Properties

Label 18.5.d.a.11.1
Level $18$
Weight $5$
Character 18.11
Analytic conductor $1.861$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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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 11.1
Root \(0.500000 + 1.74753i\) of defining polynomial
Character \(\chi\) \(=\) 18.11
Dual form 18.5.d.a.5.1

$q$-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 \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\)

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 −0.980426 0.196887i \(-0.936917\pi\)
−0.319704 + 0.947518i \(0.603583\pi\)
\(6\) 25.4557 + 0.0758456i 0.707104 + 0.00210682i
\(7\) −1.35458 + 2.34620i −0.0276445 + 0.0478816i −0.879517 0.475868i \(-0.842134\pi\)
0.851872 + 0.523750i \(0.175467\pi\)
\(8\) 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 0.0717373 0.997424i \(-0.477146\pi\)
−0.827925 + 0.560838i \(0.810479\pi\)
\(12\) −62.2463 36.1856i −0.432266 0.251289i
\(13\) 97.9281 + 169.616i 0.579456 + 1.00365i 0.995542 + 0.0943219i \(0.0300683\pi\)
−0.416086 + 0.909325i \(0.636598\pi\)
\(14\) 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 \(0.282425\pi\)
−0.631536 + 0.775347i \(0.717575\pi\)
\(18\) −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 −0.139151 0.990271i \(-0.544437\pi\)
0.788025 + 0.615644i \(0.211104\pi\)
\(24\) 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 0.751229 0.660042i \(-0.229462\pi\)
−0.195999 + 0.980604i \(0.562795\pi\)
\(30\) −828.817 + 475.231i −0.920908 + 0.528034i
\(31\) −297.859 515.907i −0.309947 0.536844i 0.668404 0.743799i \(-0.266978\pi\)
−0.978350 + 0.206955i \(0.933645\pi\)
\(32\) 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 −0.542646 0.839962i \(-0.682577\pi\)
0.456105 + 0.889926i \(0.349244\pi\)
\(42\) −34.6598 + 59.6215i −0.0196484 + 0.0337990i
\(43\) −310.535 + 537.862i −0.167947 + 0.290893i −0.937698 0.347451i \(-0.887047\pi\)
0.769751 + 0.638345i \(0.220381\pi\)
\(44\) 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 0.345118 0.938559i \(-0.387839\pi\)
−0.640257 + 0.768161i \(0.721172\pi\)
\(48\) 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 \(0.0520075\pi\)
−0.986682 + 0.162660i \(0.947993\pi\)
\(54\) 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 −0.326845 0.945078i \(-0.605986\pi\)
0.655039 + 0.755595i \(0.272652\pi\)
\(60\) 2702.26 + 8.05141i 0.750627 + 0.00223650i
\(61\) 2064.42 3575.68i 0.554802 0.960946i −0.443117 0.896464i \(-0.646127\pi\)
0.997919 0.0644817i \(-0.0205394\pi\)
\(62\) 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 0.950471 + 0.310814i \(0.100602\pi\)
−0.206062 + 0.978539i \(0.566065\pi\)
\(68\) −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 \(-0.907548\pi\)
0.958116 0.286380i \(-0.0924521\pi\)
\(72\) −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 0.360067 + 0.932927i \(0.382754\pi\)
−0.987971 + 0.154636i \(0.950579\pi\)
\(80\) 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 0.784348 0.620321i \(-0.212998\pi\)
−0.145040 + 0.989426i \(0.546331\pi\)
\(84\) 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 \(0.224908\pi\)
−0.760594 + 0.649228i \(0.775092\pi\)
\(90\) 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 −0.841673 0.539988i \(-0.818429\pi\)
0.888480 + 0.458916i \(0.151762\pi\)
\(98\) 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 0.314466 0.949269i \(-0.398175\pi\)
−0.664858 + 0.746970i \(0.731508\pi\)
\(102\) −33.9902 + 11408.0i −0.00326704 + 1.09650i
\(103\) −3638.92 6302.79i −0.343003 0.594098i 0.641986 0.766716i \(-0.278111\pi\)
−0.984989 + 0.172618i \(0.944777\pi\)
\(104\) 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 \(0.0326620\pi\)
−0.994740 + 0.102431i \(0.967338\pi\)
\(108\) −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 −0.897701 0.440605i \(-0.854764\pi\)
−0.0672755 + 0.997734i \(0.521431\pi\)
\(114\) −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 −0.948256 0.317506i \(-0.897155\pi\)
−0.199160 + 0.979967i \(0.563821\pi\)
\(132\) 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 0.730473 0.682942i \(-0.239300\pi\)
