Properties

Label 14.14.c.b.11.3
Level $14$
Weight $14$
Character 14.11
Analytic conductor $15.012$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 14 = 2 \cdot 7 \)
Weight: \( k \) \(=\) \( 14 \)
Character orbit: \([\chi]\) \(=\) 14.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(15.0123300533\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{8} + \cdots)\)
Defining polynomial: \(x^{8} + 209077 x^{6} - 47718852 x^{5} + 40973427094 x^{4} - 4988457209802 x^{3} + 1142094021456771 x^{2} + 65369216338084710 x + 7506311351102577225\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{14}\cdot 3\cdot 7^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 11.3
Root \(169.399 - 293.408i\) of defining polynomial
Character \(\chi\) \(=\) 14.11
Dual form 14.14.c.b.9.3

$q$-expansion

\(f(q)\) \(=\) \(q+(32.0000 + 55.4256i) q^{2} +(194.343 - 336.611i) q^{3} +(-2048.00 + 3547.24i) q^{4} +(-12951.1 - 22432.0i) q^{5} +24875.9 q^{6} +(286520. + 121636. i) q^{7} -262144. q^{8} +(721623. + 1.24989e6i) q^{9} +O(q^{10})\) \(q+(32.0000 + 55.4256i) q^{2} +(194.343 - 336.611i) q^{3} +(-2048.00 + 3547.24i) q^{4} +(-12951.1 - 22432.0i) q^{5} +24875.9 q^{6} +(286520. + 121636. i) q^{7} -262144. q^{8} +(721623. + 1.24989e6i) q^{9} +(828871. - 1.43565e6i) q^{10} +(112686. - 195179. i) q^{11} +(796028. + 1.37876e6i) q^{12} +2.48426e7 q^{13} +(2.42691e6 + 1.97729e7i) q^{14} -1.00678e7 q^{15} +(-8.38861e6 - 1.45295e7i) q^{16} +(-6.10156e7 + 1.05682e8i) q^{17} +(-4.61839e7 + 7.99928e7i) q^{18} +(1.07218e8 + 1.85707e8i) q^{19} +1.06095e8 q^{20} +(9.66271e7 - 7.28069e7i) q^{21} +1.44239e7 q^{22} +(4.90873e8 + 8.50217e8i) q^{23} +(-5.09458e7 + 8.82407e7i) q^{24} +(2.74889e8 - 4.76122e8i) q^{25} +(7.94964e8 + 1.37692e9i) q^{26} +1.18066e9 q^{27} +(-1.01826e9 + 7.67246e8i) q^{28} -2.47347e9 q^{29} +(-3.22170e8 - 5.58015e8i) q^{30} +(2.44134e9 - 4.22852e9i) q^{31} +(5.36871e8 - 9.29888e8i) q^{32} +(-4.37995e7 - 7.58630e7i) q^{33} -7.81000e9 q^{34} +(-9.82222e8 - 8.00253e9i) q^{35} -5.91154e9 q^{36} +(-1.35052e10 - 2.33916e10i) q^{37} +(-6.86195e9 + 1.18852e10i) q^{38} +(4.82798e9 - 8.36231e9i) q^{39} +(3.39505e9 + 5.88041e9i) q^{40} +3.27287e10 q^{41} +(7.12743e9 + 3.02579e9i) q^{42} -5.78165e9 q^{43} +(4.61563e8 + 7.99451e8i) q^{44} +(1.86916e10 - 3.23749e10i) q^{45} +(-3.14159e10 + 5.44139e10i) q^{46} +(-7.58491e9 - 1.31374e10i) q^{47} -6.52106e9 q^{48} +(6.72985e10 + 6.97022e10i) q^{49} +3.51858e10 q^{50} +(2.37159e10 + 4.10771e10i) q^{51} +(-5.08777e10 + 8.81227e10i) q^{52} +(-1.96629e10 + 3.40572e10i) q^{53} +(3.77811e10 + 6.54388e10i) q^{54} -5.83765e9 q^{55} +(-7.51095e10 - 3.18861e10i) q^{56} +8.33481e10 q^{57} +(-7.91512e10 - 1.37094e11i) q^{58} +(-7.22471e10 + 1.25136e11i) q^{59} +(2.06189e10 - 3.57129e10i) q^{60} +(-7.88811e10 - 1.36626e11i) q^{61} +3.12491e11 q^{62} +(5.47285e10 + 4.45893e11i) q^{63} +6.87195e10 q^{64} +(-3.21739e11 - 5.57269e11i) q^{65} +(2.80317e9 - 4.85523e9i) q^{66} +(3.83607e11 - 6.64427e11i) q^{67} +(-2.49920e11 - 4.32874e11i) q^{68} +3.81590e11 q^{69} +(4.12114e11 - 3.10521e11i) q^{70} -1.73373e12 q^{71} +(-1.89169e11 - 3.27651e11i) q^{72} +(-7.94503e11 + 1.37612e12i) q^{73} +(8.64330e11 - 1.49706e12i) q^{74} +(-1.06846e11 - 1.85062e11i) q^{75} -8.78329e11 q^{76} +(5.60276e10 - 4.22159e10i) q^{77} +6.17982e11 q^{78} +(1.43158e11 + 2.47957e11i) q^{79} +(-2.17283e11 + 3.76346e11i) q^{80} +(-9.21048e11 + 1.59530e12i) q^{81} +(1.04732e12 + 1.81401e12i) q^{82} -9.41428e10 q^{83} +(6.03714e10 + 4.91868e11i) q^{84} +3.16088e12 q^{85} +(-1.85013e11 - 3.20451e11i) q^{86} +(-4.80702e11 + 8.32600e11i) q^{87} +(-2.95401e10 + 5.11649e10i) q^{88} +(1.97510e12 + 3.42097e12i) q^{89} +2.39253e12 q^{90} +(7.11791e12 + 3.02175e12i) q^{91} -4.02123e12 q^{92} +(-9.48913e11 - 1.64357e12i) q^{93} +(4.85434e11 - 8.40797e11i) q^{94} +(2.77718e12 - 4.81022e12i) q^{95} +(-2.08674e11 - 3.61434e11i) q^{96} -1.04397e13 q^{97} +(-1.70973e12 + 5.96053e12i) q^{98} +3.25268e11 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q + 256q^{2} + 182q^{3} - 16384q^{4} + 1792q^{5} + 23296q^{6} - 268352q^{7} - 2097152q^{8} + 599840q^{9} + O(q^{10}) \) \( 8q + 256q^{2} + 182q^{3} - 16384q^{4} + 1792q^{5} + 23296q^{6} - 268352q^{7} - 2097152q^{8} + 599840q^{9} - 114688q^{10} - 8726914q^{11} + 745472q^{12} + 1438416q^{13} + 27004544q^{14} - 136873212q^{15} - 67108864q^{16} - 7943068q^{17} - 38389760q^{18} - 215706806q^{19} - 14680064q^{20} - 414124312q^{21} - 1117044992q^{22} - 61927978q^{23} - 47710208q^{24} - 1327844792q^{25} + 46029312q^{26} - 3268643812q^{27} + 2827460608q^{28} - 6325846064q^{29} - 4379942784q^{30} + 6113775570q^{31} + 4294967296q^{32} + 25235960652q^{33} - 1016712704q^{34} + 41542225382q^{35} - 4913889280q^{36} - 3945652880q^{37} + 13805235584q^{38} - 23545599116q^{39} - 469762048q^{40} + 86378579952q^{41} + 16061065216q^{42} - 109074124256q^{43} - 35745439744q^{44} - 104964468168q^{45} + 3963390592q^{46} - 3141202722q^{47} - 6106906624q^{48} + 151080461672q^{49} - 169964133376q^{50} - 241278267462q^{51} - 2945875968q^{52} + 149625680376q^{53} - 104596601984q^{54} + 174912009748q^{55} + 70346866688q^{56} - 128207489960q^{57} - 202427074048q^{58} - 866297313938q^{59} + 280316338176q^{60} - 477908594184q^{61} + 782563272960q^{62} + 953051390564q^{63} + 549755813888q^{64} - 1099748343120q^{65} - 1615101481728q^{66} + 1895501016278q^{67} - 32534806528q^{68} + 3503301895632q^{69} + 1443396653440q^{70} + 638832672128q^{71} - 157244456960q^{72} - 2966596192756q^{73} + 252521784320q^{74} - 1331079867376q^{75} + 1767070154752q^{76} + 6943031627392q^{77} - 3013836686848q^{78} - 6505959677634q^{79} + 30064771072q^{80} + 2449216493684q^{81} + 2764114558464q^{82} - 3379817135968q^{83} + 2724161355776q^{84} - 16684556982464q^{85} - 3490371976192q^{86} - 5273311164492q^{87} + 2287708143616q^{88} + 9586601667468q^{89} - 13435451925504q^{90} + 16069253407200q^{91} + 507313995776q^{92} - 14195747226896q^{93} + 201036974208q^{94} + 14384410136978q^{95} - 195421011968q^{96} - 44560735311568q^{97} - 2146516623104q^{98} + 24706419985464q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 32.0000 + 55.4256i 0.353553 + 0.612372i
\(3\) 194.343 336.611i 0.153915 0.266588i −0.778749 0.627336i \(-0.784145\pi\)
0.932663 + 0.360748i \(0.117479\pi\)
\(4\) −2048.00 + 3547.24i −0.250000 + 0.433013i
\(5\) −12951.1 22432.0i −0.370682 0.642040i 0.618988 0.785400i \(-0.287543\pi\)
