Properties

Label 14.13.d.a.3.3
Level $14$
Weight $13$
Character 14.3
Analytic conductor $12.796$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 14 = 2 \cdot 7 \)
Weight: \( k \) \(=\) \( 13 \)
Character orbit: \([\chi]\) \(=\) 14.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.7959134419\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 527434 x^{14} - 31307480 x^{13} + 193554267483 x^{12} - 12267558721140 x^{11} + 36740634631350658 x^{10} - 2684653740993140180 x^{9} + 5051027688394458110177 x^{8} - 329042050982173184619740 x^{7} + 328571000441888143595366884 x^{6} - 20799163177686535050419379920 x^{5} + 15169931128056380497155715556632 x^{4} - 685746033739471361446313307383040 x^{3} + 159607415711477686151635843287775328 x^{2} + 6015487435743293961505549572273215360 x + 735121207672317095821497912841120438336\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{48}\cdot 3^{8}\cdot 7^{7} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 3.3
Root \(127.460 + 220.767i\) of defining polynomial
Character \(\chi\) \(=\) 14.3
Dual form 14.13.d.a.5.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-22.6274 - 39.1918i) q^{2} +(702.607 + 405.650i) q^{3} +(-1024.00 + 1773.62i) q^{4} +(-18305.2 + 10568.5i) q^{5} -36715.3i q^{6} +(-9080.55 - 117298. i) q^{7} +92681.9 q^{8} +(63384.0 + 109784. i) q^{9} +O(q^{10})\) \(q+(-22.6274 - 39.1918i) q^{2} +(702.607 + 405.650i) q^{3} +(-1024.00 + 1773.62i) q^{4} +(-18305.2 + 10568.5i) q^{5} -36715.3i q^{6} +(-9080.55 - 117298. i) q^{7} +92681.9 q^{8} +(63384.0 + 109784. i) q^{9} +(828399. + 478276. i) q^{10} +(651539. - 1.12850e6i) q^{11} +(-1.43894e6 + 830772. i) q^{12} -7.09849e6i q^{13} +(-4.39166e6 + 3.01003e6i) q^{14} -1.71485e7 q^{15} +(-2.09715e6 - 3.63237e6i) q^{16} +(-2.79240e7 - 1.61219e7i) q^{17} +(2.86843e6 - 4.96827e6i) q^{18} +(-2.32303e7 + 1.34120e7i) q^{19} -4.32886e7i q^{20} +(4.12019e7 - 8.60980e7i) q^{21} -5.89706e7 q^{22} +(6.22412e7 + 1.07805e8i) q^{23} +(6.51190e7 + 3.75965e7i) q^{24} +(1.01317e8 - 1.75486e8i) q^{25} +(-2.78203e8 + 1.60621e8i) q^{26} -3.28312e8i q^{27} +(2.17341e8 + 1.04008e8i) q^{28} -7.52793e8 q^{29} +(3.88026e8 + 6.72081e8i) q^{30} +(9.46508e8 + 5.46467e8i) q^{31} +(-9.49063e7 + 1.64382e8i) q^{32} +(9.15552e8 - 5.28594e8i) q^{33} +1.45919e9i q^{34} +(1.40589e9 + 2.05120e9i) q^{35} -2.59621e8 q^{36} +(-1.93585e9 - 3.35299e9i) q^{37} +(1.05129e9 + 6.06960e8i) q^{38} +(2.87951e9 - 4.98745e9i) q^{39} +(-1.69656e9 + 9.79510e8i) q^{40} +2.55800e9i q^{41} +(-4.30663e9 + 3.33395e8i) q^{42} -4.36133e9 q^{43} +(1.33435e9 + 2.31116e9i) q^{44} +(-2.32051e9 - 1.33975e9i) q^{45} +(2.81672e9 - 4.87869e9i) q^{46} +(8.04169e9 - 4.64287e9i) q^{47} -3.40284e9i q^{48} +(-1.36764e10 + 2.13026e9i) q^{49} -9.17013e9 q^{50} +(-1.30797e10 - 2.26548e10i) q^{51} +(1.25900e10 + 7.26886e9i) q^{52} +(-1.09179e8 + 1.89104e8i) q^{53} +(-1.28671e10 + 7.42884e9i) q^{54} +2.75432e10i q^{55} +(-8.41602e8 - 1.08714e10i) q^{56} -2.17624e10 q^{57} +(1.70338e10 + 2.95033e10i) q^{58} +(5.45224e10 + 3.14785e10i) q^{59} +(1.75600e10 - 3.04149e10i) q^{60} +(4.19753e10 - 2.42344e10i) q^{61} -4.94605e10i q^{62} +(1.23019e10 - 8.43172e9i) q^{63} +8.58993e9 q^{64} +(7.50205e10 + 1.29939e11i) q^{65} +(-4.14331e10 - 2.39214e10i) q^{66} +(-5.49220e10 + 9.51277e10i) q^{67} +(5.71884e10 - 3.30177e10i) q^{68} +1.00993e11i q^{69} +(4.85786e10 - 1.01513e11i) q^{70} -7.43754e10 q^{71} +(5.87455e9 + 1.01750e10i) q^{72} +(-2.26320e11 - 1.30666e11i) q^{73} +(-8.76065e10 + 1.51739e11i) q^{74} +(1.42372e11 - 8.21982e10i) q^{75} -5.49357e10i q^{76} +(-1.38287e11 - 6.61769e10i) q^{77} -2.60623e11 q^{78} +(-1.20639e11 - 2.08953e11i) q^{79} +(7.67776e10 + 4.43276e10i) q^{80} +(1.66865e11 - 2.89018e11i) q^{81} +(1.00253e11 - 5.78810e10i) q^{82} +2.09983e11i q^{83} +(1.10514e11 + 1.61241e11i) q^{84} +6.81540e11 q^{85} +(9.86855e10 + 1.70928e11i) q^{86} +(-5.28918e11 - 3.05371e11i) q^{87} +(6.03859e10 - 1.04591e11i) q^{88} +(1.79050e10 - 1.03374e10i) q^{89} +1.21260e11i q^{90} +(-8.32640e11 + 6.44582e10i) q^{91} -2.54940e11 q^{92} +(4.43349e11 + 7.67903e11i) q^{93} +(-3.63926e11 - 2.10113e11i) q^{94} +(2.83491e11 - 4.91020e11i) q^{95} +(-1.33364e11 + 7.69975e10i) q^{96} -4.74911e11i q^{97} +(3.92950e11 + 4.87800e11i) q^{98} +1.65189e11 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 16384q^{4} + 18144q^{5} - 469720q^{7} + 2362248q^{9} + O(q^{10}) \) \( 16q - 16384q^{4} + 18144q^{5} - 469720q^{7} + 2362248q^{9} - 2290176q^{10} + 2072088q^{11} - 11501568q^{14} - 27163728q^{15} - 33554432q^{16} - 101561040q^{17} - 4592640q^{18} + 174931848q^{19} - 323731368q^{21} + 62776320q^{22} + 25630560q^{23} + 242221056q^{24} + 521205808q^{25} - 1434682368q^{26} + 350863360q^{28} + 532360944q^{29} - 2151917568q^{30} + 4583818344q^{31} + 6054957720q^{33} - 1612540440q^{35} - 9675767808q^{36} + 5764524040q^{37} - 149506560q^{38} + 10526083272q^{39} + 4690280448q^{40} - 12685086720q^{42} - 66929432000q^{43} + 4243636224q^{44} + 57253352184q^{45} + 7203213312q^{46} + 18116171640q^{47} - 9977452064q^{49} - 99248080896q^{50} - 23299256376q^{51} + 8269578240q^{52} + 39134161800q^{53} + 105152205312q^{54} + 3623878656q^{56} - 328243960080q^{57} + 29637396480q^{58} + 201845459088q^{59} + 27815657472q^{60} + 336780254328q^{61} - 389095094520q^{63} + 137438953472q^{64} + 158322703896q^{65} + 268884080640q^{66} + 107767119920q^{67} + 207997009920q^{68} - 6077815296q^{70} - 1150259029344q^{71} - 9405726720q^{72} - 738414283320q^{73} + 4902778368q^{74} + 1537028640000q^{75} - 321203352960q^{77} - 786088888320q^{78} + 227632064768q^{79} - 76101451776q^{80} - 391984178400q^{81} - 302578053120q^{82} - 32685686784q^{84} + 710209696080q^{85} - 38105192448q^{86} + 1957017683880q^{87} - 64282951680q^{88} - 2485007442792q^{89} + 1803248333904q^{91} - 104982773760q^{92} - 458668768680q^{93} - 2021298693120q^{94} - 186503862960q^{95} - 496068722688q^{96} - 356371660800q^{98} + 3921180354576q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −22.6274 39.1918i −0.353553 0.612372i
\(3\) 702.607 + 405.650i 0.963796 + 0.556448i 0.897339 0.441342i \(-0.145497\pi\)
0.0664566 + 0.997789i \(0.478831\pi\)
\(4\) −1024.00 + 1773.62i −0.250000 + 0.433013i
\(5\) −18305.2 + 10568.5i −1.17153 + 0.676385i −0.954041 0.299677i \(-0.903121\pi\)
−0.217492 + 0.976062i \(0.569788\pi\)
\(6\) 36715.3i 0.786936i
