Properties

Label 43.10.g.a.9.13
Level 43
Weight 10
Character 43.9
Analytic conductor 22.147
Analytic rank 0
Dimension 384
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(32\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.13
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.76674 - 8.48522i) q^{2} +(43.2869 + 6.52445i) q^{3} +(87.7205 - 384.328i) q^{4} +(1337.26 + 911.727i) q^{5} +(-237.550 - 411.448i) q^{6} +(-3892.00 + 6741.15i) q^{7} +(-8861.15 + 4267.30i) q^{8} +(-16977.4 - 5236.82i) q^{9} +O(q^{10})\) \(q+(-6.76674 - 8.48522i) q^{2} +(43.2869 + 6.52445i) q^{3} +(87.7205 - 384.328i) q^{4} +(1337.26 + 911.727i) q^{5} +(-237.550 - 411.448i) q^{6} +(-3892.00 + 6741.15i) q^{7} +(-8861.15 + 4267.30i) q^{8} +(-16977.4 - 5236.82i) q^{9} +(-1312.67 - 17516.3i) q^{10} +(-2027.11 - 8881.33i) q^{11} +(6304.68 - 16064.1i) q^{12} +(1495.77 - 19959.6i) q^{13} +(83536.3 - 12591.1i) q^{14} +(51937.2 + 48190.7i) q^{15} +(-85678.4 - 41260.6i) q^{16} +(82146.6 - 56006.6i) q^{17} +(70445.8 + 179493. i) q^{18} +(-994250. + 306685. i) q^{19} +(467707. - 433969. i) q^{20} +(-212455. + 266410. i) q^{21} +(-61643.2 + 77298.1i) q^{22} +(-78744.9 + 73064.5i) q^{23} +(-411413. + 126904. i) q^{24} +(243455. + 620313. i) q^{25} +(-179483. + 122370. i) q^{26} +(-1.47704e6 - 711305. i) q^{27} +(2.24941e6 + 2.08714e6i) q^{28} +(-6.17764e6 + 931129. i) q^{29} +(57463.2 - 766793. i) q^{30} +(-460129. + 1.17239e6i) q^{31} +(1.35018e6 + 5.91553e6i) q^{32} +(-29801.3 - 397671. i) q^{33} +(-1.03109e6 - 318050. i) q^{34} +(-1.13507e7 + 5.46620e6i) q^{35} +(-3.50192e6 + 6.06550e6i) q^{36} +(8.11814e6 + 1.40610e7i) q^{37} +(9.33012e6 + 6.36117e6i) q^{38} +(194973. - 854231. i) q^{39} +(-1.57402e7 - 2.37246e6i) q^{40} +(7.92102e6 + 9.93265e6i) q^{41} +3.69818e6 q^{42} +(-1.61203e7 + 1.55798e7i) q^{43} -3.59117e6 q^{44} +(-1.79285e7 - 2.24817e7i) q^{45} +(1.15282e6 + 173759. i) q^{46} +(1.24215e7 - 5.44220e7i) q^{47} +(-3.43955e6 - 2.34505e6i) q^{48} +(-1.01186e7 - 1.75259e7i) q^{49} +(3.61610e6 - 6.26327e6i) q^{50} +(3.92128e6 - 1.88839e6i) q^{51} +(-7.53984e6 - 2.32573e6i) q^{52} +(2.30750e6 + 3.07914e7i) q^{53} +(3.95916e6 + 1.73462e7i) q^{54} +(5.38659e6 - 1.37248e7i) q^{55} +(5.72109e6 - 7.63426e7i) q^{56} +(-4.50389e7 + 6.78853e6i) q^{57} +(4.97033e7 + 4.61180e7i) q^{58} +(8.49076e7 + 4.08894e7i) q^{59} +(2.30770e7 - 1.57336e7i) q^{60} +(2.22046e7 + 5.65764e7i) q^{61} +(1.30616e7 - 4.02896e6i) q^{62} +(1.01378e8 - 9.40651e7i) q^{63} +(1.07012e7 - 1.34188e7i) q^{64} +(2.01979e7 - 2.53274e7i) q^{65} +(-3.17267e6 + 2.94381e6i) q^{66} +(-9.85013e7 + 3.03836e7i) q^{67} +(-1.43190e7 - 3.64842e7i) q^{68} +(-3.88533e6 + 2.64897e6i) q^{69} +(1.23189e8 + 5.93248e7i) q^{70} +(-2.51663e8 - 2.33509e8i) q^{71} +(1.72786e8 - 2.60433e7i) q^{72} +(3.29112e7 - 4.39170e8i) q^{73} +(6.43777e7 - 1.64032e8i) q^{74} +(6.49121e6 + 2.84398e7i) q^{75} +(3.06519e7 + 4.09021e8i) q^{76} +(6.77599e7 + 2.09012e7i) q^{77} +(-8.56767e6 + 4.12597e6i) q^{78} +(-1.27249e8 + 2.20402e8i) q^{79} +(-7.69557e7 - 1.33291e8i) q^{80} +(2.29641e8 + 1.56567e8i) q^{81} +(3.06812e7 - 1.34423e8i) q^{82} +(-1.86669e8 - 2.81358e7i) q^{83} +(8.37523e7 + 1.05022e8i) q^{84} +1.60914e8 q^{85} +(2.41280e8 + 3.13601e7i) q^{86} -2.73486e8 q^{87} +(5.58618e7 + 7.00485e7i) q^{88} +(2.51907e8 + 3.79689e7i) q^{89} +(-6.94443e7 + 3.04255e8i) q^{90} +(1.28729e8 + 8.77660e7i) q^{91} +(2.11732e7 + 3.66731e7i) q^{92} +(-2.75667e7 + 4.77470e7i) q^{93} +(-5.45836e8 + 2.62861e8i) q^{94} +(-1.60918e9 - 4.96366e8i) q^{95} +(1.98496e7 + 2.64874e8i) q^{96} +(-1.10710e8 - 4.85050e8i) q^{97} +(-8.02412e7 + 2.04451e8i) q^{98} +(-1.20950e7 + 1.61397e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + O(q^{10}) \) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + 6223q^{10} + 180668q^{11} - 270774q^{12} + 11245q^{13} - 271206q^{14} - 835123q^{15} - 6169448q^{16} - 65194q^{17} - 466218q^{18} - 1417919q^{19} + 5877261q^{20} + 3242929q^{21} - 4296822q^{22} - 2544899q^{23} - 6043976q^{24} + 9428207q^{25} - 11482629q^{26} + 20117988q^{27} + 7310292q^{28} - 5289921q^{29} + 23977480q^{30} - 47539873q^{31} + 18747558q^{32} - 68064193q^{33} - 73743233q^{34} - 15006505q^{35} - 203628199q^{36} + 62563960q^{37} + 108303102q^{38} + 70931426q^{39} + 14772713q^{40} - 35636128q^{41} + 29601006q^{42} - 207110915q^{43} + 367809332q^{44} + 122079484q^{45} + 164249271q^{46} + 25529106q^{47} + 191670995q^{48} - 815972056q^{49} - 210640197q^{50} - 392161947q^{51} - 873472922q^{52} + 87568125q^{53} + 627150582q^{54} + 628156420q^{55} + 725546751q^{56} - 402646583q^{57} - 677654606q^{58} + 552834314q^{59} + 990764675q^{60} + 376844345q^{61} + 76529685q^{62} - 505887225q^{63} + 621236102q^{64} + 8885906q^{65} + 895281647q^{66} + 789662056q^{67} - 2265959151q^{68} - 2055955619q^{69} + 3236566615q^{70} + 635670789q^{71} - 1964730073q^{72} + 1333013552q^{73} - 5184014638q^{74} + 720042326q^{75} + 477329288q^{76} + 2282266995q^{77} + 5133145036q^{78} + 2903853142q^{79} + 6779574014q^{80} + 3699743739q^{81} - 1268184088q^{82} - 3074947634q^{83} - 1313116801q^{84} + 1946616146q^{85} - 10088814540q^{86} - 6085081326q^{87} - 8012630430q^{88} - 1632065068q^{89} + 3316166089q^{90} + 5386571784q^{91} + 2280339030q^{92} + 2459095364q^{93} - 5048567488q^{94} - 1597173221q^{95} - 10288936616q^{96} - 4337315288q^{97} - 14989446392q^{98} - 5338096561q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.76674 8.48522i −0.299051 0.374998i 0.609490 0.792793i \(-0.291374\pi\)
−0.908541 + 0.417796i \(0.862803\pi\)
\(3\) 43.2869 + 6.52445i 0.308540 + 0.0465048i 0.301487 0.953470i \(-0.402517\pi\)
0.00705250 + 0.999975i \(0.497755\pi\)
\(4\) 87.7205 384.328i 0.171329 0.750642i
\(5\) 1337.26 + 911.727i 0.956863 + 0.652378i 0.937703 0.347438i \(-0.112948\pi\)
0.0191604 + 0.999816i \(0.493901\pi\)
\(6\) −237.550 411.448i −0.0748297 0.129609i
\(7\) −3892.00 + 6741.15i −0.612677 + 1.06119i 0.378110 + 0.925761i \(0.376574\pi\)
−0.990787 + 0.135428i \(0.956759\pi\)
\(8\) −8861.15 + 4267.30i −0.764865 + 0.368340i
\(9\) −16977.4 5236.82i −0.862539 0.266058i
\(10\) −1312.67 17516.3i −0.0415102 0.553915i
\(11\) −2027.11 8881.33i −0.0417455 0.182899i 0.949757 0.312989i \(-0.101330\pi\)
−0.991502 + 0.130090i \(0.958473\pi\)
\(12\) 6304.68 16064.1i 0.0877702 0.223635i
\(13\) 1495.77 19959.6i 0.0145251 0.193824i −0.985221 0.171288i \(-0.945207\pi\)
0.999746 0.0225355i \(-0.00717389\pi\)
\(14\) 83536.3 12591.1i 0.581165 0.0875965i
\(15\) 51937.2 + 48190.7i 0.264891 + 0.245783i
\(16\) −85678.4 41260.6i −0.326837 0.157397i
\(17\) 82146.6 56006.6i 0.238545 0.162637i −0.438148 0.898903i \(-0.644365\pi\)
0.676692 + 0.736266i \(0.263413\pi\)
\(18\) 70445.8 + 179493.i 0.158172 + 0.403015i
\(19\) −994250. + 306685.i −1.75027 + 0.539886i −0.993503 0.113803i \(-0.963697\pi\)