−0.989671 + 0.143360i \(0.954209\pi\)
\(6\) 24875.9 0.217668
\(7\) 286520. + 121636.i 0.920487 + 0.390772i
\(8\) −262144. −0.353553
\(9\) 721623. + 1.24989e6i 0.452621 + 0.783962i
\(10\) 828871. 1.43565e6i 0.262112 0.453991i
\(11\) 112686. 195179.i 0.0191787 0.0332185i −0.856277 0.516517i \(-0.827228\pi\)
0.875455 + 0.483299i \(0.160562\pi\)
\(12\) 796028. + 1.37876e6i 0.0769573 + 0.133294i
\(13\) 2.48426e7 1.42747 0.713733 0.700418i \(-0.247003\pi\)
0.713733 + 0.700418i \(0.247003\pi\)
\(14\) 2.42691e6 + 1.97729e7i 0.0861431 + 0.701840i
\(15\) −1.00678e7 −0.228214
\(16\) −8.38861e6 1.45295e7i −0.125000 0.216506i
\(17\) −6.10156e7 + 1.05682e8i −0.613088 + 1.06190i 0.377628 + 0.925957i \(0.376740\pi\)
−0.990717 + 0.135943i \(0.956594\pi\)
\(18\) −4.61839e7 + 7.99928e7i −0.320051 + 0.554345i
\(19\) 1.07218e8 + 1.85707e8i 0.522840 + 0.905586i 0.999647 + 0.0265777i \(0.00846095\pi\)
−0.476806 + 0.879008i \(0.658206\pi\)
\(20\) 1.06095e8 0.370682
\(21\) 9.66271e7 7.28069e7i 0.245852 0.185245i
\(22\) 1.44239e7 0.0271228
\(23\) 4.90873e8 + 8.50217e8i 0.691414 + 1.19756i 0.971375 + 0.237553i \(0.0763453\pi\)
−0.279960 + 0.960012i \(0.590321\pi\)
\(24\) −5.09458e7 + 8.82407e7i −0.0544171 + 0.0942531i
\(25\) 2.74889e8 4.76122e8i 0.225189 0.390040i
\(26\) 7.94964e8 + 1.37692e9i 0.504685 + 0.874140i
\(27\) 1.18066e9 0.586489
\(28\) −1.01826e9 + 7.67246e8i −0.399331 + 0.300890i
\(29\) −2.47347e9 −0.772183 −0.386092 0.922460i \(-0.626175\pi\)
−0.386092 + 0.922460i \(0.626175\pi\)
\(30\) −3.22170e8 5.58015e8i −0.0806857 0.139752i
\(31\) 2.44134e9 4.22852e9i 0.494057 0.855732i −0.505919 0.862581i \(-0.668847\pi\)
0.999977 + 0.00684873i \(0.00218004\pi\)
\(32\) 5.36871e8 9.29888e8i 0.0883883 0.153093i
\(33\) −4.37995e7 7.58630e7i −0.00590376 0.0102256i
\(34\) −7.81000e9 −0.867038
\(35\) −9.82222e8 8.00253e9i −0.0903165 0.735842i
\(36\) −5.91154e9 −0.452621
\(37\) −1.35052e10 2.33916e10i −0.865343 1.49882i −0.866706 0.498819i \(-0.833767\pi\)
0.00136270 0.999999i \(-0.499566\pi\)
\(38\) −6.86195e9 + 1.18852e10i −0.369704 + 0.640346i
\(39\) 4.82798e9 8.36231e9i 0.219708 0.380545i
\(40\) 3.39505e9 + 5.88041e9i 0.131056 + 0.226996i
\(41\) 3.27287e10 1.07605 0.538026 0.842928i \(-0.319170\pi\)
0.538026 + 0.842928i \(0.319170\pi\)
\(42\) 7.12743e9 + 3.02579e9i 0.200361 + 0.0850588i
\(43\) −5.78165e9 −0.139478 −0.0697392 0.997565i \(-0.522217\pi\)
−0.0697392 + 0.997565i \(0.522217\pi\)
\(44\) 4.61563e8 + 7.99451e8i 0.00958935 + 0.0166092i
\(45\) 1.86916e10 3.23749e10i 0.335557 0.581201i
\(46\) −3.14159e10 + 5.44139e10i −0.488904 + 0.846806i
\(47\) −7.58491e9 1.31374e10i −0.102639 0.177777i 0.810132 0.586248i \(-0.199395\pi\)
−0.912771 + 0.408471i \(0.866062\pi\)
\(48\) −6.52106e9 −0.0769573
\(49\) 6.72985e10 + 6.97022e10i 0.694594 + 0.719402i
\(50\) 3.51858e10 0.318466
\(51\) 2.37159e10 + 4.10771e10i 0.188727 + 0.326884i
\(52\) −5.08777e10 + 8.81227e10i −0.356866 + 0.618111i
\(53\) −1.96629e10 + 3.40572e10i −0.121858 + 0.211065i −0.920500 0.390741i \(-0.872219\pi\)
0.798642 + 0.601806i \(0.205552\pi\)
\(54\) 3.77811e10 + 6.54388e10i 0.207355 + 0.359150i
\(55\) −5.83765e9 −0.0284368
\(56\) −7.51095e10 3.18861e10i −0.325441 0.138159i
\(57\) 8.33481e10 0.321891
\(58\) −7.91512e10 1.37094e11i −0.273008 0.472864i
\(59\) −7.22471e10 + 1.25136e11i −0.222989 + 0.386228i −0.955714 0.294297i \(-0.904915\pi\)
0.732726 + 0.680524i \(0.238248\pi\)
\(60\) 2.06189e10 3.57129e10i 0.0570534 0.0988194i
\(61\) −7.88811e10 1.36626e11i −0.196033 0.339539i 0.751206 0.660068i \(-0.229473\pi\)
−0.947239 + 0.320529i \(0.896139\pi\)
\(62\) 3.12491e11 0.698702
\(63\) 5.47285e10 + 4.45893e11i 0.110281 + 0.898498i
\(64\) 6.87195e10 0.125000
\(65\) −3.21739e11 5.57269e11i −0.529136 0.916490i
\(66\) 2.80317e9 4.85523e9i 0.00417459 0.00723061i
\(67\) 3.83607e11 6.64427e11i 0.518084 0.897348i −0.481695 0.876339i \(-0.659979\pi\)
0.999779 0.0210092i \(-0.00668793\pi\)
\(68\) −2.49920e11 4.32874e11i −0.306544 0.530950i
\(69\) 3.81590e11 0.425675
\(70\) 4.12114e11 3.10521e11i 0.418678 0.315467i
\(71\) −1.73373e12 −1.60621 −0.803106 0.595836i \(-0.796821\pi\)
−0.803106 + 0.595836i \(0.796821\pi\)
\(72\) −1.89169e11 3.27651e11i −0.160026 0.277172i
\(73\) −7.94503e11 + 1.37612e12i −0.614464 + 1.06428i 0.376014 + 0.926614i \(0.377295\pi\)
−0.990478 + 0.137670i \(0.956039\pi\)
\(74\) 8.64330e11 1.49706e12i 0.611890 1.05982i
\(75\) −1.06846e11 1.85062e11i −0.0693199 0.120066i
\(76\) −8.78329e11 −0.522840
\(77\) 5.60276e10 4.22159e10i 0.0306346 0.0230827i
\(78\) 6.17982e11 0.310714
\(79\) 1.43158e11 + 2.47957e11i 0.0662581 + 0.114762i 0.897251 0.441520i \(-0.145561\pi\)
−0.830993 + 0.556282i \(0.812227\pi\)
\(80\) −2.17283e11 + 3.76346e11i −0.0926705 + 0.160510i
\(81\) −9.21048e11 + 1.59530e12i −0.362351 + 0.627611i
\(82\) 1.04732e12 + 1.81401e12i 0.380442 + 0.658945i
\(83\) −9.41428e10 −0.0316067 −0.0158034 0.999875i \(-0.505031\pi\)
−0.0158034 + 0.999875i \(0.505031\pi\)
\(84\) 6.03714e10 + 4.91868e11i 0.0187506 + 0.152768i
\(85\) 3.16088e12 0.909044
\(86\) −1.85013e11 3.20451e11i −0.0493130 0.0854127i
\(87\) −4.80702e11 + 8.32600e11i −0.118850 + 0.205855i
\(88\) −2.95401e10 + 5.11649e10i −0.00678069 + 0.0117445i
\(89\) 1.97510e12 + 3.42097e12i 0.421263 + 0.729649i 0.996063 0.0886446i \(-0.0282535\pi\)
−0.574800 + 0.818294i \(0.694920\pi\)
\(90\) 2.39253e12 0.474549
\(91\) 7.11791e12 + 3.02175e12i 1.31396 + 0.557814i
\(92\) −4.02123e12 −0.691414
\(93\) −9.48913e11 1.64357e12i −0.152085 0.263419i
\(94\) 4.85434e11 8.40797e11i 0.0725770 0.125707i
\(95\) 2.77718e12 4.81022e12i 0.387615 0.671369i
\(96\) −2.08674e11 3.61434e11i −0.0272085 0.0471266i
\(97\) −1.04397e13 −1.27255 −0.636273 0.771464i \(-0.719525\pi\)
−0.636273 + 0.771464i \(0.719525\pi\)
\(98\) −1.70973e12 + 5.96053e12i −0.194966 + 0.679697i
\(99\) 3.25268e11 0.0347227
\(100\) 1.12595e12 + 1.95020e12i 0.112595 + 0.195020i
\(101\) 2.77005e12 4.79786e12i 0.259656 0.449737i −0.706494 0.707719i \(-0.749724\pi\)
0.966150 + 0.257982i \(0.0830575\pi\)
\(102\) −1.51782e12 + 2.62893e12i −0.133450 + 0.231142i
\(103\) −3.92001e12 6.78965e12i −0.323478 0.560280i 0.657725 0.753258i \(-0.271519\pi\)
−0.981203 + 0.192978i \(0.938186\pi\)
\(104\) −6.51234e12 −0.504685
\(105\) −2.88463e12 1.22461e12i −0.210068 0.0891796i
\(106\) −2.51685e12 −0.172334
\(107\) −1.23014e13 2.13067e13i −0.792428 1.37253i −0.924459 0.381281i \(-0.875483\pi\)
