Properties

Label 8.18.b.a.5.4
Level $8$
Weight $18$
Character 8.5
Analytic conductor $14.658$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 8 = 2^{3} \)
Weight: \( k \) \(=\) \( 18 \)
Character orbit: \([\chi]\) \(=\) 8.b (of order \(2\), degree \(1\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(14.6577669876\)
Analytic rank: \(0\)
Dimension: \(16\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 7 x^{15} + 4022 x^{14} - 1102776 x^{13} - 373411968 x^{12} + 2100004864 x^{11} - 3763915816960 x^{10} + 7317489121656832 x^{9} - 1108241988138827776 x^{8} + 163121042717484777472 x^{7} + 5699397839986467274752 x^{6} + 1127435088957285706235904 x^{5} - 217909345031306501735579648 x^{4} - 78950720850572326734309359616 x^{3} + 13720647095471028734661620662272 x^{2} - 5242030267748791654842336509165568 x + 1286374137827816254118965326485913600\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{120}\cdot 3^{14}\cdot 7 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 5.4
Root \(-136.895 - 127.099i\) of defining polynomial
Character \(\chi\) \(=\) 8.5
Dual form 8.18.b.a.5.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-257.790 + 254.197i) q^{2} +4834.14i q^{3} +(1839.67 - 131059. i) q^{4} +524871. i q^{5} +(-1.22882e6 - 1.24619e6i) q^{6} +1.57495e7 q^{7} +(3.28406e7 + 3.42534e7i) q^{8} +1.05771e8 q^{9} +O(q^{10})\) \(q+(-257.790 + 254.197i) q^{2} +4834.14i q^{3} +(1839.67 - 131059. i) q^{4} +524871. i q^{5} +(-1.22882e6 - 1.24619e6i) q^{6} +1.57495e7 q^{7} +(3.28406e7 + 3.42534e7i) q^{8} +1.05771e8 q^{9} +(-1.33421e8 - 1.35307e8i) q^{10} -2.44791e8i q^{11} +(6.33558e8 + 8.89324e6i) q^{12} +2.66178e9i q^{13} +(-4.06007e9 + 4.00348e9i) q^{14} -2.53730e9 q^{15} +(-1.71731e10 - 4.82212e8i) q^{16} -2.82837e10 q^{17} +(-2.72668e10 + 2.68867e10i) q^{18} +7.79642e10i q^{19} +(6.87892e10 + 9.65592e8i) q^{20} +7.61353e10i q^{21} +(6.22252e10 + 6.31047e10i) q^{22} -3.66576e11 q^{23} +(-1.65586e11 + 1.58756e11i) q^{24} +4.87450e11 q^{25} +(-6.76615e11 - 6.86180e11i) q^{26} +1.13559e12i q^{27} +(2.89740e10 - 2.06412e12i) q^{28} -2.78648e11i q^{29} +(6.54092e11 - 6.44975e11i) q^{30} +3.68562e12 q^{31} +(4.54964e12 - 4.24104e12i) q^{32} +1.18335e12 q^{33} +(7.29127e12 - 7.18964e12i) q^{34} +8.26647e12i q^{35} +(1.94585e11 - 1.38623e13i) q^{36} +3.50209e13i q^{37} +(-1.98183e13 - 2.00984e13i) q^{38} -1.28674e13 q^{39} +(-1.79786e13 + 1.72371e13i) q^{40} -3.67533e13 q^{41} +(-1.93534e13 - 1.96270e13i) q^{42} +1.25028e14i q^{43} +(-3.20821e13 - 4.50335e11i) q^{44} +5.55163e13i q^{45} +(9.44998e13 - 9.31826e13i) q^{46} +1.02087e14 q^{47} +(2.33108e12 - 8.30172e13i) q^{48} +1.54166e13 q^{49} +(-1.25660e14 + 1.23908e14i) q^{50} -1.36727e14i q^{51} +(3.48850e14 + 4.89680e12i) q^{52} -4.67637e14i q^{53} +(-2.88665e14 - 2.92745e14i) q^{54} +1.28484e14 q^{55} +(5.17223e14 + 5.39474e14i) q^{56} -3.76890e14 q^{57} +(7.08315e13 + 7.18327e13i) q^{58} -4.08479e13i q^{59} +(-4.66780e12 + 3.32536e14i) q^{60} -2.55846e15i q^{61} +(-9.50117e14 + 9.36874e14i) q^{62} +1.66585e15 q^{63} +(-9.47911e13 + 2.24980e15i) q^{64} -1.39709e15 q^{65} +(-3.05057e14 + 3.00805e14i) q^{66} +2.46686e15i q^{67} +(-5.20328e13 + 3.70684e15i) q^{68} -1.77208e15i q^{69} +(-2.10131e15 - 2.13101e15i) q^{70} +1.09996e15 q^{71} +(3.47359e15 + 3.62303e15i) q^{72} -1.21919e16 q^{73} +(-8.90221e15 - 9.02805e15i) q^{74} +2.35640e15i q^{75} +(1.02179e16 + 1.43429e14i) q^{76} -3.85534e15i q^{77} +(3.31709e15 - 3.27085e15i) q^{78} +2.49946e16 q^{79} +(2.53099e14 - 9.01367e15i) q^{80} +8.16969e15 q^{81} +(9.47466e15 - 9.34259e15i) q^{82} +3.68875e16i q^{83} +(9.97823e15 + 1.40064e14i) q^{84} -1.48453e16i q^{85} +(-3.17818e16 - 3.22311e16i) q^{86} +1.34702e15 q^{87} +(8.38492e15 - 8.03908e15i) q^{88} -4.15487e16 q^{89} +(-1.41121e16 - 1.43116e16i) q^{90} +4.19217e16i q^{91} +(-6.74381e14 + 4.80432e16i) q^{92} +1.78168e16i q^{93} +(-2.63170e16 + 2.59501e16i) q^{94} -4.09212e16 q^{95} +(2.05018e16 + 2.19936e16i) q^{96} +7.13708e15 q^{97} +(-3.97426e15 + 3.91886e15i) q^{98} -2.58919e16i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 270q^{2} - 27436q^{4} + 5839948q^{6} + 11529600q^{7} + 24334920q^{8} - 602654096q^{9} + O(q^{10}) \) \( 16q + 270q^{2} - 27436q^{4} + 5839948q^{6} + 11529600q^{7} + 24334920q^{8} - 602654096q^{9} + 131002712q^{10} - 2795125400q^{12} + 16363788528q^{14} - 9993282176q^{15} + 26500434192q^{16} - 7489125600q^{17} - 113450563870q^{18} - 209445719856q^{20} + 223126527100q^{22} + 746845345920q^{23} - 1099415493232q^{24} - 1809682431664q^{25} + 2467726531080q^{26} + 3220542267040q^{28} - 1188624268048q^{30} - 318979758592q^{31} + 1455647316000q^{32} + 5633526177600q^{33} - 4461251980292q^{34} - 33088278002484q^{36} + 24076283913900q^{38} - 18457706051456q^{39} + 60626292962592q^{40} + 7482251536032q^{41} - 51630378688160q^{42} + 193654716236040q^{44} - 195097141003568q^{46} - 376698804821760q^{47} - 329350060416480q^{48} + 127691292101520q^{49} + 474997408872102q^{50} - 272251877663120q^{52} + 735354219382520q^{54} + 2209036687713152q^{55} - 162767516076480q^{56} - 190521298294720q^{57} - 623262610679960q^{58} - 1973616194963808q^{60} + 695695648144320q^{62} - 8131096607338880q^{63} + 1111931745501248q^{64} + 2385987975356160q^{65} + 3598826202828312q^{66} + 5981109959771880q^{68} - 10044559836180288q^{70} + 9025926285576576q^{71} - 19918679666289160q^{72} + 11332002046118560q^{73} + 11098735408189464q^{74} + 5959440926938280q^{76} + 4184252259031760q^{78} - 45299671392008448q^{79} + 1337342539452480q^{80} + 20101901999290832q^{81} + 15639739637081420q^{82} + 19796542864700224q^{84} - 14252032276026564q^{86} + 25965768920837760q^{87} - 66964872768837680q^{88} - 69879174608766048q^{89} + 136151511125051240q^{90} + 57336249810701280q^{92} - 192318922166254176q^{94} + 93790444358203776q^{95} - 342799224184788928q^{96} + 95593398602180640q^{97} + 339641261743253790q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/8\mathbb{Z}\right)^\times\).

