Properties

Label 36.5.f.a.7.13
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 7.13
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.04046 + 3.86231i) q^{2} +(-7.79916 - 4.49144i) q^{3} +(-13.8349 + 8.03717i) q^{4} +(-5.89438 - 10.2094i) q^{5} +(9.23260 - 34.7960i) q^{6} +(-50.5548 - 29.1878i) q^{7} +(-45.4367 - 45.0722i) q^{8} +(40.6539 + 70.0590i) q^{9} +O(q^{10})\) \(q+(1.04046 + 3.86231i) q^{2} +(-7.79916 - 4.49144i) q^{3} +(-13.8349 + 8.03717i) q^{4} +(-5.89438 - 10.2094i) q^{5} +(9.23260 - 34.7960i) 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} +(143.999 - 0.544732i) q^{12} +(85.3178 + 147.775i) q^{13} +(60.1321 - 225.627i) q^{14} +(0.116489 + 106.099i) q^{15} +(126.808 - 222.387i) q^{16} -398.571 q^{17} +(-228.291 + 229.912i) q^{18} +404.608i q^{19} +(163.602 + 93.8711i) q^{20} +(263.190 + 454.704i) q^{21} +(103.451 - 388.168i) q^{22} +(-291.091 + 168.062i) q^{23} +(151.929 + 555.602i) 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} +(-409.665 + 110.842i) q^{30} +(550.166 - 317.638i) q^{31} +(990.865 + 258.386i) q^{32} +(452.791 + 782.271i) q^{33} +(-414.698 - 1539.40i) q^{34} +688.176i q^{35} +(-1125.52 - 642.514i) q^{36} -1599.91 q^{37} +(-1562.72 + 420.979i) q^{38} +(-1.68611 - 1535.72i) q^{39} +(-192.337 + 729.553i) q^{40} +(-1231.63 - 2133.25i) q^{41} +(-1482.37 + 1489.62i) 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} +(-1987.83 + 1164.88i) q^{48} +(503.358 + 871.842i) q^{49} +(1878.53 + 500.649i) q^{50} +(3108.52 + 1790.16i) q^{51} +(-2368.05 - 1358.73i) q^{52} +1291.73 q^{53} +(2813.11 - 767.767i) q^{54} +1183.94i q^{55} +(981.485 + 3604.82i) q^{56} +(1817.27 - 3155.61i) q^{57} +(2532.96 + 675.060i) q^{58} +(1002.24 - 578.642i) q^{59} +(-854.346 - 1466.93i) 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} +(-2550.26 + 2562.74i) q^{66} +(-3085.87 + 1781.63i) q^{67} +(5514.18 - 3203.38i) q^{68} +(3025.11 - 3.32134i) q^{69} +(-2657.95 + 716.021i) q^{70} +5639.73i q^{71} +(1310.53 - 5015.61i) q^{72} -5496.39 q^{73} +(-1664.65 - 6179.36i) q^{74} +(-3785.79 + 2191.27i) q^{75} +(-3251.91 - 5597.70i) q^{76} +(2931.31 + 5077.18i) q^{77} +(5929.67 - 1604.37i) 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} +(-7295.74 - 4175.48i) q^{84} +(2349.33 + 4069.15i) q^{85} +(-2299.65 + 8628.73i) q^{86} +(-5104.64 + 2954.64i) q^{87} +(1688.54 + 6201.71i) q^{88} +910.873 q^{89} +(3692.88 + 975.514i) q^{90} -9960.97i q^{91} +(2676.47 - 4664.66i) q^{92} +(-5717.49 + 6.27738i) q^{93} +(2990.92 - 11222.5i) q^{94} +(4130.79 - 2384.91i) q^{95} +(-6567.39 - 6465.60i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.04046 + 3.86231i 0.260116 + 0.965577i
\(3\) −7.79916 4.49144i −0.866574 0.499049i
\(4\) −13.8349 + 8.03717i −0.864680 + 0.502323i
\(5\) −5.89438 10.2094i −0.235775 0.408374i 0.723723 0.690091i \(-0.242430\pi\)
−0.959498 + 0.281717i \(0.909096\pi\)
\(6\) 9.23260 34.7960i 0.256461 0.966555i
\(7\) −50.5548 29.1878i −1.03173 0.595670i −0.114251 0.993452i \(-0.536447\pi\)
−0.917480 + 0.397782i \(0.869780\pi\)
\(8\) −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 0.0955138 0.995428i \(-0.469551\pi\)
−0.814309 + 0.580431i \(0.802884\pi\)
\(12\) 143.999 0.544732i 0.999993 0.00378286i
\(13\) 85.3178 + 147.775i 0.504839 + 0.874407i 0.999984 + 0.00559684i \(0.00178154\pi\)
−0.495145 + 0.868810i \(0.664885\pi\)
\(14\) 60.1321 225.627i 0.306796 1.15116i
\(15\) 0.116489 + 106.099i 0.000517727 + 0.471550i
\(16\) 126.808 222.387i 0.495342 0.868698i
\(17\) −398.571 −1.37914 −0.689569 0.724220i \(-0.742200\pi\)
−0.689569 + 0.724220i \(0.742200\pi\)
\(18\) −228.291 + 229.912i −0.704600 + 0.709604i
\(19\) 404.608i 1.12080i 0.828223 + 0.560399i \(0.189352\pi\)
−0.828223 + 0.560399i \(0.810648\pi\)
\(20\) 163.602 + 93.8711i 0.409006 + 0.234678i
\(21\) 263.190 + 454.704i 0.596802 + 1.03108i
\(22\) 103.451 388.168i 0.213742 0.802000i
\(23\) −291.091 + 168.062i −0.550267 + 0.317697i −0.749230 0.662310i \(-0.769576\pi\)
0.198963 + 0.980007i \(0.436243\pi\)
\(24\) 151.929 + 555.602i 0.263766 + 0.964587i
\(25\) 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 \(0.0392728\pi\)
\(30\) −409.665 + 110.842i −0.455183 + 0.123157i
\(31\) 550.166 317.638i 0.572493 0.330529i −0.185651 0.982616i \(-0.559440\pi\)
0.758144 + 0.652087i \(0.226106\pi\)
\(32\) 990.865 + 258.386i 0.967641 + 0.252330i
\(33\) 452.791 + 782.271i 0.415786 + 0.718339i
\(34\) −414.698 1539.40i −0.358735 1.33166i
\(35\) 688.176i 0.561776i
\(36\) −1125.52 642.514i −0.868455 0.495767i
\(37\) −1599.91 −1.16867 −0.584336 0.811512i \(-0.698645\pi\)
−0.584336 + 0.811512i \(0.698645\pi\)
\(38\) −1562.72 + 420.979i −1.08222 + 0.291537i
\(39\) −1.68611 1535.72i −0.00110855 1.00968i
\(40\) −192.337 + 729.553i −0.120211 + 0.455970i
\(41\) −1231.63 2133.25i −0.732679 1.26904i −0.955734 0.294232i \(-0.904936\pi\)