−0.756763 + 0.653689i \(0.773220\pi\)
\(20\) 467707. 433969.i 0.653641 0.606490i
\(21\) −212455. + 266410.i −0.238386 + 0.298926i
\(22\) −61643.2 + 77298.1i −0.0561026 + 0.0703505i
\(23\) −78744.9 + 73064.5i −0.0586742 + 0.0544417i −0.708965 0.705244i \(-0.750838\pi\)
0.650291 + 0.759685i \(0.274647\pi\)
\(24\) −411413. + 126904.i −0.253121 + 0.0780774i
\(25\) 243455. + 620313.i 0.124649 + 0.317600i
\(26\) −179483. + 122370.i −0.0770272 + 0.0525162i
\(27\) −1.47704e6 711305.i −0.534879 0.257584i
\(28\) 2.24941e6 + 2.08714e6i 0.691603 + 0.641713i
\(29\) −6.17764e6 + 931129.i −1.62193 + 0.244466i −0.896244 0.443562i \(-0.853715\pi\)
−0.725684 + 0.688028i \(0.758477\pi\)
\(30\) 57463.2 766793.i 0.0129522 0.172835i
\(31\) −460129. + 1.17239e6i −0.0894853 + 0.228005i −0.968609 0.248588i \(-0.920033\pi\)
0.879124 + 0.476593i \(0.158129\pi\)
\(32\) 1.35018e6 + 5.91553e6i 0.227624 + 0.997284i
\(33\) −29801.3 397671.i −0.00437444 0.0583729i
\(34\) −1.03109e6 318050.i −0.132325 0.0408169i
\(35\) −1.13507e7 + 5.46620e6i −1.27854 + 0.615715i
\(36\) −3.50192e6 + 6.06550e6i −0.347492 + 0.601874i
\(37\) 8.11814e6 + 1.40610e7i 0.712113 + 1.23342i 0.964063 + 0.265676i \(0.0855950\pi\)
−0.251950 + 0.967740i \(0.581072\pi\)
\(38\) 9.33012e6 + 6.36117e6i 0.725874 + 0.494893i
\(39\) 194973. 854231.i 0.0134953 0.0591268i
\(40\) −1.57402e7 2.37246e6i −0.972168 0.146531i
\(41\) 7.92102e6 + 9.93265e6i 0.437778 + 0.548956i 0.950956 0.309326i \(-0.100103\pi\)
−0.513178 + 0.858282i \(0.671532\pi\)
\(42\) 3.69818e6 0.183386
\(43\) −1.61203e7 + 1.55798e7i −0.719059 + 0.694949i
\(44\) −3.59117e6 −0.144444
\(45\) −1.79285e7 2.24817e7i −0.651761 0.817283i
\(46\) 1.15282e6 + 173759.i 0.0379620 + 0.00572186i
\(47\) 1.24215e7 5.44220e7i 0.371307 1.62680i −0.351808 0.936072i \(-0.614433\pi\)
0.723115 0.690728i \(-0.242710\pi\)
\(48\) −3.43955e6 2.34505e6i −0.0935225 0.0637626i
\(49\) −1.01186e7 1.75259e7i −0.250747 0.434307i
\(50\) 3.61610e6 6.26327e6i 0.0818230 0.141722i
\(51\) 3.92128e6 1.88839e6i 0.0811638 0.0390864i
\(52\) −7.53984e6 2.32573e6i −0.143004 0.0441108i
\(53\) 2.30750e6 + 3.07914e7i 0.0401698 + 0.536029i 0.980597 + 0.196034i \(0.0628063\pi\)
−0.940427 + 0.339995i \(0.889575\pi\)
\(54\) 3.95916e6 + 1.73462e7i 0.0633624 + 0.277609i
\(55\) 5.38659e6 1.37248e7i 0.0793746 0.202243i
\(56\) 5.72109e6 7.63426e7i 0.0777379 1.03734i
\(57\) −4.50389e7 + 6.78853e6i −0.565134 + 0.0851802i
\(58\) 4.97033e7 + 4.61180e7i 0.576713 + 0.535111i
\(59\) 8.49076e7 + 4.08894e7i 0.912247 + 0.439315i 0.830297 0.557321i \(-0.188171\pi\)
0.0819504 + 0.996636i \(0.473885\pi\)
\(60\) 2.30770e7 1.57336e7i 0.229879 0.156729i
\(61\) 2.22046e7 + 5.65764e7i 0.205333 + 0.523179i 0.996029 0.0890292i \(-0.0283765\pi\)
−0.790696 + 0.612209i \(0.790281\pi\)
\(62\) 1.30616e7 4.02896e6i 0.112262 0.0346282i
\(63\) 1.01378e8 9.40651e7i 0.810796 0.752309i
\(64\) 1.07012e7 1.34188e7i 0.0797298 0.0999780i
\(65\) 2.01979e7 2.53274e7i 0.140345 0.175987i
\(66\) −3.17267e6 + 2.94381e6i −0.0205815 + 0.0190969i
\(67\) −9.85013e7 + 3.03836e7i −0.597180 + 0.184206i −0.578586 0.815621i \(-0.696395\pi\)
−0.0185943 + 0.999827i \(0.505919\pi\)
\(68\) −1.43190e7 3.64842e7i −0.0812124 0.206926i
\(69\) −3.88533e6 + 2.64897e6i −0.0206351 + 0.0140688i
\(70\) 1.23189e8 + 5.93248e7i 0.613241 + 0.295321i
\(71\) −2.51663e8 2.33509e8i −1.17532 1.09054i −0.994251 0.107071i \(-0.965853\pi\)
−0.181072 0.983470i \(-0.557957\pi\)
\(72\) 1.72786e8 2.60433e7i 0.757726 0.114209i
\(73\) 3.29112e7 4.39170e8i 0.135641 1.81000i −0.350971 0.936386i \(-0.614148\pi\)
0.486612 0.873618i \(-0.338233\pi\)
\(74\) 6.43777e7 1.64032e8i 0.249570 0.635894i
\(75\) 6.49121e6 + 2.84398e7i 0.0236892 + 0.103789i
\(76\) 3.06519e7 + 4.09021e8i 0.105389 + 1.40632i
\(77\) 6.77599e7 + 2.09012e7i 0.219667 + 0.0677582i
\(78\) −8.56767e6 + 4.12597e6i −0.0262082 + 0.0126212i
\(79\) −1.27249e8 + 2.20402e8i −0.367565 + 0.636640i −0.989184 0.146679i \(-0.953142\pi\)
0.621620 + 0.783319i \(0.286475\pi\)
\(80\) −7.69557e7 1.33291e8i −0.210056 0.363829i
\(81\) 2.29641e8 + 1.56567e8i 0.592744 + 0.404126i
\(82\) 3.06812e7 1.34423e8i 0.0749395 0.328331i
\(83\) −1.86669e8 2.81358e7i −0.431738 0.0650740i −0.0704214 0.997517i \(-0.522434\pi\)
−0.361316 + 0.932443i \(0.617672\pi\)
\(84\) 8.37523e7 + 1.05022e8i 0.183544 + 0.230157i
\(85\) 1.60914e8 0.334355
\(86\) 2.41280e8 + 3.13601e7i 0.475639 + 0.0618208i
\(87\) −2.73486e8 −0.511798
\(88\) 5.58618e7 + 7.00485e7i 0.0992986 + 0.124517i
\(89\) 2.51907e8 + 3.79689e7i 0.425584 + 0.0641465i 0.358343 0.933590i \(-0.383342\pi\)
0.0672419 + 0.997737i \(0.478580\pi\)
\(90\) −6.94443e7 + 3.04255e8i −0.111569 + 0.488818i
\(91\) 1.28729e8 + 8.77660e7i 0.196784 + 0.134165i
\(92\) 2.11732e7 + 3.66731e7i 0.0308136 + 0.0533707i
\(93\) −2.75667e7 + 4.77470e7i −0.0382131 + 0.0661870i
\(94\) −5.45836e8 + 2.62861e8i −0.721085 + 0.347256i
\(95\) −1.60918e9 4.96366e8i −2.02698 0.625239i
\(96\) 1.98496e7 + 2.64874e8i 0.0238523 + 0.318287i
\(97\) −1.10710e8 4.85050e8i −0.126973 0.556306i −0.997893 0.0648811i \(-0.979333\pi\)
0.870920 0.491425i \(-0.163524\pi\)
\(98\) −8.02412e7 + 2.04451e8i −0.0878779 + 0.223909i
\(99\) −1.20950e7 + 1.61397e8i −0.0126546 + 0.168864i
\(100\) 2.59760e8 3.91525e7i 0.259760 0.0391525i
\(101\) −8.04259e7 7.46244e7i −0.0769042 0.0713567i 0.640784 0.767721i \(-0.278609\pi\)
−0.717688 + 0.696364i \(0.754800\pi\)
\(102\) −4.25577e7 2.04947e7i −0.0389294 0.0187474i
\(103\) 8.35690e8 5.69764e8i 0.731607 0.498801i −0.139299 0.990250i \(-0.544485\pi\)
0.870906 + 0.491449i \(0.163533\pi\)
\(104\) 7.19195e7 + 1.83248e8i 0.0602833 + 0.153599i
\(105\) −5.27000e8 + 1.62558e8i −0.423115 + 0.130514i
\(106\) 2.45658e8 2.27937e8i 0.188997 0.175363i
\(107\) −1.09338e9 + 1.37105e9i −0.806386 + 1.01118i 0.193164 + 0.981167i \(0.438125\pi\)
−0.999550 + 0.0300095i \(0.990446\pi\)
\(108\) −4.02941e8 + 5.05273e8i −0.284994 + 0.357371i
\(109\) −8.48231e8 + 7.87043e8i −0.575565 + 0.534047i −0.913349 0.407177i \(-0.866513\pi\)
0.337784 + 0.941224i \(0.390323\pi\)
\(110\) −1.52908e8 + 4.71657e7i −0.0995777 + 0.0307156i
\(111\) 2.59669e8 + 6.61625e8i 0.162355 + 0.413674i
\(112\) 6.11604e8 4.16985e8i 0.367273 0.250403i
\(113\) −3.37119e8 1.62348e8i −0.194505 0.0936686i 0.334096 0.942539i \(-0.391569\pi\)
−0.528601 + 0.848870i \(0.677283\pi\)
\(114\) 3.62369e8 + 3.36229e8i 0.200946 + 0.186451i
\(115\) −1.71917e8 + 2.59123e7i −0.0916597 + 0.0138155i
\(116\) −1.84046e8 + 2.45592e9i −0.0943768 + 1.25937i
\(117\) −1.29919e8 + 3.31028e8i −0.0640968 + 0.163316i
\(118\) −2.27593e8 9.97148e8i −0.108066 0.473468i
\(119\) 5.78339e7 + 7.71740e8i 0.0264376 + 0.352785i
\(120\) −6.65867e8 2.05393e8i −0.293138 0.0904211i
\(121\) 2.04967e9 9.87068e8i 0.869260 0.418613i
