Properties

Label 29.9.f.a.2.13
Level $29$
Weight $9$
Character 29.2
Analytic conductor $11.814$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(11.8139796918\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(19\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 2.13
Character \(\chi\) \(=\) 29.2
Dual form 29.9.f.a.15.13

$q$-expansion

\(f(q)\) \(=\) \(q+(14.2835 + 1.60937i) q^{2} +(128.283 + 80.6053i) q^{3} +(-48.1524 - 10.9905i) q^{4} +(-467.828 + 373.081i) q^{5} +(1702.60 + 1357.78i) q^{6} +(469.147 + 2055.47i) q^{7} +(-4143.33 - 1449.81i) q^{8} +(7112.49 + 14769.2i) q^{9} +O(q^{10})\) \(q+(14.2835 + 1.60937i) q^{2} +(128.283 + 80.6053i) q^{3} +(-48.1524 - 10.9905i) q^{4} +(-467.828 + 373.081i) q^{5} +(1702.60 + 1357.78i) q^{6} +(469.147 + 2055.47i) q^{7} +(-4143.33 - 1449.81i) q^{8} +(7112.49 + 14769.2i) q^{9} +(-7282.66 + 4576.00i) q^{10} +(3281.42 - 1148.22i) q^{11} +(-5291.23 - 5291.23i) q^{12} +(15354.5 - 31883.9i) q^{13} +(3393.07 + 30114.3i) q^{14} +(-90086.4 + 10150.3i) q^{15} +(-45456.1 - 21890.5i) q^{16} +(58865.3 - 58865.3i) q^{17} +(77822.3 + 222403. i) q^{18} +(104673. + 166586. i) q^{19} +(26627.4 - 12823.1i) q^{20} +(-105498. + 301496. i) q^{21} +(48718.1 - 11119.6i) q^{22} +(105113. - 131807. i) q^{23} +(-414654. - 519959. i) q^{24} +(-7248.12 + 31756.1i) q^{25} +(270629. - 430703. i) q^{26} +(-166775. + 1.48017e6i) q^{27} -104132. i q^{28} +(462133. - 535424. i) q^{29} -1.30309e6 q^{30} +(114780. + 12932.5i) q^{31} +(337464. + 212043. i) q^{32} +(513501. + 117203. i) q^{33} +(935540. - 746069. i) q^{34} +(-986334. - 786575. i) q^{35} +(-180163. - 789344. i) q^{36} +(-2.78593e6 - 974840. i) q^{37} +(1.22700e6 + 2.54789e6i) q^{38} +(4.53972e6 - 2.85249e6i) q^{39} +(2.47926e6 - 867531. i) q^{40} +(1.13415e6 + 1.13415e6i) q^{41} +(-1.99210e6 + 4.13664e6i) q^{42} +(-456696. - 4.05329e6i) q^{43} +(-170628. + 19225.1i) q^{44} +(-8.83754e6 - 4.25593e6i) q^{45} +(1.71350e6 - 1.71350e6i) q^{46} +(-314564. - 898972. i) q^{47} +(-4.06674e6 - 6.47218e6i) q^{48} +(1.18906e6 - 572623. i) q^{49} +(-154636. + 441924. i) q^{50} +(1.22962e7 - 2.80654e6i) q^{51} +(-1.08977e6 + 1.36653e6i) q^{52} +(-709359. - 889508. i) q^{53} +(-4.76427e6 + 2.08736e7i) q^{54} +(-1.10676e6 + 1.76140e6i) q^{55} +(1.03621e6 - 9.19664e6i) q^{56} +2.98072e7i q^{57} +(7.46259e6 - 6.90400e6i) q^{58} -1.88666e7 q^{59} +(4.44944e6 + 501331. i) q^{60} +(1.83853e7 + 1.15522e7i) q^{61} +(1.61864e6 + 369445. i) q^{62} +(-2.70209e7 + 2.15484e7i) q^{63} +(1.45769e7 + 1.16247e7i) q^{64} +(4.71200e6 + 2.06446e7i) q^{65} +(7.14599e6 + 2.50049e6i) q^{66} +(-5.31041e6 - 1.10272e7i) q^{67} +(-3.48147e6 + 2.18755e6i) q^{68} +(2.41085e7 - 8.43591e6i) q^{69} +(-1.28224e7 - 1.28224e7i) q^{70} +(1.42714e7 - 2.96348e7i) q^{71} +(-8.05674e6 - 7.15055e7i) q^{72} +(-4.13546e7 + 4.65955e6i) q^{73} +(-3.82241e7 - 1.84077e7i) q^{74} +(-3.48951e6 + 3.48951e6i) q^{75} +(-3.20939e6 - 9.17191e6i) q^{76} +(3.89959e6 + 6.20616e6i) q^{77} +(6.94339e7 - 3.34376e7i) q^{78} +(1.64623e7 - 4.70466e7i) q^{79} +(2.94326e7 - 6.71780e6i) q^{80} +(-7.36461e7 + 9.23493e7i) q^{81} +(1.43743e7 + 1.80249e7i) q^{82} +(-1.46101e7 + 6.40111e7i) q^{83} +(8.39357e6 - 1.33583e7i) q^{84} +(-5.57735e6 + 4.95004e7i) q^{85} -5.86302e7i q^{86} +(1.02442e8 - 3.14352e7i) q^{87} -1.52607e7 q^{88} +(2.17945e7 + 2.45566e6i) q^{89} +(-1.19382e8 - 7.50126e7i) q^{90} +(7.27397e7 + 1.66024e7i) q^{91} +(-6.51005e6 + 5.19159e6i) q^{92} +(1.36818e7 + 1.09109e7i) q^{93} +(-3.04631e6 - 1.33467e7i) q^{94} +(-1.11119e8 - 3.88821e7i) q^{95} +(2.61990e7 + 5.44028e7i) q^{96} +(6.50103e6 - 4.08487e6i) q^{97} +(1.79056e7 - 6.26543e6i) q^{98} +(4.02974e7 + 4.02974e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 3664q^{8} - 14q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 3664q^{8} - 14q^{9} - 15884q^{10} + 8376q^{11} - 5036q^{12} - 14q^{13} - 12742q^{14} + 35516q^{15} + 245898q^{16} - 76248q^{17} + 465008q^{18} + 164474q^{19} - 907274q^{20} - 628270q^{21} + 1214962q^{22} + 173408q^{23} + 1858618q^{24} + 43976q^{25} - 4604204q^{26} - 1727586q^{27} + 1079922q^{29} + 8909208q^{30} + 3657848q^{31} + 1160364q^{32} - 4279184q^{33} - 8655374q^{34} - 8269058q^{35} - 3366854q^{36} - 5622890q^{37} + 15536626q^{38} + 16110008q^{39} - 23544696q^{40} - 9561672q^{41} - 14q^{42} + 5181008q^{43} + 51041750q^{44} - 35245194q^{45} - 43159224q^{46} - 12806808q^{47} + 83954488q^{48} + 10429400q^{49} + 80809398q^{50} + 18760882q^{51} - 93050550q^{52} - 30960322q^{53} - 106220916q^{54} - 126174004q^{55} - 40136268q^{56} + 159368354q^{58} + 11188020q^{59} + 255893612q^{60} + 139657128q^{61} + 102501616q^{62} + 9797746q^{63} - 135941792q^{64} - 14207858q^{65} - 447597656q^{66} - 148930894q^{67} - 167094904q^{68} + 66986722q^{69} + 586255934q^{70} - 15272096q^{71} + 41230600q^{72} - 219415072q^{73} - 347464696q^{74} + 391507416q^{75} + 271512490q^{76} + 240416780q^{77} + 141747906q^{78} + 112667220q^{79} - 375642638q^{80} - 358099268q^{81} - 262154910q^{82} - 109463350q^{83} - 694921012q^{84} - 356627386q^{85} + 199703522q^{87} + 251202768q^{88} + 839849154q^{89} + 675826020q^{90} + 533256766q^{91} + 742339570q^{92} + 78998570q^{93} - 209116610q^{94} - 633414122q^{95} - 431412576q^{96} - 402046736q^{97} - 2192087384q^{98} - 1966368188q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 14.2835 + 1.60937i 0.892721 + 0.100585i 0.546394 0.837528i \(-0.316000\pi\)
0.346327 + 0.938114i \(0.387429\pi\)
\(3\) 128.283 + 80.6053i 1.58374 + 0.995127i 0.980252 + 0.197751i \(0.0633636\pi\)
0.603483 + 0.797376i \(0.293779\pi\)
\(4\) −48.1524 10.9905i −0.188095 0.0429316i
\(5\) −467.828 + 373.081i −0.748525 + 0.596929i −0.921673 0.387967i \(-0.873177\pi\)
0.173148 + 0.984896i \(0.444606\pi\)
\(6\) 1702.60 + 1357.78i 1.31374 + 1.04767i
\(7\) 469.147 + 2055.47i 0.195396 + 0.856088i 0.973634 + 0.228117i \(0.0732569\pi\)
−0.778237 + 0.627970i \(0.783886\pi\)
\(8\) −4143.33 1449.81i −1.01155 0.353958i
\(9\) 7112.49 + 14769.2i 1.08406 + 2.25107i
\(10\) −7282.66 + 4576.00i −0.728266 + 0.457600i
\(11\) 3281.42 1148.22i 0.224125 0.0784248i −0.215880 0.976420i \(-0.569262\pi\)
0.440006 + 0.897995i \(0.354976\pi\)
\(12\) −5291.23 5291.23i −0.255171 0.255171i
\(13\) 15354.5 31883.9i 0.537602 1.11634i −0.438440 0.898761i \(-0.644469\pi\)
0.976042 0.217582i \(-0.0698170\pi\)
\(14\) 3393.07 + 30114.3i 0.0883244 + 0.783901i
\(15\) −90086.4 + 10150.3i −1.77949 + 0.200500i
\(16\) −45456.1 21890.5i −0.693606 0.334023i
\(17\) 58865.3 58865.3i 0.704797 0.704797i −0.260639 0.965436i \(-0.583933\pi\)
0.965436 + 0.260639i \(0.0839334\pi\)
\(18\) 77822.3 + 222403.i 0.741334 + 2.11861i
\(19\) 104673. + 166586.i 0.803192 + 1.27827i 0.956976 + 0.290168i \(0.0937112\pi\)
