Properties

Label 43.10.c.a.6.3
Level 43
Weight 10
Character 43.6
Analytic conductor 22.147
Analytic rank 0
Dimension 64
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 6.3
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.3

$q$-expansion

\(f(q)\) \(=\) \(q-39.3582 q^{2} +(7.60021 - 13.1640i) q^{3} +1037.06 q^{4} +(95.5381 - 165.477i) q^{5} +(-299.130 + 518.109i) q^{6} +(4791.65 + 8299.38i) q^{7} -20665.6 q^{8} +(9725.97 + 16845.9i) q^{9} +O(q^{10})\) \(q-39.3582 q^{2} +(7.60021 - 13.1640i) q^{3} +1037.06 q^{4} +(95.5381 - 165.477i) q^{5} +(-299.130 + 518.109i) q^{6} +(4791.65 + 8299.38i) q^{7} -20665.6 q^{8} +(9725.97 + 16845.9i) q^{9} +(-3760.20 + 6512.86i) q^{10} +44302.8 q^{11} +(7881.91 - 13651.9i) q^{12} +(-65215.9 - 112957. i) q^{13} +(-188590. - 326648. i) q^{14} +(-1452.22 - 2515.32i) q^{15} +282381. q^{16} +(31290.6 + 54196.9i) q^{17} +(-382796. - 663023. i) q^{18} +(40500.1 - 70148.2i) q^{19} +(99079.1 - 171610. i) q^{20} +145670. q^{21} -1.74368e6 q^{22} +(416335. - 721113. i) q^{23} +(-157063. + 272040. i) q^{24} +(958307. + 1.65984e6i) q^{25} +(2.56678e6 + 4.44579e6i) q^{26} +594868. q^{27} +(4.96924e6 + 8.60698e6i) q^{28} +(-1.33601e6 - 2.31404e6i) q^{29} +(57156.6 + 98998.2i) q^{30} +(-4.79466e6 + 8.30460e6i) q^{31} -533235. q^{32} +(336711. - 583200. i) q^{33} +(-1.23154e6 - 2.13309e6i) q^{34} +1.83114e6 q^{35} +(1.00865e7 + 1.74703e7i) q^{36} +(1.97868e6 - 3.42718e6i) q^{37} +(-1.59401e6 + 2.76090e6i) q^{38} -1.98262e6 q^{39} +(-1.97435e6 + 3.41967e6i) q^{40} -2.10126e7 q^{41} -5.73331e6 q^{42} +(1.03443e7 + 1.98894e7i) q^{43} +4.59448e7 q^{44} +3.71680e6 q^{45} +(-1.63862e7 + 2.83817e7i) q^{46} +4.92712e7 q^{47} +(2.14616e6 - 3.71725e6i) q^{48} +(-2.57430e7 + 4.45881e7i) q^{49} +(-3.77172e7 - 6.53281e7i) q^{50} +951260. q^{51} +(-6.76331e7 - 1.17144e8i) q^{52} +(1.81981e7 - 3.15200e7i) q^{53} -2.34129e7 q^{54} +(4.23260e6 - 7.33109e6i) q^{55} +(-9.90220e7 - 1.71511e8i) q^{56} +(-615618. - 1.06628e6i) q^{57} +(5.25830e7 + 9.10765e7i) q^{58} +5.81888e7 q^{59} +(-1.50604e6 - 2.60854e6i) q^{60} +(3.00855e7 + 5.21096e7i) q^{61} +(1.88709e8 - 3.26854e8i) q^{62} +(-9.32069e7 + 1.61439e8i) q^{63} -1.23592e8 q^{64} -2.49224e7 q^{65} +(-1.32523e7 + 2.29537e7i) q^{66} +(-2.89139e7 + 5.00804e7i) q^{67} +(3.24503e7 + 5.62056e7i) q^{68} +(-6.32846e6 - 1.09612e7i) q^{69} -7.20702e7 q^{70} +(1.82602e8 + 3.16276e8i) q^{71} +(-2.00993e8 - 3.48129e8i) q^{72} +(3.71262e7 + 6.43045e7i) q^{73} +(-7.78774e7 + 1.34888e8i) q^{74} +2.91334e7 q^{75} +(4.20012e7 - 7.27481e7i) q^{76} +(2.12283e8 + 3.67686e8i) q^{77} +7.80322e7 q^{78} +(-1.03302e8 - 1.78925e8i) q^{79} +(2.69781e7 - 4.67275e7i) q^{80} +(-1.86915e8 + 3.23747e8i) q^{81} +8.27018e8 q^{82} +(-2.10207e8 + 3.64090e8i) q^{83} +1.51069e8 q^{84} +1.19578e7 q^{85} +(-4.07133e8 - 7.82810e8i) q^{86} -4.06159e7 q^{87} -9.15542e8 q^{88} +(2.92571e8 - 5.06748e8i) q^{89} -1.46286e8 q^{90} +(6.24983e8 - 1.08250e9i) q^{91} +(4.31766e8 - 7.47840e8i) q^{92} +(7.28809e7 + 1.26233e8i) q^{93} -1.93922e9 q^{94} +(-7.73859e6 - 1.34036e7i) q^{95} +(-4.05270e6 + 7.01949e6i) q^{96} -1.65328e9 q^{97} +(1.01320e9 - 1.75491e9i) q^{98} +(4.30888e8 + 7.46320e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} + O(q^{10}) \) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} - 6237q^{10} - 180682q^{11} + 274344q^{12} + 115245q^{13} - 171208q^{14} + 138833q^{15} + 4289206q^{16} + 65180q^{17} + 603985q^{18} + 39150q^{19} - 2709775q^{20} - 3105162q^{21} + 598456q^{22} + 1285907q^{23} - 292550q^{24} - 14709917q^{25} + 5332695q^{26} - 20118002q^{27} - 5475298q^{28} + 1274091q^{29} + 28424751q^{30} + 2899781q^{31} - 16322030q^{32} + 30668912q^{33} + 6822099q^{34} - 14750922q^{35} - 113819232q^{36} - 13772217q^{37} + 2700532q^{38} + 49876982q^{39} - 55802359q^{40} + 5375394q^{41} - 62768266q^{42} - 4250879q^{43} - 125171958q^{44} + 74719384q^{45} - 91405220q^{46} + 46104596q^{47} + 294588191q^{48} - 233221733q^{49} + 380339342q^{50} + 229598406q^{51} + 166281612q^{52} + 125396641q^{53} - 137752484q^{54} + 139471854q^{55} + 41104589q^{56} - 289586721q^{57} - 183782516q^{58} - 637949078q^{59} - 70735747q^{60} - 95573327q^{61} + 181277053q^{62} + 226632970q^{63} + 712599660q^{64} - 498753718q^{65} - 349240445q^{66} - 276270786q^{67} + 1034771928q^{68} - 199705103q^{69} + 1780847990q^{70} + 651945247q^{71} - 270063054q^{72} - 182725322q^{73} - 193737672q^{74} - 3155252572q^{75} + 492133584q^{76} + 216024528q^{77} + 2562586420q^{78} - 376932221q^{79} - 783129021q^{80} - 2146956496q^{81} + 2373824428q^{82} + 1008544071q^{83} - 9413139208q^{84} - 1131353054q^{85} - 1641459050q^{86} + 5060470018q^{87} + 369936980q^{88} + 2244184366q^{89} + 3302428348q^{90} + 3951711q^{91} + 4361095637q^{92} + 3133616089q^{93} + 3002217406q^{94} + 1515822931q^{95} + 69408612q^{96} - 6951085934q^{97} + 1120193981q^{98} + 1264470179q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −39.3582 −1.73940 −0.869700 0.493580i \(-0.835688\pi\)
−0.869700 + 0.493580i \(0.835688\pi\)
\(3\) 7.60021 13.1640i 0.0541726 0.0938298i −0.837667 0.546181i \(-0.816081\pi\)
0.891840 + 0.452351i \(0.149415\pi\)
\(4\) 1037.06 2.02552
\(5\) 95.5381 165.477i 0.0683615 0.118406i −0.829819 0.558033i \(-0.811556\pi\)
0.898180 + 0.439628i \(0.144890\pi\)
\(6\) −299.130 + 518.109i −0.0942279 + 0.163208i
\(7\) 4791.65 + 8299.38i 0.754299 + 1.30648i 0.945722 + 0.324977i \(0.105356\pi\)
−0.191423 + 0.981508i \(0.561310\pi\)
\(8\) −20665.6 −1.78378
\(9\) 9725.97 + 16845.9i 0.494131 + 0.855859i
\(10\) −3760.20 + 6512.86i −0.118908 + 0.205955i
\(11\) 44302.8 0.912356 0.456178 0.889889i \(-0.349218\pi\)
0.456178 + 0.889889i \(0.349218\pi\)
\(12\) 7881.91 13651.9i 0.109728 0.190054i
\(13\) −65215.9 112957.i −0.633299 1.09691i −0.986873 0.161499i \(-0.948367\pi\)
0.353574 0.935407i \(-0.384966\pi\)
\(14\) −188590. 326648.i −1.31203 2.27250i
\(15\) −1452.22 2515.32i −0.00740664 0.0128287i
\(16\) 282381. 1.07720
\(17\) 31290.6 + 54196.9i 0.0908643 + 0.157382i 0.907875 0.419241i \(-0.137704\pi\)
−0.817011 + 0.576622i \(0.804370\pi\)
\(18\) −382796. 663023.i −0.859491 1.48868i
\(19\) 40500.1 70148.2i 0.0712959 0.123488i −0.828174 0.560472i \(-0.810620\pi\)
