Properties

Label 18.5.d.a.5.1
Level $18$
Weight $5$
Character 18.5
Analytic conductor $1.861$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 18.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.86065933551\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{6})\)
Coefficient field: 8.0.221456830464.4
Defining polynomial: \( x^{8} - 4x^{7} + 38x^{6} - 100x^{5} + 449x^{4} - 736x^{3} + 1900x^{2} - 1548x + 2307 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{4}\cdot 3^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.1
Root \(0.500000 - 1.74753i\) of defining polynomial
Character \(\chi\) \(=\) 18.5
Dual form 18.5.d.a.11.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.44949 + 1.41421i) q^{2} +(-7.80760 - 4.47676i) q^{3} +(4.00000 - 6.92820i) q^{4} +(-32.5033 - 18.7658i) q^{5} +(25.4557 - 0.0758456i) q^{6} +(-1.35458 - 2.34620i) q^{7} +22.6274i q^{8} +(40.9173 + 69.9055i) q^{9} +O(q^{10})\) \(q+(-2.44949 + 1.41421i) q^{2} +(-7.80760 - 4.47676i) q^{3} +(4.00000 - 6.92820i) q^{4} +(-32.5033 - 18.7658i) q^{5} +(25.4557 - 0.0758456i) q^{6} +(-1.35458 - 2.34620i) q^{7} +22.6274i q^{8} +(40.9173 + 69.9055i) q^{9} +106.155 q^{10} +(-91.4988 + 52.8268i) q^{11} +(-62.2463 + 36.1856i) q^{12} +(97.9281 - 169.616i) q^{13} +(6.63606 + 3.83133i) q^{14} +(169.763 + 292.025i) q^{15} +(-32.0000 - 55.4256i) q^{16} -448.150i q^{17} +(-199.088 - 113.367i) q^{18} -501.845 q^{19} +(-260.026 + 150.126i) q^{20} +(0.0726474 + 24.3823i) q^{21} +(149.417 - 258.798i) q^{22} +(343.254 + 198.178i) q^{23} +(101.297 - 176.666i) q^{24} +(391.808 + 678.631i) q^{25} +553.965i q^{26} +(-6.51608 - 728.971i) q^{27} -21.6733 q^{28} +(466.948 - 269.593i) q^{29} +(-828.817 - 475.231i) q^{30} +(-297.859 + 515.907i) q^{31} +(156.767 + 90.5097i) q^{32} +(950.879 - 2.83315i) q^{33} +(633.780 + 1097.74i) q^{34} +101.679i q^{35} +(647.988 - 3.86141i) q^{36} -1844.02 q^{37} +(1229.26 - 709.716i) q^{38} +(-1523.91 + 885.897i) q^{39} +(424.621 - 735.465i) q^{40} +(-145.474 - 83.9896i) q^{41} +(-34.6598 - 59.6215i) q^{42} +(-310.535 - 537.862i) q^{43} +845.229i q^{44} +(-18.1156 - 3040.00i) q^{45} -1121.06 q^{46} +(-651.961 + 376.410i) q^{47} +(1.71619 + 575.997i) q^{48} +(1196.83 - 2072.97i) q^{49} +(-1919.46 - 1108.20i) q^{50} +(-2006.26 + 3498.98i) q^{51} +(-783.425 - 1356.93i) q^{52} -913.826i q^{53} +(1046.88 + 1776.39i) q^{54} +3965.34 q^{55} +(53.0885 - 30.6506i) q^{56} +(3918.21 + 2246.64i) q^{57} +(-762.523 + 1320.73i) q^{58} +(1142.44 + 659.590i) q^{59} +(2702.26 - 8.05141i) q^{60} +(2064.42 + 3575.68i) q^{61} -1684.94i q^{62} +(108.587 - 190.693i) q^{63} -512.000 q^{64} +(-6365.96 + 3675.39i) q^{65} +(-2325.16 + 1351.69i) q^{66} +(3341.65 - 5787.91i) q^{67} +(-3104.88 - 1792.60i) q^{68} +(-1792.80 - 3083.96i) q^{69} +(-143.796 - 249.061i) q^{70} +2887.29i q^{71} +(-1581.78 + 925.853i) q^{72} +118.825 q^{73} +(4516.92 - 2607.84i) q^{74} +(-21.0130 - 7052.51i) q^{75} +(-2007.38 + 3476.88i) q^{76} +(247.885 + 143.116i) q^{77} +(2479.97 - 4325.14i) q^{78} +(-3918.75 - 6787.48i) q^{79} +2402.02i q^{80} +(-3212.55 + 5720.69i) q^{81} +475.117 q^{82} +(4404.19 - 2542.76i) q^{83} +(169.216 + 97.0260i) q^{84} +(-8409.88 + 14566.3i) q^{85} +(1521.30 + 878.325i) q^{86} +(-4852.65 + 14.4585i) q^{87} +(-1195.33 - 2070.38i) q^{88} -10285.1i q^{89} +(4343.58 + 7420.83i) q^{90} -530.605 q^{91} +(2746.03 - 1585.42i) q^{92} +(4635.15 - 2694.55i) q^{93} +(1064.65 - 1844.02i) q^{94} +(16311.6 + 9417.50i) q^{95} +(-818.787 - 1408.47i) q^{96} +(440.403 + 762.801i) q^{97} +6770.29i q^{98} +(-7436.77 - 4234.73i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8 q + 6 q^{3} + 32 q^{4} + 18 q^{5} + 48 q^{6} - 26 q^{7} - 78 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 8 q + 6 q^{3} + 32 q^{4} + 18 q^{5} + 48 q^{6} - 26 q^{7} - 78 q^{9} - 720 q^{11} - 144 q^{12} + 10 q^{13} + 288 q^{14} + 1134 q^{15} - 256 q^{16} - 384 q^{18} + 100 q^{19} + 144 q^{20} + 438 q^{21} + 336 q^{22} + 1278 q^{23} + 384 q^{24} + 794 q^{25} - 1296 q^{27} - 416 q^{28} - 1854 q^{29} - 3456 q^{30} - 1478 q^{31} - 3384 q^{33} - 96 q^{34} + 1056 q^{36} - 32 q^{37} + 6768 q^{38} + 5274 q^{39} - 36 q^{41} + 2592 q^{42} - 68 q^{43} + 3402 q^{45} + 2112 q^{46} + 2214 q^{47} - 1536 q^{48} + 2442 q^{49} - 15552 q^{50} - 12006 q^{51} - 80 q^{52} + 7056 q^{54} - 3996 q^{55} + 2304 q^{56} + 10902 q^{57} - 2400 q^{58} + 9108 q^{59} + 6480 q^{60} - 4478 q^{61} - 6654 q^{63} - 4096 q^{64} - 22554 q^{65} - 19872 q^{66} + 7504 q^{67} - 11088 q^{68} - 5994 q^{69} + 6048 q^{70} + 5376 q^{72} + 20716 q^{73} + 15264 q^{74} + 16590 q^{75} + 400 q^{76} + 34434 q^{77} + 24096 q^{78} - 6050 q^{79} - 21150 q^{81} + 1152 q^{82} - 3834 q^{83} - 9600 q^{84} - 16092 q^{85} - 12528 q^{86} + 10170 q^{87} - 2688 q^{88} + 2592 q^{90} - 45868 q^{91} + 10224 q^{92} - 10926 q^{93} + 672 q^{94} + 20880 q^{95} + 31336 q^{97} - 22338 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.44949 + 1.41421i −0.612372 + 0.353553i
\(3\) −7.80760 4.47676i −0.867511 0.497417i
\(4\) 4.00000 6.92820i 0.250000 0.433013i
\(5\) −32.5033 18.7658i −1.30013 0.750630i −0.319704 0.947518i \(-0.603583\pi\)
−0.980426 + 0.196887i \(0.936917\pi\)
\(6\) 25.4557 0.0758456i 0.707104 0.00210682i
\(7\) −1.35458 2.34620i −0.0276445 0.0478816i 0.851872 0.523750i \(-0.175467\pi\)
−0.879517 + 0.475868i \(0.842134\pi\)
\(8\) 22.6274i 0.353553i
\(9\) 40.9173 + 69.9055i 0.505152 + 0.863031i
\(10\) 106.155 1.06155
\(11\) −91.4988 + 52.8268i −0.756188 + 0.436585i −0.827925 0.560838i \(-0.810479\pi\)
0.0717373 + 0.997424i \(0.477146\pi\)
\(12\) −62.2463 + 36.1856i −0.432266 + 0.251289i
\(13\) 97.9281 169.616i 0.579456 1.00365i −0.416086 0.909325i \(-0.636598\pi\)
0.995542 0.0943219i \(-0.0300683\pi\)
\(14\) 6.63606 + 3.83133i 0.0338574 + 0.0195476i
\(15\) 169.763 + 292.025i 0.754501 + 1.29789i
\(16\) −32.0000 55.4256i −0.125000 0.216506i
\(17\) 448.150i 1.55069i −0.631536 0.775347i \(-0.717575\pi\)
0.631536 0.775347i \(-0.282425\pi\)
\(18\) −199.088 113.367i −0.614468 0.349898i