−0.153784 + 0.988105i \(0.549146\pi\)
\(20\) 26627.4 12823.1i 0.166421 0.0801442i
\(21\) −105498. + 301496.i −0.542459 + 1.55026i
\(22\) 48718.1 11119.6i 0.207970 0.0474677i
\(23\) 105113. 131807.i 0.375615 0.471007i −0.557711 0.830035i \(-0.688320\pi\)
0.933327 + 0.359028i \(0.116892\pi\)
\(24\) −414654. 519959.i −1.24980 1.56720i
\(25\) −7248.12 + 31756.1i −0.0185552 + 0.0812956i
\(26\) 270629. 430703.i 0.592216 0.942507i
\(27\) −166775. + 1.48017e6i −0.313817 + 2.78520i
\(28\) 104132.i 0.169415i
\(29\) 462133. 535424.i 0.653394 0.757018i
\(30\) −1.30309e6 −1.60875
\(31\) 114780. + 12932.5i 0.124285 + 0.0140035i 0.173888 0.984765i \(-0.444367\pi\)
−0.0496030 + 0.998769i \(0.515796\pi\)
\(32\) 337464. + 212043.i 0.321831 + 0.202220i
\(33\) 513501. + 117203.i 0.432998 + 0.0988289i
\(34\) 935540. 746069.i 0.700079 0.558294i
\(35\) −986334. 786575.i −0.657282 0.524165i
\(36\) −180163. 789344.i −0.107264 0.469955i
\(37\) −2.78593e6 974840.i −1.48650 0.520147i −0.539665 0.841880i \(-0.681449\pi\)
−0.946831 + 0.321733i \(0.895735\pi\)
\(38\) 1.22700e6 + 2.54789e6i 0.588450 + 1.22193i
\(39\) 4.53972e6 2.85249e6i 1.96232 1.23301i
\(40\) 2.47926e6 867531.i 0.968461 0.338879i
\(41\) 1.13415e6 + 1.13415e6i 0.401359 + 0.401359i 0.878712 0.477353i \(-0.158404\pi\)
−0.477353 + 0.878712i \(0.658404\pi\)
\(42\) −1.99210e6 + 4.13664e6i −0.640198 + 1.32939i
\(43\) −456696. 4.05329e6i −0.133584 1.18559i −0.864325 0.502933i \(-0.832254\pi\)
0.730742 0.682654i \(-0.239174\pi\)
\(44\) −170628. + 19225.1i −0.0455239 + 0.00512931i
\(45\) −8.83754e6 4.25593e6i −2.15517 1.03787i
\(46\) 1.71350e6 1.71350e6i 0.382696 0.382696i
\(47\) −314564. 898972.i −0.0644640 0.184228i 0.907146 0.420816i \(-0.138256\pi\)
−0.971610 + 0.236589i \(0.923971\pi\)
\(48\) −4.06674e6 6.47218e6i −0.766093 1.21923i
\(49\) 1.18906e6 572623.i 0.206263 0.0993309i
\(50\) −154636. + 441924.i −0.0247417 + 0.0707078i
\(51\) 1.22962e7 2.80654e6i 1.81757 0.414849i
\(52\) −1.08977e6 + 1.36653e6i −0.149047 + 0.186899i
\(53\) −709359. 889508.i −0.0899006 0.112732i 0.734847 0.678233i \(-0.237254\pi\)
−0.824747 + 0.565501i \(0.808683\pi\)
\(54\) −4.76427e6 + 2.08736e7i −0.560301 + 2.45484i
\(55\) −1.10676e6 + 1.76140e6i −0.120949 + 0.192490i
\(56\) 1.03621e6 9.19664e6i 0.105365 0.935141i
\(57\) 2.98072e7i 2.82372i
\(58\) 7.46259e6 6.90400e6i 0.659444 0.610083i
\(59\) −1.88666e7 −1.55699 −0.778496 0.627649i \(-0.784017\pi\)
−0.778496 + 0.627649i \(0.784017\pi\)
\(60\) 4.44944e6 + 501331.i 0.343321 + 0.0386830i
\(61\) 1.83853e7 + 1.15522e7i 1.32786 + 0.834348i 0.994116 0.108317i \(-0.0345463\pi\)
0.333740 + 0.942665i \(0.391689\pi\)
\(62\) 1.61864e6 + 369445.i 0.109543 + 0.0250025i
\(63\) −2.70209e7 + 2.15484e7i −1.71529 + 1.36790i
\(64\) 1.45769e7 + 1.16247e7i 0.868853 + 0.692887i
\(65\) 4.71200e6 + 2.06446e7i 0.263968 + 1.15652i
\(66\) 7.14599e6 + 2.50049e6i 0.376605 + 0.131780i
\(67\) −5.31041e6 1.10272e7i −0.263529 0.547224i 0.726653 0.687004i \(-0.241075\pi\)
−0.990183 + 0.139780i \(0.955360\pi\)
\(68\) −3.48147e6 + 2.18755e6i −0.162827 + 0.102311i
\(69\) 2.41085e7 8.43591e6i 1.06359 0.372165i
\(70\) −1.28224e7 1.28224e7i −0.534046 0.534046i
\(71\) 1.42714e7 2.96348e7i 0.561607 1.16619i −0.406034 0.913858i \(-0.633089\pi\)
0.967641 0.252331i \(-0.0811971\pi\)
\(72\) −8.05674e6 7.15055e7i −0.299798 2.66078i
\(73\) −4.13546e7 + 4.65955e6i −1.45624 + 0.164079i −0.804314 0.594204i \(-0.797467\pi\)
−0.651925 + 0.758283i \(0.726038\pi\)
\(74\) −3.82241e7 1.84077e7i −1.27471 0.613866i
\(75\) −3.48951e6 + 3.48951e6i −0.110286 + 0.110286i
\(76\) −3.20939e6 9.17191e6i −0.0961985 0.274920i
\(77\) 3.89959e6 + 6.20616e6i 0.110932 + 0.176547i
\(78\) 6.94339e7 3.34376e7i 1.87583 0.903351i
\(79\) 1.64623e7 4.70466e7i 0.422652 1.20787i −0.514056 0.857757i \(-0.671857\pi\)
0.936707 0.350113i \(-0.113857\pi\)
\(80\) 2.94326e7 6.71780e6i 0.718569 0.164009i
\(81\) −7.36461e7 + 9.23493e7i −1.71084 + 2.14533i
\(82\) 1.43743e7 + 1.80249e7i 0.317931 + 0.398673i
\(83\) −1.46101e7 + 6.40111e7i −0.307852 + 1.34879i 0.550119 + 0.835086i \(0.314582\pi\)
−0.857970 + 0.513699i \(0.828275\pi\)
\(84\) 8.39357e6 1.33583e7i 0.168589 0.268308i
\(85\) −5.57735e6 + 4.95004e7i −0.106845 + 0.948271i
\(86\) 5.86302e7i 1.07183i
\(87\) 1.02442e8 3.14352e7i 1.78813 0.548705i
\(88\) −1.52607e7 −0.254474
\(89\) 2.17945e7 + 2.45566e6i 0.347366 + 0.0391388i 0.283924 0.958847i \(-0.408364\pi\)
0.0634422 + 0.997986i \(0.479792\pi\)
\(90\) −1.19382e8 7.50126e7i −1.81957 1.14331i
\(91\) 7.27397e7 + 1.66024e7i 1.06073 + 0.242105i
\(92\) −6.51005e6 + 5.19159e6i −0.0908726 + 0.0724685i
\(93\) 1.36818e7 + 1.09109e7i 0.182899 + 0.145857i
\(94\) −3.04631e6 1.33467e7i −0.0390177 0.170948i
\(95\) −1.11119e8 3.88821e7i −1.36425 0.477371i
\(96\) 2.61990e7 + 5.44028e7i 0.308461 + 0.640525i
\(97\) 6.50103e6 4.08487e6i 0.0734336 0.0461414i −0.494815 0.868998i \(-0.664764\pi\)
0.568248 + 0.822857i \(0.307621\pi\)
\(98\) 1.79056e7 6.26543e6i 0.194126 0.0679277i
\(99\) 4.02974e7 + 4.02974e7i 0.419504 + 0.419504i
\(100\) 698029. 1.44947e6i 0.00698029 0.0144947i
\(101\) 1.24626e7 + 1.10608e8i 0.119763 + 1.06292i 0.899531 + 0.436856i \(0.143908\pi\)
−0.779768 + 0.626068i \(0.784663\pi\)
\(102\) 1.80151e8 2.02981e7i 1.66431 0.187523i
\(103\) −2.74358e7 1.32124e7i −0.243763 0.117390i 0.308014 0.951382i \(-0.400336\pi\)
−0.551777 + 0.833992i \(0.686050\pi\)
\(104\) −1.09844e8 + 1.09844e8i −0.938952 + 0.938952i
\(105\) −6.31274e7 1.80408e8i −0.519350 1.48422i
\(106\) −8.70060e6 1.38469e7i −0.0689169 0.109681i
\(107\) 2.88494e7 1.38932e7i 0.220091 0.105990i −0.320590 0.947218i \(-0.603881\pi\)
0.540681 + 0.841228i \(0.318167\pi\)
\(108\) 2.42984e7 6.94408e7i 0.178600 0.510411i
\(109\) −1.41888e8 + 3.23850e7i −1.00517 + 0.229424i −0.693260 0.720688i \(-0.743826\pi\)
−0.311911 + 0.950111i \(0.600969\pi\)
\(110\) −1.86432e7 + 2.33779e7i −0.127336 + 0.159674i
\(111\) −2.78809e8 3.49616e8i −1.83660 2.30303i
\(112\) 2.36696e7 1.03703e8i 0.150425 0.659054i
\(113\) −2.52167e7 + 4.01321e7i −0.154659 + 0.246138i −0.915062 0.403313i \(-0.867858\pi\)
0.760403 + 0.649451i \(0.225001\pi\)
\(114\) −4.79708e7 + 4.25752e8i −0.284025 + 2.52080i
\(115\) 1.00879e8i 0.576776i
\(116\) −2.81374e7 + 2.07029e7i −0.155400 + 0.114340i
\(117\) 5.80109e8 3.09575
\(118\) −2.69482e8 3.03633e7i −1.38996 0.156611i
\(119\) 1.48612e8 + 9.33792e7i 0.741082 + 0.465653i
\(120\) 3.87973e8 + 8.85524e7i 1.87101 + 0.427047i
\(121\) −1.58143e8 + 1.26115e8i −0.737750 + 0.588336i
\(122\) 2.44015e8 + 1.94596e8i 1.10148 + 0.878402i
\(123\) 5.40730e7 + 2.36909e8i 0.236243 + 1.03505i
\(124\) −5.38478e6 1.88422e6i −0.0227762 0.00796973i
\(125\) −1.09873e8 2.28153e8i −0.450039 0.934515i
\(126\) −4.20633e8 + 2.64301e8i −1.66886 + 1.04862i