0.132031 0.991246i \(-0.457850\pi\)
\(108\) −2.41799e12 + 4.18808e12i −0.146622 + 0.253957i
\(109\) 7.38013e12 1.27828e13i 0.421494 0.730050i −0.574592 0.818440i \(-0.694839\pi\)
0.996086 + 0.0883908i \(0.0281724\pi\)
\(110\) −1.86805e11 3.23555e11i −0.0100539 0.0174139i
\(111\) −1.04985e13 −0.532756
\(112\) −6.36199e11 5.18335e12i −0.0304562 0.248138i
\(113\) 2.71313e13 1.22592 0.612958 0.790116i \(-0.289980\pi\)
0.612958 + 0.790116i \(0.289980\pi\)
\(114\) 2.66714e12 + 4.61962e12i 0.113806 + 0.197117i
\(115\) 1.27147e13 2.20225e13i 0.512590 0.887832i
\(116\) 5.06568e12 8.77401e12i 0.193046 0.334365i
\(117\) 1.79270e13 + 3.10505e13i 0.646100 + 1.11908i
\(118\) −9.24763e12 −0.315353
\(119\) −3.03369e13 + 2.28584e13i −0.979301 + 0.737887i
\(120\) 2.63922e12 0.0806857
\(121\) 1.72360e13 + 2.98536e13i 0.499264 + 0.864751i
\(122\) 5.04839e12 8.74407e12i 0.138616 0.240090i
\(123\) 6.36058e12 1.10168e13i 0.165620 0.286863i
\(124\) 9.99973e12 + 1.73200e13i 0.247029 + 0.427866i
\(125\) −4.58594e13 −1.07526
\(126\) −2.29626e13 + 1.73019e13i −0.511226 + 0.385200i
\(127\) 1.57018e13 0.332066 0.166033 0.986120i \(-0.446904\pi\)
0.166033 + 0.986120i \(0.446904\pi\)
\(128\) 2.19902e12 + 3.80882e12i 0.0441942 + 0.0765466i
\(129\) −1.12362e12 + 1.94617e12i −0.0214678 + 0.0371833i
\(130\) 2.05913e13 3.56652e13i 0.374156 0.648057i
\(131\) 2.60523e13 + 4.51239e13i 0.450384 + 0.780088i 0.998410 0.0563735i \(-0.0179538\pi\)
−0.548026 + 0.836461i \(0.684620\pi\)
\(132\) 3.58806e11 0.00590376
\(133\) 8.13149e12 + 6.62503e13i 0.127390 + 1.03789i
\(134\) 4.91017e13 0.732682
\(135\) −1.52908e13 2.64845e13i −0.217401 0.376550i
\(136\) 1.59949e13 2.77039e13i 0.216759 0.375438i
\(137\) −8.94650e12 + 1.54958e13i −0.115603 + 0.200230i −0.918021 0.396532i \(-0.870213\pi\)
0.802418 + 0.596763i \(0.203547\pi\)
\(138\) 1.22109e13 + 2.11499e13i 0.150499 + 0.260672i
\(139\) −1.18769e14 −1.39671 −0.698357 0.715750i \(-0.746085\pi\)
−0.698357 + 0.715750i \(0.746085\pi\)
\(140\) 3.03985e13 + 1.29050e13i 0.341208 + 0.144852i
\(141\) −5.89629e12 −0.0631909
\(142\) −5.54794e13 9.60932e13i −0.567882 0.983600i
\(143\) 2.79942e12 4.84875e12i 0.0273769 0.0474182i
\(144\) 1.21068e13 2.09696e13i 0.113155 0.195990i
\(145\) 3.20342e13 + 5.54849e13i 0.286235 + 0.495773i
\(146\) −1.01696e14 −0.868984
\(147\) 3.65415e13 9.10734e12i 0.298692 0.0744438i
\(148\) 1.10634e14 0.865343
\(149\) 3.24664e13 + 5.62335e13i 0.243066 + 0.421002i 0.961586 0.274504i \(-0.0885136\pi\)
−0.718520 + 0.695506i \(0.755180\pi\)
\(150\) 6.83811e12 1.18440e13i 0.0490166 0.0848992i
\(151\) 1.20776e14 2.09190e14i 0.829146 1.43612i −0.0695638 0.997578i \(-0.522161\pi\)
0.898709 0.438545i \(-0.144506\pi\)
\(152\) −2.81065e13 4.86820e13i −0.184852 0.320173i
\(153\) −1.76121e14 −1.10999
\(154\) 4.13272e12 + 1.75446e12i 0.0249662 + 0.0105988i
\(155\) −1.26472e14 −0.732553
\(156\) 1.97754e13 + 3.42520e13i 0.109854 + 0.190273i
\(157\) 1.63368e14 2.82962e14i 0.870602 1.50793i 0.00922666 0.999957i \(-0.497063\pi\)
0.861375 0.507969i \(-0.169604\pi\)
\(158\) −9.16210e12 + 1.58692e13i −0.0468515 + 0.0811492i
\(159\) 7.64269e12 + 1.32375e13i 0.0375116 + 0.0649719i
\(160\) −2.78123e13 −0.131056
\(161\) 3.72282e13 + 3.03312e14i 0.168463 + 1.37253i
\(162\) −1.17894e14 −0.512442
\(163\) −2.34683e14 4.06484e14i −0.980084 1.69755i −0.662022 0.749484i \(-0.730301\pi\)
−0.318062 0.948070i \(-0.603032\pi\)
\(164\) −6.70283e13 + 1.16096e14i −0.269013 + 0.465944i
\(165\) −1.13450e12 + 1.96502e12i −0.00437684 + 0.00758091i
\(166\) −3.01257e12 5.21792e12i −0.0111747 0.0193551i
\(167\) −1.79618e14 −0.640755 −0.320378 0.947290i \(-0.603810\pi\)
−0.320378 + 0.947290i \(0.603810\pi\)
\(168\) −2.53302e13 + 1.90859e13i −0.0869217 + 0.0654941i
\(169\) 3.14281e14 1.03766
\(170\) 1.01148e14 + 1.75194e14i 0.321395 + 0.556673i
\(171\) −1.54742e14 + 2.68021e14i −0.473297 + 0.819774i
\(172\) 1.18408e13 2.05089e13i 0.0348696 0.0603959i
\(173\) 2.91089e14 + 5.04181e14i 0.825517 + 1.42984i 0.901524 + 0.432730i \(0.142450\pi\)
−0.0760066 + 0.997107i \(0.524217\pi\)
\(174\) −6.15298e13 −0.168080
\(175\) 1.36675e14 1.02982e14i 0.359701 0.271029i
\(176\) −3.78113e12 −0.00958935
\(177\) 2.80814e13 + 4.86384e13i 0.0686424 + 0.118892i
\(178\) −1.26406e14 + 2.18942e14i −0.297878 + 0.515940i
\(179\) 4.21250e14 7.29626e14i 0.957183 1.65789i 0.227893 0.973686i \(-0.426816\pi\)
0.729291 0.684204i \(-0.239850\pi\)
\(180\) 7.65609e13 + 1.32607e14i 0.167778 + 0.290601i
\(181\) 3.09169e14 0.653559 0.326779 0.945101i \(-0.394037\pi\)
0.326779 + 0.945101i \(0.394037\pi\)
\(182\) 6.02907e13 + 4.91211e14i 0.122966 + 1.00185i
\(183\) −6.13199e13 −0.120689
\(184\) −1.28679e14 2.22879e14i −0.244452 0.423403i
\(185\) −3.49813e14 + 6.05894e14i −0.641535 + 1.11117i
\(186\) 6.07304e13 1.05188e14i 0.107541 0.186266i
\(187\) 1.37513e13 + 2.38179e13i 0.0235165 + 0.0407317i
\(188\) 6.21356e13 0.102639
\(189\) 3.38282e14 + 1.43610e14i 0.539856 + 0.229184i
\(190\) 3.55479e14 0.548171
\(191\) −8.69780e13 1.50650e14i −0.129626 0.224519i 0.793906 0.608041i \(-0.208044\pi\)
−0.923532 + 0.383522i \(0.874711\pi\)
\(192\) 1.33551e13 2.31318e13i 0.0192393 0.0333235i
\(193\) −2.69358e13 + 4.66541e13i −0.0375152 + 0.0649782i −0.884173 0.467159i \(-0.845278\pi\)
0.846658 + 0.532137i \(0.178611\pi\)
\(194\) −3.34072e14 5.78629e14i −0.449913 0.779272i
\(195\) −2.50111e14 −0.325767
\(196\) −3.85078e14 + 9.59739e13i −0.485159 + 0.120917i
\(197\) −6.06639e14 −0.739435 −0.369717 0.929144i \(-0.620545\pi\)
−0.369717 + 0.929144i \(0.620545\pi\)
\(198\) 1.04086e13 + 1.80282e13i 0.0122763 + 0.0212632i
\(199\) 5.79250e14 1.00329e15i 0.661182 1.14520i −0.319123 0.947713i \(-0.603388\pi\)
0.980305 0.197488i \(-0.0632783\pi\)
\(200\) −7.20606e13 + 1.24813e14i −0.0796165 + 0.137900i
\(201\) −1.49102e14 2.58253e14i −0.159482 0.276230i
\(202\) 3.54566e14 0.367209
\(203\) −7.08700e14 3.00863e14i −0.710785 0.301748i
\(204\) −1.94280e14 −0.188727
\(205\) −4.23872e14 7.34168e14i −0.398873 0.690869i
\(206\) 2.50880e14 4.34538e14i 0.228734 0.396178i
\(207\) −7.08451e14 + 1.22707e15i −0.625897 + 1.08408i
\(208\) −2.08395e14 3.60951e14i −0.178433 0.309055i
\(209\) 4.83280e13 0.0401096
\(210\) −2.44336e13 1.99070e14i −0.0196590 0.160170i
\(211\) −3.58373e14 −0.279576 −0.139788 0.990181i \(-0.544642\pi\)
−0.139788 + 0.990181i \(0.544642\pi\)
\(212\) −8.05394e13 1.39498e14i −0.0609291 0.105532i
\(213\) −3.36938e14 + 5.83594e14i −0.247220 + 0.428197i
