Properties

Label 43.10.g.a.9.4
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 9.4
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-23.2329 - 29.1331i) q^{2} +(-34.9255 - 5.26417i) q^{3} +(-195.041 + 854.531i) q^{4} +(-829.320 - 565.421i) q^{5} +(658.058 + 1139.79i) q^{6} +(-4562.90 + 7903.17i) q^{7} +(12237.4 - 5893.22i) q^{8} +(-17616.5 - 5433.96i) q^{9} +O(q^{10})\) \(q+(-23.2329 - 29.1331i) q^{2} +(-34.9255 - 5.26417i) q^{3} +(-195.041 + 854.531i) q^{4} +(-829.320 - 565.421i) q^{5} +(658.058 + 1139.79i) q^{6} +(-4562.90 + 7903.17i) q^{7} +(12237.4 - 5893.22i) q^{8} +(-17616.5 - 5433.96i) q^{9} +(2795.03 + 37297.1i) q^{10} +(12922.3 + 56616.5i) q^{11} +(11310.3 - 28818.2i) q^{12} +(6474.00 - 86389.5i) q^{13} +(336253. - 50682.0i) q^{14} +(25987.9 + 24113.3i) q^{15} +(-51669.2 - 24882.6i) q^{16} +(-34057.4 + 23220.0i) q^{17} +(250973. + 639469. i) q^{18} +(505170. - 155824. i) q^{19} +(644921. - 598399. i) q^{20} +(200965. - 252002. i) q^{21} +(1.34919e6 - 1.69183e6i) q^{22} +(-1.36556e6 + 1.26705e6i) q^{23} +(-458420. + 141404. i) q^{24} +(-345485. - 880282. i) q^{25} +(-2.66721e6 + 1.81847e6i) q^{26} +(1.21301e6 + 584157. i) q^{27} +(-5.86355e6 - 5.44058e6i) q^{28} +(-7.09404e6 + 1.06925e6i) q^{29} +(98720.3 - 1.31733e6i) q^{30} +(1.20952e6 - 3.08181e6i) q^{31} +(-1.07195e6 - 4.69650e6i) q^{32} +(-153280. - 2.04538e6i) q^{33} +(1.46772e6 + 452733. i) q^{34} +(8.25272e6 - 3.97430e6i) q^{35} +(8.07942e6 - 1.39940e7i) q^{36} +(-1.56563e6 - 2.71174e6i) q^{37} +(-1.62762e7 - 1.10969e7i) q^{38} +(-680876. + 2.98311e6i) q^{39} +(-1.34809e7 - 2.03192e6i) q^{40} +(-1.83882e6 - 2.30580e6i) q^{41} -1.20106e7 q^{42} +(2.16582e7 + 5.78915e6i) q^{43} -5.09009e7 q^{44} +(1.15372e7 + 1.44672e7i) q^{45} +(6.86390e7 + 1.03457e7i) q^{46} +(-4.90767e6 + 2.15019e7i) q^{47} +(1.67358e6 + 1.14103e6i) q^{48} +(-2.14633e7 - 3.71755e7i) q^{49} +(-1.76188e7 + 3.05166e7i) q^{50} +(1.31171e6 - 631684. i) q^{51} +(7.25598e7 + 2.23817e7i) q^{52} +(-7.01985e6 - 9.36734e7i) q^{53} +(-1.11635e7 - 4.89105e7i) q^{54} +(2.12954e7 - 5.42598e7i) q^{55} +(-9.26287e6 + 1.23604e8i) q^{56} +(-1.84636e7 + 2.78294e6i) q^{57} +(1.95966e8 + 1.81830e8i) q^{58} +(1.47772e8 + 7.11632e7i) q^{59} +(-2.56742e7 + 1.75044e7i) q^{60} +(-2.18049e7 - 5.55579e7i) q^{61} +(-1.17883e8 + 3.63622e7i) q^{62} +(1.23328e8 - 1.14431e8i) q^{63} +(-1.30226e8 + 1.63299e8i) q^{64} +(-5.42155e7 + 6.79841e7i) q^{65} +(-5.60273e7 + 5.19857e7i) q^{66} +(1.14097e8 - 3.51941e7i) q^{67} +(-1.31996e7 - 3.36320e7i) q^{68} +(5.43626e7 - 3.70638e7i) q^{69} +(-3.07519e8 - 1.48093e8i) q^{70} +(-1.12662e8 - 1.04535e8i) q^{71} +(-2.47603e8 + 3.73202e7i) q^{72} +(1.88775e6 - 2.51903e7i) q^{73} +(-4.26275e7 + 1.08613e8i) q^{74} +(7.43228e6 + 3.25630e7i) q^{75} +(3.46278e7 + 4.62076e8i) q^{76} +(-5.06413e8 - 1.56208e8i) q^{77} +(1.02726e8 - 4.94703e7i) q^{78} +(2.02811e7 - 3.51278e7i) q^{79} +(2.87812e7 + 4.98505e7i) q^{80} +(2.60524e8 + 1.77622e8i) q^{81} +(-2.44542e7 + 1.07141e8i) q^{82} +(1.88288e8 + 2.83799e7i) q^{83} +(1.76147e8 + 2.20881e8i) q^{84} +4.13736e7 q^{85} +(-3.34527e8 - 7.65470e8i) q^{86} +2.53391e8 q^{87} +(4.91790e8 + 6.16685e8i) q^{88} +(1.08647e9 + 1.63760e8i) q^{89} +(1.53432e8 - 6.72230e8i) q^{90} +(6.53211e8 + 4.45352e8i) q^{91} +(-8.16394e8 - 1.41404e9i) q^{92} +(-5.84662e7 + 1.01267e8i) q^{93} +(7.40437e8 - 3.56576e8i) q^{94} +(-5.07054e8 - 1.56406e8i) q^{95} +(1.27150e7 + 1.69670e8i) q^{96} +(-2.99098e8 - 1.31043e9i) q^{97} +(-5.84384e8 + 1.48899e9i) q^{98} +(8.00057e7 - 1.06760e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −23.2329 29.1331i −1.02676 1.28751i −0.957042 0.289948i \(-0.906362\pi\)
−0.0697161 0.997567i \(-0.522209\pi\)
\(3\) −34.9255 5.26417i −0.248941 0.0375218i 0.0233863 0.999727i \(-0.492555\pi\)
−0.272327 + 0.962205i \(0.587793\pi\)
\(4\) −195.041 + 854.531i −0.380940 + 1.66901i
\(5\) −829.320 565.421i −0.593413 0.404582i 0.229038 0.973417i \(-0.426442\pi\)
−0.822452 + 0.568835i \(0.807394\pi\)
\(6\) 658.058 + 1139.79i 0.207292 + 0.359041i
\(7\) −4562.90 + 7903.17i −0.718290 + 1.24411i 0.243387 + 0.969929i \(0.421741\pi\)
−0.961677 + 0.274185i \(0.911592\pi\)
\(8\) 12237.4 5893.22i 1.05629 0.508684i
\(9\) −17616.5 5433.96i −0.895009 0.276074i
\(10\) 2795.03 + 37297.1i 0.0883866 + 1.17944i
\(11\) 12922.3 + 56616.5i 0.266118 + 1.16594i 0.914488 + 0.404614i \(0.132594\pi\)
−0.648370 + 0.761326i \(0.724549\pi\)
\(12\) 11310.3 28818.2i 0.157456 0.401190i
\(13\) 6474.00 86389.5i 0.0628677 0.838911i −0.873261 0.487253i \(-0.837999\pi\)
0.936129 0.351658i \(-0.114382\pi\)
\(14\) 336253. 50682.0i 2.33932 0.352597i
\(15\) 25987.9 + 24113.3i 0.132544 + 0.122983i
\(16\) −51669.2 24882.6i −0.197102 0.0949195i
\(17\) −34057.4 + 23220.0i −0.0988990 + 0.0674282i −0.611760 0.791044i \(-0.709538\pi\)
0.512861 + 0.858472i \(0.328586\pi\)
\(18\) 250973. + 639469.i 0.563509 + 1.43580i
\(19\) 505170. 155824.i 0.889296 0.274312i 0.183748 0.982973i \(-0.441177\pi\)
0.705548 + 0.708662i \(0.250701\pi\)
\(20\) 644921. 598399.i 0.901305 0.836289i
\(21\) 200965. 252002.i 0.225493 0.282760i
\(22\) 1.34919e6 1.69183e6i 1.22793 1.53977i
\(23\) −1.36556e6 + 1.26705e6i −1.01750 + 0.944102i −0.998447 0.0557168i \(-0.982256\pi\)
−0.0190530 + 0.999818i \(0.506065\pi\)
\(24\) −458420. + 141404.i −0.282041 + 0.0869982i
\(25\) −345485. 880282.i −0.176889 0.450705i
\(26\) −2.66721e6 + 1.81847e6i −1.14466 + 0.780416i
\(27\) 1.21301e6 + 584157.i 0.439267 + 0.211540i
\(28\) −5.86355e6 5.44058e6i −1.80281 1.67276i
\(29\) −7.09404e6 + 1.06925e6i −1.86253 + 0.280731i −0.981375 0.192102i \(-0.938469\pi\)
−0.881152 + 0.472833i \(0.843231\pi\)
\(30\) 98720.3 1.31733e6i 0.0222516 0.296927i
\(31\) 1.20952e6 3.08181e6i 0.235226 0.599347i −0.763705 0.645565i \(-0.776622\pi\)
0.998931 + 0.0462185i \(0.0147170\pi\)
\(32\) −1.07195e6 4.69650e6i −0.180716 0.791770i
\(33\) −153280. 2.04538e6i −0.0224995 0.300235i
\(34\) 1.46772e6 + 452733.i 0.188360 + 0.0581014i
\(35\) 8.25272e6 3.97430e6i 0.929589 0.447667i
\(36\) 8.07942e6 1.39940e7i 0.801713 1.38861i
\(37\) −1.56563e6 2.71174e6i −0.137335 0.237871i 0.789152 0.614198i \(-0.210520\pi\)
−0.926487 + 0.376327i \(0.877187\pi\)
\(38\) −1.62762e7 1.10969e7i −1.26627 0.863330i
\(39\) −680876. + 2.98311e6i −0.0471278 + 0.206480i
\(40\) −1.34809e7 2.03192e6i −0.832623 0.125498i
\(41\) −1.83882e6 2.30580e6i −0.101627 0.127437i 0.728417 0.685134i \(-0.240256\pi\)
−0.830044 + 0.557697i \(0.811685\pi\)
\(42\) −1.20106e7 −0.595584
