Properties

Label 43.10.c.a.6.15
Level 43
Weight 10
Character 43.6
Analytic conductor 22.147
Analytic rank 0
Dimension 64
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 6.15
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.15

$q$-expansion

\(f(q)\) \(=\) \(q-7.29691 q^{2} +(-0.107179 + 0.185640i) q^{3} -458.755 q^{4} +(1142.50 - 1978.86i) q^{5} +(0.782078 - 1.35460i) q^{6} +(-5889.33 - 10200.6i) q^{7} +7083.52 q^{8} +(9841.48 + 17045.9i) q^{9} +O(q^{10})\) \(q-7.29691 q^{2} +(-0.107179 + 0.185640i) q^{3} -458.755 q^{4} +(1142.50 - 1978.86i) q^{5} +(0.782078 - 1.35460i) q^{6} +(-5889.33 - 10200.6i) q^{7} +7083.52 q^{8} +(9841.48 + 17045.9i) q^{9} +(-8336.70 + 14439.6i) q^{10} +24167.2 q^{11} +(49.1690 - 85.1632i) q^{12} +(-6025.36 - 10436.2i) q^{13} +(42974.0 + 74433.1i) q^{14} +(244.904 + 424.186i) q^{15} +183195. q^{16} +(-302170. - 523375. i) q^{17} +(-71812.4 - 124383. i) q^{18} +(-296845. + 514150. i) q^{19} +(-524126. + 907814. i) q^{20} +2524.86 q^{21} -176346. q^{22} +(232004. - 401842. i) q^{23} +(-759.206 + 1314.98i) q^{24} +(-1.63404e6 - 2.83024e6i) q^{25} +(43966.6 + 76152.3i) q^{26} -8438.43 q^{27} +(2.70176e6 + 4.67959e6i) q^{28} +(-714164. - 1.23697e6i) q^{29} +(-1787.04 - 3095.25i) q^{30} +(-3.09357e6 + 5.35821e6i) q^{31} -4.96352e6 q^{32} +(-2590.22 + 4486.40i) q^{33} +(2.20491e6 + 3.81902e6i) q^{34} -2.69142e7 q^{35} +(-4.51483e6 - 7.81991e6i) q^{36} +(-7.27165e6 + 1.25949e7i) q^{37} +(2.16605e6 - 3.75171e6i) q^{38} +2583.18 q^{39} +(8.09290e6 - 1.40173e7i) q^{40} -3.11049e7 q^{41} -18423.7 q^{42} +(1.97701e7 - 1.05706e7i) q^{43} -1.10868e7 q^{44} +4.49754e7 q^{45} +(-1.69291e6 + 2.93221e6i) q^{46} +3.11810e7 q^{47} +(-19634.7 + 34008.3i) q^{48} +(-4.91917e7 + 8.52025e7i) q^{49} +(1.19234e7 + 2.06520e7i) q^{50} +129546. q^{51} +(2.76417e6 + 4.78768e6i) q^{52} +(3.06638e7 - 5.31113e7i) q^{53} +61574.5 q^{54} +(2.76110e7 - 4.78236e7i) q^{55} +(-4.17172e7 - 7.22563e7i) q^{56} +(-63631.2 - 110212. i) q^{57} +(5.21119e6 + 9.02605e6i) q^{58} -1.40505e7 q^{59} +(-112351. - 194598. i) q^{60} +(4.27646e7 + 7.40705e7i) q^{61} +(2.25735e7 - 3.90984e7i) q^{62} +(1.15919e8 - 2.00778e8i) q^{63} -5.75774e7 q^{64} -2.75358e7 q^{65} +(18900.6 - 32736.9i) q^{66} +(-2.84713e7 + 4.93137e7i) q^{67} +(1.38622e8 + 2.40101e8i) q^{68} +(49732.0 + 86138.3i) q^{69} +1.96391e8 q^{70} +(-5.05815e7 - 8.76096e7i) q^{71} +(6.97123e7 + 1.20745e8i) q^{72} +(1.87812e8 + 3.25301e8i) q^{73} +(5.30606e7 - 9.19036e7i) q^{74} +700540. q^{75} +(1.36179e8 - 2.35869e8i) q^{76} +(-1.42329e8 - 2.46521e8i) q^{77} -18849.2 q^{78} +(2.59061e7 + 4.48707e7i) q^{79} +(2.09300e8 - 3.62517e8i) q^{80} +(-1.93709e8 + 3.35514e8i) q^{81} +2.26970e8 q^{82} +(2.56642e8 - 4.44517e8i) q^{83} -1.15829e6 q^{84} -1.38092e9 q^{85} +(-1.44260e8 + 7.71325e7i) q^{86} +306174. q^{87} +1.71189e8 q^{88} +(1.95232e6 - 3.38152e6i) q^{89} -3.28182e8 q^{90} +(-7.09707e7 + 1.22925e8i) q^{91} +(-1.06433e8 + 1.84347e8i) q^{92} +(-663132. - 1.14858e6i) q^{93} -2.27525e8 q^{94} +(6.78288e8 + 1.17483e9i) q^{95} +(531986. - 921427. i) q^{96} -1.04675e9 q^{97} +(3.58947e8 - 6.21715e8i) q^{98} +(2.37841e8 + 4.11953e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} + O(q^{10}) \) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} - 6237q^{10} - 180682q^{11} + 274344q^{12} + 115245q^{13} - 171208q^{14} + 138833q^{15} + 4289206q^{16} + 65180q^{17} + 603985q^{18} + 39150q^{19} - 2709775q^{20} - 3105162q^{21} + 598456q^{22} + 1285907q^{23} - 292550q^{24} - 14709917q^{25} + 5332695q^{26} - 20118002q^{27} - 5475298q^{28} + 1274091q^{29} + 28424751q^{30} + 2899781q^{31} - 16322030q^{32} + 30668912q^{33} + 6822099q^{34} - 14750922q^{35} - 113819232q^{36} - 13772217q^{37} + 2700532q^{38} + 49876982q^{39} - 55802359q^{40} + 5375394q^{41} - 62768266q^{42} - 4250879q^{43} - 125171958q^{44} + 74719384q^{45} - 91405220q^{46} + 46104596q^{47} + 294588191q^{48} - 233221733q^{49} + 380339342q^{50} + 229598406q^{51} + 166281612q^{52} + 125396641q^{53} - 137752484q^{54} + 139471854q^{55} + 41104589q^{56} - 289586721q^{57} - 183782516q^{58} - 637949078q^{59} - 70735747q^{60} - 95573327q^{61} + 181277053q^{62} + 226632970q^{63} + 712599660q^{64} - 498753718q^{65} - 349240445q^{66} - 276270786q^{67} + 1034771928q^{68} - 199705103q^{69} + 1780847990q^{70} + 651945247q^{71} - 270063054q^{72} - 182725322q^{73} - 193737672q^{74} - 3155252572q^{75} + 492133584q^{76} + 216024528q^{77} + 2562586420q^{78} - 376932221q^{79} - 783129021q^{80} - 2146956496q^{81} + 2373824428q^{82} + 1008544071q^{83} - 9413139208q^{84} - 1131353054q^{85} - 1641459050q^{86} + 5060470018q^{87} + 369936980q^{88} + 2244184366q^{89} + 3302428348q^{90} + 3951711q^{91} + 4361095637q^{92} + 3133616089q^{93} + 3002217406q^{94} + 1515822931q^{95} + 69408612q^{96} - 6951085934q^{97} + 1120193981q^{98} + 1264470179q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7.29691 −0.322481 −0.161241 0.986915i \(-0.551549\pi\)
−0.161241 + 0.986915i \(0.551549\pi\)
\(3\) −0.107179 + 0.185640i −0.000763950 + 0.00132320i −0.866407 0.499338i \(-0.833577\pi\)
0.865643 + 0.500661i \(0.166910\pi\)
\(4\) −458.755 −0.896006
\(5\) 1142.50 1978.86i 0.817505 1.41596i −0.0900109 0.995941i \(-0.528690\pi\)
0.907515 0.420019i \(-0.137976\pi\)
\(6\) 0.782078 1.35460i 0.000246359 0.000426707i
\(7\) −5889.33 10200.6i −0.927097 1.60578i −0.788154 0.615478i \(-0.788963\pi\)
−0.138942 0.990300i \(-0.544370\pi\)
\(8\) 7083.52 0.611426
\(9\) 9841.48 + 17045.9i 0.499999 + 0.866023i
\(10\) −8336.70 + 14439.6i −0.263630 + 0.456620i
\(11\) 24167.2 0.497691 0.248845 0.968543i \(-0.419949\pi\)
0.248845 + 0.968543i \(0.419949\pi\)
\(12\) 49.1690 85.1632i 0.000684504 0.00118560i
\(13\) −6025.36 10436.2i −0.0585111 0.101344i 0.835286 0.549815i \(-0.185302\pi\)
−0.893797 + 0.448471i \(0.851969\pi\)
\(14\) 42974.0 + 74433.1i 0.298971 + 0.517833i
\(15\) 244.904 + 424.186i 0.00124907 + 0.00216344i
\(16\) 183195. 0.698833
\(17\) −302170. 523375.i −0.877469 1.51982i −0.854109 0.520094i \(-0.825897\pi\)
−0.0233600 0.999727i \(-0.507436\pi\)
\(18\) −71812.4 124383.i −0.161240 0.279276i
\(19\) −296845. + 514150.i −0.522562 + 0.905104i 0.477093 + 0.878853i \(0.341690\pi\)
−0.999655 + 0.0262516i \(0.991643\pi\)
