Properties

Label 29.9.f.a.2.17
Level $29$
Weight $9$
Character 29.2
Analytic conductor $11.814$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 2.17
Character \(\chi\) \(=\) 29.2
Dual form 29.9.f.a.15.17

$q$-expansion

\(f(q)\) \(=\) \(q+(25.7386 + 2.90004i) q^{2} +(82.6049 + 51.9041i) q^{3} +(404.482 + 92.3203i) q^{4} +(418.219 - 333.519i) q^{5} +(1975.61 + 1575.49i) q^{6} +(-324.689 - 1422.56i) q^{7} +(3884.38 + 1359.20i) q^{8} +(1282.82 + 2663.80i) q^{9} +O(q^{10})\) \(q+(25.7386 + 2.90004i) q^{2} +(82.6049 + 51.9041i) q^{3} +(404.482 + 92.3203i) q^{4} +(418.219 - 333.519i) q^{5} +(1975.61 + 1575.49i) q^{6} +(-324.689 - 1422.56i) q^{7} +(3884.38 + 1359.20i) q^{8} +(1282.82 + 2663.80i) q^{9} +(11731.6 - 7371.44i) q^{10} +(-9553.32 + 3342.85i) q^{11} +(28620.4 + 28620.4i) q^{12} +(-14292.7 + 29679.2i) q^{13} +(-4231.56 - 37556.1i) q^{14} +(51857.9 - 5842.99i) q^{15} +(344.422 + 165.865i) q^{16} +(-29451.1 + 29451.1i) q^{17} +(25292.8 + 72282.7i) q^{18} +(-21585.7 - 34353.5i) q^{19} +(199953. - 96292.1i) q^{20} +(47015.5 - 134363. i) q^{21} +(-255583. + 58335.2i) q^{22} +(29611.6 - 37131.8i) q^{23} +(250320. + 313892. i) q^{24} +(-23249.6 + 101863. i) q^{25} +(-453945. + 722450. i) q^{26} +(39371.1 - 349428. i) q^{27} -605373. i q^{28} +(666386. + 237015. i) q^{29} +1.35169e6 q^{30} +(1.34647e6 + 151711. i) q^{31} +(-883658. - 555239. i) q^{32} +(-962658. - 219720. i) q^{33} +(-843438. + 672620. i) q^{34} +(-610240. - 486650. i) q^{35} +(272954. + 1.19589e6i) q^{36} +(-2.21954e6 - 776649. i) q^{37} +(-455959. - 946810. i) q^{38} +(-2.72112e6 + 1.70979e6i) q^{39} +(2.07784e6 - 727068. i) q^{40} +(-3.59064e6 - 3.59064e6i) q^{41} +(1.59977e6 - 3.32195e6i) q^{42} +(80312.5 + 712793. i) q^{43} +(-4.17276e6 + 470157. i) q^{44} +(1.42493e6 + 686209. i) q^{45} +(869844. - 869844. i) q^{46} +(-92849.2 - 265348. i) q^{47} +(19841.9 + 31578.2i) q^{48} +(3.27567e6 - 1.57748e6i) q^{49} +(-893819. + 2.55439e6i) q^{50} +(-3.96144e6 + 904172. i) q^{51} +(-8.52114e6 + 1.06852e7i) q^{52} +(3.96177e6 + 4.96790e6i) q^{53} +(2.02671e6 - 8.87959e6i) q^{54} +(-2.88048e6 + 4.58426e6i) q^{55} +(672326. - 5.96706e6i) q^{56} -3.95816e6i q^{57} +(1.64645e7 + 8.03297e6i) q^{58} +1.68598e7 q^{59} +(2.15150e7 + 2.42416e6i) q^{60} +(1.23575e7 + 7.76471e6i) q^{61} +(3.42163e7 + 7.80964e6i) q^{62} +(3.37289e6 - 2.68979e6i) q^{63} +(-2.12104e7 - 1.69147e7i) q^{64} +(3.92106e6 + 1.71793e7i) q^{65} +(-2.41402e7 - 8.44704e6i) q^{66} +(-5.34425e6 - 1.10974e7i) q^{67} +(-1.46314e7 + 9.19350e6i) q^{68} +(4.37335e6 - 1.53030e6i) q^{69} +(-1.42954e7 - 1.42954e7i) q^{70} +(-1.53098e7 + 3.17911e7i) q^{71} +(1.36231e6 + 1.20908e7i) q^{72} +(2.20083e7 - 2.47974e6i) q^{73} +(-5.48753e7 - 2.64266e7i) q^{74} +(-7.20765e6 + 7.20765e6i) q^{75} +(-5.55951e6 - 1.58882e7i) q^{76} +(7.85725e6 + 1.25047e7i) q^{77} +(-7.49962e7 + 3.61162e7i) q^{78} +(2.06676e7 - 5.90645e7i) q^{79} +(199363. - 45503.3i) q^{80} +(3.34836e7 - 4.19871e7i) q^{81} +(-8.20049e7 - 1.02831e8i) q^{82} +(-1.89202e7 + 8.28947e7i) q^{83} +(3.14213e7 - 5.00068e7i) q^{84} +(-2.49452e6 + 2.21395e7i) q^{85} +1.85792e7i q^{86} +(4.27447e7 + 5.41667e7i) q^{87} -4.16523e7 q^{88} +(8.03365e7 + 9.05175e6i) q^{89} +(3.46856e7 + 2.17944e7i) q^{90} +(4.68609e7 + 1.06957e7i) q^{91} +(1.54054e7 - 1.22854e7i) q^{92} +(1.03351e8 + 8.24195e7i) q^{93} +(-1.62029e6 - 7.09893e6i) q^{94} +(-2.04851e7 - 7.16805e6i) q^{95} +(-4.41753e7 - 9.17309e7i) q^{96} +(-2.18103e7 + 1.37043e7i) q^{97} +(8.88857e7 - 3.11024e7i) q^{98} +(-2.11599e7 - 2.11599e7i) 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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 25.7386 + 2.90004i 1.60866 + 0.181252i 0.870079 0.492912i \(-0.164068\pi\)
0.738581 + 0.674165i \(0.235496\pi\)
\(3\) 82.6049 + 51.9041i 1.01981 + 0.640791i 0.934647 0.355576i \(-0.115715\pi\)
0.0851657 + 0.996367i \(0.472858\pi\)
\(4\) 404.482 + 92.3203i 1.58001 + 0.360626i
\(5\) 418.219 333.519i 0.669151 0.533630i −0.228940 0.973441i \(-0.573526\pi\)
0.898091 + 0.439811i \(0.144954\pi\)
\(6\) 1975.61 + 1575.49i 1.52439 + 1.21566i
\(7\) −324.689 1422.56i −0.135231 0.592484i −0.996445 0.0842429i \(-0.973153\pi\)
0.861215 0.508242i \(-0.169704\pi\)
\(8\) 3884.38 + 1359.20i 0.948334 + 0.331837i
\(9\) 1282.82 + 2663.80i 0.195522 + 0.406006i
\(10\) 11731.6 7371.44i 1.17316 0.737144i
\(11\) −9553.32 + 3342.85i −0.652505 + 0.228321i −0.636174 0.771545i \(-0.719484\pi\)
−0.0163303 + 0.999867i \(0.505198\pi\)
\(12\) 28620.4 + 28620.4i 1.38023 + 1.38023i
\(13\) −14292.7 + 29679.2i −0.500428 + 1.03915i 0.485847 + 0.874044i \(0.338511\pi\)
−0.986276 + 0.165106i \(0.947203\pi\)
\(14\) −4231.56 37556.1i −0.110151 0.977617i
\(15\) 51857.9 5842.99i 1.02435 0.115417i
\(16\) 344.422 + 165.865i 0.00525546 + 0.00253090i
\(17\) −29451.1 + 29451.1i −0.352619 + 0.352619i −0.861083 0.508464i \(-0.830213\pi\)
0.508464 + 0.861083i \(0.330213\pi\)
\(18\) 25292.8 + 72282.7i 0.240939 + 0.688564i
\(19\) −21585.7 34353.5i −0.165635 0.263607i 0.753585 0.657350i \(-0.228323\pi\)
−0.919220 + 0.393743i \(0.871180\pi\)
\(20\) 199953. 96292.1i 1.24970 0.601826i
\(21\) 47015.5 134363.i 0.241749 0.690878i
\(22\) −255583. + 58335.2i −1.09104 + 0.249023i
\(23\) 29611.6 37131.8i 0.105816 0.132689i −0.726104 0.687585i \(-0.758671\pi\)
0.831919 + 0.554896i \(0.187242\pi\)
\(24\) 250320. + 313892.i 0.754486 + 0.946095i
\(25\) −23249.6 + 101863.i −0.0595190 + 0.260770i
\(26\) −453945. + 722450.i −0.993368 + 1.58094i
\(27\) 39371.1 349428.i 0.0740836 0.657510i
\(28\) 605373.i 0.984897i
\(29\) 666386. + 237015.i 0.942180 + 0.335107i
\(30\) 1.35169e6 1.66876
\(31\) 1.34647e6 + 151711.i 1.45798 + 0.164275i 0.805077 0.593170i \(-0.202124\pi\)
0.652899 + 0.757445i \(0.273552\pi\)
\(32\) −883658. 555239.i −0.842721 0.529517i
\(33\) −962658. 219720.i −0.811739 0.185274i
\(34\) −843438. + 672620.i −0.631157 + 0.503331i
\(35\) −610240. 486650.i −0.406657 0.324298i
\(36\) 272954. + 1.19589e6i 0.162510 + 0.712002i
\(37\) −2.21954e6 776649.i −1.18428 0.414398i −0.334939 0.942240i \(-0.608716\pi\)
−0.849343 + 0.527841i \(0.823002\pi\)
\(38\) −455959. 946810.i −0.218671 0.454076i
\(39\) −2.72112e6 + 1.70979e6i −1.17622 + 0.739069i
\(40\) 2.07784e6 727068.i 0.811657 0.284011i
\(41\) −3.59064e6 3.59064e6i −1.27068 1.27068i −0.945731 0.324949i \(-0.894653\pi\)
−0.324949 0.945731i \(-0.605347\pi\)
\(42\) 1.59977e6 3.32195e6i 0.514115 1.06757i
\(43\) 80312.5 + 712793.i 0.0234914 + 0.208492i 0.999975 0.00710065i \(-0.00226023\pi\)
