Properties

Label 43.11.d.a.37.22
Level 43
Weight 11
Character 43.37
Analytic conductor 27.320
Analytic rank 0
Dimension 72
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 11 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(27.3203618650\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 37.22
Character \(\chi\) \(=\) 43.37
Dual form 43.11.d.a.7.15

$q$-expansion

\(f(q)\) \(=\) \(q+19.4681i q^{2} +(-30.6608 - 17.7020i) q^{3} +644.993 q^{4} +(-4831.05 - 2789.21i) q^{5} +(344.625 - 596.908i) q^{6} +(9598.06 - 5541.44i) q^{7} +32492.1i q^{8} +(-28897.8 - 50052.4i) q^{9} +O(q^{10})\) \(q+19.4681i q^{2} +(-30.6608 - 17.7020i) q^{3} +644.993 q^{4} +(-4831.05 - 2789.21i) q^{5} +(344.625 - 596.908i) q^{6} +(9598.06 - 5541.44i) q^{7} +32492.1i q^{8} +(-28897.8 - 50052.4i) q^{9} +(54300.5 - 94051.3i) q^{10} -143396. q^{11} +(-19776.0 - 11417.7i) q^{12} +(230213. + 398741. i) q^{13} +(107881. + 186856. i) q^{14} +(98749.3 + 171039. i) q^{15} +27913.7 q^{16} +(1.10323e6 + 1.91085e6i) q^{17} +(974425. - 562585. i) q^{18} +(-51825.6 - 29921.5i) q^{19} +(-3.11599e6 - 1.79902e6i) q^{20} -392379. q^{21} -2.79164e6i q^{22} +(3.32423e6 - 5.75773e6i) q^{23} +(575177. - 996235. i) q^{24} +(1.06765e7 + 1.84923e7i) q^{25} +(-7.76274e6 + 4.48182e6i) q^{26} +4.13677e6i q^{27} +(6.19069e6 - 3.57419e6i) q^{28} +(-9.46606e6 + 5.46523e6i) q^{29} +(-3.32980e6 + 1.92246e6i) q^{30} +(-2.14827e7 + 3.72091e7i) q^{31} +3.38154e7i q^{32} +(4.39663e6 + 2.53839e6i) q^{33} +(-3.72006e7 + 2.14778e7i) q^{34} -6.18249e7 q^{35} +(-1.86389e7 - 3.22835e7i) q^{36} +(9.85635e7 + 5.69057e7i) q^{37} +(582514. - 1.00894e6i) q^{38} -1.63010e7i q^{39} +(9.06272e7 - 1.56971e8i) q^{40} -1.61920e8 q^{41} -7.63888e6i q^{42} +(-1.30451e8 + 6.77801e7i) q^{43} -9.24892e7 q^{44} +3.22407e8i q^{45} +(1.12092e8 + 6.47164e7i) q^{46} +970817. q^{47} +(-855858. - 494130. i) q^{48} +(-7.98225e7 + 1.38257e8i) q^{49} +(-3.60010e8 + 2.07852e8i) q^{50} -7.81177e7i q^{51} +(1.48486e8 + 2.57186e8i) q^{52} +(4.49349e7 - 7.78294e7i) q^{53} -8.05351e7 q^{54} +(6.92751e8 + 3.99960e8i) q^{55} +(1.80053e8 + 3.11861e8i) q^{56} +(1.05934e6 + 1.83484e6i) q^{57} +(-1.06398e8 - 1.84286e8i) q^{58} +8.85971e8 q^{59} +(6.36926e7 + 1.10319e8i) q^{60} +(-4.64590e7 + 2.68231e7i) q^{61} +(-7.24390e8 - 4.18227e8i) q^{62} +(-5.54725e8 - 3.20271e8i) q^{63} -6.29737e8 q^{64} -2.56845e9i q^{65} +(-4.94177e7 + 8.55939e7i) q^{66} +(9.98679e8 - 1.72976e9i) q^{67} +(7.11577e8 + 1.23249e9i) q^{68} +(-2.03847e8 + 1.17691e8i) q^{69} -1.20361e9i q^{70} +(-1.69517e9 + 9.78705e8i) q^{71} +(1.62631e9 - 9.38950e8i) q^{72} +(3.11574e9 - 1.79887e9i) q^{73} +(-1.10785e9 + 1.91884e9i) q^{74} -7.55986e8i q^{75} +(-3.34271e7 - 1.92992e7i) q^{76} +(-1.37632e9 + 7.94618e8i) q^{77} +3.17349e8 q^{78} +(1.28244e9 + 2.22126e9i) q^{79} +(-1.34853e8 - 7.78571e7i) q^{80} +(-1.63316e9 + 2.82871e9i) q^{81} -3.15228e9i q^{82} +(-1.99644e9 + 3.45794e9i) q^{83} -2.53082e8 q^{84} -1.23086e10i q^{85} +(-1.31955e9 - 2.53962e9i) q^{86} +3.86983e8 q^{87} -4.65922e9i q^{88} +(3.45856e9 + 1.99680e9i) q^{89} -6.27666e9 q^{90} +(4.41921e9 + 2.55143e9i) q^{91} +(2.14410e9 - 3.71370e9i) q^{92} +(1.31735e9 - 7.60574e8i) q^{93} +1.89000e7i q^{94} +(1.66914e8 + 2.89104e8i) q^{95} +(5.98601e8 - 1.03681e9i) q^{96} +1.75383e9 q^{97} +(-2.69159e9 - 1.55399e9i) q^{98} +(4.14381e9 + 7.17729e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} + O(q^{10}) \) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} - 127061q^{10} + 521524q^{11} - 606618q^{12} + 796742q^{13} - 865794q^{14} - 433513q^{15} + 22423366q^{16} - 1768471q^{17} - 11957547q^{18} - 122844q^{19} + 419841q^{20} - 26778860q^{21} + 16414886q^{23} + 8684578q^{24} + 70516989q^{25} + 3069q^{26} - 97624092q^{28} + 118701393q^{29} - 1455921q^{30} + 10824883q^{31} + 315141798q^{33} + 47529561q^{34} - 333788722q^{35} - 597728908q^{36} - 169881246q^{37} - 88887452q^{38} + 570788831q^{40} - 543049070q^{41} + 408159179q^{43} - 754130886q^{44} + 270181896q^{46} + 348527658q^{47} + 175039227q^{48} + 781091547q^{49} - 663244398q^{50} - 1853993086q^{52} + 219922736q^{53} + 3104867360q^{54} + 2154394182q^{55} + 2010912675q^{56} + 349107351q^{57} + 2023447828q^{58} + 2247595680q^{59} - 2906780465q^{60} + 508093974q^{61} - 3451752063q^{62} + 158921973q^{63} - 13473879716q^{64} + 1277847051q^{66} - 2812410281q^{67} + 13614613118q^{68} - 5113655829q^{69} + 2418191196q^{71} + 26243329290q^{72} - 6537901611q^{73} - 2632816966q^{74} - 10170994206q^{76} - 16936463889q^{77} - 24146069696q^{78} + 5397136602q^{79} + 7242149661q^{80} - 15745886176q^{81} + 4998656042q^{83} + 44726677232q^{84} - 27688564866q^{86} + 37895576172q^{87} - 12151857357q^{89} - 96024912764q^{90} + 36633770214q^{91} - 31643971023q^{92} + 59768940153q^{93} - 19802964089q^{95} - 3289705262q^{96} - 40329658574q^{97} + 19243888221q^{98} + 18506221111q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 19.4681i 0.608378i 0.952612 + 0.304189i \(0.0983854\pi\)
−0.952612 + 0.304189i \(0.901615\pi\)
\(3\) −30.6608 17.7020i −0.126176 0.0728479i 0.435583 0.900148i \(-0.356542\pi\)
−0.561760 + 0.827300i \(0.689875\pi\)
\(4\) 644.993 0.629876
\(5\) −4831.05 2789.21i −1.54594 0.892546i −0.998446 0.0557337i \(-0.982250\pi\)
−0.547490 0.836812i \(-0.684416\pi\)
\(6\) 344.625 596.908i 0.0443190 0.0767628i
\(7\) 9598.06 5541.44i 0.571075 0.329710i −0.186503 0.982454i \(-0.559716\pi\)
0.757579 + 0.652744i \(0.226382\pi\)
\(8\) 32492.1i 0.991581i
\(9\) −28897.8 50052.4i −0.489386 0.847642i
\(10\) 54300.5 94051.3i 0.543005 0.940513i
\(11\) −143396. −0.890373 −0.445187 0.895438i \(-0.646863\pi\)
−0.445187 + 0.895438i \(0.646863\pi\)
\(12\) −19776.0 11417.7i −0.0794754 0.0458852i
\(13\) 230213. + 398741.i 0.620032 + 1.07393i 0.989479 + 0.144675i \(0.0462137\pi\)
−0.369447 + 0.929252i \(0.620453\pi\)
\(14\) 107881. + 186856.i 0.200588 + 0.347429i
\(15\) 98749.3 + 171039.i 0.130040 + 0.225236i
\(16\) 27913.7 0.0266206
\(17\) 1.10323e6 + 1.91085e6i 0.777001 + 1.34581i 0.933663 + 0.358153i \(0.116593\pi\)
−0.156662 + 0.987652i \(0.550073\pi\)
\(18\) 974425. 562585.i 0.515687 0.297732i
\(19\) −51825.6 29921.5i −0.0209303 0.0120841i 0.489498 0.872004i \(-0.337180\pi\)
