Properties

Label 43.11.d.a.7.4
Level 43
Weight 11
Character 43.7
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 7.4
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.33

$q$-expansion

\(f(q)\) \(=\) \(q-55.4674i q^{2} +(-88.6325 + 51.1720i) q^{3} -2052.63 q^{4} +(-1275.79 + 736.579i) q^{5} +(2838.37 + 4916.21i) q^{6} +(-14307.5 - 8260.42i) q^{7} +57055.3i q^{8} +(-24287.4 + 42066.9i) q^{9} +O(q^{10})\) \(q-55.4674i q^{2} +(-88.6325 + 51.1720i) q^{3} -2052.63 q^{4} +(-1275.79 + 736.579i) q^{5} +(2838.37 + 4916.21i) q^{6} +(-14307.5 - 8260.42i) q^{7} +57055.3i q^{8} +(-24287.4 + 42066.9i) q^{9} +(40856.1 + 70764.9i) q^{10} +24048.6 q^{11} +(181930. - 105037. i) q^{12} +(-164284. + 284549. i) q^{13} +(-458184. + 793597. i) q^{14} +(75384.4 - 130570. i) q^{15} +1.06282e6 q^{16} +(1.06658e6 - 1.84737e6i) q^{17} +(2.33334e6 + 1.34716e6i) q^{18} +(2.62539e6 - 1.51577e6i) q^{19} +(2.61873e6 - 1.51192e6i) q^{20} +1.69081e6 q^{21} -1.33391e6i q^{22} +(212189. + 367523. i) q^{23} +(-2.91963e6 - 5.05695e6i) q^{24} +(-3.79771e6 + 6.57783e6i) q^{25} +(1.57832e7 + 9.11242e6i) q^{26} -1.10146e7i q^{27} +(2.93679e7 + 1.69556e7i) q^{28} +(-1.41543e7 - 8.17197e6i) q^{29} +(-7.24236e6 - 4.18138e6i) q^{30} +(4.52927e6 + 7.84492e6i) q^{31} -526974. i q^{32} +(-2.13148e6 + 1.23061e6i) q^{33} +(-1.02468e8 - 5.91602e7i) q^{34} +2.43378e7 q^{35} +(4.98529e7 - 8.63478e7i) q^{36} +(1.34275e6 - 775235. i) q^{37} +(-8.40756e7 - 1.45623e8i) q^{38} -3.36270e7i q^{39} +(-4.20258e7 - 7.27908e7i) q^{40} +5.83940e7 q^{41} -9.37847e7i q^{42} +(-1.41175e8 + 4.10027e7i) q^{43} -4.93628e7 q^{44} -7.15583e7i q^{45} +(2.03855e7 - 1.17696e7i) q^{46} +3.25900e8 q^{47} +(-9.42000e7 + 5.43864e7i) q^{48} +(-4.76858e6 - 8.25942e6i) q^{49} +(3.64855e8 + 2.10649e8i) q^{50} +2.18315e8i q^{51} +(3.37215e8 - 5.84073e8i) q^{52} +(1.60057e8 + 2.77228e8i) q^{53} -6.10953e8 q^{54} +(-3.06810e7 + 1.77137e7i) q^{55} +(4.71301e8 - 8.16317e8i) q^{56} +(-1.55130e8 + 2.68692e8i) q^{57} +(-4.53278e8 + 7.85100e8i) q^{58} +1.07291e9 q^{59} +(-1.54736e8 + 2.68011e8i) q^{60} +(1.38640e8 + 8.00440e7i) q^{61} +(4.35137e8 - 2.51227e8i) q^{62} +(6.94981e8 - 4.01248e8i) q^{63} +1.05909e9 q^{64} -4.84034e8i q^{65} +(6.82589e7 + 1.18228e8i) q^{66} +(2.36480e8 + 4.09595e8i) q^{67} +(-2.18929e9 + 3.79196e9i) q^{68} +(-3.76137e7 - 2.17163e7i) q^{69} -1.34995e9i q^{70} +(7.23911e8 + 4.17950e8i) q^{71} +(-2.40014e9 - 1.38572e9i) q^{72} +(-7.56269e8 - 4.36632e8i) q^{73} +(-4.30002e7 - 7.44786e7i) q^{74} -7.77346e8i q^{75} +(-5.38894e9 + 3.11131e9i) q^{76} +(-3.44074e8 - 1.98651e8i) q^{77} -1.86520e9 q^{78} +(-7.34129e8 + 1.27155e9i) q^{79} +(-1.35593e9 + 7.82848e8i) q^{80} +(-8.70503e8 - 1.50776e9i) q^{81} -3.23896e9i q^{82} +(3.14696e9 + 5.45070e9i) q^{83} -3.47060e9 q^{84} +3.14247e9i q^{85} +(2.27431e9 + 7.83058e9i) q^{86} +1.67270e9 q^{87} +1.37210e9i q^{88} +(1.61470e8 - 9.32248e7i) q^{89} -3.96915e9 q^{90} +(4.70099e9 - 2.71412e9i) q^{91} +(-4.35546e8 - 7.54388e8i) q^{92} +(-8.02880e8 - 4.63543e8i) q^{93} -1.80768e10i q^{94} +(-2.23297e9 + 3.86761e9i) q^{95} +(2.69663e7 + 4.67070e7i) q^{96} +1.35722e10 q^{97} +(-4.58128e8 + 2.64500e8i) q^{98} +(-5.84076e8 + 1.01165e9i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 55.4674i 1.73336i −0.498869 0.866678i \(-0.666251\pi\)
0.498869 0.866678i \(-0.333749\pi\)
\(3\) −88.6325 + 51.1720i −0.364743 + 0.210584i −0.671159 0.741313i \(-0.734203\pi\)
0.306417 + 0.951898i \(0.400870\pi\)
\(4\) −2052.63 −2.00452
\(5\) −1275.79 + 736.579i −0.408254 + 0.235705i −0.690039 0.723772i \(-0.742407\pi\)
0.281785 + 0.959477i \(0.409073\pi\)
\(6\) 2838.37 + 4916.21i 0.365017 + 0.632229i
\(7\) −14307.5 8260.42i −0.851280 0.491487i 0.00980243 0.999952i \(-0.496880\pi\)
−0.861083 + 0.508465i \(0.830213\pi\)
\(8\) 57055.3i 1.74119i
\(9\) −24287.4 + 42066.9i −0.411309 + 0.712407i
\(10\) 40856.1 + 70764.9i 0.408561 + 0.707649i
\(11\) 24048.6 0.149323 0.0746614 0.997209i \(-0.476212\pi\)
0.0746614 + 0.997209i \(0.476212\pi\)
\(12\) 181930. 105037.i 0.731134 0.422120i
\(13\) −164284. + 284549.i −0.442466 + 0.766373i −0.997872 0.0652061i \(-0.979230\pi\)
0.555406 + 0.831579i \(0.312563\pi\)
\(14\) −458184. + 793597.i −0.851921 + 1.47557i
\(15\) 75384.4 130570.i 0.0992717 0.171944i
\(16\) 1.06282e6 1.01358
\(17\) 1.06658e6 1.84737e6i 0.751186 1.30109i −0.196062 0.980592i \(-0.562815\pi\)
0.947248 0.320501i \(-0.103851\pi\)
\(18\) 2.33334e6 + 1.34716e6i 1.23485 + 0.712944i
\(19\) 2.62539e6 1.51577e6i 1.06029 0.612159i 0.134778 0.990876i \(-0.456968\pi\)
0.925513 + 0.378716i \(0.123634\pi\)
\(20\) 2.61873e6 1.51192e6i 0.818353 0.472476i
\(21\) 1.69081e6 0.413998
\(22\) 1.33391e6i 0.258829i
\(23\) 212189. + 367523.i 0.0329674 + 0.0571012i 0.882038 0.471178i \(-0.156171\pi\)
−0.849071 + 0.528279i \(0.822838\pi\)
\(24\) −2.91963e6 5.05695e6i −0.366667 0.635086i
\(25\) −3.79771e6 + 6.57783e6i −0.388886 + 0.673570i
\(26\) 1.57832e7 + 9.11242e6i 1.32840 + 0.766950i
\(27\) 1.10146e7i 0.767629i
\(28\) 2.93679e7 + 1.69556e7i 1.70641 + 0.985195i
\(29\) −1.41543e7 8.17197e6i −0.690077 0.398416i 0.113564 0.993531i \(-0.463773\pi\)
−0.803641 + 0.595115i \(0.797107\pi\)
\(30\) −7.24236e6 4.18138e6i −0.298039 0.172073i
\(31\) 4.52927e6 + 7.84492e6i 0.158205 + 0.274019i 0.934221 0.356694i \(-0.116096\pi\)
−0.776017 + 0.630712i \(0.782763\pi\)
\(32\) 526974.i 0.0157051i
\(33\) −2.13148e6 + 1.23061e6i −0.0544644 + 0.0314450i
\(34\) −1.02468e8 5.91602e7i −2.25526 1.30207i
\(35\) 2.43378e7 0.463384
\(36\) 4.98529e7 8.63478e7i 0.824476 1.42803i
\(37\) 1.34275e6 775235.i 0.0193636 0.0111796i −0.490287 0.871561i \(-0.663108\pi\)
0.509651 + 0.860382i \(0.329775\pi\)
\(38\) −8.40756e7 1.45623e8i −1.06109 1.83786i
\(39\) 3.36270e7i 0.372705i
\(40\) −4.20258e7 7.27908e7i −0.410408 0.710847i
\(41\) 5.83940e7 0.504021 0.252011 0.967724i \(-0.418908\pi\)
0.252011 + 0.967724i \(0.418908\pi\)
\(42\) 9.37847e7i 0.717605i
\(43\) −1.41175e8 + 4.10027e7i −0.960316 + 0.278914i
