Properties

Label 76.5.l.a.23.20
Level $76$
Weight $5$
Character 76.23
Analytic conductor $7.856$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 76.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.85611719437\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(38\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 23.20
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.324370 + 3.98683i) q^{2} +(10.8623 - 1.91531i) q^{3} +(-15.7896 - 2.58641i) q^{4} +(23.2093 - 19.4749i) q^{5} +(4.11262 + 43.9272i) q^{6} +(10.4065 + 6.00818i) q^{7} +(15.4332 - 62.1113i) q^{8} +(38.2053 - 13.9056i) q^{9} +O(q^{10})\) \(q+(-0.324370 + 3.98683i) q^{2} +(10.8623 - 1.91531i) q^{3} +(-15.7896 - 2.58641i) q^{4} +(23.2093 - 19.4749i) q^{5} +(4.11262 + 43.9272i) q^{6} +(10.4065 + 6.00818i) q^{7} +(15.4332 - 62.1113i) q^{8} +(38.2053 - 13.9056i) q^{9} +(70.1147 + 98.8485i) q^{10} +(192.168 - 110.948i) q^{11} +(-176.464 + 2.14764i) q^{12} +(-14.6509 + 83.0894i) q^{13} +(-27.3291 + 39.5399i) q^{14} +(214.805 - 255.995i) q^{15} +(242.621 + 81.6766i) q^{16} +(-205.158 - 74.6714i) q^{17} +(43.0465 + 156.828i) q^{18} +(20.4289 + 360.422i) q^{19} +(-416.835 + 247.472i) q^{20} +(124.545 + 45.3308i) q^{21} +(379.997 + 802.127i) q^{22} +(-249.894 + 297.812i) q^{23} +(48.6774 - 704.229i) q^{24} +(50.8690 - 288.493i) q^{25} +(-326.511 - 85.3623i) q^{26} +(-385.359 + 222.487i) q^{27} +(-148.774 - 121.782i) q^{28} +(737.002 - 268.247i) q^{29} +(950.930 + 939.427i) q^{30} +(493.671 + 285.021i) q^{31} +(-404.329 + 940.794i) q^{32} +(1874.87 - 1573.21i) q^{33} +(364.249 - 793.708i) q^{34} +(358.536 - 63.2195i) q^{35} +(-639.210 + 120.749i) q^{36} -2110.41 q^{37} +(-1443.56 - 35.4632i) q^{38} +930.601i q^{39} +(-851.418 - 1742.12i) q^{40} +(-347.497 - 1970.75i) q^{41} +(-221.125 + 481.837i) q^{42} +(-413.160 - 492.385i) q^{43} +(-3321.20 + 1254.80i) q^{44} +(615.907 - 1066.78i) q^{45} +(-1106.27 - 1092.89i) q^{46} +(-267.419 - 734.727i) q^{47} +(2791.85 + 422.499i) q^{48} +(-1128.30 - 1954.28i) q^{49} +(1133.67 + 296.384i) q^{50} +(-2371.50 - 418.159i) q^{51} +(446.235 - 1274.05i) q^{52} +(-850.686 - 713.810i) q^{53} +(-762.019 - 1608.53i) q^{54} +(2299.37 - 6317.47i) q^{55} +(533.781 - 553.634i) q^{56} +(912.223 + 3875.87i) q^{57} +(830.393 + 3025.31i) q^{58} +(-992.941 + 2728.08i) q^{59} +(-4053.78 + 3486.47i) q^{60} +(4618.07 + 3875.02i) q^{61} +(-1296.46 + 1875.73i) q^{62} +(481.129 + 84.8360i) q^{63} +(-3619.63 - 1917.16i) q^{64} +(1278.12 + 2213.77i) q^{65} +(5663.95 + 7985.10i) q^{66} +(1652.82 + 4541.08i) q^{67} +(3046.22 + 1709.65i) q^{68} +(-2144.01 + 3713.54i) q^{69} +(135.747 + 1449.93i) q^{70} +(2832.94 + 3376.17i) q^{71} +(-274.063 - 2587.59i) q^{72} +(-1315.52 - 7460.69i) q^{73} +(684.552 - 8413.83i) q^{74} -3231.11i q^{75} +(609.634 - 5743.74i) q^{76} +2666.38 q^{77} +(-3710.14 - 301.859i) q^{78} +(-9930.25 + 1750.97i) q^{79} +(7221.70 - 2829.36i) q^{80} +(-6282.50 + 5271.65i) q^{81} +(7969.78 - 746.158i) q^{82} +(-759.059 - 438.243i) q^{83} +(-1849.27 - 1037.88i) q^{84} +(-6215.79 + 2262.36i) q^{85} +(2097.07 - 1487.48i) q^{86} +(7491.74 - 4325.36i) q^{87} +(-3925.36 - 13648.1i) q^{88} +(-1270.45 + 7205.11i) q^{89} +(4053.29 + 2801.55i) q^{90} +(-651.681 + 776.643i) q^{91} +(4715.99 - 4056.00i) q^{92} +(5908.28 + 2150.44i) q^{93} +(3015.97 - 827.829i) q^{94} +(7493.32 + 7967.27i) q^{95} +(-2590.02 + 10993.6i) q^{96} +(-11326.8 - 4122.61i) q^{97} +(8157.36 - 3864.44i) q^{98} +(5799.02 - 6911.00i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} - 453q^{10} - 3q^{12} + 516q^{13} + 81q^{14} - 720q^{16} - 12q^{17} - 12q^{18} - 1182q^{20} - 930q^{21} - 54q^{22} - 2664q^{24} - 12q^{25} - 3099q^{26} - 4824q^{28} - 12q^{29} + 5814q^{30} + 7419q^{32} + 1542q^{33} + 6912q^{34} + 8547q^{36} - 24q^{37} - 1536q^{38} - 6942q^{40} + 6396q^{41} - 18855q^{42} - 1143q^{44} - 6q^{45} - 1488q^{46} + 6093q^{48} + 26748q^{49} + 8070q^{50} - 12591q^{52} + 2436q^{53} - 7365q^{54} - 14418q^{56} - 12q^{57} + 8268q^{58} + 34632q^{60} - 31068q^{61} + 27396q^{62} + 4575q^{64} + 3594q^{65} - 29556q^{66} - 22782q^{68} + 29370q^{69} - 71541q^{70} - 30174q^{72} - 6348q^{73} - 417q^{74} + 43194q^{76} - 50436q^{77} + 45537q^{78} + 30081q^{80} - 41994q^{81} + 72219q^{82} + 13779q^{84} - 59244q^{85} + 19200q^{86} - 22395q^{88} + 1860q^{89} + 45594q^{90} - 64140q^{92} + 59118q^{93} - 55590q^{94} - 98646q^{96} - 5556q^{97} - 52215q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.324370 + 3.98683i −0.0810924 + 0.996707i
\(3\) 10.8623 1.91531i 1.20692 0.212812i 0.466231 0.884663i \(-0.345611\pi\)
0.740687 + 0.671851i \(0.234500\pi\)
\(4\) −15.7896 2.58641i −0.986848 0.161651i
\(5\) 23.2093 19.4749i 0.928372 0.778996i −0.0471528 0.998888i \(-0.515015\pi\)
0.975524 + 0.219891i \(0.0705703\pi\)
\(6\) 4.11262 + 43.9272i 0.114239 + 1.22020i
\(7\) 10.4065 + 6.00818i 0.212377 + 0.122616i 0.602416 0.798183i \(-0.294205\pi\)
−0.390039 + 0.920798i \(0.627538\pi\)
\(8\) 15.4332 62.1113i 0.241144 0.970489i
\(9\) 38.2053 13.9056i 0.471670 0.171674i
\(10\) 70.1147 + 98.8485i 0.701147 + 0.988485i
\(11\) 192.168 110.948i 1.58816 0.916926i 0.594552 0.804057i \(-0.297330\pi\)
0.993610 0.112868i \(-0.0360037\pi\)
\(12\) −176.464 + 2.14764i −1.22545 + 0.0149141i
\(13\) −14.6509 + 83.0894i −0.0866918 + 0.491654i 0.910287 + 0.413978i \(0.135861\pi\)
−0.996979 + 0.0776756i \(0.975250\pi\)
\(14\) −27.3291 + 39.5399i −0.139434 + 0.201734i
\(15\) 214.805 255.995i 0.954689 1.13775i
\(16\) 242.621 + 81.6766i 0.947738 + 0.319049i
\(17\) −205.158 74.6714i −0.709889 0.258378i −0.0382618 0.999268i \(-0.512182\pi\)
−0.671627 + 0.740889i \(0.734404\pi\)
\(18\) 43.0465 + 156.828i 0.132860 + 0.484038i
\(19\) 20.4289 + 360.422i 0.0565898 + 0.998398i
\(20\) −416.835 + 247.472i −1.04209 + 0.618679i
\(21\) 124.545 + 45.3308i 0.282416 + 0.102791i
\(22\) 379.997 + 802.127i 0.785118 + 1.65729i
\(23\) −249.894 + 297.812i −0.472390 + 0.562972i −0.948648 0.316333i \(-0.897548\pi\)
0.476258 + 0.879305i \(0.341993\pi\)
\(24\) 48.6774 704.229i 0.0845094 1.22262i
\(25\) 50.8690 288.493i 0.0813904 0.461588i
\(26\) −326.511 85.3623i −0.483004 0.126276i
\(27\) −385.359 + 222.487i −0.528613 + 0.305195i
\(28\) −148.774 121.782i −0.189763 0.155334i
