Properties

Label 43.10.g.a.9.11
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 9.11
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-10.1893 - 12.7770i) q^{2} +(228.731 + 34.4757i) q^{3} +(54.5013 - 238.786i) q^{4} +(-780.841 - 532.368i) q^{5} +(-1890.12 - 3273.78i) q^{6} +(-4940.14 + 8556.57i) q^{7} +(-11145.0 + 5367.13i) q^{8} +(32320.8 + 9969.64i) q^{9} +O(q^{10})\) \(q+(-10.1893 - 12.7770i) q^{2} +(228.731 + 34.4757i) q^{3} +(54.5013 - 238.786i) q^{4} +(-780.841 - 532.368i) q^{5} +(-1890.12 - 3273.78i) q^{6} +(-4940.14 + 8556.57i) q^{7} +(-11145.0 + 5367.13i) q^{8} +(32320.8 + 9969.64i) q^{9} +(1154.17 + 15401.3i) q^{10} +(16662.9 + 73004.9i) q^{11} +(20698.4 - 52738.7i) q^{12} +(-6851.27 + 91423.9i) q^{13} +(159664. - 24065.4i) q^{14} +(-160249. - 148689. i) q^{15} +(69151.8 + 33301.8i) q^{16} +(-405558. + 276505. i) q^{17} +(-201944. - 514546. i) q^{18} +(262999. - 81124.5i) q^{19} +(-169679. + 157439. i) q^{20} +(-1.42496e6 + 1.78684e6i) q^{21} +(763000. - 956772. i) q^{22} +(1.50124e6 - 1.39295e6i) q^{23} +(-2.73424e6 + 843400. i) q^{24} +(-387260. - 986723. i) q^{25} +(1.23793e6 - 844008. i) q^{26} +(2.94697e6 + 1.41919e6i) q^{27} +(1.77394e6 + 1.64598e6i) q^{28} +(2.67409e6 - 403055. i) q^{29} +(-266975. + 3.56254e6i) q^{30} +(-1.45604e6 + 3.70992e6i) q^{31} +(1.13021e6 + 4.95177e6i) q^{32} +(1.29443e6 + 1.72730e7i) q^{33} +(7.66525e6 + 2.36442e6i) q^{34} +(8.41270e6 - 4.05135e6i) q^{35} +(4.14213e6 - 7.17438e6i) q^{36} +(-608331. - 1.05366e6i) q^{37} +(-3.71631e6 - 2.53374e6i) q^{38} +(-4.71900e6 + 2.06753e7i) q^{39} +(1.15597e7 + 1.74235e6i) q^{40} +(-3.86092e6 - 4.84144e6i) q^{41} +3.73497e7 q^{42} +(-2.04186e7 - 9.25601e6i) q^{43} +1.83407e7 q^{44} +(-1.99299e7 - 2.49913e7i) q^{45} +(-3.30943e7 - 4.98816e6i) q^{46} +(-1.29030e7 + 5.65317e7i) q^{47} +(1.46691e7 + 1.00012e7i) q^{48} +(-2.86331e7 - 4.95939e7i) q^{49} +(-8.66144e6 + 1.50020e7i) q^{50} +(-1.02296e8 + 4.92633e7i) q^{51} +(2.14573e7 + 6.61870e6i) q^{52} +(-1.33525e6 - 1.78176e7i) q^{53} +(-1.18947e7 - 5.21140e7i) q^{54} +(2.58544e7 - 6.58760e7i) q^{55} +(9.13342e6 - 1.21877e8i) q^{56} +(6.29529e7 - 9.48862e6i) q^{57} +(-3.23970e7 - 3.00600e7i) q^{58} +(7.03658e7 + 3.38864e7i) q^{59} +(-4.42386e7 + 3.01614e7i) q^{60} +(5.63620e7 + 1.43608e8i) q^{61} +(6.22376e7 - 1.91978e7i) q^{62} +(-2.44975e8 + 2.27303e8i) q^{63} +(7.62541e7 - 9.56197e7i) q^{64} +(5.40209e7 - 6.77401e7i) q^{65} +(2.07507e8 - 1.92538e8i) q^{66} +(-1.96166e8 + 6.05092e7i) q^{67} +(4.39219e7 + 1.11911e8i) q^{68} +(3.91403e8 - 2.66854e8i) q^{69} +(-1.37484e8 - 6.62086e7i) q^{70} +(-3.74072e7 - 3.47088e7i) q^{71} +(-4.13722e8 + 6.23586e7i) q^{72} +(-2.22106e7 + 2.96380e8i) q^{73} +(-7.26414e6 + 1.85087e7i) q^{74} +(-5.45605e7 - 2.39045e8i) q^{75} +(-5.03758e6 - 6.72218e7i) q^{76} +(-7.06988e8 - 2.18077e8i) q^{77} +(3.12251e8 - 1.50372e8i) q^{78} +(2.43336e8 - 4.21471e8i) q^{79} +(-3.62678e7 - 6.28176e7i) q^{80} +(7.50708e7 + 5.11824e7i) q^{81} +(-2.25189e7 + 9.86620e7i) q^{82} +(-1.30177e7 - 1.96210e6i) q^{83} +(3.49009e8 + 4.37644e8i) q^{84} +4.63878e8 q^{85} +(8.97874e7 + 3.55201e8i) q^{86} +6.25544e8 q^{87} +(-5.77535e8 - 7.24206e8i) q^{88} +(-4.87970e8 - 7.35496e7i) q^{89} +(-1.16242e8 + 5.09287e8i) q^{90} +(-7.48429e8 - 5.10270e8i) q^{91} +(-2.50796e8 - 4.34392e8i) q^{92} +(-4.60942e8 + 7.98376e8i) q^{93} +(8.53778e8 - 4.11158e8i) q^{94} +(-2.48549e8 - 7.66671e7i) q^{95} +(8.77983e7 + 1.17159e9i) q^{96} +(-7.51982e7 - 3.29465e8i) q^{97} +(-3.41910e8 + 8.71173e8i) q^{98} +(-1.89275e8 + 2.52570e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −10.1893 12.7770i −0.450308 0.564669i 0.503919 0.863751i \(-0.331891\pi\)
−0.954227 + 0.299082i \(0.903320\pi\)
\(3\) 228.731 + 34.4757i 1.63034 + 0.245735i 0.899536 0.436847i \(-0.143905\pi\)
0.730809 + 0.682582i \(0.239143\pi\)
\(4\) 54.5013 238.786i 0.106448 0.466378i
\(5\) −780.841 532.368i −0.558724 0.380932i 0.250781 0.968044i \(-0.419312\pi\)
−0.809506 + 0.587112i \(0.800265\pi\)
\(6\) −1890.12 3273.78i −0.595399 1.03126i
\(7\) −4940.14 + 8556.57i −0.777674 + 1.34697i 0.155605 + 0.987819i \(0.450267\pi\)
−0.933279 + 0.359152i \(0.883066\pi\)
\(8\) −11145.0 + 5367.13i −0.961998 + 0.463274i
\(9\) 32320.8 + 9969.64i 1.64207 + 0.506510i
\(10\) 1154.17 + 15401.3i 0.0364979 + 0.487031i
\(11\) 16662.9 + 73004.9i 0.343150 + 1.50344i 0.792384 + 0.610023i \(0.208840\pi\)
−0.449235 + 0.893414i \(0.648303\pi\)
\(12\) 20698.4 52738.7i 0.288152 0.734199i
\(13\) −6851.27 + 91423.9i −0.0665313 + 0.887799i 0.859689 + 0.510817i \(0.170657\pi\)
−0.926221 + 0.376982i \(0.876962\pi\)
\(14\) 159664. 24065.4i 1.11079 0.167424i
\(15\) −160249. 148689.i −0.817305 0.758348i
\(16\) 69151.8 + 33301.8i 0.263793 + 0.127036i
\(17\) −405558. + 276505.i −1.17769 + 0.802938i −0.984008 0.178125i \(-0.942997\pi\)
−0.193686 + 0.981064i \(0.562044\pi\)
\(18\) −201944. 514546.i −0.453425 1.15531i
\(19\) 262999. 81124.5i 0.462981 0.142811i −0.0544848 0.998515i \(-0.517352\pi\)
0.517466 + 0.855704i \(0.326875\pi\)
\(20\) −169679. + 157439.i −0.237133 + 0.220027i
\(21\) −1.42496e6 + 1.78684e6i −1.59887 + 2.00493i
\(22\) 763000. 956772.i 0.694420 0.870775i
\(23\) 1.50124e6 1.39295e6i 1.11860 1.03791i 0.119616 0.992820i \(-0.461834\pi\)
0.998983 0.0450884i \(-0.0143569\pi\)
\(24\) −2.73424e6 + 843400.i −1.68223 + 0.518899i
\(25\) −387260. 986723.i −0.198277 0.505202i
\(26\) 1.23793e6 844008.i 0.531272 0.362215i
\(27\) 2.94697e6 + 1.41919e6i 1.06718 + 0.513929i
\(28\) 1.77394e6 + 1.64598e6i 0.545416 + 0.506072i
\(29\) 2.67409e6 403055.i 0.702078 0.105821i 0.211705 0.977334i \(-0.432098\pi\)
0.490373 + 0.871512i \(0.336860\pi\)
\(30\) −266975. + 3.56254e6i −0.0601763 + 0.802997i
\(31\) −1.45604e6 + 3.70992e6i −0.283168 + 0.721501i 0.716545 + 0.697541i \(0.245723\pi\)
−0.999713 + 0.0239595i \(0.992373\pi\)
\(32\) 1.13021e6 + 4.95177e6i 0.190539 + 0.834805i
\(33\) 1.29443e6 + 1.72730e7i 0.190005 + 2.53544i
\(34\) 7.66525e6 + 2.36442e6i 0.983719 + 0.303437i
\(35\) 8.41270e6 4.05135e6i 0.947610 0.456345i
\(36\) 4.14213e6 7.17438e6i 0.411019 0.711906i
\(37\) −608331. 1.05366e6i −0.0533621 0.0924258i 0.838110 0.545501i \(-0.183660\pi\)
−0.891473 + 0.453075i \(0.850327\pi\)
\(38\) −3.71631e6 2.53374e6i −0.289125 0.197122i
\(39\) −4.71900e6 + 2.06753e7i −0.326632 + 1.43107i
\(40\) 1.15597e7 + 1.74235e6i 0.713967 + 0.107613i
\(41\) −3.86092e6 4.84144e6i −0.213385 0.267576i 0.663607 0.748081i \(-0.269025\pi\)
−0.876992 + 0.480505i \(0.840453\pi\)
\(42\) 3.73497e7 1.85211
