Properties

Label 43.10.g.a.9.7
Level 43
Weight 10
Character 43.9
Analytic conductor 22.147
Analytic rank 0
Dimension 384
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 9.7
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-18.0000 - 22.5713i) q^{2} +(152.742 + 23.0222i) q^{3} +(-71.5330 + 313.406i) q^{4} +(827.323 + 564.059i) q^{5} +(-2229.72 - 3861.99i) q^{6} +(-595.853 + 1032.05i) q^{7} +(-4955.94 + 2386.65i) q^{8} +(3991.59 + 1231.24i) q^{9} +O(q^{10})\) \(q+(-18.0000 - 22.5713i) q^{2} +(152.742 + 23.0222i) q^{3} +(-71.5330 + 313.406i) q^{4} +(827.323 + 564.059i) q^{5} +(-2229.72 - 3861.99i) q^{6} +(-595.853 + 1032.05i) q^{7} +(-4955.94 + 2386.65i) q^{8} +(3991.59 + 1231.24i) q^{9} +(-2160.28 - 28826.9i) q^{10} +(-6846.66 - 29997.2i) q^{11} +(-18141.4 + 46223.5i) q^{12} +(3666.00 - 48919.4i) q^{13} +(34020.0 - 5127.70i) q^{14} +(113381. + 105202. i) q^{15} +(291368. + 140315. i) q^{16} +(385503. - 262831. i) q^{17} +(-44058.0 - 112258. i) q^{18} +(604783. - 186551. i) q^{19} +(-235961. + 218939. i) q^{20} +(-114772. + 143919. i) q^{21} +(-553836. + 694489. i) q^{22} +(741649. - 688150. i) q^{23} +(-811926. + 250446. i) q^{24} +(-347256. - 884794. i) q^{25} +(-1.17016e6 + 797804. i) q^{26} +(-2.15795e6 - 1.03921e6i) q^{27} +(-280827. - 260569. i) q^{28} +(2.02898e6 - 305819. i) q^{29} +(333692. - 4.45281e6i) q^{30} +(1.01838e6 - 2.59478e6i) q^{31} +(-1.45083e6 - 6.35651e6i) q^{32} +(-355173. - 4.73946e6i) q^{33} +(-1.28715e7 - 3.97034e6i) q^{34} +(-1.07510e6 + 517740. i) q^{35} +(-671410. + 1.16292e6i) q^{36} +(-7.06192e6 - 1.22316e7i) q^{37} +(-1.50968e7 - 1.02928e7i) q^{38} +(1.68618e6 - 7.38765e6i) q^{39} +(-5.44638e6 - 820909. i) q^{40} +(133545. + 167461. i) q^{41} +5.31434e6 q^{42} +(2.17389e7 + 5.47851e6i) q^{43} +9.89107e6 q^{44} +(2.60784e6 + 3.27013e6i) q^{45} +(-2.88822e7 - 4.35329e6i) q^{46} +(-2.12091e6 + 9.29232e6i) q^{47} +(4.12738e7 + 2.81400e7i) q^{48} +(1.94667e7 + 3.37174e7i) q^{49} +(-1.37204e7 + 2.37644e7i) q^{50} +(6.49334e7 - 3.12703e7i) q^{51} +(1.50694e7 + 4.64829e6i) q^{52} +(1.92567e6 + 2.56962e7i) q^{53} +(1.53867e7 + 6.74137e7i) q^{54} +(1.12558e7 - 2.86793e7i) q^{55} +(489870. - 6.53686e6i) q^{56} +(9.66707e7 - 1.45708e7i) q^{57} +(-4.34244e7 - 4.02920e7i) q^{58} +(-1.07136e8 - 5.15942e7i) q^{59} +(-4.10816e7 + 2.80090e7i) q^{60} +(-1.18849e6 - 3.02822e6i) q^{61} +(-7.68984e7 + 2.37200e7i) q^{62} +(-3.64910e6 + 3.38587e6i) q^{63} +(-1.41238e7 + 1.77107e7i) q^{64} +(3.06264e7 - 3.84043e7i) q^{65} +(-1.00583e8 + 9.33272e7i) q^{66} +(3.48945e7 - 1.07635e7i) q^{67} +(5.47968e7 + 1.39620e8i) q^{68} +(1.29124e8 - 8.80351e7i) q^{69} +(3.10379e7 + 1.49471e7i) q^{70} +(2.29704e7 + 2.13134e7i) q^{71} +(-2.27206e7 + 3.42459e6i) q^{72} +(-3.58064e6 + 4.77803e7i) q^{73} +(-1.48969e8 + 3.79566e8i) q^{74} +(-3.26708e7 - 1.43140e8i) q^{75} +(1.52043e7 + 2.02887e8i) q^{76} +(3.50381e7 + 1.08078e7i) q^{77} +(-1.97100e8 + 9.49185e7i) q^{78} +(1.78280e7 - 3.08789e7i) q^{79} +(1.61909e8 + 2.80435e8i) q^{80} +(-3.73618e8 - 2.54728e8i) q^{81} +(1.37599e6 - 6.02860e6i) q^{82} +(-1.73815e8 - 2.61985e7i) q^{83} +(-3.68952e7 - 4.62652e7i) q^{84} +4.67188e8 q^{85} +(-2.67643e8 - 5.89289e8i) q^{86} +3.16951e8 q^{87} +(1.05525e8 + 1.32324e8i) q^{88} +(2.19865e8 + 3.31394e7i) q^{89} +(2.68700e7 - 1.17725e8i) q^{90} +(4.83027e7 + 3.29322e7i) q^{91} +(1.62618e8 + 2.81663e8i) q^{92} +(2.15286e8 - 3.72887e8i) q^{93} +(2.47916e8 - 1.19390e8i) q^{94} +(6.05577e8 + 1.86796e8i) q^{95} +(-7.52625e7 - 1.00431e9i) q^{96} +(3.19155e8 + 1.39831e9i) q^{97} +(4.10644e8 - 1.04630e9i) q^{98} +(9.60475e6 - 1.28167e8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −18.0000 22.5713i −0.795497 0.997521i −0.999827 0.0186192i \(-0.994073\pi\)
0.204330 0.978902i \(-0.434498\pi\)
\(3\) 152.742 + 23.0222i 1.08871 + 0.164097i 0.668781 0.743459i \(-0.266816\pi\)
0.419931 + 0.907556i \(0.362054\pi\)
\(4\) −71.5330 + 313.406i −0.139713 + 0.612122i
\(5\) 827.323 + 564.059i 0.591984 + 0.403608i 0.821924 0.569597i \(-0.192901\pi\)
−0.229940 + 0.973205i \(0.573853\pi\)
\(6\) −2229.72 3861.99i −0.702377 1.21655i
\(7\) −595.853 + 1032.05i −0.0937989 + 0.162464i −0.909107 0.416563i \(-0.863234\pi\)
0.815308 + 0.579028i \(0.196568\pi\)
\(8\) −4955.94 + 2386.65i −0.427780 + 0.206008i
\(9\) 3991.59 + 1231.24i 0.202794 + 0.0625537i
\(10\) −2160.28 28826.9i −0.0683139 0.911586i
\(11\) −6846.66 29997.2i −0.140998 0.617751i −0.995204 0.0978175i \(-0.968814\pi\)
0.854207 0.519934i \(-0.174043\pi\)
\(12\) −18141.4 + 46223.5i −0.252554 + 0.643498i
\(13\) 3666.00 48919.4i 0.0355998 0.475046i −0.950703 0.310102i \(-0.899637\pi\)
0.986303 0.164944i \(-0.0527443\pi\)
\(14\) 34020.0 5127.70i 0.236678 0.0356735i
\(15\) 113381. + 105202.i 0.578270 + 0.536556i
\(16\) 291368. + 140315.i 1.11148 + 0.535261i
\(17\) 385503. 262831.i 1.11946 0.763233i 0.145363 0.989378i \(-0.453565\pi\)
0.974093 + 0.226146i \(0.0726126\pi\)
\(18\) −44058.0 112258.i −0.0989233 0.252053i
\(19\) 604783. 186551.i 1.06465 0.328402i 0.287544 0.957767i \(-0.407161\pi\)
0.777110 + 0.629365i \(0.216685\pi\)
\(20\) −235961. + 218939.i −0.329765 + 0.305977i
\(21\) −114772. + 143919.i −0.128780 + 0.161485i
\(22\) −553836. + 694489.i −0.504057 + 0.632067i
\(23\) 741649. 688150.i 0.552616 0.512752i −0.353697 0.935360i \(-0.615076\pi\)
0.906313 + 0.422608i \(0.138885\pi\)
\(24\) −811926. + 250446.i −0.499535 + 0.154086i
\(25\) −347256. 884794.i −0.177795 0.453015i
\(26\) −1.17016e6 + 797804.i −0.502188 + 0.342386i
\(27\) −2.15795e6 1.03921e6i −0.781456 0.376329i
\(28\) −280827. 260569.i −0.0863431 0.0801147i
\(29\) 2.02898e6 305819.i 0.532704 0.0802923i 0.122819 0.992429i \(-0.460807\pi\)
0.409886 + 0.912137i \(0.365569\pi\)
\(30\) 333692. 4.45281e6i 0.0752143 1.00366i
\(31\) 1.01838e6 2.59478e6i 0.198052 0.504630i −0.797000 0.603979i \(-0.793581\pi\)
0.995053 + 0.0993497i \(0.0316762\pi\)
\(32\) −1.45083e6 6.35651e6i −0.244592 1.07163i
\(33\) −355173. 4.73946e6i −0.0521348 0.695690i
\(34\) −1.28715e7 3.97034e6i −1.65186 0.509533i
\(35\) −1.07510e6 + 517740.i −0.121099 + 0.0583184i
\(36\) −671410. + 1.16292e6i −0.0666234 + 0.115395i
\(37\) −7.06192e6 1.22316e7i −0.619462 1.07294i −0.989584 0.143957i \(-0.954017\pi\)
0.370121 0.928983i \(-0.379316\pi\)
\(38\) −1.50968e7 1.02928e7i −1.17452 0.800772i
\(39\) 1.68618e6 7.38765e6i 0.116712 0.511347i
\(40\) −5.44638e6 820909.i −0.336386 0.0507020i
\(41\) 133545. + 167461.i 0.00738077 + 0.00925520i 0.785508 0.618851i \(-0.212402\pi\)
−0.778127 + 0.628106i \(0.783830\pi\)
\(42\) 5.31434e6 0.263529