\(122\) 3.29810e8 5.71248e8i 0.134786 0.233456i
\(123\) 2.78071e8 + 4.81634e8i 0.109543 + 0.189733i
\(124\) 4.10220e8 + 2.79683e8i 0.155818 + 0.106235i
\(125\) 4.63419e8 2.03037e9i 0.169777 0.743841i
\(126\) −1.48416e9 2.23701e8i −0.524583 0.0790681i
\(127\) −1.93297e8 2.42387e8i −0.0659338 0.0826783i 0.747771 0.663957i \(-0.231124\pi\)
−0.813705 + 0.581278i \(0.802553\pi\)
\(128\) 2.92037e9 0.961597
\(129\) −7.99447e8 + 5.69223e8i −0.254177 + 0.180979i
\(130\) −3.51583e8 −0.107965
\(131\) 2.05009e9 + 2.57073e9i 0.608207 + 0.762668i 0.986632 0.162964i \(-0.0521055\pi\)
−0.378425 + 0.925632i \(0.623534\pi\)
\(132\) −1.55451e8 2.34304e7i −0.0445666 0.00671733i
\(133\) 1.80221e9 7.89600e9i 0.499428 2.18814i
\(134\) 9.24345e8 + 6.30208e8i 0.247664 + 0.168854i
\(135\) −1.32667e9 2.29785e9i −0.343764 0.595416i
\(136\) −4.88916e8 + 8.46827e8i −0.122549 + 0.212261i
\(137\) 2.60164e9 1.25288e9i 0.630964 0.303856i −0.0909329 0.995857i \(-0.528985\pi\)
0.721897 + 0.692001i \(0.243271\pi\)
\(138\) 4.87681e7 + 1.50430e7i 0.0114467 + 0.00353084i
\(139\) −4.04401e8 5.39636e9i −0.0918852 1.22612i −0.832435 0.554122i \(-0.813054\pi\)
0.740550 0.672001i \(-0.234565\pi\)
\(140\) 1.10513e9 + 4.84189e9i 0.243129 + 1.06522i
\(141\) 8.92761e8 2.27472e9i 0.190217 0.484665i
\(142\) −2.78440e8 + 3.71552e9i −0.0574690 + 0.766870i
\(143\) −1.80300e8 + 2.71759e7i −0.0360565 + 0.00543464i
\(144\) 1.23852e9 + 1.14918e9i 0.240033 + 0.222718i
\(145\) −9.11003e9 4.38716e9i −1.71145 0.824190i
\(146\) −3.94916e9 + 2.69249e9i −0.719311 + 0.490418i
\(147\) −3.23654e8 8.24658e8i −0.0571681 0.145662i
\(148\) 6.11618e9 1.88659e9i 1.04786 0.323222i
\(149\) −1.89085e9 + 1.75446e9i −0.314282 + 0.291611i −0.821502 0.570205i \(-0.806864\pi\)
0.507220 + 0.861817i \(0.330673\pi\)
\(150\) 1.97394e8 2.47524e8i 0.0318364 0.0399215i
\(151\) 4.35126e9 5.45631e9i 0.681113 0.854088i −0.314344 0.949309i \(-0.601784\pi\)
0.995456 + 0.0952212i \(0.0303558\pi\)
\(152\) 7.50147e9 6.96035e9i 1.13986 1.05763i
\(153\) −1.68793e9 + 5.20657e8i −0.249025 + 0.0768140i
\(154\) −2.81163e8 7.16390e8i −0.0402823 0.102638i
\(155\) −1.68421e9 + 1.14827e9i −0.234371 + 0.159791i
\(156\) −3.11202e8 1.49867e8i −0.0420709 0.0202603i
\(157\) 6.42160e8 + 5.95838e8i 0.0843519 + 0.0782671i 0.721222 0.692704i \(-0.243581\pi\)
−0.636870 + 0.770971i \(0.719771\pi\)
\(158\) 2.73123e9 4.11666e8i 0.348659 0.0525519i
\(159\) −1.01013e8 + 1.34792e9i −0.0125340 + 0.167254i
\(160\) −3.58781e9 + 9.14159e9i −0.432802 + 1.10276i
\(161\) −1.86064e8 8.15198e8i −0.0218245 0.0956195i
\(162\) −2.25419e8 3.00801e9i −0.0257142 0.343132i
\(163\) −2.52046e9 7.77458e8i −0.279663 0.0862647i 0.151751 0.988419i \(-0.451509\pi\)
−0.431414 + 0.902154i \(0.641985\pi\)
\(164\) 4.51224e9 2.17298e9i 0.487073 0.234562i
\(165\) 3.22715e8 5.58959e8i 0.0338955 0.0587087i
\(166\) 1.02440e9 + 1.77431e9i 0.104709 + 0.181361i
\(167\) −2.88874e9 1.96951e9i −0.287398 0.195945i 0.411036 0.911619i \(-0.365167\pi\)
−0.698434 + 0.715674i \(0.746119\pi\)
\(168\) 7.45742e8 3.26731e9i 0.0722265 0.316445i
\(169\) 1.00899e10 + 1.52081e9i 0.951474 + 0.143412i
\(170\) −1.08886e9 1.36539e9i −0.0999891 0.125382i
\(171\) 1.84858e10 1.65331
\(172\) 4.57367e9 + 7.56215e9i 0.398461 + 0.658821i
\(173\) −1.81493e10 −1.54046 −0.770232 0.637763i \(-0.779860\pi\)
−0.770232 + 0.637763i \(0.779860\pi\)
\(174\) 1.85061e9 + 2.32059e9i 0.153053 + 0.191923i
\(175\) −5.12915e9 7.73094e8i −0.413403 0.0623105i
\(176\) −1.92769e8 + 8.44578e8i −0.0151437 + 0.0663488i
\(177\) 3.40861e9 + 2.32395e9i 0.261034 + 0.177970i
\(178\) −1.38242e9 2.39442e9i −0.103216 0.178776i
\(179\) −1.10888e10 + 1.92064e10i −0.807322 + 1.39832i 0.107390 + 0.994217i \(0.465751\pi\)
−0.914712 + 0.404106i \(0.867583\pi\)
\(180\) −1.02130e10 + 4.91834e9i −0.725152 + 0.349215i
\(181\) −2.14401e10 6.61339e9i −1.48482 0.458006i −0.556833 0.830624i \(-0.687984\pi\)
−0.927984 + 0.372619i \(0.878460\pi\)
\(182\) −1.26362e8 1.68619e9i −0.00853681 0.113916i
\(183\) 5.92038e8 + 2.59389e9i 0.0390229 + 0.170971i
\(184\) 3.85981e8 9.83464e8i 0.0248248 0.0632526i
\(185\) −1.96377e9 + 2.62047e10i −0.123259 + 1.64478i
\(186\) 5.91681e8 8.91815e7i 0.0362476 0.00546345i
\(187\) −6.63933e8 6.16040e8i −0.0397043 0.0368402i
\(188\) −1.98263e10 9.54785e9i −1.15753 0.557436i
\(189\) 1.05437e10 7.18854e9i 0.601053 0.409791i
\(190\) 6.67713e9 + 1.70130e10i 0.371705 + 0.947089i
\(191\) −6.84416e9 + 2.11114e9i −0.372109 + 0.114780i −0.475169 0.879895i \(-0.657613\pi\)
0.103060 + 0.994675i \(0.467137\pi\)
\(192\) 5.50770e8 5.11040e8i 0.0292493 0.0271393i
\(193\) −1.08590e10 + 1.36168e10i −0.563356 + 0.706426i −0.979174 0.203022i \(-0.934924\pi\)
0.415818 + 0.909448i \(0.363495\pi\)
\(194\) −3.36662e9 + 4.22161e9i −0.170642 + 0.213978i
\(195\) 1.03955e9 9.64564e8i 0.0514862 0.0477722i
\(196\) −7.62329e9 + 2.35147e9i −0.368969 + 0.113812i
\(197\) 3.92179e9 + 9.99256e9i 0.185518 + 0.472692i 0.993129 0.117023i \(-0.0373351\pi\)
−0.807611 + 0.589715i \(0.799240\pi\)
\(198\) 1.45134e9 9.89503e8i 0.0671080 0.0457535i
\(199\) 2.00995e10 + 9.67941e9i 0.908545 + 0.437532i 0.828968 0.559297i \(-0.188929\pi\)
0.0795773 + 0.996829i \(0.474643\pi\)
\(200\) −4.80435e9 4.45779e9i −0.212324 0.197008i
\(201\) −4.46205e9 + 6.72546e8i −0.192820 + 0.0290630i
\(202\) −8.89830e7 + 1.18740e9i −0.00376033 + 0.0501781i
\(203\) 1.77665e10 4.52683e10i 0.734294 1.87095i
\(204\) −3.81785e8 1.67271e9i −0.0154342 0.0676216i
\(205\) 1.53659e9 + 2.05043e10i 0.0607665 + 0.810873i
\(206\) −1.04895e10 3.23557e9i −0.405837 0.125184i
\(207\) 1.71950e9 8.28070e8i 0.0650934 0.0313473i
\(208\) −9.51699e8 + 1.64839e9i −0.0352545 + 0.0610626i
\(209\) 4.73923e9 + 8.20858e9i 0.171810 + 0.297584i
\(210\) 4.94541e9 + 3.37173e9i 0.175475 + 0.119637i
\(211\) 1.20838e10 5.29425e10i 0.419693 1.83879i −0.114488 0.993425i \(-0.536523\pi\)
0.534181 0.845370i \(-0.320620\pi\)
\(212\) 1.20364e10 + 1.81420e9i 0.409248 + 0.0616842i
\(213\) −9.37020e9 1.17499e10i −0.311918 0.391133i
\(214\) 1.90323e10 0.620339
\(215\) −3.57615e10 + 6.13685e9i −1.14141 + 0.195872i
\(216\) 1.61236e10 0.503989
\(217\) −6.11242e9 7.66473e9i −0.187130 0.234654i
\(218\) 1.24180e10 + 1.87171e9i 0.372389 + 0.0561287i
\(219\) 4.28997e9 1.87956e10i 0.126025 0.552150i
\(220\) −4.80232e9 3.27416e9i −0.138213 0.0942320i
\(221\) −9.94998e8 1.72339e9i −0.0280580 0.0485979i
\(222\) 3.85693e9 6.68039e9i 0.106574 0.184592i
\(223\) −5.70780e9 + 2.74873e9i −0.154560 + 0.0744321i −0.509565 0.860432i \(-0.670194\pi\)
0.355005 + 0.934865i \(0.384479\pi\)
\(224\) −4.51324e10 1.39215e10i −1.19777 0.369462i
\(225\) −8.84752e8 1.18062e10i −0.0230144 0.307106i
\(226\) 9.03638e8 + 3.95910e9i 0.0230413 + 0.100950i
\(227\) −1.62356e10 + 4.13677e10i −0.405838 + 1.03406i 0.571166 + 0.820834i \(0.306491\pi\)
