Properties

Label 43.10.g.a.9.8
Level 43
Weight 10
Character 43.9
Analytic conductor 22.147
Analytic rank 0
Dimension 384
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(32\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.8
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-16.6235 - 20.8452i) q^{2} +(172.616 + 26.0176i) q^{3} +(-44.2510 + 193.876i) q^{4} +(-1824.53 - 1243.94i) q^{5} +(-2327.13 - 4030.71i) q^{6} +(5716.05 - 9900.48i) q^{7} +(-7522.08 + 3622.44i) q^{8} +(10310.8 + 3180.45i) q^{9} +O(q^{10})\) \(q+(-16.6235 - 20.8452i) q^{2} +(172.616 + 26.0176i) q^{3} +(-44.2510 + 193.876i) q^{4} +(-1824.53 - 1243.94i) q^{5} +(-2327.13 - 4030.71i) q^{6} +(5716.05 - 9900.48i) q^{7} +(-7522.08 + 3622.44i) q^{8} +(10310.8 + 3180.45i) q^{9} +(4399.80 + 58711.2i) q^{10} +(12668.8 + 55505.5i) q^{11} +(-12682.6 + 32314.8i) q^{12} +(11329.9 - 151188. i) q^{13} +(-301398. + 45428.4i) q^{14} +(-282578. - 262194. i) q^{15} +(292288. + 140759. i) q^{16} +(213675. - 145681. i) q^{17} +(-105104. - 267800. i) q^{18} +(-741818. + 228821. i) q^{19} +(321908. - 298687. i) q^{20} +(1.24427e6 - 1.56026e6i) q^{21} +(946423. - 1.18678e6i) q^{22} +(-661724. + 613990. i) q^{23} +(-1.39268e6 + 429584. i) q^{24} +(1.06795e6 + 2.72110e6i) q^{25} +(-3.33988e6 + 2.27709e6i) q^{26} +(-1.39865e6 - 673556. i) q^{27} +(1.66653e6 + 1.54631e6i) q^{28} +(-1.45061e6 + 218645. i) q^{29} +(-768053. + 1.02490e7i) q^{30} +(692928. - 1.76555e6i) q^{31} +(-973514. - 4.26524e6i) q^{32} +(742707. + 9.91074e6i) q^{33} +(-6.58877e6 - 2.03237e6i) q^{34} +(-2.27447e7 + 1.09533e7i) q^{35} +(-1.07287e6 + 1.85827e6i) q^{36} +(5.99843e6 + 1.03896e7i) q^{37} +(1.71014e7 + 1.16595e7i) q^{38} +(5.88927e6 - 2.58026e7i) q^{39} +(1.82303e7 + 2.74778e6i) q^{40} +(4.20418e6 + 5.27187e6i) q^{41} -5.32080e7 q^{42} +(-1.48007e7 + 1.68384e7i) q^{43} -1.13218e7 q^{44} +(-1.48560e7 - 1.86288e7i) q^{45} +(2.37989e7 + 3.58711e6i) q^{46} +(-4.50949e6 + 1.97574e7i) q^{47} +(4.67913e7 + 3.19018e7i) q^{48} +(-4.51695e7 - 7.82359e7i) q^{49} +(3.89687e7 - 6.74957e7i) q^{50} +(4.06739e7 - 1.95875e7i) q^{51} +(2.88103e7 + 8.88680e6i) q^{52} +(-2.97106e6 - 3.96460e7i) q^{53} +(9.21008e6 + 4.03520e7i) q^{54} +(4.59311e7 - 1.17030e8i) q^{55} +(-7.13263e6 + 9.51783e7i) q^{56} +(-1.34003e8 + 2.01977e7i) q^{57} +(2.86719e7 + 2.66036e7i) q^{58} +(-6.02679e7 - 2.90235e7i) q^{59} +(6.33375e7 - 4.31828e7i) q^{60} +(-1.47290e7 - 3.75289e7i) q^{61} +(-4.83221e7 + 1.49054e7i) q^{62} +(9.04248e7 - 8.39019e7i) q^{63} +(3.08354e7 - 3.86664e7i) q^{64} +(-2.08740e8 + 2.61752e8i) q^{65} +(1.94245e8 - 1.80233e8i) q^{66} +(-7.87151e7 + 2.42804e7i) q^{67} +(1.87888e7 + 4.78730e7i) q^{68} +(-1.30199e8 + 8.87679e7i) q^{69} +(6.06419e8 + 2.92036e8i) q^{70} +(1.46496e7 + 1.35929e7i) q^{71} +(-8.90794e7 + 1.34266e7i) q^{72} +(2.65196e7 - 3.53880e8i) q^{73} +(1.16858e8 - 2.97750e8i) q^{74} +(1.13549e8 + 4.97490e8i) q^{75} +(-1.15367e7 - 1.53946e8i) q^{76} +(6.21946e8 + 1.91845e8i) q^{77} +(-6.35760e8 + 3.06166e8i) q^{78} +(1.19854e8 - 2.07593e8i) q^{79} +(-3.58192e8 - 6.20407e8i) q^{80} +(-3.99384e8 - 2.72295e8i) q^{81} +(4.00051e7 - 1.75274e8i) q^{82} +(7.34776e8 + 1.10750e8i) q^{83} +(2.47438e8 + 3.10277e8i) q^{84} -5.71074e8 q^{85} +(5.97039e8 + 2.86094e7i) q^{86} -2.56087e8 q^{87} +(-2.96361e8 - 3.71625e8i) q^{88} +(-1.36568e8 - 2.05843e7i) q^{89} +(-1.41363e8 + 6.19351e8i) q^{90} +(-1.43207e9 - 9.76366e8i) q^{91} +(-8.97562e7 - 1.55462e8i) q^{92} +(1.65546e8 - 2.86734e8i) q^{93} +(4.86809e8 - 2.34435e8i) q^{94} +(1.63811e9 + 5.05289e8i) q^{95} +(-5.70723e7 - 7.61577e8i) q^{96} +(1.02333e8 + 4.48351e8i) q^{97} +(-8.79968e8 + 2.24212e9i) q^{98} +(-4.59077e7 + 6.12596e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + O(q^{10}) \) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + 6223q^{10} + 180668q^{11} - 270774q^{12} + 11245q^{13} - 271206q^{14} - 835123q^{15} - 6169448q^{16} - 65194q^{17} - 466218q^{18} - 1417919q^{19} + 5877261q^{20} + 3242929q^{21} - 4296822q^{22} - 2544899q^{23} - 6043976q^{24} + 9428207q^{25} - 11482629q^{26} + 20117988q^{27} + 7310292q^{28} - 5289921q^{29} + 23977480q^{30} - 47539873q^{31} + 18747558q^{32} - 68064193q^{33} - 73743233q^{34} - 15006505q^{35} - 203628199q^{36} + 62563960q^{37} + 108303102q^{38} + 70931426q^{39} + 14772713q^{40} - 35636128q^{41} + 29601006q^{42} - 207110915q^{43} + 367809332q^{44} + 122079484q^{45} + 164249271q^{46} + 25529106q^{47} + 191670995q^{48} - 815972056q^{49} - 210640197q^{50} - 392161947q^{51} - 873472922q^{52} + 87568125q^{53} + 627150582q^{54} + 628156420q^{55} + 725546751q^{56} - 402646583q^{57} - 677654606q^{58} + 552834314q^{59} + 990764675q^{60} + 376844345q^{61} + 76529685q^{62} - 505887225q^{63} + 621236102q^{64} + 8885906q^{65} + 895281647q^{66} + 789662056q^{67} - 2265959151q^{68} - 2055955619q^{69} + 3236566615q^{70} + 635670789q^{71} - 1964730073q^{72} + 1333013552q^{73} - 5184014638q^{74} + 720042326q^{75} + 477329288q^{76} + 2282266995q^{77} + 5133145036q^{78} + 2903853142q^{79} + 6779574014q^{80} + 3699743739q^{81} - 1268184088q^{82} - 3074947634q^{83} - 1313116801q^{84} + 1946616146q^{85} - 10088814540q^{86} - 6085081326q^{87} - 8012630430q^{88} - 1632065068q^{89} + 3316166089q^{90} + 5386571784q^{91} + 2280339030q^{92} + 2459095364q^{93} - 5048567488q^{94} - 1597173221q^{95} - 10288936616q^{96} - 4337315288q^{97} - 14989446392q^{98} - 5338096561q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −16.6235 20.8452i −0.734661 0.921236i 0.264406 0.964411i \(-0.414824\pi\)
−0.999068 + 0.0431755i \(0.986253\pi\)
\(3\) 172.616 + 26.0176i 1.23037 + 0.185448i 0.731871 0.681443i \(-0.238647\pi\)
0.498497 + 0.866891i \(0.333886\pi\)
\(4\) −44.2510 + 193.876i −0.0864277 + 0.378664i
\(5\) −1824.53 1243.94i −1.30553 0.890092i −0.307417 0.951575i \(-0.599465\pi\)
−0.998108 + 0.0614830i \(0.980417\pi\)
\(6\) −2327.13 4030.71i −0.733062 1.26970i
\(7\) 5716.05 9900.48i 0.899818 1.55853i 0.0720911 0.997398i \(-0.477033\pi\)
0.827727 0.561132i \(-0.189634\pi\)
\(8\) −7522.08 + 3622.44i −0.649282 + 0.312678i
\(9\) 10310.8 + 3180.45i 0.523841 + 0.161584i
\(10\) 4399.80 + 58711.2i 0.139134 + 1.85661i
\(11\) 12668.8 + 55505.5i 0.260896 + 1.14306i 0.920282 + 0.391255i \(0.127959\pi\)
−0.659386 + 0.751804i \(0.729184\pi\)
\(12\) −12682.6 + 32314.8i −0.176560 + 0.449869i
\(13\) 11329.9 151188.i 0.110023 1.46815i −0.619932 0.784656i \(-0.712840\pi\)
0.729955 0.683496i \(-0.239541\pi\)
\(14\) −301398. + 45428.4i −2.09683 + 0.316047i
\(15\) −282578. 262194.i −1.44121 1.33725i
\(16\) 292288. + 140759.i 1.11499 + 0.536951i
\(17\) 213675. 145681.i 0.620488 0.423041i −0.211856 0.977301i \(-0.567951\pi\)
0.832344 + 0.554259i \(0.186998\pi\)
