95} +(-66011.4 + 114335. i) q^{96} -96681.6 q^{97} +(28367.2 - 49133.5i) q^{98} +(70189.9 + 121572. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 14q^{2} - 14q^{3} + 454q^{4} + 71q^{5} + 15q^{6} + 225q^{7} - 936q^{8} - 1011q^{9} + O(q^{10}) \) \( 34q - 14q^{2} - 14q^{3} + 454q^{4} + 71q^{5} + 15q^{6} + 225q^{7} - 936q^{8} - 1011q^{9} - 317q^{10} + 1326q^{11} - 648q^{12} + 1006q^{13} - 1272q^{14} + 683q^{15} + 3574q^{16} + 200q^{17} + 1861q^{18} + 3361q^{19} + 3825q^{20} - 1320q^{21} - 8768q^{22} + 560q^{23} - 7382q^{24} - 3232q^{25} - 3201q^{26} - 122q^{27} + 13934q^{28} + 8887q^{29} - 19449q^{30} - 6749q^{31} - 19086q^{32} + 7106q^{33} + 8423q^{34} + 31118q^{35} - 14112q^{36} - 4514q^{37} + 7072q^{38} - 5404q^{39} - 18519q^{40} - 28996q^{41} + 58118q^{42} - 14998q^{43} + 71050q^{44} - 92096q^{45} + 20052q^{46} - 10742q^{47} + 32927q^{48} + 7472q^{49} + 20362q^{50} + 20250q^{51} + 59532q^{52} - 50572q^{53} - 230084q^{54} + 38544q^{55} - 40355q^{56} - 18087q^{57} - 33436q^{58} + 112654q^{59} + 134093q^{60} - 20120q^{61} - 31491q^{62} + 188227q^{63} + 125164q^{64} - 36578q^{65} + 8803q^{66} - 73824q^{67} - 128456q^{68} + 8005q^{69} - 141610q^{70} + 142842q^{71} + 98466q^{72} - 91624q^{73} - 99720q^{74} + 298358q^{75} + 258288q^{76} + 68051q^{77} - 201116q^{78} + 99734q^{79} - 31261q^{80} - 28441q^{81} - 147772q^{82} - 47340q^{83} - 624232q^{84} - 71734q^{85} - 115526q^{86} - 215924q^{87} - 720684q^{88} + 60402q^{89} + 676108q^{90} + 164172q^{91} + 78997q^{92} - 40793q^{93} - 341874q^{94} + 123541q^{95} - 442140q^{96} + 318476q^{97} + 217473q^{98} - 134770q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.69441 0.653085 0.326543 0.945182i \(-0.394116\pi\)
0.326543 + 0.945182i \(0.394116\pi\)
\(3\) −11.8232 + 20.4784i −0.758460 + 1.31369i 0.185176 + 0.982705i \(0.440714\pi\)
−0.943636 + 0.330985i \(0.892619\pi\)
\(4\) −18.3513 −0.573479
\(5\) 21.7696 37.7061i 0.389427 0.674507i −0.602946 0.797782i \(-0.706006\pi\)
0.992373 + 0.123275i \(0.0393398\pi\)
\(6\) −43.6798 + 75.6556i −0.495339 + 0.857952i
\(7\) −19.0405 32.9792i −0.146870 0.254387i 0.783199 0.621771i \(-0.213587\pi\)
−0.930069 + 0.367384i \(0.880253\pi\)
\(8\) −186.018 −1.02762
\(9\) −158.077 273.797i −0.650522 1.12674i
\(10\) 80.4259 139.302i 0.254329 0.440511i
\(11\) −444.024 −1.10643 −0.553216 0.833038i \(-0.686599\pi\)
−0.553216 + 0.833038i \(0.686599\pi\)
\(12\) 216.972 375.806i 0.434961 0.753374i
\(13\) −340.030 588.949i −0.558032 0.966539i −0.997661 0.0683599i \(-0.978223\pi\)
0.439629 0.898179i \(-0.355110\pi\)
\(14\) −70.3435 121.839i −0.0959188 0.166136i
\(15\) 514.774 + 891.614i 0.590729 + 1.02317i
\(16\) −99.9855 −0.0976421
\(17\) 541.066 + 937.154i 0.454075 + 0.786482i 0.998635 0.0522407i \(-0.0166363\pi\)
−0.544559 + 0.838722i \(0.683303\pi\)
\(18\) −584.001 1011.52i −0.424846 0.735856i
\(19\) −1273.64 + 2206.01i −0.809400 + 1.40192i 0.103880 + 0.994590i \(0.466874\pi\)
−0.913280 + 0.407332i \(0.866459\pi\)
\(20\) −399.502 + 691.957i −0.223328 + 0.386816i
\(21\) 900.481 0.445581
\(22\) −1640.41 −0.722594
\(23\) 498.242 862.980i 0.196391 0.340158i −0.750965 0.660342i \(-0.770411\pi\)
0.947355 + 0.320184i \(0.103745\pi\)
\(24\) 2199.34 3809.36i 0.779406 1.34997i
\(25\) 614.667 + 1064.64i 0.196694 + 0.340683i
\(26\) −1256.21 2175.82i −0.364442 0.631233i
\(27\) 1729.82 0.456659
\(28\) 349.419 + 605.212i 0.0842271 + 0.145886i
\(29\) −2082.57 3607.12i −0.459838 0.796464i 0.539114 0.842233i \(-0.318759\pi\)
−0.998952 + 0.0457695i \(0.985426\pi\)
\(30\) 1901.79 + 3293.99i 0.385797 + 0.668219i
\(31\) −3780.97 + 6548.83i −0.706641 + 1.22394i 0.259455 + 0.965755i \(0.416457\pi\)
−0.966096 + 0.258183i \(0.916876\pi\)
\(32\) 5583.20 0.963848
\(33\) 5249.79 9092.90i 0.839184 1.45351i
\(34\) 1998.92 + 3462.23i 0.296550 + 0.513640i
\(35\) −1658.02 −0.228781
\(36\) 2900.92 + 5024.54i 0.373061 + 0.646160i
\(37\) −2346.41 + 4064.10i −0.281773 + 0.488045i −0.971822 0.235718i \(-0.924256\pi\)
0.690048 + 0.723763i \(0.257589\pi\)
\(38\) −4705.35 + 8149.91i −0.528607 + 0.915575i
\(39\) 16081.0 1.69298
\(40\) −4049.55 + 7014.03i −0.400181 + 0.693134i
\(41\) −6616.86 −0.614741 −0.307370 0.951590i \(-0.599449\pi\)
−0.307370 + 0.951590i \(0.599449\pi\)
\(42\) 3326.75 0.291002
\(43\) 4133.94 11398.2i 0.340952 0.940081i
\(44\) 8148.43 0.634516
\(45\) −13765.1 −1.01332
\(46\) 1840.71 3188.20i 0.128260 0.222152i
\(47\) −7398.21 −0.488520 −0.244260 0.969710i \(-0.578545\pi\)
−0.244260 + 0.969710i \(0.578545\pi\)
\(48\) 1182.15 2047.54i 0.0740576 0.128272i
\(49\) 7678.42 13299.4i 0.456858 0.791302i
\(50\) 2270.83 + 3933.20i 0.128458 + 0.222495i
\(51\) −25588.6 −1.37759
\(52\) 6240.01 + 10808.0i 0.320020 + 0.554290i
\(53\) 3274.53 5671.65i 0.160125 0.277345i −0.774788 0.632221i \(-0.782144\pi\)
0.934913 + 0.354876i \(0.115477\pi\)
\(54\) 6390.67 0.298237
\(55\) −9666.23 + 16742.4i −0.430874 + 0.746296i
\(56\) 3541.89 + 6134.73i 0.150926 + 0.261412i
\(57\) −30117.1 52164.3i −1.22779 2.12660i
\(58\) −7693.88 13326.2i −0.300314 0.520159i
\(59\) −1878.83 −0.0702678 −0.0351339 0.999383i \(-0.511186\pi\)
−0.0351339 + 0.999383i \(0.511186\pi\)
\(60\) −9446.79 16362.3i −0.338771 0.586768i
\(61\) −19325.7 33473.1i −0.664984 1.15179i −0.979290 0.202464i \(-0.935105\pi\)
0.314306 0.949322i \(-0.398228\pi\)
\(62\) −13968.4 + 24194.1i −0.461497 + 0.799336i
\(63\) −6019.73 + 10426.5i −0.191085 + 0.330968i
\(64\) 23826.2 0.727117
\(65\) −29609.3 −0.869250
\(66\) 19394.9 33592.9i 0.548059 0.949265i