\(43\) 2.17389e7 + 5.47851e6i 0.969681 + 0.244374i
\(44\) 9.89107e6 0.397838
\(45\) 2.60784e6 + 3.27013e6i 0.0948037 + 0.118880i
\(46\) −2.88822e7 4.35329e6i −0.951085 0.143353i
\(47\) −2.12091e6 + 9.29232e6i −0.0633990 + 0.277769i −0.996684 0.0813670i \(-0.974071\pi\)
0.933285 + 0.359136i \(0.116929\pi\)
\(48\) 4.12738e7 + 2.81400e7i 1.12225 + 0.765136i
\(49\) 1.94667e7 + 3.37174e7i 0.482404 + 0.835547i
\(50\) −1.37204e7 + 2.37644e7i −0.310456 + 0.537726i
\(51\) 6.49334e7 3.12703e7i 1.34401 0.647241i
\(52\) 1.50694e7 + 4.64829e6i 0.285812 + 0.0881614i
\(53\) 1.92567e6 + 2.56962e7i 0.0335227 + 0.447330i 0.988558 + 0.150839i \(0.0481974\pi\)
−0.955036 + 0.296491i \(0.904184\pi\)
\(54\) 1.53867e7 + 6.74137e7i 0.246249 + 1.07889i
\(55\) 1.12558e7 2.86793e7i 0.165861 0.422607i
\(56\) 489870. 6.53686e6i 0.00665632 0.0888225i
\(57\) 9.66707e7 1.45708e7i 1.21299 0.182829i
\(58\) −4.34244e7 4.02920e7i −0.503858 0.467512i
\(59\) −1.07136e8 5.15942e7i −1.15107 0.554328i −0.241718 0.970347i \(-0.577711\pi\)
−0.909356 + 0.416019i \(0.863425\pi\)
\(60\) −4.10816e7 + 2.80090e7i −0.409229 + 0.279008i
\(61\) −1.18849e6 3.02822e6i −0.0109903 0.0280029i 0.925273 0.379301i \(-0.123836\pi\)
−0.936264 + 0.351298i \(0.885740\pi\)
\(62\) −7.68984e7 + 2.37200e7i −0.660929 + 0.203870i
\(63\) −3.64910e6 + 3.38587e6i −0.0291846 + 0.0270794i
\(64\) −1.41238e7 + 1.77107e7i −0.105231 + 0.131955i
\(65\) 3.06264e7 3.84043e7i 0.212807 0.266851i
\(66\) −1.00583e8 + 9.33272e7i −0.652493 + 0.605425i
\(67\) 3.48945e7 1.07635e7i 0.211554 0.0652557i −0.187167 0.982328i \(-0.559931\pi\)
0.398721 + 0.917072i \(0.369454\pi\)
\(68\) 5.47968e7 + 1.39620e8i 0.310789 + 0.791877i
\(69\) 1.29124e8 8.80351e7i 0.685781 0.467557i
\(70\) 3.10379e7 + 1.49471e7i 0.154508 + 0.0744072i
\(71\) 2.29704e7 + 2.13134e7i 0.107277 + 0.0995382i 0.731988 0.681318i \(-0.238593\pi\)
−0.624711 + 0.780856i \(0.714783\pi\)
\(72\) −2.27206e7 + 3.42459e6i −0.0996379 + 0.0150180i
\(73\) −3.58064e6 + 4.77803e7i −0.0147573 + 0.196923i 0.984952 + 0.172826i \(0.0552899\pi\)
−0.999710 + 0.0240965i \(0.992329\pi\)
\(74\) −1.48969e8 + 3.79566e8i −0.577501 + 1.47145i
\(75\) −3.26708e7 1.43140e8i −0.119229 0.522378i
\(76\) 1.52043e7 + 2.02887e8i 0.0522764 + 0.697580i
\(77\) 3.50381e7 + 1.08078e7i 0.113588 + 0.0350373i
\(78\) −1.97100e8 + 9.49185e7i −0.602923 + 0.290352i
\(79\) 1.78280e7 3.08789e7i 0.0514967 0.0891950i −0.839128 0.543934i \(-0.816934\pi\)
0.890625 + 0.454739i \(0.150267\pi\)
\(80\) 1.61909e8 + 2.80435e8i 0.441944 + 0.765469i
\(81\) −3.73618e8 2.54728e8i −0.964373 0.657498i
\(82\) 1.37599e6 6.02860e6i 0.00336088 0.0147250i
\(83\) −1.73815e8 2.61985e7i −0.402010 0.0605933i −0.0550745 0.998482i \(-0.517540\pi\)
−0.346936 + 0.937889i \(0.612778\pi\)
\(84\) −3.68952e7 4.62652e7i −0.0808563 0.101391i
\(85\) 4.67188e8 0.970747
\(86\) −2.67643e8 5.89289e8i −0.527610 1.16168i
\(87\) 3.16951e8 0.593138
\(88\) 1.05525e8 + 1.32324e8i 0.187578 + 0.235215i
\(89\) 2.19865e8 + 3.31394e7i 0.371451 + 0.0559873i 0.332115 0.943239i \(-0.392238\pi\)
0.0393358 + 0.999226i \(0.487476\pi\)
\(90\) 2.68700e7 1.17725e8i 0.0431694 0.189137i
\(91\) 4.83027e7 + 3.29322e7i 0.0738389 + 0.0503425i
\(92\) 1.62618e8 + 2.81663e8i 0.236659 + 0.409906i
\(93\) 2.15286e8 3.72887e8i 0.298430 0.516897i
\(94\) 2.47916e8 1.19390e8i 0.327514 0.157722i
\(95\) 6.05577e8 + 1.86796e8i 0.762804 + 0.235294i
\(96\) −7.52625e7 1.00431e9i −0.0904395 1.20683i
\(97\) 3.19155e8 + 1.39831e9i 0.366040 + 1.60373i 0.737547 + 0.675296i \(0.235984\pi\)
−0.371507 + 0.928430i \(0.621159\pi\)
\(98\) 4.10644e8 1.04630e9i 0.449726 1.14588i
\(99\) 9.60475e6 1.28167e8i 0.0100491 0.134096i
\(100\) 3.02140e8 4.55403e7i 0.302140 0.0455403i
\(101\) −9.42890e8 8.74875e8i −0.901602 0.836565i 0.0855520 0.996334i \(-0.472735\pi\)
−0.987154 + 0.159769i \(0.948925\pi\)
\(102\) −1.87462e9 9.02768e8i −1.71479 0.825801i
\(103\) 4.36554e8 2.97638e8i 0.382182 0.260567i −0.356956 0.934121i \(-0.616185\pi\)
0.739138 + 0.673554i \(0.235233\pi\)
\(104\) 9.85851e7 + 2.51191e8i 0.0826345 + 0.210549i
\(105\) −1.76132e8 + 5.43296e7i −0.141412 + 0.0436199i
\(106\) 5.45336e8 5.05998e8i 0.419554 0.389289i
\(107\) −6.97889e8 + 8.75125e8i −0.514706 + 0.645421i −0.969476 0.245188i \(-0.921150\pi\)
0.454769 + 0.890609i \(0.349722\pi\)
\(108\) 4.80061e8 6.01977e8i 0.339539 0.425768i
\(109\) −9.54224e8 + 8.85391e8i −0.647487 + 0.600780i −0.933990 0.357299i \(-0.883698\pi\)
0.286503 + 0.958079i \(0.407507\pi\)
\(110\) −8.49934e8 + 2.62170e8i −0.553501 + 0.170732i
\(111\) −7.97054e8 2.03086e9i −0.498350 1.26978i
\(112\) −3.18425e8 + 2.17098e8i −0.191217 + 0.130369i
\(113\) −4.91165e8 2.36533e8i −0.283383 0.136470i 0.286793 0.957993i \(-0.407411\pi\)
−0.570176 + 0.821522i \(0.693125\pi\)
\(114\) −2.06896e9 1.91971e9i −1.14731 1.06455i
\(115\) 1.00174e9 1.50988e8i 0.534091 0.0805012i
\(116\) −4.92931e7 + 6.57771e8i −0.0252770 + 0.337298i
\(117\) 7.48648e7 1.90753e8i 0.0369353 0.0941096i
\(118\) 7.63910e8 + 3.34691e9i 0.362722 + 1.58919i
\(119\) 4.15515e7 + 5.54466e8i 0.0189944 + 0.253462i
\(120\) −8.12992e8 2.50775e8i −0.357907 0.110400i
\(121\) 1.27148e9 6.12314e8i 0.539233 0.259681i
\(122\) −4.69581e7 + 8.13338e7i −0.0191907 + 0.0332393i
\(123\) 1.65427e7 + 2.86528e7i 0.00651679 + 0.0112874i
\(124\) 7.40373e8 + 5.04777e8i 0.281224 + 0.191735i
\(125\) 6.46965e8 2.83454e9i 0.237020 1.03845i
\(126\) 1.42108e8 + 2.14193e7i 0.0502285 + 0.00757073i
\(127\) 2.13161e9 + 2.67296e9i 0.727096 + 0.911749i 0.998716 0.0506553i \(-0.0161310\pi\)
−0.271621 + 0.962404i \(0.587560\pi\)
\(128\) −2.68425e9 −0.883848
\(129\) 3.19431e9 + 1.33728e9i 1.01560 + 0.425174i
\(130\) −1.41811e9 −0.435477
\(131\) 4.92741e8 + 6.17878e8i 0.146183 + 0.183308i 0.849532 0.527537i \(-0.176884\pi\)
−0.703349 + 0.710845i \(0.748313\pi\)
\(132\) 1.51078e9 + 2.27714e8i 0.433131 + 0.0652840i
\(133\) −1.67832e8 + 7.35322e8i −0.0465097 + 0.203772i
\(134\) −8.71050e8 5.93872e8i −0.233384 0.159119i
\(135\) −1.19914e9 2.07698e9i −0.310720 0.538183i
\(136\) −1.28324e9 + 2.22264e9i −0.321649 + 0.557113i
\(137\) 2.81664e9 1.35642e9i 0.683106 0.328967i −0.0599444 0.998202i \(-0.519092\pi\)
0.743051 + 0.669235i \(0.233378\pi\)
\(138\) −4.31130e9 1.32986e9i −1.01193 0.312140i
\(139\) 5.59084e8 + 7.46046e9i 0.127031 + 1.69512i 0.588931 + 0.808183i \(0.299549\pi\)
−0.461900 + 0.886932i \(0.652832\pi\)
\(140\) −8.53581e7 3.73978e8i −0.0187788 0.0822754i
\(141\) −5.37882e8 + 1.37050e9i −0.114604 + 0.292007i
\(142\) 6.76040e7 9.02113e8i 0.0139532 0.186193i