\(127\) −2.09567e8 + 7.33308e7i −0.805580 + 0.281885i −0.701487 0.712683i \(-0.747480\pi\)
−0.104094 + 0.994567i \(0.533194\pi\)
\(128\) 1.17356e8 + 1.17356e8i 0.437185 + 0.437185i
\(129\) 2.68130e8 5.56778e8i 0.968249 2.01059i
\(130\) 3.40792e7 + 3.02461e8i 0.119321 + 1.05900i
\(131\) 2.20725e8 2.48697e7i 0.749490 0.0844473i 0.271047 0.962566i \(-0.412630\pi\)
0.478443 + 0.878119i \(0.341201\pi\)
\(132\) −2.34382e7 1.12872e7i −0.0772020 0.0371785i
\(133\) −2.93304e8 + 2.93304e8i −0.937372 + 0.937372i
\(134\) −5.81046e7 1.66053e8i −0.180215 0.515025i
\(135\) −4.74200e8 7.54685e8i −1.42767 2.27212i
\(136\) −3.29242e8 + 1.58555e8i −0.962409 + 0.463472i
\(137\) −2.34370e7 + 6.69791e7i −0.0665303 + 0.190133i −0.972349 0.233533i \(-0.924971\pi\)
0.905819 + 0.423666i \(0.139257\pi\)
\(138\) 3.57930e8 8.16952e7i 0.986920 0.225258i
\(139\) 8.00984e7 1.00440e8i 0.214568 0.269060i −0.662886 0.748720i \(-0.730669\pi\)
0.877454 + 0.479660i \(0.159240\pi\)
\(140\) 3.88496e7 + 4.87158e7i 0.101129 + 0.126811i
\(141\) 3.21088e7 1.40678e8i 0.0812358 0.355917i
\(142\) 2.51539e8 4.00322e8i 0.618660 0.984591i
\(143\) 1.37748e7 1.22255e8i 0.0329413 0.292362i
\(144\) 8.27049e8i 1.92345i
\(145\) −1.64427e7 + 4.22900e8i −0.0371964 + 0.956677i
\(146\) −5.98189e8 −1.31652
\(147\) 1.98693e8 + 2.23873e7i 0.425512 + 0.0479437i
\(148\) 1.23435e8 + 7.75596e7i 0.257272 + 0.161655i
\(149\) 2.96555e8 + 6.76866e7i 0.601672 + 0.137328i 0.512498 0.858688i \(-0.328720\pi\)
0.0891737 + 0.996016i \(0.471577\pi\)
\(150\) −5.54585e7 + 4.42267e7i −0.109548 + 0.0873613i
\(151\) −3.62936e8 2.89432e8i −0.698107 0.556722i 0.208848 0.977948i \(-0.433028\pi\)
−0.906956 + 0.421226i \(0.861600\pi\)
\(152\) −1.92175e8 8.41975e8i −0.360017 1.57734i
\(153\) 1.28808e9 + 4.50717e8i 2.35058 + 0.822504i
\(154\) 4.57119e7 + 9.49218e7i 0.0812730 + 0.168765i
\(155\) −5.85220e7 + 3.67718e7i −0.101389 + 0.0637071i
\(156\) −2.49949e8 + 8.74608e7i −0.422039 + 0.147678i
\(157\) 4.65485e8 + 4.65485e8i 0.766138 + 0.766138i 0.977424 0.211286i \(-0.0677652\pi\)
−0.211286 + 0.977424i \(0.567765\pi\)
\(158\) 3.10855e8 6.45498e8i 0.498804 1.03578i
\(159\) −1.92993e7 1.71286e8i −0.0301963 0.268000i
\(160\) −2.36984e8 + 2.67017e7i −0.361609 + 0.0407436i
\(161\) 3.20238e8 + 1.54219e8i 0.476617 + 0.229527i
\(162\) −1.20055e9 + 1.20055e9i −1.74309 + 1.74309i
\(163\) −3.95264e8 1.12960e9i −0.559933 1.60020i −0.780724 0.624876i \(-0.785149\pi\)
0.220790 0.975321i \(-0.429136\pi\)
\(164\) −4.21471e7 6.70767e7i −0.0582629 0.0927248i
\(165\) −2.83957e8 + 1.36746e8i −0.383104 + 0.184493i
\(166\) −3.11701e8 + 8.90791e8i −0.410494 + 1.17312i
\(167\) 1.35676e9 3.09671e8i 1.74436 0.398139i 0.772748 0.634713i \(-0.218882\pi\)
0.971613 + 0.236574i \(0.0760246\pi\)
\(168\) 8.74226e8 1.09624e9i 1.09745 1.37616i
\(169\) −2.72221e8 3.41355e8i −0.333715 0.418465i
\(170\) −1.59329e8 + 6.98064e8i −0.190765 + 0.835794i
\(171\) −1.71586e9 + 2.73078e9i −2.00677 + 3.19376i
\(172\) −2.25566e7 + 2.00195e8i −0.0257726 + 0.228739i
\(173\) 7.43654e8i 0.830208i −0.909774 0.415104i \(-0.863745\pi\)
0.909774 0.415104i \(-0.136255\pi\)
\(174\) 1.51382e9 2.84139e8i 1.65149 0.309980i
\(175\) −6.86740e7 −0.0732217
\(176\) −1.74296e8 1.96384e7i −0.181650 0.0204671i
\(177\) −2.42026e9 1.52075e9i −2.46586 1.54940i
\(178\) 3.07351e8 + 7.01509e7i 0.306164 + 0.0698800i
\(179\) 1.60794e8 1.28229e8i 0.156624 0.124904i −0.542042 0.840351i \(-0.682349\pi\)
0.698666 + 0.715448i \(0.253777\pi\)
\(180\) 3.78774e8 + 3.02062e8i 0.360820 + 0.287744i
\(181\) −4.91802e7 2.15473e8i −0.0458222 0.200760i 0.946835 0.321718i \(-0.104260\pi\)
−0.992658 + 0.120958i \(0.961403\pi\)
\(182\) 1.01226e9 + 3.54205e8i 0.922585 + 0.322827i
\(183\) 1.42734e9 + 2.96390e9i 1.27269 + 2.64277i
\(184\) −6.26611e8 + 3.93726e8i −0.546672 + 0.343497i
\(185\) 1.66703e9 5.83319e8i 1.42317 0.497989i
\(186\) 1.77864e8 + 1.77864e8i 0.148606 + 0.148606i
\(187\) 1.25572e8 2.60752e8i 0.102689 0.213236i
\(188\) 5.26688e6 + 4.67449e7i 0.00421621 + 0.0374199i
\(189\) −3.12068e9 + 3.51616e8i −2.44569 + 0.275563i
\(190\) −1.52459e9 7.34205e8i −1.16987 0.563382i
\(191\) 6.63169e8 6.63169e8i 0.498300 0.498300i −0.412609 0.910908i \(-0.635382\pi\)
0.910908 + 0.412609i \(0.135382\pi\)
\(192\) 9.32953e8 + 2.66623e9i 0.686523 + 1.96197i
\(193\) −1.30206e9 2.07221e9i −0.938428 1.49350i −0.868347 0.495958i \(-0.834817\pi\)
−0.0700813 0.997541i \(-0.522326\pi\)
\(194\) 9.94316e7 4.78837e7i 0.0701969 0.0338050i
\(195\) −1.05960e9 + 3.02816e9i −0.732829 + 2.09430i
\(196\) −6.35497e7 + 1.45048e7i −0.0430615 + 0.00982851i
\(197\) 1.27057e9 1.59325e9i 0.843596 1.05784i −0.153967 0.988076i \(-0.549205\pi\)
0.997564 0.0697604i \(-0.0222235\pi\)
\(198\) 5.10735e8 + 6.40442e8i 0.332304 + 0.416696i
\(199\) −7.52161e7 + 3.29543e8i −0.0479621 + 0.210136i −0.993231 0.116157i \(-0.962942\pi\)
0.945269 + 0.326293i \(0.105800\pi\)
\(200\) 7.60717e7 1.21067e8i 0.0475448 0.0756671i
\(201\) 2.07616e8 1.84264e9i 0.127197 1.12890i
\(202\) 1.59993e9i 0.960941i
\(203\) 1.31735e9 + 6.98707e8i 0.775744 + 0.411444i
\(204\) −6.22940e8 −0.359687
\(205\) −9.53713e8 1.07458e8i −0.540010 0.0608446i
\(206\) −3.70616e8 2.32874e8i −0.205805 0.129316i
\(207\) 2.69430e9 + 6.14957e8i 1.46746 + 0.334937i
\(208\) −1.39591e9 + 1.11320e9i −0.745768 + 0.594730i
\(209\) 5.34752e8 + 4.26450e8i 0.280264 + 0.223503i
\(210\) −6.11339e8 2.67845e9i −0.314344 1.37723i
\(211\) 1.06297e9 + 3.71950e8i 0.536281 + 0.187653i 0.584812 0.811169i \(-0.301168\pi\)
−0.0485312 + 0.998822i \(0.515454\pi\)
\(212\) 2.43812e7 + 5.06281e7i 0.0120701 + 0.0250639i
\(213\) 4.21949e9 2.65128e9i 2.04994 1.28806i
\(214\) 4.34431e8 1.52014e8i 0.207141 0.0724817i
\(215\) 1.72586e9 + 1.72586e9i 0.807702 + 0.807702i
\(216\) 2.83697e9 5.89103e9i 1.30329 2.70630i
\(217\) 2.72660e7 + 2.41993e8i 0.0122965 + 0.109135i
\(218\) −2.07878e9 + 2.34222e8i −0.920413 + 0.103706i
\(219\) −5.68066e9 2.73566e9i −2.46958 1.18929i
\(220\) 7.26520e7 7.26520e7i 0.0310139 0.0310139i
\(221\) −9.73009e8 2.78070e9i −0.407894 1.16569i
\(222\) −3.41972e9 5.44245e9i −1.40792 2.24069i
\(223\) −3.11770e9 + 1.50140e9i −1.26071 + 0.607125i −0.940362 0.340176i \(-0.889513\pi\)
−0.320346 + 0.947301i \(0.603799\pi\)
\(224\) −2.77527e8 + 7.93126e8i −0.110233 + 0.315029i
\(225\) −5.20565e8 + 1.18816e8i −0.203116 + 0.0463600i
\(226\) −4.24770e8 + 5.32645e8i −0.162825 + 0.204176i
\(227\) −5.57710e8 6.99347e8i −0.210042 0.263384i 0.665640 0.746273i \(-0.268159\pi\)
−0.875681 + 0.482889i \(0.839587\pi\)
\(228\) 3.27596e8 1.43529e9i 0.121227 0.531129i
\(229\) −5.74269e8 + 9.13944e8i −0.208821 + 0.332336i −0.934669 0.355518i \(-0.884304\pi\)
0.725849 + 0.687854i \(0.241447\pi\)
\(230\) −1.62351e8 + 1.44090e9i −0.0580153 + 0.514900i
