Properties

Label 8.18.b.a.5.16
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 5.16
Root \(167.908 - 42.7144i\) of defining polynomial
Character \(\chi\) \(=\) 8.5
Dual form 8.18.b.a.5.15

$q$-expansion

\(f(q)\) \(=\) \(q+(351.815 + 85.4288i) q^{2} +21682.7i q^{3} +(116476. + 60110.3i) q^{4} +465248. i q^{5} +(-1.85232e6 + 7.62829e6i) q^{6} +2.24795e7 q^{7} +(3.58428e7 + 3.10981e7i) q^{8} -3.40998e8 q^{9} +O(q^{10})\) \(q+(351.815 + 85.4288i) q^{2} +21682.7i q^{3} +(116476. + 60110.3i) q^{4} +465248. i q^{5} +(-1.85232e6 + 7.62829e6i) q^{6} +2.24795e7 q^{7} +(3.58428e7 + 3.10981e7i) q^{8} -3.40998e8 q^{9} +(-3.97456e7 + 1.63681e8i) q^{10} -6.06148e8i q^{11} +(-1.30335e9 + 2.52551e9i) q^{12} -2.12768e9i q^{13} +(7.90864e9 + 1.92040e9i) q^{14} -1.00878e10 q^{15} +(9.95338e9 + 1.40028e10i) q^{16} -5.45139e9 q^{17} +(-1.19968e11 - 2.91311e10i) q^{18} -5.72346e9i q^{19} +(-2.79662e10 + 5.41902e10i) q^{20} +4.87417e11i q^{21} +(5.17825e10 - 2.13252e11i) q^{22} -1.30247e11 q^{23} +(-6.74290e11 + 7.77168e11i) q^{24} +5.46483e11 q^{25} +(1.81765e11 - 7.48551e11i) q^{26} -4.59365e12i q^{27} +(2.61832e12 + 1.35125e12i) q^{28} +4.23568e11i q^{29} +(-3.54905e12 - 8.61791e11i) q^{30} +3.83783e12 q^{31} +(2.30551e12 + 5.77670e12i) q^{32} +1.31429e13 q^{33} +(-1.91788e12 - 4.65706e11i) q^{34} +1.04586e13i q^{35} +(-3.97181e13 - 2.04975e13i) q^{36} -2.39674e13i q^{37} +(4.88948e11 - 2.01360e12i) q^{38} +4.61339e13 q^{39} +(-1.44683e13 + 1.66758e13i) q^{40} -5.79528e12 q^{41} +(-4.16394e13 + 1.71481e14i) q^{42} +4.00069e13i q^{43} +(3.64357e13 - 7.06016e13i) q^{44} -1.58649e14i q^{45} +(-4.58229e13 - 1.11268e13i) q^{46} -1.56837e14 q^{47} +(-3.03618e14 + 2.15816e14i) q^{48} +2.72699e14 q^{49} +(1.92261e14 + 4.66854e13i) q^{50} -1.18201e14i q^{51} +(1.27896e14 - 2.47824e14i) q^{52} +6.45318e14i q^{53} +(3.92430e14 - 1.61612e15i) q^{54} +2.82010e14 q^{55} +(8.05730e14 + 6.99071e14i) q^{56} +1.24100e14 q^{57} +(-3.61849e13 + 1.49018e14i) q^{58} -8.37680e14i q^{59} +(-1.17499e15 - 6.06382e14i) q^{60} +3.98624e14i q^{61} +(1.35021e15 + 3.27862e14i) q^{62} -7.66548e15 q^{63} +(3.17616e14 + 2.22929e15i) q^{64} +9.89901e14 q^{65} +(4.62388e15 + 1.12278e15i) q^{66} +5.22273e15i q^{67} +(-6.34956e14 - 3.27685e14i) q^{68} -2.82410e15i q^{69} +(-8.93463e14 + 3.67948e15i) q^{70} +5.50116e15 q^{71} +(-1.22223e16 - 1.06044e16i) q^{72} +1.47400e15 q^{73} +(2.04751e15 - 8.43211e15i) q^{74} +1.18492e16i q^{75} +(3.44039e14 - 6.66645e14i) q^{76} -1.36259e16i q^{77} +(1.62306e16 + 3.94116e15i) q^{78} -1.94988e16 q^{79} +(-6.51478e15 + 4.63079e15i) q^{80} +5.55660e16 q^{81} +(-2.03887e15 - 4.95084e14i) q^{82} -3.36599e16i q^{83} +(-2.92987e16 + 5.67723e16i) q^{84} -2.53625e15i q^{85} +(-3.41774e15 + 1.40750e16i) q^{86} -9.18409e15 q^{87} +(1.88501e16 - 2.17261e16i) q^{88} -1.09831e16 q^{89} +(1.35532e16 - 5.58151e16i) q^{90} -4.78293e16i q^{91} +(-1.51706e16 - 7.82918e15i) q^{92} +8.32145e16i q^{93} +(-5.51777e16 - 1.33984e16i) q^{94} +2.66283e15 q^{95} +(-1.25254e17 + 4.99896e16i) q^{96} +6.57395e16 q^{97} +(9.59397e16 + 2.32964e16i) q^{98} +2.06695e17i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 351.815 + 85.4288i 0.971761 + 0.235966i
\(3\) 21682.7i 1.90802i 0.299780 + 0.954008i \(0.403087\pi\)
−0.299780 + 0.954008i \(0.596913\pi\)
\(4\) 116476. + 60110.3i 0.888640 + 0.458605i
\(5\) 465248.i 0.532647i 0.963884 + 0.266324i \(0.0858090\pi\)
−0.963884 + 0.266324i \(0.914191\pi\)
\(6\) −1.85232e6 + 7.62829e6i −0.450227 + 1.85414i
\(7\) 2.24795e7 1.47385 0.736926 0.675973i \(-0.236276\pi\)
0.736926 + 0.675973i \(0.236276\pi\)
\(8\) 3.58428e7 + 3.10981e7i 0.755331 + 0.655343i
\(9\) −3.40998e8 −2.64053
\(10\) −3.97456e7 + 1.63681e8i −0.125687 + 0.517606i
\(11\) 6.06148e8i 0.852592i −0.904584 0.426296i \(-0.859818\pi\)
0.904584 0.426296i \(-0.140182\pi\)
\(12\) −1.30335e9 + 2.52551e9i −0.875026 + 1.69554i
\(13\) 2.12768e9i 0.723417i −0.932291 0.361708i \(-0.882194\pi\)
0.932291 0.361708i \(-0.117806\pi\)
\(14\) 7.90864e9 + 1.92040e9i 1.43223 + 0.347779i
\(15\) −1.00878e10 −1.01630
\(16\) 9.95338e9 + 1.40028e10i 0.579363 + 0.815070i
\(17\) −5.45139e9 −0.189536 −0.0947680 0.995499i \(-0.530211\pi\)
−0.0947680 + 0.995499i \(0.530211\pi\)
\(18\) −1.19968e11 2.91311e10i −2.56596 0.623075i
\(19\) 5.72346e9i 0.0773131i −0.999253 0.0386565i \(-0.987692\pi\)
0.999253 0.0386565i \(-0.0123078\pi\)
\(20\) −2.79662e10 + 5.41902e10i −0.244275 + 0.473332i
\(21\) 4.87417e11i 2.81214i
\(22\) 5.17825e10 2.13252e11i 0.201183 0.828515i
\(23\) −1.30247e11 −0.346802 −0.173401 0.984851i \(-0.555476\pi\)
−0.173401 + 0.984851i \(0.555476\pi\)
\(24\) −6.74290e11 + 7.77168e11i −1.25041 + 1.44118i
\(25\) 5.46483e11 0.716287
\(26\) 1.81765e11 7.48551e11i 0.170702 0.702988i
\(27\) 4.59365e12i 3.13016i
\(28\) 2.61832e12 + 1.35125e12i 1.30972 + 0.675916i
\(29\) 4.23568e11i 0.157232i 0.996905 + 0.0786159i \(0.0250501\pi\)
−0.996905 + 0.0786159i \(0.974950\pi\)
\(30\) −3.54905e12 8.61791e11i −0.987601 0.239812i
\(31\) 3.83783e12 0.808187 0.404093 0.914718i \(-0.367587\pi\)
0.404093 + 0.914718i \(0.367587\pi\)
\(32\) 2.30551e12 + 5.77670e12i 0.370674 + 0.928763i
\(33\) 1.31429e13 1.62676
\(34\) −1.91788e12 4.65706e11i −0.184184 0.0447240i
\(35\) 1.04586e13i 0.785044i
\(36\) −3.97181e13 2.04975e13i −2.34648 1.21096i
\(37\) 2.39674e13i 1.12178i −0.827891 0.560889i \(-0.810459\pi\)
0.827891 0.560889i \(-0.189541\pi\)
\(38\) 4.88948e11 2.01360e12i 0.0182432 0.0751299i
\(39\) 4.61339e13 1.38029
\(40\) −1.44683e13 + 1.66758e13i −0.349067 + 0.402325i
\(41\) −5.79528e12 −0.113347 −0.0566737 0.998393i \(-0.518049\pi\)