\(214\) 7.87290e14 1.36363e15i 0.560332 0.970523i
\(215\) 7.48787e13 + 1.29694e14i 0.0517021 + 0.0895507i
\(216\) −3.09503e14 −0.207355
\(217\) 1.21383e15 9.14603e14i 0.789170 0.594627i
\(218\) 9.44656e14 0.596083
\(219\) 3.08812e14 + 5.34877e14i 0.189150 + 0.327618i
\(220\) 1.19555e13 2.07076e13i 0.00710920 0.0123135i
\(221\) −1.51579e15 + 2.62542e15i −0.875162 + 1.51583i
\(222\) −3.35952e14 5.81887e14i −0.188358 0.326245i
\(223\) 6.64312e14 0.361735 0.180868 0.983507i \(-0.442109\pi\)
0.180868 + 0.983507i \(0.442109\pi\)
\(224\) 2.66932e14 2.01129e14i 0.141185 0.106381i
\(225\) 7.93467e14 0.407701
\(226\) 8.68201e14 + 1.50377e15i 0.433427 + 0.750717i
\(227\) 7.05542e14 1.22204e15i 0.342259 0.592810i −0.642593 0.766208i \(-0.722141\pi\)
0.984852 + 0.173398i \(0.0554746\pi\)
\(228\) −1.70697e14 + 2.95656e14i −0.0804728 + 0.139383i
\(229\) 6.36302e14 + 1.10211e15i 0.291563 + 0.505002i 0.974180 0.225775i \(-0.0724914\pi\)
−0.682616 + 0.730777i \(0.739158\pi\)
\(230\) 1.62748e15 0.724912
\(231\) −3.32179e12 2.70639e13i −0.00143845 0.0117196i
\(232\) 6.48406e14 0.273008
\(233\) 7.23704e14 + 1.25349e15i 0.296311 + 0.513226i 0.975289 0.220933i \(-0.0709102\pi\)
−0.678978 + 0.734159i \(0.737577\pi\)
\(234\) −1.14733e15 + 1.98723e15i −0.456862 + 0.791308i
\(235\) −1.96466e14 + 3.40289e14i −0.0760932 + 0.131797i
\(236\) −2.95924e14 5.12556e14i −0.111494 0.193114i
\(237\) 1.11287e14 0.0407924
\(238\) −2.23772e15 9.49975e14i −0.798097 0.338814i
\(239\) −5.51666e15 −1.91465 −0.957326 0.289009i \(-0.906674\pi\)
−0.957326 + 0.289009i \(0.906674\pi\)
\(240\) 8.44549e13 + 1.46280e14i 0.0285267 + 0.0494097i
\(241\) 1.09772e15 1.90131e15i 0.360896 0.625090i −0.627213 0.778848i \(-0.715804\pi\)
0.988109 + 0.153758i \(0.0491377\pi\)
\(242\) −1.10310e15 + 1.91063e15i −0.353033 + 0.611471i
\(243\) 1.29917e15 + 2.25024e15i 0.404787 + 0.701112i
\(244\) 6.46194e14 0.196033
\(245\) 6.91967e14 2.41236e15i 0.204412 0.712627i
\(246\) 8.14154e14 0.234222
\(247\) 2.66357e15 + 4.61345e15i 0.746337 + 1.29269i
\(248\) −6.39982e14 + 1.10848e15i −0.174676 + 0.302547i
\(249\) −1.82960e13 + 3.16895e13i −0.00486474 + 0.00842598i
\(250\) −1.46750e15 2.54179e15i −0.380162 0.658459i
\(251\) 3.18963e15 0.805120 0.402560 0.915394i \(-0.368120\pi\)
0.402560 + 0.915394i \(0.368120\pi\)
\(252\) −1.69377e15 7.19054e14i −0.416631 0.176872i
\(253\) 2.21259e14 0.0530417
\(254\) 5.02457e14 + 8.70282e14i 0.117403 + 0.203348i
\(255\) 6.14294e14 1.06399e15i 0.139915 0.242340i
\(256\) −1.40737e14 + 2.43764e14i −0.0312500 + 0.0541266i
\(257\) −3.76162e15 6.51531e15i −0.814346 1.41049i −0.909796 0.415055i \(-0.863762\pi\)
0.0954497 0.995434i \(-0.469571\pi\)
\(258\) −1.43824e14 −0.0303600
\(259\) −1.02424e15 8.34488e15i −0.210840 1.71780i
\(260\) 2.63569e15 0.529136
\(261\) −1.78492e15 3.09157e15i −0.349506 0.605362i
\(262\) −1.66735e15 + 2.88793e15i −0.318470 + 0.551605i
\(263\) −1.10895e15 + 1.92076e15i −0.206633 + 0.357899i −0.950652 0.310260i \(-0.899584\pi\)
0.744019 + 0.668159i \(0.232917\pi\)
\(264\) 1.14818e13 + 1.98870e13i 0.00208730 + 0.00361530i
\(265\) 1.01863e15 0.180683
\(266\) −3.41176e15 + 2.57070e15i −0.590537 + 0.444960i
\(267\) 1.53538e15 0.259354
\(268\) 1.57125e15 + 2.72149e15i 0.259042 + 0.448674i
\(269\) 3.94084e15 6.82573e15i 0.634160 1.09840i −0.352533 0.935799i \(-0.614680\pi\)
0.986693 0.162597i \(-0.0519871\pi\)
\(270\) 9.78613e14 1.69501e15i 0.153726 0.266261i
\(271\) 9.76507e13 + 1.69136e14i 0.0149753 + 0.0259379i 0.873416 0.486975i \(-0.161900\pi\)
−0.858441 + 0.512913i \(0.828566\pi\)
\(272\) 2.04734e15 0.306544
\(273\) 2.40047e15 1.80871e15i 0.350945 0.264431i
\(274\) −1.14515e15 −0.163488
\(275\) −6.19526e13 1.07305e14i −0.00863768 0.0149609i
\(276\) −7.81497e14 + 1.35359e15i −0.106419 + 0.184323i
\(277\) −5.24565e15 + 9.08573e15i −0.697719 + 1.20849i 0.271536 + 0.962428i \(0.412468\pi\)
−0.969255 + 0.246057i \(0.920865\pi\)
\(278\) −3.80061e15 6.58286e15i −0.493813 0.855309i
\(279\) 7.04691e15 0.894482
\(280\) 2.57484e14 + 2.09781e15i 0.0319317 + 0.260160i
\(281\) −1.40373e16 −1.70095 −0.850475 0.526016i \(-0.823685\pi\)
−0.850475 + 0.526016i \(0.823685\pi\)
\(282\) −1.88681e14 3.26805e14i −0.0223413 0.0386963i
\(283\) −5.71309e15 + 9.89535e15i −0.661087 + 1.14504i 0.319243 + 0.947673i \(0.396571\pi\)
−0.980330 + 0.197364i \(0.936762\pi\)
\(284\) 3.55068e15 6.14997e15i 0.401553 0.695510i
\(285\) −1.07945e15 1.86966e15i −0.119319 0.206667i
\(286\) 3.58326e14 0.0387168
\(287\) 9.37742e15 + 3.98098e15i 0.990492 + 0.420491i
\(288\) 1.54967e15 0.160026
\(289\) −2.49352e15 4.31891e15i −0.251754 0.436051i
\(290\) −2.05019e15 + 3.55103e15i −0.202398 + 0.350564i
\(291\) −2.02889e15 + 3.51414e15i −0.195864 + 0.339246i
\(292\) −3.25428e15 5.63658e15i −0.307232 0.532142i
\(293\) 5.81181e15 0.536626 0.268313 0.963332i \(-0.413534\pi\)
0.268313 + 0.963332i \(0.413534\pi\)
\(294\) 1.67411e15 + 1.73390e15i 0.151191 + 0.156591i
\(295\) 3.74272e15 0.330632
\(296\) 3.54030e15 + 6.13197e15i 0.305945 + 0.529912i
\(297\) 1.33044e14 2.30439e14i 0.0112481 0.0194823i
\(298\) −2.07785e15 + 3.59895e15i −0.171874 + 0.297694i
\(299\) 1.21946e16 + 2.11216e16i 0.986970 + 1.70948i
\(300\) 8.75278e14 0.0693199
\(301\) −1.65656e15 7.03255e14i −0.128388 0.0545043i
\(302\) 1.54593e16 1.17259
\(303\) −1.07668e15 1.86486e15i −0.0799297 0.138442i
\(304\) 1.79882e15 3.11565e15i 0.130710 0.226397i
\(305\) −2.04320e15 + 3.53892e15i −0.145332 + 0.251722i
\(306\) −5.63588e15 9.76163e15i −0.392439 0.679724i
\(307\) −9.05812e15 −0.617503 −0.308751 0.951143i \(-0.599911\pi\)
−0.308751 + 0.951143i \(0.599911\pi\)
\(308\) 3.50053e13 + 2.85201e14i 0.00233644 + 0.0190358i
\(309\) −3.04730e15 −0.199152
\(310\) −4.04711e15 7.00980e15i −0.258996 0.448595i
\(311\) −3.47766e15 + 6.02349e15i −0.217944 + 0.377490i −0.954179 0.299236i \(-0.903268\pi\)
0.736235 + 0.676726i \(0.236602\pi\)
\(312\) −1.26563e15 + 2.19213e15i −0.0776785 + 0.134543i
\(313\) 1.14376e16 + 1.98105e16i 0.687537 + 1.19085i 0.972632 + 0.232350i \(0.0746416\pi\)
−0.285095 + 0.958499i \(0.592025\pi\)
\(314\) 2.09111e16 1.23122
\(315\) 9.29347e15 7.00248e15i 0.535993 0.403862i
\(316\) −1.17275e15 −0.0662581
\(317\) −8.77585e15 1.52002e16i −0.485740 0.841327i 0.514126 0.857715i \(-0.328117\pi\)
−0.999866 + 0.0163884i \(0.994783\pi\)
\(318\) −4.89132e14 + 8.47202e14i −0.0265247 + 0.0459421i
\(319\) −2.78727e14 + 4.82769e14i −0.0148095 + 0.0256507i
