Properties

Label 11.5.d.a.6.1
Level 11
Weight 5
Character 11.6
Analytic conductor 1.137
Analytic rank 0
Dimension 12
CM No
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 11 \)
Weight: \( k \) = \( 5 \)
Character orbit: \([\chi]\) = 11.d (of order \(10\) and degree \(4\))

Newform invariants

Self dual: No
Analytic conductor: \(1.13706959392\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(3\) over \(\Q(\zeta_{10})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 6.1
Root \(-4.56289i\)
Character \(\chi\) = 11.6
Dual form 11.5.d.a.2.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.45760 + 1.77328i) q^{2} +(-10.4040 - 7.55891i) q^{3} +(13.6966 - 9.95117i) q^{4} +(-9.33639 + 28.7345i) q^{5} +(70.1847 + 22.8044i) q^{6} +(-33.6132 - 46.2646i) q^{7} +(-3.13669 + 4.31729i) q^{8} +(26.0747 + 80.2495i) q^{9} +O(q^{10})\) \(q+(-5.45760 + 1.77328i) q^{2} +(-10.4040 - 7.55891i) q^{3} +(13.6966 - 9.95117i) q^{4} +(-9.33639 + 28.7345i) q^{5} +(70.1847 + 22.8044i) q^{6} +(-33.6132 - 46.2646i) q^{7} +(-3.13669 + 4.31729i) q^{8} +(26.0747 + 80.2495i) q^{9} -173.377i q^{10} +(-104.338 + 61.2750i) q^{11} -217.719 q^{12} +(-21.1866 + 6.88395i) q^{13} +(265.488 + 192.888i) q^{14} +(314.337 - 228.379i) q^{15} +(-74.2432 + 228.497i) q^{16} +(-176.460 - 57.3353i) q^{17} +(-284.610 - 391.732i) q^{18} +(169.409 - 233.171i) q^{19} +(158.065 + 486.473i) q^{20} +735.413i q^{21} +(460.776 - 519.435i) q^{22} -116.578 q^{23} +(65.2680 - 21.2068i) q^{24} +(-232.866 - 169.187i) q^{25} +(103.421 - 75.1398i) q^{26} +(13.4294 - 41.3314i) q^{27} +(-920.774 - 299.177i) q^{28} +(-419.150 - 576.911i) q^{29} +(-1310.54 + 1803.81i) q^{30} +(-28.3476 - 87.2449i) q^{31} -1464.08i q^{32} +(1548.70 + 151.178i) q^{33} +1064.72 q^{34} +(1643.21 - 533.913i) q^{35} +(1155.71 + 839.673i) q^{36} +(-1024.49 + 744.333i) q^{37} +(-511.087 + 1572.96i) q^{38} +(272.460 + 88.5276i) q^{39} +(-94.7695 - 130.439i) q^{40} +(340.375 - 468.486i) q^{41} +(-1304.10 - 4013.59i) q^{42} +1410.60i q^{43} +(-819.316 + 1877.54i) q^{44} -2549.37 q^{45} +(636.236 - 206.726i) q^{46} +(-3360.07 - 2441.23i) q^{47} +(2499.61 - 1816.07i) q^{48} +(-268.615 + 826.712i) q^{49} +(1570.90 + 510.418i) q^{50} +(1402.49 + 1930.36i) q^{51} +(-221.682 + 305.119i) q^{52} +(1136.82 + 3498.77i) q^{53} +249.385i q^{54} +(-786.566 - 3570.18i) q^{55} +305.172 q^{56} +(-3525.04 + 1145.35i) q^{57} +(3310.58 + 2405.28i) q^{58} +(-378.655 + 275.109i) q^{59} +(2032.71 - 6256.04i) q^{60} +(777.208 + 252.530i) q^{61} +(309.420 + 425.880i) q^{62} +(2836.26 - 3903.77i) q^{63} +(1408.34 + 4334.43i) q^{64} -673.058i q^{65} +(-8720.26 + 1921.21i) q^{66} +6019.75 q^{67} +(-2987.45 + 970.683i) q^{68} +(1212.87 + 881.203i) q^{69} +(-8021.23 + 5827.76i) q^{70} +(1149.19 - 3536.85i) q^{71} +(-428.248 - 139.146i) q^{72} +(-1264.79 - 1740.83i) q^{73} +(4271.33 - 5878.98i) q^{74} +(1143.85 + 3520.42i) q^{75} -4879.47i q^{76} +(6341.99 + 2767.50i) q^{77} -1643.96 q^{78} +(-10376.9 + 3371.66i) q^{79} +(-5872.58 - 4266.68i) q^{80} +(5077.27 - 3688.85i) q^{81} +(-1026.87 + 3160.39i) q^{82} +(-4239.31 - 1377.44i) q^{83} +(7318.23 + 10072.7i) q^{84} +(3295.00 - 4535.17i) q^{85} +(-2501.39 - 7698.50i) q^{86} +9170.47i q^{87} +(62.7337 - 642.657i) q^{88} -1587.53 q^{89} +(13913.5 - 4520.75i) q^{90} +(1030.63 + 748.799i) q^{91} +(-1596.72 + 1160.09i) q^{92} +(-364.550 + 1121.97i) q^{93} +(22666.9 + 7364.92i) q^{94} +(5118.38 + 7044.84i) q^{95} +(-11066.9 + 15232.3i) q^{96} +(-5788.35 - 17814.7i) q^{97} -4988.20i q^{98} +(-7637.86 - 6775.33i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 5q^{2} - 6q^{3} + 7q^{4} - 18q^{5} + 75q^{6} - 80q^{7} - 245q^{8} + q^{9} + O(q^{10}) \) \( 12q - 5q^{2} - 6q^{3} + 7q^{4} - 18q^{5} + 75q^{6} - 80q^{7} - 245q^{8} + q^{9} - 43q^{11} + 594q^{12} + 250q^{13} + 610q^{14} + 1134q^{15} - 633q^{16} - 1250q^{17} - 3150q^{18} - 1025q^{19} + 752q^{20} - 35q^{22} + 1684q^{23} + 5345q^{24} + 197q^{25} + 3490q^{26} - 687q^{27} - 3580q^{28} - 2690q^{29} - 6740q^{30} - 1136q^{31} + 5939q^{33} + 2370q^{34} + 3610q^{35} - 514q^{36} - 336q^{37} + 1900q^{38} - 6880q^{39} - 2340q^{40} - 4550q^{41} + 1310q^{42} - 6268q^{44} + 5136q^{45} + 4150q^{46} + 24q^{47} + 344q^{48} + 827q^{49} + 8895q^{50} + 13155q^{51} + 14070q^{52} + 414q^{53} - 2738q^{55} - 21340q^{56} - 26925q^{57} + 2980q^{58} - 10011q^{59} - 6856q^{60} + 9460q^{61} - 6200q^{62} + 9150q^{63} - 2633q^{64} - 3210q^{66} + 12154q^{67} - 9400q^{68} - 9022q^{69} - 9380q^{70} + 17574q^{71} + 43045q^{72} + 27950q^{73} + 43270q^{74} - 1761q^{75} + 4090q^{77} - 42920q^{78} - 41540q^{79} - 2308q^{80} - 21080q^{81} - 28175q^{82} - 18665q^{83} + 26250q^{84} - 4230q^{85} - 10125q^{86} - 15125q^{88} + 5554q^{89} + 18400q^{90} + 7390q^{91} + 3904q^{92} + 36898q^{93} + 18920q^{94} + 14110q^{95} - 21140q^{96} + 20769q^{97} - 3269q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{9}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.45760 + 1.77328i −1.36440 + 0.443321i −0.897510 0.440995i \(-0.854626\pi\)
−0.466891 + 0.884315i \(0.654626\pi\)
\(3\) −10.4040 7.55891i −1.15599 0.839879i −0.166728 0.986003i \(-0.553320\pi\)
−0.989266 + 0.146124i \(0.953320\pi\)
\(4\) 13.6966 9.95117i 0.856038 0.621948i
\(5\) −9.33639 + 28.7345i −0.373456 + 1.14938i 0.571059 + 0.820909i \(0.306533\pi\)
−0.944515 + 0.328470i \(0.893467\pi\)
\(6\) 70.1847 + 22.8044i 1.94958 + 0.633455i
\(7\) −33.6132 46.2646i −0.685983 0.944175i 0.314003 0.949422i \(-0.398330\pi\)
−0.999986 + 0.00524700i \(0.998330\pi\)
\(8\) −3.13669 + 4.31729i −0.0490108 + 0.0674576i
\(9\) 26.0747 + 80.2495i 0.321909 + 0.990735i
\(10\) 173.377i 1.73377i
\(11\) −104.338 + 61.2750i −0.862296 + 0.506405i
\(12\) −217.719 −1.51194
\(13\) −21.1866 + 6.88395i −0.125365 + 0.0407335i −0.371027 0.928622i \(-0.620994\pi\)
0.245663 + 0.969355i \(0.420994\pi\)
\(14\) 265.488 + 192.888i 1.35453 + 0.984122i
\(15\) 314.337 228.379i 1.39705 1.01502i
\(16\) −74.2432 + 228.497i −0.290013 + 0.892567i
\(17\) −176.460 57.3353i −0.610587 0.198392i −0.0126306 0.999920i \(-0.504021\pi\)
−0.597957 + 0.801528i \(0.704021\pi\)