\(143\) −1.49254e9 + 2.24965e8i −0.298480 + 0.0449886i
\(144\) 9.90261e8 + 9.18827e8i 0.191919 + 0.178075i
\(145\) 1.85112e9 + 8.91453e8i 0.347759 + 0.167472i
\(146\) 1.14292e9 7.79227e8i 0.208174 0.141931i
\(147\) 2.19714e9 + 5.59823e9i 0.388088 + 0.988832i
\(148\) 4.33862e9 1.33829e9i 0.743317 0.229283i
\(149\) 2.96627e9 2.75230e9i 0.493030 0.457465i −0.394045 0.919091i \(-0.628924\pi\)
0.887074 + 0.461627i \(0.152734\pi\)
\(150\) −2.64278e9 + 3.31395e9i −0.426237 + 0.534484i
\(151\) 2.08814e9 2.61844e9i 0.326860 0.409870i −0.591064 0.806624i \(-0.701292\pi\)
0.917925 + 0.396754i \(0.129864\pi\)
\(152\) −2.55204e9 + 2.36794e9i −0.387785 + 0.359812i
\(153\) 1.86238e9 5.74468e8i 0.274762 0.0847529i
\(154\) −3.86740e8 9.85398e8i −0.0554085 0.141178i
\(155\) 2.30613e9 1.57230e9i 0.320916 0.218797i
\(156\) 2.19472e9 + 1.05692e9i 0.296700 + 0.142883i
\(157\) 7.00098e9 + 6.49596e9i 0.919624 + 0.853287i 0.989539 0.144266i \(-0.0460822\pi\)
−0.0699146 + 0.997553i \(0.522273\pi\)
\(158\) −1.01788e9 + 1.53421e8i −0.129939 + 0.0195852i
\(159\) −2.97453e8 + 3.96923e9i −0.0369089 + 0.492514i
\(160\) 2.38514e9 6.07725e9i 0.287723 0.733106i
\(161\) 2.68289e8 + 1.17545e9i 0.0314693 + 0.137876i
\(162\) 9.75577e8 + 1.30182e10i 0.111287 + 1.48502i
\(163\) −1.33276e9 4.11102e8i −0.147879 0.0456147i 0.219932 0.975515i \(-0.429417\pi\)
−0.367811 + 0.929901i \(0.619893\pi\)
\(164\) −6.20362e7 + 2.98750e7i −0.00669650 + 0.00322486i
\(165\) 2.37949e9 4.12140e9i 0.249923 0.432880i
\(166\) 2.53735e9 + 4.39482e9i 0.259355 + 0.449215i
\(167\) −5.72246e9 3.90151e9i −0.569323 0.388158i 0.244170 0.969732i \(-0.421484\pi\)
−0.813493 + 0.581575i \(0.802437\pi\)
\(168\) 2.25316e8 9.87175e8i 0.0218223 0.0956098i
\(169\) 8.10639e9 + 1.22184e9i 0.764429 + 0.115219i
\(170\) −8.40939e9 1.05450e10i −0.772226 0.968341i
\(171\) 2.64374e9 0.236448
\(172\) −3.27205e9 + 6.42121e9i −0.285063 + 0.559421i
\(173\) −8.35941e9 −0.709526 −0.354763 0.934956i \(-0.615438\pi\)
−0.354763 + 0.934956i \(0.615438\pi\)
\(174\) −5.70513e9 7.15401e9i −0.471839 0.591667i
\(175\) 1.12006e9 + 1.68822e8i 0.0902758 + 0.0136069i
\(176\) 2.21417e9 9.70092e9i 0.173942 0.762089i
\(177\) −1.51764e10 1.03471e10i −1.16222 0.792392i
\(178\) −3.20958e9 5.55916e9i −0.239640 0.415068i
\(179\) −4.60061e9 + 7.96849e9i −0.334947 + 0.580146i −0.983475 0.181045i \(-0.942052\pi\)
0.648527 + 0.761191i \(0.275385\pi\)
\(180\) −1.21143e9 + 5.83392e8i −0.0860143 + 0.0414223i
\(181\) −1.93820e10 5.97856e9i −1.34229 0.414040i −0.461326 0.887231i \(-0.652626\pi\)
−0.880960 + 0.473190i \(0.843102\pi\)
\(182\) −1.26126e8 1.68304e9i −0.00852087 0.113703i
\(183\) −1.11816e8 4.89898e8i −0.00737011 0.0322906i
\(184\) −2.03319e9 + 5.18049e9i −0.130767 + 0.333189i
\(185\) 1.05686e9 1.41028e10i 0.0663354 0.885184i
\(186\) −1.22917e10 + 1.85268e9i −0.753016 + 0.113499i
\(187\) −1.05236e10 9.76448e9i −0.629328 0.583931i
\(188\) −2.76056e9 1.32941e9i −0.161171 0.0776158i
\(189\) 2.35834e9 1.60789e9i 0.134440 0.0916596i
\(190\) −6.68418e9 1.70310e10i −0.372097 0.948089i
\(191\) 9.30623e9 2.87059e9i 0.505968 0.156071i −0.0312535 0.999511i \(-0.509950\pi\)
0.537222 + 0.843441i \(0.319474\pi\)
\(192\) −2.56505e9 + 2.38002e9i −0.136220 + 0.126393i
\(193\) 6.74710e9 8.46060e9i 0.350033 0.438928i −0.575381 0.817886i \(-0.695146\pi\)
0.925414 + 0.378958i \(0.123717\pi\)
\(194\) 2.58169e10 3.23733e10i 1.30857 1.64089i
\(195\) 5.56209e9 5.16086e9i 0.275475 0.255603i
\(196\) −1.19597e10 + 3.68909e9i −0.578855 + 0.178553i
\(197\) −4.88061e9 1.24356e10i −0.230874 0.588258i 0.767747 0.640753i \(-0.221378\pi\)
−0.998621 + 0.0524950i \(0.983283\pi\)
\(198\) −3.06577e9 + 2.09021e9i −0.141758 + 0.0966488i
\(199\) 2.68795e10 + 1.29445e10i 1.21502 + 0.585121i 0.927919 0.372781i \(-0.121596\pi\)
0.287096 + 0.957902i \(0.407310\pi\)
\(200\) 3.83268e9 + 3.55621e9i 0.169382 + 0.157164i
\(201\) 5.57766e9 8.40697e8i 0.241029 0.0363293i
\(202\) −2.77502e9 + 3.70301e10i −0.117269 + 1.56485i
\(203\) −8.93352e8 + 2.27622e9i −0.0369225 + 0.0940769i
\(204\) 5.15543e9 + 2.25874e10i 0.208415 + 0.913126i
\(205\) 1.60275e7 + 2.13872e8i 0.000633830 + 0.00845787i
\(206\) −1.45761e10 4.49612e9i −0.563946 0.173954i
\(207\) 3.80764e9 1.83366e9i 0.144142 0.0694150i
\(208\) 7.93230e9 1.37391e10i 0.293842 0.508950i
\(209\) −9.73675e9 1.68645e10i −0.352985 0.611387i
\(210\) 4.39668e9 + 2.99761e9i 0.156005 + 0.106362i
\(211\) −3.26940e9 + 1.43242e10i −0.113553 + 0.497506i 0.885883 + 0.463909i \(0.153553\pi\)
−0.999435 + 0.0335973i \(0.989304\pi\)
\(212\) −8.19111e9 1.23461e9i −0.278504 0.0419777i
\(213\) 3.01786e9 + 3.78428e9i 0.100459 + 0.125972i
\(214\) 3.23148e10 1.05327
\(215\) 1.48949e10 + 1.67945e10i 0.475405 + 0.536036i
\(216\) 1.31749e10 0.411819
\(217\) 2.07113e9 + 2.59712e9i 0.0634073 + 0.0795102i
\(218\) 3.71605e10 + 5.60105e9i 1.11437 + 0.167964i
\(219\) −1.64692e9 + 7.21563e9i −0.0483809 + 0.211971i
\(220\) 8.18311e9 + 5.57915e9i 0.235514 + 0.160571i
\(221\) −1.14443e10 1.98221e10i −0.322718 0.558964i
\(222\) −3.14922e10 + 5.45462e10i −0.870192 + 1.50722i
\(223\) 2.59018e10 1.24736e10i 0.701387 0.337770i −0.0489723 0.998800i \(-0.515595\pi\)
0.750360 + 0.661030i \(0.229880\pi\)
\(224\) 7.42471e9 + 2.29022e9i 0.197044 + 0.0607800i
\(225\) −2.96708e8 3.95930e9i −0.00771806 0.102990i
\(226\) 3.50213e9 + 1.53438e10i 0.0892986 + 0.391243i
\(227\) −2.35151e10 + 5.99154e10i −0.587800 + 1.49769i 0.259053 + 0.965863i \(0.416590\pi\)
−0.846853 + 0.531827i \(0.821506\pi\)
\(228\) −2.34857e9 + 3.13395e10i −0.0575568 + 0.768042i
\(229\) 7.55470e10 1.13869e10i 1.81534 0.273618i 0.848535 0.529139i \(-0.177485\pi\)
0.966804 + 0.255520i \(0.0822467\pi\)
\(230\) −2.14394e10 1.98928e10i −0.505169 0.468728i
\(231\) 5.10298e9 + 2.45746e9i 0.117915 + 0.0567850i
\(232\) −9.32560e9 + 6.35809e9i −0.211340 + 0.144089i
\(233\) −1.59324e10 4.05952e10i −0.354144 0.902345i −0.991301 0.131611i \(-0.957985\pi\)
0.637157 0.770734i \(-0.280110\pi\)
\(234\) −5.65311e9 + 1.74375e9i −0.123258 + 0.0380201i
\(235\) −6.99610e9 + 6.49143e9i −0.149641 + 0.138847i
\(236\) 2.38337e10 2.98866e10i 0.500136 0.627151i
\(237\) 3.43398e9 4.30608e9i 0.0707018 0.0886572i
\(238\) 1.17671e10 1.09183e10i 0.237724 0.220576i
\(239\) −8.02653e10 + 2.47586e10i −1.59125 + 0.490834i −0.958874 0.283831i \(-0.908394\pi\)
−0.632371 + 0.774666i \(0.717918\pi\)
\(240\) 1.82741e10 + 4.65618e10i 0.355538 + 0.905897i
\(241\) −7.19158e10 + 4.90313e10i −1.37324 + 0.936261i −0.373280 + 0.927719i \(0.621767\pi\)
−0.999964 + 0.00854233i \(0.997281\pi\)
