Properties

Label 43.10.g.a.24.18
Level 43
Weight 10
Character 43.24
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 24.18
Character \(\chi\) \(=\) 43.24
Dual form 43.10.g.a.9.18

$q$-expansion

\(f(q)\) \(=\) \(q+(3.74995 - 4.70229i) q^{2} +(29.2285 - 4.40549i) q^{3} +(105.881 + 463.896i) q^{4} +(328.917 - 224.252i) q^{5} +(88.8898 - 153.962i) q^{6} +(2917.98 + 5054.09i) q^{7} +(5352.87 + 2577.81i) q^{8} +(-17973.6 + 5544.13i) q^{9} +O(q^{10})\) \(q+(3.74995 - 4.70229i) q^{2} +(29.2285 - 4.40549i) q^{3} +(105.881 + 463.896i) q^{4} +(328.917 - 224.252i) q^{5} +(88.8898 - 153.962i) q^{6} +(2917.98 + 5054.09i) q^{7} +(5352.87 + 2577.81i) q^{8} +(-17973.6 + 5544.13i) q^{9} +(178.926 - 2387.60i) q^{10} +(11485.7 - 50322.0i) q^{11} +(5138.45 + 13092.6i) q^{12} +(10237.6 + 136611. i) q^{13} +(34708.1 + 5231.40i) q^{14} +(8625.83 - 8003.60i) q^{15} +(-187302. + 90200.0i) q^{16} +(-245586. - 167437. i) q^{17} +(-41330.2 + 105308. i) q^{18} +(-476246. - 146903. i) q^{19} +(138856. + 128839. i) q^{20} +(107554. + 134868. i) q^{21} +(-193558. - 242714. i) q^{22} +(1.37504e6 + 1.27585e6i) q^{23} +(167813. + 51763.5i) q^{24} +(-655659. + 1.67059e6i) q^{25} +(680774. + 464144. i) q^{26} +(-1.02511e6 + 493665. i) q^{27} +(-2.03561e6 + 1.88877e6i) q^{28} +(2.86487e6 + 431810. i) q^{29} +(-5288.81 - 70574.3i) q^{30} +(397917. + 1.01388e6i) q^{31} +(-955118. + 4.18464e6i) q^{32} +(114016. - 1.52144e6i) q^{33} +(-1.70827e6 + 526933. i) q^{34} +(2.09316e6 + 1.00801e6i) q^{35} +(-4.47498e6 - 7.75089e6i) q^{36} +(-1.11916e7 + 1.93844e7i) q^{37} +(-2.47668e6 + 1.68857e6i) q^{38} +(901067. + 3.94783e6i) q^{39} +(2.33873e6 - 352507. i) q^{40} +(-1.69923e7 + 2.13076e7i) q^{41} +1.03751e6 q^{42} +(2.20579e7 - 4.00520e6i) q^{43} +2.45603e7 q^{44} +(-4.66856e6 + 5.85418e6i) q^{45} +(1.11557e7 - 1.68146e6i) q^{46} +(-3.75046e6 - 1.64318e7i) q^{47} +(-5.07719e6 + 3.46157e6i) q^{48} +(3.14761e6 - 5.45183e6i) q^{49} +(5.39692e6 + 9.34775e6i) q^{50} +(-7.91575e6 - 3.81203e6i) q^{51} +(-6.22893e7 + 1.92137e7i) q^{52} +(2.71565e6 - 3.62378e7i) q^{53} +(-1.52274e6 + 6.67157e6i) q^{54} +(-7.50697e6 - 1.91274e7i) q^{55} +(2.59110e6 + 3.45759e7i) q^{56} +(-1.45672e7 - 2.19565e6i) q^{57} +(1.27736e7 - 1.18522e7i) q^{58} +(7.64369e7 - 3.68101e7i) q^{59} +(4.62615e6 + 3.15406e6i) q^{60} +(3.73861e7 - 9.52583e7i) q^{61} +(6.25972e6 + 1.93087e6i) q^{62} +(-8.04672e7 - 7.46627e7i) q^{63} +(-5.02682e7 - 6.30343e7i) q^{64} +(3.40025e7 + 4.26378e7i) q^{65} +(-6.72669e6 - 6.24146e6i) q^{66} +(-7.60665e7 - 2.34634e7i) q^{67} +(5.16707e7 - 1.31655e8i) q^{68} +(4.58111e7 + 3.12335e7i) q^{69} +(1.25892e7 - 6.06266e6i) q^{70} +(2.92580e8 - 2.71475e8i) q^{71} +(-1.10502e8 - 1.66555e7i) q^{72} +(1.63652e7 + 2.18379e8i) q^{73} +(4.91832e7 + 1.25317e8i) q^{74} +(-1.18042e7 + 5.17175e7i) q^{75} +(1.77220e7 - 2.36483e8i) q^{76} +(2.87846e8 - 8.87889e7i) q^{77} +(2.19428e7 + 1.05671e7i) q^{78} +(-7.89209e7 - 1.36695e8i) q^{79} +(-4.13794e7 + 7.16712e7i) q^{80} +(2.78105e8 - 1.89609e8i) q^{81} +(3.64745e7 + 1.59805e8i) q^{82} +(-7.08842e8 + 1.06841e8i) q^{83} +(-5.11770e7 + 6.41739e7i) q^{84} -1.18325e8 q^{85} +(6.38825e7 - 1.18742e8i) q^{86} +8.56384e7 q^{87} +(1.91202e8 - 2.39759e8i) q^{88} +(1.60148e8 - 2.41384e7i) q^{89} +(1.00212e7 + 4.39058e7i) q^{90} +(-6.60570e8 + 4.50369e8i) q^{91} +(-4.46271e8 + 7.72964e8i) q^{92} +(1.60972e7 + 2.78811e7i) q^{93} +(-9.13313e7 - 4.39828e7i) q^{94} +(-1.89589e8 + 5.84804e7i) q^{95} +(-9.48127e6 + 1.26519e8i) q^{96} +(-1.03896e8 + 4.55197e8i) q^{97} +(-1.38327e7 - 3.52451e7i) q^{98} +(7.25526e7 + 9.68147e8i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.74995 4.70229i 0.165726 0.207814i −0.692033 0.721866i \(-0.743285\pi\)
0.857759 + 0.514052i \(0.171856\pi\)
\(3\) 29.2285 4.40549i 0.208335 0.0314014i −0.0440457 0.999030i \(-0.514025\pi\)
0.252380 + 0.967628i \(0.418787\pi\)
\(4\) 105.881 + 463.896i 0.206799 + 0.906047i
\(5\) 328.917 224.252i 0.235354 0.160462i −0.439900 0.898047i \(-0.644986\pi\)
0.675254 + 0.737585i \(0.264034\pi\)
\(6\) 88.8898 153.962i 0.0280008 0.0484989i
\(7\) 2917.98 + 5054.09i 0.459347 + 0.795612i 0.998927 0.0463224i \(-0.0147501\pi\)
−0.539580 + 0.841935i \(0.681417\pi\)
\(8\) 5352.87 + 2577.81i 0.462043 + 0.222508i
\(9\) −17973.6 + 5544.13i −0.913156 + 0.281671i
\(10\) 178.926 2387.60i 0.00565813 0.0755025i
\(11\) 11485.7 50322.0i 0.236531 1.03631i −0.707566 0.706647i \(-0.750207\pi\)
0.944098 0.329665i \(-0.106936\pi\)
\(12\) 5138.45 + 13092.6i 0.0715346 + 0.182267i
\(13\) 10237.6 + 136611.i 0.0994149 + 1.32660i 0.794321 + 0.607499i \(0.207827\pi\)
−0.694906 + 0.719101i \(0.744554\pi\)
\(14\) 34708.1 + 5231.40i 0.241465 + 0.0363950i
\(15\) 8625.83 8003.60i 0.0439937 0.0408202i
\(16\) −187302. + 90200.0i −0.714501 + 0.344086i
\(17\) −245586. 167437.i −0.713153 0.486219i 0.151584 0.988444i \(-0.451563\pi\)
−0.864737 + 0.502225i \(0.832515\pi\)
\(18\) −41330.2 + 105308.i −0.0927985 + 0.236447i
\(19\) −476246. 146903.i −0.838379 0.258606i −0.154310 0.988023i \(-0.549315\pi\)
−0.684070 + 0.729417i \(0.739792\pi\)
\(20\) 138856. + 128839.i 0.194057 + 0.180058i
\(21\) 107554. + 134868.i 0.120681 + 0.151329i
\(22\) −193558. 242714.i −0.176161 0.220899i
\(23\) 1.37504e6 + 1.27585e6i 1.02457 + 0.950658i 0.998798 0.0490105i \(-0.0156068\pi\)
0.0257669 + 0.999668i \(0.491797\pi\)
\(24\) 167813. + 51763.5i 0.103247 + 0.0318473i
\(25\) −655659. + 1.67059e6i −0.335697 + 0.855343i
\(26\) 680774. + 464144.i 0.292162 + 0.199192i
\(27\) −1.02511e6 + 493665.i −0.371220 + 0.178770i
\(28\) −2.03561e6 + 1.88877e6i −0.625870 + 0.580722i
\(29\) 2.86487e6 + 431810.i 0.752167 + 0.113371i 0.513925 0.857835i \(-0.328191\pi\)
0.238242 + 0.971206i \(0.423429\pi\)
\(30\) −5288.81 70574.3i −0.00119210 0.0159075i
\(31\) 397917. + 1.01388e6i 0.0773865 + 0.197178i 0.964332 0.264697i \(-0.0852721\pi\)
−0.886945 + 0.461875i \(0.847177\pi\)
\(32\) −955118. + 4.18464e6i −0.161021 + 0.705478i
\(33\) 114016. 1.52144e6i 0.0167361 0.223327i
\(34\) −1.70827e6 + 526933.i −0.219231 + 0.0676239i
\(35\) 2.09316e6 + 1.00801e6i 0.235774 + 0.113543i
\(36\) −4.47498e6 7.75089e6i −0.444048 0.769113i
\(37\) −1.11916e7 + 1.93844e7i −0.981712 + 1.70038i −0.325989 + 0.945374i \(0.605697\pi\)
−0.655723 + 0.755002i \(0.727636\pi\)
\(38\) −2.47668e6 + 1.68857e6i −0.192683 + 0.131369i
\(39\) 901067. + 3.94783e6i 0.0623686 + 0.273255i
\(40\) 2.33873e6 352507.i 0.144448 0.0217720i
\(41\) −1.69923e7 + 2.13076e7i −0.939127 + 1.17763i 0.0447889 + 0.998996i \(0.485738\pi\)
−0.983916 + 0.178632i \(0.942833\pi\)
