Properties

Label 36.5.f.a.7.12
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 7.12
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0678484 - 3.99942i) q^{2} +(-2.72970 + 8.57606i) q^{3} +(-15.9908 - 0.542709i) q^{4} +(16.6139 + 28.7760i) q^{5} +(34.1141 + 11.4991i) q^{6} +(39.9759 + 23.0801i) q^{7} +(-3.25547 + 63.9171i) q^{8} +(-66.0975 - 46.8201i) q^{9} +O(q^{10})\) \(q+(0.0678484 - 3.99942i) q^{2} +(-2.72970 + 8.57606i) q^{3} +(-15.9908 - 0.542709i) q^{4} +(16.6139 + 28.7760i) q^{5} +(34.1141 + 11.4991i) q^{6} +(39.9759 + 23.0801i) q^{7} +(-3.25547 + 63.9171i) q^{8} +(-66.0975 - 46.8201i) q^{9} +(116.215 - 64.4935i) q^{10} +(-63.6109 - 36.7258i) q^{11} +(48.3044 - 135.657i) q^{12} +(151.520 + 262.440i) q^{13} +(95.0195 - 158.315i) q^{14} +(-292.136 + 63.9314i) q^{15} +(255.411 + 17.3567i) q^{16} -182.019 q^{17} +(-191.738 + 261.175i) q^{18} -314.215i q^{19} +(-250.052 - 469.168i) q^{20} +(-307.059 + 279.834i) q^{21} +(-151.198 + 251.915i) q^{22} +(-290.919 + 167.962i) q^{23} +(-539.271 - 202.394i) q^{24} +(-239.540 + 414.896i) q^{25} +(1059.89 - 588.185i) q^{26} +(581.958 - 439.051i) q^{27} +(-626.721 - 390.765i) q^{28} +(357.370 - 618.983i) q^{29} +(235.868 + 1172.71i) q^{30} +(985.186 - 568.798i) q^{31} +(86.7460 - 1020.32i) q^{32} +(488.601 - 445.280i) q^{33} +(-12.3497 + 727.971i) q^{34} +1533.80i q^{35} +(1031.54 + 784.562i) q^{36} +1008.45 q^{37} +(-1256.68 - 21.3190i) q^{38} +(-2664.30 + 583.059i) q^{39} +(-1893.37 + 968.231i) q^{40} +(-557.553 - 965.709i) q^{41} +(1098.34 + 1247.04i) q^{42} +(2182.06 + 1259.82i) q^{43} +(997.257 + 621.796i) q^{44} +(249.164 - 2679.89i) q^{45} +(652.014 + 1174.90i) q^{46} +(980.476 + 566.078i) q^{47} +(-846.047 + 2143.04i) q^{48} +(-135.117 - 234.029i) q^{49} +(1643.09 + 986.173i) q^{50} +(496.857 - 1561.00i) q^{51} +(-2280.49 - 4278.85i) q^{52} -1057.77 q^{53} +(-1716.47 - 2357.29i) q^{54} -2440.63i q^{55} +(-1605.36 + 2480.01i) q^{56} +(2694.73 + 857.713i) q^{57} +(-2451.33 - 1471.27i) q^{58} +(878.476 - 507.188i) q^{59} +(4706.18 - 863.769i) q^{60} +(-430.304 + 745.308i) q^{61} +(-2208.02 - 3978.77i) q^{62} +(-1561.69 - 3397.22i) q^{63} +(-4074.80 - 416.161i) q^{64} +(-5034.65 + 8720.27i) q^{65} +(-1747.71 - 1984.33i) q^{66} +(559.041 - 322.762i) q^{67} +(2910.63 + 98.7833i) q^{68} +(-646.331 - 2953.42i) q^{69} +(6134.31 + 104.066i) q^{70} +9567.89i q^{71} +(3207.79 - 4072.34i) q^{72} +1899.10 q^{73} +(68.4216 - 4033.22i) q^{74} +(-2904.30 - 3186.85i) q^{75} +(-170.527 + 5024.55i) q^{76} +(-1695.27 - 2936.29i) q^{77} +(2151.13 + 10695.2i) q^{78} +(-6768.11 - 3907.57i) q^{79} +(3743.90 + 7638.08i) q^{80} +(2176.75 + 6189.38i) q^{81} +(-3900.11 + 2164.37i) q^{82} +(-7052.56 - 4071.80i) q^{83} +(5061.98 - 4308.12i) q^{84} +(-3024.04 - 5237.78i) q^{85} +(5186.58 - 8641.52i) q^{86} +(4332.92 + 4754.46i) q^{87} +(2554.49 - 3946.27i) q^{88} +7653.39 q^{89} +(-10701.1 - 1178.34i) q^{90} +13988.4i q^{91} +(4743.18 - 2527.96i) q^{92} +(2188.78 + 10001.7i) q^{93} +(2330.51 - 3882.93i) q^{94} +(9041.87 - 5220.33i) q^{95} +(8513.52 + 3529.10i) q^{96} +(-6366.75 + 11027.5i) q^{97} +(-945.149 + 524.510i) q^{98} +(2485.01 + 5405.75i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0678484 3.99942i 0.0169621 0.999856i
\(3\) −2.72970 + 8.57606i −0.303300 + 0.952895i
\(4\) −15.9908 0.542709i −0.999425 0.0339193i
\(5\) 16.6139 + 28.7760i 0.664554 + 1.15104i 0.979406 + 0.201901i \(0.0647118\pi\)
−0.314852 + 0.949141i \(0.601955\pi\)
\(6\) 34.1141 + 11.4991i 0.947613 + 0.319419i
\(7\) 39.9759 + 23.0801i 0.815835 + 0.471023i 0.848978 0.528428i \(-0.177218\pi\)
−0.0331429 + 0.999451i \(0.510552\pi\)
\(8\) −3.25547 + 63.9171i −0.0508667 + 0.998705i
\(9\) −66.0975 46.8201i −0.816018 0.578026i
\(10\) 116.215 64.4935i 1.16215 0.644935i
\(11\) −63.6109 36.7258i −0.525710 0.303519i 0.213558 0.976930i \(-0.431495\pi\)
−0.739268 + 0.673412i \(0.764828\pi\)
\(12\) 48.3044 135.657i 0.335447 0.942059i
\(13\) 151.520 + 262.440i 0.896566 + 1.55290i 0.831855 + 0.554993i \(0.187279\pi\)
0.0647110 + 0.997904i \(0.479387\pi\)
\(14\) 95.0195 158.315i 0.484793 0.807728i
\(15\) −292.136 + 63.9314i −1.29838 + 0.284140i
\(16\) 255.411 + 17.3567i 0.997699 + 0.0677996i
\(17\) −182.019 −0.629823 −0.314912 0.949121i \(-0.601975\pi\)
−0.314912 + 0.949121i \(0.601975\pi\)
\(18\) −191.738 + 261.175i −0.591784 + 0.806096i
\(19\) 314.215i 0.870402i −0.900333 0.435201i \(-0.856677\pi\)
