Properties

Label 80.6.q.a.29.12
Level 80
Weight 6
Character 80.29
Analytic conductor 12.831
Analytic rank 0
Dimension 116
CM no
Inner twists 4

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(116\)
Relative dimension: \(58\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 29.12
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.71172 - 3.13045i) q^{2} +(-21.0051 + 21.0051i) q^{3} +(12.4006 + 29.4996i) q^{4} +(9.85062 - 55.0270i) q^{5} +(164.725 - 33.2148i) q^{6} -32.3244 q^{7} +(33.9186 - 177.813i) q^{8} -639.428i q^{9} +O(q^{10})\) \(q+(-4.71172 - 3.13045i) q^{2} +(-21.0051 + 21.0051i) q^{3} +(12.4006 + 29.4996i) q^{4} +(9.85062 - 55.0270i) q^{5} +(164.725 - 33.2148i) q^{6} -32.3244 q^{7} +(33.9186 - 177.813i) q^{8} -639.428i q^{9} +(-218.672 + 228.435i) q^{10} +(-230.870 + 230.870i) q^{11} +(-880.117 - 359.165i) q^{12} +(651.055 - 651.055i) q^{13} +(152.304 + 101.190i) q^{14} +(948.933 + 1362.76i) q^{15} +(-716.450 + 731.626i) q^{16} +1176.45i q^{17} +(-2001.69 + 3012.81i) q^{18} +(-242.298 - 242.298i) q^{19} +(1745.43 - 391.779i) q^{20} +(678.977 - 678.977i) q^{21} +(1810.52 - 365.068i) q^{22} -48.1530 q^{23} +(3022.52 + 4447.45i) q^{24} +(-2930.93 - 1084.10i) q^{25} +(-5105.68 + 1029.50i) q^{26} +(8327.01 + 8327.01i) q^{27} +(-400.843 - 953.557i) q^{28} +(5171.60 + 5171.60i) q^{29} +(-205.062 - 9391.53i) q^{30} -3323.92 q^{31} +(5666.02 - 1204.41i) q^{32} -9698.88i q^{33} +(3682.82 - 5543.11i) q^{34} +(-318.415 + 1778.71i) q^{35} +(18862.9 - 7929.30i) q^{36} +(-1791.92 - 1791.92i) q^{37} +(383.140 + 1900.14i) q^{38} +27350.9i q^{39} +(-9450.40 - 3618.01i) q^{40} +9797.06i q^{41} +(-5324.65 + 1073.65i) q^{42} +(-2561.27 - 2561.27i) q^{43} +(-9673.48 - 3947.63i) q^{44} +(-35185.8 - 6298.76i) q^{45} +(226.884 + 150.740i) q^{46} +20236.8i q^{47} +(-318.775 - 30417.0i) q^{48} -15762.1 q^{49} +(10416.0 + 14283.1i) q^{50} +(-24711.5 - 24711.5i) q^{51} +(27279.3 + 11132.4i) q^{52} +(17293.9 + 17293.9i) q^{53} +(-13167.3 - 65301.8i) q^{54} +(10429.8 + 14978.3i) q^{55} +(-1096.40 + 5747.71i) q^{56} +10179.0 q^{57} +(-8177.71 - 40556.5i) q^{58} +(15290.8 - 15290.8i) q^{59} +(-28433.5 + 44892.2i) q^{60} +(19966.9 + 19966.9i) q^{61} +(15661.4 + 10405.4i) q^{62} +20669.1i q^{63} +(-30467.1 - 12062.3i) q^{64} +(-29412.3 - 42238.8i) q^{65} +(-30361.8 + 45698.4i) q^{66} +(41363.5 - 41363.5i) q^{67} +(-34704.8 + 14588.7i) q^{68} +(1011.46 - 1011.46i) q^{69} +(7068.45 - 7384.02i) q^{70} -19336.1i q^{71} +(-113699. - 21688.5i) q^{72} +39755.2 q^{73} +(2833.51 + 14052.5i) q^{74} +(84336.1 - 38792.9i) q^{75} +(4143.05 - 10152.3i) q^{76} +(7462.73 - 7462.73i) q^{77} +(85620.6 - 128870. i) q^{78} +86421.1 q^{79} +(33201.7 + 46631.0i) q^{80} -194438. q^{81} +(30669.2 - 46161.0i) q^{82} +(-14279.7 + 14279.7i) q^{83} +(28449.3 + 11609.8i) q^{84} +(64736.5 + 11588.8i) q^{85} +(4050.07 + 20085.9i) q^{86} -217260. q^{87} +(33220.9 + 48882.4i) q^{88} +80993.3i q^{89} +(146068. + 139825. i) q^{90} +(-21045.0 + 21045.0i) q^{91} +(-597.127 - 1420.49i) q^{92} +(69819.3 - 69819.3i) q^{93} +(63350.3 - 95350.3i) q^{94} +(-15719.7 + 10946.1i) q^{95} +(-93716.7 + 144314. i) q^{96} +88094.6i q^{97} +(74266.8 + 49342.5i) q^{98} +(147625. + 147625. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + 532q^{10} - 4q^{11} + 1108q^{14} - 4q^{15} + 1216q^{16} + 2356q^{19} + 824q^{20} - 976q^{21} - 2864q^{24} - 12104q^{26} - 4q^{29} + 736q^{30} + 23056q^{31} - 38304q^{34} - 3864q^{35} - 20588q^{36} + 15144q^{40} - 25536q^{44} + 6734q^{45} - 36052q^{46} + 220884q^{49} + 56116q^{50} - 9472q^{51} - 104360q^{54} - 2552q^{56} + 14476q^{59} + 1008q^{60} - 48084q^{61} + 72944q^{64} - 27692q^{65} - 56736q^{66} - 23296q^{69} + 135260q^{70} - 186128q^{74} - 33244q^{75} - 35824q^{76} + 427312q^{79} - 129128q^{80} - 551132q^{81} - 418448q^{84} + 6248q^{85} + 177516q^{86} + 449576q^{90} - 231952q^{91} + 607356q^{94} + 38420q^{95} - 440264q^{96} + 406924q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.71172 3.13045i −0.832922 0.553390i
\(3\) −21.0051 + 21.0051i −1.34748 + 1.34748i −0.459085 + 0.888392i \(0.651823\pi\)
−0.888392 + 0.459085i \(0.848177\pi\)
\(4\) 12.4006 + 29.4996i 0.387519 + 0.921862i
\(5\) 9.85062 55.0270i 0.176213 0.984352i
\(6\) 164.725 33.2148i 1.86802 0.376664i
\(7\) −32.3244 −0.249336 −0.124668 0.992198i \(-0.539787\pi\)
−0.124668 + 0.992198i \(0.539787\pi\)
\(8\) 33.9186 177.813i 0.187376 0.982288i
\(9\) 639.428i 2.63139i
\(10\) −218.672 + 228.435i −0.691502 + 0.722374i
\(11\) −230.870 + 230.870i −0.575288 + 0.575288i −0.933601 0.358314i \(-0.883352\pi\)
0.358314 + 0.933601i \(0.383352\pi\)
\(12\) −880.117 359.165i −1.76436 0.720014i
\(13\) 651.055 651.055i 1.06846 1.06846i 0.0709847 0.997477i \(-0.477386\pi\)
0.997477 0.0709847i \(-0.0226141\pi\)
\(14\) 152.304 + 101.190i 0.207678 + 0.137980i
\(15\) 948.933 + 1362.76i 1.08895 + 1.56384i
\(16\) −716.450 + 731.626i −0.699658 + 0.714478i
\(17\) 1176.45i 0.987305i 0.869659 + 0.493653i \(0.164339\pi\)
−0.869659 + 0.493653i \(0.835661\pi\)
\(18\) −2001.69 + 3012.81i −1.45619 + 2.19174i
\(19\) −242.298 242.298i −0.153981 0.153981i 0.625913 0.779893i \(-0.284727\pi\)
−0.779893 + 0.625913i \(0.784727\pi\)
\(20\) 1745.43 391.779i 0.975722 0.219011i
\(21\) 678.977 678.977i 0.335975 0.335975i
\(22\) 1810.52 365.068i 0.797528 0.160812i
\(23\) −48.1530 −0.0189803 −0.00949017 0.999955i \(-0.503021\pi\)
−0.00949017 + 0.999955i \(0.503021\pi\)
\(24\) 3022.52 + 4447.45i 1.07113 + 1.57610i
\(25\) −2930.93 1084.10i −0.937898 0.346912i
\(26\) −5105.68 + 1029.50i −1.48122 + 0.298670i
\(27\) 8327.01 + 8327.01i 2.19826 + 2.19826i
\(28\) −400.843 953.557i −0.0966226 0.229854i
\(29\) 5171.60 + 5171.60i 1.14190 + 1.14190i 0.988102 + 0.153802i \(0.0491518\pi\)
0.153802 + 0.988102i \(0.450848\pi\)
\(30\) −205.062 9391.53i −0.0415990 1.90517i
\(31\) −3323.92 −0.621222 −0.310611 0.950537i \(-0.600534\pi\)
−0.310611 + 0.950537i \(0.600534\pi\)
\(32\) 5666.02 1204.41i 0.978146 0.207921i
\(33\) 9698.88i 1.55037i
