Properties

Label 43.10.g.a.9.12
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 9.12
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-9.77399 - 12.2562i) q^{2} +(-129.957 - 19.5879i) q^{3} +(59.2473 - 259.579i) q^{4} +(828.781 + 565.053i) q^{5} +(1030.13 + 1784.23i) q^{6} +(3211.01 - 5561.63i) q^{7} +(-10991.9 + 5293.44i) q^{8} +(-2303.38 - 710.499i) q^{9} +O(q^{10})\) \(q+(-9.77399 - 12.2562i) q^{2} +(-129.957 - 19.5879i) q^{3} +(59.2473 - 259.579i) q^{4} +(828.781 + 565.053i) q^{5} +(1030.13 + 1784.23i) q^{6} +(3211.01 - 5561.63i) q^{7} +(-10991.9 + 5293.44i) q^{8} +(-2303.38 - 710.499i) q^{9} +(-1175.09 - 15680.5i) q^{10} +(19692.6 + 86279.1i) q^{11} +(-12784.2 + 32573.6i) q^{12} +(-10352.4 + 138143. i) q^{13} +(-99548.7 + 15004.6i) q^{14} +(-96637.8 - 89666.8i) q^{15} +(49490.0 + 23833.1i) q^{16} +(433902. - 295829. i) q^{17} +(13805.2 + 35175.1i) q^{18} +(25458.7 - 7852.96i) q^{19} +(195779. - 181657. i) q^{20} +(-526234. + 659876. i) q^{21} +(864977. - 1.08465e6i) q^{22} +(-462657. + 429283. i) q^{23} +(1.53217e6 - 472611. i) q^{24} +(-345964. - 881502. i) q^{25} +(1.79429e6 - 1.22333e6i) q^{26} +(2.61608e6 + 1.25984e6i) q^{27} +(-1.25344e6 - 1.16302e6i) q^{28} +(1.71103e6 - 257896. i) q^{29} +(-154437. + 2.06081e6i) q^{30} +(2.23489e6 - 5.69442e6i) q^{31} +(1.19836e6 + 5.25035e6i) q^{32} +(-869174. - 1.15983e7i) q^{33} +(-7.86669e6 - 2.42655e6i) q^{34} +(5.80384e6 - 2.79498e6i) q^{35} +(-320900. + 555815. i) q^{36} +(-2.27668e6 - 3.94333e6i) q^{37} +(-345080. - 235272. i) q^{38} +(4.05129e6 - 1.77499e7i) q^{39} +(-1.21010e7 - 1.82393e6i) q^{40} +(2.08764e7 + 2.61782e7i) q^{41} +1.32310e7 q^{42} +(1.35359e7 - 1.78710e7i) q^{43} +2.35630e7 q^{44} +(-1.50753e6 - 1.89038e6i) q^{45} +(9.78338e6 + 1.47461e6i) q^{46} +(-1.94419e6 + 8.51804e6i) q^{47} +(-5.96474e6 - 4.06669e6i) q^{48} +(-444333. - 769608. i) q^{49} +(-7.42241e6 + 1.28560e7i) q^{50} +(-6.21833e7 + 2.99459e7i) q^{51} +(3.52457e7 + 1.08719e7i) q^{52} +(-5.89953e6 - 7.87238e7i) q^{53} +(-1.01287e7 - 4.43769e7i) q^{54} +(-3.24314e7 + 8.26339e7i) q^{55} +(-5.85506e6 + 7.81303e7i) q^{56} +(-3.46236e6 + 521866. i) q^{57} +(-1.98844e7 - 1.84501e7i) q^{58} +(5.97936e7 + 2.87951e7i) q^{59} +(-2.90012e7 + 1.97727e7i) q^{60} +(2.34165e7 + 5.96642e7i) q^{61} +(-9.16357e7 + 2.82659e7i) q^{62} +(-1.13477e7 + 1.05291e7i) q^{63} +(7.01716e7 - 8.79924e7i) q^{64} +(-8.66380e7 + 1.08641e8i) q^{65} +(-1.33656e8 + 1.24015e8i) q^{66} +(-6.19886e7 + 1.91209e7i) q^{67} +(-5.10837e7 - 1.30159e8i) q^{68} +(6.85343e7 - 4.67259e7i) q^{69} +(-9.09825e7 - 4.38148e7i) q^{70} +(-2.50921e8 - 2.32821e8i) q^{71} +(2.90796e7 - 4.38304e6i) q^{72} +(-1.67633e7 + 2.23691e8i) q^{73} +(-2.60779e7 + 6.64455e7i) q^{74} +(2.76937e7 + 1.21334e8i) q^{75} +(-530109. - 7.07381e6i) q^{76} +(5.43085e8 + 1.67520e8i) q^{77} +(-2.57143e8 + 1.23834e8i) q^{78} +(1.20500e8 - 2.08712e8i) q^{79} +(2.75494e7 + 4.77170e7i) q^{80} +(-2.76100e8 - 1.88242e8i) q^{81} +(1.16799e8 - 5.11731e8i) q^{82} +(6.49125e8 + 9.78399e7i) q^{83} +(1.40112e8 + 1.75695e8i) q^{84} +5.26769e8 q^{85} +(-3.51330e8 + 8.77220e6i) q^{86} -2.27412e8 q^{87} +(-6.73173e8 - 8.44132e8i) q^{88} +(-5.77285e8 - 8.70117e7i) q^{89} +(-8.43431e6 + 3.69531e7i) q^{90} +(7.35058e8 + 5.01154e8i) q^{91} +(8.40218e7 + 1.45530e8i) q^{92} +(-4.01982e8 + 6.96253e8i) q^{93} +(1.23401e8 - 5.94269e7i) q^{94} +(2.55370e7 + 7.87712e6i) q^{95} +(-5.28919e7 - 7.05793e8i) q^{96} +(2.59600e8 + 1.13738e9i) q^{97} +(-5.08955e6 + 1.29680e7i) q^{98} +(1.59415e7 - 2.12725e8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −9.77399 12.2562i −0.431953 0.541652i 0.517449 0.855714i \(-0.326882\pi\)
−0.949403 + 0.314062i \(0.898310\pi\)
\(3\) −129.957 19.5879i −0.926306 0.139618i −0.331470 0.943466i \(-0.607545\pi\)
−0.594835 + 0.803848i \(0.702783\pi\)
\(4\) 59.2473 259.579i 0.115717 0.506991i
\(5\) 828.781 + 565.053i 0.593027 + 0.404319i 0.822309 0.569041i \(-0.192685\pi\)
−0.229282 + 0.973360i \(0.573638\pi\)
\(6\) 1030.13 + 1784.23i 0.324496 + 0.562044i
\(7\) 3211.01 5561.63i 0.505476 0.875509i −0.494504 0.869175i \(-0.664650\pi\)
0.999980 0.00633416i \(-0.00201624\pi\)
\(8\) −10991.9 + 5293.44i −0.948788 + 0.456912i
\(9\) −2303.38 710.499i −0.117024 0.0360971i
\(10\) −1175.09 15680.5i −0.0371597 0.495862i
\(11\) 19692.6 + 86279.1i 0.405543 + 1.77680i 0.604306 + 0.796752i \(0.293450\pi\)
−0.198763 + 0.980047i \(0.563693\pi\)
\(12\) −12784.2 + 32573.6i −0.177975 + 0.453472i
\(13\) −10352.4 + 138143.i −0.100530 + 1.34148i 0.687654 + 0.726038i \(0.258641\pi\)
−0.788184 + 0.615440i \(0.788978\pi\)
\(14\) −99548.7 + 15004.6i −0.692563 + 0.104387i
\(15\) −96637.8 89666.8i −0.492874 0.457321i
\(16\) 49490.0 + 23833.1i 0.188789 + 0.0909162i
\(17\) 433902. 295829.i 1.26000 0.859055i 0.265535 0.964101i \(-0.414451\pi\)
0.994467 + 0.105046i \(0.0334989\pi\)
\(18\) 13805.2 + 35175.1i 0.0309968 + 0.0789785i
\(19\) 25458.7 7852.96i 0.0448172 0.0138243i −0.272266 0.962222i \(-0.587773\pi\)
0.317083 + 0.948398i \(0.397297\pi\)
\(20\) 195779. 181657.i 0.273610 0.253873i
\(21\) −526234. + 659876.i −0.590462 + 0.740416i
\(22\) 864977. 1.08465e6i 0.787232 0.987158i
\(23\) −462657. + 429283.i −0.344734 + 0.319866i −0.833469 0.552566i \(-0.813649\pi\)
0.488735 + 0.872432i \(0.337458\pi\)
\(24\) 1.53217e6 472611.i 0.942661 0.290772i
\(25\) −345964. 881502.i −0.177134 0.451329i
\(26\) 1.79429e6 1.22333e6i 0.770039 0.525004i
\(27\) 2.61608e6 + 1.25984e6i 0.947359 + 0.456224i
\(28\) −1.25344e6 1.16302e6i −0.385383 0.357583i
\(29\) 1.71103e6 257896.i 0.449228 0.0677103i 0.0794679 0.996837i \(-0.474678\pi\)
0.369760 + 0.929127i \(0.379440\pi\)
\(30\) −154437. + 2.06081e6i −0.0348100 + 0.464508i
\(31\) 2.23489e6 5.69442e6i 0.434640 1.10744i −0.530957 0.847399i \(-0.678167\pi\)
0.965596 0.260045i \(-0.0837375\pi\)
\(32\) 1.19836e6 + 5.25035e6i 0.202028 + 0.885143i
\(33\) −869174. 1.15983e7i −0.127583 1.70248i
\(34\) −7.86669e6 2.42655e6i −1.00957 0.311412i
\(35\) 5.80384e6 2.79498e6i 0.653746 0.314828i
\(36\) −320900. + 555815.i −0.0318426 + 0.0551530i
\(37\) −2.27668e6 3.94333e6i −0.199707 0.345904i 0.748726 0.662880i \(-0.230666\pi\)
−0.948434 + 0.316976i \(0.897333\pi\)
\(38\) −345080. 235272.i −0.0268469 0.0183039i
\(39\) 4.05129e6 1.77499e7i 0.280416 1.22858i
\(40\) −1.21010e7 1.82393e6i −0.747396 0.112652i
\(41\) 2.08764e7 + 2.61782e7i 1.15379 + 1.44681i 0.873450 + 0.486913i \(0.161877\pi\)
0.280344 + 0.959900i \(0.409551\pi\)
\(42\) 1.32310e7 0.656100
\(43\) 1.35359e7 1.78710e7i 0.603780 0.797151i