\(242\) −3.67075e10 1.76774e10i −0.687995 0.331321i
\(243\) −1.66440e10 1.54434e10i −0.306218 0.284129i
\(244\) 1.03408e9 1.55862e8i 0.0186767 0.00281505i
\(245\) −2.91332e9 + 3.88755e10i −0.0516583 + 0.689333i
\(246\) 3.48963e8 8.89143e8i 0.00607535 0.0154797i
\(247\) −6.90882e9 3.02695e10i −0.118105 0.517451i
\(248\) 1.14583e9 + 1.52901e10i 0.0192348 + 0.256671i
\(249\) −2.59458e10 8.00322e9i −0.427730 0.131937i
\(250\) −7.56247e10 + 3.64189e10i −1.22443 + 0.589654i
\(251\) 3.42448e10 5.93137e10i 0.544581 0.943243i −0.454052 0.890975i \(-0.650022\pi\)
0.998633 0.0522673i \(-0.0166448\pi\)
\(252\) −8.00123e8 1.38585e9i −0.0124984 0.0216479i
\(253\) −2.57204e10 1.75359e10i −0.394671 0.269082i
\(254\) 2.19631e10 9.62267e10i 0.331087 1.45059i
\(255\) 7.13592e10 + 1.07557e10i 1.05686 + 0.159297i
\(256\) 5.55479e10 + 6.96549e10i 0.808329 + 1.01361i
\(257\) 1.03218e10 0.147590 0.0737949 0.997273i \(-0.476489\pi\)
0.0737949 + 0.997273i \(0.476489\pi\)
\(258\) −2.73137e10 9.61709e10i −0.383788 1.35131i
\(259\) 1.68315e10 0.232420
\(260\) 9.84535e9 + 1.23457e10i 0.133614 + 0.167546i
\(261\) 8.47539e9 + 1.27746e9i 0.113052 + 0.0170398i
\(262\) 5.07697e9 2.22436e10i 0.0665654 0.291642i
\(263\) −8.80928e10 6.00606e10i −1.13538 0.774086i −0.158387 0.987377i \(-0.550629\pi\)
−0.976989 + 0.213291i \(0.931582\pi\)
\(264\) 1.30717e10 + 2.26408e10i 0.165620 + 0.286863i
\(265\) −1.29010e10 + 2.23453e10i −0.160701 + 0.278342i
\(266\) 1.96182e10 9.44762e9i 0.240265 0.115706i
\(267\) 3.28198e10 + 1.01236e10i 0.395216 + 0.121908i
\(268\) 8.77252e8 + 1.17061e10i 0.0103877 + 0.138614i
\(269\) 2.19351e10 + 9.61042e10i 0.255420 + 1.11907i 0.926087 + 0.377310i \(0.123151\pi\)
−0.670667 + 0.741759i \(0.733992\pi\)
\(270\) −2.52955e10 + 6.44519e10i −0.289672 + 0.738073i
\(271\) −7.17594e9 + 9.57562e10i −0.0808196 + 1.07846i 0.798426 + 0.602094i \(0.205667\pi\)
−0.879245 + 0.476370i \(0.841952\pi\)
\(272\) 1.49202e11 2.24887e10i 1.65278 0.249117i
\(273\) 6.61969e9 + 6.14217e9i 0.0721283 + 0.0669252i
\(274\) −8.13158e10 3.91596e10i −0.871560 0.419721i
\(275\) −2.41638e10 + 1.64746e10i −0.254782 + 0.173707i
\(276\) 1.83541e10 + 4.67656e10i 0.190390 + 0.485105i
\(277\) −1.11093e11 + 3.42678e10i −1.13378 + 0.349725i −0.804174 0.594394i \(-0.797392\pi\)
−0.329606 + 0.944119i \(0.606916\pi\)
\(278\) 1.58329e11 1.46908e11i 1.58986 1.47517i
\(279\) 7.25975e9 9.10343e9i 0.0717303 0.0899469i
\(280\) 4.09246e9 5.13178e9i 0.0397899 0.0498950i
\(281\) −1.91809e10 + 1.77972e10i −0.183523 + 0.170284i −0.766584 0.642144i \(-0.778045\pi\)
0.583061 + 0.812428i \(0.301855\pi\)
\(282\) 4.06159e10 1.25283e10i 0.382450 0.117970i
\(283\) −4.14381e10 1.05583e11i −0.384026 0.978483i −0.983953 0.178428i \(-0.942899\pi\)
0.599927 0.800055i \(-0.295196\pi\)
\(284\) −8.32288e9 + 5.67445e9i −0.0759174 + 0.0517596i
\(285\) 8.81966e10 + 4.24733e10i 0.791863 + 0.381341i
\(286\) 3.19436e10 + 2.96393e10i 0.282317 + 0.261952i
\(287\) −2.52401e8 + 3.80433e7i −0.00219595 + 0.000330986i
\(288\) 2.03528e9 2.71590e10i 0.0174324 0.232620i
\(289\) 3.62070e10 9.22540e10i 0.305318 0.777938i
\(290\) −1.31990e10 5.78284e10i −0.109584 0.480121i
\(291\) 1.65563e10 + 2.20928e11i 0.135346 + 1.80606i
\(292\) −1.47185e10 4.54006e9i −0.118479 0.0365459i
\(293\) −5.52910e10 + 2.66268e10i −0.438279 + 0.211064i −0.639993 0.768380i \(-0.721063\pi\)
0.201715 + 0.979444i \(0.435349\pi\)
\(294\) 8.68108e10 1.50361e11i 0.677658 1.17374i
\(295\) −5.95343e10 1.03116e11i −0.457686 0.792736i
\(296\) 6.41910e10 + 4.37647e10i 0.486028 + 0.331369i
\(297\) −1.63987e10 + 7.18476e10i −0.122294 + 0.535807i
\(298\) −1.15516e11 1.74112e10i −0.848534 0.127896i
\(299\) −3.09450e10 3.88038e10i −0.223908 0.280772i
\(300\) 4.71980e10 0.336417
\(301\) −1.86072e10 + 1.91712e10i −0.130657 + 0.134617i
\(302\) −9.66882e10 −0.668870
\(303\) −1.23878e11 1.55338e11i −0.844308 1.05873i
\(304\) 2.02391e11 + 3.05055e10i 1.35912 + 0.204855i
\(305\) 7.24831e8 3.17569e9i 0.00479609 0.0210130i
\(306\) −4.64894e10 3.16959e10i −0.303115 0.206660i
\(307\) −1.39845e11 2.42218e11i −0.898511 1.55627i −0.829398 0.558658i \(-0.811316\pi\)
−0.0691135 0.997609i \(-0.522017\pi\)
\(308\) −5.89362e9 + 1.02081e10i −0.0373168 + 0.0646345i
\(309\) 7.35325e10 3.54114e10i 0.458845 0.220968i
\(310\) −7.69993e10 2.37511e10i −0.473543 0.146069i
\(311\) 3.75363e9 + 5.00887e10i 0.0227525 + 0.303611i 0.996958 + 0.0779464i \(0.0248363\pi\)
−0.974205 + 0.225665i \(0.927545\pi\)
\(312\) 9.27514e9 + 4.06371e10i 0.0554147 + 0.242788i
\(313\) −7.56128e10 + 1.92658e11i −0.445293 + 1.13459i 0.515394 + 0.856954i \(0.327646\pi\)
−0.960687 + 0.277635i \(0.910450\pi\)
\(314\) 2.06046e10 2.74949e11i 0.119614 1.59613i
\(315\) −4.92882e9 + 7.42900e8i −0.0282063 + 0.00425141i
\(316\) 8.40237e9 + 7.79626e9i 0.0474034 + 0.0439840i
\(317\) 1.44515e10 + 6.95949e9i 0.0803799 + 0.0387089i 0.473642 0.880718i \(-0.342939\pi\)
−0.393262 + 0.919426i \(0.628653\pi\)
\(318\) 9.49449e10 6.47323e10i 0.520655 0.354976i
\(319\) −2.30654e10 5.87698e10i −0.124711 0.317758i
\(320\) −2.16749e10 + 6.68582e9i −0.115553 + 0.0356435i
\(321\) −1.26744e11 + 1.17602e11i −0.666279 + 0.618216i
\(322\) 2.17023e10 2.72138e10i 0.112501 0.141071i
\(323\) 1.84114e11 2.30872e11i 0.941187 1.18021i
\(324\) 1.06559e11 9.88727e10i 0.537204 0.498453i
\(325\) −4.45566e10 + 1.37439e10i −0.221532 + 0.0683337i
\(326\) 1.47106e10 + 3.74820e10i 0.0721358 + 0.183799i
\(327\) −1.66134e11 + 1.13268e11i −0.803514 + 0.547826i
\(328\) −1.06151e9 5.11198e8i −0.00506400 0.00243869i
\(329\) −8.32636e9 7.72573e9i −0.0391808 0.0363545i
\(330\) −1.35856e11 + 2.04771e10i −0.630620 + 0.0950507i
\(331\) −2.16777e9 + 2.89269e10i −0.00992631 + 0.132457i −0.999965 0.00833642i \(-0.997346\pi\)
0.990039 + 0.140794i \(0.0449655\pi\)
\(332\) 2.06443e10 5.26008e10i 0.0932564 0.237613i
\(333\) −1.31282e10 5.75185e10i −0.0585069 0.256336i
\(334\) 1.49423e10 + 1.99391e11i 0.0656988 + 0.876690i
\(335\) 3.49403e10 + 1.07777e10i 0.151574 + 0.0467544i
\(336\) −5.36349e10 + 2.58292e10i −0.229573 + 0.110557i
\(337\) −2.34296e11 + 4.05813e11i −0.989534 + 1.71392i −0.369799 + 0.929112i \(0.620573\pi\)
−0.619735 + 0.784811i \(0.712760\pi\)
\(338\) −1.18337e11 2.04965e11i −0.493167 0.854191i
\(339\) −6.95761e10 4.74362e10i −0.286129 0.195079i
\(340\) −3.34193e10 + 1.46420e11i −0.135626 + 0.594216i
\(341\) −8.48085e10 1.27828e10i −0.339660 0.0511956i
\(342\) −4.75874e10 5.96727e10i −0.188094 0.235862i
\(343\) −9.44868e10 −0.368594
\(344\) −1.20812e11 + 2.47320e10i −0.465154 + 0.0952240i
\(345\) 1.56484e11 0.594681
