Properties

Label 43.10.c.a.36.11
Level 43
Weight 10
Character 43.36
Analytic conductor 22.147
Analytic rank 0
Dimension 64
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 36.11
Character \(\chi\) \(=\) 43.36
Dual form 43.10.c.a.6.11

$q$-expansion

\(f(q)\) \(=\) \(q-17.1502 q^{2} +(-66.7974 - 115.697i) q^{3} -217.870 q^{4} +(-131.077 - 227.033i) q^{5} +(1145.59 + 1984.22i) q^{6} +(1324.62 - 2294.32i) q^{7} +12517.4 q^{8} +(917.711 - 1589.52i) q^{9} +O(q^{10})\) \(q-17.1502 q^{2} +(-66.7974 - 115.697i) q^{3} -217.870 q^{4} +(-131.077 - 227.033i) q^{5} +(1145.59 + 1984.22i) q^{6} +(1324.62 - 2294.32i) q^{7} +12517.4 q^{8} +(917.711 - 1589.52i) q^{9} +(2248.01 + 3893.66i) q^{10} +44267.8 q^{11} +(14553.2 + 25206.8i) q^{12} +(75299.8 - 130423. i) q^{13} +(-22717.6 + 39348.0i) q^{14} +(-17511.3 + 30330.4i) q^{15} -103127. q^{16} +(2936.61 - 5086.36i) q^{17} +(-15738.9 + 27260.6i) q^{18} +(262927. + 455403. i) q^{19} +(28557.9 + 49463.7i) q^{20} -353926. q^{21} -759201. q^{22} +(38900.5 + 67377.7i) q^{23} +(-836132. - 1.44822e6i) q^{24} +(942200. - 1.63194e6i) q^{25} +(-1.29141e6 + 2.23678e6i) q^{26} -2.87475e6 q^{27} +(-288596. + 499863. i) q^{28} +(448696. - 777164. i) q^{29} +(300322. - 520173. i) q^{30} +(-2.80274e6 - 4.85450e6i) q^{31} -4.64028e6 q^{32} +(-2.95697e6 - 5.12163e6i) q^{33} +(-50363.5 + 87232.2i) q^{34} -694513. q^{35} +(-199942. + 346310. i) q^{36} +(-5.36678e6 - 9.29553e6i) q^{37} +(-4.50925e6 - 7.81025e6i) q^{38} -2.01193e7 q^{39} +(-1.64075e6 - 2.84187e6i) q^{40} +4.03062e6 q^{41} +6.06990e6 q^{42} +(2.17421e7 + 5.46573e6i) q^{43} -9.64463e6 q^{44} -481165. q^{45} +(-667152. - 1.15554e6i) q^{46} -3.12891e7 q^{47} +(6.88861e6 + 1.19314e7i) q^{48} +(1.66675e7 + 2.88690e7i) q^{49} +(-1.61589e7 + 2.79881e7i) q^{50} -784632. q^{51} +(-1.64056e7 + 2.84153e7i) q^{52} +(-6.39431e6 - 1.10753e7i) q^{53} +4.93026e7 q^{54} +(-5.80250e6 - 1.00502e7i) q^{55} +(1.65809e7 - 2.87189e7i) q^{56} +(3.51257e7 - 6.08394e7i) q^{57} +(-7.69523e6 + 1.33285e7i) q^{58} +1.71788e8 q^{59} +(3.81519e6 - 6.60809e6i) q^{60} +(-1.63001e7 + 2.82326e7i) q^{61} +(4.80677e7 + 8.32556e7i) q^{62} +(-2.43124e6 - 4.21104e6i) q^{63} +1.32383e8 q^{64} -3.94804e7 q^{65} +(5.07127e7 + 8.78370e7i) q^{66} +(-9.02569e7 - 1.56329e8i) q^{67} +(-639801. + 1.10817e6i) q^{68} +(5.19691e6 - 9.00131e6i) q^{69} +1.19110e7 q^{70} +(-6.61232e6 + 1.14529e7i) q^{71} +(1.14874e7 - 1.98967e7i) q^{72} +(-1.15804e8 + 2.00579e8i) q^{73} +(9.20414e7 + 1.59420e8i) q^{74} -2.51746e8 q^{75} +(-5.72840e7 - 9.92187e7i) q^{76} +(5.86381e7 - 1.01564e8i) q^{77} +3.45051e8 q^{78} +(-7.11904e7 + 1.23305e8i) q^{79} +(1.35176e7 + 2.34132e7i) q^{80} +(1.73963e8 + 3.01312e8i) q^{81} -6.91260e7 q^{82} +(-1.21992e8 - 2.11296e8i) q^{83} +7.71099e7 q^{84} -1.53969e6 q^{85} +(-3.72881e8 - 9.37385e7i) q^{86} -1.19887e8 q^{87} +5.54119e8 q^{88} +(-3.13510e8 - 5.43015e8i) q^{89} +8.25208e6 q^{90} +(-1.99488e8 - 3.45523e8i) q^{91} +(-8.47527e6 - 1.46796e7i) q^{92} +(-3.74432e8 + 6.48536e8i) q^{93} +5.36614e8 q^{94} +(6.89275e7 - 1.19386e8i) q^{95} +(3.09958e8 + 5.36864e8i) q^{96} -7.37221e8 q^{97} +(-2.85852e8 - 4.95110e8i) q^{98} +(4.06250e7 - 7.03646e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} + O(q^{10}) \) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} - 6237q^{10} - 180682q^{11} + 274344q^{12} + 115245q^{13} - 171208q^{14} + 138833q^{15} + 4289206q^{16} + 65180q^{17} + 603985q^{18} + 39150q^{19} - 2709775q^{20} - 3105162q^{21} + 598456q^{22} + 1285907q^{23} - 292550q^{24} - 14709917q^{25} + 5332695q^{26} - 20118002q^{27} - 5475298q^{28} + 1274091q^{29} + 28424751q^{30} + 2899781q^{31} - 16322030q^{32} + 30668912q^{33} + 6822099q^{34} - 14750922q^{35} - 113819232q^{36} - 13772217q^{37} + 2700532q^{38} + 49876982q^{39} - 55802359q^{40} + 5375394q^{41} - 62768266q^{42} - 4250879q^{43} - 125171958q^{44} + 74719384q^{45} - 91405220q^{46} + 46104596q^{47} + 294588191q^{48} - 233221733q^{49} + 380339342q^{50} + 229598406q^{51} + 166281612q^{52} + 125396641q^{53} - 137752484q^{54} + 139471854q^{55} + 41104589q^{56} - 289586721q^{57} - 183782516q^{58} - 637949078q^{59} - 70735747q^{60} - 95573327q^{61} + 181277053q^{62} + 226632970q^{63} + 712599660q^{64} - 498753718q^{65} - 349240445q^{66} - 276270786q^{67} + 1034771928q^{68} - 199705103q^{69} + 1780847990q^{70} + 651945247q^{71} - 270063054q^{72} - 182725322q^{73} - 193737672q^{74} - 3155252572q^{75} + 492133584q^{76} + 216024528q^{77} + 2562586420q^{78} - 376932221q^{79} - 783129021q^{80} - 2146956496q^{81} + 2373824428q^{82} + 1008544071q^{83} - 9413139208q^{84} - 1131353054q^{85} - 1641459050q^{86} + 5060470018q^{87} + 369936980q^{88} + 2244184366q^{89} + 3302428348q^{90} + 3951711q^{91} + 4361095637q^{92} + 3133616089q^{93} + 3002217406q^{94} + 1515822931q^{95} + 69408612q^{96} - 6951085934q^{97} + 1120193981q^{98} + 1264470179q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −17.1502 −0.757939 −0.378970 0.925409i \(-0.623722\pi\)
−0.378970 + 0.925409i \(0.623722\pi\)
\(3\) −66.7974 115.697i −0.476117 0.824659i 0.523508 0.852021i \(-0.324623\pi\)
−0.999626 + 0.0273612i \(0.991290\pi\)
\(4\) −217.870 −0.425528
\(5\) −131.077 227.033i −0.0937914 0.162451i 0.815312 0.579022i \(-0.196565\pi\)
−0.909104 + 0.416570i \(0.863232\pi\)
\(6\) 1145.59 + 1984.22i 0.360868 + 0.625042i
\(7\) 1324.62 2294.32i 0.208522 0.361170i −0.742727 0.669594i \(-0.766468\pi\)
0.951249 + 0.308424i \(0.0998015\pi\)
\(8\) 12517.4 1.08046
\(9\) 917.711 1589.52i 0.0466246 0.0807561i
\(10\) 2248.01 + 3893.66i 0.0710882 + 0.123128i
\(11\) 44267.8 0.911634 0.455817 0.890074i \(-0.349347\pi\)
0.455817 + 0.890074i \(0.349347\pi\)
\(12\) 14553.2 + 25206.8i 0.202601 + 0.350916i
\(13\) 75299.8 130423.i 0.731221 1.26651i −0.225140 0.974326i \(-0.572284\pi\)
0.956361 0.292186i \(-0.0943827\pi\)
\(14\) −22717.6 + 39348.0i −0.158047 + 0.273745i
\(15\) −17511.3 + 30330.4i −0.0893114 + 0.154692i
\(16\) −103127. −0.393398
\(17\) 2936.61 5086.36i 0.00852759 0.0147702i −0.861730 0.507367i \(-0.830619\pi\)
0.870258 + 0.492597i \(0.163952\pi\)
\(18\) −15738.9 + 27260.6i −0.0353386 + 0.0612082i
\(19\) 262927. + 455403.i 0.462854 + 0.801686i 0.999102 0.0423743i \(-0.0134922\pi\)