\(320\) −8.89993e14 1.54151e15i −0.0463353 0.0802550i
\(321\) −9.56275e15 −0.487865
\(322\) −1.56200e16 + 1.17694e16i −0.780938 + 0.588424i
\(323\) −2.61679e16 −1.28219
\(324\) −3.77261e15 6.53436e15i −0.181176 0.313805i
\(325\) 6.82897e15 1.18281e16i 0.321450 0.556768i
\(326\) 1.50197e16 2.60150e16i 0.693024 1.20035i
\(327\) −2.86855e15 4.96847e15i −0.129748 0.224731i
\(328\) −8.57962e15 −0.380442
\(329\) −5.75245e14 4.68674e15i −0.0250081 0.203750i
\(330\) −1.45217e14 −0.00618979
\(331\) −1.97594e15 3.42244e15i −0.0825834 0.143039i 0.821775 0.569811i \(-0.192984\pi\)
−0.904359 + 0.426773i \(0.859650\pi\)
\(332\) 1.92804e14 3.33947e14i 0.00790168 0.0136861i
\(333\) 1.94913e16 3.37599e16i 0.783344 1.35679i
\(334\) −5.74777e15 9.95543e15i −0.226541 0.392381i
\(335\) −1.98725e16 −0.768178
\(336\) −1.86841e15 7.93194e14i −0.0708383 0.0300728i
\(337\) −1.01379e16 −0.377012 −0.188506 0.982072i \(-0.560364\pi\)
−0.188506 + 0.982072i \(0.560364\pi\)
\(338\) 1.00570e16 + 1.74192e16i 0.366867 + 0.635433i
\(339\) 5.27277e15 9.13270e15i 0.188686 0.326814i
\(340\) −6.47348e15 + 1.12124e16i −0.227261 + 0.393627i
\(341\) −5.50211e14 9.52994e14i −0.0189507 0.0328236i
\(342\) −1.98070e16 −0.669342
\(343\) 1.08041e16 + 2.81570e16i 0.358242 + 0.933629i
\(344\) 1.51562e15 0.0493130
\(345\) −4.94202e15 8.55982e15i −0.157790 0.273301i
\(346\) −1.86297e16 + 3.22676e16i −0.583729 + 1.01105i
\(347\) 1.15207e16 1.99545e16i 0.354274 0.613620i −0.632720 0.774381i \(-0.718061\pi\)
0.986993 + 0.160761i \(0.0513947\pi\)
\(348\) −1.96895e15 3.41033e15i −0.0594252 0.102927i
\(349\) −2.15793e16 −0.639252 −0.319626 0.947544i \(-0.603557\pi\)
−0.319626 + 0.947544i \(0.603557\pi\)
\(350\) 1.00815e16 + 4.27986e15i 0.293144 + 0.124448i
\(351\) 2.93307e16 0.837193
\(352\) −1.20996e14 2.09571e14i −0.00339035 0.00587225i
\(353\) 9.54952e15 1.65402e16i 0.262691 0.454995i −0.704265 0.709937i \(-0.748723\pi\)
0.966956 + 0.254943i \(0.0820566\pi\)
\(354\) −1.79721e15 + 3.11286e15i −0.0485375 + 0.0840695i
\(355\) 2.24537e16 + 3.88910e16i 0.595394 + 1.03125i
\(356\) −1.61800e16 −0.421263
\(357\) 1.79863e15 + 1.46541e16i 0.0459831 + 0.374642i
\(358\) 5.39200e16 1.35366
\(359\) −7.27465e15 1.26001e16i −0.179349 0.310641i 0.762309 0.647213i \(-0.224066\pi\)
−0.941658 + 0.336572i \(0.890732\pi\)
\(360\) −4.89990e15 + 8.48688e15i −0.118637 + 0.205486i
\(361\) −1.96489e15 + 3.40329e15i −0.0467241 + 0.0809285i
\(362\) 9.89340e15 + 1.71359e16i 0.231068 + 0.400221i
\(363\) 1.33987e16 0.307376
\(364\) −2.52964e16 + 1.90604e16i −0.570032 + 0.429509i
\(365\) 4.11587e16 0.911084
\(366\) −1.96224e15 3.39869e15i −0.0426702 0.0739069i
\(367\) 3.08436e16 5.34227e16i 0.658925 1.14129i −0.321969 0.946750i \(-0.604345\pi\)
0.980894 0.194541i \(-0.0623218\pi\)
\(368\) 8.23548e15 1.42643e16i 0.172854 0.299391i
\(369\) 2.36178e16 + 4.09072e16i 0.487043 + 0.843584i
\(370\) −4.47761e16 −0.907267
\(371\) −9.77640e15 + 7.36635e15i −0.194647 + 0.146664i
\(372\) 7.77349e15 0.152085
\(373\) 3.79362e16 + 6.57074e16i 0.729367 + 1.26330i 0.957151 + 0.289589i \(0.0935185\pi\)
−0.227784 + 0.973712i \(0.573148\pi\)
\(374\) −8.80080e14 + 1.52434e15i −0.0166286 + 0.0288017i
\(375\) −8.91244e15 + 1.54368e16i −0.165498 + 0.286651i
\(376\) 1.98834e15 + 3.44390e15i 0.0362885 + 0.0628536i
\(377\) −6.14476e16 −1.10227
\(378\) 2.86535e15 + 2.33450e16i 0.0505220 + 0.411622i
\(379\) −2.97831e16 −0.516196 −0.258098 0.966119i \(-0.583096\pi\)
−0.258098 + 0.966119i \(0.583096\pi\)
\(380\) 1.13753e16 + 1.97027e16i 0.193808 + 0.335685i
\(381\) 3.05153e15 5.28540e15i 0.0511099 0.0885250i
\(382\) 5.56659e15 9.64162e15i 0.0916595 0.158759i
\(383\) −4.06344e16 7.03808e16i −0.657812 1.13936i −0.981181 0.193091i \(-0.938149\pi\)
0.323369 0.946273i \(-0.395185\pi\)
\(384\) 1.70946e15 0.0272085
\(385\) −1.67260e15 7.10067e14i −0.0261757 0.0111123i
\(386\) −3.44778e15 −0.0530545
\(387\) −4.17217e15 7.22641e15i −0.0631308 0.109346i
\(388\) 2.13806e16 3.70323e16i 0.318137 0.551029i
\(389\) −1.32334e16 + 2.29209e16i −0.193642 + 0.335397i −0.946454 0.322837i \(-0.895363\pi\)
0.752813 + 0.658235i \(0.228697\pi\)
\(390\) −8.00354e15 1.38625e16i −0.115176 0.199491i
\(391\) −1.19804e17 −1.69559
\(392\) −1.76419e16 1.82720e16i −0.245576 0.254347i
\(393\) 2.02523e16 0.277283
\(394\) −1.94124e16 3.36233e16i −0.261430 0.452809i
\(395\) 3.70810e15 6.42262e15i 0.0491214 0.0850807i
\(396\) −6.66150e14 + 1.15381e15i −0.00868067 + 0.0150354i
\(397\) 4.47312e16 + 7.74767e16i 0.573419 + 0.993191i 0.996211 + 0.0869642i \(0.0277166\pi\)
−0.422792 + 0.906227i \(0.638950\pi\)
\(398\) 7.41440e16 0.935053
\(399\) 2.38809e16 + 1.01381e16i 0.296297 + 0.125786i
\(400\) −9.22376e15 −0.112595
\(401\) −5.76123e16 9.97875e16i −0.691954 1.19850i −0.971197 0.238278i \(-0.923417\pi\)
0.279243 0.960220i \(-0.409916\pi\)
\(402\) 9.54256e15 1.65282e16i 0.112770 0.195324i
\(403\) 6.06493e16 1.05048e17i 0.705249 1.22153i
\(404\) 1.13461e16 + 1.96520e16i 0.129828 + 0.224869i
\(405\) 4.77144e16 0.537269
\(406\) −6.00289e15 4.89078e16i −0.0665183 0.541949i
\(407\) −6.08739e15 −0.0663846
\(408\) −6.21698e15 1.07681e16i −0.0667249 0.115571i
\(409\) −2.52099e16 + 4.36649e16i −0.266299 + 0.461244i −0.967903 0.251323i \(-0.919134\pi\)
0.701604 + 0.712567i \(0.252468\pi\)
\(410\) 2.71278e16 4.69868e16i 0.282046 0.488518i
\(411\) 3.47737e15 + 6.02299e15i 0.0355860 + 0.0616368i
\(412\) 3.21127e16 0.323478
\(413\) −3.59212e16 + 2.70661e16i −0.356185 + 0.268380i
\(414\) −9.06817e16 −0.885151
\(415\) 1.21925e15 + 2.11181e15i 0.0117161 + 0.0202928i
\(416\) 1.33373e16 2.31008e16i 0.126171 0.218535i
\(417\) −2.30819e16 + 3.99791e16i −0.214975 + 0.372347i
\(418\) 1.54650e15 + 2.67861e15i 0.0141809 + 0.0245620i
\(419\) −5.68881e16 −0.513606 −0.256803 0.966464i \(-0.582669\pi\)
−0.256803 + 0.966464i \(0.582669\pi\)
\(420\) 1.02517e16 7.72448e15i 0.0911329 0.0686671i
\(421\) −2.24518e16 −0.196525 −0.0982623 0.995161i \(-0.531328\pi\)
−0.0982623 + 0.995161i \(0.531328\pi\)
\(422\) −1.14679e16 1.98631e16i −0.0988450 0.171205i
\(423\) 1.09469e16 1.89606e16i 0.0929134 0.160931i
\(424\) 5.15452e15 8.92789e15i 0.0430834 0.0746227i
\(425\) 3.35451e16 + 5.81018e16i 0.276122 + 0.478257i
\(426\) −4.31281e16 −0.349621
\(427\) −5.98241e15 4.87409e16i −0.0477634 0.389146i
\(428\) 1.00773e17 0.792428
\(429\) −1.08810e15 1.88464e15i −0.00842742 0.0145967i
\(430\) −4.79224e15 + 8.30040e15i −0.0365589 + 0.0633219i