\(29\) 737.002 268.247i 0.876340 0.318962i 0.135608 0.990763i \(-0.456701\pi\)
0.740732 + 0.671801i \(0.234479\pi\)
\(30\) 950.930 + 939.427i 1.05659 + 1.04381i
\(31\) 493.671 + 285.021i 0.513705 + 0.296588i 0.734355 0.678765i \(-0.237485\pi\)
−0.220650 + 0.975353i \(0.570818\pi\)
\(32\) −404.329 + 940.794i −0.394853 + 0.918744i
\(33\) 1874.87 1573.21i 1.72165 1.44463i
\(34\) 364.249 793.708i 0.315094 0.686598i
\(35\) 358.536 63.2195i 0.292682 0.0516077i
\(36\) −639.210 + 120.749i −0.493218 + 0.0931702i
\(37\) −2110.41 −1.54157 −0.770784 0.637096i \(-0.780135\pi\)
−0.770784 + 0.637096i \(0.780135\pi\)
\(38\) −1443.56 35.4632i −0.999698 0.0245590i
\(39\) 930.601i 0.611835i
\(40\) −851.418 1742.12i −0.532136 1.08883i
\(41\) −347.497 1970.75i −0.206721 1.17237i −0.894709 0.446649i \(-0.852617\pi\)
0.687989 0.725721i \(-0.258494\pi\)
\(42\) −221.125 + 481.837i −0.125354 + 0.273150i
\(43\) −413.160 492.385i −0.223450 0.266298i 0.642659 0.766152i \(-0.277831\pi\)
−0.866109 + 0.499855i \(0.833387\pi\)
\(44\) −3321.20 + 1254.80i −1.71550 + 0.648139i
\(45\) 615.907 1066.78i 0.304152 0.526806i
\(46\) −1106.27 1092.89i −0.522811 0.516487i
\(47\) −267.419 734.727i −0.121059 0.332606i 0.864330 0.502924i \(-0.167743\pi\)
−0.985389 + 0.170318i \(0.945520\pi\)
\(48\) 2791.85 + 422.499i 1.21174 + 0.183376i
\(49\) −1128.30 1954.28i −0.469931 0.813944i
\(50\) 1133.67 + 296.384i 0.453468 + 0.118554i
\(51\) −2371.50 418.159i −0.911764 0.160769i
\(52\) 446.235 1274.05i 0.165028 0.471174i
\(53\) −850.686 713.810i −0.302843 0.254115i 0.478683 0.877988i \(-0.341114\pi\)
−0.781526 + 0.623872i \(0.785559\pi\)
\(54\) −762.019 1608.53i −0.261323 0.551621i
\(55\) 2299.37 6317.47i 0.760122 2.08842i
\(56\) 533.781 553.634i 0.170211 0.176541i
\(57\) 912.223 + 3875.87i 0.280771 + 1.19294i
\(58\) 830.393 + 3025.31i 0.246847 + 0.899320i
\(59\) −992.941 + 2728.08i −0.285246 + 0.783707i 0.711469 + 0.702717i \(0.248030\pi\)
−0.996715 + 0.0809893i \(0.974192\pi\)
\(60\) −4053.78 + 3486.47i −1.12605 + 0.968464i
\(61\) 4618.07 + 3875.02i 1.24108 + 1.04139i 0.997439 + 0.0715276i \(0.0227874\pi\)
0.243644 + 0.969865i \(0.421657\pi\)
\(62\) −1296.46 + 1875.73i −0.337269 + 0.487962i
\(63\) 481.129 + 84.8360i 0.121222 + 0.0213747i
\(64\) −3619.63 1917.16i −0.883699 0.468056i
\(65\) 1278.12 + 2213.77i 0.302514 + 0.523970i
\(66\) 5663.95 + 7985.10i 1.30026 + 1.83313i
\(67\) 1652.82 + 4541.08i 0.368193 + 1.01160i 0.976048 + 0.217554i \(0.0698077\pi\)
−0.607856 + 0.794048i \(0.707970\pi\)
\(68\) 3046.22 + 1709.65i 0.658785 + 0.369734i
\(69\) −2144.01 + 3713.54i −0.450328 + 0.779992i
\(70\) 135.747 + 1449.93i 0.0277035 + 0.295903i
\(71\) 2832.94 + 3376.17i 0.561980 + 0.669741i 0.969964 0.243248i \(-0.0782127\pi\)
−0.407985 + 0.912989i \(0.633768\pi\)
\(72\) −274.063 2587.59i −0.0528671 0.499149i
\(73\) −1315.52 7460.69i −0.246861 1.40002i −0.816131 0.577866i \(-0.803885\pi\)
0.569271 0.822150i \(-0.307226\pi\)
\(74\) 684.552 8413.83i 0.125010 1.53649i
\(75\) 3231.11i 0.574420i
\(76\) 609.634 5743.74i 0.105546 0.994414i
\(77\) 2666.38 0.449719
\(78\) −3710.14 301.859i −0.609820 0.0496152i
\(79\) −9930.25 + 1750.97i −1.59113 + 0.280559i −0.897915 0.440170i \(-0.854918\pi\)
−0.693217 + 0.720729i \(0.743807\pi\)
\(80\) 7221.70 2829.36i 1.12839 0.442088i
\(81\) −6282.50 + 5271.65i −0.957553 + 0.803482i
\(82\) 7969.78 746.158i 1.18527 0.110969i
\(83\) −759.059 438.243i −0.110184 0.0636148i 0.443895 0.896079i \(-0.353596\pi\)
−0.554079 + 0.832464i \(0.686930\pi\)
\(84\) −1849.27 1037.88i −0.262085 0.147092i
\(85\) −6215.79 + 2262.36i −0.860316 + 0.313130i
\(86\) 2097.07 1487.48i 0.283541 0.201120i
\(87\) 7491.74 4325.36i 0.989792 0.571457i
\(88\) −3925.36 13648.1i −0.506890 1.76241i
\(89\) −1270.45 + 7205.11i −0.160391 + 0.909621i 0.793300 + 0.608831i \(0.208361\pi\)
−0.953690 + 0.300790i \(0.902750\pi\)
\(90\) 4053.29 + 2801.55i 0.500407 + 0.345870i
\(91\) −651.681 + 776.643i −0.0786959 + 0.0937861i
\(92\) 4715.99 4056.00i 0.557182 0.479206i
\(93\) 5908.28 + 2150.44i 0.683118 + 0.248634i
\(94\) 3015.97 827.829i 0.341328 0.0936882i
\(95\) 7493.32 + 7967.27i 0.830284 + 0.882801i
\(96\) −2590.02 + 10993.6i −0.281035 + 1.19288i
\(97\) −11326.8 4122.61i −1.20382 0.438156i −0.339266 0.940690i \(-0.610179\pi\)
−0.864557 + 0.502535i \(0.832401\pi\)
\(98\) 8157.36 3864.44i 0.849371 0.402378i
\(99\) 5799.02 6911.00i 0.591676 0.705132i
\(100\) −1549.36 + 4423.60i −0.154936 + 0.442360i
\(101\) −2286.86 + 12969.4i −0.224180 + 1.27139i 0.640067 + 0.768319i \(0.278907\pi\)
−0.864247 + 0.503068i \(0.832205\pi\)
\(102\) 2436.37 9319.11i 0.234176 0.895724i
\(103\) 1022.94 590.595i 0.0964219 0.0556692i −0.451014 0.892517i \(-0.648937\pi\)
0.547436 + 0.836848i \(0.315604\pi\)
\(104\) 4934.68 + 2192.33i 0.456239 + 0.202693i
\(105\) 3773.42 1373.41i 0.342261 0.124573i
\(106\) 3121.77 3160.00i 0.277837 0.281239i
\(107\) −4701.25 2714.27i −0.410626 0.237075i 0.280433 0.959874i \(-0.409522\pi\)
−0.691059 + 0.722799i \(0.742855\pi\)
\(108\) 6660.10 2516.28i 0.570996 0.215730i
\(109\) −10594.0 + 8889.40i −0.891673 + 0.748203i −0.968545 0.248838i \(-0.919951\pi\)
0.0768717 + 0.997041i \(0.475507\pi\)
\(110\) 24440.8 + 11216.4i 2.01990 + 0.926974i
\(111\) −22923.8 + 4042.09i −1.86055 + 0.328065i
\(112\) 2034.10 + 2307.68i 0.162157 + 0.183966i
\(113\) 14765.0 1.15631 0.578157 0.815926i \(-0.303772\pi\)
0.578157 + 0.815926i \(0.303772\pi\)
\(114\) −15748.3 + 2379.66i −1.21178 + 0.183107i
\(115\) 11778.7i 0.890637i
\(116\) −12330.7 + 2329.31i −0.916375 + 0.173106i
\(117\) 595.665 + 3378.18i 0.0435141 + 0.246781i
\(118\) −10554.3 4843.59i −0.757994 0.347859i
\(119\) −1686.33 2009.69i −0.119083 0.141917i
\(120\) −12585.0 17292.6i −0.873960 1.20088i
\(121\) 17298.4 29961.7i 1.18150 2.04643i
\(122\) −16947.0 + 17154.5i −1.13860 + 1.15255i
\(123\) −7549.21 20741.3i −0.498990 1.37096i
\(124\) −7057.66 5777.19i −0.459005 0.375728i
\(125\) 5030.26 + 8712.67i 0.321937 + 0.557611i
\(126\) −494.290 + 1890.66i −0.0311344 + 0.119089i
\(127\) 7556.43 + 1332.40i 0.468500 + 0.0826091i 0.402914 0.915238i \(-0.367997\pi\)
0.0655856 + 0.997847i \(0.479108\pi\)
\(128\) 8817.47 13809.0i 0.538176 0.842833i
\(129\) −5430.92 4557.08i −0.326358 0.273847i
\(130\) −9240.51 + 4377.57i −0.546776 + 0.259028i