−0.510429 + 0.859920i \(0.670513\pi\)
\(20\) −3.11599e6 1.79902e6i −0.973748 0.562194i
\(21\) −392379. −0.0960748
\(22\) 2.79164e6i 0.541683i
\(23\) 3.32423e6 5.75773e6i 0.516478 0.894565i −0.483339 0.875433i \(-0.660576\pi\)
0.999817 0.0191323i \(-0.00609038\pi\)
\(24\) 575177. 996235.i 0.0722346 0.125114i
\(25\) 1.06765e7 + 1.84923e7i 1.09328 + 1.89361i
\(26\) −7.76274e6 + 4.48182e6i −0.653353 + 0.377214i
\(27\) 4.13677e6i 0.288299i
\(28\) 6.19069e6 3.57419e6i 0.359707 0.207677i
\(29\) −9.46606e6 + 5.46523e6i −0.461508 + 0.266452i −0.712678 0.701491i \(-0.752518\pi\)
0.251170 + 0.967943i \(0.419185\pi\)
\(30\) −3.32980e6 + 1.92246e6i −0.137029 + 0.0791136i
\(31\) −2.14827e7 + 3.72091e7i −0.750377 + 1.29969i 0.197262 + 0.980351i \(0.436795\pi\)
−0.947640 + 0.319341i \(0.896538\pi\)
\(32\) 3.38154e7i 1.00778i
\(33\) 4.39663e6 + 2.53839e6i 0.112344 + 0.0648618i
\(34\) −3.72006e7 + 2.14778e7i −0.818758 + 0.472710i
\(35\) −6.18249e7 −1.17713
\(36\) −1.86389e7 3.22835e7i −0.308253 0.533910i
\(37\) 9.85635e7 + 5.69057e7i 1.42137 + 0.820629i 0.996416 0.0845851i \(-0.0269565\pi\)
0.424955 + 0.905214i \(0.360290\pi\)
\(38\) 582514. 1.00894e6i 0.00735172 0.0127335i
\(39\) 1.63010e7i 0.180672i
\(40\) 9.06272e7 1.56971e8i 0.885032 1.53292i
\(41\) −1.61920e8 −1.39760 −0.698799 0.715318i \(-0.746282\pi\)
−0.698799 + 0.715318i \(0.746282\pi\)
\(42\) 7.63888e6i 0.0584498i
\(43\) −1.30451e8 + 6.77801e7i −0.887367 + 0.461063i
\(44\) −9.24892e7 −0.560825
\(45\) 3.22407e8i 1.74720i
\(46\) 1.12092e8 + 6.47164e7i 0.544234 + 0.314214i
\(47\) 970817. 0.00423300 0.00211650 0.999998i \(-0.499326\pi\)
0.00211650 + 0.999998i \(0.499326\pi\)
\(48\) −855858. 494130.i −0.00335889 0.00193925i
\(49\) −7.98225e7 + 1.38257e8i −0.282582 + 0.489447i
\(50\) −3.60010e8 + 2.07852e8i −1.15203 + 0.665126i
\(51\) 7.81177e7i 0.226412i
\(52\) 1.48486e8 + 2.57186e8i 0.390543 + 0.676441i
\(53\) 4.49349e7 7.78294e7i 0.107449 0.186108i −0.807287 0.590159i \(-0.799065\pi\)
0.914736 + 0.404051i \(0.132398\pi\)
\(54\) −8.05351e7 −0.175395
\(55\) 6.92751e8 + 3.99960e8i 1.37646 + 0.794699i
\(56\) 1.80053e8 + 3.11861e8i 0.326934 + 0.566267i
\(57\) 1.05934e6 + 1.83484e6i 0.00176061 + 0.00304946i
\(58\) −1.06398e8 1.84286e8i −0.162103 0.280771i
\(59\) 8.85971e8 1.23925 0.619626 0.784897i \(-0.287284\pi\)
0.619626 + 0.784897i \(0.287284\pi\)
\(60\) 6.36926e7 + 1.10319e8i 0.0819093 + 0.141871i
\(61\) −4.64590e7 + 2.68231e7i −0.0550073 + 0.0317585i −0.527251 0.849709i \(-0.676777\pi\)
0.472244 + 0.881468i \(0.343444\pi\)
\(62\) −7.24390e8 4.18227e8i −0.790704 0.456513i
\(63\) −5.54725e8 3.20271e8i −0.558953 0.322712i
\(64\) −6.29737e8 −0.586488
\(65\) 2.56845e9i 2.21363i
\(66\) −4.94177e7 + 8.55939e7i −0.0394605 + 0.0683476i
\(67\) 9.98679e8 1.72976e9i 0.739694 1.28119i −0.212939 0.977065i \(-0.568304\pi\)
0.952633 0.304122i \(-0.0983630\pi\)
\(68\) 7.11577e8 + 1.23249e9i 0.489415 + 0.847691i
\(69\) −2.03847e8 + 1.17691e8i −0.130334 + 0.0752486i
\(70\) 1.20361e9i 0.716138i
\(71\) −1.69517e9 + 9.78705e8i −0.939552 + 0.542451i −0.889820 0.456312i \(-0.849170\pi\)
−0.0497322 + 0.998763i \(0.515837\pi\)
\(72\) 1.62631e9 9.38950e8i 0.840506 0.485266i
\(73\) 3.11574e9 1.79887e9i 1.50296 0.867732i 0.502962 0.864309i \(-0.332244\pi\)
0.999994 0.00342323i \(-0.00108965\pi\)
\(74\) −1.10785e9 + 1.91884e9i −0.499253 + 0.864731i
\(75\) 7.55986e8i 0.318572i
\(76\) −3.34271e7 1.92992e7i −0.0131835 0.00761151i
\(77\) −1.37632e9 + 7.94618e8i −0.508470 + 0.293565i
\(78\) 3.17349e8 0.109917
\(79\) 1.28244e9 + 2.22126e9i 0.416776 + 0.721877i 0.995613 0.0935660i \(-0.0298266\pi\)
−0.578837 + 0.815443i \(0.696493\pi\)
\(80\) −1.34853e8 7.78571e7i −0.0411537 0.0237601i
\(81\) −1.63316e9 + 2.82871e9i −0.468384 + 0.811266i
\(82\) 3.15228e9i 0.850268i
\(83\) −1.99644e9 + 3.45794e9i −0.506835 + 0.877864i 0.493134 + 0.869953i \(0.335851\pi\)
−0.999969 + 0.00791031i \(0.997482\pi\)
\(84\) −2.53082e8 −0.0605153
\(85\) 1.23086e10i 2.77404i
\(86\) −1.31955e9 2.53962e9i −0.280500 0.539855i
\(87\) 3.86983e8 0.0776418
\(88\) 4.65922e9i 0.882877i
\(89\) 3.45856e9 + 1.99680e9i 0.619362 + 0.357589i 0.776621 0.629968i \(-0.216932\pi\)
−0.157258 + 0.987558i \(0.550266\pi\)
\(90\) −6.27666e9 −1.06296
\(91\) 4.41921e9 + 2.55143e9i 0.708170 + 0.408862i
\(92\) 2.14410e9 3.71370e9i 0.325317 0.563466i
\(93\) 1.31735e9 7.60574e8i 0.189360 0.109327i
\(94\) 1.89000e7i 0.00257526i
\(95\) 1.66914e8 + 2.89104e8i 0.0215713 + 0.0373626i
\(96\) 5.98601e8 1.03681e9i 0.0734144 0.127157i
\(97\) 1.75383e9 0.204235 0.102117 0.994772i \(-0.467438\pi\)
0.102117 + 0.994772i \(0.467438\pi\)
\(98\) −2.69159e9 1.55399e9i −0.297768 0.171917i
\(99\) 4.14381e9 + 7.17729e9i 0.435737 + 0.754718i
\(100\) 6.88630e9 + 1.19274e10i 0.688630 + 1.19274i
\(101\) −5.16254e9 8.94178e9i −0.491198 0.850779i 0.508751 0.860914i \(-0.330107\pi\)
−0.999949 + 0.0101345i \(0.996774\pi\)
\(102\) 1.52080e9 0.137744
\(103\) 7.60645e9 + 1.31748e10i 0.656139 + 1.13647i 0.981607 + 0.190913i \(0.0611448\pi\)
−0.325468 + 0.945553i \(0.605522\pi\)
\(104\) −1.29560e10 + 7.48012e9i −1.06488 + 0.614812i
\(105\) 1.89560e9 + 1.09443e9i 0.148525 + 0.0857512i
\(106\) 1.51519e9 + 8.74796e8i 0.113224 + 0.0653698i
\(107\) 5.71421e9 0.407415 0.203708 0.979032i \(-0.434701\pi\)
0.203708 + 0.979032i \(0.434701\pi\)
\(108\) 2.66819e9i 0.181593i
\(109\) −2.64303e9 + 4.57786e9i −0.171779 + 0.297529i −0.939042 0.343803i \(-0.888285\pi\)
0.767263 + 0.641332i \(0.221618\pi\)
\(110\) −7.78645e9 + 1.34865e10i −0.483478 + 0.837408i
\(111\) −2.01469e9 3.48955e9i −0.119562 0.207088i
\(112\) 2.67918e8 1.54682e8i 0.0152024 0.00877709i
\(113\) 1.20861e9i 0.0655988i 0.999462 + 0.0327994i \(0.0104422\pi\)
−0.999462 + 0.0327994i \(0.989558\pi\)
\(114\) −3.57208e7 + 2.06234e7i −0.00185522 + 0.00107111i
\(115\) −3.21190e10 + 1.85439e10i −1.59688 + 0.921960i
\(116\) −6.10554e9 + 3.52504e9i −0.290693 + 0.167832i
\(117\) 1.33053e10 2.30455e10i 0.606870 1.05113i
\(118\) 1.72482e10i 0.753933i
\(119\) 2.11777e10 + 1.22270e10i 0.887452 + 0.512371i
\(120\) −5.55741e9 + 3.20857e9i −0.223340 + 0.128945i
\(121\) −5.37515e9 −0.207235
\(122\) −5.22194e8 9.04467e8i −0.0193212 0.0334652i
\(123\) 4.96462e9 + 2.86632e9i 0.176344 + 0.101812i