−0.977004 + 0.213223i \(0.931604\pi\)
\(228\) −1.34181e9 + 1.79052e10i −0.0328840 + 0.438807i
\(229\) 1.04268e9 1.57158e8i 0.0250547 0.00377639i −0.136503 0.990640i \(-0.543586\pi\)
0.161558 + 0.986863i \(0.448348\pi\)
\(230\) 1.38319e9 + 1.28341e9i 0.0325917 + 0.0302406i
\(231\) 2.79675e9 + 1.34684e9i 0.0646248 + 0.0311217i
\(232\) 5.07676e10 3.46127e10i 1.15051 0.784404i
\(233\) 2.44364e10 + 6.22630e10i 0.543170 + 1.38398i 0.894224 + 0.447620i \(0.147728\pi\)
−0.351053 + 0.936355i \(0.614176\pi\)
\(234\) 3.68798e9 1.13759e9i 0.0804113 0.0248036i
\(235\) 6.62287e10 6.14512e10i 1.41658 1.31439i
\(236\) 2.31631e10 2.90456e10i 0.486063 0.609503i
\(237\) −6.94623e9 + 8.71030e9i −0.143015 + 0.179335i
\(238\) 6.15704e9 5.71290e9i 0.124387 0.115414i
\(239\) −7.00802e10 + 2.16169e10i −1.38933 + 0.428551i −0.897066 0.441896i \(-0.854306\pi\)
−0.492262 + 0.870447i \(0.663830\pi\)
\(240\) −2.46152e9 6.27186e9i −0.0478909 0.122024i
\(241\) 3.22284e10 2.19730e10i 0.615407 0.419577i −0.215095 0.976593i \(-0.569006\pi\)
0.830502 + 0.557016i \(0.188054\pi\)
\(242\) −2.22451e10 1.07127e10i −0.416931 0.200784i
\(243\) 3.25732e10 + 3.02235e10i 0.599283 + 0.556053i
\(244\) 2.36917e10 3.57095e9i 0.427900 0.0644955i
\(245\) 2.44767e9 3.26619e10i 0.0434016 0.579154i
\(246\) 2.20513e9 5.61859e9i 0.0383908 0.0978181i
\(247\) 4.63416e9 + 2.03036e10i 0.0792199 + 0.347085i
\(248\) −9.25671e8 1.23522e10i −0.0155390 0.207354i
\(249\) −7.89673e9 2.43582e9i −0.130182 0.0401558i
\(250\) −2.03640e10 + 9.80678e9i −0.329711 + 0.158780i
\(251\) −7.37252e8 + 1.27696e9i −0.0117242 + 0.0203070i −0.871828 0.489812i \(-0.837065\pi\)
0.860104 + 0.510119i \(0.170399\pi\)
\(252\) −2.72590e10 4.72139e10i −0.425801 0.737509i
\(253\) 8.08535e8 + 5.51250e8i 0.0124067 + 0.00845875i
\(254\) −7.48715e8 + 3.28033e9i −0.0112866 + 0.0494500i
\(255\) 6.96546e9 + 1.04987e9i 0.103162 + 0.0155491i
\(256\) −2.52404e10 3.16504e10i −0.367296 0.460574i
\(257\) 9.78984e10 1.39983 0.699917 0.714224i \(-0.253220\pi\)
0.699917 + 0.714224i \(0.253220\pi\)
\(258\) 1.02396e10 + 2.93170e9i 0.143878 + 0.0411937i
\(259\) −1.26383e11 −1.74518
\(260\) −7.96227e9 9.98437e9i −0.108058 0.135500i
\(261\) 1.09756e11 + 1.65431e10i 1.46402 + 0.220665i
\(262\) 7.94080e9 3.47909e10i 0.104114 0.456152i
\(263\) 3.29408e10 + 2.24587e10i 0.424555 + 0.289456i 0.756688 0.653776i \(-0.226816\pi\)
−0.332134 + 0.943232i \(0.607768\pi\)
\(264\) 1.96106e9 + 3.39665e9i 0.0248469 + 0.0430361i
\(265\) −2.49876e10 + 4.32798e10i −0.311257 + 0.539112i
\(266\) −7.91944e10 + 3.81380e10i −0.969901 + 0.467080i
\(267\) 1.06566e10 + 3.28711e9i 0.128327 + 0.0395835i
\(268\) 3.03671e9 + 4.05221e10i 0.0359581 + 0.479828i
\(269\) −8.86926e8 3.88588e9i −0.0103277 0.0452485i 0.969502 0.245085i \(-0.0788160\pi\)
−0.979829 + 0.199837i \(0.935959\pi\)
\(270\) −1.05206e10 + 2.68061e10i −0.120477 + 0.306970i
\(271\) −7.05942e9 + 9.42014e10i −0.0795074 + 1.06095i 0.804646 + 0.593755i \(0.202355\pi\)
−0.884153 + 0.467197i \(0.845264\pi\)
\(272\) −9.34905e9 + 1.40914e9i −0.103564 + 0.0156097i
\(273\) 4.99966e9 + 4.63901e9i 0.0544764 + 0.0505467i
\(274\) −2.82356e10 1.35976e10i −0.302635 0.145742i
\(275\) 5.01570e9 3.41964e9i 0.0528852 0.0360565i
\(276\) 6.77252e8 + 1.72561e9i 0.00702521 + 0.0179000i
\(277\) 1.55194e11 4.78710e10i 1.58386 0.488555i 0.626977 0.779038i \(-0.284292\pi\)
0.956880 + 0.290483i \(0.0938159\pi\)
\(278\) −4.30528e10 + 3.99472e10i −0.432315 + 0.401130i
\(279\) 1.39514e10 1.74944e10i 0.137847 0.172855i
\(280\) 7.72542e10 9.68737e10i 0.751122 0.941878i
\(281\) 7.36894e10 6.83738e10i 0.705061 0.654201i −0.243826 0.969819i \(-0.578402\pi\)
0.948886 + 0.315618i \(0.102212\pi\)
\(282\) −2.53426e10 + 7.81715e9i −0.238632 + 0.0736084i
\(283\) −1.32870e10 3.38547e10i −0.123137 0.313747i 0.855992 0.516989i \(-0.172947\pi\)
−0.979128 + 0.203242i \(0.934852\pi\)
\(284\) −1.11820e11 + 7.62378e10i −1.01997 + 0.695405i
\(285\) −6.64179e10 3.19852e10i −0.596325 0.287175i
\(286\) 1.45064e9 + 1.34599e9i 0.0128207 + 0.0118959i
\(287\) −9.77861e10 + 1.47389e10i −0.850763 + 0.128232i
\(288\) 8.05607e9 1.07501e11i 0.0690013 0.920758i
\(289\) −3.97137e10 + 1.01189e11i −0.334888 + 0.853281i
\(290\) 2.44192e10 + 1.06987e11i 0.202740 + 0.888263i
\(291\) −1.62759e9 2.17186e10i −0.0133053 0.177547i
\(292\) −1.65898e11 5.11729e10i −1.33543 0.411924i
\(293\) −1.98975e11 + 9.58215e10i −1.57723 + 0.759554i −0.998435 0.0559194i \(-0.982191\pi\)
−0.578795 + 0.815473i \(0.696477\pi\)
\(294\) −4.80732e9 + 8.32653e9i −0.0375267 + 0.0649981i
\(295\) 7.62634e10 + 1.32092e11i 0.586296 + 1.01550i
\(296\) −1.31939e11 8.99543e10i −0.998987 0.681097i
\(297\) −3.32322e9 + 1.45600e10i −0.0247831 + 0.108582i
\(298\) 2.76819e10 + 4.17237e9i 0.203340 + 0.0306485i
\(299\) 1.34056e9 + 1.68100e9i 0.00969984 + 0.0121632i
\(300\) 1.14996e10 0.0819670
\(301\) −4.22852e10 1.69306e11i −0.296920 1.18884i
\(302\) −7.57419e10 −0.523968
\(303\) −2.99451e9 3.75499e9i −0.0204096 0.0255928i
\(304\) 9.78397e10 + 1.47470e10i 0.657028 + 0.0990311i
\(305\) −2.18889e10 + 9.59016e10i −0.144836 + 0.634566i
\(306\) 1.58397e10 + 1.07993e10i 0.103276 + 0.0704124i
\(307\) 1.11121e11 + 1.92467e11i 0.713958 + 1.23661i 0.963360 + 0.268211i \(0.0864325\pi\)
−0.249402 + 0.968400i \(0.580234\pi\)
\(308\) 1.39768e10 2.42086e10i 0.0884974 0.153282i
\(309\) 3.98918e10 1.92109e10i 0.248926 0.119877i
\(310\) 2.11400e10 + 6.52082e9i 0.130010 + 0.0401028i
\(311\) 2.09081e9 + 2.78999e10i 0.0126734 + 0.169115i 0.999949 + 0.0100964i \(0.00321384\pi\)
−0.987276 + 0.159018i \(0.949167\pi\)
\(312\) 1.91758e9 + 8.40147e9i 0.0114567 + 0.0501949i
\(313\) 2.43198e9 6.19659e9i 0.0143222 0.0364925i −0.923534 0.383517i \(-0.874713\pi\)
0.937856 + 0.347025i \(0.112808\pi\)
\(314\) 7.10484e8 9.48075e9i 0.00412450 0.0550376i
\(315\) 2.21330e11 3.33602e10i 1.26661 0.190911i
\(316\) 7.35445e10 + 6.82393e10i 0.414914 + 0.384984i
\(317\) −1.36584e11 6.57752e10i −0.759682 0.365844i 0.0135984 0.999908i \(-0.495671\pi\)
−0.773281 + 0.634064i \(0.781386\pi\)
\(318\) 1.21209e10 8.26391e9i 0.0664682 0.0453172i
\(319\) 2.07924e10 + 5.29782e10i 0.112421 + 0.286444i
\(320\) 2.65445e10 8.18789e9i 0.141514 0.0436513i
\(321\) −5.62743e10 + 5.22149e10i −0.295827 + 0.274487i
\(322\) −5.65809e9 + 7.09502e9i −0.0293304 + 0.0367792i
\(323\) −6.44978e10 + 8.08777e10i −0.329711 + 0.413445i
\(324\) 8.03173e10 7.45236e10i 0.404908 0.375700i
\(325\) 1.27454e10 3.93142e9i 0.0633690 0.0195467i
\(326\) 1.04584e10 + 2.66475e10i 0.0512844 + 0.130670i
\(327\) −4.18523e10 + 2.85344e10i −0.202420 + 0.138008i
\(328\) −1.12575e11 5.42132e10i −0.537044 0.258627i
\(329\) 3.18522e11 + 2.95546e11i 1.49885 + 1.39073i
\(330\) −6.92663e9 + 1.04402e9i −0.0321521 + 0.00484615i
