Properties

Label 16.12.e.a.13.15
Level 16
Weight 12
Character 16.13
Analytic conductor 12.293
Analytic rank 0
Dimension 42
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 16 = 2^{4} \)
Weight: \( k \) = \( 12 \)
Character orbit: \([\chi]\) = 16.e (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.2934908890\)
Analytic rank: \(0\)
Dimension: \(42\)
Relative dimension: \(21\) over \(\Q(i)\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 13.15
Character \(\chi\) = 16.13
Dual form 16.12.e.a.5.15

$q$-expansion

\(f(q)\) \(=\) \(q+(26.1391 - 36.9425i) q^{2} +(255.917 + 255.917i) q^{3} +(-681.491 - 1931.29i) q^{4} +(-4214.49 + 4214.49i) q^{5} +(16143.6 - 2764.75i) q^{6} -80345.3i q^{7} +(-89160.1 - 25306.2i) q^{8} -46160.2i q^{9} +O(q^{10})\) \(q+(26.1391 - 36.9425i) q^{2} +(255.917 + 255.917i) q^{3} +(-681.491 - 1931.29i) q^{4} +(-4214.49 + 4214.49i) q^{5} +(16143.6 - 2764.75i) q^{6} -80345.3i q^{7} +(-89160.1 - 25306.2i) q^{8} -46160.2i q^{9} +(45530.5 + 265857. i) q^{10} +(611105. - 611105. i) q^{11} +(319844. - 668654. i) q^{12} +(370364. + 370364. i) q^{13} +(-2.96815e6 - 2.10016e6i) q^{14} -2.15712e6 q^{15} +(-3.26544e6 + 2.63231e6i) q^{16} -725142. q^{17} +(-1.70527e6 - 1.20659e6i) q^{18} +(-1.13100e7 - 1.13100e7i) q^{19} +(1.10115e7 + 5.26725e6i) q^{20} +(2.05617e7 - 2.05617e7i) q^{21} +(-6.60196e6 - 3.85495e7i) q^{22} +4.89011e7i q^{23} +(-1.63413e7 - 2.92939e7i) q^{24} +1.33043e7i q^{25} +(2.33632e7 - 4.00116e6i) q^{26} +(5.71481e7 - 5.71481e7i) q^{27} +(-1.55170e8 + 5.47546e7i) q^{28} +(4.98291e7 + 4.98291e7i) q^{29} +(-5.63852e7 + 7.96892e7i) q^{30} +4.20747e7 q^{31} +(1.18882e7 + 1.89440e8i) q^{32} +3.12784e8 q^{33} +(-1.89546e7 + 2.67885e7i) q^{34} +(3.38614e8 + 3.38614e8i) q^{35} +(-8.91486e7 + 3.14578e7i) q^{36} +(-1.05666e8 + 1.05666e8i) q^{37} +(-7.13450e8 + 1.22185e8i) q^{38} +1.89565e8i q^{39} +(4.82417e8 - 2.69111e8i) q^{40} -4.49063e8i q^{41} +(-2.22135e8 - 1.29706e9i) q^{42} +(7.89791e8 - 7.89791e8i) q^{43} +(-1.59668e9 - 7.63757e8i) q^{44} +(1.94542e8 + 1.94542e8i) q^{45} +(1.80653e9 + 1.27823e9i) q^{46} +1.32368e9 q^{47} +(-1.50933e9 - 1.62029e8i) q^{48} -4.47803e9 q^{49} +(4.91494e8 + 3.47763e8i) q^{50} +(-1.85576e8 - 1.85576e8i) q^{51} +(4.62880e8 - 9.67680e8i) q^{52} +(1.74345e9 - 1.74345e9i) q^{53} +(-6.17389e8 - 3.60499e9i) q^{54} +5.15099e9i q^{55} +(-2.03324e9 + 7.16359e9i) q^{56} -5.78882e9i q^{57} +(3.14330e9 - 5.38320e8i) q^{58} +(-6.71604e8 + 6.71604e8i) q^{59} +(1.47006e9 + 4.16601e9i) q^{60} +(-8.30682e8 - 8.30682e8i) q^{61} +(1.09980e9 - 1.55434e9i) q^{62} -3.70875e9 q^{63} +(7.30912e9 + 4.51262e9i) q^{64} -3.12179e9 q^{65} +(8.17590e9 - 1.15550e10i) q^{66} +(3.88275e9 + 3.88275e9i) q^{67} +(4.94178e8 + 1.40046e9i) q^{68} +(-1.25146e10 + 1.25146e10i) q^{69} +(2.13603e10 - 3.65816e9i) q^{70} +5.14233e9i q^{71} +(-1.16814e9 + 4.11565e9i) q^{72} +4.42543e9i q^{73} +(1.14154e9 + 6.66558e9i) q^{74} +(-3.40480e9 + 3.40480e9i) q^{75} +(-1.41352e10 + 2.95504e10i) q^{76} +(-4.90994e10 - 4.90994e10i) q^{77} +(7.00299e9 + 4.95506e9i) q^{78} +2.71827e10 q^{79} +(2.66833e9 - 2.48560e10i) q^{80} +2.10732e10 q^{81} +(-1.65895e10 - 1.17381e10i) q^{82} +(1.81378e10 + 1.81378e10i) q^{83} +(-5.37232e10 - 2.56979e10i) q^{84} +(3.05610e9 - 3.05610e9i) q^{85} +(-8.53237e9 - 4.98213e10i) q^{86} +2.55042e10i q^{87} +(-6.99509e10 + 3.90214e10i) q^{88} -5.56593e10i q^{89} +(1.22720e10 - 2.10170e9i) q^{90} +(2.97570e10 - 2.97570e10i) q^{91} +(9.44421e10 - 3.33257e10i) q^{92} +(1.07676e10 + 1.07676e10i) q^{93} +(3.45999e10 - 4.89000e10i) q^{94} +9.53314e10 q^{95} +(-4.54385e10 + 5.15232e10i) q^{96} +2.61297e10 q^{97} +(-1.17052e11 + 1.65430e11i) q^{98} +(-2.82087e10 - 2.82087e10i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 42q - 2q^{2} - 2q^{3} + 3080q^{4} - 2q^{5} + 30352q^{6} + 74836q^{8} + O(q^{10}) \) \( 42q - 2q^{2} - 2q^{3} + 3080q^{4} - 2q^{5} + 30352q^{6} + 74836q^{8} - 988948q^{10} - 540846q^{11} + 2300260q^{12} - 2q^{13} - 1829956q^{14} - 6075004q^{15} - 3721448q^{16} - 4q^{17} - 32219106q^{18} - 11291290q^{19} + 68655164q^{20} + 354292q^{21} - 85011388q^{22} - 66180944q^{24} + 305685384q^{26} - 66463304q^{27} - 322075880q^{28} + 77673206q^{29} + 290643636q^{30} + 343549808q^{31} + 404698568q^{32} - 4q^{33} - 882461836q^{34} - 434731684q^{35} + 1854387628q^{36} - 522762058q^{37} - 1276252832q^{38} - 483241016q^{40} + 2372079160q^{42} + 3824193658q^{43} - 2657283740q^{44} + 97301954q^{45} - 1032658964q^{46} - 4586900144q^{47} - 1058870552q^{48} - 8474257474q^{49} + 6515930886q^{50} + 7074245796q^{51} - 13915491564q^{52} - 2100608058q^{53} + 4385621536q^{54} + 12910845976q^{56} - 21491153128q^{58} + 955824746q^{59} + 25615752768q^{60} + 2150827022q^{61} - 15814519760q^{62} + 27758037828q^{63} + 9674332160q^{64} - 1884965292q^{65} + 10932459412q^{66} - 3186519018q^{67} + 13817664656q^{68} - 16193060732q^{69} - 27206453120q^{70} - 20773133628q^{72} + 14141420908q^{74} + 28890034486q^{75} - 11786004940q^{76} - 22711870540q^{77} + 37031200508q^{78} + 48011833792q^{79} - 8952586328q^{80} - 90656394430q^{81} - 81555388352q^{82} + 55713221118q^{83} + 61178517160q^{84} - 84575506252q^{85} + 10047297860q^{86} - 162855622152q^{88} + 160133627736q^{90} - 147369662716q^{91} - 169766721928q^{92} - 69689773328q^{93} + 160320530128q^{94} + 375702304500q^{95} + 230764310192q^{96} - 4q^{97} - 108887063494q^{98} - 286271331106q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(15\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 26.1391 36.9425i 0.577599 0.816321i
\(3\) 255.917 + 255.917i 0.608040 + 0.608040i 0.942433 0.334394i \(-0.108532\pi\)
−0.334394 + 0.942433i \(0.608532\pi\)
\(4\) −681.491 1931.29i −0.332759 0.943012i
\(5\) −4214.49 + 4214.49i −0.603128 + 0.603128i −0.941141 0.338013i \(-0.890245\pi\)
0.338013 + 0.941141i \(0.390245\pi\)
\(6\) 16143.6 2764.75i 0.847558 0.145152i
\(7\) 80345.3i 1.80685i −0.428751 0.903423i \(-0.641046\pi\)
0.428751 0.903423i \(-0.358954\pi\)
\(8\) −89160.1 25306.2i −0.962002 0.273044i
\(9\) 46160.2i 0.260576i
\(10\) 45530.5 + 265857.i 0.143980 + 0.840712i
\(11\) 611105. 611105.i 1.14408 1.14408i 0.156382 0.987697i \(-0.450017\pi\)
0.987697 0.156382i \(-0.0499831\pi\)
\(12\) 319844. 668654.i 0.371058 0.775719i
\(13\) 370364. + 370364.i 0.276656 + 0.276656i 0.831773 0.555116i \(-0.187326\pi\)
−0.555116 + 0.831773i \(0.687326\pi\)
\(14\) −2.96815e6 2.10016e6i −1.47497 1.04363i
