Properties

Label 14.13.d.a.5.1
Level $14$
Weight $13$
Character 14.5
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 5.1
Root \(-213.975 + 370.616i\) of defining polynomial
Character \(\chi\) \(=\) 14.5
Dual form 14.13.d.a.3.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-22.6274 + 39.1918i) q^{2} +(-745.979 + 430.691i) q^{3} +(-1024.00 - 1773.62i) q^{4} +(-7532.28 - 4348.76i) q^{5} -38981.7i q^{6} +(-93774.2 - 71047.1i) q^{7} +92681.9 q^{8} +(105269. - 182331. i) q^{9} +O(q^{10})\) \(q+(-22.6274 + 39.1918i) q^{2} +(-745.979 + 430.691i) q^{3} +(-1024.00 - 1773.62i) q^{4} +(-7532.28 - 4348.76i) q^{5} -38981.7i q^{6} +(-93774.2 - 71047.1i) q^{7} +92681.9 q^{8} +(105269. - 182331. i) q^{9} +(340872. - 196803. i) q^{10} +(257922. + 446735. i) q^{11} +(1.52776e6 + 882055. i) q^{12} +2.74786e6i q^{13} +(4.90633e6 - 2.06757e6i) q^{14} +7.49190e6 q^{15} +(-2.09715e6 + 3.63237e6i) q^{16} +(5.50579e6 - 3.17877e6i) q^{17} +(4.76393e6 + 8.25138e6i) q^{18} +(6.71736e7 + 3.87827e7i) q^{19} +1.78125e7i q^{20} +(1.00553e8 + 1.26120e7i) q^{21} -2.33445e7 q^{22} +(5.20289e7 - 9.01168e7i) q^{23} +(-6.91387e7 + 3.99173e7i) q^{24} +(-8.42468e7 - 1.45920e8i) q^{25} +(-1.07694e8 - 6.21770e7i) q^{26} -2.76420e8i q^{27} +(-2.99859e7 + 2.39072e8i) q^{28} -1.41564e8 q^{29} +(-1.69522e8 + 2.93621e8i) q^{30} +(-6.99677e8 + 4.03959e8i) q^{31} +(-9.49063e7 - 1.64382e8i) q^{32} +(-3.84809e8 - 2.22170e8i) q^{33} +2.87709e8i q^{34} +(3.97366e8 + 9.42949e8i) q^{35} -4.31182e8 q^{36} +(1.86759e9 - 3.23475e9i) q^{37} +(-3.03993e9 + 1.75510e9i) q^{38} +(-1.18348e9 - 2.04985e9i) q^{39} +(-6.98106e8 - 4.03052e8i) q^{40} -4.75235e9i q^{41} +(-2.76954e9 + 3.65548e9i) q^{42} +8.94118e9 q^{43} +(5.28225e8 - 9.14913e8i) q^{44} +(-1.58583e9 + 9.15581e8i) q^{45} +(2.35456e9 + 4.07822e9i) q^{46} +(1.79163e10 + 1.03440e10i) q^{47} -3.61290e9i q^{48} +(3.74590e9 + 1.33248e10i) q^{49} +7.62515e9 q^{50} +(-2.73814e9 + 4.74259e9i) q^{51} +(4.87367e9 - 2.81381e9i) q^{52} +(-1.17271e10 - 2.03119e10i) q^{53} +(1.08334e10 + 6.25467e9i) q^{54} -4.48657e9i q^{55} +(-8.69117e9 - 6.58478e9i) q^{56} -6.68134e10 q^{57} +(3.20324e9 - 5.54817e9i) q^{58} +(-1.83475e9 + 1.05929e9i) q^{59} +(-7.67170e9 - 1.32878e10i) q^{60} +(-7.28376e9 - 4.20528e9i) q^{61} -3.65622e10i q^{62} +(-2.28256e10 + 9.61890e9i) q^{63} +8.58993e9 q^{64} +(1.19498e10 - 2.06977e10i) q^{65} +(1.74145e10 - 1.00543e10i) q^{66} +(3.27239e10 + 5.66794e10i) q^{67} +(-1.12759e10 - 6.51012e9i) q^{68} +8.96336e10i q^{69} +(-4.59473e10 - 5.76299e9i) q^{70} -2.46780e11 q^{71} +(9.75654e9 - 1.68988e10i) q^{72} +(8.87210e10 - 5.12231e10i) q^{73} +(8.45173e10 + 1.46388e11i) q^{74} +(1.25693e11 + 7.25687e10i) q^{75} -1.58854e11i q^{76} +(7.55276e9 - 6.02168e10i) q^{77} +1.07116e11 q^{78} +(1.38548e11 - 2.39973e11i) q^{79} +(3.15927e10 - 1.82400e10i) q^{80} +(1.74996e11 + 3.03102e11i) q^{81} +(1.86253e11 + 1.07533e11i) q^{82} +8.18271e10i q^{83} +(-8.05973e10 - 1.91257e11i) q^{84} -5.52949e10 q^{85} +(-2.02316e11 + 3.50421e11i) q^{86} +(1.05604e11 - 6.09705e10i) q^{87} +(2.39047e10 + 4.14042e10i) q^{88} +(-4.69496e10 - 2.71064e10i) q^{89} -8.28689e10i q^{90} +(1.95228e11 - 2.57679e11i) q^{91} -2.13111e11 q^{92} +(3.47963e11 - 6.02689e11i) q^{93} +(-8.10797e11 + 4.68114e11i) q^{94} +(-3.37314e11 - 5.84244e11i) q^{95} +(1.41596e11 + 8.17506e10i) q^{96} +3.42738e11i q^{97} +(-6.06982e11 - 1.54697e11i) q^{98} +1.08605e11 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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −22.6274 + 39.1918i −0.353553 + 0.612372i
\(3\) −745.979 + 430.691i −1.02329 + 0.590797i −0.915055 0.403328i \(-0.867853\pi\)
−0.108235 + 0.994125i \(0.534520\pi\)
\(4\) −1024.00 1773.62i −0.250000 0.433013i
\(5\) −7532.28 4348.76i −0.482066 0.278321i 0.239211 0.970968i \(-0.423111\pi\)
−0.721277 + 0.692647i \(0.756445\pi\)
\(6\) 38981.7i 0.835513i
\(7\) −93774.2 71047.1i −0.797067 0.603891i
\(8\) 92681.9 0.353553
\(9\) 105269. 182331.i 0.198082 0.343089i
\(10\) 340872. 196803.i 0.340872 0.196803i
\(11\) 257922. + 446735.i 0.145590 + 0.252170i 0.929593 0.368587i \(-0.120158\pi\)
−0.784003 + 0.620758i \(0.786825\pi\)
\(12\) 1.52776e6 + 882055.i 0.511645 + 0.295399i
\(13\) 2.74786e6i 0.569292i 0.958633 + 0.284646i \(0.0918760\pi\)
−0.958633 + 0.284646i \(0.908124\pi\)
\(14\) 4.90633e6 2.06757e6i 0.651612 0.274594i
\(15\) 7.49190e6 0.657725
\(16\) −2.09715e6 + 3.63237e6i −0.125000 + 0.216506i
\(17\) 5.50579e6 3.17877e6i 0.228100 0.131694i −0.381595 0.924330i \(-0.624625\pi\)
0.609695 + 0.792636i \(0.291292\pi\)
\(18\) 4.76393e6 + 8.25138e6i 0.140065 + 0.242600i
\(19\) 6.71736e7 + 3.87827e7i 1.42783 + 0.824359i 0.996949 0.0780497i \(-0.0248693\pi\)
0.430882 + 0.902408i \(0.358203\pi\)
\(20\) 1.78125e7i 0.278321i
\(21\) 1.00553e8 + 1.26120e7i 1.17241 + 0.147051i
\(22\) −2.33445e7 −0.205896
\(23\) 5.20289e7 9.01168e7i 0.351462 0.608750i −0.635044 0.772476i \(-0.719018\pi\)
0.986506 + 0.163726i \(0.0523514\pi\)
\(24\) −6.91387e7 + 3.99173e7i −0.361788 + 0.208878i
\(25\) −8.42468e7 1.45920e8i −0.345075 0.597687i
\(26\) −1.07694e8 6.21770e7i −0.348619 0.201275i
\(27\) 2.76420e8i 0.713488i
\(28\) −2.99859e7 + 2.39072e8i −0.0622255 + 0.496113i
\(29\) −1.41564e8 −0.237994 −0.118997 0.992895i \(-0.537968\pi\)
−0.118997 + 0.992895i \(0.537968\pi\)
\(30\) −1.69522e8 + 2.93621e8i −0.232541 + 0.402772i
\(31\) −6.99677e8 + 4.03959e8i −0.788365 + 0.455163i −0.839387 0.543535i \(-0.817086\pi\)
0.0510215 + 0.998698i \(0.483752\pi\)
\(32\) −9.49063e7 1.64382e8i −0.0883883 0.153093i
\(33\) −3.84809e8 2.22170e8i −0.297963 0.172029i
\(34\) 2.87709e8i 0.186243i
\(35\) 3.97366e8 + 9.42949e8i 0.216164 + 0.512956i
\(36\) −4.31182e8 −0.198082
\(37\) 1.86759e9 3.23475e9i 0.727898 1.26076i −0.229873 0.973221i \(-0.573831\pi\)
0.957770 0.287535i \(-0.0928357\pi\)
\(38\) −3.03993e9 + 1.75510e9i −1.00963 + 0.582910i
\(39\) −1.18348e9 2.04985e9i −0.336336 0.582551i
\(40\) −6.98106e8 4.03052e8i −0.170436 0.0984013i
\(41\) 4.75235e9i 1.00047i −0.865889 0.500236i \(-0.833246\pi\)
0.865889 0.500236i \(-0.166754\pi\)
