Properties

Label 43.10.g.a.9.14
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 9.14
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.98413 - 7.50386i) q^{2} +(-64.3608 - 9.70083i) q^{3} +(93.4326 - 409.355i) q^{4} +(-1644.31 - 1121.07i) q^{5} +(312.350 + 541.005i) q^{6} +(-2499.13 + 4328.62i) q^{7} +(-8058.28 + 3880.66i) q^{8} +(-14760.3 - 4552.96i) q^{9} +O(q^{10})\) \(q+(-5.98413 - 7.50386i) q^{2} +(-64.3608 - 9.70083i) q^{3} +(93.4326 - 409.355i) q^{4} +(-1644.31 - 1121.07i) q^{5} +(312.350 + 541.005i) q^{6} +(-2499.13 + 4328.62i) q^{7} +(-8058.28 + 3880.66i) q^{8} +(-14760.3 - 4552.96i) q^{9} +(1427.40 + 19047.3i) q^{10} +(-4490.58 - 19674.5i) q^{11} +(-9984.48 + 25440.1i) q^{12} +(5961.64 - 79552.5i) q^{13} +(47436.5 - 7149.90i) q^{14} +(94954.0 + 88104.4i) q^{15} +(-116348. - 56030.4i) q^{16} +(156423. - 106647. i) q^{17} +(54162.9 + 138005. i) q^{18} +(-24850.6 + 7665.39i) q^{19} +(-612550. + 568363. i) q^{20} +(202837. - 254350. i) q^{21} +(-120763. + 151431. i) q^{22} +(-494109. + 458466. i) q^{23} +(556283. - 171591. i) q^{24} +(733403. + 1.86868e6i) q^{25} +(-632626. + 431317. i) q^{26} +(2.06007e6 + 992078. i) q^{27} +(1.53844e6 + 1.42747e6i) q^{28} +(6.85477e6 - 1.03319e6i) q^{29} +(92906.4 - 1.23975e6i) q^{30} +(-1.30291e6 + 3.31977e6i) q^{31} +(1.29480e6 + 5.67288e6i) q^{32} +(98158.2 + 1.30983e6i) q^{33} +(-1.73632e6 - 535583. i) q^{34} +(8.96206e6 - 4.31590e6i) q^{35} +(-3.24287e6 + 5.61682e6i) q^{36} +(-7.80631e6 - 1.35209e7i) q^{37} +(206229. + 140605. i) q^{38} +(-1.15542e6 + 5.06223e6i) q^{39} +(1.76008e7 + 2.65290e6i) q^{40} +(1.93053e7 + 2.42081e7i) q^{41} -3.12241e6 q^{42} +(-1.78909e7 - 1.35096e7i) q^{43} -8.47343e6 q^{44} +(1.91664e7 + 2.40339e7i) q^{45} +(6.39708e6 + 964204. i) q^{46} +(-3.43316e6 + 1.50417e7i) q^{47} +(6.94474e6 + 4.73484e6i) q^{48} +(7.68547e6 + 1.33116e7i) q^{49} +(9.63353e6 - 1.66858e7i) q^{50} +(-1.11021e7 + 5.34647e6i) q^{51} +(-3.20082e7 - 9.87323e6i) q^{52} +(1.06660e6 + 1.42328e7i) q^{53} +(-4.88331e6 - 2.13952e7i) q^{54} +(-1.46727e7 + 3.73853e7i) q^{55} +(3.34078e6 - 4.45796e7i) q^{56} +(1.67376e6 - 252279. i) q^{57} +(-4.87727e7 - 4.52544e7i) q^{58} +(-1.25153e8 - 6.02705e7i) q^{59} +(4.49378e7 - 3.06381e7i) q^{60} +(-6.11520e7 - 1.55813e8i) q^{61} +(3.27079e7 - 1.00890e7i) q^{62} +(5.65961e7 - 5.25135e7i) q^{63} +(-6.40377e6 + 8.03007e6i) q^{64} +(-9.89870e7 + 1.24126e8i) q^{65} +(9.24139e6 - 8.57475e6i) q^{66} +(-3.10254e7 + 9.57008e6i) q^{67} +(-2.90416e7 - 7.39967e7i) q^{68} +(3.62488e7 - 2.47140e7i) q^{69} +(-8.60160e7 - 4.14231e7i) q^{70} +(6.74777e7 + 6.26102e7i) q^{71} +(1.36611e8 - 2.05908e7i) q^{72} +(1.43040e6 - 1.90874e7i) q^{73} +(-5.47451e7 + 1.39488e8i) q^{74} +(-2.90747e7 - 1.27384e8i) q^{75} +(816011. + 1.08889e7i) q^{76} +(9.63862e7 + 2.97312e7i) q^{77} +(4.49004e7 - 2.16229e7i) q^{78} +(6.87240e7 - 1.19033e8i) q^{79} +(1.28499e8 + 2.22567e8i) q^{80} +(1.28242e8 + 8.74336e7i) q^{81} +(6.61286e7 - 2.89728e8i) q^{82} +(-7.94783e8 - 1.19794e8i) q^{83} +(-8.51679e7 - 1.06797e8i) q^{84} -3.76767e8 q^{85} +(5.68767e6 + 2.15094e8i) q^{86} -4.51201e8 q^{87} +(1.12536e8 + 1.41116e8i) q^{88} +(7.74551e8 + 1.16745e8i) q^{89} +(6.56528e7 - 2.87644e8i) q^{90} +(3.29454e8 + 2.24618e8i) q^{91} +(1.41510e8 + 2.45102e8i) q^{92} +(1.16061e8 - 2.01024e8i) q^{93} +(1.33415e8 - 6.42493e7i) q^{94} +(4.94556e7 + 1.52550e7i) q^{95} +(-2.83026e7 - 3.77672e8i) q^{96} +(2.08079e8 + 9.11652e8i) q^{97} +(5.38977e7 - 1.37329e8i) q^{98} +(-2.32948e7 + 3.10848e8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.98413 7.50386i −0.264463 0.331627i 0.631814 0.775120i \(-0.282311\pi\)
−0.896278 + 0.443493i \(0.853739\pi\)
\(3\) −64.3608 9.70083i −0.458750 0.0691454i −0.0843979 0.996432i \(-0.526897\pi\)
−0.374352 + 0.927287i \(0.622135\pi\)
\(4\) 93.4326 409.355i 0.182486 0.799522i
\(5\) −1644.31 1121.07i −1.17657 0.802175i −0.192739 0.981250i \(-0.561737\pi\)
−0.983835 + 0.179075i \(0.942690\pi\)
\(6\) 312.350 + 541.005i 0.0983921 + 0.170420i
\(7\) −2499.13 + 4328.62i −0.393412 + 0.681410i −0.992897 0.118976i \(-0.962039\pi\)
0.599485 + 0.800386i \(0.295372\pi\)
\(8\) −8058.28 + 3880.66i −0.695564 + 0.334966i
\(9\) −14760.3 4552.96i −0.749902 0.231314i
\(10\) 1427.40 + 19047.3i 0.0451384 + 0.602330i
\(11\) −4490.58 19674.5i −0.0924774 0.405170i 0.907409 0.420249i \(-0.138057\pi\)
−0.999886 + 0.0150790i \(0.995200\pi\)
\(12\) −9984.48 + 25440.1i −0.138998 + 0.354162i
\(13\) 5961.64 79552.5i 0.0578922 0.772518i −0.890412 0.455156i \(-0.849584\pi\)
0.948304 0.317363i \(-0.102797\pi\)
\(14\) 47436.5 7149.90i 0.330017 0.0497421i
\(15\) 94954.0 + 88104.4i 0.484287 + 0.449352i
\(16\) −116348. 56030.4i −0.443834 0.213739i
\(17\) 156423. 106647.i 0.454234 0.309691i −0.314503 0.949256i \(-0.601838\pi\)
0.768737 + 0.639565i \(0.220886\pi\)
\(18\) 54162.9 + 138005.i 0.121612 + 0.309862i
\(19\) −24850.6 + 7665.39i −0.0437467 + 0.0134941i −0.316551 0.948575i \(-0.602525\pi\)
0.272805 + 0.962069i \(0.412049\pi\)
\(20\) −612550. + 568363.i −0.856064 + 0.794312i
\(21\) 202837. 254350.i 0.227594 0.285394i
\(22\) −120763. + 151431.i −0.109908 + 0.137821i
\(23\) −494109. + 458466.i −0.368169 + 0.341611i −0.842462 0.538756i \(-0.818894\pi\)
0.474292 + 0.880367i \(0.342704\pi\)
\(24\) 556283. 171591.i 0.342251 0.105571i
\(25\) 733403. + 1.86868e6i 0.375502 + 0.956764i
\(26\) −632626. + 431317.i −0.271498 + 0.185104i
\(27\) 2.06007e6 + 992078.i 0.746011 + 0.359260i
\(28\) 1.53844e6 + 1.42747e6i 0.473010 + 0.438889i
\(29\) 6.85477e6 1.03319e6i 1.79971 0.271262i 0.838065 0.545571i \(-0.183687\pi\)
0.961642 + 0.274309i \(0.0884490\pi\)
\(30\) 92906.4 1.23975e6i 0.0209411 0.279440i
\(31\) −1.30291e6 + 3.31977e6i −0.253389 + 0.645625i −0.999803 0.0198571i \(-0.993679\pi\)
0.746414 + 0.665482i \(0.231774\pi\)
\(32\) 1.29480e6 + 5.67288e6i 0.218286 + 0.956375i
\(33\) 98158.2 + 1.30983e6i 0.0144083 + 0.192266i
\(34\) −1.73632e6 535583.i −0.222830 0.0687340i
\(35\) 8.96206e6 4.31590e6i 1.00949 0.486145i
\(36\) −3.24287e6 + 5.61682e6i −0.321787 + 0.557352i
\(37\) −7.80631e6 1.35209e7i −0.684759 1.18604i −0.973512 0.228634i \(-0.926574\pi\)
0.288753 0.957404i \(-0.406759\pi\)
\(38\) 206229. + 140605.i 0.0160444 + 0.0109389i
\(39\) −1.15542e6 + 5.06223e6i −0.0799742 + 0.350390i
\(40\) 1.76008e7 + 2.65290e6i 1.08708 + 0.163852i
\(41\) 1.93053e7 + 2.42081e7i 1.06696 + 1.33793i 0.938138 + 0.346262i \(0.112549\pi\)
0.128825 + 0.991667i \(0.458879\pi\)
\(42\) −3.12241e6 −0.154835
\(43\) −1.78909e7 1.35096e7i −0.798039 0.602605i