−0.536248 + 0.844060i \(0.680159\pi\)
\(20\) 28557.9 + 49463.7i 0.0399109 + 0.0691276i
\(21\) −353926. −0.397123
\(22\) −759201. −0.690963
\(23\) 38900.5 + 67377.7i 0.0289855 + 0.0502043i 0.880154 0.474688i \(-0.157439\pi\)
−0.851169 + 0.524892i \(0.824106\pi\)
\(24\) −836132. 1.44822e6i −0.514428 0.891015i
\(25\) 942200. 1.63194e6i 0.482406 0.835552i
\(26\) −1.29141e6 + 2.23678e6i −0.554221 + 0.959940i
\(27\) −2.87475e6 −1.04103
\(28\) −288596. + 499863.i −0.0887318 + 0.153688i
\(29\) 448696. 777164.i 0.117804 0.204043i −0.801093 0.598540i \(-0.795748\pi\)
0.918897 + 0.394497i \(0.129081\pi\)
\(30\) 300322. 520173.i 0.0676926 0.117247i
\(31\) −2.80274e6 4.85450e6i −0.545075 0.944097i −0.998602 0.0528547i \(-0.983168\pi\)
0.453528 0.891242i \(-0.350165\pi\)
\(32\) −4.64028e6 −0.782292
\(33\) −2.95697e6 5.12163e6i −0.434045 0.751788i
\(34\) −50363.5 + 87232.2i −0.00646340 + 0.0111949i
\(35\) −694513. −0.0782301
\(36\) −199942. + 346310.i −0.0198401 + 0.0343640i
\(37\) −5.36678e6 9.29553e6i −0.470767 0.815392i 0.528674 0.848825i \(-0.322689\pi\)
−0.999441 + 0.0334327i \(0.989356\pi\)
\(38\) −4.50925e6 7.81025e6i −0.350815 0.607629i
\(39\) −2.01193e7 −1.39259
\(40\) −1.64075e6 2.84187e6i −0.101338 0.175523i
\(41\) 4.03062e6 0.222764 0.111382 0.993778i \(-0.464472\pi\)
0.111382 + 0.993778i \(0.464472\pi\)
\(42\) 6.06990e6 0.300995
\(43\) 2.17421e7 + 5.46573e6i 0.969825 + 0.243804i
\(44\) −9.64463e6 −0.387926
\(45\) −481165. −0.0174919
\(46\) −667152. 1.15554e6i −0.0219692 0.0380518i
\(47\) −3.12891e7 −0.935303 −0.467651 0.883913i \(-0.654900\pi\)
−0.467651 + 0.883913i \(0.654900\pi\)
\(48\) 6.88861e6 + 1.19314e7i 0.187304 + 0.324419i
\(49\) 1.66675e7 + 2.88690e7i 0.413037 + 0.715402i
\(50\) −1.61589e7 + 2.79881e7i −0.365635 + 0.633298i
\(51\) −784632. −0.0162405
\(52\) −1.64056e7 + 2.84153e7i −0.311155 + 0.538937i
\(53\) −6.39431e6 1.10753e7i −0.111315 0.192803i 0.804986 0.593294i \(-0.202173\pi\)
−0.916301 + 0.400491i \(0.868839\pi\)
\(54\) 4.93026e7 0.789037
\(55\) −5.80250e6 1.00502e7i −0.0855034 0.148096i
\(56\) 1.65809e7 2.87189e7i 0.225300 0.390231i
\(57\) 3.51257e7 6.08394e7i 0.440745 0.763393i
\(58\) −7.69523e6 + 1.33285e7i −0.0892885 + 0.154652i
\(59\) 1.71788e8 1.84569 0.922843 0.385176i \(-0.125859\pi\)
0.922843 + 0.385176i \(0.125859\pi\)
\(60\) 3.81519e6 6.60809e6i 0.0380045 0.0658257i
\(61\) −1.63001e7 + 2.82326e7i −0.150732 + 0.261076i −0.931497 0.363749i \(-0.881497\pi\)
0.780765 + 0.624825i \(0.214830\pi\)
\(62\) 4.80677e7 + 8.32556e7i 0.413133 + 0.715568i
\(63\) −2.43124e6 4.21104e6i −0.0194445 0.0336788i
\(64\) 1.32383e8 0.986328
\(65\) −3.94804e7 −0.274329
\(66\) 5.07127e7 + 8.78370e7i 0.328980 + 0.569809i
\(67\) −9.02569e7 1.56329e8i −0.547197 0.947773i −0.998465 0.0553845i \(-0.982362\pi\)
0.451268 0.892388i \(-0.350972\pi\)
\(68\) −639801. + 1.10817e6i −0.00362873 + 0.00628514i
\(69\) 5.19691e6 9.00131e6i 0.0276010 0.0478063i
\(70\) 1.19110e7 0.0592937
\(71\) −6.61232e6 + 1.14529e7i −0.0308810 + 0.0534875i −0.881053 0.473018i \(-0.843165\pi\)
0.850172 + 0.526505i \(0.176498\pi\)
\(72\) 1.14874e7 1.98967e7i 0.0503762 0.0872541i
\(73\) −1.15804e8 + 2.00579e8i −0.477278 + 0.826669i −0.999661 0.0260415i \(-0.991710\pi\)
0.522383 + 0.852711i \(0.325043\pi\)
\(74\) 9.20414e7 + 1.59420e8i 0.356813 + 0.618018i
\(75\) −2.51746e8 −0.918728
\(76\) −5.72840e7 9.92187e7i −0.196957 0.341140i
\(77\) 5.86381e7 1.01564e8i 0.190095 0.329255i
\(78\) 3.45051e8 1.05550
\(79\) −7.11904e7 + 1.23305e8i −0.205636 + 0.356172i −0.950335 0.311228i \(-0.899260\pi\)
0.744699 + 0.667400i \(0.232593\pi\)
\(80\) 1.35176e7 + 2.34132e7i 0.0368973 + 0.0639081i
\(81\) 1.73963e8 + 3.01312e8i 0.449028 + 0.777739i
\(82\) −6.91260e7 −0.168842
\(83\) −1.21992e8 2.11296e8i −0.282150 0.488698i 0.689764 0.724034i \(-0.257714\pi\)
−0.971914 + 0.235336i \(0.924381\pi\)
\(84\) 7.71099e7 0.168987
\(85\) −1.53969e6 −0.00319926
\(86\) −3.72881e8 9.37385e7i −0.735068 0.184788i
\(87\) −1.19887e8 −0.224355
\(88\) 5.54119e8 0.984987
\(89\) −3.13510e8 5.43015e8i −0.529659 0.917396i −0.999402 0.0345924i \(-0.988987\pi\)
0.469743 0.882803i \(-0.344347\pi\)
\(90\) 8.25208e6 0.0132578
\(91\) −1.99488e8 3.45523e8i −0.304951 0.528191i
\(92\) −8.47527e6 1.46796e7i −0.0123341 0.0213633i
\(93\) −3.74432e8 + 6.48536e8i −0.519039 + 0.899002i
\(94\) 5.36614e8 0.708903
\(95\) 6.89275e7 1.19386e8i 0.0868234 0.150382i
\(96\) 3.09958e8 + 5.36864e8i 0.372463 + 0.645124i
\(97\) −7.37221e8 −0.845522 −0.422761 0.906241i \(-0.638939\pi\)
−0.422761 + 0.906241i \(0.638939\pi\)
\(98\) −2.85852e8 4.95110e8i −0.313057 0.542231i
\(99\) 4.06250e7 7.03646e7i 0.0425045 0.0736200i
\(100\) −2.05277e8 + 3.55551e8i −0.205277 + 0.355551i
\(101\) −2.85593e8 + 4.94661e8i −0.273087 + 0.473000i −0.969651 0.244495i \(-0.921378\pi\)
0.696564 + 0.717495i \(0.254711\pi\)
\(102\) 1.34566e7 0.0123093
\(103\) 4.51610e8 7.82211e8i 0.395363 0.684789i −0.597784 0.801657i \(-0.703952\pi\)
0.993147 + 0.116868i \(0.0372855\pi\)
\(104\) 9.42560e8 1.63256e9i 0.790058 1.36842i
\(105\) 4.63917e7 + 8.03527e7i 0.0372467 + 0.0645132i
\(106\) 1.09664e8 + 1.89943e8i 0.0843697 + 0.146133i
\(107\) −3.61877e8 −0.266891 −0.133446 0.991056i \(-0.542604\pi\)
−0.133446 + 0.991056i \(0.542604\pi\)
\(108\) 6.26323e8 0.442987
\(109\) −1.39794e9 2.42131e9i −0.948573 1.64298i −0.748434 0.663209i \(-0.769194\pi\)
−0.200139 0.979767i \(-0.564139\pi\)
\(110\) 9.95142e7 + 1.72364e8i 0.0648064 + 0.112248i
\(111\) −7.16974e8 + 1.24184e9i −0.448281 + 0.776445i
\(112\) −1.36604e8 + 2.36606e8i −0.0820320 + 0.142084i
\(113\) −1.06574e9 −0.614888 −0.307444 0.951566i \(-0.599474\pi\)
−0.307444 + 0.951566i \(0.599474\pi\)
\(114\) −6.02412e8 + 1.04341e9i −0.334058 + 0.578606i
\(115\) 1.01980e7 1.76634e7i 0.00543717 0.00941746i
\(116\) −9.77575e7 + 1.69321e8i −0.0501290 + 0.0868260i
\(117\) −1.38207e8 2.39382e8i −0.0681858 0.118101i
\(118\) −2.94619e9 −1.39892
\(119\) −7.77981e6 1.34750e7i −0.00355638 0.00615982i
\(120\) −2.19196e8 + 3.79659e8i −0.0964977 + 0.167139i
\(121\) −3.98313e8 −0.168923
\(122\) 2.79550e8 4.84196e8i 0.114246 0.197880i
\(123\) −2.69235e8 4.66329e8i −0.106062 0.183704i
\(124\) 6.10635e8 + 1.05765e9i 0.231944 + 0.401740i
