Properties

Label 43.6.c.a.6.7
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 6.7
Character \(\chi\) \(=\) 43.6
Dual form 43.6.c.a.36.7

$q$-expansion

\(f(q)\) \(=\) \(q-3.30883 q^{2} +(-12.3585 + 21.4055i) q^{3} -21.0516 q^{4} +(-32.1287 + 55.6486i) q^{5} +(40.8922 - 70.8273i) q^{6} +(-2.83477 - 4.90997i) q^{7} +175.539 q^{8} +(-183.964 - 318.635i) q^{9} +O(q^{10})\) \(q-3.30883 q^{2} +(-12.3585 + 21.4055i) q^{3} -21.0516 q^{4} +(-32.1287 + 55.6486i) q^{5} +(40.8922 - 70.8273i) q^{6} +(-2.83477 - 4.90997i) q^{7} +175.539 q^{8} +(-183.964 - 318.635i) q^{9} +(106.309 - 184.132i) q^{10} -20.0109 q^{11} +(260.166 - 450.621i) q^{12} +(308.316 + 534.019i) q^{13} +(9.37980 + 16.2463i) q^{14} +(-794.124 - 1375.46i) q^{15} +92.8229 q^{16} +(-987.938 - 1711.16i) q^{17} +(608.707 + 1054.31i) q^{18} +(-488.757 + 846.552i) q^{19} +(676.361 - 1171.49i) q^{20} +140.134 q^{21} +66.2128 q^{22} +(-165.175 + 286.091i) q^{23} +(-2169.40 + 3757.50i) q^{24} +(-502.008 - 869.503i) q^{25} +(-1020.17 - 1766.98i) q^{26} +3087.86 q^{27} +(59.6766 + 103.363i) q^{28} +(4087.98 + 7080.58i) q^{29} +(2627.62 + 4551.18i) q^{30} +(2161.10 - 3743.14i) q^{31} -5924.38 q^{32} +(247.305 - 428.345i) q^{33} +(3268.92 + 5661.94i) q^{34} +364.311 q^{35} +(3872.75 + 6707.79i) q^{36} +(3707.25 - 6421.15i) q^{37} +(1617.22 - 2801.10i) q^{38} -15241.3 q^{39} +(-5639.84 + 9768.49i) q^{40} -18961.8 q^{41} -463.680 q^{42} +(-8008.53 - 9103.40i) q^{43} +421.263 q^{44} +23642.1 q^{45} +(546.536 - 946.628i) q^{46} -7983.99 q^{47} +(-1147.15 + 1986.92i) q^{48} +(8387.43 - 14527.5i) q^{49} +(1661.06 + 2877.04i) q^{50} +48837.7 q^{51} +(-6490.55 - 11242.0i) q^{52} +(11296.3 - 19565.8i) q^{53} -10217.2 q^{54} +(642.925 - 1113.58i) q^{55} +(-497.613 - 861.892i) q^{56} +(-12080.6 - 20924.2i) q^{57} +(-13526.4 - 23428.5i) q^{58} -22587.1 q^{59} +(16717.6 + 28955.7i) q^{60} +(1052.98 + 1823.81i) q^{61} +(-7150.73 + 12385.4i) q^{62} +(-1042.99 + 1806.52i) q^{63} +16632.5 q^{64} -39623.2 q^{65} +(-818.290 + 1417.32i) q^{66} +(-11191.7 + 19384.7i) q^{67} +(20797.7 + 36022.7i) q^{68} +(-4082.62 - 7071.31i) q^{69} -1205.44 q^{70} +(2483.70 + 4301.89i) q^{71} +(-32292.9 - 55932.9i) q^{72} +(-16393.1 - 28393.7i) q^{73} +(-12266.7 + 21246.5i) q^{74} +24816.2 q^{75} +(10289.1 - 17821.3i) q^{76} +(56.7265 + 98.2532i) q^{77} +50430.8 q^{78} +(26323.6 + 45593.7i) q^{79} +(-2982.28 + 5165.46i) q^{80} +(6542.10 - 11331.3i) q^{81} +62741.5 q^{82} +(-58362.7 + 101087. i) q^{83} -2950.05 q^{84} +126965. q^{85} +(26498.9 + 30121.6i) q^{86} -202085. q^{87} -3512.70 q^{88} +(19352.1 - 33518.8i) q^{89} -78227.9 q^{90} +(1748.01 - 3027.65i) q^{91} +(3477.20 - 6022.68i) q^{92} +(53415.9 + 92519.1i) q^{93} +26417.7 q^{94} +(-31406.3 - 54397.3i) q^{95} +(73216.4 - 126815. i) q^{96} +75843.3 q^{97} +(-27752.6 + 48068.9i) q^{98} +(3681.30 + 6376.19i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.30883 −0.584925 −0.292462 0.956277i \(-0.594475\pi\)
−0.292462 + 0.956277i \(0.594475\pi\)
\(3\) −12.3585 + 21.4055i −0.792797 + 1.37316i 0.131431 + 0.991325i \(0.458043\pi\)
−0.924229 + 0.381840i \(0.875291\pi\)
\(4\) −21.0516 −0.657863
\(5\) −32.1287 + 55.6486i −0.574736 + 0.995472i 0.421334 + 0.906905i \(0.361562\pi\)
−0.996070 + 0.0885663i \(0.971771\pi\)
\(6\) 40.8922 70.8273i 0.463727 0.803198i
\(7\) −2.83477 4.90997i −0.0218662 0.0378734i 0.854885 0.518817i \(-0.173627\pi\)
−0.876751 + 0.480944i \(0.840294\pi\)
\(8\) 175.539 0.969725
\(9\) −183.964 318.635i −0.757055 1.31126i
\(10\) 106.309 184.132i 0.336177 0.582276i
\(11\) −20.0109 −0.0498638 −0.0249319 0.999689i \(-0.507937\pi\)
−0.0249319 + 0.999689i \(0.507937\pi\)
\(12\) 260.166 450.621i 0.521552 0.903355i
\(13\) 308.316 + 534.019i 0.505985 + 0.876392i 0.999976 + 0.00692491i \(0.00220428\pi\)
−0.493991 + 0.869467i \(0.664462\pi\)
\(14\) 9.37980 + 16.2463i 0.0127901 + 0.0221531i
\(15\) −794.124 1375.46i −0.911298 1.57841i
\(16\) 92.8229 0.0906473
\(17\) −987.938 1711.16i −0.829101 1.43605i −0.898744 0.438473i \(-0.855519\pi\)
0.0696433 0.997572i \(-0.477814\pi\)
\(18\) 608.707 + 1054.31i 0.442820 + 0.766987i
\(19\) −488.757 + 846.552i −0.310605 + 0.537984i −0.978494 0.206277i \(-0.933865\pi\)
0.667888 + 0.744262i \(0.267198\pi\)
\(20\) 676.361 1171.49i 0.378098 0.654884i
\(21\) 140.134 0.0693419
\(22\) 66.2128 0.0291666
\(23\) −165.175 + 286.091i −0.0651065 + 0.112768i −0.896741 0.442555i \(-0.854072\pi\)
0.831635 + 0.555323i \(0.187405\pi\)
\(24\) −2169.40 + 3757.50i −0.768795 + 1.33159i
\(25\) −502.008 869.503i −0.160642 0.278241i
\(26\) −1020.17 1766.98i −0.295963 0.512623i
\(27\) 3087.86 0.815169
\(28\) 59.6766 + 103.363i 0.0143850 + 0.0249155i
\(29\) 4087.98 + 7080.58i 0.902638 + 1.56341i 0.824057 + 0.566507i \(0.191705\pi\)
0.0785806 + 0.996908i \(0.474961\pi\)
\(30\) 2627.62 + 4551.18i 0.533040 + 0.923253i
\(31\) 2161.10 3743.14i 0.403897 0.699571i −0.590295 0.807188i \(-0.700989\pi\)
0.994192 + 0.107617i \(0.0343219\pi\)
\(32\) −5924.38 −1.02275
\(33\) 247.305 428.345i 0.0395319 0.0684713i
\(34\) 3268.92 + 5661.94i 0.484962 + 0.839978i
\(35\) 364.311 0.0502692
\(36\) 3872.75 + 6707.79i 0.498038 + 0.862628i
\(37\) 3707.25 6421.15i 0.445193 0.771096i −0.552873 0.833265i \(-0.686469\pi\)
0.998066 + 0.0621694i \(0.0198019\pi\)
\(38\) 1617.22 2801.10i 0.181681 0.314680i
\(39\) −15241.3 −1.60457
\(40\) −5639.84 + 9768.49i −0.557336 + 0.965334i
\(41\) −18961.8 −1.76165 −0.880826 0.473440i \(-0.843012\pi\)
−0.880826 + 0.473440i \(0.843012\pi\)
\(42\) −463.680 −0.0405598
\(43\) −8008.53 9103.40i −0.660513 0.750814i
\(44\) 421.263 0.0328036
\(45\) 23642.1 1.74043
\(46\) 546.536 946.628i 0.0380824 0.0659606i
\(47\) −7983.99 −0.527200 −0.263600 0.964632i \(-0.584910\pi\)
