Properties

Label 80.6.l.a.21.17
Level 80
Weight 6
Character 80.21
Analytic conductor 12.831
Analytic rank 0
Dimension 80
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 80.l (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 21.17
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.86060 - 5.34211i) q^{2} +(-6.56300 + 6.56300i) q^{3} +(-25.0763 + 19.8791i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(47.2714 + 22.8492i) q^{6} +42.0449i q^{7} +(152.853 + 96.9737i) q^{8} +156.854i q^{9} +O(q^{10})\) \(q+(-1.86060 - 5.34211i) q^{2} +(-6.56300 + 6.56300i) q^{3} +(-25.0763 + 19.8791i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(47.2714 + 22.8492i) q^{6} +42.0449i q^{7} +(152.853 + 96.9737i) q^{8} +156.854i q^{9} +(-61.5451 + 127.327i) q^{10} +(-158.224 - 158.224i) q^{11} +(34.1098 - 295.042i) q^{12} +(429.302 - 429.302i) q^{13} +(224.608 - 78.2286i) q^{14} +232.037 q^{15} +(233.646 - 996.988i) q^{16} +204.434 q^{17} +(837.932 - 291.842i) q^{18} +(1004.23 - 1004.23i) q^{19} +(794.707 + 91.8760i) q^{20} +(-275.940 - 275.940i) q^{21} +(-550.858 + 1139.64i) q^{22} -2077.49i q^{23} +(-1639.61 + 366.737i) q^{24} +625.000i q^{25} +(-3092.14 - 1494.62i) q^{26} +(-2624.24 - 2624.24i) q^{27} +(-835.812 - 1054.33i) q^{28} +(4690.38 - 4690.38i) q^{29} +(-431.728 - 1239.57i) q^{30} -1806.19 q^{31} +(-5760.75 + 606.829i) q^{32} +2076.84 q^{33} +(-380.369 - 1092.11i) q^{34} +(743.255 - 743.255i) q^{35} +(-3118.11 - 3933.33i) q^{36} +(7482.02 + 7482.02i) q^{37} +(-7233.15 - 3496.23i) q^{38} +5635.02i q^{39} +(-987.818 - 4416.36i) q^{40} -12876.9i q^{41} +(-960.691 + 1987.52i) q^{42} +(9285.39 + 9285.39i) q^{43} +(7113.01 + 822.335i) q^{44} +(2772.81 - 2772.81i) q^{45} +(-11098.2 + 3865.37i) q^{46} +5125.48 q^{47} +(5009.81 + 8076.66i) q^{48} +15039.2 q^{49} +(3338.82 - 1162.87i) q^{50} +(-1341.70 + 1341.70i) q^{51} +(-2231.21 + 19299.4i) q^{52} +(13272.8 + 13272.8i) q^{53} +(-9136.34 + 18901.7i) q^{54} +5594.05i q^{55} +(-4077.25 + 6426.69i) q^{56} +13181.5i q^{57} +(-33783.4 - 16329.6i) q^{58} +(6865.06 + 6865.06i) q^{59} +(-5818.64 + 4612.68i) q^{60} +(27935.8 - 27935.8i) q^{61} +(3360.59 + 9648.85i) q^{62} -6594.91 q^{63} +(13960.2 + 29645.5i) q^{64} -15178.1 q^{65} +(-3864.17 - 11094.7i) q^{66} +(-22450.3 + 22450.3i) q^{67} +(-5126.45 + 4063.95i) q^{68} +(13634.5 + 13634.5i) q^{69} +(-5353.45 - 2587.65i) q^{70} -31718.5i q^{71} +(-15210.7 + 23975.6i) q^{72} -6119.87i q^{73} +(26048.8 - 53890.8i) q^{74} +(-4101.88 - 4101.88i) q^{75} +(-5219.26 + 45145.4i) q^{76} +(6652.49 - 6652.49i) q^{77} +(30102.9 - 10484.5i) q^{78} -45826.3 q^{79} +(-21754.8 + 13494.1i) q^{80} -3669.72 q^{81} +(-68790.1 + 23958.8i) q^{82} +(-11401.6 + 11401.6i) q^{83} +(12405.0 + 1434.14i) q^{84} +(-3613.91 - 3613.91i) q^{85} +(32327.2 - 66880.0i) q^{86} +61565.9i q^{87} +(-8841.45 - 39528.5i) q^{88} -105399. i q^{89} +(-19971.8 - 9653.59i) q^{90} +(18049.9 + 18049.9i) q^{91} +(41298.5 + 52095.8i) q^{92} +(11854.0 - 11854.0i) q^{93} +(-9536.46 - 27380.9i) q^{94} -35504.8 q^{95} +(33825.2 - 41790.4i) q^{96} -49125.2 q^{97} +(-27982.0 - 80341.3i) q^{98} +(24818.0 - 24818.0i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 44q^{4} - 228q^{6} + O(q^{10}) \) \( 80q + 44q^{4} - 228q^{6} - 100q^{10} + 1208q^{11} + 1572q^{12} - 916q^{14} - 1800q^{15} + 2960q^{16} + 6400q^{18} + 2360q^{19} - 3800q^{20} - 3260q^{22} - 13880q^{24} - 880q^{26} - 7464q^{27} + 18764q^{28} - 8144q^{29} + 22400q^{32} - 7440q^{34} + 27948q^{36} + 21296q^{37} - 34820q^{38} - 7260q^{42} + 32072q^{43} + 64392q^{44} + 149268q^{46} - 88360q^{47} + 94040q^{48} - 192080q^{49} + 2500q^{50} - 5920q^{51} - 55016q^{52} - 49456q^{53} - 250784q^{54} - 250352q^{56} - 115988q^{58} + 44984q^{59} + 7700q^{60} + 48080q^{61} + 444328q^{62} + 158760q^{63} + 218096q^{64} + 253440q^{66} + 61160q^{67} - 119792q^{68} - 22320q^{69} - 66200q^{70} - 629480q^{72} - 156664q^{74} + 223232q^{76} - 14896q^{77} + 516176q^{78} + 177680q^{79} + 48400q^{80} - 524880q^{81} + 254476q^{82} - 329240q^{83} - 173248q^{84} + 132400q^{85} - 765740q^{86} - 390400q^{88} + 71100q^{90} + 364832q^{91} + 333532q^{92} - 362352q^{93} + 537844q^{94} + 288800q^{95} + 1151112q^{96} + 52420q^{98} + 659000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.86060 5.34211i −0.328910 0.944361i
\(3\) −6.56300 + 6.56300i −0.421017 + 0.421017i −0.885554 0.464537i \(-0.846221\pi\)
0.464537 + 0.885554i \(0.346221\pi\)
\(4\) −25.0763 + 19.8791i −0.783636 + 0.621220i
\(5\) −17.6777 17.6777i −0.316228 0.316228i
\(6\) 47.2714 + 22.8492i 0.536069 + 0.259115i
\(7\) 42.0449i 0.324316i 0.986765 + 0.162158i \(0.0518454\pi\)
−0.986765 + 0.162158i \(0.948155\pi\)
\(8\) 152.853 + 96.9737i 0.844402 + 0.535709i
\(9\) 156.854i 0.645490i
\(10\) −61.5451 + 127.327i −0.194623 + 0.402644i
\(11\) −158.224 158.224i −0.394266 0.394266i 0.481939 0.876205i \(-0.339933\pi\)
−0.876205 + 0.481939i \(0.839933\pi\)
\(12\) 34.1098 295.042i 0.0683796 0.591468i
\(13\) 429.302 429.302i 0.704538 0.704538i −0.260843 0.965381i \(-0.584000\pi\)
0.965381 + 0.260843i \(0.0840005\pi\)
\(14\) 224.608 78.2286i 0.306271 0.106671i
\(15\) 232.037 0.266274
\(16\) 233.646 996.988i 0.228170 0.973621i
\(17\) 204.434 0.171566 0.0857828 0.996314i \(-0.472661\pi\)
0.0857828 + 0.996314i \(0.472661\pi\)
\(18\) 837.932 291.842i 0.609576 0.212308i
\(19\) 1004.23 1004.23i 0.638186 0.638186i −0.311922 0.950108i \(-0.600973\pi\)
0.950108 + 0.311922i \(0.100973\pi\)
\(20\) 794.707 + 91.8760i 0.444255 + 0.0513603i
\(21\) −275.940 275.940i −0.136542 0.136542i
\(22\) −550.858 + 1139.64i −0.242652 + 0.502008i
\(23\) 2077.49i 0.818877i −0.912338 0.409438i \(-0.865725\pi\)
0.912338 0.409438i \(-0.134275\pi\)
\(24\) −1639.61 + 366.737i −0.581050 + 0.129965i
\(25\) 625.000i 0.200000i
\(26\) −3092.14 1494.62i −0.897069 0.433609i
\(27\) −2624.24 2624.24i −0.692779 0.692779i
\(28\) −835.812 1054.33i −0.201471 0.254145i
