Properties

Label 43.10.g.a.9.6
Level 43
Weight 10
Character 43.9
Analytic conductor 22.147
Analytic rank 0
Dimension 384
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(32\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.6
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-19.3029 - 24.2051i) q^{2} +(-19.7836 - 2.98190i) q^{3} +(-99.3527 + 435.293i) q^{4} +(-962.959 - 656.534i) q^{5} +(309.704 + 536.424i) q^{6} +(642.011 - 1112.00i) q^{7} +(-1827.39 + 880.025i) q^{8} +(-18426.0 - 5683.68i) q^{9} +O(q^{10})\) \(q+(-19.3029 - 24.2051i) q^{2} +(-19.7836 - 2.98190i) q^{3} +(-99.3527 + 435.293i) q^{4} +(-962.959 - 656.534i) q^{5} +(309.704 + 536.424i) q^{6} +(642.011 - 1112.00i) q^{7} +(-1827.39 + 880.025i) q^{8} +(-18426.0 - 5683.68i) q^{9} +(2696.44 + 35981.5i) q^{10} +(-10507.0 - 46034.1i) q^{11} +(3263.56 - 8315.41i) q^{12} +(-10925.4 + 145790. i) q^{13} +(-39308.6 + 5924.82i) q^{14} +(17093.1 + 15860.1i) q^{15} +(262538. + 126431. i) q^{16} +(-221042. + 150704. i) q^{17} +(218102. + 555715. i) q^{18} +(-477466. + 147279. i) q^{19} +(381457. - 353940. i) q^{20} +(-16017.2 + 20084.9i) q^{21} +(-911442. + 1.14291e6i) q^{22} +(649206. - 602376. i) q^{23} +(38776.6 - 11961.0i) q^{24} +(-217304. - 553682. i) q^{25} +(3.73974e6 - 2.54971e6i) q^{26} +(702387. + 338252. i) q^{27} +(420258. + 389942. i) q^{28} +(4.51824e6 - 681016. i) q^{29} +(53947.9 - 719885. i) q^{30} +(2.53306e6 - 6.45413e6i) q^{31} +(-1.77637e6 - 7.78280e6i) q^{32} +(70597.0 + 942052. i) q^{33} +(7.91456e6 + 2.44132e6i) q^{34} +(-1.34829e6 + 649304. i) q^{35} +(4.30474e6 - 7.45603e6i) q^{36} +(9.90493e6 + 1.71558e7i) q^{37} +(1.27814e7 + 8.71419e6i) q^{38} +(650876. - 2.85167e6i) q^{39} +(2.33747e6 + 352317. i) q^{40} +(-1.79343e7 - 2.24889e7i) q^{41} +795334. q^{42} +(3.41067e6 - 2.21576e7i) q^{43} +2.10822e7 q^{44} +(1.40120e7 + 1.75705e7i) q^{45} +(-2.71121e7 - 4.08649e6i) q^{46} +(-782677. + 3.42913e6i) q^{47} +(-4.81694e6 - 3.28414e6i) q^{48} +(1.93524e7 + 3.35194e7i) q^{49} +(-9.20731e6 + 1.59475e7i) q^{50} +(4.82241e6 - 2.32235e6i) q^{51} +(-6.23758e7 - 1.92404e7i) q^{52} +(5.69243e6 + 7.59602e7i) q^{53} +(-5.37070e6 - 2.35306e7i) q^{54} +(-2.01052e7 + 5.12271e7i) q^{55} +(-194621. + 2.59704e6i) q^{56} +(9.88519e6 - 1.48995e6i) q^{57} +(-1.03699e8 - 9.62188e7i) q^{58} +(7.59715e7 + 3.65860e7i) q^{59} +(-8.60202e6 + 5.86476e6i) q^{60} +(4.36952e7 + 1.11333e8i) q^{61} +(-2.05118e8 + 6.32706e7i) q^{62} +(-1.81499e7 + 1.68407e7i) q^{63} +(-6.10731e7 + 7.65833e7i) q^{64} +(1.06237e8 - 1.33217e8i) q^{65} +(2.14397e7 - 1.98931e7i) q^{66} +(-7.51250e7 + 2.31730e7i) q^{67} +(-4.36392e7 - 1.11191e8i) q^{68} +(-1.46399e7 + 9.98131e6i) q^{69} +(4.17424e7 + 2.01021e7i) q^{70} +(-1.42019e8 - 1.31775e8i) q^{71} +(3.86733e7 - 5.82907e6i) q^{72} +(1.63794e7 - 2.18567e8i) q^{73} +(2.24065e8 - 5.70907e8i) q^{74} +(2.64804e6 + 1.16018e7i) q^{75} +(-1.66718e7 - 2.22470e8i) q^{76} +(-5.79353e7 - 1.78707e7i) q^{77} +(-8.15888e7 + 3.92911e7i) q^{78} +(-3.12444e8 + 5.41168e8i) q^{79} +(-1.69806e8 - 2.94113e8i) q^{80} +(3.00705e8 + 2.05017e8i) q^{81} +(-1.98161e8 + 8.68201e8i) q^{82} +(3.75593e8 + 5.66115e7i) q^{83} +(-7.15146e6 - 8.96765e6i) q^{84} +3.11797e8 q^{85} +(-6.02162e8 + 3.45151e8i) q^{86} -9.14180e7 q^{87} +(5.97114e7 + 7.48758e7i) q^{88} +(-1.32097e7 - 1.99105e6i) q^{89} +(1.54823e8 - 6.78322e8i) q^{90} +(1.55103e8 + 1.05748e8i) q^{91} +(1.97709e8 + 3.42442e8i) q^{92} +(-6.93588e7 + 1.20133e8i) q^{93} +(9.81103e7 - 4.72474e7i) q^{94} +(5.56474e8 + 1.71649e8i) q^{95} +(1.19356e7 + 1.59269e8i) q^{96} +(2.57688e7 + 1.12900e8i) q^{97} +(4.37782e8 - 1.11545e9i) q^{98} +(-6.80410e7 + 9.07944e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + O(q^{10}) \) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + 6223q^{10} + 180668q^{11} - 270774q^{12} + 11245q^{13} - 271206q^{14} - 835123q^{15} - 6169448q^{16} - 65194q^{17} - 466218q^{18} - 1417919q^{19} + 5877261q^{20} + 3242929q^{21} - 4296822q^{22} - 2544899q^{23} - 6043976q^{24} + 9428207q^{25} - 11482629q^{26} + 20117988q^{27} + 7310292q^{28} - 5289921q^{29} + 23977480q^{30} - 47539873q^{31} + 18747558q^{32} - 68064193q^{33} - 73743233q^{34} - 15006505q^{35} - 203628199q^{36} + 62563960q^{37} + 108303102q^{38} + 70931426q^{39} + 14772713q^{40} - 35636128q^{41} + 29601006q^{42} - 207110915q^{43} + 367809332q^{44} + 122079484q^{45} + 164249271q^{46} + 25529106q^{47} + 191670995q^{48} - 815972056q^{49} - 210640197q^{50} - 392161947q^{51} - 873472922q^{52} + 87568125q^{53} + 627150582q^{54} + 628156420q^{55} + 725546751q^{56} - 402646583q^{57} - 677654606q^{58} + 552834314q^{59} + 990764675q^{60} + 376844345q^{61} + 76529685q^{62} - 505887225q^{63} + 621236102q^{64} + 8885906q^{65} + 895281647q^{66} + 789662056q^{67} - 2265959151q^{68} - 2055955619q^{69} + 3236566615q^{70} + 635670789q^{71} - 1964730073q^{72} + 1333013552q^{73} - 5184014638q^{74} + 720042326q^{75} + 477329288q^{76} + 2282266995q^{77} + 5133145036q^{78} + 2903853142q^{79} + 6779574014q^{80} + 3699743739q^{81} - 1268184088q^{82} - 3074947634q^{83} - 1313116801q^{84} + 1946616146q^{85} - 10088814540q^{86} - 6085081326q^{87} - 8012630430q^{88} - 1632065068q^{89} + 3316166089q^{90} + 5386571784q^{91} + 2280339030q^{92} + 2459095364q^{93} - 5048567488q^{94} - 1597173221q^{95} - 10288936616q^{96} - 4337315288q^{97} - 14989446392q^{98} - 5338096561q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −19.3029 24.2051i −0.853075 1.06972i −0.996787 0.0801031i \(-0.974475\pi\)
0.143711 0.989620i \(-0.454096\pi\)
\(3\) −19.7836 2.98190i −0.141013 0.0212544i 0.0781562 0.996941i \(-0.475097\pi\)
−0.219170 + 0.975687i \(0.570335\pi\)
\(4\) −99.3527 + 435.293i −0.194048 + 0.850181i
\(5\) −962.959 656.534i −0.689037 0.469778i 0.167494 0.985873i \(-0.446433\pi\)
−0.856531 + 0.516095i \(0.827385\pi\)
\(6\) 309.704 + 536.424i 0.0975588 + 0.168977i
\(7\) 642.011 1112.00i 0.101065 0.175050i −0.811059 0.584965i \(-0.801108\pi\)
0.912124 + 0.409915i \(0.134442\pi\)
\(8\) −1827.39 + 880.025i −0.157734 + 0.0759609i
\(9\) −18426.0 5683.68i −0.936140 0.288761i
\(10\) 2696.44 + 35981.5i 0.0852689 + 1.13783i
\(11\) −10507.0 46034.1i −0.216377 0.948008i −0.960130 0.279554i \(-0.909813\pi\)
0.743753 0.668454i \(-0.233044\pi\)
\(12\) 3263.56 8315.41i 0.0454334 0.115763i
\(13\) −10925.4 + 145790.i −0.106095 + 1.41574i 0.649333 + 0.760504i \(0.275048\pi\)
−0.755428 + 0.655232i \(0.772571\pi\)
\(14\) −39308.6 + 5924.82i −0.273471 + 0.0412191i
\(15\) 17093.1 + 15860.1i 0.0871787 + 0.0808900i
\(16\) 262538. + 126431.i 1.00150 + 0.482298i
\(17\) −221042. + 150704.i −0.641882 + 0.437628i −0.840027 0.542545i \(-0.817461\pi\)
0.198144 + 0.980173i \(0.436508\pi\)
\(18\) 218102. + 555715.i 0.489704 + 1.24774i