−0.263600 + 0.964632i \(0.584910\pi\)
\(48\) −1147.15 + 1986.92i −0.0718649 + 0.124474i
\(49\) 8387.43 14527.5i 0.499044 0.864369i
\(50\) 1661.06 + 2877.04i 0.0939637 + 0.162750i
\(51\) 48837.7 2.62924
\(52\) −6490.55 11242.0i −0.332869 0.576546i
\(53\) 11296.3 19565.8i 0.552393 0.956772i −0.445709 0.895178i \(-0.647048\pi\)
0.998101 0.0615941i \(-0.0196184\pi\)
\(54\) −10217.2 −0.476812
\(55\) 642.925 1113.58i 0.0286585 0.0496380i
\(56\) −497.613 861.892i −0.0212042 0.0367268i
\(57\) −12080.6 20924.2i −0.492494 0.853025i
\(58\) −13526.4 23428.5i −0.527975 0.914480i
\(59\) −22587.1 −0.844753 −0.422377 0.906420i \(-0.638804\pi\)
−0.422377 + 0.906420i \(0.638804\pi\)
\(60\) 16717.6 + 28955.7i 0.599509 + 1.03838i
\(61\) 1052.98 + 1823.81i 0.0362321 + 0.0627559i 0.883573 0.468294i \(-0.155131\pi\)
−0.847341 + 0.531050i \(0.821798\pi\)
\(62\) −7150.73 + 12385.4i −0.236250 + 0.409196i
\(63\) −1042.99 + 1806.52i −0.0331078 + 0.0573444i
\(64\) 16632.5 0.507582
\(65\) −39623.2 −1.16323
\(66\) −818.290 + 1417.32i −0.0231232 + 0.0400505i
\(67\) −11191.7 + 19384.7i −0.304586 + 0.527559i −0.977169 0.212463i \(-0.931852\pi\)
0.672583 + 0.740022i \(0.265185\pi\)
\(68\) 20797.7 + 36022.7i 0.545435 + 0.944721i
\(69\) −4082.62 7071.31i −0.103232 0.178804i
\(70\) −1205.44 −0.0294037
\(71\) 2483.70 + 4301.89i 0.0584727 + 0.101278i 0.893780 0.448506i \(-0.148044\pi\)
−0.835307 + 0.549783i \(0.814710\pi\)
\(72\) −32292.9 55932.9i −0.734135 1.27156i
\(73\) −16393.1 28393.7i −0.360042 0.623612i 0.627925 0.778274i \(-0.283904\pi\)
−0.987967 + 0.154662i \(0.950571\pi\)
\(74\) −12266.7 + 21246.5i −0.260404 + 0.451033i
\(75\) 24816.2 0.509428
\(76\) 10289.1 17821.3i 0.204336 0.353920i
\(77\) 56.7265 + 98.2532i 0.00109033 + 0.00188851i
\(78\) 50430.8 0.938555
\(79\) 26323.6 + 45593.7i 0.474544 + 0.821935i 0.999575 0.0291484i \(-0.00927953\pi\)
−0.525031 + 0.851083i \(0.675946\pi\)
\(80\) −2982.28 + 5165.46i −0.0520983 + 0.0902368i
\(81\) 6542.10 11331.3i 0.110791 0.191896i
\(82\) 62741.5 1.03043
\(83\) −58362.7 + 101087.i −0.929908 + 1.61065i −0.146437 + 0.989220i \(0.546781\pi\)
−0.783471 + 0.621428i \(0.786553\pi\)
\(84\) −2950.05 −0.0456175
\(85\) 126965. 1.90606
\(86\) 26498.9 + 30121.6i 0.386350 + 0.439170i
\(87\) −202085. −2.86243
\(88\) −3512.70 −0.0483542
\(89\) 19352.1 33518.8i 0.258972 0.448553i −0.706995 0.707219i \(-0.749950\pi\)
0.965967 + 0.258666i \(0.0832829\pi\)
\(90\) −78227.9 −1.01802
\(91\) 1748.01 3027.65i 0.0221280 0.0383267i
\(92\) 3477.20 6022.68i 0.0428312 0.0741858i
\(93\) 53415.9 + 92519.1i 0.640418 + 1.10924i
\(94\) 26417.7 0.308372
\(95\) −31406.3 54397.3i −0.357032 0.618398i
\(96\) 73216.4 126815.i 0.810831 1.40440i
\(97\) 75843.3 0.818442 0.409221 0.912435i \(-0.365801\pi\)
0.409221 + 0.912435i \(0.365801\pi\)
\(98\) −27752.6 + 48068.9i −0.291903 + 0.505591i
\(99\) 3681.30 + 6376.19i 0.0377496 + 0.0653843i
\(100\) 10568.1 + 18304.4i 0.105681 + 0.183044i
\(101\) 17528.7 + 30360.7i 0.170981 + 0.296147i 0.938763 0.344564i \(-0.111973\pi\)
−0.767782 + 0.640711i \(0.778640\pi\)
\(102\) −161596. −1.53790
\(103\) 30269.3 + 52428.0i 0.281131 + 0.486934i 0.971664 0.236368i \(-0.0759570\pi\)
−0.690532 + 0.723302i \(0.742624\pi\)
\(104\) 54121.5 + 93741.2i 0.490666 + 0.849859i
\(105\) −4502.33 + 7798.26i −0.0398533 + 0.0690279i
\(106\) −37377.7 + 64740.1i −0.323108 + 0.559640i
\(107\) −212499. −1.79431 −0.897155 0.441716i \(-0.854370\pi\)
−0.897155 + 0.441716i \(0.854370\pi\)
\(108\) −65004.4 −0.536270
\(109\) 95684.1 165730.i 0.771390 1.33609i −0.165412 0.986225i \(-0.552895\pi\)
0.936801 0.349861i \(-0.113771\pi\)
\(110\) −2127.33 + 3684.65i −0.0167631 + 0.0290345i
\(111\) 91632.0 + 158711.i 0.705895 + 1.22265i
\(112\) −263.132 455.758i −0.00198211 0.00343312i
\(113\) −8628.08 −0.0635650 −0.0317825 0.999495i \(-0.510118\pi\)
−0.0317825 + 0.999495i \(0.510118\pi\)
\(114\) 39972.7 + 69234.7i 0.288072 + 0.498955i
\(115\) −10613.7 18383.5i −0.0748381 0.129623i
\(116\) −86058.6 149058.i −0.593812 1.02851i
\(117\) 113438. 196481.i 0.766117 1.32695i
\(118\) 74736.8 0.494117
\(119\) −5601.16 + 9701.50i −0.0362586 + 0.0628017i
\(120\) −139400. 241447.i −0.883708 1.53063i
\(121\) −160651. −0.997514
\(122\) −3484.12 6034.68i −0.0211931 0.0367075i
\(123\) 234339. 405887.i 1.39663 2.41904i
\(124\) −45494.7 + 78799.2i −0.265709 + 0.460222i
\(125\) −136289. −0.780164
\(126\) 3451.10 5977.47i 0.0193656 0.0335422i
\(127\) 63460.0 0.349133 0.174566 0.984645i \(-0.444148\pi\)
0.174566 + 0.984645i \(0.444148\pi\)
\(128\) 134546. 0.725849
\(129\) 293836. 58922.4i 1.55465 0.311750i
\(130\) 131107. 0.680402
\(131\) 207196. 1.05488 0.527439 0.849593i \(-0.323152\pi\)
0.527439 + 0.849593i \(0.323152\pi\)
\(132\) −5206.17 + 9017.35i −0.0260066 + 0.0450447i
\(133\) 5542.07 0.0271671
\(134\) 37031.6 64140.6i 0.178160 0.308582i
\(135\) −99208.8 + 171835.i −0.468507 + 0.811477i
\(136\) −173422. 300375.i −0.804000 1.39257i
\(137\) −186818. −0.850387 −0.425194 0.905102i \(-0.639794\pi\)
−0.425194 + 0.905102i \(0.639794\pi\)
\(138\) 13508.7 + 23397.8i 0.0603832 + 0.104587i
\(139\) −214739. + 371939.i −0.942702 + 1.63281i −0.182413 + 0.983222i \(0.558391\pi\)
−0.760289 + 0.649585i \(0.774943\pi\)
\(140\) −7669.33 −0.0330702
\(141\) 98670.0 170901.i 0.417962 0.723932i
\(142\) −8218.14 14234.2i −0.0342021 0.0592398i
\(143\) −6169.69 10686.2i −0.0252304 0.0437003i
\(144\) −17076.1 29576.7i −0.0686250 0.118862i
\(145\) −525366. −2.07511
\(146\) 54242.0 + 93949.9i 0.210598 + 0.364766i
\(147\) 207312. + 359075.i 0.791281 + 1.37054i
\(148\) −78043.7 + 135176.i −0.292876 + 0.507276i
\(149\) −143722. + 248933.i −0.530343 + 0.918580i 0.469031 + 0.883182i \(0.344603\pi\)
