Properties

Label 36.5.f.a.7.3
Level 36
Weight 5
Character 36.7
Analytic conductor 3.721
Analytic rank 0
Dimension 44
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 36.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.72131867102\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.3
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.86509 + 1.03009i) q^{2} +(7.79916 + 4.49144i) q^{3} +(13.8778 - 7.96277i) q^{4} +(-5.89438 - 10.2094i) q^{5} +(-34.7711 - 9.32599i) q^{6} +(50.5548 + 29.1878i) q^{7} +(-45.4367 + 45.0722i) q^{8} +(40.6539 + 70.0590i) q^{9} +O(q^{10})\) \(q+(-3.86509 + 1.03009i) q^{2} +(7.79916 + 4.49144i) q^{3} +(13.8778 - 7.96277i) q^{4} +(-5.89438 - 10.2094i) q^{5} +(-34.7711 - 9.32599i) q^{6} +(50.5548 + 29.1878i) q^{7} +(-45.4367 + 45.0722i) q^{8} +(40.6539 + 70.0590i) q^{9} +(33.2988 + 33.3884i) q^{10} +(86.9742 + 50.2146i) q^{11} +(144.000 + 0.228531i) q^{12} +(85.3178 + 147.775i) q^{13} +(-225.465 - 60.7377i) q^{14} +(-0.116489 - 106.099i) q^{15} +(129.189 - 221.012i) q^{16} -398.571 q^{17} +(-229.298 - 228.907i) q^{18} -404.608i q^{19} +(-163.096 - 94.7483i) q^{20} +(263.190 + 454.704i) q^{21} +(-387.889 - 104.493i) q^{22} +(291.091 - 168.062i) q^{23} +(-556.808 + 147.449i) q^{24} +(243.013 - 420.910i) q^{25} +(-481.982 - 483.278i) q^{26} +(2.40116 + 728.996i) q^{27} +(934.007 + 2.50777i) q^{28} +(327.671 - 567.543i) q^{29} +(109.741 + 409.961i) q^{30} +(-550.166 + 317.638i) q^{31} +(-271.664 + 987.307i) q^{32} +(452.791 + 782.271i) q^{33} +(1540.51 - 410.563i) q^{34} -688.176i q^{35} +(1122.05 + 648.549i) q^{36} -1599.91 q^{37} +(416.782 + 1563.85i) q^{38} +(1.68611 + 1535.72i) q^{39} +(727.980 + 198.207i) q^{40} +(-1231.63 - 2133.25i) q^{41} +(-1485.64 - 1486.36i) q^{42} +(-1933.38 - 1116.24i) q^{43} +(1606.86 + 4.31435i) q^{44} +(475.628 - 828.005i) q^{45} +(-951.976 + 949.423i) q^{46} +(2514.55 + 1451.78i) q^{47} +(2000.23 - 1143.47i) q^{48} +(503.358 + 871.842i) q^{49} +(-505.691 + 1877.18i) q^{50} +(-3108.52 - 1790.16i) q^{51} +(2360.72 + 1371.43i) q^{52} +1291.73 q^{53} +(-760.211 - 2815.16i) q^{54} -1183.94i q^{55} +(-3612.60 + 952.417i) q^{56} +(1817.27 - 3155.61i) q^{57} +(-681.858 + 2531.13i) q^{58} +(-1002.24 + 578.642i) q^{59} +(-846.456 - 1471.49i) q^{60} +(-2960.81 + 5128.28i) q^{61} +(1799.24 - 1794.42i) q^{62} +(10.3829 + 4728.42i) q^{63} +(32.9923 - 4095.87i) q^{64} +(1005.79 - 1742.08i) q^{65} +(-2555.88 - 2557.14i) q^{66} +(3085.87 - 1781.63i) q^{67} +(-5531.30 + 3173.73i) q^{68} +(3025.11 - 3.32134i) q^{69} +(708.882 + 2659.86i) q^{70} -5639.73i q^{71} +(-5004.89 - 1350.89i) q^{72} -5496.39 q^{73} +(6183.80 - 1648.05i) q^{74} +(3785.79 - 2191.27i) q^{75} +(-3221.80 - 5615.09i) q^{76} +(2931.31 + 5077.18i) q^{77} +(-1588.44 - 5933.96i) q^{78} +(-2788.94 - 1610.20i) q^{79} +(-3017.88 - 16.2058i) q^{80} +(-3255.51 + 5696.34i) q^{81} +(6957.81 + 6976.52i) q^{82} +(7063.92 + 4078.36i) q^{83} +(7273.21 + 4214.59i) q^{84} +(2349.33 + 4069.15i) q^{85} +(8622.53 + 2322.81i) q^{86} +(5104.64 - 2954.64i) q^{87} +(-6215.11 + 1638.53i) q^{88} +910.873 q^{89} +(-985.425 + 3690.25i) q^{90} +9960.97i q^{91} +(2701.48 - 4650.22i) q^{92} +(-5717.49 + 6.27738i) q^{93} +(-11214.4 - 3021.04i) q^{94} +(-4130.79 + 2384.91i) q^{95} +(-6553.18 + 6480.01i) q^{96} +(8804.44 - 15249.7i) q^{97} +(-2843.60 - 2851.24i) q^{98} +(17.8627 + 8134.75i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + O(q^{10}) \) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + 28q^{10} - 228q^{12} - 2q^{13} + 252q^{14} - q^{16} - 56q^{17} + 72q^{18} - 140q^{20} + 138q^{21} - 33q^{22} - 951q^{24} - 1752q^{25} + 1096q^{26} - 516q^{28} + 526q^{29} - 1980q^{30} - 121q^{32} + 2994q^{33} + 385q^{34} - 1005q^{36} - 8q^{37} + 1395q^{38} - 2276q^{40} - 2762q^{41} + 3330q^{42} + 6714q^{44} + 4110q^{45} + 3576q^{46} + 2163q^{48} + 3428q^{49} + 6375q^{50} + 1438q^{52} - 10088q^{53} - 4983q^{54} - 7506q^{56} + 1752q^{57} - 4064q^{58} - 16392q^{60} - 2q^{61} - 18324q^{62} + 9026q^{64} - 2014q^{65} - 17358q^{66} - 11405q^{68} + 3354q^{69} + 3666q^{70} + 4083q^{72} - 3416q^{73} + 14620q^{74} + 1581q^{76} - 3942q^{77} + 34566q^{78} + 45520q^{80} - 1164q^{81} - 8486q^{82} + 51078q^{84} - 1252q^{85} + 22113q^{86} + 1995q^{88} + 13048q^{89} - 4692q^{90} - 30294q^{92} + 12090q^{93} + 7524q^{94} - 76164q^{96} + 5638q^{97} - 92938q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.86509 + 1.03009i −0.966272 + 0.257522i
\(3\) 7.79916 + 4.49144i 0.866574 + 0.499049i
\(4\) 13.8778 7.96277i 0.867365 0.497673i
\(5\) −5.89438 10.2094i −0.235775 0.408374i 0.723723 0.690091i \(-0.242430\pi\)
−0.959498 + 0.281717i \(0.909096\pi\)
\(6\) −34.7711 9.32599i −0.965863 0.259055i
\(7\) 50.5548 + 29.1878i 1.03173 + 0.595670i 0.917480 0.397782i \(-0.130220\pi\)
0.114251 + 0.993452i \(0.463553\pi\)
\(8\) −45.4367 + 45.0722i −0.709949 + 0.704253i
\(9\) 40.6539 + 70.0590i 0.501900 + 0.864925i
\(10\) 33.2988 + 33.3884i 0.332988 + 0.333884i
\(11\) 86.9742 + 50.2146i 0.718795 + 0.414997i 0.814309 0.580431i \(-0.197116\pi\)
−0.0955138 + 0.995428i \(0.530449\pi\)
\(12\) 144.000 + 0.228531i 0.999999 + 0.00158702i
\(13\) 85.3178 + 147.775i 0.504839 + 0.874407i 0.999984 + 0.00559684i \(0.00178154\pi\)
−0.495145 + 0.868810i \(0.664885\pi\)
\(14\) −225.465 60.7377i −1.15033 0.309886i
\(15\) −0.116489 106.099i −0.000517727 0.471550i
\(16\) 129.189 221.012i 0.504643 0.863328i
\(17\) −398.571 −1.37914 −0.689569 0.724220i \(-0.742200\pi\)
−0.689569 + 0.724220i \(0.742200\pi\)
\(18\) −229.298 228.907i −0.707710 0.706503i
\(19\) 404.608i 1.12080i −0.828223 0.560399i \(-0.810648\pi\)
0.828223 0.560399i \(-0.189352\pi\)
\(20\) −163.096 94.7483i −0.407740 0.236871i
\(21\) 263.190 + 454.704i 0.596802 + 1.03108i
\(22\) −387.889 104.493i −0.801423 0.215894i
\(23\) 291.091 168.062i 0.550267 0.317697i −0.198963 0.980007i \(-0.563757\pi\)
0.749230 + 0.662310i \(0.230424\pi\)
\(24\) −556.808 + 147.449i −0.966680 + 0.255988i
\(25\) 243.013 420.910i 0.388820 0.673456i
\(26\) −481.982 483.278i −0.712991 0.714908i
\(27\) 2.40116 + 728.996i 0.00329377 + 0.999995i
