Properties

Label 38.6.e.b.5.2
Level $38$
Weight $6$
Character 38.5
Analytic conductor $6.095$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 38 = 2 \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 38.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.09458515289\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 5.2
Character \(\chi\) \(=\) 38.5
Dual form 38.6.e.b.23.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.75877 + 1.36808i) q^{2} +(-1.36581 + 7.74591i) q^{3} +(12.2567 - 10.2846i) q^{4} +(-39.1860 - 32.8809i) q^{5} +(-5.46326 - 30.9837i) q^{6} +(-9.18601 - 15.9106i) q^{7} +(-32.0000 + 55.4256i) q^{8} +(170.212 + 61.9519i) q^{9} +O(q^{10})\) \(q+(-3.75877 + 1.36808i) q^{2} +(-1.36581 + 7.74591i) q^{3} +(12.2567 - 10.2846i) q^{4} +(-39.1860 - 32.8809i) q^{5} +(-5.46326 - 30.9837i) q^{6} +(-9.18601 - 15.9106i) q^{7} +(-32.0000 + 55.4256i) q^{8} +(170.212 + 61.9519i) q^{9} +(192.275 + 69.9823i) q^{10} +(375.072 - 649.643i) q^{11} +(62.9233 + 108.986i) q^{12} +(-90.9619 - 515.871i) q^{13} +(56.2951 + 47.2372i) q^{14} +(308.214 - 258.622i) q^{15} +(44.4539 - 252.111i) q^{16} +(1764.94 - 642.386i) q^{17} -724.541 q^{18} +(-1488.16 + 511.338i) q^{19} -818.458 q^{20} +(135.789 - 49.4231i) q^{21} +(-521.044 + 2954.99i) q^{22} +(-374.217 + 314.005i) q^{23} +(-385.616 - 323.570i) q^{24} +(-88.2663 - 500.583i) q^{25} +(1047.66 + 1814.60i) q^{26} +(-1668.00 + 2889.06i) q^{27} +(-276.225 - 100.538i) q^{28} +(-1228.35 - 447.083i) q^{29} +(-804.688 + 1393.76i) q^{30} +(-3275.09 - 5672.62i) q^{31} +(177.816 + 1008.44i) q^{32} +(4519.80 + 3792.56i) q^{33} +(-5755.17 + 4829.17i) q^{34} +(-163.194 + 925.518i) q^{35} +(2723.38 - 991.231i) q^{36} -8297.48 q^{37} +(4894.12 - 3957.93i) q^{38} +4120.13 q^{39} +(3076.40 - 1119.72i) q^{40} +(1497.47 - 8492.59i) q^{41} +(-442.784 + 371.540i) q^{42} +(10710.7 + 8987.33i) q^{43} +(-2084.18 - 11819.9i) q^{44} +(-4632.87 - 8024.36i) q^{45} +(977.010 - 1692.23i) q^{46} +(15515.2 + 5647.07i) q^{47} +(1892.11 + 688.673i) q^{48} +(8234.73 - 14263.0i) q^{49} +(1016.61 + 1760.82i) q^{50} +(2565.29 + 14548.5i) q^{51} +(-6420.42 - 5387.37i) q^{52} +(-6629.99 + 5563.22i) q^{53} +(2317.16 - 13141.3i) q^{54} +(-36058.4 + 13124.2i) q^{55} +1175.81 q^{56} +(-1928.22 - 12225.6i) q^{57} +5228.73 q^{58} +(15260.6 - 5554.40i) q^{59} +(1117.86 - 6339.71i) q^{60} +(683.426 - 573.462i) q^{61} +(20070.9 + 16841.5i) q^{62} +(-577.870 - 3277.26i) q^{63} +(-2048.00 - 3547.24i) q^{64} +(-13397.9 + 23205.8i) q^{65} +(-22177.4 - 8071.92i) q^{66} +(-16715.7 - 6084.02i) q^{67} +(15025.7 - 26025.3i) q^{68} +(-1921.15 - 3327.52i) q^{69} +(-652.775 - 3702.07i) q^{70} +(36445.9 + 30581.7i) q^{71} +(-8880.49 + 7451.62i) q^{72} +(-3673.83 + 20835.3i) q^{73} +(31188.3 - 11351.6i) q^{74} +3998.03 q^{75} +(-12981.1 + 21572.5i) q^{76} -13781.6 q^{77} +(-15486.6 + 5636.66i) q^{78} +(-14794.0 + 83900.8i) q^{79} +(-10031.6 + 8417.52i) q^{80} +(13617.9 + 11426.8i) q^{81} +(5989.89 + 33970.4i) q^{82} +(-22362.8 - 38733.5i) q^{83} +(1156.03 - 2002.30i) q^{84} +(-90283.2 - 32860.4i) q^{85} +(-52554.4 - 19128.2i) q^{86} +(5140.76 - 8904.07i) q^{87} +(24004.6 + 41577.1i) q^{88} +(-15572.0 - 88313.0i) q^{89} +(28391.9 + 23823.6i) q^{90} +(-7372.25 + 6186.05i) q^{91} +(-1357.25 + 7697.34i) q^{92} +(48412.8 - 17620.8i) q^{93} -66043.7 q^{94} +(75128.4 + 28895.0i) q^{95} -8054.18 q^{96} +(55159.8 - 20076.5i) q^{97} +(-11439.6 + 64877.0i) q^{98} +(104088. - 87340.3i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} + O(q^{10}) \) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} - 126q^{11} - 2610q^{13} - 864q^{14} - 5160q^{15} + 1902q^{17} + 17016q^{18} - 2400q^{19} + 3456q^{20} - 6426q^{21} + 216q^{22} - 3306q^{23} + 960q^{24} - 18060q^{25} + 456q^{26} + 13017q^{27} + 6048q^{28} + 5988q^{29} - 6840q^{31} + 51867q^{33} - 10752q^{34} + 24408q^{35} - 5520q^{36} - 8556q^{37} + 2772q^{38} + 9912q^{39} - 40527q^{41} + 27432q^{42} + 3678q^{43} + 864q^{44} - 31770q^{45} - 15744q^{46} - 133740q^{47} - 7680q^{48} - 63777q^{49} - 107580q^{50} + 45657q^{51} + 5760q^{52} - 64626q^{53} + 1476q^{54} + 142056q^{55} + 10752q^{56} + 232824q^{57} + 117264q^{58} + 169041q^{59} - 56640q^{60} + 61698q^{61} - 101616q^{62} - 188064q^{63} - 61440q^{64} - 80646q^{65} - 173772q^{66} - 72129q^{67} - 65904q^{68} - 124224q^{69} + 97632q^{70} + 417828q^{71} + 44160q^{72} + 239082q^{73} - 116112q^{74} - 174960q^{75} + 6912q^{76} + 242436q^{77} + 336624q^{78} - 145740q^{79} + 14781q^{81} - 162108q^{82} - 201630q^{83} - 54528q^{84} - 46512q^{85} - 75720q^{86} - 376512q^{87} - 8064q^{88} + 416928q^{89} + 560640q^{90} - 380316q^{91} + 269376q^{92} - 205146q^{93} + 5616q^{94} + 708168q^{95} + 858363q^{97} + 308328q^{98} - 1068531q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.75877 + 1.36808i −0.664463 + 0.241845i
\(3\) −1.36581 + 7.74591i −0.0876170 + 0.496901i 0.909144 + 0.416482i \(0.136737\pi\)
−0.996761 + 0.0804191i \(0.974374\pi\)
\(4\) 12.2567 10.2846i 0.383022 0.321394i
\(5\) −39.1860 32.8809i −0.700980 0.588192i 0.221072 0.975257i \(-0.429044\pi\)
−0.922052 + 0.387066i \(0.873489\pi\)
\(6\) −5.46326 30.9837i −0.0619546 0.351362i
\(7\) −9.18601 15.9106i −0.0708568 0.122728i 0.828420 0.560107i \(-0.189240\pi\)
−0.899277 + 0.437379i \(0.855907\pi\)
\(8\) −32.0000 + 55.4256i −0.176777 + 0.306186i
\(9\) 170.212 + 61.9519i 0.700459 + 0.254946i
\(10\) 192.275 + 69.9823i 0.608026 + 0.221303i
\(11\) 375.072 649.643i 0.934614 1.61880i 0.159294 0.987231i \(-0.449078\pi\)
0.775321 0.631568i \(-0.217588\pi\)
\(12\) 62.9233 + 108.986i 0.126142 + 0.218484i
\(13\) −90.9619 515.871i −0.149280 0.846608i −0.963831 0.266516i \(-0.914128\pi\)
0.814551 0.580092i \(-0.196984\pi\)
\(14\) 56.2951 + 47.2372i 0.0767628 + 0.0644116i
\(15\) 308.214 258.622i 0.353691 0.296782i
\(16\) 44.4539 252.111i 0.0434120 0.246202i
\(17\) 1764.94 642.386i 1.48118 0.539106i 0.530070 0.847954i \(-0.322166\pi\)
0.951111 + 0.308848i \(0.0999436\pi\)
\(18\) −724.541 −0.527087
\(19\) −1488.16 + 511.338i −0.945729 + 0.324955i
\(20\) −818.458 −0.457532
\(21\) 135.789 49.4231i 0.0671917 0.0244558i
\(22\) −521.044 + 2954.99i −0.229518 + 1.30166i
\(23\) −374.217 + 314.005i −0.147504 + 0.123770i −0.713554 0.700601i \(-0.752915\pi\)
0.566050 + 0.824371i \(0.308471\pi\)
\(24\) −385.616 323.570i −0.136655 0.114668i