−0.0566737 + 0.998393i \(0.518049\pi\)
\(42\) −4.16394e13 + 1.71481e14i −0.663568 + 2.73272i
\(43\) 4.00069e13i 0.521979i 0.965342 + 0.260989i \(0.0840488\pi\)
−0.965342 + 0.260989i \(0.915951\pi\)
\(44\) 3.64357e13 7.06016e13i 0.391003 0.757647i
\(45\) 1.58649e14i 1.40647i
\(46\) −4.58229e13 1.11268e13i −0.337008 0.0818333i
\(47\) −1.56837e14 −0.960765 −0.480382 0.877059i \(-0.659502\pi\)
−0.480382 + 0.877059i \(0.659502\pi\)
\(48\) −3.03618e14 + 2.15816e14i −1.55517 + 1.10543i
\(49\) 2.72699e14 1.17224
\(50\) 1.92261e14 + 4.66854e13i 0.696060 + 0.169019i
\(51\) 1.18201e14i 0.361638i
\(52\) 1.27896e14 2.47824e14i 0.331763 0.642857i
\(53\) 6.45318e14i 1.42374i 0.702314 + 0.711868i \(0.252150\pi\)
−0.702314 + 0.711868i \(0.747850\pi\)
\(54\) 3.92430e14 1.61612e15i 0.738610 3.04176i
\(55\) 2.82010e14 0.454131
\(56\) 8.05730e14 + 6.99071e14i 1.11325 + 0.965880i
\(57\) 1.24100e14 0.147515
\(58\) −3.61849e13 + 1.49018e14i −0.0371013 + 0.152792i
\(59\) 8.37680e14i 0.742739i −0.928485 0.371369i \(-0.878888\pi\)
0.928485 0.371369i \(-0.121112\pi\)
\(60\) −1.17499e15 6.06382e14i −0.903125 0.466081i
\(61\) 3.98624e14i 0.266232i 0.991100 + 0.133116i \(0.0424983\pi\)
−0.991100 + 0.133116i \(0.957502\pi\)
\(62\) 1.35021e15 + 3.27862e14i 0.785365 + 0.190705i
\(63\) −7.66548e15 −3.89175
\(64\) 3.17616e14 + 2.22929e15i 0.141050 + 0.990002i
\(65\) 9.89901e14 0.385326
\(66\) 4.62388e15 + 1.12278e15i 1.58082 + 0.383860i
\(67\) 5.22273e15i 1.57131i 0.618665 + 0.785655i \(0.287674\pi\)
−0.618665 + 0.785655i \(0.712326\pi\)
\(68\) −6.34956e14 3.27685e14i −0.168429 0.0869222i
\(69\) 2.82410e15i 0.661703i
\(70\) −8.93463e14 + 3.67948e15i −0.185244 + 0.762875i
\(71\) 5.50116e15 1.01102 0.505508 0.862822i \(-0.331305\pi\)
0.505508 + 0.862822i \(0.331305\pi\)
\(72\) −1.22223e16 1.06044e16i −1.99447 1.73045i
\(73\) 1.47400e15 0.213921 0.106960 0.994263i \(-0.465888\pi\)
0.106960 + 0.994263i \(0.465888\pi\)
\(74\) 2.04751e15 8.43211e15i 0.264701 1.09010i
\(75\) 1.18492e16i 1.36669i
\(76\) 3.44039e14 6.66645e14i 0.0354562 0.0687035i
\(77\) 1.36259e16i 1.25659i
\(78\) 1.62306e16 + 3.94116e15i 1.34131 + 0.325702i
\(79\) −1.94988e16 −1.44603 −0.723015 0.690833i \(-0.757244\pi\)
−0.723015 + 0.690833i \(0.757244\pi\)
\(80\) −6.51478e15 + 4.63079e15i −0.434145 + 0.308596i
\(81\) 5.55660e16 3.33186
\(82\) −2.03887e15 4.95084e14i −0.110147 0.0267461i
\(83\) 3.36599e16i 1.64040i −0.572078 0.820199i \(-0.693862\pi\)
0.572078 0.820199i \(-0.306138\pi\)
\(84\) −2.92987e16 + 5.67723e16i −1.28966 + 2.49898i
\(85\) 2.53625e15i 0.100956i
\(86\) −3.41774e15 + 1.40750e16i −0.123169 + 0.507239i
\(87\) −9.18409e15 −0.300001
\(88\) 1.88501e16 2.17261e16i 0.558740 0.643989i
\(89\) −1.09831e16 −0.295740 −0.147870 0.989007i \(-0.547242\pi\)
−0.147870 + 0.989007i \(0.547242\pi\)
\(90\) 1.35532e16 5.58151e16i 0.331879 1.36675i
\(91\) 4.78293e16i 1.06621i
\(92\) −1.51706e16 7.82918e15i −0.308182 0.159045i
\(93\) 8.32145e16i 1.54203i
\(94\) −5.51777e16 1.33984e16i −0.933634 0.226708i
\(95\) 2.66283e15 0.0411806
\(96\) −1.25254e17 + 4.99896e16i −1.77210 + 0.707251i
\(97\) 6.57395e16 0.851660 0.425830 0.904803i \(-0.359982\pi\)
0.425830 + 0.904803i \(0.359982\pi\)
\(98\) 9.59397e16 + 2.32964e16i 1.13914 + 0.276609i
\(99\) 2.06695e17i 2.25129i
\(100\) 6.36521e16 + 3.28493e16i 0.636521 + 0.328493i
\(101\) 7.10748e16i 0.653106i −0.945179 0.326553i \(-0.894113\pi\)
0.945179 0.326553i \(-0.105887\pi\)
\(102\) 1.00977e16 4.15848e16i 0.0853342 0.351426i
\(103\) −1.91977e17 −1.49325 −0.746624 0.665246i \(-0.768327\pi\)
−0.746624 + 0.665246i \(0.768327\pi\)
\(104\) 6.61669e16 7.62622e16i 0.474086 0.546419i
\(105\) −2.26770e17 −1.49788
\(106\) −5.51288e16 + 2.27033e17i −0.335953 + 1.38353i
\(107\) 5.53132e16i 0.311220i −0.987819 0.155610i \(-0.950266\pi\)
0.987819 0.155610i \(-0.0497342\pi\)
\(108\) 2.76126e17 5.35049e17i 1.43551 2.78158i
\(109\) 3.67908e17i 1.76854i −0.466978 0.884269i \(-0.654657\pi\)
0.466978 0.884269i \(-0.345343\pi\)
\(110\) 9.92152e16 + 2.40917e16i 0.441307 + 0.107159i
\(111\) 5.19678e17 2.14037
\(112\) 2.23747e17 + 3.14776e17i 0.853895 + 1.20129i
\(113\) −3.48457e17 −1.23306 −0.616528 0.787333i \(-0.711461\pi\)
−0.616528 + 0.787333i \(0.711461\pi\)
\(114\) 4.36602e16 + 1.06017e16i 0.143349 + 0.0348084i
\(115\) 6.05972e16i 0.184723i
\(116\) −2.54608e16 + 4.93355e16i −0.0721073 + 0.139723i
\(117\) 7.25536e17i 1.91020i
\(118\) 7.15620e16 2.94708e17i 0.175261 0.721765i
\(119\) −1.22545e17 −0.279348
\(120\) −3.61576e17 3.13712e17i −0.767643 0.666026i
\(121\) 1.38031e17 0.273088
\(122\) −3.40540e16 + 1.40242e17i −0.0628217 + 0.258714i
\(123\) 1.25657e17i 0.216269i
\(124\) 4.47015e17 + 2.30693e17i 0.718187 + 0.370639i
\(125\) 6.09207e17i 0.914176i
\(126\) −2.69683e18 6.54853e17i −3.78185 0.918320i
\(127\) 5.29745e17 0.694600 0.347300 0.937754i \(-0.387099\pi\)
0.347300 + 0.937754i \(0.387099\pi\)
\(128\) −7.87032e16 + 8.11431e17i −0.0965401 + 0.995329i
\(129\) −8.67456e17 −0.995944
\(130\) 3.48262e17 + 8.45661e16i 0.374445 + 0.0909238i
\(131\) 1.11774e18i 1.12599i −0.826459 0.562996i \(-0.809649\pi\)
0.826459 0.562996i \(-0.190351\pi\)
\(132\) 1.53083e18 + 7.90024e17i 1.44560 + 0.746040i
\(133\) 1.28661e17i 0.113948i
\(134\) −4.46171e17 + 1.83744e18i −0.370775 + 1.52694i
\(135\) 2.13719e18 1.66727
\(136\) −1.95393e17 1.69528e17i −0.143162 0.124211i
\(137\) 6.75639e17 0.465146 0.232573 0.972579i \(-0.425285\pi\)
0.232573 + 0.972579i \(0.425285\pi\)
\(138\) 2.41260e17 9.93562e17i 0.156139 0.643018i
\(139\) 1.43378e18i 0.872686i −0.899780 0.436343i \(-0.856273\pi\)
0.899780 0.436343i \(-0.143727\pi\)