0.899469 + 0.436984i \(0.143953\pi\)
\(20\) 99079.1 171610.i 0.138467 0.239832i
\(21\) 145670. 0.163450
\(22\) −1.74368e6 −1.58695
\(23\) 416335. 721113.i 0.310218 0.537314i −0.668191 0.743989i \(-0.732931\pi\)
0.978409 + 0.206676i \(0.0662646\pi\)
\(24\) −157063. + 272040.i −0.0966322 + 0.167372i
\(25\) 958307. + 1.65984e6i 0.490653 + 0.849837i
\(26\) 2.56678e6 + 4.44579e6i 1.10156 + 1.90796i
\(27\) 594868. 0.215419
\(28\) 4.96924e6 + 8.60698e6i 1.52784 + 2.64630i
\(29\) −1.33601e6 2.31404e6i −0.350768 0.607548i 0.635616 0.772005i \(-0.280746\pi\)
−0.986384 + 0.164457i \(0.947413\pi\)
\(30\) 57156.6 + 98998.2i 0.0128831 + 0.0223142i
\(31\) −4.79466e6 + 8.30460e6i −0.932461 + 1.61507i −0.153361 + 0.988170i \(0.549010\pi\)
−0.779100 + 0.626899i \(0.784324\pi\)
\(32\) −533235. −0.0898968
\(33\) 336711. 583200.i 0.0494247 0.0856061i
\(34\) −1.23154e6 2.13309e6i −0.158049 0.273750i
\(35\) 1.83114e6 0.206260
\(36\) 1.00865e7 + 1.74703e7i 1.00087 + 1.73356i
\(37\) 1.97868e6 3.42718e6i 0.173568 0.300628i −0.766097 0.642725i \(-0.777804\pi\)
0.939665 + 0.342097i \(0.111137\pi\)
\(38\) −1.59401e6 + 2.76090e6i −0.124012 + 0.214795i
\(39\) −1.98262e6 −0.137230
\(40\) −1.97435e6 + 3.41967e6i −0.121942 + 0.211210i
\(41\) −2.10126e7 −1.16132 −0.580661 0.814145i \(-0.697206\pi\)
−0.580661 + 0.814145i \(0.697206\pi\)
\(42\) −5.73331e6 −0.284304
\(43\) 1.03443e7 + 1.98894e7i 0.461417 + 0.887183i
\(44\) 4.59448e7 1.84799
\(45\) 3.71680e6 0.135118
\(46\) −1.63862e7 + 2.83817e7i −0.539594 + 0.934604i
\(47\) 4.92712e7 1.47283 0.736415 0.676530i \(-0.236517\pi\)
0.736415 + 0.676530i \(0.236517\pi\)
\(48\) 2.14616e6 3.71725e6i 0.0583547 0.101073i
\(49\) −2.57430e7 + 4.45881e7i −0.637934 + 1.10493i
\(50\) −3.77172e7 6.53281e7i −0.853443 1.47821i
\(51\) 951260. 0.0196894
\(52\) −6.76331e7 1.17144e8i −1.28276 2.22180i
\(53\) 1.81981e7 3.15200e7i 0.316799 0.548712i −0.663019 0.748602i \(-0.730725\pi\)
0.979818 + 0.199890i \(0.0640586\pi\)
\(54\) −2.34129e7 −0.374700
\(55\) 4.23260e6 7.33109e6i 0.0623700 0.108028i
\(56\) −9.90220e7 1.71511e8i −1.34551 2.33048i
\(57\) −615618. 1.06628e6i −0.00772457 0.0133793i
\(58\) 5.25830e7 + 9.10765e7i 0.610126 + 1.05677i
\(59\) 5.81888e7 0.625180 0.312590 0.949888i \(-0.398803\pi\)
0.312590 + 0.949888i \(0.398803\pi\)
\(60\) −1.50604e6 2.60854e6i −0.0150023 0.0259847i
\(61\) 3.00855e7 + 5.21096e7i 0.278210 + 0.481874i 0.970940 0.239323i \(-0.0769255\pi\)
−0.692730 + 0.721197i \(0.743592\pi\)
\(62\) 1.88709e8 3.26854e8i 1.62192 2.80925i
\(63\) −9.32069e7 + 1.61439e8i −0.745445 + 1.29115i
\(64\) −1.23592e8 −0.920832
\(65\) −2.49224e7 −0.173173
\(66\) −1.32523e7 + 2.29537e7i −0.0859694 + 0.148903i
\(67\) −2.89139e7 + 5.00804e7i −0.175295 + 0.303620i −0.940263 0.340448i \(-0.889421\pi\)
0.764968 + 0.644068i \(0.222755\pi\)
\(68\) 3.24503e7 + 5.62056e7i 0.184047 + 0.318779i
\(69\) −6.32846e6 1.09612e7i −0.0336107 0.0582154i
\(70\) −7.20702e7 −0.358769
\(71\) 1.82602e8 + 3.16276e8i 0.852792 + 1.47708i 0.878678 + 0.477415i \(0.158426\pi\)
−0.0258855 + 0.999665i \(0.508241\pi\)
\(72\) −2.00993e8 3.48129e8i −0.881422 1.52667i
\(73\) 3.71262e7 + 6.43045e7i 0.153013 + 0.265026i 0.932334 0.361599i \(-0.117769\pi\)
−0.779321 + 0.626625i \(0.784436\pi\)
\(74\) −7.78774e7 + 1.34888e8i −0.301904 + 0.522913i
\(75\) 2.91334e7 0.106320
\(76\) 4.20012e7 7.27481e7i 0.144411 0.250127i
\(77\) 2.12283e8 + 3.67686e8i 0.688189 + 1.19198i
\(78\) 7.80322e7 0.238698
\(79\) −1.03302e8 1.78925e8i −0.298393 0.516831i 0.677376 0.735637i \(-0.263117\pi\)
−0.975768 + 0.218806i \(0.929784\pi\)
\(80\) 2.69781e7 4.67275e7i 0.0736389 0.127546i
\(81\) −1.86915e8 + 3.23747e8i −0.482461 + 0.835647i
\(82\) 8.27018e8 2.02001
\(83\) −2.10207e8 + 3.64090e8i −0.486180 + 0.842088i −0.999874 0.0158856i \(-0.994943\pi\)
0.513694 + 0.857973i \(0.328277\pi\)
\(84\) 1.51069e8 0.331070
\(85\) 1.19578e7 0.0248465
\(86\) −4.07133e8 7.82810e8i −0.802589 1.54317i
\(87\) −4.06159e7 −0.0760081
\(88\) −9.15542e8 −1.62744
\(89\) 2.92571e8 5.06748e8i 0.494284 0.856125i −0.505694 0.862713i \(-0.668764\pi\)
0.999978 + 0.00658766i \(0.00209693\pi\)
\(90\) −1.46286e8 −0.235024
\(91\) 6.24983e8 1.08250e9i 0.955393 1.65479i
\(92\) 4.31766e8 7.47840e8i 0.628352 1.08834i
\(93\) 7.28809e7 + 1.26233e8i 0.101028 + 0.174985i
\(94\) −1.93922e9 −2.56184
\(95\) −7.73859e6 1.34036e7i −0.00974778 0.0168837i
\(96\) −4.05270e6 + 7.01949e6i −0.00486995 + 0.00843499i
\(97\) −1.65328e9 −1.89616 −0.948079 0.318035i \(-0.896977\pi\)
−0.948079 + 0.318035i \(0.896977\pi\)
\(98\) 1.01320e9 1.75491e9i 1.10962 1.92192i
\(99\) 4.30888e8 + 7.46320e8i 0.450823 + 0.780848i
\(100\) 9.93826e8 + 1.72136e9i 0.993826 + 1.72136i
\(101\) 4.71519e8 + 8.16695e8i 0.450872 + 0.780933i 0.998440 0.0558277i \(-0.0177797\pi\)
−0.547568 + 0.836761i \(0.684446\pi\)
\(102\) −3.74398e7 −0.0342478
\(103\) 3.91295e8 + 6.77742e8i 0.342560 + 0.593331i 0.984907 0.173083i \(-0.0553727\pi\)
−0.642348 + 0.766413i \(0.722039\pi\)
\(104\) 1.34772e9 + 2.33433e9i 1.12967 + 1.95664i
\(105\) 1.39170e7 2.41050e7i 0.0111736 0.0193533i
\(106\) −7.16242e8 + 1.24057e9i −0.551041 + 0.954430i
\(107\) 9.65883e8 0.712356 0.356178 0.934418i \(-0.384080\pi\)
0.356178 + 0.934418i \(0.384080\pi\)
\(108\) 6.16916e8 0.436334
\(109\) −8.01964e8 + 1.38904e9i −0.544171 + 0.942533i 0.454487 + 0.890753i \(0.349823\pi\)
−0.998659 + 0.0517792i \(0.983511\pi\)
\(110\) −1.66587e8 + 2.88538e8i −0.108486 + 0.187904i
\(111\) −3.00768e7 5.20946e7i −0.0188052 0.0325716i
\(112\) 1.35307e9 + 2.34359e9i 0.812530 + 1.40734i
\(113\) −2.58248e7 −0.0148999 −0.00744996 0.999972i \(-0.502371\pi\)
−0.00744996 + 0.999972i \(0.502371\pi\)
\(114\) 2.42296e7 + 4.19669e7i 0.0134361 + 0.0232721i
\(115\) −7.95516e7 1.37787e8i −0.0424139 0.0734631i
\(116\) −1.38553e9 2.39981e9i −0.710486 1.23060i
\(117\) 1.26858e9 2.19724e9i 0.625865 1.08403i
\(118\) −2.29020e9 −1.08744
\(119\) −2.99867e8 + 5.19384e8i −0.137078 + 0.237426i
\(120\) 3.00109e7 + 5.19804e7i 0.0132118 + 0.0228836i
\(121\) −3.95209e8 −0.167607
\(122\) −1.18411e9 2.05094e9i −0.483919 0.838172i
\(123\) −1.59700e8 + 2.76609e8i −0.0629119 + 0.108967i
