Properties

Label 16.12.e.a.5.19
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 5.19
Character \(\chi\) = 16.5
Dual form 16.12.e.a.13.19

$q$-expansion

\(f(q)\) \(=\) \(q+(43.9461 + 10.8046i) q^{2} +(221.481 - 221.481i) q^{3} +(1814.52 + 949.643i) q^{4} +(-7918.20 - 7918.20i) q^{5} +(12126.3 - 7340.22i) q^{6} -76836.1i q^{7} +(69480.6 + 61338.3i) q^{8} +79039.1i q^{9} +O(q^{10})\) \(q+(43.9461 + 10.8046i) q^{2} +(221.481 - 221.481i) q^{3} +(1814.52 + 949.643i) q^{4} +(-7918.20 - 7918.20i) q^{5} +(12126.3 - 7340.22i) q^{6} -76836.1i q^{7} +(69480.6 + 61338.3i) q^{8} +79039.1i q^{9} +(-262421. - 433527. i) q^{10} +(-197951. - 197951. i) q^{11} +(612210. - 191554. i) q^{12} +(-46856.2 + 46856.2i) q^{13} +(830185. - 3.37665e6i) q^{14} -3.50747e6 q^{15} +(2.39066e6 + 3.44629e6i) q^{16} +9.74414e6 q^{17} +(-853988. + 3.47346e6i) q^{18} +(2.85298e6 - 2.85298e6i) q^{19} +(-6.84827e6 - 2.18872e7i) q^{20} +(-1.70178e7 - 1.70178e7i) q^{21} +(-6.56038e6 - 1.08379e7i) q^{22} -3.12758e7i q^{23} +(2.89739e7 - 1.80336e6i) q^{24} +7.65676e7i q^{25} +(-2.56541e6 + 1.55288e6i) q^{26} +(5.67404e7 + 5.67404e7i) q^{27} +(7.29668e7 - 1.39421e8i) q^{28} +(-1.26920e8 + 1.26920e8i) q^{29} +(-1.54139e8 - 3.78969e7i) q^{30} +3.46657e7 q^{31} +(6.78244e7 + 1.77281e8i) q^{32} -8.76847e7 q^{33} +(4.28217e8 + 1.05282e8i) q^{34} +(-6.08404e8 + 6.08404e8i) q^{35} +(-7.50589e7 + 1.43418e8i) q^{36} +(2.25685e8 + 2.25685e8i) q^{37} +(1.56203e8 - 9.45519e7i) q^{38} +2.07555e7i q^{39} +(-6.44720e7 - 1.03585e9i) q^{40} -4.55938e8i q^{41} +(-5.63994e8 - 9.31735e8i) q^{42} +(7.03132e8 + 7.03132e8i) q^{43} +(-1.71203e8 - 5.47168e8i) q^{44} +(6.25847e8 - 6.25847e8i) q^{45} +(3.37923e8 - 1.37445e9i) q^{46} +6.32523e8 q^{47} +(1.29278e9 + 2.33802e8i) q^{48} -3.92646e9 q^{49} +(-8.27285e8 + 3.36485e9i) q^{50} +(2.15814e9 - 2.15814e9i) q^{51} +(-1.29518e8 + 4.05248e7i) q^{52} +(-1.37083e9 - 1.37083e9i) q^{53} +(1.88046e9 + 3.10658e9i) q^{54} +3.13483e9i q^{55} +(4.71300e9 - 5.33862e9i) q^{56} -1.26376e9i q^{57} +(-6.94895e9 + 4.20631e9i) q^{58} +(1.10533e9 + 1.10533e9i) q^{59} +(-6.36437e9 - 3.33084e9i) q^{60} +(3.14198e9 - 3.14198e9i) q^{61} +(1.52342e9 + 3.74550e8i) q^{62} +6.07306e9 q^{63} +(1.06516e9 + 8.52364e9i) q^{64} +7.42033e8 q^{65} +(-3.85340e9 - 9.47401e8i) q^{66} +(-3.21875e9 + 3.21875e9i) q^{67} +(1.76809e10 + 9.25345e9i) q^{68} +(-6.92700e9 - 6.92700e9i) q^{69} +(-3.33105e10 + 2.01634e10i) q^{70} -1.72208e10i q^{71} +(-4.84813e9 + 5.49168e9i) q^{72} -1.53135e10i q^{73} +(7.47953e9 + 1.23564e10i) q^{74} +(1.69583e10 + 1.69583e10i) q^{75} +(7.88609e9 - 2.46748e9i) q^{76} +(-1.52098e10 + 1.52098e10i) q^{77} +(-2.24256e8 + 9.12124e8i) q^{78} +4.44888e10 q^{79} +(8.35868e9 - 4.62182e10i) q^{80} +1.11323e10 q^{81} +(4.92624e9 - 2.00367e10i) q^{82} +(-1.61561e10 + 1.61561e10i) q^{83} +(-1.47183e10 - 4.70398e10i) q^{84} +(-7.71560e10 - 7.71560e10i) q^{85} +(2.33028e10 + 3.84970e10i) q^{86} +5.62207e10i q^{87} +(-1.61176e9 - 2.58957e10i) q^{88} +1.60769e10i q^{89} +(3.42656e10 - 2.07415e10i) q^{90} +(3.60024e9 + 3.60024e9i) q^{91} +(2.97008e10 - 5.67505e10i) q^{92} +(7.67780e9 - 7.67780e9i) q^{93} +(2.77969e10 + 6.83417e9i) q^{94} -4.51809e10 q^{95} +(5.42863e10 + 2.42426e10i) q^{96} +7.16237e9 q^{97} +(-1.72553e11 - 4.24239e10i) q^{98} +(1.56458e10 - 1.56458e10i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 43.9461 + 10.8046i 0.971081 + 0.238751i
\(3\) 221.481 221.481i 0.526223 0.526223i −0.393221 0.919444i \(-0.628639\pi\)
0.919444 + 0.393221i \(0.128639\pi\)
\(4\) 1814.52 + 949.643i 0.885996 + 0.463693i
\(5\) −7918.20 7918.20i −1.13316 1.13316i −0.989649 0.143512i \(-0.954161\pi\)
−0.143512 0.989649i \(-0.545839\pi\)
\(6\) 12126.3 7340.22i 0.636642 0.385369i
\(7\) 76836.1i 1.72793i −0.503552 0.863965i \(-0.667974\pi\)
0.503552 0.863965i \(-0.332026\pi\)
\(8\) 69480.6 + 61338.3i 0.749667 + 0.661815i
\(9\) 79039.1i 0.446178i
\(10\) −262421. 433527.i −0.829847 1.37093i
\(11\) −197951. 197951.i −0.370593 0.370593i 0.497100 0.867693i \(-0.334398\pi\)
−0.867693 + 0.497100i \(0.834398\pi\)
\(12\) 612210. 191554.i 0.710238 0.222226i
\(13\) −46856.2 + 46856.2i −0.0350008 + 0.0350008i −0.724391 0.689390i \(-0.757879\pi\)
0.689390 + 0.724391i \(0.257879\pi\)
\(14\) 830185. 3.37665e6i 0.412545 1.67796i
\(15\) −3.50747e6 −1.19259
\(16\) 2.39066e6 + 3.44629e6i 0.569978 + 0.821660i
\(17\) 9.74414e6 1.66446 0.832232 0.554428i \(-0.187063\pi\)
0.832232 + 0.554428i \(0.187063\pi\)
\(18\) −853988. + 3.47346e6i −0.106525 + 0.433275i
\(19\) 2.85298e6 2.85298e6i 0.264334 0.264334i −0.562478 0.826812i \(-0.690152\pi\)
0.826812 + 0.562478i \(0.190152\pi\)
\(20\) −6.84827e6 2.18872e7i −0.478538 1.52941i
\(21\) −1.70178e7 1.70178e7i −0.909277 0.909277i
\(22\) −6.56038e6 1.08379e7i −0.271396 0.448355i
\(23\) 3.12758e7i 1.01322i −0.862174 0.506611i \(-0.830898\pi\)
0.862174 0.506611i \(-0.169102\pi\)
\(24\) 2.89739e7 1.80336e6i 0.742755 0.0462295i
\(25\) 7.65676e7i 1.56810i
\(26\) −2.56541e6 + 1.55288e6i −0.0423451 + 0.0256322i
\(27\) 5.67404e7 + 5.67404e7i 0.761013 + 0.761013i
\(28\) 7.29668e7 1.39421e8i 0.801228 1.53094i
\(29\) −1.26920e8 + 1.26920e8i −1.14905 + 1.14905i −0.162315 + 0.986739i \(0.551896\pi\)
−0.986739 + 0.162315i \(0.948104\pi\)
\(30\) −1.54139e8 3.78969e7i −1.15810 0.284732i
\(31\) 3.46657e7 0.217475 0.108738 0.994070i \(-0.465319\pi\)
0.108738 + 0.994070i \(0.465319\pi\)
\(32\) 6.78244e7 + 1.77281e8i 0.357323 + 0.933981i
\(33\) −8.76847e7 −0.390029
\(34\) 4.28217e8 + 1.05282e8i 1.61633 + 0.397392i
\(35\) −6.08404e8 + 6.08404e8i −1.95802 + 1.95802i
\(36\) −7.50589e7 + 1.43418e8i −0.206890 + 0.395312i
\(37\) 2.25685e8 + 2.25685e8i 0.535048 + 0.535048i 0.922070 0.387022i \(-0.126496\pi\)
−0.387022 + 0.922070i \(0.626496\pi\)
\(38\) 1.56203e8 9.45519e7i 0.319800 0.193580i
\(39\) 2.07555e7i 0.0368365i
\(40\) −6.44720e7 1.03585e9i −0.0995499 1.59944i
\(41\) 4.55938e8i 0.614603i −0.951612 0.307302i \(-0.900574\pi\)
0.951612 0.307302i \(-0.0994260\pi\)
\(42\) −5.63994e8 9.31735e8i −0.665891 1.10007i
\(43\) 7.03132e8 + 7.03132e8i 0.729390 + 0.729390i 0.970498 0.241108i \(-0.0775108\pi\)
−0.241108 + 0.970498i \(0.577511\pi\)