\(44\) −4.93628e7 −0.299320
\(45\) 7.15583e7i 0.387791i
\(46\) 2.03855e7 1.17696e7i 0.0989766 0.0571442i
\(47\) 3.25900e8 1.42100 0.710501 0.703696i \(-0.248468\pi\)
0.710501 + 0.703696i \(0.248468\pi\)
\(48\) −9.42000e7 + 5.43864e7i −0.369696 + 0.213444i
\(49\) −4.76858e6 8.25942e6i −0.0168814 0.0292394i
\(50\) 3.64855e8 + 2.10649e8i 1.16754 + 0.674077i
\(51\) 2.18315e8i 0.632752i
\(52\) 3.37215e8 5.84073e8i 0.886931 1.53621i
\(53\) 1.60057e8 + 2.77228e8i 0.382734 + 0.662914i 0.991452 0.130472i \(-0.0416494\pi\)
−0.608718 + 0.793386i \(0.708316\pi\)
\(54\) −6.10953e8 −1.33057
\(55\) −3.06810e7 + 1.77137e7i −0.0609616 + 0.0351962i
\(56\) 4.71301e8 8.16317e8i 0.855772 1.48224i
\(57\) −1.55130e8 + 2.68692e8i −0.257822 + 0.446561i
\(58\) −4.53278e8 + 7.85100e8i −0.690597 + 1.19615i
\(59\) 1.07291e9 1.50073 0.750363 0.661026i \(-0.229879\pi\)
0.750363 + 0.661026i \(0.229879\pi\)
\(60\) −1.54736e8 + 2.68011e8i −0.198992 + 0.344664i
\(61\) 1.38640e8 + 8.00440e7i 0.164150 + 0.0947719i 0.579824 0.814741i \(-0.303121\pi\)
−0.415675 + 0.909513i \(0.636454\pi\)
\(62\) 4.35137e8 2.51227e8i 0.474972 0.274225i
\(63\) 6.94981e8 4.01248e8i 0.700278 0.404305i
\(64\) 1.05909e9 0.986358
\(65\) 4.84034e8i 0.417166i
\(66\) 6.82589e7 + 1.18228e8i 0.0545054 + 0.0944061i
\(67\) 2.36480e8 + 4.09595e8i 0.175154 + 0.303375i 0.940214 0.340583i \(-0.110624\pi\)
−0.765061 + 0.643958i \(0.777291\pi\)
\(68\) −2.18929e9 + 3.79196e9i −1.50577 + 2.60807i
\(69\) −3.76137e7 2.17163e7i −0.0240492 0.0138848i
\(70\) 1.34995e9i 0.803210i
\(71\) 7.23911e8 + 4.17950e8i 0.401230 + 0.231650i 0.687015 0.726644i \(-0.258921\pi\)
−0.285785 + 0.958294i \(0.592254\pi\)
\(72\) −2.40014e9 1.38572e9i −1.24044 0.716166i
\(73\) −7.56269e8 4.36632e8i −0.364806 0.210621i 0.306381 0.951909i \(-0.400882\pi\)
−0.671187 + 0.741288i \(0.734215\pi\)
\(74\) −4.30002e7 7.44786e7i −0.0193781 0.0335639i
\(75\) 7.77346e8i 0.327573i
\(76\) −5.38894e9 + 3.11131e9i −2.12537 + 1.22709i
\(77\) −3.44074e8 1.98651e8i −0.127115 0.0733902i
\(78\) −1.86520e9 −0.646031
\(79\) −7.34129e8 + 1.27155e9i −0.238582 + 0.413235i −0.960308 0.278944i \(-0.910016\pi\)
0.721726 + 0.692179i \(0.243349\pi\)
\(80\) −1.35593e9 + 7.82848e8i −0.413798 + 0.238906i
\(81\) −8.70503e8 1.50776e9i −0.249658 0.432420i
\(82\) 3.23896e9i 0.873648i
\(83\) 3.14696e9 + 5.45070e9i 0.798916 + 1.38376i 0.920323 + 0.391160i \(0.127926\pi\)
−0.121407 + 0.992603i \(0.538741\pi\)
\(84\) −3.47060e9 −0.829866
\(85\) 3.14247e9i 0.708235i
\(86\) 2.27431e9 + 7.83058e9i 0.483457 + 1.66457i
\(87\) 1.67270e9 0.335601
\(88\) 1.37210e9i 0.259999i
\(89\) 1.61470e8 9.32248e7i 0.0289163 0.0166948i −0.485472 0.874252i \(-0.661352\pi\)
0.514388 + 0.857557i \(0.328019\pi\)
\(90\) −3.96915e9 −0.672179
\(91\) 4.70099e9 2.71412e9i 0.753325 0.434932i
\(92\) −4.35546e8 7.54388e8i −0.0660838 0.114460i
\(93\) −8.02880e8 4.63543e8i −0.115408 0.0666309i
\(94\) 1.80768e10i 2.46310i
\(95\) −2.23297e9 + 3.86761e9i −0.288579 + 0.499833i
\(96\) 2.69663e7 + 4.67070e7i 0.00330724 + 0.00572830i
\(97\) 1.35722e10 1.58049 0.790247 0.612789i \(-0.209952\pi\)
0.790247 + 0.612789i \(0.209952\pi\)
\(98\) −4.58128e8 + 2.64500e8i −0.0506823 + 0.0292615i
\(99\) −5.84076e8 + 1.01165e9i −0.0614177 + 0.106379i
\(100\) 7.79530e9 1.35018e10i 0.779530 1.35018i
\(101\) 2.56270e9 4.43872e9i 0.243832 0.422329i −0.717971 0.696073i \(-0.754929\pi\)
0.961803 + 0.273744i \(0.0882622\pi\)
\(102\) 1.21094e10 1.09678
\(103\) −4.55071e9 + 7.88206e9i −0.392548 + 0.679913i −0.992785 0.119909i \(-0.961740\pi\)
0.600237 + 0.799822i \(0.295073\pi\)
\(104\) −1.62350e10 9.37330e9i −1.33440 0.770417i
\(105\) −2.15712e9 + 1.24541e9i −0.169016 + 0.0975815i
\(106\) 1.53771e10 8.87797e9i 1.14907 0.663413i
\(107\) 1.02659e10 0.731945 0.365972 0.930626i \(-0.380736\pi\)
0.365972 + 0.930626i \(0.380736\pi\)
\(108\) 2.26090e10i 1.53873i
\(109\) 1.12485e10 + 1.94830e10i 0.731075 + 1.26626i 0.956424 + 0.291981i \(0.0943143\pi\)
−0.225349 + 0.974278i \(0.572352\pi\)
\(110\) 9.82531e8 + 1.70179e9i 0.0610075 + 0.105668i
\(111\) −7.93406e7 + 1.37422e8i −0.00470848 + 0.00815532i
\(112\) −1.52062e10 8.77931e9i −0.862841 0.498161i
\(113\) 1.66214e10i 0.902145i 0.892487 + 0.451072i \(0.148958\pi\)
−0.892487 + 0.451072i \(0.851042\pi\)
\(114\) 1.49037e10 + 8.60463e9i 0.774049 + 0.446898i
\(115\) −5.41419e8 3.12589e8i −0.0269181 0.0155412i
\(116\) 2.90535e10 + 1.67740e10i 1.38327 + 0.798633i
\(117\) −7.98007e9 1.38219e10i −0.363980 0.630432i
\(118\) 5.95112e10i 2.60129i
\(119\) −3.05200e10 + 1.76207e10i −1.27894 + 0.738396i
\(120\) 7.44969e9 + 4.30108e9i 0.299386 + 0.172851i
\(121\) −2.53591e10 −0.977703
\(122\) 4.43983e9 7.69001e9i 0.164273 0.284530i
\(123\) −5.17560e9 + 2.98814e9i −0.183838 + 0.106139i
\(124\) −9.29690e9 1.61027e10i −0.317125 0.549276i
\(125\) 2.55756e10i 0.838061i
\(126\) −2.22561e10 3.85488e10i −0.700805 1.21383i
\(127\) −1.07968e10 −0.326797 −0.163399 0.986560i \(-0.552246\pi\)
−0.163399 + 0.986560i \(0.552246\pi\)
\(128\) 5.92848e10i 1.72541i
\(129\) 1.04145e10 1.08584e10i 0.291533 0.303959i
\(130\) −2.68481e10 −0.723097
\(131\) 1.46354e10i 0.379358i −0.981846 0.189679i \(-0.939255\pi\)
0.981846 0.189679i \(-0.0607447\pi\)
\(132\) 4.37515e9 2.52599e9i 0.109175 0.0630322i
\(133\) −5.00835e10 −1.20347
\(134\) 2.27191e10 1.31169e10i 0.525857 0.303604i
\(135\) 8.11315e9 + 1.40524e10i 0.180934 + 0.313387i
\(136\) 1.05402e11 + 6.08539e10i 2.26545 + 1.30796i
\(137\) 1.54627e10i 0.320392i −0.987085 0.160196i \(-0.948787\pi\)
0.987085 0.160196i \(-0.0512126\pi\)
\(138\) −1.20455e9 + 2.08633e9i −0.0240673 + 0.0416858i
\(139\) −4.42933e8 7.67182e8i −0.00853618 0.0147851i 0.861726 0.507374i \(-0.169384\pi\)
−0.870262 + 0.492589i \(0.836051\pi\)
\(140\) −4.99565e10 −0.928863
\(141\) −2.88853e10 + 1.66769e10i −0.518300 + 0.299241i
\(142\) 2.31826e10 4.01534e10i 0.401532 0.695474i
\(143\) −3.95081e9 + 6.84300e9i −0.0660702 + 0.114437i
\(144\) −2.58130e10 + 4.47094e10i −0.416894 + 0.722082i