0.223055 0.974806i \(-0.428397\pi\)
\(42\) −1482.37 + 1489.62i −0.840346 + 0.844458i
\(43\) 1933.38 + 1116.24i 1.04564 + 0.603699i 0.921425 0.388557i \(-0.127026\pi\)
0.124212 + 0.992256i \(0.460360\pi\)
\(44\) 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 −0.192308 0.981335i \(-0.561597\pi\)
−0.946015 + 0.324124i \(0.894931\pi\)
\(48\) −1987.83 + 1164.88i −0.862773 + 0.505591i
\(49\) 503.358 + 871.842i 0.209645 + 0.363116i
\(50\) 1878.53 + 500.649i 0.751412 + 0.200260i
\(51\) 3108.52 + 1790.16i 1.19512 + 0.688257i
\(52\) −2368.05 1358.73i −0.875759 0.502490i
\(53\) 1291.73 0.459852 0.229926 0.973208i \(-0.426152\pi\)
0.229926 + 0.973208i \(0.426152\pi\)
\(54\) 2813.11 767.767i 0.964715 0.263295i
\(55\) 1183.94i 0.391384i
\(56\) 981.485 + 3604.82i 0.312973 + 1.14949i
\(57\) 1817.27 3155.61i 0.559333 0.971254i
\(58\) 2532.96 + 675.060i 0.752959 + 0.200672i
\(59\) 1002.24 578.642i 0.287917 0.166229i −0.349085 0.937091i \(-0.613508\pi\)
0.637002 + 0.770862i \(0.280174\pi\)
\(60\) −854.346 1466.93i −0.237318 0.407480i
\(61\) −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
\(66\) −2550.26 + 2562.74i −0.585460 + 0.588324i
\(67\) −3085.87 + 1781.63i −0.687430 + 0.396888i −0.802648 0.596452i \(-0.796576\pi\)
0.115219 + 0.993340i \(0.463243\pi\)
\(68\) 5514.18 3203.38i 1.19251 0.692773i
\(69\) 3025.11 3.32134i 0.635393 0.000697615i
\(70\) −2657.95 + 716.021i −0.542439 + 0.146127i
\(71\) 5639.73i 1.11877i 0.828907 + 0.559386i \(0.188963\pi\)
−0.828907 + 0.559386i \(0.811037\pi\)
\(72\) 1310.53 5015.61i 0.252803 0.967518i
\(73\) −5496.39 −1.03141 −0.515705 0.856766i \(-0.672470\pi\)
−0.515705 + 0.856766i \(0.672470\pi\)
\(74\) −1664.65 6179.36i −0.303990 1.12844i
\(75\) −3785.79 + 2191.27i −0.673029 + 0.389559i
\(76\) −3251.91 5597.70i −0.563003 0.969132i
\(77\) 2931.31 + 5077.18i 0.494402 + 0.856329i
\(78\) 5929.67 1604.37i 0.974634 0.263703i
\(79\) 2788.94 + 1610.20i 0.446874 + 0.258003i 0.706509 0.707704i \(-0.250269\pi\)
−0.259635 + 0.965707i \(0.583602\pi\)
\(80\) −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 −0.109730 0.993961i \(-0.534999\pi\)
−0.915661 + 0.401951i \(0.868332\pi\)
\(84\) −7295.74 4175.48i −1.03398 0.591763i
\(85\) 2349.33 + 4069.15i 0.325166 + 0.563205i
\(86\) −2299.65 + 8628.73i −0.310932 + 1.16668i
\(87\) −5104.64 + 2954.64i −0.674415 + 0.390361i
\(88\) 1688.54 + 6201.71i 0.218045 + 0.800840i
\(89\) 910.873 0.114995 0.0574974 0.998346i \(-0.481688\pi\)
0.0574974 + 0.998346i \(0.481688\pi\)
\(90\) 3692.88 + 975.514i 0.455912 + 0.120434i
\(91\) 9960.97i 1.20287i
\(92\) 2676.47 4664.66i 0.316218 0.551118i
\(93\) −5717.49 + 6.27738i −0.661057 + 0.000725792i
\(94\) 2990.92 11222.5i 0.338493 1.27009i
\(95\) 4130.79 2384.91i 0.457705 0.264256i
\(96\) −6567.39 6465.60i −0.712608 0.701563i
\(97\) 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 \(0.272529\pi\)
\(102\) −3679.84 + 13868.7i −0.353695 + 1.33301i
\(103\) −5848.70 + 3376.75i −0.551296 + 0.318291i −0.749645 0.661841i \(-0.769776\pi\)
0.198348 + 0.980132i \(0.436442\pi\)
\(104\) 2783.97 10559.9i 0.257394 0.976319i
\(105\) 3090.90 5367.20i 0.280354 0.486821i
\(106\) 1343.99 + 4989.04i 0.119615 + 0.444023i
\(107\) 30.7569i 0.00268643i 0.999999 + 0.00134321i \(0.000427558\pi\)
−0.999999 + 0.00134321i \(0.999572\pi\)
\(108\) 5892.29 + 10066.3i 0.505169 + 0.863021i
\(109\) 10691.4 0.899872 0.449936 0.893061i \(-0.351447\pi\)
0.449936 + 0.893061i \(0.351447\pi\)
\(110\) −4572.72 + 1231.84i −0.377911 + 0.101805i
\(111\) 12478.0 + 7185.91i 1.01274 + 0.583225i
\(112\) −12901.7 + 7541.47i −1.02852 + 0.601202i
\(113\) −5008.09 8674.27i −0.392207 0.679322i 0.600533 0.799600i \(-0.294955\pi\)
−0.992740 + 0.120277i \(0.961622\pi\)
\(114\) 14078.7 + 3735.58i 1.08331 + 0.287441i
\(115\) 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
\(120\) 4776.81 4826.03i 0.331723 0.335141i
\(121\) −2277.49 3944.73i −0.155556 0.269430i
\(122\) −22887.6 6099.80i −1.53773 0.409822i
\(123\) 24.3403 + 22169.4i 0.00160885 + 1.46536i
\(124\) −5058.56 + 8816.26i −0.328991 + 0.573378i
\(125\) −13097.6 −0.838247
\(126\) 18251.8 4959.84i 1.14965 0.312411i
\(127\) 16087.8i 0.997444i −0.866762 0.498722i \(-0.833803\pi\)
0.866762 0.498722i \(-0.166197\pi\)
\(128\) −15785.2 + 4389.02i −0.963451 + 0.267885i
\(129\) −10065.3 17389.4i −0.604847 1.04497i
\(130\) 7774.94 + 2072.11i 0.460056 + 0.122610i
\(131\) 18105.5 10453.2i 1.05504 0.609127i 0.130983 0.991385i \(-0.458187\pi\)
0.924056 + 0.382257i \(0.124853\pi\)
\(132\) −12551.6 7183.47i −0.720360 0.412275i
\(133\) 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 \(0.206421\pi\)
\(138\) 3160.34 + 11680.4i 0.165949 + 0.613340i
\(139\) −8058.42 + 4652.53i −0.417081 + 0.240802i −0.693828 0.720141i \(-0.744077\pi\)
0.276747 + 0.960943i \(0.410744\pi\)
\(140\) −5530.99 9520.83i −0.282193 0.485757i