\(29\) 4690.38 4690.38i 1.03565 1.03565i 0.0363085 0.999341i \(-0.488440\pi\)
0.999341 0.0363085i \(-0.0115599\pi\)
\(30\) −431.728 1239.57i −0.0875804 0.251459i
\(31\) −1806.19 −0.337566 −0.168783 0.985653i \(-0.553984\pi\)
−0.168783 + 0.985653i \(0.553984\pi\)
\(32\) −5760.75 + 606.829i −0.994498 + 0.104759i
\(33\) 2076.84 0.331986
\(34\) −380.369 1092.11i −0.0564297 0.162020i
\(35\) 743.255 743.255i 0.102558 0.102558i
\(36\) −3118.11 3933.33i −0.400992 0.505829i
\(37\) 7482.02 + 7482.02i 0.898492 + 0.898492i 0.995303 0.0968105i \(-0.0308641\pi\)
−0.0968105 + 0.995303i \(0.530864\pi\)
\(38\) −7233.15 3496.23i −0.812584 0.392772i
\(39\) 5635.02i 0.593245i
\(40\) −987.818 4416.36i −0.0976173 0.436430i
\(41\) 12876.9i 1.19634i −0.801371 0.598168i \(-0.795896\pi\)
0.801371 0.598168i \(-0.204104\pi\)
\(42\) −960.691 + 1987.52i −0.0840350 + 0.173855i
\(43\) 9285.39 + 9285.39i 0.765824 + 0.765824i 0.977368 0.211544i \(-0.0678492\pi\)
−0.211544 + 0.977368i \(0.567849\pi\)
\(44\) 7113.01 + 822.335i 0.553888 + 0.0640349i
\(45\) 2772.81 2772.81i 0.204122 0.204122i
\(46\) −11098.2 + 3865.37i −0.773315 + 0.269337i
\(47\) 5125.48 0.338446 0.169223 0.985578i \(-0.445874\pi\)
0.169223 + 0.985578i \(0.445874\pi\)
\(48\) 5009.81 + 8076.66i 0.313847 + 0.505974i
\(49\) 15039.2 0.894819
\(50\) 3338.82 1162.87i 0.188872 0.0657821i
\(51\) −1341.70 + 1341.70i −0.0722320 + 0.0722320i
\(52\) −2231.21 + 19299.4i −0.114428 + 0.989775i
\(53\) 13272.8 + 13272.8i 0.649040 + 0.649040i 0.952761 0.303721i \(-0.0982290\pi\)
−0.303721 + 0.952761i \(0.598229\pi\)
\(54\) −9136.34 + 18901.7i −0.426371 + 0.882095i
\(55\) 5594.05i 0.249356i
\(56\) −4077.25 + 6426.69i −0.173739 + 0.273853i
\(57\) 13181.5i 0.537374i
\(58\) −33783.4 16329.6i −1.31866 0.637391i
\(59\) 6865.06 + 6865.06i 0.256752 + 0.256752i 0.823732 0.566980i \(-0.191888\pi\)
−0.566980 + 0.823732i \(0.691888\pi\)
\(60\) −5818.64 + 4612.68i −0.208662 + 0.165415i
\(61\) 27935.8 27935.8i 0.961251 0.961251i −0.0380253 0.999277i \(-0.512107\pi\)
0.999277 + 0.0380253i \(0.0121067\pi\)
\(62\) 3360.59 + 9648.85i 0.111029 + 0.318784i
\(63\) −6594.91 −0.209342
\(64\) 13960.2 + 29645.5i 0.426031 + 0.904709i
\(65\) −15178.1 −0.445589
\(66\) −3864.17 11094.7i −0.109193 0.313514i
\(67\) −22450.3 + 22450.3i −0.610993 + 0.610993i −0.943205 0.332212i \(-0.892205\pi\)
0.332212 + 0.943205i \(0.392205\pi\)
\(68\) −5126.45 + 4063.95i −0.134445 + 0.106580i
\(69\) 13634.5 + 13634.5i 0.344761 + 0.344761i
\(70\) −5353.45 2587.65i −0.130584 0.0631191i
\(71\) 31718.5i 0.746736i −0.927683 0.373368i \(-0.878203\pi\)
0.927683 0.373368i \(-0.121797\pi\)
\(72\) −15210.7 + 23975.6i −0.345795 + 0.545053i
\(73\) 6119.87i 0.134411i −0.997739 0.0672056i \(-0.978592\pi\)
0.997739 0.0672056i \(-0.0214083\pi\)
\(74\) 26048.8 53890.8i 0.552978 1.14402i
\(75\) −4101.88 4101.88i −0.0842033 0.0842033i
\(76\) −5219.26 + 45145.4i −0.103651 + 0.896560i
\(77\) 6652.49 6652.49i 0.127867 0.127867i
\(78\) 30102.9 10484.5i 0.560237 0.195124i
\(79\) −45826.3 −0.826128 −0.413064 0.910702i \(-0.635541\pi\)
−0.413064 + 0.910702i \(0.635541\pi\)
\(80\) −21754.8 + 13494.1i −0.380040 + 0.235732i
\(81\) −3669.72 −0.0621471
\(82\) −68790.1 + 23958.8i −1.12977 + 0.393487i
\(83\) −11401.6 + 11401.6i −0.181665 + 0.181665i −0.792081 0.610416i \(-0.791002\pi\)
0.610416 + 0.792081i \(0.291002\pi\)
\(84\) 12405.0 + 1434.14i 0.191822 + 0.0221766i
\(85\) −3613.91 3613.91i −0.0542538 0.0542538i
\(86\) 32327.2 66880.0i 0.471327 0.975102i
\(87\) 61565.9i 0.872051i
\(88\) −8841.45 39528.5i −0.121707 0.544132i
\(89\) 105399.i 1.41046i −0.708979 0.705230i \(-0.750844\pi\)
0.708979 0.705230i \(-0.249156\pi\)
\(90\) −19971.8 9653.59i −0.259903 0.125627i
\(91\) 18049.9 + 18049.9i 0.228493 + 0.228493i
\(92\) 41298.5 + 52095.8i 0.508703 + 0.641701i
\(93\) 11854.0 11854.0i 0.142121 0.142121i
\(94\) −9536.46 27380.9i −0.111319 0.319616i
\(95\) −35504.8 −0.403624
\(96\) 33825.2 41790.4i 0.374595 0.462805i
\(97\) −49125.2 −0.530121 −0.265060 0.964232i \(-0.585392\pi\)
−0.265060 + 0.964232i \(0.585392\pi\)
\(98\) −27982.0 80341.3i −0.294315 0.845033i
\(99\) 24818.0 24818.0i 0.254495 0.254495i
\(100\) −12424.4 15672.7i −0.124244 0.156727i
\(101\) 14743.7 + 14743.7i 0.143814 + 0.143814i 0.775348 0.631534i \(-0.217574\pi\)
−0.631534 + 0.775348i \(0.717574\pi\)
\(102\) 9663.87 + 4671.15i 0.0919710 + 0.0444552i
\(103\) 56155.2i 0.521551i 0.965399 + 0.260776i \(0.0839783\pi\)
−0.965399 + 0.260776i \(0.916022\pi\)
\(104\) 107251. 23989.2i 0.972342 0.217486i
\(105\) 9755.97i 0.0863569i
\(106\) 46209.3 95599.9i 0.399452 0.826404i
\(107\) −83704.1 83704.1i −0.706785 0.706785i 0.259073 0.965858i \(-0.416583\pi\)
−0.965858 + 0.259073i \(0.916583\pi\)
\(108\) 117974. + 13639.0i 0.973255 + 0.112518i
\(109\) 58434.0 58434.0i 0.471085 0.471085i −0.431181 0.902266i \(-0.641903\pi\)
0.902266 + 0.431181i \(0.141903\pi\)
\(110\) 29884.1 10408.3i 0.235482 0.0820158i
\(111\) −98209.0 −0.756561
\(112\) 41918.2 + 9823.63i 0.315761 + 0.0739992i
\(113\) 162812. 1.19947 0.599737 0.800197i \(-0.295272\pi\)
0.599737 + 0.800197i \(0.295272\pi\)
\(114\) 70416.9 24525.4i 0.507475 0.176748i
\(115\) −36725.1 + 36725.1i −0.258952 + 0.258952i
\(116\) −24377.3 + 210858.i −0.168205 + 1.45494i
\(117\) 67337.8 + 67337.8i 0.454772 + 0.454772i
\(118\) 23900.8 49447.1i 0.158018 0.326915i
\(119\) 8595.39i 0.0556414i
\(120\) 35467.6 + 22501.5i 0.224843 + 0.142646i
\(121\) 110982.i 0.689108i
\(122\) −201214. 97259.0i −1.22393 0.591603i
\(123\) 84511.4 + 84511.4i 0.503677 + 0.503677i
\(124\) 45292.6 35905.3i 0.264529 0.209703i
\(125\) 11048.5 11048.5i 0.0632456 0.0632456i
\(126\) 12270.5 + 35230.7i 0.0688549 + 0.197695i
\(127\) −291766. −1.60519 −0.802594 0.596525i \(-0.796547\pi\)
−0.802594 + 0.596525i \(0.796547\pi\)
\(128\) 132395. 129735.i 0.714246 0.699895i
\(129\) −121880. −0.644850
\(130\) 28240.4 + 81083.2i 0.146559 + 0.420797i
\(131\) −15696.3 + 15696.3i −0.0799134 + 0.0799134i −0.745934 0.666020i \(-0.767996\pi\)