0.900333 0.435201i \(-0.143323\pi\)
\(20\) −250.052 469.168i −0.625129 1.17292i
\(21\) −307.059 + 279.834i −0.696278 + 0.634544i
\(22\) −151.198 + 251.915i −0.312392 + 0.520486i
\(23\) −290.919 + 167.962i −0.549941 + 0.317509i −0.749098 0.662459i \(-0.769513\pi\)
0.199157 + 0.979968i \(0.436180\pi\)
\(24\) −539.271 202.394i −0.936234 0.351378i
\(25\) −239.540 + 414.896i −0.383265 + 0.663834i
\(26\) 1059.89 588.185i 1.56788 0.870096i
\(27\) 581.958 439.051i 0.798297 0.602265i
\(28\) −626.721 390.765i −0.799389 0.498424i
\(29\) 357.370 618.983i 0.424935 0.736008i −0.571480 0.820616i \(-0.693630\pi\)
0.996414 + 0.0846079i \(0.0269638\pi\)
\(30\) 235.868 + 1172.71i 0.262075 + 1.30301i
\(31\) 985.186 568.798i 1.02517 0.591881i 0.109571 0.993979i \(-0.465052\pi\)
0.915597 + 0.402098i \(0.131719\pi\)
\(32\) 86.7460 1020.32i 0.0847129 0.996405i
\(33\) 488.601 445.280i 0.448669 0.408889i
\(34\) −12.3497 + 727.971i −0.0106831 + 0.629733i
\(35\) 1533.80i 1.25208i
\(36\) 1031.54 + 784.562i 0.795942 + 0.605372i
\(37\) 1008.45 0.736632 0.368316 0.929701i \(-0.379934\pi\)
0.368316 + 0.929701i \(0.379934\pi\)
\(38\) −1256.68 21.3190i −0.870277 0.0147638i
\(39\) −2664.30 + 583.059i −1.75168 + 0.383339i
\(40\) −1893.37 + 968.231i −1.18336 + 0.605144i
\(41\) −557.553 965.709i −0.331679 0.574485i 0.651162 0.758939i \(-0.274282\pi\)
−0.982841 + 0.184454i \(0.940948\pi\)
\(42\) 1098.34 + 1247.04i 0.622643 + 0.706941i
\(43\) 2182.06 + 1259.82i 1.18013 + 0.681349i 0.956045 0.293220i \(-0.0947268\pi\)
0.224087 + 0.974569i \(0.428060\pi\)
\(44\) 997.257 + 621.796i 0.515112 + 0.321176i
\(45\) 249.164 2679.89i 0.123044 1.32340i
\(46\) 652.014 + 1174.90i 0.308135 + 0.555248i
\(47\) 980.476 + 566.078i 0.443855 + 0.256260i 0.705232 0.708977i \(-0.250843\pi\)
−0.261376 + 0.965237i \(0.584176\pi\)
\(48\) −846.047 + 2143.04i −0.367208 + 0.930139i
\(49\) −135.117 234.029i −0.0562752 0.0974714i
\(50\) 1643.09 + 986.173i 0.657237 + 0.394469i
\(51\) 496.857 1561.00i 0.191025 0.600156i
\(52\) −2280.49 4278.85i −0.843377 1.58241i
\(53\) −1057.77 −0.376566 −0.188283 0.982115i \(-0.560292\pi\)
−0.188283 + 0.982115i \(0.560292\pi\)
\(54\) −1716.47 2357.29i −0.588637 0.808397i
\(55\) 2440.63i 0.806818i
\(56\) −1605.36 + 2480.01i −0.511912 + 0.790820i
\(57\) 2694.73 + 857.713i 0.829402 + 0.263993i
\(58\) −2451.33 1471.27i −0.728695 0.437358i
\(59\) 878.476 507.188i 0.252363 0.145702i −0.368483 0.929635i \(-0.620123\pi\)
0.620846 + 0.783933i \(0.286789\pi\)
\(60\) 4706.18 863.769i 1.30727 0.239936i
\(61\) −430.304 + 745.308i −0.115642 + 0.200298i −0.918036 0.396497i \(-0.870226\pi\)
0.802394 + 0.596794i \(0.203559\pi\)
\(62\) −2208.02 3978.77i −0.574407 1.03506i
\(63\) −1561.69 3397.22i −0.393473 0.855937i
\(64\) −4074.80 416.161i −0.994825 0.101602i
\(65\) −5034.65 + 8720.27i −1.19163 + 2.06397i
\(66\) −1747.71 1984.33i −0.401220 0.455540i
\(67\) 559.041 322.762i 0.124536 0.0719008i −0.436438 0.899734i \(-0.643760\pi\)
0.560974 + 0.827834i \(0.310427\pi\)
\(68\) 2910.63 + 98.7833i 0.629461 + 0.0213632i
\(69\) −646.331 2953.42i −0.135755 0.620337i
\(70\) 6134.31 + 104.066i 1.25190 + 0.0212379i
\(71\) 9567.89i 1.89801i 0.315254 + 0.949007i \(0.397910\pi\)
−0.315254 + 0.949007i \(0.602090\pi\)
\(72\) 3207.79 4072.34i 0.618786 0.785560i
\(73\) 1899.10 0.356372 0.178186 0.983997i \(-0.442977\pi\)
0.178186 + 0.983997i \(0.442977\pi\)
\(74\) 68.4216 4033.22i 0.0124948 0.736526i
\(75\) −2904.30 3186.85i −0.516320 0.566552i
\(76\) −170.527 + 5024.55i −0.0295234 + 0.869902i
\(77\) −1695.27 2936.29i −0.285928 0.495242i
\(78\) 2151.13 + 10695.2i 0.353572 + 1.75793i
\(79\) −6768.11 3907.57i −1.08446 0.626113i −0.152363 0.988325i \(-0.548688\pi\)
−0.932096 + 0.362212i \(0.882022\pi\)
\(80\) 3743.90 + 7638.08i 0.584985 + 1.19345i
\(81\) 2176.75 + 6189.38i 0.331772 + 0.943360i
\(82\) −3900.11 + 2164.37i −0.580028 + 0.321887i
\(83\) −7052.56 4071.80i −1.02374 0.591058i −0.108556 0.994090i \(-0.534623\pi\)
−0.915186 + 0.403032i \(0.867956\pi\)
\(84\) 5061.98 4308.12i 0.717401 0.610562i
\(85\) −3024.04 5237.78i −0.418552 0.724953i
\(86\) 5186.58 8641.52i 0.701269 1.16840i
\(87\) 4332.92 + 4754.46i 0.572456 + 0.628149i
\(88\) 2554.49 3946.27i 0.329867 0.509590i
\(89\) 7653.39 0.966215 0.483107 0.875561i \(-0.339508\pi\)
0.483107 + 0.875561i \(0.339508\pi\)
\(90\) −10701.1 1178.34i −1.32112 0.145474i
\(91\) 13988.4i 1.68921i
\(92\) 4743.18 2527.96i 0.560395 0.298673i