\(15\) −2.15712e6 −0.733452
\(16\) −3.26544e6 + 2.63231e6i −0.778542 + 0.627592i
\(17\) −725142. −0.123867 −0.0619333 0.998080i \(-0.519727\pi\)
−0.0619333 + 0.998080i \(0.519727\pi\)
\(18\) −1.70527e6 1.20659e6i −0.212713 0.150508i
\(19\) −1.13100e7 1.13100e7i −1.04789 1.04789i −0.998794 0.0490973i \(-0.984366\pi\)
−0.0490973 0.998794i \(-0.515634\pi\)
\(20\) 1.10115e7 + 5.26725e6i 0.769454 + 0.368061i
\(21\) 2.05617e7 2.05617e7i 1.09863 1.09863i
\(22\) −6.60196e6 3.85495e7i −0.273117 1.59475i
\(23\) 4.89011e7i 1.58422i 0.610378 + 0.792110i \(0.291018\pi\)
−0.610378 + 0.792110i \(0.708982\pi\)
\(24\) −1.63413e7 2.92939e7i −0.418913 0.750957i
\(25\) 1.33043e7i 0.272472i
\(26\) 2.33632e7 4.00116e6i 0.385636 0.0660439i
\(27\) 5.71481e7 5.71481e7i 0.766480 0.766480i
\(28\) −1.55170e8 + 5.47546e7i −1.70388 + 0.601245i
\(29\) 4.98291e7 + 4.98291e7i 0.451122 + 0.451122i 0.895727 0.444605i \(-0.146656\pi\)
−0.444605 + 0.895727i \(0.646656\pi\)
\(30\) −5.63852e7 + 7.96892e7i −0.423641 + 0.598732i
\(31\) 4.20747e7 0.263956 0.131978 0.991253i \(-0.457867\pi\)
0.131978 + 0.991253i \(0.457867\pi\)
\(32\) 1.18882e7 + 1.89440e8i 0.0626312 + 0.998037i
\(33\) 3.12784e8 1.39129
\(34\) −1.89546e7 + 2.67885e7i −0.0715452 + 0.101115i
\(35\) 3.38614e8 + 3.38614e8i 1.08976 + 1.08976i
\(36\) −8.91486e7 + 3.14578e7i −0.245726 + 0.0867090i
\(37\) −1.05666e8 + 1.05666e8i −0.250510 + 0.250510i −0.821180 0.570670i \(-0.806684\pi\)
0.570670 + 0.821180i \(0.306684\pi\)
\(38\) −7.13450e8 + 1.22185e8i −1.46068 + 0.250155i
\(39\) 1.89565e8i 0.336436i
\(40\) 4.82417e8 2.69111e8i 0.744891 0.415530i
\(41\) 4.49063e8i 0.605335i −0.953096 0.302668i \(-0.902123\pi\)
0.953096 0.302668i \(-0.0978772\pi\)
\(42\) −2.22135e8 1.29706e9i −0.262268 1.53141i
\(43\) 7.89791e8 7.89791e8i 0.819286 0.819286i −0.166718 0.986005i \(-0.553317\pi\)
0.986005 + 0.166718i \(0.0533170\pi\)
\(44\) −1.59668e9 7.63757e8i −1.45958 0.698177i
\(45\) 1.94542e8 + 1.94542e8i 0.157161 + 0.157161i
\(46\) 1.80653e9 + 1.27823e9i 1.29323 + 0.915044i
\(47\) 1.32368e9 0.841870 0.420935 0.907091i \(-0.361702\pi\)
0.420935 + 0.907091i \(0.361702\pi\)
\(48\) −1.50933e9 1.62029e8i −0.854985 0.0917839i
\(49\) −4.47803e9 −2.26469
\(50\) 4.91494e8 + 3.47763e8i 0.222425 + 0.157380i
\(51\) −1.85576e8 1.85576e8i −0.0753158 0.0753158i
\(52\) 4.62880e8 9.67680e8i 0.168830 0.352950i
\(53\) 1.74345e9 1.74345e9i 0.572655 0.572655i −0.360214 0.932870i \(-0.617296\pi\)
0.932870 + 0.360214i \(0.117296\pi\)
\(54\) −6.17389e8 3.60499e9i −0.182976 1.06841i
\(55\) 5.15099e9i 1.38005i
\(56\) −2.03324e9 + 7.16359e9i −0.493348 + 1.73819i
\(57\) 5.78882e9i 1.27432i
\(58\) 3.14330e9 5.38320e8i 0.628828 0.107693i
\(59\) −6.71604e8 + 6.71604e8i −0.122300 + 0.122300i −0.765608 0.643308i \(-0.777562\pi\)
0.643308 + 0.765608i \(0.277562\pi\)
\(60\) 1.47006e9 + 4.16601e9i 0.244063 + 0.691654i
\(61\) −8.30682e8 8.30682e8i −0.125928 0.125928i 0.641334 0.767262i \(-0.278381\pi\)
−0.767262 + 0.641334i \(0.778381\pi\)
\(62\) 1.09980e9 1.55434e9i 0.152461 0.215473i
\(63\) −3.70875e9 −0.470820
\(64\) 7.30912e9 + 4.51262e9i 0.850894 + 0.525338i
\(65\) −3.12179e9 −0.333718
\(66\) 8.17590e9 1.15550e10i 0.803608 1.13574i
\(67\) 3.88275e9 + 3.88275e9i 0.351340 + 0.351340i 0.860608 0.509268i \(-0.170084\pi\)
−0.509268 + 0.860608i \(0.670084\pi\)
\(68\) 4.94178e8 + 1.40046e9i 0.0412178 + 0.116808i
\(69\) −1.25146e10 + 1.25146e10i −0.963269 + 0.963269i
\(70\) 2.13603e10 3.65816e9i 1.51904 0.260150i
\(71\) 5.14233e9i 0.338251i 0.985595 + 0.169125i \(0.0540943\pi\)
−0.985595 + 0.169125i \(0.945906\pi\)
\(72\) −1.16814e9 + 4.11565e9i −0.0711486 + 0.250674i
\(73\) 4.42543e9i 0.249850i 0.992166 + 0.124925i \(0.0398690\pi\)
−0.992166 + 0.124925i \(0.960131\pi\)
\(74\) 1.14154e9 + 6.66558e9i 0.0598023 + 0.349191i
\(75\) −3.40480e9 + 3.40480e9i −0.165674 + 0.165674i
\(76\) −1.41352e10 + 2.95504e10i −0.639478 + 1.33687i
\(77\) −4.90994e10 4.90994e10i −2.06717 2.06717i
\(78\) 7.00299e9 + 4.95506e9i 0.274640 + 0.194325i
\(79\) 2.71827e10 0.993902 0.496951 0.867779i \(-0.334453\pi\)
0.496951 + 0.867779i \(0.334453\pi\)
\(80\) 2.66833e9 2.48560e10i 0.0910425 0.848080i
\(81\) 2.10732e10 0.671525
\(82\) −1.65895e10 1.17381e10i −0.494148 0.349641i
\(83\) 1.81378e10 + 1.81378e10i 0.505423 + 0.505423i 0.913118 0.407695i \(-0.133667\pi\)
−0.407695 + 0.913118i \(0.633667\pi\)
\(84\) −5.37232e10 2.56979e10i −1.40160 0.670444i
\(85\) 3.05610e9 3.05610e9i 0.0747075 0.0747075i
\(86\) −8.53237e9 4.98213e10i −0.195582 1.14202i
\(87\) 2.55042e10i 0.548600i
\(88\) −6.99509e10 + 3.90214e10i −1.41299 + 0.788221i
\(89\) 5.56593e10i 1.05656i −0.849071 0.528278i \(-0.822838\pi\)
0.849071 0.528278i \(-0.177162\pi\)
\(90\) 1.22720e10 2.10170e9i 0.219069 0.0375177i
\(91\) 2.97570e10 2.97570e10i 0.499875 0.499875i
\(92\) 9.44421e10 3.33257e10i 1.49394 0.527164i
\(93\) 1.07676e10 + 1.07676e10i 0.160496 + 0.160496i
\(94\) 3.45999e10 4.89000e10i 0.486263 0.687236i
\(95\) 9.53314e10 1.26403
\(96\) −4.54385e10 + 5.15232e10i −0.568764 + 0.644928i
\(97\) 2.61297e10 0.308951 0.154476 0.987997i \(-0.450631\pi\)
0.154476 + 0.987997i \(0.450631\pi\)
\(98\) −1.17052e11 + 1.65430e11i −1.30808 + 1.84871i
\(99\) −2.82087e10 2.82087e10i −0.298119 0.298119i
\(100\) 2.56945e10 9.06677e9i 0.256945 0.0906677i
\(101\) −4.83525e10 + 4.83525e10i −0.457774 + 0.457774i −0.897924 0.440150i \(-0.854925\pi\)
0.440150 + 0.897924i \(0.354925\pi\)
\(102\) −1.17064e10 + 2.00484e9i −0.104984 + 0.0179795i
\(103\) 8.13751e10i 0.691651i 0.938299 + 0.345825i \(0.112401\pi\)
−0.938299 + 0.345825i \(0.887599\pi\)
\(104\) −2.36492e10 4.23942e10i −0.190604 0.341683i
\(105\) 1.73314e11i 1.32523i
\(106\) −1.88351e10 1.09980e11i −0.136705 0.798235i
\(107\) −1.97606e10 + 1.97606e10i −0.136204 + 0.136204i −0.771922 0.635718i \(-0.780704\pi\)
0.635718 + 0.771922i \(0.280704\pi\)
\(108\) −1.49315e11 7.14235e10i −0.977853 0.467746i
\(109\) 1.02515e11 + 1.02515e11i 0.638175 + 0.638175i 0.950105 0.311930i \(-0.100975\pi\)
−0.311930 + 0.950105i \(0.600975\pi\)
\(110\) 1.90290e11 + 1.34642e11i 1.12657 + 0.797117i
\(111\) −5.40834e10 −0.304640
\(112\) 2.11494e11 + 2.62363e11i 1.13396 + 1.40671i
\(113\) 2.99733e11 1.53039 0.765196 0.643798i \(-0.222642\pi\)
0.765196 + 0.643798i \(0.222642\pi\)
\(114\) −2.13853e11 1.51315e11i −1.04025 0.736045i
\(115\) −2.06093e11 2.06093e11i −0.955488 0.955488i
\(116\) 6.22763e10 1.30192e11i 0.275298 0.575529i