\(34\) 3682.82 5543.11i 0.546365 0.822349i
\(35\) −318.415 + 1778.71i −0.0439364 + 0.245435i
\(36\) 18862.9 7929.30i 2.42578 1.01971i
\(37\) −1791.92 1791.92i −0.215186 0.215186i 0.591280 0.806466i \(-0.298623\pi\)
−0.806466 + 0.591280i \(0.798623\pi\)
\(38\) 383.140 + 1900.14i 0.0430426 + 0.213465i
\(39\) 27350.9i 2.87946i
\(40\) −9450.40 3618.01i −0.933899 0.357536i
\(41\) 9797.06i 0.910198i 0.890441 + 0.455099i \(0.150396\pi\)
−0.890441 + 0.455099i \(0.849604\pi\)
\(42\) −5324.65 + 1073.65i −0.465766 + 0.0939159i
\(43\) −2561.27 2561.27i −0.211244 0.211244i 0.593552 0.804796i \(-0.297725\pi\)
−0.804796 + 0.593552i \(0.797725\pi\)
\(44\) −9673.48 3947.63i −0.753271 0.307401i
\(45\) −35185.8 6298.76i −2.59021 0.463686i
\(46\) 226.884 + 150.740i 0.0158091 + 0.0105035i
\(47\) 20236.8i 1.33628i 0.744035 + 0.668141i \(0.232910\pi\)
−0.744035 + 0.668141i \(0.767090\pi\)
\(48\) −318.775 30417.0i −0.0199701 1.90552i
\(49\) −15762.1 −0.937831
\(50\) 10416.0 + 14283.1i 0.589219 + 0.807974i
\(51\) −24711.5 24711.5i −1.33037 1.33037i
\(52\) 27279.3 + 11132.4i 1.39902 + 0.570925i
\(53\) 17293.9 + 17293.9i 0.845673 + 0.845673i 0.989590 0.143917i \(-0.0459697\pi\)
−0.143917 + 0.989590i \(0.545970\pi\)
\(54\) −13167.3 65301.8i −0.614485 3.04748i
\(55\) 10429.8 + 14978.3i 0.464912 + 0.667659i
\(56\) −1096.40 + 5747.71i −0.0467195 + 0.244920i
\(57\) 10179.0 0.414971
\(58\) −8177.71 40556.5i −0.319199 1.58304i
\(59\) 15290.8 15290.8i 0.571874 0.571874i −0.360778 0.932652i \(-0.617489\pi\)
0.932652 + 0.360778i \(0.117489\pi\)
\(60\) −28433.5 + 44892.2i −1.01965 + 1.60988i
\(61\) 19966.9 + 19966.9i 0.687045 + 0.687045i 0.961578 0.274533i \(-0.0885232\pi\)
−0.274533 + 0.961578i \(0.588523\pi\)
\(62\) 15661.4 + 10405.4i 0.517430 + 0.343778i
\(63\) 20669.1i 0.656101i
\(64\) −30467.1 12062.3i −0.929781 0.368114i
\(65\) −29412.3 42238.8i −0.863466 1.24002i
\(66\) −30361.8 + 45698.4i −0.857962 + 1.29134i
\(67\) 41363.5 41363.5i 1.12572 1.12572i 0.134853 0.990866i \(-0.456944\pi\)
0.990866 0.134853i \(-0.0430563\pi\)
\(68\) −34704.8 + 14588.7i −0.910159 + 0.382600i
\(69\) 1011.46 1011.46i 0.0255756 0.0255756i
\(70\) 7068.45 7384.02i 0.172417 0.180114i
\(71\) 19336.1i 0.455222i −0.973752 0.227611i \(-0.926909\pi\)
0.973752 0.227611i \(-0.0730914\pi\)
\(72\) −113699. 21688.5i −2.58478 0.493058i
\(73\) 39755.2 0.873146 0.436573 0.899669i \(-0.356192\pi\)
0.436573 + 0.899669i \(0.356192\pi\)
\(74\) 2833.51 + 14052.5i 0.0601514 + 0.298314i
\(75\) 84336.1 38792.9i 1.73125 0.796341i
\(76\) 4143.05 10152.3i 0.0822784 0.201619i
\(77\) 7462.73 7462.73i 0.143440 0.143440i
\(78\) 85620.6 128870.i 1.59346 2.39836i
\(79\) 86421.1 1.55794 0.778972 0.627059i \(-0.215741\pi\)
0.778972 + 0.627059i \(0.215741\pi\)
\(80\) 33201.7 + 46631.0i 0.580009 + 0.814610i
\(81\) −194438. −3.29283
\(82\) 30669.2 46161.0i 0.503694 0.758124i
\(83\) −14279.7 + 14279.7i −0.227522 + 0.227522i −0.811657 0.584135i \(-0.801434\pi\)
0.584135 + 0.811657i \(0.301434\pi\)
\(84\) 28449.3 + 11609.8i 0.439919 + 0.179526i
\(85\) 64736.5 + 11588.8i 0.971856 + 0.173976i
\(86\) 4050.07 + 20085.9i 0.0590495 + 0.292850i
\(87\) −217260. −3.07738
\(88\) 33220.9 + 48882.4i 0.457304 + 0.672893i
\(89\) 80993.3i 1.08386i 0.840423 + 0.541931i \(0.182307\pi\)
−0.840423 + 0.541931i \(0.817693\pi\)
\(90\) 146068. + 139825.i 1.90085 + 1.81961i
\(91\) −21045.0 + 21045.0i −0.266406 + 0.266406i
\(92\) −597.127 1420.49i −0.00735524 0.0174972i
\(93\) 69819.3 69819.3i 0.837083 0.837083i
\(94\) 63350.3 95350.3i 0.739485 1.11302i
\(95\) −15719.7 + 10946.1i −0.178705 + 0.124438i
\(96\) −93716.7 + 144314.i −1.03786 + 1.59820i
\(97\) 88094.6i 0.950649i 0.879811 + 0.475324i \(0.157669\pi\)
−0.879811 + 0.475324i \(0.842331\pi\)
\(98\) 74266.8 + 49342.5i 0.781141 + 0.518986i
\(99\) 147625. + 147625.i 1.51381 + 1.51381i
\(100\) −4364.89 99904.7i −0.0436489 0.999047i
\(101\) 29479.5 29479.5i 0.287552 0.287552i −0.548560 0.836111i \(-0.684824\pi\)
0.836111 + 0.548560i \(0.184824\pi\)
\(102\) 39075.6 + 193791.i 0.371882 + 1.84431i
\(103\) −42415.4 −0.393940 −0.196970 0.980409i \(-0.563110\pi\)
−0.196970 + 0.980409i \(0.563110\pi\)
\(104\) −93683.3 137849.i −0.849334 1.24974i
\(105\) −30673.7 44050.4i −0.271515 0.389921i
\(106\) −27346.3 135621.i −0.236393 1.17237i
\(107\) 90713.9 + 90713.9i 0.765975 + 0.765975i 0.977395 0.211420i \(-0.0678089\pi\)
−0.211420 + 0.977395i \(0.567809\pi\)
\(108\) −142383. + 348903.i −1.17462 + 2.87836i
\(109\) 33393.9 + 33393.9i 0.269216 + 0.269216i 0.828784 0.559568i \(-0.189033\pi\)
−0.559568 + 0.828784i \(0.689033\pi\)
\(110\) −2253.87 103223.i −0.0177601 0.813386i
\(111\) 75278.7 0.579916
\(112\) 23158.8 23649.4i 0.174450 0.178145i
\(113\) 70480.8i 0.519248i −0.965710 0.259624i \(-0.916401\pi\)
0.965710 0.259624i \(-0.0835986\pi\)
\(114\) −47960.6 31864.8i −0.345639 0.229641i
\(115\) −474.337 + 2649.71i −0.00334459 + 0.0186833i
\(116\) −88428.9 + 216691.i −0.610168 + 1.49519i
\(117\) −416303. 416303.i −2.81154 2.81154i
\(118\) −119913. + 24178.9i −0.792796 + 0.159857i
\(119\) 38028.1i 0.246171i
\(120\) 274503. 122510.i 1.74018 0.776637i
\(121\) 54449.4i 0.338088i
\(122\) −31573.1 156583.i −0.192051 0.952459i
\(123\) −205788. 205788.i −1.22647 1.22647i
\(124\) −41218.7 98054.3i −0.240735 0.572681i
\(125\) −88526.1 + 150601.i −0.506753 + 0.862091i
\(126\) 64703.6 97387.2i 0.363080 0.546482i
\(127\) 143001.i 0.786736i 0.919381 + 0.393368i \(0.128690\pi\)
−0.919381 + 0.393368i \(0.871310\pi\)
\(128\) 105792. + 152210.i 0.570725 + 0.821141i
\(129\) 107599. 0.569293
\(130\) 6355.93 + 291091.i 0.0329853 + 1.51067i
\(131\) 137562. + 137562.i 0.700357 + 0.700357i 0.964487 0.264130i \(-0.0850847\pi\)
−0.264130 + 0.964487i \(0.585085\pi\)
\(132\) 286113. 120272.i 1.42923 0.600800i
\(133\) 7832.15 + 7832.15i 0.0383930 + 0.0383930i
\(134\) −324379. + 65407.0i −1.56060 + 0.314675i
\(135\) 540236. 376184.i 2.55123 1.77650i
\(136\) 209188. + 39903.6i 0.969818 + 0.184997i
\(137\) −162986. −0.741905 −0.370952 0.928652i \(-0.620969\pi\)