−0.999373 + 0.0353985i \(0.988730\pi\)
\(150\) −82112.7 −0.297977
\(151\) 168989. 0.603136 0.301568 0.953445i \(-0.402490\pi\)
0.301568 + 0.953445i \(0.402490\pi\)
\(152\) −85795.9 + 148603.i −0.301202 + 0.521697i
\(153\) −363491. + 629584.i −1.25535 + 2.17433i
\(154\) −187.699 325.103i −0.000637763 0.00110464i
\(155\) 138867. + 240524.i 0.464269 + 0.804137i
\(156\) 320854. 1.05559
\(157\) −168011. 291003.i −0.543986 0.942212i −0.998670 0.0515591i \(-0.983581\pi\)
0.454683 0.890653i \(-0.349752\pi\)
\(158\) −87100.2 150862.i −0.277573 0.480770i
\(159\) 279211. + 483608.i 0.875871 + 1.51705i
\(160\) 190343. 329683.i 0.587809 1.01812i
\(161\) 1872.93 0.00569453
\(162\) −21646.7 + 37493.2i −0.0648044 + 0.112245i
\(163\) −25197.1 43642.7i −0.0742818 0.128660i 0.826492 0.562949i \(-0.190333\pi\)
−0.900774 + 0.434289i \(0.857000\pi\)
\(164\) 399177. 1.15893
\(165\) 15891.2 + 27524.3i 0.0454408 + 0.0787058i
\(166\) 193112. 334480.i 0.543926 0.942108i
\(167\) 56790.1 98363.3i 0.157573 0.272924i −0.776420 0.630216i \(-0.782966\pi\)
0.933993 + 0.357292i \(0.116300\pi\)
\(168\) 24599.0 0.0672425
\(169\) −4471.10 + 7744.16i −0.0120420 + 0.0208573i
\(170\) −420105. −1.11490
\(171\) 359655. 0.940581
\(172\) 168592. + 191641.i 0.434527 + 0.493933i
\(173\) −665668. −1.69099 −0.845497 0.533980i \(-0.820696\pi\)
−0.845497 + 0.533980i \(0.820696\pi\)
\(174\) 668665. 1.67431
\(175\) −2846.16 + 4929.69i −0.00702528 + 0.0121681i
\(176\) −1857.47 −0.00452002
\(177\) 279142. 483488.i 0.669718 1.15999i
\(178\) −64032.8 + 110908.i −0.151479 + 0.262369i
\(179\) −384361. 665733.i −0.896616 1.55299i −0.831791 0.555089i \(-0.812684\pi\)
−0.0648252 0.997897i \(-0.520649\pi\)
\(180\) −497705. −1.14496
\(181\) 172445. + 298683.i 0.391249 + 0.677664i 0.992615 0.121311i \(-0.0387097\pi\)
−0.601365 + 0.798974i \(0.705376\pi\)
\(182\) −5783.88 + 10018.0i −0.0129432 + 0.0224183i
\(183\) −52052.8 −0.114899
\(184\) −28994.6 + 50220.2i −0.0631354 + 0.109354i
\(185\) 238218. + 412606.i 0.511736 + 0.886353i
\(186\) −176744. 306130.i −0.374596 0.648819i
\(187\) 19769.6 + 34241.9i 0.0413422 + 0.0716067i
\(188\) 168076. 0.346825
\(189\) −8753.38 15161.3i −0.0178247 0.0308732i
\(190\) 103918. + 179991.i 0.208837 + 0.361716i
\(191\) −154690. + 267932.i −0.306817 + 0.531423i −0.977664 0.210173i \(-0.932597\pi\)
0.670847 + 0.741596i \(0.265931\pi\)
\(192\) −205552. + 356027.i −0.402410 + 0.696994i
\(193\) 145315. 0.280813 0.140406 0.990094i \(-0.455159\pi\)
0.140406 + 0.990094i \(0.455159\pi\)
\(194\) −250953. −0.478727
\(195\) 489683. 848155.i 0.922206 1.59731i
\(196\) −176569. + 305826.i −0.328303 + 0.568637i
\(197\) −8366.37 14491.0i −0.0153593 0.0266031i 0.858244 0.513243i \(-0.171556\pi\)
−0.873603 + 0.486639i \(0.838223\pi\)
\(198\) −12180.8 21097.8i −0.0220807 0.0382449i
\(199\) −1.00459e6 −1.79827 −0.899134 0.437674i \(-0.855802\pi\)
−0.899134 + 0.437674i \(0.855802\pi\)
\(200\) −88121.9 152632.i −0.155779 0.269817i
\(201\) −276626. 479130.i −0.482950 0.836495i
\(202\) −57999.7 100458.i −0.100011 0.173224i
\(203\) 23177.0 40143.7i 0.0394745 0.0683719i
\(204\) −1.02811e6 −1.72968
\(205\) 609218. 1.05520e6i 1.01248 1.75367i
\(206\) −100156. 173475.i −0.164441 0.284820i
\(207\) 121545. 0.197157
\(208\) 28618.8 + 49569.2i 0.0458662 + 0.0794426i
\(209\) 9780.49 16940.3i 0.0154880 0.0268260i
\(210\) 14897.4 25803.1i 0.0233111 0.0403761i
\(211\) 1.06401e6 1.64528 0.822642 0.568560i \(-0.192499\pi\)
0.822642 + 0.568560i \(0.192499\pi\)
\(212\) −237806. + 411892.i −0.363399 + 0.629425i
\(213\) −122779. −0.185428
\(214\) 703124. 1.04954
\(215\) 763895. 153182.i 1.12704 0.226002i
\(216\) 542039. 0.790490
\(217\) −24505.0 −0.0353268
\(218\) −316603. + 548372.i −0.451205 + 0.781509i
\(219\) 810375. 1.14176
\(220\) −13534.6 + 23442.7i −0.0188534 + 0.0326550i
\(221\) 609194. 1.05516e6i 0.839026 1.45323i
\(222\) −303195. 525149.i −0.412895 0.715155i
\(223\) −1.38680e6 −1.86746 −0.933730 0.357979i \(-0.883466\pi\)
−0.933730 + 0.357979i \(0.883466\pi\)
\(224\) 16794.3 + 29088.6i 0.0223636 + 0.0387349i
\(225\) −184703. + 319915.i −0.243230 + 0.421287i
\(226\) 28548.9 0.0371807
\(227\) −241584. + 418436.i −0.311175 + 0.538970i −0.978617 0.205691i \(-0.934056\pi\)
0.667442 + 0.744661i \(0.267389\pi\)
\(228\) 254316. + 440489.i 0.323994 + 0.561174i
\(229\) −362471. 627818.i −0.456756 0.791125i 0.542031 0.840358i \(-0.317655\pi\)
−0.998787 + 0.0492336i \(0.984322\pi\)
\(230\) 35119.0 + 60827.9i 0.0437746 + 0.0758199i
\(231\) −2804.21 −0.00345765
\(232\) 717599. + 1.24292e6i 0.875310 + 1.51608i
\(233\) −391445. 678003.i −0.472369 0.818167i 0.527131 0.849784i \(-0.323268\pi\)
−0.999500 + 0.0316168i \(0.989934\pi\)
\(234\) −375348. + 650122.i −0.448121 + 0.776168i
\(235\) 256515. 444297.i 0.303001 0.524812i
\(236\) 475494. 0.555732
\(237\) −1.30128e6 −1.50487
\(238\) 18533.3 32100.6i 0.0212085 0.0367343i
\(239\) 284193. 492237.i 0.321824 0.557416i −0.659040 0.752108i \(-0.729037\pi\)
0.980864 + 0.194692i \(0.0623707\pi\)
\(240\) −73712.9 127674.i −0.0826067 0.143079i
\(241\) 748065. + 1.29569e6i 0.829654 + 1.43700i 0.898310 + 0.439362i \(0.144795\pi\)
−0.0686564 + 0.997640i \(0.521871\pi\)
\(242\) 531566. 0.583470
\(243\) 536875. + 929896.i 0.583254 + 1.01023i
\(244\) −22166.9 38394.1i −0.0238358 0.0412848i
\(245\) 538954. + 933496.i 0.573637 + 0.993568i
\(246\) −775389. + 1.34301e6i −0.816925 + 1.41496i
\(247\) −602767. −0.628647
\(248\) 379358. 657067.i 0.391669 0.678391i
\(249\) −1.44255e6 2.49857e6i −1.47446 2.55383i
\(250\) 450958. 0.456337
\(251\) 187754. + 325199.i 0.188107 + 0.325810i 0.944619 0.328169i \(-0.106432\pi\)
−0.756512 + 0.653980i \(0.773098\pi\)
\(252\) 21956.7 38030.2i 0.0217804 0.0377248i