\(42\) −2.76954e9 + 3.65548e9i −0.504559 + 0.665960i
\(43\) 8.94118e9 1.41444 0.707219 0.706994i \(-0.249949\pi\)
0.707219 + 0.706994i \(0.249949\pi\)
\(44\) 5.28225e8 9.14913e8i 0.0727952 0.126085i
\(45\) −1.58583e9 + 9.15581e8i −0.190977 + 0.110261i
\(46\) 2.35456e9 + 4.07822e9i 0.248521 + 0.430451i
\(47\) 1.79163e10 + 1.03440e10i 1.66211 + 0.959621i 0.971705 + 0.236199i \(0.0759018\pi\)
0.690407 + 0.723421i \(0.257432\pi\)
\(48\) 3.61290e9i 0.295399i
\(49\) 3.74590e9 + 1.33248e10i 0.270632 + 0.962683i
\(50\) 7.62515e9 0.488010
\(51\) −2.73814e9 + 4.74259e9i −0.155609 + 0.269522i
\(52\) 4.87367e9 2.81381e9i 0.246511 0.142323i
\(53\) −1.17271e10 2.03119e10i −0.529097 0.916423i −0.999424 0.0339308i \(-0.989197\pi\)
0.470327 0.882492i \(-0.344136\pi\)
\(54\) 1.08334e10 + 6.25467e9i 0.436921 + 0.252256i
\(55\) 4.48657e9i 0.162083i
\(56\) −8.69117e9 6.58478e9i −0.281806 0.213508i
\(57\) −6.68134e10 −1.94811
\(58\) 3.20324e9 5.54817e9i 0.0841436 0.145741i
\(59\) −1.83475e9 + 1.05929e9i −0.0434976 + 0.0251133i −0.521591 0.853196i \(-0.674661\pi\)
0.478094 + 0.878309i \(0.341328\pi\)
\(60\) −7.67170e9 1.32878e10i −0.164431 0.284803i
\(61\) −7.28376e9 4.20528e9i −0.141376 0.0816237i 0.427643 0.903947i \(-0.359344\pi\)
−0.569020 + 0.822324i \(0.692677\pi\)
\(62\) 3.65622e10i 0.643697i
\(63\) −2.28256e10 + 9.61890e9i −0.365073 + 0.153845i
\(64\) 8.58993e9 0.125000
\(65\) 1.19498e10 2.06977e10i 0.158446 0.274436i
\(66\) 1.74145e10 1.00543e10i 0.210691 0.121643i
\(67\) 3.27239e10 + 5.66794e10i 0.361756 + 0.626580i 0.988250 0.152846i \(-0.0488439\pi\)
−0.626494 + 0.779426i \(0.715511\pi\)
\(68\) −1.12759e10 6.51012e9i −0.114050 0.0658469i
\(69\) 8.96336e10i 0.830570i
\(70\) −4.59473e10 5.76299e9i −0.390545 0.0489846i
\(71\) −2.46780e11 −1.92646 −0.963229 0.268683i \(-0.913411\pi\)
−0.963229 + 0.268683i \(0.913411\pi\)
\(72\) 9.75654e9 1.68988e10i 0.0700327 0.121300i
\(73\) 8.87210e10 5.12231e10i 0.586259 0.338477i −0.177358 0.984146i \(-0.556755\pi\)
0.763617 + 0.645670i \(0.223422\pi\)
\(74\) 8.45173e10 + 1.46388e11i 0.514701 + 0.891489i
\(75\) 1.25693e11 + 7.25687e10i 0.706224 + 0.407738i
\(76\) 1.58854e11i 0.824359i
\(77\) 7.55276e9 6.02168e10i 0.0362378 0.288917i
\(78\) 1.07116e11 0.475651
\(79\) 1.38548e11 2.39973e11i 0.569952 0.987187i −0.426618 0.904432i \(-0.640295\pi\)
0.996570 0.0827544i \(-0.0263717\pi\)
\(80\) 3.15927e10 1.82400e10i 0.120516 0.0695802i
\(81\) 1.74996e11 + 3.03102e11i 0.619609 + 1.07319i
\(82\) 1.86253e11 + 1.07533e11i 0.612662 + 0.353720i
\(83\) 8.18271e10i 0.250281i 0.992139 + 0.125141i \(0.0399382\pi\)
−0.992139 + 0.125141i \(0.960062\pi\)
\(84\) −8.05973e10 1.91257e11i −0.229427 0.544430i
\(85\) −5.52949e10 −0.146613
\(86\) −2.02316e11 + 3.50421e11i −0.500080 + 0.866163i
\(87\) 1.05604e11 6.09705e10i 0.243537 0.140606i
\(88\) 2.39047e10 + 4.14042e10i 0.0514740 + 0.0891556i
\(89\) −4.69496e10 2.71064e10i −0.0944695 0.0545420i 0.452021 0.892007i \(-0.350703\pi\)
−0.546491 + 0.837465i \(0.684037\pi\)
\(90\) 8.28689e10i 0.155932i
\(91\) 1.95228e11 2.57679e11i 0.343790 0.453764i
\(92\) −2.13111e11 −0.351462
\(93\) 3.47963e11 6.02689e11i 0.537818 0.931528i
\(94\) −8.10797e11 + 4.68114e11i −1.17529 + 0.678554i
\(95\) −3.37314e11 5.84244e11i −0.458873 0.794791i
\(96\) 1.41596e11 + 8.17506e10i 0.180894 + 0.104439i
\(97\) 3.42738e11i 0.411465i 0.978608 + 0.205732i \(0.0659576\pi\)
−0.978608 + 0.205732i \(0.934042\pi\)
\(98\) −6.06982e11 1.54697e11i −0.685203 0.174632i
\(99\) 1.08605e11 0.115356
\(100\) −1.72537e11 + 2.98844e11i −0.172537 + 0.298844i
\(101\) −1.47590e12 + 8.52112e11i −1.39037 + 0.802728i −0.993356 0.115086i \(-0.963286\pi\)
−0.397010 + 0.917814i \(0.629952\pi\)
\(102\) −1.23914e11 2.14625e11i −0.110032 0.190581i
\(103\) 1.13530e12 + 6.55464e11i 0.950793 + 0.548941i 0.893327 0.449407i \(-0.148365\pi\)
0.0574658 + 0.998347i \(0.481698\pi\)
\(104\) 2.54677e11i 0.201275i
\(105\) −7.02546e11 5.32278e11i −0.524251 0.397194i
\(106\) 1.06142e12 0.748256
\(107\) 1.01708e12 1.76164e12i 0.677727 1.17386i −0.297937 0.954585i \(-0.596299\pi\)
0.975664 0.219271i \(-0.0703680\pi\)
\(108\) −4.90264e11 + 2.83054e11i −0.308950 + 0.178372i
\(109\) −1.09731e12 1.90060e12i −0.654290 1.13326i −0.982071 0.188510i \(-0.939634\pi\)
0.327781 0.944754i \(-0.393699\pi\)
\(110\) 1.75837e11 + 1.01520e11i 0.0992555 + 0.0573052i
\(111\) 3.21741e12i 1.72016i
\(112\) 4.54728e11 1.91626e11i 0.230380 0.0970838i
\(113\) −2.33384e11 −0.112098 −0.0560492 0.998428i \(-0.517850\pi\)
−0.0560492 + 0.998428i \(0.517850\pi\)
\(114\) 1.51182e12 2.61854e12i 0.688763 1.19297i
\(115\) −7.83793e11 + 4.52523e11i −0.338855 + 0.195638i
\(116\) 1.44962e11 + 2.51081e11i 0.0594985 + 0.103054i
\(117\) 5.01022e11 + 2.89265e11i 0.195318 + 0.112767i
\(118\) 9.58763e10i 0.0355156i
\(119\) −7.42143e11 9.30842e10i −0.261340 0.0327789i
\(120\) 6.94363e11 0.232541
\(121\) 1.43617e12 2.48751e12i 0.457607 0.792598i
\(122\) 3.29625e11 1.90309e11i 0.0999682 0.0577166i
\(123\) 2.04679e12 + 3.54515e12i 0.591076 + 1.02377i
\(124\) 1.43294e12 + 8.27307e11i 0.394183 + 0.227581i
\(125\) 3.58890e12i 0.940808i
\(126\) 1.39503e11 1.11223e12i 0.0348626 0.277953i
\(127\) 5.43716e12 1.29583 0.647917 0.761711i \(-0.275640\pi\)
0.647917 + 0.761711i \(0.275640\pi\)
\(128\) −1.94368e11 + 3.36655e11i −0.0441942 + 0.0765466i
\(129\) −6.66993e12 + 3.85089e12i −1.44738 + 0.835646i
\(130\) 5.40787e11 + 9.36670e11i 0.112038 + 0.194056i
\(131\) 7.18347e12 + 4.14738e12i 1.42137 + 0.820627i 0.996416 0.0845881i \(-0.0269575\pi\)
0.424953 + 0.905216i \(0.360291\pi\)
\(132\) 9.10007e11i 0.172029i
\(133\) −3.54375e12 8.40930e12i −0.640255 1.51932i
\(134\) −2.96183e12 −0.511601
\(135\) −1.20209e12 + 2.08207e12i −0.198579 + 0.343948i
\(136\) 5.10287e11 2.94614e11i 0.0806457 0.0465608i
\(137\) −1.43911e12 2.49260e12i −0.217655 0.376990i 0.736435 0.676508i \(-0.236508\pi\)
−0.954091 + 0.299518i \(0.903174\pi\)
\(138\) −3.51291e12 2.02818e12i −0.508618 0.293651i
\(139\) 7.39529e12i 1.02534i −0.858587 0.512669i \(-0.828657\pi\)
0.858587 0.512669i \(-0.171343\pi\)