\(67\) −15940.9 + 27610.4i −0.433836 + 0.751426i −0.997200 0.0747832i \(-0.976174\pi\)
0.563364 + 0.826209i \(0.309507\pi\)
\(68\) −9929.29 17198.0i −0.260403 0.451031i
\(69\) 11781.6 + 20406.4i 0.297909 + 0.515993i
\(70\) −6125.41 −0.149413
\(71\) 39102.4 + 67727.4i 0.920572 + 1.59448i 0.798532 + 0.601952i \(0.205610\pi\)
0.122040 + 0.992525i \(0.461056\pi\)
\(72\) 29405.2 + 50931.3i 0.668487 + 1.15785i
\(73\) 28466.6 + 49305.5i 0.625213 + 1.08290i 0.988500 + 0.151223i \(0.0483211\pi\)
−0.363287 + 0.931677i \(0.618346\pi\)
\(74\) −8668.60 + 15014.5i −0.184022 + 0.318735i
\(75\) −29069.4 −0.596737
\(76\) 23373.0 40483.3i 0.464174 0.803973i
\(77\) 8454.45 + 14643.5i 0.162502 + 0.281462i
\(78\) 59409.8 1.10566
\(79\) −19866.1 34409.1i −0.358134 0.620306i 0.629515 0.776988i \(-0.283254\pi\)
−0.987649 + 0.156682i \(0.949920\pi\)
\(80\) −2176.65 + 3770.06i −0.0380245 + 0.0658603i
\(81\) 17960.6 31108.7i 0.304164 0.526828i
\(82\) −24445.4 −0.401478
\(83\) 20440.0 35403.1i 0.325676 0.564087i −0.655973 0.754784i \(-0.727742\pi\)
0.981649 + 0.190697i \(0.0610749\pi\)
\(84\) −16525.0 −0.255531
\(85\) 47115.2 0.707317
\(86\) 15272.5 42109.6i 0.222671 0.613953i
\(87\) 98490.8 1.39508
\(88\) 82596.6 1.13699
\(89\) 1444.66 2502.22i 0.0193326 0.0334850i −0.856197 0.516649i \(-0.827179\pi\)
0.875530 + 0.483164i \(0.160513\pi\)
\(90\) −50853.9 −0.661786
\(91\) −12948.7 + 22427.8i −0.163917 + 0.283912i
\(92\) −9143.40 + 15836.8i −0.112626 + 0.195074i
\(93\) −89406.4 154856.i −1.07192 1.85662i
\(94\) −27332.0 −0.319045
\(95\) 55453.4 + 96048.1i 0.630404 + 1.09189i
\(96\) −66011.4 + 114335.i −0.731040 + 1.26620i
\(97\) −96681.6 −1.04331 −0.521656 0.853156i \(-0.674686\pi\)
−0.521656 + 0.853156i \(0.674686\pi\)
\(98\) 28367.2 49133.5i 0.298367 0.516788i
\(99\) 70189.9 + 121572.i 0.719758 + 1.24666i
\(100\) −11280.0 19537.5i −0.112800 0.195375i
\(101\) 38367.8 + 66455.0i 0.374252 + 0.648223i 0.990215 0.139552i \(-0.0445663\pi\)
−0.615963 + 0.787775i \(0.711233\pi\)
\(102\) −94534.6 −0.899685
\(103\) 4996.22 + 8653.71i 0.0464033 + 0.0803728i 0.888294 0.459275i \(-0.151891\pi\)
−0.841891 + 0.539648i \(0.818557\pi\)
\(104\) 63251.9 + 109555.i 0.573443 + 0.993232i
\(105\) 19603.1 33953.6i 0.173521 0.300547i
\(106\) 12097.5 20953.4i 0.104575 0.181130i
\(107\) −26457.1 −0.223399 −0.111700 0.993742i \(-0.535629\pi\)
−0.111700 + 0.993742i \(0.535629\pi\)
\(108\) −31744.6 −0.261885
\(109\) 78159.5 135376.i 0.630109 1.09138i −0.357420 0.933944i \(-0.616344\pi\)
0.987529 0.157437i \(-0.0503230\pi\)
\(110\) −35711.0 + 61853.3i −0.281398 + 0.487395i
\(111\) −55484.2 96101.5i −0.427427 0.740325i
\(112\) 1903.78 + 3297.44i 0.0143407 + 0.0248389i
\(113\) −76887.1 −0.566444 −0.283222 0.959054i \(-0.591403\pi\)
−0.283222 + 0.959054i \(0.591403\pi\)
\(114\) −111265. 192716.i −0.801855 1.38885i
\(115\) −21693.1 37573.5i −0.152959 0.264934i
\(116\) 38218.0 + 66195.5i 0.263708 + 0.456755i
\(117\) −107502. + 186198.i −0.726024 + 1.25751i
\(118\) −6941.15 −0.0458909
\(119\) 20604.4 35687.8i 0.133380 0.231022i
\(120\) −95757.4 165857.i −0.607043 1.05143i
\(121\) 36106.2 0.224191
\(122\) −71397.1 123663.i −0.434291 0.752215i
\(123\) 78232.5 135503.i 0.466256 0.807579i
\(124\) 69385.8 120180.i 0.405244 0.701903i
\(125\) 189584. 1.08524
\(126\) −22239.4 + 38519.7i −0.124795 + 0.216151i
\(127\) −218704. −1.20323 −0.601615 0.798786i \(-0.705476\pi\)
−0.601615 + 0.798786i \(0.705476\pi\)
\(128\) −90638.9 −0.488978
\(129\) 184541. + 219420.i 0.976377 + 1.16092i
\(130\) −109389. −0.567695
\(131\) 129053. 0.657037 0.328519 0.944497i \(-0.393451\pi\)
0.328519 + 0.944497i \(0.393451\pi\)
\(132\) −96340.7 + 166867.i −0.481254 + 0.833557i
\(133\) 97003.2 0.475507
\(134\) −58892.1 + 102004.i −0.283332 + 0.490745i
\(135\) 37657.6 65224.8i 0.177835 0.308020i
\(136\) −100648. 174328.i −0.466615 0.808202i
\(137\) −395015. −1.79809 −0.899046 0.437854i \(-0.855739\pi\)
−0.899046 + 0.437854i \(0.855739\pi\)
\(138\) 43526.2 + 75389.6i 0.194560 + 0.336987i
\(139\) 214817. 372074.i 0.943044 1.63340i 0.183423 0.983034i \(-0.441282\pi\)
0.759621 0.650366i \(-0.225385\pi\)
\(140\) 30426.9 0.131201
\(141\) 87470.7 151504.i 0.370523 0.641764i
\(142\) 144460. + 250213.i 0.601212 + 1.04133i
\(143\) 150981. + 261508.i 0.617424 + 1.06941i
\(144\) 15805.4 + 27375.7i 0.0635183 + 0.110017i
\(145\) −181347. −0.716294
\(146\) 105167. + 182155.i 0.408317 + 0.707226i
\(147\) 181567. + 314484.i 0.693017 + 1.20034i
\(148\) 43059.8 74581.7i 0.161591 0.279884i
\(149\) −248457. + 430341.i −0.916824 + 1.58799i −0.112616 + 0.993639i \(0.535923\pi\)
−0.804208 + 0.594348i \(0.797410\pi\)
\(150\) −107394. −0.389720
\(151\) 35327.9 0.126088 0.0630442 0.998011i \(-0.479919\pi\)
0.0630442 + 0.998011i \(0.479919\pi\)
\(152\) 236921. 410359.i 0.831753 1.44064i
\(153\) 171060. 296285.i 0.590772 1.02325i
\(154\) 31234.2 + 54099.2i 0.106128 + 0.183818i
\(155\) 164620. + 285131.i 0.550370 + 0.953269i
\(156\) −295108. −0.970888
\(157\) 199905. + 346246.i 0.647254 + 1.12108i 0.983776 + 0.179402i \(0.0574161\pi\)
−0.336522 + 0.941676i \(0.609251\pi\)
\(158\) −73393.6 127121.i −0.233892 0.405113i
\(159\) 77431.0 + 134114.i 0.242897 + 0.420710i
\(160\) 121544. 210521.i 0.375348 0.650122i
\(161\) −37947.1 −0.115376
\(162\) 66353.8 114928.i 0.198645 0.344064i
\(163\) −282622. 489516.i −0.833177 1.44311i −0.895506 0.445050i \(-0.853186\pi\)
0.0623286 0.998056i \(-0.480147\pi\)
\(164\) 121428. 0.352541
\(165\) −228572. 395898.i −0.653601 1.13207i
\(166\) 75513.7 130794.i 0.212694 0.368397i
