Properties

Label 43.10.g.a.9.5
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 9.5
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-22.7164 - 28.4855i) q^{2} +(-193.287 - 29.1333i) q^{3} +(-181.456 + 795.011i) q^{4} +(1708.11 + 1164.57i) q^{5} +(3560.90 + 6167.67i) q^{6} +(-3657.76 + 6335.43i) q^{7} +(9961.31 - 4797.11i) q^{8} +(17702.5 + 5460.49i) q^{9} +O(q^{10})\) \(q+(-22.7164 - 28.4855i) q^{2} +(-193.287 - 29.1333i) q^{3} +(-181.456 + 795.011i) q^{4} +(1708.11 + 1164.57i) q^{5} +(3560.90 + 6167.67i) q^{6} +(-3657.76 + 6335.43i) q^{7} +(9961.31 - 4797.11i) q^{8} +(17702.5 + 5460.49i) q^{9} +(-5628.79 - 75111.0i) q^{10} +(-5732.88 - 25117.4i) q^{11} +(58234.4 - 148379. i) q^{12} +(-5739.84 + 76592.9i) q^{13} +(263559. - 39725.1i) q^{14} +(-296227. - 274858. i) q^{15} +(13233.8 + 6373.05i) q^{16} +(216590. - 147668. i) q^{17} +(-246592. - 628306. i) q^{18} +(-565889. + 174554. i) q^{19} +(-1.23579e6 + 1.14665e6i) q^{20} +(891568. - 1.11799e6i) q^{21} +(-585250. + 733881. i) q^{22} +(-510146. + 473346. i) q^{23} +(-2.06514e6 + 637013. i) q^{24} +(847856. + 2.16030e6i) q^{25} +(2.31217e6 - 1.57641e6i) q^{26} +(203847. + 98167.5i) q^{27} +(-4.37301e6 - 4.05756e6i) q^{28} +(6.58775e6 - 992944. i) q^{29} +(-1.10026e6 + 1.46820e7i) q^{30} +(-2.32410e6 + 5.92170e6i) q^{31} +(-1.37873e6 - 6.04060e6i) q^{32} +(376338. + 5.02188e6i) q^{33} +(-9.12654e6 - 2.81516e6i) q^{34} +(-1.36259e7 + 6.56188e6i) q^{35} +(-7.55338e6 + 1.30828e7i) q^{36} +(-7.75487e6 - 1.34318e7i) q^{37} +(1.78272e7 + 1.21544e7i) q^{38} +(3.34084e6 - 1.46372e7i) q^{39} +(2.26016e7 + 3.40664e6i) q^{40} +(-1.68090e7 - 2.10779e7i) q^{41} -5.20997e7 q^{42} +(-1.04810e7 + 1.98177e7i) q^{43} +2.10089e7 q^{44} +(2.38786e7 + 2.99429e7i) q^{45} +(2.50722e7 + 3.77902e6i) q^{46} +(-5.26159e6 + 2.30525e7i) q^{47} +(-2.37225e6 - 1.61737e6i) q^{48} +(-6.58162e6 - 1.13997e7i) q^{49} +(4.22770e7 - 7.32259e7i) q^{50} +(-4.61660e7 + 2.22324e7i) q^{51} +(-5.98507e7 - 1.84615e7i) q^{52} +(-55835.6 - 745075. i) q^{53} +(-1.83432e6 - 8.03669e6i) q^{54} +(1.94585e7 - 4.95796e7i) q^{55} +(-6.04432e6 + 8.06558e7i) q^{56} +(1.14464e8 - 1.72527e7i) q^{57} +(-1.77934e8 - 1.65099e8i) q^{58} +(5.87022e7 + 2.82695e7i) q^{59} +(2.72268e8 - 1.85629e8i) q^{60} +(-5.75103e7 - 1.46534e8i) q^{61} +(2.21478e8 - 6.83168e7i) q^{62} +(-9.93460e7 + 9.21796e7i) q^{63} +(-1.36061e8 + 1.70615e8i) q^{64} +(-9.90019e7 + 1.24144e8i) q^{65} +(1.34502e8 - 1.24799e8i) q^{66} +(-1.55289e8 + 4.79003e7i) q^{67} +(7.80965e7 + 1.98987e8i) q^{68} +(1.12395e8 - 7.66293e7i) q^{69} +(4.96449e8 + 2.39077e8i) q^{70} +(-5.48376e7 - 5.08819e7i) q^{71} +(2.02534e8 - 3.05272e7i) q^{72} +(-2.37260e7 + 3.16601e8i) q^{73} +(-2.06449e8 + 5.26024e8i) q^{74} +(-1.00943e8 - 4.42259e8i) q^{75} +(-3.60881e7 - 4.81562e8i) q^{76} +(1.80099e8 + 5.55532e7i) q^{77} +(-4.92838e8 + 2.37339e8i) q^{78} +(2.76130e8 - 4.78271e8i) q^{79} +(1.51829e7 + 2.62975e7i) q^{80} +(-3.37819e8 - 2.30321e8i) q^{81} +(-2.18572e8 + 9.57626e8i) q^{82} +(-3.77978e8 - 5.69710e7i) q^{83} +(7.27035e8 + 9.11673e8i) q^{84} +5.41928e8 q^{85} +(8.02607e8 - 1.51632e8i) q^{86} -1.30225e9 q^{87} +(-1.77598e8 - 2.22701e8i) q^{88} +(-9.22186e8 - 1.38997e8i) q^{89} +(3.10500e8 - 1.36039e9i) q^{90} +(-4.64254e8 - 3.16523e8i) q^{91} +(-2.83746e8 - 4.91463e8i) q^{92} +(6.21736e8 - 1.07688e9i) q^{93} +(7.76186e8 - 3.73792e8i) q^{94} +(-1.16988e9 - 3.60860e8i) q^{95} +(9.05072e7 + 1.20773e9i) q^{96} +(-9.04823e7 - 3.96429e8i) q^{97} +(-1.75215e8 + 4.46440e8i) q^{98} +(3.56671e7 - 4.75945e8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −22.7164 28.4855i −1.00393 1.25889i −0.965710 0.259622i \(-0.916402\pi\)
−0.0382223 0.999269i \(-0.512170\pi\)
\(3\) −193.287 29.1333i −1.37771 0.207656i −0.581926 0.813242i \(-0.697701\pi\)
−0.795780 + 0.605586i \(0.792939\pi\)
\(4\) −181.456 + 795.011i −0.354407 + 1.55276i
\(5\) 1708.11 + 1164.57i 1.22222 + 0.833297i 0.990233 0.139421i \(-0.0445242\pi\)
0.231989 + 0.972718i \(0.425477\pi\)
\(6\) 3560.90 + 6167.67i 1.12171 + 1.94285i
\(7\) −3657.76 + 6335.43i −0.575803 + 0.997320i 0.420151 + 0.907454i \(0.361977\pi\)
−0.995954 + 0.0898660i \(0.971356\pi\)
\(8\) 9961.31 4797.11i 0.859828 0.414071i
\(9\) 17702.5 + 5460.49i 0.899379 + 0.277422i
\(10\) −5628.79 75111.0i −0.177998 2.37522i
\(11\) −5732.88 25117.4i −0.118061 0.517259i −0.999028 0.0440810i \(-0.985964\pi\)
0.880967 0.473178i \(-0.156893\pi\)
\(12\) 58234.4 148379.i 0.810707 2.06565i
\(13\) −5739.84 + 76592.9i −0.0557385 + 0.743778i 0.897395 + 0.441228i \(0.145457\pi\)
−0.953133 + 0.302550i \(0.902162\pi\)
\(14\) 263559. 39725.1i 1.83359 0.276369i
\(15\) −296227. 274858.i −1.51082 1.40184i
\(16\) 13233.8 + 6373.05i 0.0504829 + 0.0243113i
\(17\) 216590. 147668.i 0.628952 0.428812i −0.206446 0.978458i \(-0.566190\pi\)
0.835398 + 0.549646i \(0.185237\pi\)
\(18\) −246592. 628306.i −0.553672 1.41073i
\(19\) −565889. + 174554.i −0.996185 + 0.307282i −0.749638 0.661848i \(-0.769772\pi\)
−0.246547 + 0.969131i \(0.579296\pi\)
\(20\) −1.23579e6 + 1.14665e6i −1.72707 + 1.60249i
\(21\) 891568. 1.11799e6i 1.00039 1.25445i
\(22\) −585250. + 733881.i −0.532647 + 0.667919i
\(23\) −510146. + 473346.i −0.380118 + 0.352698i −0.846973 0.531636i \(-0.821578\pi\)
0.466855 + 0.884334i \(0.345387\pi\)
\(24\) −2.06514e6 + 637013.i −1.27057 + 0.391920i
\(25\) 847856. + 2.16030e6i 0.434102 + 1.10607i
\(26\) 2.31217e6 1.57641e6i 0.992294 0.676534i
\(27\) 203847. + 98167.5i 0.0738189 + 0.0355493i
\(28\) −4.37301e6 4.05756e6i −1.34453 1.24754i
\(29\) 6.58775e6 992944.i 1.72960 0.260696i 0.792530 0.609832i \(-0.208763\pi\)
0.937072 + 0.349137i \(0.113525\pi\)
\(30\) −1.10026e6 + 1.46820e7i −0.247999 + 3.30932i
\(31\) −2.32410e6 + 5.92170e6i −0.451988 + 1.15165i 0.505412 + 0.862878i \(0.331341\pi\)
−0.957399 + 0.288767i \(0.906755\pi\)
\(32\) −1.37873e6 6.04060e6i −0.232436 1.01837i
\(33\) 376338. + 5.02188e6i 0.0552415 + 0.737146i
\(34\) −9.12654e6 2.81516e6i −1.17125 0.361284i
\(35\) −1.36259e7 + 6.56188e6i −1.53482 + 0.739132i
\(36\) −7.55338e6 + 1.30828e7i −0.749514 + 1.29820i
\(37\) −7.75487e6 1.34318e7i −0.680247 1.17822i −0.974905 0.222620i \(-0.928539\pi\)
0.294658 0.955603i \(-0.404794\pi\)
\(38\) 1.78272e7 + 1.21544e7i 1.38694 + 0.945598i
\(39\) 3.34084e6 1.46372e7i 0.231241 1.01313i
\(40\) 2.26016e7 + 3.40664e6i 1.39595 + 0.210405i
\(41\) −1.68090e7 2.10779e7i −0.928999 1.16493i −0.986032 0.166556i \(-0.946735\pi\)
0.0570325 0.998372i \(-0.481836\pi\)
\(42\) −5.20997e7 −2.58353