\(431\) −7.88689e16 + 1.36605e17i −0.592657 + 1.02651i 0.401216 + 0.915984i \(0.368588\pi\)
−0.993873 + 0.110529i \(0.964746\pi\)
\(432\) −9.90409e15 1.71544e16i −0.0733111 0.126979i
\(433\) 2.52696e17 1.84258 0.921291 0.388873i \(-0.127136\pi\)
0.921291 + 0.388873i \(0.127136\pi\)
\(434\) 8.95351e16 + 3.80101e16i 0.643147 + 0.273034i
\(435\) 2.49025e16 0.176223
\(436\) 3.02290e16 + 5.23582e16i 0.210747 + 0.365025i
\(437\) −1.05261e17 + 1.82317e17i −0.722999 + 1.25227i
\(438\) −1.97639e16 + 3.42322e16i −0.133749 + 0.231661i
\(439\) −8.38396e16 1.45214e17i −0.559023 0.968256i −0.997578 0.0695519i \(-0.977843\pi\)
0.438555 0.898704i \(-0.355490\pi\)
\(440\) 1.53031e15 0.0100539
\(441\) −3.85557e16 + 1.34414e17i −0.249596 + 0.870151i
\(442\) −1.94021e17 −1.23767
\(443\) 3.94402e16 + 6.83125e16i 0.247922 + 0.429414i 0.962949 0.269683i \(-0.0869189\pi\)
−0.715027 + 0.699097i \(0.753586\pi\)
\(444\) 2.15010e16 3.72407e16i 0.133189 0.230690i
\(445\) 5.11594e16 8.86107e16i 0.312310 0.540936i
\(446\) 2.12580e16 + 3.68199e16i 0.127893 + 0.221517i
\(447\) 2.52385e16 0.149646
\(448\) 1.96895e16 + 8.35874e15i 0.115061 + 0.0488466i
\(449\) −6.54338e16 −0.376878 −0.188439 0.982085i \(-0.560343\pi\)
−0.188439 + 0.982085i \(0.560343\pi\)
\(450\) 2.53909e16 + 4.39784e16i 0.144144 + 0.249665i
\(451\) 3.68808e15 6.38793e15i 0.0206373 0.0357448i
\(452\) −5.55649e16 + 9.62412e16i −0.306479 + 0.530837i
\(453\) −4.69439e16 8.13092e16i −0.255235 0.442081i
\(454\) 9.03094e16 0.484028
\(455\) −2.44010e16 1.98804e17i −0.128924 1.05039i
\(456\) −2.18492e16 −0.113806
\(457\) 4.39399e16 + 7.61061e16i 0.225633 + 0.390809i 0.956509 0.291702i \(-0.0942215\pi\)
−0.730876 + 0.682510i \(0.760888\pi\)
\(458\) −4.07233e16 + 7.05348e16i −0.206166 + 0.357090i
\(459\) −7.20386e16 + 1.24775e17i −0.359570 + 0.622793i
\(460\) 5.20794e16 + 9.02042e16i 0.256295 + 0.443916i
\(461\) 2.99092e17 1.45127 0.725637 0.688078i \(-0.241545\pi\)
0.725637 + 0.688078i \(0.241545\pi\)
\(462\) 1.39373e15 1.05016e15i 0.00666818 0.00502436i
\(463\) 3.52626e17 1.66356 0.831779 0.555106i \(-0.187322\pi\)
0.831779 + 0.555106i \(0.187322\pi\)
\(464\) 2.07490e16 + 3.59383e16i 0.0965229 + 0.167183i
\(465\) −2.45789e16 + 4.25720e16i −0.112751 + 0.195290i
\(466\) −4.63171e16 + 8.02235e16i −0.209524 + 0.362905i
\(467\) −1.40394e17 2.43169e17i −0.626308 1.08480i −0.988286 0.152610i \(-0.951232\pi\)
0.361979 0.932186i \(-0.382101\pi\)
\(468\) −1.46858e17 −0.646100
\(469\) 1.90729e17 1.43711e17i 0.827549 0.623544i
\(470\) −2.51476e16 −0.107612
\(471\) −6.34988e16 1.09983e17i −0.267997 0.464184i
\(472\) 1.89392e16 3.28036e16i 0.0788384 0.136552i
\(473\) −6.51513e14 + 1.12845e15i −0.00267501 + 0.00463326i
\(474\) 3.56117e15 + 6.16813e15i 0.0144223 + 0.0249801i
\(475\) 1.17892e17 0.470953
\(476\) −1.89541e16 1.54426e17i −0.0746893 0.608522i
\(477\) −5.67569e16 −0.220622
\(478\) −1.76533e17 3.05764e17i −0.676932 1.17248i
\(479\) −2.02343e17 + 3.50468e17i −0.765432 + 1.32577i 0.174586 + 0.984642i \(0.444141\pi\)
−0.940018 + 0.341125i \(0.889192\pi\)
\(480\) −5.40511e15 + 9.36193e15i −0.0201714 + 0.0349379i
\(481\) −3.35503e17 5.81109e17i −1.23525 2.13951i
\(482\) 1.40509e17 0.510384
\(483\) 1.09333e17 + 4.64150e16i 0.391829 + 0.166342i
\(484\) −1.41197e17 −0.499264
\(485\) 1.35206e17 + 2.34184e17i 0.471710 + 0.817026i
\(486\) −8.31471e16 + 1.44015e17i −0.286228 + 0.495761i
\(487\) 1.49335e17 2.58656e17i 0.507251 0.878585i −0.492713 0.870192i \(-0.663995\pi\)
0.999965 0.00839348i \(-0.00267176\pi\)
\(488\) 2.06782e16 + 3.58157e16i 0.0693081 + 0.120045i
\(489\) −1.82436e17 −0.603397
\(490\) 1.55849e17 3.88427e16i 0.508663 0.126776i
\(491\) −4.17520e17 −1.34477 −0.672384 0.740202i \(-0.734730\pi\)
−0.672384 + 0.740202i \(0.734730\pi\)
\(492\) 2.60529e16 + 4.51250e16i 0.0828101 + 0.143431i
\(493\) 1.50921e17 2.61402e17i 0.473417 0.819982i
\(494\) −1.70469e17 + 2.95261e17i −0.527740 + 0.914072i
\(495\) −4.21259e15 7.29641e15i −0.0128711 0.0222934i
\(496\) −8.19178e16 −0.247029
\(497\) −4.96749e17 2.10884e17i −1.47850 0.627663i
\(498\) −2.34188e15 −0.00687978
\(499\) 3.65779e16 + 6.33548e16i 0.106063 + 0.183707i 0.914172 0.405326i \(-0.132842\pi\)
−0.808109 + 0.589033i \(0.799509\pi\)
\(500\) 9.39200e16 1.62674e17i 0.268815 0.465601i
\(501\) −3.49074e16 + 6.04614e16i −0.0986216 + 0.170818i
\(502\) 1.02068e17 + 1.76787e17i 0.284653 + 0.493033i
\(503\) 5.96999e17 1.64355 0.821773 0.569816i \(-0.192985\pi\)
0.821773 + 0.569816i \(0.192985\pi\)
\(504\) −1.43467e16 1.16888e17i −0.0389901 0.317667i
\(505\) −1.43501e17 −0.384999
\(506\) 7.08028e15 + 1.22634e16i 0.0187531 + 0.0324813i
\(507\) 6.10781e16 1.05790e17i 0.159711 0.276627i
\(508\) −3.21573e16 + 5.56980e16i −0.0830166 + 0.143789i
\(509\) 1.17316e17 + 2.03198e17i 0.299015 + 0.517909i 0.975911 0.218170i \(-0.0700087\pi\)
−0.676896 + 0.736079i \(0.736675\pi\)
\(510\) 7.86296e16 0.197870
\(511\) −3.95026e17 + 2.97646e17i −0.981500 + 0.739544i
\(512\) −1.80144e16 −0.0441942
\(513\) 1.26588e17 + 2.19257e17i 0.306640 + 0.531116i
\(514\) 2.40743e17 4.16980e17i 0.575830 0.997367i
\(515\) −1.01537e17 + 1.75867e17i −0.239815 + 0.415372i
\(516\) −4.60235e15 7.97151e15i −0.0107339 0.0185916i
\(517\) −3.41886e15 −0.00787396
\(518\) 4.29744e17 3.23805e17i 0.977387 0.736445i
\(519\) 2.26284e17 0.508237
\(520\) 8.43420e16 + 1.46085e17i 0.187078 + 0.324028i
\(521\) −2.71140e16 + 4.69628e16i −0.0593948 + 0.102875i −0.894194 0.447680i \(-0.852250\pi\)
0.834799 + 0.550555i \(0.185584\pi\)
\(522\) 1.14235e17 1.97860e17i 0.247138 0.428056i
\(523\) 3.30981e17 + 5.73277e17i 0.707201 + 1.22491i 0.965891 + 0.258947i \(0.0833757\pi\)
−0.258691 + 0.965960i \(0.583291\pi\)
\(524\) −2.13421e17 −0.450384
\(525\) −8.10325e15 6.60202e16i −0.0168898 0.137607i
\(526\) −1.41946e17 −0.292223
\(527\) 2.97920e17 + 5.16012e17i 0.605801 + 1.04928i
\(528\) −7.34835e14 + 1.27277e15i −0.00147594 + 0.00255641i
\(529\) −2.29895e17 + 3.98189e17i −0.456107 + 0.790001i
\(530\) 3.25960e16 + 5.64580e16i 0.0638810 + 0.110645i
\(531\) −2.08541e17 −0.403717
\(532\) −2.51659e17 1.06836e17i −0.481268 0.204312i
\(533\) 8.13066e17 1.53603
\(534\) 4.91323e16 + 8.50996e16i 0.0916956 + 0.158821i
\(535\) −3.18633e17 + 5.51889e17i −0.587478 + 1.01754i
\(536\) −1.00560e17 + 1.74176e17i −0.183170 + 0.317260i
\(537\) −1.63734e17 2.83595e17i −0.294649 0.510347i
\(538\) 5.04427e17 0.896837
\(539\) 2.11880e16 5.28074e15i 0.0372188 0.00927615i