\(25\) −88.2663 500.583i −0.0282452 0.160187i
\(26\) 1047.66 + 1814.60i 0.303939 + 0.526437i
\(27\) −1668.00 + 2889.06i −0.440338 + 0.762688i
\(28\) −276.225 100.538i −0.0665836 0.0242345i
\(29\) −1228.35 447.083i −0.271223 0.0987173i 0.202828 0.979214i \(-0.434987\pi\)
−0.474052 + 0.880497i \(0.657209\pi\)
\(30\) −804.688 + 1393.76i −0.163239 + 0.282739i
\(31\) −3275.09 5672.62i −0.612095 1.06018i −0.990887 0.134698i \(-0.956994\pi\)
0.378792 0.925482i \(-0.376340\pi\)
\(32\) 177.816 + 1008.44i 0.0306970 + 0.174091i
\(33\) 4519.80 + 3792.56i 0.722494 + 0.606245i
\(34\) −5755.17 + 4829.17i −0.853810 + 0.716432i
\(35\) −163.194 + 925.518i −0.0225182 + 0.127707i
\(36\) 2723.38 991.231i 0.350230 0.127473i
\(37\) −8297.48 −0.996419 −0.498209 0.867057i \(-0.666009\pi\)
−0.498209 + 0.867057i \(0.666009\pi\)
\(38\) 4894.12 3957.93i 0.549813 0.444641i
\(39\) 4120.13 0.433759
\(40\) 3076.40 1119.72i 0.304013 0.110652i
\(41\) 1497.47 8492.59i 0.139123 0.789007i −0.832776 0.553610i \(-0.813250\pi\)
0.971899 0.235397i \(-0.0756390\pi\)
\(42\) −442.784 + 371.540i −0.0387319 + 0.0324999i
\(43\) 10710.7 + 8987.33i 0.883377 + 0.741241i 0.966871 0.255267i \(-0.0821633\pi\)
−0.0834935 + 0.996508i \(0.526608\pi\)
\(44\) −2084.18 11819.9i −0.162294 0.920415i
\(45\) −4632.87 8024.36i −0.341050 0.590716i
\(46\) 977.010 1692.23i 0.0680776 0.117914i
\(47\) 15515.2 + 5647.07i 1.02450 + 0.372888i 0.798985 0.601351i \(-0.205371\pi\)
0.225517 + 0.974239i \(0.427593\pi\)
\(48\) 1892.11 + 688.673i 0.118534 + 0.0431429i
\(49\) 8234.73 14263.0i 0.489959 0.848633i
\(50\) 1016.61 + 1760.82i 0.0575082 + 0.0996071i
\(51\) 2565.29 + 14548.5i 0.138105 + 0.783235i
\(52\) −6420.42 5387.37i −0.329272 0.276292i
\(53\) −6629.99 + 5563.22i −0.324207 + 0.272042i −0.790335 0.612675i \(-0.790093\pi\)
0.466127 + 0.884718i \(0.345649\pi\)
\(54\) 2317.16 13141.3i 0.108136 0.613272i
\(55\) −36058.4 + 13124.2i −1.60731 + 0.585013i
\(56\) 1175.81 0.0501033
\(57\) −1928.22 12225.6i −0.0786086 0.498405i
\(58\) 5228.73 0.204092
\(59\) 15260.6 5554.40i 0.570743 0.207734i −0.0404956 0.999180i \(-0.512894\pi\)
0.611239 + 0.791446i \(0.290671\pi\)
\(60\) 1117.86 6339.71i 0.0400876 0.227348i
\(61\) 683.426 573.462i 0.0235162 0.0197324i −0.630954 0.775820i \(-0.717336\pi\)
0.654470 + 0.756088i \(0.272892\pi\)
\(62\) 20070.9 + 16841.5i 0.663113 + 0.556418i
\(63\) −577.870 3277.26i −0.0183434 0.104030i
\(64\) −2048.00 3547.24i −0.0625000 0.108253i
\(65\) −13397.9 + 23205.8i −0.393326 + 0.681260i
\(66\) −22177.4 8071.92i −0.626688 0.228096i
\(67\) −16715.7 6084.02i −0.454923 0.165579i 0.104387 0.994537i \(-0.466712\pi\)
−0.559311 + 0.828958i \(0.688934\pi\)
\(68\) 15025.7 26025.3i 0.394060 0.682532i
\(69\) −1921.15 3327.52i −0.0485778 0.0841392i
\(70\) −652.775 3702.07i −0.0159228 0.0903025i
\(71\) 36445.9 + 30581.7i 0.858030 + 0.719973i 0.961543 0.274656i \(-0.0885638\pi\)
−0.103513 + 0.994628i \(0.533008\pi\)
\(72\) −8880.49 + 7451.62i −0.201886 + 0.169402i
\(73\) −3673.83 + 20835.3i −0.0806886 + 0.457608i 0.917515 + 0.397700i \(0.130192\pi\)
−0.998204 + 0.0599074i \(0.980919\pi\)
\(74\) 31188.3 11351.6i 0.662083 0.240979i
\(75\) 3998.03 0.0820716
\(76\) −12981.1 + 21572.5i −0.257797 + 0.428417i
\(77\) −13781.6 −0.264895
\(78\) −15486.6 + 5636.66i −0.288217 + 0.104902i
\(79\) −14794.0 + 83900.8i −0.266696 + 1.51251i 0.497464 + 0.867484i \(0.334264\pi\)
−0.764161 + 0.645026i \(0.776847\pi\)
\(80\) −10031.6 + 8417.52i −0.175245 + 0.147048i
\(81\) 13617.9 + 11426.8i 0.230620 + 0.193513i
\(82\) 5989.89 + 33970.4i 0.0983749 + 0.557912i
\(83\) −22362.8 38733.5i −0.356312 0.617150i 0.631030 0.775759i \(-0.282633\pi\)
−0.987342 + 0.158608i \(0.949299\pi\)
\(84\) 1156.03 2002.30i 0.0178760 0.0309621i
\(85\) −90283.2 32860.4i −1.35538 0.493316i
\(86\) −52554.4 19128.2i −0.766237 0.278887i
\(87\) 5140.76 8904.07i 0.0728165 0.126122i
\(88\) 24004.6 + 41577.1i 0.330436 + 0.572332i
\(89\) −15572.0 88313.0i −0.208386 1.18182i −0.892022 0.451993i \(-0.850713\pi\)
0.683636 0.729823i \(-0.260398\pi\)
\(90\) 28391.9 + 23823.6i 0.369477 + 0.310028i
\(91\) −7372.25 + 6186.05i −0.0933247 + 0.0783087i
\(92\) −1357.25 + 7697.34i −0.0167182 + 0.0948137i
\(93\) 48412.8 17620.8i 0.580434 0.211261i
\(94\) −66043.7 −0.770924
\(95\) 75128.4 + 28895.0i 0.854073 + 0.328483i
\(96\) −8054.18 −0.0891955
\(97\) 55159.8 20076.5i 0.595241 0.216650i −0.0267918 0.999641i \(-0.508529\pi\)
0.622033 + 0.782991i \(0.286307\pi\)
\(98\) −11439.6 + 64877.0i −0.120322 + 0.682379i
\(99\) 104088. 87340.3i 1.06737 0.895626i
\(100\) −6230.15 5227.72i −0.0623015 0.0522772i
\(101\) −27572.9 156374.i −0.268955 1.52532i −0.757532 0.652797i \(-0.773595\pi\)
0.488578 0.872520i \(-0.337516\pi\)
\(102\) −29545.8 51174.8i −0.281187 0.487030i
\(103\) −61427.5 + 106395.i −0.570518 + 0.988167i 0.425994 + 0.904726i \(0.359924\pi\)
−0.996513 + 0.0834409i \(0.973409\pi\)
\(104\) 31503.2 + 11466.2i 0.285609 + 0.103953i
\(105\) −6946.09 2528.17i −0.0614847 0.0223786i
\(106\) 17309.7 29981.2i 0.149632 0.259170i
\(107\) 31378.7 + 54349.4i 0.264957 + 0.458918i 0.967552 0.252671i \(-0.0813090\pi\)
−0.702596 + 0.711589i \(0.747976\pi\)
\(108\) 9268.64 + 52565.1i 0.0764639 + 0.433648i
\(109\) −4623.87 3879.88i −0.0372768 0.0312790i 0.623959 0.781457i \(-0.285523\pi\)
−0.661236 + 0.750178i \(0.729968\pi\)
\(110\) 117580. 98661.6i 0.926516 0.777439i
\(111\) 11332.8 64271.6i 0.0873032 0.495121i
\(112\) −4419.59 + 1608.60i −0.0332918 + 0.0121172i
\(113\) 267983. 1.97429 0.987147 0.159814i \(-0.0510895\pi\)
0.987147 + 0.159814i \(0.0510895\pi\)
\(114\) 23973.3 + 43315.2i 0.172769 + 0.312161i
\(115\) 24988.8 0.176198
\(116\) −19653.6 + 7153.33i −0.135612 + 0.0493586i
\(117\) 16476.4 93442.4i 0.111275 0.631073i
\(118\) −49762.1 + 41755.4i −0.328999 + 0.276063i
\(119\) −26433.5 22180.4i −0.171115 0.143582i
\(120\) 4471.45 + 25358.8i 0.0283462 + 0.160759i
\(121\) −200832. 347851.i −1.24701 2.15988i
\(122\) −1784.30 + 3090.50i −0.0108535 + 0.0187987i
\(123\) 63737.6 + 23198.6i 0.379868 + 0.138261i
\(124\) −98482.5 35844.7i −0.575181 0.209349i
\(125\) −92928.4 + 160957.i −0.531953 + 0.921370i
\(126\) 6655.64 + 11527.9i 0.0373477 + 0.0646881i
\(127\) 40540.2 + 229915.i 0.223037 + 1.26491i 0.866402 + 0.499347i \(0.166427\pi\)
−0.643365 + 0.765559i \(0.722462\pi\)
\(128\) 12550.9 + 10531.4i 0.0677094 + 0.0568149i