\(124\) −1.38562e10 + 2.39996e10i −0.472645 + 0.818645i
\(125\) 6.46396e10i 2.11811i
\(126\) 6.23506e9 1.07994e10i 0.196331 0.340054i
\(127\) −6.12294e10 −1.85328 −0.926641 0.375947i \(-0.877318\pi\)
−0.926641 + 0.375947i \(0.877318\pi\)
\(128\) 2.23671e10i 0.650970i
\(129\) 5.19957e9 + 2.31045e8i 0.145552 + 0.00646767i
\(130\) 5.00029e10 1.34672
\(131\) 3.67620e10i 0.952889i −0.879205 0.476444i \(-0.841925\pi\)
0.879205 0.476444i \(-0.158075\pi\)
\(132\) 2.83579e9 + 1.63725e9i 0.0707628 + 0.0408549i
\(133\) −6.63233e8 −0.0159370
\(134\) 3.36752e10 + 1.94424e10i 0.779446 + 0.450013i
\(135\) 1.15383e10 1.99849e10i 0.257320 0.445691i
\(136\) −6.20876e10 + 3.58463e10i −1.33447 + 0.770459i
\(137\) 4.36822e10i 0.905111i 0.891736 + 0.452556i \(0.149488\pi\)
−0.891736 + 0.452556i \(0.850512\pi\)
\(138\) −2.29122e9 3.96851e9i −0.0457796 0.0792926i
\(139\) −9.58269e9 + 1.65977e10i −0.184677 + 0.319870i −0.943468 0.331464i \(-0.892457\pi\)
0.758790 + 0.651335i \(0.225791\pi\)
\(140\) −3.98767e10 −0.741444
\(141\) −2.97661e7 1.71854e7i −0.000534104 0.000308365i
\(142\) −1.90535e10 3.30017e10i −0.330015 0.571603i
\(143\) −3.30116e10 5.71777e10i −0.552060 0.956196i
\(144\) −8.06644e8 1.39715e9i −0.0130278 0.0225647i
\(145\) 6.09746e10 0.951282
\(146\) 3.50206e10 + 6.06574e10i 0.527909 + 0.914365i
\(147\) 4.89485e9 2.82604e9i 0.0713103 0.0411710i
\(148\) 6.35728e10 + 3.67038e10i 0.895288 + 0.516895i
\(149\) −6.50230e10 3.75410e10i −0.885392 0.511181i −0.0129597 0.999916i \(-0.504125\pi\)
−0.872433 + 0.488735i \(0.837459\pi\)
\(150\) 1.47176e10 0.193812
\(151\) 4.83084e10i 0.615373i 0.951488 + 0.307686i \(0.0995547\pi\)
−0.951488 + 0.307686i \(0.900445\pi\)
\(152\) 9.72213e8 1.68392e9i 0.0119824 0.0207541i
\(153\) 6.37618e10 1.10439e11i 0.760508 1.31724i
\(154\) −1.54697e10 2.67943e10i −0.178599 0.309342i
\(155\) 2.07568e11 1.19839e11i 2.32007 1.33949i
\(156\) 1.05140e10i 0.113801i
\(157\) −1.95768e10 + 1.13026e10i −0.205231 + 0.118490i −0.599093 0.800679i \(-0.704472\pi\)
0.393862 + 0.919169i \(0.371139\pi\)
\(158\) −4.32436e10 + 2.49667e10i −0.439174 + 0.253557i
\(159\) −2.75548e9 + 1.59088e9i −0.0271151 + 0.0156549i
\(160\) 9.43180e10 1.63364e11i 0.899487 1.55796i
\(161\) 7.36840e10i 0.681152i
\(162\) −5.50696e10 3.17944e10i −0.493556 0.284955i
\(163\) −1.49474e10 + 8.62986e9i −0.129905 + 0.0750008i −0.563544 0.826086i \(-0.690563\pi\)
0.433639 + 0.901087i \(0.357229\pi\)
\(164\) −1.04438e11 −0.880314
\(165\) −1.41602e10 2.45262e10i −0.115784 0.200544i
\(166\) −6.73195e10 3.88669e10i −0.534073 0.308347i
\(167\) −5.22283e10 + 9.04620e10i −0.402090 + 0.696440i −0.993978 0.109580i \(-0.965049\pi\)
0.591888 + 0.806020i \(0.298383\pi\)
\(168\) 1.27492e10i 0.0952659i
\(169\) −3.70673e10 + 6.42024e10i −0.268879 + 0.465712i
\(170\) 2.39624e11 1.68766
\(171\) 3.45866e9i 0.0236552i
\(172\) −8.41397e10 + 4.37177e10i −0.558932 + 0.290413i
\(173\) 2.56672e10 0.165633 0.0828166 0.996565i \(-0.473608\pi\)
0.0828166 + 0.996565i \(0.473608\pi\)
\(174\) 7.53382e9i 0.0472355i
\(175\) 2.04948e11 + 1.18327e11i 1.24869 + 0.720930i
\(176\) −4.00270e9 −0.0237023
\(177\) −2.71646e10 1.56835e10i −0.156364 0.0902769i
\(178\) −3.88739e10 + 6.73315e10i −0.217549 + 0.376806i
\(179\) 1.32226e11 7.63405e10i 0.719533 0.415422i −0.0950479 0.995473i \(-0.530300\pi\)
0.814581 + 0.580050i \(0.196967\pi\)
\(180\) 2.07951e11i 1.10052i
\(181\) 6.52591e10 + 1.13032e11i 0.335929 + 0.581847i 0.983663 0.180020i \(-0.0576163\pi\)
−0.647733 + 0.761867i \(0.724283\pi\)
\(182\) −4.96715e10 + 8.60335e10i −0.248743 + 0.430835i
\(183\) 1.89929e9 0.00925415
\(184\) 1.87081e11 + 1.08011e11i 0.887034 + 0.512129i
\(185\) −3.17443e11 5.49828e11i −1.46490 2.53728i
\(186\) 1.48069e10 + 2.56463e10i 0.0665120 + 0.115202i
\(187\) −1.58198e11 2.74008e11i −0.691821 1.19827i
\(188\) 6.26171e8 0.00266627
\(189\) 2.29237e10 + 3.97050e10i 0.0950551 + 0.164640i
\(190\) −5.62831e9 + 3.24951e9i −0.0227306 + 0.0131235i
\(191\) −6.46054e10 3.73000e10i −0.254157 0.146738i 0.367509 0.930020i \(-0.380211\pi\)
−0.621666 + 0.783282i \(0.713544\pi\)
\(192\) 1.93083e10 + 1.11476e10i 0.0740009 + 0.0427244i
\(193\) −3.50077e11 −1.30731 −0.653653 0.756794i \(-0.726765\pi\)
−0.653653 + 0.756794i \(0.726765\pi\)
\(194\) 3.41438e10i 0.124252i
\(195\) −4.54668e10 + 7.87509e10i −0.161258 + 0.279307i
\(196\) −5.14850e10 + 8.91746e10i −0.177992 + 0.308291i
\(197\) 1.68814e11 + 2.92395e11i 0.568955 + 0.985458i 0.996670 + 0.0815447i \(0.0259853\pi\)
−0.427715 + 0.903914i \(0.640681\pi\)
\(198\) −1.39728e11 + 8.06721e10i −0.459154 + 0.265093i
\(199\) 4.53184e11i 1.45214i −0.687620 0.726071i \(-0.741344\pi\)
0.687620 0.726071i \(-0.258656\pi\)
\(200\) −6.00854e11 + 3.46903e11i −1.87767 + 1.08407i
\(201\) −6.12407e10 + 3.53573e10i −0.186664 + 0.107770i
\(202\) 1.74079e11 1.00505e11i 0.517595 0.298834i
\(203\) −6.05705e10 + 1.04911e11i −0.175704 + 0.304328i
\(204\) 5.03854e10i 0.142611i
\(205\) 7.82246e11 + 4.51630e11i 2.16060 + 1.24742i
\(206\) −2.56487e11 + 1.48083e11i −0.691401 + 0.399180i
\(207\) −3.84251e11 −1.01103
\(208\) 6.42612e9 + 1.11304e10i 0.0165056 + 0.0285886i
\(209\) 7.43155e9 + 4.29061e9i 0.0186358 + 0.0107594i
\(210\) −2.13064e10 + 3.69038e10i −0.0521691 + 0.0903596i
\(211\) 2.49025e11i 0.595430i −0.954655 0.297715i \(-0.903776\pi\)
0.954655 0.297715i \(-0.0962244\pi\)
\(212\) 2.89827e10 5.01995e10i 0.0676798 0.117225i
\(213\) 6.93003e10 0.158066
\(214\) 1.11245e11i 0.247862i
\(215\) 8.19265e11 + 3.64044e10i 1.78333 + 0.0792431i
\(216\) −1.34413e11 −0.285872
\(217\) 4.76180e11i 0.989629i
\(218\) −8.91221e10 5.14547e10i −0.181010 0.104506i
\(219\) −1.27375e11 −0.252850
\(220\) 4.46820e11 + 2.57971e11i 0.866999 + 0.500562i
\(221\) −5.07957e11 + 8.79808e11i −0.963531 + 1.66888i
\(222\) 6.79349e10 3.92222e10i 0.125988 0.0727390i
\(223\) 6.97750e11i 1.26525i 0.774459 + 0.632624i \(0.218022\pi\)
−0.774459 + 0.632624i \(0.781978\pi\)
\(224\) 1.87386e11 + 3.24562e11i 0.332274 + 0.575516i
\(225\) 6.17056e11 1.06877e12i 1.07007 1.85342i
\(226\) −2.35294e10 −0.0399088
\(227\) −1.60356e10 9.25815e9i −0.0266045 0.0153601i 0.486639 0.873603i \(-0.338223\pi\)
−0.513243 + 0.858243i \(0.671556\pi\)
\(228\) 6.83269e8 + 1.18346e9i 0.00110896 + 0.00192078i