\(124\) −4.97237e9 + 8.61241e9i −1.88871 + 3.27135i
\(125\) 7.39415e8 0.270890
\(126\) 3.66845e9 6.35394e9i 1.29663 2.24582i
\(127\) 3.11083e9 1.06111 0.530555 0.847651i \(-0.321984\pi\)
0.530555 + 0.847651i \(0.321984\pi\)
\(128\) 5.13737e9 1.69159
\(129\) 3.40442e8 + 1.49916e7i 0.108240 + 0.00476644i
\(130\) 9.80900e8 0.301217
\(131\) −4.01233e9 −1.19035 −0.595177 0.803595i \(-0.702918\pi\)
−0.595177 + 0.803595i \(0.702918\pi\)
\(132\) 3.49191e8 6.04816e8i 0.100111 0.173397i
\(133\) 7.76248e8 0.215114
\(134\) 1.13800e9 1.97107e9i 0.304909 0.528118i
\(135\) 5.68325e7 9.84368e7i 0.0147263 0.0255068i
\(136\) −6.46637e8 1.12001e9i −0.162082 0.280735i
\(137\) −4.66616e9 −1.13166 −0.565832 0.824521i \(-0.691445\pi\)
−0.565832 + 0.824521i \(0.691445\pi\)
\(138\) 2.49076e8 + 4.31413e8i 0.0584624 + 0.101260i
\(139\) −1.48265e9 + 2.56802e9i −0.336877 + 0.583489i −0.983844 0.179030i \(-0.942704\pi\)
0.646966 + 0.762519i \(0.276037\pi\)
\(140\) 1.89901e9 0.417783
\(141\) 3.74472e8 6.48604e8i 0.0797871 0.138195i
\(142\) −7.18688e9 1.24480e10i −1.48335 2.56923i
\(143\) −2.88925e9 5.00433e9i −0.577794 1.00077i
\(144\) 2.74643e9 + 4.75696e9i 0.532277 + 0.921930i
\(145\) −5.10561e8 −0.0959160
\(146\) −1.46122e9 2.53090e9i −0.266150 0.460986i
\(147\) 3.91304e8 + 6.77758e8i 0.0691172 + 0.119714i
\(148\) 2.05202e9 3.55421e9i 0.351564 0.608927i
\(149\) 1.83400e9 3.17658e9i 0.304833 0.527986i −0.672391 0.740196i \(-0.734733\pi\)
0.977224 + 0.212210i \(0.0680661\pi\)
\(150\) −1.14663e9 −0.184933
\(151\) 9.86174e8 0.154368 0.0771840 0.997017i \(-0.475407\pi\)
0.0771840 + 0.997017i \(0.475407\pi\)
\(152\) −8.36956e8 + 1.44965e9i −0.127176 + 0.220276i
\(153\) −6.08662e8 + 1.05423e9i −0.0897977 + 0.155534i
\(154\) −8.35508e9 1.44714e10i −1.19704 2.07333i
\(155\) 9.16146e8 + 1.58681e9i 0.127489 + 0.220817i
\(156\) −2.05610e9 −0.277961
\(157\) 2.37646e9 + 4.11615e9i 0.312163 + 0.540683i 0.978830 0.204673i \(-0.0656130\pi\)
−0.666667 + 0.745356i \(0.732280\pi\)
\(158\) 4.06579e9 + 7.04215e9i 0.519024 + 0.898977i
\(159\) −2.76618e8 4.79117e8i −0.0343237 0.0594504i
\(160\) −5.09443e7 + 8.82381e7i −0.00614548 + 0.0106443i
\(161\) 7.97971e9 0.935989
\(162\) 7.35664e9 1.27421e10i 0.839193 1.45352i
\(163\) 1.41021e9 + 2.44255e9i 0.156473 + 0.271019i 0.933594 0.358332i \(-0.116654\pi\)
−0.777121 + 0.629351i \(0.783321\pi\)
\(164\) −2.17914e10 −2.35228
\(165\) −6.43374e7 1.11436e8i −0.00675749 0.0117043i
\(166\) 8.27338e9 1.43299e10i 0.845661 1.46473i
\(167\) 4.58567e7 7.94262e7i 0.00456225 0.00790205i −0.863735 0.503946i \(-0.831881\pi\)
0.868298 + 0.496044i \(0.165214\pi\)
\(168\) −3.01035e9 −0.291558
\(169\) −3.20399e9 + 5.54947e9i −0.302135 + 0.523313i
\(170\) −4.70635e8 −0.0432180
\(171\) 1.57561e9 0.140918
\(172\) 1.07277e10 + 2.06266e10i 0.934607 + 1.79700i
\(173\) 1.42183e10 1.20681 0.603406 0.797434i \(-0.293810\pi\)
0.603406 + 0.797434i \(0.293810\pi\)
\(174\) 1.59857e9 0.132209
\(175\) −9.18374e9 + 1.59067e10i −0.740199 + 1.28206i
\(176\) 1.25103e10 0.982788
\(177\) 4.42247e8 7.65994e8i 0.0338676 0.0586605i
\(178\) −1.15151e10 + 1.99447e10i −0.859758 + 1.48914i
\(179\) −1.08990e10 1.88777e10i −0.793504 1.37439i −0.923785 0.382912i \(-0.874921\pi\)
0.130281 0.991477i \(-0.458412\pi\)
\(180\) 3.85456e9 0.273684
\(181\) 9.94971e9 + 1.72334e10i 0.689060 + 1.19349i 0.972142 + 0.234391i \(0.0753097\pi\)
−0.283082 + 0.959096i \(0.591357\pi\)
\(182\) −2.45982e10 + 4.26053e10i −1.66181 + 2.87834i
\(183\) 9.14624e8 0.0602855
\(184\) −8.60378e9 + 1.49022e10i −0.553362 + 0.958451i
\(185\) −3.78079e8 6.54853e8i −0.0237307 0.0411027i
\(186\) −2.86846e9 4.96832e9i −0.175728 0.304369i
\(187\) 1.38626e9 + 2.40107e9i 0.0829006 + 0.143588i
\(188\) 5.10974e10 2.98324
\(189\) 2.85040e9 + 4.93703e9i 0.162490 + 0.281441i
\(190\) 3.04577e8 + 5.27542e8i 0.0169553 + 0.0293674i
\(191\) −1.66707e10 + 2.88746e10i −0.906369 + 1.56988i −0.0872997 + 0.996182i \(0.527824\pi\)
−0.819069 + 0.573695i \(0.805510\pi\)
\(192\) −9.39325e8 + 1.62696e9i −0.0498839 + 0.0864014i
\(193\) 2.10190e10 1.09045 0.545223 0.838291i \(-0.316445\pi\)
0.545223 + 0.838291i \(0.316445\pi\)
\(194\) 6.50702e10 3.29818
\(195\) −1.89416e8 + 3.28077e8i −0.00938124 + 0.0162488i
\(196\) −2.66971e10 + 4.62407e10i −1.29215 + 2.23806i
\(197\) 9.56201e8 + 1.65619e9i 0.0452326 + 0.0783451i 0.887755 0.460316i \(-0.152264\pi\)
−0.842523 + 0.538661i \(0.818930\pi\)
\(198\) −1.69590e10 2.93738e10i −0.784162 1.35821i
\(199\) −3.49250e10 −1.57869 −0.789347 0.613947i \(-0.789581\pi\)
−0.789347 + 0.613947i \(0.789581\pi\)
\(200\) −1.98040e10 3.43015e10i −0.875219 1.51592i
\(201\) 4.39504e8 + 7.61243e8i 0.0189924 + 0.0328958i
\(202\) −1.85581e10 3.21436e10i −0.784247 1.35836i
\(203\) 1.28034e10 2.21762e10i 0.529168 0.916546i
\(204\) 9.86517e8 0.0398813
\(205\) −2.00751e9 + 3.47710e9i −0.0793897 + 0.137507i
\(206\) −1.54006e10 2.66747e10i −0.595849 1.03204i
\(207\) 1.61970e10 0.613153
\(208\) −1.84157e10 3.18970e10i −0.682188 1.18158i
\(209\) 1.79427e9 3.10776e9i 0.0650472 0.112665i
\(210\) −5.47749e8 + 9.48729e8i −0.0194355 + 0.0336632i
\(211\) 4.84815e10 1.68386 0.841929 0.539589i \(-0.181420\pi\)
0.841929 + 0.539589i \(0.181420\pi\)
\(212\) 1.88726e10 3.26882e10i 0.641681 1.11142i
\(213\) 5.55126e9 0.184792
\(214\) −3.80154e10 −1.23907
\(215\) 4.27951e9 + 1.88451e8i 0.136591 + 0.00601486i
\(216\) −1.22933e10 −0.384260
\(217\) −9.18974e10 −2.81342
\(218\) 3.15638e10 5.46702e10i 0.946532 1.63944i
\(219\) 1.12867e9 0.0331564
\(220\) 4.38948e9 7.60281e9i 0.126331 0.218812i
\(221\) 4.08129e9 7.06900e9i 0.115088 0.199339i
\(222\) 1.18377e9 + 2.05035e9i 0.0327098 + 0.0566551i
\(223\) 2.17273e10 0.588347 0.294174 0.955752i \(-0.404956\pi\)
0.294174 + 0.955752i \(0.404956\pi\)
\(224\) −2.55508e9 4.42552e9i −0.0678091 0.117449i
\(225\) −1.86409e10 + 3.22871e10i −0.484894 + 0.839861i
\(226\) 1.01642e9 0.0259169
\(227\) 4.11125e9 7.12089e9i 0.102768 0.177999i −0.810056 0.586352i \(-0.800563\pi\)
0.912824 + 0.408353i \(0.133897\pi\)
\(228\) −6.38435e8 1.10580e9i −0.0156462 0.0271001i
\(229\) 2.04806e10 + 3.54735e10i 0.492134 + 0.852401i 0.999959 0.00905924i \(-0.00288369\pi\)