\(19\) −501.845 −1.39015 −0.695076 0.718936i \(-0.744629\pi\)
−0.695076 + 0.718936i \(0.744629\pi\)
\(20\) −260.026 + 150.126i −0.650065 + 0.375315i
\(21\) 0.0726474 + 24.3823i 0.000164733 + 0.0552887i
\(22\) 149.417 258.798i 0.308713 0.534706i
\(23\) 343.254 + 198.178i 0.648874 + 0.374628i 0.788025 0.615644i \(-0.211104\pi\)
−0.139151 + 0.990271i \(0.544437\pi\)
\(24\) 101.297 176.666i 0.175864 0.306712i
\(25\) 391.808 + 678.631i 0.626892 + 1.08581i
\(26\) 553.965i 0.819475i
\(27\) −6.51608 728.971i −0.00893839 0.999960i
\(28\) −21.6733 −0.0276445
\(29\) 466.948 269.593i 0.555230 0.320562i −0.195999 0.980604i \(-0.562795\pi\)
0.751229 + 0.660042i \(0.229462\pi\)
\(30\) −828.817 475.231i −0.920908 0.528034i
\(31\) −297.859 + 515.907i −0.309947 + 0.536844i −0.978350 0.206955i \(-0.933645\pi\)
0.668404 + 0.743799i \(0.266978\pi\)
\(32\) 156.767 + 90.5097i 0.153093 + 0.0883883i
\(33\) 950.879 2.83315i 0.873167 0.00260161i
\(34\) 633.780 + 1097.74i 0.548253 + 0.949602i
\(35\) 101.679i 0.0830032i
\(36\) 647.988 3.86141i 0.499991 0.00297948i
\(37\) −1844.02 −1.34699 −0.673493 0.739194i \(-0.735207\pi\)
−0.673493 + 0.739194i \(0.735207\pi\)
\(38\) 1229.26 709.716i 0.851291 0.491493i
\(39\) −1523.91 + 885.897i −1.00192 + 0.582444i
\(40\) 424.621 735.465i 0.265388 0.459665i
\(41\) −145.474 83.9896i −0.0865403 0.0499641i 0.456105 0.889926i \(-0.349244\pi\)
−0.542646 + 0.839962i \(0.682577\pi\)
\(42\) −34.6598 59.6215i −0.0196484 0.0337990i
\(43\) −310.535 537.862i −0.167947 0.290893i 0.769751 0.638345i \(-0.220381\pi\)
−0.937698 + 0.347451i \(0.887047\pi\)
\(44\) 845.229i 0.436585i
\(45\) −18.1156 3040.00i −0.00894597 1.50123i
\(46\) −1121.06 −0.529803
\(47\) −651.961 + 376.410i −0.295138 + 0.170398i −0.640257 0.768161i \(-0.721172\pi\)
0.345118 + 0.938559i \(0.387839\pi\)
\(48\) 1.71619 + 575.997i 0.000744874 + 0.249999i
\(49\) 1196.83 2072.97i 0.498472 0.863378i
\(50\) −1919.46 1108.20i −0.767783 0.443280i
\(51\) −2006.26 + 3498.98i −0.771342 + 1.34524i
\(52\) −783.425 1356.93i −0.289728 0.501824i
\(53\) 913.826i 0.325321i −0.986682 0.162660i \(-0.947993\pi\)
0.986682 0.162660i \(-0.0520075\pi\)
\(54\) 1046.88 + 1776.39i 0.359013 + 0.609188i
\(55\) 3965.34 1.31086
\(56\) 53.0885 30.6506i 0.0169287 0.00977380i
\(57\) 3918.21 + 2246.64i 1.20597 + 0.691486i
\(58\) −762.523 + 1320.73i −0.226672 + 0.392607i
\(59\) 1142.44 + 659.590i 0.328194 + 0.189483i 0.655039 0.755595i \(-0.272652\pi\)
−0.326845 + 0.945078i \(0.605986\pi\)
\(60\) 2702.26 8.05141i 0.750627 0.00223650i
\(61\) 2064.42 + 3575.68i 0.554802 + 0.960946i 0.997919 + 0.0644817i \(0.0205394\pi\)
−0.443117 + 0.896464i \(0.646127\pi\)
\(62\) 1684.94i 0.438331i
\(63\) 108.587 190.693i 0.0273587 0.0480455i
\(64\) −512.000 −0.125000
\(65\) −6365.96 + 3675.39i −1.50674 + 0.869915i
\(66\) −2325.16 + 1351.69i −0.533784 + 0.310304i
\(67\) 3341.65 5787.91i 0.744408 1.28935i −0.206062 0.978539i \(-0.566065\pi\)
0.950471 0.310814i \(-0.100602\pi\)
\(68\) −3104.88 1792.60i −0.671470 0.387673i
\(69\) −1792.80 3083.96i −0.376559 0.647755i
\(70\) −143.796 249.061i −0.0293460 0.0508288i
\(71\) 2887.29i 0.572761i 0.958116 + 0.286380i \(0.0924521\pi\)
−0.958116 + 0.286380i \(0.907548\pi\)
\(72\) −1581.78 + 925.853i −0.305127 + 0.178598i
\(73\) 118.825 0.0222979 0.0111489 0.999938i \(-0.496451\pi\)
0.0111489 + 0.999938i \(0.496451\pi\)
\(74\) 4516.92 2607.84i 0.824857 0.476231i
\(75\) −21.0130 7052.51i −0.00373565 1.25378i
\(76\) −2007.38 + 3476.88i −0.347538 + 0.601954i
\(77\) 247.885 + 143.116i 0.0418089 + 0.0241384i
\(78\) 2479.97 4325.14i 0.407621 0.710903i
\(79\) −3918.75 6787.48i −0.627905 1.08756i −0.987971 0.154636i \(-0.950579\pi\)
0.360067 0.932927i \(-0.382754\pi\)
\(80\) 2402.02i 0.375315i
\(81\) −3212.55 + 5720.69i −0.489643 + 0.871923i
\(82\) 475.117 0.0706599
\(83\) 4404.19 2542.76i 0.639308 0.369105i −0.145040 0.989426i \(-0.546331\pi\)
0.784348 + 0.620321i \(0.212998\pi\)
\(84\) 169.216 + 97.0260i 0.0239819 + 0.0137508i
\(85\) −8409.88 + 14566.3i −1.16400 + 2.01610i
\(86\) 1521.30 + 878.325i 0.205693 + 0.118757i
\(87\) −4852.65 + 14.4585i −0.641121 + 0.00191023i
\(88\) −1195.33 2070.38i −0.154356 0.267353i
\(89\) 10285.1i 1.29846i −0.760594 0.649228i \(-0.775092\pi\)
0.760594 0.649228i \(-0.224908\pi\)
\(90\) 4343.58 + 7420.83i 0.536245 + 0.916152i
\(91\) −530.605 −0.0640750
\(92\) 2746.03 1585.42i 0.324437 0.187314i
\(93\) 4635.15 2694.55i 0.535918 0.311545i
\(94\) 1064.65 1844.02i 0.120490 0.208694i
\(95\) 16311.6 + 9417.50i 1.80738 + 1.04349i
\(96\) −818.787 1408.47i −0.0888441 0.152829i
\(97\) 440.403 + 762.801i 0.0468066 + 0.0810714i 0.888480 0.458916i \(-0.151762\pi\)
−0.841673 + 0.539988i \(0.818429\pi\)
\(98\) 6770.29i 0.704945i
\(99\) −7436.77 4234.73i −0.758776 0.432072i
\(100\) 6268.92 0.626892
\(101\) −3574.35 + 2063.65i −0.350393 + 0.202299i −0.664858 0.746970i \(-0.731508\pi\)
0.314466 + 0.949269i \(0.398175\pi\)
\(102\) −33.9902 11408.0i −0.00326704 1.09650i
\(103\) −3638.92 + 6302.79i −0.343003 + 0.594098i −0.984989 0.172618i \(-0.944777\pi\)
0.641986 + 0.766716i \(0.278111\pi\)
\(104\) 3837.98 + 2215.86i 0.354843 + 0.204869i
\(105\) 455.192 793.868i 0.0412872 0.0720062i
\(106\) 1292.34 + 2238.41i 0.115018 + 0.199217i
\(107\) 2345.46i 0.204861i −0.994740 0.102431i \(-0.967338\pi\)
0.994740 0.102431i \(-0.0326620\pi\)
\(108\) −5076.52 2870.74i −0.435230 0.246120i
\(109\) 5878.01 0.494740 0.247370 0.968921i \(-0.420434\pi\)
0.247370 + 0.968921i \(0.420434\pi\)
\(110\) −9713.07 + 5607.84i −0.802733 + 0.463458i
\(111\) 14397.4 + 8255.24i 1.16853 + 0.670014i
\(112\) −86.6931 + 150.157i −0.00691112 + 0.0119704i
\(113\) −12321.8 7113.99i −0.964977 0.557130i −0.0672755 0.997734i \(-0.521431\pi\)
−0.897701 + 0.440605i \(0.854764\pi\)
\(114\) −12774.8 + 38.0627i −0.982982 + 0.00292880i
\(115\) −7437.92 12882.9i −0.562414 0.974129i
\(116\) 4313.48i 0.320562i
\(117\) 15864.1 94.5351i 1.15889 0.00690592i
\(118\) −3731.20 −0.267969