\(20\) −524126. + 907814.i −0.732489 + 1.26871i
\(21\) 2524.86 0.00283302
\(22\) −176346. −0.160496
\(23\) 232004. 401842.i 0.172870 0.299420i −0.766552 0.642182i \(-0.778029\pi\)
0.939422 + 0.342763i \(0.111363\pi\)
\(24\) −759.206 + 1314.98i −0.000467099 + 0.000809039i
\(25\) −1.63404e6 2.83024e6i −0.836627 1.44908i
\(26\) 43966.6 + 76152.3i 0.0188687 + 0.0326816i
\(27\) −8438.43 −0.00305580
\(28\) 2.70176e6 + 4.67959e6i 0.830684 + 1.43879i
\(29\) −714164. 1.23697e6i −0.187502 0.324764i 0.756915 0.653514i \(-0.226706\pi\)
−0.944417 + 0.328750i \(0.893373\pi\)
\(30\) −1787.04 3095.25i −0.000402800 0.000697670i
\(31\) −3.09357e6 + 5.35821e6i −0.601633 + 1.04206i 0.390941 + 0.920416i \(0.372150\pi\)
−0.992574 + 0.121643i \(0.961184\pi\)
\(32\) −4.96352e6 −0.836786
\(33\) −2590.22 + 4486.40i −0.000380211 + 0.000658544i
\(34\) 2.20491e6 + 3.81902e6i 0.282967 + 0.490114i
\(35\) −2.69142e7 −3.03162
\(36\) −4.51483e6 7.81991e6i −0.448002 0.775962i
\(37\) −7.27165e6 + 1.25949e7i −0.637860 + 1.10481i 0.348042 + 0.937479i \(0.386847\pi\)
−0.985902 + 0.167326i \(0.946487\pi\)
\(38\) 2.16605e6 3.75171e6i 0.168516 0.291879i
\(39\) 2583.18 0.000178798
\(40\) 8.09290e6 1.40173e7i 0.499844 0.865754i
\(41\) −3.11049e7 −1.71910 −0.859550 0.511052i \(-0.829256\pi\)
−0.859550 + 0.511052i \(0.829256\pi\)
\(42\) −18423.7 −0.000913596
\(43\) 1.97701e7 1.05706e7i 0.881861 0.471509i
\(44\) −1.10868e7 −0.445934
\(45\) 4.49754e7 1.63501
\(46\) −1.69291e6 + 2.93221e6i −0.0557473 + 0.0965572i
\(47\) 3.11810e7 0.932074 0.466037 0.884765i \(-0.345681\pi\)
0.466037 + 0.884765i \(0.345681\pi\)
\(48\) −19634.7 + 34008.3i −0.000533873 + 0.000924696i
\(49\) −4.91917e7 + 8.52025e7i −1.21902 + 2.11140i
\(50\) 1.19234e7 + 2.06520e7i 0.269797 + 0.467301i
\(51\) 129546. 0.00268137
\(52\) 2.76417e6 + 4.78768e6i 0.0524263 + 0.0908050i
\(53\) 3.06638e7 5.31113e7i 0.533808 0.924583i −0.465412 0.885094i \(-0.654094\pi\)
0.999220 0.0394884i \(-0.0125728\pi\)
\(54\) 61574.5 0.000985437
\(55\) 2.76110e7 4.78236e7i 0.406864 0.704710i
\(56\) −4.17172e7 7.22563e7i −0.566851 0.981815i
\(57\) −63631.2 110212.i −0.000798423 0.00138291i
\(58\) 5.21119e6 + 9.02605e6i 0.0604660 + 0.104730i
\(59\) −1.40505e7 −0.150958 −0.0754790 0.997147i \(-0.524049\pi\)
−0.0754790 + 0.997147i \(0.524049\pi\)
\(60\) −112351. 194598.i −0.00111917 0.00193846i
\(61\) 4.27646e7 + 7.40705e7i 0.395458 + 0.684953i 0.993160 0.116766i \(-0.0372526\pi\)
−0.597702 + 0.801719i \(0.703919\pi\)
\(62\) 2.25735e7 3.90984e7i 0.194015 0.336044i
\(63\) 1.15919e8 2.00778e8i 0.927094 1.60577i
\(64\) −5.75774e7 −0.428985
\(65\) −2.75358e7 −0.191332
\(66\) 18900.6 32736.9i 0.000122611 0.000212368i
\(67\) −2.84713e7 + 4.93137e7i −0.172612 + 0.298972i −0.939332 0.343009i \(-0.888554\pi\)
0.766720 + 0.641981i \(0.221887\pi\)
\(68\) 1.38622e8 + 2.40101e8i 0.786218 + 1.36177i
\(69\) 49732.0 + 86138.3i 0.000264128 + 0.000457483i
\(70\) 1.96391e8 0.977641
\(71\) −5.05815e7 8.76096e7i −0.236227 0.409156i 0.723402 0.690427i \(-0.242577\pi\)
−0.959628 + 0.281271i \(0.909244\pi\)
\(72\) 6.97123e7 + 1.20745e8i 0.305712 + 0.529509i
\(73\) 1.87812e8 + 3.25301e8i 0.774054 + 1.34070i 0.935325 + 0.353791i \(0.115108\pi\)
−0.161270 + 0.986910i \(0.551559\pi\)
\(74\) 5.30606e7 9.19036e7i 0.205698 0.356279i
\(75\) 700540. 0.00255657
\(76\) 1.36179e8 2.35869e8i 0.468219 0.810979i
\(77\) −1.42329e8 2.46521e8i −0.461407 0.799181i
\(78\) −18849.2 −5.76590e−5
\(79\) 2.59061e7 + 4.48707e7i 0.0748309 + 0.129611i 0.901013 0.433793i \(-0.142825\pi\)
−0.826182 + 0.563404i \(0.809492\pi\)
\(80\) 2.09300e8 3.62517e8i 0.571299 0.989519i
\(81\) −1.93709e8 + 3.35514e8i −0.499996 + 0.866019i
\(82\) 2.26970e8 0.554377
\(83\) 2.56642e8 4.44517e8i 0.593576 1.02810i −0.400170 0.916441i \(-0.631049\pi\)
0.993746 0.111663i \(-0.0356178\pi\)
\(84\) −1.15829e6 −0.00253840
\(85\) −1.38092e9 −2.86934
\(86\) −1.44260e8 + 7.71325e7i −0.284383 + 0.152053i
\(87\) 306174. 0.000572970
\(88\) 1.71189e8 0.304301
\(89\) 1.95232e6 3.38152e6i 0.00329835 0.00571291i −0.864372 0.502854i \(-0.832283\pi\)
0.867670 + 0.497141i \(0.165617\pi\)
\(90\) −3.28182e8 −0.527258
\(91\) −7.09707e7 + 1.22925e8i −0.108491 + 0.187912i
\(92\) −1.06433e8 + 1.84347e8i −0.154893 + 0.268282i
\(93\) −663132. 1.14858e6i −0.000919235 0.00159216i
\(94\) −2.27525e8 −0.300576
\(95\) 6.78288e8 + 1.17483e9i 0.854394 + 1.47985i
\(96\) 531986. 921427.i 0.000639263 0.00110724i
\(97\) −1.04675e9 −1.20052 −0.600262 0.799803i \(-0.704937\pi\)
−0.600262 + 0.799803i \(0.704937\pi\)
\(98\) 3.58947e8 6.21715e8i 0.393110 0.680886i
\(99\) 2.37841e8 + 4.11953e8i 0.248845 + 0.431012i
\(100\) 7.49623e8 + 1.29839e9i 0.749623 + 1.29839i
\(101\) −4.50327e8 7.79989e8i −0.430607 0.745834i 0.566318 0.824187i \(-0.308367\pi\)
−0.996926 + 0.0783528i \(0.975034\pi\)
\(102\) −945283. −0.000864691
\(103\) −1.78583e8 3.09315e8i −0.156341 0.270790i 0.777206 0.629247i \(-0.216636\pi\)
−0.933546 + 0.358456i \(0.883303\pi\)
\(104\) −4.26808e7 7.39252e7i −0.0357752 0.0619645i
\(105\) 2.88464e6 4.99635e6i 0.00231601 0.00401144i
\(106\) −2.23751e8 + 3.87549e8i −0.172143 + 0.298160i
\(107\) −1.17368e9 −0.865609 −0.432804 0.901488i \(-0.642476\pi\)
−0.432804 + 0.901488i \(0.642476\pi\)
\(108\) 3.87117e6 0.00273801
\(109\) 9.04957e8 1.56743e9i 0.614057 1.06358i −0.376492 0.926420i \(-0.622870\pi\)
0.990549 0.137158i \(-0.0437969\pi\)
\(110\) −2.01475e8 + 3.48965e8i −0.131206 + 0.227256i
\(111\) −1.55874e6 2.69982e6i −0.000974586 0.00168803i
\(112\) −1.07890e9 1.86870e9i −0.647885 1.12217i
\(113\) −2.03728e8 −0.117543 −0.0587716 0.998271i \(-0.518718\pi\)
−0.0587716 + 0.998271i \(0.518718\pi\)
\(114\) 464311. + 804210.i 0.000257476 + 0.000445962i
\(115\) −5.30127e8 9.18207e8i −0.282644 0.489554i
\(116\) 3.27626e8 + 5.67465e8i 0.168003 + 0.290990i
\(117\) 1.18597e8 2.05416e8i 0.0585109 0.101344i
\(118\) 1.02525e8 0.0486811
\(119\) −3.55916e9 + 6.16465e9i −1.62700 + 2.81804i
\(120\) 1.73478e6 + 3.00473e6i 0.000763711 + 0.00132279i
\(121\) −1.77389e9 −0.752304
\(122\) −3.12050e8 5.40486e8i −0.127528 0.220884i
\(123\) 3.33380e6 5.77431e6i 0.00131331 0.00227471i
\(124\) 1.41919e9 2.45811e9i 0.539067 0.933691i
\(125\) −3.00466e9 −1.10078