\(117\) 1.70961e10 1.70961e10i 0.0720899 0.0720899i
\(118\) 7.25556e9 + 4.23659e10i 0.0291958 + 0.170477i
\(119\) 5.82617e10i 0.223808i
\(120\) 1.92329e11 + 5.45885e10i 0.705582 + 0.200265i
\(121\) 4.61586e11i 1.61783i
\(122\) −5.24008e10 + 8.97413e9i −0.175533 + 0.0300617i
\(123\) 1.14923e11 1.14923e11i 0.368068 0.368068i
\(124\) −2.86736e10 8.12584e10i −0.0878339 0.248914i
\(125\) −2.61856e11 2.61856e11i −0.767464 0.767464i
\(126\) −9.69436e10 + 1.37010e11i −0.271945 + 0.384340i
\(127\) −6.80100e11 −1.82664 −0.913319 0.407245i \(-0.866490\pi\)
−0.913319 + 0.407245i \(0.866490\pi\)
\(128\) 3.57761e11 1.52061e11i 0.920319 0.391168i
\(129\) 4.04242e11 0.996317
\(130\) −8.16009e10 + 1.15327e11i −0.192755 + 0.272421i
\(131\) −4.89403e11 4.89403e11i −1.10834 1.10834i −0.993368 0.114976i \(-0.963321\pi\)
−0.114976 0.993368i \(-0.536679\pi\)
\(132\) −2.13159e11 6.04076e11i −0.462965 1.31200i
\(133\) −9.08702e11 + 9.08702e11i −1.89338 + 1.89338i
\(134\) 2.44930e11 4.19466e10i 0.489740 0.0838726i
\(135\) 4.81700e11i 0.924572i
\(136\) 6.46538e10 + 1.83506e10i 0.119160 + 0.0338210i
\(137\) 6.45344e11i 1.14243i 0.820802 + 0.571213i \(0.193527\pi\)
−0.820802 + 0.571213i \(0.806473\pi\)
\(138\) 1.35199e11 + 7.89442e11i 0.229954 + 1.34272i
\(139\) 7.22257e11 7.22257e11i 1.18062 1.18062i 0.201036 0.979584i \(-0.435569\pi\)
0.979584 0.201036i \(-0.0644310\pi\)
\(140\) 4.23199e11 8.84724e11i 0.665029 1.39028i
\(141\) 3.38752e11 + 3.38752e11i 0.511890 + 0.511890i
\(142\) 1.89970e11 + 1.34416e11i 0.276121 + 0.195373i
\(143\) 4.52662e11 0.633033
\(144\) 1.21508e11 + 1.50734e11i 0.163535 + 0.202869i
\(145\) −4.20008e11 −0.544169
\(146\) 1.63486e11 + 1.15677e11i 0.203958 + 0.144313i
\(147\) −1.14600e12 1.14600e12i −1.37702 1.37702i
\(148\) 2.76082e11 + 1.32061e11i 0.319594 + 0.152875i
\(149\) 7.59849e11 7.59849e11i 0.847623 0.847623i −0.142213 0.989836i \(-0.545422\pi\)
0.989836 + 0.142213i \(0.0454219\pi\)
\(150\) 3.67831e10 + 2.14780e11i 0.0395500 + 0.230936i
\(151\) 1.60628e12i 1.66513i 0.553925 + 0.832566i \(0.313129\pi\)
−0.553925 + 0.832566i \(0.686871\pi\)
\(152\) 7.22185e11 + 1.29461e12i 0.721953 + 1.29419i
\(153\) 3.34727e10i 0.0322766i
\(154\) −3.09727e12 + 5.30436e11i −2.88147 + 0.493480i
\(155\) −1.77323e11 + 1.77323e11i −0.159200 + 0.159200i
\(156\) 3.66104e11 1.29187e11i 0.317263 0.111952i
\(157\) −4.80944e11 4.80944e11i −0.402389 0.402389i 0.476685 0.879074i \(-0.341838\pi\)
−0.879074 + 0.476685i \(0.841838\pi\)
\(158\) 7.10532e11 1.00420e12i 0.574077 0.811343i
\(159\) 8.92358e11 0.696394
\(160\) −8.48495e11 7.48289e11i −0.639719 0.564170i
\(161\) 3.92897e12 2.86244
\(162\) 5.50834e11 7.78494e11i 0.387872 0.548180i
\(163\) 1.15153e12 + 1.15153e12i 0.783872 + 0.783872i 0.980482 0.196610i \(-0.0629933\pi\)
−0.196610 + 0.980482i \(0.562993\pi\)
\(164\) −8.67270e11 + 3.06032e11i −0.570838 + 0.201431i
\(165\) −1.31822e12 + 1.31822e12i −0.839127 + 0.839127i
\(166\) 1.14416e12 1.95948e11i 0.704518 0.120656i
\(167\) 1.12515e12i 0.670301i −0.942165 0.335150i \(-0.891213\pi\)
0.942165 0.335150i \(-0.108787\pi\)
\(168\) −2.35362e12 + 1.31294e12i −1.35686 + 0.756912i
\(169\) 1.51782e12i 0.846923i
\(170\) −3.30161e10 1.92784e11i −0.0178343 0.104136i
\(171\) −5.22070e11 + 5.22070e11i −0.273055 + 0.273055i
\(172\) −2.06355e12 9.87079e11i −1.04522 0.499972i
\(173\) −3.94285e11 3.94285e11i −0.193445 0.193445i 0.603738 0.797183i \(-0.293677\pi\)
−0.797183 + 0.603738i \(0.793677\pi\)
\(174\) 9.42188e11 + 6.66658e11i 0.447834 + 0.316871i
\(175\) 1.06894e12 0.492315
\(176\) −3.86910e11 + 3.60415e12i −0.172699 + 1.60873i
\(177\) −3.43750e11 −0.148727
\(178\) −2.05619e12 1.45489e12i −0.862489 0.610266i
\(179\) 4.94035e11 + 4.94035e11i 0.200940 + 0.200940i 0.800403 0.599463i \(-0.204619\pi\)
−0.599463 + 0.800403i \(0.704619\pi\)
\(180\) 2.43137e11 5.08294e11i 0.0959076 0.200501i
\(181\) −1.41767e12 + 1.41767e12i −0.542430 + 0.542430i −0.924240 0.381811i \(-0.875301\pi\)
0.381811 + 0.924240i \(0.375301\pi\)
\(182\) −3.21475e11 1.87712e12i −0.119331 0.696785i
\(183\) 4.25171e11i 0.153138i
\(184\) 1.23750e12 4.36003e12i 0.432562 1.52402i
\(185\) 8.90656e11i 0.302180i
\(186\) 6.79239e11 1.16326e11i 0.223718 0.0383139i
\(187\) −4.43138e11 + 4.43138e11i −0.141713 + 0.141713i
\(188\) −9.02077e11 2.55641e12i −0.280140 0.793893i
\(189\) −4.59158e12 4.59158e12i −1.38491 1.38491i
\(190\) 2.49188e12 3.52178e12i 0.730100 1.03185i
\(191\) 1.48907e12 0.423868 0.211934 0.977284i \(-0.432024\pi\)
0.211934 + 0.977284i \(0.432024\pi\)
\(192\) 7.15673e11 + 3.02538e12i 0.197951 + 0.836803i
\(193\) 4.59604e11 0.123543 0.0617716 0.998090i \(-0.480325\pi\)
0.0617716 + 0.998090i \(0.480325\pi\)
\(194\) 6.83008e11 9.65295e11i 0.178450 0.252203i
\(195\) −7.98918e11 7.98918e11i −0.202914 0.202914i
\(196\) 3.05174e12 + 8.64837e12i 0.753597 + 2.13563i
\(197\) 2.16767e12 2.16767e12i 0.520509 0.520509i −0.397216 0.917725i \(-0.630024\pi\)
0.917725 + 0.397216i \(0.130024\pi\)
\(198\) −1.77945e12 + 3.04748e11i −0.415554 + 0.0711676i
\(199\) 6.81559e12i 1.54814i 0.633097 + 0.774072i \(0.281783\pi\)
−0.633097 + 0.774072i \(0.718217\pi\)
\(200\) 3.36682e11 1.18621e12i 0.0743969 0.262119i
\(201\) 1.98732e12i 0.427257i
\(202\) 5.22368e11 + 3.05015e12i 0.109281 + 0.638100i
\(203\) 4.00353e12 4.00353e12i 0.815108 0.815108i
\(204\) −2.31932e11 + 4.84869e11i −0.0459617 + 0.0960857i
\(205\) 1.89257e12 + 1.89257e12i 0.365095 + 0.365095i
\(206\) 3.00620e12 + 2.12708e12i 0.564609 + 0.399497i
\(207\) 2.25728e12 0.412809
\(208\) −2.18432e12 2.34489e11i −0.389016 0.0417614i
\(209\) −1.38231e13 −2.39774
\(210\) 6.40265e12 + 4.53028e12i 1.08182 + 0.765454i
\(211\) 9.06969e11 + 9.06969e11i 0.149293 + 0.149293i 0.777802 0.628509i \(-0.216335\pi\)
−0.628509 + 0.777802i \(0.716335\pi\)
\(212\) −4.55526e12 2.17896e12i −0.730577 0.349464i
\(213\) −1.31601e12 + 1.31601e12i −0.205670 + 0.205670i
\(214\) 2.13480e11 + 1.24653e12i 0.0325149 + 0.189857i
\(215\) 6.65713e12i 0.988270i
\(216\) −6.54153e12 + 3.64913e12i −0.946638 + 0.528072i
\(217\) 3.38051e12i 0.476928i
\(218\) 6.46678e12 1.10750e12i 0.889564 0.152346i
\(219\) −1.13254e12 + 1.13254e12i −0.151919 + 0.151919i
\(220\) 9.94804e12 3.51035e12i 1.30141 0.459225i
\(221\) −2.68567e11 2.68567e11i −0.0342685 0.0342685i
\(222\) −1.41369e12 + 1.99797e12i −0.175960 + 0.248684i
\(223\) −1.21567e13 −1.47618 −0.738090 0.674702i \(-0.764272\pi\)