\(43\) −1.04810e7 + 1.98177e7i −0.467512 + 0.883987i
\(44\) 2.10089e7 0.845018
\(45\) 2.38786e7 + 2.99429e7i 0.868067 + 1.08852i
\(46\) 2.50722e7 + 3.77902e6i 0.825622 + 0.124443i
\(47\) −5.26159e6 + 2.30525e7i −0.157281 + 0.689094i 0.833375 + 0.552708i \(0.186406\pi\)
−0.990656 + 0.136385i \(0.956451\pi\)
\(48\) −2.37225e6 1.61737e6i −0.0645022 0.0439768i
\(49\) −6.58162e6 1.13997e7i −0.163099 0.282495i
\(50\) 4.22770e7 7.32259e7i 0.956619 1.65691i
\(51\) −4.61660e7 + 2.22324e7i −0.955556 + 0.460172i
\(52\) −5.98507e7 1.84615e7i −1.13515 0.350148i
\(53\) −55835.6 745075.i −0.000972008 0.0129706i 0.996697 0.0812138i \(-0.0258797\pi\)
−0.997669 + 0.0682432i \(0.978261\pi\)
\(54\) −1.83432e6 8.03669e6i −0.0293565 0.128619i
\(55\) 1.94585e7 4.95796e7i 0.286733 0.730585i
\(56\) −6.04432e6 + 8.06558e7i −0.0821299 + 1.09595i
\(57\) 1.14464e8 1.72527e7i 1.43626 0.216481i
\(58\) −1.77934e8 1.65099e8i −2.06459 1.91566i
\(59\) 5.87022e7 + 2.82695e7i 0.630696 + 0.303727i 0.721787 0.692115i \(-0.243321\pi\)
−0.0910909 + 0.995843i \(0.529035\pi\)
\(60\) 2.72268e8 1.85629e8i 2.71216 1.84912i
\(61\) −5.75103e7 1.46534e8i −0.531816 1.35504i −0.904257 0.426988i \(-0.859575\pi\)
0.372441 0.928056i \(-0.378521\pi\)
\(62\) 2.21478e8 6.83168e7i 1.90356 0.587171i
\(63\) −9.93460e7 + 9.21796e7i −0.794544 + 0.737229i
\(64\) −1.36061e8 + 1.70615e8i −1.01373 + 1.27118i
\(65\) −9.90019e7 + 1.24144e8i −0.687913 + 0.862616i
\(66\) 1.34502e8 1.24799e8i 0.872528 0.809588i
\(67\) −1.55289e8 + 4.79003e7i −0.941465 + 0.290404i −0.727242 0.686381i \(-0.759198\pi\)
−0.214223 + 0.976785i \(0.568722\pi\)
\(68\) 7.80965e7 + 1.98987e8i 0.442936 + 1.12858i
\(69\) 1.12395e8 7.66293e7i 0.596931 0.406981i
\(70\) 4.96449e8 + 2.39077e8i 2.47135 + 1.19014i
\(71\) −5.48376e7 5.08819e7i −0.256104 0.237630i 0.541663 0.840596i \(-0.317795\pi\)
−0.797767 + 0.602966i \(0.793985\pi\)
\(72\) 2.02534e8 3.05272e7i 0.888184 0.133872i
\(73\) −2.37260e7 + 3.16601e8i −0.0977848 + 1.30485i 0.705269 + 0.708940i \(0.250826\pi\)
−0.803053 + 0.595907i \(0.796793\pi\)
\(74\) −2.06449e8 + 5.26024e8i −0.800333 + 2.03921i
\(75\) −1.00943e8 4.42259e8i −0.368382 1.61399i
\(76\) −3.60881e7 4.81562e8i −0.124080 1.65574i
\(77\) 1.80099e8 + 5.55532e7i 0.583852 + 0.180095i
\(78\) −4.92838e8 + 2.37339e8i −1.50757 + 0.726010i
\(79\) 2.76130e8 4.78271e8i 0.797612 1.38151i −0.123555 0.992338i \(-0.539429\pi\)
0.921167 0.389168i \(-0.127237\pi\)
\(80\) 1.51829e7 + 2.62975e7i 0.0414428 + 0.0717810i
\(81\) −3.37819e8 2.30321e8i −0.871969 0.594499i
\(82\) −2.18572e8 + 9.57626e8i −0.533866 + 2.33902i
\(83\) −3.77978e8 5.69710e7i −0.874209 0.131766i −0.303414 0.952859i \(-0.598127\pi\)
−0.570794 + 0.821093i \(0.693365\pi\)
\(84\) 7.27035e8 + 9.11673e8i 1.59330 + 1.99794i
\(85\) 5.41928e8 1.12605
\(86\) 8.02607e8 1.51632e8i 1.58219 0.298916i
\(87\) −1.30225e9 −2.43702
\(88\) −1.77598e8 2.22701e8i −0.315694 0.395868i
\(89\) −9.22186e8 1.38997e8i −1.55799 0.234829i −0.687191 0.726476i \(-0.741157\pi\)
−0.870794 + 0.491648i \(0.836395\pi\)
\(90\) 3.10500e8 1.36039e9i 0.498850 2.18560i
\(91\) −4.64254e8 3.16523e8i −0.709691 0.483859i
\(92\) −2.83746e8 4.91463e8i −0.412938 0.715230i
\(93\) 6.21736e8 1.07688e9i 0.861852 1.49277i
\(94\) 7.76186e8 3.73792e8i 1.02539 0.493804i
\(95\) −1.16988e9 3.60860e8i −1.47362 0.454551i
\(96\) 9.05072e7 + 1.20773e9i 0.108758 + 1.45128i
\(97\) −9.04823e7 3.96429e8i −0.103775 0.454666i −0.999940 0.0109461i \(-0.996516\pi\)
0.896166 0.443720i \(-0.146341\pi\)
\(98\) −1.75215e8 + 4.46440e8i −0.191891 + 0.488929i
\(99\) 3.56671e7 4.75945e8i 0.0373173 0.497964i
\(100\) −1.87131e9 + 2.82055e8i −1.87131 + 0.282055i
\(101\) 7.57359e8 + 7.02726e8i 0.724195 + 0.671955i 0.953498 0.301400i \(-0.0974540\pi\)
−0.229303 + 0.973355i \(0.573645\pi\)
\(102\) 1.68202e9 + 8.10020e8i 1.53862 + 0.740960i
\(103\) 1.12873e8 7.69553e7i 0.0988147 0.0673707i −0.512905 0.858446i \(-0.671431\pi\)
0.611719 + 0.791075i \(0.290478\pi\)
\(104\) 3.10248e8 + 7.90500e8i 0.260052 + 0.662601i
\(105\) 2.82487e9 8.71358e8i 2.26802 0.699592i
\(106\) −1.99554e7 + 1.85159e7i −0.0153527 + 0.0142452i
\(107\) −1.00361e7 + 1.25849e7i −0.00740183 + 0.00928160i −0.785519 0.618838i \(-0.787604\pi\)
0.778117 + 0.628120i \(0.216175\pi\)
\(108\) −1.15034e8 + 1.44248e8i −0.0813613 + 0.102024i
\(109\) 1.23512e8 1.14603e8i 0.0838090 0.0777634i −0.637156 0.770735i \(-0.719889\pi\)
0.720965 + 0.692971i \(0.243699\pi\)
\(110\) −1.85432e9 + 5.71983e8i −1.20759 + 0.372492i
\(111\) 1.10760e9 + 2.82212e9i 0.692516 + 1.76450i
\(112\) −8.87820e7 + 6.05306e7i −0.0533143 + 0.0363491i
\(113\) −2.22263e9 1.07036e9i −1.28237 0.617559i −0.336375 0.941728i \(-0.609201\pi\)
−0.945999 + 0.324169i \(0.894915\pi\)
\(114\) −3.09167e9 2.86865e9i −1.71443 1.59076i
\(115\) −1.42263e9 + 2.14427e8i −0.758492 + 0.114324i
\(116\) −4.05986e8 + 5.41751e9i −0.208186 + 2.77804i
\(117\) −5.19844e8 + 1.32454e9i −0.256470 + 0.653476i
\(118\) −5.28233e8 2.31434e9i −0.250817 1.09890i
\(119\) 1.43309e8 + 1.91232e9i 0.0655106 + 0.874178i
\(120\) −4.26933e9 1.31692e9i −1.87951 0.579752i
\(121\) 1.52642e9 7.35085e8i 0.647351 0.311748i
\(122\) −2.86766e9 + 4.96693e9i −1.17195 + 2.02987i
\(123\) 2.63490e9 + 4.56377e9i 1.03798 + 1.79784i
\(124\) −4.28610e9 2.92221e9i −1.62804 1.10998i
\(125\) −1.69105e8 + 7.40897e8i −0.0619528 + 0.271433i
\(126\) 4.88256e9 + 7.35928e8i 1.72576 + 0.260116i
\(127\) 1.19461e9 + 1.49799e9i 0.407482 + 0.510967i 0.942652 0.333778i \(-0.108324\pi\)
−0.535169 + 0.844745i \(0.679752\pi\)
\(128\) 4.77852e9 1.57343
\(129\) 2.60319e9 3.52516e9i 0.827659 1.12079i
\(130\) 5.78528e9 1.77656
\(131\) −2.39014e9 2.99714e9i −0.709091 0.889172i 0.288575 0.957457i \(-0.406819\pi\)
−0.997666 + 0.0682856i \(0.978247\pi\)
\(132\) −4.06074e9 6.12058e8i −1.16419 0.175473i
\(133\) 9.64015e8 4.22362e9i 0.267148 1.17045i
\(134\) 4.89207e9 + 3.33536e9i 1.31075 + 0.893657i
\(135\) 2.33870e8 + 4.05074e8i 0.0605999 + 0.104962i
\(136\) 1.44913e9 2.50998e9i 0.363232 0.629136i
\(137\) 2.85331e8 1.37408e8i 0.0692001 0.0333250i −0.398964 0.916967i \(-0.630630\pi\)
0.468164 + 0.883642i \(0.344916\pi\)
\(138\) −4.73602e9 1.46087e9i −1.11162 0.342890i
\(139\) −6.40748e8 8.55018e9i −0.145586 1.94271i −0.298362 0.954453i \(-0.596440\pi\)
0.152776 0.988261i \(-0.451179\pi\)
\(140\) −2.74427e9 1.20234e10i −0.603741 2.64516i
\(141\) 1.68859e9 4.30246e9i 0.359781 0.916708i
\(142\) −2.03681e8 + 2.71793e9i −0.0420390 + 0.560971i
\(143\) 1.95672e9 2.94928e8i 0.391306 0.0589799i