−0.507825 + 0.861460i \(0.669550\pi\)
\(230\) 3.13100e9 + 5.42306e9i 0.0737748 + 0.127782i
\(231\) 6.45359e9 0.149124
\(232\) 2.76095e10 + 4.78210e10i 0.625694 + 1.08373i
\(233\) −2.79705e10 4.84464e10i −0.621726 1.07686i −0.989164 0.146814i \(-0.953098\pi\)
0.367438 0.930048i \(-0.380235\pi\)
\(234\) −4.99288e10 + 8.64793e10i −1.08863 + 1.88556i
\(235\) 4.70728e9 8.15324e9i 0.100685 0.174391i
\(236\) 6.03455e10 1.26631
\(237\) −3.14048e9 −0.0646589
\(238\) 1.18022e10 2.04420e10i 0.238433 0.412978i
\(239\) −5.03369e9 + 8.71861e9i −0.0997921 + 0.172845i −0.911599 0.411082i \(-0.865151\pi\)
0.811806 + 0.583927i \(0.198484\pi\)
\(240\) −4.10079e8 7.10278e8i −0.00797842 0.0138190i
\(241\) −2.85479e10 4.94464e10i −0.545126 0.944187i −0.998599 0.0529164i \(-0.983148\pi\)
0.453473 0.891270i \(-0.350185\pi\)
\(242\) 1.55547e10 0.291536
\(243\) 8.69558e9 + 1.50612e10i 0.159982 + 0.277096i
\(244\) 3.12006e10 + 5.40410e10i 0.563519 + 0.976043i
\(245\) 4.91886e9 + 8.51972e9i 0.0872203 + 0.151070i
\(246\) 6.28551e9 1.08868e10i 0.109429 0.189537i
\(247\) −1.05650e10 −0.180606
\(248\) 9.90844e10 1.71619e11i 1.66331 2.88093i
\(249\) 3.19524e9 + 5.53432e9i 0.0526753 + 0.0912362i
\(250\) −2.91020e10 −0.471187
\(251\) 2.57172e10 + 4.45435e10i 0.408970 + 0.708357i 0.994775 0.102095i \(-0.0325547\pi\)
−0.585805 + 0.810452i \(0.699221\pi\)
\(252\) −9.66615e10 + 1.67423e11i −1.50991 + 2.61524i
\(253\) 1.84448e10 3.19473e10i 0.283029 0.490221i
\(254\) −1.22437e11 −1.84569
\(255\) 9.08815e7 1.57411e8i 0.00134600 0.00233134i
\(256\) −1.38918e11 −2.02153
\(257\) 8.61497e9 0.123184 0.0615921 0.998101i \(-0.480382\pi\)
0.0615921 + 0.998101i \(0.480382\pi\)
\(258\) −1.33992e10 5.90041e8i −0.188273 0.00829075i
\(259\) 3.79246e10 0.523688
\(260\) −2.58461e10 −0.350765
\(261\) 2.59881e10 4.50126e10i 0.346650 0.600416i
\(262\) 1.57918e11 2.07050
\(263\) 6.73350e10 1.16628e11i 0.867840 1.50314i 0.00364143 0.999993i \(-0.498841\pi\)
0.864199 0.503150i \(-0.167826\pi\)
\(264\) −6.95831e9 + 1.20521e10i −0.0881630 + 0.152703i
\(265\) −3.47722e9 6.02271e9i −0.0433137 0.0750215i
\(266\) −3.05517e10 −0.374169
\(267\) −4.44721e9 7.70279e9i −0.0535533 0.0927571i
\(268\) −2.99856e10 + 5.19365e10i −0.355063 + 0.614988i
\(269\) −1.01520e11 −1.18213 −0.591067 0.806623i \(-0.701293\pi\)
−0.591067 + 0.806623i \(0.701293\pi\)
\(270\) −2.23682e9 + 3.87429e9i −0.0256150 + 0.0443665i
\(271\) −1.32189e10 2.28958e10i −0.148879 0.257865i 0.781935 0.623360i \(-0.214233\pi\)
−0.930813 + 0.365495i \(0.880900\pi\)
\(272\) 8.83586e9 + 1.53042e10i 0.0978789 + 0.169531i
\(273\) −9.50001e9 1.64545e10i −0.103512 0.179289i
\(274\) 1.83652e11 1.96842
\(275\) 4.24557e10 + 7.35354e10i 0.447650 + 0.775353i
\(276\) −6.56302e9 1.13675e10i −0.0680789 0.117916i
\(277\) 8.89754e10 1.54110e11i 0.908053 1.57279i 0.0912866 0.995825i \(-0.470902\pi\)
0.816766 0.576969i \(-0.195765\pi\)
\(278\) 5.83544e10 1.01073e11i 0.585965 1.01492i
\(279\) −1.86531e11 −1.84303
\(280\) −3.78415e10 −0.367923
\(281\) −5.73518e10 + 9.93363e10i −0.548743 + 0.950450i 0.449618 + 0.893221i \(0.351560\pi\)
−0.998361 + 0.0572295i \(0.981773\pi\)
\(282\) −1.47385e10 + 2.55278e10i −0.138782 + 0.240377i
\(283\) −9.40910e10 1.62970e11i −0.871985 1.51032i −0.859940 0.510395i \(-0.829499\pi\)
−0.0120455 0.999927i \(-0.503834\pi\)
\(284\) 1.89370e11 + 3.27999e11i 1.72734 + 2.99185i
\(285\) −2.35260e8 −0.00211225
\(286\) 1.13715e11 + 1.96961e11i 1.00501 + 1.74074i
\(287\) −1.00685e11 1.74392e11i −0.875985 1.51725i
\(288\) −5.18623e9 8.98282e9i −0.0444207 0.0769390i
\(289\) 5.73357e10 9.93084e10i 0.483487 0.837425i
\(290\) 2.00947e10 0.166836
\(291\) −1.25653e10 + 2.17637e10i −0.102720 + 0.177916i
\(292\) 3.85022e10 + 6.66878e10i 0.309930 + 0.536814i
\(293\) −5.92436e10 −0.469609 −0.234805 0.972043i \(-0.575445\pi\)
−0.234805 + 0.972043i \(0.575445\pi\)
\(294\) −1.54010e10 2.66753e10i −0.120222 0.208231i
\(295\) 5.55924e9 9.62889e9i 0.0427382 0.0740248i
\(296\) −4.08906e10 + 7.08246e10i −0.309607 + 0.536255i
\(297\) 2.63543e10 0.196538
\(298\) −7.21829e10 + 1.25024e11i −0.530226 + 0.918379i
\(299\) −1.08607e11 −0.785843
\(300\) 3.02132e10 0.215353
\(301\) −1.15503e11 + 1.81154e11i −0.811045 + 1.27204i
\(302\) −3.88140e10 −0.268508
\(303\) 1.43346e10 0.0976997
\(304\) 1.14364e10 1.98085e10i 0.0767998 0.133021i
\(305\) 1.14972e10 0.0760754
\(306\) 2.39558e10 4.14927e10i 0.156194 0.270536i
\(307\) 1.15530e11 2.00104e11i 0.742288 1.28568i −0.209164 0.977881i \(-0.567074\pi\)
0.951451 0.307799i \(-0.0995925\pi\)
\(308\) 2.20151e11 + 3.81314e11i 1.39394 + 2.41437i
\(309\) 1.18957e10 0.0742295
\(310\) −3.60578e10 6.24540e10i −0.221754 0.384089i
\(311\) −2.31448e10 + 4.00879e10i −0.140291 + 0.242992i −0.927606 0.373559i \(-0.878137\pi\)
0.787315 + 0.616551i \(0.211471\pi\)
\(312\) 4.09719e10 0.244788
\(313\) 1.02999e11 1.78399e11i 0.606574 1.05062i −0.385227 0.922822i \(-0.625877\pi\)
0.991801 0.127794i \(-0.0407898\pi\)
\(314\) −9.35331e10 1.62004e11i −0.542977 0.940464i
\(315\) 1.78096e10 + 3.08471e10i 0.101919 + 0.176530i
\(316\) −1.07131e11 1.85557e11i −0.604399 1.04685i
\(317\) 1.67309e11 0.930579 0.465290 0.885159i \(-0.345950\pi\)
0.465290 + 0.885159i \(0.345950\pi\)
\(318\) 1.08872e10 + 1.88572e10i 0.0597026 + 0.103408i
\(319\) −5.91891e10 1.02519e11i −0.320025 0.554300i
\(320\) −1.18077e10 + 2.04516e10i −0.0629494 + 0.109032i
\(321\) 7.34091e9 1.27148e10i 0.0385902 0.0668402i
\(322\) −3.14067e11 −1.62806
\(323\) 5.06908e9 0.0259130
\(324\) −1.93843e11 + 3.35746e11i −0.977232 + 1.69262i
\(325\) 1.24994e11 2.16496e11i 0.621460 1.07640i
\(326\) −5.55032e10 9.61344e10i −0.272169 0.471411i
\(327\) 1.21902e10 + 2.11140e10i 0.0589584 + 0.102119i
\(328\) 4.34238e11 2.07155
\(329\) 2.36090e11 + 4.08920e11i 1.11096 + 1.92423i
\(330\) 2.53220e9 + 4.38590e9i 0.0117540 + 0.0203585i
\(331\) 3.46244e10 + 5.99712e10i 0.158546 + 0.274610i 0.934345 0.356371i \(-0.115986\pi\)
−0.775798 + 0.630981i \(0.782653\pi\)
\(332\) −2.17999e11 + 3.77585e11i −0.984764 + 1.70566i
\(333\) 7.69785e10 0.343060
\(334\) −1.80484e9 + 3.12607e9i −0.00793558 + 0.0137448i
\(335\) 5.52476e9 + 9.56916e9i 0.0239669 + 0.0415119i
\(336\) 4.11345e10 0.176068