\(125\) −1.00603e9 −0.368565
\(126\) 4.16963e7 + 7.22202e7i 0.0147377 + 0.0255265i
\(127\) −2.04472e9 −0.697455 −0.348728 0.937224i \(-0.613386\pi\)
−0.348728 + 0.937224i \(0.613386\pi\)
\(128\) 1.05431e8 0.0347153
\(129\) −8.19949e8 2.88058e9i −0.260695 0.915854i
\(130\) 6.77098e8 0.207925
\(131\) 4.56974e9 1.35572 0.677860 0.735191i \(-0.262907\pi\)
0.677860 + 0.735191i \(0.262907\pi\)
\(132\) 6.44237e8 + 1.11585e9i 0.184698 + 0.319907i
\(133\) 1.39312e9 0.386060
\(134\) 1.54792e9 + 2.68108e9i 0.414742 + 0.718354i
\(135\) 3.76815e8 + 6.52662e8i 0.0976396 + 0.169117i
\(136\) 3.67588e7 6.36682e7i 0.00921375 0.0159587i
\(137\) 6.19112e9 1.50151 0.750753 0.660583i \(-0.229691\pi\)
0.750753 + 0.660583i \(0.229691\pi\)
\(138\) −8.91281e7 + 1.54374e8i −0.0209199 + 0.0362342i
\(139\) 2.42395e9 + 4.19840e9i 0.550753 + 0.953933i 0.998220 + 0.0596322i \(0.0189928\pi\)
−0.447467 + 0.894300i \(0.647674\pi\)
\(140\) 1.51314e8 0.0332891
\(141\) 2.09003e9 + 3.62003e9i 0.445314 + 0.771306i
\(142\) 1.13403e8 1.96419e8i 0.0234059 0.0405403i
\(143\) 3.33335e9 5.77354e9i 0.666606 1.15460i
\(144\) −9.46407e7 + 1.63923e8i −0.0183420 + 0.0317693i
\(145\) −2.35256e8 −0.0441961
\(146\) 1.98607e9 3.43997e9i 0.361748 0.626565i
\(147\) 2.22670e9 3.85675e9i 0.393309 0.681230i
\(148\) 1.16926e9 + 2.02522e9i 0.200324 + 0.346972i
\(149\) 1.67381e9 + 2.89912e9i 0.278206 + 0.481867i 0.970939 0.239327i \(-0.0769268\pi\)
−0.692733 + 0.721194i \(0.743594\pi\)
\(150\) 4.31750e9 0.696340
\(151\) −5.49818e9 −0.860643 −0.430321 0.902676i \(-0.641600\pi\)
−0.430321 + 0.902676i \(0.641600\pi\)
\(152\) 3.29117e9 + 5.70047e9i 0.500097 + 0.866193i
\(153\) −5.38992e6 9.33562e6i −0.000795191 0.00137731i
\(154\) −1.00566e9 + 1.74185e9i −0.144081 + 0.249555i
\(155\) −7.34753e8 + 1.27263e9i −0.102247 + 0.177096i
\(156\) 4.38341e9 0.592585
\(157\) −5.16233e9 + 8.94141e9i −0.678105 + 1.17451i 0.297446 + 0.954739i \(0.403865\pi\)
−0.975551 + 0.219774i \(0.929468\pi\)
\(158\) 1.22093e9 2.11471e9i 0.155860 0.269957i
\(159\) −8.54247e8 + 1.47960e9i −0.105998 + 0.183593i
\(160\) 6.08235e8 + 1.05349e9i 0.0733722 + 0.127084i
\(161\) 2.06114e8 0.0241764
\(162\) −2.98349e9 5.16756e9i −0.340336 0.589479i
\(163\) −2.18956e9 + 3.79243e9i −0.242948 + 0.420798i −0.961553 0.274621i \(-0.911448\pi\)
0.718605 + 0.695419i \(0.244781\pi\)
\(164\) −8.78153e8 −0.0947923
\(165\) −7.75185e8 + 1.34266e9i −0.0814193 + 0.141022i
\(166\) 2.09219e9 + 3.62378e9i 0.213852 + 0.370403i
\(167\) −5.16456e9 8.94527e9i −0.513818 0.889958i −0.999872 0.0160293i \(-0.994897\pi\)
0.486054 0.873929i \(-0.338436\pi\)
\(168\) −4.43024e9 −0.429077
\(169\) −6.03788e9 1.04579e10i −0.569369 0.986177i
\(170\) 2.64061e7 0.00242484
\(171\) 9.65164e8 0.0863214
\(172\) −4.73696e9 1.19082e9i −0.412688 0.103745i
\(173\) −1.48635e10 −1.26158 −0.630790 0.775953i \(-0.717269\pi\)
−0.630790 + 0.775953i \(0.717269\pi\)
\(174\) 2.05609e9 0.170047
\(175\) −2.49612e9 4.32341e9i −0.201184 0.348462i
\(176\) −4.56520e9 −0.358635
\(177\) −1.14750e10 1.98752e10i −0.878763 1.52206i
\(178\) 5.37676e9 + 9.31282e9i 0.401449 + 0.695330i
\(179\) 7.09968e9 1.22970e10i 0.516892 0.895284i −0.482915 0.875667i \(-0.660422\pi\)
0.999808 0.0196167i \(-0.00624458\pi\)
\(180\) 1.04832e8 0.00744330
\(181\) −8.77155e9 + 1.51928e10i −0.607467 + 1.05216i 0.384189 + 0.923254i \(0.374481\pi\)
−0.991656 + 0.128910i \(0.958852\pi\)
\(182\) 3.42126e9 + 5.92579e9i 0.231134 + 0.400337i
\(183\) 4.35522e9 0.287065
\(184\) 4.86935e8 + 8.43395e8i 0.0313177 + 0.0542439i
\(185\) −1.40693e9 + 2.43687e9i −0.0883077 + 0.152953i
\(186\) 6.42159e9 1.11225e10i 0.393400 0.681389i
\(187\) 1.29997e8 2.25162e8i 0.00777404 0.0134650i
\(188\) 6.81696e9 0.397997
\(189\) −3.80796e9 + 6.59558e9i −0.217077 + 0.375989i
\(190\) −1.18212e9 + 2.04749e9i −0.0658068 + 0.113981i
\(191\) −2.13818e8 3.70343e8i −0.0116250 0.0201351i 0.860154 0.510034i \(-0.170367\pi\)
−0.871779 + 0.489899i \(0.837034\pi\)
\(192\) −8.84282e9 1.53162e10i −0.469608 0.813384i
\(193\) −2.60865e10 −1.35334 −0.676671 0.736286i \(-0.736578\pi\)
−0.676671 + 0.736286i \(0.736578\pi\)
\(194\) 1.26435e10 0.640854
\(195\) 2.63719e9 + 4.56775e9i 0.130613 + 0.226228i
\(196\) −3.63136e9 6.28971e9i −0.175759 0.304423i
\(197\) 1.54735e10 2.68009e10i 0.731966 1.26780i −0.224076 0.974572i \(-0.571936\pi\)
0.956042 0.293230i \(-0.0947302\pi\)
\(198\) −6.96728e8 + 1.20677e9i −0.0322159 + 0.0557995i
\(199\) −1.56682e10 −0.708240 −0.354120 0.935200i \(-0.615220\pi\)
−0.354120 + 0.935200i \(0.615220\pi\)
\(200\) 1.17939e10 2.04277e10i 0.521223 0.902784i
\(201\) −1.20579e10 + 2.08848e10i −0.521060 + 0.902502i
\(202\) 4.89797e9 8.48354e9i 0.206983 0.358506i
\(203\) −1.18871e9 2.05890e9i −0.0491295 0.0850948i
\(204\) 1.70948e8 0.00691080
\(205\) −5.28324e8 9.15083e8i −0.0208933 0.0361883i
\(206\) −7.74521e9 + 1.34151e10i −0.299661 + 0.519028i
\(207\) 1.42798e8 0.00540574
\(208\) −7.76544e9 + 1.34501e10i −0.287661 + 0.498243i
\(209\) 1.16392e10 + 2.01597e10i 0.421953 + 0.730844i
\(210\) −7.95627e8 1.37807e9i −0.0282308 0.0488971i
\(211\) 4.22130e9 0.146614 0.0733069 0.997309i \(-0.476645\pi\)
0.0733069 + 0.997309i \(0.476645\pi\)
\(212\) 1.39313e9 + 2.41297e9i 0.0473675 + 0.0820429i
\(213\) 1.76674e9 0.0588119
\(214\) 6.20627e9 0.202287
\(215\) −1.60900e9 5.65260e9i −0.0513549 0.180416i
\(216\) −3.59845e10 −1.12479
\(217\) −1.48503e10 −0.454640
\(218\) 2.39750e10 + 4.15260e10i 0.718961 + 1.24528i
\(219\) 3.09417e10 0.908961
\(220\) 1.26419e9 + 2.18965e9i 0.0363841 + 0.0630191i
\(221\) −4.42253e8 7.66004e8i −0.0124711 0.0216006i
\(222\) 1.22963e10 2.12977e10i 0.339769 0.588498i
\(223\) 6.17646e10 1.67251 0.836254 0.548343i \(-0.184741\pi\)
0.836254 + 0.548343i \(0.184741\pi\)
\(224\) −6.14662e9 + 1.06463e10i −0.163125 + 0.282541i
\(225\) −1.72934e9 2.99530e9i −0.0449840 0.0779145i
\(226\) 1.82776e10 0.466048
\(227\) −1.43655e9 2.48818e9i −0.0359091 0.0621964i 0.847512 0.530776i \(-0.178099\pi\)
−0.883421 + 0.468579i \(0.844766\pi\)
\(228\) −7.65284e9 + 1.32551e10i −0.187549 + 0.324845i
\(229\) −2.92311e10 + 5.06298e10i −0.702403 + 1.21660i 0.265218 + 0.964188i \(0.414556\pi\)
−0.967621 + 0.252409i \(0.918777\pi\)