\(231\) 1.11047e9i 0.389995i
\(232\) −2.69103e9 + 1.54843e9i −0.928896 + 0.534490i
\(233\) −1.59224e9 −0.540237 −0.270119 0.962827i \(-0.587063\pi\)
−0.270119 + 0.962827i \(0.587063\pi\)
\(234\) 8.28600e9 + 9.33608e8i 2.76364 + 0.311387i
\(235\) 4.82551e8 + 3.03207e8i 0.158224 + 0.0994185i
\(236\) 9.08475e8 + 2.07353e8i 0.292863 + 0.0668441i
\(237\) 5.90404e9 4.70831e9i 1.87135 1.49235i
\(238\) 1.97242e9 + 1.57296e9i 0.614742 + 0.490240i
\(239\) 4.34614e8 + 1.90417e9i 0.133202 + 0.583598i 0.996837 + 0.0794786i \(0.0253255\pi\)
−0.863634 + 0.504119i \(0.831817\pi\)
\(240\) 4.31718e9 + 1.51065e9i 1.30123 + 0.455321i
\(241\) 1.58563e9 + 3.29259e9i 0.470039 + 0.976046i 0.992369 + 0.123302i \(0.0393485\pi\)
−0.522330 + 0.852743i \(0.674937\pi\)
\(242\) −2.46181e9 + 1.54686e9i −0.717782 + 0.451013i
\(243\) −7.66694e9 + 2.68278e9i −2.19886 + 0.769413i
\(244\) −7.58332e8 7.58332e8i −0.213944 0.213944i
\(245\) −3.42643e8 + 7.11506e8i −0.0950993 + 0.197476i
\(246\) 3.91079e8 + 3.47092e9i 0.106788 + 0.947773i
\(247\) 6.91859e9 7.79538e8i 1.85879 0.209435i
\(248\) −4.56819e8 2.19993e8i −0.120764 0.0581569i
\(249\) −7.03385e9 + 7.03385e9i −1.82977 + 1.82977i
\(250\) −1.20219e9 3.43566e9i −0.307760 0.879528i
\(251\) 1.69549e9 + 2.69835e9i 0.427168 + 0.679835i 0.989083 0.147361i \(-0.0470778\pi\)
−0.561914 + 0.827195i \(0.689935\pi\)
\(252\) 1.53795e9 7.40637e8i 0.381364 0.183655i
\(253\) 1.93575e8 5.53206e8i 0.0472463 0.135022i
\(254\) −3.11138e9 + 7.10152e8i −0.747512 + 0.170615i
\(255\) −4.70547e9 + 5.90047e9i −1.11286 + 1.39549i
\(256\) −1.48854e9 1.86657e9i −0.346578 0.434595i
\(257\) 1.83763e8 8.05120e8i 0.0421237 0.184556i −0.949489 0.313800i \(-0.898398\pi\)
0.991613 + 0.129244i \(0.0412550\pi\)
\(258\) 4.72591e9 7.52124e9i 1.06661 1.69750i
\(259\) 6.96739e8 6.18373e9i 0.154836 1.37421i
\(260\) 1.04588e9i 0.228869i
\(261\) 1.11947e10 + 3.01716e9i 2.41241 + 0.650184i
\(262\) 3.19275e9 0.677579
\(263\) −7.62164e9 8.58753e8i −1.59304 0.179492i −0.729572 0.683904i \(-0.760281\pi\)
−0.863463 + 0.504412i \(0.831709\pi\)
\(264\) −1.95768e9 1.23009e9i −0.403019 0.253234i
\(265\) 6.63716e8 + 1.51489e8i 0.134586 + 0.0307183i
\(266\) −4.66146e9 + 3.71739e9i −0.931098 + 0.742526i
\(267\) 2.59792e9 + 2.07177e9i 0.511188 + 0.407659i
\(268\) 1.34515e8 + 5.89349e8i 0.0260754 + 0.114244i
\(269\) −5.08748e9 1.78019e9i −0.971614 0.339983i −0.202634 0.979255i \(-0.564950\pi\)
−0.768981 + 0.639272i \(0.779236\pi\)
\(270\) −5.55868e9 1.15427e10i −1.04596 2.17197i
\(271\) −2.82728e9 + 1.77650e9i −0.524194 + 0.329373i −0.767999 0.640452i \(-0.778747\pi\)
0.243805 + 0.969824i \(0.421604\pi\)
\(272\) −3.96438e9 + 1.38720e9i −0.724269 + 0.253433i
\(273\) 7.99300e9 + 7.99300e9i 1.43899 + 1.43899i
\(274\) −4.42557e8 + 9.18979e8i −0.0785176 + 0.163043i
\(275\) 1.26788e7 + 1.12527e8i 0.00221691 + 0.0196756i
\(276\) −1.25360e9 + 1.41246e8i −0.216033 + 0.0243411i
\(277\) 2.10204e9 + 1.01229e9i 0.357044 + 0.171943i 0.603803 0.797134i \(-0.293651\pi\)
−0.246759 + 0.969077i \(0.579366\pi\)
\(278\) 1.30573e9 1.30573e9i 0.218613 0.218613i
\(279\) 6.25364e8 + 1.78719e9i 0.103209 + 0.294954i
\(280\) 2.94632e9 + 4.68904e9i 0.479344 + 0.762872i
\(281\) 1.02431e10 4.93280e9i 1.64288 0.791167i 0.643200 0.765698i \(-0.277606\pi\)
0.999676 0.0254692i \(-0.00810798\pi\)
\(282\) 6.85029e8 1.95770e9i 0.108321 0.309564i
\(283\) −8.57869e9 + 1.95803e9i −1.33744 + 0.305263i −0.830645 0.556802i \(-0.812028\pi\)
−0.506798 + 0.862065i \(0.669171\pi\)
\(284\) −1.01290e9 + 1.27014e9i −0.155702 + 0.195244i
\(285\) −1.11205e10 1.39447e10i −1.68556 2.11363i
\(286\) 3.93505e8 1.72406e9i 0.0588147 0.257684i
\(287\) −1.79912e9 + 2.86328e9i −0.265175 + 0.422023i
\(288\) −7.31500e8 + 6.49224e9i −0.106327 + 0.943680i
\(289\) 4.55036e7i 0.00652311i
\(290\) −9.15460e8 + 6.01403e9i −0.129434 + 0.850303i
\(291\) 1.16323e9 0.162216
\(292\) 2.04254e9 + 2.30139e8i 0.280956 + 0.0316562i
\(293\) 3.57318e8 + 2.24518e8i 0.0484824 + 0.0304635i 0.556055 0.831145i \(-0.312314\pi\)
−0.507573 + 0.861609i \(0.669457\pi\)
\(294\) 2.80200e9 + 6.39538e8i 0.375041 + 0.0856007i
\(295\) 8.82634e9 7.03877e9i 1.16545 0.929414i
\(296\) 1.01297e10 + 8.07816e9i 1.31956 + 1.05231i
\(297\) 1.15230e9 + 5.04855e9i 0.148095 + 0.648845i
\(298\) 4.12691e9 + 1.44407e9i 0.523311 + 0.183115i
\(299\) −2.58857e9 5.37522e9i −0.323873 0.672530i
\(300\) 2.06380e8 1.29677e8i 0.0254790 0.0160095i
\(301\) 8.11714e9 2.84031e9i 0.988865 0.346019i
\(302\) −4.71820e9 4.71820e9i −0.567217 0.567217i
\(303\) −7.31689e9 + 1.51937e10i −0.868072 + 1.80257i
\(304\) −1.11137e9 9.86369e9i −0.130126 1.15490i
\(305\) −1.29111e10 + 1.45473e9i −1.49198 + 0.168106i
\(306\) 1.76729e10 + 8.51081e9i 2.01568 + 0.970701i
\(307\) −5.10598e9 + 5.10598e9i −0.574812 + 0.574812i −0.933469 0.358657i \(-0.883235\pi\)
0.358657 + 0.933469i \(0.383235\pi\)
\(308\) −1.19566e8 3.41700e8i −0.0132863 0.0379702i
\(309\) −2.45454e9 3.90638e9i −0.269238 0.428490i
\(310\) −8.95080e8 + 4.31048e8i −0.0969203 + 0.0466744i
\(311\) 4.59408e9 1.31291e10i 0.491085 1.40344i −0.385729 0.922612i \(-0.626050\pi\)
0.876814 0.480829i \(-0.159664\pi\)
\(312\) −2.29451e10 + 5.23707e9i −2.42143 + 0.552675i
\(313\) 4.23995e9 5.31673e9i 0.441757 0.553946i −0.510248 0.860027i \(-0.670447\pi\)
0.952005 + 0.306081i \(0.0990180\pi\)
\(314\) 5.89963e9 + 7.39790e9i 0.606885 + 0.761010i
\(315\) 4.60183e9 2.01619e10i 0.467399 2.04781i
\(316\) −1.30977e9 + 2.08448e9i −0.131355 + 0.209050i
\(317\) −9.84383e8 + 8.73664e9i −0.0974826 + 0.865182i 0.845870 + 0.533390i \(0.179082\pi\)
−0.943352 + 0.331793i \(0.892347\pi\)
\(318\) 2.47763e9i 0.242286i
\(319\) 9.01670e8 2.28758e9i 0.0870732 0.220909i
\(320\) −1.11565e10 −1.06396
\(321\) 4.82074e9 + 5.43167e8i 0.454039 + 0.0511580i
\(322\) 4.32594e9 + 2.71817e9i 0.402399 + 0.252844i
\(323\) 1.59677e10 + 3.64453e9i 1.46701 + 0.334835i
\(324\) 4.56120e9 3.63744e9i 0.413904 0.330077i
\(325\) 9.01216e8 + 7.18695e8i 0.0807784 + 0.0644186i
\(326\) −3.82782e9 1.67708e10i −0.338907 1.48485i
\(327\) −2.08122e10 7.28249e9i −1.82023 0.636926i
\(328\) −3.05484e9 6.34343e9i −0.263932 0.548061i
\(329\) 1.70023e9 1.06832e9i 0.145119 0.0911842i
\(330\) −4.27598e9 + 1.49623e9i −0.360562 + 0.126166i
\(331\) −9.27437e9 9.27437e9i −0.772632 0.772632i 0.205934 0.978566i \(-0.433977\pi\)
−0.978566 + 0.205934i \(0.933977\pi\)
\(332\) 1.40703e9 2.92172e9i 0.115811 0.240484i
\(333\) −5.41727e9 4.80796e10i −0.440559 3.91007i
\(334\) 1.98777e10 2.23967e9i 1.59727 0.179970i
\(335\) 6.59838e9 + 3.17761e9i 0.523912 + 0.252303i
\(336\) 1.13954e10 1.13954e10i 0.894075 0.894075i
\(337\) 1.75663e9 + 5.02016e9i 0.136195 + 0.389223i 0.991700 0.128571i \(-0.0410391\pi\)