\(19\) −477466. + 147279.i −0.840526 + 0.259268i −0.684981 0.728561i \(-0.740190\pi\)
−0.155545 + 0.987829i \(0.549713\pi\)
\(20\) 381457. 353940.i 0.533102 0.494647i
\(21\) −16017.2 + 20084.9i −0.0179721 + 0.0225363i
\(22\) −911442. + 1.14291e6i −0.829521 + 1.04019i
\(23\) 649206. 602376.i 0.483735 0.448841i −0.400215 0.916421i \(-0.631065\pi\)
0.883950 + 0.467581i \(0.154874\pi\)
\(24\) 38776.6 11961.0i 0.0238572 0.00735896i
\(25\) −217304. 553682.i −0.111260 0.283485i
\(26\) 3.73974e6 2.54971e6i 1.60495 1.09424i
\(27\) 702387. + 338252.i 0.254355 + 0.122491i
\(28\) 420258. + 389942.i 0.129213 + 0.119892i
\(29\) 4.51824e6 681016.i 1.18626 0.178799i 0.473875 0.880592i \(-0.342855\pi\)
0.712381 + 0.701793i \(0.247617\pi\)
\(30\) 53947.9 719885.i 0.0121599 0.162262i
\(31\) 2.53306e6 6.45413e6i 0.492627 1.25519i −0.441181 0.897418i \(-0.645440\pi\)
0.933808 0.357775i \(-0.116464\pi\)
\(32\) −1.77637e6 7.78280e6i −0.299474 1.31208i
\(33\) 70597.0 + 942052.i 0.0103627 + 0.138281i
\(34\) 7.91456e6 + 2.44132e6i 1.01571 + 0.313307i
\(35\) −1.34829e6 + 649304.i −0.151872 + 0.0731378i
\(36\) 4.30474e6 7.45603e6i 0.427155 0.739854i
\(37\) 9.90493e6 + 1.71558e7i 0.868848 + 1.50489i 0.863175 + 0.504905i \(0.168472\pi\)
0.00567304 + 0.999984i \(0.498194\pi\)
\(38\) 1.27814e7 + 8.71419e6i 0.994378 + 0.677955i
\(39\) 650876. 2.85167e6i 0.0450513 0.197383i
\(40\) 2.33747e6 + 352317.i 0.144370 + 0.0217602i
\(41\) −1.79343e7 2.24889e7i −0.991189 1.24291i −0.969992 0.243136i \(-0.921824\pi\)
−0.0211969 0.999775i \(-0.506748\pi\)
\(42\) 795334. 0.0394392
\(43\) 3.41067e6 2.21576e7i 0.152136 0.988360i
\(44\) 2.10822e7 0.847966
\(45\) 1.40120e7 + 1.75705e7i 0.509382 + 0.638745i
\(46\) −2.71121e7 4.08649e6i −0.892798 0.134568i
\(47\) −782677. + 3.42913e6i −0.0233960 + 0.102505i −0.985278 0.170961i \(-0.945313\pi\)
0.961882 + 0.273466i \(0.0881700\pi\)
\(48\) −4.81694e6 3.28414e6i −0.130974 0.0892967i
\(49\) 1.93524e7 + 3.35194e7i 0.479572 + 0.830643i
\(50\) −9.20731e6 + 1.59475e7i −0.208338 + 0.360851i
\(51\) 4.82241e6 2.32235e6i 0.0998155 0.0480686i
\(52\) −6.23758e7 1.92404e7i −1.18304 0.364921i
\(53\) 5.69243e6 + 7.59602e7i 0.0990960 + 1.32234i 0.796051 + 0.605230i \(0.206919\pi\)
−0.696955 + 0.717115i \(0.745462\pi\)
\(54\) −5.37070e6 2.35306e7i −0.0859526 0.376583i
\(55\) −2.01052e7 + 5.12271e7i −0.296262 + 0.754862i
\(56\) −194621. + 2.59704e6i −0.00264450 + 0.0352884i
\(57\) 9.88519e6 1.48995e6i 0.124036 0.0186954i
\(58\) −1.03699e8 9.62188e7i −1.20323 1.11644i
\(59\) 7.59715e7 + 3.65860e7i 0.816238 + 0.393080i 0.794936 0.606694i \(-0.207504\pi\)
0.0213023 + 0.999773i \(0.493219\pi\)
\(60\) −8.60202e6 + 5.86476e6i −0.0856880 + 0.0584211i
\(61\) 4.36952e7 + 1.11333e8i 0.404063 + 1.02954i 0.977622 + 0.210371i \(0.0674673\pi\)
−0.573558 + 0.819165i \(0.694437\pi\)
\(62\) −2.05118e8 + 6.32706e7i −1.76296 + 0.543800i
\(63\) −1.81499e7 + 1.68407e7i −0.145159 + 0.134688i
\(64\) −6.10731e7 + 7.65833e7i −0.455030 + 0.570590i
\(65\) 1.06237e8 1.33217e8i 0.738184 0.925654i
\(66\) 2.14397e7 1.98931e7i 0.139082 0.129049i
\(67\) −7.51250e7 + 2.31730e7i −0.455458 + 0.140490i −0.513991 0.857795i \(-0.671834\pi\)
0.0585337 + 0.998285i \(0.481357\pi\)
\(68\) −4.36392e7 1.11191e8i −0.247507 0.630637i
\(69\) −1.46399e7 + 9.98131e6i −0.0777530 + 0.0530111i
\(70\) 4.17424e7 + 2.01021e7i 0.207796 + 0.100069i
\(71\) −1.42019e8 1.31775e8i −0.663262 0.615417i 0.274958 0.961456i \(-0.411336\pi\)
−0.938220 + 0.346039i \(0.887526\pi\)
\(72\) 3.86733e7 5.82907e6i 0.169596 0.0255625i
\(73\) 1.63794e7 2.18567e8i 0.0675063 0.900809i −0.855939 0.517078i \(-0.827020\pi\)
0.923445 0.383731i \(-0.125361\pi\)
\(74\) 2.24065e8 5.70907e8i 0.868621 2.21321i
\(75\) 2.64804e6 + 1.16018e7i 0.00966382 + 0.0423400i
\(76\) −1.66718e7 2.22470e8i −0.0573221 0.764910i
\(77\) −5.79353e7 1.78707e7i −0.187817 0.0579339i
\(78\) −8.15888e7 + 3.92911e7i −0.249577 + 0.120190i
\(79\) −3.12444e8 + 5.41168e8i −0.902505 + 1.56318i −0.0782738 + 0.996932i \(0.524941\pi\)
−0.824231 + 0.566253i \(0.808393\pi\)
\(80\) −1.69806e8 2.94113e8i −0.463499 0.802804i
\(81\) 3.00705e8 + 2.05017e8i 0.776172 + 0.529185i
\(82\) −1.98161e8 + 8.68201e8i −0.484012 + 2.12060i
\(83\) 3.75593e8 + 5.66115e7i 0.868693 + 0.130934i 0.568240 0.822863i \(-0.307624\pi\)
0.300452 + 0.953797i \(0.402862\pi\)
\(84\) −7.15146e6 8.96765e6i −0.0156725 0.0196527i
\(85\) 3.11797e8 0.647869
\(86\) −6.02162e8 + 3.45151e8i −1.18705 + 0.680402i
\(87\) −9.14180e7 −0.171078
\(88\) 5.97114e7 + 7.48758e7i 0.106142 + 0.133097i
\(89\) −1.32097e7 1.99105e6i −0.0223172 0.00336377i 0.137874 0.990450i \(-0.455973\pi\)
−0.160191 + 0.987086i \(0.551211\pi\)
\(90\) 1.54823e8 6.78322e8i 0.248739 1.08979i
\(91\) 1.55103e8 + 1.05748e8i 0.237102 + 0.161653i
\(92\) 1.97709e8 + 3.42442e8i 0.287728 + 0.498359i
\(93\) −6.93588e7 + 1.20133e8i −0.0961453 + 0.166529i
\(94\) 9.81103e7 4.72474e7i 0.129610 0.0624170i
\(95\) 5.56474e8 + 1.71649e8i 0.700952 + 0.216215i
\(96\) 1.19356e7 + 1.59269e8i 0.0143424 + 0.191386i
\(97\) 2.57688e7 + 1.12900e8i 0.0295543 + 0.129486i 0.987553 0.157287i \(-0.0502747\pi\)
−0.957999 + 0.286773i \(0.907418\pi\)
\(98\) 4.37782e8 1.11545e9i 0.479446 1.22161i
\(99\) −6.80410e7 + 9.07944e8i −0.0711889 + 0.949950i
\(100\) 2.62603e8 3.95811e7i 0.262603 0.0395811i
\(101\) 3.51573e8 + 3.26212e8i 0.336178 + 0.311928i 0.830139 0.557556i \(-0.188261\pi\)
−0.493961 + 0.869484i \(0.664451\pi\)
\(102\) −1.49299e8 7.18986e7i −0.136570 0.0657688i
\(103\) −1.33817e9 + 9.12346e8i −1.17150 + 0.798716i −0.983045 0.183366i \(-0.941301\pi\)
−0.188456 + 0.982082i \(0.560348\pi\)
\(104\) −1.08334e8 2.76030e8i −0.0908057 0.231369i
\(105\) 2.86103e7 8.82511e6i 0.0229705 0.00708547i
\(106\) 1.72874e9 1.60404e9i 1.33001 1.23406i
\(107\) 7.05437e8 8.84590e8i 0.520273 0.652402i −0.450394 0.892830i \(-0.648716\pi\)
0.970667 + 0.240428i \(0.0772879\pi\)
\(108\) −2.17023e8 + 2.72138e8i −0.153496 + 0.192478i
\(109\) −4.62898e8 + 4.29506e8i −0.314099 + 0.291441i −0.821429 0.570311i \(-0.806823\pi\)
0.507331 + 0.861752i \(0.330632\pi\)
\(110\) 1.62804e9 5.02185e8i 1.06023 0.327037i
\(111\) −1.44799e8 3.68941e8i −0.0905338 0.230676i
\(112\) 3.09143e8 2.10770e8i 0.185643 0.126569i
\(113\) 3.39521e8 + 1.63505e8i 0.195890 + 0.0943359i 0.529258 0.848461i \(-0.322471\pi\)
−0.333367 + 0.942797i \(0.608185\pi\)
\(114\) −2.26877e8 2.10511e8i −0.125811 0.116736i
\(115\) −1.02064e9 + 1.53837e8i −0.544167 + 0.0820199i
\(116\) −1.52459e8 + 2.03442e9i −0.0781791 + 1.04323i
\(117\) 1.02994e9 2.62423e9i 0.508129 1.29469i
\(118\) −5.80905e8 2.54511e9i −0.275827 1.20848i
\(119\) 2.56707e7 + 3.42552e8i 0.0117348 + 0.156590i
\(120\) −4.51930e7 1.39402e7i −0.0198955 0.00613696i
\(121\) 1.15699e8 5.57177e7i 0.0490677 0.0236298i