\(141\) 13090.8 + 22616.6i 0.658460 + 1.13760i
\(142\) −21782.4 + 5867.92i −1.08026 + 0.291010i
\(143\) 17136.8i 0.838026i
\(144\) 20735.4 156.882i 0.999971 0.00756567i
\(145\) −7725.67 −0.367451
\(146\) −5718.78 21228.8i −0.268286 0.995907i
\(147\) −9.94769 9060.44i −0.000460349 0.419290i
\(148\) 22134.6 12858.8i 1.01053 0.587051i
\(149\) 12385.8 + 21452.8i 0.557893 + 0.966299i 0.997672 + 0.0681928i \(0.0217233\pi\)
−0.439779 + 0.898106i \(0.644943\pi\)
\(150\) −12402.3 12342.0i −0.551215 0.548531i
\(151\) −8841.72 5104.77i −0.387778 0.223884i 0.293419 0.955984i \(-0.405207\pi\)
−0.681197 + 0.732100i \(0.738540\pi\)
\(152\) 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
\(156\) 12366.2 + 21232.9i 0.508143 + 0.872491i
\(157\) 14486.5 + 25091.4i 0.587712 + 1.01795i 0.994531 + 0.104439i \(0.0333046\pi\)
−0.406819 + 0.913509i \(0.633362\pi\)
\(158\) −3317.29 + 12447.1i −0.132883 + 0.498603i
\(159\) −10074.4 5801.71i −0.398496 0.229489i
\(160\) −3202.58 11639.1i −0.125101 0.454653i
\(161\) 19621.4 0.756970
\(162\) −25388.3 6646.98i −0.967394 0.253276i
\(163\) 17736.4i 0.667560i −0.942651 0.333780i \(-0.891676\pi\)
0.942651 0.333780i \(-0.108324\pi\)
\(164\) 34184.8 + 19614.4i 1.27100 + 0.729269i
\(165\) 5317.57 9233.71i 0.195320 0.339163i
\(166\) 8402.14 31526.4i 0.304911 1.14409i
\(167\) −35562.1 + 20531.8i −1.27513 + 0.736197i −0.975949 0.217999i \(-0.930047\pi\)
−0.299182 + 0.954196i \(0.596714\pi\)
\(168\) 8536.05 32522.8i 0.302439 1.15231i
\(169\) −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 \(0.203739\pi\)
\(174\) −16722.9 16641.5i −0.552350 0.549660i
\(175\) −24570.9 + 14186.0i −0.802315 + 0.463217i
\(176\) −22196.1 + 12974.3i −0.716556 + 0.418851i
\(177\) −10415.6 + 11.4355i −0.332457 + 0.000365013i
\(178\) 947.729 + 3518.08i 0.0299119 + 0.111036i
\(179\) 1754.50i 0.0547580i 0.999625 + 0.0273790i \(0.00871609\pi\)
−0.999625 + 0.0273790i \(0.991284\pi\)
\(180\) 74.5697 + 15278.0i 0.00230153 + 0.471545i
\(181\) −43787.9 −1.33659 −0.668293 0.743898i \(-0.732975\pi\)
−0.668293 + 0.743898i \(0.732975\pi\)
\(182\) 38472.3 10364.0i 1.16146 0.312885i
\(183\) 46125.2 26698.0i 1.37732 0.797216i
\(184\) 20801.1 + 5483.96i 0.614401 + 0.161979i
\(185\) 9430.49 + 16334.1i 0.275544 + 0.477256i
\(186\) −5973.07 22076.2i −0.172652 0.638113i
\(187\) 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 0.890913 0.454174i \(-0.150066\pi\)
0.0521297 + 0.998640i \(0.483399\pi\)
\(192\) 18139.0 32092.5i 0.492053 0.870565i
\(193\) 10547.2 + 18268.3i 0.283154 + 0.490437i 0.972160 0.234319i \(-0.0752859\pi\)
−0.689006 + 0.724756i \(0.741953\pi\)
\(194\) 68059.9 + 18138.7i 1.80837 + 0.481951i
\(195\) −15668.8 + 9069.33i −0.412065 + 0.238510i
\(196\) −13971.0 8016.25i −0.363678 0.208669i
\(197\) 28256.1 0.728080 0.364040 0.931383i \(-0.381397\pi\)
0.364040 + 0.931383i \(0.381397\pi\)
\(198\) 31400.3 8532.89i 0.800947 0.217653i
\(199\) 24063.5i 0.607650i 0.952728 + 0.303825i \(0.0982638\pi\)
−0.952728 + 0.303825i \(0.901736\pi\)
\(200\) −30013.1 + 8171.67i −0.750326 + 0.204292i
\(201\) 32069.3 35.2097i 0.793775 0.000871506i
\(202\) −25744.7 6861.23i −0.630935 0.168151i
\(203\) −33130.7 + 19128.0i −0.803967 + 0.464171i
\(204\) −57393.8 + 217.114i −1.37913 + 0.00521709i
\(205\) −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
\(210\) 23945.8 + 6353.65i 0.542988 + 0.144074i
\(211\) 50298.6 29039.9i 1.12977 0.652274i 0.185895 0.982570i \(-0.440482\pi\)
0.943878 + 0.330295i \(0.107148\pi\)
\(212\) −17870.9 + 10381.8i −0.397625 + 0.230995i
\(213\) 25330.5 43985.2i 0.558322 0.969498i
\(214\) −118.793 + 32.0014i −0.00259395 + 0.000698781i
\(215\) 26318.1i 0.569349i
\(216\) −32748.4 + 33231.4i −0.701911 + 0.712265i
\(217\) −37084.7 −0.787545
\(218\) 11124.0 + 41293.4i 0.234071 + 0.868896i
\(219\) 42867.2 + 24686.7i 0.893794 + 0.514724i
\(220\) −9515.49 16379.6i −0.196601 0.338421i
\(221\) −34005.2 58898.7i −0.696243 1.20593i
\(222\) −14771.3 + 55670.5i −0.299719 + 1.12959i
\(223\) −14429.6 8330.91i −0.290164 0.167526i 0.347852 0.937550i \(-0.386911\pi\)
−0.638016 + 0.770023i \(0.720245\pi\)
\(224\) −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 −0.0538304 0.998550i \(-0.517143\pi\)
−0.891685 + 0.452657i \(0.850476\pi\)
\(228\) 220.403 + 58263.2i 0.00423983 + 1.12079i
\(229\) −1223.91 2119.87i −0.0233388 0.0404239i 0.854120 0.520076i \(-0.174096\pi\)
−0.877459 + 0.479652i \(0.840763\pi\)
\(230\) −4081.70 + 15315.3i −0.0771588 + 0.289515i
\(231\) −57.9305 52763.5i −0.00108563 0.988803i
\(232\) −40468.7 + 11018.4i −0.751871 + 0.204712i
\(233\) −76971.2 −1.41781 −0.708903 0.705306i \(-0.750809\pi\)
−0.708903 + 0.705306i \(0.750809\pi\)
\(234\) −53452.4 14120.0i −0.976193 0.257872i
\(235\) 34229.3i 0.619816i
\(236\) −9215.19 + 16060.6i −0.165455 + 0.288362i
\(237\) −14519.3 25084.6i −0.258494 0.446591i