−0.738090 + 0.674702i \(0.764272\pi\)
\(224\) 1.52206e13 9.55160e11i 1.80330 0.113165i
\(225\) 6.14129e11 0.0709996
\(226\) 7.83475e12 1.10729e13i 0.883952 1.24929i
\(227\) 5.41697e12 + 5.41697e12i 0.596506 + 0.596506i 0.939381 0.342875i \(-0.111401\pi\)
−0.342875 + 0.939381i \(0.611401\pi\)
\(228\) −1.11799e13 + 3.94503e12i −1.20170 + 0.424042i
\(229\) −6.76215e11 + 6.76215e11i −0.0709561 + 0.0709561i −0.741694 0.670738i \(-0.765977\pi\)
0.670738 + 0.741694i \(0.265977\pi\)
\(230\) −1.30007e13 + 2.22649e12i −1.33187 + 0.228096i
\(231\) 2.51307e13i 2.51385i
\(232\) −3.18178e12 5.70376e12i −0.310804 0.557156i
\(233\) 2.89696e12i 0.276366i −0.990407 0.138183i \(-0.955874\pi\)
0.990407 0.138183i \(-0.0441262\pi\)
\(234\) −1.84695e11 1.07845e12i −0.0172094 0.100487i
\(235\) −5.57864e12 + 5.57864e12i −0.507756 + 0.507756i
\(236\) 1.75475e12 + 8.39369e11i 0.156027 + 0.0746340i
\(237\) 6.95651e12 + 6.95651e12i 0.604332 + 0.604332i
\(238\) 2.15233e12 + 1.52291e12i 0.182699 + 0.129271i
\(239\) −2.40938e12 −0.199856 −0.0999278 0.994995i \(-0.531861\pi\)
−0.0999278 + 0.994995i \(0.531861\pi\)
\(240\) 7.04394e12 5.67820e12i 0.571023 0.460309i
\(241\) 6.75923e12 0.535555 0.267777 0.963481i \(-0.413711\pi\)
0.267777 + 0.963481i \(0.413711\pi\)
\(242\) −1.70521e13 1.20655e13i −1.32067 0.934458i
\(243\) −4.73063e12 4.73063e12i −0.358166 0.358166i
\(244\) −1.03818e12 + 2.17039e12i −0.0768476 + 0.160655i
\(245\) 1.88726e13 1.88726e13i 1.36590 1.36590i
\(246\) −1.24155e12 7.24951e12i −0.0878659 0.513057i
\(247\) 8.37761e12i 0.579811i
\(248\) −3.75139e12 1.06475e12i −0.253926 0.0720717i
\(249\) 9.28353e12i 0.614634i
\(250\) −1.65183e13 + 2.82892e12i −1.06978 + 0.183211i
\(251\) −1.02005e13 + 1.02005e13i −0.646273 + 0.646273i −0.952090 0.305817i \(-0.901070\pi\)
0.305817 + 0.952090i \(0.401070\pi\)
\(252\) 2.52748e12 + 7.16267e12i 0.156670 + 0.443989i
\(253\) 2.98837e13 + 2.98837e13i 1.81247 + 1.81247i
\(254\) −1.77772e13 + 2.51246e13i −1.05506 + 1.49112i
\(255\) 1.56422e12 0.0908502
\(256\) 3.73406e12 1.71913e13i 0.212257 0.977214i
\(257\) −1.59010e13 −0.884695 −0.442347 0.896844i \(-0.645854\pi\)
−0.442347 + 0.896844i \(0.645854\pi\)
\(258\) 1.05665e13 1.49337e13i 0.575472 0.813314i
\(259\) 8.48976e12 + 8.48976e12i 0.452633 + 0.452633i
\(260\) 2.12747e12 + 6.02908e12i 0.111048 + 0.314700i
\(261\) 2.30012e12 2.30012e12i 0.117551 0.117551i
\(262\) −3.08723e13 + 5.28718e12i −1.54494 + 0.264586i
\(263\) 2.14522e13i 1.05127i −0.850710 0.525636i \(-0.823827\pi\)
0.850710 0.525636i \(-0.176173\pi\)
\(264\) −2.78879e13 7.91539e12i −1.33842 0.379884i
\(265\) 1.46955e13i 0.690769i
\(266\) 9.81700e12 + 5.73223e13i 0.451991 + 2.63922i
\(267\) 1.42441e13 1.42441e13i 0.642428 0.642428i
\(268\) 4.85265e12 1.01448e13i 0.214406 0.448229i
\(269\) −1.79297e13 1.79297e13i −0.776130 0.776130i 0.203040 0.979170i \(-0.434918\pi\)
−0.979170 + 0.203040i \(0.934918\pi\)
\(270\) 1.77952e13 + 1.25912e13i 0.754747 + 0.534031i
\(271\) 1.69476e13 0.704330 0.352165 0.935938i \(-0.385446\pi\)
0.352165 + 0.935938i \(0.385446\pi\)
\(272\) 2.36791e12 1.90880e12i 0.0964354 0.0777377i
\(273\) 1.52306e13 0.607888
\(274\) 2.38406e13 + 1.68687e13i 0.932586 + 0.659864i
\(275\) 8.13033e12 + 8.13033e12i 0.311730 + 0.311730i
\(276\) 3.26979e13 + 1.56407e13i 1.22891 + 0.587837i
\(277\) 6.82782e12 6.82782e12i 0.251561 0.251561i −0.570050 0.821610i \(-0.693076\pi\)
0.821610 + 0.570050i \(0.193076\pi\)
\(278\) −7.80278e12 4.55611e13i −0.281840 1.64569i
\(279\) 1.94218e12i 0.0687806i
\(280\) −2.16218e13 3.87599e13i −0.750798 1.34590i
\(281\) 4.34594e13i 1.47979i 0.672724 + 0.739893i \(0.265124\pi\)
−0.672724 + 0.739893i \(0.734876\pi\)
\(282\) 2.13690e13 3.65965e12i 0.713534 0.122200i
\(283\) −2.07572e13 + 2.07572e13i −0.679739 + 0.679739i −0.959941 0.280202i \(-0.909599\pi\)
0.280202 + 0.959941i \(0.409599\pi\)
\(284\) 9.93131e12 3.50445e12i 0.318974 0.112556i
\(285\) 2.43969e13 + 2.43969e13i 0.768578 + 0.768578i
\(286\) 1.18322e13 1.67225e13i 0.365639 0.516758i
\(287\) −3.60801e13 −1.09375
\(288\) 8.74458e12 5.48761e11i 0.260064 0.0163202i
\(289\) −3.37461e13 −0.984657
\(290\) −1.09787e13 + 1.55161e13i −0.314311 + 0.444217i
\(291\) 6.68703e12 + 6.68703e12i 0.187855 + 0.187855i
\(292\) 8.54678e12 3.01589e12i 0.235612 0.0831400i
\(293\) 4.66490e12 4.66490e12i 0.126203 0.126203i −0.641184 0.767387i \(-0.721556\pi\)
0.767387 + 0.641184i \(0.221556\pi\)
\(294\) −7.22917e13 + 1.23807e13i −1.91946 + 0.328725i
\(295\) 5.66093e12i 0.147525i
\(296\) 1.20952e13 6.74718e12i 0.309392 0.172591i
\(297\) 6.98469e13i 1.75383i
\(298\) −8.20889e12 4.79325e13i −0.202346 1.18152i
\(299\) −1.81112e13 + 1.81112e13i −0.438284 + 0.438284i
\(300\) 8.89598e12 + 4.25530e12i 0.211362 + 0.101103i
\(301\) −6.34560e13 6.34560e13i −1.48032 1.48032i
\(302\) 5.93401e13 + 4.19869e13i 1.35928 + 0.961779i
\(303\) −2.47484e13 −0.556690
\(304\) 6.67034e13 + 7.16070e12i 1.47348 + 0.158180i
\(305\) 7.00180e12 0.151901
\(306\) 1.23656e12 + 8.74948e11i 0.0263481 + 0.0186429i
\(307\) −2.07573e13 2.07573e13i −0.434421 0.434421i 0.455708 0.890129i \(-0.349386\pi\)
−0.890129 + 0.455708i \(0.849386\pi\)
\(308\) −6.13642e13 + 1.28286e14i −1.26150 + 2.63724i
\(309\) −2.08253e13 + 2.08253e13i −0.420551 + 0.420551i
\(310\) 1.91568e12 + 1.11858e13i 0.0380044 + 0.221911i
\(311\) 6.82615e13i 1.33043i −0.746650 0.665217i \(-0.768339\pi\)
0.746650 0.665217i \(-0.231661\pi\)
\(312\) 4.79717e12 1.69016e13i 0.0918618 0.323652i
\(313\) 6.58243e13i 1.23849i 0.785198 + 0.619245i \(0.212561\pi\)
−0.785198 + 0.619245i \(0.787439\pi\)
\(314\) −3.03387e13 + 5.19579e12i −0.560898 + 0.0960592i
\(315\) 1.56305e13 1.56305e13i 0.283965 0.283965i
\(316\) −1.85248e13 5.24976e13i −0.330730 0.937261i
\(317\) 1.67518e13 + 1.67518e13i 0.293924 + 0.293924i 0.838628 0.544704i \(-0.183358\pi\)
−0.544704 + 0.838628i \(0.683358\pi\)
\(318\) 2.33255e13 3.29659e13i 0.402236 0.568481i
\(319\) 6.09016e13 1.03224
\(320\) −4.98226e13 + 1.17858e13i −0.830044 + 0.196352i
\(321\) −1.01141e13 −0.165635
\(322\) 1.02700e14 1.45146e14i 1.65334 2.33667i
\(323\) 8.20133e12 + 8.20133e12i 0.129799 + 0.129799i
\(324\) −1.43612e13 4.06983e13i −0.223456 0.633256i
\(325\) −4.92744e12 + 4.92744e12i −0.0753811 + 0.0753811i
\(326\) 7.26406e13 1.24404e13i 1.09265 0.187127i
\(327\) 5.24704e13i 0.776071i
\(328\) −1.13641e13 + 4.00385e13i −0.165283 + 0.582334i
\(329\) 1.06351e14i 1.52113i
