Properties

Label 12.16.b.a.11.3
Level 12
Weight 16
Character 12.11
Analytic conductor 17.123
Analytic rank 0
Dimension 28
CM No

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Newspace parameters

Level: \( N \) = \( 12 = 2^{2} \cdot 3 \)
Weight: \( k \) = \( 16 \)
Character orbit: \([\chi]\) = 12.b (of order \(2\) and degree \(1\))

Newform invariants

Self dual: No
Analytic conductor: \(17.123220612\)
Analytic rank: \(0\)
Dimension: \(28\)
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 11.3
Character \(\chi\) = 12.11
Dual form 12.16.b.a.11.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-171.504 - 57.9158i) q^{2} +(-3751.22 - 526.541i) q^{3} +(26059.5 + 19865.6i) q^{4} +172529. i q^{5} +(612856. + 307559. i) q^{6} -3.89480e6i q^{7} +(-3.31879e6 - 4.91630e6i) q^{8} +(1.37944e7 + 3.95035e6i) q^{9} +O(q^{10})\) \(q+(-171.504 - 57.9158i) q^{2} +(-3751.22 - 526.541i) q^{3} +(26059.5 + 19865.6i) q^{4} +172529. i q^{5} +(612856. + 307559. i) q^{6} -3.89480e6i q^{7} +(-3.31879e6 - 4.91630e6i) q^{8} +(1.37944e7 + 3.95035e6i) q^{9} +(9.99218e6 - 2.95896e7i) q^{10} +4.37602e7 q^{11} +(-8.72949e7 - 8.82418e7i) q^{12} -4.08923e7 q^{13} +(-2.25570e8 + 6.67975e8i) q^{14} +(9.08439e7 - 6.47196e8i) q^{15} +(2.84455e8 + 1.03538e9i) q^{16} -1.05000e9i q^{17} +(-2.13702e9 - 1.47642e9i) q^{18} +4.29470e9i q^{19} +(-3.42741e9 + 4.49603e9i) q^{20} +(-2.05077e9 + 1.46103e10i) q^{21} +(-7.50507e9 - 2.53441e9i) q^{22} -2.27826e10 q^{23} +(9.86087e9 + 2.01896e10i) q^{24} +7.51168e8 q^{25} +(7.01322e9 + 2.36831e9i) q^{26} +(-4.96659e10 - 2.20819e10i) q^{27} +(7.73726e10 - 1.01497e11i) q^{28} +1.81630e10i q^{29} +(-5.30630e10 + 1.05736e11i) q^{30} +1.17167e11i q^{31} +(1.11794e10 - 1.94046e11i) q^{32} +(-1.64154e11 - 2.30416e10i) q^{33} +(-6.08114e10 + 1.80079e11i) q^{34} +6.71968e11 q^{35} +(2.81000e11 + 3.76979e11i) q^{36} -1.02702e12 q^{37} +(2.48731e11 - 7.36559e11i) q^{38} +(1.53396e11 + 2.15315e10i) q^{39} +(8.48207e11 - 5.72589e11i) q^{40} -1.37636e12i q^{41} +(1.19788e12 - 2.38695e12i) q^{42} +7.55931e11i q^{43} +(1.14037e12 + 8.69324e11i) q^{44} +(-6.81551e11 + 2.37994e12i) q^{45} +(3.90731e12 + 1.31947e12i) q^{46} -2.91641e12 q^{47} +(-5.21886e11 - 4.03371e12i) q^{48} -1.04219e13 q^{49} +(-1.28829e11 - 4.35045e10i) q^{50} +(-5.52866e11 + 3.93877e12i) q^{51} +(-1.06563e12 - 8.12352e11i) q^{52} +1.31652e13i q^{53} +(7.23902e12 + 6.66359e12i) q^{54} +7.54993e12i q^{55} +(-1.91480e13 + 1.29260e13i) q^{56} +(2.26133e12 - 1.61104e13i) q^{57} +(1.05193e12 - 3.11504e12i) q^{58} -1.15444e12 q^{59} +(1.52243e13 - 1.50609e13i) q^{60} -1.08094e13 q^{61} +(6.78581e12 - 2.00946e13i) q^{62} +(1.53858e13 - 5.37265e13i) q^{63} +(-1.31557e13 + 3.26323e13i) q^{64} -7.05513e12i q^{65} +(2.68187e13 + 1.34589e13i) q^{66} +5.22313e13i q^{67} +(2.08588e13 - 2.73624e13i) q^{68} +(8.54625e13 + 1.19960e13i) q^{69} +(-1.15245e14 - 3.89175e13i) q^{70} +2.62413e12 q^{71} +(-2.63597e13 - 8.09279e13i) q^{72} +3.29769e13 q^{73} +(1.76139e14 + 5.94810e13i) q^{74} +(-2.81780e12 - 3.95521e11i) q^{75} +(-8.53168e13 + 1.11918e14i) q^{76} -1.70437e14i q^{77} +(-2.50611e13 - 1.25768e13i) q^{78} -1.56201e14i q^{79} +(-1.78633e14 + 4.90769e13i) q^{80} +(1.74681e14 + 1.08985e14i) q^{81} +(-7.97132e13 + 2.36053e14i) q^{82} -3.43200e13 q^{83} +(-3.43684e14 + 3.39996e14i) q^{84} +1.81155e14 q^{85} +(4.37804e13 - 1.29645e14i) q^{86} +(9.56359e12 - 6.81336e13i) q^{87} +(-1.45231e14 - 2.15138e14i) q^{88} +5.29425e14i q^{89} +(2.54725e14 - 3.68698e14i) q^{90} +1.59268e14i q^{91} +(-5.93703e14 - 4.52590e14i) q^{92} +(6.16932e13 - 4.39519e14i) q^{93} +(5.00177e14 + 1.68906e14i) q^{94} -7.40962e14 q^{95} +(-1.44110e14 + 7.22024e14i) q^{96} -9.09865e14 q^{97} +(1.78740e15 + 6.03593e14i) q^{98} +(6.03647e14 + 1.72868e14i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q + 26968q^{4} + 823656q^{6} - 3812052q^{9} + O(q^{10}) \) \( 28q + 26968q^{4} + 823656q^{6} - 3812052q^{9} - 43831600q^{10} - 226414248q^{12} + 124527272q^{13} - 1459325408q^{16} - 4234777584q^{18} - 7261350648q^{21} - 2533670160q^{22} - 18487781856q^{24} - 146804950740q^{25} + 5481093840q^{28} + 8237058960q^{30} + 204574669728q^{33} + 450165745472q^{34} + 232631927160q^{36} + 386069193224q^{37} + 1945471012160q^{40} + 1938106219632q^{42} - 5007113912640q^{45} + 2270790222432q^{46} + 5846474725152q^{48} - 18480860963084q^{49} - 6113229405424q^{52} + 1626598700568q^{54} + 8085872464056q^{57} - 19395437098192q^{58} - 10924219377600q^{60} - 16392792556696q^{61} + 21633892829056q^{64} + 4928819126448q^{66} + 137029869973056q^{69} + 91772543171040q^{70} + 66924493142592q^{72} + 158451626683736q^{73} - 205265768291280q^{76} + 58364283489648q^{78} + 116126816635836q^{81} - 750029796726880q^{82} - 92605433207856q^{84} - 30099357052160q^{85} - 619691835246912q^{88} - 471443548913520q^{90} - 777661615138584q^{93} + 1301107064491200q^{94} + 525428335287168q^{96} - 824166397720648q^{97} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(7\)
\(\chi(n)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −171.504 57.9158i −0.947437 0.319943i
\(3\) −3751.22 526.541i −0.990292 0.139003i
\(4\) 26059.5 + 19865.6i 0.795273 + 0.606251i
\(5\) 172529.i 0.987616i 0.869571 + 0.493808i \(0.164395\pi\)
−0.869571 + 0.493808i \(0.835605\pi\)
\(6\) 612856. + 307559.i 0.893766 + 0.448533i
\(7\) 3.89480e6i 1.78752i −0.448550 0.893758i \(-0.648059\pi\)
0.448550 0.893758i \(-0.351941\pi\)
\(8\) −3.31879e6 4.91630e6i −0.559506 0.828826i
\(9\) 1.37944e7 + 3.95035e6i 0.961357 + 0.275306i
\(10\) 9.99218e6 2.95896e7i 0.315981 0.935704i
\(11\) 4.37602e7 0.677071 0.338536 0.940954i \(-0.390068\pi\)
0.338536 + 0.940954i \(0.390068\pi\)
\(12\) −8.72949e7 8.82418e7i −0.703282 0.710911i
\(13\) −4.08923e7 −0.180745 −0.0903726 0.995908i \(-0.528806\pi\)
−0.0903726 + 0.995908i \(0.528806\pi\)
\(14\) −2.25570e8 + 6.67975e8i −0.571902 + 1.69356i
\(15\) 9.08439e7 6.47196e8i 0.137281 0.978028i
\(16\) 2.84455e8 + 1.03538e9i 0.264920 + 0.964271i
\(17\) 1.05000e9i 0.620613i −0.950637 0.310307i \(-0.899568\pi\)
0.950637 0.310307i \(-0.100432\pi\)
\(18\) −2.13702e9 1.47642e9i −0.822742 0.568414i
\(19\) 4.29470e9i 1.10225i 0.834422 + 0.551125i \(0.185801\pi\)