\(253\) 3305.30 5724.95i 0.00324646 0.00562303i
\(254\) −209978. −0.204216
\(255\) −1.56909e6 + 2.71775e6i −1.51112 + 2.61733i
\(256\) −977430. −0.932150
\(257\) 555146. 0.524294 0.262147 0.965028i \(-0.415570\pi\)
0.262147 + 0.965028i \(0.415570\pi\)
\(258\) −972255. + 194965.i −0.909350 + 0.182350i
\(259\) −42036.9 −0.0389387
\(260\) 834132. 0.765247
\(261\) 1.50408e6 2.60515e6i 1.36669 2.36718i
\(262\) −685576. −0.617025
\(263\) −716292. + 1.24065e6i −0.638559 + 1.10602i 0.347190 + 0.937795i \(0.387136\pi\)
−0.985749 + 0.168222i \(0.946198\pi\)
\(264\) 43411.6 75191.2i 0.0383351 0.0663983i
\(265\) 725873. + 1.25725e6i 0.634960 + 1.09978i
\(266\) −18337.8 −0.0158907
\(267\) 478325. + 828483.i 0.410624 + 0.711222i
\(268\) 235604. 408078.i 0.200376 0.347062i
\(269\) 83748.1 0.0705658 0.0352829 0.999377i \(-0.488767\pi\)
0.0352829 + 0.999377i \(0.488767\pi\)
\(270\) 328265. 568572.i 0.274041 0.474653i
\(271\) −251748. 436040.i −0.208230 0.360665i 0.742927 0.669372i \(-0.233437\pi\)
−0.951157 + 0.308708i \(0.900104\pi\)
\(272\) −91703.2 158835.i −0.0751558 0.130174i
\(273\) 43205.6 + 74834.3i 0.0350860 + 0.0607707i
\(274\) 618149. 0.497413
\(275\) 10045.6 + 17399.6i 0.00801025 + 0.0138742i
\(276\) 85945.8 + 148863.i 0.0679129 + 0.117629i
\(277\) −91509.1 + 158498.i −0.0716580 + 0.124115i −0.899628 0.436657i \(-0.856162\pi\)
0.827970 + 0.560772i \(0.189496\pi\)
\(278\) 710536. 1.23068e6i 0.551409 0.955069i
\(279\) −1.59026e6 −1.22309
\(280\) 63950.7 0.0487473
\(281\) 870095. 1.50705e6i 0.657356 1.13857i −0.323941 0.946077i \(-0.605008\pi\)
0.981297 0.192497i \(-0.0616587\pi\)
\(282\) −326482. + 565484.i −0.244477 + 0.423446i
\(283\) −774855. 1.34209e6i −0.575114 0.996127i −0.996029 0.0890270i \(-0.971624\pi\)
0.420915 0.907100i \(-0.361709\pi\)
\(284\) −52285.9 90561.8i −0.0384670 0.0666268i
\(285\) 1.55254e6 1.13222
\(286\) 20414.5 + 35358.9i 0.0147579 + 0.0255614i
\(287\) 53752.5 + 93102.0i 0.0385207 + 0.0667197i
\(288\) 1.08987e6 + 1.88772e6i 0.774275 + 1.34108i
\(289\) −1.24211e6 + 2.15141e6i −0.874817 + 1.51523i
\(290\) 1.73835e6 1.21378
\(291\) −937308. + 1.62347e6i −0.648858 + 1.12386i
\(292\) 345101. + 597733.i 0.236859 + 0.410251i
\(293\) 500405. 0.340528 0.170264 0.985398i \(-0.445538\pi\)
0.170264 + 0.985398i \(0.445538\pi\)
\(294\) −685960. 1.18812e6i −0.462840 0.801662i
\(295\) 725693. 1.25694e6i 0.485510 0.840928i
\(296\) 650767. 1.12716e6i 0.431714 0.747751i
\(297\) −61790.9 −0.0406474
\(298\) 475551. 823678.i 0.310210 0.537300i
\(299\) −203704. −0.131772
\(300\) −522422. −0.335134
\(301\) −21995.1 + 65127.8i −0.0139930 + 0.0414333i
\(302\) −559156. −0.352789
\(303\) −866514. −0.542212
\(304\) −45367.8 + 78579.4i −0.0281556 + 0.0487669i
\(305\) −135323. −0.0832956
\(306\) 1.20273e6 2.08319e6i 0.734285 1.27182i
\(307\) −254396. + 440627.i −0.154051 + 0.266824i −0.932713 0.360619i \(-0.882565\pi\)
0.778662 + 0.627444i \(0.215899\pi\)
\(308\) −1194.18 2068.39i −0.000717290 0.00124238i
\(309\) −1.49633e6 −0.891521
\(310\) −459487. 795855.i −0.271562 0.470359i
\(311\) −1.04160e6 + 1.80410e6i −0.610659 + 1.05769i 0.380471 + 0.924793i \(0.375762\pi\)
−0.991130 + 0.132899i \(0.957571\pi\)
\(312\) −2.67544e6 −1.55600
\(313\) 801513. 1.38826e6i 0.462434 0.800959i −0.536648 0.843806i \(-0.680310\pi\)
0.999082 + 0.0428474i \(0.0136429\pi\)
\(314\) 555920. + 962881.i 0.318191 + 0.551123i
\(315\) −67020.1 116082.i −0.0380565 0.0659158i
\(316\) −554154. 959822.i −0.312185 0.540721i
\(317\) 649471. 0.363004 0.181502 0.983391i \(-0.441904\pi\)
0.181502 + 0.983391i \(0.441904\pi\)
\(318\) −923863. 1.60018e6i −0.512318 0.887361i
\(319\) −81804.3 141689.i −0.0450090 0.0779578i
\(320\) −534379. + 925572.i −0.291726 + 0.505284i
\(321\) 2.62617e6 4.54865e6i 1.42252 2.46388i
\(322\) −6197.23 −0.00333087
\(323\) 1.93145e6 1.03009
\(324\) −137722. + 238541.i −0.0728854 + 0.126241i
\(325\) 309554. 536163.i 0.162565 0.281572i
\(326\) 83373.1 + 144407.i 0.0434492 + 0.0752563i
\(327\) 2.36502e6 + 4.09634e6i 1.22311 + 2.11849i
\(328\) −3.32854e6 −1.70832
\(329\) 22632.8 + 39201.2i 0.0115279 + 0.0199668i
\(330\) −52581.2 91073.4i −0.0265794 0.0460369i
\(331\) −317554. 550020.i −0.159312 0.275936i 0.775309 0.631582i \(-0.217594\pi\)
−0.934621 + 0.355646i \(0.884261\pi\)
\(332\) 1.22863e6 2.12805e6i 0.611752 1.05959i
\(333\) −2.72801e6 −1.34814
\(334\) −187909. + 325468.i −0.0921682 + 0.159640i
\(335\) −719152. 1.24561e6i −0.350113 0.606414i
\(336\) 13007.6 0.00628566
\(337\) 1.51398e6 + 2.62229e6i 0.726181 + 1.25778i 0.958486 + 0.285140i \(0.0920401\pi\)
−0.232305 + 0.972643i \(0.574627\pi\)
\(338\) 14794.1 25624.1i 0.00704364 0.0121999i
\(339\) 106630. 184689.i 0.0503941 0.0872852i
\(340\) −2.67281e6 −1.25392
\(341\) −43245.7 + 74903.7i −0.0201399 + 0.0348833i
\(342\) −1.19004e6 −0.550169
\(343\) −190394. −0.0873812
\(344\) −1.40581e6 1.59800e6i −0.640516 0.728084i
\(345\) 524677. 0.237326
\(346\) 2.20258e6 0.989104
\(347\) 787223. 1.36351e6i 0.350973 0.607903i −0.635447 0.772144i \(-0.719184\pi\)
0.986420 + 0.164241i \(0.0525175\pi\)
\(348\) 4.25421e6 1.88309
\(349\) −1.12178e6 + 1.94297e6i −0.492995 + 0.853893i −0.999967 0.00806979i \(-0.997431\pi\)
0.506972 + 0.861962i \(0.330765\pi\)
\(350\) 9417.46 16311.5i 0.00410926 0.00711745i
\(351\) 952036. + 1.64897e6i 0.412463 + 0.714407i
\(352\) 118552. 0.0509981
\(353\) −1.09997e6 1.90520e6i −0.469832 0.813773i 0.529573 0.848264i \(-0.322352\pi\)
−0.999405 + 0.0344914i \(0.989019\pi\)
\(354\) −923634. + 1.59978e6i −0.391734 + 0.678504i
\(355\) −319192. −0.134425
\(356\) −407393. + 705625.i −0.170368 + 0.295086i
\(357\) −138444. 239792.i −0.0574914 0.0995781i