\(230\) −1.74897e8 + 3.02931e8i −0.00412105 + 0.00713786i
\(231\) −1.56675e10 −0.362031
\(232\) 5.61652e9 9.72810e9i 0.127283 0.220461i
\(233\) 1.31682e10 2.28080e10i 0.292701 0.506974i −0.681746 0.731589i \(-0.738779\pi\)
0.974448 + 0.224615i \(0.0721125\pi\)
\(234\) 2.37028e9 + 4.10544e9i 0.0516807 + 0.0895135i
\(235\) 4.10129e9 + 7.10364e9i 0.0877233 + 0.151941i
\(236\) −3.74274e10 −0.785391
\(237\) 1.90213e10 0.391628
\(238\) 1.33425e8 + 2.31100e8i 0.00269552 + 0.00466877i
\(239\) 2.29140e10 + 3.96882e10i 0.454266 + 0.786812i 0.998646 0.0520267i \(-0.0165681\pi\)
−0.544379 + 0.838839i \(0.683235\pi\)
\(240\) 1.80588e9 3.12788e9i 0.0351349 0.0608555i
\(241\) 2.86270e10 4.95835e10i 0.546638 0.946804i −0.451864 0.892087i \(-0.649241\pi\)
0.998502 0.0547176i \(-0.0174259\pi\)
\(242\) 6.83114e9 0.128034
\(243\) −5.05136e9 + 8.74920e9i −0.0929351 + 0.160968i
\(244\) 3.55131e9 6.15105e9i 0.0641408 0.111095i
\(245\) 4.36948e9 7.56816e9i 0.0774787 0.134197i
\(246\) 4.61744e9 + 7.99764e9i 0.0803884 + 0.139237i
\(247\) 7.91934e10 1.35379
\(248\) −3.50832e10 6.07658e10i −0.588933 1.02006i
\(249\) −1.62975e10 + 2.82281e10i −0.268673 + 0.465355i
\(250\) 1.72536e10 0.279350
\(251\) 2.18181e10 3.77901e10i 0.346965 0.600961i −0.638744 0.769419i \(-0.720546\pi\)
0.985709 + 0.168459i \(0.0538790\pi\)
\(252\) 5.29696e8 + 9.17460e8i 0.00827417 + 0.0143313i
\(253\) 1.72204e9 + 2.98266e9i 0.0264241 + 0.0457679i
\(254\) 3.50673e10 0.528629
\(255\) 1.02848e8 + 1.78137e8i 0.00152322 + 0.00263830i
\(256\) −6.95881e10 −1.01264
\(257\) 8.82016e10 1.26118 0.630591 0.776116i \(-0.282813\pi\)
0.630591 + 0.776116i \(0.282813\pi\)
\(258\) 1.40623e10 + 4.94026e10i 0.197591 + 0.694162i
\(259\) −2.84358e10 −0.392660
\(260\) 8.60161e9 0.116735
\(261\) −8.23547e8 1.42642e9i −0.0109851 0.0190268i
\(262\) −7.83719e10 −1.02755
\(263\) 3.55411e9 + 6.15590e9i 0.0458068 + 0.0793397i 0.888020 0.459805i \(-0.152081\pi\)
−0.842213 + 0.539145i \(0.818747\pi\)
\(264\) −3.70137e10 6.41096e10i −0.468970 0.812279i
\(265\) −1.67630e9 + 2.90344e9i −0.0208807 + 0.0361664i
\(266\) −2.38922e10 −0.292610
\(267\) −4.18833e10 + 7.25440e10i −0.504359 + 0.873576i
\(268\) 1.96643e10 + 3.40596e10i 0.232848 + 0.403304i
\(269\) 7.41987e10 0.863995 0.431997 0.901875i \(-0.357809\pi\)
0.431997 + 0.901875i \(0.357809\pi\)
\(270\) −6.46245e9 1.11933e10i −0.0740049 0.128180i
\(271\) −1.97468e10 + 3.42025e10i −0.222400 + 0.385209i −0.955536 0.294873i \(-0.904722\pi\)
0.733136 + 0.680082i \(0.238056\pi\)
\(272\) −3.02844e8 + 5.24541e8i −0.00335474 + 0.00581058i
\(273\) −2.66505e10 + 4.61601e10i −0.290385 + 0.502962i
\(274\) −1.06179e11 −1.13805
\(275\) 4.17091e10 7.22423e10i 0.439778 0.761718i
\(276\) −1.13225e9 + 1.96112e9i −0.0117450 + 0.0203429i
\(277\) −3.97960e10 6.89286e10i −0.406144 0.703462i 0.588310 0.808636i \(-0.299794\pi\)
−0.994454 + 0.105173i \(0.966460\pi\)
\(278\) −4.15712e10 7.20035e10i −0.417438 0.723023i
\(279\) −1.02884e10 −0.101655
\(280\) −8.69352e9 −0.0845248
\(281\) 4.01331e10 + 6.95126e10i 0.383994 + 0.665097i 0.991629 0.129119i \(-0.0412151\pi\)
−0.607635 + 0.794216i \(0.707882\pi\)
\(282\) −3.58444e10 6.20844e10i −0.337521 0.584603i
\(283\) 2.13088e10 3.69080e10i 0.197479 0.342044i −0.750231 0.661175i \(-0.770058\pi\)
0.947710 + 0.319132i \(0.103391\pi\)
\(284\) 1.44063e9 2.49524e9i 0.0131407 0.0227604i
\(285\) −1.84167e10 −0.165352
\(286\) −5.71677e10 + 9.90174e10i −0.505247 + 0.875114i
\(287\) 5.33906e9 9.24752e9i 0.0464511 0.0804557i
\(288\) −4.25843e9 + 7.37582e9i −0.0364740 + 0.0631749i
\(289\) 5.92767e10 + 1.02670e11i 0.499855 + 0.865773i
\(290\) 4.03468e9 0.0334980
\(291\) 4.92445e10 + 8.52939e10i 0.402568 + 0.697268i
\(292\) 2.52303e10 4.37001e10i 0.203095 0.351771i
\(293\) 5.52859e10 0.438238 0.219119 0.975698i \(-0.429682\pi\)
0.219119 + 0.975698i \(0.429682\pi\)
\(294\) −3.81883e10 + 6.61441e10i −0.298104 + 0.516331i
\(295\) −2.25175e10 3.90014e10i −0.173109 0.299834i
\(296\) −6.71783e10 1.16356e11i −0.508647 0.881002i
\(297\) −1.27259e11 −0.949038
\(298\) −2.87061e10 4.97204e10i −0.210863 0.365226i
\(299\) 1.17168e10 0.0847791
\(300\) 5.48480e10 0.390945
\(301\) 4.13402e10 4.26432e10i 0.290284 0.299433i
\(302\) 9.42950e10 0.652315
\(303\) 7.63074e10 0.520086
\(304\) −2.71148e10 4.69643e10i −0.182086 0.315382i
\(305\) 8.54631e9 0.0565496
\(306\) 9.24383e7 + 1.60108e8i 0.000602706 + 0.00104392i
\(307\) 1.85094e10 + 3.20592e10i 0.118924 + 0.205983i 0.919342 0.393460i \(-0.128722\pi\)
−0.800417 + 0.599443i \(0.795389\pi\)
\(308\) −1.27755e10 + 2.21278e10i −0.0808910 + 0.140107i
\(309\) −1.20666e11 −0.752957
\(310\) 1.26012e10 2.18259e10i 0.0774967 0.134228i
\(311\) −6.93852e10 1.20179e11i −0.420577 0.728460i 0.575419 0.817859i \(-0.304839\pi\)
−0.995996 + 0.0893985i \(0.971506\pi\)
\(312\) −2.51842e11 −1.50464
\(313\) 1.62333e9 + 2.81169e9i 0.00955998 + 0.0165584i 0.870766 0.491698i \(-0.163624\pi\)
−0.861206 + 0.508256i \(0.830290\pi\)
\(314\) 8.85350e10 1.53347e11i 0.513963 0.890209i
\(315\) −6.37362e8 + 1.10394e9i −0.00364745 + 0.00631756i
\(316\) 1.55103e10 2.68646e10i 0.0875039 0.151561i
\(317\) 1.90506e10 0.105960 0.0529801 0.998596i \(-0.483128\pi\)
0.0529801 + 0.998596i \(0.483128\pi\)
\(318\) 1.46505e10 2.53754e10i 0.0803398 0.139153i
\(319\) 1.98628e10 3.44033e10i 0.107394 0.186013i
\(320\) −1.73524e10 3.00552e10i −0.0925090 0.160230i
\(321\) 2.41725e10 + 4.18679e10i 0.127072 + 0.220094i
\(322\) −3.53490e9 −0.0183242
\(323\) 3.08846e9 0.0157881
\(324\) −3.79013e10 6.56469e10i −0.191074 0.330950i
\(325\) −1.41895e11 2.45769e11i −0.705492 1.22195i
\(326\) 3.75514e10 6.50410e10i 0.184140 0.318939i
\(327\) −1.86758e11 + 3.23475e11i −0.903264 + 1.56450i
\(328\) 5.04530e10 0.240688
\(329\) −4.14462e10 + 7.17870e10i −0.195031 + 0.337803i
\(330\) 1.32946e10 2.30269e10i 0.0617109 0.106886i
\(331\) −7.93180e10 + 1.37383e11i −0.363200 + 0.629081i −0.988486 0.151315i \(-0.951649\pi\)
0.625286 + 0.780396i \(0.284983\pi\)
\(332\) 2.65784e10 + 4.60352e10i 0.120063 + 0.207955i
\(333\) −1.97006e10 −0.0877972
\(334\) 8.85732e10 + 1.53413e11i 0.389443 + 0.674534i
\(335\) −2.36613e10 + 4.09825e10i −0.102645 + 0.177786i
\(336\) 3.64993e10 0.156227
\(337\) 9.99692e10 1.73152e11i 0.422213 0.731294i −0.573943 0.818896i \(-0.694587\pi\)