\(28\) 934.007 + 2.50777i 1.19134 + 0.00319868i
\(29\) 327.671 567.543i 0.389621 0.674843i −0.602778 0.797909i \(-0.705939\pi\)
0.992398 + 0.123066i \(0.0392728\pi\)
\(30\) 109.741 + 409.961i 0.121935 + 0.455512i
\(31\) −550.166 + 317.638i −0.572493 + 0.330529i −0.758144 0.652087i \(-0.773894\pi\)
0.185651 + 0.982616i \(0.440560\pi\)
\(32\) −271.664 + 987.307i −0.265297 + 0.964167i
\(33\) 452.791 + 782.271i 0.415786 + 0.718339i
\(34\) 1540.51 410.563i 1.33262 0.355158i
\(35\) 688.176i 0.561776i
\(36\) 1122.05 + 648.549i 0.865781 + 0.500424i
\(37\) −1599.91 −1.16867 −0.584336 0.811512i \(-0.698645\pi\)
−0.584336 + 0.811512i \(0.698645\pi\)
\(38\) 416.782 + 1563.85i 0.288630 + 1.08300i
\(39\) 1.68611 + 1535.72i 0.00110855 + 1.00968i
\(40\) 727.980 + 198.207i 0.454987 + 0.123880i
\(41\) −1231.63 2133.25i −0.732679 1.26904i −0.955734 0.294232i \(-0.904936\pi\)
0.223055 0.974806i \(-0.428397\pi\)
\(42\) −1485.64 1486.36i −0.842198 0.842610i
\(43\) −1933.38 1116.24i −1.04564 0.603699i −0.124212 0.992256i \(-0.539640\pi\)
−0.921425 + 0.388557i \(0.872974\pi\)
\(44\) 1606.86 + 4.31435i 0.829990 + 0.00222849i
\(45\) 475.628 828.005i 0.234878 0.408891i
\(46\) −951.976 + 949.423i −0.449894 + 0.448688i
\(47\) 2514.55 + 1451.78i 1.13832 + 0.657211i 0.946015 0.324124i \(-0.105069\pi\)
0.192308 + 0.981335i \(0.438403\pi\)
\(48\) 2000.23 1143.47i 0.868153 0.496296i
\(49\) 503.358 + 871.842i 0.209645 + 0.363116i
\(50\) −505.691 + 1877.18i −0.202276 + 0.750872i
\(51\) −3108.52 1790.16i −1.19512 0.688257i
\(52\) 2360.72 + 1371.43i 0.873048 + 0.507185i
\(53\) 1291.73 0.459852 0.229926 0.973208i \(-0.426152\pi\)
0.229926 + 0.973208i \(0.426152\pi\)
\(54\) −760.211 2815.16i −0.260703 0.965419i
\(55\) 1183.94i 0.391384i
\(56\) −3612.60 + 952.417i −1.15198 + 0.303704i
\(57\) 1817.27 3155.61i 0.559333 0.971254i
\(58\) −681.858 + 2531.13i −0.202693 + 0.752418i
\(59\) −1002.24 + 578.642i −0.287917 + 0.166229i −0.637002 0.770862i \(-0.719826\pi\)
0.349085 + 0.937091i \(0.386492\pi\)
\(60\) −846.456 1471.49i −0.235127 0.408748i
\(61\) −2960.81 + 5128.28i −0.795703 + 1.37820i 0.126688 + 0.991943i \(0.459565\pi\)
−0.922392 + 0.386256i \(0.873768\pi\)
\(62\) 1799.24 1794.42i 0.468066 0.466811i
\(63\) 10.3829 + 4728.42i 0.00261600 + 1.19134i
\(64\) 32.9923 4095.87i 0.00805476 0.999968i
\(65\) 1005.79 1742.08i 0.238057 0.412327i
\(66\) −2555.88 2557.14i −0.586750 0.587037i
\(67\) 3085.87 1781.63i 0.687430 0.396888i −0.115219 0.993340i \(-0.536757\pi\)
0.802648 + 0.596452i \(0.203424\pi\)
\(68\) −5531.30 + 3173.73i −1.19622 + 0.686360i
\(69\) 3025.11 3.32134i 0.635393 0.000697615i
\(70\) 708.882 + 2659.86i 0.144670 + 0.542829i
\(71\) 5639.73i 1.11877i −0.828907 0.559386i \(-0.811037\pi\)
0.828907 0.559386i \(-0.188963\pi\)
\(72\) −5004.89 1350.89i −0.965450 0.260588i
\(73\) −5496.39 −1.03141 −0.515705 0.856766i \(-0.672470\pi\)
−0.515705 + 0.856766i \(0.672470\pi\)
\(74\) 6183.80 1648.05i 1.12926 0.300959i
\(75\) 3785.79 2191.27i 0.673029 0.389559i
\(76\) −3221.80 5615.09i −0.557791 0.972141i
\(77\) 2931.31 + 5077.18i 0.494402 + 0.856329i
\(78\) −1588.44 5933.96i −0.261085 0.975338i
\(79\) −2788.94 1610.20i −0.446874 0.258003i 0.259635 0.965707i \(-0.416398\pi\)
−0.706509 + 0.707704i \(0.749731\pi\)
\(80\) −3017.88 16.2058i −0.471543 0.00253216i
\(81\) −3255.51 + 5696.34i −0.496192 + 0.868213i
\(82\) 6957.81 + 6976.52i 1.03477 + 1.03755i
\(83\) 7063.92 + 4078.36i 1.02539 + 0.592010i 0.915661 0.401951i \(-0.131668\pi\)
0.109730 + 0.993961i \(0.465001\pi\)
\(84\) 7273.21 + 4214.59i 1.03078 + 0.597306i
\(85\) 2349.33 + 4069.15i 0.325166 + 0.563205i
\(86\) 8622.53 + 2322.81i 1.16584 + 0.314063i
\(87\) 5104.64 2954.64i 0.674415 0.390361i
\(88\) −6215.11 + 1638.53i −0.802571 + 0.211588i
\(89\) 910.873 0.114995 0.0574974 0.998346i \(-0.481688\pi\)
0.0574974 + 0.998346i \(0.481688\pi\)
\(90\) −985.425 + 3690.25i −0.121657 + 0.455587i
\(91\) 9960.97i 1.20287i
\(92\) 2701.48 4650.22i 0.319173 0.549412i
\(93\) −5717.49 + 6.27738i −0.661057 + 0.000725792i
\(94\) −11214.4 3021.04i −1.26918 0.341902i
\(95\) −4130.79 + 2384.91i −0.457705 + 0.264256i
\(96\) −6553.18 + 6480.01i −0.711066 + 0.703126i
\(97\) 8804.44 15249.7i 0.935747 1.62076i 0.162450 0.986717i \(-0.448060\pi\)
0.773297 0.634044i \(-0.218606\pi\)
\(98\) −2843.60 2851.24i −0.296085 0.296881i
\(99\) 17.8627 + 8134.75i 0.00182254 + 0.829991i
\(100\) 20.8792 7776.38i 0.00208792 0.777638i
\(101\) −3330.41 + 5768.44i −0.326479 + 0.565478i −0.981810 0.189863i \(-0.939195\pi\)
0.655332 + 0.755341i \(0.272529\pi\)
\(102\) 13858.7 + 3717.07i 1.33206 + 0.357273i
\(103\) 5848.70 3376.75i 0.551296 0.318291i −0.198348 0.980132i \(-0.563558\pi\)
0.749645 + 0.661841i \(0.230224\pi\)
\(104\) −10537.1 2868.94i −0.974214 0.265250i
\(105\) 3090.90 5367.20i 0.280354 0.486821i
\(106\) −4992.64 + 1330.59i −0.444343 + 0.118422i
\(107\) 30.7569i 0.00268643i −0.999999 0.00134321i \(-0.999572\pi\)
0.999999 0.00134321i \(-0.000427558\pi\)
\(108\) 5838.15 + 10097.8i 0.500527 + 0.865721i
\(109\) 10691.4 0.899872 0.449936 0.893061i \(-0.351447\pi\)
0.449936 + 0.893061i \(0.351447\pi\)
\(110\) 1219.56 + 4576.02i 0.100790 + 0.378183i
\(111\) −12478.0 7185.91i −1.01274 0.583225i
\(112\) 12982.0 7402.48i 1.03491 0.590121i
\(113\) −5008.09 8674.27i −0.392207 0.679322i 0.600533 0.799600i \(-0.294955\pi\)
−0.992740 + 0.120277i \(0.961622\pi\)
\(114\) −3773.37 + 14068.6i −0.290349 + 1.08254i
\(115\) −3431.60 1981.24i −0.259479 0.149810i
\(116\) 28.1529 10485.4i 0.00209222 0.779238i
\(117\) −6884.44 + 11984.9i −0.502918 + 0.875514i
\(118\) 3277.69 3268.90i 0.235398 0.234767i
\(119\) −20149.7 11633.4i −1.42290 0.821511i
\(120\) 4787.40 + 4815.53i 0.332458 + 0.334412i
\(121\) −2277.49 3944.73i −0.155556 0.269430i
\(122\) 6161.23 22871.1i 0.413950 1.53663i
\(123\) −24.3403 22169.4i −0.00160885 1.46536i
\(124\) −5105.83 + 8788.97i −0.332065 + 0.571603i
\(125\) −13097.6 −0.838247
\(126\) −4910.82 18265.1i −0.309323 1.15048i
\(127\) 16087.8i 0.997444i 0.866762 + 0.498722i \(0.166197\pi\)
−0.866762 + 0.498722i \(0.833803\pi\)
\(128\) 4091.59 + 15864.9i 0.249731 + 0.968315i