\(44\) 2.35630e7 0.947750
\(45\) −1.50753e6 1.89038e6i −0.0548036 0.0687215i
\(46\) 9.78338e6 + 1.47461e6i 0.322165 + 0.0485586i
\(47\) −1.94419e6 + 8.51804e6i −0.0581162 + 0.254624i −0.995638 0.0933035i \(-0.970257\pi\)
0.937521 + 0.347927i \(0.113114\pi\)
\(48\) −5.96474e6 4.06669e6i −0.162183 0.110575i
\(49\) −444333. 769608.i −0.0110110 0.0190716i
\(50\) −7.42241e6 + 1.28560e7i −0.167950 + 0.290898i
\(51\) −6.21833e7 + 2.99459e7i −1.28709 + 0.619829i
\(52\) 3.52457e7 + 1.08719e7i 0.668484 + 0.206200i
\(53\) −5.89953e6 7.87238e7i −0.102701 1.37045i −0.775836 0.630934i \(-0.782672\pi\)
0.673135 0.739520i \(-0.264947\pi\)
\(54\) −1.01287e7 4.43769e7i −0.162100 0.710207i
\(55\) −3.24314e7 + 8.26339e7i −0.477896 + 1.21766i
\(56\) −5.85506e6 + 7.81303e7i −0.0795582 + 1.06163i
\(57\) −3.46236e6 + 521866.i −0.0434445 + 0.00654821i
\(58\) −1.98844e7 1.84501e7i −0.230721 0.214078i
\(59\) 5.97936e7 + 2.87951e7i 0.642423 + 0.309375i 0.726584 0.687078i \(-0.241107\pi\)
−0.0841612 + 0.996452i \(0.526821\pi\)
\(60\) −2.90012e7 + 1.97727e7i −0.288892 + 0.196963i
\(61\) 2.34165e7 + 5.96642e7i 0.216540 + 0.551734i 0.997327 0.0730625i \(-0.0232773\pi\)
−0.780788 + 0.624796i \(0.785182\pi\)
\(62\) −9.16357e7 + 2.82659e7i −0.787594 + 0.242940i
\(63\) −1.13477e7 + 1.05291e7i −0.0907560 + 0.0842093i
\(64\) 7.01716e7 8.79924e7i 0.522819 0.655594i
\(65\) −8.66380e7 + 1.08641e8i −0.602002 + 0.754887i
\(66\) −1.33656e8 + 1.24015e8i −0.867042 + 0.804498i
\(67\) −6.19886e7 + 1.91209e7i −0.375816 + 0.115924i −0.476908 0.878953i \(-0.658242\pi\)
0.101092 + 0.994877i \(0.467766\pi\)
\(68\) −5.10837e7 1.30159e8i −0.289729 0.738218i
\(69\) 6.85343e7 4.67259e7i 0.363988 0.248163i
\(70\) −9.09825e7 4.38148e7i −0.452915 0.218112i
\(71\) −2.50921e8 2.32821e8i −1.17186 1.08733i −0.994666 0.103149i \(-0.967108\pi\)
−0.177192 0.984176i \(-0.556701\pi\)
\(72\) 2.90796e7 4.38304e6i 0.127524 0.0192211i
\(73\) −1.67633e7 + 2.23691e8i −0.0690888 + 0.921926i 0.849723 + 0.527229i \(0.176769\pi\)
−0.918812 + 0.394696i \(0.870850\pi\)
\(74\) −2.60779e7 + 6.64455e7i −0.101095 + 0.257586i
\(75\) 2.76937e7 + 1.21334e8i 0.101066 + 0.442800i
\(76\) −530109. 7.07381e6i −0.00182265 0.0243216i
\(77\) 5.43085e8 + 1.67520e8i 1.76060 + 0.543072i
\(78\) −2.57143e8 + 1.23834e8i −0.786591 + 0.378802i
\(79\) 1.20500e8 2.08712e8i 0.348068 0.602872i −0.637838 0.770170i \(-0.720171\pi\)
0.985906 + 0.167299i \(0.0535045\pi\)
\(80\) 2.75494e7 + 4.77170e7i 0.0751982 + 0.130247i
\(81\) −2.76100e8 1.88242e8i −0.712662 0.485885i
\(82\) 1.16799e8 5.11731e8i 0.285284 1.24991i
\(83\) 6.49125e8 + 9.78399e7i 1.50133 + 0.226290i 0.847681 0.530506i \(-0.177998\pi\)
0.653652 + 0.756795i \(0.273236\pi\)
\(84\) 1.40112e8 + 1.75695e8i 0.307057 + 0.385038i
\(85\) 5.26769e8 1.09455
\(86\) −3.51330e8 + 8.77220e6i −0.692583 + 0.0172928i
\(87\) −2.27412e8 −0.425576
\(88\) −6.73173e8 8.44132e8i −1.19662 1.50051i
\(89\) −5.77285e8 8.70117e7i −0.975293 0.147002i −0.357989 0.933726i \(-0.616537\pi\)
−0.617305 + 0.786724i \(0.711775\pi\)
\(90\) −8.43431e6 + 3.69531e7i −0.0135506 + 0.0593690i
\(91\) 7.35058e8 + 5.01154e8i 1.12366 + 0.766099i
\(92\) 8.40218e7 + 1.45530e8i 0.122278 + 0.211791i
\(93\) −4.01982e8 + 6.96253e8i −0.557229 + 0.965148i
\(94\) 1.23401e8 5.94269e7i 0.163021 0.0785068i
\(95\) 2.55370e7 + 7.87712e6i 0.0321672 + 0.00992227i
\(96\) −5.28919e7 7.05793e8i −0.0635578 0.848119i
\(97\) 2.59600e8 + 1.13738e9i 0.297736 + 1.30447i 0.873489 + 0.486844i \(0.161852\pi\)
−0.575752 + 0.817624i \(0.695291\pi\)
\(98\) −5.08955e6 + 1.29680e7i −0.00557394 + 0.0142022i
\(99\) 1.59415e7 2.12725e8i 0.0166791 0.222567i
\(100\) −2.49317e8 + 3.75785e7i −0.249317 + 0.0375785i
\(101\) 6.27943e8 + 5.82646e8i 0.600446 + 0.557132i 0.920735 0.390187i \(-0.127590\pi\)
−0.320290 + 0.947320i \(0.603780\pi\)
\(102\) 9.74802e8 + 4.69440e8i 0.891693 + 0.429417i
\(103\) 1.11708e9 7.61613e8i 0.977951 0.666756i 0.0348956 0.999391i \(-0.488890\pi\)
0.943056 + 0.332635i \(0.107938\pi\)
\(104\) −6.17458e8 1.57326e9i −0.517556 1.31871i
\(105\) −8.08998e8 + 2.49543e8i −0.649524 + 0.200352i
\(106\) −9.07192e8 + 8.41751e8i −0.697947 + 0.647601i
\(107\) 9.38286e8 1.17657e9i 0.692004 0.867745i −0.304394 0.952546i \(-0.598454\pi\)
0.996398 + 0.0848010i \(0.0270254\pi\)
\(108\) 4.82024e8 6.04439e8i 0.340928 0.427510i
\(109\) 2.77967e8 2.57916e8i 0.188614 0.175008i −0.580214 0.814464i \(-0.697031\pi\)
0.768828 + 0.639456i \(0.220840\pi\)
\(110\) 1.32976e9 4.10177e8i 0.865977 0.267119i
\(111\) 2.18629e8 + 5.57059e8i 0.136696 + 0.348295i
\(112\) 2.91464e8 1.98717e8i 0.175026 0.119331i
\(113\) 1.64397e9 + 7.91695e8i 0.948509 + 0.456778i 0.843163 0.537658i \(-0.180691\pi\)
0.105346 + 0.994436i \(0.466405\pi\)
\(114\) 4.02371e7 + 3.73346e7i 0.0223128 + 0.0207033i
\(115\) −6.26009e8 + 9.43557e7i −0.333765 + 0.0503069i
\(116\) 3.44294e7 4.59428e8i 0.0176550 0.235590i
\(117\) 1.21996e8 3.10840e8i 0.0601878 0.153356i
\(118\) −2.31504e8 1.01429e9i −0.109923 0.481605i
\(119\) −2.52030e8 3.36311e9i −0.115210 1.53738i
\(120\) 1.53688e9 + 4.74065e8i 0.676589 + 0.208700i
\(121\) −4.93184e9 + 2.37505e9i −2.09158 + 1.00725i
\(122\) 5.02384e8 8.70154e8i 0.205313 0.355612i
\(123\) −2.20026e9 3.81097e9i −0.866765 1.50128i
\(124\) −1.34574e9 9.17512e8i −0.511169 0.348509i
\(125\) 6.47316e8 2.83608e9i 0.237149 1.03902i
\(126\) 2.39959e8 + 3.61680e7i 0.0848145 + 0.0127837i
\(127\) 1.19135e9 + 1.49391e9i 0.406372 + 0.509575i 0.942337 0.334666i \(-0.108623\pi\)
−0.535964 + 0.844241i \(0.680052\pi\)
\(128\) 9.93002e8 0.326968
\(129\) −2.10914e9 + 2.05732e9i −0.670582 + 0.654107i
\(130\) 2.17832e9 0.668923
\(131\) 3.44024e9 + 4.31392e9i 1.02063 + 1.27983i 0.959504 + 0.281697i \(0.0908971\pi\)
0.0611242 + 0.998130i \(0.480531\pi\)
\(132\) −3.06218e9 4.61549e8i −0.877906 0.132323i
\(133\) 3.80727e7 1.66807e8i 0.0105507 0.0462257i
\(134\) 8.40225e8 + 5.72856e8i 0.225125 + 0.153488i
\(135\) 1.45628e9 + 2.52236e9i 0.377350 + 0.653589i
\(136\) −3.20347e9 + 5.54857e9i −0.802962 + 1.39077i
\(137\) −1.19251e9 + 5.74284e8i −0.289215 + 0.139278i −0.572866 0.819649i \(-0.694168\pi\)
0.283651 + 0.958927i \(0.408454\pi\)
\(138\) −1.24254e9 3.83271e8i −0.291644 0.0899602i
\(139\) 5.17458e8 + 6.90500e9i 0.117573 + 1.56891i 0.674456 + 0.738315i \(0.264378\pi\)
−0.556882 + 0.830591i \(0.688003\pi\)
\(140\) −3.81658e8 1.67215e9i −0.0839649 0.367874i
\(141\) 4.19511e8 1.06890e9i 0.0893835 0.227745i
\(142\) −4.00997e8 + 5.35093e9i −0.0827643 + 1.10441i
\(143\) −1.21227e10 + 1.82720e9i −2.42431 + 0.365405i