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −257.790 + 254.197i −0.712052 + 0.702127i
\(3\) 4834.14i 0.425391i 0.977119 + 0.212696i \(0.0682243\pi\)
−0.977119 + 0.212696i \(0.931776\pi\)
\(4\) 1839.67 131059.i 0.0140356 0.999901i
\(5\) 524871.i 0.600908i 0.953796 + 0.300454i \(0.0971381\pi\)
−0.953796 + 0.300454i \(0.902862\pi\)
\(6\) −1.22882e6 1.24619e6i −0.298679 0.302901i
\(7\) 1.57495e7 1.03260 0.516302 0.856407i \(-0.327308\pi\)
0.516302 + 0.856407i \(0.327308\pi\)
\(8\) 3.28406e7 + 3.42534e7i 0.692064 + 0.721836i
\(9\) 1.05771e8 0.819042
\(10\) −1.33421e8 1.35307e8i −0.421913 0.427877i
\(11\) 2.44791e8i 0.344316i −0.985069 0.172158i \(-0.944926\pi\)
0.985069 0.172158i \(-0.0550740\pi\)
\(12\) 6.33558e8 + 8.89324e6i 0.425349 + 0.00597062i
\(13\) 2.66178e9i 0.905009i 0.891762 + 0.452504i \(0.149469\pi\)
−0.891762 + 0.452504i \(0.850531\pi\)
\(14\) −4.06007e9 + 4.00348e9i −0.735268 + 0.725019i
\(15\) −2.53730e9 −0.255621
\(16\) −1.71731e10 4.82212e8i −0.999606 0.0280684i
\(17\) −2.82837e10 −0.983379 −0.491689 0.870771i \(-0.663620\pi\)
−0.491689 + 0.870771i \(0.663620\pi\)
\(18\) −2.72668e10 + 2.68867e10i −0.583201 + 0.575072i
\(19\) 7.79642e10i 1.05315i 0.850129 + 0.526574i \(0.176524\pi\)
−0.850129 + 0.526574i \(0.823476\pi\)
\(20\) 6.87892e10 + 9.65592e8i 0.600849 + 0.00843410i
\(21\) 7.61353e10i 0.439261i
\(22\) 6.22252e10 + 6.31047e10i 0.241754 + 0.245171i
\(23\) −3.66576e11 −0.976063 −0.488031 0.872826i \(-0.662285\pi\)
−0.488031 + 0.872826i \(0.662285\pi\)
\(24\) −1.65586e11 + 1.58756e11i −0.307063 + 0.294398i
\(25\) 4.87450e11 0.638910
\(26\) −6.76615e11 6.86180e11i −0.635431 0.644413i
\(27\) 1.13559e12i 0.773805i
\(28\) 2.89740e10 2.06412e12i 0.0144932 1.03250i
\(29\) 2.78648e11i 0.103436i −0.998662 0.0517181i \(-0.983530\pi\)
0.998662 0.0517181i \(-0.0164697\pi\)
\(30\) 6.54092e11 6.44975e11i 0.182015 0.179478i
\(31\) 3.68562e12 0.776133 0.388067 0.921631i \(-0.373143\pi\)
0.388067 + 0.921631i \(0.373143\pi\)
\(32\) 4.54964e12 4.24104e12i 0.731479 0.681864i
\(33\) 1.18335e12 0.146469
\(34\) 7.29127e12 7.18964e12i 0.700216 0.690457i
\(35\) 8.26647e12i 0.620500i
\(36\) 1.94585e11 1.38623e13i 0.0114957 0.818962i
\(37\) 3.50209e13i 1.63913i 0.572989 + 0.819563i \(0.305784\pi\)
−0.572989 + 0.819563i \(0.694216\pi\)
\(38\) −1.98183e13 2.00984e13i −0.739444 0.749896i
\(39\) −1.28674e13 −0.384983
\(40\) −1.79786e13 + 1.72371e13i −0.433757 + 0.415866i
\(41\) −3.67533e13 −0.718843 −0.359422 0.933175i \(-0.617026\pi\)
−0.359422 + 0.933175i \(0.617026\pi\)
\(42\) −1.93534e13 1.96270e13i −0.308417 0.312776i
\(43\) 1.25028e14i 1.63127i 0.578565 + 0.815636i \(0.303613\pi\)
−0.578565 + 0.815636i \(0.696387\pi\)
\(44\) −3.20821e13 4.50335e11i −0.344282 0.00483268i
\(45\) 5.55163e13i 0.492169i
\(46\) 9.44998e13 9.31826e13i 0.695007 0.685320i
\(47\) 1.02087e14 0.625370 0.312685 0.949857i \(-0.398772\pi\)
0.312685 + 0.949857i \(0.398772\pi\)
\(48\) 2.33108e12 8.30172e13i 0.0119401 0.425224i
\(49\) 1.54166e13 0.0662709
\(50\) −1.25660e14 + 1.23908e14i −0.454937 + 0.448596i
\(51\) 1.36727e14i 0.418321i
\(52\) 3.48850e14 + 4.89680e12i 0.904920 + 0.0127023i
\(53\) 4.67637e14i 1.03173i −0.856671 0.515863i \(-0.827472\pi\)
0.856671 0.515863i \(-0.172528\pi\)
\(54\) −2.88665e14 2.92745e14i −0.543309 0.550989i
\(55\) 1.28484e14 0.206902
\(56\) 5.17223e14 + 5.39474e14i 0.714628 + 0.745371i
\(57\) −3.76890e14 −0.448000
\(58\) 7.08315e13 + 7.18327e13i 0.0726254 + 0.0736519i
\(59\) 4.08479e13i 0.0362183i −0.999836 0.0181092i \(-0.994235\pi\)
0.999836 0.0181092i \(-0.00576464\pi\)
\(60\) −4.66780e12 + 3.32536e14i −0.00358779 + 0.255596i
\(61\) 2.55846e15i 1.70874i −0.519669 0.854368i \(-0.673945\pi\)
0.519669 0.854368i \(-0.326055\pi\)
\(62\) −9.50117e14 + 9.36874e14i −0.552647 + 0.544944i
\(63\) 1.66585e15 0.845746
\(64\) −9.47911e13 + 2.24980e15i −0.0420957 + 0.999114i
\(65\) −1.39709e15 −0.543827
\(66\) −3.05057e14 + 3.00805e14i −0.104294 + 0.102840i
\(67\) 2.46686e15i 0.742179i 0.928597 + 0.371090i \(0.121016\pi\)
−0.928597 + 0.371090i \(0.878984\pi\)
\(68\) −5.20328e13 + 3.70684e15i −0.0138023 + 0.983282i
\(69\) 1.77208e15i 0.415209i
\(70\) −2.10131e15 2.13101e15i −0.435670 0.441828i
\(71\) 1.09996e15 0.202153 0.101077 0.994879i \(-0.467771\pi\)
0.101077 + 0.994879i \(0.467771\pi\)
\(72\) 3.47359e15 + 3.62303e15i 0.566829 + 0.591215i
\(73\) −1.21919e16 −1.76941 −0.884703 0.466154i \(-0.845639\pi\)
−0.884703 + 0.466154i \(0.845639\pi\)
\(74\) −8.90221e15 9.02805e15i −1.15087 1.16714i
\(75\) 2.35640e15i 0.271787i
\(76\) 1.02179e16 + 1.43429e14i 1.05304 + 0.0147816i
\(77\) 3.85534e15i 0.355542i
\(78\) 3.31709e15 3.27085e15i 0.274128 0.270307i
\(79\) 2.49946e16 1.85360 0.926801 0.375554i \(-0.122547\pi\)
0.926801 + 0.375554i \(0.122547\pi\)
\(80\) 2.53099e14 9.01367e15i 0.0168665 0.600671i
\(81\) 8.16969e15 0.489873
\(82\) 9.47466e15 9.34259e15i 0.511854 0.504719i
\(83\) 3.68875e16i 1.79769i 0.438262 + 0.898847i \(0.355594\pi\)
−0.438262 + 0.898847i \(0.644406\pi\)
\(84\) 9.97823e15 + 1.40064e14i 0.439217 + 0.00616528i
\(85\) 1.48453e16i 0.590920i
\(86\) −3.17818e16 3.22311e16i −1.14536 1.16155i
\(87\) 1.34702e15 0.0440009
\(88\) 8.38492e15 8.03908e15i 0.248540 0.238289i
\(89\) −4.15487e16 −1.11877 −0.559387 0.828907i \(-0.688963\pi\)
−0.559387 + 0.828907i \(0.688963\pi\)
\(90\) −1.41121e16 1.43116e16i −0.345565 0.350450i
\(91\) 4.19217e16i 0.934516i
\(92\) −6.74381e14 + 4.80432e16i −0.0136996 + 0.975967i
\(93\) 1.78168e16i 0.330160i
\(94\) −2.63170e16 + 2.59501e16i −0.445296 + 0.439089i
\(95\) −4.09212e16 −0.632845
\(96\) 2.05018e16 + 2.19936e16i 0.290059 + 0.311165i
\(97\) 7.13708e15 0.0924614 0.0462307 0.998931i \(-0.485279\pi\)
0.0462307 + 0.998931i \(0.485279\pi\)
\(98\) −3.97426e15 + 3.91886e15i −0.0471883 + 0.0465305i
\(99\) 2.58919e16i 0.282010i
\(100\) 8.96748e14 6.38847e16i 0.00896748 0.638847i
\(101\) 2.76571e16i 0.254141i −0.991894 0.127070i \(-0.959443\pi\)
0.991894 0.127070i \(-0.0405574\pi\)
\(102\) 3.47557e16 + 3.52470e16i 0.293714 + 0.297866i