\(122\) 1.85139e9 3.20670e9i 0.756622 1.31051i
\(123\) 2.87746e8 + 4.98390e8i 0.113354 + 0.196334i
\(124\) 2.55777e9 + 1.74386e9i 0.971547 + 0.662390i
\(125\) −6.60784e8 + 2.89508e9i −0.242083 + 1.06063i
\(126\) 7.57977e8 + 1.14247e8i 0.267910 + 0.0403809i
\(127\) 1.07120e9 + 1.34325e9i 0.365389 + 0.458183i 0.930209 0.367031i \(-0.119626\pi\)
−0.564820 + 0.825214i \(0.691054\pi\)
\(128\) −1.05468e9 −0.347277
\(129\) −1.33547e8 + 4.28188e8i −0.0424601 + 0.136138i
\(130\) −5.27520e9 −1.61992
\(131\) −3.07917e9 3.86116e9i −0.913509 1.14550i −0.988935 0.148352i \(-0.952603\pi\)
0.0754258 0.997151i \(-0.475968\pi\)
\(132\) −4.17082e8 6.28650e7i −0.119575 0.0180230i
\(133\) −1.42765e8 + 6.25495e8i −0.0395631 + 0.173337i
\(134\) 2.01103e9 + 1.37110e9i 0.538825 + 0.367365i
\(135\) −4.54296e8 7.86864e8i −0.117716 0.203891i
\(136\) 2.71307e8 4.69918e8i 0.0680043 0.117787i
\(137\) −4.12546e9 + 1.98672e9i −1.00053 + 0.481830i −0.861118 0.508404i \(-0.830236\pi\)
−0.139412 + 0.990234i \(0.544521\pi\)
\(138\) 5.24190e8 + 1.61691e8i 0.123036 + 0.0379517i
\(139\) −5.36827e7 7.16346e8i −0.0121974 0.162763i −0.999976 0.00690083i \(-0.997803\pi\)
0.987779 0.155862i \(-0.0498157\pi\)
\(140\) −1.48681e8 6.51412e8i −0.0327098 0.143311i
\(141\) 2.57095e7 6.55068e7i 0.00547783 0.0139573i
\(142\) −4.48231e8 + 5.98122e9i −0.0925133 + 1.23450i
\(143\) 6.82609e9 1.02887e9i 1.36509 0.205754i
\(144\) −4.11893e9 3.82181e9i −0.798277 0.740692i
\(145\) −4.79799e9 2.31059e9i −0.901371 0.434077i
\(146\) −5.60661e9 + 3.82252e9i −1.02120 + 0.696245i
\(147\) −2.82910e8 7.20843e8i −0.0499713 0.127325i
\(148\) −8.45189e9 + 2.60706e9i −1.44803 + 0.446657i
\(149\) −6.86247e9 + 6.36744e9i −1.14062 + 1.05834i −0.142980 + 0.989726i \(0.545668\pi\)
−0.997643 + 0.0686176i \(0.978141\pi\)
\(150\) 2.29708e8 2.88045e8i 0.0370481 0.0464568i
\(151\) −6.91548e9 + 8.67173e9i −1.08249 + 1.35741i −0.153146 + 0.988204i \(0.548940\pi\)
−0.929349 + 0.369202i \(0.879631\pi\)
\(152\) 7.42908e8 6.89318e8i 0.112886 0.104743i
\(153\) 4.92949e9 1.52055e9i 0.727261 0.224330i
\(154\) 6.85758e8 + 1.74728e9i 0.0982489 + 0.250334i
\(155\) −6.67659e9 + 4.55202e9i −0.929100 + 0.633449i
\(156\) 1.17665e9 + 5.66643e8i 0.159069 + 0.0766035i
\(157\) 2.28642e9 + 2.12148e9i 0.300335 + 0.278671i 0.815916 0.578171i \(-0.196233\pi\)
−0.515580 + 0.856841i \(0.672424\pi\)
\(158\) 1.91301e10 2.88340e9i 2.44208 0.368084i
\(159\) 1.13889e8 1.51974e9i 0.0141317 0.188575i
\(160\) −3.39910e9 + 8.66077e9i −0.410038 + 1.04476i
\(161\) −2.53041e8 1.10865e9i −0.0296808 0.130040i
\(162\) −8.42022e8 1.12360e10i −0.0960519 1.28172i
\(163\) −6.18266e9 1.90710e9i −0.686012 0.211607i −0.0678944 0.997693i \(-0.521628\pi\)
−0.618117 + 0.786086i \(0.712104\pi\)
\(164\) 1.15711e10 5.57233e9i 1.24904 0.601505i
\(165\) 5.50507e8 9.53507e8i 0.0578210 0.100149i
\(166\) −5.87975e9 1.01840e10i −0.600997 1.04096i
\(167\) 1.16164e10 + 7.91990e9i 1.15570 + 0.787944i 0.980487 0.196586i \(-0.0629855\pi\)
0.175215 + 0.984530i \(0.443938\pi\)
\(168\) 1.15944e7 5.07985e7i 0.00112294 0.00491993i
\(169\) −1.06493e10 1.60512e9i −1.00422 0.151362i
\(170\) −6.01859e9 7.54707e9i −0.552681 0.693040i
\(171\) 9.63490e9 0.861717
\(172\) 9.30619e9 + 3.68606e9i 0.810763 + 0.321132i
\(173\) 1.58171e10 1.34252 0.671259 0.741223i \(-0.265754\pi\)
0.671259 + 0.741223i \(0.265754\pi\)
\(174\) 1.76463e9 + 2.21278e9i 0.145943 + 0.183006i
\(175\) −7.55203e8 1.13829e8i −0.0608685 0.00917445i
\(176\) 3.06168e9 1.34141e10i 0.240521 1.05379i
\(177\) −1.39390e9 9.50343e8i −0.106746 0.0727781i
\(178\) 2.06793e8 + 3.58175e8i 0.0154399 + 0.0267427i
\(179\) 8.74577e8 1.51481e9i 0.0636736 0.110286i −0.832431 0.554128i \(-0.813052\pi\)
0.896105 + 0.443842i \(0.146385\pi\)
\(180\) −9.04043e9 + 4.35364e9i −0.641893 + 0.309119i
\(181\) 1.22746e10 + 3.78620e9i 0.850066 + 0.262211i 0.689026 0.724737i \(-0.258039\pi\)
0.161041 + 0.986948i \(0.448515\pi\)
\(182\) −4.34315e8 5.79553e9i −0.0293416 0.391536i
\(183\) −5.32464e8 2.33288e9i −0.0350962 0.153767i
\(184\) −6.56248e8 + 1.67209e9i −0.0422073 + 0.107542i
\(185\) 1.72536e9 2.30233e10i 0.108295 1.44509i
\(186\) 4.24665e9 6.40079e8i 0.260159 0.0392126i
\(187\) 9.26001e9 + 8.59203e9i 0.553763 + 0.513817i
\(188\) −1.41491e9 6.81387e8i −0.0826076 0.0397817i
\(189\) 8.27075e8 5.63890e8i 0.0471484 0.0321452i
\(190\) −6.58677e9 1.67828e10i −0.366675 0.934273i
\(191\) 3.83665e9 1.18345e9i 0.208594 0.0643428i −0.188697 0.982035i \(-0.560426\pi\)
0.397291 + 0.917693i \(0.369950\pi\)
\(192\) 1.43661e9 1.33298e9i 0.0762929 0.0707895i
\(193\) −1.42587e9 + 1.78798e9i −0.0739727 + 0.0927588i −0.817441 0.576012i \(-0.804608\pi\)
0.743468 + 0.668771i \(0.233179\pi\)
\(194\) 2.23535e9 2.80304e9i 0.113302 0.142076i
\(195\) −2.49899e9 + 2.31872e9i −0.123768 + 0.114840i
\(196\) −1.65135e10 + 5.09373e9i −0.799256 + 0.246538i
\(197\) 6.27593e9 + 1.59908e10i 0.296879 + 0.756436i 0.999014 + 0.0443923i \(0.0141351\pi\)
−0.702135 + 0.712044i \(0.747770\pi\)
\(198\) 2.32902e10 1.58790e10i 1.07691 0.734226i
\(199\) 6.79997e9 + 3.27469e9i 0.307375 + 0.148024i 0.581212 0.813752i \(-0.302579\pi\)
−0.273837 + 0.961776i \(0.588293\pi\)
\(200\) 8.84353e8 + 8.20560e8i 0.0390832 + 0.0362639i
\(201\) 1.55535e9 2.34431e8i 0.0672117 0.0101305i
\(202\) 1.10961e9 1.48067e10i 0.0468909 0.625716i
\(203\) 2.14348e9 5.46149e9i 0.0885903 0.225724i
\(204\) 5.31782e8 + 2.32989e9i 0.0214980 + 0.0941889i
\(205\) 2.50526e9 + 3.34303e10i 0.0990740 + 1.32205i
\(206\) 4.79139e10 + 1.47795e10i 1.85378 + 0.571816i
\(207\) −1.53860e10 + 7.40951e9i −0.582451 + 0.280494i
\(208\) −2.13008e10 + 3.68940e10i −0.789060 + 1.36669i
\(209\) 1.17966e10 + 2.04323e10i 0.427659 + 0.740727i
\(210\) −7.65874e8 5.22164e8i −0.0271751 0.0185276i
\(211\) −1.38276e9 + 6.05827e9i −0.0480259 + 0.210415i −0.993248 0.116014i \(-0.962988\pi\)
0.945222 + 0.326429i \(0.105845\pi\)
\(212\) −3.36305e10 5.06898e9i −1.14346 0.172349i
\(213\) 2.41672e9 + 3.03047e9i 0.0804486 + 0.100879i
\(214\) −3.50285e10 −1.14172
\(215\) −1.78316e10 + 1.90977e10i −0.569136 + 0.609547i
\(216\) −1.58121e9 −0.0494250
\(217\) −5.55072e9 6.96038e9i −0.169934 0.213090i
\(218\) 1.93315e10 + 2.91375e9i 0.579711 + 0.0873773i
\(219\) −9.75790e8 + 4.27522e9i −0.0286654 + 0.125591i
\(220\) −2.03013e10 1.38412e10i −0.584280 0.398356i
\(221\) −1.95561e10 3.38722e10i −0.551465 0.955166i
\(222\) −6.13520e9 + 1.06265e10i −0.169528 + 0.293630i
\(223\) 6.17113e10 2.97186e10i 1.67106 0.804742i 0.673197 0.739463i \(-0.264921\pi\)
0.997867 0.0652785i \(-0.0207936\pi\)
\(224\) −9.79490e9 3.02133e9i −0.259946 0.0801828i
\(225\) 8.57103e8 + 1.14372e10i 0.0222952 + 0.297509i
\(226\) −2.59609e9 1.13742e10i −0.0661961 0.290024i
\(227\) 2.75773e9 7.02658e9i 0.0689343 0.175642i −0.892255 0.451532i \(-0.850878\pi\)