−0.226209 + 0.974079i \(0.572633\pi\)
\(138\) 8752.82 5018.73i 0.459610 0.263533i
\(139\) 11963.9 + 20722.1i 0.619217 + 1.07251i 0.989629 + 0.143647i \(0.0458831\pi\)
−0.370412 + 0.928868i \(0.620784\pi\)
\(140\) 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 −0.370314 0.928907i \(-0.620750\pi\)
0.619300 + 0.785155i \(0.287417\pi\)
\(150\) 10025.2 17245.3i 0.445565 0.766459i
\(151\) 15708.6 27208.2i 0.688945 1.19329i −0.283235 0.959051i \(-0.591408\pi\)
0.972180 0.234237i \(-0.0752592\pi\)
\(152\) 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 0.959031 0.283300i \(-0.0914292\pi\)
−0.724861 + 0.688896i \(0.758096\pi\)
\(158\) 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 −0.777872 0.628423i \(-0.783701\pi\)
0.155294 + 0.987868i \(0.450367\pi\)
\(168\) −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 −0.164576 0.986364i \(-0.552626\pi\)
−0.936505 + 0.350655i \(0.885959\pi\)
\(174\) 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 \(-0.823178\pi\)
0.849636 0.527370i \(-0.176822\pi\)
\(180\) −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 0.647544 0.762028i \(-0.275796\pi\)
−0.336163 + 0.941804i \(0.609129\pi\)
\(192\) 3997.49 2292.10i 0.108439 0.0621772i
\(193\) −1155.92 2002.11i −0.0310322 0.0537493i 0.850092 0.526634i \(-0.176546\pi\)
−0.881124 + 0.472885i \(0.843213\pi\)
\(194\) −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 \(0.0540228\pi\)
−0.985632 + 0.168904i \(0.945977\pi\)
\(198\) 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 0.931343 0.364144i \(-0.118638\pi\)
−0.781029 + 0.624495i \(0.785305\pi\)
\(212\) −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 0.413305 + 0.910593i \(0.364374\pi\)
−0.995249 + 0.0973637i \(0.968959\pi\)
\(224\) 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 0.246389 0.969171i \(-0.420756\pi\)
−0.716132 + 0.697965i \(0.754089\pi\)
\(228\) 31238.0 + 18159.6i 0.600916 + 0.349330i
\(229\) 29733.6 + 51500.1i 0.566991 + 0.982058i 0.996861 + 0.0791669i \(0.0252260\pi\)
−0.429870 + 0.902891i \(0.641441\pi\)
\(230\) 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 \(-0.949685\pi\)
0.987533 0.157413i \(-0.0503154\pi\)
\(234\) −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 −0.987538 0.157380i \(-0.949695\pi\)
−0.357474 + 0.933923i \(0.616362\pi\)
\(240\) 10753.2 + 18754.0i 0.186688 + 0.325590i
\(241\) −27553.4 + 47723.9i −0.474396 + 0.821678i −0.999570 0.0293170i \(-0.990667\pi\)
0.525174 + 0.850995i \(0.324000\pi\)
\(242\) 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 \(0.289743\pi\)
−0.613544 + 0.789661i \(0.710257\pi\)
\(252\) −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 0.601514 0.798862i \(-0.294564\pi\)
0.992592 0.121495i \(-0.0387689\pi\)
\(258\) −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 0.999943 + 0.0106920i \(0.00340345\pi\)
0.509231 + 0.860630i \(0.329930\pi\)
\(264\) 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 \(-0.847496\pi\)
0.887408 0.460984i \(-0.152504\pi\)
\(270\) −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 −0.502257 0.864718i \(-0.667497\pi\)
0.999997 + 0.00260812i \(0.000830190\pi\)
\(278\) 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 0.671539 0.740970i \(-0.265634\pi\)
−0.305929 + 0.952054i \(0.598967\pi\)
\(282\) −16567.6 9631.23i −0.208334 0.121111i
\(283\) −43833.2 75921.3i −0.547306 0.947962i −0.998458 0.0555146i \(-0.982320\pi\)
0.451152 0.892447i \(-0.351013\pi\)
\(284\) 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 0.676471 0.736469i \(-0.263508\pi\)
0.976037 0.217606i \(-0.0698249\pi\)
\(294\) 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 −0.656712 0.754141i \(-0.728053\pi\)
0.324749 + 0.945800i \(0.394720\pi\)
\(312\) −20045.6 + 34482.3i −0.205925 + 0.354231i
\(313\) −88549.2 + 153372.i −0.903849 + 1.56551i −0.0813950 + 0.996682i \(0.525938\pi\)
−0.822454 + 0.568831i \(0.807396\pi\)
\(314\) 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 0.373344 0.927693i \(-0.378211\pi\)
−0.616733 + 0.787172i \(0.711544\pi\)