\(129\) −84243.9 + 70689.0i −0.445722 + 0.374005i
\(130\) 18612.1 105555.i 0.0965912 0.547796i
\(131\) −198060. + 72088.0i −1.00837 + 0.367016i −0.792806 0.609475i \(-0.791380\pi\)
−0.215562 + 0.976490i \(0.569158\pi\)
\(132\) 94402.9 0.471575
\(133\) 21806.0 + 18980.5i 0.106892 + 0.0930418i
\(134\) 71154.0 0.342324
\(135\) 160357. 58365.2i 0.757275 0.275626i
\(136\) −20873.5 + 118379.i −0.0967715 + 0.548818i
\(137\) −311356. + 261259.i −1.41728 + 1.18924i −0.464505 + 0.885571i \(0.653768\pi\)
−0.952777 + 0.303670i \(0.901788\pi\)
\(138\) 11773.5 + 9879.11i 0.0526267 + 0.0441591i
\(139\) 26275.7 + 149017.i 0.115350 + 0.654181i 0.986576 + 0.163300i \(0.0522139\pi\)
−0.871227 + 0.490881i \(0.836675\pi\)
\(140\) 7518.36 + 13022.2i 0.0324193 + 0.0561518i
\(141\) −64932.6 + 112467.i −0.275052 + 0.476404i
\(142\) −178830. 65088.8i −0.744251 0.270885i
\(143\) −369249. 134396.i −1.51001 0.549598i
\(144\) 23185.3 40158.2i 0.0931766 0.161387i
\(145\) 33433.6 + 57908.7i 0.132057 + 0.228730i
\(146\) −14695.3 83341.4i −0.0570555 0.323578i
\(147\) 99232.7 + 83266.1i 0.378758 + 0.317815i
\(148\) −101700. + 85336.3i −0.381651 + 0.320243i
\(149\) −2032.46 + 11526.6i −0.00749990 + 0.0425340i −0.988328 0.152341i \(-0.951319\pi\)
0.980828 + 0.194875i \(0.0624300\pi\)
\(150\) −15027.7 + 5469.63i −0.0545335 + 0.0198486i
\(151\) 3916.30 0.0139776 0.00698882 0.999976i \(-0.497775\pi\)
0.00698882 + 0.999976i \(0.497775\pi\)
\(152\) 19280.0 98845.2i 0.0676860 0.347014i
\(153\) 340211. 1.17495
\(154\) 51802.0 18854.4i 0.176013 0.0640635i
\(155\) −58183.5 + 329975.i −0.194523 + 1.10319i
\(156\) 50499.2 42373.9i 0.166140 0.139408i
\(157\) 155881. + 130800.i 0.504712 + 0.423504i 0.859264 0.511533i \(-0.170922\pi\)
−0.354552 + 0.935036i \(0.615367\pi\)
\(158\) −59175.9 335603.i −0.188583 1.06951i
\(159\) −34036.9 58953.6i −0.106772 0.184934i
\(160\) 26190.7 45363.6i 0.0808810 0.140090i
\(161\) 8433.57 + 3069.57i 0.0256417 + 0.00933282i
\(162\) −66819.3 24320.2i −0.200039 0.0728082i
\(163\) −31455.9 + 54483.2i −0.0927327 + 0.160618i −0.908660 0.417537i \(-0.862894\pi\)
0.815927 + 0.578154i \(0.196227\pi\)
\(164\) −68988.8 119492.i −0.200295 0.346920i
\(165\) −52409.7 297230.i −0.149866 0.849931i
\(166\) 137047. + 114996.i 0.386011 + 0.323901i
\(167\) 131396. 110255.i 0.364579 0.305918i −0.442034 0.896998i \(-0.645743\pi\)
0.806613 + 0.591080i \(0.201298\pi\)
\(168\) −1605.94 + 9107.71i −0.00438990 + 0.0248964i
\(169\) 91053.0 33140.6i 0.245232 0.0892572i
\(170\) 384309. 1.01990
\(171\) −284981. 5159.07i −0.745291 0.0134922i
\(172\) 223709. 0.576583
\(173\) 506034. 184181.i 1.28548 0.467875i 0.393237 0.919437i \(-0.371355\pi\)
0.892240 + 0.451562i \(0.149133\pi\)
\(174\) −7141.48 + 40501.3i −0.0178819 + 0.101414i
\(175\) −7153.78 + 6002.73i −0.0176580 + 0.0148168i
\(176\) −147109. 123439.i −0.357978 0.300379i
\(177\) 22180.8 + 125793.i 0.0532161 + 0.301804i
\(178\) 179351. + 310645.i 0.424281 + 0.734876i
\(179\) 84683.7 146676.i 0.197545 0.342159i −0.750187 0.661226i \(-0.770036\pi\)
0.947732 + 0.319067i \(0.103370\pi\)
\(180\) −139311. 50705.1i −0.320482 0.116646i
\(181\) −640634. 233172.i −1.45350 0.529029i −0.509930 0.860216i \(-0.670329\pi\)
−0.943565 + 0.331187i \(0.892551\pi\)
\(182\) 19247.6 33337.8i 0.0430722 0.0746033i
\(183\) 3508.56 + 6077.00i 0.00774464 + 0.0134141i
\(184\) −5428.99 30789.3i −0.0118216 0.0670434i
\(185\) 325145. + 272829.i 0.698469 + 0.586085i
\(186\) −157866. + 132465.i −0.334585 + 0.280750i
\(187\) 244658. 1.38752e6i 0.511629 2.90159i
\(188\) 248243. 90353.1i 0.512251 0.186444i
\(189\) 61289.0 0.124804
\(190\) −321921. 5827.80i −0.646942 0.0117117i
\(191\) −322297. −0.639254 −0.319627 0.947544i \(-0.603558\pi\)
−0.319627 + 0.947544i \(0.603558\pi\)
\(192\) 30273.8 11018.8i 0.0592671 0.0215715i
\(193\) −46858.0 + 265745.i −0.0905505 + 0.513537i 0.905470 + 0.424411i \(0.139519\pi\)
−0.996020 + 0.0891266i \(0.971592\pi\)
\(194\) −179867. + 150926.i −0.343120 + 0.287912i
\(195\) −161451. 135474.i −0.304057 0.255134i
\(196\) −45758.3 259508.i −0.0850804 0.482515i
\(197\) 82745.2 + 143319.i 0.151907 + 0.263110i 0.931928 0.362642i \(-0.118125\pi\)
−0.780022 + 0.625753i \(0.784792\pi\)
\(198\) −271755. + 470693.i −0.492623 + 0.853247i
\(199\) 625906. + 227811.i 1.12041 + 0.407795i 0.834801 0.550551i \(-0.185583\pi\)
0.285607 + 0.958347i \(0.407805\pi\)
\(200\) 30569.7 + 11126.4i 0.0540400 + 0.0196690i
\(201\) 69956.9 121169.i 0.122135 0.211544i
\(202\) 317572. + 550051.i 0.547601 + 0.948472i
\(203\) 4170.26 + 23650.7i 0.00710270 + 0.0402814i
\(204\) 181067. + 151933.i 0.304624 + 0.255610i
\(205\) −337924. + 283552.i −0.561610 + 0.471247i
\(206\) 85334.1 483954.i 0.140105 0.794577i
\(207\) −83149.2 + 30263.8i −0.134875 + 0.0490906i
\(208\) −134100. −0.214917
\(209\) −225981. + 1.15856e6i −0.357854 + 1.83465i
\(210\) 29567.5 0.0462665
\(211\) 781834. 284564.i 1.20895 0.440022i 0.342611 0.939477i \(-0.388689\pi\)
0.866339 + 0.499456i \(0.166467\pi\)
\(212\) −24046.3 + 136374.i −0.0367459 + 0.208396i
\(213\) −286662. + 240538.i −0.432933 + 0.363274i
\(214\) −192300. 161358.i −0.287041 0.240856i
\(215\) −124197. 704354.i −0.183237 1.03919i
\(216\) −106752. 184900.i −0.155683 0.269651i
\(217\) −60170.0 + 104217.i −0.0867422 + 0.150242i
\(218\) 22688.0 + 8257.77i 0.0323337 + 0.0117685i
\(219\) −156371. 56914.4i −0.220316 0.0801884i
\(220\) −306980. + 531706.i −0.427616 + 0.740653i
\(221\) −491931. 852049.i −0.677522 1.17350i
\(222\) 45331.3 + 257086.i 0.0617327 + 0.350104i
\(223\) −62790.9 52687.8i −0.0845541 0.0709493i 0.599531 0.800352i \(-0.295354\pi\)
−0.684085 + 0.729402i \(0.739798\pi\)
\(224\) 14411.5 12092.7i 0.0191907 0.0161029i
\(225\) 15988.2 90673.3i 0.0210544 0.119405i
\(226\) −1.00729e6 + 366623.i −1.31185 + 0.477473i
\(227\) 71388.9 0.0919530 0.0459765 0.998943i \(-0.485360\pi\)
0.0459765 + 0.998943i \(0.485360\pi\)
\(228\) −149369. 130014.i −0.190293 0.165636i
\(229\) 1.56620e6 1.97360 0.986800 0.161944i \(-0.0517763\pi\)
0.986800 + 0.161944i \(0.0517763\pi\)
\(230\) −93927.2 + 34186.7i −0.117077 + 0.0426126i
\(231\) 18823.1 106751.i 0.0232093 0.131627i
\(232\) 64087.1 53775.4i 0.0781719 0.0655940i
\(233\) 373934. + 313768.i 0.451238 + 0.378633i 0.839895 0.542749i \(-0.182617\pi\)
−0.388657 + 0.921382i \(0.627061\pi\)
\(234\) 65905.7 + 373770.i 0.0786834 + 0.446236i