\(145\) 2.40772e10 0.375635
\(146\) −2.42188e10 + 4.19483e10i −0.365081 + 0.632339i
\(147\) 8.45301e8 + 4.88035e8i 0.0123147 + 0.00710991i
\(148\) −2.75616e9 + 1.59127e9i −0.0388146 + 0.0224096i
\(149\) −9.43876e10 + 5.44947e10i −1.28524 + 0.742032i −0.977801 0.209536i \(-0.932805\pi\)
−0.307437 + 0.951569i \(0.599471\pi\)
\(150\) −4.31173e10 −0.567800
\(151\) 8.62237e9i 0.109835i 0.998491 + 0.0549177i \(0.0174896\pi\)
−0.998491 + 0.0549177i \(0.982510\pi\)
\(152\) 8.64826e10 + 1.49792e11i 1.06589 + 1.84617i
\(153\) 5.18087e10 + 8.97353e10i 0.617939 + 1.07030i
\(154\) −1.10187e10 + 1.90849e10i −0.127211 + 0.220336i
\(155\) −1.15568e10 6.67233e9i −0.129175 0.0745794i
\(156\) 6.90238e10i 0.747095i
\(157\) 6.67144e10 + 3.85176e10i 0.699393 + 0.403795i 0.807121 0.590386i \(-0.201024\pi\)
−0.107728 + 0.994180i \(0.534358\pi\)
\(158\) 7.05295e10 + 4.07202e10i 0.716284 + 0.413547i
\(159\) −2.83726e10 1.63809e10i −0.279199 0.161195i
\(160\) 3.88158e8 + 6.72310e8i 0.00370177 + 0.00641165i
\(161\) 7.01109e9i 0.0648121i
\(162\) −8.36313e10 + 4.82845e10i −0.749538 + 0.432746i
\(163\) −5.31763e10 3.07014e10i −0.462147 0.266821i 0.250799 0.968039i \(-0.419307\pi\)
−0.712947 + 0.701218i \(0.752640\pi\)
\(164\) −1.19861e11 −1.01032
\(165\) 1.81289e9 3.14001e9i 0.0148235 0.0256751i
\(166\) 3.02336e11 1.74554e11i 2.39855 1.38480i
\(167\) −6.70183e9 1.16079e10i −0.0515954 0.0893659i 0.839074 0.544017i \(-0.183097\pi\)
−0.890670 + 0.454651i \(0.849764\pi\)
\(168\) 9.64696e10i 0.720848i
\(169\) 1.49505e10 + 2.58950e10i 0.108448 + 0.187838i
\(170\) 1.74305e11 1.22762
\(171\) 1.47256e11i 1.00715i
\(172\) 2.89779e11 8.41633e10i 1.92497 0.559088i
\(173\) −2.14520e11 −1.38432 −0.692161 0.721743i \(-0.743341\pi\)
−0.692161 + 0.721743i \(0.743341\pi\)
\(174\) 9.27805e10i 0.581715i
\(175\) 1.08671e11 6.27414e10i 0.662102 0.382265i
\(176\) 2.55592e10 0.151351
\(177\) −9.50942e10 + 5.49027e10i −0.547379 + 0.316029i
\(178\) −5.17094e9 8.95632e9i −0.0289380 0.0501222i
\(179\) −2.61690e11 1.51087e11i −1.42404 0.822170i −0.427399 0.904063i \(-0.640570\pi\)
−0.996641 + 0.0818930i \(0.973903\pi\)
\(180\) 1.46883e11i 0.777334i
\(181\) 1.22675e11 2.12479e11i 0.631485 1.09376i −0.355763 0.934576i \(-0.615779\pi\)
0.987248 0.159188i \(-0.0508876\pi\)
\(182\) −1.50545e11 2.60751e11i −0.753892 1.30578i
\(183\) −1.63840e10 −0.0798299
\(184\) −2.09691e10 + 1.21065e10i −0.0994240 + 0.0574025i
\(185\) −1.14204e9 + 1.97808e9i −0.00527016 + 0.00912819i
\(186\) −2.57115e10 + 4.45336e10i −0.115495 + 0.200043i
\(187\) 2.56497e10 4.44265e10i 0.112169 0.194283i
\(188\) −6.68951e11 −2.84843
\(189\) −9.09855e10 + 1.57592e11i −0.377280 + 0.653467i
\(190\) 2.14526e11 + 1.23857e11i 0.866388 + 0.500209i
\(191\) −2.11932e11 + 1.22359e11i −0.833737 + 0.481359i −0.855131 0.518413i \(-0.826523\pi\)
0.0213932 + 0.999771i \(0.493190\pi\)
\(192\) −9.38701e10 + 5.41959e10i −0.359767 + 0.207711i
\(193\) 5.13591e11 1.91792 0.958961 0.283539i \(-0.0915086\pi\)
0.958961 + 0.283539i \(0.0915086\pi\)
\(194\) 7.52816e11i 2.73956i
\(195\) 2.47690e10 + 4.29011e10i 0.0878486 + 0.152158i
\(196\) 9.78812e9 + 1.69535e10i 0.0338391 + 0.0586110i
\(197\) −1.90083e11 + 3.29234e11i −0.640638 + 1.10962i 0.344652 + 0.938730i \(0.387997\pi\)
−0.985291 + 0.170887i \(0.945337\pi\)
\(198\) 5.61136e10 + 3.23972e10i 0.184392 + 0.106459i
\(199\) 2.37277e11i 0.760310i 0.924923 + 0.380155i \(0.124129\pi\)
−0.924923 + 0.380155i \(0.875871\pi\)
\(200\) −3.75300e11 2.16680e11i −1.17281 0.677124i
\(201\) −4.19195e10 2.42023e10i −0.127772 0.0737693i
\(202\) −2.46204e11 1.42146e11i −0.732046 0.422647i
\(203\) 1.35008e11 + 2.33840e11i 0.391633 + 0.678328i
\(204\) 4.48120e11i 1.26836i
\(205\) −7.44986e10 + 4.30118e10i −0.205769 + 0.118801i
\(206\) 4.37197e11 + 2.52416e11i 1.17853 + 0.680425i
\(207\) −2.06141e10 −0.0542391
\(208\) −1.74604e11 + 3.02423e11i −0.448475 + 0.776781i
\(209\) 6.31368e10 3.64520e10i 0.158326 0.0914093i
\(210\) 6.90798e10 + 1.19650e11i 0.169143 + 0.292965i
\(211\) 3.43038e11i 0.820220i −0.912036 0.410110i \(-0.865490\pi\)
0.912036 0.410110i \(-0.134510\pi\)
\(212\) −3.28539e11 5.69045e11i −0.767197 1.32882i
\(213\) −8.55494e10 −0.195128
\(214\) 5.69423e11i 1.26872i
\(215\) 1.49908e11 1.56297e11i 0.326311 0.340219i
\(216\) 6.28444e11 1.33659
\(217\) 1.49655e11i 0.311022i
\(218\) 1.08067e12 6.23924e11i 2.19488 1.26721i
\(219\) 8.93733e10 0.177414
\(220\) 6.29767e10 3.63596e10i 0.122199 0.0705514i
\(221\) 3.50444e11 + 6.06987e11i 0.664748 + 1.15138i
\(222\) 7.62243e9 + 4.40081e9i 0.0141361 + 0.00816146i
\(223\) 8.72319e11i 1.58180i 0.611947 + 0.790899i \(0.290387\pi\)
−0.611947 + 0.790899i \(0.709613\pi\)
\(224\) −4.35303e9 + 7.53967e9i −0.00771883 + 0.0133694i
\(225\) −1.84473e11 3.19516e11i −0.319904 0.554090i
\(226\) 9.21947e11 1.56374
\(227\) −3.49610e11 + 2.01848e11i −0.580036 + 0.334884i −0.761148 0.648579i \(-0.775364\pi\)
0.181112 + 0.983463i \(0.442030\pi\)
\(228\) 3.18423e11 5.51526e11i 0.516810 0.895141i
\(229\) 5.86576e11 1.01598e12i 0.931423 1.61327i 0.150532 0.988605i \(-0.451901\pi\)
0.780891 0.624667i \(-0.214765\pi\)
\(230\) −1.73385e10 + 3.00311e10i −0.0269384 + 0.0466586i
\(231\) 4.06615e10 0.0618192
\(232\) 4.66254e11 8.07576e11i 0.693718 1.20156i
\(233\) 9.36535e11 + 5.40709e11i 1.36378 + 0.787379i 0.990125 0.140189i \(-0.0447709\pi\)
0.373655 + 0.927568i \(0.378104\pi\)
\(234\) −7.66664e11 + 4.42633e11i −1.09276 + 0.630906i
\(235\) −4.15781e11 + 2.40051e11i −0.580130 + 0.334938i
\(236\) −2.20228e12 −3.00823
\(237\) 1.50267e11i 0.200966i
\(238\) 9.77376e11 + 1.69287e12i 1.27990 + 2.21686i
\(239\) 2.29666e11 + 3.97793e11i 0.294514 + 0.510114i 0.974872 0.222767i \(-0.0715088\pi\)
−0.680357 + 0.732880i \(0.738175\pi\)
\(240\) 8.01198e10 1.38772e11i 0.100620 0.174279i
\(241\) −2.73031e11 1.57634e11i −0.335835 0.193895i 0.322594 0.946538i \(-0.395445\pi\)
−0.658429 + 0.752643i \(0.728779\pi\)
\(242\) 1.40660e12i 1.69471i
\(243\) 7.17575e11 + 4.14292e11i 0.846908 + 0.488963i