\(103\) 1.40681e17 1.09426 0.547128 0.837049i \(-0.315721\pi\)
0.547128 + 0.837049i \(0.315721\pi\)
\(104\) −9.11748e16 + 8.74143e16i −0.653268 + 0.626324i
\(105\) −3.99613e16 −0.263955
\(106\) 1.18872e17 + 1.20552e17i 0.724402 + 0.734642i
\(107\) 2.87686e17i 1.61867i −0.587350 0.809333i \(-0.699829\pi\)
0.587350 0.809333i \(-0.300171\pi\)
\(108\) 1.48830e17 + 2.08912e15i 0.773728 + 0.0108608i
\(109\) 1.61873e17i 0.778127i −0.921211 0.389063i \(-0.872799\pi\)
0.921211 0.389063i \(-0.127201\pi\)
\(110\) −3.31219e16 + 3.26602e16i −0.147325 + 0.145272i
\(111\) −1.69296e17 −0.697270
\(112\) −2.70468e17 7.59460e15i −1.03220 0.0289836i
\(113\) 3.01267e17 1.06607 0.533033 0.846094i \(-0.321052\pi\)
0.533033 + 0.846094i \(0.321052\pi\)
\(114\) 9.71585e16 9.58043e16i 0.318999 0.314553i
\(115\) 1.92405e17i 0.586524i
\(116\) −3.65193e16 5.12621e14i −0.103426 0.00145179i
\(117\) 2.81539e17i 0.741241i
\(118\) 1.03834e16 + 1.05302e16i 0.0254298 + 0.0257893i
\(119\) −4.45455e17 −1.01544
\(120\) −8.33265e16 8.69112e16i −0.176906 0.184516i
\(121\) 4.45524e17 0.881446
\(122\) 6.50353e17 + 6.59546e17i 1.19975 + 1.21671i
\(123\) 1.77671e17i 0.305790i
\(124\) 6.78034e15 4.83034e17i 0.0108935 0.776057i
\(125\) 6.56293e17i 0.984834i
\(126\) −4.29439e17 + 4.23453e17i −0.602215 + 0.593821i
\(127\) −3.10547e17 −0.407189 −0.203595 0.979055i \(-0.565262\pi\)
−0.203595 + 0.979055i \(0.565262\pi\)
\(128\) −5.47457e17 6.04073e17i −0.671530 0.740977i
\(129\) −6.04404e17 −0.693929
\(130\) 3.60156e17 3.55136e17i 0.387233 0.381835i
\(131\) 1.23335e18i 1.24246i 0.783629 + 0.621229i \(0.213366\pi\)
−0.783629 + 0.621229i \(0.786634\pi\)
\(132\) 2.17698e15 1.55089e17i 0.00205578 0.146455i
\(133\) 1.22790e18i 1.08749i
\(134\) −6.27069e17 6.35933e17i −0.521104 0.528470i
\(135\) −5.96041e17 −0.464985
\(136\) −9.28854e17 9.68814e17i −0.680561 0.709838i
\(137\) 1.77025e18 1.21873 0.609367 0.792888i \(-0.291424\pi\)
0.609367 + 0.792888i \(0.291424\pi\)
\(138\) 4.50458e17 + 4.56825e17i 0.291529 + 0.295650i
\(139\) 1.75424e18i 1.06773i −0.845569 0.533866i \(-0.820739\pi\)
0.845569 0.533866i \(-0.179261\pi\)
\(140\) 1.08340e18 + 1.52076e16i 0.620439 + 0.00870908i
\(141\) 4.93501e17i 0.266027i
\(142\) −2.83559e17 + 2.79606e17i −0.143944 + 0.141937i
\(143\) 6.51579e17 0.311609
\(144\) −1.81642e18 5.10041e16i −0.818720 0.0229892i
\(145\) 1.46254e17 0.0621556
\(146\) 3.14296e18 3.09915e18i 1.25991 1.24235i
\(147\) 7.45261e16i 0.0281910i
\(148\) 4.58981e18 + 6.44270e16i 1.63897 + 0.0230061i
\(149\) 2.24173e18i 0.755962i −0.925813 0.377981i \(-0.876618\pi\)
0.925813 0.377981i \(-0.123382\pi\)
\(150\) −5.98990e17 6.07457e17i −0.190829 0.193526i
\(151\) 1.48795e18 0.448006 0.224003 0.974589i \(-0.428088\pi\)
0.224003 + 0.974589i \(0.428088\pi\)
\(152\) −2.67054e18 + 2.56039e18i −0.760201 + 0.728846i
\(153\) −2.99160e18 −0.805429
\(154\) 9.80016e17 + 9.93869e17i 0.249636 + 0.253165i
\(155\) 1.93448e18i 0.466384i
\(156\) −2.36718e16 + 1.68639e18i −0.00540346 + 0.384945i
\(157\) 5.36324e18i 1.15953i −0.814785 0.579763i \(-0.803145\pi\)
0.814785 0.579763i \(-0.196855\pi\)
\(158\) −6.44337e18 + 6.35356e18i −1.31986 + 1.30146i
\(159\) 2.26062e18 0.438887
\(160\) 2.22600e18 + 2.38797e18i 0.409737 + 0.439551i
\(161\) −5.77340e18 −1.00789
\(162\) −2.10607e18 + 2.07671e18i −0.348815 + 0.343953i
\(163\) 2.95894e18i 0.465095i −0.972585 0.232547i \(-0.925294\pi\)
0.972585 0.232547i \(-0.0747061\pi\)
\(164\) −6.76141e16 + 4.81686e18i −0.0100894 + 0.718772i
\(165\) 6.21108e17i 0.0880144i
\(166\) −9.37670e18 9.50925e18i −1.26221 1.28005i
\(167\) −1.14232e18 −0.146116 −0.0730579 0.997328i \(-0.523276\pi\)
−0.0730579 + 0.997328i \(0.523276\pi\)
\(168\) −2.60789e18 + 2.50033e18i −0.317074 + 0.303996i
\(169\) 1.56537e18 0.180959
\(170\) 3.77364e18 + 3.82698e18i 0.414901 + 0.420765i
\(171\) 8.24637e18i 0.862573i
\(172\) 1.63861e19 + 2.30011e17i 1.63111 + 0.0228959i
\(173\) 1.13255e19i 1.07316i −0.843849 0.536581i \(-0.819716\pi\)
0.843849 0.536581i \(-0.180284\pi\)
\(174\) −3.47249e17 + 3.42409e17i −0.0313309 + 0.0308942i
\(175\) 7.67709e18 0.659741
\(176\) −1.18041e17 + 4.20382e18i −0.00966442 + 0.344181i
\(177\) 1.97465e17 0.0154069
\(178\) 1.07108e19 1.05616e19i 0.796625 0.785521i
\(179\) 8.80447e18i 0.624385i 0.950019 + 0.312192i \(0.101063\pi\)
−0.950019 + 0.312192i \(0.898937\pi\)
\(180\) 7.27592e18 + 1.02132e17i 0.492120 + 0.00690788i
\(181\) 6.64994e18i 0.429092i −0.976714 0.214546i \(-0.931173\pi\)
0.976714 0.214546i \(-0.0688271\pi\)
\(182\) −1.06564e19 1.08070e19i −0.656149 0.665424i
\(183\) 1.23679e19 0.726881
\(184\) −1.20386e19 1.25565e19i −0.675498 0.704558i
\(185\) −1.83815e19 −0.984964
\(186\) −4.52898e18 4.59300e18i −0.231814 0.235091i
\(187\) 6.92360e18i 0.338593i
\(188\) 1.87806e17 1.33794e19i 0.00877744 0.625309i
\(189\) 1.78851e19i 0.799034i
\(190\) 1.05491e19 1.04020e19i 0.450618 0.444337i
\(191\) −1.48372e19 −0.606135 −0.303068 0.952969i \(-0.598011\pi\)
−0.303068 + 0.952969i \(0.598011\pi\)
\(192\) −1.08759e19 4.58234e17i −0.425014 0.0179071i
\(193\) 2.59123e19 0.968878 0.484439 0.874825i \(-0.339024\pi\)
0.484439 + 0.874825i \(0.339024\pi\)
\(194\) −1.83987e18 + 1.81422e18i −0.0658373 + 0.0649197i
\(195\) 6.75372e18i 0.231339i
\(196\) 2.83615e16 2.02049e18i 0.000930151 0.0662643i
\(197\) 5.49419e19i 1.72560i 0.505543 + 0.862801i \(0.331292\pi\)
−0.505543 + 0.862801i \(0.668708\pi\)
\(198\) 6.58163e18 + 6.67467e18i 0.198007 + 0.200805i
\(199\) 7.58694e18 0.218683 0.109342 0.994004i \(-0.465126\pi\)
0.109342 + 0.994004i \(0.465126\pi\)
\(200\) 1.60081e19 + 1.66968e19i 0.442166 + 0.461188i
\(201\) −1.19251e19 −0.315717
\(202\) 7.03035e18 + 7.12973e18i 0.178439 + 0.180962i
\(203\) 4.38857e18i 0.106809i
\(204\) −1.79194e19 2.51534e17i −0.418279 0.00587138i
\(205\) 1.92908e19i 0.431958i
\(206\) −3.62662e19 + 3.57607e19i −0.779167 + 0.768307i
\(207\) −3.87732e19 −0.799437
\(208\) 1.28354e18 4.57109e19i 0.0254022 0.904652i
\(209\) 1.90849e19 0.362616
\(210\) 1.03016e19 1.01580e19i 0.187950 0.185330i