0.961189 + 0.275891i \(0.0889728\pi\)
\(228\) −3.33555e8 + 4.45098e9i −0.00817448 + 0.109081i
\(229\) −5.42173e10 + 8.17195e9i −1.30280 + 0.196366i −0.763534 0.645768i \(-0.776537\pi\)
−0.539268 + 0.842134i \(0.681299\pi\)
\(230\) 2.34249e10 + 2.17351e10i 0.551954 + 0.512138i
\(231\) 1.09288e9 + 5.26304e8i 0.0252534 + 0.0121614i
\(232\) −7.65728e9 + 5.22065e9i −0.173532 + 0.118312i
\(233\) −7.10553e9 1.81046e10i −0.157941 0.402427i 0.829896 0.557918i \(-0.188399\pi\)
−0.987837 + 0.155490i \(0.950304\pi\)
\(234\) −8.34005e10 + 2.57256e10i −1.81843 + 0.560912i
\(235\) 3.00503e9 2.78826e9i 0.0642752 0.0596386i
\(236\) −2.34736e10 + 2.94349e10i −0.492578 + 0.617674i
\(237\) 7.79498e9 9.77460e9i 0.160490 0.201248i
\(238\) 7.79597e9 7.23361e9i 0.157498 0.146136i
\(239\) 5.75939e10 1.77654e10i 1.14179 0.352195i 0.334526 0.942387i \(-0.391424\pi\)
0.807264 + 0.590191i \(0.200948\pi\)
\(240\) 2.48237e9 + 6.32498e9i 0.0482965 + 0.123058i
\(241\) −3.00036e10 + 2.04561e10i −0.572923 + 0.390613i −0.814841 0.579684i \(-0.803176\pi\)
0.241918 + 0.970297i \(0.422224\pi\)
\(242\) −3.58198e9 1.72499e9i −0.0671358 0.0323309i
\(243\) −1.65861e10 1.53897e10i −0.305153 0.283140i
\(244\) −5.28039e10 + 7.95890e9i −0.953699 + 0.143747i
\(245\) 3.37104e9 4.49834e10i 0.0597745 0.797636i
\(246\) 6.50924e9 1.65853e10i 0.113324 0.288745i
\(247\) −1.62552e10 7.12188e10i −0.277880 1.21747i
\(248\) 1.05091e9 + 1.40234e10i 0.0176413 + 0.235407i
\(249\) −7.26179e9 2.23996e9i −0.119714 0.0369270i
\(250\) 8.28307e10 3.98892e10i 1.34110 0.645840i
\(251\) 2.32123e10 4.02049e10i 0.369136 0.639362i −0.620295 0.784369i \(-0.712987\pi\)
0.989431 + 0.145007i \(0.0463204\pi\)
\(252\) −5.52738e9 9.57370e9i −0.0863410 0.149547i
\(253\) −3.45510e10 2.35565e10i −0.530174 0.361466i
\(254\) 1.18360e10 5.18571e10i 0.178425 0.781730i
\(255\) −6.16848e9 9.29749e8i −0.0913582 0.0137700i
\(256\) 5.16278e10 + 6.47393e10i 0.751284 + 0.942080i
\(257\) −6.27220e10 −0.896853 −0.448426 0.893820i \(-0.648015\pi\)
−0.448426 + 0.893820i \(0.648015\pi\)
\(258\) 1.29422e10 5.03275e9i 0.181852 0.0707158i
\(259\) 2.54363e10 0.351241
\(260\) 4.74333e10 + 5.94795e10i 0.643730 + 0.807211i
\(261\) −8.71240e10 1.31318e10i −1.16213 0.175163i
\(262\) −3.40227e10 + 1.49063e11i −0.446080 + 1.95440i
\(263\) 5.56738e10 + 3.79578e10i 0.717547 + 0.489215i 0.866215 0.499672i \(-0.166546\pi\)
−0.148668 + 0.988887i \(0.547499\pi\)
\(264\) −9.58037e8 1.65937e9i −0.0121385 0.0210245i
\(265\) 4.43889e10 7.68838e10i 0.552927 0.957698i
\(266\) 1.78959e10 8.61822e9i 0.219173 0.105548i
\(267\) 2.55399e8 + 7.87803e7i 0.00307553 + 0.000948674i
\(268\) −2.62316e9 3.50037e10i −0.0310612 0.414483i
\(269\) 1.93275e10 + 8.46794e10i 0.225056 + 0.986036i 0.953609 + 0.301046i \(0.0973359\pi\)
−0.728553 + 0.684989i \(0.759807\pi\)
\(270\) −1.02769e10 + 2.61850e10i −0.117686 + 0.299858i
\(271\) 4.31058e9 5.75206e10i 0.0485482 0.647831i −0.918856 0.394593i \(-0.870885\pi\)
0.967404 0.253238i \(-0.0814955\pi\)
\(272\) −7.70857e10 + 1.16188e10i −0.853913 + 0.128707i
\(273\) −2.75318e9 2.55458e9i −0.0299987 0.0278347i
\(274\) 1.27722e11 + 6.15077e10i 1.36895 + 0.659253i
\(275\) −2.32050e10 + 1.58209e10i −0.244672 + 0.166815i
\(276\) −2.89028e9 7.36430e9i −0.0299812 0.0763908i
\(277\) 8.56416e10 2.64169e10i 0.874029 0.269602i 0.174890 0.984588i \(-0.444043\pi\)
0.699139 + 0.714986i \(0.253567\pi\)
\(278\) −1.63030e10 + 1.51270e10i −0.163706 + 0.151897i
\(279\) −8.33575e10 + 1.04527e11i −0.823618 + 1.03278i
\(280\) 1.89245e9 2.37306e9i 0.0183999 0.0230727i
\(281\) 2.12734e10 1.97388e10i 0.203544 0.188861i −0.571814 0.820383i \(-0.693760\pi\)
0.775358 + 0.631522i \(0.217570\pi\)
\(282\) −2.08187e9 + 6.42170e8i −0.0196034 + 0.00604685i
\(283\) −5.25780e10 1.33966e11i −0.487265 1.24153i −0.937301 0.348520i \(-0.886684\pi\)
0.450037 0.893010i \(-0.351411\pi\)
\(284\) 7.14706e10 4.87278e10i 0.651921 0.444472i
\(285\) −1.04972e10 5.05520e9i −0.0942482 0.0453875i
\(286\) −1.56667e11 1.45366e11i −1.38462 1.28474i
\(287\) −3.65215e10 + 5.50474e9i −0.317746 + 0.0478925i
\(288\) −1.15034e10 + 1.53503e11i −0.0985283 + 1.31477i
\(289\) −1.71770e10 + 4.37663e10i −0.144846 + 0.369062i
\(290\) 3.66871e10 + 1.60737e11i 0.304595 + 1.33452i
\(291\) −1.73142e8 2.31042e9i −0.00141542 0.0188874i
\(292\) 9.35134e10 + 2.88451e10i 0.752751 + 0.232193i
\(293\) 2.72035e10 1.31005e10i 0.215636 0.103845i −0.322948 0.946417i \(-0.604674\pi\)
0.538584 + 0.842572i \(0.318960\pi\)
\(294\) −1.19871e10 + 2.07622e10i −0.0935729 + 0.162073i
\(295\) −4.91375e10 8.51087e10i −0.377759 0.654297i
\(296\) −3.31977e10 2.26338e10i −0.251360 0.171374i
\(297\) 8.19114e9 3.58877e10i 0.0610858 0.267634i
\(298\) 2.86590e11 + 4.31964e10i 2.10517 + 0.317304i
\(299\) 8.07274e10 + 1.01229e11i 0.584118 + 0.732461i
\(300\) −5.31327e9 −0.0378719
\(301\) −2.24495e10 1.80181e10i −0.157637 0.126520i
\(302\) 3.43389e11 2.37550
\(303\) −5.98266e9 7.50202e9i −0.0407758 0.0511313i
\(304\) −1.43973e11 2.17005e10i −0.966833 0.145727i
\(305\) 3.10176e10 1.35897e11i 0.205239 0.899209i
\(306\) −1.31958e11 8.99677e10i −0.860380 0.586597i
\(307\) −3.40812e10 5.90305e10i −0.218974 0.379274i 0.735520 0.677502i \(-0.236938\pi\)
−0.954495 + 0.298228i \(0.903604\pi\)
\(308\) 1.35350e10 2.34433e10i 0.0856998 0.148436i
\(309\) 2.91943e10 1.40592e10i 0.182174 0.0877301i
\(310\) 2.39060e11 + 7.37401e10i 1.47021 + 0.453499i
\(311\) 1.69797e10 + 2.26579e11i 0.102922 + 1.37340i 0.774551 + 0.632512i \(0.217976\pi\)
−0.671628 + 0.740888i \(0.734405\pi\)
\(312\) 1.32014e9 + 5.78391e9i 0.00788722 + 0.0345562i
\(313\) −3.68196e10 + 9.38147e10i −0.216835 + 0.552486i −0.997358 0.0726404i \(-0.976857\pi\)
0.780523 + 0.625127i \(0.214953\pi\)
\(314\) 7.21621e9 9.62936e10i 0.0418915 0.559003i
\(315\) 2.85341e10 4.30083e9i 0.163293 0.0246124i
\(316\) −2.04524e11 1.89771e11i −1.15386 1.07063i
\(317\) −1.54863e10 7.45782e9i −0.0861354 0.0414806i 0.390320 0.920679i \(-0.372364\pi\)
−0.476455 + 0.879199i \(0.658079\pi\)
\(318\) −3.89839e10 + 2.65787e10i −0.213778 + 0.145751i
\(319\) −7.88230e10 2.00838e11i −0.426182 1.08589i
\(320\) 1.09090e11 3.36499e10i 0.581583 0.179395i
\(321\) −1.65939e10 + 1.53969e10i −0.0872318 + 0.0809393i
\(322\) −2.19504e10 + 2.75250e10i −0.113787 + 0.142684i
\(323\) 8.33447e10 1.04511e11i 0.426056 0.534258i
\(324\) −1.19118e11 + 1.10526e11i −0.600518 + 0.557199i
\(325\) 8.30953e10 2.56315e10i 0.413144 0.127438i
\(326\) 7.31818e10 + 1.86464e11i 0.358859 + 0.914359i
\(327\) 1.04385e10 7.11688e9i 0.0504865 0.0344211i
\(328\) 5.25637e10 + 2.53133e10i 0.250757 + 0.120758i
\(329\) 3.31069e9 + 3.07187e9i 0.0155789 + 0.0144551i
\(330\) −3.37061e10 + 5.08037e9i −0.156457 + 0.0235821i