\(18\) −284.610 391.732i −0.878426 1.20905i
\(19\) 169.409 233.171i 0.469276 0.645903i −0.507124 0.861873i \(-0.669291\pi\)
0.976400 + 0.215970i \(0.0692914\pi\)
\(20\) 158.065 + 486.473i 0.395162 + 1.21618i
\(21\) 735.413i 1.66760i
\(22\) 460.776 519.435i 0.952017 1.07321i
\(23\) −116.578 −0.220374 −0.110187 0.993911i \(-0.535145\pi\)
−0.110187 + 0.993911i \(0.535145\pi\)
\(24\) 65.2680 21.2068i 0.113312 0.0368174i
\(25\) −232.866 169.187i −0.372585 0.270699i
\(26\) 103.421 75.1398i 0.152990 0.111153i
\(27\) 13.4294 41.3314i 0.0184217 0.0566961i
\(28\) −920.774 299.177i −1.17446 0.381604i
\(29\) −419.150 576.911i −0.498395 0.685982i 0.483514 0.875337i \(-0.339360\pi\)
−0.981909 + 0.189355i \(0.939360\pi\)
\(30\) −1310.54 + 1803.81i −1.45616 + 2.00423i
\(31\) −28.3476 87.2449i −0.0294980 0.0907855i 0.935224 0.354058i \(-0.115198\pi\)
−0.964722 + 0.263272i \(0.915198\pi\)
\(32\) 1464.08i 1.42977i
\(33\) 1548.70 + 151.178i 1.42213 + 0.138823i
\(34\) 1064.72 0.921037
\(35\) 1643.21 533.913i 1.34140 0.435847i
\(36\) 1155.71 + 839.673i 0.891753 + 0.647896i
\(37\) −1024.49 + 744.333i −0.748347 + 0.543706i −0.895314 0.445436i \(-0.853049\pi\)
0.146967 + 0.989141i \(0.453049\pi\)
\(38\) −511.087 + 1572.96i −0.353938 + 1.08931i
\(39\) 272.460 + 88.5276i 0.179132 + 0.0582035i
\(40\) −94.7695 130.439i −0.0592309 0.0815244i
\(41\) 340.375 468.486i 0.202484 0.278695i −0.695684 0.718348i \(-0.744899\pi\)
0.898168 + 0.439653i \(0.144899\pi\)
\(42\) −1304.10 4013.59i −0.739283 2.27528i
\(43\) 1410.60i 0.762899i 0.924390 + 0.381450i \(0.124575\pi\)
−0.924390 + 0.381450i \(0.875425\pi\)
\(44\) −819.316 + 1877.54i −0.423201 + 0.969805i
\(45\) −2549.37 −1.25895
\(46\) 636.236 206.726i 0.300679 0.0976964i
\(47\) −3360.07 2441.23i −1.52108 1.10513i −0.960949 0.276726i \(-0.910751\pi\)
−0.560132 0.828404i \(-0.689249\pi\)
\(48\) 2499.61 1816.07i 1.08490 0.788227i
\(49\) −268.615 + 826.712i −0.111876 + 0.344320i
\(50\) 1570.90 + 510.418i 0.628362 + 0.204167i
\(51\) 1402.49 + 1930.36i 0.539210 + 0.742160i
\(52\) −221.682 + 305.119i −0.0819829 + 0.112840i
\(53\) 1136.82 + 3498.77i 0.404706 + 1.24556i 0.921141 + 0.389230i \(0.127259\pi\)
−0.516435 + 0.856327i \(0.672741\pi\)
\(54\) 249.385i 0.0855228i
\(55\) −786.566 3570.18i −0.260022 1.18022i
\(56\) 305.172 0.0973124
\(57\) −3525.04 + 1145.35i −1.08496 + 0.352525i
\(58\) 3310.58 + 2405.28i 0.984120 + 0.715005i
\(59\) −378.655 + 275.109i −0.108778 + 0.0790315i −0.640844 0.767671i \(-0.721416\pi\)
0.532067 + 0.846702i \(0.321416\pi\)
\(60\) 2032.71 6256.04i 0.564642 1.73779i
\(61\) 777.208 + 252.530i 0.208871 + 0.0678662i 0.411584 0.911372i \(-0.364976\pi\)
−0.202713 + 0.979238i \(0.564976\pi\)
\(62\) 309.420 + 425.880i 0.0804942 + 0.110791i
\(63\) 2836.26 3903.77i 0.714603 0.983566i
\(64\) 1408.34 + 4334.43i 0.343834 + 1.05821i
\(65\) 673.058i 0.159304i
\(66\) −8720.26 + 1921.21i −2.00190 + 0.441049i
\(67\) 6019.75 1.34100 0.670500 0.741909i \(-0.266080\pi\)
0.670500 + 0.741909i \(0.266080\pi\)
\(68\) −2987.45 + 970.683i −0.646076 + 0.209923i
\(69\) 1212.87 + 881.203i 0.254751 + 0.185088i
\(70\) −8021.23 + 5827.76i −1.63699 + 1.18934i
\(71\) 1149.19 3536.85i 0.227969 0.701617i −0.770007 0.638035i \(-0.779748\pi\)
0.997977 0.0635821i \(-0.0202525\pi\)
\(72\) −428.248 139.146i −0.0826096 0.0268415i
\(73\) −1264.79 1740.83i −0.237340 0.326671i 0.673687 0.739017i \(-0.264710\pi\)
−0.911027 + 0.412346i \(0.864710\pi\)
\(74\) 4271.33 5878.98i 0.780009 1.07359i
\(75\) 1143.85 + 3520.42i 0.203352 + 0.625853i
\(76\) 4879.47i 0.844783i
\(77\) 6341.99 + 2767.50i 1.06966 + 0.466773i
\(78\) −1643.96 −0.270211
\(79\) −10376.9 + 3371.66i −1.66270 + 0.540243i −0.981435 0.191796i \(-0.938569\pi\)
−0.681263 + 0.732039i \(0.738569\pi\)
\(80\) −5872.58 4266.68i −0.917590 0.666668i
\(81\) 5077.27 3688.85i 0.773856 0.562240i
\(82\) −1026.87 + 3160.39i −0.152718 + 0.470016i
\(83\) −4239.31 1377.44i −0.615374 0.199947i −0.0152885 0.999883i \(-0.504867\pi\)
−0.600085 + 0.799936i \(0.704867\pi\)
\(84\) 7318.23 + 10072.7i 1.03716 + 1.42753i
\(85\) 3295.00 4535.17i 0.456055 0.627706i
\(86\) −2501.39 7698.50i −0.338209 1.04090i
\(87\) 9170.47i 1.21158i
\(88\) 62.7337 642.657i 0.00810095 0.0829877i
\(89\) −1587.53 −0.200421 −0.100210 0.994966i \(-0.531952\pi\)
−0.100210 + 0.994966i \(0.531952\pi\)
\(90\) 13913.5 4520.75i 1.71771 0.558118i
\(91\) 1030.63 + 748.799i 0.124458 + 0.0904237i
\(92\) −1596.72 + 1160.09i −0.188649 + 0.137061i
\(93\) −364.550 + 1121.97i −0.0421493 + 0.129722i
\(94\) 22666.9 + 7364.92i 2.56529 + 0.833513i
\(95\) 5118.38 + 7044.84i 0.567133 + 0.780592i
\(96\) −11066.9 + 15232.3i −1.20083 + 1.65281i
\(97\) −5788.35 17814.7i −0.615193 1.89337i −0.398682 0.917089i \(-0.630532\pi\)
−0.216511 0.976280i \(-0.569468\pi\)
\(98\) 4988.20i 0.519388i
\(99\) −7637.86 6775.33i −0.779294 0.691290i
\(100\) −4873.08 −0.487308
\(101\) 7465.74 2425.77i 0.731863 0.237797i 0.0807044 0.996738i \(-0.474283\pi\)
0.651159 + 0.758941i \(0.274283\pi\)
\(102\) −11077.3 8048.12i −1.06471 0.773560i
\(103\) −7326.15 + 5322.76i −0.690560 + 0.501721i −0.876844 0.480775i \(-0.840355\pi\)
0.186284 + 0.982496i \(0.440355\pi\)
\(104\) 36.7359 113.062i 0.00339644 0.0104532i
\(105\) −21131.7 6866.11i −1.91671 0.622776i
\(106\) −12408.6 17079.0i −1.10436 1.52002i
\(107\) −11716.3 + 16126.1i −1.02335 + 1.40852i −0.113521 + 0.993536i \(0.536213\pi\)
−0.909828 + 0.414984i \(0.863787\pi\)
\(108\) −227.359 699.739i −0.0194924 0.0599913i
\(109\) 4222.52i 0.355401i 0.984085 + 0.177701i \(0.0568659\pi\)
−0.984085 + 0.177701i \(0.943134\pi\)
\(110\) 10623.7 + 18089.8i 0.877992 + 1.49503i
\(111\) 16285.1 1.32173
\(112\) 13066.9 4245.68i 1.04168 0.338463i
\(113\) 17666.0 + 12835.1i 1.38351 + 1.00518i 0.996543 + 0.0830819i \(0.0264763\pi\)
0.386964 + 0.922095i \(0.373524\pi\)
\(114\) 17207.2 12501.8i 1.32404 0.961971i
\(115\) 1088.42 3349.81i 0.0823000 0.253293i
\(116\) −11481.9 3730.69i −0.853290 0.277251i
\(117\) −1104.87 1520.72i −0.0807121 0.111091i
\(118\) 1578.70 2172.89i 0.113380 0.156054i
\(119\) 3278.78 + 10091.1i 0.231536 + 0.712595i