\(140\) 1.26553e12 1.67036e12i 0.168075 0.221840i
\(141\) −1.78202e13 −2.26776
\(142\) 5.58399e12 9.67175e12i 0.681105 1.17971i
\(143\) −1.22757e12 + 7.08735e11i −0.143558 + 0.0828835i
\(144\) 4.41530e11 + 7.64753e11i 0.0495206 + 0.0857722i
\(145\) 1.06630e12 + 6.15630e11i 0.114729 + 0.0662387i
\(146\) 4.63619e12i 0.478678i
\(147\) −8.53322e12 8.32667e12i −0.845685 0.825216i
\(148\) −7.64963e12 −0.727898
\(149\) −9.78126e11 + 1.69416e12i −0.0893876 + 0.154824i −0.907252 0.420587i \(-0.861824\pi\)
0.817865 + 0.575410i \(0.195158\pi\)
\(150\) −5.68820e12 + 3.28408e12i −0.499376 + 0.288315i
\(151\) 7.20437e12 + 1.24783e13i 0.607763 + 1.05268i 0.991608 + 0.129279i \(0.0412662\pi\)
−0.383845 + 0.923397i \(0.625400\pi\)
\(152\) 6.22577e12 + 3.59445e12i 0.504815 + 0.291455i
\(153\) 1.33850e12i 0.104345i
\(154\) 2.18911e12 + 1.65856e12i 0.164113 + 0.124339i
\(155\) 7.02689e12 0.506725
\(156\) −2.42377e12 + 4.19809e12i −0.168168 + 0.291276i
\(157\) 1.59678e13 9.21899e12i 1.06622 0.615582i 0.139073 0.990282i \(-0.455588\pi\)
0.927146 + 0.374701i \(0.122255\pi\)
\(158\) 6.26998e12 + 1.08599e13i 0.403017 + 0.698046i
\(159\) 1.74963e13 + 1.01015e13i 1.08284 + 0.625178i
\(160\) 1.65090e12i 0.0984013i
\(161\) −1.12815e13 + 4.75412e12i −0.647757 + 0.272970i
\(162\) −1.58388e13 −0.876260
\(163\) 1.38586e13 2.40039e13i 0.738916 1.27984i −0.214069 0.976819i \(-0.568672\pi\)
0.952984 0.303021i \(-0.0979951\pi\)
\(164\) −8.42886e12 + 4.86641e12i −0.433217 + 0.250118i
\(165\) 1.93233e12 + 3.34689e12i 0.0957584 + 0.165858i
\(166\) −3.20695e12 1.85154e12i −0.153265 0.0884879i
\(167\) 1.19940e12i 0.0552923i 0.999618 + 0.0276461i \(0.00880116\pi\)
−0.999618 + 0.0276461i \(0.991199\pi\)
\(168\) 9.31943e12 + 1.16890e12i 0.414509 + 0.0519903i
\(169\) 1.57473e13 0.675907
\(170\) 1.25118e12 2.16711e12i 0.0518354 0.0897815i
\(171\) 1.41426e13 8.16523e12i 0.565656 0.326582i
\(172\) −9.15577e12 1.58583e13i −0.353610 0.612470i
\(173\) 3.84029e12 + 2.21719e12i 0.143248 + 0.0827041i 0.569911 0.821706i \(-0.306978\pi\)
−0.426663 + 0.904411i \(0.640311\pi\)
\(174\) 5.51842e12i 0.198847i
\(175\) −2.46701e12 + 1.96690e13i −0.0858899 + 0.684784i
\(176\) −2.16361e12 −0.0727952
\(177\) 9.12456e11 1.58042e12i 0.0296738 0.0513964i
\(178\) 2.12470e12 1.22669e12i 0.0668001 0.0385670i
\(179\) −2.21016e13 3.82811e13i −0.671902 1.16377i −0.977364 0.211564i \(-0.932144\pi\)
0.305462 0.952204i \(-0.401189\pi\)
\(180\) 3.24778e12 + 1.87511e12i 0.0954887 + 0.0551305i
\(181\) 1.41993e12i 0.0403828i 0.999796 + 0.0201914i \(0.00642756\pi\)
−0.999796 + 0.0201914i \(0.993572\pi\)
\(182\) 5.68139e12 + 1.34819e13i 0.156324 + 0.370957i
\(183\) 7.24471e12 0.192892
\(184\) 4.82214e12 8.35219e12i 0.124260 0.215225i
\(185\) −2.81344e13 + 1.62434e13i −0.701789 + 0.405178i
\(186\) 1.57470e13 + 2.72746e13i 0.380295 + 0.658690i
\(187\) 2.84013e12 + 1.63975e12i 0.0664185 + 0.0383467i
\(188\) 4.23688e13i 0.959621i
\(189\) −1.96388e13 + 2.59211e13i −0.430869 + 0.568698i
\(190\) 3.05301e13 0.648944
\(191\) −2.94428e13 + 5.09965e13i −0.606428 + 1.05036i 0.385396 + 0.922751i \(0.374065\pi\)
−0.991824 + 0.127613i \(0.959268\pi\)
\(192\) −6.40791e12 + 3.69961e12i −0.127911 + 0.0738496i
\(193\) −2.84219e13 4.92282e13i −0.549933 0.952512i −0.998279 0.0586517i \(-0.981320\pi\)
0.448345 0.893860i \(-0.352013\pi\)
\(194\) −1.34325e13 7.75529e12i −0.251970 0.145475i
\(195\) 2.05867e13i 0.374437i
\(196\) 1.97973e13 2.02884e13i 0.349196 0.357858i
\(197\) −5.01766e13 −0.858428 −0.429214 0.903203i \(-0.641209\pi\)
−0.429214 + 0.903203i \(0.641209\pi\)
\(198\) −2.45745e12 + 4.25643e12i −0.0407844 + 0.0706406i
\(199\) −2.71256e13 + 1.56610e13i −0.436778 + 0.252174i −0.702230 0.711950i \(-0.747812\pi\)
0.265452 + 0.964124i \(0.414479\pi\)
\(200\) −7.80815e12 1.35241e13i −0.122002 0.211314i
\(201\) −4.88226e13 2.81878e13i −0.740363 0.427449i
\(202\) 7.71244e13i 1.13523i
\(203\) 1.32751e13 + 1.00577e13i 0.189697 + 0.143722i
\(204\) 1.12154e13 0.155609
\(205\) −2.06668e13 + 3.57960e13i −0.278452 + 0.482294i
\(206\) −5.13777e13 + 2.96629e13i −0.672312 + 0.388160i
\(207\) −1.09541e13 1.89730e13i −0.139237 0.241165i
\(208\) −9.98127e12 5.76269e12i −0.123255 0.0711615i
\(209\) 4.00117e13i 0.480075i
\(210\) 3.67577e13 1.54900e13i 0.428581 0.180608i
\(211\) 1.26653e14 1.43523 0.717616 0.696438i \(-0.245233\pi\)
0.717616 + 0.696438i \(0.245233\pi\)
\(212\) −2.40171e13 + 4.15988e13i −0.264549 + 0.458211i
\(213\) 1.84092e14 1.06286e14i 1.97133 1.13815i
\(214\) 4.60280e13 + 7.97228e13i 0.479225 + 0.830042i
\(215\) −6.73475e13 3.88831e13i −0.681853 0.393668i
\(216\) 2.56191e13i 0.252256i
\(217\) 9.43117e13 + 1.18292e13i 0.903249 + 0.113291i
\(218\) 9.93172e13 0.925306
\(219\) −4.41227e13 + 7.64227e13i −0.399942 + 0.692720i
\(220\) −7.95748e12 + 4.59425e12i −0.0701842 + 0.0405209i
\(221\) 8.73482e12 + 1.51292e13i 0.0749723 + 0.129856i
\(222\) −1.26096e14 7.28017e13i −1.05338 0.608168i
\(223\) 8.65375e13i 0.703680i 0.936060 + 0.351840i \(0.114444\pi\)
−0.936060 + 0.351840i \(0.885556\pi\)
\(224\) −2.77915e12 + 2.21576e13i −0.0220001 + 0.175402i
\(225\) −3.54743e13 −0.273413
\(226\) 5.28087e12 9.14673e12i 0.0396328 0.0686460i
\(227\) 1.42952e14 8.25335e13i 1.04481 0.603220i 0.123616 0.992330i \(-0.460551\pi\)
0.921191 + 0.389111i \(0.127218\pi\)
\(228\) 6.84169e13 + 1.18502e14i 0.487029 + 0.843558i
\(229\) −8.41450e13 4.85811e13i −0.583466 0.336864i 0.179044 0.983841i \(-0.442700\pi\)
−0.762510 + 0.646977i \(0.776033\pi\)
\(230\) 4.09577e13i 0.276674i
\(231\) 2.03006e13 + 4.81734e13i 0.133610 + 0.317055i
\(232\) −1.31205e13 −0.0841436
\(233\) −2.12110e13 + 3.67385e13i −0.132564 + 0.229607i −0.924664 0.380784i \(-0.875654\pi\)
0.792100 + 0.610391i \(0.208988\pi\)
\(234\) −2.26737e13 + 1.30906e13i −0.138110 + 0.0797381i
\(235\) −8.99669e13 1.55827e14i −0.534165 0.925201i
\(236\) 3.75757e12 + 2.16943e12i 0.0217488 + 0.0125567i
\(237\) 2.38686e14i 1.34690i
\(238\) 2.04409e13 2.69797e13i 0.112471 0.148448i
\(239\) −5.49165e13 −0.294656 −0.147328 0.989088i \(-0.547067\pi\)
−0.147328 + 0.989088i \(0.547067\pi\)