\(93\) 2188.78 + 10001.7i 0.253067 + 1.15640i
\(94\) 2330.51 3882.93i 0.263752 0.439445i
\(95\) 9041.87 5220.33i 1.00187 0.578430i
\(96\) 8513.52 + 3529.10i 0.923776 + 0.382932i
\(97\) −6366.75 + 11027.5i −0.676666 + 1.17202i 0.299313 + 0.954155i \(0.403243\pi\)
−0.975979 + 0.217865i \(0.930091\pi\)
\(98\) −945.149 + 524.510i −0.0984120 + 0.0546137i
\(99\) 2485.01 + 5405.75i 0.253547 + 0.551551i
\(100\) 4055.61 6504.52i 0.405561 0.650452i
\(101\) 6873.20 11904.7i 0.673777 1.16702i −0.303048 0.952975i \(-0.598004\pi\)
0.976825 0.214040i \(-0.0686624\pi\)
\(102\) −6209.41 2093.05i −0.596829 0.201178i
\(103\) 11251.5 6496.03i 1.06056 0.612313i 0.134971 0.990850i \(-0.456906\pi\)
0.925587 + 0.378536i \(0.123572\pi\)
\(104\) −17267.7 + 8830.34i −1.59649 + 0.816414i
\(105\) −13153.9 4186.81i −1.19310 0.379756i
\(106\) −71.7682 + 4230.49i −0.00638734 + 0.376512i
\(107\) 14891.8i 1.30071i −0.759631 0.650354i \(-0.774621\pi\)
0.759631 0.650354i \(-0.225379\pi\)
\(108\) −9544.25 + 6704.94i −0.818266 + 0.574840i
\(109\) 7539.02 0.634544 0.317272 0.948335i \(-0.397233\pi\)
0.317272 + 0.948335i \(0.397233\pi\)
\(110\) −9761.10 165.592i −0.806702 0.0136853i
\(111\) −2752.76 + 8648.52i −0.223421 + 0.701933i
\(112\) 9809.70 + 6588.76i 0.782023 + 0.525252i
\(113\) 496.140 + 859.339i 0.0388550 + 0.0672988i 0.884799 0.465973i \(-0.154296\pi\)
−0.845944 + 0.533272i \(0.820962\pi\)
\(114\) 3613.19 10719.2i 0.278023 0.824805i
\(115\) −9666.57 5581.00i −0.730932 0.422004i
\(116\) −6050.56 + 9704.08i −0.449655 + 0.721171i
\(117\) 2272.39 24440.8i 0.166001 1.78543i
\(118\) −1968.86 3547.81i −0.141400 0.254798i
\(119\) −7276.38 4201.02i −0.513832 0.296661i
\(120\) −3135.27 18880.6i −0.217727 1.31115i
\(121\) −4622.94 8007.16i −0.315753 0.546900i
\(122\) 2951.61 + 1771.54i 0.198307 + 0.119023i
\(123\) 9803.93 2145.51i 0.648022 0.141814i
\(124\) −16062.6 + 8560.86i −1.04465 + 0.556767i
\(125\) 4848.57 0.310308
\(126\) −13692.9 + 6015.38i −0.862488 + 0.378898i
\(127\) 7123.52i 0.441659i 0.975312 + 0.220829i \(0.0708764\pi\)
−0.975312 + 0.220829i \(0.929124\pi\)
\(128\) −1940.87 + 16268.6i −0.118461 + 0.992959i
\(129\) −16760.6 + 15274.6i −1.00719 + 0.917889i
\(130\) 34534.5 + 20727.4i 2.04346 + 1.22647i
\(131\) −6027.16 + 3479.78i −0.351212 + 0.202773i −0.665219 0.746648i \(-0.731662\pi\)
0.314007 + 0.949421i \(0.398329\pi\)
\(132\) −8054.77 + 6855.22i −0.462280 + 0.393435i
\(133\) 7252.12 12561.0i 0.409979 0.710105i
\(134\) −1252.93 2257.74i −0.0697780 0.125737i
\(135\) 22302.7 + 9452.13i 1.22374 + 0.518635i
\(136\) 592.557 11634.1i 0.0320371 0.629008i
\(137\) 4244.42 7351.56i 0.226140 0.391686i −0.730521 0.682891i \(-0.760723\pi\)
0.956661 + 0.291204i \(0.0940559\pi\)
\(138\) −11855.9 + 2384.57i −0.622550 + 0.125214i
\(139\) −18483.9 + 10671.7i −0.956673 + 0.552335i −0.895147 0.445770i \(-0.852930\pi\)
−0.0615252 + 0.998106i \(0.519596\pi\)
\(140\) 832.406 24526.7i 0.0424697 1.25136i
\(141\) −7531.12 + 6863.39i −0.378810 + 0.345224i
\(142\) 38266.1 + 649.166i 1.89774 + 0.0321943i
\(143\) 22258.7i 1.08850i
\(144\) −16069.4 13105.6i −0.774951 0.632022i
\(145\) 23749.2 1.12957
\(146\) 128.851 7595.32i 0.00604481 0.356320i
\(147\) 2375.87 519.939i 0.109948 0.0240612i
\(148\) −16125.9 547.294i −0.736208 0.0249860i
\(149\) 6366.78 + 11027.6i 0.286779 + 0.496716i 0.973039 0.230640i \(-0.0740821\pi\)
−0.686260 + 0.727356i \(0.740749\pi\)
\(150\) −12942.6 + 11399.3i −0.575228 + 0.506636i
\(151\) −3061.84 1767.75i −0.134285 0.0775296i 0.431352 0.902184i \(-0.358037\pi\)
−0.565638 + 0.824654i \(0.691370\pi\)
\(152\) 20083.7 + 1022.92i 0.869276 + 0.0442745i
\(153\) 12031.0 + 8522.15i 0.513947 + 0.364054i
\(154\) −11858.5 + 6580.88i −0.500021 + 0.277487i
\(155\) 32735.5 + 18899.8i 1.36256 + 0.786674i
\(156\) 42920.7 7877.64i 1.76367 0.323703i
\(157\) −14870.6 25756.6i −0.603292 1.04493i −0.992319 0.123706i \(-0.960522\pi\)
0.389027 0.921227i \(-0.372811\pi\)
\(158\) −16087.2 + 26803.4i −0.644417 + 1.07368i
\(159\) 2887.40 9071.53i 0.114212 0.358828i
\(160\) 30801.9 14455.2i 1.20320 0.564657i
\(161\) −15506.3 −0.598216
\(162\) 24901.7 8285.82i 0.948852 0.315722i
\(163\) 5903.96i 0.222213i −0.993809 0.111106i \(-0.964561\pi\)
0.993809 0.111106i \(-0.0354394\pi\)
\(164\) 8391.61 + 15745.0i 0.312002 + 0.585405i
\(165\) 20930.9 + 6662.18i 0.768813 + 0.244708i
\(166\) −16763.4 + 27929.9i −0.608338 + 1.01357i
\(167\) −17810.7 + 10283.0i −0.638628 + 0.368712i −0.784086 0.620652i \(-0.786868\pi\)