\(131\) 9717.00 26697.2i 0.566226 1.55569i −0.244123 0.969744i \(-0.578500\pi\)
0.810349 0.585948i \(-0.199278\pi\)
\(132\) −33672.4 + 19991.1i −1.93253 + 1.14733i
\(133\) −1952.88 + 3873.46i −0.110401 + 0.218975i
\(134\) −18640.6 + 5116.51i −1.03813 + 0.284947i
\(135\) −4610.99 + 12668.6i −0.253004 + 0.695122i
\(136\) −7804.19 + 11590.2i −0.421939 + 0.626633i
\(137\) −9795.09 8219.05i −0.521876 0.437906i 0.343409 0.939186i \(-0.388418\pi\)
−0.865285 + 0.501280i \(0.832863\pi\)
\(138\) −14109.8 9752.37i −0.740905 0.512097i
\(139\) −2225.66 392.444i −0.115194 0.0203118i 0.115754 0.993278i \(-0.463072\pi\)
−0.230948 + 0.972966i \(0.574183\pi\)
\(140\) −5824.63 + 70.8880i −0.297175 + 0.00361674i
\(141\) −4312.00 7468.61i −0.216891 0.375666i
\(142\) −14379.1 + 10199.3i −0.713108 + 0.505818i
\(143\) 6403.18 + 17592.6i 0.313129 + 0.860315i
\(144\) 10405.2 253.307i 0.501792 0.0122158i
\(145\) 11881.2 20578.9i 0.565099 0.978781i
\(146\) 30171.2 2824.73i 1.41542 0.132517i
\(147\) −15999.0 19066.8i −0.740385 0.882357i
\(148\) 33322.4 + 5458.38i 1.52129 + 0.249196i
\(149\) 1947.37 + 11044.1i 0.0877154 + 0.497459i 0.996738 + 0.0807110i \(0.0257191\pi\)
−0.909022 + 0.416748i \(0.863170\pi\)
\(150\) 12881.9 + 1048.07i 0.572528 + 0.0465811i
\(151\) 42135.6i 1.84797i 0.382427 + 0.923986i \(0.375088\pi\)
−0.382427 + 0.923986i \(0.624912\pi\)
\(152\) 22701.5 + 4293.60i 0.982580 + 0.185838i
\(153\) −8876.46 −0.379190
\(154\) −864.893 + 10630.4i −0.0364688 + 0.448237i
\(155\) 17008.5 2999.06i 0.707950 0.124831i
\(156\) 2406.92 14693.8i 0.0989035 0.603788i
\(157\) 2211.85 1855.97i 0.0897340 0.0752958i −0.596817 0.802377i \(-0.703568\pi\)
0.686551 + 0.727081i \(0.259124\pi\)
\(158\) −3759.74 40158.1i −0.150607 1.60864i
\(159\) −10607.5 6124.27i −0.419586 0.242248i
\(160\) 8937.68 + 29709.4i 0.349128 + 1.16053i
\(161\) −4389.83 + 1597.77i −0.169354 + 0.0616398i
\(162\) −18979.3 26757.2i −0.723186 1.01956i
\(163\) 13088.8 7556.81i 0.492633 0.284422i −0.233033 0.972469i \(-0.574865\pi\)
0.725666 + 0.688047i \(0.241532\pi\)
\(164\) 389.649 + 32016.1i 0.0144872 + 1.19037i
\(165\) 12876.5 73026.0i 0.472964 2.68231i
\(166\) 1993.41 2884.08i 0.0723404 0.104663i
\(167\) −5365.71 + 6394.60i −0.192395 + 0.229288i −0.853615 0.520905i \(-0.825595\pi\)
0.661220 + 0.750192i \(0.270039\pi\)
\(168\) 4737.69 7036.08i 0.167860 0.249294i
\(169\) 20149.4 + 7333.77i 0.705485 + 0.256776i
\(170\) −7003.43 25515.1i −0.242333 0.882876i
\(171\) 5792.36 + 13485.9i 0.198090 + 0.461199i
\(172\) 5250.10 + 8843.14i 0.177464 + 0.298916i
\(173\) −11672.8 4248.55i −0.390017 0.141954i 0.139566 0.990213i \(-0.455429\pi\)
−0.529583 + 0.848258i \(0.677651\pi\)
\(174\) 14814.4 + 31271.3i 0.489310 + 1.03287i
\(175\) 2262.68 2696.56i 0.0738835 0.0880509i
\(176\) 55685.7 11222.7i 1.79771 0.362303i
\(177\) −5560.46 + 31534.9i −0.177486 + 1.00657i
\(178\) −28313.4 7402.20i −0.893619 0.233626i
\(179\) 25213.1 14556.8i 0.786902 0.454318i −0.0519690 0.998649i \(-0.516550\pi\)
0.838871 + 0.544331i \(0.183216\pi\)
\(180\) −12484.0 + 15251.0i −0.385310 + 0.470711i
\(181\) 35107.7 12778.1i 1.07163 0.390041i 0.254844 0.966982i \(-0.417976\pi\)
0.816786 + 0.576941i \(0.195754\pi\)
\(182\) −2884.95 2850.06i −0.0870956 0.0860420i
\(183\) 57584.6 + 33246.5i 1.71951 + 0.992758i
\(184\) 14640.8 + 20117.5i 0.432444 + 0.594207i
\(185\) −48981.1 + 41100.0i −1.43115 + 1.20088i
\(186\) −10489.9 + 22857.8i −0.303211 + 0.660705i
\(187\) −47709.3 + 8412.44i −1.36433 + 0.240569i
\(188\) 2322.12 + 12292.7i 0.0657005 + 0.347801i
\(189\) −5346.97 −0.149687
\(190\) −34194.7 + 27290.2i −0.947223 + 0.755961i
\(191\) 3542.43i 0.0971033i 0.998821 + 0.0485516i \(0.0154605\pi\)
−0.998821 + 0.0485516i \(0.984539\pi\)
\(192\) −42989.3 13891.9i −1.16616 0.376843i
\(193\) −7412.09 42036.0i −0.198988 1.12851i −0.906625 0.421938i \(-0.861350\pi\)
0.707637 0.706576i \(-0.249761\pi\)
\(194\) 20110.2 43820.6i 0.534334 1.16433i
\(195\) 18123.4 + 21598.6i 0.476617 + 0.568010i
\(196\) 12760.9 + 33775.5i 0.332176 + 0.879203i
\(197\) 18716.5 32417.9i 0.482272 0.835320i −0.517521 0.855671i \(-0.673145\pi\)
0.999793 + 0.0203510i \(0.00647838\pi\)
\(198\) 25671.9 + 25361.4i 0.654829 + 0.646908i
\(199\) −15573.5 42787.8i −0.393260 1.08047i −0.965504 0.260389i \(-0.916149\pi\)
0.572244 0.820083i \(-0.306073\pi\)
\(200\) −17133.6 7611.91i −0.428339 0.190298i
\(201\) 26650.9 + 46160.7i 0.659660 + 1.14256i
\(202\) −50965.0 13324.2i −1.24902 0.326541i
\(203\) 9281.27 + 1636.54i 0.225224 + 0.0397131i
\(204\) 36363.4 + 12736.2i 0.873784 + 0.306041i
\(205\) −46445.4 38972.3i −1.10519 0.927361i
\(206\) 2022.79 + 4269.85i 0.0476668 + 0.100619i
\(207\) −5406.02 + 14852.9i −0.126164 + 0.346634i
\(208\) −10341.1 + 18962.6i −0.239023 + 0.438300i
\(209\) 43913.8 + 66994.8i 1.00533 + 1.53373i
\(210\) 4251.58 + 15489.5i 0.0964076 + 0.351235i
\(211\) 18667.1 51287.3i 0.419287 1.15198i −0.532824 0.846226i \(-0.678869\pi\)
0.952110 0.305754i \(-0.0989086\pi\)
\(212\) 11585.8 + 13471.0i 0.257782 + 0.299728i
\(213\) 37238.5 + 31246.8i 0.820793 + 0.688727i
\(214\) 12346.3 17862.7i 0.269593 0.390048i
\(215\) −19178.3 3381.65i −0.414890 0.0731563i
\(216\) 7871.64 + 27368.9i 0.168716 + 0.586610i
\(217\) 3424.91 + 5932.12i 0.0727328 + 0.125977i
\(218\) −32004.1 45119.8i −0.673431 0.949410i
\(219\) −28579.1 78520.3i −0.595881 1.63717i
\(220\) −52645.6 + 93803.0i −1.08772 + 1.93808i
\(221\) 9210.15 15952.5i 0.188574 0.326620i
\(222\) −8679.30 92704.4i −0.176108 1.88102i
\(223\) 48515.7 + 57818.8i 0.975603 + 1.16268i 0.986669 + 0.162739i \(0.0520329\pi\)
−0.0110665 + 0.999939i \(0.503523\pi\)
\(224\) −9860.10 + 7361.06i −0.196510 + 0.146705i
\(225\) −2068.19 11729.3i −0.0408532 0.231690i
\(226\) −4789.31 + 58865.4i −0.0937683 + 1.15251i
\(227\) 43948.7i 0.852892i −0.904513 0.426446i \(-0.859765\pi\)
0.904513 0.426446i \(-0.140235\pi\)
\(228\) −4379.03 63557.6i −0.0842380 1.22264i
\(229\) 54390.3 1.03717 0.518586 0.855025i \(-0.326459\pi\)
0.518586 + 0.855025i \(0.326459\pi\)
\(230\) −46959.5 3820.65i −0.887704 0.0722239i
\(231\) 28962.9 5106.95i 0.542774 0.0957056i
\(232\) −5286.84 49916.1i −0.0982246 0.927395i
\(233\) −44455.1 + 37302.3i −0.818860 + 0.687106i −0.952705 0.303897i \(-0.901712\pi\)