\(240\) −1.57116e13 + 2.72134e13i −0.0822156 + 0.142402i
\(241\) 2.63730e14 1.52264e14i 1.34604 0.777134i 0.358351 0.933587i \(-0.383339\pi\)
0.987685 + 0.156453i \(0.0500059\pi\)
\(242\) 6.49935e13 + 1.12572e14i 0.323577 + 0.560452i
\(243\) −1.33867e14 7.72879e13i −0.650181 0.375382i
\(244\) 1.72248e13i 0.0816237i
\(245\) 2.97311e13 1.16656e14i 0.137472 0.539399i
\(246\) −1.85255e14 −0.835908
\(247\) −1.06570e14 + 1.84584e14i −0.469301 + 0.812853i
\(248\) −6.48474e13 + 3.74397e13i −0.278729 + 0.160924i
\(249\) −3.52422e13 6.10413e13i −0.147866 0.256111i
\(250\) −1.40656e14 8.12075e13i −0.576125 0.332626i
\(251\) 3.75080e14i 1.49996i −0.661458 0.749982i \(-0.730062\pi\)
0.661458 0.749982i \(-0.269938\pi\)
\(252\) 4.04337e13 + 3.06343e13i 0.157885 + 0.119620i
\(253\) 5.36777e13 0.204678
\(254\) −1.23029e14 + 2.13092e14i −0.458147 + 0.793534i
\(255\) 4.12488e13 2.38150e13i 0.150027 0.0866183i
\(256\) −8.79609e12 1.52353e13i −0.0312500 0.0541266i
\(257\) 2.15923e14 + 1.24663e14i 0.749378 + 0.432653i 0.825469 0.564447i \(-0.190911\pi\)
−0.0760913 + 0.997101i \(0.524244\pi\)
\(258\) 3.48542e14i 1.18178i
\(259\) −4.04951e14 + 1.70650e14i −1.34154 + 0.565336i
\(260\) −4.89464e13 −0.158446
\(261\) −1.49023e13 + 2.58116e13i −0.0471424 + 0.0816530i
\(262\) −3.25087e14 + 1.87689e14i −1.00506 + 0.580271i
\(263\) −2.94573e14 5.10216e14i −0.890141 1.54177i −0.839705 0.543042i \(-0.817272\pi\)
−0.0504357 0.998727i \(-0.516061\pi\)
\(264\) −3.56649e13 2.05911e13i −0.105346 0.0608214i
\(265\) 2.03994e14i 0.589035i
\(266\) 4.09762e14 + 5.13949e13i 1.15676 + 0.145087i
\(267\) 4.66979e13 0.128893
\(268\) 6.70185e13 1.16079e14i 0.180878 0.313290i
\(269\) 2.77909e14 1.60451e14i 0.733482 0.423476i −0.0862129 0.996277i \(-0.527477\pi\)
0.819694 + 0.572801i \(0.194143\pi\)
\(270\) −5.44002e13 9.42239e13i −0.140416 0.243208i
\(271\) 8.39461e13 + 4.84663e13i 0.211926 + 0.122356i 0.602206 0.798340i \(-0.294288\pi\)
−0.390280 + 0.920696i \(0.627622\pi\)
\(272\) 2.66655e13i 0.0658469i
\(273\) −3.46560e13 + 2.76306e14i −0.0837148 + 0.667442i
\(274\) 1.30253e14 0.307811
\(275\) 4.34583e13 7.52719e13i 0.100479 0.174035i
\(276\) 1.58976e14 9.17848e13i 0.359647 0.207643i
\(277\) 2.88703e14 + 5.00048e14i 0.639106 + 1.10696i 0.985629 + 0.168923i \(0.0540288\pi\)
−0.346523 + 0.938041i \(0.612638\pi\)
\(278\) 2.89835e14 + 1.67336e14i 0.627888 + 0.362511i
\(279\) 1.70097e14i 0.360639i
\(280\) 3.68286e13 + 8.73943e13i 0.0764254 + 0.181357i
\(281\) 5.01179e14 1.01802 0.509009 0.860761i \(-0.330012\pi\)
0.509009 + 0.860761i \(0.330012\pi\)
\(282\) 4.03225e14 6.98406e14i 0.801776 1.38872i
\(283\) −7.28775e14 + 4.20758e14i −1.41865 + 0.819057i −0.996180 0.0873212i \(-0.972169\pi\)
−0.422468 + 0.906378i \(0.638836\pi\)
\(284\) 2.52702e14 + 4.37693e14i 0.481614 + 0.834180i
\(285\) 5.03257e14 + 2.90556e14i 0.939120 + 0.542201i
\(286\) 6.41474e13i 0.117215i
\(287\) −3.37641e14 + 4.45647e14i −0.604176 + 0.797444i
\(288\) −3.99628e13 −0.0700327
\(289\) −2.71102e14 + 4.69562e14i −0.465313 + 0.805947i
\(290\) −4.82553e13 + 2.78602e13i −0.0811255 + 0.0468378i
\(291\) −1.47614e14 2.55676e14i −0.243092 0.421048i
\(292\) −1.81701e14 1.04905e14i −0.293129 0.169238i
\(293\) 9.39106e14i 1.48426i −0.670258 0.742128i \(-0.733817\pi\)
0.670258 0.742128i \(-0.266183\pi\)
\(294\) 5.19422e14 1.46021e14i 0.804334 0.226117i
\(295\) 1.84265e13 0.0279583
\(296\) 1.73091e14 2.99803e14i 0.257351 0.445744i
\(297\) 1.23486e14 7.12949e13i 0.179920 0.103877i
\(298\) −4.42649e13 7.66691e13i −0.0632066 0.109477i
\(299\) 2.47629e14 + 1.42968e14i 0.346556 + 0.200084i
\(300\) 2.97241e14i 0.407738i
\(301\) −8.38452e14 6.35245e14i −1.12740 0.854166i
\(302\) −6.52065e14 −0.859506
\(303\) 7.33994e14 1.27131e15i 0.948499 1.64285i
\(304\) −2.81746e14 + 1.62666e14i −0.356958 + 0.206090i
\(305\) 3.65756e13 + 6.33507e13i 0.0454351 + 0.0786960i
\(306\) 5.24584e13 + 3.02869e13i 0.0638979 + 0.0368915i
\(307\) 6.66830e14i 0.796498i 0.917277 + 0.398249i \(0.130382\pi\)
−0.917277 + 0.398249i \(0.869618\pi\)
\(308\) −1.14536e14 + 4.82663e13i −0.134164 + 0.0565379i
\(309\) −1.12921e15 −1.29725
\(310\) −1.59000e14 + 2.75397e14i −0.179154 + 0.310305i
\(311\) −2.70814e14 + 1.56355e14i −0.299302 + 0.172802i −0.642129 0.766596i \(-0.721949\pi\)
0.342827 + 0.939398i \(0.388615\pi\)
\(312\) −1.09687e14 1.89984e14i −0.118913 0.205963i
\(313\) −2.09440e14 1.20920e14i −0.222738 0.128598i 0.384479 0.923134i \(-0.374381\pi\)
−0.607217 + 0.794536i \(0.707714\pi\)
\(314\) 8.34408e14i 0.870564i
\(315\) 2.13759e14 + 2.68110e13i 0.218807 + 0.0274442i
\(316\) −5.67494e14 −0.569952
\(317\) 6.62099e13 1.14679e14i 0.0652480 0.113013i −0.831556 0.555441i \(-0.812549\pi\)
0.896804 + 0.442428i \(0.145883\pi\)
\(318\) −7.91794e14 + 4.57142e14i −0.765684 + 0.442068i
\(319\) −3.65126e13 6.32417e13i −0.0346497 0.0600150i
\(320\) −6.47018e13 3.73556e13i −0.0602582 0.0347901i
\(321\) 1.75220e15i 1.60160i
\(322\) 6.89488e13 5.49716e14i 0.0618574 0.493178i
\(323\) 4.93125e14 0.434252
\(324\) 3.58392e14 6.20753e14i 0.309805 0.536597i
\(325\) 4.00968e14 2.31499e14i 0.340259 0.196448i
\(326\) 6.27170e14 + 1.08629e15i 0.522492 + 0.904983i
\(327\) 1.63714e15 + 9.45203e14i 1.33906 + 0.773106i
\(328\) 4.40457e14i 0.353720i
\(329\) −9.45173e14 2.24289e15i −0.745309 1.76862i
\(330\) −1.74894e14 −0.135423
\(331\) −4.14852e14 + 7.18544e14i −0.315446 + 0.546368i −0.979532 0.201288i \(-0.935487\pi\)
0.664086 + 0.747656i \(0.268821\pi\)
\(332\) 1.45130e14 8.37910e13i 0.108375 0.0625704i
\(333\) −3.93198e14 6.81039e14i −0.288367 0.499467i
\(334\) −4.70066e13 2.71393e13i −0.0338595 0.0195488i
\(335\) 5.69234e14i 0.402737i
\(336\) −2.56686e14 + 3.38796e14i −0.178388 + 0.235452i
\(337\) −2.75664e14 −0.188192 −0.0940958 0.995563i \(-0.529996\pi\)
−0.0940958 + 0.995563i \(0.529996\pi\)
\(338\) −3.56321e14 + 6.17167e14i −0.238969 + 0.413907i
\(339\) 1.74099e14 1.00516e14i 0.114709 0.0662274i
\(340\) 5.66220e13 + 9.80721e13i 0.0366532 + 0.0634851i
\(341\) −3.60925e14 2.08380e14i −0.229557 0.132535i
\(342\) 7.39033e14i 0.461856i
\(343\) 5.95418e14 1.51565e15i 0.365643 0.930755i