−0.976483 + 0.215593i \(0.930832\pi\)
\(44\) −4.17276e6 + 470157.i −1.11330 + 0.125439i
\(45\) 1.42493e6 + 686209.i 0.347490 + 0.167343i
\(46\) 869844. 869844.i 0.194272 0.194272i
\(47\) −92849.2 265348.i −0.0190277 0.0543781i 0.933978 0.357331i \(-0.116313\pi\)
−0.953006 + 0.302953i \(0.902027\pi\)
\(48\) 19841.9 + 31578.2i 0.00373781 + 0.00594870i
\(49\) 3.27567e6 1.57748e6i 0.568218 0.273640i
\(50\) −893819. + 2.55439e6i −0.143011 + 0.408702i
\(51\) −3.96144e6 + 904172.i −0.585561 + 0.133650i
\(52\) −8.52114e6 + 1.06852e7i −1.16542 + 1.46140i
\(53\) 3.96177e6 + 4.96790e6i 0.502095 + 0.629607i 0.966700 0.255911i \(-0.0823753\pi\)
−0.464606 + 0.885518i \(0.653804\pi\)
\(54\) 2.02671e6 8.87959e6i 0.238351 1.04428i
\(55\) −2.88048e6 + 4.58426e6i −0.314785 + 0.500977i
\(56\) 672326. 5.96706e6i 0.0683641 0.606748i
\(57\) 3.95816e6i 0.374967i
\(58\) 1.64645e7 + 8.03297e6i 1.45491 + 0.709846i
\(59\) 1.68598e7 1.39137 0.695687 0.718345i \(-0.255100\pi\)
0.695687 + 0.718345i \(0.255100\pi\)
\(60\) 2.15150e7 + 2.42416e6i 1.66011 + 0.187049i
\(61\) 1.23575e7 + 7.76471e6i 0.892504 + 0.560797i 0.898396 0.439185i \(-0.144733\pi\)
−0.00589281 + 0.999983i \(0.501876\pi\)
\(62\) 3.42163e7 + 7.80964e6i 2.31561 + 0.528524i
\(63\) 3.37289e6 2.68979e6i 0.214111 0.170748i
\(64\) −2.12104e7 1.69147e7i −1.26424 1.00820i
\(65\) 3.92106e6 + 1.71793e7i 0.219660 + 0.962392i
\(66\) −2.41402e7 8.44704e6i −1.27223 0.445173i
\(67\) −5.34425e6 1.10974e7i −0.265209 0.550711i 0.725256 0.688479i \(-0.241721\pi\)
−0.990465 + 0.137768i \(0.956007\pi\)
\(68\) −1.46314e7 + 9.19350e6i −0.684304 + 0.429977i
\(69\) 4.37335e6 1.53030e6i 0.192938 0.0675120i
\(70\) −1.42954e7 1.42954e7i −0.595393 0.595393i
\(71\) −1.53098e7 + 3.17911e7i −0.602471 + 1.25104i 0.347200 + 0.937791i \(0.387133\pi\)
−0.949670 + 0.313252i \(0.898582\pi\)
\(72\) 1.36231e6 + 1.20908e7i 0.0506927 + 0.449910i
\(73\) 2.20083e7 2.47974e6i 0.774988 0.0873201i 0.284393 0.958708i \(-0.408208\pi\)
0.490595 + 0.871388i \(0.336779\pi\)
\(74\) −5.48753e7 2.64266e7i −1.83000 0.881280i
\(75\) −7.20765e6 + 7.20765e6i −0.227797 + 0.227797i
\(76\) −5.55951e6 1.58882e7i −0.166641 0.476233i
\(77\) 7.85725e6 + 1.25047e7i 0.223515 + 0.355723i
\(78\) −7.49962e7 + 3.61162e7i −2.02610 + 0.975718i
\(79\) 2.06676e7 5.90645e7i 0.530617 1.51642i −0.296863 0.954920i \(-0.595941\pi\)
0.827480 0.561495i \(-0.189774\pi\)
\(80\) 199363. 45503.3i 0.00486726 0.00111092i
\(81\) 3.34836e7 4.19871e7i 0.777843 0.975384i
\(82\) −8.20049e7 1.02831e8i −1.81378 2.27441i
\(83\) −1.89202e7 + 8.28947e7i −0.398669 + 1.74668i 0.233976 + 0.972242i \(0.424826\pi\)
−0.632645 + 0.774442i \(0.718031\pi\)
\(84\) 3.14213e7 5.00068e7i 0.631113 1.00441i
\(85\) −2.49452e6 + 2.21395e7i −0.0477873 + 0.424124i
\(86\) 1.85792e7i 0.339651i
\(87\) 4.27447e7 + 5.41667e7i 0.746114 + 0.945487i
\(88\) −4.16523e7 −0.694558
\(89\) 8.03365e7 + 9.05175e6i 1.28042 + 0.144269i 0.725842 0.687862i \(-0.241451\pi\)
0.554579 + 0.832131i \(0.312879\pi\)
\(90\) 3.46856e7 + 2.17944e7i 0.528663 + 0.332181i
\(91\) 4.68609e7 + 1.06957e7i 0.683354 + 0.155971i
\(92\) 1.54054e7 1.22854e7i 0.215041 0.171489i
\(93\) 1.03351e8 + 8.24195e7i 1.38160 + 1.10179i
\(94\) −1.62029e6 7.09893e6i −0.0207530 0.0909247i
\(95\) −2.04851e7 7.16805e6i −0.251504 0.0880049i
\(96\) −4.41753e7 9.17309e7i −0.520109 1.08002i
\(97\) −2.18103e7 + 1.37043e7i −0.246362 + 0.154800i −0.649553 0.760316i \(-0.725044\pi\)
0.403191 + 0.915116i \(0.367901\pi\)
\(98\) 8.88857e7 3.11024e7i 0.963668 0.337202i
\(99\) −2.11599e7 2.11599e7i −0.220279 0.220279i
\(100\) −1.88081e7 + 3.90554e7i −0.188081 + 0.390554i
\(101\) −7.40600e6 6.57300e7i −0.0711702 0.631653i −0.977773 0.209667i \(-0.932762\pi\)
0.906603 0.421985i \(-0.138667\pi\)
\(102\) −1.04584e8 + 1.17838e7i −0.966193 + 0.108864i
\(103\) −4.39719e7 2.11757e7i −0.390684 0.188144i 0.228221 0.973609i \(-0.426709\pi\)
−0.618905 + 0.785466i \(0.712423\pi\)
\(104\) −9.58584e7 + 9.58584e7i −0.819401 + 0.819401i
\(105\) −2.51497e7 7.18736e7i −0.206907 0.591306i
\(106\) 8.75631e7 + 1.39356e8i 0.693582 + 1.10383i
\(107\) −1.19206e8 + 5.74066e7i −0.909418 + 0.437953i −0.829281 0.558831i \(-0.811250\pi\)
−0.0801365 + 0.996784i \(0.525536\pi\)
\(108\) 4.81842e7 1.37702e8i 0.354168 1.01215i
\(109\) −7.51693e7 + 1.71569e7i −0.532518 + 0.121544i −0.480321 0.877093i \(-0.659480\pi\)
−0.0521976 + 0.998637i \(0.516623\pi\)
\(110\) −8.74339e7 + 1.09639e8i −0.597185 + 0.748847i
\(111\) −1.43033e8 1.79358e8i −0.942204 1.18149i
\(112\) 124122. 543814.i 0.000788818 0.00345604i
\(113\) −9.48013e6 + 1.50875e7i −0.0581434 + 0.0925347i −0.874531 0.484970i \(-0.838831\pi\)
0.816387 + 0.577505i \(0.195973\pi\)
\(114\) 1.14788e7 1.01877e8i 0.0679638 0.603195i
\(115\) 2.54053e7i 0.145255i
\(116\) 2.47660e8 + 1.57389e8i 1.36780 + 0.869246i
\(117\) −9.73944e7 −0.519745
\(118\) 4.33947e8 + 4.88940e7i 2.23825 + 0.252190i
\(119\) 5.14583e7 + 3.23334e7i 0.256606 + 0.161236i
\(120\) 2.09378e8 + 4.77891e7i 1.00973 + 0.230464i
\(121\) −8.75013e7 + 6.97799e7i −0.408200 + 0.325529i
\(122\) 2.95545e8 + 2.35690e8i 1.33409 + 1.06390i
\(123\) −1.10235e8 4.82973e8i −0.481616 2.11010i
\(124\) 5.30617e8 + 1.85671e8i 2.24437 + 0.785339i
\(125\) 1.14912e8 + 2.38617e8i 0.470678 + 0.977373i
\(126\) 9.46138e7 5.94498e7i 0.375381 0.235867i
\(127\) −8.66727e7 + 3.03281e7i −0.333171 + 0.116582i −0.491680 0.870776i \(-0.663617\pi\)
0.158509 + 0.987358i \(0.449331\pi\)
\(128\) −3.07956e8 3.07956e8i −1.14723 1.14723i
\(129\) −3.03627e7 + 6.30487e7i −0.109643 + 0.227676i
\(130\) 5.11019e7 + 4.53542e8i 0.178922 + 1.58798i
\(131\) −1.28122e8 + 1.44359e7i −0.435051 + 0.0490184i −0.326774 0.945102i \(-0.605962\pi\)
−0.108276 + 0.994121i \(0.534533\pi\)
\(132\) −3.69093e8 1.77746e8i −1.21574 0.585469i
\(133\) −4.18611e7 + 4.18611e7i −0.133784 + 0.133784i
\(134\) −1.05370e8 3.01131e8i −0.326813 0.933977i
\(135\) −1.00075e8 1.59269e8i −0.301294 0.479507i
\(136\) −1.54429e8 + 7.43692e7i −0.451413 + 0.217389i
\(137\) 8.61778e7 2.46282e8i 0.244632 0.699117i −0.754453 0.656354i \(-0.772098\pi\)
0.999085 0.0427639i \(-0.0136163\pi\)
\(138\) 1.17002e8 2.67049e7i 0.322609 0.0736333i
\(139\) −2.31635e8 + 2.90461e8i −0.620504 + 0.778088i −0.988415 0.151773i \(-0.951502\pi\)
0.367911 + 0.929861i \(0.380073\pi\)
\(140\) −2.01903e8 2.53179e8i −0.525571 0.659045i
\(141\) 6.10283e6 2.67383e7i 0.0154403 0.0676483i
\(142\) −4.86247e8 + 7.73858e8i −1.19592 + 1.90330i
\(143\) 3.73300e7 3.31313e8i 0.0892717 0.792309i
\(144\) 1.13025e6i 0.00262859i