\(43\) −2.04186e7 9.25601e6i −0.910789 0.412872i
\(44\) 1.83407e7 0.737697
\(45\) −1.99299e7 2.49913e7i −0.724516 0.908514i
\(46\) −3.30943e7 4.98816e6i −1.08979 0.164259i
\(47\) −1.29030e7 + 5.65317e7i −0.385701 + 1.68987i 0.293538 + 0.955947i \(0.405167\pi\)
−0.679238 + 0.733918i \(0.737690\pi\)
\(48\) 1.46691e7 + 1.00012e7i 0.398857 + 0.271936i
\(49\) −2.86331e7 4.95939e7i −0.709554 1.22898i
\(50\) −8.66144e6 + 1.50020e7i −0.195986 + 0.339458i
\(51\) −1.02296e8 + 4.92633e7i −2.11736 + 1.01967i
\(52\) 2.14573e7 + 6.61870e6i 0.406968 + 0.125533i
\(53\) −1.33525e6 1.78176e7i −0.0232445 0.310176i −0.996692 0.0812672i \(-0.974103\pi\)
0.973448 0.228909i \(-0.0735158\pi\)
\(54\) −1.18947e7 5.21140e7i −0.190362 0.834032i
\(55\) 2.58544e7 6.58760e7i 0.380981 0.970723i
\(56\) 9.13342e6 1.21877e8i 0.124104 1.65606i
\(57\) 6.29529e7 9.48862e6i 0.789912 0.119060i
\(58\) −3.23970e7 3.00600e7i −0.375906 0.348789i
\(59\) 7.03658e7 + 3.38864e7i 0.756010 + 0.364075i 0.771854 0.635799i \(-0.219329\pi\)
−0.0158445 + 0.999874i \(0.505044\pi\)
\(60\) −4.42386e7 + 3.01614e7i −0.440677 + 0.300449i
\(61\) 5.63620e7 + 1.43608e8i 0.521197 + 1.32799i 0.913008 + 0.407942i \(0.133754\pi\)
−0.391811 + 0.920046i \(0.628151\pi\)
\(62\) 6.22376e7 1.91978e7i 0.534922 0.165001i
\(63\) −2.44975e8 + 2.27303e8i −1.95925 + 1.81791i
\(64\) 7.62541e7 9.56197e7i 0.568138 0.712422i
\(65\) 5.40209e7 6.77401e7i 0.375364 0.470691i
\(66\) 2.07507e8 1.92538e8i 1.34612 1.24902i
\(67\) −1.96166e8 + 6.05092e7i −1.18929 + 0.366847i −0.825375 0.564585i \(-0.809036\pi\)
−0.363914 + 0.931432i \(0.618560\pi\)
\(68\) 4.39219e7 + 1.11911e8i 0.249110 + 0.634722i
\(69\) 3.91403e8 2.66854e8i 2.07875 1.41727i
\(70\) −1.37484e8 6.62086e7i −0.684400 0.329590i
\(71\) −3.74072e7 3.47088e7i −0.174700 0.162098i 0.587977 0.808878i \(-0.299925\pi\)
−0.762677 + 0.646780i \(0.776115\pi\)
\(72\) −4.13722e8 + 6.23586e7i −1.81432 + 0.273464i
\(73\) −2.22106e7 + 2.96380e8i −0.0915392 + 1.22151i 0.742517 + 0.669827i \(0.233632\pi\)
−0.834057 + 0.551679i \(0.813987\pi\)
\(74\) −7.26414e6 + 1.85087e7i −0.0281606 + 0.0717520i
\(75\) −5.45605e7 2.39045e8i −0.199114 0.872377i
\(76\) −5.03758e6 6.72218e7i −0.0173205 0.231126i
\(77\) −7.06988e8 2.18077e8i −2.29194 0.706971i
\(78\) 3.12251e8 1.50372e8i 0.955165 0.459983i
\(79\) 2.43336e8 4.21471e8i 0.702886 1.21743i −0.264564 0.964368i \(-0.585228\pi\)
0.967449 0.253065i \(-0.0814388\pi\)
\(80\) −3.62678e7 6.28176e7i −0.0989956 0.171465i
\(81\) 7.50708e7 + 5.11824e7i 0.193771 + 0.132111i
\(82\) −2.25189e7 + 9.86620e7i −0.0550029 + 0.240984i
\(83\) −1.30177e7 1.96210e6i −0.0301080 0.00453806i 0.133971 0.990985i \(-0.457227\pi\)
−0.164079 + 0.986447i \(0.552465\pi\)
\(84\) 3.49009e8 + 4.37644e8i 0.764857 + 0.959100i
\(85\) 4.63878e8 0.963871
\(86\) 8.97874e7 + 3.55201e8i 0.177000 + 0.700214i
\(87\) 6.25544e8 1.17063
\(88\) −5.77535e8 7.24206e8i −1.02661 1.28733i
\(89\) −4.87970e8 7.35496e7i −0.824400 0.124258i −0.276725 0.960949i \(-0.589249\pi\)
−0.547675 + 0.836691i \(0.684487\pi\)
\(90\) −1.16242e8 + 5.09287e8i −0.186754 + 0.818223i
\(91\) −7.48429e8 5.10270e8i −1.14410 0.780034i
\(92\) −2.50796e8 4.34392e8i −0.364985 0.632173i
\(93\) −4.60942e8 + 7.98376e8i −0.638960 + 1.10671i
\(94\) 8.53778e8 4.11158e8i 1.12790 0.543167i
\(95\) −2.48549e8 7.66671e7i −0.313080 0.0965723i
\(96\) 8.77983e7 + 1.17159e9i 0.105503 + 1.40784i
\(97\) −7.51982e7 3.29465e8i −0.0862451 0.377865i 0.913323 0.407235i \(-0.133507\pi\)
−0.999569 + 0.0293703i \(0.990650\pi\)
\(98\) −3.41910e8 + 8.71173e8i −0.374451 + 0.954085i
\(99\) −1.89275e8 + 2.52570e9i −0.198032 + 2.64255i
\(100\) −2.56721e8 + 3.86945e7i −0.256721 + 0.0386945i
\(101\) 1.31419e9 + 1.21939e9i 1.25664 + 1.16599i 0.978678 + 0.205401i \(0.0658499\pi\)
0.277964 + 0.960592i \(0.410341\pi\)
\(102\) 1.67177e9 + 8.05080e8i 1.52924 + 0.736441i
\(103\) 6.23440e8 4.25054e8i 0.545792 0.372114i −0.258811 0.965928i \(-0.583331\pi\)
0.804603 + 0.593813i \(0.202378\pi\)
\(104\) −4.14327e8 1.05569e9i −0.347291 0.884883i
\(105\) 2.06392e9 6.36635e8i 1.65707 0.511138i
\(106\) −2.14050e8 + 1.98610e8i −0.164679 + 0.152800i
\(107\) −4.39390e7 + 5.50977e7i −0.0324058 + 0.0406356i −0.797770 0.602961i \(-0.793987\pi\)
0.765365 + 0.643597i \(0.222559\pi\)
\(108\) 4.99495e8 6.26347e8i 0.353284 0.443005i
\(109\) 2.25340e8 2.09085e8i 0.152904 0.141874i −0.600011 0.799991i \(-0.704837\pi\)
0.752916 + 0.658117i \(0.228647\pi\)
\(110\) −1.10514e9 + 3.40889e8i −0.719696 + 0.221997i
\(111\) −1.02819e8 2.61978e8i −0.0642863 0.163799i
\(112\) −6.26568e8 + 4.27187e8i −0.376259 + 0.256529i
\(113\) 7.89482e8 + 3.80195e8i 0.455501 + 0.219358i 0.647543 0.762029i \(-0.275797\pi\)
−0.192042 + 0.981387i \(0.561511\pi\)
\(114\) −7.62683e8 7.07666e8i −0.422933 0.392425i
\(115\) −1.91379e9 + 2.88457e8i −1.02036 + 0.153795i
\(116\) 4.94978e7 6.60502e8i 0.0253819 0.338698i
\(117\) −1.13290e9 + 2.88659e9i −0.558928 + 1.42413i
\(118\) −2.84013e8 1.24434e9i −0.134856 0.590841i
\(119\) −3.62419e8 4.83615e9i −0.165672 2.21074i
\(120\) 2.58400e9 + 7.97059e8i 1.13757 + 0.350893i
\(121\) −2.92763e9 + 1.40987e9i −1.24160 + 0.597923i
\(122\) 1.26059e9 2.18340e9i 0.515174 0.892307i
\(123\) −7.16201e8 1.24050e9i −0.282138 0.488678i
\(124\) 8.06519e8 + 5.49875e8i 0.306349 + 0.208866i
\(125\) −6.33643e8 + 2.77617e9i −0.232140 + 1.01707i
\(126\) 5.40038e9 + 8.13976e8i 1.90878 + 0.287703i
\(127\) −1.72648e9 2.16493e9i −0.588903 0.738461i 0.394700 0.918810i \(-0.370849\pi\)
−0.983603 + 0.180349i \(0.942277\pi\)
\(128\) 6.01795e8 0.198154
\(129\) −4.35126e9 2.82108e9i −1.38344 0.896937i
\(130\) −1.41595e9 −0.434814
\(131\) 1.58409e9 + 1.98639e9i 0.469959 + 0.589310i 0.959161 0.282861i \(-0.0912835\pi\)
−0.489202 + 0.872170i \(0.662712\pi\)
\(132\) 4.19508e9 + 6.32307e8i 1.20270 + 0.181278i
\(133\) −6.05104e8 + 2.65114e9i −0.167686 + 0.734682i
\(134\) 2.77192e9 + 1.88987e9i 0.742694 + 0.506360i
\(135\) −1.54559e9 2.67703e9i −0.400490 0.693669i
\(136\) 3.03589e9 5.25832e9i 0.760959 1.31802i
\(137\) 5.23079e9 2.51902e9i 1.26860 0.610926i 0.326165 0.945313i \(-0.394244\pi\)
0.942436 + 0.334387i \(0.108529\pi\)
\(138\) −7.39771e9 2.28189e9i −1.73637 0.535598i
\(139\) 3.84750e7 + 5.13413e8i 0.00874203 + 0.116654i 0.999868 0.0162750i \(-0.00518073\pi\)
−0.991126 + 0.132929i \(0.957562\pi\)
\(140\) −5.08900e8 2.22964e9i −0.111958 0.490521i
\(141\) −4.90029e9 + 1.24857e10i −1.04408 + 2.66028i
\(142\) −6.23206e7 + 8.31611e8i −0.0128628 + 0.171642i
\(143\) −6.78856e9 + 1.02321e9i −1.35758 + 0.204622i