\(330\) 1.42412e13 + 8.31557e13i 0.200318 + 1.16968i
\(331\) −2.92920e13 + 2.92920e13i −0.405224 + 0.405224i −0.880069 0.474845i \(-0.842504\pi\)
0.474845 + 0.880069i \(0.342504\pi\)
\(332\) 2.26685e13 4.73900e13i 0.308435 0.644804i
\(333\) 4.87756e12 + 4.87756e12i 0.0652769 + 0.0652769i
\(334\) −4.15658e13 2.94104e13i −0.547180 0.387165i
\(335\) −3.27276e13 −0.423806
\(336\) −1.30183e13 + 1.21268e14i −0.165839 + 1.54483i
\(337\) −8.08695e13 −1.01349 −0.506746 0.862095i \(-0.669152\pi\)
−0.506746 + 0.862095i \(0.669152\pi\)
\(338\) −5.60721e13 3.96745e13i −0.691361 0.489182i
\(339\) 7.67066e13 + 7.67066e13i 0.930539 + 0.930539i
\(340\) −7.98492e12 3.81951e12i −0.0953096 0.0455904i
\(341\) 2.57121e13 2.57121e13i 0.301987 0.301987i
\(342\) 5.64009e12 + 3.29330e13i 0.0651842 + 0.380617i
\(343\) 2.00920e14i 2.28510i
\(344\) −9.04045e13 + 5.04312e13i −1.01186 + 0.564454i
\(345\) 1.05485e14i 1.16195i
\(346\) −2.48722e13 + 4.25959e12i −0.269647 + 0.0461796i
\(347\) 7.33385e13 7.33385e13i 0.782564 0.782564i −0.197698 0.980263i \(-0.563347\pi\)
0.980263 + 0.197698i \(0.0633467\pi\)
\(348\) 4.92560e13 1.73809e13i 0.517337 0.182552i
\(349\) 2.93654e13 + 2.93654e13i 0.303596 + 0.303596i 0.842419 0.538823i \(-0.181131\pi\)
−0.538823 + 0.842419i \(0.681131\pi\)
\(350\) 2.79411e13 3.94892e13i 0.284361 0.401887i
\(351\) 4.23312e13 0.424103
\(352\) 1.23033e14 + 1.08503e14i 1.21349 + 1.07018i
\(353\) 5.76163e13 0.559480 0.279740 0.960076i \(-0.409752\pi\)
0.279740 + 0.960076i \(0.409752\pi\)
\(354\) −8.98532e12 + 1.26990e13i −0.0859044 + 0.121409i
\(355\) −2.16723e13 2.16723e13i −0.204009 0.204009i
\(356\) −1.07494e14 + 3.79313e13i −0.996345 + 0.351579i
\(357\) −1.49102e13 + 1.49102e13i −0.136084 + 0.136084i
\(358\) 3.11645e13 5.33722e12i 0.280094 0.0479687i
\(359\) 1.50109e14i 1.32858i 0.747475 + 0.664290i \(0.231266\pi\)
−0.747475 + 0.664290i \(0.768734\pi\)
\(360\) −1.24222e13 2.22685e13i −0.108277 0.194100i
\(361\) 1.39340e14i 1.19615i
\(362\) 1.53156e13 + 8.94290e13i 0.129490 + 0.756103i
\(363\) 1.18128e14 1.18128e14i 0.983706 0.983706i
\(364\) −7.77485e13 3.71902e13i −0.637726 0.305050i
\(365\) −1.86509e13 1.86509e13i −0.150692 0.150692i
\(366\) −1.57069e13 1.11136e13i −0.125010 0.0884523i
\(367\) 2.30917e14 1.81047 0.905237 0.424908i \(-0.139693\pi\)
0.905237 + 0.424908i \(0.139693\pi\)
\(368\) −1.28723e14 1.59684e14i −0.994244 1.23338i
\(369\) −2.07288e13 −0.157736
\(370\) −3.29030e13 2.32810e13i −0.246676 0.174539i
\(371\) −1.40078e14 1.40078e14i −1.03470 1.03470i
\(372\) 1.34574e13 2.81334e13i 0.0979430 0.204756i
\(373\) −7.43352e13 + 7.43352e13i −0.533084 + 0.533084i −0.921489 0.388405i \(-0.873026\pi\)
0.388405 + 0.921489i \(0.373026\pi\)
\(374\) 4.78736e12 + 2.79538e13i 0.0338300 + 0.197537i
\(375\) 1.34027e14i 0.933297i
\(376\) −1.18020e14 3.34974e13i −0.809880 0.229868i
\(377\) 3.69098e13i 0.249611i
\(378\) −2.89644e14 + 4.96043e13i −1.93045 + 0.330609i
\(379\) 5.39364e13 5.39364e13i 0.354296 0.354296i −0.507409 0.861705i \(-0.669397\pi\)
0.861705 + 0.507409i \(0.169397\pi\)
\(380\) −6.49675e13 1.84112e14i −0.420616 1.19199i
\(381\) −1.74049e14 1.74049e14i −1.11067 1.11067i
\(382\) 3.89229e13 5.50098e13i 0.244826 0.346012i
\(383\) 1.62840e13 0.100965 0.0504823 0.998725i \(-0.483924\pi\)
0.0504823 + 0.998725i \(0.483924\pi\)
\(384\) 1.30472e14 + 5.26421e13i 0.797436 + 0.321745i
\(385\) 4.13857e14 2.49354
\(386\) 1.20136e13 1.69789e13i 0.0713583 0.100851i
\(387\) −3.64569e13 3.64569e13i −0.213486 0.213486i
\(388\) −1.78072e13 5.04640e13i −0.102806 0.291345i
\(389\) −1.00553e14 + 1.00553e14i −0.572361 + 0.572361i −0.932788 0.360426i \(-0.882631\pi\)
0.360426 + 0.932788i \(0.382631\pi\)
\(390\) −5.03970e13 + 8.63098e12i −0.282846 + 0.0484401i
\(391\) 3.54603e13i 0.196232i
\(392\) 3.99262e14 + 1.13322e14i 2.17864 + 0.618360i
\(393\) 2.50493e14i 1.34783i
\(394\) −2.34180e13 1.36740e14i −0.124257 0.725548i
\(395\) −1.14561e14 + 1.14561e14i −0.599451 + 0.599451i
\(396\) −3.52552e13 + 7.37031e13i −0.181928 + 0.380332i
\(397\) −5.36644e13 5.36644e13i −0.273110 0.273110i 0.557241 0.830351i \(-0.311860\pi\)
−0.830351 + 0.557241i \(0.811860\pi\)
\(398\) 2.51785e14 + 1.78154e14i 1.26378 + 0.894206i
\(399\) −4.65104e14 −2.30250
\(400\) −3.50211e13 4.34445e13i −0.171001 0.212131i
\(401\) 1.33118e14 0.641127 0.320563 0.947227i \(-0.396128\pi\)
0.320563 + 0.947227i \(0.396128\pi\)
\(402\) 7.34165e13 + 5.19468e13i 0.348779 + 0.246783i
\(403\) 1.55830e13 + 1.55830e13i 0.0730252 + 0.0730252i
\(404\) 1.26334e14 + 6.04308e13i 0.584015 + 0.279358i
\(405\) −8.88126e13 + 8.88126e13i −0.405016 + 0.405016i
\(406\) −4.32515e13 2.52549e14i −0.194584 1.13620i
\(407\) 1.29146e14i 0.573207i
\(408\) 1.18498e13 + 2.12422e13i 0.0518894 + 0.0930184i
\(409\) 3.22329e14i 1.39259i 0.717758 + 0.696293i \(0.245168\pi\)
−0.717758 + 0.696293i \(0.754832\pi\)
\(410\) 1.19386e14 2.04461e13i 0.508913 0.0871562i
\(411\) −1.65154e14 + 1.65154e14i −0.694640 + 0.694640i
\(412\) 1.57159e14 5.54564e13i 0.652235 0.230153i
\(413\) 5.39602e13 + 5.39602e13i 0.220978 + 0.220978i
\(414\) 5.90035e13 8.33897e13i 0.238438 0.336985i
\(415\) −1.52883e14 −0.609669
\(416\) −6.57588e13 + 7.45647e13i −0.258786 + 0.293440i
\(417\) 3.69675e14 1.43573
\(418\) −3.61325e14 + 5.10661e14i −1.38493 + 1.95733i
\(419\) −2.82378e14 2.82378e14i −1.06820 1.06820i −0.997497 0.0707064i \(-0.977475\pi\)
−0.0707064 0.997497i \(-0.522525\pi\)
\(420\) 3.34719e14 1.18112e14i 1.24971 0.440984i
\(421\) −1.97312e14 + 1.97312e14i −0.727112 + 0.727112i −0.970044 0.242931i \(-0.921891\pi\)
0.242931 + 0.970044i \(0.421891\pi\)
\(422\) 5.72131e13 9.79829e12i 0.208102 0.0356395i
\(423\) 6.11014e13i 0.219371i
\(424\) −1.99567e14 + 1.11326e14i −0.707255 + 0.394535i
\(425\) 9.64752e12i 0.0337502i
\(426\) 1.42173e13 + 8.30159e13i 0.0490979 + 0.286687i
\(427\) −6.67414e13 + 6.67414e13i −0.227532 + 0.227532i
\(428\) 5.16301e13 + 2.46968e13i 0.173765 + 0.0831188i
\(429\) 1.15844e14 + 1.15844e14i 0.384909 + 0.384909i
\(430\) 2.45931e14 + 1.74012e14i 0.806745 + 0.570823i
\(431\) 3.78445e14 1.22568 0.612840 0.790207i \(-0.290027\pi\)
0.612840 + 0.790207i \(0.290027\pi\)
\(432\) −3.61823e13 + 3.37045e14i −0.115701 + 1.07777i
\(433\) −5.87357e14 −1.85447 −0.927233 0.374485i \(-0.877820\pi\)
−0.927233 + 0.374485i \(0.877820\pi\)
\(434\) −1.24884e14 8.83635e13i −0.389327 0.275473i
\(435\) −1.07487e14 1.07487e14i −0.330876 0.330876i