\(144\) 1.99471e8 + 1.85082e8i 0.0386588 + 0.0358701i
\(145\) 1.24089e10 + 5.97583e9i 2.33120 + 1.12264i
\(146\) 9.55750e9 6.51619e9i 1.74083 1.18688i
\(147\) 9.40029e8 + 2.39515e9i 0.166040 + 0.423063i
\(148\) 1.20856e10 3.72792e9i 2.07058 0.638689i
\(149\) −2.96098e9 + 2.74738e9i −0.492149 + 0.456648i −0.886780 0.462192i \(-0.847063\pi\)
0.394631 + 0.918840i \(0.370873\pi\)
\(150\) −1.03049e10 + 1.29219e10i −1.66201 + 2.08409i
\(151\) 2.60902e9 3.27160e9i 0.408395 0.512111i −0.534515 0.845159i \(-0.679506\pi\)
0.942910 + 0.333048i \(0.108077\pi\)
\(152\) −4.79964e9 + 4.45342e9i −0.729311 + 0.676702i
\(153\) 4.64052e9 1.43141e9i 0.684628 0.211180i
\(154\) −2.50874e9 6.39217e9i −0.359429 0.915810i
\(155\) −1.08660e10 + 7.40833e9i −1.51209 + 1.03093i
\(156\) 1.10305e10 + 5.31201e9i 1.49120 + 0.718122i
\(157\) −9.11372e9 8.45629e9i −1.19715 1.11079i −0.991220 0.132221i \(-0.957789\pi\)
−0.205926 0.978568i \(-0.566020\pi\)
\(158\) −1.98965e10 + 2.99891e9i −2.53991 + 0.382831i
\(159\) −1.09142e7 + 1.45640e8i −0.00135427 + 0.0180714i
\(160\) 4.67967e9 1.19236e10i 0.564515 1.43836i
\(161\) −1.13286e9 4.96338e9i −0.132880 0.582185i
\(162\) 1.11323e9 + 1.48550e10i 0.126989 + 1.69455i
\(163\) −2.68937e9 8.29559e8i −0.298405 0.0920457i 0.141938 0.989876i \(-0.454667\pi\)
−0.440342 + 0.897830i \(0.645143\pi\)
\(164\) 1.98072e10 9.53867e9i 2.13809 1.02965i
\(165\) −5.20549e9 + 9.01618e9i −0.546744 + 0.946989i
\(166\) 6.96345e9 + 1.20611e10i 0.711768 + 1.23282i
\(167\) −9.13392e9 6.22740e9i −0.908727 0.619559i 0.0161323 0.999870i \(-0.494865\pi\)
−0.924859 + 0.380311i \(0.875817\pi\)
\(168\) 3.51806e9 1.54136e10i 0.340731 1.49284i
\(169\) 4.65253e9 + 7.01256e8i 0.438732 + 0.0661282i
\(170\) −1.23107e10 1.54371e10i −1.13048 1.41757i
\(171\) −1.09708e10 −0.981195
\(172\) −1.38535e10 1.19285e10i −1.20693 1.03922i
\(173\) −7.42390e9 −0.630122 −0.315061 0.949071i \(-0.602025\pi\)
−0.315061 + 0.949071i \(0.602025\pi\)
\(174\) 2.95825e10 + 3.70953e10i 2.44660 + 3.06794i
\(175\) −1.67877e10 2.53034e9i −1.35307 0.203942i
\(176\) 8.42068e7 3.68934e8i 0.00661516 0.0289829i
\(177\) −1.05228e10 7.17430e9i −0.805843 0.549414i
\(178\) 1.69893e10 + 2.94264e10i 1.26849 + 2.19709i
\(179\) 1.55771e9 2.69803e9i 0.113409 0.196430i −0.803734 0.594989i \(-0.797156\pi\)
0.917143 + 0.398559i \(0.130490\pi\)
\(180\) −2.81378e10 + 1.35505e10i −1.99786 + 0.962117i
\(181\) 2.39372e10 + 7.38364e9i 1.65775 + 0.511349i 0.975543 0.219809i \(-0.0705435\pi\)
0.682208 + 0.731158i \(0.261020\pi\)
\(182\) 1.52987e9 + 2.04147e10i 0.103356 + 1.37919i
\(183\) 6.84696e9 + 2.99985e10i 0.451303 + 1.97729i
\(184\) −2.81102e9 + 7.16237e9i −0.180794 + 0.460656i
\(185\) 2.39613e9 3.19741e10i 0.150396 2.00690i
\(186\) −4.47990e10 + 6.75236e9i −2.74448 + 0.413663i
\(187\) −4.95073e9 4.59360e9i −0.296061 0.274705i
\(188\) −1.73723e10 8.36605e9i −1.01425 0.488439i
\(189\) −1.36756e9 + 9.32384e8i −0.0779592 + 0.0531517i
\(190\) 1.62962e10 + 4.15220e10i 0.907182 + 2.31146i
\(191\) 2.32883e10 7.18350e9i 1.26616 0.390558i 0.412293 0.911051i \(-0.364728\pi\)
0.853866 + 0.520493i \(0.174252\pi\)
\(192\) 3.12693e10 2.90137e10i 1.66059 1.54080i
\(193\) −6.09881e9 + 7.64766e9i −0.316400 + 0.396754i −0.914446 0.404709i \(-0.867373\pi\)
0.598045 + 0.801462i \(0.295944\pi\)
\(194\) −9.23703e9 + 1.15829e10i −0.468192 + 0.587095i
\(195\) 2.27525e10 2.11112e10i 1.12687 1.04558i
\(196\) 1.02572e10 3.16392e9i 0.496449 0.153134i
\(197\) 1.09942e10 + 2.80128e10i 0.520074 + 1.32513i 0.913899 + 0.405942i \(0.133057\pi\)
−0.393824 + 0.919186i \(0.628848\pi\)
\(198\) −1.43677e10 + 9.79576e9i −0.664347 + 0.452944i
\(199\) −3.56362e10 1.71615e10i −1.61084 0.775740i −0.610968 0.791655i \(-0.709220\pi\)
−0.999873 + 0.0159152i \(0.994934\pi\)
\(200\) 1.88090e10 + 1.74522e10i 0.831247 + 0.771284i
\(201\) 3.14108e10 4.73442e9i 1.35737 0.204590i
\(202\) 2.81302e9 3.75371e10i 0.118875 1.58628i
\(203\) −1.78057e10 + 4.53682e10i −0.735913 + 1.87508i
\(204\) −9.29788e9 4.07367e10i −0.375879 1.64683i
\(205\) −4.16503e9 5.55785e10i −0.164712 2.19793i
\(206\) −4.75617e9 1.46708e9i −0.184016 0.0567613i
\(207\) −1.16155e10 + 5.59375e9i −0.439717 + 0.211756i
\(208\) −5.64091e8 + 9.77033e8i −0.0208960 + 0.0361930i
\(209\) 7.62851e9 + 1.32130e10i 0.276555 + 0.479007i
\(210\) −8.89919e10 6.06737e10i −3.15765 2.15285i
\(211\) 1.19583e10 5.23925e10i 0.415333 1.81969i −0.142566 0.989785i \(-0.545535\pi\)
0.557899 0.829909i \(-0.311608\pi\)
\(212\) 6.02475e8 + 9.08084e7i 0.0204846 + 0.00308756i
\(213\) 9.11703e9 + 1.14324e10i 0.303491 + 0.380565i
\(214\) 5.86471e8 0.0191155
\(215\) −4.09817e10 + 2.16450e10i −1.30803 + 0.690851i
\(216\) 2.50150e9 0.0781915
\(217\) −2.90155e10 3.63843e10i −0.888304 1.11390i
\(218\) −6.07026e9 9.14945e8i −0.182034 0.0274372i
\(219\) 1.38096e10 6.05036e10i 0.405678 1.77739i
\(220\) 3.58854e10 + 2.44663e10i 1.03280 + 0.704151i
\(221\) 1.00672e10 + 1.74368e10i 0.283884 + 0.491702i
\(222\) 5.52287e10 9.56589e10i 1.52608 2.64324i
\(223\) −1.59186e10 + 7.66597e9i −0.431054 + 0.207585i −0.636814 0.771018i \(-0.719748\pi\)
0.205759 + 0.978603i \(0.434034\pi\)
\(224\) 4.33128e10 + 1.33602e10i 1.14948 + 0.354567i
\(225\) 3.21284e9 + 4.28724e10i 0.0835734 + 1.11521i
\(226\) 2.00004e10 + 8.76275e10i 0.509977 + 2.23436i
\(227\) −1.68675e9 + 4.29776e9i −0.0421632 + 0.107430i −0.950404 0.311017i \(-0.899330\pi\)
0.908241 + 0.418447i \(0.137426\pi\)
\(228\) −7.05414e9 + 9.41309e10i −0.172877 + 2.30688i
\(229\) −3.14159e10 + 4.73519e9i −0.754902 + 0.113783i −0.515208 0.857065i \(-0.672285\pi\)
−0.239694 + 0.970849i \(0.577047\pi\)
\(230\) 3.84250e10 + 3.56532e10i 0.905396 + 0.840085i
\(231\) −3.31923e10 1.59846e10i −0.766979 0.369358i
\(232\) 6.08594e10 4.14932e10i 1.37921 0.940332i
\(233\) 1.65264e10 + 4.21086e10i 0.367347 + 0.935986i 0.988353 + 0.152180i \(0.0486292\pi\)
−0.621005 + 0.783806i \(0.713276\pi\)
\(234\) 4.95392e10 1.52808e10i 1.08013 0.333177i
\(235\) −3.58336e10 + 3.32487e10i −0.766452 + 0.711164i
\(236\) −3.31264e10 + 4.15392e10i −0.695137 + 0.871674i
\(237\) −6.73059e10 + 8.43990e10i −1.38575 + 1.73768i
\(238\) 5.12180e10 4.75233e10i 1.03473 0.960087i
\(239\) 4.73575e10 1.46079e10i 0.938854 0.289598i 0.212690 0.977120i \(-0.431777\pi\)
0.726164 + 0.687521i \(0.241301\pi\)
\(240\) −2.16851e9 5.52529e9i −0.0421902 0.107499i
\(241\) −4.06952e10 + 2.77455e10i −0.777082 + 0.529805i −0.885689 0.464279i \(-0.846313\pi\)
0.108607 + 0.994085i \(0.465361\pi\)