\(126\) −8.45854e8 + 1.46506e9i −0.298970 + 0.517832i
\(127\) 4.27455e9 1.45805 0.729026 0.684486i \(-0.239973\pi\)
0.729026 + 0.684486i \(0.239973\pi\)
\(128\) 2.96146e9 0.975126
\(129\) −156621. + 4.80306e6i −4.97963e−5 + 0.00152709i
\(130\) 2.00927e8 0.0617010
\(131\) 2.48351e9 0.736792 0.368396 0.929669i \(-0.379907\pi\)
0.368396 + 0.929669i \(0.379907\pi\)
\(132\) 1.18828e6 2.05816e6i 0.000340671 0.000590060i
\(133\) 6.99287e9 1.93786
\(134\) 2.07753e8 3.59838e8i 0.0556640 0.0964130i
\(135\) −9.64088e6 + 1.66985e7i −0.00249813 + 0.00432688i
\(136\) −2.14043e9 3.70733e9i −0.536507 0.929258i
\(137\) −3.96429e9 −0.961442 −0.480721 0.876874i \(-0.659625\pi\)
−0.480721 + 0.876874i \(0.659625\pi\)
\(138\) −362890. 628544.i −8.51763e−5 0.000147530i
\(139\) 8.75120e8 1.51575e9i 0.198839 0.344399i −0.749313 0.662216i \(-0.769616\pi\)
0.948152 + 0.317817i \(0.102950\pi\)
\(140\) 1.23470e10 2.71635
\(141\) −3.34196e6 + 5.78845e6i −0.000712058 + 0.00123332i
\(142\) 3.69088e8 + 6.39280e8i 0.0761786 + 0.131945i
\(143\) −1.45616e8 2.52215e8i −0.0291204 0.0504380i
\(144\) 1.80291e9 + 3.12273e9i 0.349416 + 0.605205i
\(145\) −3.26372e9 −0.613136
\(146\) −1.37045e9 2.37369e9i −0.249618 0.432351i
\(147\) −1.05447e7 1.82639e7i −0.00186253 0.00322600i
\(148\) 3.33591e9 5.77796e9i 0.571526 0.989912i
\(149\) −1.24380e8 + 2.15432e8i −0.0206734 + 0.0358074i −0.876177 0.481989i \(-0.839914\pi\)
0.855504 + 0.517797i \(0.173248\pi\)
\(150\) −5.11178e6 −0.000824444
\(151\) −6.61314e9 −1.03517 −0.517585 0.855632i \(-0.673169\pi\)
−0.517585 + 0.855632i \(0.673169\pi\)
\(152\) −2.10270e9 + 3.64199e9i −0.319508 + 0.553404i
\(153\) 5.94761e9 1.03016e10i 0.877467 1.51982i
\(154\) 1.03856e9 + 1.79884e9i 0.148795 + 0.257721i
\(155\) 7.06878e9 + 1.22435e10i 0.983676 + 1.70378i
\(156\) −1.18504e6 −0.000160204
\(157\) −2.64893e9 4.58808e9i −0.347954 0.602674i 0.637932 0.770093i \(-0.279790\pi\)
−0.985886 + 0.167419i \(0.946457\pi\)
\(158\) −1.89035e8 3.27418e8i −0.0241315 0.0417970i
\(159\) 6.57305e6 + 1.13849e7i 0.000815605 + 0.00141267i
\(160\) −5.67080e9 + 9.82212e9i −0.684077 + 1.18486i
\(161\) −5.46539e9 −0.641069
\(162\) 1.41348e9 2.44821e9i 0.161239 0.279275i
\(163\) −2.77340e9 4.80367e9i −0.307729 0.533002i 0.670136 0.742238i \(-0.266236\pi\)
−0.977865 + 0.209236i \(0.932902\pi\)
\(164\) 1.42695e10 1.54032
\(165\) 5.91865e6 + 1.02514e7i 0.000621648 + 0.00107673i
\(166\) −1.87270e9 + 3.24360e9i −0.191417 + 0.331544i
\(167\) 5.34442e9 9.25680e9i 0.531712 0.920952i −0.467603 0.883939i \(-0.654882\pi\)
0.999315 0.0370133i \(-0.0117844\pi\)
\(168\) 1.78849e7 0.00173218
\(169\) 5.22964e9 9.05800e9i 0.493153 0.854166i
\(170\) 1.00764e10 0.925308
\(171\) −1.16856e10 −1.04512
\(172\) −9.06962e9 + 4.84930e9i −0.790153 + 0.422475i
\(173\) −8.30913e9 −0.705258 −0.352629 0.935763i \(-0.614712\pi\)
−0.352629 + 0.935763i \(0.614712\pi\)
\(174\) −2.23413e6 −0.000184772
\(175\) −1.92468e10 + 3.33364e10i −1.55127 + 2.68688i
\(176\) 4.42731e9 0.347802
\(177\) 1.50592e6 2.60833e6i 0.000115324 0.000199748i
\(178\) −1.42459e7 + 2.46747e7i −0.00106366 + 0.00184231i
\(179\) −6.74226e9 1.16779e10i −0.490871 0.850213i 0.509074 0.860723i \(-0.329988\pi\)
−0.999945 + 0.0105096i \(0.996655\pi\)
\(180\) −2.06327e10 −1.46497
\(181\) 1.48581e9 + 2.57350e9i 0.102899 + 0.178226i 0.912878 0.408233i \(-0.133855\pi\)
−0.809979 + 0.586459i \(0.800522\pi\)
\(182\) 5.17867e8 8.96973e8i 0.0349862 0.0605980i
\(183\) −1.83339e7 −0.00120844
\(184\) 1.64340e9 2.84646e9i 0.105697 0.183073i
\(185\) 1.66157e10 + 2.87792e10i 1.04291 + 1.80637i
\(186\) 4.83882e6 + 8.38108e6i 0.000296436 + 0.000513442i
\(187\) −7.30262e9 1.26485e10i −0.436708 0.756401i
\(188\) −1.43045e10 −0.835144
\(189\) 4.96967e7 + 8.60772e7i 0.00283302 + 0.00490693i
\(190\) −4.94941e9 8.57263e9i −0.275526 0.477225i
\(191\) 7.64524e9 1.32419e10i 0.415663 0.719949i −0.579835 0.814734i \(-0.696883\pi\)
0.995498 + 0.0947851i \(0.0302164\pi\)
\(192\) 6.17110e6 1.06887e7i 0.000327723 0.000567633i
\(193\) −2.79186e10 −1.44839 −0.724194 0.689596i \(-0.757788\pi\)
−0.724194 + 0.689596i \(0.757788\pi\)
\(194\) 7.63806e9 0.387147
\(195\) 2.95127e6 5.11175e6i 0.000146168 0.000253171i
\(196\) 2.25669e10 3.90871e10i 1.09225 1.89182i
\(197\) 5.61460e9 + 9.72478e9i 0.265596 + 0.460025i 0.967720 0.252030i \(-0.0810981\pi\)
−0.702124 + 0.712055i \(0.747765\pi\)
\(198\) −1.73551e9 3.00598e9i −0.0802477 0.138993i
\(199\) 2.92130e9 0.132049 0.0660247 0.997818i \(-0.478968\pi\)
0.0660247 + 0.997818i \(0.478968\pi\)
\(200\) −1.15747e10 2.00480e10i −0.511536 0.886006i
\(201\) −6.10306e6 1.05708e7i −0.000263734 0.000456800i
\(202\) 3.28599e9 + 5.69151e9i 0.138863 + 0.240517i
\(203\) −8.41190e9 + 1.45698e10i −0.347666 + 0.602174i
\(204\) −5.94297e7 −0.00240252
\(205\) −3.55372e10 + 6.15523e10i −1.40537 + 2.43418i
\(206\) 1.30310e9 + 2.25704e9i 0.0504170 + 0.0873247i
\(207\) 9.13304e9 0.345739
\(208\) −1.10382e9 1.91186e9i −0.0408895 0.0708226i
\(209\) −7.17391e9 + 1.24256e10i −0.260074 + 0.450462i
\(210\) −2.10490e7 + 3.64579e7i −0.000746869 + 0.00129361i
\(211\) 2.46193e10 0.855076 0.427538 0.903997i \(-0.359381\pi\)
0.427538 + 0.903997i \(0.359381\pi\)
\(212\) −1.40672e10 + 2.43651e10i −0.478295 + 0.828431i
\(213\) 2.16851e7 0.000721861
\(214\) 8.56422e9 0.279142
\(215\) 1.66954e9 5.11991e10i 0.0532872 1.63414i
\(216\) −5.97737e7 −0.00186839
\(217\) 7.28762e10 2.23109
\(218\) −6.60339e9 + 1.14374e10i −0.198022 + 0.342984i
\(219\) −8.05183e7 −0.00236536
\(220\) −1.26667e10 + 2.19393e10i −0.364553 + 0.631424i
\(221\) −3.64137e9 + 6.30704e9i −0.102683 + 0.177853i
\(222\) 1.13740e7 + 1.97003e7i 0.000314285 + 0.000544358i
\(223\) −6.51547e10 −1.76431 −0.882153 0.470964i \(-0.843906\pi\)
−0.882153 + 0.470964i \(0.843906\pi\)
\(224\) 2.92318e10 + 5.06310e10i 0.775782 + 1.34369i
\(225\) 3.21627e10 5.57074e10i 0.836625 1.44908i
\(226\) 1.48658e9 0.0379054
\(227\) 3.86357e10 6.69191e10i 0.965768 1.67276i 0.258232 0.966083i \(-0.416860\pi\)
0.707537 0.706677i \(-0.249806\pi\)
\(228\) 2.91911e7 + 5.05605e7i 0.000715392 + 0.00123909i
\(229\) 5.78678e9 + 1.00230e10i 0.139052 + 0.240845i 0.927138 0.374720i \(-0.122261\pi\)
−0.788086 + 0.615565i \(0.788928\pi\)
\(230\) 3.86829e9 + 6.70008e9i 0.0911473 + 0.157872i