\(7\) −9080.55 117298.i −0.0771834 0.997017i
\(8\) 92681.9 0.353553
\(9\) 63384.0 + 109784.i 0.119268 + 0.206579i
\(10\) 828399. + 478276.i 0.828399 + 0.478276i
\(11\) 651539. 1.12850e6i 0.367777 0.637008i −0.621441 0.783461i \(-0.713452\pi\)
0.989218 + 0.146453i \(0.0467857\pi\)
\(12\) −1.43894e6 + 830772.i −0.481898 + 0.278224i
\(13\) 7.09849e6i 1.47064i −0.677720 0.735320i \(-0.737032\pi\)
0.677720 0.735320i \(-0.262968\pi\)
\(14\) −4.39166e6 + 3.01003e6i −0.583257 + 0.399764i
\(15\) −1.71485e7 −1.50549
\(16\) −2.09715e6 3.63237e6i −0.125000 0.216506i
\(17\) −2.79240e7 1.61219e7i −1.15687 0.667919i −0.206318 0.978485i \(-0.566148\pi\)
−0.950552 + 0.310566i \(0.899481\pi\)
\(18\) 2.86843e6 4.96827e6i 0.0843353 0.146073i
\(19\) −2.32303e7 + 1.34120e7i −0.493780 + 0.285084i −0.726141 0.687545i \(-0.758688\pi\)
0.232361 + 0.972630i \(0.425355\pi\)
\(20\) 4.32886e7i 0.676385i
\(21\) 4.12019e7 8.60980e7i 0.480399 1.00387i
\(22\) −5.89706e7 −0.520115
\(23\) 6.22412e7 + 1.07805e8i 0.420447 + 0.728235i 0.995983 0.0895411i \(-0.0285400\pi\)
−0.575536 + 0.817776i \(0.695207\pi\)
\(24\) 6.51190e7 + 3.75965e7i 0.340753 + 0.196734i
\(25\) 1.01317e8 1.75486e8i 0.414993 0.718789i
\(26\) −2.78203e8 + 1.60621e8i −0.900579 + 0.519950i
\(27\) 3.28312e8i 0.847429i
\(28\) 2.17341e8 + 1.04008e8i 0.451017 + 0.215833i
\(29\) −7.52793e8 −1.26557 −0.632787 0.774326i \(-0.718089\pi\)
−0.632787 + 0.774326i \(0.718089\pi\)
\(30\) 3.88026e8 + 6.72081e8i 0.532272 + 0.921921i
\(31\) 9.46508e8 + 5.46467e8i 1.06648 + 0.615735i 0.927219 0.374520i \(-0.122193\pi\)
0.139265 + 0.990255i \(0.455526\pi\)
\(32\) −9.49063e7 + 1.64382e8i −0.0883883 + 0.153093i
\(33\) 9.15552e8 5.28594e8i 0.708923 0.409297i
\(34\) 1.45919e9i 0.944580i
\(35\) 1.40589e9 + 2.05120e9i 0.764790 + 1.11583i
\(36\) −2.59621e8 −0.119268
\(37\) −1.93585e9 3.35299e9i −0.754503 1.30684i −0.945621 0.325271i \(-0.894544\pi\)
0.191117 0.981567i \(-0.438789\pi\)
\(38\) 1.05129e9 + 6.06960e8i 0.349156 + 0.201585i
\(39\) 2.87951e9 4.98745e9i 0.818334 1.41740i
\(40\) −1.69656e9 + 9.79510e8i −0.414199 + 0.239138i
\(41\) 2.55800e9i 0.538516i 0.963068 + 0.269258i \(0.0867784\pi\)
−0.963068 + 0.269258i \(0.913222\pi\)
\(42\) −4.30663e9 + 3.33395e8i −0.784588 + 0.0607384i
\(43\) −4.36133e9 −0.689934 −0.344967 0.938615i \(-0.612110\pi\)
−0.344967 + 0.938615i \(0.612110\pi\)
\(44\) 1.33435e9 + 2.31116e9i 0.183888 + 0.318504i
\(45\) −2.32051e9 1.33975e9i −0.279453 0.161342i
\(46\) 2.81672e9 4.87869e9i 0.297301 0.514940i
\(47\) 8.04169e9 4.64287e9i 0.746037 0.430725i −0.0782231 0.996936i \(-0.524925\pi\)
0.824260 + 0.566211i \(0.191591\pi\)
\(48\) 3.40284e9i 0.278224i
\(49\) −1.36764e10 + 2.13026e9i −0.988085 + 0.153906i
\(50\) −9.17013e9 −0.586888
\(51\) −1.30797e10 2.26548e10i −0.743324 1.28747i
\(52\) 1.25900e10 + 7.26886e9i 0.636805 + 0.367660i
\(53\) −1.09179e8 + 1.89104e8i −0.00492590 + 0.00853191i −0.868478 0.495728i \(-0.834901\pi\)
0.863552 + 0.504260i \(0.168235\pi\)
\(54\) −1.28671e10 + 7.42884e9i −0.518942 + 0.299612i
\(55\) 2.75432e10i 0.995034i
\(56\) −8.41602e8 1.08714e10i −0.0272884 0.352499i
\(57\) −2.17624e10 −0.634538
\(58\) 1.70338e10 + 2.95033e10i 0.447448 + 0.775003i
\(59\) 5.45224e10 + 3.14785e10i 1.29260 + 0.746280i 0.979114 0.203314i \(-0.0651712\pi\)
0.313482 + 0.949594i \(0.398505\pi\)
\(60\) 1.75600e10 3.04149e10i 0.376373 0.651897i
\(61\) 4.19753e10 2.42344e10i 0.814732 0.470386i −0.0338645 0.999426i \(-0.510781\pi\)
0.848596 + 0.529041i \(0.177448\pi\)
\(62\) 4.94605e10i 0.870780i
\(63\) 1.23019e10 8.43172e9i 0.196757 0.134857i
\(64\) 8.58993e9 0.125000
\(65\) 7.50205e10 + 1.29939e11i 0.994718 + 1.72290i
\(66\) −4.14331e10 2.39214e10i −0.501284 0.289417i
\(67\) −5.49220e10 + 9.51277e10i −0.607152 + 1.05162i 0.384556 + 0.923102i \(0.374355\pi\)
−0.991707 + 0.128516i \(0.958979\pi\)
\(68\) 5.71884e10 3.30177e10i 0.578435 0.333959i
\(69\) 1.00993e11i 0.935826i
\(70\) 4.85786e10 1.01513e11i 0.412911 0.862843i
\(71\) −7.43754e10 −0.580603 −0.290302 0.956935i \(-0.593756\pi\)
−0.290302 + 0.956935i \(0.593756\pi\)
\(72\) 5.87455e9 + 1.01750e10i 0.0421677 + 0.0730366i
\(73\) −2.26320e11 1.30666e11i −1.49550 0.863427i −0.495512 0.868601i \(-0.665020\pi\)
−0.999987 + 0.00517437i \(0.998353\pi\)
\(74\) −8.76065e10 + 1.51739e11i −0.533514 + 0.924074i
\(75\) 1.42372e11 8.21982e10i 0.799937 0.461844i
\(76\) 5.49357e10i 0.285084i
\(77\) −1.38287e11 6.61769e10i −0.663494 0.317513i
\(78\) −2.60623e11 −1.15730
\(79\) −1.20639e11 2.08953e11i −0.496279 0.859580i 0.503712 0.863871i \(-0.331967\pi\)
−0.999991 + 0.00429190i \(0.998634\pi\)
\(80\) 7.67776e10 + 4.43276e10i 0.292883 + 0.169096i
\(81\) 1.66865e11 2.89018e11i 0.590818 1.02333i
\(82\) 1.00253e11 5.78810e10i 0.329772 0.190394i
\(83\) 2.09983e11i 0.642268i 0.947034 + 0.321134i \(0.104064\pi\)
−0.947034 + 0.321134i \(0.895936\pi\)
\(84\) 1.10514e11 + 1.61241e11i 0.314588 + 0.458986i
\(85\) 6.81540e11 1.80708
\(86\) 9.86855e10 + 1.70928e11i 0.243929 + 0.422497i
\(87\) −5.28918e11 3.05371e11i −1.21975 0.704226i
\(88\) 6.03859e10 1.04591e11i 0.130029 0.225216i
\(89\) 1.79050e10 1.03374e10i 0.0360275 0.0208005i −0.481878 0.876238i \(-0.660045\pi\)
0.517906 + 0.855438i \(0.326712\pi\)
\(90\) 1.21260e11i 0.228173i
\(91\) −8.32640e11 + 6.44582e10i −1.46625 + 0.113509i
\(92\) −2.54940e11 −0.420447
\(93\) 4.43349e11 + 7.67903e11i 0.685248 + 1.18689i
\(94\) −3.63926e11 2.10113e11i −0.527528 0.304568i
\(95\) 2.83491e11 4.91020e11i 0.385653 0.667971i
\(96\) −1.33364e11 + 7.69975e10i −0.170377 + 0.0983670i
\(97\) 4.74911e11i 0.570140i −0.958507 0.285070i \(-0.907983\pi\)
0.958507 0.285070i \(-0.0920169\pi\)
\(98\) 3.92950e11 + 4.87800e11i 0.443589 + 0.550662i
\(99\) 1.65189e11 0.175456
\(100\) 2.07496e11 + 3.59394e11i 0.207496 + 0.359394i
\(101\) 9.97000e11 + 5.75618e11i 0.939219 + 0.542259i 0.889715 0.456515i \(-0.150903\pi\)
0.0495038 + 0.998774i \(0.484236\pi\)
\(102\) −5.91921e11 + 1.02524e12i −0.525609 + 0.910382i
\(103\) 8.21363e11 4.74214e11i 0.687878 0.397147i −0.114938 0.993373i \(-0.536667\pi\)
0.802817 + 0.596226i \(0.203334\pi\)
\(104\) 6.57902e11i 0.519950i
\(105\) 1.55718e11 + 2.01148e12i 0.116199 + 1.50100i
\(106\) 9.88179e9 0.00696628
\(107\) 1.66978e11 + 2.89214e11i 0.111264 + 0.192715i 0.916280 0.400538i \(-0.131177\pi\)
−0.805016 + 0.593253i \(0.797843\pi\)
\(108\) 5.82300e11 + 3.36191e11i 0.366948 + 0.211857i