\(242\) −5.56140e10 2.67823e10i −1.04235 0.501971i
\(243\) 5.53214e10 + 5.13307e10i 1.01781 + 0.944385i
\(244\) 1.26932e11 1.91319e10i 2.29253 0.345544i
\(245\) 2.03361e9 2.71366e10i 0.0360596 0.481181i
\(246\) 7.01459e10 1.78729e11i 1.22122 3.11162i
\(247\) −1.01215e10 4.43450e10i −0.173024 0.758068i
\(248\) 5.25603e9 + 7.01368e10i 0.0882318 + 1.17737i
\(249\) 7.13984e10 + 2.20235e10i 1.17704 + 0.363069i
\(250\) 2.49462e10 1.20135e10i 0.403901 0.194508i
\(251\) −1.39451e10 + 2.41536e10i −0.221763 + 0.384105i −0.955343 0.295498i \(-0.904514\pi\)
0.733580 + 0.679603i \(0.237848\pi\)
\(252\) −5.52569e10 9.57077e10i −0.863145 1.49501i
\(253\) 1.48138e10 + 1.00999e10i 0.227313 + 0.154980i
\(254\) 1.55338e10 6.80579e10i 0.234167 1.02595i
\(255\) −1.04748e11 1.57882e10i −1.55136 0.233830i
\(256\) −3.88878e10 4.87637e10i −0.565891 0.709605i
\(257\) −1.70957e9 −0.0244449 −0.0122224 0.999925i \(-0.503891\pi\)
−0.0122224 + 0.999925i \(0.503891\pi\)
\(258\) −1.59551e11 + 5.92593e9i −2.24187 + 0.0832661i
\(259\) 1.13462e11 1.56675
\(260\) −8.07318e10 1.01234e11i −1.09563 1.37388i
\(261\) 1.22042e11 + 1.83948e10i 1.62789 + 0.245365i
\(262\) −3.10795e10 + 1.36168e11i −0.407491 + 1.78534i
\(263\) −2.32075e10 1.58226e10i −0.299108 0.203928i 0.404461 0.914555i \(-0.367459\pi\)
−0.703569 + 0.710627i \(0.748411\pi\)
\(264\) 2.78393e10 + 4.82192e10i 0.352729 + 0.610945i
\(265\) 7.72317e8 1.33769e9i 0.00962031 0.0166629i
\(266\) −1.42211e11 + 6.84851e10i −1.74167 + 0.838743i
\(267\) 1.74197e11 + 5.37326e10i 2.09768 + 0.647049i
\(268\) −9.90315e9 1.32148e11i −0.117265 1.56479i
\(269\) −3.19442e10 1.39957e11i −0.371969 1.62970i −0.721244 0.692682i \(-0.756429\pi\)
0.349275 0.937020i \(-0.386428\pi\)
\(270\) 6.22605e9 1.58637e10i 0.0712977 0.181664i
\(271\) −8.35221e9 + 1.11452e11i −0.0940675 + 1.25524i 0.727890 + 0.685694i \(0.240501\pi\)
−0.821957 + 0.569549i \(0.807118\pi\)
\(272\) 3.80740e9 5.73873e8i 0.0421763 0.00635705i
\(273\) 8.05127e10 + 7.47049e10i 0.877269 + 0.813987i
\(274\) −1.03958e10 5.00637e9i −0.111425 0.0536593i
\(275\) 4.94005e10 3.36807e10i 0.520876 0.355127i
\(276\) 4.05265e10 + 1.03260e11i 0.420386 + 1.07113i
\(277\) −3.17271e10 + 9.78650e9i −0.323796 + 0.0998777i −0.452392 0.891819i \(-0.649429\pi\)
0.128596 + 0.991697i \(0.458953\pi\)
\(278\) −2.29000e11 + 2.12481e11i −2.29951 + 2.13363i
\(279\) −7.34777e10 + 9.21381e10i −0.726000 + 0.910375i
\(280\) −1.04254e11 + 1.30730e11i −1.01363 + 1.27105i
\(281\) −6.28478e10 + 5.83143e10i −0.601329 + 0.557952i −0.920993 0.389579i \(-0.872620\pi\)
0.319664 + 0.947531i \(0.396430\pi\)
\(282\) −1.60916e11 + 4.96361e10i −1.51523 + 0.467387i
\(283\) −6.20185e9 1.58021e10i −0.0574754 0.146445i 0.899252 0.437432i \(-0.144112\pi\)
−0.956727 + 0.290987i \(0.906017\pi\)
\(284\) 5.04023e10 3.43637e10i 0.459746 0.313450i
\(285\) 2.15609e11 + 1.03832e11i 1.93582 + 0.932242i
\(286\) −5.28508e10 4.90384e10i −0.467094 0.433400i
\(287\) 1.95021e11 2.93946e10i 1.69673 0.255741i
\(288\) 8.57775e9 1.14462e11i 0.0734695 0.980383i
\(289\) −1.82199e10 + 4.64235e10i −0.153640 + 0.391469i
\(290\) −1.11662e11 4.89224e11i −0.927075 4.06178i
\(291\) 5.93975e9 + 7.92605e10i 0.0485568 + 0.647945i
\(292\) −2.47396e11 7.63117e10i −1.99145 0.614282i
\(293\) 5.84479e10 2.81470e10i 0.463303 0.223115i −0.187646 0.982237i \(-0.560086\pi\)
0.650948 + 0.759122i \(0.274371\pi\)
\(294\) 4.68730e10 8.11864e10i 0.365898 0.633754i
\(295\) 6.73479e10 + 1.16650e11i 0.517756 + 0.896779i
\(296\) −1.41683e11 9.65976e10i −1.07276 0.731398i
\(297\) 1.29708e9 5.68289e9i 0.00967305 0.0423804i
\(298\) 1.45523e11 + 2.19341e10i 1.06895 + 0.161119i
\(299\) −3.33268e10 4.17905e10i −0.241142 0.302383i
\(300\) 3.69917e11 2.63669
\(301\) −8.72169e10 1.38890e11i −0.612423 0.975262i
\(302\) −1.52461e11 −1.05469
\(303\) −1.25915e11 1.57892e11i −0.858192 1.07614i
\(304\) −8.60129e9 1.29644e9i −0.0577607 0.00870603i
\(305\) 7.24148e10 3.17270e11i 0.479157 2.09933i
\(306\) −1.46190e11 9.96708e10i −0.953173 0.649863i
\(307\) 6.46082e9 + 1.11905e10i 0.0415112 + 0.0718994i 0.886035 0.463619i \(-0.153449\pi\)
−0.844523 + 0.535519i \(0.820116\pi\)
\(308\) −7.68455e10 + 1.33100e11i −0.486564 + 0.842754i
\(309\) −2.40588e10 + 1.15861e10i −0.150127 + 0.0722976i
\(310\) 4.57867e11 + 1.41233e11i 2.81586 + 0.868579i
\(311\) 6.13883e9 + 8.19170e10i 0.0372104 + 0.496538i 0.984409 + 0.175892i \(0.0562809\pi\)
−0.947199 + 0.320646i \(0.896100\pi\)
\(312\) −3.69370e10 1.61832e11i −0.220682 0.966870i
\(313\) −9.49250e10 + 2.41865e11i −0.559025 + 1.42437i 0.319918 + 0.947445i \(0.396345\pi\)
−0.878943 + 0.476927i \(0.841751\pi\)
\(314\) −3.38506e10 + 4.51705e11i −0.196509 + 2.62223i
\(315\) −2.77043e11 + 4.17575e10i −1.58544 + 0.238967i
\(316\) 3.30126e11 + 3.06312e11i 1.86246 + 1.72811i
\(317\) 2.43623e11 + 1.17323e11i 1.35504 + 0.652553i 0.963525 0.267618i \(-0.0862365\pi\)
0.391516 + 0.920171i \(0.371951\pi\)
\(318\) 4.39655e9 2.99751e9i 0.0241096 0.0164376i
\(319\) −6.27070e10 1.59775e11i −0.339045 0.863874i
\(320\) −4.31099e11 + 1.32976e11i −2.29827 + 0.708923i
\(321\) 2.30649e9 2.14011e9i 0.0121249 0.0112503i
\(322\) −1.15650e11 + 1.45020e11i −0.599505 + 0.751756i
\(323\) −9.67897e10 + 1.21370e11i −0.494786 + 0.620442i
\(324\) 2.44407e11 2.26777e11i 1.23214 1.14326i
\(325\) −1.70330e11 + 5.25400e10i −0.846870 + 0.261225i
\(326\) 3.74623e10 + 9.54524e10i 0.183703 + 0.468067i
\(327\) −2.72120e10 + 1.85528e10i −0.131612 + 0.0897316i
\(328\) −2.68553e11 1.29328e11i −1.28114 0.616966i
\(329\) −1.26802e11 1.17655e11i −0.596684 0.553642i
\(330\) 3.75080e11 5.65342e10i 1.74105 0.262421i
\(331\) −1.09495e10 + 1.46112e11i −0.0501384 + 0.669050i 0.914350 + 0.404925i \(0.132702\pi\)
−0.964488 + 0.264125i \(0.914917\pi\)
\(332\) 1.13879e11 2.90159e11i 0.514425 1.31073i
\(333\) −6.39361e10 2.80122e11i −0.284936 1.24838i
\(334\) 3.00994e10 + 4.01648e11i 0.132342 + 1.76598i
\(335\) −3.21034e11 9.90258e10i −1.39267 0.429582i
\(336\) 1.89238e10 9.11324e9i 0.0809995 0.0390073i
\(337\) 1.16168e11 2.01209e11i 0.490627 0.849790i −0.509315 0.860580i \(-0.670101\pi\)
0.999942 + 0.0107898i \(0.00343456\pi\)
\(338\) −8.57131e10 1.48459e11i −0.357209 0.618704i
\(339\) 3.98422e11 + 2.71640e11i 1.63849 + 1.11711i
\(340\) −9.83362e10 + 4.30839e11i −0.399079 + 1.74848i
\(341\) 1.62062e11 + 2.44268e10i 0.649061 + 0.0978301i
\(342\) 2.49217e11 + 3.12508e11i 0.985054 + 1.23522i
\(343\) −1.98912e11 −0.775956
\(344\) −9.33623e9 + 2.47689e11i −0.0359466 + 0.953660i
\(345\) 2.81222e11 1.06872