\(144\) 1.90303e9 + 1.76576e9i 0.368821 + 0.342216i
\(145\) −2.30261e9 1.10888e9i −0.432579 0.208319i
\(146\) 4.01315e9 2.73612e9i 0.730967 0.498365i
\(147\) −4.83949e9 1.23308e10i −0.854814 2.17803i
\(148\) −2.84754e8 + 8.78349e7i −0.0487856 + 0.0150484i
\(149\) 5.88279e9 5.45843e9i 0.977789 0.907256i −0.0179156 0.999840i \(-0.505703\pi\)
0.995705 + 0.0925836i \(0.0295125\pi\)
\(150\) −2.49834e9 + 3.13282e9i −0.402941 + 0.505272i
\(151\) 5.33779e9 6.69338e9i 0.835536 1.04773i −0.162600 0.986692i \(-0.551988\pi\)
0.998136 0.0610368i \(-0.0194407\pi\)
\(152\) −2.49571e9 + 2.31568e9i −0.379226 + 0.351870i
\(153\) −1.58646e10 + 4.89358e9i −2.34055 + 0.721963i
\(154\) 4.41736e9 + 1.12552e10i 0.632877 + 1.61254i
\(155\) 3.11197e9 2.12171e9i 0.433055 0.295252i
\(156\) 4.67977e9 + 2.25366e9i 0.632650 + 0.304668i
\(157\) −8.17416e9 7.58451e9i −1.07373 0.996275i −0.0737293 0.997278i \(-0.523490\pi\)
−0.999999 + 0.00100352i \(0.999681\pi\)
\(158\) −7.86455e9 + 1.18539e9i −1.00396 + 0.151323i
\(159\) 3.08862e8 4.12147e9i 0.0383246 0.511406i
\(160\) 1.75365e9 4.46823e9i 0.211545 0.539008i
\(161\) 4.50251e9 + 1.97268e10i 0.528127 + 2.31388i
\(162\) −1.10963e8 1.48069e9i −0.0126578 0.168907i
\(163\) −1.22214e10 3.76982e9i −1.35606 0.418288i −0.470329 0.882491i \(-0.655865\pi\)
−0.885729 + 0.464203i \(0.846341\pi\)
\(164\) −1.36649e9 + 6.58068e8i −0.147506 + 0.0710352i
\(165\) 8.18483e9 1.41765e10i 0.859670 1.48899i
\(166\) 1.07572e8 + 1.86319e8i 0.0109954 + 0.0190446i
\(167\) 3.59799e8 + 2.45307e8i 0.0357962 + 0.0244054i 0.581086 0.813842i \(-0.302628\pi\)
−0.545290 + 0.838248i \(0.683580\pi\)
\(168\) 6.29089e9 2.75622e10i 0.609285 2.66945i
\(169\) 2.17466e9 + 3.27778e8i 0.205070 + 0.0309093i
\(170\) −4.72660e9 5.92697e9i −0.434039 0.544268i
\(171\) 9.30912e9 0.832580
\(172\) −3.32304e9 + 4.37120e9i −0.289506 + 0.380823i
\(173\) 2.13267e10 1.81016 0.905080 0.425241i \(-0.139811\pi\)
0.905080 + 0.425241i \(0.139811\pi\)
\(174\) −6.37386e9 7.99257e9i −0.527146 0.661020i
\(175\) 1.03561e10 + 1.56093e9i 0.834688 + 0.125809i
\(176\) −1.27892e9 + 5.60333e9i −0.100470 + 0.440189i
\(177\) 1.49266e10 + 1.01768e10i 1.14309 + 0.779346i
\(178\) 4.03234e9 + 6.98421e9i 0.301069 + 0.521467i
\(179\) −1.24499e10 + 2.15638e10i −0.906412 + 1.56995i −0.0874017 + 0.996173i \(0.527856\pi\)
−0.819010 + 0.573779i \(0.805477\pi\)
\(180\) −7.05375e9 + 3.39691e9i −0.500834 + 0.241189i
\(181\) 7.51048e9 + 2.31668e9i 0.520133 + 0.160440i 0.543695 0.839283i \(-0.317025\pi\)
−0.0235627 + 0.999722i \(0.507501\pi\)
\(182\) 1.10626e9 + 1.47620e10i 0.0747368 + 0.997293i
\(183\) 7.94075e9 + 3.47907e10i 0.523398 + 2.29315i
\(184\) −9.25513e9 + 2.35817e10i −0.595254 + 1.51668i
\(185\) −8.59256e7 + 1.14660e9i −0.00539324 + 0.0719678i
\(186\) 1.48975e10 2.24544e9i 0.912653 0.137560i
\(187\) −2.69440e10 2.50003e10i −1.61129 1.49506i
\(188\) 1.27957e10 + 6.16210e9i 0.747059 + 0.359765i
\(189\) −2.67018e10 + 1.82050e10i −1.52217 + 1.03780i
\(190\) 1.55296e9 + 3.95689e9i 0.0864511 + 0.220274i
\(191\) 9.65936e9 2.97952e9i 0.525168 0.161993i −0.0208241 0.999783i \(-0.506629\pi\)
0.545992 + 0.837790i \(0.316153\pi\)
\(192\) 2.07382e10 1.92423e10i 1.10133 1.02188i
\(193\) −1.00559e9 + 1.26097e9i −0.0521692 + 0.0654181i −0.807232 0.590235i \(-0.799035\pi\)
0.755062 + 0.655653i \(0.227607\pi\)
\(194\) −3.44335e9 + 4.31783e9i −0.174531 + 0.218855i
\(195\) 1.46917e10 1.36319e10i 0.727637 0.675149i
\(196\) −1.34029e10 + 4.13423e9i −0.648702 + 0.200098i
\(197\) 1.84074e9 + 4.69013e9i 0.0870752 + 0.221864i 0.967778 0.251806i \(-0.0810244\pi\)
−0.880703 + 0.473670i \(0.842929\pi\)
\(198\) 3.41994e10 2.33168e10i 1.58134 1.07814i
\(199\) 5.47669e9 + 2.63743e9i 0.247559 + 0.119218i 0.553549 0.832817i \(-0.313273\pi\)
−0.305990 + 0.952035i \(0.598987\pi\)
\(200\) 9.61188e9 + 8.91852e9i 0.424789 + 0.394147i
\(201\) −4.69554e10 + 7.07739e9i −2.02910 + 0.305837i
\(202\) 2.18944e9 2.92161e10i 0.0925236 1.23464i
\(203\) −9.76162e9 + 2.48722e10i −0.403450 + 1.02797i
\(204\) 6.18809e9 + 2.71118e10i 0.250162 + 1.09603i
\(205\) 4.37335e8 + 5.83583e9i 0.0172951 + 0.230786i
\(206\) −1.17833e10 3.63468e9i −0.455896 0.140625i
\(207\) 6.24084e10 3.00543e10i 2.36252 1.13773i
\(208\) −3.51836e9 + 6.09397e9i −0.130333 + 0.225744i
\(209\) 1.03048e10 + 1.78485e10i 0.373579 + 0.647057i
\(210\) −2.91642e10 1.98838e10i −1.03482 0.705526i
\(211\) 3.98969e9 1.74800e10i 0.138570 0.607113i −0.857181 0.515016i \(-0.827786\pi\)
0.995750 0.0920968i \(-0.0293569\pi\)
\(212\) −4.32736e9 6.52245e8i −0.147134 0.0221768i
\(213\) −7.35958e9 9.22863e9i −0.244988 0.307205i
\(214\) 1.15169e9 0.0375383
\(215\) 1.10161e10 + 1.80977e10i 0.351604 + 0.577630i
\(216\) −4.04609e10 −1.26472
\(217\) −2.45511e10 3.07862e10i −0.751628 0.942512i
\(218\) −4.96753e9 7.48735e8i −0.148966 0.0224530i
\(219\) −1.52981e10 + 6.70255e10i −0.449407 + 1.96898i
\(220\) −1.43211e10 9.76399e9i −0.412169 0.281012i
\(221\) −2.25005e10 3.89721e10i −0.634494 1.09898i
\(222\) −2.29963e9 + 3.98308e9i −0.0635434 + 0.110060i
\(223\) 3.68832e10 1.77620e10i 0.998751 0.480973i 0.138236 0.990399i \(-0.455857\pi\)
0.860514 + 0.509426i \(0.170142\pi\)
\(224\) −4.79535e10 1.47917e10i −1.27264 0.392556i
\(225\) −2.67928e9 3.57525e10i −0.0696942 0.930004i
\(226\) −3.18654e9 1.39611e10i −0.0812514 0.355986i
\(227\) 4.67513e8 1.19120e9i 0.0116863 0.0297762i −0.924912 0.380182i \(-0.875861\pi\)
0.936598 + 0.350406i \(0.113956\pi\)
\(228\) 1.16527e9 1.55494e10i 0.0285574 0.381071i
\(229\) 4.76542e10 7.18272e9i 1.14510 0.172595i 0.451031 0.892508i \(-0.351056\pi\)
0.694064 + 0.719913i \(0.255818\pi\)
\(230\) 2.31858e10 + 2.15133e10i 0.546320 + 0.506911i
\(231\) −1.54192e11 7.42549e10i −3.56293 1.71582i
\(232\) −2.76394e10 + 1.88442e10i −0.626373 + 0.427054i
\(233\) 2.41988e10 + 6.16575e10i 0.537888 + 1.37052i 0.898981 + 0.437987i \(0.144309\pi\)
−0.361093 + 0.932530i \(0.617596\pi\)
\(234\) 4.84254e10 1.49373e10i 1.05585 0.325686i
\(235\) 4.01709e10 3.72732e10i 0.859224 0.797243i
\(236\) 1.19266e10 1.49555e10i 0.250272 0.313831i
\(237\) 7.01890e10 8.80142e10i 1.44511 1.81211i
\(238\) −5.80987e10 + 5.39077e10i −1.17373 + 1.08907i
\(239\) −2.77695e10 + 8.56575e9i −0.550525 + 0.169814i −0.557524 0.830161i \(-0.688248\pi\)
0.00699866 + 0.999976i \(0.497772\pi\)
\(240\) −6.12989e9 1.56187e10i −0.119262 0.303874i
\(241\) −3.24390e10 + 2.21165e10i −0.619427 + 0.422318i −0.831960 0.554836i \(-0.812781\pi\)
0.212533 + 0.977154i \(0.431829\pi\)