\(109\) 3.67785e11 6.37022e11i 0.219298 0.379835i −0.735295 0.677747i \(-0.762957\pi\)
0.954594 + 0.297911i \(0.0962899\pi\)
\(110\) 1.07947e12 6.23231e11i 0.609332 0.351798i
\(111\) 3.14111e12i 1.67937i
\(112\) −4.07027e11 + 2.78976e11i −0.206213 + 0.141338i
\(113\) −2.66369e12 −1.27942 −0.639709 0.768617i \(-0.720945\pi\)
−0.639709 + 0.768617i \(0.720945\pi\)
\(114\) 4.92427e11 + 8.52908e11i 0.224343 + 0.388574i
\(115\) −2.27868e12 1.31559e12i −0.985134 0.568768i
\(116\) 7.70860e11 1.33517e12i 0.316394 0.548010i
\(117\) 7.79303e11 4.49931e11i 0.303803 0.175400i
\(118\) 2.84911e12i 1.05540i
\(119\) −1.63751e12 + 3.42183e12i −0.576635 + 1.20497i
\(120\) −1.58935e12 −0.532272
\(121\) 7.20208e11 + 1.24744e12i 0.229481 + 0.397472i
\(122\) −1.89958e12 1.09673e12i −0.576102 0.332613i
\(123\) −1.03766e12 + 1.79727e12i −0.299656 + 0.519019i
\(124\) −1.93845e12 + 1.11916e12i −0.533242 + 0.307867i
\(125\) 8.77343e11i 0.229990i
\(126\) −6.08815e11 2.91347e11i −0.152147 0.0728094i
\(127\) −2.69168e11 −0.0641506 −0.0320753 0.999485i \(-0.510212\pi\)
−0.0320753 + 0.999485i \(0.510212\pi\)
\(128\) −1.94368e11 3.36655e11i −0.0441942 0.0765466i
\(129\) −3.06430e12 1.76917e12i −0.664956 0.383912i
\(130\) 3.39504e12 5.88038e12i 0.703372 1.21828i
\(131\) 4.16356e12 2.40383e12i 0.823829 0.475638i −0.0279059 0.999611i \(-0.508884\pi\)
0.851735 + 0.523972i \(0.175551\pi\)
\(132\) 2.16512e12i 0.409297i
\(133\) 1.78415e12 + 2.60308e12i 0.322345 + 0.470304i
\(134\) 4.97097e12 0.858642
\(135\) 3.46976e12 + 6.00981e12i 0.573188 + 0.992791i
\(136\) −2.58805e12 1.49421e12i −0.409015 0.236145i
\(137\) −5.08937e12 + 8.81505e12i −0.769734 + 1.33322i 0.167973 + 0.985792i \(0.446278\pi\)
−0.937707 + 0.347427i \(0.887056\pi\)
\(138\) 3.95809e12 2.28520e12i 0.573074 0.330865i
\(139\) 3.81539e11i 0.0528994i 0.999650 + 0.0264497i \(0.00842018\pi\)
−0.999650 + 0.0264497i \(0.991580\pi\)
\(140\) −5.07767e12 + 3.93084e11i −0.674367 + 0.0522057i
\(141\) 7.53354e12 0.958703
\(142\) 1.68292e12 + 2.91491e12i 0.205274 + 0.355545i
\(143\) −8.01064e12 4.62495e12i −0.936809 0.540867i
\(144\) 2.65852e11 4.60469e11i 0.0298170 0.0516446i
\(145\) 1.37800e13 7.95590e12i 1.48266 0.856015i
\(146\) 1.18265e13i 1.22107i
\(147\) −1.04733e13 4.05109e12i −1.03795 0.401484i
\(148\) 7.92924e12 0.754503
\(149\) 1.01352e13 + 1.75546e13i 0.926218 + 1.60426i 0.789591 + 0.613634i \(0.210293\pi\)
0.136627 + 0.990623i \(0.456374\pi\)
\(150\) −6.44300e12 3.71987e12i −0.565641 0.326573i
\(151\) 9.98191e12 1.72892e13i 0.842077 1.45852i −0.0460585 0.998939i \(-0.514666\pi\)
0.888136 0.459582i \(-0.152001\pi\)
\(152\) −2.15303e12 + 1.24305e12i −0.174578 + 0.100793i
\(153\) 4.08749e12i 0.318646i
\(154\) 5.35485e11 + 6.91713e12i 0.0401442 + 0.518563i
\(155\) −2.31014e13 −1.66589
\(156\) 5.89723e12 + 1.02143e13i 0.409167 + 0.708698i
\(157\) 6.85383e12 + 3.95706e12i 0.457652 + 0.264226i 0.711057 0.703135i \(-0.248217\pi\)
−0.253404 + 0.967360i \(0.581550\pi\)
\(158\) −5.45950e12 + 9.45613e12i −0.350922 + 0.607815i
\(159\) −1.53420e11 + 8.85774e10i −0.00949512 + 0.00548201i
\(160\) 4.01207e12i 0.239138i
\(161\) 1.20801e13 8.27970e12i 0.693611 0.475400i
\(162\) −1.51029e13 −0.835543
\(163\) −1.22758e13 2.12623e13i −0.654521 1.13366i −0.982014 0.188810i \(-0.939537\pi\)
0.327493 0.944854i \(-0.393796\pi\)
\(164\) −4.53693e12 2.61940e12i −0.233184 0.134629i
\(165\) −1.11729e13 + 1.93520e13i −0.553685 + 0.959010i
\(166\) 8.22964e12 4.75138e12i 0.393307 0.227076i
\(167\) 2.03607e13i 0.938629i −0.883031 0.469315i \(-0.844501\pi\)
0.883031 0.469315i \(-0.155499\pi\)
\(168\) 3.81867e12 7.97972e12i 0.169847 0.354921i
\(169\) −2.70905e13 −1.16278
\(170\) −1.54215e13 2.67108e13i −0.638899 1.10661i
\(171\) −2.94486e12 1.70022e12i −0.117785 0.0680030i
\(172\) 4.46600e12 7.73533e12i 0.172484 0.298750i
\(173\) 1.88719e13 1.08957e13i 0.703945 0.406423i −0.104870 0.994486i \(-0.533443\pi\)
0.808815 + 0.588063i \(0.200109\pi\)
\(174\) 2.76390e13i 0.995926i
\(175\) −2.15041e13 1.02907e13i −0.748675 0.358276i
\(176\) −5.46550e12 −0.183888
\(177\) 2.55385e13 + 4.42340e13i 0.830532 + 1.43852i
\(178\) −8.10287e11 4.67819e11i −0.0254753 0.0147081i
\(179\) −5.29449e12 + 9.17033e12i −0.160956 + 0.278783i −0.935212 0.354089i \(-0.884791\pi\)
0.774256 + 0.632872i \(0.218124\pi\)
\(180\) 4.75241e12 2.74381e12i 0.139727 0.0806712i
\(181\) 5.35655e13i 1.52340i −0.647930 0.761700i \(-0.724365\pi\)
0.647930 0.761700i \(-0.275635\pi\)
\(182\) 2.13667e13 + 3.11742e13i 0.587908 + 0.857761i
\(183\) 3.93229e13 1.04698
\(184\) 5.76863e12 + 9.99156e12i 0.148650 + 0.257470i
\(185\) 7.08722e13 + 4.09181e13i 1.76785 + 1.02067i
\(186\) 2.00637e13 3.47513e13i 0.484544 0.839255i
\(187\) −3.63872e13 + 2.10081e13i −0.850939 + 0.491290i
\(188\) 1.90172e13i 0.430725i
\(189\) −3.85103e13 + 2.98125e12i −0.844901 + 0.0654075i
\(190\) −2.56586e13 −0.545396
\(191\) −3.11402e13 5.39365e13i −0.641390 1.11092i −0.985123 0.171852i \(-0.945025\pi\)
0.343733 0.939067i \(-0.388308\pi\)
\(192\) 6.03535e12 + 3.48451e12i 0.120474 + 0.0695560i
\(193\) 1.97810e13 3.42617e13i 0.382740 0.662926i −0.608713 0.793391i \(-0.708314\pi\)
0.991453 + 0.130465i \(0.0416471\pi\)
\(194\) −1.86126e13 + 1.07460e13i −0.349138 + 0.201575i
\(195\) 1.21728e14i 2.21403i
\(196\) 1.02263e13 2.64381e13i 0.180378 0.466330i
\(197\) 2.98938e12 0.0511427 0.0255713 0.999673i \(-0.491860\pi\)
0.0255713 + 0.999673i \(0.491860\pi\)
\(198\) −3.73779e12 6.47404e12i −0.0620332 0.107445i
\(199\) 5.16217e13 + 2.98038e13i 0.831216 + 0.479903i 0.854269 0.519831i \(-0.174005\pi\)
−0.0230526 + 0.999734i \(0.507339\pi\)
\(200\) 9.39022e12 1.62643e13i 0.146722 0.254130i
\(201\) −7.71771e13 + 4.45582e13i −1.17034 + 0.675697i
\(202\) 5.20990e13i 0.766869i
\(203\) 6.83577e12 + 8.83011e13i 0.0976813 + 1.26180i
\(204\) 5.35746e13 0.743324
\(205\) −2.70343e13 4.68248e13i −0.364244 0.630889i
\(206\) −3.71706e13 2.14605e13i −0.486403 0.280825i
\(207\) −7.89019e12 + 1.36662e13i −0.100292 + 0.173711i
\(208\) −2.57844e13 + 1.48866e13i −0.318403 + 0.183830i
\(209\) 3.49539e13i 0.419389i
\(210\) 7.53103e13 5.16175e13i 0.878089 0.601841i
\(211\) 1.29666e14 1.46937 0.734684 0.678409i \(-0.237330\pi\)
0.734684 + 0.678409i \(0.237330\pi\)
\(212\) −2.23599e11 3.87286e11i −0.00246295 0.00426595i
\(213\) −5.22567e13 3.01704e13i −0.559583 0.323075i
\(214\) 7.55654e12 1.30883e13i 0.0786756 0.136270i