0.666020 + 0.745934i \(0.267996\pi\)
\(132\) −52079.7 + 41285.7i −0.260156 + 0.206236i
\(133\) 42222.5 + 42222.5i 0.206974 + 0.206974i
\(134\) 161703. + 78161.2i 0.777959 + 0.376036i
\(135\) 92781.0i 0.438152i
\(136\) 31248.4 + 19824.7i 0.144870 + 0.0919093i
\(137\) 105185.i 0.478800i −0.970921 0.239400i \(-0.923049\pi\)
0.970921 0.239400i \(-0.0769507\pi\)
\(138\) 47468.9 98205.7i 0.212183 0.438974i
\(139\) −310110. 310110.i −1.36138 1.36138i −0.872166 0.489210i \(-0.837285\pi\)
−0.489210 0.872166i \(-0.662715\pi\)
\(140\) −3862.91 + 33413.3i −0.0166569 + 0.144079i
\(141\) −33638.5 + 33638.5i −0.142492 + 0.142492i
\(142\) −169444. + 59015.4i −0.705188 + 0.245609i
\(143\) −135852. −0.555552
\(144\) 156382. + 36648.4i 0.628463 + 0.147282i
\(145\) −165830. −0.655002
\(146\) −32693.0 + 11386.6i −0.126933 + 0.0442092i
\(147\) −98702.5 + 98702.5i −0.376734 + 0.376734i
\(148\) −336357. 38886.2i −1.26225 0.145929i
\(149\) 84960.2 + 84960.2i 0.313509 + 0.313509i 0.846267 0.532758i \(-0.178845\pi\)
−0.532758 + 0.846267i \(0.678845\pi\)
\(150\) −14280.7 + 29544.6i −0.0518230 + 0.107214i
\(151\) 534460.i 1.90754i 0.300543 + 0.953768i \(0.402832\pi\)
−0.300543 + 0.953768i \(0.597168\pi\)
\(152\) 250883. 56115.6i 0.880768 0.197004i
\(153\) 32066.3i 0.110744i
\(154\) −47916.0 23160.8i −0.162809 0.0786957i
\(155\) 31929.2 + 31929.2i 0.106748 + 0.106748i
\(156\) −112019. 141306.i −0.368536 0.464888i
\(157\) −192703. + 192703.i −0.623934 + 0.623934i −0.946535 0.322601i \(-0.895443\pi\)
0.322601 + 0.946535i \(0.395443\pi\)
\(158\) 85264.4 + 244809.i 0.271722 + 0.780163i
\(159\) −174218. −0.546513
\(160\) 112564. + 91109.2i 0.347615 + 0.281360i
\(161\) 87347.6 0.265574
\(162\) 6827.88 + 19604.1i 0.0204408 + 0.0586893i
\(163\) 390541. 390541.i 1.15132 1.15132i 0.165036 0.986288i \(-0.447226\pi\)
0.986288 0.165036i \(-0.0527741\pi\)
\(164\) 255981. + 322907.i 0.743188 + 0.937492i
\(165\) −36713.8 36713.8i −0.104983 0.104983i
\(166\) 82122.6 + 39694.9i 0.231309 + 0.111806i
\(167\) 10987.0i 0.0304850i −0.999884 0.0152425i \(-0.995148\pi\)
0.999884 0.0152425i \(-0.00485203\pi\)
\(168\) −15419.4 68937.3i −0.0421497 0.188444i
\(169\) 2692.45i 0.00725155i
\(170\) −12581.9 + 26030.0i −0.0333906 + 0.0690799i
\(171\) 157517. + 157517.i 0.411943 + 0.411943i
\(172\) −417429. 48258.9i −1.07587 0.124382i
\(173\) 119839. 119839.i 0.304427 0.304427i −0.538316 0.842743i \(-0.680939\pi\)
0.842743 + 0.538316i \(0.180939\pi\)
\(174\) 328892. 114549.i 0.823531 0.286827i
\(175\) −26278.0 −0.0648631
\(176\) −194716. + 120779.i −0.473826 + 0.293906i
\(177\) −90110.8 −0.216194
\(178\) −563052. + 196105.i −1.33198 + 0.463915i
\(179\) 549667. 549667.i 1.28223 1.28223i 0.342838 0.939394i \(-0.388612\pi\)
0.939394 0.342838i \(-0.111388\pi\)
\(180\) −14411.1 + 124653.i −0.0331525 + 0.286762i
\(181\) 361738. + 361738.i 0.820725 + 0.820725i 0.986212 0.165487i \(-0.0529196\pi\)
−0.165487 + 0.986212i \(0.552920\pi\)
\(182\) 62841.2 130009.i 0.140626 0.290933i
\(183\) 366686.i 0.809406i
\(184\) 201462. 317550.i 0.438680 0.691462i
\(185\) 264529.i 0.568256i
\(186\) −85381.0 41269.9i −0.180958 0.0874683i
\(187\) −32346.3 32346.3i −0.0676426 0.0676426i
\(188\) −128528. + 101890.i −0.265219 + 0.210250i
\(189\) 110336. 110336.i 0.224679 0.224679i
\(190\) 66060.1 + 189670.i 0.132756 + 0.381167i
\(191\) 320924. 0.636529 0.318265 0.948002i \(-0.396900\pi\)
0.318265 + 0.948002i \(0.396900\pi\)
\(192\) −286184. 102943.i −0.560264 0.201531i
\(193\) −552018. −1.06674 −0.533372 0.845881i \(-0.679075\pi\)
−0.533372 + 0.845881i \(0.679075\pi\)
\(194\) 91402.2 + 262432.i 0.174362 + 0.500625i
\(195\) 99614.0 99614.0i 0.187600 0.187600i
\(196\) −377129. + 298966.i −0.701213 + 0.555880i
\(197\) 643476. + 643476.i 1.18132 + 1.18132i 0.979403 + 0.201916i \(0.0647167\pi\)
0.201916 + 0.979403i \(0.435283\pi\)
\(198\) −178757. 86404.3i −0.324041 0.156629i
\(199\) 90986.0i 0.162870i 0.996679 + 0.0814352i \(0.0259504\pi\)
−0.996679 + 0.0814352i \(0.974050\pi\)
\(200\) −60608.6 + 95533.2i −0.107142 + 0.168880i
\(201\) 294683.i 0.514476i
\(202\) 51330.3 106194.i 0.0885107 0.183115i
\(203\) 197206. + 197206.i 0.335877 + 0.335877i
\(204\) 6973.20 60316.6i 0.0117316 0.101476i
\(205\) −227634. + 227634.i −0.378315 + 0.378315i
\(206\) 299988. 104482.i 0.492533 0.171544i
\(207\) 325862. 0.528577
\(208\) −327704. 528314.i −0.525199 0.846708i
\(209\) −317785. −0.503231
\(210\) 52117.5 18151.9i 0.0815521 0.0284037i
\(211\) 442406. 442406.i 0.684092 0.684092i −0.276827 0.960920i \(-0.589283\pi\)
0.960920 + 0.276827i \(0.0892830\pi\)
\(212\) −596682. 68982.4i −0.911808 0.105414i
\(213\) 208169. + 208169.i 0.314388 + 0.314388i
\(214\) −291417. + 602896.i −0.434991 + 0.899929i
\(215\) 328288.i 0.484350i
\(216\) −146641. 655606.i −0.213856 0.956112i
\(217\) 75940.9i 0.109478i
\(218\) −420883. 203439.i −0.599819 0.289930i
\(219\) 40164.7 + 40164.7i 0.0565893 + 0.0565893i
\(220\) −111204. 140278.i −0.154905 0.195404i
\(221\) 87763.9 87763.9i 0.120875 0.120875i
\(222\) 182727. + 524643.i 0.248841 + 0.714466i
\(223\) 1.23616e6 1.66462 0.832308 0.554313i \(-0.187019\pi\)
0.832308 + 0.554313i \(0.187019\pi\)
\(224\) −25514.0 242210.i −0.0339750 0.322531i
\(225\) −98033.8 −0.129098
\(226\) −302928. 869761.i −0.394519 1.13274i
\(227\) 645061. 645061.i 0.830876 0.830876i −0.156760 0.987637i \(-0.550105\pi\)
0.987637 + 0.156760i \(0.0501051\pi\)
\(228\) −262035. 330543.i −0.333828 0.421106i
\(229\) −805818. 805818.i −1.01543 1.01543i −0.999879 0.0155463i \(-0.995051\pi\)
−0.0155463 0.999879i \(-0.504949\pi\)
\(230\) 264520. + 127859.i 0.329716 + 0.159372i
\(231\) 87320.6i 0.107668i
\(232\) 1.17178e6 262095.i 1.42931 0.319698i
\(233\) 139317.i 0.168119i −0.996461 0.0840593i \(-0.973211\pi\)
0.996461 0.0840593i \(-0.0267885\pi\)
\(234\) 234437. 485015.i 0.279890 0.579049i
\(235\) −90606.6 90606.6i −0.107026 0.107026i
\(236\) −308622. 35679.7i −0.360700 0.0417005i