−0.834422 + 0.551125i \(0.814199\pi\)
\(20\) −3.42741e9 + 4.49603e9i −0.598743 + 0.785425i
\(21\) −2.05077e9 + 1.46103e10i −0.248469 + 1.77016i
\(22\) −7.50507e9 2.53441e9i −0.641482 0.216624i
\(23\) −2.27826e10 −1.39522 −0.697612 0.716475i \(-0.745754\pi\)
−0.697612 + 0.716475i \(0.745754\pi\)
\(24\) 9.86087e9 + 2.01896e10i 0.438865 + 0.898553i
\(25\) 7.51168e8 0.0246143
\(26\) 7.01322e9 + 2.36831e9i 0.171245 + 0.0578281i
\(27\) −4.96659e10 2.20819e10i −0.913755 0.406265i
\(28\) 7.73726e10 1.01497e11i 1.08368 1.42156i
\(29\) 1.81630e10i 0.195526i 0.995210 + 0.0977628i \(0.0311686\pi\)
−0.995210 + 0.0977628i \(0.968831\pi\)
\(30\) −5.30630e10 + 1.05736e11i −0.442978 + 0.882698i
\(31\) 1.17167e11i 0.764878i 0.923981 + 0.382439i \(0.124916\pi\)
−0.923981 + 0.382439i \(0.875084\pi\)
\(32\) 1.11794e10 1.94046e11i 0.0575167 0.998345i
\(33\) −1.64154e11 2.30416e10i −0.670498 0.0941147i
\(34\) −6.08114e10 + 1.80079e11i −0.198561 + 0.587992i
\(35\) 6.71968e11 1.76538
\(36\) 2.81000e11 + 3.76979e11i 0.597637 + 0.801767i
\(37\) −1.02702e12 −1.77856 −0.889279 0.457366i \(-0.848793\pi\)
−0.889279 + 0.457366i \(0.848793\pi\)
\(38\) 2.48731e11 7.36559e11i 0.352657 1.04431i
\(39\) 1.53396e11 + 2.15315e10i 0.178991 + 0.0251241i
\(40\) 8.48207e11 5.72589e11i 0.818562 0.552577i
\(41\) 1.37636e12i 1.10371i −0.833940 0.551854i \(-0.813920\pi\)
0.833940 0.551854i \(-0.186080\pi\)
\(42\) 1.19788e12 2.38695e12i 0.801759 1.59762i
\(43\) 7.55931e11i 0.424100i 0.977259 + 0.212050i \(0.0680140\pi\)
−0.977259 + 0.212050i \(0.931986\pi\)
\(44\) 1.14037e12 + 8.69324e11i 0.538457 + 0.410475i
\(45\) −6.81551e11 + 2.37994e12i −0.271897 + 0.949451i
\(46\) 3.90731e12 + 1.31947e12i 1.32189 + 0.446392i
\(47\) −2.91641e12 −0.839681 −0.419840 0.907598i \(-0.637914\pi\)
−0.419840 + 0.907598i \(0.637914\pi\)
\(48\) −5.21886e11 4.03371e12i −0.128312 0.991734i
\(49\) −1.04219e13 −2.19521
\(50\) −1.28829e11 4.35045e10i −0.0233205 0.00787516i
\(51\) −5.52866e11 + 3.93877e12i −0.0862668 + 0.614588i
\(52\) −1.06563e12 8.12352e11i −0.143742 0.109577i
\(53\) 1.31652e13i 1.53942i 0.638394 + 0.769710i \(0.279599\pi\)
−0.638394 + 0.769710i \(0.720401\pi\)
\(54\) 7.23902e12 + 6.66359e12i 0.735744 + 0.677260i
\(55\) 7.54993e12i 0.668687i
\(56\) −1.91480e13 + 1.29260e13i −1.48154 + 1.00013i
\(57\) 2.26133e12 1.61104e13i 0.153216 1.09155i
\(58\) 1.05193e12 3.11504e12i 0.0625570 0.185248i
\(59\) −1.15444e12 −0.0603922 −0.0301961 0.999544i \(-0.509613\pi\)
−0.0301961 + 0.999544i \(0.509613\pi\)
\(60\) 1.52243e13 1.50609e13i 0.702107 0.694573i
\(61\) −1.08094e13 −0.440380 −0.220190 0.975457i \(-0.570668\pi\)
−0.220190 + 0.975457i \(0.570668\pi\)
\(62\) 6.78581e12 2.00946e13i 0.244717 0.724673i
\(63\) 1.53858e13 5.37265e13i 0.492114 1.71844i
\(64\) −1.31557e13 + 3.26323e13i −0.373906 + 0.927466i
\(65\) 7.05513e12i 0.178507i
\(66\) 2.68187e13 + 1.34589e13i 0.605143 + 0.303689i
\(67\) 5.22313e13i 1.05286i 0.850219 + 0.526429i \(0.176469\pi\)
−0.850219 + 0.526429i \(0.823531\pi\)
\(68\) 2.08588e13 2.73624e13i 0.376247 0.493557i
\(69\) 8.54625e13 + 1.19960e13i 1.38168 + 0.193940i
\(70\) −1.15245e14 3.89175e13i −1.67259 0.564820i
\(71\) 2.62413e12 0.0342411 0.0171206 0.999853i \(-0.494550\pi\)
0.0171206 + 0.999853i \(0.494550\pi\)
\(72\) −2.63597e13 8.09279e13i −0.309703 0.950833i
\(73\) 3.29769e13 0.349372 0.174686 0.984624i \(-0.444109\pi\)
0.174686 + 0.984624i \(0.444109\pi\)
\(74\) 1.76139e14 + 5.94810e13i 1.68507 + 0.569036i
\(75\) −2.81780e12 3.95521e11i −0.0243753 0.00342145i
\(76\) −8.53168e13 + 1.11918e14i −0.668241 + 0.876591i
\(77\) 1.70437e14i 1.21028i
\(78\) −2.50611e13 1.25768e13i −0.161544 0.0810702i
\(79\) 1.56201e14i 0.915123i −0.889178 0.457562i \(-0.848723\pi\)
0.889178 0.457562i \(-0.151277\pi\)
\(80\) −1.78633e14 + 4.90769e13i −0.952329 + 0.261639i
\(81\) 1.74681e14 + 1.08985e14i 0.848413 + 0.529335i
\(82\) −7.97132e13 + 2.36053e14i −0.353124 + 1.04569i
\(83\) −3.43200e13 −0.138823 −0.0694115 0.997588i \(-0.522112\pi\)
−0.0694115 + 0.997588i \(0.522112\pi\)
\(84\) −3.43684e14 + 3.39996e14i −1.27076 + 1.25713i
\(85\) 1.81155e14 0.612927
\(86\) 4.37804e13 1.29645e14i 0.135688 0.401808i
\(87\) 9.56359e12 6.81336e13i 0.0271786 0.193627i
\(88\) −1.45231e14 2.15138e14i −0.378825 0.561175i
\(89\) 5.29425e14i 1.26876i 0.773022 + 0.634379i \(0.218744\pi\)
−0.773022 + 0.634379i \(0.781256\pi\)
\(90\) 2.54725e14 3.68698e14i 0.561375 0.812554i
\(91\) 1.59268e14i 0.323085i
\(92\) −5.93703e14 4.52590e14i −1.10959 0.845856i
\(93\) 6.16932e13 4.39519e14i 0.106320 0.757452i
\(94\) 5.00177e14 + 1.68906e14i 0.795545 + 0.268650i
\(95\) −7.40962e14 −1.08860
\(96\) −1.44110e14 + 7.22024e14i −0.195731 + 0.980658i
\(97\) −9.09865e14 −1.14338 −0.571688 0.820471i \(-0.693711\pi\)
−0.571688 + 0.820471i \(0.693711\pi\)
\(98\) 1.78740e15 + 6.03593e14i 2.07982 + 0.702342i
\(99\) 6.03647e14 + 1.72868e14i 0.650907 + 0.186402i
\(100\) 1.95751e13 + 1.49224e13i 0.0195751 + 0.0149224i
\(101\) 6.24144e13i 0.0579261i 0.999580 + 0.0289630i \(0.00922051\pi\)
−0.999580 + 0.0289630i \(0.990779\pi\)
\(102\) 3.22936e14 6.43496e14i 0.278365 0.554683i
\(103\) 9.11953e14i 0.730623i 0.930885 + 0.365311i \(0.119038\pi\)
−0.930885 + 0.365311i \(0.880962\pi\)
\(104\) 1.35713e14 + 2.01039e14i 0.101128 + 0.149806i
\(105\) −2.52070e15 3.53819e14i −1.74824 0.245392i
\(106\) 7.62470e14 2.25788e15i 0.492526 1.45850i
\(107\) −8.41506e13 −0.0506616 −0.0253308 0.999679i \(-0.508064\pi\)
−0.0253308 + 0.999679i \(0.508064\pi\)
\(108\) −8.55597e14 1.56209e15i −0.480387 0.877057i
\(109\) 8.51236e14 0.446017 0.223009 0.974816i \(-0.428412\pi\)
0.223009 + 0.974816i \(0.428412\pi\)
\(110\) 4.37260e14 1.29485e15i 0.213941 0.633538i
\(111\) 3.85260e15 + 5.40771e14i 1.76129 + 0.247224i
\(112\) 4.03259e15 1.10790e15i 1.72365 0.473548i
\(113\) 2.64592e14i 0.105801i −0.998600 0.0529003i \(-0.983153\pi\)
0.998600 0.0529003i \(-0.0168465\pi\)
\(114\) −1.32087e15 + 2.63203e15i −0.494396 + 0.985155i
\(115\) 3.93067e15i 1.37795i
\(116\) −3.60820e14 + 4.73320e14i −0.118538 + 0.155496i
\(117\) −5.64086e14 1.61539e14i −0.173761 0.0497603i
\(118\) 1.97991e14 + 6.68603e13i 0.0572178 + 0.0193220i
\(119\) −4.08953e15 −1.10936
\(120\) −3.48330e15 + 1.70129e15i −0.887425 + 0.433430i
