Properties

Label 16.12.e.a.5.17
Level 16
Weight 12
Character 16.5
Analytic conductor 12.293
Analytic rank 0
Dimension 42
CM No

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Newspace parameters

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

Newform invariants

Self dual: No
Analytic conductor: \(12.293490889\)
Analytic rank: \(0\)
Dimension: \(42\)
Relative dimension: \(21\) over \(\Q(i)\)
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 5.17
Character \(\chi\) = 16.5
Dual form 16.12.e.a.13.17

$q$-expansion

\(f(q)\) \(=\) \(q+(33.6326 - 30.2795i) q^{2} +(-145.072 + 145.072i) q^{3} +(214.299 - 2036.76i) q^{4} +(-4652.81 - 4652.81i) q^{5} +(-486.430 + 9271.83i) q^{6} +43253.0i q^{7} +(-54464.6 - 74990.3i) q^{8} +135056. i q^{9} +O(q^{10})\) \(q+(33.6326 - 30.2795i) q^{2} +(-145.072 + 145.072i) q^{3} +(214.299 - 2036.76i) q^{4} +(-4652.81 - 4652.81i) q^{5} +(-486.430 + 9271.83i) q^{6} +43253.0i q^{7} +(-54464.6 - 74990.3i) q^{8} +135056. i q^{9} +(-297371. - 15601.0i) q^{10} +(-685114. - 685114. i) q^{11} +(264387. + 326564. i) q^{12} +(-1.40072e6 + 1.40072e6i) q^{13} +(1.30968e6 + 1.45471e6i) q^{14} +1.34998e6 q^{15} +(-4.10246e6 - 872952. i) q^{16} +3.84591e6 q^{17} +(4.08942e6 + 4.54226e6i) q^{18} +(-7.81673e6 + 7.81673e6i) q^{19} +(-1.04737e7 + 8.47955e6i) q^{20} +(-6.27478e6 - 6.27478e6i) q^{21} +(-4.37871e7 - 2.29721e6i) q^{22} -1.99742e7i q^{23} +(1.87802e7 + 2.97769e6i) q^{24} -5.53080e6i q^{25} +(-4.69668e6 + 8.95233e7i) q^{26} +(-4.52917e7 - 4.52917e7i) q^{27} +(8.80959e7 + 9.26910e6i) q^{28} +(1.18663e8 - 1.18663e8i) q^{29} +(4.54033e7 - 4.08768e7i) q^{30} +5.32181e7 q^{31} +(-1.64409e8 + 9.48609e7i) q^{32} +1.98781e8 q^{33} +(1.29348e8 - 1.16452e8i) q^{34} +(2.01248e8 - 2.01248e8i) q^{35} +(2.75075e8 + 2.89423e7i) q^{36} +(-3.70312e8 - 3.70312e8i) q^{37} +(-2.62097e7 + 4.99584e8i) q^{38} -4.06411e8i q^{39} +(-9.55019e7 + 6.02329e8i) q^{40} -8.83045e7i q^{41} +(-4.01035e8 - 2.10395e7i) q^{42} +(1.81785e8 + 1.81785e8i) q^{43} +(-1.54223e9 + 1.24859e9i) q^{44} +(6.28388e8 - 6.28388e8i) q^{45} +(-6.04811e8 - 6.71785e8i) q^{46} -1.92709e9 q^{47} +(7.21790e8 - 4.68509e8i) q^{48} +1.06502e8 q^{49} +(-1.67470e8 - 1.86015e8i) q^{50} +(-5.57932e8 + 5.57932e8i) q^{51} +(2.55276e9 + 3.15311e9i) q^{52} +(1.39454e9 + 1.39454e9i) q^{53} +(-2.89469e9 - 1.51865e8i) q^{54} +6.37541e9i q^{55} +(3.24356e9 - 2.35576e9i) q^{56} -2.26797e9i q^{57} +(3.97881e8 - 7.58400e9i) q^{58} +(-2.09985e9 - 2.09985e9i) q^{59} +(2.89300e8 - 2.74958e9i) q^{60} +(1.23678e9 - 1.23678e9i) q^{61} +(1.78986e9 - 1.61142e9i) q^{62} -5.84156e9 q^{63} +(-2.65714e9 + 8.16863e9i) q^{64} +1.30346e10 q^{65} +(6.68552e9 - 6.01900e9i) q^{66} +(-9.73212e9 + 9.73212e9i) q^{67} +(8.24176e8 - 7.83318e9i) q^{68} +(2.89769e9 + 2.89769e9i) q^{69} +(6.74792e8 - 1.28622e10i) q^{70} -2.30143e9i q^{71} +(1.01278e10 - 7.35575e9i) q^{72} +2.18626e10i q^{73} +(-2.36675e10 - 1.24167e9i) q^{74} +(8.02362e8 + 8.02362e8i) q^{75} +(1.42457e10 + 1.75959e10i) q^{76} +(2.96333e10 - 2.96333e10i) q^{77} +(-1.23059e10 - 1.36686e10i) q^{78} -1.21163e8 q^{79} +(1.50263e10 + 2.31496e10i) q^{80} -1.07836e10 q^{81} +(-2.67382e9 - 2.96991e9i) q^{82} +(-4.69569e10 + 4.69569e10i) q^{83} +(-1.41249e10 + 1.14355e10i) q^{84} +(-1.78943e10 - 1.78943e10i) q^{85} +(1.16182e10 + 6.09530e8i) q^{86} +3.44292e10i q^{87} +(-1.40624e10 + 8.86913e10i) q^{88} -6.68453e10i q^{89} +(2.10701e9 - 4.01616e10i) q^{90} +(-6.05856e10 - 6.05856e10i) q^{91} +(-4.06827e10 - 4.28047e9i) q^{92} +(-7.72043e9 + 7.72043e9i) q^{93} +(-6.48130e10 + 5.83514e10i) q^{94} +7.27395e10 q^{95} +(1.00894e10 - 3.76126e10i) q^{96} +4.52611e10 q^{97} +(3.58195e9 - 3.22484e9i) q^{98} +(9.25284e10 - 9.25284e10i) 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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 33.6326 30.2795i 0.743182 0.669090i
\(3\) −145.072 + 145.072i −0.344679 + 0.344679i −0.858123 0.513444i \(-0.828369\pi\)
0.513444 + 0.858123i \(0.328369\pi\)
\(4\) 214.299 2036.76i 0.104638 0.994510i
\(5\) −4652.81 4652.81i −0.665856 0.665856i 0.290898 0.956754i \(-0.406046\pi\)
−0.956754 + 0.290898i \(0.906046\pi\)
\(6\) −486.430 + 9271.83i −0.0255381 + 0.486781i
\(7\) 43253.0i 0.972696i 0.873765 + 0.486348i \(0.161671\pi\)
−0.873765 + 0.486348i \(0.838329\pi\)
\(8\) −54464.6 74990.3i −0.587651 0.809114i
\(9\) 135056.i 0.762392i
\(10\) −297371. 15601.0i −0.940370 0.0493348i
\(11\) −685114. 685114.i −1.28263 1.28263i −0.939163 0.343472i \(-0.888397\pi\)
−0.343472 0.939163i \(-0.611603\pi\)
\(12\) 264387. + 326564.i 0.306721 + 0.378854i
\(13\) −1.40072e6 + 1.40072e6i −1.04632 + 1.04632i −0.0474458 + 0.998874i \(0.515108\pi\)
−0.998874 + 0.0474458i \(0.984892\pi\)
\(14\) 1.30968e6 + 1.45471e6i 0.650821 + 0.722890i
\(15\) 1.34998e6 0.459014
\(16\) −4.10246e6 872952.i −0.978102 0.208128i
\(17\) 3.84591e6 0.656946 0.328473 0.944513i \(-0.393466\pi\)
0.328473 + 0.944513i \(0.393466\pi\)
\(18\) 4.08942e6 + 4.54226e6i 0.510109 + 0.566596i
\(19\) −7.81673e6 + 7.81673e6i −0.724236 + 0.724236i −0.969465 0.245229i \(-0.921137\pi\)
0.245229 + 0.969465i \(0.421137\pi\)
\(20\) −1.04737e7 + 8.47955e6i −0.731875 + 0.592527i
\(21\) −6.27478e6 6.27478e6i −0.335268 0.335268i
\(22\) −4.37871e7 2.29721e6i −1.81143 0.0950333i
\(23\) 1.99742e7i 0.647094i −0.946212 0.323547i \(-0.895125\pi\)
0.946212 0.323547i \(-0.104875\pi\)
\(24\) 1.87802e7 + 2.97769e6i 0.481436 + 0.0763338i
\(25\) 5.53080e6i 0.113271i
\(26\) −4.69668e6 + 8.95233e7i −0.0775242 + 1.47769i
\(27\) −4.52917e7 4.52917e7i −0.607460 0.607460i
\(28\) 8.80959e7 + 9.26910e6i 0.967357 + 0.101781i
\(29\) 1.18663e8 1.18663e8i 1.07430 1.07430i 0.0772929 0.997008i \(-0.475372\pi\)
0.997008 0.0772929i \(-0.0246277\pi\)
\(30\) 4.54033e7 4.08768e7i 0.341131 0.307121i
\(31\) 5.32181e7 0.333864 0.166932 0.985968i \(-0.446614\pi\)
0.166932 + 0.985968i \(0.446614\pi\)
\(32\) −1.64409e8 + 9.48609e7i −0.866163 + 0.499761i
\(33\) 1.98781e8 0.884196
\(34\) 1.29348e8 1.16452e8i 0.488230 0.439556i
\(35\) 2.01248e8 2.01248e8i 0.647676 0.647676i
\(36\) 2.75075e8 + 2.89423e7i 0.758207 + 0.0797755i
\(37\) −3.70312e8 3.70312e8i −0.877928 0.877928i 0.115392 0.993320i \(-0.463188\pi\)
−0.993320 + 0.115392i \(0.963188\pi\)