\(167\) −325208. + 563277.i −0.902340 + 1.56290i −0.0778915 + 0.996962i \(0.524819\pi\)
−0.824449 + 0.565937i \(0.808515\pi\)
\(168\) −167506. −0.457886
\(169\) −45594.4 + 78971.7i −0.122799 + 0.212694i
\(170\) 174063. 0.461938
\(171\) 805333. 2.10613
\(172\) −75863.4 + 209172.i −0.195529 + 0.539117i
\(173\) −450610. −1.14468 −0.572342 0.820015i \(-0.693965\pi\)
−0.572342 + 0.820015i \(0.693965\pi\)
\(174\) 363866. 0.911104
\(175\) 23407.2 40542.4i 0.0577769 0.100072i
\(176\) 44396.0 0.108034
\(177\) 22213.8 38475.4i 0.0532953 0.0923102i
\(178\) 5337.16 9244.23i 0.0126258 0.0218686i
\(179\) −203057. 351704.i −0.473680 0.820437i 0.525866 0.850567i \(-0.323741\pi\)
−0.999546 + 0.0301300i \(0.990408\pi\)
\(180\) 252608. 0.581120
\(181\) 945.628 + 1637.88i 0.00214548 + 0.00371608i 0.867096 0.498141i \(-0.165984\pi\)
−0.864951 + 0.501857i \(0.832650\pi\)
\(182\) −47837.8 + 82857.5i −0.107052 + 0.185419i
\(183\) 913969. 2.01745
\(184\) −92682.2 + 160530.i −0.201814 + 0.349552i
\(185\) 102161. + 176948.i 0.219460 + 0.380116i
\(186\) −330304. 572103.i −0.700054 1.21253i
\(187\) −240246. 416119.i −0.502403 0.870188i
\(188\) 135767. 0.280156
\(189\) −32936.7 57048.1i −0.0670697 0.116168i
\(190\) 204867. + 354841.i 0.411708 + 0.713099i
\(191\) −340507. + 589776.i −0.675372 + 1.16978i 0.300988 + 0.953628i \(0.402684\pi\)
−0.976360 + 0.216151i \(0.930650\pi\)
\(192\) −281702. + 487922.i −0.551489 + 0.955207i
\(193\) −967921. −1.87045 −0.935226 0.354051i \(-0.884804\pi\)
−0.935226 + 0.354051i \(0.884804\pi\)
\(194\) −357181. −0.681372
\(195\) 350077. 606351.i 0.659291 1.14193i
\(196\) −140909. + 244062.i −0.261999 + 0.453795i
\(197\) 365749. + 633496.i 0.671456 + 1.16300i 0.977491 + 0.210976i \(0.0676641\pi\)
−0.306035 + 0.952020i \(0.599003\pi\)
\(198\) 259310. + 449138.i 0.470063 + 0.814174i
\(199\) 118588. 0.212279 0.106139 0.994351i \(-0.466151\pi\)
0.106139 + 0.994351i \(0.466151\pi\)
\(200\) −114339. 198042.i −0.202126 0.350092i
\(201\) −376945. 652888.i −0.658094 1.13985i
\(202\) 141746. + 245512.i 0.244418 + 0.423345i
\(203\) −79306.6 + 137363.i −0.135073 + 0.233954i
\(204\) 469584. 0.790020
\(205\) −144046. + 249496.i −0.239397 + 0.414647i
\(206\) 18458.1 + 31970.4i 0.0303053 + 0.0524903i
\(207\) −315042. −0.511025
\(208\) 33998.1 + 58886.4i 0.0544874 + 0.0943749i
\(209\) 565527. 979522.i 0.895546 1.55113i
\(210\) 72422.0 125439.i 0.113324 0.196283i
\(211\) −225635. −0.348900 −0.174450 0.984666i \(-0.555815\pi\)
−0.174450 + 0.984666i \(0.555815\pi\)
\(212\) −60092.0 + 104082.i −0.0918284 + 0.159051i
\(213\) −1.84927e6 −2.79287
\(214\) −97743.2 −0.145899
\(215\) −339787. 404009.i −0.501315 0.596067i
\(216\) −321779. −0.469271
\(217\) 287967. 0.415138
\(218\) 288753. 500135.i 0.411515 0.712765i
\(219\) −1.34626e6 −1.89679
\(220\) 177388. 307245.i 0.247097 0.427985i
\(221\) 367957. 637321.i 0.506777 0.877764i
\(222\) −204981. 355038.i −0.279146 0.483496i
\(223\) 535287. 0.720816 0.360408 0.932795i \(-0.382637\pi\)
0.360408 + 0.932795i \(0.382637\pi\)
\(224\) −106307. 184129.i −0.141561 0.245190i
\(225\) 194329. 336588.i 0.255907 0.443244i
\(226\) −284052. −0.369937
\(227\) 595655. 1.03171e6i 0.767238 1.32890i −0.171817 0.985129i \(-0.554964\pi\)
0.939055 0.343767i \(-0.111703\pi\)
\(228\) 552689. + 957285.i 0.704115 + 1.21956i
\(229\) −344361. 596450.i −0.433935 0.751598i 0.563273 0.826271i \(-0.309542\pi\)
−0.997208 + 0.0746730i \(0.976209\pi\)
\(230\) −80143.1 138812.i −0.0998956 0.173024i
\(231\) −399835. −0.493005
\(232\) 387397. + 670991.i 0.472538 + 0.818459i
\(233\) 290147. + 502549.i 0.350129 + 0.606441i 0.986272 0.165130i \(-0.0528044\pi\)
−0.636143 + 0.771571i \(0.719471\pi\)
\(234\) −397155. + 687893.i −0.474156 + 0.821262i
\(235\) −161056. + 278958.i −0.190243 + 0.329510i
\(236\) 34479.0 0.0402972
\(237\) 939526. 1.08652
\(238\) 76121.0 131845.i 0.0871088 0.150877i
\(239\) −596510. + 1.03319e6i −0.675497 + 1.16999i 0.300827 + 0.953679i \(0.402737\pi\)
−0.976323 + 0.216316i \(0.930596\pi\)
\(240\) −51469.9 89148.5i −0.0576800 0.0999047i
\(241\) −27247.8 47194.5i −0.0302196 0.0523418i 0.850520 0.525943i \(-0.176287\pi\)
−0.880740 + 0.473601i \(0.842954\pi\)
\(242\) 133391. 0.146416
\(243\) 634878. + 1.09964e6i 0.689722 + 1.19463i
\(244\) 354653. + 614277.i 0.381355 + 0.660526i
\(245\) −334312. 579046.i −0.355826 0.616308i
\(246\) 289023. 500603.i 0.304505 0.527418i
\(247\) 1.73231e6 1.80668
\(248\) 703330. 1.21820e6i 0.726156 1.25774i
\(249\) 483333. + 837157.i 0.494024 + 0.855674i
\(250\) 700402. 0.708757
\(251\) 252890. + 438019.i 0.253366 + 0.438842i 0.964450 0.264264i \(-0.0851291\pi\)
−0.711085 + 0.703106i \(0.751796\pi\)
\(252\) 110470. 191340.i 0.109583 0.189804i
\(253\) −221231. + 383184.i −0.217293 + 0.376362i
\(254\) −807984. −0.785812
\(255\) −557053. + 964845.i −0.536471 + 0.929195i
\(256\) −1.09729e6 −1.04646
\(257\) 784476. 0.740878 0.370439 0.928857i \(-0.379207\pi\)
0.370439 + 0.928857i \(0.379207\pi\)
\(258\) 681768. + 810627.i 0.637657 + 0.758179i
\(259\) 178708. 0.165536
\(260\) 543370. 0.498497
\(261\) −658413. + 1.14041e6i −0.598270 + 1.03623i
\(262\) 476775. 0.429102
\(263\) 406536. 704141.i 0.362418 0.627727i −0.625940 0.779871i \(-0.715285\pi\)
0.988358 + 0.152144i \(0.0486179\pi\)
\(264\) −976558. + 1.69145e6i −0.862359 + 1.49365i
\(265\) −142571. 246939.i −0.124714 0.216011i
\(266\) 358370. 0.310547
\(267\) 34161.0 + 59168.6i 0.0293260 + 0.0507941i
\(268\) 292537. 506688.i 0.248796 0.430927i
\(269\) −502320. −0.423253 −0.211626 0.977351i \(-0.567876\pi\)
−0.211626 + 0.977351i \(0.567876\pi\)