\(211\) 2.70658e19i 0.474264i −0.971477 0.237132i \(-0.923793\pi\)
0.971477 0.237132i \(-0.0762074\pi\)
\(212\) −6.12881e19 8.60299e17i −1.03162 0.0144809i
\(213\) 5.31736e18i 0.0859942i
\(214\) 7.31290e19 + 7.41627e19i 1.13651 + 1.15257i
\(215\) −6.56238e19 −0.980244
\(216\) −3.88980e19 + 3.72936e19i −0.558560 + 0.535522i
\(217\) 5.80467e19 0.801438
\(218\) 4.11477e19 + 4.17294e19i 0.546344 + 0.554066i
\(219\) 5.89374e19i 0.752690i
\(220\) 2.36368e17 1.68390e19i 0.00290400 0.206882i
\(221\) 7.52849e19i 0.889966i
\(222\) 4.36428e19 4.30345e19i 0.496492 0.489572i
\(223\) −6.99062e18 −0.0765463 −0.0382732 0.999267i \(-0.512186\pi\)
−0.0382732 + 0.999267i \(0.512186\pi\)
\(224\) 7.16545e19 6.67944e19i 0.755328 0.704096i
\(225\) 5.15582e19 0.523294
\(226\) −7.76636e19 + 7.65811e19i −0.759094 + 0.748514i
\(227\) 1.78757e20i 1.68285i −0.540377 0.841423i \(-0.681719\pi\)
0.540377 0.841423i \(-0.318281\pi\)
\(228\) −6.93354e17 + 4.93948e19i −0.00628795 + 0.447956i
\(229\) 2.48507e19i 0.217139i 0.994089 + 0.108569i \(0.0346269\pi\)
−0.994089 + 0.108569i \(0.965373\pi\)
\(230\) 4.89089e19 + 4.96002e19i 0.411814 + 0.417635i
\(231\) 1.86372e19 0.151245
\(232\) 9.54463e18 9.15096e18i 0.0746640 0.0715844i
\(233\) 1.18068e20 0.890446 0.445223 0.895420i \(-0.353124\pi\)
0.445223 + 0.895420i \(0.353124\pi\)
\(234\) −7.15665e19 7.25781e19i −0.520445 0.527802i
\(235\) 5.35824e19i 0.375790i
\(236\) −5.35349e18 7.51469e16i −0.0362147 0.000508345i
\(237\) 1.20827e20i 0.788506i
\(238\) 1.14834e20 1.13233e20i 0.723046 0.712968i
\(239\) 1.23287e20 0.749092 0.374546 0.927208i \(-0.377799\pi\)
0.374546 + 0.927208i \(0.377799\pi\)
\(240\) 4.35733e19 + 1.22352e18i 0.255520 + 0.00717487i
\(241\) −2.67815e20 −1.51597 −0.757983 0.652275i \(-0.773815\pi\)
−0.757983 + 0.652275i \(0.773815\pi\)
\(242\) −1.14852e20 + 1.13251e20i −0.627635 + 0.618887i
\(243\) 1.86144e20i 0.982192i
\(244\) −3.35309e20 4.70673e18i −1.70857 0.0239831i
\(245\) 8.09174e18i 0.0398227i
\(246\) 4.51634e19 + 4.58018e19i 0.214703 + 0.217738i
\(247\) −2.07523e20 −0.953109
\(248\) 1.21038e20 + 1.26245e20i 0.537134 + 0.560241i
\(249\) −1.78319e20 −0.764723
\(250\) −1.66828e20 1.69186e20i −0.691478 0.701253i
\(251\) 1.11530e20i 0.446854i 0.974721 + 0.223427i \(0.0717244\pi\)
−0.974721 + 0.223427i \(0.928276\pi\)
\(252\) 3.06461e18 2.18324e20i 0.0118706 0.845663i
\(253\) 8.97346e19i 0.336074i
\(254\) 8.00561e19 7.89402e19i 0.289940 0.285898i
\(255\) 7.17643e19 0.251372
\(256\) 2.94683e20 + 1.65621e19i 0.998424 + 0.0561147i
\(257\) 2.70681e19 0.0887209 0.0443604 0.999016i \(-0.485875\pi\)
0.0443604 + 0.999016i \(0.485875\pi\)
\(258\) 1.55810e20 1.53638e20i 0.494113 0.487226i
\(259\) 5.51562e20i 1.69257i
\(260\) −2.57019e18 + 1.83101e20i −0.00763293 + 0.543773i
\(261\) 2.94729e19i 0.0847186i
\(262\) −3.13515e20 3.17946e20i −0.872363 0.884694i
\(263\) 5.28511e20 1.42374 0.711869 0.702312i \(-0.247849\pi\)
0.711869 + 0.702312i \(0.247849\pi\)
\(264\) 3.88620e19 + 4.05339e19i 0.101366 + 0.105727i
\(265\) 2.45449e20 0.619972
\(266\) −3.12128e20 3.16540e20i −0.763553 0.774346i
\(267\) 2.00852e20i 0.475916i
\(268\) 3.23305e20 + 4.53822e18i 0.742106 + 0.0104169i
\(269\) 7.69627e20i 1.71153i −0.517361 0.855767i \(-0.673085\pi\)
0.517361 0.855767i \(-0.326915\pi\)
\(270\) 1.53654e20 1.51512e20i 0.331094 0.326479i
\(271\) −1.28273e18 −0.00267853 −0.00133927 0.999999i \(-0.500426\pi\)
−0.00133927 + 0.999999i \(0.500426\pi\)
\(272\) 4.85719e20 + 1.36387e19i 0.982991 + 0.0276019i
\(273\) −2.02655e20 −0.397535
\(274\) −4.56352e20 + 4.49992e20i −0.867802 + 0.855706i
\(275\) 1.19323e20i 0.219987i
\(276\) −2.32247e20 3.26005e18i −0.415168 0.00582770i
\(277\) 7.28964e19i 0.126365i 0.998002 + 0.0631827i \(0.0201251\pi\)
−0.998002 + 0.0631827i \(0.979875\pi\)
\(278\) 4.45922e20 + 4.52225e20i 0.749684 + 0.760281i
\(279\) 3.89833e20 0.635686
\(280\) −2.83155e20 + 2.71476e20i −0.447899 + 0.429425i
\(281\) −7.35344e20 −1.12846 −0.564231 0.825617i \(-0.690827\pi\)
−0.564231 + 0.825617i \(0.690827\pi\)
\(282\) −1.25447e20 1.27220e20i −0.186785 0.189425i
\(283\) 2.65211e19i 0.0383184i 0.999816 + 0.0191592i \(0.00609894\pi\)
−0.999816 + 0.0191592i \(0.993901\pi\)
\(284\) 2.02357e18 1.44160e20i 0.00283734 0.202133i
\(285\) 1.97819e20i 0.269207i
\(286\) −1.67971e20 + 1.65629e20i −0.221882 + 0.218789i
\(287\) −5.78847e20 −0.742280
\(288\) 4.81221e20 4.48580e20i 0.599112 0.558476i
\(289\) −2.72714e19 −0.0329667
\(290\) −3.77029e19 + 3.71774e19i −0.0442580 + 0.0436411i
\(291\) 3.45016e19i 0.0393323i
\(292\) −2.24291e19 + 1.59786e21i −0.0248347 + 1.76923i
\(293\) 1.14055e21i 1.22671i −0.789809 0.613353i \(-0.789820\pi\)
0.789809 0.613353i \(-0.210180\pi\)
\(294\) −1.89443e19 1.92121e19i −0.0197937 0.0200735i
\(295\) 2.14399e19 0.0217639
\(296\) −1.19958e21 + 1.15011e21i −1.18318 + 1.13438i
\(297\) 2.77983e20 0.266434
\(298\) 5.69841e20 + 5.77896e20i 0.530781 + 0.538284i
\(299\) 9.75744e20i 0.883346i
\(300\) 3.08828e20 + 4.33500e18i 0.271760 + 0.00381469i
\(301\) 1.96914e21i 1.68446i
\(302\) −3.83578e20 + 3.78232e20i −0.319003 + 0.314557i
\(303\) 1.33698e20 0.108109
\(304\) 3.75952e19 1.33889e21i 0.0295602 1.05273i
\(305\) 1.34286e21 1.02679
\(306\) 7.71207e20 7.60457e20i 0.573507 0.565513i
\(307\) 4.88182e20i 0.353107i −0.984291 0.176553i \(-0.943505\pi\)
0.984291 0.176553i \(-0.0564948\pi\)
\(308\) −5.05277e20 7.09256e18i −0.355507 0.00499025i
\(309\) 6.80072e20i 0.465487i
\(310\) −4.91738e20 4.98689e20i −0.327461 0.332090i
\(311\) −1.56774e21 −1.01581 −0.507904 0.861414i \(-0.669580\pi\)
−0.507904 + 0.861414i \(0.669580\pi\)
\(312\) −4.22573e20 4.40752e20i −0.266433 0.277895i
\(313\) −6.34156e20 −0.389107 −0.194554 0.980892i \(-0.562326\pi\)
−0.194554 + 0.980892i \(0.562326\pi\)
\(314\) 1.36332e21 + 1.38259e21i 0.814135 + 0.825643i
\(315\) 8.74355e20i 0.508215i
\(316\) 4.59819e19 3.27577e21i 0.0260164 1.85342i
\(317\) 2.83832e20i 0.156335i −0.996940 0.0781677i \(-0.975093\pi\)
0.996940 0.0781677i \(-0.0249070\pi\)
