Properties

Label 43.10.g.a.9.18
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 9.18
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.18

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.74995 + 4.70229i 0.165726 + 0.207814i 0.857759 0.514052i \(-0.171856\pi\)
−0.692033 + 0.721866i \(0.743285\pi\)
\(3\) 29.2285 + 4.40549i 0.208335 + 0.0314014i 0.252380 0.967628i \(-0.418787\pi\)
−0.0440457 + 0.999030i \(0.514025\pi\)
\(4\) 105.881 463.896i 0.206799 0.906047i
\(5\) 328.917 + 224.252i 0.235354 + 0.160462i 0.675254 0.737585i \(-0.264034\pi\)
−0.439900 + 0.898047i \(0.644986\pi\)
\(6\) 88.8898 + 153.962i 0.0280008 + 0.0484989i
\(7\) 2917.98 5054.09i 0.459347 0.795612i −0.539580 0.841935i \(-0.681417\pi\)
0.998927 + 0.0463224i \(0.0147501\pi\)
\(8\) 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 0.944098 + 0.329665i \(0.106936\pi\)
−0.707566 + 0.706647i \(0.750207\pi\)
\(12\) 5138.45 13092.6i 0.0715346 0.182267i
\(13\) 10237.6 136611.i 0.0994149 1.32660i −0.694906 0.719101i \(-0.744554\pi\)
0.794321 0.607499i \(-0.207827\pi\)
\(14\) 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 −0.864737 0.502225i \(-0.832515\pi\)
0.151584 + 0.988444i \(0.451563\pi\)
\(18\) −41330.2 105308.i −0.0927985 0.236447i
\(19\) −476246. + 146903.i −0.838379 + 0.258606i −0.684070 0.729417i \(-0.739792\pi\)
−0.154310 + 0.988023i \(0.549315\pi\)
\(20\) 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 0.0257669 0.999668i \(-0.491797\pi\)
0.998798 + 0.0490105i \(0.0156068\pi\)
\(24\) 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 0.238242 0.971206i \(-0.423429\pi\)
0.513925 + 0.857835i \(0.328191\pi\)
\(30\) −5288.81 + 70574.3i −0.00119210 + 0.0159075i
\(31\) 397917. 1.01388e6i 0.0773865 0.197178i −0.886945 0.461875i \(-0.847177\pi\)
0.964332 + 0.264697i \(0.0852721\pi\)
\(32\) −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 −0.655723 0.755002i \(-0.727636\pi\)
−0.325989 0.945374i \(-0.605697\pi\)
\(38\) −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 −0.983916 0.178632i \(-0.942833\pi\)
0.0447889 0.998996i \(-0.485738\pi\)
\(42\) 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 0.887433 + 0.460938i \(0.152487\pi\)
−0.999542 + 0.0302479i \(0.990370\pi\)
\(48\) −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 0.969642 + 0.244527i \(0.0786328\pi\)
−0.922367 + 0.386314i \(0.873748\pi\)
\(54\) −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 0.796822 0.604215i \(-0.206513\pi\)
0.0244162 + 0.999702i \(0.492227\pi\)
\(60\) 4.62615e6 3.15406e6i 0.0460829 0.0314188i
\(61\) 3.73861e7 + 9.52583e7i 0.345721 + 0.880884i 0.992944 + 0.118583i \(0.0378352\pi\)
−0.647223 + 0.762301i \(0.724070\pi\)
\(62\) 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 −0.516628 0.856210i \(-0.672813\pi\)
0.0554622 + 0.998461i \(0.482337\pi\)
\(68\) 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 0.929734 + 0.368231i \(0.120037\pi\)
0.436681 + 0.899617i \(0.356154\pi\)
\(72\) −1.10502e8 + 1.66555e7i −0.484591 + 0.0730403i
\(73\) 1.63652e7 2.18379e8i 0.0674481 0.900032i −0.856164 0.516704i \(-0.827159\pi\)
0.923612 0.383328i \(-0.125222\pi\)
\(74\) 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 −0.957205 0.289410i \(-0.906541\pi\)
0.729239 + 0.684259i \(0.239874\pi\)
\(80\) −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 −0.736370 0.676579i \(-0.763462\pi\)
−0.903080 + 0.429472i \(0.858700\pi\)
\(84\) −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 0.282922 0.959143i \(-0.408696\pi\)
−0.0123599 + 0.999924i \(0.503934\pi\)
\(90\) 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 −0.998912 0.0466372i \(-0.985150\pi\)
0.879753 0.475430i \(-0.157708\pi\)
\(98\) −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 0.999195 + 0.0401212i \(0.0127744\pi\)