\(121\) −2.26229e15 −0.541575
\(122\) 1.85386e15 + 6.26035e14i 0.417232 + 0.140896i
\(123\) −7.24713e14 + 5.16305e15i −0.153418 + 1.09299i
\(124\) −2.32759e15 + 3.05331e15i −0.463708 + 0.608287i
\(125\) 5.39478e15i 1.01193i
\(126\) −5.75035e15 + 8.32325e15i −1.01605 + 1.47066i
\(127\) 4.68687e15i 0.780468i 0.920716 + 0.390234i \(0.127606\pi\)
−0.920716 + 0.390234i \(0.872394\pi\)
\(128\) 4.14618e15 4.83467e15i 0.650989 0.759087i
\(129\) 3.98029e14 2.83566e15i 0.0589511 0.419983i
\(130\) −4.08604e14 + 1.20999e15i −0.0571120 + 0.169124i
\(131\) −9.77222e15 −1.28961 −0.644806 0.764347i \(-0.723062\pi\)
−0.644806 + 0.764347i \(0.723062\pi\)
\(132\) −3.82005e15 3.86148e15i −0.476172 0.481337i
\(133\) 1.67270e16 1.97029
\(134\) 3.02502e15 8.95789e15i 0.336854 0.997516i
\(135\) 3.80979e15 8.56883e15i 0.401234 0.902440i
\(136\) −5.16210e15 + 3.48472e15i −0.514380 + 0.347237i
\(137\) 1.18160e15i 0.111446i 0.998446 + 0.0557230i \(0.0177464\pi\)
−0.998446 + 0.0557230i \(0.982254\pi\)
\(138\) −1.39624e16 7.00699e15i −1.24701 0.625804i
\(139\) 1.84056e16i 1.55718i −0.627534 0.778589i \(-0.715936\pi\)
0.627534 0.778589i \(-0.284064\pi\)
\(140\) 1.75112e16 + 1.33491e16i 1.40396 + 1.07026i
\(141\) 1.09401e16 + 1.53561e15i 0.831529 + 0.116718i
\(142\) −4.50050e14 1.51979e14i −0.0324413 0.0109552i
\(143\) −1.78946e15 −0.122377
\(144\) −1.66205e14 + 1.54061e16i −0.0107876 + 0.999942i
\(145\) −3.13366e15 −0.193104
\(146\) −5.65569e15 1.90989e15i −0.331008 0.111779i
\(147\) 3.90949e16 + 5.48756e15i 2.17390 + 0.305140i
\(148\) −2.67638e16 2.04025e16i −1.41444 1.07825i
\(149\) 3.19014e16i 1.60292i −0.598048 0.801461i \(-0.704057\pi\)
0.598048 0.801461i \(-0.295943\pi\)
\(150\) 4.60358e14 + 2.31029e14i 0.0219994 + 0.0110403i
\(151\) 2.92312e16i 1.32898i 0.747295 + 0.664492i \(0.231352\pi\)
−0.747295 + 0.664492i \(0.768648\pi\)
\(152\) 2.11140e16 1.42532e16i 0.913575 0.616716i
\(153\) 4.14785e15 1.44841e16i 0.170859 0.596630i
\(154\) −9.87101e15 + 2.92307e16i −0.387219 + 1.14666i
\(155\) −2.02147e16 −0.755406
\(156\) 3.56970e15 + 3.60841e15i 0.127115 + 0.128494i
\(157\) −1.98904e16 −0.675142 −0.337571 0.941300i \(-0.609605\pi\)
−0.337571 + 0.941300i \(0.609605\pi\)
\(158\) −9.04649e15 + 2.67891e16i −0.292787 + 0.867022i
\(159\) 6.93200e15 4.93854e16i 0.213983 1.52447i
\(160\) 3.34787e16 + 1.92878e15i 0.985981 + 0.0568044i
\(161\) 8.87336e16i 2.49399i
\(162\) −2.36465e16 2.88082e16i −0.634461 0.772955i
\(163\) 2.36220e16i 0.605215i 0.953115 + 0.302607i \(0.0978571\pi\)
−0.953115 + 0.302607i \(0.902143\pi\)
\(164\) 2.73423e16 3.58674e16i 0.669124 0.877750i
\(165\) 3.97535e15 2.83214e16i 0.0929492 0.662195i
\(166\) 5.88603e15 + 1.98767e15i 0.131526 + 0.0444154i
\(167\) −6.41482e16 −1.37028 −0.685142 0.728409i \(-0.740260\pi\)
−0.685142 + 0.728409i \(0.740260\pi\)
\(168\) 7.86345e16 3.84061e16i 1.60618 0.784478i
\(169\) −4.95137e16 −0.967331
\(170\) −3.10689e16 1.04918e16i −0.580710 0.196102i
\(171\) −1.69655e16 + 5.92428e16i −0.303457 + 1.05966i
\(172\) −1.50170e16 + 1.96992e16i −0.257111 + 0.337276i
\(173\) 3.42992e16i 0.562261i 0.959670 + 0.281130i \(0.0907093\pi\)
−0.959670 + 0.281130i \(0.909291\pi\)
\(174\) −5.58621e15 + 1.11313e16i −0.0876996 + 0.174754i
\(175\) 2.92565e15i 0.0439984i
\(176\) 1.24478e16 + 4.53084e16i 0.179369 + 0.652880i
\(177\) 4.33056e15 + 6.07860e14i 0.0598059 + 0.00839468i
\(178\) 3.06621e16 9.07986e16i 0.405930 1.20207i
\(179\) 2.01998e16 0.256418 0.128209 0.991747i \(-0.459077\pi\)
0.128209 + 0.991747i \(0.459077\pi\)
\(180\) −6.50400e16 + 4.84807e16i −0.791838 + 0.590236i
\(181\) −1.14051e17 −1.33202 −0.666010 0.745943i \(-0.731999\pi\)
−0.666010 + 0.745943i \(0.731999\pi\)
\(182\) 9.22411e15 2.73151e16i 0.103369 0.306103i
\(183\) 4.05484e16 + 5.69159e15i 0.436105 + 0.0612140i
\(184\) 7.56106e16 + 1.12006e17i 0.780637 + 1.15640i
\(185\) 1.77192e17i 1.75653i
\(186\) −3.60357e16 + 7.18064e16i −0.343073 + 0.683622i
\(187\) 4.59481e16i 0.420199i
\(188\) −7.60002e16 5.79363e16i −0.667776 0.509057i
\(189\) −8.60048e16 + 1.93439e17i −0.726205 + 1.63335i
\(190\) 1.27078e17 + 4.29134e16i 1.03138 + 0.348290i
\(191\) 1.46993e17 1.14695 0.573477 0.819221i \(-0.305594\pi\)
0.573477 + 0.819221i \(0.305594\pi\)
\(192\) 6.65321e16 1.15484e17i 0.499197 0.866489i
\(193\) 1.78931e17 1.29124 0.645619 0.763659i \(-0.276599\pi\)
0.645619 + 0.763659i \(0.276599\pi\)
\(194\) 1.56046e17 + 5.26955e16i 1.08328 + 0.365815i
\(195\) −3.71482e15 + 2.64654e16i −0.0248129 + 0.176774i
\(196\) −2.71590e17 2.07038e17i −1.74579 1.33085i
\(197\) 6.92882e16i 0.428709i −0.976756 0.214355i \(-0.931235\pi\)
0.976756 0.214355i \(-0.0687648\pi\)
\(198\) −9.35163e16 6.46083e16i −0.557055 0.384857i
\(199\) 1.94429e16i 0.111523i 0.998444 + 0.0557613i \(0.0177586\pi\)
−0.998444 + 0.0557613i \(0.982241\pi\)
\(200\) −2.49297e15 3.69297e15i −0.0137718 0.0204010i
\(201\) 2.75019e16 1.95931e17i 0.146350 1.04264i
\(202\) 3.61478e15 1.07043e16i 0.0185330 0.0548813i
\(203\) 7.07414e16 0.349505
\(204\) −9.26536e16 + 9.16594e16i −0.441200 + 0.436466i
\(205\) 2.37463e17 1.09004
\(206\) 5.28165e16 1.56404e17i 0.233757 0.692219i
\(207\) −3.14272e17 8.99991e16i −1.34131 0.384114i
\(208\) −1.16320e16 4.23390e16i −0.0478830 0.174287i
\(209\) 1.87937e17i 0.746302i
\(210\) 4.11819e17 + 2.06670e17i 1.57784 + 0.791831i
\(211\) 2.14257e17i 0.792168i −0.918214 0.396084i \(-0.870369\pi\)
0.918214 0.396084i \(-0.129631\pi\)
\(212\) −2.61534e17 + 3.43078e17i −0.933274 + 1.22426i
\(213\) −9.84370e15 1.38171e15i −0.0339087 0.00475961i
\(214\) 1.44322e16 + 4.87365e15i 0.0479987 + 0.0162088i
\(215\) −1.30420e17 −0.418848
\(216\) 5.62691e16 + 3.17458e17i 0.174529 + 0.984652i
\(217\) 4.56341e17 1.36723
\(218\) −1.45991e17 4.93000e16i −0.422573 0.142700i
\(219\) −1.23704e17 1.73637e16i −0.345981 0.0485637i
\(220\) −1.49984e17 + 1.96747e17i −0.405392 + 0.531789i
\(221\) 4.29368e16i 0.112173i
\(222\) −6.29418e17 3.15871e17i −1.58961 0.797741i
\(223\) 1.58454e17i 0.386916i 0.981109 + 0.193458i \(0.0619704\pi\)
−0.981109 + 0.193458i \(0.938030\pi\)
\(224\) −7.55771e17 4.35415e16i −1.78456 0.102812i
\(225\) 1.03619e16 + 2.96737e15i 0.0236631 + 0.00677647i
\(226\) −1.53240e16 + 4.53787e16i −0.0338501 + 0.100239i