−0.370952 + 0.928652i \(0.620969\pi\)
\(138\) −7932.03 + 1599.39i −0.0354557 + 0.00714920i
\(139\) 141219. 141219.i 0.619950 0.619950i −0.325568 0.945518i \(-0.605556\pi\)
0.945518 + 0.325568i \(0.105556\pi\)
\(140\) −56419.9 + 12664.0i −0.243283 + 0.0546074i
\(141\) −425077. 425077.i −1.80061 1.80061i
\(142\) −60530.6 + 91106.3i −0.251915 + 0.379164i
\(143\) 300618.i 1.22935i
\(144\) 467822. + 458118.i 1.88007 + 1.84107i
\(145\) 335521. 233634.i 1.32525 0.922817i
\(146\) −187315. 124452.i −0.727263 0.483190i
\(147\) 331085. 331085.i 1.26371 1.26371i
\(148\) 30639.9 75081.6i 0.114983 0.281760i
\(149\) 38714.4 38714.4i 0.142859 0.142859i −0.632060 0.774919i \(-0.717791\pi\)
0.774919 + 0.632060i \(0.217791\pi\)
\(150\) −518807. 81228.4i −1.88268 0.294767i
\(151\) 186695.i 0.666333i 0.942868 + 0.333166i \(0.108117\pi\)
−0.942868 + 0.333166i \(0.891883\pi\)
\(152\) −51302.2 + 34865.4i −0.180106 + 0.122401i
\(153\) 752255. 2.59799
\(154\) −58524.0 + 11800.6i −0.198853 + 0.0400962i
\(155\) −32742.7 + 182905.i −0.109468 + 0.611501i
\(156\) −806841. + 339168.i −2.65446 + 1.11584i
\(157\) 85417.1 85417.1i 0.276564 0.276564i −0.555172 0.831736i \(-0.687347\pi\)
0.831736 + 0.555172i \(0.187347\pi\)
\(158\) −407192. 270536.i −1.29765 0.862151i
\(159\) −726519. −2.27905
\(160\) −10461.1 323648.i −0.0323055 0.999478i
\(161\) 1556.52 0.00473249
\(162\) 916138. + 608678.i 2.74267 + 1.82222i
\(163\) −413981. + 413981.i −1.22043 + 1.22043i −0.252945 + 0.967481i \(0.581399\pi\)
−0.967481 + 0.252945i \(0.918601\pi\)
\(164\) −289009. + 121489.i −0.839077 + 0.352719i
\(165\) −533700. 95539.9i −1.52611 0.273196i
\(166\) 111984. 22580.1i 0.315417 0.0635998i
\(167\) 85966.2 0.238527 0.119263 0.992863i \(-0.461947\pi\)
0.119263 + 0.992863i \(0.461947\pi\)
\(168\) −97701.2 143761.i −0.267071 0.392978i
\(169\) 476452.i 1.28322i
\(170\) −268742. 257257.i −0.713204 0.682724i
\(171\) −154932. + 154932.i −0.405183 + 0.405183i
\(172\) 43795.0 107318.i 0.112877 0.276599i
\(173\) 150249. 150249.i 0.381677 0.381677i −0.490029 0.871706i \(-0.663014\pi\)
0.871706 + 0.490029i \(0.163014\pi\)
\(174\) 1.02367e6 + 680120.i 2.56322 + 1.70299i
\(175\) 94740.6 + 35042.9i 0.233852 + 0.0864977i
\(176\) −3503.70 334317.i −0.00852599 0.813535i
\(177\) 642369.i 1.54117i
\(178\) 253545. 381618.i 0.599798 0.902773i
\(179\) 112055. + 112055.i 0.261396 + 0.261396i 0.825621 0.564225i \(-0.190825\pi\)
−0.564225 + 0.825621i \(0.690825\pi\)
\(180\) −250514. 1.11607e6i −0.576304 2.56751i
\(181\) 37719.5 37719.5i 0.0855794 0.0855794i −0.663021 0.748601i \(-0.730726\pi\)
0.748601 + 0.663021i \(0.230726\pi\)
\(182\) 165038. 33277.9i 0.369323 0.0744692i
\(183\) −838811. −1.85155
\(184\) −1633.28 + 8562.24i −0.00355645 + 0.0186442i
\(185\) −116255. + 80952.2i −0.249737 + 0.173900i
\(186\) −547535. + 110403.i −1.16046 + 0.233992i
\(187\) −271607. 271607.i −0.567985 0.567985i
\(188\) −596978. + 250949.i −1.23187 + 0.517835i
\(189\) −269166. 269166.i −0.548107 0.548107i
\(190\) 108333. 2365.44i 0.217710 0.00475365i
\(191\) 22570.2 0.0447664 0.0223832 0.999749i \(-0.492875\pi\)
0.0223832 + 0.999749i \(0.492875\pi\)
\(192\) 893334. 386593.i 1.74888 0.756834i
\(193\) 847216.i 1.63720i 0.574366 + 0.818598i \(0.305248\pi\)
−0.574366 + 0.818598i \(0.694752\pi\)
\(194\) 275775. 415077.i 0.526079 0.791816i
\(195\) 1.50504e6 + 269424.i 2.83440 + 0.507398i
\(196\) −195460. 464976.i −0.363428 0.864551i
\(197\) −161774. 161774.i −0.296991 0.296991i 0.542843 0.839834i \(-0.317348\pi\)
−0.839834 + 0.542843i \(0.817348\pi\)
\(198\) −233435. 1.15770e6i −0.423158 2.09861i
\(199\) 1.06516e6i 1.90669i −0.301877 0.953347i \(-0.597613\pi\)
0.301877 0.953347i \(-0.402387\pi\)
\(200\) −292180. + 484387.i −0.516506 + 0.856283i
\(201\) 1.73769e6i 3.03376i
\(202\) −231183. + 46615.1i −0.398636 + 0.0803800i
\(203\) −167169. 167169.i −0.284718 0.284718i
\(204\) 422540. 1.03541e6i 0.710874 1.74196i
\(205\) 539102. + 96507.0i 0.895955 + 0.160389i
\(206\) 199850. + 132779.i 0.328122 + 0.218003i
\(207\) 30790.4i 0.0499447i
\(208\) 9880.46 + 942776.i 0.0158350 + 1.51095i
\(209\) 111879. 0.177166
\(210\) 6628.52 + 303576.i 0.0103721 + 0.475027i
\(211\) −829752. 829752.i −1.28305 1.28305i −0.938926 0.344120i \(-0.888177\pi\)
−0.344120 0.938926i \(-0.611823\pi\)
\(212\) −295707. + 724616.i −0.451879 + 1.10731i
\(213\) 406157. + 406157.i 0.613401 + 0.613401i
\(214\) −143444. 711394.i −0.214115 1.06188i
\(215\) −166169. + 115709.i −0.245162 + 0.170714i
\(216\) 1.76309e6 1.19821e6i 2.57123 1.74743i
\(217\) 107444. 0.154893
\(218\) −52805.0 261881.i −0.0752547 0.373218i
\(219\) −835062. + 835062.i −1.17654 + 1.17654i
\(220\) −312516. + 493416.i −0.435327 + 0.687316i
\(221\) 765934. + 765934.i 1.05490 + 1.05490i
\(222\) −354692. 235656.i −0.483025 0.320919i
\(223\) 123222.i 0.165930i −0.996552 0.0829652i \(-0.973561\pi\)
0.996552 0.0829652i \(-0.0264390\pi\)
\(224\) −183151. + 38931.8i −0.243887 + 0.0518423i
\(225\) −693203. + 1.87412e6i −0.912860 + 2.46798i
\(226\) −220636. + 332086.i −0.287347 + 0.432493i
\(227\) −567370. + 567370.i −0.730805 + 0.730805i −0.970779 0.239974i \(-0.922861\pi\)
0.239974 + 0.970779i \(0.422861\pi\)
\(228\) 126226. + 300276.i 0.160809 + 0.382546i
\(229\) 397217. 397217.i 0.500541 0.500541i −0.411065 0.911606i \(-0.634843\pi\)
0.911606 + 0.411065i \(0.134843\pi\)
\(230\) 10529.7 10999.8i 0.0131249 0.0137109i
\(231\) 313511.i 0.386565i
\(232\) 1.09499e6 744165.i 1.33564 0.907714i
\(233\) 1.54172e6 1.86044 0.930221 0.367000i \(-0.119615\pi\)
0.930221 + 0.367000i \(0.119615\pi\)
\(234\) 658288. + 3.26471e6i 0.785917 + 3.89767i
\(235\) 1.11357e6 + 199345.i 1.31537 + 0.235470i
\(236\) 640687. + 261457.i 0.748801 + 0.305576i
\(237\) −1.81528e6 + 1.81528e6i −2.09929 + 2.09929i
\(238\) −119045. + 179178.i −0.136229 + 0.205041i
\(239\) −804561. −0.911096 −0.455548 0.890211i \(-0.650557\pi\)
−0.455548 + 0.890211i \(0.650557\pi\)
\(240\) −1.67689e6 282085.i −1.87922 0.316119i