\(237\) 300758. 300758.i 0.347814 0.347814i
\(238\) 45917.5 15992.6i 0.0525456 0.0183010i
\(239\) −1.14083e6 −1.29189 −0.645944 0.763385i \(-0.723536\pi\)
−0.645944 + 0.763385i \(0.723536\pi\)
\(240\) 54214.6 231338.i 0.0607559 0.259250i
\(241\) −325740. −0.361267 −0.180633 0.983550i \(-0.557815\pi\)
−0.180633 + 0.983550i \(0.557815\pi\)
\(242\) −592876. + 206492.i −0.650767 + 0.226655i
\(243\) 661775. 661775.i 0.718944 0.718944i
\(244\) −145191. + 1.25587e6i −0.156122 + 1.35042i
\(245\) −265859. 265859.i −0.282967 0.282967i
\(246\) 294228. 608711.i 0.309989 0.641318i
\(247\) 862233.i 0.899253i
\(248\) −276081. 175153.i −0.285041 0.180837i
\(249\) 149658.i 0.152968i
\(250\) −79579.5 38465.7i −0.0805288 0.0389245i
\(251\) −190040. 190040.i −0.190397 0.190397i 0.605470 0.795868i \(-0.292985\pi\)
−0.795868 + 0.605470i \(0.792985\pi\)
\(252\) 165376. 131100.i 0.164048 0.130048i
\(253\) −328708. + 328708.i −0.322856 + 0.322856i
\(254\) 542860. + 1.55865e6i 0.527963 + 1.51588i
\(255\) 47436.2 0.0456835
\(256\) −939395. 465885.i −0.895877 0.444303i
\(257\) −671224. −0.633920 −0.316960 0.948439i \(-0.602662\pi\)
−0.316960 + 0.948439i \(0.602662\pi\)
\(258\) 226770. + 651097.i 0.212098 + 0.608971i
\(259\) −314580. + 314580.i −0.291395 + 0.291395i
\(260\) 380612. 301727.i 0.349180 0.276809i
\(261\) 735704. + 735704.i 0.668501 + 0.668501i
\(262\) 113056. + 54647.0i 0.101751 + 0.0491828i
\(263\) 902574.i 0.804625i 0.915502 + 0.402312i \(0.131793\pi\)
−0.915502 + 0.402312i \(0.868207\pi\)
\(264\) 317452. + 201399.i 0.280329 + 0.177848i
\(265\) 469263.i 0.410489i
\(266\) 146998. 304117.i 0.127382 0.263534i
\(267\) 691732. + 691732.i 0.593827 + 0.593827i
\(268\) 116681. 1.00926e6i 0.0992346 0.858357i
\(269\) −1.21609e6 + 1.21609e6i −1.02467 + 1.02467i −0.0249826 + 0.999688i \(0.507953\pi\)
−0.999688 + 0.0249826i \(0.992047\pi\)
\(270\) 495646. 172628.i 0.413773 0.144113i
\(271\) −1.26970e6 −1.05021 −0.525107 0.851036i \(-0.675975\pi\)
−0.525107 + 0.851036i \(0.675975\pi\)
\(272\) 47765.2 203818.i 0.0391462 0.167040i
\(273\) −236924. −0.192399
\(274\) −561912. + 195708.i −0.452160 + 0.157482i
\(275\) 98889.8 98889.8i 0.0788533 0.0788533i
\(276\) −612946. 70862.7i −0.484339 0.0559945i
\(277\) 640108. + 640108.i 0.501249 + 0.501249i 0.911826 0.410577i \(-0.134673\pi\)
−0.410577 + 0.911826i \(0.634673\pi\)
\(278\) −1.07965e6 + 2.23363e6i −0.837860 + 1.73340i
\(279\) 283308.i 0.217895i
\(280\) 185685. 41532.7i 0.141541 0.0316588i
\(281\) 355397.i 0.268502i 0.990947 + 0.134251i \(0.0428629\pi\)
−0.990947 + 0.134251i \(0.957137\pi\)
\(282\) 242289. + 117113.i 0.181431 + 0.0876966i
\(283\) 1.27404e6 + 1.27404e6i 0.945624 + 0.945624i 0.998596 0.0529717i \(-0.0168693\pi\)
−0.0529717 + 0.998596i \(0.516869\pi\)
\(284\) 630534. + 795384.i 0.463888 + 0.585169i
\(285\) 233018. 233018.i 0.169933 0.169933i
\(286\) 252765. + 725734.i 0.182727 + 0.524641i
\(287\) 541409. 0.387990
\(288\) −95183.6 903596.i −0.0676209 0.641938i
\(289\) −1.37806e6 −0.970565
\(290\) 308543. + 885882.i 0.215437 + 0.618558i
\(291\) 322409. 322409.i 0.223190 0.223190i
\(292\) 121657. + 153464.i 0.0834989 + 0.105329i
\(293\) 665933. + 665933.i 0.453170 + 0.453170i 0.896405 0.443235i \(-0.146169\pi\)
−0.443235 + 0.896405i \(0.646169\pi\)
\(294\) 710925. + 343634.i 0.479685 + 0.231861i
\(295\) 242717.i 0.162384i
\(296\) 418091. + 1.86921e6i 0.277358 + 1.24002i
\(297\) 830435.i 0.546279i
\(298\) 295790. 611944.i 0.192949 0.399182i
\(299\) −891869. 891869.i −0.576930 0.576930i
\(300\) 184401. + 21318.6i 0.118294 + 0.0136759i
\(301\) −390403. + 390403.i −0.248369 + 0.248369i
\(302\) 2.85515e6 994415.i 1.80140 0.627409i
\(303\) −193526. −0.121097
\(304\) −766568. 1.23584e6i −0.475737 0.766967i
\(305\) −987681. −0.607949
\(306\) 171302. 59662.4i 0.104582 0.0364248i
\(307\) −1.13156e6 + 1.13156e6i −0.685220 + 0.685220i −0.961172 0.275951i \(-0.911007\pi\)
0.275951 + 0.961172i \(0.411007\pi\)
\(308\) −34575.0 + 299065.i −0.0207675 + 0.179634i
\(309\) −368547. 368547.i −0.219582 0.219582i
\(310\) 111162. 229977.i 0.0656979 0.135919i
\(311\) 704918.i 0.413273i −0.978418 0.206637i \(-0.933748\pi\)
0.978418 0.206637i \(-0.0662518\pi\)
\(312\) −546449. + 861331.i −0.317807 + 0.500937i
\(313\) 1.04625e6i 0.603635i 0.953366 + 0.301818i \(0.0975934\pi\)
−0.953366 + 0.301818i \(0.902407\pi\)
\(314\) 1.38798e6 + 670898.i 0.794438 + 0.384001i
\(315\) 116583. + 116583.i 0.0661999 + 0.0661999i
\(316\) 1.14916e6 910984.i 0.647384 0.513208i
\(317\) 1.15885e6 1.15885e6i 0.647705 0.647705i −0.304733 0.952438i \(-0.598567\pi\)
0.952438 + 0.304733i \(0.0985671\pi\)
\(318\) 324150. + 930694.i 0.179754 + 0.516106i
\(319\) −1.48426e6 −0.816643
\(320\) 277280. 770847.i 0.151371 0.420817i
\(321\) 1.09870e6 0.595136
\(322\) −162519. 466621.i −0.0873502 0.250798i
\(323\) 205298. 205298.i 0.109491 0.109491i
\(324\) 92023.2 72950.6i 0.0487007 0.0386070i
\(325\) 268314. + 268314.i 0.140908 + 0.140908i
\(326\) −2.81295e6 1.35967e6i −1.46595 0.708583i
\(327\) 767004.i 0.396669i
\(328\) 1.24873e6 1.96828e6i 0.640888 1.01019i
\(329\) 215500.i 0.109763i
\(330\) −127820. + 264439.i −0.0646119 + 0.133672i
\(331\) −671715. 671715.i −0.336988 0.336988i 0.518244 0.855233i \(-0.326586\pi\)
−0.855233 + 0.518244i \(0.826586\pi\)
\(332\) 59257.6 512565.i 0.0295052 0.255213i
\(333\) −1.17358e6 + 1.17358e6i −0.579968 + 0.579968i
\(334\) −58693.6 + 20442.3i −0.0287889 + 0.0100268i
\(335\) 793739. 0.386426
\(336\) −339582. + 210637.i −0.164095 + 0.101786i
\(337\) 178410. 0.0855747 0.0427873 0.999084i \(-0.486376\pi\)
0.0427873 + 0.999084i \(0.486376\pi\)
\(338\) 14383.4 5009.57i 0.00684808 0.00238511i
\(339\) −1.06854e6 + 1.06854e6i −0.504998 + 0.504998i
\(340\) 162465. + 18782.6i 0.0762188 + 0.00881166i
\(341\) 285781. + 285781.i 0.133091 + 0.133091i
\(342\) 548397. 1.13455e6i 0.253530 0.524515i
\(343\) 1.33897e6i 0.614519i
\(344\) 518863. + 2.31974e6i 0.236405 + 1.05692i