\(42\) 1.03751e6 0.0514484
\(43\) 2.20579e7 4.00520e6i 0.983912 0.178655i
\(44\) 2.45603e7 0.987863
\(45\) −4.66856e6 + 5.85418e6i −0.169717 + 0.212819i
\(46\) 1.11557e7 1.68146e6i 0.367357 0.0553702i
\(47\) −3.75046e6 1.64318e7i −0.112110 0.491185i −0.999542 0.0302479i \(-0.990370\pi\)
0.887433 0.460938i \(-0.152487\pi\)
\(48\) −5.07719e6 + 3.46157e6i −0.138051 + 0.0941213i
\(49\) 3.14761e6 5.45183e6i 0.0780008 0.135101i
\(50\) 5.39692e6 + 9.34775e6i 0.122118 + 0.211515i
\(51\) −7.91575e6 3.81203e6i −0.163842 0.0789024i
\(52\) −6.22893e7 + 1.92137e7i −1.18140 + 0.364415i
\(53\) 2.71565e6 3.62378e7i 0.0472750 0.630841i −0.922367 0.386314i \(-0.873748\pi\)
0.969642 0.244527i \(-0.0786328\pi\)
\(54\) −1.52274e6 + 6.67157e6i −0.0243699 + 0.106772i
\(55\) −7.50697e6 1.91274e7i −0.110620 0.281854i
\(56\) 2.59110e6 + 3.45759e7i 0.0352078 + 0.469815i
\(57\) −1.45672e7 2.19565e6i −0.182784 0.0275503i
\(58\) 1.27736e7 1.18522e7i 0.148214 0.137522i
\(59\) 7.64369e7 3.68101e7i 0.821238 0.395487i 0.0244162 0.999702i \(-0.492227\pi\)
0.796822 + 0.604215i \(0.206513\pi\)
\(60\) 4.62615e6 + 3.15406e6i 0.0460829 + 0.0314188i
\(61\) 3.73861e7 9.52583e7i 0.345721 0.880884i −0.647223 0.762301i \(-0.724070\pi\)
0.992944 0.118583i \(-0.0378352\pi\)
\(62\) 6.25972e6 + 1.93087e6i 0.0538012 + 0.0165955i
\(63\) −8.04672e7 7.46627e7i −0.643556 0.597133i
\(64\) −5.02682e7 6.30343e7i −0.374527 0.469642i
\(65\) 3.40025e7 + 4.26378e7i 0.236266 + 0.296268i
\(66\) −6.72669e6 6.24146e6i −0.0436369 0.0404891i
\(67\) −7.60665e7 2.34634e7i −0.461166 0.142251i 0.0554622 0.998461i \(-0.482337\pi\)
−0.516628 + 0.856210i \(0.672813\pi\)
\(68\) 5.16707e7 1.31655e8i 0.293058 0.746700i
\(69\) 4.58111e7 + 3.12335e7i 0.243304 + 0.165882i
\(70\) 1.25892e7 6.06266e6i 0.0626698 0.0301802i
\(71\) 2.92580e8 2.71475e8i 1.36641 1.26785i 0.436681 0.899617i \(-0.356154\pi\)
0.929734 0.368231i \(-0.120037\pi\)
\(72\) −1.10502e8 1.66555e7i −0.484591 0.0730403i
\(73\) 1.63652e7 + 2.18379e8i 0.0674481 + 0.900032i 0.923612 + 0.383328i \(0.125222\pi\)
−0.856164 + 0.516704i \(0.827159\pi\)
\(74\) 4.91832e7 + 1.25317e8i 0.190666 + 0.485810i
\(75\) −1.18042e7 + 5.17175e7i −0.0430784 + 0.188739i
\(76\) 1.77220e7 2.36483e8i 0.0609327 0.813091i
\(77\) 2.87846e8 8.87889e7i 0.933153 0.287839i
\(78\) 2.19428e7 + 1.05671e7i 0.0671223 + 0.0323244i
\(79\) −7.89209e7 1.36695e8i −0.227966 0.394849i 0.729239 0.684259i \(-0.239874\pi\)
−0.957205 + 0.289410i \(0.906541\pi\)
\(80\) −4.13794e7 + 7.16712e7i −0.112948 + 0.195632i
\(81\) 2.78105e8 1.89609e8i 0.717838 0.489414i
\(82\) 3.64745e7 + 1.59805e8i 0.0890897 + 0.390327i
\(83\) −7.08842e8 + 1.06841e8i −1.63945 + 0.247107i −0.903080 0.429472i \(-0.858700\pi\)
−0.736370 + 0.676579i \(0.763462\pi\)
\(84\) −5.11770e7 + 6.41739e7i −0.112155 + 0.140638i
\(85\) −1.18325e8 −0.245863
\(86\) 6.38825e7 1.18742e8i 0.125933 0.234078i
\(87\) 8.56384e7 0.160262
\(88\) 1.91202e8 2.39759e8i 0.339875 0.426190i
\(89\) 1.60148e8 2.41384e7i 0.270562 0.0407807i −0.0123599 0.999924i \(-0.503934\pi\)
0.282922 + 0.959143i \(0.408696\pi\)
\(90\) 1.00212e7 + 4.39058e7i 0.0161001 + 0.0705393i
\(91\) −6.60570e8 + 4.50369e8i −1.00979 + 0.688465i
\(92\) −4.46271e8 + 7.72964e8i −0.649461 + 1.12490i
\(93\) 1.60972e7 + 2.78811e7i 0.0223139 + 0.0386489i
\(94\) −9.13313e7 4.39828e7i −0.120655 0.0581043i
\(95\) −1.89589e8 + 5.84804e7i −0.238812 + 0.0736638i
\(96\) −9.48127e6 + 1.26519e8i −0.0113932 + 0.152032i
\(97\) −1.03896e8 + 4.55197e8i −0.119158 + 0.522067i 0.879753 + 0.475430i \(0.157708\pi\)
−0.998912 + 0.0466372i \(0.985150\pi\)
\(98\) −1.38327e7 3.52451e7i −0.0151492 0.0385995i
\(99\) 7.25526e7 + 9.68147e8i 0.0759092 + 1.01294i
\(100\) −8.44404e8 1.27273e8i −0.844404 0.127273i
\(101\) 1.16488e9 1.08085e9i 1.11387 1.03352i 0.114679 0.993403i \(-0.463416\pi\)
0.999195 0.0401212i \(-0.0127744\pi\)
\(102\) −4.76090e7 + 2.29273e7i −0.0435500 + 0.0209726i
\(103\) 5.31733e8 + 3.62529e8i 0.465507 + 0.317377i 0.773260 0.634089i \(-0.218625\pi\)
−0.307753 + 0.951466i \(0.599577\pi\)
\(104\) −2.97356e8 + 7.57651e8i −0.249245 + 0.635066i
\(105\) 6.56208e7 + 2.02413e7i 0.0526854 + 0.0162513i
\(106\) −1.60217e8 1.48660e8i −0.123263 0.114371i
\(107\) 7.34785e8 + 9.21391e8i 0.541918 + 0.679543i 0.975101 0.221763i \(-0.0711810\pi\)
−0.433183 + 0.901306i \(0.642610\pi\)
\(108\) −3.37549e8 4.23273e8i −0.238742 0.299374i
\(109\) 2.11484e9 + 1.96228e9i 1.43502 + 1.33150i 0.856826 + 0.515605i \(0.172433\pi\)
0.578194 + 0.815899i \(0.303758\pi\)
\(110\) −1.18094e8 3.64271e7i −0.0769058 0.0237223i
\(111\) −2.41716e8 + 6.15882e8i −0.151130 + 0.385074i
\(112\) −1.00242e9 6.83440e8i −0.601962 0.410411i
\(113\) −1.45416e9 + 7.00287e8i −0.838995 + 0.404039i −0.803481 0.595330i \(-0.797021\pi\)
−0.0355141 + 0.999369i \(0.511307\pi\)
\(114\) −6.49508e7 + 6.02655e7i −0.0360174 + 0.0334193i
\(115\) 7.38385e8 + 1.11294e8i 0.393679 + 0.0593376i
\(116\) 1.03021e8 + 1.37472e9i 0.0528283 + 0.704944i
\(117\) −9.41395e8 2.39863e9i −0.464446 1.18339i
\(118\) 1.13543e8 4.97465e8i 0.0539128 0.236207i
\(119\) 1.29630e8 1.72979e9i 0.0592575 0.790737i
\(120\) 6.68047e7 2.06065e7i 0.0294098 0.00907171i
\(121\) −2.75943e8 1.32887e8i −0.117027 0.0563571i
\(122\) −3.07736e8 5.33015e8i −0.125765 0.217831i
\(123\) −4.02789e8 + 6.97651e8i −0.158674 + 0.274831i
\(124\) −4.28202e8 + 2.91943e8i −0.162649 + 0.110892i
\(125\) 3.31990e8 + 1.45454e9i 0.121627 + 0.532883i
\(126\) −6.52834e8 + 9.83989e7i −0.230747 + 0.0347795i
\(127\) 2.24718e9 2.81788e9i 0.766517 0.961182i −0.233421 0.972376i \(-0.574992\pi\)
0.999937 + 0.0111943i \(0.00356332\pi\)
\(128\) −2.68255e9 −0.883288
\(129\) 6.27075e8 2.14242e8i 0.199373 0.0681163i
\(130\) 3.28004e8 0.100724
\(131\) 3.71681e9 4.66073e9i 1.10268 1.38272i 0.186259 0.982501i \(-0.440364\pi\)
0.916421 0.400216i \(-0.131065\pi\)
\(132\) 7.17862e8 1.08200e8i 0.205806 0.0310203i
\(133\) −6.47218e8 2.83565e9i −0.179357 0.785814i
\(134\) −3.95578e8 + 2.69700e8i −0.105989 + 0.0722620i
\(135\) −2.26470e8 + 3.92257e8i −0.0586824 + 0.101641i
\(136\) −8.82967e8 1.52934e9i −0.221319 0.383336i
\(137\) 7.83878e8 + 3.77496e8i 0.190110 + 0.0915523i 0.526517 0.850164i \(-0.323498\pi\)
−0.336407 + 0.941717i \(0.609212\pi\)
\(138\) 3.18659e8 9.82932e7i 0.0747945 0.0230711i
\(139\) −6.01636e8 + 8.02828e9i −0.136700 + 1.82413i 0.334828 + 0.942279i \(0.391322\pi\)
−0.471528 + 0.881851i \(0.656297\pi\)
\(140\) −2.45987e8 + 1.07774e9i −0.0541173 + 0.237103i
\(141\) −1.82011e8 4.63756e8i −0.0387803 0.0988105i
\(142\) −1.79392e8 2.39382e9i −0.0370259 0.494076i