\(540\) 1.25263e17 0.217401
\(541\) −1.59893e17 2.76943e17i −0.274187 0.474906i 0.695743 0.718291i \(-0.255075\pi\)
−0.969930 + 0.243385i \(0.921742\pi\)
\(542\) −6.24964e15 + 1.08247e16i −0.0105891 + 0.0183409i
\(543\) 6.00847e16 1.04070e17i 0.100592 0.174231i
\(544\) 6.55150e16 + 1.13475e17i 0.108380 + 0.187719i
\(545\) −3.82323e17 −0.624962
\(546\) 1.77064e17 + 7.51687e16i 0.286008 + 0.121418i
\(547\) −2.07693e17 −0.331516 −0.165758 0.986166i \(-0.553007\pi\)
−0.165758 + 0.986166i \(0.553007\pi\)
\(548\) −3.66449e16 6.34708e16i −0.0578016 0.100115i
\(549\) 1.13845e17 1.97185e17i 0.177457 0.307365i
\(550\) 3.96497e15 6.86752e15i 0.00610776 0.0105790i
\(551\) −2.65201e17 4.59341e17i −0.403729 0.699279i
\(552\) −1.00032e17 −0.150499
\(553\) 1.08572e16 + 8.84576e16i 0.0161437 + 0.131529i
\(554\) −6.71443e17 −0.986724
\(555\) 1.35967e17 + 2.35502e17i 0.197483 + 0.342051i
\(556\) 2.43239e17 4.21303e17i 0.349179 0.604795i
\(557\) −1.32608e16 + 2.29684e16i −0.0188153 + 0.0325891i −0.875280 0.483617i \(-0.839323\pi\)
0.856464 + 0.516206i \(0.172656\pi\)
\(558\) 2.25501e17 + 3.90579e17i 0.316247 + 0.547756i
\(559\) −1.43631e17 −0.199100
\(560\) −1.08033e17 + 8.14012e16i −0.148025 + 0.111534i
\(561\) 1.06898e16 0.0144781
\(562\) −4.49192e17 7.78024e17i −0.601376 1.04161i
\(563\) 3.87544e17 6.71246e17i 0.512881 0.888335i −0.487008 0.873398i \(-0.661912\pi\)
0.999888 0.0149376i \(-0.00475495\pi\)
\(564\) 1.20756e16 2.09155e16i 0.0157977 0.0273624i
\(565\) −3.51380e17 6.08608e17i −0.454425 0.787087i
\(566\) −7.31275e17 −0.934919
\(567\) −4.57945e17 + 3.45054e17i −0.578793 + 0.436111i
\(568\) 4.54488e17 0.567882
\(569\) −5.16647e17 8.94859e17i −0.638211 1.10541i −0.985825 0.167776i \(-0.946341\pi\)
0.347614 0.937638i \(-0.386992\pi\)
\(570\) 6.90848e16 1.19658e17i 0.0843715 0.146136i
\(571\) 2.35960e17 4.08694e17i 0.284907 0.493473i −0.687680 0.726014i \(-0.741371\pi\)
0.972587 + 0.232541i \(0.0747040\pi\)
\(572\) 1.14664e16 + 1.98605e16i 0.0136885 + 0.0237091i
\(573\) −6.76141e16 −0.0798054
\(574\) 7.94294e16 + 6.47141e17i 0.0926945 + 0.755216i
\(575\) 5.39743e17 0.622797
\(576\) 4.95896e16 + 8.58917e16i 0.0565776 + 0.0979952i
\(577\) −3.32739e17 + 5.76321e17i −0.375371 + 0.650162i −0.990382 0.138357i \(-0.955818\pi\)
0.615011 + 0.788518i \(0.289151\pi\)
\(578\) 1.59585e17 2.76410e17i 0.178017 0.308335i
\(579\) 1.04695e16 + 1.81338e16i 0.0115483 + 0.0200022i
\(580\) −2.62424e17 −0.286235
\(581\) −2.69738e16 1.14511e16i −0.0290936 0.0123510i
\(582\) −2.59698e17 −0.276993
\(583\) 4.43149e15 + 7.67556e15i 0.00467416 + 0.00809589i
\(584\) 2.08274e17 3.60741e17i 0.217246 0.376281i
\(585\) 4.64349e17 8.04276e17i 0.478996 0.829645i
\(586\) 1.85978e17 + 3.22123e17i 0.189726 + 0.328615i
\(587\) 5.98028e16 0.0603356 0.0301678 0.999545i \(-0.490396\pi\)
0.0301678 + 0.999545i \(0.490396\pi\)
\(588\) −4.25311e16 + 1.48273e17i −0.0424379 + 0.147948i
\(589\) 1.04702e18 1.03325
\(590\) 1.19767e17 + 2.07443e17i 0.116896 + 0.202470i
\(591\) −1.17896e17 + 2.04202e17i −0.113810 + 0.197124i
\(592\) −2.26579e17 + 3.92446e17i −0.216336 + 0.374705i
\(593\) −6.47189e16 1.12096e17i −0.0611189 0.105861i 0.833847 0.551996i \(-0.186134\pi\)
−0.894966 + 0.446135i \(0.852800\pi\)
\(594\) 1.70297e16 0.0159072
\(595\) 9.05655e17 + 3.84476e17i 0.836763 + 0.355229i
\(596\) −2.65965e17 −0.243066
\(597\) −2.25146e17 3.89964e17i −0.203531 0.352527i
\(598\) −7.80453e17 + 1.35178e18i −0.697893 + 1.20879i
\(599\) 5.24410e17 9.08304e17i 0.463870 0.803446i −0.535280 0.844675i \(-0.679794\pi\)
0.999150 + 0.0412284i \(0.0131271\pi\)
\(600\) 2.80089e16 + 4.85129e16i 0.0245083 + 0.0424496i
\(601\) −2.17964e18 −1.88669 −0.943346 0.331811i \(-0.892340\pi\)
−0.943346 + 0.331811i \(0.892340\pi\)
\(602\) −1.40315e16 1.14320e17i −0.0120151 0.0978915i
\(603\) 1.10728e18 0.937982
\(604\) 4.94699e17 + 8.56844e17i 0.414573 + 0.718061i
\(605\) 4.46449e17 7.73273e17i 0.370137 0.641096i
\(606\) 6.89073e16 1.19351e17i 0.0565188 0.0978935i
\(607\) 1.05380e18 + 1.82524e18i 0.855129 + 1.48113i 0.876525 + 0.481356i \(0.159856\pi\)
−0.0213958 + 0.999771i \(0.506811\pi\)
\(608\) 2.30249e17 0.184852
\(609\) −2.39005e17 + 1.80086e17i −0.189843 + 0.143043i
\(610\) −2.61529e17 −0.205530
\(611\) −1.88429e17 3.26369e17i −0.146514 0.253770i
\(612\) 3.60696e17 6.24744e17i 0.277496 0.480638i
\(613\) 4.21652e17 7.30322e17i 0.320967 0.555932i −0.659721 0.751511i \(-0.729325\pi\)
0.980688 + 0.195579i \(0.0626587\pi\)
\(614\) −2.89860e17 5.02052e17i −0.218320 0.378142i
\(615\) −3.29506e17 −0.245570
\(616\) −1.46873e16 + 1.10666e16i −0.0108310 + 0.00816096i
\(617\) −1.28326e18 −0.936399 −0.468199 0.883623i \(-0.655097\pi\)
−0.468199 + 0.883623i \(0.655097\pi\)
\(618\) −9.75135e16 1.68898e17i −0.0704109 0.121955i
\(619\) −6.69778e17 + 1.16009e18i −0.478566 + 0.828901i −0.999698 0.0245754i \(-0.992177\pi\)
0.521132 + 0.853476i \(0.325510\pi\)
\(620\) 2.59015e17 4.48627e17i 0.183138 0.317205i
\(621\) 5.79554e17 + 1.00382e18i 0.405507 + 0.702359i
\(622\) −4.45141e17 −0.308219
\(623\) 1.49793e17 + 1.22042e18i 0.102641 + 0.836251i
\(624\) −1.62000e17 −0.109854
\(625\) 2.58371e17 + 4.47512e17i 0.173390 + 0.300320i
\(626\) −7.32006e17 + 1.26787e18i −0.486162 + 0.842058i
\(627\) 9.39220e15 1.62678e16i 0.00617345 0.0106927i
\(628\) 6.69156e17 + 1.15901e18i 0.435301 + 0.753963i
\(629\) 3.29610e18 2.12213
\(630\) 6.85508e17 + 2.91017e17i 0.436816 + 0.185441i
\(631\) −2.14803e18 −1.35472 −0.677360 0.735652i \(-0.736876\pi\)
−0.677360 + 0.735652i \(0.736876\pi\)
\(632\) −3.75279e16 6.50003e16i −0.0234258 0.0405746i
\(633\) −6.96472e16 + 1.20633e17i −0.0430308 + 0.0745316i
\(634\) 5.61654e17 9.72814e17i 0.343470 0.594908i
\(635\) −2.03356e17 3.52222e17i −0.123091 0.213200i
\(636\) −6.26089e16 −0.0375116
\(637\) 1.67187e18 + 1.73158e18i 0.991509 + 1.02692i
\(638\) −3.56770e16 −0.0209437
\(639\) −1.25110e18 2.16697e18i −0.727005 1.25921i
\(640\) 5.69596e16 9.86568e16i 0.0327640 0.0567489i
\(641\) −5.24353e17 + 9.08206e17i −0.298570 + 0.517139i −0.975809 0.218624i \(-0.929843\pi\)
0.677239 + 0.735763i \(0.263176\pi\)
\(642\) −3.06008e17 5.30021e17i −0.172486 0.298755i
\(643\) −2.81734e18 −1.57205 −0.786027 0.618193i \(-0.787865\pi\)
−0.786027 + 0.618193i \(0.787865\pi\)
\(644\) −1.15216e18 4.89126e17i −0.636438 0.270186i
\(645\) 5.82085e16 0.0318309
\(646\) −8.37372e17 1.45037e18i −0.453322 0.785177i