\(44\) −1.71203e8 5.47168e8i −0.156503 0.500185i
\(45\) 6.25847e8 6.25847e8i 0.505591 0.505591i
\(46\) 3.37923e8 1.37445e9i 0.241908 0.983921i
\(47\) 6.32523e8 0.402289 0.201144 0.979562i \(-0.435534\pi\)
0.201144 + 0.979562i \(0.435534\pi\)
\(48\) 1.29278e9 + 2.33802e8i 0.732312 + 0.132441i
\(49\) −3.92646e9 −1.98574
\(50\) −8.27285e8 + 3.36485e9i −0.374386 + 1.52276i
\(51\) 2.15814e9 2.15814e9i 0.875880 0.875880i
\(52\) −1.29518e8 + 4.05248e7i −0.0472402 + 0.0147810i
\(53\) −1.37083e9 1.37083e9i −0.450263 0.450263i 0.445179 0.895442i \(-0.353140\pi\)
−0.895442 + 0.445179i \(0.853140\pi\)
\(54\) 1.88046e9 + 3.10658e9i 0.557312 + 0.920697i
\(55\) 3.13483e9i 0.839883i
\(56\) 4.71300e9 5.33862e9i 1.14357 1.29537i
\(57\) 1.26376e9i 0.278198i
\(58\) −6.94895e9 + 4.20631e9i −1.39016 + 0.841487i
\(59\) 1.10533e9 + 1.10533e9i 0.201282 + 0.201282i 0.800549 0.599267i \(-0.204541\pi\)
−0.599267 + 0.800549i \(0.704541\pi\)
\(60\) −6.36437e9 3.33084e9i −1.05663 0.552996i
\(61\) 3.14198e9 3.14198e9i 0.476310 0.476310i −0.427639 0.903949i \(-0.640655\pi\)
0.903949 + 0.427639i \(0.140655\pi\)
\(62\) 1.52342e9 + 3.74550e8i 0.211186 + 0.0519224i
\(63\) 6.07306e9 0.770965
\(64\) 1.06516e9 + 8.52364e9i 0.124001 + 0.992282i
\(65\) 7.42033e8 0.0793231
\(66\) −3.85340e9 9.47401e8i −0.378750 0.0931198i
\(67\) −3.21875e9 + 3.21875e9i −0.291256 + 0.291256i −0.837576 0.546320i \(-0.816028\pi\)
0.546320 + 0.837576i \(0.316028\pi\)
\(68\) 1.76809e10 + 9.25345e9i 1.47471 + 0.771800i
\(69\) −6.92700e9 6.92700e9i −0.533181 0.533181i
\(70\) −3.33105e10 + 2.01634e10i −2.36888 + 1.43392i
\(71\) 1.72208e10i 1.13275i −0.824148 0.566374i \(-0.808346\pi\)
0.824148 0.566374i \(-0.191654\pi\)
\(72\) −4.84813e9 + 5.49168e9i −0.295288 + 0.334485i
\(73\) 1.53135e10i 0.864566i −0.901738 0.432283i \(-0.857708\pi\)
0.901738 0.432283i \(-0.142292\pi\)
\(74\) 7.47953e9 + 1.23564e10i 0.391832 + 0.647318i
\(75\) 1.69583e10 + 1.69583e10i 0.825173 + 0.825173i
\(76\) 7.88609e9 2.46748e9i 0.356769 0.111629i
\(77\) −1.52098e10 + 1.52098e10i −0.640359 + 0.640359i
\(78\) −2.24256e8 + 9.12124e8i −0.00879474 + 0.0357712i
\(79\) 4.44888e10 1.62668 0.813340 0.581789i \(-0.197647\pi\)
0.813340 + 0.581789i \(0.197647\pi\)
\(80\) 8.35868e9 4.62182e10i 0.285196 1.57695i
\(81\) 1.11323e10 0.354747
\(82\) 4.92624e9 2.00367e10i 0.146737 0.596829i
\(83\) −1.61561e10 + 1.61561e10i −0.450201 + 0.450201i −0.895421 0.445220i \(-0.853126\pi\)
0.445220 + 0.895421i \(0.353126\pi\)
\(84\) −1.47183e10 4.70398e10i −0.383991 1.22724i
\(85\) −7.71560e10 7.71560e10i −1.88610 1.88610i
\(86\) 2.33028e10 + 3.84970e10i 0.534155 + 0.882440i
\(87\) 5.62207e10i 1.20932i
\(88\) −1.61176e9 2.58957e10i −0.0325572 0.523085i
\(89\) 1.60769e10i 0.305181i 0.988290 + 0.152590i \(0.0487615\pi\)
−0.988290 + 0.152590i \(0.951238\pi\)
\(90\) 3.42656e10 2.07415e10i 0.611680 0.370260i
\(91\) 3.60024e9 + 3.60024e9i 0.0604790 + 0.0604790i
\(92\) 2.97008e10 5.67505e10i 0.469824 0.897712i
\(93\) 7.67780e9 7.67780e9i 0.114441 0.114441i
\(94\) 2.77969e10 + 6.83417e9i 0.390655 + 0.0960467i
\(95\) −4.51809e10 −0.599066
\(96\) 5.42863e10 + 2.42426e10i 0.679514 + 0.303451i
\(97\) 7.16237e9 0.0846862 0.0423431 0.999103i \(-0.486518\pi\)
0.0423431 + 0.999103i \(0.486518\pi\)
\(98\) −1.72553e11 4.24239e10i −1.92832 0.474097i
\(99\) 1.56458e10 1.56458e10i 0.165351 0.165351i
\(100\) −7.27119e10 + 1.38933e11i −0.727119 + 1.38933i
\(101\) 5.25797e10 + 5.25797e10i 0.497795 + 0.497795i 0.910751 0.412956i \(-0.135504\pi\)
−0.412956 + 0.910751i \(0.635504\pi\)
\(102\) 1.18160e11 7.15241e10i 1.05967 0.641433i
\(103\) 1.14829e11i 0.975995i 0.872845 + 0.487998i \(0.162273\pi\)
−0.872845 + 0.487998i \(0.837727\pi\)
\(104\) −6.12967e9 + 3.81515e8i −0.0494030 + 0.00307488i
\(105\) 2.69500e11i 2.06071i
\(106\) −4.54313e10 7.50539e10i −0.329741 0.544742i
\(107\) −8.73178e10 8.73178e10i −0.601855 0.601855i 0.338949 0.940805i \(-0.389928\pi\)
−0.940805 + 0.338949i \(0.889928\pi\)
\(108\) 4.90735e10 + 1.56840e11i 0.321378 + 1.02713i
\(109\) −1.89356e10 + 1.89356e10i −0.117878 + 0.117878i −0.763585 0.645707i \(-0.776563\pi\)
0.645707 + 0.763585i \(0.276563\pi\)
\(110\) −3.38706e10 + 1.37763e11i −0.200523 + 0.815594i
\(111\) 9.99699e10 0.563110
\(112\) 2.64800e11 1.83689e11i 1.41977 0.984882i
\(113\) 6.12609e10 0.312790 0.156395 0.987695i \(-0.450013\pi\)
0.156395 + 0.987695i \(0.450013\pi\)
\(114\) 1.36545e10 5.55374e10i 0.0664199 0.270153i
\(115\) −2.47648e11 + 2.47648e11i −1.14814 + 1.14814i
\(116\) −3.50827e11 + 1.09770e11i −1.55087 + 0.485250i
\(117\) −3.70347e9 3.70347e9i −0.0156166 0.0156166i
\(118\) 3.66322e10 + 6.05175e10i 0.147405 + 0.243517i
\(119\) 7.48702e11i 2.87608i
\(120\) −2.43701e11 2.15142e11i −0.894046 0.789275i
\(121\) 2.06943e11i 0.725322i
\(122\) 1.72026e11 1.04130e11i 0.576255 0.348816i
\(123\) −1.00982e11 1.00982e11i −0.323419 0.323419i
\(124\) 6.29016e10 + 3.29200e10i 0.192682 + 0.100842i
\(125\) 2.19647e11 2.19647e11i 0.643754 0.643754i
\(126\) 2.66887e11 + 6.56171e10i 0.748669 + 0.184068i
\(127\) 4.12612e11 1.10821 0.554104 0.832447i \(-0.313061\pi\)
0.554104 + 0.832447i \(0.313061\pi\)
\(128\) −4.52851e10 + 3.86089e11i −0.116493 + 0.993191i
\(129\) 3.11461e11 0.767644
\(130\) 3.26094e10 + 8.01739e9i 0.0770291 + 0.0189385i
\(131\) −2.28952e11 + 2.28952e11i −0.518503 + 0.518503i −0.917118 0.398615i \(-0.869491\pi\)
0.398615 + 0.917118i \(0.369491\pi\)
\(132\) −1.59106e11 8.32691e10i −0.345564 0.180854i
\(133\) −2.19212e11 2.19212e11i −0.456751 0.456751i
\(134\) −1.76229e11 + 1.06674e11i −0.352371 + 0.213296i
\(135\) 8.98564e11i 1.72470i
\(136\) 6.77028e11 + 5.97689e11i 1.24779 + 1.10157i
\(137\) 9.63336e11i 1.70535i 0.522438 + 0.852677i \(0.325023\pi\)
−0.522438 + 0.852677i \(0.674977\pi\)
\(138\) −2.29571e11 3.79258e11i −0.390465 0.645060i
\(139\) −8.56724e10 8.56724e10i −0.140042 0.140042i 0.633610 0.773652i \(-0.281572\pi\)
−0.773652 + 0.633610i \(0.781572\pi\)
\(140\) −1.68173e12 + 5.26195e11i −2.64272 + 0.826879i
\(141\) 1.40092e11 1.40092e11i 0.211694 0.211694i
\(142\) 1.86065e11 7.56789e11i 0.270445 1.09999i
\(143\) 1.85504e10 0.0259421
\(144\) −2.72392e11 + 1.88956e11i −0.366607 + 0.254312i