\(318\) −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 −0.204204 0.978928i \(-0.565461\pi\)
0.949879 0.312618i \(-0.101206\pi\)
\(332\) 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 0.859160 + 0.511707i \(0.170987\pi\)
0.0135713 + 0.999908i \(0.495680\pi\)
\(338\) 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 −0.378647 0.925541i \(-0.623610\pi\)
0.612219 + 0.790688i \(0.290277\pi\)
\(348\) −19310.4 33678.0i −0.159453 0.278091i
\(349\) 73033.8 126498.i 0.599616 1.03856i −0.393262 0.919426i \(-0.628653\pi\)
0.992878 0.119138i \(-0.0380132\pi\)
\(350\) 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 −0.252745 0.967533i \(-0.581333\pi\)
−0.964280 + 0.264883i \(0.914667\pi\)
\(354\) 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 \(0.318994\pi\)
−0.538492 + 0.842631i \(0.681006\pi\)
\(360\) 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 0.283004 + 0.959119i \(0.408669\pi\)
−0.972123 + 0.234470i \(0.924664\pi\)
\(368\) 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 0.686038 0.727565i \(-0.259348\pi\)
−0.973109 + 0.230344i \(0.926015\pi\)
\(374\) −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 −0.183171 0.983081i \(-0.558636\pi\)
0.759788 + 0.650171i \(0.225303\pi\)
\(384\) −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 0.231481 0.972839i \(-0.425643\pi\)
−0.726763 + 0.686888i \(0.758976\pi\)
\(390\) −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 −0.428572 0.903508i \(-0.640983\pi\)
0.568175 + 0.822908i \(0.307650\pi\)
\(402\) 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 0.920445 0.390873i \(-0.127827\pi\)
−0.798728 + 0.601692i \(0.794493\pi\)
\(410\) −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 −0.367707 0.929942i \(-0.619857\pi\)
0.621499 + 0.783415i \(0.286524\pi\)
\(420\) −3679.31 + 6329.13i −0.0208578 + 0.0358794i
\(421\) 91333.7 158195.i 0.515308 0.892540i −0.484534 0.874772i \(-0.661011\pi\)
0.999842 0.0177674i \(-0.00565585\pi\)
\(422\) 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 \(-0.932316\pi\)
0.977478 0.211035i \(-0.0676835\pi\)
\(432\) −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 −0.341849 0.939755i \(-0.611053\pi\)
0.984776 0.173828i \(-0.0556136\pi\)
\(440\) 89725.5i 0.463458i
\(441\) 193883. + 1155.36i 0.996925 + 0.00594075i
\(442\) 248260. 1.27075
\(443\) 136274. + 78678.0i 0.694395 + 0.400909i 0.805256 0.592927i \(-0.202028\pi\)
−0.110862 + 0.993836i \(0.535361\pi\)
\(444\) 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 \(0.0219133\pi\)
−0.997631 + 0.0687883i \(0.978087\pi\)
\(450\) −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 −0.882204 0.470868i \(-0.843941\pi\)
0.848885 + 0.528577i \(0.177274\pi\)
\(458\) 168199.i 0.801847i
\(459\) −326689. 2920.18i −1.55063 0.0138607i
\(460\) −119007. −0.562414
\(461\) −351627. 203012.i −1.65455 0.955256i −0.975166 0.221475i \(-0.928913\pi\)
−0.679386 0.733781i \(-0.737754\pi\)
\(462\) 6320.94 3624.33i 0.0296141 0.0169802i
\(463\) 137743. + 238578.i 0.642550 + 1.11293i 0.984862 + 0.173343i \(0.0554569\pi\)
−0.342311 + 0.939587i \(0.611210\pi\)
\(464\) −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 \(0.270091\pi\)
−0.661098 + 0.750300i \(0.729909\pi\)
\(468\) 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 0.511028 0.859564i \(-0.329265\pi\)
−0.488891 + 0.872345i \(0.662598\pi\)
\(480\) 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 −0.751864 0.659318i \(-0.770845\pi\)
0.195054 + 0.980792i \(0.437512\pi\)
\(492\) 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 0.951230 0.308483i \(-0.0998213\pi\)
−0.742769 + 0.669548i \(0.766488\pi\)
\(500\) −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 \(-0.969735\pi\)
0.995483 0.0949382i \(-0.0302654\pi\)
\(504\) 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 −0.892117 0.451804i \(-0.850781\pi\)
−0.0547847 + 0.998498i \(0.517447\pi\)
\(510\) −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 \(-0.845482\pi\)
0.884473 0.466591i \(-0.154518\pi\)
\(522\) −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 0.245052 + 0.969510i \(0.421195\pi\)
−0.962146 + 0.272534i \(0.912138\pi\)