\(331\) −2.15668e10 + 2.87789e11i −0.0987551 + 1.31780i 0.699134 + 0.714991i \(0.253569\pi\)
−0.797889 + 0.602804i \(0.794050\pi\)
\(332\) −2.71880e10 + 6.92740e10i −0.122816 + 0.312931i
\(333\) −6.41895e10 2.81232e11i −0.286065 1.25333i
\(334\) 2.83562e9 + 3.78387e10i 0.0124678 + 0.166371i
\(335\) −1.59423e11 4.91755e10i −0.691592 0.213328i
\(336\) 2.91950e10 1.40596e10i 0.124963 0.0601791i
\(337\) 1.37938e11 2.38915e11i 0.582571 1.00904i −0.412603 0.910911i \(-0.635380\pi\)
0.995174 0.0981309i \(-0.0312864\pi\)
\(338\) −5.53714e10 9.59061e10i −0.230760 0.399688i
\(339\) −1.35336e10 9.22706e9i −0.0556564 0.0379459i
\(340\) 1.41154e10 6.18438e10i 0.0572848 0.250981i
\(341\) 1.13451e10 + 1.71000e9i 0.0454374 + 0.00684859i
\(342\) −1.25089e11 1.56856e11i −0.494424 0.619989i
\(343\) −1.56587e11 −0.610846
\(344\) 7.63607e10 2.06845e11i 0.294006 0.796400i
\(345\) −7.61082e9 −0.0289231
\(346\) 1.22811e11 + 1.54001e11i 0.460677 + 0.577670i
\(347\) −6.85450e9 1.03315e9i −0.0253801 0.00382543i 0.136340 0.990662i \(-0.456466\pi\)
−0.161720 + 0.986837i \(0.551704\pi\)
\(348\) −2.39903e10 + 1.05108e11i −0.0876858 + 0.384177i
\(349\) −1.26558e11 8.62857e10i −0.456641 0.311333i 0.313064 0.949732i \(-0.398644\pi\)
−0.769705 + 0.638399i \(0.779597\pi\)
\(350\) 2.81477e10 + 4.87533e10i 0.100262 + 0.173659i
\(351\) −1.64067e10 + 2.84172e10i −0.0576951 + 0.0999308i
\(352\) 4.98009e10 2.39828e10i 0.172900 0.0832642i
\(353\) 1.17990e11 + 3.63950e10i 0.404443 + 0.124754i 0.490301 0.871553i \(-0.336887\pi\)
−0.0858577 + 0.996307i \(0.527363\pi\)
\(354\) −3.34593e9 4.46484e10i −0.0113241 0.151109i
\(355\) −1.23642e11 5.41710e11i −0.413179 1.81025i
\(356\) 3.66900e10 9.34845e10i 0.121066 0.308471i
\(357\) −2.53173e9 + 3.37836e10i −0.00824917 + 0.110077i
\(358\) 2.38006e11 3.58736e10i 0.765798 0.115425i
\(359\) −2.23880e11 2.07730e11i −0.711360 0.660046i 0.239063 0.971004i \(-0.423160\pi\)
−0.950424 + 0.310958i \(0.899350\pi\)
\(360\) 2.54804e11 + 1.22707e11i 0.799547 + 0.385042i
\(361\) 6.27859e11 4.28067e11i 1.94572 1.32657i
\(362\) 8.89634e10 + 2.26675e11i 0.272285 + 0.693770i
\(363\) 9.51639e10 2.93542e10i 0.287668 0.0887340i
\(364\) 4.50232e10 4.17754e10i 0.134425 0.124728i
\(365\) 4.44414e11 5.57277e11i 1.31060 1.64344i
\(366\) 1.80036e10 2.25757e10i 0.0524437 0.0657623i
\(367\) −9.54341e10 + 8.85499e10i −0.274604 + 0.254795i −0.805437 0.592681i \(-0.798069\pi\)
0.530834 + 0.847476i \(0.321879\pi\)
\(368\) 9.76142e9 3.01100e9i 0.0277458 0.00855846i
\(369\) −8.24625e10 2.10111e11i −0.231546 0.589970i
\(370\) 2.35642e11 1.60658e11i 0.653648 0.445650i
\(371\) −2.16550e11 1.04285e11i −0.593439 0.285785i
\(372\) 1.59324e10 + 1.47831e10i 0.0431357 + 0.0400241i
\(373\) −4.00814e11 + 6.04130e10i −1.07214 + 0.161600i −0.661312 0.750111i \(-0.730000\pi\)
−0.410832 + 0.911711i \(0.634762\pi\)
\(374\) −7.34574e8 + 9.80221e9i −0.00194139 + 0.0259061i
\(375\) 3.33070e10 8.48649e10i 0.0869751 0.221609i
\(376\) 1.22167e11 + 5.35248e11i 0.315216 + 1.38105i
\(377\) 9.34468e9 + 1.24696e11i 0.0238247 + 0.317919i
\(378\) −1.32343e11 4.08223e10i −0.333416 0.102845i
\(379\) −5.47272e11 + 2.63553e11i −1.36247 + 0.656131i −0.965186 0.261564i \(-0.915762\pi\)
−0.397284 + 0.917696i \(0.630047\pi\)
\(380\) −3.31926e11 + 5.74912e11i −0.816610 + 1.41441i
\(381\) −6.78578e9 1.17533e10i −0.0164982 0.0285758i
\(382\) 6.42262e10 + 4.37887e10i 0.154322 + 0.105215i
\(383\) −9.01012e10 + 3.94759e11i −0.213962 + 0.937427i 0.747883 + 0.663831i \(0.231070\pi\)
−0.961845 + 0.273597i \(0.911787\pi\)
\(384\) 1.26414e11 + 1.90538e10i 0.296691 + 0.0447189i
\(385\) 7.15562e10 + 8.97287e10i 0.165987 + 0.208141i
\(386\) 1.89022e11 0.433380
\(387\) 3.55268e11 1.80084e11i 0.805113 0.408109i
\(388\) −1.96130e11 −0.439341
\(389\) −1.85524e11 2.32639e11i −0.410796 0.515121i 0.532791 0.846247i \(-0.321143\pi\)
−0.943587 + 0.331125i \(0.892572\pi\)
\(390\) −1.52189e10 2.29388e9i −0.0333114 0.00502089i
\(391\) −2.37652e9 + 1.04122e10i −0.00514218 + 0.0225293i
\(392\) 1.64450e11 + 1.12120e11i 0.351760 + 0.239826i
\(393\) 7.19694e10 + 1.24655e11i 0.152188 + 0.263598i
\(394\) 5.82514e10 1.00894e11i 0.121779 0.210928i
\(395\) −3.71112e11 + 1.78718e11i −0.767040 + 0.369387i
\(396\) 6.09685e10 + 1.88063e10i 0.124588 + 0.0384304i
\(397\) 8.01936e9 + 1.07011e11i 0.0162025 + 0.216208i 0.999428 + 0.0338141i \(0.0107654\pi\)
−0.983226 + 0.182393i \(0.941616\pi\)
\(398\) −5.38761e10 2.36047e11i −0.107627 0.471546i
\(399\) 1.29529e11 3.30035e11i 0.255852 0.651901i
\(400\) 4.73562e9 6.31925e10i 0.00924927 0.123423i
\(401\) −4.61011e11 + 6.94862e10i −0.890351 + 0.134199i −0.578259 0.815853i \(-0.696268\pi\)
−0.312092 + 0.950052i \(0.601030\pi\)
\(402\) 3.59003e10 + 3.33106e10i 0.0685615 + 0.0636158i
\(403\) 2.27122e10 + 1.09376e10i 0.0428930 + 0.0206562i
\(404\) −3.57353e10 + 2.43639e10i −0.0667392 + 0.0455020i
\(405\) 1.64343e11 + 4.18740e11i 0.303532 + 0.773387i
\(406\) −5.04333e11 + 1.55566e11i −0.921193 + 0.284150i
\(407\) 1.08424e11 1.00603e11i 0.195863 0.181734i
\(408\) −2.66887e10 + 3.34666e10i −0.0476823 + 0.0597917i
\(409\) 3.76407e11 4.72000e11i 0.665125 0.834040i −0.328766 0.944412i \(-0.606633\pi\)
0.993890 + 0.110371i \(0.0352040\pi\)
\(410\) 1.63586e11 1.51786e11i 0.285903 0.265279i
\(411\) 1.20791e11 3.72592e10i 0.208808 0.0644088i
\(412\) −1.45669e11 3.71159e11i −0.249075 0.634634i
\(413\) −6.06102e11 + 4.13233e11i −1.02511 + 0.698908i
\(414\) −1.86618e10 8.98705e9i −0.0312214 0.0150354i
\(415\) −2.23972e11 2.07815e11i −0.370661 0.343923i
\(416\) 1.20091e11 1.81009e10i 0.196604 0.0296332i
\(417\) 1.77030e10 2.36230e11i 0.0286705 0.382581i
\(418\) 3.75825e10 9.57587e10i 0.0602133 0.153421i
\(419\) 9.22106e10 + 4.04001e11i 0.146156 + 0.640353i 0.993932 + 0.109998i \(0.0350843\pi\)
−0.847776 + 0.530355i \(0.822059\pi\)
\(420\) 1.62470e10 + 2.16801e11i 0.0254771 + 0.339969i
\(421\) 1.16912e12 + 3.60627e11i 1.81381 + 0.559485i 0.999772 0.0213342i \(-0.00679139\pi\)
0.814033 + 0.580819i \(0.197268\pi\)
\(422\) −5.30997e11 + 2.55715e11i −0.815053 + 0.392509i
\(423\) −4.95882e11 + 8.58893e11i −0.753090 + 1.30439i
\(424\) −1.51843e11 2.63000e11i −0.228165 0.395194i
\(425\) 5.47406e10 + 3.73215e10i 0.0813878 + 0.0554893i
\(426\) −3.62945e10 + 1.59017e11i −0.0533946 + 0.233937i
\(427\) −4.67810e11 7.05110e10i −0.680995 0.102643i
\(428\) 4.31023e11 + 5.40485e11i 0.620873 + 0.778551i
\(429\) −7.98194e9 −0.0113776
\(430\) 2.94061e11 + 2.61917e11i 0.414791 + 0.369451i
\(431\) −1.01724e12 −1.41995 −0.709976 0.704226i \(-0.751294\pi\)
−0.709976 + 0.704226i \(0.751294\pi\)
\(432\) 9.72016e10 + 1.21887e11i 0.134275 + 0.168376i
\(433\) −5.67277e11 8.55033e10i −0.775532 0.116893i −0.250662 0.968075i \(-0.580648\pi\)
−0.524870 + 0.851182i \(0.675886\pi\)
\(434\) −2.36758e10 + 1.03731e11i −0.0320333 + 0.140347i