\(358\) 1.27179e6 + 2.20280e6i 0.524453 + 0.908379i
\(359\) 117788. + 204014.i 0.0482351 + 0.0835457i 0.889135 0.457645i \(-0.151307\pi\)
−0.840900 + 0.541191i \(0.817974\pi\)
\(360\) 4.15012e6 1.68773
\(361\) 760282. + 1.31685e6i 0.307048 + 0.531824i
\(362\) −570591. 988292.i −0.228851 0.396382i
\(363\) 1.98540e6 3.43881e6i 0.790826 1.36975i
\(364\) −36798.5 + 63736.9i −0.0145572 + 0.0252138i
\(365\) 2.10676e6 0.827717
\(366\) 172234. 0.0672072
\(367\) −1.59744e6 + 2.76684e6i −0.619096 + 1.07231i 0.370555 + 0.928811i \(0.379168\pi\)
−0.989651 + 0.143495i \(0.954166\pi\)
\(368\) −15332.0 + 26555.8i −0.00590173 + 0.0102221i
\(369\) 3.48830e6 + 6.04191e6i 1.33367 + 2.30998i
\(370\) −788225. 1.36525e6i −0.299327 0.518450i
\(371\) −128090. −0.0483149
\(372\) −1.12449e6 1.94768e6i −0.421307 0.729725i
\(373\) −558212. 966852.i −0.207743 0.359822i 0.743260 0.669003i \(-0.233279\pi\)
−0.951003 + 0.309181i \(0.899945\pi\)
\(374\) −65414.2 113301.i −0.0241820 0.0418845i
\(375\) 1.68433e6 2.91734e6i 0.618512 1.07129i
\(376\) −1.40150e6 −0.511239
\(377\) −2.52078e6 + 4.36612e6i −0.913443 + 1.58213i
\(378\) 28963.5 + 50166.2i 0.0104261 + 0.0180585i
\(379\) −1.69907e6 −0.607593 −0.303797 0.952737i \(-0.598254\pi\)
−0.303797 + 0.952737i \(0.598254\pi\)
\(380\) 661153. + 1.14515e6i 0.234878 + 0.406821i
\(381\) −784269. + 1.35839e6i −0.276791 + 0.479417i
\(382\) 511845. 886541.i 0.179465 0.310842i
\(383\) −2.65539e6 −0.924978 −0.462489 0.886625i \(-0.653044\pi\)
−0.462489 + 0.886625i \(0.653044\pi\)
\(384\) −1.66279e6 + 2.88003e6i −0.575451 + 0.996711i
\(385\) −7290.20 −0.00250661
\(386\) −480823. −0.164254
\(387\) −1.42738e6 + 4.22650e6i −0.484466 + 1.43451i
\(388\) −1.59662e6 −0.538423
\(389\) −4.12416e6 −1.38185 −0.690926 0.722925i \(-0.742797\pi\)
−0.690926 + 0.722925i \(0.742797\pi\)
\(390\) −1.62028e6 + 2.80640e6i −0.539421 + 0.934305i
\(391\) 652730. 0.215919
\(392\) 1.47232e6 2.55013e6i 0.483935 0.838200i
\(393\) −2.56063e6 + 4.43513e6i −0.836305 + 1.44852i
\(394\) 27682.9 + 47948.2i 0.00898404 + 0.0155608i
\(395\) −3.38297e6 −1.09095
\(396\) −77497.3 134229.i −0.0248341 0.0430139i
\(397\) 818075. 1.41695e6i 0.260506 0.451209i −0.705871 0.708341i \(-0.749444\pi\)
0.966376 + 0.257132i \(0.0827774\pi\)
\(398\) 3.32401e6 1.05185
\(399\) −68491.5 + 118631.i −0.0215380 + 0.0373049i
\(400\) −46597.8 80709.7i −0.0145618 0.0252218i
\(401\) −931084. 1.61268e6i −0.289153 0.500828i 0.684455 0.729055i \(-0.260040\pi\)
−0.973608 + 0.228227i \(0.926707\pi\)
\(402\) 915308. + 1.58536e6i 0.282490 + 0.489286i
\(403\) 2.66521e6 0.817464
\(404\) −369008. 639141.i −0.112482 0.194824i
\(405\) 420379. + 728117.i 0.127351 + 0.220579i
\(406\) −76688.8 + 132829.i −0.0230896 + 0.0399924i
\(407\) −74185.6 + 128493.i −0.0221990 + 0.0384498i
\(408\) 8.57291e6 2.54964
\(409\) 5.04001e6 1.48978 0.744892 0.667185i \(-0.232501\pi\)
0.744892 + 0.667185i \(0.232501\pi\)
\(410\) −2.01580e6 + 3.49147e6i −0.592227 + 1.02577i
\(411\) 2.30878e6 3.99893e6i 0.674185 1.16772i
\(412\) −637218. 1.10369e6i −0.184946 0.320336i
\(413\) 64029.3 + 110902.i 0.0184715 + 0.0319937i
\(414\) −402172. −0.115322
\(415\) −3.75024e6 6.49560e6i −1.06890 1.85139i
\(416\) −1.82658e6 3.16373e6i −0.517495 0.896327i
\(417\) −5.30770e6 9.19321e6i −1.49474 2.58897i
\(418\) −32362.0 + 56052.6i −0.00905930 + 0.0156912i
\(419\) 4.75356e6 1.32277 0.661385 0.750047i \(-0.269969\pi\)
0.661385 + 0.750047i \(0.269969\pi\)
\(420\) 94781.3 164166.i 0.0262180 0.0454109i
\(421\) 1.33283e6 + 2.30854e6i 0.366497 + 0.634792i 0.989015 0.147814i \(-0.0472236\pi\)
−0.622518 + 0.782605i \(0.713890\pi\)
\(422\) −3.52064e6 −0.962367
\(423\) 1.46877e6 + 2.54398e6i 0.399119 + 0.691294i
\(424\) 1.98295e6 3.43457e6i 0.535669 0.927806i
\(425\) −991905. + 1.71803e6i −0.266378 + 0.461380i
\(426\) 406255. 0.108461
\(427\) 5969.90 10340.2i 0.00158452 0.00274447i
\(428\) 4.47345e6 1.18041
\(429\) 304992. 0.0800102
\(430\) −2.52760e6 + 506855.i −0.659230 + 0.132194i
\(431\) 4.96901e6 1.28848 0.644239 0.764825i \(-0.277174\pi\)
0.644239 + 0.764825i \(0.277174\pi\)
\(432\) 286624. 0.0738929
\(433\) 1.64591e6 2.85080e6i 0.421877 0.730713i −0.574246 0.818683i \(-0.694705\pi\)
0.996123 + 0.0879702i \(0.0280380\pi\)
\(434\) 81082.8 0.0206635
\(435\) 6.49272e6 1.12457e7i 1.64514 2.84947i
\(436\) −2.01431e6 + 3.48888e6i −0.507469 + 0.878962i
\(437\) −161461. 279658.i −0.0404449 0.0700526i
\(438\) −2.68140e6 −0.667845
\(439\) −330222. 571962.i −0.0817796 0.141646i 0.822235 0.569148i \(-0.192727\pi\)
−0.904014 + 0.427502i \(0.859394\pi\)
\(440\) 112858. 195477.i 0.0277909 0.0481352i
\(441\) −6.17195e6 −1.51121
\(442\) −2.01572e6 + 3.49133e6i −0.490767 + 0.850033i
\(443\) −485243. 840466.i −0.117476 0.203475i 0.801291 0.598275i \(-0.204147\pi\)
−0.918767 + 0.394800i \(0.870814\pi\)
\(444\) −1.92900e6 3.34113e6i −0.464382 0.804334i
\(445\) 1.24351e6 + 2.15383e6i 0.297681 + 0.515598i
\(446\) 4.58868e6 1.09232
\(447\) −3.55236e6 6.15287e6i −0.840908 1.45650i
\(448\) −47149.3 81664.9i −0.0110989 0.0192239i
\(449\) −2.13071e6 + 3.69050e6i −0.498779 + 0.863911i −0.999999 0.00140891i \(-0.999552\pi\)
0.501220 + 0.865320i \(0.332885\pi\)
\(450\) 611151. 1.05855e6i 0.142271 0.246421i
\(451\) 379444. 0.0878427
\(452\) 181635. 0.0418171
\(453\) −2.08845e6 + 3.61729e6i −0.478165 + 0.828206i
\(454\) 799362. 1.38454e6i 0.182014 0.315257i
\(455\) 112323. + 194549.i 0.0254355 + 0.0440555i
\(456\) −2.12062e6 3.67301e6i −0.477584 0.827200i
\(457\) 1.91792e6 0.429577 0.214788 0.976661i \(-0.431094\pi\)
0.214788 + 0.976661i \(0.431094\pi\)
\(458\) 1.19936e6 + 2.07734e6i 0.267168 + 0.462748i
\(459\) −3.05061e6 5.28381e6i −0.675857 1.17062i
\(460\) 223436. + 387002.i 0.0492332 + 0.0852744i