\(140\) −6.28668e17 + 1.21817e18i −0.360025 + 0.697622i
\(141\) 3.40065e18i 1.83316i
\(142\) 1.93539e18 + 4.69957e17i 0.982467 + 0.238565i
\(143\) −1.28969e18 −0.616779
\(144\) −3.39408e18 4.77493e18i −1.52982 2.15221i
\(145\) −1.97064e17 −0.0837491
\(146\) 5.18575e17 + 1.25922e17i 0.207880 + 0.0504780i
\(147\) 5.91285e18i 2.23666i
\(148\) 1.44069e18 2.79163e18i 0.514453 0.996857i
\(149\) 2.92569e18i 0.986608i 0.869857 + 0.493304i \(0.164211\pi\)
−0.869857 + 0.493304i \(0.835789\pi\)
\(150\) −1.01226e18 + 4.16874e18i −0.322492 + 1.32809i
\(151\) 3.38847e18 1.02023 0.510117 0.860105i \(-0.329602\pi\)
0.510117 + 0.860105i \(0.329602\pi\)
\(152\) 1.77989e17 2.05145e17i 0.0506666 0.0583970i
\(153\) 1.85892e18 0.500475
\(154\) 1.16405e18 4.79381e18i 0.296513 1.22111i
\(155\) 1.78555e18i 0.430479i
\(156\) 5.37348e18 + 2.77312e18i 1.22658 + 0.633009i
\(157\) 3.55208e18i 0.767954i −0.923343 0.383977i \(-0.874554\pi\)
0.923343 0.383977i \(-0.125446\pi\)
\(158\) −6.85997e18 1.66576e18i −1.40520 0.341214i
\(159\) −1.39922e19 −2.71651
\(160\) −2.68760e18 + 1.07263e18i −0.494703 + 0.197438i
\(161\) −2.92789e18 −0.511134
\(162\) 1.95490e19 + 4.74694e18i 3.23777 + 0.786205i
\(163\) 6.81975e18i 1.07195i −0.844234 0.535974i \(-0.819944\pi\)
0.844234 0.535974i \(-0.180056\pi\)
\(164\) −6.75010e17 3.48356e17i −0.100725 0.0519817i
\(165\) 6.11472e18i 0.866489i
\(166\) 2.87553e18 1.18421e19i 0.387078 1.59408i
\(167\) −1.29136e19 −1.65180 −0.825899 0.563819i \(-0.809332\pi\)
−0.825899 + 0.563819i \(0.809332\pi\)
\(168\) −1.51577e19 + 1.74704e19i −1.84291 + 2.12409i
\(169\) 4.12338e18 0.476668
\(170\) 2.16669e17 8.92292e17i 0.0238221 0.0981050i
\(171\) 1.95169e18i 0.204147i
\(172\) −2.40483e18 + 4.65984e18i −0.239382 + 0.463851i
\(173\) 2.98078e18i 0.282448i 0.989978 + 0.141224i \(0.0451037\pi\)
−0.989978 + 0.141224i \(0.954896\pi\)
\(174\) −3.23110e18 7.84586e17i −0.291529 0.0707900i
\(175\) 1.22847e19 1.05570
\(176\) 8.48777e18 6.03322e18i 0.694922 0.493960i
\(177\) 1.81631e19 1.41716
\(178\) −3.86403e18 9.38274e17i −0.287389 0.0697846i
\(179\) 4.00351e18i 0.283916i −0.989873 0.141958i \(-0.954660\pi\)
0.989873 0.141958i \(-0.0453398\pi\)
\(180\) 9.53643e18 1.84788e19i 0.645015 1.24985i
\(181\) 2.28445e19i 1.47406i 0.675861 + 0.737029i \(0.263772\pi\)
−0.675861 + 0.737029i \(0.736228\pi\)
\(182\) 4.08600e18 1.68271e19i 0.251589 1.03610i
\(183\) −8.64324e18 −0.507975
\(184\) −4.66842e18 4.05043e18i −0.261950 0.227274i
\(185\) 1.11508e19 0.597512
\(186\) −7.10891e18 + 2.92761e19i −0.363867 + 1.49849i
\(187\) 3.30435e18i 0.161597i
\(188\) −1.82677e19 9.42753e18i −0.853774 0.440612i
\(189\) 1.03263e20i 4.61339i
\(190\) 9.36824e17 + 2.27482e17i 0.0400177 + 0.00971722i
\(191\) 3.05570e19 1.24832 0.624162 0.781295i \(-0.285441\pi\)
0.624162 + 0.781295i \(0.285441\pi\)
\(192\) −4.83369e19 + 6.88676e18i −1.88894 + 0.269125i
\(193\) 2.24801e19 0.840547 0.420274 0.907397i \(-0.361934\pi\)
0.420274 + 0.907397i \(0.361934\pi\)
\(194\) 2.31281e19 + 5.61604e18i 0.827611 + 0.200963i
\(195\) 2.14637e19i 0.735209i
\(196\) 3.17629e19 + 1.63920e19i 1.04170 + 0.537596i
\(197\) 5.40141e19i 1.69646i 0.529625 + 0.848232i \(0.322333\pi\)
−0.529625 + 0.848232i \(0.677667\pi\)
\(198\) −1.76577e19 + 7.27186e19i −0.531228 + 2.18772i
\(199\) −3.30197e18 −0.0951747 −0.0475874 0.998867i \(-0.515153\pi\)
−0.0475874 + 0.998867i \(0.515153\pi\)
\(200\) 1.95875e19 + 1.69946e19i 0.541034 + 0.469414i
\(201\) −1.13243e20 −2.99808
\(202\) 6.07183e18 2.50052e19i 0.154111 0.634663i
\(203\) 9.52162e18i 0.231737i
\(204\) 7.10508e18 1.37675e19i 0.165849 0.321366i
\(205\) 2.69624e18i 0.0603742i
\(206\) −6.75403e19 1.64003e19i −1.45108 0.352356i
\(207\) 4.44140e19 0.915739
\(208\) 2.97935e19 2.11776e19i 0.589635 0.419121i
\(209\) −3.46926e18 −0.0659165
\(210\) −7.97811e19 1.93727e19i −1.45558 0.353448i
\(211\) 7.95957e19i 1.39473i −0.716718 0.697363i \(-0.754357\pi\)
0.716718 0.697363i \(-0.245643\pi\)
\(212\) −3.87903e19 + 7.51640e19i −0.652932 + 1.26519i
\(213\) 1.19280e20i 1.92904i
\(214\) 4.72534e18 1.94600e19i 0.0734372 0.302431i
\(215\) −1.86131e19 −0.278031
\(216\) 1.42854e20 1.64649e20i 2.05133 2.36430i
\(217\) 8.62727e19 1.19115
\(218\) 3.14300e19 1.29436e20i 0.417315 1.71860i
\(219\) 3.19603e19i 0.408164i
\(220\) 3.28473e19 + 1.69517e19i 0.403559 + 0.208267i
\(221\) 1.15988e19i 0.137113i
\(222\) 1.82831e20 + 4.43955e19i 2.07993 + 0.505055i
\(223\) −7.18745e19 −0.787015 −0.393508 0.919321i \(-0.628739\pi\)
−0.393508 + 0.919321i \(0.628739\pi\)
\(224\) 5.18267e19 + 1.29858e20i 0.546318 + 1.36886i
\(225\) −1.86350e20 −1.89138
\(226\) −1.22593e20 2.97683e19i −1.19824 0.290959i
\(227\) 1.07253e20i 1.00969i −0.863210 0.504845i \(-0.831550\pi\)
0.863210 0.504845i \(-0.168450\pi\)
\(228\) 1.44546e19 + 7.45968e18i 0.131087 + 0.0676510i
\(229\) 8.55186e19i 0.747238i 0.927582 + 0.373619i \(0.121883\pi\)
−0.927582 + 0.373619i \(0.878117\pi\)
\(230\) 5.17674e18 2.13190e19i 0.0435883 0.179507i
\(231\) 2.95447e20 2.39760
\(232\) −1.31722e19 + 1.51819e19i −0.103041 + 0.118762i
\(233\) −1.65020e20 −1.24455 −0.622273 0.782801i \(-0.713790\pi\)
−0.622273 + 0.782801i \(0.713790\pi\)
\(234\) −6.19817e19 + 2.55255e20i −0.450743 + 1.85626i
\(235\) 7.29682e19i 0.511749i
\(236\) 5.03532e19 9.75695e19i 0.340624 0.660027i
\(237\) 4.22786e20i 2.75905i
\(238\) −4.31131e19 1.04689e19i −0.271460 0.0659166i
\(239\) −2.20002e20 −1.33673 −0.668367 0.743832i \(-0.733006\pi\)
−0.668367 + 0.743832i \(0.733006\pi\)
\(240\) −1.00408e20 1.41258e20i −0.588807 0.828356i
\(241\) 1.65734e19 0.0938137 0.0469069 0.998899i \(-0.485064\pi\)
0.0469069 + 0.998899i \(0.485064\pi\)