\(244\) −2.84577e11 1.64301e11i −0.329042 0.189972i
\(245\) 1.21674e10 + 7.02487e9i 0.0137838 + 0.00795807i
\(246\) 1.65744e11 + 2.87077e11i 0.183977 + 0.318657i
\(247\) 9.96068e11i 1.08344i
\(248\) −4.47594e11 + 2.58419e11i −0.477118 + 0.275464i
\(249\) −5.57846e11 3.22072e11i −0.582797 0.336478i
\(250\) −1.41861e12 −1.45266
\(251\) 7.48379e11 1.29623e12i 0.751195 1.30111i −0.196049 0.980594i \(-0.562811\pi\)
0.947244 0.320514i \(-0.103856\pi\)
\(252\) −1.42654e12 + 8.23612e11i −1.40372 + 0.810438i
\(253\) 5.10285e9 + 8.83840e9i 0.00492278 + 0.00852650i
\(254\) 5.98872e11i 0.566455i
\(255\) −1.60807e11 2.78525e11i −0.149143 0.258323i
\(256\) −2.20386e12 −2.00440
\(257\) 3.54779e11i 0.316441i −0.987404 0.158221i \(-0.949424\pi\)
0.987404 0.158221i \(-0.0505757\pi\)
\(258\) −6.02284e11 5.77663e11i −0.526869 0.505331i
\(259\) −2.56151e10 −0.0219784
\(260\) 9.93542e11i 0.836218i
\(261\) 6.87540e11 3.96951e11i 0.567669 0.327744i
\(262\) −8.11789e11 −0.657562
\(263\) 3.83275e11 2.21284e11i 0.304601 0.175862i −0.339907 0.940459i \(-0.610396\pi\)
0.644508 + 0.764598i \(0.277062\pi\)
\(264\) −7.02130e10 1.21613e11i −0.0547517 0.0948328i
\(265\) −4.08400e11 2.35790e11i −0.312505 0.180425i
\(266\) 2.77800e12i 2.08605i
\(267\) −9.54100e9 + 1.65255e10i −0.00703133 + 0.0121786i
\(268\) −4.85405e11 8.40746e11i −0.351099 0.608122i
\(269\) −2.69230e11 −0.191144 −0.0955721 0.995423i \(-0.530468\pi\)
−0.0955721 + 0.995423i \(0.530468\pi\)
\(270\) 7.79449e11 4.50015e11i 0.543212 0.313623i
\(271\) 1.32221e12 2.29014e12i 0.904597 1.56681i 0.0831405 0.996538i \(-0.473505\pi\)
0.821457 0.570271i \(-0.193162\pi\)
\(272\) 1.13358e12 1.96341e12i 0.761388 1.31876i
\(273\) −2.77773e11 + 4.81118e11i −0.183180 + 0.317277i
\(274\) −8.57673e11 −0.555353
\(275\) −9.13296e10 + 1.58188e11i −0.0580695 + 0.100579i
\(276\) 7.72070e10 + 4.45755e10i 0.0482071 + 0.0278324i
\(277\) 1.50844e12 8.70900e11i 0.924976 0.534035i 0.0397566 0.999209i \(-0.487342\pi\)
0.885219 + 0.465174i \(0.154008\pi\)
\(278\) −4.25536e10 + 2.45683e10i −0.0256278 + 0.0147962i
\(279\) −4.40016e11 −0.260284
\(280\) 1.38860e12i 0.806840i
\(281\) −3.25566e11 5.63898e11i −0.185827 0.321861i 0.758028 0.652222i \(-0.226163\pi\)
−0.943855 + 0.330361i \(0.892830\pi\)
\(282\) 9.25026e11 + 1.60219e12i 0.518691 + 0.898398i
\(283\) −1.40201e12 + 2.42835e12i −0.772359 + 1.33776i 0.163908 + 0.986476i \(0.447590\pi\)
−0.936267 + 0.351289i \(0.885743\pi\)
\(284\) −1.48592e12 8.57897e11i −0.804274 0.464348i
\(285\) 4.57061e11i 0.243080i
\(286\) 3.79563e11 + 2.19141e11i 0.198360 + 0.114523i
\(287\) −8.35470e11 4.82359e11i −0.429063 0.247720i
\(288\) 2.21682e10 + 1.27988e10i 0.0111884 + 0.00645962i
\(289\) −1.26718e12 2.19481e12i −0.628561 1.08870i
\(290\) 1.33550e12i 0.651109i
\(291\) −1.20294e12 + 6.94518e11i −0.576473 + 0.332827i
\(292\) 1.55234e12 + 8.96244e11i 0.731261 + 0.422194i
\(293\) 9.71526e11 0.449900 0.224950 0.974370i \(-0.427778\pi\)
0.224950 + 0.974370i \(0.427778\pi\)
\(294\) 2.70700e10 4.68866e10i 0.0123240 0.0213458i
\(295\) −1.36880e12 + 7.90280e11i −0.612677 + 0.353729i
\(296\) 4.42313e10 + 7.66108e10i 0.0194657 + 0.0337156i
\(297\) 2.64886e11i 0.114624i
\(298\) 3.02268e12 + 5.23543e12i 1.28621 + 2.22777i
\(299\) −1.39438e11 −0.0583477
\(300\) 1.59560e12i 0.656627i
\(301\) 2.35855e12 + 5.79517e11i 0.954581 + 0.234549i
\(302\) 4.78260e11 0.190384
\(303\) 5.24553e11i 0.205389i
\(304\) 2.79030e12 1.61098e12i 1.07469 0.620473i
\(305\) −2.35835e11 −0.0893530
\(306\) 4.97738e12 2.87369e12i 1.85521 1.07111i
\(307\) −3.07736e11 5.33014e11i −0.112846 0.195455i 0.804071 0.594534i \(-0.202663\pi\)
−0.916917 + 0.399079i \(0.869330\pi\)
\(308\) 7.06256e11 + 4.07757e11i 0.254806 + 0.147112i
\(309\) 9.31475e11i 0.330658i
\(310\) −3.70097e11 + 6.41026e11i −0.129273 + 0.223907i
\(311\) 1.28402e11 + 2.22399e11i 0.0441337 + 0.0764419i 0.887248 0.461292i \(-0.152614\pi\)
−0.843115 + 0.537734i \(0.819281\pi\)
\(312\) 1.91860e12 0.648951
\(313\) 1.00473e12 5.80080e11i 0.334446 0.193093i −0.323367 0.946274i \(-0.604815\pi\)
0.657813 + 0.753181i \(0.271482\pi\)
\(314\) 2.13647e12 3.70047e12i 0.699920 1.21230i
\(315\) −5.91101e11 + 1.02382e12i −0.190594 + 0.330118i
\(316\) 1.50689e12 2.61002e12i 0.478242 0.828339i
\(317\) 3.46418e12 1.08219 0.541096 0.840961i \(-0.318010\pi\)
0.541096 + 0.840961i \(0.318010\pi\)
\(318\) −9.08606e11 + 1.57375e12i −0.279409 + 0.483950i
\(319\) −3.40390e11 1.96524e11i −0.103044 0.0594926i
\(320\) −1.35118e12 + 7.80107e11i −0.402684 + 0.232490i
\(321\) −9.09892e11 + 5.25327e11i −0.266971 + 0.154136i
\(322\) −3.88887e11 −0.112342
\(323\) 6.46673e12i 1.83938i
\(324\) 1.78682e12 + 3.09486e12i 0.500444 + 0.866795i
\(325\) −1.24781e12 2.16127e12i −0.344137 0.596063i
\(326\) −1.70292e12 + 2.94955e12i −0.462495 + 0.801065i
\(327\) −1.99396e12 1.15122e12i −0.533308 0.307906i
\(328\) 3.33169e12i 0.877597i
\(329\) −4.66280e12 2.69207e12i −1.20967 0.698404i
\(330\) −1.74168e11 1.00556e11i −0.0445040 0.0256944i
\(331\) −4.33592e12 2.50335e12i −1.09129 0.630059i −0.157373 0.987539i \(-0.550303\pi\)
−0.933921 + 0.357480i \(0.883636\pi\)
\(332\) −6.45954e12 1.11883e13i −1.60144 2.77378i
\(333\) 7.53136e10i 0.0183930i
\(334\) −6.43860e11 + 3.71733e11i −0.154903 + 0.0894332i
\(335\) −6.03398e11 3.48372e11i −0.143014 0.0825694i
\(336\) 1.79702e12 0.419620
\(337\) −7.56108e11 + 1.30962e12i −0.173954 + 0.301297i −0.939799 0.341728i \(-0.888988\pi\)
0.765845 + 0.643025i \(0.222321\pi\)
\(338\) 1.43633e12 8.29265e11i 0.325589 0.187979i
\(339\) −8.50552e11 1.47320e12i −0.189977 0.329051i
\(340\) 6.45033e12i 1.41967i
\(341\) 1.08922e11 + 1.88659e11i 0.0236236 + 0.0409172i
\(342\) 8.16790e12 1.74574
\(343\) 4.82429e12i 1.01616i
\(344\) −2.33942e12 8.05476e12i −0.485642 1.67209i
\(345\) 6.39831e10 0.0130909
\(346\) 1.18989e13i 2.39952i
\(347\) 5.55163e12 3.20524e12i 1.10350 0.637108i 0.166364 0.986064i \(-0.446797\pi\)
0.937139 + 0.348957i \(0.113464\pi\)
\(348\) −3.43344e12 −0.672718