\(344\) 8.28685e14 0.500080
\(345\) 3.89795e14 6.75146e14i 0.231165 0.400390i
\(346\) −1.73792e14 + 1.00339e14i −0.101291 + 0.0584806i
\(347\) −6.45392e12 1.11785e13i −0.00369698 0.00640335i 0.864171 0.503198i \(-0.167843\pi\)
−0.867868 + 0.496795i \(0.834510\pi\)
\(348\) −2.16277e14 1.24868e14i −0.121768 0.0703031i
\(349\) 7.51191e14i 0.415717i 0.978159 + 0.207858i \(0.0666493\pi\)
−0.978159 + 0.207858i \(0.933351\pi\)
\(350\) −7.15042e14 5.41745e14i −0.388976 0.294704i
\(351\) 7.59564e14 0.406183
\(352\) 4.89569e13 8.47958e13i 0.0257370 0.0445778i
\(353\) 9.28243e14 5.35921e14i 0.479748 0.276983i −0.240563 0.970633i \(-0.577332\pi\)
0.720312 + 0.693651i \(0.243999\pi\)
\(354\) 4.12931e13 + 7.15217e13i 0.0209825 + 0.0363428i
\(355\) 1.85881e15 + 1.07319e15i 0.928679 + 0.536173i
\(356\) 1.11028e14i 0.0545420i
\(357\) 5.93714e14 2.50196e14i 0.286792 0.120857i
\(358\) 2.00041e15 0.950213
\(359\) 9.15290e14 1.58533e15i 0.427555 0.740547i −0.569100 0.822268i \(-0.692708\pi\)
0.996655 + 0.0817210i \(0.0260416\pi\)
\(360\) −1.46978e14 + 8.48578e13i −0.0675207 + 0.0389831i
\(361\) 1.90154e15 + 3.29356e15i 0.859135 + 1.48806i
\(362\) −5.56498e13 3.21294e13i −0.0247293 0.0142775i
\(363\) 2.47418e15i 1.08141i
\(364\) −6.56937e14 8.23971e13i −0.282433 0.0354245i
\(365\) −8.91029e14 −0.376821
\(366\) −1.63929e14 + 2.83933e14i −0.0681976 + 0.118122i
\(367\) −1.74439e15 + 1.00713e15i −0.713917 + 0.412180i −0.812510 0.582948i \(-0.801899\pi\)
0.0985926 + 0.995128i \(0.468566\pi\)
\(368\) 2.18225e14 + 3.77977e14i 0.0878654 + 0.152187i
\(369\) −8.66502e14 5.00275e14i −0.343251 0.198176i
\(370\) 1.47018e15i 0.573009i
\(371\) −3.43406e14 + 2.73791e15i −0.131693 + 1.04997i
\(372\) −1.42526e15 −0.537818
\(373\) 9.67420e14 1.67562e15i 0.359221 0.622189i −0.628610 0.777721i \(-0.716376\pi\)
0.987831 + 0.155531i \(0.0497090\pi\)
\(374\) −1.28530e14 + 7.42067e13i −0.0469650 + 0.0271152i
\(375\) −1.54571e15 2.67724e15i −0.555827 0.962720i
\(376\) 1.66051e15 + 9.58698e14i 0.587645 + 0.339277i
\(377\) 3.89000e14i 0.135488i
\(378\) −5.71517e14 1.35621e15i −0.195920 0.464917i
\(379\) 2.16588e15 0.730802 0.365401 0.930850i \(-0.380932\pi\)
0.365401 + 0.930850i \(0.380932\pi\)
\(380\) −6.90818e14 + 1.19653e15i −0.229436 + 0.397395i
\(381\) −4.05600e15 + 2.34174e15i −1.32602 + 0.765575i
\(382\) −1.33243e15 2.30784e15i −0.428809 0.742720i
\(383\) −4.61537e15 2.66469e15i −1.46222 0.844215i −0.463110 0.886301i \(-0.653266\pi\)
−0.999114 + 0.0420855i \(0.986600\pi\)
\(384\) 3.34850e14i 0.104439i
\(385\) −3.18758e14 + 4.20725e14i −0.0978807 + 0.129191i
\(386\) 2.57246e15 0.777723
\(387\) 9.41230e14 1.63026e15i 0.280175 0.485278i
\(388\) 6.07888e14 3.50964e14i 0.178169 0.102866i
\(389\) −1.08260e15 1.87512e15i −0.312444 0.541168i 0.666447 0.745552i \(-0.267814\pi\)
−0.978891 + 0.204384i \(0.934481\pi\)
\(390\) −8.06831e14 4.65824e14i −0.229295 0.132384i
\(391\) 6.61552e14i 0.185141i
\(392\) 3.47177e14 + 1.23496e15i 0.0956829 + 0.340360i
\(393\) −7.14496e15 −1.93930
\(394\) 1.13537e15 1.96651e15i 0.303500 0.525678i
\(395\) −2.08717e15 + 1.20503e15i −0.549509 + 0.317259i
\(396\) −1.11212e14 1.92624e14i −0.0288389 0.0499504i
\(397\) −7.75072e14 4.47488e14i −0.197970 0.114298i 0.397738 0.917499i \(-0.369795\pi\)
−0.595708 + 0.803201i \(0.703128\pi\)
\(398\) 1.41747e15i 0.356628i
\(399\) 6.26537e15 + 4.74690e15i 1.55278 + 1.17645i
\(400\) 7.06713e14 0.172537
\(401\) −3.82791e15 + 6.63014e15i −0.920653 + 1.59462i −0.122245 + 0.992500i \(0.539009\pi\)
−0.798408 + 0.602117i \(0.794324\pi\)
\(402\) 2.20946e15 1.27563e15i 0.523516 0.302252i
\(403\) −1.11002e15 1.92262e15i −0.259121 0.448810i
\(404\) 3.02265e15 + 1.74513e15i 0.695183 + 0.401364i
\(405\) 3.04406e15i 0.689801i
\(406\) −6.94562e14 + 2.92694e14i −0.155080 + 0.0653518i
\(407\) 1.92677e15 0.423900
\(408\) −2.53776e14 + 4.39552e14i −0.0550160 + 0.0952905i
\(409\) 3.13235e15 1.80846e15i 0.669160 0.386340i −0.126598 0.991954i \(-0.540406\pi\)
0.795758 + 0.605614i \(0.207073\pi\)
\(410\) −9.35275e14 1.61994e15i −0.196896 0.341033i
\(411\) 2.14708e15 + 1.23962e15i 0.445449 + 0.257180i
\(412\) 2.68478e15i 0.548941i
\(413\) 2.47312e14 + 3.10194e13i 0.0498362 + 0.00625076i
\(414\) 9.91450e14 0.196910
\(415\) 3.55847e14 6.16345e14i 0.0696586 0.120652i
\(416\) 4.51701e14 2.60789e14i 0.0871547 0.0503188i
\(417\) 3.18509e15 + 5.51673e15i 0.605766 + 1.04922i
\(418\) −1.56813e15 9.05361e14i −0.293985 0.169732i
\(419\) 3.64888e15i 0.674335i −0.941445 0.337168i \(-0.890531\pi\)
0.941445 0.337168i \(-0.109469\pi\)
\(420\) −2.24651e14 + 1.79110e15i −0.0409273 + 0.326306i
\(421\) 3.29475e15 0.591739 0.295870 0.955228i \(-0.404391\pi\)
0.295870 + 0.955228i \(0.404391\pi\)
\(422\) −2.86584e15 + 4.96378e15i −0.507431 + 0.878897i
\(423\) 3.77206e15 2.17780e15i 0.658470 0.380168i
\(424\) −1.08689e15 1.88255e15i −0.187064 0.324004i
\(425\) −9.27691e14 5.35602e14i −0.157423 0.0908885i
\(426\) 9.61989e15i 1.60958i
\(427\) 3.84255e14 + 9.11837e14i 0.0633947 + 0.150435i
\(428\) −4.16598e15 −0.677727
\(429\) 6.10492e14 1.05740e15i 0.0979346 0.169628i
\(430\) 3.04780e15 1.75965e15i 0.482143 0.278365i
\(431\) 4.72907e15 + 8.19099e15i 0.737755 + 1.27783i 0.953504 + 0.301381i \(0.0974475\pi\)
−0.215749 + 0.976449i \(0.569219\pi\)
\(432\) 1.00406e15 + 5.79695e14i 0.154475 + 0.0891860i
\(433\) 9.38135e15i 1.42344i −0.702465 0.711718i \(-0.747917\pi\)
0.702465 0.711718i \(-0.252083\pi\)
\(434\) −2.59764e15 + 3.42859e15i −0.388723 + 0.513070i
\(435\) −1.06059e15 −0.156535
\(436\) −2.24729e15 + 3.89242e15i −0.327145 + 0.566632i
\(437\) 6.98994e15 4.03564e15i 1.00366 0.579461i
\(438\) −1.99676e15 3.45850e15i −0.282802 0.489827i
\(439\) −3.10191e14 1.79089e14i −0.0433353 0.0250196i 0.478176 0.878264i \(-0.341298\pi\)
−0.521511 + 0.853244i \(0.674631\pi\)
\(440\) 4.15824e14i 0.0573052i
\(441\) 2.82385e15 + 7.19692e14i 0.383893 + 0.0978396i
\(442\) −7.90586e14 −0.106027
\(443\) −1.44826e15 + 2.50846e15i −0.191613 + 0.331883i −0.945785 0.324794i \(-0.894705\pi\)
0.754172 + 0.656677i \(0.228038\pi\)