\(145\) 3.57744e8 1.23128e8i 0.809284 0.278538i
\(146\) 5.73653e8 1.26252
\(147\) 3.52463e8 + 3.97131e7i 0.754822 + 0.0850481i
\(148\) −8.26061e8 5.19049e8i −1.72173 1.08184i
\(149\) −5.57395e8 1.27222e8i −1.13088 0.258117i −0.384170 0.923262i \(-0.625512\pi\)
−0.746714 + 0.665146i \(0.768369\pi\)
\(150\) −2.06417e8 + 1.64612e8i −0.407737 + 0.325159i
\(151\) 4.78648e8 + 3.81709e8i 0.920680 + 0.734218i 0.964295 0.264830i \(-0.0853160\pi\)
−0.0436147 + 0.999048i \(0.513887\pi\)
\(152\) −3.71538e7 1.62781e8i −0.0696031 0.304951i
\(153\) −1.16232e8 4.06715e7i −0.212110 0.0742205i
\(154\) 1.65970e8 + 3.44640e8i 0.295085 + 0.612750i
\(155\) 6.13719e8 3.85625e8i 1.06327 0.668096i
\(156\) −1.25849e9 + 4.40365e8i −2.12497 + 0.743558i
\(157\) −8.77339e7 8.77339e7i −0.144401 0.144401i 0.631211 0.775611i \(-0.282558\pi\)
−0.775611 + 0.631211i \(0.782558\pi\)
\(158\) 7.03243e8 1.46030e9i 1.12844 2.34322i
\(159\) 6.94071e7 + 6.16005e8i 0.108596 + 0.963819i
\(160\) −5.54745e8 + 6.25048e7i −0.846474 + 0.0953747i
\(161\) −6.24366e7 3.00679e7i −0.0929256 0.0447506i
\(162\) 9.83583e8 9.83583e8i 1.42808 1.42808i
\(163\) 1.72496e8 + 4.92965e8i 0.244359 + 0.698339i 0.999104 + 0.0423202i \(0.0134750\pi\)
−0.754745 + 0.656018i \(0.772239\pi\)
\(164\) −1.12086e9 1.78384e9i −1.54944 2.46592i
\(165\) −4.75883e8 + 2.29173e8i −0.642044 + 0.309192i
\(166\) −7.27376e8 + 2.07872e9i −0.957914 + 2.73756i
\(167\) −1.06607e9 + 2.43324e8i −1.37063 + 0.312838i −0.843584 0.536997i \(-0.819559\pi\)
−0.527049 + 0.849835i \(0.676702\pi\)
\(168\) 3.65252e8 4.58012e8i 0.458517 0.574962i
\(169\) −1.67971e8 2.10629e8i −0.205915 0.258209i
\(170\) −1.28411e8 + 5.62605e8i −0.153747 + 0.673609i
\(171\) 6.38204e7 1.01570e8i 0.0746405 0.118790i
\(172\) −3.33203e7 + 2.95726e8i −0.0380711 + 0.337890i
\(173\) 1.33755e9i 1.49322i −0.665259 0.746612i \(-0.731679\pi\)
0.665259 0.746612i \(-0.268321\pi\)
\(174\) 9.43101e8 + 1.51814e9i 1.02887 + 1.65620i
\(175\) 1.52455e8 0.162551
\(176\) −3.84484e6 433209.i −0.00400707 0.000451489i
\(177\) 1.39270e9 + 8.75092e8i 1.41894 + 0.891580i
\(178\) 2.04149e9 + 4.65958e8i 2.03361 + 0.464159i
\(179\) 9.82730e8 7.83701e8i 0.957243 0.763376i −0.0143834 0.999897i \(-0.504579\pi\)
0.971626 + 0.236521i \(0.0760071\pi\)
\(180\) 5.13006e8 + 4.09109e8i 0.488689 + 0.389717i
\(181\) −3.21726e8 1.40958e9i −0.299759 1.31333i −0.870487 0.492191i \(-0.836196\pi\)
0.570728 0.821139i \(-0.306661\pi\)
\(182\) 1.17512e9 + 4.11191e8i 1.07101 + 0.374764i
\(183\) 6.17767e8 + 1.28281e9i 0.550833 + 1.14382i
\(184\) 1.65492e8 1.03986e8i 0.144380 0.0907198i
\(185\) −1.18728e9 + 4.15447e8i −1.01360 + 0.354674i
\(186\) 2.42108e9 + 2.42108e9i 2.02282 + 2.02282i
\(187\) 1.82905e8 3.79806e8i 0.149575 0.310596i
\(188\) −1.30588e7 1.15900e8i −0.0104538 0.0927796i
\(189\) −5.09864e8 + 5.74479e7i −0.399583 + 0.0450222i
\(190\) −5.06470e8 2.43903e8i −0.388633 0.187156i
\(191\) −7.75549e8 + 7.75549e8i −0.582741 + 0.582741i −0.935656 0.352914i \(-0.885191\pi\)
0.352914 + 0.935656i \(0.385191\pi\)
\(192\) −8.74138e8 2.49814e9i −0.643243 1.83828i
\(193\) 5.46742e7 + 8.70135e7i 0.0394052 + 0.0627130i 0.865846 0.500311i \(-0.166781\pi\)
−0.826441 + 0.563024i \(0.809638\pi\)
\(194\) −6.01108e8 + 2.89478e8i −0.424371 + 0.204366i
\(195\) −5.67777e8 + 1.62261e9i −0.392680 + 1.12222i
\(196\) 1.47058e9 3.35650e8i 0.996470 0.227438i
\(197\) 1.26745e9 1.58933e9i 0.841524 1.05524i −0.156195 0.987726i \(-0.549923\pi\)
0.997719 0.0675112i \(-0.0215058\pi\)
\(198\) −4.83260e8 6.05989e8i −0.314427 0.394279i
\(199\) −3.01998e8 + 1.32314e9i −0.192571 + 0.843709i 0.782647 + 0.622465i \(0.213869\pi\)
−0.975218 + 0.221244i \(0.928988\pi\)
\(200\) −2.28763e8 + 3.64074e8i −0.142977 + 0.227546i
\(201\) 1.34542e8 1.19409e9i 0.0824277 0.731566i
\(202\) 1.71327e9i 1.02901i
\(203\) 1.20799e8 1.02493e9i 0.0711341 0.603544i
\(204\) −1.68580e9 −0.973388
\(205\) −2.69922e9 3.04129e8i −1.52835 0.172204i
\(206\) −1.07036e9 6.72553e8i −0.594377 0.373472i
\(207\) 1.36898e8 + 3.12461e7i 0.0745617 + 0.0170182i
\(208\) −9.84547e6 + 7.85150e6i −0.00525997 + 0.00419468i
\(209\) 3.21054e8 + 2.56032e8i 0.168265 + 0.134187i
\(210\) −4.38880e8 1.92286e9i −0.225667 0.988713i
\(211\) 2.67966e9 + 9.37653e8i 1.35192 + 0.473056i 0.906476 0.422257i \(-0.138762\pi\)
0.445439 + 0.895312i \(0.353048\pi\)
\(212\) 1.14383e9 + 2.37518e9i 0.566260 + 1.17585i
\(213\) −2.91475e9 + 1.83146e9i −1.41606 + 0.889772i
\(214\) −3.23468e9 + 1.13186e9i −1.54232 + 0.539683i
\(215\) 2.71318e8 + 2.71318e8i 0.126977 + 0.126977i
\(216\) 6.27875e8 1.30380e9i 0.288442 0.598956i
\(217\) −2.21367e8 1.96469e9i −0.0998331 0.886043i
\(218\) −1.98451e9 + 2.23600e8i −0.878671 + 0.0990024i
\(219\) 1.94670e9 + 9.37481e8i 0.846296 + 0.407555i
\(220\) −1.58832e9 + 1.58832e9i −0.678028 + 0.678028i
\(221\) −4.53147e8 1.29502e9i −0.189964 0.542885i
\(222\) −3.16132e9 5.03122e9i −1.30154 2.07139i
\(223\) 2.17410e9 1.04699e9i 0.879144 0.423374i 0.0608325 0.998148i \(-0.480624\pi\)
0.818312 + 0.574774i \(0.194910\pi\)
\(224\) −5.02944e8 + 1.43733e9i −0.199769 + 0.570906i
\(225\) −3.01168e8 + 6.87397e7i −0.117511 + 0.0268212i
\(226\) −2.87759e8 + 3.60839e8i −0.110305 + 0.138318i
\(227\) −1.75819e9 2.20470e9i −0.662159 0.830321i 0.331417 0.943484i \(-0.392473\pi\)
−0.993576 + 0.113163i \(0.963902\pi\)
\(228\) 3.65418e8 1.60100e9i 0.135223 0.592451i
\(229\) −2.47075e9 + 3.93217e9i −0.898434 + 1.42985i 0.00446219 + 0.999990i \(0.498580\pi\)
−0.902896 + 0.429859i \(0.858563\pi\)
\(230\) 7.36762e7 6.53895e8i 0.0263279 0.233667i
\(231\) 1.44078e9i 0.505997i
\(232\) 2.26634e9 + 1.82641e9i 0.782301 + 0.630443i
\(233\) −1.56028e8 −0.0529395 −0.0264697 0.999650i \(-0.508427\pi\)
−0.0264697 + 0.999650i \(0.508427\pi\)
\(234\) −2.50679e9 2.82448e8i −0.836094 0.0942051i
\(235\) −1.27330e8 8.00066e7i −0.0417502 0.0262334i
\(236\) 6.81948e9 + 1.55650e9i 2.19838 + 0.501766i
\(237\) 4.77293e9 3.80628e9i 1.51284 1.20645i
\(238\) 1.23069e9 + 9.81446e8i 0.383568 + 0.305885i
\(239\) 1.09899e9 + 4.81499e9i 0.336823 + 1.47572i 0.805630 + 0.592419i \(0.201827\pi\)
−0.468806 + 0.883301i \(0.655316\pi\)
\(240\) 1.88302e7 + 6.58896e6i 0.00567557 + 0.00198597i
\(241\) −1.26783e9 2.63267e9i −0.375831 0.780421i 0.624169 0.781289i \(-0.285438\pi\)
−1.00000 0.000868904i \(0.999723\pi\)
\(242\) −2.45452e9 + 1.54228e9i −0.715658 + 0.449678i
\(243\) 2.76757e9 9.68415e8i 0.793732 0.277739i
\(244\) 4.28153e9 + 4.28153e9i 1.20792 + 1.20792i
\(245\) 8.43828e8 1.75223e9i 0.234202 0.486325i
\(246\) −1.43666e9 1.27507e10i −0.392296 3.48172i