0.145458 + 0.989364i \(0.453535\pi\)
\(168\) −16886.6 20537.3i −0.598305 0.727654i
\(169\) −31635.9 + 54795.0i −1.10766 + 1.91852i
\(170\) −21153.3 + 11739.0i −0.731948 + 0.406195i
\(171\) −14711.6 + 20768.8i −0.503115 + 0.710264i
\(172\) −34209.2 21329.7i −1.15634 0.720987i
\(173\) −3054.99 + 5291.39i −0.102074 + 0.176798i −0.912539 0.408989i \(-0.865881\pi\)
0.810465 + 0.585787i \(0.199215\pi\)
\(174\) 19309.1 17006.6i 0.637769 0.561719i
\(175\) −19151.7 + 11057.2i −0.625361 + 0.361053i
\(176\) −15609.5 10484.2i −0.503922 0.338463i
\(177\) 1951.70 + 8918.33i 0.0622969 + 0.284667i
\(178\) 519.270 30609.1i 0.0163890 0.966076i
\(179\) 11534.8i 0.360001i −0.983667 0.180001i \(-0.942390\pi\)
0.983667 0.180001i \(-0.0576099\pi\)
\(180\) −5438.72 + 42718.3i −0.167862 + 1.31847i
\(181\) −25544.2 −0.779713 −0.389857 0.920876i \(-0.627475\pi\)
−0.389857 + 0.920876i \(0.627475\pi\)
\(182\) 55945.4 + 949.087i 1.68897 + 0.0286526i
\(183\) −5217.20 5724.78i −0.155789 0.170945i
\(184\) −9788.59 19141.5i −0.289124 0.565380i
\(185\) 16754.2 + 29019.2i 0.489532 + 0.847894i
\(186\) 40149.4 8075.25i 1.16052 0.233416i
\(187\) 11578.4 + 6684.78i 0.331104 + 0.191163i
\(188\) −15371.4 9584.15i −0.434908 0.271168i
\(189\) 33397.7 4119.80i 0.934959 0.115333i
\(190\) −20264.8 36516.5i −0.561353 1.01154i
\(191\) −33833.7 19533.9i −0.927433 0.535454i −0.0414344 0.999141i \(-0.513193\pi\)
−0.885999 + 0.463687i \(0.846526\pi\)
\(192\) 14692.0 33809.8i 0.398546 0.917148i
\(193\) −13915.2 24101.8i −0.373572 0.647045i 0.616541 0.787323i \(-0.288534\pi\)
−0.990112 + 0.140278i \(0.955200\pi\)
\(194\) 43671.8 + 26211.5i 1.16037 + 0.696449i
\(195\) −61042.4 66981.2i −1.60532 1.76150i
\(196\) 2033.61 + 3815.64i 0.0529366 + 0.0993242i
\(197\) −21103.0 −0.543765 −0.271883 0.962330i \(-0.587646\pi\)
−0.271883 + 0.962330i \(0.587646\pi\)
\(198\) 21788.5 9571.86i 0.555772 0.244155i
\(199\) 5447.97i 0.137572i −0.997631 0.0687858i \(-0.978087\pi\)
0.997631 0.0687858i \(-0.0219125\pi\)
\(200\) −25739.2 16661.4i −0.643479 0.416535i
\(201\) 1242.02 + 5675.41i 0.0307422 + 0.140477i
\(202\) −47145.7 28296.5i −1.15542 0.693475i
\(203\) 28572.4 16496.3i 0.693353 0.400308i
\(204\) −8792.31 + 24692.1i −0.211272 + 0.593331i
\(205\) 18526.2 32088.3i 0.440837 0.763553i
\(206\) −25217.0 45440.1i −0.594236 1.07079i
\(207\) 27093.0 + 2518.99i 0.632291 + 0.0587875i
\(208\) 34144.7 + 69659.8i 0.789217 + 1.61011i
\(209\) −11539.8 + 19987.5i −0.264183 + 0.457579i
\(210\) −17637.3 + 52324.1i −0.399939 + 1.18649i
\(211\) 59935.1 34603.5i 1.34622 0.777241i 0.358509 0.933526i \(-0.383285\pi\)
0.987712 + 0.156286i \(0.0499520\pi\)
\(212\) 16914.6 + 574.063i 0.376349 + 0.0127729i
\(213\) −82054.8 26117.5i −1.80861 0.575668i
\(214\) −59558.7 1010.38i −1.30052 0.0220627i
\(215\) 83721.5i 1.81117i
\(216\) 26168.3 + 38626.4i 0.560878 + 0.827898i
\(217\) 52511.7 1.11516
\(218\) 511.510 30151.8i 0.0107632 0.634453i
\(219\) −5183.98 + 16286.8i −0.108088 + 0.339585i
\(220\) −1324.55 + 39027.5i −0.0273667 + 0.806354i
\(221\) −27579.4 47769.0i −0.564678 0.978051i
\(222\) 34402.3 + 11596.3i 0.698043 + 0.235295i
\(223\) −21934.5 12663.9i −0.441080 0.254658i 0.262976 0.964802i \(-0.415296\pi\)
−0.704056 + 0.710145i \(0.748629\pi\)
\(224\) 27016.8 38786.1i 0.538441 0.773001i
\(225\) 35258.5 16208.3i 0.696464 0.320163i
\(226\) 3470.52 1925.97i 0.0679482 0.0377079i
\(227\) 84184.1 + 48603.7i 1.63372 + 0.943230i 0.982931 + 0.183975i \(0.0588964\pi\)
0.650792 + 0.759256i \(0.274437\pi\)
\(228\) −42625.3 15178.0i −0.819971 0.291974i
\(229\) 42946.4 + 74385.3i 0.818947 + 1.41846i 0.906459 + 0.422294i \(0.138775\pi\)
−0.0875119 + 0.996163i \(0.527892\pi\)
\(230\) −22976.6 + 38282.1i −0.434341 + 0.723669i
\(231\) 29809.4 6523.53i 0.558636 0.122253i
\(232\) 38400.2 + 24857.2i 0.713440 + 0.461823i
\(233\) −12774.0 −0.235297 −0.117649 0.993055i \(-0.537536\pi\)
−0.117649 + 0.993055i \(0.537536\pi\)
\(234\) −97594.8 10746.5i −1.78236 0.196262i
\(235\) 37619.0i 0.681194i
\(236\) −14322.8 + 7633.59i −0.257160 + 0.137058i
\(237\) 51986.4 47377.2i 0.925536 0.843476i
\(238\) −17295.3 + 28816.3i −0.305334 + 0.508726i
\(239\) −91748.4 + 52971.0i −1.60621 + 0.927347i −0.616005 + 0.787742i \(0.711250\pi\)
−0.990207 + 0.139605i \(0.955417\pi\)
\(240\) −75724.3 + 11258.3i −1.31466 + 0.195456i
\(241\) 5089.73 8815.67i 0.0876316 0.151782i −0.818878 0.573968i \(-0.805404\pi\)