\(346\) 1.50470e11 + 1.88683e11i 0.564425 + 0.707767i
\(347\) 3.52675e11 + 5.31573e10i 1.30585 + 0.196825i 0.764855 0.644202i \(-0.222811\pi\)
0.540993 + 0.841027i \(0.318049\pi\)
\(348\) −2.26724e10 + 9.93345e10i −0.0828689 + 0.363072i
\(349\) −3.96762e10 2.70508e10i −0.143158 0.0976034i 0.489623 0.871934i \(-0.337134\pi\)
−0.632781 + 0.774331i \(0.718087\pi\)
\(350\) −1.63506e10 2.83201e10i −0.0582409 0.100876i
\(351\) −5.87487e10 + 1.01756e11i −0.206593 + 0.357830i
\(352\) −1.80744e11 + 8.70418e10i −0.627512 + 0.302194i
\(353\) 5.19732e11 + 1.60316e11i 1.78153 + 0.549530i 0.997466 0.0711489i \(-0.0226665\pi\)
0.784065 + 0.620678i \(0.213143\pi\)
\(354\) 3.96282e10 + 5.28801e11i 0.134119 + 1.78969i
\(355\) 6.98190e9 + 3.05897e10i 0.0233317 + 0.102223i
\(356\) −2.61137e10 + 6.65366e10i −0.0861675 + 0.219551i
\(357\) −6.41835e9 + 8.56469e10i −0.0209130 + 0.279064i
\(358\) 2.62670e11 3.95912e10i 0.845157 0.127387i
\(359\) −1.34519e11 1.24815e11i −0.427423 0.396591i 0.436914 0.899503i \(-0.356071\pi\)
−0.864337 + 0.502913i \(0.832262\pi\)
\(360\) −2.07290e10 9.98255e9i −0.0650454 0.0313242i
\(361\) 6.43444e10 4.38693e10i 0.199402 0.135950i
\(362\) 2.13933e11 + 5.45092e11i 0.654770 + 1.66833i
\(363\) 2.08306e11 6.42538e10i 0.629682 0.194231i
\(364\) −1.37764e10 + 1.27826e10i −0.0411320 + 0.0381649i
\(365\) −2.99133e10 + 3.75101e10i −0.0882157 + 0.110619i
\(366\) −9.04495e9 + 1.13420e10i −0.0263476 + 0.0330389i
\(367\) 2.96708e11 2.75305e11i 0.853752 0.792166i −0.126073 0.992021i \(-0.540237\pi\)
0.979826 + 0.199855i \(0.0640470\pi\)
\(368\) 3.12651e11 9.64400e10i 0.888678 0.274121i
\(369\) 3.26874e8 + 8.32862e8i 0.000917830 + 0.00233859i
\(370\) −3.37343e11 + 2.29997e11i −0.935759 + 0.637990i
\(371\) −2.76671e10 1.33238e10i −0.0758196 0.0365128i
\(372\) 1.01465e11 + 9.41458e10i 0.274709 + 0.254893i
\(373\) 5.99912e11 9.04222e10i 1.60471 0.241872i 0.715247 0.698871i \(-0.246314\pi\)
0.889467 + 0.457000i \(0.151076\pi\)
\(374\) −3.09720e10 + 4.13293e11i −0.0818554 + 1.09228i
\(375\) 1.64076e11 4.18059e11i 0.428454 1.09168i
\(376\) −1.16664e10 5.11140e10i −0.0301019 0.131885i
\(377\) −7.52225e9 1.00377e11i −0.0191784 0.255918i
\(378\) −7.87424e10 2.42888e10i −0.198379 0.0611918i
\(379\) 4.91562e11 2.36724e11i 1.22377 0.589339i 0.293415 0.955985i \(-0.405208\pi\)
0.930360 + 0.366646i \(0.119494\pi\)
\(380\) −1.01862e11 + 1.76430e11i −0.250602 + 0.434055i
\(381\) 2.64050e11 + 4.57348e11i 0.641983 + 1.11195i
\(382\) −2.32305e11 1.58383e11i −0.558180 0.380561i
\(383\) 1.47553e11 6.46472e11i 0.350392 1.53517i −0.425887 0.904776i \(-0.640038\pi\)
0.776279 0.630390i \(-0.217105\pi\)
\(384\) −4.09998e11 6.17972e10i −0.962256 0.145037i
\(385\) 2.28916e10 + 2.87051e10i 0.0531010 + 0.0665865i
\(386\) −3.12415e11 −0.716290
\(387\) 8.00274e10 + 4.86338e10i 0.181359 + 0.110215i
\(388\) −4.61069e11 −1.03282
\(389\) −2.24000e11 2.80888e11i −0.495993 0.621955i 0.469327 0.883024i \(-0.344496\pi\)
−0.965320 + 0.261069i \(0.915925\pi\)
\(390\) −2.16605e11 3.26480e10i −0.474109 0.0714605i
\(391\) 1.05040e11 4.60212e11i 0.227280 0.995778i
\(392\) −1.76948e11 1.20641e11i −0.378492 0.258052i
\(393\) 6.10374e10 + 1.05720e11i 0.129071 + 0.223558i
\(394\) −1.92837e11 + 3.34003e11i −0.403140 + 0.698260i
\(395\) 3.21670e10 1.54908e10i 0.0664851 0.0320175i
\(396\) 3.94811e10 + 1.21783e10i 0.0806792 + 0.0248862i
\(397\) 4.58703e10 + 6.12096e11i 0.0926774 + 1.23669i 0.828683 + 0.559719i \(0.189091\pi\)
−0.736005 + 0.676976i \(0.763290\pi\)
\(398\) −1.91657e11 8.39706e11i −0.382871 1.67747i
\(399\) −4.25638e10 + 1.08451e11i −0.0840741 + 0.214217i
\(400\) 2.29710e10 3.06526e11i 0.0448652 0.598684i
\(401\) −3.97299e11 + 5.98832e10i −0.767304 + 0.115653i −0.521019 0.853545i \(-0.674448\pi\)
−0.246285 + 0.969197i \(0.579210\pi\)
\(402\) −1.19374e11 1.10763e11i −0.227977 0.211532i
\(403\) −1.23202e11 5.93307e10i −0.232672 0.112049i
\(404\) 3.41639e11 2.32926e11i 0.638045 0.435012i
\(405\) −1.65421e11 4.21485e11i −0.305522 0.778457i
\(406\) 6.74578e10 2.08080e10i 0.123215 0.0380069i
\(407\) −3.18563e11 + 2.95583e11i −0.575467 + 0.533956i
\(408\) −2.47175e11 + 3.09947e11i −0.441604 + 0.553754i
\(409\) 4.73267e10 5.93458e10i 0.0836279 0.104866i −0.738257 0.674519i \(-0.764351\pi\)
0.821885 + 0.569653i \(0.192922\pi\)
\(410\) 4.53887e9 4.21146e9i 0.00793269 0.00736047i
\(411\) 4.61447e11 1.42338e11i 0.797689 0.246054i
\(412\) 6.20535e10 + 1.58110e11i 0.106103 + 0.270347i
\(413\) 1.17085e11 7.98273e10i 0.198028 0.135013i
\(414\) −1.09926e11 5.29375e10i −0.183907 0.0885650i
\(415\) −1.29024e11 1.19717e11i −0.213528 0.198125i
\(416\) −3.16275e11 + 4.76708e10i −0.517780 + 0.0780428i
\(417\) −8.63603e10 + 1.15240e12i −0.139863 + 1.86634i
\(418\) −2.05393e11 + 5.23334e11i −0.329074 + 0.838466i
\(419\) −1.73107e11 7.58432e11i −0.274380 1.20214i −0.904785 0.425869i \(-0.859968\pi\)
0.630405 0.776266i \(-0.282889\pi\)
\(420\) −4.42798e9 5.90873e10i −0.00694359 0.0926558i
\(421\) 7.87198e11 + 2.42818e11i 1.22128 + 0.376714i 0.837360 0.546652i \(-0.184098\pi\)
0.383919 + 0.923367i \(0.374574\pi\)
\(422\) 3.82165e11 1.84041e11i 0.586604 0.282493i
\(423\) −1.99069e10 + 3.44798e10i −0.0302324 + 0.0523640i
\(424\) −7.08715e10 1.22753e11i −0.106494 0.184453i
\(425\) −3.66420e11 2.49821e11i −0.544789 0.371431i
\(426\) 3.10946e10 1.36234e11i 0.0457448 0.200421i
\(427\) 3.83343e9 + 5.77796e8i 0.00558035 + 0.000841103i
\(428\) −2.24348e11 2.81323e11i −0.323165 0.405237i
\(429\) −2.33153e11 −0.332341
\(430\) 1.10966e11 6.38499e11i 0.156525 0.900641i
\(431\) −6.21315e11 −0.867289 −0.433645 0.901084i \(-0.642773\pi\)
−0.433645 + 0.901084i \(0.642773\pi\)
\(432\) −4.82940e11 6.05588e11i −0.667139 0.836566i
\(433\) −5.30334e11 7.99350e10i −0.725027 0.109280i −0.223848 0.974624i \(-0.571862\pi\)
−0.501179 + 0.865344i \(0.667100\pi\)
\(434\) 2.13399e10 9.34964e10i 0.0288728 0.126500i
\(435\) 2.62221e11 + 1.78779e11i 0.351128 + 0.239395i
\(436\) −2.09229e11 3.62395e11i −0.277288 0.480278i
\(437\) 3.20162e11 5.54537e11i 0.419955 0.727384i
\(438\) 1.92511e11 9.27084e10i 0.249932 0.120361i
\(439\) 6.73970e11 + 2.07892e11i 0.866065 + 0.267146i 0.695785 0.718250i \(-0.255057\pi\)
0.170280 + 0.985396i \(0.445533\pi\)
\(440\) 1.26645e10 + 1.68996e11i 0.0161084 + 0.214952i
\(441\) 3.61890e10 + 1.58554e11i 0.0455620 + 0.199620i
\(442\) −2.41413e11 + 6.15111e11i −0.300858 + 0.766573i
\(443\) 1.86829e10 2.49306e11i 0.0230477 0.307550i −0.973752 0.227611i \(-0.926909\pi\)
0.996800 0.0799386i \(-0.0254724\pi\)
\(444\) 6.93501e11 1.04528e11i 0.846883 0.127647i