\(247\) 1.32810e9 1.49641e8i 0.356816 0.0402035i
\(248\) 5.02400e9 + 2.41943e9i 1.32814 + 0.639597i
\(249\) −5.86547e9 + 5.86547e9i −1.52583 + 1.52583i
\(250\) 2.26566e9 + 6.47489e9i 0.580010 + 1.65757i
\(251\) −2.51972e9 4.01010e9i −0.634829 1.01032i −0.996939 0.0781887i \(-0.975086\pi\)
0.362110 0.932135i \(-0.382057\pi\)
\(252\) 1.61259e9 7.76584e8i 0.399874 0.192569i
\(253\) −1.58763e8 + 4.53719e8i −0.0387496 + 0.110740i
\(254\) −2.31878e9 + 5.29247e8i −0.557090 + 0.127152i
\(255\) −1.35519e9 + 1.69936e9i −0.320509 + 0.401905i
\(256\) −2.70309e9 3.38957e9i −0.629363 0.789196i
\(257\) 1.50657e9 6.60070e9i 0.345347 1.51306i −0.442261 0.896887i \(-0.645823\pi\)
0.787608 0.616177i \(-0.211319\pi\)
\(258\) −9.64335e8 + 1.53473e9i −0.217645 + 0.346380i
\(259\) −3.84168e8 + 3.40958e9i −0.0853732 + 0.757708i
\(260\) 7.31070e9i 1.59980i
\(261\) 2.23492e8 + 2.07917e9i 0.0481616 + 0.448051i
\(262\) −3.33955e9 −0.708733
\(263\) 5.37445e9 + 6.05555e8i 1.12334 + 0.126570i 0.654033 0.756466i \(-0.273076\pi\)
0.469306 + 0.883036i \(0.344504\pi\)
\(264\) −3.44068e9 2.16192e9i −0.708319 0.445066i
\(265\) 3.31378e9 + 7.56348e8i 0.671954 + 0.153369i
\(266\) −1.19884e9 + 9.56046e8i −0.239462 + 0.190964i
\(267\) 6.16636e9 + 4.91751e9i 1.21334 + 0.967610i
\(268\) −1.13713e9 4.98210e9i −0.220430 0.965769i
\(269\) −4.64531e9 1.62546e9i −0.887167 0.310433i −0.152050 0.988373i \(-0.548587\pi\)
−0.735118 + 0.677940i \(0.762873\pi\)
\(270\) −2.11390e9 4.38956e9i −0.397768 0.825974i
\(271\) 2.99745e9 1.88342e9i 0.555743 0.349197i −0.224695 0.974429i \(-0.572139\pi\)
0.780439 + 0.625232i \(0.214996\pi\)
\(272\) −1.50285e7 + 5.25871e6i −0.00274562 + 0.000960734i
\(273\) 3.31579e9 + 3.31579e9i 0.596948 + 0.596948i
\(274\) 2.93232e9 6.08902e9i 0.520246 1.08030i
\(275\) −1.18403e8 1.05085e9i −0.0207029 0.183743i
\(276\) 1.91022e9 2.15230e8i 0.329190 0.0370908i
\(277\) −5.02199e9 2.41846e9i −0.853016 0.410791i −0.0443197 0.999017i \(-0.514112\pi\)
−0.808696 + 0.588227i \(0.799826\pi\)
\(278\) −6.80430e9 + 6.80430e9i −1.13921 + 1.13921i
\(279\) 1.32315e9 + 3.78135e9i 0.218370 + 0.624066i
\(280\) −1.70895e9 2.71977e9i −0.278033 0.442487i
\(281\) 8.06127e9 3.88210e9i 1.29294 0.622646i 0.344256 0.938876i \(-0.388131\pi\)
0.948683 + 0.316229i \(0.102417\pi\)
\(282\) 2.34620e8 6.70506e8i 0.0370996 0.106024i
\(283\) −8.15939e9 + 1.86233e9i −1.27207 + 0.290342i −0.804681 0.593708i \(-0.797663\pi\)
−0.467392 + 0.884050i \(0.654806\pi\)
\(284\) −9.12750e9 + 1.14455e10i −1.40307 + 1.75939i
\(285\) −1.32012e9 1.65538e9i −0.200094 0.250910i
\(286\) 1.92164e9 8.41926e9i 0.287216 1.25837i
\(287\) −3.94204e9 + 6.27372e9i −0.581024 + 0.924694i
\(288\) 3.45473e8 3.06616e9i 0.0502163 0.445682i
\(289\) 5.24102e9i 0.751319i
\(290\) 9.56490e9 2.13167e9i 1.35235 0.301389i
\(291\) −2.51294e9 −0.350438
\(292\) 9.13088e9 + 1.02880e9i 1.25598 + 0.141514i
\(293\) 2.20297e9 + 1.38422e9i 0.298909 + 0.187817i 0.673133 0.739521i \(-0.264948\pi\)
−0.374224 + 0.927338i \(0.622091\pi\)
\(294\) 8.95673e9 + 2.04432e9i 1.19884 + 0.273627i
\(295\) 7.05109e9 5.62306e9i 0.931040 0.742479i
\(296\) −7.56589e9 6.03360e9i −0.985583 0.785976i
\(297\) 7.91961e8 + 3.46981e9i 0.101784 + 0.445943i
\(298\) −1.39776e10 4.89097e9i −1.77242 0.620198i
\(299\) 6.78810e8 + 1.40956e9i 0.0849304 + 0.176360i
\(300\) −3.58077e9 + 2.24995e9i −0.442071 + 0.277772i
\(301\) 9.87911e8 3.45685e8i 0.120352 0.0421128i
\(302\) 1.12128e10 + 1.12128e10i 1.34798 + 1.34798i
\(303\) 2.79989e9 5.81402e9i 0.332177 0.689773i
\(304\) −1.73656e6 1.54124e7i −0.000203328 0.00180458i
\(305\) 7.75781e9 8.74095e8i 0.896478 0.101009i
\(306\) −2.87371e9 1.38390e9i −0.327760 0.157841i
\(307\) −1.85027e9 + 1.85027e9i −0.208296 + 0.208296i −0.803543 0.595247i \(-0.797054\pi\)
0.595247 + 0.803543i \(0.297054\pi\)
\(308\) 2.02367e9 + 5.78332e9i 0.224873 + 0.642650i
\(309\) −2.53318e9 4.03154e9i −0.277864 0.442218i
\(310\) 1.69146e10 8.14563e9i 1.83153 0.882019i
\(311\) −1.02239e9 + 2.92182e9i −0.109288 + 0.312328i −0.985519 0.169563i \(-0.945764\pi\)
0.876231 + 0.481891i \(0.160050\pi\)
\(312\) −1.28938e10 + 2.94293e9i −1.36070 + 0.310571i
\(313\) −8.06994e9 + 1.01194e10i −0.840801 + 1.05433i 0.156971 + 0.987603i \(0.449827\pi\)
−0.997771 + 0.0667273i \(0.978744\pi\)
\(314\) −2.00371e9 2.51258e9i −0.206119 0.258464i
\(315\) 5.13512e8 2.24984e9i 0.0521565 0.228513i
\(316\) 1.38125e10 2.19825e10i 1.38524 2.20459i
\(317\) 1.34493e9 1.19366e10i 0.133187 1.18207i −0.732245 0.681041i \(-0.761527\pi\)
0.865432 0.501026i \(-0.167044\pi\)
\(318\) 1.60564e10i 1.57014i
\(319\) −7.15850e9 3.66494e7i −0.691289 0.00353919i
\(320\) −1.45120e10 −1.38397
\(321\) −1.28266e10 1.44522e9i −1.20807 0.136117i
\(322\) −1.51983e9 9.54972e8i −0.141375 0.0888316i
\(323\) 1.64747e9 + 3.76025e8i 0.151359 + 0.0345467i
\(324\) 1.74198e10 1.38918e10i 1.58075 1.26060i
\(325\) −2.69091e9 2.14593e9i −0.241194 0.192346i
\(326\) 3.01018e9 + 1.31885e10i 0.266515 + 1.16768i
\(327\) −7.09986e9 2.48435e9i −0.620953 0.217281i
\(328\) −9.06699e9 1.88278e10i −0.783372 1.62669i
\(329\) −3.47325e8 + 2.18239e8i −0.0296450 + 0.0186272i
\(330\) −1.29132e10 + 4.51851e9i −1.08887 + 0.381013i
\(331\) 8.89448e9 + 8.89448e9i 0.740983 + 0.740983i 0.972767 0.231784i \(-0.0744563\pi\)
−0.231784 + 0.972767i \(0.574456\pi\)
\(332\) −1.53057e10 + 3.17827e10i −1.25980 + 2.61600i
\(333\) −7.78424e8 6.90870e9i −0.0633052 0.561849i
\(334\) −2.81448e10 + 3.17116e9i −2.26159 + 0.254819i
\(335\) −5.93628e9 2.85876e9i −0.471341 0.226986i
\(336\) 3.84792e7 3.84792e7i 0.00301904 0.00301904i
\(337\) −2.46954e9 7.05754e9i −0.191468 0.547184i 0.807628 0.589692i \(-0.200751\pi\)
−0.999096 + 0.0425079i \(0.986465\pi\)
\(338\) −3.71250e9 5.90840e9i −0.284446 0.452693i
\(339\) −1.56621e9 + 7.54246e8i −0.118591 + 0.0571103i
\(340\) −3.05292e9 + 8.72474e9i −0.228454 + 0.652885i
\(341\) −1.33704e10 + 3.05171e9i −0.988844 + 0.225697i
\(342\) 1.93720e9 2.42917e9i 0.141602 0.177564i
\(343\) −8.55220e9 1.07241e10i −0.617876 0.774792i
\(344\) −6.56866e8 + 2.87792e9i −0.0469076 + 0.205515i
\(345\) 1.31864e9 2.09860e9i 0.0930784 0.148133i
\(346\) 3.87894e9 3.44266e10i 0.270651 2.40209i
\(347\) 1.11783e10i 0.771009i −0.922706 0.385504i \(-0.874027\pi\)
0.922706 0.385504i \(-0.125973\pi\)
\(348\) 1.22888e10 + 2.58557e10i 0.837898 + 1.76294i
\(349\) −4.84438e9 −0.326540 −0.163270 0.986581i \(-0.552204\pi\)
−0.163270 + 0.986581i \(0.552204\pi\)
\(350\) 3.92397e9 + 4.42125e8i 0.261489 + 0.0294627i
\(351\) 9.80801e9 + 6.16278e9i 0.646178 + 0.406021i