\(144\) −9.70609e7 9.00594e7i −0.0188111 0.0174541i
\(145\) 1.56380e9 + 7.53084e8i 0.293781 + 0.141478i
\(146\) 2.90545e9 1.98090e9i 0.529206 0.360807i
\(147\) 4.26693e7 + 1.08720e8i 0.00753680 + 0.0192035i
\(148\) −1.15849e9 + 3.57348e8i −0.198480 + 0.0612228i
\(149\) −6.22908e9 + 5.77974e9i −1.03535 + 0.960662i −0.999251 0.0386868i \(-0.987683\pi\)
−0.0360955 + 0.999348i \(0.511492\pi\)
\(150\) 1.21642e9 1.52534e9i 0.196188 0.246011i
\(151\) 4.50612e9 5.65050e9i 0.705353 0.884485i −0.292058 0.956401i \(-0.594340\pi\)
0.997411 + 0.0719159i \(0.0229113\pi\)
\(152\) −2.38271e8 + 2.21083e8i −0.0362055 + 0.0335938i
\(153\) −1.20963e9 + 3.73121e8i −0.178460 + 0.0550475i
\(154\) −3.25496e9 8.29349e9i −0.466339 1.18821i
\(155\) 5.06989e9 3.45659e9i 0.705514 0.481012i
\(156\) −4.36747e9 2.10326e9i −0.590431 0.284337i
\(157\) 5.11710e8 + 4.74798e8i 0.0672164 + 0.0623677i 0.713066 0.701097i \(-0.247306\pi\)
−0.645849 + 0.763465i \(0.723497\pi\)
\(158\) −3.73577e9 + 5.63077e8i −0.476896 + 0.0718805i
\(159\) −7.75346e8 + 1.03463e10i −0.0962074 + 1.28380i
\(160\) −1.97355e9 + 5.02853e9i −0.238072 + 0.606598i
\(161\) 9.01917e8 + 3.95156e9i 0.105791 + 0.463502i
\(162\) 3.91470e8 + 5.22381e9i 0.0446561 + 0.595895i
\(163\) 1.42849e10 + 4.40630e9i 1.58501 + 0.488911i 0.957193 0.289449i \(-0.0934722\pi\)
0.627818 + 0.778361i \(0.283948\pi\)
\(164\) 8.03219e9 3.86810e9i 0.867035 0.417542i
\(165\) 5.83331e9 1.01036e10i 0.612685 1.06120i
\(166\) −5.14540e9 8.91209e9i −0.525936 0.910947i
\(167\) 1.01502e10 + 6.92026e9i 1.00983 + 0.688491i 0.950813 0.309766i \(-0.100251\pi\)
0.0590181 + 0.998257i \(0.481203\pi\)
\(168\) 2.29131e9 1.00389e10i 0.221918 0.972287i
\(169\) −8.49024e9 1.27970e9i −0.800627 0.120675i
\(170\) −5.14863e9 6.45618e9i −0.472794 0.592865i
\(171\) −6.42205e7 −0.00574369
\(172\) −3.83697e9 4.57245e9i −0.334280 0.398355i
\(173\) −5.89829e8 −0.0500632 −0.0250316 0.999687i \(-0.507969\pi\)
−0.0250316 + 0.999687i \(0.507969\pi\)
\(174\) 2.22272e9 + 2.78721e9i 0.183829 + 0.230514i
\(175\) −6.01348e9 9.06386e8i −0.484679 0.0730536i
\(176\) −1.08171e9 + 4.73929e9i −0.0849777 + 0.372311i
\(177\) −7.20657e9 4.91336e9i −0.551886 0.376269i
\(178\) 4.57594e9 + 7.92577e9i 0.341657 + 0.591768i
\(179\) 8.07562e9 1.39874e10i 0.587946 1.01835i −0.406555 0.913626i \(-0.633270\pi\)
0.994501 0.104726i \(-0.0333965\pi\)
\(180\) −5.80021e8 + 2.79323e8i −0.0411829 + 0.0198327i
\(181\) −7.29108e9 2.24900e9i −0.504938 0.155753i 0.0318123 0.999494i \(-0.489872\pi\)
−0.536750 + 0.843741i \(0.680348\pi\)
\(182\) −1.04221e9 1.39073e10i −0.0704097 0.939553i
\(183\) −1.87444e9 8.21246e9i −0.123550 0.541307i
\(184\) 2.81311e9 7.16770e9i 0.180929 0.460998i
\(185\) 3.41320e8 4.55460e9i 0.0214234 0.285876i
\(186\) 1.24624e10 1.87840e9i 0.763471 0.115075i
\(187\) 3.40686e10 + 3.16110e10i 2.03735 + 1.89039i
\(188\) 2.09592e9 + 1.00934e9i 0.122367 + 0.0589288i
\(189\) 1.54070e10 1.05043e10i 0.878296 0.598812i
\(190\) −1.53055e8 3.89977e8i −0.00852031 0.0217094i
\(191\) −9.73941e9 + 3.00421e9i −0.529520 + 0.163335i −0.547975 0.836494i \(-0.684601\pi\)
0.0184555 + 0.999830i \(0.494125\pi\)
\(192\) −1.08429e10 + 1.00607e10i −0.575823 + 0.534286i
\(193\) −1.05504e10 + 1.32298e10i −0.547347 + 0.686351i −0.976162 0.217041i \(-0.930359\pi\)
0.428816 + 0.903392i \(0.358931\pi\)
\(194\) 1.14026e10 1.42985e10i 0.577960 0.724739i
\(195\) 1.33873e10 1.24216e10i 0.663034 0.615206i
\(196\) −2.26100e8 + 6.97425e7i −0.0109433 + 0.00337556i
\(197\) −4.58147e9 1.16734e10i −0.216724 0.552203i 0.780623 0.625002i \(-0.214902\pi\)
−0.997347 + 0.0727993i \(0.976807\pi\)
\(198\) −2.76301e9 + 1.88379e9i −0.127758 + 0.0871042i
\(199\) −2.59157e10 1.24803e10i −1.17145 0.564141i −0.256041 0.966666i \(-0.582418\pi\)
−0.915409 + 0.402525i \(0.868133\pi\)
\(200\) 8.46899e9 + 7.85807e9i 0.374280 + 0.347281i
\(201\) 8.43039e9 1.27068e9i 0.364305 0.0549102i
\(202\) 1.00351e9 1.33910e10i 0.0424074 0.565888i
\(203\) 4.05981e9 1.03442e10i 0.167793 0.427529i
\(204\) 4.08915e9 + 1.79157e10i 0.165309 + 0.724267i
\(205\) 2.50990e9 + 3.34923e10i 0.0992576 + 1.32450i
\(206\) −2.02528e10 6.24716e9i −0.783579 0.241702i
\(207\) 1.37068e9 6.60085e8i 0.0518883 0.0249881i
\(208\) −3.80472e9 + 6.58997e9i −0.140941 + 0.244117i
\(209\) 1.17889e9 + 2.04190e9i 0.0427382 + 0.0740248i
\(210\) 1.09656e10 + 7.47620e9i 0.389085 + 0.265274i
\(211\) −2.26288e9 + 9.91435e9i −0.0785944 + 0.344344i −0.998902 0.0468513i \(-0.985081\pi\)
0.920308 + 0.391196i \(0.127938\pi\)
\(212\) −2.07846e10 3.13277e9i −0.706692 0.106517i
\(213\) 2.80485e10 + 3.51717e10i 0.933688 + 1.17081i
\(214\) −2.35911e10 −0.768929
\(215\) 2.13164e10 7.16263e9i 0.680362 0.228612i
\(216\) −3.54247e10 −1.10730
\(217\) −2.44940e10 3.07145e10i −0.749878 0.940317i
\(218\) −5.87791e9 8.85952e8i −0.176266 0.0265678i
\(219\) 6.56015e9 2.87419e10i 0.192715 0.844339i
\(220\) 1.95286e10 + 1.33144e10i 0.562042 + 0.383193i
\(221\) 3.63748e10 + 6.30030e10i 1.02574 + 1.77663i
\(222\) 4.69054e9 8.12425e9i 0.129609 0.224489i
\(223\) −9.14529e7 + 4.40414e7i −0.00247643 + 0.00119258i −0.435122 0.900372i \(-0.643295\pi\)
0.432645 + 0.901564i \(0.357580\pi\)
\(224\) 3.30484e10 + 1.01941e10i 0.877071 + 0.270540i
\(225\) 1.70581e8 + 2.27624e9i 0.00443719 + 0.0592102i
\(226\) −6.36499e9 2.78868e10i −0.162297 0.711068i
\(227\) 2.25831e10 5.75407e10i 0.564503 1.43833i −0.308787 0.951131i \(-0.599923\pi\)
0.873291 0.487200i \(-0.161982\pi\)
\(228\) −6.96695e7 + 9.29675e8i −0.00170740 + 0.0227837i
\(229\) −3.04801e10 + 4.59414e9i −0.732414 + 0.110394i −0.504652 0.863323i \(-0.668379\pi\)
−0.227763 + 0.973717i \(0.573141\pi\)
\(230\) 7.27505e9 + 6.75026e9i 0.171420 + 0.159054i
\(231\) −6.72964e10 3.24083e10i −1.55503 0.748862i
\(232\) −1.74424e10 + 1.18920e10i −0.395285 + 0.269500i
\(233\) 8.54792e9 + 2.17797e10i 0.190002 + 0.484118i 0.993852 0.110714i \(-0.0353138\pi\)
−0.803850 + 0.594832i \(0.797219\pi\)
\(234\) −5.00210e9 + 1.54294e9i −0.109064 + 0.0336418i
\(235\) −6.42445e9 + 5.96102e9i −0.137414 + 0.127501i
\(236\) 1.10172e10 1.38152e10i 0.231190 0.289903i
\(237\) −1.97480e10 + 2.47632e10i −0.406589 + 0.509847i
\(238\) −3.87556e10 + 3.59599e10i −0.782957 + 0.726478i
\(239\) −4.77666e10 + 1.47340e10i −0.946964 + 0.292100i −0.729509 0.683971i \(-0.760252\pi\)
−0.217454 + 0.976070i \(0.569775\pi\)
\(240\) −2.64557e9 6.74079e9i −0.0514716 0.131148i
\(241\) 4.06065e10 2.76851e10i 0.775388 0.528651i −0.109761 0.993958i \(-0.535008\pi\)
0.885149 + 0.465307i \(0.154056\pi\)
\(242\) 7.73128e10 + 3.72319e10i 1.44905 + 0.697824i