\(461\) 358554. 621034.i 0.0785783 0.136102i −0.824058 0.566505i \(-0.808295\pi\)
0.902637 + 0.430403i \(0.141629\pi\)
\(462\) 9278.68 0.00202247
\(463\) −2.56030e6 + 4.43457e6i −0.555058 + 0.961388i 0.442841 + 0.896600i \(0.353970\pi\)
−0.997899 + 0.0647880i \(0.979363\pi\)
\(464\) 379458. + 657240.i 0.0818217 + 0.141719i
\(465\) −6.86474e6 −1.47228
\(466\) 1.29523e6 + 2.24340e6i 0.276300 + 0.478566i
\(467\) −1.83744e6 + 3.18254e6i −0.389871 + 0.675276i −0.992432 0.122797i \(-0.960814\pi\)
0.602561 + 0.798073i \(0.294147\pi\)
\(468\) −2.38806e6 + 4.13624e6i −0.504000 + 0.872954i
\(469\) 126904. 0.0266406
\(470\) −848766. + 1.47011e6i −0.177232 + 0.306976i
\(471\) 8.30544e6 1.72508
\(472\) −3.96491e6 −0.819178
\(473\) 160258. + 182168.i 0.0329357 + 0.0374385i
\(474\) 4.30571e6 0.880235
\(475\) 981439. 0.199586
\(476\) 117914. 204232.i 0.0238532 0.0413149i
\(477\) −8.31249e6 −1.67277
\(478\) −940347. + 1.62873e6i −0.188243 + 0.326046i
\(479\) 170737. 295725.i 0.0340007 0.0588910i −0.848524 0.529156i \(-0.822508\pi\)
0.882525 + 0.470265i \(0.155842\pi\)
\(480\) 4.70470e6 + 8.14877e6i 0.932027 + 1.61432i
\(481\) 4.57202e6 0.901043
\(482\) −2.47522e6 4.28721e6i −0.485285 0.840538i
\(483\) −23146.6 + 40091.1i −0.00451461 + 0.00781953i
\(484\) 3.38196e6 0.656228
\(485\) −2.43675e6 + 4.22057e6i −0.470388 + 0.814736i
\(486\) −1.77643e6 3.07687e6i −0.341160 0.590906i
\(487\) 872489. + 1.51120e6i 0.166701 + 0.288734i 0.937258 0.348637i \(-0.113355\pi\)
−0.770557 + 0.637371i \(0.780022\pi\)
\(488\) 184838. + 320149.i 0.0351352 + 0.0608560i
\(489\) 1.24559e6 0.235562
\(490\) −1.78331e6 3.08878e6i −0.335534 0.581162i
\(491\) 1.80519e6 + 3.12668e6i 0.337924 + 0.585301i 0.984042 0.177936i \(-0.0569420\pi\)
−0.646118 + 0.763237i \(0.723609\pi\)
\(492\) −4.93322e6 + 8.54459e6i −0.918793 + 1.59140i
\(493\) 8.07734e6 1.39904e7i 1.49676 2.59246i
\(494\) 1.99445e6 0.367711
\(495\) −473101. −0.0867843
\(496\) 200600. 347449.i 0.0366122 0.0634142i
\(497\) 14081.4 24389.8i 0.00255715 0.00442911i
\(498\) 4.77315e6 + 8.26734e6i 0.862446 + 1.49380i
\(499\) 2.79628e6 + 4.84329e6i 0.502723 + 0.870742i 0.999995 + 0.00314702i \(0.00100173\pi\)
−0.497272 + 0.867595i \(0.665665\pi\)
\(500\) 2.86910e6 0.513241
\(501\) 1.40368e6 + 2.43124e6i 0.249847 + 0.432747i
\(502\) −621246. 1.07603e6i −0.110028 0.190575i
\(503\) −1.62515e6 2.81484e6i −0.286400 0.496059i 0.686548 0.727085i \(-0.259125\pi\)
−0.972948 + 0.231025i \(0.925792\pi\)
\(504\) −183086. + 317115.i −0.0321055 + 0.0556083i
\(505\) −2.25270e6 −0.393075
\(506\) −10936.7 + 18942.9i −0.00189893 + 0.00328905i
\(507\) −110512. 191412.i −0.0190937 0.0330712i
\(508\) −1.33594e6 −0.229682
\(509\) 4.81431e6 + 8.33863e6i 0.823644 + 1.42659i 0.902951 + 0.429744i \(0.141396\pi\)
−0.0793064 + 0.996850i \(0.525271\pi\)
\(510\) 5.19186e6 8.99257e6i 0.883889 1.53094i
\(511\) −92941.5 + 160979.i −0.0157455 + 0.0272721i
\(512\) −1.07133e6 −0.180612
\(513\) −1.50921e6 + 2.61403e6i −0.253196 + 0.438548i
\(514\) −1.83689e6 −0.306672
\(515\) −3.89006e6 −0.646305
\(516\) −6.18573e6 + 1.24041e6i −1.02274 + 0.205089i
\(517\) 159767. 0.0262882
\(518\) 139093. 0.0227762
\(519\) 8.22664e6 1.42490e7i 1.34062 2.32201i
\(520\) −6.95541e6 −1.12801
\(521\) −2.07104e6 + 3.58714e6i −0.334267 + 0.578968i −0.983344 0.181755i \(-0.941822\pi\)
0.649077 + 0.760723i \(0.275155\pi\)
\(522\) −4.97676e6 + 8.62000e6i −0.799412 + 1.38462i
\(523\) 1.10795e6 + 1.91903e6i 0.177120 + 0.306781i 0.940893 0.338704i \(-0.109989\pi\)
−0.763773 + 0.645485i \(0.776655\pi\)
\(524\) −4.36181e6 −0.693966
\(525\) −70348.4 121847.i −0.0111392 0.0192937i
\(526\) 2.37009e6 4.10512e6i 0.373509 0.646936i
\(527\) −8.54014e6 −1.33949
\(528\) 22955.5 39760.2i 0.00358346 0.00620674i
\(529\) 3.16361e6 + 5.47953e6i 0.491522 + 0.851342i
\(530\) −2.40179e6 4.16003e6i −0.371404 0.643290i
\(531\) 4.15521e6 + 7.19704e6i 0.639524 + 1.10769i
\(532\) −116669. −0.0178722
\(533\) −5.84623e6 1.01260e7i −0.891370 1.54390i
\(534\) −1.58270e6 2.74131e6i −0.240184 0.416011i
\(535\) 6.82732e6 1.18253e7i 1.03125 1.78618i
\(536\) −1.96459e6 + 3.40276e6i −0.295365 + 0.511587i
\(537\) 1.90005e7 2.84334
\(538\) −277108. −0.0412757
\(539\) −167840. + 290708.i −0.0248842 + 0.0431008i
\(540\) 2.08851e6 3.61740e6i 0.308213 0.533841i
\(541\) 3.62393e6 + 6.27684e6i 0.532337 + 0.922036i 0.999287 + 0.0377517i \(0.0120196\pi\)
−0.466950 + 0.884284i \(0.654647\pi\)
\(542\) 832992. + 1.44278e6i 0.121799 + 0.210962i
\(543\) −8.52462e6 −1.24073
\(544\) 5.85292e6 + 1.01376e7i 0.847960 + 1.46871i
\(545\) 6.14842e6 + 1.06494e7i 0.886690 + 1.53579i
\(546\) −142960. 247614.i −0.0205226 0.0355463i
\(547\) 1.34435e6 2.32848e6i 0.192107 0.332739i −0.753841 0.657057i \(-0.771801\pi\)
0.945948 + 0.324317i \(0.105135\pi\)
\(548\) 3.93282e6 0.559439
\(549\) 387420. 671031.i 0.0548594 0.0950193i
\(550\) −33239.4 57572.3i −0.00468539 0.00811534i
\(551\) −7.99211e6 −1.12146
\(552\) −716659. 1.24129e6i −0.100107 0.173391i
\(553\) 149243. 258496.i 0.0207530 0.0359452i
\(554\) 302788. 524444.i 0.0419145 0.0725981i
\(555\) −1.17761e7 −1.62281
\(556\) 4.52061e6 7.82992e6i 0.620169 1.07416i
\(557\) −1.15293e7 −1.57458 −0.787291 0.616582i \(-0.788517\pi\)
−0.787291 + 0.616582i \(0.788517\pi\)
\(558\) 5.26191e6 0.715415
\(559\) 2.39223e6 7.08343e6i 0.323798 0.958769i
\(560\) 33816.4 0.00455677
\(561\) −977288. −0.131104
\(562\) −2.87900e6 + 4.98657e6i −0.384504 + 0.665980i
\(563\) −1.31124e7 −1.74346 −0.871730 0.489987i \(-0.837002\pi\)
−0.871730 + 0.489987i \(0.837002\pi\)
\(564\) −2.07716e6 + 3.59775e6i −0.274962 + 0.476248i
\(565\) 277209. 480140.i 0.0365331 0.0632771i
\(566\) 2.56386e6 + 4.44074e6i 0.336398 + 0.582659i
\(567\) −74181.6 −0.00969033
