Properties

Label 43.8.g.a.9.18
Level 43
Weight 8
Character 43.9
Analytic conductor 13.433
Analytic rank 0
Dimension 300
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.4325560958\)
Analytic rank: \(0\)
Dimension: \(300\)
Relative dimension: \(25\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.18
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.18

$q$-expansion

\(f(q)\) \(=\) \(q+(6.51857 + 8.17403i) q^{2} +(-88.4724 - 13.3351i) q^{3} +(4.15968 - 18.2247i) q^{4} +(-356.783 - 243.251i) q^{5} +(-467.712 - 810.101i) q^{6} +(-739.305 + 1280.51i) q^{7} +(1381.79 - 665.437i) q^{8} +(5559.70 + 1714.94i) q^{9} +O(q^{10})\) \(q+(6.51857 + 8.17403i) q^{2} +(-88.4724 - 13.3351i) q^{3} +(4.15968 - 18.2247i) q^{4} +(-356.783 - 243.251i) q^{5} +(-467.712 - 810.101i) q^{6} +(-739.305 + 1280.51i) q^{7} +(1381.79 - 665.437i) q^{8} +(5559.70 + 1714.94i) q^{9} +(-337.379 - 4502.01i) q^{10} +(516.396 + 2262.48i) q^{11} +(-611.045 + 1556.92i) q^{12} +(603.639 - 8055.01i) q^{13} +(-15286.2 + 2304.02i) q^{14} +(28321.7 + 26278.7i) q^{15} +(12290.8 + 5918.95i) q^{16} +(7530.29 - 5134.07i) q^{17} +(22223.3 + 56624.1i) q^{18} +(-12841.5 + 3961.09i) q^{19} +(-5917.29 + 5490.44i) q^{20} +(82483.7 - 103431. i) q^{21} +(-15127.4 + 18969.2i) q^{22} +(-26366.5 + 24464.5i) q^{23} +(-131124. + 40446.5i) q^{24} +(39581.2 + 100851. i) q^{25} +(69776.7 - 47573.0i) q^{26} +(-292714. - 140964. i) q^{27} +(20261.7 + 18800.2i) q^{28} +(180502. - 27206.3i) q^{29} +(-30185.9 + 402802. i) q^{30} +(4998.03 - 12734.8i) q^{31} +(-11946.2 - 52339.9i) q^{32} +(-15516.5 - 207053. i) q^{33} +(91052.8 + 28086.1i) q^{34} +(575257. - 277029. i) q^{35} +(54380.9 - 94190.4i) q^{36} +(42672.6 + 73911.1i) q^{37} +(-116087. - 79146.5i) q^{38} +(-160819. + 704596. i) q^{39} +(-654870. - 98705.7i) q^{40} +(421307. + 528302. i) q^{41} +1.38313e6 q^{42} +(409503. + 322685. i) q^{43} +43381.1 q^{44} +(-1.56645e6 - 1.96426e6i) q^{45} +(-371845. - 56046.6i) q^{46} +(-74580.8 + 326760. i) q^{47} +(-1.00847e6 - 687563. i) q^{48} +(-681371. - 1.18017e6i) q^{49} +(-566348. + 980944. i) q^{50} +(-734686. + 353806. i) q^{51} +(-144289. - 44507.4i) q^{52} +(-41612.0 - 555273. i) q^{53} +(-755837. - 3.31154e6i) q^{54} +(366108. - 932828. i) q^{55} +(-169466. + 2.26137e6i) q^{56} +(1.18894e6 - 179204. i) q^{57} +(1.39900e6 + 1.29808e6i) q^{58} +(4885.03 + 2352.51i) q^{59} +(596732. - 406845. i) q^{60} +(240890. + 613778. i) q^{61} +(136674. - 42158.5i) q^{62} +(-6.30631e6 + 5.85140e6i) q^{63} +(1.43866e6 - 1.80403e6i) q^{64} +(-2.17476e6 + 2.72706e6i) q^{65} +(1.59131e6 - 1.47652e6i) q^{66} +(1.67062e6 - 515317. i) q^{67} +(-62243.4 - 158594. i) q^{68} +(2.65894e6 - 1.81283e6i) q^{69} +(6.01430e6 + 2.89634e6i) q^{70} +(306524. + 284413. i) q^{71} +(8.82355e6 - 1.32994e6i) q^{72} +(-237624. + 3.17088e6i) q^{73} +(-325987. + 830603. i) q^{74} +(-2.15698e6 - 9.45036e6i) q^{75} +(18773.2 + 250511. i) q^{76} +(-3.27890e6 - 1.01141e6i) q^{77} +(-6.80770e6 + 3.27842e6i) q^{78} +(39972.7 - 69234.7i) q^{79} +(-2.94538e6 - 5.10154e6i) q^{80} +(1.35040e7 + 9.20686e6i) q^{81} +(-1.57204e6 + 6.88755e6i) q^{82} +(1.19329e6 + 179860. i) q^{83} +(-1.54190e6 - 1.93349e6i) q^{84} -3.93555e6 q^{85} +(31737.3 + 5.45074e6i) q^{86} -1.63322e7 q^{87} +(2.21909e6 + 2.78265e6i) q^{88} +(1.01651e6 + 153214. i) q^{89} +(5.84495e6 - 2.56084e7i) q^{90} +(9.86827e6 + 6.72807e6i) q^{91} +(336183. + 582286. i) q^{92} +(-612006. + 1.06003e6i) q^{93} +(-3.15710e6 + 1.52038e6i) q^{94} +(5.54519e6 + 1.71046e6i) q^{95} +(358956. + 4.78994e6i) q^{96} +(-1.04532e6 - 4.57986e6i) q^{97} +(5.20517e6 - 1.32626e7i) q^{98} +(-1.00901e6 + 1.34643e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} + O(q^{10}) \) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} - 1681q^{10} + 4580q^{11} + 9330q^{12} - 20444q^{13} - 45798q^{14} + 50477q^{15} - 74504q^{16} - 25312q^{17} + 2046q^{18} + 4046q^{19} + 140781q^{20} + 100555q^{21} + 95810q^{22} + 1648q^{23} - 292592q^{24} + 419068q^{25} + 393435q^{26} + 274140q^{27} + 233644q^{28} + 605697q^{29} - 1216016q^{30} + 358580q^{31} - 19194q^{32} + 1280291q^{33} + 1137255q^{34} + 652739q^{35} - 8980975q^{36} - 2360047q^{37} - 308490q^{38} + 536339q^{39} + 3057993q^{40} - 1376320q^{41} + 8417790q^{42} + 7173000q^{43} - 3856780q^{44} + 2761486q^{45} - 7073993q^{46} + 1437090q^{47} - 9543469q^{48} - 16053170q^{49} - 3046893q^{50} + 2972901q^{51} + 17415142q^{52} + 3320604q^{53} + 6000486q^{54} + 13427750q^{55} - 5450793q^{56} + 3333100q^{57} - 7876190q^{58} - 7084765q^{59} + 7356443q^{60} + 3354606q^{61} - 719427q^{62} + 14716815q^{63} - 16086234q^{64} - 19914646q^{65} - 8293345q^{66} + 13025470q^{67} - 22191927q^{68} - 33964295q^{69} + 8094727q^{70} + 30843495q^{71} + 93841607q^{72} - 3067637q^{73} + 18179570q^{74} - 41508571q^{75} - 19751872q^{76} - 15169179q^{77} - 69509396q^{78} - 12090149q^{79} - 69662530q^{80} + 3387954q^{81} + 39226888q^{82} + 16408777q^{83} + 98603231q^{84} - 13423424q^{85} + 111906660q^{86} + 49022010q^{87} + 76213954q^{88} - 12540205q^{89} - 92608607q^{90} - 59091937q^{91} - 50489370q^{92} - 52218334q^{93} - 3441600q^{94} - 79947551q^{95} - 23449784q^{96} - 116467587q^{97} + 73909552q^{98} - 20061115q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.51857 + 8.17403i 0.576166 + 0.722489i 0.981454 0.191700i \(-0.0614001\pi\)
−0.405288 + 0.914189i \(0.632829\pi\)
\(3\) −88.4724 13.3351i −1.89183 0.285148i −0.902487 0.430717i \(-0.858261\pi\)
−0.989348 + 0.145569i \(0.953499\pi\)
\(4\) 4.15968 18.2247i 0.0324975 0.142381i
\(5\) −356.783 243.251i −1.27647 0.870281i −0.280487 0.959858i \(-0.590496\pi\)
−0.995980 + 0.0895771i \(0.971448\pi\)
\(6\) −467.712 810.101i −0.883994 1.53112i
\(7\) −739.305 + 1280.51i −0.814667 + 1.41104i 0.0948994 + 0.995487i \(0.469747\pi\)
−0.909567 + 0.415558i \(0.863586\pi\)
\(8\) 1381.79 665.437i 0.954176 0.459507i
\(9\) 5559.70 + 1714.94i 2.54216 + 0.784152i
\(10\) −337.379 4502.01i −0.106689 1.42366i
\(11\) 516.396 + 2262.48i 0.116979 + 0.512519i 0.999136 + 0.0415630i \(0.0132337\pi\)
−0.882157 + 0.470956i \(0.843909\pi\)
\(12\) −611.045 + 1556.92i −0.102080 + 0.260094i
\(13\) 603.639 8055.01i 0.0762036 1.01687i −0.819751 0.572721i \(-0.805888\pi\)
0.895954 0.444146i \(-0.146493\pi\)
\(14\) −15286.2 + 2304.02i −1.48885 + 0.224408i
\(15\) 28321.7 + 26278.7i 2.16671 + 2.01041i
\(16\) 12290.8 + 5918.95i 0.750173 + 0.361264i
\(17\) 7530.29 5134.07i 0.371741 0.253449i −0.363011 0.931785i \(-0.618251\pi\)
0.734752 + 0.678336i \(0.237299\pi\)
\(18\) 22223.3 + 56624.1i 0.898163 + 2.28848i