\(318\) −5.82767e20 + 5.74644e20i −0.312510 + 0.308154i
\(319\) −6.82105e19 −0.0356148
\(320\) −1.18086e21 4.97531e19i −0.600375 0.0252956i
\(321\) 1.39072e21 0.688566
\(322\) 1.48833e21 1.46758e21i 0.717667 0.707664i
\(323\) 2.20512e21i 1.03564i
\(324\) 1.50296e19 1.07071e21i 0.00687565 0.489824i
\(325\) 1.29748e21i 0.578219i
\(326\) 7.52154e20 + 7.62786e20i 0.326556 + 0.331172i
\(327\) 7.82519e20 0.331008
\(328\) −1.20700e21 1.25893e21i −0.497485 0.518887i
\(329\) 1.60782e21 0.645760
\(330\) −1.57884e20 1.60116e20i −0.0617973 0.0626708i
\(331\) 2.11311e21i 0.806089i 0.915180 + 0.403045i \(0.132048\pi\)
−0.915180 + 0.403045i \(0.867952\pi\)
\(332\) 4.83445e21 + 6.78610e19i 1.79752 + 0.0252317i
\(333\) 3.70420e21i 1.34251i
\(334\) 2.94478e20 2.90374e20i 0.104042 0.102592i
\(335\) −1.29478e21 −0.445981
\(336\) 3.67134e19 1.30748e21i 0.0123294 0.439088i
\(337\) 4.08155e20 0.133651 0.0668253 0.997765i \(-0.478713\pi\)
0.0668253 + 0.997765i \(0.478713\pi\)
\(338\) −4.03537e20 + 3.97912e20i −0.128852 + 0.127056i
\(339\) 1.45636e21i 0.453495i
\(340\) −1.94561e21 2.73105e19i −0.590862 0.00829391i
\(341\) 9.02207e20i 0.267235i
\(342\) −2.09620e21 2.12583e21i −0.605636 0.614197i
\(343\) −3.42101e21 −0.964172
\(344\) −4.28265e21 + 4.10600e21i −1.17751 + 1.12894i
\(345\) 9.30115e20 0.249502
\(346\) 2.87891e21 + 2.91960e21i 0.753495 + 0.764146i
\(347\) 3.05313e21i 0.779732i −0.920872 0.389866i \(-0.872521\pi\)
0.920872 0.389866i \(-0.127479\pi\)
\(348\) 2.47808e18 1.76540e20i 0.000617578 0.0439965i
\(349\) 8.48728e20i 0.206420i −0.994660 0.103210i \(-0.967089\pi\)
0.994660 0.103210i \(-0.0329114\pi\)
\(350\) −1.97908e21 + 1.95149e21i −0.469770 + 0.463222i
\(351\) −3.02270e21 −0.700300
\(352\) −1.03817e21 1.11371e21i −0.234777 0.251860i
\(353\) −5.04249e21 −1.11317 −0.556583 0.830792i \(-0.687888\pi\)
−0.556583 + 0.830792i \(0.687888\pi\)
\(354\) −5.09045e19 + 5.01949e19i −0.0109705 + 0.0108176i
\(355\) 5.77337e20i 0.121475i
\(356\) −7.64360e19 + 5.44533e21i −0.0157026 + 1.11866i
\(357\) 2.15339e21i 0.431959i
\(358\) −2.23807e21 2.26971e21i −0.438397 0.444594i
\(359\) 9.63686e21 1.84346 0.921728 0.387837i \(-0.126778\pi\)
0.921728 + 0.387837i \(0.126778\pi\)
\(360\) −1.90162e21 + 1.82319e21i −0.355265 + 0.340612i
\(361\) −5.98028e20 −0.109121
\(362\) 1.69040e21 + 1.71429e21i 0.301277 + 0.305536i
\(363\) 2.15373e21i 0.374959i
\(364\) 5.49421e21 + 7.71222e19i 0.934424 + 0.0131165i
\(365\) 6.39919e21i 1.06325i
\(366\) −3.18834e21 + 3.14390e21i −0.517577 + 0.510363i
\(367\) 8.52037e21 1.35144 0.675720 0.737158i \(-0.263833\pi\)
0.675720 + 0.737158i \(0.263833\pi\)
\(368\) 6.29525e21 + 1.76767e20i 0.975678 + 0.0273965i
\(369\) −3.88745e21 −0.588763
\(370\) 4.73856e21 4.67251e21i 0.701345 0.691570i
\(371\) 7.36506e21i 1.06536i
\(372\) 2.33505e21 + 3.27771e19i 0.330128 + 0.00463399i
\(373\) 5.97419e21i 0.825569i −0.910829 0.412785i \(-0.864556\pi\)
0.910829 0.412785i \(-0.135444\pi\)
\(374\) −1.75996e21 1.78484e21i −0.237735 0.241096i
\(375\) −3.17261e21 −0.418940
\(376\) 3.35259e21 + 3.49682e21i 0.432796 + 0.451415i
\(377\) 7.41698e20 0.0936107
\(378\) −4.54633e21 4.61060e21i −0.561023 0.568953i
\(379\) 1.72231e21i 0.207816i −0.994587 0.103908i \(-0.966865\pi\)
0.994587 0.103908i \(-0.0331347\pi\)
\(380\) −7.52816e19 + 5.36309e21i −0.00888235 + 0.632783i
\(381\) 1.50123e21i 0.173215i
\(382\) 3.82490e21 3.77158e21i 0.431600 0.425584i
\(383\) −5.14304e21 −0.567584 −0.283792 0.958886i \(-0.591592\pi\)
−0.283792 + 0.958886i \(0.591592\pi\)
\(384\) 2.92017e21 2.64649e21i 0.315205 0.285663i
\(385\) 2.02356e21 0.213648
\(386\) −6.67995e21 + 6.58684e21i −0.689892 + 0.680275i
\(387\) 1.32244e22i 1.33608i
\(388\) 1.31299e19 9.35379e20i 0.00129775 0.0924523i
\(389\) 1.71218e21i 0.165569i −0.996567 0.0827843i \(-0.973619\pi\)
0.996567 0.0827843i \(-0.0263813\pi\)
\(390\) 1.71678e21 + 1.74104e21i 0.162429 + 0.164725i
\(391\) 1.03681e22 0.959839
\(392\) 5.06291e20 + 5.28072e20i 0.0458636 + 0.0478367i
\(393\) −5.96220e21 −0.528530
\(394\) −1.39661e22 1.41635e22i −1.21159 1.22872i
\(395\) 1.31190e22i 1.11384i
\(396\) −3.39336e21 4.76325e19i −0.281982 0.00395817i
\(397\) 5.61976e21i 0.457087i 0.973534 + 0.228543i \(0.0733962\pi\)
−0.973534 + 0.228543i \(0.926604\pi\)
\(398\) −1.95584e21 + 1.92858e21i −0.155714 + 0.153543i
\(399\) −5.93583e21 −0.462607
\(400\) −8.37102e21 2.35054e20i −0.638658 0.0179332i
\(401\) −1.00601e22 −0.751410 −0.375705 0.926739i \(-0.622599\pi\)
−0.375705 + 0.926739i \(0.622599\pi\)
\(402\) 3.07419e21 3.03134e21i 0.224807 0.221673i
\(403\) 9.81029e21i 0.702407i
\(404\) −3.62471e21 5.08800e19i −0.254116 0.00356702i
\(405\) 4.28804e21i 0.294368i
\(406\) 1.11556e21 + 1.13133e21i 0.0749932 + 0.0760533i
\(407\) 8.57280e21 0.564378
\(408\) 4.68338e21 4.49021e21i 0.301959 0.289504i
\(409\) 9.17274e21 0.579230 0.289615 0.957143i \(-0.406473\pi\)
0.289615 + 0.957143i \(0.406473\pi\)
\(410\) 4.90366e21 + 4.97297e21i 0.303290 + 0.307577i
\(411\) 8.55762e21i 0.518439i
\(412\) 2.58807e20 1.84375e22i 0.0153585 1.09415i
\(413\) 6.43335e20i 0.0373992i
\(414\) 9.99537e21 9.85605e21i 0.569240 0.561306i
\(415\) −1.93612e22 −1.08025
\(416\) 1.12887e22 + 1.21101e22i 0.617093 + 0.661995i
\(417\) 8.48023e21 0.454204
\(418\) −4.91991e21 + 4.85133e21i −0.258202 + 0.254603i
\(419\) 1.93790e22i 0.996581i −0.867010 0.498291i \(-0.833961\pi\)
0.867010 0.498291i \(-0.166039\pi\)
\(420\) −7.35156e19 + 5.23729e21i −0.00370477 + 0.263929i
\(421\) 3.52568e22i 1.74118i 0.492006 + 0.870592i \(0.336264\pi\)
−0.492006 + 0.870592i \(0.663736\pi\)
\(422\) 6.88005e21 + 6.97730e21i 0.332994 + 0.337701i
\(423\) 1.07978e22 0.512205
\(424\) 1.60182e22 1.53575e22i 0.744737 0.714019i
\(425\) −1.37869e22 −0.628290
\(426\) −1.35166e21 1.37076e21i −0.0603788 0.0612323i
\(427\) 4.02945e22i 1.76445i
\(428\) −3.77039e22 5.29249e20i −1.61851 0.0227189i
\(429\) 3.14982e21i 0.132556i
\(430\) 1.69172e22 1.66814e22i 0.697985 0.688256i
\(431\) −1.08535e22 −0.439048 −0.219524 0.975607i \(-0.570450\pi\)
−0.219524 + 0.975607i \(0.570450\pi\)