\(349\) −1.65659e12 + 9.56433e11i −0.319954 + 0.184726i −0.651372 0.758758i \(-0.725806\pi\)
0.331418 + 0.943484i \(0.392473\pi\)
\(350\) −3.48010e12 6.02771e12i −0.662600 1.14766i
\(351\) 3.13420e12 + 1.80953e12i 0.588290 + 0.339650i
\(352\) 1.26730e10i 0.00234512i
\(353\) −4.94868e12 + 8.57136e12i −0.902850 + 1.56378i −0.0790735 + 0.996869i \(0.525196\pi\)
−0.823777 + 0.566914i \(0.808137\pi\)
\(354\) 3.04531e12 + 5.27463e12i 0.547791 + 0.948801i
\(355\) −1.23141e12 −0.218405
\(356\) −3.31438e11 + 1.91356e11i −0.0579632 + 0.0334651i
\(357\) 1.80338e12 3.12354e12i 0.310989 0.538649i
\(358\) −8.38039e12 + 1.45153e13i −1.42511 + 2.46837i
\(359\) 4.35983e11 7.55144e11i 0.0731134 0.126636i −0.827151 0.561980i \(-0.810040\pi\)
0.900264 + 0.435344i \(0.143373\pi\)
\(360\) 4.08278e12 0.675217
\(361\) 1.52957e12 2.64929e12i 0.249478 0.432109i
\(362\) −1.17857e13 6.80446e12i −1.89588 1.09459i
\(363\) 2.24764e12 1.29767e12i 0.356610 0.205889i
\(364\) −9.64938e12 + 5.57107e12i −1.51005 + 0.871830i
\(365\) 1.28646e12 0.198578
\(366\) 9.08780e11i 0.138374i
\(367\) 3.69720e12 + 6.40374e12i 0.555319 + 0.961841i 0.997879 + 0.0651021i \(0.0207373\pi\)
−0.442559 + 0.896739i \(0.645929\pi\)
\(368\) 2.25518e11 + 3.90609e11i 0.0334151 + 0.0578766i
\(369\) −1.41824e12 + 2.45646e12i −0.207308 + 0.359068i
\(370\) 1.09719e11 + 6.33462e10i 0.0158224 + 0.00913507i
\(371\) 5.28857e12i 0.752434i
\(372\) 1.64801e12 + 9.51482e11i 0.231338 + 0.133563i
\(373\) −1.19626e13 6.90661e12i −1.65684 0.956579i −0.974158 0.225868i \(-0.927478\pi\)
−0.682686 0.730712i \(-0.739188\pi\)
\(374\) −2.46422e12 1.42272e12i −0.336761 0.194429i
\(375\) 1.30875e12 + 2.26683e12i 0.176482 + 0.305677i
\(376\) 1.85943e13i 2.47424i
\(377\) 4.65065e12 2.68506e12i 0.610671 0.352571i
\(378\) 8.74119e12 + 5.04673e12i 1.13269 + 0.653959i
\(379\) 1.42773e13 1.82578 0.912891 0.408204i \(-0.133845\pi\)
0.912891 + 0.408204i \(0.133845\pi\)
\(380\) 4.58345e12 7.93877e12i 0.578461 1.00192i
\(381\) 9.56951e11 5.52496e11i 0.119197 0.0688183i
\(382\) 6.78692e12 + 1.17553e13i 0.834365 + 1.44516i
\(383\) 3.69822e12i 0.448745i 0.974503 + 0.224372i \(0.0720332\pi\)
−0.974503 + 0.224372i \(0.927967\pi\)
\(384\) 3.03372e12 + 5.25456e12i 0.363345 + 0.629332i
\(385\) 5.85290e11 0.0691938
\(386\) 2.84875e13i 3.32444i
\(387\) 1.70390e12 6.93463e12i 0.196286 0.798856i
\(388\) −2.78588e13 −3.16813
\(389\) 9.73526e12i 1.09295i 0.837476 + 0.546474i \(0.184030\pi\)
−0.837476 + 0.546474i \(0.815970\pi\)
\(390\) 2.37961e12 1.37387e12i 0.263744 0.152273i
\(391\) 9.05265e11 0.0990585
\(392\) 4.71244e11 2.72073e11i 0.0509114 0.0293937i
\(393\) 7.48924e11 + 1.29717e12i 0.0798868 + 0.138368i
\(394\) 1.82617e13 + 1.05434e13i 1.92336 + 1.11045i
\(395\) 2.16298e12i 0.224940i
\(396\) 1.19889e12 2.07654e12i 0.123113 0.213238i
\(397\) 6.32056e12 + 1.09475e13i 0.640919 + 1.11010i 0.985228 + 0.171248i \(0.0547800\pi\)
−0.344309 + 0.938857i \(0.611887\pi\)
\(398\) 1.31611e13 1.31789
\(399\) 4.43902e12 2.56287e12i 0.438958 0.253432i
\(400\) −4.03627e12 + 6.99103e12i −0.394167 + 0.682718i
\(401\) −4.56807e12 + 7.91213e12i −0.440566 + 0.763083i −0.997732 0.0673187i \(-0.978556\pi\)
0.557166 + 0.830401i \(0.311889\pi\)
\(402\) −1.34244e12 + 2.32517e12i −0.127868 + 0.221474i
\(403\) −2.97635e12 −0.280001
\(404\) −5.26027e12 + 9.11105e12i −0.488766 + 0.846567i
\(405\) 2.22116e12 + 1.28239e12i 0.203848 + 0.117691i
\(406\) 1.29705e13 7.48853e12i 1.17578 0.678838i
\(407\) 3.22911e10 1.86433e10i 0.00289142 0.00166936i
\(408\) −1.24561e13 −1.10174
\(409\) 1.21466e13i 1.06130i −0.847590 0.530652i \(-0.821947\pi\)
0.847590 0.530652i \(-0.178053\pi\)
\(410\) 2.38575e12 + 4.13224e12i 0.205924 + 0.356670i
\(411\) 7.91255e11 + 1.37049e12i 0.0674695 + 0.116861i
\(412\) 9.34091e12 1.61789e13i 0.786871 1.36290i
\(413\) −1.53506e13 8.86265e12i −1.27754 0.737587i
\(414\) 1.14341e12i 0.0940155i
\(415\) −8.02974e12 4.63597e12i −0.652321 0.376618i
\(416\) 1.49950e11 + 8.65737e10i 0.0120359 + 0.00694895i
\(417\) 7.85164e10 + 4.53315e10i 0.00622702 + 0.00359517i
\(418\) −2.02190e12 3.50203e12i −0.158445 0.274434i
\(419\) 1.97604e13i 1.53012i 0.643957 + 0.765061i \(0.277291\pi\)
−0.643957 + 0.765061i \(0.722709\pi\)
\(420\) 4.42777e12 2.55637e12i 0.338796 0.195604i
\(421\) 1.16020e13 + 6.69840e12i 0.877246 + 0.506478i 0.869749 0.493494i \(-0.164280\pi\)
0.00749636 + 0.999972i \(0.497614\pi\)
\(422\) −1.90274e13 −1.42173
\(423\) −7.91525e12 + 1.37096e13i −0.584470 + 1.01233i
\(424\) −1.58173e13 + 9.13213e12i −1.15426 + 0.666412i
\(425\) 8.10111e12 + 1.40315e13i 0.584251 + 1.01195i
\(426\) 4.74520e12i 0.338225i
\(427\) −1.32239e12 2.29045e12i −0.0931583 0.161355i
\(428\) −2.10721e13 −1.46720
\(429\) 8.08682e11i 0.0556534i
\(430\) −8.66939e12 8.31499e12i −0.589721 0.565613i
\(431\) 1.05002e13 0.706010 0.353005 0.935621i \(-0.385160\pi\)
0.353005 + 0.935621i \(0.385160\pi\)
\(432\) 1.17065e13i 0.778054i
\(433\) 2.08025e13 1.20103e13i 1.36671 0.789070i 0.376203 0.926537i \(-0.377229\pi\)
0.990506 + 0.137467i \(0.0438961\pi\)
\(434\) −8.30095e12 −0.539112
\(435\) −2.13402e12 + 1.23208e12i −0.137010 + 0.0791029i
\(436\) −2.30890e13 3.99913e13i −1.46545 2.53824i
\(437\) 1.11416e12 + 6.43259e11i 0.0699100 + 0.0403626i
\(438\) 4.95730e12i 0.307521i
\(439\) −8.23629e12 + 1.42657e13i −0.505137 + 0.874923i 0.494846 + 0.868981i \(0.335225\pi\)
−0.999982 + 0.00594160i \(0.998109\pi\)
\(440\) −1.01066e12 1.75051e12i −0.0612832 0.106146i
\(441\) 4.63265e11 0.0277739
\(442\) 3.36680e13 1.94382e13i 1.99575 1.15224i
\(443\) −9.32822e12 + 1.61570e13i −0.546739 + 0.946980i 0.451756 + 0.892142i \(0.350798\pi\)
−0.998495 + 0.0548386i \(0.982536\pi\)
\(444\) 1.62857e11 2.82076e11i 0.00943824 0.0163475i
\(445\) −1.37335e11 + 2.37871e11i −0.00787012 + 0.0136314i
\(446\) 4.83852e13 2.74182
\(447\) 5.57720e12 9.66000e12i 0.312521 0.541302i
\(448\) −1.51529e13 8.74856e12i −0.839667 0.484782i
\(449\) 2.53831e13 1.46550e13i 1.39096 0.803069i 0.397535 0.917587i \(-0.369866\pi\)