\(331\) −2.03990e10 + 2.72206e11i −0.0934079 + 1.24644i 0.731763 + 0.681559i \(0.238698\pi\)
−0.825171 + 0.564883i \(0.808921\pi\)
\(332\) −6.19588e10 + 1.57868e11i −0.279886 + 0.713138i
\(333\) −8.50003e10 3.72411e11i −0.378810 1.65968i
\(334\) −3.25277e10 4.34052e11i −0.143019 1.90846i
\(335\) 8.75562e10 + 2.70075e10i 0.379826 + 0.117161i
\(336\) −6.74447e9 + 3.24797e9i −0.0288683 + 0.0139022i
\(337\) 1.14879e11 1.98976e11i 0.485182 0.840360i −0.514673 0.857387i \(-0.672087\pi\)
0.999855 + 0.0170265i \(0.00541995\pi\)
\(338\) 1.66710e11 + 2.88749e11i 0.694761 + 1.20336i
\(339\) −6.22940e9 4.24713e9i −0.0256181 0.0174662i
\(340\) −3.09779e10 + 1.35723e11i −0.125718 + 0.550805i
\(341\) −3.23725e11 4.87937e10i −1.29653 0.195420i
\(342\) −1.85981e11 2.33213e11i −0.735109 0.921798i
\(343\) 1.01513e11 0.396002
\(344\) 1.32666e10 + 4.34921e10i 0.0510796 + 0.167455i
\(345\) 2.06507e10 0.0784781
\(346\) −3.05316e11 3.82855e11i −1.14527 1.43612i
\(347\) −6.63258e10 9.99701e9i −0.245584 0.0370158i 0.0250967 0.999685i \(-0.492011\pi\)
−0.270681 + 0.962669i \(0.587249\pi\)
\(348\) 9.08262e9 3.97936e10i 0.0331974 0.145448i
\(349\) 4.59445e10 + 3.13244e10i 0.165775 + 0.113023i 0.643366 0.765559i \(-0.277537\pi\)
−0.477591 + 0.878582i \(0.658490\pi\)
\(350\) 1.18224e10 + 2.04770e10i 0.0421113 + 0.0729389i
\(351\) −5.69876e10 + 9.87054e10i −0.200400 + 0.347103i
\(352\) −3.39610e11 + 1.63547e11i −1.17907 + 0.567808i
\(353\) 2.55403e11 + 7.87814e10i 0.875467 + 0.270046i 0.699744 0.714394i \(-0.253297\pi\)
0.175723 + 0.984440i \(0.443774\pi\)
\(354\) 3.90314e9 + 5.20838e10i 0.0132099 + 0.176274i
\(355\) 5.02442e10 + 2.20134e11i 0.167903 + 0.735631i
\(356\) 2.17911e9 5.55228e9i 0.00719042 0.0183209i
\(357\) 5.13597e8 6.85347e9i 0.00167346 0.0223308i
\(358\) −5.35480e10 + 8.07106e9i −0.172294 + 0.0259691i
\(359\) −7.33637e10 6.80716e10i −0.233107 0.216292i 0.554966 0.831873i \(-0.312731\pi\)
−0.788074 + 0.615581i \(0.788922\pi\)
\(360\) −4.10678e10 1.97772e10i −0.128867 0.0620589i
\(361\) −6.03342e10 + 4.11352e10i −0.186974 + 0.127477i
\(362\) −1.45289e11 3.70191e11i −0.444678 1.13302i
\(363\) −2.45509e9 + 7.57296e8i −0.00742144 + 0.00228921i
\(364\) −6.14411e10 + 5.70090e10i −0.183444 + 0.170211i
\(365\) −1.59270e11 + 1.99718e11i −0.469694 + 0.588978i
\(366\) −4.61893e10 + 5.79196e10i −0.134548 + 0.168718i
\(367\) −4.26366e11 + 3.95610e11i −1.22683 + 1.13833i −0.241014 + 0.970522i \(0.577480\pi\)
−0.985819 + 0.167813i \(0.946329\pi\)
\(368\) 2.46600e11 7.60661e10i 0.700936 0.216210i
\(369\) 2.02638e11 + 5.16314e11i 0.568987 + 1.44976i
\(370\) −5.90585e11 + 4.02654e11i −1.63823 + 1.11693i
\(371\) 8.81220e10 + 4.24373e10i 0.241491 + 0.116296i
\(372\) −4.54020e10 4.21269e10i −0.122923 0.114055i
\(373\) 6.50463e10 9.80414e9i 0.173993 0.0262253i −0.0614677 0.998109i \(-0.519578\pi\)
0.235461 + 0.971884i \(0.424340\pi\)
\(374\) 2.92257e10 3.89990e11i 0.0772402 1.03070i
\(375\) 2.17056e10 5.53049e10i 0.0566801 0.144418i
\(376\) −1.58746e9 6.95514e9i −0.00409599 0.0179457i
\(377\) 4.99214e10 + 6.66154e11i 0.127277 + 1.69840i
\(378\) −2.96139e10 9.13469e9i −0.0746076 0.0230134i
\(379\) 4.03621e11 1.94374e11i 1.00484 0.483906i 0.142263 0.989829i \(-0.454562\pi\)
0.862579 + 0.505923i \(0.168848\pi\)
\(380\) −1.30005e11 + 2.25175e11i −0.319841 + 0.553980i
\(381\) −1.71869e10 2.97685e10i −0.0417864 0.0723761i
\(382\) −1.02704e11 7.00224e10i −0.246775 0.168249i
\(383\) −4.17002e10 + 1.82701e11i −0.0990248 + 0.433856i −1.00000 1.46378e-5i \(-0.999995\pi\)
0.900975 + 0.433871i \(0.142852\pi\)
\(384\) 2.08654e10 + 3.14496e9i 0.0489708 + 0.00738116i
\(385\) 4.40566e10 + 5.52452e10i 0.102197 + 0.128151i
\(386\) 7.08016e10 0.162331
\(387\) −1.88782e11 + 3.88892e11i −0.427820 + 0.881312i
\(388\) −5.17049e10 −0.115821
\(389\) −3.70651e11 4.64782e11i −0.820715 1.02914i −0.998980 0.0451614i \(-0.985620\pi\)
0.178265 0.983983i \(-0.442952\pi\)
\(390\) 1.04363e11 + 1.57301e10i 0.228430 + 0.0344304i
\(391\) −5.27217e10 + 2.30989e11i −0.114076 + 0.499799i
\(392\) −6.48624e10 4.42224e10i −0.138741 0.0945922i
\(393\) 4.94036e10 + 8.55695e10i 0.104470 + 0.180947i
\(394\) 2.65915e11 4.60578e11i 0.555917 0.962876i
\(395\) 6.56166e11 3.15993e11i 1.35621 0.653116i
\(396\) −3.88461e11 1.19824e11i −0.793815 0.244859i
\(397\) 4.30044e10 + 5.73854e11i 0.0868871 + 1.15943i 0.854829 + 0.518909i \(0.173662\pi\)
−0.767942 + 0.640519i \(0.778719\pi\)
\(398\) −5.19950e10 2.27805e11i −0.103869 0.455081i
\(399\) 4.68958e9 1.19489e10i 0.00926309 0.0236020i
\(400\) 1.29523e10 1.72836e11i 0.0252974 0.337571i
\(401\) −3.38210e11 + 5.09769e10i −0.653185 + 0.0984519i −0.467271 0.884114i \(-0.654763\pi\)
−0.185914 + 0.982566i \(0.559525\pi\)
\(402\) −3.56971e10 3.31221e10i −0.0681735 0.0632558i
\(403\) 9.13272e11 + 4.39809e11i 1.72476 + 0.830599i
\(404\) −1.76928e11 + 1.20627e11i −0.330430 + 0.225283i
\(405\) −1.54966e11 3.94846e11i −0.286212 0.729257i
\(406\) −1.73571e11 + 5.35395e10i −0.317037 + 0.0977929i
\(407\) 6.85682e11 6.36220e11i 1.23865 1.14930i
\(408\) −6.76869e9 + 8.48767e9i −0.0120930 + 0.0151641i
\(409\) −1.79786e11 + 2.25445e11i −0.317688 + 0.398369i −0.914877 0.403732i \(-0.867713\pi\)
0.597189 + 0.802101i \(0.296284\pi\)
\(410\) 7.60824e11 7.05942e11i 1.32971 1.23379i
\(411\) 8.75409e10 2.70028e10i 0.151329 0.0466789i
\(412\) −2.64187e11 6.73138e11i −0.451725 1.15098i
\(413\) 8.94580e10 6.09914e10i 0.151302 0.103156i
\(414\) 4.76342e11 + 2.29394e11i 0.796925 + 0.383779i
\(415\) −3.24513e11 3.01104e11i −0.537052 0.498311i
\(416\) 1.15406e12 1.73947e11i 1.88934 0.284771i
\(417\) −1.07404e9 + 1.43320e10i −0.00173943 + 0.0232111i
\(418\) 2.66856e11 6.79938e11i 0.427547 1.08937i
\(419\) −1.28956e11 5.64994e11i −0.204399 0.895531i −0.968219 0.250102i \(-0.919536\pi\)
0.763820 0.645429i \(-0.223321\pi\)
\(420\) 9.98994e8 + 1.33307e10i 0.00156654 + 0.0209040i
\(421\) −9.47555e11 2.92282e11i −1.47006 0.453454i −0.546681 0.837341i \(-0.684109\pi\)
−0.923380 + 0.383888i \(0.874585\pi\)
\(422\) 1.73332e11 8.34723e10i 0.266056 0.128126i
\(423\) 3.39117e10 5.87368e10i 0.0515013 0.0892029i
\(424\) −7.72491e10 1.33799e11i −0.116077 0.201052i
\(425\) 1.31476e11 + 8.96385e10i 0.195477 + 0.133274i
\(426\) 2.67031e10 1.16994e11i 0.0392842 0.172115i
\(427\) 1.51855e11 + 2.28885e10i 0.221057 + 0.0333190i
\(428\) 3.14968e11 + 3.94958e11i 0.453701 + 0.568923i
\(429\) −1.38113e11 −0.196869
\(430\) 8.06461e11 + 6.29742e10i 1.13756 + 0.0888290i
\(431\) 3.43807e11 0.479917 0.239959 0.970783i \(-0.422866\pi\)
0.239959 + 0.970783i \(0.422866\pi\)
\(432\) 1.41637e11 + 1.77608e11i 0.195660 + 0.245349i
\(433\) 1.14271e12 + 1.72235e11i 1.56221 + 0.235465i 0.872497 0.488619i \(-0.162499\pi\)
0.689712 + 0.724084i \(0.257737\pi\)
\(434\) −6.13315e10 + 2.68711e11i −0.0829812 + 0.363565i