\(243\) −9.70166e9 9.00183e9i −0.178492 0.165616i
\(244\) 1.68750e10 2.54349e9i 0.304781 0.0459384i
\(245\) 6.66145e7 8.88908e8i 0.00118119 0.0157619i
\(246\) −2.52026e10 + 6.42152e10i −0.438770 + 1.11797i
\(247\) 8.21273e8 + 3.59823e9i 0.0140395 + 0.0615110i
\(248\) 5.57723e9 + 7.44230e10i 0.0936237 + 1.24932i
\(249\) −8.24420e10 2.54300e10i −1.35910 0.419227i
\(250\) −4.10863e10 + 1.97861e10i −0.665223 + 0.320355i
\(251\) −1.72287e10 + 2.98409e10i −0.273981 + 0.474548i −0.969877 0.243593i \(-0.921674\pi\)
0.695897 + 0.718142i \(0.255007\pi\)
\(252\) 2.06082e9 + 3.56945e9i 0.0321913 + 0.0557569i
\(253\) −4.61491e10 3.14639e10i −0.708143 0.482804i
\(254\) 6.66538e9 2.92029e10i 0.100479 0.440225i
\(255\) −6.84574e10 1.03183e10i −1.01389 0.152819i
\(256\) −4.56334e10 5.72225e10i −0.664054 0.832697i
\(257\) 2.08904e10 0.298709 0.149355 0.988784i \(-0.452280\pi\)
0.149355 + 0.988784i \(0.452280\pi\)
\(258\) 4.58296e10 + 5.74180e9i 0.643958 + 0.0806788i
\(259\) −2.92418e10 −0.403789
\(260\) 2.30678e10 + 2.89261e10i 0.313059 + 0.392563i
\(261\) −4.12439e9 6.21652e8i −0.0550145 0.00829211i
\(262\) 1.92474e10 8.43284e10i 0.252358 1.10565i
\(263\) 1.26222e10 + 8.60564e9i 0.162679 + 0.110913i 0.641923 0.766769i \(-0.278137\pi\)
−0.479244 + 0.877682i \(0.659089\pi\)
\(264\) 7.09488e10 + 1.22887e11i 0.898934 + 1.55700i
\(265\) 3.95937e10 6.85783e10i 0.493196 0.854241i
\(266\) −2.41655e9 + 1.16375e9i −0.0295956 + 0.0142525i
\(267\) 7.33179e10 + 2.26156e10i 0.882896 + 0.272337i
\(268\) 1.29075e9 + 1.72238e10i 0.0152839 + 0.203950i
\(269\) −3.22943e10 1.41491e11i −0.376046 1.64756i −0.709433 0.704773i \(-0.751049\pi\)
0.333387 0.942790i \(-0.391808\pi\)
\(270\) 1.66808e10 4.25020e10i 0.191021 0.486712i
\(271\) −7.78738e9 + 1.03915e11i −0.0877061 + 1.17036i 0.763601 + 0.645688i \(0.223430\pi\)
−0.851307 + 0.524668i \(0.824190\pi\)
\(272\) 2.85244e10 4.29936e9i 0.315977 0.0476259i
\(273\) −8.57095e10 7.95268e10i −0.933892 0.866526i
\(274\) 1.86941e10 + 9.00262e9i 0.200368 + 0.0964920i
\(275\) 6.92422e10 4.72085e10i 0.730086 0.497764i
\(276\) −8.06861e9 2.05585e10i −0.0836966 0.213255i
\(277\) −7.42777e10 + 2.29116e10i −0.758052 + 0.233828i −0.649603 0.760274i \(-0.725065\pi\)
−0.108450 + 0.994102i \(0.534589\pi\)
\(278\) 7.95714e10 7.38315e10i 0.799016 0.741378i
\(279\) −9.19369e9 + 1.15285e10i −0.0908387 + 0.113908i
\(280\) −4.90004e10 + 6.14445e10i −0.476418 + 0.597409i
\(281\) 8.00427e10 7.42688e10i 0.765850 0.710605i −0.197071 0.980389i \(-0.563143\pi\)
0.962921 + 0.269785i \(0.0869525\pi\)
\(282\) −1.72009e10 + 5.30577e9i −0.161968 + 0.0499606i
\(283\) 2.84803e10 + 7.25667e10i 0.263940 + 0.672509i 0.999990 0.00441818i \(-0.00140635\pi\)
−0.736050 + 0.676927i \(0.763311\pi\)
\(284\) −7.53019e10 + 5.13400e10i −0.686868 + 0.468299i
\(285\) −3.16442e9 1.52390e9i −0.0284113 0.0136822i
\(286\) 1.40882e11 + 1.30719e11i 1.24511 + 1.15529i
\(287\) 2.12628e11 3.20485e10i 1.84991 0.278829i
\(288\) 9.70092e8 1.29450e10i 0.00830896 0.110875i
\(289\) 5.74309e10 1.46332e11i 0.484290 1.23395i
\(290\) −6.05457e9 2.65268e10i −0.0502681 0.220239i
\(291\) −1.14580e10 1.52896e11i −0.0936675 1.24991i
\(292\) 5.70724e10 + 1.76045e10i 0.459413 + 0.141710i
\(293\) −9.29964e10 + 4.47847e10i −0.737160 + 0.354998i −0.764496 0.644629i \(-0.777012\pi\)
0.0273356 + 0.999626i \(0.491298\pi\)
\(294\) 9.15438e8 1.58559e9i 0.00714605 0.0123773i
\(295\) 3.32851e10 + 5.76514e10i 0.255888 + 0.443211i
\(296\) 4.58989e10 + 3.12933e10i 0.347528 + 0.236940i
\(297\) −5.71802e10 + 2.50523e11i −0.426424 + 1.86829i
\(298\) 1.31721e11 + 1.98537e10i 0.967566 + 0.145837i
\(299\) −5.45128e10 6.83569e10i −0.394438 0.494609i
\(300\) 3.31366e10 0.236190
\(301\) −5.59279e10 1.32665e11i −0.392717 0.931556i
\(302\) −1.13296e11 −0.783763
\(303\) −7.01928e10 8.80190e10i −0.478411 0.599908i
\(304\) 1.44711e9 + 2.18117e8i 0.00971786 + 0.00146473i
\(305\) −1.43063e10 + 6.26801e10i −0.0946627 + 0.414744i
\(306\) 1.63959e10 + 1.11785e10i 0.106903 + 0.0728851i
\(307\) 4.34311e10 + 7.52248e10i 0.279047 + 0.483324i 0.971148 0.238477i \(-0.0766481\pi\)
−0.692101 + 0.721801i \(0.743315\pi\)
\(308\) 7.56610e10 1.31049e11i 0.479064 0.829764i
\(309\) −1.60091e11 + 7.70958e10i −0.998973 + 0.481080i
\(310\) −9.19177e10 2.83529e10i −0.565290 0.174369i
\(311\) −1.33728e10 1.78448e11i −0.0810590 1.08166i −0.878336 0.478044i \(-0.841346\pi\)
0.797277 0.603614i \(-0.206273\pi\)
\(312\) 4.94263e10 + 2.16551e11i 0.295299 + 1.29379i
\(313\) 4.23095e10 1.07803e11i 0.249166 0.634864i −0.750496 0.660875i \(-0.770185\pi\)
0.999662 + 0.0260109i \(0.00828047\pi\)
\(314\) 8.17763e8 1.09123e10i 0.00474727 0.0633479i
\(315\) −1.53543e10 + 2.31428e9i −0.0878682 + 0.0132440i
\(316\) −4.70380e10 4.36448e10i −0.265373 0.246230i
\(317\) 1.23934e11 + 5.96834e10i 0.689324 + 0.331961i 0.745543 0.666457i \(-0.232190\pi\)
−0.0562188 + 0.998418i \(0.517904\pi\)
\(318\) 1.34384e11 9.16215e10i 0.736929 0.502430i
\(319\) 5.59458e10 + 1.42548e11i 0.302489 + 0.770729i
\(320\) 1.07877e11 3.32757e10i 0.575116 0.177400i
\(321\) −1.44984e11 + 1.34525e11i −0.762160 + 0.707181i
\(322\) 3.96157e10 4.96765e10i 0.205360 0.257513i
\(323\) 8.72343e9 1.09388e10i 0.0445939 0.0559190i
\(324\) −6.52219e10 + 6.05170e10i −0.328807 + 0.305088i
\(325\) 1.25355e11 3.86668e10i 0.623255 0.192249i
\(326\) −8.56157e10 2.18145e11i −0.419831 1.06971i
\(327\) −4.11758e10 + 2.80732e10i −0.199149 + 0.135777i
\(328\) −3.68045e11 1.77241e11i −1.75577 0.845536i
\(329\) 4.11314e10 + 3.81643e10i 0.193549 + 0.179587i
\(330\) −1.80846e11 + 2.72582e10i −0.839454 + 0.126527i
\(331\) −4.71750e9 + 6.29507e10i −0.0216016 + 0.288253i 0.975933 + 0.218072i \(0.0699768\pi\)
−0.997534 + 0.0701812i \(0.977642\pi\)
\(332\) 6.38561e10 1.62703e11i 0.288457 0.734977i
\(333\) 2.44233e9 + 1.07006e10i 0.0108844 + 0.0476878i
\(334\) −1.43915e10 1.92041e11i −0.0632770 0.844373i
\(335\) −6.21793e10 1.91798e10i −0.269739 0.0832036i
\(336\) −4.17702e10 + 2.01155e10i −0.178789 + 0.0861001i
\(337\) 1.69429e10 2.93459e10i 0.0715570 0.123940i −0.828027 0.560688i \(-0.810537\pi\)
0.899584 + 0.436748i \(0.143870\pi\)
\(338\) 6.72993e10 + 1.16566e11i 0.280469 + 0.485787i
\(339\) −1.98138e11 1.35088e11i −0.814834 0.555545i
\(340\) 3.12096e10 1.36738e11i 0.126658 0.554926i
\(341\) 5.35320e11 + 8.06865e10i 2.14397 + 0.323152i
\(342\) 6.27690e8 + 7.87099e8i 0.00248101 + 0.00311108i
\(343\) 2.53444e11 0.988688
\(344\) −5.41868e10 + 2.68088e11i −0.208632 + 1.03220i
\(345\) 8.32026e10 0.316192