\(120\) 2073.44i 0.143989i
\(121\) 7131.75 12786.6i 0.487108 0.873342i
\(122\) −4689.50 −0.315070
\(123\) −7082.49 + 2301.24i −0.468140 + 0.152108i
\(124\) −1256.45 912.868i −0.0817153 0.0593697i
\(125\) −8241.25 + 5987.62i −0.527440 + 0.383208i
\(126\) −8556.67 + 26334.7i −0.538969 + 1.65878i
\(127\) 9018.65 + 2930.34i 0.559158 + 0.181681i 0.574942 0.818194i \(-0.305025\pi\)
−0.0157845 + 0.999875i \(0.505025\pi\)
\(128\) −1603.27 2206.72i −0.0978560 0.134687i
\(129\) 10662.6 14675.8i 0.640743 0.881907i
\(130\) 1193.52 + 3673.28i 0.0706226 + 0.217354i
\(131\) 17154.3i 0.999608i −0.866138 0.499804i \(-0.833405\pi\)
0.866138 0.499804i \(-0.166595\pi\)
\(132\) 22716.3 13340.7i 1.30374 0.765653i
\(133\) −16481.9 −0.931761
\(134\) −32853.4 + 10674.7i −1.82966 + 0.594493i
\(135\) 1062.25 + 771.773i 0.0582856 + 0.0423469i
\(136\) 801.032 581.984i 0.0433084 0.0314654i
\(137\) 2623.40 8073.99i 0.139773 0.430177i −0.856529 0.516099i \(-0.827384\pi\)
0.996302 + 0.0859221i \(0.0273836\pi\)
\(138\) −8181.99 2658.49i −0.429636 0.139597i
\(139\) −15617.1 21495.1i −0.808298 1.11253i −0.991584 0.129467i \(-0.958673\pi\)
0.183286 0.983060i \(-0.441327\pi\)
\(140\) 17193.4 23664.7i 0.877215 1.20738i
\(141\) 16504.9 + 50796.9i 0.830185 + 2.55505i
\(142\) 21340.6i 1.05835i
\(143\) 1788.75 2016.47i 0.0874738 0.0986096i
\(144\) −20272.7 −0.977655
\(145\) 20490.6 6657.79i 0.974581 0.316661i
\(146\) 9989.69 + 7257.93i 0.468647 + 0.340492i
\(147\) 9043.71 6570.64i 0.418516 0.304069i
\(148\) −6625.01 + 20389.7i −0.302457 + 0.930866i
\(149\) −24565.5 7981.82i −1.10650 0.359525i −0.301902 0.953339i \(-0.597622\pi\)
−0.804602 + 0.593814i \(0.797622\pi\)
\(150\) −12485.4 17184.7i −0.554907 0.763764i
\(151\) −16028.5 + 22061.3i −0.702972 + 0.967558i 0.296948 + 0.954894i \(0.404031\pi\)
−0.999920 + 0.0126640i \(0.995969\pi\)
\(152\) 475.283 + 1462.77i 0.0205715 + 0.0633124i
\(153\) 15655.8i 0.668794i
\(154\) −39519.6 3857.75i −1.66637 0.162665i
\(155\) 2771.60 0.115363
\(156\) 4612.73 1498.77i 0.189544 0.0615864i
\(157\) 14248.6 + 10352.2i 0.578061 + 0.419986i 0.838024 0.545633i \(-0.183711\pi\)
−0.259964 + 0.965618i \(0.583711\pi\)
\(158\) 50654.1 36802.3i 2.02908 1.47422i
\(159\) 14619.5 44994.1i 0.578279 1.77976i
\(160\) 42069.7 + 13669.3i 1.64335 + 0.533956i
\(161\) 3918.56 + 5393.43i 0.151173 + 0.208072i
\(162\) −21168.3 + 29135.7i −0.806598 + 1.11019i
\(163\) −1901.28 5851.55i −0.0715602 0.220240i 0.908880 0.417058i \(-0.136939\pi\)
−0.980440 + 0.196819i \(0.936939\pi\)
\(164\) 9803.80i 0.364508i
\(165\) −18803.3 + 43089.5i −0.690662 + 1.58272i
\(166\) 25579.0 0.928257
\(167\) −3697.07 + 1201.25i −0.132564 + 0.0430726i −0.374548 0.927208i \(-0.622202\pi\)
0.241984 + 0.970280i \(0.422202\pi\)
\(168\) −3174.99 2306.77i −0.112493 0.0817306i
\(169\) −22704.8 + 16496.0i −0.794960 + 0.577572i
\(170\) −9940.63 + 30594.1i −0.343967 + 1.05862i
\(171\) 23129.1 + 7515.11i 0.790983 + 0.257006i
\(172\) 14037.1 + 19320.5i 0.474484 + 0.653071i
\(173\) 18847.1 25940.8i 0.629728 0.866746i −0.368288 0.929712i \(-0.620056\pi\)
0.998016 + 0.0629660i \(0.0200560\pi\)
\(174\) −16261.8 50048.8i −0.537119 1.65308i
\(175\) 16460.3i 0.537480i
\(176\) −6254.79 28390.1i −0.201924 0.916520i
\(177\) 6019.03 0.192123
\(178\) 8664.11 2815.14i 0.273454 0.0888505i
\(179\) −6636.09 4821.40i −0.207112 0.150476i 0.479394 0.877600i \(-0.340857\pi\)
−0.686506 + 0.727124i \(0.740857\pi\)
\(180\) −34917.7 + 25369.2i −1.07771 + 0.783001i
\(181\) −7947.12 + 24458.7i −0.242579 + 0.746581i 0.753447 + 0.657509i \(0.228390\pi\)
−0.996025 + 0.0890713i \(0.971610\pi\)
\(182\) −6952.62 2259.04i −0.209897 0.0681996i
\(183\) −6177.18 8502.16i −0.184454 0.253879i
\(184\) 365.669 503.300i 0.0108007 0.0148659i
\(185\) −11823.0 36387.5i −0.345449 1.06318i
\(186\) 6769.71i 0.195679i
\(187\) 21924.6 4830.34i 0.626974 0.138132i
\(188\) −70314.7 −1.98944
\(189\) −2363.59 + 767.976i −0.0661680 + 0.0214993i
\(190\) −40426.5 29371.6i −1.11985 0.813618i
\(191\) −1824.03 + 1325.24i −0.0499995 + 0.0363268i −0.612504 0.790467i \(-0.709838\pi\)
0.562505 + 0.826794i \(0.309838\pi\)
\(192\) 18111.3 55740.8i 0.491300 1.51206i
\(193\) −19901.9 6466.53i −0.534294 0.173603i 0.0294283 0.999567i \(-0.490631\pi\)
−0.563723 + 0.825964i \(0.690631\pi\)
\(194\) 63181.0 + 86961.2i 1.67874 + 2.31059i
\(195\) −5087.59 + 7002.46i −0.133796 + 0.184154i
\(196\) 4547.64 + 13996.2i 0.118379 + 0.364333i
\(197\) 1677.35i 0.0432208i 0.999766 + 0.0216104i \(0.00687933\pi\)
−0.999766 + 0.0216104i \(0.993121\pi\)
\(198\) 53699.0 + 23433.0i 1.36973 + 0.597719i
\(199\) 44006.7 1.11125 0.555626 0.831433i \(-0.312479\pi\)
0.555626 + 0.831433i \(0.312479\pi\)
\(200\) 1460.86 474.661i 0.0365214 0.0118665i
\(201\) −62629.2 45502.8i −1.55019 1.12628i
\(202\) −36443.5 + 26477.7i −0.893135 + 0.648900i
\(203\) −12601.6 + 38783.6i −0.305796 + 0.941144i
\(204\) 38418.6 + 12483.0i 0.923170 + 0.299956i
\(205\) 10283.8 + 14154.5i 0.244707 + 0.336810i
\(206\) 30544.5 42040.8i 0.719777 0.990688i
\(207\) −3039.73 9355.33i −0.0709405 0.218332i
\(208\) 5352.17i 0.123710i
\(209\) −3388.17 + 34709.0i −0.0775661 + 0.794603i
\(210\) 127504. 2.89125
\(211\) 7885.34 2562.10i 0.177115 0.0575482i −0.219117 0.975699i \(-0.570318\pi\)
0.396232 + 0.918150i \(0.370318\pi\)
\(212\) 50387.4 + 36608.6i 1.12112 + 0.814538i
\(213\) −38690.9 + 28110.6i −0.852805 + 0.619599i
\(214\) 35346.9 108786.i 0.771833 2.37546i
\(215\) −40532.9 13169.9i −0.876860 0.284909i
\(216\) 136.316 + 187.623i 0.00292172 + 0.00402140i
\(217\) −3083.50 + 4244.07i −0.0654823 + 0.0901286i
\(218\) −7487.72 23044.8i −0.157557 0.484910i
\(219\) 27671.9i 0.576967i
\(220\) −46300.7 41072.1i −0.956627 0.848597i
\(221\) 4133.28 0.0846273
\(222\) −88877.4 + 28878.0i −1.80337 + 0.585951i
\(223\) 36171.7 + 26280.3i 0.727377 + 0.528470i 0.888733 0.458426i \(-0.151587\pi\)
−0.161356 + 0.986896i \(0.551587\pi\)
\(224\) −67735.2 + 49212.5i −1.34995 + 0.980798i
\(225\) 7505.27 23098.9i 0.148252 0.456274i
\(226\) −119174. 38722.1i −2.33327 0.758126i