\(352\) 1.02979e10 + 2.35044e9i 0.670780 + 0.153101i
\(353\) 2.06122e10 1.64377e10i 1.32747 1.05862i 0.334240 0.942488i \(-0.391520\pi\)
0.993233 0.116137i \(-0.0370511\pi\)
\(354\) 3.33083e10 + 2.65625e10i 2.12099 + 1.69144i
\(355\) 4.20008e9 + 1.84018e10i 0.264450 + 1.15863i
\(356\) 3.16590e10 + 1.10780e10i 1.97105 + 0.689699i
\(357\) 2.57247e9 + 5.34179e9i 0.158372 + 0.328862i
\(358\) 2.75668e10 1.73214e10i 1.67824 1.05451i
\(359\) −5.54989e9 + 1.94199e9i −0.334123 + 0.116915i −0.492126 0.870524i \(-0.663780\pi\)
0.158003 + 0.987439i \(0.449494\pi\)
\(360\) 4.60226e9 + 4.60226e9i 0.274007 + 0.274007i
\(361\) 6.65467e9 1.38186e10i 0.391830 0.813644i
\(362\) −4.19295e9 3.72135e10i −0.244166 2.16703i
\(363\) −1.08499e10 + 1.22249e9i −0.624883 + 0.0704074i
\(364\) 1.79670e10 + 8.65243e9i 1.02346 + 0.492870i
\(365\) 8.37725e9 8.37725e9i 0.471987 0.471987i
\(366\) 1.21802e10 + 3.48091e10i 0.678784 + 1.93985i
\(367\) 9.60698e9 + 1.52894e10i 0.529569 + 0.842805i 0.999197 0.0400597i \(-0.0127548\pi\)
−0.469628 + 0.882864i \(0.655612\pi\)
\(368\) 1.63578e7 7.87748e6i 0.000891933 0.000429532i
\(369\) 4.95861e9 1.41709e10i 0.267457 0.764349i
\(370\) −3.17637e10 + 7.24985e9i −1.69482 + 0.386832i
\(371\) 5.78077e9 7.24886e9i 0.305134 0.382626i
\(372\) 3.41945e10 + 4.28785e10i 1.78560 + 2.23907i
\(373\) 1.92116e9 8.41715e9i 0.0992495 0.434840i −0.900750 0.434337i \(-0.856983\pi\)
1.00000 0.000503205i \(-0.000160175\pi\)
\(374\) 5.80917e9 9.24524e9i 0.296912 0.472533i
\(375\) −2.89291e9 + 2.56753e10i −0.146288 + 1.29834i
\(376\) 1.15691e9i 0.0578827i
\(377\) −1.65589e10 + 1.63902e10i −0.819720 + 0.811369i
\(378\) −1.32898e10 −0.650954
\(379\) 4.54616e9 + 5.12229e8i 0.220337 + 0.0248260i 0.221443 0.975173i \(-0.428923\pi\)
−0.00110573 + 0.999999i \(0.500352\pi\)
\(380\) −7.62410e9 4.79054e9i −0.365640 0.229747i
\(381\) −8.73374e9 1.99342e9i −0.414477 0.0946017i
\(382\) −2.22106e10 + 1.77124e10i −1.04306 + 0.831809i
\(383\) −1.26263e10 1.00691e10i −0.586787 0.467947i 0.284530 0.958667i \(-0.408162\pi\)
−0.871317 + 0.490720i \(0.836734\pi\)
\(384\) −9.45449e9 4.14228e10i −0.434824 1.90509i
\(385\) 7.45662e9 + 2.60918e9i 0.339390 + 0.118758i
\(386\) 1.15489e9 + 2.39816e9i 0.0520226 + 0.108026i
\(387\) −1.79571e9 + 1.12832e9i −0.0800558 + 0.0503024i
\(388\) −1.00870e10 + 3.52961e9i −0.445079 + 0.155740i
\(389\) −1.46035e10 1.46035e10i −0.637764 0.637764i 0.312240 0.950003i \(-0.398921\pi\)
−0.950003 + 0.312240i \(0.898921\pi\)
\(390\) −1.93194e10 + 4.01171e10i −0.835093 + 1.73409i
\(391\) 2.21477e8 + 1.96567e9i 0.00947594 + 0.0841013i
\(392\) 1.48680e10 1.67522e9i 0.629665 0.0709462i
\(393\) −1.13328e10 5.45760e9i −0.475081 0.228787i
\(394\) 3.72315e10 3.72315e10i 1.54499 1.54499i
\(395\) −1.10555e10 3.15949e10i −0.454142 1.29786i
\(396\) −6.60530e9 1.05123e10i −0.268603 0.427480i
\(397\) −2.39195e10 + 1.15190e10i −0.962919 + 0.463717i −0.848197 0.529681i \(-0.822312\pi\)
−0.114721 + 0.993398i \(0.536598\pi\)
\(398\) −1.16101e10 + 3.31799e10i −0.462706 + 1.32234i
\(399\) −5.63070e9 + 1.28517e9i −0.222162 + 0.0507071i
\(400\) −2.49032e7 + 3.12276e7i −0.000972782 + 0.00121983i
\(401\) 8.47430e8 + 1.06264e9i 0.0327738 + 0.0410970i 0.797948 0.602726i \(-0.205919\pi\)
−0.765175 + 0.643823i \(0.777347\pi\)
\(402\) 6.92583e9 3.03440e10i 0.265196 1.16190i
\(403\) −2.37474e10 + 3.77938e10i −0.900319 + 1.43285i
\(404\) 3.07263e9 2.72703e10i 0.115341 1.02368i
\(405\) 2.87272e10i 1.06776i
\(406\) 6.08151e9 2.60298e10i 0.223824 0.958004i
\(407\) 2.38002e10 0.867366
\(408\) −1.66167e10 1.87225e9i −0.599658 0.0675652i
\(409\) 2.98474e10 + 1.87543e10i 1.06663 + 0.670206i 0.946550 0.322558i \(-0.104543\pi\)
0.120077 + 0.992765i \(0.461686\pi\)
\(410\) −6.85921e10 1.56557e10i −2.42738 0.554035i
\(411\) 1.99017e10 1.58711e10i 0.697467 0.556211i
\(412\) −1.58309e10 1.26247e10i −0.549434 0.438159i
\(413\) −5.47419e9 2.39840e10i −0.188157 0.824368i
\(414\) 3.43294e9 + 1.20124e9i 0.116860 + 0.0408910i
\(415\) 1.97342e10 + 4.09784e10i 0.665313 + 1.38154i
\(416\) 2.91089e10 1.82903e10i 0.971969 0.610729i
\(417\) −3.42103e10 + 1.19707e10i −1.13139 + 0.395890i
\(418\) 7.52097e9 + 7.52097e9i 0.246359 + 0.246359i
\(419\) −1.01267e10 + 2.10282e10i −0.328557 + 0.682255i −0.998171 0.0604538i \(-0.980745\pi\)
0.669614 + 0.742709i \(0.266460\pi\)
\(420\) −3.53719e9 3.13934e10i −0.113674 1.00888i
\(421\) −4.89644e10 + 5.51696e9i −1.55866 + 0.175619i −0.848797 0.528719i \(-0.822672\pi\)
−0.709864 + 0.704338i \(0.751244\pi\)
\(422\) 6.62513e10 + 3.19049e10i 2.08903 + 1.00602i
\(423\) 5.87725e8 5.87725e8i 0.0183575 0.0183575i
\(424\) 8.63662e9 + 2.46821e10i 0.267227 + 0.763691i
\(425\) −2.31526e9 3.68471e9i −0.0709649 0.112940i
\(426\) −8.03328e10 + 3.86862e10i −2.43924 + 1.17468i
\(427\) 7.03340e9 2.01003e10i 0.211570 0.604632i
\(428\) −5.35165e10 + 1.22148e10i −1.59482 + 0.364008i
\(429\) 2.02801e10 2.54305e10i 0.598745 0.750802i
\(430\) 6.19650e9 + 7.77017e9i 0.181248 + 0.227278i
\(431\) 8.29461e9 3.63411e10i 0.240374 1.05315i −0.700304 0.713845i \(-0.746952\pi\)
0.940678 0.339301i \(-0.110191\pi\)
\(432\) 7.15181e7 1.13820e8i 0.00205344 0.00326802i
\(433\) −5.08919e9 + 4.51678e10i −0.144776 + 1.28492i 0.685706 + 0.727878i \(0.259493\pi\)
−0.830482 + 0.557045i \(0.811935\pi\)
\(434\) 5.12103e10i 1.44344i
\(435\) 3.59423e10 + 8.39742e9i 1.00380 + 0.234525i
\(436\) −3.19885e10 −0.885214
\(437\) −1.91480e9 2.15746e8i −0.0525045 0.00591584i
\(438\) 4.73865e10 + 2.97749e10i 1.28753 + 0.809011i
\(439\) 2.33944e10 + 5.33961e9i 0.629873 + 0.143765i 0.525528 0.850777i \(-0.323868\pi\)
0.104346 + 0.994541i \(0.466725\pi\)
\(440\) −1.74198e10 + 1.38918e10i −0.464764 + 0.370637i
\(441\) 8.40418e9 + 6.70211e9i 0.222198 + 0.177197i
\(442\) −7.90775e9 3.46461e10i −0.207188 0.907749i
\(443\) 5.24481e10 + 1.83524e10i 1.36180 + 0.476516i 0.909632 0.415415i \(-0.136364\pi\)
0.452172 + 0.891931i \(0.350649\pi\)
\(444\) −4.12959e10 8.57519e10i −1.06261 2.20654i
\(445\) 3.66172e10 2.30081e10i 0.933781 0.586734i
\(446\) 5.89945e10 2.06431e10i 1.49098 0.521717i
\(447\) −3.94402e10 3.94402e10i −0.987891 0.987891i
\(448\) −1.71753e10 + 3.56649e10i −0.426376 + 0.885380i
\(449\) 5.17872e9 + 4.59624e10i 0.127420 + 1.13088i 0.880864 + 0.473370i \(0.156963\pi\)
−0.753444 + 0.657512i \(0.771609\pi\)
\(450\) −7.95099e9 + 8.95862e8i −0.193897 + 0.0218470i
\(451\) 4.63055e10 + 2.22996e10i 1.11925 + 0.539002i
\(452\) −5.22742e9 + 5.22742e9i −0.125237 + 0.125237i
\(453\) 1.97264e10 + 5.63749e10i 0.468442 + 1.33873i