\(345\) 482054.i 0.218046i
\(346\) −863167. 417222.i −0.387618 0.187360i
\(347\) −2.93043e6 2.93043e6i −1.30649 1.30649i −0.923928 0.382566i \(-0.875041\pi\)
−0.382566 0.923928i \(-0.624959\pi\)
\(348\) −1.22387e6 1.54385e6i −0.541736 0.683371i
\(349\) 561233. 561233.i 0.246649 0.246649i −0.572945 0.819594i \(-0.694199\pi\)
0.819594 + 0.572945i \(0.194199\pi\)
\(350\) 48892.9 + 140380.i 0.0213342 + 0.0612542i
\(351\) −2.25319e6 −0.976178
\(352\) 1.00750e6 + 815472.i 0.433400 + 0.350794i
\(353\) −2.28009e6 −0.973904 −0.486952 0.873429i \(-0.661891\pi\)
−0.486952 + 0.873429i \(0.661891\pi\)
\(354\) 167660. + 481382.i 0.0711085 + 0.204165i
\(355\) −560709. + 560709.i −0.236139 + 0.236139i
\(356\) 2.09523e6 + 2.64302e6i 0.876206 + 1.10529i
\(357\) −56411.6 56411.6i −0.0234260 0.0234260i
\(358\) −3.95909e6 1.91367e6i −1.63263 0.789151i
\(359\) 249426.i 0.102142i −0.998695 0.0510711i \(-0.983737\pi\)
0.998695 0.0510711i \(-0.0162635\pi\)
\(360\) 692724. 154943.i 0.281711 0.0630110i
\(361\) 459159.i 0.185437i
\(362\) 1.25940e6 2.60549e6i 0.505116 1.04501i
\(363\) 728372. + 728372.i 0.290126 + 0.290126i
\(364\) −811443. 93810.8i −0.320999 0.0371107i
\(365\) −108185. + 108185.i −0.0425045 + 0.0425045i
\(366\) 1.95888e6 682255.i 0.764371 0.266222i
\(367\) 2.54893e6 0.987854 0.493927 0.869504i \(-0.335561\pi\)
0.493927 + 0.869504i \(0.335561\pi\)
\(368\) −2.07123e6 485397.i −0.797276 0.186843i
\(369\) 2.01980e6 0.772223
\(370\) −1.41315e6 + 492183.i −0.536639 + 0.186905i
\(371\) −558051. + 558051.i −0.210494 + 0.210494i
\(372\) −61608.7 + 532901.i −0.0230826 + 0.199659i
\(373\) −3.29571e6 3.29571e6i −1.22652 1.22652i −0.965270 0.261255i \(-0.915864\pi\)
−0.261255 0.965270i \(-0.584136\pi\)
\(374\) −112614. + 232981.i −0.0416307 + 0.0861274i
\(375\) 145023.i 0.0532549i
\(376\) 783446. + 497037.i 0.285785 + 0.181309i
\(377\) 4.02718e6i 1.45931i
\(378\) −794718. 384136.i −0.286077 0.138279i
\(379\) −101204. 101204.i −0.0361909 0.0361909i 0.688780 0.724971i \(-0.258147\pi\)
−0.724971 + 0.688780i \(0.758147\pi\)
\(380\) 890329. 705801.i 0.316295 0.250740i
\(381\) 1.91486e6 1.91486e6i 0.675811 0.675811i
\(382\) −597110. 1.71441e6i −0.209361 0.601114i
\(383\) 2.95243e6 1.02845 0.514224 0.857656i \(-0.328080\pi\)
0.514224 + 0.857656i \(0.328080\pi\)
\(384\) −17457.8 + 1.72036e6i −0.00604172 + 0.595377i
\(385\) −235201. −0.0808700
\(386\) 1.02708e6 + 2.94894e6i 0.350863 + 1.00739i
\(387\) −1.45645e6 + 1.45645e6i −0.494332 + 0.494332i
\(388\) 1.23188e6 976562.i 0.415422 0.329322i
\(389\) −2.14600e6 2.14600e6i −0.719046 0.719046i 0.249364 0.968410i \(-0.419778\pi\)
−0.968410 + 0.249364i \(0.919778\pi\)
\(390\) −717491. 346808.i −0.238866 0.115459i
\(391\) 424708.i 0.140491i
\(392\) 2.29879e6 + 1.45841e6i 0.755588 + 0.479363i
\(393\) 206030.i 0.0672898i
\(394\) 2.24027e6 4.63478e6i 0.727043 1.50414i
\(395\) 810103. + 810103.i 0.261245 + 0.261245i
\(396\) −128987. + 1.11570e6i −0.0413339 + 0.357529i
\(397\) 2.09299e6 2.09299e6i 0.666486 0.666486i −0.290415 0.956901i \(-0.593793\pi\)
0.956901 + 0.290415i \(0.0937934\pi\)
\(398\) 486058. 169288.i 0.153808 0.0535697i
\(399\) −554213. −0.174279
\(400\) 623118. + 146029.i 0.194724 + 0.0456341i
\(401\) 4.94183e6 1.53471 0.767357 0.641220i \(-0.221572\pi\)
0.767357 + 0.641220i \(0.221572\pi\)
\(402\) −1.57423e6 + 548287.i −0.485851 + 0.169217i
\(403\) −775400. + 775400.i −0.237828 + 0.237828i
\(404\) −662808. 76627.2i −0.202039 0.0233577i
\(405\) 64872.1 + 64872.1i 0.0196526 + 0.0196526i
\(406\) 686576. 1.42042e6i 0.206716 0.427663i
\(407\) 2.36766e6i 0.708491i
\(408\) −335193. + 74973.4i −0.0996883 + 0.0222975i
\(409\) 647728.i 0.191463i 0.995407 + 0.0957313i \(0.0305190\pi\)
−0.995407 + 0.0957313i \(0.969481\pi\)
\(410\) 1.63958e6 + 792512.i 0.481697 + 0.232834i
\(411\) 690332. + 690332.i 0.201583 + 0.201583i
\(412\) −1.11631e6 1.40817e6i −0.323998 0.408706i
\(413\) −288641. + 288641.i −0.0832688 + 0.0832688i
\(414\) −606298. 1.74079e6i −0.173854 0.499167i
\(415\) 403108. 0.114895
\(416\) −2.21259e6 + 2.73361e6i −0.626855 + 0.774468i
\(417\) 4.07050e6 1.14632
\(418\) 591270. + 1.69764e6i 0.165518 + 0.475232i
\(419\) 2.29457e6 2.29457e6i 0.638507 0.638507i −0.311680 0.950187i \(-0.600892\pi\)
0.950187 + 0.311680i \(0.100892\pi\)
\(420\) −193939. 244644.i −0.0536467 0.0676724i
\(421\) 3.97175e6 + 3.97175e6i 1.09214 + 1.09214i 0.995300 + 0.0968369i \(0.0308725\pi\)
0.0968369 + 0.995300i \(0.469127\pi\)
\(422\) −3.18652e6 1.54024e6i −0.871035 0.421025i
\(423\) 803952.i 0.218464i
\(424\) 741674. + 3.31589e6i 0.200354 + 0.895748i
\(425\) 127771.i 0.0343131i
\(426\) 724742. 1.49938e6i 0.193490 0.400302i
\(427\) 1.17456e6 + 1.17456e6i 0.311749 + 0.311749i
\(428\) 3.76295e6 + 435034.i 0.992931 + 0.114793i
\(429\) 891594. 891594.i 0.233897 0.233897i
\(430\) −1.75375e6 + 610813.i −0.457401 + 0.159308i
\(431\) −6.80546e6 −1.76467 −0.882336 0.470620i \(-0.844030\pi\)
−0.882336 + 0.470620i \(0.844030\pi\)
\(432\) −3.22948e6 + 2.00319e6i −0.832576 + 0.516433i
\(433\) 4.23928e6 1.08661 0.543303 0.839537i \(-0.317173\pi\)
0.543303 + 0.839537i \(0.317173\pi\)
\(434\) −405685. + 141295.i −0.103387 + 0.0360084i
\(435\) 1.08834e6 1.08834e6i 0.275767 0.275767i
\(436\) −303698. + 2.62692e6i −0.0765114 + 0.661807i
\(437\) −2.08627e6 2.08627e6i −0.522596 0.522596i
\(438\) 139834. 289295.i 0.0348279 0.0720536i
\(439\) 2.92903e6i 0.725374i 0.931911 + 0.362687i \(0.118141\pi\)
−0.931911 + 0.362687i \(0.881859\pi\)
\(440\) −542476. + 855069.i −0.133582 + 0.210557i
\(441\) 2.35896e6i 0.577597i
\(442\) −632138. 305551.i −0.153906 0.0743923i
\(443\) 947047. + 947047.i 0.229278 + 0.229278i 0.812391 0.583113i \(-0.198166\pi\)
−0.583113 + 0.812391i \(0.698166\pi\)
\(444\) 2.46272e6 1.95230e6i 0.592868 0.469991i
\(445\) −1.86320e6 + 1.86320e6i −0.446026 + 0.446026i
\(446\) −2.30001e6 6.60373e6i −0.547510 1.57200i
\(447\) −1.11519e6 −0.263985
\(448\) −1.24644e6 + 586954.i −0.293411 + 0.138168i