\(215\) 7.98349e13 4.60927e13i 0.808281 0.466661i
\(216\) 3.04285e13i 0.299612i
\(217\) 5.55047e13 1.15986e14i 0.531583 1.11083i
\(218\) −3.32881e13 −0.310134
\(219\) −1.06009e14 1.83614e14i −0.960904 1.66433i
\(220\) −4.88512e13 2.82042e13i −0.430863 0.248759i
\(221\) −1.14441e14 + 1.98218e14i −0.982268 + 1.70134i
\(222\) −1.23106e14 + 7.10753e13i −1.02840 + 0.593746i
\(223\) 1.05020e14i 0.853972i −0.904258 0.426986i \(-0.859575\pi\)
0.904258 0.426986i \(-0.140425\pi\)
\(224\) 2.01435e13 + 9.63964e12i 0.159459 + 0.0763084i
\(225\) 2.56874e13 0.197982
\(226\) 6.02724e13 + 1.04395e14i 0.452343 + 0.783481i
\(227\) 6.69859e13 + 3.86743e13i 0.489585 + 0.282662i 0.724402 0.689378i \(-0.242116\pi\)
−0.234817 + 0.972040i \(0.575449\pi\)
\(228\) 2.22847e13 3.85982e13i 0.158635 0.274763i
\(229\) −1.53002e14 + 8.83360e13i −1.06093 + 0.612526i −0.925688 0.378287i \(-0.876513\pi\)
−0.135238 + 0.990813i \(0.543180\pi\)
\(230\) 1.19074e14i 0.804359i
\(231\) −7.03168e13 1.02593e14i −0.462793 0.675218i
\(232\) −6.97703e13 −0.447448
\(233\) −1.16414e14 2.01635e14i −0.727562 1.26017i −0.957911 0.287066i \(-0.907320\pi\)
0.230349 0.973108i \(-0.426013\pi\)
\(234\) −3.52672e13 2.03616e13i −0.214821 0.124027i
\(235\) −9.81366e13 + 1.69977e14i −0.582671 + 1.00922i
\(236\) −1.11662e14 + 6.44680e13i −0.646298 + 0.373140i
\(237\) 1.95749e14i 1.10461i
\(238\) 1.71160e14 1.32503e13i 0.941762 0.0729058i
\(239\) 1.20020e14 0.643971 0.321986 0.946745i \(-0.395650\pi\)
0.321986 + 0.946745i \(0.395650\pi\)
\(240\) 3.59630e13 + 6.22897e13i 0.188186 + 0.325948i
\(241\) 4.44336e13 + 2.56537e13i 0.226782 + 0.130933i 0.609087 0.793104i \(-0.291536\pi\)
−0.382305 + 0.924036i \(0.624869\pi\)
\(242\) 3.25929e13 5.64526e13i 0.162267 0.281055i
\(243\) 8.33779e13 4.81383e13i 0.404961 0.233804i
\(244\) 9.92643e13i 0.470386i
\(245\) 2.27835e14 1.83534e14i 1.05347 0.848632i
\(246\) 9.39179e13 0.423777
\(247\) 9.52053e13 + 1.64900e14i 0.419256 + 0.726173i
\(248\) 8.77242e13 + 5.06476e13i 0.377059 + 0.217695i
\(249\) −8.51799e13 + 1.47536e14i −0.357389 + 0.619016i
\(250\) −3.43847e13 + 1.98520e13i −0.140840 + 0.0813138i
\(251\) 1.04293e14i 0.417073i 0.978015 + 0.208537i \(0.0668700\pi\)
−0.978015 + 0.208537i \(0.933130\pi\)
\(252\) 2.35750e12 + 3.04530e13i 0.00920552 + 0.118912i
\(253\) 1.62210e14 0.618522
\(254\) 6.09057e12 + 1.05492e13i 0.0226807 + 0.0392841i
\(255\) 4.78855e14 + 2.76467e14i 1.74166 + 1.00555i
\(256\) −8.79609e12 + 1.52353e13i −0.0312500 + 0.0541266i
\(257\) 2.30306e14 1.32967e14i 0.799295 0.461473i −0.0439295 0.999035i \(-0.513988\pi\)
0.843225 + 0.537561i \(0.180654\pi\)
\(258\) 1.60127e14i 0.542934i
\(259\) −3.75721e14 + 2.57518e14i −1.24470 + 0.853119i
\(260\) −3.07284e14 −0.994718
\(261\) −4.77150e13 8.26449e13i −0.150943 0.261440i
\(262\) −1.88421e14 1.08785e14i −0.582535 0.336327i
\(263\) 1.98352e14 3.43556e14i 0.599380 1.03816i −0.393533 0.919311i \(-0.628747\pi\)
0.992913 0.118846i \(-0.0379195\pi\)
\(264\) 8.48551e13 4.89911e13i 0.250642 0.144708i
\(265\) 4.61546e12i 0.0133272i
\(266\) 6.16489e13 1.28825e14i 0.174035 0.363673i
\(267\) 1.67735e13 0.0462975
\(268\) −1.12480e14 1.94821e14i −0.303576 0.525809i
\(269\) −5.98003e13 3.45257e13i −0.157830 0.0911232i 0.419005 0.907984i \(-0.362379\pi\)
−0.576835 + 0.816861i \(0.695712\pi\)
\(270\) 1.57024e14 2.71973e14i 0.405305 0.702010i
\(271\) −6.55851e14 + 3.78656e14i −1.65573 + 0.955936i −0.681078 + 0.732211i \(0.738489\pi\)
−0.974652 + 0.223726i \(0.928178\pi\)
\(272\) 1.35241e14i 0.333959i
\(273\) −6.11166e14 2.92472e14i −1.47633 0.706493i
\(274\) 4.60637e14 1.08857
\(275\) −1.32023e14 2.28671e14i −0.305249 0.528707i
\(276\) −1.79123e14 1.03416e14i −0.405225 0.233957i
\(277\) −1.16361e14 + 2.01543e14i −0.257590 + 0.446159i −0.965596 0.260047i \(-0.916262\pi\)
0.708006 + 0.706207i \(0.249595\pi\)
\(278\) 1.49532e13 8.63325e12i 0.0323941 0.0187028i
\(279\) 1.38549e14i 0.293750i
\(280\) 1.30300e14 + 1.90109e14i 0.270394 + 0.394506i
\(281\) −7.05866e14 −1.43379 −0.716893 0.697183i \(-0.754436\pi\)
−0.716893 + 0.697183i \(0.754436\pi\)
\(282\) −1.70464e14 2.95253e14i −0.338953 0.587083i
\(283\) 6.72043e14 + 3.88004e14i 1.30821 + 0.755297i 0.981798 0.189930i \(-0.0608262\pi\)
0.326414 + 0.945227i \(0.394159\pi\)
\(284\) 7.61604e13 1.31914e14i 0.145151 0.251409i
\(285\) 3.98365e14 2.29996e14i 0.743382 0.429192i
\(286\) 4.18602e14i 0.764901i
\(287\) 3.00049e14 2.32281e13i 0.536909 0.0415644i
\(288\) −2.40622e13 −0.0421677
\(289\) 2.28522e14 + 3.95813e14i 0.392231 + 0.679364i
\(290\) −6.23613e14 3.60043e14i −1.04840 0.605294i
\(291\) 1.92648e14 3.33676e14i 0.317253 0.549499i
\(292\) 4.63504e14 2.67604e14i 0.747749 0.431713i
\(293\) 6.68824e14i 1.05708i −0.848910 0.528538i \(-0.822740\pi\)
0.848910 0.528538i \(-0.177260\pi\)
\(294\) 7.82131e13 + 5.02132e14i 0.121114 + 0.777560i
\(295\) −1.33072e15 −2.01909
\(296\) −1.79418e14 3.10761e14i −0.266757 0.462037i
\(297\) −3.70499e14 2.13908e14i −0.539819 0.311665i
\(298\) 4.58665e14 7.94431e14i 0.654935 1.13438i
\(299\) 7.65253e14 4.41819e14i 1.07097 0.618325i
\(300\) 3.36684e14i 0.461844i
\(301\) 3.96032e13 + 5.11575e14i 0.0532515 + 0.687876i
\(302\) −9.03459e14 −1.19088
\(303\) 4.67000e14 + 8.08867e14i 0.603477 + 1.04525i
\(304\) 9.74351e13 + 5.62542e13i 0.123445 + 0.0712711i
\(305\) −5.12244e14 + 8.87233e14i −0.636323 + 1.10214i
\(306\) −1.60196e14 + 9.24894e13i −0.195130 + 0.112658i
\(307\) 7.37934e14i 0.881429i −0.897647 0.440714i \(-0.854725\pi\)
0.897647 0.440714i \(-0.145275\pi\)
\(308\) 2.58978e14 1.77503e14i 0.303361 0.207923i
\(309\) 7.69460e14 0.883965
\(310\) 5.22724e14 + 9.05385e14i 0.588983 + 1.02015i
\(311\) 4.21657e14 + 2.43444e14i 0.466012 + 0.269052i 0.714569 0.699565i \(-0.246623\pi\)
−0.248557 + 0.968617i \(0.579956\pi\)
\(312\) 2.66878e14 4.62247e14i 0.289325 0.501125i
\(313\) 2.88228e14 1.66408e14i 0.306528 0.176974i −0.338844 0.940843i \(-0.610036\pi\)
0.645372 + 0.763869i \(0.276703\pi\)
\(314\) 3.58152e14i 0.373671i
\(315\) −1.36078e14 + 2.84357e14i −0.139292 + 0.291073i
\(316\) 4.94138e14 0.496279
\(317\) 7.44042e14 + 1.28872e15i 0.733233 + 1.27000i 0.955494 + 0.295010i \(0.0953229\pi\)
−0.222261 + 0.974987i \(0.571344\pi\)
\(318\) 6.94302e12 + 4.00855e12i 0.00671407 + 0.00387637i
\(319\) −4.90474e14 + 8.49526e14i −0.465449 + 0.806181i
\(320\) −1.57240e14 + 9.07828e13i −0.146442 + 0.0845481i