\(145\) 2.00995e12 2.60413
\(146\) 1.65456e11 6.72968e11i 0.206416 0.839563i
\(147\) −8.69637e11 + 8.69637e11i −1.04494 + 1.04494i
\(148\) 1.95190e11 + 6.23830e11i 0.225953 + 0.722149i
\(149\) −9.78483e11 9.78483e11i −1.09151 1.09151i −0.995367 0.0961450i \(-0.969349\pi\)
−0.0961450 0.995367i \(-0.530651\pi\)
\(150\) 5.62023e11 + 9.28479e11i 0.604299 + 0.998321i
\(151\) 5.06918e11i 0.525490i 0.964865 + 0.262745i \(0.0846278\pi\)
−0.964865 + 0.262745i \(0.915372\pi\)
\(152\) 3.73223e11 2.32297e10i 0.373103 0.0232222i
\(153\) 7.70168e11i 0.742647i
\(154\) −8.32745e11 + 5.04074e11i −0.774726 + 0.468954i
\(155\) −2.74490e11 2.74490e11i −0.246435 0.246435i
\(156\) −1.97103e10 + 3.76613e10i −0.0170808 + 0.0326370i
\(157\) 1.10917e11 1.10917e11i 0.0928003 0.0928003i −0.659183 0.751983i \(-0.729098\pi\)
0.751983 + 0.659183i \(0.229098\pi\)
\(158\) 1.95511e12 + 4.80685e11i 1.57964 + 0.388371i
\(159\) −6.07226e11 −0.473878
\(160\) 8.66701e11 1.94080e12i 0.653446 1.46325i
\(161\) −2.40311e12 −1.75078
\(162\) 4.89223e11 + 1.20281e11i 0.344488 + 0.0846961i
\(163\) 2.13500e11 2.13500e11i 0.145334 0.145334i −0.630696 0.776030i \(-0.717231\pi\)
0.776030 + 0.630696i \(0.217231\pi\)
\(164\) 4.32978e11 8.27309e11i 0.284987 0.544536i
\(165\) 6.94305e11 + 6.94305e11i 0.441966 + 0.441966i
\(166\) −8.84558e11 + 5.35437e11i −0.544668 + 0.329696i
\(167\) 1.18776e12i 0.707601i 0.935321 + 0.353801i \(0.115111\pi\)
−0.935321 + 0.353801i \(0.884889\pi\)
\(168\) −1.38563e11 2.22624e12i −0.0798814 1.28343i
\(169\) 1.78777e12i 0.997550i
\(170\) −2.55706e12 4.22435e12i −1.38125 2.28187i
\(171\) 2.25497e11 + 2.25497e11i 0.117940 + 0.117940i
\(172\) 6.08123e11 + 1.94357e12i 0.308024 + 0.984450i
\(173\) −2.35793e12 + 2.35793e12i −1.15685 + 1.15685i −0.171705 + 0.985148i \(0.554928\pi\)
−0.985148 + 0.171705i \(0.945072\pi\)
\(174\) −6.07444e11 + 2.47068e12i −0.288726 + 1.17435i
\(175\) 5.88316e12 2.70958
\(176\) 2.08962e11 1.15543e12i 0.0932714 0.515731i
\(177\) 4.89619e11 0.211839
\(178\) −1.73705e11 + 7.06517e11i −0.0728622 + 0.296355i
\(179\) −9.13904e11 + 9.13904e11i −0.371714 + 0.371714i −0.868101 0.496387i \(-0.834660\pi\)
0.496387 + 0.868101i \(0.334660\pi\)
\(180\) 1.72994e12 5.41281e11i 0.682391 0.213513i
\(181\) −2.20066e12 2.20066e12i −0.842016 0.842016i 0.147104 0.989121i \(-0.453005\pi\)
−0.989121 + 0.147104i \(0.953005\pi\)
\(182\) 1.19317e11 + 1.97116e11i 0.0442906 + 0.0731694i
\(183\) 1.39178e12i 0.501291i
\(184\) 1.91840e12 2.17306e12i 0.670566 0.759580i
\(185\) 3.57404e12i 1.21259i
\(186\) 4.20365e11 2.54453e11i 0.138454 0.0838083i
\(187\) −1.92886e12 1.92886e12i −0.616839 0.616839i
\(188\) 1.14772e12 + 6.00670e11i 0.356426 + 0.186538i
\(189\) 4.35971e12 4.35971e12i 1.31498 1.31498i
\(190\) −1.98552e12 4.88163e11i −0.581742 0.143028i
\(191\) −4.16073e12 −1.18437 −0.592183 0.805804i \(-0.701734\pi\)
−0.592183 + 0.805804i \(0.701734\pi\)
\(192\) 2.12374e12 + 1.65191e12i 0.587414 + 0.456910i
\(193\) 2.38918e12 0.642220 0.321110 0.947042i \(-0.395944\pi\)
0.321110 + 0.947042i \(0.395944\pi\)
\(194\) 3.14758e11 + 7.73868e10i 0.0822371 + 0.0202189i
\(195\) 1.64346e11 1.64346e11i 0.0417417 0.0417417i
\(196\) −7.12464e12 3.72873e12i −1.75936 0.920774i
\(197\) −3.41311e12 3.41311e12i −0.819569 0.819569i 0.166476 0.986045i \(-0.446761\pi\)
−0.986045 + 0.166476i \(0.946761\pi\)
\(198\) 8.56622e11 5.18526e11i 0.200046 0.121091i
\(199\) 5.08486e12i 1.15501i 0.816386 + 0.577507i \(0.195974\pi\)
−0.816386 + 0.577507i \(0.804026\pi\)
\(200\) −4.69653e12 + 5.31996e12i −1.03780 + 1.17556i
\(201\) 1.42578e12i 0.306532i
\(202\) 1.74257e12 + 2.87878e12i 0.364551 + 0.602249i
\(203\) 9.75203e12 + 9.75203e12i 1.98549 + 1.98549i
\(204\) 5.96546e12 1.86653e12i 1.18216 0.369887i
\(205\) −3.61021e12 + 3.61021e12i −0.696444 + 0.696444i
\(206\) −1.24069e12 + 5.04630e12i −0.233020 + 0.947770i
\(207\) 2.47201e12 0.452078
\(208\) −2.73497e11 4.94627e10i −0.0487085 0.00880906i
\(209\) −1.12950e12 −0.195921
\(210\) −2.91185e12 + 1.18435e13i −0.491997 + 2.00112i
\(211\) −1.13531e12 + 1.13531e12i −0.186880 + 0.186880i −0.794346 0.607466i \(-0.792186\pi\)
0.607466 + 0.794346i \(0.292186\pi\)
\(212\) −1.18560e12 3.78919e12i −0.190148 0.607715i
\(213\) −3.81410e12 3.81410e12i −0.596079 0.596079i
\(214\) −2.89384e12 4.78071e12i −0.440757 0.728143i
\(215\) 1.11351e13i 1.65303i
\(216\) 4.61995e11 + 7.42272e12i 0.0668562 + 1.07416i
\(217\) 2.66358e12i 0.375782i
\(218\) −1.03674e12 + 6.27555e11i −0.142613 + 0.0863258i
\(219\) −3.39165e12 3.39165e12i −0.454955 0.454955i
\(220\) −2.97696e12 + 5.68820e12i −0.389447 + 0.744133i
\(221\) −4.56573e11 + 4.56573e11i −0.0582576 + 0.0582576i
\(222\) 4.39329e12 + 1.08014e12i 0.546825 + 0.134443i
\(223\) 4.96676e12 0.603110 0.301555 0.953449i \(-0.402494\pi\)
0.301555 + 0.953449i \(0.402494\pi\)
\(224\) 1.36216e13 5.21136e12i 1.61385 0.617429i
\(225\) −6.05184e12 −0.699654
\(226\) 2.69218e12 + 6.61902e11i 0.303744 + 0.0746787i
\(227\) 9.95306e12 9.95306e12i 1.09601 1.09601i 0.101137 0.994873i \(-0.467752\pi\)
0.994873 0.101137i \(-0.0322479\pi\)
\(228\) 1.20012e12 2.29312e12i 0.128998 0.246482i
\(229\) 1.28407e13 + 1.28407e13i 1.34739 + 1.34739i 0.888490 + 0.458896i \(0.151755\pi\)
0.458896 + 0.888490i \(0.348245\pi\)
\(230\) −1.35589e13 + 8.20741e12i −1.38906 + 0.840820i
\(231\) 6.73735e12i 0.673943i
\(232\) −1.66035e13 + 1.03341e12i −1.62187 + 0.100946i
\(233\) 1.48141e13i 1.41325i −0.707590 0.706624i \(-0.750217\pi\)
0.707590 0.706624i \(-0.249783\pi\)
\(234\) −1.22738e11 2.02768e11i −0.0114365 0.0188935i
\(235\) −5.00844e12 5.00844e12i −0.455858 0.455858i
\(236\) 9.55973e11 + 3.05530e12i 0.0850021 + 0.271668i
\(237\) 9.85344e12 9.85344e12i 0.855997 0.855997i
\(238\) 8.08944e12 3.29025e13i 0.686666 2.79290i
\(239\) −1.49728e13 −1.24198 −0.620991 0.783818i \(-0.713270\pi\)
−0.620991 + 0.783818i \(0.713270\pi\)
\(240\) −8.38516e12 1.20877e13i −0.679751 0.979904i
\(241\) −1.47290e13 −1.16703 −0.583513 0.812104i \(-0.698322\pi\)
−0.583513 + 0.812104i \(0.698322\pi\)
\(242\) 2.23594e12 9.09433e12i 0.173171 0.704346i
\(243\) −7.58579e12 + 7.58579e12i −0.574336 + 0.574336i