\(337\) 1.45798e11 + 2.52529e11i 0.615767 + 1.06654i 0.990250 + 0.139305i \(0.0444869\pi\)
−0.374483 + 0.927234i \(0.622180\pi\)
\(338\) 1.26103e11 2.18417e11i 0.525533 0.910250i
\(339\) −1.96274e8 + 3.39956e8i −0.000807168 + 0.00139806i
\(340\) 1.24010e10 0.0503269
\(341\) −2.12417e11 + 3.67917e11i −0.850736 + 1.47352i
\(342\) −6.20131e10 −0.245113
\(343\) −1.06684e11 −0.416175
\(344\) −2.13771e11 4.11025e11i −0.823068 1.58254i
\(345\) −2.41844e9 −0.00919070
\(346\) −5.59605e11 −2.09913
\(347\) −5.39635e10 + 9.34676e10i −0.199810 + 0.346081i −0.948467 0.316877i \(-0.897366\pi\)
0.748657 + 0.662958i \(0.230699\pi\)
\(348\) −4.21213e10 −0.153956
\(349\) −1.24094e11 + 2.14937e11i −0.447751 + 0.775528i −0.998239 0.0593150i \(-0.981108\pi\)
0.550488 + 0.834843i \(0.314442\pi\)
\(350\) 3.61455e11 6.26059e11i 1.28750 2.23002i
\(351\) −3.87949e10 6.71947e10i −0.136424 0.236294i
\(352\) −2.36238e10 −0.0820178
\(353\) 5.30440e9 + 9.18750e9i 0.0181824 + 0.0314928i 0.874973 0.484171i \(-0.160879\pi\)
−0.856791 + 0.515664i \(0.827545\pi\)
\(354\) −1.74060e10 + 3.01481e10i −0.0589094 + 0.102034i
\(355\) 6.97818e10 0.233193
\(356\) 3.03415e11 5.25530e11i 1.00118 1.73409i
\(357\) 4.55810e9 + 7.89486e9i 0.0148517 + 0.0257239i
\(358\) 4.28965e11 + 7.42990e11i 1.38022 + 2.39061i
\(359\) −2.58674e11 4.48037e11i −0.821918 1.42360i −0.904252 0.426999i \(-0.859571\pi\)
0.0823343 0.996605i \(-0.473762\pi\)
\(360\) −7.68098e10 −0.241021
\(361\) 1.58063e11 + 2.73774e11i 0.489834 + 0.848417i
\(362\) −3.91602e11 6.78275e11i −1.19855 2.07595i
\(363\) −3.00367e9 + 5.20251e9i −0.00907973 + 0.0157265i
\(364\) 6.48148e11 1.12263e12i 1.93516 3.35180i
\(365\) 1.41879e10 0.0418407
\(366\) −3.59979e10 −0.104861
\(367\) −1.32734e11 + 2.29902e11i −0.381931 + 0.661524i −0.991338 0.131333i \(-0.958074\pi\)
0.609407 + 0.792858i \(0.291408\pi\)
\(368\) 1.17565e11 2.03629e11i 0.334166 0.578793i
\(369\) −2.04368e11 3.53976e11i −0.573845 0.993929i
\(370\) 1.48805e10 + 2.57738e10i 0.0412772 + 0.0714942i
\(371\) 3.48795e11 0.955845
\(372\) 7.55822e10 + 1.30912e11i 0.204633 + 0.354435i
\(373\) −8.50532e10 1.47316e11i −0.227510 0.394059i 0.729559 0.683917i \(-0.239725\pi\)
−0.957070 + 0.289858i \(0.906392\pi\)
\(374\) −5.45606e10 9.45018e10i −0.144197 0.249757i
\(375\) 5.61971e9 9.73362e9i 0.0146748 0.0254176i
\(376\) −1.01822e12 −2.62721
\(377\) −1.74259e11 + 3.01825e11i −0.444282 + 0.769518i
\(378\) −1.12186e11 1.94312e11i −0.282636 0.489539i
\(379\) 4.69800e11 1.16960 0.584798 0.811179i \(-0.301174\pi\)
0.584798 + 0.811179i \(0.301174\pi\)
\(380\) −8.02542e9 1.39004e10i −0.0197443 0.0341981i
\(381\) 2.36430e10 4.09509e10i 0.0574831 0.0995636i
\(382\) 6.56130e11 1.13645e12i 1.57654 2.73065i
\(383\) −7.03223e11 −1.66993 −0.834966 0.550302i \(-0.814512\pi\)
−0.834966 + 0.550302i \(0.814512\pi\)
\(384\) 3.90451e10 6.76281e10i 0.0916380 0.158722i
\(385\) 8.11246e10 0.188182
\(386\) −8.27269e11 −1.89672
\(387\) −2.34446e11 + 3.67703e11i −0.531304 + 0.833292i
\(388\) −1.71456e12 −3.84070
\(389\) 3.17574e11 0.703188 0.351594 0.936153i \(-0.385640\pi\)
0.351594 + 0.936153i \(0.385640\pi\)
\(390\) 7.45505e9 1.29125e10i 0.0163177 0.0282631i
\(391\) 5.21094e10 0.112751
\(392\) 5.31992e11 9.21438e11i 1.13794 1.97096i
\(393\) −3.04946e10 + 5.28182e10i −0.0644846 + 0.111691i
\(394\) −3.76343e10 6.51845e10i −0.0786776 0.136274i
\(395\) −3.94772e10 −0.0815942
\(396\) 4.46858e11 + 7.73981e11i 0.913149 + 1.58162i
\(397\) −4.18814e11 + 7.25407e11i −0.846182 + 1.46563i 0.0384084 + 0.999262i \(0.487771\pi\)
−0.884591 + 0.466368i \(0.845562\pi\)
\(398\) 1.37459e12 2.74598
\(399\) 5.89965e9 1.02185e10i 0.0116533 0.0201841i
\(400\) 2.70608e11 + 4.68707e11i 0.528531 + 0.915443i
\(401\) 3.88729e11 + 6.73299e11i 0.750754 + 1.30034i 0.947458 + 0.319881i \(0.103643\pi\)
−0.196703 + 0.980463i \(0.563024\pi\)
\(402\) −1.72981e10 2.99611e10i −0.0330354 0.0572190i
\(403\) 1.25075e12 2.36211
\(404\) 4.88996e11 + 8.46965e11i 0.913248 + 1.58179i
\(405\) 3.57150e10 + 6.18603e10i 0.0659635 + 0.114252i
\(406\) −5.03918e11 + 8.72812e11i −0.920435 + 1.59424i
\(407\) 8.76613e10 1.51834e11i 0.158355 0.274280i
\(408\) −1.96583e10 −0.0351217
\(409\) −3.62815e11 −0.641107 −0.320554 0.947230i \(-0.603869\pi\)
−0.320554 + 0.947230i \(0.603869\pi\)
\(410\) 7.90117e10 1.36852e11i 0.138091 0.239180i
\(411\) −3.54638e10 + 6.14252e10i −0.0613052 + 0.106184i
\(412\) 4.05798e11 + 7.02862e11i 0.693860 + 1.20180i
\(413\) 2.78820e11 + 4.82930e11i 0.471573 + 0.816788i
\(414\) −6.37485e11 −1.06652
\(415\) 4.01656e10 + 6.95689e10i 0.0664719 + 0.115133i
\(416\) 3.47754e10 + 6.02328e10i 0.0569315 + 0.0986083i
\(417\) 2.25369e10 + 3.90351e10i 0.0364991 + 0.0632183i
\(418\) −7.06190e10 + 1.22316e11i −0.113143 + 0.195970i
\(419\) 7.06622e11 1.12002 0.560008 0.828488i \(-0.310798\pi\)
0.560008 + 0.828488i \(0.310798\pi\)
\(420\) 1.44329e10 2.49985e10i 0.0226324 0.0392005i
\(421\) −1.68798e11 2.92367e11i −0.261878 0.453585i 0.704863 0.709343i \(-0.251008\pi\)
−0.966741 + 0.255758i \(0.917675\pi\)
\(422\) −1.90814e12 −2.92890
\(423\) 4.79210e11 + 8.30017e11i 0.727771 + 1.26054i
\(424\) −3.76073e11 + 6.51378e11i −0.565101 + 0.978783i
\(425\) −5.99720e10 + 1.03874e11i −0.0891658 + 0.154440i
\(426\) −2.18487e11 −0.321428
\(427\) −2.88318e11 + 4.99382e11i −0.419707 + 0.726954i
\(428\) 1.00168e12 1.44289
\(429\) −8.78356e10 −0.125202
\(430\) −1.68434e11 7.41709e9i −0.237586 0.0104623i
\(431\) 2.28397e11 0.318817 0.159409 0.987213i \(-0.449041\pi\)
0.159409 + 0.987213i \(0.449041\pi\)
\(432\) 1.67979e11 0.232049
\(433\) −1.52317e9 + 2.63821e9i −0.00208235 + 0.00360673i −0.867065 0.498196i \(-0.833996\pi\)
0.864982 + 0.501802i \(0.167329\pi\)
\(434\) 3.61691e12 4.89366
\(435\) −3.88037e9 + 6.72099e9i −0.00519602 + 0.00899978i
\(436\) −8.31688e11 + 1.44053e12i −1.10223 + 1.90911i
\(437\) −3.37231e10 5.84102e10i −0.0442345 0.0766165i
\(438\) −4.44223e10 −0.0576723
\(439\) −2.22201e11 3.84863e11i −0.285532 0.494557i 0.687206 0.726463i \(-0.258837\pi\)
−0.972738 + 0.231906i \(0.925504\pi\)
\(440\) −8.74691e10 + 1.51501e11i −0.111255 + 0.192698i
\(441\) −1.00150e12 −1.26089
\(442\) −1.60632e11 + 2.78223e11i −0.200185 + 0.346731i