\(229\) −5.19658e11 9.00074e11i −0.825164 1.42923i −0.901794 0.432166i \(-0.857749\pi\)
0.0766298 0.997060i \(-0.475584\pi\)
\(230\) −3.61015e11 6.25296e11i −0.560900 0.971508i
\(231\) 5.62654e10 0.0855425
\(232\) −1.77577e11 3.07572e11i −0.264208 0.457622i
\(233\) −7.56557e11 + 4.36798e11i −1.10170 + 0.636064i −0.936666 0.350224i \(-0.886105\pi\)
−0.165030 + 0.986289i \(0.552772\pi\)
\(234\) 4.48652e11 + 2.59029e11i 0.639484 + 0.369206i
\(235\) −4.69007e9 2.70781e9i −0.00654394 0.00377815i
\(236\) 5.71446e11 0.780575
\(237\) 9.08074e10i 0.121445i
\(238\) −2.38036e11 + 4.12290e11i −0.311715 + 0.539906i
\(239\) −7.59732e10 + 1.31589e11i −0.0974251 + 0.168745i −0.910618 0.413249i \(-0.864394\pi\)
0.813193 + 0.581994i \(0.197727\pi\)
\(240\) 2.75646e9 + 4.77433e9i 0.00346175 + 0.00599592i
\(241\) 8.66067e11 5.00024e11i 1.06529 0.615043i 0.138397 0.990377i \(-0.455805\pi\)
0.926890 + 0.375333i \(0.122472\pi\)
\(242\) 1.04644e11i 0.126077i
\(243\) 3.11694e11 1.79957e11i 0.367872 0.212391i
\(244\) −2.99657e10 + 1.73007e10i −0.0346478 + 0.0200039i
\(245\) 7.71252e11 4.45283e11i 0.873707 0.504435i
\(246\) −5.58018e10 + 9.66516e10i −0.0619402 + 0.107284i
\(247\) 2.75533e10i 0.0299702i
\(248\) −1.20900e12 6.98017e11i −1.28875 0.744060i
\(249\) 1.22425e11 7.06822e10i 0.127901 0.0738437i
\(250\) 1.25841e12 1.28861
\(251\) −6.03327e11 1.04499e12i −0.605597 1.04893i −0.991957 0.126577i \(-0.959601\pi\)
0.386359 0.922348i \(-0.373732\pi\)
\(252\) −3.57794e11 2.06572e11i −0.352071 0.203268i
\(253\) −4.76679e11 + 8.25633e11i −0.459858 + 0.796497i
\(254\) 1.19202e12i 1.12750i
\(255\) −2.17886e11 + 3.77390e11i −0.202083 + 0.350018i
\(256\) −1.08030e12 −0.982524
\(257\) 1.89783e12i 1.69275i 0.532590 + 0.846374i \(0.321219\pi\)
−0.532590 + 0.846374i \(0.678781\pi\)
\(258\) −4.49800e9 + 1.01226e11i −0.00393479 + 0.0885507i
\(259\) 1.26136e12 1.08228
\(260\) 1.65663e12i 1.39431i
\(261\) 5.47096e11 + 3.15866e11i 0.451711 + 0.260796i
\(262\) 7.15685e11 0.579716
\(263\) −1.03811e12 5.99355e11i −0.825023 0.476327i 0.0271228 0.999632i \(-0.491365\pi\)
−0.852145 + 0.523305i \(0.824699\pi\)
\(264\) −8.24778e10 + 1.42856e11i −0.0643157 + 0.111398i
\(265\) −4.34165e11 + 2.50665e11i −0.332220 + 0.191807i
\(266\) 1.29119e10i 0.00969575i
\(267\) −7.06948e10 1.22447e11i −0.0520992 0.0902385i
\(268\) 6.44141e11 1.11569e12i 0.465916 0.806990i
\(269\) 4.57763e11 0.324997 0.162499 0.986709i \(-0.448045\pi\)
0.162499 + 0.986709i \(0.448045\pi\)
\(270\) 3.89069e11 + 2.24629e11i 0.271149 + 0.156548i
\(271\) −2.24542e11 3.88918e11i −0.153621 0.266080i 0.778935 0.627105i \(-0.215760\pi\)
−0.932556 + 0.361025i \(0.882427\pi\)
\(272\) 3.07953e10 + 5.33390e10i 0.0206842 + 0.0358262i
\(273\) −9.03310e10 1.56458e11i −0.0595695 0.103177i
\(274\) −8.50410e11 −0.550650
\(275\) −1.53097e12 2.65171e12i −0.973425 1.68602i
\(276\) −1.31480e11 + 7.59100e10i −0.0820946 + 0.0473973i
\(277\) 2.20677e12 + 1.27408e12i 1.35319 + 0.781262i 0.988694 0.149945i \(-0.0479096\pi\)
0.364491 + 0.931207i \(0.381243\pi\)
\(278\) −3.23126e11 1.86557e11i −0.194602 0.112354i
\(279\) 2.48321e12 1.46890
\(280\) 2.00882e12i 1.16722i
\(281\) −8.44173e11 + 1.46215e12i −0.481836 + 0.834565i −0.999783 0.0208480i \(-0.993363\pi\)
0.517946 + 0.855413i \(0.326697\pi\)
\(282\) 3.34568e8 5.79489e8i 0.000187603 0.000324937i
\(283\) −4.75338e11 8.23309e11i −0.261861 0.453556i 0.704876 0.709331i \(-0.251003\pi\)
−0.966736 + 0.255775i \(0.917669\pi\)
\(284\) −1.09337e12 + 6.31258e11i −0.591802 + 0.341677i
\(285\) 1.18189e10i 0.00628569i
\(286\) 1.11314e12 6.42673e11i 0.581728 0.335861i
\(287\) −1.55412e12 + 8.97273e11i −0.798134 + 0.460803i
\(288\) 1.69254e12 9.77189e11i 0.854233 0.493192i
\(289\) −1.42624e12 + 2.47032e12i −0.707462 + 1.22536i
\(290\) 1.18706e12i 0.578739i
\(291\) −5.37740e10 3.10465e10i −0.0257696 0.0148781i
\(292\) 2.00963e12 1.16026e12i 0.946676 0.546564i
\(293\) 1.66127e12 0.769310 0.384655 0.923060i \(-0.374320\pi\)
0.384655 + 0.923060i \(0.374320\pi\)
\(294\) 5.50176e10 + 9.52933e10i 0.0250475 + 0.0433836i
\(295\) −4.28017e12 2.47116e12i −1.91580 1.10609i
\(296\) −1.84899e12 + 3.20254e12i −0.813720 + 1.40940i
\(297\) 5.93195e11i 0.256694i
\(298\) 7.30853e11 1.26587e12i 0.310991 0.538653i
\(299\) 3.06113e12 1.28093
\(300\) 4.87606e11i 0.200661i
\(301\) −8.76472e11 + 1.37344e12i −0.354736 + 0.555876i
\(302\) −9.40473e11 −0.374379
\(303\) 3.65550e11i 0.143131i
\(304\) −1.44664e9 8.35220e8i −0.000557178 0.000321687i
\(305\) 2.99261e11 0.113384
\(306\) 2.15003e12 + 1.24132e12i 0.801378 + 0.462676i
\(307\) −2.46927e12 + 4.27691e12i −0.905477 + 1.56833i −0.0852015 + 0.996364i \(0.527153\pi\)
−0.820276 + 0.571968i \(0.806180\pi\)
\(308\) −8.87717e11 + 5.12523e11i −0.320273 + 0.184910i
\(309\) 5.38599e11i 0.191193i
\(310\) 2.33304e12 + 4.04094e12i 0.814918 + 1.41148i
\(311\) 1.20487e11 2.08689e11i 0.0414131 0.0717296i −0.844576 0.535436i \(-0.820147\pi\)
0.885989 + 0.463706i \(0.153481\pi\)
\(312\) 5.29654e11 0.179151
\(313\) −1.97192e12 1.13849e12i −0.656399 0.378972i 0.134505 0.990913i \(-0.457056\pi\)
−0.790904 + 0.611941i \(0.790389\pi\)
\(314\) −2.20041e11 3.81122e11i −0.0720867 0.124858i
\(315\) 1.78660e12 + 3.09449e12i 0.576070 + 0.997782i
\(316\) 8.27167e11 + 1.43270e12i 0.262517 + 0.454693i
\(317\) −2.07897e12 −0.649459 −0.324729 0.945807i \(-0.605273\pi\)
−0.324729 + 0.945807i \(0.605273\pi\)
\(318\) −3.09713e10 5.36439e10i −0.00952411 0.0164962i
\(319\) 1.35739e12 7.83690e11i 0.410914 0.237241i
\(320\) 3.04229e12 + 1.75647e12i 0.906673 + 0.523468i
\(321\) −1.75202e11 1.01153e11i −0.0514061 0.0296793i
\(322\) 1.43449e12 0.414398
\(323\) 1.32041e11i 0.0375575i
\(324\) −1.05337e12 + 1.82450e12i −0.295024 + 0.510997i
\(325\) −4.91577e12 + 8.51436e12i −1.35573 + 2.34820i
\(326\) −1.68007e11 2.90996e11i −0.0456288 0.0790314i
\(327\) 1.62075e11 9.35739e10i 0.0433488 0.0250274i
\(328\) 5.26114e12i 1.38583i
\(329\) 9.31796e9 5.37973e9i 0.00241736 0.00139566i
\(330\) 4.77478e11 2.75672e11i 0.122007 0.0704406i
\(331\) 3.85877e12 2.22786e12i 0.971201 0.560723i 0.0715988 0.997434i \(-0.477190\pi\)
0.899602 + 0.436710i \(0.143857\pi\)
\(332\) −1.28769e12 + 2.23035e12i −0.319243 + 0.552946i
\(333\) 6.57779e12i 1.60642i