0.906510 + 0.422185i \(0.138737\pi\)
\(242\) −32337.7 + 17945.8i −0.552177 + 0.306431i
\(243\) −59022.4 + 1772.80i −0.999549 + 0.0300225i
\(244\) 7285.38 11684.5i 0.122369 0.196260i
\(245\) 4489.62 7776.25i 0.0747958 0.129550i
\(246\) −7915.61 39355.6i −0.130802 0.650334i
\(247\) 82462.6 47609.8i 1.35165 0.780373i
\(248\) 33148.7 + 64822.0i 0.538968 + 1.05395i
\(249\) 54171.3 49368.4i 0.873717 0.796251i
\(250\) 328.967 19391.5i 0.00526347 0.310264i
\(251\) 21848.1i 0.346790i −0.984852 0.173395i \(-0.944526\pi\)
0.984852 0.173395i \(-0.0554738\pi\)
\(252\) 23129.0 + 55171.7i 0.364214 + 0.868791i
\(253\) 24674.2 0.385479
\(254\) 28490.0 + 483.319i 0.441595 + 0.00749146i
\(255\) 53174.2 11636.7i 0.817751 0.178958i
\(256\) 64933.5 + 8866.17i 0.990806 + 0.135287i
\(257\) −27780.7 48117.6i −0.420608 0.728514i 0.575391 0.817878i \(-0.304850\pi\)
−0.995999 + 0.0893643i \(0.971516\pi\)
\(258\) 59952.4 + 68069.2i 0.900673 + 1.02261i
\(259\) 40313.7 + 23275.1i 0.600971 + 0.346971i
\(260\) 85240.6 136712.i 1.26096 2.02236i
\(261\) −52602.1 + 24181.1i −0.772186 + 0.354973i
\(262\) 13508.2 + 24341.3i 0.196786 + 0.354601i
\(263\) −21792.0 12581.6i −0.315055 0.181897i 0.334131 0.942527i \(-0.391557\pi\)
−0.649186 + 0.760629i \(0.724890\pi\)
\(264\) 26870.4 + 32679.6i 0.385537 + 0.468887i
\(265\) −17573.7 30438.5i −0.250248 0.433443i
\(266\) −49744.9 29856.6i −0.703049 0.421965i
\(267\) −20891.4 + 65635.9i −0.293053 + 0.920701i
\(268\) −9114.67 + 4857.83i −0.126903 + 0.0676352i
\(269\) 54154.0 0.748386 0.374193 0.927351i \(-0.377920\pi\)
0.374193 + 0.927351i \(0.377920\pi\)
\(270\) 39316.3 88556.7i 0.539318 1.21477i
\(271\) 94942.5i 1.29277i −0.763011 0.646386i \(-0.776280\pi\)
0.763011 0.646386i \(-0.223720\pi\)
\(272\) −46489.6 3159.25i −0.628374 0.0427017i
\(273\) −119965. 38184.0i −1.60964 0.512338i
\(274\) −29114.0 17474.0i −0.387794 0.232751i
\(275\) 30474.7 17594.6i 0.402972 0.232656i
\(276\) 8732.50 + 47578.4i 0.114636 + 0.624585i
\(277\) −54019.7 + 93564.9i −0.704033 + 1.21942i 0.263006 + 0.964794i \(0.415286\pi\)
−0.967039 + 0.254627i \(0.918047\pi\)
\(278\) 41426.4 + 74648.9i 0.536029 + 0.965904i
\(279\) −91749.5 8530.45i −1.17868 0.109588i
\(280\) −98036.0 4993.24i −1.25046 0.0636893i
\(281\) 34463.0 59691.7i 0.436456 0.755964i −0.560957 0.827845i \(-0.689567\pi\)
0.997413 + 0.0718805i \(0.0229000\pi\)
\(282\) 26938.7 + 30585.8i 0.338749 + 0.384611i
\(283\) −39154.2 + 22605.7i −0.488884 + 0.282257i −0.724111 0.689683i \(-0.757750\pi\)
0.235228 + 0.971940i \(0.424416\pi\)
\(284\) 5192.58 152998.i 0.0643793 1.89692i
\(285\) 20088.2 + 91793.5i 0.247316 + 1.13011i
\(286\) −89022.0 1510.22i −1.08834 0.0184632i
\(287\) 51473.5i 0.624914i
\(288\) −53505.2 + 63379.1i −0.645076 + 0.764119i
\(289\) −50390.1 −0.603323
\(290\) 1611.34 94983.0i 0.0191598 1.12941i
\(291\) −77193.4 84703.5i −0.911579 1.00027i
\(292\) −30368.2 1030.66i −0.356167 0.0120879i
\(293\) 35853.6 + 62100.3i 0.417636 + 0.723366i 0.995701 0.0926242i \(-0.0295255\pi\)
−0.578065 + 0.815990i \(0.696192\pi\)
\(294\) −1918.26 9537.40i −0.0221928 0.110341i
\(295\) 29189.7 + 16852.7i 0.335418 + 0.193654i
\(296\) −3282.98 + 64457.2i −0.0374701 + 0.735679i
\(297\) −53143.3 + 6555.55i −0.602471 + 0.0743184i
\(298\) 44536.0 24715.3i 0.501509 0.278313i
\(299\) −88159.9 50899.1i −0.986117 0.569335i
\(300\) 44712.5 + 52536.5i 0.496806 + 0.583739i
\(301\) 58153.4 + 100725.i 0.641862 + 1.11174i
\(302\) −7277.73 + 12125.6i −0.0797962 + 0.132951i
\(303\) 83333.8 + 91441.2i 0.907687 + 0.995994i
\(304\) 5453.74 80254.0i 0.0590129 0.868400i
\(305\) −28596.0 −0.307401
\(306\) 34900.0 47538.8i 0.372720 0.507698i
\(307\) 95866.9i 1.01717i 0.861013 + 0.508583i \(0.169830\pi\)
−0.861013 + 0.508583i \(0.830170\pi\)
\(308\) 25515.2 + 47873.7i 0.268966 + 0.504656i
\(309\) 24997.2 + 114225.i 0.261803 + 1.19632i
\(310\) 77809.5 129641.i 0.809673 1.34902i
\(311\) 20844.0 12034.3i 0.215506 0.124423i −0.388362 0.921507i \(-0.626959\pi\)
0.603868 + 0.797085i \(0.293626\pi\)
\(312\) −28593.9 172193.i −0.293741 1.76891i
\(313\) 49654.5 86004.2i 0.506839 0.877871i −0.493130 0.869956i \(-0.664147\pi\)
0.999969 0.00791525i \(-0.00251953\pi\)
\(314\) −104020. + 57726.1i −1.05502 + 0.585481i
\(315\) 71812.6 101380.i 0.723735 1.02172i
\(316\) 106107. + 66158.2i 1.06260 + 0.662536i
\(317\) −29720.5 + 51477.4i −0.295759 + 0.512269i −0.975161 0.221497i \(-0.928906\pi\)
0.679402 + 0.733766i \(0.262239\pi\)