\(435\) −3.65721e11 2.49344e11i −0.489721 0.333886i
\(436\) 2.28076e11 + 3.95039e11i 0.302267 + 0.523541i
\(437\) 5.58842e10 9.67943e10i 0.0733032 0.126965i
\(438\) −1.88514e11 + 9.07834e10i −0.244743 + 0.117862i
\(439\) −2.21277e11 6.82549e10i −0.284345 0.0877088i 0.149302 0.988792i \(-0.452297\pi\)
−0.433647 + 0.901083i \(0.642774\pi\)
\(440\) 1.08365e10 + 1.44604e11i 0.0137833 + 0.183926i
\(441\) 8.00066e10 + 3.50532e11i 0.100728 + 0.441320i
\(442\) −7.89043e9 + 2.01045e10i −0.00983333 + 0.0250549i
\(443\) 3.85515e10 5.14433e11i 0.0475580 0.634618i −0.921594 0.388155i \(-0.873113\pi\)
0.969152 0.246463i \(-0.0792684\pi\)
\(444\) 2.77060e11 4.17600e10i 0.338337 0.0509961i
\(445\) 3.02248e11 + 2.80445e11i 0.365378 + 0.339022i
\(446\) 6.19468e10 + 2.98320e10i 0.0741331 + 0.0357006i
\(447\) −9.32961e10 + 6.36082e10i −0.110530 + 0.0753580i
\(448\) 4.88093e10 + 1.24364e11i 0.0572469 + 0.145863i
\(449\) −4.12782e11 + 1.27326e11i −0.479305 + 0.147846i −0.524988 0.851110i \(-0.675930\pi\)
0.0456822 + 0.998956i \(0.485454\pi\)
\(450\) −9.41914e10 + 8.73968e10i −0.108282 + 0.100471i
\(451\) 7.21584e10 9.04838e10i 0.0821282 0.102986i
\(452\) −9.19672e10 + 1.15323e11i −0.103636 + 0.129955i
\(453\) 2.23952e11 2.07797e11i 0.249869 0.231845i
\(454\) 4.60876e11 1.42161e11i 0.509135 0.157047i
\(455\) 9.21253e10 + 2.34731e11i 0.100769 + 0.256756i
\(456\) 3.70128e11 2.52349e11i 0.400876 0.273313i
\(457\) 5.08788e11 + 2.45020e11i 0.545650 + 0.262771i 0.686338 0.727283i \(-0.259217\pi\)
−0.140688 + 0.990054i \(0.544931\pi\)
\(458\) −8.38904e9 7.78390e9i −0.00890877 0.00826613i
\(459\) −1.61172e11 + 2.42927e10i −0.169485 + 0.0255458i
\(460\) −5.12180e9 + 6.83456e10i −0.00533350 + 0.0711706i
\(461\) 2.20760e11 5.62487e11i 0.227649 0.580041i −0.770717 0.637177i \(-0.780102\pi\)
0.998366 + 0.0571368i \(0.0181971\pi\)
\(462\) −7.49660e9 3.28447e10i −0.00765553 0.0335411i
\(463\) −4.70769e10 6.28197e11i −0.0476095 0.635304i −0.969063 0.246815i \(-0.920616\pi\)
0.921453 0.388489i \(-0.127003\pi\)
\(464\) 5.67709e11 + 1.75115e11i 0.568585 + 0.175385i
\(465\) −8.03960e10 + 3.87167e10i −0.0797437 + 0.0384025i
\(466\) 3.62961e11 6.28666e11i 0.356552 0.617566i
\(467\) 1.64152e11 + 2.84319e11i 0.159705 + 0.276618i 0.934762 0.355273i \(-0.115612\pi\)
−0.775057 + 0.631891i \(0.782279\pi\)
\(468\) 1.15827e11 + 7.89695e10i 0.111610 + 0.0760945i
\(469\) 1.78547e11 7.82265e11i 0.170402 0.746579i
\(470\) −9.69580e11 1.46141e11i −0.916523 0.138144i
\(471\) 2.39096e10 + 2.99817e10i 0.0223861 + 0.0280713i
\(472\) −9.26866e11 −0.859564
\(473\) 1.71047e11 + 1.11588e11i 0.157123 + 0.102504i
\(474\) 1.20912e11 0.110019
\(475\) −4.32296e11 5.42082e11i −0.389637 0.488589i
\(476\) 3.01675e11 + 4.54702e10i 0.269344 + 0.0405971i
\(477\) 1.22074e11 5.34841e11i 0.107967 0.473033i
\(478\) 6.57639e11 + 4.48370e11i 0.576185 + 0.392836i
\(479\) −2.10397e11 3.64418e11i −0.182612 0.316293i 0.760157 0.649739i \(-0.225122\pi\)
−0.942769 + 0.333446i \(0.891789\pi\)
\(480\) −2.14949e11 + 3.72302e11i −0.184820 + 0.320118i
\(481\) 2.92796e11 1.41003e11i 0.249409 0.120109i
\(482\) −4.04527e11 1.24780e11i −0.341378 0.105301i
\(483\) −2.73540e9 3.65013e10i −0.00228696 0.0305173i
\(484\) −1.99561e11 8.74332e11i −0.165299 0.724223i
\(485\) 2.94186e11 7.49574e11i 0.241426 0.615144i
\(486\) 3.60389e10 4.80905e11i 0.0293027 0.391017i
\(487\) 1.99212e11 3.00264e10i 0.160486 0.0241893i −0.0683079 0.997664i \(-0.521760\pi\)
0.228794 + 0.973475i \(0.426522\pi\)
\(488\) −4.38186e11 4.06578e11i −0.349760 0.324530i
\(489\) −1.04030e11 5.00984e10i −0.0822754 0.0396217i
\(490\) −2.93707e11 + 2.00246e11i −0.230161 + 0.156921i
\(491\) −7.61828e11 1.94111e12i −0.591548 1.50724i −0.842201 0.539164i \(-0.818740\pi\)
0.250652 0.968077i \(-0.419355\pi\)
\(492\) 2.09498e11 6.46216e10i 0.161190 0.0497204i
\(493\) −4.55323e11 + 4.22478e11i −0.347143 + 0.322101i
\(494\) 1.40922e11 1.76711e11i 0.106465 0.133503i
\(495\) −1.63324e11 + 2.04802e11i −0.122272 + 0.153324i
\(496\) 8.77965e10 8.14633e10i 0.0651343 0.0604358i
\(497\) 2.55360e12 7.87680e11i 1.87736 0.579090i
\(498\) 3.27667e10 + 8.34881e10i 0.0238726 + 0.0608265i
\(499\) 9.61794e11 6.55740e11i 0.694432 0.473456i −0.163949 0.986469i \(-0.552423\pi\)
0.858381 + 0.513013i \(0.171471\pi\)
\(500\) −7.39678e11 3.56210e11i −0.529270 0.254883i
\(501\) −1.12194e11 1.04101e11i −0.0795613 0.0738221i
\(502\) 1.58241e10 2.38509e9i 0.0111212 0.00167625i
\(503\) −1.08167e11 + 1.44338e12i −0.0753421 + 1.00537i 0.823562 + 0.567226i \(0.191983\pi\)
−0.898905 + 0.438145i \(0.855636\pi\)
\(504\) −4.96921e11 + 1.26614e12i −0.343044 + 0.874063i
\(505\) −3.95132e10 1.73118e11i −0.0270353 0.118449i
\(506\) −7.93668e8 1.05908e10i −0.000538222 0.00718208i
\(507\) 4.26838e11 + 1.31662e11i 0.286898 + 0.0884963i
\(508\) −1.10112e11 + 5.30272e10i −0.0733582 + 0.0353274i
\(509\) −4.46845e11 + 7.73959e11i −0.295071 + 0.511079i −0.975002 0.222198i \(-0.928677\pi\)
0.679930 + 0.733277i \(0.262010\pi\)
\(510\) −3.82250e10 6.62077e10i −0.0250197 0.0433354i
\(511\) 2.83242e12 + 1.93111e12i 1.83765 + 1.25289i
\(512\) 2.34954e11 1.02940e12i 0.151101 0.662017i
\(513\) 1.68669e12 + 2.54228e11i 1.07525 + 0.162067i
\(514\) −6.62453e11 8.30690e11i −0.418621 0.524934i
\(515\) 1.63700e12 1.02545
\(516\) 1.48641e11 + 3.57183e11i 0.0923028 + 0.221803i
\(517\) −5.08520e11 −0.313040
\(518\) 8.55203e11 + 1.07239e12i 0.521898 + 0.654439i
\(519\) −7.85626e11 1.18414e11i −0.475294 0.0716391i
\(520\) −7.08971e10 + 3.10621e11i −0.0425220 + 0.186301i
\(521\) 2.36031e12 + 1.60923e12i 1.40346 + 0.956860i 0.999107 + 0.0422556i \(0.0134544\pi\)
0.404349 + 0.914605i \(0.367498\pi\)
\(522\) −6.02320e11 1.04325e12i −0.355067 0.614993i
\(523\) −3.58434e11 + 6.20827e11i −0.209485 + 0.362838i −0.951552 0.307487i \(-0.900512\pi\)
0.742068 + 0.670325i \(0.233845\pi\)
\(524\) 1.16784e12 5.62402e11i 0.676694 0.325879i
\(525\) −2.16981e11 6.69297e10i −0.124653 0.0384505i
\(526\) −3.23351e10 4.31482e11i −0.0184178 0.245769i
\(527\) 2.78635e10 + 1.22078e11i 0.0157358 + 0.0689429i
\(528\) −1.38548e10 + 3.53015e10i −0.00775796 + 0.0197670i
\(529\) −1.33738e11 + 1.78461e12i −0.0742513 + 0.990815i
\(530\) 5.36324e11 8.08378e10i 0.295247 0.0445014i
\(531\) −1.22738e12 1.13884e12i −0.669965 0.621637i
\(532\) −2.87657e12 1.38528e12i −1.55694 0.749783i
\(533\) 2.10100e11 1.43244e11i 0.112760 0.0768781i
\(534\) −4.42183e10 1.12666e11i −0.0235324 0.0599596i
\(535\) −2.71215e12 + 8.36588e11i −1.43127 + 0.441489i
\(536\) 7.43178e11 6.89569e11i 0.388912 0.360858i
\(537\) −6.05312e11 + 7.59037e11i −0.314120 + 0.393894i
\(538\) −2.69709e10 + 3.38205e10i −0.0138796 + 0.0174044i
\(539\) −1.35142e11 + 1.25393e11i −0.0689667 + 0.0639918i
\(540\) −9.99507e11 + 3.08307e11i −0.505841 + 0.156031i