\(19\) −12841.5 + 3961.09i −0.429516 + 0.132488i −0.501973 0.864883i \(-0.667392\pi\)
0.0724566 + 0.997372i \(0.476916\pi\)
\(20\) −5917.29 + 5490.44i −0.165393 + 0.153462i
\(21\) 82483.7 103431.i 1.94357 2.43716i
\(22\) −15127.4 + 18969.2i −0.302890 + 0.379812i
\(23\) −26366.5 + 24464.5i −0.451860 + 0.419265i −0.872992 0.487734i \(-0.837823\pi\)
0.421132 + 0.906999i \(0.361633\pi\)
\(24\) −131124. + 40446.5i −1.93617 + 0.597230i
\(25\) 39581.2 + 100851.i 0.506639 + 1.29090i
\(26\) 69776.7 47573.0i 0.778581 0.530828i
\(27\) −292714. 140964.i −2.86201 1.37827i
\(28\) 20261.7 + 18800.2i 0.174431 + 0.161848i
\(29\) 180502. 27206.3i 1.37432 0.207146i 0.579987 0.814626i \(-0.303058\pi\)
0.794335 + 0.607480i \(0.207820\pi\)
\(30\) −30185.9 + 402802.i −0.204117 + 2.72375i
\(31\) 4998.03 12734.8i 0.0301323 0.0767759i −0.915016 0.403418i \(-0.867822\pi\)
0.945148 + 0.326642i \(0.105917\pi\)
\(32\) −11946.2 52339.9i −0.0644475 0.282363i
\(33\) −15516.5 207053.i −0.0751613 1.00296i
\(34\) 91052.8 + 28086.1i 0.397299 + 0.122550i
\(35\) 575257. 277029.i 2.26790 1.09216i
\(36\) 54380.9 94190.4i 0.194262 0.336471i
\(37\) 42672.6 + 73911.1i 0.138498 + 0.239885i 0.926928 0.375239i \(-0.122439\pi\)
−0.788430 + 0.615124i \(0.789106\pi\)
\(38\) −116087. 79146.5i −0.343194 0.233986i
\(39\) −160819. + 704596.i −0.434123 + 1.90202i
\(40\) −654870. 98705.7i −1.61787 0.243855i
\(41\) 421307. + 528302.i 0.954674 + 1.19712i 0.980313 + 0.197452i \(0.0632667\pi\)
−0.0256385 + 0.999671i \(0.508162\pi\)
\(42\) 1.38313e6 2.88064
\(43\) 409503. + 322685.i 0.785448 + 0.618927i
\(44\) 43381.1 0.0767743
\(45\) −1.56645e6 1.96426e6i −2.56255 3.21333i
\(46\) −371845. 56046.6i −0.563261 0.0848979i
\(47\) −74580.8 + 326760.i −0.104781 + 0.459078i 0.895130 + 0.445804i \(0.147082\pi\)
−0.999912 + 0.0132732i \(0.995775\pi\)
\(48\) −1.00847e6 687563.i −1.31619 0.897363i
\(49\) −681371. 1.18017e6i −0.827365 1.43304i
\(50\) −566348. + 980944.i −0.640750 + 1.10981i
\(51\) −734686. + 353806.i −0.775543 + 0.373482i
\(52\) −144289. 44507.4i −0.142306 0.0438956i
\(53\) −41612.0 555273.i −0.0383931 0.512320i −0.982938 0.183938i \(-0.941116\pi\)
0.944545 0.328382i \(-0.106503\pi\)
\(54\) −755837. 3.31154e6i −0.653205 2.86188i
\(55\) 366108. 932828.i 0.296715 0.756018i
\(56\) −169466. + 2.26137e6i −0.128951 + 1.72073i
\(57\) 1.18894e6 179204.i 0.850353 0.128170i
\(58\) 1.39900e6 + 1.29808e6i 0.941498 + 0.873582i
\(59\) 4885.03 + 2352.51i 0.00309660 + 0.00149124i 0.435431 0.900222i \(-0.356596\pi\)
−0.432335 + 0.901713i \(0.642310\pi\)
\(60\) 596732. 406845.i 0.356656 0.243164i
\(61\) 240890. + 613778.i 0.135883 + 0.346224i 0.982577 0.185856i \(-0.0595059\pi\)
−0.846694 + 0.532080i \(0.821411\pi\)
\(62\) 136674. 42158.5i 0.0728310 0.0224654i
\(63\) −6.30631e6 + 5.85140e6i −3.17749 + 2.94828i
\(64\) 1.43866e6 1.80403e6i 0.686008 0.860226i
\(65\) −2.17476e6 + 2.72706e6i −0.982231 + 1.23168i
\(66\) 1.59131e6 1.47652e6i 0.681320 0.632173i
\(67\) 1.67062e6 515317.i 0.678601 0.209321i 0.0637524 0.997966i \(-0.479693\pi\)
0.614849 + 0.788645i \(0.289217\pi\)
\(68\) −62243.4 158594.i −0.0240056 0.0611652i
\(69\) 2.65894e6 1.81283e6i 0.974398 0.664333i
\(70\) 6.01430e6 + 2.89634e6i 2.09576 + 1.00927i
\(71\) 306524. + 284413.i 0.101639 + 0.0943073i 0.729356 0.684135i \(-0.239820\pi\)
−0.627717 + 0.778442i \(0.716010\pi\)
\(72\) 8.82355e6 1.32994e6i 2.78599 0.419920i
\(73\) −237624. + 3.17088e6i −0.0714925 + 0.954002i 0.839974 + 0.542627i \(0.182570\pi\)
−0.911466 + 0.411375i \(0.865049\pi\)
\(74\) −325987. + 830603.i −0.0935169 + 0.238277i
\(75\) −2.15698e6 9.45036e6i −0.590381 2.58663i
\(76\) 18773.2 + 250511.i 0.00490558 + 0.0654604i
\(77\) −3.27890e6 1.01141e6i −0.818486 0.252470i
\(78\) −6.80770e6 + 3.27842e6i −1.62431 + 0.782227i
\(79\) 39972.7 69234.7i 0.00912155 0.0157990i −0.861429 0.507879i \(-0.830430\pi\)
0.870550 + 0.492080i \(0.163763\pi\)
\(80\) −2.94538e6 5.10154e6i −0.643170 1.11400i
\(81\) 1.35040e7 + 9.20686e6i 2.82335 + 1.92493i
\(82\) −1.57204e6 + 6.88755e6i −0.314858 + 1.37948i
\(83\) 1.19329e6 + 179860.i 0.229073 + 0.0345271i 0.262575 0.964911i \(-0.415428\pi\)
−0.0335028 + 0.999439i \(0.510666\pi\)
\(84\) −1.54190e6 1.93349e6i −0.283844 0.355929i
\(85\) −3.93555e6 −0.695087
\(86\) 31737.3 + 5.45074e6i 0.00538054 + 0.924083i
\(87\) −1.63322e7 −2.65906
\(88\) 2.21909e6 + 2.78265e6i 0.347125 + 0.435281i
\(89\) 1.01651e6 + 153214.i 0.152843 + 0.0230373i 0.225018 0.974355i \(-0.427756\pi\)
−0.0721751 + 0.997392i \(0.522994\pi\)
\(90\) 5.84495e6 2.56084e7i 0.845146 3.70283i
\(91\) 9.86827e6 + 6.72807e6i 1.37276 + 0.935935i
\(92\) 336183. + 582286.i 0.0450110 + 0.0779613i
\(93\) −612006. + 1.06003e6i −0.0788979 + 0.136655i
\(94\) −3.15710e6 + 1.52038e6i −0.392050 + 0.188801i
\(95\) 5.54519e6 + 1.71046e6i 0.663565 + 0.204683i
\(96\) 358956. + 4.78994e6i 0.0414087 + 0.552561i
\(97\) −1.04532e6 4.57986e6i −0.116292 0.509508i −0.999201 0.0399641i \(-0.987276\pi\)
0.882909 0.469544i \(-0.155582\pi\)
\(98\) 5.20517e6 1.32626e7i 0.558655 1.42343i
\(99\) −1.00901e6 + 1.34643e7i −0.104513 + 1.39463i
\(100\) 2.00263e6 301848.i 0.200263 0.0301848i
\(101\) 1.03877e7 + 9.63839e6i 1.00322 + 0.930850i 0.997607 0.0691343i \(-0.0220237\pi\)
0.00561033 + 0.999984i \(0.498214\pi\)
\(102\) −7.68112e6 3.69903e6i −0.716678 0.345134i
\(103\) 4.30043e6 2.93198e6i 0.387776 0.264381i −0.353702 0.935358i \(-0.615077\pi\)
0.741478 + 0.670977i \(0.234125\pi\)
\(104\) −4.52600e6 1.15321e7i −0.394546 1.00529i
\(105\) −5.45886e7 + 1.68384e7i −4.60192 + 1.41951i
\(106\) 4.26757e6 3.95973e6i 0.348025 0.322920i
\(107\) −6.94401e6 + 8.70751e6i −0.547983 + 0.687149i −0.976286 0.216486i \(-0.930540\pi\)
0.428303 + 0.903635i \(0.359112\pi\)
\(108\) −3.78662e6 + 4.74827e6i −0.289247 + 0.362704i
\(109\) 1.49282e7 1.38513e7i 1.10412 1.02447i 0.104564 0.994518i \(-0.466655\pi\)
0.999551 0.0299516i \(-0.00953533\pi\)
\(110\) 1.00115e7 3.08813e6i 0.717172 0.221218i
\(111\) −2.78974e6 7.10814e6i −0.193612 0.493316i
\(112\) −1.66660e7 + 1.13627e7i −1.12090 + 0.764218i
\(113\) −1.97979e7 9.53415e6i −1.29076 0.621595i −0.342624 0.939473i \(-0.611316\pi\)
−0.948132 + 0.317878i \(0.897030\pi\)
\(114\) 9.21503e6 + 8.55030e6i 0.582546 + 0.540523i
\(115\) 1.53581e7 2.31486e6i 0.941663 0.141933i
\(116\) 255002. 3.40277e6i 0.0151684 0.202409i
\(117\) 1.71699e7 4.37482e7i 0.991100 2.52528i
\(118\) 12614.0 + 55265.4i 0.000706748 + 0.00309646i
\(119\) 1.00706e6 + 1.34383e7i 0.0547824 + 0.731020i
\(120\) 5.66216e7 + 1.74655e7i 2.99122 + 0.922668i
\(121\) 1.27052e7 6.11850e6i 0.651977 0.313976i