0.114679 + 0.993403i \(0.463416\pi\)
\(102\) −4.76090e7 2.29273e7i −0.0435500 0.0209726i
\(103\) 5.31733e8 3.62529e8i 0.465507 0.317377i −0.307753 0.951466i \(-0.599577\pi\)
0.773260 + 0.634089i \(0.218625\pi\)
\(104\) −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 −0.433183 0.901306i \(-0.642610\pi\)
0.975101 + 0.221763i \(0.0711810\pi\)
\(108\) −3.37549e8 + 4.23273e8i −0.238742 + 0.299374i
\(109\) 2.11484e9 1.96228e9i 1.43502 1.33150i 0.578194 0.815899i \(-0.303758\pi\)
0.856826 0.515605i \(-0.172433\pi\)
\(110\) −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 −0.0355141 0.999369i \(-0.511307\pi\)
−0.803481 + 0.595330i \(0.797021\pi\)
\(114\) −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 0.999937 0.0111943i \(-0.00356332\pi\)
−0.233421 + 0.972376i \(0.574992\pi\)
\(128\) −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 0.916421 + 0.400216i \(0.131065\pi\)
0.186259 + 0.982501i \(0.440364\pi\)
\(132\) 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 −0.336407 0.941717i \(-0.609212\pi\)
0.526517 + 0.850164i \(0.323498\pi\)
\(138\) 3.18659e8 + 9.82932e7i 0.0747945 + 0.0230711i
\(139\) −6.01636e8 8.02828e9i −0.136700 1.82413i −0.471528 0.881851i \(-0.656297\pi\)
0.334828 0.942279i \(-0.391322\pi\)
\(140\) −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 −0.974485 0.224454i \(-0.927940\pi\)
0.151003 + 0.988533i \(0.451750\pi\)
\(150\) 1.98926e8 2.49445e8i 0.0320834 0.0402313i
\(151\) −1.78552e9 + 2.23898e9i −0.279492 + 0.350472i −0.901686 0.432391i \(-0.857670\pi\)
0.622194 + 0.782863i \(0.286241\pi\)
\(152\) −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 0.979656 0.200682i \(-0.0643157\pi\)
−0.126911 + 0.991914i \(0.540506\pi\)
\(158\) −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 0.852631 0.522514i \(-0.175006\pi\)
0.410134 + 0.912025i \(0.365482\pi\)
\(164\) −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 0.591998 0.805940i \(-0.298339\pi\)
−0.533947 + 0.845518i \(0.679292\pi\)
\(168\) 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 −0.953479 0.301460i \(-0.902526\pi\)
0.737811 + 0.675007i \(0.235859\pi\)
\(180\) −3.21005e9 + 1.54588e9i −0.227921 + 0.109761i
\(181\) 9.32487e9 + 2.87634e9i 0.645787 + 0.199199i 0.600311 0.799766i \(-0.295043\pi\)
0.0454759 + 0.998965i \(0.485520\pi\)
\(182\) −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 −0.395877 0.918304i \(-0.629559\pi\)
0.190210 + 0.981743i \(0.439083\pi\)
\(192\) −1.74696e9 + 1.62094e9i −0.0927744 + 0.0860821i
\(193\) 1.70837e10 2.14223e10i 0.886286 1.11137i −0.106836 0.994277i \(-0.534072\pi\)
0.993121 0.117090i \(-0.0373567\pi\)
\(194\) 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 −0.990524 0.137338i \(-0.956145\pi\)
0.632692 0.774404i \(-0.281950\pi\)
\(198\) 4.82458e9 3.28934e9i 0.223083 0.152095i
\(199\) −8.61059e9 4.14664e9i −0.389219 0.187438i 0.229032 0.973419i \(-0.426444\pi\)
−0.618251 + 0.785981i \(0.712158\pi\)
\(200\) −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 0.510363 + 0.859959i \(0.329511\pi\)
−0.832944 + 0.553358i \(0.813346\pi\)
\(212\) 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 −0.754676 0.656098i \(-0.772206\pi\)
0.0424250 + 0.999100i \(0.486492\pi\)
\(224\) −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 −0.279520 0.960140i \(-0.590175\pi\)
0.857964 0.513710i \(-0.171729\pi\)
\(228\) −5.23838e8 + 6.99013e9i −0.0128378 + 0.171308i
\(229\) −5.84166e9 + 8.80488e8i −0.140371 + 0.0211575i −0.218852 0.975758i \(-0.570231\pi\)
0.0784810 + 0.996916i \(0.474993\pi\)
\(230\) 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 0.978448 + 0.206492i \(0.0662047\pi\)
−0.576803 + 0.816883i \(0.695700\pi\)
\(234\) −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 0.246160 0.969229i \(-0.420831\pi\)