\(119\) −1051.45 + 607.055i −0.0742497 + 0.0428681i
\(120\) −6607.77 + 3841.29i −0.458873 + 0.266756i
\(121\) −1739.15 + 3012.30i −0.118786 + 0.205744i
\(122\) −10113.5 5839.06i −0.679491 0.392304i
\(123\) 759.804 + 1307.01i 0.0502217 + 0.0863911i
\(124\) 2382.87 + 4127.25i 0.154973 + 0.268422i
\(125\) 5953.07i 0.380996i
\(126\) 3.69858 + 620.664i 0.000232967 + 0.0390945i
\(127\) 10022.6 0.621402 0.310701 0.950508i \(-0.399436\pi\)
0.310701 + 0.950508i \(0.399436\pi\)
\(128\) 1254.14 724.077i 0.0765466 0.0441942i
\(129\) 16.6543 + 5589.60i 0.00100080 + 0.335893i
\(130\) 10395.6 18005.7i 0.615123 1.06542i
\(131\) −19690.8 11368.5i −1.14742 0.662461i −0.199160 0.979967i \(-0.563821\pi\)
−0.948256 + 0.317506i \(0.897155\pi\)
\(132\) 3783.89 6599.21i 0.217165 0.378743i
\(133\) 679.789 + 1177.43i 0.0384300 + 0.0665628i
\(134\) 18903.2i 1.05275i
\(135\) −13467.9 + 23816.2i −0.738979 + 1.30679i
\(136\) 10140.5 0.548253
\(137\) 9464.53 5464.35i 0.504264 0.291137i −0.226209 0.974079i \(-0.572633\pi\)
0.730473 + 0.682942i \(0.239300\pi\)
\(138\) 8752.82 + 5018.73i 0.459610 + 0.263533i
\(139\) 11963.9 20722.1i 0.619217 1.07251i −0.370412 0.928868i \(-0.620784\pi\)
0.989629 0.143647i \(-0.0458831\pi\)
\(140\) 704.452 + 406.715i 0.0359414 + 0.0207508i
\(141\) 6775.35 20.1872i 0.340795 0.00101540i
\(142\) −4083.24 7072.38i −0.202502 0.350743i
\(143\) 20692.9i 1.01193i
\(144\) 2565.20 4504.84i 0.123708 0.217247i
\(145\) −20236.4 −0.962495
\(146\) −291.061 + 168.044i −0.0136546 + 0.00788348i
\(147\) −18624.6 + 10827.0i −0.861889 + 0.501042i
\(148\) −7376.09 + 12775.8i −0.336746 + 0.583262i
\(149\) 5527.74 + 3191.44i 0.248986 + 0.143752i 0.619300 0.785155i \(-0.287417\pi\)
−0.370314 + 0.928907i \(0.620750\pi\)
\(150\) 10025.2 + 17245.3i 0.445565 + 0.766459i
\(151\) 15708.6 + 27208.2i 0.688945 + 1.19329i 0.972180 + 0.234237i \(0.0752592\pi\)
−0.283235 + 0.959051i \(0.591408\pi\)
\(152\) 11355.5i 0.491493i
\(153\) 31328.2 18337.1i 1.33830 0.783335i
\(154\) −809.588 −0.0341368
\(155\) 19362.8 11179.1i 0.805942 0.465311i
\(156\) 42.0158 + 14101.6i 0.00172649 + 0.579453i
\(157\) 5772.07 9997.52i 0.234171 0.405595i −0.724861 0.688896i \(-0.758096\pi\)
0.959031 + 0.283300i \(0.0914292\pi\)
\(158\) 19197.9 + 11083.9i 0.769023 + 0.443996i
\(159\) −4090.98 + 7134.79i −0.161820 + 0.282219i
\(160\) −3396.97 5883.72i −0.132694 0.229833i
\(161\) 1073.79i 0.0414255i
\(162\) −221.161 18556.0i −0.00842710 0.707057i
\(163\) −42242.8 −1.58993 −0.794964 0.606657i \(-0.792510\pi\)
−0.794964 + 0.606657i \(0.792510\pi\)
\(164\) −1163.79 + 671.917i −0.0432702 + 0.0249820i
\(165\) −30959.8 17751.9i −1.13718 0.652043i
\(166\) −7192.02 + 12456.9i −0.260996 + 0.452059i
\(167\) −17363.1 10024.6i −0.622577 0.359445i 0.155294 0.987868i \(-0.450367\pi\)
−0.777872 + 0.628423i \(0.783701\pi\)
\(168\) −551.709 + 1.64382i −0.0195475 + 5.82420e-5i
\(169\) −4899.32 8485.86i −0.171539 0.297114i
\(170\) 47573.5i 1.64614i
\(171\) −20534.1 35081.7i −0.702238 1.19974i
\(172\) −4968.55 −0.167947
\(173\) −32954.3 + 19026.1i −1.10108 + 0.635709i −0.936505 0.350655i \(-0.885959\pi\)
−0.164576 + 0.986364i \(0.552626\pi\)
\(174\) 11866.1 6898.10i 0.391930 0.227840i
\(175\) 1061.47 1838.52i 0.0346602 0.0600333i
\(176\) 5855.92 + 3380.92i 0.189047 + 0.109146i
\(177\) −5966.92 10264.3i −0.190460 0.327628i
\(178\) 14545.3 + 25193.2i 0.459073 + 0.795138i
\(179\) 33794.9i 1.05474i 0.849636 + 0.527370i \(0.176822\pi\)
−0.849636 + 0.527370i \(0.823178\pi\)
\(180\) −21134.2 12034.5i −0.652290 0.371435i
\(181\) 44812.8 1.36787 0.683935 0.729543i \(-0.260267\pi\)
0.683935 + 0.729543i \(0.260267\pi\)
\(182\) 1299.71 750.389i 0.0392378 0.0226540i
\(183\) −110.717 37159.4i −0.00330606 1.10960i
\(184\) −4484.26 + 7766.96i −0.132451 + 0.229412i
\(185\) 59936.7 + 34604.5i 1.75126 + 1.01109i
\(186\) −7543.09 + 13155.4i −0.218034 + 0.380257i
\(187\) 23674.4 + 41005.2i 0.677010 + 1.17262i
\(188\) 6022.56i 0.170398i
\(189\) −1701.49 + 1002.74i −0.0476326 + 0.0280714i
\(190\) −53273.4 −1.47572
\(191\) 11359.5 6558.40i 0.311381 0.179776i −0.336163 0.941804i \(-0.609129\pi\)
0.647544 + 0.762028i \(0.275796\pi\)
\(192\) 3997.49 + 2292.10i 0.108439 + 0.0621772i
\(193\) −1155.92 + 2002.11i −0.0310322 + 0.0537493i −0.881124 0.472885i \(-0.843213\pi\)
0.850092 + 0.526634i \(0.176546\pi\)
\(194\) −2157.53 1245.65i −0.0573262 0.0330973i
\(195\) 66156.7 197.115i 1.73982 0.00518382i
\(196\) −9574.64 16583.8i −0.249236 0.431689i
\(197\) 13110.0i 0.337808i −0.985632 0.168904i \(-0.945977\pi\)
0.985632 0.168904i \(-0.0540228\pi\)
\(198\) 24205.1 144.240i 0.617414 0.00367922i
\(199\) −10592.0 −0.267467 −0.133733 0.991017i \(-0.542697\pi\)
−0.133733 + 0.991017i \(0.542697\pi\)
\(200\) −15355.7 + 8865.59i −0.383891 + 0.221640i
\(201\) −52001.3 + 30229.9i −1.28713 + 0.748247i
\(202\) 5836.90 10109.8i 0.143047 0.247765i
\(203\) −1265.04 730.370i −0.0306981 0.0177235i
\(204\) 16216.6 + 27895.7i 0.389672 + 0.670312i
\(205\) 3152.26 + 5459.87i 0.0750091 + 0.129920i
\(206\) 20584.8i 0.485079i
\(207\) 191.312 + 32104.3i 0.00446479 + 0.749242i
\(208\) −12534.8 −0.289728
\(209\) 45918.2 26510.9i 1.05122 0.606920i
\(210\) 7.71190 + 2588.31i 0.000174873 + 0.0586918i
\(211\) 6692.11 11591.1i 0.150314 0.260351i −0.781029 0.624495i \(-0.785305\pi\)
0.931343 + 0.364144i \(0.118638\pi\)
\(212\) −6331.17 3655.30i −0.140868 0.0813302i
\(213\) 12925.7 22542.8i 0.284901 0.496876i
\(214\) 3316.98 + 5745.18i 0.0724295 + 0.125451i
\(215\) 23309.7i 0.504266i
\(216\) 16494.7 147.442i 0.353539 0.00316020i
\(217\) 1613.89 0.0342733
\(218\) −14398.1 + 8312.75i −0.302965 + 0.174917i
\(219\) −927.741 531.952i −0.0193436 0.0110913i
\(220\) 15861.4 27472.7i 0.327714 0.567618i
\(221\) −76013.6 43886.5i −1.55635 0.898558i
\(222\) −46941.0 + 139.861i −0.952458 + 0.00283786i
\(223\) −28939.5 50124.7i −0.581944 1.00796i −0.995249 0.0973637i \(-0.968959\pi\)
0.413305 0.910593i \(-0.364374\pi\)
\(224\) 490.410i 0.00977380i
\(225\) −31408.3 + 55157.2i −0.620411 + 1.08953i
\(226\) 40242.8 0.787900