0.993421 + 0.114518i \(0.0365325\pi\)
\(450\) −1.77227e13 + 1.02322e13i −0.960435 + 0.554508i
\(451\) 1.40429e12 0.0752618
\(452\) 3.41176e13i 1.80837i
\(453\) −4.41224e11 7.64222e11i −0.0231296 0.0400616i
\(454\) 1.11959e13 + 1.93920e13i 0.580473 + 1.00541i
\(455\) −3.99832e12 + 6.92530e12i −0.205032 + 0.355125i
\(456\) −1.53303e13 8.85097e12i −0.777548 0.448918i
\(457\) 2.37498e13i 1.19146i −0.803186 0.595728i \(-0.796864\pi\)
0.803186 0.595728i \(-0.203136\pi\)
\(458\) −5.63537e13 3.25358e13i −2.79637 1.61449i
\(459\) −2.03481e13 1.17480e13i −0.998756 0.576632i
\(460\) 1.11133e12 + 6.41628e11i 0.0539579 + 0.0311526i
\(461\) −2.18304e12 3.78114e12i −0.104847 0.181601i 0.808828 0.588045i \(-0.200102\pi\)
−0.913676 + 0.406444i \(0.866769\pi\)
\(462\) 2.25539e12i 0.107155i
\(463\) 1.29016e13 7.44874e12i 0.606371 0.350088i −0.165173 0.986265i \(-0.552818\pi\)
0.771544 + 0.636176i \(0.219485\pi\)
\(464\) −1.50434e13 8.68531e12i −0.699449 0.403827i
\(465\) 1.36575e12 0.0628210
\(466\) 2.99917e13 5.19471e13i 1.36481 2.36392i
\(467\) −2.18661e13 + 1.26244e13i −0.984434 + 0.568363i −0.903606 0.428365i \(-0.859090\pi\)
−0.0808284 + 0.996728i \(0.525757\pi\)
\(468\) 1.63801e13 + 2.83712e13i 0.729605 + 1.26371i
\(469\) 7.81368e12i 0.344343i
\(470\) 1.33150e13 + 2.30623e13i 0.580566 + 1.00557i
\(471\) −7.88408e12 −0.340131
\(472\) 6.12149e13i 2.61305i
\(473\) −3.39505e12 + 9.86056e11i −0.143397 + 0.0416482i
\(474\) −8.33493e12 −0.348346
\(475\) 2.30258e13i 0.952241i
\(476\) 6.26463e13 3.61688e13i 2.56366 1.48013i
\(477\) −1.55495e13 −0.629686
\(478\) 2.20645e13 1.27389e13i 0.884208 0.510498i
\(479\) 1.98643e13 + 3.44060e13i 0.787764 + 1.36445i 0.927334 + 0.374235i \(0.122095\pi\)
−0.139570 + 0.990212i \(0.544572\pi\)
\(480\) −6.88069e10 3.97257e10i −0.00270038 0.00155907i
\(481\) 5.09436e11i 0.0197863i
\(482\) −8.74356e12 + 1.51443e13i −0.336088 + 0.582122i
\(483\) 3.58771e11 + 6.21410e11i 0.0136484 + 0.0236397i
\(484\) 5.20528e13 1.95982
\(485\) −1.73154e13 + 9.99703e12i −0.645242 + 0.372531i
\(486\) 2.29797e13 3.98020e13i 0.847546 1.46799i
\(487\) −1.74765e13 + 3.02703e13i −0.637985 + 1.10502i 0.347889 + 0.937536i \(0.386899\pi\)
−0.985874 + 0.167487i \(0.946435\pi\)
\(488\) −4.56694e12 + 7.91017e12i −0.165016 + 0.285816i
\(489\) 6.28420e12 0.224753
\(490\) 3.89651e11 6.74895e11i 0.0137942 0.0238922i
\(491\) 3.01426e13 + 1.74028e13i 1.05627 + 0.609835i 0.924397 0.381432i \(-0.124569\pi\)
0.131868 + 0.991267i \(0.457902\pi\)
\(492\) 1.06236e13 6.13353e12i 0.368507 0.212758i
\(493\) −3.01932e13 + 1.74321e13i −1.03675 + 0.598569i
\(494\) 5.52493e13 1.87798
\(495\) 1.72087e12i 0.0579059i
\(496\) 4.81378e12 + 8.33771e12i 0.160353 + 0.277740i
\(497\) −6.90489e12 1.19596e13i −0.227706 0.394399i
\(498\) −1.78645e13 + 3.09422e13i −0.583236 + 1.01019i
\(499\) 9.61264e11 + 5.54986e11i 0.0310699 + 0.0179382i 0.515454 0.856917i \(-0.327623\pi\)
−0.484385 + 0.874855i \(0.660956\pi\)
\(500\) 5.24972e13i 1.67991i
\(501\) 1.18800e12 + 6.85892e11i 0.0376381 + 0.0217304i
\(502\) −7.18985e13 4.15106e13i −2.25528 1.30209i
\(503\) −4.84644e13 2.79809e13i −1.50516 0.869005i −0.999982 0.00599026i \(-0.998093\pi\)
−0.505179 0.863015i \(-0.668573\pi\)
\(504\) 2.28933e13 + 3.96524e13i 0.703973 + 1.21932i
\(505\) 7.55052e12i 0.229890i
\(506\) 4.90243e11 2.83042e11i 0.0147795 0.00853292i
\(507\) −2.65020e12 1.53009e12i −0.0791113 0.0456749i
\(508\) 2.21619e13 0.655071
\(509\) 1.49212e13 2.58443e13i 0.436733 0.756443i −0.560703 0.828017i \(-0.689469\pi\)
0.997435 + 0.0715741i \(0.0228022\pi\)
\(510\) −1.54491e13 + 8.91952e12i −0.447766 + 0.258518i
\(511\) 7.21353e12 + 1.24942e13i 0.207035 + 0.358595i
\(512\) 6.15346e13i 1.74892i
\(513\) −1.66956e13 2.89177e13i −0.469911 0.813910i
\(514\) −1.96787e13 −0.548505
\(515\) 1.34078e13i 0.370103i
\(516\) −2.13770e13 + 2.22882e13i −0.584384 + 0.609292i
\(517\) 7.83743e12 0.212188
\(518\) 1.42080e12i 0.0380964i
\(519\) 1.90134e13 1.09774e13i 0.504921 0.291517i
\(520\) 2.76167e13 0.726366
\(521\) −1.38465e13 + 7.99426e12i −0.360703 + 0.208252i −0.669389 0.742912i \(-0.733444\pi\)
0.308686 + 0.951164i \(0.400111\pi\)
\(522\) −2.20178e13 3.81360e13i −0.568097 0.983972i
\(523\) −2.80946e13 1.62204e13i −0.717984 0.414528i 0.0960264 0.995379i \(-0.469387\pi\)
−0.814010 + 0.580851i \(0.802720\pi\)
\(524\) 3.00411e13i 0.760431i
\(525\) −6.42121e12 + 1.11219e13i −0.160998 + 0.278856i
\(526\) −1.22740e13 2.12592e13i −0.304831 0.527982i
\(527\) 1.93232e13 0.475365
\(528\) −2.26538e12 + 1.30792e12i −0.0552040 + 0.0318721i
\(529\) 2.06232e13 3.57204e13i 0.497826 0.862260i
\(530\) −1.30787e13 + 2.26529e13i −0.312740 + 0.541682i
\(531\) −2.60580e13 + 4.51338e13i −0.617261 + 1.06913i
\(532\) 1.02803e14 2.41239
\(533\) −9.59322e12 + 1.66160e13i −0.223012 + 0.386268i
\(534\) 9.16626e11 + 5.29214e11i 0.0211099 + 0.0121878i
\(535\) −1.30972e13 + 7.56165e12i −0.298819 + 0.172523i
\(536\) −2.33696e13 + 1.34924e13i −0.528234 + 0.304976i
\(537\) 3.09257e13 0.692544
\(538\) 1.49335e13i 0.331321i
\(539\) −1.14677e11 1.98627e11i −0.00252078 0.00436611i
\(540\) −1.66533e13 2.88443e13i −0.362686 0.628191i
\(541\) 2.02932e13 3.51488e13i 0.437888 0.758445i −0.559638 0.828737i \(-0.689060\pi\)
0.997526 + 0.0702923i \(0.0223932\pi\)
\(542\) −1.27028e14 7.33397e13i −2.71584 1.56799i
\(543\) 2.51101e13i 0.531923i
\(544\) −9.73514e11 5.62059e11i −0.0204337 0.0117974i
\(545\) −2.87015e13 1.65708e13i −0.596928 0.344637i
\(546\) 2.66863e13 + 1.54074e13i 0.549953 + 0.317516i
\(547\) 1.69743e12 + 2.94003e12i 0.0346621 + 0.0600364i 0.882836 0.469681i \(-0.155631\pi\)
−0.848174 + 0.529718i \(0.822298\pi\)
\(548\) 3.17391e13i 0.642232i
\(549\) −6.73441e12 + 3.88812e12i −0.135032 + 0.0779610i
\(550\) 8.77425e12 + 5.06581e12i 0.174340 + 0.100655i
\(551\) −4.95472e13 −0.975577
\(552\) 1.23903e12 2.14606e12i 0.0241761 0.0418743i
\(553\) 2.10071e13 1.21284e13i 0.406200 0.234519i
\(554\) −4.83066e13 8.36694e13i −0.925672 1.60331i