0.133844 + 0.991002i \(0.457268\pi\)
\(234\) −13661.4 + 1279.03i −0.249497 + 0.0233588i
\(235\) −20515.3 11844.5i −0.371486 0.214478i
\(236\) 22734.1 40507.1i 0.408181 0.727289i
\(237\) −104511. + 38039.0i −1.86066 + 0.677224i
\(238\) 8559.28 6071.23i 0.151107 0.107182i
\(239\) −47985.9 + 27704.6i −0.840074 + 0.485017i −0.857289 0.514835i \(-0.827853\pi\)
0.0172155 + 0.999852i \(0.494520\pi\)
\(240\) 73024.9 44565.1i 1.26779 0.773700i
\(241\) 7172.75 40678.7i 0.123496 0.700379i −0.858694 0.512488i \(-0.828724\pi\)
0.982190 0.187891i \(-0.0601651\pi\)
\(242\) 113841. + 78684.4i 1.94388 + 1.34356i
\(243\) −34977.4 + 41684.5i −0.592346 + 0.705930i
\(244\) −62894.9 73129.1i −1.05642 1.22832i
\(245\) −64246.5 23383.8i −1.07033 0.389568i
\(246\) 85140.7 23369.6i 1.40691 0.386172i
\(247\) −30246.5 3583.07i −0.495772 0.0587303i
\(248\) 25322.0 26263.7i 0.411712 0.427025i
\(249\) −9084.46 3306.47i −0.146521 0.0533294i
\(250\) −36367.6 + 17228.7i −0.581881 + 0.275658i
\(251\) −24631.4 + 29354.6i −0.390969 + 0.465938i −0.925244 0.379372i \(-0.876140\pi\)
0.534275 + 0.845310i \(0.320585\pi\)
\(252\) −7377.40 2583.92i −0.116172 0.0406891i
\(253\) −14979.9 + 84955.1i −0.234028 + 1.32724i
\(254\) −7763.14 + 29694.0i −0.120329 + 0.460258i
\(255\) −63184.4 + 36479.5i −0.971694 + 0.561008i
\(256\) 52193.9 + 39632.9i 0.796415 + 0.604751i
\(257\) 26721.3 9725.75i 0.404568 0.147251i −0.131718 0.991287i \(-0.542049\pi\)
0.536285 + 0.844037i \(0.319827\pi\)
\(258\) 19929.9 20174.0i 0.299410 0.303076i
\(259\) −21961.9 12679.7i −0.327394 0.189021i
\(260\) −14455.3 38260.3i −0.213835 0.565980i
\(261\) 24427.2 20496.9i 0.358586 0.300889i
\(262\) 103285. + 47399.7i 1.50465 + 0.690516i
\(263\) 111736. 19702.0i 1.61540 0.284839i 0.708352 0.705859i \(-0.249439\pi\)
0.907052 + 0.421020i \(0.138328\pi\)
\(264\) −68778.6 140731.i −0.986837 2.01921i
\(265\) −33645.2 −0.479106
\(266\) −14809.3 9042.24i −0.209302 0.127795i
\(267\) 80697.1i 1.13197i
\(268\) −14352.2 75976.5i −0.199824 1.05782i
\(269\) 8917.39 + 50573.0i 0.123235 + 0.698899i 0.982341 + 0.187101i \(0.0599092\pi\)
−0.859106 + 0.511798i \(0.828980\pi\)
\(270\) −49011.9 22492.5i −0.672316 0.308540i
\(271\) −54650.8 65130.2i −0.744145 0.886838i 0.252590 0.967573i \(-0.418717\pi\)
−0.996736 + 0.0807357i \(0.974273\pi\)
\(272\) −43676.7 34873.4i −0.590353 0.471365i
\(273\) −5591.21 + 9684.27i −0.0750207 + 0.129940i
\(274\) 35945.2 36385.3i 0.478784 0.484646i
\(275\) −22232.3 61082.7i −0.293981 0.807705i
\(276\) 43457.8 53089.9i 0.570492 0.696937i
\(277\) −57835.5 100174.i −0.753763 1.30556i −0.945987 0.324204i \(-0.894903\pi\)
0.192224 0.981351i \(-0.438430\pi\)
\(278\) 2286.54 8746.02i 0.0295862 0.113167i
\(279\) 22824.2 + 4024.52i 0.293216 + 0.0517018i
\(280\) 1606.72 23244.8i 0.0204938 0.296490i
\(281\) 24640.7 + 20676.0i 0.312062 + 0.261851i 0.785343 0.619060i \(-0.212486\pi\)
−0.473282 + 0.880911i \(0.656931\pi\)
\(282\) 31174.7 14768.6i 0.392017 0.185713i
\(283\) −9120.44 + 25058.2i −0.113879 + 0.312880i −0.983519 0.180807i \(-0.942129\pi\)
0.869640 + 0.493687i \(0.164351\pi\)
\(284\) −35998.7 60635.3i −0.446324 0.751777i
\(285\) 96654.2 + 72190.6i 1.18996 + 0.888773i
\(286\) −72215.6 + 19821.9i −0.882874 + 0.242333i
\(287\) 8224.43 22596.4i 0.0998486 0.274332i
\(288\) −2365.23 + 41565.7i −0.0285159 + 0.501130i
\(289\) −27466.8 23047.4i −0.328862 0.275948i
\(290\) 78190.5 + 54043.5i 0.929732 + 0.642610i
\(291\) −130930. 23086.6i −1.54616 0.272630i
\(292\) 1475.09 + 121204.i 0.0173003 + 1.42151i
\(293\) −10590.2 18342.7i −0.123358 0.213663i 0.797732 0.603012i \(-0.206033\pi\)
−0.921090 + 0.389350i \(0.872700\pi\)
\(294\) 81205.8 57600.5i 0.939490 0.666394i
\(295\) 30083.7 + 82654.3i 0.345690 + 0.949777i
\(296\) −32570.4 + 131080.i −0.371740 + 1.49608i
\(297\) −49369.0 + 85509.6i −0.559682 + 0.969398i
\(298\) −44662.5 + 4181.46i −0.502934 + 0.0470864i
\(299\) −21083.9 25126.8i −0.235835 0.281057i
\(300\) −8356.98 + 51017.9i −0.0928554 + 0.566865i
\(301\) −1341.20 7606.32i −0.0148034 0.0839541i
\(302\) −167987. 13667.5i −1.84189 0.149856i
\(303\) 145257.i 1.58217i
\(304\) −24481.5 + 89114.4i −0.264906 + 0.964274i
\(305\) 182648. 1.96343
\(306\) 2879.25 35388.9i 0.0307494 0.377941i
\(307\) 147821. 26064.8i 1.56841 0.276552i 0.679163 0.733988i \(-0.262343\pi\)
0.889243 + 0.457435i \(0.151232\pi\)
\(308\) −42101.0 6896.36i −0.443804 0.0726973i
\(309\) 9980.27 8374.44i 0.104526 0.0877079i
\(310\) 6439.68 + 68782.7i 0.0670102 + 0.715741i
\(311\) −6486.24 3744.83i −0.0670614 0.0387179i 0.466094 0.884735i \(-0.345661\pi\)
−0.533156 + 0.846017i \(0.678994\pi\)
\(312\) 57800.8 + 14362.2i 0.593779 + 0.147540i
\(313\) −137829. + 50165.5i −1.40686 + 0.512055i −0.930207 0.367036i \(-0.880373\pi\)
−0.476653 + 0.879091i \(0.658150\pi\)
\(314\) 6681.96 + 9420.30i 0.0677711 + 0.0955444i
\(315\) 12818.8 7400.96i 0.129190 0.0745877i
\(316\) 161323. 1963.36i 1.61556 0.0196620i
\(317\) −11038.5 + 62602.7i −0.109848 + 0.622980i 0.879324 + 0.476223i \(0.157995\pi\)
−0.989173 + 0.146757i \(0.953116\pi\)
\(318\) 27857.2 40303.9i 0.275475 0.398559i
\(319\) 111866. 133317.i 1.09931 1.31010i
\(320\) −121345. + 25996.1i −1.18501 + 0.253868i
\(321\) −56264.9 20478.8i −0.546044 0.198744i
\(322\) −4946.09 18019.7i −0.0477035 0.173795i
\(323\) 22722.0 75468.8i 0.217792 0.723373i
\(324\) 112833. 66987.9i 1.07484 0.638126i
\(325\) 23225.4 + 8453.36i 0.219885 + 0.0800318i
\(326\) 25882.1 + 54633.9i 0.243536 + 0.514075i
\(327\) −98048.6 + 116850.i −0.916950 + 1.09278i
\(328\) −127769. 8831.61i −1.18762 0.0820903i
\(329\) 1631.49 9252.61i 0.0150727 0.0854816i
\(330\) 286965. + 75023.6i 2.63513 + 0.688922i
\(331\) −43434.3 + 25076.8i −0.396439 + 0.228884i −0.684946 0.728593i \(-0.740174\pi\)
0.288507 + 0.957478i \(0.406841\pi\)
\(332\) 10851.7 + 8882.90i 0.0984516 + 0.0805895i
\(333\) −80628.7 + 29346.4i −0.727112 + 0.264647i
\(334\) −23753.7 23466.4i −0.212931 0.210355i
\(335\) 126798. + 73206.7i 1.12985 + 0.652321i
\(336\) 26514.8 + 21170.7i 0.234861 + 0.187523i
\(337\) 150613. 126379.i 1.32618 1.11279i 0.341221 0.939983i \(-0.389159\pi\)
0.984955 0.172811i \(-0.0552850\pi\)
\(338\) −35774.3 + 77953.1i −0.313139 + 0.682339i
\(339\) 160381. 28279.5i 1.39558 0.246078i
\(340\) 103996. 19645.1i 0.899619 0.169941i
