Properties

Label 43.9.f.a.2.9
Level 43
Weight 9
Character 43.2
Analytic conductor 17.517
Analytic rank 0
Dimension 174
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(17.5172802326\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.9
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.86394 - 12.1766i) q^{2} +(-67.7996 + 140.787i) q^{3} +(45.7298 - 57.3434i) q^{4} +(-958.314 - 218.729i) q^{5} +2111.88 q^{6} -747.870i q^{7} +(-4339.50 - 990.462i) q^{8} +(-11133.6 - 13961.0i) q^{9} +O(q^{10})\) \(q+(-5.86394 - 12.1766i) q^{2} +(-67.7996 + 140.787i) q^{3} +(45.7298 - 57.3434i) q^{4} +(-958.314 - 218.729i) q^{5} +2111.88 q^{6} -747.870i q^{7} +(-4339.50 - 990.462i) q^{8} +(-11133.6 - 13961.0i) q^{9} +(2956.12 + 12951.6i) q^{10} +(10.2101 + 12.8031i) q^{11} +(4972.76 + 10326.0i) q^{12} +(-1945.35 + 8523.15i) q^{13} +(-9106.51 + 4385.46i) q^{14} +(95767.5 - 120089. i) q^{15} +(9207.96 + 40342.7i) q^{16} +(29569.0 + 129550. i) q^{17} +(-104711. + 217435. i) q^{18} +(38943.1 + 31056.1i) q^{19} +(-56366.2 + 44950.5i) q^{20} +(105291. + 50705.3i) q^{21} +(96.0261 - 199.400i) q^{22} +(-111007. - 139198. i) q^{23} +(433661. - 543793. i) q^{24} +(518582. + 249736. i) q^{25} +(115190. - 26291.4i) q^{26} +(1.72086e6 - 392775. i) q^{27} +(-42885.4 - 34200.0i) q^{28} +(-376338. - 781473. i) q^{29} +(-2.02384e6 - 461929. i) q^{30} +(864972. - 416549. i) q^{31} +(-453640. + 361766. i) q^{32} +(-2494.75 + 569.410i) q^{33} +(1.40409e6 - 1.11973e6i) q^{34} +(-163581. + 716694. i) q^{35} -1.30971e6 q^{36} +2.71467e6i q^{37} +(149797. - 656305. i) q^{38} +(-1.06806e6 - 851747. i) q^{39} +(3.94196e6 + 1.89835e6i) q^{40} +(2.80502e6 - 1.35083e6i) q^{41} -1.57941e6i q^{42} +(-3.03494e6 + 1.57396e6i) q^{43} +1201.08 q^{44} +(7.61576e6 + 1.58143e7i) q^{45} +(-1.04402e6 + 2.16793e6i) q^{46} +(600496. - 752998. i) q^{47} +(-6.30404e6 - 1.43886e6i) q^{48} +5.20549e6 q^{49} -7.77899e6i q^{50} +(-2.02438e7 - 4.62052e6i) q^{51} +(399786. + 501315. i) q^{52} +(-523837. - 2.29508e6i) q^{53} +(-1.48737e7 - 1.86510e7i) q^{54} +(-6984.07 - 14502.6i) q^{55} +(-740737. + 3.24538e6i) q^{56} +(-7.01262e6 + 3.37710e6i) q^{57} +(-7.30886e6 + 9.16502e6i) q^{58} +(3.29311e6 + 1.44280e7i) q^{59} +(-2.50686e6 - 1.09833e7i) q^{60} +(8.23391e6 - 1.70979e7i) q^{61} +(-1.01443e7 - 8.08980e6i) q^{62} +(-1.04411e7 + 8.32646e6i) q^{63} +(1.66094e7 + 7.99869e6i) q^{64} +(3.72852e6 - 7.74235e6i) q^{65} +(21562.5 + 27038.5i) q^{66} +(1.70690e7 - 2.14038e7i) q^{67} +(8.78105e6 + 4.22873e6i) q^{68} +(2.71235e7 - 6.19076e6i) q^{69} +(9.68612e6 - 2.21079e6i) q^{70} +(-2.92979e7 - 2.33643e7i) q^{71} +(3.44862e7 + 7.16113e7i) q^{72} +(-1.88325e7 - 4.29838e6i) q^{73} +(3.30554e7 - 1.59186e7i) q^{74} +(-7.03193e7 + 5.60777e7i) q^{75} +(3.56172e6 - 812939. i) q^{76} +(9575.02 - 7635.83i) q^{77} +(-4.10836e6 + 1.79999e7i) q^{78} +3.00756e7 q^{79} -4.06750e7i q^{80} +(-3.53055e7 + 1.54684e8i) q^{81} +(-3.28970e7 - 2.62344e7i) q^{82} +(-6.13112e7 - 2.95259e7i) q^{83} +(7.72254e6 - 3.71898e6i) q^{84} -1.30618e8i q^{85} +(3.69622e7 + 2.77256e7i) q^{86} +1.35537e8 q^{87} +(-31625.7 - 65671.5i) q^{88} +(-4.77081e6 + 9.90670e6i) q^{89} +(1.47906e8 - 1.85468e8i) q^{90} +(6.37421e6 + 1.45487e6i) q^{91} -1.30584e7 q^{92} +1.50019e8i q^{93} +(-1.26902e7 - 2.89646e6i) q^{94} +(-3.05268e7 - 3.82794e7i) q^{95} +(-2.01754e7 - 8.83943e7i) q^{96} +(3.28347e7 + 4.11734e7i) q^{97} +(-3.05247e7 - 6.33851e7i) q^{98} +(65069.3 - 285087. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} + O(q^{10}) \) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} - 24989q^{10} - 14864q^{11} - 1799q^{12} + 133078q^{13} - 243363q^{14} - 7457q^{15} - 558511q^{16} + 55162q^{17} - 45934q^{18} + 619745q^{19} + 1207493q^{20} + 307272q^{21} + 432761q^{22} + 473962q^{23} + 179363q^{24} + 2991984q^{25} + 112889q^{26} - 7q^{27} + 458745q^{28} + 1369823q^{29} + 4208148q^{30} + 608540q^{31} - 15074437q^{32} - 10988257q^{33} + 1542905q^{34} - 4078926q^{35} + 53343072q^{36} - 15207265q^{38} - 16862587q^{39} - 537581q^{40} - 852935q^{41} + 2982351q^{43} - 10366284q^{44} + 52423812q^{45} + 51003036q^{46} + 5828578q^{47} - 32078599q^{48} - 145853506q^{49} - 30015937q^{51} + 71975797q^{52} - 7800770q^{53} + 43151245q^{54} - 53485957q^{55} + 25379079q^{56} - 21662515q^{57} - 191329035q^{58} + 69716890q^{59} - 106388277q^{60} - 49131775q^{61} + 67656953q^{62} + 355075q^{63} + 227160853q^{64} - 87064999q^{65} + 146686057q^{66} - 31581292q^{67} + 200919430q^{68} - 30179079q^{69} + 86518670q^{70} - 60255454q^{71} - 438784346q^{72} - 50897868q^{73} + 5087868q^{74} + 206284834q^{75} + 461519674q^{76} + 256281375q^{77} - 182130842q^{78} - 236682026q^{79} - 488977844q^{81} - 226181851q^{82} - 429023996q^{83} - 513228846q^{84} + 336855461q^{86} + 255103986q^{87} + 977894029q^{88} - 258201748q^{89} + 1399550866q^{90} + 246776320q^{91} + 363749100q^{92} - 637129955q^{94} + 60088655q^{95} - 1169196874q^{96} + 218930393q^{97} - 330217825q^{98} + 459482633q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.86394 12.1766i −0.366496 0.761037i 0.633422 0.773806i \(-0.281650\pi\)
−0.999918 + 0.0127694i \(0.995935\pi\)
\(3\) −67.7996 + 140.787i −0.837032 + 1.73811i −0.180852 + 0.983510i \(0.557886\pi\)
−0.656180 + 0.754604i \(0.727829\pi\)
\(4\) 45.7298 57.3434i 0.178632 0.223998i
\(5\) −958.314 218.729i −1.53330 0.349966i −0.629186 0.777254i \(-0.716612\pi\)
−0.904115 + 0.427288i \(0.859469\pi\)
\(6\) 2111.88 1.62954
\(7\) 747.870i 0.311483i −0.987798 0.155741i \(-0.950223\pi\)
0.987798 0.155741i \(-0.0497767\pi\)
\(8\) −4339.50 990.462i −1.05945 0.241812i
\(9\) −11133.6 13961.0i −1.69693 2.12788i
\(10\) 2956.12 + 12951.6i 0.295612 + 1.29516i
\(11\) 10.2101 + 12.8031i 0.000697363 + 0.000874466i 0.782180 0.623052i \(-0.214108\pi\)
−0.781483 + 0.623927i \(0.785536\pi\)
\(12\) 4972.76 + 10326.0i 0.239813 + 0.497976i
\(13\) −1945.35 + 8523.15i −0.0681122 + 0.298419i −0.997498 0.0706898i \(-0.977480\pi\)
0.929386 + 0.369109i \(0.120337\pi\)
\(14\) −9106.51 + 4385.46i −0.237050 + 0.114157i
\(15\) 95767.5 120089.i 1.89170 2.37212i
\(16\) 9207.96 + 40342.7i 0.140502 + 0.615581i
\(17\) 29569.0 + 129550.i 0.354031 + 1.55111i 0.767776 + 0.640719i \(0.221364\pi\)
−0.413745 + 0.910393i \(0.635779\pi\)
\(18\) −104711. + 217435.i −0.997479 + 2.07129i
\(19\) 38943.1 + 31056.1i 0.298824 + 0.238304i 0.761411 0.648270i \(-0.224507\pi\)
−0.462586 + 0.886574i \(0.653079\pi\)
\(20\) −56366.2 + 44950.5i −0.352289 + 0.280941i