\(334\) −1.76112e12 1.01678e12i −0.423699 0.244623i
\(335\) −9.64933e12 + 5.57105e12i −2.28704 + 1.32042i
\(336\) −1.09528e10 −0.00255757
\(337\) −2.22950e12 3.86160e12i −0.512929 0.888420i −0.999888 0.0149945i \(-0.995227\pi\)
0.486958 0.873425i \(-0.338106\pi\)
\(338\) −1.24990e12 7.21629e11i −0.283329 0.163580i
\(339\) 2.13949e10 3.70571e10i 0.00477873 0.00827701i
\(340\) 7.93894e12i 1.74730i
\(341\) 3.08052e12 5.33561e12i 0.668116 1.15721i
\(342\) −6.73335e10 −0.0143913
\(343\) 4.89997e12i 1.03210i
\(344\) −2.20232e12 4.23861e12i −0.457181 0.879896i
\(345\) 1.31306e12 0.268651
\(346\) 4.99691e11i 0.100768i
\(347\) 2.06920e12 + 1.19465e12i 0.411297 + 0.237462i 0.691347 0.722523i \(-0.257018\pi\)
−0.280050 + 0.959985i \(0.590351\pi\)
\(348\) 2.49601e11 0.0489047
\(349\) 2.05762e11 + 1.18797e11i 0.0397409 + 0.0229444i 0.519739 0.854325i \(-0.326029\pi\)
−0.479998 + 0.877270i \(0.659363\pi\)
\(350\) −2.30360e12 + 3.98995e12i −0.438598 + 0.759673i
\(351\) −1.64950e12 + 9.52341e11i −0.309612 + 0.178754i
\(352\) 4.84897e12i 0.897297i
\(353\) 2.75277e12 + 4.76794e12i 0.502223 + 0.869876i 0.999997 + 0.00256899i \(0.000817736\pi\)
−0.497774 + 0.867307i \(0.665849\pi\)
\(354\) 3.05328e11 5.28843e11i 0.0549225 0.0951285i
\(355\) 1.09192e13 1.93665
\(356\) 2.23075e12 + 1.28792e12i 0.390122 + 0.225237i
\(357\) −4.32885e11 7.49779e11i −0.0746503 0.129298i
\(358\) 1.48620e12 + 2.57418e12i 0.252734 + 0.437748i
\(359\) 4.91359e12 + 8.51059e12i 0.823999 + 1.42721i 0.902682 + 0.430309i \(0.141595\pi\)
−0.0786827 + 0.996900i \(0.525071\pi\)
\(360\) −1.04757e13 −1.73249
\(361\) −3.06374e12 5.30656e12i −0.499708 0.865520i
\(362\) −2.20052e12 + 1.27047e12i −0.353983 + 0.204372i
\(363\) 1.64806e11 + 9.51511e10i 0.0261482 + 0.0150966i
\(364\) 2.85036e12 + 1.64566e12i 0.446059 + 0.257532i
\(365\) −2.00697e13 −3.09796
\(366\) 3.69756e10i 0.00563002i
\(367\) 3.35803e12 5.81628e12i 0.504376 0.873604i −0.495611 0.868544i \(-0.665056\pi\)
0.999987 0.00506003i \(-0.00161066\pi\)
\(368\) 9.27915e10 1.60720e11i 0.0137489 0.0238139i
\(369\) 4.67914e12 + 8.10451e12i 0.683966 + 1.18466i
\(370\) 1.07041e13 6.18002e12i 1.54362 0.891212i
\(371\) 9.96016e11i 0.141709i
\(372\) 8.49684e11 4.90565e11i 0.119273 0.0688624i
\(373\) 3.45736e12 1.99611e12i 0.478851 0.276465i −0.241086 0.970504i \(-0.577504\pi\)
0.719938 + 0.694039i \(0.244170\pi\)
\(374\) 5.33440e12 3.07982e12i 0.729001 0.420889i
\(375\) −1.14425e12 + 1.98190e12i −0.154300 + 0.267255i
\(376\) 3.15439e10i 0.00419736i
\(377\) −4.35843e12 2.51634e12i −0.572299 0.330417i
\(378\) −7.72981e11 + 4.46281e11i −0.100164 + 0.0578294i
\(379\) −7.92771e12 −1.01380 −0.506899 0.862005i \(-0.669208\pi\)
−0.506899 + 0.862005i \(0.669208\pi\)
\(380\) 1.07659e11 + 1.86470e11i 0.0135872 + 0.0235338i
\(381\) 1.87735e12 + 1.08389e12i 0.233840 + 0.135008i
\(382\) 7.26159e11 1.25774e12i 0.0892719 0.154624i
\(383\) 8.16545e11i 0.0990800i 0.998772 + 0.0495400i \(0.0157755\pi\)
−0.998772 + 0.0495400i \(0.984224\pi\)
\(384\) 3.95944e11 6.85795e11i 0.0474218 0.0821369i
\(385\) 8.86542e12 1.04808
\(386\) 6.81534e12i 0.795337i
\(387\) 7.16229e12 + 4.57067e12i 0.825082 + 0.526532i
\(388\) 1.13121e12 0.128643
\(389\) 1.23737e13i 1.38915i −0.719419 0.694577i \(-0.755592\pi\)
0.719419 0.694577i \(-0.244408\pi\)
\(390\) −1.53313e12 8.85153e11i −0.169924 0.0981059i
\(391\) 1.46696e13 1.60521
\(392\) −4.49225e12 2.59360e12i −0.485326 0.280203i
\(393\) −6.50762e11 + 1.12715e12i −0.0694159 + 0.120232i
\(394\) −5.69237e12 + 3.28649e12i −0.599531 + 0.346139i
\(395\) 1.43080e13i 1.48797i
\(396\) 2.67273e12 + 4.62931e12i 0.274460 + 0.475379i
\(397\) 5.90816e12 1.02332e13i 0.599100 1.03767i −0.393854 0.919173i \(-0.628858\pi\)
0.992954 0.118499i \(-0.0378083\pi\)
\(398\) 8.82263e12 0.883451
\(399\) 2.03353e10 + 1.17406e10i 0.00201088 + 0.00116098i
\(400\) 2.98022e11 + 5.16189e11i 0.0291037 + 0.0504091i
\(401\) 1.27221e12 + 2.20354e12i 0.122698 + 0.212519i 0.920831 0.389962i \(-0.127512\pi\)
−0.798133 + 0.602482i \(0.794179\pi\)
\(402\) −6.88339e11 1.19224e12i −0.0655650 0.113562i
\(403\) −1.97824e13 −1.86103
\(404\) −3.32980e12 5.76739e12i −0.309394 0.535886i
\(405\) 1.57797e13 9.11042e12i 1.44818 0.836109i
\(406\) −2.04242e12 1.17919e12i −0.185146 0.106894i
\(407\) −1.41336e13 8.16002e12i −1.26555 0.730666i
\(408\) 2.53821e12 0.224505
\(409\) 1.10071e12i 0.0961738i −0.998843 0.0480869i \(-0.984688\pi\)
0.998843 0.0480869i \(-0.0153124\pi\)
\(410\) −8.79237e12 + 1.52288e13i −0.758904 + 1.31446i
\(411\) 7.73265e11 1.33933e12i 0.0659355 0.114204i
\(412\) 4.90611e12 + 8.49763e12i 0.413286 + 0.715833i
\(413\) 8.50360e12 4.90956e12i 0.707706 0.408594i
\(414\) 7.48063e12i 0.615087i
\(415\) 1.92898e13 1.11370e13i 1.56707 0.904747i
\(416\) −1.34836e13 + 7.78475e12i −1.08228 + 0.624853i
\(417\) 5.87626e11 3.39266e11i 0.0466038 0.0269067i
\(418\) −8.35300e10 + 1.44678e11i −0.00654577 + 0.0113376i
\(419\) 1.02738e13i 0.795538i 0.917486 + 0.397769i \(0.130215\pi\)
−0.917486 + 0.397769i \(0.869785\pi\)
\(420\) 1.22265e12 + 7.05898e11i 0.0935527 + 0.0540127i
\(421\) −1.39666e13 + 8.06363e12i −1.05604 + 0.609705i −0.924334 0.381584i \(-0.875379\pi\)
−0.131706 + 0.991289i \(0.542046\pi\)
\(422\) 4.84804e12 0.362246
\(423\) −2.80545e10 4.85918e10i −0.00207157 0.00358807i
\(424\) 2.52884e12 + 1.46003e12i 0.184541 + 0.106545i
\(425\) −2.35574e13 + 4.08026e13i −1.69896 + 2.94268i
\(426\) 1.34914e12i 0.0961636i
\(427\) −2.97277e11 + 5.14899e11i −0.0209422 + 0.0362730i
\(428\) 3.68563e12 0.256621
\(429\) 2.33749e12i 0.160866i
\(430\) −7.08724e11 + 1.59495e13i −0.0482098 + 1.08494i
\(431\) 6.09528e12 0.409834 0.204917 0.978779i \(-0.434308\pi\)
0.204917 + 0.978779i \(0.434308\pi\)
\(432\) 1.15473e11i 0.00767469i
\(433\) 1.70889e13 + 9.86630e12i 1.12273 + 0.648209i 0.942097 0.335342i \(-0.108852\pi\)
0.180634 + 0.983550i \(0.442185\pi\)
\(434\) −9.27031e12 −0.602068
\(435\) −1.86953e12 1.07938e12i −0.120029 0.0692989i
\(436\) −1.70474e12 + 2.95269e12i −0.108199 + 0.187407i
\(437\) −3.44560e11 + 1.98932e11i −0.0216201 + 0.0124824i
\(438\) 2.47974e12i 0.153828i
\(439\) −1.64310e12 2.84594e12i −0.100773 0.174543i 0.811231 0.584726i \(-0.198798\pi\)
−0.912003 + 0.410183i \(0.865465\pi\)