\(38\) −2.62097e7 + 4.99584e8i −0.0536603 + 1.02282i
\(39\) 4.06411e8i 0.721290i
\(40\) −9.55019e7 + 6.02329e8i −0.147463 + 0.930045i
\(41\) 8.83045e7i 0.119034i −0.998227 0.0595171i \(-0.981044\pi\)
0.998227 0.0595171i \(-0.0189561\pi\)
\(42\) −4.01035e8 2.10395e7i −0.473490 0.0248408i
\(43\) 1.81785e8 + 1.81785e8i 0.188573 + 0.188573i 0.795079 0.606506i \(-0.207429\pi\)
−0.606506 + 0.795079i \(0.707429\pi\)
\(44\) −1.54223e9 + 1.24859e9i −1.40981 + 1.14138i
\(45\) 6.28388e8 6.28388e8i 0.507644 0.507644i
\(46\) −6.04811e8 6.71785e8i −0.432964 0.480908i
\(47\) −1.92709e9 −1.22564 −0.612821 0.790222i \(-0.709965\pi\)
−0.612821 + 0.790222i \(0.709965\pi\)
\(48\) 7.21790e8 4.68509e8i 0.408869 0.265394i
\(49\) 1.06502e8 0.0538618
\(50\) −1.67470e8 1.86015e8i −0.0757883 0.0841808i
\(51\) −5.57932e8 + 5.57932e8i −0.226436 + 0.226436i
\(52\) 2.55276e9 + 3.15311e9i 0.931091 + 1.15006i
\(53\) 1.39454e9 + 1.39454e9i 0.458051 + 0.458051i 0.898015 0.439964i \(-0.145009\pi\)
−0.439964 + 0.898015i \(0.645009\pi\)
\(54\) −2.89469e9 1.51865e8i −0.857899 0.0450081i
\(55\) 6.37541e9i 1.70810i
\(56\) 3.24356e9 2.35576e9i 0.787023 0.571606i
\(57\) 2.26797e9i 0.499259i
\(58\) 3.97881e8 7.58400e9i 0.0795974 1.51720i
\(59\) −2.09985e9 2.09985e9i −0.382385 0.382385i 0.489575 0.871961i \(-0.337152\pi\)
−0.871961 + 0.489575i \(0.837152\pi\)
\(60\) 2.89300e8 2.74958e9i 0.0480305 0.456494i
\(61\) 1.23678e9 1.23678e9i 0.187491 0.187491i −0.607120 0.794610i \(-0.707675\pi\)
0.794610 + 0.607120i \(0.207675\pi\)
\(62\) 1.78986e9 1.61142e9i 0.248122 0.223385i
\(63\) −5.84156e9 −0.741576
\(64\) −2.65714e9 + 8.16863e9i −0.309332 + 0.950954i
\(65\) 1.30346e10 1.39340
\(66\) 6.68552e9 6.01900e9i 0.657118 0.591606i
\(67\) −9.73212e9 + 9.73212e9i −0.880635 + 0.880635i −0.993599 0.112964i \(-0.963966\pi\)
0.112964 + 0.993599i \(0.463966\pi\)
\(68\) 8.24176e8 7.83318e9i 0.0687418 0.653340i
\(69\) 2.89769e9 + 2.89769e9i 0.223040 + 0.223040i
\(70\) 6.74792e8 1.28622e10i 0.0479878 0.914694i
\(71\) 2.30143e9i 0.151383i −0.997131 0.0756914i \(-0.975884\pi\)
0.997131 0.0756914i \(-0.0241164\pi\)
\(72\) 1.01278e10 7.35575e9i 0.616863 0.448021i
\(73\) 2.18626e10i 1.23432i 0.786840 + 0.617158i \(0.211716\pi\)
−0.786840 + 0.617158i \(0.788284\pi\)
\(74\) −2.36675e10 1.24167e9i −1.23987 0.0650477i
\(75\) 8.02362e8 + 8.02362e8i 0.0390421 + 0.0390421i
\(76\) 1.42457e10 + 1.75959e10i 0.644478 + 0.796043i
\(77\) 2.96333e10 2.96333e10i 1.24761 1.24761i
\(78\) −1.23059e10 1.36686e10i −0.482607 0.536049i
\(79\) −1.21163e8 −0.00443018 −0.00221509 0.999998i \(-0.500705\pi\)
−0.00221509 + 0.999998i \(0.500705\pi\)
\(80\) 1.50263e10 + 2.31496e10i 0.512692 + 0.789858i
\(81\) −1.07836e10 −0.343634
\(82\) −2.67382e9 2.96991e9i −0.0796446 0.0884641i
\(83\) −4.69569e10 + 4.69569e10i −1.30849 + 1.30849i −0.385984 + 0.922505i \(0.626138\pi\)
−0.922505 + 0.385984i \(0.873862\pi\)
\(84\) −1.41249e10 + 1.14355e10i −0.368510 + 0.298346i
\(85\) −1.78943e10 1.78943e10i −0.437432 0.437432i
\(86\) 1.16182e10 + 6.09530e8i 0.266317 + 0.0139718i
\(87\) 3.44292e10i 0.740579i
\(88\) −1.40624e10 + 8.86913e10i −0.284056 + 1.79154i
\(89\) 6.68453e10i 1.26890i −0.772966 0.634448i \(-0.781228\pi\)
0.772966 0.634448i \(-0.218772\pi\)
\(90\) 2.10701e9 4.01616e10i 0.0376125 0.716931i
\(91\) −6.05856e10 6.05856e10i −1.01775 1.01775i
\(92\) −4.06827e10 4.28047e9i −0.643541 0.0677108i
\(93\) −7.72043e9 + 7.72043e9i −0.115076 + 0.115076i
\(94\) −6.48130e10 + 5.83514e10i −0.910875 + 0.820064i
\(95\) 7.27395e10 0.964474
\(96\) 1.00894e10 3.76126e10i 0.126291 0.470806i
\(97\) 4.52611e10 0.535156 0.267578 0.963536i \(-0.413777\pi\)
0.267578 + 0.963536i \(0.413777\pi\)
\(98\) 3.58195e9 3.22484e9i 0.0400291 0.0360384i
\(99\) 9.25284e10 9.25284e10i 0.977871 0.977871i
\(100\) −1.12649e10 1.18525e9i −0.112649 0.0118525i
\(101\) 5.15862e10 + 5.15862e10i 0.488389 + 0.488389i 0.907798 0.419408i \(-0.137762\pi\)
−0.419408 + 0.907798i \(0.637762\pi\)
\(102\) −1.87076e9 + 3.56586e10i −0.0167771 + 0.319789i
\(103\) 9.16100e10i 0.778643i −0.921102 0.389321i \(-0.872710\pi\)
0.921102 0.389321i \(-0.127290\pi\)
\(104\) 1.81331e11 + 2.87508e10i 1.46146 + 0.231721i
\(105\) 5.83908e10i 0.446481i
\(106\) 8.91281e10 + 4.67594e9i 0.646893 + 0.0339381i
\(107\) −4.25889e10 4.25889e10i −0.293553 0.293553i 0.544929 0.838482i \(-0.316556\pi\)
−0.838482 + 0.544929i \(0.816556\pi\)
\(108\) −1.01954e11 + 8.25422e10i −0.667689 + 0.540562i
\(109\) 1.91614e11 1.91614e11i 1.19284 1.19284i 0.216569 0.976267i \(-0.430513\pi\)
0.976267 0.216569i \(-0.0694867\pi\)
\(110\) 1.93045e11 + 2.14422e11i 1.14287 + 1.26943i
\(111\) 1.07444e11 0.605207
\(112\) 3.77578e10 1.77444e11i 0.202445 0.951396i
\(113\) −2.60158e11 −1.32833 −0.664166 0.747586i \(-0.731213\pi\)
−0.664166 + 0.747586i \(0.731213\pi\)
\(114\) −6.86731e10 7.62776e10i −0.334049 0.371040i
\(115\) −9.29364e10 + 9.29364e10i −0.430871 + 0.430871i
\(116\) −2.16258e11 2.67117e11i −0.955991 1.18082i
\(117\) −1.89176e11 1.89176e11i −0.797706 0.797706i
\(118\) −1.34206e11 7.04085e9i −0.540032 0.0283318i
\(119\) 1.66347e11i 0.639009i
\(120\) −7.35262e10 1.01235e11i −0.269740 0.371395i
\(121\) 6.53450e11i 2.29030i
\(122\) 4.14698e9 7.90455e10i 0.0138916 0.264788i
\(123\) 1.28105e10 + 1.28105e10i 0.0410286 + 0.0410286i
\(124\) 1.14046e10 1.08392e11i 0.0349350 0.332032i
\(125\) −2.52922e11 + 2.52922e11i −0.741278 + 0.741278i
\(126\) −1.96467e11 + 1.76880e11i −0.551126 + 0.496181i
\(127\) 2.49589e11 0.670355 0.335177 0.942155i \(-0.391204\pi\)
0.335177 + 0.942155i \(0.391204\pi\)
\(128\) 1.57976e11 + 3.55189e11i 0.406383 + 0.913703i
\(129\) −5.27435e10 −0.129995
\(130\) 4.38388e11 3.94682e11i 1.03555 0.932307i
\(131\) 2.54164e10 2.54164e10i 0.0575602 0.0575602i −0.677741 0.735301i \(-0.737041\pi\)
0.735301 + 0.677741i \(0.237041\pi\)
\(132\) 4.25987e10 4.04869e11i 0.0925208 0.879342i
\(133\) −3.38097e11 3.38097e11i −0.704462 0.704462i
\(134\) −3.26321e10 + 6.22000e11i −0.0652482 + 1.24370i
\(135\) 4.21468e11i 0.808962i
\(136\) −2.09466e11 2.88406e11i −0.386055 0.531545i
\(137\) 8.74862e11i 1.54873i 0.632737 + 0.774367i \(0.281931\pi\)
−0.632737 + 0.774367i \(0.718069\pi\)
\(138\) 1.85198e11 + 9.71606e9i 0.314993 + 0.0165255i