\(346\) 5.76498e9 + 7.22906e9i 0.0216250 + 0.0271169i
\(347\) 3.83418e10 + 5.77909e9i 0.141968 + 0.0213982i 0.219642 0.975581i \(-0.429511\pi\)
−0.0776739 + 0.996979i \(0.524749\pi\)
\(348\) −1.34736e10 + 5.90315e10i −0.0492466 + 0.215763i
\(349\) −2.02635e11 1.38154e11i −0.731140 0.498483i 0.139612 0.990206i \(-0.455415\pi\)
−0.870751 + 0.491724i \(0.836367\pi\)
\(350\) 4.76668e10 + 8.25613e10i 0.169789 + 0.294083i
\(351\) −2.01121e11 + 3.48351e11i −0.707253 + 1.22500i
\(352\) −4.29396e11 + 2.06786e11i −1.49079 + 0.717927i
\(353\) −4.27005e10 1.31714e10i −0.146368 0.0451486i 0.220705 0.975341i \(-0.429164\pi\)
−0.367074 + 0.930192i \(0.619640\pi\)
\(354\) 1.02179e10 + 1.36348e11i 0.0345817 + 0.461461i
\(355\) −7.64026e10 3.34742e11i −0.255317 1.11862i
\(356\) −5.67890e10 + 1.44696e11i −0.187387 + 0.477454i
\(357\) −3.31231e10 + 4.41997e11i −0.107925 + 1.44017i
\(358\) −2.50363e11 + 3.77362e10i −0.805558 + 0.121418i
\(359\) 2.20602e11 + 2.04689e11i 0.700946 + 0.650383i 0.947872 0.318652i \(-0.103230\pi\)
−0.246926 + 0.969034i \(0.579420\pi\)
\(360\) 2.65773e10 + 1.27989e10i 0.0833967 + 0.0401617i
\(361\) −2.66031e11 + 1.81377e11i −0.824421 + 0.562081i
\(362\) 4.36987e10 + 1.11343e11i 0.133746 + 0.340779i
\(363\) 6.87450e11 2.12050e11i 2.07808 0.641001i
\(364\) 1.73639e11 1.61114e11i 0.518432 0.481035i
\(365\) −1.40291e11 + 1.75919e11i −0.413724 + 0.518793i
\(366\) −8.23328e10 + 1.03242e11i −0.239832 + 0.300740i
\(367\) 5.67831e10 5.26870e10i 0.163389 0.151602i −0.594241 0.804287i \(-0.702548\pi\)
0.757630 + 0.652684i \(0.226357\pi\)
\(368\) −3.31281e10 + 1.02187e10i −0.0941632 + 0.0290455i
\(369\) −2.94867e10 7.51310e10i −0.0827958 0.210960i
\(370\) −5.91581e10 + 4.03333e10i −0.164099 + 0.111881i
\(371\) −4.56776e11 2.19972e11i −1.25176 0.602815i
\(372\) 1.56917e11 + 1.45597e11i 0.424840 + 0.394194i
\(373\) −2.69425e11 + 4.06093e10i −0.720691 + 0.108627i −0.499139 0.866522i \(-0.666350\pi\)
−0.221552 + 0.975149i \(0.571112\pi\)
\(374\) 5.44449e10 7.26516e11i 0.143891 1.92010i
\(375\) −1.39676e11 + 3.55889e11i −0.364738 + 0.929337i
\(376\) −2.37193e10 1.03921e11i −0.0612008 0.268138i
\(377\) 1.79133e10 + 2.39037e11i 0.0456710 + 0.609437i
\(378\) −2.79331e11 8.61623e10i −0.703730 0.217072i
\(379\) −4.28385e11 + 2.06299e11i −1.06649 + 0.513595i −0.882974 0.469421i \(-0.844463\pi\)
−0.183517 + 0.983016i \(0.558748\pi\)
\(380\) 3.55774e9 6.16218e9i 0.00875281 0.0151603i
\(381\) −1.25562e11 2.17480e11i −0.305279 0.528759i
\(382\) 1.32013e11 + 9.00049e10i 0.317199 + 0.216262i
\(383\) 5.20325e10 2.27969e11i 0.123561 0.541354i −0.874819 0.484450i \(-0.839020\pi\)
0.998380 0.0569045i \(-0.0181230\pi\)
\(384\) −1.29048e11 1.94508e10i −0.302872 0.0456506i
\(385\) 3.55441e11 + 4.45709e11i 0.824508 + 1.03390i
\(386\) 2.65267e11 0.608192
\(387\) −4.38756e10 + 3.15464e10i −0.0994315 + 0.0714909i
\(388\) 3.10621e11 0.695807
\(389\) 3.62248e11 + 4.54244e11i 0.802107 + 1.00581i 0.999674 + 0.0255213i \(0.00812457\pi\)
−0.197567 + 0.980289i \(0.563304\pi\)
\(390\) −2.83088e11 4.26686e10i −0.619627 0.0933938i
\(391\) −7.37533e10 + 3.23134e11i −0.159583 + 0.699178i
\(392\) 8.95795e9 + 6.10743e9i 0.0191611 + 0.0130638i
\(393\) −3.62582e11 6.28011e11i −0.766726 1.32801i
\(394\) −9.82921e10 + 1.70247e11i −0.205488 + 0.355915i
\(395\) 2.17801e11 1.04887e11i 0.450166 0.216789i
\(396\) −5.42746e10 1.67415e10i −0.110909 0.0342110i
\(397\) −1.54607e10 2.06309e11i −0.0312372 0.416832i −0.990800 0.135336i \(-0.956789\pi\)
0.959563 0.281496i \(-0.0908305\pi\)
\(398\) 1.00338e11 + 4.39610e11i 0.200444 + 0.878201i
\(399\) −8.21522e9 + 2.09321e10i −0.0162271 + 0.0413460i
\(400\) 3.88719e9 5.18709e10i 0.00759217 0.101310i
\(401\) −3.38921e11 + 5.10841e10i −0.654559 + 0.0986589i −0.467922 0.883770i \(-0.654997\pi\)
−0.186637 + 0.982429i \(0.559759\pi\)
\(402\) −9.79722e10 9.09049e10i −0.187105 0.173608i
\(403\) 7.63507e11 + 3.67686e11i 1.44192 + 0.694391i
\(404\) 1.88447e11 1.28481e11i 0.351943 0.239951i
\(405\) −1.22460e11 3.12022e11i −0.226176 0.576286i
\(406\) −1.66461e11 + 5.13465e10i −0.304051 + 0.0937873i
\(407\) 2.95393e11 2.74084e11i 0.533611 0.495119i
\(408\) 5.24998e11 6.58327e11i 0.937966 1.17617i
\(409\) −1.63802e11 + 2.05401e11i −0.289444 + 0.362951i −0.905200 0.424986i \(-0.860279\pi\)
0.615756 + 0.787937i \(0.288851\pi\)
\(410\) 3.85956e11 3.58115e11i 0.674544 0.625886i
\(411\) 1.66224e11 5.12734e10i 0.287347 0.0886348i
\(412\) −1.31515e11 3.35095e11i −0.224873 0.572968i
\(413\) 3.52145e11 2.40089e11i 0.595589 0.406066i
\(414\) −2.14871e10 1.03477e10i −0.0359482 0.0173117i
\(415\) 4.82698e11 + 4.47878e11i 0.798839 + 0.741214i
\(416\) −7.37704e11 + 1.11191e11i −1.20771 + 0.182033i
\(417\) 6.80070e10 9.07490e11i 0.110139 1.46970i
\(418\) 1.35035e10 3.44063e10i 0.0216348 0.0551245i
\(419\) −1.46613e11 6.42355e11i −0.232386 1.01815i −0.947654 0.319300i \(-0.896552\pi\)
0.715268 0.698851i \(-0.246305\pi\)
\(420\) 1.68452e10 + 2.24784e11i 0.0264153 + 0.352487i
\(421\) −2.85137e11 8.79530e10i −0.442368 0.136452i 0.0655664 0.997848i \(-0.479115\pi\)
−0.507934 + 0.861396i \(0.669591\pi\)
\(422\) 1.43630e11 6.91683e10i 0.220464 0.106170i
\(423\) 1.05303e10 1.82389e10i 0.0159922 0.0276992i
\(424\) 4.81567e11 + 8.34098e11i 0.723619 + 1.25334i
\(425\) −4.10889e11 2.80139e11i −0.610905 0.416508i
\(426\) 1.56926e11 6.87536e11i 0.230861 1.01147i
\(427\) 4.07021e11 + 6.13485e10i 0.592503 + 0.0893055i
\(428\) −2.49823e11 3.13269e11i −0.359862 0.451253i
\(429\) 1.61122e12 2.29667
\(430\) −2.96132e11 1.91250e11i −0.417713 0.269770i
\(431\) 5.65475e11 0.789343 0.394671 0.918822i \(-0.370858\pi\)
0.394671 + 0.918822i \(0.370858\pi\)
\(432\) 9.94441e10 + 1.24699e11i 0.137373 + 0.172261i
\(433\) 9.90031e11 + 1.49223e11i 1.35348 + 0.204005i 0.785412 0.618974i \(-0.212451\pi\)
0.568072 + 0.822979i \(0.307689\pi\)
\(434\) −1.37039e11 + 6.00406e11i −0.185413 + 0.812346i
\(435\) −1.88475e11 1.28500e11i −0.252378 0.172069i
\(436\) −5.04808e10 8.74353e10i −0.0669017 0.115877i
\(437\) −8.40749e9 + 1.45622e10i −0.0110281 + 0.0191012i
\(438\) −4.16385e11 + 2.00520e11i −0.540582 + 0.260331i
\(439\) −1.02693e12 3.16766e11i −1.31962 0.407050i −0.446603 0.894732i \(-0.647367\pi\)
−0.873022 + 0.487682i \(0.837843\pi\)
\(440\) −8.09333e10 1.07998e12i −0.102941 1.37366i
\(441\) 4.76663e8 + 2.08840e9i 0.000600119 + 0.00262930i
\(442\) 4.16650e11 1.06161e12i 0.519244 1.32301i
\(443\) 3.69382e9 4.92907e10i 0.00455680 0.0608062i −0.994462 0.105098i \(-0.966484\pi\)
0.999019 + 0.0442922i \(0.0141033\pi\)