\(432\) 5.47597e20 1.95017e22i 0.0217195 0.773500i
\(433\) 3.41436e22 1.32789 0.663945 0.747781i \(-0.268881\pi\)
0.663945 + 0.747781i \(0.268881\pi\)
\(434\) −1.49639e22 + 1.47553e22i −0.570665 + 0.562711i
\(435\) 7.07013e20i 0.0264405i
\(436\) −2.12150e22 2.97794e20i −0.778050 0.0109215i
\(437\) 2.85798e22i 1.02794i
\(438\) 1.49817e22 + 1.51935e22i 0.528484 + 0.535954i
\(439\) −1.05534e22 −0.365126 −0.182563 0.983194i \(-0.558439\pi\)
−0.182563 + 0.983194i \(0.558439\pi\)
\(440\) 4.21948e21 + 4.40101e21i 0.143190 + 0.149350i
\(441\) 1.63064e21 0.0542786
\(442\) 1.91372e22 + 1.94077e22i 0.624869 + 0.633702i
\(443\) 2.27118e22i 0.727478i −0.931501 0.363739i \(-0.881500\pi\)
0.931501 0.363739i \(-0.118500\pi\)
\(444\) −3.11449e20 + 2.21878e22i −0.00978660 + 0.697201i
\(445\) 2.18077e22i 0.672280i
\(446\) 1.80211e21 1.77700e21i 0.0545050 0.0537453i
\(447\) 1.08368e22 0.321580
\(448\) −1.49291e21 + 3.54333e22i −0.0434682 + 1.03169i
\(449\) 2.63226e22 0.752029 0.376014 0.926614i \(-0.377294\pi\)
0.376014 + 0.926614i \(0.377294\pi\)
\(450\) −1.32912e22 + 1.31059e22i −0.372613 + 0.367419i
\(451\) 8.99689e21i 0.247509i
\(452\) 5.54232e20 3.94837e22i 0.0149629 1.06596i
\(453\) 7.19294e21i 0.190578i
\(454\) 4.54396e22 + 4.60819e22i 1.18157 + 1.19827i
\(455\) −2.20035e22 −0.561558
\(456\) −1.23773e22 1.29098e22i −0.310045 0.323383i
\(457\) −7.36512e21 −0.181089 −0.0905445 0.995892i \(-0.528861\pi\)
−0.0905445 + 0.995892i \(0.528861\pi\)
\(458\) −6.31697e21 6.40627e21i −0.152459 0.154614i
\(459\) 3.21188e22i 0.760943i
\(460\) −2.52165e22 3.53963e20i −0.586466 0.00823221i
\(461\) 3.04360e22i 0.694912i 0.937696 + 0.347456i \(0.112954\pi\)
−0.937696 + 0.347456i \(0.887046\pi\)
\(462\) −4.80450e21 + 4.73753e21i −0.107694 + 0.106193i
\(463\) −6.61609e22 −1.45600 −0.728002 0.685575i \(-0.759551\pi\)
−0.728002 + 0.685575i \(0.759551\pi\)
\(464\) −1.34367e20 + 4.78525e21i −0.00290329 + 0.103395i
\(465\) −9.35153e21 −0.198396
\(466\) −3.04368e22 + 3.00126e22i −0.634044 + 0.625206i
\(467\) 6.69796e21i 0.137009i 0.997651 + 0.0685045i \(0.0218228\pi\)
−0.997651 + 0.0685045i \(0.978177\pi\)
\(468\) 3.68983e22 + 5.17940e20i 0.741168 + 0.0104038i
\(469\) 3.88519e22i 0.766377i
\(470\) −1.36205e22 1.38130e22i −0.263852 0.267582i
\(471\) 2.59267e22 0.493252
\(472\) 1.39918e21 1.34147e21i 0.0261437 0.0250654i
\(473\) 3.06058e22 0.561674
\(474\) −3.07140e22 3.11482e22i −0.553631 0.561457i
\(475\) 3.80036e22i 0.672867i
\(476\) −8.19491e20 + 5.83809e22i −0.0142523 + 1.01534i
\(477\) 4.94626e22i 0.845027i
\(478\) −3.17822e22 + 3.13392e22i −0.533392 + 0.525958i
\(479\) 6.94574e20 0.0114516 0.00572581 0.999984i \(-0.498177\pi\)
0.00572581 + 0.999984i \(0.498177\pi\)
\(480\) −1.15438e22 + 1.07608e22i −0.186981 + 0.174299i
\(481\) −9.32177e22 −1.48342
\(482\) 6.90400e22 6.80777e22i 1.07945 1.06440i
\(483\) 2.79094e22i 0.428746i
\(484\) 8.19619e20 5.83900e22i 0.0123716 0.881359i
\(485\) 3.74605e21i 0.0555608i
\(486\) −4.73173e22 4.79862e22i −0.689624 0.699372i
\(487\) 9.69164e22 1.38804 0.694019 0.719957i \(-0.255838\pi\)
0.694019 + 0.719957i \(0.255838\pi\)
\(488\) 8.76359e22 8.40213e22i 1.23343 1.18255i
\(489\) 1.43039e22 0.197847
\(490\) −2.05690e21 2.08597e21i −0.0279606 0.0283558i
\(491\) 1.39521e23i 1.86400i 0.362455 + 0.932001i \(0.381939\pi\)
−0.362455 + 0.932001i \(0.618061\pi\)
\(492\) −2.32854e22 3.26856e20i −0.305759 0.00429194i
\(493\) 7.88120e21i 0.101717i
\(494\) 5.34974e22 5.27518e22i 0.678663 0.669203i
\(495\) 1.35899e22 0.169462
\(496\) −6.32935e22 1.77725e21i −0.775827 0.0217848i
\(497\) 1.73238e22 0.208744
\(498\) 4.59690e22 4.53283e22i 0.544523 0.536933i
\(499\) 8.18187e21i 0.0952792i −0.998865 0.0476396i \(-0.984830\pi\)
0.998865 0.0476396i \(-0.0151699\pi\)
\(500\) 8.60132e22 + 1.20737e21i 0.984737 + 0.0138227i
\(501\) 5.52212e21i 0.0621563i
\(502\) −2.83506e22 2.87514e22i −0.313748 0.318183i
\(503\) 1.78323e23 1.94034 0.970172 0.242419i \(-0.0779408\pi\)
0.970172 + 0.242419i \(0.0779408\pi\)
\(504\) 5.47074e22 + 5.70609e22i 0.585310 + 0.610491i
\(505\) 1.45164e22 0.152715
\(506\) −2.28103e22 2.31327e22i −0.235967 0.239302i
\(507\) 7.56721e21i 0.0769783i
\(508\) −5.71306e20 + 4.07001e22i −0.00571514 + 0.407149i
\(509\) 5.61580e22i 0.552473i −0.961090 0.276236i \(-0.910913\pi\)
0.961090 0.276236i \(-0.0890872\pi\)
\(510\) −1.85001e22 + 1.82423e22i −0.178990 + 0.176495i
\(511\) −1.92017e23 −1.82710
\(512\) −8.01764e22 + 7.06380e22i −0.750330 + 0.661064i
\(513\) −8.85357e22 −0.814931
\(514\) −6.97789e21 + 6.88062e21i −0.0631738 + 0.0622933i
\(515\) 7.38394e22i 0.657547i
\(516\) −1.11191e21 + 7.92127e22i −0.00973971 + 0.693861i
\(517\) 2.49899e22i 0.215325i
\(518\) −1.40205e23 1.42187e23i −1.18840 1.20520i
\(519\) 5.47490e22 0.456513
\(520\) −4.58812e22 4.78551e22i −0.376363 0.392554i
\(521\) −1.17899e23 −0.951458 −0.475729 0.879592i \(-0.657816\pi\)
−0.475729 + 0.879592i \(0.657816\pi\)
\(522\) 7.49193e21 + 7.59783e21i 0.0594832 + 0.0603241i
\(523\) 1.02181e21i 0.00798187i −0.999992 0.00399093i \(-0.998730\pi\)
0.999992 0.00399093i \(-0.00127036\pi\)
\(524\) 1.61642e23 + 2.26897e21i 1.24233 + 0.0174386i
\(525\) 3.71121e22i 0.280648i
\(526\) −1.36245e23 + 1.34346e23i −1.01378 + 0.999645i
\(527\) −1.04243e23 −0.763233
\(528\) −2.03219e22 5.70627e20i −0.146411 0.00411116i
\(529\) −6.67183e21 −0.0473011
\(530\) −6.32744e22 + 6.23925e22i −0.441452 + 0.435299i
\(531\) 4.32054e21i 0.0296643i
\(532\) 1.60927e23 + 2.25893e21i 1.08738 + 0.0152635i
\(533\) 9.78291e22i 0.650559i
\(534\) 5.10560e22 + 5.17777e22i 0.334154 + 0.338877i
\(535\) 1.50998e23 0.972669
\(536\) −8.44984e22 + 8.10132e22i −0.535732 + 0.513635i
\(537\) −4.25620e22 −0.265608
\(538\) 1.95637e23 + 1.98402e23i 1.20171 + 1.21870i
\(539\) 3.77385e21i 0.0228181i
\(540\) −1.09652e21 + 7.81166e22i −0.00652634 + 0.464939i
\(541\) 3.93089e22i 0.230311i −0.993347 0.115155i \(-0.963263\pi\)
0.993347 0.115155i \(-0.0367366\pi\)
\(542\) 3.30676e20 3.26067e20i 0.00190726 0.00188067i
\(543\) 3.21468e22 0.182532
