Properties

Label 43.10.g.a.9.2
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 9.2
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-27.0878 - 33.9670i) q^{2} +(238.836 + 35.9987i) q^{3} +(-306.078 + 1341.02i) q^{4} +(-1078.90 - 735.578i) q^{5} +(-5246.77 - 9087.66i) q^{6} +(-2254.62 + 3905.12i) q^{7} +(33800.1 - 16277.3i) q^{8} +(36938.2 + 11393.9i) q^{9} +O(q^{10})\) \(q+(-27.0878 - 33.9670i) q^{2} +(238.836 + 35.9987i) q^{3} +(-306.078 + 1341.02i) q^{4} +(-1078.90 - 735.578i) q^{5} +(-5246.77 - 9087.66i) q^{6} +(-2254.62 + 3905.12i) q^{7} +(33800.1 - 16277.3i) q^{8} +(36938.2 + 11393.9i) q^{9} +(4239.49 + 56572.0i) q^{10} +(-19955.4 - 87430.3i) q^{11} +(-121377. + 309265. i) q^{12} +(-3071.37 + 40984.6i) q^{13} +(193718. - 29198.3i) q^{14} +(-231199. - 214521. i) q^{15} +(-833945. - 401607. i) q^{16} +(-23178.7 + 15802.9i) q^{17} +(-613556. - 1.56331e6i) q^{18} +(-528894. + 163142. i) q^{19} +(1.31665e6 - 1.22167e6i) q^{20} +(-679065. + 851520. i) q^{21} +(-2.42920e6 + 3.04612e6i) q^{22} +(-1.58069e6 + 1.46666e6i) q^{23} +(8.65864e6 - 2.67084e6i) q^{24} +(-90617.2 - 230889. i) q^{25} +(1.47532e6 - 1.00586e6i) q^{26} +(4.12869e6 + 1.98827e6i) q^{27} +(-4.54675e6 - 4.21876e6i) q^{28} +(-1.62250e6 + 244553. i) q^{29} +(-1.02398e6 + 1.36640e7i) q^{30} +(-2.58328e6 + 6.58209e6i) q^{31} +(4.67420e6 + 2.04790e7i) q^{32} +(-1.61869e6 - 2.15999e7i) q^{33} +(1.16464e6 + 359243. i) q^{34} +(5.30503e6 - 2.55477e6i) q^{35} +(-2.65854e7 + 4.60473e7i) q^{36} +(-2.73620e6 - 4.73924e6i) q^{37} +(1.98680e7 + 1.35458e7i) q^{38} +(-2.20895e6 + 9.67804e6i) q^{39} +(-4.84400e7 - 7.30115e6i) q^{40} +(-4.56597e6 - 5.72554e6i) q^{41} +4.73179e7 q^{42} +(-2.15517e7 + 6.17382e6i) q^{43} +1.23353e8 q^{44} +(-3.14713e7 - 3.94638e7i) q^{45} +(9.26354e7 + 1.39625e7i) q^{46} +(1.82315e6 - 7.98775e6i) q^{47} +(-1.84719e8 - 1.25939e8i) q^{48} +(1.00101e7 + 1.73381e7i) q^{49} +(-5.38798e6 + 9.33225e6i) q^{50} +(-6.10478e6 + 2.93991e6i) q^{51} +(-5.40210e7 - 1.66633e7i) q^{52} +(-2.52455e6 - 3.36877e7i) q^{53} +(-4.43014e7 - 1.94097e8i) q^{54} +(-4.27821e7 + 1.09007e8i) q^{55} +(-1.26418e7 + 1.68693e8i) q^{56} +(-1.32192e8 + 1.99247e7i) q^{57} +(5.22568e7 + 4.84872e7i) q^{58} +(-1.07680e8 - 5.18557e7i) q^{59} +(3.58442e8 - 2.44382e8i) q^{60} +(4.95137e7 + 1.26159e8i) q^{61} +(2.93549e8 - 9.05479e7i) q^{62} +(-1.27776e8 + 1.18559e8i) q^{63} +(2.73517e8 - 3.42979e8i) q^{64} +(3.34611e7 - 4.19589e7i) q^{65} +(-6.89836e8 + 6.40074e8i) q^{66} +(-3.08028e7 + 9.50141e6i) q^{67} +(-1.40975e7 - 3.59199e7i) q^{68} +(-4.30323e8 + 2.93389e8i) q^{69} +(-2.30479e8 - 1.10993e8i) q^{70} +(7.30297e7 + 6.77616e7i) q^{71} +(1.43398e9 - 2.16137e8i) q^{72} +(3.30278e7 - 4.40726e8i) q^{73} +(-8.68601e7 + 2.21316e8i) q^{74} +(-1.33309e7 - 5.84066e7i) q^{75} +(-5.68934e7 - 7.59190e8i) q^{76} +(3.86418e8 + 1.19194e8i) q^{77} +(3.88569e8 - 1.87125e8i) q^{78} +(3.85606e7 - 6.67889e7i) q^{79} +(6.04326e8 + 1.04672e9i) q^{80} +(2.85856e8 + 1.94893e8i) q^{81} +(-7.07975e7 + 3.10184e8i) q^{82} +(-6.24362e8 - 9.41075e7i) q^{83} +(-9.34056e8 - 1.17127e9i) q^{84} +3.66317e7 q^{85} +(7.93494e8 + 5.64812e8i) q^{86} -3.96316e8 q^{87} +(-2.09762e9 - 2.63033e9i) q^{88} +(4.75517e8 + 7.16726e7i) q^{89} +(-4.87978e8 + 2.13797e9i) q^{90} +(-1.53125e8 - 1.04399e8i) q^{91} +(-1.48301e9 - 2.56864e9i) q^{92} +(-8.53927e8 + 1.47904e9i) q^{93} +(-3.20705e8 + 1.54443e8i) q^{94} +(6.90625e8 + 2.13029e8i) q^{95} +(3.79149e8 + 5.05939e9i) q^{96} +(5.02343e7 + 2.20091e8i) q^{97} +(3.17770e8 - 8.09664e8i) q^{98} +(2.59058e8 - 3.45689e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −27.0878 33.9670i −1.19712 1.50114i −0.817428 0.576031i \(-0.804601\pi\)
−0.379694 0.925112i \(-0.623971\pi\)
\(3\) 238.836 + 35.9987i 1.70237 + 0.256591i 0.927039 0.374964i \(-0.122345\pi\)
0.775331 + 0.631555i \(0.217583\pi\)
\(4\) −306.078 + 1341.02i −0.597809 + 2.61917i
\(5\) −1078.90 735.578i −0.771995 0.526337i 0.112071 0.993700i \(-0.464252\pi\)
−0.884065 + 0.467363i \(0.845204\pi\)
\(6\) −5246.77 9087.66i −1.65276 2.86267i
\(7\) −2254.62 + 3905.12i −0.354922 + 0.614743i −0.987105 0.160076i \(-0.948826\pi\)
0.632183 + 0.774819i \(0.282159\pi\)
\(8\) 33800.1 16277.3i 2.91752 1.40500i
\(9\) 36938.2 + 11393.9i 1.87665 + 0.578871i
\(10\) 4239.49 + 56572.0i 0.134064 + 1.78896i
\(11\) −19955.4 87430.3i −0.410954 1.80051i −0.579679 0.814845i \(-0.696822\pi\)
0.168725 0.985663i \(-0.446035\pi\)
\(12\) −121377. + 309265.i −1.68975 + 4.30541i
\(13\) −3071.37 + 40984.6i −0.0298255 + 0.397993i 0.962234 + 0.272224i \(0.0877591\pi\)
−0.992059 + 0.125770i \(0.959860\pi\)
\(14\) 193718. 29198.3i 1.34770 0.203133i
\(15\) −231199. 214521.i −1.17917 1.09411i
\(16\) −833945. 401607.i −3.18125 1.53201i
\(17\) −23178.7 + 15802.9i −0.0673082 + 0.0458900i −0.596507 0.802608i \(-0.703445\pi\)
0.529198 + 0.848498i \(0.322493\pi\)
\(18\) −613556. 1.56331e6i −1.37761 3.51010i
\(19\) −528894. + 163142.i −0.931059 + 0.287194i −0.722941 0.690910i \(-0.757210\pi\)
−0.208118 + 0.978104i \(0.566734\pi\)
\(20\) 1.31665e6 1.22167e6i 1.84007 1.70734i
\(21\) −679065. + 851520.i −0.761946 + 0.955451i
\(22\) −2.42920e6 + 3.04612e6i −2.21086 + 2.77233i
\(23\) −1.58069e6 + 1.46666e6i −1.17780 + 1.09284i −0.183853 + 0.982954i \(0.558857\pi\)
−0.993945 + 0.109882i \(0.964953\pi\)
\(24\) 8.65864e6 2.67084e6i 5.32720 1.64322i
\(25\) −90617.2 230889.i −0.0463960 0.118215i
\(26\) 1.47532e6 1.00586e6i 0.633150 0.431674i
\(27\) 4.12869e6 + 1.98827e6i 1.49512 + 0.720011i
\(28\) −4.54675e6 4.21876e6i −1.39794 1.29710i
\(29\) −1.62250e6 + 244553.i −0.425986 + 0.0642070i −0.358537 0.933516i \(-0.616724\pi\)
−0.0674492 + 0.997723i \(0.521486\pi\)
\(30\) −1.02398e6 + 1.36640e7i −0.230805 + 3.07988i
\(31\) −2.58328e6 + 6.58209e6i −0.502393 + 1.28008i 0.424730 + 0.905320i \(0.360369\pi\)
−0.927123 + 0.374757i \(0.877726\pi\)
\(32\) 4.67420e6 + 2.04790e7i 0.788011 + 3.45250i
\(33\) −1.61869e6 2.15999e7i −0.237602 3.17058i
\(34\) 1.16464e6 + 359243.i 0.149464 + 0.0461034i
\(35\) 5.30503e6 2.55477e6i 0.597560 0.287770i
\(36\) −2.65854e7 + 4.60473e7i −2.63804 + 4.56923i
\(37\) −2.73620e6 4.73924e6i −0.240016 0.415720i 0.720703 0.693244i \(-0.243819\pi\)
−0.960719 + 0.277524i \(0.910486\pi\)
\(38\) 1.98680e7 + 1.35458e7i 1.54571 + 1.05385i
\(39\) −2.20895e6 + 9.67804e6i −0.152896 + 0.669879i
\(40\) −4.84400e7 7.30115e6i −2.99181 0.450943i
\(41\) −4.56597e6 5.72554e6i −0.252351 0.316438i 0.639479 0.768808i \(-0.279150\pi\)