\(227\) 5.75538e17 1.22993 0.614964 0.788555i \(-0.289170\pi\)
0.614964 + 0.788555i \(0.289170\pi\)
\(228\) 3.78972e17 3.74905e17i 0.783602 0.775194i
\(229\) −3.33512e17 −0.667338 −0.333669 0.942690i \(-0.608287\pi\)
−0.333669 + 0.942690i \(0.608287\pi\)
\(230\) −2.27648e17 + 6.74127e17i −0.440864 + 1.30552i
\(231\) −8.97423e16 + 6.39348e17i −0.168231 + 1.19853i
\(232\) 8.92950e16 6.02793e16i 0.162057 0.109398i
\(233\) 8.50477e16i 0.149449i 0.997204 + 0.0747246i \(0.0238078\pi\)
−0.997204 + 0.0747246i \(0.976192\pi\)
\(234\) 8.73876e16 + 6.03741e16i 0.148707 + 0.102738i
\(235\) 5.03166e17i 0.829282i
\(236\) −3.00841e16 2.29337e16i −0.0480283 0.0366128i
\(237\) −8.22461e16 + 5.85943e17i −0.127205 + 0.906239i
\(238\) 7.01372e17 + 2.36848e17i 1.05104 + 0.354930i
\(239\) 6.87314e15 0.00998093 0.00499046 0.999988i \(-0.498411\pi\)
0.00499046 + 0.999988i \(0.498411\pi\)
\(240\) 6.95933e17 9.00406e16i 0.979452 0.126723i
\(241\) −5.57434e17 −0.760442 −0.380221 0.924896i \(-0.624152\pi\)
−0.380221 + 0.924896i \(0.624152\pi\)
\(242\) 3.87993e17 + 1.31022e17i 0.513108 + 0.173273i
\(243\) −5.97881e17 5.00805e17i −0.766597 0.642128i
\(244\) −2.81688e17 2.14736e17i −0.350223 0.266981i
\(245\) 1.79808e18i 2.16803i
\(246\) 4.23313e17 8.43513e17i 0.495050 0.986458i
\(247\) 1.75620e17i 0.199227i
\(248\) 5.76027e17 3.88852e17i 0.633951 0.427954i
\(249\) 1.28742e17 + 1.80709e16i 0.137475 + 0.0192968i
\(250\) 3.12443e17 9.25228e17i 0.323758 0.958736i
\(251\) 1.35677e18 1.36444 0.682221 0.731146i \(-0.261014\pi\)
0.682221 + 0.731146i \(0.261014\pi\)
\(252\) 1.46826e18 1.09444e18i 1.43317 1.06828i
\(253\) −9.96971e17 −0.944667
\(254\) 2.71444e17 8.03819e17i 0.249705 0.739444i
\(255\) −6.79554e17 9.53857e16i −0.606977 0.0851985i
\(256\) −9.91092e17 + 5.89037e17i −0.859635 + 0.510908i
\(257\) 1.51825e18i 1.27892i 0.768824 + 0.639460i \(0.220842\pi\)
−0.768824 + 0.639460i \(0.779158\pi\)
\(258\) −2.32493e17 + 4.63277e17i −0.190223 + 0.379047i
\(259\) 4.00005e18i 3.17920i
\(260\) 1.40155e17 1.83853e17i 0.108220 0.141962i
\(261\) −7.17503e16 + 2.50549e17i −0.0538294 + 0.187970i
\(262\) 1.67598e18 + 5.65966e17i 1.22183 + 0.412602i
\(263\) 2.51464e17 0.178159 0.0890794 0.996025i \(-0.471608\pi\)
0.0890794 + 0.996025i \(0.471608\pi\)
\(264\) 4.31514e17 + 8.83502e17i 0.297143 + 0.608384i
\(265\) −2.27138e18 −1.52036
\(266\) −2.86875e18 9.68757e17i −1.86673 0.630380i
\(267\) 2.78764e17 1.98599e18i 0.176361 1.25644i
\(268\) −1.03761e18 + 1.36112e18i −0.638296 + 0.837309i
\(269\) 3.42165e17i 0.204689i 0.994749 + 0.102344i \(0.0326344\pi\)
−0.994749 + 0.102344i \(0.967366\pi\)
\(270\) −1.14967e18 + 1.24894e18i −0.668872 + 0.726633i
\(271\) 2.43279e18i 1.37669i −0.725385 0.688344i \(-0.758338\pi\)
0.725385 0.688344i \(-0.241662\pi\)
\(272\) 1.08714e18 2.98677e17i 0.598439 0.164413i
\(273\) 8.38609e16 5.97448e17i 0.0449097 0.319948i
\(274\) 6.84331e16 2.02649e17i 0.0356564 0.105588i
\(275\) 3.28713e16 0.0166656
\(276\) 1.98880e18 + 2.01038e18i 0.981237 + 0.991880i
\(277\) 3.00684e18 1.44382 0.721909 0.691988i \(-0.243265\pi\)
0.721909 + 0.691988i \(0.243265\pi\)
\(278\) −1.06597e18 + 3.15664e18i −0.498208 + 1.47533i
\(279\) −4.62849e17 + 1.61625e18i −0.210576 + 0.735320i
\(280\) −2.23012e18 3.30360e18i −0.987740 1.46319i
\(281\) 1.81846e18i 0.784163i −0.919930 0.392082i \(-0.871755\pi\)
0.919930 0.392082i \(-0.128245\pi\)
\(282\) −1.78734e18 8.96968e17i −0.750478 0.376624i
\(283\) 1.20341e18i 0.492055i −0.969263 0.246027i \(-0.920875\pi\)
0.969263 0.246027i \(-0.0791253\pi\)
\(284\) 6.83836e16 + 5.21300e16i 0.0272311 + 0.0207587i
\(285\) 2.77951e18 + 3.90147e17i 1.07803 + 0.151318i
\(286\) 3.06900e17 + 1.03638e17i 0.115945 + 0.0391538i
\(287\) −5.36066e18 −1.97290
\(288\) 9.20763e17 2.63259e18i 0.330145 0.943930i
\(289\) 1.75993e18 0.614839
\(290\) 5.37436e17 + 1.81488e17i 0.182954 + 0.0617823i
\(291\) 3.41310e18 + 4.79081e17i 1.13228 + 0.158932i
\(292\) 8.59363e17 + 6.55107e17i 0.277847 + 0.211807i
\(293\) 4.48220e18i 1.41248i 0.707970 + 0.706242i \(0.249611\pi\)
−0.707970 + 0.706242i \(0.750389\pi\)
\(294\) −6.38712e18 3.20535e18i −1.96201 0.984624i
\(295\) 1.99175e17i 0.0596443i
\(296\) 3.40848e18 + 5.04916e18i 0.995113 + 1.47412i
\(297\) −2.17339e18 9.66311e17i −0.618678 0.275070i
\(298\) −1.84759e18 + 5.47122e18i −0.512843 + 1.51867i
\(299\) 9.31633e17 0.252180
\(300\) −6.55732e16 6.62844e16i −0.0173108 0.0174985i
\(301\) 2.94420e18 0.758086
\(302\) 1.69295e18 5.01328e18i 0.425199 1.25913i
\(303\) 3.28637e16 2.34130e17i 0.00805188 0.0573638i
\(304\) −4.44663e18 + 1.22165e18i −1.06287 + 0.292008i
\(305\) 1.86494e18i 0.434927i
\(306\) −1.55023e18 + 2.24386e18i −0.352765 + 0.510605i
\(307\) 2.40566e18i 0.534191i −0.963670 0.267095i \(-0.913936\pi\)
0.963670 0.267095i \(-0.0860639\pi\)
\(308\) 3.38584e18 4.44151e18i 0.733731 0.962500i
\(309\) 4.80181e17 3.42094e18i 0.101558 0.723530i
\(310\) 3.46691e18 + 1.17075e18i 0.715699 + 0.241686i
\(311\) −3.58128e18 −0.721664 −0.360832 0.932631i \(-0.617507\pi\)
−0.360832 + 0.932631i \(0.617507\pi\)
\(312\) −4.03234e17 8.25601e17i −0.0793228 0.162409i
\(313\) 4.06505e17 0.0780699 0.0390350 0.999238i \(-0.487572\pi\)
0.0390350 + 0.999238i \(0.487572\pi\)
\(314\) 3.41128e18 + 1.15197e18i 0.639654 + 0.216007i
\(315\) 9.26940e18 + 2.65450e18i 1.69716 + 0.486020i
\(316\) 3.10302e18 4.07051e18i 0.554794 0.727773i
\(317\) 5.50906e18i 0.961908i −0.876746 0.480954i \(-0.840290\pi\)
0.876746 0.480954i \(-0.159710\pi\)
\(318\) −4.04906e18 + 8.06834e18i −0.690480 + 1.37588i
\(319\) 7.94819e17i 0.132385i
\(320\) −5.63004e18 2.26974e18i −0.915981 0.369276i
\(321\) 3.15668e17 + 4.43088e16i 0.0501698 + 0.00704209i
\(322\) 5.13908e18 1.52182e19i 0.797933 2.36289i
\(323\) 4.50942e18 0.684071
\(324\) 2.38703e18 + 6.31025e18i 0.353810 + 0.935317i
\(325\) −3.07170e16 −0.00444891
\(326\) 1.36809e18 4.05128e18i 0.193634 0.573403i
\(327\) −3.19318e18 4.48211e17i −0.441687 0.0619975i
\(328\) −6.76662e18 + 4.56786e18i −0.914783 + 0.617532i
\(329\) 1.13588e19i 1.50094i
\(330\) −2.32205e18 + 4.62702e18i −0.299928 + 0.597649i
\(331\) 9.04546e18i 1.14214i −0.820900 0.571072i \(-0.806528\pi\)
0.820900 0.571072i \(-0.193472\pi\)