\(18\) −105104. 267800.i −0.235989 0.601290i
\(19\) −741818. + 228821.i −1.30589 + 0.402813i −0.868156 0.496291i \(-0.834695\pi\)
−0.437733 + 0.899105i \(0.644219\pi\)
\(20\) 321908. 298687.i 0.449880 0.417427i
\(21\) 1.24427e6 1.56026e6i 1.39613 1.75070i
\(22\) 946423. 1.18678e6i 0.861357 1.08011i
\(23\) −661724. + 613990.i −0.493062 + 0.457495i −0.887085 0.461606i \(-0.847274\pi\)
0.394023 + 0.919101i \(0.371083\pi\)
\(24\) −1.39268e6 + 429584.i −0.856841 + 0.264300i
\(25\) 1.06795e6 + 2.72110e6i 0.546791 + 1.39320i
\(26\) −3.33988e6 + 2.27709e6i −1.43334 + 0.977237i
\(27\) −1.39865e6 673556.i −0.506492 0.243914i
\(28\) 1.66653e6 + 1.54631e6i 0.512391 + 0.475429i
\(29\) −1.45061e6 + 218645.i −0.380855 + 0.0574047i −0.336680 0.941619i \(-0.609304\pi\)
−0.0441753 + 0.999024i \(0.514066\pi\)
\(30\) −768053. + 1.02490e7i −0.173119 + 2.31012i
\(31\) 692928. 1.76555e6i 0.134760 0.343362i −0.847525 0.530755i \(-0.821908\pi\)
0.982285 + 0.187393i \(0.0600037\pi\)
\(32\) −973514. 4.26524e6i −0.164122 0.719066i
\(33\) 742707. + 9.91074e6i 0.109020 + 1.45477i
\(34\) −6.58877e6 2.03237e6i −0.845569 0.260824i
\(35\) −2.27447e7 + 1.09533e7i −2.56197 + 1.23378i
\(36\) −1.07287e6 + 1.85827e6i −0.106460 + 0.184395i
\(37\) 5.99843e6 + 1.03896e7i 0.526175 + 0.911362i 0.999535 + 0.0304926i \(0.00970760\pi\)
−0.473360 + 0.880869i \(0.656959\pi\)
\(38\) 1.71014e7 + 1.16595e7i 1.33047 + 0.907101i
\(39\) 5.88927e6 2.58026e7i 0.407634 1.78596i
\(40\) 1.82303e7 + 2.74778e6i 1.12597 + 0.169712i
\(41\) 4.20418e6 + 5.27187e6i 0.232356 + 0.291365i 0.884317 0.466888i \(-0.154625\pi\)
−0.651961 + 0.758253i \(0.726053\pi\)
\(42\) −5.32080e7 −2.63849
\(43\) −1.48007e7 + 1.68384e7i −0.660197 + 0.751093i
\(44\) −1.13218e7 −0.455385
\(45\) −1.48560e7 1.86288e7i −0.540063 0.677218i
\(46\) 2.37989e7 + 3.58711e6i 0.783694 + 0.118123i
\(47\) −4.50949e6 + 1.97574e7i −0.134799 + 0.590593i 0.861731 + 0.507365i \(0.169380\pi\)
−0.996530 + 0.0832286i \(0.973477\pi\)
\(48\) 4.67913e7 + 3.19018e7i 1.27227 + 0.867420i
\(49\) −4.51695e7 7.82359e7i −1.11934 1.93876i
\(50\) 3.89687e7 6.74957e7i 0.881760 1.52725i
\(51\) 4.06739e7 1.95875e7i 0.841880 0.405428i
\(52\) 2.88103e7 + 8.88680e6i 0.546428 + 0.168551i
\(53\) −2.97106e6 3.96460e7i −0.0517214 0.690174i −0.961452 0.274974i \(-0.911331\pi\)
0.909730 0.415200i \(-0.136288\pi\)
\(54\) 9.21008e6 + 4.03520e7i 0.147398 + 0.645793i
\(55\) 4.59311e7 1.17030e8i 0.676822 1.72451i
\(56\) −7.13263e6 + 9.51783e7i −0.0969178 + 1.29328i
\(57\) −1.34003e8 + 2.01977e7i −1.68143 + 0.253434i
\(58\) 2.86719e7 + 2.66036e7i 0.332683 + 0.308685i
\(59\) −6.02679e7 2.90235e7i −0.647518 0.311828i 0.0811433 0.996702i \(-0.474143\pi\)
−0.728661 + 0.684874i \(0.759857\pi\)
\(60\) 6.33375e7 4.31828e7i 0.630929 0.430160i
\(61\) −1.47290e7 3.75289e7i −0.136204 0.347041i 0.846456 0.532458i \(-0.178732\pi\)
−0.982660 + 0.185417i \(0.940636\pi\)
\(62\) −4.83221e7 + 1.49054e7i −0.415321 + 0.128109i
\(63\) 9.04248e7 8.39019e7i 0.723194 0.671026i
\(64\) 3.08354e7 3.86664e7i 0.229742 0.288087i
\(65\) −2.08740e8 + 2.61752e8i −1.45043 + 1.81878i
\(66\) 1.94245e8 1.80233e8i 1.26009 1.16919i
\(67\) −7.87151e7 + 2.42804e7i −0.477223 + 0.147204i −0.524029 0.851700i \(-0.675572\pi\)
0.0468064 + 0.998904i \(0.485096\pi\)
\(68\) 1.87888e7 + 4.78730e7i 0.106563 + 0.271519i
\(69\) −1.30199e8 + 8.87679e7i −0.691489 + 0.471449i
\(70\) 6.06419e8 + 2.92036e8i 3.01878 + 1.45377i
\(71\) 1.46496e7 + 1.35929e7i 0.0684170 + 0.0634817i 0.713640 0.700512i \(-0.247045\pi\)
−0.645223 + 0.763994i \(0.723236\pi\)
\(72\) −8.90794e7 + 1.34266e7i −0.390644 + 0.0588801i
\(73\) 2.65196e7 3.53880e8i 0.109299 1.45849i −0.625511 0.780215i \(-0.715110\pi\)
0.734810 0.678273i \(-0.237271\pi\)
\(74\) 1.16858e8 2.97750e8i 0.453019 1.15427i
\(75\) 1.13549e8 + 4.97490e8i 0.414388 + 1.81555i
\(76\) −1.15367e7 1.53946e8i −0.0396662 0.529308i
\(77\) 6.21946e8 + 1.91845e8i 2.01625 + 0.621931i
\(78\) −6.35760e8 + 3.06166e8i −1.94477 + 0.936550i
\(79\) 1.19854e8 2.07593e8i 0.346203 0.599641i −0.639369 0.768900i \(-0.720804\pi\)
0.985572 + 0.169259i \(0.0541375\pi\)
\(80\) −3.58192e8 6.20407e8i −0.977712 1.69345i
\(81\) −3.99384e8 2.72295e8i −1.03088 0.702842i
\(82\) 4.00051e7 1.75274e8i 0.0977131 0.428109i
\(83\) 7.34776e8 + 1.10750e8i 1.69943 + 0.256148i 0.925943 0.377663i \(-0.123272\pi\)
0.773488 + 0.633811i \(0.218510\pi\)
\(84\) 2.47438e8 + 3.10277e8i 0.542262 + 0.679974i
\(85\) −5.71074e8 −1.18661
\(86\) 5.97039e8 + 2.86094e7i 1.17695 + 0.0563983i
\(87\) −2.56087e8 −0.479238
\(88\) −2.96361e8 3.71625e8i −0.526804 0.660591i
\(89\) −1.36568e8 2.05843e7i −0.230725 0.0347761i 0.0326622 0.999466i \(-0.489601\pi\)
−0.263387 + 0.964690i \(0.584840\pi\)
\(90\) −1.41363e8 + 6.19351e8i −0.227114 + 0.995052i
\(91\) −1.43207e9 9.76366e8i −2.18916 1.49254i
\(92\) −8.97562e7 1.55462e8i −0.130623 0.226245i
\(93\) 1.65546e8 2.86734e8i 0.229480 0.397471i
\(94\) 4.86809e8 2.34435e8i 0.643107 0.309704i
\(95\) 1.63811e9 + 5.05289e8i 2.06341 + 0.636478i
\(96\) −5.70723e7 7.61577e8i −0.0685812 0.915152i
\(97\) 1.02333e8 + 4.48351e8i 0.117366 + 0.514215i 0.999098 + 0.0424641i \(0.0135208\pi\)
−0.881732 + 0.471751i \(0.843622\pi\)
\(98\) −8.79968e8 + 2.24212e9i −0.963717 + 2.45551i
\(99\) −4.59077e7 + 6.12596e8i −0.0480317 + 0.640938i
\(100\) −5.74813e8 + 8.66392e7i −0.574813 + 0.0866392i
\(101\) −8.14785e7 7.56010e7i −0.0779106 0.0722905i 0.640256 0.768161i \(-0.278828\pi\)
−0.718167 + 0.695871i \(0.755019\pi\)
\(102\) −1.08445e9 5.22243e8i −0.991992 0.477718i
\(103\) 3.04147e7 2.07364e7i 0.0266266 0.0181537i −0.549934 0.835208i \(-0.685347\pi\)
0.576560 + 0.817055i \(0.304395\pi\)
\(104\) 4.62444e8 + 1.17829e9i 0.387622 + 0.987645i
\(105\) −4.21107e9 + 1.29894e9i −3.38097 + 1.04289i
\(106\) −7.77040e8 + 7.20988e8i −0.597815 + 0.554691i
\(107\) 1.16422e9 1.45988e9i 0.858630 1.07669i −0.137647 0.990481i \(-0.543954\pi\)
0.996277 0.0862072i \(-0.0274747\pi\)
\(108\) 1.92478e8 2.41360e8i 0.136136 0.170710i
\(109\) 1.10429e9 1.02463e9i 0.749311 0.695259i −0.209972 0.977707i \(-0.567337\pi\)
0.959282 + 0.282449i \(0.0911467\pi\)
\(110\) −3.20306e9 + 9.88012e8i −2.08592 + 0.643421i
\(111\) 7.65112e8 + 1.94947e9i 0.478378 + 1.21889i
\(112\) 3.06431e9 2.08921e9i 1.84014 1.25459i
\(113\) −1.15420e9 5.55834e8i −0.665930 0.320695i 0.0702023 0.997533i \(-0.477636\pi\)
−0.736132 + 0.676838i \(0.763350\pi\)
\(114\) 2.64862e9 + 2.45756e9i 1.46875 + 1.36280i
\(115\) 1.97110e9 2.97096e8i 1.05092 0.158400i
\(116\) 2.18010e7 2.90914e8i 0.0111793 0.149178i
\(117\) 5.97665e8 1.52282e9i 0.294864 0.751300i
\(118\) 3.96862e8 + 1.73877e9i 0.188439 + 0.825605i
\(119\) −2.20937e8 2.94820e9i −0.100997 1.34771i
\(120\) 3.07536e9 + 9.48622e8i 1.35388 + 0.417616i