\(139\) −5.58327e11 5.58327e11i −0.912657 0.912657i 0.0838239 0.996481i \(-0.473287\pi\)
−0.996481 + 0.0838239i \(0.973287\pi\)
\(140\) −3.66766e11 4.53021e11i −0.576349 0.711892i
\(141\) 2.79566e11 2.79566e11i 0.422453 0.422453i
\(142\) −6.96862e10 7.74030e10i −0.101289 0.112505i
\(143\) 1.91931e12 2.68409
\(144\) 1.17897e11 5.54059e11i 0.158675 0.745697i
\(145\) −1.10423e12 −1.43066
\(146\) 6.61989e11 + 7.35295e11i 0.825867 + 0.917321i
\(147\) −1.54505e10 + 1.54505e10i −0.0185651 + 0.0185651i
\(148\) −8.33594e11 + 6.74879e11i −0.964973 + 0.781244i
\(149\) 1.19866e11 + 1.19866e11i 0.133712 + 0.133712i 0.770795 0.637083i \(-0.219859\pi\)
−0.637083 + 0.770795i \(0.719859\pi\)
\(150\) 5.12806e10 + 2.69034e9i 0.0551380 + 0.00289272i
\(151\) 7.62184e11i 0.790108i −0.918658 0.395054i \(-0.870726\pi\)
0.918658 0.395054i \(-0.129274\pi\)
\(152\) 1.01191e12 + 1.60443e11i 1.01159 + 0.160392i
\(153\) 5.19411e11i 0.500851i
\(154\) 9.93613e10 1.89392e12i 0.0924385 1.76197i
\(155\) −2.47614e11 2.47614e11i −0.222306 0.222306i
\(156\) −8.27760e11 8.70935e10i −0.717330 0.0754746i
\(157\) 9.25699e11 9.25699e11i 0.774500 0.774500i −0.204390 0.978890i \(-0.565521\pi\)
0.978890 + 0.204390i \(0.0655209\pi\)
\(158\) −4.07503e9 + 3.66876e9i −0.00329243 + 0.00296419i
\(159\) −4.04616e11 −0.315762
\(160\) 1.20633e12 + 3.23593e11i 0.909509 + 0.243972i
\(161\) 8.63946e11 0.629426
\(162\) −3.62680e11 + 3.26523e11i −0.255383 + 0.229922i
\(163\) −2.21603e11 + 2.21603e11i −0.150850 + 0.150850i −0.778497 0.627648i \(-0.784018\pi\)
0.627648 + 0.778497i \(0.284018\pi\)
\(164\) −1.79855e11 1.89236e10i −0.118381 0.0124555i
\(165\) −9.24891e11 9.24891e11i −0.588747 0.588747i
\(166\) −1.57448e11 + 3.00112e12i −0.0969489 + 1.84794i
\(167\) 8.35995e11i 0.498039i 0.968498 + 0.249019i \(0.0801083\pi\)
−0.968498 + 0.249019i \(0.919892\pi\)
\(168\) −1.28794e11 + 8.12301e11i −0.0742496 + 0.468291i
\(169\) 2.13190e12i 1.18957i
\(170\) −1.14366e12 6.00001e10i −0.617772 0.0324103i
\(171\) −1.05569e12 1.05569e12i −0.552152 0.552152i
\(172\) 4.09207e11 3.31295e11i 0.207270 0.167806i
\(173\) 1.16818e12 1.16818e12i 0.573132 0.573132i −0.359870 0.933002i \(-0.617179\pi\)
0.933002 + 0.359870i \(0.117179\pi\)
\(174\) 1.04250e12 + 1.15794e12i 0.495514 + 0.550385i
\(175\) 2.39224e11 0.110178
\(176\) 2.21258e12 + 3.40872e12i 0.987595 + 1.52150i
\(177\) 6.09256e11 0.263601
\(178\) −2.02404e12 2.24818e12i −0.849005 0.943020i
\(179\) −9.75915e11 + 9.75915e11i −0.396936 + 0.396936i −0.877151 0.480215i \(-0.840559\pi\)
0.480215 + 0.877151i \(0.340559\pi\)
\(180\) −1.14521e12 1.41454e12i −0.451738 0.557976i
\(181\) 2.26186e12 + 2.26186e12i 0.865435 + 0.865435i 0.991963 0.126528i \(-0.0403835\pi\)
−0.126528 + 0.991963i \(0.540384\pi\)
\(182\) −3.87215e12 2.03145e11i −1.43734 0.0754075i
\(183\) 3.58844e11i 0.129248i
\(184\) −1.49787e12 + 1.08789e12i −0.523573 + 0.380265i
\(185\) 3.44599e12i 1.16915i
\(186\) −2.58869e10 + 4.93429e11i −0.00852625 + 0.162519i
\(187\) −2.63488e12 2.63488e12i −0.842622 0.842622i
\(188\) −4.12974e11 + 3.92501e12i −0.128249 + 1.21891i
\(189\) 1.95900e12 1.95900e12i 0.590874 0.590874i
\(190\) 2.44642e12 2.20252e12i 0.716780 0.645320i
\(191\) −1.55903e12 −0.443785 −0.221892 0.975071i \(-0.571223\pi\)
−0.221892 + 0.975071i \(0.571223\pi\)
\(192\) −7.99560e11 1.57051e12i −0.221154 0.434395i
\(193\) −3.02138e12 −0.812157 −0.406079 0.913838i \(-0.633104\pi\)
−0.406079 + 0.913838i \(0.633104\pi\)
\(194\) 1.52225e12 1.37049e12i 0.397718 0.358068i
\(195\) −1.89095e12 + 1.89095e12i −0.480275 + 0.480275i
\(196\) 2.28234e10 2.16920e11i 0.00563601 0.0535662i
\(197\) −2.13585e12 2.13585e12i −0.512868 0.512868i 0.402536 0.915404i \(-0.368129\pi\)
−0.915404 + 0.402536i \(0.868129\pi\)
\(198\) 3.10251e11 5.91369e12i 0.0724527 1.38102i
\(199\) 2.41327e12i 0.548169i 0.961706 + 0.274084i \(0.0883748\pi\)
−0.961706 + 0.274084i \(0.911625\pi\)
\(200\) −4.14756e11 + 3.01233e11i −0.0916490 + 0.0665637i
\(201\) 2.82371e12i 0.607074i
\(202\) 3.29698e12 + 1.72970e11i 0.689738 + 0.0361859i
\(203\) 5.13253e12 + 5.13253e12i 1.04497 + 1.04497i
\(204\) 1.01681e12 + 1.25594e12i 0.201499 + 0.248887i
\(205\) −4.10864e11 + 4.10864e11i −0.0792597 + 0.0792597i
\(206\) −2.77391e12 3.08108e12i −0.520982 0.578673i
\(207\) 2.69763e12 0.493339
\(208\) 6.96918e12 4.52365e12i 1.24118 0.805639i
\(209\) 1.07107e13 1.85786
\(210\) 1.76805e12 + 1.96383e12i 0.298736 + 0.331817i
\(211\) −5.23620e12 + 5.23620e12i −0.861912 + 0.861912i −0.991560 0.129648i \(-0.958615\pi\)
0.129648 + 0.991560i \(0.458615\pi\)
\(212\) 3.13919e12 2.54149e12i 0.503466 0.407607i
\(213\) 3.33872e11 + 3.33872e11i 0.0521785 + 0.0521785i
\(214\) −2.72195e12 1.42802e11i −0.414576 0.0217500i
\(215\) 1.69162e12i 0.251126i
\(216\) −9.29641e11 + 5.86323e12i −0.134530 + 0.848480i
\(217\) 2.30184e12i 0.324749i
\(218\) 6.42487e11 1.22464e13i 0.0883799 1.68461i
\(219\) −3.17164e12 3.17164e12i −0.425443 0.425443i
\(220\) 1.29852e13 + 1.36625e12i 1.69872 + 0.178733i
\(221\) −5.38706e12 + 5.38706e12i −0.687376 + 0.687376i
\(222\) 3.61360e12 3.25334e12i 0.449779 0.404938i
\(223\) −6.20344e12 −0.753279 −0.376639 0.926360i \(-0.622920\pi\)
−0.376639 + 0.926360i \(0.622920\pi\)
\(224\) −4.10302e12 7.11117e12i −0.486115 0.842514i
\(225\) 7.46965e11 0.0863568
\(226\) −8.74979e12 + 7.87747e12i −0.987191 + 0.888772i
\(227\) 9.21304e12 9.21304e12i 1.01452 1.01452i 0.0146273 0.999893i \(-0.495344\pi\)
0.999893 0.0146273i \(-0.00465618\pi\)
\(228\) −4.61930e12 4.86024e11i −0.496518 0.0522416i
\(229\) 2.22123e12 + 2.22123e12i 0.233077 + 0.233077i 0.813976 0.580899i \(-0.197299\pi\)
−0.580899 + 0.813976i \(0.697299\pi\)
\(230\) −3.11619e11 + 5.93976e12i −0.0319242 + 0.608507i
\(231\) 8.59788e12i 0.860054i
\(232\) −1.53615e13 2.43563e12i −1.50055 0.237918i
\(233\) 3.09041e12i 0.294821i −0.989075 0.147411i \(-0.952906\pi\)
0.989075 0.147411i \(-0.0470939\pi\)
\(234\) −1.20906e13 6.34312e11i −1.12658 0.0591038i
\(235\) 8.96638e12 + 8.96638e12i 0.816101 + 0.816101i
\(236\) −4.72687e12 + 3.82688e12i −0.420298 + 0.340274i
\(237\) 1.75773e10 1.75773e10i 0.00152699 0.00152699i
\(238\) 5.03691e12 + 5.59468e12i 0.427554 + 0.474900i
\(239\) −2.10296e13 −1.74439 −0.872194 0.489160i \(-0.837304\pi\)