\(444\) 1.57554e11 2.37475e10i 0.192401 0.0289997i
\(445\) −4.29277e11 3.98311e11i −0.518940 0.481506i
\(446\) 1.43364e9 + 6.90404e8i 0.00171567 + 0.000826222i
\(447\) 9.22726e11 6.29104e11i 1.09317 0.745313i
\(448\) −2.64059e11 6.72813e11i −0.309707 0.789120i
\(449\) −4.44217e11 + 1.37023e11i −0.515806 + 0.159105i −0.541720 0.840559i \(-0.682227\pi\)
0.0259138 + 0.999664i \(0.491750\pi\)
\(450\) 2.62308e10 2.43386e10i 0.0301547 0.0279795i
\(451\) −1.84752e12 + 2.31672e12i −2.10278 + 2.63681i
\(452\) 3.02909e11 3.79835e11i 0.341341 0.428028i
\(453\) −6.96284e11 + 6.46057e11i −0.776863 + 0.720823i
\(454\) −9.25956e11 + 2.85620e11i −1.02291 + 0.315527i
\(455\) 3.26023e11 + 8.30694e11i 0.356613 + 0.908636i
\(456\) 3.52955e10 2.40641e10i 0.0382277 0.0260632i
\(457\) −5.16920e11 2.48936e11i −0.554371 0.266971i 0.135654 0.990756i \(-0.456686\pi\)
−0.690025 + 0.723785i \(0.742401\pi\)
\(458\) 3.54219e11 + 3.28667e11i 0.376164 + 0.349029i
\(459\) 1.50782e12 2.27268e11i 1.58560 0.238990i
\(460\) −1.25966e10 + 1.68089e11i −0.0131172 + 0.175037i
\(461\) −5.55383e11 + 1.41509e12i −0.572714 + 1.45925i 0.291718 + 0.956504i \(0.405773\pi\)
−0.864433 + 0.502748i \(0.832322\pi\)
\(462\) 2.60553e11 + 1.14156e12i 0.266077 + 1.16576i
\(463\) 3.35362e9 + 4.47509e10i 0.00339156 + 0.0452572i 0.998643 0.0520823i \(-0.0165858\pi\)
−0.995251 + 0.0973394i \(0.968967\pi\)
\(464\) 9.08255e10 + 2.80159e10i 0.0909655 + 0.0280591i
\(465\) −7.26575e11 + 3.49900e11i −0.720680 + 0.347061i
\(466\) 1.83389e11 3.17640e11i 0.180151 0.312031i
\(467\) 9.30489e10 + 1.61165e11i 0.0905285 + 0.156800i 0.907734 0.419547i \(-0.137811\pi\)
−0.817205 + 0.576347i \(0.804478\pi\)
\(468\) −7.34598e10 5.00841e10i −0.0707854 0.0482606i
\(469\) −9.27022e10 + 4.06155e11i −0.0884733 + 0.387627i
\(470\) 1.35852e11 + 2.04764e10i 0.128418 + 0.0193559i
\(471\) −5.72001e10 7.17266e10i −0.0535553 0.0671562i
\(472\) −8.09673e11 −0.750880
\(473\) 1.80845e12 + 8.15938e11i 1.66124 + 0.749518i
\(474\) 4.96520e11 0.451787
\(475\) −1.57302e10 1.97250e10i −0.0141779 0.0177785i
\(476\) −8.87926e11 1.33833e11i −0.792767 0.119490i
\(477\) −4.23443e10 + 1.85522e11i −0.0374509 + 0.164083i
\(478\) 6.47453e11 + 4.41426e11i 0.567261 + 0.386752i
\(479\) 5.49574e11 + 9.51890e11i 0.476998 + 0.826184i 0.999653 0.0263600i \(-0.00839162\pi\)
−0.522655 + 0.852544i \(0.675058\pi\)
\(480\) 3.54975e11 6.14835e11i 0.305219 0.528656i
\(481\) 5.68312e11 2.73685e11i 0.484099 0.233130i
\(482\) −7.36201e11 2.27088e11i −0.621277 0.191638i
\(483\) −3.98079e10 5.31200e11i −0.0332818 0.444115i
\(484\) 3.24316e11 + 1.42092e12i 0.268636 + 1.17697i
\(485\) −4.27530e11 + 1.08933e12i −0.350856 + 0.893966i
\(486\) −1.55042e10 + 2.06889e11i −0.0126063 + 0.168219i
\(487\) −7.90105e11 + 1.19089e11i −0.636509 + 0.0959383i −0.459366 0.888247i \(-0.651924\pi\)
−0.177143 + 0.984185i \(0.556685\pi\)
\(488\) −5.73221e11 5.31871e11i −0.457544 0.424539i
\(489\) −1.77011e12 8.52440e11i −1.39994 0.674177i
\(490\) −1.15457e10 + 7.87174e9i −0.00904771 + 0.00616862i
\(491\) −8.71364e11 2.22020e12i −0.676601 1.72395i −0.689759 0.724039i \(-0.742284\pi\)
0.0131576 0.999913i \(-0.495812\pi\)
\(492\) −1.11961e12 + 3.45353e11i −0.861436 + 0.265718i
\(493\) 6.66126e11 6.18075e11i 0.507862 0.471227i
\(494\) 3.60735e10 4.52347e10i 0.0272532 0.0341744i
\(495\) 1.33413e11 1.67295e11i 0.0998792 0.125245i
\(496\) 2.46321e11 2.28552e11i 0.182740 0.169558i
\(497\) −2.10057e12 + 6.47941e11i −1.54431 + 0.476356i
\(498\) 4.94112e11 + 1.25898e12i 0.359992 + 0.917246i
\(499\) 3.52995e11 2.40668e11i 0.254868 0.173766i −0.429145 0.903235i \(-0.641185\pi\)
0.684014 + 0.729469i \(0.260233\pi\)
\(500\) −6.97835e11 3.36060e11i −0.499330 0.240465i
\(501\) −1.18353e12 1.09816e12i −0.839286 0.778744i
\(502\) 5.34129e11 8.05070e10i 0.375387 0.0565805i
\(503\) 9.95407e10 1.32828e12i 0.0693338 0.925195i −0.848746 0.528800i \(-0.822642\pi\)
0.918080 0.396395i \(-0.129739\pi\)
\(504\) 6.89979e10 1.75804e11i 0.0476320 0.121364i
\(505\) 1.91201e11 + 8.37707e11i 0.130822 + 0.573167i
\(506\) 6.54328e10 + 8.73140e11i 0.0443729 + 0.592116i
\(507\) 1.07830e12 + 3.32612e11i 0.724777 + 0.223564i
\(508\) 4.58373e11 2.20741e11i 0.305374 0.147060i
\(509\) −7.36069e10 + 1.27491e11i −0.0486059 + 0.0841878i −0.889305 0.457315i \(-0.848811\pi\)
0.840699 + 0.541503i \(0.182144\pi\)
\(510\) 5.42639e11 + 9.39878e11i 0.355177 + 0.615185i
\(511\) 1.19026e12 + 8.11505e11i 0.772232 + 0.526499i
\(512\) −1.42176e11 + 6.22915e11i −0.0914349 + 0.400603i
\(513\) 7.64955e10 + 1.15298e10i 0.0487649 + 0.00735013i
\(514\) −2.04183e11 2.56037e11i −0.129028 0.161796i
\(515\) 1.35617e12 0.849534
\(516\) 4.09077e11 + 6.69380e11i 0.254028 + 0.415670i
\(517\) −7.73215e11 −0.475984
\(518\) 2.85809e11 + 3.58393e11i 0.174418 + 0.218713i
\(519\) 7.66525e10 + 1.15535e10i 0.0463738 + 0.00698973i
\(520\) 3.77237e11 1.65278e12i 0.226255 0.991290i
\(521\) −2.29733e12 1.56629e12i −1.36601 0.931329i −1.00000 0.000716961i \(-0.999772\pi\)
−0.366008 0.930612i \(-0.619276\pi\)
\(522\) 3.26927e10 + 5.66253e10i 0.0192723 + 0.0333806i
\(523\) 5.15414e11 8.92723e11i 0.301230 0.521746i −0.675185 0.737649i \(-0.735936\pi\)
0.976415 + 0.215903i \(0.0692694\pi\)
\(524\) 1.32363e12 6.37426e11i 0.766965 0.369351i
\(525\) 7.63740e11 + 2.35583e11i 0.438762 + 0.135340i
\(526\) −1.78964e10 2.38811e11i −0.0101937 0.136025i
\(527\) −7.14851e11 3.13197e12i −0.403708 1.76876i
\(528\) 2.33409e11 5.94716e11i 0.130697 0.333010i
\(529\) −1.04833e11 + 1.39889e12i −0.0582031 + 0.776666i
\(530\) −1.22750e12 + 1.85015e11i −0.675739 + 0.101851i
\(531\) −1.17269e11 1.08809e11i −0.0640113 0.0593938i
\(532\) −4.10441e10 1.97658e10i −0.0222151 0.0106982i
\(533\) −3.83245e12 + 2.61292e12i −2.05686 + 1.40234i
\(534\) −4.39427e11 1.11964e12i −0.233858 0.595859i
\(535\) 1.44246e12 4.44940e11i 0.761223 0.234806i
\(536\) 5.80159e11 5.38309e11i 0.303602 0.281702i
\(537\) −1.32347e12 + 1.65958e12i −0.686798 + 0.861218i
\(538\) −1.41849e12 + 1.77873e12i −0.729972 + 0.915356i
\(539\) 5.76509e10 5.34923e10i 0.0294210 0.0272987i
\(540\) 7.41033e11 2.28578e11i 0.375030 0.115681i
\(541\) −1.20375e12 3.06711e12i −0.604156 1.53936i −0.825639 0.564199i \(-0.809185\pi\)
0.221483 0.975164i \(-0.428910\pi\)
\(542\) 1.34972e12 9.20224e11i 0.671811 0.458033i
\(543\) 9.03474e11 + 4.35090e11i 0.445981 + 0.214773i
\(544\) 2.07318e12 + 1.92363e12i 1.01494 + 0.941729i
\(545\) 3.76110e11 5.66894e10i 0.182612 0.0275244i
\(546\) −1.36972e11 + 1.82777e12i −0.0659576 + 0.880143i