\(227\) −9262.91 12749.3i −0.179761 0.247420i 0.709622 0.704583i \(-0.248866\pi\)
−0.889383 + 0.457163i \(0.848866\pi\)
\(228\) −36883.5 + 50765.7i −0.709515 + 0.976564i
\(229\) −126.968 390.768i −0.00242117 0.00745158i 0.949839 0.312740i \(-0.101247\pi\)
−0.952260 + 0.305289i \(0.901247\pi\)
\(230\) 20212.0i 0.382079i
\(231\) −45062.5 76731.4i −0.844483 1.43797i
\(232\) 3805.43 0.0707014
\(233\) 59733.7 19408.6i 1.10029 0.357506i 0.298076 0.954542i \(-0.403655\pi\)
0.802214 + 0.597036i \(0.203655\pi\)
\(234\) 8726.60 + 6340.24i 0.159372 + 0.115791i
\(235\) 101518. 73757.4i 1.83827 1.33558i
\(236\) −2448.63 + 7536.11i −0.0439642 + 0.135308i
\(237\) 133447. + 43359.5i 2.37581 + 0.771947i
\(238\) −35788.6 49258.8i −0.631816 0.869620i
\(239\) 11060.1 15222.9i 0.193626 0.266503i −0.701155 0.713009i \(-0.747332\pi\)
0.894781 + 0.446506i \(0.147332\pi\)
\(240\) 28846.6 + 88780.6i 0.500809 + 1.54133i
\(241\) 52220.3i 0.899094i 0.893257 + 0.449547i \(0.148415\pi\)
−0.893257 + 0.449547i \(0.851585\pi\)
\(242\) −16248.0 + 82430.8i −0.277440 + 1.40753i
\(243\) −84227.5 −1.42640
\(244\) 13158.1 4275.32i 0.221011 0.0718107i
\(245\) −21247.2 15437.0i −0.353973 0.257177i
\(246\) 34572.6 25118.5i 0.571298 0.415072i
\(247\) −1984.06 + 6106.31i −0.0325208 + 0.100089i
\(248\) 465.579 + 151.276i 0.00756989 + 0.00245961i
\(249\) 33693.7 + 46375.3i 0.543437 + 0.747977i
\(250\) 34359.7 47292.1i 0.549756 0.756674i
\(251\) −11398.1 35079.8i −0.180919 0.556813i 0.818935 0.573886i \(-0.194565\pi\)
−0.999854 + 0.0170739i \(0.994565\pi\)
\(252\) 81692.6i 1.28642i
\(253\) 12163.5 7143.32i 0.190028 0.111599i
\(254\) −54416.5 −0.843458
\(255\) −68561.9 + 22277.1i −1.05439 + 0.342593i
\(256\) −46330.2 33660.9i −0.706943 0.513624i
\(257\) 23004.5 16713.8i 0.348295 0.253051i −0.399859 0.916577i \(-0.630941\pi\)
0.748153 + 0.663526i \(0.230941\pi\)
\(258\) −32167.9 + 99002.6i −0.483263 + 1.48733i
\(259\) 68872.5 + 22378.0i 1.02671 + 0.333597i
\(260\) −6697.71 9218.61i −0.0990786 0.136370i
\(261\) 35367.6 48679.3i 0.519188 0.714601i
\(262\) 30419.4 + 93621.2i 0.443147 + 1.36387i
\(263\) 55993.0i 0.809510i −0.914425 0.404755i \(-0.867357\pi\)
0.914425 0.404755i \(-0.132643\pi\)
\(264\) −5510.47 + 6211.97i −0.0790643 + 0.0891295i
\(265\) −111149. −1.58276
\(266\) 89951.7 29227.1i 1.27129 0.413069i
\(267\) 16516.6 + 12000.0i 0.231685 + 0.168329i
\(268\) 82450.2 59903.6i 1.14795 0.834033i
\(269\) −9817.61 + 30215.5i −0.135675 + 0.417566i −0.995694 0.0926960i \(-0.970452\pi\)
0.860019 + 0.510262i \(0.170452\pi\)
\(270\) −7165.93 2328.35i −0.0982981 0.0319390i
\(271\) 46838.5 + 64467.6i 0.637770 + 0.877815i 0.998494 0.0548576i \(-0.0174705\pi\)
−0.360724 + 0.932672i \(0.617470\pi\)
\(272\) 26201.9 36063.8i 0.354156 0.487454i
\(273\) −5062.55 15580.9i −0.0679273 0.209059i
\(274\) 48716.7i 0.648898i
\(275\) 34663.6 + 3383.73i 0.458362 + 0.0447436i
\(276\) 25381.2 0.333192
\(277\) −135986. + 44184.7i −1.77230 + 0.575854i −0.998351 0.0574001i \(-0.981719\pi\)
−0.773944 + 0.633254i \(0.781719\pi\)
\(278\) 123349. + 89618.3i 1.59605 + 1.15960i
\(279\) 6262.21 4549.76i 0.0804487 0.0584494i
\(280\) −2849.20 + 8768.94i −0.0363419 + 0.111849i
\(281\) 29206.6 + 9489.80i 0.369886 + 0.120183i 0.488061 0.872809i \(-0.337704\pi\)
−0.118175 + 0.992993i \(0.537704\pi\)
\(282\) −180155. 247961.i −2.26541 3.11807i
\(283\) −82477.7 + 113521.i −1.02983 + 1.41743i −0.124748 + 0.992188i \(0.539812\pi\)
−0.905078 + 0.425245i \(0.860188\pi\)
\(284\) −19455.8 59878.7i −0.241219 0.742396i
\(285\) 111984.i 1.37868i
\(286\) −6186.53 + 14177.0i −0.0756336 + 0.173322i
\(287\) −33115.4 −0.402037
\(288\) 117492. 38175.5i 1.41652 0.460256i
\(289\) −39719.2 28857.7i −0.475559 0.345514i
\(290\) −100023. + 72671.1i −1.18934 + 0.864104i
\(291\) −74438.1 + 229097.i −0.879042 + 2.70541i
\(292\) −34646.6 11257.4i −0.406345 0.132030i
\(293\) −75953.7 104541.i −0.884736 1.21774i −0.975086 0.221825i \(-0.928799\pi\)
0.0903501 0.995910i \(-0.471201\pi\)
\(294\) −37705.4 + 51897.0i −0.436223 + 0.600409i
\(295\) −4369.83 13449.0i −0.0502135 0.154541i
\(296\) 6757.75i 0.0771291i
\(297\) 1131.39 + 5135.32i 0.0128262 + 0.0582176i
\(298\) 148223. 1.66910
\(299\) 2469.89 802.517i 0.0276271 0.00897660i
\(300\) 50699.3 + 36835.2i 0.563325 + 0.409280i
\(301\) 65260.8 47414.8i 0.720310 0.523336i
\(302\) 48356.1 148825.i 0.530197 1.63178i
\(303\) −96009.3 31195.3i −1.04575 0.339785i
\(304\) 40701.4 + 56020.7i 0.440415 + 0.606180i
\(305\) −14512.6 + 19974.9i −0.156008 + 0.214727i
\(306\) 27762.2 + 85443.2i 0.296490 + 0.912503i
\(307\) 109144.i 1.15804i −0.815314 0.579020i \(-0.803435\pi\)
0.815314 0.579020i \(-0.196565\pi\)
\(308\) 114404. 25204.9i 1.20597 0.265695i
\(309\) 116455. 1.21967
\(310\) −15126.3 + 4914.83i −0.157402 + 0.0511429i
\(311\) −24253.7 17621.4i −0.250760 0.182187i 0.455304 0.890336i \(-0.349531\pi\)
−0.706063 + 0.708149i \(0.749531\pi\)
\(312\) −1236.82 + 898.603i −0.0127057 + 0.00923121i
\(313\) 48065.9 147932.i 0.490623 1.50998i −0.333045 0.942911i \(-0.608076\pi\)
0.823668 0.567072i \(-0.191924\pi\)
\(314\) −96120.7 31231.5i −0.974894 0.316762i
\(315\) 85692.5 + 117946.i 0.863618 + 1.18867i
\(316\) −108576. + 149443.i −1.08733 + 1.49658i
\(317\) 20369.3 + 62690.4i 0.202702 + 0.623853i 0.999800 + 0.0200029i \(0.00636756\pi\)
−0.797098 + 0.603850i \(0.793632\pi\)
\(318\) 271485.i 2.68467i
\(319\) 79083.4 + 34510.1i 0.777148 + 0.339129i
\(320\) −137696. −1.34469
\(321\) 243792. 79212.9i 2.36597 0.768751i
\(322\) −30950.0 22486.5i −0.298503 0.216875i
\(323\) −43262.7 + 31432.2i −0.414676 + 0.301280i
\(324\) 32833.0 101050.i 0.312767 0.962597i
\(325\) 6098.31 + 1981.46i 0.0577355 + 0.0187594i
\(326\) 20752.9 + 28563.9i 0.195274 + 0.268771i
\(327\) 31917.7 43930.9i 0.298494 0.410842i
\(328\) 954.936 + 2938.99i 0.00887619 + 0.0273181i
\(329\) 237510.i 2.19427i
\(330\) 26210.8 268509.i 0.240687 2.46565i
\(331\) 43362.4 0.395783 0.197891 0.980224i \(-0.436591\pi\)
0.197891 + 0.980224i \(0.436591\pi\)
\(332\) −71771.3 + 23319.9i −0.651140 + 0.211568i
\(333\) −86445.5 62806.4i −0.779568 0.566389i
\(334\) 18047.0 13111.9i 0.161775 0.117537i