\(435\) 8.80318e10 + 6.00190e10i 0.117879 + 0.0803688i
\(436\) −1.40971e11 2.44169e11i −0.186827 0.323594i
\(437\) −2.21257e11 + 3.83228e11i −0.290222 + 0.502679i
\(438\) 1.22317e11 5.89050e10i 0.158802 0.0764749i
\(439\) 1.29470e12 + 3.99363e11i 1.66372 + 0.513189i 0.976910 0.213651i \(-0.0685356\pi\)
0.686807 + 0.726840i \(0.259012\pi\)
\(440\) −8.34115e9 1.11305e11i −0.0106094 0.141572i
\(441\) −1.66075e11 7.27623e11i −0.209089 0.916079i
\(442\) −4.42390e11 + 1.12719e12i −0.551321 + 1.40474i
\(443\) −4.00678e10 + 5.34667e11i −0.0494286 + 0.659579i 0.916378 + 0.400315i \(0.131099\pi\)
−0.965806 + 0.259264i \(0.916520\pi\)
\(444\) 1.74983e11 2.63745e10i 0.213684 0.0322078i
\(445\) 1.14132e10 + 1.05899e10i 0.0137971 + 0.0128019i
\(446\) −1.91055e12 9.20072e11i −2.28639 1.10107i
\(447\) 1.54752e11 1.05508e11i 0.183338 0.124997i
\(448\) 4.59506e10 + 1.17080e11i 0.0538940 + 0.137320i
\(449\) −1.41703e12 + 4.37096e11i −1.64540 + 0.507537i −0.972638 0.232326i \(-0.925366\pi\)
−0.672757 + 0.739863i \(0.734890\pi\)
\(450\) 2.60295e11 2.41518e11i 0.299233 0.277647i
\(451\) −8.46819e11 + 1.06188e12i −0.963821 + 1.20859i
\(452\) −1.04905e11 + 1.31546e11i −0.118215 + 0.148237i
\(453\) 1.62672e11 1.50937e11i 0.181497 0.168405i
\(454\) −2.23311e11 + 6.88823e10i −0.246694 + 0.0760950i
\(455\) −7.99312e10 2.03661e11i −0.0874309 0.222770i
\(456\) −1.67529e10 + 1.14219e10i −0.0181446 + 0.0123708i
\(457\) −1.19397e12 5.74986e11i −1.28047 0.616643i −0.334961 0.942232i \(-0.608723\pi\)
−0.945512 + 0.325589i \(0.894438\pi\)
\(458\) 1.24435e12 + 1.15459e12i 1.32145 + 1.22612i
\(459\) −2.06233e11 + 3.10847e10i −0.216871 + 0.0326881i
\(460\) 3.44393e10 4.59561e11i 0.0358628 0.478556i
\(461\) 1.50473e11 3.83398e11i 0.155168 0.395363i −0.832057 0.554689i \(-0.812837\pi\)
0.987226 + 0.159327i \(0.0509323\pi\)
\(462\) −8.35656e9 3.66125e10i −0.00853372 0.0373887i
\(463\) 1.35973e11 + 1.81443e12i 0.137511 + 1.83496i 0.459460 + 0.888198i \(0.348043\pi\)
−0.321950 + 0.946757i \(0.604338\pi\)
\(464\) 1.27231e12 + 3.92456e11i 1.27427 + 0.393061i
\(465\) 1.45661e11 7.01466e10i 0.144479 0.0695775i
\(466\) −3.01066e11 + 5.21461e11i −0.295750 + 0.512254i
\(467\) −5.93959e10 1.02877e11i −0.0577870 0.100090i 0.835685 0.549210i \(-0.185071\pi\)
−0.893472 + 0.449119i \(0.851738\pi\)
\(468\) 1.03998e12 + 7.09048e11i 1.00212 + 0.683233i
\(469\) −2.24628e10 + 9.84160e10i −0.0214381 + 0.0939265i
\(470\) −1.25496e11 1.89154e10i −0.118628 0.0178803i
\(471\) −3.89075e10 4.87885e10i −0.0364284 0.0456797i
\(472\) −1.71026e11 −0.158607
\(473\) −1.05584e12 + 7.58027e10i −0.969892 + 0.0696321i
\(474\) −3.87061e11 −0.352189
\(475\) 1.85301e11 + 2.32360e11i 0.167015 + 0.209431i
\(476\) −1.51661e11 2.28592e10i −0.135407 0.0204094i
\(477\) 3.26844e11 1.43200e12i 0.289074 1.26651i
\(478\) −1.54174e12 1.05114e12i −1.35078 0.920949i
\(479\) −9.19033e11 1.59181e12i −0.797666 1.38160i −0.921132 0.389249i \(-0.872734\pi\)
0.123467 0.992349i \(-0.460599\pi\)
\(480\) 9.30722e10 1.61206e11i 0.0800266 0.138610i
\(481\) −2.60936e12 + 1.25660e12i −2.22271 + 1.07040i
\(482\) 1.07430e12 + 3.31377e11i 0.906594 + 0.279647i
\(483\) 1.70020e9 + 2.26876e10i 0.00142147 + 0.0189682i
\(484\) 1.27585e10 + 5.58987e10i 0.0105681 + 0.0463017i
\(485\) 4.93087e10 1.25636e11i 0.0404656 0.103105i
\(486\) −5.23479e10 + 6.98534e11i −0.0425634 + 0.567969i
\(487\) 2.04361e12 3.08025e11i 1.64633 0.248145i 0.740586 0.671961i \(-0.234548\pi\)
0.905748 + 0.423816i \(0.139310\pi\)
\(488\) −1.77824e11 1.64997e11i −0.141939 0.131700i
\(489\) 1.16629e11 + 5.61655e10i 0.0922393 + 0.0444201i
\(490\) −1.15390e12 + 7.86713e11i −0.904241 + 0.616501i
\(491\) −3.41188e11 8.69332e11i −0.264927 0.675024i 0.735068 0.677993i \(-0.237150\pi\)
−0.999996 + 0.00296931i \(0.999055\pi\)
\(492\) −2.45534e11 + 7.57371e10i −0.188916 + 0.0582728i
\(493\) −8.96091e11 + 8.31451e11i −0.683189 + 0.633907i
\(494\) −1.41008e12 + 1.76819e12i −1.06530 + 1.33585i
\(495\) 6.61617e11 8.29641e11i 0.495317 0.621108i
\(496\) 1.48103e12 1.37419e12i 1.09874 1.01948i
\(497\) −2.37711e11 + 7.33241e10i −0.174761 + 0.0539068i
\(498\) 8.59550e10 + 2.19010e11i 0.0626238 + 0.159563i
\(499\) 2.75444e11 1.87794e11i 0.198875 0.135591i −0.459788 0.888029i \(-0.652075\pi\)
0.658663 + 0.752438i \(0.271122\pi\)
\(500\) −1.19456e12 5.75268e11i −0.854756 0.411629i
\(501\) −2.06197e11 1.91323e11i −0.146222 0.135674i
\(502\) −1.42123e12 + 2.14215e11i −0.998841 + 0.150551i
\(503\) −7.59909e9 + 1.01403e11i −0.00529305 + 0.0706308i −0.999225 0.0393678i \(-0.987466\pi\)
0.993932 + 0.109999i \(0.0350846\pi\)
\(504\) 1.83468e10 4.67469e10i 0.0126655 0.0322712i
\(505\) −1.24381e11 5.44949e11i −0.0851026 0.372859i
\(506\) 9.67483e10 + 1.29102e12i 0.0656094 + 0.875497i
\(507\) 2.05895e11 + 6.35101e10i 0.138391 + 0.0426881i
\(508\) −6.91132e11 + 3.32832e11i −0.460442 + 0.221737i
\(509\) −1.53668e10 + 2.66161e10i −0.0101474 + 0.0175758i −0.871055 0.491186i \(-0.836563\pi\)
0.860907 + 0.508762i \(0.169897\pi\)
\(510\) 9.65649e10 + 1.67255e11i 0.0632053 + 0.109475i
\(511\) −2.32530e11 1.58537e11i −0.150864 0.102857i
\(512\) 4.50291e11 1.97285e12i 0.289586 1.26876i
\(513\) −3.85183e11 5.80571e10i −0.245550 0.0370107i
\(514\) 1.21072e12 + 1.51819e12i 0.765083 + 0.959384i
\(515\) 1.88759e12 1.18243
\(516\) −1.73119e11 1.00674e11i −0.107503 0.0625162i
\(517\) 1.66080e11 0.102238
\(518\) −4.90994e11 6.15687e11i −0.299635 0.375730i
\(519\) −3.12920e11 4.71651e10i −0.189313 0.0285344i
\(520\) −7.69020e10 + 3.36930e11i −0.0461236 + 0.202080i
\(521\) −6.69830e11 4.56683e11i −0.398286 0.271547i 0.347570 0.937654i \(-0.387007\pi\)
−0.745856 + 0.666107i \(0.767959\pi\)
\(522\) 1.36389e12 + 2.36232e12i 0.804010 + 1.39259i
\(523\) 6.13579e11 1.06275e12i 0.358602 0.621117i −0.629125 0.777304i \(-0.716587\pi\)
0.987728 + 0.156187i \(0.0499202\pi\)
\(524\) 1.98666e12 9.56723e11i 1.15115 0.554365i
\(525\) 1.46012e10 + 4.50389e9i 0.00838828 + 0.00258744i
\(526\) −1.55896e11 2.08028e12i −0.0887970 1.18491i
\(527\) 4.12751e11 + 1.80838e12i 0.233099 + 1.02127i
\(528\) −1.00571e11 + 2.56250e11i −0.0563143 + 0.143486i
\(529\) −7.59876e10 + 1.01398e12i −0.0421883 + 0.562964i
\(530\) −2.71781e12 + 4.09644e11i −1.49616 + 0.225510i
\(531\) −1.19191e12 1.10593e12i −0.650607 0.603675i
\(532\) −2.58089e11 1.24289e11i −0.139691 0.0672715i
\(533\) 3.47459e12 2.36893e12i 1.86479 1.27140i
\(534\) −3.02307e9 7.70265e9i −0.00160884 0.00409925i
\(535\) −1.26007e12 + 3.88680e11i −0.664971 + 0.205116i
\(536\) 1.16890e11 1.08458e11i 0.0611696 0.0567571i
\(537\) −2.18193e10 + 2.73606e10i −0.0113229 + 0.0141985i
\(538\) 1.67659e12 2.10238e12i 0.862795 1.08191i
\(539\) 1.33970e12 1.24306e12i 0.683688 0.634370i
\(540\) 3.87651e11 1.19575e11i 0.196187 0.0605156i