\(318\) −36085.0 12163.4i −0.356839 0.120282i
\(319\) −45465.2 + 26249.4i −0.446785 + 0.257951i
\(320\) −55722.7 124171.i −0.544167 1.21261i
\(321\) 127713. + 40650.2i 1.23944 + 0.394505i
\(322\) −1052.08 + 62016.5i −0.0101470 + 0.598129i
\(323\) 57193.1i 0.548200i
\(324\) −31449.0 100154.i −0.299583 0.954070i
\(325\) −145180. −1.37449
\(326\) −23612.5 400.574i −0.222181 0.00376919i
\(327\) −20579.3 + 64655.1i −0.192457 + 0.604654i
\(328\) 63540.5 32493.3i 0.590613 0.302028i
\(329\) 26130.3 + 45259.0i 0.241408 + 0.418132i
\(330\) 28065.0 83259.7i 0.257713 0.764552i
\(331\) −79852.0 46102.6i −0.728836 0.420794i 0.0891599 0.996017i \(-0.471582\pi\)
−0.817996 + 0.575223i \(0.804915\pi\)
\(332\) 110566. + 68938.8i 1.00310 + 0.625442i
\(333\) −66656.0 47215.7i −0.601105 0.425793i
\(334\) 39917.7 + 71930.3i 0.357827 + 0.644791i
\(335\) 18575.7 + 10724.7i 0.165522 + 0.0955639i
\(336\) −83283.1 + 66143.2i −0.737698 + 0.585877i
\(337\) −22954.2 39757.8i −0.202117 0.350076i 0.747094 0.664719i \(-0.231449\pi\)
−0.949210 + 0.314643i \(0.898115\pi\)
\(338\) 217002. + 130243.i 1.89946 + 1.14004i
\(339\) −8724.05 + 1909.18i −0.0759135 + 0.0166130i
\(340\) 45514.1 + 85397.5i 0.393721 + 0.738733i
\(341\) −83558.1 −0.718588
\(342\) 82065.2 + 60247.1i 0.701628 + 0.515091i
\(343\) 123305.i 1.04807i
\(344\) −87627.4 + 135370.i −0.740497 + 1.14395i
\(345\) 74249.8 67666.6i 0.623817 0.568508i
\(346\) 20955.3 + 12577.2i 0.175041 + 0.105059i
\(347\) 131615. 75987.9i 1.09306 0.631081i 0.158674 0.987331i \(-0.449278\pi\)
0.934391 + 0.356250i \(0.115945\pi\)
\(348\) −66706.5 78379.1i −0.550820 0.647205i
\(349\) 93645.6 162199.i 0.768841 1.33167i −0.169350 0.985556i \(-0.554167\pi\)
0.938192 0.346116i \(-0.112500\pi\)
\(350\) 42923.2 + 77346.0i 0.350393 + 0.631396i
\(351\) 203402. + 86204.1i 1.65098 + 0.699703i
\(352\) −42990.0 + 61717.6i −0.346962 + 0.498108i
\(353\) −22707.8 + 39331.1i −0.182232 + 0.315636i −0.942640 0.333810i \(-0.891666\pi\)
0.760408 + 0.649446i \(0.224999\pi\)
\(354\) 35800.6 7200.58i 0.285683 0.0574594i
\(355\) −275326. + 158960.i −2.18469 + 1.26133i
\(356\) −122384. 4153.56i −0.965659 0.0327733i
\(357\) 55890.5 50935.1i 0.438532 0.399651i
\(358\) −46132.5 782.617i −0.359949 0.00610637i
\(359\) 71504.2i 0.554808i 0.960753 + 0.277404i \(0.0894740\pi\)
−0.960753 + 0.277404i \(0.910526\pi\)
\(360\) 170480. + 24650.1i 1.31543 + 0.190202i
\(361\) 31589.8 0.242400
\(362\) −1733.13 + 102162.i −0.0132256 + 0.779601i
\(363\) 81289.1 17789.4i 0.616906 0.135005i
\(364\) 7591.61 223685.i 0.0572969 1.68824i
\(365\) 31551.4 + 54648.7i 0.236828 + 0.410199i
\(366\) −23249.8 + 20477.4i −0.173563 + 0.152867i
\(367\) −57406.0 33143.4i −0.426211 0.246073i 0.271520 0.962433i \(-0.412474\pi\)
−0.697731 + 0.716360i \(0.745807\pi\)
\(368\) −77219.2 + 37850.0i −0.570203 + 0.279492i
\(369\) −8361.81 + 89935.6i −0.0614112 + 0.660509i
\(370\) 117197. 65038.4i 0.856076 0.475080i
\(371\) −42285.5 24413.5i −0.307216 0.177371i
\(372\) −29572.3 161122.i −0.213697 1.16431i
\(373\) −71784.3 124334.i −0.515955 0.893660i −0.999828 0.0185223i \(-0.994104\pi\)
0.483873 0.875138i \(-0.339229\pi\)
\(374\) 27520.9 45853.3i 0.196752 0.327814i
\(375\) −13235.1 + 41581.6i −0.0941165 + 0.295691i
\(376\) −39374.0 + 60826.4i −0.278506 + 0.430245i
\(377\) 216594. 1.52393
\(378\) −14210.9 133851.i −0.0994574 0.936781i
\(379\) 183178.i 1.27525i 0.770348 + 0.637624i \(0.220083\pi\)
−0.770348 + 0.637624i \(0.779917\pi\)
\(380\) −147420. + 78570.1i −1.02091 + 0.544114i
\(381\) −61091.7 19445.1i −0.420855 0.133955i
\(382\) −80419.9 + 133990.i −0.551108 + 0.918218i
\(383\) 15175.9 8761.79i 0.103456 0.0597303i −0.447379 0.894344i \(-0.647643\pi\)
0.550835 + 0.834614i \(0.314309\pi\)
\(384\) −134223. 61053.5i −0.910256 0.414046i
\(385\) 56329.9 97566.3i 0.380030 0.658231i
\(386\) −97337.4 + 54017.4i −0.653288 + 0.362543i
\(387\) −85244.2 185435.i −0.569171 1.23814i
\(388\) 107794. 172884.i 0.716031 1.14839i
\(389\) −38430.8 + 66564.0i −0.253968 + 0.439886i −0.964615 0.263663i \(-0.915069\pi\)
0.710646 + 0.703549i \(0.248403\pi\)
\(390\) −272028. + 239590.i −1.78848 + 1.57521i
\(391\) 52952.8 30572.3i 0.346366 0.199974i
\(392\) 15398.3 7874.40i 0.100208 0.0512443i
\(393\) −13390.5 61188.0i −0.0866983 0.396169i
\(394\) −1431.80 + 84399.8i −0.00922340 + 0.543687i
\(395\) 259679.i 1.66434i
\(396\) −36803.6 87790.9i −0.234693 0.559834i
\(397\) −73295.7 −0.465047 −0.232524 0.972591i \(-0.574698\pi\)