\(444\) 5.70646e15 3.29463e15i 0.744851 0.430040i
\(445\) 2.35758e14 + 4.08345e14i 0.0303604 + 0.0525857i
\(446\) −3.39156e15 1.95812e15i −0.430914 0.248788i
\(447\) 1.68508e15i 0.211240i
\(448\) −8.05514e14 6.10290e14i −0.0996334 0.0754863i
\(449\) 5.51822e15 0.673474 0.336737 0.941599i \(-0.390677\pi\)
0.336737 + 0.941599i \(0.390677\pi\)
\(450\) 8.02692e14 1.39030e15i 0.0966661 0.167431i
\(451\) 2.12304e15 1.22574e15i 0.252289 0.145659i
\(452\) 2.38985e14 + 4.13934e14i 0.0280246 + 0.0485401i
\(453\) −1.07486e16 6.20571e15i −1.24384 0.718129i
\(454\) 7.47008e15i 0.853081i
\(455\) −2.59109e15 + 1.09191e15i −0.292021 + 0.123060i
\(456\) −6.19239e15 −0.688763
\(457\) −3.58011e15 + 6.20094e15i −0.393006 + 0.680707i −0.992845 0.119414i \(-0.961898\pi\)
0.599838 + 0.800121i \(0.295232\pi\)
\(458\) 3.80797e15 2.19853e15i 0.412573 0.238199i
\(459\) −8.78676e14 1.52191e15i −0.0939620 0.162747i
\(460\) 1.60521e15 + 9.26768e14i 0.169428 + 0.0978191i
\(461\) 7.56470e15i 0.788108i −0.919087 0.394054i \(-0.871072\pi\)
0.919087 0.394054i \(-0.128928\pi\)
\(462\) −2.34735e15 2.94420e14i −0.241394 0.0302771i
\(463\) −4.69921e15 −0.477022 −0.238511 0.971140i \(-0.576659\pi\)
−0.238511 + 0.971140i \(0.576659\pi\)
\(464\) 2.96882e14 5.14215e14i 0.0297492 0.0515272i
\(465\) −5.24191e15 + 3.02642e15i −0.518527 + 0.299372i
\(466\) −9.59898e14 1.66259e15i −0.0937367 0.162357i
\(467\) −1.24885e16 7.21026e15i −1.20395 0.695103i −0.242522 0.970146i \(-0.577975\pi\)
−0.961432 + 0.275043i \(0.911308\pi\)
\(468\) 1.18483e15i 0.112767i
\(469\) 9.58256e14 7.64000e15i 0.0900419 0.717888i
\(470\) 8.14287e15 0.755423
\(471\) −7.94108e15 + 1.37543e16i −0.727368 + 1.25984i
\(472\) −1.70048e14 + 9.81773e13i −0.0153787 + 0.00887890i
\(473\) 2.30613e15 + 3.99433e15i 0.205929 + 0.356679i
\(474\) −9.35454e15 5.40085e15i −0.824807 0.476203i
\(475\) 1.30693e16i 1.13786i
\(476\) 5.94859e14 + 1.41160e15i 0.0511413 + 0.121358i
\(477\) −4.93800e15 −0.419219
\(478\) 1.24262e15 2.15228e15i 0.104177 0.180439i
\(479\) −8.75512e15 + 5.05477e15i −0.724851 + 0.418493i −0.816536 0.577295i \(-0.804108\pi\)
0.0916844 + 0.995788i \(0.470775\pi\)
\(480\) −7.11028e14 1.23154e15i −0.0581352 0.100693i
\(481\) 8.88866e15 + 5.13187e15i 0.717738 + 0.414386i
\(482\) 1.37814e16i 1.09903i
\(483\) 6.36821e15 8.40532e15i 0.501574 0.662020i
\(484\) −5.88254e15 −0.457607
\(485\) 1.49049e15 2.58160e15i 0.114519 0.198353i
\(486\) 6.05811e15 3.49765e15i 0.459748 0.265435i
\(487\) 3.21346e15 + 5.56587e15i 0.240879 + 0.417215i 0.960965 0.276670i \(-0.0892310\pi\)
−0.720086 + 0.693885i \(0.755898\pi\)
\(488\) −6.75073e14 3.89753e14i −0.0499841 0.0288583i
\(489\) 2.38752e16i 1.74620i
\(490\) 3.89922e15 + 3.80484e15i 0.281709 + 0.274891i
\(491\) 1.05122e16 0.750244 0.375122 0.926975i \(-0.377601\pi\)
0.375122 + 0.926975i \(0.377601\pi\)
\(492\) 4.19183e15 7.26047e15i 0.295538 0.511887i
\(493\) −7.79424e14 + 4.50000e14i −0.0542865 + 0.0313423i
\(494\) −4.82279e15 8.35331e15i −0.331846 0.574774i
\(495\) −8.18043e14 4.72298e14i −0.0556090 0.0321059i
\(496\) 3.38865e15i 0.227581i
\(497\) 2.31416e16 + 1.75330e16i 1.53552 + 1.16337i
\(498\) 3.18976e15 0.209113
\(499\) 1.95068e14 3.37868e14i 0.0126352 0.0218849i −0.859639 0.510903i \(-0.829311\pi\)
0.872274 + 0.489018i \(0.162645\pi\)
\(500\) 6.36534e15 3.67503e15i 0.407382 0.235202i
\(501\) −5.16570e14 8.94725e14i −0.0326665 0.0565800i
\(502\) 1.47001e16 + 8.48708e15i 0.918537 + 0.530318i
\(503\) 1.10468e16i 0.682070i −0.940051 0.341035i \(-0.889223\pi\)
0.940051 0.341035i \(-0.110777\pi\)
\(504\) −2.11552e15 + 8.91498e14i −0.129073 + 0.0543923i
\(505\) 1.48225e16 0.893664
\(506\) −1.21459e15 + 2.10373e15i −0.0723646 + 0.125339i
\(507\) −1.17472e16 + 6.78224e15i −0.691649 + 0.399324i
\(508\) −5.56765e15 9.64345e15i −0.323959 0.561113i
\(509\) 1.97600e15 + 1.14085e15i 0.113627 + 0.0656024i 0.555736 0.831359i \(-0.312436\pi\)
−0.442110 + 0.896961i \(0.645770\pi\)
\(510\) 2.15549e15i 0.122497i
\(511\) −1.19590e16 1.49997e15i −0.671691 0.0842476i
\(512\) 7.96131e14 0.0441942
\(513\) 1.07203e16 1.85681e16i 0.588170 1.01874i
\(514\) −9.77157e15 + 5.64162e15i −0.529890 + 0.305932i
\(515\) −5.70091e15 9.87427e15i −0.305563 0.529251i
\(516\) 1.36600e16 + 7.88661e15i 0.723691 + 0.417823i
\(517\) 1.06718e16i 0.558846i
\(518\) 2.47493e15 1.97321e16i 0.128110 1.02140i
\(519\) −3.81970e15 −0.195445
\(520\) 1.10753e15 1.91830e15i 0.0560191 0.0970279i
\(521\) −2.36143e16 + 1.36337e16i −1.18073 + 0.681693i −0.956183 0.292771i \(-0.905423\pi\)
−0.224544 + 0.974464i \(0.572089\pi\)
\(522\) −6.74403e14 1.16810e15i −0.0333347 0.0577374i
\(523\) −8.67291e15 5.00731e15i −0.423794 0.244678i 0.272905 0.962041i \(-0.412015\pi\)
−0.696699 + 0.717363i \(0.745349\pi\)
\(524\) 1.69877e16i 0.820627i
\(525\) −6.63093e15 1.57352e16i −0.316678 0.751477i
\(526\) 2.66617e16 1.25885
\(527\) −2.56818e15 + 4.44822e15i −0.119884 + 0.207646i
\(528\) 1.61401e15 9.31847e14i 0.0744907 0.0430072i
\(529\) 5.54329e15 + 9.60126e15i 0.252949 + 0.438121i
\(530\) −7.99488e15 4.61585e15i −0.360709 0.208255i
\(531\) 4.46043e14i 0.0198980i
\(532\) −1.12861e16 + 1.48964e16i −0.497823 + 0.657069i
\(533\) 1.30588e16 0.569561
\(534\) −1.05665e15 + 1.83018e15i −0.0455706 + 0.0789306i
\(535\) −1.53219e16 + 8.84612e15i −0.653418 + 0.377251i
\(536\) 3.03291e15 + 5.25316e15i 0.127900 + 0.221530i
\(537\) 3.29747e16 + 1.90379e16i 1.37510 + 0.793915i
\(538\) 1.45224e16i 0.598885i
\(539\) −4.98649e15 + 5.11018e15i −0.203358 + 0.208403i
\(540\) 4.92374e15 0.198579
\(541\) 2.03051e16 3.51694e16i 0.809880 1.40275i −0.103067 0.994674i \(-0.532866\pi\)
0.912947 0.408079i \(-0.133801\pi\)
\(542\) −3.79897e15 + 2.19334e15i −0.149855 + 0.0865186i
\(543\) −6.11553e14 1.05924e15i −0.0238580 0.0413233i
\(544\) −1.04507e15 6.03370e14i −0.0403228 0.0232804i
\(545\) 1.90878e16i 0.728411i
\(546\) −1.00447e16 7.61031e15i −0.379126 0.287241i
\(547\) −3.98211e16 −1.48658 −0.743291 0.668968i \(-0.766736\pi\)
−0.743291 + 0.668968i \(0.766736\pi\)
\(548\) −2.94729e15 + 5.10485e15i −0.108828 + 0.188495i