\(238\) −23966.9 + 89928.4i −0.423114 + 1.58761i
\(239\) 22567.5 13029.4i 0.395083 0.228101i −0.289277 0.957245i \(-0.593415\pi\)
0.684360 + 0.729144i \(0.260082\pi\)
\(240\) 23609.7 + 13428.2i 0.409891 + 0.233129i
\(241\) 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
\(246\) −85599.7 + 23160.4i −1.41450 + 0.382716i
\(247\) −59790.9 + 34520.3i −0.980034 + 0.565823i
\(248\) −39314.4 10364.7i −0.639217 0.168521i
\(249\) 36775.0 + 63535.0i 0.593135 + 1.02474i
\(250\) −13627.6 50587.0i −0.218041 0.809392i
\(251\) 19782.5i 0.314003i −0.987598 0.157001i \(-0.949817\pi\)
0.987598 0.157001i \(-0.0501827\pi\)
\(252\) 38146.8 + 65333.6i 0.600698 + 1.02881i
\(253\) 33756.6 0.527373
\(254\) 62136.0 16738.7i 0.963110 0.259451i
\(255\) −46.4289 42287.9i −0.000714017 0.650332i
\(256\) −33375.6 56400.7i −0.509272 0.860606i
\(257\) −38636.9 66921.1i −0.584974 1.01320i −0.994879 0.101076i \(-0.967771\pi\)
0.409905 0.912128i \(-0.365562\pi\)
\(258\) 56690.8 56968.2i 0.851673 0.855840i
\(259\) 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 0.626881 0.779115i \(-0.284331\pi\)
−0.361293 + 0.932452i \(0.617665\pi\)
\(264\) 14685.4 55952.1i 0.210706 0.802802i
\(265\) −7613.92 13187.7i −0.108422 0.187792i
\(266\) 91290.6 + 24329.9i 1.29022 + 0.343857i
\(267\) −7104.05 4091.13i −0.0996514 0.0573880i
\(268\) 28373.4 49450.3i 0.395041 0.688493i
\(269\) 1106.24 0.0152878 0.00764389 0.999971i \(-0.497567\pi\)
0.00764389 + 0.999971i \(0.497567\pi\)
\(270\) −24419.9 24194.6i −0.334979 0.331887i
\(271\) 33038.3i 0.449861i −0.974375 0.224931i \(-0.927784\pi\)
0.974375 0.224931i \(-0.0722155\pi\)
\(272\) −50541.8 + 88636.8i −0.683145 + 1.19805i
\(273\) −44739.1 + 77687.2i −0.600291 + 1.04238i
\(274\) −18073.3 4816.74i −0.240734 0.0641582i
\(275\) −42271.7 + 24405.6i −0.558964 + 0.322718i
\(276\) −41825.3 + 24359.3i −0.549061 + 0.319776i
\(277\) −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 \(0.231875\pi\)
\(282\) −73731.9 + 74092.7i −0.927166 + 0.931702i
\(283\) 61782.5 35670.2i 0.771424 0.445382i −0.0619586 0.998079i \(-0.519735\pi\)
0.833382 + 0.552697i \(0.186401\pi\)
\(284\) −45327.5 78024.9i −0.561985 0.967379i
\(285\) −42928.4 + 47.1322i −0.528512 + 0.000580267i
\(286\) 66187.6 17830.2i 0.809179 0.217984i
\(287\) 143795.i 1.74574i
\(288\) 22180.3 + 79923.3i 0.267413 + 0.963582i
\(289\) 75337.7 0.902021
\(290\) −8038.26 29838.9i −0.0955798 0.354803i
\(291\) −137161. + 79390.6i −1.61973 + 0.937526i
\(292\) 76041.9 44175.4i 0.891840 0.518102i
\(293\) 18320.8 + 31732.5i 0.213407 + 0.369631i 0.952779 0.303666i \(-0.0982107\pi\)
−0.739372 + 0.673297i \(0.764877\pi\)
\(294\) 34983.9 9465.47i 0.404737 0.109508i
\(295\) −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
\(300\) 34764.3 60743.0i 0.386270 0.674922i
\(301\) −65161.2 112863.i −0.719211 1.24571i
\(302\) 10516.7 39460.8i 0.115310 0.432665i
\(303\) 51883.0 30030.7i 0.565119 0.327099i
\(304\) 89979.4 + 51307.4i 0.973635 + 0.555179i
\(305\) 69808.6 0.750428
\(306\) 90989.9 91636.1i 0.971741 0.978642i
\(307\) 11668.1i 0.123801i −0.998082 0.0619005i \(-0.980284\pi\)
0.998082 0.0619005i \(-0.0197161\pi\)
\(308\) −81360.5 46682.7i −0.857654 0.492101i
\(309\) 60781.5 66.7335i 0.636582 0.000698919i
\(310\) 7714.46 28946.1i 0.0802753 0.301208i
\(311\) 3755.11 2168.01i 0.0388242 0.0224151i −0.480462 0.877015i \(-0.659531\pi\)
0.519286 + 0.854600i \(0.326198\pi\)
\(312\) −69141.7 + 69854.1i −0.710282 + 0.717600i
\(313\) −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 \(0.127556\pi\)
\(318\) 11926.0 44946.8i 0.117934 0.444473i
\(319\) −56997.9 + 32907.7i −0.560115 + 0.323383i
\(320\) 41621.7 24479.4i 0.406462 0.239057i
\(321\) 138.143 239.878i 0.00134066 0.00232799i
\(322\) 20415.3 + 75784.0i 0.196900 + 0.730913i
\(323\) 161265.i 1.54573i
\(324\) −742.872 104973.i −0.00707659 0.999975i
\(325\) 82933.2 0.785167
\(326\) 68503.4 18454.0i 0.644580 0.173643i
\(327\) −83383.8 48019.7i −0.779806 0.449080i
\(328\) −40189.0 + 152440.i −0.373559 + 1.41694i
\(329\) 84748.5 + 146789.i 0.782961 + 1.35613i
\(330\) 41196.2 + 10930.8i 0.378294 + 0.100375i
\(331\) −162176. 93632.3i −1.48023 0.854614i −0.480485 0.877003i \(-0.659539\pi\)
−0.999749 + 0.0223896i \(0.992873\pi\)
\(332\) 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
\(336\) 134495. 869.900i 1.19131 0.00770532i
\(337\) 50479.6 + 87433.2i 0.444484 + 0.769868i 0.998016 0.0629592i \(-0.0200538\pi\)
−0.553532 + 0.832828i \(0.686720\pi\)
\(338\) −2147.14 572.236i −0.0187943 0.00500890i
\(339\) 98.9732 + 90145.6i 0.000861228 + 0.784414i
\(340\) −65207.1 37414.3i −0.564076 0.323653i
\(341\) −63800.3 −0.548674
\(342\) −93024.2 92368.2i −0.795323 0.789715i
\(343\) 81392.2i 0.691823i
\(344\) −37535.2 137860.i −0.317192 1.16499i
\(345\) −17865.0 30864.8i −0.150095 0.259314i
\(346\) −26884.5 7165.02i −0.224569 0.0598501i