−0.872194 + 0.489160i \(0.837304\pi\)
\(240\) −5.53824e12 1.17847e12i −0.448962 0.0955336i
\(241\) −1.90768e13 −1.51151 −0.755757 0.654852i \(-0.772731\pi\)
−0.755757 + 0.654852i \(0.772731\pi\)
\(242\) 1.97862e13 + 2.19772e13i 1.53242 + 1.70211i
\(243\) 9.58768e12 9.58768e12i 0.725904 0.725904i
\(244\) −2.25399e12 2.78407e12i −0.166843 0.206080i
\(245\) −4.95536e11 4.95536e11i −0.0358642 0.0358642i
\(246\) 8.18744e11 + 4.29539e10i 0.0579436 + 0.00303990i
\(247\) 2.18982e13i 1.51557i
\(248\) −2.89850e12 3.99084e12i −0.196196 0.270134i
\(249\) 1.36242e13i 0.902019i
\(250\) −8.48055e11 + 1.61648e13i −0.0549230 + 1.04689i
\(251\) 7.66376e12 + 7.66376e12i 0.485553 + 0.485553i 0.906900 0.421347i \(-0.138442\pi\)
−0.421347 + 0.906900i \(0.638442\pi\)
\(252\) −1.25184e12 + 1.18978e13i −0.0775973 + 0.737505i
\(253\) −1.36846e13 + 1.36846e13i −0.829985 + 0.829985i
\(254\) 8.39431e12 7.55743e12i 0.498195 0.448527i
\(255\) 5.19190e12 0.301547
\(256\) 1.60681e13 + 7.16249e12i 0.913366 + 0.407140i
\(257\) 7.28346e12 0.405234 0.202617 0.979258i \(-0.435055\pi\)
0.202617 + 0.979258i \(0.435055\pi\)
\(258\) −1.77390e12 + 1.59705e12i −0.0966097 + 0.0869781i
\(259\) 1.60171e13 1.60171e13i 0.853957 0.853957i
\(260\) 2.79331e12 2.65484e13i 0.145803 1.38575i
\(261\) 1.60261e13 + 1.60261e13i 0.819039 + 0.819039i
\(262\) 8.52221e10 1.62442e12i 0.00426477 0.0812906i
\(263\) 2.25606e13i 1.10559i −0.833317 0.552795i \(-0.813561\pi\)
0.833317 0.552795i \(-0.186439\pi\)
\(264\) −1.08265e13 1.49066e13i −0.519599 0.715415i
\(265\) 1.29771e13i 0.609993i
\(266\) −2.16085e13 1.13365e12i −0.994891 0.0521952i
\(267\) 9.69735e12 + 9.69735e12i 0.437362 + 0.437362i
\(268\) 1.77364e13 + 2.19076e13i 0.783653 + 0.967949i
\(269\) −1.76010e13 + 1.76010e13i −0.761904 + 0.761904i −0.976666 0.214762i \(-0.931102\pi\)
0.214762 + 0.976666i \(0.431102\pi\)
\(270\) 1.27618e13 + 1.41750e13i 0.541268 + 0.601206i
\(271\) 2.19742e13 0.913236 0.456618 0.889663i \(-0.349061\pi\)
0.456618 + 0.889663i \(0.349061\pi\)
\(272\) −1.57777e13 3.35729e12i −0.642560 0.136729i
\(273\) 1.75785e13 0.701596
\(274\) 2.64904e13 + 2.94239e13i 1.03624 + 1.15099i
\(275\) −3.78923e12 + 3.78923e12i −0.145285 + 0.145285i
\(276\) 6.52287e12 5.28092e12i 0.245154 0.198477i
\(277\) −2.95361e13 2.95361e13i −1.08821 1.08821i −0.995712 0.0925024i \(-0.970513\pi\)
−0.0925024 0.995712i \(-0.529487\pi\)
\(278\) −3.56839e13 1.87209e12i −1.28892 0.0676208i
\(279\) 7.18740e12i 0.254536i
\(280\) −2.60526e13 4.13075e12i −0.904652 0.143436i
\(281\) 4.87360e13i 1.65945i −0.558169 0.829727i \(-0.688496\pi\)
0.558169 0.829727i \(-0.311504\pi\)
\(282\) 9.37393e11 1.78676e13i 0.0313005 0.596619i
\(283\) −1.02370e13 1.02370e13i −0.335233 0.335233i 0.519337 0.854570i \(-0.326179\pi\)
−0.854570 + 0.519337i \(0.826179\pi\)
\(284\) −4.68745e12 4.93195e11i −0.150552 0.0158405i
\(285\) −1.05524e13 + 1.05524e13i −0.332434 + 0.332434i
\(286\) 6.45514e13 5.81159e13i 1.99477 1.79590i
\(287\) 3.81944e12 0.115784
\(288\) −1.28115e13 2.22043e13i −0.381014 0.660356i
\(289\) −1.94809e13 −0.568422
\(290\) −3.71382e13 + 3.34357e13i −1.06324 + 0.957240i
\(291\) −6.56610e12 + 6.56610e12i −0.184457 + 0.184457i
\(292\) 4.45288e13 + 4.68514e12i 1.22754 + 0.129157i
\(293\) 3.01060e13 + 3.01060e13i 0.814480 + 0.814480i 0.985302 0.170822i \(-0.0546422\pi\)
−0.170822 + 0.985302i \(0.554642\pi\)
\(294\) −5.18059e10 + 9.87472e11i −0.00137553 + 0.0262189i
\(295\) 1.95404e13i 0.509228i
\(296\) −7.60090e12 + 4.79388e13i −0.194429 + 1.22626i
\(297\) 6.20599e13i 1.55830i
\(298\) 7.66087e12 + 4.01914e11i 0.188838 + 0.00990702i
\(299\) 2.79784e13 + 2.79784e13i 0.677067 + 0.677067i
\(300\) 1.80616e12 1.46227e12i 0.0429131 0.0347425i
\(301\) −7.86273e12 + 7.86273e12i −0.183425 + 0.183425i
\(302\) −2.30786e13 2.56342e13i −0.528653 0.587194i
\(303\) −1.49674e13 −0.336675
\(304\) 3.88914e13 2.52442e13i 0.859110 0.557643i
\(305\) −1.15090e13 −0.249684
\(306\) 1.57275e13 + 1.74691e13i 0.335114 + 0.372223i
\(307\) −1.69140e13 + 1.69140e13i −0.353986 + 0.353986i −0.861590 0.507605i \(-0.830531\pi\)
0.507605 + 0.861590i \(0.330531\pi\)
\(308\) −5.40053e13 6.67061e13i −1.11022 1.37131i
\(309\) 1.32900e13 + 1.32900e13i 0.268382 + 0.268382i
\(310\) −1.58255e13 8.30257e11i −0.313956 0.0164711i
\(311\) 2.82033e13i 0.549691i −0.961488 0.274845i \(-0.911373\pi\)
0.961488 0.274845i \(-0.0886266\pi\)
\(312\) −3.04768e13 + 2.21350e13i −0.583606 + 0.423867i
\(313\) 4.08430e13i 0.768465i 0.923236 + 0.384232i \(0.125534\pi\)
−0.923236 + 0.384232i \(0.874466\pi\)
\(314\) 3.10390e12 5.91633e13i 0.0573845 1.09380i
\(315\) 2.71797e13 + 2.71797e13i 0.493783 + 0.493783i
\(316\) −2.59652e10 + 2.46780e11i −0.000463567 + 0.00440586i
\(317\) 1.25175e13 1.25175e13i 0.219630 0.219630i −0.588713 0.808342i \(-0.700365\pi\)
0.808342 + 0.588713i \(0.200365\pi\)
\(318\) −1.36083e13 + 1.22516e13i −0.234668 + 0.211273i
\(319\) −1.62595e14 −2.75587
\(320\) 5.03703e13 2.56439e13i 0.839170 0.427228i
\(321\) 1.23569e13 0.202363
\(322\) 2.90567e13 2.61599e13i 0.467778 0.421142i
\(323\) −3.00624e13 + 3.00624e13i −0.475784 + 0.475784i
\(324\) −2.31092e12 + 2.19636e13i −0.0359573 + 0.341748i
\(325\) 7.74713e12 + 7.74713e12i 0.118517 + 0.118517i
\(326\) −7.43043e11 + 1.41631e13i −0.0111768 + 0.213041i
\(327\) 5.55954e13i 0.822292i
\(328\) −6.62198e12 + 4.80947e12i −0.0963123 + 0.0699506i
\(329\) 8.33524e13i 1.19218i
\(330\) −5.91117e13 3.10119e12i −0.831471 0.0436216i
\(331\) −8.71388e13 8.71388e13i −1.20547 1.20547i −0.972478 0.232996i \(-0.925147\pi\)
−0.232996 0.972478i \(-0.574853\pi\)
\(332\) 8.55771e13 + 1.05703e14i 1.16439 + 1.43822i
\(333\) 5.00127e13 5.00127e13i 0.669326 0.669326i
\(334\) 2.53136e13 + 2.81167e13i 0.333233 + 0.370133i
\(335\) 9.05635e13 1.17275
\(336\) 2.02644e13 + 3.12196e13i 0.258148 + 0.397705i
\(337\) 1.31167e14 1.64384 0.821919 0.569604i \(-0.192904\pi\)
0.821919 + 0.569604i \(0.192904\pi\)
\(338\) −6.45529e13 7.17013e13i −0.795929 0.884066i
\(339\) 3.77416e13 3.77416e13i 0.457848 0.457848i
\(340\) −4.02811e13 + 3.26116e13i −0.480803 + 0.389258i
\(341\) −3.64605e13 3.64605e13i −0.428226 0.428226i
\(342\) −6.74715e13 3.53977e12i −0.779789 0.0409102i
\(343\) 9.01319e13i 1.02509i