\(346\) 1.68644e11 + 2.11473e11i 0.632600 + 0.793255i
\(347\) −1.10448e11 1.66473e10i −0.408954 0.0616400i −0.0586564 0.998278i \(-0.518682\pi\)
−0.350298 + 0.936638i \(0.613920\pi\)
\(348\) 2.36302e11 1.03531e12i 0.863695 3.78410i
\(349\) −1.36503e11 9.30665e10i −0.492526 0.335799i 0.291454 0.956585i \(-0.405861\pi\)
−0.783980 + 0.620786i \(0.786813\pi\)
\(350\) 3.09278e11 + 5.35685e11i 1.10165 + 1.90811i
\(351\) −8.68899e9 + 1.50498e10i −0.0305553 + 0.0529234i
\(352\) −1.43820e11 + 6.92601e10i −0.499318 + 0.240459i
\(353\) −4.11957e11 1.27072e11i −1.41210 0.435576i −0.507433 0.861691i \(-0.669405\pi\)
−0.904669 + 0.426116i \(0.859882\pi\)
\(354\) 3.46761e10 + 4.62720e11i 0.117359 + 1.56604i
\(355\) −3.44132e10 1.50774e11i −0.115000 0.503847i
\(356\) 2.77841e11 7.07926e11i 0.916792 2.33595i
\(357\) 2.80126e10 3.73802e11i 0.0912738 1.21796i
\(358\) −1.12240e11 + 1.69175e10i −0.361139 + 0.0544329i
\(359\) 9.56093e10 + 8.87125e10i 0.303791 + 0.281877i 0.817306 0.576204i \(-0.195466\pi\)
−0.513515 + 0.858081i \(0.671657\pi\)
\(360\) 3.81502e11 + 1.83722e11i 1.19711 + 0.576499i
\(361\) 2.31444e10 1.57796e10i 0.0717238 0.0489005i
\(362\) −3.33440e11 8.49591e11i −1.02054 2.60029i
\(363\) −3.16452e11 + 9.76125e10i −0.956595 + 0.295071i
\(364\) 3.35881e11 3.11652e11i 1.00283 0.930494i
\(365\) −4.09230e11 + 5.13158e11i −1.20684 + 1.51333i
\(366\) 6.98983e11 8.76497e11i 2.03611 2.55320i
\(367\) 4.60351e11 4.27143e11i 1.32462 1.22907i 0.370794 0.928715i \(-0.379086\pi\)
0.953828 0.300354i \(-0.0971048\pi\)
\(368\) −9.76782e9 + 3.01297e9i −0.0277640 + 0.00856407i
\(369\) −1.82466e11 4.64916e11i −0.512346 1.30544i
\(370\) −9.65228e11 + 6.58081e11i −2.67746 + 1.82546i
\(371\) 4.92460e9 + 2.37156e9i 0.0134955 + 0.00649908i
\(372\) 7.43312e11 + 6.89693e11i 2.01246 + 1.86729i
\(373\) 9.88266e10 1.48957e10i 0.264353 0.0398448i −0.0155284 0.999879i \(-0.504943\pi\)
0.279881 + 0.960035i \(0.409705\pi\)
\(374\) −1.83882e10 + 2.45374e11i −0.0485979 + 0.648494i
\(375\) 5.42705e10 1.38279e11i 0.141717 0.361090i
\(376\) 5.81733e10 + 2.54874e11i 0.150099 + 0.657628i
\(377\) 3.82398e10 + 5.10274e11i 0.0974943 + 1.30097i
\(378\) 5.76254e10 + 1.77751e10i 0.145178 + 0.0447815i
\(379\) 3.43106e11 1.65231e11i 0.854185 0.411354i 0.0450560 0.998984i \(-0.485653\pi\)
0.809129 + 0.587630i \(0.199939\pi\)
\(380\) 4.99169e11 8.64587e11i 1.22807 2.12707i
\(381\) −1.87261e11 3.24345e11i −0.455285 0.788578i
\(382\) −7.33652e11 5.00196e11i −1.76281 1.20186i
\(383\) 1.01729e11 4.45703e11i 0.241573 1.05840i −0.698012 0.716086i \(-0.745932\pi\)
0.939585 0.342316i \(-0.111211\pi\)
\(384\) −9.23625e11 1.39214e11i −2.16773 0.326733i
\(385\) 2.42933e11 + 3.04628e11i 0.563525 + 0.706638i
\(386\) 3.56390e11 0.817114
\(387\) −2.93754e11 + 2.93592e11i −0.665708 + 0.665341i
\(388\) 3.31584e11 0.742764
\(389\) 2.40412e10 + 3.01467e10i 0.0532332 + 0.0667524i 0.807735 0.589545i \(-0.200693\pi\)
−0.754502 + 0.656298i \(0.772122\pi\)
\(390\) −1.11822e12 1.68544e11i −2.44757 0.368912i
\(391\) −4.05941e10 + 1.77854e11i −0.0878349 + 0.384830i
\(392\) −1.20247e11 8.19831e10i −0.257210 0.175363i
\(393\) 3.74665e11 + 6.48939e11i 0.792277 + 1.37226i
\(394\) 5.48208e11 9.49524e11i 1.14607 1.98506i
\(395\) 1.02864e12 4.95367e11i 2.12606 1.02386i
\(396\) 3.71909e11 + 1.14719e11i 0.759992 + 0.234426i
\(397\) −4.80560e10 6.41263e11i −0.0970936 1.29562i −0.806673 0.590998i \(-0.798734\pi\)
0.709579 0.704626i \(-0.248885\pi\)
\(398\) 3.20673e11 + 1.40496e12i 0.640603 + 2.80667i
\(399\) −3.09379e11 + 7.88286e11i −0.611101 + 1.55706i
\(400\) −2.54738e9 + 3.39924e10i −0.00497535 + 0.0663914i
\(401\) 2.88697e11 4.35141e10i 0.557561 0.0840388i 0.135784 0.990738i \(-0.456645\pi\)
0.421777 + 0.906700i \(0.361407\pi\)
\(402\) −8.48403e11 7.87203e11i −1.62026 1.50338i
\(403\) −4.40220e11 2.11999e11i −0.831376 0.400369i
\(404\) −6.96103e11 + 4.74595e11i −1.30004 + 0.886354i
\(405\) −3.08806e11 7.86826e11i −0.570346 1.45322i
\(406\) 1.69681e12 5.23398e11i 3.09933 0.956015i
\(407\) −2.92915e11 + 2.71785e11i −0.529135 + 0.490966i
\(408\) −3.53222e11 + 4.42927e11i −0.631070 + 0.791337i
\(409\) −2.51554e11 + 3.15439e11i −0.444505 + 0.557391i −0.952724 0.303836i \(-0.901732\pi\)
0.508220 + 0.861228i \(0.330304\pi\)
\(410\) −1.48857e12 + 1.38119e12i −2.60160 + 2.41393i
\(411\) −5.91539e10 + 1.82465e10i −0.102257 + 0.0315422i
\(412\) 4.06989e10 + 1.03699e11i 0.0695897 + 0.177312i
\(413\) −3.93818e11 + 2.68500e11i −0.666070 + 0.454119i
\(414\) 4.23204e11 + 2.03804e11i 0.708024 + 0.340967i
\(415\) −5.79280e11 5.37494e11i −0.958677 0.889522i
\(416\) 4.70581e11 7.09286e10i 0.770396 0.116119i
\(417\) −1.25247e11 + 1.67130e12i −0.202841 + 2.70672i
\(418\) 2.03085e11 5.17453e11i 0.325376 0.829044i
\(419\) −1.52964e11 6.70180e11i −0.242452 1.06225i −0.938777 0.344526i \(-0.888040\pi\)
0.696324 0.717727i \(-0.254818\pi\)
\(420\) 1.80149e11 + 2.40392e12i 0.282494 + 3.76962i
\(421\) 7.39652e11 + 2.28153e11i 1.14751 + 0.353961i 0.809466 0.587167i \(-0.199757\pi\)
0.338049 + 0.941129i \(0.390233\pi\)
\(422\) −1.76407e12 + 8.49533e11i −2.70776 + 1.30399i
\(423\) −2.19021e11 + 3.79356e11i −0.332625 + 0.576123i
\(424\) −4.13040e9 7.15407e9i −0.00620649 0.0107500i
\(425\) 5.02645e11 + 3.42698e11i 0.747328 + 0.509520i
\(426\) 1.18551e11 5.19406e11i 0.174406 0.764124i
\(427\) 1.13871e12 + 1.71633e11i 1.65763 + 0.249848i
\(428\) −8.18402e9 1.02624e10i −0.0117888 0.0147827i
\(429\) −3.86800e11 −0.551352
\(430\) 1.54752e12 + 6.75686e11i 2.18288 + 0.953096i
\(431\) 6.10638e11 0.852386 0.426193 0.904632i \(-0.359855\pi\)
0.426193 + 0.904632i \(0.359855\pi\)
\(432\) 2.07204e9 + 2.59826e9i 0.00286234 + 0.00358926i
\(433\) 9.98358e11 + 1.50478e11i 1.36487 + 0.205721i 0.790292 0.612731i \(-0.209929\pi\)
0.574576 + 0.818451i \(0.305167\pi\)
\(434\) −3.77296e11 + 1.65304e12i −0.510479 + 2.23656i
\(435\) −2.22439e12 1.51656e12i −2.97858 2.03076i
\(436\) 6.86983e10 + 1.18989e11i 0.0910451 + 0.157695i
\(437\) 2.06062e11 3.56909e11i 0.270290 0.468157i
\(438\) −2.03718e12 + 9.81053e11i −2.64481 + 1.27368i
\(439\) −8.71005e11 2.68669e11i −1.11926 0.345245i −0.320711 0.947177i \(-0.603922\pi\)
−0.798548 + 0.601932i \(0.794398\pi\)
\(440\) −4.40062e10 5.87222e11i −0.0559728 0.746905i
\(441\) −5.42630e10 2.37742e11i −0.0683172 0.299317i
\(442\) 2.68007e11 6.82869e11i 0.333999 0.851016i
\(443\) 5.47656e9 7.30796e10i 0.00675602 0.0901529i −0.992806 0.119730i \(-0.961797\pi\)
0.999562 + 0.0295773i \(0.00941611\pi\)