−0.855505 + 0.517794i \(0.826753\pi\)
\(338\) −3.33892e9 5.31386e9i −0.255823 0.407139i
\(339\) −6.46972e9 + 3.11565e9i −0.489877 + 0.235912i
\(340\) 8.12596e8 2.32227e9i 0.0608077 0.173779i
\(341\) 3.91489e8 8.93548e7i 0.0289536 0.00660846i
\(342\) −2.89034e10 + 3.62437e10i −2.11273 + 2.64928i
\(343\) 9.31280e9 + 1.16779e10i 0.672827 + 0.843699i
\(344\) −3.98427e9 + 1.74562e10i −0.284521 + 1.24657i
\(345\) −8.13134e9 + 1.29410e10i −0.573965 + 0.913461i
\(346\) 1.19681e9 1.06220e10i 0.0835068 0.741143i
\(347\) 1.04536e10i 0.721023i 0.932755 + 0.360511i \(0.117398\pi\)
−0.932755 + 0.360511i \(0.882602\pi\)
\(348\) −5.27830e9 + 3.87798e8i −0.359896 + 0.0264417i
\(349\) 7.80384e9 0.526026 0.263013 0.964792i \(-0.415284\pi\)
0.263013 + 0.964792i \(0.415284\pi\)
\(350\) −9.80907e8 1.10522e8i −0.0653665 0.00736504i
\(351\) 4.46328e10 + 2.80446e10i 2.94053 + 1.84766i
\(352\) 1.35083e9 + 3.08319e8i 0.0879895 + 0.0200830i
\(353\) 2.28766e9 1.82435e9i 0.147331 0.117492i −0.547051 0.837100i \(-0.684250\pi\)
0.694381 + 0.719607i \(0.255678\pi\)
\(354\) −3.21224e10 2.56168e10i −2.04548 1.63122i
\(355\) 4.37962e9 + 1.91884e10i 0.275755 + 1.20816i
\(356\) −1.02247e9 3.57778e8i −0.0636577 0.0222748i
\(357\) 1.15375e10 + 2.39578e10i 0.710295 + 1.47494i
\(358\) 2.50308e9 1.57279e9i 0.152385 0.0957499i
\(359\) −4.75722e9 + 1.66462e9i −0.286401 + 0.100216i −0.469657 0.882849i \(-0.655622\pi\)
0.183255 + 0.983065i \(0.441337\pi\)
\(360\) 3.04465e10 + 3.04465e10i 1.81271 + 1.81271i
\(361\) −9.42553e9 + 1.95723e10i −0.554980 + 1.15243i
\(362\) −3.55693e8 3.15686e9i −0.0207129 0.183832i
\(363\) −3.04525e10 + 3.43118e9i −1.75387 + 0.197614i
\(364\) −3.32013e9 1.59889e9i −0.189125 0.0910778i
\(365\) 1.76085e10 1.76085e10i 0.992088 0.992088i
\(366\) 1.56174e10 + 4.46321e10i 0.870334 + 2.48727i
\(367\) −1.27755e10 2.03321e10i −0.704228 1.12077i −0.986865 0.161546i \(-0.948352\pi\)
0.282637 0.959227i \(-0.408791\pi\)
\(368\) −7.66334e9 + 3.69047e9i −0.417856 + 0.201229i
\(369\) −8.68387e9 + 2.48171e10i −0.468390 + 1.33858i
\(370\) 2.47499e10 5.64899e9i 1.32058 0.301415i
\(371\) 1.49556e9 1.87537e9i 0.0789420 0.0989901i
\(372\) −5.38895e8 6.75753e8i −0.0281406 0.0352871i
\(373\) 1.30738e9 5.72800e9i 0.0675408 0.295916i −0.929865 0.367901i \(-0.880076\pi\)
0.997406 + 0.0719856i \(0.0229336\pi\)
\(374\) 2.21325e9 3.52237e9i 0.113121 0.180031i
\(375\) 4.29559e9 3.81244e10i 0.217219 1.92787i
\(376\) 4.18079e9i 0.209174i
\(377\) −9.97558e9 2.29557e10i −0.493825 1.13639i
\(378\) −4.51402e10 −2.21104
\(379\) −1.62924e10 1.83572e9i −0.789640 0.0889710i −0.292072 0.956396i \(-0.594345\pi\)
−0.497567 + 0.867425i \(0.665773\pi\)
\(380\) 4.92331e9 + 3.09352e9i 0.236114 + 0.148360i
\(381\) −3.27947e10 7.48517e9i −1.55634 0.355224i
\(382\) 1.05397e10 8.40511e9i 0.494964 0.394721i
\(383\) 7.76030e9 + 6.18863e9i 0.360648 + 0.287607i 0.787003 0.616949i \(-0.211631\pi\)
−0.426356 + 0.904556i \(0.640203\pi\)
\(384\) 5.59521e9 + 2.45142e10i 0.257331 + 1.12744i
\(385\) −4.13974e9 1.44856e9i −0.188421 0.0659314i
\(386\) −1.52630e10 3.16940e10i −0.687529 1.42767i
\(387\) 5.66157e10 3.55740e10i 2.52402 1.58595i
\(388\) −3.57935e8 + 1.25247e8i −0.0157935 + 0.00552637i
\(389\) 4.17754e9 + 4.17754e9i 0.182441 + 0.182441i 0.792419 0.609978i \(-0.208822\pi\)
−0.609978 + 0.792419i \(0.708822\pi\)
\(390\) −2.00082e10 + 4.15475e10i −0.864868 + 1.79592i
\(391\) −1.57138e9 1.39464e10i −0.0672316 0.596697i
\(392\) −5.75687e9 + 6.48644e8i −0.243805 + 0.0274702i
\(393\) 3.03198e10 + 1.46012e10i 1.27103 + 0.612096i
\(394\) 2.07124e10 2.07124e10i 0.859499 0.859499i
\(395\) 9.85064e9 + 2.81515e10i 0.404647 + 1.15641i
\(396\) −1.49753e9 2.38330e9i −0.0608968 0.0969167i
\(397\) 1.32508e10 6.38126e9i 0.533435 0.256889i −0.147719 0.989029i \(-0.547193\pi\)
0.681153 + 0.732141i \(0.261479\pi\)
\(398\) −1.60471e9 + 4.58599e9i −0.0639534 + 0.182768i
\(399\) −6.12677e10 + 1.39840e10i −2.41735 + 0.551745i
\(400\) 1.02463e9 1.28484e9i 0.0400246 0.0501892i
\(401\) 2.06975e10 + 2.59539e10i 0.800463 + 1.00375i 0.999717 + 0.0238005i \(0.00757665\pi\)
−0.199254 + 0.979948i \(0.563852\pi\)
\(402\) 5.93097e9 2.59853e10i 0.227102 0.995000i
\(403\) 2.17472e9 3.46104e9i 0.0824485 0.131216i
\(404\) 6.15536e8 5.46303e9i 0.0231062 0.205073i
\(405\) 7.06796e10i 2.62708i
\(406\) 1.76920e10 + 1.21001e10i 0.651138 + 0.445333i
\(407\) −1.02611e10 −0.373954
\(408\) −5.50163e10 6.19885e9i −1.98541 0.223702i
\(409\) 7.84126e9 + 4.92699e9i 0.280216 + 0.176071i 0.664806 0.747016i \(-0.268514\pi\)
−0.384590 + 0.923087i \(0.625657\pi\)
\(410\) −1.34494e10 3.06975e9i −0.475958 0.108634i
\(411\) −8.40542e9 + 6.70310e9i −0.294573 + 0.234914i
\(412\) 1.17589e9 + 9.37740e8i 0.0408110 + 0.0325457i
\(413\) −8.85122e9 3.87797e10i −0.304231 1.33292i
\(414\) 3.74944e10 + 1.31199e10i 1.27634 + 0.446610i
\(415\) −1.70463e10 3.53969e10i −0.574694 1.19337i
\(416\) 1.19423e10 7.50386e9i 0.398764 0.250560i
\(417\) 1.83712e10 6.42838e9i 0.607567 0.212597i
\(418\) 6.95183e9 + 6.95183e9i 0.227716 + 0.227716i
\(419\) 1.57585e9 3.27229e9i 0.0511281 0.106168i −0.873840 0.486214i \(-0.838377\pi\)
0.924968 + 0.380046i \(0.124092\pi\)
\(420\) 1.05697e9 + 9.38087e9i 0.0339676 + 0.301471i
\(421\) −3.27783e10 + 3.69322e9i −1.04342 + 0.117565i −0.617001 0.786963i \(-0.711652\pi\)
−0.426416 + 0.904527i \(0.640224\pi\)
\(422\) 1.45844e10 + 7.02347e9i 0.459874 + 0.221463i
\(423\) 1.10398e10 1.10398e10i 0.344826 0.344826i
\(424\) 1.64948e9 + 4.71396e9i 0.0510370 + 0.145855i
\(425\) 1.44267e9 + 2.29600e9i 0.0442192 + 0.0703745i
\(426\) 6.45361e10 3.10789e10i 1.95959 0.943687i
\(427\) −1.51198e10 + 4.32100e10i −0.454816 + 1.29979i
\(428\) −1.54186e9 + 3.51920e8i −0.0459484 + 0.0104874i
\(429\) 1.16214e10 1.45728e10i 0.343108 0.430243i
\(430\) 2.18738e10 + 2.74289e10i 0.639809 + 0.802295i
\(431\) 1.29876e9 5.69025e9i 0.0376375 0.164901i −0.952616 0.304174i \(-0.901620\pi\)
0.990254 + 0.139273i \(0.0444767\pi\)
\(432\) 3.99826e10 6.36320e10i 1.14799 1.82701i
\(433\) −3.60052e9 + 3.19555e10i −0.102427 + 0.909063i 0.832452 + 0.554097i \(0.186936\pi\)
−0.934879 + 0.354966i \(0.884492\pi\)
\(434\) 3.50039e9i 0.0986637i
\(435\) −3.61972e10 + 5.29253e10i −1.01092 + 1.47811i
\(436\) 7.18818e9 0.198918
\(437\) 3.29596e10 + 3.71366e9i 0.903766 + 0.101830i
\(438\) −7.67372e10 4.82172e10i −2.08502 1.31010i
\(439\) −1.36733e10 3.12084e9i −0.368141 0.0840259i 0.0344481 0.999406i \(-0.489033\pi\)
−0.402590 + 0.915381i \(0.631890\pi\)
\(440\) 7.13938e9 5.69347e9i 0.190480 0.151903i
\(441\) 1.69144e10 + 1.34888e10i 0.447201 + 0.356631i
\(442\) −9.42283e9 4.12841e10i −0.246884 1.08167i
\(443\) −4.59318e10 1.60722e10i −1.19261 0.417313i −0.340285 0.940322i \(-0.610523\pi\)
−0.852327 + 0.523010i \(0.824809\pi\)