\(647\) 6.43484e17 1.11455e18i 0.344874 0.597339i −0.640457 0.767994i \(-0.721255\pi\)
0.985331 + 0.170655i \(0.0545884\pi\)
\(648\) 2.41447e17 4.18199e17i 0.128111 0.221894i
\(649\) 1.62825e16 + 2.82022e16i 0.00855326 + 0.0148147i
\(650\) 8.74109e17 0.454599
\(651\) −7.19663e16 5.86336e17i −0.0370555 0.301905i
\(652\) 1.92253e18 0.980084
\(653\) 1.05455e18 + 1.82654e18i 0.532270 + 0.921919i 0.999290 + 0.0376725i \(0.0119944\pi\)
−0.467020 + 0.884247i \(0.654672\pi\)
\(654\) 1.83587e17 3.17982e17i 0.0917459 0.158909i
\(655\) 6.74812e17 1.16881e18i 0.333899 0.578329i
\(656\) −2.74548e17 4.75531e17i −0.134506 0.232972i
\(657\) −2.29333e18 −1.11248
\(658\) 2.41358e17 1.81859e17i 0.115929 0.0873507i
\(659\) 9.69560e17 0.461126 0.230563 0.973057i \(-0.425943\pi\)
0.230563 + 0.973057i \(0.425943\pi\)
\(660\) −4.64693e15 8.04872e15i −0.00218842 0.00379046i
\(661\) −4.51127e16 + 7.81375e16i −0.0210373 + 0.0364376i −0.876352 0.481671i \(-0.840030\pi\)
0.855315 + 0.518108i \(0.173364\pi\)
\(662\) 1.26460e17 2.19036e17i 0.0583953 0.101144i
\(663\) 5.89165e17 + 1.02046e18i 0.269401 + 0.466616i
\(664\) 2.46790e16 0.0111747
\(665\) 1.38081e18 1.04042e18i 0.619148 0.466518i
\(666\) 2.49488e18 1.10782
\(667\) −1.21416e18 2.10299e18i −0.533899 0.924739i
\(668\) 3.67857e17 6.37147e17i 0.160189 0.277455i
\(669\) 1.29104e17 2.23615e17i 0.0556764 0.0964343i
\(670\) −6.35921e17 1.10145e18i −0.271592 0.470411i
\(671\) −3.55553e16 −0.0150386
\(672\) −1.58260e16 1.28940e17i −0.00662935 0.0540117i
\(673\) −3.19523e18 −1.32557 −0.662787 0.748808i \(-0.730626\pi\)
−0.662787 + 0.748808i \(0.730626\pi\)
\(674\) −3.24414e17 5.61901e17i −0.133294 0.230872i
\(675\) 3.24551e17 5.62138e17i 0.132071 0.228754i
\(676\) −6.43647e17 + 1.11483e18i −0.259414 + 0.449319i
\(677\) −1.03656e17 1.79538e17i −0.0413780 0.0716688i 0.844595 0.535406i \(-0.179841\pi\)
−0.885973 + 0.463737i \(0.846508\pi\)
\(678\) 6.74914e17 0.266843
\(679\) −2.99120e18 1.26985e18i −1.17136 0.497276i
\(680\) −8.28605e17 −0.321395
\(681\) −2.74234e17 4.74987e17i −0.105357 0.182484i
\(682\) 3.52135e16 6.09916e16i 0.0134002 0.0232098i
\(683\) −1.28206e18 + 2.22059e18i −0.483251 + 0.837015i −0.999815 0.0192336i \(-0.993877\pi\)
0.516564 + 0.856248i \(0.327211\pi\)
\(684\) −6.33823e17 1.09781e18i −0.236648 0.409887i
\(685\) 4.63468e17 0.171408
\(686\) −1.21489e18 + 1.49985e18i −0.445071 + 0.549465i
\(687\) 4.94642e17 0.179503
\(688\) 4.85000e16 + 8.40044e16i 0.0174348 + 0.0301979i
\(689\) −4.88479e17 + 8.46070e17i −0.173948 + 0.301288i
\(690\) 3.16289e17 5.47829e17i 0.111575 0.193253i
\(691\) 1.69981e17 + 2.94416e17i 0.0594009 + 0.102885i 0.894197 0.447674i \(-0.147748\pi\)
−0.834796 + 0.550560i \(0.814414\pi\)
\(692\) −2.38460e18 −0.825517
\(693\) 9.31960e16 + 3.95643e16i 0.0319618 + 0.0135687i
\(694\) 1.47466e18 0.501019
\(695\) 1.53819e18 + 2.66423e18i 0.517737 + 0.896747i
\(696\) 1.26013e17 2.18261e17i 0.0420199 0.0727807i
\(697\) −1.99696e18 + 3.45884e18i −0.659715 + 1.14266i
\(698\) −6.90538e17 1.19605e18i −0.226010 0.391460i
\(699\) 5.62587e17 0.182426
\(700\) 8.53927e16 + 6.95726e17i 0.0274337 + 0.223512i
\(701\) 1.45413e18 0.462846 0.231423 0.972853i \(-0.425662\pi\)
0.231423 + 0.972853i \(0.425662\pi\)
\(702\) 9.38581e17 + 1.62567e18i 0.295992 + 0.512674i
\(703\) 2.89599e18 5.01600e18i 0.904873 1.56729i
\(704\) 7.74375e15 1.34126e16i 0.00239734 0.00415231i
\(705\) 7.63634e16 + 1.32265e17i 0.0234237 + 0.0405711i
\(706\) 1.22234e18 0.371502
\(707\) 1.37727e18 1.03775e18i 0.414755 0.312511i
\(708\) −2.30043e17 −0.0686424
\(709\) 1.71646e18 + 2.97300e18i 0.507498 + 0.879012i 0.999962 + 0.00867935i \(0.00276276\pi\)
−0.492465 + 0.870332i \(0.663904\pi\)
\(710\) −1.43704e18 + 2.48903e18i −0.421007 + 0.729206i
\(711\) −2.06612e17 + 3.57862e17i −0.0599795 + 0.103888i
\(712\) −5.17760e17 8.96787e17i −0.148939 0.257970i
\(713\) 4.79355e18 1.36639
\(714\) −7.54657e17 + 5.68622e17i −0.213163 + 0.160615i
\(715\) −1.45023e17 −0.0405925
\(716\) 1.72544e18 + 2.98855e18i 0.478592 + 0.828945i
\(717\) −1.07212e18 + 1.85697e18i −0.294693 + 0.510424i
\(718\) 4.65578e17 8.06404e17i 0.126819 0.219656i
\(719\) −6.47577e17 1.12164e18i −0.174805 0.302771i 0.765289 0.643687i \(-0.222596\pi\)
−0.940094 + 0.340916i \(0.889263\pi\)
\(720\) −6.27187e17 −0.167778
\(721\) −2.97296e17 2.42218e18i −0.0788153 0.642137i
\(722\) −2.51506e17 −0.0660778
\(723\) −4.26669e17 7.39012e17i −0.111094 0.192421i
\(724\) −6.33177e17 + 1.09670e18i −0.163390 + 0.282999i
\(725\) −6.79932e17 + 1.17768e18i −0.173888 + 0.301182i
\(726\) 4.28759e17 + 7.42633e17i 0.108674 + 0.188229i
\(727\) 4.19685e18 1.05426 0.527132 0.849783i \(-0.323267\pi\)
0.527132 + 0.849783i \(0.323267\pi\)
\(728\) −1.86592e18 7.92134e17i −0.464556 0.197217i
\(729\) −1.92696e18 −0.475492
\(730\) 1.31708e18 + 2.28125e18i 0.322117 + 0.557923i
\(731\) 3.52771e17 6.11017e17i 0.0855125 0.148112i
\(732\) 1.25583e17 2.17516e17i 0.0301724 0.0522601i
\(733\) 2.89692e18 + 5.01761e18i 0.689859 + 1.19487i 0.971883 + 0.235463i \(0.0756607\pi\)
−0.282025 + 0.959407i \(0.591006\pi\)
\(734\) 3.94798e18 0.931861
\(735\) −6.77548e17 7.01748e17i −0.158516 0.164177i
\(736\) 1.05414e18 0.244452
\(737\) −8.64546e16 1.49744e17i −0.0198724 0.0344199i
\(738\) −1.51154e18 + 2.61806e18i −0.344392 + 0.596504i
\(739\) 1.56024e17 2.70242e17i 0.0352373 0.0610328i −0.847869 0.530206i \(-0.822115\pi\)
0.883106 + 0.469173i \(0.155448\pi\)
\(740\) −1.43284e18 2.48174e18i −0.320767 0.555585i
\(741\) 2.07059e18 0.459489
\(742\) −7.21129e17 3.06140e17i −0.158631 0.0673432i
\(743\) −3.64180e18 −0.794124 −0.397062 0.917792i \(-0.629970\pi\)
−0.397062 + 0.917792i \(0.629970\pi\)
\(744\) 2.48752e17 + 4.30851e17i 0.0537703 + 0.0931328i
\(745\) 8.40952e17 1.45657e18i 0.180200 0.312116i
\(746\) −2.42791e18 + 4.20527e18i −0.515740 + 0.893288i
\(747\) −6.79356e16 1.17668e17i −0.0143059 0.0247785i
\(748\) −1.12650e17 −0.0235165
\(749\) −9.32948e17 7.60107e18i −0.193075 1.57305i
\(750\) −1.14079e18 −0.234050
\(751\) −3.13258e18 5.42578e18i −0.637151 1.10358i −0.986055 0.166419i \(-0.946780\pi\)
0.348905 0.937158i \(-0.386554\pi\)
\(752\) −1.27254e17 + 2.20410e17i −0.0256599 + 0.0444442i
\(753\) 6.19881e17 1.07366e18i 0.123920 0.214635i
\(754\) −1.96632e18 3.40577e18i −0.389710 0.674997i
\(755\) −6.25673e18 −1.22940
\(756\) −1.20222e18 + 9.05855e17i −0.234203 + 0.176468i
\(757\) 2.22951e18 0.430612 0.215306 0.976547i \(-0.430925\pi\)
0.215306 + 0.976547i