\(129\) −10065.3 17389.4i −0.604847 1.04497i
\(130\) −2092.97 + 7769.35i −0.123845 + 0.459725i
\(131\) −18105.5 + 10453.2i −1.05504 + 0.609127i −0.924056 0.382257i \(-0.875147\pi\)
−0.130983 + 0.991385i \(0.541813\pi\)
\(132\) 12512.8 + 7250.77i 0.718136 + 0.416137i
\(133\) 11809.6 20454.9i 0.667626 1.15636i
\(134\) −10091.9 + 10064.9i −0.562037 + 0.560530i
\(135\) 7428.43 4321.49i 0.407596 0.237119i
\(136\) 18109.8 17964.5i 0.979117 0.971262i
\(137\) −2338.02 + 4049.57i −0.124568 + 0.215759i −0.921564 0.388226i \(-0.873088\pi\)
0.796996 + 0.603985i \(0.206421\pi\)
\(138\) −11688.9 + 3128.97i −0.613783 + 0.164302i
\(139\) 8058.42 4652.53i 0.417081 0.240802i −0.276747 0.960943i \(-0.589256\pi\)
0.693828 + 0.720141i \(0.255923\pi\)
\(140\) −5479.79 9550.40i −0.279581 0.487265i
\(141\) 13090.8 + 22616.6i 0.658460 + 1.13760i
\(142\) 5809.42 + 21798.0i 0.288108 + 1.08104i
\(143\) 17136.8i 0.838026i
\(144\) 20735.9 + 65.8169i 0.999995 + 0.00317404i
\(145\) −7725.67 −0.367451
\(146\) 21244.0 5661.77i 0.996624 0.265611i
\(147\) 9.94769 + 9060.44i 0.000460349 + 0.419290i
\(148\) −22203.3 + 12739.7i −1.01367 + 0.581617i
\(149\) 12385.8 + 21452.8i 0.557893 + 0.966299i 0.997672 + 0.0681928i \(0.0217233\pi\)
−0.439779 + 0.898106i \(0.644943\pi\)
\(150\) −12375.2 + 12369.2i −0.550009 + 0.549740i
\(151\) 8841.72 + 5104.77i 0.387778 + 0.223884i 0.681197 0.732100i \(-0.261460\pi\)
−0.293419 + 0.955984i \(0.594793\pi\)
\(152\) 18236.6 + 18384.1i 0.789326 + 0.795709i
\(153\) −16203.5 27923.5i −0.692190 1.19285i
\(154\) −16559.7 16604.2i −0.698251 0.700128i
\(155\) 6485.77 + 3744.56i 0.269959 + 0.155861i
\(156\) 12252.0 + 21299.0i 0.503451 + 0.875207i
\(157\) 14486.5 + 25091.4i 0.587712 + 1.01795i 0.994531 + 0.104439i \(0.0333046\pi\)
−0.406819 + 0.913509i \(0.633362\pi\)
\(158\) 12438.2 + 3350.70i 0.498244 + 0.134221i
\(159\) 10074.4 + 5801.71i 0.398496 + 0.229489i
\(160\) 11681.1 3046.04i 0.456291 0.118986i
\(161\) 19621.4 0.756970
\(162\) 6715.12 25370.4i 0.255873 0.966711i
\(163\) 17736.4i 0.667560i 0.942651 + 0.333780i \(0.108324\pi\)
−0.942651 + 0.333780i \(0.891676\pi\)
\(164\) −34079.0 19797.7i −1.26707 0.736084i
\(165\) 5317.57 9233.71i 0.195320 0.339163i
\(166\) −31503.8 8486.75i −1.14326 0.307982i
\(167\) 35562.1 20531.8i 1.27513 0.736197i 0.299182 0.954196i \(-0.403286\pi\)
0.975949 + 0.217999i \(0.0699530\pi\)
\(168\) −32453.0 8797.74i −1.14984 0.311711i
\(169\) −277.761 + 481.096i −0.00972518 + 0.0168445i
\(170\) −13271.9 13307.6i −0.459237 0.460472i
\(171\) 28346.4 16448.9i 0.969407 0.562529i
\(172\) −35719.5 95.9053i −1.20739 0.00324180i
\(173\) −3477.87 + 6023.84i −0.116204 + 0.201271i −0.918260 0.395977i \(-0.870406\pi\)
0.802056 + 0.597248i \(0.203739\pi\)
\(174\) −16686.4 + 16678.2i −0.551142 + 0.550872i
\(175\) 24570.9 14186.0i 0.802315 0.463217i
\(176\) 22334.1 12735.2i 0.721013 0.411131i
\(177\) −10415.6 + 11.4355i −0.332457 + 0.000365013i
\(178\) −3520.61 + 938.280i −0.111116 + 0.0296137i
\(179\) 1754.50i 0.0547580i −0.999625 0.0273790i \(-0.991284\pi\)
0.999625 0.0273790i \(-0.00871609\pi\)
\(180\) 7.47253 15278.2i 0.000230634 0.471550i
\(181\) −43787.9 −1.33659 −0.668293 0.743898i \(-0.732975\pi\)
−0.668293 + 0.743898i \(0.732975\pi\)
\(182\) −10260.7 38500.0i −0.309766 1.16230i
\(183\) −46125.2 + 26698.0i −1.37732 + 0.797216i
\(184\) −5651.33 + 20756.3i −0.166922 + 0.613076i
\(185\) 9430.49 + 16334.1i 0.275544 + 0.477256i
\(186\) 22092.1 5913.78i 0.638575 0.170938i
\(187\) −34665.4 20014.1i −0.991318 0.572338i
\(188\) 46456.8 + 124.734i 1.31442 + 0.00352915i
\(189\) −21156.4 + 36924.3i −0.592268 + 1.03369i
\(190\) 13509.2 13473.0i 0.374216 0.373213i
\(191\) −34403.1 19862.7i −0.943042 0.544466i −0.0521297 0.998640i \(-0.516601\pi\)
−0.890913 + 0.454174i \(0.849934\pi\)
\(192\) 18653.7 31796.2i 0.506013 0.862526i
\(193\) 10547.2 + 18268.3i 0.283154 + 0.490437i 0.972160 0.234319i \(-0.0752859\pi\)
−0.689006 + 0.724756i \(0.741953\pi\)
\(194\) −18321.4 + 68011.0i −0.486805 + 1.80707i
\(195\) 15668.8 9069.33i 0.412065 0.238510i
\(196\) 13927.8 + 8091.15i 0.362552 + 0.210619i
\(197\) 28256.1 0.728080 0.364040 0.931383i \(-0.381397\pi\)
0.364040 + 0.931383i \(0.381397\pi\)
\(198\) −8448.55 31423.1i −0.215502 0.801528i
\(199\) 24063.5i 0.607650i −0.952728 0.303825i \(-0.901736\pi\)
0.952728 0.303825i \(-0.0982638\pi\)
\(200\) 7929.65 + 30077.9i 0.198241 + 0.751947i
\(201\) 32069.3 35.2097i 0.793775 0.000871506i
\(202\) 6930.33 25726.1i 0.169844 0.630481i
\(203\) 33130.7 19128.0i 0.803967 0.464171i
\(204\) −57394.1 91.0858i −1.37914 0.00218872i
\(205\) −14519.4 + 25148.4i −0.345495 + 0.598415i
\(206\) −19127.4 + 19076.1i −0.450735 + 0.449527i
\(207\) 23608.2 + 13561.2i 0.550963 + 0.316488i
\(208\) 43682.1 + 234.571i 1.00966 + 0.00542184i
\(209\) 20317.2 35190.5i 0.465127 0.805624i
\(210\) −6417.92 + 23928.6i −0.145531 + 0.542599i
\(211\) −50298.6 + 29039.9i −1.12977 + 0.652274i −0.943878 0.330295i \(-0.892852\pi\)
−0.185895 + 0.982570i \(0.559518\pi\)
\(212\) 17926.4 10285.7i 0.398860 0.228856i
\(213\) 25330.5 43985.2i 0.558322 0.969498i
\(214\) 31.6823 + 118.878i 0.000691814 + 0.00259582i
\(215\) 26318.1i 0.569349i
\(216\) −32966.6 33015.0i −0.706588 0.707625i
\(217\) −37084.7 −0.787545
\(218\) −41323.1 + 11013.1i −0.869522 + 0.231737i
\(219\) −42867.2 24686.7i −0.893794 0.514724i
\(220\) −9427.40 16430.5i −0.194781 0.339472i
\(221\) −34005.2 58898.7i −0.696243 1.20593i
\(222\) 55630.6 + 14920.8i 1.12878 + 0.302751i
\(223\) 14429.6 + 8330.91i 0.290164 + 0.167526i 0.638016 0.770023i \(-0.279755\pi\)
−0.347852 + 0.937550i \(0.613089\pi\)
\(224\) −42551.3 + 41983.8i −0.848040 + 0.836731i
\(225\) 39368.0 86.4463i 0.777639 0.00170758i
\(226\) 28292.0 + 28368.0i 0.553919 + 0.555409i
\(227\) 48721.5 + 28129.4i 0.945515 + 0.545894i 0.891685 0.452657i \(-0.149524\pi\)
0.0538304 + 0.998550i \(0.482857\pi\)
\(228\) 92.4655 58263.5i 0.00177873 1.12080i
\(229\) −1223.91 2119.87i −0.0233388 0.0404239i 0.854120 0.520076i \(-0.174096\pi\)
−0.877459 + 0.479652i \(0.840763\pi\)
\(230\) 15304.3 + 4122.81i 0.289306 + 0.0779358i
\(231\) 57.9305 + 52763.5i 0.00108563 + 0.988803i