\(541\) −2.62043e11 6.67676e11i −0.131518 0.335103i 0.849911 0.526926i \(-0.176655\pi\)
−0.981430 + 0.191823i \(0.938560\pi\)
\(542\) 8.47090e11 5.77536e11i 0.421631 0.287463i
\(543\) −8.84926e11 4.26158e11i −0.436825 0.210364i
\(544\) 4.42222e11 + 4.10322e11i 0.216494 + 0.200877i
\(545\) −1.85187e12 + 2.79125e11i −0.899138 + 0.135523i
\(546\) 5.53161e9 7.38142e10i 0.00266370 0.0355445i
\(547\) −1.39667e12 + 3.55867e12i −0.667041 + 1.69959i 0.0464443 + 0.998921i \(0.485211\pi\)
−0.713485 + 0.700671i \(0.752884\pi\)
\(548\) −2.53302e11 1.10979e12i −0.119985 0.525687i
\(549\) −8.06949e10 1.07680e12i −0.0379114 0.505893i
\(550\) −6.29564e10 1.94195e10i −0.0293365 0.00904910i
\(551\) 5.85655e12 2.82037e12i 2.70682 1.30354i
\(552\) 2.31245e10 4.00528e10i 0.0106010 0.0183614i
\(553\) −9.90509e11 1.71561e12i −0.450397 0.780111i
\(554\) −1.45635e12 9.92925e11i −0.656860 0.447840i
\(555\) −2.55977e11 + 1.12151e12i −0.114520 + 0.501747i
\(556\) −2.10945e12 3.17948e11i −0.936122 0.141098i
\(557\) 1.59639e11 + 2.00181e11i 0.0702732 + 0.0881198i 0.815726 0.578439i \(-0.196338\pi\)
−0.745452 + 0.666559i \(0.767767\pi\)
\(558\) −2.42850e11 −0.106043
\(559\) 2.86854e11 + 3.45058e11i 0.124253 + 0.149465i
\(560\) 1.19805e12 0.514787
\(561\) −2.47203e10 3.09983e10i −0.0105371 0.0132131i
\(562\) −1.07880e12 1.62603e11i −0.456172 0.0687569i
\(563\) −7.55491e11 + 3.31002e12i −0.316914 + 1.38849i 0.526019 + 0.850473i \(0.323684\pi\)
−0.842933 + 0.538018i \(0.819173\pi\)
\(564\) −7.95925e11 5.42652e11i −0.331220 0.225822i
\(565\) −3.02798e11 5.24462e11i −0.125007 0.216519i
\(566\) −1.97355e11 + 3.41829e11i −0.0808303 + 0.140002i
\(567\) −1.94920e12 + 9.38687e11i −0.792015 + 0.381414i
\(568\) 3.22648e12 + 9.95238e11i 1.30065 + 0.401199i
\(569\) 1.43984e11 + 1.92133e12i 0.0575849 + 0.768417i 0.949009 + 0.315248i \(0.102088\pi\)
−0.891424 + 0.453169i \(0.850293\pi\)
\(570\) 1.78031e11 + 7.80006e11i 0.0706415 + 0.309500i
\(571\) −1.52397e12 + 3.88301e12i −0.599948 + 1.52864i 0.231381 + 0.972863i \(0.425676\pi\)
−0.831329 + 0.555780i \(0.812420\pi\)
\(572\) −5.37155e9 + 7.16783e10i −0.00209806 + 0.0279966i
\(573\) −3.10037e11 + 4.67305e10i −0.120148 + 0.0181094i
\(574\) 7.86756e11 + 7.30003e11i 0.302508 + 0.280686i
\(575\) −6.44937e10 3.10585e10i −0.0246044 0.0118488i
\(576\) −2.51949e11 + 1.71776e11i −0.0953700 + 0.0650222i
\(577\) −1.52529e12 3.88639e12i −0.572878 1.45967i −0.864251 0.503061i \(-0.832207\pi\)
0.291373 0.956610i \(-0.405888\pi\)
\(578\) 1.12734e12 3.47739e11i 0.420127 0.129592i
\(579\) −5.58896e11 + 5.18579e11i −0.206670 + 0.191762i
\(580\) −2.48525e12 + 3.11640e12i −0.911892 + 1.14348i
\(581\) 9.16182e11 1.14886e12i 0.333572 0.418286i
\(582\) −1.73274e11 + 1.60775e11i −0.0626009 + 0.0580851i
\(583\) 2.68791e11 8.29111e10i 0.0963622 0.0297238i
\(584\) 1.58244e12 + 4.03199e12i 0.562949 + 1.43437i
\(585\) −4.75542e11 + 3.24219e11i −0.167876 + 0.114456i
\(586\) 2.15948e12 + 1.03995e12i 0.756502 + 0.364312i
\(587\) −3.31325e12 3.07424e12i −1.15181 1.06873i −0.996728 0.0808259i \(-0.974244\pi\)
−0.155086 0.987901i \(-0.549565\pi\)
\(588\) −3.45331e11 + 5.20502e10i −0.119134 + 0.0179566i
\(589\) 9.79283e10 1.30676e12i 0.0335266 0.447381i
\(590\) 6.04776e11 1.54095e12i 0.205476 0.523544i
\(591\) 1.04566e11 + 4.58134e11i 0.0352572 + 0.154472i
\(592\) −1.15384e11 1.53969e12i −0.0386097 0.515210i
\(593\) −3.27884e11 1.01139e11i −0.108886 0.0335870i 0.239833 0.970814i \(-0.422907\pi\)
−0.348720 + 0.937227i \(0.613383\pi\)
\(594\) 1.46032e11 7.03253e10i 0.0481293 0.0231778i
\(595\) −6.26277e11 + 1.08474e12i −0.204852 + 0.354814i
\(596\) 5.08421e11 + 8.80611e11i 0.165050 + 0.285875i
\(597\) 8.06892e11 + 5.50130e11i 0.259975 + 0.177248i
\(598\) 5.19250e9 2.27498e10i 0.00166043 0.00727483i
\(599\) −6.15284e11 9.27392e10i −0.195279 0.0294335i 0.0506745 0.998715i \(-0.483863\pi\)
−0.245953 + 0.969282i \(0.579101\pi\)
\(600\) −1.78881e11 2.24310e11i −0.0563486 0.0706589i
\(601\) 3.57674e12 1.11829 0.559143 0.829071i \(-0.311130\pi\)
0.559143 + 0.829071i \(0.311130\pi\)
\(602\) −1.15046e12 + 1.50445e12i −0.357017 + 0.466867i
\(603\) 1.83141e12 0.564101
\(604\) −1.71532e12 2.15094e12i −0.524420 0.657601i
\(605\) 3.64087e12 + 5.48773e11i 1.10486 + 0.166530i
\(606\) −1.15989e10 + 5.08181e10i −0.00349374 + 0.0153071i
\(607\) −1.67388e12 1.14123e12i −0.500465 0.341211i 0.286632 0.958041i \(-0.407464\pi\)
−0.787097 + 0.616829i \(0.788417\pi\)
\(608\) −3.15663e12 5.46744e12i −0.936822 1.62262i
\(609\) 1.06441e12 1.84361e12i 0.313567 0.543114i
\(610\) 9.61864e11 4.63209e11i 0.281274 0.135454i
\(611\) −1.06766e12 3.29330e11i −0.309919 0.0955974i
\(612\) 5.20374e10 + 6.94391e11i 0.0149946 + 0.200089i
\(613\) 4.02272e11 + 1.76247e12i 0.115066 + 0.504138i 0.999311 + 0.0371144i \(0.0118166\pi\)
−0.884245 + 0.467024i \(0.845326\pi\)
\(614\) 8.81199e11 2.24526e12i 0.250217 0.637542i
\(615\) −6.72653e10 + 8.97593e11i −0.0189607 + 0.253012i
\(616\) −6.89622e11 + 1.03944e11i −0.192973 + 0.0290861i
\(617\) 1.92982e12 + 1.79062e12i 0.536086 + 0.497415i 0.901114 0.433581i \(-0.142750\pi\)
−0.365028 + 0.930996i \(0.618941\pi\)
\(618\) −4.32946e11 2.08496e11i −0.119395 0.0574976i
\(619\) −5.04394e12 + 3.43890e12i −1.38090 + 0.941482i −0.381044 + 0.924557i \(0.624435\pi\)
−0.999857 + 0.0169251i \(0.994612\pi\)
\(620\) 2.93575e11 + 7.48016e11i 0.0797914 + 0.203305i
\(621\) 1.68280e11 5.19077e10i 0.0454069 0.0140062i
\(622\) 2.22589e11 2.06533e11i 0.0596276 0.0553263i
\(623\) −1.23638e12 + 1.55037e12i −0.328818 + 0.412324i
\(624\) −5.19510e10 + 6.51445e10i −0.0137171 + 0.0172007i
\(625\) 3.42493e12 3.17787e12i 0.897826 0.833060i
\(626\) −6.90361e10 + 2.12948e10i −0.0179677 + 0.00554229i
\(627\) 1.51590e11 + 3.86245e11i 0.0391711 + 0.0998065i
\(628\) 2.85328e11 1.94533e11i 0.0732025 0.0499086i
\(629\) 1.45439e12 + 7.00397e11i 0.370470 + 0.178409i
\(630\) −1.78075e12 1.65230e12i −0.450372 0.417884i
\(631\) 5.87559e11 8.85603e10i 0.147543 0.0222386i −0.0748552 0.997194i \(-0.523849\pi\)
0.222399 + 0.974956i \(0.428611\pi\)
\(632\) 1.87051e11 2.49603e12i 0.0466374 0.622333i
\(633\) 8.68490e11 2.21288e12i 0.215005 0.547823i
\(634\) 3.66109e11 + 1.60403e12i 0.0899929 + 0.394285i
\(635\) −3.74973e10 5.00367e11i −0.00915205 0.122126i
\(636\) 5.09183e11 + 1.57062e11i 0.123401 + 0.0380640i
\(637\) −3.64944e11 + 1.75748e11i −0.0878211 + 0.0422924i
\(638\) 3.08835e11 5.34918e11i 0.0737961 0.127819i
\(639\) 3.04973e12 + 5.28229e12i 0.723615 + 1.25334i
\(640\) 3.90529e12 + 2.66258e12i 0.920117 + 0.627325i
\(641\) −1.99092e11 + 8.72279e11i −0.0465793 + 0.204077i −0.992863 0.119260i \(-0.961948\pi\)
0.946284 + 0.323337i \(0.104805\pi\)
\(642\) 8.23848e11 + 1.24175e11i 0.191399 + 0.0288488i
\(643\) −6.36572e11 7.98236e11i −0.146858 0.184154i 0.702961 0.711228i \(-0.251861\pi\)