\(443\) −8.05776e11 1.39565e12i −0.994026 1.72170i −0.591533 0.806280i \(-0.701477\pi\)
−0.402493 0.915423i \(-0.631856\pi\)
\(444\) −3.11916e10 5.40255e10i −0.0380903 0.0659743i
\(445\) −5.59034e10 9.68275e10i −0.0675800 0.117052i
\(446\) −8.55146e11 −1.02337
\(447\) −2.78776e10 4.82854e10i −0.0330272 0.0572048i
\(448\) −5.92209e11 1.02574e12i −0.694583 1.20305i
\(449\) 6.28163e11 1.08801e12i 0.729397 1.26335i −0.227741 0.973722i \(-0.573134\pi\)
0.957138 0.289631i \(-0.0935326\pi\)
\(450\) 7.33673e11 1.27076e12i 0.843425 1.46085i
\(451\) −9.30918e11 −1.05954
\(452\) −2.67820e10 −0.0301800
\(453\) 7.49513e9 1.29819e10i 0.00836252 0.0144843i
\(454\) −1.61811e11 + 2.80265e11i −0.178754 + 0.309612i
\(455\) −1.19419e11 2.06840e11i −0.130624 0.226248i
\(456\) 1.27221e10 + 2.20353e10i 0.0137790 + 0.0238659i
\(457\) 8.47903e11 0.909333 0.454667 0.890662i \(-0.349758\pi\)
0.454667 + 0.890662i \(0.349758\pi\)
\(458\) −8.06079e11 1.39617e12i −0.856018 1.48267i
\(459\) 1.86137e10 + 3.22400e10i 0.0195739 + 0.0339029i
\(460\) −8.25001e10 1.42894e11i −0.0859101 0.148801i
\(461\) −6.90824e10 + 1.19654e11i −0.0712382 + 0.123388i −0.899444 0.437036i \(-0.856028\pi\)
0.828206 + 0.560424i \(0.189362\pi\)
\(462\) −2.54002e11 −0.259387
\(463\) 4.45486e11 7.71604e11i 0.450526 0.780333i −0.547893 0.836548i \(-0.684570\pi\)
0.998419 + 0.0562152i \(0.0179033\pi\)
\(464\) −3.77265e11 6.53442e11i −0.377847 0.654449i
\(465\) 2.78516e10 0.0276256
\(466\) 1.10087e12 + 1.90676e12i 1.08143 + 1.87309i
\(467\) −3.90981e11 + 6.77198e11i −0.380390 + 0.658855i −0.991118 0.132985i \(-0.957544\pi\)
0.610728 + 0.791841i \(0.290877\pi\)
\(468\) 1.31560e12 2.27868e12i 1.26770 2.19572i
\(469\) −5.54181e11 −0.528900
\(470\) −1.85270e11 + 3.20897e11i −0.175131 + 0.303336i
\(471\) 7.22464e10 0.0676429
\(472\) −1.20250e12 −1.11519
\(473\) 4.58282e11 + 8.81156e11i 0.420976 + 0.809427i
\(474\) 1.23603e11 0.112468
\(475\) 1.55246e11 0.139926
\(476\) −3.10981e11 + 5.38635e11i −0.277653 + 0.480909i
\(477\) 7.07976e11 0.626160
\(478\) 1.98117e11 3.43148e11i 0.173578 0.300647i
\(479\) 8.08273e11 1.39997e12i 0.701534 1.21509i −0.266394 0.963864i \(-0.585832\pi\)
0.967928 0.251228i \(-0.0808343\pi\)
\(480\) 7.74375e8 + 1.34126e9i 0.000665833 + 0.00115326i
\(481\) −5.16167e11 −0.439681
\(482\) 1.12359e12 + 1.94612e12i 0.948193 + 1.64232i
\(483\) 6.06475e10 1.05045e11i 0.0507050 0.0878236i
\(484\) −4.09857e11 −0.339491
\(485\) −1.57952e11 + 2.73580e11i −0.129624 + 0.224516i
\(486\) −3.42242e11 5.92780e11i −0.278272 0.481982i
\(487\) −4.21264e11 7.29651e11i −0.339371 0.587808i 0.644944 0.764230i \(-0.276881\pi\)
−0.984315 + 0.176423i \(0.943547\pi\)
\(488\) −6.21733e11 1.07687e12i −0.496266 0.859559i
\(489\) 4.28715e10 0.0339062
\(490\) −1.93597e11 3.35321e11i −0.151711 0.262771i
\(491\) −1.06772e12 1.84935e12i −0.829069 1.43599i −0.898769 0.438422i \(-0.855537\pi\)
0.0696997 0.997568i \(-0.477796\pi\)
\(492\) −1.65620e11 + 2.86861e11i −0.127429 + 0.220714i
\(493\) 8.36092e10 1.44815e11i 0.0637446 0.110409i
\(494\) 4.15819e11 0.314147
\(495\) 1.64665e11 0.123276
\(496\) −1.35392e12 + 2.34506e12i −1.00445 + 1.73975i
\(497\) −1.74993e12 + 3.03097e12i −1.28652 + 2.22832i
\(498\) −1.25759e11 2.17821e11i −0.0916234 0.158696i
\(499\) −7.67103e11 1.32866e12i −0.553861 0.959316i −0.997991 0.0633534i \(-0.979820\pi\)
0.444130 0.895962i \(-0.353513\pi\)
\(500\) 7.66821e11 0.548692
\(501\) −6.97042e8 1.20731e9i −0.000494298 0.000856149i
\(502\) −1.01218e12 1.75315e12i −0.711363 1.23212i
\(503\) −2.95373e11 5.11601e11i −0.205738 0.356349i 0.744629 0.667478i \(-0.232626\pi\)
−0.950368 + 0.311129i \(0.899293\pi\)
\(504\) 1.92617e12 3.33623e12i 1.32971 2.30313i
\(505\) 1.80192e11 0.123289
\(506\) −7.25953e11 + 1.25739e12i −0.492301 + 0.852691i
\(507\) 4.87019e10 + 8.43542e10i 0.0327349 + 0.0566984i
\(508\) 3.22613e12 2.14929
\(509\) −4.61279e11 7.98958e11i −0.304602 0.527587i 0.672570 0.740033i \(-0.265190\pi\)
−0.977173 + 0.212446i \(0.931857\pi\)
\(510\) −3.57693e9 + 6.19542e9i −0.00234123 + 0.00405513i
\(511\) −3.55791e11 + 6.16248e11i −0.230835 + 0.399818i
\(512\) 2.83723e12 1.82465
\(513\) 2.40922e10 4.17289e10i 0.0153585 0.0266016i
\(514\) −3.39069e11 −0.214267
\(515\) 1.49534e11 0.0936716
\(516\) 3.53060e11 + 1.55472e10i 0.219243 + 0.00965450i
\(517\) 2.18285e12 1.34375
\(518\) −1.49264e12 −0.910903
\(519\) 1.08062e11 1.87169e11i 0.0653762 0.113235i
\(520\) 5.15035e11 0.308903
\(521\) 1.53576e12 2.66001e12i 0.913172 1.58166i 0.103617 0.994617i \(-0.466959\pi\)
0.809556 0.587043i \(-0.199708\pi\)
\(522\) −1.02284e12 + 1.77161e12i −0.602964 + 1.04436i
\(523\) −9.94064e11 1.72177e12i −0.580974 1.00628i −0.995364 0.0961772i \(-0.969338\pi\)
0.414390 0.910099i \(-0.363995\pi\)
\(524\) −4.16105e12 −2.41108
\(525\) 1.39597e11 + 2.41789e11i 0.0801971 + 0.138905i
\(526\) −2.65018e12 + 4.59025e12i −1.50952 + 2.61457i
\(527\) −6.00111e11 −0.338910
\(528\) 9.50807e10 1.64685e11i 0.0532402 0.0922148i
\(529\) 5.53907e11 + 9.59396e11i 0.307529 + 0.532657i
\(530\) 1.36857e11 + 2.37043e11i 0.0753399 + 0.130493i
\(531\) 5.65942e11 + 9.80241e11i 0.308921 + 0.535066i
\(532\) 8.05019e11 0.435716
\(533\) 1.37036e12 + 2.37353e12i 0.735464 + 1.27386i
\(534\) 1.75034e11 + 3.03167e11i 0.0931507 + 0.161342i
\(535\) 9.22786e10 1.59831e11i 0.0486977 0.0843470i
\(536\) 5.97522e11 1.03494e12i 0.312689 0.541593i
\(537\) −3.31340e11 −0.171945
\(538\) 3.99564e12 2.05620
\(539\) −1.14049e12 + 1.97538e12i −0.582023 + 1.00809i
\(540\) 5.89390e10 1.02085e11i 0.0298284 0.0516644i
\(541\) 2.05442e11 + 3.55837e11i 0.103110 + 0.178592i 0.912965 0.408039i \(-0.133787\pi\)
−0.809854 + 0.586631i \(0.800454\pi\)
\(542\) 5.20270e11 + 9.01135e11i 0.258960 + 0.448531i
\(543\) 3.02480e11 0.149313
\(544\) −1.66852e10 2.88997e10i −0.00816841 0.0141481i
\(545\) 1.53236e11 + 2.65413e11i 0.0744007 + 0.128866i
\(546\) 3.73903e11 + 6.47619e11i 0.180050 + 0.311855i
\(547\) 9.17215e11 1.58866e12i 0.438054 0.758732i −0.559485 0.828840i \(-0.689001\pi\)
0.997539 + 0.0701080i \(0.0223344\pi\)
\(548\) −4.83911e12 −2.29220
\(549\) −5.85221e11 + 1.01363e12i −0.274944 + 0.476217i