\(121\) −7.95923e8 + 3.83296e8i −0.337549 + 0.162555i
\(122\) −5.37449e8 + 9.30889e8i −0.219643 + 0.380434i
\(123\) 5.88546e8 + 1.01939e9i 0.231850 + 0.401576i
\(124\) 3.11636e8 + 2.12470e8i 0.118372 + 0.0807048i
\(125\) 4.76655e8 2.08836e9i 0.174626 0.765087i
\(126\) −3.25213e9 4.90179e8i −1.14948 0.173256i
\(127\) −3.14437e9 3.94291e9i −1.07255 1.34493i −0.935084 0.354425i \(-0.884677\pi\)
−0.137463 0.990507i \(-0.543895\pi\)
\(128\) −3.55857e9 −1.17174
\(129\) −2.99293e9 + 2.52150e9i −0.951574 + 0.801688i
\(130\) 8.92626e9 2.74110
\(131\) −3.26975e9 4.10014e9i −0.970050 1.21640i −0.976300 0.216424i \(-0.930561\pi\)
0.00624970 0.999980i \(-0.498011\pi\)
\(132\) −1.95432e9 2.94567e8i −0.560290 0.0844502i
\(133\) −1.97483e9 + 8.65231e9i −0.547265 + 2.39773i
\(134\) 1.81465e9 + 1.23721e9i 0.486207 + 0.331490i
\(135\) 1.71402e9 + 2.96876e9i 0.444133 + 0.769260i
\(136\) −1.07956e9 + 1.86985e9i −0.270596 + 0.468686i
\(137\) 5.51094e9 2.65393e9i 1.33654 0.643646i 0.377265 0.926105i \(-0.376865\pi\)
0.959279 + 0.282460i \(0.0911504\pi\)
\(138\) 4.01474e9 + 1.23838e9i 0.942327 + 0.290669i
\(139\) −4.92764e8 6.57548e9i −0.111962 1.49403i −0.716572 0.697513i \(-0.754290\pi\)
0.604610 0.796522i \(-0.293329\pi\)
\(140\) −1.11710e9 4.89435e9i −0.245763 1.07676i
\(141\) −1.29245e9 + 3.29311e9i −0.275377 + 0.701649i
\(142\) 3.98181e7 5.31335e8i 0.00821832 0.109666i
\(143\) 8.53527e9 1.28649e9i 1.70689 0.257272i
\(144\) 2.56604e9 + 2.38094e9i 0.497315 + 0.461441i
\(145\) 2.91866e9 + 1.40555e9i 0.548312 + 0.264053i
\(146\) −7.81754e9 + 5.32991e9i −1.42391 + 0.970805i
\(147\) −5.76146e9 1.46800e10i −1.01766 2.59297i
\(148\) −2.27973e9 + 7.03204e8i −0.390576 + 0.120477i
\(149\) −4.90382e9 + 4.55008e9i −0.815073 + 0.756277i −0.972909 0.231188i \(-0.925739\pi\)
0.157836 + 0.987465i \(0.449548\pi\)
\(150\) 8.48269e9 1.06370e10i 1.36812 1.71556i
\(151\) 5.93872e9 7.44692e9i 0.929601 1.16568i −0.0563098 0.998413i \(-0.517933\pi\)
0.985911 0.167270i \(-0.0534951\pi\)
\(152\) 4.75113e9 4.40840e9i 0.721939 0.669862i
\(153\) 2.66648e9 8.22501e8i 0.393394 0.121346i
\(154\) −6.33987e9 1.61537e10i −0.908316 2.31435i
\(155\) −3.46051e9 + 2.35933e9i −0.481556 + 0.328320i
\(156\) 4.74190e9 + 2.28358e9i 0.641050 + 0.308713i
\(157\) 4.54277e9 + 4.21508e9i 0.596723 + 0.553678i 0.919646 0.392747i \(-0.128475\pi\)
−0.322924 + 0.946425i \(0.604666\pi\)
\(158\) −6.31971e9 + 9.52543e8i −0.806753 + 0.121598i
\(159\) 5.18645e8 6.92083e9i 0.0643551 0.858759i
\(160\) −3.52951e9 + 8.99304e9i −0.425769 + 1.08484i
\(161\) 2.29635e9 + 1.00610e10i 0.269353 + 1.18011i
\(162\) 9.63104e8 + 1.28517e10i 0.109864 + 1.46603i
\(163\) −6.87659e9 2.12115e9i −0.763008 0.235357i −0.111259 0.993791i \(-0.535488\pi\)
−0.651749 + 0.758435i \(0.725964\pi\)
\(164\) −1.20813e9 + 5.81804e8i −0.130412 + 0.0628029i
\(165\) 1.09733e10 1.90063e10i 1.15255 1.99627i
\(166\) −9.90594e9 1.71576e10i −1.01253 1.75376i
\(167\) 1.09729e10 + 7.48118e9i 1.09168 + 0.744297i 0.968730 0.248116i \(-0.0798113\pi\)
0.122953 + 0.992413i \(0.460764\pi\)
\(168\) −3.70752e9 + 1.62437e10i −0.359080 + 1.57323i
\(169\) −1.22432e10 1.84537e9i −1.15453 0.174018i
\(170\) 9.49324e9 + 1.19041e10i 0.871755 + 1.09315i
\(171\) −8.37647e9 −0.749166
\(172\) −2.60963e9 3.61461e9i −0.227353 0.314908i
\(173\) −1.49633e10 −1.27005 −0.635023 0.772493i \(-0.719009\pi\)
−0.635023 + 0.772493i \(0.719009\pi\)
\(174\) 4.25706e9 + 5.33818e9i 0.352077 + 0.441491i
\(175\) 3.30446e10 + 4.98067e9i 2.66336 + 0.401436i
\(176\) −4.10994e9 + 1.80068e10i −0.322871 + 1.41459i
\(177\) −9.64807e9 6.57794e9i −0.738857 0.503744i
\(178\) 1.84115e9 + 3.18897e9i 0.137467 + 0.238100i
\(179\) −1.07196e10 + 1.85669e10i −0.780440 + 1.35176i 0.151245 + 0.988496i \(0.451672\pi\)
−0.931685 + 0.363266i \(0.881662\pi\)
\(180\) 4.26907e9 2.05588e9i 0.303115 0.145972i
\(181\) 1.08345e10 + 3.34200e9i 0.750335 + 0.231448i 0.646255 0.763121i \(-0.276334\pi\)
0.104080 + 0.994569i \(0.466810\pi\)
\(182\) 3.45339e9 + 4.60823e10i 0.233305 + 3.11324i
\(183\) −1.56605e9 6.86129e9i −0.103223 0.452247i
\(184\) 2.75340e9 7.01554e9i 0.177088 0.451213i
\(185\) 1.97974e9 2.64178e10i 0.124261 1.65815i
\(186\) −8.72897e9 + 1.31568e9i −0.534755 + 0.0806013i
\(187\) 1.07931e10 + 1.00145e10i 0.645444 + 0.598885i
\(188\) −3.63093e9 1.74857e9i −0.211986 0.102087i
\(189\) −1.46633e10 + 9.99726e9i −0.835898 + 0.569905i
\(190\) −1.66982e10 4.25463e10i −0.929562 2.36849i
\(191\) −2.31254e10 + 7.13323e9i −1.25730 + 0.387825i −0.850637 0.525753i \(-0.823784\pi\)
−0.406662 + 0.913579i \(0.633307\pi\)
\(192\) 6.32870e9 5.87217e9i 0.336092 0.311848i
\(193\) −6.09695e9 + 7.64533e9i −0.316304 + 0.396633i −0.914413 0.404782i \(-0.867347\pi\)
0.598109 + 0.801415i \(0.295919\pi\)
\(194\) 7.64482e9 9.58630e9i 0.387489 0.485896i
\(195\) −4.28420e10 + 3.97516e10i −2.12185 + 1.96879i
\(196\) 1.71669e10 5.29528e9i 0.830882 0.256293i
\(197\) 8.99141e9 + 2.29097e10i 0.425334 + 1.08373i 0.969573 + 0.244803i \(0.0787232\pi\)
−0.544239 + 0.838930i \(0.683182\pi\)
\(198\) 1.35328e10 9.22653e9i 0.625742 0.426624i
\(199\) −1.66395e10 8.01316e9i −0.752145 0.362214i 0.0182061 0.999834i \(-0.494205\pi\)
−0.770351 + 0.637621i \(0.779919\pi\)
\(200\) −1.78902e10 1.65997e10i −0.790644 0.733610i
\(201\) −1.42192e10 + 2.14320e9i −0.614458 + 0.0926147i
\(202\) −2.21461e8 + 2.95519e9i −0.00935869 + 0.124883i
\(203\) −6.12708e9 + 1.56115e10i −0.253233 + 0.645228i
\(204\) 1.99770e9 + 8.75247e9i 0.0807595 + 0.353830i
\(205\) −1.11274e9 1.48484e10i −0.0440047 0.587202i
\(206\) −9.37851e8 2.89289e8i −0.0362853 0.0111925i
\(207\) −8.77565e9 + 4.22613e9i −0.332210 + 0.159984i
\(208\) 2.45925e10 4.25955e10i 0.911000 1.57790i
\(209\) −2.20987e10 3.82761e10i −0.801141 1.38762i
\(210\) 9.70794e10 + 6.61876e10i 3.44461 + 2.34850i
\(211\) −5.03870e9 + 2.20760e10i −0.175004 + 0.766742i 0.808886 + 0.587966i \(0.200071\pi\)
−0.983890 + 0.178776i \(0.942786\pi\)
\(212\) 7.81790e9 + 1.17836e9i 0.265814 + 0.0400651i
\(213\) 2.17510e9 + 2.72749e9i 0.0724056 + 0.0907937i
\(214\) −4.97848e10 −1.62269
\(215\) 4.79502e10 1.23110e10i 1.53044 0.392935i
\(216\) 1.29607e10 0.405123
\(217\) −1.35190e10 1.69523e10i −0.413881 0.518991i
\(218\) −3.97156e10 5.98616e9i −1.19099 0.179512i
\(219\) 1.37848e10 6.03953e10i 0.404951 1.77421i
\(220\) 2.06569e10 + 1.40836e10i 0.594516 + 0.405334i
\(221\) −1.96042e10 3.39555e10i −0.552821 0.957514i
\(222\) 2.79183e10 4.83559e10i 0.771437 1.33617i
\(223\) 8.80265e9 4.23913e9i 0.238364 0.114790i −0.310889 0.950446i \(-0.600627\pi\)
0.549253 + 0.835656i \(0.314912\pi\)
\(224\) −4.77926e10 1.47421e10i −1.26837 0.391239i
\(225\) 2.35709e9 + 3.14531e10i 0.0613132 + 0.818168i
\(226\) 7.60038e9 + 3.32994e10i 0.193797 + 0.849081i