0.996156 + 0.0876012i \(0.0279201\pi\)
\(338\) 1.03551e11 + 1.79355e11i 0.431547 + 0.747462i
\(339\) 7.11883e10 + 1.23302e11i 0.292759 + 0.507073i
\(340\) 3.35454e8 0.00136137
\(341\) −1.24071e11 2.14898e11i −0.496909 0.860671i
\(342\) −1.65528e10 −0.0654264
\(343\) 1.95220e11 0.761552
\(344\) 2.72155e11 + 6.84169e10i 1.04786 + 0.263421i
\(345\) −2.72479e9 −0.0103549
\(346\) 2.54913e11 0.956201
\(347\) −1.22640e11 2.12419e11i −0.454098 0.786520i 0.544538 0.838736i \(-0.316705\pi\)
−0.998636 + 0.0522160i \(0.983372\pi\)
\(348\) 2.61198e10 0.0954692
\(349\) 4.25347e10 + 7.36723e10i 0.153472 + 0.265821i 0.932502 0.361166i \(-0.117621\pi\)
−0.779030 + 0.626987i \(0.784288\pi\)
\(350\) 4.28090e10 + 7.41473e10i 0.152486 + 0.264113i
\(351\) −2.16468e11 + 3.74934e11i −0.761223 + 1.31848i
\(352\) −2.05415e11 −0.713164
\(353\) 1.61601e11 2.79901e11i 0.553934 0.959442i −0.444051 0.896001i \(-0.646459\pi\)
0.997986 0.0634410i \(-0.0202075\pi\)
\(354\) 1.96798e11 + 3.40864e11i 0.666049 + 1.15363i
\(355\) 3.46690e9 0.0115855
\(356\) 6.83045e10 + 1.18307e11i 0.225385 + 0.390378i
\(357\) −1.03934e9 + 1.80019e9i −0.00338651 + 0.00586560i
\(358\) −1.21761e11 + 2.10896e11i −0.391773 + 0.678571i
\(359\) −1.00702e10 + 1.74422e10i −0.0319974 + 0.0554211i −0.881581 0.472033i \(-0.843520\pi\)
0.849583 + 0.527455i \(0.176853\pi\)
\(360\) −6.02295e9 −0.0188994
\(361\) 2.30828e10 3.99806e10i 0.0715330 0.123899i
\(362\) 1.50434e11 2.60559e11i 0.460423 0.797477i
\(363\) 2.66062e10 + 4.60834e10i 0.0804274 + 0.139304i
\(364\) 4.34625e10 + 7.52792e10i 0.129765 + 0.224760i
\(365\) 6.07172e10 0.179058
\(366\) −7.46930e10 −0.217578
\(367\) 1.65189e11 + 2.86116e11i 0.475318 + 0.823276i 0.999600 0.0282691i \(-0.00899955\pi\)
−0.524282 + 0.851545i \(0.675666\pi\)
\(368\) −4.01169e9 6.94845e9i −0.0114028 0.0197503i
\(369\) 3.69895e9 6.40677e9i 0.0103863 0.0179895i
\(370\) 2.41291e10 4.17928e10i 0.0669319 0.115929i
\(371\) −3.38802e10 −0.0928461
\(372\) 8.15777e10 1.41297e11i 0.220866 0.382550i
\(373\) 1.10520e11 1.91427e11i 0.295633 0.512051i −0.679499 0.733676i \(-0.737803\pi\)
0.975132 + 0.221626i \(0.0711363\pi\)
\(374\) −2.22948e9 + 3.86157e9i −0.00589225 + 0.0102057i
\(375\) 6.71999e10 + 1.16394e11i 0.175480 + 0.303941i
\(376\) −3.91659e11 −1.01056
\(377\) −6.75735e10 1.17041e11i −0.172282 0.298401i
\(378\) 6.53073e10 1.13116e11i 0.164531 0.284977i
\(379\) 2.20342e11 0.548556 0.274278 0.961650i \(-0.411561\pi\)
0.274278 + 0.961650i \(0.411561\pi\)
\(380\) −1.50173e10 + 2.60107e10i −0.0369458 + 0.0639919i
\(381\) 1.36582e11 + 2.36567e11i 0.332071 + 0.575163i
\(382\) 3.66702e9 + 6.35146e9i 0.00881106 + 0.0152612i
\(383\) 7.93448e11 1.88419 0.942094 0.335349i \(-0.108854\pi\)
0.942094 + 0.335349i \(0.108854\pi\)
\(384\) −7.04248e9 1.21979e10i −0.0165286 0.0286283i
\(385\) −3.07445e10 −0.0713173
\(386\) 4.47389e11 1.02575
\(387\) 2.86409e10 2.95436e10i 0.0649063 0.0669520i
\(388\) 1.60619e11 0.359793
\(389\) 3.75960e10 0.0832470 0.0416235 0.999133i \(-0.486747\pi\)
0.0416235 + 0.999133i \(0.486747\pi\)
\(390\) −4.52284e10 7.83378e10i −0.0989966 0.171467i
\(391\) 4.56943e8 0.000988705
\(392\) 2.08635e11 + 3.61366e11i 0.446272 + 0.772966i
\(393\) −3.05246e11 5.28702e11i −0.645482 1.11801i
\(394\) −2.65374e11 + 4.59641e11i −0.554786 + 0.960917i
\(395\) 3.73258e10 0.0771476
\(396\) −8.85099e9 + 1.53304e10i −0.0180869 + 0.0313274i
\(397\) −3.30256e11 5.72019e11i −0.667257 1.15572i −0.978668 0.205447i \(-0.934135\pi\)
0.311412 0.950275i \(-0.399198\pi\)
\(398\) 2.68713e11 0.536803
\(399\) −9.30566e10 1.61179e11i −0.183810 0.318368i
\(400\) −9.71662e10 + 1.68297e11i −0.189778 + 0.328705i
\(401\) −3.10594e11 + 5.37964e11i −0.599850 + 1.03897i 0.392992 + 0.919542i \(0.371440\pi\)
−0.992843 + 0.119430i \(0.961893\pi\)
\(402\) 2.06795e11 3.58179e11i 0.394932 0.684042i
\(403\) −8.44185e11 −1.59428
\(404\) 6.22222e10 1.07772e11i 0.116206 0.201275i
\(405\) 4.56051e10 7.89904e10i 0.0842299 0.145890i
\(406\) 2.03866e10 + 3.53106e10i 0.0372372 + 0.0644967i
\(407\) −2.37575e11 4.11492e11i −0.429167 0.743339i
\(408\) −9.82158e9 −0.0175473
\(409\) −9.42911e11 −1.66616 −0.833078 0.553156i \(-0.813423\pi\)
−0.833078 + 0.553156i \(0.813423\pi\)
\(410\) 9.06086e9 + 1.56939e10i 0.0158359 + 0.0274285i
\(411\) −4.13551e11 7.16292e11i −0.714893 1.23823i
\(412\) −9.83924e10 + 1.70421e11i −0.168238 + 0.291397i
\(413\) 2.27554e11 3.94135e11i 0.384866 0.666607i
\(414\) −2.44901e9 −0.00409722
\(415\) −3.19808e10 + 5.53924e10i −0.0529264 + 0.0916713i
\(416\) −3.49412e11 + 6.05199e11i −0.572029 + 0.990783i
\(417\) 3.23827e11 5.60885e11i 0.524446 0.908368i
\(418\) −1.99614e11 3.45742e11i −0.319815 0.553936i
\(419\) −3.88540e11 −0.615847 −0.307924 0.951411i \(-0.599634\pi\)
−0.307924 + 0.951411i \(0.599634\pi\)
\(420\) −1.01074e10 1.75065e10i −0.0158495 0.0274522i
\(421\) −5.34290e11 + 9.25418e11i −0.828911 + 1.43572i 0.0699829 + 0.997548i \(0.477706\pi\)
−0.898894 + 0.438167i \(0.855628\pi\)
\(422\) −7.23962e10 −0.111124
\(423\) −2.87143e10 + 4.97347e10i −0.0436081 + 0.0755314i
\(424\) −8.00403e10 1.38634e11i −0.120271 0.208316i
\(425\) −5.53375e9 9.58474e9i −0.00822753 0.0142505i
\(426\) −3.03000e10 −0.0445759
\(427\) 4.31830e10 + 7.47952e10i 0.0628619 + 0.108880i
\(428\) 7.88423e10 0.113570
\(429\) −8.90638e11 −1.26953
\(430\) 2.75946e10 + 9.69433e10i 0.0389239 + 0.136744i
\(431\) −8.57546e11 −1.19704 −0.598521 0.801107i \(-0.704245\pi\)
−0.598521 + 0.801107i \(0.704245\pi\)
\(432\) 2.96464e11 0.409539
\(433\) 3.14271e11 + 5.44334e11i 0.429644 + 0.744166i 0.996842 0.0794163i \(-0.0253056\pi\)
−0.567197 + 0.823582i \(0.691972\pi\)
\(434\) 2.54686e11 0.344589
\(435\) 1.57145e10 + 2.72183e10i 0.0210425 + 0.0364467i
\(436\) 3.04571e11 + 5.27532e11i 0.403644 + 0.699133i
\(437\) −2.04560e10 + 3.54308e10i −0.0268321 + 0.0464745i
\(438\) −5.30656e11 −0.688937
\(439\) 6.01819e11 1.04238e12i 0.773349 1.33948i −0.162368 0.986730i \(-0.551913\pi\)
0.935718 0.352750i \(-0.114753\pi\)
\(440\) −7.26324e10 1.25803e11i −0.0923833 0.160013i
\(441\) 6.11840e10 0.0770308
\(442\) 7.58473e9 + 1.31371e10i 0.00945235 + 0.0163719i
\(443\) 7.66214e10 1.32712e11i 0.0945221 0.163717i −0.814887 0.579620i \(-0.803201\pi\)