\(568\) 435986. + 755149.i 0.0567024 + 0.0982114i
\(569\) −2.58034e6 + 4.46928e6i −0.334115 + 0.578705i −0.983314 0.181914i \(-0.941771\pi\)
0.649199 + 0.760618i \(0.275104\pi\)
\(570\) −5.13708e6 −0.662261
\(571\) −119016. + 206142.i −0.0152762 + 0.0264592i −0.873562 0.486712i \(-0.838196\pi\)
0.858286 + 0.513171i \(0.171529\pi\)
\(572\) 129882. + 224962.i 0.0165981 + 0.0287488i
\(573\) −3.82348e6 6.62246e6i −0.486488 0.842622i
\(574\) −177858. 308059.i −0.0225317 0.0390260i
\(575\) 331676. 0.0418355
\(576\) −3.05978e6 5.29969e6i −0.384268 0.665571i
\(577\) 809295. + 1.40174e6i 0.101197 + 0.175278i 0.912178 0.409794i \(-0.134399\pi\)
−0.810981 + 0.585072i \(0.801066\pi\)
\(578\) 4.10995e6 7.11864e6i 0.511702 0.886294i
\(579\) −1.79587e6 + 3.11054e6i −0.222628 + 0.385603i
\(580\) 1.10598e7 1.36514
\(581\) 661780. 0.0813343
\(582\) 3.10140e6 5.37177e6i 0.379533 0.657371i
\(583\) −226050. + 391531.i −0.0275444 + 0.0477083i
\(584\) −2.87763e6 4.98420e6i −0.349142 0.604732i
\(585\) 7.28925e6 + 1.26254e7i 0.880630 + 1.52530i
\(586\) −1.65576e6 −0.199183
\(587\) −2.52945e6 4.38114e6i −0.302992 0.524797i 0.673820 0.738895i \(-0.264652\pi\)
−0.976812 + 0.214098i \(0.931319\pi\)
\(588\) −4.36425e6 7.55910e6i −0.520555 0.901627i
\(589\) 2.11251e6 + 3.65897e6i 0.250906 + 0.434581i
\(590\) −2.40120e6 + 4.15900e6i −0.283987 + 0.491879i
\(591\) 413583. 0.0487073
\(592\) 344118. 596029.i 0.0403555 0.0698978i
\(593\) 3.73997e6 + 6.47781e6i 0.436748 + 0.756470i 0.997437 0.0715570i \(-0.0227968\pi\)
−0.560688 + 0.828027i \(0.689463\pi\)
\(594\) 204456. 0.0237757
\(595\) −359916. 623393.i −0.0416782 0.0721888i
\(596\) 3.02557e6 5.24045e6i 0.348893 0.604300i
\(597\) 1.24152e7 2.15037e7i 1.42566 2.46932i
\(598\) 674023. 0.0770765
\(599\) −3.98643e6 + 6.90470e6i −0.453959 + 0.786280i −0.998628 0.0523710i \(-0.983322\pi\)
0.544668 + 0.838651i \(0.316655\pi\)
\(600\) 4.35621e6 0.494005
\(601\) −6.17613e6 −0.697478 −0.348739 0.937220i \(-0.613390\pi\)
−0.348739 + 0.937220i \(0.613390\pi\)
\(602\) 72778.1 215497.i 0.00818483 0.0242354i
\(603\) 8.23552e6 0.922354
\(604\) −3.55749e6 −0.396781
\(605\) 5.16149e6 8.93997e6i 0.573307 0.992996i
\(606\) 2.86715e6 0.317153
\(607\) 4.37976e6 7.58597e6i 0.482480 0.835679i −0.517318 0.855793i \(-0.673070\pi\)
0.999798 + 0.0201139i \(0.00640290\pi\)
\(608\) 2.89558e6 5.01530e6i 0.317671 0.550222i
\(609\) 572865. + 992231.i 0.0625906 + 0.108410i
\(610\) 447761. 0.0487217
\(611\) −2.46159e6 4.26360e6i −0.266755 0.462034i
\(612\) 7.65207e6 1.32538e7i 0.825848 1.43041i
\(613\) −1.45170e7 −1.56036 −0.780181 0.625554i \(-0.784873\pi\)
−0.780181 + 0.625554i \(0.784873\pi\)
\(614\) 841754. 1.45796e6i 0.0901082 0.156072i
\(615\) 1.50580e7 + 2.60813e7i 1.60539 + 2.78062i
\(616\) 9957.71 + 17247.3i 0.00105732 + 0.00183134i
\(617\) −2.25659e6 3.90852e6i −0.238638 0.413333i 0.721686 0.692221i \(-0.243368\pi\)
−0.960324 + 0.278888i \(0.910034\pi\)
\(618\) 4.95111e6 0.521472
\(619\) −4.13069e6 7.15456e6i −0.433307 0.750510i 0.563849 0.825878i \(-0.309320\pi\)
−0.997156 + 0.0753682i \(0.975987\pi\)
\(620\) −2.92337e6 5.06343e6i −0.305425 0.529012i
\(621\) −510036. + 883408.i −0.0530728 + 0.0919248i
\(622\) 3.44647e6 5.96946e6i 0.357189 0.618670i
\(623\) −219435. −0.0226509
\(624\) −1.41474e6 −0.145450
\(625\) 5.94756e6 1.03015e7i 0.609030 1.05487i
\(626\) −2.65207e6 + 4.59352e6i −0.270489 + 0.468501i
\(627\) 241744. + 418713.i 0.0245577 + 0.0425351i
\(628\) 3.53690e6 + 6.12609e6i 0.357869 + 0.619847i
\(629\) −1.46501e7 −1.47644
\(630\) 221758. + 384097.i 0.0222602 + 0.0385558i
\(631\) −7.10806e6 1.23115e7i −0.710685 1.23094i −0.964600 0.263717i \(-0.915052\pi\)
0.253915 0.967227i \(-0.418282\pi\)
\(632\) 4.62081e6 + 8.00348e6i 0.460177 + 0.797051i
\(633\) −1.31496e7 + 2.27758e7i −1.30438 + 2.25925i
\(634\) −2.14899e6 −0.212330
\(635\) −2.03889e6 + 3.53145e6i −0.200659 + 0.347552i
\(636\) −5.87785e6 1.01807e7i −0.576203 0.998013i
\(637\) 1.03439e7 1.01003
\(638\) 270677. + 468826.i 0.0263269 + 0.0455995i
\(639\) 913823. 1.58279e6i 0.0885340 0.153345i
\(640\) −4.32280e6 + 7.48730e6i −0.417172 + 0.722562i
\(641\) −1.85458e6 −0.178280 −0.0891398 0.996019i \(-0.528412\pi\)
−0.0891398 + 0.996019i \(0.528412\pi\)
\(642\) −8.68954e6 + 1.50507e7i −0.832069 + 1.44119i
\(643\) −1.71822e7 −1.63889 −0.819446 0.573157i \(-0.805719\pi\)
−0.819446 + 0.573157i \(0.805719\pi\)
\(644\) −39428.3 −0.00374622
\(645\) −6.16163e6 + 1.82447e7i −0.583172 + 1.72678i
\(646\) −6.39084e6 −0.602527
\(647\) 2.02330e7 1.90020 0.950102 0.311938i \(-0.100978\pi\)
0.950102 + 0.311938i \(0.100978\pi\)
\(648\) 1.14839e6 1.98908e6i 0.107437 0.186086i
\(649\) 451988. 0.0421226
\(650\) −1.02426e6 + 1.77408e6i −0.0950885 + 0.164698i
\(651\) 302844. 524541.i 0.0280070 0.0485096i
\(652\) 530441. + 918750.i 0.0488673 + 0.0846406i
\(653\) 9.41580e6 0.864120 0.432060 0.901845i \(-0.357787\pi\)
0.432060 + 0.901845i \(0.357787\pi\)
\(654\) −7.82546e6 1.35541e7i −0.715428 1.23916i
\(655\) −6.65693e6 + 1.15301e7i −0.606277 + 1.05010i
\(656\) −1.76009e6 −0.159689
\(657\) −6.03149e6 + 1.04468e7i −0.545144 + 0.944217i
\(658\) −74888.2 129710.i −0.00674293 0.0116791i
\(659\) 3.05362e6 + 5.28902e6i 0.273906 + 0.474419i 0.969858 0.243669i \(-0.0783510\pi\)
−0.695953 + 0.718088i \(0.745018\pi\)
\(660\) −334535. 579432.i −0.0298938 0.0517776i
\(661\) −6.81099e6 −0.606327 −0.303163 0.952939i \(-0.598043\pi\)
−0.303163 + 0.952939i \(0.598043\pi\)
\(662\) 1.05073e6 + 1.81992e6i 0.0931854 + 0.161402i
\(663\) 1.50574e7 + 2.60802e7i 1.33035 + 2.30424i
\(664\) −1.02449e7 + 1.77447e7i −0.901755 + 1.56189i
\(665\) −178059. + 308408.i −0.0156139 + 0.0270440i
\(666\) 9.02652e6 0.788560