\(444\) 9.58290e9 + 1.98991e10i 0.246584 + 0.512037i
\(445\) −1.11123e10 + 6.98230e9i −0.283376 + 0.178057i
\(446\) −4.69480e10 + 1.64278e10i −1.18653 + 0.415184i
\(447\) 3.25869e10 + 3.25869e10i 0.816230 + 0.816230i
\(448\) −1.70555e10 + 3.54161e10i −0.423401 + 0.879202i
\(449\) 6.04880e9 + 5.36846e10i 0.148828 + 1.32088i 0.816897 + 0.576784i \(0.195693\pi\)
−0.668069 + 0.744100i \(0.732879\pi\)
\(450\) −7.62673e9 + 8.59326e8i −0.185989 + 0.0209560i
\(451\) 5.02385e9 + 2.41936e9i 0.121431 + 0.0584782i
\(452\) 1.65532e9 1.65532e9i 0.0396577 0.0396577i
\(453\) −2.32286e10 6.63836e10i −0.551608 1.57641i
\(454\) −6.84057e9 1.08867e10i −0.161016 0.256255i
\(455\) −4.02237e10 + 1.93707e10i −0.938505 + 0.451960i
\(456\) 4.32149e10 1.23501e11i 0.999480 2.85635i
\(457\) −5.48417e10 + 1.25173e10i −1.25732 + 0.286975i −0.798739 0.601677i \(-0.794499\pi\)
−0.458581 + 0.888652i \(0.651642\pi\)
\(458\) −9.67346e9 + 1.21301e10i −0.219847 + 0.275679i
\(459\) 7.73134e10 + 9.69479e10i 1.74182 + 2.18418i
\(460\) 1.10870e9 4.85755e9i 0.0247619 0.108489i
\(461\) 7.31071e8 1.16349e9i 0.0161866 0.0257608i −0.838533 0.544851i \(-0.816586\pi\)
0.854720 + 0.519090i \(0.173729\pi\)
\(462\) −1.78715e9 + 1.58614e10i −0.0392278 + 0.348156i
\(463\) 1.16149e9i 0.0252750i −0.999920 0.0126375i \(-0.995977\pi\)
0.999920 0.0126375i \(-0.00402274\pi\)
\(464\) −3.27275e10 + 1.42220e10i −0.706059 + 0.306823i
\(465\) −1.04713e10 −0.223970
\(466\) −2.27428e10 2.56250e9i −0.482281 0.0543400i
\(467\) 4.11328e10 + 2.58454e10i 0.864810 + 0.543396i 0.889831 0.456291i \(-0.150822\pi\)
−0.0250209 + 0.999687i \(0.507965\pi\)
\(468\) −2.79337e10 6.37567e9i −0.582297 0.132905i
\(469\) 2.01746e10 1.60887e10i 0.416979 0.332529i
\(470\) 6.40455e9 + 5.10746e9i 0.131249 + 0.104668i
\(471\) 2.21931e10 + 9.72341e10i 0.450955 + 1.97576i
\(472\) 7.81706e10 + 2.73531e10i 1.57498 + 0.551110i
\(473\) −6.15267e9 1.27761e10i −0.122919 0.255244i
\(474\) 9.19079e10 5.77495e10i 1.82070 1.14402i
\(475\) −6.04879e9 + 2.11656e9i −0.118821 + 0.0415774i
\(476\) −6.12976e9 6.12976e9i −0.119403 0.119403i
\(477\) 8.09204e9 1.68033e10i 0.156309 0.324580i
\(478\) 3.14331e9 + 2.78977e10i 0.0602110 + 0.534388i
\(479\) 2.30151e10 2.59318e9i 0.437191 0.0492596i 0.109374 0.994001i \(-0.465115\pi\)
0.327818 + 0.944741i \(0.393687\pi\)
\(480\) −3.25533e10 1.56768e10i −0.613239 0.295320i
\(481\) −7.38581e10 + 7.38581e10i −1.37981 + 1.37981i
\(482\) 1.73494e10 + 4.95817e10i 0.321437 + 0.918615i
\(483\) 2.86501e10 + 4.55964e10i 0.526427 + 0.837804i
\(484\) 9.00105e9 4.33467e9i 0.164026 0.0789905i
\(485\) −1.51738e9 + 4.33642e9i −0.0274238 + 0.0783726i
\(486\) −1.13829e11 + 2.59806e10i −2.04036 + 0.465698i
\(487\) −3.02225e10 + 3.78978e10i −0.537297 + 0.673749i −0.974181 0.225769i \(-0.927511\pi\)
0.436884 + 0.899518i \(0.356082\pi\)
\(488\) −5.94277e10 7.45199e10i −1.04787 1.31399i
\(489\) 4.03462e10 1.76768e11i 0.705613 3.09149i
\(490\) −6.03922e9 + 9.61137e9i −0.104760 + 0.166725i
\(491\) −1.07271e10 + 9.52057e10i −0.184568 + 1.63809i 0.470417 + 0.882444i \(0.344104\pi\)
−0.654985 + 0.755642i \(0.727325\pi\)
\(492\) 1.20020e10i 0.204831i
\(493\) −4.31428e9 5.87216e10i −0.0730333 0.994054i
\(494\) 1.00076e11 1.68044
\(495\) −3.38864e10 3.81808e9i −0.564423 0.0635952i
\(496\) −4.93433e9 3.10045e9i −0.0815271 0.0512269i
\(497\) 6.76087e10 + 1.54312e10i 1.10810 + 0.252916i
\(498\) −1.11788e11 + 8.91482e10i −1.81752 + 1.44942i
\(499\) −4.71394e9 3.75924e9i −0.0760295 0.0606315i 0.584738 0.811222i \(-0.301197\pi\)
−0.660767 + 0.750591i \(0.729769\pi\)
\(500\) 2.78313e9 + 1.21937e10i 0.0445300 + 0.195099i
\(501\) 1.99009e11 + 6.96364e10i 3.15881 + 1.10531i
\(502\) 1.98749e10 + 4.12706e10i 0.312961 + 0.649869i
\(503\) 5.77993e9 3.63177e9i 0.0902922 0.0567344i −0.486129 0.873887i \(-0.661592\pi\)
0.576421 + 0.817153i \(0.304449\pi\)
\(504\) 1.43197e11 5.01069e10i 2.21929 0.776561i
\(505\) −4.70962e10 4.70962e10i −0.724136 0.724136i
\(506\) 3.65525e9 7.59020e9i 0.0557590 0.115785i
\(507\) −7.40626e9 6.57324e10i −0.112090 0.994827i
\(508\) 1.08971e10 1.22781e9i 0.163628 0.0184364i
\(509\) −7.42500e10 3.57569e10i −1.10618 0.532707i −0.210583 0.977576i \(-0.567536\pi\)
−0.895596 + 0.444869i \(0.853250\pi\)
\(510\) −7.67067e10 + 7.67067e10i −1.13384 + 1.13384i
\(511\) −2.89789e10 8.28171e10i −0.425010 1.21461i
\(512\) −4.08623e10 6.50319e10i −0.594624 0.946339i
\(513\) −2.64032e11 + 1.27151e11i −3.81230 + 1.83591i
\(514\) 3.92052e9 1.12042e10i 0.0561683 0.160520i
\(515\) 1.77645e10 4.05463e9i 0.252537 0.0576398i
\(516\) −1.90304e10 + 2.38633e10i −0.268441 + 0.336614i
\(517\) −2.06443e9 2.58871e9i −0.0288960 0.0362345i
\(518\) 1.99038e10 8.72042e10i 0.276450 1.21121i
\(519\) 5.99425e10 9.53979e10i 0.826162 1.31483i
\(520\) 1.04075e10 9.23689e10i 0.142342 1.26332i
\(521\) 1.88280e10i 0.255537i −0.991804 0.127768i \(-0.959219\pi\)
0.991804 0.127768i \(-0.0407814\pi\)
\(522\) 1.55044e11 + 6.11121e10i 2.08821 + 0.823086i
\(523\) 8.25182e10 1.10292 0.551459 0.834202i \(-0.314071\pi\)
0.551459 + 0.834202i \(0.314071\pi\)
\(524\) −1.09018e10 1.22833e9i −0.144601 0.0162926i
\(525\) −8.80967e9 5.53548e9i −0.115964 0.0728649i
\(526\) −1.07482e11 2.45320e10i −1.40408 0.320472i
\(527\) 7.51781e9 5.99526e9i 0.0974651 0.0777258i
\(528\) −2.07761e10 1.65684e10i −0.267319 0.213179i
\(529\) 1.11014e10 + 4.86384e10i 0.141760 + 0.621093i
\(530\) 9.23640e9 + 3.23196e9i 0.117058 + 0.0409602i
\(531\) −1.34189e11 2.78646e11i −1.68787 3.50489i
\(532\) 1.73469e10 1.08998e10i 0.216558 0.136073i
\(533\) 5.35751e10 1.87467e10i 0.663826 0.232283i
\(534\) 3.37732e10 + 3.37732e10i 0.415344 + 0.415344i
\(535\) −8.31331e9 + 1.72628e10i −0.101475 + 0.210715i
\(536\) 6.01541e9 + 5.33883e10i 0.0728796 + 0.646825i
\(537\) 3.09631e10 3.48870e9i 0.372346 0.0419533i
\(538\) −6.98022e10 3.36150e10i −0.833183 0.401240i
\(539\) 3.24432e9 3.24432e9i 0.0384387 0.0384387i
\(540\) 1.45395e10 + 4.15516e10i 0.170992 + 0.488667i
\(541\) −1.28553e10 2.04590e10i −0.150069 0.238834i 0.763226 0.646131i \(-0.223614\pi\)
−0.913296 + 0.407297i \(0.866471\pi\)
\(542\) −4.32426e10 + 2.08245e10i −0.501089 + 0.241312i
\(543\) 1.10593e10 3.16056e10i 0.127212 0.363550i
\(544\) 3.23469e10 7.38297e9i 0.369349 0.0843016i
\(545\) 5.42970e10 6.80863e10i 0.615446 0.771745i
\(546\) 1.01305e11 + 1.27032e11i 1.13988 + 1.42936i
\(547\) −2.41784e10 + 1.05932e11i −0.270071 + 1.18326i 0.639858 + 0.768493i \(0.278993\pi\)
−0.909929 + 0.414765i \(0.863864\pi\)
\(548\) 1.86468e9 2.96762e9i 0.0206767 0.0329069i
\(549\) −3.98526e10 + 3.53702e11i −0.438700 + 3.89357i
\(550\) 1.62769e9i 0.0177878i
\(551\) 1.37567e11 + 2.09405e10i 1.49248 + 0.227186i
\(552\) −1.12120e11 −1.20761
\(553\) 1.04426e11 + 1.17660e10i 1.11663 + 0.125814i