\(242\) 4.85615e19 + 1.17919e19i 0.265376 + 0.0644394i
\(243\) 6.11596e20i 3.22709i
\(244\) −2.39614e19 + 4.64301e19i −0.122095 + 0.236584i
\(245\) 1.26873e20i 0.624392i
\(246\) 1.07347e19 4.42081e19i 0.0510320 0.210162i
\(247\) −1.21777e19 −0.0559296
\(248\) 1.37559e20 + 1.19349e20i 0.610449 + 0.529640i
\(249\) 7.29837e20 3.12991
\(250\) −5.20438e19 + 2.14328e20i −0.215714 + 0.888361i
\(251\) 5.13762e19i 0.205843i −0.994690 0.102921i \(-0.967181\pi\)
0.994690 0.102921i \(-0.0328190\pi\)
\(252\) −8.92844e20 4.60774e20i −3.45836 1.78478i
\(253\) 7.89490e19i 0.295680i
\(254\) 1.86372e20 + 4.52554e19i 0.674986 + 0.163902i
\(255\) 5.49927e19 0.192625
\(256\) −9.70085e19 + 2.78750e20i −0.328678 + 0.944442i
\(257\) −9.03372e19 −0.296098 −0.148049 0.988980i \(-0.547299\pi\)
−0.148049 + 0.988980i \(0.547299\pi\)
\(258\) −3.05184e20 7.41057e19i −0.967820 0.235009i
\(259\) 5.38777e20i 1.65334i
\(260\) 1.15300e20 + 5.95033e19i 0.342416 + 0.176713i
\(261\) 1.44436e20i 0.415175i
\(262\) 9.54873e19 3.93239e20i 0.265696 1.09420i
\(263\) −1.92468e20 −0.518484 −0.259242 0.965812i \(-0.583473\pi\)
−0.259242 + 0.965812i \(0.583473\pi\)
\(264\) 4.71079e20 + 4.08720e20i 1.22874 + 1.06609i
\(265\) −3.00233e20 −0.758349
\(266\) 1.09913e19 4.52648e19i 0.0268879 0.110730i
\(267\) 2.38143e20i 0.564277i
\(268\) −3.13940e20 + 6.08322e20i −0.720611 + 1.39633i
\(269\) 5.40117e19i 0.120114i 0.998195 + 0.0600569i \(0.0191282\pi\)
−0.998195 + 0.0600569i \(0.980872\pi\)
\(270\) 7.51895e20 + 1.82577e20i 1.62019 + 0.393419i
\(271\) 6.53682e19 0.136498 0.0682492 0.997668i \(-0.478259\pi\)
0.0682492 + 0.997668i \(0.478259\pi\)
\(272\) −5.42598e19 7.63347e19i −0.109810 0.154485i
\(273\) 1.03707e21 2.03435
\(274\) 2.37700e20 + 5.77190e19i 0.452011 + 0.109759i
\(275\) 3.31250e20i 0.610700i
\(276\) 1.69758e20 3.28940e20i 0.303460 0.588016i
\(277\) 1.79771e20i 0.311632i 0.987786 + 0.155816i \(0.0498007\pi\)
−0.987786 + 0.155816i \(0.950199\pi\)
\(278\) 1.22486e20 5.04427e20i 0.205924 0.848043i
\(279\) −1.30869e21 −2.13404
\(280\) −3.25242e20 + 3.74865e20i −0.514473 + 0.592968i
\(281\) 5.43168e20 0.833547 0.416774 0.909010i \(-0.363161\pi\)
0.416774 + 0.909010i \(0.363161\pi\)
\(282\) 2.90513e20 1.19640e21i 0.432562 1.78139i
\(283\) 7.08836e20i 1.02414i 0.858943 + 0.512072i \(0.171122\pi\)
−0.858943 + 0.512072i \(0.828878\pi\)
\(284\) 6.40752e20 + 3.30676e20i 0.898430 + 0.463657i
\(285\) 5.77373e19i 0.0785733i
\(286\) −4.53733e20 1.10177e20i −0.599362 0.145539i
\(287\) −1.30275e20 −0.167057
\(288\) −7.86174e20 1.96984e21i −0.978774 2.45243i
\(289\) −7.97523e20 −0.964076
\(290\) −6.93303e19 1.68350e19i −0.0813842 0.0197619i
\(291\) 1.42541e21i 1.62498i
\(292\) 1.71685e20 + 8.86025e19i 0.190099 + 0.0981052i
\(293\) 1.02708e20i 0.110467i 0.998473 + 0.0552334i \(0.0175903\pi\)
−0.998473 + 0.0552334i \(0.982410\pi\)
\(294\) −5.05127e20 + 2.08023e21i −0.527775 + 2.17350i
\(295\) 3.89729e20 0.395618
\(296\) 7.45342e20 8.59060e20i 0.735150 0.847314i
\(297\) −2.78443e21 −2.66874
\(298\) −2.49938e20 + 1.02930e21i −0.232806 + 0.958747i
\(299\) 2.77124e20i 0.250882i
\(300\) −7.12260e20 + 1.38015e21i −0.626770 + 1.21449i
\(301\) 8.99336e20i 0.769320i
\(302\) 1.19211e21 + 2.89473e20i 0.991423 + 0.240740i
\(303\) 1.54109e21 1.24614
\(304\) 8.01444e19 5.69677e19i 0.0630156 0.0447923i
\(305\) −1.85459e20 −0.141808
\(306\) 6.53995e20 + 1.58805e20i 0.486342 + 0.118095i
\(307\) 6.24758e19i 0.0451893i −0.999745 0.0225946i \(-0.992807\pi\)
0.999745 0.0225946i \(-0.00719271\pi\)
\(308\) 8.19059e20 1.58709e21i 0.576281 1.11666i
\(309\) 4.16257e21i 2.84914i
\(310\) −1.52537e20 + 6.28182e20i −0.101578 + 0.418323i
\(311\) −6.19747e20 −0.401561 −0.200780 0.979636i \(-0.564348\pi\)
−0.200780 + 0.979636i \(0.564348\pi\)
\(312\) 1.65357e21 + 1.43468e21i 1.04258 + 0.904565i
\(313\) 2.05658e21 1.26188 0.630942 0.775830i \(-0.282669\pi\)
0.630942 + 0.775830i \(0.282669\pi\)
\(314\) 3.03450e20 1.24967e21i 0.181211 0.746268i
\(315\) 3.56635e21i 2.07293i
\(316\) −2.27114e21 1.17208e21i −1.28500 0.663156i
\(317\) 2.76754e21i 1.52437i 0.647361 + 0.762184i \(0.275873\pi\)
−0.647361 + 0.762184i \(0.724127\pi\)
\(318\) −4.92268e21 1.19534e21i −2.63980 0.641004i
\(319\) 2.56745e20 0.134055
\(320\) −1.03717e21 + 1.47770e20i −0.527322 + 0.0751298i
\(321\) 1.19934e21 0.593812
\(322\) −1.03008e21 2.50126e20i −0.496701 0.120610i
\(323\) 3.12008e19i 0.0146536i
\(324\) 6.47210e21 + 3.34009e21i 2.96083 + 1.52801i
\(325\) 1.16274e21i 0.518174i
\(326\) 5.82603e20 2.39929e21i 0.252943 1.04168i
\(327\) 7.97723e21 3.37440
\(328\) −2.07719e20 1.80222e20i −0.0856148 0.0742815i
\(329\) −3.52563e21 −1.41603
\(330\) −5.22373e20 + 2.15125e21i −0.204462 + 0.842021i
\(331\) 1.62038e21i 0.618128i 0.951041 + 0.309064i \(0.100016\pi\)
−0.951041 + 0.309064i \(0.899984\pi\)
\(332\) 2.02331e21 3.92057e21i 0.752295 1.45772i
\(333\) 8.17285e21i 2.96209i
\(334\) −4.54319e21 1.10319e21i −1.60515 0.389768i
\(335\) −2.42987e21 −0.836954
\(336\) −6.82519e21 + 4.85144e21i −2.29209 + 1.62925i
\(337\) 7.17480e20 0.234939 0.117470 0.993076i \(-0.462522\pi\)
0.117470 + 0.993076i \(0.462522\pi\)
\(338\) 1.45067e21 + 3.52255e20i 0.463208 + 0.112477i
\(339\) 7.55549e21i 2.35269i
\(340\) 1.52455e20 2.95412e20i 0.0462989 0.0897134i
\(341\) 2.32630e21i 0.689053i
\(342\) −1.66730e20 + 6.86634e20i −0.0481718 + 0.198382i
\(343\) 9.00726e20 0.253859
\(344\) −1.24414e21 + 1.43396e21i −0.342075 + 0.394267i
\(345\) 1.31391e21 0.352455
\(346\) −2.54644e20 + 1.04868e21i −0.0666480 + 0.274472i
\(347\) 6.16195e21i 1.57369i 0.617154 + 0.786843i \(0.288286\pi\)
−0.617154 + 0.786843i \(0.711714\pi\)