\(270\) 139123. 240967.i 0.116142 0.201163i
\(271\) 305923. + 529874.i 0.253040 + 0.438278i 0.964361 0.264589i \(-0.0852363\pi\)
−0.711321 + 0.702867i \(0.751903\pi\)
\(272\) −54098.8 93701.8i −0.0443369 0.0767937i
\(273\) −306191. 530338.i −0.248648 0.430671i
\(274\) −1.45935e6 −1.17431
\(275\) −272927. 472723.i −0.217628 0.376943i
\(276\) −216209. 374485.i −0.170844 0.295911i
\(277\) −42931.7 + 74359.9i −0.0336185 + 0.0582290i −0.882345 0.470603i \(-0.844036\pi\)
0.848727 + 0.528832i \(0.177370\pi\)
\(278\) 793623. 1.37459e6i 0.615888 1.06675i
\(279\) 2.39073e6 1.83874
\(280\) 308422. 0.235099
\(281\) 922892. 1.59850e6i 0.697244 1.20766i −0.272174 0.962248i \(-0.587743\pi\)
0.969418 0.245414i \(-0.0789240\pi\)
\(282\) 323152. 559716.i 0.241983 0.419127i
\(283\) 1.03920e6 + 1.79995e6i 0.771320 + 1.33596i 0.936840 + 0.349758i \(0.113736\pi\)
−0.165520 + 0.986206i \(0.552930\pi\)
\(284\) −717582. 1.24289e6i −0.527929 0.914400i
\(285\) −2.62255e6 −1.91254
\(286\) 557787. + 966116.i 0.403231 + 0.698416i
\(287\) 125988. + 218218.i 0.0902872 + 0.156382i
\(288\) −882575. 1.52866e6i −0.627004 1.08600i
\(289\) 124423. 215508.i 0.0876310 0.151781i
\(290\) −669971. −0.467801
\(291\) 1.14309e6 1.97989e6i 0.791310 1.37059i
\(292\) −522399. 904822.i −0.358546 0.621021i
\(293\) −2.50262e6 −1.70304 −0.851522 0.524319i \(-0.824320\pi\)
−0.851522 + 0.524319i \(0.824320\pi\)
\(294\) 670783. + 1.16183e6i 0.452599 + 0.783925i
\(295\) −40901.3 + 70843.2i −0.0273642 + 0.0473962i
\(296\) 436476. 755998.i 0.289555 0.501523i
\(297\) −768082. −0.505262
\(298\) −917903. + 1.58985e6i −0.598765 + 1.03709i
\(299\) −677669. −0.438369
\(300\) 533462. 0.342216
\(301\) −454616. + 80693.8i −0.289220 + 0.0513362i
\(302\) 130516. 0.0823466
\(303\) −1.81452e6 −1.13542
\(304\) 127346. 220569.i 0.0790315 0.136887i
\(305\) −1.68285e6 −1.03585
\(306\) 631966. 1.09460e6i 0.385825 0.668268i
\(307\) 146705. 254101.i 0.0888382 0.153872i −0.818182 0.574959i \(-0.805018\pi\)
0.907020 + 0.421087i \(0.138351\pi\)
\(308\) −155150. 268728.i −0.0931915 0.161412i
\(309\) −236286. −0.140780
\(310\) 608175. + 1.05339e6i 0.359439 + 0.622566i
\(311\) −74795.6 + 129550.i −0.0438506 + 0.0759514i −0.887118 0.461543i \(-0.847296\pi\)
0.843267 + 0.537495i \(0.180629\pi\)
\(312\) −2.99136e6 −1.73973
\(313\) −248271. + 430018.i −0.143240 + 0.248099i −0.928715 0.370794i \(-0.879085\pi\)
0.785475 + 0.618894i \(0.212419\pi\)
\(314\) 738532. + 1.27917e6i 0.422712 + 0.732159i
\(315\) 262095. + 453961.i 0.148827 + 0.257776i
\(316\) 364570. + 631454.i 0.205382 + 0.355733i
\(317\) 1.92767e6 1.07742 0.538708 0.842492i \(-0.318913\pi\)
0.538708 + 0.842492i \(0.318913\pi\)
\(318\) 286062. + 495473.i 0.158632 + 0.274759i
\(319\) 924712. + 1.60165e6i 0.508780 + 0.881232i
\(320\) 518687. 898392.i 0.283159 0.490446i
\(321\) 312807. 541798.i 0.169439 0.293478i
\(322\) −140192. −0.0753502
\(323\) −2.75650e6 −1.47011
\(324\) −329601. + 570886.i −0.174432 + 0.302125i
\(325\) 418011. 724016.i 0.219523 0.380224i
\(326\) −1.04412e6 1.80847e6i −0.544136 0.942471i
\(327\) 1.84819e6 + 3.20116e6i 0.955824 + 1.65554i
\(328\) 1.23086e6 0.631718
\(329\) 140866. + 243987.i 0.0717490 + 0.124273i
\(330\) −844438. 1.46261e6i −0.426857 0.739339i
\(331\) −1.72983e6 2.99615e6i −0.867825 1.50312i −0.864214 0.503124i \(-0.832184\pi\)
−0.00361144 0.999993i \(-0.501150\pi\)
\(332\) −375101. + 649694.i −0.186768 + 0.323492i
\(333\) 1.48365e6 0.733198
\(334\) −1.20145e6 + 2.08098e6i −0.589305 + 1.02071i
\(335\) 694054. + 1.20214e6i 0.337894 + 0.585250i
\(336\) −90035.1 −0.0435074
\(337\) −367366. 636296.i −0.176207 0.305200i 0.764371 0.644777i \(-0.223050\pi\)
−0.940578 + 0.339577i \(0.889716\pi\)
\(338\) −168444. + 291754.i −0.0801982 + 0.138907i
\(339\) 909053. 1.57453e6i 0.429625 0.744133i
\(340\) −864627. −0.405631
\(341\) 1.67884e6 2.90784e6i 0.781850 1.35420i
\(342\) 2.97523e6 1.37548
\(343\) −1.22483e6 −0.562136
\(344\) −768990. + 2.12028e6i −0.350368 + 0.966042i
\(345\) 1.02593e6 0.464054
\(346\) −1.66474e6 −0.747576
\(347\) 555317. 961837.i 0.247581 0.428823i −0.715273 0.698845i \(-0.753698\pi\)
0.962854 + 0.270022i \(0.0870311\pi\)
\(348\) −1.80744e6 −0.800047
\(349\) 1.62530e6 2.81509e6i 0.714280 1.23717i −0.248956 0.968515i \(-0.580087\pi\)
0.963236 0.268655i \(-0.0865792\pi\)
\(350\) 86475.7 149780.i 0.0377332 0.0653559i
\(351\) −588192. 1.01878e6i −0.254830 0.441379i
\(352\) −2.47908e6 −1.06643
\(353\) 1.71571e6 + 2.97170e6i 0.732837 + 1.26931i 0.955666 + 0.294453i \(0.0951374\pi\)
−0.222829 + 0.974857i \(0.571529\pi\)
\(354\) 82066.8 142144.i 0.0348064 0.0602865i
\(355\) 3.40498e6 1.43398
\(356\) −26511.4 + 45919.1i −0.0110868 + 0.0192030i
\(357\) 487220. + 843889.i 0.202327 + 0.350441i
\(358\) −750174. 1.29934e6i −0.309353 0.535816i
\(359\) 1.47456e6 + 2.55401e6i 0.603845 + 1.04589i 0.992233 + 0.124394i \(0.0396987\pi\)
−0.388388 + 0.921496i \(0.626968\pi\)
\(360\) 2.56056e6 1.04131
\(361\) −2.00628e6 3.47497e6i −0.810256 1.40341i
\(362\) 3493.54 + 6050.98i 0.00140118 + 0.00242691i
\(363\) −426891. + 739397.i −0.170040 + 0.294517i
\(364\) 237626. 411580.i 0.0940028 0.162818i
\(365\) 2.47882e6 0.973898
\(366\) 3.37657e6 1.31757
\(367\) −1.04089e6 + 1.80288e6i −0.403404 + 0.698716i −0.994134 0.108153i \(-0.965506\pi\)
0.590730 + 0.806869i \(0.298840\pi\)
\(368\) −49817.0 + 86285.5i −0.0191760 + 0.0332138i
\(369\) 1.04597e6 + 1.81168e6i 0.399902 + 0.692651i
\(370\) 377424. + 653718.i 0.143326 + 0.248248i
\(371\) −249395. −0.0940705