\(122\) −3.44678e6 + 5.97000e6i −0.171852 + 0.297656i
\(123\) −3.02291e7 5.23583e7i −1.46473 2.53698i
\(124\) −211298. 144060.i −0.00995219 0.00678529i
\(125\) 2.90334e6 1.27204e7i 0.132958 0.582525i
\(126\) −8.89377e7 1.34052e7i −3.96086 0.597003i
\(127\) 1.26116e7 + 1.58144e7i 0.546332 + 0.685078i 0.975966 0.217925i \(-0.0699288\pi\)
−0.429634 + 0.903003i \(0.641357\pi\)
\(128\) 1.72524e7 0.727134
\(129\) −3.19267e7 3.40095e7i −1.30945 1.39488i
\(130\) −3.64674e7 −1.45580
\(131\) 2.88022e7 + 3.61168e7i 1.11938 + 1.40365i 0.904216 + 0.427075i \(0.140456\pi\)
0.215161 + 0.976579i \(0.430973\pi\)
\(132\) −3.83803e6 578490.i −0.145244 0.0218921i
\(133\) 4.42158e6 1.93722e7i 0.162966 0.714001i
\(134\) 1.51022e7 + 1.02965e7i 0.542219 + 0.369679i
\(135\) 7.01460e7 + 1.21496e8i 2.45378 + 4.25006i
\(136\) 6.98892e6 1.21052e7i 0.238245 0.412652i
\(137\) −4.54151e7 + 2.18707e7i −1.50896 + 0.726677i −0.991630 0.129109i \(-0.958788\pi\)
−0.517330 + 0.855786i \(0.673074\pi\)
\(138\) 3.21506e7 + 9.91716e6i 1.04139 + 0.321226i
\(139\) −3.16435e6 4.22254e7i −0.0999386 1.33359i −0.791455 0.611227i \(-0.790676\pi\)
0.691517 0.722360i \(-0.256943\pi\)
\(140\) −2.65590e6 1.16363e7i −0.0818020 0.358398i
\(141\) 1.09557e7 2.79147e7i 0.329134 0.838621i
\(142\) −326700. + 4.35951e6i −0.00957502 + 0.127770i
\(143\) 1.85360e7 2.79385e6i 0.530078 0.0798963i
\(144\) 5.81827e7 + 5.39856e7i 1.62377 + 1.50664i
\(145\) −7.10180e7 3.42005e7i −1.93455 0.931631i
\(146\) −2.74678e7 + 1.87272e7i −0.730447 + 0.498011i
\(147\) 4.45449e7 + 1.13498e8i 1.15661 + 2.94699i
\(148\) 1.52452e6 470251.i 0.0386559 0.0119238i
\(149\) −4.37835e7 + 4.06251e7i −1.08432 + 1.00610i −0.0843684 + 0.996435i \(0.526887\pi\)
−0.999953 + 0.00966883i \(0.996922\pi\)
\(150\) 6.31871e7 7.92341e7i 1.52865 1.91687i
\(151\) 3.40047e7 4.26406e7i 0.803749 1.00787i −0.195880 0.980628i \(-0.562756\pi\)
0.999629 0.0272410i \(-0.00867215\pi\)
\(152\) −1.51085e7 + 1.40187e7i −0.348955 + 0.323783i
\(153\) 5.06708e7 1.56299e7i 1.14377 0.352805i
\(154\) −1.31065e7 3.33948e7i −0.289177 0.736812i
\(155\) −4.88096e6 + 3.32778e6i −0.105280 + 0.0717784i
\(156\) 1.21721e7 + 5.86178e6i 0.256703 + 0.123621i
\(157\) −2.94579e7 2.73329e7i −0.607509 0.563686i 0.315277 0.949000i \(-0.397903\pi\)
−0.922785 + 0.385314i \(0.874093\pi\)
\(158\) 826492. 124574.i 0.0166701 0.00251262i
\(159\) −3.72310e6 + 4.96813e7i −0.0734538 + 0.980173i
\(160\) −8.46950e6 + 2.15799e7i −0.163470 + 0.416515i
\(161\) −1.18343e7 5.18493e7i −0.223486 0.979157i
\(162\) 1.27695e7 + 1.70398e8i 0.235979 + 3.14891i
\(163\) −5.17403e7 1.59598e7i −0.935777 0.288649i −0.210884 0.977511i \(-0.567634\pi\)
−0.724892 + 0.688862i \(0.758111\pi\)
\(164\) 1.13807e7 5.48064e6i 0.201472 0.0970237i
\(165\) −4.48298e7 + 7.76474e7i −0.776913 + 1.34565i
\(166\) 6.30838e6 + 1.09264e7i 0.107038 + 0.185396i
\(167\) 3.72611e7 + 2.54042e7i 0.619083 + 0.422083i 0.831835 0.555023i \(-0.187290\pi\)
−0.212753 + 0.977106i \(0.568243\pi\)
\(168\) 4.51485e7 1.97809e8i 0.734617 3.21857i
\(169\) −2.47108e6 372455.i −0.0393807 0.00593568i
\(170\) −2.56542e7 3.21693e7i −0.400485 0.502193i
\(171\) −7.81881e7 −1.19579
\(172\) 7.58426e6 6.12082e6i 0.113648 0.0917192i
\(173\) 8.59910e7 1.26267 0.631337 0.775508i \(-0.282506\pi\)
0.631337 + 0.775508i \(0.282506\pi\)
\(174\) −1.06463e8 1.33500e8i −1.53206 1.92114i
\(175\) −1.58404e8 2.38755e7i −2.23425 0.336760i
\(176\) −7.04456e6 + 3.08643e7i −0.0974002 + 0.426738i
\(177\) −400819. 273274.i −0.00543303 0.00370418i
\(178\) 5.37379e6 + 9.30768e6i 0.0714185 + 0.123701i
\(179\) 1.29034e7 2.23494e7i 0.168158 0.291259i −0.769614 0.638510i \(-0.779551\pi\)
0.937772 + 0.347250i \(0.112885\pi\)
\(180\) −4.23141e7 + 2.03774e7i −0.540793 + 0.260432i
\(181\) 1.39684e8 + 4.30868e7i 1.75094 + 0.540094i 0.993603 0.112928i \(-0.0360229\pi\)
0.757339 + 0.653022i \(0.226499\pi\)
\(182\) 9.33155e6 + 1.24521e8i 0.114737 + 1.53106i
\(183\) −1.31273e7 5.75146e7i −0.158343 0.693745i
\(184\) −2.01534e7 + 5.13501e7i −0.238499 + 0.607686i
\(185\) 2.75406e6 3.67504e7i 0.0319796 0.426738i
\(186\) −1.26541e7 + 1.90730e6i −0.144190 + 0.0217332i
\(187\) 1.55043e7 + 1.43859e7i 0.173383 + 0.160876i
\(188\) 5.64488e6 + 2.71843e6i 0.0619587 + 0.0298377i
\(189\) 3.96911e8 2.70609e8i 4.27638 2.91559i
\(190\) 2.21653e7 + 5.64763e7i 0.234443 + 0.597350i
\(191\) 8.10034e7 2.49863e7i 0.841176 0.259468i 0.155919 0.987770i \(-0.450166\pi\)
0.685257 + 0.728302i \(0.259690\pi\)
\(192\) −1.51339e8 + 1.40422e8i −1.54311 + 1.43179i
\(193\) −5.12207e7 + 6.42288e7i −0.512856 + 0.643101i −0.969075 0.246767i \(-0.920632\pi\)
0.456219 + 0.889867i \(0.349203\pi\)
\(194\) 3.06219e7 3.83986e7i 0.301110 0.377580i
\(195\) 2.28771e8 2.12269e8i 2.20943 2.05005i
\(196\) −2.43426e7 + 7.50868e6i −0.230924 + 0.0712308i
\(197\) −1.35335e7 3.44827e7i −0.126118 0.321344i 0.853844 0.520530i \(-0.174265\pi\)
−0.979962 + 0.199186i \(0.936170\pi\)
\(198\) −1.16635e8 + 7.95202e7i −1.06782 + 0.728030i
\(199\) 6.34927e7 + 3.05765e7i 0.571134 + 0.275044i 0.697080 0.716993i \(-0.254482\pi\)
−0.125946 + 0.992037i \(0.540197\pi\)
\(200\) 1.21803e8 + 1.13017e8i 1.07660 + 0.998938i
\(201\) −1.54675e8 + 2.33135e7i −1.34349 + 0.202498i
\(202\) −1.10714e7 + 1.47738e8i −0.0945092 + 1.26114i
\(203\) −9.86078e7 + 2.51249e8i −0.827323 + 2.10798i
\(204\) 3.39197e6 + 1.48612e7i 0.0279734 + 0.122560i
\(205\) −2.18054e7 2.90973e8i −0.176777 2.35892i
\(206\) 5.19988e7 + 1.60395e7i 0.414436 + 0.127837i
\(207\) −1.88545e8 + 9.07983e7i −1.47747 + 0.711511i
\(208\) 5.50964e7 9.54298e7i 0.424524 0.735297i
\(209\) −1.55932e7 2.70082e7i −0.118147 0.204637i
\(210\) −4.93477e8 3.36447e8i −3.67705 2.50697i
\(211\) −2.03557e7 + 8.91843e7i −0.149176 + 0.653581i 0.843939 + 0.536439i \(0.180231\pi\)
−0.993115 + 0.117143i \(0.962626\pi\)
\(212\) −1.02928e7 1.55139e6i −0.0741922 0.0111827i
\(213\) −2.33263e7 2.92502e7i −0.165393 0.207396i
\(214\) −1.16441e8 −0.812187
\(215\) −6.76105e7 2.14741e8i −0.463959 1.47360i
\(216\) −4.98273e8 −3.36418
\(217\) 1.26120e7 + 1.58149e7i 0.0837865 + 0.105065i
\(218\) 2.10532e8 + 3.17326e7i 1.37632 + 0.207447i
\(219\) 6.33070e7 2.77366e8i 0.407284 1.78443i
\(220\) −1.54777e7 1.05525e7i −0.0979999 0.0668152i
\(221\) −3.68094e7 6.37557e7i −0.229396 0.397325i
\(222\) 3.99170e7 6.91383e7i 0.244863 0.424115i
\(223\) 1.43629e8 6.91683e7i 0.867314 0.417677i 0.0533392 0.998576i \(-0.483014\pi\)
0.813975 + 0.580900i \(0.197299\pi\)
\(224\) 7.58538e7 + 2.33978e7i 0.450930 + 0.139094i
\(225\) 4.71057e7 + 6.28582e8i 0.275699 + 3.67894i
\(226\) −5.11214e7 2.23978e8i −0.294594 1.29070i