\(242\) 4.78444e10 + 2.30407e10i 0.896731 + 0.431843i
\(243\) −3.17881e10 2.94951e10i −0.584840 0.542652i
\(244\) 3.73633e10 5.63161e9i 0.674825 0.101713i
\(245\) −4.04437e9 + 5.39683e10i −0.0717139 + 0.956955i
\(246\) −8.55222e9 + 2.17907e10i −0.148892 + 0.379370i
\(247\) 5.61484e9 + 2.46002e10i 0.0959845 + 0.420535i
\(248\) −3.68416e9 4.91617e10i −0.0618451 0.825266i
\(249\) −2.90991e9 8.97587e8i −0.0479713 0.0147972i
\(250\) 4.19275e10 2.01912e10i 0.678842 0.326913i
\(251\) −1.14997e9 + 1.99181e9i −0.0182876 + 0.0316750i −0.875024 0.484079i \(-0.839155\pi\)
0.856737 + 0.515754i \(0.172488\pi\)
\(252\) 4.09254e10 + 7.08848e10i 0.639278 + 1.10726i
\(253\) 1.26707e11 + 8.63873e10i 1.94428 + 1.32559i
\(254\) −1.00697e10 + 4.41183e10i −0.151798 + 0.665070i
\(255\) 1.06103e11 + 1.59925e10i 1.57144 + 0.236857i
\(256\) −4.51740e10 5.66464e10i −0.657368 0.824314i
\(257\) 1.96381e10 0.280802 0.140401 0.990095i \(-0.455161\pi\)
0.140401 + 0.990095i \(0.455161\pi\)
\(258\) 8.29139e9 + 8.43409e10i 0.116503 + 1.18508i
\(259\) 1.20210e10 0.165993
\(260\) −1.32312e10 1.65913e10i −0.179563 0.225165i
\(261\) 9.04471e10 + 1.36327e10i 1.20646 + 0.181844i
\(262\) 9.23927e9 4.04799e10i 0.121138 0.530742i
\(263\) −9.10492e10 6.20763e10i −1.17348 0.800064i −0.190124 0.981760i \(-0.560889\pi\)
−0.983355 + 0.181696i \(0.941841\pi\)
\(264\) −1.07133e11 1.85559e11i −1.35739 2.35107i
\(265\) −8.44292e9 + 1.46236e10i −0.105169 + 0.182157i
\(266\) 4.00391e10 1.92818e10i 0.490363 0.236146i
\(267\) −1.09078e11 3.36462e10i −1.31352 0.405168i
\(268\) 3.75743e9 + 5.01395e10i 0.0444923 + 0.593709i
\(269\) 2.15497e10 + 9.44154e10i 0.250932 + 1.09940i 0.930644 + 0.365926i \(0.119248\pi\)
−0.679712 + 0.733479i \(0.737895\pi\)
\(270\) −1.84560e10 + 4.70251e10i −0.211349 + 0.538509i
\(271\) −1.23958e9 + 1.65411e10i −0.0139609 + 0.186295i 0.985863 + 0.167551i \(0.0535859\pi\)
−0.999824 + 0.0187444i \(0.994033\pi\)
\(272\) −3.72531e10 + 5.61501e9i −0.412670 + 0.0622000i
\(273\) −1.53597e11 1.42517e11i −1.67360 1.55287i
\(274\) −8.54836e10 4.11667e10i −0.916232 0.441234i
\(275\) 6.55827e10 4.47136e10i 0.691500 0.471457i
\(276\) −4.23889e10 1.08005e11i −0.439705 1.12035i
\(277\) −4.11634e10 + 1.26972e10i −0.420100 + 0.129584i −0.497596 0.867409i \(-0.665784\pi\)
0.0774961 + 0.996993i \(0.475307\pi\)
\(278\) 6.16784e9 5.72292e9i 0.0619344 0.0574667i
\(279\) −8.40467e10 + 1.05391e11i −0.830428 + 1.04132i
\(280\) −7.20152e10 + 9.03042e10i −0.700186 + 0.878005i
\(281\) 6.88624e10 6.38950e10i 0.658876 0.611348i −0.278179 0.960529i \(-0.589731\pi\)
0.937055 + 0.349181i \(0.113540\pi\)
\(282\) 2.09461e11 6.46100e10i 1.97234 0.608386i
\(283\) 1.02308e10 + 2.60676e10i 0.0948134 + 0.241581i 0.970410 0.241462i \(-0.0776269\pi\)
−0.875597 + 0.483042i \(0.839532\pi\)
\(284\) −1.03267e10 + 7.04063e9i −0.0941954 + 0.0642213i
\(285\) −5.42076e10 2.61050e10i −0.486697 0.234381i
\(286\) 8.22443e10 + 7.63115e10i 0.726873 + 0.674440i
\(287\) 6.04996e10 9.11885e9i 0.526361 0.0793362i
\(288\) −1.28381e10 + 1.71313e11i −0.109960 + 1.46731i
\(289\) 4.46973e10 1.13887e11i 0.376913 0.960358i
\(290\) 9.29390e9 + 4.07192e10i 0.0771626 + 0.338071i
\(291\) −5.84164e9 7.79513e10i −0.0477548 0.637243i
\(292\) 6.95607e10 + 2.14566e10i 0.559939 + 0.172718i
\(293\) −8.46106e10 + 4.07463e10i −0.670688 + 0.322986i −0.738054 0.674742i \(-0.764255\pi\)
0.0673657 + 0.997728i \(0.478541\pi\)
\(294\) −1.08240e11 + 1.87477e11i −0.844936 + 1.46347i
\(295\) −3.69045e10 6.39204e10i −0.283713 0.491406i
\(296\) 1.24350e10 + 8.47802e9i 0.0941526 + 0.0641921i
\(297\) −5.45026e10 + 2.38791e11i −0.406455 + 1.78080i
\(298\) −1.29684e11 1.95467e10i −0.952605 0.143582i
\(299\) 1.17063e11 + 1.46793e11i 0.847032 + 1.06214i
\(300\) −6.00542e10 −0.428053
\(301\) 1.80070e11 1.28987e11i 1.26442 0.905726i
\(302\) −1.39910e11 −0.967868
\(303\) 2.58556e11 + 3.24219e11i 1.76223 + 2.20977i
\(304\) 2.08885e10 + 3.14843e9i 0.140273 + 0.0211428i
\(305\) 3.24426e10 1.42140e11i 0.214667 0.940520i
\(306\) 2.24174e11 + 1.52840e11i 1.46164 + 0.996528i
\(307\) −1.46899e11 2.54437e11i −0.943837 1.63477i −0.758062 0.652182i \(-0.773854\pi\)
−0.185775 0.982592i \(-0.559480\pi\)
\(308\) −9.06054e10 + 1.56933e11i −0.573688 + 0.993657i
\(309\) 1.57254e11 7.57295e10i 0.981270 0.472555i
\(310\) −5.88179e10 1.81429e10i −0.361728 0.111578i
\(311\) 1.55251e10 + 2.07168e11i 0.0941048 + 1.25574i 0.821774 + 0.569813i \(0.192985\pi\)
−0.727669 + 0.685928i \(0.759396\pi\)
\(312\) −5.83739e10 2.55753e11i −0.348757 1.52801i
\(313\) 4.83333e10 1.23151e11i 0.284641 0.725253i −0.715017 0.699107i \(-0.753581\pi\)
0.999658 0.0261461i \(-0.00832351\pi\)
\(314\) −1.36182e10 + 1.81722e11i −0.0790562 + 1.05493i
\(315\) 3.12296e11 4.70710e10i 1.78718 0.269374i
\(316\) −8.73790e10 8.10758e10i −0.492964 0.457404i
\(317\) 1.94731e11 + 9.37774e10i 1.08310 + 0.521593i 0.888306 0.459252i \(-0.151882\pi\)
0.194793 + 0.980844i \(0.437597\pi\)
\(318\) −5.58071e10 + 3.80487e10i −0.306033 + 0.208650i
\(319\) 7.39831e10 + 1.88506e11i 0.400013 + 1.01922i
\(320\) −1.10447e11 + 3.40685e10i −0.588817 + 0.181626i
\(321\) −1.19497e10 + 1.10877e10i −0.0628182 + 0.0582868i
\(322\) 2.06172e11 2.58531e11i 1.06875 1.34017i
\(323\) −8.42300e10 + 1.05621e11i −0.430582 + 0.539932i
\(324\) 1.63131e10 1.51363e10i 0.0822400 0.0763076i
\(325\) 9.28633e10 2.86445e10i 0.461710 0.142419i
\(326\) 7.63612e10 + 1.94565e11i 0.374450 + 0.954082i
\(327\) 5.87506e10 4.00555e10i 0.284150 0.193730i
\(328\) 6.90146e10 + 3.32357e10i 0.329237 + 0.158552i
\(329\) −4.19975e11 3.89680e11i −1.97625 1.83369i
\(330\) −2.64531e11 + 3.98717e10i −1.22790 + 0.185077i
\(331\) 1.79281e10 2.39234e11i 0.0820935 1.09546i −0.792264 0.610179i \(-0.791098\pi\)
0.874357 0.485283i \(-0.161283\pi\)
\(332\) −1.17800e9 + 3.00150e9i −0.00532139 + 0.0135587i
\(333\) −9.15712e9 4.01200e10i −0.0408094 0.178798i
\(334\) −5.31822e8 7.09667e9i −0.00233834 0.0312029i
\(335\) 1.85388e11 + 5.71846e10i 0.804228 + 0.248072i
\(336\) −1.58043e11 + 7.61096e10i −0.676470 + 0.325771i
\(337\) −8.80319e10 + 1.52476e11i −0.371797 + 0.643971i −0.989842 0.142172i \(-0.954591\pi\)
0.618045 + 0.786142i \(0.287925\pi\)
\(338\) −1.79703e10 3.11255e10i −0.0748912 0.129715i
\(339\) 1.67472e11 + 1.14180e11i 0.688720 + 0.469561i
\(340\) 2.52819e10 1.10767e11i 0.102602 0.449528i
\(341\) −2.95104e11 4.44798e10i −1.18190 0.178143i
\(342\) −9.48535e10 1.18943e11i −0.374918 0.470132i
\(343\) 1.67101e11 0.651860
\(344\) 2.77243e11 6.43136e9i 1.06745 0.0247622i