\(44\) −8.47343e6 −0.340818
\(45\) 1.91664e7 + 2.40339e7i 0.696762 + 0.873712i
\(46\) 6.39708e6 + 964204.i 0.210655 + 0.0317511i
\(47\) −3.43316e6 + 1.50417e7i −0.102625 + 0.449631i 0.897340 + 0.441339i \(0.145496\pi\)
−0.999966 + 0.00829146i \(0.997361\pi\)
\(48\) 6.94474e6 + 4.73484e6i 0.188830 + 0.128742i
\(49\) 7.68547e6 + 1.33116e7i 0.190453 + 0.329875i
\(50\) 9.63353e6 1.66858e7i 0.217982 0.377556i
\(51\) −1.11021e7 + 5.34647e6i −0.229793 + 0.110663i
\(52\) −3.20082e7 9.87323e6i −0.607081 0.187260i
\(53\) 1.06660e6 + 1.42328e7i 0.0185678 + 0.247770i 0.998763 + 0.0497336i \(0.0158372\pi\)
−0.980195 + 0.198036i \(0.936544\pi\)
\(54\) −4.88331e6 2.13952e7i −0.0781525 0.342408i
\(55\) −1.46727e7 + 3.73853e7i −0.216211 + 0.550896i
\(56\) 3.34078e6 4.45796e7i 0.0453943 0.605745i
\(57\) 1.67376e6 252279.i 0.0210018 0.00316552i
\(58\) −4.87727e7 4.52544e7i −0.565914 0.525092i
\(59\) −1.25153e8 6.02705e7i −1.34464 0.647546i −0.383486 0.923547i \(-0.625277\pi\)
−0.961158 + 0.276000i \(0.910991\pi\)
\(60\) 4.49378e7 3.06381e7i 0.447642 0.305197i
\(61\) −6.11520e7 1.55813e8i −0.565492 1.44085i −0.872249 0.489062i \(-0.837339\pi\)
0.306757 0.951788i \(-0.400756\pi\)
\(62\) 3.27079e7 1.00890e7i 0.281119 0.0867137i
\(63\) 5.65961e7 5.25135e7i 0.452641 0.419989i
\(64\) −6.40377e6 + 8.03007e6i −0.0477118 + 0.0598287i
\(65\) −9.89870e7 + 1.24126e8i −0.687810 + 0.862486i
\(66\) 9.24139e6 8.57475e6i 0.0599500 0.0556255i
\(67\) −3.10254e7 + 9.57008e6i −0.188097 + 0.0580202i −0.387373 0.921923i \(-0.626617\pi\)
0.199276 + 0.979943i \(0.436141\pi\)
\(68\) −2.90416e7 7.39967e7i −0.164714 0.419684i
\(69\) 3.62488e7 2.47140e7i 0.192518 0.131257i
\(70\) −8.60160e7 4.14231e7i −0.428192 0.206206i
\(71\) 6.74777e7 + 6.26102e7i 0.315136 + 0.292403i 0.821842 0.569716i \(-0.192947\pi\)
−0.506706 + 0.862119i \(0.669137\pi\)
\(72\) 1.36611e8 2.05908e7i 0.599088 0.0902980i
\(73\) 1.43040e6 1.90874e7i 0.00589529 0.0786672i −0.993480 0.114006i \(-0.963632\pi\)
0.999375 + 0.0353384i \(0.0112509\pi\)
\(74\) −5.47451e7 + 1.39488e8i −0.212228 + 0.540748i
\(75\) −2.90747e7 1.27384e8i −0.106106 0.464880i
\(76\) 816011. + 1.08889e7i 0.00280566 + 0.0374389i
\(77\) 9.63862e7 + 2.97312e7i 0.312469 + 0.0963838i
\(78\) 4.49004e7 2.16229e7i 0.137349 0.0661437i
\(79\) 6.87240e7 1.19033e8i 0.198512 0.343833i −0.749534 0.661966i \(-0.769723\pi\)
0.948046 + 0.318133i \(0.103056\pi\)
\(80\) 1.28499e8 + 2.22567e8i 0.350748 + 0.607513i
\(81\) 1.28242e8 + 8.74336e7i 0.331014 + 0.225682i
\(82\) 6.61286e7 2.89728e8i 0.161520 0.707667i
\(83\) −7.94783e8 1.19794e8i −1.83822 0.277067i −0.864136 0.503259i \(-0.832134\pi\)
−0.974083 + 0.226192i \(0.927372\pi\)
\(84\) −8.51679e7 1.06797e8i −0.186646 0.234047i
\(85\) −3.76767e8 −0.782866
\(86\) 5.68767e6 + 2.15094e8i 0.0112122 + 0.424018i
\(87\) −4.51201e8 −0.844372
\(88\) 1.12536e8 + 1.41116e8i 0.200042 + 0.250845i
\(89\) 7.74551e8 + 1.16745e8i 1.30856 + 0.197234i 0.766033 0.642801i \(-0.222228\pi\)
0.542531 + 0.840036i \(0.317466\pi\)
\(90\) 6.56528e7 2.87644e8i 0.105478 0.462130i
\(91\) 3.29454e8 + 2.24618e8i 0.503627 + 0.343367i
\(92\) 1.41510e8 + 2.45102e8i 0.205940 + 0.356698i
\(93\) 1.16061e8 2.01024e8i 0.160884 0.278660i
\(94\) 1.33415e8 6.42493e7i 0.176250 0.0848776i
\(95\) 4.94556e7 + 1.52550e7i 0.0622959 + 0.0192157i
\(96\) −2.83026e7 3.77672e8i −0.0340099 0.453831i
\(97\) 2.08079e8 + 9.11652e8i 0.238646 + 1.04558i 0.942230 + 0.334965i \(0.108725\pi\)
−0.703584 + 0.710612i \(0.748418\pi\)
\(98\) 5.38977e7 1.37329e8i 0.0590273 0.150399i
\(99\) −2.32948e7 + 3.10848e8i −0.0243726 + 0.325229i
\(100\) 8.33477e8 1.25627e8i 0.833477 0.125627i
\(101\) 3.97824e8 + 3.69127e8i 0.380404 + 0.352963i 0.847080 0.531465i \(-0.178358\pi\)
−0.466677 + 0.884428i \(0.654549\pi\)
\(102\) 1.06555e8 + 5.13143e7i 0.0974706 + 0.0469394i
\(103\) −1.12894e9 + 7.69700e8i −0.988336 + 0.673836i −0.945628 0.325252i \(-0.894551\pi\)
−0.0427084 + 0.999088i \(0.513599\pi\)
\(104\) 2.60676e8 + 6.64191e8i 0.218500 + 0.556728i
\(105\) −6.18674e8 + 1.90836e8i −0.496718 + 0.153217i
\(106\) 1.00418e8 9.31743e7i 0.0772565 0.0716836i
\(107\) −7.98465e8 + 1.00124e9i −0.588882 + 0.738435i −0.983599 0.180368i \(-0.942271\pi\)
0.394717 + 0.918803i \(0.370843\pi\)
\(108\) 5.98590e8 7.50608e8i 0.423372 0.530892i
\(109\) −1.21718e8 + 1.12938e8i −0.0825914 + 0.0766337i −0.720388 0.693571i \(-0.756036\pi\)
0.637797 + 0.770205i \(0.279846\pi\)
\(110\) 3.68337e8 1.13617e8i 0.239871 0.0739906i
\(111\) 3.71256e8 + 9.45945e8i 0.232124 + 0.591442i
\(112\) 5.33305e8 3.63601e8i 0.320254 0.218345i
\(113\) −1.58893e7 7.65189e6i −0.00916753 0.00441485i 0.429294 0.903165i \(-0.358762\pi\)
−0.438462 + 0.898750i \(0.644477\pi\)
\(114\) −1.19091e7 1.10500e7i −0.00660399 0.00612761i
\(115\) 1.32644e9 1.99929e8i 0.707211 0.106595i
\(116\) 2.17517e8 2.90257e9i 0.111541 1.48841i
\(117\) −4.50195e8 + 1.14708e9i −0.222108 + 0.565922i
\(118\) 2.96670e8 + 1.29980e9i 0.140866 + 0.617172i
\(119\) 7.07145e7 + 9.43620e8i 0.0323257 + 0.431356i
\(120\) −1.10707e9 3.41486e8i −0.487370 0.150334i
\(121\) 1.75752e9 8.46375e8i 0.745358 0.358946i
\(122\) −8.03255e8 + 1.39128e9i −0.328272 + 0.568585i
\(123\) −1.00767e9 1.74533e9i −0.396957 0.687550i
\(124\) 1.23723e9 + 8.43529e8i 0.469951 + 0.320407i
\(125\) 2.40563e7 1.05397e8i 0.00881319 0.0386131i
\(126\) −7.32732e8 1.10442e8i −0.258987 0.0390360i
\(127\) −1.62692e9 2.04010e9i −0.554945 0.695879i 0.422669 0.906284i \(-0.361093\pi\)
−0.977614 + 0.210405i \(0.932522\pi\)
\(128\) 3.07779e9 1.01343
\(129\) 1.02042e9 + 1.04304e9i 0.324433 + 0.331626i
\(130\) 1.52377e9 0.467924
\(131\) −1.23535e9 1.54908e9i −0.366497 0.459572i 0.564053 0.825739i \(-0.309242\pi\)
−0.930549 + 0.366166i \(0.880670\pi\)
\(132\) 5.45357e8 + 8.21993e7i 0.156350 + 0.0235660i
\(133\) 2.89243e7 1.26726e8i 0.00801550 0.0351182i
\(134\) 2.57473e8 + 1.75542e8i 0.0689858 + 0.0470337i
\(135\) −2.27521e9 3.94078e9i −0.589548 1.02113i
\(136\) −8.46635e8 + 1.46642e9i −0.212213 + 0.367563i
\(137\) −2.08367e9 + 1.00344e9i −0.505344 + 0.243361i −0.669144 0.743133i \(-0.733339\pi\)
0.163800 + 0.986494i \(0.447625\pi\)
\(138\) −4.02367e8 1.24114e8i −0.0944424 0.0291316i
\(139\) −2.19685e7 2.93149e8i −0.00499153 0.0666073i 0.994152 0.107992i \(-0.0344421\pi\)
−0.999143 + 0.0413848i \(0.986823\pi\)
\(140\) −9.29388e8 4.07191e9i −0.204466 0.895823i
\(141\) 3.66878e8 9.34790e8i 0.0781692 0.199172i
\(142\) 6.60226e7 8.81010e8i 0.0136268 0.181837i
\(143\) −1.59193e9 + 2.39945e8i −0.318355 + 0.0479843i
\(144\) 1.46224e9 + 1.35676e9i 0.283391 + 0.262949i