\(549\) −1.53351e15 + 8.85372e14i −0.0560083 + 0.0323364i
\(550\) 1.96670e15 + 3.40642e15i 0.0710495 + 0.123061i
\(551\) −9.50938e15 5.49025e15i −0.339815 0.196192i
\(552\) 8.30741e15i 0.293651i
\(553\) −3.00416e16 + 1.26598e16i −1.05044 + 0.442665i
\(554\) −2.61304e16 −0.903832
\(555\) 1.39918e16 2.42344e16i 0.478756 0.829230i
\(556\) −1.31164e16 + 7.57278e15i −0.443984 + 0.256334i
\(557\) −1.37991e16 2.39007e16i −0.462081 0.800348i 0.536983 0.843593i \(-0.319564\pi\)
−0.999065 + 0.0432447i \(0.986230\pi\)
\(558\) −6.66643e15 3.84887e15i −0.220845 0.127505i
\(559\) 2.45691e16i 0.805228i
\(560\) −4.25848e15 5.34125e14i −0.138079 0.0173187i
\(561\) −2.82491e15 −0.0906206
\(562\) −1.13404e16 + 1.96421e16i −0.359924 + 0.623406i
\(563\) 5.01324e16 2.89439e16i 1.57423 0.908882i 0.578587 0.815620i \(-0.303604\pi\)
0.995642 0.0932613i \(-0.0297292\pi\)
\(564\) 1.82479e16 + 3.16063e16i 0.566941 + 0.981971i
\(565\) 1.75791e15 + 1.01493e15i 0.0540389 + 0.0311993i
\(566\) 3.80827e16i 1.15832i
\(567\) 5.12442e15 4.08561e16i 0.154222 1.22958i
\(568\) −2.28720e16 −0.681105
\(569\) 2.77987e15 4.81487e15i 0.0819125 0.141877i −0.822159 0.569258i \(-0.807231\pi\)
0.904071 + 0.427381i \(0.140564\pi\)
\(570\) −2.27748e16 + 1.31491e16i −0.664058 + 0.383394i
\(571\) 1.02171e16 + 1.76965e16i 0.294788 + 0.510588i 0.974936 0.222487i \(-0.0714176\pi\)
−0.680147 + 0.733075i \(0.738084\pi\)
\(572\) 2.51405e15 + 1.45149e15i 0.0717792 + 0.0414417i
\(573\) 5.07231e16i 1.43310i
\(574\) −9.82580e15 2.33166e16i −0.274724 0.651920i
\(575\) −1.75331e16 −0.485122
\(576\) 9.04254e14 1.56621e15i 0.0247603 0.0428861i
\(577\) 3.56461e14 2.05803e14i 0.00965956 0.00557695i −0.495162 0.868800i \(-0.664891\pi\)
0.504822 + 0.863223i \(0.331558\pi\)
\(578\) −1.22687e16 2.12500e16i −0.329026 0.569890i
\(579\) 4.24043e16 + 2.44822e16i 1.12548 + 0.649798i
\(580\) 2.52162e15i 0.0662387i
\(581\) 5.81358e15 7.67327e15i 0.151143 0.199491i
\(582\) 1.33605e16 0.343784
\(583\) 6.04936e15 1.04778e16i 0.154063 0.266845i
\(584\) 8.22283e15 4.74746e15i 0.207274 0.119670i
\(585\) −2.51589e15 4.35765e15i −0.0627706 0.108722i
\(586\) 3.68053e16 + 2.12495e16i 0.908918 + 0.524764i
\(587\) 4.40809e16i 1.07751i 0.842462 + 0.538756i \(0.181106\pi\)
−0.842462 + 0.538756i \(0.818894\pi\)
\(588\) −6.03034e15 + 2.36612e16i −0.145907 + 0.572496i
\(589\) −6.26664e16 −1.50087
\(590\) −4.16943e14 + 7.22167e14i −0.00988474 + 0.0171209i
\(591\) 3.74307e16 2.16106e16i 0.878421 0.507157i
\(592\) 7.83322e15 + 1.35675e16i 0.181974 + 0.315189i
\(593\) 3.84620e16 + 2.22061e16i 0.884513 + 0.510674i 0.872144 0.489250i \(-0.162729\pi\)
0.0123689 + 0.999924i \(0.496063\pi\)
\(594\) 6.45288e15i 0.146904i
\(595\) 5.18523e15 + 3.92854e15i 0.116860 + 0.0885380i
\(596\) 4.00640e15 0.0893876
\(597\) 1.34901e16 2.33655e16i 0.297967 0.516095i
\(598\) −1.12064e16 + 6.47001e15i −0.245052 + 0.141481i
\(599\) 4.03286e16 + 6.98511e16i 0.873075 + 1.51221i 0.858799 + 0.512313i \(0.171211\pi\)
0.0142767 + 0.999898i \(0.495455\pi\)
\(600\) 1.16494e16 + 6.72580e15i 0.249688 + 0.144157i
\(601\) 5.23496e16i 1.11088i 0.831557 + 0.555439i \(0.187450\pi\)
−0.831557 + 0.555439i \(0.812550\pi\)
\(602\) 4.38684e16 1.84865e16i 0.921665 0.388397i
\(603\) 1.37792e16 0.286630
\(604\) 1.47545e16 2.55556e16i 0.303881 0.526338i
\(605\) −2.16352e16 + 1.24911e16i −0.441193 + 0.254723i
\(606\) 3.32168e16 + 5.75331e16i 0.670690 + 1.16167i
\(607\) 1.93747e16 + 1.11860e16i 0.387350 + 0.223636i 0.681011 0.732273i \(-0.261541\pi\)
−0.293662 + 0.955909i \(0.594874\pi\)
\(608\) 1.47229e16i 0.291455i
\(609\) −1.42347e16 1.78540e15i −0.279026 0.0349972i
\(610\) −3.31044e15 −0.0642550
\(611\) −2.84238e16 + 4.92314e16i −0.546304 + 0.946227i
\(612\) −2.37400e15 + 1.37063e15i −0.0451827 + 0.0260862i
\(613\) −2.91851e16 5.05500e16i −0.550045 0.952705i −0.998271 0.0587849i \(-0.981277\pi\)
0.448226 0.893920i \(-0.352056\pi\)
\(614\) −2.61343e16 1.50886e16i −0.487754 0.281605i
\(615\) 3.56041e16i 0.658036i
\(616\) 7.00005e14 5.58101e15i 0.0128120 0.102148i
\(617\) −1.98026e16 −0.358931 −0.179466 0.983764i \(-0.557437\pi\)
−0.179466 + 0.983764i \(0.557437\pi\)
\(618\) 2.55511e16 4.42558e16i 0.458647 0.794400i
\(619\) 1.60595e16 9.27195e15i 0.285488 0.164827i −0.350417 0.936594i \(-0.613960\pi\)
0.635905 + 0.771767i \(0.280627\pi\)
\(620\) −7.19553e15 1.24630e16i −0.126681 0.219419i
\(621\) −2.49101e16 1.43818e16i −0.434336 0.250764i
\(622\) 1.41516e16i 0.244379i
\(623\) 2.47683e15 + 5.87751e15i 0.0423612 + 0.100523i
\(624\) 9.92775e15 0.168168
\(625\) −4.96079e15 + 8.59235e15i −0.0832283 + 0.144156i
\(626\) 9.47819e15 5.47224e15i 0.157500 0.0909324i
\(627\) −1.72327e16 2.98479e16i −0.283627 0.491256i
\(628\) −3.27020e16 1.88805e16i −0.533109 0.307791i
\(629\) 2.37465e16i 0.383439i
\(630\) −5.88760e15 + 7.77096e15i −0.0941662 + 0.124289i
\(631\) 1.12464e16 0.178171 0.0890855 0.996024i \(-0.471606\pi\)
0.0890855 + 0.996024i \(0.471606\pi\)
\(632\) 1.28409e16 2.22411e16i 0.201509 0.349023i
\(633\) −9.44808e16 + 5.45485e16i −1.46866 + 0.847931i
\(634\) 2.99632e15 + 5.18978e15i 0.0461373 + 0.0799122i
\(635\) −4.09542e16 2.36449e16i −0.624678 0.360658i
\(636\) 4.13758e16i 0.625178i
\(637\) −3.66146e16 + 1.02932e16i −0.548048 + 0.154069i
\(638\) 3.30474e15 0.0490020
\(639\) −2.59783e16 + 4.49957e16i −0.381597 + 0.660946i
\(640\) 2.92807e15 1.69052e15i 0.0426090 0.0246003i
\(641\) −2.17347e16 3.76457e16i −0.313333 0.542709i 0.665749 0.746176i \(-0.268112\pi\)
−0.979082 + 0.203467i \(0.934779\pi\)
\(642\) −6.86718e16 3.96477e16i −0.980773 0.566249i
\(643\) 3.56902e16i 0.504990i 0.967598 + 0.252495i \(0.0812512\pi\)
−0.967598 + 0.252495i \(0.918749\pi\)
\(644\) 1.99843e16 + 1.51409e16i 0.280139 + 0.212244i
\(645\) 6.69864e16 0.930311
\(646\) −1.11581e16 + 1.93265e16i −0.153531 + 0.265924i
\(647\) 8.83324e16 5.09987e16i 1.20419 0.695238i 0.242704 0.970100i \(-0.421966\pi\)
0.961484 + 0.274862i \(0.0886322\pi\)
\(648\) 1.62190e16 + 2.80921e16i 0.219065 + 0.379432i
\(649\) −9.46446e14 5.46431e14i −0.0126657 0.00731252i
\(650\) 2.09529e16i 0.277820i