\(332\) −8.94363e17 6.81788e17i −0.110402 0.0841616i
\(333\) −1.41672e19 4.05710e18i −1.70983 0.489648i
\(334\) 1.10017e19 + 3.71519e18i 1.29826 + 0.438413i
\(335\) −9.01143e18 −1.03982
\(336\) −1.57105e19 + 2.03264e18i −1.77274 + 0.229359i
\(337\) 7.27917e17 0.0803262 0.0401631 0.999193i \(-0.487212\pi\)
0.0401631 + 0.999193i \(0.487212\pi\)
\(338\) 8.49182e18 + 2.86763e18i 0.916485 + 0.309490i
\(339\) −1.39318e17 + 9.92542e17i −0.0147066 + 0.104773i
\(340\) 4.72082e18 + 3.59876e18i 0.487445 + 0.371588i
\(341\) 5.12725e18i 0.517877i
\(342\) 6.34076e18 9.17783e18i 0.626535 0.906869i
\(343\) 2.21004e19i 2.13646i
\(344\) 3.71638e18 2.50877e18i 0.351506 0.237287i
\(345\) −2.06966e18 + 1.47448e19i −0.191538 + 1.36457i
\(346\) 1.98646e18 5.88246e18i 0.179891 0.532706i
\(347\) −5.10775e18 −0.452646 −0.226323 0.974052i \(-0.572671\pi\)
−0.226323 + 0.974052i \(0.572671\pi\)
\(348\) 1.60274e18 1.58554e18i 0.139001 0.137510i
\(349\) −1.78678e19 −1.51663 −0.758315 0.651889i \(-0.773977\pi\)
−0.758315 + 0.651889i \(0.773977\pi\)
\(350\) −1.69441e17 + 5.01762e17i −0.0140770 + 0.0416857i
\(351\) 2.03095e18 + 9.02983e17i 0.165157 + 0.0734304i
\(352\) 4.89213e17 8.49151e18i 0.0389429 0.675950i
\(353\) 1.55040e19i 1.20818i −0.796916 0.604091i \(-0.793536\pi\)
0.796916 0.604091i \(-0.206464\pi\)
\(354\) −7.07505e17 3.55058e17i −0.0539765 0.0270879i
\(355\) 4.52740e17i 0.0338171i
\(356\) −1.05174e19 + 1.37966e19i −0.769186 + 1.00901i
\(357\) 1.53407e19 + 2.15330e18i 1.09859 + 0.154203i
\(358\) −3.46435e18 1.16989e18i −0.242940 0.0820391i
\(359\) −2.44224e19 −1.67718 −0.838589 0.544764i \(-0.816619\pi\)
−0.838589 + 0.544764i \(0.816619\pi\)
\(360\) 1.39624e19 4.54782e18i 0.939058 0.305868i
\(361\) −3.26329e18 −0.214957
\(362\) 1.95603e19 + 6.60537e18i 1.26200 + 0.426170i
\(363\) 8.48636e18 + 1.19119e18i 0.536317 + 0.0752803i
\(364\) −3.16395e18 + 4.15043e18i −0.195871 + 0.256941i
\(365\) 5.68949e18i 0.345046i
\(366\) −6.62460e18 3.32453e18i −0.393597 0.197525i
\(367\) 1.16167e19i 0.676221i −0.941106 0.338111i \(-0.890212\pi\)
0.941106 0.338111i \(-0.109788\pi\)
\(368\) −6.48063e18 2.35886e19i −0.369622 1.34537i
\(369\) 5.43711e18 1.89861e19i 0.303858 1.06106i
\(370\) −1.02622e19 + 3.03892e19i −0.561990 + 1.66420i
\(371\) 5.12756e19 2.75174
\(372\) 1.03390e19 1.02281e19i 0.543760 0.537925i
\(373\) −3.99820e18 −0.206086 −0.103043 0.994677i \(-0.532858\pi\)
−0.103043 + 0.994677i \(0.532858\pi\)
\(374\) −2.66112e18 + 7.88030e18i −0.134440 + 0.398112i
\(375\) 2.84057e18 2.02370e19i 0.140660 1.00210i
\(376\) 9.67894e18 + 1.43379e19i 0.469806 + 0.695950i
\(377\) 7.42729e17i 0.0353403i
\(378\) 2.59534e19 2.81945e19i 1.21061 1.31515i
\(379\) 1.27210e19i 0.581736i −0.956763 0.290868i \(-0.906056\pi\)
0.956763 0.290868i \(-0.0939440\pi\)
\(380\) −1.93091e19 1.47197e19i −0.865735 0.659965i
\(381\) 2.46783e18 1.75815e19i 0.108487 0.772892i
\(382\) −2.52099e19 8.51322e18i −1.08667 0.366960i
\(383\) −7.02109e18 −0.296766 −0.148383 0.988930i \(-0.547407\pi\)
−0.148383 + 0.988930i \(0.547407\pi\)
\(384\) −1.80989e19 + 1.59528e19i −0.750184 + 0.661229i
\(385\) 2.94055e19 1.19529
\(386\) −3.06875e19 1.03630e19i −1.22337 0.413122i
\(387\) −2.98619e18 + 1.04276e19i −0.116758 + 0.407712i
\(388\) −2.37106e19 1.80750e19i −0.909296 0.693172i
\(389\) 2.83676e19i 1.06709i 0.845772 + 0.533545i \(0.179141\pi\)
−0.845772 + 0.533545i \(0.820859\pi\)
\(390\) 2.16987e18 4.32378e18i 0.0800662 0.159543i
\(391\) 2.39216e19i 0.865895i
\(392\) 3.45881e19 + 5.12372e19i 1.22823 + 1.81945i
\(393\) 3.66578e19 + 5.14548e18i 1.27709 + 0.179259i
\(394\) −4.01288e18 + 1.18832e19i −0.137162 + 0.406175i
\(395\) 2.69492e19 0.903791
\(396\) 1.22966e19 + 1.64967e19i 0.404643 + 0.542853i
\(397\) 9.87931e18 0.319005 0.159503 0.987198i \(-0.449011\pi\)
0.159503 + 0.987198i \(0.449011\pi\)
\(398\) 1.12605e18 3.33454e18i 0.0356808 0.105661i
\(399\) −6.27466e19 8.80744e18i −1.95116 0.273876i
\(400\) 2.13674e17 + 7.77742e17i 0.00652080 + 0.0237348i
\(401\) 5.49232e19i 1.64503i −0.568746 0.822513i \(-0.692571\pi\)
0.568746 0.822513i \(-0.307429\pi\)
\(402\) −1.60642e19 + 3.20102e19i −0.472241 + 0.941009i
\(403\) 4.79123e18i 0.138248i
\(404\) −1.23990e18 + 1.62649e18i −0.0351178 + 0.0460671i
\(405\) −1.88032e19 + 3.01376e19i −0.522780 + 0.837906i
\(406\) −1.21325e19 4.09705e18i −0.331134 0.111822i
\(407\) −4.49428e19 −1.20421
\(408\) 2.11990e19 1.03539e19i 0.557654 0.272365i
\(409\) −1.71544e19 −0.443049 −0.221524 0.975155i \(-0.571103\pi\)
−0.221524 + 0.975155i \(0.571103\pi\)
\(410\) −4.07260e19 1.37529e19i −1.03274 0.348750i
\(411\) 6.22159e17 4.43243e18i 0.0154913 0.110364i
\(412\) −1.81165e19 + 2.37651e19i −0.442941 + 0.581045i
\(413\) 4.49631e18i 0.107952i
\(414\) 4.86867e19 + 3.36366e19i 1.14791 + 0.793066i
\(415\) 5.92121e18i 0.137104i
\(416\) −4.57152e17 + 7.93501e18i −0.0103959 + 0.180446i
\(417\) −9.69129e18 + 6.90434e19i −0.216452 + 1.54206i
\(418\) 1.08845e19 3.22320e19i 0.238774 0.707074i
\(419\) 3.22322e19 0.694521 0.347260 0.937769i \(-0.387112\pi\)
0.347260 + 0.937769i \(0.387112\pi\)
\(420\) −5.86594e19 5.92956e19i −1.24156 1.25503i
\(421\) 2.74110e19 0.569914 0.284957 0.958540i \(-0.408021\pi\)
0.284957 + 0.958540i \(0.408021\pi\)
\(422\) −1.24089e19 + 3.67461e19i −0.253448 + 0.750530i
\(423\) −4.02301e19 1.15208e19i −0.807233 0.231169i
\(424\) 6.47239e19 4.36924e19i 1.27591 0.861314i
\(425\) 7.88724e17i 0.0152759i
\(426\) 1.60821e18 + 8.07076e17i 0.0306036 + 0.0153583i
\(427\) 4.21004e19i 0.787186i
\(428\) −2.19292e18 1.67170e18i −0.0402898 0.0307136i
\(429\) 6.71265e18 + 9.42223e17i 0.121189 + 0.0170108i
\(430\) 2.23677e19 + 7.55340e18i 0.396832 + 0.134007i
\(431\) 7.64963e19 1.33371 0.666854 0.745188i \(-0.267640\pi\)
0.666854 + 0.745188i \(0.267640\pi\)
\(432\) 8.73543e18 5.77043e19i 0.149677 0.988735i
\(433\) 8.90203e18 0.149910 0.0749548 0.997187i \(-0.476119\pi\)
0.0749548 + 0.997187i \(0.476119\pi\)
\(434\) −7.82645e19 2.64294e19i −1.29536 0.437435i
\(435\) 1.17550e19 + 1.65000e18i 0.191230 + 0.0268420i
\(436\) 2.21828e19 + 1.69103e19i 0.354706 + 0.270398i
\(437\) 9.78443e19i 1.53789i
\(438\) 2.02101e19 + 1.01424e19i 0.312257 + 0.156705i
\(439\) 5.66667e19i 0.860685i −0.902666 0.430342i \(-0.858393\pi\)