\(344\) 3.73124e12 2.35329e13i 0.0417621 0.263393i
\(345\) 2.69649e13i 0.297025i
\(346\) 3.91693e12 7.46606e13i 0.0424647 0.809419i
\(347\) 1.77089e13 + 1.77089e13i 0.188964 + 0.188964i 0.795248 0.606284i \(-0.207341\pi\)
−0.606284 + 0.795248i \(0.707341\pi\)
\(348\) 7.01240e13 + 7.37816e12i 0.736513 + 0.0774930i
\(349\) 6.42641e13 6.42641e13i 0.664399 0.664399i −0.292015 0.956414i \(-0.594326\pi\)
0.956414 + 0.292015i \(0.0943257\pi\)
\(350\) 8.04571e12 7.24359e12i 0.0818823 0.0737190i
\(351\) 1.26882e14 1.27120
\(352\) 1.77629e14 + 4.76482e13i 1.75198 + 0.469961i
\(353\) −5.20465e13 −0.505395 −0.252697 0.967545i \(-0.581318\pi\)
−0.252697 + 0.967545i \(0.581318\pi\)
\(354\) 2.04908e13 1.84480e13i 0.195903 0.176373i
\(355\) −1.07081e13 + 1.07081e13i −0.100799 + 0.100799i
\(356\) −1.36148e14 1.43249e13i −1.26193 0.132775i
\(357\) −2.41322e13 2.41322e13i −0.220253 0.220253i
\(358\) −3.27228e12 + 6.23728e13i −0.0294099 + 0.560581i
\(359\) 6.76326e13i 0.598599i −0.954159 0.299300i \(-0.903247\pi\)
0.954159 0.299300i \(-0.0967530\pi\)
\(360\) −8.13479e13 1.28981e13i −0.709059 0.112424i
\(361\) 5.71224e12i 0.0490362i
\(362\) 1.44560e14 + 7.58410e12i 1.22223 + 0.0641220i
\(363\) −9.47971e13 9.47971e13i −0.789421 0.789421i
\(364\) −1.36382e14 + 1.10415e14i −1.11866 + 0.905668i
\(365\) 1.01723e14 1.01723e14i 0.821877 0.821877i
\(366\) 1.08656e13 + 1.20689e13i 0.0864787 + 0.0960550i
\(367\) −9.78016e13 −0.766801 −0.383400 0.923582i \(-0.625247\pi\)
−0.383400 + 0.923582i \(0.625247\pi\)
\(368\) −1.74365e13 + 8.19434e13i −0.134678 + 0.632923i
\(369\) 1.19260e13 0.0907508
\(370\) 1.04343e14 + 1.15897e14i 0.782265 + 0.868889i
\(371\) −6.03181e13 + 6.03181e13i −0.445545 + 0.445545i
\(372\) 1.40702e13 + 1.73791e13i 0.102403 + 0.126486i
\(373\) −2.41318e13 2.41318e13i −0.173058 0.173058i 0.615264 0.788322i \(-0.289050\pi\)
−0.788322 + 0.615264i \(0.789050\pi\)
\(374\) −1.68401e14 8.83485e12i −1.19001 0.0624318i
\(375\) 7.33835e13i 0.511007i
\(376\) 1.04958e14 + 1.44513e14i 0.720250 + 0.991684i
\(377\) 3.32428e14i 2.24813i
\(378\) 6.56860e12 1.25204e14i 0.0437792 0.834475i
\(379\) −4.15025e13 4.15025e13i −0.272620 0.272620i 0.557534 0.830154i \(-0.311748\pi\)
−0.830154 + 0.557534i \(0.811748\pi\)
\(380\) 1.55880e13 1.48153e14i 0.100921 0.959180i
\(381\) −3.62082e13 + 3.62082e13i −0.231057 + 0.231057i
\(382\) −5.24343e13 + 4.72068e13i −0.329813 + 0.296932i
\(383\) 2.16012e14 1.33932 0.669661 0.742667i \(-0.266439\pi\)
0.669661 + 0.742667i \(0.266439\pi\)
\(384\) −7.44456e13 2.86100e13i −0.455006 0.174863i
\(385\) −2.75756e14 −1.66146
\(386\) −1.01617e14 + 9.14860e13i −0.603581 + 0.543406i
\(387\) −2.45510e13 + 2.45510e13i −0.143767 + 0.143767i
\(388\) 9.69943e12 9.21859e13i 0.0559979 0.532219i
\(389\) −1.03236e14 1.03236e14i −0.587638 0.587638i 0.349353 0.936991i \(-0.386401\pi\)
−0.936991 + 0.349353i \(0.886401\pi\)
\(390\) −6.34042e12 + 1.20855e14i −0.0355847 + 0.678279i
\(391\) 7.68191e13i 0.425106i
\(392\) −5.80062e12 7.98665e12i −0.0316520 0.0435804i
\(393\) 7.37440e12i 0.0396796i
\(394\) −1.36506e14 7.16156e12i −0.724309 0.0379995i
\(395\) 5.63749e11 + 5.63749e11i 0.00294986 + 0.00294986i
\(396\) −1.68629e14 2.08287e14i −0.870180 1.07483i
\(397\) 1.40605e13 1.40605e13i 0.0715571 0.0715571i −0.670422 0.741980i \(-0.733887\pi\)
0.741980 + 0.670422i \(0.233887\pi\)
\(398\) 7.30728e13 + 8.11646e13i 0.366774 + 0.407389i
\(399\) 9.80965e13 0.485627
\(400\) −4.82812e12 + 2.26899e13i −0.0235748 + 0.110790i
\(401\) 3.66210e13 0.176375 0.0881874 0.996104i \(-0.471893\pi\)
0.0881874 + 0.996104i \(0.471893\pi\)
\(402\) −8.55005e13 9.49685e13i −0.406187 0.451166i
\(403\) −7.45439e13 + 7.45439e13i −0.349329 + 0.349329i
\(404\) 1.16123e14 9.40137e13i 0.536812 0.434604i
\(405\) 5.01741e13 + 5.01741e13i 0.228811 + 0.228811i
\(406\) 3.28031e14 + 1.72095e13i 1.47578 + 0.0774241i
\(407\) 5.07412e14i 2.25212i
\(408\) 7.22270e13 + 1.14519e13i 0.316278 + 0.0501472i
\(409\) 1.86904e14i 0.807495i 0.914870 + 0.403748i \(0.132293\pi\)
−0.914870 + 0.403748i \(0.867707\pi\)
\(410\) −1.37764e12 + 2.62592e13i −0.00587253 + 0.111936i
\(411\) −1.26918e14 1.26918e14i −0.533816 0.533816i
\(412\) −1.86587e14 1.96320e13i −0.774368 0.0814759i
\(413\) 9.08247e13 9.08247e13i 0.371945 0.371945i
\(414\) 9.07283e13 8.16830e13i 0.366641 0.330088i
\(415\) 4.36964e14 1.74253
\(416\) 9.74174e13 3.63165e14i 0.383374 1.42919i
\(417\) 1.61995e14 0.629148
\(418\) 3.60228e14 3.24315e14i 1.38073 1.24308i
\(419\) 4.88266e13 4.88266e13i 0.184705 0.184705i −0.608697 0.793403i \(-0.708308\pi\)
0.793403 + 0.608697i \(0.208308\pi\)
\(420\) 1.18928e14 + 1.25131e13i 0.444030 + 0.0467190i
\(421\) −1.10431e12 1.10431e12i −0.00406947 0.00406947i 0.705069 0.709139i \(-0.250916\pi\)
−0.709139 + 0.705069i \(0.750916\pi\)
\(422\) −1.75572e13 + 3.34657e14i −0.0638610 + 1.21725i
\(423\) 2.60264e14i 0.934420i
\(424\) 2.86238e13 1.80530e14i 0.101442 0.639790i
\(425\) 2.12709e13i 0.0744128i
\(426\) 2.13385e13 + 1.11948e12i 0.0736903 + 0.00386603i
\(427\) 5.34947e13 + 5.34947e13i 0.182372 + 0.182372i
\(428\) −9.58701e13 + 7.76165e13i −0.322658 + 0.261224i
\(429\) −2.78438e14 + 2.78438e14i −0.925151 + 0.925151i
\(430\) −5.12214e13 5.68935e13i −0.168026 0.186632i
\(431\) −1.91371e14 −0.619800 −0.309900 0.950769i \(-0.600296\pi\)
−0.309900 + 0.950769i \(0.600296\pi\)
\(432\) 1.46270e14 + 2.25345e14i 0.467728 + 0.720587i
\(433\) −4.41594e14 −1.39425 −0.697124 0.716951i \(-0.745537\pi\)
−0.697124 + 0.716951i \(0.745537\pi\)
\(434\) 6.96988e13 + 7.74169e13i 0.217286 + 0.241347i
\(435\) 1.60193e14 1.60193e14i 0.493119 0.493119i
\(436\) −3.49208e14 4.31333e14i −1.06147 1.31110i
\(437\) 1.56133e14 + 1.56133e14i 0.468649 + 0.468649i
\(438\) −2.02706e14 1.06346e13i −0.600841 0.0315220i
\(439\) 5.26739e14i 1.54184i −0.636930 0.770922i \(-0.719796\pi\)
0.636930 0.770922i \(-0.280204\pi\)
\(440\) 4.78094e14 3.47234e14i 1.38205 1.00377i
\(441\) 1.43837e13i 0.0410638i
\(442\) −1.80630e13 + 3.44298e14i −0.0509292 + 0.970761i
\(443\) 2.17125e14 + 2.17125e14i 0.604629 + 0.604629i 0.941537 0.336909i \(-0.109381\pi\)
−0.336909 + 0.941537i \(0.609381\pi\)
\(444\) 2.30251e13 2.18837e14i 0.0633279 0.601885i
\(445\) −3.11019e14 + 3.11019e14i −0.844902 + 0.844902i