\(345\) −4.47688e11 −1.70133
\(346\) −2.17305e11 2.72492e11i −0.815130 1.02214i
\(347\) 1.43723e11 + 2.16627e10i 0.532161 + 0.0802104i 0.409626 0.912254i \(-0.365659\pi\)
0.122536 + 0.992464i \(0.460897\pi\)
\(348\) 3.40929e10 1.49371e11i 0.124611 0.545958i
\(349\) 8.05112e10 + 5.48916e10i 0.290497 + 0.198058i 0.699796 0.714343i \(-0.253274\pi\)
−0.409299 + 0.912400i \(0.634227\pi\)
\(350\) −8.55773e10 1.48224e11i −0.304826 0.527975i
\(351\) −1.49938e11 + 2.59701e11i −0.527267 + 0.913253i
\(352\) −3.42671e11 + 1.65021e11i −1.18969 + 0.572926i
\(353\) −5.83209e10 1.79896e10i −0.199912 0.0616645i 0.193182 0.981163i \(-0.438119\pi\)
−0.393094 + 0.919498i \(0.628595\pi\)
\(354\) −2.20631e10 2.94411e11i −0.0746709 0.996413i
\(355\) 1.07312e10 + 4.70165e10i 0.0358609 + 0.157117i
\(356\) −4.41576e10 + 1.12512e11i −0.145707 + 0.371255i
\(357\) 8.38329e10 1.11867e12i 0.273154 3.64499i
\(358\) 4.02376e11 6.06484e10i 1.29467 0.195140i
\(359\) −8.02662e8 7.44761e8i −0.00255040 0.00236642i 0.678897 0.734234i \(-0.262458\pi\)
−0.681447 + 0.731868i \(0.738649\pi\)
\(360\) 3.56249e11 + 1.71561e11i 1.11787 + 0.538339i
\(361\) −2.04030e11 + 1.39105e11i −0.632282 + 0.431083i
\(362\) −4.69265e10 1.19567e11i −0.143625 0.365950i
\(363\) −7.18246e11 + 2.21549e11i −2.17117 + 0.669716i
\(364\) −1.62635e11 + 1.50904e11i −0.485578 + 0.450550i
\(365\) 1.75126e11 2.19601e11i 0.516456 0.647615i
\(366\) 3.63610e11 4.55952e11i 1.05918 1.32817i
\(367\) 1.43101e11 1.32778e11i 0.411760 0.382057i −0.446916 0.894576i \(-0.647478\pi\)
0.858676 + 0.512518i \(0.171287\pi\)
\(368\) 1.50201e11 4.63309e10i 0.426931 0.131691i
\(369\) −7.65206e10 1.94971e11i −0.214862 0.547459i
\(370\) 1.55256e10 1.05852e10i 0.0430666 0.0293623i
\(371\) 1.59054e11 + 7.65963e10i 0.435875 + 0.209906i
\(372\) 1.65519e11 + 1.53579e11i 0.448130 + 0.415804i
\(373\) −6.07131e11 + 9.15102e10i −1.62402 + 0.244782i −0.897065 0.441899i \(-0.854305\pi\)
−0.726959 + 0.686681i \(0.759067\pi\)
\(374\) −4.48888e10 + 5.98999e11i −0.118636 + 1.58308i
\(375\) −2.40644e11 + 6.13151e11i −0.628397 + 1.60113i
\(376\) −1.59610e11 6.99297e11i −0.411827 1.80433i
\(377\) 1.85279e10 + 2.47237e11i 0.0472378 + 0.630345i
\(378\) 5.04678e11 + 1.55673e11i 1.27146 + 0.392192i
\(379\) −1.66821e11 + 8.03367e10i −0.415312 + 0.200004i −0.629858 0.776710i \(-0.716887\pi\)
0.214546 + 0.976714i \(0.431173\pi\)
\(380\) −3.18532e10 + 5.51714e10i −0.0783659 + 0.135734i
\(381\) −3.20261e11 5.54709e11i −0.778649 1.34866i
\(382\) −1.36492e11 9.30584e10i −0.327960 0.223599i
\(383\) 3.60920e10 1.58130e11i 0.0857071 0.375507i −0.913825 0.406109i \(-0.866885\pi\)
0.999532 + 0.0306018i \(0.00974238\pi\)
\(384\) 1.37649e11 + 2.07473e10i 0.323060 + 0.0486934i
\(385\) 4.35948e11 + 5.46662e11i 1.01126 + 1.26808i
\(386\) 2.63577e10 0.0604317
\(387\) −5.67666e11 5.02727e11i −1.28645 1.13929i
\(388\) −8.27698e10 −0.185408
\(389\) −1.94126e11 2.43427e11i −0.429844 0.539008i 0.518991 0.854780i \(-0.326308\pi\)
−0.948835 + 0.315772i \(0.897736\pi\)
\(390\) −3.23872e11 4.88159e10i −0.708896 0.106849i
\(391\) −2.23683e11 + 9.80019e11i −0.483991 + 2.12051i
\(392\) 5.85292e11 + 3.99045e11i 1.25195 + 0.853562i
\(393\) 2.93849e11 + 5.08961e11i 0.621381 + 1.07626i
\(394\) 4.11699e10 7.13083e10i 0.0860689 0.149076i
\(395\) −4.14384e11 + 1.99557e11i −0.856478 + 0.412458i
\(396\) 5.92785e11 + 1.82850e11i 1.21135 + 0.373651i
\(397\) −8.83602e8 1.17908e10i −0.00178525 0.0238225i 0.996240 0.0866360i \(-0.0276117\pi\)
−0.998025 + 0.0628135i \(0.979993\pi\)
\(398\) −2.21052e10 9.68492e10i −0.0441591 0.193474i
\(399\) −2.29806e11 + 5.85536e11i −0.453924 + 1.15658i
\(400\) 6.07986e9 8.11301e10i 0.0118747 0.158457i
\(401\) 8.18430e11 1.23358e11i 1.58064 0.238242i 0.700742 0.713414i \(-0.252852\pi\)
0.879893 + 0.475172i \(0.157614\pi\)
\(402\) 5.68871e11 + 5.27835e11i 1.08642 + 1.00805i
\(403\) −3.29200e11 1.58534e11i −0.621708 0.299399i
\(404\) 3.62797e11 2.47351e11i 0.677560 0.461953i
\(405\) −3.13705e10 7.99306e10i −0.0579393 0.147627i
\(406\) 4.17256e11 1.28706e11i 0.762141 0.235089i
\(407\) 6.67859e10 6.19682e10i 0.120645 0.111942i
\(408\) 8.75686e11 1.09808e12i 1.56451 1.96183i
\(409\) −6.92639e10 + 8.68542e10i −0.122392 + 0.153474i −0.839252 0.543742i \(-0.817007\pi\)
0.716861 + 0.697217i \(0.245578\pi\)
\(410\) 7.01082e10 6.50509e10i 0.122530 0.113691i
\(411\) 1.28329e12 3.95842e11i 2.21838 0.684280i
\(412\) −6.75185e10 1.72034e11i −0.115448 0.294156i
\(413\) −6.37568e11 + 4.34686e11i −1.07833 + 0.735192i
\(414\) −1.01990e12 4.91159e11i −1.70631 0.821713i
\(415\) 9.12019e9 + 8.46230e9i 0.0150934 + 0.0140046i
\(416\) −4.60453e11 + 6.94021e10i −0.753816 + 0.113619i
\(417\) −8.89983e9 + 1.18760e11i −0.0144135 + 0.192335i
\(418\) 1.23051e11 3.13528e11i 0.197147 0.502323i
\(419\) 8.93006e10 + 3.91251e11i 0.141544 + 0.620144i 0.995077 + 0.0991056i \(0.0315982\pi\)
−0.853533 + 0.521039i \(0.825545\pi\)
\(420\) −3.95330e10 5.27532e11i −0.0619924 0.827231i
\(421\) 8.12748e11 + 2.50700e11i 1.26092 + 0.388941i 0.851958 0.523611i \(-0.175415\pi\)
0.408960 + 0.912552i \(0.365892\pi\)
\(422\) −2.63993e11 + 1.27133e11i −0.405217 + 0.195142i
\(423\) −9.80636e11 + 1.69851e12i −1.48928 + 2.57951i
\(424\) 1.10511e11 + 1.91410e11i 0.166057 + 0.287620i
\(425\) 4.29890e11 + 2.93094e11i 0.639156 + 0.435769i
\(426\) −4.29250e10 + 1.88067e11i −0.0631491 + 0.276674i
\(427\) −1.50723e12 2.27178e11i −2.19408 0.330705i
\(428\) 1.07618e10 + 1.34949e10i 0.0155020 + 0.0194389i
\(429\) −1.58803e12 −2.26361
\(430\) 1.18988e11 3.25155e11i 0.167840 0.458651i
\(431\) 8.94851e11 1.24912 0.624559 0.780978i \(-0.285279\pi\)
0.624559 + 0.780978i \(0.285279\pi\)
\(432\) 1.56527e11 + 1.96279e11i 0.216228 + 0.271142i
\(433\) −4.59875e10 6.93151e9i −0.0628702 0.00947616i 0.117532 0.993069i \(-0.462502\pi\)
−0.180402 + 0.983593i \(0.557740\pi\)
\(434\) −1.43195e11 + 6.27380e11i −0.193743 + 0.848842i
\(435\) −4.88450e11 3.33020e11i −0.654061 0.445931i
\(436\) −3.76452e10 6.52033e10i −0.0498907 0.0864133i
\(437\) 2.81823e11 4.88131e11i 0.369666 0.640280i
\(438\) 1.01226e12 4.87480e11i 1.31419 0.632882i
\(439\) 1.20437e12 + 3.71499e11i 1.54764 + 0.477384i 0.946756 0.321953i \(-0.104339\pi\)
0.600884 + 0.799336i \(0.294815\pi\)
\(440\) 6.54186e10 + 8.72951e11i 0.0832078 + 1.11033i
\(441\) −4.31010e11 1.88838e12i −0.542642 2.37747i
\(442\) −2.68681e11 + 6.84588e11i −0.334839 + 0.853157i
\(443\) −5.83280e10 + 7.78333e11i −0.0719549 + 0.960172i 0.838055 + 0.545586i \(0.183693\pi\)
−0.910010 + 0.414586i \(0.863926\pi\)