\(544\) −1.28681e23 + 1.19952e23i −0.719321 + 0.670531i
\(545\) 8.49627e22 0.467582
\(546\) 5.22425e22 5.15144e22i 0.283065 0.279120i
\(547\) 2.63090e23i 1.40350i −0.712423 0.701750i \(-0.752402\pi\)
0.712423 0.701750i \(-0.247598\pi\)
\(548\) 3.25668e21 2.32007e23i 0.0171057 1.21861i
\(549\) 2.70611e23i 1.39953i
\(550\) 3.03316e22 + 3.07604e22i 0.154459 + 0.156642i
\(551\) 2.17245e22 0.108934
\(552\) 6.06998e22 5.81962e22i 0.299713 0.287351i
\(553\) 3.93653e23 1.91404
\(554\) −1.85300e22 1.87920e22i −0.0887245 0.0899786i
\(555\) 8.88585e22i 0.418995i
\(556\) −2.29909e23 3.22722e21i −1.06763 0.0149863i
\(557\) 2.45492e23i 1.12271i 0.827574 + 0.561357i \(0.189720\pi\)
−0.827574 + 0.561357i \(0.810280\pi\)
\(558\) −1.00495e23 + 9.90944e22i −0.452641 + 0.446332i
\(559\) −3.32797e23 −1.47632
\(560\) 3.98619e21 1.41961e23i 0.0174164 0.620255i
\(561\) −3.34697e22 −0.144035
\(562\) 1.89565e23 1.86922e23i 0.803523 0.792323i
\(563\) 1.65751e23i 0.692044i 0.938226 + 0.346022i \(0.112468\pi\)
−0.938226 + 0.346022i \(0.887532\pi\)
\(564\) 6.46778e22 + 9.07881e20i 0.266001 + 0.00373385i
\(565\) 1.58126e23i 0.640607i
\(566\) −6.74160e21 6.83689e21i −0.0269044 0.0272847i
\(567\) 1.28669e23 0.505844
\(568\) 3.61233e22 + 3.76773e22i 0.139903 + 0.145922i
\(569\) −3.03432e23 −1.15773 −0.578866 0.815423i \(-0.696504\pi\)
−0.578866 + 0.815423i \(0.696504\pi\)
\(570\) 5.02849e22 + 5.09957e22i 0.189017 + 0.191689i
\(571\) 4.28152e23i 1.58559i −0.609489 0.792795i \(-0.708625\pi\)
0.609489 0.792795i \(-0.291375\pi\)
\(572\) 1.19869e21 8.53953e22i 0.00437362 0.311579i
\(573\) 7.17253e22i 0.257845i
\(574\) 1.49221e23 1.47141e23i 0.528542 0.521175i
\(575\) −1.78687e23 −0.623616
\(576\) −1.00262e22 + 2.37965e23i −0.0344782 + 0.818316i
\(577\) 4.78622e23 1.62180 0.810902 0.585182i \(-0.198977\pi\)
0.810902 + 0.585182i \(0.198977\pi\)
\(578\) 7.03029e21 6.93230e21i 0.0234740 0.0231468i
\(579\) 1.25264e23i 0.412152i
\(580\) 2.69060e20 1.91679e22i 0.000872391 0.0621495i
\(581\) 5.80961e23i 1.85631i
\(582\) −8.77021e21 8.89418e21i −0.0276163 0.0280066i
\(583\) −1.14473e23 −0.355240
\(584\) −4.00390e23 4.17615e23i −1.22454 1.27722i
\(585\) −1.47772e23 −0.445417
\(586\) 2.89925e23 + 2.94023e23i 0.861303 + 0.873478i
\(587\) 3.65842e23i 1.07120i 0.844472 + 0.535599i \(0.179914\pi\)
−0.844472 + 0.535599i \(0.820086\pi\)
\(588\) 9.76732e21 + 1.37104e20i 0.0281883 + 0.000395678i
\(589\) 2.87346e23i 0.817383i
\(590\) −5.52700e21 + 5.44996e21i −0.0154970 + 0.0152810i
\(591\) −2.65597e23 −0.734056
\(592\) 1.68875e22 6.01417e23i 0.0460077 1.63848i
\(593\) −6.50994e22 −0.174828 −0.0874142 0.996172i \(-0.527860\pi\)
−0.0874142 + 0.996172i \(0.527860\pi\)
\(594\) −7.16614e22 + 7.06626e22i −0.189715 + 0.187070i
\(595\) 2.33806e23i 0.610186i
\(596\) −2.93799e23 4.12405e21i −0.755888 0.0106104i
\(597\) 3.66763e22i 0.0930259i
\(598\) 2.48031e23 + 2.51537e23i 0.620221 + 0.628988i
\(599\) 7.03579e23 1.73454 0.867271 0.497837i \(-0.165872\pi\)
0.867271 + 0.497837i \(0.165872\pi\)
\(600\) −8.07147e22 + 7.73855e22i −0.196186 + 0.188094i
\(601\) 1.22977e23 0.294707 0.147354 0.989084i \(-0.452924\pi\)
0.147354 + 0.989084i \(0.452924\pi\)
\(602\) −5.00548e23 5.07624e23i −1.18270 1.19942i
\(603\) 2.60923e23i 0.607876i
\(604\) 2.73734e21 1.95009e23i 0.00628802 0.447961i
\(605\) 2.33843e23i 0.529668i
\(606\) −3.44661e22 + 3.39857e22i −0.0769794 + 0.0759065i
\(607\) −5.67018e23 −1.24880 −0.624400 0.781105i \(-0.714657\pi\)
−0.624400 + 0.781105i \(0.714657\pi\)
\(608\) 3.30649e23 + 3.54709e23i 0.718104 + 0.770356i
\(609\) 2.12149e22 0.0454355
\(610\) −3.46177e23 + 3.41351e23i −0.731129 + 0.720938i
\(611\) 2.71732e23i 0.565966i
\(612\) −5.50358e21 + 3.92077e23i −0.0113047 + 0.805349i
\(613\) 3.36503e23i 0.681672i −0.940123 0.340836i \(-0.889290\pi\)
0.940123 0.340836i \(-0.110710\pi\)
\(614\) 1.24094e23 + 1.25849e23i 0.247926 + 0.251430i
\(615\) 9.32543e22 0.183751
\(616\) 1.32058e23 1.26612e23i 0.256643 0.246058i
\(617\) −2.04462e22 −0.0391912 −0.0195956 0.999808i \(-0.506238\pi\)
−0.0195956 + 0.999808i \(0.506238\pi\)
\(618\) −1.72872e23 1.75316e23i −0.326831 0.331451i
\(619\) 5.34254e23i 0.996270i −0.867099 0.498135i \(-0.834018\pi\)
0.867099 0.498135i \(-0.165982\pi\)
\(620\) 2.53531e23 + 3.55880e21i 0.466338 + 0.00654598i
\(621\) 4.16282e23i 0.755282i
\(622\) 4.04149e23 3.98516e23i 0.723308 0.713226i
\(623\) −6.54371e23 −1.15525
\(624\) 2.20973e23 + 6.20481e21i 0.384831 + 0.0108059i
\(625\) 2.74250e22 0.0471158
\(626\) 1.63479e23 1.61201e23i 0.277064 0.273203i
\(627\) 9.22592e22i 0.154254i
\(628\) −7.02902e23 9.86662e21i −1.15941 0.0162746i
\(629\) 9.90521e23i 1.61188i
\(630\) −2.22258e23 2.25400e23i −0.356832 0.361876i
\(631\) 9.89627e23 1.56755 0.783776 0.621043i \(-0.213291\pi\)
0.783776 + 0.621043i \(0.213291\pi\)
\(632\) 8.20838e23 + 8.56151e23i 1.28281 + 1.33800i
\(633\) 1.30840e23 0.201748
\(634\) 7.21492e22 + 7.31691e22i 0.109767 + 0.111319i
\(635\) 1.62997e23i 0.244683i
\(636\) 4.15881e21 2.96275e23i 0.00616004 0.438844i
\(637\) 4.10356e22i 0.0599757i
\(638\) 1.75840e22 1.73389e22i 0.0253596 0.0250061i
\(639\) 1.16344e23 0.165572
\(640\) 3.17061e23 2.87345e23i 0.445259 0.403528i
\(641\) −4.56767e23 −0.632997 −0.316498 0.948593i \(-0.602507\pi\)
−0.316498 + 0.948593i \(0.602507\pi\)
\(642\) −3.58513e23 + 3.53516e23i −0.490295 + 0.483461i
\(643\) 1.63786e23i 0.221046i −0.993874 0.110523i \(-0.964747\pi\)
0.993874 0.110523i \(-0.0352526\pi\)
\(644\) −1.06212e22 + 7.56656e23i −0.0141463 + 1.00779i
\(645\) 3.17235e23i 0.416987i
\(646\) 5.60534e23 + 5.68458e23i 0.727153 + 0.737432i
\(647\) 1.41349e24 1.80969 0.904846 0.425738i \(-0.139986\pi\)
0.904846 + 0.425738i \(0.139986\pi\)
\(648\) 2.68298e23 + 2.79840e23i 0.339023 + 0.353608i
\(649\) −9.99921e21 −0.0124706
\(650\) −3.29816e23 3.34478e23i −0.405983 0.411722i
\(651\) 2.80606e23i 0.340925i
\(652\) −3.87796e23 5.44348e21i −0.465049 0.00652788i
\(653\) 8.79618e23i 1.04119i −0.853802 0.520597i \(-0.825709\pi\)
0.853802 0.520597i \(-0.174291\pi\)