\(241\) −368334. −0.408506 −0.204253 0.978918i \(-0.565477\pi\)
−0.204253 + 0.978918i \(0.565477\pi\)
\(242\) 170451. 256550.i 0.187094 0.281601i
\(243\) 2.06073e6 2.06073e6i 2.23875 2.23875i
\(244\) −341412. + 836615.i −0.367117 + 0.899603i
\(245\) −155267. + 867342.i −0.165258 + 0.923156i
\(246\) 325407. + 1.61382e6i 0.342838 + 1.70027i
\(247\) −315499. −0.329045
\(248\) −112743. + 591037.i −0.116402 + 0.610219i
\(249\) 599893.i 0.613162i
\(250\) 888559. 432464.i 0.899159 0.437623i
\(251\) 705831. 705831.i 0.707158 0.707158i −0.258779 0.965937i \(-0.583320\pi\)
0.965937 + 0.258779i \(0.0833201\pi\)
\(252\) −609731. + 256310.i −0.604835 + 0.254252i
\(253\) 11117.1 11117.1i 0.0109192 0.0109192i
\(254\) 447656. 673779.i 0.435372 0.655290i
\(255\) −1.60322e6 + 1.11637e6i −1.54398 + 1.07512i
\(256\) −21976.1 1.04835e6i −0.0209580 0.999780i
\(257\) 1.97850e6i 1.86854i −0.356560 0.934272i \(-0.616050\pi\)
0.356560 0.934272i \(-0.383950\pi\)
\(258\) −506978. 336834.i −0.474176 0.315041i
\(259\) 57922.6 + 57922.6i 0.0536536 + 0.0536536i
\(260\) 881298. 1.39144e6i 0.808517 1.27653i
\(261\) 3.30686e6 3.30686e6i 3.00480 3.00480i
\(262\) −217523. 1.07878e6i −0.195773 0.970914i
\(263\) −288233. −0.256954 −0.128477 0.991713i \(-0.541009\pi\)
−0.128477 + 0.991713i \(0.541009\pi\)
\(264\) −1.72459e6 328972.i −1.52291 0.290502i
\(265\) 1.12198e6 781274.i 0.981459 0.683421i
\(266\) −12384.8 61421.0i −0.0107321 0.0532247i
\(267\) −1.70127e6 1.70127e6i −1.46048 1.46048i
\(268\) 1.73314e6 + 707272.i 1.47399 + 0.601519i
\(269\) 370575. + 370575.i 0.312245 + 0.312245i 0.845779 0.533534i \(-0.179136\pi\)
−0.533534 + 0.845779i \(0.679136\pi\)
\(270\) −3.72306e6 + 81292.5i −3.10807 + 0.0678642i
\(271\) 607902. 0.502817 0.251409 0.967881i \(-0.419106\pi\)
0.251409 + 0.967881i \(0.419106\pi\)
\(272\) −860721. 842868.i −0.705408 0.690776i
\(273\) 884103.i 0.717953i
\(274\) 767943. + 510218.i 0.617949 + 0.410563i
\(275\) 926948. 426377.i 0.739135 0.339987i
\(276\) 42380.3 + 17294.9i 0.0334882 + 0.0136661i
\(277\) 142700. + 142700.i 0.111744 + 0.111744i 0.760768 0.649024i \(-0.224822\pi\)
−0.649024 + 0.760768i \(0.724822\pi\)
\(278\) −1.10746e6 + 223306.i −0.859444 + 0.173296i
\(279\) 2.12541e6i 1.63468i
\(280\) 305479. + 116950.i 0.232855 + 0.0891467i
\(281\) 1.75177e6i 1.32346i 0.749742 + 0.661730i \(0.230178\pi\)
−0.749742 + 0.661730i \(0.769822\pi\)
\(282\) 672163. + 3.33352e6i 0.503329 + 2.49621i
\(283\) 1.02051e6 + 1.02051e6i 0.757446 + 0.757446i 0.975857 0.218411i \(-0.0700872\pi\)
−0.218411 + 0.975857i \(0.570087\pi\)
\(284\) 570407. 239779.i 0.419651 0.176407i
\(285\) 100269. 560119.i 0.0731233 0.408477i
\(286\) 941067. 1.41643e6i 0.680308 1.02395i
\(287\) 316684.i 0.226945i
\(288\) −770132. 3.62301e6i −0.547122 2.57388i
\(289\) 35820.9 0.0252285
\(290\) −2.31226e6 + 50487.7i −1.61451 + 0.0352526i
\(291\) −1.85044e6 1.85044e6i −1.28098 1.28098i
\(292\) 492989. + 1.17276e6i 0.338361 + 0.804920i
\(293\) −1.57455e6 1.57455e6i −1.07149 1.07149i −0.997240 0.0742474i \(-0.976345\pi\)
−0.0742474 0.997240i \(1.47634\pi\)
\(294\) −2.59642e6 + 523536.i −1.75189 + 0.353247i
\(295\) −690782. 992030.i −0.462153 0.663697i
\(296\) −379406. + 257847.i −0.251695 + 0.171054i
\(297\) −3.84491e6 −2.52927
\(298\) −303605. + 61218.1i −0.198047 + 0.0399337i
\(299\) −31350.2 + 31350.2i −0.0202798 + 0.0202798i
\(300\) 2.19019e6 + 2.00682e6i 1.40501 + 1.28738i
\(301\) 82791.5 + 82791.5i 0.0526708 + 0.0526708i
\(302\) 584440. 879656.i 0.368742 0.555003i
\(303\) 1.23844e6i 0.774939i
\(304\) 350866. 3677.14i 0.217750 0.00228205i
\(305\) 1.29540e6 902029.i 0.797360 0.555228i
\(306\) −3.54442e6 2.35489e6i −2.16392 1.43770i
\(307\) −547229. + 547229.i −0.331378 + 0.331378i −0.853110 0.521732i \(-0.825286\pi\)
0.521732 + 0.853110i \(0.325286\pi\)
\(308\) 312690. + 127605.i 0.187818 + 0.0766462i
\(309\) 890940. 890940.i 0.530826 0.530826i
\(310\) 726850. 759300.i 0.429576 0.448755i
\(311\) 995943.i 0.583893i 0.956435 + 0.291947i \(0.0943030\pi\)
−0.956435 + 0.291947i \(0.905697\pi\)
\(312\) 4.86336e6 + 927705.i 2.82846 + 0.539540i
\(313\) −529411. −0.305444 −0.152722 0.988269i \(-0.548804\pi\)
−0.152722 + 0.988269i \(0.548804\pi\)
\(314\) −669855. + 135068.i −0.383404 + 0.0773086i
\(315\) 1.13736e6 + 203604.i 0.645835 + 0.115614i
\(316\) 1.07167e6 + 2.54938e6i 0.603733 + 1.43621i
\(317\) 1.49497e6 1.49497e6i 0.835574 0.835574i −0.152699 0.988273i \(-0.548797\pi\)
0.988273 + 0.152699i \(0.0487965\pi\)
\(318\) 3.42315e6 + 2.27433e6i 1.89827 + 1.26120i
\(319\) −2.38793e6 −1.31385
\(320\) −963874. + 1.55769e6i −0.526193 + 0.850365i
\(321\) −3.81091e6 −2.06427
\(322\) −7333.88 4872.60i −0.00394180 0.00261891i
\(323\) 285052. 285052.i 0.152026 0.152026i
\(324\) −2.41115e6 5.73584e6i −1.27603 3.03553i
\(325\) −2.61400e6 + 1.20239e6i −1.37277 + 0.631446i
\(326\) 3.24651e6 654617.i 1.69189 0.341149i
\(327\) −1.40289e6 −0.725526
\(328\) 1.74205e6 + 332302.i 0.894077 + 0.170549i
\(329\) 654144.i 0.333184i
\(330\) 2.21556e6 + 2.12088e6i 1.11995 + 1.07209i
\(331\) −1.29537e6 + 1.29537e6i −0.649866 + 0.649866i −0.952960 0.303095i \(-0.901980\pi\)
0.303095 + 0.952960i \(0.401980\pi\)
\(332\) −598322. 244168.i −0.297913 0.121575i
\(333\) −1.14580e6 + 1.14580e6i −0.566237 + 0.566237i
\(334\) −405049. 269113.i −0.198674 0.131998i
\(335\) −1.86865e6 2.68356e6i −0.909737 1.30647i
\(336\) 10304.2 + 983210.i 0.00497928 + 0.475114i
\(337\) 1.63734e6i 0.785350i −0.919677 0.392675i \(-0.871550\pi\)
0.919677 0.392675i \(-0.128450\pi\)
\(338\) −1.49151e6 + 2.24491e6i −0.710122 + 1.06882i
\(339\) 1.48046e6 + 1.48046e6i 0.699675 + 0.699675i
\(340\) 460909. + 2.05341e6i 0.216231 + 0.963336i
\(341\) 767393. 767393.i 0.357381 0.357381i
\(342\) 1.21500e6 244990.i 0.561710 0.113262i
\(343\) 1.05278e6 0.483172
\(344\) −542302. + 368553.i −0.247084 + 0.167920i
\(345\) −45694.0 65621.0i −0.0206686 0.0296821i
\(346\) −1.17828e6 + 237584.i −0.529123 + 0.106691i
\(347\) 1.30577e6 + 1.30577e6i 0.582159 + 0.582159i 0.935496 0.353337i \(-0.114953\pi\)