\(444\) −6.81602e10 + 1.02735e10i −0.0832353 + 0.0125457i
\(445\) 3.41871e11 + 3.17210e11i 0.413278 + 0.383466i
\(446\) −6.02760e11 2.90274e11i −0.721336 0.347377i
\(447\) 1.53376e12 1.04570e12i 1.81708 1.23886i
\(448\) 4.41470e11 + 1.12485e12i 0.517786 + 1.31930i
\(449\) 6.74585e10 2.08082e10i 0.0783300 0.0241616i −0.255342 0.966851i \(-0.582188\pi\)
0.333673 + 0.942689i \(0.391712\pi\)
\(450\) −4.29509e11 + 3.98526e11i −0.493760 + 0.458143i
\(451\) 2.89115e11 3.62539e11i 0.329061 0.412629i
\(452\) 1.33813e11 1.67796e11i 0.150791 0.189086i
\(453\) 1.45168e12 1.34696e12i 1.61968 1.50284i
\(454\) −1.99836e10 + 6.16414e9i −0.0220761 + 0.00680959i
\(455\) 3.12752e11 + 7.96879e11i 0.342097 + 0.871648i
\(456\) −6.50681e11 + 4.43627e11i −0.704736 + 0.480481i
\(457\) 9.81340e11 + 4.72588e11i 1.05244 + 0.506827i 0.878407 0.477913i \(-0.158607\pi\)
0.174031 + 0.984740i \(0.444321\pi\)
\(458\) −5.77337e11 5.35691e11i −0.613105 0.568878i
\(459\) −1.58758e12 + 2.39289e11i −1.66947 + 0.251632i
\(460\) −3.54245e10 + 4.72707e11i −0.0368887 + 0.492245i
\(461\) −6.72609e11 + 1.71378e12i −0.693599 + 1.76726i −0.0540157 + 0.998540i \(0.517202\pi\)
−0.639583 + 0.768722i \(0.720893\pi\)
\(462\) 6.22355e11 + 2.72671e12i 0.635549 + 2.78452i
\(463\) −4.81506e10 6.42526e11i −0.0486954 0.649795i −0.967140 0.254245i \(-0.918173\pi\)
0.918445 0.395550i \(-0.129446\pi\)
\(464\) 1.98341e11 + 6.11800e10i 0.198647 + 0.0612744i
\(465\) 7.84953e11 3.78013e11i 0.778583 0.374946i
\(466\) 5.41229e11 9.37436e11i 0.531673 0.920884i
\(467\) −5.58055e11 9.66579e11i −0.542939 0.940398i −0.998734 0.0503127i \(-0.983978\pi\)
0.455795 0.890085i \(-0.349355\pi\)
\(468\) 6.27531e11 + 4.27843e11i 0.604684 + 0.412267i
\(469\) 4.51336e11 1.97743e12i 0.430747 1.88723i
\(470\) −8.85553e11 1.33476e11i −0.837094 0.126172i
\(471\) −1.60820e12 2.01662e12i −1.50573 1.88812i
\(472\) −9.66097e11 −0.895946
\(473\) 3.35502e11 1.64489e12i 0.308191 1.51099i
\(474\) −1.83973e12 −1.67399
\(475\) −1.81896e11 2.28091e11i −0.163947 0.205583i
\(476\) −1.17456e12 1.77036e11i −1.04868 0.158063i
\(477\) 1.34479e11 5.89191e11i 0.118938 0.521103i
\(478\) 3.92396e11 + 2.67531e11i 0.343795 + 0.234395i
\(479\) 5.30888e11 + 9.19526e11i 0.460780 + 0.798094i 0.999000 0.0447102i \(-0.0142365\pi\)
−0.538220 + 0.842804i \(0.680903\pi\)
\(480\) 5.55159e11 9.61564e11i 0.477345 0.826785i
\(481\) 1.00498e11 4.83971e10i 0.0856058 0.0412256i
\(482\) 6.13113e11 + 1.89120e11i 0.517403 + 0.159598i
\(483\) 3.49770e11 + 4.66736e12i 0.292429 + 3.90219i
\(484\) 1.77098e11 + 7.75915e11i 0.146693 + 0.642703i
\(485\) −1.16679e11 + 2.97293e11i −0.0957534 + 0.243976i
\(486\) −5.29592e10 + 7.06691e11i −0.0430604 + 0.574601i
\(487\) −1.10044e12 + 1.65865e11i −0.886516 + 0.133621i −0.576487 0.817106i \(-0.695577\pi\)
−0.310029 + 0.950727i \(0.600339\pi\)
\(488\) −1.39892e12 1.29800e12i −1.11661 1.03606i
\(489\) −2.66546e12 1.28362e12i −2.10805 1.01519i
\(490\) 7.30762e11 4.98225e11i 0.572656 0.390430i
\(491\) 2.64628e11 + 6.74262e11i 0.205480 + 0.523554i 0.996048 0.0888203i \(-0.0283097\pi\)
−0.790568 + 0.612375i \(0.790214\pi\)
\(492\) −3.35246e11 + 1.03410e11i −0.257942 + 0.0795644i
\(493\) −9.73052e11 + 9.02861e11i −0.741865 + 0.688351i
\(494\) 2.57105e11 3.22400e11i 0.194241 0.243570i
\(495\) 1.49240e12 1.87140e12i 1.11728 1.40102i
\(496\) −2.24234e11 + 2.08059e11i −0.166354 + 0.154354i
\(497\) 4.81785e11 1.48611e11i 0.354201 0.109257i
\(498\) 1.81815e10 + 4.63256e10i 0.0132464 + 0.0337512i
\(499\) 9.41819e11 6.42122e11i 0.680010 0.463623i −0.173408 0.984850i \(-0.555478\pi\)
0.853418 + 0.521227i \(0.174526\pi\)
\(500\) 6.28375e11 + 3.02610e11i 0.449629 + 0.216530i
\(501\) 7.38402e10 + 6.85137e10i 0.0523628 + 0.0485856i
\(502\) 3.71668e10 5.60200e9i 0.0261209 0.00393710i
\(503\) −5.83390e10 + 7.78480e11i −0.0406353 + 0.542240i 0.939323 + 0.343035i \(0.111455\pi\)
−0.979958 + 0.199205i \(0.936164\pi\)
\(504\) 1.51027e12 3.84810e12i 1.04260 2.65650i
\(505\) −3.77008e11 1.65178e12i −0.257952 1.13016i
\(506\) −1.87286e11 2.49916e12i −0.127007 1.69479i
\(507\) 4.86113e11 + 1.49946e11i 0.326739 + 0.100786i
\(508\) −6.11050e11 + 2.94266e11i −0.407089 + 0.196044i
\(509\) 5.19419e11 8.99661e11i 0.342995 0.594085i −0.641992 0.766711i \(-0.721892\pi\)
0.984987 + 0.172626i \(0.0552252\pi\)
\(510\) −8.76784e11 1.51863e12i −0.573888 0.994002i
\(511\) −2.42627e12 1.65420e12i −1.57415 1.07323i
\(512\) −1.94916e11 + 8.53982e11i −0.125352 + 0.549204i
\(513\) 8.90182e11 + 1.34173e11i 0.567480 + 0.0855339i
\(514\) −2.00098e11 2.50915e11i −0.126447 0.158560i
\(515\) −7.13093e11 −0.446697
\(516\) −9.10783e11 + 8.85265e11i −0.565576 + 0.549730i
\(517\) −4.34210e12 −2.67296
\(518\) −1.22485e11 1.53592e11i −0.0747481 0.0937311i
\(519\) 4.87809e12 + 7.35253e11i 2.95119 + 0.444820i
\(520\) −2.38491e11 + 1.04490e12i −0.143040 + 0.626700i
\(521\) 1.17621e12 + 8.01927e11i 0.699383 + 0.476832i 0.860071 0.510174i \(-0.170419\pi\)
−0.160688 + 0.987005i \(0.551371\pi\)
\(522\) −7.47408e11 1.29455e12i −0.440596 0.763135i
\(523\) −1.85421e11 + 3.21158e11i −0.108368 + 0.187699i −0.915109 0.403206i \(-0.867896\pi\)
0.806741 + 0.590905i \(0.201229\pi\)
\(524\) 5.60656e11 2.69998e11i 0.324867 0.156448i
\(525\) 2.31494e12 + 7.14065e11i 1.32991 + 0.410224i
\(526\) 1.34580e11 + 1.79585e12i 0.0766559 + 1.02290i
\(527\) −4.35303e11 1.90719e12i −0.245835 1.07707i
\(528\) −4.85708e11 + 1.23756e12i −0.271971 + 0.692970i
\(529\) 1.78819e11 2.38617e12i 0.0992803 1.32480i
\(530\) 2.72873e11 4.11289e10i 0.150217 0.0226415i
\(531\) 1.93644e12 + 1.79676e12i 1.05701 + 0.980762i
\(532\) 6.00074e11 + 2.88980e11i 0.324790 + 0.156411i
\(533\) 4.69076e11 3.19811e11i 0.251751 0.171641i
\(534\) 6.81535e11 + 1.73652e12i 0.362704 + 0.924155i
\(535\) 6.36416e10 1.96308e10i 0.0335853 0.0103597i
\(536\) 1.86150e12 1.72722e12i 0.974143 0.903872i
\(537\) −3.59109e12 + 4.50309e12i −1.86356 + 2.33683i
\(538\) 9.86768e11 1.23737e12i 0.507803 0.636764i
\(539\) 3.14349e12 2.91673e12i 1.60422 1.48850i
\(540\) −7.23474e11 + 2.23162e11i −0.366143 + 0.112940i
\(541\) 6.60131e11 + 1.68199e12i 0.331316 + 0.844180i 0.995336 + 0.0964653i \(0.0307537\pi\)
−0.664020 + 0.747715i \(0.731151\pi\)
\(542\) 2.23976e11 1.52704e11i 0.111482 0.0760071i
\(543\) 1.63801e12 + 7.88824e11i 0.808570 + 0.389387i
\(544\) −1.82755e12 1.69572e12i −0.894693 0.830154i
\(545\) −2.87265e11 + 4.32982e10i −0.139476 + 0.0210226i
\(546\) −2.55893e11 + 3.41466e12i −0.123223 + 1.64430i