\(43\) 2.16582e7 + 5.78915e6i 0.966083 + 0.258230i
\(44\) −5.09009e7 −2.04733
\(45\) 1.15372e7 + 1.44672e7i 0.419416 + 0.525931i
\(46\) 6.86390e7 + 1.03457e7i 2.26027 + 0.340681i
\(47\) −4.90767e6 + 2.15019e7i −0.146702 + 0.642742i 0.847087 + 0.531455i \(0.178354\pi\)
−0.993788 + 0.111287i \(0.964503\pi\)
\(48\) 1.67358e6 + 1.14103e6i 0.0455053 + 0.0310250i
\(49\) −2.14633e7 3.71755e7i −0.531880 0.921243i
\(50\) −1.76188e7 + 3.05166e7i −0.398667 + 0.690511i
\(51\) 1.31171e6 631684.i 0.0271500 0.0130748i
\(52\) 7.25598e7 + 2.23817e7i 1.37620 + 0.424501i
\(53\) −7.01985e6 9.36734e7i −0.122204 1.63070i −0.635225 0.772327i \(-0.719093\pi\)
0.513021 0.858376i \(-0.328526\pi\)
\(54\) −1.11635e7 4.89105e7i −0.178661 0.782763i
\(55\) 2.12954e7 5.42598e7i 0.313801 0.799551i
\(56\) −9.26287e6 + 1.23604e8i −0.125863 + 1.67953i
\(57\) −1.84636e7 + 2.78294e6i −0.231675 + 0.0349194i
\(58\) 1.95966e8 + 1.81830e8i 2.27381 + 2.10979i
\(59\) 1.47772e8 + 7.11632e7i 1.58766 + 0.764578i 0.999039 0.0438302i \(-0.0139561\pi\)
0.588623 + 0.808408i \(0.299670\pi\)
\(60\) −2.56742e7 + 1.75044e7i −0.255751 + 0.174368i
\(61\) −2.18049e7 5.55579e7i −0.201637 0.513762i 0.793910 0.608036i \(-0.208042\pi\)
−0.995546 + 0.0942741i \(0.969947\pi\)
\(62\) −1.17883e8 + 3.63622e7i −1.01319 + 0.312527i
\(63\) 1.23328e8 1.14431e8i 0.986343 0.915192i
\(64\) −1.30226e8 + 1.63299e8i −0.970263 + 1.21667i
\(65\) −5.42155e7 + 6.79841e7i −0.376715 + 0.472386i
\(66\) −5.60273e7 + 5.19857e7i −0.363456 + 0.337238i
\(67\) 1.14097e8 3.51941e7i 0.691729 0.213370i 0.0710938 0.997470i \(-0.477351\pi\)
0.620635 + 0.784100i \(0.286875\pi\)
\(68\) −1.31996e7 3.36320e7i −0.0748635 0.190749i
\(69\) 5.43626e7 3.70638e7i 0.288722 0.196847i
\(70\) −3.07519e8 1.48093e8i −1.53084 0.737214i
\(71\) −1.12662e8 1.04535e8i −0.526156 0.488202i 0.371784 0.928319i \(-0.378746\pi\)
−0.897940 + 0.440118i \(0.854937\pi\)
\(72\) −2.47603e8 + 3.73202e7i −1.08583 + 0.163662i
\(73\) 1.88775e6 2.51903e7i 0.00778022 0.103820i −0.991962 0.126539i \(-0.959613\pi\)
0.999742 + 0.0227189i \(0.00723226\pi\)
\(74\) −4.26275e7 + 1.08613e8i −0.165252 + 0.421056i
\(75\) 7.43228e6 + 3.25630e7i 0.0271236 + 0.118836i
\(76\) 3.46278e7 + 4.62076e8i 0.119059 + 1.58874i
\(77\) −5.06413e8 1.56208e8i −1.64171 0.506401i
\(78\) 1.02726e8 4.94703e7i 0.314236 0.151328i
\(79\) 2.02811e7 3.51278e7i 0.0585826 0.101468i −0.835247 0.549875i \(-0.814675\pi\)
0.893829 + 0.448407i \(0.148009\pi\)
\(80\) 2.87812e7 + 4.98505e7i 0.0785604 + 0.136071i
\(81\) 2.60524e8 + 1.77622e8i 0.672458 + 0.458474i
\(82\) −2.44542e7 + 1.07141e8i −0.0597299 + 0.261694i
\(83\) 1.88288e8 + 2.83799e7i 0.435484 + 0.0656387i 0.363126 0.931740i \(-0.381709\pi\)
0.0723581 + 0.997379i \(0.476948\pi\)
\(84\) 1.76147e8 + 2.20881e8i 0.386028 + 0.484064i
\(85\) 4.13736e7 0.0859683
\(86\) −3.34527e8 7.65470e8i −0.659460 1.50899i
\(87\) 2.53391e8 0.474193
\(88\) 4.91790e8 + 6.16685e8i 0.874193 + 1.09620i
\(89\) 1.08647e9 + 1.63760e8i 1.83554 + 0.276663i 0.973250 0.229749i \(-0.0737904\pi\)
0.862292 + 0.506412i \(0.169029\pi\)
\(90\) 1.53432e8 6.72230e8i 0.246505 1.08001i
\(91\) 6.53211e8 + 4.45352e8i 0.998544 + 0.680796i
\(92\) −8.16394e8 1.41404e9i −1.18810 2.05786i
\(93\) −5.84662e7 + 1.01267e8i −0.0810461 + 0.140376i
\(94\) 7.40437e8 3.56576e8i 0.978166 0.471060i
\(95\) −5.07054e8 1.56406e8i −0.638702 0.197013i
\(96\) 1.27150e7 + 1.69670e8i 0.0152791 + 0.203885i
\(97\) −2.99098e8 1.31043e9i −0.343037 1.50294i −0.792627 0.609707i \(-0.791287\pi\)
0.449590 0.893235i \(-0.351570\pi\)
\(98\) −5.84384e8 + 1.48899e9i −0.640001 + 1.63070i
\(99\) 8.00057e7 1.06760e9i 0.0837072 1.11699i
\(100\) 8.19612e8 1.23537e8i 0.819612 0.123537i
\(101\) 7.11099e8 + 6.59803e8i 0.679960 + 0.630911i 0.942577 0.333989i \(-0.108395\pi\)
−0.262617 + 0.964900i \(0.584585\pi\)
\(102\) −4.88777e7 2.35382e7i −0.0447105 0.0215314i
\(103\) −5.36045e7 + 3.65470e7i −0.0469282 + 0.0319951i −0.586557 0.809908i \(-0.699517\pi\)
0.539629 + 0.841903i \(0.318565\pi\)
\(104\) −4.29888e8 1.09534e9i −0.360334 0.918115i
\(105\) −3.09152e8 + 9.53606e7i −0.248210 + 0.0765627i
\(106\) −2.56591e9 + 2.38081e9i −1.97408 + 1.83168i
\(107\) −6.30031e8 + 7.90033e8i −0.464659 + 0.582664i −0.957854 0.287254i \(-0.907257\pi\)
0.493195 + 0.869919i \(0.335829\pi\)
\(108\) −7.35767e8 + 9.22623e8i −0.520396 + 0.652555i
\(109\) 1.62484e9 1.50763e9i 1.10253 1.02300i 0.102934 0.994688i \(-0.467177\pi\)
0.999599 0.0283133i \(-0.00901360\pi\)
\(110\) −2.07551e9 + 6.40211e8i −1.35163 + 0.416923i
\(111\) 4.04051e7 + 1.02951e8i 0.0252629 + 0.0643688i
\(112\) 4.32412e8 2.94814e8i 0.259667 0.177038i
\(113\) −1.21992e9 5.87482e8i −0.703847 0.338955i 0.0474919 0.998872i \(-0.484877\pi\)
−0.751339 + 0.659917i \(0.770591\pi\)
\(114\) 5.10038e8 + 4.73246e8i 0.282833 + 0.262431i
\(115\) 1.84890e9 2.78677e8i 0.985765 0.148580i
\(116\) 4.69918e8 6.27062e9i 0.240969 3.21551i
\(117\) −5.83486e8 + 1.48670e9i −0.287868 + 0.733477i
\(118\) −1.35996e9 5.95839e9i −0.645741 2.82917i
\(119\) −2.81108e7 3.75112e8i −0.0128502 0.171475i
\(120\) 4.60130e8 + 1.41931e8i 0.202565 + 0.0624830i
\(121\) −9.14005e8 + 4.40162e8i −0.387627 + 0.186671i
\(122\) −1.11199e9 + 1.92602e9i −0.454443 + 0.787119i
\(123\) 5.20834e7 + 9.02111e7i 0.0205176 + 0.0355375i
\(124\) 2.39760e9 + 1.63465e9i 0.910706 + 0.620909i
\(125\) −6.47444e8 + 2.83664e9i −0.237196 + 1.03922i
\(126\) −6.19900e9 9.34349e8i −2.19106 0.330249i
\(127\) 1.83772e8 + 2.30443e8i 0.0626848 + 0.0786042i 0.812185 0.583399i \(-0.198278\pi\)
−0.749501 + 0.662004i \(0.769706\pi\)
\(128\) 5.31650e9 1.75058
\(129\) −7.25948e8 3.16201e8i −0.230809 0.100533i
\(130\) 3.24017e9 0.994999
\(131\) 1.84390e9 + 2.31218e9i 0.547037 + 0.685963i 0.976103 0.217310i \(-0.0697284\pi\)
−0.429065 + 0.903274i \(0.641157\pi\)
\(132\) 1.77774e9 + 2.67951e8i 0.509666 + 0.0768197i
\(133\) −1.07353e9 + 4.70346e9i −0.297497 + 1.30342i
\(134\) −3.67611e9 2.50633e9i −0.984956 0.671531i
\(135\) −6.75683e8 1.17032e9i −0.175082 0.303250i
\(136\) −2.79934e8 + 4.84860e8i −0.0701667 + 0.121532i
\(137\) −2.11962e9 + 1.02075e9i −0.514061 + 0.247559i −0.672884 0.739748i \(-0.734945\pi\)
0.158822 + 0.987307i \(0.449230\pi\)
\(138\) −2.34279e9 7.22654e8i −0.549891 0.169619i
\(139\) 3.30429e7 + 4.40926e8i 0.00750777 + 0.100184i 0.999699 0.0245436i \(-0.00781327\pi\)
−0.992191 + 0.124728i \(0.960194\pi\)
\(140\) 1.78654e9 + 7.82736e9i 0.393041 + 1.72202i
\(141\) 2.84592e8 7.25129e8i 0.0606369 0.154500i
\(142\) −4.27969e8 + 5.71085e9i −0.0883313 + 1.17870i