\(227\) −3.29629e7 + 8.39881e7i −0.187040 + 0.476571i −0.993379 0.114883i \(-0.963351\pi\)
0.806339 + 0.591454i \(0.201446\pi\)
\(228\) 1.67967e6 2.24136e7i 0.00938537 0.125239i
\(229\) −1.54318e8 + 2.32598e7i −0.849168 + 0.127991i −0.559188 0.829041i \(-0.688887\pi\)
−0.289980 + 0.957033i \(0.593649\pi\)
\(230\) 1.19035e8 + 1.10448e8i 0.645099 + 0.598565i
\(231\) 2.76605e8 + 1.33206e8i 1.47645 + 0.711020i
\(232\) 2.31312e8 1.57706e8i 1.21616 0.829164i
\(233\) 1.28976e8 + 3.28626e8i 0.667980 + 1.70199i 0.711266 + 0.702923i \(0.248122\pi\)
−0.0432863 + 0.999063i \(0.513783\pi\)
\(234\) 4.69522e8 1.44828e8i 2.39553 0.738922i
\(235\) 1.06094e8 9.84406e7i 0.533276 0.494808i
\(236\) 63193.9 79242.7i 0.000312956 0.000392435i
\(237\) −4.45973e6 + 5.59232e6i −0.0217615 + 0.0272881i
\(238\) −1.03280e8 + 9.58301e7i −0.496590 + 0.460768i
\(239\) −1.45388e8 + 4.48461e7i −0.688865 + 0.212487i −0.619374 0.785096i \(-0.712614\pi\)
−0.0694910 + 0.997583i \(0.522138\pi\)
\(240\) 1.92555e8 + 4.90622e8i 0.899115 + 2.29091i
\(241\) −8.90700e7 + 6.07269e7i −0.409894 + 0.279461i −0.750662 0.660686i \(-0.770265\pi\)
0.340768 + 0.940147i \(0.389313\pi\)
\(242\) 1.32833e8 + 6.39688e7i 0.602491 + 0.290145i
\(243\) −5.51100e8 5.11346e8i −2.46382 2.28609i
\(244\) 1.21880e7 1.83704e6i 0.0537114 0.00809569i
\(245\) −4.39752e7 + 5.86809e8i −0.191041 + 2.54927i
\(246\) 2.30928e8 5.88395e8i 0.989017 2.51997i
\(247\) 2.41550e7 + 1.05830e8i 0.101992 + 0.446857i
\(248\) −1.56794e6 2.09227e7i −0.00652753 0.0871038i
\(249\) −1.03175e8 3.18252e7i −0.423522 0.130639i
\(250\) 1.22902e8 5.91867e7i 0.497474 0.239571i
\(251\) −8.35965e7 + 1.44793e8i −0.333680 + 0.577950i −0.983230 0.182368i \(-0.941624\pi\)
0.649551 + 0.760318i \(0.274957\pi\)
\(252\) 8.04081e7 + 1.39271e8i 0.316517 + 0.548224i
\(253\) −6.89659e7 4.70201e7i −0.267739 0.182542i
\(254\) −4.70581e7 + 2.06175e8i −0.180184 + 0.789437i
\(255\) 3.48187e8 + 5.24808e7i 1.31499 + 0.198203i
\(256\) −7.16878e7 8.98937e7i −0.267058 0.334880i
\(257\) 2.60539e8 0.957428 0.478714 0.877971i \(-0.341103\pi\)
0.478714 + 0.877971i \(0.341103\pi\)
\(258\) 6.98781e7 4.82663e8i 0.253321 1.74975i
\(259\) −1.26192e8 −0.451319
\(260\) 4.06536e7 + 5.09780e7i 0.143447 + 0.179877i
\(261\) 1.05019e9 + 1.58291e8i 3.65618 + 0.551080i
\(262\) −1.07471e8 + 4.70860e8i −0.369178 + 1.61747i
\(263\) 2.58625e8 + 1.76328e8i 0.876649 + 0.597689i 0.915840 0.401542i \(-0.131526\pi\)
−0.0391913 + 0.999232i \(0.512478\pi\)
\(264\) −1.59221e8 2.75779e8i −0.532583 0.922461i
\(265\) −1.20224e8 + 2.08235e8i −0.396855 + 0.687373i
\(266\) 1.87172e8 9.01371e7i 0.609753 0.293642i
\(267\) −8.78896e7 2.71103e7i −0.282584 0.0871657i
\(268\) −2.44229e6 3.25901e7i −0.00775042 0.103422i
\(269\) −4.46103e7 1.95451e8i −0.139734 0.612215i −0.995493 0.0948395i \(-0.969766\pi\)
0.855758 0.517375i \(-0.173091\pi\)
\(270\) −5.35864e8 + 1.36536e9i −1.65684 + 4.22157i
\(271\) −1.81595e7 + 2.42322e8i −0.0554258 + 0.739606i 0.898387 + 0.439205i \(0.144740\pi\)
−0.953813 + 0.300401i \(0.902879\pi\)
\(272\) 1.22942e8 1.85305e7i 0.370432 0.0558337i
\(273\) −7.83350e8 7.26842e8i −2.33016 2.16208i
\(274\) −4.74813e8 2.28658e8i −1.39443 0.671521i
\(275\) −2.07734e8 + 1.41631e8i −0.602342 + 0.410670i
\(276\) −2.19781e7 5.59993e7i −0.0629228 0.160325i
\(277\) 4.89957e7 1.51132e7i 0.138509 0.0427245i −0.224725 0.974422i \(-0.572149\pi\)
0.363235 + 0.931698i \(0.381672\pi\)
\(278\) 3.24524e8 3.01115e8i 0.905921 0.840572i
\(279\) 4.96269e7 6.22301e7i 0.136805 0.171548i
\(280\) 6.10542e8 7.65596e8i 1.66212 2.08423i
\(281\) 3.16254e8 2.93441e8i 0.850285 0.788949i −0.128956 0.991650i \(-0.541162\pi\)
0.979241 + 0.202701i \(0.0649720\pi\)
\(282\) 2.99591e8 9.24116e7i 0.795530 0.245389i
\(283\) −1.28483e8 3.27368e8i −0.336970 0.858586i −0.994459 0.105122i \(-0.966477\pi\)
0.657489 0.753464i \(-0.271619\pi\)
\(284\) 6.45840e6 4.40326e6i 0.0167306 0.0114067i
\(285\) −4.67787e8 2.25274e8i −1.19699 0.576441i
\(286\) 1.43665e8 + 1.33302e8i 0.363137 + 0.336942i
\(287\) −9.87972e8 + 1.48913e8i −2.46694 + 0.371831i
\(288\) 2.33423e7 3.11481e8i 0.0575797 0.768348i
\(289\) −1.19567e8 + 3.04651e8i −0.291386 + 0.742439i
\(290\) −1.83380e8 8.03441e8i −0.441529 1.93447i
\(291\) 3.14095e7 + 4.19130e8i 0.0747197 + 0.997065i
\(292\) 5.67999e7 + 1.75205e7i 0.133508 + 0.0411818i
\(293\) −1.35178e8 + 6.50985e7i −0.313957 + 0.151194i −0.584226 0.811591i \(-0.698602\pi\)
0.270269 + 0.962785i \(0.412888\pi\)
\(294\) −6.37371e8 + 1.10396e9i −1.46277 + 2.53360i
\(295\) −1.17065e6 2.02762e6i −0.00265491 0.00459843i
\(296\) 1.08148e8 + 7.37341e7i 0.242381 + 0.165252i
\(297\) 1.67771e8 7.35052e8i 0.371594 1.62806i
\(298\) −6.17477e8 9.30696e7i −1.35165 0.203728i
\(299\) 1.81146e8 + 2.27150e8i 0.391903 + 0.491431i
\(300\) −1.81203e8 −0.387472
\(301\) −7.15950e8 + 2.85812e8i −1.51321 + 0.604084i
\(302\) 5.70208e8 1.19127
\(303\) −7.90497e8 9.91252e8i −1.63249 2.04708i
\(304\) −1.81279e8 2.73234e7i −0.370075 0.0557798i
\(305\) 6.33564e7 2.77582e8i 0.127862 0.560199i
\(306\) 4.58060e8 + 3.12300e8i 0.913897 + 0.623085i
\(307\) −3.21518e8 5.56885e8i −0.634192 1.09845i −0.986686 0.162639i \(-0.948000\pi\)
0.352494 0.935814i \(-0.385334\pi\)
\(308\) −3.20718e7 + 5.55501e7i −0.0625455 + 0.108332i
\(309\) −4.19567e8 + 2.02053e8i −0.808997 + 0.389592i
\(310\) −5.90182e7 1.82047e7i −0.112518 0.0347071i
\(311\) 4.56878e7 + 6.09661e8i 0.0861269 + 1.14928i 0.858050 + 0.513567i \(0.171676\pi\)
−0.771923 + 0.635717i \(0.780705\pi\)
\(312\) 2.46645e8 + 1.08062e9i 0.459760 + 2.01434i
\(313\) −1.41983e8 + 3.61766e8i −0.261716 + 0.666841i −0.999970 0.00768130i \(-0.997555\pi\)
0.738255 + 0.674522i \(0.235650\pi\)
\(314\) 3.13968e7 4.18961e8i 0.0572310 0.763695i
\(315\) 3.67335e9 5.53668e8i 6.62178 0.998073i
\(316\) −1.09551e6 1.01649e6i −0.00195304 0.00181216i
\(317\) −4.77221e8 2.29817e8i −0.841418 0.405206i −0.0370330 0.999314i \(-0.511791\pi\)
−0.804385 + 0.594109i \(0.797505\pi\)
\(318\) −4.30365e8 + 2.93418e8i −0.750486 + 0.511673i
\(319\) 1.54764e8 + 3.94332e8i 0.266933 + 0.680134i
\(320\) −9.52122e8 + 2.93691e8i −1.62430 + 0.501032i
\(321\) 7.30468e8 6.77776e8i 1.23263 1.14372i
\(322\) 3.46675e8 4.34717e8i 0.578665 0.725623i
\(323\) −7.63641e7 + 9.57575e7i −0.126090 + 0.158112i
\(324\) 2.23965e8 2.07809e8i 0.365824 0.339435i
\(325\) 8.36250e8 2.57949e8i 1.35128 0.416814i
\(326\) −2.06817e8 5.26962e8i −0.330617 0.842398i
\(327\) −1.50544e9 + 1.02639e9i −2.38093 + 1.62329i
\(328\) 9.33712e8 + 4.49652e8i 1.46101 + 0.703587i
\(329\) −3.63282e8 3.37077e8i −0.562417 0.521847i
\(330\) −9.26919e8 + 1.39710e8i −1.41985 + 0.214008i