\(372\) 1.64073e6 + 2.84182e6i 0.614722 + 1.06473i
\(373\) −905208. 1.56787e6i −0.336881 0.583495i 0.646963 0.762521i \(-0.276039\pi\)
−0.983844 + 0.179026i \(0.942705\pi\)
\(374\) −887568. 1.53731e6i −0.328112 0.568307i
\(375\) −2.24150e6 + 3.88239e6i −0.823114 + 1.42568i
\(376\) 1.37620e6 0.502011
\(377\) −1.41627e6 + 2.45306e6i −0.513209 + 0.888904i
\(378\) −121682. 210759.i −0.0438022 0.0758677i
\(379\) −3.02452e6 −1.08158 −0.540789 0.841158i \(-0.681874\pi\)
−0.540789 + 0.841158i \(0.681874\pi\)
\(380\) −1.01764e6 1.76261e6i −0.361524 0.626177i
\(381\) 2.58579e6 4.47872e6i 0.912601 1.58067i
\(382\) −1.25797e6 + 2.17887e6i −0.441076 + 0.763965i
\(383\) 698177. 0.243203 0.121601 0.992579i \(-0.461197\pi\)
0.121601 + 0.992579i \(0.461197\pi\)
\(384\) 1.07164e6 1.85614e6i 0.370870 0.642366i
\(385\) 736200. 0.253130
\(386\) −3.57590e6 −1.22157
\(387\) −3.77427e6 + 669930.i −1.28102 + 0.227380i
\(388\) 1.77424e6 0.598318
\(389\) 2.44601e6 0.819566 0.409783 0.912183i \(-0.365604\pi\)
0.409783 + 0.912183i \(0.365604\pi\)
\(390\) 1.29333e6 2.24011e6i 0.430573 0.745775i
\(391\) 1.07833e6 0.356704
\(392\) −1.42833e6 + 2.47394e6i −0.469475 + 0.813155i
\(393\) −1.52582e6 + 2.64280e6i −0.498336 + 0.863144i
\(394\) 1.35123e6 + 2.34039e6i 0.438518 + 0.759536i
\(395\) −1.72991e6 −0.557868
\(396\) −1.28808e6 2.23102e6i −0.412766 0.714932i
\(397\) −1.83920e6 + 3.18558e6i −0.585669 + 1.01441i 0.409123 + 0.912479i \(0.365835\pi\)
−0.994792 + 0.101929i \(0.967499\pi\)
\(398\) 438111. 0.138636
\(399\) −1.14689e6 + 1.98647e6i −0.360653 + 0.624669i
\(400\) −61457.8 106448.i −0.0192056 0.0332650i
\(401\) 1.59297e6 + 2.75911e6i 0.494706 + 0.856855i 0.999981 0.00610257i \(-0.00194252\pi\)
−0.505276 + 0.862958i \(0.668609\pi\)
\(402\) −1.39259e6 2.41203e6i −0.429791 0.744421i
\(403\) 5.14257e6 1.57731
\(404\) −704101. 1.21954e6i −0.214626 0.371742i
\(405\) −781991. 1.35445e6i −0.236900 0.410322i
\(406\) −292991. + 507475.i −0.0882143 + 0.152792i
\(407\) 1.04186e6 1.80456e6i 0.311763 0.539989i
\(408\) 4.75995e6 1.41564
\(409\) 1.68362e6 0.497664 0.248832 0.968547i \(-0.419953\pi\)
0.248832 + 0.968547i \(0.419953\pi\)
\(410\) −532167. + 921740.i −0.156346 + 0.270800i
\(411\) 4.67034e6 8.08927e6i 1.36378 2.36214i
\(412\) −91687.4 158807.i −0.0266113 0.0460922i
\(413\) 35773.9 + 61962.1i 0.0103203 + 0.0178752i
\(414\) −1.16389e6 −0.333743
\(415\) −889941. 1.54142e6i −0.253654 0.439341i
\(416\) −1.89846e6 3.28822e6i −0.537858 0.931597i
\(417\) 5.07966e6 + 8.79823e6i 1.43052 + 2.47774i
\(418\) 2.08929e6 3.61875e6i 0.584868 1.01302i
\(419\) −4.98205e6 −1.38635 −0.693175 0.720769i \(-0.743789\pi\)
−0.693175 + 0.720769i \(0.743789\pi\)
\(420\) −359744. + 623094.i −0.0995107 + 0.172358i
\(421\) 5567.98 + 9644.02i 0.00153106 + 0.00265187i 0.866790 0.498673i \(-0.166179\pi\)
−0.865259 + 0.501325i \(0.832846\pi\)
\(422\) −833590. −0.227862
\(423\) 1.16949e6 + 2.02561e6i 0.317793 + 0.550433i
\(424\) −609123. + 1.05503e6i −0.164547 + 0.285004i
\(425\) −665151. + 1.15208e6i −0.178627 + 0.309392i
\(426\) −6.83194e6 −1.82398
\(427\) −735944. + 1.27469e6i −0.195333 + 0.338326i
\(428\) 485522. 0.128115
\(429\) −7.14034e6 −1.87316
\(430\) −1.25531e6 1.49258e6i −0.327402 0.389283i
\(431\) 3.06669e6 0.795201 0.397600 0.917559i \(-0.369843\pi\)
0.397600 + 0.917559i \(0.369843\pi\)
\(432\) −172957. −0.0445892
\(433\) 62914.0 108970.i 0.0161260 0.0279311i −0.857850 0.513901i \(-0.828200\pi\)
0.873976 + 0.485969i \(0.161533\pi\)
\(434\) 1.06387e6 0.271121
\(435\) 2.14411e6 3.71370e6i 0.543280 0.940988i
\(436\) −1.43433e6 + 2.48433e6i −0.361354 + 0.625884i
\(437\) 1.26916e6 + 2.19825e6i 0.317917 + 0.550648i
\(438\) −4.97365e6 −1.23877
\(439\) −3.38002e6 5.85436e6i −0.837061 1.44983i −0.892341 0.451362i \(-0.850938\pi\)
0.0552794 0.998471i \(-0.482395\pi\)
\(440\) 1.79810e6 3.11440e6i 0.442773 0.766906i
\(441\) −4.85512e6 −1.18879
\(442\) 1.35939e6 2.35452e6i 0.330969 0.573255i
\(443\) 1.07721e6 + 1.86579e6i 0.260791 + 0.451703i 0.966452 0.256846i \(-0.0826833\pi\)
−0.705661 + 0.708549i \(0.749350\pi\)
\(444\) 1.01821e6 + 1.76359e6i 0.245121 + 0.424561i
\(445\) −62899.3 108945.i −0.0150573 0.0260799i
\(446\) 1.97757e6 0.470754
\(447\) −5.87513e6 1.01760e7i −1.39075 2.40885i
\(448\) −453663. 785767.i −0.106792 0.184969i
\(449\) 1.94852e6 3.37494e6i 0.456131 0.790041i −0.542622 0.839977i \(-0.682568\pi\)
0.998752 + 0.0499358i \(0.0159017\pi\)
\(450\) 717932. 1.24350e6i 0.167129 0.289476i
\(451\) 2.93804e6 0.680169
\(452\) 1.41098e6 0.324844
\(453\) −417689. + 723459.i −0.0956330 + 0.165641i
\(454\) 2.20059e6 3.81154e6i 0.501072 0.867883i
\(455\) 563777. + 976490.i 0.127667 + 0.221126i
\(456\) 5.60233e6 + 9.70352e6i 1.26170 + 2.18533i
\(457\) −515855. −0.115541 −0.0577706 0.998330i \(-0.518399\pi\)
−0.0577706 + 0.998330i \(0.518399\pi\)
\(458\) −1.27221e6 2.20353e6i −0.283397 0.490858i
\(459\) 935948. + 1.62111e6i 0.207358 + 0.359154i
\(460\) 398097. + 689524.i 0.0877191 + 0.151934i
\(461\) −1.38775e6 + 2.40366e6i −0.304130 + 0.526769i −0.977067 0.212931i \(-0.931699\pi\)
0.672937 + 0.739700i \(0.265032\pi\)
\(462\) −1.47715e6 −0.321974
\(463\) −1.51654e6 + 2.62673e6i −0.328778 + 0.569460i −0.982270 0.187474i \(-0.939970\pi\)
0.653492 + 0.756934i \(0.273303\pi\)
\(464\) 208227. + 360660.i 0.0448996 + 0.0777684i
\(465\) −7.78537e6 −1.66973
\(466\) 1.07192e6 + 1.85662e6i 0.228664 + 0.396058i
\(467\) −1.66448e6 + 2.88297e6i −0.353173 + 0.611713i −0.986803 0.161922i \(-0.948231\pi\)
0.633631 + 0.773636i \(0.281564\pi\)
\(468\) 1.97280e6 3.41699e6i 0.416360 0.721156i