−0.891830 + 0.452370i \(0.850579\pi\)
\(42\) 4.73179e7 2.34641
\(43\) −2.15517e7 + 6.17382e6i −0.961333 + 0.275389i
\(44\) 1.23353e8 4.96152
\(45\) −3.14713e7 3.94638e7i −1.14409 1.43464i
\(46\) 9.26354e7 + 1.39625e7i 3.05047 + 0.459784i
\(47\) 1.82315e6 7.98775e6i 0.0544982 0.238772i −0.940341 0.340232i \(-0.889494\pi\)
0.994840 + 0.101460i \(0.0323514\pi\)
\(48\) −1.84719e8 1.25939e8i −5.02256 3.42433i
\(49\) 1.00101e7 + 1.73381e7i 0.248061 + 0.429654i
\(50\) −5.38798e6 + 9.33225e6i −0.121916 + 0.211165i
\(51\) −6.10478e6 + 2.93991e6i −0.126359 + 0.0608510i
\(52\) −5.40210e7 1.66633e7i −1.02458 0.316042i
\(53\) −2.52455e6 3.36877e7i −0.0439483 0.586449i −0.975093 0.221798i \(-0.928807\pi\)
0.931144 0.364651i \(-0.118812\pi\)
\(54\) −4.43014e7 1.94097e8i −0.708999 3.10633i
\(55\) −4.27821e7 + 1.09007e8i −0.630419 + 1.60628i
\(56\) −1.26418e7 + 1.68693e8i −0.171776 + 2.29219i
\(57\) −1.32192e8 + 1.99247e7i −1.65870 + 0.250009i
\(58\) 5.22568e7 + 4.84872e7i 0.606341 + 0.562602i
\(59\) −1.07680e8 5.18557e7i −1.15691 0.557138i −0.245807 0.969319i \(-0.579053\pi\)
−0.911102 + 0.412181i \(0.864767\pi\)
\(60\) 3.58442e8 2.44382e8i 3.57058 2.43438i
\(61\) 4.95137e7 + 1.26159e8i 0.457869 + 1.16663i 0.954378 + 0.298600i \(0.0965197\pi\)
−0.496509 + 0.868032i \(0.665385\pi\)
\(62\) 2.93549e8 9.05479e7i 2.52300 0.778244i
\(63\) −1.27776e8 + 1.18559e8i −1.02192 + 0.948205i
\(64\) 2.73517e8 3.42979e8i 2.03786 2.55540i
\(65\) 3.34611e7 4.19589e7i 0.232504 0.291551i
\(66\) −6.89836e8 + 6.40074e8i −4.47505 + 4.15224i
\(67\) −3.08028e7 + 9.50141e6i −0.186747 + 0.0576039i −0.386718 0.922198i \(-0.626391\pi\)
0.199971 + 0.979802i \(0.435915\pi\)
\(68\) −1.40975e7 3.59199e7i −0.0799564 0.203725i
\(69\) −4.30323e8 + 2.93389e8i −2.28546 + 1.55820i
\(70\) −2.30479e8 1.10993e8i −1.14734 0.552528i
\(71\) 7.30297e7 + 6.77616e7i 0.341065 + 0.316462i 0.832044 0.554709i \(-0.187171\pi\)
−0.490980 + 0.871171i \(0.663361\pi\)
\(72\) 1.43398e9 2.16137e8i 6.28848 0.947836i
\(73\) 3.30278e7 4.40726e8i 0.136122 1.81642i −0.343732 0.939068i \(-0.611691\pi\)
0.479854 0.877348i \(-0.340690\pi\)
\(74\) −8.68601e7 + 2.21316e8i −0.336727 + 0.857966i
\(75\) −1.33309e7 5.84066e7i −0.0486502 0.213151i
\(76\) −5.68934e7 7.59190e8i −0.195614 2.61029i
\(77\) 3.86418e8 + 1.19194e8i 1.25271 + 0.386409i
\(78\) 3.88569e8 1.87125e8i 1.18862 0.572409i
\(79\) 3.85606e7 6.67889e7i 0.111384 0.192922i −0.804945 0.593350i \(-0.797805\pi\)
0.916328 + 0.400428i \(0.131138\pi\)
\(80\) 6.04326e8 + 1.04672e9i 1.64955 + 2.85711i
\(81\) 2.85856e8 + 1.94893e8i 0.737843 + 0.503053i
\(82\) −7.07975e7 + 3.10184e8i −0.172924 + 0.757630i
\(83\) −6.24362e8 9.41075e7i −1.44406 0.217657i −0.620197 0.784446i \(-0.712947\pi\)
−0.823863 + 0.566789i \(0.808185\pi\)
\(84\) −9.34056e8 1.17127e9i −2.04699 2.56685i
\(85\) 3.66317e7 0.0761152
\(86\) 7.93494e8 + 5.64812e8i 1.56423 + 1.11342i
\(87\) −3.96316e8 −0.741660
\(88\) −2.09762e9 2.63033e9i −3.72868 4.67562i
\(89\) 4.75517e8 + 7.16726e7i 0.803361 + 0.121087i 0.537872 0.843027i \(-0.319229\pi\)
0.265489 + 0.964114i \(0.414467\pi\)
\(90\) −4.87978e8 + 2.13797e9i −0.783987 + 3.43487i
\(91\) −1.53125e8 1.04399e8i −0.234078 0.159592i
\(92\) −1.48301e9 2.56864e9i −2.15823 3.73816i
\(93\) −8.53927e8 + 1.47904e9i −1.18372 + 2.05026i
\(94\) −3.20705e8 + 1.54443e8i −0.423673 + 0.204030i
\(95\) 6.90625e8 + 2.13029e8i 0.869933 + 0.268339i
\(96\) 3.79149e8 + 5.05939e9i 0.455605 + 6.07963i
\(97\) 5.02343e7 + 2.20091e8i 0.0576140 + 0.252423i 0.995531 0.0944368i \(-0.0301050\pi\)
−0.937917 + 0.346860i \(0.887248\pi\)
\(98\) 3.17770e8 8.09664e8i 0.348013 0.886722i
\(99\) 2.59058e8 3.45689e9i 0.271043 3.61682i
\(100\) 3.37362e8 5.08491e7i 0.337362 0.0508491i
\(101\) −7.34077e7 6.81124e7i −0.0701933 0.0651299i 0.644296 0.764776i \(-0.277150\pi\)
−0.714489 + 0.699646i \(0.753341\pi\)
\(102\) 2.65225e8 + 1.27726e8i 0.242613 + 0.116836i
\(103\) 7.18661e8 4.89975e8i 0.629154 0.428950i −0.206317 0.978485i \(-0.566148\pi\)
0.835470 + 0.549536i \(0.185195\pi\)
\(104\) 5.63305e8 + 1.43528e9i 0.472165 + 1.20306i
\(105\) 1.35900e9 4.19196e8i 1.09111 0.336562i
\(106\) −1.07589e9 + 9.98276e8i −0.827732 + 0.768023i
\(107\) −8.08502e8 + 1.01383e9i −0.596285 + 0.747718i −0.984794 0.173727i \(-0.944419\pi\)
0.388508 + 0.921445i \(0.372990\pi\)
\(108\) −3.93001e9 + 4.92808e9i −2.77963 + 3.48555i
\(109\) 5.09666e8 4.72901e8i 0.345833 0.320886i −0.488062 0.872809i \(-0.662296\pi\)
0.833895 + 0.551923i \(0.186106\pi\)
\(110\) 4.86151e9 1.49958e9i 3.16595 0.976566i
\(111\) −4.82897e8 1.23040e9i −0.301926 0.769295i
\(112\) 3.44856e9 2.35119e9i 2.07089 1.41191i
\(113\) −7.19550e7 3.46517e7i −0.0415153 0.0199927i 0.413011 0.910726i \(-0.364477\pi\)
−0.454526 + 0.890733i \(0.650191\pi\)
\(114\) 4.25756e9 + 3.95044e9i 2.36096 + 2.19065i
\(115\) 2.78424e9 4.19657e8i 1.48445 0.223745i
\(116\) 1.68664e8 2.25066e9i 0.0864889 1.15411i
\(117\) −5.80426e8 + 1.47890e9i −0.286359 + 0.729631i
\(118\) 1.15542e9 + 5.06221e9i 0.548617 + 2.40365i
\(119\) −9.45328e6 1.26145e8i −0.00432137 0.0576646i
\(120\) −1.13064e10 3.48756e9i −4.97746 1.53534i
\(121\) −5.12141e9 + 2.46634e9i −2.17198 + 1.04597i
\(122\) 2.94402e9 5.09920e9i 1.20316 2.08393i
\(123\) −8.84405e8 1.53183e9i −0.348400 0.603446i
\(124\) −8.03601e9 5.47886e9i −3.05241 2.08110i
\(125\) −6.39582e8 + 2.80219e9i −0.234316 + 1.02660i
\(126\) 7.48827e9 + 1.12868e9i 2.64676 + 0.398935i
\(127\) −3.34921e8 4.19977e8i −0.114242 0.143255i 0.721423 0.692495i \(-0.243489\pi\)
−0.835664 + 0.549240i \(0.814917\pi\)
\(128\) −8.30405e9 −2.73429
\(129\) −5.36957e9 + 6.98696e8i −1.70721 + 0.222144i
\(130\) −2.33160e9 −0.715994
\(131\) −1.32312e9 1.65914e9i −0.392536 0.492224i 0.545817 0.837905i \(-0.316220\pi\)
−0.938352 + 0.345681i \(0.887648\pi\)
\(132\) 2.94612e10 + 4.44057e9i 8.44634 + 1.27308i
\(133\) 5.55366e8 2.43322e9i 0.153903 0.674293i
\(134\) 1.15711e9 + 7.88907e8i 0.310031 + 0.211375i
\(135\) −2.99190e9 5.18212e9i −0.775255 1.34278i
\(136\) −5.26212e8 + 9.11427e8i −0.131897 + 0.228453i
\(137\) −5.16048e9 + 2.48516e9i −1.25155 + 0.602714i −0.937926 0.346834i \(-0.887257\pi\)
−0.313622 + 0.949548i \(0.601542\pi\)
\(138\) 2.16220e10 + 6.66951e9i 5.07505 + 1.56545i
\(139\) −7.01970e7 9.36714e8i −0.0159497 0.212834i −0.999484 0.0321135i \(-0.989776\pi\)
0.983535 0.180720i \(-0.0578428\pi\)
\(140\) 1.80223e9 + 7.89609e9i 0.396492 + 1.73715i
\(141\) 7.22983e8 1.84213e9i 0.154043 0.392495i
\(142\) 3.23448e8 4.31611e9i 0.0667585 0.890830i