\(244\) 8.68495e12 2.71743e12i 0.642870 0.201147i
\(245\) 3.10905e13 + 3.10905e13i 2.25016 + 2.25016i
\(246\) −3.34669e12 5.52883e12i −0.236849 0.391282i
\(247\) 2.67359e11i 0.0185038i
\(248\) 2.40859e12 + 2.12633e12i 0.163034 + 0.143929i
\(249\) 7.15654e12i 0.473813i
\(250\) 1.20258e13 7.27942e12i 0.778834 0.471440i
\(251\) −9.46342e12 9.46342e12i −0.599574 0.599574i 0.340625 0.940199i \(-0.389361\pi\)
−0.940199 + 0.340625i \(0.889361\pi\)
\(252\) 1.10197e13 + 5.76723e12i 0.683072 + 0.357491i
\(253\) −6.19106e12 + 6.19106e12i −0.375493 + 0.375493i
\(254\) 1.81327e13 + 4.45812e12i 1.07616 + 0.264586i
\(255\) −3.41772e13 −1.98502
\(256\) −6.16166e12 + 1.64778e13i −0.350250 + 0.936656i
\(257\) 5.66495e12 0.315184 0.157592 0.987504i \(-0.449627\pi\)
0.157592 + 0.987504i \(0.449627\pi\)
\(258\) 1.36875e13 + 3.36522e12i 0.745445 + 0.183276i
\(259\) 1.73407e13 1.73407e13i 0.924526 0.924526i
\(260\) 1.34643e12 + 7.04666e11i 0.0702799 + 0.0367815i
\(261\) −1.00316e13 1.00316e13i −0.512683 0.512683i
\(262\) −1.25353e13 + 7.58779e12i −0.627302 + 0.379715i
\(263\) 3.10458e13i 1.52141i 0.649097 + 0.760706i \(0.275147\pi\)
−0.649097 + 0.760706i \(0.724853\pi\)
\(264\) −6.09238e12 5.37843e12i −0.292392 0.258127i
\(265\) 2.17090e13i 1.02044i
\(266\) −7.26500e12 1.20020e13i −0.334493 0.552592i
\(267\) 3.56073e12 + 3.56073e12i 0.160593 + 0.160593i
\(268\) −8.89714e12 + 2.78382e12i −0.393105 + 0.122999i
\(269\) −2.02024e13 + 2.02024e13i −0.874511 + 0.874511i −0.992960 0.118449i \(-0.962208\pi\)
0.118449 + 0.992960i \(0.462208\pi\)
\(270\) 9.70865e12 3.94884e13i 0.411773 1.67482i
\(271\) 5.30222e12 0.220357 0.110179 0.993912i \(-0.464858\pi\)
0.110179 + 0.993912i \(0.464858\pi\)
\(272\) 2.32949e13 + 3.35811e13i 0.948708 + 1.36762i
\(273\) 1.59477e12 0.0636509
\(274\) −1.04085e13 + 4.23349e13i −0.407155 + 1.65604i
\(275\) 1.51566e13 1.51566e13i 0.581129 0.581129i
\(276\) −5.99100e12 1.91473e13i −0.225164 0.719629i
\(277\) 6.60723e12 + 6.60723e12i 0.243434 + 0.243434i 0.818269 0.574835i \(-0.194934\pi\)
−0.574835 + 0.818269i \(0.694934\pi\)
\(278\) −2.83931e12 4.69062e12i −0.102557 0.169428i
\(279\) 2.73994e12i 0.0970328i
\(280\) −7.95907e13 + 4.95377e12i −2.76371 + 0.172015i
\(281\) 3.22319e13i 1.09749i −0.835990 0.548745i \(-0.815106\pi\)
0.835990 0.548745i \(-0.184894\pi\)
\(282\) 7.67013e12 4.64285e12i 0.256114 0.155030i
\(283\) 9.31687e12 + 9.31687e12i 0.305102 + 0.305102i 0.843006 0.537904i \(-0.180784\pi\)
−0.537904 + 0.843006i \(0.680784\pi\)
\(284\) 1.63537e13 3.12476e13i 0.525247 1.00361i
\(285\) −1.00067e13 + 1.00067e13i −0.315243 + 0.315243i
\(286\) 8.15219e11 + 2.00430e11i 0.0251919 + 0.00619370i
\(287\) −3.50325e13 −1.06199
\(288\) −1.40122e13 + 5.36078e12i −0.416722 + 0.159430i
\(289\) 6.06763e13 1.77044
\(290\) 8.83296e13 + 2.17168e13i 2.52882 + 0.621737i
\(291\) 1.58633e12 1.58633e12i 0.0445638 0.0445638i
\(292\) 1.45423e13 2.77866e13i 0.400893 0.766002i
\(293\) −1.68183e13 1.68183e13i −0.454999 0.454999i 0.442010 0.897010i \(-0.354265\pi\)
−0.897010 + 0.442010i \(0.854265\pi\)
\(294\) −4.76133e13 + 2.88211e13i −1.26421 + 0.765244i
\(295\) 1.75044e13i 0.456170i
\(296\) 1.83758e12 + 2.95238e13i 0.0470048 + 0.755211i
\(297\) 2.24636e13i 0.564052i
\(298\) −3.24284e13 5.35726e13i −0.799347 1.32055i
\(299\) 1.46546e12 + 1.46546e12i 0.0354636 + 0.0354636i
\(300\) 1.46668e13 + 4.68755e13i 0.348474 + 1.11373i
\(301\) 5.40259e13 5.40259e13i 1.26034 1.26034i
\(302\) −5.47706e12 + 2.22771e13i −0.125461 + 0.510293i
\(303\) 2.32909e13 0.523903
\(304\) 1.66527e13 + 3.01169e12i 0.367858 + 0.0665281i
\(305\) −4.97577e13 −1.07947
\(306\) −8.32138e12 + 3.38459e13i −0.177308 + 0.721171i
\(307\) −7.64934e12 + 7.64934e12i −0.160089 + 0.160089i −0.782606 0.622517i \(-0.786110\pi\)
0.622517 + 0.782606i \(0.286110\pi\)
\(308\) −4.20422e13 + 1.31546e13i −0.864285 + 0.270426i
\(309\) 2.54325e13 + 2.54325e13i 0.513591 + 0.513591i
\(310\) −9.09699e12 1.50285e13i −0.180471 0.298144i
\(311\) 4.12580e13i 0.804129i −0.915611 0.402065i \(-0.868293\pi\)
0.915611 0.402065i \(-0.131707\pi\)
\(312\) −1.27311e12 + 1.44211e12i −0.0243790 + 0.0276151i
\(313\) 1.92404e13i 0.362009i −0.983482 0.181004i \(-0.942065\pi\)
0.983482 0.181004i \(-0.0579348\pi\)
\(314\) 6.07278e12 3.67595e12i 0.112273 0.0679604i
\(315\) −4.80877e13 4.80877e13i −0.873626 0.873626i
\(316\) 8.07259e13 + 4.22485e13i 1.44123 + 0.754279i
\(317\) −2.64067e13 + 2.64067e13i −0.463327 + 0.463327i −0.899744 0.436417i \(-0.856247\pi\)
0.436417 + 0.899744i \(0.356247\pi\)
\(318\) −2.66852e13 6.56085e12i −0.460173 0.113139i
\(319\) 5.02477e13 0.851663
\(320\) 5.90577e13 7.59260e13i 0.983902 1.26493i
\(321\) −3.86785e13 −0.633420
\(322\) −1.05607e14 2.59647e13i −1.70015 0.418000i
\(323\) 2.77998e13 2.77998e13i 0.439975 0.439975i
\(324\) 2.01998e13 + 1.05717e13i 0.314304 + 0.164494i
\(325\) −3.58766e12 3.58766e12i −0.0548850 0.0548850i
\(326\) 1.16893e13 7.07572e12i 0.175830 0.106432i
\(327\) 8.38777e12i 0.124061i
\(328\) 2.79665e13 3.16788e13i 0.406754 0.460748i
\(329\) 4.86006e13i 0.695127i
\(330\) 2.30103e13 + 3.80137e13i 0.323665 + 0.534704i
\(331\) 7.13929e13 + 7.13929e13i 0.987645 + 0.987645i 0.999925 0.0122794i \(-0.00390875\pi\)
−0.0122794 + 0.999925i \(0.503909\pi\)
\(332\) −4.46581e13 + 1.39730e13i −0.607632 + 0.190122i
\(333\) −1.78379e13 + 1.78379e13i −0.238727 + 0.238727i
\(334\) −1.28333e13 + 5.21975e13i −0.168940 + 0.687138i
\(335\) 5.09734e13 0.660080
\(336\) 1.79644e13 9.93318e13i 0.228848 1.26538i
\(337\) −1.21387e14 −1.52128 −0.760640 0.649174i \(-0.775115\pi\)
−0.760640 + 0.649174i \(0.775115\pi\)
\(338\) −1.93162e13 + 7.85655e13i −0.238166 + 0.968702i
\(339\) 1.35681e13 1.35681e13i 0.164597 0.164597i
\(340\) −6.67305e13 2.13272e14i −0.796509 2.54565i
\(341\) −6.86209e12 6.86209e12i −0.0805949 0.0805949i
\(342\) 7.47330e12 + 1.23461e13i 0.0863711 + 0.142688i
\(343\) 1.49764e14i 1.70329i
\(344\) 5.72507e12 + 9.19829e13i 0.0640781 + 1.02952i
\(345\) 1.09699e14i 1.20836i
\(346\) −1.29099e14 + 7.81454e13i −1.39960 + 0.847198i
\(347\) 7.47878e13 + 7.47878e13i 0.798029 + 0.798029i 0.982784 0.184756i \(-0.0591494\pi\)
−0.184756 + 0.982784i \(0.559149\pi\)