\(331\) 2.52985e7 3.37585e8i 0.0383439 0.511664i −0.944657 0.328061i \(-0.893605\pi\)
0.983000 0.183603i \(-0.0587760\pi\)
\(332\) 8.24160e6 2.09993e7i 0.0123603 0.0314935i
\(333\) 1.10494e8 + 4.84105e8i 0.163977 + 0.718430i
\(334\) 3.52346e7 + 4.70173e8i 0.0517436 + 0.690470i
\(335\) −7.21399e8 2.22522e8i −1.04838 0.323382i
\(336\) 1.62600e9 7.83040e8i 2.33848 1.12615i
\(337\) 4.91391e8 8.51114e8i 0.699395 1.21139i −0.269281 0.963062i \(-0.586786\pi\)
0.968676 0.248326i \(-0.0798805\pi\)
\(338\) −1.30635e7 2.26266e7i −0.0184013 0.0318721i
\(339\) 1.62443e9 + 1.10752e9i 2.26465 + 1.54401i
\(340\) −1.63706e7 + 7.17244e7i −0.0225886 + 0.0989670i
\(341\) 3.13931e7 + 4.73174e6i 0.0428739 + 0.00646221i
\(342\) −5.09675e8 6.39112e8i −0.688973 0.863944i
\(343\) 7.97264e8 1.06678
\(344\) 7.80576e8 + 1.73386e8i 1.03386 + 0.229646i
\(345\) −1.38964e9 −1.82194
\(346\) 5.60538e8 + 7.02893e8i 0.727510 + 0.912269i
\(347\) −4.85028e8 7.31061e7i −0.623180 0.0939292i −0.170140 0.985420i \(-0.554422\pi\)
−0.453039 + 0.891491i \(0.649660\pi\)
\(348\) −6.79367e7 + 2.97650e8i −0.0864127 + 0.378599i
\(349\) −4.28836e8 2.92375e8i −0.540010 0.368173i 0.262387 0.964963i \(-0.415490\pi\)
−0.802397 + 0.596790i \(0.796443\pi\)
\(350\) −8.37408e8 1.45043e9i −1.04400 1.80825i
\(351\) −1.31216e9 + 2.27272e9i −1.61961 + 2.80525i
\(352\) 1.12249e8 5.40562e7i 0.137177 0.0660611i
\(353\) 2.67076e8 + 8.23819e7i 0.323164 + 0.0996828i 0.452093 0.891971i \(-0.350678\pi\)
−0.128929 + 0.991654i \(0.541154\pi\)
\(354\) −379020. 5.05766e6i −0.000454099 0.00605953i
\(355\) −4.01791e7 1.76036e8i −0.0476652 0.208835i
\(356\) 7.02061e6 1.78882e7i 0.00824708 0.0210132i
\(357\) 9.01033e7 1.20235e9i 0.104810 1.39859i
\(358\) 2.66796e8 4.02130e7i 0.307319 0.0463208i
\(359\) −5.41319e8 5.02270e8i −0.617479 0.572937i 0.308164 0.951333i \(-0.400285\pi\)
−0.925644 + 0.378396i \(0.876476\pi\)
\(360\) −3.47160e9 1.67184e9i −3.92167 1.88858i
\(361\) −5.89336e8 + 4.01803e8i −0.659308 + 0.449508i
\(362\) 5.58348e8 + 1.42265e9i 0.618621 + 1.57622i
\(363\) −1.20565e9 + 3.71894e8i −1.32296 + 0.408080i
\(364\) 1.63666e8 1.51860e8i 0.177871 0.165040i
\(365\) 8.56099e8 1.07351e9i 0.921507 1.15553i
\(366\) 3.84555e8 4.82217e8i 0.409991 0.514113i
\(367\) 5.57992e8 5.17741e8i 0.589246 0.546740i −0.328196 0.944610i \(-0.606441\pi\)
0.917442 + 0.397869i \(0.130250\pi\)
\(368\) −4.68870e8 + 1.44627e8i −0.490439 + 0.151280i
\(369\) 1.43633e9 + 3.65972e9i 1.48821 + 3.79189i
\(370\) 3.18352e8 2.17049e8i 0.326739 0.222767i
\(371\) 7.41799e8 + 3.57231e8i 0.754184 + 0.363196i
\(372\) 1.67729e7 + 1.55630e7i 0.0168931 + 0.0156745i
\(373\) 6.43803e8 9.70377e7i 0.642351 0.0968188i 0.180214 0.983627i \(-0.442321\pi\)
0.462137 + 0.886809i \(0.347083\pi\)
\(374\) −1.65248e7 + 2.20508e8i −0.0163338 + 0.217959i
\(375\) −4.26493e8 + 1.08669e9i −0.417640 + 1.06413i
\(376\) 1.14383e8 + 5.01144e8i 0.110969 + 0.486189i
\(377\) −1.10189e8 1.47037e9i −0.105911 1.41329i
\(378\) 4.79926e9 + 1.48038e9i 4.57039 + 1.40978i
\(379\) −2.35403e8 + 1.13364e8i −0.222113 + 0.106964i −0.541631 0.840616i \(-0.682193\pi\)
0.319518 + 0.947580i \(0.396479\pi\)
\(380\) 5.42390e7 9.39446e7i 0.0507071 0.0878273i
\(381\) −9.04890e8 1.56732e9i −0.838221 1.45184i
\(382\) 7.32265e8 + 4.99250e8i 0.672120 + 0.458243i
\(383\) −3.17015e7 + 1.38893e8i −0.0288326 + 0.126324i −0.987296 0.158891i \(-0.949208\pi\)
0.958463 + 0.285215i \(0.0920652\pi\)
\(384\) −1.52636e9 2.30062e8i −1.37562 0.207341i
\(385\) 9.23833e8 + 1.15845e9i 0.825051 + 1.03458i
\(386\) −8.58894e8 −0.760123
\(387\) 1.72333e9 + 2.49631e9i 1.51140 + 2.18932i
\(388\) −8.78149e7 −0.0763233
\(389\) 7.28941e8 + 9.14063e8i 0.627868 + 0.787322i 0.989428 0.145027i \(-0.0463270\pi\)
−0.361559 + 0.932349i \(0.617756\pi\)
\(390\) 3.22635e9 + 4.86294e8i 2.75414 + 0.415120i
\(391\) −7.29448e7 + 3.19592e8i −0.0617128 + 0.270382i
\(392\) −1.72684e9 1.17734e9i −1.44794 0.987191i
\(393\) −2.06658e9 3.57942e9i −1.71743 2.97467i
\(394\) 1.93644e8 3.35401e8i 0.159502 0.276266i
\(395\) −3.11030e7 + 1.49784e7i −0.0253929 + 0.0122286i
\(396\) 2.41186e8 + 7.43960e7i 0.195172 + 0.0602027i
\(397\) 1.52930e8 + 2.04071e9i 0.122666 + 1.63687i 0.631052 + 0.775741i \(0.282623\pi\)
−0.508386 + 0.861130i \(0.669757\pi\)
\(398\) 1.63949e8 + 7.18307e8i 0.130352 + 0.571109i
\(399\) −6.49518e8 + 1.65494e9i −0.511901 + 1.30430i
\(400\) −1.10448e8 + 1.47383e9i −0.0862874 + 1.15143i
\(401\) −2.07081e9 + 3.12125e8i −1.60374 + 0.241726i −0.889083 0.457745i \(-0.848657\pi\)
−0.714661 + 0.699471i \(0.753419\pi\)
\(402\) −1.19883e9 1.11235e9i −0.920375 0.853984i
\(403\) −9.95616e7 4.79463e7i −0.0757747 0.0364912i
\(404\) 2.18867e8 1.49221e8i 0.165137 0.112589i
\(405\) −2.57842e9 6.56971e9i −1.92869 4.91421i
\(406\) −2.69650e9 + 8.31759e8i −1.99967 + 0.616817i
\(407\) −1.45186e8 + 1.34713e8i −0.106744 + 0.0990444i
\(408\) −7.79749e8 + 9.77775e8i −0.568387 + 0.712735i
\(409\) 1.41353e9 1.77251e9i 1.02158 1.28102i 0.0624553 0.998048i \(-0.480107\pi\)
0.959127 0.282976i \(-0.0913216\pi\)
\(410\) 2.23628e9 2.07496e9i 1.60244 1.48685i
\(411\) 4.30962e9 1.32934e9i 3.06191 0.944476i
\(412\) −3.55462e7 9.05703e7i −0.0250411 0.0638036i
\(413\) −6.62394e6 + 4.51612e6i −0.00462691 + 0.00315457i
\(414\) −1.97123e9 9.49294e8i −1.36533 0.657506i
\(415\) −3.81996e8 3.54440e8i −0.262355 0.243430i
\(416\) −4.28809e8 + 6.46326e7i −0.292037 + 0.0440175i
\(417\) −2.83120e8 + 3.77797e9i −0.191203 + 2.55142i
\(418\) 1.19121e8 3.03514e8i 0.0797755 0.203265i
\(419\) −2.27003e8 9.94565e8i −0.150759 0.660517i −0.992665 0.120894i \(-0.961424\pi\)
0.841907 0.539623i \(-0.181433\pi\)
\(420\) 7.98036e7 + 1.06491e9i 0.0525593 + 0.701356i
\(421\) 9.93806e8 + 3.06549e8i 0.649104 + 0.200222i 0.601786 0.798658i \(-0.294456\pi\)
0.0473186 + 0.998880i \(0.484932\pi\)
\(422\) −8.61685e8 + 4.14966e8i −0.558155 + 0.268794i
\(423\) −9.75020e8 + 1.68878e9i −0.626357 + 1.08488i
\(424\) −4.26999e8 7.39584e8i −0.272048 0.471202i
\(425\) 8.15835e8 + 5.56227e8i 0.515515 + 0.351472i
\(426\) 8.70382e7 3.81339e8i 0.0545477 0.238989i
\(427\) −9.64041e8 1.45306e8i −0.599236 0.0903203i
\(428\) 1.29807e8 + 1.62773e8i 0.0800287 + 0.100353i
\(429\) −1.67718e9 −1.02560
\(430\) 1.31457e9 1.95245e9i 0.797343 1.18424i
\(431\) 1.12204e8 0.0675053 0.0337527 0.999430i \(-0.489254\pi\)
0.0337527 + 0.999430i \(0.489254\pi\)
\(432\) −2.76334e9 3.46512e9i −1.64908 2.06788i
\(433\) −1.05882e9 1.59592e8i −0.626780 0.0944719i −0.172031 0.985092i \(-0.555033\pi\)
−0.454749 + 0.890620i \(0.650271\pi\)
\(434\) −4.70595e7 + 2.06181e8i −0.0276333 + 0.121070i