\(143\) 3.64459e9 5.49333e8i 0.728847 0.109856i
\(144\) −2.62285e10 2.43365e10i −5.08326 4.71658i
\(145\) 1.93040e9 + 9.29632e8i 0.362653 + 0.174645i
\(146\) −1.58648e10 + 1.08164e10i −2.88965 + 1.97013i
\(147\) 1.76663e9 + 4.50131e9i 0.312046 + 0.795080i
\(148\) 7.19289e9 2.21871e9i 1.23233 0.380123i
\(149\) 6.41740e9 5.95448e9i 1.06665 0.989704i 0.0666802 0.997774i \(-0.478759\pi\)
0.999967 + 0.00807007i \(0.00256881\pi\)
\(150\) −1.62279e9 + 2.03492e9i −0.261729 + 0.328198i
\(151\) 4.55181e9 5.70779e9i 0.712505 0.893453i −0.285383 0.958414i \(-0.592121\pi\)
0.997888 + 0.0649607i \(0.0206922\pi\)
\(152\) −1.52212e10 + 1.41232e10i −2.31287 + 2.14603i
\(153\) −1.03623e9 + 3.19636e8i −0.152879 + 0.0471568i
\(154\) −6.41854e9 1.63542e10i −0.919587 2.34307i
\(155\) 7.62873e9 5.20118e9i 1.06160 0.723784i
\(156\) −1.23023e10 5.92448e9i −1.66313 0.800920i
\(157\) 2.16864e7 + 2.01220e7i 0.00284865 + 0.00264316i 0.681596 0.731729i \(-0.261286\pi\)
−0.678747 + 0.734372i \(0.737477\pi\)
\(158\) −3.31314e9 + 4.99375e8i −0.422944 + 0.0637485i
\(159\) 6.09763e8 8.13672e9i 0.0756613 1.00963i
\(160\) 1.00209e10 2.55329e10i 1.20884 3.08007i
\(161\) −2.16365e9 9.47955e9i −0.253787 1.11191i
\(162\) −1.12326e9 1.49889e10i −0.128134 1.70982i
\(163\) 1.39408e10 + 4.30017e9i 1.54684 + 0.477136i 0.946525 0.322631i \(-0.104567\pi\)
0.600311 + 0.799767i \(0.295044\pi\)
\(164\) 9.07559e9 4.37057e9i 0.979665 0.471782i
\(165\) −1.41420e10 + 2.44947e10i −1.48537 + 2.57273i
\(166\) 1.37160e10 + 2.37569e10i 1.40198 + 2.42830i
\(167\) −1.29207e9 8.80916e8i −0.128547 0.0876416i 0.497340 0.867556i \(-0.334310\pi\)
−0.625886 + 0.779914i \(0.715263\pi\)
\(168\) −9.09203e9 + 3.98348e10i −0.880581 + 3.85808i
\(169\) 8.81575e9 + 1.32876e9i 0.831322 + 0.125302i
\(170\) −9.92270e8 1.24427e9i −0.0911191 0.114260i
\(171\) −2.13952e10 −1.91352
\(172\) −1.68269e9 3.07909e10i −0.146597 2.68253i
\(173\) 1.31831e10 1.11895 0.559475 0.828848i \(-0.311003\pi\)
0.559475 + 0.828848i \(0.311003\pi\)
\(174\) 1.07353e10 + 1.34617e10i 0.887858 + 1.11334i
\(175\) 1.10596e9 + 1.66696e8i 0.0891388 + 0.0134355i
\(176\) −1.84709e10 + 8.09263e10i −1.45105 + 6.35745i
\(177\) −2.38510e10 1.62613e10i −1.82653 1.24531i
\(178\) −1.04462e10 1.80933e10i −0.779951 1.35092i
\(179\) 6.81941e9 1.18116e10i 0.496488 0.859942i −0.503504 0.863993i \(-0.667956\pi\)
0.999992 + 0.00405094i \(0.00128946\pi\)
\(180\) 6.25543e10 3.01245e10i 4.44151 2.13892i
\(181\) −5.58506e9 1.72276e9i −0.386789 0.119309i 0.0952608 0.995452i \(-0.469632\pi\)
−0.482050 + 0.876144i \(0.660108\pi\)
\(182\) 6.01701e8 + 8.02914e9i 0.0406499 + 0.542435i
\(183\) 7.28410e9 + 3.19137e10i 0.480116 + 2.10352i
\(184\) −2.95541e10 + 7.53026e10i −1.90081 + 4.84317i
\(185\) −5.34007e8 + 7.12583e9i −0.0335177 + 0.447263i
\(186\) 7.33697e10 1.10587e10i 4.49478 0.677479i
\(187\) 1.84420e9 + 1.71116e9i 0.110286 + 0.102330i
\(188\) 1.01537e10 + 4.88976e9i 0.592807 + 0.285481i
\(189\) −1.70731e10 + 1.16402e10i −0.973272 + 0.663566i
\(190\) −1.14715e10 2.92289e10i −0.638601 1.62713i
\(191\) −1.54357e10 + 4.76129e9i −0.839222 + 0.258866i −0.684427 0.729081i \(-0.739948\pi\)
−0.154795 + 0.987947i \(0.549472\pi\)
\(192\) 7.76725e10 7.20696e10i 4.12489 3.82733i
\(193\) 8.93786e9 1.12077e10i 0.463688 0.581446i −0.493925 0.869504i \(-0.664438\pi\)
0.957613 + 0.288058i \(0.0930097\pi\)
\(194\) 6.11509e9 7.66808e9i 0.309953 0.388668i
\(195\) 9.50218e9 8.81673e9i 0.470617 0.436669i
\(196\) −2.63145e10 + 8.11696e9i −1.27363 + 0.392863i
\(197\) −3.95694e8 1.00821e9i −0.0187181 0.0476929i 0.921209 0.389068i \(-0.127203\pi\)
−0.939927 + 0.341375i \(0.889108\pi\)
\(198\) −1.24437e11 + 8.48399e10i −5.75383 + 3.92290i
\(199\) −2.75805e10 1.32821e10i −1.24670 0.600380i −0.310077 0.950712i \(-0.600355\pi\)
−0.936626 + 0.350331i \(0.886069\pi\)
\(200\) −6.82111e9 6.32906e9i −0.301453 0.279708i
\(201\) −7.69886e9 + 1.16042e9i −0.332693 + 0.0501455i
\(202\) −3.25122e8 + 4.33845e9i −0.0137393 + 0.183339i
\(203\) 2.70313e9 6.88746e9i 0.111721 0.284660i
\(204\) −2.07393e9 9.08646e9i −0.0838412 0.367332i
\(205\) 7.14616e8 + 9.53588e9i 0.0282605 + 0.377110i
\(206\) −3.61099e10 1.11384e10i −1.39709 0.430945i
\(207\) −7.50987e10 + 3.61656e10i −2.84293 + 1.36908i
\(208\) 1.90211e10 3.29454e10i 0.704612 1.22042i
\(209\) 2.48178e10 + 4.29858e10i 0.899717 + 1.55835i
\(210\) −5.10511e10 3.48061e10i −1.81142 1.23500i
\(211\) −3.55677e9 + 1.55832e10i −0.123533 + 0.541235i 0.874850 + 0.484394i \(0.160960\pi\)
−0.998383 + 0.0568411i \(0.981897\pi\)
\(212\) 4.59485e10 + 6.92562e9i 1.56228 + 0.235476i
\(213\) 1.50028e10 + 1.88129e10i 0.499417 + 0.626249i
\(214\) 5.63373e10 1.83626
\(215\) 2.77934e10 + 9.19207e9i 0.887091 + 0.293387i
\(216\) 1.71914e11 5.37365
\(217\) −1.98795e10 2.49282e10i −0.608608 0.763170i
\(218\) −2.98688e10 4.50199e9i −0.895701 0.135005i
\(219\) 2.37538e10 1.04072e11i 0.697805 3.05729i
\(220\) −1.33085e11 9.07362e10i −3.83026 2.61143i
\(221\) −5.76487e8 9.98506e8i −0.0162564 0.0281569i
\(222\) −2.87124e10 + 4.97314e10i −0.793380 + 1.37417i
\(223\) 1.09699e10 5.28282e9i 0.297050 0.143052i −0.279422 0.960168i \(-0.590143\pi\)
0.576473 + 0.817116i \(0.304429\pi\)
\(224\) −9.05116e10 2.79191e10i −2.40208 0.740944i
\(225\) −7.16505e8 9.56109e9i −0.0186379 0.248706i
\(226\) 7.72087e8 + 3.38273e9i 0.0196869 + 0.0862541i
\(227\) −1.10439e10 + 2.81393e10i −0.276061 + 0.703392i 0.723849 + 0.689959i \(0.242371\pi\)
−0.999910 + 0.0134333i \(0.995724\pi\)
\(228\) 1.37417e10 1.83370e11i 0.336770 4.49388i
\(229\) 2.79576e10 4.21394e9i 0.671801 0.101258i 0.195721 0.980660i \(-0.437295\pi\)
0.476080 + 0.879402i \(0.342057\pi\)
\(230\) −8.96734e10 8.32047e10i −2.11294 1.96053i
\(231\) 8.79997e10 + 4.23784e10i 2.03342 + 0.979244i
\(232\) −5.08602e10 + 3.46759e10i −1.15261 + 0.785835i
\(233\) 1.28450e10 + 3.27285e10i 0.285517 + 0.727486i 0.999623 + 0.0274483i \(0.00873816\pi\)
−0.714106 + 0.700037i \(0.753167\pi\)
\(234\) 6.59563e10 2.03448e10i 1.43809 0.443591i
\(235\) −7.84261e9 + 7.27688e9i −0.167747 + 0.155647i
\(236\) 1.02498e11 1.28528e11i 2.15085 2.69708i
\(237\) 1.16140e10 1.45634e10i 0.239118 0.299845i
\(238\) −4.02871e9 + 3.73809e9i −0.0813897 + 0.0755186i
\(239\) −1.42803e9 + 4.40490e8i −0.0283105 + 0.00873263i −0.308878 0.951102i \(-0.599954\pi\)
0.280568 + 0.959834i \(0.409477\pi\)
\(240\) 1.06654e11 + 2.71750e11i 2.07504 + 5.28712i
\(241\) −2.50727e10 + 1.70943e10i −0.478767 + 0.326418i −0.778543 0.627592i \(-0.784041\pi\)