−0.232524 + 0.972591i \(0.574698\pi\)
\(398\) −21788.8 369.636i −0.137552 0.00233350i
\(399\) 87928.1 + 96482.5i 0.552309 + 0.606042i
\(400\) −68382.4 + 101811.i −0.427390 + 0.636321i
\(401\) −142274. 246426.i −0.884784 1.53249i −0.845961 0.533244i \(-0.820973\pi\)
−0.0388226 0.999246i \(-0.512361\pi\)
\(402\) 22782.6 4582.28i 0.140978 0.0283550i
\(403\) 298550. + 172368.i 1.83826 + 1.06132i
\(404\) −116369. + 186636.i −0.712973 + 1.14349i
\(405\) −141942. + 165468.i −0.865366 + 1.00880i
\(406\) −64037.0 115392.i −0.388489 0.700044i
\(407\) −64148.4 37036.1i −0.387255 0.223582i
\(408\) 98157.5 + 36839.5i 0.589662 + 0.221306i
\(409\) 56577.0 + 97994.2i 0.338215 + 0.585806i 0.984097 0.177632i \(-0.0568435\pi\)
−0.645882 + 0.763437i \(0.723510\pi\)
\(410\) −127078. 76271.3i −0.755965 0.453725i
\(411\) 51461.4 + 56468.0i 0.304648 + 0.334286i
\(412\) −183445. + 97770.4i −1.08072 + 0.575988i
\(413\) 46823.9 0.274516
\(414\) 11912.7 108186.i 0.0695040 0.631203i
\(415\) 270593.i 1.57116i
\(416\) 280916. 131833.i 1.62327 0.761793i
\(417\) −41065.4 187649.i −0.236159 1.07913i
\(418\) 79155.6 + 47508.7i 0.453032 + 0.271907i
\(419\) 237314. 137013.i 1.35175 0.780431i 0.363252 0.931691i \(-0.381666\pi\)
0.988494 + 0.151260i \(0.0483331\pi\)
\(420\) 208070. + 74089.2i 1.17953 + 0.420007i
\(421\) −6241.89 + 10811.3i −0.0352170 + 0.0609976i −0.883097 0.469191i \(-0.844546\pi\)
0.847880 + 0.530189i \(0.177879\pi\)
\(422\) −134328. 242054.i −0.754294 1.35921i
\(423\) −38303.1 83322.3i −0.214069 0.465673i
\(424\) 3443.55 67609.9i 0.0191547 0.376078i
\(425\) 43600.9 75518.9i 0.241389 0.418098i
\(426\) −110022. + 326400.i −0.606263 + 1.79858i
\(427\) −34403.6 + 19862.9i −0.188690 + 0.108940i
\(428\) −8081.91 + 238132.i −0.0441191 + 1.29996i
\(429\) 190892. + 60759.5i 1.03722 + 0.330141i
\(430\) 334838. + 5680.37i 1.81091 + 0.0307213i
\(431\) 119855.i 0.645211i 0.946533 + 0.322606i \(0.104559\pi\)
−0.946533 + 0.322606i \(0.895441\pi\)
\(432\) 156259. 102038.i 0.837293 0.546755i
\(433\) −282465. −1.50657 −0.753284 0.657696i \(-0.771531\pi\)
−0.753284 + 0.657696i \(0.771531\pi\)
\(434\) 3562.83 210016.i 0.0189154 1.11500i
\(435\) −64828.1 + 203674.i −0.342598 + 1.07636i
\(436\) −120555. 4091.49i −0.634179 0.0215233i
\(437\) 52776.3 + 91411.2i 0.276360 + 0.478670i
\(438\) 64786.2 + 21838.0i 0.337703 + 0.113832i
\(439\) −148459. 85712.8i −0.770331 0.444751i 0.0626618 0.998035i \(-0.480041\pi\)
−0.832993 + 0.553284i \(0.813374\pi\)
\(440\) 155998. + 7945.39i 0.805774 + 0.0410402i
\(441\) −2026.39 + 21794.9i −0.0104195 + 0.112067i
\(442\) −192920. + 107061.i −0.987488 + 0.548007i
\(443\) −71888.2 41504.7i −0.366311 0.211490i 0.305535 0.952181i \(-0.401165\pi\)
−0.671846 + 0.740691i \(0.734498\pi\)
\(444\) 48712.5 136803.i 0.247101 0.693951i
\(445\) 127152. + 220234.i 0.642102 + 1.11215i
\(446\) −52136.4 + 86866.0i −0.262103 + 0.436697i
\(447\) −111953. + 24499.9i −0.560298 + 0.122616i
\(448\) −153289. 110683.i −0.763757 0.551476i
\(449\) 252767. 1.25380 0.626898 0.779101i \(-0.284324\pi\)
0.626898 + 0.779101i \(0.284324\pi\)
\(450\) −62431.5 142113.i −0.308304 0.701794i
\(451\) 81906.2i 0.402683i
\(452\) −7467.29 14010.8i −0.0365499 0.0685780i
\(453\) 23518.2 21433.1i 0.114606 0.104445i
\(454\) 200099. 333390.i 0.970806 1.61749i
\(455\) −402530. + 232401.i −1.94435 + 1.12257i
\(456\) −63595.2 + 169447.i −0.305840 + 0.814900i
\(457\) 9489.80 16436.8i 0.0454386 0.0787019i −0.842412 0.538835i \(-0.818865\pi\)
0.887850 + 0.460133i \(0.152198\pi\)
\(458\) 300412. 166714.i 1.43214 0.794769i
\(459\) −105927. + 79915.6i −0.502786 + 0.379320i
\(460\) 151547. + 94490.7i 0.716197 + 0.446554i
\(461\) 97075.9 168140.i 0.456783 0.791171i −0.542006 0.840375i \(-0.682335\pi\)
0.998789 + 0.0492038i \(0.0156684\pi\)
\(462\) −24067.8 119663.i −0.112760 0.560630i
\(463\) −86227.9 + 49783.7i −0.402240 + 0.232234i −0.687450 0.726232i \(-0.741270\pi\)
0.285210 + 0.958465i \(0.407937\pi\)
\(464\) 102020. 151892.i 0.473858 0.705504i
\(465\) −251444. + 229150.i −1.16288 + 1.05978i
\(466\) −866.698 + 51088.8i −0.00399113 + 0.235263i
\(467\) 126990.i 0.582287i 0.956679 + 0.291144i \(0.0940358\pi\)
−0.956679 + 0.291144i \(0.905964\pi\)
\(468\) −49601.6 + 389594.i −0.226466 + 1.77877i
\(469\) 29797.6 0.135468
\(470\) 150454. + 2552.38i 0.681096 + 0.0115545i
\(471\) 261482. 57223.0i 1.17869 0.257946i
\(472\) 29558.2 + 57800.8i 0.132676 + 0.259448i