\(235\) −422297. 731440.i −0.498825 0.863990i
\(236\) 129920. 225028.i 0.151843 0.263000i
\(237\) −629683. 229186.i −0.728200 0.265043i
\(238\) 129702. + 47207.7i 0.148424 + 0.0540220i
\(239\) −775816. + 1.34375e6i −0.878545 + 1.52168i −0.0256064 + 0.999672i \(0.508152\pi\)
−0.852938 + 0.522012i \(0.825182\pi\)
\(240\) −51500.1 89200.7i −0.0577138 0.0999632i
\(241\) −107135. 607590.i −0.118819 0.673858i −0.984788 0.173760i \(-0.944408\pi\)
0.865969 0.500098i \(-0.166703\pi\)
\(242\) 1.23077e6 + 1.03274e6i 1.35095 + 1.13358i
\(243\) −728102. + 610950.i −0.791000 + 0.663728i
\(244\) 2478.72 14057.5i 0.00266534 0.0151159i
\(245\) −791666. + 288143.i −0.842610 + 0.306685i
\(246\) −271313. −0.285846
\(247\) 399150. + 721188.i 0.416288 + 0.752153i
\(248\) 419211. 0.432817
\(249\) 330569. 120317.i 0.337881 0.122979i
\(250\) 129095. 732133.i 0.130635 0.740866i
\(251\) −378208. + 317354.i −0.378919 + 0.317951i −0.812278 0.583271i \(-0.801773\pi\)
0.433359 + 0.901221i \(0.357328\pi\)
\(252\) −40788.1 34225.3i −0.0404606 0.0339505i
\(253\) 63633.1 + 360881.i 0.0625003 + 0.354457i
\(254\) −466924. 808736.i −0.454111 0.786543i
\(255\) 377844. 654445.i 0.363883 0.630264i
\(256\) −61583.7 22414.6i −0.0587308 0.0213763i
\(257\) 1.03692e6 + 377407.i 0.979290 + 0.356433i 0.781564 0.623825i \(-0.214422\pi\)
0.197726 + 0.980257i \(0.436644\pi\)
\(258\) 219945. 380956.i 0.205715 0.356308i
\(259\) 76220.7 + 132018.i 0.0706031 + 0.122288i
\(260\) 74448.5 + 422218.i 0.0683003 + 0.387350i
\(261\) −181382. 152197.i −0.164813 0.138295i
\(262\) 645840. 541924.i 0.581262 0.487737i
\(263\) 313531. 1.77812e6i 0.279506 1.58516i −0.444768 0.895646i \(-0.646714\pi\)
0.724274 0.689512i \(-0.242175\pi\)
\(264\) −354839. + 129151.i −0.313344 + 0.114048i
\(265\) 442726. 0.387276
\(266\) −107931. 41510.9i −0.0935277 0.0359715i
\(267\) 705334. 0.605503
\(268\) −267452. + 97344.4i −0.227462 + 0.0827893i
\(269\) −320527. + 1.81780e6i −0.270074 + 1.53167i 0.484111 + 0.875007i \(0.339143\pi\)
−0.754185 + 0.656662i \(0.771968\pi\)
\(270\) −522897. + 438763.i −0.436523 + 0.366286i
\(271\) −744545. 624748.i −0.615840 0.516751i 0.280653 0.959809i \(-0.409449\pi\)
−0.896493 + 0.443058i \(0.853893\pi\)
\(272\) −83493.9 473517.i −0.0684278 0.388073i
\(273\) −37847.5 65553.8i −0.0307348 0.0532343i
\(274\) 812894. 1.40797e6i 0.654120 1.13297i
\(275\) −358306. 130413.i −0.285708 0.103989i
\(276\) −57769.2 21026.3i −0.0456482 0.0166146i
\(277\) 93286.0 161576.i 0.0730494 0.126525i −0.827187 0.561927i \(-0.810060\pi\)
0.900236 + 0.435401i \(0.143394\pi\)
\(278\) −302631. 524173.i −0.234856 0.406782i
\(279\) −206028. 1.16844e6i −0.158459 0.898664i
\(280\) −46075.2 38661.7i −0.0351214 0.0294704i
\(281\) −795765. + 667727.i −0.601200 + 0.504467i −0.891831 0.452368i \(-0.850579\pi\)
0.290631 + 0.956835i \(0.406135\pi\)
\(282\) 90203.4 511569.i 0.0675461 0.383073i
\(283\) 180954. 65861.8i 0.134308 0.0488841i −0.273992 0.961732i \(-0.588344\pi\)
0.408300 + 0.912848i \(0.366122\pi\)
\(284\) 761227. 0.560039
\(285\) −326429. + 542473.i −0.238055 + 0.395609i
\(286\) 1.57179e6 1.13626
\(287\) −148878. + 54187.3i −0.106691 + 0.0388322i
\(288\) −32208.7 + 182665.i −0.0228819 + 0.129770i
\(289\) 1.61469e6 1.35488e6i 1.13722 0.954238i
\(290\) −204893. 171926.i −0.143065 0.120045i
\(291\) 80173.0 + 454684.i 0.0555003 + 0.314758i
\(292\) 169254. + 293157.i 0.116167 + 0.201207i
\(293\) 79585.0 137845.i 0.0541579 0.0938043i −0.837675 0.546168i \(-0.816086\pi\)
0.891833 + 0.452364i \(0.149419\pi\)
\(294\) −486908. 177220.i −0.328533 0.119576i
\(295\) −780634. 284128.i −0.522267 0.190090i
\(296\) 265519. 459893.i 0.176144 0.305090i
\(297\) 1.25124e6 + 2.16721e6i 0.823093 + 1.42564i
\(298\) −8129.82 46106.5i −0.00530323 0.0300761i
\(299\) 196025. + 164485.i 0.126804 + 0.106402i
\(300\) 49002.7 41118.1i 0.0314352 0.0263773i
\(301\) 44605.7 252971.i 0.0283775 0.160937i
\(302\) −14720.5 + 5357.82i −0.00928762 + 0.00338042i
\(303\) 1.24892e6 0.781496
\(304\) 62759.0 + 397913.i 0.0389486 + 0.246947i
\(305\) −45636.7 −0.0280908
\(306\) −1.27877e6 + 465435.i −0.780711 + 0.284155i
\(307\) −162138. + 919531.i −0.0981836 + 0.556827i 0.895542 + 0.444978i \(0.146788\pi\)
−0.993725 + 0.111849i \(0.964323\pi\)
\(308\) −168918. + 141739.i −0.101461 + 0.0851356i
\(309\) −740232. 621128.i −0.441034 0.370071i
\(310\) −232734. 1.31990e6i −0.137548 0.780076i
\(311\) −49882.6 86399.2i −0.0292448 0.0506534i 0.851033 0.525113i \(-0.175977\pi\)
−0.880277 + 0.474459i \(0.842644\pi\)
\(312\) −131844. + 228361.i −0.0766786 + 0.132811i
\(313\) 1.87540e6 + 682591.i 1.08202 + 0.393822i 0.820658 0.571420i \(-0.193607\pi\)
0.261358 + 0.965242i \(0.415830\pi\)
\(314\) −764865. 278388.i −0.437785 0.159341i
\(315\) −85115.1 + 147424.i −0.0483315 + 0.0837126i
\(316\) 681561. + 1.18050e6i 0.383961 + 0.665040i
\(317\) −499665. 2.83374e6i −0.279274 1.58384i −0.725049 0.688697i \(-0.758183\pi\)
0.445775 0.895145i \(-0.352928\pi\)
\(318\) 208590. + 175028.i 0.115671 + 0.0970598i
\(319\) −751164. + 630301.i −0.413293 + 0.346794i
\(320\) −36383.7 + 206342.i −0.0198624 + 0.112645i
\(321\) −463843. + 168825.i −0.251252 + 0.0914481i
\(322\) −35899.3 −0.0192951
\(323\) −2.29805e6 + 1.85846e6i −1.22561 + 0.991166i
\(324\) 284431. 0.150527
\(325\) −250207. + 91068.0i −0.131399 + 0.0478253i
\(326\) 43698.1 247824.i 0.0227729 0.129151i
\(327\) 36368.6 30516.9i 0.0188086 0.0157823i
\(328\) 422788. + 354761.i 0.216989 + 0.182076i
\(329\) −52674.2 298730.i −0.0268292 0.152156i
\(330\) 603631. + 1.04552e6i 0.305131 + 0.528503i
\(331\) −593107. + 1.02729e6i −0.297552 + 0.515375i −0.975575 0.219665i \(-0.929503\pi\)
0.678023 + 0.735040i \(0.262837\pi\)
\(332\) −672452. 244753.i −0.334824 0.121866i
\(333\) −1.41233e6 514045.i −0.697951 0.254033i
\(334\) −343051. + 594182.i −0.168265 + 0.291443i
\(335\) 454973. + 788037.i 0.221500 + 0.383649i
\(336\) −6423.74 36430.9i −0.00310413 0.0176044i
\(337\) 1.81542e6 + 1.52332e6i 0.870767 + 0.730661i 0.964260 0.264959i \(-0.0853586\pi\)
−0.0934921 + 0.995620i \(0.529803\pi\)
\(338\) −296908. + 249136.i −0.141361 + 0.118616i
\(339\) −366015. + 2.07578e6i −0.172982 + 0.981028i
\(340\) −1.44453e6 + 525766.i −0.677688 + 0.246658i
\(341\) −4.91357e6 −2.28829
\(342\) 1.07824e6 370485.i 0.498481 0.171280i
\(343\) −611356. −0.280581
\(344\) −840870. + 306052.i −0.383118 + 0.139444i