0.299775 + 0.954010i \(0.403088\pi\)
\(242\) 2.22502e11 + 1.07151e11i 4.17027 + 2.00830i
\(243\) −4.86267e9 4.51190e9i −0.0894636 0.0830101i
\(244\) −1.84336e11 + 2.77842e10i −3.32933 + 0.501816i
\(245\) 1.95362e9 2.60692e10i 0.0346411 0.462254i
\(246\) −2.80752e10 + 7.15345e10i −0.488782 + 1.24540i
\(247\) −5.06189e9 2.21776e10i −0.0865319 0.379121i
\(248\) 1.98233e10 + 2.64524e11i 0.332770 + 4.44051i
\(249\) −1.45732e11 4.49525e10i −2.40248 0.741066i
\(250\) 1.12507e11 5.41804e10i 1.82158 0.877228i
\(251\) 4.24760e10 7.35707e10i 0.675480 1.16997i −0.300849 0.953672i \(-0.597270\pi\)
0.976328 0.216293i \(-0.0693968\pi\)
\(252\) −1.19880e11 2.07639e11i −1.87260 3.24344i
\(253\) 1.59774e11 + 1.08932e11i 2.45168 + 1.67153i
\(254\) −5.19311e9 + 2.27525e10i −0.0782845 + 0.342987i
\(255\) 8.74896e9 + 1.31869e9i 0.129576 + 0.0195305i
\(256\) 8.48976e10 + 1.06458e11i 1.23542 + 1.54917i
\(257\) −7.31587e10 −1.04609 −0.523043 0.852306i \(-0.675203\pi\)
−0.523043 + 0.852306i \(0.675203\pi\)
\(258\) 1.69182e11 + 1.63462e11i 2.37720 + 2.29683i
\(259\) 2.46764e10 0.340748
\(260\) 4.60259e10 + 5.77146e10i 0.624629 + 0.783260i
\(261\) −6.27188e10 9.45333e9i −0.836595 0.126096i
\(262\) −2.05157e10 + 8.98849e10i −0.268986 + 1.17850i
\(263\) −5.35677e10 3.65219e10i −0.690403 0.470708i 0.166597 0.986025i \(-0.446722\pi\)
−0.857000 + 0.515317i \(0.827674\pi\)
\(264\) −4.06299e11 7.03730e11i −5.14787 8.91638i
\(265\) −2.20562e10 + 3.82025e10i −0.274742 + 0.475867i
\(266\) −9.76928e10 + 4.70464e10i −1.19645 + 0.576181i
\(267\) 1.10990e11 + 3.42360e10i 1.33655 + 0.412270i
\(268\) −3.31348e9 4.42153e10i −0.0392354 0.523559i
\(269\) 2.40413e10 + 1.05332e11i 0.279945 + 1.22652i 0.897863 + 0.440275i \(0.145119\pi\)
−0.617918 + 0.786242i \(0.712024\pi\)
\(270\) −9.49771e10 + 2.41998e11i −1.08763 + 2.77124i
\(271\) 7.46063e9 9.95551e10i 0.0840260 1.12125i −0.782678 0.622426i \(-0.786147\pi\)
0.866704 0.498822i \(-0.166234\pi\)
\(272\) 2.56763e10 3.87008e9i 0.284428 0.0428706i
\(273\) −3.28136e10 3.04466e10i −0.357538 0.331746i
\(274\) 2.24199e11 + 1.07969e11i 2.40301 + 1.15723i
\(275\) −1.83784e10 + 1.25302e10i −0.193780 + 0.132117i
\(276\) −2.61727e11 6.66870e11i −2.71493 6.91752i
\(277\) 1.22215e11 3.76982e10i 1.24728 0.384735i 0.400313 0.916379i \(-0.368902\pi\)
0.846968 + 0.531643i \(0.178425\pi\)
\(278\) −2.99159e10 + 2.77579e10i −0.300400 + 0.278731i
\(279\) −1.70417e11 + 2.13697e11i −1.68382 + 2.11144i
\(280\) 1.37726e11 1.72703e11i 1.33907 1.67915i
\(281\) 1.25094e11 1.16070e11i 1.19690 1.11056i 0.205644 0.978627i \(-0.434071\pi\)
0.991258 0.131936i \(-0.0421193\pi\)
\(282\) −8.21557e10 + 2.53417e10i −0.773600 + 0.238624i
\(283\) −4.54936e10 1.15916e11i −0.421611 1.07425i −0.971085 0.238736i \(-0.923267\pi\)
0.549474 0.835511i \(-0.314828\pi\)
\(284\) −1.13222e11 + 7.71937e10i −1.03276 + 0.704124i
\(285\) 1.57277e11 + 7.57407e10i 1.41209 + 0.680029i
\(286\) −1.17383e11 1.08916e11i −1.03743 0.962593i
\(287\) 3.26535e10 4.92172e9i 0.284093 0.0428202i
\(288\) −6.06797e10 + 8.09714e11i −0.519729 + 6.93530i
\(289\) −4.30375e10 + 1.09658e11i −0.362917 + 0.924696i
\(290\) −2.07135e10 9.07516e10i −0.171974 0.753465i
\(291\) 4.07477e9 + 5.43740e10i 0.0333108 + 0.444501i
\(292\) 5.80911e11 + 1.79187e11i 4.67614 + 1.44240i
\(293\) 2.24273e10 1.08004e10i 0.177776 0.0856125i −0.342879 0.939380i \(-0.611402\pi\)
0.520655 + 0.853767i \(0.325688\pi\)
\(294\) 1.05042e11 1.81938e11i 0.819972 1.42023i
\(295\) 7.80310e10 + 1.35154e11i 0.599885 + 1.03903i
\(296\) −1.69626e11 1.15649e11i −1.28434 0.875647i
\(297\) 9.14457e10 4.00650e11i 0.681960 2.98786i
\(298\) −3.76089e11 5.66863e10i −2.76259 0.416394i
\(299\) −5.52558e10 6.92885e10i −0.399813 0.501350i
\(300\) 8.24046e10 0.587362
\(301\) 2.44815e10 9.80818e10i 0.171905 0.688714i
\(302\) −3.17175e11 −2.19416
\(303\) −1.50804e10 1.89103e10i −0.102783 0.128886i
\(304\) 5.06587e11 + 7.63557e10i 3.40191 + 0.512756i
\(305\) 3.93797e10 1.72534e11i 0.260569 1.14163i
\(306\) 3.89264e10 + 2.65395e10i 0.253803 + 0.173040i
\(307\) 1.37700e11 + 2.38504e11i 0.884732 + 1.53240i 0.846021 + 0.533150i \(0.178992\pi\)
0.0387108 + 0.999250i \(0.487675\pi\)
\(308\) −2.78116e11 + 4.81711e11i −1.76095 + 3.05006i
\(309\) 1.89281e11 9.11528e10i 1.18112 0.568796i
\(310\) −3.83314e11 1.18237e11i −2.35736 0.727151i
\(311\) 5.87226e9 + 7.83599e10i 0.0355946 + 0.474977i 0.986309 + 0.164908i \(0.0527328\pi\)
−0.950714 + 0.310068i \(0.899648\pi\)
\(312\) 8.28694e10 + 3.63074e11i 0.495106 + 2.16920i
\(313\) −6.13702e10 + 1.56369e11i −0.361416 + 0.920874i 0.628318 + 0.777956i \(0.283744\pi\)
−0.989735 + 0.142917i \(0.954352\pi\)
\(314\) 9.60488e7 1.28168e9i 0.000557582 0.00744041i
\(315\) 2.25067e11 3.39234e10i 1.28799 0.194134i
\(316\) 7.77625e10 + 7.21530e10i 0.438711 + 0.407064i
\(317\) −1.41970e11 6.83693e10i −0.789643 0.380272i −0.00481729 0.999988i \(-0.501533\pi\)
−0.784826 + 0.619716i \(0.787248\pi\)
\(318\) −2.92897e11 + 1.99694e11i −1.60617 + 1.09507i
\(319\) 5.37591e10 + 1.36976e11i 0.290666 + 0.740604i
\(320\) −5.47384e11 + 1.68846e11i −2.91822 + 0.900151i
\(321\) −2.29596e11 + 2.13034e11i −1.20696 + 1.11989i
\(322\) −2.63383e11 + 3.30272e11i −1.36533 + 1.71207i
\(323\) 9.68092e9 1.21395e10i 0.0494886 0.0620568i
\(324\) −3.48849e11 + 3.23685e11i −1.75867 + 1.63181i
\(325\) 9.74121e9 3.00476e9i 0.0484326 0.0149395i
\(326\) −2.31562e11 5.90010e11i −1.13550 2.89321i
\(327\) 1.38751e11 9.45985e10i 0.671073 0.457530i
\(328\) −2.47526e11 1.19202e11i −1.18083 0.568660i
\(329\) 2.70826e10 + 2.51290e10i 0.127441 + 0.118248i
\(330\) 1.21509e12 1.83145e11i 5.64020 0.850123i
\(331\) −1.29023e10 + 1.72170e11i −0.0590802 + 0.788370i 0.886448 + 0.462829i \(0.153166\pi\)
−0.945528 + 0.325541i \(0.894453\pi\)
\(332\) 3.17304e11 8.08476e11i 1.43335 3.65213i
\(333\) −4.70718e10 2.06235e11i −0.209779 0.919101i
\(334\) 5.07714e9 + 6.77497e10i 0.0223234 + 0.297885i
\(335\) 4.02221e10 + 1.24069e10i 0.174487 + 0.0538221i
\(336\) 9.08279e11 4.37404e11i 3.88770 1.87222i
\(337\) 7.53029e10 1.30428e11i 0.318037 0.550856i −0.662042 0.749467i \(-0.730310\pi\)
0.980078 + 0.198611i \(0.0636432\pi\)
\(338\) −1.93665e11 3.35438e11i −0.807098 1.39793i
\(339\) −1.59380e10 1.08664e10i −0.0655444 0.0446874i
\(340\) −1.12122e10 + 4.91237e10i −0.0455024 + 0.199359i
\(341\) 6.27024e11 + 9.45087e10i 2.51125 + 0.378510i
\(342\) 5.79548e11 + 7.26730e11i 2.29072 + 2.87247i
\(343\) −2.72241e11 −1.06201
\(344\) −6.27957e11 + 5.59479e11i −2.41778 + 2.15412i