0.749373 + 0.662148i \(0.230355\pi\)
\(240\) −8.93712e8 2.27714e9i −0.0173879 0.0443036i
\(241\) −6.40072e10 + 4.36394e10i −1.22223 + 0.833301i −0.990234 0.139416i \(-0.955477\pi\)
−0.231994 + 0.972717i \(0.574525\pi\)
\(242\) −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 −0.651623 0.758543i \(-0.725912\pi\)
0.982729 + 0.185051i \(0.0592450\pi\)
\(252\) 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 0.444567 0.895745i \(-0.353357\pi\)
−0.671407 + 0.741089i \(0.734310\pi\)
\(264\) 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 −0.684152 0.729340i \(-0.739827\pi\)
0.299951 0.953955i \(-0.403030\pi\)
\(270\) 9.95256e8 2.53587e9i 0.0113972 0.0290396i
\(271\) 9.86820e8 1.31682e10i 0.0111141 0.148308i −0.988886 0.148677i \(-0.952498\pi\)
1.00000 0.000369191i \(0.000117517\pi\)
\(272\) 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 0.477216 0.878786i \(-0.341646\pi\)
0.889332 + 0.457262i \(0.151170\pi\)
\(278\) 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 −0.902265 0.431182i \(-0.858097\pi\)
0.362550 + 0.931964i \(0.381906\pi\)
\(282\) −2.86325e9 + 8.83195e8i −0.0269611 + 0.00831640i
\(283\) −4.00270e10 1.01987e11i −0.370949 0.945163i −0.987467 0.157823i \(-0.949553\pi\)
0.616518 0.787341i \(-0.288543\pi\)
\(284\) 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 −0.481179 0.876623i \(-0.659791\pi\)
0.385361 + 0.922766i \(0.374077\pi\)
\(294\) −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 0.998929 + 0.0462603i \(0.0147304\pi\)
−0.459402 + 0.888228i \(0.651936\pi\)
\(308\) 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 −0.944582 0.328276i \(-0.893533\pi\)
0.885105 0.465392i \(-0.154086\pi\)
\(312\) −5.35346e9 2.34550e10i −0.0319844 0.140133i
\(313\) −3.23185e10 + 8.23461e10i −0.190327 + 0.484946i −0.993903 0.110256i \(-0.964833\pi\)
0.803576 + 0.595202i \(0.202928\pi\)
\(314\) −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 −0.254234 0.967143i \(-0.581823\pi\)
−0.914655 + 0.404236i \(0.867538\pi\)
\(318\) −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 −0.712618 0.701552i \(-0.752491\pi\)
0.809220 0.587506i \(-0.199890\pi\)
\(332\) −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 −0.992655 0.120978i \(-0.961397\pi\)
0.601097 + 0.799176i \(0.294730\pi\)
\(338\) −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 0.437611 0.899164i \(-0.355825\pi\)
0.153136 + 0.988205i \(0.451063\pi\)
\(348\) 9.06750e9 3.97273e10i 0.0331422 0.145205i
\(349\) 3.14187e11 + 2.14209e11i 1.13364 + 0.772901i 0.976679 0.214705i \(-0.0688789\pi\)
0.156958 + 0.987605i \(0.449831\pi\)
\(350\) −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 −0.115726 0.993281i \(-0.536919\pi\)
−0.655152 + 0.755497i \(0.727396\pi\)
\(354\) 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 0.772352 0.635195i \(-0.219080\pi\)
−0.575701 + 0.817660i \(0.695271\pi\)
\(360\) −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 −0.334027 0.942564i \(-0.608408\pi\)
0.914966 + 0.403530i \(0.132217\pi\)
\(368\) −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 −0.653435 0.756983i \(-0.726673\pi\)
−0.401280 + 0.915956i \(0.631435\pi\)
\(374\) 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 −0.714493 0.699643i \(-0.753343\pi\)
0.101523 + 0.994833i \(0.467628\pi\)
\(380\) −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 −0.418110 0.908396i \(-0.637307\pi\)
0.770843 0.637025i \(-0.219835\pi\)
\(384\) −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 0.870667 0.491873i \(-0.163688\pi\)
−0.673282 + 0.739386i \(0.735116\pi\)
\(390\) 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 −0.967148 0.254215i \(-0.918183\pi\)
0.918457 0.395522i \(-0.129436\pi\)