\(345\) −34130.1 + 193561.i −0.0154379 + 0.0875529i
\(346\) −1.65009e6 + 1.38459e6i −0.740999 + 0.621772i
\(347\) −10474.0 8788.73i −0.00466970 0.00391834i 0.640450 0.768000i \(-0.278748\pi\)
−0.645119 + 0.764082i \(0.723192\pi\)
\(348\) −28565.9 162005.i −0.0126444 0.0717102i
\(349\) −1.46858e6 2.54366e6i −0.645408 1.11788i −0.984207 0.177020i \(-0.943354\pi\)
0.338800 0.940859i \(-0.389979\pi\)
\(350\) 18677.2 32349.8i 0.00814969 0.0141157i
\(351\) 1.64210e6 + 597677.i 0.711431 + 0.258940i
\(352\) 721822. + 262722.i 0.310508 + 0.113016i
\(353\) −549878. + 952417.i −0.234871 + 0.406809i −0.959235 0.282609i \(-0.908800\pi\)
0.724364 + 0.689418i \(0.242133\pi\)
\(354\) −255468. 442483.i −0.108350 0.187667i
\(355\) −422611. 2.39675e6i −0.177980 1.00937i
\(356\) −1.09913e6 922276.i −0.459645 0.385688i
\(357\) 207911. 174458.i 0.0863388 0.0724468i
\(358\) −117641. + 667177.i −0.0485124 + 0.275127i
\(359\) 3.81473e6 1.38845e6i 1.56217 0.568582i 0.590935 0.806719i \(-0.298759\pi\)
0.971231 + 0.238138i \(0.0765369\pi\)
\(360\) 593007. 0.241159
\(361\) 1.95317e6 1.52191e6i 0.788808 0.614640i
\(362\) 2.72700e6 1.09374
\(363\) 2.96872e6 1.08053e6i 1.18250 0.430397i
\(364\) −26738.4 + 151641.i −0.0105775 + 0.0599879i
\(365\) 829048. 695654.i 0.325722 0.273313i
\(366\) −21501.7 18042.1i −0.00839016 0.00704018i
\(367\) 280736. + 1.59213e6i 0.108801 + 0.617041i 0.989634 + 0.143614i \(0.0458723\pi\)
−0.880833 + 0.473428i \(0.843017\pi\)
\(368\) 62528.6 + 108303.i 0.0240691 + 0.0416889i
\(369\) 781020. 1.35277e6i 0.298604 0.517198i
\(370\) −1.59540e6 580677.i −0.605849 0.220511i
\(371\) 149417. + 54383.5i 0.0563594 + 0.0205131i
\(372\) 412159. 713880.i 0.154421 0.267465i
\(373\) −2.52006e6 4.36488e6i −0.937863 1.62443i −0.769447 0.638710i \(-0.779468\pi\)
−0.168415 0.985716i \(-0.553865\pi\)
\(374\) 978631. + 5.55009e6i 0.361776 + 2.05173i
\(375\) −1.11983e6 939652.i −0.411221 0.345056i
\(376\) −809478. + 679233.i −0.295281 + 0.247770i
\(377\) −118904. + 674337.i −0.0430866 + 0.244356i
\(378\) −230371. + 83848.3i −0.0829275 + 0.0301832i
\(379\) 4.27170e6 1.52758 0.763789 0.645466i \(-0.223337\pi\)
0.763789 + 0.645466i \(0.223337\pi\)
\(380\) 1.21800e6 418509.i 0.432701 0.148678i
\(381\) −1.83627e6 −0.648074
\(382\) 1.21144e6 440929.i 0.424760 0.154600i
\(383\) 735296. 4.17007e6i 0.256133 1.45260i −0.537016 0.843572i \(-0.680448\pi\)
0.793148 0.609029i \(-0.208441\pi\)
\(384\) −98717.7 + 82834.0i −0.0341639 + 0.0286669i
\(385\) 540047. + 453153.i 0.185686 + 0.155809i
\(386\) −187432. 1.06298e6i −0.0640288 0.363126i
\(387\) 1.26630e6 + 2.19330e6i 0.429793 + 0.744423i
\(388\) 469598. 813368.i 0.158361 0.274289i
\(389\) 2.31028e6 + 840874.i 0.774089 + 0.281745i 0.698706 0.715409i \(-0.253760\pi\)
0.0753833 + 0.997155i \(0.475982\pi\)
\(390\) 792196. + 288336.i 0.263737 + 0.0959925i
\(391\) −458758. + 794592.i −0.151755 + 0.262847i
\(392\) 527023. + 912831.i 0.173227 + 0.300037i
\(393\) −287874. 1.63262e6i −0.0940202 0.533215i
\(394\) −507092. 425501.i −0.164568 0.138089i
\(395\) 3.33845e6 2.80129e6i 1.07659 0.903370i
\(396\) 377518. 2.14101e6i 0.120976 0.686090i
\(397\) −1.96849e6 + 716473.i −0.626842 + 0.228152i −0.635856 0.771808i \(-0.719353\pi\)
0.00901431 + 0.999959i \(0.497131\pi\)
\(398\) −2.66430e6 −0.843093
\(399\) −176804. + 142984.i −0.0555981 + 0.0449628i
\(400\) −130126. −0.0406644
\(401\) 3.95805e6 1.44061e6i 1.22919 0.447390i 0.355872 0.934535i \(-0.384184\pi\)
0.873321 + 0.487145i \(0.161962\pi\)
\(402\) −97183.1 + 551153.i −0.0299934 + 0.170101i
\(403\) −2.62843e6 + 2.20551e6i −0.806183 + 0.676468i
\(404\) −1.94619e6 1.63305e6i −0.593243 0.497790i
\(405\) −157908. 895538.i −0.0478372 0.271298i
\(406\) −48031.2 83192.4i −0.0144613 0.0250477i
\(407\) −3.11215e6 + 5.39040e6i −0.931267 + 1.61300i
\(408\) −888447. 323368.i −0.264229 0.0961716i
\(409\) 1.04861e6 + 381663.i 0.309960 + 0.112816i 0.492317 0.870416i \(-0.336150\pi\)
−0.182356 + 0.983232i \(0.558372\pi\)
\(410\) 882257. 1.52811e6i 0.259200 0.448948i
\(411\) −1.59844e6 2.76857e6i −0.466757 0.808446i
\(412\) 341337. + 1.93582e6i 0.0990695 + 0.561851i
\(413\) −228558. 191783.i −0.0659357 0.0553266i
\(414\) 271135. 227510.i 0.0777473 0.0652377i
\(415\) −397285. + 2.25312e6i −0.113235 + 0.642190i
\(416\) 504052. 183460.i 0.142804 0.0519766i
\(417\) −1.19016e6 −0.335170
\(418\) −735597. 4.66393e6i −0.205920 1.30560i
\(419\) −2.91852e6 −0.812133 −0.406066 0.913844i \(-0.633100\pi\)
−0.406066 + 0.913844i \(0.633100\pi\)
\(420\) −111137. + 40450.7i −0.0307423 + 0.0111893i
\(421\) −102171. + 579438.i −0.0280945 + 0.159332i −0.995627 0.0934133i \(-0.970222\pi\)
0.967533 + 0.252745i \(0.0813333\pi\)
\(422\) −2.54943e6 + 2.13922e6i −0.696886 + 0.584757i
\(423\) 2.29102e6 + 1.92239e6i 0.622555 + 0.522386i
\(424\) −96185.3 545494.i −0.0259833 0.147359i
\(425\) −477353. 826799.i −0.128194 0.222038i
\(426\) 748420. 1.29630e6i 0.199812 0.346085i
\(427\) −15402.1 5605.91i −0.00408799 0.00148791i
\(428\) 943561. + 343428.i 0.248978 + 0.0906205i
\(429\) 1.54534e6 2.67661e6i 0.405398 0.702170i
\(430\) 1.43044e6 + 2.47760e6i 0.373077 + 0.646189i
\(431\) 555090. + 3.14807e6i 0.143936 + 0.816303i 0.968215 + 0.250119i \(0.0804698\pi\)
−0.824279 + 0.566184i \(0.808419\pi\)
\(432\) 654214. + 548951.i 0.168659 + 0.141522i
\(433\) −3.05069e6 + 2.55984e6i −0.781950 + 0.656134i −0.943739 0.330692i \(-0.892718\pi\)
0.161789 + 0.986825i \(0.448274\pi\)
\(434\) 83587.2 474047.i 0.0213018 0.120808i
\(435\) −494220. + 179881.i −0.125227 + 0.0455788i
\(436\) −96576.5 −0.0243307
\(437\) 396333. 658642.i 0.0992788 0.164986i
\(438\) 665626. 0.165785
\(439\) −4.95224e6 + 1.80247e6i −1.22642 + 0.446382i −0.872372 0.488843i \(-0.837419\pi\)
−0.354053 + 0.935225i \(0.615197\pi\)
\(440\) 426453. 2.41853e6i 0.105012 0.595553i
\(441\) 2.28527e6 1.91757e6i 0.559552 0.469520i
\(442\) 3.01473e6 + 2.52965e6i 0.733993 + 0.615893i
\(443\) 336553. + 1.90868e6i 0.0814786 + 0.462088i 0.998061 + 0.0622425i \(0.0198252\pi\)
−0.916582 + 0.399846i \(0.869064\pi\)
\(444\) −522105. 904312.i −0.125690 0.217701i
\(445\) −2.29361e6 + 3.97265e6i −0.549060 + 0.951000i
\(446\) 308098. + 112138.i 0.0733418 + 0.0266942i
\(447\) −86508.3 31486.5i −0.0204781 0.00745341i
\(448\) −37625.9 + 65169.9i −0.00885710 + 0.0153409i
\(449\) 2.75540e6 + 4.77249e6i 0.645013 + 1.11720i 0.984299 + 0.176512i \(0.0564814\pi\)