\(444\) −2.44460e12 + 3.68464e11i −2.98527 + 0.449958i
\(445\) −1.41332e12 1.31137e12i −1.70852 1.58528i
\(446\) 5.79981e11 + 2.79304e11i 0.694076 + 0.334249i
\(447\) 6.52358e11 4.44770e11i 0.772862 0.526929i
\(448\) −5.83239e11 1.48607e12i −0.684062 1.74296i
\(449\) −3.09618e11 + 9.55046e10i −0.359516 + 0.110896i −0.469251 0.883065i \(-0.655476\pi\)
0.109735 + 0.993961i \(0.465000\pi\)
\(450\) 1.14826e12 1.06543e12i 1.32003 1.22481i
\(451\) −4.33057e11 + 5.43036e11i −0.492891 + 0.618065i
\(452\) 1.25426e12 1.57279e12i 1.41340 1.77235i
\(453\) −5.99601e11 + 5.56348e11i −0.668991 + 0.620733i
\(454\) 1.60741e11 4.95819e10i 0.177572 0.0547737i
\(455\) −4.24383e11 1.08131e12i −0.464202 1.18277i
\(456\) 1.05745e12 7.20957e11i 1.14530 0.780850i
\(457\) −6.72454e11 3.23837e11i −0.721173 0.347299i 0.0370326 0.999314i \(-0.488209\pi\)
−0.758206 + 0.652015i \(0.773924\pi\)
\(458\) 8.48541e11 + 7.87331e11i 0.901111 + 0.836109i
\(459\) 5.86474e10 8.83967e9i 0.0616725 0.00929564i
\(460\) 8.76729e10 1.16991e12i 0.0912967 1.21827i
\(461\) −3.08849e11 + 7.86934e11i −0.318487 + 0.811491i 0.678549 + 0.734555i \(0.262609\pi\)
−0.997036 + 0.0769364i \(0.975486\pi\)
\(462\) 2.98682e11 + 1.30861e12i 0.305014 + 1.33635i
\(463\) 4.99273e10 + 6.66233e11i 0.0504921 + 0.673770i 0.963821 + 0.266549i \(0.0858833\pi\)
−0.913329 + 0.407222i \(0.866498\pi\)
\(464\) 9.35090e10 + 2.88437e10i 0.0936531 + 0.0288882i
\(465\) 2.31609e12 1.11537e12i 2.29730 1.10632i
\(466\) 8.24063e11 1.42732e12i 0.809513 1.40212i
\(467\) 1.45731e11 + 2.52414e11i 0.141784 + 0.245577i 0.928168 0.372160i \(-0.121383\pi\)
−0.786385 + 0.617737i \(0.788050\pi\)
\(468\) −9.58697e11 6.53628e11i −0.923794 0.629832i
\(469\) 2.64541e11 1.15903e12i 0.252473 1.10616i
\(470\) 1.76112e12 + 2.65445e11i 1.66474 + 0.250920i
\(471\) 1.51520e12 + 1.90000e12i 1.41865 + 1.77893i
\(472\) 7.20362e11 0.668055
\(473\) 5.57856e11 + 1.49642e11i 0.512444 + 0.137460i
\(474\) 3.93309e12 3.57875
\(475\) −8.56881e11 1.07449e12i −0.772324 0.968463i
\(476\) −1.54632e12 2.33071e11i −1.38060 0.208092i
\(477\) 3.08005e9 1.34946e10i 0.00272411 0.0119351i
\(478\) −1.49190e12 1.01716e12i −1.30712 0.891179i
\(479\) −8.32420e10 1.44179e11i −0.0722491 0.125139i 0.827638 0.561263i \(-0.189684\pi\)
−0.899887 + 0.436124i \(0.856351\pi\)
\(480\) −1.25189e12 + 2.16834e12i −1.07642 + 1.86441i
\(481\) 1.07329e12 5.16871e11i 0.914252 0.440281i
\(482\) 1.71479e12 + 5.28944e11i 1.44710 + 0.446373i
\(483\) 7.43670e10 + 9.92359e11i 0.0621754 + 0.829672i
\(484\) 3.07423e11 + 1.34691e12i 0.254643 + 1.11566i
\(485\) 3.07115e11 7.82516e11i 0.252036 0.642178i
\(486\) 2.05477e11 2.74190e12i 0.167071 2.22941i
\(487\) 4.11258e11 6.19872e10i 0.331310 0.0499369i 0.0187190 0.999825i \(-0.494041\pi\)
0.312591 + 0.949888i \(0.398803\pi\)
\(488\) −1.27582e12 1.18378e12i −1.01835 0.944895i
\(489\) 4.95651e11 + 2.38693e11i 0.392000 + 0.188777i
\(490\) −8.19196e11 + 5.58519e11i −0.641957 + 0.437679i
\(491\) 7.75184e10 + 1.97514e11i 0.0601919 + 0.153367i 0.957806 0.287416i \(-0.0927962\pi\)
−0.897614 + 0.440783i \(0.854701\pi\)
\(492\) −4.10637e12 + 1.26665e12i −3.15948 + 0.974570i
\(493\) 1.28021e12 1.18786e12i 0.976048 0.905640i
\(494\) −1.03326e12 + 1.29567e12i −0.780621 + 0.978868i
\(495\) 6.15193e11 7.71428e11i 0.460562 0.577527i
\(496\) −6.84959e10 + 6.35549e10i −0.0508156 + 0.0471500i
\(497\) 5.22942e11 1.61306e11i 0.384458 0.118590i
\(498\) −9.94565e11 2.53411e12i −0.724605 1.84626i
\(499\) −1.37043e12 + 9.34345e11i −0.989476 + 0.674613i −0.945907 0.324437i \(-0.894825\pi\)
−0.0435686 + 0.999050i \(0.513873\pi\)
\(500\) −5.58336e11 2.68880e11i −0.399513 0.192395i
\(501\) 1.58404e12 + 1.46978e12i 1.12330 + 1.04227i
\(502\) 1.00481e12 1.51450e11i 0.706182 0.106440i
\(503\) 8.62447e10 1.15086e12i 0.0600726 0.801613i −0.883074 0.469235i \(-0.844530\pi\)
0.943146 0.332378i \(-0.107851\pi\)
\(504\) −5.47420e11 + 1.39480e12i −0.377906 + 0.962888i
\(505\) 4.75278e11 + 2.08233e12i 0.325189 + 1.42475i
\(506\) −4.88166e10 6.51412e11i −0.0331047 0.441752i
\(507\) −8.78842e11 2.71087e11i −0.590711 0.182210i
\(508\) −1.40769e12 + 6.77907e11i −0.937821 + 0.451631i
\(509\) −4.04700e11 + 7.00962e11i −0.267241 + 0.462876i −0.968148 0.250377i \(-0.919445\pi\)
0.700907 + 0.713253i \(0.252779\pi\)
\(510\) 1.92975e12 + 3.34243e12i 1.26310 + 2.18775i
\(511\) −1.91902e12 1.30837e12i −1.24505 0.848858i
\(512\) 3.87534e10 1.69790e11i 0.0249227 0.109194i
\(513\) −1.32490e11 1.99697e10i −0.0844609 0.0127304i
\(514\) 3.88352e10 + 4.86979e10i 0.0245410 + 0.0307734i
\(515\) 2.82418e11 0.176913
\(516\) 2.33018e12 + 2.70922e12i 1.44699 + 1.68237i
\(517\) 6.09184e11 0.375008
\(518\) −2.57744e12 3.23201e12i −1.57292 1.97237i
\(519\) 1.43494e12 + 2.16283e11i 0.868122 + 0.130848i
\(520\) −3.90654e11 + 1.71156e12i −0.234302 + 1.02655i
\(521\) −9.13641e11 6.22910e11i −0.543258 0.370387i 0.260379 0.965506i \(-0.416152\pi\)
−0.803637 + 0.595119i \(0.797105\pi\)
\(522\) −2.24836e12 3.89427e12i −1.32540 2.29567i
\(523\) −1.04666e12 + 1.81287e12i −0.611713 + 1.05952i 0.379239 + 0.925299i \(0.376186\pi\)
−0.990952 + 0.134219i \(0.957148\pi\)
\(524\) 2.81646e12 1.35634e12i 1.63197 0.785917i
\(525\) 3.17112e12 + 9.78161e11i 1.82178 + 0.561945i
\(526\) 7.64766e10 + 1.02051e12i 0.0435605 + 0.581274i
\(527\) 3.71072e11 + 1.62577e12i 0.209561 + 0.918148i
\(528\) −2.70243e10 + 6.88569e10i −0.0151322 + 0.0385562i
\(529\) −9.84081e10 + 1.31317e12i −0.0546362 + 0.729069i
\(530\) −5.56490e10 + 8.38774e9i −0.0306349 + 0.00461747i
\(531\) 8.84809e11 + 8.20983e11i 0.482974 + 0.448135i
\(532\) 3.18290e12 + 1.53281e12i 1.72275 + 0.829630i
\(533\) 1.71090e12 1.16647e12i 0.918229 0.626038i
\(534\) −2.42653e12 6.18269e12i −1.29137 3.29035i
\(535\) −3.17987e10 + 9.80861e9i −0.0167810 + 0.00517625i
\(536\) −1.31710e12 + 1.22209e12i −0.689250 + 0.639531i
\(537\) −3.79686e11 + 4.76112e11i −0.197034 + 0.247073i
\(538\) −3.26107e12 + 4.08926e12i −1.67819 + 2.10438i
\(539\) −2.48599e11 + 2.30666e11i −0.126867 + 0.117716i
\(540\) −3.64476e11 + 1.12426e11i −0.184458 + 0.0568977i
\(541\) 3.99554e11 + 1.01805e12i 0.200534 + 0.510952i 0.995397 0.0958367i \(-0.0305526\pi\)
−0.794863 + 0.606789i \(0.792457\pi\)
\(542\) 3.36451e12 2.29388e12i 1.67465 1.14176i
\(543\) −4.41163e12 2.12453e12i −2.17771 1.04873i
\(544\) −1.19062e12 1.10474e12i −0.582880 0.540834i
\(545\) 3.44435e11 5.19152e10i 0.167233 0.0252064i
\(546\) 2.99044e11 3.99047e12i 0.144002 1.92157i