\(469\) 1.21409e6 0.254870
\(470\) −595008. + 1.03058e6i −0.124245 + 0.215198i
\(471\) −9.45409e6 −1.96366
\(472\) 349496. 0.0722084
\(473\) −1.83557e6 + 5.06107e6i −0.377240 + 1.04013i
\(474\) 3.47099e6 0.709591
\(475\) −3.13146e6 −0.636815
\(476\) −378118. + 654919.i −0.0764909 + 0.132486i
\(477\) −2.07051e6 −0.416660
\(478\) −2.20375e6 + 3.81701e6i −0.441157 + 0.764107i
\(479\) 1.61381e6 2.79520e6i 0.321376 0.556639i −0.659397 0.751795i \(-0.729188\pi\)
0.980772 + 0.195156i \(0.0625215\pi\)
\(480\) 2.87409e6 + 4.97806e6i 0.569373 + 0.986183i
\(481\) 3.19140e6 0.628953
\(482\) −100664. 174356.i −0.0197360 0.0341837i
\(483\) 448657. 777097.i 0.0875078 0.151568i
\(484\) −662596. −0.128569
\(485\) −2.10472e6 + 3.64548e6i −0.406294 + 0.703722i
\(486\) 2.34550e6 + 4.06252e6i 0.450448 + 0.780198i
\(487\) −3.39949e6 5.88808e6i −0.649517 1.12500i −0.983238 0.182325i \(-0.941638\pi\)
0.333721 0.942672i \(-0.391696\pi\)
\(488\) 3.59494e6 + 6.22662e6i 0.683349 + 1.18359i
\(489\) 1.33660e7 2.52773
\(490\) −1.23509e6 2.13923e6i −0.232385 0.402502i
\(491\) −809239. 1.40164e6i −0.151486 0.262382i 0.780288 0.625421i \(-0.215073\pi\)
−0.931774 + 0.363039i \(0.881739\pi\)
\(492\) −1.43567e6 + 2.48666e6i −0.267388 + 0.463130i
\(493\) 2.25362e6 3.90338e6i 0.417603 0.723309i
\(494\) 6.39985e6 1.17992
\(495\) 6.11203e6 1.12117
\(496\) 378042. 654788.i 0.0689979 0.119508i
\(497\) 1.48906e6 2.57913e6i 0.270409 0.468363i
\(498\) 1.78563e6 + 3.09280e6i 0.322640 + 0.558828i
\(499\) −3.74717e6 6.49030e6i −0.673678 1.16684i −0.976853 0.213910i \(-0.931380\pi\)
0.303175 0.952935i \(-0.401953\pi\)
\(500\) −3.47913e6 −0.622365
\(501\) −7.69001e6 1.33195e7i −1.36878 2.37079i
\(502\) 934280. + 1.61822e6i 0.165469 + 0.286601i
\(503\) −818706. 1.41804e6i −0.144281 0.249901i 0.784824 0.619719i \(-0.212753\pi\)
−0.929104 + 0.369818i \(0.879420\pi\)
\(504\) 1.11978e6 1.93952e6i 0.196362 0.340109i
\(505\) 3.34101e6 0.582974
\(506\) −817319. + 1.41564e6i −0.141911 + 0.245797i
\(507\) −1.07814e6 1.86740e6i −0.186276 0.322639i
\(508\) 4.01352e6 0.690027
\(509\) 4.15195e6 + 7.19138e6i 0.710325 + 1.23032i 0.964735 + 0.263223i \(0.0847855\pi\)
−0.254410 + 0.967097i \(0.581881\pi\)
\(510\) −2.05798e6 + 3.56453e6i −0.350361 + 0.606844i
\(511\) 1.08404e6 1.87761e6i 0.183650 0.318092i
\(512\) −1.15341e6 −0.194451
\(513\) −2.20317e6 + 3.81601e6i −0.369620 + 0.640200i
\(514\) 2.89817e6 0.483857
\(515\) 435063. 0.0722827
\(516\) −3.38657e6 4.02665e6i −0.559932 0.665763i
\(517\) 3.28498e6 0.540514
\(518\) 660219. 0.108109
\(519\) 5.32766e6 9.22777e6i 0.868196 1.50376i
\(520\) 5.50788e6 0.893256
\(521\) 586947. 1.01662e6i 0.0947337 0.164084i −0.814764 0.579793i \(-0.803133\pi\)
0.909497 + 0.415710i \(0.136467\pi\)
\(522\) −2.43245e6 + 4.21312e6i −0.390721 + 0.676749i
\(523\) 62533.6 + 108311.i 0.00999676 + 0.0173149i 0.870981 0.491318i \(-0.163485\pi\)
−0.860984 + 0.508632i \(0.830151\pi\)
\(524\) −2.36830e6 −0.376797
\(525\) 553496. + 958684.i 0.0876429 + 0.151802i
\(526\) 1.50191e6 2.60139e6i 0.236690 0.409959i
\(527\) −8.18302e6 −1.28347
\(528\) −524903. + 909158.i −0.0819397 + 0.141924i
\(529\) 2.72168e6 + 4.71409e6i 0.422862 + 0.732418i
\(530\) −526714. 912295.i −0.0814489 0.141074i
\(531\) 296999. + 514417.i 0.0457108 + 0.0791734i
\(532\) −1.78014e6 −0.272694
\(533\) 2.24993e6 + 3.89699e6i 0.343045 + 0.594171i
\(534\) 126205. + 218593.i 0.0191524 + 0.0331729i
\(535\) −575960. + 997592.i −0.0869977 + 0.150684i
\(536\) 2.96530e6 5.13605e6i 0.445817 0.772177i
\(537\) 9.60313e6 1.43707
\(538\) −1.85577e6 −0.276420
\(539\) −3.40940e6 + 5.90525e6i −0.505482 + 0.875521i
\(540\) −691067. + 1.19696e6i −0.101985 + 0.176643i
\(541\) 3.38253e6 + 5.85871e6i 0.496877 + 0.860615i 0.999994 0.00360288i \(-0.00114683\pi\)
−0.503117 + 0.864218i \(0.667814\pi\)
\(542\) 1.13020e6 + 1.95757e6i 0.165257 + 0.286233i
\(543\) −44721.5 −0.00650903
\(544\) 3.02088e6 + 5.23232e6i 0.437660 + 0.758049i
\(545\) −3.40300e6 5.89418e6i −0.490762 0.850025i
\(546\) −1.13119e6 1.95928e6i −0.162389 0.281265i
\(547\) −5.32635e6 + 9.22551e6i −0.761135 + 1.31832i 0.181131 + 0.983459i \(0.442024\pi\)
−0.942266 + 0.334865i \(0.891309\pi\)
\(548\) 7.24905e6 1.03117
\(549\) −6.10990e6 + 1.05827e7i −0.865173 + 1.49852i
\(550\) −1.00830e6 1.74643e6i −0.142130 0.246176i
\(551\) 1.06098e7 1.48877
\(552\) −2.19160e6 3.79597e6i −0.306136 0.530243i
\(553\) −756523. + 1.31034e6i −0.105198 + 0.182209i
\(554\) −158607. + 274716.i −0.0219558 + 0.0380285i
\(555\) −4.83148e6 −0.665806
\(556\) −3.94218e6 + 6.82806e6i −0.540816 + 0.936721i
\(557\) 4.74375e6 0.647863 0.323932 0.946080i \(-0.394995\pi\)
0.323932 + 0.946080i \(0.394995\pi\)
\(558\) 8.83235e6 1.20086
\(559\) −8.11863e6 + 1.44105e6i −1.09889 + 0.195051i
\(560\) 165778. 0.0223386
\(561\) 1.13619e7 1.52421
\(562\) 3.40954e6 5.90550e6i 0.455360 0.788707i
\(563\) −1.06826e7 −1.42038 −0.710191 0.704009i \(-0.751391\pi\)
−0.710191 + 0.704009i \(0.751391\pi\)
\(564\) −1.60520e6 + 2.78029e6i −0.212487 + 0.368038i
\(565\) −1.67380e6 + 2.89911e6i −0.220589 + 0.382071i
\(566\) 3.83924e6 + 6.64976e6i 0.503738 + 0.872499i
\(567\) −1.36792e6 −0.178691
\(568\) −7.27377e6 1.25985e7i −0.945995 1.63851i
\(569\) −1.18013e6 + 2.04404e6i −0.152809 + 0.264672i −0.932259 0.361792i \(-0.882165\pi\)
0.779450 + 0.626464i \(0.215498\pi\)
\(570\) −9.68877e6 −1.24905
\(571\) −5.46331e6 + 9.46273e6i −0.701238 + 1.21458i 0.266794 + 0.963754i \(0.414036\pi\)
−0.968032 + 0.250826i \(0.919298\pi\)
\(572\) −2.77071e6 4.79901e6i −0.354080 0.613284i