\(548\) 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 \(0.109325\pi\)
−0.941597 + 0.336741i \(0.890675\pi\)
\(558\) 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 −0.611313 0.791389i \(-0.709358\pi\)
0.379706 + 0.925107i \(0.376025\pi\)
\(564\) 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 0.869729 0.493529i \(-0.164293\pi\)
0.00745565 + 0.999972i \(0.497627\pi\)
\(570\) 415938. 238492.i 1.28020 0.734048i
\(571\) −196916. 341069.i −0.603962 1.04609i −0.992215 0.124540i \(-0.960254\pi\)
0.388252 0.921553i \(-0.373079\pi\)
\(572\) 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 0.0889955 0.996032i \(-0.471634\pi\)
−0.818091 + 0.575088i \(0.804968\pi\)
\(588\) 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 \(0.100057\pi\)
−0.951002 + 0.309186i \(0.899943\pi\)
\(594\) −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 0.205892 0.978575i \(-0.433991\pi\)
0.950416 + 0.310980i \(0.100657\pi\)
\(600\) 159580. + 475.470i 0.443278 + 0.00132075i
\(601\) 93655.9 162217.i 0.259290 0.449104i −0.706762 0.707452i \(-0.749845\pi\)
0.966052 + 0.258348i \(0.0831780\pi\)
\(602\) 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 0.847644 0.530565i \(-0.178020\pi\)
−0.883305 + 0.468799i \(0.844687\pi\)
\(608\) −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 0.124985 0.992159i \(-0.460112\pi\)
0.921727 + 0.387839i \(0.126778\pi\)
\(618\) −92153.2 160718.i −0.241287 0.420812i
\(619\) −53625.4 + 92881.9i −0.139955 + 0.242410i −0.927479 0.373874i \(-0.878029\pi\)
0.787524 + 0.616284i \(0.211363\pi\)
\(620\) 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 0.790257 0.612775i \(-0.209947\pi\)
−0.135550 + 0.990770i \(0.543280\pi\)
\(642\) −177.893 + 59705.4i −0.000431607 + 0.144858i
\(643\) −217352. 376464.i −0.525704 0.910546i −0.999552 0.0299390i \(-0.990469\pi\)
0.473848 0.880607i \(-0.342865\pi\)
\(644\) −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 \(0.199758\pi\)
−0.809463 + 0.587171i \(0.800242\pi\)
\(648\) −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 −0.885482 0.464673i \(-0.846172\pi\)
−0.0403223 + 0.999187i \(0.512838\pi\)
\(654\) 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 0.751435 0.659807i \(-0.229362\pi\)
−0.195692 + 0.980665i \(0.562695\pi\)
\(660\) −246828. 143488.i −0.566639 0.329404i
\(661\) 422668. + 732082.i 0.967378 + 1.67555i 0.703087 + 0.711104i \(0.251805\pi\)
0.264291 + 0.964443i \(0.414862\pi\)
\(662\) −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 −0.914138 0.405403i \(-0.867131\pi\)
0.808158 + 0.588965i \(0.200464\pi\)
\(674\) 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 0.860791 0.508958i \(-0.169969\pi\)
−0.0103749 + 0.999946i \(0.503302\pi\)
\(678\) −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 \(0.152137\pi\)
−0.887938 + 0.459963i \(0.847863\pi\)
\(684\) −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 −0.838801 0.544439i \(-0.816743\pi\)
0.890898 + 0.454203i \(0.150076\pi\)
\(692\) 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 \(-0.904023\pi\)
0.954886 0.296973i \(-0.0959771\pi\)
\(702\) 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 −0.745122 0.666929i \(-0.767609\pi\)
0.950138 + 0.311830i \(0.100942\pi\)
\(710\) 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 \(0.252243\pi\)
−0.702108 + 0.712071i \(0.747757\pi\)
\(720\) −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 −0.923590 0.383382i \(-0.874759\pi\)
0.793814 + 0.608161i \(0.208092\pi\)
\(728\) 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 −0.931703 0.363220i \(-0.881677\pi\)
0.151294 0.988489i \(-0.451656\pi\)
\(734\) 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 −0.316750 0.948509i \(-0.602592\pi\)
0.663058 + 0.748568i \(0.269258\pi\)
\(744\) 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 0.605070 0.796172i \(-0.293145\pi\)
−0.992040 + 0.125920i \(0.959812\pi\)
\(752\) 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 −0.147735 0.989027i \(-0.547198\pi\)
0.782655 + 0.622456i \(0.213865\pi\)
\(762\) 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