\(227\) 3.10441e9 7.90990e9i 0.0776001 0.197722i −0.886809 0.462136i \(-0.847083\pi\)
0.964409 + 0.264414i \(0.0851785\pi\)
\(228\) 2.01391e9 2.68738e10i 0.0493552 0.658600i
\(229\) 6.15120e10 9.27144e9i 1.47809 0.222786i 0.640022 0.768357i \(-0.278925\pi\)
0.838065 + 0.545571i \(0.183687\pi\)
\(230\) −3.89596e10 3.61492e10i −0.917992 0.851772i
\(231\) 1.02366e11 + 4.92971e10i 2.36539 + 1.13911i
\(232\) 1.01196e10 6.89942e9i 0.229333 0.156357i
\(233\) −1.46932e10 3.74378e10i −0.326600 0.832163i −0.996008 0.0892677i \(-0.971547\pi\)
0.669408 0.742895i \(-0.266548\pi\)
\(234\) −4.16788e10 + 1.28562e10i −0.908749 + 0.280312i
\(235\) 3.28047e10 3.04383e10i 0.701666 0.651051i
\(236\) 8.29387e9 1.04002e10i 0.174042 0.218241i
\(237\) 2.60898e10 3.27156e10i 0.537159 0.673576i
\(238\) −5.77831e10 + 5.36149e10i −1.16736 + 1.08315i
\(239\) −8.96181e9 + 2.76435e9i −0.177666 + 0.0548028i −0.382312 0.924033i \(-0.624872\pi\)
0.204646 + 0.978836i \(0.434396\pi\)
\(240\) −4.56881e10 1.16411e11i −0.888899 2.26488i
\(241\) 2.54838e9 1.73745e9i 0.0486617 0.0331770i −0.538745 0.842469i \(-0.681101\pi\)
0.587407 + 0.809292i \(0.300149\pi\)
\(242\) 2.12209e10 + 1.02194e10i 0.397736 + 0.191539i
\(243\) −3.94566e10 3.66104e10i −0.725924 0.673559i
\(244\) 7.92773e9 1.19491e9i 0.143184 0.0215815i
\(245\) −1.49079e10 + 1.98932e11i −0.264343 + 3.52742i
\(246\) 1.14657e10 2.92142e10i 0.199615 0.508611i
\(247\) 2.61901e10 + 1.14746e11i 0.447714 + 1.96156i
\(248\) 1.18335e9 + 1.57907e10i 0.0198646 + 0.265075i
\(249\) 1.23952e11 + 3.82343e10i 2.04342 + 0.630312i
\(250\) −5.14560e10 + 2.47799e10i −0.833116 + 0.401208i
\(251\) −2.19057e9 + 3.79418e9i −0.0348357 + 0.0603373i −0.882918 0.469528i \(-0.844424\pi\)
0.848082 + 0.529865i \(0.177757\pi\)
\(252\) 1.22652e10 + 2.12440e10i 0.191590 + 0.331843i
\(253\) −4.24630e10 2.89508e10i −0.651582 0.444241i
\(254\) −2.99204e10 + 1.31090e11i −0.451041 + 1.97614i
\(255\) −9.85764e10 1.48580e10i −1.45996 0.220054i
\(256\) 4.33680e10 + 5.43818e10i 0.631088 + 0.791359i
\(257\) 3.64113e10 0.520639 0.260320 0.965523i \(-0.416172\pi\)
0.260320 + 0.965523i \(0.416172\pi\)
\(258\) 1.02314e11 + 2.04720e10i 1.43763 + 0.287655i
\(259\) 1.37149e11 1.89385
\(260\) −4.15105e10 5.20525e10i −0.563349 0.706418i
\(261\) −1.56523e10 2.35920e9i −0.208783 0.0314690i
\(262\) −3.11135e10 + 1.36317e11i −0.407937 + 1.78729i
\(263\) −7.16699e10 4.88637e10i −0.923710 0.629775i 0.00523750 0.999986i \(-0.498333\pi\)
−0.928948 + 0.370211i \(0.879285\pi\)
\(264\) −4.14878e10 7.18590e10i −0.525657 0.910465i
\(265\) −4.38966e10 + 7.60311e10i −0.546795 + 0.947076i
\(266\) 2.13188e11 1.02666e11i 2.61093 1.25736i
\(267\) −2.30382e10 7.10635e9i −0.277427 0.0855748i
\(268\) −1.22417e9 1.63354e10i −0.0144956 0.193430i
\(269\) −1.93289e10 8.46856e10i −0.225073 0.986108i −0.953597 0.301087i \(-0.902650\pi\)
0.728524 0.685020i \(-0.240207\pi\)
\(270\) 3.33915e10 8.50801e10i 0.382383 0.974297i
\(271\) 1.05865e10 1.41267e11i 0.119231 1.59103i −0.541692 0.840577i \(-0.682216\pi\)
0.660924 0.750453i \(-0.270165\pi\)
\(272\) 8.29604e10 1.25043e10i 0.918990 0.138516i
\(273\) −2.21795e11 2.05795e11i −2.41668 2.24235i
\(274\) −1.46933e11 7.07591e10i −1.57486 0.758411i
\(275\) −1.37506e11 + 9.37501e10i −1.44986 + 0.988495i
\(276\) −1.14486e10 2.91705e10i −0.118757 0.302589i
\(277\) −3.62887e10 + 1.11936e10i −0.370350 + 0.114238i −0.474343 0.880340i \(-0.657314\pi\)
0.103993 + 0.994578i \(0.466838\pi\)
\(278\) −1.28876e11 + 1.19579e11i −1.29410 + 1.20075i
\(279\) 1.27599e10 1.60004e10i 0.126074 0.158092i
\(280\) 1.31410e11 1.64783e11i 1.27766 1.60214i
\(281\) 7.85042e9 7.28412e9i 0.0751129 0.0696946i −0.641723 0.766936i \(-0.721780\pi\)
0.716836 + 0.697242i \(0.245590\pi\)
\(282\) 9.01304e10 2.78016e10i 0.848693 0.261787i
\(283\) 4.96275e10 + 1.26449e11i 0.459921 + 1.17186i 0.953294 + 0.302043i \(0.0976685\pi\)
−0.493373 + 0.869818i \(0.664236\pi\)
\(284\) −3.28360e9 + 2.23872e9i −0.0299514 + 0.0204205i
\(285\) 2.69617e11 + 1.29841e11i 2.42072 + 1.16576i
\(286\) −1.68703e11 1.56533e11i −1.49099 1.38344i
\(287\) 7.62253e10 1.14891e10i 0.663179 0.0999581i
\(288\) 3.52772e9 4.70741e10i 0.0302153 0.403196i
\(289\) −1.88910e10 + 4.81336e10i −0.159300 + 0.405890i
\(290\) −1.92193e10 8.42052e10i −0.159568 0.699114i
\(291\) 5.99928e9 + 8.00549e10i 0.0490434 + 0.654439i
\(292\) 6.74354e10 + 2.08011e10i 0.542831 + 0.167441i
\(293\) 8.08400e10 3.89305e10i 0.640800 0.308593i −0.0851218 0.996371i \(-0.527128\pi\)
0.725921 + 0.687778i \(0.241414\pi\)
\(294\) −2.10231e11 + 3.64131e11i −1.64110 + 2.84246i
\(295\) 7.38569e10 + 1.27924e11i 0.567795 + 0.983450i
\(296\) −8.27564e10 5.64224e10i −0.626598 0.427207i
\(297\) 1.96668e10 8.61660e10i 0.146666 0.642587i
\(298\) 1.76366e11 + 2.65829e10i 1.29551 + 0.195267i
\(299\) 8.53304e10 + 1.07001e11i 0.617424 + 0.774225i
\(300\) −1.01476e11 −0.723299
\(301\) 8.21072e10 + 2.42783e11i 0.576544 + 1.70478i
\(302\) −2.53955e11 −1.75681
\(303\) −1.20975e10 1.51698e10i −0.0824526 0.103392i
\(304\) −2.49033e11 3.75357e10i −1.67235 0.252065i
\(305\) −1.98103e10 + 8.67945e10i −0.131081 + 0.574305i
\(306\) −6.14714e10 4.19105e10i −0.400799 0.273260i
\(307\) −5.37377e10 9.30765e10i −0.345268 0.598022i 0.640134 0.768263i \(-0.278879\pi\)
−0.985402 + 0.170241i \(0.945545\pi\)
\(308\) −6.47159e10 + 1.12091e11i −0.409763 + 0.709730i
\(309\) 5.78956e9 2.78811e9i 0.0361270 0.0173979i
\(310\) 1.06706e11 + 3.29146e10i 0.656240 + 0.202423i
\(311\) −2.08195e10 2.77816e11i −0.126197 1.68398i −0.597393 0.801949i \(-0.703797\pi\)
0.471196 0.882028i \(-0.343822\pi\)
\(312\) 4.91688e10 + 2.15423e11i 0.293761 + 1.28705i
\(313\) −1.16282e11 + 2.96280e11i −0.684796 + 1.74483i −0.0177185 + 0.999843i \(0.505640\pi\)
−0.667077 + 0.744988i \(0.732455\pi\)
\(314\) 1.23474e10 1.64764e11i 0.0716789 0.956488i
\(315\) −2.69351e11 + 4.05982e10i −1.54142 + 0.232332i
\(316\) 3.49437e10 + 3.24231e10i 0.197141 + 0.182920i
\(317\) −1.47694e11 7.11257e10i −0.821479 0.395603i −0.0245662 0.999698i \(-0.507820\pi\)
−0.796912 + 0.604095i \(0.793535\pi\)
\(318\) −1.52888e11 + 1.04237e11i −0.838399 + 0.571611i
\(319\) −3.05134e10 7.77469e10i −0.164981 0.420364i
\(320\) −1.04359e11 + 3.21904e10i −0.556358 + 0.171614i
\(321\) 2.38945e11 2.21708e11i 1.25610 1.16549i
\(322\) 1.71550e11 2.15117e11i 0.889280 1.11512i
\(323\) −1.25173e11 + 1.56962e11i −0.639882 + 0.802386i
\(324\) 7.04647e10 6.53817e10i 0.355238 0.329612i
\(325\) 4.23495e11 1.30631e11i 2.10559 0.649488i
\(326\) 7.00972e10 + 1.78605e11i 0.343733 + 0.875818i
\(327\) 2.17275e11 1.48136e11i 1.05086 0.716466i
\(328\) −5.07212e10 2.44261e10i −0.241968 0.116526i
\(329\) 1.69831e11 + 1.57580e11i 0.799163 + 0.741515i