\(348\) −1.06972e21 5.52058e20i −0.266593 0.137582i
\(349\) 5.73892e21i 1.39577i −0.716210 0.697885i \(-0.754125\pi\)
0.716210 0.697885i \(-0.245875\pi\)
\(350\) 4.32194e21 + 1.04947e21i 1.02589 + 0.249109i
\(351\) −9.77383e21 −2.26441
\(352\) 3.50154e21 1.39748e21i 0.791856 0.316033i
\(353\) −7.35535e21 −1.62375 −0.811873 0.583834i \(-0.801552\pi\)
−0.811873 + 0.583834i \(0.801552\pi\)
\(354\) 6.39007e21 + 1.55165e21i 1.37714 + 0.334401i
\(355\) 2.55941e21i 0.538515i
\(356\) −1.27927e21 6.60198e20i −0.262807 0.135628i
\(357\) 2.65710e21i 0.533001i
\(358\) 3.42015e20 1.40849e21i 0.0669945 0.275898i
\(359\) −1.38050e21 −0.264079 −0.132040 0.991244i \(-0.542153\pi\)
−0.132040 + 0.991244i \(0.542153\pi\)
\(360\) 4.93368e21 5.68642e21i 0.921721 1.06235i
\(361\) 5.44763e21 0.994023
\(362\) −1.95158e21 + 8.03706e21i −0.347827 + 1.43243i
\(363\) 2.99289e21i 0.521056i
\(364\) 2.87504e21 5.57096e21i 0.488969 0.947477i
\(365\) 6.85776e20i 0.113944i
\(366\) −3.04082e21 7.38381e20i −0.493630 0.119865i
\(367\) 9.17912e21 1.45593 0.727963 0.685616i \(-0.240467\pi\)
0.727963 + 0.685616i \(0.240467\pi\)
\(368\) −1.29640e21 1.82382e21i −0.200924 0.282667i
\(369\) 1.97618e21 0.299297
\(370\) 3.92302e21 + 9.52600e20i 0.580639 + 0.140993i
\(371\) 1.45065e22i 2.09838i
\(372\) −5.00205e21 + 9.69248e21i −0.707185 + 1.37031i
\(373\) 3.68573e21i 0.509329i −0.967029 0.254665i \(-0.918035\pi\)
0.967029 0.254665i \(-0.0819651\pi\)
\(374\) −2.82287e20 + 1.16252e21i −0.0381313 + 0.157033i
\(375\) −1.32092e22 −1.74426
\(376\) −5.62149e21 4.87734e21i −0.725696 0.629631i
\(377\) 9.01219e20 0.113744
\(378\) 8.82164e21 3.63295e22i 1.08860 4.48311i
\(379\) 9.17543e21i 1.10712i −0.832810 0.553558i \(-0.813270\pi\)
0.832810 0.553558i \(-0.186730\pi\)
\(380\) 3.10155e20 + 1.60063e20i 0.0365947 + 0.0188856i
\(381\) 1.14863e22i 1.32531i
\(382\) 1.07504e22 + 2.61045e21i 1.21307 + 0.294562i
\(383\) −7.23389e21 −0.798329 −0.399165 0.916879i \(-0.630700\pi\)
−0.399165 + 0.916879i \(0.630700\pi\)
\(384\) −1.75940e22 1.70650e21i −1.89910 0.184200i
\(385\) 6.33944e21 0.669322
\(386\) 7.90886e21 + 1.92045e21i 0.816811 + 0.198340i
\(387\) 1.36423e22i 1.37830i
\(388\) 7.65706e21 + 3.95162e21i 0.756820 + 0.390576i
\(389\) 1.25731e21i 0.121583i −0.998150 0.0607914i \(-0.980638\pi\)
0.998150 0.0607914i \(-0.0193624\pi\)
\(390\) −1.83362e21 + 7.55126e21i −0.173484 + 0.714447i
\(391\) 7.10027e20 0.0657314
\(392\) 9.77431e21 + 8.48043e21i 0.885431 + 0.768221i
\(393\) 2.42356e22 2.14841
\(394\) −4.61436e21 + 1.90030e22i −0.400308 + 1.64856i
\(395\) 9.07178e21i 0.770224i
\(396\) −1.24245e22 + 2.40750e22i −1.03245 + 2.00059i
\(397\) 1.07820e22i 0.876957i −0.898742 0.438478i \(-0.855518\pi\)
0.898742 0.438478i \(-0.144482\pi\)
\(398\) −1.16168e21 2.82083e20i −0.0924871 0.0224580i
\(399\) 2.78971e21 0.217415
\(400\) 5.43935e21 + 7.65229e21i 0.414990 + 0.583824i
\(401\) −1.08434e22 −0.809915 −0.404957 0.914336i \(-0.632714\pi\)
−0.404957 + 0.914336i \(0.632714\pi\)
\(402\) −3.98405e22 9.67419e21i −2.91342 0.707446i
\(403\) 8.16570e21i 0.584656i
\(404\) 4.27233e21 8.27850e21i 0.299518 0.580377i
\(405\) 2.58520e22i 1.77471i
\(406\) −8.13420e20 + 3.34985e21i −0.0546819 + 0.225193i
\(407\) −1.45278e22 −0.956418
\(408\) 3.67582e21 4.23665e21i 0.236997 0.273156i
\(409\) −2.32714e22 −1.46951 −0.734757 0.678330i \(-0.762704\pi\)
−0.734757 + 0.678330i \(0.762704\pi\)
\(410\) 2.30337e20 9.48580e20i 0.0142463 0.0586693i
\(411\) 1.46497e22i 0.887507i
\(412\) −2.23606e22 1.15398e22i −1.32696 0.684811i
\(413\) 1.88307e22i 1.09469i
\(414\) 1.56255e22 + 3.79423e21i 0.889880 + 0.216083i
\(415\) 1.56602e22 0.873754
\(416\) 1.22910e22 4.90539e21i 0.671883 0.268151i
\(417\) 3.10883e22 1.66510
\(418\) −1.22054e21 2.96375e20i −0.0640551 0.0155540i
\(419\) 2.64974e22i 1.36265i 0.731980 + 0.681326i \(0.238596\pi\)
−0.731980 + 0.681326i \(0.761404\pi\)
\(420\) −2.64132e22 1.36312e22i −1.33107 0.686934i
\(421\) 3.52910e21i 0.174288i −0.996196 0.0871438i \(-0.972226\pi\)
0.996196 0.0871438i \(-0.0277739\pi\)
\(422\) 6.79976e21 2.80030e22i 0.329108 1.35534i
\(423\) 5.34812e22 2.53693
\(424\) −2.00682e22 + 2.31300e22i −0.933036 + 1.07539i
\(425\) −2.97910e21 −0.135762
\(426\) −1.01899e22 + 4.19645e22i −0.455187 + 1.87456i
\(427\) 8.96089e21i 0.392387i
\(428\) 3.32489e21 6.44266e21i 0.142727 0.276562i
\(429\) 2.79640e22i 1.17682i
\(430\) −6.54839e21 1.59010e21i −0.270179 0.0656058i
\(431\) −1.62468e22 −0.657220 −0.328610 0.944466i \(-0.606580\pi\)
−0.328610 + 0.944466i \(0.606580\pi\)
\(432\) 6.43239e22 4.57223e22i 2.55129 1.81350i
\(433\) −2.11243e22 −0.821553 −0.410776 0.911736i \(-0.634742\pi\)
−0.410776 + 0.911736i \(0.634742\pi\)
\(434\) 3.03521e22 + 7.37018e21i 1.15751 + 0.281070i
\(435\) 4.27288e21i 0.159795i
\(436\) 2.21151e22 4.28524e22i 0.811060 1.57159i
\(437\) 7.45463e20i 0.0268123i
\(438\) −2.73033e21 + 1.12441e22i −0.0963129 + 0.396638i
\(439\) 3.57810e22 1.23795 0.618977 0.785409i \(-0.287548\pi\)
0.618977 + 0.785409i \(0.287548\pi\)
\(440\) 1.01080e22 + 8.76996e21i 0.343019 + 0.297612i
\(441\) −9.29899e22 −3.09534
\(442\) −9.90875e20 + 4.08065e21i −0.0323541 + 0.133242i
\(443\) 5.46996e22i 1.75207i −0.482245 0.876036i \(-0.660178\pi\)
0.482245 0.876036i \(-0.339822\pi\)
\(444\) 6.05299e22 + 3.12380e22i 1.90202 + 0.981585i
\(445\) 5.10988e21i 0.157525i
\(446\) −2.52865e22 6.14015e21i −0.764791 0.185709i
\(447\) −6.34367e22 −1.88246
\(448\) 7.13986e21 + 5.01134e22i 0.207887 + 1.45912i
\(449\) 1.84591e22 0.527371 0.263686 0.964609i \(-0.415062\pi\)
0.263686 + 0.964609i \(0.415062\pi\)
\(450\) −6.55607e22 1.59196e22i −1.83797 0.446300i