\(21\) 105291. + 50705.3i 0.541393 + 0.260721i
\(22\) 96.0261 199.400i 0.000409920 0.000851207i
\(23\) −111007. 139198.i −0.396677 0.497418i 0.542880 0.839811i \(-0.317334\pi\)
−0.939557 + 0.342393i \(0.888763\pi\)
\(24\) 433661. 543793.i 1.30709 1.63904i
\(25\) 518582. + 249736.i 1.32757 + 0.639324i
\(26\) 115190. 26291.4i 0.252071 0.0575335i
\(27\) 1.72086e6 392775.i 3.23810 0.739075i
\(28\) −42885.4 34200.0i −0.0697714 0.0556409i
\(29\) −376338. 781473.i −0.532091 1.10490i −0.977765 0.209703i \(-0.932750\pi\)
0.445675 0.895195i \(-0.352964\pi\)
\(30\) −2.02384e6 461929.i −2.49857 0.570283i
\(31\) 864972. 416549.i 0.936603 0.451044i 0.0976332 0.995222i \(-0.468873\pi\)
0.838970 + 0.544178i \(0.183159\pi\)
\(32\) −453640. + 361766.i −0.432625 + 0.345007i
\(33\) −2494.75 + 569.410i −0.00210364 + 0.000480141i
\(34\) 1.40409e6 1.11973e6i 1.05070 0.837907i
\(35\) −163581. + 716694.i −0.109008 + 0.477597i
\(36\) −1.30971e6 −0.779767
\(37\) 2.71467e6i 1.44847i 0.689553 + 0.724235i \(0.257807\pi\)
−0.689553 + 0.724235i \(0.742193\pi\)
\(38\) 149797. 656305.i 0.0718405 0.314754i
\(39\) −1.06806e6 851747.i −0.461675 0.368173i
\(40\) 3.94196e6 + 1.89835e6i 1.53983 + 0.741541i
\(41\) 2.80502e6 1.35083e6i 0.992661 0.478040i 0.134220 0.990952i \(-0.457147\pi\)
0.858442 + 0.512911i \(0.171433\pi\)
\(42\) 1.57941e6i 0.507573i
\(43\) −3.03494e6 + 1.57396e6i −0.887720 + 0.460385i
\(44\) 1201.08 0.000320450
\(45\) 7.61576e6 + 1.58143e7i 1.85722 + 3.85656i
\(46\) −1.04402e6 + 2.16793e6i −0.233172 + 0.484188i
\(47\) 600496. 752998.i 0.123060 0.154313i −0.716485 0.697603i \(-0.754250\pi\)
0.839545 + 0.543290i \(0.182822\pi\)
\(48\) −6.30404e6 1.43886e6i −1.18756 0.271052i
\(49\) 5.20549e6 0.902978
\(50\) 7.77899e6i 1.24464i
\(51\) −2.02438e7 4.62052e6i −2.99235 0.682983i
\(52\) 399786. + 501315.i 0.0546782 + 0.0685642i
\(53\) −523837. 2.29508e6i −0.0663885 0.290867i 0.930825 0.365465i \(-0.119090\pi\)
−0.997214 + 0.0745977i \(0.976233\pi\)
\(54\) −1.48737e7 1.86510e7i −1.74921 2.19344i
\(55\) −6984.07 14502.6i −0.000763235 0.00158487i
\(56\) −740737. + 3.24538e6i −0.0753203 + 0.330000i
\(57\) −7.01262e6 + 3.37710e6i −0.664326 + 0.319922i
\(58\) −7.30886e6 + 9.16502e6i −0.645859 + 0.809881i
\(59\) 3.29311e6 + 1.44280e7i 0.271768 + 1.19069i 0.907925 + 0.419132i \(0.137666\pi\)
−0.636158 + 0.771559i \(0.719477\pi\)
\(60\) −2.50686e6 1.09833e7i −0.193430 0.847474i
\(61\) 8.23391e6 1.70979e7i 0.594685 1.23488i −0.358794 0.933417i \(-0.616812\pi\)
0.953479 0.301459i \(-0.0974737\pi\)
\(62\) −1.01443e7 8.08980e6i −0.686522 0.547483i
\(63\) −1.04411e7 + 8.32646e6i −0.662799 + 0.528565i
\(64\) 1.66094e7 + 7.99869e6i 0.990000 + 0.476759i
\(65\) 3.72852e6 7.74235e6i 0.208873 0.433730i
\(66\) 21562.5 + 27038.5i 0.00113638 + 0.00142497i
\(67\) 1.70690e7 2.14038e7i 0.847048 1.06216i −0.150246 0.988649i \(-0.548007\pi\)
0.997294 0.0735157i \(-0.0234219\pi\)
\(68\) 8.78105e6 + 4.22873e6i 0.410687 + 0.197776i
\(69\) 2.71235e7 6.19076e6i 1.19660 0.273116i
\(70\) 9.68612e6 2.21079e6i 0.403420 0.0920780i
\(71\) −2.92979e7 2.33643e7i −1.15293 0.919432i −0.155276 0.987871i \(-0.549627\pi\)
−0.997655 + 0.0684391i \(0.978198\pi\)
\(72\) 3.44862e7 + 7.16113e7i 1.28326 + 2.66472i
\(73\) −1.88325e7 4.29838e6i −0.663156 0.151361i −0.122322 0.992490i \(-0.539034\pi\)
−0.540834 + 0.841130i \(0.681891\pi\)
\(74\) 3.30554e7 1.59186e7i 1.10234 0.530859i
\(75\) −7.03193e7 + 5.60777e7i −2.22244 + 1.77233i
\(76\) 3.56172e6 812939.i 0.106759 0.0243671i
\(77\) 9575.02 7635.83i 0.000272381 0.000217217i
\(78\) −4.10836e6 + 1.79999e7i −0.110991 + 0.486285i
\(79\) 3.00756e7 0.772158 0.386079 0.922466i \(-0.373829\pi\)
0.386079 + 0.922466i \(0.373829\pi\)
\(80\) 4.06750e7i 0.993043i
\(81\) −3.53055e7 + 1.54684e8i −0.820167 + 3.59339i
\(82\) −3.28970e7 2.62344e7i −0.727613 0.580252i
\(83\) −6.13112e7 2.95259e7i −1.29190 0.622144i −0.343476 0.939162i \(-0.611604\pi\)
−0.948420 + 0.317017i \(0.897319\pi\)
\(84\) 7.72254e6 3.71898e6i 0.155111 0.0746976i
\(85\) 1.30618e8i 2.50222i
\(86\) 3.69622e7 + 2.77256e7i 0.675715 + 0.506858i
\(87\) 1.35537e8 2.36582
\(88\) −31625.7 65671.5i −0.000527363 0.00109508i
\(89\) −4.77081e6 + 9.90670e6i −0.0760383 + 0.157895i −0.935522 0.353267i \(-0.885071\pi\)
0.859484 + 0.511162i \(0.170785\pi\)
\(90\) 1.47906e8 1.85468e8i 2.25432 2.82682i
\(91\) 6.37421e6 + 1.45487e6i 0.0929525 + 0.0212158i
\(92\) −1.30584e7 −0.182280
\(93\) 1.50019e8i 2.00546i
\(94\) −1.26902e7 2.89646e6i −0.162539 0.0370985i
\(95\) −3.05268e7 3.82794e7i −0.374789 0.469971i
\(96\) −2.01754e7 8.83943e7i −0.237540 1.04073i
\(97\) 3.28347e7 + 4.11734e7i 0.370890 + 0.465082i 0.931894 0.362732i \(-0.118156\pi\)
−0.561003 + 0.827814i \(0.689584\pi\)
\(98\) −3.05247e7 6.33851e7i −0.330938 0.687200i
\(99\) 65069.3 285087.i 0.000677384 0.00296781i
\(100\) 3.80354e7 1.83169e7i 0.380354 0.183169i
\(101\) −7.45443e7 + 9.34756e7i −0.716356 + 0.898282i −0.998126 0.0612002i \(-0.980507\pi\)
0.281770 + 0.959482i \(0.409079\pi\)
\(102\) 6.24463e7 + 2.73595e8i 0.576907 + 2.52760i
\(103\) 7.18182e6 + 3.14656e7i 0.0638096 + 0.279568i 0.996760 0.0804378i \(-0.0256318\pi\)
−0.932950 + 0.360006i \(0.882775\pi\)
\(104\) 1.68837e7 3.50594e7i 0.144323 0.299689i
\(105\) −8.98108e7 7.16217e7i −0.738875 0.589233i
\(106\) −2.48745e7 + 1.98367e7i −0.197029 + 0.157126i
\(107\) 1.31691e8 + 6.34191e7i 1.00467 + 0.483822i 0.862519 0.506024i \(-0.168885\pi\)
0.142146 + 0.989846i \(0.454600\pi\)
\(108\) 5.61715e7 1.16641e8i 0.412877 0.857349i
\(109\) −3.92119e7 4.91702e7i −0.277787 0.348334i 0.623292 0.781989i \(-0.285795\pi\)
−0.901079 + 0.433655i \(0.857224\pi\)
\(110\) −135638. + 170084.i −0.000926424 + 0.00116170i
\(111\) −3.82191e8 1.84053e8i −2.51761 1.21242i
\(112\) 3.01711e7 6.88636e6i 0.191743 0.0437641i
\(113\) 2.30359e8 5.25780e7i 1.41284 0.322471i 0.553060 0.833142i \(-0.313460\pi\)
0.859776 + 0.510671i \(0.170603\pi\)
\(114\) 8.22432e7 + 6.55867e7i 0.486946 + 0.388326i
\(115\) 7.59325e7 + 1.57676e8i 0.434147 + 0.901515i
\(116\) −6.20222e7 1.41562e7i −0.342543 0.0781832i
\(117\) 1.40651e8 6.77339e7i 0.750583 0.361462i
\(118\) 1.56374e8 1.24704e8i 0.806558 0.643209i
\(119\) 9.68869e7 2.21138e7i 0.483145 0.110275i
\(120\) −5.34526e8 + 4.26270e8i −2.57777 + 2.05570i
\(121\) 4.76993e7 2.08984e8i 0.222521 0.974927i
\(122\) −2.56477e8 −1.15774
\(123\) 4.86497e8i 2.12549i
\(124\) 1.56687e7 6.86492e7i 0.0662746 0.290368i
\(125\) −1.42141e8 1.13354e8i −0.582210 0.464297i