−0.339286 + 0.940683i \(0.610185\pi\)
\(450\) 63952.6 + 362693.i 0.0148877 + 0.0844322i
\(451\) −4.95549e6 4.15815e6i −1.14722 0.962629i
\(452\) 3.28460e6 2.75610e6i 0.756199 0.634526i
\(453\) −5348.94 + 30335.3i −0.00122468 + 0.00694550i
\(454\) −268334. + 97665.7i −0.0610994 + 0.0222384i
\(455\) 492292. 0.111479
\(456\) 739314. + 284346.i 0.166501 + 0.0640375i
\(457\) −8.10498e6 −1.81536 −0.907678 0.419668i \(-0.862147\pi\)
−0.907678 + 0.419668i \(0.862147\pi\)
\(458\) −5.88699e6 + 2.14269e6i −1.31138 + 0.477305i
\(459\) −1.08803e6 + 6.17052e6i −0.241051 + 1.36707i
\(460\) 306281. 257000.i 0.0674877 0.0566289i
\(461\) −796137. 668038.i −0.174476 0.146403i 0.551368 0.834262i \(-0.314106\pi\)
−0.725844 + 0.687860i \(0.758550\pi\)
\(462\) 75292.6 + 427005.i 0.0164115 + 0.0930740i
\(463\) 4.07948e6 + 7.06586e6i 0.884407 + 1.53184i 0.846392 + 0.532560i \(0.178770\pi\)
0.0380143 + 0.999277i \(0.487897\pi\)
\(464\) −167319. + 289806.i −0.0360788 + 0.0624902i
\(465\) −2.47649e6 901369.i −0.531134 0.193317i
\(466\) −1.83479e6 667810.i −0.391401 0.142458i
\(467\) 2.10242e6 3.64150e6i 0.446095 0.772660i −0.552032 0.833823i \(-0.686148\pi\)
0.998128 + 0.0611628i \(0.0194809\pi\)
\(468\) −759071. 1.31475e6i −0.160202 0.277478i
\(469\) 56750.0 + 321845.i 0.0119134 + 0.0675640i
\(470\) 2.58799e6 + 2.17158e6i 0.540402 + 0.453451i
\(471\) −1.22607e6 + 1.02879e6i −0.254661 + 0.213686i
\(472\) −180483. + 1.02357e6i −0.0372890 + 0.211476i
\(473\) 9.85583e6 3.58723e6i 2.02554 0.737235i
\(474\) 2.68038e6 0.547961
\(475\) 387322. + 699816.i 0.0787658 + 0.142315i
\(476\) −552104. −0.111687
\(477\) −1.47315e6 + 536184.i −0.296450 + 0.107899i
\(478\) 1.07775e6 6.11223e6i 0.215749 1.22357i
\(479\) 7.50487e6 6.29733e6i 1.49453 1.25406i 0.605806 0.795612i \(-0.292851\pi\)
0.888722 0.458446i \(-0.151594\pi\)
\(480\) 315611. + 264829.i 0.0625243 + 0.0524641i
\(481\) 754755. + 4.28043e6i 0.148745 + 0.843576i
\(482\) 1.23393e6 + 2.13722e6i 0.241920 + 0.419018i
\(483\) −35295.3 + 61133.3i −0.00688413 + 0.0119237i
\(484\) −6.03904e6 2.19803e6i −1.17180 0.426502i
\(485\) −2.82162e6 1.02699e6i −0.544684 0.198249i
\(486\) 1.90094e6 3.29252e6i 0.365071 0.632322i
\(487\) −3.43723e6 5.95345e6i −0.656728 1.13749i −0.981458 0.191680i \(-0.938607\pi\)
0.324729 0.945807i \(-0.394727\pi\)
\(488\) 9914.89 + 56230.1i 0.00188468 + 0.0106886i
\(489\) −379059. 318068.i −0.0716861 0.0601518i
\(490\) 2.58149e6 2.16613e6i 0.485713 0.407562i
\(491\) −401374. + 2.27630e6i −0.0751355 + 0.426114i 0.923917 + 0.382593i \(0.124969\pi\)
−0.999052 + 0.0435215i \(0.986142\pi\)
\(492\) 1.01980e6 371178.i 0.189934 0.0691304i
\(493\) −2.45517e6 −0.454950
\(494\) −2.48696e6 2.16471e6i −0.458512 0.399101i
\(495\) −6.95062e6 −1.27500
\(496\) −1.57572e6 + 573515.i −0.287591 + 0.104674i
\(497\) 151782. 860800.i 0.0275632 0.156319i
\(498\) −1.07793e6 + 904491.i −0.194768 + 0.163430i
\(499\) 3.07651e6 + 2.58150e6i 0.553104 + 0.464109i 0.875991 0.482328i \(-0.160209\pi\)
−0.322887 + 0.946438i \(0.604653\pi\)
\(500\) 516379. + 2.92853e6i 0.0923727 + 0.523872i
\(501\) 674559. + 1.16837e6i 0.120068 + 0.207963i
\(502\) 987431. 1.71028e6i 0.174883 0.302906i
\(503\) 1.16939e6 + 425624.i 0.206082 + 0.0750078i 0.442999 0.896522i \(-0.353915\pi\)
−0.236917 + 0.971530i \(0.576137\pi\)
\(504\) 200136. + 72843.6i 0.0350953 + 0.0127737i
\(505\) −4.06124e6 + 7.03428e6i −0.708648 + 1.22741i
\(506\) −732897. 1.26942e6i −0.127253 0.220408i
\(507\) 132343. + 750552.i 0.0228655 + 0.129676i
\(508\) 2.86148e6 + 2.40106e6i 0.491961 + 0.412804i
\(509\) 6.07072e6 5.09394e6i 1.03859 0.871484i 0.0467459 0.998907i \(-0.485115\pi\)
0.991849 + 0.127423i \(0.0406705\pi\)
\(510\) −524895. + 2.97683e6i −0.0893608 + 0.506790i
\(511\) 365251. 132941.i 0.0618784 0.0225219i
\(512\) 262144. 0.0441942
\(513\) 1.00497e6 5.15230e6i 0.168601 0.864387i
\(514\) −4.41386e6 −0.736904
\(515\) 5.90548e6 2.14942e6i 0.981153 0.357111i
\(516\) −305545. + 1.73283e6i −0.0505185 + 0.286505i
\(517\) 9.48788e6 7.96128e6i 1.56114 1.30996i
\(518\) −467108. 391950.i −0.0764879 0.0641809i
\(519\) 735504. + 4.17125e6i 0.119858 + 0.679748i
\(520\) −857464. 1.48517e6i −0.139062 0.240862i
\(521\) 913348. 1.58197e6i 0.147415 0.255331i −0.782856 0.622203i \(-0.786238\pi\)
0.930271 + 0.366872i \(0.119571\pi\)
\(522\) 889991. + 323930.i 0.142958 + 0.0520326i
\(523\) 3.12976e6 + 1.13914e6i 0.500330 + 0.182105i 0.579842 0.814729i \(-0.303114\pi\)
−0.0795127 + 0.996834i \(0.525336\pi\)
\(524\) −1.68617e6 + 2.92053e6i −0.268270 + 0.464658i
\(525\) −36725.9 63611.2i −0.00581533 0.0100724i
\(526\) 1.25412e6 + 7.11249e6i 0.197641 + 1.12088i
\(527\) −9.42435e6 7.90797e6i −1.47817 1.24033i
\(528\) 1.15707e6 970896.i 0.180624 0.151561i
\(529\) −1.07622e6 + 6.10355e6i −0.167210 + 0.948295i
\(530\) −1.66411e6 + 605685.i −0.257330 + 0.0936606i
\(531\) 2.94163e6 0.452743
\(532\) 462476. + 8372.30i 0.0708452 + 0.00128253i
\(533\) −4.51729e6 −0.688748
\(534\) −2.65119e6 + 964953.i −0.402335 + 0.146438i
\(535\) 557457. 3.16149e6i 0.0842028 0.477538i
\(536\) 872114. 731790.i 0.131118 0.110021i
\(537\) 1.02048e6 + 856285.i 0.152711 + 0.128139i
\(538\) −1.28211e6 7.27119e6i −0.190971 1.08305i
\(539\) −6.17723e6 1.06993e7i −0.915845 1.58629i
\(540\) 1.36519e6 2.36457e6i 0.201469 0.348954i
\(541\) 3.00097e6 + 1.09226e6i 0.440827 + 0.160448i 0.552892 0.833253i \(-0.313524\pi\)
−0.112065 + 0.993701i \(0.535746\pi\)
\(542\) 3.65328e6 + 1.32969e6i 0.534176 + 0.194424i
\(543\) 2.68112e6 4.64383e6i 0.390226 0.675891i
\(544\) 961644. + 1.66562e6i 0.139321 + 0.241311i
\(545\) 53616.5 + 304074.i 0.00773227 + 0.0438519i
\(546\) 231943. + 194623.i 0.0332966 + 0.0279391i
\(547\) −46789.7 + 39261.2i −0.00668624 + 0.00561043i −0.646125 0.763232i \(-0.723611\pi\)
0.639438 + 0.768842i \(0.279167\pi\)
\(548\) −1.12926e6 + 6.40435e6i −0.160636 + 0.911011i
\(549\) 151854. 55270.4i 0.0215028 0.00782639i
\(550\) 1.52521e6 0.214992
\(551\) 2.05660e6 + 37231.0i 0.288583 + 0.00522427i
\(552\) 245907. 0.0343497
\(553\) 1.47081e6 535332.i 0.204524 0.0744406i
\(554\) −129591. + 734950.i −0.0179392 + 0.101738i
\(555\) −2.55740e6 + 2.14591e6i −0.352424 + 0.295719i
\(556\) 1.85463e6 + 1.55622e6i 0.254431 + 0.213493i
\(557\) 512159. + 2.90460e6i 0.0699466 + 0.396687i 0.999601 + 0.0282537i \(0.00899461\pi\)
−0.929654 + 0.368433i \(0.879894\pi\)