\(227\) −24205.4 + 13975.0i −0.469742 + 0.271206i −0.716132 0.697965i \(-0.754089\pi\)
0.246389 + 0.969171i \(0.420756\pi\)
\(228\) 31238.0 18159.6i 0.600916 0.349330i
\(229\) 29733.6 51500.1i 0.566991 0.982058i −0.429870 0.902891i \(-0.641441\pi\)
0.996861 0.0791669i \(-0.0252260\pi\)
\(230\) 36438.2 + 21037.6i 0.688813 + 0.397687i
\(231\) −1294.69 2227.11i −0.0242628 0.0417368i
\(232\) 6100.19 + 10565.8i 0.113336 + 0.196303i
\(233\) 17091.6i 0.314826i 0.987533 + 0.157413i \(0.0503154\pi\)
−0.987533 + 0.157413i \(0.949685\pi\)
\(234\) −38725.2 + 22666.7i −0.707232 + 0.413959i
\(235\) 28254.5 0.511624
\(236\) 9139.55 5276.72i 0.164097 0.0947415i
\(237\) 210.166 + 70537.2i 0.00374168 + 1.25580i
\(238\) 1717.01 2973.95i 0.0303123 0.0525025i
\(239\) −76828.5 44356.9i −1.34501 0.776543i −0.357474 0.933923i \(-0.616362\pi\)
−0.987538 + 0.157380i \(0.949695\pi\)
\(240\) 10753.2 18754.0i 0.186688 0.325590i
\(241\) −27553.4 47723.9i −0.474396 0.821678i 0.525174 0.850995i \(-0.324000\pi\)
−0.999570 + 0.0293170i \(0.990667\pi\)
\(242\) 9838.12i 0.167989i
\(243\) 50692.4 30283.0i 0.858481 0.512846i
\(244\) 33030.7 0.554802
\(245\) −77801.7 + 44918.9i −1.29616 + 0.748336i
\(246\) −3709.53 2126.98i −0.0612983 0.0351475i
\(247\) −49144.7 + 85121.1i −0.805532 + 1.39522i
\(248\) −11673.6 6739.78i −0.189803 0.109583i
\(249\) −45769.5 + 136.371i −0.738206 + 0.00219949i
\(250\) 8418.91 + 14582.0i 0.134703 + 0.233312i
\(251\) 99498.8i 1.57932i −0.613544 0.789661i \(-0.710257\pi\)
0.613544 0.789661i \(-0.289743\pi\)
\(252\) −886.812 1515.08i −0.0139647 0.0238580i
\(253\) −41876.5 −0.654228
\(254\) −24550.2 + 14174.1i −0.380529 + 0.219699i
\(255\) 130871. 76079.2i 2.01263 1.17000i
\(256\) −2048.00 + 3547.24i −0.0312500 + 0.0541266i
\(257\) 105289. + 60788.7i 1.59411 + 0.920357i 0.992592 + 0.121495i \(0.0387689\pi\)
0.601514 + 0.798862i \(0.294564\pi\)
\(258\) −7945.68 13668.1i −0.119369 0.205338i
\(259\) 2497.88 + 4326.45i 0.0372367 + 0.0644959i
\(260\) 58806.2i 0.869915i
\(261\) 37952.3 + 21611.2i 0.557130 + 0.317248i
\(262\) 64309.9 0.936862
\(263\) 104388. 60268.5i 1.50917 0.871322i 0.509231 0.860630i \(-0.329930\pi\)
0.999943 0.0106920i \(-0.00340345\pi\)
\(264\) 64.1069 + 21515.9i 0.000919808 + 0.308711i
\(265\) −17148.6 + 29702.3i −0.244196 + 0.422959i
\(266\) −3330.27 1922.73i −0.0470670 0.0271741i
\(267\) −46043.7 + 80301.7i −0.645874 + 1.12642i
\(268\) −26733.2 46303.2i −0.372204 0.644677i
\(269\) 66714.5i 0.921968i 0.887408 + 0.460984i \(0.152504\pi\)
−0.887408 + 0.460984i \(0.847496\pi\)
\(270\) −691.716 77384.0i −0.00948856 1.06151i
\(271\) 110531. 1.50503 0.752517 0.658573i \(-0.228839\pi\)
0.752517 + 0.658573i \(0.228839\pi\)
\(272\) −24839.0 + 14340.8i −0.335735 + 0.193837i
\(273\) 4142.76 + 2375.39i 0.0555858 + 0.0318720i
\(274\) −15455.5 + 26769.7i −0.205865 + 0.356568i
\(275\) −71699.8 41395.9i −0.948097 0.547384i
\(276\) −28537.5 + 85.0278i −0.374626 + 0.00111620i
\(277\) 38191.1 + 66148.9i 0.497740 + 0.862110i 0.999997 0.00260812i \(-0.000830190\pi\)
−0.502257 + 0.864718i \(0.667497\pi\)
\(278\) 67678.0i 0.875705i
\(279\) −48252.3 + 287.539i −0.619883 + 0.00369393i
\(280\) −2300.73 −0.0293460
\(281\) 28868.9 16667.5i 0.365610 0.211085i −0.305929 0.952054i \(-0.598967\pi\)
0.671539 + 0.740970i \(0.265634\pi\)
\(282\) −16567.6 + 9631.23i −0.208334 + 0.121111i
\(283\) −43833.2 + 75921.3i −0.547306 + 0.947962i 0.451152 + 0.892447i \(0.351013\pi\)
−0.998458 + 0.0555146i \(0.982320\pi\)
\(284\) 20003.7 + 11549.1i 0.248013 + 0.143190i
\(285\) −85194.6 146551.i −1.04887 1.80426i
\(286\) −29264.2 50687.1i −0.357771 0.619677i
\(287\) 455.083i 0.00552493i
\(288\) 87.3738 + 14662.3i 0.00105341 + 0.176774i
\(289\) −117318. −1.40465
\(290\) 49569.0 28618.7i 0.589405 0.340293i
\(291\) −23.6193 7927.23i −0.000278920 0.0936128i
\(292\) 475.301 823.246i 0.00557447 0.00965526i
\(293\) 141866. + 81906.4i 1.65251 + 0.954076i 0.976037 + 0.217606i \(0.0698249\pi\)
0.676471 + 0.736469i \(0.263508\pi\)
\(294\) 30309.0 52859.8i 0.350652 0.611548i
\(295\) −24755.4 42877.6i −0.284463 0.492705i
\(296\) 41725.5i 0.476231i
\(297\) 39105.4 + 66355.7i 0.443327 + 0.752256i
\(298\) −18053.5 −0.203296
\(299\) 67228.5 38814.4i 0.751988 0.434160i
\(300\) −48945.2 28064.4i −0.543836 0.311827i
\(301\) −841.288 + 1457.15i −0.00928564 + 0.0160832i
\(302\) −76956.3 44430.7i −0.843782 0.487158i
\(303\) 37145.6 110.676i 0.404597 0.00120550i
\(304\) 16059.0 + 27815.1i 0.173769 + 0.300977i
\(305\) 154962.i 1.66581i
\(306\) −50805.4 + 89221.2i −0.542584 + 0.952852i
\(307\) −50704.2 −0.537981 −0.268991 0.963143i \(-0.586690\pi\)
−0.268991 + 0.963143i \(0.586690\pi\)
\(308\) 1983.08 1144.93i 0.0209044 0.0120692i
\(309\) 56627.3 32919.1i 0.593074 0.344771i
\(310\) −31619.3 + 54766.2i −0.329025 + 0.569887i
\(311\) −32107.8 18537.4i −0.331963 0.191659i 0.324749 0.945800i \(-0.394720\pi\)
−0.656712 + 0.754141i \(0.728053\pi\)
\(312\) −20045.6 34482.3i −0.205925 0.354231i
\(313\) −88549.2 153372.i −0.903849 1.56551i −0.822454 0.568831i \(-0.807396\pi\)
−0.0813950 0.996682i \(-0.525938\pi\)
\(314\) 32651.8i 0.331167i
\(315\) −7107.91 + 4160.42i −0.0716343 + 0.0419292i
\(316\) −62700.1 −0.627905
\(317\) −24457.9 + 14120.8i −0.243389 + 0.140521i −0.616733 0.787172i \(-0.711544\pi\)
0.373344 + 0.927693i \(0.378211\pi\)
\(318\) −69.3097 23262.1i −0.000685393 0.230035i
\(319\) −28483.5 + 49334.8i −0.279905 + 0.484810i
\(320\) 16641.7 + 9608.07i 0.162516 + 0.0938288i
\(321\) −10500.0 + 18312.4i −0.101902 + 0.177720i
\(322\) 1518.57 + 2630.24i 0.0146461 + 0.0253679i
\(323\) 224902.i 2.15570i
\(324\) 26783.9 + 45139.9i 0.255143 + 0.430003i
\(325\) 153476. 1.45303
\(326\) 103473. 59740.3i 0.973628 0.562124i
\(327\) −45893.1 26314.4i −0.429192 0.246092i
\(328\) 1900.47 3291.71i 0.0176650 0.0305966i
\(329\) 1766.27 + 1019.75i 0.0163179 + 0.00942114i
\(330\) 100941. 300.754i 0.926912 0.00276174i
\(331\) 81696.9 + 141503.i 0.745675 + 1.29155i 0.949879 + 0.312618i \(0.101206\pi\)