\(335\) −56202.8 + 172974.i −0.500804 + 1.54132i
\(336\) −168040. 54599.5i −1.48845 0.483626i
\(337\) −80558.5 110879.i −0.709335 0.976316i −0.999811 0.0194335i \(-0.993814\pi\)
0.290476 0.956882i \(-0.406186\pi\)
\(338\) 94661.9 130291.i 0.828594 1.14046i
\(339\) −86776.8 267072.i −0.755100 2.32396i
\(340\) 94905.6i 0.820982i
\(341\) 8303.66 + 7365.94i 0.0714103 + 0.0633460i
\(342\) −139556. −1.19315
\(343\) −83307.3 + 27068.2i −0.708101 + 0.230076i
\(344\) −6089.97 4424.62i −0.0514633 0.0373903i
\(345\) −36644.7 + 26624.0i −0.307874 + 0.223684i
\(346\) −56859.6 + 174996.i −0.474954 + 1.46176i
\(347\) 87946.7 + 28575.6i 0.730399 + 0.237321i 0.650526 0.759484i \(-0.274548\pi\)
0.0798733 + 0.996805i \(0.474548\pi\)
\(348\) 91256.9 + 125604.i 0.753542 + 1.03716i
\(349\) −55119.1 + 75865.0i −0.452534 + 0.622860i −0.972940 0.231059i \(-0.925781\pi\)
0.520405 + 0.853919i \(0.325781\pi\)
\(350\) −29188.8 89834.0i −0.238276 0.733339i
\(351\) 968.121i 0.00785806i
\(352\) 89711.7 + 152759.i 0.724042 + 1.23288i
\(353\) 44676.1 0.358530 0.179265 0.983801i \(-0.442628\pi\)
0.179265 + 0.983801i \(0.442628\pi\)
\(354\) −32849.4 + 10673.4i −0.262133 + 0.0851721i
\(355\) 90900.2 + 66042.9i 0.721287 + 0.524046i
\(356\) −21743.8 + 15797.8i −0.171568 + 0.124651i
\(357\) 42165.1 129771.i 0.330839 1.01822i
\(358\) 44766.8 + 14545.6i 0.349293 + 0.113492i
\(359\) −13799.1 18992.8i −0.107069 0.147367i 0.752120 0.659026i \(-0.229031\pi\)
−0.859189 + 0.511659i \(0.829031\pi\)
\(360\) 7996.59 11006.4i 0.0617021 0.0849256i
\(361\) 14602.0 + 44940.3i 0.112046 + 0.344843i
\(362\) 147578.i 1.12617i
\(363\) −170851. + 79122.9i −1.29660 + 0.600467i
\(364\) 21567.6 0.162779
\(365\) 61830.4 20089.9i 0.464105 0.150797i
\(366\) 48789.3 + 35447.5i 0.364219 + 0.264621i
\(367\) −13925.4 + 10117.4i −0.103389 + 0.0751166i −0.638279 0.769805i \(-0.720353\pi\)
0.534890 + 0.844922i \(0.320353\pi\)
\(368\) 8655.12 26637.7i 0.0639113 0.196699i
\(369\) 46470.9 + 15099.3i 0.341294 + 0.110893i
\(370\) 129051. + 177623.i 0.942663 + 1.29746i
\(371\) 123657. 170199.i 0.898402 1.23654i
\(372\) 6171.81 + 18994.9i 0.0445991 + 0.137262i
\(373\) 61718.8i 0.443609i −0.975091 0.221804i \(-0.928805\pi\)
0.975091 0.221804i \(-0.0711946\pi\)
\(374\) −111090. + 65240.6i −0.794206 + 0.466418i
\(375\) 131002. 0.931566
\(376\) 21079.0 6848.98i 0.149099 0.0484451i
\(377\) 12851.8 + 9337.38i 0.0904235 + 0.0656965i
\(378\) 11537.7 8382.61i 0.0807485 0.0586672i
\(379\) 57277.9 176283.i 0.398757 1.22725i −0.527240 0.849717i \(-0.676773\pi\)
0.925997 0.377531i \(-0.123227\pi\)
\(380\) 140209. + 45556.6i 0.970975 + 0.315489i
\(381\) −71679.4 98658.3i −0.493793 0.679647i
\(382\) 7604.82 10467.1i 0.0521149 0.0717301i
\(383\) 41231.5 + 126898.i 0.281081 + 0.865079i 0.987546 + 0.157331i \(0.0502888\pi\)
−0.706465 + 0.707748i \(0.749711\pi\)
\(384\) 35077.6i 0.237885i
\(385\) −138734. + 156395.i −0.935968 + 1.05512i
\(386\) 120084. 0.805953
\(387\) −113200. + 36780.9i −0.755831 + 0.245584i
\(388\) −256558. 186400.i −1.70421 1.23818i
\(389\) −33845.2 + 24589.9i −0.223665 + 0.162502i −0.693975 0.719999i \(-0.744142\pi\)
0.470310 + 0.882501i \(0.344142\pi\)
\(390\) 15348.7 47238.4i 0.100912 0.310574i
\(391\) 20571.3 + 6684.03i 0.134558 + 0.0437205i
\(392\) −2726.59 3752.83i −0.0177438 0.0244223i
\(393\) −129668. + 178472.i −0.839550 + 1.15554i
\(394\) −2974.42 9154.33i −0.0191607 0.0589704i
\(395\) 329654.i 2.11283i
\(396\) −172035. 16793.4i −1.09705 0.107090i
\(397\) −195481. −1.24029 −0.620147 0.784486i \(-0.712927\pi\)
−0.620147 + 0.784486i \(0.712927\pi\)
\(398\) −240171. + 78036.2i −1.51619 + 0.492641i
\(399\) 171477. + 124585.i 1.07711 + 0.782566i
\(400\) 55947.4 40648.2i 0.349671 0.254051i
\(401\) −42742.6 + 131548.i −0.265810 + 0.818080i 0.725695 + 0.688016i \(0.241518\pi\)
−0.991506 + 0.130064i \(0.958482\pi\)
\(402\) 422494. + 137277.i 2.61438 + 0.849464i
\(403\) 1201.18 + 1653.28i 0.00739602 + 0.0101797i
\(404\) 78116.1 107518.i 0.478606 0.658744i
\(405\) 58593.8 + 180333.i 0.357225 + 1.09943i
\(406\) 234012.i 1.41966i
\(407\) 61283.7 140438.i 0.369961 0.847802i
\(408\) −12733.1 −0.0764914
\(409\) 212782. 69137.1i 1.27200 0.413299i 0.406247 0.913763i \(-0.366837\pi\)
0.865757 + 0.500464i \(0.166837\pi\)
\(410\) −81224.8 59013.3i −0.483193 0.351061i
\(411\) −88324.3 + 64171.4i −0.522873 + 0.379890i
\(412\) −47375.8 + 145808.i −0.279101 + 0.858985i
\(413\) 25455.6 + 8271.02i 0.149239 + 0.0484907i
\(414\) 33179.3 + 45667.4i 0.193583 + 0.266444i
\(415\) 79159.7 108954.i 0.459630 0.632626i
\(416\) 10078.7 + 31019.0i 0.0582394 + 0.179243i
\(417\) 341683.i 1.96495i
\(418\) −43057.7 195436.i −0.246432 1.11854i
\(419\) −202558. −1.15378 −0.576889 0.816822i \(-0.695734\pi\)
−0.576889 + 0.816822i \(0.695734\pi\)
\(420\) −357759. + 116243.i −2.02811 + 0.658973i
\(421\) −144786. 105193.i −0.816889 0.593505i 0.0989305 0.995094i \(-0.468458\pi\)
−0.915820 + 0.401590i \(0.868458\pi\)
\(422\) −38491.7 + 27965.9i −0.216144 + 0.157038i
\(423\) 108295. 333298.i 0.605241 1.86274i
\(424\) −18671.0 6066.59i −0.103857 0.0337453i
\(425\) 31391.1 + 43206.1i 0.173791 + 0.239203i
\(426\) 161311. 222026.i 0.888886 1.22345i
\(427\) −14441.2 44445.6i −0.0792043 0.243766i
\(428\) 337465.i 1.84222i
\(429\) −33852.4 + 7458.21i −0.183939 + 0.0405247i
\(430\) 244566. 1.32269
\(431\) −88598.8 + 28787.5i −0.476951 + 0.154971i −0.537620 0.843187i \(-0.680676\pi\)
0.0606693 + 0.998158i \(0.480676\pi\)
\(432\) 8447.07 + 6137.16i 0.0452625 + 0.0328851i
\(433\) 46736.5 33956.1i 0.249276 0.181110i −0.456130 0.889913i \(-0.650765\pi\)
0.705406 + 0.708804i \(0.250765\pi\)
\(434\) 9302.56 28630.3i 0.0493882 0.152001i
\(435\) −263509. 85619.1i −1.39257 0.452472i
\(436\) 42019.0 + 57834.2i 0.221041 + 0.304237i
\(437\) −19749.3 + 27182.6i −0.103416 + 0.142340i
\(438\) −49070.1 151022.i −0.255781 0.787214i
\(439\) 172784.i 0.896548i 0.893896 + 0.448274i \(0.147961\pi\)
−0.893896 + 0.448274i \(0.852039\pi\)
\(440\) 17880.7 + 7802.72i 0.0923590 + 0.0403033i
\(441\) −73347.3 −0.377144
\(442\) −22557.8 + 7329.47i −0.115465 + 0.0375170i