\(341\) 126490. 1.08780
\(342\) −55644.9 + 18718.7i −0.475744 + 0.160038i
\(343\) 55967.5i 0.475716i
\(344\) −36959.0 + 18062.8i −0.312323 + 0.152640i
\(345\) 22559.8 + 127943.i 0.189538 + 1.07493i
\(346\) 20724.5 45159.3i 0.173114 0.377221i
\(347\) −133192. 158732.i −1.10616 1.31827i −0.943418 0.331606i \(-0.892410\pi\)
−0.162745 0.986668i \(-0.552035\pi\)
\(348\) −129478. + 48918.8i −1.06915 + 0.403940i
\(349\) 86778.8 150305.i 0.712464 1.23402i −0.251466 0.967866i \(-0.580913\pi\)
0.963930 0.266157i \(-0.0857541\pi\)
\(350\) 10016.8 + 9895.60i 0.0817695 + 0.0807804i
\(351\) −12840.5 35278.9i −0.104224 0.286353i
\(352\) 26680.2 + 225650.i 0.215330 + 1.82117i
\(353\) −13987.8 24227.6i −0.112253 0.194429i 0.804425 0.594054i \(-0.202474\pi\)
−0.916679 + 0.399625i \(0.869140\pi\)
\(354\) −123921. 32397.6i −0.988866 0.258527i
\(355\) 131501. + 23187.2i 1.04345 + 0.183989i
\(356\) 38695.3 110480.i 0.305322 0.871730i
\(357\) −22166.6 18599.9i −0.173925 0.145940i
\(358\) 49857.1 + 105242.i 0.389010 + 0.821152i
\(359\) −49943.1 + 137218.i −0.387513 + 1.06468i 0.580604 + 0.814186i \(0.302817\pi\)
−0.968117 + 0.250498i \(0.919406\pi\)
\(360\) −56753.8 54718.7i −0.437915 0.422212i
\(361\) −129486. + 14726.1i −0.993595 + 0.112998i
\(362\) 39556.4 + 144113.i 0.301856 + 1.09973i
\(363\) 130514. 358584.i 0.990475 2.72131i
\(364\) 12298.5 10577.3i 0.0928215 0.0798314i
\(365\) −175828. 147538.i −1.31979 1.10743i
\(366\) −151227. + 218795.i −1.12893 + 1.63334i
\(367\) 148320. + 26152.8i 1.10120 + 0.194172i 0.694574 0.719422i \(-0.255593\pi\)
0.406629 + 0.913593i \(0.366704\pi\)
\(368\) −84953.9 + 51845.0i −0.627318 + 0.382834i
\(369\) −40680.7 70461.1i −0.298769 0.517483i
\(370\) −147971. 208611.i −1.08087 1.52382i
\(371\) −4563.94 12539.3i −0.0331583 0.0911016i
\(372\) −87727.3 49235.8i −0.633941 0.355791i
\(373\) 76145.4 131888.i 0.547300 0.947952i −0.451158 0.892444i \(-0.648989\pi\)
0.998458 0.0555080i \(-0.0176778\pi\)
\(374\) −18063.5 192938.i −0.129139 1.37935i
\(375\) 71327.5 + 85004.8i 0.507218 + 0.604478i
\(376\) −49762.0 + 5270.52i −0.351983 + 0.0372801i
\(377\) 11490.7 + 65167.2i 0.0808472 + 0.458507i
\(378\) 1734.40 21317.4i 0.0121385 0.149194i
\(379\) 135507.i 0.943373i 0.881766 + 0.471686i \(0.156355\pi\)
−0.881766 + 0.471686i \(0.843645\pi\)
\(380\) −97709.6 145181.i −0.676659 1.00541i
\(381\) 84631.9 0.583021
\(382\) −14123.0 1149.06i −0.0967835 0.00787434i
\(383\) −205206. + 36183.4i −1.39892 + 0.246667i −0.821700 0.569921i \(-0.806974\pi\)
−0.577221 + 0.816588i \(0.695863\pi\)
\(384\) 69329.2 166885.i 0.470169 1.13176i
\(385\) 61884.8 51927.5i 0.417506 0.350329i
\(386\) 169995. 15915.5i 1.14093 0.106818i
\(387\) −22631.8 13066.5i −0.151111 0.0872441i
\(388\) 168182. + 94389.9i 1.11716 + 0.626992i
\(389\) 120723. 43939.6i 0.797794 0.290373i 0.0892218 0.996012i \(-0.471562\pi\)
0.708572 + 0.705639i \(0.249340\pi\)
\(390\) −91988.4 + 65248.8i −0.604789 + 0.428986i
\(391\) 73505.8 42438.6i 0.480804 0.277592i
\(392\) −138796. + 39919.6i −0.903245 + 0.259785i
\(393\) 54415.1 308603.i 0.352318 1.99809i
\(394\) 123174. + 85134.8i 0.793460 + 0.548422i
\(395\) −196374. + 234029.i −1.25861 + 1.49995i
\(396\) −109439. + 94123.0i −0.697879 + 0.600213i
\(397\) −74378.3 27071.5i −0.471917 0.171764i 0.0951038 0.995467i \(-0.469682\pi\)
−0.567020 + 0.823704i \(0.691904\pi\)
\(398\) 175639. 48209.7i 1.10880 0.304346i
\(399\) −13793.9 + 45814.9i −0.0866444 + 0.287780i
\(400\) 35905.0 65839.5i 0.224406 0.411497i
\(401\) −91277.7 33222.4i −0.567644 0.206606i 0.0422245 0.999108i \(-0.486556\pi\)
−0.609869 + 0.792503i \(0.708778\pi\)
\(402\) −192680. + 91279.4i −1.19229 + 0.564834i
\(403\) −30914.9 + 36843.0i −0.190352 + 0.226853i
\(404\) 69652.8 198867.i 0.426752 1.21843i
\(405\) −43147.6 + 244702.i −0.263055 + 1.49186i
\(406\) −9535.16 + 36472.0i −0.0578463 + 0.221262i
\(407\) −405552. + 234145.i −2.44826 + 1.41350i
\(408\) −62572.3 + 140843.i −0.375891 + 0.846089i
\(409\) 228807. 83279.1i 1.36780 0.497840i 0.449345 0.893358i \(-0.351657\pi\)
0.918458 + 0.395519i \(0.129435\pi\)
\(410\) 170441. 172528.i 1.01393 1.02634i
\(411\) −122139. 70516.9i −0.723053 0.417455i
\(412\) −17679.3 + 6679.49i −0.104153 + 0.0393504i
\(413\) −26723.8 + 22424.0i −0.156675 + 0.131466i
\(414\) −57462.5 26370.7i −0.335261 0.153858i
\(415\) −26151.9 + 4611.29i −0.151848 + 0.0267748i
\(416\) −72246.3 47379.0i −0.417473 0.273778i
\(417\) −24927.4 −0.143352
\(418\) −281341. + 153346.i −1.61020 + 0.877645i
\(419\) 77765.1i 0.442952i 0.975166 + 0.221476i \(0.0710875\pi\)
−0.975166 + 0.221476i \(0.928913\pi\)
\(420\) −63132.9 + 11926.0i −0.357896 + 0.0676076i
\(421\) −27107.5 153734.i −0.152941 0.867373i −0.960644 0.277783i \(-0.910400\pi\)
0.807702 0.589590i \(-0.200711\pi\)
\(422\) 198419. + 91058.4i 1.11419 + 0.511323i
\(423\) −20433.6 24351.8i −0.114199 0.136098i
\(424\) −57464.5 + 41820.8i −0.319645 + 0.232627i
\(425\) −31978.3 + 55388.1i −0.177043 + 0.306647i
\(426\) −136655. + 138328.i −0.753019 + 0.762239i
\(427\) 24776.0 + 68071.5i 0.135886 + 0.373344i
\(428\) 67210.5 + 55016.5i 0.366902 + 0.300335i
\(429\) 103248. + 178831.i 0.561007 + 0.971692i
\(430\) 19702.9 75363.6i 0.106560 0.407591i
\(431\) 116142. + 20478.9i 0.625220 + 0.110243i 0.477277 0.878753i \(-0.341624\pi\)
0.147943 + 0.988996i \(0.452735\pi\)
\(432\) −111668. + 22505.2i −0.598359 + 0.120591i
\(433\) 12896.5 + 10821.4i 0.0687853 + 0.0577177i 0.676532 0.736413i \(-0.263482\pi\)
−0.607747 + 0.794131i \(0.707926\pi\)
\(434\) −24761.3 + 11730.3i −0.131460 + 0.0622774i
\(435\) 89642.0 246289.i 0.473732 1.30157i
\(436\) 190266. 112959.i 1.00089 0.594223i
\(437\) −112443. 83983.2i −0.588802 0.439774i
\(438\) 322317. 88470.2i 1.68010 0.461157i
\(439\) 33338.2 91595.9i 0.172987 0.475277i −0.822655 0.568541i \(-0.807508\pi\)
0.995641 + 0.0932642i \(0.0297301\pi\)
\(440\) −356900. 240316.i −1.84349 1.24130i
\(441\) −70282.5 58974.0i −0.361385 0.303238i
\(442\) 60612.2 + 41893.8i 0.310252 + 0.214440i
\(443\) 206906. + 36483.1i 1.05430 + 0.185902i 0.673828 0.738889i \(-0.264649\pi\)
0.380476 + 0.924791i \(0.375760\pi\)
\(444\) 372412. 4532.39i 1.88911 0.0229912i
\(445\) 110832. + 191967.i 0.559689 + 0.969410i
\(446\) −246251. + 174669.i −1.23796 + 0.878105i