\(446\) −2.08638e14 + 1.87837e14i −0.559823 + 0.504011i
\(447\) −3.47782e13 −0.0921755
\(448\) −3.53318e14 1.14930e14i −0.924989 0.300886i
\(449\) −2.53750e14 −0.656223 −0.328112 0.944639i \(-0.606412\pi\)
−0.328112 + 0.944639i \(0.606412\pi\)
\(450\) 2.51223e13 2.26178e13i 0.0641788 0.0577804i
\(451\) −6.04987e13 + 6.04987e13i −0.152677 + 0.152677i
\(452\) −5.57518e13 + 5.29879e14i −0.138994 + 1.32104i
\(453\) 1.10571e14 + 1.10571e14i 0.272334 + 0.272334i
\(454\) 3.08916e13 5.88825e14i 0.0751681 1.43278i
\(455\) 5.63787e14i 1.35535i
\(456\) −1.70076e14 + 1.23524e14i −0.403957 + 0.293390i
\(457\) 1.31008e14i 0.307439i −0.988115 0.153719i \(-0.950875\pi\)
0.988115 0.153719i \(-0.0491252\pi\)
\(458\) 1.41964e14 + 7.44786e12i 0.329167 + 0.0172692i
\(459\) −1.74188e14 1.74188e14i −0.399069 0.399069i
\(460\) 1.69373e14 + 2.09205e14i 0.383420 + 0.473592i
\(461\) 4.84798e14 4.84798e14i 1.08444 1.08444i 0.0883504 0.996089i \(-0.471840\pi\)
0.996089 0.0883504i \(-0.0281595\pi\)
\(462\) 2.60340e14 + 2.89169e14i 0.575453 + 0.639176i
\(463\) −4.46724e13 −0.0975761 −0.0487881 0.998809i \(-0.515536\pi\)
−0.0487881 + 0.998809i \(0.515536\pi\)
\(464\) −5.90396e14 + 3.83222e14i −1.27437 + 0.827184i
\(465\) 7.18434e13 0.153248
\(466\) −9.35762e13 1.03938e14i −0.197262 0.219106i
\(467\) 4.14973e14 4.14973e14i 0.864523 0.864523i −0.127336 0.991860i \(-0.540643\pi\)
0.991860 + 0.127336i \(0.0406427\pi\)
\(468\) −4.25845e14 + 3.44765e14i −0.876798 + 0.709856i
\(469\) −4.20944e14 4.20944e14i −0.856591 0.856591i
\(470\) 5.73060e14 + 3.00646e13i 1.15256 + 0.0604668i
\(471\) 2.68585e14i 0.533908i
\(472\) −4.31007e13 + 2.71835e14i −0.0846843 + 0.534103i
\(473\) 2.49086e14i 0.483742i
\(474\) 5.89373e10 1.12340e12i 0.000113138 0.00215653i
\(475\) 4.32328e13 + 4.32328e13i 0.0820348 + 0.0820348i
\(476\) 3.38809e14 + 3.56481e13i 0.635501 + 0.0668649i
\(477\) −1.88340e14 + 1.88340e14i −0.349215 + 0.349215i
\(478\) −7.07281e14 + 6.36768e14i −1.29640 + 1.16715i
\(479\) −2.13619e14 −0.387074 −0.193537 0.981093i \(-0.561996\pi\)
−0.193537 + 0.981093i \(0.561996\pi\)
\(480\) −2.21949e14 + 1.28060e14i −0.397581 + 0.229397i
\(481\) 1.03741e15 1.83719
\(482\) −6.41602e14 + 5.77637e14i −1.12333 + 1.01134i
\(483\) −1.25334e14 + 1.25334e14i −0.216950 + 0.216950i
\(484\) 1.33092e15 + 1.40034e14i 2.27773 + 0.239654i
\(485\) −2.10591e14 2.10591e14i −0.356337 0.356337i
\(486\) 3.21478e13 6.12769e14i 0.0537839 1.02517i
\(487\) 6.10255e14i 1.00949i −0.863269 0.504745i \(-0.831587\pi\)
0.863269 0.504745i \(-0.168413\pi\)
\(488\) −1.60108e14 2.53858e13i −0.261881 0.0415223i
\(489\) 6.42967e13i 0.103990i
\(490\) −3.16707e13 1.66155e12i −0.0506500 0.00265726i
\(491\) 1.94984e14 + 1.94984e14i 0.308355 + 0.308355i 0.844271 0.535916i \(-0.180034\pi\)
−0.535916 + 0.844271i \(0.680034\pi\)
\(492\) 2.88371e13 2.33466e13i 0.0450966 0.0365102i
\(493\) 4.56367e14 4.56367e14i 0.705758 0.705758i
\(494\) −6.63066e14 7.36492e14i −1.01405 1.12634i
\(495\) −8.61035e14 −1.30224
\(496\) −2.18325e14 4.64568e13i −0.326553 0.0694865i
\(497\) 9.95438e13 0.147250
\(498\) −4.12535e14 4.58218e14i −0.603531 0.670364i
\(499\) −2.61674e14 + 2.61674e14i −0.378623 + 0.378623i −0.870605 0.491982i \(-0.836273\pi\)
0.491982 + 0.870605i \(0.336273\pi\)
\(500\) 4.60939e14 + 5.69341e14i 0.659643 + 0.814775i
\(501\) −1.21279e14 1.21279e14i −0.171664 0.171664i
\(502\) 4.89807e14 + 2.56968e13i 0.685732 + 0.0359757i
\(503\) 7.38472e14i 1.02261i −0.859399 0.511305i \(-0.829162\pi\)
0.859399 0.511305i \(-0.170838\pi\)
\(504\) 3.18158e14 + 4.38060e14i 0.435788 + 0.600020i
\(505\) 4.80042e14i 0.650394i
\(506\) −4.58850e13 + 8.74614e14i −0.0614955 + 1.17216i
\(507\) 3.09278e14 + 3.09278e14i 0.410020 + 0.410020i
\(508\) 5.34867e13 5.08352e14i 0.0701448 0.666675i
\(509\) −3.46018e14 + 3.46018e14i −0.448901 + 0.448901i −0.894989 0.446088i \(-0.852817\pi\)
0.446088 + 0.894989i \(0.352817\pi\)
\(510\) 1.74617e14 1.57208e14i 0.224105 0.201762i
\(511\) −9.45624e14 −1.20061
\(512\) 7.57288e14 2.45642e14i 0.951210 0.308544i
\(513\) 7.08066e14 0.879889
\(514\) 2.44961e14 2.20540e14i 0.301162 0.271138i
\(515\) −4.26244e14 + 4.26244e14i −0.518464 + 0.518464i
\(516\) −1.13029e13 + 1.07426e14i −0.0136024 + 0.129281i
\(517\) 1.32028e15 + 1.32028e15i 1.57205 + 1.57205i
\(518\) 5.37060e13 1.02369e15i 0.0632716 1.20602i
\(519\) 3.38938e14i 0.395094i
\(520\) −7.09926e14 9.77470e14i −0.818831 1.12742i
\(521\) 8.53908e14i 0.974549i −0.873249 0.487275i \(-0.837991\pi\)
0.873249 0.487275i \(-0.162009\pi\)
\(522\) 1.02426e15 + 5.37360e13i 1.15671 + 0.0606844i
\(523\) 3.68665e14 + 3.68665e14i 0.411976 + 0.411976i 0.882427 0.470450i \(-0.155908\pi\)
−0.470450 + 0.882427i \(0.655908\pi\)
\(524\) −4.63204e13 5.72138e13i −0.0512212 0.0632672i
\(525\) −3.47046e13 + 3.47046e13i −0.0379761 + 0.0379761i
\(526\) −6.83124e14 7.58771e14i −0.739738 0.821654i
\(527\) 2.04672e14 0.219331
\(528\) −8.15490e14 1.73526e14i −0.864833 0.184026i
\(529\) 5.53839e14 0.581270
\(530\) −3.92940e14 4.36452e14i −0.408140 0.453335i
\(531\) 2.83596e14 2.83596e14i 0.291528 0.291528i
\(532\) −7.61076e14 + 6.16168e14i −0.774308 + 0.626881i
\(533\) 1.23690e14 + 1.23690e14i 0.124548 + 0.124548i
\(534\) 6.19778e14 + 3.25155e13i 0.617674 + 0.0324051i
\(535\) 3.96317e14i 0.390928i
\(536\) 1.25987e15 + 1.99758e14i 1.23004 + 0.195028i
\(537\) 2.83155e14i 0.273631i
\(538\) −5.90168e13 + 1.12492e15i −0.0564512 + 1.07602i
\(539\) −7.29663e13 7.29663e13i −0.0690851 0.0690851i
\(540\) 8.58427e14 + 9.03202e13i 0.804522 + 0.0846485i
\(541\) −3.90393e14 + 3.90393e14i −0.362174 + 0.362174i −0.864613 0.502439i \(-0.832436\pi\)
0.502439 + 0.864613i \(0.332436\pi\)
\(542\) 7.39050e14 6.65370e14i 0.678700 0.611036i
\(543\) −6.56264e14 −0.596595
\(544\) −6.32301e14 + 3.64826e14i −0.569023 + 0.328316i
\(545\) −1.78309e15 −1.58852
\(546\) 5.91210e14 5.32268e14i 0.521413 0.469430i
\(547\) 7.12794e14 7.12794e14i 0.622348 0.622348i −0.323783 0.946131i \(-0.604955\pi\)
0.946131 + 0.323783i \(0.104955\pi\)
\(548\) 1.78188e15 + 1.87482e14i 1.54023 + 0.162057i
\(549\) 1.67034e14 + 1.67034e14i 0.142941 + 0.142941i
\(550\) −1.27054e13 + 2.42178e14i −0.0107645 + 0.205182i
\(551\) 1.85511e15i 1.55610i
\(552\) 5.94770e13 3.75121e14i 0.0493951 0.311534i