\(541\) −3.84606e11 9.79960e11i −0.193032 0.491836i 0.801287 0.598280i \(-0.204149\pi\)
−0.994319 + 0.106444i \(0.966054\pi\)
\(542\) −1.47550e12 + 1.00598e12i −0.734415 + 0.500716i
\(543\) −2.31546e11 1.11506e11i −0.114298 0.0550428i
\(544\) 1.56556e12 + 1.45262e12i 0.766431 + 0.711144i
\(545\) 7.27737e11 1.09689e11i 0.353338 0.0532571i
\(546\) −8.68938e9 + 1.15952e11i −0.00418429 + 0.0558355i
\(547\) −4.69037e11 + 1.19509e12i −0.224008 + 0.570764i −0.998053 0.0623666i \(-0.980135\pi\)
0.774045 + 0.633131i \(0.218230\pi\)
\(548\) −4.54928e11 1.99317e12i −0.215491 0.944130i
\(549\) −1.72345e11 2.29978e12i −0.0809698 1.08047i
\(550\) 8.30870e11 + 2.56289e11i 0.387169 + 0.119426i
\(551\) −2.05701e12 + 9.90603e11i −0.950723 + 0.457844i
\(552\) 1.79690e10 3.11232e10i 0.00823755 0.0142678i
\(553\) 4.01184e11 + 6.94872e11i 0.182424 + 0.315967i
\(554\) −2.29255e12 1.56304e12i −1.03401 0.704978i
\(555\) −1.02787e11 + 4.50340e11i −0.0459854 + 0.201475i
\(556\) 3.17154e11 + 4.78032e10i 0.140745 + 0.0212139i
\(557\) −1.04277e12 1.30760e12i −0.459031 0.575606i 0.497417 0.867512i \(-0.334282\pi\)
−0.956447 + 0.291906i \(0.905711\pi\)
\(558\) 4.13912e12 1.80740
\(559\) 3.19309e12 + 7.39322e11i 1.38312 + 0.320244i
\(560\) −4.36070e11 −0.187374
\(561\) −1.57576e11 1.97594e11i −0.0671672 0.0842250i
\(562\) −8.88416e11 1.33907e11i −0.375667 0.0566227i
\(563\) −7.64783e11 + 3.35073e12i −0.320812 + 1.40557i 0.515300 + 0.857010i \(0.327681\pi\)
−0.836112 + 0.548559i \(0.815177\pi\)
\(564\) 2.59603e10 + 1.76994e10i 0.0108032 + 0.00736553i
\(565\) −2.19598e11 3.80355e11i −0.0906590 0.157026i
\(566\) −2.22776e12 + 3.85859e12i −0.912419 + 1.58036i
\(567\) 4.21034e11 2.02759e11i 0.171078 0.0823867i
\(568\) 3.75490e11 + 1.15823e11i 0.151367 + 0.0466905i
\(569\) 3.39352e11 + 4.52834e12i 0.135720 + 1.81106i 0.485506 + 0.874233i \(0.338635\pi\)
−0.349786 + 0.936830i \(0.613746\pi\)
\(570\) 8.02655e10 + 3.51666e11i 0.0318487 + 0.139538i
\(571\) 1.12278e12 2.86080e12i 0.442011 1.12623i −0.520230 0.854026i \(-0.674154\pi\)
0.962241 0.272199i \(-0.0877509\pi\)
\(572\) −2.30332e11 + 3.07357e12i −0.0899647 + 1.20050i
\(573\) −7.94318e10 + 1.19724e10i −0.0307821 + 0.00463966i
\(574\) 8.38214e11 + 7.77749e11i 0.322293 + 0.299044i
\(575\) −4.74600e11 2.28555e11i −0.181060 0.0871938i
\(576\) 1.56061e12 1.06401e12i 0.590736 0.402757i
\(577\) −1.08288e12 2.75913e12i −0.406713 1.03629i −0.976695 0.214631i \(-0.931145\pi\)
0.569982 0.821657i \(-0.306950\pi\)
\(578\) 1.39093e12 4.29046e11i 0.518359 0.159893i
\(579\) 3.35404e10 3.11210e10i 0.0124027 0.0115080i
\(580\) 1.48248e12 1.85897e12i 0.543954 0.682096i
\(581\) 3.04087e11 3.81313e11i 0.110715 0.138832i
\(582\) −5.25817e10 + 4.87887e10i −0.0189968 + 0.0176265i
\(583\) 3.43695e12 1.06016e12i 1.23215 0.380068i
\(584\) 1.62413e11 + 4.13822e11i 0.0577781 + 0.147216i
\(585\) −2.71468e12 + 1.85084e12i −0.958336 + 0.653383i
\(586\) −8.42206e11 4.05585e11i −0.295039 0.142083i
\(587\) −1.20624e11 1.11923e11i −0.0419336 0.0389087i 0.658928 0.752206i \(-0.271010\pi\)
−0.700861 + 0.713298i \(0.747201\pi\)
\(588\) 3.41886e11 5.15310e10i 0.117946 0.0177775i
\(589\) −2.58894e11 + 3.45470e12i −0.0886345 + 1.18275i
\(590\) −1.11156e12 + 2.83222e12i −0.377660 + 0.962262i
\(591\) −7.64777e10 3.35071e11i −0.0257864 0.112978i
\(592\) 4.31379e11 + 5.75635e12i 0.144348 + 1.92619i
\(593\) −9.29988e11 2.86863e11i −0.308838 0.0952640i 0.136462 0.990645i \(-0.456427\pi\)
−0.445300 + 0.895381i \(0.646903\pi\)
\(594\) −1.02678e12 + 4.94470e11i −0.338406 + 0.162968i
\(595\) 2.00177e11 3.46717e11i 0.0654769 0.113409i
\(596\) −2.08989e12 3.61980e12i −0.678447 1.17511i
\(597\) −1.24763e11 8.50622e10i −0.0401978 0.0274064i
\(598\) 8.91981e11 3.90802e12i 0.285233 1.24969i
\(599\) 2.28477e12 + 3.44374e11i 0.725140 + 0.109297i 0.501232 0.865313i \(-0.332880\pi\)
0.223908 + 0.974610i \(0.428118\pi\)
\(600\) −1.50489e10 1.88707e10i −0.00474050 0.00594439i
\(601\) 5.52596e12 1.72772 0.863859 0.503734i \(-0.168041\pi\)
0.863859 + 0.503734i \(0.168041\pi\)
\(602\) −2.78869e9 + 8.91192e11i −0.000865398 + 0.276559i
\(603\) 1.51596e12 0.466940
\(604\) −3.08767e12 3.87182e12i −0.943984 1.18372i
\(605\) −1.47994e11 2.23065e10i −0.0449102 0.00676913i
\(606\) −6.61042e10 + 2.89622e11i −0.0199114 + 0.0872377i
\(607\) 3.83183e12 + 2.61250e12i 1.14566 + 0.781100i 0.978787 0.204878i \(-0.0656799\pi\)
0.166875 + 0.985978i \(0.446632\pi\)
\(608\) 1.99440e12 + 3.45440e12i 0.591897 + 1.02520i
\(609\) −5.86914e10 + 1.01656e11i −0.0172901 + 0.0299473i
\(610\) −3.88812e12 + 1.87242e12i −1.13699 + 0.547545i
\(611\) −4.91381e11 1.51571e11i −0.142637 0.0439978i
\(612\) 1.72124e11 + 2.29684e12i 0.0495976 + 0.661835i
\(613\) −1.28081e12 5.61158e12i −0.366363 1.60514i −0.736685 0.676236i \(-0.763610\pi\)
0.370322 0.928903i \(-0.379247\pi\)
\(614\) −7.70969e11 + 1.96440e12i −0.218917 + 0.557791i
\(615\) 5.01229e10 6.68844e11i 0.0141286 0.188533i
\(616\) 1.21597e11 1.83278e10i 0.0340259 0.00512858i
\(617\) −4.08332e12 3.78877e12i −1.13431 1.05248i −0.998088 0.0618036i \(-0.980315\pi\)
−0.136218 0.990679i \(-0.543495\pi\)
\(618\) −9.03840e11 4.35266e11i −0.249255 0.120035i
\(619\) 3.74952e12 2.55638e12i 1.02652 0.699869i 0.0718129 0.997418i \(-0.477122\pi\)
0.954707 + 0.297549i \(0.0961692\pi\)
\(620\) −1.31812e12 3.35853e12i −0.358256 0.912822i
\(621\) 6.59749e11 2.03506e11i 0.178019 0.0549116i
\(622\) 5.15659e12 4.78462e12i 1.38136 1.28171i
\(623\) −1.06948e10 + 1.34109e10i −0.00284432 + 0.00356666i
\(624\) 5.31421e11 6.66381e11i 0.140316 0.175951i
\(625\) 1.68543e12 1.56385e12i 0.441826 0.409954i
\(626\) 2.98152e12 9.19676e11i 0.775984 0.239359i
\(627\) −1.72452e11 4.39400e11i −0.0445620 0.113542i
\(628\) −1.15063e12 + 7.84484e11i −0.295200 + 0.201264i
\(629\) −4.77487e12 2.29946e12i −1.21628 0.585729i
\(630\) −6.54893e11 6.07652e11i −0.165630 0.153682i
\(631\) −4.12462e12 + 6.21686e11i −1.03574 + 0.156113i −0.644839 0.764319i \(-0.723076\pi\)
−0.390904 + 0.920432i \(0.627837\pi\)
\(632\) 9.47150e10 1.26388e12i 0.0236152 0.315123i
\(633\) 4.54212e10 1.15731e11i 0.0112445 0.0286506i
\(634\) 1.18414e11 + 5.18805e11i 0.0291072 + 0.127527i
\(635\) −1.49637e11 1.99677e12i −0.0365223 0.487357i
\(636\) 6.50218e11 + 2.00566e11i 0.157580 + 0.0486071i
\(637\) −5.09823e12 + 2.45518e12i −1.22685 + 0.590820i
\(638\) −3.33978e12 + 5.78466e12i −0.798040 + 1.38225i
\(639\) 1.86789e12 + 3.23528e12i 0.443198 + 0.767641i
\(640\) 1.01562e12 + 6.92435e11i 0.239287 + 0.163143i
\(641\) 1.09851e12 4.81290e12i 0.257007 1.12602i −0.667426 0.744676i \(-0.732604\pi\)
0.924433 0.381344i \(-0.124539\pi\)
\(642\) 6.92992e11 + 1.04452e11i 0.160998 + 0.0242665i
\(643\) 4.21388e12 + 5.28403e12i 0.972148 + 1.21903i 0.975716 + 0.219041i \(0.0702929\pi\)