−0.353337 + 0.935496i \(0.614953\pi\)
\(348\) −2.69415e6 6.40907e6i −1.19254 2.83692i
\(349\) 2.24617e6 + 2.24617e6i 0.987143 + 0.987143i 0.999918 0.0127756i \(-0.00406671\pi\)
−0.0127756 + 0.999918i \(0.504067\pi\)
\(350\) −336692. 461693.i −0.146914 0.201457i
\(351\) 1.08427e7 4.69752
\(352\) −1.03005e6 + 1.58617e6i −0.443101 + 0.682330i
\(353\) 1.98152e6i 0.846371i 0.906043 + 0.423186i \(0.139088\pi\)
−0.906043 + 0.423186i \(0.860912\pi\)
\(354\) 2.01090e6 3.02667e6i 0.852870 1.28368i
\(355\) −1.06401e6 190472.i −0.448098 0.0802161i
\(356\) −2.38927e6 + 1.00437e6i −0.999171 + 0.420017i
\(357\) 798783. + 798783.i 0.331710 + 0.331710i
\(358\) −177190. 878756.i −0.0730688 0.362377i
\(359\) 2.59048e6i 1.06082i 0.847740 + 0.530412i \(0.177963\pi\)
−0.847740 + 0.530412i \(0.822037\pi\)
\(360\) −2.31345e6 + 6.04285e6i −0.940816 + 2.45745i
\(361\) 2.35868e6i 0.952580i
\(362\) −295802. + 59644.8i −0.118640 + 0.0239222i
\(363\) −1.14371e6 1.14371e6i −0.455566 0.455566i
\(364\) −881788. 359847.i −0.348828 0.142352i
\(365\) 391613. 2.18761e6i 0.153860 0.859483i
\(366\) 3.95224e6 + 2.62585e6i 1.54220 + 1.02463i
\(367\) 1.73093e6i 0.670832i −0.942070 0.335416i \(-0.891123\pi\)
0.942070 0.335416i \(-0.108877\pi\)
\(368\) 34499.2 35230.0i 0.0132797 0.0135610i
\(369\) 6.26451e6 2.39509
\(370\) 801178. 17493.6i 0.304246 0.00664316i
\(371\) −559014. 559014.i −0.210857 0.210857i
\(372\) 2.92544e6 + 1.19384e6i 1.09606 + 0.447289i
\(373\) 404589. + 404589.i 0.150571 + 0.150571i 0.778373 0.627802i \(-0.216045\pi\)
−0.627802 + 0.778373i \(0.716045\pi\)
\(374\) 429485. + 2.12999e6i 0.158770 + 0.787404i
\(375\) −1.30389e6 5.02289e6i −0.478810 1.84449i
\(376\) 3.59838e6 + 686405.i 1.31261 + 0.250387i
\(377\) 6.73398e6 2.44016
\(378\) 425625. + 2.11084e6i 0.153214 + 0.759847i
\(379\) 71522.8 71522.8i 0.0255768 0.0255768i −0.694203 0.719780i \(-0.744243\pi\)
0.719780 + 0.694203i \(0.244243\pi\)
\(380\) −517841. 327986.i −0.183966 0.116519i
\(381\) −3.00374e6 3.00374e6i −1.06011 1.06011i
\(382\) −106345. 70654.8i −0.0372869 0.0247733i
\(383\) 804828.i 0.280354i 0.990126 + 0.140177i \(0.0447671\pi\)
−0.990126 + 0.140177i \(0.955233\pi\)
\(384\) −5.41935e6 975018.i −1.87551 0.337431i
\(385\) −337139. 484164.i −0.115920 0.166472i
\(386\) 2.65216e6 3.99184e6i 0.906008 1.36366i
\(387\) −1.63775e6 + 1.63775e6i −0.555865 + 0.555865i
\(388\) −2.59875e6 + 1.09243e6i −0.876366 + 0.368395i
\(389\) −2.13995e6 + 2.13995e6i −0.717016 + 0.717016i −0.967993 0.250977i \(-0.919248\pi\)
0.250977 + 0.967993i \(0.419248\pi\)
\(390\) −6.24790e6 5.98089e6i −2.08005 1.99115i
\(391\) 56649.6i 0.0187394i
\(392\) −534629. + 2.80271e6i −0.175727 + 0.921221i
\(393\) −5.77900e6 −1.88743
\(394\) 255809. + 1.26866e6i 0.0830185 + 0.411722i
\(395\) 851301. 4.75549e6i 0.274530 1.53357i
\(396\) −2.52423e6 + 6.18549e6i −0.808891 + 1.98215i
\(397\) −728887. + 728887.i −0.232105 + 0.232105i −0.813571 0.581466i \(-0.802479\pi\)
0.581466 + 0.813571i \(0.302479\pi\)
\(398\) −3.33442e6 + 5.01872e6i −1.05515 + 1.58813i
\(399\) −329030. −0.103467
\(400\) 2.89302e6 1.36764e6i 0.904068 0.427388i
\(401\) −1.26052e6 −0.391461 −0.195730 0.980658i \(-0.562708\pi\)
−0.195730 + 0.980658i \(0.562708\pi\)
\(402\) 5.43974e6 8.18749e6i 1.67885 2.52689i
\(403\) −2.16406e6 + 2.16406e6i −0.663752 + 0.663752i
\(404\) 1.23519e6 + 504068.i 0.376515 + 0.153651i
\(405\) −1.91534e6 + 1.06993e7i −0.580239 + 3.24130i
\(406\) 264340. + 1.31097e6i 0.0795880 + 0.394708i
\(407\) 827398. 0.247587
\(408\) −5.23220e6 + 3.55584e6i −1.55609 + 1.05753i
\(409\) 102667.i 0.0303476i 0.999885 + 0.0151738i \(0.00483016\pi\)
−0.999885 + 0.0151738i \(0.995170\pi\)
\(410\) −2.23799e6 2.14234e6i −0.657504 0.629404i
\(411\) 3.42353e6 3.42353e6i 0.999700 0.999700i
\(412\) −525977. 1.25124e6i −0.152659 0.363159i
\(413\) −494266. + 494266.i −0.142589 + 0.142589i
\(414\) 96387.6 145076.i 0.0276389 0.0416000i
\(415\) 645104. + 926432.i 0.183869 + 0.264054i
\(416\) 2.90476e6 4.47303e6i 0.822955 1.26727i
\(417\) 5.93264e6i 1.67074i
\(418\) −527141. 350230.i −0.147566 0.0980421i
\(419\) 1.91510e6 + 1.91510e6i 0.532914 + 0.532914i 0.921438 0.388524i \(-0.127015\pi\)
−0.388524 + 0.921438i \(0.627015\pi\)
\(420\) 919095. 1.45111e6i 0.254236 0.401401i
\(421\) −3.26358e6 + 3.26358e6i −0.897407 + 0.897407i −0.995206 0.0977990i \(-0.968820\pi\)
0.0977990 + 0.995206i \(0.468820\pi\)
\(422\) 1.31207e6 + 6.50705e6i 0.358653 + 1.77870i
\(423\) 1.29400e7 3.51628
\(424\) 3.66166e6 2.48849e6i 0.989153 0.672236i
\(425\) 1.27539e6 3.44810e6i 0.342508 0.925991i
\(426\) −642245. 3.18515e6i −0.171465 0.850365i
\(427\) −645417. 645417.i −0.171305 0.171305i
\(428\) −1.55111e6 + 3.80093e6i −0.409293 + 1.00295i
\(429\) −6.31450e6 6.31450e6i −1.65652 1.65652i
\(430\) 1.14516e6 25004.4i 0.298673 0.00652147i
\(431\) −3.84016e6 −0.995764 −0.497882 0.867245i \(-0.665889\pi\)
−0.497882 + 0.867245i \(0.665889\pi\)
\(432\) −1.20581e7 + 126371.i −3.10864 + 0.0325791i
\(433\) 3.70855e6i 0.950572i −0.879831 0.475286i \(-0.842345\pi\)
0.879831 0.475286i \(-0.157655\pi\)
\(434\) −506246. 336347.i −0.129014 0.0857164i
\(435\) −2.14014e6 + 1.19551e7i −0.542275 + 3.02922i
\(436\) −571001. + 1.39921e6i −0.143854 + 0.352507i
\(437\) 11667.4 + 11667.4i 0.00292260 + 0.00292260i
\(438\) 6.54869e6 1.32046e6i 1.63106 0.328882i
\(439\) 5.33655e6i 1.32160i −0.750563 0.660799i \(-0.770218\pi\)
0.750563 0.660799i \(-0.229782\pi\)
\(440\) 3.01710e6 1.34652e6i 0.742947 0.331575i
\(441\) 1.00787e7i 2.46780i
\(442\) −1.21115e6 6.00658e6i −0.294878 1.46242i
\(443\) 296026. + 296026.i 0.0716673 + 0.0716673i 0.742032 0.670365i \(-0.233862\pi\)
−0.670365 + 0.742032i \(0.733862\pi\)
\(444\) 933502. + 2.22069e6i 0.224728 + 0.534602i
\(445\) 4.45681e6 + 797834.i 1.06690 + 0.190991i
\(446\) −385740. + 580587.i −0.0918242 + 0.138207i
\(447\) 1.62640e6i 0.384998i
\(448\) 984830. + 389908.i 0.231828 + 0.0917841i
\(449\) 2.99123e6 0.700219 0.350110 0.936709i \(-0.386144\pi\)