\(345\) 6.80084e11 2.58450
\(346\) −3.57101e11 4.47791e11i −1.33952 1.67970i
\(347\) 7.13795e10 + 1.07587e10i 0.264296 + 0.0398362i 0.279853 0.960043i \(-0.409714\pi\)
−0.0155573 + 0.999879i \(0.504952\pi\)
\(348\) 1.21304e11 5.31467e11i 0.443372 1.94254i
\(349\) −3.42756e11 2.33687e11i −1.23672 0.843180i −0.244739 0.969589i \(-0.578702\pi\)
−0.991978 + 0.126409i \(0.959655\pi\)
\(350\) −2.42957e10 4.20815e10i −0.0865414 0.149894i
\(351\) −9.41694e10 + 1.63106e11i −0.331152 + 0.573573i
\(352\) 1.69721e12 8.17333e11i 5.89242 2.83764i
\(353\) −1.70969e11 5.27370e10i −0.586046 0.180771i −0.0124680 0.999922i \(-0.503969\pi\)
−0.573578 + 0.819151i \(0.694445\pi\)
\(354\) 9.37218e10 + 1.25063e12i 0.317195 + 4.23267i
\(355\) −2.89474e10 1.26827e11i −0.0967345 0.423822i
\(356\) −2.41660e11 + 6.15738e11i −0.797405 + 2.03175i
\(357\) 2.28329e9 3.04683e10i 0.00743966 0.0992754i
\(358\) −5.85926e11 + 8.83142e10i −1.88525 + 0.284156i
\(359\) −2.20027e11 2.04155e11i −0.699119 0.648688i 0.248300 0.968683i \(-0.420128\pi\)
−0.947419 + 0.319995i \(0.896319\pi\)
\(360\) −1.70610e12 8.21612e11i −5.35355 2.57814i
\(361\) −1.35040e10 + 9.20689e9i −0.0418486 + 0.0285319i
\(362\) 9.27698e10 + 2.36374e11i 0.283934 + 0.723453i
\(363\) −1.31196e12 + 4.04686e11i −3.96589 + 1.22332i
\(364\) 1.86869e11 1.73389e11i 0.557932 0.517686i
\(365\) −3.59822e11 + 4.51202e11i −1.06113 + 1.33062i
\(366\) 8.86703e11 1.11189e12i 2.58293 3.23890i
\(367\) −2.15658e11 + 2.00102e11i −0.620539 + 0.575776i −0.926513 0.376264i \(-0.877209\pi\)
0.305973 + 0.952040i \(0.401018\pi\)
\(368\) 1.90723e12 5.88302e11i 5.42110 1.67219i
\(369\) −1.03422e11 2.63515e11i −0.290399 0.739924i
\(370\) 2.56508e11 1.74884e11i 0.711530 0.485113i
\(371\) 1.37247e11 + 6.60945e10i 0.376114 + 0.181127i
\(372\) −1.72206e12 1.59783e12i −4.66234 4.32602i
\(373\) 1.23685e11 1.86425e10i 0.330847 0.0498671i 0.0184815 0.999829i \(-0.494117\pi\)
0.312365 + 0.949962i \(0.398879\pi\)
\(374\) 8.16793e9 1.08993e11i 0.0215869 0.288057i
\(375\) −2.53630e11 + 6.46240e11i −0.662309 + 1.68754i
\(376\) −6.83961e10 2.99663e11i −0.176476 0.773192i
\(377\) −5.03961e9 6.72489e10i −0.0128487 0.171455i
\(378\) 8.57856e11 + 2.64614e11i 2.16123 + 0.666652i
\(379\) 8.47158e10 4.07970e10i 0.210905 0.101567i −0.325449 0.945560i \(-0.605515\pi\)
0.536354 + 0.843993i \(0.319801\pi\)
\(380\) −4.97061e11 + 8.60936e11i −1.22288 + 2.11809i
\(381\) −6.48725e10 1.12362e11i −0.157724 0.273186i
\(382\) 5.79846e11 + 3.95332e11i 1.39325 + 0.949899i
\(383\) 2.77271e10 1.21480e11i 0.0658430 0.288477i −0.931277 0.364311i \(-0.881305\pi\)
0.997120 + 0.0758336i \(0.0241618\pi\)
\(384\) −1.98331e12 2.98935e11i −4.65478 0.701596i
\(385\) −3.29228e11 4.12839e11i −0.763701 0.957651i
\(386\) −6.22799e11 −1.42792
\(387\) −8.66425e11 1.75088e10i −1.96350 0.0396786i
\(388\) −3.10521e11 −0.695583
\(389\) 1.40230e11 + 1.75843e11i 0.310505 + 0.389361i 0.912458 0.409171i \(-0.134182\pi\)
−0.601953 + 0.798532i \(0.705611\pi\)
\(390\) −5.56871e11 8.39348e10i −1.21889 0.183718i
\(391\) 1.34606e10 5.89748e10i 0.0291252 0.127606i
\(392\) 6.20561e11 + 4.23091e11i 1.32738 + 0.904996i
\(393\) −2.56282e11 4.43894e11i −0.541941 0.938669i
\(394\) −2.35274e10 + 4.07507e10i −0.0491860 + 0.0851927i
\(395\) −9.07312e10 + 4.36939e10i −0.187530 + 0.0903095i
\(396\) 4.55645e12 + 1.40548e12i 9.31104 + 2.87208i
\(397\) 2.97206e10 + 3.96594e11i 0.0600483 + 0.801289i 0.943205 + 0.332211i \(0.107795\pi\)
−0.883157 + 0.469078i \(0.844586\pi\)
\(398\) 2.95942e11 + 1.29661e12i 0.591198 + 2.59021i
\(399\) 2.20234e11 5.61148e11i 0.435018 1.10841i
\(400\) −1.71568e10 + 2.28941e11i −0.0335093 + 0.447150i
\(401\) 3.40013e10 5.12487e9i 0.0656668 0.00989768i −0.116127 0.993234i \(-0.537048\pi\)
0.181793 + 0.983337i \(0.441810\pi\)
\(402\) 2.47961e11 + 2.30074e11i 0.473550 + 0.439390i
\(403\) −2.61830e11 1.26091e11i −0.494478 0.238128i
\(404\) 1.13808e11 7.75933e10i 0.212549 0.144913i
\(405\) −1.65049e11 4.20538e11i −0.304836 0.776709i
\(406\) −3.07168e11 + 9.47488e10i −0.561059 + 0.173064i
\(407\) −3.59751e11 + 3.33800e11i −0.649871 + 0.602993i
\(408\) −1.58489e11 + 1.98738e11i −0.283157 + 0.355068i
\(409\) −2.68099e11 + 3.36186e11i −0.473740 + 0.594052i −0.960083 0.279717i \(-0.909759\pi\)
0.486342 + 0.873768i \(0.338331\pi\)
\(410\) 3.04548e11 2.82579e11i 0.532266 0.493870i
\(411\) −1.32197e12 + 4.07774e11i −2.28525 + 0.704906i
\(412\) 4.37098e11 + 1.11371e12i 0.747380 + 1.90429i
\(413\) 4.45280e11 3.03587e11i 0.753109 0.513461i
\(414\) 3.26269e12 + 1.57123e12i 5.45852 + 2.62868i
\(415\) 6.04398e11 + 5.60800e11i 1.00025 + 0.928092i
\(416\) −8.53680e11 + 1.28672e11i −1.39758 + 0.210651i
\(417\) 1.69549e10 2.26248e11i 0.0274590 0.366414i
\(418\) 7.87837e11 2.00738e12i 1.26224 3.21614i
\(419\) 8.58342e10 + 3.76064e11i 0.136050 + 0.596072i 0.996281 + 0.0861679i \(0.0274621\pi\)
−0.860231 + 0.509905i \(0.829681\pi\)
\(420\) 1.46188e11 + 1.95075e12i 0.229240 + 3.05900i
\(421\) −1.13123e12 3.48937e11i −1.75501 0.541349i −0.760819 0.648965i \(-0.775202\pi\)
−0.994193 + 0.107615i \(0.965678\pi\)
\(422\) 6.25660e11 3.01302e11i 0.960356 0.462483i
\(423\) 1.58356e11 2.74280e11i 0.240493 0.416546i
\(424\) −6.33674e11 1.09756e12i −0.952181 1.64923i
\(425\) 5.74911e9 + 3.91967e9i 0.00854772 + 0.00582773i
\(426\) 2.32625e11 1.01920e12i 0.342227 1.49939i
\(427\) −6.04301e11 9.10838e10i −0.879687 0.132591i
\(428\) −1.11210e12 1.39453e12i −1.60194 2.00877i
\(429\) 8.90234e11 1.26896
\(430\) −4.40634e11 1.19305e12i −0.621541 1.68287i
\(431\) 7.16585e11 1.00028 0.500138 0.865946i \(-0.333283\pi\)
0.500138 + 0.865946i \(0.333283\pi\)
\(432\) −2.64460e12 3.31622e12i −3.65328 4.58107i
\(433\) −7.86395e11 1.18530e11i −1.07509 0.162044i −0.412449 0.910981i \(-0.635327\pi\)
−0.662642 + 0.748937i \(0.730565\pi\)
\(434\) −3.08242e11 + 1.35050e12i −0.417050 + 1.82722i
\(435\) 4.27584e11 + 2.91522e11i 0.572558 + 0.390363i
\(436\) 4.78171e11 + 8.28216e11i 0.633715 + 1.09763i
\(437\) 5.96741e11 1.03358e12i 0.782743 1.35575i
\(438\) −4.17846e12 + 2.01224e12i −5.42478 + 2.61244i
\(439\) 1.10790e12 + 3.41743e11i 1.42368 + 0.439147i 0.908481 0.417925i \(-0.137243\pi\)
0.515197 + 0.857072i \(0.327719\pi\)
\(440\) 3.28297e11 + 4.38082e12i 0.417571 + 5.57209i
\(441\) 1.72208e11 + 7.54491e11i 0.216810 + 0.949906i
\(442\) −1.83005e10 + 4.66288e10i −0.0228067 + 0.0581105i
\(443\) 5.05597e10 6.74672e11i 0.0623717 0.832293i −0.875036 0.484058i \(-0.839162\pi\)