\(126\) 1.62614e8 + 7.83106e7i 0.645171 + 0.310698i
\(127\) 1.40027e8 6.74335e7i 0.538267 0.259216i −0.144940 0.989440i \(-0.546299\pi\)
0.683207 + 0.730225i \(0.260585\pi\)
\(128\) 1.00612e8i 0.374809i
\(129\) −1.58266e7 5.33995e8i −0.0571516 1.92832i
\(130\) −1.16139e8 −0.406636
\(131\) 5.24041e7 + 1.08818e8i 0.177943 + 0.369502i 0.970794 0.239913i \(-0.0771188\pi\)
−0.792852 + 0.609415i \(0.791405\pi\)
\(132\) −81432.5 + 169096.i −0.000268227 + 0.000556978i
\(133\) 2.32259e7 2.91244e7i 0.0742277 0.0930786i
\(134\) −3.60717e8 8.23312e7i −1.11879 0.255356i
\(135\) −1.73503e9 −5.22363
\(136\) 5.91471e8i 1.72893i
\(137\) 5.32865e8 + 1.21623e8i 1.51264 + 0.345250i 0.896734 0.442571i \(-0.145934\pi\)
0.615905 + 0.787821i \(0.288791\pi\)
\(138\) −2.34433e8 2.93969e8i −0.646401 0.810561i
\(139\) 1.08647e8 + 4.76015e8i 0.291045 + 1.27515i 0.883074 + 0.469233i \(0.155470\pi\)
−0.592030 + 0.805916i \(0.701673\pi\)
\(140\) 3.36172e7 + 4.21546e7i 0.0875082 + 0.109732i
\(141\) 6.52992e7 + 1.35595e8i 0.165208 + 0.343058i
\(142\) −1.12696e8 + 4.93756e8i −0.277177 + 1.21439i
\(143\) −128985. + 62115.7i −0.000308456 + 0.000148545i
\(144\) 4.60709e8 5.77711e8i 1.07146 1.34357i
\(145\) 1.89719e8 + 8.31212e8i 0.429179 + 1.88036i
\(146\) 5.80926e7 + 2.54520e8i 0.127853 + 0.560159i
\(147\) −3.52930e8 + 7.32867e8i −0.755822 + 1.56948i
\(148\) 1.55668e8 + 1.24141e8i 0.324454 + 0.258743i
\(149\) −6.40402e8 + 5.10703e8i −1.29929 + 1.03615i −0.302752 + 0.953069i \(0.597905\pi\)
−0.996543 + 0.0830832i \(0.973523\pi\)
\(150\) 1.09518e9 + 5.27412e8i 2.16332 + 1.04180i
\(151\) 2.16621e8 4.49818e8i 0.416671 0.865226i −0.581975 0.813206i \(-0.697720\pi\)
0.998646 0.0520192i \(-0.0165657\pi\)
\(152\) −1.38233e8 1.73339e8i −0.258964 0.324730i
\(153\) 1.47945e9 1.85517e9i 2.69982 3.38547i
\(154\) −149126. 71815.1i −0.000265136 0.000127683i
\(155\) −9.20026e8 + 2.09990e8i −1.59395 + 0.363808i
\(156\) −9.76841e7 + 2.22958e7i −0.164940 + 0.0376465i
\(157\) 3.09789e8 + 2.47048e8i 0.509879 + 0.406615i 0.844351 0.535791i \(-0.179986\pi\)
−0.334472 + 0.942406i \(0.608558\pi\)
\(158\) −1.76361e8 3.66218e8i −0.282993 0.587641i
\(159\) 3.58634e8 + 8.18559e7i 0.561129 + 0.128074i
\(160\) 5.13858e8 2.47461e8i 0.784085 0.377595i
\(161\) −1.04102e8 + 8.30185e7i −0.154937 + 0.123558i
\(162\) 2.09055e9 4.77154e8i 3.03529 0.692785i
\(163\) −9.04055e7 + 7.20960e7i −0.128069 + 0.102132i −0.685430 0.728139i \(-0.740386\pi\)
0.557360 + 0.830271i \(0.311814\pi\)
\(164\) 5.08122e7 2.22623e8i 0.0702413 0.307747i
\(165\) 2.51530e6 0.00339354
\(166\) 9.19699e8i 1.21119i
\(167\) −2.38493e7 + 1.04491e8i −0.0306627 + 0.134342i −0.987943 0.154821i \(-0.950520\pi\)
0.957280 + 0.289163i \(0.0933770\pi\)
\(168\) −4.06687e8 3.24322e8i −0.510532 0.407136i
\(169\) 6.66088e8 + 3.20771e8i 0.816554 + 0.393232i
\(170\) −1.59048e9 + 7.65933e8i −1.90428 + 0.917054i
\(171\) 8.89451e8i 1.04025i
\(172\) −4.85307e7 + 2.46011e8i −0.0554502 + 0.281087i
\(173\) 1.65150e8 0.184371 0.0921856 0.995742i \(-0.470615\pi\)
0.0921856 + 0.995742i \(0.470615\pi\)
\(174\) −7.94780e8 1.65038e9i −0.867062 1.80047i
\(175\) 1.86770e8 3.87832e8i 0.199138 0.413515i
\(176\) −422496. + 529793.i −0.000440323 + 0.000552148i
\(177\) −2.25456e9 5.14588e8i −2.29704 0.524284i
\(178\) 1.48606e8 0.148032
\(179\) 1.80450e7i 0.0175770i −0.999961 0.00878850i \(-0.997202\pi\)
0.999961 0.00878850i \(-0.00279750\pi\)
\(180\) 1.25511e9 + 2.86471e8i 1.19562 + 0.272892i
\(181\) −2.65865e7 3.33384e7i −0.0247712 0.0310621i 0.769292 0.638898i \(-0.220609\pi\)
−0.794063 + 0.607836i \(0.792038\pi\)
\(182\) −1.96626e7 8.61474e7i −0.0179207 0.0785158i
\(183\) 1.84891e9 + 2.31846e9i 1.64859 + 2.06726i
\(184\) 3.43843e8 + 7.13996e8i 0.299977 + 0.622909i
\(185\) 5.93776e8 2.60150e9i 0.506916 2.22094i
\(186\) 1.82672e9 8.79702e8i 1.52623 0.734994i
\(187\) −1.35674e6 + 1.70130e6i −0.00110951 + 0.00139128i
\(188\) −1.57189e7 6.88689e7i −0.0125832 0.0551305i
\(189\) −2.93744e8 1.28698e9i −0.230209 1.00861i
\(190\) −2.87105e8 + 5.96181e8i −0.220306 + 0.457471i
\(191\) −2.95283e8 2.35481e8i −0.221874 0.176938i 0.506244 0.862390i \(-0.331033\pi\)
−0.728118 + 0.685452i \(0.759605\pi\)
\(192\) −2.25223e9 + 1.79609e9i −1.65732 + 1.32167i
\(193\) 2.22964e8 + 1.07374e8i 0.160696 + 0.0773873i 0.512503 0.858685i \(-0.328718\pi\)
−0.351807 + 0.936073i \(0.614433\pi\)
\(194\) 3.08811e8 6.41252e8i 0.218015 0.452712i
\(195\) 8.37232e8 + 1.04986e9i 0.579039 + 0.726091i
\(196\) 2.38046e8 2.98500e8i 0.161301 0.202265i
\(197\) −5.41139e8 2.60599e8i −0.359289 0.173025i 0.245527 0.969390i \(-0.421039\pi\)
−0.604816 + 0.796365i \(0.706753\pi\)
\(198\) −3.85295e6 + 879411.i −0.00250687 + 0.000572178i
\(199\) −2.15662e9 + 4.92235e8i −1.37519 + 0.313878i −0.845346 0.534219i \(-0.820606\pi\)
−0.529841 + 0.848097i \(0.677749\pi\)
\(200\) −2.00303e9 1.59736e9i −1.25189 0.998352i
\(201\) 1.85611e9 + 3.85426e9i 1.13716 + 2.36133i
\(202\) 1.57534e9 + 3.59560e8i 0.946167 + 0.215956i
\(203\) −5.84441e8 + 2.81452e8i −0.344157 + 0.165737i
\(204\) −1.19070e9 + 9.49554e8i −0.687516 + 0.548275i
\(205\) −2.98356e9 + 6.80977e8i −1.68935 + 0.385582i
\(206\) 3.41030e8 2.71963e8i 0.189376 0.151022i
\(207\) −7.07449e8 + 3.09954e9i −0.385313 + 1.68817i
\(208\) −3.61760e8 −0.193271
\(209\) 815675.i 0.000427496i
\(210\) −3.45463e8 + 1.51357e9i −0.177633 + 0.778263i
\(211\) 1.84701e9 + 1.47294e9i 0.931835 + 0.743113i 0.966602 0.256282i \(-0.0824976\pi\)
−0.0347673 + 0.999395i \(0.511069\pi\)
\(212\) −1.55563e8 7.49150e7i −0.0770126 0.0370873i
\(213\) 5.27579e9 2.54068e9i 2.56312 1.23433i
\(214\) 1.97544e9i 0.941906i
\(215\) 3.25269e9 8.44522e8i 1.52226 0.395237i
\(216\) −7.85668e9 −3.60931
\(217\) −3.11524e8 6.46887e8i −0.140493 0.291736i
\(218\) −3.68789e8 + 7.65798e8i −0.163287 + 0.339069i
\(219\) 1.88199e9 2.35994e9i 0.818165 1.02595i
\(220\) −1.15101e6 262710.i −0.000491346 0.000112147i
\(221\) −1.16170e9 −0.486995
\(222\) 5.73306e9i 2.36034i
\(223\) −2.15643e9 4.92191e8i −0.871998 0.199028i −0.236970 0.971517i \(-0.576154\pi\)
−0.635028 + 0.772489i \(0.719011\pi\)
\(224\) 2.70554e8 + 3.39264e8i 0.107464 + 0.134755i
\(225\) −2.28709e9 1.00204e10i −0.892387 3.90980i
\(226\) −1.99103e9 2.49667e9i −0.763211 0.957036i
\(227\) 2.74448e8 + 5.69897e8i 0.103361 + 0.214631i 0.946235 0.323479i \(-0.104853\pi\)
−0.842874 + 0.538110i \(0.819138\pi\)
\(228\) −1.27032e8 + 5.56562e8i −0.0470081 + 0.205956i
\(229\) 9.52912e8 4.58898e8i 0.346506 0.166869i −0.252533 0.967588i \(-0.581264\pi\)