\(547\) 5.53032e11 1.40910e12i 0.264124 0.672976i −0.735868 0.677125i \(-0.763226\pi\)
0.999991 + 0.00414922i \(0.00132074\pi\)
\(548\) 7.84191e10 + 3.43576e11i 0.0371458 + 0.162746i
\(549\) −1.15457e10 1.54067e11i −0.00542431 0.0723824i
\(550\) −1.25537e12 3.87230e11i −0.584978 0.180442i
\(551\) 4.15353e10 2.00024e10i 0.0191971 0.00924483i
\(552\) −5.05984e11 + 8.76390e11i −0.231959 + 0.401765i
\(553\) −7.73851e11 1.34035e12i −0.351880 0.609474i
\(554\) 1.00680e12 + 6.86423e11i 0.454097 + 0.309598i
\(555\) −1.33572e11 + 5.85217e11i −0.0597581 + 0.261817i
\(556\) 1.82305e12 + 2.74781e11i 0.809027 + 0.121941i
\(557\) 2.40145e12 + 3.01133e12i 1.05712 + 1.32559i 0.943246 + 0.332096i \(0.107756\pi\)
0.113878 + 0.993495i \(0.463673\pi\)
\(558\) 2.31155e11 0.100937
\(559\) 2.32862e12 + 2.05490e12i 1.00866 + 0.890096i
\(560\) 3.53845e11 0.152043
\(561\) −3.80826e12 4.77540e12i −1.62328 2.03553i
\(562\) −1.69259e12 2.55117e11i −0.715712 0.107876i
\(563\) −1.88400e11 + 8.25434e11i −0.0790302 + 0.346254i −0.998948 0.0458574i \(-0.985398\pi\)
0.919918 + 0.392111i \(0.128255\pi\)
\(564\) −2.52609e11 1.72226e11i −0.105122 0.0716707i
\(565\) 9.15143e11 + 1.58507e12i 0.377808 + 0.654382i
\(566\) 6.11025e11 1.05833e12i 0.250256 0.433456i
\(567\) −1.93349e12 + 9.31119e11i −0.785630 + 0.378339i
\(568\) 3.99053e12 + 1.23092e12i 1.60866 + 0.496205i
\(569\) 9.33079e10 + 1.24511e12i 0.0373176 + 0.497968i 0.984279 + 0.176621i \(0.0565166\pi\)
−0.946961 + 0.321347i \(0.895864\pi\)
\(570\) 1.22517e10 + 5.36783e10i 0.00486139 + 0.0212991i
\(571\) 1.43335e12 3.65213e12i 0.564275 1.43775i −0.309254 0.950979i \(-0.600079\pi\)
0.873530 0.486771i \(-0.161825\pi\)
\(572\) −2.43933e11 + 3.25506e12i −0.0952772 + 1.27139i
\(573\) 1.32455e12 1.99644e11i 0.513302 0.0773678i
\(574\) −2.47101e12 2.29276e12i −0.950105 0.881568i
\(575\) 5.38476e11 + 2.59317e11i 0.205429 + 0.0989293i
\(576\) −2.24150e11 + 1.52823e11i −0.0848473 + 0.0578479i
\(577\) −7.71793e11 1.96650e12i −0.289874 0.738587i −0.999424 0.0339322i \(-0.989197\pi\)
0.709550 0.704655i \(-0.248898\pi\)
\(578\) −2.35480e12 + 7.26358e11i −0.877562 + 0.270692i
\(579\) 1.63025e12 1.51265e12i 0.602837 0.559351i
\(580\) 2.88136e11 3.61311e11i 0.105723 0.132573i
\(581\) 2.62850e12 3.29603e12i 0.957006 1.20005i
\(582\) −1.76193e12 + 1.63483e12i −0.636554 + 0.590636i
\(583\) 6.67604e12 2.05929e12i 2.39337 0.738258i
\(584\) −9.99833e11 2.54753e12i −0.355688 0.906279i
\(585\) 2.76749e11 1.88684e11i 0.0976979 0.0666093i
\(586\) 1.45784e12 + 7.02057e11i 0.510704 + 0.245942i
\(587\) 7.12535e11 + 6.61136e11i 0.247705 + 0.229837i 0.794247 0.607595i \(-0.207866\pi\)
−0.546542 + 0.837432i \(0.684056\pi\)
\(588\) 3.07494e10 4.63472e9i 0.0106081 0.00159892i
\(589\) 1.21794e10 1.62523e11i 0.00416972 0.0556411i
\(590\) 3.81259e11 9.71433e11i 0.129535 0.330049i
\(591\) 3.66737e11 + 1.60678e12i 0.123655 + 0.541767i
\(592\) −1.86911e10 2.49416e11i −0.00625443 0.0834596i
\(593\) −3.39413e12 1.04695e12i −1.12715 0.347681i −0.325542 0.945527i \(-0.605547\pi\)
−0.801610 + 0.597847i \(0.796023\pi\)
\(594\) 3.62934e12 1.74780e12i 1.19616 0.576039i
\(595\) 1.69146e12 2.92969e12i 0.553268 0.958288i
\(596\) 1.13125e12 + 1.95938e12i 0.367239 + 0.636077i
\(597\) 3.12346e12 + 2.12954e12i 1.00636 + 0.686122i
\(598\) −3.04988e11 + 1.33624e12i −0.0975275 + 0.427296i
\(599\) −1.07249e12 1.61652e11i −0.340388 0.0513052i −0.0233759 0.999727i \(-0.507441\pi\)
−0.317012 + 0.948422i \(0.602680\pi\)
\(600\) −9.46682e11 1.18710e12i −0.298211 0.373945i
\(601\) −1.31874e12 −0.412310 −0.206155 0.978519i \(-0.566095\pi\)
−0.206155 + 0.978519i \(0.566095\pi\)
\(602\) −1.07934e12 + 1.98213e12i −0.334944 + 0.615104i
\(603\) 1.56369e11 0.0481639
\(604\) −1.19978e12 1.50447e12i −0.366804 0.459958i
\(605\) −5.42945e12 8.18358e11i −1.64762 0.248338i
\(606\) −3.92714e11 + 1.72059e12i −0.118290 + 0.518264i
\(607\) 1.67963e12 + 1.14515e12i 0.502184 + 0.342384i 0.787770 0.615970i \(-0.211236\pi\)
−0.285585 + 0.958353i \(0.592188\pi\)
\(608\) 7.17393e10 + 1.24256e11i 0.0212908 + 0.0368767i
\(609\) −7.30223e11 + 1.26478e12i −0.215118 + 0.372596i
\(610\) 9.08049e11 4.37294e11i 0.265537 0.127876i
\(611\) −1.15658e12 3.56758e11i −0.335730 0.103559i
\(612\) 2.51873e10 + 3.36101e11i 0.00725771 + 0.0968474i
\(613\) −3.78120e11 1.65665e12i −0.108158 0.473870i −0.999778 0.0210854i \(-0.993288\pi\)
0.891620 0.452785i \(-0.149569\pi\)
\(614\) 4.97475e11 1.26755e12i 0.141258 0.359920i
\(615\) 3.29863e11 4.40172e12i 0.0929814 1.24075i
\(616\) −6.85631e12 + 1.03342e12i −1.91857 + 0.289178i
\(617\) 2.26446e12 + 2.10111e12i 0.629044 + 0.583668i 0.928906 0.370315i \(-0.120750\pi\)
−0.299862 + 0.953983i \(0.596941\pi\)
\(618\) 2.50963e12 + 1.20857e12i 0.692088 + 0.333292i
\(619\) 9.83652e11 6.70643e11i 0.269298 0.183605i −0.421140 0.906996i \(-0.638370\pi\)
0.690439 + 0.723391i \(0.257418\pi\)
\(620\) −5.96883e11 1.52083e12i −0.162228 0.413351i
\(621\) −1.75118e12 + 5.40167e11i −0.472518 + 0.145752i
\(622\) −2.05639e12 + 1.90805e12i −0.550869 + 0.511131i
\(623\) −2.33759e12 + 2.93125e12i −0.621688 + 0.779573i
\(624\) 6.23534e11 7.81887e11i 0.164638 0.206449i
\(625\) 7.83212e11 7.26715e11i 0.205314 0.190504i
\(626\) −1.73479e12 + 5.35111e11i −0.451504 + 0.139270i
\(627\) −1.13209e11 2.88452e11i −0.0292535 0.0745366i
\(628\) 1.53565e11 1.04699e11i 0.0393980 0.0268611i
\(629\) −2.15441e12 1.03751e12i −0.548782 0.264280i
\(630\) 1.78437e11 + 1.65565e11i 0.0451286 + 0.0418732i
\(631\) −5.63939e11 + 8.50001e10i −0.141612 + 0.0213446i −0.219466 0.975620i \(-0.570431\pi\)
0.0778537 + 0.996965i \(0.475193\pi\)
\(632\) −2.19723e11 + 2.93200e12i −0.0547834 + 0.731034i
\(633\) 4.88279e11 1.24411e12i 0.120879 0.307995i
\(634\) −4.79837e11 2.10230e12i −0.117948 0.516766i
\(635\) 1.43232e11 + 1.91130e12i 0.0349591 + 0.466496i
\(636\) 2.63974e12 + 8.14252e11i 0.639741 + 0.197334i
\(637\) 1.10916e11 5.34142e10i 0.0266911 0.0128537i
\(638\) 1.20028e12 2.07894e12i 0.286806 0.496763i
\(639\) 4.12548e11 + 7.14554e11i 0.0978860 + 0.169544i
\(640\) 8.22981e11 + 5.61099e11i 0.193901 + 0.132199i
\(641\) −6.68768e11 + 2.93007e12i −0.156464 + 0.685514i 0.834457 + 0.551072i \(0.185781\pi\)
−0.990922 + 0.134441i \(0.957076\pi\)
\(642\) 3.06583e12 + 4.62100e11i 0.712264 + 0.107356i
\(643\) −5.73948e11 7.19708e11i −0.132411 0.166038i 0.711206 0.702984i \(-0.248149\pi\)
−0.843617 + 0.536946i \(0.819578\pi\)
\(644\) 1.07918e12 0.247233
\(645\) −2.91051e12 + 5.13292e11i −0.662141 + 0.116774i
\(646\) −2.19331e11 −0.0495512
\(647\) −1.64416e11 2.06171e11i −0.0368870 0.0462549i 0.763046 0.646344i \(-0.223703\pi\)