\(454\) −3.88596e10 6.18447e10i −0.914691 1.45572i
\(455\) 2.31654e10 1.11559e10i 0.540497 0.260290i
\(456\) 5.37993e9 1.53750e10i 0.124428 0.355594i
\(457\) −1.15045e10 + 2.62583e9i −0.263757 + 0.0602007i −0.352354 0.935867i \(-0.614619\pi\)
0.0885974 + 0.996068i \(0.471762\pi\)
\(458\) −7.49969e10 + 9.40431e10i −1.70444 + 2.13730i
\(459\) 9.13152e9 + 1.14506e10i 0.205727 + 0.257974i
\(460\) 2.34542e9 1.02760e10i 0.0523829 0.229505i
\(461\) −1.25479e10 + 1.99698e10i −0.277822 + 0.442151i −0.956265 0.292502i \(-0.905512\pi\)
0.678443 + 0.734653i \(0.262655\pi\)
\(462\) −4.17831e9 + 3.70835e10i −0.0917133 + 0.813978i
\(463\) 7.59515e9i 0.165277i 0.996580 + 0.0826385i \(0.0263347\pi\)
−0.996580 + 0.0826385i \(0.973665\pi\)
\(464\) 1.90206e8 + 1.92163e8i 0.00410347 + 0.00414570i
\(465\) 7.07117e10 1.51244
\(466\) −4.01594e9 4.52488e8i −0.0851617 0.00959541i
\(467\) 2.44441e10 + 1.53592e10i 0.513933 + 0.322925i 0.763906 0.645327i \(-0.223279\pi\)
−0.249973 + 0.968253i \(0.580422\pi\)
\(468\) −3.93943e10 8.99148e9i −0.821201 0.187434i
\(469\) −1.40515e10 + 1.12057e10i −0.290424 + 0.231605i
\(470\) −3.04526e9 2.42852e9i −0.0624070 0.0497679i
\(471\) −2.69350e9 1.18010e10i −0.0547310 0.239792i
\(472\) 6.54898e10 + 2.29159e10i 1.31949 + 0.461709i
\(473\) −3.15001e9 6.54106e9i −0.0629314 0.130678i
\(474\) 1.33887e11 8.41266e10i 2.65231 1.66656i
\(475\) 4.00122e9 1.40009e9i 0.0785992 0.0275030i
\(476\) 1.78289e10 + 1.78289e10i 0.347294 + 0.347294i
\(477\) −8.15127e9 + 1.69263e10i −0.157453 + 0.326955i
\(478\) 1.43228e10 + 1.27118e11i 0.274357 + 2.43498i
\(479\) −8.04211e9 + 9.06128e8i −0.152766 + 0.0172126i −0.188016 0.982166i \(-0.560206\pi\)
0.0352500 + 0.999379i \(0.488777\pi\)
\(480\) −4.90689e10 2.36303e10i −0.924361 0.445149i
\(481\) 5.47735e10 5.47735e10i 1.02327 1.02327i
\(482\) −2.49972e10 7.14380e10i −0.463131 1.32355i
\(483\) −3.59692e9 5.72447e9i −0.0660910 0.105183i
\(484\) −4.18348e10 + 2.01466e10i −0.762353 + 0.367130i
\(485\) −4.55083e9 + 1.30055e10i −0.0822477 + 0.235051i
\(486\) 7.40417e10 1.68995e10i 1.32719 0.302921i
\(487\) 2.58588e10 3.24259e10i 0.459719 0.576469i −0.496901 0.867807i \(-0.665529\pi\)
0.956620 + 0.291338i \(0.0941003\pi\)
\(488\) 3.74472e10 + 4.69574e10i 0.660299 + 0.827988i
\(489\) −1.13379e10 + 4.96746e10i −0.198288 + 0.868758i
\(490\) 2.68005e10 4.26527e10i 0.464898 0.739881i
\(491\) −6.11630e9 + 5.42837e10i −0.105236 + 0.933992i 0.824525 + 0.565826i \(0.191443\pi\)
−0.929760 + 0.368166i \(0.879986\pi\)
\(492\) 2.05531e11i 3.50765i
\(493\) −2.66062e10 + 1.26455e10i −0.450396 + 0.214066i
\(494\) 3.46174e10 0.581282
\(495\) −1.59067e10 1.79225e9i −0.264947 0.0298524i
\(496\) 4.38591e8 + 2.75585e8i 0.00724658 + 0.00455333i
\(497\) 5.01955e10 + 1.14568e10i 0.822696 + 0.187775i
\(498\) −1.67979e11 + 1.33959e11i −2.73110 + 2.17798i
\(499\) 1.18411e9 + 9.44297e8i 0.0190981 + 0.0152302i 0.632992 0.774158i \(-0.281826\pi\)
−0.613894 + 0.789388i \(0.710398\pi\)
\(500\) 2.44505e10 + 1.07125e11i 0.391208 + 1.71400i
\(501\) −1.00692e11 3.52338e10i −1.59825 0.559253i
\(502\) −5.32244e10 1.10522e11i −0.838100 1.74033i
\(503\) −5.17262e10 + 3.25017e10i −0.808051 + 0.507732i −0.871583 0.490248i \(-0.836906\pi\)
0.0635322 + 0.997980i \(0.479763\pi\)
\(504\) 1.67575e10 5.86372e9i 0.259710 0.0908763i
\(505\) −2.50195e10 2.50195e10i −0.384692 0.384692i
\(506\) −5.40214e9 + 1.12177e10i −0.0824069 + 0.171120i
\(507\) −2.94272e9 2.61173e10i −0.0445366 0.395273i
\(508\) −3.78574e10 + 4.26551e9i −0.568455 + 0.0640495i
\(509\) −7.46241e10 3.59371e10i −1.11175 0.535391i −0.214417 0.976742i \(-0.568785\pi\)
−0.897335 + 0.441351i \(0.854499\pi\)
\(510\) −3.98089e10 + 3.98089e10i −0.588436 + 0.588436i
\(511\) −1.06734e10 3.05029e10i −0.156538 0.447360i
\(512\) −4.26527e8 6.78814e8i −0.00620678 0.00987804i
\(513\) −1.28539e10 + 6.19013e9i −0.185595 + 0.0893779i
\(514\) 5.79191e10 1.65523e11i 0.829792 2.37141i
\(515\) −2.54524e10 + 5.80934e9i −0.361826 + 0.0825844i
\(516\) −1.81018e10 + 2.26990e10i −0.255343 + 0.320190i
\(517\) 1.77404e9 + 2.22457e9i 0.0248313 + 0.0311375i
\(518\) −1.97758e10 + 8.66436e10i −0.274673 + 1.20342i
\(519\) 6.94242e10 1.10488e11i 0.956845 1.52281i
\(520\) −8.11926e9 + 7.20604e10i −0.111046 + 0.985560i
\(521\) 6.67151e10i 0.905469i −0.891645 0.452734i \(-0.850449\pi\)
0.891645 0.452734i \(-0.149551\pi\)
\(522\) −2.77298e8 + 5.41629e10i −0.00373478 + 0.729491i
\(523\) −1.27319e11 −1.70171 −0.850856 0.525399i \(-0.823916\pi\)
−0.850856 + 0.525399i \(0.823916\pi\)
\(524\) −5.31559e10 5.98923e9i −0.705060 0.0794412i
\(525\) 1.25935e10 + 7.91303e9i 0.165772 + 0.104161i
\(526\) 1.36574e11 + 3.11722e10i 1.78413 + 0.407216i
\(527\) −4.41231e10 + 3.51870e10i −0.572037 + 0.456184i
\(528\) −2.95117e8 2.35348e8i −0.00379715 0.00302813i
\(529\) 1.69239e10 + 7.41485e10i 0.216112 + 0.946847i
\(530\) 8.30984e10 + 2.90774e10i 1.05315 + 0.368512i
\(531\) 2.16281e10 + 4.49111e10i 0.272044 + 0.564906i
\(532\) −2.07967e10 + 1.30674e10i −0.259626 + 0.163134i
\(533\) 1.57887e11 5.52471e10i 1.95631 0.684543i
\(534\) 1.44452e11 + 1.44452e11i 1.77648 + 1.77648i
\(535\) −3.07081e10 + 6.37660e10i −0.374833 + 0.778349i
\(536\) −5.67540e9 5.03706e10i −0.0687603 0.610264i
\(537\) 1.21856e11 1.37298e10i 1.46537 0.165108i
\(538\) −1.14850e11 5.53087e10i −1.37088 0.660183i
\(539\) −2.60202e10 + 2.60202e10i −0.308287 + 0.308287i
\(540\) −2.57748e10 7.36602e10i −0.303124 0.866279i
\(541\) 2.25439e10 + 3.58783e10i 0.263172 + 0.418835i 0.952004 0.306085i \(-0.0990193\pi\)
−0.688832 + 0.724921i \(0.741876\pi\)
\(542\) 8.26119e10 3.97838e10i 0.957295 0.461009i
\(543\) 4.65865e10 1.33137e11i 0.535872 1.53143i
\(544\) 4.23771e10 9.67229e9i 0.483878 0.110442i
\(545\) −2.57151e10 + 3.22457e10i −0.291476 + 0.365499i
\(546\) 7.57278e10 + 9.49596e10i 0.852088 + 1.06848i
\(547\) 1.53004e10 6.70356e10i 0.170905 0.748783i −0.814723 0.579851i \(-0.803111\pi\)
0.985628 0.168932i \(-0.0540320\pi\)
\(548\) 5.75941e10 9.16606e10i 0.638640 1.01639i
\(549\) −4.83125e9 + 4.28786e10i −0.0531827 + 0.472010i
\(550\) 2.73908e10i 0.299332i
\(551\) −6.24215e9 2.80088e10i −0.0677216 0.303871i
\(552\) 1.90677e10 0.205373
\(553\) −9.07330e10 1.02232e10i −0.970208 0.109316i
\(554\) −1.22245e11 7.68118e10i −1.29776 0.815434i
\(555\) −1.19639e11 2.73067e10i −1.26095 0.287804i
\(556\) −1.20507e11 + 9.61015e10i −1.26100 + 1.00561i
\(557\) −7.61860e10 6.07563e10i −0.791506 0.631205i 0.141960 0.989872i \(-0.454660\pi\)
−0.933465 + 0.358668i \(0.883231\pi\)