\(449\) 5.43200e6 1.27158 0.635790 0.771862i \(-0.280674\pi\)
0.635790 + 0.771862i \(0.280674\pi\)
\(450\) 182401. + 523708.i 0.0424617 + 0.121915i
\(451\) −2.03744e6 + 2.03744e6i −0.471675 + 0.471675i
\(452\) −4.08273e6 + 3.23655e6i −0.939950 + 0.745137i
\(453\) −3.50766e6 3.50766e6i −0.803105 0.803105i
\(454\) −4.64619e6 2.24579e6i −1.05793 0.511363i
\(455\) 638162.i 0.144511i
\(456\) −1.27826e6 + 2.01483e6i −0.287876 + 0.453760i
\(457\) 5.09132e6i 1.14035i 0.821522 + 0.570177i \(0.193126\pi\)
−0.821522 + 0.570177i \(0.806874\pi\)
\(458\) −2.80547e6 + 5.80407e6i −0.624944 + 1.29291i
\(459\) −536484. 536484.i −0.118857 0.118857i
\(460\) 190871. 1.65099e6i 0.0420577 0.363790i
\(461\) −676336. + 676336.i −0.148221 + 0.148221i −0.777323 0.629102i \(-0.783423\pi\)
0.629102 + 0.777323i \(0.283423\pi\)
\(462\) 466477. 162469.i 0.101678 0.0354132i
\(463\) 7.98501e6 1.73110 0.865552 0.500820i \(-0.166968\pi\)
0.865552 + 0.500820i \(0.166968\pi\)
\(464\) −3.58036e6 5.77214e6i −0.772026 1.24463i
\(465\) −419102. −0.0898851
\(466\) −744249. + 259214.i −0.158765 + 0.0552959i
\(467\) −6.09338e6 + 6.09338e6i −1.29290 + 1.29290i −0.359921 + 0.932983i \(0.617196\pi\)
−0.932983 + 0.359921i \(0.882804\pi\)
\(468\) −3.02720e6 349974.i −0.638890 0.0738620i
\(469\) −943921. 943921.i −0.198154 0.198154i
\(470\) −315448. + 652613.i −0.0658693 + 0.136273i
\(471\) 2.52942e6i 0.525373i
\(472\) 383616. + 1.71508e6i 0.0792577 + 0.354347i
\(473\) 2.93834e6i 0.603878i
\(474\) −2.16628e6 1.04709e6i −0.442861 0.214062i
\(475\) 627641. + 627641.i 0.127637 + 0.127637i
\(476\) −170868. 215541.i −0.0345656 0.0436026i
\(477\) −2.08189e6 + 2.08189e6i −0.418949 + 0.418949i
\(478\) 2.12262e6 + 6.09443e6i 0.424915 + 1.22001i
\(479\) 6.80295e6 1.35475 0.677374 0.735639i \(-0.263118\pi\)
0.677374 + 0.735639i \(0.263118\pi\)
\(480\) −1.33671e6 + 140807.i −0.264809 + 0.0278946i
\(481\) 6.42409e6 1.26604
\(482\) 606071. + 1.74014e6i 0.118824 + 0.341166i
\(483\) −573262. + 573262.i −0.111811 + 0.111811i
\(484\) 2.20621e6 + 2.78301e6i 0.428088 + 0.540010i
\(485\) 868419. + 868419.i 0.167639 + 0.167639i
\(486\) −4.76658e6 2.30398e6i −0.915411 0.442474i
\(487\) 1.23561e6i 0.236080i −0.993009 0.118040i \(-0.962339\pi\)
0.993009 0.118040i \(-0.0376611\pi\)
\(488\) 6.97912e6 1.56104e6i 1.32663 0.296732i
\(489\) 5.12624e6i 0.969453i
\(490\) −925590. + 1.91490e6i −0.174152 + 0.360294i
\(491\) −4.77833e6 4.77833e6i −0.894484 0.894484i 0.100457 0.994941i \(-0.467969\pi\)
−0.994941 + 0.100457i \(0.967969\pi\)
\(492\) −3.79924e6 439230.i −0.707594 0.0818049i
\(493\) 958871. 958871.i 0.177682 0.177682i
\(494\) −4.60614e6 + 1.60427e6i −0.849220 + 0.295774i
\(495\) −877450. −0.160957
\(496\) −422009. + 1.80075e6i −0.0770225 + 0.328661i
\(497\) 1.33360e6 0.242178
\(498\) −799488. + 278453.i −0.144457 + 0.0503128i
\(499\) −4.84517e6 + 4.84517e6i −0.871079 + 0.871079i −0.992590 0.121511i \(-0.961226\pi\)
0.121511 + 0.992590i \(0.461226\pi\)
\(500\) −57422.5 + 496692.i −0.0102721 + 0.0888509i
\(501\) 72107.4 + 72107.4i 0.0128347 + 0.0128347i
\(502\) −661628. + 1.36880e6i −0.117180 + 0.242428i
\(503\) 5.52120e6i 0.973001i −0.873680 0.486500i \(-0.838273\pi\)
0.873680 0.486500i \(-0.161727\pi\)
\(504\) −1.00805e6 639533.i −0.176769 0.112147i
\(505\) 521268.i 0.0909562i
\(506\) 2.36759e6 + 1.14440e6i 0.411083 + 0.198702i
\(507\) −17670.6 17670.6i −0.00305302 0.00305302i
\(508\) 7.31644e6 5.80004e6i 1.25788 0.997176i
\(509\) 6.98285e6 6.98285e6i 1.19464 1.19464i 0.218896 0.975748i \(-0.429754\pi\)
0.975748 0.218896i \(-0.0702455\pi\)
\(510\) −88259.8 253410.i −0.0150258 0.0431418i
\(511\) 257309. 0.0435916
\(512\) −740976. + 5.88518e6i −0.124919 + 0.992167i
\(513\) −5.27067e6 −0.884244
\(514\) 1.24888e6 + 3.58575e6i 0.208503 + 0.598650i
\(515\) 992693. 992693.i 0.164929 0.164929i
\(516\) 3.05631e6 2.42286e6i 0.505327 0.400594i
\(517\) −810973. 810973.i −0.133438 0.133438i
\(518\) 2.26583e6 + 1.09522e6i 0.371025 + 0.179339i
\(519\) 1.57301e6i 0.256338i
\(520\) −2.32002e6 1.47188e6i −0.376257 0.238706i
\(521\) 3.12578e6i 0.504504i −0.967662 0.252252i \(-0.918829\pi\)
0.967662 0.252252i \(-0.0811711\pi\)
\(522\) 2.56137e6 5.29907e6i 0.411429 0.851183i
\(523\) 3.72190e6 + 3.72190e6i 0.594991 + 0.594991i 0.938976 0.343984i \(-0.111777\pi\)
−0.343984 + 0.938976i \(0.611777\pi\)
\(524\) 81578.4 705635.i 0.0129792 0.112267i
\(525\) 172463. 172463.i 0.0273085 0.0273085i
\(526\) 4.82165e6 1.67933e6i 0.759856 0.264649i
\(527\) −369246. −0.0579147
\(528\) 485247. 2.07059e6i 0.0757492 0.323228i
\(529\) 2.12039e6 0.329441
\(530\) −2.50686e6 + 873110.i −0.387650 + 0.135014i
\(531\) −1.07681e6 + 1.07681e6i −0.165731 + 0.165731i
\(532\) −1.89813e6 219443.i −0.290768 0.0336157i
\(533\) −5.52810e6 5.52810e6i −0.842864 0.842864i
\(534\) 2.40828e6 4.98235e6i 0.365471 0.756103i
\(535\) 2.95939e6i 0.447010i
\(536\) −5.60870e6 + 1.25451e6i −0.843238 + 0.188609i
\(537\) 7.21493e6i 1.07968i
\(538\) 8.75913e6 + 4.23383e6i 1.30468 + 0.630634i
\(539\) −2.37956e6 2.37956e6i −0.352797 0.352797i
\(540\) −1.84440e6 2.32661e6i −0.272189 0.343351i
\(541\) −2.59180e6 + 2.59180e6i −0.380722 + 0.380722i −0.871362 0.490640i \(-0.836763\pi\)
0.490640 + 0.871362i \(0.336763\pi\)
\(542\) 2.36240e6 + 6.78288e6i 0.345426 + 0.991781i
\(543\) −4.74817e6 −0.691078
\(544\) −1.17769e6 + 124056.i −0.170622 + 0.0179731i
\(545\) −2.06595e6 −0.297940
\(546\) 440820. + 1.26567e6i 0.0632819 + 0.181694i
\(547\) −4.93878e6 + 4.93878e6i −0.705750 + 0.705750i −0.965639 0.259889i \(-0.916314\pi\)
0.259889 + 0.965639i \(0.416314\pi\)
\(548\) 2.09099e6 + 2.63767e6i 0.297440 + 0.375205i
\(549\) 4.38185e6 + 4.38185e6i 0.620478 + 0.620478i
\(550\) −712275. 344286.i −0.100402 0.0485303i
\(551\) 9.42039e6i 1.32187i
\(552\) 761890. + 3.40628e6i 0.106425 + 0.475808i
\(553\) 1.92676e6i 0.267926i
\(554\) 2.22855e6 4.61051e6i 0.308494 0.638227i
\(555\) 1.73611e6 + 1.73611e6i 0.239245 + 0.239245i