−0.204204 + 0.978928i \(0.565461\pi\)
\(332\) 40684.2i 0.369105i
\(333\) −75452.4 128907.i −0.680432 1.16249i
\(334\) 56707.5 0.508332
\(335\) −217229. + 125417.i −1.93566 + 1.11755i
\(336\) 1349.08 784.261i 0.0119498 0.00694676i
\(337\) 99115.2 171673.i 0.872731 1.51161i 0.0135713 0.999908i \(-0.495680\pi\)
0.859160 0.511707i \(-0.170987\pi\)
\(338\) 24001.6 + 13857.4i 0.210091 + 0.121296i
\(339\) 64356.0 + 110705.i 0.560002 + 0.963312i
\(340\) 67279.1 + 116531.i 0.581999 + 1.00805i
\(341\) 62939.8i 0.541273i
\(342\) 99911.2 + 56892.6i 0.854205 + 0.486412i
\(343\) −12989.5 −0.110409
\(344\) 12170.4 7026.60i 0.102846 0.0593784i
\(345\) 398.903 + 133882.i 0.00335142 + 1.12482i
\(346\) 53814.1 93208.7i 0.449514 0.778582i
\(347\) 28124.2 + 16237.5i 0.233572 + 0.134853i 0.612219 0.790688i \(-0.290277\pi\)
−0.378647 + 0.925541i \(0.623610\pi\)
\(348\) −19310.4 + 33678.0i −0.159453 + 0.278091i
\(349\) 73033.8 + 126498.i 0.599616 + 1.03856i 0.992878 + 0.119138i \(0.0380132\pi\)
−0.393262 + 0.919426i \(0.628653\pi\)
\(350\) 6004.58i 0.0490169i
\(351\) −124284. 70281.5i −1.00879 0.570462i
\(352\) −19125.4 −0.154356
\(353\) −151652. + 87556.5i −1.21703 + 0.702650i −0.964280 0.264883i \(-0.914667\pi\)
−0.252745 + 0.967533i \(0.581333\pi\)
\(354\) 29131.8 + 16703.7i 0.232466 + 0.133293i
\(355\) 54182.1 93846.2i 0.429932 0.744663i
\(356\) −71257.0 41140.3i −0.562248 0.324614i
\(357\) 10926.9 32.5569i 0.0857358 0.000255451i
\(358\) −47793.3 82780.4i −0.372907 0.645894i
\(359\) 217198.i 1.68526i −0.538492 0.842631i \(-0.681006\pi\)
0.538492 0.842631i \(-0.318994\pi\)
\(360\) 68787.3 409.909i 0.530766 0.00316288i
\(361\) 121527. 0.932524
\(362\) −109768. + 63374.9i −0.837646 + 0.483615i
\(363\) 27063.9 15733.1i 0.205389 0.119399i
\(364\) −2122.42 + 3676.14i −0.0160188 + 0.0277453i
\(365\) −3862.21 2229.85i −0.0289901 0.0167375i
\(366\) 52822.5 + 90864.9i 0.394327 + 0.678319i
\(367\) −92816.7 160763.i −0.689119 1.19359i −0.972123 0.234470i \(-0.924664\pi\)
0.283004 0.959119i \(-0.408669\pi\)
\(368\) 25366.8i 0.187314i
\(369\) −81.0796 13606.1i −0.000595469 0.0999264i
\(370\) −195753. −1.42989
\(371\) −2144.02 + 1237.85i −0.0155769 + 0.00899332i
\(372\) −127.796 42891.5i −0.000923486 0.309945i
\(373\) −39939.9 + 69178.0i −0.287071 + 0.497222i −0.973109 0.230344i \(-0.926015\pi\)
0.686038 + 0.727565i \(0.259348\pi\)
\(374\) −115980. 66961.2i −0.829165 0.478718i
\(375\) −26650.4 + 46479.2i −0.189514 + 0.330519i
\(376\) −8517.18 14752.2i −0.0602449 0.104347i
\(377\) 105603.i 0.743007i
\(378\) 2749.69 4862.46i 0.0192442 0.0340308i
\(379\) −56872.1 −0.395932 −0.197966 0.980209i \(-0.563434\pi\)
−0.197966 + 0.980209i \(0.563434\pi\)
\(380\) 130493. 75340.0i 0.903690 0.521745i
\(381\) −78252.4 44868.7i −0.539073 0.309096i
\(382\) −18550.0 + 32129.5i −0.127121 + 0.220180i
\(383\) 84583.3 + 48834.2i 0.576617 + 0.332910i 0.759788 0.650171i \(-0.225303\pi\)
−0.183171 + 0.983081i \(0.558636\pi\)
\(384\) −13033.3 + 38.8330i −0.0883880 + 0.000263353i
\(385\) −5371.37 9303.49i −0.0362380 0.0627660i
\(386\) 6538.86i 0.0438862i
\(387\) 24893.2 43715.9i 0.166211 0.291889i
\(388\) 7046.45 0.0468066
\(389\) −74946.6 + 43270.4i −0.495282 + 0.285951i −0.726763 0.686888i \(-0.758976\pi\)
0.231481 + 0.972839i \(0.425643\pi\)
\(390\) −161771. + 94042.6i −1.06359 + 0.618294i
\(391\) 88813.5 153830.i 0.580932 1.00620i
\(392\) 46906.0 + 27081.2i 0.305250 + 0.176236i
\(393\) 102844. + 176912.i 0.665877 + 1.14544i
\(394\) 18540.3 + 32112.8i 0.119433 + 0.206864i
\(395\) 294154.i 1.88530i
\(396\) −59086.2 + 34584.5i −0.376787 + 0.220542i
\(397\) −13531.3 −0.0858537 −0.0429268 0.999078i \(-0.513668\pi\)
−0.0429268 + 0.999078i \(0.513668\pi\)
\(398\) 25944.9 14979.3i 0.163789 0.0945638i
\(399\) −36.4577 12236.1i −0.000229004 0.0768597i
\(400\) 25075.7 43432.4i 0.156723 0.271452i
\(401\) 22448.2 + 12960.5i 0.139603 + 0.0805996i 0.568175 0.822908i \(-0.307650\pi\)
−0.428572 + 0.903508i \(0.640983\pi\)
\(402\) 84625.1 147589.i 0.523657 0.913275i
\(403\) 58337.5 + 101044.i 0.359201 + 0.622155i
\(404\) 33018.5i 0.202299i
\(405\) 211771. 125655.i 1.29109 0.766072i
\(406\) 4131.59 0.0250649
\(407\) 168726. 97413.9i 1.01857 0.588074i
\(408\) −79172.9 45396.5i −0.475616 0.272711i
\(409\) 20360.8 35266.0i 0.121716 0.210819i −0.798728 0.601692i \(-0.794493\pi\)
0.920445 + 0.390873i \(0.127827\pi\)
\(410\) −15442.9 8915.94i −0.0918671 0.0530395i
\(411\) −98357.8 + 293.058i −0.582271 + 0.00173488i
\(412\) 29111.3 + 50422.3i 0.171501 + 0.297049i
\(413\) 3573.87i 0.0209526i
\(414\) −45870.9 78368.5i −0.267631 0.457237i
\(415\) −190867. −1.10824
\(416\) 30703.8 17726.9i 0.177421 0.102434i
\(417\) −186177. + 108230.i −1.07067 + 0.622410i
\(418\) −74984.1 + 129876.i −0.429157 + 0.743323i
\(419\) 44556.0 + 25724.4i 0.253792 + 0.146527i 0.621499 0.783415i \(-0.286524\pi\)
−0.367707 + 0.929942i \(0.619857\pi\)
\(420\) −3679.31 6329.13i −0.0208578 0.0358794i
\(421\) 91333.7 + 158195.i 0.515308 + 0.892540i 0.999842 + 0.0177674i \(0.00565585\pi\)
−0.484534 + 0.874772i \(0.661011\pi\)
\(422\) 37856.3i 0.212576i
\(423\) −52989.6 30174.0i −0.296149 0.168637i
\(424\) 20677.5 0.115018
\(425\) 304129. 175589.i 1.68376 0.972117i
\(426\) 218.988 + 73498.0i 0.00120671 + 0.405001i
\(427\) 5592.84 9687.08i 0.0306744 0.0531297i
\(428\) −16249.8 9381.83i −0.0887076 0.0512154i
\(429\) 92637.2 161562.i 0.503351 0.877859i
\(430\) −32964.9 57096.8i −0.178285 0.308798i
\(431\) 78404.3i 0.422071i 0.977478 + 0.211035i \(0.0676835\pi\)
−0.977478 + 0.211035i \(0.932316\pi\)
\(432\) −40195.2 + 23688.2i −0.215380 + 0.126930i
\(433\) −330583. −1.76321 −0.881606 0.471986i \(-0.843537\pi\)
−0.881606 + 0.471986i \(0.843537\pi\)
\(434\) −3953.22 + 2282.39i −0.0209880 + 0.0121174i
\(435\) 157998. + 90593.7i 0.834975 + 0.478762i
\(436\) 23512.0 40724.0i 0.123685 0.214229i
\(437\) −172260. 99454.6i −0.902034 0.520789i
\(438\) 3024.78 9.01238i 0.0157669 4.69776e-5i
\(439\) 123906. + 214611.i 0.642927 + 1.11358i 0.984776 + 0.173828i \(0.0556136\pi\)