\(558\) 2.30900e10 + 1.01164e11i 0.238170 + 1.04349i
\(559\) −2.23030e10 7.80415e9i −0.228410 0.0799242i
\(560\) −1.29462e8 2.68831e8i −0.00131641 0.00273355i
\(561\) 3.48224e10 2.18803e10i 0.351566 0.220904i
\(562\) 2.18744e11 7.65417e10i 2.19276 0.767278i
\(563\) −5.72457e10 5.72457e10i −0.569782 0.569782i 0.362285 0.932067i \(-0.381997\pi\)
−0.932067 + 0.362285i \(0.881997\pi\)
\(564\) 4.93697e9 1.02517e10i 0.0487915 0.101317i
\(565\) 1.06720e9 + 9.47170e9i 0.0104726 + 0.0929467i
\(566\) −2.15412e11 + 2.42711e10i −2.09896 + 0.236496i
\(567\) −7.06007e10 3.39995e10i −0.683088 0.328958i
\(568\) −1.02680e11 + 1.02680e11i −0.986485 + 0.986485i
\(569\) 6.86707e9 + 1.96250e10i 0.0655122 + 0.187223i 0.971986 0.235039i \(-0.0755218\pi\)
−0.906474 + 0.422262i \(0.861236\pi\)
\(570\) −2.91773e10 4.64354e10i −0.276405 0.439896i
\(571\) −1.35532e11 + 6.52687e10i −1.27496 + 0.613989i −0.944090 0.329686i \(-0.893057\pi\)
−0.330872 + 0.943676i \(0.607343\pi\)
\(572\) 4.56862e10 1.30564e11i 0.426777 1.21966i
\(573\) −1.04318e11 + 2.38100e10i −0.967703 + 0.220872i
\(574\) −1.19657e11 + 1.50045e11i −1.10227 + 1.38221i
\(575\) 3.09390e9 + 3.87963e9i 0.0283032 + 0.0354911i
\(576\) 1.78484e10 7.81987e10i 0.162147 0.710411i
\(577\) 4.59649e10 7.31527e10i 0.414690 0.659975i −0.572431 0.819953i \(-0.694000\pi\)
0.987121 + 0.159978i \(0.0511424\pi\)
\(578\) −1.51992e10 + 1.34896e11i −0.136178 + 1.20862i
\(579\) 1.00256e10i 0.0892060i
\(580\) 1.56068e11 1.67760e10i 1.37912 0.148244i
\(581\) 1.24065e11 1.08880
\(582\) −6.46795e10 7.28763e9i −0.563735 0.0635177i
\(583\) −5.44550e10 3.42163e10i −0.471372 0.296183i
\(584\) 8.88589e10 + 2.02815e10i 0.763923 + 0.174360i
\(585\) −4.07322e10 + 3.24829e10i −0.347788 + 0.277352i
\(586\) 5.26870e10 + 4.20165e10i 0.446800 + 0.356311i
\(587\) 9.79176e9 + 4.29005e10i 0.0824723 + 0.361335i 0.999278 0.0379993i \(-0.0120985\pi\)
−0.916805 + 0.399334i \(0.869241\pi\)
\(588\) 1.38899e11 + 4.86028e10i 1.16195 + 0.406585i
\(589\) −2.38528e10 4.95308e10i −0.198188 0.411542i
\(590\) 1.97792e11 1.24281e11i 1.63230 1.02564i
\(591\) 1.87191e11 6.55008e10i 1.53438 0.536904i
\(592\) −6.35638e8 6.35638e8i −0.00517515 0.00517515i
\(593\) 2.96362e10 6.15402e10i 0.239665 0.497669i −0.746093 0.665842i \(-0.768072\pi\)
0.985757 + 0.168173i \(0.0537868\pi\)
\(594\) 1.03214e10 + 9.16046e10i 0.0829070 + 0.735820i
\(595\) 3.23046e10 3.63986e9i 0.257749 0.0290413i
\(596\) −2.13711e11 1.02918e11i −1.69372 0.815653i
\(597\) −9.36227e10 + 9.36227e10i −0.737028 + 0.737028i
\(598\) 1.33838e10 + 3.82487e10i 0.104658 + 0.299097i
\(599\) −7.70362e10 1.22602e11i −0.598395 0.952340i −0.999343 0.0362392i \(-0.988462\pi\)
0.400948 0.916101i \(-0.368681\pi\)
\(600\) −3.77939e10 + 1.82006e10i −0.291619 + 0.140436i
\(601\) −7.95503e10 + 2.27342e11i −0.609739 + 1.74253i 0.0581877 + 0.998306i \(0.481468\pi\)
−0.667926 + 0.744227i \(0.732818\pi\)
\(602\) 2.64299e10 6.03245e9i 0.201238 0.0459312i
\(603\) 2.27057e10 2.84720e10i 0.171738 0.215352i
\(604\) 1.58365e11 + 1.98583e11i 1.18990 + 1.49209i
\(605\) −1.33218e10 + 5.83666e10i −0.0994355 + 0.435655i
\(606\) 8.89259e10 1.41525e11i 0.659383 1.04940i
\(607\) −2.82006e10 + 2.50287e11i −0.207732 + 1.84367i 0.267192 + 0.963643i \(0.413904\pi\)
−0.474924 + 0.880027i \(0.657524\pi\)
\(608\) 4.23420e10i 0.309854i
\(609\) 6.31764e10 7.83940e10i 0.459289 0.569920i
\(610\) 2.02210e11 1.46044
\(611\) 9.20237e9 + 1.03686e9i 0.0660290 + 0.00743968i
\(612\) −4.32591e10 2.71815e10i −0.308370 0.193761i
\(613\) 1.49463e11 + 3.41140e10i 1.05851 + 0.241597i 0.716130 0.697967i \(-0.245912\pi\)
0.342375 + 0.939563i \(0.388769\pi\)
\(614\) −5.29890e10 + 4.22573e10i −0.372831 + 0.297323i
\(615\) −2.07183e11 1.65223e11i −1.44829 1.15497i
\(616\) 1.35240e10 + 5.92527e10i 0.0939255 + 0.411515i
\(617\) 1.50516e11 + 5.26679e10i 1.03859 + 0.363417i 0.795095 0.606485i \(-0.207421\pi\)
0.243493 + 0.969903i \(0.421707\pi\)
\(618\) −5.35089e10 1.11112e11i −0.366836 0.761742i
\(619\) −2.10620e10 + 1.32342e10i −0.143462 + 0.0901434i −0.601851 0.798609i \(-0.705570\pi\)
0.458388 + 0.888752i \(0.348427\pi\)
\(620\) 2.83839e11 9.93196e10i 1.92090 0.672153i
\(621\) −1.18090e10 1.18090e10i −0.0794051 0.0794051i
\(622\) −3.47882e10 + 7.22384e10i −0.232418 + 0.482621i
\(623\) −1.32078e10 1.17222e11i −0.0876752 0.778139i
\(624\) −1.22081e9 + 1.37552e8i −0.00805210 + 0.000907253i
\(625\) 9.08696e10 + 4.37605e10i 0.595523 + 0.286789i
\(626\) −2.37055e11 + 2.37055e11i −1.54366 + 1.54366i
\(627\) 1.32315e10 + 3.78135e10i 0.0856130 + 0.244668i
\(628\) −2.73872e10 4.35864e10i −0.176079 0.280229i
\(629\) 8.82410e10 4.24946e10i 0.563725 0.271476i
\(630\) 1.97417e10 5.64185e10i 0.125321 0.358146i
\(631\) 2.82462e11 6.44702e10i 1.78174 0.406670i 0.800477 0.599364i \(-0.204580\pi\)
0.981259 + 0.192694i \(0.0617224\pi\)
\(632\) 1.60561e11 2.01337e11i 1.00640 1.26199i
\(633\) 1.72685e11 + 2.16540e11i 1.07557 + 1.34872i
\(634\) 6.92330e10 3.03330e11i 0.428505 1.87740i
\(635\) −2.61332e10 + 4.15908e10i −0.160730 + 0.255801i
\(636\) −2.87959e10 + 2.55570e11i −0.175996 + 1.56200i
\(637\) 1.19765e11i 0.727401i
\(638\) −1.84143e11 2.17032e10i −1.11141 0.130991i
\(639\) −1.04325e11 −0.625727
\(640\) −2.31502e11 2.60840e10i −1.37986 0.155473i
\(641\) 1.07745e11 + 6.77009e10i 0.638215 + 0.401017i 0.811910 0.583783i \(-0.198428\pi\)
−0.173695 + 0.984799i \(0.555571\pi\)
\(642\) −3.25948e11 7.43955e10i −1.91871 0.437932i
\(643\) 3.21915e10 2.56718e10i 0.188320 0.150180i −0.524791 0.851231i \(-0.675857\pi\)
0.713112 + 0.701051i \(0.247285\pi\)
\(644\) −2.24786e10 1.79261e10i −0.130685 0.104218i
\(645\) 8.32968e9 + 3.64947e10i 0.0481271 + 0.210858i
\(646\) 4.13131e10 + 1.44561e10i 0.237223 + 0.0830081i
\(647\) −8.16374e10 1.69522e11i −0.465878 0.967406i −0.993055 0.117650i \(-0.962464\pi\)
0.527177 0.849755i \(-0.323250\pi\)
\(648\) 1.87132e11 1.17583e11i 1.06132 0.666873i
\(649\) −1.61067e11 + 5.63598e10i −0.907878 + 0.317680i
\(650\) −6.30370e10 6.30370e10i −0.353136 0.353136i
\(651\) 8.36894e10 1.73783e11i 0.465958 0.967571i
\(652\) 2.42608e10 + 2.15320e11i 0.134250 + 1.19150i
\(653\) 2.82089e11 3.17838e10i 1.55144 0.174805i 0.705741 0.708470i \(-0.250614\pi\)
0.845696 + 0.533665i \(0.179186\pi\)
\(654\) −1.75536e11 8.45335e10i −0.959520 0.462081i
\(655\) −4.87686e10 + 4.87686e10i −0.264957 + 0.264957i
\(656\) −6.41134e8 1.83226e9i −0.00346205 0.00989398i
\(657\) 3.48382e10 + 5.54447e10i 0.186980 + 0.297576i
\(658\) −9.57254e9 + 4.60989e9i −0.0510650 + 0.0245916i