\(330\) −5.78604e11 + 8.72105e10i −2.68577 + 0.404814i
\(331\) −2.31647e10 + 3.09112e11i −0.106072 + 1.41543i 0.649497 + 0.760364i \(0.274979\pi\)
−0.755569 + 0.655069i \(0.772640\pi\)
\(332\) −5.39863e10 + 1.37555e11i −0.243872 + 0.621376i
\(333\) 2.88049e10 + 1.26202e11i 0.128371 + 0.562430i
\(334\) −2.64608e10 3.53095e11i −0.116344 1.55250i
\(335\) 1.73821e11 + 5.36167e10i 0.754051 + 0.232594i
\(336\) 5.83304e11 2.80905e11i 2.49671 1.20235i
\(337\) 7.60645e10 1.31748e11i 0.321253 0.556427i −0.659494 0.751710i \(-0.729229\pi\)
0.980747 + 0.195283i \(0.0625626\pi\)
\(338\) 1.65058e11 + 2.85889e11i 0.687879 + 1.19144i
\(339\) −1.84772e11 1.25975e11i −0.759866 0.518068i
\(340\) 2.52706e10 1.10718e11i 0.102556 0.449326i
\(341\) 1.06776e11 + 1.60939e10i 0.427642 + 0.0644566i
\(342\) 1.39246e11 + 1.74609e11i 0.550383 + 0.690159i
\(343\) −5.71439e11 −2.22918
\(344\) 5.03356e10 1.80275e11i 0.193804 0.694099i
\(345\) 3.47973e11 1.32239
\(346\) 2.48742e11 + 3.11913e11i 0.933054 + 1.17001i
\(347\) −4.52782e10 6.82459e9i −0.167651 0.0252693i 0.0646802 0.997906i \(-0.479397\pi\)
−0.232331 + 0.972637i \(0.574635\pi\)
\(348\) 1.13321e10 4.96492e10i 0.0414194 0.181470i
\(349\) 3.08843e10 + 2.10566e10i 0.111436 + 0.0759755i 0.617756 0.786370i \(-0.288042\pi\)
−0.506320 + 0.862346i \(0.668995\pi\)
\(350\) −4.45493e11 7.71617e11i −1.58685 2.74850i
\(351\) −1.17680e11 + 2.03827e11i −0.413828 + 0.716771i
\(352\) 2.24411e11 1.08071e11i 0.779116 0.375203i
\(353\) 1.37740e11 + 4.24871e10i 0.472143 + 0.145637i 0.521690 0.853135i \(-0.325302\pi\)
−0.0495473 + 0.998772i \(0.515778\pi\)
\(354\) 2.32661e10 + 3.10464e11i 0.0787423 + 1.05074i
\(355\) −9.81991e9 4.30239e10i −0.0328156 0.143774i
\(356\) 1.00341e10 2.55664e10i 0.0331095 0.0843615i
\(357\) 3.85680e10 5.14655e11i 0.125667 1.67691i
\(358\) 5.65227e11 8.51943e10i 1.81865 0.274118i
\(359\) −1.01641e11 9.43093e10i −0.322957 0.299661i 0.501986 0.864876i \(-0.332603\pi\)
−0.824944 + 0.565215i \(0.808793\pi\)
\(360\) 1.79230e11 + 8.63124e10i 0.562404 + 0.270840i
\(361\) 2.31318e11 1.57710e11i 0.716849 0.488740i
\(362\) −1.10442e11 2.81403e11i −0.338024 0.861271i
\(363\) −1.47361e11 + 4.54550e10i −0.445455 + 0.137405i
\(364\) 2.52665e11 2.34438e11i 0.754376 0.699959i
\(365\) −4.88592e11 + 6.12674e11i −1.44088 + 1.80681i
\(366\) −1.16992e11 + 1.46703e11i −0.340793 + 0.427341i
\(367\) 4.14551e11 3.84648e11i 1.19284 1.10679i 0.200959 0.979600i \(-0.435594\pi\)
0.991878 0.127191i \(-0.0405963\pi\)
\(368\) −2.79838e11 + 8.63187e10i −0.795412 + 0.245352i
\(369\) 2.65814e10 + 6.77282e10i 0.0746377 + 0.190174i
\(370\) −5.83594e11 + 3.97888e11i −1.61884 + 1.10370i
\(371\) −4.09498e11 1.97204e11i −1.12220 0.540421i
\(372\) 4.82653e10 + 4.47836e10i 0.130675 + 0.121248i
\(373\) 1.57261e11 2.37033e10i 0.420660 0.0634043i 0.0646984 0.997905i \(-0.479391\pi\)
0.355962 + 0.934501i \(0.384153\pi\)
\(374\) 2.93359e10 3.91460e11i 0.0775313 1.03458i
\(375\) 1.36612e11 3.48083e11i 0.356738 0.908954i
\(376\) −3.76492e10 1.64952e11i −0.0971427 0.425610i
\(377\) 1.66210e10 + 2.21792e11i 0.0423761 + 0.565469i
\(378\) 4.52150e11 + 1.39470e11i 1.13912 + 0.351372i
\(379\) −5.29695e10 + 2.55087e10i −0.131871 + 0.0635057i −0.498656 0.866800i \(-0.666173\pi\)
0.366785 + 0.930306i \(0.380459\pi\)
\(380\) −1.70451e11 + 2.95230e11i −0.419348 + 0.726331i
\(381\) −4.40182e11 7.62418e11i −1.07021 1.85366i
\(382\) 5.33118e11 + 3.63474e11i 1.28097 + 0.873349i
\(383\) 1.33581e11 5.85258e11i 0.317213 1.38980i −0.525204 0.850976i \(-0.676011\pi\)
0.842418 0.538825i \(-0.181132\pi\)
\(384\) −6.14265e11 9.25855e10i −1.44167 0.217296i
\(385\) −8.96113e11 1.12369e12i −2.07869 2.60659i
\(386\) 2.60721e11 0.597768
\(387\) −2.06160e11 + 1.26544e11i −0.467202 + 0.286776i
\(388\) −9.14529e10 −0.204859
\(389\) −8.89413e10 1.11529e11i −0.196938 0.246953i 0.673550 0.739141i \(-0.264768\pi\)
−0.870489 + 0.492189i \(0.836197\pi\)
\(390\) 1.54081e12 + 2.32240e11i 3.37256 + 0.508331i
\(391\) −5.19471e10 + 2.27595e11i −0.112400 + 0.492456i
\(392\) 6.23174e11 + 4.24873e11i 1.33298 + 0.908808i
\(393\) −4.57735e11 7.92820e11i −0.967938 1.67652i
\(394\) 3.28089e11 5.68267e11i 0.685897 1.18801i
\(395\) −4.76911e11 + 2.29668e11i −0.985712 + 0.474694i
\(396\) −1.16736e11 3.60084e10i −0.238549 0.0735827i
\(397\) 6.85695e10 + 9.14997e11i 0.138540 + 1.84868i 0.443448 + 0.896300i \(0.353755\pi\)
−0.304908 + 0.952382i \(0.598626\pi\)
\(398\) 1.09571e11 + 4.80060e11i 0.218887 + 0.959007i
\(399\) −5.66000e11 + 1.44214e12i −1.11799 + 2.84860i
\(400\) −7.08679e10 + 9.45667e11i −0.138414 + 1.84701i
\(401\) 1.90030e11 2.86425e10i 0.367006 0.0553173i 0.0370497 0.999313i \(-0.488204\pi\)
0.329956 + 0.943996i \(0.392966\pi\)
\(402\) 2.81048e11 + 2.60774e11i 0.536739 + 0.498021i
\(403\) −2.59078e11 1.24766e11i −0.489281 0.235625i
\(404\) 1.82627e10 1.24513e10i 0.0341075 0.0232541i
\(405\) 3.89967e11 + 9.93620e11i 0.720245 + 1.83515i
\(406\) 4.27279e11 1.31798e11i 0.780448 0.240736i
\(407\) −5.00687e11 + 4.64569e11i −0.904464 + 0.839220i
\(408\) −2.34998e11 + 2.94678e11i −0.419849 + 0.526474i
\(409\) −2.88096e10 + 3.61261e10i −0.0509076 + 0.0638361i −0.806633 0.591052i \(-0.798713\pi\)
0.755726 + 0.654888i \(0.227284\pi\)
\(410\) −2.91021e11 + 2.70028e11i −0.508623 + 0.471934i
\(411\) 1.02032e12 3.14729e11i 1.76380 0.544061i
\(412\) 2.67441e9 + 6.81428e9i 0.00457288 + 0.0116515i
\(413\) −6.31840e11 + 4.30781e11i −1.06864 + 0.728588i
\(414\) 2.33976e11 + 1.12677e11i 0.391445 + 0.188510i
\(415\) −1.20285e12 1.11608e12i −1.99065 1.84706i
\(416\) −6.55881e11 + 9.88582e10i −1.07376 + 0.161843i
\(417\) 8.60196e10 1.14785e12i 0.139311 1.85898i
\(418\) −4.30515e11 + 1.09693e12i −0.689755 + 1.75747i
\(419\) −1.53359e11 6.71912e11i −0.243079 1.06500i −0.938197 0.346103i \(-0.887505\pi\)
0.695118 0.718896i \(-0.255352\pi\)
\(420\) −6.54902e10 8.73906e11i −0.102696 1.37039i
\(421\) −2.25683e10 6.96141e9i −0.0350131 0.0108001i 0.277199 0.960812i \(-0.410594\pi\)
−0.312212 + 0.950012i \(0.601070\pi\)
\(422\) 5.43939e11 2.61947e11i 0.834918 0.402076i
\(423\) −1.09334e11 + 1.89371e11i −0.166043 + 0.287596i
\(424\) 1.65964e11 + 2.87458e11i 0.249384 + 0.431945i
\(425\) 6.24606e11 + 4.25849e11i 0.928659 + 0.633149i
\(426\) 2.06973e10 9.06809e10i 0.0304489 0.133405i
\(427\) −4.55746e11 6.86926e10i −0.663433 0.0999964i
\(428\) 2.31518e11 + 2.90315e11i 0.333494 + 0.418189i
\(429\) 1.50679e12 2.14781
\(430\) −1.05373e12 7.94880e11i −1.48634 1.12123i
\(431\) 1.54870e11 0.216181 0.108091 0.994141i \(-0.465526\pi\)
0.108091 + 0.994141i \(0.465526\pi\)
\(432\) −3.14001e11 3.93745e11i −0.433764 0.543923i
\(433\) −1.33070e11 2.00571e10i −0.181922 0.0274204i 0.0574492 0.998348i \(-0.481703\pi\)
−0.239371 + 0.970928i \(0.576941\pi\)