0.350110 + 0.936709i \(0.386144\pi\)
\(450\) 9.13301e6 6.66029e6i 2.12609 1.55046i
\(451\) −2.26184e6 2.26184e6i −0.523626 0.523626i
\(452\) 2.07915e6 874005.i 0.478675 0.201219i
\(453\) −3.92155e6 3.92155e6i −0.897868 0.897868i
\(454\) 4.44941e6 897167.i 1.01312 0.204284i
\(455\) 950734. + 1.36535e6i 0.215293 + 0.309182i
\(456\) 345257. 1.80996e6i 0.0777554 0.407621i
\(457\) −4.94502e6 −1.10759 −0.553793 0.832654i \(-0.686820\pi\)
−0.553793 + 0.832654i \(0.686820\pi\)
\(458\) −3.11504e6 + 628109.i −0.693906 + 0.139917i
\(459\) −9.79631e6 + 9.79631e6i −2.17036 + 2.17036i
\(460\) −84047.5 + 18865.3i −0.0185195 + 0.00415690i
\(461\) −773879. 773879.i −0.169598 0.169598i 0.617205 0.786803i \(-0.288265\pi\)
−0.786803 + 0.617205i \(0.788265\pi\)
\(462\) 981428. 1.47717e6i 0.213921 0.321978i
\(463\) 989094.i 0.214430i 0.994236 + 0.107215i \(0.0341933\pi\)
−0.994236 + 0.107215i \(0.965807\pi\)
\(464\) −7.48886e6 + 78484.6i −1.61481 + 0.0169235i
\(465\) −3.15418e6 4.52971e6i −0.676479 0.971489i
\(466\) −7.26416e6 4.82628e6i −1.54960 1.02955i
\(467\) −176655. + 176655.i −0.0374829 + 0.0374829i −0.725600 0.688117i \(-0.758438\pi\)
0.688117 + 0.725600i \(0.258438\pi\)
\(468\) 7.11834e6 1.74432e7i 1.50233 3.68138i
\(469\) −1.33705e6 + 1.33705e6i −0.280683 + 0.280683i
\(470\) −4.62280e6 4.42523e6i −0.965295 0.924042i
\(471\) 3.58839e6i 0.745327i
\(472\) −2.20026e6 3.23755e6i −0.454590 0.668900i
\(473\) 1.18264e6 0.243052
\(474\) 1.42357e7 2.87046e6i 2.91028 0.586821i
\(475\) 447484. + 972834.i 0.0910004 + 0.197836i
\(476\) 1.12181e6 471572.i 0.226936 0.0953960i
\(477\) 1.10582e7 1.10582e7i 2.22530 2.22530i
\(478\) 3.79086e6 + 2.51863e6i 0.758872 + 0.504191i
\(479\) 239770. 0.0477481 0.0238741 0.999715i \(-0.492400\pi\)
0.0238741 + 0.999715i \(0.492400\pi\)
\(480\) 7.01800e6 + 6.57852e6i 1.39031 + 1.30324i
\(481\) −2.33327e6 −0.459835
\(482\) 1.73548e6 + 1.15305e6i 0.340254 + 0.226063i
\(483\) −32694.8 + 32694.8i −0.00637692 + 0.00637692i
\(484\) −1.60623e6 + 675206.i −0.311670 + 0.131016i
\(485\) 4.84758e6 + 867786.i 0.935773 + 0.167517i
\(486\) −1.61606e7 + 3.25858e6i −3.10360 + 0.625802i
\(487\) −6.61335e6 −1.26357 −0.631784 0.775144i \(-0.717677\pi\)
−0.631784 + 0.775144i \(0.717677\pi\)
\(488\) 4.22762e6 2.87312e6i 0.803612 0.546141i
\(489\) 1.73914e7i 3.28899i
\(490\) 3.44674e6 3.60062e6i 0.648513 0.677465i
\(491\) −4.31317e6 + 4.31317e6i −0.807408 + 0.807408i −0.984241 0.176833i \(-0.943415\pi\)
0.176833 + 0.984241i \(0.443415\pi\)
\(492\) 3.51876e6 8.62256e6i 0.655356 1.60592i
\(493\) −6.08413e6 + 6.08413e6i −1.12741 + 1.12741i
\(494\) 1.48654e6 + 987652.i 0.274069 + 0.182090i
\(495\) 9.57752e6 6.66913e6i 1.75687 1.22337i
\(496\) 2.38142e6 2.43187e6i 0.434643 0.443850i
\(497\) 625028.i 0.113503i
\(498\) −1.87793e6 + 2.82653e6i −0.339318 + 0.510716i
\(499\) 870474. + 870474.i 0.156496 + 0.156496i 0.781012 0.624516i \(-0.214704\pi\)
−0.624516 + 0.781012i \(0.714704\pi\)
\(500\) −5.54045e6 743937.i −0.991105 0.133079i
\(501\) −1.80573e6 + 1.80573e6i −0.321409 + 0.321409i
\(502\) −5.53524e6 + 1.11611e6i −0.980342 + 0.197674i
\(503\) −1.49845e6 −0.264072 −0.132036 0.991245i \(-0.542151\pi\)
−0.132036 + 0.991245i \(0.542151\pi\)
\(504\) 3.67525e6 + 701068.i 0.644481 + 0.122937i
\(505\) −1.33177e6 1.91256e6i −0.232382 0.333723i
\(506\) −87181.9 + 17579.1i −0.0151374 + 0.00305226i
\(507\) 1.00079e7 + 1.00079e7i 1.72911 + 1.72911i
\(508\) −4.21846e6 + 1.77330e6i −0.725261 + 0.304875i
\(509\) 5.26182e6 + 5.26182e6i 0.900206 + 0.900206i 0.995454 0.0952477i \(-0.0303643\pi\)
−0.0952477 + 0.995454i \(0.530364\pi\)
\(510\) 1.10487e7 241246.i 1.88098 0.0410709i
\(511\) −1.28506e6 −0.217707
\(512\) −3.17824e6 + 5.00831e6i −0.535812 + 0.844337i
\(513\) 4.03524e6i 0.676980i
\(514\) −6.19359e6 + 9.32215e6i −1.03403 + 1.55635i
\(515\) −417818. + 2.33399e6i −0.0694175 + 0.387776i
\(516\) 1.33430e6 + 3.17414e6i 0.220612 + 0.524809i
\(517\) −4.67207e6 4.67207e6i −0.768746 0.768746i
\(518\) −91591.6 454239.i −0.0149979 0.0743806i
\(519\) 6.31198e6i 1.02860i
\(520\) −8.50825e6 + 3.79721e6i −1.37985 + 0.615823i
\(521\) 1.86604e6i 0.301181i 0.988596 + 0.150590i \(0.0481174\pi\)
−0.988596 + 0.150590i \(0.951883\pi\)
\(522\) −2.59330e7 + 5.22906e6i −4.16558 + 0.839938i
\(523\) 5.54562e6 + 5.54562e6i 0.886535 + 0.886535i 0.994188 0.107654i \(-0.0343338\pi\)
−0.107654 + 0.994188i \(0.534334\pi\)
\(524\) −2.35216e6 + 5.76387e6i −0.374231 + 0.917034i
\(525\) −2.72611e6 + 1.25396e6i −0.431664 + 0.198557i
\(526\) 1.35807e6 + 902298.i 0.214022 + 0.142196i
\(527\) 3.91043e6i 0.613336i
\(528\) 7.09595e6 + 6.94876e6i 1.10771 + 1.08473i
\(529\) −6.43402e6 −0.999640
\(530\) −7.73221e6 + 168832.i −1.19568 + 0.0261074i
\(531\) −9.77737e6 9.77737e6i −1.50482 1.50482i
\(532\) −133922. + 328168.i −0.0205150 + 0.0502710i
\(533\) 6.37842e6 + 6.37842e6i 0.972512 + 0.972512i
\(534\) 2.69018e6 + 1.33417e7i 0.408251 + 2.02468i
\(535\) 5.88530e6 4.09812e6i 0.888964 0.619014i
\(536\) −5.95198e6 8.75796e6i −0.894848 1.31671i
\(537\) −4.70746e6 −0.704452
\(538\) −585981. 2.90611e6i −0.0872826 0.432869i
\(539\) 3.63900e6 3.63900e6i 0.539523 0.539523i
\(540\) 1.77965e7 + 1.12718e7i 2.62634 + 1.66345i
\(541\) 4.79861e6 + 4.79861e6i 0.704891 + 0.704891i 0.965456 0.260565i \(-0.0839089\pi\)
−0.260565 + 0.965456i \(0.583909\pi\)
\(542\) −2.86426e6 1.90300e6i −0.418808 0.278254i
\(543\) 1.58460e6i 0.230632i
\(544\) 1.41693e6 + 6.66580e6i 0.205282 + 0.965728i
\(545\) 2.16652e6 1.50862e6i 0.312443 0.217564i
\(546\) −2.76764e6 + 4.16565e6i −0.397308 + 0.597999i
\(547\) 3.85519e6 3.85519e6i 0.550907 0.550907i −0.375796 0.926702i \(-0.622631\pi\)
0.926702 + 0.375796i \(0.122631\pi\)
\(548\) −2.02112e6 4.80801e6i −0.287502 0.683934i
\(549\) 1.27674e7 1.27674e7i 1.80788 1.80788i
\(550\) −5.70227e6 892791.i −0.803788 0.125847i
\(551\) 2.50614e6i 0.351662i
\(552\) −145543. 214158.i −0.0203304 0.0299148i
\(553\) −2.79351e6 −0.388452
\(554\) −225648. 1.11908e6i −0.0312361 0.154912i
\(555\) 741542. 4.14236e6i 0.102189 0.570841i