\(232\) 10692.1 + 40556.1i 0.198649 + 0.753495i
\(233\) −76971.2 −1.41781 −0.708903 0.705306i \(-0.750809\pi\)
−0.708903 + 0.705306i \(0.750809\pi\)
\(234\) 14263.5 53414.3i 0.260492 0.975497i
\(235\) 34229.3i 0.619816i
\(236\) −9301.30 + 16010.9i −0.167001 + 0.287469i
\(237\) −14519.3 25084.6i −0.258494 0.446591i
\(238\) 89863.7 + 24208.3i 1.58646 + 0.427375i
\(239\) −22567.5 + 13029.4i −0.395083 + 0.228101i −0.684360 0.729144i \(-0.739918\pi\)
0.289277 + 0.957245i \(0.406585\pi\)
\(240\) −23464.1 13681.0i −0.407364 0.237518i
\(241\) 13999.8 24248.4i 0.241039 0.417492i −0.719971 0.694004i \(-0.755845\pi\)
0.961011 + 0.276512i \(0.0891784\pi\)
\(242\) 12866.1 + 12900.7i 0.219693 + 0.220284i
\(243\) −50975.1 + 29804.8i −0.863268 + 0.504747i
\(244\) −254.388 + 94745.6i −0.00427284 + 1.59140i
\(245\) 5933.96 10277.9i 0.0988582 0.171227i
\(246\) 22930.5 + 85661.6i 0.378916 + 1.41552i
\(247\) 59790.9 34520.3i 0.980034 0.565823i
\(248\) 10681.1 39229.6i 0.173665 0.637839i
\(249\) 36775.0 + 63535.0i 0.593135 + 1.02474i
\(250\) 50623.4 13491.7i 0.809975 0.215867i
\(251\) 19782.5i 0.314003i 0.987598 + 0.157001i \(0.0501827\pi\)
−0.987598 + 0.157001i \(0.949817\pi\)
\(252\) 37795.4 + 65537.5i 0.595165 + 1.03202i
\(253\) 33756.6 0.527373
\(254\) −16571.8 62180.7i −0.256864 0.963803i
\(255\) 46.4289 + 42287.9i 0.000714017 + 0.650332i
\(256\) −32156.6 57104.5i −0.490670 0.871345i
\(257\) −38636.9 66921.1i −0.584974 1.01320i −0.994879 0.101076i \(-0.967771\pi\)
0.409905 0.912128i \(-0.365562\pi\)
\(258\) 56815.7 + 56843.5i 0.853550 + 0.853968i
\(259\) −80883.2 46698.0i −1.20575 0.696143i
\(260\) 86.4158 32185.2i 0.00127834 0.476112i
\(261\) 53082.6 116.562i 0.779239 0.00171110i
\(262\) 59211.7 59053.0i 0.862592 0.860279i
\(263\) −18370.5 10606.2i −0.265588 0.153337i 0.361293 0.932452i \(-0.382335\pi\)
−0.626881 + 0.779115i \(0.715669\pi\)
\(264\) −55832.0 15135.6i −0.801079 0.217166i
\(265\) −7613.92 13187.7i −0.108422 0.187792i
\(266\) −24574.9 + 91224.9i −0.347320 + 1.28929i
\(267\) 7104.05 + 4091.13i 0.0996514 + 0.0573880i
\(268\) 28638.5 49297.2i 0.398732 0.686361i
\(269\) 1106.24 0.0152878 0.00764389 0.999971i \(-0.497567\pi\)
0.00764389 + 0.999971i \(0.497567\pi\)
\(270\) −24260.0 + 24354.9i −0.332785 + 0.334086i
\(271\) 33038.3i 0.449861i 0.974375 + 0.224931i \(0.0722155\pi\)
−0.974375 + 0.224931i \(0.927784\pi\)
\(272\) −51490.8 + 88088.9i −0.695972 + 1.19065i
\(273\) −44739.1 + 77687.2i −0.600291 + 1.04238i
\(274\) 4865.25 18060.3i 0.0648043 0.240561i
\(275\) 42271.7 24405.6i 0.558964 0.322718i
\(276\) 41955.5 24134.3i 0.550771 0.316823i
\(277\) −14421.3 + 24978.4i −0.187951 + 0.325540i −0.944567 0.328319i \(-0.893518\pi\)
0.756616 + 0.653859i \(0.226851\pi\)
\(278\) −26354.0 + 26283.3i −0.341002 + 0.340088i
\(279\) −44619.8 25630.8i −0.573217 0.329271i
\(280\) 31017.6 + 31268.5i 0.395633 + 0.398833i
\(281\) −16062.9 + 27821.8i −0.203428 + 0.352348i −0.949631 0.313371i \(-0.898542\pi\)
0.746203 + 0.665719i \(0.231875\pi\)
\(282\) −73894.4 73930.6i −0.929209 0.929664i
\(283\) −61782.5 + 35670.2i −0.771424 + 0.445382i −0.833382 0.552697i \(-0.813599\pi\)
0.0619586 + 0.998079i \(0.480265\pi\)
\(284\) −44907.8 78267.2i −0.556782 0.970383i
\(285\) −42928.4 + 47.1322i −0.528512 + 0.000580267i
\(286\) −17652.4 66235.3i −0.215810 0.809762i
\(287\) 143795.i 1.74574i
\(288\) −80213.9 + 21105.4i −0.967085 + 0.254454i
\(289\) 75337.7 0.902021
\(290\) 29860.4 7958.12i 0.355058 0.0946268i
\(291\) 137161. 79390.6i 1.61973 0.937526i
\(292\) −76278.0 + 43766.5i −0.894609 + 0.513305i
\(293\) 18320.8 + 31732.5i 0.213407 + 0.369631i 0.952779 0.303666i \(-0.0982107\pi\)
−0.739372 + 0.673297i \(0.764877\pi\)
\(294\) −9371.50 35009.2i −0.108421 0.405030i
\(295\) 11815.1 + 6821.47i 0.135767 + 0.0783852i
\(296\) 72694.8 72111.6i 0.829698 0.823041i
\(297\) −36397.4 + 63524.4i −0.412627 + 0.720158i
\(298\) −69970.4 70158.5i −0.787920 0.790038i
\(299\) 49670.5 + 28677.3i 0.555593 + 0.320772i
\(300\) 35090.0 60555.5i 0.389889 0.672838i
\(301\) −65161.2 112863.i −0.719211 1.24571i
\(302\) −39432.4 10622.6i −0.432354 0.116471i
\(303\) −51883.0 + 30030.7i −0.565119 + 0.327099i
\(304\) −89423.2 52270.8i −0.967616 0.565603i
\(305\) 69808.6 0.750428
\(306\) 91391.5 + 91235.6i 0.976029 + 0.974365i
\(307\) 11668.1i 0.123801i 0.998082 + 0.0619005i \(0.0197161\pi\)
−0.998082 + 0.0619005i \(0.980284\pi\)
\(308\) 81108.6 + 47118.9i 0.854999 + 0.496699i
\(309\) 60781.5 66.7335i 0.636582 0.000698919i
\(310\) −28925.3 7792.15i −0.300992 0.0810837i
\(311\) −3755.11 + 2168.01i −0.0388242 + 0.0224151i −0.519286 0.854600i \(-0.673802\pi\)
0.480462 + 0.877015i \(0.340469\pi\)
\(312\) −69294.9 69702.1i −0.711856 0.716039i
\(313\) −43249.3 + 74909.9i −0.441459 + 0.764629i −0.997798 0.0663262i \(-0.978872\pi\)
0.556339 + 0.830955i \(0.312206\pi\)
\(314\) −81838.0 82058.1i −0.830034 0.832266i
\(315\) 48212.9 27977.1i 0.485895 0.281956i
\(316\) −51526.1 138.345i −0.516004 0.00138545i
\(317\) 12316.1 21332.1i 0.122562 0.212283i −0.798215 0.602372i \(-0.794222\pi\)
0.920777 + 0.390089i \(0.127556\pi\)
\(318\) −44914.7 12046.6i −0.444154 0.119127i
\(319\) 56997.9 32907.7i 0.560115 0.323383i
\(320\) −42010.7 + 23805.8i −0.410260 + 0.232478i
\(321\) 138.143 239.878i 0.00134066 0.00232799i
\(322\) −75838.5 + 20211.8i −0.731439 + 0.194936i
\(323\) 161265.i 1.54573i
\(324\) 179.168 + 104976.i 0.00170675 + 0.999999i
\(325\) 82933.2 0.785167
\(326\) −18270.0 68552.7i −0.171911 0.645044i
\(327\) 83383.8 + 48019.7i 0.779806 + 0.449080i
\(328\) 152112. + 41415.5i 1.41389 + 0.384960i
\(329\) 84748.5 + 146789.i 0.782961 + 1.35613i
\(330\) −11041.4 + 41166.7i −0.101390 + 0.378023i
\(331\) 162176. + 93632.3i 1.48023 + 0.854614i 0.999749 0.0223896i \(-0.00712742\pi\)
0.480485 + 0.877003i \(0.340461\pi\)
\(332\) 130507. + 350.405i 1.18402 + 0.00317903i
\(333\) −65042.7 112088.i −0.586557 1.01081i
\(334\) −116301. + 115989.i −1.04254 + 1.03974i
\(335\) −36378.6 21003.2i −0.324158 0.187152i
\(336\) 134496. + 574.568i 1.19133 + 0.00508935i
\(337\) 50479.6 + 87433.2i 0.444484 + 0.769868i 0.998016 0.0629592i \(-0.0200538\pi\)