\(434\) −1.28641e11 + 5.63612e11i −0.174050 + 0.762564i
\(435\) 4.67238e11 + 3.18557e11i 0.625657 + 0.426566i
\(436\) 1.49785e11 + 2.59435e11i 0.198509 + 0.343827i
\(437\) 3.50385e11 6.06885e11i 0.459600 0.796050i
\(438\) −1.48810e12 + 7.16633e11i −1.93197 + 0.930386i
\(439\) 8.02456e11 + 2.47525e11i 1.03117 + 0.318074i 0.763755 0.645507i \(-0.223354\pi\)
0.267417 + 0.963581i \(0.413830\pi\)
\(440\) 7.84390e10 + 1.04670e12i 0.0997688 + 1.33132i
\(441\) −2.16907e11 9.50332e11i −0.273086 1.19647i
\(442\) −3.81919e11 + 9.73113e11i −0.475960 + 1.21273i
\(443\) −4.22148e9 + 5.63317e10i −0.00520772 + 0.0694923i −0.999202 0.0399386i \(-0.987284\pi\)
0.993994 + 0.109431i \(0.0349028\pi\)
\(444\) −4.11813e11 + 6.20709e10i −0.502895 + 0.0757992i
\(445\) 2.23566e11 + 2.07439e11i 0.270263 + 0.250767i
\(446\) −2.34696e11 1.13024e11i −0.280866 0.135258i
\(447\) −9.64860e11 + 6.57830e11i −1.14309 + 0.779345i
\(448\) −2.06559e11 5.26305e11i −0.242267 0.617286i
\(449\) 6.77191e11 2.08886e11i 0.786327 0.242550i 0.124513 0.992218i \(-0.460263\pi\)
0.661814 + 0.749668i \(0.269787\pi\)
\(450\) 6.16464e11 5.71995e11i 0.708681 0.657560i
\(451\) −2.39356e11 + 3.00143e11i −0.272427 + 0.341612i
\(452\) 1.58837e11 1.99176e11i 0.178991 0.224447i
\(453\) 1.21887e12 1.13094e12i 1.35993 1.26183i
\(454\) −2.16489e11 + 6.67781e10i −0.239158 + 0.0737705i
\(455\) 1.39830e12 + 3.56281e12i 1.52950 + 3.89710i
\(456\) 9.34816e11 6.37347e11i 1.01248 0.690294i
\(457\) −1.39313e11 6.70896e10i −0.149406 0.0719503i 0.357687 0.933842i \(-0.383566\pi\)
−0.507093 + 0.861891i \(0.669280\pi\)
\(458\) −1.21581e12 1.12810e12i −1.29113 1.19799i
\(459\) −3.96981e11 + 5.98353e10i −0.417458 + 0.0629217i
\(460\) −2.96234e10 + 3.95296e11i −0.0308478 + 0.411635i
\(461\) 4.57334e11 1.16527e12i 0.471606 1.20163i −0.475214 0.879870i \(-0.657629\pi\)
0.946820 0.321763i \(-0.104275\pi\)
\(462\) −6.74080e11 2.95334e12i −0.688371 3.01595i
\(463\) −3.47702e10 4.63976e11i −0.0351636 0.469225i −0.986794 0.161980i \(-0.948212\pi\)
0.951630 0.307245i \(-0.0994071\pi\)
\(464\) −4.54772e11 1.40279e11i −0.455474 0.140495i
\(465\) −6.58723e11 + 3.17224e11i −0.653378 + 0.314650i
\(466\) −5.36145e11 + 9.28630e11i −0.526678 + 0.912233i
\(467\) −5.94714e11 1.03007e12i −0.578605 1.00217i −0.995640 0.0932826i \(-0.970264\pi\)
0.417035 0.908891i \(-0.363069\pi\)
\(468\) 2.68792e11 + 1.83259e11i 0.259006 + 0.176587i
\(469\) −2.09551e11 + 9.18105e11i −0.199992 + 0.876223i
\(470\) −1.17982e12 1.77829e11i −1.11526 0.168098i
\(471\) 6.74488e11 + 8.45781e11i 0.631510 + 0.791888i
\(472\) 5.58476e11 0.517923
\(473\) −1.12213e12 6.08196e11i −1.03079 0.558687i
\(474\) −1.11567e12 −1.01515
\(475\) −1.41487e12 1.77419e12i −1.27525 1.59911i
\(476\) 5.81363e11 + 8.76264e10i 0.519058 + 0.0782354i
\(477\) 9.54583e10 4.18230e11i 0.0844270 0.369899i
\(478\) 2.06600e11 + 1.40857e11i 0.181011 + 0.123411i
\(479\) 6.54823e11 + 1.13419e12i 0.568348 + 0.984407i 0.996730 + 0.0808091i \(0.0257504\pi\)
−0.428382 + 0.903598i \(0.640916\pi\)
\(480\) −8.43227e11 + 1.46051e12i −0.725035 + 1.25580i
\(481\) 1.63874e12 7.89175e11i 1.39591 0.672234i
\(482\) −7.85804e10 2.42389e10i −0.0663136 0.0204550i
\(483\) 1.34624e11 + 1.79643e12i 0.112554 + 1.50193i
\(484\) −3.90917e10 1.71272e11i −0.0323802 0.141867i
\(485\) 3.71012e11 9.45324e11i 0.304474 0.775788i
\(486\) −1.07244e11 + 1.43107e12i −0.0871987 + 1.16359i
\(487\) 2.22373e12 3.35174e11i 1.79144 0.270016i 0.832581 0.553903i \(-0.186862\pi\)
0.958858 + 0.283888i \(0.0916242\pi\)
\(488\) 2.46739e11 + 2.28940e11i 0.196947 + 0.182740i
\(489\) −1.13182e12 5.45056e11i −0.895134 0.431074i
\(490\) 4.39459e12 2.99618e12i 3.44379 2.34793i
\(491\) 4.10481e11 + 1.04589e12i 0.318732 + 0.812117i 0.997007 + 0.0773085i \(0.0246326\pi\)
−0.678275 + 0.734808i \(0.737272\pi\)
\(492\) −2.23679e11 + 6.89960e10i −0.172101 + 0.0530861i
\(493\) −2.78107e11 + 2.58045e11i −0.212032 + 0.196737i
\(494\) 1.95654e12 2.45342e12i 1.47814 1.85353i
\(495\) 8.45794e11 1.06059e12i 0.633200 0.794008i
\(496\) 4.51051e11 4.18514e11i 0.334625 0.310486i
\(497\) 2.18314e11 6.73410e10i 0.160501 0.0495080i
\(498\) −1.26352e12 3.21940e12i −0.920557 2.34554i
\(499\) 5.91282e11 4.03130e11i 0.426916 0.291066i −0.330738 0.943723i \(-0.607298\pi\)
0.757654 + 0.652656i \(0.226345\pi\)
\(500\) 3.83791e11 + 1.84824e11i 0.274619 + 0.132249i
\(501\) 1.69945e12 + 1.57686e12i 1.20514 + 1.11821i
\(502\) 1.15505e11 1.74096e10i 0.0811773 0.0122355i
\(503\) −1.03286e11 + 1.37825e12i −0.0719423 + 0.960004i 0.838108 + 0.545505i \(0.183662\pi\)
−0.910050 + 0.414499i \(0.863957\pi\)
\(504\) −3.76253e11 + 9.58676e11i −0.259742 + 0.661812i
\(505\) 5.46165e10 + 2.39290e11i 0.0373691 + 0.163725i
\(506\) 1.02399e11 + 1.36641e12i 0.0694411 + 0.926627i
\(507\) −2.06536e12 6.37081e11i −1.38823 0.428212i
\(508\) 9.03578e11 4.35140e11i 0.601976 0.289896i
\(509\) −6.71991e11 + 1.16392e12i −0.443745 + 0.768589i −0.997964 0.0637821i \(-0.979684\pi\)
0.554219 + 0.832371i \(0.313017\pi\)
\(510\) 1.32897e12 + 2.30184e12i 0.869857 + 1.50664i
\(511\) −3.35199e12 2.28535e12i −2.17475 1.48272i
\(512\) 7.24082e9 3.17241e10i 0.00465664 0.0204021i
\(513\) 1.19167e12 + 1.79615e11i 0.759675 + 0.114503i
\(514\) −6.05282e11 7.59000e11i −0.382493 0.479631i
\(515\) −8.12872e10 −0.0509201
\(516\) −3.56419e11 6.91836e11i −0.221328 0.429615i
\(517\) −1.15377e12 −0.710252
\(518\) −2.27990e12 2.85890e12i −1.39133 1.74468i
\(519\) −2.58290e12 3.89310e11i −1.56262 0.235528i
\(520\) 6.21979e11 2.72507e12i 0.373045 1.63442i
\(521\) 1.72965e12 + 1.17925e12i 1.02846 + 0.701193i 0.955152 0.296116i \(-0.0956916\pi\)
0.0733092 + 0.997309i \(0.476644\pi\)
\(522\) 2.11018e11 + 3.65493e11i 0.124395 + 0.215458i
\(523\) −9.94536e10 + 1.72259e11i −0.0581250 + 0.100675i −0.893624 0.448817i \(-0.851846\pi\)
0.835499 + 0.549492i \(0.185179\pi\)
\(524\) 9.39609e11 4.52492e11i 0.544448 0.262192i
\(525\) 5.57444e12 + 1.71949e12i 3.20246 + 0.987829i
\(526\) 1.72830e11 + 2.30626e12i 0.0984427 + 1.31363i
\(527\) −1.09146e11 4.78200e11i −0.0616397 0.270061i
\(528\) −1.17794e12 + 3.00133e12i −0.659582 + 1.68059i
\(529\) −7.37055e10 + 9.83532e11i −0.0409213 + 0.546057i
\(530\) 2.31460e12 3.48869e11i 1.27419 0.192053i
\(531\) −5.29100e11 4.90933e11i −0.288810 0.267977i
\(532\) −1.59009e12 7.65746e11i −0.860635 0.414460i
\(533\) 8.44674e11 5.75889e11i 0.453332 0.309077i
\(534\) 2.34842e11 + 5.98369e11i 0.124980 + 0.318444i
\(535\) −3.94015e12 + 1.21537e12i −2.07932 + 0.641384i
\(536\) 5.04147e11 4.67780e11i 0.263825 0.244794i
\(537\) −2.33344e12 + 2.92604e12i −1.21091 + 1.51843i
\(538\) −1.44397e12 + 1.81068e12i −0.743086 + 0.931800i
\(539\) 3.77028e12 3.49831e12i 1.92409 1.78529i
\(540\) −6.51419e11 + 2.00936e11i −0.329677 + 0.101692i