\(547\) −1.22859e12 + 3.13039e12i −0.586763 + 1.49505i 0.261356 + 0.965243i \(0.415830\pi\)
−0.848119 + 0.529806i \(0.822265\pi\)
\(548\) −3.16420e11 1.38633e12i −0.149883 0.656679i
\(549\) 3.89943e11 + 5.20343e12i 0.183200 + 2.44463i
\(550\) −1.23955e12 3.82350e11i −0.577605 0.178168i
\(551\) 6.70587e11 3.22937e11i 0.309936 0.149258i
\(552\) −2.92993e12 + 5.07479e12i −1.34317 + 2.32644i
\(553\) 2.40423e12 + 4.16424e12i 1.09323 + 1.89353i
\(554\) 5.81659e11 + 3.96568e11i 0.262346 + 0.178865i
\(555\) −5.91836e10 + 2.59300e11i −0.0264779 + 0.116007i
\(556\) 1.24693e11 + 1.87944e10i 0.0553356 + 0.00834049i
\(557\) −1.14821e12 1.43981e12i −0.505443 0.633805i 0.462005 0.886877i \(-0.347130\pi\)
−0.967447 + 0.253073i \(0.918559\pi\)
\(558\) 2.20296e12 0.961951
\(559\) 9.86114e11 1.80333e12i 0.427144 0.781129i
\(560\) 7.16671e11 0.307945
\(561\) −5.30102e12 6.64726e12i −2.25957 2.83341i
\(562\) −1.51805e12 2.28809e11i −0.641906 0.0967518i
\(563\) 3.43730e11 1.50598e12i 0.144188 0.631729i −0.850248 0.526383i \(-0.823548\pi\)
0.994436 0.105346i \(-0.0335951\pi\)
\(564\) 2.71434e12 + 1.85061e12i 1.12956 + 0.770119i
\(565\) −4.14056e11 7.17167e11i −0.170939 0.296075i
\(566\) 2.28821e11 3.96329e11i 0.0937177 0.162324i
\(567\) −8.08805e11 + 3.89500e11i −0.328640 + 0.158265i
\(568\) 6.03189e11 + 1.86059e11i 0.243157 + 0.0750039i
\(569\) −6.62036e10 8.83426e11i −0.0264775 0.353317i −0.994670 0.103111i \(-0.967120\pi\)
0.968192 0.250207i \(-0.0804986\pi\)
\(570\) 2.18795e11 + 9.58603e11i 0.0868161 + 0.380366i
\(571\) −7.99836e10 + 2.03795e11i −0.0314875 + 0.0802289i −0.945753 0.324887i \(-0.894674\pi\)
0.914265 + 0.405116i \(0.132769\pi\)
\(572\) −1.25657e11 + 1.67678e12i −0.0490800 + 0.654927i
\(573\) 2.31212e12 3.48496e11i 0.896012 0.135052i
\(574\) −7.32961e11 6.80088e11i −0.281824 0.261494i
\(575\) −1.95582e12 9.41874e11i −0.746146 0.359325i
\(576\) 3.41789e12 2.33028e12i 1.29377 0.882076i
\(577\) 9.44925e11 + 2.40763e12i 0.354900 + 0.904271i 0.991145 + 0.132784i \(0.0423916\pi\)
−0.636245 + 0.771487i \(0.719513\pi\)
\(578\) −1.91056e12 + 5.89331e11i −0.712011 + 0.219626i
\(579\) −2.73483e11 + 2.53755e11i −0.101129 + 0.0938342i
\(580\) −3.90280e11 + 4.89396e11i −0.143202 + 0.179570i
\(581\) 8.10980e10 1.01694e11i 0.0295269 0.0370255i
\(582\) −9.36461e11 + 8.68909e11i −0.338327 + 0.313921i
\(583\) 1.27852e12 3.94373e11i 0.458353 0.141383i
\(584\) −1.34317e12 3.42235e12i −0.477831 1.21749i
\(585\) 2.42134e12 1.65084e12i 0.854781 0.582780i
\(586\) 1.38274e12 + 6.65892e11i 0.484396 + 0.233273i
\(587\) −1.39105e12 1.29070e12i −0.483582 0.448699i 0.400316 0.916377i \(-0.368900\pi\)
−0.883899 + 0.467678i \(0.845091\pi\)
\(588\) −3.20818e12 + 4.83555e11i −1.10678 + 0.166820i
\(589\) −8.19709e10 + 1.09383e12i −0.0280634 + 0.374480i
\(590\) −4.40679e11 + 1.12283e12i −0.149723 + 0.381488i
\(591\) 2.59339e11 + 1.13624e12i 0.0874428 + 0.383112i
\(592\) −6.97846e9 9.31211e10i −0.00233513 0.0311602i
\(593\) −1.11622e12 3.44309e11i −0.370684 0.114341i 0.103816 0.994597i \(-0.466895\pi\)
−0.474500 + 0.880256i \(0.657371\pi\)
\(594\) 3.60638e12 1.73674e12i 1.18859 0.572395i
\(595\) −2.29162e12 + 3.96921e12i −0.749578 + 1.29831i
\(596\) −9.82776e11 1.70222e12i −0.319041 0.552595i
\(597\) 1.16176e12 + 7.92075e11i 0.374311 + 0.255201i
\(598\) 6.82775e11 2.99143e12i 0.218334 0.956585i
\(599\) −2.44903e12 3.69132e11i −0.777274 0.117155i −0.251588 0.967834i \(-0.580953\pi\)
−0.525685 + 0.850679i \(0.676191\pi\)
\(600\) 1.89106e12 + 2.37132e12i 0.595697 + 0.746980i
\(601\) 5.23748e12 1.63752 0.818762 0.574134i \(-0.194661\pi\)
0.818762 + 0.574134i \(0.194661\pi\)
\(602\) −3.48286e12 9.86467e11i −1.08082 0.306125i
\(603\) −6.94350e12 −2.13870
\(604\) −1.30737e12 1.63938e12i −0.399697 0.501204i
\(605\) 3.03658e12 + 4.57691e11i 0.921480 + 0.138891i
\(606\) 1.50804e12 6.60715e12i 0.454240 1.99016i
\(607\) 3.33869e12 + 2.27628e12i 0.998223 + 0.680577i 0.948036 0.318163i \(-0.103066\pi\)
0.0501870 + 0.998740i \(0.484018\pi\)
\(608\) 6.98953e11 + 1.21062e12i 0.207435 + 0.359288i
\(609\) −3.09027e12 + 5.35250e12i −0.910371 + 1.57681i
\(610\) −2.14669e12 + 1.03379e12i −0.627748 + 0.302308i
\(611\) −5.07995e12 1.56696e12i −1.47460 0.454854i
\(612\) 3.03876e11 + 4.05494e12i 0.0875618 + 1.16843i
\(613\) −2.96704e11 1.29995e12i −0.0848694 0.371837i 0.914602 0.404356i \(-0.132504\pi\)
−0.999471 + 0.0325186i \(0.989647\pi\)
\(614\) −1.75414e12 + 4.46947e12i −0.498088 + 1.26911i
\(615\) −1.01162e11 + 1.34991e12i −0.0285154 + 0.380511i
\(616\) 9.04981e12 1.36404e12i 2.53237 0.381693i
\(617\) −3.28445e12 3.04752e12i −0.912388 0.846572i 0.0762193 0.997091i \(-0.475715\pi\)
−0.988607 + 0.150519i \(0.951906\pi\)
\(618\) −2.56991e12 1.23760e12i −0.708711 0.341297i
\(619\) −1.95179e12 + 1.33071e12i −0.534350 + 0.364314i −0.800231 0.599692i \(-0.795290\pi\)
0.265881 + 0.964006i \(0.414337\pi\)
\(620\) −3.37027e11 8.58731e11i −0.0916014 0.233396i
\(621\) 6.40096e12 1.97444e12i 1.72716 0.532759i
\(622\) 2.48879e12 2.30926e12i 0.666702 0.618609i
\(623\) 3.03997e12 3.81200e12i 0.808487 1.01381i
\(624\) −1.01485e12 + 1.27258e12i −0.267961 + 0.336012i
\(625\) 4.55078e11 4.22251e11i 0.119296 0.110691i
\(626\) −2.06599e12 + 6.37272e11i −0.537704 + 0.165860i
\(627\) 1.74169e12 + 4.43776e12i 0.450057 + 1.14673i
\(628\) −2.25657e12 + 1.53851e12i −0.578937 + 0.394712i
\(629\) 5.38056e11 + 2.59114e11i 0.137056 + 0.0660029i
\(630\) −3.78350e12 3.51058e12i −0.956889 0.887863i
\(631\) 3.03568e12 4.57555e11i 0.762297 0.114898i 0.243623 0.969870i \(-0.421664\pi\)
0.518674 + 0.854972i \(0.326426\pi\)
\(632\) −4.49885e11 + 6.00329e12i −0.112169 + 1.49680i
\(633\) 1.51520e12 3.86066e12i 0.375105 0.955752i
\(634\) −7.85980e11 3.44360e12i −0.193201 0.846469i
\(635\) 1.95562e11 + 2.60959e12i 0.0477311 + 0.636928i
\(636\) −9.67315e11 2.98377e11i −0.234429 0.0723117i
\(637\) 4.73025e12 2.27797e12i 1.13830 0.548176i
\(638\) 1.65470e12 2.86603e12i 0.395391 0.684837i
\(639\) −8.62996e11 1.49475e12i −0.204765 0.354663i
\(640\) −4.69906e11 3.20376e11i −0.110714 0.0754833i
\(641\) 1.82746e12 8.00663e12i 0.427550 1.87322i −0.0568662 0.998382i \(-0.518111\pi\)
0.484416 0.874838i \(-0.339032\pi\)
\(642\) 2.63428e11 + 3.97053e10i 0.0612003 + 0.00922446i
\(643\) 4.24509e12 + 5.32318e12i 0.979350 + 1.22807i 0.973642 + 0.228082i \(0.0732454\pi\)
0.00570773 + 0.999984i \(0.498183\pi\)
\(644\) 4.95587e12 1.13536
\(645\) 1.89579e12 + 4.51929e12i 0.431291 + 1.02814i
\(646\) 2.20777e12 0.498777
\(647\) 4.10254e12 + 5.14442e12i 0.920415 + 1.15416i 0.987689 + 0.156429i \(0.0499983\pi\)