\(143\) 4.97473e9 7.49820e8i 0.994850 0.149949i
\(144\) 7.75017e8 + 7.19111e8i 0.150204 + 0.139369i
\(145\) 6.48781e9 + 3.12436e9i 1.21883 + 0.586956i
\(146\) −7.77730e8 + 5.30247e8i −0.141658 + 0.0965808i
\(147\) 5.53917e8 + 1.41136e9i 0.0978400 + 0.249292i
\(148\) 2.62263e9 8.08974e8i 0.449323 0.138598i
\(149\) 7.43990e9 6.90322e9i 1.23660 1.14740i 0.252915 0.967489i \(-0.418611\pi\)
0.983684 0.179907i \(-0.0575797\pi\)
\(150\) 7.75987e8 9.73057e8i 0.125154 0.156938i
\(151\) −4.63768e9 + 5.81547e9i −0.725947 + 0.910309i −0.998658 0.0517874i \(-0.983508\pi\)
0.272711 + 0.962096i \(0.412080\pi\)
\(152\) 5.26366e9 4.88396e9i 0.799819 0.742124i
\(153\) 7.26148e8 2.23987e8i 0.107131 0.0330454i
\(154\) 7.21462e9 + 1.83826e10i 1.03364 + 2.63368i
\(155\) −2.74560e9 + 1.87192e9i −0.382072 + 0.260492i
\(156\) −2.41636e9 1.16366e9i −0.326664 0.157313i
\(157\) 2.59350e9 + 2.40642e9i 0.340673 + 0.316099i 0.831892 0.554938i \(-0.187258\pi\)
−0.491219 + 0.871036i \(0.663448\pi\)
\(158\) −1.49457e9 + 2.25270e8i −0.190792 + 0.0287572i
\(159\) −2.47941e8 + 3.30854e9i −0.0307653 + 0.410534i
\(160\) −1.76651e9 + 4.50100e9i −0.213097 + 0.542962i
\(161\) −3.78283e9 1.65736e10i −0.443711 1.94402i
\(162\) −8.78035e8 1.17166e10i −0.100160 1.33654i
\(163\) 5.31917e9 + 1.64075e9i 0.590201 + 0.182053i 0.575448 0.817838i \(-0.304828\pi\)
0.0147529 + 0.999891i \(0.495304\pi\)
\(164\) 2.32902e9 1.12160e9i 0.251407 0.121071i
\(165\) −1.02938e9 + 1.78295e9i −0.108118 + 0.187267i
\(166\) −3.54769e9 6.14478e9i −0.362626 0.628087i
\(167\) −1.01964e10 6.95178e9i −1.01443 0.691627i −0.0625328 0.998043i \(-0.519918\pi\)
−0.951898 + 0.306416i \(0.900870\pi\)
\(168\) 9.74184e8 4.26818e9i 0.0943516 0.413381i
\(169\) 3.06482e9 + 4.61947e8i 0.289011 + 0.0435614i
\(170\) −9.61228e8 1.20534e9i −0.0882686 0.110685i
\(171\) −9.74605e9 −0.871658
\(172\) −9.17125e9 + 1.73785e10i −0.799007 + 1.51403i
\(173\) 6.60001e9 0.560193 0.280096 0.959972i \(-0.409634\pi\)
0.280096 + 0.959972i \(0.409634\pi\)
\(174\) −5.88701e9 7.38208e9i −0.486882 0.610530i
\(175\) 8.53344e9 + 1.28621e9i 0.687785 + 0.103667i
\(176\) 7.41077e8 3.24687e9i 0.0582179 0.255069i
\(177\) −4.78639e9 3.26330e9i −0.366546 0.249907i
\(178\) −2.04711e10 3.54570e10i −1.52845 2.64735i
\(179\) 3.69231e9 6.39528e9i 0.268819 0.465608i −0.699738 0.714399i \(-0.746700\pi\)
0.968557 + 0.248791i \(0.0800333\pi\)
\(180\) −1.46129e10 + 7.03721e9i −1.03755 + 0.499659i
\(181\) 1.49124e10 + 4.59986e9i 1.03275 + 0.318560i 0.764386 0.644759i \(-0.223042\pi\)
0.268360 + 0.963319i \(0.413518\pi\)
\(182\) −2.20149e9 2.93769e10i −0.148729 1.98465i
\(183\) 4.69079e8 + 2.05517e9i 0.0309183 + 0.135462i
\(184\) −9.24385e9 + 2.35529e10i −0.594528 + 1.51483i
\(185\) −2.34871e8 + 3.13414e9i −0.0147420 + 0.196719i
\(186\) 4.30855e9 6.49410e8i 0.263951 0.0397842i
\(187\) −1.75474e9 1.62816e9i −0.104936 0.0973664i
\(188\) −1.74168e10 8.38751e9i −1.01685 0.489691i
\(189\) −1.01515e10 + 6.92121e9i −0.578701 + 0.394552i
\(190\) 7.22376e9 + 1.84058e10i 0.402135 + 1.02462i
\(191\) −1.00891e10 + 3.11208e9i −0.548533 + 0.169200i −0.556620 0.830767i \(-0.687902\pi\)
0.00808701 + 0.999967i \(0.497426\pi\)
\(192\) 5.40785e9 5.01775e9i 0.287190 0.266473i
\(193\) 1.14481e10 1.43554e10i 0.593914 0.744745i −0.390502 0.920602i \(-0.627698\pi\)
0.984416 + 0.175858i \(0.0562698\pi\)
\(194\) −3.12281e10 + 3.91588e10i −1.58284 + 1.98482i
\(195\) 2.25138e9 2.08898e9i 0.111505 0.103461i
\(196\) 3.59538e10 1.10903e10i 1.74017 0.536772i
\(197\) −2.03058e9 5.17383e9i −0.0960555 0.244745i 0.874767 0.484543i \(-0.161014\pi\)
−0.970823 + 0.239798i \(0.922919\pi\)
\(198\) −3.29614e10 + 2.24727e10i −1.52409 + 1.03911i
\(199\) 8.36599e9 + 4.02885e9i 0.378162 + 0.182113i 0.613303 0.789848i \(-0.289841\pi\)
−0.235140 + 0.971961i \(0.575555\pi\)
\(200\) −9.41554e9 8.73635e9i −0.416112 0.386096i
\(201\) −4.17014e9 + 6.28548e8i −0.180206 + 0.0271616i
\(202\) 2.70125e9 3.60457e10i 0.114152 1.52325i
\(203\) 2.39189e10 6.09443e10i 0.988573 2.51884i
\(204\) 2.83957e8 + 1.24410e9i 0.0114793 + 0.0502943i
\(205\) 2.21218e8 + 2.95195e9i 0.00874841 + 0.116739i
\(206\) 2.31012e9 + 7.12576e8i 0.0893781 + 0.0275695i
\(207\) 3.09414e10 1.49006e10i 1.17131 0.564075i
\(208\) −2.48410e9 + 4.30259e9i −0.0920204 + 0.159384i
\(209\) 1.53502e10 + 2.65874e10i 0.556488 + 0.963866i
\(210\) 9.96064e9 + 6.79105e9i 0.353428 + 0.240963i
\(211\) 2.42124e9 1.06081e10i 0.0840942 0.368441i −0.915318 0.402733i \(-0.868060\pi\)
0.999412 + 0.0342918i \(0.0109176\pi\)
\(212\) 8.14159e10 + 1.22715e10i 2.76820 + 0.417240i
\(213\) 3.38448e9 + 4.24400e9i 0.112664 + 0.141276i
\(214\) 3.76536e10 1.22728
\(215\) −1.46883e10 1.70471e10i −0.468812 0.544098i
\(216\) 1.82867e10 0.571602
\(217\) 1.88371e10 + 2.36210e10i 0.576695 + 0.723153i
\(218\) −8.16718e10 1.23100e10i −2.44916 0.369152i
\(219\) −1.98536e8 + 8.69845e8i −0.00583233 + 0.0255531i
\(220\) 4.22132e10 + 2.87805e10i 1.21492 + 0.828315i
\(221\) 1.78547e9 + 3.09253e9i 0.0503487 + 0.0872065i
\(222\) 2.06054e9 3.56897e9i 0.0569369 0.0986176i
\(223\) −4.23173e10 + 2.03790e10i −1.14590 + 0.551836i −0.907799 0.419405i \(-0.862239\pi\)
−0.238100 + 0.971241i \(0.576525\pi\)
\(224\) 4.20084e10 + 1.29579e10i 1.11486 + 0.343889i
\(225\) 1.30281e9 + 1.73848e10i 0.0338891 + 0.452219i
\(226\) 1.12271e10 + 4.91890e10i 0.286272 + 1.25424i
\(227\) −4.97692e9 + 1.26810e10i −0.124407 + 0.316984i −0.979485 0.201515i \(-0.935414\pi\)
0.855079 + 0.518498i \(0.173509\pi\)
\(228\) 1.22305e9 1.63205e10i 0.0299735 0.399969i
\(229\) −5.58751e10 + 8.42182e9i −1.34264 + 0.202370i −0.780750 0.624843i \(-0.785163\pi\)
−0.561888 + 0.827214i \(0.689925\pi\)
\(230\) −5.10740e10 4.73898e10i −1.20344 1.11663i
\(231\) 1.68644e10 + 8.12147e9i 0.389688 + 0.187664i
\(232\) −8.05112e10 + 5.48916e10i −1.82457 + 1.24397i
\(233\) −1.75249e10 4.46528e10i −0.389542 0.992537i −0.982326 0.187176i \(-0.940067\pi\)
0.592784 0.805361i \(-0.298029\pi\)
\(234\) 5.68682e10 1.75415e10i 1.23993 0.382469i
\(235\) 1.62277e10 1.50571e10i 0.347097 0.322059i
\(236\) −8.96328e10 + 1.12396e11i −1.88089 + 2.35856i
\(237\) −8.93244e8 + 1.12009e9i −0.0183909 + 0.0230614i
\(238\) −1.02751e10 + 9.53390e9i −0.207582 + 0.192608i
\(239\) 2.88834e10 8.90935e9i 0.572608 0.176626i 0.00509004 0.999987i \(-0.498380\pi\)
0.567518 + 0.823361i \(0.307904\pi\)
\(240\) −7.42775e8 1.89256e9i −0.0144513 0.0368213i
\(241\) −2.75101e10 + 1.87561e10i −0.525310 + 0.358150i −0.796754 0.604304i \(-0.793451\pi\)
0.271444 + 0.962454i \(0.412499\pi\)