\(541\) −4.30641e11 1.09726e12i −0.216136 0.550707i 0.781149 0.624345i \(-0.214634\pi\)
−0.997285 + 0.0736385i \(0.976539\pi\)
\(542\) −3.12072e12 + 2.12767e12i −1.55331 + 1.05903i
\(543\) 1.78325e12 + 8.58770e11i 0.880266 + 0.423914i
\(544\) −8.29380e11 7.69552e11i −0.406030 0.376741i
\(545\) −3.28937e12 + 4.95793e11i −1.59709 + 0.240722i
\(546\) −6.02843e11 + 8.04438e12i −0.290294 + 3.87370i
\(547\) 4.20866e11 1.07235e12i 0.201002 0.512145i −0.794459 0.607318i \(-0.792245\pi\)
0.995461 + 0.0951732i \(0.0303405\pi\)
\(548\) 2.70669e11 + 1.18588e12i 0.128211 + 0.561731i
\(549\) −3.25085e10 4.33796e11i −0.0152729 0.203803i
\(550\) 4.24007e12 + 1.30789e12i 1.97579 + 0.609450i
\(551\) 1.02606e12 4.94124e11i 0.474232 0.228378i
\(552\) 6.57808e11 1.13936e12i 0.301560 0.522317i
\(553\) −1.37018e12 2.37323e12i −0.623039 1.07914i
\(554\) 8.36576e11 + 5.70368e11i 0.377322 + 0.257253i
\(555\) 1.02906e12 4.50862e12i 0.460388 2.01709i
\(556\) 1.29663e12 + 1.95436e11i 0.575414 + 0.0867298i
\(557\) 6.36430e11 + 7.98058e11i 0.280158 + 0.351307i 0.901923 0.431897i \(-0.142156\pi\)
−0.621765 + 0.783204i \(0.713584\pi\)
\(558\) −5.45644e11 −0.238262
\(559\) 2.37807e12 + 2.42846e12i 1.03008 + 1.05191i
\(560\) −8.18977e12 −3.51905
\(561\) 1.60250e12 + 2.00948e12i 0.683072 + 0.856545i
\(562\) −2.82340e11 4.25559e10i −0.119388 0.0179948i
\(563\) −2.60770e11 + 1.14251e12i −0.109388 + 0.479259i 0.890326 + 0.455324i \(0.150477\pi\)
−0.999714 + 0.0239352i \(0.992380\pi\)
\(564\) −5.81263e11 3.96298e11i −0.241889 0.164917i
\(565\) 1.41445e12 + 2.44989e12i 0.583940 + 1.01141i
\(566\) 1.81087e12 3.13652e12i 0.741674 1.28462i
\(567\) −4.97875e12 + 2.39764e12i −2.02300 + 0.974227i
\(568\) −1.59435e11 4.91793e10i −0.0642713 0.0198251i
\(569\) −1.87002e11 2.49537e12i −0.0747896 0.997998i −0.900769 0.434298i \(-0.856996\pi\)
0.825980 0.563700i \(-0.190623\pi\)
\(570\) −1.77542e12 7.77861e12i −0.704472 3.08649i
\(571\) 9.03435e11 2.30191e12i 0.355659 0.906205i −0.635327 0.772243i \(-0.719135\pi\)
0.990986 0.133962i \(-0.0427701\pi\)
\(572\) −1.28275e11 + 1.71171e12i −0.0501027 + 0.668573i
\(573\) −4.17740e12 + 6.29641e11i −1.61886 + 0.244004i
\(574\) −1.50662e12 1.39794e12i −0.579297 0.537509i
\(575\) −2.37742e12 1.14490e12i −0.906984 0.436781i
\(576\) 4.40914e11 3.00610e11i 0.166898 0.113789i
\(577\) 1.00145e12 + 2.55166e12i 0.376131 + 0.958366i 0.986132 + 0.165965i \(0.0530740\pi\)
−0.610001 + 0.792401i \(0.708831\pi\)
\(578\) 1.31739e12 4.06361e11i 0.490952 0.151439i
\(579\) −1.25134e12 + 1.16108e12i −0.462725 + 0.429346i
\(580\) −4.01657e11 + 5.03662e11i −0.147377 + 0.184805i
\(581\) 5.29649e12 6.64158e12i 1.92839 2.41813i
\(582\) 1.56903e12 1.45585e12i 0.566863 0.525972i
\(583\) 2.16293e12 6.67176e11i 0.775416 0.239184i
\(584\) 1.08243e12 + 2.75798e12i 0.385071 + 0.981145i
\(585\) −2.98476e12 + 2.03497e12i −1.05368 + 0.718385i
\(586\) −2.15536e12 1.03797e12i −0.755057 0.363616i
\(587\) −1.01652e12 9.43188e11i −0.353380 0.327889i 0.483429 0.875384i \(-0.339391\pi\)
−0.836809 + 0.547495i \(0.815582\pi\)
\(588\) 3.10105e12 4.67408e11i 1.06982 0.161249i
\(589\) −1.10032e11 + 1.46827e12i −0.0376704 + 0.502676i
\(590\) 1.43884e12 3.66610e12i 0.488853 1.24558i
\(591\) 9.56002e11 + 4.18852e12i 0.322341 + 1.41227i
\(592\) 2.90847e11 + 3.88108e12i 0.0973233 + 1.29869i
\(593\) 1.67107e12 + 5.15458e11i 0.554944 + 0.171178i 0.559527 0.828812i \(-0.310983\pi\)
−0.00458313 + 0.999989i \(0.501459\pi\)
\(594\) −2.12308e12 + 1.02242e12i −0.699724 + 0.336969i
\(595\) −3.26429e12 + 5.65391e12i −1.06773 + 1.84936i
\(596\) −6.65154e11 1.15208e12i −0.215930 0.374002i
\(597\) −2.66376e12 1.81612e12i −0.858243 0.585140i
\(598\) 8.11966e11 3.55746e12i 0.259647 1.13759i
\(599\) 1.21520e12 + 1.83161e11i 0.385679 + 0.0581317i 0.339020 0.940779i \(-0.389905\pi\)
0.0466588 + 0.998911i \(0.485143\pi\)
\(600\) −2.65625e12 3.33083e12i −0.836736 1.04923i
\(601\) −1.32308e12 −0.413667 −0.206834 0.978376i \(-0.566316\pi\)
−0.206834 + 0.978376i \(0.566316\pi\)
\(602\) 3.69595e12 5.74744e12i 1.14694 1.78357i
\(603\) −8.88835e11 −0.273775
\(604\) 1.18099e12 + 1.48091e12i 0.361059 + 0.452754i
\(605\) 1.92898e12 + 2.90747e11i 0.585368 + 0.0882300i
\(606\) −1.15115e11 + 5.04350e11i −0.0346740 + 0.151917i
\(607\) −1.35704e12 9.25212e11i −0.405735 0.276625i 0.343209 0.939259i \(-0.388486\pi\)
−0.748944 + 0.662634i \(0.769439\pi\)
\(608\) 1.69815e12 + 2.94127e12i 0.503975 + 0.872910i
\(609\) −1.46381e12 + 2.53539e12i −0.431227 + 0.746906i
\(610\) 2.13856e12 1.02988e12i 0.625371 0.301163i
\(611\) 2.93597e12 + 9.05628e11i 0.852249 + 0.262884i
\(612\) 4.14689e10 + 5.53364e11i 0.0119493 + 0.159452i
\(613\) 6.78217e11 + 2.97146e12i 0.193998 + 0.849959i 0.974425 + 0.224713i \(0.0721444\pi\)
−0.780427 + 0.625246i \(0.784998\pi\)
\(614\) −1.04689e12 + 2.66743e12i −0.297264 + 0.757417i
\(615\) 1.94245e11 2.59202e12i 0.0547536 0.730636i
\(616\) −5.37328e12 + 8.09891e11i −1.50358 + 0.226628i
\(617\) −1.81078e12 1.68015e12i −0.503015 0.466730i 0.387379 0.921921i \(-0.373381\pi\)
−0.890394 + 0.455191i \(0.849571\pi\)
\(618\) −1.54361e11 7.43365e10i −0.0425687 0.0205000i
\(619\) 3.14947e12 2.14727e12i 0.862243 0.587867i −0.0494328 0.998777i \(-0.515741\pi\)
0.911676 + 0.410910i \(0.134789\pi\)
\(620\) −3.04288e11 7.75313e11i −0.0827031 0.210724i
\(621\) 1.33908e12 4.13051e11i 0.361322 0.111453i
\(622\) −5.44504e12 + 5.05226e12i −1.45863 + 1.35341i
\(623\) −9.84423e11 + 1.23443e12i −0.261810 + 0.328299i
\(624\) 5.35330e12 6.71282e12i 1.41348 1.77245i
\(625\) 7.17746e11 6.65971e11i 0.188153 0.174580i
\(626\) 8.10903e12 2.50130e12i 2.11049 0.651001i
\(627\) −2.81873e12 7.18202e12i −0.728367 1.85585i
\(628\) −1.01823e12 + 6.94214e11i −0.261231 + 0.178105i
\(629\) 2.79528e12 + 1.34614e12i 0.712029 + 0.342895i
\(630\) 5.32384e12 + 4.93980e12i 1.34646 + 1.24933i
\(631\) −1.09166e12 + 1.64542e11i −0.274130 + 0.0413185i −0.284669 0.958626i \(-0.591884\pi\)
0.0105384 + 0.999944i \(0.496645\pi\)
\(632\) −1.49557e11 + 1.99570e12i −0.0372889 + 0.497586i
\(633\) −1.44412e12 + 3.67957e12i −0.357510 + 0.910920i
\(634\) 9.72561e11 + 4.26107e12i 0.239064 + 1.04741i
\(635\) 8.32231e11 + 1.11054e13i 0.203125 + 2.71051i
\(636\) 1.31883e12 + 4.06807e11i 0.319620 + 0.0985896i
\(637\) −1.23401e13 + 5.94266e12i −2.96955 + 1.43006i
\(638\) −1.11341e12 + 1.92848e12i −0.266049 + 0.460811i
\(639\) 1.07817e11 + 1.86745e11i 0.0255821 + 0.0443094i
\(640\) 6.49270e12 + 4.42665e12i 1.52973 + 1.04295i
\(641\) 5.28430e11 2.31520e12i 0.123631 0.541661i −0.874740 0.484593i \(-0.838968\pi\)
0.998370 0.0570680i \(-0.0181752\pi\)
\(642\) −8.59364e12 1.29528e12i −1.99650 0.300924i
\(643\) 3.47166e11 + 4.35333e11i 0.0800918 + 0.100432i 0.820263 0.571986i \(-0.193827\pi\)