\(440\) −1.29955e13 + 2.25089e13i −0.788009 + 1.36487i
\(441\) 9.22677e12 0.553167
\(442\) −1.71282e13 9.88896e12i −1.01531 0.586191i
\(443\) −1.18641e13 2.05492e13i −0.695371 1.20442i −0.970056 0.242883i \(-0.921907\pi\)
0.274685 0.961534i \(-0.411427\pi\)
\(444\) −1.29946e12 2.25074e12i −0.0753094 0.130440i
\(445\) −1.11390e13 1.92933e13i −0.638330 1.10562i
\(446\) −1.35839e13 −0.769748
\(447\) 1.32911e12 + 2.30208e12i 0.0744770 + 0.128998i
\(448\) −6.04425e12 + 3.48965e12i −0.334929 + 0.193371i
\(449\) 2.21820e12 + 1.28068e12i 0.121554 + 0.0701791i 0.559544 0.828801i \(-0.310976\pi\)
−0.437990 + 0.898980i \(0.644310\pi\)
\(450\) 2.08070e13 + 1.20129e13i 1.12758 + 0.651007i
\(451\) 2.32187e13 1.24438
\(452\) 7.79549e11i 0.0413191i
\(453\) 8.55158e11 1.48118e12i 0.0448286 0.0776454i
\(454\) 1.80238e11 3.12182e11i 0.00934476 0.0161856i
\(455\) −1.42329e13 2.46522e13i −0.729856 1.26415i
\(456\) −5.96177e10 + 3.44203e10i −0.00302379 + 0.00174578i
\(457\) 1.21285e13i 0.608450i 0.952600 + 0.304225i \(0.0983974\pi\)
−0.952600 + 0.304225i \(0.901603\pi\)
\(458\) 1.75227e13 1.01168e13i 0.869510 0.502012i
\(459\) −7.90476e12 + 4.56382e12i −0.387994 + 0.224009i
\(460\) −2.07165e13 + 1.19607e13i −1.00584 + 0.580721i
\(461\) −4.15723e12 + 7.20053e12i −0.199664 + 0.345828i −0.948419 0.317018i \(-0.897318\pi\)
0.748756 + 0.662846i \(0.230652\pi\)
\(462\) 1.09538e12i 0.0520421i
\(463\) −1.09227e13 6.30625e12i −0.513365 0.296392i 0.220851 0.975308i \(-0.429117\pi\)
−0.734216 + 0.678916i \(0.762450\pi\)
\(464\) −2.64233e11 + 1.52555e11i −0.0122856 + 0.00709310i
\(465\) −8.48559e12 −0.390317
\(466\) −8.50363e12 1.47287e13i −0.386968 0.670247i
\(467\) 1.84577e13 + 1.06565e13i 0.830983 + 0.479768i 0.854189 0.519962i \(-0.174054\pi\)
−0.0232061 + 0.999731i \(0.507387\pi\)
\(468\) 8.58184e12 1.48642e13i 0.382253 0.662082i
\(469\) 2.21365e13i 0.975539i
\(470\) 5.27159e10 9.13066e10i 0.00229854 0.00398119i
\(471\) 8.00319e11 0.0345270
\(472\) 2.87871e13i 1.22882i
\(473\) 1.87060e13 9.71937e12i 0.790088 0.410518i
\(474\) 1.76785e12 0.0738845
\(475\) 1.27783e12i 0.0528452i
\(476\) 1.36595e13 + 7.88632e12i 0.558985 + 0.322730i
\(477\) −5.19407e12 −0.210337
\(478\) −2.56179e12 1.47905e12i −0.102661 0.0592713i
\(479\) 4.02865e12 6.97783e12i 0.159765 0.276721i −0.775019 0.631938i \(-0.782260\pi\)
0.934784 + 0.355217i \(0.115593\pi\)
\(480\) −5.78374e12 + 3.33924e12i −0.226988 + 0.131051i
\(481\) 5.24018e13i 2.03527i
\(482\) 9.73452e12 + 1.68607e13i 0.374179 + 0.648097i
\(483\) −1.30436e12 + 2.25921e12i −0.0496205 + 0.0859452i
\(484\) −3.46693e12 −0.130533
\(485\) −8.47286e12 4.89181e12i −0.315734 0.182289i
\(486\) 3.50341e12 + 6.06808e12i 0.129214 + 0.223805i
\(487\) 2.47320e13 + 4.28370e13i 0.902847 + 1.56378i 0.823782 + 0.566907i \(0.191860\pi\)
0.0790644 + 0.996870i \(0.474807\pi\)
\(488\) −8.71539e11 1.50955e12i −0.0314911 0.0545442i
\(489\) 6.11064e11 0.0218546
\(490\) 8.66880e12 + 1.50148e13i 0.306887 + 0.531544i
\(491\) −2.33967e13 + 1.35081e13i −0.819876 + 0.473355i −0.850374 0.526179i \(-0.823624\pi\)
0.0304979 + 0.999535i \(0.490291\pi\)
\(492\) 3.20214e12 + 1.84876e12i 0.111075 + 0.0641291i
\(493\) −2.08865e13 1.20588e13i −0.717184 0.414067i
\(494\) 5.36411e11 0.0182332
\(495\) 4.62318e13i 1.55566i
\(496\) −5.99661e11 + 1.03864e12i −0.0199755 + 0.0345986i
\(497\) −1.08469e13 + 1.87873e13i −0.357703 + 0.619560i
\(498\) 1.37605e12 + 2.38339e12i 0.0449249 + 0.0778122i
\(499\) 9.20612e12 5.31515e12i 0.297559 0.171796i −0.343787 0.939048i \(-0.611710\pi\)
0.641346 + 0.767252i \(0.278376\pi\)
\(500\) 4.16921e13i 1.33415i
\(501\) 3.20272e12 1.84909e12i 0.101468 0.0585828i
\(502\) 2.03440e13 1.17456e13i 0.638143 0.368432i
\(503\) 3.64903e13 2.10677e13i 1.13328 0.654300i 0.188523 0.982069i \(-0.439630\pi\)
0.944758 + 0.327768i \(0.106297\pi\)
\(504\) 1.04063e13 1.80242e13i 0.319995 0.554247i
\(505\) 5.75975e13i 1.75367i
\(506\) −1.60735e13 9.28004e12i −0.484571 0.279767i
\(507\) 2.27303e12 1.31233e12i 0.0678523 0.0391745i
\(508\) −3.94926e13 −1.16734
\(509\) 1.41069e13 + 2.44339e13i 0.412899 + 0.715161i 0.995205 0.0978079i \(-0.0311831\pi\)
−0.582307 + 0.812969i \(0.697850\pi\)
\(510\) −7.34707e12 4.24183e12i −0.212943 0.122943i
\(511\) 1.99367e13 3.45313e13i 0.572200 0.991080i
\(512\) 1.87266e12i 0.0532241i
\(513\) 1.23778e11 2.14391e11i 0.00348384 0.00603419i
\(514\) −3.69472e13 −1.02983
\(515\) 8.48638e13i 2.34254i
\(516\) 3.35369e12 + 1.49022e11i 0.0916799 + 0.00407383i
\(517\) −1.39211e11 −0.00376895
\(518\) 2.45562e13i 0.658435i
\(519\) −7.86977e11 4.54361e11i −0.0208990 0.0120660i
\(520\) 8.34544e13 2.19499
\(521\) 3.50190e13 + 2.02182e13i 0.912252 + 0.526689i 0.881155 0.472827i \(-0.156767\pi\)
0.0310970 + 0.999516i \(0.490100\pi\)
\(522\) −6.14931e12 + 1.06509e13i −0.158662 + 0.274811i
\(523\) 4.76198e13 2.74933e13i 1.21697 0.702616i 0.252699 0.967545i \(-0.418682\pi\)
0.964268 + 0.264929i \(0.0853485\pi\)
\(524\) 2.37112e13i 0.600202i
\(525\) −4.18925e12 7.25600e12i −0.105036 0.181928i
\(526\) 1.16683e13 2.02101e13i 0.289787 0.501926i
\(527\) −9.48014e13 −2.33218
\(528\) 1.22726e11 + 7.08560e10i 0.00299066 + 0.00172666i
\(529\) −1.38771e12 2.40359e12i −0.0334982 0.0580205i
\(530\) −4.87997e12 8.45236e12i −0.116691 0.202115i
\(531\) −2.56026e13 4.43450e13i −0.606473 1.05044i
\(532\) −4.27781e11 −0.0100384
\(533\) −3.72763e13 6.45644e13i −0.866556 1.50092i
\(534\) 2.38381e12 1.37629e12i 0.0548991 0.0316960i
\(535\) −2.76056e13 1.59381e13i −0.629837 0.363637i
\(536\) 5.62037e13 + 3.24492e13i 1.27040 + 0.733466i
\(537\) −5.40553e12 −0.121051
\(538\) 8.91178e12i 0.197721i
\(539\) 1.14462e13 1.98254e13i 0.251604 0.435790i
\(540\) 7.44214e12 1.28902e13i 0.162080 0.280730i
\(541\) 3.53772e11 + 6.12751e11i 0.00763374 + 0.0132220i 0.869817 0.493374i \(-0.164237\pi\)
−0.862183 + 0.506596i \(0.830903\pi\)
\(542\) 7.57149e12 4.37140e12i 0.161877 0.0934597i
\(543\) 4.62088e12i 0.0978870i
\(544\) −6.46161e13 + 3.73061e13i −1.35627 + 0.783043i
\(545\) 2.55372e13 1.47439e13i 0.531117 0.306641i
\(546\) 3.04594e12 1.75857e12i 0.0627708 0.0362407i
\(547\) 1.02935e13 1.78289e13i 0.210198 0.364073i −0.741579 0.670866i \(-0.765923\pi\)
0.951776 + 0.306793i \(0.0992559\pi\)