\(654\) −2.01726e23 + 1.98914e23i −0.235695 + 0.232410i
\(655\) −6.47352e23 −0.746602
\(656\) 6.31169e23 + 1.77229e22i 0.718560 + 0.0201768i
\(657\) −1.28955e24 −1.44922
\(658\) −4.14479e23 + 4.08702e23i −0.459814 + 0.453405i
\(659\) 4.40891e23i 0.482843i 0.970420 + 0.241421i \(0.0776136\pi\)
−0.970420 + 0.241421i \(0.922386\pi\)
\(660\) 8.14019e22 + 1.14264e21i 0.0880058 + 0.00123533i
\(661\) 7.35760e23i 0.785278i 0.919693 + 0.392639i \(0.128438\pi\)
−0.919693 + 0.392639i \(0.871562\pi\)
\(662\) −5.37145e23 5.44738e23i −0.565977 0.573977i
\(663\) 3.63938e23 0.378584
\(664\) −1.26352e24 + 1.21141e24i −1.29764 + 1.24412i
\(665\) −6.44488e23 −0.653478
\(666\) −9.41598e23 9.54908e23i −0.942615 0.955940i
\(667\) 1.02146e23i 0.100960i
\(668\) −2.10149e21 + 1.49711e23i −0.00205082 + 0.146101i
\(669\) 3.37936e22i 0.0325621i
\(670\) 3.33783e23 3.29130e23i 0.317562 0.313135i
\(671\) −6.26288e23 −0.588346
\(672\) 3.22893e23 + 3.46388e23i 0.299516 + 0.321310i
\(673\) −3.52911e23 −0.323249 −0.161625 0.986852i \(-0.551673\pi\)
−0.161625 + 0.986852i \(0.551673\pi\)
\(674\) −1.05218e23 + 1.03752e23i −0.0951662 + 0.0938397i
\(675\) 5.53545e23i 0.494391i
\(676\) 2.87977e21 2.05156e23i 0.00253986 0.180941i
\(677\) 7.93301e23i 0.690930i 0.938432 + 0.345465i \(0.112279\pi\)
−0.938432 + 0.345465i \(0.887721\pi\)
\(678\) −3.70204e23 3.75437e23i −0.318411 0.322912i
\(679\) 1.12405e23 0.0954760
\(680\) 5.08502e23 4.87529e23i 0.426547 0.408954i
\(681\) 8.64138e23 0.715868
\(682\) 2.29338e23 + 2.32580e23i 0.187633 + 0.190285i
\(683\) 8.06966e23i 0.652048i 0.945362 + 0.326024i \(0.105709\pi\)
−0.945362 + 0.326024i \(0.894291\pi\)
\(684\) 1.08076e24 + 1.51706e22i 0.862488 + 0.0121067i
\(685\) 9.29152e23i 0.732347i
\(686\) 8.81904e23 8.69612e23i 0.686541 0.676971i
\(687\) −1.20132e23 −0.0923688
\(688\) 6.02901e22 2.14712e24i 0.0457872 1.63063i
\(689\) 1.24474e24 0.933720
\(690\) −2.39774e23 + 2.36432e23i −0.177658 + 0.175182i
\(691\) 3.75773e23i 0.275019i −0.990500 0.137509i \(-0.956090\pi\)
0.990500 0.137509i \(-0.0439097\pi\)
\(692\) −1.48431e24 2.08352e22i −1.07306 0.0150625i
\(693\) 4.07784e23i 0.291204i
\(694\) 7.76098e23 + 7.87068e23i 0.547471 + 0.555210i
\(695\) 9.20749e23 0.641609
\(696\) 4.42370e22 + 4.61401e22i 0.0304514 + 0.0317614i
\(697\) 1.03952e24 0.706895
\(698\) 2.15744e23 + 2.18794e23i 0.144933 + 0.146982i
\(699\) 5.70758e23i 0.378788i
\(700\) 1.41233e22 1.00615e24i 0.00925985 0.659676i
\(701\) 1.69069e24i 1.09512i −0.836767 0.547559i \(-0.815557\pi\)
0.836767 0.547559i \(-0.184443\pi\)
\(702\) 7.79222e23 7.68361e23i 0.498650 0.491700i
\(703\) −2.73038e24 −1.72624
\(704\) 5.50732e23 + 2.32040e22i 0.344011 + 0.0144942i
\(705\) −2.59025e23 −0.159858
\(706\) 1.29990e24 1.28179e24i 0.792632 0.781584i
\(707\) 4.35585e23i 0.262427i
\(708\) 3.63270e20 2.58795e22i 0.000216246 0.0154054i
\(709\) 1.96311e24i 1.15466i 0.816512 + 0.577328i \(0.195905\pi\)
−0.816512 + 0.577328i \(0.804095\pi\)
\(710\) −1.46757e23 1.48832e23i −0.0852911 0.0864968i
\(711\) 2.64371e24 1.51818
\(712\) −1.36448e24 1.42318e24i −0.774263 0.807571i
\(713\) −1.35106e24 −0.757555
\(714\) 5.47386e23 + 5.55123e23i 0.303290 + 0.307578i
\(715\) 3.41995e23i 0.187248i
\(716\) 1.15391e24 + 1.61973e22i 0.624323 + 0.00876361i
\(717\) 5.95987e23i 0.318657i
\(718\) −2.48429e24 + 2.44966e24i −1.31264 + 1.29434i
\(719\) −7.24919e23 −0.378525 −0.189262 0.981927i \(-0.560610\pi\)
−0.189262 + 0.981927i \(0.560610\pi\)
\(720\) 2.67706e22 9.53387e23i 0.0138144 0.491975i
\(721\) 2.21566e24 1.12993
\(722\) 1.54166e23 1.52017e23i 0.0777001 0.0766171i
\(723\) 1.29465e24i 0.644878i
\(724\) −8.71536e23 1.22337e22i −0.429049 0.00602256i
\(725\) 1.35827e23i 0.0660864i
\(726\) −5.47471e23 5.55210e23i −0.263269 0.266991i
\(727\) −3.57325e24 −1.69832 −0.849162 0.528132i \(-0.822893\pi\)
−0.849162 + 0.528132i \(0.822893\pi\)
\(728\) −1.43596e24 + 1.37673e24i −0.674568 + 0.646744i
\(729\) 1.55188e23 0.0720567
\(730\) 1.62665e24 + 1.64965e24i 0.746537 + 0.757089i
\(731\) 3.53627e24i 1.60416i
\(732\) 2.27530e22 1.62093e24i 0.0102022 0.726809i
\(733\) 3.87913e24i 1.71930i 0.510887 + 0.859648i \(0.329317\pi\)
−0.510887 + 0.859648i \(0.670683\pi\)
\(734\) −2.19647e24 + 2.16585e24i −0.962296 + 0.948883i
\(735\) −3.91166e22 −0.0169402
\(736\) −1.66779e24 + 1.55467e24i −0.713969 + 0.665542i
\(737\) 6.03865e23 0.255544
\(738\) 1.00215e24 9.88178e23i 0.419230 0.413386i
\(739\) 3.80051e24i 1.57168i −0.618430 0.785840i \(-0.712231\pi\)
0.618430 0.785840i \(-0.287769\pi\)
\(740\) −3.38159e22 + 2.40906e24i −0.0138246 + 0.984867i
\(741\) 1.00320e24i 0.405444i
\(742\) 1.87218e24 + 1.89864e24i 0.748020 + 0.758594i
\(743\) 9.34750e23 0.369224 0.184612 0.982811i \(-0.440897\pi\)
0.184612 + 0.982811i \(0.440897\pi\)
\(744\) −6.10286e23 + 5.85114e23i −0.238322 + 0.228492i
\(745\) 1.17662e24 0.454264
\(746\) 1.51862e24 + 1.54009e24i 0.579655 + 0.587848i
\(747\) 3.90164e24i 1.47239i
\(748\) 9.07401e23 + 1.27372e22i 0.338560 + 0.00475236i
\(749\) 4.53092e24i 1.67144i
\(750\) 8.17869e23 8.06469e23i 0.298307 0.294149i
\(751\) −1.14251e24 −0.412024 −0.206012 0.978549i \(-0.566049\pi\)
−0.206012 + 0.978549i \(0.566049\pi\)
\(752\) −1.75314e24 4.92274e22i −0.625124 0.0175532i
\(753\) −5.39152e23 −0.190088
\(754\) −1.91202e23 + 1.88537e23i −0.0666557 + 0.0657266i
\(755\) 7.80981e23i 0.269210i
\(756\) 2.34400e24 + 3.29027e22i 0.798955 + 0.0112149i
\(757\) 4.16361e24i 1.40331i 0.712515 + 0.701657i \(0.247556\pi\)
−0.712515 + 0.701657i \(0.752444\pi\)
\(758\) 4.37807e23 + 4.43995e23i 0.145913 + 0.147976i
\(759\) −4.33790e23 −0.142963
\(760\) −1.34388e24 1.40169e24i −0.437969 0.456811i
\(761\) −2.67038e24 −0.860606 −0.430303 0.902685i \(-0.641593\pi\)
−0.430303 + 0.902685i \(0.641593\pi\)
\(762\) 3.81608e23 + 3.87002e23i 0.121619 + 0.123338i
\(763\) 2.54943e24i 0.803496i
\(764\) −2.72957e22 + 1.94455e24i −0.00850746 + 0.606075i
\(765\) 1.57021e24i 0.483988i
\(766\) 1.32582e24 1.30734e24i 0.404149 0.398516i
\(767\) 1.08728e23 0.0327779
\(768\) −8.00637e22