\(547\) −1.23046e11 + 3.13517e11i −0.0587660 + 0.149733i −0.957241 0.289291i \(-0.906581\pi\)
0.898475 + 0.439024i \(0.144676\pi\)
\(548\) 5.74660e10 + 2.51775e11i 0.0272206 + 0.119261i
\(549\) −2.17928e11 2.90805e12i −0.102385 1.36624i
\(550\) −2.08161e12 6.42092e11i −0.969991 0.299203i
\(551\) −3.55461e12 + 1.71181e12i −1.64290 + 0.791178i
\(552\) 7.51997e11 1.30250e12i 0.344739 0.597105i
\(553\) 2.02004e12 + 3.49880e12i 0.918536 + 1.59095i
\(554\) 9.99498e11 + 6.81446e11i 0.450804 + 0.307353i
\(555\) −1.39465e12 + 6.11036e12i −0.623946 + 2.73368i
\(556\) 6.91376e12 + 1.04208e12i 3.06816 + 0.462450i
\(557\) 7.54623e11 + 9.46268e11i 0.332186 + 0.416549i 0.919673 0.392685i \(-0.128454\pi\)
−0.587486 + 0.809234i \(0.699882\pi\)
\(558\) 4.29374e12 1.87492
\(559\) −1.45774e12 9.16518e11i −0.631431 0.396997i
\(560\) −2.22141e11 −0.0954515
\(561\) 8.23083e11 + 1.03211e12i 0.350842 + 0.439941i
\(562\) 3.08879e12 + 4.65560e11i 1.30609 + 0.196862i
\(563\) −7.69874e11 + 3.37304e12i −0.322948 + 1.41493i 0.509332 + 0.860570i \(0.329893\pi\)
−0.832280 + 0.554356i \(0.812965\pi\)
\(564\) 3.11410e12 + 2.12316e12i 1.29592 + 0.883540i
\(565\) −2.54998e12 4.41670e12i −1.05274 1.82339i
\(566\) −3.09245e11 + 5.35628e11i −0.126657 + 0.219376i
\(567\) 2.69484e12 1.29777e12i 1.09499 0.527319i
\(568\) −7.90341e11 2.43788e11i −0.318601 0.0982754i
\(569\) −1.29965e11 1.73426e12i −0.0519782 0.693601i −0.960946 0.276735i \(-0.910748\pi\)
0.908968 0.416866i \(-0.136872\pi\)
\(570\) −1.94016e12 8.50041e12i −0.769842 3.37290i
\(571\) −4.84988e11 + 1.23573e12i −0.190927 + 0.486475i −0.993997 0.109411i \(-0.965104\pi\)
0.803069 + 0.595886i \(0.203199\pi\)
\(572\) −1.20588e11 + 1.60913e12i −0.0471000 + 0.628506i
\(573\) −4.71061e12 + 7.10010e11i −1.82550 + 0.275149i
\(574\) −5.26749e12 4.88751e12i −2.02535 1.87925i
\(575\) −1.45510e12 7.00739e11i −0.555121 0.267332i
\(576\) −3.34025e12 + 2.27734e12i −1.26438 + 0.862040i
\(577\) −1.09066e12 2.77897e12i −0.409638 1.04374i −0.975648 0.219342i \(-0.929609\pi\)
0.566010 0.824398i \(-0.308486\pi\)
\(578\) 1.73628e12 5.35573e11i 0.647061 0.199592i
\(579\) 1.40162e12 1.30051e12i 0.518295 0.480907i
\(580\) −7.00253e12 + 8.78090e12i −2.56938 + 3.22191i
\(581\) 1.74349e12 2.18627e12i 0.634785 0.795995i
\(582\) 2.12284e12 1.96971e12i 0.766945 0.711621i
\(583\) −1.83942e10 + 5.67387e9i −0.00659437 + 0.00203409i
\(584\) 1.28243e12 + 3.26758e12i 0.456222 + 1.16243i
\(585\) −2.43047e12 + 1.65707e12i −0.858003 + 0.584976i
\(586\) −2.12951e12 1.02552e12i −0.746002 0.359256i
\(587\) 5.34578e11 + 4.96016e11i 0.185840 + 0.172435i 0.767606 0.640922i \(-0.221448\pi\)
−0.581766 + 0.813356i \(0.697638\pi\)
\(588\) −2.07475e12 + 3.12718e11i −0.715760 + 0.107883i
\(589\) 2.81526e11 3.75671e12i 0.0963829 1.28614i
\(590\) 1.79293e12 4.56830e12i 0.609156 1.55210i
\(591\) −1.30893e12 5.73479e12i −0.441339 1.93363i
\(592\) −1.70245e10 2.27176e11i −0.00569674 0.0760178i
\(593\) 3.76404e12 + 1.16105e12i 1.24999 + 0.385572i 0.847964 0.530054i \(-0.177828\pi\)
0.402030 + 0.915626i \(0.368305\pi\)
\(594\) −1.91345e11 + 9.21468e10i −0.0630634 + 0.0303698i
\(595\) −1.98224e12 + 3.43335e12i −0.648382 + 1.12303i
\(596\) −1.64691e12 2.85254e12i −0.534642 0.926027i
\(597\) 6.38804e12 + 4.35529e12i 2.05818 + 1.40324i
\(598\) −4.33356e11 + 1.89866e12i −0.138577 + 0.607144i
\(599\) −3.83875e12 5.78598e11i −1.21834 0.183635i −0.491769 0.870726i \(-0.663650\pi\)
−0.726572 + 0.687090i \(0.758888\pi\)
\(600\) −3.12709e12 3.92124e12i −0.985052 1.23522i
\(601\) 3.11017e12 0.972408 0.486204 0.873845i \(-0.338381\pi\)
0.486204 + 0.873845i \(0.338381\pi\)
\(602\) −1.97509e12 + 5.63949e12i −0.612918 + 1.75007i
\(603\) −3.01056e12 −0.927298
\(604\) 2.12754e12 + 2.66785e12i 0.650446 + 0.815634i
\(605\) 3.46334e12 + 5.22015e11i 1.05099 + 0.158411i
\(606\) −1.63730e12 + 7.17348e12i −0.493175 + 2.16074i
\(607\) −1.70100e12 1.15972e12i −0.508575 0.346741i 0.281690 0.959505i \(-0.409105\pi\)
−0.790265 + 0.612765i \(0.790057\pi\)
\(608\) 1.83462e12 + 3.17765e12i 0.544476 + 0.943061i
\(609\) 4.76333e12 8.25033e12i 1.40324 2.43049i
\(610\) −1.06826e13 + 5.14446e12i −3.12386 + 1.50437i
\(611\) −1.73546e12 5.35318e11i −0.503766 0.155391i
\(612\) 2.95937e11 + 3.94900e12i 0.0852742 + 1.13790i
\(613\) −5.18892e10 2.27342e11i −0.0148424 0.0650289i 0.966964 0.254912i \(-0.0820464\pi\)
−0.981807 + 0.189883i \(0.939189\pi\)
\(614\) 1.71999e11 4.38247e11i 0.0488392 0.124440i
\(615\) −8.14139e11 + 1.08639e13i −0.229488 + 3.06231i
\(616\) 2.06052e12 3.10573e11i 0.576584 0.0869061i
\(617\) 1.66574e12 + 1.54558e12i 0.462725 + 0.429346i 0.876770 0.480911i \(-0.159694\pi\)
−0.414045 + 0.910257i \(0.635884\pi\)
\(618\) 8.76564e11 + 4.22131e11i 0.241733 + 0.116412i
\(619\) −3.70498e12 + 2.52601e12i −1.01433 + 0.691556i −0.951873 0.306492i \(-0.900845\pi\)
−0.0624529 + 0.998048i \(0.519892\pi\)
\(620\) −3.91800e12 9.98290e12i −1.06488 2.71328i
\(621\) −1.50459e11 + 4.64104e10i −0.0405981 + 0.0125229i
\(622\) 2.19399e12 2.03573e12i 0.587731 0.545334i
\(623\) 4.25374e12 5.33402e12i 1.13129 1.41860i
\(624\) 1.37495e11 1.72414e11i 0.0363043 0.0455241i
\(625\) 2.17101e12 2.01440e12i 0.569116 0.528063i
\(626\) 9.04599e12 2.79032e12i 2.35435 0.726222i
\(627\) −1.08955e12 2.77614e12i −0.281543 0.717359i
\(628\) 8.37659e12 5.71106e12i 2.14906 1.46521i
\(629\) −3.66308e12 1.76405e12i −0.933080 0.449347i
\(630\) 7.48290e12 + 6.94312e12i 1.89251 + 1.75599i
\(631\) −2.89647e12 + 4.36572e11i −0.727338 + 0.109629i −0.502266 0.864713i \(-0.667500\pi\)
−0.225073 + 0.974342i \(0.572262\pi\)
\(632\) 4.56295e11 6.08884e12i 0.113768 1.51813i
\(633\) −3.83774e12 + 9.77840e12i −0.950077 + 2.42076i
\(634\) −2.19225e12 9.60488e12i −0.538876 2.36097i
\(635\) 2.96007e11 + 3.94993e12i 0.0722469 + 0.964069i
\(636\) −1.13805e11 3.51041e10i −0.0275806 0.00850749i
\(637\) 9.10913e11 4.38673e11i 0.219205 0.105563i
\(638\) −3.12678e12 + 5.41575e12i −0.747144 + 1.29409i
\(639\) −6.92922e11 1.20018e12i −0.164411 0.284768i
\(640\) 8.16223e12 + 5.56491e12i 1.92309 + 1.31114i
\(641\) −6.97866e11 + 3.05755e12i −0.163272 + 0.715340i 0.825313 + 0.564675i \(0.190999\pi\)
−0.988585 + 0.150665i \(0.951859\pi\)
\(642\) −1.13357e11 1.70858e10i −0.0263355 0.00396943i
\(643\) 1.95555e12 + 2.45218e12i 0.451148 + 0.565722i 0.954443 0.298393i \(-0.0964505\pi\)
−0.503295 + 0.864115i \(0.667879\pi\)
\(644\) 4.15151e12 0.951085
\(645\) 8.55181e12 2.98976e12i 1.94554 0.680171i
\(646\) 5.65601e12 1.27780
\(647\) −3.90435e12 4.89590e12i −0.875951 1.09841i −0.994425 0.105451i \(-0.966372\pi\)