\(667\) −2.70092e6 −0.235070
\(668\) −1.19552e6 + 2.07071e6i −0.103661 + 0.179547i
\(669\) 1.71387e7 2.96851e7i 1.48052 2.56433i
\(670\) 2.37955e6 + 4.12151e6i 0.204790 + 0.354706i
\(671\) −21071.0 36496.1i −0.00180667 0.00312925i
\(672\) −830208. −0.0709192
\(673\) −8.77997e6 1.52074e7i −0.747232 1.29424i −0.949145 0.314840i \(-0.898049\pi\)
0.201913 0.979404i \(-0.435284\pi\)
\(674\) −5.00950e6 8.67671e6i −0.424761 0.735708i
\(675\) −1.55013e6 2.68490e6i −0.130951 0.226813i
\(676\) 94123.8 163027.i 0.00792196 0.0137212i
\(677\) 1.05096e6 0.0881283 0.0440641 0.999029i \(-0.485969\pi\)
0.0440641 + 0.999029i \(0.485969\pi\)
\(678\) −352821. + 611103.i −0.0294768 + 0.0510553i
\(679\) −214999. 372389.i −0.0178962 0.0309972i
\(680\) 2.22873e7 1.84835
\(681\) −5.97123e6 1.03425e7i −0.493397 0.854588i
\(682\) 143093. 247844.i 0.0117803 0.0204041i
\(683\) 1.52242e6 2.63690e6i 0.124877 0.216293i −0.796808 0.604233i \(-0.793480\pi\)
0.921685 + 0.387940i \(0.126813\pi\)
\(684\) −7.57133e6 −0.618774
\(685\) 6.00221e6 1.03961e7i 0.488748 0.846537i
\(686\) 629982. 0.0511114
\(687\) 1.79184e7 1.44846
\(688\) −743374. 845004.i −0.0598738 0.0680593i
\(689\) 1.39314e7 1.11801
\(690\) −1.73607e6 −0.138818
\(691\) −9.31186e6 + 1.61286e7i −0.741893 + 1.28500i 0.209739 + 0.977757i \(0.432738\pi\)
−0.951632 + 0.307239i \(0.900595\pi\)
\(692\) 1.40134e7 1.11244
\(693\) 20871.3 36150.2i 0.00165088 0.00285941i
\(694\) −2.60479e6 + 4.51163e6i −0.205293 + 0.355578i
\(695\) −1.37986e7 2.38998e7i −1.08361 1.87687i
\(696\) −3.54738e7 −2.77577
\(697\) 1.87331e7 + 3.24467e7i 1.46059 + 2.52981i
\(698\) 3.71177e6 6.42897e6i 0.288365 0.499463i
\(699\) 1.93507e7 1.49797
\(700\) 59916.2 103778.i 0.00462168 0.00800498i
\(701\) 6.25541e6 + 1.08347e7i 0.480796 + 0.832763i 0.999757 0.0220348i \(-0.00701447\pi\)
−0.518961 + 0.854798i \(0.673681\pi\)
\(702\) −3.15013e6 5.45618e6i −0.241260 0.417874i
\(703\) 3.62389e6 + 6.27677e6i 0.276558 + 0.479013i
\(704\) −332831. −0.0253100
\(705\) 6.34028e6 + 1.09817e7i 0.480436 + 0.832139i
\(706\) 3.63961e6 + 6.30398e6i 0.274816 + 0.475996i
\(707\) 99380.0 172131.i 0.00747740 0.0129512i
\(708\) −5.87639e6 + 1.01782e7i −0.440583 + 0.763112i
\(709\) −8.88298e6 −0.663656 −0.331828 0.943340i \(-0.607665\pi\)
−0.331828 + 0.943340i \(0.607665\pi\)
\(710\) 1.05615e6 0.0786287
\(711\) 9.68519e6 1.67752e7i 0.718512 1.24450i
\(712\) 3.39704e6 5.88385e6i 0.251132 0.434973i
\(713\) 713919. + 1.23654e6i 0.0525927 + 0.0910932i
\(714\) 458087. + 793431.i 0.0336281 + 0.0582456i
\(715\) 792897. 0.0580032
\(716\) 8.09142e6 + 1.40148e7i 0.589851 + 1.02165i
\(717\) 7.02439e6 + 1.21666e7i 0.510282 + 0.883835i
\(718\) −389739. 675049.i −0.0282139 0.0488679i
\(719\) 4.89833e6 8.48416e6i 0.353367 0.612050i −0.633470 0.773767i \(-0.718370\pi\)
0.986837 + 0.161718i \(0.0517033\pi\)
\(720\) 2.19453e6 0.157765
\(721\) 171613. 297243.i 0.0122946 0.0212948i
\(722\) −2.51565e6 4.35723e6i −0.179600 0.311077i
\(723\) −3.69798e7 −2.63099
\(724\) −3.63024e6 6.28776e6i −0.257389 0.445810i
\(725\) 4.10439e6 7.10902e6i 0.290004 0.502301i
\(726\) −6.56935e6 + 1.13784e7i −0.462574 + 0.801201i
\(727\) 3.22814e6 0.226525 0.113263 0.993565i \(-0.463870\pi\)
0.113263 + 0.993565i \(0.463870\pi\)
\(728\) 306844. 531470.i 0.0214580 0.0371664i
\(729\) −2.33604e7 −1.62803
\(730\) −6.97090e6 −0.484152
\(731\) −7.66544e6 + 2.26975e7i −0.530571 + 1.57103i
\(732\) 1.09580e6 0.0755878
\(733\) 9.71876e6 0.668115 0.334057 0.942553i \(-0.391582\pi\)
0.334057 + 0.942553i \(0.391582\pi\)
\(734\) 5.28565e6 9.15501e6i 0.362125 0.627218i
\(735\) −2.66426e7 −1.81911
\(736\) 978559. 1.69491e6i 0.0665875 0.115333i
\(737\) 223957. 387905.i 0.0151878 0.0263061i
\(738\) −1.15422e7 1.99917e7i −0.780095 1.35116i
\(739\) −2.33341e7 −1.57174 −0.785868 0.618394i \(-0.787783\pi\)
−0.785868 + 0.618394i \(0.787783\pi\)
\(740\) −5.01489e6 8.68604e6i −0.336652 0.583099i
\(741\) 7.44928e6 1.29025e7i 0.498390 0.863236i
\(742\) 423829. 0.0282606
\(743\) 1.12089e7 1.94144e7i 0.744888 1.29018i −0.205359 0.978687i \(-0.565836\pi\)
0.950247 0.311497i \(-0.100830\pi\)
\(744\) 9.37657e6 + 1.62407e7i 0.621029 + 1.07565i
\(745\) −9.23518e6 1.59958e7i −0.609614 1.05588i
\(746\) 1.84703e6 + 3.19915e6i 0.121514 + 0.210469i
\(747\) 4.29466e7 2.81597
\(748\) −416181. 720847.i −0.0271975 0.0471074i
\(749\) 602387. + 1.04336e6i 0.0392347 + 0.0679566i
\(750\) −5.57315e6 + 9.65298e6i −0.361783 + 0.626626i
\(751\) 899178. 1.55742e6i 0.0581762 0.100764i −0.835471 0.549535i \(-0.814805\pi\)
0.893647 + 0.448771i \(0.148138\pi\)
\(752\) −741097. −0.0477892
\(753\) −9.28141e6 −0.596522
\(754\) 8.34083e6 1.44467e7i 0.534295 0.925426i
\(755\) −5.42939e6 + 9.40398e6i −0.346644 + 0.600405i
\(756\) 184273. + 319170.i 0.0117262 + 0.0203103i
\(757\) 4.25105e6 + 7.36303e6i 0.269623 + 0.467000i 0.968764 0.247983i \(-0.0797677\pi\)
−0.699142 + 0.714983i \(0.746434\pi\)
\(758\) 5.62193e6 0.355396
\(759\) 81697.1 + 141503.i 0.00514757 + 0.00891585i
\(760\) −5.51302e6 9.54884e6i −0.346223 0.599676i
\(761\) 2.22661e6 + 3.85660e6i 0.139374 + 0.241403i 0.927260 0.374418i \(-0.122158\pi\)
−0.787886 + 0.615821i \(0.788824\pi\)
\(762\) 2.59501e6 4.49470e6i 0.161902 0.280423i
\(763\) −1.08497e6 −0.0674695
\(764\) 3.25648e6 5.64040e6i 0.201844 0.349604i
\(765\) −2.33570e7 4.04555e7i −1.44299 2.49933i
\(766\) 8.78624e6 0.541042
\(767\) −6.96396e6 1.20619e7i −0.427433 0.740335i
\(768\) 1.20795e7 2.09224e7i 0.739005 1.28000i
\(769\) −1.14312e7 + 1.97994e7i −0.697069 + 1.20736i 0.272409 + 0.962182i \(0.412180\pi\)
−0.969478 + 0.245178i \(0.921154\pi\)
\(770\) 24122.0 0.00146618
\(771\) −6.86077e6 + 1.18832e7i −0.415659 + 0.719942i
\(772\) −3.05912e6 −0.184737
\(773\)