\(550\) −1.67098e12 2.89422e12i −0.778644 1.34865i
\(551\) −2.16434e11 −0.100033
\(552\) 1.30781e11 + 2.26520e11i 0.0599541 + 0.103844i
\(553\) 9.89976e11 1.71469e12i 0.450155 0.779691i
\(554\) −3.50191e12 + 6.06548e12i −1.57947 + 2.73572i
\(555\) −1.14939e10 −0.00514221
\(556\) −1.53760e12 + 2.66321e12i −0.682351 + 1.18187i
\(557\) 2.47956e12 1.09151 0.545753 0.837946i \(-0.316244\pi\)
0.545753 + 0.837946i \(0.316244\pi\)
\(558\) 7.34152e12 3.20577
\(559\) 1.57204e12 2.46557e12i 0.680942 1.06798i
\(560\) 5.17079e11 0.222183
\(561\) 4.21435e10 0.0179638
\(562\) 2.25726e12 3.90969e12i 0.954484 1.65321i
\(563\) −4.06105e12 −1.70353 −0.851766 0.523922i \(-0.824468\pi\)
−0.851766 + 0.523922i \(0.824468\pi\)
\(564\) 3.88351e11 6.72644e11i 0.161610 0.279917i
\(565\) −2.46725e9 + 4.27340e9i −0.00101858 + 0.00176423i
\(566\) 3.70325e12 + 6.41421e12i 1.51673 + 2.62706i
\(567\) −3.58253e12 −1.45568
\(568\) −3.77357e12 6.53602e12i −1.52120 2.63479i
\(569\) −1.30552e12 + 2.26123e12i −0.522131 + 0.904357i 0.477538 + 0.878611i \(0.341529\pi\)
−0.999669 + 0.0257460i \(0.991804\pi\)
\(570\) 9.25939e9 0.00367405
\(571\) 1.25415e12 2.17226e12i 0.493728 0.855162i −0.506246 0.862389i \(-0.668967\pi\)
0.999974 + 0.00722702i \(0.00230045\pi\)
\(572\) −2.99634e12 5.18981e12i −1.17033 2.02707i
\(573\) 2.53402e11 + 4.38906e11i 0.0982008 + 0.170089i
\(574\) 3.96278e12 + 6.86373e12i 1.52369 + 2.63911i
\(575\) 1.59591e12 0.608838
\(576\) −1.20205e12 2.08202e12i −0.455011 0.788103i
\(577\) 9.80030e11 + 1.69746e12i 0.368085 + 0.637542i 0.989266 0.146125i \(-0.0466802\pi\)
−0.621181 + 0.783667i \(0.713347\pi\)
\(578\) −2.25663e12 + 3.90860e12i −0.840978 + 1.45662i
\(579\) 1.59749e11 2.76693e11i 0.0590724 0.102316i
\(580\) −5.29484e11 −0.194279
\(581\) −4.02896e12 −1.46690
\(582\) 4.94547e11 8.56581e11i 0.178671 0.309467i
\(583\) 8.06225e11 1.39642e12i 0.289033 0.500620i
\(584\) −7.67233e11 1.32889e12i −0.272942 0.472749i
\(585\) −2.42395e11 4.19840e11i −0.0855701 0.148212i
\(586\) 2.33172e12 0.816839
\(587\) −2.13666e12 3.70080e12i −0.742786 1.28654i −0.951222 0.308507i \(-0.900171\pi\)
0.208436 0.978036i \(-0.433163\pi\)
\(588\) 4.05807e11 + 7.02878e11i 0.139998 + 0.242484i
\(589\) 3.88368e11 + 6.72674e11i 0.132961 + 0.230296i
\(590\) −2.18801e11 + 3.78975e11i −0.0743389 + 0.128759i
\(591\) 2.90693e10 0.00980147
\(592\) 5.58743e11 9.67771e11i 0.186967 0.323836i
\(593\) 2.08370e12 + 3.60907e12i 0.691972 + 1.19853i 0.971191 + 0.238303i \(0.0765912\pi\)
−0.279219 + 0.960228i \(0.590075\pi\)
\(594\) −1.03726e12 −0.341859
\(595\) 5.72974e10 + 9.92420e10i 0.0187417 + 0.0324615i
\(596\) 1.90198e12 3.29432e12i 0.617443 1.06944i
\(597\) −2.65438e11 + 4.59752e11i −0.0855220 + 0.148129i
\(598\) 4.27455e12 1.36690
\(599\) −1.16859e12 + 2.02405e12i −0.370886 + 0.642394i −0.989702 0.143142i \(-0.954279\pi\)
0.618816 + 0.785536i \(0.287613\pi\)
\(600\) −6.02057e11 −0.189652
\(601\) 1.48097e12 0.463031 0.231516 0.972831i \(-0.425632\pi\)
0.231516 + 0.972831i \(0.425632\pi\)
\(602\) 4.54599e12 7.12990e12i 1.41073 2.21258i
\(603\) −1.12486e12 −0.346475
\(604\) 1.02273e12 0.312675
\(605\) −3.77575e10 + 6.53979e10i −0.0114579 + 0.0198456i
\(606\) −5.64183e11 −0.169939
\(607\) −5.32407e11 + 9.22156e11i −0.159182 + 0.275712i −0.934574 0.355769i \(-0.884219\pi\)
0.775392 + 0.631480i \(0.217552\pi\)
\(608\) −2.15961e10 + 3.74055e10i −0.00640927 + 0.0111012i
\(609\) −1.94617e11 3.37087e11i −0.0573328 0.0993034i
\(610\) −4.52510e11 −0.132326
\(611\) −3.21327e12 5.56554e12i −0.932742 1.61556i
\(612\) −6.31222e11 + 1.09331e12i −0.181887 + 0.315037i
\(613\) −3.39998e12 −0.972532 −0.486266 0.873811i \(-0.661641\pi\)
−0.486266 + 0.873811i \(0.661641\pi\)
\(614\) −4.54705e12 + 7.87572e12i −1.29114 + 2.23631i
\(615\) 3.05149e10 + 5.28534e10i 0.00860150 + 0.0148982i
\(616\) −4.38695e12 7.59843e12i −1.22758 2.12623i
\(617\) −7.39835e11 1.28143e12i −0.205519 0.355969i 0.744779 0.667311i \(-0.232555\pi\)
−0.950298 + 0.311342i \(0.899222\pi\)
\(618\) −4.68192e11 −0.129115
\(619\) 1.40215e12 + 2.42859e12i 0.383871 + 0.664884i 0.991612 0.129251i \(-0.0412574\pi\)
−0.607741 + 0.794135i \(0.707924\pi\)
\(620\) 9.50102e11 + 1.64563e12i 0.258231 + 0.447268i
\(621\) 2.47664e11 4.28967e11i 0.0668268 0.115747i
\(622\) 9.10935e11 1.57779e12i 0.244023 0.422660i
\(623\) 5.60759e12 1.49135
\(624\) −5.59854e11 −0.147824
\(625\) −1.80105e12 + 3.11951e12i −0.472135 + 0.817762i
\(626\) −4.05385e12 + 7.02147e12i −1.05507 + 1.82744i
\(627\) −2.72736e10 4.72393e10i −0.00704756 0.0122067i
\(628\) 2.46454e12 + 4.26871e12i 0.632292 + 1.09516i
\(629\) 2.47657e11 0.0630844
\(630\) −7.00953e11 1.21409e12i −0.177279 0.307056i
\(631\) 2.57533e12 + 4.46061e12i 0.646698 + 1.12011i 0.983907 + 0.178683i \(0.0571838\pi\)
−0.337209 + 0.941430i \(0.609483\pi\)
\(632\) 2.13480e12 + 3.69758e12i 0.532268 + 0.921915i
\(633\) 3.68470e11 6.38209e11i 0.0912190 0.157996i
\(634\) −6.58498e12 −1.61865
\(635\) 2.97203e11 5.14771e11i 0.0725390 0.125641i
\(636\) −2.86871e11 4.96875e11i −0.0695231 0.120418i
\(637\) 6.71540e12 1.61601
\(638\) 2.32958e12 + 4.03494e12i 0.556652 + 0.964149i
\(639\) −3.55197e12 + 6.15219e12i −0.842782 + 1.45974i
\(640\) 4.90814e11 8.50115e11i 0.115640 0.200294i
\(641\) 1.92436e12 0.450221 0.225111 0.974333i \(-0.427726\pi\)
0.225111 + 0.974333i \(0.427726\pi\)
\(642\) −2.88925e11 + 5.00432e11i −0.0671239 + 0.116262i
\(643\) 6.16850e12 1.42308 0.711541 0.702644i \(-0.247997\pi\)
0.711541 + 0.702644i \(0.247997\pi\)
\(644\) 8.27547e12 1.89586
\(645\) 3.50059e10 5.49030e10i 0.00796385 0.0124904i
\(646\) −1.99510e11 −0.0450731
\(647\) 6.71639e12 1.50684 0.753419 0.657541i \(-0.228403\pi\)
0.753419 + 0.657541i \(0.228403\pi\)
\(648\) 3.86271e12 6.69040e12i 0.860606 1.49061i
\(649\) 2.57793e12 0.570386
\(650\) −4.91953e12 + 8.52087e12i −1.08097 + 1.87229i
\(651\) −6.98439e11 + 1.20973e12i −0.152410 + 0.263982i
\(652\) 1.46248e12 + 2.53308e12i 0.316938 + 0.548953i
\(653\) −2.74289e12 −0.590336 −0.295168 0.955445i \(-0.595376\pi\)
−0.295168 + 0.955445i \(0.595376\pi\)
\(654\) −4.79783e11 8.31009e11i −0.102552 0.177626i
\(655\) −3.83330e11 + 6.63948e11i −0.0813743 + 0.140945i