\(651\) −7.54493e16 + 3.17949e16i −0.991218 + 0.417707i
\(652\) −5.67650e16 −0.738916
\(653\) −1.37945e16 + 2.38927e16i −0.177921 + 0.308168i −0.941168 0.337939i \(-0.890270\pi\)
0.763247 + 0.646106i \(0.223604\pi\)
\(654\) −7.40885e16 + 4.27750e16i −0.946857 + 0.546668i
\(655\) −3.60720e16 6.24785e16i −0.456796 0.791193i
\(656\) 1.72623e16 + 9.96640e15i 0.216609 + 0.125059i
\(657\) 2.15688e16i 0.268185i
\(658\) 1.09290e17 + 1.37078e16i 1.34656 + 0.168894i
\(659\) 8.60974e16 1.05118 0.525590 0.850738i \(-0.323844\pi\)
0.525590 + 0.850738i \(0.323844\pi\)
\(660\) 3.95741e15 6.85443e15i 0.0478792 0.0829292i
\(661\) 1.10364e16 6.37188e15i 0.132318 0.0763939i −0.432380 0.901692i \(-0.642326\pi\)
0.564698 + 0.825298i \(0.308993\pi\)
\(662\) −1.87740e16 3.25176e16i −0.223054 0.386341i
\(663\) −1.30320e16 7.52402e15i −0.153437 0.0885868i
\(664\) 7.58389e15i 0.0884879i
\(665\) −9.87758e15 + 7.87522e16i −0.114214 + 0.910610i
\(666\) 3.55882e16 0.407813
\(667\) −7.36544e15 + 1.27573e16i −0.0836458 + 0.144879i
\(668\) 2.12728e15 1.22818e15i 0.0239423 0.0138231i
\(669\) −3.72709e16 6.45551e16i −0.415732 0.720069i
\(670\) 2.23093e16 + 1.28803e16i 0.246625 + 0.142389i
\(671\) 4.33854e15i 0.0475345i
\(672\) −7.46991e15 1.77261e16i −0.0811148 0.192485i
\(673\) 1.37493e17 1.47976 0.739879 0.672740i \(-0.234883\pi\)
0.739879 + 0.672740i \(0.234883\pi\)
\(674\) 6.23756e15 1.08038e16i 0.0665358 0.115243i
\(675\) −4.03351e16 + 2.32875e16i −0.426443 + 0.246207i
\(676\) −1.61253e16 2.79298e16i −0.168977 0.292676i
\(677\) −2.86231e16 1.65256e16i −0.297293 0.171642i 0.343933 0.938994i \(-0.388241\pi\)
−0.641226 + 0.767352i \(0.721574\pi\)
\(678\) 9.09769e15i 0.0936597i
\(679\) 2.43506e16 3.21400e16i 0.248480 0.327965i
\(680\) −5.12483e15 −0.0518354
\(681\) −7.10929e16 + 1.23137e17i −0.712761 + 1.23454i
\(682\) 1.63336e16 9.43020e15i 0.162321 0.0937162i
\(683\) 1.98041e16 + 3.43017e16i 0.195088 + 0.337903i 0.946929 0.321441i \(-0.104167\pi\)
−0.751841 + 0.659344i \(0.770834\pi\)
\(684\) −2.89640e16 1.67224e16i −0.282828 0.163291i
\(685\) 2.50333e16i 0.242312i
\(686\) 4.59285e16 + 5.76309e16i 0.440694 + 0.552981i
\(687\) 8.36938e16 0.796073
\(688\) −1.87510e16 + 3.24777e16i −0.176805 + 0.306235i
\(689\) 5.58144e16 3.22245e16i 0.521712 0.301211i
\(690\) 1.76401e16 + 3.05536e16i 0.163458 + 0.283118i
\(691\) −6.34564e16 3.66366e16i −0.582918 0.336548i 0.179374 0.983781i \(-0.442593\pi\)
−0.762292 + 0.647233i \(0.775926\pi\)
\(692\) 9.08162e15i 0.0827041i
\(693\) −1.01843e16 7.71607e15i −0.0919461 0.0696622i
\(694\) 5.84142e14 0.00522831
\(695\) −3.21604e16 + 5.57034e16i −0.285373 + 0.494280i
\(696\) 9.78758e15 5.65086e15i 0.0861033 0.0497118i
\(697\) −1.51066e16 2.61654e16i −0.131756 0.228208i
\(698\) −2.94405e16 1.69975e16i −0.254574 0.146978i
\(699\) 3.65415e16i 0.313273i
\(700\) 3.74115e16 1.57655e16i 0.317993 0.134005i
\(701\) −2.17411e16 −0.183220 −0.0916101 0.995795i \(-0.529201\pi\)
−0.0916101 + 0.995795i \(0.529201\pi\)
\(702\) −1.71870e16 + 2.97687e16i −0.143607 + 0.248735i
\(703\) 2.50905e17 1.44860e17i 2.07863 1.20010i
\(704\) 2.21554e15 + 3.83742e15i 0.0181988 + 0.0315213i
\(705\) 1.34227e17 + 7.74958e16i 1.09321 + 0.631166i
\(706\) 4.85060e16i 0.391713i
\(707\) 1.98942e17 + 2.49525e16i 1.59297 + 0.199801i
\(708\) −3.73742e15 −0.0296738
\(709\) 1.03734e17 1.79673e17i 0.816665 1.41450i −0.0914619 0.995809i \(-0.529154\pi\)
0.908126 0.418696i \(-0.137513\pi\)
\(710\) −8.41203e16 + 4.85669e16i −0.656676 + 0.379132i
\(711\) −2.91697e16 5.05234e16i −0.225795 0.391088i
\(712\) −4.35138e15 2.51227e15i −0.0334000 0.0192835i
\(713\) 8.40702e16i 0.639889i
\(714\) −3.62858e15 + 2.89300e16i −0.0273872 + 0.218353i
\(715\) 1.23285e16 0.0922728
\(716\) −4.52641e16 + 7.83998e16i −0.335951 + 0.581884i
\(717\) 4.09665e16 2.36520e16i 0.301519 0.174082i
\(718\) 4.14213e16 + 7.17438e16i 0.302327 + 0.523646i
\(719\) −2.07457e17 1.19775e17i −1.50160 0.866950i −0.999998 0.00185138i \(-0.999411\pi\)
−0.501602 0.865098i \(-0.667256\pi\)
\(720\) 7.68045e15i 0.0551305i
\(721\) −5.98926e16 1.42125e17i −0.426346 1.01172i
\(722\) −1.72107e17 −1.21500
\(723\) −1.31158e17 + 2.27172e17i −0.918257 + 1.59047i
\(724\) 2.51842e15 1.45401e15i 0.0174863 0.0100957i
\(725\) 1.19263e16 + 2.06570e16i 0.0821257 + 0.142246i
\(726\) −9.69675e16 5.59842e16i −0.662226 0.382337i
\(727\) 5.15434e16i 0.349113i 0.984647 + 0.174557i \(0.0558492\pi\)
−0.984647 + 0.174557i \(0.944151\pi\)
\(728\) 1.80941e16 2.38821e16i 0.121548 0.160430i
\(729\) −5.28512e16 −0.352119
\(730\) 2.01617e16 3.49211e16i 0.133226 0.230755i
\(731\) 4.92283e16 2.84220e16i 0.322634 0.186273i
\(732\) −7.41858e15 1.28494e16i −0.0482230 0.0835247i
\(733\) −1.01615e17 5.86675e16i −0.655140 0.378245i 0.135283 0.990807i \(-0.456806\pi\)
−0.790423 + 0.612562i \(0.790139\pi\)
\(734\) 9.11546e16i 0.582911i
\(735\) 2.80639e16 + 9.98278e16i 0.178001 + 0.633180i
\(736\) −1.97515e16 −0.124260
\(737\) −1.68804e16 + 2.92378e16i −0.105337 + 0.182448i
\(738\) 3.92134e16 2.26399e16i 0.242715 0.140132i
\(739\) −5.17864e15 8.96968e15i −0.0317943 0.0550694i 0.849690 0.527282i \(-0.176789\pi\)
−0.881485 + 0.472213i \(0.843455\pi\)
\(740\) 5.76192e16 + 3.32664e16i 0.350895 + 0.202589i
\(741\) 1.83594e17i 1.10905i
\(742\) −9.95334e16 7.54105e16i −0.596410 0.451865i
\(743\) −2.76902e17 −1.64586 −0.822929 0.568144i \(-0.807662\pi\)
−0.822929 + 0.568144i \(0.807662\pi\)
\(744\) 3.22499e16 5.58584e16i 0.190147 0.329345i
\(745\) 1.47350e16 8.50728e15i 0.0861814 0.0497569i
\(746\) 4.37804e16 + 7.58299e16i 0.254008 + 0.439954i
\(747\) 1.49196e16 + 8.61386e15i 0.0858687 + 0.0495763i
\(748\) 6.71642e15i 0.0383467i
\(749\) −2.20536e17 + 9.29356e16i −1.24907 + 0.526370i
\(750\) 1.39901e17 0.786058
\(751\) −2.83851e15 + 4.91644e15i −0.0158216 + 0.0274038i −0.873828 0.486236i \(-0.838370\pi\)
0.858006 + 0.513639i \(0.171703\pi\)
\(752\) −7.51462e16 + 4.33857e16i −0.415528 + 0.239905i
\(753\) 1.61543e17 + 2.79801e17i 0.886175 + 1.53490i
\(754\) 1.52456e16 + 8.80205e15i 0.0829691 + 0.0479023i
\(755\) 1.25320e17i 0.676612i
\(756\) 6.60843e16 + 8.28870e15i