\(553\) 5.24067e12i 0.00430922i
\(554\) −1.88772e15 9.90356e13i −1.53685 0.0806283i
\(555\) −4.99915e14 4.99915e14i −0.402981 0.402981i
\(556\) −1.25683e15 + 1.01753e15i −1.00315 + 0.812148i
\(557\) −1.72156e15 + 1.72156e15i −1.36057 + 1.36057i −0.487370 + 0.873196i \(0.662044\pi\)
−0.873196 + 0.487370i \(0.837956\pi\)
\(558\) 2.17631e14 + 2.41731e14i 0.170307 + 0.189166i
\(559\) −5.09260e14 −0.394616
\(560\) −1.00129e15 + 6.49932e14i −0.768292 + 0.498694i
\(561\) 7.64494e14 0.580869
\(562\) −1.47570e15 1.63912e15i −1.11032 1.23328i
\(563\) −1.43337e15 + 1.43337e15i −1.06798 + 1.06798i −0.0704611 + 0.997515i \(0.522447\pi\)
−0.997515 + 0.0704611i \(0.977553\pi\)
\(564\) −5.09497e14 6.29318e14i −0.375929 0.464339i
\(565\) 1.21047e15 + 1.21047e15i 0.884478 + 0.884478i
\(566\) −6.54267e14 3.43249e13i −0.473440 0.0248382i
\(567\) 4.66424e14i 0.334252i
\(568\) −1.72585e14 + 1.25346e14i −0.122486 + 0.0889603i
\(569\) 2.36411e15i 1.66169i −0.556501 0.830847i \(-0.687856\pi\)
0.556501 0.830847i \(-0.312144\pi\)
\(570\) −3.53827e13 + 6.74428e14i −0.0246308 + 0.469488i
\(571\) 1.65021e15 + 1.65021e15i 1.13773 + 1.13773i 0.988856 + 0.148877i \(0.0475659\pi\)
0.148877 + 0.988856i \(0.452434\pi\)
\(572\) 4.11307e14 3.90917e15i 0.280859 2.66936i
\(573\) 2.26172e14 2.26172e14i 0.152963 0.152963i
\(574\) 1.28458e14 1.15651e14i 0.0860487 0.0774700i
\(575\) −1.10474e14 −0.0732968
\(576\) −1.10322e15 3.58862e14i −0.725000 0.235833i
\(577\) 2.92060e13 0.0190110 0.00950552 0.999955i \(-0.496974\pi\)
0.00950552 + 0.999955i \(0.496974\pi\)
\(578\) −6.55192e14 + 5.89872e14i −0.422441 + 0.380325i
\(579\) 4.38316e14 4.38316e14i 0.279934 0.279934i
\(580\) −2.36636e14 + 2.24905e15i −0.149702 + 1.42281i
\(581\) −2.03103e15 2.03103e15i −1.27276 1.27276i
\(582\) −2.20163e13 + 4.19653e14i −0.0136669 + 0.260504i
\(583\) 1.91084e15i 1.17503i
\(584\) 1.63948e15 1.19074e15i 0.998702 0.725347i
\(585\) 1.76040e15i 1.06232i
\(586\) 1.92414e15 + 1.00946e14i 1.15027 + 0.0603467i
\(587\) 8.11373e14 + 8.11373e14i 0.480519 + 0.480519i 0.905297 0.424778i \(-0.139648\pi\)
−0.424778 + 0.905297i \(0.639648\pi\)
\(588\) 2.81578e13 + 3.47799e13i 0.0165205 + 0.0204058i
\(589\) −4.15991e14 + 4.15991e14i −0.241797 + 0.241797i
\(590\) 5.91674e14 + 6.57193e14i 0.340719 + 0.378449i
\(591\) 6.19701e14 0.353550
\(592\) 1.19593e15 + 1.84246e15i 0.675982 + 1.04142i
\(593\) −9.56120e14 −0.535441 −0.267720 0.963497i \(-0.586270\pi\)
−0.267720 + 0.963497i \(0.586270\pi\)
\(594\) 1.87915e15 + 2.08724e15i 1.04264 + 1.15810i
\(595\) 7.73982e14 7.73982e14i 0.425488 0.425488i
\(596\) 2.69824e14 2.18450e14i 0.146969 0.118987i
\(597\) −3.50097e14 3.50097e14i −0.188943 0.188943i
\(598\) 1.78816e15 + 9.38125e13i 0.956202 + 0.0501654i
\(599\) 2.61157e15i 1.38374i −0.722024 0.691868i \(-0.756788\pi\)
0.722024 0.691868i \(-0.243212\pi\)
\(600\) 1.64690e13 1.03870e14i 0.00864639 0.0545327i
\(601\) 3.71453e15i 1.93239i 0.257815 + 0.966194i \(0.416998\pi\)
−0.257815 + 0.966194i \(0.583002\pi\)
\(602\) −2.63640e13 + 5.02524e14i −0.0135903 + 0.259045i
\(603\) −1.31438e15 1.31438e15i −0.671390 0.671390i
\(604\) −1.55238e15 1.63336e14i −0.785771 0.0826756i
\(605\) 3.04038e15 3.04038e15i 1.52501 1.52501i
\(606\) −5.03391e14 + 4.53205e14i −0.250211 + 0.225266i
\(607\) 2.62166e15 1.29133 0.645666 0.763620i \(-0.276580\pi\)
0.645666 + 0.763620i \(0.276580\pi\)
\(608\) 5.43637e14 2.02664e15i 0.265362 0.989252i
\(609\) −1.48917e15 −0.720358
\(610\) −3.87079e14 + 3.48489e14i −0.185560 + 0.167061i
\(611\) 2.69932e15 2.69932e15i 1.28241 1.28241i
\(612\) 1.05791e15 + 1.11309e14i 0.498101 + 0.0524082i
\(613\) 1.37113e14 + 1.37113e14i 0.0639803 + 0.0639803i 0.738373 0.674393i \(-0.235594\pi\)
−0.674393 + 0.738373i \(0.735594\pi\)
\(614\) −5.67132e13 + 1.08101e15i −0.0262276 + 0.499924i
\(615\) 1.19209e14i 0.0546384i
\(616\) −3.83617e15 6.08241e14i −1.74262 0.276301i
\(617\) 1.11737e15i 0.503071i −0.967848 0.251535i \(-0.919065\pi\)
0.967848 0.251535i \(-0.0809355\pi\)
\(618\) 8.49392e14 + 4.45618e13i 0.379028 + 0.0198850i
\(619\) −1.57470e15 1.57470e15i −0.696466 0.696466i 0.267181 0.963646i \(-0.413908\pi\)
−0.963646 + 0.267181i \(0.913908\pi\)
\(620\) −5.57393e14 + 4.51266e14i −0.244347 + 0.197824i
\(621\) −9.04667e14 + 9.04667e14i −0.393084 + 0.393084i
\(622\) −8.53984e14 9.48550e14i −0.367792 0.408520i
\(623\) 2.89126e15 1.23425
\(624\) −3.54777e14 + 1.66728e15i −0.150120 + 0.705495i
\(625\) 2.08354e15 0.873899
\(626\) 1.23671e15 + 1.37366e15i 0.514172 + 0.571109i
\(627\) −1.55382e15 + 1.55382e15i −0.640366 + 0.640366i
\(628\) −1.68705e15 2.08380e15i −0.689206 0.851291i
\(629\) −1.42419e15 1.42419e15i −0.576751 0.576751i
\(630\) 1.73711e15 + 9.11343e13i 0.697356 + 0.0365855i
\(631\) 2.16645e15i 0.862159i 0.902314 + 0.431079i \(0.141867\pi\)
−0.902314 + 0.431079i \(0.858133\pi\)
\(632\) 6.59910e12 + 9.08605e12i 0.00260340 + 0.00358452i
\(633\) 1.51925e15i 0.594166i
\(634\) 4.19715e13 8.00018e14i 0.0162728 0.310176i
\(635\) −1.16129e15 1.16129e15i −0.446360 0.446360i
\(636\) −8.67091e13 + 8.24106e14i −0.0330408 + 0.314028i
\(637\) −1.49181e14 + 1.49181e14i −0.0563567 + 0.0563567i
\(638\) −5.46850e15 + 4.92331e15i −2.04811 + 1.84393i
\(639\) 3.10821e14 0.115413
\(640\) 9.17597e14 2.38766e15i 0.337802 0.878988i
\(641\) −8.53695e14 −0.311590 −0.155795 0.987789i \(-0.549794\pi\)
−0.155795 + 0.987789i \(0.549794\pi\)
\(642\) 4.15594e14 3.74161e14i 0.150393 0.135399i
\(643\) 9.15616e14 9.15616e14i 0.328513 0.328513i −0.523508 0.852021i \(-0.675377\pi\)
0.852021 + 0.523508i \(0.175377\pi\)
\(644\) 1.85143e14 1.75965e15i 0.0658621 0.625970i
\(645\) 2.45406e14 + 2.45406e14i 0.0865578 + 0.0865578i
\(646\) −1.00800e14 + 1.92135e15i −0.0352519 + 0.671936i
\(647\) 2.43835e15i 0.845518i 0.906242 + 0.422759i \(0.138938\pi\)
−0.906242 + 0.422759i \(0.861062\pi\)
\(648\) 5.87325e14 + 8.08665e14i 0.201937 + 0.278039i
\(649\) 2.87727e15i 0.980922i
\(650\) 4.95135e14 + 2.59764e13i 0.167379 + 0.00878122i
\(651\) −3.33932e14 3.33932e14i −0.111934 0.111934i
\(652\) 4.03863e14 + 4.98842e14i 0.134237 + 0.165806i
\(653\) −1.10464e15 + 1.10464e15i −0.364080 + 0.364080i −0.865313 0.501233i \(-0.832880\pi\)
0.501233 + 0.865313i \(0.332880\pi\)