\(145\) −1.24297e10 5.98581e9i −2.33509 1.12452i
\(146\) −1.51789e8 + 1.03488e8i −0.0276472 + 0.0188496i
\(147\) −3.65510e8 9.31303e8i −0.0645611 0.164499i
\(148\) −6.26422e9 + 1.93226e9i −1.07322 + 0.331045i
\(149\) 1.80307e8 1.67301e8i 0.0299692 0.0278073i −0.665046 0.746802i \(-0.731588\pi\)
0.695015 + 0.718995i \(0.255398\pi\)
\(150\) −7.81888e8 + 9.80456e8i −0.126105 + 0.158131i
\(151\) −6.10861e9 + 7.65996e9i −0.956195 + 1.19903i 0.0237412 + 0.999718i \(0.492442\pi\)
−0.979936 + 0.199312i \(0.936129\pi\)
\(152\) 1.70506e8 1.58207e8i 0.0259086 0.0240397i
\(153\) −2.79441e9 + 8.61961e8i −0.412267 + 0.127168i
\(154\) −3.53688e8 9.01183e8i −0.0506731 0.129113i
\(155\) 5.86411e9 3.99808e9i 0.816036 0.556364i
\(156\) 1.96430e9 + 9.45955e8i 0.265550 + 0.127882i
\(157\) −7.67705e7 7.12326e7i −0.0100843 0.00935686i 0.675114 0.737713i \(-0.264094\pi\)
−0.685199 + 0.728356i \(0.740285\pi\)
\(158\) −1.30446e9 + 1.96616e8i −0.166523 + 0.0250993i
\(159\) 6.94226e7 9.26380e8i 0.00861417 0.114948i
\(160\) 4.23066e9 1.07795e10i 0.510350 1.30035i
\(161\) −7.49684e8 3.28458e9i −0.0879350 0.385268i
\(162\) −1.11324e8 1.48552e9i −0.0126991 0.169458i
\(163\) 3.90168e9 + 1.20351e9i 0.432919 + 0.133538i 0.503553 0.863964i \(-0.332026\pi\)
−0.0706335 + 0.997502i \(0.522502\pi\)
\(164\) 1.17134e10 5.64090e9i 1.26441 0.608907i
\(165\) 1.30701e9 2.26381e9i 0.137278 0.237773i
\(166\) 3.85716e9 + 6.68080e9i 0.394259 + 0.682877i
\(167\) 1.55517e10 + 1.06029e10i 1.54722 + 1.05488i 0.971443 + 0.237274i \(0.0762538\pi\)
0.575780 + 0.817605i \(0.304699\pi\)
\(168\) −6.47474e8 + 2.83677e9i −0.0627091 + 0.274746i
\(169\) 4.19300e9 + 6.31992e8i 0.395398 + 0.0595966i
\(170\) 2.25462e9 + 2.82721e9i 0.207040 + 0.259619i
\(171\) 4.01703e8 0.0359271
\(172\) −7.20180e9 + 6.06150e9i −0.627427 + 0.528083i
\(173\) −2.85953e9 −0.242709 −0.121355 0.992609i \(-0.538724\pi\)
−0.121355 + 0.992609i \(0.538724\pi\)
\(174\) 2.70004e9 + 3.38575e9i 0.223305 + 0.280016i
\(175\) −9.92169e9 1.49545e9i −0.799676 0.120532i
\(176\) −5.79900e8 + 2.54071e9i −0.0455561 + 0.199594i
\(177\) 7.47028e9 + 5.09315e9i 0.572080 + 0.390038i
\(178\) −3.75897e9 6.51073e9i −0.280659 0.486116i
\(179\) −1.11886e9 + 1.93792e9i −0.0814584 + 0.141090i −0.903877 0.427793i \(-0.859291\pi\)
0.822418 + 0.568883i \(0.192624\pi\)
\(180\) 1.16292e10 5.60031e9i 0.825700 0.397636i
\(181\) −1.05544e10 3.25559e9i −0.730935 0.225464i −0.0931221 0.995655i \(-0.529685\pi\)
−0.637813 + 0.770191i \(0.720161\pi\)
\(182\) −2.85993e8 3.81632e9i −0.0193212 0.257824i
\(183\) 2.42428e9 + 1.06215e10i 0.159791 + 0.700091i
\(184\) 2.20252e9 5.61192e9i 0.141657 0.360937i
\(185\) −2.32194e9 + 3.09841e10i −0.145740 + 1.94476i
\(186\) −2.20298e9 + 3.32046e8i −0.134959 + 0.0203418i
\(187\) −2.80066e9 2.59863e9i −0.167484 0.155402i
\(188\) 5.83662e9 + 2.81077e9i 0.340762 + 0.164102i
\(189\) −9.44273e9 + 6.43794e9i −0.538294 + 0.367002i
\(190\) −1.81477e8 4.62396e8i −0.0101025 0.0257408i
\(191\) −1.73336e9 + 5.34670e8i −0.0942406 + 0.0290694i −0.341517 0.939876i \(-0.610941\pi\)
0.247276 + 0.968945i \(0.420464\pi\)
\(192\) 4.90050e8 4.54700e8i 0.0260247 0.0241474i
\(193\) 8.88502e8 1.11415e9i 0.0460946 0.0578008i −0.758250 0.651964i \(-0.773945\pi\)
0.804344 + 0.594163i \(0.202517\pi\)
\(194\) 5.59573e9 7.01683e9i 0.283628 0.355658i
\(195\) 7.57501e9 7.02858e9i 0.375169 0.348106i
\(196\) 6.16726e9 1.90235e9i 0.298497 0.0920741i
\(197\) 9.84137e9 + 2.50754e10i 0.465540 + 1.18618i 0.950246 + 0.311500i \(0.100832\pi\)
−0.484706 + 0.874677i \(0.661073\pi\)
\(198\) 2.47196e9 1.68535e9i 0.114300 0.0779286i
\(199\) 1.16454e10 + 5.60813e9i 0.526399 + 0.253501i 0.678157 0.734917i \(-0.262779\pi\)
−0.151757 + 0.988418i \(0.548493\pi\)
\(200\) −1.31617e10 1.22123e10i −0.581670 0.539710i
\(201\) 2.08966e9 3.14966e8i 0.0903012 0.0136107i
\(202\) 3.89245e8 5.19411e9i 0.0164491 0.219498i
\(203\) −1.26587e10 + 3.22538e10i −0.523186 + 1.33306i
\(204\) 1.15131e9 + 5.04421e9i 0.0465432 + 0.203919i
\(205\) −4.60492e9 6.14483e10i −0.182108 2.43006i
\(206\) 1.25315e10 + 3.86544e9i 0.484841 + 0.149554i
\(207\) 9.38059e9 4.51745e9i 0.355111 0.171012i
\(208\) −5.15099e9 + 8.92178e9i −0.190812 + 0.330496i
\(209\) 2.62406e8 + 4.54501e8i 0.00951297 + 0.0164769i
\(210\) 5.13422e9 + 3.50045e9i 0.182175 + 0.124205i
\(211\) 8.19526e8 3.59058e9i 0.0284637 0.124708i −0.958700 0.284419i \(-0.908199\pi\)
0.987164 + 0.159711i \(0.0510564\pi\)
\(212\) 5.92591e9 + 8.93187e8i 0.201485 + 0.0303690i
\(213\) −3.73555e9 4.68423e9i −0.124350 0.155930i
\(214\) 1.22913e10 0.400623
\(215\) 1.42730e10 + 4.22710e10i 0.455558 + 1.34918i
\(216\) −2.04505e10 −0.639239
\(217\) −1.11139e10 1.39364e10i −0.340249 0.426659i
\(218\) 1.57584e9 + 2.37520e8i 0.0472562 + 0.00712272i
\(219\) −2.77225e8 + 1.21460e9i −0.00814394 + 0.0356809i
\(220\) 1.39330e10 + 9.49934e9i 0.400998 + 0.273396i
\(221\) −7.55151e9 1.30796e10i −0.212946 0.368833i
\(222\) 4.87659e9 8.44651e9i 0.134750 0.233393i
\(223\) −2.43269e10 + 1.17152e10i −0.658742 + 0.317233i −0.733222 0.679989i \(-0.761984\pi\)
0.0744805 + 0.997222i \(0.476270\pi\)
\(224\) −2.77916e10 8.57258e9i −0.737561 0.227507i
\(225\) −2.31725e9 3.09215e10i −0.0602769 0.804339i
\(226\) 3.76650e7 + 1.65021e8i 0.000960395 + 0.00420776i
\(227\) −2.78951e9 + 7.10756e9i −0.0697288 + 0.177666i −0.961490 0.274841i \(-0.911375\pi\)
0.891761 + 0.452507i \(0.149470\pi\)
\(228\) 5.31123e7 7.08735e8i 0.00130163 0.0173691i
\(229\) −1.33594e10 + 2.01360e9i −0.321016 + 0.0483854i −0.307574 0.951524i \(-0.599517\pi\)
−0.0134425 + 0.999910i \(0.504279\pi\)
\(230\) −9.43785e9 8.75705e9i −0.222381 0.206340i
\(231\) −5.91508e9 2.84855e9i −0.136680 0.0658218i
\(232\) −5.12282e10 + 3.49268e10i −1.16095 + 0.791521i
\(233\) −2.14620e10 5.46843e10i −0.477055 1.21552i −0.943620 0.331030i \(-0.892604\pi\)
0.466565 0.884487i \(-0.345491\pi\)
\(234\) 1.13015e10 3.48606e9i 0.246414 0.0760088i
\(235\) 2.25080e10 2.08844e10i 0.481429 0.446701i
\(236\) −3.63654e10 + 4.56008e10i −0.763105 + 0.956904i
\(237\) −5.57786e9 + 6.99441e9i −0.114842 + 0.144007i
\(238\) 6.65762e9 6.17737e9i 0.134500 0.124798i
\(239\) 2.72684e10 8.41119e9i 0.540591 0.166750i −0.0124219 0.999923i \(-0.503954\pi\)
0.553013 + 0.833173i \(0.313478\pi\)
\(240\) −6.11122e9 1.55711e10i −0.118899 0.302949i
\(241\) 8.52498e10 5.81224e10i 1.62786 1.10986i 0.717056 0.697015i \(-0.245489\pi\)
0.910803 0.412840i \(-0.135463\pi\)
\(242\) −1.68683e10 8.12333e9i −0.316156 0.152253i
\(243\) −4.03968e10 3.74827e10i −0.743222 0.689609i