\(347\) 151470. 87451.5i 1.25797 0.726287i 0.285287 0.958442i \(-0.407911\pi\)
0.972679 + 0.232155i \(0.0745777\pi\)
\(348\) 46875.1 81904.1i 0.387065 0.676312i
\(349\) −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 \(0.952063\pi\)
\(354\) −10881.2 40216.2i −0.0868297 0.320918i
\(355\) 57578.0 33242.7i 0.456878 0.263778i
\(356\) −12601.8 + 7320.85i −0.0994336 + 0.0577646i
\(357\) −104900. 181232.i −0.823072 1.42200i
\(358\) −6776.42 + 1825.49i −0.0528731 + 0.0142434i
\(359\) 184004.i 1.42771i 0.700295 + 0.713853i \(0.253052\pi\)
−0.700295 + 0.713853i \(0.746948\pi\)
\(360\) −58931.0 + 16184.2i −0.454714 + 0.124878i
\(361\) −33386.7 −0.256188
\(362\) −45559.7 169122.i −0.347667 1.29058i
\(363\) 45.0092 + 40994.8i 0.000341577 + 0.311111i
\(364\) 80058.0 + 137809.i 0.604230 + 1.04010i
\(365\) 32397.8 + 56114.6i 0.243181 + 0.421202i
\(366\) 151107. + 150372.i 1.12804 + 1.12254i
\(367\) −143674. 82950.4i −1.06671 0.615866i −0.139430 0.990232i \(-0.544527\pi\)
−0.927281 + 0.374366i \(0.877860\pi\)
\(368\) 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
\(372\) 79050.3 46039.3i 0.571238 0.332692i
\(373\) −65160.0 112861.i −0.468343 0.811193i 0.531003 0.847370i \(-0.321815\pi\)
−0.999345 + 0.0361768i \(0.988482\pi\)
\(374\) −41232.5 + 154712.i −0.294779 + 1.10607i
\(375\) 102150. + 58827.1i 0.726403 + 0.418326i
\(376\) 48818.3 + 179301.i 0.345308 + 1.26825i
\(377\) 111825. 0.786783
\(378\) −164626. 43294.3i −1.15216 0.303003i
\(379\) 43645.6i 0.303852i −0.988392 0.151926i \(-0.951453\pi\)
0.988392 0.151926i \(-0.0485475\pi\)
\(380\) −37981.0 + 66194.9i −0.263026 + 0.458413i
\(381\) −72257.3 + 125471.i −0.497773 + 0.864359i
\(382\) −40920.6 + 153542.i −0.280424 + 1.05220i
\(383\) 237186. 136939.i 1.61693 0.933535i 0.629223 0.777225i \(-0.283373\pi\)
0.987708 0.156310i \(-0.0499599\pi\)
\(384\) 142824. + 36667.5i 0.968589 + 0.248667i
\(385\) 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 \(-0.133952\pi\)
\(390\) −51331.3 51081.4i −0.337484 0.335841i
\(391\) 116020. 66984.5i 0.758894 0.438148i
\(392\) 16424.9 62301.1i 0.106888 0.405437i
\(393\) −188158. + 206.584i −1.21825 + 0.00133755i
\(394\) 29399.4 + 109134.i 0.189385 + 0.703018i
\(395\) 37964.4i 0.243323i
\(396\) 65627.5 + 112400.i 0.418500 + 0.716761i
\(397\) −4252.39 −0.0269806 −0.0134903 0.999909i \(-0.504294\pi\)
−0.0134903 + 0.999909i \(0.504294\pi\)
\(398\) −92940.9 + 25037.2i −0.586733 + 0.158059i
\(399\) −183977. + 106489.i −1.15563 + 0.668895i
\(400\) −62789.0 107417.i −0.392431 0.671359i
\(401\) −3665.61 6349.02i −0.0227959 0.0394837i 0.854402 0.519612i \(-0.173923\pi\)
−0.877198 + 0.480128i \(0.840590\pi\)
\(402\) 33502.9 + 123825.i 0.207315 + 0.766224i
\(403\) 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
\(408\) −60554.6 221447.i −0.363770 1.33030i
\(409\) 14207.0 + 24607.2i 0.0849289 + 0.147101i 0.905361 0.424643i \(-0.139600\pi\)
−0.820432 + 0.571744i \(0.806267\pi\)
\(410\) −112238. 29912.6i −0.667685 0.177945i
\(411\) 36423.0 21082.2i 0.215622 0.124805i
\(412\) 53776.5 93723.9i 0.316810 0.552149i
\(413\) −67557.2 −0.396070
\(414\) 27814.0 105292.i 0.162279 0.614321i
\(415\) 96157.5i 0.558325i
\(416\) 46355.6 + 168470.i 0.267864 + 0.973498i
\(417\) 83745.5 91.9464i 0.481603 0.000528765i
\(418\) 157056. + 41857.1i 0.898880 + 0.239561i
\(419\) −137256. + 79245.0i −0.781816 + 0.451382i −0.837073 0.547091i \(-0.815735\pi\)
0.0552577 + 0.998472i \(0.482402\pi\)
\(420\) 374.872 + 99096.7i 0.00212512 + 0.561772i
\(421\) 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
\(426\) 196240. + 52069.3i 1.08135 + 0.286921i
\(427\) 299366. 172839.i 1.64190 0.947953i
\(428\) −247.199 425.518i −0.00134946 0.00232290i
\(429\) −76968.9 + 133653.i −0.418216 + 0.726212i
\(430\) 101649. 27383.0i 0.549750 0.148096i
\(431\) 115124.i 0.619741i 0.950779 + 0.309870i \(0.100286\pi\)
−0.950779 + 0.309870i \(0.899714\pi\)
\(432\) −162423. 91908.3i −0.870325 0.492478i
\(433\) 95600.5 0.509899 0.254950 0.966954i \(-0.417941\pi\)
0.254950 + 0.966954i \(0.417941\pi\)
\(434\) −38585.2 143233.i −0.204853 0.760435i
\(435\) 60253.7 + 34699.4i 0.318424 + 0.183376i
\(436\) −147914. + 85928.5i −0.778101 + 0.452027i
\(437\) −67999.1 117778.i −0.356074 0.616738i
\(438\) −50745.9 + 191252.i −0.264517 + 0.996915i
\(439\) −321749. 185762.i −1.66951 0.963890i −0.967903 0.251322i \(-0.919135\pi\)
−0.701603 0.712568i \(1.25247\pi\)
\(440\) 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 0.162877 0.986646i \(-0.447923\pi\)
−0.773023 + 0.634379i \(0.781256\pi\)
\(444\) −230386. + 871.524i −1.16866 + 0.00442093i
\(445\) −5369.03 9299.44i −0.0271129 0.0469609i
\(446\) 17163.2 64399.5i 0.0862834 0.323752i
\(447\) −244.776 222944.i −0.00122505 1.11578i
\(448\) 117882. 208029.i 0.587340 1.03649i
\(449\) 128427. 0.637035 0.318518 0.947917i \(-0.396815\pi\)