0.599039 + 0.800720i \(0.295549\pi\)
\(230\) 1.47469e9 1.84920e9i 0.526973 0.660803i
\(231\) 425845. + 1.86575e6i 0.000149556 + 0.000655247i
\(232\) 8.59096e8 + 3.76395e9i 0.296545 + 1.29925i
\(233\) −4.18859e8 + 8.69769e8i −0.142116 + 0.295108i −0.959862 0.280472i \(-0.909509\pi\)
0.817746 + 0.575579i \(0.195223\pi\)
\(234\) −1.64953e9 1.31546e9i −0.550171 0.438747i
\(235\) −7.40166e8 + 5.90262e8i −0.242693 + 0.193541i
\(236\) 9.77946e8 + 4.70954e8i 0.315258 + 0.151820i
\(237\) −2.03911e9 + 4.23426e9i −0.646321 + 1.34210i
\(238\) −8.37409e8 1.05008e9i −0.260994 0.327276i
\(239\) 2.63340e9 3.30217e9i 0.807095 1.01206i −0.192432 0.981310i \(-0.561638\pi\)
0.999527 0.0307547i \(-0.00979106\pi\)
\(240\) 5.72653e9 + 2.75775e9i 1.72602 + 0.831208i
\(241\) −9.64736e8 + 2.20195e8i −0.285983 + 0.0652738i −0.363106 0.931748i \(-0.618284\pi\)
0.0771229 + 0.997022i \(0.475427\pi\)
\(242\) −2.82442e9 + 6.44655e8i −0.823508 + 0.187960i
\(243\) −1.03295e10 8.23747e9i −2.96246 2.36248i
\(244\) −6.03916e8 1.25404e9i −0.170379 0.353797i
\(245\) −4.98849e9 1.13859e9i −1.38454 0.316012i
\(246\) 5.92388e9 2.85279e9i 1.61758 0.778985i
\(247\) −3.40454e8 + 2.71503e8i −0.0914682 + 0.0729435i
\(248\) −4.16612e9 + 9.50890e8i −1.10135 + 0.251376i
\(249\) 8.31375e9 6.62999e9i 2.16272 1.72471i
\(250\) −5.46756e8 + 2.39549e9i −0.139970 + 0.613247i
\(251\) 5.68131e9 1.43138 0.715688 0.698420i \(-0.246113\pi\)
0.715688 + 0.698420i \(0.246113\pi\)
\(252\) 9.79493e8i 0.242884i
\(253\) 648770. 2.84245e6i 0.000158346 0.000693761i
\(254\) −1.64222e9 1.30963e9i −0.394545 0.314639i
\(255\) 1.83893e10 + 8.85581e9i 4.34915 + 2.09444i
\(256\) 3.02691e9 1.45768e9i 0.704757 0.339393i
\(257\) 2.87665e9i 0.659410i −0.944084 0.329705i \(-0.893051\pi\)
0.944084 0.329705i \(-0.106949\pi\)
\(258\) −6.40943e9 + 3.32402e9i −1.44657 + 0.750214i
\(259\) 2.03022e9 0.451174
\(260\) −2.73468e8 5.67862e8i −0.0598430 0.124265i
\(261\) −6.72020e9 + 1.39546e10i −1.44817 + 3.00716i
\(262\) 1.01774e9 1.27621e9i 0.215989 0.270842i
\(263\) 4.10900e9 + 9.37852e8i 0.858841 + 0.196025i 0.629193 0.777249i \(-0.283385\pi\)
0.229648 + 0.973274i \(0.426243\pi\)
\(264\) 1.13899e7 0.00234480
\(265\) 2.31398e9i 0.469220i
\(266\) −4.90831e8 1.12029e8i −0.0980404 0.0223771i
\(267\) −1.07128e9 1.34334e9i −0.210793 0.264327i
\(268\) −4.46806e8 1.95758e9i −0.0866123 0.379473i
\(269\) −1.91242e9 2.39810e9i −0.365236 0.457991i 0.564926 0.825142i \(-0.308905\pi\)
−0.930162 + 0.367150i \(0.880333\pi\)
\(270\) 1.01741e10 + 2.11268e10i 1.91444 + 3.97538i
\(271\) −1.08641e9 + 4.75988e9i −0.201427 + 0.882508i 0.768642 + 0.639679i \(0.220933\pi\)
−0.970069 + 0.242829i \(0.921924\pi\)
\(272\) −4.95415e9 + 2.38579e9i −0.905093 + 0.435870i
\(273\) −6.36997e8 + 7.98768e8i −0.114680 + 0.143804i
\(274\) −1.64373e9 7.20167e9i −0.291628 1.27771i
\(275\) 2.09739e6 + 9.18925e6i 0.000366731 + 0.00160675i
\(276\) 8.85353e8 1.83846e9i 0.152574 0.316823i
\(277\) 6.68880e9 + 5.33414e9i 1.13613 + 0.906035i 0.996452 0.0841614i \(-0.0268211\pi\)
0.139680 + 0.990197i \(0.455393\pi\)
\(278\) 5.15913e9 4.11427e9i 0.863769 0.688833i
\(279\) −1.54457e10 7.43825e9i −2.54912 1.22759i
\(280\) 1.41972e9 2.94807e9i 0.230977 0.479630i
\(281\) −4.61568e8 5.78788e8i −0.0740304 0.0928312i 0.743437 0.668806i \(-0.233194\pi\)
−0.817468 + 0.575974i \(0.804623\pi\)
\(282\) 1.26818e9 1.59024e9i 0.200532 0.251459i
\(283\) 7.09269e8 + 3.41566e8i 0.110577 + 0.0532511i 0.488355 0.872645i \(-0.337597\pi\)
−0.377777 + 0.925896i \(0.623312\pi\)
\(284\) −2.67958e9 + 6.11596e8i −0.411901 + 0.0940138i
\(285\) 7.45896e9 1.70246e9i 1.13057 0.258046i
\(286\) 1.51271e6 + 1.20635e6i 0.000226096 + 0.000180306i
\(287\) −1.01024e9 2.09779e9i −0.148901 0.309197i
\(288\) 1.01013e10 + 2.30554e9i 1.46827 + 0.335123i
\(289\) −9.62404e9 + 4.63469e9i −1.37964 + 0.664400i
\(290\) 9.00883e9 7.18430e9i 1.27373 1.01576i
\(291\) −8.02286e9 + 1.83117e9i −1.11881 + 0.255362i
\(292\) −1.10769e9 + 8.83352e8i −0.152365 + 0.121507i
\(293\) 2.59815e9 1.13832e10i 0.352528 1.54453i −0.418793 0.908082i \(-0.637547\pi\)
0.771322 0.636446i \(-0.219596\pi\)
\(294\) 1.09934e10 1.47144
\(295\) 1.45469e10i 1.92080i
\(296\) 2.68877e9 1.17803e10i 0.350258 1.53458i
\(297\) 2.25988e7 + 1.80220e7i 0.00290442 + 0.00231620i
\(298\) 9.97390e9 + 4.80318e9i 1.26474 + 0.609065i
\(299\) 1.40235e9 6.75337e8i 0.175458 0.0844959i
\(300\) 6.59677e9i 0.814416i
\(301\) 1.17712e9 + 2.26974e9i 0.143402 + 0.276509i
\(302\) −6.74751e9 −0.811177
\(303\) −8.10610e9 1.68325e10i −0.961704 1.99700i
\(304\) −8.94300e8 + 1.85703e9i −0.104710 + 0.217433i
\(305\) −1.16305e10 + 1.45842e10i −1.34400 + 1.68532i
\(306\) −3.12651e10 7.13605e9i −3.56594 0.813902i
\(307\) 3.30567e9 0.372139 0.186070 0.982537i \(-0.440425\pi\)
0.186070 + 0.982537i \(0.440425\pi\)
\(308\) 898249.i 9.98146e-5i
\(309\) −4.91689e9 1.12225e9i −0.539332 0.123099i
\(310\) 7.95193e9 + 9.97141e9i 0.861045 + 1.07972i
\(311\) −2.10667e9 9.22993e9i −0.225193 0.986636i −0.953502 0.301387i \(-0.902550\pi\)
0.728309 0.685249i \(-0.240307\pi\)
\(312\) 3.79121e9 + 4.75402e9i 0.400091 + 0.501699i
\(313\) 5.34267e9 + 1.10942e10i 0.556648 + 1.15589i 0.969499 + 0.245094i \(0.0788187\pi\)
−0.412851 + 0.910799i \(0.635467\pi\)
\(314\) 1.19162e9 5.22085e9i 0.122580 0.537059i
\(315\) 1.18270e10 5.69560e9i 1.20125 0.578492i
\(316\) 1.37535e9 1.72464e9i 0.137932 0.172962i
\(317\) 1.63777e9 + 7.17552e9i 0.162187 + 0.710586i 0.988976 + 0.148074i \(0.0473075\pi\)
−0.826790 + 0.562511i \(0.809835\pi\)
\(318\) −1.10628e9 4.84694e9i −0.108183 0.473979i
\(319\) 6.16280e6 1.27972e7i 0.000595135 0.00123581i
\(320\) −1.41675e10 1.12982e10i −1.35112 1.07748i
\(321\) −1.78572e10 + 1.42407e10i −1.68187 + 1.34125i
\(322\) 1.62133e9 + 7.80791e8i 0.150816 + 0.0726292i
\(323\) −2.87182e9 + 5.96339e9i −0.263844 + 0.547877i
\(324\) 7.25556e9 + 9.09819e9i 0.658402 + 0.825610i
\(325\) −3.13736e9 + 3.93413e9i −0.281210 + 0.352626i
\(326\) 1.40802e9 + 6.78064e8i 0.124663 + 0.0600345i
\(327\) 9.58109e9 2.18682e9i 0.837961 0.191259i
\(328\) −1.35103e10 + 3.08365e9i −1.16727 + 0.266421i
\(329\) −5.63145e8 4.49093e8i −0.0480658 0.0383312i
\(330\) −1.47495e7 3.06277e7i −0.00124372 0.00258261i
\(331\) 4.61067e9 + 1.05235e9i 0.384107 + 0.0876699i 0.410214 0.911989i \(-0.365454\pi\)
−0.0261073 + 0.999659i \(0.508311\pi\)
\(332\) −4.49687e9 + 2.16558e9i −0.370133 + 0.178247i
\(333\) 3.78996e10 3.02239e10i 3.08218 2.45795i
\(334\) 1.41219e9 3.22324e8i 0.113477 0.0259004i