\(231\) 6.10188e7 0.00140997
\(232\) −5.05879e9 8.76208e9i −0.114644 0.198569i
\(233\) −2.67583e10 4.63468e10i −0.594781 1.03019i −0.993578 0.113151i \(-0.963905\pi\)
0.398797 0.917039i \(-0.369428\pi\)
\(234\) −8.65392e8 + 1.49890e9i −0.0188687 + 0.0326815i
\(235\) 3.56243e10 6.17030e10i 0.761975 1.31978i
\(236\) 6.44572e9 0.135259
\(237\) −1.11064e7 −0.000228668
\(238\) 2.59709e10 4.49829e10i 0.524676 0.908765i
\(239\) 4.02221e9 6.96667e9i 0.0797396 0.138113i −0.823398 0.567464i \(-0.807924\pi\)
0.903138 + 0.429351i \(0.141258\pi\)
\(240\) 4.48651e7 + 7.77087e7i 0.000872888 + 0.00151189i
\(241\) −1.31265e10 2.27358e10i −0.250653 0.434143i 0.713053 0.701110i \(-0.247312\pi\)
−0.963706 + 0.266967i \(0.913979\pi\)
\(242\) 1.29439e10 0.242604
\(243\) −1.24570e8 2.15761e8i −0.00229184 0.00396959i
\(244\) −1.96185e10 3.39802e10i −0.354333 0.613722i
\(245\) 1.12403e11 + 1.94687e11i 1.99310 + 3.45215i
\(246\) −2.43264e7 + 4.21346e7i −0.000423517 + 0.000733552i
\(247\) 7.15439e9 0.122303
\(248\) −2.19133e10 + 3.79550e10i −0.367854 + 0.637142i
\(249\) 5.50134e7 + 9.52860e7i 0.000906925 + 0.00157084i
\(250\) 2.19247e10 0.354980
\(251\) −4.76670e7 8.25616e7i −0.000758029 0.00131294i 0.865646 0.500656i \(-0.166908\pi\)
−0.866404 + 0.499343i \(0.833575\pi\)
\(252\) −5.31786e10 + 9.21081e10i −0.830682 + 1.43878i
\(253\) 5.60688e9 9.71141e9i 0.0860358 0.149018i
\(254\) −3.11910e10 −0.470194
\(255\) 1.48005e8 2.56353e8i 0.00219203 0.00379671i
\(256\) 7.87012e9 0.114525
\(257\) −7.13842e10 −1.02071 −0.510356 0.859963i \(-0.670486\pi\)
−0.510356 + 0.859963i \(0.670486\pi\)
\(258\) 1.14285e6 3.50475e7i 1.60584e−5 0.000492457i
\(259\) 1.71301e11 2.36543
\(260\) 1.26322e10 0.171435
\(261\) 1.40569e10 2.43472e10i 0.187502 0.324763i
\(262\) −1.81219e10 −0.237601
\(263\) −3.91720e10 + 6.78479e10i −0.504865 + 0.874451i 0.495120 + 0.868825i \(0.335124\pi\)
−0.999984 + 0.00562627i \(0.998209\pi\)
\(264\) −1.83479e7 + 3.17795e7i −0.000232471 + 0.000402651i
\(265\) −7.00667e10 1.21359e11i −0.872781 1.51170i
\(266\) −5.10264e10 −0.624924
\(267\) 418497. + 724858.i 5.03955e−6 + 8.72876e-6i
\(268\) 1.30613e10 2.26229e10i 0.154661 0.267881i
\(269\) −4.13973e9 −0.0482044 −0.0241022 0.999709i \(-0.507673\pi\)
−0.0241022 + 0.999709i \(0.507673\pi\)
\(270\) 7.03487e7 1.21847e8i 0.000805599 0.00139534i
\(271\) 3.39885e10 + 5.88698e10i 0.382799 + 0.663026i 0.991461 0.130403i \(-0.0416270\pi\)
−0.608663 + 0.793429i \(0.708294\pi\)
\(272\) −5.53560e10 9.58795e10i −0.613204 1.06210i
\(273\) −1.52132e7 2.63500e7i −0.000165763 0.000287110i
\(274\) 2.89271e10 0.310047
\(275\) −3.94901e10 6.83989e10i −0.416382 0.721194i
\(276\) −2.28148e7 3.95164e7i −0.000236660 0.000409908i
\(277\) 3.78331e10 6.55288e10i 0.386111 0.668765i −0.605811 0.795608i \(-0.707151\pi\)
0.991923 + 0.126844i \(0.0404847\pi\)
\(278\) −6.38568e9 + 1.10603e10i −0.0641217 + 0.111062i
\(279\) −1.21781e11 −1.20326
\(280\) −1.90647e11 −1.85361
\(281\) 8.12419e10 1.40715e11i 0.777323 1.34636i −0.156157 0.987732i \(-0.549910\pi\)
0.933480 0.358631i \(-0.116756\pi\)
\(282\) 2.43860e7 4.22378e7i 0.000229625 0.000397722i
\(283\) 4.57712e9 + 7.92780e9i 0.0424183 + 0.0734706i 0.886455 0.462815i \(-0.153160\pi\)
−0.844037 + 0.536285i \(0.819827\pi\)
\(284\) 2.32045e10 + 4.01914e10i 0.211660 + 0.366607i
\(285\) −2.90794e8 −0.00261086
\(286\) 1.06255e9 + 1.84039e9i 0.00939078 + 0.0162653i
\(287\) 1.83187e11 + 3.17289e11i 1.59377 + 2.76049i
\(288\) −4.88483e10 8.46078e10i −0.418392 0.724677i
\(289\) −1.23320e11 + 2.13597e11i −1.03990 + 1.80117i
\(290\) 2.38151e10 0.197725
\(291\) 1.12190e8 1.94319e8i 0.000917141 0.00158854i
\(292\) −8.61599e10 1.49233e11i −0.693557 1.20128i
\(293\) 2.23923e11 1.77498 0.887492 0.460824i \(-0.152446\pi\)
0.887492 + 0.460824i \(0.152446\pi\)
\(294\) 7.69434e7 + 1.33270e8i 0.000600632 + 0.00104033i
\(295\) −1.60526e10 + 2.78039e10i −0.123409 + 0.213751i
\(296\) −5.15088e10 + 8.92159e10i −0.390004 + 0.675507i
\(297\) −2.03933e8 −0.00152084
\(298\) 9.07589e8 1.57199e9i 0.00666678 0.0115472i
\(299\) −5.59163e9 −0.0404592
\(300\) −3.21376e8 −0.00229070
\(301\) −2.24259e11 1.39413e11i −1.57471 0.978938i
\(302\) 4.82555e10 0.333822
\(303\) 1.93063e8 0.00131585
\(304\) −5.43804e10 + 9.41896e10i −0.365184 + 0.632516i
\(305\) 1.95434e11 1.29315
\(306\) −4.33992e10 + 7.51696e10i −0.282967 + 0.490112i
\(307\) −4.40246e10 + 7.62529e10i −0.282861 + 0.489930i −0.972088 0.234616i \(-0.924617\pi\)
0.689227 + 0.724545i \(0.257950\pi\)
\(308\) 6.52940e10 + 1.13093e11i 0.413424 + 0.716071i
\(309\) 7.65615e7 0.000477746
\(310\) −5.15803e10 8.93397e10i −0.317217 0.549436i
\(311\) −2.16857e9 + 3.75607e9i −0.0131447 + 0.0227673i −0.872523 0.488573i \(-0.837518\pi\)
0.859378 + 0.511340i \(0.170851\pi\)
\(312\) 1.82980e7 0.000109322
\(313\) −8.83311e10 + 1.52994e11i −0.520192 + 0.900999i 0.479532 + 0.877524i \(0.340806\pi\)
−0.999724 + 0.0234751i \(0.992527\pi\)
\(314\) 1.93290e10 + 3.34788e10i 0.112208 + 0.194351i
\(315\) −2.64875e11 4.58778e11i −1.51581 2.62546i
\(316\) −1.18846e10 2.05847e10i −0.0670489 0.116132i
\(317\) −1.19116e11 −0.662526 −0.331263 0.943538i \(-0.607475\pi\)
−0.331263 + 0.943538i \(0.607475\pi\)
\(318\) −4.79630e7 8.30744e7i −0.000263017 0.000455559i
\(319\) −1.72593e10 2.98941e10i −0.0933182 0.161632i
\(320\) −6.57820e10 + 1.13938e11i −0.350697 + 0.607425i
\(321\) 1.25794e8 2.17881e8i 0.000661282 0.00114537i
\(322\) 3.98805e10 0.206733
\(323\) 3.58791e11 1.83413
\(324\) 8.88649e10 1.53919e11i 0.448000 0.775958i
\(325\) −1.96913e10 + 3.41064e10i −0.0979040 + 0.169575i
\(326\) 2.02373e10 + 3.50519e10i 0.0992367 + 0.171883i
\(327\) 1.93985e8 + 3.35992e8i 0.000938218 + 0.00162504i
\(328\) −2.20332e11 −1.05110
\(329\) −1.83636e11 3.18066e11i −0.864122 1.49670i
\(330\) −4.31879e7 7.48036e7i −0.000200470 0.000347224i
\(331\) 1.19548e11 + 2.07063e11i 0.547414 + 0.948149i 0.998451 + 0.0556434i \(0.0177210\pi\)
−0.451037 + 0.892505i \(0.648946\pi\)
\(332\) −1.17736e11 + 2.03924e11i −0.531848 + 0.921187i
\(333\) −2.86255e11 −1.27572
\(334\) −3.89978e10 + 6.75461e10i −0.171467 + 0.296990i
\(335\) 6.50567e10 + 1.12682e11i 0.282222 + 0.488823i
\(336\) 4.62541e8 0.00197981