\(242\) 3.40583e10 + 1.64016e10i 0.638342 + 0.307409i
\(243\) −2.75898e10 2.55996e10i −0.507599 0.470983i
\(244\) 5.17288e10 7.79686e9i 0.934282 0.140820i
\(245\) −3.21987e9 + 4.29662e10i −0.0570940 + 0.761867i
\(246\) 1.41808e9 3.61322e9i 0.0246884 0.0629051i
\(247\) −1.01911e10 4.46502e10i −0.174215 0.763286i
\(248\) −3.36039e9 4.48413e10i −0.0564102 0.752741i
\(249\) −6.42666e9 1.98236e9i −0.105947 0.0326803i
\(250\) 9.76822e10 4.70413e10i 1.58156 0.761638i
\(251\) −5.25637e10 + 9.10430e10i −0.835899 + 1.44782i 0.0573966 + 0.998351i \(0.481720\pi\)
−0.893296 + 0.449469i \(0.851613\pi\)
\(252\) 7.37311e10 + 1.27706e11i 1.15172 + 1.99484i
\(253\) −8.93822e10 6.09397e10i −1.37154 0.935101i
\(254\) 2.44396e9 1.07077e10i 0.0368420 0.161415i
\(255\) −1.44499e9 2.17797e8i −0.0214010 0.00322569i
\(256\) −5.68417e10 7.12772e10i −0.827155 1.03722i
\(257\) −7.37257e10 −1.05419 −0.527096 0.849806i \(-0.676719\pi\)
−0.527096 + 0.849806i \(0.676719\pi\)
\(258\) 7.65395e9 + 2.84954e10i 0.107547 + 0.400393i
\(259\) 2.85752e10 0.394584
\(260\) −4.75202e10 5.95885e10i −0.644909 0.808690i
\(261\) 1.30782e11 + 1.97122e10i 1.74448 + 0.262938i
\(262\) 2.45219e10 1.07437e11i 0.321512 1.40864i
\(263\) −6.85217e10 4.67173e10i −0.883136 0.602112i 0.0345570 0.999403i \(-0.488998\pi\)
−0.917693 + 0.397291i \(0.869950\pi\)
\(264\) −1.39296e10 2.41269e10i −0.176491 0.305691i
\(265\) −4.71432e10 + 8.16544e10i −0.587236 + 1.01712i
\(266\) 1.61968e11 7.79995e10i 1.98363 0.955267i
\(267\) −3.70835e10 1.14388e10i −0.446561 0.137746i
\(268\) 7.82095e9 + 1.04363e11i 0.0926089 + 1.23578i
\(269\) 5.13604e9 + 2.25024e10i 0.0598057 + 0.262026i 0.995988 0.0894895i \(-0.0285236\pi\)
−0.936182 + 0.351516i \(0.885666\pi\)
\(270\) −1.83969e10 + 4.68746e10i −0.210673 + 0.536785i
\(271\) 4.91246e9 6.55522e10i 0.0553270 0.738288i −0.898699 0.438565i \(-0.855487\pi\)
0.954026 0.299722i \(-0.0968941\pi\)
\(272\) 2.33749e9 3.52320e8i 0.0258935 0.00390281i
\(273\) −2.04693e10 1.89927e10i −0.223034 0.206945i
\(274\) 7.89826e10 + 3.80360e10i 0.846552 + 0.407678i
\(275\) 4.53740e10 3.09355e10i 0.478421 0.326182i
\(276\) 2.10692e10 + 5.36835e10i 0.218553 + 0.556865i
\(277\) −5.93616e10 + 1.83106e10i −0.605824 + 0.186872i −0.582466 0.812855i \(-0.697912\pi\)
−0.0233583 + 0.999727i \(0.507436\pi\)
\(278\) 1.20779e10 1.12066e10i 0.121280 0.112531i
\(279\) −3.80539e10 + 4.77181e10i −0.375994 + 0.471481i
\(280\) 7.75704e10 9.72703e10i 0.754198 0.945734i
\(281\) −4.70725e10 + 4.36769e10i −0.450390 + 0.417901i −0.872477 0.488654i \(-0.837488\pi\)
0.422088 + 0.906555i \(0.361297\pi\)
\(282\) −2.77372e10 + 8.55579e9i −0.261181 + 0.0805636i
\(283\) 6.51930e10 + 1.66109e11i 0.604174 + 1.53941i 0.825614 + 0.564235i \(0.190829\pi\)
−0.221440 + 0.975174i \(0.571076\pi\)
\(284\) 1.11302e11 7.58845e10i 1.01524 0.692182i
\(285\) 1.68858e10 + 8.13175e9i 0.151607 + 0.0730100i
\(286\) −1.37422e11 1.27509e11i −1.21453 1.12692i
\(287\) 2.66135e10 4.01134e9i 0.231544 0.0348996i
\(288\) −6.63670e9 + 8.85606e10i −0.0568442 + 0.758533i
\(289\) −4.27043e10 + 1.08809e11i −0.360107 + 0.917537i
\(290\) −5.97081e10 2.61598e11i −0.495727 2.17192i
\(291\) 3.54779e9 + 4.73420e10i 0.0290028 + 0.387015i
\(292\) 2.11577e10 + 6.52628e9i 0.170312 + 0.0525343i
\(293\) 2.22148e11 1.06981e11i 1.76091 0.848010i 0.788398 0.615165i \(-0.210911\pi\)
0.972514 0.232845i \(-0.0748035\pi\)
\(294\) 2.82481e10 4.89272e10i 0.220509 0.381933i
\(295\) −8.23131e10 1.42570e11i −0.632805 1.09605i
\(296\) −3.51401e10 2.39581e10i −0.266066 0.181401i
\(297\) −1.73979e10 + 7.62253e10i −0.129746 + 0.568454i
\(298\) −3.73963e11 5.63658e10i −2.74698 0.414040i
\(299\) 1.00619e11 + 1.26173e11i 0.728050 + 0.912945i
\(300\) −2.92756e10 −0.208670
\(301\) −1.44577e11 + 1.44753e11i −1.01520 + 1.01643i
\(302\) 2.77170e11 1.91741
\(303\) −2.13621e10 2.67873e10i −0.145597 0.182573i
\(304\) −2.99790e10 4.51861e9i −0.201320 0.0303441i
\(305\) −1.33304e10 + 5.84042e10i −0.0882050 + 0.386452i
\(306\) −2.33960e10 1.59511e10i −0.152544 0.104003i
\(307\) 1.83543e10 + 3.17906e10i 0.117927 + 0.204256i 0.918946 0.394383i \(-0.129042\pi\)
−0.801019 + 0.598639i \(0.795708\pi\)
\(308\) 2.32256e11 4.02279e11i 1.47058 2.54712i
\(309\) 2.06455e9 9.94236e8i 0.0128829 0.00620407i
\(310\) 1.18323e11 + 3.64978e10i 0.727683 + 0.224460i
\(311\) 1.47772e10 + 1.97189e11i 0.0895719 + 1.19525i 0.843070 + 0.537804i \(0.180746\pi\)
−0.753498 + 0.657450i \(0.771635\pi\)
\(312\) 9.24799e9 + 4.05181e10i 0.0552525 + 0.242077i
\(313\) 1.12543e11 2.86754e11i 0.662777 1.68873i −0.0604987 0.998168i \(-0.519269\pi\)
0.723276 0.690560i \(-0.242636\pi\)
\(314\) 9.85193e9 1.31465e11i 0.0571923 0.763179i
\(315\) −1.66980e11 + 2.51682e10i −0.955580 + 0.144030i
\(316\) 2.60622e10 + 2.41822e10i 0.147034 + 0.136428i
\(317\) −7.57859e10 3.64966e10i −0.421524 0.202995i 0.211083 0.977468i \(-0.432301\pi\)
−0.632607 + 0.774473i \(0.718015\pi\)
\(318\) 1.02148e11 6.96437e10i 0.560157 0.381909i
\(319\) −1.52209e11 3.87822e11i −0.822967 2.09689i
\(320\) 2.00332e11 6.17943e10i 1.06801 0.329438i
\(321\) 2.61630e10 2.42757e10i 0.137535 0.127614i
\(322\) −3.94956e11 + 4.95259e11i −2.04738 + 2.56733i
\(323\) −1.35866e10 + 1.70370e10i −0.0694542 + 0.0870928i
\(324\) −2.02597e11 + 1.87982e11i −1.02136 + 0.947685i
\(325\) −7.82838e10 + 2.41474e10i −0.389222 + 0.120059i
\(326\) −7.57797e10 1.93084e11i −0.371598 0.946817i
\(327\) −6.46848e10 + 4.41013e10i −0.312851 + 0.213298i
\(328\) −3.60909e10 1.73805e10i −0.172173 0.0829143i
\(329\) −1.47540e11 1.36897e11i −0.694270 0.644188i
\(330\) 7.58584e10 1.14338e10i 0.352120 0.0530736i
\(331\) −1.30729e10 + 1.74446e11i −0.0598615 + 0.798796i 0.883796 + 0.467872i \(0.154979\pi\)
−0.943658 + 0.330924i \(0.892640\pi\)
\(332\) −6.09755e10 + 1.55363e11i −0.275444 + 0.701821i
\(333\) 1.28453e10 + 5.62789e10i 0.0572459 + 0.250811i
\(334\) 3.43645e10 + 4.58563e11i 0.151095 + 2.01623i
\(335\) −1.14522e11 3.53254e10i −0.496807 0.153245i
\(336\) −1.66542e10 + 8.02022e9i −0.0712846 + 0.0343289i
\(337\) 2.16287e11 3.74620e11i 0.913474 1.58218i 0.104353 0.994540i \(-0.466723\pi\)
0.809121 0.587642i \(-0.199944\pi\)
\(338\) −5.77467e10 1.00020e11i −0.240659 0.416833i
\(339\) 3.95136e10 + 2.69399e10i 0.162498 + 0.110789i
\(340\) −8.06955e9 + 3.53550e10i −0.0327487 + 0.143481i
\(341\) 1.90111e11 + 2.86547e10i 0.761400 + 0.114763i
\(342\) 2.26429e11 + 2.83933e11i 0.894983 + 1.12227i
\(343\) 2.34800e10 0.0915958
\(344\) 2.99157e11 5.67925e10i 1.15182 0.218664i
\(345\) −6.60407e10 −0.250972