\(244\) −6.94963e10 + 1.04749e10i −1.25518 + 0.189189i
\(245\) 2.28599e9 3.05045e10i 0.0405348 0.540899i
\(246\) −7.06670e9 + 1.80057e10i −0.123029 + 0.313474i
\(247\) 4.61651e8 + 2.02262e9i 0.00789182 + 0.0345763i
\(248\) −2.38367e9 3.18078e10i −0.0400141 0.533951i
\(249\) 4.99908e10 + 1.54201e10i 0.824125 + 0.254209i
\(250\) −9.34843e8 + 4.50197e8i −0.0151359 + 0.00728907i
\(251\) −1.26846e10 + 2.19703e10i −0.201718 + 0.349385i −0.949082 0.315029i \(-0.897986\pi\)
0.747364 + 0.664414i \(0.231319\pi\)
\(252\) −1.62087e10 2.80744e10i −0.253190 0.438538i
\(253\) 1.12389e10 + 7.66258e9i 0.172458 + 0.117580i
\(254\) −5.57288e9 + 2.44164e10i −0.0840094 + 0.368069i
\(255\) 2.42490e10 + 3.65495e9i 0.359140 + 0.0541316i
\(256\) −1.51391e10 1.89839e10i −0.220303 0.276252i
\(257\) 3.63907e10 0.520345 0.260173 0.965562i \(-0.416221\pi\)
0.260173 + 0.965562i \(0.416221\pi\)
\(258\) 1.72052e9 1.38988e10i 0.0241753 0.195294i
\(259\) 7.80360e10 1.07757
\(260\) 4.15629e10 + 5.21182e10i 0.564061 + 0.707310i
\(261\) −1.05883e11 1.59592e10i −1.41235 0.212878i
\(262\) −4.23159e9 + 1.85398e10i −0.0554815 + 0.243080i
\(263\) 1.12973e11 + 7.70239e10i 1.45605 + 0.992715i 0.994404 + 0.105649i \(0.0336919\pi\)
0.461642 + 0.887066i \(0.347260\pi\)
\(264\) −5.87400e9 1.01741e10i −0.0744245 0.128907i
\(265\) 1.42022e10 2.45989e10i 0.176908 0.306414i
\(266\) −1.12402e9 + 5.41298e8i −0.0137659 + 0.00662933i
\(267\) −4.87182e10 1.50276e10i −0.586666 0.180962i
\(268\) 1.01877e9 + 1.35946e10i 0.0120634 + 0.160975i
\(269\) −6.96350e9 3.05091e10i −0.0810854 0.355258i 0.918067 0.396426i \(-0.129749\pi\)
−0.999152 + 0.0411672i \(0.986892\pi\)
\(270\) −1.59559e10 + 4.06550e10i −0.182719 + 0.465561i
\(271\) 9.46214e9 1.26263e11i 0.106568 1.42205i −0.645899 0.763423i \(-0.723517\pi\)
0.752467 0.658630i \(-0.228864\pi\)
\(272\) −2.41750e10 + 3.64380e9i −0.267797 + 0.0403640i
\(273\) −1.90250e10 1.76526e10i −0.207296 0.192343i
\(274\) 1.99987e10 + 9.63085e9i 0.214350 + 0.103226i
\(275\) 3.34720e10 2.28208e10i 0.352926 0.240621i
\(276\) −6.72998e9 1.71477e10i −0.0698108 0.177875i
\(277\) 1.12482e10 3.46961e9i 0.114795 0.0354097i −0.236825 0.971552i \(-0.576107\pi\)
0.351621 + 0.936143i \(0.385631\pi\)
\(278\) −2.06829e9 + 1.91909e9i −0.0207687 + 0.0192705i
\(279\) 3.43462e10 4.30688e10i 0.339360 0.425543i
\(280\) −5.54702e10 + 6.95575e10i −0.539323 + 0.676290i
\(281\) −1.44698e11 + 1.34260e11i −1.38447 + 1.28460i −0.468433 + 0.883499i \(0.655181\pi\)
−0.916035 + 0.401099i \(0.868628\pi\)
\(282\) −9.20997e9 + 2.84090e9i −0.0867236 + 0.0267507i
\(283\) 5.37152e10 + 1.36864e11i 0.497804 + 1.26838i 0.930317 + 0.366756i \(0.119532\pi\)
−0.432514 + 0.901627i \(0.642373\pi\)
\(284\) 3.19344e10 2.17725e10i 0.291290 0.198598i
\(285\) −3.03502e9 1.46159e9i −0.0272495 0.0131227i
\(286\) 1.13268e10 + 1.05097e10i 0.100106 + 0.0928849i
\(287\) −1.53034e11 + 2.30662e10i −1.33144 + 0.200682i
\(288\) 6.71674e9 8.96287e10i 0.0575297 0.767681i
\(289\) −3.02306e10 + 7.70263e10i −0.254922 + 0.649529i
\(290\) 2.94640e10 + 1.29090e11i 0.244625 + 1.07177i
\(291\) −4.54832e9 6.06932e10i −0.0371820 0.496160i
\(292\) −7.67987e9 2.36893e9i −0.0618203 0.0190690i
\(293\) 1.46677e11 7.06360e10i 1.16267 0.559915i 0.249857 0.968283i \(-0.419616\pi\)
0.912817 + 0.408368i \(0.133902\pi\)
\(294\) −4.80111e9 + 8.31577e9i −0.0374782 + 0.0649141i
\(295\) 1.38223e11 + 2.39409e11i 1.06263 + 1.84053i
\(296\) 1.15375e11 + 7.86617e10i 0.873576 + 0.595594i
\(297\) 1.02677e10 4.49859e10i 0.0765722 0.335485i
\(298\) −2.33438e9 3.51851e8i −0.0171474 0.00258456i
\(299\) 3.35264e10 + 4.20408e10i 0.242587 + 0.304194i
\(300\) −5.48620e10 −0.391044
\(301\) 1.03190e11 4.36809e10i 0.724580 0.306720i
\(302\) 9.40339e10 0.650509
\(303\) −2.20234e10 2.76165e10i −0.150104 0.188225i
\(304\) 3.32082e9 + 5.00533e8i 0.0223005 + 0.00336126i
\(305\) −7.41246e10 + 3.24761e11i −0.490470 + 2.14889i
\(306\) 2.31901e10 + 1.58108e10i 0.151202 + 0.103088i
\(307\) −7.04256e10 1.21981e11i −0.452489 0.783734i 0.546051 0.837752i \(-0.316131\pi\)
−0.998540 + 0.0540179i \(0.982797\pi\)
\(308\) 2.11762e10 3.66783e10i 0.134082 0.232237i
\(309\) 8.01264e10 3.85869e10i 0.499992 0.240783i
\(310\) −6.50926e10 2.00784e10i −0.400317 0.123481i
\(311\) −9.48448e8 1.26562e10i −0.00574899 0.0767150i 0.993591 0.113032i \(-0.0360563\pi\)
−0.999340 + 0.0363173i \(0.988437\pi\)
\(312\) −1.03341e10 4.52767e10i −0.0617415 0.270507i
\(313\) 8.97975e10 2.28800e11i 0.528828 1.34743i −0.377951 0.925826i \(-0.623371\pi\)
0.906779 0.421607i \(-0.138534\pi\)
\(314\) −7.51149e7 + 1.00234e9i −0.000436057 + 0.00581877i
\(315\) −1.51933e11 + 2.29002e10i −0.869471 + 0.131052i
\(316\) −4.23059e10 3.92541e10i −0.238676 0.221459i
\(317\) 1.87206e11 + 9.01537e10i 1.04125 + 0.501438i 0.874735 0.484602i \(-0.161035\pi\)
0.166511 + 0.986040i \(0.446750\pi\)
\(318\) −7.36685e9 + 5.02263e9i −0.0403980 + 0.0275429i
\(319\) −5.11094e10 1.30225e11i −0.276339 0.704101i
\(320\) 1.95321e10 6.02486e9i 0.104130 0.0321197i
\(321\) 6.11027e10 5.66950e10i 0.321209 0.298039i
\(322\) −2.01608e10 + 2.52809e10i −0.104510 + 0.131051i
\(323\) −3.06970e9 + 3.84928e9i −0.0156922 + 0.0196774i
\(324\) 4.77734e10 4.43272e10i 0.240843 0.223469i
\(325\) 1.53030e11 4.72036e10i 0.760857 0.234693i
\(326\) −1.43172e10 3.64796e10i −0.0702066 0.178884i
\(327\) 8.92945e9 6.08800e9i 0.0431877 0.0294449i
\(328\) −2.49511e11 1.20158e11i −1.19030 0.573219i
\(329\) −5.65298e10 5.24520e10i −0.266009 0.246820i
\(330\) −2.48087e10 + 3.73931e9i −0.115157 + 0.0173571i
\(331\) 2.71323e10 3.62055e11i 0.124240 1.65786i −0.492215 0.870473i \(-0.663813\pi\)
0.616455 0.787390i \(-0.288568\pi\)
\(332\) −1.23297e11 + 3.14156e11i −0.556969 + 1.41913i
\(333\) 5.36635e10 + 2.35115e11i 0.239155 + 1.04781i
\(334\) −1.35001e10 1.80147e11i −0.0593580 0.792077i
\(335\) 6.17443e10 + 1.90456e10i 0.267852 + 0.0826215i
\(336\) −3.78512e10 + 1.82282e10i −0.162014 + 0.0780218i
\(337\) −1.70067e11 + 2.94564e11i −0.718266 + 1.24407i 0.243421 + 0.969921i \(0.421730\pi\)
−0.961686 + 0.274152i \(0.911603\pi\)
\(338\) −2.03490e10 3.52456e10i −0.0848044 0.146886i
\(339\) 9.48420e8 + 6.46622e8i 0.00390034 + 0.00265920i
\(340\) −3.52023e10 + 1.54231e11i −0.142862 + 0.625919i
\(341\) 7.11657e10 + 1.07265e10i 0.285021 + 0.0429599i
\(342\) −2.40384e9 3.01432e9i −0.00950141 0.0119144i
\(343\) −2.78526e11 −1.08653
\(344\) 1.96596e11 + 3.94352e10i 0.756940 + 0.151835i
\(345\) −8.73105e10 −0.331803
\(346\) 1.71118e10 + 2.14575e10i 0.0641878 + 0.0804889i