0.318518 + 0.947917i \(0.396815\pi\)
\(450\) 41294.7 + 151961.i 0.203925 + 0.750426i
\(451\) 247384.i 1.21624i
\(452\) 139003. + 79756.5i 0.680373 + 0.390382i
\(453\) 46030.3 + 79525.0i 0.224309 + 0.387532i
\(454\) 57951.4 217445.i 0.281159 1.05496i
\(455\) −101695. + 58713.7i −0.491221 + 0.283607i
\(456\) −224801. + 61471.9i −1.08111 + 0.295629i
\(457\) −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 \(0.921310\pi\)
\(462\) 203729. 55122.2i 0.954484 0.258251i
\(463\) −307165. + 177342.i −1.43288 + 0.827273i −0.997339 0.0728974i \(-0.976775\pi\)
−0.435539 + 0.900170i \(0.643442\pi\)
\(464\) −84662.8 144838.i −0.393239 0.672741i
\(465\) 33765.1 + 58334.9i 0.156157 + 0.269788i
\(466\) −80085.7 297287.i −0.368793 1.36900i
\(467\) 116644.i 0.534848i −0.963579 0.267424i \(-0.913828\pi\)
0.963579 0.267424i \(-0.0861724\pi\)
\(468\) −1079.35 221141.i −0.00492802 1.00967i
\(469\) 208007. 0.945656
\(470\) −132204. + 35614.3i −0.598480 + 0.161224i
\(471\) −286.292 260757.i −0.00129053 1.17542i
\(472\) −71619.1 18881.5i −0.321473 0.0847523i
\(473\) −112103. 194168.i −0.501066 0.867872i
\(474\) 81777.6 82177.7i 0.363980 0.365761i
\(475\) 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 0.290547 0.956861i \(-0.406163\pi\)
−0.683392 + 0.730052i \(0.739496\pi\)
\(480\) −27299.0 + 105160.i −0.118485 + 0.456422i
\(481\) −136501. 236427.i −0.589992 1.02190i
\(482\) 108221. + 28842.1i 0.465819 + 0.124146i
\(483\) −153031. 88128.4i −0.655970 0.377765i
\(484\) 63213.2 + 36270.2i 0.269847 + 0.154832i
\(485\) −207587. −0.882503
\(486\) 168153. + 165871.i 0.711921 + 0.702259i
\(487\) 101284.i 0.427055i −0.976937 0.213527i \(-0.931505\pi\)
0.976937 0.213527i \(-0.0684953\pi\)
\(488\) 365672. 99561.8i 1.53551 0.418074i
\(489\) −79661.9 + 138329.i −0.333145 + 0.578490i
\(490\) 45870.6 + 12225.0i 0.191048 + 0.0509163i
\(491\) −151749. + 87612.6i −0.629454 + 0.363416i −0.780541 0.625105i \(-0.785056\pi\)
0.151086 + 0.988521i \(0.451723\pi\)
\(492\) −178516. 306515.i −0.737474 1.26626i
\(493\) −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
\(498\) −207129. + 208142.i −0.835183 + 0.839269i
\(499\) −83227.2 + 48051.2i −0.334244 + 0.192976i −0.657724 0.753259i \(-0.728481\pi\)
0.323480 + 0.946235i \(0.395147\pi\)
\(500\) 181204. 105268.i 0.724815 0.421071i
\(501\) 369572. 405.763i 1.47239 0.00161658i
\(502\) 76406.1 20582.9i 0.303194 0.0816770i
\(503\) 164729.i 0.651080i −0.945528 0.325540i \(-0.894454\pi\)
0.945528 0.325540i \(-0.105546\pi\)
\(504\) −212648. + 215312.i −0.837146 + 0.847631i
\(505\) 78522.7 0.307902
\(506\) 35122.5 + 130378.i 0.137178 + 0.509219i
\(507\) 4327.12 2504.60i 0.0168338 0.00974367i
\(508\) 129300. + 222572.i 0.501040 + 0.862470i
\(509\) 42970.1 + 74426.4i 0.165856 + 0.287271i 0.936959 0.349440i \(-0.113628\pi\)
−0.771103 + 0.636710i \(0.780295\pi\)
\(510\) 163280. 44178.2i 0.627760 0.169851i
\(511\) 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
\(516\) 279013. + 159684.i 1.04791 + 0.599739i
\(517\) 145801. + 252535.i 0.545481 + 0.944800i
\(518\) −96206.0 + 360984.i −0.358544 + 1.34533i
\(519\) 54180.2 31360.3i 0.201143 0.116425i
\(520\) −124219. + 33821.2i −0.459391 + 0.125079i
\(521\) −173047. −0.637514 −0.318757 0.947836i \(-0.603265\pi\)
−0.318757 + 0.947836i \(0.603265\pi\)
\(522\) 55680.6 + 204900.i 0.204344 + 0.751971i
\(523\) 252188.i 0.921978i −0.887406 0.460989i \(-0.847495\pi\)
0.887406 0.460989i \(-0.152505\pi\)
\(524\) −166473. + 290136.i −0.606292 + 1.05667i
\(525\) 255348. 280.353i 0.926433 0.00101716i
\(526\) −21850.6 + 81987.8i −0.0789755 + 0.296331i
\(527\) −219280. + 126601.i −0.789547 + 0.455845i
\(528\) 231384. 1496.57i 0.829976 0.00536821i
\(529\) −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
\(534\) 8409.73 31694.7i 0.0294917 0.111149i
\(535\) 314.008 181.293i 0.00109707 0.000633393i
\(536\) 220514. + 58135.7i 0.767549 + 0.202355i
\(537\) 7880.23 13683.6i 0.0273269 0.0474518i
\(538\) 1151.00 + 4272.64i 0.00397659 + 0.0147615i
\(539\) 101104.i 0.348008i
\(540\) 68038.8 119491.i 0.233329 0.409777i
\(541\) −472358. −1.61390 −0.806950 0.590620i \(-0.798883\pi\)
−0.806950 + 0.590620i \(0.798883\pi\)
\(542\) 127604. 34375.1i 0.434376 0.117016i
\(543\) 341509. + 196671.i 1.15825 + 0.667022i
\(544\) −394930. 102985.i −1.33451 0.347997i
\(545\) −63019.0 109152.i −0.212167 0.367485i
\(546\) −346601. 91965.6i −1.16264 0.308489i
\(547\) 332881. + 192189.i 1.11254 + 0.642323i 0.939485 0.342590i \(-0.111304\pi\)
0.173051 + 0.984913i \(0.444638\pi\)
\(548\) −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
\(552\) −137601. 136197.i −0.451588 0.446983i
\(553\) −93996.3 162806.i −0.307369 0.532379i
\(554\) −111479. 29710.3i −0.363223 0.0968028i
\(555\) −186.371 169749.i −0.000605053 0.551087i
\(556\) 74094.1 129134.i 0.239681 0.417726i