\(143\) 6.99211e9 + 1.05389e9i 1.39829 + 0.210758i
\(144\) 2.86642e9 2.65965e9i 0.555532 0.515458i
\(145\) 1.03914e9 5.00423e8i 0.195217 0.0940116i
\(146\) 1.08825e9 + 7.41957e8i 0.198217 + 0.135142i
\(147\) 6.79822e7 1.73216e8i 0.0120079 0.0305956i
\(148\) −1.01773e10 3.13929e9i −1.74364 0.537841i
\(149\) −4.95442e9 4.59703e9i −0.823482 0.764080i 0.151003 0.988533i \(-0.451750\pi\)
−0.974485 + 0.224454i \(0.927940\pi\)
\(150\) 1.98926e8 + 2.49445e8i 0.0320834 + 0.0402313i
\(151\) −1.78552e9 2.23898e9i −0.279492 0.350472i 0.622194 0.782863i \(-0.286241\pi\)
−0.901686 + 0.432391i \(0.857670\pi\)
\(152\) −2.17060e9 2.01402e9i −0.329825 0.306033i
\(153\) 5.34236e9 + 1.64790e9i 0.788174 + 0.243119i
\(154\) 6.61900e8 1.68649e9i 0.0948307 0.241625i
\(155\) 3.58246e8 + 2.44248e8i 0.0498526 + 0.0339890i
\(156\) −1.73598e9 + 8.36003e8i −0.234684 + 0.113018i
\(157\) 6.49184e9 6.02355e9i 0.852746 0.791232i −0.126911 0.991914i \(-0.540506\pi\)
0.979656 + 0.200682i \(0.0643157\pi\)
\(158\) −9.38730e8 1.41491e8i −0.119835 0.0180622i
\(159\) −8.02709e7 1.07114e9i −0.00996027 0.132911i
\(160\) 6.24260e8 + 1.59059e9i 0.0753053 + 0.191875i
\(161\) −2.43592e9 + 1.06725e10i −0.285724 + 1.25184i
\(162\) 1.51285e8 2.01876e9i 0.0172575 0.230285i
\(163\) 1.13806e10 3.51046e9i 1.26276 0.389511i 0.410134 0.912025i \(-0.365482\pi\)
0.852631 + 0.522514i \(0.175006\pi\)
\(164\) −1.16837e10 5.62658e9i −1.26120 0.607361i
\(165\) −3.03683e8 5.25995e8i −0.0318965 0.0552464i
\(166\) −2.15573e9 + 3.73383e9i −0.220347 + 0.381653i
\(167\) 5.83491e8 3.97817e8i 0.0580510 0.0395785i −0.533947 0.845518i \(-0.679292\pi\)
0.591998 + 0.805940i \(0.298339\pi\)
\(168\) 2.28058e8 + 9.99187e8i 0.0220878 + 0.0967732i
\(169\) −8.07164e9 + 1.21660e9i −0.761152 + 0.114725i
\(170\) −4.43715e8 + 5.56401e8i −0.0407459 + 0.0510937i
\(171\) 9.37433e9 0.838412
\(172\) 4.19352e9 + 9.80850e9i 0.365343 + 0.854525i
\(173\) −7.52578e8 −0.0638769 −0.0319384 0.999490i \(-0.510168\pi\)
−0.0319384 + 0.999490i \(0.510168\pi\)
\(174\) 3.21140e8 4.02697e8i 0.0265597 0.0333048i
\(175\) −1.03565e10 + 1.56099e9i −0.834723 + 0.125814i
\(176\) 2.38775e9 + 1.04614e10i 0.187578 + 0.821833i
\(177\) 2.07197e9 1.41265e9i 0.158673 0.108182i
\(178\) 4.87042e8 8.43582e8i 0.0363644 0.0629850i
\(179\) −2.96226e9 5.13079e9i −0.215668 0.373547i 0.737811 0.675007i \(-0.235859\pi\)
−0.953479 + 0.301460i \(0.902526\pi\)
\(180\) −3.21005e9 1.54588e9i −0.227921 0.109761i
\(181\) 9.32487e9 2.87634e9i 0.645787 0.199199i 0.0454759 0.998965i \(-0.485520\pi\)
0.600311 + 0.799766i \(0.295043\pi\)
\(182\) −3.59340e8 + 4.79505e9i −0.0242764 + 0.323946i
\(183\) 6.73082e8 2.94897e9i 0.0443648 0.194375i
\(184\) 4.07151e9 + 1.03740e10i 0.261864 + 0.667218i
\(185\) 6.65884e8 + 8.88560e9i 0.0417951 + 0.557717i
\(186\) 1.91469e8 + 2.88593e7i 0.0117298 + 0.00176798i
\(187\) −1.12465e10 + 1.04352e10i −0.672558 + 0.624043i
\(188\) 7.22556e9 3.47965e9i 0.421853 0.203154i
\(189\) −5.48626e9 3.74047e9i −0.312751 0.213230i
\(190\) −4.35957e8 + 1.11080e9i −0.0242690 + 0.0618365i
\(191\) −3.78282e9 1.16684e9i −0.205667 0.0634399i 0.190210 0.981743i \(-0.439083\pi\)
−0.395877 + 0.918304i \(0.629559\pi\)
\(192\) −1.74696e9 1.62094e9i −0.0927744 0.0860821i
\(193\) 1.70837e10 + 2.14223e10i 0.886286 + 1.11137i 0.993121 + 0.117090i \(0.0373567\pi\)
−0.106836 + 0.994277i \(0.534072\pi\)
\(194\) 1.75087e9 + 2.19552e9i 0.0887452 + 0.111283i
\(195\) 1.18169e9 + 1.09644e9i 0.0585256 + 0.0543038i
\(196\) 2.86236e9 + 8.82920e8i 0.138539 + 0.0427336i
\(197\) −7.56445e9 + 1.92739e10i −0.357832 + 0.911742i 0.632692 + 0.774404i \(0.281950\pi\)
−0.990524 + 0.137338i \(0.956145\pi\)
\(198\) 4.82458e9 + 3.28934e9i 0.223083 + 0.152095i
\(199\) −8.61059e9 + 4.14664e9i −0.389219 + 0.187438i −0.618251 0.785981i \(-0.712158\pi\)
0.229032 + 0.973419i \(0.426444\pi\)
\(200\) −7.81613e9 + 7.25231e9i −0.345427 + 0.320510i
\(201\) −2.32668e9 3.50691e8i −0.100544 0.0151545i
\(202\) −7.14232e8 9.53077e9i −0.0301827 0.402760i
\(203\) 6.17723e9 + 1.57393e10i 0.255306 + 0.650510i
\(204\) 9.30254e8 4.07571e9i 0.0376068 0.164766i
\(205\) −8.10772e8 + 1.08190e10i −0.0320632 + 0.427853i
\(206\) 3.69869e9 1.14090e9i 0.143102 0.0441412i
\(207\) −3.17879e10 1.53083e10i −1.20336 0.579508i
\(208\) −1.42398e10 2.46641e10i −0.527496 0.913649i
\(209\) −1.28624e10 + 2.22784e10i −0.466299 + 0.807654i
\(210\) 3.41256e8 2.32664e8i 0.0121086 0.00825549i
\(211\) −9.28772e9 4.06921e10i −0.322580 1.41332i −0.832944 0.553358i \(-0.813346\pi\)
0.510363 0.859959i \(-0.329511\pi\)
\(212\) 1.70981e10 2.57712e9i 0.581348 0.0876242i
\(213\) 7.35572e9 9.22378e9i 0.244859 0.307044i
\(214\) 7.08806e9 0.231029
\(215\) 6.35705e9 6.26391e9i 0.202900 0.199927i
\(216\) −6.75983e9 −0.211297
\(217\) −3.96311e9 + 4.96958e9i −0.121330 + 0.152143i
\(218\) 1.71578e10 2.58612e9i 0.514526 0.0775523i
\(219\) 1.44040e9 + 6.31080e9i 0.0423140 + 0.185390i
\(220\) 8.07830e9 5.50769e9i 0.232497 0.158514i
\(221\) 2.03596e10 3.52638e10i 0.574120 0.994406i
\(222\) 1.98964e9 + 3.44615e9i 0.0549775 + 0.0952239i
\(223\) −2.63030e10 1.26668e10i −0.712251 0.343002i 0.0424250 0.999100i \(-0.486492\pi\)
−0.754676 + 0.656098i \(0.772206\pi\)
\(224\) −2.39366e10 + 7.38345e9i −0.635251 + 0.195949i
\(225\) 2.52259e9 3.36617e10i 0.0656185 0.875618i
\(226\) −2.16008e9 + 9.46394e9i −0.0550785 + 0.241315i
\(227\) 2.31407e10 + 5.89617e10i 0.578444 + 1.47385i 0.857964 + 0.513710i \(0.171729\pi\)
−0.279520 + 0.960140i \(0.590175\pi\)
\(228\) −5.23838e8 6.99013e9i −0.0128378 0.171308i
\(229\) −5.84166e9 8.80488e8i −0.140371 0.0211575i 0.0784810 0.996916i \(-0.474993\pi\)
−0.218852 + 0.975758i \(0.570231\pi\)
\(230\) 3.29225e9 3.05476e9i 0.0775742 0.0719783i
\(231\) 8.02217e9 3.86328e9i 0.185369 0.0892692i
\(232\) 1.42222e10 + 9.69651e9i 0.322307 + 0.219745i
\(233\) 1.80694e10 4.60401e10i 0.401645 1.02337i −0.576803 0.816883i \(-0.695700\pi\)
0.978448 0.206492i \(-0.0662047\pi\)
\(234\) −1.48093e10 4.56805e9i −0.322896 0.0996001i
\(235\) −4.91846e9 4.56366e9i −0.105202 0.0976131i
\(236\) 2.51693e10 + 3.15613e10i 0.528162 + 0.662294i
\(237\) −2.90895e9 3.64771e9i −0.0598920 0.0751023i
\(238\) −7.64787e9 7.09619e9i −0.154506 0.143360i
\(239\) 5.02165e10 + 1.54897e10i 0.995534 + 0.307082i 0.749373 0.662148i \(-0.230355\pi\)
0.246160 + 0.969229i \(0.420831\pi\)
\(240\) −8.93712e8 + 2.27714e9i −0.0173879 + 0.0443036i
\(241\) −6.40072e10 4.36394e10i −1.22223 0.833301i −0.231994 0.972717i \(-0.574525\pi\)
−0.990234 + 0.139416i \(0.955477\pi\)
\(242\) −1.65965e9 + 7.99244e8i −0.0311062 + 0.0149799i