\(348\) −5.33896e13 + 1.02014e14i −0.560752 + 1.07145i
\(349\) 8.65476e13 8.65476e13i 0.894778 0.894778i −0.100190 0.994968i \(-0.531945\pi\)
0.994968 + 0.100190i \(0.0319452\pi\)
\(350\) 2.58542e14 + 6.35653e13i 2.63122 + 0.646913i
\(351\) −5.31728e12 −0.0532721
\(352\) 2.16671e13 4.85188e13i 0.213705 0.478548i
\(353\) 6.93898e13 0.673806 0.336903 0.941539i \(-0.390621\pi\)
0.336903 + 0.941539i \(0.390621\pi\)
\(354\) 2.15168e13 + 5.29015e12i 0.205712 + 0.0505766i
\(355\) −1.36358e14 + 1.36358e14i −1.28359 + 1.28359i
\(356\) −1.52673e13 + 2.91719e13i −0.141510 + 0.270389i
\(357\) −1.65823e14 1.65823e14i −1.51346 1.51346i
\(358\) −5.00369e13 + 3.02881e13i −0.449711 + 0.272217i
\(359\) 4.38782e13i 0.388355i −0.980966 0.194177i \(-0.937796\pi\)
0.980966 0.194177i \(-0.0622038\pi\)
\(360\) 8.18726e13 5.09581e12i 0.713633 0.0444170i
\(361\) 1.00211e14i 0.860255i
\(362\) −7.29331e13 1.20488e14i −0.616634 1.01870i
\(363\) −4.58339e13 4.58339e13i −0.381681 0.381681i
\(364\) 3.11377e12 + 9.95166e12i 0.0255405 + 0.0816278i
\(365\) −1.21255e14 + 1.21255e14i −0.979692 + 0.979692i
\(366\) 1.50377e13 6.11633e13i 0.119684 0.486794i
\(367\) −3.72992e13 −0.292440 −0.146220 0.989252i \(-0.546711\pi\)
−0.146220 + 0.989252i \(0.546711\pi\)
\(368\) 1.07785e14 7.47698e13i 0.832525 0.577515i
\(369\) 3.60370e13 0.274223
\(370\) 3.86161e13 1.57065e14i 0.289507 1.17752i
\(371\) −1.05329e14 + 1.05329e14i −0.778023 + 0.778023i
\(372\) 2.12227e13 6.64035e12i 0.154459 0.0483287i
\(373\) 1.64745e12 + 1.64745e12i 0.0118144 + 0.0118144i 0.712989 0.701175i \(-0.247341\pi\)
−0.701175 + 0.712989i \(0.747341\pi\)
\(374\) −6.39252e13 1.05606e14i −0.451730 0.746271i
\(375\) 9.72953e13i 0.677517i
\(376\) 4.39480e13 + 3.87979e13i 0.301583 + 0.266241i
\(377\) 1.18940e13i 0.0804357i
\(378\) 2.38697e14 1.44487e14i 1.59090 0.962997i
\(379\) 9.18784e13 + 9.18784e13i 0.603529 + 0.603529i 0.941247 0.337718i \(-0.109655\pi\)
−0.337718 + 0.941247i \(0.609655\pi\)
\(380\) −8.19816e13 4.29057e13i −0.530770 0.277783i
\(381\) 9.13858e13 9.13858e13i 0.583165 0.583165i
\(382\) −1.82848e14 4.49551e13i −1.15011 0.282768i
\(383\) 2.80515e14 1.73925 0.869627 0.493709i \(-0.164359\pi\)
0.869627 + 0.493709i \(0.164359\pi\)
\(384\) 7.54817e13 + 9.55414e13i 0.461339 + 0.583942i
\(385\) 2.40868e14 1.45126
\(386\) 1.04995e14 + 2.58142e13i 0.623647 + 0.153330i
\(387\) −5.55749e13 + 5.55749e13i −0.325438 + 0.325438i
\(388\) 1.29963e13 + 6.80170e12i 0.0750316 + 0.0392684i
\(389\) −4.93119e13 4.93119e13i −0.280691 0.280691i 0.552693 0.833385i \(-0.313600\pi\)
−0.833385 + 0.552693i \(0.813600\pi\)
\(390\) 8.99808e12 5.44668e12i 0.0505004 0.0305687i
\(391\) 3.04756e14i 1.68647i
\(392\) −2.72813e14 2.40842e14i −1.48864 1.31419i
\(393\) 1.01417e14i 0.545697i
\(394\) −1.13115e14 1.86870e14i −0.600195 0.991541i
\(395\) −3.52271e14 3.52271e14i −1.84329 1.84329i
\(396\) 4.32477e13 1.35317e13i 0.223172 0.0698281i
\(397\) −1.03749e14 + 1.03749e14i −0.528001 + 0.528001i −0.919976 0.391975i \(-0.871792\pi\)
0.391975 + 0.919976i \(0.371792\pi\)
\(398\) −5.49400e13 + 2.23460e14i −0.275760 + 1.12161i
\(399\) −9.71026e13 −0.480706
\(400\) −2.63874e14 + 1.83047e14i −1.28845 + 0.893786i
\(401\) 1.70773e14 0.822481 0.411241 0.911527i \(-0.365096\pi\)
0.411241 + 0.911527i \(0.365096\pi\)
\(402\) −1.54051e13 + 6.26577e13i −0.0731847 + 0.297667i
\(403\) −1.62430e12 + 1.62430e12i −0.00761182 + 0.00761182i
\(404\) 4.54750e13 + 1.45339e14i 0.210221 + 0.671869i
\(405\) −8.81480e13 8.81480e13i −0.401985 0.401985i
\(406\) 3.23197e14 + 5.33931e14i 1.45403 + 2.40210i
\(407\) 8.93489e13i 0.396570i
\(408\) 2.82326e14 1.75721e13i 1.23629 0.0769474i
\(409\) 1.45021e14i 0.626544i −0.949664 0.313272i \(-0.898575\pi\)
0.949664 0.313272i \(-0.101425\pi\)
\(410\) −1.97662e14 + 1.19648e14i −0.842580 + 0.510027i
\(411\) 2.13361e14 + 2.13361e14i 0.897397 + 0.897397i
\(412\) −1.09047e14 + 2.08360e14i −0.452562 + 0.864728i
\(413\) 8.49291e13 8.49291e13i 0.347801 0.347801i
\(414\) 1.08635e14 + 2.67091e13i 0.439004 + 0.107934i
\(415\) 2.55854e14 1.02030
\(416\) −1.14847e13 5.12873e12i −0.0451967 0.0201835i
\(417\) −3.79496e13 −0.147387
\(418\) −4.96370e13 1.22038e13i −0.190255 0.0467763i
\(419\) −3.03198e13 + 3.03198e13i −0.114696 + 0.114696i −0.762126 0.647429i \(-0.775844\pi\)
0.647429 + 0.762126i \(0.275844\pi\)
\(420\) −2.55929e14 + 4.89013e14i −0.955538 + 1.82578i
\(421\) 1.85927e14 + 1.85927e14i 0.685159 + 0.685159i 0.961158 0.275999i \(-0.0890086\pi\)
−0.275999 + 0.961158i \(0.589009\pi\)
\(422\) −6.21593e13 + 3.76260e13i −0.226093 + 0.136858i
\(423\) 4.99940e13i 0.179492i
\(424\) −1.11616e13 1.79330e14i −0.0395563 0.635538i
\(425\) 7.46086e14i 2.61005i
\(426\) −1.26405e14 2.08824e14i −0.436526 0.721155i
\(427\) −2.41418e14 2.41418e14i −0.823030 0.823030i
\(428\) −7.55192e13 2.41361e14i −0.254166 0.812317i
\(429\) 4.10857e12 4.10857e12i 0.0136513 0.0136513i
\(430\) 1.20310e14 4.89343e14i 0.394663 1.60523i
\(431\) −3.76849e14 −1.22051 −0.610257 0.792204i \(-0.708934\pi\)
−0.610257 + 0.792204i \(0.708934\pi\)
\(432\) −5.98968e13 + 3.31191e14i −0.191533 + 1.05905i
\(433\) 4.33418e14 1.36843 0.684217 0.729279i \(-0.260144\pi\)
0.684217 + 0.729279i \(0.260144\pi\)
\(434\) 2.87789e13 1.17054e14i 0.0897183 0.364915i
\(435\) 4.45167e14 4.45167e14i 1.37035 1.37035i
\(436\) −5.23411e13 + 1.63770e13i −0.159099 + 0.0497804i
\(437\) −8.92291e13 8.92291e13i −0.267830 0.267830i
\(438\) −1.12404e14 1.85695e14i −0.333177 0.550419i
\(439\) 3.58435e14i 1.04919i 0.851351 + 0.524597i \(0.175784\pi\)
−0.851351 + 0.524597i \(0.824216\pi\)
\(440\) −1.92285e14 + 2.17809e14i −0.555847 + 0.629632i
\(441\) 3.10344e14i 0.885995i
\(442\) −2.49977e13 + 1.51315e13i −0.0704819 + 0.0426638i
\(443\) −4.66000e14 4.66000e14i −1.29767 1.29767i −0.929925 0.367749i \(-0.880129\pi\)
−0.367749 0.929925i \(-0.619871\pi\)
\(444\) 1.81397e14 + 9.49357e13i 0.498913 + 0.261110i
\(445\) 1.27300e14 1.27300e14i 0.345819 0.345819i
\(446\) 2.18270e14 + 5.36640e13i 0.585668 + 0.143993i
\(447\) −4.33431e14 −1.14876
\(448\) 6.54923e14 8.18427e13i 1.71459 0.214265i
\(449\) −5.16408e14 −1.33548 −0.667741 0.744394i \(-0.732739\pi\)