\(335\) −2.10390e10 + 1.67781e10i −1.67050 + 1.33218i
\(336\) −1.07608e9 + 4.71460e9i −0.0844280 + 0.369903i
\(337\) 1.33019e10 1.03132 0.515662 0.856792i \(-0.327546\pi\)
0.515662 + 0.856792i \(0.327546\pi\)
\(338\) 9.99166e9i 0.765546i
\(339\) −8.21594e9 + 3.59964e10i −0.622098 + 2.72559i
\(340\) −7.49005e9 5.97312e9i −0.560492 0.446977i
\(341\) 1.41645e7 + 6.82128e6i 0.00104757 + 0.000504485i
\(342\) −1.08305e10 + 5.21568e9i −0.791668 + 0.381247i
\(343\) 8.20436e9i 0.592745i
\(344\) 1.47290e10 3.82422e9i 1.05182 0.273092i
\(345\) −2.73469e10 −1.93033
\(346\) −9.68427e8 2.01096e9i −0.0675713 0.140313i
\(347\) −4.78744e9 + 9.94123e9i −0.330207 + 0.685681i −0.998293 0.0584026i \(-0.981399\pi\)
0.668087 + 0.744084i \(0.267114\pi\)
\(348\) 6.19808e9 7.77215e9i 0.422611 0.529937i
\(349\) −8.14034e9 1.85798e9i −0.548707 0.125239i −0.0608253 0.998148i \(-0.519373\pi\)
−0.487882 + 0.872910i \(0.662230\pi\)
\(350\) −5.81768e9 −0.387684
\(351\) 1.54312e10i 1.01665i
\(352\) −9.26341e6 2.11431e6i −0.000603393 0.000137720i
\(353\) −6.99747e9 8.77455e9i −0.450653 0.565101i 0.503663 0.863900i \(-0.331985\pi\)
−0.954316 + 0.298799i \(0.903414\pi\)
\(354\) 6.95465e9 + 3.04703e10i 0.442856 + 1.94028i
\(355\) 2.29661e10 + 2.87986e10i 1.44602 + 1.81325i
\(356\) 3.49915e8 + 7.26606e8i 0.0217853 + 0.0452376i
\(357\) −3.45555e9 + 1.51398e10i −0.212738 + 0.932064i
\(358\) −2.19727e8 + 1.05815e8i −0.0133767 + 0.00644190i
\(359\) 1.63714e9 2.05290e9i 0.0985614 0.123592i −0.730105 0.683335i \(-0.760529\pi\)
0.828666 + 0.559743i \(0.189100\pi\)
\(360\) −1.73851e10 7.61692e10i −1.03507 4.53492i
\(361\) −3.22711e9 1.41389e10i −0.190014 0.832506i
\(362\) −2.50047e8 + 5.19227e8i −0.0145608 + 0.0302359i
\(363\) 2.61883e10 + 2.08845e10i 1.50828 + 1.20281i
\(364\) 3.74919e8 2.98988e8i 0.0213566 0.0170313i
\(365\) 1.71072e10 + 8.23840e9i 0.963847 + 0.464164i
\(366\) 1.73890e10 3.61087e10i 0.969062 2.01228i
\(367\) −2.56636e9 3.21811e9i −0.141466 0.177393i 0.706051 0.708161i \(-0.250475\pi\)
−0.847517 + 0.530768i \(0.821904\pi\)
\(368\) 4.59348e9 5.76004e9i 0.250467 0.314075i
\(369\) −5.00889e10 2.41215e10i −2.70169 1.30107i
\(370\) −3.51593e10 + 8.02488e9i −1.87600 + 0.428185i
\(371\) −1.71642e9 + 3.91762e8i −0.0906000 + 0.0206789i
\(372\) 8.60260e9 + 6.86034e9i 0.449219 + 0.358240i
\(373\) −1.64762e10 3.42132e10i −0.851180 1.76749i −0.600909 0.799317i \(-0.705195\pi\)
−0.250271 0.968176i \(-0.580520\pi\)
\(374\) 2.86718e7 + 6.54415e6i 0.00146544 + 0.000334477i
\(375\) 2.55959e10 1.23263e10i 1.29433 0.623317i
\(376\) −3.35166e9 + 2.67286e9i −0.167691 + 0.133729i
\(377\) 7.39272e9 1.68734e9i 0.365965 0.0835290i
\(378\) −1.39485e10 + 1.11236e10i −0.683220 + 0.544850i
\(379\) 1.78315e9 7.81250e9i 0.0864234 0.378646i −0.913157 0.407608i \(-0.866363\pi\)
0.999581 + 0.0289621i \(0.00922020\pi\)
\(380\) −3.59106e9 −0.172222
\(381\) 2.42860e10i 1.15254i
\(382\) −1.13583e9 + 4.97639e9i −0.0533408 + 0.233701i
\(383\) 1.72016e10 + 1.37178e10i 0.799417 + 0.637513i 0.935557 0.353176i \(-0.114898\pi\)
−0.136140 + 0.990690i \(0.543470\pi\)
\(384\) 1.41649e10 + 6.82146e9i 0.651462 + 0.313727i
\(385\) −1.08460e7 + 5.22318e6i −0.000493661 + 0.000237735i
\(386\) 3.34458e9i 0.150658i
\(387\) 5.57638e10 + 2.48471e10i 2.48604 + 1.10772i
\(388\) 3.86254e9 0.170430
\(389\) 1.45129e10 + 3.01364e10i 0.633806 + 1.31611i 0.932295 + 0.361699i \(0.117803\pi\)
−0.298489 + 0.954413i \(0.596483\pi\)
\(390\) 7.87419e9 1.63509e10i 0.340367 0.706779i
\(391\) 1.47508e10 1.84969e10i 0.631114 0.791392i
\(392\) −2.25892e10 5.15584e9i −0.956658 0.218351i
\(393\) −1.88732e10 −0.791181
\(394\) 8.11736e9i 0.336845i
\(395\) −2.88219e10 6.57840e9i −1.18395 0.270229i
\(396\) −1.33723e7 1.67683e7i −0.000543781 0.000681880i
\(397\) −1.13776e9 4.98486e9i −0.0458025 0.200674i 0.946850 0.321676i \(-0.104246\pi\)
−0.992652 + 0.121002i \(0.961389\pi\)
\(398\) 1.86400e10 + 2.33739e10i 0.742873 + 0.931533i
\(399\) 2.52563e9 + 5.24453e9i 0.0996504 + 0.206926i
\(400\) −5.29994e9 + 2.32206e10i −0.207029 + 0.907053i
\(401\) −2.63786e10 + 1.27033e10i −1.02018 + 0.491290i −0.867738 0.497023i \(-0.834427\pi\)
−0.152438 + 0.988313i \(0.548712\pi\)
\(402\) 3.60476e10 4.52023e10i 1.38030 1.73084i
\(403\) 1.86763e9 + 8.18263e9i 0.0708061 + 0.310222i
\(404\) 1.95131e9 + 8.54924e9i 0.0732488 + 0.320924i
\(405\) 6.76675e10 1.40513e11i 2.51513 5.22272i
\(406\) 6.85424e9 + 5.46608e9i 0.252264 + 0.201174i
\(407\) −3.47560e7 + 2.77170e7i −0.00126664 + 0.00101011i
\(408\) 8.32715e10 + 4.01015e10i 3.00508 + 1.44717i
\(409\) −8.03938e8 + 1.66939e9i −0.0287296 + 0.0596576i −0.914840 0.403817i \(-0.867683\pi\)
0.886110 + 0.463475i \(0.153398\pi\)
\(410\) 2.57874e10 + 3.23363e10i 0.912581 + 1.14434i
\(411\) −5.32510e10 + 6.67747e10i −1.86621 + 2.34015i
\(412\) 2.13277e9 + 1.02709e9i 0.0740210 + 0.0356466i
\(413\) 1.07903e10 2.46282e9i 0.370880 0.0846509i
\(414\) 4.18902e10 9.56117e9i 1.42597 0.325469i
\(415\) 5.22972e10 + 4.17056e10i 1.76314 + 1.40605i
\(416\) −2.20089e9 4.57020e9i −0.0734896 0.152603i
\(417\) −7.43830e10 1.69774e10i −2.45997 0.561472i
\(418\) 9.93214e6 4.78307e6i 0.000325340 0.000156676i
\(419\) 4.10166e10 3.27096e10i 1.33077 1.06125i 0.338011 0.941142i \(-0.390246\pi\)
0.992760 0.120113i \(-0.0383255\pi\)
\(420\) −8.21406e9 + 1.87481e9i −0.263974 + 0.0602503i
\(421\) −7.40049e8 + 5.90169e8i −0.0235576 + 0.0187866i −0.635198 0.772349i \(-0.719081\pi\)
0.611640 + 0.791136i \(0.290510\pi\)
\(422\) 7.10464e9 3.11275e10i 0.224023 0.981509i
\(423\) −1.71983e10 −0.537185
\(424\) 1.04783e10i 0.324212i
\(425\) −1.70194e10 + 7.45669e10i −0.521662 + 2.28555i
\(426\) −6.18737e10 4.93427e10i −1.87875 1.49825i
\(427\) −1.27870e10 6.15790e9i −0.384643 0.185234i
\(428\) 9.65888e9 4.65147e9i 0.287840 0.138617i
\(429\) 2.23708e7i 0.000660469i
\(430\) −2.93570e10 3.46545e10i −0.858692 1.01364i
\(431\) −2.22239e10 −0.644038 −0.322019 0.946733i \(-0.604361\pi\)
−0.322019 + 0.946733i \(0.604361\pi\)
\(432\) 3.16912e10 + 6.58074e10i 0.909921 + 1.88947i
\(433\) 8.50509e9 1.76610e10i 0.241951 0.502416i −0.744264 0.667885i \(-0.767200\pi\)
0.986215 + 0.165469i \(0.0529139\pi\)
\(434\) −6.05012e9 + 7.58661e9i −0.170532 + 0.213840i
\(435\) −1.29887e11 2.96459e10i −3.62751 0.827955i
\(436\) −4.61274e9 −0.127648
\(437\) 8.86822e9i 0.243170i
\(438\) −3.97719e10 9.07768e9i −1.08064 0.246648i
\(439\) 1.04305e10 + 1.30794e10i 0.280831 + 0.352151i 0.902162 0.431397i \(-0.141979\pi\)
−0.621331 + 0.783548i \(0.713408\pi\)