\(558\) 2.37294e6 + 4.11005e6i 0.322627 + 0.558806i
\(559\) 3.66204e6 6.34283e6i 0.495670 0.858526i
\(560\) 226078. + 82285.8i 0.0304641 + 0.0110880i
\(561\) 1.04135e7 + 3.79020e6i 1.39697 + 0.508457i
\(562\) 2.07760e6 3.59850e6i 0.277473 0.480597i
\(563\) 1.37243e6 + 2.37711e6i 0.182481 + 0.316067i 0.942725 0.333571i \(-0.108254\pi\)
−0.760244 + 0.649638i \(0.774920\pi\)
\(564\) 360814. + 2.04628e6i 0.0477623 + 0.270873i
\(565\) −1.05012e7 8.81154e6i −1.38394 1.16126i
\(566\) −590060. + 495119.i −0.0774203 + 0.0649634i
\(567\) 56713.1 321636.i 0.00740842 0.0420152i
\(568\) −2.86128e6 + 1.04142e6i −0.372125 + 0.135443i
\(569\) −3.86125e6 −0.499974 −0.249987 0.968249i \(-0.580426\pi\)
−0.249987 + 0.968249i \(0.580426\pi\)
\(570\) 484826. 2.48561e6i 0.0625027 0.320440i
\(571\) −2.76457e6 −0.354844 −0.177422 0.984135i \(-0.556776\pi\)
−0.177422 + 0.984135i \(0.556776\pi\)
\(572\) −5.90798e6 + 2.15033e6i −0.755004 + 0.274799i
\(573\) 440198. 2.49649e6i 0.0560095 0.317646i
\(574\) 485467. 407355.i 0.0615007 0.0516052i
\(575\) 190216. + 159610.i 0.0239926 + 0.0201322i
\(576\) −128835. 730659.i −0.0161800 0.0917611i
\(577\) 67370.1 + 116689.i 0.00842419 + 0.0145911i 0.870207 0.492687i \(-0.163985\pi\)
−0.861783 + 0.507278i \(0.830652\pi\)
\(578\) −4.21564e6 + 7.30171e6i −0.524861 + 0.909086i
\(579\) −1.99444e6 725916.i −0.247243 0.0899892i
\(580\) 1.00535e6 + 365919.i 0.124093 + 0.0451663i
\(581\) −410849. + 711611.i −0.0504943 + 0.0874586i
\(582\) −923396. 1.59937e6i −0.113001 0.195723i
\(583\) 1.12739e6 + 6.39373e6i 0.137373 + 0.779081i
\(584\) −1.03725e6 870355.i −0.125849 0.105600i
\(585\) −3.71812e6 + 3.11987e6i −0.449193 + 0.376918i
\(586\) −110558. + 627007.i −0.0132999 + 0.0754273i
\(587\) 2.60775e6 949142.i 0.312371 0.113694i −0.181078 0.983469i \(-0.557959\pi\)
0.493448 + 0.869775i \(0.335736\pi\)
\(588\) 2.07263e6 0.247217
\(589\) 7.77449e6 + 6.76711e6i 0.923387 + 0.803739i
\(590\) 3.32293e6 0.392999
\(591\) −1.22315e6 + 445190.i −0.144049 + 0.0524297i
\(592\) −368856. + 2.09188e6i −0.0432566 + 0.245320i
\(593\) −8.68226e6 + 7.28528e6i −1.01390 + 0.850765i −0.988849 0.148921i \(-0.952420\pi\)
−0.0250535 + 0.999686i \(0.507976\pi\)
\(594\) −7.66803e6 6.43424e6i −0.891698 0.748223i
\(595\) 306512. + 1.73832e6i 0.0354941 + 0.201297i
\(596\) 93635.6 + 162182.i 0.0107976 + 0.0187019i
\(597\) −2.61948e6 + 4.53707e6i −0.300801 + 0.521002i
\(598\) −961843. 350082.i −0.109989 0.0400329i
\(599\) 6.50993e6 + 2.36942e6i 0.741327 + 0.269821i 0.684951 0.728589i \(-0.259823\pi\)
0.0563753 + 0.998410i \(0.482046\pi\)
\(600\) −127937. + 221593.i −0.0145083 + 0.0251292i
\(601\) −4.35793e6 7.54816e6i −0.492146 0.852423i 0.507813 0.861468i \(-0.330454\pi\)
−0.999959 + 0.00904490i \(0.997121\pi\)
\(602\) 178423. + 1.01189e6i 0.0200659 + 0.113799i
\(603\) −2.46829e6 2.07114e6i −0.276441 0.231962i
\(604\) 48001.0 40277.6i 0.00535374 0.00449233i
\(605\) −3.56787e6 + 2.02344e7i −0.396297 + 2.24751i
\(606\) −4.69439e6 + 1.70862e6i −0.519275 + 0.189001i
\(607\) −1.16901e7 −1.28779 −0.643895 0.765114i \(-0.722682\pi\)
−0.643895 + 0.765114i \(0.722682\pi\)
\(608\) −780274. 1.40981e6i −0.0856028 0.154668i
\(609\) −188892. −0.0206382
\(610\) 171538. 62434.7i 0.0186653 0.00679362i
\(611\) 1.50186e6 8.51750e6i 0.162753 0.923016i
\(612\) 4.16986e6 3.49893e6i 0.450032 0.377622i
\(613\) 4.18156e6 + 3.50874e6i 0.449456 + 0.377138i 0.839234 0.543771i \(-0.183004\pi\)
−0.389778 + 0.920909i \(0.627448\pi\)
\(614\) −648552. 3.67812e6i −0.0694263 0.393736i
\(615\) −1.73483e6 3.00481e6i −0.184956 0.320353i
\(616\) 441012. 763856.i 0.0468273 0.0811072i
\(617\) 5.76966e6 + 2.09999e6i 0.610151 + 0.222077i 0.628569 0.777754i \(-0.283641\pi\)
−0.0184182 + 0.999830i \(0.505863\pi\)
\(618\) 3.63212e6 + 1.32198e6i 0.382550 + 0.139237i
\(619\) 624938. 1.08242e6i 0.0655557 0.113546i −0.831385 0.555697i \(-0.812451\pi\)
0.896940 + 0.442152i \(0.145785\pi\)
\(620\) 2.68052e6 + 4.64280e6i 0.280053 + 0.485066i
\(621\) −282986. 1.60489e6i −0.0294467 0.167000i
\(622\) 305698. + 256511.i 0.0316823 + 0.0265846i
\(623\) −1.26207e6 + 1.05900e6i −0.130276 + 0.109314i
\(624\) 183156. 1.03873e6i 0.0188304 0.106792i
\(625\) 7.44123e6 2.70839e6i 0.761982 0.277339i
\(626\) −7.98305e6 −0.814203
\(627\) −8.66549e6 3.33281e6i −0.880287 0.338565i
\(628\) 3.25581e6 0.329427
\(629\) −1.46446e7 + 5.33019e6i −1.47588 + 0.537175i
\(630\) 118241. 670576.i 0.0118690 0.0673126i
\(631\) −317408. + 266337.i −0.0317354 + 0.0266292i −0.658517 0.752565i \(-0.728816\pi\)
0.626782 + 0.779195i \(0.284372\pi\)
\(632\) −4.17685e6 3.50479e6i −0.415964 0.349035i
\(633\) 1.13637e6 + 6.44468e6i 0.112723 + 0.639282i
\(634\) 5.75491e6 + 9.96780e6i 0.568611 + 0.984863i
\(635\) 5.97121e6 1.03424e7i 0.587663 1.01786i
\(636\) −1.02349e6 372522.i −0.100333 0.0365181i
\(637\) −8.10690e6 2.95067e6i −0.791601 0.288119i
\(638\) 1.96115e6 3.39681e6i 0.190747 0.330384i
\(639\) 4.30891e6 + 7.46325e6i 0.417460 + 0.723063i
\(640\) −145535. 825369.i −0.0140448 0.0796522i
\(641\) 1.26849e7 + 1.06439e7i 1.21939 + 1.02319i 0.998856 + 0.0478129i \(0.0152251\pi\)
0.220536 + 0.975379i \(0.429219\pi\)
\(642\) 1.51251e6 1.26915e6i 0.144831 0.121528i
\(643\) 804537. 4.56276e6i 0.0767394 0.435211i −0.922096 0.386962i \(-0.873525\pi\)
0.998835 0.0482495i \(-0.0153643\pi\)
\(644\) 134937. 49113.1i 0.0128208 0.00466641i
\(645\) 5.62550e6 0.532429
\(646\) 6.09531e6 1.01294e7i 0.574665 0.955001i
\(647\) −1.59014e7 −1.49340 −0.746699 0.665162i \(-0.768363\pi\)
−0.746699 + 0.665162i \(0.768363\pi\)
\(648\) −1.06911e6 + 389124.i −0.100019 + 0.0364041i
\(649\) 2.11543e6 1.19972e7i 0.197146 1.11807i
\(650\) 815883. 684607.i 0.0757434 0.0635562i
\(651\) −725078. 608413.i −0.0670552 0.0562660i
\(652\) 174792. + 991296.i 0.0161029 + 0.0913239i
\(653\) 9.01348e6 + 1.56118e7i 0.827198 + 1.43275i 0.900228 + 0.435420i \(0.143400\pi\)
−0.0730294 + 0.997330i \(0.523267\pi\)
\(654\) −94951.7 + 164461.i −0.00868077 + 0.0150355i
\(655\) 1.01315e7 + 3.68756e6i 0.922721 + 0.335843i
\(656\) −2.07451e6 755058.i −0.188215 0.0685048i
\(657\) −1.91612e6 + 3.31881e6i −0.173184 + 0.299964i
\(658\) 606678. + 1.05080e6i 0.0546252 + 0.0946137i
\(659\) −2.55852e6 1.45101e7i −0.229496 1.30154i −0.853901 0.520436i \(-0.825770\pi\)
0.624405 0.781101i \(-0.285342\pi\)
\(660\) −3.69927e6 3.10405e6i −0.330564 0.277376i