\(548\) 2.81748e13i 0.570108i
\(549\) 2.68512e12 + 1.55026e12i 0.0538396 + 0.0310843i
\(550\) 5.16238e13 2.98050e13i 1.02574 0.592210i
\(551\) 6.54111e11 0.0128793
\(552\) −3.82404e12 6.62342e12i −0.0746151 0.129237i
\(553\) 2.46179e13 + 1.42132e13i 0.476021 + 0.274831i
\(554\) −2.48038e13 + 4.29615e13i −0.475303 + 0.823248i
\(555\) 2.24776e13i 0.426859i
\(556\) −6.18077e12 + 1.07054e13i −0.116324 + 0.201479i
\(557\) −2.75191e13 −0.513284 −0.256642 0.966507i \(-0.582616\pi\)
−0.256642 + 0.966507i \(0.582616\pi\)
\(558\) 4.83433e13i 0.893645i
\(559\) −5.70582e13 3.64121e13i −1.04534 0.667094i
\(560\) −1.72576e12 −0.0313358
\(561\) 1.12017e13i 0.201591i
\(562\) −2.84653e13 1.64344e13i −0.507731 0.293139i
\(563\) −3.09919e13 −0.547906 −0.273953 0.961743i \(-0.588331\pi\)
−0.273953 + 0.961743i \(0.588331\pi\)
\(564\) −1.91989e10 1.10845e10i −0.000336420 0.000194232i
\(565\) 3.37108e12 5.83888e12i 0.0585499 0.101411i
\(566\) 1.60283e13 9.25392e12i 0.275933 0.159310i
\(567\) 3.62001e13i 0.617725i
\(568\) −3.18002e13 5.50796e13i −0.537884 0.931642i
\(569\) −2.82654e13 + 4.89571e13i −0.473908 + 0.820832i −0.999554 0.0298711i \(-0.990490\pi\)
0.525646 + 0.850703i \(0.323824\pi\)
\(570\) 2.30092e11 0.00382407
\(571\) 9.58347e13 + 5.53302e13i 1.57886 + 0.911553i 0.995019 + 0.0996809i \(0.0317822\pi\)
0.583836 + 0.811872i \(0.301551\pi\)
\(572\) −2.12923e13 3.68793e13i −0.347729 0.602285i
\(573\) 1.32057e12 + 2.28730e12i 0.0213791 + 0.0370296i
\(574\) −1.74682e13 3.02558e13i −0.280342 0.485567i
\(575\) 1.41965e14 2.25861
\(576\) 1.81980e13 + 3.15198e13i 0.287019 + 0.497132i
\(577\) 1.16464e13 6.72405e12i 0.182101 0.105136i −0.406178 0.913794i \(-0.633139\pi\)
0.588279 + 0.808658i \(0.299806\pi\)
\(578\) −4.80924e13 2.77662e13i −0.745482 0.430404i
\(579\) 1.07337e13 + 6.19708e12i 0.164951 + 0.0952345i
\(580\) 3.93282e13 0.599190
\(581\) 4.42527e13i 0.668435i
\(582\) 6.04415e11 1.04688e12i 0.00905150 0.0156777i
\(583\) −6.44346e12 + 1.11604e13i −0.0956701 + 0.165705i
\(584\) 5.84491e13 + 1.01237e14i 0.860426 + 1.49030i
\(585\) −1.28557e14 + 7.42226e13i −1.87636 + 1.08332i
\(586\) 3.23417e13i 0.468031i
\(587\) −3.13320e12 + 1.80895e12i −0.0449570 + 0.0259559i −0.522310 0.852756i \(-0.674930\pi\)
0.477353 + 0.878712i \(0.341596\pi\)
\(588\) 3.15714e12 1.82278e12i 0.0449167 0.0259327i
\(589\) 2.22670e12 1.28559e12i 0.0314113 0.0181353i
\(590\) 4.81087e13 8.33267e13i 0.672920 1.16553i
\(591\) 1.19534e13i 0.165789i
\(592\) 2.75127e12 + 1.58845e12i 0.0378378 + 0.0218456i
\(593\) 1.47000e13 8.48704e12i 0.200467 0.115740i −0.396406 0.918075i \(-0.629743\pi\)
0.596873 + 0.802335i \(0.296409\pi\)
\(594\) 1.15484e13 0.156167
\(595\) −6.82071e13 1.18138e14i −0.914629 1.58418i
\(596\) −4.19394e13 2.42137e13i −0.557688 0.321981i
\(597\) −8.02228e12 + 1.38950e13i −0.105786 + 0.183226i
\(598\) 5.95943e13i 0.779290i
\(599\) −2.81459e13 + 4.87502e13i −0.364990 + 0.632182i −0.988775 0.149415i \(-0.952261\pi\)
0.623784 + 0.781597i \(0.285594\pi\)
\(600\) 2.45636e13 0.315890
\(601\) 1.48915e13i 0.189918i 0.995481 + 0.0949589i \(0.0302720\pi\)
−0.995481 + 0.0949589i \(0.969728\pi\)
\(602\) −2.67383e13 1.70632e13i −0.338183 0.215814i
\(603\) −1.15438e14 −1.44798
\(604\) 3.11586e13i 0.387609i
\(605\) 2.59676e13 + 1.49924e13i 0.320372 + 0.184967i
\(606\) −7.11655e12 −0.0870776
\(607\) 3.90090e13 + 2.25219e13i 0.473393 + 0.273313i 0.717659 0.696395i \(-0.245214\pi\)
−0.244266 + 0.969708i \(0.578547\pi\)
\(608\) 1.01181e12 1.75250e12i 0.0121781 0.0210931i
\(609\) 3.71428e12 2.14444e12i 0.0443393 0.0255993i
\(610\) 5.82603e12i 0.0689801i
\(611\) 2.23495e11 + 3.87105e11i 0.00262460 + 0.00454593i
\(612\) 4.11260e13 7.12322e13i 0.479026 0.829697i
\(613\) −4.70054e13 −0.543057 −0.271529 0.962430i \(-0.587529\pi\)
−0.271529 + 0.962430i \(0.587529\pi\)
\(614\) −8.32632e13 4.80721e13i −0.954139 0.550872i
\(615\) −1.59895e13 2.76947e13i −0.181744 0.314790i
\(616\) −2.58188e13 4.47195e13i −0.291094 0.504189i
\(617\) 5.17839e13 + 8.96924e13i 0.579121 + 1.00307i 0.995580 + 0.0939124i \(0.0299373\pi\)
−0.416460 + 0.909154i \(0.636729\pi\)
\(618\) 1.04855e13 0.116318
\(619\) 5.34615e13 + 9.25980e13i 0.588285 + 1.01894i 0.994457 + 0.105143i \(0.0335301\pi\)
−0.406172 + 0.913797i \(0.633137\pi\)
\(620\) 1.33880e14 7.72955e13i 1.46136 0.843715i
\(621\) 2.38184e13 + 1.37516e13i 0.257902 + 0.148900i
\(622\) 4.06278e12 + 2.34565e12i 0.0436387 + 0.0251948i
\(623\) 4.42606e13 0.471603
\(624\) 4.55021e11i 0.00480960i
\(625\) −7.60301e13 + 1.31688e14i −0.797233 + 1.38085i
\(626\) 2.21642e13 3.83895e13i 0.230558 0.399339i
\(627\) −1.51905e11 2.63107e11i −0.00156760 0.00271516i
\(628\) −1.26269e13 + 7.29013e12i −0.129270 + 0.0746341i
\(629\) 2.51120e14i 2.55052i
\(630\) −6.02437e13 + 3.47817e13i −0.607029 + 0.350468i
\(631\) −6.71533e12 + 3.87710e12i −0.0671306 + 0.0387579i −0.533190 0.845996i \(-0.679007\pi\)
0.466059 + 0.884754i \(0.345673\pi\)
\(632\) −7.21733e13 + 4.16693e13i −0.715799 + 0.413267i
\(633\) −4.40825e12 + 7.63531e12i −0.0433758 + 0.0751291i
\(634\) 4.04736e13i 0.395116i
\(635\) 2.95802e14 + 1.70782e14i 2.86505 + 1.65414i
\(636\) −1.77727e12 + 1.02611e12i −0.0170792 + 0.00986067i
\(637\) −7.35048e13 −0.700840
\(638\) 1.52569e13 + 2.64258e13i 0.144332 + 0.249991i
\(639\) 9.79731e13 + 5.65648e13i 0.919608 + 0.530936i
\(640\) 6.23866e13 1.08057e14i 0.581021 1.00636i
\(641\) 7.93849e13i 0.733580i 0.930304 + 0.366790i \(0.119543\pi\)
−0.930304 + 0.366790i \(0.880457\pi\)
\(642\) 1.96926e12 3.41086e12i 0.0180563 0.0312743i
\(643\) −2.63700e13 −0.239914 −0.119957 0.992779i \(-0.538276\pi\)
−0.119957 + 0.992779i \(0.538276\pi\)
\(644\) 4.75257e13i 0.429042i
\(645\) −2.44749e13 1.56189e13i −0.219242 0.139911i
\(646\) 2.57059e12 0.0228492
\(647\) 1.18319e14i 1.04360i −0.853067 0.521801i \(-0.825260\pi\)
0.853067 0.521801i \(-0.174740\pi\)
\(648\) −9.19107e13 5.30647e13i −0.804435 0.464441i
\(649\) −1.27044e14 −1.10340
\(650\) −1.65758e14 9.57006e13i −1.42859 0.824798i
\(651\) 8.42935e12 1.46001e13i 0.0720924 0.124868i
\(652\) −9.64094e12 + 5.56620e12i −0.0818242 + 0.0472412i
\(653\) 1.97805e14i 1.66599i −0.553284 0.832993i \(-0.686625\pi\)
0.553284 0.832993i \(-0.313375\pi\)