\(243\) 2.37099e10 2.19996e10i 0.436217 0.404750i
\(244\) 4.81485e10 + 7.25722e9i 0.869618 + 0.131074i
\(245\) −1.87278e8 2.49906e9i −0.00332078 0.0443128i
\(246\) 1.77012e9 + 4.51019e9i 0.0308173 + 0.0785212i
\(247\) 1.51929e10 6.65643e10i 0.259719 1.13790i
\(248\) −4.83579e8 + 6.45291e9i −0.00811773 + 0.108324i
\(249\) −2.02477e10 + 6.24560e9i −0.333795 + 0.102962i
\(250\) 8.08464e9 + 3.89336e9i 0.130897 + 0.0630368i
\(251\) 2.08208e10 + 3.60628e10i 0.331106 + 0.573492i 0.982729 0.185051i \(-0.0592450\pi\)
−0.651623 + 0.758543i \(0.725912\pi\)
\(252\) 2.61158e10 4.52338e10i 0.407944 0.706579i
\(253\) 7.99965e10 5.45407e10i 1.22752 0.836909i
\(254\) −4.82366e9 2.11338e10i −0.0727151 0.318586i
\(255\) −3.45848e9 + 5.21282e8i −0.0512218 + 0.00772044i
\(256\) 1.56779e10 1.96594e10i 0.228143 0.286083i
\(257\) −7.61610e10 −1.08901 −0.544507 0.838756i \(-0.683283\pi\)
−0.544507 + 0.838756i \(0.683283\pi\)
\(258\) 1.34407e9 3.75209e9i 0.0188858 0.0527211i
\(259\) −1.30627e11 −1.80379
\(260\) −1.61793e10 + 2.02882e10i −0.219573 + 0.275336i
\(261\) −5.38862e10 + 8.12204e9i −0.718779 + 0.108338i
\(262\) −7.97826e9 3.49551e10i −0.104605 0.458305i
\(263\) −1.76003e10 + 1.19997e10i −0.226840 + 0.154657i −0.671407 0.741089i \(-0.734310\pi\)
0.444567 + 0.895745i \(0.353357\pi\)
\(264\) 4.53229e9 7.85015e9i 0.0574248 0.0994627i
\(265\) −7.23317e9 1.25282e10i −0.0900994 0.156057i
\(266\) −1.57611e10 7.59014e9i −0.193027 0.0929571i
\(267\) 4.57455e9 1.41106e9i 0.0550869 0.0169920i
\(268\) 2.83057e9 3.77713e10i 0.0335172 0.447255i
\(269\) −3.29947e10 + 1.44559e11i −0.384201 + 1.68329i 0.299951 + 0.953955i \(0.403030\pi\)
−0.684152 + 0.729340i \(0.739827\pi\)
\(270\) 9.95256e8 + 2.53587e9i 0.0113972 + 0.0290396i
\(271\) 9.86820e8 + 1.31682e10i 0.0111141 + 0.148308i 1.00000 0.000369191i \(-0.000117517\pi\)
−0.988886 + 0.148677i \(0.952498\pi\)
\(272\) 6.11015e10 + 9.20958e9i 0.676850 + 0.102019i
\(273\) −1.73234e10 + 1.60738e10i −0.188756 + 0.175140i
\(274\) 4.71460e9 2.27043e9i 0.0505321 0.0243350i
\(275\) 7.65368e10 + 5.21819e10i 0.806999 + 0.550203i
\(276\) −9.63856e9 + 2.45586e10i −0.0999819 + 0.254750i
\(277\) 1.33901e11 + 4.13030e10i 1.36655 + 0.421524i 0.889332 0.457262i \(-0.151170\pi\)
0.477216 + 0.878786i \(0.341646\pi\)
\(278\) 3.54952e10 + 3.29348e10i 0.356425 + 0.330714i
\(279\) −1.27731e10 1.60169e10i −0.126205 0.158256i
\(280\) 8.60596e9 + 1.07915e10i 0.0836736 + 0.104923i
\(281\) −5.64082e10 5.23392e10i −0.539714 0.500782i 0.362550 0.931964i \(-0.381906\pi\)
−0.902265 + 0.431182i \(0.858097\pi\)
\(282\) −2.86325e9 8.83195e8i −0.0269611 0.00831640i
\(283\) −4.00270e10 + 1.01987e11i −0.370949 + 0.945163i 0.616518 + 0.787341i \(0.288543\pi\)
−0.987467 + 0.157823i \(0.949553\pi\)
\(284\) 1.56915e11 + 1.06983e11i 1.43130 + 0.975847i
\(285\) −5.28377e9 + 2.54453e9i −0.0474397 + 0.0228458i
\(286\) 3.11758e10 2.89269e10i 0.275531 0.255655i
\(287\) −1.57274e11 2.37052e10i −1.36832 0.206241i
\(288\) −6.03328e9 8.05086e10i −0.0516758 0.689566i
\(289\) −1.10480e10 2.81499e10i −0.0931633 0.237376i
\(290\) 1.54359e9 6.76291e9i 0.0128157 0.0561490i
\(291\) −1.03135e9 + 1.37625e10i −0.00843120 + 0.112506i
\(292\) −9.95724e10 + 3.07140e10i −0.801524 + 0.247237i
\(293\) −1.20878e10 5.82120e9i −0.0958174 0.0461432i 0.385361 0.922766i \(-0.374077\pi\)
−0.481179 + 0.876623i \(0.659791\pi\)
\(294\) −5.59581e8 9.69223e8i −0.00436818 0.00756590i
\(295\) 1.68867e10 2.92486e10i 0.129821 0.224857i
\(296\) −1.09876e11 + 7.49125e10i −0.831940 + 0.567207i
\(297\) 1.30682e10 + 5.72554e10i 0.0974565 + 0.426985i
\(298\) −4.01954e10 + 6.05848e9i −0.295259 + 0.0445031i
\(299\) −1.60218e11 + 2.00907e11i −1.15928 + 1.45370i
\(300\) −2.52414e10 −0.179915
\(301\) 8.46071e10 + 9.97954e10i 0.594097 + 0.700747i
\(302\) −1.72240e10 −0.119152
\(303\) 2.92861e10 3.67236e10i 0.199604 0.250296i
\(304\) 1.02453e11 1.54422e10i 0.688005 0.103700i
\(305\) −9.06492e9 3.97160e10i −0.0599811 0.262795i
\(306\) 2.77825e10 1.89418e10i 0.181145 0.123502i
\(307\) 8.39723e10 1.45444e11i 0.539527 0.934489i −0.459402 0.888228i \(-0.651936\pi\)
0.998929 0.0462603i \(-0.0147304\pi\)
\(308\) 7.16664e10 + 1.24130e11i 0.453772 + 0.785955i
\(309\) 1.71389e10 + 8.25366e9i 0.106947 + 0.0515031i
\(310\) 2.49193e9 7.68658e8i 0.0153253 0.00472722i
\(311\) −9.81232e9 + 1.30936e11i −0.0594771 + 0.793667i 0.885105 + 0.465392i \(0.154086\pi\)
−0.944582 + 0.328276i \(0.893533\pi\)
\(312\) −5.35346e9 + 2.34550e10i −0.0319844 + 0.140133i
\(313\) −3.23185e10 8.23461e10i −0.190327 0.484946i 0.803576 0.595202i \(-0.202928\pi\)
−0.993903 + 0.110256i \(0.964833\pi\)
\(314\) −3.98039e9 5.31146e10i −0.0231069 0.308340i
\(315\) −4.32103e10 6.51290e9i −0.247280 0.0372715i
\(316\) 5.50561e10 5.10846e10i 0.310609 0.288203i
\(317\) −2.10155e11 + 1.01205e11i −1.16889 + 0.562907i −0.914655 0.404236i \(-0.867538\pi\)
−0.254234 + 0.967143i \(0.581823\pi\)
\(318\) −5.33783e9 3.63927e9i −0.0292714 0.0199569i
\(319\) 5.46345e10 1.39206e11i 0.295399 0.752664i
\(320\) −3.06696e10 9.46033e9i −0.163506 0.0504349i
\(321\) 2.55359e10 + 2.36938e10i 0.134239 + 0.124555i
\(322\) 4.10505e10 + 5.14757e10i 0.212798 + 0.266840i
\(323\) 9.23622e10 + 1.15819e11i 0.472153 + 0.592062i
\(324\) 1.17405e11 + 1.08936e11i 0.591881 + 0.549185i
\(325\) −2.34933e11 7.24673e10i −1.16807 0.360302i
\(326\) 2.61696e10 6.66792e10i 0.128327 0.326972i
\(327\) 7.04585e10 + 4.80378e10i 0.340776 + 0.232337i
\(328\) −1.45885e11 + 7.02543e10i −0.695948 + 0.335151i
\(329\) 7.21041e10 6.69028e10i 0.339296 0.314821i
\(330\) −3.61218e9 5.44449e8i −0.0167671 0.00252723i
\(331\) 2.10965e10 + 2.81513e11i 0.0966016 + 1.28906i 0.809220 + 0.587506i \(0.199890\pi\)
−0.712618 + 0.701552i \(0.752491\pi\)
\(332\) −1.24616e11 3.17517e11i −0.562928 1.43432i
\(333\) 9.36839e10 4.10456e11i 0.417509 1.82923i
\(334\) 3.17410e8 4.23554e9i 0.00139560 0.0186230i
\(335\) −3.02813e10 + 9.34055e9i −0.131363 + 0.0405201i
\(336\) −3.23102e10 1.55598e10i −0.138297 0.0666004i
\(337\) −9.27108e10 1.60580e11i −0.391558 0.678198i 0.601097 0.799176i \(-0.294730\pi\)
−0.992655 + 0.120978i \(0.961397\pi\)
\(338\) −2.45474e10 + 4.25174e10i −0.102301 + 0.177191i
\(339\) −3.94179e10 + 2.68747e10i −0.162104 + 0.110521i
\(340\) −1.25285e10 5.48907e10i −0.0508443 0.222763i
\(341\) 5.55906e10 8.37894e9i 0.222642 0.0335579i
\(342\) 3.51533e10 4.40808e10i 0.138947 0.174234i
\(343\) 2.72241e11 1.06201
\(344\) 1.28398e11 + 3.54217e10i 0.494361 + 0.136382i
\(345\) 2.20722e10 0.0838804
\(346\) −2.82213e9 + 3.53884e9i −0.0105861 + 0.0132745i