\(556\) 1.39411e7 + 1.61173e6i 1.91254 + 0.221108i
\(557\) −1.83759e6 + 1.83759e6i −0.250963 + 0.250963i −0.821365 0.570402i \(-0.806787\pi\)
0.570402 + 0.821365i \(0.306787\pi\)
\(558\) −1.51346e6 + 527122.i −0.205772 + 0.0716680i
\(559\) 7.97248e6 1.07911
\(560\) −567358. 914675.i −0.0764517 0.123253i
\(561\) 424577. 0.0569573
\(562\) 1.89857e6 661251.i 0.253563 0.0883131i
\(563\) 1.11206e6 1.11206e6i 0.147862 0.147862i −0.629300 0.777162i \(-0.716658\pi\)
0.777162 + 0.629300i \(0.216658\pi\)
\(564\) 174829. 1.51223e6i 0.0231428 0.200180i
\(565\) −2.87814e6 2.87814e6i −0.379307 0.379307i
\(566\) 4.43561e6 9.17658e6i 0.581985 1.20404i
\(567\) 154293.i 0.0201553i
\(568\) 3.07586e6 4.84828e6i 0.400033 0.630546i
\(569\) 6.57708e6i 0.851633i 0.904809 + 0.425817i \(0.140013\pi\)
−0.904809 + 0.425817i \(0.859987\pi\)
\(570\) −1.67836e6 811255.i −0.216370 0.104585i
\(571\) 1.65771e6 + 1.65771e6i 0.212774 + 0.212774i 0.805445 0.592671i \(-0.201927\pi\)
−0.592671 + 0.805445i \(0.701927\pi\)
\(572\) 3.40666e6 2.70060e6i 0.435350 0.345120i
\(573\) −2.10622e6 + 2.10622e6i −0.267990 + 0.267990i
\(574\) −1.00735e6 2.89227e6i −0.127614 0.366403i
\(575\) 1.29843e6 0.163775
\(576\) −4.65001e6 + 2.18971e6i −0.583980 + 0.274999i
\(577\) −4.52363e6 −0.565649 −0.282825 0.959172i \(-0.591271\pi\)
−0.282825 + 0.959172i \(0.591271\pi\)
\(578\) 2.56402e6 + 7.36177e6i 0.319229 + 0.916564i
\(579\) 3.62289e6 3.62289e6i 0.449117 0.449117i
\(580\) 4.15841e6 3.29654e6i 0.513283 0.406901i
\(581\) −479380. 479380.i −0.0589168 0.0589168i
\(582\) −2.32222e6 1.12247e6i −0.284181 0.137362i
\(583\) 4.20013e6i 0.511789i
\(584\) 593467. 935442.i 0.0720053 0.113497i
\(585\) 2.38075e6i 0.287623i
\(586\) 2.31845e6 4.79652e6i 0.278904 0.577009i
\(587\) −5.25994e6 5.25994e6i −0.630065 0.630065i 0.318019 0.948084i \(-0.396982\pi\)
−0.948084 + 0.318019i \(0.896982\pi\)
\(588\) 512986. 4.43721e6i 0.0611874 0.529257i
\(589\) −1.81382e6 + 1.81382e6i −0.215430 + 0.215430i
\(590\) −1.29662e6 + 451598.i −0.153350 + 0.0534099i
\(591\) −8.44627e6 −0.994710
\(592\) 9.20763e6 5.71134e6i 1.07980 0.669782i
\(593\) −1.38857e7 −1.62155 −0.810774 0.585360i \(-0.800953\pi\)
−0.810774 + 0.585360i \(0.800953\pi\)
\(594\) 4.43628e6 1.54511e6i 0.515884 0.179677i
\(595\) 151946. 151946.i 0.0175954 0.0175954i
\(596\) −3.81942e6 441563.i −0.440435 0.0509187i
\(597\) −597141. 597141.i −0.0685711 0.0685711i
\(598\) −3.10506e6 + 6.42388e6i −0.355072 + 0.734589i
\(599\) 8.38212e6i 0.954524i −0.878761 0.477262i \(-0.841629\pi\)
0.878761 0.477262i \(-0.158371\pi\)
\(600\) −229210. 1.02476e6i −0.0259930 0.116210i
\(601\) 1.75269e7i 1.97934i −0.143371 0.989669i \(-0.545794\pi\)
0.143371 0.989669i \(-0.454206\pi\)
\(602\) 2.81196e6 + 1.35919e6i 0.316241 + 0.152859i
\(603\) −3.52143e6 3.52143e6i −0.394390 0.394390i
\(604\) −1.06246e7 1.34023e7i −1.18500 1.49481i
\(605\) −1.96189e6 + 1.96189e6i −0.217915 + 0.217915i
\(606\) 360073. + 1.03384e6i 0.0398299 + 0.114359i
\(607\) 2.09360e6 0.230633 0.115317 0.993329i \(-0.463212\pi\)
0.115317 + 0.993329i \(0.463212\pi\)
\(608\) −5.17570e6 + 6.39448e6i −0.567819 + 0.701531i
\(609\) −2.58853e6 −0.282820
\(610\) 1.83768e6 + 5.27630e6i 0.199961 + 0.574123i
\(611\) 2.20038e6 2.20038e6i 0.238448 0.238448i
\(612\) −637447. 804105.i −0.0687964 0.0867829i
\(613\) −1.12371e7 1.12371e7i −1.20782 1.20782i −0.971730 0.236094i \(-0.924133\pi\)
−0.236094 0.971730i \(-0.575867\pi\)
\(614\) 8.15027e6 + 3.93953e6i 0.872472 + 0.421719i
\(615\) 2.98793e6i 0.318553i
\(616\) 1.66197e6 371737.i 0.176470 0.0394716i
\(617\) 1.65368e7i 1.74880i 0.485208 + 0.874399i \(0.338744\pi\)
−0.485208 + 0.874399i \(0.661256\pi\)
\(618\) −1.28310e6 + 2.65454e6i −0.135142 + 0.279587i
\(619\) 1.21691e7 + 1.21691e7i 1.27654 + 1.27654i 0.942594 + 0.333942i \(0.108379\pi\)
0.333942 + 0.942594i \(0.391621\pi\)
\(620\) −1.43539e6 165945.i −0.149965 0.0173375i
\(621\) −5.45183e6 + 5.45183e6i −0.567300 + 0.567300i
\(622\) −3.76575e6 + 1.31157e6i −0.390279 + 0.135930i
\(623\) 4.43148e6 0.457434
\(624\) 5.61805e6 + 1.31660e6i 0.577596 + 0.135361i
\(625\) −390625. −0.0400000
\(626\) 5.58919e6 1.94665e6i 0.570050 0.198542i
\(627\) 2.08562e6 2.08562e6i 0.211869 0.211869i
\(628\) 1.00153e6 8.66303e6i 0.101337 0.876538i
\(629\) 1.52958e6 + 1.52958e6i 0.154150 + 0.154150i
\(630\) 405884. 839711.i 0.0407428 0.0842904i
\(631\) 1.33765e7i 1.33743i 0.743520 + 0.668713i \(0.233155\pi\)
−0.743520 + 0.668713i \(0.766845\pi\)
\(632\) −7.00470e6 4.44395e6i −0.697585 0.442565i
\(633\) 5.80702e6i 0.576028i
\(634\) −8.34683e6 4.03454e6i −0.824705 0.398631i
\(635\) 5.15775e6 + 5.15775e6i 0.507605 + 0.507605i
\(636\) 4.36876e6 3.46329e6i 0.428268 0.339505i
\(637\) 6.45637e6 6.45637e6i 0.630435 0.630435i
\(638\) 2.76161e6 + 7.92907e6i 0.268603 + 0.771206i
\(639\) 4.97518e6 0.482010
\(640\) −4.63386e6 47023.1i −0.447191 0.00453797i
\(641\) −1.05200e7 −1.01128 −0.505641 0.862744i \(-0.668744\pi\)
−0.505641 + 0.862744i \(0.668744\pi\)
\(642\) −2.04424e6 5.86938e6i −0.195747 0.562024i
\(643\) 5.97274e6 5.97274e6i 0.569700 0.569700i −0.362345 0.932044i \(-0.618024\pi\)
0.932044 + 0.362345i \(0.118024\pi\)
\(644\) −2.19036e6 + 1.73639e6i −0.208114 + 0.164980i
\(645\) 2.15456e6 + 2.15456e6i 0.203919 + 0.203919i
\(646\) −1.47870e6 714747.i −0.139412 0.0673862i
\(647\) 6.68641e6i 0.627960i −0.949430 0.313980i \(-0.898338\pi\)
0.949430 0.313980i \(-0.101662\pi\)
\(648\) −560929. 355867.i −0.0524771 0.0332928i
\(649\) 2.17243e6i 0.202458i
\(650\) 934138. 1.93259e6i 0.0867217 0.179414i
\(651\) 498400. + 498400.i 0.0460920 + 0.0460920i
\(652\) −2.02976e6 + 1.75569e7i −0.186993 + 1.61744i
\(653\) −4.85058e6 + 4.85058e6i −0.445155 + 0.445155i −0.893740 0.448585i \(-0.851928\pi\)
0.448585 + 0.893740i \(0.351928\pi\)
\(654\) 4.09742e6 1.42709e6i 0.374599 0.130469i
\(655\) 554949. 0.0505417
\(656\) −1.28382e7 3.00865e6i −1.16478 0.272968i
\(657\) 959927. 0.0867610
\(658\) 1.15123e6 400959.i 0.103656 0.0361023i