\(440\) 1.59431e7 + 6.98514e7i 0.000425366 + 0.00186365i
\(441\) −5.79557e10 7.26741e10i −1.53229 1.92143i
\(442\) 6.81213e9 + 1.41455e10i 0.178482 + 0.370621i
\(443\) −1.08300e10 + 4.74493e10i −0.281198 + 1.23201i 0.615061 + 0.788480i \(0.289132\pi\)
−0.896259 + 0.443531i \(0.853726\pi\)
\(444\) −2.80318e10 + 1.34994e10i −0.721304 + 0.347362i
\(445\) 6.73882e9 8.45021e9i 0.171848 0.215490i
\(446\) 6.65195e9 + 2.91441e10i 0.168116 + 0.736565i
\(447\) −2.84816e10 1.24786e11i −0.713401 3.12562i
\(448\) 5.98198e9 1.24217e10i 0.148502 0.308368i
\(449\) −1.10687e10 8.82702e9i −0.272341 0.217185i 0.477790 0.878474i \(-0.341438\pi\)
−0.750131 + 0.661290i \(0.770009\pi\)
\(450\) −1.08603e11 + 8.66079e10i −2.64845 + 2.11207i
\(451\) 4.59343e7 + 2.21208e7i 0.00111028 + 0.000534680i
\(452\) 7.51928e9 1.56140e10i 0.180145 0.374075i
\(453\) 4.86419e10 + 6.09950e10i 1.15509 + 1.44844i
\(454\) 5.33005e9 6.68367e9i 0.125461 0.157323i
\(455\) −5.79027e9 2.78845e9i −0.135099 0.0650604i
\(456\) 3.37761e10 7.70919e9i 0.781179 0.178299i
\(457\) 6.20809e10 1.41696e10i 1.42329 0.324856i 0.559550 0.828796i \(-0.310974\pi\)
0.863739 + 0.503940i \(0.168117\pi\)
\(458\) −1.11756e10 8.91227e9i −0.253986 0.202547i
\(459\) 1.01768e11 + 2.11324e11i 2.29277 + 4.76100i
\(460\) 1.25140e10 + 2.85625e9i 0.279490 + 0.0637917i
\(461\) 4.21542e10 2.03004e10i 0.933333 0.449469i 0.0955205 0.995427i \(-0.469548\pi\)
0.837813 + 0.545958i \(0.183834\pi\)
\(462\) 2.02213e7 1.61260e7i 0.000443855 0.000353963i
\(463\) −5.96022e10 + 1.36038e10i −1.29699 + 0.296030i −0.814651 0.579952i \(-0.803071\pi\)
−0.482343 + 0.875982i \(0.660214\pi\)
\(464\) 2.80614e10 2.23783e10i 0.605394 0.482786i
\(465\) 3.28135e10 1.43765e11i 0.701844 3.07498i
\(466\) 1.30470e10 0.276673
\(467\) 7.04408e10i 1.48101i −0.672053 0.740503i \(-0.734587\pi\)
0.672053 0.740503i \(-0.265413\pi\)
\(468\) 2.54785e9 1.11629e10i 0.0531117 0.232698i
\(469\) −1.60073e10 1.27654e10i −0.330846 0.263841i
\(470\) 1.15277e10 + 5.55143e9i 0.236238 + 0.113766i
\(471\) −5.57848e10 + 2.68646e10i −1.13353 + 0.545879i
\(472\) 6.58721e10i 1.32719i
\(473\) −5.11385e7 2.27861e7i −0.00102165 0.000455225i
\(474\) 6.35161e10 1.25826
\(475\) 1.24394e10 + 2.58306e10i 0.244356 + 0.507411i
\(476\) 3.16254e9 6.56708e9i 0.0616039 0.127922i
\(477\) −2.62095e10 + 3.28657e10i −0.506274 + 0.634848i
\(478\) −5.56513e10 1.27020e10i −1.06602 0.243311i
\(479\) −3.38662e10 −0.643316 −0.321658 0.946856i \(-0.604240\pi\)
−0.321658 + 0.946856i \(0.604240\pi\)
\(480\) 8.91224e10i 1.67889i
\(481\) −2.31375e10 5.28099e9i −0.432251 0.0986586i
\(482\) 8.33837e9 + 1.04560e10i 0.154487 + 0.193721i
\(483\) −4.62989e9 2.02849e10i −0.0850710 0.372721i
\(484\) −9.80258e9 1.22920e10i −0.178632 0.223997i
\(485\) −2.24601e10 4.66389e10i −0.405924 0.842910i
\(486\) −3.97330e10 + 1.74082e11i −0.712207 + 3.12038i
\(487\) 1.85212e10 8.91932e9i 0.329270 0.158568i −0.261943 0.965083i \(-0.584363\pi\)
0.591214 + 0.806515i \(0.298649\pi\)
\(488\) −5.26659e10 + 6.60409e10i −0.928645 + 1.16448i
\(489\) −4.02074e9 1.76160e10i −0.0703187 0.308086i
\(490\) 1.53880e10 + 6.74195e10i 0.266931 + 1.16950i
\(491\) −2.03426e10 + 4.22419e10i −0.350011 + 0.726804i −0.999435 0.0336220i \(-0.989296\pi\)
0.649424 + 0.760426i \(0.275010\pi\)
\(492\) 2.78974e10 + 2.22474e10i 0.476106 + 0.379682i
\(493\) 9.01122e10 7.18621e10i 1.52544 1.21650i
\(494\) 5.30237e9 + 2.55349e9i 0.0890354 + 0.0428772i
\(495\) −1.24714e8 + 2.58970e8i −0.00207727 + 0.00431349i
\(496\) 2.47693e10 + 3.10598e10i 0.409249 + 0.513182i
\(497\) −1.74735e10 + 2.19110e10i −0.286387 + 0.359118i
\(498\) −1.29482e11 6.23552e10i −2.10519 1.01381i
\(499\) −5.51353e10 + 1.25843e10i −0.889258 + 0.202967i −0.642661 0.766151i \(-0.722170\pi\)
−0.246597 + 0.969118i \(0.579312\pi\)
\(500\) −1.30002e10 + 2.96721e9i −0.208003 + 0.0474753i
\(501\) −1.30940e10 1.04421e10i −0.207836 0.165744i
\(502\) −3.33149e10 6.91790e10i −0.524594 1.08933i
\(503\) 1.47605e10 + 3.36900e9i 0.230584 + 0.0526294i 0.336252 0.941772i \(-0.390841\pi\)
−0.105667 + 0.994402i \(0.533698\pi\)
\(504\) 5.35560e10 2.57912e10i 0.830014 0.399714i
\(505\) 9.18826e10 7.32739e10i 1.41276 1.12664i
\(506\) −3.84156e7 + 8.76812e6i −0.000586011 + 0.000133753i
\(507\) −9.03210e10 + 7.20286e10i −1.36696 + 1.09012i
\(508\) 2.53655e9 1.11134e10i 0.0380880 0.166875i
\(509\) 1.31046e11 1.95233 0.976166 0.217025i \(-0.0696352\pi\)
0.976166 + 0.217025i \(0.0696352\pi\)
\(510\) 2.75849e11i 4.07747i
\(511\) −3.21463e9 + 1.40842e10i −0.0471463 + 0.206562i
\(512\) −5.56366e10 4.43687e10i −0.809619 0.645649i
\(513\) 7.92135e10 + 3.81472e10i 1.14375 + 0.550799i
\(514\) −3.50278e10 + 1.68685e10i −0.501835 + 0.241671i
\(515\) 3.17248e10i 0.450993i
\(516\) −3.13448e10 2.35119e10i −0.442147 0.331657i
\(517\) 1.57718e7 0.000220759
\(518\) −1.19051e10 2.47211e10i −0.165353 0.343360i
\(519\) −1.11971e10 + 2.32510e10i −0.154325 + 0.320458i
\(520\) −2.38484e10 + 2.99049e10i −0.326171 + 0.409006i
\(521\) 1.33457e11 + 3.04607e10i 1.81130 + 0.413418i 0.988034 0.154236i \(-0.0492916\pi\)
0.823267 + 0.567654i \(0.192149\pi\)
\(522\) 2.09327e11 2.81931
\(523\) 2.42795e10i 0.324514i 0.986749 + 0.162257i \(0.0518774\pi\)
−0.986749 + 0.162257i \(0.948123\pi\)
\(524\) 8.63644e9 + 1.97121e9i 0.114554 + 0.0261462i
\(525\) 4.19389e10 + 5.25897e10i 0.552052 + 0.692251i
\(526\) −1.26751e10 5.55331e10i −0.165580 0.725452i
\(527\) 7.95405e10 + 9.97406e10i 1.03121 + 1.29309i
\(528\) −4.59431e7 9.54018e7i −0.000591132 0.00122750i
\(529\) 1.03723e10 4.54438e10i 0.132450 0.580299i
\(530\) 2.81764e10 1.35691e10i 0.357094 0.171967i
\(531\) 1.64767e11 2.06611e11i 2.07248 2.59881i
\(532\) −6.07973e8 2.66371e9i −0.00758993 0.0332537i
\(533\) 6.05655e9 + 2.65355e10i 0.0750441 + 0.328790i
\(534\) −1.00754e10 + 2.09218e10i −0.123907 + 0.257296i
\(535\) −1.12330e11 8.95801e10i −1.37113 1.09344i
\(536\) −9.52704e10 + 7.59756e10i −1.15425 + 0.920481i
\(537\) 2.54051e9 + 1.22344e9i 0.0305509 + 0.0147125i
\(538\) −1.79863e10 + 3.73490e10i −0.214691 + 0.445810i
\(539\) 5.31485e7 + 6.66462e7i 0.000629704 + 0.000789624i
\(540\) −7.93427e10 + 9.94927e10i −0.933109 + 1.17008i
\(541\) 6.85492e9 + 3.30116e9i 0.0800227 + 0.0385369i 0.473467 0.880812i \(-0.343002\pi\)
−0.393444 + 0.919348i \(0.628717\pi\)
\(542\) 6.43297e10 1.46828e10i 0.745443 0.170143i
\(543\) 6.49618e9 1.48271e9i 0.0747237 0.0170552i
\(544\) −6.02806e10 4.80721e10i −0.688306 0.548906i
\(545\) 2.68224e10 + 5.56972e10i 0.304026 + 0.631317i