0.909409 + 0.415903i \(0.136534\pi\)
\(444\) 1.56207e11 2.70559e11i 0.190756 0.330399i
\(445\) −8.21881e10 + 1.42354e11i −0.0993548 + 0.172088i
\(446\) −1.05928e12 −1.26766
\(447\) 2.23612e11 3.87307e11i 0.264917 0.458851i
\(448\) 1.75357e11 3.03728e11i 0.205671 0.356232i
\(449\) −4.17040e11 7.22335e11i −0.484250 0.838745i 0.515587 0.856838i \(-0.327574\pi\)
−0.999836 + 0.0180922i \(0.994241\pi\)
\(450\) 2.96585e10 + 5.13700e10i 0.0340951 + 0.0590545i
\(451\) 1.78427e11 0.203079
\(452\) 2.32192e11 0.261652
\(453\) 3.67264e11 + 6.36121e11i 0.409767 + 0.709737i
\(454\) 2.46371e10 + 4.26728e10i 0.0272169 + 0.0471411i
\(455\) −5.22967e10 + 9.05805e10i −0.0572036 + 0.0990795i
\(456\) 4.39683e11 7.61553e11i 0.476209 0.824819i
\(457\) −2.74258e11 −0.294128 −0.147064 0.989127i \(-0.546982\pi\)
−0.147064 + 0.989127i \(0.546982\pi\)
\(458\) 5.01320e11 8.68312e11i 0.532379 0.922107i
\(459\) −8.44203e9 + 1.46220e10i −0.00887748 + 0.0153762i
\(460\) −2.22183e9 + 3.84833e9i −0.00231367 + 0.00400739i
\(461\) −3.47368e11 6.01660e11i −0.358209 0.620436i 0.629453 0.777039i \(-0.283279\pi\)
−0.987662 + 0.156603i \(0.949946\pi\)
\(462\) 2.68701e11 0.274398
\(463\) 6.24160e11 + 1.08108e12i 0.631221 + 1.09331i 0.987302 + 0.158852i \(0.0507792\pi\)
−0.356081 + 0.934455i \(0.615887\pi\)
\(464\) −4.62726e10 + 8.01465e10i −0.0463440 + 0.0802701i
\(465\) 1.96318e11 0.194725
\(466\) −2.25837e11 + 3.91162e11i −0.221850 + 0.384255i
\(467\) 9.71037e11 + 1.68189e12i 0.944735 + 1.63633i 0.756281 + 0.654247i \(0.227014\pi\)
0.188454 + 0.982082i \(0.439652\pi\)
\(468\) 3.01112e10 + 5.21541e10i 0.0290149 + 0.0502554i
\(469\) −4.78225e11 −0.456410
\(470\) −7.03380e10 1.21829e11i −0.0664889 0.115162i
\(471\) 1.37932e12 1.29143
\(472\) 2.15034e12 1.99420
\(473\) 9.62474e11 + 2.41956e11i 0.884125 + 0.222260i
\(474\) −3.26220e11 −0.296830
\(475\) 9.90919e11 0.893134
\(476\) 1.69499e9 + 2.93581e9i 0.00151334 + 0.00262118i
\(477\) −2.34725e10 −0.0207600
\(478\) −3.92980e11 6.80662e11i −0.344306 0.596356i
\(479\) 8.32367e11 + 1.44170e12i 0.722445 + 1.25131i 0.960017 + 0.279942i \(0.0903153\pi\)
−0.237571 + 0.971370i \(0.576351\pi\)
\(480\) 8.12571e10 1.40741e11i 0.0698676 0.121014i
\(481\) −1.61647e12 −1.37694
\(482\) −4.90960e11 + 8.50367e11i −0.414318 + 0.717620i
\(483\) −1.37679e10 2.38467e10i −0.0115108 0.0199373i
\(484\) 8.67805e10 0.0718816
\(485\) 9.66330e10 + 1.67373e11i 0.0793027 + 0.137356i
\(486\) 8.66318e10 1.50051e11i 0.0704392 0.122004i
\(487\) 4.63400e11 8.02633e11i 0.373315 0.646601i −0.616758 0.787153i \(-0.711554\pi\)
0.990073 + 0.140552i \(0.0448876\pi\)
\(488\) −2.04036e11 + 3.53400e11i −0.162861 + 0.282083i
\(489\) 5.85028e11 0.462687
\(490\) −7.49375e10 + 1.29796e11i −0.0587241 + 0.101713i
\(491\) −1.01227e12 + 1.75331e12i −0.786015 + 1.36142i 0.142376 + 0.989813i \(0.454526\pi\)
−0.928391 + 0.371605i \(0.878808\pi\)
\(492\) 5.86584e10 + 1.01599e11i 0.0451322 + 0.0781713i
\(493\) −2.63529e9 4.56446e9i −0.00200917 0.00347999i
\(494\) −1.35818e12 −1.02609
\(495\) −2.13001e10 −0.0159462
\(496\) 2.89038e11 + 5.00629e11i 0.214431 + 0.371406i
\(497\) 1.75177e10 + 3.03415e10i 0.0128787 + 0.0223066i
\(498\) 2.79506e11 4.84118e11i 0.203638 0.352711i
\(499\) 5.85490e11 1.01410e12i 0.422734 0.732196i −0.573472 0.819225i \(-0.694404\pi\)
0.996206 + 0.0870288i \(0.0277372\pi\)
\(500\) 2.19183e11 0.156835
\(501\) −6.89958e11 + 1.19504e12i −0.489275 + 0.847449i
\(502\) −3.74185e11 + 6.48108e11i −0.262978 + 0.455492i
\(503\) 1.34777e12 2.33441e12i 0.938772 1.62600i 0.171005 0.985270i \(-0.445298\pi\)
0.767766 0.640730i \(-0.221368\pi\)
\(504\) −3.04329e10 5.27114e10i −0.0210090 0.0363887i
\(505\) 1.49739e11 0.102453
\(506\) −2.95333e10 5.11532e10i −0.0200279 0.0346893i
\(507\) −8.06629e11 + 1.39712e12i −0.542173 + 0.939072i
\(508\) 4.45483e11 0.296787
\(509\) 6.22595e11 1.07837e12i 0.411127 0.712093i −0.583886 0.811835i \(-0.698469\pi\)
0.995013 + 0.0997427i \(0.0318020\pi\)
\(510\) −1.76386e9 3.05509e9i −0.00115451 0.00199967i
\(511\) 3.06794e11 + 5.31382e11i 0.199046 + 0.344757i
\(512\) 1.13947e12 0.732804
\(513\) −7.55849e11 1.30917e12i −0.481844 0.834579i
\(514\) −1.51268e12 −0.955899
\(515\) −2.36783e11 −0.148327
\(516\) 1.78643e11 + 6.27593e11i 0.110933 + 0.389722i
\(517\) −1.38510e12 −0.852654
\(518\) 4.87681e11 0.297613
\(519\) 9.92846e11 + 1.71966e12i 0.600660 + 1.04037i
\(520\) −4.94193e11 −0.296403
\(521\) −3.95241e11 6.84577e11i −0.235013 0.407054i 0.724263 0.689523i \(-0.242180\pi\)
−0.959276 + 0.282469i \(0.908847\pi\)
\(522\) 1.41240e10 + 2.44635e10i 0.00832608 + 0.0144212i
\(523\) 2.29299e11 3.97157e11i 0.134012 0.232116i −0.791208 0.611548i \(-0.790547\pi\)
0.925220 + 0.379432i \(0.123881\pi\)
\(524\) −9.95610e11 −0.576897
\(525\) −3.33469e11 + 5.77585e11i −0.191575 + 0.331817i
\(526\) −6.09537e10 1.05575e11i −0.0347188 0.0601347i
\(527\) −3.29223e10 −0.0185927
\(528\) 3.04943e11 + 5.28177e11i 0.170752 + 0.295752i
\(529\) 8.97550e11 1.55460e12i 0.498320 0.863115i
\(530\) 2.87489e10 4.97945e10i 0.0158263 0.0274120i
\(531\) 1.57651e11 2.73060e11i 0.0860543 0.149050i
\(532\) −3.03519e11 −0.164279
\(533\) 3.03505e11 5.25686e11i 0.162890 0.282133i
\(534\) 7.18307e11 1.24414e12i 0.382274 0.662118i
\(535\) 4.74339e10 + 8.21580e10i 0.0250321 + 0.0433568i
\(536\) −1.12978e12 1.95684e12i −0.591226 1.02403i
\(537\) −1.89696e12 −0.984406
\(538\) −1.27252e12 −0.654856
\(539\) 7.37835e11 + 1.27797e12i 0.376539 + 0.652185i
\(540\) −8.20968e10 1.42196e11i −0.0415484 0.0719639i
\(541\) −3.46050e11 + 5.99375e11i −0.173680 + 0.300823i −0.939704 0.341989i \(-0.888899\pi\)
0.766023 + 0.642813i \(0.222233\pi\)
\(542\) 3.38662e11 5.86580e11i 0.168566 0.291965i
\(543\) 2.34367e12 1.15690
\(544\) −1.36267e10 + 2.36021e10i −0.00667107 + 0.0115546i
\(545\) −3.66478e11 + 6.34759e11i −0.177936 + 0.308194i
\(546\) 4.57062e11 7.91655e11i 0.220094 0.381214i
\(547\) 8.95956e11 + 1.55184e12i 0.427901 + 0.741147i 0.996686 0.0813394i \(-0.0259198\pi\)
−0.568785 + 0.822486i \(0.692586\pi\)
\(548\) −1.34886e12 −0.638933
\(549\) 2.99176e10 + 5.18188e10i 0.0140557 + 0.0243451i
\(550\) −7.15320e11 + 1.23897e12i −0.333325 + 0.577336i