0.937407 0.348234i \(-0.113219\pi\)
\(444\) 1.79779e12 2.70974e11i 2.19541 0.330905i
\(445\) −4.60312e11 4.27107e11i −0.556457 0.516317i
\(446\) −4.76591e11 2.29514e11i −0.570347 0.274664i
\(447\) 1.74706e12 1.19113e12i 2.06978 1.41115i
\(448\) 7.22699e11 + 1.84141e12i 0.847630 + 2.15973i
\(449\) 1.11673e11 3.44466e10i 0.129670 0.0399979i −0.229241 0.973370i \(-0.573624\pi\)
0.358911 + 0.933372i \(0.383148\pi\)
\(450\) −3.05353e11 + 2.83326e11i −0.351031 + 0.325709i
\(451\) −4.09470e11 + 5.13459e11i −0.466045 + 0.584402i
\(452\) 6.84924e10 8.58868e10i 0.0771826 0.0967839i
\(453\) 1.29261e12 1.19937e12i 1.44220 1.33817i
\(454\) 1.25496e12 3.87105e11i 1.38637 0.427639i
\(455\) 8.84124e10 + 2.25271e11i 0.0967079 + 0.246408i
\(456\) −4.14377e12 + 2.82518e12i −4.48801 + 3.05988i
\(457\) −7.85646e11 3.78347e11i −0.842566 0.405759i −0.0377533 0.999287i \(-0.512020\pi\)
−0.804813 + 0.593529i \(0.797734\pi\)
\(458\) −9.00445e11 8.35491e11i −0.956230 0.887252i
\(459\) −1.27118e11 + 1.91600e10i −0.133675 + 0.0201483i
\(460\) −2.89429e11 + 3.86216e12i −0.301392 + 4.02180i
\(461\) 5.89474e10 1.50195e11i 0.0607869 0.154883i −0.897253 0.441516i \(-0.854441\pi\)
0.958040 + 0.286633i \(0.0925361\pi\)
\(462\) −9.44248e11 4.13702e12i −0.964267 4.22473i
\(463\) 1.01195e11 + 1.35036e12i 0.102340 + 1.36563i 0.777928 + 0.628353i \(0.216271\pi\)
−0.675588 + 0.737279i \(0.736110\pi\)
\(464\) 1.45129e12 + 4.47665e11i 1.45353 + 0.448355i
\(465\) 2.00925e12 9.67604e11i 1.99295 0.959753i
\(466\) 7.63747e11 1.32285e12i 0.750262 1.29949i
\(467\) −1.12668e11 1.95147e11i −0.109616 0.189861i 0.805999 0.591918i \(-0.201629\pi\)
−0.915615 + 0.402056i \(0.868296\pi\)
\(468\) −1.80558e12 1.23102e12i −1.73984 1.18620i
\(469\) 3.23446e10 1.41711e11i 0.0308691 0.135246i
\(470\) 4.59612e11 + 6.92754e10i 0.434462 + 0.0654845i
\(471\) 4.45512e9 + 5.58654e9i 0.00417124 + 0.00523057i
\(472\) −4.48365e12 −4.15808
\(473\) 9.69852e11 + 1.76107e12i 0.890903 + 1.61772i
\(474\) −8.09273e11 −0.736364
\(475\) 8.55945e10 + 1.07332e11i 0.0771480 + 0.0967405i
\(476\) 1.72056e11 + 2.59333e10i 0.153617 + 0.0231540i
\(477\) 2.90583e11 1.27313e12i 0.257002 1.12600i
\(478\) 5.36443e10 + 3.65741e10i 0.0470000 + 0.0320441i
\(479\) 1.83903e11 + 3.18530e11i 0.159617 + 0.276465i 0.934731 0.355357i \(-0.115641\pi\)
−0.775114 + 0.631822i \(0.782307\pi\)
\(480\) 3.31251e12 5.73744e12i 2.84821 4.93324i
\(481\) 2.02640e11 9.75862e10i 0.172612 0.0831258i
\(482\) 1.25981e12 + 3.88598e11i 1.06314 + 0.327936i
\(483\) −1.75505e11 2.34195e12i −0.146733 1.95801i
\(484\) −1.73985e12 7.62279e12i −1.44115 6.31407i
\(485\) 1.07697e11 2.74406e11i 0.0883820 0.225194i
\(486\) −2.15367e10 + 2.87388e11i −0.0175112 + 0.233671i
\(487\) −1.74137e12 + 2.62469e11i −1.40285 + 0.211445i −0.806478 0.591264i \(-0.798629\pi\)
−0.596370 + 0.802709i \(0.703391\pi\)
\(488\) 3.72709e12 + 3.45824e12i 2.97496 + 2.76036i
\(489\) 3.17477e12 + 1.52889e12i 2.51086 + 1.20917i
\(490\) −9.38412e11 + 6.39798e11i −0.735379 + 0.501373i
\(491\) −1.31587e11 3.35279e11i −0.102176 0.260339i 0.870640 0.491921i \(-0.163705\pi\)
−0.972815 + 0.231582i \(0.925610\pi\)
\(492\) 2.32491e12 7.17141e11i 1.78881 0.551774i
\(493\) 3.37428e10 3.13088e10i 0.0257259 0.0238701i
\(494\) −6.16190e11 + 7.72678e11i −0.465526 + 0.583751i
\(495\) −2.82231e12 + 3.53906e12i −2.11291 + 2.64950i
\(496\) 4.79772e12 4.45164e12i 3.55933 3.30257i
\(497\) −4.29272e11 + 1.32413e11i −0.315594 + 0.0973479i
\(498\) 2.42067e12 + 6.16776e12i 1.76361 + 4.49361i
\(499\) −1.49021e12 + 1.01601e12i −1.07596 + 0.733575i −0.965525 0.260309i \(-0.916176\pi\)
−0.110432 + 0.993884i \(0.535223\pi\)
\(500\) −3.56202e12 1.71538e12i −2.54878 1.22743i
\(501\) −2.76880e11 2.56907e11i −0.196346 0.182182i
\(502\) −3.64956e12 + 5.50082e11i −2.56492 + 0.386599i
\(503\) 1.07851e10 1.43917e11i 0.00751222 0.100244i −0.992187 0.124757i \(-0.960185\pi\)
0.999699 + 0.0245138i \(0.00780378\pi\)
\(504\) −2.38903e12 + 6.08716e12i −1.64924 + 4.20221i
\(505\) 2.90972e10 + 1.27483e11i 0.0199086 + 0.0872252i
\(506\) −6.27827e11 8.37777e12i −0.425758 5.68135i
\(507\) 2.05768e12 + 6.34712e11i 1.38307 + 0.426619i
\(508\) 6.65709e11 3.20589e11i 0.443504 0.213580i
\(509\) −7.31521e11 + 1.26703e12i −0.483056 + 0.836677i −0.999811 0.0194565i \(-0.993806\pi\)
0.516755 + 0.856133i \(0.327140\pi\)
\(510\) −1.92198e11 3.32896e11i −0.125800 0.217893i
\(511\) 1.64662e12 + 1.12265e12i 1.06832 + 0.728366i
\(512\) 3.70293e11 1.62236e12i 0.238139 1.04335i
\(513\) −2.50801e12 3.78022e11i −1.59883 0.240984i
\(514\) 1.98171e12 + 2.48498e12i 1.25229 + 1.57032i
\(515\) −1.13578e12 −0.711475
\(516\) 7.06547e11 7.41455e12i 0.438750 4.60427i
\(517\) −7.34753e11 −0.452308
\(518\) −6.68429e11 8.38184e11i −0.407917 0.511511i
\(519\) 3.14860e12 + 4.74575e11i 1.90487 + 0.287112i
\(520\) 4.48012e11 1.96287e12i 0.268705 1.17727i
\(521\) −4.67359e11 3.18640e11i −0.277895 0.189465i 0.416350 0.909204i \(-0.363309\pi\)
−0.694245 + 0.719739i \(0.744261\pi\)
\(522\) 1.37781e12 + 2.38644e12i 0.812217 + 1.40680i
\(523\) −2.60033e11 + 4.50391e11i −0.151975 + 0.263228i −0.931953 0.362578i \(-0.881897\pi\)
0.779979 + 0.625806i \(0.215230\pi\)
\(524\) 2.62992e12 1.26650e12i 1.52388 0.733863i
\(525\) 2.58141e11 + 7.96261e10i 0.148300 + 0.0457445i
\(526\) 2.10493e11 + 2.80883e12i 0.119895 + 1.59989i
\(527\) −4.41394e10 1.93387e11i −0.0249275 0.109215i
\(528\) −7.32476e12 + 1.86632e13i −4.10148 + 10.4504i
\(529\) 2.12870e11 2.84055e12i 0.118185 1.57707i
\(530\) 1.89508e12 2.85637e11i 1.04324 0.157244i
\(531\) −3.38665e12 3.14235e12i −1.84861 1.71526i
\(532\) 3.09300e12 + 1.48951e12i 1.67409 + 0.806198i
\(533\) 2.48683e11 1.69549e11i 0.133467 0.0909962i
\(534\) −1.84359e12 4.69738e12i −0.981133 2.49989i
\(535\) 1.61804e12 4.99099e11i 0.853881 0.263387i
\(536\) −8.86482e11 + 8.22535e11i −0.463904 + 0.430440i
\(537\) 2.05392e12 2.57554e12i 1.06586 1.33655i
\(538\) 2.92658e12 3.66981e12i 1.50605 1.88853i
\(539\) 1.31612e12 1.22118e12i 0.671653 0.623203i
\(540\) 7.86506e12 2.42605e12i 3.98043 1.22780i
\(541\) 6.84147e11 + 1.74318e12i 0.343370 + 0.874892i 0.993370 + 0.114958i \(0.0366733\pi\)
−0.650001 + 0.759934i \(0.725231\pi\)
\(542\) −3.58368e12 + 2.44331e12i −1.78374 + 1.21614i
\(543\) −1.27190e12 6.12513e11i −0.627845 0.302354i
\(544\) −4.31970e11 4.00810e11i −0.211475 0.196220i
\(545\) −8.97733e11 + 1.35311e11i −0.435876 + 0.0656977i
\(546\) −1.45331e11 + 1.93931e12i −0.0699828 + 0.933856i