\(346\) −1.53337e11 1.92279e11i −0.575183 0.721256i
\(347\) −4.10578e11 6.18847e10i −1.52024 0.229140i −0.664794 0.747027i \(-0.731481\pi\)
−0.855449 + 0.517887i \(0.826719\pi\)
\(348\) −4.94217e10 + 2.16531e11i −0.180639 + 0.791431i
\(349\) −1.49872e11 1.02181e11i −0.540761 0.368684i 0.261924 0.965089i \(-0.415643\pi\)
−0.802684 + 0.596404i \(0.796596\pi\)
\(350\) −1.60785e11 2.78488e11i −0.572717 0.991974i
\(351\) 5.83181e10 1.01010e11i 0.205079 0.355207i
\(352\) 2.52047e11 1.21380e11i 0.875065 0.421409i
\(353\) 3.65013e11 + 1.12592e11i 1.25119 + 0.385940i 0.848401 0.529353i \(-0.177565\pi\)
0.402787 + 0.915294i \(0.368042\pi\)
\(354\) 1.61314e10 + 2.15259e11i 0.0545955 + 0.728527i
\(355\) 3.43266e10 + 1.50394e11i 0.114710 + 0.502579i
\(356\) −3.51845e11 + 8.96485e11i −1.16098 + 2.95814i
\(357\) −9.92871e8 + 1.32489e10i −0.00323509 + 0.0431692i
\(358\) −2.72098e11 + 4.10121e10i −0.875490 + 0.131959i
\(359\) 2.76738e11 + 2.56775e11i 0.879313 + 0.815883i 0.983916 0.178631i \(-0.0571668\pi\)
−0.104603 + 0.994514i \(0.533357\pi\)
\(360\) 2.26444e11 + 1.09050e11i 0.710558 + 0.342187i
\(361\) −3.57015e10 + 2.43409e10i −0.110638 + 0.0754317i
\(362\) −2.12450e11 5.41313e11i −0.650230 1.65676i
\(363\) 3.42391e10 1.05614e10i 0.103501 0.0319257i
\(364\) −5.07970e11 + 4.71327e11i −1.51664 + 1.40723i
\(365\) −1.58087e10 + 1.98234e10i −0.0466206 + 0.0584603i
\(366\) 4.89755e10 6.14133e10i 0.142664 0.178895i
\(367\) 3.61808e11 3.35709e11i 1.04107 0.965974i 0.0416223 0.999133i \(-0.486747\pi\)
0.999450 + 0.0331594i \(0.0105569\pi\)
\(368\) 1.02085e11 3.14889e10i 0.290165 0.0895041i
\(369\) 1.98638e10 + 5.06121e10i 0.0557755 + 0.142114i
\(370\) 9.67641e10 6.59726e10i 0.268415 0.183002i
\(371\) 7.72348e11 + 3.71943e11i 2.11656 + 1.01928i
\(372\) −7.51320e10 6.97123e10i −0.203414 0.188741i
\(373\) 4.81221e11 7.25323e10i 1.28723 0.194018i 0.530463 0.847708i \(-0.322018\pi\)
0.756762 + 0.653690i \(0.226780\pi\)
\(374\) −6.66571e9 + 8.89478e10i −0.0176167 + 0.235078i
\(375\) 3.75448e10 9.56627e10i 0.0980414 0.249805i
\(376\) 6.66584e10 + 2.92049e11i 0.171992 + 0.753548i
\(377\) 4.64456e10 + 6.19773e11i 0.118415 + 1.58014i
\(378\) 4.37486e11 + 1.34947e11i 1.10218 + 0.339977i
\(379\) 2.18670e11 1.05306e11i 0.544393 0.262166i −0.141412 0.989951i \(-0.545164\pi\)
0.685806 + 0.727785i \(0.259450\pi\)
\(380\) 2.32550e11 4.02788e11i 0.572123 0.990947i
\(381\) −5.20523e9 9.01572e9i −0.0126554 0.0219199i
\(382\) 3.25064e11 + 2.21625e11i 0.781058 + 0.532516i
\(383\) 1.74433e11 7.64243e11i 0.414224 1.81483i −0.149370 0.988781i \(-0.547724\pi\)
0.563594 0.826052i \(-0.309418\pi\)
\(384\) −1.85681e11 2.79869e10i −0.435790 0.0656848i
\(385\) 3.31656e11 + 4.15883e11i 0.769333 + 0.964713i
\(386\) −6.84189e11 −1.56868
\(387\) −3.50083e11 2.19674e11i −0.793363 0.497828i
\(388\) 1.17814e12 2.63909
\(389\) −4.18395e11 5.24651e11i −0.926431 1.16171i −0.986541 0.163516i \(-0.947716\pi\)
0.0601096 0.998192i \(-0.480855\pi\)
\(390\) −1.13164e11 1.70568e10i −0.247696 0.0373342i
\(391\) 1.70865e10 7.48607e10i 0.0369706 0.161979i
\(392\) −4.81738e11 3.28443e11i −1.03044 0.702543i
\(393\) −5.22274e10 9.04605e10i −0.110441 0.191290i
\(394\) −1.03554e11 + 1.79360e11i −0.216487 + 0.374967i
\(395\) −3.66815e10 + 1.76649e10i −0.0758159 + 0.0365110i
\(396\) 8.96695e11 + 2.76594e11i 1.83238 + 0.565215i
\(397\) 2.35618e10 + 3.14410e11i 0.0476048 + 0.635241i 0.969071 + 0.246783i \(0.0793733\pi\)
−0.921466 + 0.388459i \(0.873008\pi\)
\(398\) −7.69932e10 3.37329e11i −0.153808 0.673876i
\(399\) 6.22534e10 1.58619e11i 0.122966 0.313312i
\(400\) −4.05274e9 + 5.40800e10i −0.00791550 + 0.105625i
\(401\) −4.59386e10 + 6.92412e9i −0.0887213 + 0.0133726i −0.193253 0.981149i \(-0.561904\pi\)
0.104532 + 0.994522i \(0.466666\pi\)
\(402\) 1.15196e11 + 1.06886e11i 0.219999 + 0.204129i
\(403\) −2.58406e11 1.24442e11i −0.488011 0.235014i
\(404\) −7.02515e11 + 4.78967e11i −1.31202 + 0.894519i
\(405\) −1.15626e11 2.94611e11i −0.213555 0.544129i
\(406\) −2.33120e12 + 7.19081e11i −4.25807 + 1.31344i
\(407\) 1.33298e11 1.23682e11i 0.240795 0.223426i
\(408\) 1.23292e10 1.54603e10i 0.0220275 0.0276216i
\(409\) 3.00781e11 3.77167e11i 0.531490 0.666468i −0.441514 0.897254i \(-0.645558\pi\)
0.973004 + 0.230786i \(0.0741299\pi\)
\(410\) 8.08601e10 7.50272e10i 0.141321 0.131127i
\(411\) 7.94020e10 2.44923e10i 0.137260 0.0423390i
\(412\) −2.07754e10 5.29349e10i −0.0355232 0.0905117i
\(413\) −1.23668e12 + 8.43157e11i −2.09162 + 1.42604i
\(414\) −1.15296e12 5.55235e11i −1.92891 0.928914i
\(415\) −1.40105e11 1.29998e11i −0.231866 0.215140i
\(416\) −4.12668e11 + 6.21997e10i −0.675586 + 0.101828i
\(417\) 1.16707e9 1.55735e10i 0.00189010 0.0252217i
\(418\) 4.17943e11 1.06490e12i 0.669613 1.70614i
\(419\) −2.48708e11 1.08966e12i −0.394210 1.72714i −0.649572 0.760300i \(-0.725052\pi\)
0.255363 0.966845i \(-0.417805\pi\)
\(420\) −2.11913e10 2.82779e11i −0.0332305 0.443430i
\(421\) 7.25780e11 + 2.23873e11i 1.12599 + 0.347323i 0.801161 0.598449i \(-0.204216\pi\)
0.324832 + 0.945772i \(0.394692\pi\)
\(422\) −3.65300e11 + 1.75919e11i −0.560717 + 0.270027i
\(423\) 2.03296e11 3.52119e11i 0.308743 0.534759i
\(424\) −6.37943e11 1.10495e12i −0.958595 1.66034i
\(425\) 3.22065e10 + 2.19580e10i 0.0478843 + 0.0326470i
\(426\) 4.50099e10 1.97201e11i 0.0662162 0.290112i
\(427\) 5.38577e11 + 8.11774e10i 0.784011 + 0.118171i
\(428\) −5.52226e11 6.92470e11i −0.795463 0.997479i
\(429\) −1.77692e11 −0.253285
\(430\) −1.55383e11 + 8.23969e11i −0.219177 + 1.16226i
\(431\) 2.20389e11 0.307640 0.153820 0.988099i \(-0.450842\pi\)
0.153820 + 0.988099i \(0.450842\pi\)
\(432\) −4.81401e10 6.03658e10i −0.0665013 0.0833900i
\(433\) 2.15179e11 + 3.24329e10i 0.294173 + 0.0443395i 0.294471 0.955660i \(-0.404857\pi\)
−0.000297497 1.00000i \(0.500095\pi\)
\(434\) 2.50513e11 1.09757e12i 0.338943 1.48501i
\(435\) −2.10143e11 1.43273e11i −0.281392 0.191850i
\(436\) 9.71408e11 + 1.68253e12i 1.28740 + 2.22984i
\(437\) −4.92401e11 + 8.52863e11i −0.645881 + 1.11870i
\(438\) 2.99539e10 1.44250e10i 0.0388884 0.0187276i
\(439\) 1.21321e12 + 3.74226e11i 1.55900 + 0.480888i 0.949992 0.312275i \(-0.101091\pi\)
0.609009 + 0.793163i \(0.291567\pi\)
\(440\) −5.91647e10 7.89497e11i −0.0752533 1.00418i
\(441\) 1.76097e11 + 7.71531e11i 0.221706 + 0.971359i
\(442\) 4.86134e10 1.23865e11i 0.0605837 0.154365i
\(443\) 2.11801e10 2.82629e11i 0.0261283 0.348658i −0.968783 0.247908i \(-0.920257\pi\)
0.994912 0.100750i \(-0.0321242\pi\)