\(659\) −4.05599e10 + 1.15913e11i −0.215058 + 0.614599i −0.999988 0.00498526i \(-0.998413\pi\)
0.784930 + 0.619584i \(0.212699\pi\)
\(660\) −2.13643e11 + 4.87627e10i −1.12594 + 0.256988i
\(661\) 1.67648e11 2.10225e11i 0.878201 1.10123i −0.115953 0.993255i \(-0.536992\pi\)
0.994154 0.107974i \(-0.0344363\pi\)
\(662\) 2.03137e11 + 2.54725e11i 1.05769 + 1.32630i
\(663\) 2.97847e10 1.30495e11i 0.154148 0.675368i
\(664\) −1.86164e11 + 2.96278e11i −0.957685 + 1.52415i
\(665\) −3.54566e9 + 3.14686e10i −0.0181305 + 0.160913i
\(666\) 1.80078e11i 0.915298i
\(667\) 2.85335e10 1.77257e10i 0.144163 0.0895572i
\(668\) −4.53671e11 −2.27843
\(669\) 2.33934e11 + 2.63581e10i 1.16786 + 0.131586i
\(670\) −1.44501e11 9.07958e10i −0.717085 0.450574i
\(671\) −1.44011e11 3.28696e10i −0.710405 0.162145i
\(672\) −1.16149e11 + 9.26257e10i −0.569559 + 0.454208i
\(673\) −2.93980e11 2.34441e11i −1.43304 1.14281i −0.965990 0.258578i \(-0.916746\pi\)
−0.467048 0.884232i \(-0.654682\pi\)
\(674\) −4.30953e10 1.88813e11i −0.208829 0.914938i
\(675\) 3.46785e10 + 1.21345e10i 0.167049 + 0.0584531i
\(676\) −4.84958e10 1.00703e11i −0.232230 0.482230i
\(677\) −2.79012e11 + 1.75315e11i −1.32822 + 0.834573i −0.994153 0.107978i \(-0.965563\pi\)
−0.334062 + 0.942551i \(0.608420\pi\)
\(678\) −4.24993e10 + 1.48712e10i −0.201124 + 0.0703762i
\(679\) 2.65767e10 + 2.65767e10i 0.125032 + 0.125032i
\(680\) −3.97818e10 + 8.26077e10i −0.186058 + 0.386353i
\(681\) −3.08021e10 2.73376e11i −0.143216 1.27108i
\(682\) −3.52986e11 + 3.97719e10i −1.63162 + 0.183840i
\(683\) 1.53030e11 + 7.36952e10i 0.703223 + 0.338654i 0.751090 0.660199i \(-0.229528\pi\)
−0.0478675 + 0.998854i \(0.515243\pi\)
\(684\) 3.51911e10 3.51911e10i 0.160771 0.160771i
\(685\) −4.60984e10 1.31742e11i −0.209375 0.598358i
\(686\) −1.89021e11 3.00825e11i −0.853519 1.35837i
\(687\) −4.08191e11 + 1.96575e11i −1.83247 + 0.882471i
\(688\) −9.05659e7 + 2.58823e8i −0.000404214 + 0.00115518i
\(689\) −2.04068e11 + 4.65771e10i −0.905519 + 0.206679i
\(690\) 4.00258e10 5.01908e10i 0.176581 0.221426i
\(691\) −9.90626e10 1.24221e11i −0.434508 0.544855i 0.515579 0.856842i \(-0.327577\pi\)
−0.950086 + 0.311987i \(0.899006\pi\)
\(692\) 1.23483e11 5.41014e11i 0.538496 2.35930i
\(693\) −2.32307e10 + 3.69715e10i −0.100723 + 0.160300i
\(694\) 3.24176e10 2.87714e11i 0.139747 1.24029i
\(695\) 1.98731e11i 0.851778i
\(696\) 9.24130e10 + 2.68503e11i 0.393818 + 1.14423i
\(697\) 2.11497e11 0.896133
\(698\) −1.24687e11 1.40489e10i −0.525292 0.0591861i
\(699\) −1.28887e10 8.09851e9i −0.0539884 0.0339232i
\(700\) 6.16652e10 + 1.40747e10i 0.256831 + 0.0586201i
\(701\) 2.76852e10 2.20782e10i 0.114651 0.0914308i −0.564486 0.825442i \(-0.690926\pi\)
0.679137 + 0.734012i \(0.262354\pi\)
\(702\) 2.34572e11 + 1.87065e11i 0.965889 + 0.770271i
\(703\) 2.12297e10 + 9.30134e10i 0.0869206 + 0.380824i
\(704\) 2.59173e11 + 9.06885e10i 1.05511 + 0.369200i
\(705\) −6.36539e9 1.32179e10i −0.0257673 0.0535063i
\(706\) 5.78199e11 3.63306e11i 2.32733 1.46236i
\(707\) −9.11000e10 + 3.18773e10i −0.364620 + 0.127586i
\(708\) 4.82533e11 + 4.82533e11i 1.92041 + 1.92041i
\(709\) −1.31086e11 + 2.72203e11i −0.518766 + 1.07723i 0.462863 + 0.886430i \(0.346822\pi\)
−0.981629 + 0.190799i \(0.938892\pi\)
\(710\) 5.47382e10 + 4.85815e11i 0.215406 + 1.91178i
\(711\) 1.83849e11 2.07148e10i 0.719420 0.0810592i
\(712\) 2.99754e11 + 1.44354e11i 1.16639 + 0.561705i
\(713\) 4.55045e10 4.55045e10i 0.176074 0.176074i
\(714\) 5.07203e10 + 1.44950e11i 0.195159 + 0.557733i
\(715\) −9.48870e10 1.51012e11i −0.363063 0.577812i
\(716\) 4.69848e11 2.26267e11i 1.78774 0.860932i
\(717\) −1.59136e11 + 4.54784e11i −0.602131 + 1.72079i
\(718\) −1.48478e11 + 3.38891e10i −0.558681 + 0.127515i
\(719\) −1.68580e10 + 2.11393e10i −0.0630798 + 0.0790996i −0.812370 0.583142i \(-0.801823\pi\)
0.749291 + 0.662241i \(0.230395\pi\)
\(720\) 3.76959e8 + 4.72691e8i 0.00140270 + 0.00175893i
\(721\) −1.58465e10 + 6.94279e10i −0.0586397 + 0.256917i
\(722\) 2.11356e11 3.36371e11i 0.777796 1.23786i
\(723\) 3.19177e10 2.83277e11i 0.116809 1.03671i
\(724\) 5.99849e11i 2.18317i
\(725\) −3.96363e10 + 6.23697e10i −0.143463 + 0.225747i
\(726\) −2.82806e11 −1.01799
\(727\) −1.31550e11 1.48221e10i −0.470926 0.0530606i −0.126687 0.991943i \(-0.540434\pi\)
−0.344239 + 0.938882i \(0.611863\pi\)
\(728\) 1.67488e11 + 1.05240e11i 0.596291 + 0.374674i
\(729\) −6.46350e10 1.47525e10i −0.228853 0.0522343i
\(730\) 2.39913e11 1.91324e11i 0.844815 0.673718i
\(731\) −2.33578e10 1.86272e10i −0.0818018 0.0652348i
\(732\) 1.31446e11 + 5.75904e11i 0.457830 + 2.00588i
\(733\) 3.74509e11 + 1.31046e11i 1.29732 + 0.453952i 0.888589 0.458704i \(-0.151686\pi\)
0.408730 + 0.912655i \(0.365972\pi\)
\(734\) 2.02930e11 + 4.21388e11i 0.699137 + 1.45177i
\(735\) 1.60652e11 1.00944e11i 0.550474 0.345886i
\(736\) −4.67835e10 + 1.63703e10i −0.159434 + 0.0557885i
\(737\) 8.81524e10 + 8.81524e10i 0.298789 + 0.298789i
\(738\) 1.68724e11 3.50358e11i 0.568788 1.18110i
\(739\) −8.59922e9 7.63202e10i −0.0288324 0.255895i −0.999857 0.0169149i \(-0.994616\pi\)
0.971025 0.238980i \(-0.0768130\pi\)
\(740\) −5.18587e11 + 5.84308e10i −1.72940 + 0.194856i
\(741\) 1.17475e11 + 5.65729e10i 0.389647 + 0.187644i
\(742\) 1.69811e11 1.69811e11i 0.560208 0.560208i
\(743\) 1.25700e10 + 3.59230e10i 0.0412458 + 0.117874i 0.962664 0.270698i \(-0.0872544\pi\)
−0.921419 + 0.388572i \(0.872969\pi\)
\(744\) 2.89428e11 + 4.60623e11i 0.944603 + 1.50333i
\(745\) −2.75544e11 + 1.32695e11i −0.894471 + 0.430754i
\(746\) 7.38579e10 2.11074e11i 0.238474 0.681521i
\(747\) −2.45086e11 + 5.59393e10i −0.787112 + 0.179653i
\(748\) 1.09046e11 1.36739e11i 0.348339 0.436803i
\(749\) 1.20369e11 + 1.50938e11i 0.382461 + 0.479591i
\(750\) −1.48919e11 + 6.52455e11i −0.470656 + 2.06208i
\(751\) 2.26117e11 3.59863e11i 0.710843 1.13130i −0.274644 0.961546i \(-0.588560\pi\)
0.985487 0.169753i \(-0.0542971\pi\)
\(752\) 1.20326e7 1.06792e8i 3.76259e−5 0.000333939i
\(753\) 4.62038e11i 1.43713i
\(754\) −4.73734e11 + 3.73839e11i −1.46571 + 1.15664i
\(755\) 3.27487e11 1.00787
\(756\) −2.11534e11 2.38342e10i −0.647580 0.0729647i
\(757\) 1.16116e11 + 7.29606e10i 0.353597 + 0.222180i 0.697104 0.716970i \(-0.254472\pi\)
−0.343506 + 0.939150i \(0.611615\pi\)
\(758\) 1.15526e11 + 2.63681e10i 0.349948 + 0.0798733i
\(759\) −3.66645e10 + 2.92389e10i −0.110479 + 0.0881038i
\(760\) −6.98291e10 5.56868e10i −0.209306 0.166916i
\(761\) −1.29192e11 5.66027e11i −0.385210 1.68771i −0.680857 0.732417i \(-0.738392\pi\)
0.295647 0.955297i \(-0.404465\pi\)
\(762\) −2.19013e11