\(451\) 3.51280e21i 0.0966390i
\(452\) −4.05869e22 2.09459e22i −1.09574 0.565486i
\(453\) 7.34711e22i 1.94662i
\(454\) 9.16246e21 3.77331e22i 0.238252 0.981177i
\(455\) 2.22525e22 0.567914
\(456\) 4.44809e21 + 3.85927e21i 0.111422 + 0.0966728i
\(457\) 2.92054e22 0.718085 0.359042 0.933321i \(-0.383103\pi\)
0.359042 + 0.933321i \(0.383103\pi\)
\(458\) −7.30575e21 + 3.00867e22i −0.176323 + 0.726137i
\(459\) 2.50418e22i 0.593277i
\(460\) 3.64251e21 7.05811e21i 0.0847149 0.164152i
\(461\) 4.03608e22i 0.921513i 0.887527 + 0.460756i \(0.152422\pi\)
−0.887527 + 0.460756i \(0.847578\pi\)
\(462\) 1.03943e23 + 2.52397e22i 2.32990 + 0.565753i
\(463\) −6.51927e22 −1.43470 −0.717349 0.696714i \(-0.754644\pi\)
−0.717349 + 0.696714i \(0.754644\pi\)
\(464\) −5.93114e21 + 4.21593e21i −0.128155 + 0.0910943i
\(465\) −3.87154e22 −0.821361
\(466\) −5.80565e22 1.40974e22i −1.20940 0.293670i
\(467\) 3.14842e21i 0.0644021i −0.999481 0.0322010i \(-0.989748\pi\)
0.999481 0.0322010i \(-0.0102517\pi\)
\(468\) −4.36122e22 + 8.45075e22i −0.876028 + 1.69748i
\(469\) 1.17405e23i 2.31588i
\(470\) 6.23359e21 2.56713e22i 0.120755 0.497298i
\(471\) 7.70185e22 1.46527
\(472\) 2.60503e22 3.00248e22i 0.486749 0.561013i
\(473\) 2.42501e22 0.445035
\(474\) 3.61181e22 1.48742e23i 0.651041 2.68114i
\(475\) 3.12777e21i 0.0553783i
\(476\) −1.42735e22 7.36620e21i −0.248240 0.128110i
\(477\) 2.20052e23i 3.75941i
\(478\) −7.74001e22 1.87945e22i −1.29899 0.315423i
\(479\) 5.37771e22 0.886637 0.443318 0.896364i \(-0.353801\pi\)
0.443318 + 0.896364i \(0.353801\pi\)
\(480\) −2.32576e22 5.82744e22i −0.376716 0.943902i
\(481\) −5.09951e22 −0.811513
\(482\) 5.83077e21 + 1.41584e21i 0.0911645 + 0.0221368i
\(483\) 6.34845e22i 0.975253i
\(484\) 1.60773e22 + 8.29710e21i 0.242677 + 0.125239i
\(485\) 3.05852e22i 0.453635i
\(486\) −5.22479e22 + 2.15169e23i −0.761483 + 3.13596i
\(487\) −1.62097e22 −0.232155 −0.116078 0.993240i \(-0.537032\pi\)
−0.116078 + 0.993240i \(0.537032\pi\)
\(488\) −1.23965e22 + 1.42878e22i −0.174473 + 0.201093i
\(489\) 1.47870e23 2.04530
\(490\) −1.08386e22 + 4.46358e22i −0.147335 + 0.606760i
\(491\) 3.89242e22i 0.520028i 0.965605 + 0.260014i \(0.0837273\pi\)
−0.965605 + 0.260014i \(0.916273\pi\)
\(492\) 7.55329e21 1.46360e22i 0.0991819 0.192185i
\(493\) 2.30904e21i 0.0298011i
\(494\) −4.28430e21 1.04033e21i −0.0543502 0.0131975i
\(495\) −9.61647e22 −1.19914
\(496\) 3.81994e22 + 5.37404e22i 0.468233 + 0.658729i
\(497\) 1.23664e23 1.49009
\(498\) 2.56768e23 + 6.23491e22i 3.04152 + 0.738552i
\(499\) 6.70841e22i 0.781205i 0.920560 + 0.390602i \(0.127733\pi\)
−0.920560 + 0.390602i \(0.872267\pi\)
\(500\) −3.66196e22 + 7.09579e22i −0.419246 + 0.812373i
\(501\) 2.80001e23i 3.15166i
\(502\) 4.38901e21 1.80749e22i 0.0485718 0.200030i
\(503\) −2.47633e22 −0.269452 −0.134726 0.990883i \(-0.543015\pi\)
−0.134726 + 0.990883i \(0.543015\pi\)
\(504\) −2.74753e23 2.38382e23i −2.93956 2.55043i
\(505\) 3.30674e22 0.347875
\(506\) −6.74451e21 + 2.77754e22i −0.0697704 + 0.287330i
\(507\) 8.94059e22i 0.909491i
\(508\) 6.17024e22 + 3.18431e22i 0.617250 + 0.318547i
\(509\) 5.33536e22i 0.524883i 0.964948 + 0.262441i \(0.0845276\pi\)
−0.964948 + 0.262441i \(0.915472\pi\)
\(510\) 1.93473e22 + 4.69796e21i 0.187186 + 0.0454530i
\(511\) 3.31348e22 0.315288
\(512\) −5.79424e22 + 8.97812e22i −0.542252 + 0.840216i
\(513\) −2.62916e22 −0.242002
\(514\) −3.17820e22 7.71740e21i −0.287736 0.0698690i
\(515\) 8.93169e22i 0.795375i
\(516\) −1.01038e23 5.21430e22i −0.885036 0.456745i
\(517\) 9.50666e22i 0.819140i
\(518\) 4.60271e22 1.89550e23i 0.390131 1.60665i
\(519\) −6.46312e22 −0.538915
\(520\) 3.54809e22 + 3.07841e22i 0.291049 + 0.252521i
\(521\) −2.10097e22 −0.169551 −0.0847754 0.996400i \(-0.527017\pi\)
−0.0847754 + 0.996400i \(0.527017\pi\)
\(522\) 1.23390e22 5.08148e22i 0.0979671 0.403451i
\(523\) 7.86323e22i 0.614238i −0.951671 0.307119i \(-0.900635\pi\)
0.951671 0.307119i \(-0.0993650\pi\)
\(524\) 6.71878e22 1.30190e23i 0.516386 1.00060i
\(525\) 2.66365e23i 2.01430i
\(526\) −6.77132e22 1.64423e22i −0.503842 0.122344i
\(527\) −2.09215e22 −0.153180
\(528\) 1.30816e23 + 1.84038e23i 0.942484 + 1.32592i
\(529\) −1.24086e23 −0.879729
\(530\) −1.05627e23 2.56486e22i −0.736934 0.178944i
\(531\) 2.85647e23i 1.96122i
\(532\) 7.73383e21 1.49859e22i 0.0522572 0.101259i
\(533\) 1.23305e22i 0.0819974i
\(534\) 2.03443e22 8.37824e22i 0.133150 0.548343i
\(535\) 2.57344e22 0.165770
\(536\) −1.62417e23 + 1.87197e23i −1.02975 + 1.18686i
\(537\) 8.68067e22 0.541716
\(538\) −4.61415e21 + 1.90021e22i −0.0283428 + 0.116722i
\(539\) 1.65296e23i 0.999443i
\(540\) 2.48931e23 + 1.28467e23i 1.48160 + 0.764618i
\(541\) 8.46969e22i 0.496239i 0.968729 + 0.248120i \(0.0798126\pi\)
−0.968729 + 0.248120i \(0.920187\pi\)
\(542\) 2.29975e22 + 5.58433e21i 0.132644 + 0.0322090i
\(543\) −4.95331e23 −2.81253
\(544\) −1.25682e22 3.14911e22i −0.0702560 0.176034i
\(545\) 1.71169e23 0.942007
\(546\) 3.64856e23 + 8.85955e22i 1.97690 + 0.480036i
\(547\) 3.22585e23i 1.72088i −0.509548 0.860442i \(-0.670187\pi\)
0.509548 0.860442i \(-0.329813\pi\)
\(548\) 7.86956e22 + 4.06128e22i 0.413348 + 0.213318i
\(549\) 1.35930e23i 0.702993i
\(550\) 2.82983e22 1.16539e23i 0.144104 0.593455i
\(551\) 2.42428e21 0.0121561
\(552\) 8.78242e22 1.01224e23i 0.433643 0.499805i
\(553\) −4.38324e23 −2.13123
\(554\) −1.53576e22 + 6.32462e22i −0.0735345 + 0.302832i
\(555\) 2.41779e23i 1.14006i
\(556\) 8.61852e22 1.67001e23i 0.400218 0.775504i
\(557\) 1.27684e23i 0.583937i −0.956428 0.291968i \(-0.905690\pi\)
0.956428 0.291968i \(-0.0943102\pi\)
\(558\) −4.60419e23 1.11800e23i −2.07378 0.503561i