0.902666 0.430342i \(-0.141607\pi\)
\(440\) 3.71177e19 2.50566e19i 0.554225 0.374134i
\(441\) −1.43764e20 4.11701e19i −2.11038 0.604356i
\(442\) 2.48672e18 7.36385e18i 0.0358889 0.106277i
\(443\) 8.98271e19 1.27462 0.637308 0.770609i \(-0.280048\pi\)
0.637308 + 0.770609i \(0.280048\pi\)
\(444\) 8.96541e19 + 9.06265e19i 1.25083 + 1.26440i
\(445\) −9.13413e19 −1.25305
\(446\) 9.17700e18 2.71756e19i 0.123791 0.366579i
\(447\) −1.67974e19 + 1.19669e20i −0.222810 + 1.58736i
\(448\) 1.27096e20 + 5.12387e19i 1.65786 + 0.668363i
\(449\) 1.21780e20i 1.56217i 0.624422 + 0.781087i \(0.285334\pi\)
−0.624422 + 0.781087i \(0.714666\pi\)
\(450\) −1.60526e18 1.10904e18i −0.0202512 0.0139911i
\(451\) 6.02300e19i 0.747289i
\(452\) 5.25628e18 6.89513e18i 0.0641417 0.0841404i
\(453\) 1.53914e19 1.09653e20i 0.184732 1.31608i
\(454\) −9.87073e19 3.33327e19i −1.16528 0.393507i
\(455\) −2.74783e19 −0.319084
\(456\) −8.67083e19 + 4.23495e19i −0.990431 + 0.483739i
\(457\) −1.00075e20 −1.12448 −0.562242 0.826972i \(-0.690061\pi\)
−0.562242 + 0.826972i \(0.690061\pi\)
\(458\) 5.71988e19 + 1.93156e19i 0.632261 + 0.213510i
\(459\) −2.31860e19 + 5.21490e19i −0.252133 + 0.567089i
\(460\) 7.80852e19 1.02431e20i 0.835382 1.09584i
\(461\) 4.79947e19i 0.505169i 0.967575 + 0.252584i \(0.0812805\pi\)
−0.967575 + 0.252584i \(0.918719\pi\)
\(462\) 5.24195e19 1.04453e20i 0.542848 1.08170i
\(463\) 3.70157e19i 0.377163i 0.982058 + 0.188582i \(0.0603890\pi\)
−0.982058 + 0.188582i \(0.939611\pi\)
\(464\) −1.88056e19 + 5.16657e18i −0.188540 + 0.0517986i
\(465\) 7.58299e19 + 1.06439e19i 0.748072 + 0.105003i
\(466\) 4.92561e18 1.45861e19i 0.0478151 0.141594i
\(467\) −8.13340e19 −0.776954 −0.388477 0.921458i \(-0.626999\pi\)
−0.388477 + 0.921458i \(0.626999\pi\)
\(468\) −1.14907e19 1.54156e19i −0.108020 0.144916i
\(469\) 2.03430e20 1.88200
\(470\) −2.91413e19 + 8.62952e19i −0.265323 + 0.785693i
\(471\) 7.46131e19 + 1.04731e19i 0.668588 + 0.0938465i
\(472\) 3.83134e18 + 5.67557e18i 0.0337898 + 0.0500547i
\(473\) 3.30797e19i 0.287146i
\(474\) 4.80409e19 9.57285e19i 0.410463 0.817906i
\(475\) 3.22604e18i 0.0271311i
\(476\) −1.06571e20 8.12410e19i −0.882241 0.672548i
\(477\) −5.20069e19 + 1.81606e20i −0.423812 + 1.47993i
\(478\) −1.17877e18 3.98063e17i −0.00945630 0.00319332i
\(479\) −2.08531e20 −1.64685 −0.823424 0.567427i \(-0.807939\pi\)
−0.823424 + 0.567427i \(0.807939\pi\)
\(480\) −1.24570e20 2.48632e19i −0.968513 0.193307i
\(481\) 4.19974e19 0.321466
\(482\) 9.56024e19 + 3.22843e19i 0.720470 + 0.243298i
\(483\) 4.67219e19 3.32859e20i 0.346671 2.46977i
\(484\) −5.89542e19 4.49418e19i −0.430700 0.328330i
\(485\) 1.56978e20i 1.12922i
\(486\) 7.35346e19 + 1.20517e20i 0.520859 + 0.853643i
\(487\) 2.39743e19i 0.167216i −0.996499 0.0836082i \(-0.973356\pi\)
0.996499 0.0836082i \(-0.0266444\pi\)
\(488\) 3.58741e19 + 5.31423e19i 0.246395 + 0.364999i
\(489\) 1.24380e19 8.86113e19i 0.0841265 0.599340i
\(490\) −1.04138e20 + 3.08379e20i −0.693644 + 2.05407i
\(491\) 2.45200e19 0.160845 0.0804227 0.996761i \(-0.474373\pi\)
0.0804227 + 0.996761i \(0.474373\pi\)
\(492\) −1.21453e20 + 1.20150e20i −0.784638 + 0.776219i
\(493\) 1.90711e19 0.121346
\(494\) −1.01712e19 + 3.01196e19i −0.0637411 + 0.188755i
\(495\) −2.98248e19 + 1.04147e20i −0.184094 + 0.642846i
\(496\) −1.21312e20 + 3.33287e19i −0.737549 + 0.202631i
\(497\) 1.02205e19i 0.0612065i
\(498\) −2.10332e19 1.05554e19i −0.124075 0.0622667i
\(499\) 2.58155e20i 1.50012i 0.661369 + 0.750061i \(0.269976\pi\)
−0.661369 + 0.750061i \(0.730024\pi\)
\(500\) −1.07171e20 + 1.40585e20i −0.613481 + 0.804758i
\(501\) 2.40634e20 + 3.37767e19i 1.35698 + 0.190473i
\(502\) −2.32693e20 7.85787e19i −1.29272 0.436543i
\(503\) 1.05944e20 0.579852 0.289926 0.957049i \(-0.406369\pi\)
0.289926 + 0.957049i \(0.406369\pi\)
\(504\) −3.15198e20 + 1.02666e20i −1.69963 + 0.553600i
\(505\) −1.07683e19 −0.0572088
\(506\) 1.70985e20 + 5.77404e19i 0.895012 + 0.302239i
\(507\) 1.85737e20 + 2.60710e19i 0.957940 + 0.134462i
\(508\) −9.31077e19 + 1.22138e20i −0.473160 + 0.620686i
\(509\) 1.94283e20i 0.972862i 0.873719 + 0.486431i \(0.161701\pi\)
−0.873719 + 0.486431i \(0.838299\pi\)
\(510\) 1.11022e20 + 5.57160e19i 0.547814 + 0.274918i
\(511\) 1.28439e20i 0.624509i
\(512\) 2.04091e20 4.36226e19i 0.977911 0.209019i
\(513\) 9.48353e19 2.13300e20i 0.447806 1.00719i
\(514\) 8.79304e19 2.60386e20i 0.409181 1.21170i
\(515\) −1.57339e20 −0.721575
\(516\) 6.67047e19 6.59890e19i 0.301497 0.298262i
\(517\) −1.27623e20 −0.568524
\(518\) 2.31666e20 6.86027e20i 1.01716 3.01209i
\(519\) 1.80599e19 1.28664e20i 0.0781557 0.556802i
\(520\) −3.46852e19 + 2.34145e19i −0.147951 + 0.0998757i
\(521\) 1.32245e20i 0.556030i −0.960577 0.278015i \(-0.910324\pi\)
0.960577 0.278015i \(-0.0896764\pi\)
\(522\) 2.68162e19 3.88147e19i 0.111140 0.160867i
\(523\) 1.82317e20i 0.744842i −0.928064 0.372421i \(-0.878528\pi\)
0.928064 0.372421i \(-0.121472\pi\)
\(524\) −2.54659e20 1.94131e20i −1.02559 0.781828i
\(525\) −1.54047e18 + 1.09748e19i −0.00611589 + 0.0435713i
\(526\) −4.31271e19 1.45637e19i −0.168794 0.0570006i
\(527\) 1.23025e20 0.474693
\(528\) −2.28378e19 1.76516e20i −0.0868761 0.671474i
\(529\) 2.52411e20 0.946653
\(530\) 3.89551e20 + 1.31549e20i 1.44044 + 0.486426i
\(531\) −1.59248e19 4.56043e18i −0.0580584 0.0166264i
\(532\) 4.35897e20 + 3.32292e20i 1.56692 + 1.19449i
\(533\) 5.62828e19i 0.199490i
\(534\) −1.62829e20 + 3.24461e20i −0.569080 + 1.13397i
\(535\) 1.45185e19i 0.0500342i
\(536\) 2.56785e20 1.73345e20i 0.872636 0.589080i
\(537\) −7.57738e19 1.06360e19i −0.253929 0.0356428i
\(538\) 1.98168e19 5.86829e19i 0.0654887 0.193930i
\(539\) −4.56065e20 −1.48631
\(540\) 2.69506e20 1.47616e20i 0.866195 0.474438i
\(541\) −3.68575e20 −1.16828 −0.584140 0.811653i \(-0.698568\pi\)
−0.584140 + 0.811653i \(0.698568\pi\)
\(542\) −1.40897e20 + 4.17235e20i −0.440461 + 1.30432i
\(543\) 4.27831e20 + 6.00527e19i 1.31909 + 0.185154i
\(544\) −2.03748e20 1.17383e19i −0.619586 0.0356956i
\(545\) 1.46863e20i 0.440494i
\(546\) −4.89842e19 + 9.76080e19i −0.144914 + 0.288762i
\(547\) 3.66624e20i 1.06983i 0.844905 + 0.534916i \(0.179657\pi\)
−0.844905 + 0.534916i \(0.820343\pi\)
\(548\) −2.34732e19 + 3.07918e19i −0.0675643 + 0.0886301i