−0.341849 + 0.939755i \(0.611053\pi\)
\(440\) 89725.5i 0.463458i
\(441\) 193883. 1155.36i 0.996925 0.00594075i
\(442\) 248260. 1.27075
\(443\) 136274. 78678.0i 0.694395 0.400909i −0.110862 0.993836i \(-0.535361\pi\)
0.805256 + 0.592927i \(0.202028\pi\)
\(444\) 114784. 66727.1i 0.582256 0.338483i
\(445\) −193007. + 334298.i −0.974660 + 1.68816i
\(446\) 141774. + 81853.2i 0.712733 + 0.411496i
\(447\) −28871.1 49663.8i −0.144493 0.248557i
\(448\) 693.545 + 1201.25i 0.00345556 + 0.00598521i
\(449\) 27735.6i 0.137577i −0.997631 0.0687883i \(-0.978087\pi\)
0.997631 0.0687883i \(-0.0219133\pi\)
\(450\) −1069.80 179525.i −0.00528298 0.886544i
\(451\) 17747.6 0.0872544
\(452\) −98574.3 + 56911.9i −0.482488 + 0.278565i
\(453\) −842.469 282754.i −0.00410542 1.37788i
\(454\) 39527.2 68463.1i 0.191772 0.332158i
\(455\) 17246.4 + 9957.22i 0.0833059 + 0.0480967i
\(456\) −50835.6 + 88658.9i −0.244477 + 0.426376i
\(457\) −6958.48 12052.4i −0.0333182 0.0577089i 0.848885 0.528577i \(-0.177274\pi\)
−0.882204 + 0.470868i \(0.843941\pi\)
\(458\) 168199.i 0.801847i
\(459\) −326689. + 2920.18i −1.55063 + 0.0138607i
\(460\) −119007. −0.562414
\(461\) −351627. + 203012.i −1.65455 + 0.955256i −0.679386 + 0.733781i \(0.737754\pi\)
−0.975166 + 0.221475i \(0.928913\pi\)
\(462\) 6320.94 + 3624.33i 0.0296141 + 0.0169802i
\(463\) 137743. 238578.i 0.642550 1.11293i −0.342311 0.939587i \(-0.611210\pi\)
0.984862 0.173343i \(-0.0554569\pi\)
\(464\) −29884.7 17253.9i −0.138807 0.0801405i
\(465\) −201223. + 599.546i −0.930618 + 0.00277279i
\(466\) −24171.2 41865.7i −0.111308 0.192791i
\(467\) 327264.i 1.50060i −0.661098 0.750300i \(-0.729909\pi\)
0.661098 0.750300i \(-0.270091\pi\)
\(468\) 62801.3 110288.i 0.286733 0.503541i
\(469\) −18106.1 −0.0823151
\(470\) −69209.0 + 39957.8i −0.313305 + 0.180887i
\(471\) −89822.5 + 52216.5i −0.404896 + 0.235378i
\(472\) −14924.8 + 25850.5i −0.0669923 + 0.116034i
\(473\) 56827.1 + 32809.1i 0.254000 + 0.146647i
\(474\) −100270. 172483.i −0.446285 0.767697i
\(475\) −196627. 340567.i −0.871476 1.50944i
\(476\) 9712.88i 0.0428681i
\(477\) 63881.4 37391.3i 0.280762 0.164336i
\(478\) 250921. 1.09820
\(479\) 5079.20 2932.48i 0.0221373 0.0127810i −0.488891 0.872345i \(-0.662598\pi\)
0.511028 + 0.859564i \(0.329265\pi\)
\(480\) 182.182 + 61145.1i 0.000790723 + 0.265387i
\(481\) −180582. + 312777.i −0.780519 + 1.35190i
\(482\) 134983. + 77932.7i 0.581014 + 0.335449i
\(483\) −4807.10 + 8383.74i −0.0206058 + 0.0359371i
\(484\) 13913.2 + 24098.4i 0.0593932 + 0.102872i
\(485\) 33058.0i 0.140538i
\(486\) −81343.9 + 145868.i −0.344392 + 0.617571i
\(487\) 119183. 0.502524 0.251262 0.967919i \(-0.419154\pi\)
0.251262 + 0.967919i \(0.419154\pi\)
\(488\) −80908.4 + 46712.5i −0.339746 + 0.196152i
\(489\) 329815. + 189111.i 1.37928 + 0.790858i
\(490\) 127050. 220057.i 0.529153 0.916521i
\(491\) −134236. 77501.3i −0.556810 0.321474i 0.195054 0.980792i \(-0.437512\pi\)
−0.751864 + 0.659318i \(0.770845\pi\)
\(492\) 12094.5 36.0356i 0.0499639 0.000148868i
\(493\) −120818. 209263.i −0.497093 0.860991i
\(494\) 278005.i 1.13919i
\(495\) 162251. + 277199.i 0.662182 + 1.13131i
\(496\) 38125.9 0.154973
\(497\) 6774.15 3911.06i 0.0274247 0.0158337i
\(498\) 111919. 65061.9i 0.451279 0.262342i
\(499\) 51906.9 89905.4i 0.208461 0.361065i −0.742769 0.669548i \(-0.766488\pi\)
0.951230 + 0.308483i \(0.0998213\pi\)
\(500\) −41244.1 23812.3i −0.164976 0.0952491i
\(501\) 90686.3 + 155998.i 0.361299 + 0.621504i
\(502\) 140713. + 243721.i 0.558374 + 0.967133i
\(503\) 48040.5i 0.189876i 0.995483 + 0.0949382i \(0.0302654\pi\)
−0.995483 + 0.0949382i \(0.969735\pi\)
\(504\) 4314.88 + 2457.03i 0.0169867 + 0.00967275i
\(505\) 154904. 0.607408
\(506\) 102576. 59222.3i 0.400631 0.231304i
\(507\) 262.755 + 88187.3i 0.00102220 + 0.343076i
\(508\) 40090.4 69438.6i 0.155350 0.269075i
\(509\) −245324. 141638.i −0.946902 0.546694i −0.0547847 0.998498i \(-0.517447\pi\)
−0.892117 + 0.451804i \(0.850781\pi\)
\(510\) −212975. + 371435.i −0.818819 + 1.42805i
\(511\) −160.958 278.788i −0.000616413 0.00106766i
\(512\) 11585.2i 0.0441942i
\(513\) 3270.06 + 365830.i 0.0124257 + 1.39010i
\(514\) −343873. −1.30158
\(515\) 236553. 136574.i 0.891896 0.514937i
\(516\) 38792.5 + 22243.0i 0.145696 + 0.0835399i
\(517\) 39769.1 68882.1i 0.148787 0.257706i
\(518\) −12237.0 7065.06i −0.0456055 0.0263303i
\(519\) 342469. 1020.39i 1.27141 0.00378819i
\(520\) −83164.6 144045.i −0.307561 0.532712i
\(521\) 253304.i 0.933183i 0.884473 + 0.466591i \(0.154518\pi\)
−0.884473 + 0.466591i \(0.845482\pi\)
\(522\) −123527. + 736.104i −0.453335 + 0.00270146i
\(523\) 418405. 1.52966 0.764828 0.644234i \(-0.222824\pi\)
0.764828 + 0.644234i \(0.222824\pi\)
\(524\) −157527. + 90948.0i −0.573708 + 0.331231i
\(525\) −16518.1 + 9602.48i −0.0599297 + 0.0348389i
\(526\) −170465. + 295254.i −0.616118 + 1.06715i
\(527\) 231204. + 133486.i 0.832480 + 0.480632i
\(528\) −30585.2 52612.4i −0.109709 0.188721i
\(529\) −61371.5 106299.i −0.219308 0.379853i
\(530\) 97007.3i 0.345345i
\(531\) 636.737 + 106852.i 0.00225825 + 0.378959i
\(532\) 10876.6 0.0384300
\(533\) −28492.0 + 16449.9i −0.100293 + 0.0579040i
\(534\) −780.077 261814.i −0.00273561 0.918142i
\(535\) −44014.3 + 76235.0i −0.153775 + 0.266347i
\(536\) 130965. + 75612.9i 0.455855 + 0.263188i
\(537\) 151292. 263857.i 0.524646 0.914999i
\(538\) −94348.6 163417.i −0.325965 0.564588i
\(539\) 252899.i 0.870502i
\(540\) 111132. + 188573.i 0.381111 + 0.646684i
\(541\) 496984. 1.69804 0.849020 0.528360i \(-0.177193\pi\)
0.849020 + 0.528360i \(0.177193\pi\)
\(542\) −270745. + 156315.i −0.921642 + 0.532110i
\(543\) −349880. 200616.i −1.18664 0.680402i
\(544\) 40561.9 70255.3i 0.137063 0.237400i
\(545\) −191054. 110305.i −0.643226 0.371367i
\(546\) −13507.0 + 40.2441i −0.0453077 + 0.000134995i
\(547\) −214561. 371631.i −0.717094 1.24204i −0.962146 0.272534i \(-0.912138\pi\)
0.245052 0.969510i \(-0.421195\pi\)
\(548\) 87429.6i 0.291137i
\(549\) −165489. + 290621.i −0.549066 + 0.964235i