−0.799933 + 0.600090i \(0.795132\pi\)
\(648\) 4.03132e12 + 6.07623e11i 0.898172 + 0.135378i
\(649\) −1.30692e12 + 5.72599e12i −0.289166 + 1.26692i
\(650\) −1.69912e12 1.15844e12i −0.373349 0.254545i
\(651\) 2.58153e12 + 4.47135e12i 0.563331 + 0.975718i
\(652\) 1.99012e12 3.44700e12i 0.431287 0.747011i
\(653\) −7.35069e12 + 3.53991e12i −1.58205 + 0.761873i −0.998730 0.0503730i \(-0.983959\pi\)
−0.583315 + 0.812246i \(0.698245\pi\)
\(654\) 7.46522e11 + 2.30272e11i 0.159567 + 0.0492199i
\(655\) 4.13608e11 + 5.51921e12i 0.0878017 + 1.17163i
\(656\) 4.09266e11 + 1.79311e12i 0.0862855 + 0.378042i
\(657\) 1.97545e11 5.03335e11i 0.0413638 0.105393i
\(658\) 6.57319e10 8.77131e11i 0.0136697 0.182410i
\(659\) 2.08626e11 3.14452e10i 0.0430907 0.00649487i −0.127462 0.991844i \(-0.540683\pi\)
0.170552 + 0.985349i \(0.445445\pi\)
\(660\) −2.27708e12 2.11282e12i −0.467122 0.433425i
\(661\) −2.58715e11 1.24590e11i −0.0527126 0.0253850i 0.407342 0.913276i \(-0.366456\pi\)
−0.460054 + 0.887891i \(0.652170\pi\)
\(662\) 8.17644e11 5.57460e11i 0.165464 0.112811i
\(663\) −3.49307e12 8.90020e12i −0.702096 1.78891i
\(664\) −7.65305e12 + 2.36065e12i −1.52784 + 0.471277i
\(665\) 1.25809e11 1.16734e11i 0.0249468 0.0231472i
\(666\) 1.07277e11 1.34521e11i 0.0211286 0.0264945i
\(667\) −6.80910e11 + 8.53834e11i −0.133206 + 0.167035i
\(668\) 2.39773e12 2.22477e12i 0.465914 0.432305i
\(669\) 1.27476e10 3.93212e9i 0.00246044 0.000758944i
\(670\) 3.72669e11 + 9.49544e11i 0.0714474 + 0.182045i
\(671\) −4.68664e12 + 3.19530e12i −0.892504 + 0.608499i
\(672\) −4.09520e12 1.97214e12i −0.774663 0.373058i
\(673\) −2.01478e12 1.86944e12i −0.378582 0.351272i 0.467814 0.883827i \(-0.345042\pi\)
−0.846396 + 0.532554i \(0.821232\pi\)
\(674\) −5.25268e11 + 7.91715e10i −0.0980419 + 0.0147774i
\(675\) 2.05480e11 2.74194e12i 0.0380981 0.508383i
\(676\) −8.35207e11 + 2.12807e12i −0.153828 + 0.391946i
\(677\) −1.61167e12 7.06118e12i −0.294867 1.29190i −0.877663 0.479279i \(-0.840898\pi\)
0.582795 0.812619i \(-0.301959\pi\)
\(678\) 2.80931e11 + 3.74877e12i 0.0510584 + 0.681326i
\(679\) 7.15927e12 + 2.20834e12i 1.29257 + 0.398706i
\(680\) −5.79021e12 + 2.78842e12i −1.03849 + 0.500113i
\(681\) −4.06193e12 + 7.03547e12i −0.723719 + 1.25352i
\(682\) −4.24330e12 7.34962e12i −0.751060 1.30087i
\(683\) 1.49216e12 + 1.01734e12i 0.262375 + 0.178884i 0.687362 0.726315i \(-0.258769\pi\)
−0.424987 + 0.905200i \(0.639721\pi\)
\(684\) −3.80489e9 + 1.66703e10i −0.000664645 + 0.00291200i
\(685\) −1.31283e12 1.97878e11i −0.227825 0.0343391i
\(686\) −2.47716e12 3.10626e12i −0.427067 0.535525i
\(687\) 4.05110e12 0.693853
\(688\) 1.09581e12 5.61832e11i 0.186461 0.0956002i
\(689\) 1.09362e13 1.84876
\(690\) −8.13221e11 1.01975e12i −0.136580 0.171266i
\(691\) −2.20888e12 3.32935e11i −0.368571 0.0555531i −0.0378542 0.999283i \(-0.512052\pi\)
−0.330716 + 0.943730i \(0.607290\pi\)
\(692\) −3.49458e10 + 1.53107e11i −0.00579318 + 0.0253816i
\(693\) −1.13191e12 7.71723e11i −0.186428 0.127105i
\(694\) −3.03922e11 5.26409e11i −0.0497331 0.0861402i
\(695\) −3.47283e12 + 6.01513e12i −0.564615 + 0.977942i
\(696\) 2.49970e12 1.20379e12i 0.403782 0.194451i
\(697\) 1.68026e13 + 5.18291e12i 2.69668 + 0.831814i
\(698\) 2.87308e11 + 3.83385e12i 0.0458139 + 0.611345i
\(699\) −6.84244e11 2.99787e12i −0.108409 0.474969i
\(700\) −5.91561e11 + 1.50727e12i −0.0931234 + 0.237274i
\(701\) −2.64531e11 + 3.52992e12i −0.0413757 + 0.552120i 0.937543 + 0.347869i \(0.113095\pi\)
−0.978919 + 0.204250i \(0.934524\pi\)
\(702\) 6.23521e12 9.39807e11i 0.969023 0.146057i
\(703\) −8.89280e10 8.25131e10i −0.0137322 0.0127416i
\(704\) 8.97377e12 + 4.32154e12i 1.37689 + 0.663073i
\(705\) 9.51667e11 6.48835e11i 0.145089 0.0989198i
\(706\) 2.55924e11 + 6.52082e11i 0.0387694 + 0.0987828i
\(707\) 5.25679e12 1.62150e12i 0.791285 0.244079i
\(708\) −1.70238e12 + 1.57957e12i −0.254628 + 0.236260i
\(709\) −4.80357e12 + 6.02349e12i −0.713931 + 0.895241i −0.997977 0.0635695i \(-0.979752\pi\)
0.284047 + 0.958810i \(0.408323\pi\)
\(710\) −3.35590e12 + 4.20816e12i −0.495617 + 0.621484i
\(711\) −4.25846e11 + 3.95127e11i −0.0624941 + 0.0579861i
\(712\) 6.80607e12 2.09939e12i 0.992513 0.306150i
\(713\) 1.41053e12 + 3.59397e12i 0.204399 + 0.520800i
\(714\) 5.74094e12 3.91411e12i 0.826687 0.563626i
\(715\) −1.10795e13 5.33563e12i −1.58542 0.763499i
\(716\) −3.15238e12 2.92498e12i −0.448260 0.415924i
\(717\) 6.49621e12 9.79146e11i 0.917960 0.138360i
\(718\) 3.52544e11 4.70437e12i 0.0495054 0.660604i
\(719\) −1.42997e12 + 3.64351e12i −0.199548 + 0.508440i −0.995262 0.0972332i \(-0.969001\pi\)
0.795714 + 0.605673i \(0.207096\pi\)
\(720\) −2.95539e10 1.29484e11i −0.00409844 0.0179564i
\(721\) −6.48852e11 8.65833e12i −0.0894205 1.19323i
\(722\) 4.82317e12 + 1.48775e12i 0.660564 + 0.203757i
\(723\) −5.81940e12 + 2.80248e12i −0.792056 + 0.381434i
\(724\) −1.01577e12 + 1.75937e12i −0.137395 + 0.237976i
\(725\) −8.19291e11 1.41905e12i −0.110133 0.190756i
\(726\) −9.31806e12 6.35294e12i −1.24483 0.848712i
\(727\) 3.04132e12 1.33249e13i 0.403792 1.76913i −0.208020 0.978124i \(-0.566702\pi\)
0.611812 0.791003i \(-0.290441\pi\)
\(728\) −1.07325e13 1.61767e12i −1.41616 0.213451i
\(729\) 5.18539e12 + 6.50228e12i 0.679998 + 0.852691i
\(730\) 3.52729e12 0.459715
\(731\) 5.86491e11 1.17586e13i 0.0759684 1.52309i
\(732\) −2.24284e12 −0.288735
\(733\) 8.18856e12 + 1.02681e13i 1.04771 + 1.31378i 0.947827 + 0.318784i \(0.103274\pi\)
0.0998797 + 0.995000i \(0.468154\pi\)
\(734\) −1.20074e12 1.80982e11i −0.152692 0.0230146i
\(735\) −2.60688e10 + 1.14215e11i −0.00329480 + 0.0144355i
\(736\) −2.80831e12 1.91468e12i −0.352773 0.240517i
\(737\) −2.87046e12 4.97178e12i −0.358383 0.620737i
\(738\) −6.32617e11 + 1.09572e12i −0.0785031 + 0.135971i
\(739\) 4.46430e12 2.14989e12i 0.550622 0.265165i −0.137820 0.990457i \(-0.544009\pi\)
0.688442 + 0.725292i \(0.258295\pi\)
\(740\) −1.16206e12 3.58447e11i −0.142457 0.0439423i
\(741\) −3.62485e10 4.83703e11i −0.00441680 0.0589381i
\(742\) 1.76851e12 + 7.74833e12i 0.214185 + 0.938406i
\(743\) −3.62582e12 + 9.23844e12i −0.436472 + 1.11211i 0.528307 + 0.849053i \(0.322827\pi\)
−0.964779 + 0.263060i \(0.915268\pi\)
\(744\) 7.32987e11 9.78104e12i 0.0877038 1.17033i
\(745\) −8.42841e12 + 1.27038e12i −1.00240 + 0.151088i
\(746\) 3.13108e12 + 2.90521e12i 0.370142 + 0.343442i
\(747\) −1.42567e12 6.86565e11i −0.167523 0.0806750i
\(748\) 1.02240e13 6.97063e12i 1.19417 0.814169i
\(749\) −3.53082e12 8.99639e12i −0.409928 1.04448i