\(559\) 8.51220e22 0.377608
\(560\) −1.46449e23 + 1.04098e23i −0.639866 + 0.454825i
\(561\) −7.16472e22 −0.308329
\(562\) 1.91095e23 + 4.64022e22i 0.810009 + 0.196689i
\(563\) 3.00272e23i 1.25370i −0.779141 0.626849i \(-0.784344\pi\)
0.779141 0.626849i \(-0.215656\pi\)
\(564\) 2.04414e23 3.96093e23i 0.840694 1.62902i
\(565\) 1.62119e23i 0.656785i
\(566\) −6.05550e22 + 2.49379e23i −0.241663 + 0.995223i
\(567\) 1.24910e24 4.91067
\(568\) 1.97177e23 + 1.71076e23i 0.763652 + 0.662563i
\(569\) 1.90009e23 0.724969 0.362485 0.931990i \(-0.381929\pi\)
0.362485 + 0.931990i \(0.381929\pi\)
\(570\) −4.93243e21 + 2.03129e22i −0.0185406 + 0.0763545i
\(571\) 1.14724e23i 0.424862i 0.977176 + 0.212431i \(0.0681381\pi\)
−0.977176 + 0.212431i \(0.931862\pi\)
\(572\) −1.50218e23 7.75237e22i −0.548095 0.282858i
\(573\) 6.62557e23i 2.38182i
\(574\) −4.58328e22 1.11293e22i −0.162340 0.0394198i
\(575\) −7.11778e22 −0.248409
\(576\) −1.08306e23 7.60183e23i −0.372446 2.61413i
\(577\) −3.30120e23 −1.11861 −0.559303 0.828963i \(-0.688931\pi\)
−0.559303 + 0.828963i \(0.688931\pi\)
\(578\) −2.80581e23 6.81314e22i −0.936852 0.227489i
\(579\) 4.87430e23i 1.60378i
\(580\) −2.29533e22 1.18456e22i −0.0744228 0.0384078i
\(581\) 7.56660e23i 2.41771i
\(582\) −1.21771e23 + 5.01480e23i −0.383440 + 1.57909i
\(583\) 3.91159e23 1.21386
\(584\) 5.28323e22 + 4.58386e22i 0.161581 + 0.140192i
\(585\) −3.37555e23 −1.01746
\(586\) −8.77426e21 + 3.61344e22i −0.0260664 + 0.107347i
\(587\) 4.63905e23i 1.35833i 0.733985 + 0.679166i \(0.237658\pi\)
−0.733985 + 0.679166i \(0.762342\pi\)
\(588\) −3.55423e23 + 6.88704e23i −1.02574 + 1.98758i
\(589\) 2.19657e22i 0.0624834i
\(590\) 1.37113e23 + 3.32941e22i 0.384446 + 0.0933523i
\(591\) −1.17117e24 −3.23688
\(592\) 3.35611e23 2.38557e23i 0.914327 0.649916i
\(593\) 6.61931e23 1.77766 0.888829 0.458240i \(-0.151520\pi\)
0.888829 + 0.458240i \(0.151520\pi\)
\(594\) −9.79606e23 2.37871e23i −2.59338 0.629733i
\(595\) 5.70138e22i 0.148794i
\(596\) −1.75864e23 + 3.40772e23i −0.452463 + 0.876739i
\(597\) 7.15955e22i 0.181595i
\(598\) −2.36744e22 + 9.74965e22i −0.0591996 + 0.243797i
\(599\) 3.11969e23 0.769102 0.384551 0.923104i \(-0.374356\pi\)
0.384551 + 0.923104i \(0.374356\pi\)
\(600\) −3.68488e23 + 4.24710e23i −0.895649 + 1.03230i
\(601\) −2.76234e22 −0.0661978 −0.0330989 0.999452i \(-0.510538\pi\)
−0.0330989 + 0.999452i \(0.510538\pi\)
\(602\) −7.68292e22 + 3.16400e23i −0.181533 + 0.747595i
\(603\) 1.78094e24i 4.14909i
\(604\) 3.94675e23 + 2.03682e23i 0.906620 + 0.467884i
\(605\) 6.42189e22i 0.145459i
\(606\) 5.42179e23 + 1.31654e23i 1.21095 + 0.294046i
\(607\) 5.72816e23 1.26157 0.630785 0.775958i \(-0.282733\pi\)
0.630785 + 0.775958i \(0.282733\pi\)
\(608\) 3.30627e22 1.31955e22i 0.0718055 0.0286579i
\(609\) −2.06454e23 −0.442157
\(610\) −6.52474e22 1.58436e22i −0.137803 0.0334618i
\(611\) 3.33700e23i 0.695033i
\(612\) 2.16519e23 + 1.11740e23i 0.444742 + 0.229520i
\(613\) 5.83184e23i 1.18139i 0.806896 + 0.590693i \(0.201146\pi\)
−0.806896 + 0.590693i \(0.798854\pi\)
\(614\) 5.33723e21 2.19799e22i 0.0106631 0.0439132i
\(615\) 5.84618e22 0.115195
\(616\) 4.23741e23 4.88392e23i 0.823501 0.949145i
\(617\) −5.87532e23 −1.12618 −0.563090 0.826396i \(-0.690388\pi\)
−0.563090 + 0.826396i \(0.690388\pi\)
\(618\) 3.55603e23 1.46445e24i 0.672301 2.76869i
\(619\) 1.26636e23i 0.236150i 0.993005 + 0.118075i \(0.0376723\pi\)
−0.993005 + 0.118075i \(0.962328\pi\)
\(620\) −1.07330e23 + 2.07973e23i −0.197420 + 0.382541i
\(621\) 5.98309e23i 1.08554i
\(622\) −2.18037e23 5.29443e22i −0.390221 0.0947547i
\(623\) −2.46895e23 −0.435878
\(624\) 4.59188e23 + 6.46003e23i 0.799689 + 1.12503i
\(625\) 1.33501e23 0.229353
\(626\) 7.23537e23 + 1.75691e23i 1.22625 + 0.297762i
\(627\) 7.52229e22i 0.125770i
\(628\) 2.13516e23 4.13731e23i 0.352188 0.682435i
\(629\) 1.30656e23i 0.212617i
\(630\) 3.04669e23 1.25470e24i 0.489141 2.01439i
\(631\) 9.95923e22 0.157753 0.0788763 0.996884i \(-0.474867\pi\)
0.0788763 + 0.996884i \(0.474867\pi\)
\(632\) −6.98891e23 6.06375e23i −1.09223 0.947646i
\(633\) 1.72585e24 2.66116
\(634\) −2.36427e23 + 9.73661e23i −0.359699 + 1.48132i
\(635\) 2.46463e23i 0.369977i
\(636\) −1.62976e24 8.41077e23i −2.41400 1.24581i
\(637\) 5.80218e23i 0.848019i
\(638\) 9.03268e22 + 2.19334e22i 0.130269 + 0.0316323i
\(639\) −1.87589e24 −2.66962
\(640\) −3.77517e23 3.66165e22i −0.530160 0.0514218i
\(641\) 8.64785e22 0.119844 0.0599218 0.998203i \(-0.480915\pi\)
0.0599218 + 0.998203i \(0.480915\pi\)
\(642\) 4.21946e23 + 1.02458e23i 0.577044 + 0.140119i
\(643\) 5.63561e22i 0.0760585i 0.999277 + 0.0380292i \(0.0121080\pi\)
−0.999277 + 0.0380292i \(0.987892\pi\)
\(644\) −3.41029e23 1.75996e23i −0.454215 0.234409i
\(645\) 4.03583e23i 0.530487i
\(646\) −2.66545e21 + 1.09769e22i −0.00345775 + 0.0142398i
\(647\) −8.85704e23 −1.13397 −0.566986 0.823728i \(-0.691890\pi\)
−0.566986 + 0.823728i \(0.691890\pi\)
\(648\) 1.99164e24 + 1.72800e24i 2.51666 + 2.18351i
\(649\) −5.07758e23 −0.633253
\(650\) 9.93318e22 4.09071e23i 0.122271 0.503541i
\(651\) 1.87062e24i 2.27273i
\(652\) 4.09937e23 7.94337e23i 0.491601 0.952577i
\(653\) 3.56939e23i 0.422505i 0.977432 + 0.211252i \(0.0677542\pi\)
−0.977432 + 0.211252i \(0.932246\pi\)
\(654\) 2.80651e24 + 6.81485e23i 3.27911 + 0.796243i
\(655\) 5.20028e23 0.599757
\(656\) −5.76826e22 8.11501e22i −0.0656693 0.0923860i
\(657\) −5.02631e23 −0.564864
\(658\) −1.24037e24 3.01190e23i −1.37604 0.334134i
\(659\) 6.90655e23i 0.756372i 0.925730 + 0.378186i \(0.123452\pi\)
−0.925730 + 0.378186i \(0.876548\pi\)
\(660\) −3.67558e23 + 7.12217e23i −0.397376 + 0.769997i