−0.740171 + 0.672418i \(0.765256\pi\)
\(644\) −2.05220e12 −0.470147
\(645\) 8.59727e12 8.77521e11i 1.95588 0.199636i
\(646\) 5.35272e12 1.20928
\(647\) −1.70472e12 2.13766e12i −0.382459 0.479588i 0.552921 0.833234i \(-0.313513\pi\)
−0.935379 + 0.353646i \(0.884942\pi\)
\(648\) 3.99057e12 + 6.01482e11i 0.889094 + 0.134009i
\(649\) 8.47443e11 3.71289e12i 0.187503 0.821506i
\(650\) −9.76300e12 6.65630e12i −2.14523 1.46259i
\(651\) −1.89253e12 3.27797e12i −0.412980 0.715303i
\(652\) 7.15536e11 1.23934e12i 0.155066 0.268583i
\(653\) −1.89213e12 + 9.11204e11i −0.407233 + 0.196113i −0.626275 0.779603i \(-0.715421\pi\)
0.219042 + 0.975715i \(0.429707\pi\)
\(654\) −6.69980e12 2.06661e12i −1.43206 0.441732i
\(655\) 8.65418e11 + 1.15482e13i 0.183713 + 2.45148i
\(656\) 4.86770e11 + 2.13268e12i 0.102626 + 0.449633i
\(657\) 1.39893e12 3.56443e12i 0.292923 0.746355i
\(658\) 4.61605e11 6.15969e12i 0.0959961 1.28098i
\(659\) 7.72962e12 1.16505e12i 1.59652 0.240636i 0.710298 0.703901i \(-0.248560\pi\)
0.886220 + 0.463264i \(0.153322\pi\)
\(660\) 3.19929e12 + 2.96851e12i 0.656305 + 0.608962i
\(661\) −3.90703e12 1.88153e12i −0.796050 0.383357i −0.00877643 0.999961i \(-0.502794\pi\)
−0.787273 + 0.616604i \(0.788508\pi\)
\(662\) 6.82857e12 4.65564e12i 1.38187 0.942146i
\(663\) −2.50056e12 6.37132e12i −0.502604 1.28061i
\(664\) −5.92823e12 + 1.82862e12i −1.18350 + 0.365062i
\(665\) 1.43661e13 1.33298e13i 2.84867 2.64317i
\(666\) 2.15187e12 2.69837e12i 0.423821 0.531455i
\(667\) 8.25659e11 1.03534e12i 0.161523 0.202543i
\(668\) −1.93598e12 + 1.79633e12i −0.376190 + 0.349054i
\(669\) 1.62977e12 5.02717e11i 0.314564 0.0970300i
\(670\) −1.77186e12 4.51463e12i −0.339698 0.865537i
\(671\) 1.89646e12 1.29298e12i 0.361154 0.246231i
\(672\) −7.86620e12 3.78816e12i −1.48800 0.716584i
\(673\) 6.99417e12 + 6.48964e12i 1.31422 + 1.21942i 0.958589 + 0.284792i \(0.0919246\pi\)
0.355631 + 0.934626i \(0.384266\pi\)
\(674\) −4.01076e12 + 6.04525e11i −0.748612 + 0.112835i
\(675\) 3.39116e11 4.52519e12i 0.0628755 0.839016i
\(676\) 8.99549e11 2.29201e12i 0.165678 0.422140i
\(677\) −3.28370e11 1.43868e12i −0.0600779 0.263219i 0.935965 0.352093i \(-0.114530\pi\)
−0.996043 + 0.0888748i \(0.971673\pi\)
\(678\) 4.45573e11 + 5.94575e12i 0.0809813 + 1.08062i
\(679\) 5.02383e12 + 1.54965e12i 0.907028 + 0.279781i
\(680\) 4.29567e12 2.06868e12i 0.770443 0.371026i
\(681\) 7.41667e11 1.28460e12i 0.132144 0.228880i
\(682\) −1.43951e12 2.49331e12i −0.254792 0.441313i
\(683\) −2.50266e12 1.70628e12i −0.440056 0.300025i 0.322951 0.946416i \(-0.395325\pi\)
−0.763007 + 0.646391i \(0.776278\pi\)
\(684\) 3.70667e11 1.62400e12i 0.0647487 0.283683i
\(685\) −1.33562e13 2.01312e12i −2.31780 0.349351i
\(686\) 9.49930e12 + 1.19117e13i 1.63770 + 2.05360i
\(687\) 1.08592e13 1.85991
\(688\) −6.69621e12 + 2.83835e12i −1.13941 + 0.482968i
\(689\) −6.02765e12 −1.01897
\(690\) −5.78452e12 7.25356e12i −0.971509 1.21823i
\(691\) 3.69635e12 + 5.57136e11i 0.616769 + 0.0929629i 0.449993 0.893032i \(-0.351426\pi\)
0.166776 + 0.985995i \(0.446664\pi\)
\(692\) 6.62140e11 2.90103e12i 0.109767 0.480921i
\(693\) 5.80259e12 + 3.95614e12i 0.955701 + 0.651586i
\(694\) 6.10422e11 + 1.05728e12i 0.0998878 + 0.173011i
\(695\) −7.28045e12 + 1.26101e13i −1.18366 + 2.05016i
\(696\) 1.92631e12 9.27661e11i 0.311160 0.149847i
\(697\) 1.66634e12 + 5.13997e11i 0.267433 + 0.0824923i
\(698\) −7.44768e10 9.93824e11i −0.0118760 0.158475i
\(699\) −1.56224e12 6.84463e12i −0.247515 1.08443i
\(700\) −2.42789e12 + 6.18616e12i −0.382198 + 0.973823i
\(701\) 1.37787e10 1.83864e11i 0.00215515 0.0287585i −0.996023 0.0891016i \(-0.971600\pi\)
0.998178 + 0.0603431i \(0.0192195\pi\)
\(702\) 6.20507e12 9.35264e11i 0.964339 0.145351i
\(703\) −6.82710e12 6.33462e12i −1.05423 0.978187i
\(704\) 2.53685e12 + 1.22168e12i 0.389240 + 0.187448i
\(705\) 6.45454e12 4.40063e12i 0.984043 0.670909i
\(706\) −1.40406e12 3.57750e12i −0.212699 0.541949i
\(707\) −1.21422e12 + 3.74538e11i −0.182772 + 0.0563778i
\(708\) 1.70224e12 1.57945e12i 0.254608 0.236242i
\(709\) 1.84972e12 2.31947e12i 0.274914 0.344731i −0.625138 0.780515i \(-0.714957\pi\)
0.900052 + 0.435783i \(0.143529\pi\)
\(710\) −7.33599e11 + 9.19904e11i −0.108342 + 0.135856i
\(711\) 1.89603e12 1.75926e12i 0.278247 0.258176i
\(712\) 1.10184e12 3.39873e11i 0.160679 0.0495629i
\(713\) 6.25504e11 + 1.59376e12i 0.0906416 + 0.230951i
\(714\) −1.13692e13 + 7.75140e12i −1.63715 + 1.11619i
\(715\) −1.71731e13 8.27015e12i −2.45738 1.18341i
\(716\) −3.12532e12 2.89988e12i −0.444413 0.412355i
\(717\) −1.61887e12 + 2.44006e11i −0.228758 + 0.0344797i
\(718\) −2.76264e11 + 3.68648e12i −0.0387939 + 0.517669i
\(719\) −3.71467e12 + 9.46483e12i −0.518371 + 1.32079i 0.396868 + 0.917876i \(0.370097\pi\)
−0.915239 + 0.402912i \(0.867998\pi\)
\(720\) −1.72006e12 7.53608e12i −0.238533 1.04508i
\(721\) −3.14484e10 4.19650e11i −0.00433401 0.0578333i
\(722\) −7.13282e12 2.20018e12i −0.976886 0.301329i
\(723\) 4.85095e11 2.33609e11i 0.0660243 0.0317956i
\(724\) −1.12737e12 + 1.95266e12i −0.152491 + 0.264122i
\(725\) −2.14413e12 3.71375e12i −0.288225 0.499220i
\(726\) 3.39718e12 + 2.31616e12i 0.453841 + 0.309423i
\(727\) 1.23668e12 5.41826e12i 0.164192 0.719374i −0.824055 0.566510i \(-0.808293\pi\)
0.988247 0.152864i \(-0.0488497\pi\)
\(728\) 1.43090e13 + 2.15673e12i 1.88806 + 0.284580i
\(729\) 7.37411e10 + 9.24685e10i 0.00967021 + 0.0121261i
\(730\) 2.08934e13 2.72305
\(731\) −7.09491e11 + 5.75413e12i −0.0919007 + 0.745334i
\(732\) 1.39954e12 0.180171
\(733\) 3.32311e12 + 4.16705e12i 0.425184 + 0.533164i 0.947571 0.319544i \(-0.103530\pi\)
−0.522387 + 0.852709i \(0.674958\pi\)
\(734\) −1.49093e13 2.24722e12i −1.89595 0.285768i
\(735\) −7.74907e12 + 3.39509e13i −0.979393 + 4.29100i
\(736\) 3.26301e12 + 2.22469e12i 0.409891 + 0.279459i
\(737\) −2.34492e12 4.06152e12i −0.292768 0.507089i
\(738\) 9.69932e11 1.67997e12i 0.120362 0.208472i
\(739\) −1.08717e12 + 5.23555e11i −0.134091 + 0.0645746i −0.499726 0.866184i \(-0.666566\pi\)
0.365635 + 0.930758i \(0.380852\pi\)
\(740\) 5.03417e12 + 1.55284e12i 0.617143 + 0.190363i
\(741\) 1.53539e12 + 2.04884e13i 0.187085 + 2.49647i
\(742\) 2.69653e12 + 1.18143e13i 0.326578 + 1.43083i
\(743\) 5.46428e12 1.39228e13i 0.657784 1.67601i −0.0764184 0.997076i \(-0.524348\pi\)
0.734202 0.678931i \(-0.237556\pi\)
\(744\) −2.06572e11 + 2.75652e12i −0.0247169 + 0.329824i
\(745\) 1.46072e13 2.20168e12i 1.73725 0.261849i
\(746\) −3.10833e12 2.88410e12i −0.367453 0.340947i
\(747\) 7.22387e12 + 3.47883e12i 0.848842 + 0.408781i
\(748\) −2.41918e12 + 1.64937e12i −0.282561 + 0.192647i
\(749\) −7.79880e12 1.98710e13i −0.905440 2.30702i
\(750\) −9.52683e12 + 2.93864e12i