\(546\) 1.34616e10 + 3.07252e9i 0.151470 + 0.0345719i
\(547\) −7.43271e10 + 3.57940e10i −0.830229 + 0.399817i −0.800201 0.599732i \(-0.795274\pi\)
−0.0300277 + 0.999549i \(0.509560\pi\)
\(548\) 3.13421e10 2.49945e10i 0.347541 0.277155i
\(549\) −3.30377e11 + 7.54065e10i −3.63681 + 0.830079i
\(550\) 9.95948e7 7.94242e7i 0.00108839 0.000867965i
\(551\) 9.61374e9 4.21205e10i 0.104300 0.456970i
\(552\) −1.23834e11 −1.33378
\(553\) 2.24927e10i 0.240514i
\(554\) 2.57289e10 1.12726e11i 0.273138 1.19670i
\(555\) 3.26001e11 + 2.59977e11i 3.43595 + 2.74008i
\(556\) 3.22647e10 + 1.55379e10i 0.337620 + 0.162589i
\(557\) 7.36625e10 3.54740e10i 0.765290 0.368544i −0.0101641 0.999948i \(-0.503235\pi\)
0.775454 + 0.631404i \(0.217521\pi\)
\(558\) 2.31693e11i 2.38988i
\(559\) −7.51110e9 2.89291e10i −0.0769230 0.296270i
\(560\) −3.04197e10 −0.309316
\(561\) −1.47535e8 3.06359e8i −0.00148951 0.00309299i
\(562\) −4.34106e9 + 9.01430e9i −0.0435161 + 0.0903622i
\(563\) 5.70220e10 7.15034e10i 0.567557 0.711693i −0.412378 0.911013i \(-0.635302\pi\)
0.979935 + 0.199319i \(0.0638731\pi\)
\(564\) 1.07616e10 + 2.45627e9i 0.106356 + 0.0242750i
\(565\) −2.32257e11 −2.27916
\(566\) 1.06394e10i 0.103670i
\(567\) 1.15683e11 + 2.64039e10i 1.11928 + 0.255468i
\(568\) 1.03997e11 + 1.30408e11i 0.999140 + 1.25288i
\(569\) 2.40869e10 + 1.05531e11i 0.229790 + 1.00678i 0.949811 + 0.312824i \(0.101275\pi\)
−0.720021 + 0.693952i \(0.755868\pi\)
\(570\) −6.44690e10 8.08416e10i −0.610733 0.765836i
\(571\) 1.68933e10 + 3.50793e10i 0.158917 + 0.329994i 0.965190 0.261549i \(-0.0842332\pi\)
−0.806273 + 0.591543i \(0.798519\pi\)
\(572\) −2.33652e6 + 1.02370e7i −2.18265e−5 + 9.56283e-5i
\(573\) 5.31728e10 2.56067e10i 0.493254 0.237539i
\(574\) −1.96200e10 + 2.46027e10i −0.180738 + 0.226639i
\(575\) −2.28033e10 9.99078e10i −0.208606 0.913962i
\(576\) −7.32523e10 3.20939e11i −0.665474 2.91563i
\(577\) 4.47396e10 9.29028e10i 0.403635 0.838157i −0.595753 0.803168i \(-0.703146\pi\)
0.999388 0.0349890i \(-0.0111396\pi\)
\(578\) 1.12869e11 + 9.00104e10i 1.01127 + 0.806457i
\(579\) −3.02338e10 + 2.41106e10i −0.269016 + 0.214533i
\(580\) 5.63403e10 + 2.71321e10i 0.497860 + 0.239757i
\(581\) −2.20816e10 + 4.58528e10i −0.193787 + 0.402403i
\(582\) 6.93429e10 + 8.69533e10i 0.604380 + 0.757869i
\(583\) 2.40356e7 3.01397e7i 0.000208056 0.000260894i
\(584\) 7.74660e10 + 3.73056e10i 0.665978 + 0.320718i
\(585\) −1.49603e11 + 3.41459e10i −1.27737 + 0.291551i
\(586\) −1.53844e11 + 3.51140e10i −1.30464 + 0.297776i
\(587\) 1.43435e11 + 1.14386e11i 1.20810 + 0.963430i 0.999893 0.0146536i \(-0.00466455\pi\)
0.208211 + 0.978084i \(0.433236\pi\)
\(588\) 2.58856e10 + 5.37521e10i 0.216546 + 0.449662i
\(589\) 4.66210e10 + 1.06410e10i 0.387365 + 0.0884136i
\(590\) −1.77131e11 + 8.53020e10i −1.46180 + 0.703965i
\(591\) 7.33780e10 5.85170e10i 0.601473 0.479659i
\(592\) −1.09517e11 + 2.49966e10i −0.891651 + 0.203514i
\(593\) 1.47284e11 1.17455e11i 1.19107 0.949845i 0.191569 0.981479i \(-0.438643\pi\)
0.999500 + 0.0316341i \(0.0100711\pi\)
\(594\) 8.69280e7 3.80856e8i 0.000698254 0.00305925i
\(595\) −9.76850e10 −0.779399
\(596\) 6.00772e10i 0.476129i
\(597\) 7.69177e10 3.36998e11i 0.605521 2.65296i
\(598\) −1.64466e10 1.31157e10i −0.128609 0.102562i
\(599\) 5.45108e10 + 2.62510e10i 0.423424 + 0.203910i 0.633447 0.773786i \(-0.281640\pi\)
−0.210023 + 0.977696i \(0.567354\pi\)
\(600\) 3.60693e11 1.73701e11i 2.78313 1.34028i
\(601\) 2.76306e10i 0.211783i 0.994378 + 0.105892i \(0.0337697\pi\)
−0.994378 + 0.105892i \(0.966230\pi\)
\(602\) 2.07351e10 2.76429e10i 0.157878 0.210474i
\(603\) −4.88858e11 −3.69754
\(604\) −1.58881e10 3.29919e10i −0.119378 0.247890i
\(605\) −9.14217e10 + 1.89839e11i −0.682383 + 1.41698i
\(606\) −1.57429e11 + 1.97409e11i −1.16733 + 1.46378i
\(607\) 1.65968e9 + 3.78811e8i 0.0122256 + 0.00279041i 0.228629 0.973514i \(-0.426576\pi\)
−0.216404 + 0.976304i \(0.569433\pi\)
\(608\) −2.89011e10 −0.211495
\(609\) 1.01364e11i 0.736911i
\(610\) 2.45786e11 + 5.60990e10i 1.77516 + 0.405168i
\(611\) 5.24974e9 + 6.58296e9i 0.0376680 + 0.0472342i
\(612\) −3.87268e10 1.69673e11i −0.276062 1.20951i
\(613\) −5.55071e10 6.96037e10i −0.393103 0.492936i 0.545415 0.838166i \(-0.316372\pi\)
−0.938518 + 0.345231i \(0.887801\pi\)
\(614\) −1.93842e10 4.02518e10i −0.136388 0.283212i
\(615\) 1.06411e11 4.66217e11i 0.743851 3.25902i
\(616\) −4.91138e7 + 2.36519e7i −0.000341099 + 0.000164265i
\(617\) 1.24454e10 1.56061e10i 0.0858755 0.107684i −0.737038 0.675852i \(-0.763776\pi\)
0.822913 + 0.568167i \(0.192347\pi\)
\(618\) 1.51672e10 + 6.64517e10i 0.103980 + 0.455567i
\(619\) −1.75751e10 7.70013e10i −0.119711 0.524488i −0.998851 0.0479245i \(-0.984739\pi\)
0.879140 0.476564i \(-0.158118\pi\)
\(620\) −3.00311e10 + 6.23602e10i −0.203238 + 0.422028i
\(621\) −2.45700e11 1.95939e11i −1.65211 1.31751i
\(622\) −1.00036e11 + 7.97758e10i −0.668334 + 0.532979i
\(623\) 7.40893e9 + 3.56795e9i 0.0491816 + 0.0236846i
\(624\) 2.45272e10 5.09312e10i 0.161774 0.335927i
\(625\) −2.87614e10 3.60656e10i −0.188491 0.236360i
\(626\) 1.03760e11 1.30111e11i 0.675667 0.847260i
\(627\) −1.14837e8 5.53025e7i −0.000743037 0.000357828i
\(628\) 2.83332e10 6.46686e9i 0.182162 0.0415772i
\(629\) −3.51686e11 + 8.02701e10i −2.24674 + 0.512804i
\(630\) −1.38706e11 1.10614e11i −0.880508 0.702181i
\(631\) −3.97885e10 8.26216e10i −0.250980 0.521166i 0.736972 0.675923i \(-0.236255\pi\)
−0.987953 + 0.154757i \(0.950541\pi\)
\(632\) −1.30513e11 2.97887e10i −0.818061 0.186717i
\(633\) −3.32598e11 + 1.60171e11i −2.07159 + 0.997626i
\(634\) 7.77696e10 6.20192e10i 0.481341 0.383857i
\(635\) −1.48940e11 + 3.39945e10i −0.916042 + 0.209081i
\(636\) 2.10942e10 1.68220e10i 0.128924 0.102813i
\(637\) −1.01265e10 + 4.43672e10i −0.0615039 + 0.269466i
\(638\) −1.91964e8 −0.00115861
\(639\) 6.69158e11i 4.01352i
\(640\) −2.20068e10 + 9.64180e10i −0.131171 + 0.574696i
\(641\) −9.69411e9 7.73080e9i −0.0574217 0.0457923i 0.594358 0.804200i \(-0.297406\pi\)
−0.651780 + 0.758408i \(0.725977\pi\)
\(642\) 2.78116e11 + 1.33934e11i 1.63714 + 0.788406i
\(643\) −1.51951e11 + 7.31757e10i −0.888913 + 0.428078i −0.821872 0.569672i \(-0.807070\pi\)
−0.0670412 + 0.997750i \(0.521356\pi\)
\(644\) 9.76598e9i 0.0567770i
\(645\) −1.01633e11 + 5.15196e11i −0.587214 + 2.97669i
\(646\) 8.94539e10 0.513652
\(647\) −4.86767e9 1.01078e10i −0.0277782 0.0576820i 0.886618 0.462502i \(-0.153048\pi\)
−0.914396 + 0.404820i \(0.867334\pi\)