\(347\) 2.92470e10 + 4.40827e9i 0.108292 + 0.0163225i 0.202965 0.979186i \(-0.434942\pi\)
−0.0946724 + 0.995508i \(0.530180\pi\)
\(348\) −4.21569e10 + 1.84702e11i −0.154086 + 0.675093i
\(349\) −1.48182e11 1.01029e11i −0.534664 0.364528i 0.265687 0.964059i \(-0.414401\pi\)
−0.800351 + 0.599531i \(0.795354\pi\)
\(350\) 4.81509e10 + 8.33999e10i 0.171514 + 0.297070i
\(351\) 9.12037e10 1.57969e11i 0.320723 0.555509i
\(352\) 1.05797e11 5.09490e10i 0.367308 0.176886i
\(353\) 1.56183e11 + 4.81762e10i 0.535363 + 0.165138i 0.550636 0.834746i \(-0.314385\pi\)
−0.0152724 + 0.999883i \(0.504862\pi\)
\(354\) −6.48482e9 8.65339e10i −0.0219474 0.292868i
\(355\) −4.07639e10 1.78598e11i −0.136222 0.596828i
\(356\) 1.20158e11 3.06159e11i 0.396487 1.01023i
\(357\) 4.60265e9 6.14181e10i 0.0149969 0.200120i
\(358\) 2.12372e10 3.20100e9i 0.0683320 0.0102994i
\(359\) −5.30898e10 4.92602e10i −0.168689 0.156520i 0.591311 0.806444i \(-0.298611\pi\)
−0.760000 + 0.649923i \(0.774801\pi\)
\(360\) −2.47716e11 1.19294e11i −0.777306 0.374331i
\(361\) −2.66058e11 + 1.81395e11i −0.824507 + 0.562139i
\(362\) 3.87292e10 + 9.86804e10i 0.118536 + 0.302025i
\(363\) −1.21326e11 + 3.74240e10i −0.366752 + 0.113128i
\(364\) 1.22730e11 1.13877e11i 0.366434 0.340001i
\(365\) −2.37504e10 + 2.97821e10i −0.0700411 + 0.0878288i
\(366\) 6.51947e10 8.17516e10i 0.189910 0.238140i
\(367\) 1.04950e11 9.73796e10i 0.301985 0.280202i −0.514595 0.857434i \(-0.672058\pi\)
0.816580 + 0.577232i \(0.195867\pi\)
\(368\) 8.31769e10 2.56567e10i 0.236422 0.0729264i
\(369\) −1.74734e11 4.45216e11i −0.490636 1.25012i
\(370\) 2.46395e11 1.67989e11i 0.683477 0.465987i
\(371\) −6.42739e10 3.09527e10i −0.176138 0.0848234i
\(372\) −7.14462e10 6.62924e10i −0.193435 0.179482i
\(373\) −3.84743e11 + 5.79907e10i −1.02916 + 0.155120i −0.641850 0.766830i \(-0.721833\pi\)
−0.387307 + 0.921951i \(0.626595\pi\)
\(374\) −2.74026e9 + 3.65663e10i −0.00724219 + 0.0966403i
\(375\) −2.57072e9 + 6.55010e9i −0.00671297 + 0.0171044i
\(376\) −3.07063e10 1.34533e11i −0.0792286 0.347123i
\(377\) −4.13272e10 5.51473e11i −0.105366 1.40601i
\(378\) 1.04816e11 + 3.23314e10i 0.264067 + 0.0814538i
\(379\) −6.35690e11 + 3.06132e11i −1.58259 + 0.762136i −0.998762 0.0497398i \(-0.984161\pi\)
−0.583830 + 0.811876i \(0.698446\pi\)
\(380\) 1.08655e10 1.88196e10i 0.0267315 0.0463003i
\(381\) 8.49194e10 + 1.47085e11i 0.206464 + 0.357606i
\(382\) 1.43847e10 + 9.80734e9i 0.0345634 + 0.0235649i
\(383\) −1.63615e11 + 7.16845e11i −0.388534 + 1.70228i 0.281176 + 0.959656i \(0.409276\pi\)
−0.669710 + 0.742623i \(0.733581\pi\)
\(384\) −1.98089e11 2.98571e10i −0.464910 0.0700740i
\(385\) −1.25158e11 1.56943e11i −0.290326 0.364057i
\(386\) −1.36773e10 −0.0313587
\(387\) 2.02567e11 + 2.80862e11i 0.459060 + 0.636493i
\(388\) 3.92630e11 0.879511
\(389\) 1.02598e11 + 1.28654e11i 0.227178 + 0.284873i 0.882336 0.470619i \(-0.155969\pi\)
−0.655158 + 0.755492i \(0.727398\pi\)
\(390\) −9.80713e10 1.47819e10i −0.214660 0.0323548i
\(391\) −2.83957e10 + 1.24410e11i −0.0614409 + 0.269190i
\(392\) −1.13590e11 7.74441e10i −0.242969 0.165654i
\(393\) 6.44809e10 + 1.11684e11i 0.136353 + 0.236170i
\(394\) 1.29270e11 2.23903e11i 0.270250 0.468086i
\(395\) −2.46449e11 + 1.18684e11i −0.509378 + 0.245303i
\(396\) 1.25071e11 + 3.85792e10i 0.255580 + 0.0788360i
\(397\) −1.46733e10 1.95801e11i −0.0296463 0.395602i −0.992213 0.124556i \(-0.960249\pi\)
0.962566 0.271046i \(-0.0873696\pi\)
\(398\) −2.76049e10 1.20945e11i −0.0551459 0.241610i
\(399\) −3.09094e9 + 7.87558e9i −0.00610537 + 0.0155562i
\(400\) 1.93727e10 2.58511e11i 0.0378373 0.504904i
\(401\) 1.22333e11 1.84387e10i 0.236261 0.0356107i −0.0298442 0.999555i \(-0.509501\pi\)
0.266106 + 0.963944i \(0.414263\pi\)
\(402\) −1.48683e10 1.37957e10i −0.0283951 0.0263468i
\(403\) 2.56329e11 + 1.23441e11i 0.484088 + 0.233125i
\(404\) 1.88274e11 1.28363e11i 0.351620 0.239730i
\(405\) −1.12850e11 2.87537e11i −0.208427 0.531062i
\(406\) 3.17779e11 9.80218e10i 0.580441 0.179042i
\(407\) −2.30963e11 + 2.14302e11i −0.417222 + 0.387125i
\(408\) 6.87156e10 8.61666e10i 0.122768 0.153946i
\(409\) −3.35634e11 + 4.20871e11i −0.593077 + 0.743695i −0.984281 0.176609i \(-0.943487\pi\)
0.391204 + 0.920304i \(0.372059\pi\)
\(410\) −4.33543e11 + 4.02269e11i −0.757713 + 0.703055i
\(411\) 1.43841e11 4.43691e10i 0.248654 0.0766995i
\(412\) 2.09601e11 + 5.34054e11i 0.358389 + 0.913161i
\(413\) 5.73663e11 3.91116e11i 0.970245 0.661502i
\(414\) −9.00330e10 4.33576e10i −0.150626 0.0725377i
\(415\) 1.17257e12 + 1.08799e12i 1.94055 + 1.80056i
\(416\) 4.59011e11 6.91847e10i 0.751455 0.113264i
\(417\) −1.42988e9 + 1.90804e10i −0.00231573 + 0.0309012i
\(418\) 1.84024e9 4.68885e9i 0.00294836 0.00751230i
\(419\) 1.20866e11 + 5.29549e11i 0.191576 + 0.839349i 0.975764 + 0.218826i \(0.0702227\pi\)
−0.784188 + 0.620523i \(0.786920\pi\)
\(420\) 2.03152e10 + 2.71087e11i 0.0318566 + 0.425097i
\(421\) 2.82436e11 + 8.71200e10i 0.438178 + 0.135160i 0.505992 0.862538i \(-0.331126\pi\)
−0.0678143 + 0.997698i \(0.521603\pi\)
\(422\) −3.18473e10 + 1.53369e10i −0.0488840 + 0.0235413i
\(423\) 1.19159e11 2.06389e11i 0.180965 0.313440i
\(424\) −6.38275e10 1.10552e11i −0.0959095 0.166120i
\(425\) 3.14010e11 + 2.14088e11i 0.466867 + 0.318305i
\(426\) −1.27958e10 + 5.60620e10i −0.0188245 + 0.0824757i
\(427\) 8.27282e11 + 1.24693e11i 1.20428 + 0.181516i
\(428\) 3.35261e11 + 4.20404e11i 0.482932 + 0.605578i
\(429\) 1.04785e11 0.149363
\(430\) 2.31784e11 3.60058e11i 0.326945 0.507883i
\(431\) −1.16507e12 −1.62631 −0.813157 0.582044i \(-0.802253\pi\)
−0.813157 + 0.582044i \(0.802253\pi\)
\(432\) −1.84099e11 2.30853e11i −0.254317 0.318904i
\(433\) −4.40819e11 6.64428e10i −0.602650 0.0908348i −0.159371 0.987219i \(-0.550947\pi\)
−0.443279 + 0.896384i \(0.646185\pi\)
\(434\) −3.80697e10 + 1.66794e11i −0.0515081 + 0.225672i
\(435\) 7.41916e11 + 5.05830e11i 0.993466 + 0.677334i
\(436\) 3.48592e10 + 6.03779e10i 0.0461985 + 0.0800182i
\(437\) 8.76457e9 1.51807e10i 0.0114965 0.0199125i
\(438\) 1.07732e10 5.18808e9i 0.0139865 0.00673555i
\(439\) −1.33305e11 4.11192e10i −0.171300 0.0528390i 0.207919 0.978146i \(-0.433331\pi\)
−0.379219 + 0.925307i \(0.623807\pi\)
\(440\) −2.68435e10 3.58201e11i −0.0341430 0.455606i
\(441\) −5.28328e10 2.31476e11i −0.0665166 0.291428i
\(442\) −5.29582e10 + 1.34935e11i −0.0659984 + 0.168161i
\(443\) −6.93043e10 + 9.24802e11i −0.0854956 + 1.14086i 0.775192 + 0.631726i \(0.217653\pi\)
−0.860688 + 0.509133i \(0.829966\pi\)
\(444\) 4.21915e11 6.35934e10i 0.515230 0.0776585i
\(445\) −1.14272e12 1.06029e12i −1.38141 1.28176i