\(436\) 1.28122e14 2.67848e14i 0.389448 0.814165i
\(437\) 5.53070e14 5.53070e14i 1.66009 1.66009i
\(438\) 1.22352e13 + 7.14425e13i 0.0362664 + 0.211763i
\(439\) 1.95351e14i 0.571821i −0.958256 0.285910i \(-0.907704\pi\)
0.958256 0.285910i \(-0.0922960\pi\)
\(440\) 1.30352e14 4.59263e14i 0.376815 1.32761i
\(441\) 2.06707e14i 0.590123i
\(442\) −1.69416e13 + 2.90141e12i −0.0477675 + 0.00818064i
\(443\) 3.24637e14 3.24637e14i 0.904018 0.904018i −0.0917627 0.995781i \(-0.529250\pi\)
0.995781 + 0.0917627i \(0.0292501\pi\)
\(444\) 3.68573e13 + 1.04451e14i 0.101372 + 0.287279i
\(445\) 2.34575e14 + 2.34575e14i 0.637239 + 0.637239i
\(446\) −3.17766e14 + 4.49099e14i −0.852640 + 1.20504i
\(447\) 3.88916e14 1.03078
\(448\) 3.62567e14 5.87253e14i 0.949204 1.53743i
\(449\) −4.80220e13 −0.124190 −0.0620949 0.998070i \(-0.519778\pi\)
−0.0620949 + 0.998070i \(0.519778\pi\)
\(450\) 1.60528e13 2.26875e13i 0.0410093 0.0579585i
\(451\) −2.74425e14 2.74425e14i −0.692551 0.692551i
\(452\) −2.04265e14 5.78870e14i −0.509252 1.44318i
\(453\) −4.11075e14 + 4.11075e14i −1.01247 + 1.01247i
\(454\) 3.41711e14 5.85213e13i 0.831481 0.142399i
\(455\) 2.50821e14i 0.602978i
\(456\) −1.46493e14 + 5.16132e14i −0.347945 + 1.22590i
\(457\) 5.54781e13i 0.130192i 0.997879 + 0.0650958i \(0.0207353\pi\)
−0.997879 + 0.0650958i \(0.979265\pi\)
\(458\) 7.30537e12 + 4.26567e13i 0.0169388 + 0.0989070i
\(459\) −4.14405e13 + 4.14405e13i −0.0949413 + 0.0949413i
\(460\) −2.57575e14 + 5.38476e14i −0.583089 + 1.21898i
\(461\) −2.39250e13 2.39250e13i −0.0535177 0.0535177i 0.679841 0.733359i \(-0.262049\pi\)
−0.733359 + 0.679841i \(0.762049\pi\)
\(462\) −9.28390e14 6.56895e14i −2.05211 1.45199i
\(463\) −7.76509e14 −1.69610 −0.848049 0.529918i \(-0.822223\pi\)
−0.848049 + 0.529918i \(0.822223\pi\)
\(464\) −2.93880e14 3.15484e13i −0.634338 0.0680971i
\(465\) −9.07601e13 −0.193599
\(466\) −1.07021e14 7.57240e13i −0.225603 0.159629i
\(467\) 4.52807e14 + 4.52807e14i 0.943344 + 0.943344i 0.998479 0.0551351i \(-0.0175589\pi\)
−0.0551351 + 0.998479i \(0.517559\pi\)
\(468\) −4.46683e13 2.13666e13i −0.0919702 0.0439930i
\(469\) 3.11960e14 3.11960e14i 0.634817 0.634817i
\(470\) 6.02678e13 + 3.51909e14i 0.121213 + 0.707771i
\(471\) 2.46163e14i 0.489337i
\(472\) 7.68761e13 4.28845e13i 0.151046 0.0842597i
\(473\) 9.65290e14i 1.87466i
\(474\) 4.38828e14 7.51534e13i 0.842390 0.144267i
\(475\) 1.50471e14 1.50471e14i 0.285521 0.285521i
\(476\) 1.12520e14 3.97049e13i 0.211053 0.0744741i
\(477\) −8.04782e13 8.04782e13i −0.149220 0.149220i
\(478\) −6.29790e13 + 8.90083e13i −0.115436 + 0.163146i
\(479\) 1.36724e14 0.247742 0.123871 0.992298i \(-0.460469\pi\)
0.123871 + 0.992298i \(0.460469\pi\)
\(480\) −2.56442e13 4.08644e14i −0.0459370 0.732012i
\(481\) −7.82697e13 −0.138610
\(482\) 1.76681e14 2.49703e14i 0.309336 0.437184i
\(483\) 1.00549e15 + 1.00549e15i 1.74048 + 1.74048i
\(484\) −8.91456e14 + 3.14567e14i −1.52563 + 0.538349i
\(485\) −1.10123e14 + 1.10123e14i −0.186337 + 0.186337i
\(486\) −2.98416e14 + 5.11066e13i −0.499255 + 0.0855022i
\(487\) 1.79388e14i 0.296746i −0.988931 0.148373i \(-0.952596\pi\)
0.988931 0.148373i \(-0.0474037\pi\)
\(488\) 5.30423e13 + 9.50852e13i 0.0867587 + 0.155526i
\(489\) 5.89394e14i 0.953250i
\(490\) −2.03887e14 1.19051e15i −0.326070 1.90395i
\(491\) −3.42827e14 + 3.42827e14i −0.542159 + 0.542159i −0.924161 0.382002i \(-0.875235\pi\)
0.382002 + 0.924161i \(0.375235\pi\)
\(492\) −3.00268e14 1.43630e14i −0.469570 0.224614i
\(493\) −3.61332e13 3.61332e13i −0.0558790 0.0558790i
\(494\) −3.09489e14 2.18983e14i −0.473312 0.334898i
\(495\) 2.37771e14 0.359608
\(496\) −1.37393e14 + 1.10754e14i −0.205501 + 0.165657i
\(497\) 4.13162e14 0.611167
\(498\) 3.42956e14 + 2.42663e14i 0.501738 + 0.355012i
\(499\) 1.85485e14 + 1.85485e14i 0.268383 + 0.268383i 0.828448 0.560065i \(-0.189224\pi\)
−0.560065 + 0.828448i \(0.689224\pi\)
\(500\) −3.27267e14 + 6.84173e14i −0.468347 + 0.979109i
\(501\) 2.87945e14 2.87945e14i 0.407569 0.407569i
\(502\) 1.10199e14 + 6.43464e14i 0.154280 + 0.900852i
\(503\) 3.66232e14i 0.507145i 0.967316 + 0.253572i \(0.0816056\pi\)
−0.967316 + 0.253572i \(0.918394\pi\)
\(504\) 3.30673e14 + 9.38546e13i 0.452929 + 0.128555i
\(505\) 4.07562e14i 0.552193i
\(506\) 1.88511e15 3.22843e14i 2.52644 0.432677i
\(507\) 3.88436e14 3.88436e14i 0.514963 0.514963i
\(508\) 4.63482e14 + 1.31347e15i 0.607831 + 1.72254i
\(509\) 7.50462e13 + 7.50462e13i 0.0973600 + 0.0973600i 0.754109 0.656749i \(-0.228069\pi\)
−0.656749 + 0.754109i \(0.728069\pi\)
\(510\) 4.08873e13 5.77860e13i 0.0524750 0.0741629i
\(511\) 3.55562e14 0.451441
\(512\) −5.37485e14 5.87312e14i −0.675121 0.737707i
\(513\) −1.29268e15 −1.60638
\(514\) −4.15640e14 + 5.87424e14i −0.510999 + 0.722195i
\(515\) −3.42954e14 3.42954e14i −0.417154 0.417154i
\(516\) −2.75487e14 7.80707e14i −0.331534 0.939539i
\(517\) 8.08908e14 8.08908e14i 0.963166 0.963166i
\(518\) 5.35547e14 9.17176e13i 0.630935 0.108054i
\(519\) 2.01809e14i 0.235244i
\(520\) 2.78339e14 + 7.90008e13i 0.321038 + 0.0911198i
\(521\) 8.52126e14i 0.972516i 0.873815 + 0.486258i \(0.161638\pi\)
−0.873815 + 0.486258i \(0.838362\pi\)
\(522\) −2.48490e13 1.45095e14i −0.0280621 0.163857i
\(523\) 3.84070e14 3.84070e14i 0.429192 0.429192i −0.459161 0.888353i \(-0.651850\pi\)
0.888353 + 0.459161i \(0.151850\pi\)
\(524\) −6.11654e14 + 1.27870e15i −0.676370 + 1.41399i
\(525\) 2.73559e14 + 2.73559e14i 0.299347 + 0.299347i
\(526\) −7.92497e14 5.60742e14i −0.858175 0.607213i
\(527\) −3.05102e13 −0.0326954
\(528\) −1.02138e15 + 8.23345e14i −1.08318 + 0.873163i
\(529\) −1.43851e15 −1.50975
\(530\) 5.42889e14 + 3.84128e14i 0.563889 + 0.398987i
\(531\) 3.10014e13 + 3.10014e13i 0.0318685 + 0.0318685i
\(532\) 2.37424e15 + 1.13569e15i 2.41552 + 1.15544i
\(533\) 1.66317e14 1.66317e14i 0.167470 0.167470i
\(534\) −1.53884e14 8.98544e14i −0.153362 0.895493i
\(535\) 1.66562e14i 0.164297i
\(536\) −2.47928e14 4.44444e14i −0.242058 0.433921i
\(537\) 2.52864e14i 0.244359i
\(538\) −1.13103e15 + 1.93700e14i −1.08186 + 0.185279i
\(539\) −2.73655e15 + 2.73655e15i −2.59098 + 2.59098i
\(540\) 9.30301e14 3.28274e14i 0.871882 0.307660i
\(541\) 1.73890e13 + 1.73890e13i 0.0161320 + 0.0161320i 0.715127 0.698995i \(-0.246369\pi\)
−0.698995 + 0.715127i \(0.746369\pi\)
\(542\) 4.42994e14 6.26084e14i 0.406820 0.574959i
\(543\) −7.25612e14 −0.659637
\(544\) −8.62063e12 1.37371e14i −0.00775792 0.123623i
\(545\) −8.64092e14 −0.769803