−0.667741 + 0.744394i \(0.732739\pi\)
\(450\) −2.65955e14 6.53878e13i −0.679421 0.167043i
\(451\) −9.02533e13 + 9.02533e13i −0.227768 + 0.227768i
\(452\) 1.11159e14 + 5.81760e13i 0.277130 + 0.145038i
\(453\) 1.12273e14 + 1.12273e14i 0.276525 + 0.276525i
\(454\) 5.44937e14 3.29859e14i 1.32599 0.802641i
\(455\) 5.70149e13i 0.137065i
\(456\) 7.75170e13 8.78069e13i 0.184116 0.208556i
\(457\) 2.08085e14i 0.488316i −0.969735 0.244158i \(-0.921488\pi\)
0.969735 0.244158i \(-0.0785115\pi\)
\(458\) 4.25558e14 + 7.03035e14i 0.986731 + 1.63011i
\(459\) 5.52887e14 + 5.52887e14i 1.26668 + 1.26668i
\(460\) −6.84539e14 + 2.14185e14i −1.54964 + 0.484865i
\(461\) 1.82664e14 1.82664e14i 0.408599 0.408599i −0.472651 0.881250i \(-0.656703\pi\)
0.881250 + 0.472651i \(0.156703\pi\)
\(462\) −7.27946e13 + 2.96080e14i −0.160905 + 0.654454i
\(463\) 1.40941e13 0.0307851 0.0153926 0.999882i \(-0.495100\pi\)
0.0153926 + 0.999882i \(0.495100\pi\)
\(464\) −7.40825e14 1.33980e14i −1.59907 0.289196i
\(465\) −1.21589e14 −0.259359
\(466\) 1.60061e14 6.51023e14i 0.337414 1.37238i
\(467\) −3.52064e14 + 3.52064e14i −0.733465 + 0.733465i −0.971304 0.237840i \(-0.923561\pi\)
0.237840 + 0.971304i \(0.423561\pi\)
\(468\) −3.20305e12 1.02370e13i −0.00659494 0.0210776i
\(469\) 2.47316e14 + 2.47316e14i 0.503271 + 0.503271i
\(470\) −1.65987e14 2.74216e14i −0.333838 0.551511i
\(471\) 4.91320e13i 0.0976673i
\(472\) 8.99985e12 + 1.44598e14i 0.0176829 + 0.284106i
\(473\) 2.78371e14i 0.540614i
\(474\) 5.39483e14 3.26558e14i 1.03561 0.626872i
\(475\) 2.18446e14 + 2.18446e14i 0.414504 + 0.414504i
\(476\) 7.10999e14 1.35853e15i 1.33362 2.54819i
\(477\) 1.08349e14 1.08349e14i 0.200897 0.200897i
\(478\) −6.57997e14 1.61776e14i −1.20606 0.296524i
\(479\) 9.95852e14 1.80447 0.902235 0.431246i \(-0.141926\pi\)
0.902235 + 0.431246i \(0.141926\pi\)
\(480\) −2.37892e14 6.21808e14i −0.426140 1.11386i
\(481\) −2.11495e13 −0.0374543
\(482\) −6.47284e14 1.59142e14i −1.13328 0.278629i
\(483\) −5.32244e14 + 5.32244e14i −0.921300 + 0.921300i
\(484\) 1.96522e14 3.75502e14i 0.336326 0.642632i
\(485\) −5.67131e13 5.67131e13i −0.0959630 0.0959630i
\(486\) −4.15328e14 + 2.51404e14i −0.694850 + 0.420604i
\(487\) 2.25030e14i 0.372247i −0.982526 0.186123i \(-0.940408\pi\)
0.982526 0.186123i \(-0.0595924\pi\)
\(488\) 4.11030e14 2.55828e13i 0.672303 0.0418446i
\(489\) 9.45727e13i 0.152956i
\(490\) 1.03038e15 + 1.70223e15i 1.64786 + 2.72232i
\(491\) 4.23772e14 + 4.23772e14i 0.670168 + 0.670168i 0.957755 0.287586i \(-0.0928529\pi\)
−0.287586 + 0.957755i \(0.592853\pi\)
\(492\) −8.73369e13 2.79130e14i −0.136581 0.436514i
\(493\) −1.23672e15 + 1.23672e15i −1.91256 + 1.91256i
\(494\) −2.88872e12 + 1.17494e13i −0.00441781 + 0.0179687i
\(495\) −2.47774e14 −0.374737
\(496\) 8.28739e13 + 1.19468e14i 0.123956 + 0.178691i
\(497\) −1.32318e15 −1.95731
\(498\) −7.73238e13 + 3.14502e14i −0.113123 + 0.460111i
\(499\) 5.32410e14 5.32410e14i 0.770359 0.770359i −0.207810 0.978169i \(-0.566634\pi\)
0.978169 + 0.207810i \(0.0666336\pi\)
\(500\) 6.07140e14 1.89968e14i 0.868868 0.271860i
\(501\) 2.63067e14 + 2.63067e14i 0.372356 + 0.372356i
\(502\) −3.13632e14 5.18129e14i −0.439086 0.725384i
\(503\) 1.50984e14i 0.209077i −0.994521 0.104538i \(-0.966663\pi\)
0.994521 0.104538i \(-0.0333365\pi\)
\(504\) 4.21959e14 + 3.72511e14i 0.577967 + 0.510236i
\(505\) 8.32674e14i 1.12816i
\(506\) −3.38965e14 + 2.05181e14i −0.454284 + 0.274985i
\(507\) 3.95957e14 + 3.95957e14i 0.524934 + 0.524934i
\(508\) 7.48693e14 + 3.91834e14i 0.981868 + 0.513868i
\(509\) −3.18716e14 + 3.18716e14i −0.413481 + 0.413481i −0.882949 0.469468i \(-0.844446\pi\)
0.469468 + 0.882949i \(0.344446\pi\)
\(510\) −1.50196e15 3.69272e14i −1.92762 0.473926i
\(511\) −1.17663e15 −1.49391
\(512\) −4.48818e14 + 6.57562e14i −0.563748 + 0.825947i
\(513\) 3.23758e14 0.402323
\(514\) 2.48953e14 + 6.12077e13i 0.306069 + 0.0752504i
\(515\) 9.09241e14 9.09241e14i 1.10596 1.10596i
\(516\) 5.65152e14 + 2.95777e14i 0.680130 + 0.355951i
\(517\) −1.25208e14 1.25208e14i −0.149085 0.149085i
\(518\) 9.49419e14 5.74698e14i 1.11852 0.677058i
\(519\) 1.04448e15i 1.21753i
\(520\) 5.15568e13 + 4.55150e13i 0.0594659 + 0.0524972i
\(521\) 3.32362e14i 0.379318i 0.981850 + 0.189659i \(0.0607382\pi\)
−0.981850 + 0.189659i \(0.939262\pi\)
\(522\) −3.32463e14 5.49239e14i −0.375453 0.620260i
\(523\) −6.65761e14 6.65761e14i −0.743976 0.743976i 0.229364 0.973341i \(-0.426335\pi\)
−0.973341 + 0.229364i \(0.926335\pi\)
\(524\) −6.32859e14 + 1.98015e14i −0.699818 + 0.218966i
\(525\) 1.30301e15 1.30301e15i 1.42584 1.42584i
\(526\) −3.35439e14 + 1.36434e15i −0.363238 + 1.47741i
\(527\) 3.37787e14 0.361980
\(528\) −2.09625e14 3.02187e14i −0.222308 0.320471i
\(529\) −2.53644e13 −0.0266207
\(530\) −2.34558e14 + 9.54026e14i −0.243631 + 0.990930i
\(531\) −8.73641e13 + 8.73641e13i −0.0898076 + 0.0898076i
\(532\) −1.89591e14 6.05937e14i −0.192888 0.616472i
\(533\) 2.13635e13 + 2.13635e13i 0.0215116 + 0.0215116i
\(534\) 1.18008e14 + 1.94953e14i 0.117607 + 0.194291i
\(535\) 1.38280e15i 1.36400i
\(536\) −4.21073e14 + 2.62078e13i −0.411103 + 0.0255873i
\(537\) 4.04825e14i 0.391209i
\(538\) −1.10610e15 + 6.69537e14i −1.05801 + 0.640430i
\(539\) 7.77246e14 + 7.77246e14i 0.735902 + 0.735902i
\(540\) 8.53314e14 1.63046e15i 0.799730 1.52808i
\(541\) 5.33393e14 5.33393e14i 0.494837 0.494837i −0.414989 0.909826i \(-0.636215\pi\)
0.909826 + 0.414989i \(0.136215\pi\)
\(542\) 2.33012e14 + 5.72885e13i 0.213984 + 0.0526104i
\(543\) −9.74809e14 −0.886177
\(544\) 6.60890e14 + 1.72745e15i 0.594751 + 1.55458i
\(545\) 2.99872e14 0.267150
\(546\) 7.00841e13 + 1.72309e13i 0.0618102 + 0.0151967i
\(547\) 1.27668e15 1.27668e15i 1.11468 1.11468i 0.122173 0.992509i \(-0.461014\pi\)
0.992509 0.122173i \(-0.0389861\pi\)
\(548\) −9.14825e14 + 1.74799e15i −0.790760 + 1.51094i
\(549\) 2.48339e14 + 2.48339e14i 0.212519 + 0.212519i
\(550\) 8.29836e14 5.02313e14i 0.703068 0.425578i
\(551\) 7.24199e14i 0.607469i
\(552\) −5.64014e13 9.06182e14i −0.0468408 0.752576i
\(553\) 3.41835e15i 2.81079i
\(554\) 2.18973e14 + 3.61750e14i 0.178274 + 0.294514i
\(555\) −7.91582e14 7.91582e14i −0.638094 0.638094i