\(447\) 42305.7 + 116234.i 0.211731 + 0.581725i
\(448\) −26149.0 41698.2i −0.130286 0.207760i
\(449\) 37431.0 64832.5i 0.185669 0.321588i −0.758133 0.652100i \(-0.773888\pi\)
0.943802 + 0.330512i \(0.107221\pi\)
\(450\) 47433.5 4440.89i 0.234240 0.0219303i
\(451\) −285429. 340161.i −1.40328 1.67237i
\(452\) −233132. 38188.3i −1.14111 0.186919i
\(453\) 80702.7 + 457688.i 0.393271 + 2.23035i
\(454\) 175216. + 14255.6i 0.850083 + 0.0691631i
\(455\) 30716.7i 0.148372i
\(456\) 254814. + 3157.74i 1.22544 + 0.0151861i
\(457\) −262018. −1.25458 −0.627291 0.778785i \(-0.715836\pi\)
−0.627291 + 0.778785i \(0.715836\pi\)
\(458\) −17642.6 + 216845.i −0.0841068 + 1.03376i
\(459\) 95672.9 16869.7i 0.454113 0.0800723i
\(460\) 30464.5 185980.i 0.143972 0.878923i
\(461\) −173726. + 145773.i −0.817452 + 0.685924i −0.952374 0.304932i \(-0.901366\pi\)
0.134922 + 0.990856i \(0.456922\pi\)
\(462\) 10965.8 + 117127.i 0.0513756 + 0.548747i
\(463\) −227548. 131375.i −1.06148 0.612845i −0.135638 0.990758i \(-0.543308\pi\)
−0.925841 + 0.377913i \(0.876642\pi\)
\(464\) 200722. 4886.44i 0.932306 0.0226964i
\(465\) 179007. 65153.1i 0.827872 0.301321i
\(466\) −134298. 189335.i −0.618439 0.871883i
\(467\) −70440.3 + 40668.7i −0.322989 + 0.186478i −0.652724 0.757596i \(-0.726374\pi\)
0.329735 + 0.944073i \(0.393041\pi\)
\(468\) −667.919 54880.7i −0.00304952 0.250569i
\(469\) −10083.6 + 57187.0i −0.0458427 + 0.259987i
\(470\) 53876.6 77949.1i 0.243896 0.352870i
\(471\) 20471.0 24396.4i 0.0922778 0.109972i
\(472\) 154121. + 103776.i 0.691794 + 0.465814i
\(473\) −134025. 48781.1i −0.599051 0.218037i
\(474\) −117755. 429007.i −0.524109 1.90945i
\(475\) 105018. + 12440.7i 0.465454 + 0.0551388i
\(476\) 21428.5 + 36093.7i 0.0945755 + 0.159301i
\(477\) −42426.6 15442.0i −0.186467 0.0678684i
\(478\) −94888.5 200298.i −0.415296 0.876638i
\(479\) 123310. 146955.i 0.537435 0.640490i −0.427176 0.904169i \(-0.640491\pi\)
0.964611 + 0.263679i \(0.0849359\pi\)
\(480\) 153986. + 305593.i 0.668343 + 1.32636i
\(481\) 30919.4 175353.i 0.133641 0.757918i
\(482\) 159852. + 41791.5i 0.688058 + 0.179884i
\(483\) −44623.2 + 25763.2i −0.191279 + 0.110435i
\(484\) −350628. + 428342.i −1.49677 + 1.82852i
\(485\) −343174. + 124905.i −1.45892 + 0.531002i
\(486\) −154843. 152970.i −0.655570 0.647640i
\(487\) 351509. + 202944.i 1.48210 + 0.855693i 0.999794 0.0203075i \(-0.00646453\pi\)
0.482310 + 0.876001i \(0.339798\pi\)
\(488\) 311954. 227030.i 1.30994 0.953332i
\(489\) 127700. 107153.i 0.534040 0.448112i
\(490\) 114067. 248555.i 0.475081 1.03521i
\(491\) 267622. 47189.0i 1.11009 0.195739i 0.411605 0.911362i \(-0.364968\pi\)
0.698486 + 0.715623i \(0.253857\pi\)
\(492\) 65553.3 + 347021.i 0.270810 + 1.43359i
\(493\) −171232. −0.704517
\(494\) 24096.2 119425.i 0.0987402 0.489376i
\(495\) 273335.i 1.11554i
\(496\) 96495.3 + 109473.i 0.392232 + 0.444985i
\(497\) 9196.29 + 52154.8i 0.0372306 + 0.211145i
\(498\) 16129.1 35145.7i 0.0650355 0.141714i
\(499\) 103251. + 123049.i 0.414660 + 0.494173i 0.932432 0.361346i \(-0.117683\pi\)
−0.517772 + 0.855519i \(0.673238\pi\)
\(500\) −56891.1 150580.i −0.227564 0.602318i
\(501\) −46036.1 + 79736.9i −0.183410 + 0.317675i
\(502\) −109042. 107723.i −0.432699 0.427465i
\(503\) −50094.1 137632.i −0.197993 0.543983i 0.800471 0.599371i \(-0.204583\pi\)
−0.998465 + 0.0553883i \(0.982360\pi\)
\(504\) 12694.7 28574.3i 0.0499758 0.112490i
\(505\) 199502. + 345547.i 0.782283 + 1.35495i
\(506\) −333842. 87279.0i −1.30389 0.340886i
\(507\) 232914. + 41069.0i 0.906108 + 0.159771i
\(508\) −115867. 40582.1i −0.448984 0.157256i
\(509\) 346452. + 290707.i 1.33723 + 1.12207i 0.982328 + 0.187169i \(0.0599313\pi\)
0.354905 + 0.934902i \(0.384513\pi\)
\(510\) −124942. 263738.i −0.480363 1.01399i
\(511\) 31135.2 85543.3i 0.119237 0.327600i
\(512\) −174940. + 195232.i −0.667342 + 0.744751i
\(513\) −88061.7 134347.i −0.334620 0.510495i
\(514\) 30107.3 + 109688.i 0.113958 + 0.415176i
\(515\) 12239.9 33628.9i 0.0461492 0.126794i
\(516\) 73965.4 + 86001.0i 0.277798 + 0.323001i
\(517\) −132906. 111521.i −0.497236 0.417230i
\(518\) 57675.6 83445.4i 0.214947 0.310987i
\(519\) −134930. 23791.9i −0.500928 0.0883271i
\(520\) 157226. 45220.2i 0.581456 0.167234i
\(521\) 104185. + 180453.i 0.383820 + 0.664797i 0.991605 0.129306i \(-0.0412748\pi\)
−0.607784 + 0.794102i \(0.707941\pi\)
\(522\) 73794.1 + 104036.i 0.270820 + 0.381805i
\(523\) 92365.2 + 253771.i 0.337680 + 0.927767i 0.986051 + 0.166443i \(0.0532282\pi\)
−0.648371 + 0.761324i \(0.724550\pi\)
\(524\) −222477. + 396406.i −0.810257 + 1.44370i
\(525\) 19413.1 33624.5i 0.0704330 0.121994i
\(526\) 42304.9 + 451862.i 0.152904 + 1.63318i
\(527\) −79997.5 95337.3i −0.288042 0.343275i
\(528\) 583378. 228559.i 2.09258 0.819844i
\(529\) 22348.8 + 126746.i 0.0798626 + 0.452923i
\(530\) 10913.5 134138.i 0.0388519 0.477528i
\(531\) 118035.i 0.418620i
\(532\) 40853.5 56109.2i 0.144347 0.198249i
\(533\) 168840. 0.594321
\(534\) −321725. 26175.7i −1.12824 0.0917943i
\(535\) −161973. + 28560.2i −0.565894 + 0.0997823i
\(536\) 307561. 32575.1i 1.07054 0.113385i
\(537\) 245991. 206411.i 0.853042 0.715787i
\(538\) −204518. + 19147.7i −0.706590 + 0.0661535i
\(539\) −433647. 250366.i −1.49265 0.861783i
\(540\) 105572. 188106.i 0.362043 0.645082i
\(541\) −189653. + 69028.1i −0.647986 + 0.235847i −0.645041 0.764148i \(-0.723160\pi\)
−0.00294483 + 0.999996i \(0.500937\pi\)
\(542\) 277390. 196757.i 0.944261 0.669779i
\(543\) 356875. 206042.i 1.21036 0.698804i
\(544\) 153202. 162820.i 0.517685 0.550185i
\(545\) −72758.4 + 412633.i −0.244957 + 1.38922i
\(546\) −36795.9 25432.5i −0.123428 0.0853107i
\(547\) −365860. + 436015.i −1.22276 + 1.45723i −0.374847 + 0.927087i \(0.622305\pi\)
−0.847911 + 0.530139i \(0.822140\pi\)
\(548\) 133402. + 155109.i 0.444224 + 0.516508i
\(549\) 230319. + 83829.2i 0.764161 + 0.278132i
\(550\) 250738. 68822.9i 0.828885 0.227514i
\(551\) 111738. + 260151.i 0.368043 + 0.856886i
\(552\) 197564. + 190479.i 0.648379 + 0.625129i
\(553\) −113859. 41441.3i −0.372321 0.135514i
\(554\) 418136. 198087.i 1.36238 0.645410i
\(555\) −453326. + 540253.i −1.47172 + 1.75393i
\(556\) 34127.2 + 11953.0i 0.110395 + 0.0386658i
\(557\) 16194.3 91842.6i 0.0521979 0.296029i −0.947522 0.319690i \(-0.896421\pi\)