\(573\) −8.05178e6 1.39461e7i −1.02448 1.77446i
\(574\) 465453. + 806188.i 0.0589652 + 0.102131i
\(575\) 1.22501e6 0.154515
\(576\) −3.76637e6 6.52354e6i −0.473006 0.819270i
\(577\) 2.87057e6 + 4.97198e6i 0.358946 + 0.621713i 0.987785 0.155823i \(-0.0498029\pi\)
−0.628839 + 0.777536i \(0.716470\pi\)
\(578\) 459671. 796174.i 0.0572305 0.0991261i
\(579\) 1.14439e7 1.98215e7i 1.41866 2.45720i
\(580\) 3.32797e6 0.410780
\(581\) −1.55675e6 −0.191328
\(582\) 4.22303e6 7.31451e6i 0.516793 0.895112i
\(583\) −1.45397e6 + 2.51835e6i −0.177167 + 0.306863i
\(584\) −5.29530e6 9.17174e6i −0.642479 1.11281i
\(585\) 4.68054e6 + 8.10694e6i 0.565466 + 0.979416i
\(586\) −9.24570e6 −1.11223
\(587\) 2.51923e6 + 4.36343e6i 0.301768 + 0.522677i 0.976536 0.215352i \(-0.0690900\pi\)
−0.674769 + 0.738029i \(0.735757\pi\)
\(588\) −3.33200e6 5.77119e6i −0.397431 0.688371i
\(589\) −9.63120e6 1.66817e7i −1.14391 1.98131i
\(590\) −151106. + 261724.i −0.0178711 + 0.0309537i
\(591\) −1.72973e7 −2.03709
\(592\) 234607. 406351.i 0.0275129 0.0476538i
\(593\) −3.48526e6 6.03666e6i −0.407004 0.704952i 0.587548 0.809189i \(-0.300093\pi\)
−0.994552 + 0.104237i \(0.966760\pi\)
\(594\) −2.83761e6 −0.329979
\(595\) −897099. 1.55382e6i −0.103884 0.179932i
\(596\) 4.55952e6 7.89733e6i 0.525780 0.910677i
\(597\) −1.40209e6 + 2.42849e6i −0.161005 + 0.278869i
\(598\) −2.50359e6 −0.286292
\(599\) −6.98106e6 + 1.20915e7i −0.794976 + 1.37694i 0.127878 + 0.991790i \(0.459183\pi\)
−0.922854 + 0.385150i \(0.874150\pi\)
\(600\) 5.40744e6 0.613216
\(601\) 8.02828e6 0.906644 0.453322 0.891347i \(-0.350239\pi\)
0.453322 + 0.891347i \(0.350239\pi\)
\(602\) −1.67954e6 + 298116.i −0.188885 + 0.0335269i
\(603\) 1.00795e7 1.12888
\(604\) −648314. −0.0723091
\(605\) 786017. 1.36142e6i 0.0873059 0.151218i
\(606\) −6.70359e6 −0.741525
\(607\) 7.25213e6 1.25611e7i 0.798903 1.38374i −0.121429 0.992600i \(-0.538748\pi\)
0.920331 0.391140i \(-0.127919\pi\)
\(608\) −7.11100e6 + 1.23166e7i −0.780138 + 1.35124i
\(609\) −1.87532e6 3.24815e6i −0.204895 0.354889i
\(610\) −6.21715e6 −0.676499
\(611\) 2.51561e6 + 4.35717e6i 0.272610 + 0.472174i
\(612\) −3.13918e6 + 5.43722e6i −0.338796 + 0.586811i
\(613\) 5.44840e6 0.585623 0.292812 0.956170i \(-0.405409\pi\)
0.292812 + 0.956170i \(0.405409\pi\)
\(614\) 541989. 938753.i 0.0580189 0.100492i
\(615\) −3.40618e6 5.89969e6i −0.363145 0.628986i
\(616\) −1.57268e6 2.72397e6i −0.166990 0.289235i
\(617\) 1.36271e6 + 2.36028e6i 0.144108 + 0.249603i 0.929040 0.369979i \(-0.120635\pi\)
−0.784932 + 0.619583i \(0.787302\pi\)
\(618\) −872936. −0.0919414
\(619\) 7.82019e6 + 1.35450e7i 0.820334 + 1.42086i 0.905433 + 0.424488i \(0.139546\pi\)
−0.0850992 + 0.996372i \(0.527121\pi\)
\(620\) −3.02101e6 5.23254e6i −0.315626 0.546680i
\(621\) 861870. 1.49280e6i 0.0896835 0.155336i
\(622\) −276326. + 478610.i −0.0286382 + 0.0496028i
\(623\) −110028. −0.0113575
\(624\) −1.60787e6 −0.165306
\(625\) 2.20634e6 3.82150e6i 0.225930 0.391322i
\(626\) −917214. + 1.58866e6i −0.0935481 + 0.162030i
\(627\) 1.33727e7 + 2.31622e7i 1.35847 + 2.35294i
\(628\) −3.66853e6 6.35408e6i −0.371187 0.642915i
\(629\) −5.07825e6 −0.511785
\(630\) 968285. + 1.67712e6i 0.0971967 + 0.168350i
\(631\) 7.53153e6 + 1.30450e7i 0.753025 + 1.30428i 0.946350 + 0.323143i \(0.104740\pi\)
−0.193325 + 0.981135i \(0.561927\pi\)
\(632\) 3.69547e6 + 6.40074e6i 0.368024 + 0.637437i
\(633\) 2.66774e6 4.62065e6i 0.264627 0.458347i
\(634\) 7.12159e6 0.703645
\(635\) −4.76111e6 + 8.24649e6i −0.468570 + 0.811587i
\(636\) −1.42096e6 2.46118e6i −0.139296 0.241268i
\(637\) −1.04436e7 −1.01977
\(638\) 3.41627e6 + 5.91714e6i 0.332277 + 0.575520i
\(639\) 1.23624e7 2.14123e7i 1.19770 2.07449i
\(640\) −1.97317e6 + 3.41764e6i −0.190421 + 0.329819i
\(641\) 1.58718e7 1.52575 0.762873 0.646548i \(-0.223788\pi\)
0.762873 + 0.646548i \(0.223788\pi\)
\(642\) 1.15564e6 2.00163e6i 0.110658 0.191666i
\(643\) −321063. −0.0306241 −0.0153121 0.999883i \(-0.504874\pi\)
−0.0153121 + 0.999883i \(0.504874\pi\)
\(644\) 696381. 0.0661656
\(645\) 1.22908e7 2.18161e6i 1.16327 0.206480i
\(646\) −1.01836e7 −0.960110
\(647\) −8.10484e6 −0.761174 −0.380587 0.924745i \(-0.624278\pi\)
−0.380587 + 0.924745i \(0.624278\pi\)
\(648\) −3.34100e6 + 5.78679e6i −0.312564 + 0.541377i
\(649\) 834244. 0.0777466
\(650\) 1.54430e6 2.67481e6i 0.143367 0.248319i
\(651\) −3.40469e6 + 5.89710e6i −0.314866 + 0.545363i
\(652\) 5.18650e6 + 8.98328e6i 0.477810 + 0.827591i
\(653\) −7.48624e6 −0.687038 −0.343519 0.939146i \(-0.611619\pi\)
−0.343519 + 0.939146i \(0.611619\pi\)
\(654\) 6.82798e6 + 1.18264e7i 0.624235 + 1.08121i
\(655\) 2.80944e6 4.86609e6i 0.255868 0.443176i
\(656\) 661590. 0.0600246
\(657\) 8.99980e6 1.55881e7i 0.813429 1.40890i
\(658\) 520416. + 901387.i 0.0468583 + 0.0811609i
\(659\) −2.25483e6 3.90548e6i −0.202256 0.350317i 0.746999 0.664825i \(-0.231494\pi\)
−0.949255 + 0.314508i \(0.898160\pi\)
\(660\) 4.19460e6 + 7.26526e6i 0.374827 + 0.649219i
\(661\) 3.67786e6 0.327410 0.163705 0.986509i \(-0.447656\pi\)
0.163705 + 0.986509i \(0.447656\pi\)
\(662\) −6.39068e6 1.10690e7i −0.566764 0.981664i
\(663\) 8.70088e6 + 1.50704e7i 0.768740 + 1.33150i
\(664\) −3.80221e6 + 6.58563e6i −0.334670 + 0.579665i
\(665\) 2.11172e6 3.65761e6i 0.185175 0.320733i
\(666\) 5.48122e6 0.478841
\(667\) −4.15050e6 −0.361232
\(668\) 5.96800e6 1.03369e7i 0.517473 0.896290i
\(669\) −6.32881e6 + 1.09618e7i −0.546710 + 0.946929i
\(670\) 2.56412e6 + 4.44118e6i 0.220674 + 0.382219i
\(671\) 8.58108e6 + 1.48629e7i 0.735759 + 1.27437i