\(551\) 4.71897e11 0.218105
\(552\) 6.50519e10 1.12673e11i 0.0298218 0.0516529i
\(553\) 1.88601e11 + 3.26666e11i 0.0857592 + 0.148539i
\(554\) 6.82509e11 + 1.18214e12i 0.307833 + 0.533182i
\(555\) 3.75916e11 0.168179
\(556\) −5.28107e11 9.14708e11i −0.234361 0.405925i
\(557\) −4.23868e12 −1.86587 −0.932937 0.360040i \(-0.882763\pi\)
−0.932937 + 0.360040i \(0.882763\pi\)
\(558\) 1.76449e11 0.0770487
\(559\) 2.35003e12 2.42410e12i 1.01794 1.05002i
\(560\) 7.16230e10 0.0307756
\(561\) −3.47339e10 −0.0148054
\(562\) −6.88291e11 1.19215e12i −0.291044 0.504103i
\(563\) 2.50032e12 1.04884 0.524418 0.851461i \(-0.324283\pi\)
0.524418 + 0.851461i \(0.324283\pi\)
\(564\) −4.55355e11 7.88698e11i −0.189493 0.328212i
\(565\) 1.39694e11 + 2.41957e11i 0.0576712 + 0.0998895i
\(566\) −3.65451e11 + 6.32980e11i −0.149677 + 0.259248i
\(567\) 9.21740e11 0.374528
\(568\) −8.27693e10 + 1.43361e11i −0.0333658 + 0.0577913i
\(569\) −1.31089e12 2.27052e12i −0.524276 0.908072i −0.999601 0.0282619i \(-0.991003\pi\)
0.475325 0.879810i \(-0.342331\pi\)
\(570\) 3.15851e11 0.125327
\(571\) −6.25499e11 1.08340e12i −0.246243 0.426505i 0.716237 0.697857i \(-0.245863\pi\)
−0.962480 + 0.271351i \(0.912529\pi\)
\(572\) −7.26239e11 + 1.25788e12i −0.283660 + 0.491313i
\(573\) −2.85649e10 + 4.94759e10i −0.0110697 + 0.0191734i
\(574\) −9.15660e10 + 1.58597e11i −0.0352071 + 0.0609805i
\(575\) 1.46608e11 0.0559311
\(576\) 1.21489e11 2.10425e11i 0.0459871 0.0796520i
\(577\) 7.02170e11 1.21619e12i 0.263725 0.456785i −0.703504 0.710692i \(-0.748382\pi\)
0.967229 + 0.253906i \(0.0817155\pi\)
\(578\) −1.01661e12 1.76082e12i −0.378859 0.656204i
\(579\) 1.74251e12 + 3.01811e12i 0.644350 + 1.11605i
\(580\) 5.12552e10 0.0188067
\(581\) −6.46374e11 −0.235338
\(582\) −8.44553e11 1.46281e12i −0.305122 0.528487i
\(583\) −2.83062e11 4.90277e11i −0.101478 0.175765i
\(584\) −1.44957e12 + 2.51073e12i −0.515681 + 0.893186i
\(585\) −3.62316e10 + 6.27550e10i −0.0127905 + 0.0221537i
\(586\) −9.48165e11 −0.332158
\(587\) 1.28469e11 2.22514e11i 0.0446608 0.0773547i −0.842831 0.538178i \(-0.819113\pi\)
0.887492 + 0.460824i \(0.152446\pi\)
\(588\) −4.85131e11 + 8.40272e11i −0.167364 + 0.289883i
\(589\) 1.47383e12 2.55275e12i 0.504580 0.873957i
\(590\) 3.86179e11 + 6.68883e11i 0.131206 + 0.227256i
\(591\) −4.13436e12 −1.39401
\(592\) 5.53459e11 + 9.58620e11i 0.185199 + 0.320774i
\(593\) −1.86766e12 + 3.23488e12i −0.620228 + 1.07427i 0.369215 + 0.929344i \(0.379627\pi\)
−0.989443 + 0.144923i \(0.953707\pi\)
\(594\) 2.18251e12 0.719313
\(595\) −2.03952e9 + 3.53254e9i −0.000667115 + 0.00115548i
\(596\) −3.64672e11 6.31631e11i −0.118384 0.205048i
\(597\) 1.04660e12 + 1.81276e12i 0.337205 + 0.584057i
\(598\) −2.00946e11 −0.0642574
\(599\) −2.13018e12 3.68957e12i −0.676075 1.17100i −0.976153 0.217082i \(-0.930346\pi\)
0.300079 0.953915i \(-0.402987\pi\)
\(600\) −3.15121e12 −0.992652
\(601\) 1.44171e12 0.450757 0.225379 0.974271i \(-0.427638\pi\)
0.225379 + 0.974271i \(0.427638\pi\)
\(602\) −7.08993e11 + 7.31339e11i −0.220018 + 0.226952i
\(603\) −3.31319e11 −0.102051
\(604\) 1.19789e12 0.366228
\(605\) 5.22098e10 + 9.04300e10i 0.0158436 + 0.0274418i
\(606\) −1.30869e12 −0.394193
\(607\) 1.41845e12 + 2.45683e12i 0.424096 + 0.734557i 0.996336 0.0855302i \(-0.0272584\pi\)
−0.572239 + 0.820087i \(0.693925\pi\)
\(608\) −1.22005e12 2.11319e12i −0.362087 0.627153i
\(609\) −1.58805e11 + 2.75058e11i −0.0467828 + 0.0810302i
\(610\) −1.46571e11 −0.0428612
\(611\) −2.35606e12 + 4.08082e12i −0.683913 + 1.18457i
\(612\) 1.17430e9 + 2.03396e9i 0.000338376 + 0.000586084i
\(613\) −1.20656e12 −0.345124 −0.172562 0.984999i \(-0.555205\pi\)
−0.172562 + 0.984999i \(0.555205\pi\)
\(614\) −3.17440e11 5.49822e11i −0.0901372 0.156122i
\(615\) −7.05813e10 + 1.22250e11i −0.0198954 + 0.0344598i
\(616\) 7.33999e11 1.27132e12i 0.205391 0.355748i
\(617\) −1.96698e12 + 3.40692e12i −0.546409 + 0.946408i 0.452108 + 0.891963i \(0.350672\pi\)
−0.998517 + 0.0544447i \(0.982661\pi\)
\(618\) 2.06944e12 0.570695
\(619\) 3.37783e12 5.85057e12i 0.924762 1.60173i 0.132819 0.991140i \(-0.457597\pi\)
0.791943 0.610594i \(-0.209069\pi\)
\(620\) 1.60081e11 2.77268e11i 0.0435088 0.0753594i
\(621\) −1.11829e11 1.93694e11i −0.0301747 0.0522642i
\(622\) 1.18997e12 + 2.06109e12i 0.318772 + 0.552129i
\(623\) −1.66113e12 −0.441781
\(624\) 2.07484e12 0.547842
\(625\) −1.70837e12 2.95898e12i −0.447838 0.775678i
\(626\) −2.78404e10 4.82210e10i −0.00724589 0.0125502i
\(627\) 1.55493e12 2.69323e12i 0.401798 0.695935i
\(628\) 1.12472e12 1.94807e12i 0.288553 0.499788i
\(629\) −6.30406e10 −0.0160580
\(630\) 1.09309e10 1.89329e10i 0.00276454 0.00478833i
\(631\) −4.16544e11 + 7.21476e11i −0.104599 + 0.181171i −0.913574 0.406672i \(-0.866689\pi\)
0.808975 + 0.587843i \(0.200023\pi\)
\(632\) −8.91121e11 + 1.54347e12i −0.222182 + 0.384831i
\(633\) −2.81972e11 4.88390e11i −0.0698054 0.120907i
\(634\) −3.26722e11 −0.0803114
\(635\) 2.68016e11 + 4.64218e11i 0.0654153 + 0.113303i
\(636\) 1.86115e11 3.22361e11i 0.0451050 0.0781241i
\(637\) 5.02025e12 1.20809
\(638\) −3.40651e11 + 5.90024e11i −0.0813984 + 0.140986i
\(639\) 1.21364e10 + 2.10209e10i 0.00287963 + 0.00498766i
\(640\) −1.38196e10 2.39362e10i −0.00325600 0.00563956i
\(641\) −2.60980e12 −0.610586 −0.305293 0.952258i \(-0.598754\pi\)
−0.305293 + 0.952258i \(0.598754\pi\)
\(642\) −4.14563e11 7.18044e11i −0.0963125 0.166818i
\(643\) 5.64161e12 1.30153 0.650765 0.759280i \(-0.274448\pi\)
0.650765 + 0.759280i \(0.274448\pi\)
\(644\) −4.49062e10 −0.0102877
\(645\) −5.46509e11 + 5.63734e11i −0.124331 + 0.128250i
\(646\) −5.29677e10 −0.0119664
\(647\) 6.66785e12 1.49595 0.747974 0.663728i \(-0.231027\pi\)
0.747974 + 0.663728i \(0.231027\pi\)
\(648\) 2.17756e12 + 3.77165e12i 0.485158 + 0.840319i
\(649\) 7.60466e12 1.68259
\(650\) 2.43353e12 + 4.21499e12i 0.534720 + 0.926162i
\(651\) 9.91963e11 + 1.71813e12i 0.216462 + 0.374923i
\(652\) 4.77041e11 8.26259e11i 0.103381 0.179061i
\(653\) −2.13461e12 −0.459419 −0.229710 0.973259i \(-0.573778\pi\)
−0.229710 + 0.973259i \(0.573778\pi\)
\(654\) 3.20294e12 5.54766e12i 0.684619 1.18580i
\(655\) −5.98989e11 1.03748e12i −0.127155 0.220239i
\(656\) −4.15666e11 −0.0876349