\(661\) 1.43884e24i 1.53567i −0.640645 0.767837i \(-0.721333\pi\)
0.640645 0.767837i \(-0.278667\pi\)
\(662\) −1.38427e23 + 5.70074e23i −0.145857 + 0.600673i
\(663\) −2.51494e23 −0.261615
\(664\) 1.04676e24 1.20647e24i 1.07502 1.23904i
\(665\) 5.98592e22 0.0606942
\(666\) −6.98197e23 + 2.87533e24i −0.698951 + 2.87844i
\(667\) 5.51685e22i 0.0545282i
\(668\) −1.50412e24 7.76239e23i −1.46785 0.757523i
\(669\) 1.55843e24i 1.50164i
\(670\) −8.54864e23 2.07581e23i −0.813320 0.197493i
\(671\) 2.41625e23 0.226987
\(672\) −2.81566e24 + 1.12374e24i −2.61181 + 1.04238i
\(673\) −1.28567e24 −1.17761 −0.588806 0.808275i \(-0.700402\pi\)
−0.588806 + 0.808275i \(0.700402\pi\)
\(674\) 2.52420e23 + 6.12935e22i 0.228305 + 0.0554377i
\(675\) 2.51035e24i 2.24209i
\(676\) 4.80274e23 + 2.47858e23i 0.423587 + 0.218603i
\(677\) 7.83643e23i 0.682519i 0.939969 + 0.341259i \(0.110853\pi\)
−0.939969 + 0.341259i \(0.889147\pi\)
\(678\) 6.45456e23 2.65814e24i 0.555155 2.28626i
\(679\) 1.47779e24 1.25522
\(680\) 7.88726e22 9.09064e22i 0.0661608 0.0762551i
\(681\) 2.32552e24 1.92650
\(682\) 1.98733e23 8.18426e23i 0.162593 0.669595i
\(683\) 7.52256e23i 0.607841i 0.952697 + 0.303920i \(0.0982957\pi\)
−0.952697 + 0.303920i \(0.901704\pi\)
\(684\) −1.17317e23 + 2.27325e23i −0.0936230 + 0.181414i
\(685\) 3.14340e23i 0.247759i
\(686\) 3.16889e23 + 7.69479e22i 0.246690 + 0.0599021i
\(687\) −1.85427e24 −1.42574
\(688\) −5.60208e23 + 3.98204e23i −0.425449 + 0.302415i
\(689\) 1.37303e24 1.02995
\(690\) 4.62253e23 + 1.12246e23i 0.342502 + 0.0831672i
\(691\) 1.95452e24i 1.43046i 0.698888 + 0.715231i \(0.253679\pi\)
−0.698888 + 0.715231i \(0.746321\pi\)
\(692\) −1.79175e23 + 3.47189e23i −0.129532 + 0.250994i
\(693\) 4.64642e24i 3.31807i
\(694\) −5.26408e23 + 2.16787e24i −0.371336 + 1.52925i
\(695\) 6.67066e23 0.464834
\(696\) −3.29184e23 2.85608e23i −0.226600 0.196604i
\(697\) 3.15923e22 0.0214834
\(698\) 4.90269e23 2.01904e24i 0.329354 1.35636i
\(699\) 3.57807e24i 2.37461i
\(700\) 1.43087e24 + 7.38437e23i 0.938138 + 0.484150i
\(701\) 2.08668e24i 1.35162i −0.737078 0.675808i \(-0.763795\pi\)
0.737078 0.675808i \(-0.236205\pi\)
\(702\) −3.43858e24 8.34967e23i −2.20046 0.534323i
\(703\) −1.37177e23 −0.0867281
\(704\) 1.35128e24 1.92522e23i 0.844068 0.120258i
\(705\) 1.58215e24 0.976426
\(706\) −2.58772e24 6.28358e23i −1.57789 0.383149i
\(707\) 1.59773e24i 0.962583i
\(708\) 2.11557e24 + 1.09179e24i 1.25934 + 0.649916i
\(709\) 1.76067e24i 1.03558i 0.855508 + 0.517790i \(0.173245\pi\)
−0.855508 + 0.517790i \(0.826755\pi\)
\(710\) −2.18647e23 + 9.00438e23i −0.127071 + 0.523308i
\(711\) 6.64905e24 3.81828
\(712\) −3.93666e23 3.41554e23i −0.223382 0.193811i
\(713\) −4.99866e23 −0.280280
\(714\) 2.26993e23 9.34808e23i 0.125770 0.517950i
\(715\) 6.00027e23i 0.328526i
\(716\) 2.40652e23 4.66312e23i 0.130205 0.252299i
\(717\) 4.77023e24i 2.55051i
\(718\) −4.85682e23 1.17935e23i −0.256622 0.0623137i
\(719\) −3.64140e24 −1.90140 −0.950698 0.310118i \(-0.899631\pi\)
−0.950698 + 0.310118i \(0.899631\pi\)
\(720\) 2.22153e24 1.57909e24i 1.14637 0.814857i
\(721\) −4.31555e24 −2.20083
\(722\) 1.91656e24 + 4.65384e23i 0.965953 + 0.234555i
\(723\) 3.59355e23i 0.178998i
\(724\) −1.37319e24 + 2.66084e24i −0.676010 + 1.30991i
\(725\) 2.31473e23i 0.112623i
\(726\) −2.55679e23 + 1.05294e24i −0.122951 + 0.506342i
\(727\) 2.16795e24 1.03040 0.515201 0.857069i \(-0.327717\pi\)
0.515201 + 0.857069i \(0.327717\pi\)
\(728\) 1.48740e24 1.71434e24i 0.698734 0.805341i
\(729\) −6.08522e24 −2.82548
\(730\) −5.85850e22 + 2.41266e23i −0.0268870 + 0.110727i
\(731\) 2.18093e23i 0.0989338i
\(732\) −1.00673e24 5.19548e23i −0.451407 0.232960i
\(733\) 2.91223e24i 1.29075i 0.763866 + 0.645375i \(0.223299\pi\)
−0.763866 + 0.645375i \(0.776701\pi\)
\(734\) 3.22935e24 + 7.84161e23i 1.41481 + 0.343549i
\(735\) −2.75094e24 −1.19135
\(736\) −3.00285e23 7.52398e23i −0.128550 0.322096i
\(737\) 3.16575e24 1.33969
\(738\) 6.95250e23 + 1.68823e23i 0.290845 + 0.0706239i
\(739\) 2.56079e23i 0.105900i 0.998597 + 0.0529500i \(0.0168624\pi\)
−0.998597 + 0.0529500i \(0.983138\pi\)
\(740\) 1.29880e24 + 6.70278e23i 0.530973 + 0.274022i
\(741\) 2.64045e23i 0.106715i
\(742\) −1.23927e24 + 5.10359e24i −0.495145 + 2.03912i
\(743\) −1.24281e24 −0.490907 −0.245453 0.969408i \(-0.578937\pi\)
−0.245453 + 0.969408i \(0.578937\pi\)
\(744\) −2.58781e24 + 2.98264e24i −1.01056 + 1.16475i
\(745\) −1.36117e24 −0.525514
\(746\) 3.14868e23 1.29670e24i 0.120184 0.494947i
\(747\) 1.14780e25i 4.33152i
\(748\) −1.98626e23 + 3.84877e23i −0.0741091 + 0.143601i
\(749\) 1.24342e24i 0.458692i
\(750\) −4.64721e24 1.12845e24i −1.69501 0.411587i
\(751\) 4.22804e24 1.52475 0.762376 0.647134i \(-0.224032\pi\)
0.762376 + 0.647134i \(0.224032\pi\)
\(752\) −1.56106e24 2.19616e24i −0.556631 0.783090i
\(753\) 1.11397e24 0.392751
\(754\) 3.17063e23 + 7.69901e22i 0.110532 + 0.0268397i
\(755\) 1.57648e24i 0.543425i
\(756\) 6.20718e24 1.20277e25i 2.11572 4.09964i
\(757\) 1.18946e24i 0.400899i 0.979704 + 0.200449i \(0.0642402\pi\)
−0.979704 + 0.200449i \(0.935760\pi\)
\(758\) 7.83846e23 3.22806e24i 0.261242 1.07585i
\(759\) −1.71182e24 −0.564162
\(760\) 9.54433e22 + 8.28090e22i 0.0311050 + 0.0269874i
\(761\) −5.41223e24 −1.74424 −0.872120 0.489291i \(-0.837255\pi\)
−0.872120 + 0.489291i \(0.837255\pi\)
\(762\) −9.81259e23 + 4.04105e24i −0.312728 + 1.28788i
\(763\) 8.27041e24i 2.60656i
\(764\) 3.55915e24 + 1.83679e24i 1.10931 + 0.572487i
\(765\) 8.64857e23i 0.266577i
\(766\) −2.54499e24 6.17982e23i −0.775785 0.188378i
\(767\) −1.78232e24 −0.537309
\(768\) −6.04405e24 2.10340e24i −1.80201 − </