0.999720 + 0.0236613i \(0.00753233\pi\)
\(558\) −23448.5 + 89690.7i −0.0753091 + 0.288057i
\(559\) 46965.1 27115.3i 0.150298 0.0867743i
\(560\) 92151.8 + 13945.6i 0.293851 + 0.0444694i
\(561\) −502119. + 182756.i −1.59544 + 0.580693i
\(562\) −90424.3 + 91531.5i −0.286294 + 0.289800i
\(563\) 36497.6 + 21071.9i 0.115146 + 0.0664793i 0.556467 0.830870i \(-0.312157\pi\)
−0.441321 + 0.897349i \(0.645490\pi\)
\(564\) 48767.8 + 129079.i 0.153311 + 0.405785i
\(565\) 342684. 287546.i 1.07349 0.900764i
\(566\) −96944.3 44489.7i −0.302614 0.138876i
\(567\) −97051.7 + 17112.8i −0.301882 + 0.0532299i
\(568\) 253420. 123852.i 0.785495 0.383891i
\(569\) −300406. −0.927863 −0.463931 0.885871i \(-0.653562\pi\)
−0.463931 + 0.885871i \(0.653562\pi\)
\(570\) −319163. + 361927.i −0.982343 + 1.11396i
\(571\) 239590.i 0.734847i 0.930054 + 0.367423i \(0.119760\pi\)
−0.930054 + 0.367423i \(0.880240\pi\)
\(572\) −55601.7 294341.i −0.169940 0.899618i
\(573\) 6784.84 + 38478.8i 0.0206648 + 0.117196i
\(574\) 87420.3 + 40119.0i 0.265331 + 0.121766i
\(575\) 73204.7 + 87242.0i 0.221413 + 0.263870i
\(576\) −164948. 22912.4i −0.497167 0.0690599i
\(577\) −155439. + 269227.i −0.466882 + 0.808663i −0.999284 0.0378282i \(-0.987956\pi\)
0.532402 + 0.846491i \(0.321289\pi\)
\(578\) 100795. 102030.i 0.301707 0.305401i
\(579\) −161024. 442410.i −0.480323 1.31968i
\(580\) −240825. + 294202.i −0.715888 + 0.874559i
\(581\) −5266.08 9121.12i −0.0156004 0.0270207i
\(582\) 134512. 514508.i 0.397114 1.51896i
\(583\) −242670. 42789.3i −0.713969 0.125892i
\(584\) −483696. 33433.8i −1.41823 0.0980303i
\(585\) 79614.7 + 66804.7i 0.232639 + 0.195207i
\(586\) 76564.4 36271.4i 0.222962 0.105625i
\(587\) 62774.5 172472.i 0.182183 0.500543i −0.814660 0.579938i \(-0.803077\pi\)
0.996843 + 0.0793951i \(0.0252989\pi\)
\(588\) 203302. + 342437.i 0.588014 + 0.990436i
\(589\) −92642.5 + 183752.i −0.267042 + 0.529666i
\(590\) −339287. + 93128.0i −0.974681 + 0.267532i
\(591\) 141213. 387980.i 0.404297 1.11080i
\(592\) −512029. 172371.i −1.46100 0.491837i
\(593\) −526352. 441662.i −1.49681 1.25597i −0.885551 0.464543i \(-0.846219\pi\)
−0.611260 0.791430i \(-0.709337\pi\)
\(594\) −324898. 224562.i −0.920820 0.636450i
\(595\) −78277.1 13802.4i −0.221106 0.0389870i
\(596\) −2183.59 179418.i −0.00614721 0.505095i
\(597\) −251115. 434944.i −0.704570 1.22035i
\(598\) 107015. 75907.4i 0.299256 0.212267i
\(599\) −35929.8 98716.4i −0.100139 0.275129i 0.879500 0.475900i \(-0.157877\pi\)
−0.979638 + 0.200771i \(0.935655\pi\)
\(600\) −200689. 49866.5i −0.557468 0.138518i
\(601\) −206685. + 357990.i −0.572217 + 0.991109i 0.424121 + 0.905606i \(0.360583\pi\)
−0.996338 + 0.0855035i \(0.972750\pi\)
\(602\) 30760.1 2879.87i 0.0848780 0.00794658i
\(603\) 126293. + 150510.i 0.347331 + 0.413933i
\(604\) 108980. 665303.i 0.298726 1.82367i
\(605\) −182018. 1.03228e6i −0.497283 2.82023i
\(606\) −579116. 47117.1i −1.57696 0.128302i
\(607\) 109614.i 0.297501i 0.988875 + 0.148750i \(0.0475251\pi\)
−0.988875 + 0.148750i \(0.952475\pi\)
\(608\) −347342. 126510.i −0.939617 0.342229i
\(609\) 103950. 0.280279
\(610\) −59245.4 + 728185.i −0.159219 + 1.95696i
\(611\) 64966.0 11455.3i 0.174022 0.0306847i
\(612\) 140155. + 22958.2i 0.374203 + 0.0612963i
\(613\) 315705. 264908.i 0.840158 0.704976i −0.117441 0.993080i \(-0.537469\pi\)
0.957599 + 0.288104i \(0.0930248\pi\)
\(614\) 55967.2 + 597790.i 0.148456 + 1.58567i
\(615\) −579147. 334370.i −1.53122 0.884052i
\(616\) 41150.9 165612.i 0.108447 0.436447i
\(617\) 634001. 230757.i 1.66540 0.606157i 0.674205 0.738544i \(-0.264486\pi\)
0.991198 + 0.132387i \(0.0422642\pi\)
\(618\) 30150.1 + 42506.0i 0.0789428 + 0.111294i
\(619\) 144615. 83493.3i 0.377425 0.217907i −0.299272 0.954168i \(-0.596744\pi\)
0.676697 + 0.736261i \(0.263411\pi\)
\(620\) −276314. + 3362.84i −0.718818 + 0.00874829i
\(621\) 30039.6 170363.i 0.0778952 0.441766i
\(622\) 17033.9 24644.8i 0.0440286 0.0637008i
\(623\) −56510.5 + 67346.6i −0.145597 + 0.173516i
\(624\) −76008.3 + 225783.i −0.195205 + 0.579859i
\(625\) 458475. + 166871.i 1.17370 + 0.427190i
\(626\) −155294. 565771.i −0.396283 1.44375i
\(627\) 605319. + 643606.i 1.53975 + 1.63714i
\(628\) −39724.5 + 23584.1i −0.100725 + 0.0597999i
\(629\) 432967. + 157587.i 1.09434 + 0.398308i
\(630\) 25348.3 + 53507.1i 0.0638657 + 0.134813i
\(631\) −151223. + 180221.i −0.379804 + 0.452633i −0.921752 0.387779i \(-0.873242\pi\)
0.541948 + 0.840412i \(0.317687\pi\)
\(632\) −44500.7 + 643804.i −0.111412 + 1.61183i
\(633\) 104535. 592850.i 0.260889 1.47958i
\(634\) −246005. 64315.1i −0.612021 0.160005i
\(635\) 201328. 116237.i 0.499294 0.288268i
\(636\) 151649. + 124135.i 0.374908 + 0.306888i
\(637\) 178911. 65118.1i 0.440917 0.160481i
\(638\) 495227. + 489236.i 1.21664 + 1.20192i
\(639\) 155181. + 89593.6i 0.380046 + 0.219420i
\(640\) −64281.2 492216.i −0.156937 1.20170i
\(641\) 447616. 375594.i 1.08941 0.914119i 0.0927375 0.995691i \(-0.470438\pi\)
0.996668 + 0.0815712i \(0.0259938\pi\)
\(642\) 99895.9 217676.i 0.242369 0.528129i
\(643\) 204321. 36027.3i 0.494186 0.0871384i 0.0789997 0.996875i \(-0.474827\pi\)
0.415187 + 0.909736i \(0.363716\pi\)
\(644\) 73445.9 13874.1i 0.177091 0.0334529i
\(645\) −214797. −0.516307
\(646\) 293511. + 115068.i 0.703329 + 0.275735i
\(647\) 358343.i 0.856034i −0.903771 0.428017i \(-0.859212\pi\)
0.903771 0.428017i \(-0.140788\pi\)
\(648\) 230470. + 471573.i 0.548862 + 1.12305i
\(649\) 111864. + 634414.i 0.265584 + 1.50620i
\(650\) −41235.7 + 89853.6i −0.0975992 + 0.212671i
\(651\) 48564.2 + 57876.5i 0.114592 + 0.136565i
\(652\) −226211. + 85465.8i −0.532131 + 0.201047i
\(653\) 127960. 221634.i 0.300088 0.519769i −0.676067 0.736840i \(-0.736317\pi\)
0.976156 + 0.217071i \(0.0696505\pi\)
\(654\) −434056. 428805.i −1.01482 1.00255i
\(655\) −294401. 808861.i −0.686210 1.88535i
\(656\) 76654.5 506529.i 0.178127 1.17705i
\(657\) −154005. 266744.i −0.356783 0.617966i
\(658\) 36359.4 + 9505.72i 0.0839778 + 0.0219550i
\(659\) −218124. 38461.1i −0.502264 0.0885627i −0.0832249 0.996531i \(-0.526522\pi\)
−0.419039 + 0.907968i \(0.637633\pi\)
\(660\) −392189. + 1.11975e6i −0.900342 + 2.57058i
\(661\) −556133. 466651.i −1.27284 1.06804i −0.994189 0.107652i \(-0.965667\pi\)