\(555\) 2.33763e11i 0.00443925i
\(556\) 9.09176e11 + 1.57474e12i 0.0171109 + 0.0296370i
\(557\) −7.14277e13 −1.33226 −0.666132 0.745833i \(-0.732051\pi\)
−0.666132 + 0.745833i \(0.732051\pi\)
\(558\) 2.44065e13i 0.451164i
\(559\) 1.15255e13 4.69072e13i 0.211155 0.859370i
\(560\) 2.58666e13 0.469677
\(561\) 5.25017e12i 0.0944842i
\(562\) −3.12779e13 + 1.80583e13i −0.557900 + 0.322104i
\(563\) −9.58702e13 −1.69489 −0.847446 0.530882i \(-0.821861\pi\)
−0.847446 + 0.530882i \(0.821861\pi\)
\(564\) 5.92908e13 3.42316e13i 1.03894 0.599834i
\(565\) −1.22430e13 2.12055e13i −0.212640 0.368304i
\(566\) 1.34694e14 + 7.77658e13i 2.31882 + 1.33877i
\(567\) 2.87629e13i 0.490814i
\(568\) −2.38463e13 + 4.13030e13i −0.403347 + 0.698618i
\(569\) −2.17109e13 3.76044e13i −0.364013 0.630489i 0.624604 0.780941i \(-0.285260\pi\)
−0.988617 + 0.150452i \(0.951927\pi\)
\(570\) −2.53520e13 −0.421345
\(571\) 3.38371e12 1.95359e12i 0.0557458 0.0321849i −0.471868 0.881669i \(-0.656420\pi\)
0.527614 + 0.849484i \(0.323087\pi\)
\(572\) 8.10954e12 1.40461e13i 0.132439 0.229391i
\(573\) 1.25227e13 2.16899e13i 0.202733 0.351144i
\(574\) −2.67552e13 + 4.63413e13i −0.429386 + 0.743719i
\(575\) −3.22334e12 −0.0512822
\(576\) −2.57226e13 + 4.45528e13i −0.405698 + 0.702689i
\(577\) 9.76120e13 + 5.63563e13i 1.52624 + 0.881178i 0.999515 + 0.0311451i \(0.00991538\pi\)
0.526730 + 0.850033i \(0.323418\pi\)
\(578\) −1.21740e14 + 7.02869e13i −1.88710 + 1.08952i
\(579\) −4.55208e13 + 2.62815e13i −0.699548 + 0.403884i
\(580\) −4.94216e13 −0.752969
\(581\) 1.03981e14i 1.57063i
\(582\) 3.85231e13 + 6.67240e13i 0.576908 + 0.999233i
\(583\) 3.84915e12 + 6.66693e12i 0.0571508 + 0.0989881i
\(584\) 2.49122e13 4.31492e13i 0.366731 0.635197i
\(585\) 2.03618e13 + 1.17559e13i 0.297192 + 0.171584i
\(586\) 5.38880e13i 0.779837i
\(587\) 1.05079e14 + 6.06674e13i 1.50774 + 0.870492i 0.999959 + 0.00900328i \(0.00286587\pi\)
0.507777 + 0.861489i \(0.330467\pi\)
\(588\) −1.73509e12 1.00175e12i −0.0246851 0.0142520i
\(589\) 2.37821e13 + 1.37306e13i 0.335486 + 0.193693i
\(590\) 4.38347e13 + 7.59240e13i 0.613138 + 1.06199i
\(591\) 3.89077e13i 0.539633i
\(592\) 1.42709e12 8.23932e11i 0.0196265 0.0113314i
\(593\) 4.58225e13 + 2.64556e13i 0.624893 + 0.360782i 0.778772 0.627308i \(-0.215843\pi\)
−0.153879 + 0.988090i \(0.549176\pi\)
\(594\) −1.46925e13 −0.198685
\(595\) 2.59582e13 4.49608e13i 0.348088 0.602906i
\(596\) 1.93743e14 1.11857e14i 2.57628 1.48742i
\(597\) −1.21419e13 2.10305e13i −0.160109 0.277317i
\(598\) 7.73424e12i 0.101137i
\(599\) 5.60925e13 + 9.71550e13i 0.727395 + 1.25989i 0.957981 + 0.286833i \(0.0926025\pi\)
−0.230585 + 0.973052i \(0.574064\pi\)
\(600\) 4.43517e13 0.570367
\(601\) 1.71570e13i 0.218811i −0.993997 0.109405i \(-0.965105\pi\)
0.993997 0.109405i \(-0.0348946\pi\)
\(602\) 3.21443e13 1.30823e14i 0.406557 1.65463i
\(603\) −2.29739e13 −0.288169
\(604\) 1.76985e13i 0.220167i
\(605\) 3.23529e13 1.86790e13i 0.399151 0.230450i
\(606\) 2.90956e13 0.356011
\(607\) 1.14183e14 6.59234e13i 1.38566 0.800011i 0.392837 0.919608i \(-0.371494\pi\)
0.992823 + 0.119597i \(0.0381602\pi\)
\(608\) −7.98770e11 1.38351e12i −0.00961400 0.0166519i
\(609\) −2.39322e13 1.38172e13i −0.285690 0.164943i
\(610\) 1.30812e13i 0.154881i
\(611\) −5.35403e13 + 9.27345e13i −0.628745 + 1.08902i
\(612\) −1.06344e14 1.84193e14i −1.23867 2.14544i
\(613\) 1.46240e14 1.68952 0.844758 0.535148i \(-0.179744\pi\)
0.844758 + 0.535148i \(0.179744\pi\)
\(614\) −2.95649e13 + 1.70693e13i −0.338793 + 0.195602i
\(615\) 4.40200e12 7.62449e12i 0.0500350 0.0866632i
\(616\) 1.13341e13 1.96313e13i 0.127786 0.221332i
\(617\) 6.93348e13 1.20091e14i 0.775400 1.34303i −0.159170 0.987251i \(-0.550882\pi\)
0.934570 0.355780i \(-0.115785\pi\)
\(618\) −5.16665e13 −0.573147
\(619\) −1.94920e13 + 3.37611e13i −0.214488 + 0.371503i −0.953114 0.302612i \(-0.902141\pi\)
0.738626 + 0.674115i \(0.235475\pi\)
\(620\) 2.37218e13 + 1.36958e13i 0.258935 + 0.149496i
\(621\) 4.04813e12 2.33719e12i 0.0438325 0.0253067i
\(622\) 1.23359e13 7.12213e12i 0.132501 0.0764994i
\(623\) −3.08031e12 −0.0328211
\(624\) 3.57394e13i 0.377767i
\(625\) −1.82486e13 3.16075e13i −0.191350 0.331429i
\(626\) −3.21755e13 5.57296e13i −0.334698 0.579714i
\(627\) −3.73065e12 + 6.46167e12i −0.0384987 + 0.0666817i
\(628\) −1.36940e14 7.90623e13i −1.40195 0.809415i
\(629\) 3.30739e12i 0.0335917i
\(630\) 5.67885e13 + 3.27868e13i 0.572212 + 0.330367i
\(631\) −1.95985e13 1.13152e13i −0.195919 0.113114i 0.398831 0.917024i \(-0.369416\pi\)
−0.594751 + 0.803910i \(0.702749\pi\)
\(632\) −7.25486e13 4.18860e13i −0.719521 0.415416i
\(633\) 1.75539e13 + 3.04043e13i 0.172725 + 0.299169i
\(634\) 1.92149e14i 1.87582i
\(635\) 1.37745e13 7.95273e12i 0.133416 0.0770278i
\(636\) 5.82384e13 + 3.36239e13i 0.559659 + 0.323119i
\(637\) 3.13361e12 0.0298778
\(638\) −1.09007e13 + 1.88805e13i −0.103122 + 0.178612i
\(639\) −3.51638e13 + 2.03018e13i −0.330059 + 0.190559i
\(640\) 4.36679e13 + 7.56351e13i 0.406689 + 0.704407i
\(641\) 2.37021e13i 0.219026i −0.993985 0.109513i \(-0.965071\pi\)
0.993985 0.109513i \(-0.0349292\pi\)
\(642\) 2.91385e13 + 5.04693e13i 0.267172 + 0.462756i
\(643\) 6.47435e13 0.589035 0.294517 0.955646i \(-0.404841\pi\)
0.294517 + 0.955646i \(0.404841\pi\)
\(644\) 1.43912e13i 0.129917i
\(645\) −5.28866e12 + 2.15241e13i −0.0473747 + 0.192808i
\(646\) −3.58692e14 −3.18830
\(647\) 4.99324e13i 0.440414i −0.975453 0.220207i \(-0.929327\pi\)
0.975453 0.220207i \(-0.0706733\pi\)
\(648\) 8.60255e13 4.96668e13i 0.752926 0.434702i
\(649\) 2.58018e13 0.224092
\(650\) −1.19880e14 + 6.92128e13i −1.03319 + 0.596512i
\(651\) 7.65812e12 + 1.32643e13i 0.0654964 + 0.113443i
\(652\) 1.09151e14 + 6.30185e13i 0.926383 + 0.534848i
\(653\) 1.61272e14i 1.35830i 0.734002 + 0.679148i \(0.237650\pi\)
−0.734002 + 0.679148i \(0.762350\pi\)
\(654\) −6.38549e13 + 1.10600e14i −0.533710 + 0.924413i
\(655\) 1.07802e13 + 1.86718e13i 0.0894167 + 0.154874i
\(656\) 6.20621e13 0.510866