\(337\) −2.07051e11 3.58623e11i −0.874467 1.51462i −0.857330 0.514768i \(-0.827878\pi\)
−0.0171372 0.999853i \(-0.505455\pi\)
\(338\) −3.81602e10 + 6.60955e10i −0.159032 + 0.275452i
\(339\) 2.18354e7 3.78200e7i 8.97971e−5 0.000155533i
\(340\) 6.33502e11 2.57095
\(341\) −7.47629e10 + 1.29493e11i −0.299427 + 0.518623i
\(342\) 8.52685e10 0.337032
\(343\) 6.83513e11 2.66639
\(344\) 1.40042e11 7.48768e10i 0.539193 0.288293i
\(345\) 2.27275e8 0.000863704
\(346\) 6.06310e10 0.227432
\(347\) 1.75315e11 3.03654e11i 0.649135 1.12434i −0.334194 0.942504i \(-0.608464\pi\)
0.983330 0.181831i \(-0.0582025\pi\)
\(348\) −1.40459e8 −0.000513384
\(349\) −1.18739e11 + 2.05661e11i −0.428428 + 0.742059i −0.996734 0.0807587i \(-0.974266\pi\)
0.568306 + 0.822817i \(0.307599\pi\)
\(350\) 1.40442e11 2.43253e11i 0.500255 0.866467i
\(351\) 5.08446e7 + 8.80654e7i 0.000178798 + 0.000309687i
\(352\) −1.19954e11 −0.416461
\(353\) 8.07943e10 + 1.39940e11i 0.276946 + 0.479684i 0.970624 0.240601i \(-0.0773444\pi\)
−0.693678 + 0.720285i \(0.744011\pi\)
\(354\) −1.09885e7 + 1.90327e7i −3.71900e−5 + 6.44149e-5i
\(355\) −2.31157e11 −0.772465
\(356\) −8.95638e8 + 1.55129e9i −0.00295534 + 0.00511880i
\(357\) −7.62937e8 1.32145e9i −0.00248589 0.00430569i
\(358\) 4.91977e10 + 8.52130e10i 0.158297 + 0.274178i
\(359\) 2.78574e11 + 4.82505e11i 0.885148 + 1.53312i 0.845544 + 0.533906i \(0.179276\pi\)
0.0396045 + 0.999215i \(0.487390\pi\)
\(360\) 3.18584e11 0.999685
\(361\) −1.48896e10 2.57896e10i −0.0461425 0.0799212i
\(362\) −1.08418e10 1.87786e10i −0.0331829 0.0574744i
\(363\) 1.90125e8 3.29305e8i 0.000574723 0.000995449i
\(364\) 3.25582e10 5.63924e10i 0.0972084 0.168370i
\(365\) 8.58301e11 2.53117
\(366\) 1.33781e8 0.000389699
\(367\) −3.93216e10 + 6.81071e10i −0.113145 + 0.195972i −0.917037 0.398803i \(-0.869426\pi\)
0.803892 + 0.594775i \(0.202759\pi\)
\(368\) 4.25019e10 7.36154e10i 0.120807 0.209244i
\(369\) −3.06118e11 5.30212e11i −0.859548 1.48878i
\(370\) −1.21243e11 2.09999e11i −0.336317 0.582519i
\(371\) −7.22358e11 −1.97957
\(372\) 3.04215e8 + 5.26916e8i 0.000823640 + 0.00142659i
\(373\) 6.89043e9 + 1.19346e10i 0.0184313 + 0.0319240i 0.875094 0.483953i \(-0.160799\pi\)
−0.856663 + 0.515877i \(0.827466\pi\)
\(374\) 5.32866e10 + 9.22950e10i 0.140830 + 0.243925i
\(375\) 3.22037e8 5.57784e8i 0.000840939 0.00145655i
\(376\) 2.20871e11 0.569894
\(377\) −8.60619e9 + 1.49064e10i −0.0219419 + 0.0380045i
\(378\) −3.62633e8 6.28098e8i −0.000913595 0.00158239i
\(379\) 4.01889e11 1.00053 0.500265 0.865872i \(-0.333236\pi\)
0.500265 + 0.865872i \(0.333236\pi\)
\(380\) −3.11168e11 5.38959e11i −0.765542 1.32596i
\(381\) −4.58143e8 + 7.93526e8i −0.00111388 + 0.00192930i
\(382\) −5.57866e10 + 9.66253e10i −0.134043 + 0.232170i
\(383\) −2.15611e11 −0.512008 −0.256004 0.966676i \(-0.582406\pi\)
−0.256004 + 0.966676i \(0.582406\pi\)
\(384\) −3.17407e8 + 5.49765e8i −0.000744948 + 0.00129029i
\(385\) −6.50441e11 −1.50881
\(386\) 2.03719e11 0.467078
\(387\) 3.74752e11 + 2.32969e11i 0.849268 + 0.527958i
\(388\) 4.80203e11 1.07568
\(389\) −3.48571e11 −0.771824 −0.385912 0.922536i \(-0.626113\pi\)
−0.385912 + 0.922536i \(0.626113\pi\)
\(390\) −2.15352e7 + 3.73000e7i −4.71365e−5 + 8.16429e-5i
\(391\) −2.80419e11 −0.606752
\(392\) −3.48450e11 + 6.03533e11i −0.745338 + 1.29096i
\(393\) −2.66180e8 + 4.61038e8i −0.000562872 + 0.000974923i
\(394\) −4.09693e10 7.09608e10i −0.0856496 0.148349i
\(395\) 1.18391e11 0.244698
\(396\) −1.09111e11 1.88985e11i −0.222966 0.386189i
\(397\) −1.92350e11 + 3.33161e11i −0.388630 + 0.673126i −0.992265 0.124134i \(-0.960385\pi\)
0.603636 + 0.797260i \(0.293718\pi\)
\(398\) −2.13164e10 −0.0425834
\(399\) −7.49490e8 + 1.29816e9i −0.00148043 + 0.00256418i
\(400\) −2.99347e11 5.18485e11i −0.584663 1.01267i
\(401\) −7.65453e10 1.32580e11i −0.147832 0.256053i 0.782594 0.622533i \(-0.213896\pi\)
−0.930426 + 0.366480i \(0.880563\pi\)
\(402\) 4.45335e7 + 7.71343e7i 8.50491e−5 + 0.000147309i
\(403\) 7.45594e10 0.140809
\(404\) 2.06590e11 + 3.57824e11i 0.385827 + 0.668272i
\(405\) 4.42624e11 + 7.66647e11i 0.817499 + 1.41595i
\(406\) 6.13809e10 1.06315e11i 0.112116 0.194190i
\(407\) −1.75735e11 + 3.04383e11i −0.317457 + 0.549851i
\(408\) 9.17638e8 0.00163946
\(409\) −7.97910e10 −0.140994 −0.0704968 0.997512i \(-0.522458\pi\)
−0.0704968 + 0.997512i \(0.522458\pi\)
\(410\) 2.59312e11 4.49142e11i 0.453206 0.784976i
\(411\) 4.24890e8 7.35931e8i 0.000734494 0.00127218i
\(412\) 8.19258e10 + 1.41900e11i 0.140082 + 0.242630i
\(413\) 8.27478e10 + 1.43323e11i 0.139953 + 0.242405i
\(414\) −6.66430e10 −0.111494
\(415\) −5.86426e11 1.01572e12i −0.970502 1.68096i
\(416\) 2.99070e10 + 5.18004e10i 0.0489613 + 0.0848034i
\(417\) 1.87589e8 + 3.24914e8i 0.000303806 + 0.000526207i
\(418\) 5.23474e10 9.06683e10i 0.0838690 0.145265i
\(419\) −1.23159e11 −0.195211 −0.0976055 0.995225i \(-0.531118\pi\)
−0.0976055 + 0.995225i \(0.531118\pi\)
\(420\) −1.32334e9 + 2.29210e9i −0.00207516 + 0.00359428i
\(421\) −2.58542e11 4.47808e11i −0.401108 0.694740i 0.592751 0.805385i \(-0.298042\pi\)
−0.993860 + 0.110645i \(0.964708\pi\)
\(422\) −1.79645e11 −0.275746
\(423\) 3.06868e11 + 5.31510e11i 0.466036 + 0.807198i
\(424\) 2.17208e11 3.76215e11i 0.326384 0.565314i
\(425\) −9.87516e11 + 1.71043e12i −1.46823 + 2.54305i
\(426\) −1.58234e8 −0.000232787
\(427\) 5.03710e11 8.72451e11i 0.733255 1.27003i
\(428\) 5.38430e11 0.775591
\(429\) 6.24281e7 8.89862e−5
\(430\) −1.21825e10 + 3.73596e11i −0.0171841 + 0.526979i
\(431\) −2.93693e11 −0.409964 −0.204982 0.978766i \(-0.565714\pi\)
−0.204982 + 0.978766i \(0.565714\pi\)
\(432\) −1.54588e9 −0.00213549
\(433\) −3.92237e11 + 6.79374e11i −0.536232 + 0.928781i 0.462871 + 0.886426i \(0.346819\pi\)
−0.999103 + 0.0423551i \(0.986514\pi\)
\(434\) −5.31771e11 −0.719484
\(435\) 3.49803e8 6.05877e8i 0.000468405 0.000811302i
\(436\) −4.15154e11 + 7.19067e11i −0.550199 + 0.952972i
\(437\) 1.37738e11 + 2.38569e11i 0.180671 + 0.312931i
\(438\) 5.87535e8 0.000762782
\(439\) −6.97447e11 1.20801e12i −0.896232 1.55232i −0.832272 0.554368i \(-0.812960\pi\)
−0.0639604 0.997952i \(-0.520373\pi\)
\(440\) 1.95583e11 3.38759e11i 0.248767 0.430878i
\(441\) −1.93648e12 −2.43803
\(442\) 2.65708e10 4.60220e10i 0.0331134 0.0573541i