\(444\) −9.58551e10 + 1.44478e10i −0.117056 + 0.0176433i
\(445\) −8.08442e11 7.50124e11i −0.977302 0.906804i
\(446\) 1.57686e12 + 7.59374e11i 1.88706 + 0.908759i
\(447\) −2.96181e11 + 2.01933e11i −0.350892 + 0.239234i
\(448\) −6.96369e11 1.77432e12i −0.816748 2.08104i
\(449\) −4.15696e11 + 1.28225e11i −0.482689 + 0.148890i −0.526544 0.850148i \(-0.676512\pi\)
0.0438547 + 0.999038i \(0.486036\pi\)
\(450\) 4.76206e11 4.41855e11i 0.547442 0.507952i
\(451\) 1.06785e11 1.33904e11i 0.121539 0.152405i
\(452\) 7.39956e11 9.27875e11i 0.833840 1.04560i
\(453\) 1.92587e11 1.78694e11i 0.214874 0.199374i
\(454\) 4.85065e11 1.49623e11i 0.535857 0.165290i
\(455\) −2.89910e11 7.38678e11i −0.317111 0.807987i
\(456\) −2.09546e11 + 1.42866e11i −0.226954 + 0.154734i
\(457\) 1.52061e12 + 7.32290e11i 1.63078 + 0.785344i 0.999956 + 0.00942122i \(0.00299891\pi\)
0.630828 + 0.775923i \(0.282715\pi\)
\(458\) 1.54349e12 + 1.43215e12i 1.63912 + 1.52088i
\(459\) −5.48763e10 + 8.27126e9i −0.0577068 + 0.00869791i
\(460\) −1.22474e11 + 1.63430e12i −0.127536 + 1.70185i
\(461\) 2.53819e10 6.46719e10i 0.0261740 0.0666901i −0.917189 0.398452i \(-0.869548\pi\)
0.943363 + 0.331761i \(0.107643\pi\)
\(462\) −1.55205e11 6.79999e11i −0.158496 0.694415i
\(463\) −1.76250e10 2.35190e11i −0.0178244 0.237850i −0.998999 0.0447284i \(-0.985758\pi\)
0.981175 0.193122i \(-0.0618613\pi\)
\(464\) 3.93149e11 + 1.21270e11i 0.393755 + 0.121457i
\(465\) 1.05745e11 5.09243e10i 0.104887 0.0505111i
\(466\) −8.93721e11 + 1.54797e12i −0.877941 + 1.52064i
\(467\) 3.00322e11 + 5.20173e11i 0.292187 + 0.506083i 0.974327 0.225139i \(-0.0722836\pi\)
−0.682139 + 0.731222i \(0.738950\pi\)
\(468\) −1.15663e12 7.88574e11i −1.11452 0.759864i
\(469\) −2.42466e11 + 1.06231e12i −0.231405 + 1.01385i
\(470\) −8.15675e11 1.22943e11i −0.771040 0.116216i
\(471\) −7.79114e10 9.76978e10i −0.0729469 0.0914726i
\(472\) 2.22773e12 2.06596
\(473\) −4.78864e10 + 1.30102e12i −0.0439883 + 1.19511i
\(474\) 5.33844e10 0.0485749
\(475\) −3.11698e11 3.90857e11i −0.280940 0.352287i
\(476\) 3.26028e11 + 4.91408e10i 0.291087 + 0.0438743i
\(477\) −3.85352e11 + 1.68834e12i −0.340820 + 1.49323i
\(478\) −9.30602e11 6.34474e11i −0.815340 0.555889i
\(479\) 4.00055e11 + 6.92915e11i 0.347224 + 0.601409i 0.985755 0.168187i \(-0.0537911\pi\)
−0.638531 + 0.769596i \(0.720458\pi\)
\(480\) 8.53903e10 1.47900e11i 0.0734215 0.127170i
\(481\) −2.44402e11 + 1.17698e11i −0.208186 + 0.100257i
\(482\) 1.18556e12 + 3.65698e11i 1.00049 + 0.308610i
\(483\) 4.48705e10 + 5.98756e11i 0.0375145 + 0.500596i
\(484\) −1.97863e11 8.66895e11i −0.163893 0.718063i
\(485\) −4.92899e11 + 1.25589e12i −0.404501 + 1.03065i
\(486\) −1.04805e11 + 1.39853e12i −0.0852159 + 1.13713i
\(487\) −7.87052e11 + 1.18629e11i −0.634049 + 0.0955676i −0.458199 0.888849i \(-0.651505\pi\)
−0.175850 + 0.984417i \(0.556267\pi\)
\(488\) −5.94250e11 5.51383e11i −0.474329 0.440113i
\(489\) −1.77137e11 8.53049e10i −0.140094 0.0674659i
\(490\) 1.32655e12 9.04424e11i 1.03954 0.708744i
\(491\) −5.50114e11 1.40167e12i −0.427156 1.08837i −0.968817 0.247778i \(-0.920300\pi\)
0.541661 0.840597i \(-0.317796\pi\)
\(492\) −8.72465e10 + 2.69120e10i −0.0671282 + 0.0207063i
\(493\) 2.16777e11 2.01139e11i 0.165273 0.153351i
\(494\) −1.06403e12 + 1.33425e12i −0.803865 + 1.00801i
\(495\) −6.69995e11 + 8.40147e11i −0.501589 + 0.628973i
\(496\) −1.39178e11 + 1.29139e11i −0.103253 + 0.0958051i
\(497\) 1.34022e12 4.13404e11i 0.985311 0.303928i
\(498\) 9.15576e10 + 2.33285e11i 0.0667056 + 0.169963i
\(499\) −2.97126e11 + 2.02577e11i −0.214530 + 0.146264i −0.665818 0.746114i \(-0.731917\pi\)
0.451288 + 0.892378i \(0.350965\pi\)
\(500\) −2.29772e12 1.10652e12i −1.64411 0.791763i
\(501\) 3.19518e11 + 2.96470e11i 0.226582 + 0.210238i
\(502\) 3.87357e12 5.83847e11i 2.72236 0.410329i
\(503\) 1.62568e11 2.16932e12i 0.113235 1.51101i −0.594249 0.804281i \(-0.702551\pi\)
0.707484 0.706730i \(-0.249830\pi\)
\(504\) 8.34841e11 2.12714e12i 0.576323 1.46845i
\(505\) −2.16662e11 9.49258e11i −0.148242 0.649491i
\(506\) 3.01242e11 + 4.01979e12i 0.204286 + 2.72600i
\(507\) −1.04608e11 3.22674e10i −0.0703123 0.0216885i
\(508\) −2.32763e11 + 1.12093e11i −0.155070 + 0.0746778i
\(509\) −1.10979e11 + 1.92221e11i −0.0732841 + 0.126932i −0.900339 0.435190i \(-0.856681\pi\)
0.827055 + 0.562121i \(0.190015\pi\)
\(510\) 2.72262e10 + 4.71572e10i 0.0178206 + 0.0308661i
\(511\) 1.90470e11 + 1.29860e11i 0.123575 + 0.0842522i
\(512\) −1.50219e11 + 6.58153e11i −0.0966073 + 0.423264i
\(513\) 7.03804e11 + 1.06081e11i 0.448666 + 0.0676256i
\(514\) 1.71286e12 + 2.14786e12i 1.08240 + 1.35729i
\(515\) 6.51198e10 0.0407925
\(516\) 4.11793e11 5.58673e11i 0.255715 0.346924i
\(517\) −1.28078e12 −0.788438
\(518\) −6.63884e11 8.32484e11i −0.405143 0.508033i
\(519\) −2.30509e11 3.47436e10i −0.139455 0.0210195i
\(520\) −2.62811e11 + 1.15145e12i −0.157626 + 0.690607i
\(521\) −9.73833e10 6.63948e10i −0.0579048 0.0394788i 0.534022 0.845471i \(-0.320680\pi\)
−0.591927 + 0.805992i \(0.701632\pi\)
\(522\) −2.46417e12 4.26807e12i −1.45262 2.51602i
\(523\) −5.74102e11 + 9.94374e11i −0.335530 + 0.581155i −0.983587 0.180437i \(-0.942249\pi\)
0.648056 + 0.761592i \(0.275582\pi\)
\(524\) −2.33547e12 + 1.12470e12i −1.35326 + 0.651698i
\(525\) −2.91263e11 8.98428e10i −0.167328 0.0516139i
\(526\) 2.30936e11 + 3.08163e12i 0.131540 + 1.75527i
\(527\) 3.03663e10 + 1.33044e11i 0.0171492 + 0.0751357i
\(528\) −4.29745e10 + 1.09497e11i −0.0240635 + 0.0613127i
\(529\) 1.24725e11 1.66434e12i 0.0692474 0.924043i
\(530\) 3.47412e12 5.23640e11i 1.91251 0.288264i
\(531\) −2.21652e12 2.05663e12i −1.20989 1.12262i
\(532\) −3.80986e12 1.83473e12i −2.06209 0.993049i
\(533\) −2.11102e11 + 1.43927e11i −0.113297 + 0.0772447i
\(534\) 5.28311e11 + 1.34612e12i 0.281160 + 0.716385i
\(535\) 9.69199e11 2.98958e11i 0.511471 0.157768i
\(536\) 1.18884e12 1.10308e12i 0.622130 0.577253i
\(537\) −1.62622e11 + 2.03921e11i −0.0843906 + 0.105822i
\(538\) 5.36242e11 6.72426e11i 0.275956 0.346038i
\(539\) 1.82739e12 1.69557e12i 0.932571 0.865299i
\(540\) 1.13186e12 3.49132e11i 0.572822 0.176692i
\(541\) −2.94794e11 7.51122e11i −0.147955 0.376984i 0.837613 0.546265i \(-0.183951\pi\)
−0.985568 + 0.169281i \(0.945856\pi\)
\(542\) −2.02387e12 + 1.37985e12i −1.00736 + 0.686809i
\(543\) −4.96608e11 2.39154e11i −0.245140 0.118053i
\(544\) 1.45560e11 + 1.35060e11i 0.0712603 + 0.0661199i
\(545\) −2.19996e12 + 3.31591e11i −1.06815 + 0.160997i
\(546\) −7.77566e10 + 1.03759e12i −0.0374430 + 0.499642i