\(445\) 1.63207e11 + 1.51434e11i 0.197296 + 0.183064i
\(446\) −7.47780e11 3.60112e11i −0.894884 0.430954i
\(447\) 5.16439e11 3.52102e11i 0.611836 0.417143i
\(448\) −9.86259e9 2.51295e10i −0.0115675 0.0294735i
\(449\) −7.89103e11 + 2.43406e11i −0.916274 + 0.282633i −0.716807 0.697272i \(-0.754397\pi\)
−0.199467 + 0.979905i \(0.563921\pi\)
\(450\) −8.40258e10 + 7.79646e10i −0.0965954 + 0.0896274i
\(451\) 4.10901e9 5.15254e9i 0.00467674 0.00586444i
\(452\) 1.09265e11 1.37014e11i 0.123129 0.154399i
\(453\) 3.79228e11 3.51872e11i 0.423115 0.392594i
\(454\) 1.77564e12 5.47713e11i 1.96157 0.605065i
\(455\) 2.13862e10 + 5.44912e10i 0.0233928 + 0.0596039i
\(456\) −4.44319e11 + 3.02931e11i −0.481230 + 0.328097i
\(457\) 8.13068e11 + 3.91553e11i 0.871974 + 0.419921i 0.815687 0.578494i \(-0.196359\pi\)
0.0562876 + 0.998415i \(0.482074\pi\)
\(458\) −1.61687e12 1.50023e12i −1.71704 1.59318i
\(459\) −1.10503e12 + 1.66557e11i −1.16203 + 0.175148i
\(460\) −2.43368e10 + 3.24752e11i −0.0253428 + 0.338176i
\(461\) −3.46003e11 + 8.81602e11i −0.356801 + 0.909114i 0.633944 + 0.773379i \(0.281435\pi\)
−0.990745 + 0.135735i \(0.956660\pi\)
\(462\) −3.63855e10 1.59415e11i −0.0371569 0.162795i
\(463\) −2.35956e10 3.14861e11i −0.0238625 0.318423i −0.996343 0.0854401i \(-0.972770\pi\)
0.972481 0.232983i \(-0.0748487\pi\)
\(464\) 6.34091e11 + 1.95591e11i 0.635068 + 0.195893i
\(465\) 3.88441e11 1.87064e11i 0.385290 0.185546i
\(466\) −6.29503e11 + 1.09033e12i −0.618388 + 1.07108i
\(467\) 7.23019e10 + 1.25231e11i 0.0703435 + 0.121838i 0.899052 0.437842i \(-0.144257\pi\)
−0.828708 + 0.559681i \(0.810924\pi\)
\(468\) 5.44277e10 + 3.71082e10i 0.0524462 + 0.0357572i
\(469\) −9.68352e9 + 4.24263e10i −0.00924178 + 0.0404909i
\(470\) 2.72450e11 + 4.10653e10i 0.257541 + 0.0388181i
\(471\) 9.19794e11 + 1.15338e12i 0.861185 + 1.07989i
\(472\) 6.54099e11 0.606603
\(473\) 1.55011e10 6.89615e11i 0.0142393 0.633478i
\(474\) −1.59006e11 −0.144680
\(475\) −3.75074e11 4.70328e11i −0.338061 0.423916i
\(476\) −1.76745e11 2.66401e10i −0.157804 0.0237851i
\(477\) −2.39518e10 + 1.04940e11i −0.0211839 + 0.0928128i
\(478\) 2.00361e12 + 1.36604e12i 1.75545 + 1.19684i
\(479\) 2.55443e11 + 4.42440e11i 0.221709 + 0.384012i 0.955327 0.295551i \(-0.0955031\pi\)
−0.733618 + 0.679562i \(0.762170\pi\)
\(480\) 5.04223e11 8.73340e11i 0.433548 0.750927i
\(481\) −6.24251e11 + 3.00624e11i −0.531749 + 0.256077i
\(482\) 2.40119e12 + 7.40669e11i 2.02635 + 0.625046i
\(483\) 1.39176e10 + 1.85718e11i 0.0116360 + 0.155271i
\(484\) 1.00950e11 + 4.42291e11i 0.0836186 + 0.366357i
\(485\) −5.24685e11 + 1.33687e12i −0.430587 + 1.09712i
\(486\) −4.89851e10 + 6.53660e11i −0.0398291 + 0.531482i
\(487\) −6.10829e11 + 9.20676e10i −0.492084 + 0.0741697i −0.390397 0.920647i \(-0.627662\pi\)
−0.101687 + 0.994816i \(0.532424\pi\)
\(488\) 1.31174e10 + 1.21711e10i 0.0104703 + 0.00971499i
\(489\) −1.94104e11 9.34755e10i −0.153513 0.0739278i
\(490\) 9.29912e11 6.34003e11i 0.728718 0.496832i
\(491\) 3.91873e11 + 9.98477e11i 0.304284 + 0.775303i 0.998459 + 0.0554965i \(0.0176742\pi\)
−0.694175 + 0.719806i \(0.744231\pi\)
\(492\) −1.01633e10 + 3.13497e9i −0.00781975 + 0.00241207i
\(493\) 7.01798e11 6.51173e11i 0.535058 0.496461i
\(494\) −5.58864e11 + 7.00793e11i −0.422216 + 0.529442i
\(495\) 8.02397e10 1.00617e11i 0.0600712 0.0753269i
\(496\) 6.60810e11 6.13142e11i 0.490240 0.454876i
\(497\) −3.56834e10 + 1.10069e10i −0.0262338 + 0.00809207i
\(498\) 2.86382e11 + 7.29689e11i 0.208648 + 0.531626i
\(499\) −1.36395e12 + 9.29926e11i −0.984797 + 0.671423i −0.944756 0.327775i \(-0.893701\pi\)
−0.0400408 + 0.999198i \(0.512749\pi\)
\(500\) 8.42083e11 + 4.05526e11i 0.602546 + 0.290171i
\(501\) −7.84239e11 7.27668e11i −0.556133 0.516016i
\(502\) −1.95520e12 + 2.94699e11i −1.37412 + 0.207115i
\(503\) −3.41194e10 + 4.55291e11i −0.0237654 + 0.317127i 0.972634 + 0.232343i \(0.0746392\pi\)
−0.996399 + 0.0847843i \(0.972980\pi\)
\(504\) 1.00038e10 2.54893e10i 0.00690603 0.0175963i
\(505\) −2.86594e11 1.25565e12i −0.196090 0.859127i
\(506\) 6.71601e10 + 8.96189e11i 0.0455443 + 0.607746i
\(507\) 1.21006e12 + 3.73253e11i 0.813337 + 0.250881i
\(508\) −9.90202e11 + 4.76856e11i −0.659686 + 0.317688i
\(509\) −1.23211e12 + 2.13408e12i −0.813617 + 1.40923i 0.0966995 + 0.995314i \(0.469171\pi\)
−0.910317 + 0.413913i \(0.864162\pi\)
\(510\) −1.04170e12 1.80428e12i −0.681830 1.18096i
\(511\) −4.71780e10 3.21654e10i −0.0306087 0.0208687i
\(512\) 2.66521e11 1.16771e12i 0.171402 0.750963i
\(513\) −1.49896e12 2.25932e11i −0.955568 0.144029i
\(514\) −1.85793e11 2.32977e11i −0.117407 0.147224i
\(515\) 5.29057e11 0.331413
\(516\) −6.47609e11 + 9.05459e11i −0.402151 + 0.562270i
\(517\) 2.93265e11 0.180531
\(518\) −3.02967e11 3.79908e11i −0.184889 0.231844i
\(519\) −1.27683e12 1.92452e11i −0.772470 0.116431i
\(520\) −6.01248e10 + 2.63424e11i −0.0360611 + 0.157994i
\(521\) 8.83100e11 + 6.02087e11i 0.525097 + 0.358005i 0.796672 0.604412i \(-0.206592\pi\)
−0.271574 + 0.962417i \(0.587544\pi\)
\(522\) −1.23723e11 2.14295e11i −0.0729348 0.126327i
\(523\) 1.05855e12 1.83346e12i 0.618663 1.07156i −0.371067 0.928606i \(-0.621008\pi\)
0.989730 0.142950i \(-0.0456588\pi\)
\(524\) −2.28894e11 + 1.10230e11i −0.132631 + 0.0638715i
\(525\) 1.67194e11 + 5.15726e10i 0.0960515 + 0.0296280i
\(526\) 2.30025e11 + 3.06947e12i 0.131020 + 1.74834i
\(527\) −2.89402e11 1.26795e12i −0.163439 0.716071i
\(528\) 5.61533e11 1.43076e12i 0.314429 0.801152i
\(529\) −5.81071e10 + 7.75385e11i −0.0322611 + 0.430494i
\(530\) 7.36582e11 1.11022e11i 0.405489 0.0611177i
\(531\) −3.64120e11 3.37854e11i −0.198756 0.184418i
\(532\) −2.18449e11 1.05199e11i −0.118235 0.0569392i
\(533\) 8.68165e9 5.91905e9i 0.00465940 0.00317672i
\(534\) −3.62255e11 9.23010e11i −0.192787 0.491214i
\(535\) −1.07100e12 + 3.30361e11i −0.565195 + 0.174340i
\(536\) −1.47246e11 + 1.36625e11i −0.0770553 + 0.0714969i
\(537\) −8.86159e11 + 1.11121e12i −0.459862 + 0.576648i
\(538\) 1.77437e12 2.22498e12i 0.913109 1.14500i
\(539\) 8.78144e11 8.14798e11i 0.448143 0.415815i
\(540\) 7.36716e11 2.27247e11i 0.372845 0.115007i
\(541\) 1.04603e12 + 2.66525e12i 0.524998 + 1.33767i 0.909943 + 0.414733i \(0.136125\pi\)
−0.384945 + 0.922939i \(0.625780\pi\)
\(542\) 2.29051e12 1.56165e12i 1.14008 0.777295i
\(543\) −2.82281e12 1.35939e12i −1.39342 0.671036i
\(544\) −2.22999e12 2.06913e12i −1.09171 1.01296i
\(545\) −1.28886e12 + 1.94265e11i −0.625782 + 0.0943214i
\(546\) 1.94824e10 2.59974e11i 0.00938156 0.125188i
\(547\) 7.25321e11 1.84809e12i 0.346408 0.882632i −0.646409 0.762991i \(-0.723730\pi\)