\(321\) 2.70938e14i 0.247651i
\(322\) −5.97839e14 2.86094e14i −0.536350 0.256669i
\(323\) 8.64912e14 0.761653
\(324\) 3.41739e14 + 5.91909e14i 0.295409 + 0.511664i
\(325\) −1.24568e15 7.19195e14i −1.05708 0.610305i
\(326\) −5.55538e14 + 9.62221e14i −0.462816 + 0.801621i
\(327\) 5.16817e14 2.98384e14i 0.422717 0.244056i
\(328\) 2.37081e14i 0.190394i
\(329\) −6.17623e14 9.01115e14i −0.487021 0.710567i
\(330\) 1.01126e15 0.783028
\(331\) −1.12300e14 1.94510e14i −0.0853912 0.147902i 0.820167 0.572125i \(-0.193881\pi\)
−0.905558 + 0.424223i \(0.860547\pi\)
\(332\) −3.72431e14 2.15023e14i −0.278110 0.160567i
\(333\) 2.45404e14 4.25052e14i 0.179977 0.311728i
\(334\) −7.97974e14 + 4.60710e14i −0.574791 + 0.331856i
\(335\) 2.32177e15i 1.64267i
\(336\) −3.99147e14 + 3.08997e13i −0.277394 + 0.0214743i
\(337\) 1.02994e15 0.703124 0.351562 0.936165i \(-0.385651\pi\)
0.351562 + 0.936165i \(0.385651\pi\)
\(338\) 6.12989e14 + 1.06173e15i 0.411105 + 0.712054i
\(339\) −1.87153e15 1.08053e15i −1.23310 0.711930i
\(340\) −6.97896e14 + 1.20879e15i −0.451770 + 0.782489i
\(341\) 1.23337e15 7.12089e14i 0.784456 0.452906i
\(342\) 1.53886e14i 0.0961707i
\(343\) 3.74064e14 + 1.58487e15i 0.229711 + 0.973259i
\(344\) −4.04216e14 −0.243929
\(345\) −1.06734e15 1.84869e15i −0.632979 1.09635i
\(346\) −8.54044e14 4.93083e14i −0.497764 0.287384i
\(347\) 4.36316e14 7.55722e14i 0.249934 0.432898i −0.713574 0.700580i \(-0.752925\pi\)
0.963507 + 0.267683i \(0.0862579\pi\)
\(348\) 1.08322e15 6.25399e14i 0.609877 0.352113i
\(349\) 2.50531e14i 0.138647i −0.997594 0.0693233i \(-0.977916\pi\)
0.997594 0.0693233i \(-0.0220840\pi\)
\(350\) 8.32698e13 + 1.07564e15i 0.0452980 + 0.585138i
\(351\) −2.33052e15 −1.24626
\(352\) 1.23670e14 + 2.14203e14i 0.0650144 + 0.112608i
\(353\) −2.45457e14 1.41714e14i −0.126861 0.0732430i 0.435227 0.900321i \(-0.356668\pi\)
−0.562087 + 0.827078i \(0.690002\pi\)
\(354\) 1.15574e15 2.00180e15i 0.587275 1.01719i
\(355\) 1.36146e15 7.86038e14i 0.680196 0.392711i
\(356\) 4.23422e13i 0.0208005i
\(357\) −2.53859e15 + 1.73995e15i −1.22626 + 0.840478i
\(358\) 4.79203e14 0.227626
\(359\) −2.96270e14 5.13154e14i −0.138395 0.239707i 0.788494 0.615042i \(-0.210861\pi\)
−0.926889 + 0.375335i \(0.877528\pi\)
\(360\) −2.15070e14 1.24171e14i −0.0988016 0.0570431i
\(361\) −7.46892e14 + 1.29365e15i −0.337454 + 0.584487i
\(362\) −2.09933e15 + 1.21205e15i −0.932888 + 0.538603i
\(363\) 1.16861e15i 0.510776i
\(364\) 7.38299e14 1.54279e15i 0.317412 0.663283i
\(365\) 5.52378e15 2.33603
\(366\) −8.89775e14 1.54113e15i −0.370163 0.641142i
\(367\) −4.05423e14 2.34071e14i −0.165925 0.0957969i 0.414738 0.909941i \(-0.363873\pi\)
−0.580663 + 0.814144i \(0.697207\pi\)
\(368\) 2.61059e14 4.52167e14i 0.105112 0.182059i
\(369\) −2.80829e14 + 1.62137e14i −0.111246 + 0.0642278i
\(370\) 3.70348e15i 1.44344i
\(371\) 2.31730e13 + 1.10894e13i 0.00888666 + 0.00425268i
\(372\) −1.81596e15 −0.685248
\(373\) 1.17094e15 + 2.02812e15i 0.434791 + 0.753081i 0.997279 0.0737253i \(-0.0234888\pi\)
−0.562487 + 0.826806i \(0.690155\pi\)
\(374\) 1.64669e15 + 9.50720e14i 0.601705 + 0.347394i
\(375\) 3.55895e14 6.16428e14i 0.127978 0.221664i
\(376\) 7.45320e14 4.30310e14i 0.263764 0.152284i
\(377\) 5.34370e15i 1.86120i
\(378\) 9.88229e14 + 1.44183e15i 0.338772 + 0.494269i
\(379\) −4.89878e15 −1.65292 −0.826461 0.562994i \(-0.809649\pi\)
−0.826461 + 0.562994i \(0.809649\pi\)
\(380\) 5.80589e14 + 1.00561e15i 0.192827 + 0.333986i
\(381\) −1.89119e14 1.09188e14i −0.0618281 0.0356965i
\(382\) −1.40925e15 + 2.44089e15i −0.453531 + 0.785539i
\(383\) −4.07029e15 + 2.34998e15i −1.28953 + 0.744513i −0.978571 0.205909i \(-0.933985\pi\)
−0.310963 + 0.950422i \(0.600652\pi\)
\(384\) 3.15382e14i 0.0983670i
\(385\) 3.23076e15 2.50107e14i 0.992066 0.0768001i
\(386\) −1.79037e15 −0.541276
\(387\) −2.76438e14 4.78805e14i −0.0822872 0.142526i
\(388\) 8.42311e14 + 4.86309e14i 0.246878 + 0.142535i
\(389\) 1.04054e15 1.80226e15i 0.300303 0.520140i −0.675901 0.736992i \(-0.736246\pi\)
0.976205 + 0.216852i \(0.0695788\pi\)
\(390\) 4.77076e15 2.75440e15i 1.35581 0.782779i
\(391\) 4.01379e15i 1.12330i
\(392\) −1.26755e15 + 1.97437e14i −0.349341 + 0.0544141i
\(393\) 3.90046e15 1.05867
\(394\) −6.76419e13 1.17159e14i −0.0180817 0.0313184i
\(395\) 4.41665e15 + 2.54995e15i 1.16281 + 0.671350i
\(396\) −1.69153e14 + 2.92982e14i −0.0438641 + 0.0759748i
\(397\) 5.98851e14 3.45747e14i 0.152959 0.0883110i −0.421567 0.906797i \(-0.638520\pi\)
0.574526 + 0.818486i \(0.305186\pi\)
\(398\) 2.69753e15i 0.678685i
\(399\) 1.97614e14 + 2.55269e15i 0.0489758 + 0.632645i
\(400\) −8.49905e14 −0.207496
\(401\) 2.13958e15 + 3.70586e15i 0.514592 + 0.891299i 0.999857 + 0.0169316i \(0.00538977\pi\)
−0.485265 + 0.874367i \(0.661277\pi\)
\(402\) 3.49264e15 + 2.01648e15i 0.827556 + 0.477790i
\(403\) 3.87909e15 6.71878e15i 0.905524 1.56841i
\(404\) −2.04186e15 + 1.17887e15i −0.469610 + 0.271129i
\(405\) 7.05404e15i 1.59848i
\(406\) 3.30601e15 2.26593e15i 0.738155 0.505931i
\(407\) −5.04512e15 −1.10996
\(408\) −1.21226e15 2.09969e15i −0.262805 0.455191i
\(409\) −5.93554e13 3.42689e13i −0.0126800 0.00732082i 0.493647 0.869663i \(-0.335664\pi\)
−0.506327 + 0.862342i \(0.668997\pi\)
\(410\) −1.22343e15 + 2.11905e15i −0.257559 + 0.446106i
\(411\) −7.15166e15 + 4.12901e15i −1.48373 + 0.856633i
\(412\) 1.94238e15i 0.397147i
\(413\) 3.19727e15 6.68121e15i 0.644287 1.34634i
\(414\) 7.14139e14 0.141834
\(415\) −2.21921e15 3.84379e15i −0.434421 0.752439i
\(416\) 1.16687e15 + 6.73692e14i 0.225145 + 0.129987i
\(417\) −1.54772e14 + 2.68072e14i −0.0294357 + 0.0509842i
\(418\) 1.36991e15 7.90916e14i 0.256823 0.148277i
\(419\) 2.03797e15i 0.376628i −0.982109 0.188314i \(-0.939698\pi\)
0.982109 0.188314i \(-0.0603023\pi\)
\(420\) −3.72706e15 1.78358e15i −0.679002 0.324934i
\(421\) −7.75234e15 −1.39232 −0.696162 0.717885i \(-0.745110\pi\)
−0.696162 + 0.717885i \(0.745110\pi\)
\(422\) −2.93400e15 5.08184e15i −0.519500 0.899801i
\(423\) 1.01943e15 + 5.88568e14i 0.177957 + 0.102744i
\(424\) −1.01190e13 + 1.75265e13i −0.00174157 + 0.00301649i
\(425\) −5.65833e15 + 3.26684e15i −0.960185 + 0.554363i
\(426\) 2.73071e15i 0.456897i
\(427\) −3.22381e15 4.70356e15i −0.531866 0.775996i
\(428\) −6.83940e14 −0.111264
\(429\) −3.75222e15 6.49904e15i −0.601928 1.04257i
\(430\) −3.61292e15 2.08592e15i −0.571541 0.329979i