\(347\) 1.59545e11 2.40476e10i 0.590746 0.0890407i 0.153136 0.988205i \(-0.451063\pi\)
0.437611 + 0.899164i \(0.355825\pi\)
\(348\) 9.06750e9 + 3.97273e10i 0.0331422 + 0.145205i
\(349\) 3.14187e11 2.14209e11i 1.13364 0.772901i 0.156958 0.987605i \(-0.449831\pi\)
0.976679 + 0.214705i \(0.0688789\pi\)
\(350\) −3.14962e10 + 5.45530e10i −0.112189 + 0.194318i
\(351\) −7.79345e10 1.34987e11i −0.274061 0.474688i
\(352\) 1.99609e11 + 9.61268e10i 0.693009 + 0.333736i
\(353\) −2.24891e11 + 6.93696e10i −0.770878 + 0.237784i −0.655152 0.755497i \(-0.727396\pi\)
−0.115726 + 0.993281i \(0.536919\pi\)
\(354\) 1.12712e9 1.50404e10i 0.00381466 0.0509031i
\(355\) 3.53559e10 1.54904e11i 0.118150 0.517650i
\(356\) 2.81544e10 + 7.17363e10i 0.0929013 + 0.236709i
\(357\) −3.83169e9 5.11303e10i −0.0124848 0.166599i
\(358\) −3.52348e10 5.31080e9i −0.113370 0.0170878i
\(359\) 6.18900e10 5.74256e10i 0.196651 0.182465i −0.575701 0.817660i \(-0.695271\pi\)
0.772352 + 0.635195i \(0.219080\pi\)
\(360\) −4.00811e10 + 1.93021e10i −0.125771 + 0.0605679i
\(361\) −6.13868e10 4.18528e10i −0.190236 0.129701i
\(362\) 2.14424e10 5.46345e10i 0.0656275 0.167216i
\(363\) −8.65084e9 2.66843e9i −0.0261504 0.00806633i
\(364\) −2.78866e11 2.58750e11i −0.832607 0.772546i
\(365\) 5.43547e10 + 6.81587e10i 0.160295 + 0.201003i
\(366\) −1.13429e10 1.42235e10i −0.0330414 0.0414326i
\(367\) 2.01896e11 + 1.87332e11i 0.580940 + 0.539033i 0.914966 0.403530i \(-0.132217\pi\)
−0.334027 + 0.942564i \(0.608408\pi\)
\(368\) −3.72629e11 1.14941e11i −1.05916 0.326708i
\(369\) 1.87281e11 4.77183e11i 0.525865 1.33988i
\(370\) 4.42797e10 + 3.01894e10i 0.122828 + 0.0837427i
\(371\) 1.91073e11 9.20159e10i 0.523621 0.252162i
\(372\) −1.12296e10 + 1.04195e10i −0.0304032 + 0.0282100i
\(373\) −3.94298e11 5.94309e10i −1.05471 0.158973i −0.401280 0.915956i \(-0.631435\pi\)
−0.653435 + 0.756983i \(0.726673\pi\)
\(374\) 6.89564e9 + 9.20159e10i 0.0182244 + 0.243187i
\(375\) 1.61116e10 + 4.10516e10i 0.0420724 + 0.107199i
\(376\) 2.22824e10 9.76255e10i 0.0574932 0.251894i
\(377\) −2.96606e10 + 3.95793e11i −0.0756212 + 1.00910i
\(378\) −3.81620e10 + 1.17714e10i −0.0961431 + 0.0296562i
\(379\) −2.46215e11 1.18571e11i −0.612970 0.295191i 0.101523 0.994833i \(-0.467628\pi\)
−0.714493 + 0.699643i \(0.753343\pi\)
\(380\) −4.72027e10 8.17575e10i −0.116129 0.201141i
\(381\) 5.32677e10 9.22624e10i 0.129510 0.224317i
\(382\) −1.96722e10 + 1.34123e10i −0.0472681 + 0.0322269i
\(383\) 1.48539e11 + 6.50791e11i 0.352732 + 1.54542i 0.770843 + 0.637025i \(0.219835\pi\)
−0.418110 + 0.908396i \(0.637307\pi\)
\(384\) −7.84069e10 + 1.18179e10i −0.184019 + 0.0277365i
\(385\) 7.47666e10 9.37543e10i 0.173434 0.217479i
\(386\) 1.64797e11 0.377838
\(387\) −3.74255e11 + 1.94280e11i −0.848142 + 0.440280i
\(388\) −2.22165e11 −0.497660
\(389\) 8.91430e10 1.11782e11i 0.197385 0.247513i −0.673282 0.739386i \(-0.735116\pi\)
0.870667 + 0.491873i \(0.163688\pi\)
\(390\) 9.58706e9 1.44502e9i 0.0209843 0.00316288i
\(391\) −1.24065e11 5.43563e11i −0.268443 1.17613i
\(392\) 3.09025e10 2.10690e10i 0.0661008 0.0450668i
\(393\) 8.81041e10 1.52601e11i 0.186307 0.322693i
\(394\) 6.22653e10 + 1.07847e11i 0.130171 + 0.225462i
\(395\) −5.66126e10 2.72632e10i −0.117011 0.0563494i
\(396\) −4.41438e11 + 1.36166e11i −0.902072 + 0.278252i
\(397\) −2.40994e10 + 3.21584e11i −0.0486910 + 0.649737i 0.918457 + 0.395522i \(0.129436\pi\)
−0.967148 + 0.254215i \(0.918183\pi\)
\(398\) −1.27906e10 + 5.60392e10i −0.0255515 + 0.111949i
\(399\) −3.14097e10 8.00306e10i −0.0620420 0.158080i
\(400\) −2.78810e10 3.72046e11i −0.0544551 0.726652i
\(401\) 2.27112e11 + 3.42316e10i 0.438622 + 0.0661116i 0.364641 0.931148i \(-0.381192\pi\)
0.0739805 + 0.997260i \(0.476430\pi\)
\(402\) −1.03740e10 + 9.62567e9i −0.0198120 + 0.0183829i
\(403\) −1.34433e11 + 6.47394e10i −0.253882 + 0.122263i
\(404\) 6.24743e11 + 4.25943e11i 1.16677 + 0.795490i
\(405\) 4.89534e10 1.24731e11i 0.0904139 0.230371i
\(406\) 9.71752e10 + 2.99746e10i 0.177496 + 0.0547503i
\(407\) 8.46919e11 + 7.85826e11i 1.52991 + 1.41955i
\(408\) −3.25453e10 4.08106e10i −0.0581458 0.0729125i
\(409\) −4.01329e10 5.03251e10i −0.0709163 0.0889262i 0.745108 0.666944i \(-0.232398\pi\)
−0.816024 + 0.578018i \(0.803826\pi\)
\(410\) 4.78338e10 + 4.43832e10i 0.0836002 + 0.0775696i
\(411\) 2.45747e10 + 7.58028e9i 0.0424814 + 0.0131038i
\(412\) −1.11875e11 + 2.85054e11i −0.191292 + 0.487405i
\(413\) 4.09082e11 + 2.78908e11i 0.691888 + 0.471721i
\(414\) −1.91187e11 + 9.20709e10i −0.319858 + 0.154036i
\(415\) −2.09191e11 + 1.94101e11i −0.346200 + 0.321226i
\(416\) −5.81445e11 8.76388e10i −0.951895 0.143475i
\(417\) 1.77836e10 + 2.37305e11i 0.0288010 + 0.384322i
\(418\) 5.65260e10 + 1.44026e11i 0.0905638 + 0.230753i
\(419\) −7.39704e10 + 3.24086e11i −0.117245 + 0.513685i 0.881865 + 0.471502i \(0.156288\pi\)
−0.999110 + 0.0421822i \(0.986569\pi\)
\(420\) −2.44187e9 + 3.25844e10i −0.00382913 + 0.0510962i
\(421\) 5.66951e11 1.74881e11i 0.879582 0.271315i 0.178109 0.984011i \(-0.443002\pi\)
0.701473 + 0.712696i \(0.252526\pi\)
\(422\) −2.26175e11 1.08920e11i −0.347167 0.167187i
\(423\) 1.58510e11 + 2.74547e11i 0.240727 + 0.416951i
\(424\) 1.07951e11 1.86976e11i 0.162210 0.280956i
\(425\) 4.40740e11 3.00491e11i 0.655288 0.446768i
\(426\) −1.57893e10 6.91775e10i −0.0232284 0.101770i
\(427\) 5.90536e11 8.90089e10i 0.859648 0.129571i
\(428\) −3.49630e11 + 4.38422e11i −0.503630 + 0.631532i
\(429\) 2.09012e11 0.297929
\(430\) −5.61609e9 5.33821e10i −0.00792184 0.0752987i
\(431\) −6.19420e11 −0.864645 −0.432322 0.901719i \(-0.642306\pi\)
−0.432322 + 0.901719i \(0.642306\pi\)
\(432\) 1.47476e11 1.84929e11i 0.203725 0.255463i
\(433\) −7.78604e11 + 1.17356e11i −1.06444 + 0.160439i −0.657832 0.753164i \(-0.728526\pi\)
−0.406608 + 0.913603i \(0.633288\pi\)
\(434\) 8.50695e9 + 3.72714e10i 0.0115099 + 0.0504280i
\(435\) 2.81679e10 1.92046e10i 0.0377184 0.0257160i
\(436\) −6.86374e11 + 1.18884e12i −0.909645 + 1.57555i
\(437\) −4.67432e11 8.09615e11i −0.613129 1.06197i
\(438\) 3.50767e10 + 1.68920e10i 0.0455392 + 0.0219305i
\(439\) −6.01816e11 + 1.85636e11i −0.773345 + 0.238545i −0.656218 0.754571i \(-0.727845\pi\)
−0.117127 + 0.993117i \(0.537369\pi\)
\(440\) 9.12302e9 1.21738e11i 0.0116038 0.154842i
\(441\) −2.63484e10 + 1.15440e11i −0.0331727 + 0.145339i
\(442\) −8.94733e10 2.27974e11i −0.111505 0.284109i
\(443\) −3.83013e10 5.11095e11i −0.0472494 0.630500i −0.969687 0.244352i \(-0.921425\pi\)
0.922437 0.386147i \(-0.126194\pi\)
\(444\) −3.11299e11 4.69207e10i −0.380149 0.0572983i
\(445\) 4.72624e10 4.38531e10i 0.0571341 0.0530127i