−0.849820 + 0.527074i \(0.823289\pi\)
\(644\) −3.29625e11 −0.0755152
\(645\) −1.58804e12 + 3.23213e10i −0.361279 + 0.00735310i
\(646\) 1.12271e12 0.253641
\(647\) −5.13898e12 6.44407e12i −1.15294 1.44574i −0.874325 0.485340i \(-0.838696\pi\)
−0.278616 0.960403i \(-0.589876\pi\)
\(648\) −2.70300e12 4.07412e11i −0.602225 0.0907709i
\(649\) 1.91035e11 8.36980e11i 0.0422681 0.185188i
\(650\) −1.19604e11 8.15443e10i −0.0262805 0.0179178i
\(651\) −2.14580e11 3.71663e11i −0.0468246 0.0811026i
\(652\) −5.19895e11 + 9.00485e11i −0.112668 + 0.195147i
\(653\) 4.76511e12 2.29476e12i 1.02557 0.493886i 0.156028 0.987753i \(-0.450131\pi\)
0.869538 + 0.493866i \(0.164417\pi\)
\(654\) 5.25325e11 + 1.62041e11i 0.112287 + 0.0346358i
\(655\) 3.97693e11 + 5.30685e12i 0.0844233 + 1.12655i
\(656\) −2.68834e11 1.17784e12i −0.0566783 0.248324i
\(657\) −2.85860e12 + 7.28359e12i −0.598562 + 1.52511i
\(658\) 3.52412e11 4.70261e12i 0.0732883 0.977964i
\(659\) −1.59727e12 + 2.40750e11i −0.329909 + 0.0497257i −0.311908 0.950112i \(-0.600968\pi\)
−0.0180005 + 0.999838i \(0.505730\pi\)
\(660\) −1.86515e11 1.73061e11i −0.0382619 0.0355019i
\(661\) 4.72433e12 + 2.27512e12i 0.962574 + 0.463551i 0.848077 0.529873i \(-0.177760\pi\)
0.114496 + 0.993424i \(0.463475\pi\)
\(662\) 2.58789e12 1.76439e12i 0.523703 0.357054i
\(663\) −3.18262e10 8.10919e10i −0.00639697 0.0162992i
\(664\) 1.77416e12 5.47256e11i 0.354190 0.109253i
\(665\) 9.60901e12 8.91586e12i 1.90538 1.76793i
\(666\) −1.95197e12 + 2.44769e12i −0.384449 + 0.482083i
\(667\) 4.18425e11 5.24688e11i 0.0818561 0.102644i
\(668\) −1.01034e12 + 9.37457e11i −0.196324 + 0.182162i
\(669\) −2.65007e11 + 8.17438e10i −0.0511493 + 0.0157775i
\(670\) 6.61510e11 + 1.68550e12i 0.126823 + 0.323141i
\(671\) 4.57462e11 3.11893e11i 0.0871172 0.0593955i
\(672\) −1.86281e12 8.97082e11i −0.352377 0.169696i
\(673\) −3.01856e12 2.80081e12i −0.567195 0.526280i 0.343613 0.939111i \(-0.388349\pi\)
−0.910807 + 0.412832i \(0.864540\pi\)
\(674\) −2.96064e12 + 4.46244e11i −0.552606 + 0.0832920i
\(675\) 8.16391e10 1.08940e12i 0.0151367 0.201985i
\(676\) 1.46958e12 3.74443e12i 0.270666 0.689645i
\(677\) −1.40830e12 6.17016e12i −0.257659 1.12888i −0.923746 0.383004i \(-0.874889\pi\)
0.666087 0.745874i \(-0.267968\pi\)
\(678\) 1.32848e10 + 1.77273e11i 0.00241446 + 0.0322187i
\(679\) 3.70068e12 + 1.14151e12i 0.668140 + 0.206094i
\(680\) −1.42588e12 + 6.86668e11i −0.255737 + 0.123156i
\(681\) −9.72690e11 + 1.68475e12i −0.173306 + 0.300174i
\(682\) −6.22597e10 1.07837e11i −0.0110199 0.0190870i
\(683\) −3.40373e12 2.32062e12i −0.598497 0.408048i 0.225826 0.974168i \(-0.427492\pi\)
−0.824323 + 0.566119i \(0.808444\pi\)
\(684\) 1.62158e12 7.10461e12i 0.283261 1.24105i
\(685\) 4.62135e12 + 6.96556e11i 0.801975 + 0.120878i
\(686\) 1.05958e12 + 1.32867e12i 0.182674 + 0.229066i
\(687\) 4.61596e10 0.00790600
\(688\) 2.02399e12 6.69717e11i 0.344398 0.113958i
\(689\) 6.18036e11 0.104479
\(690\) 5.15004e10 + 6.45795e10i 0.00864948 + 0.0108461i
\(691\) −3.31362e11 4.99447e10i −0.0552906 0.00833371i 0.121339 0.992611i \(-0.461281\pi\)
−0.176629 + 0.984277i \(0.556519\pi\)
\(692\) −1.59206e12 + 6.97528e12i −0.263926 + 1.15634i
\(693\) −1.04093e12 7.09692e11i −0.171443 0.116888i
\(694\) 3.76161e10 + 6.51530e10i 0.00615540 + 0.0106615i
\(695\) 4.37921e12 7.58502e12i 0.711975 1.23318i
\(696\) 2.42340e12 1.16705e12i 0.391456 0.188515i
\(697\) 1.20698e12 + 3.72304e11i 0.193710 + 0.0597516i
\(698\) 1.24231e11 + 1.65775e12i 0.0198098 + 0.264343i
\(699\) 6.51545e11 + 2.85461e12i 0.103228 + 0.452271i
\(700\) −7.47053e11 + 1.90346e12i −0.117601 + 0.299642i
\(701\) −3.85545e11 + 5.14474e12i −0.0603037 + 0.804697i 0.882280 + 0.470726i \(0.156008\pi\)
−0.942583 + 0.333971i \(0.891611\pi\)
\(702\) 3.52146e11 5.30775e10i 0.0547275 0.00824885i
\(703\) −1.23838e13 1.14905e13i −1.91229 1.77435i
\(704\) −1.40869e11 6.78391e10i −0.0216142 0.0104089i
\(705\) 3.26777e12 2.22793e12i 0.498196 0.339664i
\(706\) −4.89586e11 1.24744e12i −0.0741664 0.188973i
\(707\) 8.16072e11 2.51725e11i 0.122840 0.0378912i
\(708\) 1.19216e12 1.10617e12i 0.178314 0.165452i
\(709\) −1.82517e12 + 2.28869e12i −0.271266 + 0.340157i −0.898741 0.438480i \(-0.855517\pi\)
0.627475 + 0.778637i \(0.284089\pi\)
\(710\) −3.75988e12 + 4.71474e12i −0.555280 + 0.696298i
\(711\) 3.31456e12 3.07547e12i 0.486422 0.451334i
\(712\) −2.39421e12 + 7.38517e11i −0.349143 + 0.107696i
\(713\) −4.94273e10 1.25939e11i −0.00716249 0.0182497i
\(714\) 3.03793e11 2.07122e11i 0.0437457 0.0298253i
\(715\) −2.65885e11 1.28043e11i −0.0380466 0.0183223i
\(716\) 6.40885e12 + 5.94655e12i 0.911322 + 0.845583i
\(717\) −3.17459e12 + 4.78493e11i −0.448592 + 0.0676144i
\(718\) −2.47700e11 + 3.30532e12i −0.0347829 + 0.464145i
\(719\) −8.57610e11 + 2.18516e12i −0.119677 + 0.304932i −0.978141 0.207942i \(-0.933324\pi\)
0.858464 + 0.512873i \(0.171419\pi\)
\(720\) 6.08483e11 + 2.66594e12i 0.0843824 + 0.369703i
\(721\) 5.88353e11 + 7.85103e12i 0.0810830 + 1.08198i
\(722\) −7.88081e12 2.43091e12i −1.07933 0.332929i
\(723\) 1.53843e12 7.40869e11i 0.209390 0.100837i
\(724\) −4.42245e12 + 7.65991e12i −0.598190 + 1.03610i
\(725\) −2.08157e12 3.60538e12i −0.279814 0.484652i
\(726\) −8.93026e11 6.08855e11i −0.119302 0.0813390i
\(727\) −6.72273e11 + 2.94542e12i −0.0892567 + 0.391059i −0.999748 0.0224701i \(-0.992847\pi\)
0.910491 + 0.413529i \(0.135704\pi\)
\(728\) −1.51521e12 2.28381e11i −0.199932 0.0301349i
\(729\) −2.19807e12 2.75629e12i −0.288249 0.361453i
\(730\) −7.73585e12 −1.00822
\(731\) −4.51658e11 + 2.18267e12i −0.0585034 + 0.282722i
\(732\) 1.04884e12 0.135023
\(733\) 3.49223e11 + 4.37912e11i 0.0446823 + 0.0560298i 0.803671 0.595075i \(-0.202877\pi\)
−0.758988 + 0.651104i \(0.774306\pi\)
\(734\) 1.39714e12 + 2.10585e11i 0.177668 + 0.0267791i
\(735\) 3.19053e11 1.39786e12i 0.0403246 0.176674i
\(736\) −5.38536e11 3.67167e11i −0.0676495 0.0461226i
\(737\) 4.69520e11 + 8.13232e11i 0.0586206 + 0.101534i
\(738\) −1.22484e12 + 2.12148e12i −0.151993 + 0.263260i
\(739\) −1.08838e13 + 5.24135e12i −1.34239 + 0.646463i −0.960639 0.277801i \(-0.910394\pi\)
−0.381755 + 0.924264i \(0.624680\pi\)
\(740\) 9.89897e12 + 3.05343e12i 1.21352 + 0.374321i
\(741\) 6.81287e10 + 9.09114e11i 0.00830133 + 0.110774i
\(742\) 5.80457e11 + 2.54315e12i 0.0702995 + 0.308002i
\(743\) −3.18238e12 + 8.10856e12i −0.383091 + 0.976100i 0.601129 + 0.799152i \(0.294718\pi\)
−0.984220 + 0.176948i \(0.943378\pi\)
\(744\) 4.05220e10 5.40729e11i 0.00484856 0.0646995i
\(745\) −4.12814e12 + 6.22218e11i −0.490966 + 0.0740012i
\(746\) 3.22482e12 + 2.99220e12i 0.381225 + 0.353725i
\(747\) 3.02180e12 + 1.45522e12i 0.355077 + 0.170996i
\(748\) −2.95002e11 + 2.01129e11i −0.0344563 + 0.0234919i
\(749\) −4.98703e12 1.27067e13i −0.578994 1.47525i