\(435\) 5.82706e9 + 3.97282e9i 3.39420 + 2.31413i
\(436\) −1.90341e8 3.29680e8i −0.109984 0.190498i
\(437\) 2.41680e8 4.18602e8i 0.138534 0.239947i
\(438\) 2.67987e9 1.29056e9i 1.52389 0.733868i
\(439\) −1.62668e9 5.01766e8i −0.917651 0.283058i −0.200271 0.979740i \(-0.564182\pi\)
−0.717379 + 0.696683i \(0.754659\pi\)
\(440\) −1.14852e8 1.53260e9i −0.0642770 0.857717i
\(441\) −1.76430e9 7.72989e9i −0.979573 4.29179i
\(442\) 2.81196e8 7.16477e8i 0.154893 0.394661i
\(443\) −1.92729e8 + 2.57179e9i −0.105326 + 1.40547i 0.654851 + 0.755758i \(0.272731\pi\)
−0.760177 + 0.649716i \(0.774888\pi\)
\(444\) −1.41148e8 + 2.12747e7i −0.0765306 + 0.0115351i
\(445\) −3.25403e8 3.01930e8i −0.175050 0.162422i
\(446\) 1.50164e9 + 7.23153e8i 0.801484 + 0.385974i
\(447\) 4.41536e9 3.01034e9i 2.33825 1.59419i
\(448\) 1.24647e9 + 3.17595e9i 0.654950 + 1.66879i
\(449\) −6.30944e8 + 1.94621e8i −0.328949 + 0.101467i −0.454831 0.890578i \(-0.650300\pi\)
0.125882 + 0.992045i \(0.459824\pi\)
\(450\) −4.83099e9 + 4.48250e9i −2.49915 + 2.31887i
\(451\) −9.77710e8 + 1.22601e9i −0.501871 + 0.629327i
\(452\) −2.56110e8 + 3.21152e8i −0.130450 + 0.163578i
\(453\) −3.57710e9 + 3.31906e9i −1.80795 + 1.67753i
\(454\) −9.01393e8 + 2.78043e8i −0.452083 + 0.139449i
\(455\) −1.88423e9 4.80093e9i −0.937763 2.38938i
\(456\) 1.52363e9 1.03879e9i 0.752491 0.513040i
\(457\) 2.38888e9 + 1.15043e9i 1.17081 + 0.563835i 0.915222 0.402950i \(-0.132015\pi\)
0.255593 + 0.966785i \(0.417729\pi\)
\(458\) −1.19606e9 1.10978e9i −0.581734 0.539770i
\(459\) −2.92794e9 + 4.41316e8i −1.41325 + 0.213013i
\(460\) 2.16970e7 2.89527e8i 0.0103932 0.138687i
\(461\) 1.04095e9 2.65231e9i 0.494855 1.26087i −0.437465 0.899235i \(-0.644124\pi\)
0.932320 0.361634i \(-0.117781\pi\)
\(462\) 7.14241e8 + 3.12929e9i 0.336975 + 1.47638i
\(463\) −2.09797e7 2.79954e8i −0.00982348 0.131085i 0.990136 0.140111i \(-0.0447460\pi\)
−0.999959 + 0.00902590i \(0.997127\pi\)
\(464\) 2.37955e9 + 7.33994e8i 1.10581 + 0.341098i
\(465\) 4.76206e8 2.29329e8i 0.219639 0.105773i
\(466\) −1.84546e9 + 3.19643e9i −0.844799 + 1.46323i
\(467\) 9.89736e8 + 1.71427e9i 0.449687 + 0.778881i 0.998365 0.0571527i \(-0.0182022\pi\)
−0.548678 + 0.836034i \(0.684869\pi\)
\(468\) −7.25878e8 4.94895e8i −0.327343 0.223179i
\(469\) −5.75224e8 + 2.52022e9i −0.257473 + 1.12806i
\(470\) 1.49624e9 + 2.25521e8i 0.664749 + 0.100195i
\(471\) 2.24172e9 + 2.81103e9i 0.988572 + 1.23963i
\(472\) 8.31555e6 0.00363994
\(473\) −5.18602e8 + 1.09312e9i −0.225331 + 0.474959i
\(474\) −7.47829e7 −0.0322536
\(475\) −9.07765e8 1.13830e9i −0.388638 0.487337i
\(476\) 2.49098e8 + 3.75455e7i 0.105863 + 0.0159563i
\(477\) 7.20910e8 3.15851e9i 0.304135 1.33250i
\(478\) −1.31429e9 8.96069e8i −0.550420 0.375270i
\(479\) 1.47798e9 + 2.55994e9i 0.614461 + 1.06428i 0.990479 + 0.137666i \(0.0439599\pi\)
−0.376018 + 0.926613i \(0.622707\pi\)
\(480\) 1.03709e9 1.79629e9i 0.428027 0.741364i
\(481\) 6.21114e8 2.99113e8i 0.254486 0.122554i
\(482\) −1.07699e9 3.32208e8i −0.438075 0.135128i
\(483\) 3.55592e8 + 4.74504e9i 0.143594 + 1.91613i
\(484\) −5.86585e7 2.57000e8i −0.0235165 0.103032i
\(485\) −7.41100e8 + 1.88829e9i −0.294972 + 0.751576i
\(486\) 5.87373e8 7.83795e9i 0.232106 3.09725i
\(487\) 1.03732e9 1.56351e8i 0.406968 0.0613406i 0.0576318 0.998338i \(-0.481645\pi\)
0.349337 + 0.936997i \(0.386407\pi\)
\(488\) 7.41291e8 + 6.87818e8i 0.288748 + 0.267919i
\(489\) 4.36476e9 + 2.10196e9i 1.68803 + 0.812911i
\(490\) −5.08325e9 + 3.46570e9i −1.95189 + 1.33078i
\(491\) −5.18477e8 1.32106e9i −0.197671 0.503659i 0.797327 0.603547i \(-0.206247\pi\)
−0.994999 + 0.0998887i \(0.968151\pi\)
\(492\) −1.07996e9 + 3.33123e8i −0.408818 + 0.126104i
\(493\) 1.21955e9 1.13158e9i 0.458391 0.425325i
\(494\) −7.07600e8 + 8.87303e8i −0.264085 + 0.331152i
\(495\) 3.63519e9 4.55839e9i 1.34713 1.68925i
\(496\) 1.36806e8 1.26938e8i 0.0503409 0.0467095i
\(497\) −5.90810e8 + 1.82241e8i −0.215874 + 0.0665883i
\(498\) −4.12412e8 1.05081e9i −0.149634 0.381260i
\(499\) 4.05107e9 2.76197e9i 1.45955 0.995103i 0.465629 0.884980i \(-0.345828\pi\)
0.993918 0.110123i \(-0.0351244\pi\)
\(500\) −2.19749e8 1.05825e8i −0.0786196 0.0378612i
\(501\) −2.95782e9 2.74445e9i −1.05085 0.975042i
\(502\) −1.72847e9 + 2.60526e8i −0.609818 + 0.0919152i
\(503\) 7.23211e7 9.65059e8i 0.0253383 0.338116i −0.970100 0.242706i \(-0.921965\pi\)
0.995438 0.0954097i \(-0.0304161\pi\)
\(504\) −4.82029e9 + 1.22819e10i −1.67713 + 4.27325i
\(505\) −1.36162e9 5.96564e9i −0.470474 2.06128i
\(506\) −6.52150e7 8.70233e8i −0.0223780 0.298613i
\(507\) 2.13656e8 + 6.59040e7i 0.0728092 + 0.0224587i
\(508\) 3.40674e8 1.64060e8i 0.115296 0.0555238i
\(509\) 1.40293e9 2.42994e9i 0.471545 0.816740i −0.527925 0.849291i \(-0.677030\pi\)
0.999470 + 0.0325507i \(0.0103630\pi\)
\(510\) 1.84070e9 + 3.18819e9i 0.614453 + 1.06426i
\(511\) −3.88467e9 2.64852e9i −1.28790 0.878073i
\(512\) 7.58886e8 3.32490e9i 0.249880 1.09480i
\(513\) 4.31727e9 + 6.50724e8i 1.41188 + 0.212807i
\(514\) 1.69834e9 + 2.12965e9i 0.551637 + 0.691731i
\(515\) −2.24753e9 −0.725070
\(516\) −7.52619e8 + 4.40387e8i −0.241158 + 0.141111i
\(517\) −7.77800e8 −0.247543
\(518\) −8.22593e8 1.03150e9i −0.260035 0.326073i
\(519\) −7.60783e9 1.14670e9i −2.38877 0.360050i
\(520\) −1.19038e9 + 5.21540e9i −0.371256 + 1.62658i
\(521\) 2.13271e9 + 1.45406e9i 0.660693 + 0.450453i 0.846682 0.532099i \(-0.178597\pi\)
−0.185989 + 0.982552i \(0.559549\pi\)
\(522\) 5.55188e9 + 9.61614e9i 1.70841 + 2.95906i
\(523\) −1.95024e8 + 3.37791e8i −0.0596117 + 0.103250i −0.894291 0.447486i \(-0.852320\pi\)
0.834679 + 0.550736i \(0.185653\pi\)
\(524\) 7.78028e8 3.74678e8i 0.236230 0.113762i
\(525\) 1.36960e10 + 4.22465e9i 4.13081 + 1.27419i
\(526\) 2.44559e8 + 3.26342e9i 0.0732713 + 0.977738i
\(527\) −2.77445e7 1.21557e8i −0.00825734 0.0361778i
\(528\) 1.03483e9 2.63669e9i 0.305949 0.779545i
\(529\) −1.57765e8 + 2.10522e9i −0.0463356 + 0.618305i
\(530\) −2.48581e9 + 3.74675e8i −0.725273 + 0.109317i
\(531\) 2.31249e7 + 2.14567e7i 0.00670268 + 0.00621918i
\(532\) −3.34661e8 1.61164e8i −0.0963640 0.0464064i
\(533\) 4.50979e9 3.07473e9i 1.29006 0.879551i
\(534\) −3.51314e8 8.95133e8i −0.0998391 0.254386i
\(535\) 4.59562e9 1.41756e9i 1.29749 0.400224i
\(536\) 1.96554e9 1.82375e9i 0.551321 0.511551i
\(537\) −1.43963e9 + 1.80523e9i −0.401180 + 0.503064i
\(538\) 1.30682e9 1.63870e9i 0.361809 0.453694i
\(539\) 2.31825e9 2.15102e9i 0.637675 0.591676i
\(540\) 2.50603e9 7.73007e8i 0.684869 0.211254i
\(541\) 1.58842e9 + 4.04722e9i 0.431295 + 1.09892i 0.967059 + 0.254554i \(0.0819285\pi\)