\(557\) −19803.1 −0.0638297 −0.0319148 0.999491i \(-0.510161\pi\)
−0.0319148 + 0.999491i \(0.510161\pi\)
\(558\) −52568.8 + 199003.i −0.168834 + 0.639134i
\(559\) 380940.i 1.21908i
\(560\) 153041. + 87266.0i 0.488014 + 0.278272i
\(561\) −180469. 311791.i −0.573426 0.990689i
\(562\) −124169. 33092.4i −0.393134 0.104775i
\(563\) −132566. + 76536.8i −0.418229 + 0.241465i −0.694319 0.719667i \(-0.744294\pi\)
0.276090 + 0.961132i \(0.410961\pi\)
\(564\) −362884. 207685.i −1.14080 0.652900i
\(565\) −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 \(0.141121\pi\)
\(570\) −44847.4 165754.i −0.138035 0.510169i
\(571\) −92961.9 + 53671.6i −0.285123 + 0.164616i −0.635741 0.771903i \(-0.719305\pi\)
0.350617 + 0.936519i \(0.385972\pi\)
\(572\) 137731. + 237086.i 0.420960 + 0.724624i
\(573\) −179104. 309432.i −0.545501 0.942444i
\(574\) −555380. + 149613.i −1.68565 + 0.454094i
\(575\) 163364.i 0.494108i
\(576\) −285611. + 168825.i −0.860855 + 0.508851i
\(577\) −114098. −0.342710 −0.171355 0.985209i \(-0.554814\pi\)
−0.171355 + 0.985209i \(0.554814\pi\)
\(578\) 78386.0 + 290977.i 0.234630 + 0.870971i
\(579\) −208.441 189850.i −0.000621764 0.566308i
\(580\) 106884. 62092.5i 0.317728 0.184579i
\(581\) 238077. + 412361.i 0.705285 + 1.22159i
\(582\) −449342. 447154.i −1.32657 1.32011i
\(583\) −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 0.432919 0.901433i \(-0.357484\pi\)
−0.564205 + 0.825635i \(0.690817\pi\)
\(588\) 72958.0 + 125270.i 0.211017 + 0.362320i
\(589\) 128519. + 222602.i 0.370456 + 0.641649i
\(590\) 14053.4 52731.2i 0.0403718 0.151483i
\(591\) −220374. 126910.i −0.630935 0.363348i
\(592\) −202881. + 355799.i −0.578893 + 1.01522i
\(593\) 277354. 0.788724 0.394362 0.918955i \(-0.370966\pi\)
0.394362 + 0.918955i \(0.370966\pi\)
\(594\) −283221. 74483.3i −0.802699 0.211099i
\(595\) 274287.i 0.774767i
\(596\) −343776. 197250.i −0.967793 0.555296i
\(597\) 108080. 187676.i 0.303247 0.526574i
\(598\) 59080.3 221681.i 0.165212 0.619906i
\(599\) 16547.3 9553.58i 0.0461183 0.0266264i −0.476764 0.879032i \(-0.658190\pi\)
0.522882 + 0.852405i \(0.324857\pi\)
\(600\) 270779. + 71069.6i 0.752165 + 0.197416i
\(601\) 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
\(606\) 169970. + 169142.i 0.462836 + 0.460582i
\(607\) 331153. 191191.i 0.898776 0.518909i 0.0219735 0.999759i \(-0.493005\pi\)
0.876803 + 0.480850i \(0.159672\pi\)
\(608\) −104545. + 400912.i −0.282811 + 1.08453i
\(609\) 344304. 378.020i 0.928341 0.00101925i
\(610\) 72633.2 + 269622.i 0.195198 + 0.724597i
\(611\) 495450.i 1.32714i
\(612\) 448599. + 256087.i 1.19772 + 0.683731i
\(613\) −210852. −0.561121 −0.280560 0.959836i \(-0.590520\pi\)
−0.280560 + 0.959836i \(0.590520\pi\)
\(614\) 45065.9 12140.2i 0.119539 0.0322026i
\(615\) 226192. 130923.i 0.598035 0.346152i
\(616\) 95650.5 362811.i 0.252073 0.956134i
\(617\) −313290. 542634.i −0.822955 1.42540i −0.903472 0.428647i \(-0.858990\pi\)
0.0805170 0.996753i \(-0.474343\pi\)
\(618\) 63498.5 + 234687.i 0.166260 + 0.614487i
\(619\) 35684.5 + 20602.5i 0.0931319 + 0.0537697i 0.545843 0.837888i \(-0.316210\pi\)
−0.452711 + 0.891657i \(0.649543\pi\)
\(620\) 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
\(624\) −341737. 194366.i −0.877654 0.499173i
\(625\) −74680.7 129351.i −0.191183 0.331138i
\(626\) −334325. 89101.2i −0.853139 0.227371i
\(627\) −316513. + 183203.i −0.805113 + 0.466012i
\(628\) −402083. 230706.i −1.01952 0.584977i
\(629\) 637678. 1.61176
\(630\) −158220. 157104.i −0.398639 0.395828i
\(631\) 150814.i 0.378777i −0.981902 0.189389i \(-0.939349\pi\)
0.981902 0.189389i \(-0.0606506\pi\)
\(632\) −54145.3 198866.i −0.135558 0.497882i
\(633\) −522718. + 573.906i −1.30455 + 0.00143230i
\(634\) 95205.8 + 25373.4i 0.236856 + 0.0631248i
\(635\) −164246. + 94827.4i −0.407331 + 0.235172i
\(636\) 186007. 703.645i 0.459849 0.00173956i
\(637\) −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 \(0.992117\pi\)
\(642\) 1070.22 + 283.966i 0.00259658 + 0.000688964i
\(643\) 74279.9 42885.5i 0.179659 0.103726i −0.407473 0.913217i \(-0.633590\pi\)
0.587133 + 0.809491i \(0.300257\pi\)
\(644\) −271460. + 157701.i −0.654536 + 0.380244i
\(645\) −118206. + 205260.i −0.284133 + 0.493383i
\(646\) 622855. 167790.i 1.49253 0.402070i
\(647\) 128368.i 0.306653i 0.988176 + 0.153327i \(0.0489986\pi\)
−0.988176 + 0.153327i \(0.951001\pi\)
\(648\) 404667. 112090.i 0.963713 0.266942i
\(649\) −116225. −0.275937
\(650\) 86288.9 + 320314.i 0.204234 + 0.758139i
\(651\) 289230. + 166564.i 0.682465 + 0.393023i
\(652\) 142550. + 245381.i 0.335331 + 0.577225i
\(653\) 232940. + 403463.i 0.546282 + 0.946189i 0.998525 + 0.0542939i \(0.0172908\pi\)
−0.452243 + 0.891895i \(0.649376\pi\)
\(654\) 98709.2 372017.i 0.230782 0.869776i
\(655\) −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 0.807341 0.590085i \(-0.200906\pi\)