\(654\) 1.82171e12 + 3.15529e12i 0.0152261 + 0.0263724i
\(655\) −1.02537e14 + 1.77599e14i −0.850497 + 1.47310i
\(656\) −4.51980e12 −0.0372049
\(657\) −1.80076e14 1.03967e14i −1.47105 0.849312i
\(658\) 1.04733e11 + 1.81403e11i 0.000849091 + 0.00147067i
\(659\) −1.17322e14 2.03207e14i −0.943954 1.63498i −0.757832 0.652449i \(-0.773742\pi\)
−0.186121 0.982527i \(-0.559592\pi\)
\(660\) −9.13324e12 1.58192e13i −0.0729298 0.126318i
\(661\) 1.18328e14 0.937732 0.468866 0.883269i \(-0.344663\pi\)
0.468866 + 0.883269i \(0.344663\pi\)
\(662\) 4.33722e13 + 7.51229e13i 0.341132 + 0.590857i
\(663\) 3.11488e13 1.79838e13i 0.243149 0.140382i
\(664\) −1.12356e14 6.48687e13i −0.870473 0.502568i
\(665\) 3.20411e12 + 1.84989e12i 0.0246376 + 0.0142246i
\(666\) 1.28057e14 0.977310
\(667\) 7.26707e13i 0.550465i
\(668\) −3.36869e13 + 5.83474e13i −0.253267 + 0.438671i
\(669\) 1.23516e13 2.13936e13i 0.0921706 0.159644i
\(670\) −1.08458e14 1.87854e14i −0.803315 1.39138i
\(671\) 6.66201e12 3.84631e12i 0.0489770 0.0282769i
\(672\) 1.32684e13i 0.0968219i
\(673\) 6.33305e13 3.65639e13i 0.458709 0.264836i −0.252792 0.967521i \(-0.581349\pi\)
0.711501 + 0.702685i \(0.248016\pi\)
\(674\) 7.51781e13 4.34041e13i 0.540495 0.312055i
\(675\) −7.64985e13 + 4.41664e13i −0.545926 + 0.315191i
\(676\) −2.39081e13 + 4.14101e13i −0.169361 + 0.293341i
\(677\) 6.61695e12i 0.0465280i 0.999729 + 0.0232640i \(0.00740583\pi\)
−0.999729 + 0.0232640i \(0.992594\pi\)
\(678\) 7.21432e11 + 4.16519e11i 0.00503555 + 0.00290728i
\(679\) 1.68334e13 9.71878e12i 0.116633 0.0673384i
\(680\) 3.99931e14 2.75068
\(681\) 3.27776e11 + 5.67725e11i 0.00223791 + 0.00387617i
\(682\) 1.03874e14 + 5.99718e13i 0.704022 + 0.406467i
\(683\) 1.05922e14 1.83463e14i 0.712663 1.23437i −0.251190 0.967938i \(-0.580822\pi\)
0.963854 0.266432i \(-0.0858446\pi\)
\(684\) 2.23081e12i 0.0148999i
\(685\) 1.21839e14 2.11031e14i 0.807854 1.39924i
\(686\) −9.53930e13 −0.627908
\(687\) 3.67960e13i 0.240446i
\(688\) −3.64136e12 + 1.89200e12i −0.0236223 + 0.0122738i
\(689\) 4.13784e13 0.266488
\(690\) 2.55628e13i 0.163442i
\(691\) −1.67689e14 9.68151e13i −1.06442 0.614544i −0.137769 0.990464i \(-0.543993\pi\)
−0.926652 + 0.375920i \(0.877327\pi\)
\(692\) 1.65552e13 0.104328
\(693\) 7.95451e13 + 4.59254e13i 0.497677 + 0.287334i
\(694\) −2.32576e13 + 4.02834e13i −0.144467 + 0.250224i
\(695\) 9.25889e13 5.34562e13i 0.570998 0.329666i
\(696\) 1.25739e13i 0.0769881i
\(697\) −1.78636e14 3.09406e14i −1.08594 1.88090i
\(698\) −2.31274e12 + 4.00579e12i −0.0139589 + 0.0241775i
\(699\) 3.09289e13 0.185344
\(700\) 1.32190e14 + 7.63200e13i 0.786518 + 0.454097i
\(701\) 5.61610e13 + 9.72737e13i 0.331776 + 0.574653i 0.982860 0.184353i \(-0.0590189\pi\)
−0.651084 + 0.759006i \(0.725686\pi\)
\(702\) −1.85403e13 3.21127e13i −0.108750 0.188361i
\(703\) −3.40541e12 5.89834e12i −0.0198332 0.0343521i
\(704\) 9.03014e13 0.522193
\(705\) 9.58675e10 + 1.66047e11i 0.000550460 + 0.000953425i
\(706\) −9.28227e13 + 5.35912e13i −0.529213 + 0.305541i
\(707\) −9.91007e13 5.72158e13i −0.561021 0.323906i
\(708\) −1.75210e13 1.01158e13i −0.0984901 0.0568633i
\(709\) −1.17871e14 −0.657924 −0.328962 0.944343i \(-0.606699\pi\)
−0.328962 + 0.944343i \(0.606699\pi\)
\(710\) 2.12577e14i 1.17821i
\(711\) 7.41195e13 1.28379e14i 0.407929 0.706554i
\(712\) −6.48802e13 + 1.12376e14i −0.354578 + 0.614148i
\(713\) 1.42827e14 + 2.47383e14i 0.775106 + 1.34252i
\(714\) 1.45968e13 8.42744e12i 0.0786621 0.0454156i
\(715\) 3.68305e14i 1.97096i
\(716\) 8.52847e13 4.92391e13i 0.453217 0.261665i
\(717\) 4.65880e12 2.68976e12i 0.0245855 0.0141944i
\(718\) −1.65685e14 + 9.56582e13i −0.868282 + 0.501303i
\(719\) 1.65770e14 2.87122e14i 0.862702 1.49424i −0.00660813 0.999978i \(-0.502103\pi\)
0.869311 0.494266i \(-0.164563\pi\)
\(720\) 8.99959e12i 0.0465115i
\(721\) 1.46014e14 + 8.43014e13i 0.749409 + 0.432672i
\(722\) 1.03309e14 5.96452e13i 0.526563 0.304011i
\(723\) −3.54058e13 −0.179218
\(724\) 4.20917e13 + 7.29049e13i 0.211594 + 0.366492i
\(725\) −2.02129e14 1.16699e14i −1.00911 0.582611i
\(726\) −1.85241e12 + 3.20847e12i −0.00918447 + 0.0159080i
\(727\) 1.40549e14i 0.692079i −0.938220 0.346040i \(-0.887526\pi\)
0.938220 0.346040i \(-0.112474\pi\)
\(728\) −8.29013e13 + 1.43589e14i −0.405420 + 0.702207i
\(729\) 1.80130e14 0.874880
\(730\) 3.90718e14i 1.88473i
\(731\) −2.73435e14 1.74494e14i −1.30999 0.835978i
\(732\) 1.22503e12 0.00582897
\(733\) 2.11180e13i 0.0998004i 0.998754 + 0.0499002i \(0.0158903\pi\)
−0.998754 + 0.0499002i \(0.984110\pi\)
\(734\) 1.13232e14 + 6.53744e13i 0.531482 + 0.306851i
\(735\) −3.15296e13 −0.146988
\(736\) 1.94700e14 + 1.12410e14i 0.901522 + 0.520494i
\(737\) −1.43206e14 + 2.48040e14i −0.658604 + 1.14074i
\(738\) −1.57779e14 + 9.10940e13i −0.720723 + 0.416110i
\(739\) 2.15401e14i 0.977294i −0.872482 0.488647i \(-0.837491\pi\)
0.872482 0.488647i \(-0.162509\pi\)
\(740\) −2.04749e14 3.54636e14i −0.922705 1.59817i
\(741\) −4.87750e11 + 8.44808e11i −0.00218326 + 0.00378152i
\(742\) 1.93905e13 0.0862124
\(743\) 1.34038e14 + 7.73866e13i 0.591946 + 0.341760i 0.765867 0.642999i \(-0.222310\pi\)
−0.173920 + 0.984760i \(0.555644\pi\)
\(744\) 2.47127e13 + 4.28036e13i 0.108406 + 0.187765i
\(745\) 2.09419e14 + 3.62725e14i 0.912506 + 1.58051i
\(746\) 3.88604e13 + 6.73082e13i 0.168195 + 0.291322i
\(747\) 2.30771e14 0.992152
\(748\) −1.02037e14 1.76733e14i −0.435762 0.754762i
\(749\) 5.48453e13 3.16650e13i 0.232665 0.134329i
\(750\) −3.85839e13 2.22764e13i −0.162592 0.0938726i
\(751\) −2.57865e13 1.48878e13i −0.107943 0.0623207i 0.445057 0.895502i \(-0.353183\pi\)
−0.552999 + 0.833182i \(0.686517\pi\)
\(752\) 2.70991e10 0.000112685
\(753\) 4.27205e13i 0.176466i
\(754\) 4.89883e13 8.48503e13i 0.201018 0.348174i
\(755\) 1.34742e14 2.33380e14i 0.549249 0.951326i
\(756\) 1.47856e13 + 2.56095e13i 0.0598730 + 0.103703i
\(757\) −2.08712e14 + 1.20500e14i −0.839592 + 0.484738i −0.857125 0.515108i \(-0.827752\pi\)
0.0175338 + 0.999846i \(0.494419\pi\)
\(758\) 1.54337e14i 0.616773i
\(759\) 2.92308e13 1.68764e13i 0.116046 0.0669994i
\(760\) −9.39361e12 + 5.42340e12i −0.0370480 + 0.0213897i
\(761\) 1.55807e14 8.99555e13i 0.610471 0.352456i −0.162679 0.986679i \(-0.552013\pi\)
0.773150 + 0.634223i \(0.218680\pi\)