\(550\) 234171. 0.774118
\(551\) −234336. + 135294.i −0.771854 + 0.445630i
\(552\) 69782.1 40566.4i 0.229016 0.133134i
\(553\) −10616.5 + 18388.4i −0.0347162 + 0.0601302i
\(554\) −187097. 108021.i −0.609604 0.351955i
\(555\) −313046. 538500.i −1.01630 1.74824i
\(556\) −95711.1 165776.i −0.309608 0.536257i
\(557\) 208947.i 0.673482i −0.941597 0.336741i \(-0.890675\pi\)
0.941597 0.336741i \(-0.109325\pi\)
\(558\) 117787. 68943.4i 0.378293 0.221424i
\(559\) −121640. −0.389272
\(560\) 5635.61 3253.72i 0.0179707 0.0103754i
\(561\) −1269.68 426137.i −0.00403430 1.35401i
\(562\) −47142.7 + 81653.6i −0.149259 + 0.258525i
\(563\) −73412.4 42384.6i −0.231607 0.133719i 0.379706 0.925107i \(-0.376025\pi\)
−0.611313 + 0.791389i \(0.709358\pi\)
\(564\) 26961.5 47021.7i 0.0847591 0.147822i
\(565\) 266999. + 462455.i 0.836397 + 1.44868i
\(566\) 247958.i 0.774008i
\(567\) 17773.5 211.835i 0.0552850 0.000658919i
\(568\) −65331.8 −0.202502
\(569\) 283998. 163966.i 0.877185 0.506443i 0.00745565 0.999972i \(-0.497627\pi\)
0.869729 + 0.493529i \(0.164293\pi\)
\(570\) 415938. + 238492.i 1.28020 + 0.734048i
\(571\) −196916. + 341069.i −0.603962 + 1.04609i 0.388252 + 0.921553i \(0.373079\pi\)
−0.992215 + 0.124540i \(0.960254\pi\)
\(572\) 143365. + 82771.7i 0.438178 + 0.252982i
\(573\) −118051. + 351.733i −0.359550 + 0.00107128i
\(574\) −643.584 1114.72i −0.00195336 0.00338331i
\(575\) 310591.i 0.939404i
\(576\) −20949.7 35791.6i −0.0631440 0.107879i
\(577\) −405942. −1.21931 −0.609653 0.792669i \(-0.708691\pi\)
−0.609653 + 0.792669i \(0.708691\pi\)
\(578\) 287368. 165912.i 0.860168 0.496618i
\(579\) 17987.9 10456.9i 0.0536566 0.0311922i
\(580\) −80945.8 + 140202.i −0.240624 + 0.416772i
\(581\) −11931.7 6888.75i −0.0353467 0.0204074i
\(582\) 11268.6 + 19384.3i 0.0332679 + 0.0572273i
\(583\) 48274.5 + 83613.9i 0.142030 + 0.246004i
\(584\) 2688.71i 0.00788348i
\(585\) −517408. 294629.i −1.51189 0.860921i
\(586\) −463333. −1.34927
\(587\) −251224. + 145044.i −0.729096 + 0.420944i −0.818091 0.575088i \(-0.804968\pi\)
0.0889955 + 0.996032i \(0.471634\pi\)
\(588\) 513.497 + 172343.i 0.00148519 + 0.498469i
\(589\) 149479. 258905.i 0.430873 0.746295i
\(590\) 121276. + 70018.9i 0.348395 + 0.201146i
\(591\) −58690.3 + 102358.i −0.168032 + 0.293052i
\(592\) 59008.7 + 102206.i 0.168373 + 0.291631i
\(593\) 217450.i 0.618372i −0.951002 0.309186i \(-0.899943\pi\)
0.951002 0.309186i \(-0.100057\pi\)
\(594\) −189630. 107234.i −0.537444 0.303921i
\(595\) 45567.4 0.128712
\(596\) 44221.9 25531.5i 0.124493 0.0718761i
\(597\) 82697.7 + 47417.6i 0.232030 + 0.133043i
\(598\) −109784. + 190151.i −0.306998 + 0.531736i
\(599\) 414884. + 239534.i 1.15631 + 0.667595i 0.950416 0.310980i \(-0.100657\pi\)
0.205892 + 0.978575i \(0.433991\pi\)
\(600\) 159580. 475.470i 0.443278 0.00132075i
\(601\) 93655.9 + 162217.i 0.259290 + 0.449104i 0.966052 0.258348i \(-0.0831780\pi\)
−0.706762 + 0.707452i \(0.749845\pi\)
\(602\) 4759.04i 0.0131319i
\(603\) 541338. 3225.87i 1.48879 0.00887181i
\(604\) 251338. 0.688945
\(605\) 113056. 65273.0i 0.308875 0.178329i
\(606\) −90831.3 + 52802.9i −0.247338 + 0.143785i
\(607\) −13139.1 + 22757.6i −0.0356606 + 0.0617661i −0.883305 0.468799i \(-0.844687\pi\)
0.847644 + 0.530565i \(0.178020\pi\)
\(608\) −78672.9 45421.8i −0.212823 0.122873i
\(609\) 6607.22 + 11365.7i 0.0178149 + 0.0306451i
\(610\) 219149. + 379577.i 0.588951 + 1.02009i
\(611\) 147444.i 0.394953i
\(612\) −1730.49 290396.i −0.00462027 0.775333i
\(613\) 144548. 0.384672 0.192336 0.981329i \(-0.438394\pi\)
0.192336 + 0.981329i \(0.438394\pi\)
\(614\) 124199. 71706.6i 0.329445 0.190205i
\(615\) −169.059 56740.4i −0.000446979 0.150018i
\(616\) −3238.35 + 5608.99i −0.00853420 + 0.0147817i
\(617\) 398472. + 230058.i 1.04671 + 0.604319i 0.921727 0.387839i \(-0.126778\pi\)
0.124985 + 0.992159i \(0.460112\pi\)
\(618\) −92153.2 + 160718.i −0.241287 + 0.420812i
\(619\) −53625.4 92881.9i −0.139955 0.242410i 0.787524 0.616284i \(-0.211363\pi\)
−0.927479 + 0.373874i \(0.878029\pi\)
\(620\) 178866.i 0.465311i
\(621\) 142229. 251514.i 0.368813 0.652197i
\(622\) 104864. 0.271047
\(623\) −24130.8 + 13931.9i −0.0621722 + 0.0358951i
\(624\) 97866.7 + 56115.2i 0.251342 + 0.144116i
\(625\) 133166. 230650.i 0.340905 0.590464i
\(626\) 433801. + 250455.i 1.10698 + 0.639118i
\(627\) −477194. + 1421.80i −1.21384 + 0.00361663i
\(628\) −46176.6 79980.2i −0.117085 0.202798i
\(629\) 826399.i 2.08876i
\(630\) 11527.0 20243.0i 0.0290426 0.0510028i
\(631\) −585714. −1.47105 −0.735524 0.677498i \(-0.763064\pi\)
−0.735524 + 0.677498i \(0.763064\pi\)
\(632\) 153583. 88671.3i 0.384512 0.221998i
\(633\) −104140. + 60539.6i −0.259902 + 0.151089i
\(634\) 39939.7 69177.5i 0.0993632 0.172102i
\(635\) −325767. 188082.i −0.807903 0.466443i
\(636\) 33067.4 + 56882.3i 0.0817495 + 0.140625i
\(637\) −234407. 406004.i −0.577685 1.00058i
\(638\) 161127.i 0.395846i
\(639\) −201837. + 118140.i −0.494310 + 0.289331i
\(640\) −54351.4 −0.132694
\(641\) 269007. 155311.i 0.654707 0.377995i −0.135550 0.990770i \(-0.543280\pi\)
0.790257 + 0.612775i \(0.209947\pi\)
\(642\) −177.893 59705.4i −0.000431607 0.144858i
\(643\) −217352. + 376464.i −0.525704 + 0.910546i 0.473848 + 0.880607i \(0.342865\pi\)
−0.999552 + 0.0299390i \(0.990469\pi\)
\(644\) −7439.45 4295.17i −0.0179378 0.0103564i
\(645\) 104352. 181993.i 0.250831 0.437456i
\(646\) −318059. 550895.i −0.762155 1.32009i
\(647\) 491590.i 1.17434i −0.809463 0.587171i \(-0.800242\pi\)
0.809463 0.587171i \(-0.199758\pi\)
\(648\) −129444. 72691.7i −0.308271 0.173115i
\(649\) −139376. −0.330902
\(650\) −375938. + 217048.i −0.889793 + 0.513722i
\(651\) −12600.6 7225.01i −0.0297325 0.0170481i
\(652\) −168971. + 292667.i −0.397482 + 0.688459i
\(653\) −394771. 227921.i −0.925805 0.534514i −0.0403223 0.999187i \(-0.512838\pi\)
−0.885482 + 0.464673i \(0.846172\pi\)
\(654\) 149629. 445.821i 0.349832 0.00104233i
\(655\) 426677. + 739026.i 0.994527 + 1.72257i
\(656\) 10750.7i 0.0249820i