\(556\) 5.91711e6 + 2.41470e6i 0.811751 + 0.331266i
\(557\) −3.62819e6 + 3.62819e6i −0.495510 + 0.495510i −0.910037 0.414527i \(-0.863947\pi\)
0.414527 + 0.910037i \(0.363947\pi\)
\(558\) 6.65348e6 1.00143e7i 0.904614 1.36156i
\(559\) −3.33505e6 −0.451412
\(560\) −1.07322e6 1.50732e6i −0.144617 0.203112i
\(561\) 1.14103e7 1.53069
\(562\) 5.48382e6 8.25384e6i 0.732390 1.10234i
\(563\) 2.24066e6 2.24066e6i 0.297924 0.297924i −0.542276 0.840200i \(-0.682437\pi\)
0.840200 + 0.542276i \(0.182437\pi\)
\(564\) 7.26837e6 1.78108e7i 0.962142 2.35768i
\(565\) −3.87834e6 694280.i −0.511123 0.0914984i
\(566\) −1.61371e6 8.00302e6i −0.211731 1.05006i
\(567\) 6.28510e6 0.821021
\(568\) −3.43821e6 655853.i −0.447159 0.0852974i
\(569\) 5.97280e6i 0.773388i −0.922208 0.386694i \(-0.873617\pi\)
0.922208 0.386694i \(-0.126383\pi\)
\(570\) −2.22586e6 + 2.32524e6i −0.286953 + 0.299764i
\(571\) 5.35890e6 5.35890e6i 0.687837 0.687837i −0.273917 0.961753i \(-0.588319\pi\)
0.961753 + 0.273917i \(0.0883193\pi\)
\(572\) −8.86809e6 + 3.72784e6i −1.13329 + 0.476395i
\(573\) −474089. + 474089.i −0.0603217 + 0.0603217i
\(574\) −991363. + 1.49213e6i −0.125589 + 0.189028i
\(575\) 141133. + 52202.6i 0.0178016 + 0.00658450i
\(576\) −7.71300e6 + 1.94815e7i −0.968651 + 2.44662i
\(577\) 4.14173e6i 0.517895i 0.965891 + 0.258948i \(0.0833757\pi\)
−0.965891 + 0.258948i \(0.916624\pi\)
\(578\) −168778. 112135.i −0.0210134 0.0139612i
\(579\) −1.77959e7 1.77959e7i −2.20609 2.20609i
\(580\) 1.10528e7 + 7.00051e6i 1.36427 + 0.864091i
\(581\) 461583. 461583.i 0.0567295 0.0567295i
\(582\) 2.92605e6 + 1.45114e7i 0.358075 + 1.77583i
\(583\) −7.98526e6 −0.973011
\(584\) 1.34844e6 7.06900e6i 0.163606 0.857681i
\(585\) −2.70087e7 + 1.88070e7i −3.26298 + 2.27212i
\(586\) 2.48979e6 + 1.23479e7i 0.299515 + 1.48542i
\(587\) −2.42607e6 2.42607e6i −0.290608 0.290608i 0.546712 0.837320i \(-0.315879\pi\)
−0.837320 + 0.546712i \(0.815879\pi\)
\(588\) 1.38725e7 + 5.66121e6i 1.65467 + 0.675252i
\(589\) 805381. + 805381.i 0.0956562 + 0.0956562i
\(590\) 149277. + 6.83663e6i 0.0176548 + 0.808559i
\(591\) 6.79615e6 0.800376
\(592\) 2.59483e6 27194.3i 0.304302 0.00318914i
\(593\) 1.36433e7i 1.59325i −0.604474 0.796625i \(-0.706617\pi\)
0.604474 0.796625i \(-0.293383\pi\)
\(594\) 1.81161e7 + 1.20363e7i 2.10668 + 1.39967i
\(595\) −2.09257e6 374600.i −0.242319 0.0433786i
\(596\) 1.62214e6 + 661976.i 0.187057 + 0.0763355i
\(597\) 2.23737e7 + 2.23737e7i 2.56923 + 2.56923i
\(598\) 245854. 49573.3i 0.0281141 0.00566885i
\(599\) 1.42092e7i 1.61809i 0.587748 + 0.809044i \(0.300015\pi\)
−0.587748 + 0.809044i \(0.699985\pi\)
\(600\) −4.03732e6 1.63119e7i −0.457842 1.84980i
\(601\) 2.15726e6i 0.243622i −0.992553 0.121811i \(-0.961130\pi\)
0.992553 0.121811i \(-0.0388702\pi\)
\(602\) −130916. 649265.i −0.0147232 0.0730181i
\(603\) −2.64490e7 2.64490e7i −2.96221 2.96221i
\(604\) −5.50743e6 + 2.31514e6i −0.614267 + 0.258217i
\(605\) 2.99618e6 + 536360.i 0.332798 + 0.0595756i
\(606\) 3.87686e6 5.83517e6i 0.428843 0.645464i
\(607\) 1.21033e7i 1.33332i −0.745363 0.666659i \(-0.767724\pi\)
0.745363 0.666659i \(-0.232276\pi\)
\(608\) −1.66469e6 1.08104e6i −0.182631 0.118600i
\(609\) 7.02279e6 0.767303
\(610\) −8.92732e6 + 194927.i −0.971397 + 0.0212103i
\(611\) 1.31753e7 + 1.31753e7i 1.42777 + 1.42777i
\(612\) 9.32843e6 + 2.21912e7i 1.00677 + 2.39498i
\(613\) −2.11836e6 2.11836e6i −0.227693 0.227693i 0.584036 0.811728i \(-0.301473\pi\)
−0.811728 + 0.584036i \(0.801473\pi\)
\(614\) 4.29146e6 865319.i 0.459393 0.0926308i
\(615\) −1.33510e7 + 9.29675e6i −1.42340 + 0.991159i
\(616\) −1.07385e6 1.58010e6i −0.114022 0.167777i
\(617\) 9.90588e6 1.04756 0.523782 0.851853i \(-0.324521\pi\)
0.523782 + 0.851853i \(0.324521\pi\)
\(618\) −6.98690e6 + 1.40882e6i −0.735890 + 0.148383i
\(619\) 9.72084e6 9.72084e6i 1.01971 1.01971i 0.0199096 0.999802i \(-0.493662\pi\)
0.999802 0.0199096i \(-0.00633785\pi\)
\(620\) −5.80166e6 + 1.30224e6i −0.606140 + 0.136055i
\(621\) −400970. 400970.i −0.0417238 0.0417238i
\(622\) 3.11775e6 4.69261e6i 0.323121 0.486338i
\(623\) 2.61806e6i 0.270246i
\(624\) −2.00106e7 1.95956e7i −2.05731 2.01463i
\(625\) 7.41508e6 + 6.35484e6i 0.759305 + 0.650735i
\(626\) 2.49444e6 + 1.65729e6i 0.254411 + 0.169030i
\(627\) −2.35002e6 + 2.35002e6i −0.238728 + 0.238728i
\(628\) 3.57899e6 + 1.46054e6i 0.362128 + 0.147780i
\(629\) 2.10810e6 2.10810e6i 0.212454 0.212454i
\(630\) −4.72155e6 4.51977e6i −0.473951 0.453696i
\(631\) 1.78843e7i 1.78813i 0.447938 + 0.894065i \(0.352158\pi\)
−0.447938 + 0.894065i \(0.647842\pi\)
\(632\) 2.93128e6 1.53668e7i 0.291921 1.53035i
\(633\) 3.48580e7 3.45775
\(634\) −1.17238e7 + 2.36396e6i −1.15837 + 0.233570i
\(635\) 7.86889e6 + 1.40864e6i 0.774425 + 0.138633i
\(636\) −9.00928e6 2.14320e7i −0.883176 2.10097i
\(637\) −1.02620e7 + 1.02620e7i −1.00204 + 1.00204i
\(638\) 1.12513e7 + 7.47528e6i 1.09433 + 0.727069i
\(639\) −1.23640e7 −1.19787
\(640\) 9.41776e6 4.32203e6i 0.908861 0.417098i
\(641\) −1.89860e7 −1.82511 −0.912553 0.408959i \(-0.865892\pi\)
−0.912553 + 0.408959i \(0.865892\pi\)
\(642\) 1.79559e7 + 1.19298e7i 1.71937 + 1.14235i
\(643\) 1.29713e6 1.29713e6i 0.123724 0.123724i −0.642533 0.766258i \(-0.722117\pi\)
0.766258 + 0.642533i \(0.222117\pi\)
\(644\) 19301.8 + 45916.6i 0.00183393 + 0.00436270i
\(645\) 1.05992e6 5.92087e6i 0.100317 0.560384i
\(646\) −2.23542e6 + 450745.i −0.210755 + 0.0424962i
\(647\) 2.03269e7 1.90902 0.954510 0.298177i \(-0.0963787\pi\)
0.954510 + 0.298177i \(0.0963787\pi\)
\(648\) −6.59507e6 + 3.45737e7i −0.616995 + 3.23450i
\(649\) 7.06036e6i 0.657984i
\(650\) 1.60805e7 + 2.51768e6i 1.49285 + 0.233731i
\(651\) −2.25687e6 + 2.25687e6i −0.208715 + 0.208715i
\(652\) −1.73459e7 7.07864e6i −1.59800 0.652125i
\(653\) −3.53649e6 + 3.53649e6i −0.324556 + 0.324556i −0.850512 0.525956i \(-0.823708\pi\)
0.525956 + 0.850512i \(0.323708\pi\)
\(654\) 6.61000e6 + 4.39166e6i 0.604307 + 0.401499i
\(655\) 8.92468e6 6.21454e6i 0.812810 0.565986i