0.118474 0.992957i \(-0.462200\pi\)
\(648\) −4.46999e12 6.73743e11i −0.995908 0.150109i
\(649\) 3.73523e11 1.63651e12i 0.0826449 0.362091i
\(650\) 5.36592e12 + 3.65842e12i 1.17905 + 0.803866i
\(651\) 4.54832e12 + 7.87792e12i 0.992514 + 1.71908i
\(652\) 1.14751e12 1.98755e12i 0.248681 0.430728i
\(653\) −4.56127e12 + 2.19659e12i −0.981695 + 0.472759i −0.854688 0.519143i \(-0.826251\pi\)
−0.127007 + 0.991902i \(0.540537\pi\)
\(654\) 1.14665e12 + 3.53693e11i 0.245092 + 0.0756009i
\(655\) −5.92241e11 7.90291e12i −0.125722 1.67765i
\(656\) −8.81168e10 3.86065e11i −0.0185777 0.0813941i
\(657\) −2.14881e12 + 5.47507e12i −0.449939 + 1.14642i
\(658\) −4.70974e11 + 6.28471e12i −0.0979446 + 1.30698i
\(659\) 4.49338e12 6.77267e11i 0.928086 0.139887i 0.332432 0.943127i \(-0.392131\pi\)
0.595655 + 0.803241i \(0.296893\pi\)
\(660\) −6.22340e12 5.77447e12i −1.27667 1.18458i
\(661\) −7.55022e12 3.63599e12i −1.53834 0.740826i −0.543230 0.839584i \(-0.682799\pi\)
−0.995112 + 0.0987576i \(0.968513\pi\)
\(662\) 4.41079e12 3.00723e12i 0.892597 0.608562i
\(663\) −1.43786e12 3.66360e12i −0.289004 0.736371i
\(664\) −4.03845e12 + 1.24570e12i −0.806229 + 0.248689i
\(665\) 6.56534e12 6.09174e12i 1.30185 1.20794i
\(666\) −6.52701e12 + 8.18462e12i −1.28552 + 1.61200i
\(667\) −2.89071e12 + 3.62483e12i −0.565507 + 0.709123i
\(668\) 6.60826e12 6.13157e12i 1.28408 1.19146i
\(669\) 3.30018e12 1.01797e12i 0.636972 0.196480i
\(670\) 4.47193e12 + 1.13943e13i 0.857351 + 2.18450i
\(671\) −3.35085e12 + 2.28457e12i −0.638121 + 0.435064i
\(672\) −7.98257e12 3.84420e12i −1.51001 0.727184i
\(673\) −4.58863e12 4.25762e12i −0.862214 0.800017i 0.119009 0.992893i \(-0.462028\pi\)
−0.981223 + 0.192876i \(0.938219\pi\)
\(674\) −8.37043e12 + 1.26164e12i −1.56235 + 0.235486i
\(675\) −3.92386e10 + 5.23603e11i −0.00727523 + 0.0970812i
\(676\) −1.40174e12 + 3.57157e12i −0.258170 + 0.657807i
\(677\) 1.86458e12 + 8.16926e12i 0.341140 + 1.49463i 0.796672 + 0.604411i \(0.206592\pi\)
−0.455533 + 0.890219i \(0.650551\pi\)
\(678\) −1.31294e12 1.75199e13i −0.238622 3.18419i
\(679\) 2.84251e12 + 8.76798e11i 0.513201 + 0.158302i
\(680\) 5.39832e12 2.59969e12i 0.968207 0.466264i
\(681\) 4.51234e11 7.81560e11i 0.0803970 0.139252i
\(682\) −2.98564e12 5.17129e12i −0.528455 0.915312i
\(683\) −2.29941e12 1.56771e12i −0.404318 0.275659i 0.344039 0.938955i \(-0.388205\pi\)
−0.748357 + 0.663296i \(0.769157\pi\)
\(684\) 1.99072e12 8.72190e12i 0.347742 1.52356i
\(685\) 6.47397e11 + 9.75794e10i 0.112347 + 0.0169337i
\(686\) 4.51856e12 + 5.66609e12i 0.779007 + 0.976844i
\(687\) 6.21024e12 1.06366
\(688\) −2.65002e11 + 1.95468e11i −0.0450922 + 0.0332604i
\(689\) 5.73879e10 0.00970139
\(690\) −6.38835e12 8.01074e12i −1.07292 1.34540i
\(691\) −7.93879e12 1.19658e12i −1.32466 0.199660i −0.551659 0.834070i \(-0.686005\pi\)
−0.772997 + 0.634410i \(0.781243\pi\)
\(692\) 1.34711e12 5.90208e12i 0.223319 0.978426i
\(693\) 2.88485e12 + 1.96686e12i 0.475142 + 0.323947i
\(694\) 2.03477e12 + 3.52433e12i 0.332965 + 0.576712i
\(695\) 8.86280e12 1.53508e13i 1.44092 2.49574i
\(696\) −1.29721e13 + 6.24706e12i −2.09542 + 1.00910i
\(697\) −6.75320e12 2.08309e12i −1.08383 0.334318i
\(698\) 4.49825e11 + 6.00250e12i 0.0717289 + 0.957156i
\(699\) −1.96757e12 8.62051e12i −0.311734 1.36579i
\(700\) 5.05788e12 1.28873e13i 0.796209 2.02871i
\(701\) −3.19333e11 + 4.26120e12i −0.0499474 + 0.666501i 0.914898 + 0.403684i \(0.132271\pi\)
−0.964846 + 0.262817i \(0.915348\pi\)
\(702\) 6.26082e11 9.43667e10i 0.0973003 0.0146657i
\(703\) 6.73297e12 + 6.24729e12i 1.03970 + 0.964700i
\(704\) 5.06542e12 + 2.43938e12i 0.777210 + 0.374284i
\(705\) 7.89481e12 5.38259e12i 1.20362 0.820616i
\(706\) 5.73848e12 + 1.46214e13i 0.869312 + 2.21497i
\(707\) −7.22231e12 + 2.22779e12i −1.08715 + 0.335341i
\(708\) 7.61307e12 7.06390e12i 1.13870 1.05656i
\(709\) −2.76492e12 + 3.46710e12i −0.410937 + 0.515298i −0.943626 0.331012i \(-0.892610\pi\)
0.532690 + 0.846311i \(0.321181\pi\)
\(710\) −3.51312e12 + 4.40532e12i −0.518837 + 0.650601i
\(711\) 7.49979e12 6.95878e12i 1.10062 1.02122i
\(712\) −9.85296e12 + 3.03924e12i −1.43684 + 0.443205i
\(713\) −1.61739e12 4.12103e12i −0.234375 0.597177i
\(714\) −1.12843e13 + 7.69348e12i −1.62492 + 1.10785i
\(715\) 3.68575e12 + 1.77497e12i 0.527411 + 0.253988i
\(716\) 1.86231e12 + 1.72797e12i 0.264815 + 0.245712i
\(717\) −9.57915e12 + 1.44382e12i −1.35360 + 0.204023i
\(718\) 3.55117e11 4.73870e12i 0.0498668 0.665426i
\(719\) 7.56554e11 1.92767e12i 0.105575 0.269000i −0.868318 0.496007i \(-0.834799\pi\)
0.973893 + 0.227007i \(0.0728941\pi\)
\(720\) 1.25177e11 + 5.48437e11i 0.0173592 + 0.0760555i
\(721\) 7.46834e10 + 9.96581e11i 0.0102924 + 0.137342i
\(722\) −9.75246e11 3.00824e11i −0.133566 0.0411997i
\(723\) 8.67416e12 4.17726e12i 1.18061 0.568550i
\(724\) −1.02136e13 + 1.76905e13i −1.38152 + 2.39286i
\(725\) 7.73052e12 + 1.33897e13i 1.03917 + 1.79990i
\(726\) 9.96919e12 + 6.79688e12i 1.33182 + 0.908019i
\(727\) 2.66269e12 1.16660e13i 0.353522 1.54888i −0.415461 0.909611i \(-0.636380\pi\)
0.768983 0.639269i \(-0.220763\pi\)
\(728\) −6.14297e12 9.25904e11i −0.810564 0.122173i
\(729\) −4.17982e12 5.24133e12i −0.548130 0.687334i
\(730\) 2.39138e13 3.11670
\(731\) 6.56382e11 + 5.84002e12i 0.0850215 + 0.756460i
\(732\) −2.50916e13 −3.23019
\(733\) 1.01615e12 + 1.27421e12i 0.130014 + 0.163032i 0.842577 0.538576i \(-0.181037\pi\)
−0.712564 + 0.701608i \(0.752466\pi\)
\(734\) −2.26249e13 3.41015e12i −2.87710 0.433652i
\(735\) −1.18365e12 + 5.18591e12i −0.149600 + 0.655438i
\(736\) 3.56265e12 + 2.42897e12i 0.447530 + 0.305121i
\(737\) 2.09339e12 + 3.62585e12i 0.261364 + 0.452696i
\(738\) −9.09838e12 + 1.57589e13i −1.12904 + 1.95556i
\(739\) −6.31602e12 + 3.04164e12i −0.779011 + 0.375152i −0.780748 0.624847i \(-0.785162\pi\)
0.00173662 + 0.999998i \(0.499447\pi\)
\(740\) 2.49850e13 + 7.70684e12i 3.06292 + 0.944787i
\(741\) 6.64428e11 + 8.86617e12i 0.0809591 + 1.08032i
\(742\) −4.43141e10 1.94153e11i −0.00536691 0.0235140i
\(743\) −9.04873e11 + 2.30558e12i −0.108928 + 0.277543i −0.974936 0.222487i \(-0.928582\pi\)
0.866008 + 0.500030i \(0.166678\pi\)
\(744\) 1.02740e12 1.37096e13i 0.122931 1.64039i
\(745\) −8.25718e12 + 1.24457e12i −0.982039 + 0.148019i
\(746\) −2.66929e12 2.47674e12i −0.315553 0.292790i
\(747\) −6.38006e12 3.07247e12i −0.749690 0.361032i
\(748\) 4.55031e12 3.10235e12i 0.531476 0.362354i
\(749\) −4.30210e10 1.09616e11i −0.00499473 0.0127264i
\(750\) −5.17177e12 +