\(648\) 3.06416e11 6.36280e11i 1.73785 3.60868i
\(649\) −1.51100e8 + 1.89473e8i −0.000851698 + 0.00106800i
\(650\) 6.63015e10 + 1.51329e10i 0.371424 + 0.0847751i
\(651\) 1.12195e11 0.624667
\(652\) 8.48110e9i 0.0469312i
\(653\) 1.31976e11 + 3.01227e10i 0.725843 + 0.165669i 0.569450 0.822026i \(-0.307156\pi\)
0.156393 + 0.987695i \(0.450013\pi\)
\(654\) −8.28109e10 1.03842e11i −0.452665 0.567624i
\(655\) −2.64179e10 1.15744e11i −0.143527 0.628832i
\(656\) 8.03246e10 + 1.00724e11i 0.433744 + 0.543898i
\(657\) 1.49662e11 + 3.10777e11i 0.803251 + 1.66797i
\(658\) −2.16618e9 + 9.49063e9i −0.0115555 + 0.0506281i
\(659\) −2.49984e10 + 1.20386e10i −0.132547 + 0.0638313i −0.498982 0.866612i \(-0.666293\pi\)
0.366435 + 0.930444i \(0.380578\pi\)
\(660\) 1.15024e8 1.44236e8i 0.000606196 0.000760146i
\(661\) 3.66416e10 + 1.60537e11i 0.191941 + 0.840950i 0.975564 + 0.219713i \(0.0705122\pi\)
−0.783623 + 0.621236i \(0.786631\pi\)
\(662\) −1.42226e10 6.23132e10i −0.0740536 0.324450i
\(663\) 7.87628e10 1.63553e11i 0.407631 0.846454i
\(664\) 2.36815e11 + 1.88854e11i 1.21825 + 0.971525i
\(665\) −2.86280e10 + 2.28301e10i −0.146388 + 0.116740i
\(666\) −5.90265e11 2.84257e11i −3.00020 1.44482i
\(667\) −6.70034e10 + 1.39134e11i −0.338527 + 0.702959i
\(668\) 4.90123e9 + 6.14595e9i 0.0246150 + 0.0308662i
\(669\) 2.15499e11 2.70227e11i 1.07582 1.34904i
\(670\) 3.27671e11 + 1.57798e11i 1.62607 + 0.783074i
\(671\) 3.02974e8 6.91519e7i 0.00149457 0.000341125i
\(672\) −6.61075e10 + 1.50886e10i −0.324170 + 0.0739898i
\(673\) −1.45697e11 1.16190e11i −0.710216 0.566379i 0.200359 0.979723i \(-0.435789\pi\)
−0.910575 + 0.413344i \(0.864361\pi\)
\(674\) −7.80016e10 1.61972e11i −0.377976 0.784875i
\(675\) 9.90495e11 + 2.26074e11i 4.77131 + 1.08902i
\(676\) 4.88542e10 2.35269e10i 0.233946 0.112662i
\(677\) 3.95543e10 3.15435e10i 0.188295 0.150160i −0.524805 0.851222i \(-0.675862\pi\)
0.713100 + 0.701062i \(0.247290\pi\)
\(678\) 4.86491e11 1.11038e11i 2.30227 0.525478i
\(679\) 3.07923e10 2.45561e10i 0.144865 0.115526i
\(680\) −1.29372e11 + 5.66814e11i −0.605067 + 2.65097i
\(681\) −9.88416e10 −0.459570
\(682\) 2.12475e8i 0.000982135i
\(683\) −3.55102e10 + 1.55580e11i −0.163181 + 0.714945i 0.825436 + 0.564495i \(0.190929\pi\)
−0.988618 + 0.150449i \(0.951928\pi\)
\(684\) −5.10041e10 4.06744e10i −0.233013 0.185822i
\(685\) −4.84050e11 2.33106e11i −2.19851 1.05874i
\(686\) −9.99011e10 + 4.81098e10i −0.451101 + 0.217239i
\(687\) 1.65271e11i 0.741942i
\(688\) −9.14436e10 1.07945e11i −0.408131 0.481778i
\(689\) 2.05804e10 0.0913221
\(690\) 1.60361e11 + 3.32992e11i 0.707459 + 1.46905i
\(691\) −6.81754e10 + 1.41568e11i −0.299030 + 0.620943i −0.995300 0.0968370i \(-0.969127\pi\)
0.696270 + 0.717780i \(0.254842\pi\)
\(692\) 7.55226e9 9.47024e9i 0.0329346 0.0412987i
\(693\) −2.13208e8 4.86634e7i −0.000924424 0.000210994i
\(694\) 1.49123e11 0.642848
\(695\) 4.79936e11i 2.05704i
\(696\) −5.88162e11 1.34244e11i −2.50646 0.572082i
\(697\) 2.57942e11 + 3.23449e11i 1.09293 + 1.37049i
\(698\) 2.51106e10 + 1.10017e11i 0.105788 + 0.463486i
\(699\) −9.40540e10 1.17940e11i −0.393975 0.494029i
\(700\) −1.36986e10 2.84455e10i −0.0570539 0.118474i
\(701\) 6.29636e10 2.75861e11i 0.260746 1.14240i −0.659699 0.751530i \(-0.729316\pi\)
0.920445 0.390872i \(-0.127827\pi\)
\(702\) 1.87900e11 9.04877e10i 0.773708 0.372598i
\(703\) −8.43069e10 + 1.05717e11i −0.345177 + 0.432838i
\(704\) 6.71764e7 + 2.94319e8i 0.000273480 + 0.00119820i
\(705\) −3.29185e10 1.44225e11i −0.133255 0.583829i
\(706\) −6.58114e10 + 1.36659e11i −0.264900 + 0.550071i
\(707\) 6.99076e10 + 5.57495e10i 0.279799 + 0.223133i
\(708\) −1.32609e11 + 1.05752e11i −0.527763 + 0.420877i
\(709\) 9.00893e10 + 4.33847e10i 0.356523 + 0.171693i 0.603568 0.797311i \(-0.293745\pi\)
−0.247045 + 0.969004i \(0.579459\pi\)
\(710\) 2.15997e11 4.48523e11i 0.849992 1.76503i
\(711\) −3.34849e11 4.19887e11i −1.31030 1.64306i
\(712\) 3.05151e10 3.82648e10i 0.118740 0.148895i
\(713\) −1.54000e11 7.41626e10i −0.595886 0.286964i
\(714\) 2.04614e11 4.67017e10i 0.787303 0.179697i
\(715\) 1.37194e8 3.13137e7i 0.000524942 0.000119815i
\(716\) −1.03476e9 8.25195e8i −0.00393721 0.00313982i
\(717\) 2.86361e11 + 5.94635e11i 1.08352 + 2.24995i
\(718\) −3.45974e10 7.89664e9i −0.130180 0.0297128i
\(719\) 1.85732e11 8.94439e10i 0.694979 0.334684i −0.0528252 0.998604i \(-0.516823\pi\)
0.747804 + 0.663920i \(0.231108\pi\)
\(720\) −5.67866e11 + 4.52858e11i −2.11308 + 1.68512i
\(721\) 2.35322e10 5.37107e9i 0.0870807 0.0198756i
\(722\) −1.53240e11 + 1.22205e11i −0.563928 + 0.449718i
\(723\) 3.44081e10 1.50752e11i 0.125924 0.551708i
\(724\) −3.12753e9 −0.0113828
\(725\) 4.99243e11i 1.80701i
\(726\) 1.00735e11 4.41350e11i 0.362606 1.58868i
\(727\) −1.86716e11 1.48901e11i −0.668412 0.533041i 0.229448 0.973321i \(-0.426308\pi\)
−0.897861 + 0.440280i \(0.854879\pi\)
\(728\) −2.62199e10 1.26268e10i −0.0933480 0.0449540i
\(729\) 9.22175e11 4.44096e11i 3.26515 1.57241i
\(730\) 2.56617e11i 0.903637i
\(731\) −2.93648e11 3.46637e11i −1.02839 1.21396i
\(732\) 2.17499e11 0.757552
\(733\) 7.15522e10 + 1.48580e11i 0.247860 + 0.514688i 0.987365 0.158464i \(-0.0506543\pi\)
−0.739504 + 0.673152i \(0.764940\pi\)
\(734\) −2.41367e10 + 5.01203e10i −0.0831558 + 0.172675i
\(735\) 4.98517e11 6.25120e11i 1.70817 2.14197i
\(736\) 1.00714e11 + 2.29873e10i 0.343225 + 0.0783388i
\(737\) 4.48310e8 0.00151953
\(738\) 7.51359e11i 2.53292i
\(739\) 1.07616e11 + 2.45626e10i 0.360827 + 0.0823563i 0.399091 0.916911i \(-0.369326\pi\)
−0.0382644 + 0.999268i \(0.512183\pi\)
\(740\) −1.22026e11 1.53015e11i −0.406934 0.510280i
\(741\) −1.51415e10 6.63393e10i −0.0502223 0.220038i
\(742\) 1.48353e10 + 1.86029e10i 0.0489419 + 0.0613712i
\(743\) −7.13034e10 1.48063e11i −0.233967 0.485838i 0.750620 0.660735i \(-0.229755\pi\)
−0.984587 + 0.174897i \(0.944041\pi\)
\(744\) 1.48588e11 6.51007e11i 0.484945 2.12468i
\(745\) 7.25411e11 3.49340e11i 2.35483 1.13403i
\(746\) −3.19984e11 + 4.01247e11i −1.03317 + 1.29556i
\(747\) 2.70399e11 + 1.18470e12i 0.868407 + 3.80474i
\(748\) 3.55147e7 + 1.55600e8i 0.000113449 + 0.000497053i
\(749\) 4.74293e10 9.84879e10i 0.150702 0.312936i
\(750\) −3.00185e11 2.39390e11i −0.948734 0.756590i
\(751\) 3.20808e10 2.55836e10i 0.100852 0.0804271i −0.571765 0.820417i \(-0.693741\pi\)
0.672618 + 0.739990i \(0.265170\pi\)
\(752\) 3.59073e10 + 1.72921e10i 0.112282 + 0.0540724i
\(753\) −3.85191e11 + 7.99857e11i −1.19811 + 2.48790i
\(754\) −6.38965e10 8.01237e10i −0.197693 0.247899i