\(398\) −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 0.0739805 0.997260i \(-0.476430\pi\)
0.364641 + 0.931148i \(0.381192\pi\)
\(402\) −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 −0.816024 0.578018i \(-0.803826\pi\)
0.745108 + 0.666944i \(0.232398\pi\)
\(410\) 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 −0.999110 0.0421822i \(-0.986569\pi\)
0.881865 0.471502i \(-0.156288\pi\)
\(420\) −2.44187e9 3.25844e10i −0.00382913 0.0510962i
\(421\) 5.66951e11 + 1.74881e11i 0.879582 + 0.271315i 0.701473 0.712696i \(-0.252526\pi\)
0.178109 + 0.984011i \(0.443002\pi\)
\(422\) −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 −0.406608 0.913603i \(-0.633288\pi\)
−0.657832 + 0.753164i \(0.728526\pi\)
\(434\) 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 −0.117127 0.993117i \(-0.537369\pi\)
−0.656218 + 0.754571i \(0.727845\pi\)
\(440\) 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 0.922437 + 0.386147i \(0.126194\pi\)
−0.969687 + 0.244352i \(0.921425\pi\)
\(444\) −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 0.00775617 0.999970i \(-0.497531\pi\)
0.569712 + 0.821845i \(0.307055\pi\)
\(450\) −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 0.555846 0.831286i \(-0.312395\pi\)
−0.303361 + 0.952876i \(0.598109\pi\)
\(458\) −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 −0.921790 0.387690i \(-0.873273\pi\)
0.939416 + 0.342779i \(0.111368\pi\)
\(462\) 1.19165e10 + 5.22097e10i 0.0121692 + 0.0533166i
\(463\) −9.96211e10 1.32935e12i −0.100748 1.34439i −0.786967 0.616995i \(-0.788350\pi\)
0.686219 0.727395i \(-0.259269\pi\)
\(464\) −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 0.588431 0.808548i \(-0.299746\pi\)
−0.994438 + 0.105322i \(0.966413\pi\)
\(468\) 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 0.930467 0.366376i \(-0.119402\pi\)
−0.782524 + 0.622620i \(0.786068\pi\)
\(480\) 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 0.451900 0.892068i \(-0.350746\pi\)
0.694766 + 0.719236i \(0.255508\pi\)
\(488\) 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 0.992283 0.123995i \(-0.0395706\pi\)
−0.811733 + 0.584029i \(0.801475\pi\)
\(492\) −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 −0.669964 0.742394i \(-0.733690\pi\)
0.446309 + 0.894879i \(0.352738\pi\)
\(500\) −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 0.718321 + 0.695711i \(0.244911\pi\)
−0.813989 + 0.580881i \(0.802708\pi\)
\(504\) −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 0.482851 + 0.875702i \(0.339601\pi\)
−0.999806 + 0.0196898i \(0.993732\pi\)
\(510\) −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 0.682688 0.730710i \(-0.260811\pi\)
−0.430785 + 0.902455i \(0.641763\pi\)
\(522\) −1.63879e11 2.83846e11i −0.0966062 0.167327i
\(523\) −3.37127e11 + 5.83920e11i −0.197031 + 0.341268i −0.947565 0.319564i \(-0.896463\pi\)
0.750533 + 0.660833i \(0.229797\pi\)
\(524\) 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 0.999783 0.0208417i \(-0.00663461\pi\)
−0.747069 + 0.664747i \(0.768539\pi\)
\(542\) 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 −0.653590 0.756848i \(-0.726738\pi\)
0.993903 0.110255i \(-0.0351667\pi\)
\(548\) −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 0.618244 0.785986i \(-0.287844\pi\)
−0.903852 + 0.427845i \(0.859273\pi\)
\(558\) −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 −0.966392 0.257073i \(-0.917242\pi\)
0.982229 + 0.187687i \(0.0600991\pi\)
\(564\) 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 0.979656 + 0.200685i \(0.0643166\pi\)
−0.938804 + 0.344453i \(0.888064\pi\)
\(570\) −7.84877e9 3.43877e10i −0.00311433 0.0136448i
\(571\) 1.16184e12 2.96031e12i 0.457386 1.16540i −0.497246 0.867610i \(-0.665655\pi\)
0.954631 0.297790i \(-0.0962495\pi\)