\(443\) 170724. + 124038.i 0.869936 + 0.632046i 0.930570 0.366115i \(-0.119312\pi\)
−0.0606337 + 0.998160i \(0.519312\pi\)
\(444\) 223050. 162055.i 1.13145 0.822049i
\(445\) 14821.8 45616.9i 0.0748482 0.230359i
\(446\) −244013. 79284.7i −1.22672 0.398584i
\(447\) 195244. + 268731.i 0.977156 + 1.34494i
\(448\) 153192. 210850.i 0.763272 1.05055i
\(449\) 71989.6 + 221561.i 0.357089 + 1.09901i 0.954788 + 0.297287i \(0.0960820\pi\)
−0.597699 + 0.801721i \(0.703918\pi\)
\(450\) 139373.i 0.688263i
\(451\) −6807.49 + 69737.2i −0.0334683 + 0.342856i
\(452\) 369689. 1.80950
\(453\) 333519. 108367.i 1.62526 0.528080i
\(454\) 73161.4 + 53154.8i 0.354952 + 0.257888i
\(455\) −31138.7 + 22623.6i −0.150411 + 0.109280i
\(456\) 6112.13 18811.2i 0.0293943 0.0904664i
\(457\) −242280. 78721.6i −1.16007 0.376931i −0.335144 0.942167i \(-0.608785\pi\)
−0.824929 + 0.565236i \(0.808785\pi\)
\(458\) 1385.89 + 1907.51i 0.00660688 + 0.00909359i
\(459\) −4739.50 + 6523.36i −0.0224961 + 0.0309632i
\(460\) −18426.9 56712.0i −0.0870834 0.268015i
\(461\) 372162.i 1.75118i −0.483058 0.875588i \(-0.660474\pi\)
0.483058 0.875588i \(-0.339526\pi\)
\(462\) 381999. + 338861.i 1.78969 + 1.58759i
\(463\) 43261.0 0.201806 0.100903 0.994896i \(-0.467827\pi\)
0.100903 + 0.994896i \(0.467827\pi\)
\(464\) 162941. 52942.9i 0.756825 0.245907i
\(465\) −28835.6 20950.3i −0.133359 0.0968911i
\(466\) −291586. + 211849.i −1.34275 + 0.975563i
\(467\) 10235.8 31502.6i 0.0469342 0.144449i −0.924843 0.380349i \(-0.875804\pi\)
0.971777 + 0.235900i \(0.0758039\pi\)
\(468\) −30265.9 9833.99i −0.138185 0.0448991i
\(469\) −202343. 278501.i −0.919904 1.26614i
\(470\) −423254. + 582559.i −1.91604 + 2.63721i
\(471\) −69990.3 215408.i −0.315498 0.971002i
\(472\) 2497.69i 0.0112113i
\(473\) −86434.6 147179.i −0.386336 0.657845i
\(474\) −805188. −3.58377
\(475\) −78898.9 + 25635.8i −0.349690 + 0.113621i
\(476\) 145326. + 105586.i 0.641401 + 0.466005i
\(477\) −251132. + 182458.i −1.10374 + 0.801913i
\(478\) −33367.1 + 102693.i −0.146037 + 0.449456i
\(479\) −157035. 51023.9i −0.684426 0.222383i −0.0538938 0.998547i \(-0.517163\pi\)
−0.630532 + 0.776163i \(0.717163\pi\)
\(480\) −334366. 460215.i −1.45124 1.99746i
\(481\) 16581.5 22822.4i 0.0716692 0.0986443i
\(482\) −92601.3 284998.i −0.398587 1.22672i
\(483\) 85733.0i 0.367497i
\(484\) −29560.8 246102.i −0.126190 1.05057i
\(485\) 565939. 2.40595
\(486\) 459680. 149359.i 1.94618 0.632353i
\(487\) 129163. + 93842.4i 0.544603 + 0.395677i 0.825792 0.563975i \(-0.190729\pi\)
−0.281189 + 0.959653i \(0.590729\pi\)
\(488\) −3528.11 + 2563.32i −0.0148150 + 0.0107637i
\(489\) −24450.5 + 75250.8i −0.102251 + 0.314698i
\(490\) 143333. + 46571.8i 0.596973 + 0.193968i
\(491\) 205651. + 283054.i 0.853036 + 1.17410i 0.983186 + 0.182609i \(0.0584543\pi\)
−0.130149 + 0.991494i \(0.541546\pi\)
\(492\) −74106.1 + 101998.i −0.306142 + 0.421369i
\(493\) 40885.8 + 125834.i 0.168220 + 0.517729i
\(494\) 36844.1i 0.150978i
\(495\) 265996. 156213.i 1.08559 0.637538i
\(496\) 22039.8 0.0895869
\(497\) −202259. + 65717.9i −0.818832 + 0.266055i
\(498\) −266123. 193350.i −1.07306 0.779623i
\(499\) 119390. 86742.2i 0.479478 0.348361i −0.321646 0.946860i \(-0.604236\pi\)
0.801123 + 0.598499i \(0.204236\pi\)
\(500\) −53293.4 + 164020.i −0.213174 + 0.656081i
\(501\) 47544.3 + 15448.1i 0.189419 + 0.0615459i
\(502\) 124413. + 171239.i 0.493693 + 0.679510i
\(503\) −239182. + 329206.i −0.945350 + 1.30116i 0.00821208 + 0.999966i \(0.497386\pi\)
−0.953562 + 0.301196i \(0.902614\pi\)
\(504\) 7957.24 + 24489.9i 0.0313258 + 0.0964108i
\(505\) 237172.i 0.929995i
\(506\) −53716.4 + 60554.7i −0.209800 + 0.236508i
\(507\) 360912. 1.40406
\(508\) 152685. 49610.5i 0.591657 0.192241i
\(509\) −252309. 183313.i −0.973862 0.707552i −0.0175338 0.999846i \(-0.505581\pi\)
−0.956329 + 0.292294i \(0.905581\pi\)
\(510\) 334680. 243159.i 1.28674 0.934869i
\(511\) −38025.2 + 117030.i −0.145623 + 0.448182i
\(512\) 354049. + 115037.i 1.35059 + 0.438833i
\(513\) −7362.23 10133.2i −0.0279753 0.0385047i
\(514\) −95911.2 + 132010.i −0.363031 + 0.499669i
\(515\) −84546.8 260208.i −0.318774 0.981086i
\(516\) 307114.i 1.15346i
\(517\) 500168. + 48824.6i 1.87126 + 0.182666i
\(518\) −415561. −1.54873
\(519\) −392169. + 127423.i −1.45592 + 0.473058i
\(520\) 2905.78 + 2111.17i 0.0107462 + 0.00780760i
\(521\) 254154. 184653.i 0.936313 0.680271i −0.0112174 0.999937i \(-0.503571\pi\)
0.947530 + 0.319666i \(0.103571\pi\)
\(522\) −106700. + 328389.i −0.391583 + 1.20517i
\(523\) 363288. + 118039.i 1.32815 + 0.431543i 0.885287 0.465046i \(-0.153962\pi\)
0.442865 + 0.896588i \(0.353962\pi\)
\(524\) −170705. 234956.i −0.621705 0.855703i
\(525\) 124422. 171253.i 0.451419 0.621325i
\(526\) 99291.3 + 305587.i 0.358872 + 1.10450i
\(527\) 17020.5i 0.0612847i
\(528\) −149524. + 342649.i −0.536344 + 1.22908i
\(529\) −266251. −0.951435
\(530\) 606607. 197099.i 2.15951 0.701668i
\(531\) −31950.6 23213.5i −0.113316 0.0823287i
\(532\) −225746. + 164014.i −0.797623 + 0.579507i
\(533\) −3986.36 + 12268.8i −0.0140321 + 0.0431863i
\(534\) −111420. 36202.7i −0.390735 0.126957i
\(535\) −353988. 487223.i −1.23675 1.70224i
\(536\) −18882.1 + 25989.0i −0.0657235 + 0.0904606i
\(537\) 32597.0 + 100323.i 0.113039 + 0.347899i
\(538\) 182313.i 0.629875i
\(539\) −22630.1 102717.i −0.0778949 0.353560i
\(540\) 22229.3 0.0762323
\(541\) −205447. + 66753.7i −0.701947 + 0.228077i −0.638179 0.769888i \(-0.720312\pi\)
−0.0637686 + 0.997965i \(0.520312\pi\)
\(542\) −369945. 268781.i −1.25933 0.914955i
\(543\) 267563. 194396.i 0.907457 0.659306i
\(544\) −83943.6 + 258352.i −0.283655 + 0.872999i
\(545\) −121332. 39423.1i −0.408491 0.132727i
\(546\) 55258.8 + 76057.2i 0.185360 + 0.255126i
\(547\) 98792.7 135977.i 0.330180 0.454453i −0.611361 0.791352i \(-0.709378\pi\)
0.941541 + 0.336898i \(0.109378\pi\)
\(548\) −44414.0 136692.i −0.147897 0.455180i
\(549\) 68955.2i 0.228782i
\(550\) −195181. + 43001.3i −0.645225 + 0.142153i
\(551\) −205526. −0.676962
\(552\) −7608.81 + 2472.25i −0.0249711 + 0.00811362i