\(659\) −5.91567e6 + 5.91567e6i −0.530629 + 0.530629i −0.920759 0.390131i \(-0.872430\pi\)
0.390131 + 0.920759i \(0.372430\pi\)
\(660\) 1.65048e6 + 190812.i 0.147486 + 0.0170509i
\(661\) 9.64450e6 + 9.64450e6i 0.858571 + 0.858571i 0.991170 0.132599i \(-0.0423322\pi\)
−0.132599 + 0.991170i \(0.542332\pi\)
\(662\) −2.33858e6 + 4.83817e6i −0.207400 + 0.429078i
\(663\) 1.15199e6i 0.101780i
\(664\) −2.84843e6 + 637116.i −0.250718 + 0.0560788i
\(665\) 1.49279e6i 0.130902i
\(666\) 8.45299e6 + 4.08585e6i 0.738456 + 0.356942i
\(667\) −9.74419e6 9.74419e6i −0.848069 0.848069i
\(668\) 218410. + 275513.i 0.0189379 + 0.0238892i
\(669\) −8.11295e6 + 8.11295e6i −0.700831 + 0.700831i
\(670\) −1.47683e6 4.24025e6i −0.127099 0.364925i
\(671\) −8.84022e6 −0.757978
\(672\) 1.75707e6 + 1.42217e6i 0.150095 + 0.121487i
\(673\) −1.32602e7 −1.12853 −0.564265 0.825594i \(-0.690840\pi\)
−0.564265 + 0.825594i \(0.690840\pi\)
\(674\) −331950. 953088.i −0.0281464 0.0808134i
\(675\) 1.64015e6 1.64015e6i 0.138556 0.138556i
\(676\) −53523.4 67516.8i −0.00450481 0.00568258i
\(677\) −4.03747e6 4.03747e6i −0.338561 0.338561i 0.517264 0.855826i \(-0.326950\pi\)
−0.855826 + 0.517264i \(0.826950\pi\)
\(678\) 7.69636e6 + 3.72012e6i 0.643000 + 0.310802i
\(679\) 2.06546e6i 0.171926i
\(680\) −201943. 902853.i −0.0167478 0.0748763i
\(681\) 8.46708e6i 0.699626i
\(682\) 994952. 2.05840e6i 0.0819108 0.169461i
\(683\) 581314. + 581314.i 0.0476825 + 0.0476825i 0.730546 0.682863i \(-0.239266\pi\)
−0.682863 + 0.730546i \(0.739266\pi\)
\(684\) −7.08124e6 818661.i −0.578720 0.0669058i
\(685\) −1.85943e6 + 1.85943e6i −0.151410 + 0.151410i
\(686\) 7.15293e6 2.49129e6i 0.580328 0.202122i
\(687\) 1.05772e7 0.855022
\(688\) 1.14269e7 7.08793e6i 0.920361 0.570885i
\(689\) 1.13960e7 0.914547
\(690\) −2.57519e6 + 896909.i −0.205914 + 0.0717176i
\(691\) 9.75086e6 9.75086e6i 0.776869 0.776869i −0.202428 0.979297i \(-0.564883\pi\)
0.979297 + 0.202428i \(0.0648832\pi\)
\(692\) −622839. + 5.38742e6i −0.0494436 + 0.427676i
\(693\) 1.04347e6 + 1.04347e6i 0.0825367 + 0.0825367i
\(694\) −1.02023e7 + 2.11070e7i −0.804083 + 1.66352i
\(695\) 1.09640e7i 0.861010i
\(696\) −5.97027e6 + 9.41054e6i −0.467166 + 0.736362i
\(697\) 2.63248e6i 0.205250i
\(698\) −4.04240e6 1.95394e6i −0.314051 0.151800i
\(699\) 914340. + 914340.i 0.0707807 + 0.0707807i
\(700\) 658957. 522383.i 0.0508291 0.0402943i
\(701\) 474503. 474503.i 0.0364707 0.0364707i −0.688636 0.725107i \(-0.741790\pi\)
0.725107 + 0.688636i \(0.241790\pi\)
\(702\) 4.19227e6 + 1.20368e7i 0.321075 + 0.921865i
\(703\) 1.50273e7 1.14681
\(704\) 2.48179e6 6.89945e6i 0.188726 0.524666i
\(705\) 1.18930e6 0.0901196
\(706\) 4.24234e6 + 1.21805e7i 0.320327 + 0.919717i
\(707\) −619896. + 619896.i −0.0466413 + 0.0466413i
\(708\) 2.25965e6 1.79132e6i 0.169417 0.134304i
\(709\) 6.33212e6 + 6.33212e6i 0.473079 + 0.473079i 0.902909 0.429831i \(-0.141427\pi\)
−0.429831 + 0.902909i \(0.641427\pi\)
\(710\) 4.03863e6 + 1.95212e6i 0.300669 + 0.145332i
\(711\) 7.18805e6i 0.533257i
\(712\) 1.02209e7 1.61105e7i 0.755596 1.19100i
\(713\) 3.75233e6i 0.276425i
\(714\) −196398. + 406316.i −0.0144175 + 0.0298276i
\(715\) 2.40154e6 + 2.40154e6i 0.175681 + 0.175681i
\(716\) −2.85678e6 + 2.47105e7i −0.208254 + 1.80135i
\(717\) 7.48725e6 7.48725e6i 0.543906 0.543906i
\(718\) −1.33246e6 + 464081.i −0.0964590 + 0.0335956i
\(719\) 393042. 0.0283542 0.0141771 0.999900i \(-0.495487\pi\)
0.0141771 + 0.999900i \(0.495487\pi\)
\(720\) −2.11660e6 3.41232e6i −0.152163 0.245312i
\(721\) −2.36104e6 −0.169147
\(722\) 2.45288e6 854311.i 0.175119 0.0609920i
\(723\) 2.13783e6 2.13783e6i 0.152099 0.152099i
\(724\) −1.62621e7 1.88006e6i −1.15300 0.133298i
\(725\) 2.93148e6 + 2.93148e6i 0.207130 + 0.207130i
\(726\) 2.53584e6 5.24625e6i 0.178558 0.369409i
\(727\) 1.63831e7i 1.14964i 0.818281 + 0.574818i \(0.194927\pi\)
−0.818281 + 0.574818i \(0.805073\pi\)
\(728\) 1.00862e6 + 4.50936e6i 0.0705341 + 0.315346i
\(729\) 7.79472e6i 0.543228i
\(730\) 779226. + 376648.i 0.0541198 + 0.0261594i
\(731\) 1.89825e6 + 1.89825e6i 0.131389 + 0.131389i
\(732\) −7.28937e6 9.19514e6i −0.502819 0.634279i
\(733\) −3.71303e6 + 3.71303e6i −0.255252 + 0.255252i −0.823120 0.567868i \(-0.807768\pi\)
0.567868 + 0.823120i \(0.307768\pi\)
\(734\) −4.74253e6 1.36167e7i −0.324915 0.932890i
\(735\) 3.48966e6 0.238267
\(736\) 1.26068e6 + 1.19679e7i 0.0857847 + 0.814371i
\(737\) 7.10435e6 0.481788
\(738\) −3.75804e6 1.07900e7i −0.253992 0.729257i
\(739\) −1.96304e6 + 1.96304e6i −0.132226 + 0.132226i −0.770122 0.637896i \(-0.779805\pi\)
0.637896 + 0.770122i \(0.279805\pi\)
\(740\) 5.25859e6 + 6.63343e6i 0.353013 + 0.445306i
\(741\) 5.65883e6 + 5.65883e6i 0.378601 + 0.378601i
\(742\) 4.01948e6 + 1.94286e6i 0.268016 + 0.129549i
\(743\) 1.13191e7i 0.752209i 0.926577 + 0.376105i \(0.122737\pi\)
−0.926577 + 0.376105i \(0.877263\pi\)
\(744\) 2.96145e6 662395.i 0.196143 0.0438717i
\(745\) 3.00380e6i 0.198280i
\(746\) −1.14740e7 + 2.37380e7i −0.754865 + 1.56170i
\(747\) −1.78839e6 1.78839e6i −0.117263 0.117263i
\(748\) 1.45414e6 + 168113.i 0.0950281 + 0.0109862i
\(749\) 3.51933e6 3.51933e6i 0.229221 0.229221i
\(750\) 774730. 269830.i 0.0502918 0.0175161i
\(751\) −2.47594e7 −1.60192 −0.800959 0.598720i \(-0.795676\pi\)
−0.800959 + 0.598720i \(0.795676\pi\)
\(752\) 1.19755e6 5.11004e6i 0.0772234 0.329519i
\(753\) 2.49447e6 0.160321
\(754\) −2.15136e7 + 7.49296e6i −1.37811 + 0.479982i
\(755\) 9.44801e6 9.44801e6i 0.603216 0.603216i
\(756\) −573448. + 4.96019e6i −0.0364913 + 0.315642i
\(757\) −1.12072e7 1.12072e7i −0.710815 0.710815i 0.255891 0.966706i \(-0.417631\pi\)
−0.966706 + 0.255891i \(0.917631\pi\)
\(758\) −352343. + 728942.i −0.0222737 + 0.0460808i
\(759\) 4.31462e6i 0.271855i
\(760\) −5.42701e6 3.44303e6i −0.340821 0.216225i
\(761\) 3.13327e7i 1.96126i −0.195859 0.980632i \(-0.562749\pi\)
0.195859 0.980632i \(-0.437251\pi\)
\(762\) −1.37922e7 6.66662e6i −0.860491 0.415928i
\(763\)