\(446\) 2.33485e11 + 1.12440e11i 0.279416 + 0.134560i
\(447\) −1.32277e10 + 9.01848e9i −0.0156711 + 0.0106844i
\(448\) −1.87553e10 4.77877e10i −0.0219975 0.0560487i
\(449\) −1.31211e12 + 4.04731e11i −1.52356 + 0.469957i −0.939730 0.341918i \(-0.888924\pi\)
−0.583832 + 0.811874i \(0.698447\pi\)
\(450\) −2.18164e11 + 2.02426e11i −0.250799 + 0.232708i
\(451\) 3.89590e11 4.88531e11i 0.443418 0.556029i
\(452\) −4.61692e9 + 5.78944e9i −0.00520271 + 0.00652399i
\(453\) 4.67463e11 4.33743e11i 0.521562 0.483939i
\(454\) 7.00269e10 2.16004e10i 0.0773595 0.0238622i
\(455\) −2.89912e11 7.38685e11i −0.317114 0.807993i
\(456\) −1.25086e10 + 8.52825e9i −0.0135478 + 0.00923673i
\(457\) −8.17080e11 3.93485e11i −0.876277 0.421993i −0.0590138 0.998257i \(-0.518796\pi\)
−0.817263 + 0.576264i \(0.804510\pi\)
\(458\) 9.50541e10 + 8.81973e10i 0.100943 + 0.0936614i
\(459\) 4.28044e11 6.45172e10i 0.450123 0.0678451i
\(460\) 4.20911e10 5.61667e11i 0.0438309 0.584882i
\(461\) 4.11222e11 1.04778e12i 0.424055 1.08048i −0.546042 0.837758i \(-0.683866\pi\)
0.970097 0.242717i \(-0.0780388\pi\)
\(462\) 1.40214e10 + 6.14320e10i 0.0143187 + 0.0627344i
\(463\) 5.89806e10 + 7.87042e11i 0.0596479 + 0.795946i 0.944172 + 0.329452i \(0.106864\pi\)
−0.884525 + 0.466494i \(0.845517\pi\)
\(464\) −8.55431e11 2.63866e11i −0.856750 0.264272i
\(465\) −4.16203e11 + 2.00433e11i −0.412826 + 0.198807i
\(466\) −2.81912e11 + 4.88286e11i −0.276934 + 0.479664i
\(467\) −1.67542e11 2.90191e11i −0.163004 0.282331i 0.772941 0.634478i \(-0.218785\pi\)
−0.935945 + 0.352147i \(0.885452\pi\)
\(468\) 4.27499e11 + 2.91464e11i 0.411935 + 0.280853i
\(469\) 3.61114e10 1.58214e11i 0.0344641 0.150997i
\(470\) −2.91404e11 4.39221e10i −0.275458 0.0415186i
\(471\) 4.24999e9 + 5.32932e9i 0.00397919 + 0.00498974i
\(472\) 1.24241e12 1.15219
\(473\) −1.85453e11 + 4.12661e11i −0.170357 + 0.379069i
\(474\) 8.58636e10 0.0781280
\(475\) −3.25496e10 4.08160e10i −0.0293376 0.0367882i
\(476\) 3.92883e11 + 5.92175e10i 0.350777 + 0.0528712i
\(477\) 4.90579e10 2.14937e11i 0.0433886 0.190098i
\(478\) −2.26294e11 1.54285e11i −0.198265 0.135175i
\(479\) 7.55897e11 + 1.30925e12i 0.656074 + 1.13635i 0.981623 + 0.190828i \(0.0611173\pi\)
−0.325550 + 0.945525i \(0.605549\pi\)
\(480\) −3.76859e11 + 6.52740e11i −0.324036 + 0.561248i
\(481\) −1.12216e12 + 5.40404e11i −0.955878 + 0.460327i
\(482\) −9.46288e11 2.91891e11i −0.798567 0.246325i
\(483\) 1.63871e10 + 2.18671e11i 0.0137006 + 0.182822i
\(484\) −1.82259e11 7.98527e11i −0.150968 0.661433i
\(485\) 6.79882e11 1.73231e12i 0.557951 1.42164i
\(486\) −3.95256e10 + 5.27433e11i −0.0321378 + 0.428849i
\(487\) −1.00607e12 + 1.51641e11i −0.810493 + 0.122162i −0.541198 0.840895i \(-0.682029\pi\)
−0.269296 + 0.963058i \(0.586791\pi\)
\(488\) 1.09744e12 + 1.01827e12i 0.875972 + 0.812783i
\(489\) −2.39440e11 1.15308e11i −0.189368 0.0911949i
\(490\) −2.42581e11 + 1.65389e11i −0.190097 + 0.129606i
\(491\) −5.17353e11 1.31819e12i −0.401717 1.02356i −0.978424 0.206607i \(-0.933758\pi\)
0.576707 0.816951i \(-0.304338\pi\)
\(492\) −8.08608e11 + 2.49423e11i −0.622150 + 0.191908i
\(493\) 9.62054e11 8.92655e11i 0.733480 0.680570i
\(494\) 1.24149e10 1.55678e10i 0.00937934 0.0117613i
\(495\) 3.86787e11 4.85016e11i 0.289567 0.363105i
\(496\) 3.37600e11 3.13247e11i 0.250458 0.232391i
\(497\) −4.39652e11 + 1.35615e11i −0.323225 + 0.0997017i
\(498\) −1.83441e11 4.67400e11i −0.133648 0.340531i
\(499\) −1.74285e12 + 1.18825e12i −1.25836 + 0.857938i −0.994305 0.106568i \(-0.966014\pi\)
−0.264059 + 0.964507i \(0.585061\pi\)
\(500\) −4.08973e10 1.96951e10i −0.0292638 0.0140927i
\(501\) −8.98061e11 8.33278e11i −0.636848 0.590909i
\(502\) 2.40768e11 3.62899e10i 0.169212 0.0255047i
\(503\) −2.22829e10 + 2.97345e11i −0.0155209 + 0.207112i 0.984052 + 0.177882i \(0.0569245\pi\)
−0.999573 + 0.0292299i \(0.990695\pi\)
\(504\) −2.52280e11 + 6.42799e11i −0.174159 + 0.443749i
\(505\) −2.40329e11 1.05295e12i −0.164435 0.720438i
\(506\) −9.75633e9 1.30189e11i −0.00661621 0.0882872i
\(507\) −2.63734e11 8.13511e10i −0.177268 0.0546799i
\(508\) −9.87131e11 + 4.75377e11i −0.657640 + 0.316703i
\(509\) 7.99765e11 1.38523e12i 0.528119 0.914730i −0.471343 0.881950i \(-0.656231\pi\)
0.999463 0.0327798i \(-0.0104360\pi\)
\(510\) −1.17683e11 2.03833e11i −0.0770279 0.133416i
\(511\) 7.90474e10 + 5.38936e10i 0.0512854 + 0.0349658i
\(512\) 2.98797e11 1.30911e12i 0.192159 0.841904i
\(513\) −5.87986e10 8.86247e9i −0.0374834 0.00564971i
\(514\) −2.17767e11 2.73071e11i −0.137612 0.172560i
\(515\) 2.71923e12 1.70339
\(516\) 5.22315e11 3.20260e11i 0.324346 0.198874i
\(517\) 3.11355e11 0.191667
\(518\) −4.66977e11 5.85571e11i −0.284978 0.357351i
\(519\) 1.84041e11 + 2.77398e10i 0.111343 + 0.0167822i
\(520\) 3.15975e11 1.38438e12i 0.189512 0.830307i
\(521\) −1.45469e12 9.91789e11i −0.864968 0.589725i 0.0475010 0.998871i \(-0.484874\pi\)
−0.912469 + 0.409146i \(0.865827\pi\)
\(522\) 5.13859e11 + 8.90031e11i 0.302919 + 0.524672i
\(523\) −1.18476e12 + 2.05206e12i −0.692422 + 1.19931i 0.278620 + 0.960401i \(0.410123\pi\)
−0.971042 + 0.238909i \(0.923210\pi\)
\(524\) −7.49547e11 + 3.60963e11i −0.434318 + 0.209157i
\(525\) 6.24061e11 + 1.92497e11i 0.358517 + 0.110588i
\(526\) −9.80702e10 1.30866e12i −0.0558600 0.745400i
\(527\) 1.50239e11 + 6.58239e11i 0.0848466 + 0.371737i
\(528\) 6.19698e10 1.57897e11i 0.0346999 0.0884138i
\(529\) −1.00648e11 + 1.34305e12i −0.0558797 + 0.745662i
\(530\) −2.69574e11 + 4.06317e10i −0.148401 + 0.0223678i
\(531\) 1.57289e12 + 1.45943e12i 0.858565 + 0.796632i
\(532\) −4.91733e10 2.36806e10i −0.0266150 0.0128171i
\(533\) 2.04091e12 1.39147e12i 1.09534 0.746793i
\(534\) 1.78771e11 + 4.55501e11i 0.0951397 + 0.242412i
\(535\) 2.43539e12 7.51219e11i 1.28522 0.396437i
\(536\) 2.12873e11 1.97518e11i 0.111399 0.103363i
\(537\) 9.08099e10 1.13872e11i 0.0471247 0.0590926i
\(538\) −1.87265e11 + 2.34823e11i −0.0963690 + 0.120843i
\(539\) 2.27388e11 2.10985e11i 0.116043 0.107672i
\(540\) −1.82576e12 + 5.63171e11i −0.923998 + 0.285016i
\(541\) −2.99701e11 7.63625e11i −0.150418 0.383259i 0.835727 0.549145i \(-0.185047\pi\)
−0.986145 + 0.165887i \(0.946951\pi\)
\(542\) −1.00409e12 + 6.84574e11i −0.499774 + 0.340740i
\(543\) 6.47706e11 + 3.11919e11i 0.319727 + 0.153972i
\(544\) 8.07531e11 + 7.49280e11i 0.395334 + 0.366816i
\(545\) 3.26754e11 4.92502e10i 0.158649 0.0239124i
\(546\) −1.86147e10 + 2.48396e11i −0.00896373 + 0.119613i
\(547\) −3.88435e11 + 9.89716e11i −0.185513 + 0.472681i −0.993128 0.117030i \(-0.962663\pi\)
0.807615 + 0.589710i \(0.200758\pi\)