\(672\) 5.02757e6 0.429472
\(673\) −9.56753e6 1.65715e7i −0.814259 1.41034i −0.909859 0.414918i \(-0.863810\pi\)
0.0956003 0.995420i \(-0.469523\pi\)
\(674\) −1.35720e6 2.35074e6i −0.115078 0.199322i
\(675\) 1.06327e6 + 1.84163e6i 0.0898219 + 0.155576i
\(676\) 836718. 1.44924e6i 0.0704226 0.121976i
\(677\) −805685. −0.0675606 −0.0337803 0.999429i \(-0.510755\pi\)
−0.0337803 + 0.999429i \(0.510755\pi\)
\(678\) 3.35841e6 5.81694e6i 0.280582 0.485982i
\(679\) 1.84087e6 + 3.18848e6i 0.153232 + 0.265405i
\(680\) −8.76430e6 −0.726850
\(681\) 1.40851e7 + 2.43961e7i 1.16384 + 2.01583i
\(682\) 6.20232e6 1.07427e7i 0.510615 0.884411i
\(683\) −3.93816e6 + 6.82110e6i −0.323029 + 0.559503i −0.981112 0.193443i \(-0.938035\pi\)
0.658082 + 0.752946i \(0.271368\pi\)
\(684\) −1.47789e7 −1.20782
\(685\) −8.59932e6 + 1.48945e7i −0.700225 + 1.21283i
\(686\) −4.52503e6 −0.367123
\(687\) 1.62858e7 1.31649
\(688\) −413334. + 1.13965e6i −0.0332913 + 0.0917915i
\(689\) −4.45375e6 −0.357420
\(690\) 3.79019e6 0.303067
\(691\) 1.02147e7 1.76924e7i 0.813825 1.40959i −0.0963440 0.995348i \(-0.530715\pi\)
0.910169 0.414238i \(-0.135952\pi\)
\(692\) 8.26929e6 0.656452
\(693\) 2.67290e6 4.62961e6i 0.211422 0.366194i
\(694\) 2.05157e6 3.55342e6i 0.161691 0.280058i
\(695\) −9.35298e6 1.61998e7i −0.734493 1.27218i
\(696\) −1.83211e7 −1.43360
\(697\) −3.58016e6 6.20101e6i −0.279139 0.483483i
\(698\) 6.00451e6 1.04001e7i 0.466486 0.807978i
\(699\) −1.37219e7 −1.06224
\(700\) −429553. + 744008.i −0.0331338 + 0.0573895i
\(701\) −2.21167e6 3.83072e6i −0.169991 0.294432i 0.768426 0.639939i \(-0.221040\pi\)
−0.938416 + 0.345507i \(0.887707\pi\)
\(702\) −2.17302e6 3.76378e6i −0.166426 0.288258i
\(703\) −5.97697e6 1.03524e7i −0.456134 0.790048i
\(704\) −1.05794e7 −0.804505
\(705\) −3.80841e6 6.59635e6i −0.288583 0.499840i
\(706\) 6.33854e6 + 1.09787e7i 0.478605 + 0.828968i
\(707\) 1.46109e6 2.53068e6i 0.109933 0.190409i
\(708\) −407652. + 706075.i −0.0305638 + 0.0529380i
\(709\) 590238. 0.0440972 0.0220486 0.999757i \(-0.492981\pi\)
0.0220486 + 0.999757i \(0.492981\pi\)
\(710\) 1.25794e7 0.936513
\(711\) −6.28075e6 + 1.08786e7i −0.465948 + 0.807046i
\(712\) −268733. + 465460.i −0.0198665 + 0.0344098i
\(713\) 3.76767e6 + 6.52580e6i 0.277555 + 0.480740i
\(714\) 1.79999e6 + 3.11767e6i 0.132137 + 0.228868i
\(715\) 1.31472e7 0.961766
\(716\) 3.72636e6 + 6.45425e6i 0.271645 + 0.470504i
\(717\) −1.41053e7 2.44312e7i −1.02467 1.77479i
\(718\) 5.44762e6 + 9.43555e6i 0.394362 + 0.683056i
\(719\) 5.08464e6 8.80685e6i 0.366807 0.635329i −0.622257 0.782813i \(-0.713784\pi\)
0.989064 + 0.147484i \(0.0471175\pi\)
\(720\) 1.37631e6 0.0989430
\(721\) 190261. 329542.i 0.0136305 0.0236088i
\(722\) −7.41200e6 1.28380e7i −0.529167 0.916544i
\(723\) 1.28862e6 0.0916813
\(724\) −17353.5 30057.2i −0.00123039 0.00213109i
\(725\) 2.56018e6 4.43436e6i 0.180895 0.313319i
\(726\) −1.57711e6 + 2.73163e6i −0.111050 + 0.192345i
\(727\) −4.49416e6 −0.315365 −0.157682 0.987490i \(-0.550402\pi\)
−0.157682 + 0.987490i \(0.550402\pi\)
\(728\) 2.40870e6 4.17199e6i 0.168443 0.291752i
\(729\) −2.12963e7 −1.48418
\(730\) 9.15779e6 0.636039
\(731\) 1.29186e7 2.29304e6i 0.894174 0.158715i
\(732\) −1.67726e7 −1.15697
\(733\) 1.82510e7 1.25466 0.627331 0.778753i \(-0.284147\pi\)
0.627331 + 0.778753i \(0.284147\pi\)
\(734\) −3.84548e6 + 6.66056e6i −0.263457 + 0.456321i
\(735\) 1.58106e7 1.07952
\(736\) 2.78178e6 4.81819e6i 0.189291 0.327861i
\(737\) 7.07813e6 1.22597e7i 0.480010 0.831401i
\(738\) 3.86425e6 + 6.69307e6i 0.261171 + 0.452361i
\(739\) −2.81471e7 −1.89593 −0.947967 0.318368i \(-0.896865\pi\)
−0.947967 + 0.318368i \(0.896865\pi\)
\(740\) −1.87479e6 3.24723e6i −0.125856 0.217989i
\(741\) −2.04814e7 + 3.54749e7i −1.37030 + 2.37342i
\(742\) −921368. −0.0614361
\(743\) −1.43498e6 + 2.48546e6i −0.0953617 + 0.165171i −0.909760 0.415136i \(-0.863734\pi\)
0.814398 + 0.580307i \(0.197067\pi\)
\(744\) 1.66312e7 + 2.88062e7i 1.10152 + 1.90789i
\(745\) 1.08176e7 + 1.87367e7i 0.714072 + 1.23681i
\(746\) −3.34421e6 5.79234e6i −0.220012 0.381072i
\(747\) −1.29244e7 −0.847437
\(748\) 4.40884e6 + 7.63634e6i 0.288118 + 0.499035i
\(749\) 503756. + 872532.i 0.0328107 + 0.0568299i
\(750\) −8.28101e6 + 1.43431e7i −0.537564 + 0.931088i
\(751\) −5.78867e6 + 1.00263e7i −0.374523 + 0.648693i −0.990256 0.139262i \(-0.955527\pi\)
0.615732 + 0.787955i \(0.288860\pi\)
\(752\) 739714. 0.0477001
\(753\) −1.19599e7 −0.768670
\(754\) −5.23230e6 + 9.06261e6i −0.335169 + 0.580530i
\(755\) 769075. 1.33208e6i 0.0491022 0.0850476i
\(756\) 604433. + 1.04691e6i 0.0384631 + 0.0666200i
\(757\) 4.21491e6 + 7.30043e6i 0.267330 + 0.463030i 0.968172 0.250288i \(-0.0805252\pi\)
−0.700841 + 0.713317i \(0.747192\pi\)
\(758\) −1.11738e7 −0.706363
\(759\) −5.23133e6 9.06093e6i −0.329615 0.570911i
\(760\) −1.03154e7 1.78667e7i −0.647814 1.12205i
\(761\) 1.52639e6 + 2.64378e6i 0.0955440 + 0.165487i 0.909836 0.414969i \(-0.136208\pi\)
−0.814292 + 0.580456i \(0.802874\pi\)
\(762\) 9.55297e6 1.65462e7i 0.596006 1.03231i
\(763\) −5.95279e6 −0.370177
\(764\) 6.24877e6 1.08232e7i 0.387312 0.670844i
\(765\) −7.44782e6 1.29000e7i −0.460125 0.796960i
\(766\) 2.57935e6 0.158832
\(767\) 638857. + 1.10653e6i 0.0392117 + 0.0679166i
\(768\) 1.29736e7 2.24708e7i 0.793699 1.37473i
\(769\) 1.13517e7 1.96616e7i 0.692218 1.19896i −0.278891 0.960323i \(-0.589967\pi\)
0.971109 0.238635i \(-0.0766999\pi\)
\(770\) 2.71983e6 0.165316
\(771\) −9.27502e6 + 1.60648e7i −0.561926 + 0.973284i
\(772\) 1.77626e7 1.07267
\(773\) −1.84887e7