\(443\) −3.43597e11 5.95128e11i −0.423870 0.734165i 0.572444 0.819944i \(-0.305995\pi\)
−0.996314 + 0.0857791i \(0.972662\pi\)
\(444\) 7.15080e8 + 1.23855e9i 0.000873235 + 0.00151249i
\(445\) −4.46105e9 7.72677e9i −0.00539283 0.00934066i
\(446\) 4.75428e11 0.568955
\(447\) −2.66619e7 4.61797e7i −3.15869e−5 5.47101e-5i
\(448\) 3.39092e11 + 5.87325e11i 0.397710 + 0.688855i
\(449\) 2.45776e11 4.25696e11i 0.285385 0.494301i −0.687318 0.726357i \(-0.741212\pi\)
0.972702 + 0.232056i \(0.0745453\pi\)
\(450\) −2.34688e11 + 4.06492e11i −0.269796 + 0.467300i
\(451\) −7.51718e11 −0.855580
\(452\) 9.34612e10 0.105319
\(453\) 7.08791e8 1.22766e9i 0.000790818 0.00136974i
\(454\) −2.81922e11 + 4.88303e11i −0.311442 + 0.539433i
\(455\) 1.62168e11 + 2.80883e11i 0.177384 + 0.307237i
\(456\) −4.50732e8 7.80691e8i −0.000488177 0.000845547i
\(457\) 7.02364e11 0.753250 0.376625 0.926366i \(-0.377085\pi\)
0.376625 + 0.926366i \(0.377085\pi\)
\(458\) −4.22256e10 7.31370e10i −0.0448417 0.0776680i
\(459\) 2.54984e9 + 4.41646e9i 0.00268137 + 0.00464426i
\(460\) 2.43199e11 + 4.21232e11i 0.253251 + 0.438643i
\(461\) 4.59875e11 7.96527e11i 0.474226 0.821384i −0.525338 0.850894i \(-0.676061\pi\)
0.999565 + 0.0295093i \(0.00939445\pi\)
\(462\) −4.45249e8 −0.000454688
\(463\) 1.61615e11 2.79925e11i 0.163443 0.283092i −0.772658 0.634822i \(-0.781073\pi\)
0.936101 + 0.351730i \(0.114407\pi\)
\(464\) −1.30831e11 2.26606e11i −0.131033 0.226955i
\(465\) −3.03051e9 −0.00300592
\(466\) 1.95253e11 + 3.38188e11i 0.191806 + 0.332217i
\(467\) 6.48053e11 1.12246e12i 0.630499 1.09206i −0.356950 0.934123i \(-0.616184\pi\)
0.987450 0.157934i \(-0.0504832\pi\)
\(468\) −5.44070e10 + 9.42356e10i −0.0524262 + 0.0908048i
\(469\) 6.70708e11 0.640111
\(470\) −2.59947e11 + 4.50242e11i −0.245722 + 0.425604i
\(471\) 1.13564e9 0.00106328
\(472\) −9.95266e10 −0.0922997
\(473\) 4.77787e11 2.55461e11i 0.438894 0.234666i
\(474\) 8.10424e7 7.37412e−5
\(475\) 1.94022e12 1.74876
\(476\) 1.63278e12 2.82807e12i 1.45780 2.52498i
\(477\) 1.20711e12 1.06761
\(478\) −2.93497e10 + 5.08352e10i −0.0257145 + 0.0445389i
\(479\) −6.48082e10 + 1.12251e11i −0.0562497 + 0.0974273i −0.892779 0.450495i \(-0.851248\pi\)
0.836529 + 0.547922i \(0.184581\pi\)
\(480\) −1.21559e9 2.10546e9i −0.00104520 0.00181034i
\(481\) 1.75257e11 0.149287
\(482\) 9.57830e10 + 1.65901e11i 0.0808308 + 0.140003i
\(483\) 5.85776e8 1.01459e9i 0.000489745 0.000848262i
\(484\) 8.13783e11 0.674069
\(485\) −1.19591e12 + 2.07138e12i −0.981435 + 1.69989i
\(486\) 9.08976e8 + 1.57439e9i 0.000739076 + 0.00128012i
\(487\) 5.04508e11 + 8.73833e11i 0.406432 + 0.703961i 0.994487 0.104860i \(-0.0334395\pi\)
−0.588055 + 0.808821i \(0.700106\pi\)
\(488\) 3.02924e11 + 5.24679e11i 0.241793 + 0.418798i
\(489\) 1.18900e9 0.000940358
\(490\) −8.20193e11 1.42062e12i −0.642738 1.11325i
\(491\) 8.28350e11 + 1.43474e12i 0.643202 + 1.11406i 0.984714 + 0.174181i \(0.0557277\pi\)
−0.341512 + 0.939877i \(0.610939\pi\)
\(492\) −1.52940e9 + 2.64899e9i −0.00117673 + 0.00203816i
\(493\) −4.31598e11 + 7.47550e11i −0.329055 + 0.569940i
\(494\) −5.22049e10 −0.0394403
\(495\) 1.08693e12 0.813727
\(496\) −5.66725e11 + 9.81597e11i −0.420441 + 0.728225i
\(497\) −5.95782e11 + 1.03192e12i −0.438010 + 0.758655i
\(498\) −4.01428e8 6.95294e8i −0.000292466 0.000506566i
\(499\) 1.61086e11 + 2.79009e11i 0.116307 + 0.201449i 0.918301 0.395882i \(-0.129561\pi\)
−0.801995 + 0.597331i \(0.796228\pi\)
\(500\) 1.37840e12 0.986304
\(501\) 1.14562e9 + 1.98427e9i 0.000812403 + 0.00140712i
\(502\) 3.47822e8 + 6.02445e8i 0.000244450 + 0.000423400i
\(503\) −5.24354e11 9.08208e11i −0.365232 0.632600i 0.623581 0.781758i \(-0.285677\pi\)
−0.988813 + 0.149158i \(0.952344\pi\)
\(504\) 8.21117e11 1.42222e12i 0.566850 0.981812i
\(505\) −2.05799e12 −1.40809
\(506\) −4.09129e10 + 7.08633e10i −0.0277449 + 0.0480556i
\(507\) 1.12102e9 + 1.94166e9i 0.000753488 + 0.00130508i
\(508\) −1.96097e12 −1.30642
\(509\) −1.09267e12 1.89257e12i −0.721541 1.24974i −0.960382 0.278686i \(-0.910101\pi\)
0.238842 0.971059i \(-0.423232\pi\)
\(510\) −1.07998e9 + 1.87059e9i −0.000706889 + 0.00122437i
\(511\) 2.21218e12 3.83161e12i 1.43525 2.48592i
\(512\) −1.57369e12 −1.01206
\(513\) 2.50490e9 4.33862e9i 0.00159684 0.00276582i
\(514\) 5.20885e11 0.329160
\(515\) −8.16122e11 −0.511237
\(516\) 7.18509e7 2.20343e9i 4.46178e−5 0.00136828i
\(517\) 7.53559e11 0.463884
\(518\) −1.24997e12 −0.762806
\(519\) 8.90566e8 1.54251e9i 0.000538782 0.000933198i
\(520\) −1.95051e11 −0.116986
\(521\) 1.38985e12 2.40728e12i 0.826413 1.43139i −0.0744221 0.997227i \(-0.523711\pi\)
0.900835 0.434162i \(-0.142955\pi\)
\(522\) −1.02572e11 + 1.77659e11i −0.0604658 + 0.104730i
\(523\) 7.72909e11 + 1.33872e12i 0.451721 + 0.782404i 0.998493 0.0548774i \(-0.0174768\pi\)
−0.546772 + 0.837282i \(0.684143\pi\)
\(524\) −1.13932e12 −0.660170
\(525\) −4.12571e9 7.14594e9i −0.00237018 0.00410528i
\(526\) 2.85835e11 4.95080e11i 0.162809 0.281994i
\(527\) 3.73914e12 2.11166
\(528\) −4.74515e8 + 8.21885e8i −0.000265704 + 0.000460212i
\(529\) 7.92925e11 + 1.37339e12i 0.440232 + 0.762504i
\(530\) 5.11271e11 + 8.85547e11i 0.281455 + 0.487495i
\(531\) −1.38277e11 2.39503e11i −0.0754789 0.130733i
\(532\) −3.20801e12 −1.73634
\(533\) 1.87418e11 + 3.24618e11i 0.100586 + 0.174221i
\(534\) −3.05374e6 5.28923e6i −1.62516e−6 2.81486e-6i
\(535\) −1.34092e12 + 2.32255e12i −0.707639 + 1.22567i
\(536\) −2.01677e11 + 3.49315e11i −0.105539 + 0.182800i
\(537\) 2.89052e9 0.00150000
\(538\) 3.02072e10 0.0155450
\(539\) −1.18883e12 + 2.05911e12i −0.606693 + 1.05082i
\(540\) 4.42280e9 7.66052e9i 0.00223834 0.00387691i
\(541\) 1.14616e12 + 1.98521e12i 0.575251 + 0.996365i 0.996014 + 0.0891939i \(0.0284291\pi\)
−0.420763 + 0.907171i \(0.638238\pi\)
\(542\) −2.48011e11 4.29568e11i −0.123445 0.213813i
\(543\) −6.36992e8 −0.000314438
\(544\) 1.49983e12 + 2.59778e12i 0.734254 + 1.27177i
\(545\) −2.06782e12 3.58157e12i −1.00399 1.73896i
\(546\) 1.11009e8 + 1.92274e8i 5.34555e−5 + 9.25876e-5i
\(547\) 6.18202e11 1.07076e12i 0.295248 0.511385i −0.679794 0.733403i \(-0.737931\pi\)
0.975043 + 0.222018i \(0.0712642\pi\)
\(548\) 1.81864e12 0.861458
\(549\) −8.41734e11 + 1.45793e12i −0.395457 + 0.684951i