\(547\) 4.37003e11 1.11347e12i 0.208709 0.531783i −0.787737 0.616012i \(-0.788747\pi\)
0.996446 + 0.0842289i \(0.0268427\pi\)
\(548\) −1.75313e12 7.68094e12i −0.830425 3.63833i
\(549\) 3.91502e11 + 5.22424e12i 0.183933 + 2.45441i
\(550\) 9.23441e11 + 2.84844e11i 0.430306 + 0.132732i
\(551\) 8.18235e11 3.94041e11i 0.378178 0.182121i
\(552\) −9.76938e12 + 1.69211e13i −4.47859 + 7.75714i
\(553\) 1.73879e11 + 3.01168e11i 0.0790650 + 0.136945i
\(554\) −4.59102e12 3.13010e12i −2.07069 1.41177i
\(555\) −3.84061e11 + 1.68268e12i −0.171823 + 0.752807i
\(556\) 1.27764e12 + 1.92573e11i 0.566983 + 0.0854590i
\(557\) 1.15864e12 + 1.45289e12i 0.510035 + 0.639564i 0.968460 0.249170i \(-0.0801576\pi\)
−0.458425 + 0.888733i \(0.651586\pi\)
\(558\) 1.18749e13 5.18531
\(559\) −1.86838e11 9.02251e11i −0.0809307 0.390818i
\(560\) −5.45011e12 −2.34185
\(561\) 3.78861e11 + 4.75076e11i 0.161490 + 0.202502i
\(562\) −7.33108e12 1.10498e12i −3.09995 0.467242i
\(563\) −2.71055e11 + 1.18757e12i −0.113702 + 0.498162i 0.885721 + 0.464217i \(0.153664\pi\)
−0.999424 + 0.0339452i \(0.989193\pi\)
\(564\) 2.24904e12 + 1.53337e12i 0.935925 + 0.638103i
\(565\) 5.21429e10 + 9.03141e10i 0.0215267 + 0.0372853i
\(566\) −2.70499e12 + 4.68518e12i −1.10788 + 1.91890i
\(567\) −1.40558e12 + 6.76891e11i −0.571125 + 0.275039i
\(568\) 3.57139e12 + 1.10163e12i 1.43969 + 0.444086i
\(569\) 2.72294e11 + 3.63351e12i 0.108901 + 1.45319i 0.737442 + 0.675410i \(0.236033\pi\)
−0.628541 + 0.777777i \(0.716348\pi\)
\(570\) −1.68760e12 7.39388e12i −0.669628 2.93383i
\(571\) 1.61774e12 4.12194e12i 0.636864 1.62270i −0.137897 0.990447i \(-0.544034\pi\)
0.774760 0.632255i \(-0.217871\pi\)
\(572\) −3.78865e11 + 5.05560e12i −0.147980 + 1.97465i
\(573\) −3.85801e12 + 5.81501e11i −1.49509 + 0.225348i
\(574\) −1.05169e12 9.75822e11i −0.404373 0.375204i
\(575\) 4.81873e11 + 2.32058e11i 0.183835 + 0.0885301i
\(576\) 1.40111e13 9.55260e12i 5.30360 3.61593i
\(577\) −1.23827e11 3.15506e11i −0.0465077 0.118500i 0.905732 0.423850i \(-0.139322\pi\)
−0.952240 + 0.305350i \(0.901226\pi\)
\(578\) 4.89053e12 1.50853e12i 1.82256 0.562184i
\(579\) 2.53815e12 2.35506e12i 0.938562 0.870858i
\(580\) −1.83751e12 + 2.30416e12i −0.674222 + 0.845448i
\(581\) 1.77520e12 2.22603e12i 0.646332 0.810475i
\(582\) 1.73654e12 1.61128e12i 0.627383 0.582126i
\(583\) −2.89495e12 + 8.92974e11i −1.03784 + 0.320133i
\(584\) −6.05747e12 1.54342e13i −2.15493 5.49067i
\(585\) 1.71407e12 1.16863e12i 0.605099 0.412550i
\(586\) −9.74365e11 4.69230e11i −0.341336 0.164379i
\(587\) 3.28171e12 + 3.04498e12i 1.14085 + 1.05856i 0.997626 + 0.0688654i \(0.0219379\pi\)
0.143226 + 0.989690i \(0.454253\pi\)
\(588\) −6.57706e12 + 9.91332e11i −2.26900 + 0.341996i
\(589\) 2.92464e11 3.90267e12i 0.100128 1.33611i
\(590\) 2.47708e12 6.31149e12i 0.841600 2.14436i
\(591\) −5.82116e10 2.55042e11i −0.0196275 0.0859938i
\(592\) 3.78531e11 + 5.05114e12i 0.126664 + 1.69022i
\(593\) −4.87372e12 1.50334e12i −1.61851 0.499243i −0.652506 0.757784i \(-0.726282\pi\)
−0.966000 + 0.258541i \(0.916758\pi\)
\(594\) −1.60859e13 + 7.74657e12i −5.30160 + 2.55312i
\(595\) −8.25906e10 + 1.43051e11i −0.0270150 + 0.0467913i
\(596\) 6.02083e12 + 1.04284e13i 1.95456 + 3.38539i
\(597\) −6.10907e12 4.16509e12i −1.96830 1.34196i
\(598\) −8.56767e11 + 3.75374e12i −0.273973 + 1.20035i
\(599\) −3.96931e12 5.98277e11i −1.25978 0.189881i −0.514999 0.857191i \(-0.672208\pi\)
−0.744780 + 0.667310i \(0.767446\pi\)
\(600\) −1.40129e12 1.75716e12i −0.441415 0.553516i
\(601\) −3.77307e12 −1.17967 −0.589834 0.807524i \(-0.700807\pi\)
−0.589834 + 0.807524i \(0.700807\pi\)
\(602\) −3.99469e12 + 1.82525e12i −1.23965 + 0.566421i
\(603\) −1.24606e12 −0.383805
\(604\) 6.26103e12 + 7.85109e12i 1.91417 + 2.40029i
\(605\) 7.33965e12 + 1.10627e12i 2.22729 + 0.335709i
\(606\) −2.33830e11 + 1.02447e12i −0.0704325 + 0.308585i
\(607\) 1.95062e12 + 1.32991e12i 0.583208 + 0.397625i 0.818674 0.574258i \(-0.194709\pi\)
−0.235466 + 0.971883i \(0.575662\pi\)
\(608\) −5.81314e12 1.00686e13i −1.72522 2.98817i
\(609\) 8.93544e11 1.54766e12i 0.263232 0.455931i
\(610\) −6.92715e12 + 3.33594e12i −2.02568 + 0.975515i
\(611\) 3.21775e11 + 9.92546e10i 0.0934044 + 0.0288114i
\(612\) −1.11468e11 1.48744e12i −0.0321196 0.428606i
\(613\) 9.53139e11 + 4.17598e12i 0.272637 + 1.19450i 0.906888 + 0.421372i \(0.138451\pi\)
−0.634251 + 0.773127i \(0.718691\pi\)
\(614\) 4.37126e12 1.11378e13i 1.24122 3.16258i
\(615\) −1.72604e11 + 2.30324e12i −0.0486533 + 0.649233i
\(616\) 1.50011e13 2.26106e12i 4.19769 0.632701i
\(617\) 3.44753e12 + 3.19884e12i 0.957688 + 0.888605i 0.993849 0.110741i \(-0.0353224\pi\)
−0.0361609 + 0.999346i \(0.511513\pi\)
\(618\) −8.22338e12 3.96017e12i −2.26779 1.09211i
\(619\) −1.48570e12 + 1.01293e12i −0.406745 + 0.277314i −0.749361 0.662161i \(-0.769639\pi\)
0.342616 + 0.939475i \(0.388687\pi\)
\(620\) 4.63988e12 + 1.18222e13i 1.26108 + 3.21319i
\(621\) −9.44230e12 + 2.91256e12i −2.54780 + 0.785892i
\(622\) 2.50258e12 2.32206e12i 0.670397 0.622037i
\(623\) −1.35200e12 + 1.69536e12i −0.359568 + 0.450884i
\(624\) 5.72891e12 7.18382e12i 1.51266 1.89682i
\(625\) 2.39615e12 2.22330e12i 0.628137 0.582826i
\(626\) 6.97375e12 2.15112e12i 1.81502 0.559860i
\(627\) 4.37996e12 + 1.11600e13i 1.13179 + 2.88376i
\(628\) −3.36217e10 + 2.29229e10i −0.00862584 + 0.00588100i
\(629\) 1.38315e11 + 6.66092e10i 0.0352324 + 0.0169670i
\(630\) −7.24883e12 6.72593e12i −1.83331 1.70106i
\(631\) −4.91096e12 + 7.40207e11i −1.23320 + 0.185875i −0.733118 0.680102i \(-0.761935\pi\)
−0.500084 + 0.865977i \(0.666697\pi\)
\(632\) 2.16211e11 2.88513e12i 0.0539076 0.719348i
\(633\) −1.41046e12 + 3.59379e12i −0.349176 + 0.889686i
\(634\) 1.52336e12 + 6.67428e12i 0.374456 + 1.64060i
\(635\) 5.24182e10 + 6.99472e11i 0.0127938 + 0.170722i
\(636\) 1.07248e13 + 3.30818e12i 2.59917 + 0.801736i
\(637\) −7.41340e11 + 3.57010e11i −0.178398 + 0.0859119i
\(638\) 3.19645e12 5.53641e12i 0.763791 1.32292i
\(639\) 1.92551e12 + 3.33508e12i 0.456870 + 0.791321i
\(640\) 8.95921e12 + 6.10828e12i 2.11086 + 1.43916i
\(641\) 1.13921e12 4.99123e12i 0.266529 1.16774i −0.647492 0.762072i \(-0.724182\pi\)
0.914021 0.405667i \(-0.132961\pi\)
\(642\) 1.34554e13 + 2.02807e12i 3.12599 + 0.471167i
\(643\) −2.91033e12 3.64944e12i −0.671418 0.841931i 0.323115 0.946360i \(-0.395270\pi\)
−0.994532 + 0.104429i \(0.966699\pi\)
\(644\) 1.33745e13 3.06401
\(645\) 6.30715e12 + 3.19592e12i 1.43488 + 0.727072i
\(646\) −6.74577e11 −0.152400