\(656\) −5.93357e12 −1.25098
\(657\) −7.22177e11 + 1.25085e12i −0.151217 + 0.261915i
\(658\) −9.29208e12 1.60943e13i −1.93240 3.34701i
\(659\) −2.74439e12 4.75343e12i −0.566842 0.981799i −0.996876 0.0789861i \(-0.974832\pi\)
0.430034 0.902813i \(-0.358502\pi\)
\(660\) −6.67220e10 1.15566e11i −0.0136874 0.0237073i
\(661\) −4.41670e12 −0.899894 −0.449947 0.893055i \(-0.648557\pi\)
−0.449947 + 0.893055i \(0.648557\pi\)
\(662\) −1.36275e12 2.36035e12i −0.275776 0.477657i
\(663\) −6.20373e10 1.07452e11i −0.0124693 0.0215975i
\(664\) 4.34405e12 7.52412e12i 0.867239 1.50210i
\(665\) 7.41612e10 1.28451e11i 0.0147055 0.0254707i
\(666\) −3.02973e12 −0.596720
\(667\) −2.22491e12 −0.435258
\(668\) 4.75564e10 8.23700e10i 0.00924091 0.0160057i
\(669\) 1.65132e11 2.86017e11i 0.0318723 0.0552045i
\(670\) −2.17444e11 3.76625e11i −0.0416880 0.0722058i
\(671\) 1.33287e12 + 2.30860e12i 0.253826 + 0.439640i
\(672\) −7.76765e10 −0.0146936
\(673\) −5.16902e12 8.95301e12i −0.971271 1.68229i −0.691727 0.722159i \(-0.743150\pi\)
−0.279544 0.960133i \(-0.590183\pi\)
\(674\) −5.73833e12 9.93907e12i −1.07106 1.85514i
\(675\) 5.70066e11 + 9.87384e11i 0.105696 + 0.183071i
\(676\) −3.32274e12 + 5.75515e12i −0.611978 + 1.05998i
\(677\) −4.39759e12 −0.804573 −0.402286 0.915514i \(-0.631784\pi\)
−0.402286 + 0.915514i \(0.631784\pi\)
\(678\) 7.72498e9 1.33800e10i 0.00140399 0.00243178i
\(679\) −7.92195e12 1.37212e13i −1.43027 2.47730i
\(680\) −2.47114e11 −0.0443207
\(681\) −6.24927e10 1.08241e11i −0.0111344 0.0192854i
\(682\) 8.36034e12 1.44805e13i 1.47977 2.56304i
\(683\) 2.66727e12 4.61984e12i 0.469001 0.812333i −0.530371 0.847765i \(-0.677948\pi\)
0.999372 + 0.0354324i \(0.0112808\pi\)
\(684\) 1.63401e12 0.285431
\(685\) −4.45796e11 + 7.72142e11i −0.0773622 + 0.133995i
\(686\) 4.19889e12 0.723896
\(687\) 6.22628e11 0.106641
\(688\) 2.92104e12 + 5.61639e12i 0.497037 + 0.955673i
\(689\) −4.74722e12 −0.802514
\(690\) 9.51851e10 0.0159863
\(691\) 4.49739e12 7.78970e12i 0.750428 1.29978i −0.197188 0.980366i \(-0.563181\pi\)
0.947615 0.319413i \(-0.103486\pi\)
\(692\) 1.47453e13 2.44442
\(693\) −4.12933e12 + 7.15220e12i −0.680111 + 1.17799i
\(694\) 2.12390e12 3.67871e12i 0.347550 0.601974i
\(695\) 2.83299e11 + 4.90688e11i 0.0460589 + 0.0797763i
\(696\) 8.39351e11 0.135582
\(697\) −6.57497e11 1.13882e12i −0.105523 0.182771i
\(698\) 4.88412e12 8.45954e12i 0.778819 1.34895i
\(699\) −8.50328e11 −0.134722
\(700\) −9.52413e12 + 1.64963e13i −1.49928 + 2.59684i
\(701\) 1.14133e12 + 1.97685e12i 0.178518 + 0.309202i 0.941373 0.337368i \(-0.109537\pi\)
−0.762855 + 0.646569i \(0.776203\pi\)
\(702\) 1.52689e12 + 2.64466e12i 0.237297 + 0.411010i
\(703\) −1.60274e11 2.77602e11i −0.0247493 0.0428671i
\(704\) −5.47547e12 −0.840126
\(705\) −7.15526e10 1.23933e11i −0.0109087 0.0188945i
\(706\) −2.08772e11 3.61603e11i −0.0316264 0.0547786i
\(707\) −4.51871e12 + 7.82663e12i −0.680185 + 1.17811i
\(708\) 4.58638e11 7.94385e11i 0.0685995 0.118818i
\(709\) 1.11148e13 1.65193 0.825965 0.563721i \(-0.190631\pi\)
0.825965 + 0.563721i \(0.190631\pi\)
\(710\) −2.74648e12 −0.405615
\(711\) 2.00943e12 3.48044e12i 0.294890 0.510764i
\(712\) −6.04615e12 + 1.04722e13i −0.881696 + 1.52714i
\(713\) 3.99237e12 + 6.91499e12i 0.578533 + 1.00205i
\(714\) −1.79398e11 3.10727e11i −0.0258331 0.0447443i
\(715\) −1.10413e12 −0.157995
\(716\) −1.13030e13 1.95773e13i −1.60725 2.78385i
\(717\) 7.65142e10 + 1.32527e11i 0.0108120 + 0.0187269i
\(718\) 1.01809e13 + 1.76339e13i 1.42964 + 2.47622i
\(719\) 2.60543e12 4.51274e12i 0.363579 0.629738i −0.624968 0.780651i \(-0.714888\pi\)
0.988547 + 0.150913i \(0.0482212\pi\)
\(720\) 1.04955e12 0.145549
\(721\) −3.74989e12 + 6.49500e12i −0.516785 + 0.895098i
\(722\) −6.22108e12 1.07752e13i −0.852017 1.47574i
\(723\) −8.67880e11 −0.118124
\(724\) 1.03185e13 + 1.78721e13i 1.39570 + 2.41743i
\(725\) 2.56062e12 4.43513e12i 0.344211 0.596191i
\(726\) 1.18219e11 2.04761e11i 0.0157933 0.0273548i
\(727\) 1.29744e13 1.72259 0.861295 0.508105i \(-0.169654\pi\)
0.861295 + 0.508105i \(0.169654\pi\)
\(728\) −1.29156e13 + 2.23705e13i −1.70421 + 2.95179i
\(729\) −7.09375e12 −0.930255
\(730\) −5.58408e11 −0.0727778
\(731\) −7.54263e11 + 1.18298e12i −0.0977000 + 0.153232i
\(732\) 9.48524e11 0.122109
\(733\) 4.67225e12 0.597803 0.298902 0.954284i \(-0.403380\pi\)
0.298902 + 0.954284i \(0.403380\pi\)
\(734\) 5.22417e12 9.04853e12i 0.664332 1.15066i
\(735\) 1.49538e11 0.0188998
\(736\) −2.22004e11 + 3.84523e11i −0.0278876 + 0.0483028i
\(737\) −1.28097e12 + 2.21870e12i −0.159932 + 0.277010i
\(738\) 8.04356e12 + 1.39318e13i 0.998147 + 1.72884i
\(739\) 5.01442e12 0.618472 0.309236 0.950985i \(-0.399927\pi\)
0.309236 + 0.950985i \(0.399927\pi\)
\(740\) −3.92093e11 6.79124e11i −0.0480669 0.0832543i
\(741\) −8.02962e10 + 1.39077e11i −0.00978392 + 0.0169463i
\(742\) −1.37279e13 −1.66260
\(743\) −2.00164e12 + 3.46695e12i −0.240956 + 0.417348i −0.960987 0.276594i \(-0.910794\pi\)
0.720031 + 0.693942i \(0.244128\pi\)
\(744\) −1.50612e12 2.60868e12i −0.180212 0.312136i
\(745\) −3.50434e11 6.06969e11i −0.0416776 0.0721878i
\(746\) 3.34754e12 + 5.79810e12i 0.395731 + 0.685427i
\(747\) −8.17789e12 −0.960945
\(748\) 1.43764e12 + 2.49007e12i 0.167916 + 0.290840i
\(749\) 4.62817e12 + 8.01622e12i 0.537330 + 0.930683i
\(750\) −2.21181e11 + 3.83097e11i −0.0255254 + 0.0442113i
\(751\) −1.02261e12 + 1.77121e12i −0.117309 + 0.203184i −0.918700 0.394956i \(-0.870760\pi\)
0.801392 + 0.598140i \(0.204093\pi\)
\(752\) 1.39133e13 1.58653
\(753\) 7.81824e11 0.0886200
\(754\) 6.85850e12 1.18793e13i 0.772784 1.33850i
\(755\) 9.42172e10 1.63189e11i 0.0105528 0.0182780i
\(756\) 2.95604e12 + 5.12002e12i 0.329126 + 0.570064i
\(757\) −8.29493e12 1.43672e13i −0.918082 1.59016i −0.802325 0.596887i \(-0.796404\pi\)
−0.115757 0.993278i \(-0.536929\pi\)
\(758\) −1.84904e13 −2.03440
\(759\) −2.80369e11 4.85613e11i −0.0306649 0.0531131i
\(760\) 1.59922e11 + 2.76994e11i 0.0173879 + 0.0301168i
\(761\) 6.10923e12 + 1.05815e13i 0.660321 + 1.14371i 0.980531 + 0.196364i \(0.0629133\pi\)
−0.320210 + 0.947347i \(0.603753\pi\)
\(762\) −9.30544e11 + 1.61175e12i −0.0999861 + 0.173181i
\(763\) −1.53709e13 −1.64187