\(548\) 2.16082e11 + 9.46717e11i 0.102354 + 0.448443i
\(549\) 1.93215e11 + 2.57827e12i 0.0907747 + 1.21130i
\(550\) −3.71545e11 1.14606e11i −0.173133 0.0534043i
\(551\) −1.62425e11 + 7.82198e10i −0.0750708 + 0.0361522i
\(552\) −1.96196e11 + 3.39821e11i −0.0899424 + 0.155785i
\(553\) 3.43501e11 + 5.94961e11i 0.156194 + 0.270536i
\(554\) −9.33462e10 6.36424e10i −0.0421020 0.0287047i
\(555\) 4.50013e11 1.97164e12i 0.201329 0.882080i
\(556\) −1.22055e11 1.83968e10i −0.0541648 0.00816404i
\(557\) −2.03760e11 2.55508e11i −0.0896957 0.112475i 0.734958 0.678112i \(-0.237202\pi\)
−0.824654 + 0.565637i \(0.808630\pi\)
\(558\) −5.28714e11 −0.230870
\(559\) −1.18138e12 + 1.34273e12i −0.511724 + 0.581614i
\(560\) −1.28454e12 −0.551954
\(561\) 1.55044e11 + 1.94419e11i 0.0660878 + 0.0828715i
\(562\) 1.87335e12 + 2.82363e11i 0.792148 + 0.119397i
\(563\) 3.86909e11 1.69516e12i 0.162301 0.711087i −0.826634 0.562739i \(-0.809748\pi\)
0.988935 0.148347i \(-0.0473953\pi\)
\(564\) −3.48383e11 2.37523e11i −0.144977 0.0988440i
\(565\) 1.75487e10 + 3.03952e10i 0.00724480 + 0.0125484i
\(566\) 7.05570e11 1.22208e12i 0.288979 0.500526i
\(567\) −6.98960e11 + 3.36602e11i −0.284007 + 0.136770i
\(568\) −7.86723e11 2.42672e11i −0.317142 0.0978255i
\(569\) 3.83588e10 + 5.11862e11i 0.0153412 + 0.204714i 0.999607 + 0.0280217i \(0.00892075\pi\)
−0.984266 + 0.176692i \(0.943460\pi\)
\(570\) 7.19438e9 + 3.15206e10i 0.00285467 + 0.0125071i
\(571\) −9.22278e11 + 2.34993e12i −0.363077 + 0.925106i 0.626280 + 0.779598i \(0.284577\pi\)
−0.989357 + 0.145508i \(0.953518\pi\)
\(572\) −5.05155e10 + 6.74083e11i −0.0197307 + 0.263288i
\(573\) 1.16747e11 1.75968e10i 0.0452429 0.00681927i
\(574\) 1.08886e12 + 1.01032e12i 0.418667 + 0.388467i
\(575\) −1.21911e12 5.87091e11i −0.465090 0.223975i
\(576\) 1.31082e11 8.93704e10i 0.0496184 0.0338293i
\(577\) 8.03672e11 + 2.04772e12i 0.301847 + 0.769095i 0.998656 + 0.0518372i \(0.0165077\pi\)
−0.696808 + 0.717258i \(0.745397\pi\)
\(578\) 7.58898e11 2.34089e11i 0.282819 0.0872380i
\(579\) −6.79928e10 + 6.30881e10i −0.0251426 + 0.0233289i
\(580\) −3.61166e12 + 4.52888e12i −1.32520 + 1.66175i
\(581\) 2.50481e12 3.14094e12i 0.911974 1.14358i
\(582\) −4.28215e11 + 3.97326e11i −0.154706 + 0.143547i
\(583\) 2.75233e11 8.48982e10i 0.0986716 0.0304362i
\(584\) 6.25451e10 + 1.59362e11i 0.0222503 + 0.0566928i
\(585\) 2.02622e12 1.38145e12i 0.715295 0.487680i
\(586\) −1.40778e12 6.77950e11i −0.493168 0.237497i
\(587\) 3.57038e12 + 3.31283e12i 1.24120 + 1.15167i 0.982610 + 0.185684i \(0.0594499\pi\)
0.258595 + 0.965986i \(0.416741\pi\)
\(588\) −4.15384e11 + 6.26091e10i −0.143302 + 0.0215993i
\(589\) 6.93084e9 9.24856e10i 0.00237283 0.0316632i
\(590\) 9.69349e11 2.46986e12i 0.329341 0.839148i
\(591\) −3.90146e11 1.70934e12i −0.131548 0.576349i
\(592\) 1.50668e11 + 2.01053e12i 0.0504167 + 0.672764i
\(593\) −2.63316e12 8.12223e11i −0.874443 0.269730i −0.175130 0.984545i \(-0.556035\pi\)
−0.699313 + 0.714815i \(0.746511\pi\)
\(594\) −3.99011e11 + 1.92154e11i −0.131506 + 0.0633300i
\(595\) 9.41591e11 1.63088e12i 0.307989 0.533453i
\(596\) −5.16388e10 8.94410e10i −0.0167636 0.0290355i
\(597\) −6.95104e11 4.73914e11i −0.223957 0.152691i
\(598\) 1.14842e11 5.03155e11i 0.0367236 0.160896i
\(599\) 1.70078e12 + 2.56352e11i 0.539794 + 0.0813608i 0.413280 0.910604i \(-0.364383\pi\)
0.126514 + 0.991965i \(0.459621\pi\)
\(600\) 7.28627e11 + 9.13670e11i 0.229522 + 0.287812i
\(601\) 5.18640e12 1.62155 0.810776 0.585357i \(-0.199045\pi\)
0.810776 + 0.585357i \(0.199045\pi\)
\(602\) −9.45274e11 5.12928e11i −0.293342 0.159174i
\(603\) 5.01518e11 0.154475
\(604\) 2.56490e12 + 3.21628e12i 0.784159 + 0.983304i
\(605\) −3.83876e12 5.78599e11i −1.16491 0.175582i
\(606\) −7.54393e10 + 3.30521e11i −0.0227233 + 0.0995572i
\(607\) −1.44394e12 9.84464e11i −0.431719 0.294341i 0.327896 0.944714i \(-0.393660\pi\)
−0.759615 + 0.650373i \(0.774613\pi\)
\(608\) −7.56613e10 1.31049e11i −0.0224547 0.0388927i
\(609\) 1.12761e12 1.95308e12i 0.332186 0.575364i
\(610\) 2.88053e12 1.38719e12i 0.842341 0.405650i
\(611\) 1.17614e12 + 3.62790e11i 0.341407 + 0.105310i
\(612\) 9.17591e10 + 1.22444e12i 0.0264404 + 0.352823i
\(613\) 1.12812e12 + 4.94261e12i 0.322688 + 1.41379i 0.832749 + 0.553650i \(0.186766\pi\)
−0.510061 + 0.860138i \(0.670377\pi\)
\(614\) −4.93890e11 + 1.25841e12i −0.140240 + 0.357327i
\(615\) −2.99724e11 + 3.99954e12i −0.0844857 + 1.12738i
\(616\) −8.92083e11 + 1.34460e11i −0.249627 + 0.0376253i
\(617\) −3.99381e12 3.70571e12i −1.10944 1.02941i −0.999370 0.0354865i \(-0.988702\pi\)
−0.110070 0.993924i \(-0.535108\pi\)
\(618\) −7.69037e11 3.70349e11i −0.212080 0.102132i
\(619\) 5.70665e12 3.89073e12i 1.56233 1.06518i 0.597651 0.801756i \(-0.296101\pi\)
0.964680 0.263423i \(-0.0848516\pi\)
\(620\) −1.08874e12 2.77405e12i −0.295910 0.753967i
\(621\) −1.47273e12 + 4.54278e11i −0.397386 + 0.122577i
\(622\) −8.92944e10 + 8.28531e10i −0.0239203 + 0.0221948i
\(623\) −2.44105e12 + 3.06098e12i −0.649203 + 0.814075i
\(624\) 4.18071e11 5.24244e11i 0.110387 0.138421i
\(625\) 2.71643e12 2.52048e12i 0.712096 0.660729i
\(626\) −2.25424e12 + 6.95342e11i −0.586700 + 0.180973i
\(627\) −1.24796e10 3.17976e10i −0.00322477 0.00821657i
\(628\) −3.63323e10 + 2.47709e10i −0.00932125 + 0.00635512i
\(629\) −2.66305e12 1.28246e12i −0.678346 0.326674i
\(630\) 1.08103e12 + 1.00305e12i 0.273404 + 0.253681i
\(631\) 3.19323e12 4.81301e11i 0.801858 0.120861i 0.264687 0.964334i \(-0.414731\pi\)
0.537171 + 0.843474i \(0.319493\pi\)
\(632\) −9.18684e10 + 1.22590e12i −0.0229055 + 0.305652i
\(633\) −8.75770e10 + 2.23143e11i −0.0216807 + 0.0552415i
\(634\) −4.43764e11 1.94426e12i −0.109081 0.477917i
\(635\) 3.88072e11 + 5.17846e12i 0.0947175 + 1.26392i
\(636\) −3.72732e11 1.14973e11i −0.0903315 0.0278636i
\(637\) 1.10479e12 5.32040e11i 0.265860 0.128031i
\(638\) −6.71342e11 + 1.16280e12i −0.160417 + 0.277851i
\(639\) −7.10932e11 1.23137e12i −0.168684 0.292169i
\(640\) −5.06084e12 3.45042e12i −1.19238 0.812948i
\(641\) 1.11361e12 4.87903e12i 0.260538 1.14149i −0.660132 0.751149i \(-0.729500\pi\)
0.920670 0.390342i \(-0.127643\pi\)
\(642\) −7.91078e11 1.19236e11i −0.183786 0.0277012i
\(643\) −1.78523e12 2.23861e12i −0.411856 0.516452i 0.532028 0.846727i \(-0.321430\pi\)
−0.943885 + 0.330275i \(0.892859\pi\)
\(644\) −1.41460e12 −0.324077
\(645\) −5.08561e11 2.85905e12i −0.115698 0.650435i
\(646\) 4.72539e10 0.0106756
\(647\) −4.81179e12 6.03380e12i −1.07954 1.35370i −0.931095 0.364777i \(-0.881145\pi\)
−0.148443 0.988921i \(-0.547426\pi\)