−0.0672743 + 0.997735i \(0.521430\pi\)
\(648\) −1.11136e12 1.67511e11i −0.247610 0.0373213i
\(649\) −1.30137e12 + 5.70169e12i −0.287939 + 1.26155i
\(650\) −1.31220e12 8.94645e11i −0.288331 0.196581i
\(651\) −4.55424e12 7.88817e12i −0.993805 1.72132i
\(652\) −1.56626e12 + 2.71284e12i −0.339430 + 0.587910i
\(653\) 4.64824e12 2.23848e12i 1.00041 0.481774i 0.139335 0.990245i \(-0.455504\pi\)
0.861079 + 0.508471i \(0.169789\pi\)
\(654\) −1.11042e12 3.42518e11i −0.237348 0.0732122i
\(655\) −1.79434e11 2.39437e12i −0.0380906 0.508284i
\(656\) −1.05761e11 4.63370e11i −0.0222977 0.0976924i
\(657\) −3.67266e12 + 9.35779e12i −0.769018 + 1.95943i
\(658\) −6.99681e11 + 9.33659e12i −0.145507 + 1.94165i
\(659\) −4.23784e12 + 6.38752e11i −0.875307 + 0.131931i −0.571303 0.820739i \(-0.693562\pi\)
−0.304004 + 0.952671i \(0.598324\pi\)
\(660\) −2.93907e12 2.72706e12i −0.602924 0.559431i
\(661\) −7.01291e12 3.37724e12i −1.42887 0.688106i −0.450081 0.892988i \(-0.648605\pi\)
−0.978787 + 0.204882i \(0.934319\pi\)
\(662\) −3.23937e12 + 2.20856e12i −0.655540 + 0.446940i
\(663\) −3.80298e12 9.68984e12i −0.764388 1.94763i
\(664\) 1.55613e11 4.80002e10i 0.0310662 0.00958266i
\(665\) 1.88387e12 1.74798e12i 0.373554 0.346608i
\(666\) −4.19308e11 + 5.25795e11i −0.0825846 + 0.103558i
\(667\) 3.45302e12 4.32995e12i 0.675511 0.847065i
\(668\) 7.81853e10 7.25454e10i 0.0151926 0.0140966i
\(669\) 9.04870e12 2.79115e12i 1.74650 0.538724i
\(670\) −1.15833e12 2.95137e12i −0.222072 0.565831i
\(671\) −9.54493e12 + 6.50762e12i −1.81770 + 1.23928i
\(672\) −1.04585e13 5.03655e12i −1.97837 0.952733i
\(673\) −7.73650e11 7.17843e11i −0.145371 0.134884i 0.604136 0.796882i \(-0.293519\pi\)
−0.749506 + 0.661997i \(0.769709\pi\)
\(674\) 2.84516e12 4.28840e11i 0.531053 0.0800434i
\(675\) 2.59099e11 3.45744e12i 0.0480396 0.641044i
\(676\) 1.96791e11 5.01414e11i 0.0362447 0.0923499i
\(677\) −1.73379e12 7.59623e12i −0.317211 1.38979i −0.842422 0.538819i \(-0.818871\pi\)
0.525211 0.850972i \(-0.323986\pi\)
\(678\) −2.47541e11 3.30320e12i −0.0449897 0.600346i
\(679\) 3.19058e12 + 9.84162e11i 0.576043 + 0.177686i
\(680\) −5.16991e12 + 2.48970e12i −0.927242 + 0.446536i
\(681\) 1.48002e11 2.56347e11i 0.0263698 0.0456738i
\(682\) 2.43859e12 + 4.22376e12i 0.431627 + 0.747600i
\(683\) 1.29078e12 + 8.80036e11i 0.226964 + 0.154742i 0.671464 0.741038i \(-0.265666\pi\)
−0.444499 + 0.895779i \(0.646618\pi\)
\(684\) 5.07359e11 2.22288e12i 0.0886263 0.388297i
\(685\) −5.42546e12 8.17757e11i −0.941519 0.141911i
\(686\) −1.70264e12 2.13504e12i −0.293538 0.368085i
\(687\) 1.11476e13 1.90931
\(688\) −1.10374e12 1.32005e12i −0.187810 0.224616i
\(689\) 1.63810e12 0.276920
\(690\) 4.56163e12 + 5.72010e12i 0.766124 + 0.960689i
\(691\) −1.54857e12 2.33409e11i −0.258392 0.0389464i 0.0185686 0.999828i \(-0.494089\pi\)
−0.276961 + 0.960881i \(0.589327\pi\)
\(692\) 1.16233e12 5.09252e12i 0.192688 0.844219i
\(693\) −2.06763e13 1.40968e13i −3.40543 2.32179i
\(694\) −1.18765e12 2.05708e12i −0.194344 0.336614i
\(695\) 2.43282e11 4.21377e11i 0.0395529 0.0685077i
\(696\) −6.97166e12 + 3.35738e12i −1.12615 + 0.542324i
\(697\) 2.90451e12 + 8.95922e11i 0.466149 + 0.143788i
\(698\) −1.19004e11 1.58800e12i −0.0189763 0.253221i
\(699\) 3.40933e12 + 1.49373e13i 0.540160 + 2.36659i
\(700\) 9.37146e11 2.38781e12i 0.147525 0.375888i
\(701\) 4.15099e11 5.53911e12i 0.0649262 0.866380i −0.865736 0.500501i \(-0.833149\pi\)
0.930662 0.365879i \(-0.119232\pi\)
\(702\) 4.84596e12 7.30411e11i 0.753118 0.113514i
\(703\) −2.45468e11 2.27761e11i −0.0379050 0.0351707i
\(704\) 8.25132e12 + 3.97363e12i 1.26604 + 0.609692i
\(705\) 1.04733e13 7.14061e12i 1.59674 1.08864i
\(706\) 3.64396e11 + 9.28467e11i 0.0552018 + 0.140652i
\(707\) −1.69260e13 + 5.22099e12i −2.54782 + 0.785897i
\(708\) 3.24358e12 3.00961e12i 0.485149 0.450153i
\(709\) −5.64851e12 + 7.08301e12i −0.839511 + 1.05271i 0.158353 + 0.987383i \(0.449382\pi\)
−0.997864 + 0.0653305i \(0.979190\pi\)
\(710\) 4.91386e11 6.16178e11i 0.0725705 0.0910005i
\(711\) 1.20667e13 1.11963e13i 1.77083 1.64309i
\(712\) 5.83316e12 1.79929e12i 0.850637 0.262387i
\(713\) 2.98186e12 + 7.59765e12i 0.432100 + 1.10097i
\(714\) −1.51475e13 + 1.03274e13i −2.18121 + 1.48713i
\(715\) 5.84551e12 + 2.81505e12i 0.836460 + 0.402818i
\(716\) 4.47059e12 + 4.14810e12i 0.635706 + 0.589849i
\(717\) −6.64705e12 + 1.00188e12i −0.939275 + 0.141573i
\(718\) −1.33724e9 + 1.78442e10i −0.000187780 + 0.00250575i
\(719\) 4.13832e11 1.05443e12i 0.0577490 0.147142i −0.899087 0.437769i \(-0.855769\pi\)
0.956836 + 0.290627i \(0.0938639\pi\)
\(720\) −5.45933e11 2.39189e12i −0.0757083 0.331700i
\(721\) 5.57126e11 + 7.43433e12i 0.0767794 + 1.02455i
\(722\) 3.85627e12 + 1.18950e12i 0.528141 + 0.162910i
\(723\) −8.18228e12 + 3.94038e12i −1.11366 + 0.536310i
\(724\) 9.62519e11 1.66713e12i 0.130192 0.225500i
\(725\) −1.43327e12 2.48250e12i −0.192667 0.333709i
\(726\) 1.01492e13 + 6.91958e12i 1.35586 + 0.924411i
\(727\) −3.07892e12 + 1.34896e13i −0.408784 + 1.79100i 0.181048 + 0.983474i \(0.442051\pi\)
−0.589832 + 0.807526i \(0.700806\pi\)
\(728\) 1.10799e13 + 1.67003e12i 1.46199 + 0.220360i
\(729\) −7.36910e12 9.24056e12i −0.966364 1.21178i
\(730\) −4.59026e12 −0.598252
\(731\) 1.08402e13 1.89199e12i 1.40414 0.245070i
\(732\) 8.74030e12 1.12519
\(733\) 5.18843e11 + 6.50609e11i 0.0663847 + 0.0832438i 0.813915 0.580984i \(-0.197332\pi\)
−0.747530 + 0.664228i \(0.768761\pi\)
\(734\) −3.15460e12 4.75479e11i −0.401155 0.0604644i
\(735\) −2.78567e12 + 1.22048e13i −0.352076 + 1.54254i
\(736\) 8.59425e12 + 5.85946e12i 1.07959 + 0.736051i
\(737\) −7.68617e12 1.33128e13i −0.959635 1.66214i
\(738\) −1.71145e12 + 2.96432e12i −0.212379 + 0.367851i
\(739\) −1.05001e13 + 5.05659e12i −1.29507 + 0.623674i −0.949219 0.314615i \(-0.898125\pi\)
−0.345852 + 0.938289i \(0.612410\pi\)
\(740\) 2.69108e11 + 8.30088e10i 0.0329901 + 0.0101761i
\(741\) 4.36179e11 + 5.82041e12i 0.0531475 + 0.709205i
\(742\) −6.41979e11 2.81269e12i −0.0777505 0.340647i
\(743\) −2.13172e11 + 5.43154e11i −0.0256615 + 0.0653843i −0.943130 0.332423i \(-0.892134\pi\)
0.917469 + 0.397808i \(0.130229\pi\)
\(744\) 8.52199e11 1.13718e13i 0.101968 1.36067i
\(745\) −7.49942e12 + 1.13036e12i −0.891917 + 0.134435i
\(746\) 7.35547e12 + 6.82488e12i 0.869532 + 0.806808i
\(747\) −4.01180e11 1.93198e11i −0.0471408 0.0227018i
\(748\) −7.43820e12 + 5.07128e12i −0.868782 + 0.592325i
\(749\) −2.54383e11 6.48157e11i −0.0295338 0.0752510i
\(750\) 1.0