\(554\) 2.83954e10 + 1.78420e10i 0.301445 + 0.189411i
\(555\) 2.60870e11 + 5.95418e10i 2.74949 + 0.627552i
\(556\) −4.96082e9 + 3.95612e9i −0.0519104 + 0.0413972i
\(557\) −5.70082e10 4.54625e10i −0.592266 0.472316i 0.280902 0.959737i \(-0.409366\pi\)
−0.873167 + 0.487420i \(0.837938\pi\)
\(558\) 6.05617e9 + 2.65338e10i 0.0624685 + 0.273692i
\(559\) −1.36247e11 4.76748e10i −1.39534 0.488249i
\(560\) 2.76164e10 + 5.73461e10i 0.280812 + 0.583111i
\(561\) 3.71266e10 2.33282e10i 0.374830 0.235521i
\(562\) 1.54246e11 5.39729e10i 1.54621 0.541042i
\(563\) −1.08358e11 1.08358e11i −1.07852 1.07852i −0.996642 0.0818790i \(-0.973908\pi\)
−0.0818790 0.996642i \(-0.526092\pi\)
\(564\) −3.09223e9 + 6.42109e9i −0.0305602 + 0.0634589i
\(565\) −3.17544e9 2.81828e10i −0.0311609 0.276560i
\(566\) −1.25685e11 + 1.41613e10i −1.22467 + 0.137987i
\(567\) −2.24372e11 1.08052e11i −2.17088 1.04544i
\(568\) −1.02096e11 + 1.02096e11i −0.980878 + 0.980878i
\(569\) −3.45783e10 9.88192e10i −0.329879 0.942741i −0.982696 0.185225i \(-0.940699\pi\)
0.652817 0.757516i \(-0.273587\pi\)
\(570\) −1.36398e11 2.17076e11i −1.29214 2.05642i
\(571\) 1.64324e11 7.91342e10i 1.54581 0.744423i 0.549940 0.835204i \(-0.314651\pi\)
0.995871 + 0.0907807i \(0.0289362\pi\)
\(572\) −2.00693e9 + 5.73546e9i −0.0187477 + 0.0535777i
\(573\) 1.38528e11 3.16181e10i 1.28505 0.293303i
\(574\) −3.03058e10 + 3.80023e10i −0.279176 + 0.350076i
\(575\) 3.42381e9 + 4.29332e9i 0.0313212 + 0.0392755i
\(576\) −6.80099e10 + 2.97971e11i −0.617849 + 2.70697i
\(577\) 2.02750e10 3.22675e10i 0.182919 0.291113i −0.742660 0.669669i \(-0.766436\pi\)
0.925579 + 0.378555i \(0.123579\pi\)
\(578\) −7.32320e7 + 6.49952e8i −0.000656130 + 0.00582331i
\(579\) 3.70781e11i 3.29916i
\(580\) 5.43962e9 2.01829e10i 0.0480681 0.178350i
\(581\) −1.38427e11 −1.21483
\(582\) 1.66150e10 + 1.87206e9i 0.144813 + 0.0163166i
\(583\) −3.34905e9 2.10435e9i −0.0289900 0.0182156i
\(584\) 1.78101e11 + 4.06504e10i 1.53114 + 0.349473i
\(585\) −2.71391e11 + 2.16427e11i −2.31725 + 1.84794i
\(586\) 4.74243e9 + 3.78196e9i 0.0402171 + 0.0320720i
\(587\) −2.38823e10 1.04635e11i −0.201152 0.881303i −0.970237 0.242157i \(-0.922145\pi\)
0.769085 0.639146i \(-0.220712\pi\)
\(588\) −9.32148e9 3.26173e9i −0.0779786 0.0272859i
\(589\) 9.85991e9 + 2.04743e10i 0.0819241 + 0.170117i
\(590\) 1.37399e11 8.63337e10i 1.13390 0.712479i
\(591\) 2.91416e11 1.01971e11i 2.38871 0.835847i
\(592\) 1.05298e11 + 1.05298e11i 0.857301 + 0.857301i
\(593\) −8.16991e10 + 1.69650e11i −0.660691 + 1.37194i 0.253770 + 0.967265i \(0.418329\pi\)
−0.914461 + 0.404674i \(0.867385\pi\)
\(594\) 8.33391e9 + 7.39655e10i 0.0669427 + 0.594133i
\(595\) −1.04363e11 + 1.17589e10i −0.832680 + 0.0938206i
\(596\) −1.35359e10 6.51855e9i −0.107276 0.0516614i
\(597\) −3.62118e10 + 3.62118e10i −0.285071 + 0.285071i
\(598\) −2.83232e10 8.09431e10i −0.221482 0.632958i
\(599\) 3.67097e10 + 5.84232e10i 0.285150 + 0.453814i 0.958329 0.285665i \(-0.0922146\pi\)
−0.673179 + 0.739479i \(0.735072\pi\)
\(600\) 1.95173e10 9.39905e9i 0.150597 0.0725236i
\(601\) −2.32162e10 + 6.63482e10i −0.177948 + 0.508547i −0.997963 0.0637955i \(-0.979679\pi\)
0.820015 + 0.572342i \(0.193965\pi\)
\(602\) 1.20512e11 2.75062e10i 0.917584 0.209433i
\(603\) 1.25093e11 1.56861e11i 0.946156 1.18644i
\(604\) 1.42953e10 + 1.79257e10i 0.107410 + 0.134688i
\(605\) 2.69328e10 1.18000e11i 0.201030 0.880768i
\(606\) −1.28963e11 + 2.05244e11i −0.956258 + 1.52188i
\(607\) −1.13792e10 + 1.00993e11i −0.0838215 + 0.743937i 0.879557 + 0.475793i \(0.157839\pi\)
−0.963379 + 0.268144i \(0.913590\pi\)
\(608\) 7.84119e10i 0.573809i
\(609\) 1.12674e11 + 1.95818e11i 0.819134 + 1.42358i
\(610\) −1.86757e11 −1.34883
\(611\) −3.34926e10 3.77371e9i −0.240317 0.0270772i
\(612\) −5.70704e10 3.58597e10i −0.406822 0.255623i
\(613\) −1.44570e11 3.29971e10i −1.02385 0.233687i −0.322549 0.946553i \(-0.604540\pi\)
−0.701300 + 0.712866i \(0.747397\pi\)
\(614\) −8.11488e10 + 6.47140e10i −0.570964 + 0.455329i
\(615\) −1.13683e11 9.06592e10i −0.794685 0.633740i
\(616\) −7.15950e9 3.13678e10i −0.0497233 0.217852i
\(617\) 2.60837e11 + 9.12709e10i 1.79982 + 0.629784i 0.999545 + 0.0301480i \(0.00959786\pi\)
0.800273 + 0.599636i \(0.204688\pi\)
\(618\) −2.87727e10 5.97472e10i −0.197255 0.409604i
\(619\) −2.21779e11 + 1.39353e11i −1.51063 + 0.949190i −0.514860 + 0.857274i \(0.672156\pi\)
−0.995767 + 0.0919155i \(0.970701\pi\)
\(620\) 3.22212e9 1.12747e9i 0.0218059 0.00763022i
\(621\) 1.77566e11 + 1.77566e11i 1.19397 + 1.19397i
\(622\) 8.67493e10 1.80137e11i 0.579568 1.20348i
\(623\) 5.17732e9 + 4.59500e10i 0.0343679 + 0.305024i
\(624\) −2.68801e11 + 3.02866e10i −1.77293 + 0.199761i
\(625\) 1.25057e11 + 6.02244e10i 0.819576 + 0.394687i
\(626\) 6.91180e10 6.91180e10i 0.450084 0.450084i
\(627\) 3.42252e10 + 9.78100e10i 0.221450 + 0.632868i
\(628\) −1.72983e10 2.75301e10i −0.111216 0.176999i
\(629\) −2.21379e11 + 1.06611e11i −1.41428 + 0.681079i
\(630\) 9.81782e10 2.80577e11i 0.623237 1.78111i
\(631\) −9.09676e10 + 2.07628e10i −0.573811 + 0.130969i −0.499573 0.866272i \(-0.666510\pi\)
−0.0742384 + 0.997241i \(0.523653\pi\)
\(632\) −1.36418e11 + 1.71062e11i −0.855071 + 1.07222i
\(633\) 1.06380e11 + 1.33396e11i 0.662588 + 0.830859i
\(634\) −2.81209e10 + 1.23206e11i −0.174049 + 0.762561i
\(635\) 7.06832e10 1.12492e11i 0.434732 0.691872i
\(636\) −9.53209e8 + 8.45996e9i −0.00582585 + 0.0517059i
\(637\) 4.67043e10i 0.283660i
\(638\) 1.65606e10 3.12236e10i 0.0999523 0.188452i
\(639\) 5.39189e11 3.23398
\(640\) −9.86856e10 1.11192e10i −0.588212 0.0662756i
\(641\) 8.32136e10 + 5.22866e10i 0.492904 + 0.309712i 0.755449 0.655208i \(-0.227419\pi\)
−0.262545 + 0.964920i \(0.584562\pi\)
\(642\) 6.79830e10 + 1.55167e10i 0.400185 + 0.0913395i
\(643\) −1.64258e11 + 1.30992e11i −0.960911 + 0.766301i −0.972325 0.233634i \(-0.924938\pi\)
0.0114136 + 0.999935i \(0.496367\pi\)
\(644\) −1.37253e10 1.09456e10i −0.0797956 0.0636348i
\(645\) 8.22842e10 + 3.60511e11i 0.475420 + 2.08295i
\(646\) 2.22210e11 + 7.77546e10i 1.27595 + 0.446474i
\(647\) 8.66072e10 + 1.79842e11i 0.494239 + 1.02630i 0.987675 + 0.156516i \(0.0500263\pi\)
−0.493436 + 0.869782i \(0.664259\pi\)
\(648\) 4.39029e11 2.75860e11i 2.48997 1.56455i
\(649\) −6.19093e10 + 2.16630e10i −0.348961 + 0.122107i
\(650\) 1.17159e10 + 1.17159e10i 0.0656330 + 0.0656330i
\(651\) −1.60081e10 + 3.32412e10i −0.0891285 + 0.185077i
\(652\) 6.61808e9 + 5.87370e10i 0.0366219 + 0.325029i
\(653\) −1.05869e11 + 1.19286e10i −0.582261 + 0.0656050i −0.398182 0.917306i \(-0.630359\pi\)
−0.184079 + 0.982912i \(0.558930\pi\)
\(654\) −2.85551e11 1.37514e11i −1.56089 0.751686i
\(655\) −9.39829e10 + 9.39829e10i −0.510603 + 0.510603i