−0.535764 + 0.844368i \(0.679976\pi\)
\(542\) −2.09912e9 + 1.43116e9i −0.566292 + 0.386091i
\(543\) −1.17836e10 5.67469e9i −3.15849 1.52105i
\(544\) −3.58675e8 3.32802e8i −0.0955223 0.0886318i
\(545\) −8.69548e9 + 1.31063e9i −2.30094 + 0.346811i
\(546\) 8.34910e8 1.11411e10i 0.219516 2.92923i
\(547\) 1.65233e9 4.21006e9i 0.431658 1.09985i −0.535244 0.844698i \(-0.679780\pi\)
0.966902 0.255149i \(-0.0821246\pi\)
\(548\) 2.09676e8 + 9.18653e8i 0.0544274 + 0.238462i
\(549\) 2.86684e8 + 3.82553e9i 0.0739435 + 0.986707i
\(550\) −2.51182e9 7.74795e8i −0.643753 0.198572i
\(551\) −2.21015e9 + 1.06435e9i −0.562849 + 0.271054i
\(552\) 2.46778e9 4.27432e9i 0.624482 1.08163i
\(553\) 5.91040e7 + 1.02371e8i 0.0148621 + 0.0257418i
\(554\) 4.42918e8 + 3.01976e8i 0.110672 + 0.0754551i
\(555\) −7.33728e8 + 3.21467e9i −0.182184 + 0.798199i
\(556\) −7.82709e8 1.17974e8i −0.193125 0.0291089i
\(557\) 2.89794e9 + 3.63390e9i 0.710551 + 0.891003i 0.997762 0.0668641i \(-0.0212994\pi\)
−0.287211 + 0.957867i \(0.592728\pi\)
\(558\) 8.32167e8 0.202764
\(559\) 2.84642e9 3.10377e9i 0.689221 0.751532i
\(560\) 8.71012e9 2.09588
\(561\) −1.17987e9 1.47951e9i −0.282139 0.353791i
\(562\) 4.46013e9 + 6.72256e8i 1.05991 + 0.159756i
\(563\) −1.16096e9 + 5.08648e9i −0.274181 + 1.20126i 0.630846 + 0.775908i \(0.282708\pi\)
−0.905026 + 0.425355i \(0.860149\pi\)
\(564\) −4.63165e8 3.15781e8i −0.108707 0.0741155i
\(565\) 4.74436e9 + 8.21748e9i 1.10665 + 1.91677i
\(566\) 1.83839e9 3.18419e9i 0.426168 0.738145i
\(567\) −2.17731e10 + 1.04854e10i −5.01625 + 2.41570i
\(568\) 6.12813e8 + 1.89028e8i 0.140316 + 0.0432819i
\(569\) 1.39581e8 + 1.86259e9i 0.0317640 + 0.423861i 0.990305 + 0.138907i \(0.0443591\pi\)
−0.958541 + 0.284953i \(0.908022\pi\)
\(570\) −1.20790e9 5.29217e9i −0.273193 1.19694i
\(571\) 3.22603e9 8.21978e9i 0.725173 1.84771i 0.248494 0.968633i \(-0.420064\pi\)
0.476679 0.879077i \(-0.341840\pi\)
\(572\) 2.61865e7 3.49435e8i 0.00585048 0.0780693i
\(573\) −7.49976e9 + 1.13041e9i −1.66535 + 0.251012i
\(574\) −7.65738e9 7.10501e9i −1.69001 1.56810i
\(575\) −3.51089e9 1.69076e9i −0.770158 0.370888i
\(576\) 1.10923e10 7.56262e9i 2.41849 1.64890i
\(577\) 1.05266e9 + 2.68214e9i 0.228126 + 0.581255i 0.998405 0.0564516i \(-0.0179787\pi\)
−0.770280 + 0.637706i \(0.779883\pi\)
\(578\) −3.26964e9 + 1.00855e9i −0.704291 + 0.217245i
\(579\) 5.38812e9 4.99944e9i 1.15362 1.07040i
\(580\) −9.18706e8 + 1.15202e9i −0.195514 + 0.245167i
\(581\) −1.11252e9 + 1.39505e9i −0.235337 + 0.295104i
\(582\) −3.22124e9 + 2.98887e9i −0.677318 + 0.628459i
\(583\) 1.23481e9 3.80887e8i 0.258082 0.0796079i
\(584\) 1.78167e9 + 4.53962e9i 0.370154 + 0.943137i
\(585\) −1.67677e10 + 1.14320e10i −3.46281 + 2.36090i
\(586\) −1.41329e9 6.80603e8i −0.290127 0.139718i
\(587\) −1.29051e9 1.19742e9i −0.263347 0.244350i 0.537436 0.843304i \(-0.319393\pi\)
−0.800784 + 0.598954i \(0.795583\pi\)
\(588\) 2.25377e9 3.39702e8i 0.457182 0.0689091i
\(589\) −1.37388e7 + 1.83332e8i −0.00277042 + 0.0369687i
\(590\) 8.94289e6 2.27861e7i 0.00179265 0.00456760i
\(591\) 7.37509e8 + 3.23124e9i 0.146964 + 0.643891i
\(592\) 8.70055e7 + 1.16101e9i 0.0172354 + 0.229990i
\(593\) −4.27610e9 1.31900e9i −0.842085 0.259749i −0.156442 0.987687i \(-0.550003\pi\)
−0.685643 + 0.727938i \(0.740479\pi\)
\(594\) 7.10196e9 3.42013e9i 1.39036 0.669560i
\(595\) 2.90957e9 5.03952e9i 0.566264 0.980799i
\(596\) 5.58257e8 + 9.66930e8i 0.108012 + 0.187082i
\(597\) −5.20961e9 3.55185e9i −1.00206 0.683195i
\(598\) −6.75916e8 + 2.96138e9i −0.129252 + 0.566292i
\(599\) −4.22030e9 6.36108e8i −0.802324 0.120931i −0.264936 0.964266i \(-0.585351\pi\)
−0.537388 + 0.843335i \(0.680589\pi\)
\(600\) −9.26914e9 1.16231e10i −1.75190 2.19682i
\(601\) −1.02424e9 −0.192461 −0.0962303 0.995359i \(-0.530679\pi\)
−0.0962303 + 0.995359i \(0.530679\pi\)
\(602\) −7.00321e9 3.98912e9i −1.30831 0.745228i
\(603\) 1.01719e10 1.88925
\(604\) −6.35665e8 7.97099e8i −0.117381 0.147192i
\(605\) −6.02133e9 9.07570e8i −1.10548 0.166624i
\(606\) 2.94961e9 1.29231e10i 0.538407 2.35892i
\(607\) −2.65621e9 1.81097e9i −0.482060 0.328663i 0.297788 0.954632i \(-0.403751\pi\)
−0.779848 + 0.625969i \(0.784704\pi\)
\(608\) 3.60731e8 + 6.24805e8i 0.0650910 + 0.112741i
\(609\) 1.20745e10 2.09136e10i 2.16625 3.75205i
\(610\) 2.68196e9 1.29156e9i 0.478407 0.230389i
\(611\) 2.58703e9 + 7.97994e8i 0.458836 + 0.141532i
\(612\) −7.40761e7 9.88477e8i −0.0130632 0.174316i
\(613\) 2.93134e7 + 1.28430e8i 0.00513989 + 0.0225193i 0.977433 0.211246i \(-0.0677523\pi\)
−0.972293 + 0.233766i \(0.924895\pi\)
\(614\) 2.45616e9 6.25819e9i 0.428220 1.09109i
\(615\) −1.95097e9 + 2.60338e10i −0.338210 + 4.51310i
\(616\) −5.20380e9 + 7.84347e8i −0.896991 + 0.135200i
\(617\) 1.99524e9 + 1.85132e9i 0.341978 + 0.317309i 0.832399 0.554176i \(-0.186967\pi\)
−0.490421 + 0.871485i \(0.663157\pi\)
\(618\) −4.38657e9 2.11246e9i −0.747593 0.360022i
\(619\) −8.26786e9 + 5.63693e9i −1.40112 + 0.955268i −0.401905 + 0.915681i \(0.631652\pi\)
−0.999216 + 0.0395869i \(0.987396\pi\)
\(620\) 4.03447e7 + 1.02797e8i 0.00679854 + 0.0173224i
\(621\) 1.11664e10 3.44439e9i 1.87109 0.577154i
\(622\) −4.68557e9 + 4.34757e9i −0.780721 + 0.724404i
\(623\) −9.47699e8 + 1.18838e9i −0.157023 + 0.196900i
\(624\) −6.14708e9 + 7.70819e9i −1.01280 + 1.27001i
\(625\) 2.07451e9 1.92487e9i 0.339888 0.315370i
\(626\) −3.88261e9 + 1.19763e9i −0.632577 + 0.195124i
\(627\) 1.01941e9 + 2.59742e9i 0.165163 + 0.420829i
\(628\) −6.20670e8 + 4.23166e8i −0.100000 + 0.0681792i
\(629\) 7.00802e8 + 3.37488e8i 0.112284 + 0.0540731i
\(630\) 2.84707e10 + 2.64169e10i 4.53634 + 4.20911i
\(631\) 8.17764e9 1.23258e9i 1.29576 0.195305i 0.535286 0.844671i \(-0.320204\pi\)
0.760476 + 0.649366i \(0.224966\pi\)
\(632\) 9.16269e6 1.22268e8i 0.00144382 0.0192664i
\(633\) 2.99020e9 7.61890e9i 0.468583 1.19393i
\(634\) −1.23226e9 5.39890e9i −0.192040 0.841381i
\(635\) −6.52732e8 8.71010e9i −0.101164 1.34994i
\(636\) 8.89941e8 + 2.74510e8i 0.137171 + 0.0423116i
\(637\) −9.91757e9 + 4.77605e9i −1.52026 + 0.732118i
\(638\) −2.21444e9 + 3.83552e9i −0.337592 + 0.584726i
\(639\) 1.21643e9 + 2.10692e9i 0.184431 + 0.319444i
\(640\) −6.15537e9 4.19666e9i −0.928163 0.632810i
\(641\) 2.04480e9 8.95886e9i 0.306653 1.34354i −0.553223 0.833033i \(-0.686602\pi\)
0.859876 0.510503i \(-0.170541\pi\)
\(642\) 1.03018e10 + 1.55274e9i 1.53652 + 0.231594i
\(643\) 9.83687e8 + 1.23350e9i 0.145921 + 0.182979i 0.849421 0.527716i \(-0.176952\pi\)
−0.703499 + 0.710696i \(0.748380\pi\)
\(644\) −9.94167e8 −0.146676
\(645\) 3.11808e9 + 1.99002e10i 0.457539 + 2.92011i