\(446\) −1.58198e11 + 7.61842e10i −0.189319 + 0.0911713i
\(447\) −1.65063e11 1.12538e11i −0.195553 0.133326i
\(448\) 1.71899e11 4.37992e11i 0.201615 0.513707i
\(449\) 4.97320e11 + 1.53403e11i 0.577468 + 0.178125i 0.569712 0.821845i \(-0.307055\pi\)
0.00775617 + 0.999970i \(0.497531\pi\)
\(450\) −1.48828e11 1.38092e11i −0.171091 0.158749i
\(451\) 8.77075e11 + 1.09982e12i 0.998257 + 1.25177i
\(452\) −4.78829e11 6.00433e11i −0.539582 0.676614i
\(453\) −6.20521e10 5.75759e10i −0.0692332 0.0642390i
\(454\) 3.64032e11 + 1.12289e11i 0.402150 + 0.124047i
\(455\) −1.16277e11 + 2.96268e11i −0.127187 + 0.324066i
\(456\) −7.23162e10 4.93044e10i −0.0783238 0.0534003i
\(457\) 2.35428e11 1.13376e11i 0.252484 0.121590i −0.303361 0.952876i \(-0.598109\pi\)
0.555846 + 0.831286i \(0.312395\pi\)
\(458\) −2.60463e10 + 2.41674e10i −0.0276599 + 0.0256646i
\(459\) 3.34409e11 + 5.04041e10i 0.351658 + 0.0530040i
\(460\) 2.65525e10 + 3.54318e11i 0.0276500 + 0.368963i
\(461\) 1.70929e10 + 4.35521e10i 0.0176263 + 0.0449112i 0.939416 0.342779i \(-0.111368\pi\)
−0.921790 + 0.387690i \(0.873273\pi\)
\(462\) 1.19165e10 5.22097e10i 0.0121692 0.0533166i
\(463\) −9.96211e10 + 1.32935e12i −0.100748 + 1.34439i 0.686219 + 0.727395i \(0.259269\pi\)
−0.786967 + 0.616995i \(0.788350\pi\)
\(464\) −5.75546e11 + 1.77532e11i −0.576433 + 0.177806i
\(465\) 1.15470e10 + 5.56075e9i 0.0114533 + 0.00551563i
\(466\) −1.48735e11 2.57616e11i −0.146109 0.253067i
\(467\) −4.17311e11 + 7.22804e11i −0.406007 + 0.703225i −0.994438 0.105322i \(-0.966413\pi\)
0.588431 + 0.808548i \(0.299746\pi\)
\(468\) 1.01304e12 6.90680e11i 0.976160 0.665534i
\(469\) −1.03374e11 4.52913e11i −0.0986586 0.432252i
\(470\) −3.99037e10 + 6.01451e9i −0.0377201 + 0.00568539i
\(471\) 1.63210e11 2.04659e11i 0.152811 0.191619i
\(472\) 5.04046e11 0.467446
\(473\) 5.18000e10 1.15600e12i 0.0475833 1.06190i
\(474\) −2.80611e10 −0.0255330
\(475\) 5.57670e11 6.99296e11i 0.502638 0.630289i
\(476\) 8.16168e11 1.23018e11i 0.728699 0.109834i
\(477\) 1.52097e11 + 6.66380e11i 0.134520 + 0.589372i
\(478\) 2.61147e11 1.78047e11i 0.228802 0.155994i
\(479\) 1.70452e11 2.95232e11i 0.147943 0.256244i −0.782524 0.622620i \(-0.786068\pi\)
0.930467 + 0.366376i \(0.119402\pi\)
\(480\) 2.52535e10 + 4.37404e10i 0.0217138 + 0.0376095i
\(481\) −2.76269e12 1.33044e12i −2.35331 1.13330i
\(482\) −4.45229e11 + 1.37335e11i −0.375727 + 0.115896i
\(483\) −2.41809e10 + 3.22672e11i −0.0202167 + 0.269773i
\(484\) 3.24286e10 1.42079e11i 0.0268611 0.117686i
\(485\) 6.79057e10 + 1.73021e11i 0.0557274 + 0.141991i
\(486\) −1.45374e10 1.93989e11i −0.0118202 0.157730i
\(487\) 1.42337e12 + 2.14538e11i 1.14667 + 0.172832i 0.694766 0.719236i \(-0.255508\pi\)
0.451900 + 0.892068i \(0.350746\pi\)
\(488\) 4.45681e11 4.13531e11i 0.355742 0.330080i
\(489\) 3.17174e11 1.52743e11i 0.250846 0.120801i
\(490\) −1.24536e10 8.49071e9i −0.00975915 0.00665368i
\(491\) 2.32522e11 5.92457e11i 0.180550 0.460034i −0.811733 0.584029i \(-0.801475\pi\)
0.992283 + 0.123995i \(0.0395706\pi\)
\(492\) −3.66285e11 1.12984e11i −0.281823 0.0869309i
\(493\) −6.31270e11 5.85733e11i −0.481287 0.446569i
\(494\) −2.56032e11 3.21054e11i −0.193430 0.242553i
\(495\) 2.40973e11 + 3.02170e11i 0.180403 + 0.226218i
\(496\) −1.65982e11 1.54009e11i −0.123139 0.114256i
\(497\) 2.22580e12 + 6.86569e11i 1.63637 + 0.504754i
\(498\) −4.65594e10 + 1.18632e11i −0.0339215 + 0.0864307i
\(499\) −3.09763e11 2.11193e11i −0.223654 0.152485i 0.446309 0.894879i \(-0.352738\pi\)
−0.669964 + 0.742394i \(0.733690\pi\)
\(500\) −6.39606e11 + 3.08018e11i −0.457665 + 0.220400i
\(501\) 1.53020e10 1.41982e10i 0.0108512 0.0100685i
\(502\) 2.47655e11 + 3.73280e10i 0.174053 + 0.0262342i
\(503\) −1.37347e11 1.83277e12i −0.0956673 1.27659i −0.813989 0.580881i \(-0.802708\pi\)
0.718321 0.695711i \(-0.244911\pi\)
\(504\) −2.38265e11 6.07089e11i −0.164484 0.419097i
\(505\) 1.40766e11 6.16738e11i 0.0963137 0.421978i
\(506\) 4.35168e10 5.80692e11i 0.0295107 0.393793i
\(507\) −2.30562e11 + 7.11191e10i −0.154972 + 0.0478025i
\(508\) 1.54514e12 + 7.44099e11i 1.02939 + 0.495729i
\(509\) −7.82857e11 1.35595e12i −0.516955 0.895392i −0.999806 0.0196898i \(-0.993732\pi\)
0.482851 0.875702i \(-0.339601\pi\)
\(510\) −1.05179e10 + 1.82176e10i −0.00688437 + 0.0119241i
\(511\) −1.05595e12 + 7.19936e11i −0.685094 + 0.467089i
\(512\) −3.39278e11 1.48647e12i −0.218193 0.955965i
\(513\) 5.60723e11 8.45155e10i 0.357454 0.0538776i
\(514\) −2.85600e11 + 3.58131e11i −0.180478 + 0.226312i
\(515\) 2.56194e11 0.160486
\(516\) 1.65782e11 + 2.68214e11i 0.102947 + 0.166555i
\(517\) −8.69958e11 −0.535539
\(518\) −4.89846e11 + 6.14248e11i −0.298934 + 0.374852i
\(519\) −2.19967e10 + 3.31548e9i −0.0133078 + 0.00200582i
\(520\) 7.20991e10 + 3.15887e11i 0.0432429 + 0.189460i
\(521\) 4.23647e11 2.88837e11i 0.251903 0.171745i −0.430785 0.902455i \(-0.641763\pi\)
0.682688 + 0.730710i \(0.260811\pi\)
\(522\) −1.63879e11 + 2.83846e11i −0.0966062 + 0.167327i
\(523\) −3.37127e11 5.83920e11i −0.197031 0.341268i 0.750533 0.660833i \(-0.229797\pi\)
−0.947565 + 0.319564i \(0.896463\pi\)
\(524\) 2.55564e12 + 1.23073e12i 1.48084 + 0.713135i
\(525\) −2.95829e11 + 9.12511e10i −0.169951 + 0.0524229i
\(526\) −9.57429e9 + 1.27760e11i −0.00545344 + 0.0727711i
\(527\) 7.20381e10 3.15620e11i 0.0406832 0.178245i
\(528\) 1.15878e11 + 2.95253e11i 0.0648857 + 0.165326i
\(529\) 1.28339e11 + 1.71257e12i 0.0712539 + 0.950817i
\(530\) −8.60354e10 1.29677e10i −0.0473626 0.00713876i
\(531\) −1.16977e12 + 1.08539e12i −0.638521 + 0.592460i
\(532\) 1.24692e12 6.00484e11i 0.674894 0.325012i
\(533\) −3.08481e12 2.10319e12i −1.65560 1.12877i
\(534\) 1.05191e10 2.68023e10i 0.00559815 0.0142638i
\(535\) 4.48307e11 + 1.38284e11i 0.236583 + 0.0729762i
\(536\) −3.46690e11 3.21682e11i −0.181426 0.168339i
\(537\) −1.09186e11 1.36915e11i −0.0566610 0.0710506i
\(538\) 5.56031e11 + 6.97240e11i 0.286140 + 0.358808i
\(539\) −2.38194e11 2.21012e11i −0.121558 0.112789i
\(540\) −2.05945e11 6.35257e10i −0.104227 0.0321498i
\(541\) 5.03521e11 1.28295e12i 0.252714 0.643905i −0.747069 0.664747i \(-0.768539\pi\)
0.999783 + 0.0208417i \(0.00663461\pi\)
\(542\) 6.56213e10 + 4.47398e10i 0.0326624 + 0.0222688i
\(543\) 2.59881e11 1.25152e11i 0.128285 0.0617787i
\(544\) 9.35229e11 8.67766e11i 0.457850 0.424822i
\(545\) 1.13565e12 + 1.71172e11i 0.551393 + 0.0831091i
\(546\) 1.06216e10 + 1.41736e11i 0.00511474 + 0.0682514i
\(547\) 7.12560e11 + 1.81557e12i 0.340313 + 0.867103i 0.993903 + 0.110255i \(0.0351667\pi\)
−0.653590 + 0.756848i \(0.726738\pi\)