\(549\) −1.49109e20 4.27009e19i −0.423362 0.121239i
\(550\) −5.63757e18 1.90377e18i −0.0157896 0.00533204i
\(551\) −7.80047e19 −0.215518
\(552\) −2.24656e20 4.59972e20i −0.612316 1.25368i
\(553\) −6.08370e20 −1.63580
\(554\) −5.15687e20 1.74144e20i −1.36793 0.461939i
\(555\) −9.32989e19 + 6.64686e20i −0.244163 + 1.73948i
\(556\) 3.65638e20 4.79640e20i 0.944040 1.23838i
\(557\) 3.18417e20i 0.811114i −0.914070 0.405557i \(-0.867078\pi\)
0.914070 0.405557i \(-0.132922\pi\)
\(558\) 1.72987e20 2.50387e20i 0.434767 0.629297i
\(559\) 3.09118e19i 0.0766541i
\(560\) 1.91145e20 + 6.95740e20i 0.467684 + 1.70230i
\(561\) −2.41936e19 + 1.72361e20i −0.0584088 + 0.416120i
\(562\) −1.05318e20 + 3.11874e20i −0.250887 + 0.742945i
\(563\) −1.18420e19 −0.0278363 −0.0139182 0.999903i \(-0.504430\pi\)
−0.0139182 + 0.999903i \(0.504430\pi\)
\(564\) 2.54588e20 + 2.57349e20i 0.590533 + 0.596938i
\(565\) 4.56499e19 0.104490
\(566\) −6.96962e19 + 2.06389e20i −0.157429 + 0.466191i
\(567\) 4.24476e20 6.80346e20i 0.946195 1.51655i
\(568\) −8.70894e18 1.29010e19i −0.0191581 0.0283800i
\(569\) 7.78881e20i 1.69094i 0.534020 + 0.845472i \(0.320681\pi\)
−0.534020 + 0.845472i \(0.679319\pi\)
\(570\) −4.54103e20 2.27889e20i −0.972955 0.488273i
\(571\) 2.47283e20i 0.522905i −0.965216 0.261452i \(-0.915799\pi\)
0.965216 0.261452i \(-0.0842015\pi\)
\(572\) −4.66324e19 3.55487e19i −0.0973235 0.0741914i
\(573\) −5.51403e20 7.73979e19i −1.13582 0.159430i
\(574\) 9.19377e20 + 3.10467e20i 1.86919 + 0.631214i
\(575\) −1.71135e19 −0.0343424
\(576\) −3.10384e20 + 3.98174e20i −0.614795 + 0.788687i
\(577\) 8.63573e20 1.68842 0.844210 0.536012i \(-0.180070\pi\)
0.844210 + 0.536012i \(0.180070\pi\)
\(578\) −3.01836e20 1.01928e20i −0.582522 0.196713i
\(579\) −6.71211e20 9.42147e19i −1.27870 0.179486i
\(580\) −8.16617e19 6.22521e19i −0.153571 0.117070i
\(581\) 1.33669e20i 0.248148i
\(582\) −5.57616e20 2.79837e20i −1.02191 0.512841i
\(583\) 5.76110e20i 1.04230i
\(584\) −1.09443e20 1.62124e20i −0.195476 0.289569i
\(585\) 2.78702e19 9.73215e19i 0.0491441 0.171609i
\(586\) 2.59590e20 7.68716e20i 0.451914 1.33824i
\(587\) −2.17267e20 −0.373428 −0.186714 0.982414i \(-0.559784\pi\)
−0.186714 + 0.982414i \(0.559784\pi\)
\(588\) 9.09779e20 + 9.19647e20i 1.54385 + 1.56060i
\(589\) −5.03196e20 −0.843087
\(590\) −1.15354e19 + 3.41593e19i −0.0190828 + 0.0565092i
\(591\) −3.64831e19 + 2.59915e20i −0.0595917 + 0.424547i
\(592\) −2.92143e20 1.06336e21i −0.471175 1.71501i
\(593\) 5.31272e20i 0.846072i −0.906113 0.423036i \(-0.860964\pi\)
0.906113 0.423036i \(-0.139036\pi\)
\(594\) 3.16781e20 + 2.91600e20i 0.498151 + 0.458553i
\(595\) 7.05564e20i 1.09562i
\(596\) 6.33741e20 8.31334e20i 0.971772 1.27476i
\(597\) 1.02375e19 7.29346e19i 0.0155019 0.110440i
\(598\) −1.59779e20 5.39563e19i −0.238925 0.0806832i
\(599\) 8.54948e20 1.26252 0.631261 0.775571i \(-0.282538\pi\)
0.631261 + 0.775571i \(0.282538\pi\)
\(600\) 7.40717e18 + 1.51658e19i 0.0108023 + 0.0221172i
\(601\) 1.07580e21 1.54943 0.774717 0.632308i \(-0.217892\pi\)
0.774717 + 0.632308i \(0.217892\pi\)
\(602\) −5.04943e20 1.70516e20i −0.718239 0.242544i
\(603\) −2.06332e20 + 7.20500e20i −0.289858 + 1.01217i
\(604\) −5.80697e20 + 7.61752e20i −0.805698 + 1.05691i
\(605\) 3.90312e20i 0.534868i
\(606\) −1.91961e19 + 3.82510e19i −0.0259818 + 0.0517724i
\(607\) 2.34478e20i 0.313464i −0.987641 0.156732i \(-0.949904\pi\)
0.987641 0.156732i \(-0.0500959\pi\)
\(608\) 8.33370e20 + 4.80121e19i 1.10043 + 0.0633978i
\(609\) −2.65367e20 3.72483e19i −0.346112 0.0485821i
\(610\) −1.08009e20 + 3.19845e20i −0.139152 + 0.412066i
\(611\) 1.19259e20 0.151768
\(612\) 3.95826e20 2.95049e20i 0.497587 0.370901i
\(613\) 8.66071e20 1.07547 0.537737 0.843113i \(-0.319279\pi\)
0.537737 + 0.843113i \(0.319279\pi\)
\(614\) −1.39326e20 + 4.12581e20i −0.170910 + 0.506112i
\(615\) −8.90778e20 1.25034e20i −1.07946 0.151518i
\(616\) −8.37921e20 + 5.65645e20i −1.00311 + 0.677156i
\(617\) 1.00657e21i 1.19043i −0.803565 0.595217i \(-0.797066\pi\)
0.803565 0.595217i \(-0.202934\pi\)
\(618\) −2.80479e20 + 5.58896e20i −0.327708 + 0.653006i
\(619\) 1.12221e21i 1.29537i −0.761908 0.647685i \(-0.775737\pi\)
0.761908 0.647685i \(-0.224263\pi\)
\(620\) −5.26786e20 4.01578e20i −0.600754 0.457965i
\(621\) 1.13152e21 + 5.03084e20i 1.27489 + 0.566831i
\(622\) 6.14205e20 + 2.07412e20i 0.683731 + 0.230891i
\(623\) 2.06200e21 2.26793
\(624\) 2.13411e19 + 1.64948e20i 0.0231917 + 0.179251i
\(625\) −9.07834e20 −0.974780
\(626\) −6.97175e19 2.35431e19i −0.0739663 0.0249779i
\(627\) 9.89565e19 7.04993e20i 0.103738 0.739057i
\(628\) −5.18333e20 3.95134e20i −0.536922 0.409305i
\(629\) 1.07837e21i 1.10380i
\(630\) −1.43601e21 9.92104e20i −1.45245 1.00347i
\(631\) 7.23813e20i 0.723447i 0.932286 + 0.361723i \(0.117811\pi\)
−0.932286 + 0.361723i \(0.882189\pi\)
\(632\) −7.67929e20 + 5.18397e20i −0.758478 + 0.512017i
\(633\) −1.12815e20 + 8.03727e20i −0.110113 + 0.784478i
\(634\) −3.19062e20 + 9.44829e20i −0.307755 + 0.911347i
\(635\) −8.08624e20 −0.770803
\(636\) 1.16172e21 1.14925e21i 1.09439 1.08265i
\(637\) 4.26176e20 0.396774
\(638\) 4.60326e19 1.36315e20i 0.0423555 0.125426i
\(639\) 3.61984e19 + 1.03662e19i 0.0329179 + 0.00942680i
\(640\) 8.34122e20 + 7.15338e20i 0.749687 + 0.642927i
\(641\) 1.62586e21i 1.44427i −0.691752 0.722135i \(-0.743161\pi\)
0.691752 0.722135i \(-0.256839\pi\)
\(642\) −5.15722e19 2.58813e19i −0.0452796 0.0227234i
\(643\) 1.72137e21i 1.49379i 0.664940 + 0.746897i \(0.268457\pi\)
−0.664940 + 0.746897i \(0.731543\pi\)
\(644\) −1.76275e21 + 2.31236e21i −1.51198 + 1.98340i
\(645\) 4.89236e20 + 6.86717e19i 0.414782 + 0.0582210i
\(646\) −7.73385e20 2.61166e20i −0.648114 0.218864i
\(647\) 8.68296e20 0.719260 0.359630 0.933095i \(-0.382903\pi\)
0.359630 + 0.933095i \(0.382903\pi\)
\(648\) −4.39231e19 1.22048e21i −0.0359650 0.999353i
\(649\) −5.05185e19 −0.0408898
\(650\) 5.26810e18 + 1.77900e18i 0.00421506 + 0.00142340i
\(651\) −1.71184e21 2.40283e20i −1.35396 0.190049i
\(652\) −4.69266e20 + 6.15578e20i −0.366912 + 0.481311i
\(653\) 5.16021e20i 0.398858i −0.979912 0.199429i \(-0.936091\pi\)
0.979912 0.199429i \(-0.0639088\pi\)
\(654\) 5.21685e20 + 2.61806e20i 0.398635 + 0.200053i