\(431\) −3.20180e13 + 5.54569e13i −0.00499495 + 0.00865151i −0.868512 0.495668i \(-0.834923\pi\)
0.863517 + 0.504320i \(0.168257\pi\)
\(432\) −1.19255e15 + 6.88519e14i −0.183474 + 0.105929i
\(433\) 3.93012e14i 0.0596319i −0.999555 0.0298159i \(-0.990508\pi\)
0.999555 0.0298159i \(-0.00949211\pi\)
\(434\) −5.80162e15 + 4.49129e14i −0.868183 + 0.0672098i
\(435\) 1.29093e16 1.90531
\(436\) 7.53223e14 + 1.30462e15i 0.109649 + 0.189918i
\(437\) −2.89177e15 1.66956e15i −0.415217 0.239725i
\(438\) −4.79744e15 + 8.30941e15i −0.679461 + 1.17686i
\(439\) 6.94942e15 4.01225e15i 0.970871 0.560533i 0.0713694 0.997450i \(-0.477263\pi\)
0.899502 + 0.436917i \(0.143930\pi\)
\(440\) 2.55276e15i 0.351798i
\(441\) −1.10073e15 1.36643e15i −0.149641 0.185761i
\(442\) 1.03581e16 1.38914
\(443\) −7.81118e14 1.35294e15i −0.103346 0.179001i 0.809715 0.586823i \(-0.199622\pi\)
−0.913061 + 0.407822i \(0.866288\pi\)
\(444\) 5.57114e15 + 3.21650e15i 0.727187 + 0.419842i
\(445\) −2.18503e14 + 3.78458e14i −0.0281382 + 0.0487369i
\(446\) −4.11593e15 + 2.37633e15i −0.522949 + 0.301925i
\(447\) 1.64453e16i 2.06157i
\(448\) −7.80013e13 1.00758e15i −0.00964792 0.124627i
\(449\) −2.29552e15 −0.280158 −0.140079 0.990140i \(-0.544736\pi\)
−0.140079 + 0.990140i \(0.544736\pi\)
\(450\) −5.81240e14 1.00674e15i −0.0699971 0.121239i
\(451\) 2.88670e15 + 1.66664e15i 0.343039 + 0.198053i
\(452\) 2.72762e15 4.72437e15i 0.319855 0.554005i
\(453\) 1.40267e16 8.09833e15i 1.62318 0.937144i
\(454\) 3.50040e15i 0.399744i
\(455\) 1.45604e16 9.97968e15i 1.64099 1.12473i
\(456\) −2.01698e15 −0.224343
\(457\) −3.78307e15 6.55247e15i −0.415286 0.719296i 0.580173 0.814493i \(-0.302985\pi\)
−0.995458 + 0.0951976i \(0.969652\pi\)
\(458\) 6.92410e15 + 3.99763e15i 0.750188 + 0.433121i
\(459\) −5.29302e15 + 9.16777e15i −0.566014 + 0.980365i
\(460\) 4.66673e15 2.69434e15i 0.492567 0.284384i
\(461\) 3.83644e15i 0.399690i −0.979828 0.199845i \(-0.935956\pi\)
0.979828 0.199845i \(-0.0640439\pi\)
\(462\) −2.42970e15 + 5.07725e15i −0.249863 + 0.522127i
\(463\) 4.62714e15 0.469707 0.234853 0.972031i \(-0.424539\pi\)
0.234853 + 0.972031i \(0.424539\pi\)
\(464\) 1.57872e15 + 2.73443e15i 0.158197 + 0.274005i
\(465\) −1.62312e16 9.37108e15i −1.60558 0.926983i
\(466\) −5.26830e15 + 9.12496e15i −0.514464 + 0.891078i
\(467\) −1.22742e16 + 7.08650e15i −1.18329 + 0.683173i −0.956773 0.290834i \(-0.906067\pi\)
−0.226517 + 0.974007i \(0.572734\pi\)
\(468\) 1.84292e15i 0.175400i
\(469\) 1.16570e16 + 5.57843e15i 1.09534 + 0.524173i
\(470\) 8.88231e15 0.824022
\(471\) 3.21037e15 + 5.56052e15i 0.294056 + 0.509319i
\(472\) 5.05324e15 + 2.91749e15i 0.457001 + 0.263850i
\(473\) −2.84157e15 + 4.92175e15i −0.253742 + 0.439494i
\(474\) −7.67177e15 + 4.42930e15i −0.676434 + 0.390539i
\(475\) 5.43545e15i 0.473232i
\(476\) −4.39222e15 6.40827e15i −0.377609 0.550933i
\(477\) −2.76809e13 −0.00235001
\(478\) −2.71575e15 4.70381e15i −0.227678 0.394350i
\(479\) 3.20508e15 + 1.85045e15i 0.265354 + 0.153202i 0.626774 0.779201i \(-0.284375\pi\)
−0.361421 + 0.932403i \(0.617708\pi\)
\(480\) 1.62750e15 2.81891e15i 0.133068 0.230480i
\(481\) −2.38012e16 + 1.37416e16i −1.92189 + 1.10960i
\(482\) 2.32191e15i 0.185167i
\(483\) 1.18462e16 9.17069e14i 0.933035 0.0722302i
\(484\) −2.94997e15 −0.229481
\(485\) 5.01910e15 + 8.69334e15i 0.385634 + 0.667938i
\(486\) −3.77325e15 2.17849e15i −0.286351 0.165325i
\(487\) 8.57581e15 1.48537e16i 0.642838 1.11343i −0.341959 0.939715i \(-0.611090\pi\)
0.984796 0.173713i \(-0.0555764\pi\)
\(488\) 3.89035e15 2.24609e15i 0.288051 0.166306i
\(489\) 1.99187e16i 1.45683i
\(490\) −1.23483e16 4.77638e15i −0.892139 0.345082i
\(491\) −1.18747e16 −0.847487 −0.423744 0.905782i \(-0.639284\pi\)
−0.423744 + 0.905782i \(0.639284\pi\)
\(492\) −2.12512e15 3.68081e15i −0.149828 0.259510i
\(493\) 2.10210e16 + 1.21365e16i 1.46410 + 0.845301i
\(494\) 4.30850e15 7.46254e15i 0.296459 0.513482i
\(495\) −3.02381e15 + 1.74580e15i −0.205553 + 0.118676i
\(496\) 4.58410e15i 0.307867i
\(497\) 6.75369e14 + 8.72409e15i 0.0448129 + 0.578871i
\(498\) 7.70960e15 0.505424
\(499\) 1.47725e15 + 2.55868e15i 0.0956868 + 0.165734i 0.909895 0.414839i \(-0.136162\pi\)
−0.814208 + 0.580573i \(0.802829\pi\)
\(500\) 1.55607e15 + 8.98399e14i 0.0995887 + 0.0574976i
\(501\) 8.25933e15 1.43056e16i 0.522298 0.904647i
\(502\) 4.08743e15 2.35988e15i 0.255404 0.147458i
\(503\) 3.88753e15i 0.240030i 0.992772 + 0.120015i \(0.0382943\pi\)
−0.992772 + 0.120015i \(0.961706\pi\)
\(504\) 1.14017e15 7.81468e14i 0.0695640 0.0476791i
\(505\) −2.43337e16 −1.46710
\(506\) −3.67040e15 6.35732e15i −0.218681 0.378766i
\(507\) −1.90340e16 1.09893e16i −1.12068 0.647026i
\(508\) 2.75628e14 4.77402e14i 0.0160377 0.0277780i
\(509\) −2.28834e15 + 1.32117e15i −0.131587 + 0.0759719i −0.564349 0.825537i \(-0.690873\pi\)
0.432761 + 0.901509i \(0.357539\pi\)
\(510\) 2.50229e16i 1.42206i
\(511\) −1.32718e16 + 2.77334e16i −0.745423 + 1.55768i
\(512\) 7.96131e14 0.0441942
\(513\) 4.40333e15 + 7.62679e15i 0.241589 + 0.418444i
\(514\) −1.04225e16 6.01742e15i −0.565187 0.326311i
\(515\) −1.00235e16 + 1.73612e16i −0.537248 + 0.930541i
\(516\) 6.27568e15 3.62327e15i 0.332478 0.191956i
\(517\) 1.21001e16i 0.633642i
\(518\) 1.85942e16 + 8.89820e15i 0.962496 + 0.460600i
\(519\) 1.76794e16 0.904613
\(520\) 6.95305e15 + 1.20430e16i 0.351686 + 0.609138i
\(521\) −8.74947e15 5.05151e15i −0.437477 0.252578i 0.265050 0.964235i \(-0.414612\pi\)
−0.702527 + 0.711657i \(0.747945\pi\)
\(522\) −2.15934e15 + 3.74008e15i −0.106733 + 0.184866i
\(523\) 2.00319e16 1.15654e16i 0.978843 0.565135i 0.0769222 0.997037i \(-0.475491\pi\)
0.901921 + 0.431902i \(0.142157\pi\)
\(524\) 9.84610e15i 0.475638i
\(525\) −1.09345e16 1.59535e16i −0.522208 0.761904i
\(526\) −1.79528e16 −0.847651
\(527\) −1.76202e16 3.05191e16i −0.822522 1.42465i
\(528\) −3.84010e15 2.21708e15i −0.177231 0.102324i
\(529\) 3.20938e15 5.55881e15i 0.146449 0.253657i
\(530\) −1.80888e14 + 1.04436e14i −0.00816122 + 0.00471188i
\(531\) 7.98093e15i 0.356030i
\(532\) −6.44385e15 + 4.98846e14i −0.284234 + 0.0220038i
\(533\) 1.81580e16 0.791962
\(534\) −3.79542e14 6.57386e14i −0.0163686 0.0283513i
\(535\) −6.11311e15 3.52941e15i −0.260699 0.150515i
\(536\) −5.09027e15 + 8.81661e15i −0.214661 + 0.371803i
\(537\) −7.43989e15 + 4.29542e15i −0.310257 + 0.179127i
\(538\) 3.12491e15i 0.128868i