\(547\) −8.83679e11 + 2.25158e12i −0.422038 + 1.07533i 0.548876 + 0.835904i \(0.315056\pi\)
−0.970913 + 0.239431i \(0.923039\pi\)
\(548\) −4.58853e11 2.01037e12i −0.217351 0.952276i
\(549\) 8.22253e10 + 1.09722e12i 0.0386305 + 0.515488i
\(550\) −1.95542e12 6.03167e11i −0.911187 0.281064i
\(551\) −3.41708e12 + 1.64558e12i −1.57933 + 0.760565i
\(552\) 4.46832e11 7.73936e11i 0.204842 0.354796i
\(553\) 1.85081e11 + 3.20569e11i 0.0841586 + 0.145767i
\(554\) 1.91259e12 + 1.30398e12i 0.862636 + 0.588135i
\(555\) 2.47016e10 1.08225e11i 0.0110511 0.0484182i
\(556\) −3.83230e11 5.77626e10i −0.170068 0.0256336i
\(557\) 1.44109e12 + 1.80708e12i 0.634372 + 0.795477i 0.990287 0.139041i \(-0.0444020\pi\)
−0.355915 + 0.934518i \(0.615831\pi\)
\(558\) 2.27428e12 0.993093
\(559\) 6.40337e11 1.83356e12i 0.277367 0.794224i
\(560\) −5.25302e11 −0.225716
\(561\) 5.27141e10 + 6.61014e10i 0.0224695 + 0.0281759i
\(562\) 2.36607e12 + 3.56628e11i 1.00049 + 0.150800i
\(563\) 1.02703e12 4.49971e12i 0.430820 1.88754i −0.0290871 0.999577i \(-0.509260\pi\)
0.459907 0.887967i \(-0.347883\pi\)
\(564\) 5.64138e11 + 3.84623e11i 0.234763 + 0.160059i
\(565\) 6.79529e11 + 1.17698e12i 0.280537 + 0.485904i
\(566\) 3.32465e12 5.75847e12i 1.36167 2.35848i
\(567\) −2.59252e12 + 1.24849e12i −1.05341 + 0.507297i
\(568\) −1.99474e12 6.15295e11i −0.804115 0.248037i
\(569\) 7.23260e10 + 9.65124e11i 0.0289261 + 0.385992i 0.992813 + 0.119679i \(0.0381864\pi\)
−0.963887 + 0.266313i \(0.914195\pi\)
\(570\) −1.55402e11 6.80859e11i −0.0616622 0.270160i
\(571\) 8.17856e11 2.08386e12i 0.321969 0.820365i −0.674645 0.738143i \(-0.735703\pi\)
0.996614 0.0822219i \(-0.0262016\pi\)
\(572\) −3.29533e11 + 4.39731e12i −0.128711 + 1.71753i
\(573\) 3.68749e11 5.55800e10i 0.142901 0.0215389i
\(574\) −7.35171e11 6.82139e11i −0.282673 0.262283i
\(575\) 1.58714e12 + 7.64327e11i 0.605495 + 0.291591i
\(576\) 3.18149e12 2.16910e12i 1.20429 0.821068i
\(577\) 7.52814e11 + 1.91814e12i 0.282746 + 0.720425i 0.999728 + 0.0233330i \(0.00742780\pi\)
−0.716982 + 0.697092i \(0.754477\pi\)
\(578\) 4.16208e12 1.28383e12i 1.55108 0.478446i
\(579\) −4.75398e11 + 4.41105e11i −0.175794 + 0.163113i
\(580\) −3.93526e12 + 4.93465e12i −1.44393 + 1.81063i
\(581\) −1.08343e12 + 1.35858e12i −0.394466 + 0.494644i
\(582\) 1.29680e12 1.20325e12i 0.468509 0.434713i
\(583\) 5.21275e12 1.60792e12i 1.86878 0.576442i
\(584\) −1.25351e11 3.19389e11i −0.0445933 0.113622i
\(585\) 1.32451e12 9.03034e11i 0.467577 0.318789i
\(586\) −8.27782e12 3.98639e12i −2.89986 1.39650i
\(587\) −2.15462e12 1.99920e12i −0.749031 0.695000i 0.210188 0.977661i \(-0.432592\pi\)
−0.959220 + 0.282661i \(0.908783\pi\)
\(588\) −1.31408e12 + 1.98066e11i −0.453341 + 0.0683302i
\(589\) 1.30793e11 1.74531e12i 0.0447781 0.597522i
\(590\) −2.24115e12 + 5.71036e12i −0.761443 + 1.94013i
\(591\) 4.36830e10 + 1.91388e11i 0.0147289 + 0.0645314i
\(592\) 1.34195e10 + 1.79070e11i 0.00449043 + 0.0599206i
\(593\) −3.03618e12 9.36537e11i −1.00828 0.311013i −0.253744 0.967271i \(-0.581662\pi\)
−0.754536 + 0.656258i \(0.772138\pi\)
\(594\) 2.62489e12 1.26408e12i 0.865110 0.416615i
\(595\) −1.88783e11 + 3.26983e11i −0.0617501 + 0.106954i
\(596\) 4.44792e12 + 7.70403e12i 1.44394 + 2.50098i
\(597\) −2.70977e11 1.84749e11i −0.0873069 0.0595249i
\(598\) 1.33813e12 5.86271e12i 0.427899 1.87475i
\(599\) 5.04685e12 + 7.60690e11i 1.60177 + 0.241428i 0.888301 0.459262i \(-0.151886\pi\)
0.713466 + 0.700689i \(0.247124\pi\)
\(600\) 2.82853e11 + 3.54686e11i 0.0891004 + 0.111728i
\(601\) 3.90094e12 1.21965 0.609824 0.792537i \(-0.291240\pi\)
0.609824 + 0.792537i \(0.291240\pi\)
\(602\) 7.57606e12 + 8.48939e11i 2.35103 + 0.263446i
\(603\) −2.20122e12 −0.678010
\(604\) −4.06496e12 5.09730e12i −1.24277 1.55838i
\(605\) 1.00688e12 + 1.51763e11i 0.305547 + 0.0460538i
\(606\) −2.84093e11 + 1.24469e12i −0.0855723 + 0.374917i
\(607\) −3.62375e12 2.47063e12i −1.08345 0.738684i −0.116383 0.993204i \(-0.537130\pi\)
−0.967067 + 0.254521i \(0.918082\pi\)
\(608\) −1.27334e12 2.20550e12i −0.377902 0.654546i
\(609\) −1.15620e12 + 2.00259e12i −0.340608 + 0.589950i
\(610\) 2.01120e12 9.68544e11i 0.588127 0.283227i
\(611\) 1.82577e12 + 5.63174e11i 0.529980 + 0.163477i
\(612\) 4.97751e10 + 6.64203e11i 0.0143427 + 0.191390i
\(613\) −1.24463e12 5.45308e12i −0.356015 1.55980i −0.763019 0.646376i \(-0.776284\pi\)
0.407004 0.913426i \(-0.366574\pi\)
\(614\) 4.99735e11 1.27331e12i 0.141900 0.361555i
\(615\) 7.81343e9 1.04263e11i 0.00220244 0.0293895i
\(616\) −7.11775e12 + 1.07283e12i −1.99173 + 0.300204i
\(617\) −1.96575e12 1.82395e12i −0.546066 0.506675i 0.358200 0.933645i \(-0.383391\pi\)
−0.904266 + 0.426970i \(0.859581\pi\)
\(618\) −7.69307e10 3.70479e10i −0.0212154 0.0102168i
\(619\) 5.86395e12 3.99798e12i 1.60540 1.09454i 0.669191 0.743090i \(-0.266641\pi\)
0.936206 0.351451i \(-0.114312\pi\)
\(620\) −1.06411e12 2.71130e12i −0.289216 0.736911i
\(621\) −2.39659e12 + 7.39252e11i −0.646669 + 0.199471i
\(622\) 5.40140e12 5.01177e12i 1.44694 1.34256i
\(623\) −6.25169e12 + 7.83937e12i −1.66265 + 2.08490i
\(624\) 1.09408e11 1.37193e11i 0.0288880 0.0362244i
\(625\) 7.86905e11 7.30141e11i 0.206282 0.191402i
\(626\) −1.09687e13 + 3.38340e12i −2.85477 + 0.880581i
\(627\) −3.96153e11 1.00938e12i −0.102367 0.260826i
\(628\) −2.56220e12 + 1.74688e12i −0.657346 + 0.448171i
\(629\) 1.16288e11 + 5.60012e10i 0.0296214 + 0.0142649i
\(630\) 4.61266e12 + 4.27992e12i 1.16659 + 1.08244i
\(631\) −5.02597e12 + 7.57544e11i −1.26208 + 0.190228i −0.745789 0.666183i \(-0.767927\pi\)
−0.516295 + 0.856411i \(0.672689\pi\)
\(632\) 4.11714e10 5.49394e11i 0.0102652 0.136980i
\(633\) −1.40406e11 + 3.57748e11i −0.0347591 + 0.0885647i
\(634\) 6.97467e11 + 3.05580e12i 0.171444 + 0.751145i
\(635\) −2.21086e10 2.95019e11i −0.00539610 0.0720060i
\(636\) −2.77889e12 8.57174e11i −0.673464 0.207736i
\(637\) −3.35052e12 + 1.61353e12i −0.806279 + 0.388283i
\(638\) −7.76222e12 + 1.34446e13i −1.85478 + 3.21258i
\(639\) 1.41667e12 + 2.45374e12i 0.336135 + 0.582203i
\(640\) −4.40908e12 3.00606e12i −1.03881 0.708252i
\(641\) −7.01498e11 + 3.07346e12i −0.164121 + 0.719062i 0.824152 + 0.566368i \(0.191652\pi\)
−0.988274 + 0.152694i \(0.951205\pi\)
\(642\) −1.31507e12 1.98215e11i −0.305521 0.0460499i
\(643\) −4.55737e12 5.71476e12i −1.05139 1.31841i −0.946068 0.323967i \(-0.894983\pi\)
−0.105325 0.994438i \(-0.533588\pi\)
\(644\) 1.49005e13 3.41361
\(645\) 4.23257e11 + 6.72698e11i 0.0962909 + 0.153039i
\(646\) 8.11997e11 0.183446
\(647\) 1.02237e12 + 1.28201e12i 0.229371 + 0.287622i 0.883177 0.469040i \(-0.155400\pi\)