\(646\) −1.28051e9 −0.186883
\(647\) 7.51006e9 + 9.41732e9i 1.09013 + 1.36698i 0.924672 + 0.380764i \(0.124339\pi\)
0.165459 + 0.986217i \(0.447090\pi\)
\(648\) 2.47863e10 + 3.73594e9i 3.57849 + 0.539370i
\(649\) −2.79988e6 + 1.22671e7i −0.000402053 + 0.00176151i
\(650\) 7.55964e9 + 5.15408e9i 1.07970 + 0.736129i
\(651\) −9.04918e8 1.56736e9i −0.128551 0.222657i
\(652\) −5.06085e8 + 8.76566e8i −0.0715084 + 0.123856i
\(653\) 8.99463e9 4.33158e9i 1.26412 0.608766i 0.322856 0.946448i \(-0.395357\pi\)
0.941260 + 0.337682i \(0.109643\pi\)
\(654\) −1.82031e10 5.61491e9i −2.54462 0.784912i
\(655\) −1.49070e9 1.98920e10i −0.207275 2.76589i
\(656\) 2.05122e9 + 8.98697e9i 0.283693 + 1.24294i
\(657\) −6.75898e9 + 1.72216e10i −0.929827 + 2.36916i
\(658\) 3.87194e8 5.16674e9i 0.0529831 0.707010i
\(659\) 9.35474e9 1.41000e9i 1.27331 0.191920i 0.522612 0.852571i \(-0.324958\pi\)
0.750693 + 0.660651i \(0.229720\pi\)
\(660\) 1.22863e9 + 1.14000e9i 0.166347 + 0.154348i
\(661\) −2.87807e9 1.38601e9i −0.387611 0.186664i 0.229921 0.973209i \(-0.426153\pi\)
−0.617532 + 0.786546i \(0.711868\pi\)
\(662\) 2.92434e9 1.99378e9i 0.391764 0.267100i
\(663\) 2.40642e9 + 6.13147e9i 0.320682 + 0.817085i
\(664\) 1.76857e9 5.45531e8i 0.234441 0.0723155i
\(665\) −6.28986e9 + 5.83613e9i −0.829402 + 0.769572i
\(666\) −3.23683e9 + 4.05885e9i −0.424580 + 0.532406i
\(667\) −4.09360e9 + 5.13322e9i −0.534153 + 0.669806i
\(668\) 6.17980e8 5.73401e8i 0.0802152 0.0744288i
\(669\) −1.36296e10 + 4.20418e9i −1.75992 + 0.542862i
\(670\) −2.88359e9 7.34727e9i −0.370401 0.943765i
\(671\) −1.26426e9 + 8.61960e8i −0.161551 + 0.110143i
\(672\) −6.39895e9 3.08157e9i −0.813423 0.391724i
\(673\) −2.18130e9 2.02395e9i −0.275844 0.255946i 0.530104 0.847933i \(-0.322153\pi\)
−0.805947 + 0.591987i \(0.798344\pi\)
\(674\) 1.01602e10 1.53140e9i 1.27818 0.192655i
\(675\) 2.63039e9 3.51001e10i 0.329198 4.39284i
\(676\) −1.70668e7 + 4.34855e7i −0.00212490 + 0.00541416i
\(677\) −3.02951e9 1.32731e10i −0.375242 1.64404i −0.711802 0.702380i \(-0.752121\pi\)
0.336560 0.941662i \(-0.390737\pi\)
\(678\) 1.53608e9 + 2.04975e10i 0.189282 + 2.52579i
\(679\) 6.63738e9 + 2.04736e9i 0.813677 + 0.250986i
\(680\) −5.43812e9 + 2.61886e9i −0.663235 + 0.319397i
\(681\) 4.03629e9 6.99107e9i 0.489743 0.848259i
\(682\) 1.65961e8 + 2.87452e8i 0.0200336 + 0.0346993i
\(683\) 7.41675e9 + 5.05666e9i 0.890720 + 0.607283i 0.919840 0.392293i \(-0.128318\pi\)
−0.0291200 + 0.999576i \(0.509271\pi\)
\(684\) −3.25237e8 + 1.42496e9i −0.0388601 + 0.170257i
\(685\) 2.15234e10 + 3.24413e9i 2.55855 + 0.385640i
\(686\) 5.19702e9 + 6.51686e9i 0.614639 + 0.770733i
\(687\) 1.39631e10 1.64298
\(688\) 3.12318e9 + 6.38990e9i 0.365626 + 0.748057i
\(689\) −4.49785e9 −0.523887
\(690\) −9.05846e9 1.13589e10i −1.04974 1.31633i
\(691\) −3.24749e9 4.89480e8i −0.374433 0.0564367i −0.0408699 0.999164i \(-0.513013\pi\)
−0.333563 + 0.942728i \(0.608251\pi\)
\(692\) 3.57695e8 1.56716e9i 0.0410338 0.179781i
\(693\) −1.64952e10 1.12462e10i −1.88275 1.28363i
\(694\) −2.56412e9 4.44118e9i −0.291192 0.504359i
\(695\) −9.14236e9 + 1.58350e10i −1.03303 + 1.78926i
\(696\) −2.25678e10 + 1.08681e10i −2.53721 + 1.22186i
\(697\) 5.88490e9 + 1.81525e9i 0.658301 + 0.203059i
\(698\) −4.05512e8 5.41118e9i −0.0451346 0.602280i
\(699\) −7.02857e9 3.07942e10i −0.778390 3.41035i
\(700\) −1.09403e9 + 2.78755e9i −0.120556 + 0.307171i
\(701\) −9.82330e8 + 1.31083e10i −0.107707 + 1.43725i 0.637516 + 0.770437i \(0.279962\pi\)
−0.745224 + 0.666815i \(0.767657\pi\)
\(702\) −2.71307e10 + 4.08929e9i −2.95993 + 0.446137i
\(703\) −8.40751e8 7.80103e8i −0.0912691 0.0846854i
\(704\) 4.82448e9 + 2.32335e9i 0.521131 + 0.250963i
\(705\) −1.06991e10 + 7.29451e9i −1.14996 + 0.784033i
\(706\) 1.06756e9 + 2.72010e9i 0.114176 + 0.290916i
\(707\) −2.00218e10 + 6.17590e9i −2.13076 + 0.657252i
\(708\) −6.64762e6 + 6.16809e6i −0.000703963 + 0.000653183i
\(709\) −8.71817e9 + 1.09322e10i −0.918679 + 1.15199i 0.0693306 + 0.997594i \(0.477914\pi\)
−0.988009 + 0.154393i \(0.950658\pi\)
\(710\) 1.17701e9 1.47593e9i 0.123418 0.154761i
\(711\) 3.40970e8 3.16374e8i 0.0355772 0.0330108i
\(712\) 1.50656e9 4.64711e8i 0.156425 0.0482506i
\(713\) 1.79769e8 + 4.58045e8i 0.0185739 + 0.0473254i
\(714\) 1.04154e10 7.10107e9i 1.07085 0.730096i
\(715\) −7.29294e9 3.51209e9i −0.746159 0.359331i
\(716\) −3.53637e8 3.28127e8i −0.0360050 0.0334077i
\(717\) 1.34608e10 2.02889e9i 1.36381 0.205561i
\(718\) 5.76948e8 7.69884e9i 0.0581703 0.776229i
\(719\) −6.23178e8 + 1.58783e9i −0.0625261 + 0.159314i −0.958722 0.284344i \(-0.908224\pi\)
0.896196 + 0.443658i \(0.146319\pi\)
\(720\) −7.62657e9 3.34142e10i −0.761492 3.33631i
\(721\) 5.75115e8 + 7.67438e9i 0.0571454 + 0.762553i
\(722\) −7.12598e9 2.19807e9i −0.704635 0.217351i
\(723\) 8.69003e9 4.18490e9i 0.855140 0.411814i
\(724\) 1.36629e9 2.36648e9i 0.133800 0.231749i
\(725\) 9.88826e9 + 1.71270e10i 0.963689 + 1.66916i
\(726\) −1.08990e10 7.43080e9i −1.05708 0.720705i
\(727\) −2.63006e9 + 1.15230e10i −0.253860 + 1.11223i 0.673831 + 0.738886i \(0.264648\pi\)
−0.927691 + 0.373349i \(0.878210\pi\)
\(728\) 1.81130e10 + 2.73010e9i 1.73993 + 0.262252i
\(729\) 1.96521e10 + 2.46430e10i 1.87873 + 2.35585i
\(730\) 1.43555e10 1.36580
\(731\) 4.74037e9 + 3.27497e8i 0.448850 + 0.0310096i
\(732\) −1.10279e9 −0.103922
\(733\) −4.20379e8 5.27138e8i −0.0394255 0.0494380i 0.761728 0.647897i \(-0.224351\pi\)
−0.801153 + 0.598459i \(0.795780\pi\)
\(734\) 7.86934e9 + 1.18611e9i 0.734517 + 0.110711i
\(735\) 1.17157e10 5.13300e10i 1.08834 4.76832i
\(736\) 1.59545e9 + 1.08776e9i 0.147506 + 0.100568i
\(737\) 2.02859e9 + 3.51362e9i 0.186663 + 0.323310i
\(738\) −2.05518e10 + 3.55968e10i −1.88214 + 3.25997i
\(739\) 7.71053e8 3.71320e8i 0.0702795 0.0338448i −0.398414 0.917206i \(-0.630439\pi\)
0.468693 + 0.883361i \(0.344725\pi\)
\(740\) −6.58311e8 2.03062e8i −0.0597200 0.0184212i
\(741\) −7.25799e8 9.68512e9i −0.0655319 0.874463i
\(742\) 1.91545e9 + 8.39213e9i 0.172130 + 0.754151i
\(743\) 3.47453e9 8.85297e9i 0.310768 0.791823i −0.687101 0.726562i \(-0.741117\pi\)
0.997868 0.0652608i \(-0.0207879\pi\)
\(744\) −1.40286e8 + 1.87199e9i −0.0124885 + 0.166647i
\(745\) 2.55033e10 3.84400e9i 2.25969 0.340594i
\(746\) 4.98987e9 + 4.62992e9i 0.440051 + 0.408308i
\(747\) 6.32589e9 + 3.04639e9i 0.555264 + 0.267401i
\(748\) 3.26672e8 2.22721e8i 0.0285402 0.0194584i
\(749\) −6.01635e9 1.53294e10i −0.523174 1.33303i
\(750\) −1.16627e10 + 3.59747e9i −1.00945 + 0.311375i
\(751\) 3.51466e9 3.26112e9i 0.302791 0.280949i −0.514113 0.857722i \(-0.671879\pi\)
0.816904 + 0.576773i \(0.195688\pi\)