\(550\) 2.88156e11 + 4.99101e11i 0.134275 + 0.232571i
\(551\) 8.47983e11 0.391927
\(552\) 3.52277e8 + 6.10162e8i 0.000161495 + 0.000279717i
\(553\) 3.05140e11 5.28518e11i 0.138751 0.240324i
\(554\) −2.76065e11 + 4.78158e11i −0.124514 + 0.215664i
\(555\) −7.12342e9 −0.00318691
\(556\) −4.01466e11 + 6.95359e11i −0.178161 + 0.308583i
\(557\) 1.28862e12 0.567252 0.283626 0.958935i \(-0.408463\pi\)
0.283626 + 0.958935i \(0.408463\pi\)
\(558\) 8.88626e11 0.388030
\(559\) −2.29439e11 1.42634e11i −0.0993834 0.0617829i
\(560\) −4.93054e12 −2.11860
\(561\) 3.13076e9 0.00133449
\(562\) −5.92815e11 + 1.02679e12i −0.250672 + 0.434177i
\(563\) −3.34868e12 −1.40471 −0.702354 0.711828i \(-0.747868\pi\)
−0.702354 + 0.711828i \(0.747868\pi\)
\(564\) 1.53314e9 2.65548e9i 0.000638008 0.00110506i
\(565\) −2.32759e11 + 4.03150e11i −0.0960921 + 0.166436i
\(566\) −3.33988e10 5.78484e10i −0.0136791 0.0236929i
\(567\) 4.56326e12 1.85418
\(568\) −3.58295e11 6.20584e11i −0.144435 0.250169i
\(569\) 7.85296e10 1.36017e11i 0.0314071 0.0543987i −0.849895 0.526953i \(-0.823334\pi\)
0.881302 + 0.472554i \(0.156668\pi\)
\(570\) 2.12190e9 0.000841952
\(571\) 7.94410e11 1.37596e12i 0.312739 0.541680i −0.666215 0.745759i \(-0.732087\pi\)
0.978954 + 0.204080i \(0.0654201\pi\)
\(572\) 6.68022e10 + 1.15705e11i 0.0260921 + 0.0451928i
\(573\) 1.63882e9 + 2.83852e9i 0.000635091 + 0.00110001i
\(574\) −1.33670e12 2.31523e12i −0.513961 0.890207i
\(575\) −1.51641e12 −0.578511
\(576\) −5.66646e11 9.81460e11i −0.214492 0.371511i
\(577\) −2.41895e12 4.18975e12i −0.908524 1.57361i −0.816116 0.577888i \(-0.803877\pi\)
−0.0924077 0.995721i \(-0.529456\pi\)
\(578\) 8.99855e11 1.55860e12i 0.335349 0.580842i
\(579\) 2.99229e9 5.18280e9i 0.00110650 0.00191651i
\(580\) 1.49725e12 0.549374
\(581\) −6.04580e12 −2.20121
\(582\) −8.18642e8 + 1.41793e9i −0.000295761 + 0.000512272i
\(583\) 7.41059e11 1.28355e12i 0.265671 0.460156i
\(584\) 1.33037e12 + 2.30427e12i 0.473277 + 0.819740i
\(585\) −2.70993e11 4.69374e11i −0.0956659 0.165698i
\(586\) −1.63395e12 −0.572398
\(587\) −1.62361e12 2.81218e12i −0.564430 0.977622i −0.997102 0.0760707i \(-0.975763\pi\)
0.432672 0.901551i \(-0.357571\pi\)
\(588\) 4.83741e9 + 8.37865e9i 0.00166884 + 0.00289052i
\(589\) −1.83662e12 3.18111e12i −0.628781 1.08908i
\(590\) 1.17135e11 2.02883e11i 0.0397970 0.0689305i
\(591\) −2.40707e9 −0.000811607
\(592\) −1.33213e12 + 2.30731e12i −0.445757 + 0.772074i
\(593\) −7.12641e11 1.23433e12i −0.236660 0.409907i 0.723094 0.690750i \(-0.242719\pi\)
−0.959754 + 0.280843i \(0.909386\pi\)
\(594\) 1.48808e9 0.000490443
\(595\) 8.13267e12 + 1.40862e13i 2.66016 + 4.60752i
\(596\) 5.70599e10 9.88306e10i 0.0185235 0.0320836i
\(597\) −3.13102e8 + 5.42309e8i −0.000100879 + 0.000174728i
\(598\) 4.08016e10 0.0130473
\(599\) −1.51863e12 + 2.63034e12i −0.481982 + 0.834818i −0.999786 0.0206814i \(-0.993416\pi\)
0.517804 + 0.855499i \(0.326750\pi\)
\(600\) 4.96228e9 0.00156315
\(601\) −3.56596e12 −1.11491 −0.557457 0.830206i \(-0.688223\pi\)
−0.557457 + 0.830206i \(0.688223\pi\)
\(602\) 1.63640e12 + 1.01729e12i 0.507814 + 0.315689i
\(603\) −1.12080e12 −0.345223
\(604\) 3.03381e12 0.927518
\(605\) −2.02667e12 + 3.51029e12i −0.615012 + 1.06523i
\(606\) −1.40876e9 −0.000424337
\(607\) 1.65269e12 2.86254e12i 0.494130 0.855859i −0.505847 0.862623i \(-0.668820\pi\)
0.999977 + 0.00676469i \(0.00215328\pi\)
\(608\) 1.47339e12 2.55199e12i 0.437273 0.757379i
\(609\) −1.80316e9 3.12317e9i −0.000531198 0.000920063i
\(610\) −1.42606e12 −0.417018
\(611\) −1.87877e11 3.25413e11i −0.0545366 0.0944602i
\(612\) −2.72849e12 + 4.72589e12i −0.786216 + 1.36177i
\(613\) 6.46079e11 0.184805 0.0924024 0.995722i \(-0.470545\pi\)
0.0924024 + 0.995722i \(0.470545\pi\)
\(614\) 3.21244e11 5.56411e11i 0.0912173 0.157993i
\(615\) −7.61771e9 1.31943e10i −0.00214727 0.00371918i
\(616\) −1.00819e12 1.74623e12i −0.282116 0.488640i
\(617\) 1.38286e12 + 2.39519e12i 0.384145 + 0.665359i 0.991650 0.128957i \(-0.0411629\pi\)
−0.607505 + 0.794316i \(0.707830\pi\)
\(618\) −5.58663e8 −0.000154064
\(619\) 1.62497e12 + 2.81452e12i 0.444873 + 0.770543i 0.998043 0.0625254i \(-0.0199154\pi\)
−0.553170 + 0.833068i \(0.686582\pi\)
\(620\) −3.24284e12 5.61676e12i −0.881379 1.52659i
\(621\) −1.95775e9 + 3.39092e9i −0.000528256 + 0.000914966i
\(622\) 1.58238e10 2.74077e10i 0.00423892 0.00734202i
\(623\) −4.59915e10 −0.0122316
\(624\) 4.73224e8 0.000124950
\(625\) −2.41331e11 + 4.17998e11i −0.0632635 + 0.109576i
\(626\) 6.44544e11 1.11638e12i 0.167752 0.290555i
\(627\) −1.53779e9 2.66353e9i −0.000397368 0.000688261i
\(628\) 1.21521e12 + 2.10480e12i 0.311769 + 0.539999i
\(629\) 8.78911e12 2.23881
\(630\) 1.93277e12 + 3.34766e12i 0.488819 + 0.846660i
\(631\) −3.32270e12 5.75508e12i −0.834370 1.44517i −0.894542 0.446984i \(-0.852498\pi\)
0.0601720 0.998188i \(-0.480835\pi\)
\(632\) 1.83507e11 + 3.17843e11i 0.0457535 + 0.0792474i
\(633\) −2.63868e9 + 4.57033e9i −0.000653236 + 0.00113144i
\(634\) 8.69178e11 0.213652
\(635\) 4.88366e12 8.45874e12i 1.19196 2.06454i
\(636\) −3.01542e9 5.22286e9i −0.000730787 0.00126576i
\(637\) 1.18559e12 0.285304
\(638\) 1.25940e11 + 2.18134e11i 0.0300933 + 0.0521232i
\(639\) 9.95592e11 1.72442e12i 0.236226 0.409155i
\(640\) 3.38346e12 5.86032e12i 0.797170 1.38074i
\(641\) −5.99684e12 −1.40301 −0.701506 0.712663i \(-0.747489\pi\)
−0.701506 + 0.712663i \(0.747489\pi\)
\(642\) −9.17907e8 + 1.58986e9i −0.000213251 + 0.000369361i
\(643\) 5.40547e12 1.24705 0.623525 0.781803i \(-0.285700\pi\)
0.623525 + 0.781803i \(0.285700\pi\)
\(644\) 2.50727e12 0.574401
\(645\) 9.32566e9 + 5.79741e9i 0.00212159 + 0.00131891i
\(646\) −2.61806e12 −0.591472
\(647\) 1.19793e12 0.268757 0.134379 0.990930i \(-0.457096\pi\)
0.134379 + 0.990930i \(0.457096\pi\)
\(648\) −1.37214e12 + 2.37662e12i −0.305711 + 0.529507i
\(649\) −3.39560e11 −0.0751304
\(650\) 1.43686e11 2.48872e11i 0.0315722 0.0546846i
\(651\) −7.81081e9 + 1.35287e10i −0.00170444 + 0.00295218i
\(652\) 1.27231e12 + 2.20371e12i 0.275727 + 0.477573i
\(653\) −3.61822e12 −0.778728 −0.389364 0.921084i \(-0.627305\pi\)
−0.389364 + 0.921084i \(0.627305\pi\)
\(654\) −1.41549e9 2.45171e9i −0.000302558 0.000524045i
\(655\) 2.83740e12 4.91452e12i 0.602330 1.04327i
\(656\) −5.69825e12 −1.20136