\(548\) −9.21208e10 + 4.03608e11i −0.0436360 + 0.191182i
\(549\) −1.43840e11 + 1.91941e12i −0.0675779 + 0.901764i
\(550\) 5.32384e11 1.64219e11i 0.248081 0.0765228i
\(551\) −1.30095e12 6.26505e11i −0.601283 0.289563i
\(552\) 1.64707e11 + 2.85281e11i 0.0755069 + 0.130782i
\(553\) 4.60579e11 7.97746e11i 0.209431 0.362745i
\(554\) 6.96342e11 4.74758e11i 0.314071 0.214130i
\(555\) 5.86083e10 + 2.56780e11i 0.0262205 + 0.114879i
\(556\) −3.78799e12 + 5.70948e11i −1.68102 + 0.253373i
\(557\) −6.48812e11 + 8.13585e11i −0.285608 + 0.358141i −0.903852 0.427845i \(-0.859273\pi\)
0.618244 + 0.785986i \(0.287844\pi\)
\(558\) −1.23215e11 −0.0538033
\(559\) 7.72973e11 + 2.97234e12i 0.334820 + 1.28750i
\(560\) −4.82976e11 −0.207529
\(561\) −2.82746e11 + 3.54553e11i −0.120521 + 0.151129i
\(562\) −4.57643e11 + 6.89785e10i −0.193514 + 0.0291676i
\(563\) 3.77534e10 + 1.65408e11i 0.0158368 + 0.0693857i 0.982229 0.187687i \(-0.0600991\pi\)
−0.966392 + 0.257073i \(0.917242\pi\)
\(564\) 1.95863e11 1.33537e11i 0.0815073 0.0555707i
\(565\) −3.21258e11 + 5.56435e11i −0.132628 + 0.229719i
\(566\) 3.29474e11 + 5.70666e11i 0.134942 + 0.233727i
\(567\) 1.76980e12 + 8.52293e11i 0.719120 + 0.346310i
\(568\) 2.26596e12 6.98955e11i 0.913448 0.281761i
\(569\) 1.02146e11 1.36305e12i 0.0408524 0.545138i −0.938804 0.344453i \(-0.888064\pi\)
0.979656 0.200685i \(-0.0643166\pi\)
\(570\) −7.84877e9 + 3.43877e10i −0.00311433 + 0.0136448i
\(571\) 1.16184e12 + 2.96031e12i 0.457386 + 1.16540i 0.954631 + 0.297790i \(0.0962495\pi\)
−0.497246 + 0.867610i \(0.665655\pi\)
\(572\) 2.51438e11 + 3.35520e12i 0.0982082 + 1.31050i
\(573\) −1.15707e11 1.74400e10i −0.0448397 0.00675850i
\(574\) −7.01238e11 + 6.50654e11i −0.269626 + 0.250177i
\(575\) −3.03298e12 + 1.46061e12i −1.15708 + 0.557222i
\(576\) 1.25297e12 + 8.54262e11i 0.474286 + 0.323363i
\(577\) −6.54035e11 + 1.66645e12i −0.245646 + 0.625896i −0.999515 0.0311285i \(-0.990090\pi\)
0.753869 + 0.657024i \(0.228185\pi\)
\(578\) −1.73799e11 5.36099e10i −0.0647697 0.0199788i
\(579\) 5.93707e11 + 5.50879e11i 0.219542 + 0.203706i
\(580\) 3.42170e11 + 4.29068e11i 0.125550 + 0.157434i
\(581\) −2.60837e12 3.27079e12i −0.949678 1.19086i
\(582\) 6.08476e10 + 5.64583e10i 0.0219832 + 0.0203974i
\(583\) −1.79236e12 5.52871e11i −0.642566 0.198205i
\(584\) −4.75338e11 + 1.21114e12i −0.169100 + 0.430861i
\(585\) −8.47539e11 5.77842e11i −0.299198 0.203990i
\(586\) −7.27018e10 + 3.50114e10i −0.0254687 + 0.0122651i
\(587\) −7.97895e11 + 7.40339e11i −0.277380 + 0.257371i −0.806578 0.591127i \(-0.798683\pi\)
0.529199 + 0.848498i \(0.322493\pi\)
\(588\) 8.75522e10 + 1.31964e10i 0.0302043 + 0.00455257i
\(589\) −4.05656e10 5.41310e11i −0.0138880 0.185322i
\(590\) −7.42112e10 1.89087e11i −0.0252136 0.0642432i
\(591\) −1.36187e11 + 5.96674e11i −0.0459189 + 0.201184i
\(592\) 3.47737e11 4.64022e12i 0.116360 1.55271i
\(593\) −2.79720e11 + 8.62821e10i −0.0928917 + 0.0286533i −0.340853 0.940117i \(-0.610716\pi\)
0.247961 + 0.968770i \(0.420240\pi\)
\(594\) 3.18237e11 + 1.53255e11i 0.104885 + 0.0505097i
\(595\) −3.45271e11 5.98027e11i −0.112936 0.195612i
\(596\) 1.60796e12 2.78507e12i 0.521997 0.904125i
\(597\) −2.33407e11 + 1.59134e11i −0.0752020 + 0.0512718i
\(598\) 3.43913e11 + 1.50678e12i 0.109975 + 0.481831i
\(599\) −5.71207e11 + 8.60956e10i −0.181290 + 0.0273250i −0.239060 0.971005i \(-0.576839\pi\)
0.0577699 + 0.998330i \(0.481601\pi\)
\(600\) −1.96504e11 + 2.46408e11i −0.0619000 + 0.0776202i
\(601\) −4.67544e12 −1.46180 −0.730899 0.682485i \(-0.760899\pi\)
−0.730899 + 0.682485i \(0.760899\pi\)
\(602\) 7.86540e11 2.36191e10i 0.244083 0.00732959i
\(603\) 1.49728e12 0.461184
\(604\) 8.49600e11 1.06536e12i 0.259745 0.325711i
\(605\) −1.20563e11 + 1.81719e10i −0.0365858 + 0.00551443i
\(606\) −6.28637e10 2.75424e11i −0.0189353 0.0829612i
\(607\) −2.21734e12 + 1.51176e12i −0.662954 + 0.451994i −0.847476 0.530834i \(-0.821879\pi\)
0.184522 + 0.982828i \(0.440926\pi\)
\(608\) 1.06961e12 1.85261e12i 0.317437 0.549817i
\(609\) 2.49891e11 + 4.32824e11i 0.0736161 + 0.127507i
\(610\) −2.20749e11 1.06307e11i −0.0645528 0.0310870i
\(611\) 2.20637e12 6.80575e11i 0.640461 0.197556i
\(612\) −1.98799e11 + 2.65278e12i −0.0572838 + 0.764400i
\(613\) −2.68843e11 + 1.17788e12i −0.0769000 + 0.336921i −0.998713 0.0507133i \(-0.983851\pi\)
0.921813 + 0.387634i \(0.126708\pi\)
\(614\) −3.69030e11 9.40272e11i −0.104786 0.266991i
\(615\) 2.39654e10 + 3.19795e11i 0.00675532 + 0.0901435i
\(616\) 1.76969e12 + 2.66737e11i 0.495203 + 0.0746398i
\(617\) 2.21275e12 2.05313e12i 0.614681 0.570340i −0.310165 0.950683i \(-0.600384\pi\)
0.924846 + 0.380342i \(0.124194\pi\)
\(618\) 1.03081e11 4.96413e10i 0.0284270 0.0136897i
\(619\) 5.29862e11 + 3.61254e11i 0.145062 + 0.0989018i 0.633677 0.773598i \(-0.281545\pi\)
−0.488614 + 0.872500i \(0.662497\pi\)
\(620\) −7.53741e10 + 1.92050e11i −0.0204861 + 0.0521978i
\(621\) −2.03940e12 6.29072e11i −0.550289 0.169742i
\(622\) 5.78905e11 + 5.37146e11i 0.155078 + 0.143892i
\(623\) 5.89306e11 + 7.38967e11i 0.156727 + 0.196530i
\(624\) −5.24866e11 6.58161e11i −0.138586 0.173781i
\(625\) −2.13409e12 1.98015e12i −0.559440 0.519084i
\(626\) −5.08408e11 1.56823e11i −0.132321 0.0408156i
\(627\) −2.77803e11 + 7.07830e11i −0.0717848 + 0.182905i
\(628\) 3.48167e12 + 2.37376e12i 0.893241 + 0.609002i
\(629\) 5.99417e12 2.88664e12i 1.52687 0.735300i
\(630\) −1.92662e11 + 1.78764e11i −0.0487264 + 0.0452115i
\(631\) 2.92092e12 + 4.40259e11i 0.733480 + 0.110554i 0.505153 0.863030i \(-0.331436\pi\)
0.228327 + 0.973584i \(0.426674\pi\)
\(632\) −7.00801e10 9.35154e11i −0.0174730 0.233161i
\(633\) −4.50735e11 1.14845e12i −0.111585 0.284313i
\(634\) −3.12175e11 + 1.36773e12i −0.0767354 + 0.336200i
\(635\) 1.07222e11 1.43078e12i 0.0261700 0.349214i
\(636\) 4.88399e11 1.50651e11i 0.118364 0.0365103i
\(637\) 7.77002e11 + 3.74185e11i 0.186980 + 0.0900447i
\(638\) −4.49713e11 7.78925e11i −0.107459 0.186124i
\(639\) −3.75364e12 + 6.50150e12i −0.890633 + 1.54262i
\(640\) −8.82335e11 + 6.01566e11i −0.207885 + 0.141734i
\(641\) −1.14582e12 5.02016e12i −0.268074 1.17451i −0.912250 0.409633i \(-0.865657\pi\)
0.644176 0.764877i \(-0.277200\pi\)
\(642\) 2.07174e11 3.12264e10i 0.0481312 0.00725462i
\(643\) 2.59152e12 3.24966e12i 0.597867 0.749702i −0.387177 0.922006i \(-0.626550\pi\)
0.985044 + 0.172304i \(0.0551211\pi\)
\(644\) −5.20883e12 −1.19331
\(645\) 1.58212e11 2.11091e11i 0.0359931 0.0480231i
\(646\) 8.90967e11 0.201287
\(647\) 3.25965e11 4.08747e11i 0.0731310 0.0917034i −0.743920 0.668268i \(-0.767036\pi\)
0.817051 + 0.576565i \(0.195607\pi\)