\(656\) −7.16778e6 7.01910e6i −0.650317 0.636827i
\(657\) 2.54206e7i 2.29759i
\(658\) −2.04776e6 + 3.08214e6i −0.184380 + 0.277516i
\(659\) 4.69975e6 + 4.69975e6i 0.421562 + 0.421562i 0.885741 0.464180i \(-0.153651\pi\)
−0.464180 + 0.885741i \(0.653651\pi\)
\(660\) −3.79982e6 1.69287e7i −0.339549 1.51274i
\(661\) −1.25667e7 + 1.25667e7i −1.11871 + 1.11871i −0.126781 + 0.991931i \(0.540465\pi\)
−0.991931 + 0.126781i \(0.959535\pi\)
\(662\) 1.01585e7 2.04833e6i 0.900917 0.181659i
\(663\) −3.21770e7 −2.84290
\(664\) 2.05477e6 + 3.02346e6i 0.180860 + 0.266124i
\(665\) 508131. 353828.i 0.0445576 0.0310269i
\(666\) 8.98556e6 1.81183e6i 0.784982 0.158282i
\(667\) −249028. 249028.i −0.0216737 0.0216737i
\(668\) 1.06603e6 + 2.53597e6i 0.0924336 + 0.219888i
\(669\) 2.58829e6 + 2.58829e6i 0.223587 + 0.223587i
\(670\) 403811. + 1.84939e7i 0.0347529 + 1.59163i
\(671\) −9.21948e6 −0.790497
\(672\) 3.02934e6 4.66487e6i 0.258776 0.398489i
\(673\) 1.57984e7i 1.34455i 0.740302 + 0.672274i \(0.234682\pi\)
−0.740302 + 0.672274i \(0.765318\pi\)
\(674\) −5.12560e6 + 7.71468e6i −0.434605 + 0.654136i
\(675\) −1.53786e7 3.34332e7i −1.29914 2.82435i
\(676\) 1.40551e7 5.90829e6i 1.18295 0.497273i
\(677\) 2.49220e6 + 2.49220e6i 0.208983 + 0.208983i 0.803835 0.594852i \(-0.202789\pi\)
−0.594852 + 0.803835i \(0.702789\pi\)
\(678\) −2.34101e6 1.16100e7i −0.195582 0.969968i
\(679\) 2.84761e6i 0.237031i
\(680\) 4.25641e6 1.11179e7i 0.352997 0.922044i
\(681\) 2.38353e7i 1.96949i
\(682\) −6.01802e6 + 1.21346e6i −0.495442 + 0.0998997i
\(683\) 2.47570e6 + 2.47570e6i 0.203070 + 0.203070i 0.801314 0.598244i \(-0.204135\pi\)
−0.598244 + 0.801314i \(0.704135\pi\)
\(684\) −6.49169e6 2.64918e6i −0.530539 0.216507i
\(685\) −1.60551e6 + 8.96861e6i −0.130733 + 0.730296i
\(686\) −4.96040e6 3.29567e6i −0.402445 0.267382i
\(687\) 1.66872e7i 1.34893i
\(688\) 3.70891e6 38870.0i 0.298727 0.00313072i
\(689\) 2.25185e7 1.80714
\(690\) 9874.37 + 452230.i 0.000789563 + 0.0361607i
\(691\) −448193. 448193.i −0.0357084 0.0357084i 0.689027 0.724736i \(-0.258038\pi\)
−0.724736 + 0.689027i \(0.758038\pi\)
\(692\) 6.29545e6 + 2.56910e6i 0.499760 + 0.203946i
\(693\) −4.77188e6 4.77188e6i −0.377447 0.377447i
\(694\) −2.06477e6 1.02400e7i −0.162732 0.807054i
\(695\) −6.37977e6 9.16196e6i −0.501006 0.719493i
\(696\) −7.36914e6 + 3.86316e7i −0.576626 + 3.02287i
\(697\) −1.15258e7 −0.898643
\(698\) −3.55182e6 1.76149e7i −0.275938 1.36849i
\(699\) −3.23840e7 + 3.23840e7i −2.50690 + 2.50690i
\(700\) 141092. + 3.22936e6i 0.0108832 + 0.249099i
\(701\) 1.06992e6 + 1.06992e6i 0.0822350 + 0.0822350i 0.747028 0.664793i \(-0.231480\pi\)
−0.664793 + 0.747028i \(0.731480\pi\)
\(702\) −5.10876e7 3.39424e7i −3.91267 2.59956i
\(703\) 868356.i 0.0662688i
\(704\) 9.81875e6 4.24909e6i 0.746663 0.323120i
\(705\) −2.75779e7 + 1.92034e7i −2.08972 + 1.45514i
\(706\) 6.20303e6 9.33635e6i 0.468373 0.704961i
\(707\) −952906. + 952906.i −0.0716971 + 0.0716971i
\(708\) −1.89496e7 + 7.96578e6i −1.42075 + 0.597235i
\(709\) 7.74192e6 7.74192e6i 0.578406 0.578406i −0.356058 0.934464i \(-0.615879\pi\)
0.934464 + 0.356058i \(0.115879\pi\)
\(710\) 4.41704e6 + 4.22827e6i 0.328840 + 0.314787i
\(711\) 5.52600e7i 4.09956i
\(712\) 1.44017e7 + 2.74718e6i 1.06467 + 0.203089i
\(713\) 160057. 0.0117910
\(714\) −1.26310e6 6.26419e6i −0.0927237 0.459854i
\(715\) 1.65421e7 + 2.96127e6i 1.21011 + 0.216627i
\(716\) −1.91603e6 + 4.69514e6i −0.139675 + 0.342267i
\(717\) 1.68999e7 1.68999e7i 1.22768 1.22768i
\(718\) 8.10935e6 1.22056e7i 0.587050 0.883585i
\(719\) 9.82491e6 0.708771 0.354386 0.935099i \(-0.384690\pi\)
0.354386 + 0.935099i \(0.384690\pi\)
\(720\) 2.98172e7 2.12301e7i 2.14356 1.52623i
\(721\) 1.37105e6 0.0982237
\(722\) −7.38373e6 + 1.11135e7i −0.527148 + 0.793425i
\(723\) 7.73688e6 7.73688e6i 0.550453 0.550453i
\(724\) 1.58045e6 + 644963.i 0.112056 + 0.0457287i
\(725\) −9.55107e6 2.07641e7i −0.674849 1.46713i
\(726\) 1.80853e6 + 8.96920e6i 0.127345 + 0.631557i
\(727\) 2.32735e7 1.63315 0.816573 0.577242i \(-0.195871\pi\)
0.816573 + 0.577242i \(0.195871\pi\)
\(728\) 3.02826e6 + 4.45589e6i 0.211770 + 0.311606i
\(729\) 3.93231e7i 2.74050i
\(730\) −8.69336e6 + 9.08147e6i −0.603782 + 0.630738i
\(731\) 3.01321e6 3.01321e6i 0.208562 0.208562i
\(732\) −1.04018e7 2.47446e7i −0.717513 1.70688i
\(733\) 1.79665e6 1.79665e6i 0.123510 0.123510i −0.642650 0.766160i \(-0.722165\pi\)
0.766160 + 0.642650i \(0.222165\pi\)
\(734\) −5.41858e6 + 8.15565e6i −0.371232 + 0.558751i
\(735\) −1.49572e7 2.14800e7i −1.02125 1.46661i
\(736\) −272836. + 57995.9i −0.0185655 + 0.00394642i
\(737\) 1.90991e7i 1.29522i
\(738\) −2.95166e7 1.96107e7i −1.99492 1.32542i
\(739\) 1.19099e7 + 1.19099e7i 0.802228 + 0.802228i 0.983443 0.181215i \(-0.0580031\pi\)
−0.181215 + 0.983443i \(0.558003\pi\)
\(740\) −3.82969e6 2.42562e6i −0.257089 0.162833i
\(741\) 6.62708e6 6.62708e6i 0.443381 0.443381i
\(742\) 883955. + 4.38388e6i 0.0589414 + 0.292314i
\(743\) 1.11616e7 0.741742 0.370871 0.928684i \(-0.379059\pi\)
0.370871 + 0.928684i \(0.379059\pi\)
\(744\) −1.00466e7 1.47830e7i −0.665408 0.979105i
\(745\) −1.74897e6 2.51170e6i −0.115450 0.165797i
\(746\) −639767. 3.17286e6i −0.0420896 0.208739i
\(747\) 9.13083e6 + 9.13083e6i 0.598700 + 0.598700i
\(748\) 4.64419e6 1.13804e7i 0.303498 0.743708i
\(749\) −2.93228e6 2.93228e6i −0.190985 0.190985i
\(750\) −9.58032e6 + 2.77482e7i −0.621909 + 1.80128i
\(751\) −2.48590e7 −1.60836 −0.804179 0.594387i \(-0.797395\pi\)
−0.804179 + 0.594387i \(0.797395\pi\)
\(752\) −1.48058e7 1.44987e7i −0.954744 0.934940i
\(753\) 2.96521e7i 1.90576i
\(754\) −3.17286e7 2.10804e7i −2.03247 1.35036i
\(755\) 1.02733e7 + 1.83906e6i 0.655906 + 0.117417i
\(756\) 4.60245e6 1.12781e7i 0.292877 0.717680i
\(757\) −3.41514e6 3.41514e6i −0.216605 0.216605i 0.590461 0.807066i \(-0.298946\pi\)
−0.807066 + 0.590461i \(0.798946\pi\)
\(758\) −560893. + 113097.i −0.0354574 + 0.00714955i
\(759\) 467030.i 0.0294266i
\(760\) 1.41318e6 + 3.16645e6i 0.0887489 + 0.198856i
\(761\) 2.60605e7i