−0.653806 + 0.756662i \(0.726829\pi\)
\(648\) 4.23490e12 + 6.38309e11i 0.943531 + 0.142214i
\(649\) −2.11945e12 + 9.28593e12i −0.468946 + 2.05459i
\(650\) 2.52225e12 + 1.71964e12i 0.554214 + 0.377857i
\(651\) −5.33551e11 9.24137e11i −0.116429 0.201661i
\(652\) −2.43953e12 + 4.22539e12i −0.528678 + 0.915698i
\(653\) −4.60921e12 + 2.21968e12i −0.992013 + 0.477728i −0.858220 0.513281i \(-0.828430\pi\)
−0.133792 + 0.991009i \(0.542715\pi\)
\(654\) 2.78762e12 + 8.59868e11i 0.595846 + 0.183794i
\(655\) −2.21830e11 2.96012e12i −0.0470907 0.628381i
\(656\) 3.76358e10 + 1.64893e11i 0.00793477 + 0.0347645i
\(657\) −1.70139e11 + 4.33506e11i −0.0356253 + 0.0907718i
\(658\) −5.60460e11 + 7.47882e12i −0.116554 + 1.55531i
\(659\) 4.33349e12 6.53169e11i 0.895063 0.134909i 0.314628 0.949215i \(-0.398120\pi\)
0.580436 + 0.814306i \(0.302882\pi\)
\(660\) −1.32281e12 1.22739e12i −0.271362 0.251788i
\(661\) −9.11580e11 4.38994e11i −0.185733 0.0894442i 0.338706 0.940892i \(-0.390011\pi\)
−0.524439 + 0.851448i \(0.675725\pi\)
\(662\) 5.38589e12 3.67204e12i 1.08992 0.743098i
\(663\) −4.60789e10 1.17407e11i −0.00926171 0.0235985i
\(664\) 2.47141e12 7.62329e11i 0.493388 0.152190i
\(665\) 3.54974e12 3.29367e12i 0.703880 0.653105i
\(666\) 1.34115e12 1.68174e12i 0.264145 0.331227i
\(667\) 8.33251e12 1.04486e13i 1.63008 2.04406i
\(668\) 7.92923e12 7.35725e12i 1.54077 1.42962i
\(669\) 1.58523e12 4.88979e11i 0.305967 0.0943784i
\(670\) 1.63154e12 + 4.15710e12i 0.312796 + 0.796992i
\(671\) 2.86372e12 1.95245e12i 0.545356 0.371817i
\(672\) −1.39895e12 6.73699e11i −0.264631 0.127440i
\(673\) 1.01433e12 + 9.41165e11i 0.190596 + 0.176847i 0.769699 0.638407i \(-0.220407\pi\)
−0.579103 + 0.815255i \(0.696597\pi\)
\(674\) −1.59388e13 + 2.40239e12i −2.97500 + 0.448409i
\(675\) 9.51443e10 1.26961e12i 0.0176407 0.235399i
\(676\) −9.92514e11 + 2.52888e12i −0.182800 + 0.465767i
\(677\) −1.49721e11 6.55969e11i −0.0273926 0.120015i 0.959383 0.282106i \(-0.0910331\pi\)
−0.986776 + 0.162092i \(0.948176\pi\)
\(678\) −1.33171e11 1.77705e12i −0.0242034 0.322973i
\(679\) 1.17213e13 + 3.61555e12i 2.11623 + 0.652771i
\(680\) 5.06305e11 2.43824e11i 0.0908076 0.0437307i
\(681\) 2.40576e11 4.16690e11i 0.0428638 0.0742423i
\(682\) −3.58203e12 6.20426e12i −0.634016 1.09815i
\(683\) 2.58275e12 + 1.76089e12i 0.454139 + 0.309626i 0.768699 0.639611i \(-0.220905\pi\)
−0.314560 + 0.949238i \(0.601857\pi\)
\(684\) 1.90088e12 8.32830e12i 0.332049 1.45480i
\(685\) 2.33500e12 + 3.51944e11i 0.405209 + 0.0610754i
\(686\) −5.45509e11 6.84047e11i −0.0940467 0.117931i
\(687\) 1.99580e12 0.341831
\(688\) −9.75013e11 8.38033e11i −0.165906 0.142598i
\(689\) −8.13784e12 −1.37570
\(690\) 1.53432e12 + 1.92397e12i 0.257688 + 0.323131i
\(691\) −2.31874e12 3.49494e11i −0.386902 0.0583160i −0.0472886 0.998881i \(-0.515058\pi\)
−0.339613 + 0.940565i \(0.610296\pi\)
\(692\) −1.28727e12 + 5.63992e12i −0.213400 + 0.934965i
\(693\) 8.07238e12 + 5.50366e12i 1.32954 + 0.906467i
\(694\) 7.73602e12 + 1.33992e13i 1.26590 + 2.19261i
\(695\) 2.21906e11 3.84352e11i 0.0360776 0.0624882i
\(696\) 3.10085e12 1.49329e12i 0.500886 0.241214i
\(697\) 1.16166e11 + 3.58325e10i 0.0186437 + 0.00575082i
\(698\) 5.05107e11 + 6.74018e12i 0.0805441 + 1.07479i
\(699\) 3.77006e11 + 1.65177e12i 0.0597312 + 0.261700i
\(700\) −2.76348e12 + 7.04122e12i −0.435025 + 1.10843i
\(701\) −6.71347e11 + 8.95851e12i −0.105006 + 1.40121i 0.657120 + 0.753786i \(0.271775\pi\)
−0.762126 + 0.647428i \(0.775845\pi\)
\(702\) −4.29763e12 + 6.47764e11i −0.667901 + 0.100670i
\(703\) −1.21346e12 1.12593e12i −0.187382 0.173865i
\(704\) −1.09282e13 5.26276e12i −1.67677 0.807490i
\(705\) −6.46021e11 + 4.40450e11i −0.0984908 + 0.0671499i
\(706\) −5.20017e12 1.32498e13i −0.787764 2.00719i
\(707\) −8.45921e12 + 2.60932e12i −1.27333 + 0.392771i
\(708\) 3.72214e12 3.45364e12i 0.556727 0.516568i
\(709\) 1.45480e12 1.82426e12i 0.216219 0.271130i −0.661879 0.749611i \(-0.730241\pi\)
0.878098 + 0.478480i \(0.158812\pi\)
\(710\) 3.58396e12 4.49414e12i 0.529298 0.663718i
\(711\) −5.48164e11 + 5.08622e11i −0.0804446 + 0.0746417i
\(712\) 1.42607e13 4.39884e12i 2.07960 0.641473i
\(713\) 2.25314e12 + 5.74091e12i 0.326502 + 0.831913i
\(714\) 4.09050e11 2.78886e11i 0.0589027 0.0401592i
\(715\) −4.54961e12 2.19098e12i −0.651024 0.313517i
\(716\) 4.74481e12 + 4.40254e12i 0.674699 + 0.626029i
\(717\) −1.05567e12 + 1.59116e11i −0.149173 + 0.0224842i
\(718\) 1.05124e12 1.40279e13i 0.147619 1.96984i
\(719\) 1.34983e12 3.43932e12i 0.188365 0.479946i −0.805228 0.592966i \(-0.797957\pi\)
0.993593 + 0.113019i \(0.0360522\pi\)
\(720\) −2.36137e11 1.03458e12i −0.0327467 0.143473i
\(721\) −4.42448e10 5.90406e11i −0.00609752 0.0813658i
\(722\) 1.53858e12 + 4.74588e11i 0.210718 + 0.0649979i
\(723\) 1.05954e12 5.10247e11i 0.144210 0.0694477i
\(724\) −6.83925e12 + 1.18459e13i −0.925092 + 1.60231i
\(725\) 3.39213e12 + 5.87535e12i 0.455986 + 0.789791i
\(726\) −1.10316e12 7.52122e11i −0.147375 0.100479i
\(727\) 5.37039e10 2.35292e11i 0.00713019 0.0312394i −0.971238 0.238112i \(-0.923471\pi\)
0.978368 + 0.206873i \(0.0663286\pi\)
\(728\) 1.06182e13 + 1.60043e12i 1.40106 + 0.211176i
\(729\) −3.04074e12 3.81297e12i −0.398755 0.500023i
\(730\) 9.44800e11 0.123137
\(731\) −8.72047e11 + 3.05740e11i −0.112957 + 0.0396026i
\(732\) −1.84770e12 −0.237865
\(733\) −4.80147e12 6.02085e12i −0.614336 0.770353i 0.373199 0.927751i \(-0.378261\pi\)
−0.987535 + 0.157398i \(0.949689\pi\)
\(734\) −1.81861e13 2.74111e12i −2.31264 0.348574i
\(735\) 3.38636e11 1.48366e12i 0.0427997 0.187518i
\(736\) 7.41450e12 + 5.05512e12i 0.931391 + 0.635011i
\(737\) 3.46696e12 + 6.00496e12i 0.432858 + 0.749732i
\(738\) 1.01300e12 1.75456e12i 0.125706 0.217728i
\(739\) −1.41252e13 + 6.80233e12i −1.74219 + 0.838992i −0.760286 + 0.649589i \(0.774941\pi\)
−0.981899 + 0.189404i \(0.939345\pi\)
\(740\) −2.63241e12 8.11991e11i −0.322709 0.0995425i
\(741\) 1.20883e11 + 1.61308e12i 0.0147294 + 0.196550i
\(742\) −7.10801e12 3.11422e13i −0.860856 3.77165i
\(743\) −2.83913e12 + 7.23398e12i −0.341771 + 0.870818i 0.651881 + 0.758321i \(0.273980\pi\)
−0.993652 + 0.112497i \(0.964115\pi\)
\(744\) −1.18689e11 + 1.58379e12i −0.0142014 + 0.189505i
\(745\) −1.00733e13 + 1.51830e12i −1.19803 + 0.180574i
\(746\) −1.32932e13 1.23343e13i −1.57147 1.45811i
\(747\) −3.16276e12 1.52311e12i −0.371641 0.178973i
\(748\) 1.73356e12 1.18192e12i 0.202479 0.138048i
\(749\) −3.36900e12 8.58408e12i −0.391141 0.996611i
\(750\)