\(546\) 3.98115e14 5.62657e14i 0.351115 0.496231i
\(547\) 1.23494e15 + 1.23494e15i 1.07824 + 1.07824i 0.996667 + 0.0815740i \(0.0259947\pi\)
0.0815740 + 0.996667i \(0.474005\pi\)
\(548\) 1.24634e15 4.39796e14i 1.07732 0.380153i
\(549\) −3.83445e13 + 3.83445e13i −0.0328137 + 0.0328137i
\(550\) 5.12874e14 8.78346e13i 0.434526 0.0744167i
\(551\) 1.12713e15i 0.945454i
\(552\) 1.43250e15 7.99107e14i 1.18968 0.663651i
\(553\) 2.18400e15i 1.79583i
\(554\) −7.37631e13 4.30710e14i −0.0600531 0.350656i
\(555\) 2.27934e14 2.27934e14i 0.183737 0.183737i
\(556\) −1.88710e15 9.02674e14i −1.50620 0.720476i
\(557\) −1.19349e15 1.19349e15i −0.943223 0.943223i 0.0552494 0.998473i \(-0.482405\pi\)
−0.998473 + 0.0552494i \(0.982405\pi\)
\(558\) −7.17488e13 5.07669e13i −0.0561470 0.0397276i
\(559\) 5.85021e14 0.453321
\(560\) −1.99706e15 2.14387e14i −1.53235 0.164500i
\(561\) −2.26813e14 −0.172334
\(562\) 1.60550e15 + 1.13599e15i 1.20798 + 0.854723i
\(563\) −5.15004e14 5.15004e14i −0.383720 0.383720i 0.488720 0.872440i \(-0.337464\pi\)
−0.872440 + 0.488720i \(0.837464\pi\)
\(564\) 4.23371e14 8.85085e14i 0.312382 0.653055i
\(565\) −1.26322e15 + 1.26322e15i −0.923023 + 0.923023i
\(566\) 2.24246e14 + 1.30939e15i 0.162269 + 0.947502i
\(567\) 1.69313e15i 1.21334i
\(568\) 1.30133e14 4.58490e14i 0.0923573 0.325398i
\(569\) 1.36483e15i 0.959315i 0.877456 + 0.479657i \(0.159239\pi\)
−0.877456 + 0.479657i \(0.840761\pi\)
\(570\) 1.53900e15 2.63568e14i 1.07134 0.183477i
\(571\) 1.77410e15 1.77410e15i 1.22315 1.22315i 0.256639 0.966507i \(-0.417385\pi\)
0.966507 0.256639i \(-0.0826150\pi\)
\(572\) −3.08485e14 8.74222e14i −0.210648 0.596957i
\(573\) 3.81077e14 + 3.81077e14i 0.257729 + 0.257729i
\(574\) −9.43102e14 + 1.33289e15i −0.631747 + 0.892849i
\(575\) −6.50596e14 −0.431656
\(576\) 2.08303e14 3.37391e14i 0.136890 0.221722i
\(577\) 3.65991e14 0.238234 0.119117 0.992880i \(-0.461994\pi\)
0.119117 + 0.992880i \(0.461994\pi\)
\(578\) −8.82093e14 + 1.24666e15i −0.568737 + 0.803796i
\(579\) 1.17620e14 + 1.17620e14i 0.0751191 + 0.0751191i
\(580\) 2.86232e14 + 8.11157e14i 0.181077 + 0.513158i
\(581\) 1.45728e15 1.45728e15i 0.913220 0.913220i
\(582\) 4.21828e14 7.22421e13i 0.261854 0.0448450i
\(583\) 2.13087e15i 1.31032i
\(584\) 1.11991e14 3.94572e14i 0.0682201 0.240356i
\(585\) 1.44102e14i 0.0869589i
\(586\) −5.03964e13 2.94269e14i −0.0301275 0.175917i
\(587\) −1.82609e15 + 1.82609e15i −1.08146 + 1.08146i −0.0850900 + 0.996373i \(0.527118\pi\)
−0.996373 + 0.0850900i \(0.972882\pi\)
\(588\) −1.43227e15 + 2.99425e15i −0.840331 + 1.75676i
\(589\) −4.75864e14 4.75864e14i −0.276598 0.276598i
\(590\) −2.09129e14 1.47972e14i −0.120428 0.0852105i
\(591\) 1.10949e15 0.632981
\(592\) 6.69005e13 6.23192e14i 0.0378146 0.352251i
\(593\) 3.34557e15 1.87357 0.936784 0.349909i \(-0.113787\pi\)
0.936784 + 0.349909i \(0.113787\pi\)
\(594\) −2.58032e15 1.82574e15i −1.43169 1.01301i
\(595\) −2.45543e14 2.45543e14i −0.134985 0.134985i
\(596\) −1.98532e15 9.49657e14i −1.08137 0.517264i
\(597\) −1.74422e15 + 1.74422e15i −0.941333 + 0.941333i
\(598\) 1.95661e14 + 1.14248e15i 0.104628 + 0.610933i
\(599\) 3.39597e15i 1.79935i 0.436556 + 0.899677i \(0.356198\pi\)
−0.436556 + 0.899677i \(0.643802\pi\)
\(600\) 3.89735e14 2.17409e14i 0.204615 0.114142i
\(601\) 3.43538e15i 1.78717i 0.448898 + 0.893583i \(0.351817\pi\)
−0.448898 + 0.893583i \(0.648183\pi\)
\(602\) −4.00290e15 + 6.85536e14i −2.06345 + 0.353386i
\(603\) 1.79228e14 1.79228e14i 0.0915507 0.0915507i
\(604\) 3.10220e15 1.09467e15i 1.57024 0.554089i
\(605\) 1.94535e15 + 1.94535e15i 0.975760 + 0.975760i
\(606\) −6.46902e14 + 9.14268e14i −0.321543 + 0.454437i
\(607\) 1.96296e14 0.0966884 0.0483442 0.998831i \(-0.484606\pi\)
0.0483442 + 0.998831i \(0.484606\pi\)
\(608\) 2.00810e15 2.27701e15i 0.980203 1.11146i
\(609\) 2.04914e15 0.991236
\(610\) 1.83021e14 2.58664e14i 0.0877378 0.124000i
\(611\) 4.90244e14 + 4.90244e14i 0.232909 + 0.232909i
\(612\) 6.46455e13 2.28114e13i 0.0304372 0.0107403i
\(613\) 1.99692e15 1.99692e15i 0.931813 0.931813i −0.0660064 0.997819i \(-0.521026\pi\)
0.997819 + 0.0660064i \(0.0210258\pi\)
\(614\) −1.30941e15 + 2.24248e14i −0.605547 + 0.103706i
\(615\) 9.68681e14i 0.443984i
\(616\) 3.13519e15 + 5.62023e15i 1.42419 + 2.55305i
\(617\) 2.13465e15i 0.961079i −0.876973 0.480539i \(-0.840441\pi\)
0.876973 0.480539i \(-0.159559\pi\)
\(618\) 2.24982e14 + 1.31369e15i 0.100395 + 0.586214i
\(619\) 1.66182e15 1.66182e15i 0.734998 0.734998i −0.236608 0.971605i \(-0.576036\pi\)
0.971605 + 0.236608i \(0.0760356\pi\)
\(620\) 4.63307e14 + 2.21618e14i 0.203102 + 0.0971519i
\(621\) 2.79460e15 + 2.79460e15i 1.21427 + 1.21427i
\(622\) −2.52175e15 1.78430e15i −1.08606 0.768457i
\(623\) −4.47196e15 −1.90903
\(624\) −4.98993e14 6.19013e14i −0.211144 0.261930i
\(625\) 1.55756e15 0.653287
\(626\) 2.43171e15 + 1.72059e15i 1.01100 + 0.715350i
\(627\) −3.53757e15 3.53757e15i −1.45792 1.45792i
\(628\) −6.01082e14 + 1.25660e15i −0.245559 + 0.513357i
\(629\) 7.66229e13 7.66229e13i 0.0310299 0.0310299i
\(630\) −1.68861e14 9.85996e14i −0.0677887 0.395824i
\(631\) 1.28852e15i 0.512778i 0.966574 + 0.256389i \(0.0825328\pi\)
−0.966574 + 0.256389i \(0.917467\pi\)
\(632\) −2.42361e15 6.87892e14i −0.956135 0.271379i
\(633\) 4.64217e14i 0.181552i
\(634\) 1.05673e15 1.80975e14i 0.409707 0.0701662i
\(635\) 2.86627e15 2.86627e15i 1.10170 1.10170i
\(636\) −6.08134e14 1.72340e15i −0.231732 0.656708i
\(637\) −1.65850e15 1.65850e15i −0.626541 0.626541i
\(638\) 1.59192e15 2.24986e15i 0.596220 0.842638i
\(639\) 2.37371e14 0.0881399
\(640\) −8.66921e14 + 2.14864e15i −0.319146 + 0.790995i
\(641\) −2.37556e15 −0.867055 −0.433528 0.901140i \(-0.642731\pi\)
−0.433528 + 0.901140i \(0.642731\pi\)
\(642\) −2.64375e14 + 3.73641e14i −0.0956704 + 0.135211i
\(643\) −3.12329e15 3.12329e15i −1.12060 1.12060i −0.991651 0.128951i \(-0.958839\pi\)
−0.128951 0.991651i \(-0.541161\pi\)
\(644\) −2.67756e15 7.58798e15i −0.952504 2.69932i
\(645\) −1.70367e15 + 1.70367e15i −0.600907 + 0.600907i
\(646\) 5.17353e14 8.86017e13i 0.180929 0.0309858i
\(647\) 2.99929e15i 1.04003i 0.854158 + 0.520014i \(0.174073\pi\)
−0.854158 + 0.520014i \(0.825927\pi\)
\(648\) −1.87889e15 5.33282e14i −0.646008 0.183356i
\(649\) 8.20841e14i 0.279842i
\(650\) 5.32327e13 + 3.10831e14i 0.0179951 + 0.105075i
\(651\) 8.65128e14 8.65128e14i 0.289991 0.289991i
\(652\) 1.43918e15 3.00870e15i 0.478360 1.00004i