\(648\) −1.37271e12 2.06902e11i −0.305837 0.0460975i
\(649\) −6.23784e11 + 2.73298e12i −0.138017 + 0.604692i
\(650\) −1.26996e12 8.65846e11i −0.279049 0.190253i
\(651\) 5.80105e11 + 1.00477e12i 0.126588 + 0.219256i
\(652\) 8.57206e11 1.48472e12i 0.185768 0.321760i
\(653\) −3.61013e12 + 1.73854e12i −0.776986 + 0.374177i −0.779968 0.625819i \(-0.784765\pi\)
0.00298270 + 0.999996i \(0.499051\pi\)
\(654\) −9.91184e10 3.05740e10i −0.0211863 0.00653510i
\(655\) 2.94670e11 + 3.93210e12i 0.0625533 + 0.834716i
\(656\) −8.89752e11 3.89826e12i −0.187587 0.821870i
\(657\) −1.08017e11 + 2.75224e11i −0.0226177 + 0.0576290i
\(658\) −5.53108e10 + 7.38071e11i −0.0115025 + 0.153491i
\(659\) −4.27775e12 + 6.44767e11i −0.883550 + 0.133174i −0.575116 0.818072i \(-0.695043\pi\)
−0.308434 + 0.951246i \(0.599805\pi\)
\(660\) −8.04586e11 7.46547e11i −0.165054 0.153147i
\(661\) −2.67895e11 1.29011e11i −0.0545830 0.0262858i 0.406393 0.913698i \(-0.366786\pi\)
−0.460976 + 0.887413i \(0.652501\pi\)
\(662\) −2.87917e12 + 1.96299e12i −0.582649 + 0.397243i
\(663\) 3.59138e11 + 9.15070e11i 0.0721857 + 0.183926i
\(664\) 6.86946e12 2.11895e12i 1.37141 0.423023i
\(665\) −1.89629e11 + 1.75950e11i −0.0376018 + 0.0348893i
\(666\) 1.44314e12 1.80964e12i 0.284233 0.356417i
\(667\) −2.91332e12 + 3.65319e12i −0.569931 + 0.714670i
\(668\) 5.79340e12 5.37549e12i 1.12574 1.04454i
\(669\) 1.67935e12 5.18010e11i 0.324133 0.0999817i
\(670\) −2.26570e11 5.77292e11i −0.0434377 0.110677i
\(671\) −2.79093e12 + 1.90283e12i −0.531494 + 0.362366i
\(672\) 1.70553e12 + 8.21340e11i 0.322625 + 0.155368i
\(673\) −5.47858e12 5.08338e12i −1.02944 0.955179i −0.0304221 0.999537i \(-0.509685\pi\)
−0.999016 + 0.0443585i \(0.985876\pi\)
\(674\) 3.22807e12 4.86553e11i 0.602523 0.0908157i
\(675\) −3.43014e11 + 4.57721e12i −0.0635983 + 0.848660i
\(676\) 6.50472e11 1.65738e12i 0.119803 0.305254i
\(677\) −3.08331e10 1.35088e11i −0.00564115 0.0247155i 0.972029 0.234861i \(-0.0754634\pi\)
−0.977670 + 0.210145i \(0.932606\pi\)
\(678\) −8.23307e8 1.09863e10i −0.000149633 0.00199672i
\(679\) −4.46621e12 1.37764e12i −0.806354 0.248727i
\(680\) 3.03609e12 1.46211e12i 0.544534 0.262234i
\(681\) 2.48485e11 4.30388e11i 0.0442728 0.0766828i
\(682\) −3.45375e11 5.98206e11i −0.0611309 0.105882i
\(683\) −6.39969e12 4.36323e12i −1.12529 0.767212i −0.150122 0.988667i \(-0.547967\pi\)
−0.975170 + 0.221456i \(0.928919\pi\)
\(684\) 3.75322e10 1.64439e11i 0.00655618 0.0287245i
\(685\) 4.55115e12 + 6.85975e11i 0.789793 + 0.119042i
\(686\) 1.66674e12 + 2.09002e12i 0.287348 + 0.360323i
\(687\) 8.79355e11 0.150612
\(688\) 1.32463e12 + 2.57425e12i 0.225397 + 0.438029i
\(689\) 1.13861e12 0.192481
\(690\) 5.22477e11 + 6.55166e11i 0.0877499 + 0.110035i
\(691\) 9.85898e12 + 1.48600e12i 1.64506 + 0.247952i 0.905253 0.424872i \(-0.139681\pi\)
0.739802 + 0.672824i \(0.234919\pi\)
\(692\) −2.67173e11 + 1.17056e12i −0.0442910 + 0.194051i
\(693\) −1.28733e12 8.77685e11i −0.212026 0.144557i
\(694\) −1.41938e11 2.45845e11i −0.0232264 0.0402294i
\(695\) −2.92519e11 + 5.06657e11i −0.0475578 + 0.0823725i
\(696\) 3.63590e12 1.75096e12i 0.587315 0.282836i
\(697\) 5.60151e12 + 1.72784e12i 0.898995 + 0.277303i
\(698\) 1.28634e11 + 1.71651e12i 0.0205120 + 0.273713i
\(699\) 8.50829e11 + 3.72773e12i 0.134802 + 0.590604i
\(700\) −1.53918e12 + 3.92177e12i −0.242297 + 0.617363i
\(701\) 6.30038e11 8.40728e12i 0.0985453 1.31500i −0.700469 0.713683i \(-0.747026\pi\)
0.799014 0.601313i \(-0.205355\pi\)
\(702\) −1.73115e12 + 2.60930e11i −0.269041 + 0.0405514i
\(703\) 2.97634e11 + 2.76164e11i 0.0459604 + 0.0426450i
\(704\) 1.86744e11 + 8.99314e10i 0.0286530 + 0.0137986i
\(705\) −1.65123e12 + 1.12579e12i −0.251743 + 0.171635i
\(706\) −5.73114e11 1.46027e12i −0.0868200 0.221214i
\(707\) −2.59202e12 + 7.99534e11i −0.390168 + 0.120351i
\(708\) 2.78287e12 2.58213e12i 0.416240 0.386214i
\(709\) −6.48276e12 + 8.12913e12i −0.963501 + 1.20819i 0.0145643 + 0.999894i \(0.495364\pi\)
−0.978065 + 0.208298i \(0.933208\pi\)
\(710\) −1.09624e12 + 1.37464e12i −0.161898 + 0.203014i
\(711\) −1.55634e12 + 1.44408e12i −0.228398 + 0.211922i
\(712\) −6.69459e12 + 2.06501e12i −0.976257 + 0.301135i
\(713\) −8.78221e11 2.23767e12i −0.127263 0.324260i
\(714\) −4.88416e11 + 3.32996e11i −0.0703311 + 0.0479510i
\(715\) 2.88662e12 + 1.39013e12i 0.413060 + 0.198919i
\(716\) 6.88758e11 + 6.39074e11i 0.0979396 + 0.0908746i
\(717\) −1.83661e12 + 2.76825e11i −0.259526 + 0.0391173i
\(718\) −5.19450e10 + 6.93157e11i −0.00729430 + 0.0973356i
\(719\) 1.01551e12 2.58748e12i 0.141712 0.361075i −0.842343 0.538942i \(-0.818824\pi\)
0.984055 + 0.177867i \(0.0569195\pi\)
\(720\) −8.83350e11 3.87021e12i −0.122500 0.536708i
\(721\) −5.10366e11 6.81036e12i −0.0703352 0.938558i
\(722\) 2.95329e12 + 9.10970e11i 0.404472 + 0.124763i
\(723\) −6.05059e12 + 2.91381e12i −0.823522 + 0.396587i
\(724\) −2.31882e12 + 4.01631e12i −0.313648 + 0.543255i
\(725\) 6.95801e12 + 1.20516e13i 0.935328 + 1.62004i
\(726\) 1.00685e12 + 6.86461e11i 0.134509 + 0.0917067i
\(727\) −5.15172e11 + 2.25712e12i −0.0683986 + 0.299674i −0.997544 0.0700402i \(-0.977687\pi\)
0.929146 + 0.369714i \(0.120544\pi\)
\(728\) −3.52650e12 5.31534e11i −0.465321 0.0701358i
\(729\) 3.31580e11 + 4.15788e11i 0.0434825 + 0.0545253i
\(730\) 3.65606e11 0.0476497
\(731\) −4.23930e12 2.05186e11i −0.549118 0.0265778i
\(732\) 4.57446e12 0.588897
\(733\) −4.26075e12 5.34282e12i −0.545153 0.683601i 0.430583 0.902551i \(-0.358308\pi\)
−0.975736 + 0.218951i \(0.929737\pi\)
\(734\) −1.35876e12 2.04800e11i −0.172786 0.0260434i
\(735\) −4.43047e11 + 1.94112e12i −0.0559960 + 0.245335i
\(736\) −3.24059e12 2.20940e12i −0.407075 0.277539i
\(737\) 3.27609e11 + 5.67436e11i 0.0409027 + 0.0708456i
\(738\) −2.29520e12 + 3.97541e12i −0.284818 + 0.493319i
\(739\) −1.89722e12 + 9.13651e11i −0.234000 + 0.112689i −0.547210 0.836995i \(-0.684310\pi\)
0.313210 + 0.949684i \(0.398596\pi\)
\(740\) 1.24665e13 + 3.84542e12i 1.52828 + 0.471412i
\(741\) −1.00911e10 1.34656e11i −0.00122958 0.0164076i
\(742\) 1.52359e11 + 6.67527e11i 0.0184523 + 0.0808446i
\(743\) 8.15098e11 2.07683e12i 0.0981205 0.250007i −0.873382 0.487036i \(-0.838078\pi\)
0.971503 + 0.237028i \(0.0761735\pi\)
\(744\) −1.55148e11 + 2.07030e12i −0.0185638 + 0.247717i
\(745\) −4.84038e11 + 7.29570e10i −0.0575674 + 0.00867688i
\(746\) 2.73751e12 + 2.54004e12i 0.323616 + 0.300272i
\(747\) 1.11858e13 + 5.38682e12i 1.31440 + 0.632979i
\(748\) −1.32544e12 + 9.03667e11i −0.154811 + 0.105548i
\(749\) −2.33854e12 5.95849e12i −0.271504 0.691780i