\(657\) 2.12550e11 + 3.68147e11i 0.0445057 + 0.0770862i
\(658\) 7.10811e11 1.23116e12i 0.147822 0.256034i
\(659\) −4.52365e12 + 7.83520e12i −0.934340 + 1.61832i −0.158534 + 0.987354i \(0.550677\pi\)
−0.775806 + 0.630971i \(0.782657\pi\)
\(660\) 1.68890e11 2.92526e11i 0.0346462 0.0600090i
\(661\) 1.13483e11 0.0231220 0.0115610 0.999933i \(-0.496320\pi\)
0.0115610 + 0.999933i \(0.496320\pi\)
\(662\) 1.36032e12 2.35614e12i 0.275284 0.476805i
\(663\) −5.90827e10 + 1.02334e11i −0.0118754 + 0.0205688i
\(664\) −1.52703e12 2.64489e12i −0.304853 0.528020i
\(665\) −1.82606e11 3.16283e11i −0.0362091 0.0627160i
\(666\) 3.37870e11 0.0665450
\(667\) 6.98180e10 0.0136584
\(668\) 1.12520e12 + 1.94891e12i 0.218644 + 0.378702i
\(669\) −4.12572e12 7.14595e12i −0.796310 1.37925i
\(670\) 4.05796e11 7.02859e11i 0.0777984 0.134751i
\(671\) −7.21570e11 + 1.24980e12i −0.137413 + 0.238006i
\(672\) 1.64231e12 0.310666
\(673\) −3.56536e12 + 6.17539e12i −0.669940 + 1.16037i 0.307980 + 0.951393i \(0.400347\pi\)
−0.977920 + 0.208978i \(0.932986\pi\)
\(674\) −1.71449e12 + 2.96959e12i −0.320012 + 0.554277i
\(675\) −2.70859e12 + 4.69141e12i −0.502199 + 0.869835i
\(676\) 1.31547e12 + 2.27847e12i 0.242283 + 0.419646i
\(677\) −1.27864e12 −0.233937 −0.116969 0.993136i \(-0.537318\pi\)
−0.116969 + 0.993136i \(0.537318\pi\)
\(678\) −1.22090e12 2.11465e12i −0.221894 0.384331i
\(679\) −9.76540e11 + 1.69142e12i −0.176310 + 0.305377i
\(680\) −1.92730e10 −0.00345668
\(681\) −1.91916e11 + 3.32408e11i −0.0341939 + 0.0592256i
\(682\) 2.12785e12 + 3.68554e12i 0.376627 + 0.652336i
\(683\) −1.70607e12 2.95499e12i −0.299987 0.519593i 0.676145 0.736768i \(-0.263649\pi\)
−0.976133 + 0.217175i \(0.930316\pi\)
\(684\) −2.10281e11 −0.0367322
\(685\) −8.11517e11 1.40559e12i −0.140828 0.243922i
\(686\) −3.34806e12 −0.577211
\(687\) 7.81026e12 1.33770
\(688\) −2.24219e12 5.63664e11i −0.381527 0.0959119i
\(689\) −1.92596e12 −0.325583
\(690\) 4.67307e10 0.00784841
\(691\) 2.24121e12 + 3.88189e12i 0.373965 + 0.647727i 0.990172 0.139858i \(-0.0446646\pi\)
−0.616206 + 0.787585i \(0.711331\pi\)
\(692\) 3.23833e12 0.536838
\(693\) −1.07626e11 1.86413e11i −0.0177262 0.0307027i
\(694\) 2.10330e12 + 3.64302e12i 0.344178 + 0.596134i
\(695\) 6.35450e11 1.10063e12i 0.103312 0.178941i
\(696\) −1.50068e12 −0.242407
\(697\) 1.18364e10 2.05012e10i 0.00189964 0.00329027i
\(698\) −7.29479e11 1.26350e12i −0.116322 0.201476i
\(699\) −3.51841e12 −0.557441
\(700\) 5.43831e11 + 9.41942e11i 0.0856096 + 0.148280i
\(701\) −2.82658e12 + 4.89577e12i −0.442109 + 0.765755i −0.997846 0.0656029i \(-0.979103\pi\)
0.555737 + 0.831358i \(0.312436\pi\)
\(702\) 3.71247e12 6.43019e12i 0.576961 0.999326i
\(703\) 2.82214e12 4.88809e12i 0.435792 0.754815i
\(704\) 5.86029e12 0.899170
\(705\) 5.47911e11 9.49010e11i 0.0835332 0.144684i
\(706\) −2.77149e12 + 4.80037e12i −0.419849 + 0.727199i
\(707\) 7.56605e11 + 1.31048e12i 0.113889 + 0.197262i
\(708\) 2.50006e12 + 4.33022e12i 0.373938 + 0.647680i
\(709\) 3.28323e12 0.487971 0.243985 0.969779i \(-0.421545\pi\)
0.243985 + 0.969779i \(0.421545\pi\)
\(710\) −5.94581e10 −0.00878110
\(711\) 1.30664e11 + 2.26317e11i 0.0191754 + 0.0332127i
\(712\) −3.92434e12 6.79715e12i −0.572277 0.991213i
\(713\) 2.18056e11 3.77685e11i 0.0315985 0.0547302i
\(714\) 1.78249e10 3.08737e10i 0.00256677 0.00444577i
\(715\) −1.74771e12 −0.250088
\(716\) −1.54681e12 + 2.67915e12i −0.219952 + 0.380968i
\(717\) 3.06119e12 5.30214e12i 0.432568 0.749230i
\(718\) 1.72707e11 2.99137e11i 0.0242521 0.0420058i
\(719\) 1.71825e12 + 2.97609e12i 0.239776 + 0.415304i 0.960650 0.277762i \(-0.0895927\pi\)
−0.720874 + 0.693066i \(0.756259\pi\)
\(720\) 4.96211e10 0.00688129
\(721\) −1.19643e12 2.07227e12i −0.164884 0.285587i
\(722\) −3.95875e11 + 6.85676e11i −0.0542177 + 0.0939077i
\(723\) −7.64885e12 −1.04105
\(724\) 1.91106e12 3.31006e12i 0.258494 0.447725i
\(725\) −8.45523e11 1.46449e12i −0.113659 0.196863i
\(726\) −4.56303e11 7.90339e11i −0.0609591 0.105584i
\(727\) 4.81781e12 0.639654 0.319827 0.947476i \(-0.396375\pi\)
0.319827 + 0.947476i \(0.396375\pi\)
\(728\) −2.49707e12 4.32506e12i −0.329489 0.570691i
\(729\) 8.19788e12 1.07505
\(730\) −1.04131e12 −0.135715
\(731\) 9.16488e10 9.45374e10i 0.0118713 0.0122455i
\(732\) −9.48874e11 −0.122154
\(733\) −1.04789e13 −1.34075 −0.670373 0.742024i \(-0.733866\pi\)
−0.670373 + 0.742024i \(0.733866\pi\)
\(734\) −2.83303e12 4.90695e12i −0.360262 0.623993i
\(735\) −1.16748e12 −0.147556
\(736\) −1.80509e11 3.12651e11i −0.0226751 0.0392744i
\(737\) −3.99547e12 6.92036e12i −0.498843 0.864022i
\(738\) −6.34377e10 + 1.09877e11i −0.00787216 + 0.0136350i
\(739\) −1.07655e13 −1.32781 −0.663904 0.747818i \(-0.731102\pi\)
−0.663904 + 0.747818i \(0.731102\pi\)
\(740\) 3.06528e11 5.30921e11i 0.0375774 0.0650860i
\(741\) −5.28991e12 9.16240e12i −0.644565 1.11642i
\(742\) 5.81053e11 0.0703717
\(743\) −8.09740e11 1.40251e12i −0.0974756 0.168833i 0.813164 0.582035i \(-0.197743\pi\)
−0.910639 + 0.413203i \(0.864410\pi\)
\(744\) −4.68693e12 + 8.11800e12i −0.560803 + 0.971339i
\(745\) 4.38796e11 7.60017e11i 0.0521867 0.0903899i
\(746\) −1.89545e12 + 3.28301e12i −0.224072 + 0.388103i
\(747\) −4.47814e11 −0.0526205
\(748\) −2.83225e10 + 4.90561e10i −0.00330807 + 0.00572975i
\(749\) −4.79351e11 + 8.30260e11i −0.0556526 + 0.0963931i
\(750\) −1.15249e12 1.99618e12i −0.133003 0.230368i
\(751\) 6.22184e12 + 1.07765e13i 0.713738 + 1.23623i 0.963444 + 0.267909i \(0.0863326\pi\)
−0.249706 + 0.968322i \(0.580334\pi\)
\(752\) 3.22674e12 0.367946
\(753\) −5.82957e12 −0.660784
\(754\) 1.15890e12 + 2.00727e12i 0.130579 + 0.226170i
\(755\) 7.20688e11 + 1.24827e12i 0.0807209 + 0.139813i
\(756\) 8.29642e11 1.43698e12i 0.0923725 0.159994i
\(757\) 4.19727e12 7.26988e12i 0.464553 0.804629i −0.534628 0.845087i \(-0.679548\pi\)
0.999181 + 0.0404579i \(0.0128817\pi\)
\(758\) −3.77891e12 −0.415772
\(759\) 2.30056e11 3.98468e11i 0.0251620 0.0435818i
\(760\) 8.62796e11 1.49441e12i 0.0938095 0.162483i
\(761\) −1.68722e12 + 2.92236e12i −0.182365 + 0.315866i −0.942686 0.333683i \(-0.891709\pi\)
0.760320 + 0.649548i \(0.225042\pi\)
\(762\) −2.34241e12 4.05717e12i −0.251689 0.435939i
\(763\) −7.40700e12 −0.791192
\(764\) 4.65845e10 + 8.06868e10i 0.00494