\(572\) 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 0.753869 0.657024i \(-0.228185\pi\)
−0.999515 + 0.0311285i \(0.990090\pi\)
\(578\) −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 0.529199 0.848498i \(-0.322493\pi\)
−0.806578 + 0.591127i \(0.798683\pi\)
\(588\) 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 0.247961 0.968770i \(-0.420240\pi\)
−0.340853 + 0.940117i \(0.610716\pi\)
\(594\) 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 0.0577699 0.998330i \(-0.481601\pi\)
−0.239060 + 0.971005i \(0.576839\pi\)
\(600\) −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 0.184522 0.982828i \(-0.440926\pi\)
−0.847476 + 0.530834i \(0.821879\pi\)
\(608\) 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 0.921813 0.387634i \(-0.126708\pi\)
−0.998713 + 0.0507133i \(0.983851\pi\)
\(614\) −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 0.924846 0.380342i \(-0.124194\pi\)
−0.310165 + 0.950683i \(0.600384\pi\)
\(618\) 1.03081e11 + 4.96413e10i 0.0284270 + 0.0136897i
\(619\) 5.29862e11 3.61254e11i 0.145062 0.0989018i −0.488614 0.872500i \(-0.662497\pi\)
0.633677 + 0.773598i \(0.281545\pi\)
\(620\) −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 0.228327 0.973584i \(-0.426674\pi\)
0.505153 + 0.863030i \(0.331436\pi\)
\(632\) −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 0.644176 + 0.764877i \(0.277200\pi\)
−0.912250 + 0.409633i \(0.865657\pi\)
\(642\) 2.07174e11 + 3.12264e10i 0.0481312 + 0.00725462i
\(643\) 2.59152e12 + 3.24966e12i 0.597867 + 0.749702i 0.985044 0.172304i \(-0.0551211\pi\)
−0.387177 + 0.922006i \(0.626550\pi\)
\(644\) −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 0.817051 0.576565i \(-0.195607\pi\)
−0.743920 + 0.668268i \(0.767036\pi\)
\(648\) 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 0.229903 0.973214i \(-0.426159\pi\)
0.904231 + 0.427043i \(0.140445\pi\)
\(654\) 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 −0.431214 0.902250i \(-0.641915\pi\)
−0.146113 + 0.989268i \(0.546676\pi\)
\(660\) 2.11853e11 + 1.96571e11i 0.0434597 + 0.0403247i
\(661\) 8.38142e12 + 4.03628e12i 1.70770 + 0.822384i 0.992327 + 0.123639i \(0.0394566\pi\)
0.715371 + 0.698745i \(0.246258\pi\)
\(662\) 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 −0.998351 0.0574064i \(-0.981717\pi\)
−0.131853 0.991269i \(-0.542093\pi\)
\(674\) −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 0.829043 + 0.559185i \(0.188886\pi\)
−0.504321 + 0.863516i \(0.668257\pi\)
\(678\) −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 0.338629 0.940920i \(-0.390037\pi\)
−0.752162 + 0.658978i \(0.770989\pi\)
\(684\) 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 −0.773998 0.633188i \(-0.781746\pi\)
−0.926247 + 0.376917i \(0.876984\pi\)
\(692\) −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 −0.883495 0.468440i \(-0.844816\pi\)
0.943445 0.331530i \(-0.107565\pi\)
\(702\) −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 −0.887513 0.460782i \(-0.847569\pi\)
0.646720 + 0.762728i \(0.276140\pi\)
\(710\) −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 −0.190327 0.981721i \(-0.560955\pi\)
0.807259 0.590197i \(-0.200950\pi\)
\(720\) 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 −0.774198 0.632943i \(-0.781847\pi\)
0.972152 0.234350i \(-0.0752963\pi\)
\(728\) −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 0.475255 0.879848i \(-0.342356\pi\)
−0.963543 + 0.267555i \(0.913784\pi\)
\(734\) 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 −0.420233 0.907416i \(-0.638052\pi\)
0.447436 + 0.894316i \(0.352337\pi\)
\(740\) −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 −0.879434 0.476020i \(-0.842079\pi\)
0.968447 + 0.249220i \(0.0801741\pi\)
\(744\) 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
\(751\) −5.56948e12