\(539\) −6.50669e15 + 1.68217e16i −0.265355 + 0.686021i
\(540\) −1.42122e16 −0.573188
\(541\) 1.20154e16 + 2.08113e16i 0.479243 + 0.830073i 0.999717 0.0238046i \(-0.00757796\pi\)
−0.520474 + 0.853878i \(0.674245\pi\)
\(542\) 2.96804e16 + 1.71360e16i 1.17078 + 0.675949i
\(543\) 2.17289e16 3.76355e16i 0.847692 1.46825i
\(544\) 5.30033e15 3.06015e15i 0.204508 0.118072i
\(545\) 1.55478e16i 0.593320i
\(546\) 2.36660e15 + 3.05706e16i 0.0893242 + 1.15385i
\(547\) 2.61473e16 0.976119 0.488060 0.872810i \(-0.337705\pi\)
0.488060 + 0.872810i \(0.337705\pi\)
\(548\) −1.04230e16 1.80532e16i −0.384867 0.666609i
\(549\) 5.32112e15 + 3.07215e15i 0.194343 + 0.112204i
\(550\) −5.97470e15 + 1.03485e16i −0.215844 + 0.373853i
\(551\) 1.74876e16 1.00965e16i 0.624916 0.360795i
\(552\) 9.36019e15i 0.330865i
\(553\) −2.34143e16 + 1.60481e16i −0.818711 + 0.561143i
\(554\) 1.05318e16 0.364288
\(555\) 3.31969e16 + 5.74987e16i 1.13590 + 1.96743i
\(556\) −6.76706e14 3.90696e14i −0.0229061 0.0132248i
\(557\) 9.52588e15 1.64993e16i 0.318988 0.552503i −0.661289 0.750131i \(-0.729990\pi\)
0.980277 + 0.197628i \(0.0633238\pi\)
\(558\) 5.42999e15 3.13501e15i 0.179885 0.103856i
\(559\) 3.09588e16i 1.01464i
\(560\) 4.50235e15 9.40838e15i 0.145986 0.305061i
\(561\) −3.40878e16 −1.09351
\(562\) 1.59719e16 + 2.76642e16i 0.506920 + 0.878011i
\(563\) −1.49006e16 8.60286e15i −0.467900 0.270142i 0.247460 0.968898i \(-0.420404\pi\)
−0.715360 + 0.698756i \(0.753737\pi\)
\(564\) −7.71434e15 + 1.33616e16i −0.239676 + 0.415131i
\(565\) 4.87593e16 2.81512e16i 1.49888 0.865379i
\(566\) 3.51181e16i 1.06815i
\(567\) −3.54165e16 1.69484e16i −1.06588 0.510072i
\(568\) −6.89326e15 −0.205274
\(569\) −1.64180e16 2.84368e16i −0.483779 0.837930i 0.516048 0.856560i \(-0.327403\pi\)
−0.999826 + 0.0186304i \(0.994069\pi\)
\(570\) −1.80279e16 1.04084e16i −0.525651 0.303484i
\(571\) −2.21946e16 + 3.84422e16i −0.640369 + 1.10915i 0.344981 + 0.938610i \(0.387885\pi\)
−0.985350 + 0.170543i \(0.945448\pi\)
\(572\) 1.64058e16 9.47189e15i 0.468404 0.270433i
\(573\) 5.05282e16i 1.42760i
\(574\) −7.69968e15 1.12339e16i −0.215279 0.314093i
\(575\) 2.52243e16 0.697929
\(576\) 5.44464e14 + 9.43040e14i 0.0149085 + 0.0258223i
\(577\) −1.53625e16 8.86954e15i −0.416300 0.240351i 0.277193 0.960814i \(-0.410596\pi\)
−0.693493 + 0.720463i \(0.743929\pi\)
\(578\) 1.03417e16 1.79124e16i 0.277349 0.480383i
\(579\) 2.77965e16 1.60483e16i 0.737767 0.425950i
\(580\) 3.25874e16i 0.856015i
\(581\) 2.46307e16 1.90676e15i 0.640352 0.0495724i
\(582\) −1.74365e16 −0.448664
\(583\) 1.42269e14 + 2.46418e14i 0.00362326 + 0.00627568i
\(584\) −2.09758e16 1.21104e16i −0.528739 0.305267i
\(585\) −9.51020e15 + 1.64722e16i −0.237276 + 0.410975i
\(586\) −2.62124e16 + 1.51338e16i −0.647324 + 0.373733i
\(587\) 1.42997e16i 0.349542i −0.984609 0.174771i \(-0.944081\pi\)
0.984609 0.174771i \(-0.0559185\pi\)
\(588\) 1.79097e16 1.44273e16i 0.433336 0.349076i
\(589\) −2.93169e16 −0.702145
\(590\) 3.01108e16 + 5.21535e16i 0.713856 + 1.23644i
\(591\) 2.10036e15 + 1.21264e15i 0.0492911 + 0.0284582i
\(592\) −8.11954e15 + 1.40635e16i −0.188626 + 0.326710i
\(593\) 6.69933e15 3.86786e15i 0.154065 0.0889493i −0.420986 0.907067i \(-0.638316\pi\)
0.575050 + 0.818118i \(0.304982\pi\)
\(594\) 1.93607e16i 0.440761i
\(595\) −6.18875e15 7.99433e16i −0.139477 1.80169i
\(596\) −4.15136e16 −0.926218
\(597\) 2.41799e16 + 4.18807e16i 0.534082 + 0.925057i
\(598\) −3.46314e16 1.99944e16i −0.757291 0.437222i
\(599\) −1.42448e16 + 2.46727e16i −0.308387 + 0.534141i −0.978010 0.208560i \(-0.933122\pi\)
0.669623 + 0.742701i \(0.266456\pi\)
\(600\) 1.31953e16 7.61829e15i 0.282820 0.163286i
\(601\) 1.25771e16i 0.266892i −0.991056 0.133446i \(-0.957396\pi\)
0.991056 0.133446i \(-0.0426042\pi\)
\(602\) 1.91534e16 1.31277e16i 0.402409 0.275811i
\(603\) −1.39247e16 −0.289656
\(604\) 2.04429e16 + 3.54082e16i 0.421039 + 0.729260i
\(605\) −2.63671e16 1.52231e16i −0.537688 0.310434i
\(606\) 2.11340e16 3.66051e16i 0.426723 0.739105i
\(607\) −3.41643e16 + 1.97248e16i −0.683030 + 0.394348i −0.800996 0.598670i \(-0.795696\pi\)
0.117965 + 0.993018i \(0.462363\pi\)
\(608\) 5.09155e15i 0.100793i
\(609\) −3.10165e16 + 6.48139e16i −0.607980 + 1.27047i
\(610\) 4.63630e16 0.899897
\(611\) −3.29574e16 5.70839e16i −0.633441 1.09715i
\(612\) 7.24966e15 + 4.18559e15i 0.137978 + 0.0796615i
\(613\) 1.23442e16 2.13807e16i 0.232648 0.402958i −0.725939 0.687759i \(-0.758594\pi\)
0.958586 + 0.284802i \(0.0919277\pi\)
\(614\) −2.89210e16 + 1.66975e16i −0.539763 + 0.311632i
\(615\) 4.38659e16i 0.810730i
\(616\) −1.28167e16 6.13340e15i −0.234581 0.112258i
\(617\) −4.97598e16 −0.901919 −0.450959 0.892545i \(-0.648918\pi\)
−0.450959 + 0.892545i \(0.648918\pi\)
\(618\) −1.74109e16 3.01566e16i −0.312529 0.541316i
\(619\) −1.68034e16 9.70147e15i −0.298713 0.172462i 0.343152 0.939280i \(-0.388506\pi\)
−0.641865 + 0.766818i \(0.721839\pi\)
\(620\) 2.36558e16 4.09730e16i 0.416474 0.721353i
\(621\) 3.53936e16 2.04345e16i 0.617128 0.356299i
\(622\) 2.20340e16i 0.380497i
\(623\) −1.37515e15 2.00635e15i −0.0235191 0.0343145i
\(624\) −2.41551e16 −0.409167
\(625\) 3.40077e16 + 5.89031e16i 0.570555 + 0.988230i
\(626\) −1.30437e16 7.53079e15i −0.216748 0.125139i
\(627\) −1.41791e16 + 2.45588e16i −0.233368 + 0.404206i
\(628\) −1.40366e16 + 8.10406e15i −0.228826 + 0.132113i
\(629\) 1.24839e17i 2.01579i
\(630\) 1.42236e16 1.10111e15i 0.227492 0.0176111i
\(631\) 1.89698e16 0.300530 0.150265 0.988646i \(-0.451987\pi\)
0.150265 + 0.988646i \(0.451987\pi\)
\(632\) −1.11811e16 1.93662e16i −0.175461 0.303907i
\(633\) 9.11041e16 + 5.25990e16i 1.41617 + 0.817627i
\(634\) 3.36715e16 5.83208e16i 0.518474 0.898024i
\(635\) 4.92717e15 2.84470e15i 0.0751546 0.0433905i
\(636\) 3.62813e14i 0.00548201i
\(637\) 1.51216e16 + 9.70817e16i 0.226341 + 1.45312i
\(638\) 4.43926e16 0.658244
\(639\) −4.71421e15 8.16526e15i −0.0692475 0.119940i
\(640\) 7.11589e15 + 4.10836e15i 0.103550 + 0.0597845i
\(641\) −2.80509e16 + 4.85856e16i −0.404389 + 0.700422i −0.994250 0.107083i \(-0.965849\pi\)
0.589861 + 0.807505i \(0.299182\pi\)
\(642\) 1.06186e16 6.13063e15i 0.151655 0.0875578i
\(643\) 3.11805e15i 0.0441182i 0.999757 + 0.0220591i \(0.00702220\pi\)
−0.999757 + 0.0220591i \(0.992978\pi\)
\(644\) 2.31499e15 + 2.99040e16i 0.0324515 + 0.419192i
\(645\) 7.47901e16 1.03869
\(646\) −1.95707e16 3.38975e16i −0.269285 0.466415i