\(553\) 504789. + 366751.i 1.65067 + 1.19928i
\(554\) 663808. 482285.i 2.16283 1.57139i
\(555\) −152044. + 467943.i −0.493608 + 1.51917i
\(556\) −427803. 139002.i −1.38387 0.449646i
\(557\) −160840. 221378.i −0.518424 0.713549i 0.466888 0.884317i \(-0.345375\pi\)
−0.985311 + 0.170768i \(0.945375\pi\)
\(558\) −26108.6 + 35935.4i −0.0838524 + 0.115413i
\(559\) −9710.51 29885.9i −0.0310755 0.0956406i
\(560\) 415109.i 1.32369i
\(561\) −264615. 115472.i −0.840792 0.366902i
\(562\) −176226. −0.557953
\(563\) −306071. + 99448.5i −0.965618 + 0.313748i −0.749046 0.662518i \(-0.769488\pi\)
−0.216572 + 0.976267i \(0.569488\pi\)
\(564\) 731550. + 531502.i 2.29978 + 1.67089i
\(565\) −533747. + 387790.i −1.67201 + 1.21478i
\(566\) 248826. 765808.i 0.776717 2.39049i
\(567\) −341326. 110904.i −1.06171 0.344969i
\(568\) 11664.9 + 16055.4i 0.0361564 + 0.0497651i
\(569\) 259931. 357764.i 0.802848 1.10503i −0.189540 0.981873i \(-0.560700\pi\)
0.992388 0.123153i \(-0.0393005\pi\)
\(570\) 198578. + 611161.i 0.611199 + 1.88108i
\(571\) 560951.i 1.72049i 0.509880 + 0.860246i \(0.329690\pi\)
−0.509880 + 0.860246i \(0.670310\pi\)
\(572\) 4433.63 45419.0i 0.0135509 0.138818i
\(573\) 28994.5 0.0883093
\(574\) 180731. 58722.9i 0.548539 0.178231i
\(575\) 27147.0 + 19723.5i 0.0821082 + 0.0596551i
\(576\) −311114. + 226038.i −0.937723 + 0.681296i
\(577\) 129705. 399192.i 0.389588 1.19903i −0.543508 0.839404i \(-0.682904\pi\)
0.933097 0.359626i \(-0.117096\pi\)
\(578\) 267944. + 87060.4i 0.802027 + 0.260594i
\(579\) 158179. + 217714.i 0.471836 + 0.649427i
\(580\) 214399. 295094.i 0.637332 0.877213i
\(581\) 78770.2 + 242430.i 0.233351 + 0.718181i
\(582\) 1.38232e6i 4.08096i
\(583\) −333000. 295395.i −0.979732 0.869093i
\(584\) 11482.9 0.0336687
\(585\) 54012.6 17549.8i 0.157828 0.0512813i
\(586\) 599907. + 435858.i 1.74698 + 1.26926i
\(587\) −47114.9 + 34231.0i −0.136736 + 0.0993444i −0.654051 0.756451i \(-0.726932\pi\)
0.517315 + 0.855795i \(0.326932\pi\)
\(588\) 58482.6 179991.i 0.169150 0.520590i
\(589\) −25145.3 8170.20i −0.0724813 0.0235506i
\(590\) 47697.6 + 65650.1i 0.137023 + 0.188596i
\(591\) 12679.0 17451.1i 0.0363002 0.0499630i
\(592\) −94016.8 289354.i −0.268264 0.825631i
\(593\) 59573.5i 0.169412i 0.996406 + 0.0847060i \(0.0269951\pi\)
−0.996406 + 0.0847060i \(0.973005\pi\)
\(594\) −15281.0 26020.2i −0.0433092 0.0737460i
\(595\) −320573. −0.905510
\(596\) −415893. + 135132.i −1.17082 + 0.380421i
\(597\) −457843. 332643.i −1.28460 0.933317i
\(598\) −12056.6 + 8759.64i −0.0337150 + 0.0244954i
\(599\) −39195.0 + 120630.i −0.109239 + 0.336203i −0.990702 0.136050i \(-0.956559\pi\)
0.881463 + 0.472253i \(0.156559\pi\)
\(600\) −18786.6 6104.13i −0.0521850 0.0169559i
\(601\) 316638. + 435815.i 0.876626 + 1.20657i 0.977344 + 0.211657i \(0.0678859\pi\)
−0.100718 + 0.994915i \(0.532114\pi\)
\(602\) −272088. + 374497.i −0.750786 + 1.03337i
\(603\) 156963. + 483082.i 0.431680 + 1.32858i
\(604\) 461667.i 1.26548i
\(605\) 300831. + 324308.i 0.821887 + 0.886026i
\(606\) 579299. 1.57746
\(607\) 19437.1 6315.50i 0.0527539 0.0171408i −0.282521 0.959261i \(-0.591171\pi\)
0.335275 + 0.942120i \(0.391171\pi\)
\(608\) −341382. 248028.i −0.923492 0.670956i
\(609\) 424268. 308249.i 1.14395 0.831125i
\(610\) 43783.0 134750.i 0.117665 0.362135i
\(611\) 87993.8 + 28590.9i 0.235706 + 0.0765854i
\(612\) −155794. 214432.i −0.415956 0.572514i
\(613\) 337448. 464458.i 0.898021 1.23602i −0.0730746 0.997326i \(-0.523281\pi\)
0.971095 0.238693i \(-0.0767189\pi\)
\(614\) 193543. + 595665.i 0.513383 + 1.58003i
\(615\) 224997.i 0.594875i
\(616\) −31840.9 + 18699.4i −0.0839120 + 0.0492795i
\(617\) 99904.0 0.262430 0.131215 0.991354i \(-0.458112\pi\)
0.131215 + 0.991354i \(0.458112\pi\)
\(618\) −635566. + 206508.i −1.66412 + 0.540704i
\(619\) −126477. 91890.9i −0.330088 0.239823i 0.410380 0.911915i \(-0.365396\pi\)
−0.740468 + 0.672091i \(0.765396\pi\)
\(620\) 37961.5 27580.7i 0.0987553 0.0717499i
\(621\) −1565.57 + 4818.33i −0.00405966 + 0.0124944i
\(622\) 163615. + 53161.7i 0.422904 + 0.137410i
\(623\) 53362.0 + 73446.4i 0.137485 + 0.189232i
\(624\) −40456.6 + 55683.7i −0.103901 + 0.143008i
\(625\) −150699. 463805.i −0.385790 1.18734i
\(626\) 892586.i 2.27773i
\(627\) 297613. 335500.i 0.757036 0.853410i
\(628\) 298175. 0.756051
\(629\) 223457. 72605.7i 0.564798 0.183514i
\(630\) −676826. 491743.i −1.70528 1.23896i
\(631\) 158197. 114937.i 0.397320 0.288670i −0.371128 0.928582i \(-0.621029\pi\)
0.768449 + 0.639912i \(0.221029\pi\)
\(632\) 17992.7 55375.9i 0.0450466 0.138639i
\(633\) −101405. 32948.6i −0.253078 0.0822299i
\(634\) −222336. 306019.i −0.553134 0.761324i
\(635\) −168403. + 231787.i −0.417641 + 0.574834i
\(636\) −247507. 761748.i −0.611890 1.88320i
\(637\) 19364.4i 0.0477227i
\(638\) −492802. 48105.5i −1.21068 0.118182i
\(639\) 313795. 0.768502
\(640\) 78377.6 25466.4i 0.191352 0.0621739i
\(641\) −384875. 279628.i −0.936707 0.680558i 0.0109187 0.999940i \(-0.496524\pi\)
−0.947626 + 0.319383i \(0.896524\pi\)
\(642\) −1.19005e6 + 864625.i −2.88733 + 2.09777i
\(643\) 32940.2 101379.i 0.0796717 0.245204i −0.903285 0.429041i \(-0.858852\pi\)
0.982957 + 0.183836i \(0.0588517\pi\)
\(644\) 107342. + 34877.5i 0.258820 + 0.0840957i
\(645\) 322152. + 443404.i 0.774356 + 1.06581i
\(646\) 180372. 248261.i 0.432220 0.594900i
\(647\) 150867. + 464321.i 0.360401 + 1.10920i 0.952811 + 0.303564i \(0.0981765\pi\)
−0.592410 + 0.805637i \(0.701823\pi\)
\(648\) 33490.8i 0.0797583i
\(649\) 22650.7 51906.3i 0.0537764 0.123234i
\(650\) −36795.9 −0.0870908
\(651\) 64161.1 20847.2i 0.151394 0.0491910i
\(652\) −84270.9 61226.4i −0.198236 0.144027i
\(653\) −359630. + 261287.i −0.843393 + 0.612761i −0.923316 0.384040i \(-0.874532\pi\)
0.0799236 + 0.996801i \(0.474532\pi\)
\(654\) −96292.0 + 296356.i −0.225131 + 0.692881i
\(655\) 492919. + 160159.i 1.14893 + 0.373309i
\(656\) 81777.1 + 112557.i 0.190031 + 0.261555i
\(657\) 106722. 146890.i 0.247242 0.340300i
\(658\) −421172. 1.29623e6i −0.972764 2.99386i
\(659\) 132146.i 0.304287i −0.988358 0.152143i \(-0.951382\pi\)
0.988358 0.152143i \(-0.0486175\pi\)