\(648\) 1.97744e12 2.98051e11i 0.440570 0.0664053i
\(649\) −9.74427e11 4.26924e12i −0.215600 0.944604i
\(650\) −1.22175e12 + 8.32976e11i −0.268456 + 0.183030i
\(651\) −9.39423e10 + 1.62713e11i −0.0204997 + 0.0355065i
\(652\) 2.83349e12 + 4.90774e12i 0.614055 + 1.06357i
\(653\) 5.26955e12 + 2.53768e12i 1.13413 + 0.546170i 0.904231 0.427043i \(-0.140445\pi\)
0.229903 + 0.973214i \(0.426159\pi\)
\(654\) 4.90104e11 1.51177e11i 0.104758 0.0323136i
\(655\) 1.77344e11 2.36650e12i 0.0376471 0.502366i
\(656\) 1.26074e12 5.52367e12i 0.265802 1.16456i
\(657\) −1.50487e12 3.83433e12i −0.315104 0.802871i
\(658\) −4.42097e10 5.89937e11i −0.00919393 0.122684i
\(659\) −2.79516e12 4.21302e11i −0.577327 0.0870181i −0.146113 0.989268i \(-0.546676\pi\)
−0.431214 + 0.902250i \(0.641915\pi\)
\(660\) 2.11853e11 1.96571e11i 0.0434597 0.0403247i
\(661\) 8.38142e12 4.03628e12i 1.70770 0.822384i 0.715371 0.698745i \(-0.246258\pi\)
0.992327 0.123639i \(-0.0394566\pi\)
\(662\) 1.40287e12 + 9.56459e11i 0.283894 + 0.193555i
\(663\) 4.39726e11 1.12040e12i 0.0883834 0.225197i
\(664\) −4.06976e12 1.25535e12i −0.812479 0.250617i
\(665\) −8.48781e11 7.87553e11i −0.168305 0.156165i
\(666\) −1.57877e12 1.97972e12i −0.310947 0.389915i
\(667\) 3.38839e12 + 4.24890e12i 0.662867 + 0.831209i
\(668\) 2.46327e11 + 2.28558e11i 0.0478649 + 0.0444122i
\(669\) −8.24601e11 2.54356e11i −0.159157 0.0490935i
\(670\) −6.96315e10 + 1.77418e11i −0.0133496 + 0.0340143i
\(671\) −4.36418e12 2.97545e12i −0.831097 0.566632i
\(672\) −6.67103e11 + 3.21260e11i −0.126192 + 0.0607708i
\(673\) −6.01485e12 + 5.58096e12i −1.13020 + 1.04868i −0.131853 + 0.991269i \(0.542093\pi\)
−0.998351 + 0.0574064i \(0.981717\pi\)
\(674\) −1.10276e12 1.66214e11i −0.205830 0.0310239i
\(675\) −1.52593e11 2.03621e12i −0.0282922 0.377533i
\(676\) −1.41901e12 3.61559e12i −0.261352 0.665915i
\(677\) 1.77485e12 7.77611e12i 0.324722 1.42270i −0.504321 0.863516i \(-0.668257\pi\)
0.829043 0.559185i \(-0.188886\pi\)
\(678\) −2.14427e10 + 2.86133e11i −0.00389714 + 0.0520038i
\(679\) −2.60377e12 + 8.03157e11i −0.470098 + 0.145006i
\(680\) −6.33381e11 3.05020e11i −0.113599 0.0547065i
\(681\) 9.36125e11 + 1.62142e12i 0.166791 + 0.288890i
\(682\) 1.69062e11 2.92824e11i 0.0299238 0.0518295i
\(683\) −2.35182e12 + 1.60344e12i −0.413533 + 0.281942i −0.752162 0.658978i \(-0.770989\pi\)
0.338629 + 0.940920i \(0.390037\pi\)
\(684\) 9.92566e11 + 4.34872e12i 0.173383 + 0.759641i
\(685\) 3.42485e11 5.16213e10i 0.0594338 0.00895821i
\(686\) 1.02089e12 1.28015e12i 0.176003 0.220701i
\(687\) −1.74622e11 −0.0299085
\(688\) −3.77022e12 + 2.73980e12i −0.641533 + 0.466199i
\(689\) 4.97827e12 0.841573
\(690\) 8.27698e10 1.03790e11i 0.0139012 0.0174315i
\(691\) −1.01897e13 + 1.53585e12i −1.70025 + 0.256271i −0.926247 0.376917i \(-0.876984\pi\)
−0.773998 + 0.633188i \(0.781746\pi\)
\(692\) −7.96839e10 3.49118e11i −0.0132097 0.0578755i
\(693\) −4.68139e12 + 3.19172e12i −0.771037 + 0.525684i
\(694\) 4.85208e11 8.40406e11i 0.0793982 0.137522i
\(695\) 1.60247e12 + 2.77556e12i 0.260530 + 0.451251i
\(696\) 4.58411e11 + 2.20759e11i 0.0740481 + 0.0356597i
\(697\) 7.74076e12 2.38771e12i 1.24233 0.383207i
\(698\) 1.70913e11 2.28067e12i 0.0272537 0.363675i
\(699\) 3.25313e11 1.42529e12i 0.0515412 0.225817i
\(700\) −1.82070e12 4.63907e12i −0.286614 0.730280i
\(701\) 3.83280e11 + 5.11452e12i 0.0599495 + 0.799970i 0.943445 + 0.331530i \(0.107565\pi\)
−0.883495 + 0.468440i \(0.844816\pi\)
\(702\) −9.26997e11 1.39722e11i −0.144066 0.0217145i
\(703\) 8.17757e12 7.58768e12i 1.26277 1.17168i
\(704\) −3.74937e12 + 1.80560e12i −0.575283 + 0.277042i
\(705\) −1.63865e11 1.11721e11i −0.0249824 0.0170327i
\(706\) −5.17134e11 + 1.31764e12i −0.0783397 + 0.199606i
\(707\) 8.86183e12 + 2.73351e12i 1.33394 + 0.411466i
\(708\) 8.74705e11 + 8.11607e11i 0.130831 + 0.121394i
\(709\) −1.62014e12 2.03159e12i −0.240794 0.301946i 0.646720 0.762728i \(-0.276140\pi\)
−0.887513 + 0.460782i \(0.847569\pi\)
\(710\) −5.95823e11 7.47139e11i −0.0879943 0.110341i
\(711\) 2.17635e12 + 2.01936e12i 0.319386 + 0.296347i
\(712\) 9.19477e11 + 2.83621e11i 0.134085 + 0.0413598i
\(713\) −7.46402e11 + 1.90180e12i −0.108161 + 0.275589i
\(714\) −2.54798e11 1.73719e11i −0.0366906 0.0250152i
\(715\) 2.53616e12 1.22135e12i 0.362911 0.174769i
\(716\) 2.06651e12 1.91744e12i 0.293852 0.272655i
\(717\) 1.53600e12 + 2.31514e11i 0.217047 + 0.0327146i
\(718\) −3.79471e10 5.06368e11i −0.00532866 0.0711060i
\(719\) 4.42097e12 + 1.12644e13i 0.616932 + 1.57192i 0.807259 + 0.590197i \(0.200950\pi\)
−0.190327 + 0.981721i \(0.560955\pi\)
\(720\) 3.46383e11 1.51760e12i 0.0480353 0.210457i
\(721\) −2.80670e11 + 3.74528e12i −0.0386800 + 0.516149i
\(722\) −4.27002e11 + 1.31713e11i −0.0584807 + 0.0180389i
\(723\) −2.06309e12 9.93532e11i −0.280799 0.135226i
\(724\) 2.32165e12 + 4.02122e12i 0.314032 + 0.543920i
\(725\) −2.59976e12 + 4.50291e12i −0.349472 + 0.605303i
\(726\) −4.49880e10 + 3.06723e10i −0.00601010 + 0.00409762i
\(727\) 1.49097e12 + 6.53237e12i 0.197954 + 0.867294i 0.972152 + 0.234350i \(0.0752963\pi\)
−0.774198 + 0.632943i \(0.781847\pi\)
\(728\) −4.69691e12 + 7.07945e11i −0.619756 + 0.0934132i
\(729\) −3.53462e12 + 4.43227e12i −0.463520 + 0.581236i
\(730\) 5.24330e11 0.0683363
\(731\) −6.08772e12 2.70970e12i −0.788545 0.350988i
\(732\) 1.43928e12 0.185287
\(733\) −3.81631e12 + 4.78550e12i −0.488288 + 0.612294i −0.963543 0.267555i \(-0.913784\pi\)
0.475255 + 0.879848i \(0.342356\pi\)
\(734\) 1.63799e12 2.46888e11i 0.208295 0.0313955i
\(735\) −1.64835e10 7.22188e10i −0.00208332 0.00912761i
\(736\) −6.65230e12 + 4.53546e12i −0.835644 + 0.569733i
\(737\) −2.05440e12 + 3.55833e12i −0.256496 + 0.444265i
\(738\) −1.54156e12 2.67007e12i −0.191297 0.331336i
\(739\) 2.20556e11 + 1.06214e11i 0.0272031 + 0.0131003i 0.447436 0.894316i \(-0.352337\pi\)
−0.420233 + 0.907416i \(0.638052\pi\)
\(740\) −4.05149e12 + 1.24972e12i −0.496675 + 0.153204i
\(741\) 1.50817e11 2.01251e12i 0.0183767 0.245220i
\(742\) 2.83829e11 1.24354e12i 0.0343747 0.150606i
\(743\) 7.39438e11 + 1.88406e12i 0.0890128 + 0.226801i 0.968447 0.249220i \(-0.0801741\pi\)
−0.879434 + 0.476020i \(0.842079\pi\)
\(744\) 1.42939e10 + 1.90739e11i 0.00171031 + 0.0228225i
\(745\) −2.66048e12 4.01003e11i −0.316415 0.0476919i
\(746\) −1.75806e12 + 1.63124e12i −0.207830 + 0.192839i
\(747\) 1.21481e13 5.85023e12i 1.42747 0.687433i
\(748\) −6.03165e12 4.11231e12i −0.704497 0.480318i
\(749\) −2.51270e12 + 6.40227e12i −0.291725 + 0.743303i
\(750\) 2.53454e11 + 7.81803e10i 0.0292499 + 0.00902240i
\(751\)