−0.553532 + 0.832828i \(0.686720\pi\)
\(338\) 577.999 2145.60i 0.00505934 0.0187808i
\(339\) −98.9732 90145.6i −0.000861228 0.784414i
\(340\) 65005.3 + 37763.9i 0.562330 + 0.326677i
\(341\) −63800.3 −0.548674
\(342\) −92617.6 + 92775.8i −0.791847 + 0.793200i
\(343\) 81392.2i 0.691823i
\(344\) 138158. 36423.6i 1.16751 0.307798i
\(345\) −17865.0 30864.8i −0.150095 0.259314i
\(346\) 7237.18 26865.2i 0.0604529 0.224408i
\(347\) −151470. + 87451.5i −1.25797 + 0.726287i −0.972679 0.232155i \(-0.925422\pi\)
−0.285287 + 0.958442i \(0.592089\pi\)
\(348\) 47314.3 81651.2i 0.390691 0.674224i
\(349\) −21948.5 + 38015.9i −0.180199 + 0.312114i −0.941948 0.335758i \(-0.891008\pi\)
0.761749 + 0.647872i \(0.224341\pi\)
\(350\) −80355.9 + 80140.4i −0.655967 + 0.654208i
\(351\) −107522. + 62551.2i −0.872740 + 0.507717i
\(352\) −73205.0 + 72228.8i −0.590820 + 0.582941i
\(353\) −77789.6 + 134736.i −0.624270 + 1.08127i 0.364412 + 0.931238i \(0.381270\pi\)
−0.988682 + 0.150029i \(0.952063\pi\)
\(354\) 40245.3 10773.1i 0.321150 0.0859678i
\(355\) −57578.0 + 33242.7i −0.456878 + 0.263778i
\(356\) 12641.0 7253.07i 0.0997424 0.0572298i
\(357\) −104900. 181232.i −0.823072 1.42200i
\(358\) 1807.29 + 6781.30i 0.0141014 + 0.0529111i
\(359\) 184004.i 1.42771i −0.700295 0.713853i \(-0.746948\pi\)
0.700295 0.713853i \(-0.253052\pi\)
\(360\) 15709.0 + 59059.4i 0.121212 + 0.455705i
\(361\) −33386.7 −0.256188
\(362\) 169244. 45105.4i 1.29151 0.344200i
\(363\) −45.0092 40994.8i −0.000341577 0.311111i
\(364\) 79316.9 + 138237.i 0.598636 + 1.04333i
\(365\) 32397.8 + 56114.6i 0.243181 + 0.421202i
\(366\) 150777. 150703.i 1.12557 1.12502i
\(367\) 143674. + 82950.4i 1.06671 + 0.615866i 0.927281 0.374366i \(-0.122140\pi\)
0.139430 + 0.990232i \(0.455473\pi\)
\(368\) 462.064 86046.3i 0.00341198 0.635385i
\(369\) 99382.7 173012.i 0.729891 1.27064i
\(370\) −53275.2 53418.5i −0.389154 0.390201i
\(371\) 65302.9 + 37702.7i 0.474444 + 0.273920i
\(372\) −79296.4 + 45614.1i −0.573017 + 0.329620i
\(373\) −65160.0 112861.i −0.468343 0.811193i 0.531003 0.847370i \(-0.321815\pi\)
−0.999345 + 0.0361768i \(0.988482\pi\)
\(374\) 154601. + 41647.8i 1.10527 + 0.297748i
\(375\) −102150. 58827.1i −0.726403 0.418326i
\(376\) −179688. + 47372.4i −1.27099 + 0.335081i
\(377\) 111825. 0.786783
\(378\) 43736.1 164509.i 0.306095 1.15135i
\(379\) 43645.6i 0.303852i 0.988392 + 0.151926i \(0.0485475\pi\)
−0.988392 + 0.151926i \(0.951453\pi\)
\(380\) −38335.9 + 65990.0i −0.265484 + 0.456994i
\(381\) −72257.3 + 125471.i −0.497773 + 0.864359i
\(382\) 153431. + 41332.7i 1.05145 + 0.283248i
\(383\) −237186. + 136939.i −1.61693 + 0.933535i −0.629223 + 0.777225i \(0.716627\pi\)
−0.987708 + 0.156310i \(0.950040\pi\)
\(384\) −39345.2 + 142110.i −0.266827 + 0.963745i
\(385\) 34556.5 59853.6i 0.233135 0.403802i
\(386\) −59583.9 59744.1i −0.399902 0.400978i
\(387\) −397.077 180830.i −0.00265126 1.20740i
\(388\) 756.462 281741.i 0.00502486 1.87149i
\(389\) 122594. 212339.i 0.810159 1.40324i −0.102594 0.994723i \(-0.532714\pi\)
0.912753 0.408513i \(-0.133952\pi\)
\(390\) −51219.0 + 51194.0i −0.336746 + 0.336581i
\(391\) −116020. + 66984.5i −0.758894 + 0.438148i
\(392\) −62166.8 16926.2i −0.404563 0.110151i
\(393\) −188158. + 206.584i −1.21825 + 0.00133755i
\(394\) −109212. + 29106.2i −0.703524 + 0.187497i
\(395\) 37964.4i 0.243323i
\(396\) 65023.0 + 112750.i 0.414645 + 0.718998i
\(397\) −4252.39 −0.0269806 −0.0134903 0.999909i \(-0.504294\pi\)
−0.0134903 + 0.999909i \(0.504294\pi\)
\(398\) 24787.6 + 93007.8i 0.156483 + 0.587155i
\(399\) 183977. 106489.i 1.15563 0.668895i
\(400\) −61631.7 108086.i −0.385198 0.675535i
\(401\) −3665.61 6349.02i −0.0227959 0.0394837i 0.854402 0.519612i \(-0.173923\pi\)
−0.877198 + 0.480128i \(0.840590\pi\)
\(402\) −123914. + 33170.3i −0.766778 + 0.205257i
\(403\) −93877.9 54200.4i −0.578034 0.333728i
\(404\) −286.143 + 106573.i −0.00175315 + 0.652955i
\(405\) 77345.3 339.680i 0.471546 0.00207090i
\(406\) −108349. + 108059.i −0.657317 + 0.655554i
\(407\) −139151. 80339.0i −0.840036 0.484995i
\(408\) 221927. 58769.0i 1.33318 0.353043i
\(409\) 14207.0 + 24607.2i 0.0849289 + 0.147101i 0.905361 0.424643i \(-0.139600\pi\)
−0.820432 + 0.571744i \(0.806267\pi\)
\(410\) 30213.8 112157.i 0.179737 0.667204i
\(411\) −36423.0 + 21082.2i −0.215622 + 0.124805i
\(412\) 54279.1 93433.8i 0.319770 0.550440i
\(413\) −67557.2 −0.396070
\(414\) −105217. 28096.6i −0.613883 0.163928i
\(415\) 96157.5i 0.558325i
\(416\) −169077. + 44089.8i −0.977007 + 0.254772i
\(417\) 83745.5 91.9464i 0.481603 0.000528765i
\(418\) −42278.6 + 156943.i −0.241974 + 0.898233i
\(419\) 137256. 79245.0i 0.781816 0.451382i −0.0552577 0.998472i \(-0.517598\pi\)
0.837073 + 0.547091i \(0.184265\pi\)
\(420\) 157.270 99097.2i 0.000891551 0.561776i
\(421\) 142796. 247330.i 0.805659 1.39544i −0.110186 0.993911i \(-0.535145\pi\)
0.915845 0.401532i \(-0.131522\pi\)
\(422\) 164495. 164054.i 0.923693 0.921216i
\(423\) 516.438 + 235188.i 0.00288627 + 1.31442i
\(424\) −58691.8 + 58220.9i −0.326472 + 0.323853i
\(425\) −96857.7 + 167763.i −0.536237 + 0.928789i
\(426\) −52596.0 + 196099.i −0.289824 + 1.08058i
\(427\) −299366. + 172839.i −1.64190 + 0.947953i
\(428\) −244.910 426.839i −0.00133696 0.00233011i
\(429\) −76968.9 + 133653.i −0.418216 + 0.726212i
\(430\) −27110.0 101722.i −0.146620 0.550146i
\(431\) 115124.i 0.619741i −0.950779 0.309870i \(-0.899714\pi\)
0.950779 0.309870i \(-0.100286\pi\)
\(432\) 161427. + 93647.3i 0.864985 + 0.501797i
\(433\) 95600.5 0.509899 0.254950 0.966954i \(-0.417941\pi\)
0.254950 + 0.966954i \(0.417941\pi\)
\(434\) 143336. 38200.5i 0.760983 0.202810i
\(435\) −60253.7 34699.4i −0.318424 0.183376i
\(436\) 148373. 85133.0i 0.780517 0.447842i
\(437\) −67999.1 117778.i −0.356074 0.616738i
\(438\) 191115. + 51259.3i 0.996201 + 0.267192i
\(439\) 321749. + 185762.i 1.66951 + 0.963890i 0.967903 + 0.251322i \(0.0808654\pi\)
0.701603 + 0.712568i \(0.252468\pi\)
\(440\) 53362.6 + 53794.1i 0.275633 + 0.277862i
\(441\) −40616.8 + 70708.5i −0.208847 + 0.363576i
\(442\) 192104. + 192620.i 0.983313 + 0.985957i