\(657\) −3.69670e12 + 6.40288e12i −0.774052 + 1.34070i
\(658\) 1.33997e12 + 2.32090e12i 0.278663 + 0.482659i
\(659\) 1.97595e12 + 3.42244e12i 0.408123 + 0.706890i 0.994679 0.103019i \(-0.0328501\pi\)
−0.586557 + 0.809908i \(0.699517\pi\)
\(660\) −2.71521e9 4.70288e9i −0.000557000 0.000964753i
\(661\) −2.65917e12 −0.541801 −0.270901 0.962607i \(-0.587321\pi\)
−0.270901 + 0.962607i \(0.587321\pi\)
\(662\) −8.72330e11 1.51092e12i −0.176531 0.305760i
\(663\) −7.80559e8 1.35197e9i −0.000156890 0.000271741i
\(664\) 1.81793e12 3.14874e12i 0.362928 0.628610i
\(665\) 7.98933e12 1.38379e13i 1.58421 2.74393i
\(666\) 2.08878e12 0.411394
\(667\) −6.62754e11 −0.129654
\(668\) −2.45178e12 + 4.24661e12i −0.476417 + 0.825178i
\(669\) 6.98323e9 1.20953e10i 0.00134784 0.00233453i
\(670\) −4.74713e11 8.22228e11i −0.0910112 0.157636i
\(671\) 1.03350e12 + 1.79008e12i 0.196816 + 0.340895i
\(672\) −1.25322e10 −0.00237063
\(673\) 1.99803e12 + 3.46068e12i 0.375434 + 0.650270i 0.990392 0.138289i \(-0.0441604\pi\)
−0.614958 + 0.788560i \(0.710827\pi\)
\(674\) 1.51084e12 + 2.61684e12i 0.281999 + 0.488437i
\(675\) 1.37887e10 + 2.38827e10i 0.00255656 + 0.00442810i
\(676\) −2.39912e12 + 4.15540e12i −0.441868 + 0.765338i
\(677\) −1.31547e12 −0.240675 −0.120338 0.992733i \(-0.538398\pi\)
−0.120338 + 0.992733i \(0.538398\pi\)
\(678\) −1.59331e8 + 2.75969e8i −2.89579e−5 + 5.01565e-5i
\(679\) 6.16467e12 + 1.06775e13i 1.11300 + 1.92778i
\(680\) −9.78174e12 −1.75439
\(681\) 8.28190e9 + 1.43447e10i 0.00147560 + 0.00255581i
\(682\) 5.45538e11 9.44900e11i 0.0965596 0.167246i
\(683\) 2.27981e12 3.94874e12i 0.400871 0.694329i −0.592960 0.805232i \(-0.702041\pi\)
0.993831 + 0.110903i \(0.0353742\pi\)
\(684\) 5.36081e12 0.936436
\(685\) −4.52919e12 + 7.84479e12i −0.785983 + 1.36136i
\(686\) −4.98754e12 −0.859860
\(687\) −2.48089e9 −0.000424915
\(688\) 3.62177e12 1.93647e12i 0.616273 0.329506i
\(689\) −7.39043e11 −0.124935
\(690\) −1.65840e9 −0.000278528
\(691\) 3.82961e12 6.63308e12i 0.639003 1.10679i −0.346648 0.937995i \(-0.612680\pi\)
0.985652 0.168791i \(-0.0539864\pi\)
\(692\) 3.81186e12 0.631916
\(693\) 2.80145e12 4.85225e12i 0.461406 0.799179i
\(694\) −1.27926e12 + 2.21573e12i −0.209334 + 0.362577i
\(695\) −1.99965e12 3.46349e12i −0.325103 0.563095i
\(696\) 2.16879e9 0.000350329
\(697\) 9.39897e12 + 1.62795e13i 1.50846 + 2.61272i
\(698\) 8.66425e11 1.50069e12i 0.138160 0.239300i
\(699\) 1.14717e10 0.00181753
\(700\) 8.82956e12 1.52932e13i 1.38995 2.40746i
\(701\) −3.40474e12 5.89718e12i −0.532541 0.922388i −0.999278 0.0379919i \(-0.987904\pi\)
0.466737 0.884396i \(-0.345429\pi\)
\(702\) −3.71009e8 6.42606e8i −5.76590e−5 9.98683e-5i
\(703\) −4.31710e12 7.47743e12i −0.666643 1.15466i
\(704\) −1.39148e12 −0.213502
\(705\) 7.63636e9 + 1.32266e10i 0.00116422 + 0.00201649i
\(706\) −5.89549e11 1.02113e12i −0.0893098 0.154689i
\(707\) −5.30425e12 + 9.18723e12i −0.798429 + 1.38292i
\(708\) −6.90847e8 + 1.19658e9i −0.000103331 + 0.000178975i
\(709\) −5.35362e12 −0.795682 −0.397841 0.917454i \(-0.630240\pi\)
−0.397841 + 0.917454i \(0.630240\pi\)
\(710\) 1.68673e12 0.249105
\(711\) −5.09909e11 + 8.83189e11i −0.0748307 + 0.129611i
\(712\) 1.38293e10 2.39531e10i 0.00201670 0.00349302i
\(713\) 1.43544e12 + 2.48625e12i 0.208009 + 0.360282i
\(714\) 5.56709e9 + 9.64248e9i 0.000801652 + 0.00138850i
\(715\) −6.65465e11 −0.0952243
\(716\) 3.09305e12 + 5.35732e12i 0.439823 + 0.761796i
\(717\) 8.62195e8 + 1.49337e9i 0.000121834 + 0.000211023i
\(718\) −2.03273e12 3.52080e12i −0.285444 0.494403i
\(719\) 2.33455e12 4.04355e12i 0.325778 0.564265i −0.655891 0.754855i \(-0.727707\pi\)
0.981670 + 0.190591i \(0.0610403\pi\)
\(720\) 8.23927e12 1.14260
\(721\) −2.10347e12 + 3.64331e12i −0.289886 + 0.502097i
\(722\) 1.08648e11 + 1.88184e11i 0.0148801 + 0.0257731i
\(723\) 5.62756e9 0.000765945
\(724\) −6.81623e11 1.18061e12i −0.0921978 0.159691i
\(725\) −2.33394e12 + 4.04250e12i −0.313739 + 0.543412i
\(726\) −1.38732e9 + 2.40291e9i −0.000185337 + 0.000321013i
\(727\) −6.37217e12 −0.846023 −0.423012 0.906124i \(-0.639027\pi\)
−0.423012 + 0.906124i \(0.639027\pi\)
\(728\) −5.02722e11 + 8.70741e11i −0.0663341 + 0.114894i
\(729\) −7.62549e12 −0.999986
\(730\) −6.26294e12 −0.816255
\(731\) −1.15063e13 7.15304e12i −1.49042 0.926536i
\(732\) 8.41077e9 0.00108277
\(733\) −7.41486e12 −0.948713 −0.474356 0.880333i \(-0.657319\pi\)
−0.474356 + 0.880333i \(0.657319\pi\)
\(734\) 2.86927e11 4.96971e11i 0.0364870 0.0631974i
\(735\) −4.81890e10 −0.00609052
\(736\) −1.15155e12 + 1.99455e12i −0.144655 + 0.250550i
\(737\) −6.88072e11 + 1.19178e12i −0.0859073 + 0.148796i
\(738\) 2.23372e12 + 3.86891e12i 0.277188 + 0.480104i
\(739\) −1.35604e13 −1.67252 −0.836260 0.548333i \(-0.815263\pi\)
−0.836260 + 0.548333i \(0.815263\pi\)
\(740\) −7.62253e12 1.32026e13i −0.934450 1.61852i
\(741\) −7.66802e8 + 1.32814e9i −9.34332e−5 + 0.000161831i
\(742\) 5.27099e12 0.638373
\(743\) −2.64483e12 + 4.58098e12i −0.318382 + 0.551454i −0.980151 0.198254i \(-0.936473\pi\)
0.661769 + 0.749708i \(0.269806\pi\)
\(744\) −4.69731e9 8.13597e9i −0.000562044 0.000973490i
\(745\) 2.84207e11 + 4.92261e11i 0.0338012 + 0.0585454i
\(746\) −5.02789e10 8.70855e10i −0.00594375 0.0102949i
\(747\) 1.01029e13 1.18715
\(748\) 3.35011e12 + 5.80256e12i 0.391293 + 0.677740i
\(749\) 6.91218e12 + 1.19722e13i 0.802503 + 1.38998i
\(750\) −2.34987e9 + 4.07010e9i −0.000271187 + 0.000469710i
\(751\) 3.23674e12 5.60620e12i 0.371303 0.643115i −0.618464 0.785813i \(-0.712245\pi\)
0.989766 + 0.142698i \(0.0455779\pi\)
\(752\) 5.71220e12 0.651364
\(753\) 2.04356e7 2.31639e−6
\(754\) 6.27986e10 1.08770e11i 0.00707586 0.0122557i
\(755\) −7.55549e12 + 1.30865e13i −0.846256 + 1.46576i
\(756\) −2.27986e10 3.94884e10i −0.00253840 0.00439664i
\(757\) −1.33506e12 2.31240e12i −0.147765 0.255936i 0.782636 0.622479i \(-0.213874\pi\)
−0.930401 + 0.366543i \(0.880541\pi\)
\(758\) −2.93255e12 −0.322652
\(759\) 1.20188e9 + 2.08172e9i 0.000131454 + 0.000227685i
\(760\) 4.80467e12 + 8.32193e12i 0.522399 + 0.904821i
\(761\) 6.81646e11 + 1.18065e12i 0.0736763 + 0.127611i 0.900510 0.434836i \(-0.143193\pi\)
−0.826834 + 0.562447i \(0.809860\pi\)
\(762\) 3.34303e9 5.79029e9i 0.000359205 0.000622161i