0.992817 0.119642i \(-0.0381746\pi\)
\(548\) 2.23629e11 + 9.79781e11i 0.105929 + 0.464105i
\(549\) −1.01549e9 1.35507e10i −0.000477088 0.00636630i
\(550\) 8.06803e11 + 2.48866e11i 0.375954 + 0.115967i
\(551\) 1.17004e12 5.63462e11i 0.540778 0.260425i
\(552\) −4.29820e11 + 7.44470e11i −0.197043 + 0.341288i
\(553\) 2.12457e10 + 3.67986e10i 0.00966068 + 0.0167328i
\(554\) 2.77315e12 + 1.89070e12i 1.25078 + 0.852765i
\(555\) 4.86105e11 2.12976e12i 0.217476 0.952825i
\(556\) −2.37815e12 3.58448e11i −1.05536 0.159071i
\(557\) −5.57522e11 6.99111e11i −0.245422 0.307750i 0.643828 0.765170i \(-0.277345\pi\)
−0.889251 + 0.457420i \(0.848774\pi\)
\(558\) −3.36152e11 −0.146785
\(559\) 3.47700e11 1.04337e12i 0.150609 0.451944i
\(560\) −3.85896e11 −0.165815
\(561\) −1.38260e12 1.73372e12i −0.589336 0.739004i
\(562\) 7.46964e11 + 1.12587e11i 0.315854 + 0.0476073i
\(563\) −2.16056e11 + 9.46605e11i −0.0906315 + 0.397083i −0.999813 0.0193165i \(-0.993851\pi\)
0.909182 + 0.416399i \(0.136708\pi\)
\(564\) −3.91047e11 2.66612e11i −0.162732 0.110949i
\(565\) −2.72934e11 4.72735e11i −0.112678 0.195164i
\(566\) −1.63725e12 + 2.83580e12i −0.670566 + 1.16145i
\(567\) 4.85513e11 2.33811e11i 0.197277 0.0950037i
\(568\) −1.64707e11 5.08055e10i −0.0663965 0.0204806i
\(569\) 3.32076e11 + 4.43125e12i 0.132811 + 1.77223i 0.523803 + 0.851840i \(0.324513\pi\)
−0.390992 + 0.920394i \(0.627868\pi\)
\(570\) −6.28865e11 2.75524e12i −0.249529 1.09326i
\(571\) −6.03729e11 + 1.53828e12i −0.237673 + 0.605581i −0.999089 0.0426831i \(-0.986409\pi\)
0.761416 + 0.648264i \(0.224505\pi\)
\(572\) 3.62607e10 4.83865e11i 0.0141629 0.188991i
\(573\) 1.48754e12 2.24211e11i 0.576465 0.0868881i
\(574\) 5.40191e9 + 5.01224e9i 0.00207704 + 0.00192721i
\(575\) −8.66413e11 4.17243e11i −0.330537 0.159178i
\(576\) −7.81829e10 + 5.33042e10i −0.0295945 + 0.0201772i
\(577\) −1.63527e12 4.16660e12i −0.614184 1.56492i −0.811360 0.584547i \(-0.801272\pi\)
0.197175 0.980368i \(-0.436823\pi\)
\(578\) −2.73402e12 + 8.43334e11i −1.01889 + 0.314286i
\(579\) 1.22535e12 1.13696e12i 0.453112 0.420427i
\(580\) −4.11803e11 + 5.16385e11i −0.151100 + 0.189473i
\(581\) 1.30606e11 1.63775e11i 0.0475524 0.0596288i
\(582\) 4.68863e12 4.35041e12i 1.69392 1.57173i
\(583\) 7.57630e11 2.33698e11i 0.271612 0.0837811i
\(584\) −9.62896e10 2.45342e11i −0.0342548 0.0872799i
\(585\) 1.69533e11 1.15586e11i 0.0598485 0.0408040i
\(586\) 1.59624e12 + 7.68710e11i 0.559190 + 0.269292i
\(587\) 2.56328e12 + 2.37837e12i 0.891095 + 0.826816i 0.985667 0.168702i \(-0.0539577\pi\)
−0.0945716 + 0.995518i \(0.530148\pi\)
\(588\) −1.91169e12 + 2.88141e11i −0.659506 + 0.0994046i
\(589\) 1.31838e11 1.75926e12i 0.0451359 0.602297i
\(590\) −1.25585e12 + 3.19987e12i −0.426683 + 1.08717i
\(591\) −4.59180e11 2.01180e12i −0.154824 0.678330i
\(592\) −3.41335e11 4.55480e12i −0.114218 1.52413i
\(593\) 4.18721e12 + 1.29158e12i 1.39052 + 0.428920i 0.897469 0.441078i \(-0.145404\pi\)
0.493056 + 0.869998i \(0.335880\pi\)
\(594\) 1.91687e12 9.23118e11i 0.631763 0.304241i
\(595\) −2.78375e11 + 4.82160e11i −0.0910550 + 0.157712i
\(596\) 6.50402e11 + 1.12653e12i 0.211142 + 0.365708i
\(597\) 3.80762e12 + 2.59599e12i 1.22679 + 0.836409i
\(598\) −3.18842e11 + 1.39694e12i −0.101958 + 0.446706i
\(599\) −1.70869e12 2.57543e11i −0.542303 0.0817390i −0.127822 0.991797i \(-0.540799\pi\)
−0.414481 + 0.910058i \(0.636037\pi\)
\(600\) 5.03540e11 + 6.31419e11i 0.158618 + 0.198901i
\(601\) 1.91211e12 0.597830 0.298915 0.954280i \(-0.403375\pi\)
0.298915 + 0.954280i \(0.403375\pi\)
\(602\) 7.67650e11 + 7.49088e10i 0.238220 + 0.0232460i
\(603\) 1.52537e11 0.0469838
\(604\) 6.71265e11 + 8.41740e11i 0.205224 + 0.257342i
\(605\) 1.39731e12 + 2.10610e11i 0.424027 + 0.0639117i
\(606\) −1.27637e12 + 5.59216e12i −0.384460 + 1.68443i
\(607\) −1.07311e12 7.31634e11i −0.320845 0.218748i 0.392178 0.919890i \(-0.371722\pi\)
−0.713022 + 0.701141i \(0.752674\pi\)
\(608\) −2.06325e12 3.57366e12i −0.612331 1.06059i
\(609\) −1.88856e11 + 3.27108e11i −0.0556357 + 0.0963638i
\(610\) −8.47266e10 + 4.08022e10i −0.0247762 + 0.0119316i
\(611\) 4.46799e11 + 1.37819e11i 0.129696 + 0.0400059i
\(612\) 4.68204e10 + 6.24775e11i 0.0134913 + 0.180029i
\(613\) −3.21130e11 1.40696e12i −0.0918562 0.402448i 0.908008 0.418954i \(-0.137603\pi\)
−0.999864 + 0.0165055i \(0.994746\pi\)
\(614\) −2.94998e12 + 7.51642e12i −0.837647 + 2.13429i
\(615\) −2.47572e9 + 3.30362e10i −0.000697853 + 0.00931220i
\(616\) −1.99441e11 + 3.00609e10i −0.0558087 + 0.00841181i
\(617\) −3.37074e12 3.12759e12i −0.936357 0.868813i 0.0552007 0.998475i \(-0.482420\pi\)
−0.991558 + 0.129663i \(0.958611\pi\)
\(618\) −2.12287e12 1.02232e12i −0.585430 0.281928i
\(619\) 2.50801e12 1.70993e12i 0.686627 0.468134i −0.169075 0.985603i \(-0.554078\pi\)
0.855702 + 0.517469i \(0.173126\pi\)
\(620\) 3.27803e11 + 8.35228e11i 0.0890943 + 0.227009i
\(621\) −2.31558e12 + 7.14261e11i −0.624809 + 0.192728i
\(622\) 1.06300e12 9.86322e11i 0.284759 0.264218i
\(623\) −1.65209e11 + 2.07165e11i −0.0439377 + 0.0550961i
\(624\) 1.52790e12 1.91593e12i 0.403427 0.505881i
\(625\) 7.73228e11 7.17451e11i 0.202697 0.188075i
\(626\) 5.70959e12 1.76117e12i 1.48601 0.458372i
\(627\) −1.09895e12 2.80009e12i −0.283972 0.723549i
\(628\) −2.53668e12 + 1.72948e12i −0.650799 + 0.443707i
\(629\) −5.93724e12 2.85922e12i −1.51236 0.728316i
\(630\) 1.05487e11 + 9.78778e10i 0.0266789 + 0.0247544i
\(631\) −7.55822e12 + 1.13922e12i −1.89796 + 0.286072i −0.990866 0.134853i \(-0.956944\pi\)
−0.907095 + 0.420925i \(0.861706\pi\)
\(632\) −1.46569e10 + 1.95583e11i −0.00365440 + 0.0487646i
\(633\) −8.29148e11 + 2.11264e12i −0.205265 + 0.523007i
\(634\) −1.03043e11 4.51461e11i −0.0253290 0.110973i
\(635\) 2.55826e11 + 3.41376e12i 0.0624399 + 0.833203i
\(636\) −1.22270e12 3.77154e11i −0.296322 0.0914033i
\(637\) 1.72080e12 8.28692e11i 0.414097 0.199419i
\(638\) −9.11334e11 + 1.57848e12i −0.217763 + 0.377177i
\(639\) 6.54464e10 + 1.13356e11i 0.0155286 + 0.0268963i
\(640\) −2.22074e12 1.51407e12i −0.523224 0.356728i
\(641\) −3.01700e11 + 1.32183e12i −0.0705852 + 0.309254i −0.997880 0.0650774i \(-0.979271\pi\)
0.927295 + 0.374331i \(0.122128\pi\)
\(642\) 4.93583e12 + 7.43956e11i 1.14671 + 0.172838i
\(643\) −2.19351e12 2.75058e12i −0.506047 0.634563i 0.461534 0.887122i \(-0.347299\pi\)
−0.967581 + 0.252559i \(0.918728\pi\)
\(644\) −3.87586e11 −0.0887936
\(645\) 1.88843e12 + 2.90814e12i 0.429617 + 0.661602i
\(646\) −8.52514e12 −1.92600
\(647\) −4.35090e12 5.45585e12i −0.976134 1.22403i −0.974581 0.224035i \(-0.928077\pi\)