\(443\) 119741. + 69132.2i 0.610146 + 0.352268i 0.773023 0.634379i \(-0.218744\pi\)
−0.162877 + 0.986646i \(0.552077\pi\)
\(444\) −230387. 365.630i −1.16867 0.00185471i
\(445\) −5369.03 9299.44i −0.0271129 0.0469609i
\(446\) −64353.2 17336.0i −0.323519 0.0871524i
\(447\) 244.776 + 222944.i 0.00122505 + 1.11578i
\(448\) 121217. 206103.i 0.603961 1.02690i
\(449\) 128427. 0.637035 0.318518 0.947917i \(-0.396815\pi\)
0.318518 + 0.947917i \(0.396815\pi\)
\(450\) −152072. + 40886.6i −0.750971 + 0.201909i
\(451\) 247384.i 1.21624i
\(452\) −138573. 80501.8i −0.678267 0.394030i
\(453\) 46030.3 + 79525.0i 0.224309 + 0.387532i
\(454\) −217289. 58535.0i −1.05421 0.283991i
\(455\) 101695. 58713.7i 0.491221 0.283607i
\(456\) 59659.2 + 225289.i 0.286911 + 1.08345i
\(457\) −146543. + 253819.i −0.701668 + 1.21532i 0.266213 + 0.963914i \(0.414227\pi\)
−0.967881 + 0.251410i \(0.919106\pi\)
\(458\) 6914.17 + 6932.76i 0.0329617 + 0.0330503i
\(459\) −957.032 290557.i −0.00454256 1.37913i
\(460\) −63399.4 170.224i −0.299619 0.000804463i
\(461\) −148067. + 256460.i −0.696717 + 1.20675i 0.272881 + 0.962048i \(0.412023\pi\)
−0.969598 + 0.244702i \(0.921310\pi\)
\(462\) −54575.0 203876.i −0.255688 0.955174i
\(463\) 307165. 177342.i 1.43288 0.827273i 0.435539 0.900170i \(-0.356558\pi\)
0.997339 + 0.0728974i \(0.0232246\pi\)
\(464\) −83102.4 145739.i −0.385991 0.676925i
\(465\) 33765.1 + 58334.9i 0.156157 + 0.269788i
\(466\) 297501. 79287.2i 1.36999 0.365116i
\(467\) 116644.i 0.534848i 0.963579 + 0.267424i \(0.0861724\pi\)
−0.963579 + 0.267424i \(0.913828\pi\)
\(468\) −108.161 + 221144.i −0.000493831 + 1.00968i
\(469\) 208007. 0.945656
\(470\) 35259.2 + 132299.i 0.159616 + 0.598911i
\(471\) 286.292 + 260757.i 0.00129053 + 1.17542i
\(472\) 19457.7 71464.7i 0.0873389 0.320780i
\(473\) −112103. 194168.i −0.501066 0.867872i
\(474\) 81957.8 + 81997.9i 0.364782 + 0.364961i
\(475\) −170304. 98324.9i −0.754809 0.435789i
\(476\) −372268. 999.522i −1.64302 0.00441142i
\(477\) 52513.7 + 90496.9i 0.230800 + 0.397738i
\(478\) 73804.1 73606.2i 0.323017 0.322151i
\(479\) 90134.6 + 52039.3i 0.392845 + 0.226809i 0.683392 0.730052i \(-0.260504\pi\)
−0.290547 + 0.956861i \(0.593837\pi\)
\(480\) 104784. + 28708.2i 0.454790 + 0.124602i
\(481\) −136501. 236427.i −0.589992 1.02190i
\(482\) −29132.5 + 108143.i −0.125396 + 0.465484i
\(483\) 153031. + 88128.4i 0.655970 + 0.377765i
\(484\) −63017.5 36609.1i −0.269011 0.156278i
\(485\) −207587. −0.882503
\(486\) 166322. 167707.i 0.704168 0.710033i
\(487\) 101284.i 0.427055i 0.976937 + 0.213527i \(0.0684953\pi\)
−0.976937 + 0.213527i \(0.931505\pi\)
\(488\) −96613.2 366462.i −0.405692 1.53883i
\(489\) −79661.9 + 138329.i −0.333145 + 0.578490i
\(490\) −12348.1 + 45837.6i −0.0514291 + 0.190911i
\(491\) 151749. 87612.6i 0.629454 0.363416i −0.151086 0.988521i \(-0.548277\pi\)
0.780541 + 0.625105i \(0.214944\pi\)
\(492\) −176867. 307469.i −0.730664 1.27020i
\(493\) −130600. + 226206.i −0.537341 + 0.930701i
\(494\) −195538. + 195014.i −0.801268 + 0.799119i
\(495\) 82945.3 48131.6i 0.338518 0.196436i
\(496\) −873.306 + 162628.i −0.00354979 + 0.661048i
\(497\) 164611. 285115.i 0.666418 1.15427i
\(498\) −207585. 207687.i −0.837024 0.837433i
\(499\) 83227.2 48051.2i 0.334244 0.192976i −0.323480 0.946235i \(-0.604853\pi\)
0.657724 + 0.753259i \(0.271519\pi\)
\(500\) −181766. + 104293.i −0.727066 + 0.417173i
\(501\) 369572. 405.763i 1.47239 0.00161658i
\(502\) −20377.7 76461.1i −0.0808627 0.303412i
\(503\) 164729.i 0.651080i 0.945528 + 0.325540i \(0.105546\pi\)
−0.945528 + 0.325540i \(0.894454\pi\)
\(504\) −213592. 214376.i −0.840860 0.843946i
\(505\) 78522.7 0.307902
\(506\) −130472. + 34772.3i −0.509586 + 0.135810i
\(507\) −4327.12 + 2504.60i −0.0168338 + 0.00974367i
\(508\) 128103. + 223264.i 0.496401 + 0.865148i
\(509\) 42970.1 + 74426.4i 0.165856 + 0.287271i 0.936959 0.349440i \(-0.113628\pi\)
−0.771103 + 0.636710i \(0.780295\pi\)
\(510\) −43739.7 163399.i −0.168165 0.628214i
\(511\) −277869. 160428.i −1.06414 0.614380i
\(512\) 183111. + 187590.i 0.698512 + 0.715598i
\(513\) 294958. 971.528i 1.12079 0.00369165i
\(514\) 218270. + 218857.i 0.826166 + 0.828388i
\(515\) −68948.9 39807.7i −0.259964 0.150090i
\(516\) −278152. 161180.i −1.04468 0.605358i
\(517\) 145801. + 252535.i 0.545481 + 0.944800i
\(518\) 360724. + 97174.9i 1.34436 + 0.362155i
\(519\) −54180.2 + 31360.3i −0.201143 + 0.116425i
\(520\) 32819.6 + 124488.i 0.121374 + 0.460383i
\(521\) −173047. −0.637514 −0.318757 0.947836i \(-0.603265\pi\)
−0.318757 + 0.947836i \(0.603265\pi\)
\(522\) −205049. + 55130.3i −0.752517 + 0.202325i
\(523\) 252188.i 0.921978i 0.887406 + 0.460989i \(0.152505\pi\)
−0.887406 + 0.460989i \(0.847495\pi\)
\(524\) −168029. + 289238.i −0.611958 + 1.05340i
\(525\) 255348. 280.353i 0.926433 0.00101716i
\(526\) 81928.8 + 22070.7i 0.296118 + 0.0797709i
\(527\) 219280. 126601.i 0.789547 0.455845i
\(528\) 231387. + 988.483i 0.829986 + 0.00354570i
\(529\) −83431.1 + 144507.i −0.298137 + 0.516389i
\(530\) 43013.0 + 43128.6i 0.153126 + 0.153537i
\(531\) −81284.0 46691.6i −0.288281 0.165596i
\(532\) 1014.66 377907.i 0.00358508 1.33525i
\(533\) 210161. 364009.i 0.739770 1.28132i
\(534\) −31672.0 8494.80i −0.111069 0.0297900i
\(535\) −314.008 + 181.293i −0.00109707 + 0.000633393i
\(536\) −59910.0 + 220038.i −0.208530 + 0.765894i
\(537\) 7880.23 13683.6i 0.0273269 0.0474518i
\(538\) −4275.71 + 1139.52i −0.0147722 + 0.00393694i
\(539\) 101104.i 0.348008i
\(540\) 68679.5 119124.i 0.235526 0.408518i
\(541\) −472358. −1.61390 −0.806950 0.590620i \(-0.798883\pi\)
−0.806950 + 0.590620i \(0.798883\pi\)
\(542\) −34032.3 127696.i −0.115849 0.434688i
\(543\) −341509. 196671.i −1.15825 0.667022i
\(544\) 108277. 393512.i 0.365881 1.32972i
\(545\) −63019.0 109152.i −0.212167 0.367485i
\(546\) 92895.9 346353.i 0.311610 1.16181i
\(547\) −332881. 192189.i −1.11254 0.642323i −0.173051 0.984913i \(-0.555362\pi\)
−0.939485 + 0.342590i \(0.888696\pi\)
\(548\) −200.879 + 74816.5i −0.000668918 + 0.249136i
\(549\) −479650. + 1053.24i −1.59140 + 0.00349449i
\(550\) −138244. + 137873.i −0.457005 + 0.455779i