−0.278656 0.960391i \(-0.589889\pi\)
\(662\) −85888.1 181299.i −0.195982 0.413694i
\(663\) 69489.2 190920.i 0.158085 0.434335i
\(664\) −38934.6 + 40382.6i −0.0883078 + 0.0915922i
\(665\) 30110.2 + 127932.i 0.0680879 + 0.289293i
\(666\) −90845.6 330972.i −0.204812 0.746178i
\(667\) −104285. + 286522.i −0.234408 + 0.644030i
\(668\) 101261. 87090.1i 0.226929 0.195171i
\(669\) 637732. + 535120.i 1.42490 + 1.19564i
\(670\) −332992. + 481775.i −0.741795 + 1.07323i
\(671\) 1.31737e6 + 232288.i 2.92592 + 0.515919i
\(672\) −93004.3 + 98843.0i −0.205951 + 0.218881i
\(673\) 85471.3 + 148041.i 0.188708 + 0.326852i 0.944820 0.327591i \(-0.106237\pi\)
−0.756112 + 0.654442i \(0.772903\pi\)
\(674\) 454997. + 641459.i 1.00159 + 1.41205i
\(675\) 44583.1 + 122491.i 0.0978503 + 0.268842i
\(676\) −299181. 167912.i −0.654698 0.367441i
\(677\) −135567. + 234808.i −0.295785 + 0.512314i −0.975167 0.221470i \(-0.928914\pi\)
0.679382 + 0.733784i \(0.262248\pi\)
\(678\) 60722.7 + 648584.i 0.132097 + 1.41093i
\(679\) −93102.4 110955.i −0.201939 0.240662i
\(680\) 44588.6 + 420986.i 0.0964285 + 0.910437i
\(681\) −84175.3 477382.i −0.181506 1.02937i
\(682\) −41029.5 + 504294.i −0.0882120 + 1.08421i
\(683\) 416603.i 0.893061i 0.894768 + 0.446531i \(0.147341\pi\)
−0.894768 + 0.446531i \(0.852659\pi\)
\(684\) −56578.7 227918.i −0.120932 0.487155i
\(685\) −387402. −0.825622
\(686\) 223133. + 18154.2i 0.474149 + 0.0385769i
\(687\) 590802. 104174.i 1.25178 0.220723i
\(688\) −60024.9 153208.i −0.126810 0.323672i
\(689\) 71773.4 60225.1i 0.151191 0.126864i
\(690\) −517405. + 48441.2i −1.08676 + 0.101746i
\(691\) −315909. 182390.i −0.661616 0.381984i 0.131276 0.991346i \(-0.458092\pi\)
−0.792892 + 0.609362i \(0.791426\pi\)
\(692\) 173320. + 97273.5i 0.361940 + 0.203134i
\(693\) 101870. 37077.6i 0.212119 0.0772049i
\(694\) 676041. 479526.i 1.40363 0.995618i
\(695\) −59298.8 + 34236.2i −0.122765 + 0.0708787i
\(696\) −153032. 532076.i −0.315910 1.09839i
\(697\) −75867.2 + 430264.i −0.156167 + 0.885665i
\(698\) 571093. + 394727.i 1.17218 + 0.810187i
\(699\) −411438. + 490332.i −0.842073 + 1.00354i
\(700\) −42701.2 + 36725.3i −0.0871453 + 0.0749495i
\(701\) 9488.77 + 3453.63i 0.0193096 + 0.00702813i 0.351657 0.936129i \(-0.385618\pi\)
−0.332347 + 0.943157i \(0.607841\pi\)
\(702\) 144816. 39749.3i 0.293861 0.0806595i
\(703\) −43113.4 760636.i −0.0872371 1.53910i
\(704\) −908280. + 33175.5i −1.83263 + 0.0669378i
\(705\) −245529. 89365.2i −0.493997 0.179800i
\(706\) 101128. 47908.2i 0.202891 0.0961171i
\(707\) −101721. + 121226.i −0.203503 + 0.242525i
\(708\) 169360. 483542.i 0.337865 0.964645i
\(709\) 5131.81 29103.9i 0.0102089 0.0578974i −0.979278 0.202522i \(-0.935086\pi\)
0.989487 + 0.144624i \(0.0461974\pi\)
\(710\) −135098. + 516750.i −0.267999 + 1.02510i
\(711\) −355039. + 204982.i −0.702324 + 0.405487i
\(712\) 427912. + 190108.i 0.844100 + 0.375007i
\(713\) −208248. + 75796.1i −0.409640 + 0.149097i
\(714\) 81344.9 82340.9i 0.159564 0.161517i
\(715\) 491227. + 283610.i 0.960882 + 0.554766i
\(716\) −435754. + 164634.i −0.849993 + 0.321139i
\(717\) −468172. + 392843.i −0.910683 + 0.764154i
\(718\) −530862. 243624.i −1.02975 0.472575i
\(719\) −151415. + 26698.6i −0.292895 + 0.0516453i −0.318165 0.948035i \(-0.603067\pi\)
0.0252699 + 0.999681i \(0.491955\pi\)
\(720\) 236563. 208519.i 0.456333 0.402235i
\(721\) 14193.6 0.0273037
\(722\) −16708.8 521016.i −0.0320531 0.999486i
\(723\) 455601.i 0.871582i
\(724\) −587384. + 110959.i −1.12059 + 0.211682i
\(725\) −39896.6 226265.i −0.0759032 0.430469i
\(726\) 1.38728e6 + 636650.i 2.63203 + 1.20789i
\(727\) −40870.3 48707.3i −0.0773284 0.0921564i 0.725993 0.687702i \(-0.241380\pi\)
−0.803322 + 0.595546i \(0.796936\pi\)
\(728\) 38180.8 + 52462.8i 0.0720413 + 0.0989895i
\(729\) 32054.4 55519.8i 0.0603159 0.104470i
\(730\) 645240. 653141.i 1.21081 1.22564i
\(731\) 47995.9 + 131868.i 0.0898193 + 0.246777i
\(732\) −823246. 673885.i −1.53641 1.25766i
\(733\) −296778. 514035.i −0.552363 0.956720i −0.998104 0.0615580i \(-0.980393\pi\)
0.445741 0.895162i \(-0.352940\pi\)
\(734\) −152377. + 582843.i −0.282831 + 1.08183i
\(735\) −742650. 130949.i −1.37470 0.242398i
\(736\) −179140. 355513.i −0.330703 0.656297i
\(737\) 821441. + 689271.i 1.51231 + 1.26898i
\(738\) 294112. 139331.i 0.540007 0.255821i
\(739\) −111686. + 306854.i −0.204507 + 0.561878i −0.998967 0.0454379i \(-0.985532\pi\)
0.794460 + 0.607316i \(0.207754\pi\)
\(740\) 879691. 522266.i 1.60645 0.953736i
\(741\) −335408. + 19011.2i −0.610854 + 0.0346236i
\(742\) 51472.5 14128.3i 0.0934905 0.0256614i
\(743\) 119526. 328396.i 0.216514 0.594867i −0.783121 0.621869i \(-0.786374\pi\)
0.999635 + 0.0270016i \(0.00859593\pi\)
\(744\) 224751. 333783.i 0.406027 0.603001i
\(745\) 260280. + 218400.i 0.468951 + 0.393497i
\(746\) 501114. + 346359.i 0.900448 + 0.622370i
\(747\) −35094.0 6188.03i −0.0628915 0.0110895i
\(748\) 775068. 9432.87i 1.38528 0.0168593i
\(749\) −32615.6 56491.9i −0.0581383 0.100698i
\(750\) −362036. + 256797.i −0.643619 + 0.456529i
\(751\) −16659.5 45771.7i −0.0295382 0.0811554i 0.924047 0.382279i \(-0.124861\pi\)
−0.953585 + 0.301123i \(0.902638\pi\)
\(752\) −4871.36 200102.i −0.00861419 0.353847i
\(753\) −211330. + 366034.i −0.372710 + 0.645553i
\(754\) −263537. + 24673.3i −0.463553 + 0.0433995i
\(755\) 820587. + 977937.i 1.43956 + 1.71560i
\(756\) 84426.4 + 13829.5i 0.147718 + 0.0241970i
\(757\) 107800. + 611367.i 0.188117 + 1.06687i 0.921884 + 0.387465i \(0.126649\pi\)
−0.733767 + 0.679401i \(0.762240\pi\)
\(758\) −540243. 43954.4i −0.940266 0.0765004i
\(759\) 951496.i 1.65167i
\(760\) 610504. 342459.i 1.05697 0.592900i
\(761\) −943211. −1.62869 −0.814347 0.580379i \(-0.802905\pi\)
−0.814347 + 0.580379i \(0.802905\pi\)
\(762\) −27452.0 + 337413.i −0.0472786 + 0.581101i
\(763\) −163655. + 28856.8i −0.281112 + 0.0495677i
\(764\) 9162.17 55933.4i 0.0156968 0.0958262i
\(765\) −206016. + 172868.i −0.352029 + 0.295388i
\(766\) −77694.2 829859.i −0.132413 1.41432i
\(767\) −212127. 122472.i −0.360584 0.208183i
\(768\) 642853. + 330536.i 1.08991 + 0.560398i
\(769\) 256533. 93370.5i 0.433802 0.157891i −0.115883 0.993263i \(-0.536970\pi\)
0.549685 + 0.835372i \(0.314748\pi\)
\(770\) 186952. + 263568.i 0.315319 + 0.444540i
\(771\)