\(556\) −7.40961e13 2.36812e14i −0.0591404 0.189014i
\(557\) −1.19205e14 + 1.19205e14i −0.0942084 + 0.0942084i −0.752640 0.658432i \(-0.771220\pi\)
0.658432 + 0.752640i \(0.271220\pi\)
\(558\) −2.96041e13 + 1.20410e14i −0.0231667 + 0.0942267i
\(559\) −6.58921e13 −0.0510585
\(560\) −3.55122e15 6.42248e14i −2.72486 0.492798i
\(561\) −8.54412e14 −0.649190
\(562\) 3.48253e14 1.41646e15i 0.262027 1.06575i
\(563\) 1.83533e15 1.83533e15i 1.36747 1.36747i 0.503449 0.864025i \(-0.332064\pi\)
0.864025 0.503449i \(-0.167936\pi\)
\(564\) 3.87237e14 1.21162e14i 0.285721 0.0893990i
\(565\) −4.85076e14 4.85076e14i −0.354441 0.354441i
\(566\) 3.08775e14 + 5.10106e14i 0.223435 + 0.369122i
\(567\) 8.55365e14i 0.612978i
\(568\) 1.05630e15 1.19651e15i 0.749671 0.849184i
\(569\) 2.10792e14i 0.148162i 0.997252 + 0.0740810i \(0.0236023\pi\)
−0.997252 + 0.0740810i \(0.976398\pi\)
\(570\) −5.47875e14 + 3.31637e14i −0.381391 + 0.230862i
\(571\) −1.11177e15 1.11177e15i −0.766507 0.766507i 0.210983 0.977490i \(-0.432334\pi\)
−0.977490 + 0.210983i \(0.932334\pi\)
\(572\) 3.36601e13 + 1.76163e13i 0.0229846 + 0.0120292i
\(573\) −9.21523e14 + 9.21523e14i −0.623241 + 0.623241i
\(574\) −1.53954e15 3.78513e14i −1.03128 0.253551i
\(575\) 2.39471e15 1.58884
\(576\) −6.73701e14 + 8.41893e13i −0.442735 + 0.0553265i
\(577\) −1.44413e15 −0.940024 −0.470012 0.882660i \(-0.655750\pi\)
−0.470012 + 0.882660i \(0.655750\pi\)
\(578\) 2.66649e15 + 6.55585e14i 1.71924 + 0.422694i
\(579\) 5.29159e14 5.29159e14i 0.337951 0.337951i
\(580\) 3.64710e15 + 1.90874e15i 2.30724 + 1.20751i
\(581\) 1.24137e15 + 1.24137e15i 0.777916 + 0.777916i
\(582\) 8.68528e13 5.25734e13i 0.0539147 0.0326354i
\(583\) 5.42713e14i 0.333728i
\(584\) 9.39303e14 1.06399e15i 0.572183 0.648136i
\(585\) 5.86496e13i 0.0353922i
\(586\) −5.57384e14 9.20816e14i −0.333210 0.550473i
\(587\) 9.87281e14 + 9.87281e14i 0.584698 + 0.584698i 0.936191 0.351493i \(-0.114326\pi\)
−0.351493 + 0.936191i \(0.614326\pi\)
\(588\) −2.40382e15 + 7.52130e14i −1.41035 + 0.441283i
\(589\) 9.89004e13 9.89004e13i 0.0574862 0.0574862i
\(590\) 1.89129e14 7.69250e14i 0.108911 0.442978i
\(591\) −1.51188e15 −0.862553
\(592\) −2.38239e14 + 1.31731e15i −0.134662 + 0.744593i
\(593\) 1.56359e15 0.875632 0.437816 0.899065i \(-0.355752\pi\)
0.437816 + 0.899065i \(0.355752\pi\)
\(594\) 2.42711e14 9.87188e14i 0.134668 0.547740i
\(595\) −5.92837e15 + 5.92837e15i −3.25906 + 3.25906i
\(596\) −8.46268e14 2.70469e15i −0.460949 1.47320i
\(597\) 1.12620e15 + 1.12620e15i 0.607795 + 0.607795i
\(598\) 4.85676e13 + 8.02352e13i 0.0259711 + 0.0429050i
\(599\) 3.21984e15i 1.70603i −0.521886 0.853015i \(-0.674771\pi\)
0.521886 0.853015i \(-0.325229\pi\)
\(600\) 1.38079e14 + 2.21846e15i 0.0724928 + 1.16472i
\(601\) 3.71403e15i 1.93213i 0.258303 + 0.966064i \(0.416837\pi\)
−0.258303 + 0.966064i \(0.583163\pi\)
\(602\) 2.95796e15 1.79050e15i 1.52479 0.922982i
\(603\) −2.54407e14 2.54407e14i −0.129952 0.129952i
\(604\) −4.81391e14 + 9.19812e14i −0.243666 + 0.465582i
\(605\) −1.63861e15 + 1.63861e15i −0.821906 + 0.821906i
\(606\) 1.02354e15 + 2.51649e14i 0.508752 + 0.125082i
\(607\) −3.66834e15 −1.80689 −0.903446 0.428703i \(-0.858971\pi\)
−0.903446 + 0.428703i \(0.858971\pi\)
\(608\) 6.99281e14 + 3.12278e14i 0.341336 + 0.152430i
\(609\) 4.31978e15 2.08962
\(610\) −2.18666e15 5.37613e14i −1.04825 0.257725i
\(611\) −2.96376e13 + 2.96376e13i −0.0140804 + 0.0140804i
\(612\) −7.31384e14 + 1.39749e15i −0.344360 + 0.657983i
\(613\) −1.62841e15 1.62841e15i −0.759854 0.759854i 0.216442 0.976295i \(-0.430555\pi\)
−0.976295 + 0.216442i \(0.930555\pi\)
\(614\) −4.18807e14 + 2.53510e14i −0.193681 + 0.117238i
\(615\) 1.59919e15i 0.732970i
\(616\) −1.98972e15 + 1.23842e14i −0.903855 + 0.0562565i
\(617\) 2.70508e15i 1.21790i 0.793208 + 0.608950i \(0.208409\pi\)
−0.793208 + 0.608950i \(0.791591\pi\)
\(618\) 8.42871e14 + 1.39245e15i 0.376118 + 0.621359i
\(619\) 1.12450e15 + 1.12450e15i 0.497349 + 0.497349i 0.910612 0.413263i \(-0.135611\pi\)
−0.413263 + 0.910612i \(0.635611\pi\)
\(620\) −2.37400e14 7.58734e14i −0.104070 0.332610i
\(621\) 1.77460e15 1.77460e15i 0.771075 0.771075i
\(622\) 4.45777e14 1.81313e15i 0.191986 0.780874i
\(623\) 1.23529e15 0.527331
\(624\) −7.15296e13 + 4.96194e13i −0.0302671 + 0.0209960i
\(625\) 2.60238e14 0.109152
\(626\) 2.07885e14 8.45539e14i 0.0864299 0.351540i
\(627\) −2.50163e14 + 2.50163e14i −0.103098 + 0.103098i
\(628\) 3.06592e14 9.59295e13i 0.125252 0.0391899i
\(629\) 2.19910e15 + 2.19910e15i 0.890569 + 0.890569i
\(630\) −1.59370e15 2.63284e15i −0.639783 1.05694i
\(631\) 3.62826e15i 1.44390i −0.691947 0.721949i \(-0.743247\pi\)
0.691947 0.721949i \(-0.256753\pi\)
\(632\) 3.09111e15 + 2.72887e15i 1.21947 + 1.07656i
\(633\) 5.02901e14i 0.196681i
\(634\) −1.44579e15 + 8.75156e14i −0.560548 + 0.339309i
\(635\) −3.26714e15 3.26714e15i −1.25578 1.25578i
\(636\) −1.10182e15 5.76648e14i −0.419854 0.219734i
\(637\) 1.83979e14 1.83979e14i 0.0695026 0.0695026i
\(638\) 2.20819e15 + 5.42908e14i 0.827034 + 0.203335i
\(639\) 1.36112e15 0.505408
\(640\) 3.41571e15 2.69856e15i 1.25745 0.993440i
\(641\) −2.02765e15 −0.740071 −0.370036 0.929018i \(-0.620655\pi\)
−0.370036 + 0.929018i \(0.620655\pi\)
\(642\) −1.69977e15 4.17907e14i −0.615102 0.151230i
\(643\) 1.68717e15 1.68717e15i 0.605340 0.605340i −0.336385 0.941725i \(-0.609204\pi\)
0.941725 + 0.336385i \(0.109204\pi\)
\(644\) −4.36049e15 2.28209e15i −1.55118 0.811823i
\(645\) −2.46621e15 2.46621e15i −0.869864 0.869864i
\(646\) 1.52206e15 9.21327e14i 0.532296 0.322207i
\(647\) 1.10797e15i 0.384197i −0.981376 0.192098i \(-0.938471\pi\)
0.981376 0.192098i \(-0.0615293\pi\)
\(648\) 7.73481e14 + 6.82839e14i 0.265942 + 0.234777i
\(649\) 4.37601e14i 0.149187i
\(650\) −1.18901e14 1.96427e14i −0.0401939 0.0664016i
\(651\) −5.89932e14 5.89932e14i −0.197745 0.197745i
\(652\) 5.90150e14 1.84652e14i 0.196155 0.0613750i
\(653\) −1.66210e15 + 1.66210e15i −0.547816 + 0.547816i −0.925809 0.377993i \(-0.876614\pi\)
0.377993 + 0.925809i \(0.376614\pi\)
\(654\) −9.06267e13 + 3.68610e14i −0.0296196 + 0.120473i
\(655\) 3.62577e15 1.17509
\(656\) 1.57130e15 1.08999e15i 0.504995 0.350310i