\(656\) −2.67268e10 7.63809e10i −0.144322 0.412448i
\(657\) −3.62952e11 5.77636e11i −1.94800 3.10022i
\(658\) 2.60046e10 1.25232e10i 0.138722 0.0668052i
\(659\) 3.22051e10 9.20368e10i 0.170759 0.488000i −0.826421 0.563053i \(-0.809627\pi\)
0.997180 + 0.0750526i \(0.0239125\pi\)
\(660\) 1.51761e10 3.46385e9i 0.0799806 0.0182550i
\(661\) −7.45735e10 + 9.35122e10i −0.390642 + 0.489849i −0.937798 0.347181i \(-0.887139\pi\)
0.547156 + 0.837030i \(0.315710\pi\)
\(662\) −1.17545e11 1.47397e11i −0.612029 0.767460i
\(663\) 9.93190e10 4.35145e11i 0.514018 2.25206i
\(664\) 1.53339e11 2.44037e11i 0.788822 1.25540i
\(665\) 2.77899e10 2.46642e11i 0.142102 1.26119i
\(666\) 6.95465e11i 3.53491i
\(667\) −2.19966e10 1.17192e11i −0.111135 0.592101i
\(668\) −6.87346e10 −0.345199
\(669\) −5.20967e11 5.86989e10i −2.60079 0.293039i
\(670\) 8.91342e10 + 5.60067e10i 0.442329 + 0.277934i
\(671\) 7.35943e10 + 1.67974e10i 0.363040 + 0.0828615i
\(672\) −9.95319e10 + 7.93741e10i −0.488074 + 0.389226i
\(673\) 3.84111e10 + 3.06318e10i 0.187239 + 0.149318i 0.712623 0.701547i \(-0.247507\pi\)
−0.525384 + 0.850865i \(0.676078\pi\)
\(674\) 1.70116e10 + 7.45327e10i 0.0824339 + 0.361166i
\(675\) −4.57956e10 1.60246e10i −0.220601 0.0771918i
\(676\) 9.35647e9 + 1.94289e10i 0.0448049 + 0.0930383i
\(677\) 6.81476e10 4.28200e10i 0.324411 0.203841i −0.359973 0.932963i \(-0.617214\pi\)
0.684384 + 0.729122i \(0.260071\pi\)
\(678\) −9.74246e10 + 3.40904e10i −0.461052 + 0.161329i
\(679\) 1.14462e10 + 1.14462e10i 0.0538497 + 0.0538497i
\(680\) 9.48750e10 1.97010e11i 0.443727 0.921409i
\(681\) −1.51735e10 1.34668e11i −0.0705499 0.626148i
\(682\) 5.73565e9 6.46253e8i 0.0265122 0.00298720i
\(683\) 2.31254e11 + 1.11366e11i 1.06269 + 0.511764i 0.881744 0.471729i \(-0.156370\pi\)
0.180946 + 0.983493i \(0.442084\pi\)
\(684\) 1.12635e11 1.12635e11i 0.514577 0.514577i
\(685\) −1.40241e10 4.00786e10i −0.0636961 0.182033i
\(686\) 1.14226e11 + 1.81789e11i 0.515783 + 0.820864i
\(687\) −1.47337e11 + 7.09539e10i −0.661433 + 0.318529i
\(688\) −6.79690e10 + 1.94244e11i −0.303359 + 0.866950i
\(689\) −3.92528e10 + 8.95919e9i −0.174178 + 0.0397550i
\(690\) −1.36971e11 + 1.71756e11i −0.604271 + 0.757732i
\(691\) 5.37257e10 + 6.73698e10i 0.235651 + 0.295497i 0.885570 0.464507i \(-0.153768\pi\)
−0.649918 + 0.760004i \(0.725197\pi\)
\(692\) −8.17312e9 + 3.58088e10i −0.0356421 + 0.156158i
\(693\) −6.39245e10 + 1.01735e11i −0.277162 + 0.441102i
\(694\) −1.68237e10 + 1.49315e11i −0.0725244 + 0.643672i
\(695\) 7.68720e10i 0.329480i
\(696\) −4.70024e11 1.82750e10i −2.00301 0.0778788i
\(697\) 1.33524e11 0.565753
\(698\) 1.11466e11 + 1.25593e10i 0.469594 + 0.0529105i
\(699\) −2.04257e11 1.28343e11i −0.855593 0.537605i
\(700\) 3.30682e9 + 7.54760e8i 0.0137727 + 0.00314352i
\(701\) 2.40629e11 1.91895e11i 0.996497 0.794680i 0.0177688 0.999842i \(-0.494344\pi\)
0.978728 + 0.205163i \(0.0657723\pi\)
\(702\) 5.92379e11 + 4.72407e11i 2.43922 + 1.94521i
\(703\) −1.29217e11 5.66136e11i −0.529051 2.31792i
\(704\) 6.11808e10 + 2.14081e10i 0.249072 + 0.0871539i
\(705\) 3.74628e10 + 7.77922e10i 0.151650 + 0.314905i
\(706\) 3.56120e10 2.23765e10i 0.143343 0.0900685i
\(707\) −2.21505e11 + 7.75079e10i −0.886555 + 0.310219i
\(708\) 9.98276e10 + 9.98276e10i 0.397299 + 0.397299i
\(709\) 6.24907e10 1.29763e11i 0.247304 0.513531i −0.739955 0.672657i \(-0.765153\pi\)
0.987258 + 0.159125i \(0.0508674\pi\)
\(710\) 3.16753e10 + 2.81126e11i 0.124649 + 1.10629i
\(711\) 8.11931e11 9.14827e10i 3.17717 0.357981i
\(712\) −8.67417e10 4.17726e10i −0.337526 0.162544i
\(713\) 1.37694e10 1.37694e10i 0.0532790 0.0532790i
\(714\) 1.26239e11 + 3.60771e11i 0.485737 + 1.38816i
\(715\) 3.91666e10 + 6.23332e10i 0.149862 + 0.238504i
\(716\) −9.15194e9 + 4.40734e9i −0.0348226 + 0.0167697i
\(717\) −9.77325e10 + 2.79304e11i −0.369796 + 1.05682i
\(718\) −7.06288e10 + 1.61206e10i −0.265757 + 0.0606572i
\(719\) −1.02062e11 + 1.27982e11i −0.381900 + 0.478887i −0.935213 0.354086i \(-0.884792\pi\)
0.553313 + 0.832973i \(0.313363\pi\)
\(720\) 3.08556e11 + 3.86917e11i 1.14816 + 1.43975i
\(721\) 1.42862e10 6.25919e10i 0.0528658 0.231620i
\(722\) −1.66129e11 + 2.64393e11i −0.611359 + 0.972973i
\(723\) −6.19918e10 + 5.50193e11i −0.226872 + 2.01355i
\(724\) 1.09160e10i 0.0397293i
\(725\) 1.36534e10 + 1.85564e10i 0.0494183 + 0.0671647i
\(726\) −4.40492e11 −1.58559
\(727\) −1.47000e11 1.65630e10i −0.526236 0.0592926i −0.155150 0.987891i \(-0.549586\pi\)
−0.371086 + 0.928598i \(0.621015\pi\)
\(728\) −2.77314e11 1.74248e11i −0.987293 0.620358i
\(729\) −4.44231e11 1.01393e11i −1.57289 0.359002i
\(730\) 2.79850e11 2.23173e11i 0.985447 0.785868i
\(731\) −2.65482e11 2.11715e11i −0.929748 0.741449i
\(732\) −3.61552e10 1.58406e11i −0.125929 0.551732i
\(733\) 4.92566e11 + 1.72356e11i 1.70627 + 0.597051i 0.994441 0.105298i \(-0.0335798\pi\)
0.711833 + 0.702349i \(0.247866\pi\)
\(734\) −1.49757e11 3.10974e11i −0.515945 1.07137i
\(735\) −1.01306e11 + 6.36549e10i −0.347126 + 0.218113i
\(736\) 6.34205e10 2.21918e10i 0.216132 0.0756277i
\(737\) −3.00873e10 3.00873e10i −0.101979 0.101979i
\(738\) −1.63976e11 + 3.40500e11i −0.552783 + 1.14787i
\(739\) 1.67954e9 + 1.49063e10i 0.00563135 + 0.0499796i 0.996214 0.0869393i \(-0.0277086\pi\)
−0.990582 + 0.136919i \(0.956280\pi\)
\(740\) −8.66826e10 + 9.76678e9i −0.289071 + 0.0325705i
\(741\) 9.50369e11 + 4.57674e11i 3.15224 + 1.51804i
\(742\) 2.43800e10 2.43800e10i 0.0804301 0.0804301i
\(743\) −4.58665e10 1.31079e11i −0.150501 0.430108i 0.843807 0.536646i \(-0.180309\pi\)
−0.994309 + 0.106538i \(0.966023\pi\)
\(744\) −4.08694e10 6.50432e10i −0.133385 0.212281i
\(745\) −1.63989e11 + 7.89730e10i −0.532341 + 0.256362i
\(746\) 2.78925e10 7.97121e10i 0.0900599 0.257376i
\(747\) −1.04931e12 + 2.39498e11i −3.36993 + 0.769165i
\(748\) −8.91237e9 + 1.11758e10i −0.0284699 + 0.0357002i
\(749\) 4.20915e10 + 5.27811e10i 0.133742 + 0.167707i
\(750\) 1.22712e11 5.37637e11i 0.387831 1.69920i
\(751\) 2.05962e11 3.27787e11i 0.647482 1.03046i −0.348181 0.937427i \(-0.613201\pi\)
0.995663 0.0930342i \(-0.0296566\pi\)
\(752\) −5.38010e9 + 4.77498e10i −0.0168236 + 0.149314i
\(753\) 4.82816e11i 1.50176i
\(754\) −1.05542e11 3.43943e11i −0.326544 1.06415i
\(755\) 2.77773e11 0.854874
\(756\) 1.54133e11 + 1.73666e10i 0.471854 + 0.0531652i
\(757\) 2.14878e11 + 1.35017e11i 0.654347 + 0.411153i 0.817883 0.575384i \(-0.195147\pi\)
−0.163537 + 0.986537i \(0.552290\pi\)
\(758\) −2.29759e11 5.24410e10i −0.695978 0.158852i
\(759\) 6.94237e10 5.53635e10i 0.209190 0.166823i
\(760\) 4.04029e11 + 3.22203e11i 1.21104 + 0.965773i
\(761\) −1.04971e11 4.59909e11i −0.312991 1.37130i −0.849580 0.527459i \(-0.823145\pi\)
0.536589 0.843843i \(-0.319712\pi\)
\(762\) −4.56377e11 1.59693e11i −1.35364 0.473660i