\(661\) 5.92570e6 4.97225e6i 0.527516 0.442639i −0.339726 0.940524i \(-0.610334\pi\)
0.867243 + 0.497885i \(0.165890\pi\)
\(662\) 823935. 4.67277e6i 0.0730715 0.414409i
\(663\) 7.27178e6 2.64671e6i 0.642476 0.233842i
\(664\) 2.86243e6 0.251951
\(665\) −230393. 1.46077e6i −0.0202030 0.128094i
\(666\) 6.01187e6 0.525199
\(667\) 600055. 218402.i 0.0522248 0.0190083i
\(668\) 476562. 2.70272e6i 0.0413217 0.234347i
\(669\) 493876. 414411.i 0.0426631 0.0357986i
\(670\) −2.78824e6 2.33961e6i −0.239962 0.201352i
\(671\) −116212. 659072.i −0.00996427 0.0565102i
\(672\) 73985.7 + 128147.i 0.00632011 + 0.0109468i
\(673\) 733953. 1.27124e6i 0.0624641 0.108191i −0.833102 0.553119i \(-0.813437\pi\)
0.895566 + 0.444928i \(0.146771\pi\)
\(674\) −8.90777e6 3.24216e6i −0.755299 0.274906i
\(675\) 1.59344e6 + 579966.i 0.134610 + 0.0489940i
\(676\) 775172. 1.34264e6i 0.0652426 0.113004i
\(677\) −8.52294e6 1.47622e7i −0.714690 1.23788i −0.963079 0.269219i \(-0.913235\pi\)
0.248389 0.968660i \(-0.420099\pi\)
\(678\) −1.46406e6 8.30311e6i −0.122317 0.693692i
\(679\) −826128. 693204.i −0.0687659 0.0577014i
\(680\) 4.71037e6 3.95247e6i 0.390645 0.327790i
\(681\) −97503.9 + 552972.i −0.00805665 + 0.0456915i
\(682\) 1.84690e7 6.72216e6i 1.52048 0.553411i
\(683\) −1.91081e7 −1.56735 −0.783676 0.621170i \(-0.786658\pi\)
−0.783676 + 0.621170i \(0.786658\pi\)
\(684\) −3.54599e6 + 2.86768e6i −0.289799 + 0.234364i
\(685\) 2.07912e7 1.69299
\(686\) 2.29795e6 836384.i 0.186436 0.0678571i
\(687\) −2.13914e6 + 1.21317e7i −0.172921 + 0.980683i
\(688\) 2.74194e6 2.30076e6i 0.220844 0.185310i
\(689\) 3.47298e6 + 2.91417e6i 0.278711 + 0.233866i
\(690\) −136520. 774245.i −0.0109163 0.0619092i
\(691\) 6.58402e6 + 1.14039e7i 0.524561 + 0.908567i 0.999591 + 0.0285970i \(0.00910395\pi\)
−0.475030 + 0.879970i \(0.657563\pi\)
\(692\) 4.30808e6 7.46181e6i 0.341994 0.592351i
\(693\) −2.34579e6 853799.i −0.185548 0.0675340i
\(694\) 51393.1 + 18705.5i 0.00405047 + 0.00147425i
\(695\) 3.87017e6 6.70333e6i 0.303926 0.526416i
\(696\) 329009. + 569860.i 0.0257445 + 0.0445908i
\(697\) −2.81257e6 1.59509e7i −0.219291 1.24366i
\(698\) 8.99998e6 + 7.55188e6i 0.699203 + 0.586701i
\(699\) −2.94114e6 + 2.46791e6i −0.227679 + 0.191046i
\(700\) −25946.1 + 147148.i −0.00200137 + 0.0113503i
\(701\) −1.77442e7 + 6.45835e6i −1.36383 + 0.496394i −0.917236 0.398343i \(-0.869585\pi\)
−0.446594 + 0.894737i \(0.647363\pi\)
\(702\) −6.98996e6 −0.535343
\(703\) 1.23480e7 4.24281e6i 0.942343 0.323792i
\(704\) −3.07259e6 −0.233654
\(705\) 6.24245e6 2.27207e6i 0.473023 0.172166i
\(706\) 763883. 4.33219e6i 0.0576786 0.327112i
\(707\) −2.23472e6 + 1.87515e6i −0.168141 + 0.141087i
\(708\) 1.56560e6 + 1.31369e6i 0.117381 + 0.0984942i
\(709\) 621528. + 3.52486e6i 0.0464350 + 0.263346i 0.999183 0.0404161i \(-0.0128684\pi\)
−0.952748 + 0.303762i \(0.901757\pi\)
\(710\) 4.86744e6 + 8.43066e6i 0.362372 + 0.627647i
\(711\) −7.71592e6 + 1.33644e7i −0.572419 + 0.991458i
\(712\) 5.39311e6 + 1.96293e6i 0.398694 + 0.145113i
\(713\) 3.00682e6 + 1.09439e6i 0.221505 + 0.0806213i
\(714\) −542816. + 940185.i −0.0398480 + 0.0690188i
\(715\) 1.00503e7 + 1.74077e7i 0.735216 + 1.27343i
\(716\) −470565. 2.66871e6i −0.0343034 0.194544i
\(717\) −9.34897e6 7.84472e6i −0.679150 0.569875i
\(718\) −1.24392e7 + 1.04377e7i −0.900493 + 0.755603i
\(719\) 2.11129e6 1.19737e7i 0.152309 0.863787i −0.808896 0.587952i \(-0.799934\pi\)
0.961205 0.275835i \(-0.0889545\pi\)
\(720\) −2.22898e6 + 811281.i −0.160241 + 0.0583230i
\(721\) 2.25709e6 0.161700
\(722\) −5.25941e6 + 8.39260e6i −0.375486 + 0.599174i
\(723\) 4.85267e6 0.345251
\(724\) −1.02501e7 + 3.73075e6i −0.726748 + 0.264515i
\(725\) −115380. + 654354.i −0.00815242 + 0.0462347i
\(726\) −9.68050e6 + 8.12290e6i −0.681642 + 0.571965i
\(727\) −1.29242e7 1.08447e7i −0.906918 0.760994i 0.0646124 0.997910i \(-0.479419\pi\)
−0.971530 + 0.236916i \(0.923863\pi\)
\(728\) −106954. 606565.i −0.00747942 0.0424179i
\(729\) −1.57802e6 2.73322e6i −0.109975 0.190483i
\(730\) −2.16449e6 + 3.74901e6i −0.150331 + 0.260381i
\(731\) 2.46771e7 + 8.98172e6i 1.70805 + 0.621679i
\(732\) 105503. + 38399.9i 0.00727758 + 0.00264882i
\(733\) −1.73323e6 + 3.00204e6i −0.119150 + 0.206374i −0.919431 0.393251i \(-0.871350\pi\)
0.800281 + 0.599625i \(0.204684\pi\)
\(734\) −3.23339e6 5.60040e6i −0.221523 0.383688i
\(735\) −1.15066e6 6.52573e6i −0.0785650 0.445564i
\(736\) −383198. 321541.i −0.0260752 0.0218797i
\(737\) −1.02220e7 + 8.57730e6i −0.693216 + 0.581677i
\(738\) −1.08498e6 + 6.15324e6i −0.0733299 + 0.415875i
\(739\) −2.10455e7 + 7.65993e6i −1.41758 + 0.515957i −0.933345 0.358980i \(-0.883125\pi\)
−0.484236 + 0.874937i \(0.660902\pi\)
\(740\) 6.79114e6 0.455894
\(741\) −6.13142e6 + 2.10678e6i −0.410219 + 0.140953i
\(742\) −636027. −0.0424097
\(743\) −7.67598e6 + 2.79383e6i −0.510108 + 0.185664i −0.584235 0.811585i \(-0.698605\pi\)
0.0741270 + 0.997249i \(0.476383\pi\)
\(744\) −572565. + 3.24718e6i −0.0379221 + 0.215067i
\(745\) 458650. 384853.i 0.0302755 0.0254041i
\(746\) 1.54438e7 + 1.29589e7i 1.01603 + 0.852554i
\(747\) −1.40679e6 7.97830e6i −0.0922418 0.523129i
\(748\) −1.12714e7 1.95227e7i −0.736588 1.27581i
\(749\) 576489. 998508.i 0.0375480 0.0650350i
\(750\) 5.49472e6 + 1.99991e6i 0.356691 + 0.129825i
\(751\) 1.39573e7 + 5.08003e6i 0.903028 + 0.328675i 0.751465 0.659773i \(-0.229347\pi\)
0.151562 + 0.988448i \(0.451570\pi\)
\(752\) 2.11340e6 3.66051e6i 0.136281 0.236046i
\(753\) −1.94164e6 3.36301e6i −0.124790 0.216143i
\(754\) −475615. 2.69735e6i −0.0304669 0.172786i
\(755\) −153464. 128772.i −0.00979804 0.00822153i
\(756\) 751201. 630333.i 0.0478026 0.0401112i
\(757\) −430338. + 2.44057e6i −0.0272942 + 0.154793i −0.995409 0.0957145i \(-0.969486\pi\)
0.968115 + 0.250508i \(0.0805975\pi\)
\(758\) −1.60564e7 + 5.84404e6i −1.01502 + 0.369437i
\(759\) −2.88227e6 −0.181606
\(760\) −4.00563e6 + 3.23940e6i −0.251557 + 0.203437i
\(761\) −7.92371e6 −0.495983 −0.247991 0.968762i \(-0.579770\pi\)
−0.247991 + 0.968762i \(0.579770\pi\)
\(762\) 6.90213e6 2.51217e6i 0.430621 0.156733i
\(763\) −19256.5 + 109209.i −0.00119748 + 0.00679122i
\(764\) −3.95030e6 + 3.31470e6i −0.244848 + 0.205452i
\(765\) −1.33315e7 1.11864e7i −0.823616 0.691096i
\(766\) 2.94118e6 + 1.66803e7i 0.181113 + 1.02714i
\(767\) −4.25348e6 7.36724e6i −0.261069 0.452185i
\(768\) 257734.