\(657\) 1.21036e15 0.385750
\(658\) 5.25111e14 2.13581e15i 0.165962 0.675024i
\(659\) 5.89720e14 5.89720e14i 0.184832 0.184832i −0.608626 0.793457i \(-0.708279\pi\)
0.793457 + 0.608626i \(0.208279\pi\)
\(660\) 6.00489e14 + 1.91917e15i 0.186644 + 0.596516i
\(661\) −2.71945e15 2.71945e15i −0.838247 0.838247i 0.150381 0.988628i \(-0.451950\pi\)
−0.988628 + 0.150381i \(0.951950\pi\)
\(662\) 2.36607e15 + 3.90881e15i 0.723282 + 1.19488i
\(663\) 2.02245e14i 0.0613130i
\(664\) −2.11352e15 + 1.31547e14i −0.635451 + 0.0395509i
\(665\) 3.47152e15i 1.03514i
\(666\) −9.76640e14 + 5.91175e14i −0.288819 + 0.174827i
\(667\) 3.96952e15 + 3.96952e15i 1.16425 + 1.16425i
\(668\) −1.12795e15 + 2.15522e15i −0.328109 + 0.626932i
\(669\) 1.10004e15 1.10004e15i 0.317370 0.317370i
\(670\) 2.24008e15 + 5.50748e14i 0.640991 + 0.157595i
\(671\) −1.24391e15 −0.353034
\(672\) 1.86271e15 4.17115e15i 0.524342 1.17415i
\(673\) −2.23065e15 −0.622801 −0.311400 0.950279i \(-0.600798\pi\)
−0.311400 + 0.950279i \(0.600798\pi\)
\(674\) −5.33450e15 1.31155e15i −1.47729 0.363207i
\(675\) −4.34448e15 + 4.34448e15i −1.19335 + 1.19335i
\(676\) −1.69774e15 + 3.24394e15i −0.462557 + 0.883825i
\(677\) 3.84026e14 + 3.84026e14i 0.103782 + 0.103782i 0.757091 0.653309i \(-0.226620\pi\)
−0.653309 + 0.757091i \(0.726620\pi\)
\(678\) 7.42866e14 4.49668e14i 0.199135 0.120539i
\(679\) 5.50329e14i 0.146332i
\(680\) −6.28224e14 1.00935e16i −0.165697 2.66220i
\(681\) 4.40883e15i 1.15349i
\(682\) −2.27420e14 3.75705e14i −0.0590221 0.0975063i
\(683\) −5.42054e14 5.42054e14i −0.139550 0.139550i 0.633881 0.773431i \(-0.281461\pi\)
−0.773431 + 0.633881i \(0.781461\pi\)
\(684\) 1.95027e14 + 6.23310e14i 0.0498066 + 0.159183i
\(685\) 7.62789e15 7.62789e15i 1.93244 1.93244i
\(686\) −1.61814e15 + 6.58154e15i −0.406663 + 1.65404i
\(687\) 5.68793e15 1.41805
\(688\) −7.42246e14 + 4.10415e15i −0.183574 + 1.01505i
\(689\) 1.28464e14 0.0315191
\(690\) −1.18525e15 + 4.82083e15i −0.288497 + 1.17342i
\(691\) −1.50768e15 + 1.50768e15i −0.364065 + 0.364065i −0.865307 0.501242i \(-0.832877\pi\)
0.501242 + 0.865307i \(0.332877\pi\)
\(692\) −6.51772e15 + 2.03932e15i −1.56139 + 0.488543i
\(693\) −1.20217e15 1.20217e15i −0.285714 0.285714i
\(694\) 2.47858e15 + 4.09469e15i 0.584420 + 0.965480i
\(695\) 1.35674e15i 0.317381i
\(696\) −3.44848e15 + 3.90625e15i −0.800345 + 0.906586i
\(697\) 4.44273e15i 1.02298i
\(698\) 4.73855e15 2.86832e15i 1.08253 0.655273i
\(699\) −3.28105e15 3.28105e15i −0.743684 0.743684i
\(700\) 1.06751e16 + 5.58690e15i 2.40067 + 1.25641i
\(701\) −2.70192e15 + 2.70192e15i −0.602870 + 0.602870i −0.941073 0.338203i \(-0.890181\pi\)
0.338203 + 0.941073i \(0.390181\pi\)
\(702\) −2.33674e14 5.74512e13i −0.0517315 0.0127188i
\(703\) 1.28775e15 0.282863
\(704\) 1.47641e15 1.89811e15i 0.321779 0.413687i
\(705\) −2.21855e15 −0.479766
\(706\) 3.04941e15 + 7.49731e14i 0.654320 + 0.160872i
\(707\) 4.04002e15 4.04002e15i 0.860156 0.860156i
\(708\) 8.88423e14 + 4.64963e14i 0.187688 + 0.0982280i
\(709\) 2.03058e15 + 2.03058e15i 0.425663 + 0.425663i 0.887148 0.461485i \(-0.152683\pi\)
−0.461485 + 0.887148i \(0.652683\pi\)
\(710\) −7.46571e15 + 4.51911e15i −1.55292 + 0.940009i
\(711\) 3.51636e15i 0.725789i
\(712\) −9.86130e14 + 1.11703e15i −0.201973 + 0.228784i
\(713\) 1.08420e15i 0.220351i
\(714\) −5.49563e15 9.07895e15i −1.10835 1.83103i
\(715\) −1.46886e14 1.46886e14i −0.0293966 0.0293966i
\(716\) −2.52618e15 + 7.90415e14i −0.501698 + 0.156976i
\(717\) −3.31620e15 + 3.31620e15i −0.653560 + 0.653560i
\(718\) 4.74087e14 1.92827e15i 0.0927201 0.377124i
\(719\) −2.42675e15 −0.470995 −0.235498 0.971875i \(-0.575672\pi\)
−0.235498 + 0.971875i \(0.575672\pi\)
\(720\) 3.65304e15 + 6.60663e14i 0.703600 + 0.127248i
\(721\) 8.82303e15 1.68645
\(722\) −1.08275e15 + 4.40390e15i −0.205386 + 0.835377i
\(723\) −3.26221e15 + 3.26221e15i −0.614117 + 0.614117i
\(724\) −1.90330e15 6.08298e15i −0.355586 1.13646i
\(725\) −9.71795e15 9.71795e15i −1.80184 1.80184i
\(726\) −1.51900e15 2.50944e15i −0.279517 0.461770i
\(727\) 2.47046e15i 0.451168i −0.974224 0.225584i \(-0.927571\pi\)
0.974224 0.225584i \(-0.0724290\pi\)
\(728\) 2.93141e13 + 4.70980e14i 0.00531317 + 0.0853650i
\(729\) 5.33228e15i 0.959205i
\(730\) −6.63881e15 + 4.01858e15i −1.18526 + 0.717458i
\(731\) 6.85141e15 + 6.85141e15i 1.21404 + 1.21404i
\(732\) 1.32169e15 2.52541e15i 0.232445 0.444142i
\(733\) −2.16629e15 + 2.16629e15i −0.378132 + 0.378132i −0.870428 0.492296i \(-0.836158\pi\)
0.492296 + 0.870428i \(0.336158\pi\)
\(734\) −1.63915e15 4.03004e14i −0.283982 0.0698202i
\(735\) 1.37719e16 2.36818
\(736\) 5.54461e15 2.12126e15i 0.946331 0.362048i
\(737\) 1.27431e15 0.215875
\(738\) 1.58368e15 + 3.89366e14i 0.266292 + 0.0654708i
\(739\) −1.12857e15 + 1.12857e15i −0.188357 + 0.188357i −0.794986 0.606628i \(-0.792522\pi\)
0.606628 + 0.794986i \(0.292522\pi\)
\(740\) 3.39406e15 6.48516e15i 0.562270 1.07435i
\(741\) 5.92150e13 + 5.92150e13i 0.00973715 + 0.00973715i
\(742\) −5.76685e15 + 3.49076e15i −0.941276 + 0.569769i
\(743\) 4.70323e14i 0.0762004i −0.999274 0.0381002i \(-0.987869\pi\)
0.999274 0.0381002i \(-0.0121306\pi\)
\(744\) 1.00440e15 6.25145e13i 0.161531 0.0100538i
\(745\) 1.54956e16i 2.47372i
\(746\) 5.45988e13 + 9.01989e13i 0.00865206 + 0.0142935i
\(747\) −1.27696e15 1.27696e15i −0.200870 0.200870i
\(748\) −1.66823e15 5.33168e15i −0.260493 0.832540i
\(749\) −6.70916e15 + 6.70916e15i −1.03996 + 1.03996i
\(750\) 1.05124e15 4.27575e15i 0.161758 0.657924i
\(751\) −1.15370e16 −1.76227 −0.881133 0.472868i \(-0.843219\pi\)
−0.881133 + 0.472868i \(0.843219\pi\)
\(752\) 1.51215e15 + 2.17986e15i 0.229296 + 0.330544i
\(753\) −4.19194e15 −0.631020
\(754\) 1.28510e14 5.22693e14i 0.0192041 0.0781095i
\(755\) 4.01388e15 4.01388e15i 0.595464 0.595464i
\(756\) 1.20510e16 3.77062e15i 1.77481 0.555319i
\(757\) −6.27731e15 6.27731e15i −0.917796 0.917796i 0.0790730 0.996869i \(-0.474804\pi\)
−0.996869 + 0.0790730i \(0.974804\pi\)
\(758\) 3.04499e15 + 5.03041e15i 0.441982 + 0.730168i
\(759\) 2.74241e15i 0.395187i
\(760\) −3.13919e15 2.77132e15i −0.449100 0.396471i
\(761\) 1.00942e16i 1.43370i −0.697229 0.716848i \(-0.745584\pi\)