−0.107358 + 0.994220i \(0.534239\pi\)
\(660\) 644.928 + 170485.i 0.00148055 + 0.391381i
\(661\) 141131. + 244446.i 0.323013 + 0.559475i 0.981108 0.193460i \(-0.0619709\pi\)
−0.658095 + 0.752935i \(0.728638\pi\)
\(662\) 192899. 723795.i 0.440164 1.65158i
\(663\) 672.033 + 612093.i 0.00152884 + 1.39248i
\(664\) 137141. + 503694.i 0.311051 + 1.14243i
\(665\) −278442. −0.629638
\(666\) 365245. 367839.i 0.823447 0.829295i
\(667\) 220276.i 0.495125i
\(668\) 326980. 569874.i 0.732771 1.27710i
\(669\) 75120.8 + 129784.i 0.167845 + 0.289980i
\(670\) −43270.3 + 162358.i −0.0963918 + 0.361680i
\(671\) 515029. 297352.i 1.14390 0.660428i
\(672\) 143296. + 518555.i 0.317320 + 1.14830i
\(673\) 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 \(0.265967\pi\)
\(678\) −348067. + 94175.3i −0.757188 + 0.204870i
\(679\) −890213. + 513965.i −1.93088 + 1.11479i
\(680\) 76660.0 290778.i 0.165787 0.628846i
\(681\) 253645. + 438215.i 0.546931 + 0.944915i
\(682\) −66381.8 246417.i −0.142719 0.529787i
\(683\) 687094.i 1.47291i 0.676489 + 0.736453i \(0.263501\pi\)
−0.676489 + 0.736453i \(0.736499\pi\)
\(684\) 259966. 455394.i 0.555655 0.973363i
\(685\) 55124.8 0.117480
\(686\) −314362. + 84685.5i −0.668008 + 0.179954i
\(687\) 24.1877 + 22030.3i 5.12484e−5 + 0.0466775i
\(688\) 493405. 288411.i 1.04238 0.609305i
\(689\) 110207. + 190884.i 0.232152 + 0.402098i
\(690\) 100622. 101114.i 0.211346 0.212380i
\(691\) −284957. 164520.i −0.596792 0.344558i 0.170986 0.985273i \(-0.445305\pi\)
−0.767779 + 0.640715i \(0.778638\pi\)
\(692\) −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
\(696\) 365111. + 95828.2i 0.753713 + 0.197822i
\(697\) 490893. + 850252.i 1.01047 + 1.75018i
\(698\) −169666. 45217.7i −0.348243 0.0928106i
\(699\) 600311. + 345712.i 1.22863 + 0.707554i
\(700\) 225920. 393742.i 0.461061 0.803556i
\(701\) −961471. −1.95659 −0.978296 0.207214i \(-0.933560\pi\)
−0.978296 + 0.207214i \(0.933560\pi\)
\(702\) 353465. + 350203.i 0.717253 + 0.710633i
\(703\) 647338.i 1.30985i
\(704\) 202803. 357892.i 0.409193 0.722115i
\(705\) 153739. 266960.i 0.309318 0.537116i
\(706\) −601328. 160260.i −1.20643 0.321526i
\(707\) 336736. 194415.i 0.673676 0.388947i
\(708\) 144006. 83869.8i 0.287286 0.167317i
\(709\) 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
\(714\) 590830. 593720.i 1.15895 1.16462i
\(715\) −174956. + 101011.i −0.342229 + 0.197586i
\(716\) −14101.2 24273.3i −0.0275062 0.0473481i
\(717\) −234529. + 257.495i −0.456202 + 0.000500876i
\(718\) −710682. + 191450.i −1.37856 + 0.371369i
\(719\) 608601.i 1.17727i −0.808400 0.588633i \(-0.799666\pi\)
0.808400 0.588633i \(-0.200334\pi\)
\(720\) −123824. 210771.i −0.238858 0.406579i
\(721\) 394240. 0.758385
\(722\) −34737.6 128950.i −0.0666386 0.247370i
\(723\) −218097. + 126238.i −0.417227 + 0.241498i
\(724\) 605800. 351931.i 1.15572 0.671399i
\(725\) −159256. 275840.i −0.302985 0.524785i
\(726\) −158288. + 42827.3i −0.300313 + 0.0812546i
\(727\) 396978. + 229195.i 0.751100 + 0.433648i 0.826091 0.563536i \(-0.190560\pi\)
−0.0749911 + 0.997184i \(0.523893\pi\)
\(728\) −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
\(732\) −423560. + 740079.i −0.790484 + 1.38120i
\(733\) −35347.8 61224.2i −0.0657892 0.113950i 0.831255 0.555892i \(-0.187623\pi\)
−0.897044 + 0.441942i \(0.854290\pi\)
\(734\) 170892. 641221.i 0.317198 1.19019i
\(735\) −92442.7 + 53507.2i −0.171119 + 0.0990462i
\(736\) −331857. + 91312.6i −0.612626 + 0.168568i
\(737\) 357855. 0.658828
\(738\) 771630. + 203834.i 1.41676 + 0.374252i
\(739\) 476430.i 0.872390i −0.899852 0.436195i \(-0.856326\pi\)
0.899852 0.436195i \(-0.143674\pi\)
\(740\) −261750. 150186.i −0.477994 0.274261i
\(741\) 621365. 682.212i 1.13164 0.00124246i
\(742\) 77674.1 291448.i 0.141081 0.529363i
\(743\) −109137. + 63010.2i −0.197694 + 0.114139i −0.595579 0.803296i \(-0.703078\pi\)
0.397885 + 0.917435i \(0.369744\pi\)
\(744\) 260067. + 257415.i 0.469828 + 0.465037i
\(745\) 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
\(750\) −120925. + 455744.i −0.214978 + 0.810211i
\(751\) 176908. 102138.i 0.313667 0.181096i −0.334899 0.942254i \(-0.608702\pi\)
0.648566 + 0.761158i \(0.275369\pi\)
\(752\) −641721. + 375107.i −1.13478 + 0.663314i
\(753\) −88851.9 + 154287.i −0.156703 + 0.272107i
\(754\) 116349. + 431902.i 0.204655 + 0.759700i
\(755\) 120358.i 0.211145i
\(756\) −4070.85 680881.i −0.00712265 1.19132i
\(757\) 588244. 1.02652 0.513258 0.858235i \(-0.328438\pi\)
0.513258 + 0.858235i \(0.328438\pi\)
\(758\) 168573. 45411.5i 0.293392 0.0790365i
\(759\) −263273. 151616.i −0.457007 0.263185i
\(760\) −295183. 77821.2i −0.511051 0.134732i
\(761\) 25368.8 + 43940.0i 0.0438056 + 0.0758736i 0.887097 0.461583i \(-0.152718\pi\)
−0.843291 + 0.537457i \(0.819385\pi\)
\(762\) −559790. 148532.i −0.964084 0.255806i
\(763\) −540501.