\(660\) 171250. + 777295.i 0.393137 + 1.78442i
\(661\) −502482. −1.15005 −0.575026 0.818135i \(-0.695008\pi\)
−0.575026 + 0.818135i \(0.695008\pi\)
\(662\) −236655. + 76893.7i −0.540006 + 0.175459i
\(663\) −43002.5 31243.1i −0.0978287 0.0710767i
\(664\) 19244.2 13981.7i 0.0436479 0.0317121i
\(665\) 153882. 473599.i 0.347971 1.07095i
\(666\) 583159. + 189480.i 1.31474 + 0.427183i
\(667\) 48863.7 + 67255.1i 0.109833 + 0.151173i
\(668\) −38683.5 + 53243.3i −0.0866908 + 0.119320i
\(669\) −177678. 546838.i −0.396993 1.22182i
\(670\) 1.04369e6i 2.32499i
\(671\) −96566.0 + 21275.0i −0.214476 + 0.0472525i
\(672\) 1.07671e6 2.38429
\(673\) 416181. 135225.i 0.918866 0.298558i 0.188865 0.982003i \(-0.439519\pi\)
0.730002 + 0.683445i \(0.239519\pi\)
\(674\) 636276. + 462282.i 1.40064 + 1.01762i
\(675\) −10120.0 + 7352.60i −0.0222112 + 0.0161374i
\(676\) −146825. + 451880.i −0.321296 + 0.988848i
\(677\) 77134.7 + 25062.6i 0.168295 + 0.0546825i 0.391953 0.919985i \(-0.371800\pi\)
−0.223657 + 0.974668i \(0.571800\pi\)
\(678\) 947186. + 1.30369e6i 2.06052 + 2.83606i
\(679\) −629625. + 866605.i −1.36566 + 1.87967i
\(680\) 9244.25 + 28450.9i 0.0199919 + 0.0615287i
\(681\) 202661.i 0.436994i
\(682\) −58379.9 25475.6i −0.125515 0.0547717i
\(683\) 441204. 0.945797 0.472899 0.881117i \(-0.343208\pi\)
0.472899 + 0.881117i \(0.343208\pi\)
\(684\) 391575. 127230.i 0.836956 0.271943i
\(685\) 207509. + 150764.i 0.442237 + 0.321304i
\(686\) 406659. 295455.i 0.864135 0.627831i
\(687\) −1632.81 + 5025.28i −0.00345957 + 0.0106475i
\(688\) −322318. 104728.i −0.680939 0.221250i
\(689\) −48170.7 66301.3i −0.101472 0.139664i
\(690\) 152781. 210284.i 0.320900 0.441681i
\(691\) −109617. 337366.i −0.229573 0.706555i −0.997795 0.0663705i \(-0.978858\pi\)
0.768222 0.640184i \(-0.221142\pi\)
\(692\) 542853.i 1.13363i
\(693\) −56725.1 + 581103.i −0.118116 + 1.21000i
\(694\) −530651. −1.10177
\(695\) 763459. 248063.i 1.58058 0.513561i
\(696\) −39591.5 28764.9i −0.0817304 0.0593806i
\(697\) −86923.2 + 63153.4i −0.178925 + 0.129996i
\(698\) 166288. 511783.i 0.341311 1.05045i
\(699\) −768174. 249595.i −1.57219 0.510836i
\(700\) 163800. + 225451.i 0.334285 + 0.460104i
\(701\) −280476. + 386042.i −0.570768 + 0.785595i −0.992645 0.121058i \(-0.961371\pi\)
0.421877 + 0.906653i \(0.361371\pi\)
\(702\) −1716.75 5283.62i −0.00348364 0.0107215i
\(703\) 364977.i 0.738507i
\(704\) −412536. 365949.i −0.832370 0.738372i
\(705\) −1.61372e6 −3.24675
\(706\) −243824. + 79223.3i −0.489178 + 0.158944i
\(707\) −363174. 263862.i −0.726568 0.527883i
\(708\) 82440.3 59896.4i 0.164465 0.119491i
\(709\) −7462.11 + 22966.0i −0.0148446 + 0.0456870i −0.958204 0.286084i \(-0.907646\pi\)
0.943360 + 0.331771i \(0.107646\pi\)
\(710\) −613210. 199244.i −1.21644 0.395247i
\(711\) −541148. 744826.i −1.07048 1.47338i
\(712\) 4979.59 6853.82i 0.00982277 0.0135199i
\(713\) 3304.70 + 10170.8i 0.00650060 + 0.0200068i
\(714\) 783008.i 1.53593i
\(715\) 41241.6 + 70225.4i 0.0806722 + 0.137367i
\(716\) −138870. −0.270884
\(717\) −230138. + 74776.3i −0.447661 + 0.145454i
\(718\) 108990. + 79185.6i 0.211415 + 0.153602i
\(719\) −169370. + 123055.i −0.327626 + 0.238034i −0.739423 0.673241i \(-0.764901\pi\)
0.411796 + 0.911276i \(0.364901\pi\)
\(720\) 189273. 582524.i 0.365111 1.12370i
\(721\) 492510. + 160026.i 0.947425 + 0.307837i
\(722\) −159384. 219373.i −0.305752 0.420832i
\(723\) 394729. 543297.i 0.755131 1.03935i
\(724\) 134544. + 414085.i 0.256678 + 0.789973i
\(725\) 205257.i 0.390502i
\(726\) 792130. 734788.i 1.50288 1.39408i
\(727\) 873464. 1.65263 0.826316 0.563206i \(-0.190432\pi\)
0.826316 + 0.563206i \(0.190432\pi\)
\(728\) −6465.56 + 2100.79i −0.0121995 + 0.00396387i
\(729\) 465040. + 337871.i 0.875055 + 0.635765i
\(730\) −301820. + 219285.i −0.566374 + 0.411495i
\(731\) 80877.1 248914.i 0.151353 0.465817i
\(732\) −169213. 54980.6i −0.315800 0.102609i
\(733\) 203287. + 279801.i 0.378357 + 0.520764i 0.955148 0.296128i \(-0.0956954\pi\)
−0.576791 + 0.816892i \(0.695695\pi\)
\(734\) 58058.2 79910.3i 0.107763 0.148324i
\(735\) 104368. + 321212.i 0.193194 + 0.594590i
\(736\) 170680.i 0.315084i
\(737\) −628087. + 368860.i −1.15634 + 0.679089i
\(738\) −280395. −0.514823
\(739\) −46530.6 + 15118.7i −0.0852021 + 0.0276838i −0.351308 0.936260i \(-0.614263\pi\)
0.266106 + 0.963944i \(0.414263\pi\)
\(740\) −524033. 380732.i −0.956963 0.695275i
\(741\) 66799.1 48532.4i 0.121656 0.0883884i
\(742\) −373059. + 1.14816e6i −0.677595 + 2.08542i
\(743\) 471791. + 153294.i 0.854618 + 0.277682i 0.703379 0.710815i \(-0.251674\pi\)
0.151239 + 0.988497i \(0.451674\pi\)
\(744\) −3700.38 5093.13i −0.00668498 0.00920109i
\(745\) 458707. 631355.i 0.826461 1.13753i
\(746\) 109445. + 336837.i 0.196661 + 0.605260i
\(747\) 376119.i 0.674037i
\(748\) 252226. 284335.i 0.450802 0.508191i
\(749\) 1.13989e6 2.03189
\(750\) −714954. + 232303.i −1.27103 + 0.412982i
\(751\) −631084. 458509.i −1.11894 0.812958i −0.134893 0.990860i \(-0.543069\pi\)
−0.984048 + 0.177902i \(0.943069\pi\)
\(752\) 807276. 586521.i 1.42753 1.03716i
\(753\) −146579. + 451125.i −0.258513 + 0.795623i
\(754\) −86697.8 28169.8i −0.152499 0.0495498i
\(755\) −484271. 666542.i −0.849561 1.16932i
\(756\) −24730.9 + 34039.1i −0.0432709 + 0.0595573i
\(757\) 149655. + 460592.i 0.261156 + 0.803757i 0.992554 + 0.121805i \(0.0388684\pi\)
−0.731398 + 0.681951i \(0.761132\pi\)
\(758\) 1.06365e6i 1.85123i
\(759\) −180544. 17624.0i −0.313400 0.0305930i
\(760\) −46469.4 −0.0804525
\(761\) −620134. + 201494.i −1.07082 + 0.347930i −0.790807 0.612066i \(-0.790339\pi\)
−0.280013 + 0.959996i \(0.590339\pi\)
\(762\) 566147. + 411330.i 0.975033 + 0.708403i
\(763\) 195353. 141932.i 0.335561 0.243799i
\(764\) −11795.4 + 36302.5i −0.0202081 + 0.0621942i
\(765\) 449861. + 146169.i 0.768698 + 0.249765i
\(766\) −450050. 619441.i −0.767014 1.05570i
\(767\) 6128.58 8435.27i 0.0104176 0.0143386i
\(768\) 227578. + 700413.i 0.385840 + 1.18749i
\(769\) 221470.i 0.374508i −0.982311 0.187254i \(-0.940041\pi\)
0.982311 0.187254i \(-0.0599588\pi\)
\(770\) 479821. 1.09956e6i 0.809278 1.854