−0.00356782 + 0.999994i \(0.501136\pi\)
\(644\) 5.07726e11 0.116317
\(645\) 4.09721e11 3.24649e11i 0.0932114 0.0738576i
\(646\) −4.13849e12 −0.934966
\(647\) −2.01562e12 2.52751e12i −0.452210 0.567053i 0.502506 0.864574i \(-0.332412\pi\)
−0.954715 + 0.297521i \(0.903840\pi\)
\(648\) −7.29925e11 1.10019e11i −0.162626 0.0245120i
\(649\) 8.85970e11 3.88169e12i 0.196028 0.858854i
\(650\) −2.22439e12 1.51657e12i −0.488766 0.333235i
\(651\) 8.90582e10 + 1.54253e11i 0.0194339 + 0.0336605i
\(652\) 1.44441e12 2.50179e12i 0.313023 0.542172i
\(653\) −8.17954e12 + 3.93906e12i −1.76043 + 0.847780i −0.787631 + 0.616147i \(0.788693\pi\)
−0.972803 + 0.231633i \(0.925593\pi\)
\(654\) −3.73759e11 1.15289e11i −0.0798898 0.0246428i
\(655\) 4.30132e11 + 5.73971e12i 0.0913095 + 1.21844i
\(656\) −1.86512e12 8.17163e12i −0.393224 1.72283i
\(657\) −1.54407e12 + 3.93424e12i −0.323314 + 0.823790i
\(658\) 1.04490e10 1.39432e11i 0.00217298 0.0289964i
\(659\) −7.64251e12 + 1.15192e12i −1.57853 + 0.237925i −0.879049 0.476731i \(-0.841822\pi\)
−0.699477 + 0.714655i \(0.746584\pi\)
\(660\) 3.60360e11 + 3.34365e11i 0.0739246 + 0.0685920i
\(661\) 3.49783e12 + 1.68447e12i 0.712676 + 0.343207i 0.754845 0.655904i \(-0.227712\pi\)
−0.0421682 + 0.999111i \(0.513427\pi\)
\(662\) 6.98253e12 4.76061e12i 1.41303 0.963388i
\(663\) 2.85888e11 + 7.28431e11i 0.0574626 + 0.146412i
\(664\) −7.36174e11 + 2.27080e11i −0.146969 + 0.0453338i
\(665\) 5.48136e11 5.08596e11i 0.108690 0.100850i
\(666\) −7.37347e12 + 9.24604e12i −1.45224 + 1.82105i
\(667\) 2.52305e12 3.16380e12i 0.493581 0.618932i
\(668\) −4.60159e12 + 4.26965e12i −0.894157 + 0.829656i
\(669\) −1.30949e12 + 4.03925e11i −0.252747 + 0.0779620i
\(670\) −1.03637e12 2.64063e12i −0.198691 0.506256i
\(671\) 4.66603e12 3.18124e12i 0.888579 0.605823i
\(672\) 1.84769e11 + 8.89803e10i 0.0349517 + 0.0168319i
\(673\) 2.63113e12 + 2.44133e12i 0.494395 + 0.458731i 0.887530 0.460749i \(-0.152419\pi\)
−0.393136 + 0.919480i \(0.628610\pi\)
\(674\) −7.03371e12 + 1.06016e12i −1.31285 + 0.197880i
\(675\) 3.46523e10 4.62402e11i 0.00642488 0.0857340i
\(676\) 1.75673e12 4.47607e12i 0.323552 0.824397i
\(677\) 1.43974e12 + 6.30793e12i 0.263412 + 1.15409i 0.917522 + 0.397685i \(0.130186\pi\)
−0.654109 + 0.756400i \(0.726956\pi\)
\(678\) 1.74433e10 + 2.32765e11i 0.00317027 + 0.0423043i
\(679\) 1.42089e11 + 4.38285e10i 0.0256534 + 0.00791303i
\(680\) −5.69775e11 + 2.74389e11i −0.102191 + 0.0492127i
\(681\) −7.55105e10 + 1.30788e11i −0.0134538 + 0.0233027i
\(682\) 5.06777e12 + 8.77764e12i 0.896990 + 1.55363i
\(683\) 2.98968e12 + 2.03833e12i 0.525691 + 0.358410i 0.796901 0.604110i \(-0.206471\pi\)
−0.271210 + 0.962520i \(0.587424\pi\)
\(684\) −9.57253e11 + 4.19400e12i −0.167215 + 0.732615i
\(685\) 5.27700e12 + 7.95380e11i 0.915756 + 0.138028i
\(686\) −1.95949e12 2.45713e12i −0.337820 0.423613i
\(687\) 1.09698e12 0.187886
\(688\) 3.69685e12 5.38599e12i 0.629048 0.916469i
\(689\) −1.11364e13 −1.88260
\(690\) −3.98618e11 4.99851e11i −0.0669477 0.0839498i
\(691\) −5.20311e12 7.84243e11i −0.868184 0.130858i −0.300179 0.953883i \(-0.597046\pi\)
−0.568005 + 0.823025i \(0.692285\pi\)
\(692\) −1.57147e12 + 6.88508e12i −0.260513 + 1.14138i
\(693\) 9.65946e11 + 6.58571e11i 0.159094 + 0.108468i
\(694\) 1.03830e12 + 1.79839e12i 0.169905 + 0.294284i
\(695\) −4.18612e11 + 7.25057e11i −0.0680581 + 0.117880i
\(696\) 1.67056e11 8.04501e10i 0.0269849 0.0129953i
\(697\) 7.35340e12 + 2.26822e12i 1.18016 + 0.364031i
\(698\) −1.28652e11 1.71674e12i −0.0205148 0.273751i
\(699\) 8.65871e10 + 3.79363e11i 0.0137185 + 0.0601046i
\(700\) 1.24580e11 3.17425e11i 0.0196114 0.0499690i
\(701\) −4.38156e11 + 5.84679e12i −0.0685327 + 0.914505i 0.851925 + 0.523663i \(0.175435\pi\)
−0.920458 + 0.390842i \(0.872184\pi\)
\(702\) 3.48919e12 5.25911e11i 0.542261 0.0817327i
\(703\) −7.25596e12 6.73255e12i −1.12046 1.03963i
\(704\) 4.16713e12 + 2.00679e12i 0.639382 + 0.307910i
\(705\) −6.77647e10 + 4.62012e10i −0.0103312 + 0.00704372i
\(706\) −3.02311e12 7.70276e12i −0.457965 1.16688i
\(707\) 5.88461e11 1.81516e11i 0.0885788 0.0273230i
\(708\) 5.52165e11 5.12334e11i 0.0825884 0.0766308i
\(709\) −5.09989e12 + 6.39505e12i −0.757971 + 0.950465i −0.999803 0.0198530i \(-0.993680\pi\)
0.241832 + 0.970318i \(0.422252\pi\)
\(710\) 4.35851e12 5.46539e12i 0.643687 0.807159i
\(711\) 8.83293e12 8.19576e12i 1.29626 1.20275i
\(712\) 2.58915e10 7.98647e9i 0.00377570 0.00116465i
\(713\) −2.24333e12 5.71592e12i −0.325080 0.828292i
\(714\) −1.75803e11 + 1.19860e11i −0.0253153 + 0.0172597i
\(715\) −7.24873e12 3.49081e12i −1.03725 0.499515i
\(716\) 5.72495e11 + 5.31198e11i 0.0814072 + 0.0755349i
\(717\) −1.19239e12 + 1.79724e11i −0.168493 + 0.0253963i
\(718\) −2.31545e11 + 3.08975e12i −0.0325143 + 0.433874i
\(719\) −2.93832e12 + 7.48671e12i −0.410033 + 1.04475i 0.565471 + 0.824768i \(0.308694\pi\)
−0.975505 + 0.219979i \(0.929401\pi\)
\(720\) 1.45721e12 + 6.38447e12i 0.202082 + 0.885377i
\(721\) 1.55408e11 + 2.07377e12i 0.0214173 + 0.285793i
\(722\) 2.16030e12 + 6.66365e11i 0.295868 + 0.0912631i
\(723\) 6.54578e11 3.15228e11i 0.0890921 0.0429045i
\(724\) −2.86762e12 + 4.96686e12i −0.387880 + 0.671828i
\(725\) −1.35890e12 2.35368e12i −0.182669 0.316393i
\(726\) 6.57208e10 + 4.48077e10i 0.00877987 + 0.00598601i
\(727\) −8.84177e11 + 3.87383e12i −0.117391 + 0.514323i 0.881705 + 0.471802i \(0.156396\pi\)
−0.999096 + 0.0425213i \(0.986461\pi\)
\(728\) −3.76495e11 5.67475e10i −0.0496784 0.00748782i
\(729\) −4.18414e12 5.24674e12i −0.548696 0.688043i
\(730\) 7.90855e12 1.03073
\(731\) 2.58534e12 + 5.41177e12i 0.334881 + 0.700989i
\(732\) 1.06839e12 0.137540
\(733\) −6.94513e12 8.70892e12i −0.888613 1.11429i −0.992807 0.119729i \(-0.961798\pi\)
0.104193 0.994557i \(-0.466774\pi\)
\(734\) 1.78059e13 + 2.68380e12i 2.26428 + 0.341286i
\(735\) −2.00827e11 + 8.79883e11i −0.0253822 + 0.111207i
\(736\) −5.84141e12 3.98260e12i −0.733782 0.500284i
\(737\) 1.85608e12 + 3.21483e12i 0.231736 + 0.401379i
\(738\) 8.58590e12 1.48712e13i 1.06545 1.84541i
\(739\) 8.66102e11 4.17093e11i 0.106824 0.0514437i −0.379709 0.925106i \(-0.623976\pi\)
0.486533 + 0.873662i \(0.338261\pi\)
\(740\) 9.85045e12 + 3.03846e12i 1.20757 + 0.372487i
\(741\) 1.09220e11 + 1.45744e12i 0.0133082 + 0.177586i
\(742\) −6.73812e11 2.95216e12i −0.0816058 0.357538i
\(743\) 8.68493e11 2.21288e12i 0.104548 0.266385i −0.869022 0.494774i \(-0.835251\pi\)
0.973570 + 0.228390i \(0.0733460\pi\)
\(744\) 2.10256e10 2.80567e11i 0.00251576 0.0335706i
\(745\) 1.07887e13 1.62614e12i 1.28312 0.193399i
\(746\) −1.49289e12 1.38520e12i −0.176483 0.163752i
\(747\) −6.59893e12 3.17788e12i −0.775409 0.373417i
\(748\) −4.66006e12 + 3.17717e12i −0.544294 + 0.371094i
\(749\) −5.30762e11 1.35236e12i −0.0616214 0.157009i