\(647\) 6.91898e16 + 3.99467e16i 0.943227 + 0.544572i 0.890970 0.454061i \(-0.150025\pi\)
0.0522565 + 0.998634i \(0.483359\pi\)
\(648\) 1.54653e16 2.67867e16i 0.208886 0.361801i
\(649\) 7.10469e16 4.10189e16i 0.950773 0.548929i
\(650\) 6.50941e16i 0.863101i
\(651\) 8.60477e16 5.89769e16i 1.13045 0.774812i
\(652\) 5.02816e16 0.654521
\(653\) −6.87264e16 1.19038e17i −0.886430 1.53534i −0.844066 0.536240i \(-0.819844\pi\)
−0.0423648 0.999102i \(-0.513489\pi\)
\(654\) −2.33884e16 1.35033e16i −0.298906 0.172574i
\(655\) −5.08099e16 + 8.80053e16i −0.643429 + 1.11445i
\(656\) 9.29163e15 5.36453e15i 0.116592 0.0673144i
\(657\) 3.31285e16i 0.411917i
\(658\) −2.13411e16 + 4.45957e16i −0.262943 + 0.549462i
\(659\) −2.77636e15 −0.0338972 −0.0169486 0.999856i \(-0.505395\pi\)
−0.0169486 + 0.999856i \(0.505395\pi\)
\(660\) −2.28821e16 3.96330e16i −0.276842 0.479505i
\(661\) 1.34435e17 + 7.76164e16i 1.61178 + 0.930560i 0.988958 + 0.148195i \(0.0473463\pi\)
0.622820 + 0.782365i \(0.285987\pi\)
\(662\) −5.08213e15 + 8.80251e15i −0.0603807 + 0.104582i
\(663\) −1.60815e17 + 9.28465e16i −1.89341 + 1.09316i
\(664\) 1.94617e16i 0.227076i
\(665\) −6.01700e16 2.87942e16i −0.695745 0.332947i
\(666\) −2.22114e16 −0.254525
\(667\) −4.68547e16 8.11548e16i −0.532106 0.921635i
\(668\) 3.61122e16 + 2.08494e16i 0.406438 + 0.234657i
\(669\) 4.26015e16 7.37879e16i 0.475191 0.823054i
\(670\) −9.09946e16 + 5.25358e16i −1.00593 + 0.580773i
\(671\) 6.31587e16i 0.691988i
\(672\) 1.02427e16 + 1.49441e16i 0.111224 + 0.162276i
\(673\) 4.53293e15 0.0487852 0.0243926 0.999702i \(-0.492235\pi\)
0.0243926 + 0.999702i \(0.492235\pi\)
\(674\) −2.33048e16 4.03652e16i −0.248592 0.430574i
\(675\) −5.76139e16 3.32634e16i −0.609123 0.351677i
\(676\) 2.77407e16 4.80483e16i 0.290695 0.503498i
\(677\) −8.53907e16 + 4.93003e16i −0.886908 + 0.512057i −0.872930 0.487846i \(-0.837783\pi\)
−0.0139781 + 0.999902i \(0.504450\pi\)
\(678\) 9.77981e16i 1.00682i
\(679\) −5.57061e16 + 4.31245e15i −0.568439 + 0.0440053i
\(680\) 6.31664e16 0.638899
\(681\) 3.13765e16 + 5.43457e16i 0.314573 + 0.544857i
\(682\) −5.58161e16 3.22255e16i −0.554694 0.320253i
\(683\) −3.01263e16 + 5.21802e16i −0.296771 + 0.514022i −0.975395 0.220463i \(-0.929243\pi\)
0.678625 + 0.734485i \(0.262576\pi\)
\(684\) 6.03108e15 3.48205e15i 0.0588923 0.0340015i
\(685\) 2.15148e17i 2.08255i
\(686\) 5.36498e16 5.05217e16i 0.514782 0.484768i
\(687\) −1.43334e17 −1.36336
\(688\) 9.14636e15 + 1.58420e16i 0.0862418 + 0.149375i
\(689\) 1.34236e15 + 7.75010e14i 0.0125474 + 0.00724422i
\(690\) −4.83024e16 + 8.36622e16i −0.447584 + 0.775238i
\(691\) 1.24730e15 7.20129e14i 0.0114578 0.00661518i −0.494260 0.869314i \(-0.664561\pi\)
0.505718 + 0.862699i \(0.331228\pi\)
\(692\) 4.46288e16i 0.406423i
\(693\) −1.50000e15 1.93763e16i −0.0135423 0.174933i
\(694\) −3.94909e16 −0.353460
\(695\) −4.03230e15 6.98415e15i −0.0357803 0.0619733i
\(696\) −4.90211e16 2.83023e16i −0.431248 0.248981i
\(697\) 4.12400e16 7.14298e16i 0.359685 0.622992i
\(698\) −9.81877e15 + 5.66887e15i −0.0849033 + 0.0490190i
\(699\) 1.88894e17i 1.61940i
\(700\) 4.02721e16 2.76024e16i 0.342307 0.234617i
\(701\) 1.76004e17 1.48325 0.741623 0.670817i \(-0.234056\pi\)
0.741623 + 0.670817i \(0.234056\pi\)
\(702\) 5.27336e16 + 9.13373e16i 0.440621 + 0.763177i
\(703\) 8.99409e16 + 5.19274e16i 0.745118 + 0.430194i
\(704\) 5.59668e15 9.69373e15i 0.0459721 0.0796260i
\(705\) −1.37903e17 + 7.96183e16i −1.12315 + 0.648452i
\(706\) 1.28265e16i 0.103581i
\(707\) 5.84656e16 1.22173e17i 0.468149 0.978271i
\(708\) −1.04606e17 −0.830532
\(709\) −7.39721e16 1.28123e17i −0.582358 1.00867i −0.995199 0.0978712i \(-0.968797\pi\)
0.412841 0.910803i \(-0.364537\pi\)
\(710\) −6.16125e16 3.55720e16i −0.480971 0.277689i
\(711\) 1.52932e16 2.64886e16i 0.118380 0.205041i
\(712\) 1.65947e15 9.58094e14i 0.0127376 0.00735407i
\(713\) 1.36051e17i 1.03553i
\(714\) 1.25633e17 + 6.01215e16i 0.948235 + 0.453775i
\(715\) 1.95515e17 1.46334
\(716\) −1.08431e16 1.87808e16i −0.0804778 0.139392i
\(717\) 8.43270e16 + 4.86862e16i 0.620657 + 0.358336i
\(718\) −1.34076e16 + 2.32227e16i −0.0978601 + 0.169499i
\(719\) −1.77523e16 + 1.02493e16i −0.128493 + 0.0741857i −0.562869 0.826546i \(-0.690302\pi\)
0.434375 + 0.900732i \(0.356969\pi\)
\(720\) 1.12386e16i 0.0806712i
\(721\) −6.30828e16 9.20381e16i −0.449055 0.655173i
\(722\) 6.76009e16 0.477232
\(723\) 2.08129e16 + 3.60490e16i 0.145714 + 0.252385i
\(724\) 9.50049e16 + 5.48511e16i 0.659651 + 0.380850i
\(725\) −7.62704e16 + 1.32104e17i −0.525204 + 0.909680i
\(726\) 4.58000e16 2.64427e16i 0.312785 0.180586i
\(727\) 9.52642e15i 0.0645243i 0.999479 + 0.0322621i \(0.0102711\pi\)
−0.999479 + 0.0322621i \(0.989729\pi\)
\(728\) −7.71706e16 + 5.97411e15i −0.518398 + 0.0401315i
\(729\) −9.92481e16 −0.661237
\(730\) −1.24989e17 2.16487e17i −0.825913 1.43052i
\(731\) 1.21786e17 + 7.03130e16i 0.798164 + 0.460820i
\(732\) −4.02666e16 + 6.97438e16i −0.261745 + 0.453356i
\(733\) 8.31903e16 4.80299e16i 0.536351 0.309662i −0.207248 0.978288i \(-0.566451\pi\)
0.743599 + 0.668626i \(0.233117\pi\)
\(734\) 2.11857e16i 0.135477i
\(735\) 2.34529e17 3.65307e16i 1.48755 0.231704i
\(736\) −2.36283e16 −0.148650
\(737\) 7.15676e16 + 1.23959e17i 0.446593 + 0.773521i
\(738\) 1.27089e16 + 7.33747e15i 0.0786626 + 0.0454159i
\(739\) −1.14442e17 + 1.98220e17i −0.702618 + 1.21697i 0.264926 + 0.964269i \(0.414653\pi\)
−0.967544 + 0.252702i \(0.918681\pi\)
\(740\) −1.45146e17 + 8.38003e16i −0.883926 + 0.510335i
\(741\) 1.54480e17i 0.933177i
\(742\) −8.97321e13 1.15912e15i −0.000537681 0.00694549i
\(743\) −1.73334e17 −1.03027 −0.515136 0.857109i \(-0.672258\pi\)
−0.515136 + 0.857109i \(0.672258\pi\)
\(744\) 4.10904e16 + 7.11707e16i 0.242272 + 0.419627i
\(745\) −3.71052e17 2.14227e17i −2.17019 1.25296i
\(746\) 5.29906e16 9.17824e16i 0.307444 0.532508i
\(747\) −2.30529e16 + 1.33096e16i −0.132679 + 0.0766022i
\(748\) 8.60493e16i 0.491290i
\(749\) 3.24079e16 2.22124e16i 0.183553 0.125807i
\(750\) −3.22119e16 −0.180988
\(751\) −5.91242e16 1.02406e17i −0.329553 0.570803i 0.652870 0.757470i \(-0.273565\pi\)
−0.982423 + 0.186667i \(0.940231\pi\)
\(752\) −3.37293e16 1.94736e16i −0.186509 0.107681i
\(753\) −4.23064e16 + 7.32769e16i −0.232079 + 0.401973i
\(754\) 2.09429e17 1.20914e17i 1.13975 0.658035i
\(755\) 4.21976e17i 2.27827i
\(756\) 3.41469e16 7.13554e16i 0.182903 0.382205i