\(551\) −229632. 132578.i −0.756362 0.436686i
\(552\) −137301. + 136499.i −0.450605 + 0.447973i
\(553\) −93996.3 162806.i −0.307369 0.532379i
\(554\) 30009.5 111399.i 0.0977777 0.362962i
\(555\) 186.371 + 169749.i 0.000605053 + 0.551087i
\(556\) 74786.4 128734.i 0.241921 0.416433i
\(557\) −19803.1 −0.0638297 −0.0319148 0.999491i \(-0.510161\pi\)
−0.0319148 + 0.999491i \(0.510161\pi\)
\(558\) 198862. + 53102.9i 0.638679 + 0.170549i
\(559\) 380940.i 1.21908i
\(560\) −152095. 88904.6i −0.484997 0.283497i
\(561\) −180469. 311791.i −0.573426 0.990689i
\(562\) 33425.7 124080.i 0.105830 0.392851i
\(563\) 132566. 76536.8i 0.418229 0.241465i −0.276090 0.961132i \(-0.589039\pi\)
0.694319 + 0.719667i \(0.255706\pi\)
\(564\) 361764. + 209631.i 1.13728 + 0.659017i
\(565\) −59039.2 + 102259.i −0.184945 + 0.320335i
\(566\) 202052. 201510.i 0.630710 0.629019i
\(567\) −330846. + 192956.i −1.02910 + 0.600195i
\(568\) 254195. + 256251.i 0.787898 + 0.794271i
\(569\) 25955.5 44956.2i 0.0801687 0.138856i −0.823154 0.567819i \(-0.807787\pi\)
0.903322 + 0.428963i \(0.141121\pi\)
\(570\) 165874. 44402.2i 0.510537 0.136664i
\(571\) 92961.9 53671.6i 0.285123 0.164616i −0.350617 0.936519i \(-0.614028\pi\)
0.635741 + 0.771903i \(0.280695\pi\)
\(572\) 136456. + 237822.i 0.417063 + 0.726874i
\(573\) −179104. 309432.i −0.545501 0.942444i
\(574\) 148121. + 555780.i 0.449566 + 1.68686i
\(575\) 163364.i 0.494108i
\(576\) 288293. 164202.i 0.868940 0.494917i
\(577\) −114098. −0.342710 −0.171355 0.985209i \(-0.554814\pi\)
−0.171355 + 0.985209i \(0.554814\pi\)
\(578\) −291187. + 77604.5i −0.871598 + 0.232290i
\(579\) 208.441 + 189850.i 0.000621764 + 0.566308i
\(580\) −107216. + 61517.7i −0.318714 + 0.182871i
\(581\) 238077. + 412361.i 0.705285 + 1.22159i
\(582\) −448359. + 448139.i −1.32367 + 1.32302i
\(583\) 112347. + 64863.5i 0.330540 + 0.190837i
\(584\) 249738. 247734.i 0.732249 0.726374i
\(585\) 162938. 357.788i 0.476113 0.00104547i
\(586\) −103499. 103777.i −0.301397 0.302208i
\(587\) 45237.1 + 26117.7i 0.131286 + 0.0757980i 0.564205 0.825635i \(-0.309183\pi\)
−0.432919 + 0.901433i \(0.642516\pi\)
\(588\) 72284.2 + 125660.i 0.209069 + 0.363448i
\(589\) 128519. + 222602.i 0.370456 + 0.641649i
\(590\) −52693.3 14195.0i −0.151374 0.0407784i
\(591\) 220374. + 126910.i 0.630935 + 0.363348i
\(592\) −206691. + 353600.i −0.589763 + 1.00895i
\(593\) 277354. 0.788724 0.394362 0.918955i \(-0.370966\pi\)
0.394362 + 0.918955i \(0.370966\pi\)
\(594\) 75243.4 283020.i 0.213253 0.802130i
\(595\) 274287.i 0.774767i
\(596\) 342711. + 199093.i 0.964797 + 0.560485i
\(597\) 108080. 187676.i 0.303247 0.526574i
\(598\) −221521. 59675.3i −0.619460 0.166875i
\(599\) −16547.3 + 9553.58i −0.0461183 + 0.0266264i −0.522882 0.852405i \(-0.675143\pi\)
0.476764 + 0.879032i \(0.341810\pi\)
\(600\) −73248.4 + 270198.i −0.203468 + 0.750550i
\(601\) 209446. 362771.i 0.579861 1.00435i −0.415634 0.909532i \(-0.636440\pi\)
0.995495 0.0948161i \(-0.0302263\pi\)
\(602\) 368112. + 369102.i 1.01575 + 1.01848i
\(603\) 250272. + 143763.i 0.688299 + 0.395377i
\(604\) 163352. + 438.593i 0.447765 + 0.00120223i
\(605\) −26848.8 + 46503.4i −0.0733522 + 0.127050i
\(606\) 169598. 169515.i 0.461823 0.461598i
\(607\) −331153. + 191191.i −0.898776 + 0.518909i −0.876803 0.480850i \(-0.840328\pi\)
−0.0219735 + 0.999759i \(0.506995\pi\)
\(608\) 399472. + 109917.i 1.08064 + 0.297344i
\(609\) 344304. 378.020i 0.928341 0.00101925i
\(610\) −269816. + 71909.0i −0.725118 + 0.193252i
\(611\) 495450.i 1.32714i
\(612\) −447217. 258493.i −1.19403 0.690153i
\(613\) −210852. −0.561121 −0.280560 0.959836i \(-0.590520\pi\)
−0.280560 + 0.959836i \(0.590520\pi\)
\(614\) −12019.2 45098.3i −0.0318815 0.119625i
\(615\) −226192. + 130923.i −0.598035 + 0.346152i
\(616\) −362029. 98569.7i −0.954073 0.259766i
\(617\) −313290. 542634.i −0.822955 1.42540i −0.903472 0.428647i \(-0.858990\pi\)
0.0805170 0.996753i \(-0.474343\pi\)
\(618\) −234857. + 62868.2i −0.614931 + 0.164609i
\(619\) −35684.5 20602.5i −0.0931319 0.0537697i 0.452711 0.891657i \(-0.350457\pi\)
−0.545843 + 0.837888i \(0.683790\pi\)
\(620\) 119825. + 321.726i 0.311721 + 0.000836956i
\(621\) 123215. + 211801.i 0.319508 + 0.549218i
\(622\) 12280.6 12247.7i 0.0317423 0.0316572i
\(623\) 46049.0 + 26586.4i 0.118644 + 0.0684989i
\(624\) 339630. + 198025.i 0.872242 + 0.508570i
\(625\) −74680.7 129351.i −0.191183 0.331138i
\(626\) 89998.5 334084.i 0.229661 0.852525i
\(627\) 316513. 183203.i 0.805113 0.466012i
\(628\) 400838. + 232861.i 1.01637 + 0.590443i
\(629\) 637678. 1.61176
\(630\) −157528. + 157797.i −0.396897 + 0.397575i
\(631\) 150814.i 0.378777i 0.981902 + 0.189389i \(0.0606506\pi\)
−0.981902 + 0.189389i \(0.939349\pi\)
\(632\) 199296. 52541.7i 0.498958 0.131544i
\(633\) −522718. + 573.906i −1.30455 + 0.00143230i
\(634\) −25628.9 + 95137.3i −0.0637605 + 0.236686i
\(635\) 164246. 94827.4i 0.407331 0.235172i
\(636\) 186008. + 295.200i 0.459852 + 0.000729796i
\(637\) −85890.8 + 148767.i −0.211674 + 0.366630i
\(638\) −186404. + 185904.i −0.457946 + 0.456718i
\(639\) 395113. 229277.i 0.967654 0.561512i
\(640\) 137853. 135286.i 0.336555 0.330288i
\(641\) −214189. + 370987.i −0.521293 + 0.902906i 0.478400 + 0.878142i \(0.341217\pi\)
−0.999693 + 0.0247640i \(0.992117\pi\)
\(642\) −286.839 + 1069.45i −0.000695933 + 0.00259472i
\(643\) −74279.9 + 42885.5i −0.179659 + 0.103726i −0.587133 0.809491i \(-0.699743\pi\)
0.407473 + 0.913217i \(0.366410\pi\)
\(644\) 272303. 156241.i 0.656569 0.376723i
\(645\) −118206. + 205260.i −0.284133 + 0.493383i
\(646\) −166117. 623304.i −0.398061 1.49360i
\(647\) 128368.i 0.306653i −0.988176 0.153327i \(-0.951001\pi\)
0.988176 0.153327i \(-0.0489986\pi\)
\(648\) −108827. 405557.i −0.259171 0.965831i
\(649\) −116225. −0.275937
\(650\) −320544. + 85428.6i −0.758685 + 0.202198i
\(651\) −289230. 166564.i −0.682465 0.393023i
\(652\) 141231. + 246143.i 0.332226 + 0.579018i
\(653\) 232940. + 403463.i 0.546282 + 0.946189i 0.998525 + 0.0542939i \(0.0172908\pi\)
−0.452243 + 0.891895i \(0.649376\pi\)
\(654\) −371751. 99707.7i −0.869153 0.233117i