\(655\) 1.68600e21i 1.27364i
\(656\) 1.42506e21 3.91514e20i 1.06427 0.292394i
\(657\) 4.54897e20 + 1.30270e20i 0.335872 + 0.0961845i
\(658\) 6.57855e20 1.94809e21i 0.480215 1.42205i
\(659\) −1.89705e21 −1.36911 −0.684553 0.728963i \(-0.740003\pi\)
−0.684553 + 0.728963i \(0.740003\pi\)
\(660\) 6.66219e20 6.59070e20i 0.475376 0.470275i
\(661\) −1.17502e21 −0.828959 −0.414479 0.910059i \(-0.636036\pi\)
−0.414479 + 0.910059i \(0.636036\pi\)
\(662\) −5.23875e20 + 1.55134e21i −0.365421 + 1.08211i
\(663\) 2.26080e19 1.61066e20i 0.0155923 0.111084i
\(664\) 1.13901e20 + 1.68727e20i 0.0776723 + 0.115060i
\(665\) 2.88590e21i 1.94589i
\(666\) 2.19477e21 + 1.51632e21i 1.46329 + 1.01096i
\(667\) 4.13801e20i 0.272802i
\(668\) −1.67167e21 1.27434e21i −1.08975 0.830736i
\(669\) 8.34327e19 5.94397e20i 0.0537824 0.383160i
\(670\) 1.54550e21 + 5.21904e20i 0.985163 + 0.332682i
\(671\) −4.73022e20 −0.298169
\(672\) 2.81214e21 + 5.61279e20i 1.75294 + 0.349872i
\(673\) −2.04488e21 −1.26053 −0.630267 0.776378i \(-0.717055\pi\)
−0.630267 + 0.776378i \(0.717055\pi\)
\(674\) −1.24841e20 4.21579e19i −0.0761040 0.0256998i
\(675\) −3.73074e19 1.65873e19i −0.0224914 0.00999991i
\(676\) −1.29030e21 9.83621e20i −0.769293 0.586445i
\(677\) 1.28106e21i 0.755360i 0.925936 + 0.377680i \(0.123278\pi\)
−0.925936 + 0.377680i \(0.876722\pi\)
\(678\) 8.13776e19 1.62157e20i 0.0474550 0.0945610i
\(679\) 3.54374e21i 2.04380i
\(680\) −6.01216e20 8.90614e20i −0.342937 0.508010i
\(681\) −2.15897e21 3.03044e20i −1.21799 0.170963i
\(682\) 2.96949e20 8.79345e20i 0.165691 0.490655i
\(683\) 1.05077e21 0.579901 0.289950 0.957042i \(-0.406361\pi\)
0.289950 + 0.957042i \(0.406361\pi\)
\(684\) −1.61901e21 + 1.20681e21i −0.883748 + 0.658745i
\(685\) −2.03860e20 −0.110066
\(686\) 1.27996e21 3.79032e21i 0.683544 2.02416i
\(687\) 1.25108e21 + 1.75608e20i 0.660859 + 0.0927617i
\(688\) −7.82674e20 + 2.15029e20i −0.408948 + 0.112353i
\(689\) 5.38354e20i 0.278243i
\(690\) 1.20891e21 2.40893e21i 0.618054 1.23156i
\(691\) 2.97575e21i 1.50491i 0.658644 + 0.752455i \(0.271130\pi\)
−0.658644 + 0.752455i \(0.728870\pi\)
\(692\) −6.81374e20 + 8.93819e20i −0.340871 + 0.447151i
\(693\) 6.73286e20 2.35108e21i 0.333196 1.16351i
\(694\) 8.76002e20 + 2.95820e20i 0.428854 + 0.144821i
\(695\) 3.17550e21 1.53789
\(696\) −3.66705e20 + 1.79103e20i −0.175690 + 0.0858094i
\(697\) −1.44518e21 −0.684976
\(698\) 3.06440e21 + 1.03483e21i 1.43691 + 0.485234i
\(699\) 4.47811e19 3.19033e20i 0.0207738 0.147998i
\(700\) 5.81199e19 7.62410e19i 0.0266741 0.0349908i
\(701\) 1.49886e21i 0.680575i −0.940321 0.340287i \(-0.889476\pi\)
0.940321 0.340287i \(-0.110524\pi\)
\(702\) −2.96021e20 2.72490e20i −0.132982 0.122411i
\(703\) 4.41076e21i 1.96042i
\(704\) −5.75695e20 + 1.42800e21i −0.253161 + 0.627961i
\(705\) −2.64938e20 + 1.88749e21i −0.115272 + 0.821232i
\(706\) −8.97924e20 + 2.65900e21i −0.386549 + 1.14468i
\(707\) 2.43091e20 0.103544
\(708\) 1.00777e20 + 1.01870e20i 0.0424728 + 0.0429335i
\(709\) −8.12349e20 −0.338763 −0.169382 0.985551i \(-0.554177\pi\)
−0.169382 + 0.985551i \(0.554177\pi\)
\(710\) 2.62208e19 7.76469e19i 0.0108195 0.0320396i
\(711\) 6.17046e20 2.15470e21i 0.251939 0.879760i
\(712\) 2.60281e21 1.75705e21i 1.05158 0.709878i
\(713\) 2.66936e21i 1.06718i
\(714\) −2.50629e21 1.25777e21i −0.991505 0.497582i
\(715\) 3.08734e20i 0.120862i
\(716\) 5.26396e20 + 4.01281e20i 0.203923 + 0.155454i
\(717\) −2.57827e19 3.61899e18i −0.00988403 0.00138737i
\(718\) 4.18854e21 + 1.41444e21i 1.58902 + 0.536601i
\(719\) −4.05458e21 −1.52223 −0.761114 0.648618i \(-0.775347\pi\)
−0.761114 + 0.648618i \(0.775347\pi\)
\(720\) −2.65801e21 2.86753e19i −0.987559 0.0106540i
\(721\) 3.55187e21 1.30600
\(722\) 5.59668e20 + 1.88996e20i 0.203658 + 0.0687739i
\(723\) 2.09106e21 + 2.93512e20i 0.753059 + 0.105703i
\(724\) −2.97212e21 2.26570e21i −1.05932 0.807538i
\(725\) 1.36435e19i 0.00481272i
\(726\) −1.38646e21 6.95788e20i −0.484041 0.242914i
\(727\) 2.72750e21i 0.942448i −0.882014 0.471224i \(-0.843812\pi\)
0.882014 0.471224i \(-0.156188\pi\)
\(728\) 7.83007e20 5.28575e20i 0.267781 0.180768i
\(729\) 1.97909e21 + 2.19344e21i 0.669898 + 0.742453i
\(730\) 3.29511e20 9.75773e20i 0.110395 0.326909i
\(731\) 7.93725e20 0.263202
\(732\) 9.43606e20 + 9.53841e20i 0.309712 + 0.313071i
\(733\) 7.35135e20 0.238829 0.119415 0.992844i \(-0.461898\pi\)
0.119415 + 0.992844i \(0.461898\pi\)
\(734\) −6.72793e20 + 1.99232e21i −0.216352 + 0.640677i
\(735\) −9.46766e20 + 6.74501e21i −0.301361 + 2.14698i
\(736\) −2.54696e20 + 4.42088e21i −0.0802487 + 1.39292i
\(737\) 2.28565e21i 0.712859i
\(738\) −2.03209e21 + 2.94131e21i −0.627364 + 0.908068i
\(739\) 9.25192e20i 0.282747i 0.989956 + 0.141374i \(0.0451519\pi\)
−0.989956 + 0.141374i \(0.954848\pi\)
\(740\) 3.52003e21 4.61754e21i 1.06490 1.39692i
\(741\) −9.24713e19 + 6.58790e20i −0.0276930 + 0.197293i
\(742\) −8.79400e21 2.96967e21i −2.60710 0.880398i
\(743\) −5.40289e21 −1.58566 −0.792830 0.609443i \(-0.791393\pi\)
−0.792830 + 0.609443i \(0.791393\pi\)
\(744\) −2.36555e21 + 1.15537e21i −0.687283 + 0.335678i
\(745\) 5.50392e21 1.58307
\(746\) 6.85709e20 + 2.31559e20i 0.195253 + 0.0659357i
\(747\) −4.73424e20 1.35576e20i −0.133458 0.0382189i
\(748\) 9.12787e20 1.19738e21i 0.254746 0.334173i
\(749\) 3.27750e20i 0.0905584i
\(750\) −1.65921e21 + 3.30622e21i −0.453882 + 0.904425i
\(751\) 7.63656e20i 0.206823i −0.994639 0.103411i \(-0.967024\pi\)
0.994639 0.103411i \(-0.0329758\pi\)
\(752\) −8.29587e20 3.01958e21i −0.222448 0.809679i
\(753\) −5.08956e21 7.14398e20i −1.35120 0.189661i
\(754\) −4.30158e19 + 1.27381e20i −0.0113069 + 0.0334827i
\(755\) −5.04325e21 −1.31253
\(756\) −6.08402e21 + 3.33238e21i −1.56775 + 0.858699i
\(757\) 1.15431e21 0.294513 0.147256 0.989098i \(-0.452956\pi\)
0.147256 + 0.989098i \(0.452956\pi\)
\(758\) −7.36745e20 + 2.18170e21i −0.186122 + 0.551158i
\(759\) 3.73986e21 + 5.24946e20i 0.935496 + 0.131311i
\(760\) 2.45909e21 + 3.64279e21i 0.609079 + 0.902261i
\(761\) 3.07416e21i 0.753949i 0.926224 + 0.376975i \(0.123036\pi\)
−0.926224 + 0.376975i \(0.876964\pi\)
\(762\) −1.44149e21 + 2.87238e21i −0.350066 + 0.697556i
\(763\) 3.31540e21i 0.797262i
\(764\) 3.83057e21 + 2.92011e21i 0.912143 + 0.695342i