\(647\) −1.43899e12 1.80444e12i −0.322841 0.404830i 0.593754 0.804646i \(-0.297645\pi\)
−0.916595 + 0.399817i \(0.869074\pi\)
\(648\) 1.28343e13 + 1.93446e12i 2.85946 + 0.430994i
\(649\) −2.38498e12 + 1.04493e13i −0.527695 + 2.31198i
\(650\) −3.65930e11 2.49487e11i −0.0804060 0.0548199i
\(651\) −3.85057e12 6.66938e12i −0.840254 1.45536i
\(652\) −1.00336e13 + 1.73787e13i −2.17441 + 3.76620i
\(653\) 5.72055e12 2.75487e12i 1.23120 0.592915i 0.298791 0.954319i \(-0.403417\pi\)
0.932409 + 0.361404i \(0.117702\pi\)
\(654\) −6.97167e12 2.15048e12i −1.49017 0.459658i
\(655\) 2.07081e11 + 2.76330e12i 0.0439596 + 0.586600i
\(656\) 1.50835e12 + 6.60851e12i 0.318005 + 1.39327i
\(657\) 6.24158e12 1.59033e13i 1.30692 3.32999i
\(658\) 1.19949e11 1.60060e12i 0.0249447 0.332865i
\(659\) −2.59533e12 + 3.91184e11i −0.536054 + 0.0807972i −0.411490 0.911414i \(-0.634991\pi\)
−0.124564 + 0.992212i \(0.539753\pi\)
\(660\) −2.85192e13 2.64620e13i −5.85046 5.42843i
\(661\) −9.45249e11 4.55208e11i −0.192593 0.0927477i 0.335102 0.942182i \(-0.391229\pi\)
−0.527695 + 0.849434i \(0.676943\pi\)
\(662\) 6.19758e12 4.22544e12i 1.25418 0.855088i
\(663\) −1.01741e11 2.59232e11i −0.0204496 0.0521048i
\(664\) −2.26353e13 + 6.98207e12i −4.51888 + 1.39389i
\(665\) −2.38901e12 + 2.21667e12i −0.473718 + 0.439546i
\(666\) −5.73011e12 + 7.18533e12i −1.12857 + 1.41518i
\(667\) 2.20599e12 2.76623e12i 0.431557 0.541155i
\(668\) 1.57680e12 1.46305e12i 0.306395 0.284293i
\(669\) 2.81018e12 8.66825e11i 0.542395 0.167307i
\(670\) −6.68102e11 1.70230e12i −0.128087 0.326361i
\(671\) 1.00421e13 6.84655e12i 1.91237 1.30383i
\(672\) −2.06124e13 9.92639e12i −3.89911 1.87771i
\(673\) 2.30035e12 + 2.13442e12i 0.432242 + 0.401062i 0.866061 0.499938i \(-0.166644\pi\)
−0.433819 + 0.901000i \(0.642834\pi\)
\(674\) −6.47005e12 + 9.75203e11i −1.20764 + 0.182023i
\(675\) 8.49396e10 1.13344e12i 0.0157486 0.210151i
\(676\) −4.48020e12 + 1.14154e13i −0.825159 + 2.10247i
\(677\) −1.64459e11 7.20544e11i −0.0300891 0.131829i 0.957653 0.287926i \(-0.0929658\pi\)
−0.987742 + 0.156097i \(0.950109\pi\)
\(678\) 6.26280e10 + 8.35712e11i 0.0113824 + 0.151888i
\(679\) −9.72742e11 3.00051e11i −0.175624 0.0541728i
\(680\) 1.23815e12 5.96263e11i 0.222067 0.106942i
\(681\) −3.65065e12 + 6.32312e12i −0.650442 + 1.12660i
\(682\) −1.37745e13 2.38582e13i −2.43807 4.22287i
\(683\) −4.21025e12 2.87050e12i −0.740312 0.504736i 0.133471 0.991053i \(-0.457388\pi\)
−0.873783 + 0.486317i \(0.838340\pi\)
\(684\) 6.54860e12 2.86913e13i 1.14392 5.01185i
\(685\) 7.39564e12 + 1.11471e12i 1.28342 + 0.193444i
\(686\) 7.37440e12 + 9.24720e12i 1.27136 + 1.59423i
\(687\) 6.82899e12 1.16964
\(688\) 2.04524e13 + 3.50669e12i 3.48014 + 0.596690i
\(689\) 1.38843e12 0.234714
\(690\) −1.84220e13 2.31004e13i −3.09396 3.87970i
\(691\) −7.81207e12 1.17748e12i −1.30351 0.196473i −0.539670 0.841876i \(-0.681451\pi\)
−0.763842 + 0.645404i \(0.776689\pi\)
\(692\) −4.03507e12 + 1.76788e13i −0.668918 + 2.93072i
\(693\) 1.29155e13 + 8.80563e12i 2.12721 + 1.45031i
\(694\) −1.56807e12 2.71598e12i −0.256595 0.444435i
\(695\) −6.13291e11 + 1.06225e12i −0.0997092 + 0.172701i
\(696\) −1.33955e13 + 6.45095e12i −2.16381 + 1.04203i
\(697\) 1.96313e11 + 6.05547e10i 0.0315067 + 0.00971852i
\(698\) 1.34685e12 + 1.79724e13i 0.214768 + 2.86588i
\(699\) 1.88966e12 + 8.27915e12i 0.299390 + 1.31171i
\(700\) −5.62052e11 + 1.43208e12i −0.0884780 + 0.225438i
\(701\) 8.07836e11 1.07798e13i 0.126355 1.68609i −0.469449 0.882960i \(-0.655547\pi\)
0.595804 0.803130i \(-0.296834\pi\)
\(702\) 8.09107e12 1.21953e12i 1.25744 0.189529i
\(703\) 2.22033e12 + 2.06016e12i 0.342861 + 0.318129i
\(704\) −3.54449e13 1.70694e13i −5.43848 2.61903i
\(705\) −2.13505e12 + 1.45566e12i −0.325505 + 0.221926i
\(706\) 2.83986e12 + 7.23584e12i 0.430205 + 1.09614i
\(707\) 4.31494e11 1.33098e11i 0.0649513 0.0200348i
\(708\) 2.91070e13 2.70074e13i 4.35360 4.03955i
\(709\) 8.23603e12 1.03277e13i 1.22408 1.53495i 0.462895 0.886413i \(-0.346811\pi\)
0.761185 0.648535i \(-0.224618\pi\)
\(710\) −3.52380e12 + 4.41871e12i −0.520414 + 0.652579i
\(711\) 2.18534e12 2.02770e12i 0.320706 0.297571i
\(712\) 1.72391e13 5.31757e12i 2.51394 0.775449i
\(713\) −5.57035e12 1.41930e13i −0.807197 2.05670i
\(714\) −1.09677e12 + 7.47763e11i −0.157933 + 0.107677i
\(715\) −4.33621e12 2.08821e12i −0.620487 0.298811i
\(716\) 1.37522e13 + 1.27602e13i 1.95553 + 1.81447i
\(717\) −3.56923e11 + 5.37974e10i −0.0504357 + 0.00760195i
\(718\) −9.74498e11 + 1.30038e13i −0.136843 + 1.82604i
\(719\) 1.92762e12 4.91151e12i 0.268994 0.685385i −0.731002 0.682376i \(-0.760947\pi\)
0.999995 0.00300952i \(-0.000957960\pi\)
\(720\) 1.03964e13 + 4.55497e13i 1.44174 + 6.31669i
\(721\) 2.93102e11 + 3.91117e12i 0.0403933 + 0.539012i
\(722\) 6.78524e11 + 2.09297e11i 0.0929283 + 0.0286646i
\(723\) −6.60364e12 + 3.18014e12i −0.898795 + 0.432837i
\(724\) 4.01972e12 6.96237e12i 0.543717 0.941745i
\(725\) 2.03491e11 + 3.52457e11i 0.0273543 + 0.0473790i
\(726\) 4.92841e13 + 3.36013e13i 6.58403 + 4.48892i
\(727\) −1.84270e12 + 8.07339e12i −0.244652 + 1.07189i 0.692073 + 0.721827i \(0.256697\pi\)
−0.936726 + 0.350064i \(0.886160\pi\)
\(728\) −6.87498e12 1.03624e12i −0.907153 0.136731i
\(729\) −5.24478e12 6.57675e12i −0.687786 0.862457i
\(730\) 2.50727e13 3.26775
\(731\) 4.01975e11 4.83682e11i 0.0520680 0.0626515i
\(732\) −4.50264e13 −5.79652
\(733\) −6.55715e12 8.22240e12i −0.838971 1.05204i −0.997902 0.0647467i \(-0.979376\pi\)
0.158931 0.987290i \(-0.449195\pi\)
\(734\) 1.26386e13 + 1.90496e12i 1.60718 + 0.242244i
\(735\) 1.40505e12 6.15594e12i 0.177582 0.778039i
\(736\) −3.74242e13 2.55154e13i −4.70113 3.20518i
\(737\) 1.44539e12 + 2.50350e12i 0.180461 + 0.312567i
\(738\) −6.14934e12 + 1.06510e13i −0.763089 + 1.32171i
\(739\) 3.80073e12 1.83034e12i 0.468778 0.225752i −0.184555 0.982822i \(-0.559084\pi\)
0.653333 + 0.757071i \(0.273370\pi\)
\(740\) −9.39242e12 2.89718e12i −1.15142 0.355167i
\(741\) −4.10596e11 5.47902e12i −0.0500303 0.667608i
\(742\) −1.47267e12 6.45221e12i −0.178357 0.781431i
\(743\) −5.68374e12 + 1.44819e13i −0.684202 + 1.74332i −0.0153977 + 0.999881i \(0.504901\pi\)
−0.668805 + 0.743438i \(0.733194\pi\)
\(744\) −4.78800e12 + 6.38915e13i −0.572897 + 7.64477i
\(745\) −1.13037e13 + 1.70376e12i −1.34436 + 0.202630i
\(746\) −3.98358e12 3.69622e12i −0.470922 0.436951i
\(747\) −2.19905e13 1.05901e13i −2.58400 1.24439i
\(748\) −2.85917e12 + 1.94935e12i −0.333951 + 0.227684i
\(749\) −2.13626e12 5.44311e12i −0.248020 0.631944i
\(750\) 2.88211e13