\(653\) 1.19197e15 + 1.19197e15i 0.392866 + 0.392866i 0.875708 0.482842i \(-0.160395\pi\)
−0.482842 + 0.875708i \(0.660395\pi\)
\(654\) 1.93839e15 + 1.37153e15i 0.633523 + 0.448258i
\(655\) 4.12517e15 1.33695
\(656\) 1.18207e15 + 1.46639e15i 0.379904 + 0.471279i
\(657\) 2.04279e14 0.0651049
\(658\) −3.92889e15 2.77994e15i −1.24173 0.878602i
\(659\) 2.22810e15 + 2.22810e15i 0.698337 + 0.698337i 0.964052 0.265715i \(-0.0856079\pi\)
−0.265715 + 0.964052i \(0.585608\pi\)
\(660\) 3.44423e15 + 1.64751e15i 1.07053 + 0.512079i
\(661\) −1.31704e15 + 1.31704e15i −0.405967 + 0.405967i −0.880330 0.474362i \(-0.842679\pi\)
0.474362 + 0.880330i \(0.342679\pi\)
\(662\) 3.16451e14 + 1.84779e15i 0.0967360 + 0.564850i
\(663\) 1.37461e14i 0.0416732i
\(664\) −1.15817e15 2.07617e15i −0.348215 0.624220i
\(665\) 7.65942e15i 2.28390i
\(666\) 3.07684e14 5.26939e13i 0.0909907 0.0155830i
\(667\) −2.43670e15 + 2.43670e15i −0.714677 + 0.714677i
\(668\) −2.17299e15 + 7.66780e14i −0.632102 + 0.223049i
\(669\) −3.11111e15 3.11111e15i −0.897576 0.897576i
\(670\) −8.55471e14 + 1.20904e15i −0.244790 + 0.345962i
\(671\) −1.01527e15 −0.288142
\(672\) 4.13965e15 + 3.65076e15i 1.16529 + 1.02767i
\(673\) 1.44297e14 0.0402879 0.0201439 0.999797i \(-0.493588\pi\)
0.0201439 + 0.999797i \(0.493588\pi\)
\(674\) −2.11386e15 + 2.98752e15i −0.585392 + 0.827335i
\(675\) 7.60315e14 + 7.60315e14i 0.208845 + 0.208845i
\(676\) −2.93135e15 + 1.03438e15i −0.798658 + 0.281821i
\(677\) −1.26299e14 + 1.26299e14i −0.0341320 + 0.0341320i −0.723967 0.689835i \(-0.757683\pi\)
0.689835 + 0.723967i \(0.257683\pi\)
\(678\) 4.83878e15 8.28687e14i 1.29710 0.222140i
\(679\) 2.09940e15i 0.558227i
\(680\) −3.49821e14 + 1.95144e14i −0.0922671 + 0.0514703i
\(681\) 2.77259e15i 0.725398i
\(682\) −2.77776e14 1.62196e15i −0.0720909 0.420945i
\(683\) −2.21846e14 + 2.21846e14i −0.0571133 + 0.0571133i −0.735087 0.677973i \(-0.762859\pi\)
0.677973 + 0.735087i \(0.262859\pi\)
\(684\) 1.36405e15 + 6.52481e14i 0.348356 + 0.166632i
\(685\) −2.71979e15 2.71979e15i −0.689029 0.689029i
\(686\) 7.42247e15 + 5.25187e15i 1.86537 + 1.31987i
\(687\) −3.46109e14 −0.0862882
\(688\) −5.00042e14 + 4.65799e15i −0.123672 + 1.15203i
\(689\) 1.29143e15 0.316857
\(690\) −3.89689e15 2.75730e15i −0.948524 0.671141i
\(691\) −4.10228e15 4.10228e15i −0.990596 0.990596i 0.00936034 0.999956i \(-0.497020\pi\)
−0.999956 + 0.00936034i \(0.997020\pi\)
\(692\) −4.92777e14 + 1.03018e15i −0.118050 + 0.246791i
\(693\) −2.26644e15 + 2.26644e15i −0.538655 + 0.538655i
\(694\) −7.92300e14 4.62631e15i −0.186815 1.09083i
\(695\) 6.08788e15i 1.42413i
\(696\) 6.45416e14 2.27396e15i 0.149792 0.527754i
\(697\) 3.25635e14i 0.0749808i
\(698\) 1.85242e15 3.17244e14i 0.423189 0.0724752i
\(699\) 7.41381e14 7.41381e14i 0.168042 0.168042i
\(700\) −7.28472e14 2.06443e15i −0.163822 0.464259i
\(701\) −3.04410e15 3.04410e15i −0.679218 0.679218i 0.280605 0.959823i \(-0.409465\pi\)
−0.959823 + 0.280605i \(0.909465\pi\)
\(702\) 1.10650e15 1.56382e15i 0.244961 0.346204i
\(703\) 2.39016e15 0.525015
\(704\) 7.22432e15 1.70896e15i 1.57452 0.372462i
\(705\) −2.85533e15 −0.617471
\(706\) 1.50604e15 2.12849e15i 0.323155 0.456715i
\(707\) 3.88489e15 + 3.88489e15i 0.827127 + 0.827127i
\(708\) 2.34262e14 + 6.63879e14i 0.0494902 + 0.140251i
\(709\) −4.62095e15 + 4.62095e15i −0.968672 + 0.968672i −0.999524 0.0308521i \(-0.990178\pi\)
0.0308521 + 0.999524i \(0.490178\pi\)
\(710\) −1.36712e15 + 2.34133e14i −0.284372 + 0.0487014i
\(711\) 1.25476e15i 0.258987i
\(712\) −1.40853e15 + 4.96259e15i −0.288486 + 1.01641i
\(713\) 2.05750e15i 0.418165i
\(714\) 1.61079e14 + 9.40557e14i 0.0324863 + 0.189690i
\(715\) −1.90774e15 + 1.90774e15i −0.381800 + 0.381800i
\(716\) 6.17443e14 1.29080e15i 0.122624 0.256353i
\(717\) −6.16600e14 6.16600e14i −0.121520 0.121520i
\(718\) 5.54540e15 + 3.92372e15i 1.08455 + 0.767386i
\(719\) −1.71684e12 −0.000333212 −0.000166606 1.00000i \(-0.500053\pi\)
−0.000166606 1.00000i \(0.500053\pi\)
\(720\) −1.14736e15 1.23171e14i −0.220989 0.0237235i
\(721\) 6.53810e15 1.24971
\(722\) 5.14757e15 + 3.64223e15i 0.976444 + 0.690896i
\(723\) 1.72980e15 + 1.72980e15i 0.325638 + 0.325638i
\(724\) 3.70406e15 + 1.77180e15i 0.692016 + 0.331019i
\(725\) −6.62942e14 + 6.62942e14i −0.122918 + 0.122918i
\(726\) −1.27617e15 7.45168e15i −0.234832 1.37121i
\(727\) 5.86270e14i 0.107068i −0.998566 0.0535339i \(-0.982951\pi\)
0.998566 0.0535339i \(-0.0170485\pi\)
\(728\) −3.40618e15 + 1.90010e15i −0.617368 + 0.344393i
\(729\) 6.15434e15i 1.10708i
\(730\) −1.17653e15 + 2.01492e14i −0.210052 + 0.0359734i
\(731\) −5.72711e14 + 5.72711e14i −0.101482 + 0.101482i
\(732\) −8.21128e14 + 2.89750e14i −0.144411 + 0.0509581i
\(733\) −3.03937e15 3.03937e15i −0.530531 0.530531i 0.390199 0.920731i \(-0.372406\pi\)
−0.920731 + 0.390199i \(0.872406\pi\)
\(734\) 6.03597e15 8.53064e15i 1.04573 1.47793i
\(735\) 9.65964e15 1.66104
\(736\) −9.26382e15 + 5.81346e14i −1.58111 + 0.0992217i
\(737\) 4.74553e15 0.803921
\(738\) −5.41834e14 + 7.65774e14i −0.0911079 + 0.128763i
\(739\) 3.93959e15 + 3.93959e15i 0.657516 + 0.657516i 0.954792 0.297276i \(-0.0960781\pi\)
−0.297276 + 0.954792i \(0.596078\pi\)
\(740\) −1.72011e15 + 6.06974e14i −0.284959 + 0.100553i
\(741\) 2.14397e15 2.14397e15i 0.352548 0.352548i
\(742\) −8.83636e15 + 1.51331e15i −1.44229 + 0.247006i
\(743\) 1.16532e15i 0.188803i −0.995534 0.0944013i \(-0.969906\pi\)
0.995534 0.0944013i \(-0.0300937\pi\)
\(744\) −6.87555e14 1.23253e15i −0.110575 0.198220i
\(745\) 6.40475e15i 1.02245i
\(746\) 8.03068e14 + 4.68918e15i 0.127259 + 0.743077i
\(747\) 8.37243e14 8.37243e14i 0.131701 0.131701i
\(748\) 1.15782e15 + 5.53832e14i 0.180794 + 0.0864808i
\(749\) 1.58767e15 + 1.58767e15i 0.246099 + 0.246099i
\(750\) −4.95128e15 3.50335e15i −0.761870 0.539071i
\(751\) −7.91358e15 −1.20880 −0.604399 0.796682i \(-0.706587\pi\)
−0.604399 + 0.796682i \(0.706587\pi\)
\(752\) −4.32241e15 + 3.48434e15i −0.655432 + 0.528351i
\(753\) −5.22096e15 −0.785919
\(754\) 1.36354e15 + 9.64791e14i 0.203763 + 0.144175i
\(755\) −6.76966e15 6.76966e15i −1.00429 1.00429i
\(756\) −5.73854e15 + 1.19968e16i −0.845145 + 1.76683i
\(757\) 4.02992e15 4.02992e15i 0.589209 0.589209i −0.348208 0.937417i \(-0.613210\pi\)
0.937417 + 0.348208i \(0.113210\pi\)
\(758\) −5.82693e14 3.40240e15i −0.0845783 0.493861i
\(759\) 1.52955e16i 2.20411i
\(760\) −8.49976e15 2.41248e15i −1.21599 0.345135i
\(761\) 7.01563e15i