−0.00155300 0.999999i \(-0.500494\pi\)
\(648\) 2.45957e12 + 3.70721e11i 0.547990 + 0.0825962i
\(649\) −8.14154e11 + 3.56704e12i −0.180138 + 0.789236i
\(650\) 1.11224e12 + 7.58312e11i 0.244393 + 0.166624i
\(651\) 2.56558e11 + 4.44371e11i 0.0559849 + 0.0969687i
\(652\) 2.24178e11 3.88288e11i 0.0485824 0.0841472i
\(653\) −2.64658e12 + 1.27452e12i −0.569607 + 0.274308i −0.696439 0.717616i \(-0.745233\pi\)
0.126832 + 0.991924i \(0.459519\pi\)
\(654\) 5.54703e12 + 1.71103e12i 1.18566 + 0.365728i
\(655\) 5.91364e10 + 7.89120e11i 0.0125536 + 0.167516i
\(656\) 1.54136e10 + 6.75312e10i 0.00324964 + 0.0142376i
\(657\) −7.31217e10 + 1.86311e11i −0.0153109 + 0.0390116i
\(658\) −2.45053e10 + 3.27001e11i −0.00509617 + 0.0680036i
\(659\) 1.59763e12 2.40805e11i 0.329984 0.0497371i 0.0180391 0.999837i \(-0.494258\pi\)
0.311945 + 0.950100i \(0.399020\pi\)
\(660\) 1.12146e12 + 1.04056e12i 0.230058 + 0.213462i
\(661\) −5.63510e12 2.71372e12i −1.14814 0.552915i −0.239666 0.970856i \(-0.577038\pi\)
−0.908474 + 0.417940i \(0.862752\pi\)
\(662\) 6.91939e11 4.71756e11i 0.140025 0.0954677i
\(663\) −1.29168e12 3.29114e12i −0.259623 0.661509i
\(664\) 9.23945e11 2.84999e11i 0.184455 0.0568968i
\(665\) −5.53617e11 + 5.13681e11i −0.109777 + 0.101858i
\(666\) −1.06196e12 + 1.33166e12i −0.209158 + 0.262276i
\(667\) 1.29434e12 1.62305e12i 0.253211 0.317516i
\(668\) 1.63210e12 1.51437e12i 0.317141 0.294264i
\(669\) 4.24347e12 1.30894e12i 0.819036 0.252639i
\(670\) −3.85661e11 9.82647e11i −0.0739382 0.188391i
\(671\) −8.27008e10 + 5.63845e10i −0.0157492 + 0.0107376i
\(672\) 1.08134e12 + 5.20746e11i 0.204550 + 0.0985063i
\(673\) 7.54462e12 + 7.00039e12i 1.41765 + 1.31539i 0.882241 + 0.470797i \(0.156034\pi\)
0.535411 + 0.844592i \(0.320157\pi\)
\(674\) 1.33771e13 2.01627e12i 2.49685 0.376339i
\(675\) −1.70129e11 + 2.27022e12i −0.0315436 + 0.420921i
\(676\) −9.62807e11 + 2.45319e12i −0.177329 + 0.451826i
\(677\) 1.86364e12 + 8.16516e12i 0.340968 + 1.49388i 0.797034 + 0.603934i \(0.206401\pi\)
−0.456066 + 0.889946i \(0.650742\pi\)
\(678\) 1.81675e11 + 2.42428e12i 0.0330187 + 0.440604i
\(679\) −1.63329e12 5.03803e11i −0.294883 0.0909592i
\(680\) −2.31535e12 + 1.11502e12i −0.415267 + 0.199982i
\(681\) −4.97112e12 + 8.61024e12i −0.885712 + 1.53410i
\(682\) 1.23803e12 + 2.14433e12i 0.219130 + 0.379544i
\(683\) 5.03069e12 + 3.42986e12i 0.884574 + 0.603092i 0.918101 0.396346i \(-0.129722\pi\)
−0.0335276 + 0.999438i \(0.510674\pi\)
\(684\) −1.89114e11 + 8.28564e11i −0.0330348 + 0.144735i
\(685\) 3.09537e12 + 4.66552e11i 0.537162 + 0.0809641i
\(686\) 1.70077e12 + 2.13269e12i 0.293215 + 0.367680i
\(687\) 1.18014e13 2.02128
\(688\) 5.56529e12 + 4.64656e12i 0.946979 + 0.790649i
\(689\) 1.26410e12 0.213696
\(690\) −2.81672e12 3.53205e12i −0.473067 0.593207i
\(691\) 1.11481e13 + 1.68030e12i 1.86015 + 0.280373i 0.980686 0.195587i \(-0.0626613\pi\)
0.879467 + 0.475960i \(0.157899\pi\)
\(692\) 5.97973e11 2.61989e12i 0.0991298 0.434316i
\(693\) 1.26551e11 + 8.62809e10i 0.0208433 + 0.0142107i
\(694\) −5.14834e12 8.91719e12i −0.842461 1.45918i
\(695\) −3.74560e12 + 6.48757e12i −0.608961 + 1.05475i
\(696\) −1.57079e12 + 7.56452e11i −0.253733 + 0.122191i
\(697\) 9.54961e10 + 2.94566e10i 0.0153263 + 0.00472754i
\(698\) 1.03601e11 + 1.38246e12i 0.0165202 + 0.220446i
\(699\) −1.49896e12 6.56739e12i −0.237489 1.04051i
\(700\) −1.33031e11 + 3.38959e11i −0.0209418 + 0.0533587i
\(701\) −5.27531e11 + 7.03941e12i −0.0825119 + 1.10105i 0.790213 + 0.612833i \(0.209970\pi\)
−0.872725 + 0.488213i \(0.837649\pi\)
\(702\) 3.35424e12 5.05571e11i 0.521288 0.0785715i
\(703\) −6.55275e12 6.08006e12i −1.01187 0.938878i
\(704\) 6.27974e11 + 3.02416e11i 0.0963529 + 0.0464011i
\(705\) −1.21805e12 + 8.30449e11i −0.185700 + 0.126608i
\(706\) −5.73665e12 1.46167e13i −0.869035 2.21426i
\(707\) 1.46474e12 4.51811e11i 0.220481 0.0680095i
\(708\) 4.32847e12 4.01623e12i 0.647418 0.600716i
\(709\) −2.77801e12 + 3.48352e12i −0.412882 + 0.517738i −0.944172 0.329452i \(-0.893136\pi\)
0.531290 + 0.847190i \(0.321707\pi\)
\(710\) 5.64775e11 7.08206e11i 0.0834091 0.104592i
\(711\) 1.09181e11 1.01306e11i 0.0160227 0.0148669i
\(712\) −1.16873e12 + 3.60506e11i −0.170433 + 0.0525717i
\(713\) −1.03032e12 2.62521e12i −0.149303 0.380418i
\(714\) 2.04869e12 1.39678e12i 0.295009 0.201134i
\(715\) −1.36171e12 6.55764e11i −0.194853 0.0938363i
\(716\) −2.16828e12 2.01187e12i −0.308324 0.286082i
\(717\) −1.28299e13 + 1.93379e12i −1.81295 + 0.273259i
\(718\) −3.95902e11 + 5.28294e12i −0.0555940 + 0.741850i
\(719\) −1.73612e12 + 4.42357e12i −0.242270 + 0.617295i −0.999351 0.0360267i \(-0.988530\pi\)
0.757080 + 0.653322i \(0.226625\pi\)
\(720\) 3.00992e11 + 1.31873e12i 0.0417406 + 0.182878i
\(721\) 4.70540e10 + 6.27893e11i 0.00648468 + 0.0865320i
\(722\) −2.14839e12 6.62690e11i −0.294236 0.0907598i
\(723\) −1.21134e13 + 5.83349e12i −1.64870 + 0.793974i
\(724\) 3.26017e12 5.64678e12i 0.440978 0.763796i
\(725\) −9.75162e11 1.68903e12i −0.131086 0.227047i
\(726\) −5.19981e12 3.54517e12i −0.694660 0.473611i
\(727\) 2.66738e12 1.16866e13i 0.354144 1.55161i −0.413363 0.910566i \(-0.635646\pi\)
0.767507 0.641040i \(-0.221497\pi\)
\(728\) −3.17983e11 4.79282e10i −0.0419578 0.00632412i
\(729\) 3.36265e12 + 4.21663e12i 0.440969 + 0.552957i
\(730\) 1.38509e12 0.180520
\(731\) 9.82032e12 3.60168e12i 1.27203 0.466527i
\(732\) 1.61536e11 0.0207955
\(733\) −2.09524e12 2.62735e12i −0.268081 0.336163i 0.629510 0.776993i \(-0.283256\pi\)
−0.897591 + 0.440829i \(0.854684\pi\)
\(734\) −1.15547e13 1.74160e12i −1.46936 0.221470i
\(735\) −1.33999e12 + 5.87086e12i −0.169359 + 0.742008i
\(736\) −5.45024e12 3.71591e12i −0.684645 0.466783i
\(737\) −5.61787e11 9.73043e11i −0.0701403 0.121487i
\(738\) 1.29151e10 2.23695e10i 0.00160267 0.00277590i
\(739\) 7.93878e12 3.82311e12i 0.979160 0.471539i 0.125344 0.992113i \(-0.459997\pi\)
0.853816 + 0.520575i \(0.174282\pi\)
\(740\) 4.34432e12 + 1.34004e12i 0.532572 + 0.164277i
\(741\) −3.58398e11 4.78248e12i −0.0436700 0.582736i
\(742\) 1.97274e11 + 8.64312e11i 0.0238919 + 0.104677i
\(743\) 2.74087e12 6.98362e12i 0.329943 0.840680i −0.665595 0.746313i \(-0.731822\pi\)
0.995537 0.0943670i \(-0.0300827\pi\)
\(744\) −1.76994e11 + 2.36182e12i −0.0211777 + 0.282597i
\(745\) 4.00653e12 6.03887e11i 0.476502 0.0718211i
\(746\) −1.28394e13 1.19132e13i −1.51782 1.40833i
\(747\) −6.61544e11 3.18583e11i −0.0777349 0.0374351i
\(748\) 3.81303e12 2.59968e12i 0.445362 0.303643i
\(749\) −4.87332e11 1.24170e12i −0.0565791 0.144161i