\(657\) 4862.01 + 8306.54i 0.0112638 + 0.0192437i
\(658\) −5768.60 −0.0133235
\(659\) 241349. 139343.i 0.555744 0.320859i −0.195692 0.980665i \(-0.562695\pi\)
0.751435 + 0.659807i \(0.229362\pi\)
\(660\) −246828. + 143488.i −0.566639 + 0.329404i
\(661\) 422668. 732082.i 0.967378 1.67555i 0.264291 0.964443i \(-0.414862\pi\)
0.703087 0.711104i \(-0.251805\pi\)
\(662\) −400231. 231074.i −0.913261 0.527272i
\(663\) 397015. + 682943.i 0.903192 + 1.55366i
\(664\) 57536.1 + 99655.5i 0.130498 + 0.226030i
\(665\) 51027.0i 0.115387i
\(666\) 367122. + 209051.i 0.827680 + 0.471308i
\(667\) 213709. 0.480366
\(668\) −138904. + 80196.5i −0.311289 + 0.179723i
\(669\) 1552.05 + 520908.i 0.00346780 + 1.16388i
\(670\) 354733. 614416.i 0.790228 1.36872i
\(671\) −377784. 218113.i −0.839070 0.484437i
\(672\) −2195.45 + 3828.93i −0.00486166 + 0.00847888i
\(673\) −48001.2 83140.5i −0.105980 0.183562i 0.808158 0.588965i \(-0.200464\pi\)
−0.914138 + 0.405403i \(0.867131\pi\)
\(674\) 560680.i 1.23423i
\(675\) 492149. 290038.i 1.08016 0.636572i
\(676\) −78389.0 −0.171539
\(677\) 389771. 225034.i 0.850416 0.490988i −0.0103749 0.999946i \(-0.503302\pi\)
0.860791 + 0.508958i \(0.169969\pi\)
\(678\) −314200. 180157.i −0.683512 0.391915i
\(679\) 1193.12 2066.55i 0.00258789 0.00448236i
\(680\) −329599. 190294.i −0.712800 0.411535i
\(681\) 251548. 749.491i 0.542409 0.00161611i
\(682\) 89010.3 + 154170.i 0.191369 + 0.331461i
\(683\) 429135.i 0.919926i −0.887938 0.459963i \(-0.847863\pi\)
0.887938 0.459963i \(-0.152137\pi\)
\(684\) −325190. + 1937.83i −0.695064 + 0.00414194i
\(685\) −410171. −0.874145
\(686\) 31817.6 18369.9i 0.0676114 0.0390354i
\(687\) −462701. + 268982.i −0.980364 + 0.569915i
\(688\) −19874.2 + 34423.2i −0.0419868 + 0.0727233i
\(689\) −155000. 89489.2i −0.326507 0.188509i
\(690\) −190315. 327378.i −0.399737 0.687625i
\(691\) 24875.5 + 43085.6i 0.0520973 + 0.0902352i 0.890898 0.454203i \(-0.150076\pi\)
−0.838801 + 0.544439i \(0.816743\pi\)
\(692\) 304418.i 0.635709i
\(693\) 138.158 + 23184.4i 0.000287679 + 0.0482759i
\(694\) −91853.2 −0.190711
\(695\) −777731. + 449023.i −1.61012 + 0.929606i
\(696\) −327.159 109803.i −0.000675367 0.226671i
\(697\) −37640.0 + 65194.4i −0.0774790 + 0.134198i
\(698\) −357791. 206571.i −0.734376 0.423992i
\(699\) 76514.9 133444.i 0.156600 0.273115i
\(700\) −8491.75 14708.1i −0.0173301 0.0300166i
\(701\) 291866.i 0.593946i 0.954886 + 0.296973i \(0.0959771\pi\)
−0.954886 + 0.296973i \(0.904023\pi\)
\(702\) 403824. 3609.68i 0.819442 0.00732478i
\(703\) 925414. 1.87252
\(704\) 46847.4 27047.3i 0.0945235 0.0545732i
\(705\) −220600. 126488.i −0.443840 0.254491i
\(706\) 247647. 428937.i 0.496848 0.860567i
\(707\) 9683.50 + 5590.77i 0.0193728 + 0.0111849i
\(708\) −94980.5 + 282.996i −0.189482 + 0.000564564i
\(709\) 103058. + 178501.i 0.205016 + 0.355099i 0.950138 0.311830i \(-0.100942\pi\)
−0.745122 + 0.666929i \(0.767609\pi\)
\(710\) 306500.i 0.608015i
\(711\) 314137. 551668.i 0.621413 1.09129i
\(712\) 232724. 0.459073
\(713\) −204483. + 118058.i −0.402233 + 0.232229i
\(714\) −26719.4 + 15532.8i −0.0524119 + 0.0304686i
\(715\) 388318. 672587.i 0.759584 1.31564i
\(716\) 234138. + 135180.i 0.456716 + 0.263685i
\(717\) 401271. + 690264.i 0.780547 + 1.34269i
\(718\) 307165. + 532025.i 0.595830 + 1.03201i
\(719\) 736226.i 1.42414i −0.702108 0.712071i \(-0.747757\pi\)
0.702108 0.712071i \(-0.252243\pi\)
\(720\) −167914. + 98284.0i −0.323909 + 0.189591i
\(721\) 19716.8 0.0379285
\(722\) −297680. + 171866.i −0.571052 + 0.329697i
\(723\) 1477.71 + 495959.i 0.00282692 + 0.948787i
\(724\) 179251. 310472.i 0.341967 0.592305i
\(725\) 365908. + 211257.i 0.696138 + 0.401916i
\(726\) −44042.9 + 76812.1i −0.0835608 + 0.145733i
\(727\) −68590.3 118802.i −0.129776 0.224778i 0.793814 0.608161i \(-0.208092\pi\)
−0.923590 + 0.383382i \(0.874759\pi\)
\(728\) 12006.2i 0.0226540i
\(729\) −531356. + 9500.07i −0.999840 + 0.0178761i
\(730\) 12613.9 0.0236703
\(731\) −241043. + 139166.i −0.451086 + 0.260435i
\(732\) −257891. 147870.i −0.481297 0.275968i
\(733\) −419306. + 726258.i −0.780410 + 1.35171i 0.151294 + 0.988489i \(0.451656\pi\)
−0.931703 + 0.363220i \(0.881677\pi\)
\(734\) 454707. + 262525.i 0.843995 + 0.487281i
\(735\) 808536. 2409.04i 1.49667 0.00445933i
\(736\) 35874.0 + 62135.7i 0.0662254 + 0.114706i
\(737\) 706115.i 1.29999i
\(738\) 19440.5 + 33213.3i 0.0356940 + 0.0609817i
\(739\) −1.05122e6 −1.92488 −0.962442 0.271488i \(-0.912484\pi\)
−0.962442 + 0.271488i \(0.912484\pi\)
\(740\) 479494. 276836.i 0.875628 0.505544i
\(741\) 764769. 444583.i 1.39282 0.809686i
\(742\) 3501.17 6064.20i 0.00635924 0.0110145i
\(743\) 191179. + 110377.i 0.346308 + 0.199941i 0.663058 0.748568i \(-0.269258\pi\)
−0.316750 + 0.948509i \(0.602592\pi\)
\(744\) 60970.8 + 104882.i 0.110148 + 0.189476i
\(745\) −119780. 207464.i −0.215809 0.373793i
\(746\) 225934.i 0.405980i
\(747\) 357961. + 203834.i 0.641496 + 0.365289i
\(748\) 378790. 0.677010
\(749\) −5502.92 + 3177.11i −0.00980910 + 0.00566329i
\(750\) −451.514 151540.i −0.000802692 0.269404i
\(751\) −218252. + 378023.i −0.386970 + 0.670252i −0.992040 0.125920i \(-0.959812\pi\)
0.605070 + 0.796172i \(0.293145\pi\)
\(752\) 41725.5 + 24090.2i 0.0737846 + 0.0425996i
\(753\) −445432. + 776847.i −0.785582 + 1.37008i
\(754\) 149345. + 258673.i 0.262692 + 0.454997i
\(755\) 1.17914e6i 2.06857i
\(756\) 141.225 + 15799.2i 0.000247097 + 0.0276434i
\(757\) −689032. −1.20240 −0.601198 0.799100i \(-0.705310\pi\)
−0.601198 + 0.799100i \(0.705310\pi\)
\(758\) 139308. 80429.3i 0.242458 0.139983i
\(759\) 326955. + 187471.i 0.567550 + 0.325424i
\(760\) −213094. + 369089.i −0.368930 + 0.639005i
\(761\) 367695. + 212289.i 0.634920 + 0.366571i 0.782655 0.622456i \(-0.213865\pi\)
−0.147735 + 0.989027i \(0.547198\pi\)
\(762\) 255132. 760.170i 0.439396 0.00130918i
\(763\) −7962.23 13791.0i −0.0136768 0.0236890i
\(764\) 104934.i 0.179776i
\(765\) −1.36238e6 + 8118.50i −2.32795 + 0.0138724i
\(766\) −276248. −0.470806
\(767\) 223755. 129185.i 0.380348