\(657\) 3.67356e13 2.12093e13i 0.300096 0.173260i
\(658\) −1.49322e14 + 2.58633e14i −1.21058 + 2.09679i
\(659\) 3.63811e13 6.30139e13i 0.292717 0.507001i −0.681734 0.731600i \(-0.738774\pi\)
0.974451 + 0.224599i \(0.0721072\pi\)
\(660\) −3.72119e12 + 6.44528e12i −0.0297140 + 0.0514662i
\(661\) −1.16513e12 −0.00923353 −0.00461677 0.999989i \(-0.501470\pi\)
−0.00461677 + 0.999989i \(0.501470\pi\)
\(662\) −1.38854e14 + 2.40502e14i −1.09212 + 1.89160i
\(663\) −6.21214e13 3.58658e13i −0.484924 0.279971i
\(664\) −3.10991e14 + 1.79551e14i −2.40939 + 1.39106i
\(665\) 6.38962e13 3.68905e13i 0.491322 0.283665i
\(666\) 4.17745e12 0.0318816
\(667\) 6.93602e12i 0.0525389i
\(668\) 1.37564e13 + 2.38267e13i 0.103424 + 0.179136i
\(669\) −4.46383e13 7.73158e13i −0.333102 0.576949i
\(670\) −1.93233e13 + 3.34689e13i −0.143122 + 0.247895i
\(671\) 3.33410e12 + 1.92494e12i 0.0245113 + 0.0141516i
\(672\) 8.91012e11i 0.00650186i
\(673\) −1.04078e14 6.00894e13i −0.753846 0.435233i 0.0732356 0.997315i \(-0.476668\pi\)
−0.827082 + 0.562081i \(0.810001\pi\)
\(674\) 7.26410e13 + 4.19393e13i 0.522255 + 0.301524i
\(675\) 7.24525e13 + 4.18304e13i 0.517052 + 0.298520i
\(676\) −3.06878e13 5.31528e13i −0.217386 0.376524i
\(677\) 2.66191e14i 1.87176i −0.352323 0.935878i \(-0.614608\pi\)
0.352323 0.935878i \(-0.385392\pi\)
\(678\) −8.17144e13 + 4.71779e13i −0.570362 + 0.329298i
\(679\) −1.94184e14 1.12112e14i −1.34544 0.776792i
\(680\) −1.79295e14 −1.23317
\(681\) 2.06579e13 3.57805e13i 0.141043 0.244293i
\(682\) 1.04644e13 6.04164e12i 0.0709241 0.0409480i
\(683\) 1.03570e14 + 1.79389e14i 0.696838 + 1.20696i 0.969557 + 0.244866i \(0.0787438\pi\)
−0.272719 + 0.962094i \(0.587923\pi\)
\(684\) 3.02262e14i 2.01884i
\(685\) 1.13895e13 + 1.97272e13i 0.0755181 + 0.130801i
\(686\) 2.67591e14 1.76137
\(687\) 1.20065e14i 0.784572i
\(688\) −1.50043e14 + 4.35783e13i −0.973358 + 0.282702i
\(689\) −1.05180e14 −0.677386
\(690\) 3.54897e12i 0.0226912i
\(691\) −4.46569e12 + 2.57827e12i −0.0283464 + 0.0163658i −0.514106 0.857727i \(-0.671876\pi\)
0.485760 + 0.874092i \(0.338543\pi\)
\(692\) 4.40330e14 2.77490
\(693\) 1.67133e13 9.64943e12i 0.104567 0.0603720i
\(694\) −1.77786e14 3.07934e14i −1.10433 1.91276i
\(695\) 1.13018e12 + 6.52510e11i 0.00696986 + 0.00402405i
\(696\) 9.54366e13i 0.584345i
\(697\) 6.22817e13 1.07875e14i 0.378614 0.655778i
\(698\) 5.30508e13 + 9.18867e13i 0.320195 + 0.554595i
\(699\) −1.10677e14 −0.663238
\(700\) −2.23062e14 + 1.28785e14i −1.32720 + 0.766257i
\(701\) −5.49295e13 + 9.51407e13i −0.324501 + 0.562052i −0.981411 0.191917i \(-0.938530\pi\)
0.656910 + 0.753969i \(0.271863\pi\)
\(702\) 1.00370e14 1.73846e14i 0.588733 1.01972i
\(703\) 2.35015e12 4.07058e12i 0.0136873 0.0237072i
\(704\) 2.54697e13 0.147286
\(705\) 2.45678e13 4.25526e13i 0.141065 0.244332i
\(706\) 4.75431e14 + 2.74490e14i 2.71059 + 1.56496i
\(707\) −7.33314e13 + 4.23379e13i −0.415138 + 0.239680i
\(708\) 1.95193e14 1.12695e14i 1.09723 0.633487i
\(709\) 1.88177e14 1.05035 0.525176 0.850994i \(-0.324000\pi\)
0.525176 + 0.850994i \(0.324000\pi\)
\(710\) 6.83033e13i 0.378573i
\(711\) −3.56601e13 6.17651e13i −0.196261 0.339935i
\(712\) 5.31897e12 + 9.21273e12i 0.0290688 + 0.0503487i
\(713\) −1.92212e12 + 3.32922e12i −0.0104312 + 0.0180674i
\(714\) −1.73255e14 1.00029e14i −0.933670 0.539055i
\(715\) 1.16403e13i 0.0622924i
\(716\) 5.37153e14 + 3.10125e14i 2.85452 + 1.64806i
\(717\) −4.07117e13 2.35049e13i −0.214844 0.124040i
\(718\) −4.18859e13 2.41828e13i −0.219505 0.126731i
\(719\) 7.21039e13 + 1.24888e14i 0.375244 + 0.649942i 0.990364 0.138492i \(-0.0442255\pi\)
−0.615119 + 0.788434i \(0.710892\pi\)
\(720\) 7.60533e13i 0.393057i
\(721\) 1.30218e14 7.51815e13i 0.668337 0.385864i
\(722\) −1.46949e14 8.48411e13i −0.748998 0.432434i
\(723\) 3.22658e13 0.163325
\(724\) −2.51806e14 + 4.36141e14i −1.26582 + 2.19247i
\(725\) 1.07508e14 6.20696e13i 0.536722 0.309877i
\(726\) −7.19786e13 1.24671e14i −0.356878 0.618132i
\(727\) 1.67853e14i 0.826527i 0.910611 + 0.413264i \(0.135611\pi\)
−0.910611 + 0.413264i \(0.864389\pi\)
\(728\) 1.54855e14 + 2.68216e14i 0.757300 + 1.31168i
\(729\) 1.80041e13 0.0874447
\(730\) 7.13564e13i 0.344206i
\(731\) −7.48266e13 + 3.04534e14i −0.358483 + 1.45898i
\(732\) 3.36304e13 0.160021
\(733\) 4.95951e13i 0.234379i −0.993110 0.117190i \(-0.962611\pi\)
0.993110 0.117190i \(-0.0373885\pi\)
\(734\) 3.55199e14 2.05074e14i 1.66721 0.962566i
\(735\) −1.43791e12 −0.00670338
\(736\) 1.93675e11 1.11818e11i 0.000896777 0.000517755i
\(737\) 5.68700e12 + 9.85017e12i 0.0261544 + 0.0453008i
\(738\) 1.36253e14 + 7.86658e13i 0.622393 + 0.359339i
\(739\) 3.42942e14i 1.55596i 0.628288 + 0.777981i \(0.283756\pi\)
−0.628288 + 0.777981i \(0.716244\pi\)
\(740\) 2.34419e12 4.06026e12i 0.0105641 0.0182976i
\(741\) −5.09708e13 8.82839e13i −0.228155 0.395176i
\(742\) −2.93343e14 −1.30424
\(743\) −2.01896e14 + 1.16565e14i −0.891629 + 0.514782i −0.874475 0.485070i \(-0.838794\pi\)
−0.0171542 + 0.999853i \(0.505461\pi\)
\(744\) 2.64476e13 4.58086e13i 0.116017 0.200947i
\(745\) 8.02793e13 1.39048e14i 0.349802 0.605875i
\(746\) −3.83092e14 + 6.63534e14i −1.65809 + 2.87190i
\(747\) −3.05726e14 −1.31440
\(748\) −5.26492e13 + 9.11911e13i −0.224845 + 0.389444i
\(749\) −1.46879e14 8.48007e13i −0.623090 0.359741i
\(750\) 1.25735e14 7.25931e13i 0.529846 0.305907i
\(751\) 1.35989e14 7.85132e13i 0.569251 0.328657i −0.187599 0.982246i \(-0.560071\pi\)
0.756850 + 0.653589i \(0.226737\pi\)
\(752\) 3.46372e14 1.44030
\(753\) 1.53184e14i 0.632760i
\(754\) −1.48933e14 2.57959e14i −0.611131 1.05851i
\(755\) −6.35106e12 1.10004e13i −0.0258888 0.0448407i
\(756\) 1.86759e14 3.23477e14i 0.756264 1.30989i
\(757\) −4.63745e13 2.67743e13i −0.186552 0.107706i 0.403815 0.914840i \(-0.367684\pi\)
−0.590367 + 0.807135i \(0.701017\pi\)
\(758\) 7.91922e14i 3.16473i
\(759\) −9.04556e11 5.22246e11i −0.00359109 0.00207332i
\(760\) −2.20668e14 1.27403e14i −0.870304 0.502470i
\(761\) −1.57323e13 9.08302e12i −0.0616407