\(655\) 213442. + 123231.i 0.497504 + 0.287234i
\(656\) −630587. 3386.22i −1.46534 0.00786878i
\(657\) −223450. 385071.i −0.517666 0.892094i
\(658\) −478766. 480053.i −1.10579 1.10876i
\(659\) −303989. 175508.i −0.699983 0.404135i 0.107358 0.994220i \(-0.465761\pi\)
−0.807341 + 0.590085i \(0.799094\pi\)
\(660\) 270.566 170486.i 0.000621134 0.391383i
\(661\) 141131. + 244446.i 0.323013 + 0.559475i 0.981108 0.193460i \(-0.0619709\pi\)
−0.658095 + 0.752935i \(0.728638\pi\)
\(662\) −723274. 194842.i −1.65039 0.444597i
\(663\) −672.033 612093.i −0.00152884 1.39248i
\(664\) −504782. + 133079.i −1.14490 + 0.301838i
\(665\) −278442. −0.629638
\(666\) 366857. + 366231.i 0.827081 + 0.825671i
\(667\) 220276.i 0.495125i
\(668\) 330035. 568110.i 0.739618 1.27315i
\(669\) 75120.8 + 129784.i 0.167845 + 0.289980i
\(670\) 162242. + 43706.0i 0.361420 + 0.0973625i
\(671\) −515029. + 297352.i −1.14390 + 0.660428i
\(672\) −520432. + 136322.i −1.15246 + 0.301876i
\(673\) 398590. 690378.i 0.880028 1.52425i 0.0287190 0.999588i \(-0.490857\pi\)
0.851309 0.524665i \(-0.175809\pi\)
\(674\) −285172. 285939.i −0.627751 0.629438i
\(675\) 307425. + 176145.i 0.674733 + 0.386600i
\(676\) −23.8647 + 8888.32i −5.22231e−5 + 0.0194503i
\(677\) −140673. + 243653.i −0.306926 + 0.531612i −0.977688 0.210061i \(-0.932634\pi\)
0.670762 + 0.741673i \(0.265967\pi\)
\(678\) 93240.5 + 348319.i 0.202836 + 0.757735i
\(679\) 890213. 513965.i 1.93088 1.11479i
\(680\) −290151. 78999.7i −0.627490 0.170847i
\(681\) 253645. + 438215.i 0.546931 + 0.944915i
\(682\) 246594. 65720.0i 0.530168 0.141296i
\(683\) 687094.i 1.47291i −0.676489 0.736453i \(-0.736499\pi\)
0.676489 0.736453i \(-0.263501\pi\)
\(684\) 262408. 453991.i 0.560874 0.970365i
\(685\) 55124.8 0.117480
\(686\) 83841.2 + 314588.i 0.178160 + 0.668489i
\(687\) −24.1877 22030.3i −5.12484e−5 0.0466775i
\(688\) −496473. + 283095.i −1.04886 + 0.598075i
\(689\) 110207. + 190884.i 0.232152 + 0.402098i
\(690\) 100843. + 100893.i 0.211812 + 0.211915i
\(691\) 284957. + 164520.i 0.596792 + 0.344558i 0.767779 0.640715i \(-0.221362\pi\)
−0.170986 + 0.985273i \(0.554695\pi\)
\(692\) −298.812 + 111291.i −0.000624002 + 0.232407i
\(693\) −236532. + 411772.i −0.492520 + 0.857413i
\(694\) 495364. 494036.i 1.02850 1.02574i
\(695\) −94998.8 54847.6i −0.196675 0.113550i
\(696\) −98765.9 + 364327.i −0.203887 + 0.752095i
\(697\) 490893. + 850252.i 1.01047 + 1.75018i
\(698\) 45673.1 169544.i 0.0937453 0.347993i
\(699\) −600311. 345712.i −1.22863 0.707554i
\(700\) 228031. 392524.i 0.465369 0.801069i
\(701\) −961471. −1.95659 −0.978296 0.207214i \(-0.933560\pi\)
−0.978296 + 0.207214i \(0.933560\pi\)
\(702\) 351150. 352523.i 0.712556 0.715342i
\(703\) 647338.i 1.30985i
\(704\) 208542. 354578.i 0.420773 0.715429i
\(705\) 153739. 266960.i 0.309318 0.537116i
\(706\) 161874. 600895.i 0.324764 1.20556i
\(707\) −336736. + 194415.i −0.673676 + 0.388947i
\(708\) −144454. + 83095.3i −0.288180 + 0.165772i
\(709\) 299138. 518122.i 0.595085 1.03072i −0.398450 0.917190i \(-0.630452\pi\)
0.993535 0.113528i \(-0.0362151\pi\)
\(710\) 188301. 187796.i 0.373540 0.372538i
\(711\) −572.792 260851.i −0.00113307 0.516005i
\(712\) −41387.1 + 41055.1i −0.0816404 + 0.0809854i
\(713\) −106766. + 184923.i −0.210016 + 0.363758i
\(714\) 592132. + 592422.i 1.16151 + 1.16208i
\(715\) 174956. 101011.i 0.342229 0.197586i
\(716\) −13970.7 24348.7i −0.0272516 0.0474951i
\(717\) −234529. + 257.495i −0.456202 + 0.000500876i
\(718\) 189541. + 711193.i 0.367666 + 1.37955i
\(719\) 608601.i 1.17727i 0.808400 + 0.588633i \(0.200334\pi\)
−0.808400 + 0.588633i \(0.799666\pi\)
\(720\) −121553. 212088.i −0.234478 0.409121i
\(721\) 394240. 0.758385
\(722\) 129043. 34391.3i 0.247548 0.0659742i
\(723\) 218097. 126238.i 0.417227 0.241498i
\(724\) −607681. + 348673.i −1.15931 + 0.665183i
\(725\) −159256. 275840.i −0.302985 0.524785i
\(726\) 42402.2 + 158402.i 0.0804480 + 0.300530i
\(727\) −396978. 229195.i −0.751100 0.433648i 0.0749911 0.997184i \(-0.476107\pi\)
−0.826091 + 0.563536i \(0.809440\pi\)
\(728\) −448963. 452594.i −0.847125 0.853976i
\(729\) −531429. + 3500.87i −0.999978 + 0.00658750i
\(730\) −183023. 183515.i −0.343448 0.344371i
\(731\) 770590. + 444900.i 1.44208 + 0.832584i
\(732\) −427528. + 737794.i −0.797890 + 1.37693i
\(733\) −35347.8 61224.2i −0.0657892 0.113950i 0.831255 0.555892i \(-0.187623\pi\)
−0.897044 + 0.441942i \(0.854290\pi\)
\(734\) −640760. 172614.i −1.18933 0.320393i
\(735\) 92442.7 53507.2i 0.171119 0.0990462i
\(736\) 86849.4 + 333053.i 0.160329 + 0.614833i
\(737\) 357855. 0.658828
\(738\) −205905. + 771080.i −0.378055 + 1.41575i
\(739\) 476430.i 0.872390i 0.899852 + 0.436195i \(0.143674\pi\)
−0.899852 + 0.436195i \(0.856326\pi\)
\(740\) 260939. + 151589.i 0.476514 + 0.276824i
\(741\) 621365. 682.212i 1.13164 0.00124246i
\(742\) −291239. 78456.4i −0.528982 0.142502i
\(743\) 109137. 63010.2i 0.197694 0.114139i −0.397885 0.917435i \(-0.630256\pi\)
0.595579 + 0.803296i \(0.296922\pi\)
\(744\) 259501. 257985.i 0.468806 0.466067i
\(745\) 146013. 252902.i 0.263074 0.455658i
\(746\) 368106. + 369095.i 0.661447 + 0.663225i
\(747\) 1450.78 + 660692.i 0.00259993 + 1.18402i
\(748\) −640448. 1719.57i −1.14467 0.00307339i
\(749\) 897.727 1554.91i 0.00160022 0.00277167i
\(750\) 455417. + 122148.i 0.809631 + 0.217152i
\(751\) −176908. + 102138.i −0.313667 + 0.181096i −0.648566 0.761158i \(-0.724631\pi\)
0.334899 + 0.942254i \(0.391298\pi\)
\(752\) 645712. 368193.i 1.14184 0.651089i
\(753\) −88851.9 + 154287.i −0.156703 + 0.272107i
\(754\) −432212. + 115189.i −0.760247 + 0.202614i
\(755\) 120358.i 0.211145i
\(756\) 414.547 + 680893.i 0.000725321 + 1.19134i
\(757\) 588244. 1.02652 0.513258 0.858235i \(-0.328438\pi\)
0.513258 + 0.858235i \(0.328438\pi\)
\(758\) −44958.8 168694.i −0.0782485 0.293603i
\(759\) 263273. + 151616.i 0.457007 + 0.263185i
\(760\) 80196.3 294546.i 0.138844 0.509949i
\(761\) 25368.8 + 43940.0i 0.0438056 + 0.0758736i 0.887097 0.461583i \(-0.152718\pi\)
−0.843291 + 0.537457i \(0.819385\pi\)
\(762\) 150034. 559389.i 0.258393 0.963394i
\(763\) 540501. + 312058.i 0.928426 + 0.536027i