\(654\) 1.68340e15 + 1.86982e15i 0.550187 + 0.611113i
\(655\) −2.36516e14 −0.0766537
\(656\) −7.70856e13 + 3.62265e14i −0.0247743 + 0.116428i
\(657\) −2.95266e15 −0.941032
\(658\) −2.52387e15 2.80336e15i −0.797673 0.886004i
\(659\) −2.32279e15 + 2.32279e15i −0.728014 + 0.728014i −0.970224 0.242210i \(-0.922128\pi\)
0.242210 + 0.970224i \(0.422128\pi\)
\(660\) −2.08198e15 + 1.68557e15i −0.647121 + 0.523910i
\(661\) −6.73212e14 6.73212e14i −0.207512 0.207512i 0.595697 0.803209i \(-0.296876\pi\)
−0.803209 + 0.595697i \(0.796876\pi\)
\(662\) −5.56923e15 2.92179e14i −1.70246 0.0893163i
\(663\) 1.56302e15i 0.473848i
\(664\) 6.07881e15 + 9.63821e14i 1.82765 + 0.289782i
\(665\) 3.14621e15i 0.938141i
\(666\) 1.67694e14 3.19642e15i 0.0495918 0.945269i
\(667\) −2.37020e15 2.37020e15i −0.695174 0.695174i
\(668\) 1.70272e15 + 1.79153e14i 0.495305 + 0.0521140i
\(669\) 8.99942e14 8.99942e14i 0.259640 0.259640i
\(670\) 3.04588e15 2.74222e15i 0.871569 0.784677i
\(671\) −1.69468e15 −0.480964
\(672\) 1.62686e15 + 4.36398e14i 0.457951 + 0.122843i
\(673\) 2.99678e15 0.836704 0.418352 0.908285i \(-0.362608\pi\)
0.418352 + 0.908285i \(0.362608\pi\)
\(674\) 4.41147e15 3.97167e15i 1.22167 1.09987i
\(675\) −2.50499e14 + 2.50499e14i −0.0688075 + 0.0688075i
\(676\) −4.34216e15 4.56865e14i −1.18304 0.124475i
\(677\) −1.70658e15 1.70658e15i −0.461199 0.461199i 0.437849 0.899048i \(-0.355740\pi\)
−0.899048 + 0.437849i \(0.855740\pi\)
\(678\) 1.26549e14 2.41214e15i 0.0339230 0.646606i
\(679\) 1.95768e15i 0.520545i
\(680\) −3.67292e14 + 2.31650e15i −0.0968751 + 0.610990i
\(681\) 2.67310e15i 0.699368i
\(682\) −2.33027e15 1.22253e14i −0.604771 0.0317282i
\(683\) 5.32703e15 + 5.32703e15i 1.37142 + 1.37142i 0.858339 + 0.513084i \(0.171497\pi\)
0.513084 + 0.858339i \(0.328503\pi\)
\(684\) −2.37642e15 + 1.92395e15i −0.606897 + 0.491345i
\(685\) 4.07057e15 4.07057e15i 1.03123 1.03123i
\(686\) 2.72915e15 + 3.03137e15i 0.685875 + 0.761826i
\(687\) −6.44475e14 −0.160673
\(688\) −5.87074e14 9.04452e14i −0.145197 0.223691i
\(689\) −3.90674e15 −0.958536
\(690\) −8.16483e14 9.06897e14i −0.198736 0.220744i
\(691\) −2.15825e15 + 2.15825e15i −0.521161 + 0.521161i −0.917922 0.396761i \(-0.870134\pi\)
0.396761 + 0.917922i \(0.370134\pi\)
\(692\) −2.12895e15 2.62963e15i −0.510014 0.629958i
\(693\) 4.00213e15 + 4.00213e15i 0.951171 + 0.951171i
\(694\) 1.13181e15 + 5.93784e13i 0.266868 + 0.0140008i
\(695\) 5.19558e15i 1.21540i
\(696\) 2.58186e15 1.87517e15i 0.599213 0.435202i
\(697\) 3.39611e14i 0.0781991i
\(698\) 2.15480e14 4.10726e15i 0.0492268 0.938311i
\(699\) 4.48331e14 + 4.48331e14i 0.101619 + 0.101619i
\(700\) 5.12655e13 4.87241e14i 0.0115289 0.109573i
\(701\) 1.52455e15 1.52455e15i 0.340167 0.340167i −0.516263 0.856430i \(-0.672677\pi\)
0.856430 + 0.516263i \(0.172677\pi\)
\(702\) 4.26738e15 3.84194e15i 0.944729 0.850543i
\(703\) 5.78926e15 1.27165
\(704\) 7.41689e15 3.77600e15i 1.61649 0.822966i
\(705\) −2.60153e15 −0.562587
\(706\) −1.75046e15 + 1.57594e15i −0.375600 + 0.338154i
\(707\) −2.23126e15 + 2.23126e15i −0.475054 + 0.475054i
\(708\) 1.30563e14 1.24091e15i 0.0275828 0.262154i
\(709\) −5.50134e14 5.50134e14i −0.115323 0.115323i 0.647091 0.762413i \(-0.275986\pi\)
−0.762413 + 0.647091i \(0.775986\pi\)
\(710\) −3.59047e13 + 6.84378e14i −0.00746844 + 0.142356i
\(711\) 1.63637e13i 0.00337754i
\(712\) −5.01275e15 + 3.64070e15i −1.02668 + 0.745668i
\(713\) 1.06299e15i 0.216042i
\(714\) −1.54234e15 8.09162e13i −0.311057 0.0163191i
\(715\) −8.93020e15 8.93020e15i −1.78722 1.78722i
\(716\) 1.77856e15 + 2.19684e15i 0.353222 + 0.436292i
\(717\) 3.05080e15 3.05080e15i 0.601255 0.601255i
\(718\) −2.04788e15 2.27466e15i −0.400517 0.444868i
\(719\) −2.96713e15 −0.575875 −0.287937 0.957649i \(-0.592969\pi\)
−0.287937 + 0.957649i \(0.592969\pi\)
\(720\) −3.12649e15 + 2.02938e15i −0.602182 + 0.390872i
\(721\) 3.96241e15 0.757383
\(722\) −1.72964e14 1.92117e14i −0.0328096 0.0364428i
\(723\) 2.76750e15 2.76750e15i 0.520988 0.520988i
\(724\) 5.09158e15 4.12215e15i 0.951241 0.770126i
\(725\) −6.56301e14 6.56301e14i −0.121687 0.121687i
\(726\) −6.05868e15 3.17858e14i −1.11488 0.0584899i
\(727\) 8.35407e15i 1.52566i −0.646597 0.762832i \(-0.723808\pi\)
0.646597 0.762832i \(-0.276192\pi\)
\(728\) −1.24356e15 + 7.84310e15i −0.225395 + 1.42156i
\(729\) 8.71516e14i 0.156774i
\(730\) 3.41079e14 6.50130e15i 0.0608947 1.16071i
\(731\) 6.99127e14 + 6.99127e14i 0.123883 + 0.123883i
\(732\) 7.30879e14 + 7.69001e13i 0.128539 + 0.0135243i
\(733\) −2.90697e15 + 2.90697e15i −0.507421 + 0.507421i −0.913734 0.406313i \(-0.866814\pi\)
0.406313 + 0.913734i \(0.366814\pi\)
\(734\) −3.28932e15 + 2.96139e15i −0.569872 + 0.513058i
\(735\) 1.43776e14 0.0247233
\(736\) 1.89477e15 + 3.28394e15i 0.323392 + 0.560489i
\(737\) 1.33352e16 2.25907
\(738\) 4.01103e14 3.61114e14i 0.0674443 0.0607204i
\(739\) −5.27620e15 + 5.27620e15i −0.880596 + 0.880596i −0.993595 0.113000i \(-0.963954\pi\)
0.113000 + 0.993595i \(0.463954\pi\)
\(740\) 7.01864e15 + 7.38473e14i 1.16273 + 0.122338i
\(741\) 3.17680e15 + 3.17680e15i 0.522384 + 0.522384i
\(742\) −2.02249e14 + 3.85506e15i −0.0330114 + 0.629230i
\(743\) 9.75338e15i 1.58022i 0.612967 + 0.790109i \(0.289976\pi\)
−0.612967 + 0.790109i \(0.710024\pi\)
\(744\) 9.99448e14 + 1.58467e14i 0.160734 + 0.0254851i
\(745\) 1.11543e15i 0.178066i
\(746\) −1.54232e15 8.09148e13i −0.244405 0.0128223i
\(747\) −6.34179e15 6.34179e15i −0.997582 0.997582i
\(748\) −5.93127e15 + 4.80197e15i −0.926167 + 0.749826i
\(749\) 1.84210e15 1.84210e15i 0.285538 0.285538i
\(750\) −2.22202e15 2.46808e15i −0.341909 0.379771i
\(751\) 2.77812e14 0.0424357 0.0212179 0.999775i \(-0.493246\pi\)
0.0212179 + 0.999775i \(0.493246\pi\)
\(752\) 7.90580e15 + 1.68226e15i 1.19880 + 0.255090i
\(753\) −2.22359e15 −0.334720
\(754\) 1.00658e16 + 1.11804e16i 1.50420 + 1.67077i
\(755\) −3.54630e15 + 3.54630e15i −0.526099 + 0.526099i
\(756\) −3.57020e15 4.40983e15i −0.525803 0.649459i
\(757\) −4.77158e15 4.77158e15i −0.697646 0.697646i 0.266256 0.963902i \(-0.414213\pi\)
−0.963902 + 0.266256i \(0.914213\pi\)
\(758\) −2.65251e15 1.39159e14i −0.385014 0.0201991i
\(759\) 3.97050e15i 0.572157i
\(760\) −3.96173e15 5.45476e15i −0.566775 0.780370i
\(761\) 1.30767e16i