\(473\) −92535.3 160276.i −0.413605 0.716384i
\(474\) −185954. 211130.i −0.827655 0.939710i
\(475\) 130367. + 75267.2i 0.577802 + 0.333594i
\(476\) 114075. + 71126.6i 0.503474 + 0.313919i
\(477\) 69916.2 + 49525.1i 0.307285 + 0.217665i
\(478\) 205628. + 370535.i 0.899969 + 1.62171i
\(479\) 48437.8 + 27965.6i 0.211112 + 0.121886i 0.601828 0.798626i \(-0.294439\pi\)
−0.390716 + 0.920511i \(0.627773\pi\)
\(480\) 39888.8 + 303618.i 0.173129 + 1.31778i
\(481\) 152800. + 264657.i 0.660439 + 1.14391i
\(482\) −34912.3 20954.1i −0.150274 0.0901935i
\(483\) 42327.7 132983.i 0.181439 0.570037i
\(484\) 69578.9 + 130550.i 0.297021 + 0.557295i
\(485\) −423105. −1.79872
\(486\) 3085.61 + 236176.i 0.0130638 + 0.999915i
\(487\) 274913.i 1.15914i −0.814921 0.579572i \(-0.803220\pi\)
0.814921 0.579572i \(-0.196780\pi\)
\(488\) −46237.1 29930.1i −0.194156 0.125681i
\(489\) 50632.7 + 16116.1i 0.211745 + 0.0673971i
\(490\) −30795.9 18483.5i −0.128263 0.0769825i
\(491\) −28037.6 + 16187.5i −0.116299 + 0.0671455i −0.557021 0.830498i \(-0.688056\pi\)
0.440722 + 0.897644i \(0.354723\pi\)
\(492\) −157937. + 28987.7i −0.652460 + 0.119752i
\(493\) −65048.1 + 112667.i −0.267634 + 0.463555i
\(494\) −184817. 333033.i −0.757334 1.36469i
\(495\) −114270. + 161319.i −0.466362 + 0.658379i
\(496\) 261500. 128178.i 1.06294 0.521013i
\(497\) −220828. + 382485.i −0.894008 + 1.54847i
\(498\) −193770. 220004.i −0.781316 0.887097i
\(499\) 251446. 145172.i 1.00982 0.583019i 0.0986806 0.995119i \(-0.468538\pi\)
0.911139 + 0.412100i \(0.135204\pi\)
\(500\) −77532.4 2631.36i −0.310130 0.0105254i
\(501\) −39569.8 180815.i −0.157648 0.720376i
\(502\) −87380.0 1482.36i −0.346740 0.00588229i
\(503\) 9486.90i 0.0374963i −0.999824 0.0187481i \(-0.994032\pi\)
0.999824 0.0187481i \(-0.00596807\pi\)
\(504\) 222224. 88759.5i 0.874844 0.349425i
\(505\) 456761. 1.79104
\(506\) 1674.10 98682.4i 0.00653854 0.385424i
\(507\) −383568. 420885.i −1.49220 1.63737i
\(508\) 3865.99 113911.i 0.0149808 0.441405i
\(509\) 146376. + 253530.i 0.564980 + 0.978575i 0.997052 + 0.0767350i \(0.0244496\pi\)
−0.432071 + 0.901839i \(0.642217\pi\)
\(510\) −42932.4 213456.i −0.165061 0.820669i
\(511\) 75918.5 + 43831.5i 0.290741 + 0.167859i
\(512\) 39865.2 259095.i 0.152074 0.988369i
\(513\) −137956. 182860.i −0.524213 0.694839i
\(514\) −194328. + 107842.i −0.735544 + 0.408190i
\(515\) 373860. + 215848.i 1.40960 + 0.813831i
\(516\) 276305. 235157.i 1.03774 0.883197i
\(517\) −41579.3 72017.4i −0.155559 0.269437i
\(518\) 95822.3 159652.i 0.357114 0.594999i
\(519\) −37040.1 40643.7i −0.137511 0.150889i
\(520\) −540985. 350189.i −2.00068 1.29508i
\(521\) −344253. −1.26824 −0.634120 0.773234i \(-0.718638\pi\)
−0.634120 + 0.773234i \(0.718638\pi\)
\(522\) 93141.6 + 212019.i 0.341824 + 0.778096i
\(523\) 79326.1i 0.290010i −0.989431 0.145005i \(-0.953680\pi\)
0.989431 0.145005i \(-0.0463198\pi\)
\(524\) 98267.5 52373.4i 0.357888 0.190743i
\(525\) −42549.1 194429.i −0.154373 0.705411i
\(526\) −51797.9 + 86302.0i −0.187215 + 0.311924i
\(527\) −179323. + 103532.i −0.645675 + 0.372780i
\(528\) 132523. 105249.i 0.475359 0.377529i
\(529\) −83497.9 + 144623.i −0.298376 + 0.516803i
\(530\) −122929. + 68219.5i −0.437625 + 0.242860i
\(531\) −81811.7 7606.48i −0.290152 0.0269771i
\(532\) −122784. + 196925.i −0.433830 + 0.695790i
\(533\) 168960. 292648.i 0.594744 1.03013i
\(534\) 261088. + 88007.0i 0.915598 + 0.308628i
\(535\) 428527. 247410.i 1.49717 0.864391i
\(536\) 18810.1 + 36783.1i 0.0654729 + 0.128032i
\(537\) 98923.0 + 31486.5i 0.343043 + 0.109188i
\(538\) 3674.26 216585.i 0.0126942 0.748278i
\(539\) 19849.0i 0.0683223i
\(540\) −351508. 163251.i −1.20545 0.559845i
\(541\) 167330. 0.571715 0.285857 0.958272i \(-0.407722\pi\)
0.285857 + 0.958272i \(0.407722\pi\)
\(542\) −379715. 6441.69i −1.29259 0.0219281i
\(543\) 69728.0 219068.i 0.236487 0.742985i
\(544\) −15789.4 + 185717.i −0.0533541 + 0.627559i
\(545\) 125252. + 216943.i 0.421689 + 0.730387i
\(546\) −160854. + 477200.i −0.539567 + 1.60072i
\(547\) −246877. 142535.i −0.825100 0.476372i 0.0270722 0.999633i \(-0.491382\pi\)
−0.852172 + 0.523262i \(0.824715\pi\)
\(548\) −71861.5 + 115254.i −0.239296 + 0.383790i
\(549\) 63337.4 29116.1i 0.210143 0.0966026i
\(550\) −68300.6 123075.i −0.225787 0.406860i
\(551\) −194494. 112291.i −0.640623 0.369864i
\(552\) 190879. 31696.9i 0.626439 0.104025i
\(553\) −180374. 312417.i −0.589827 1.02161i
\(554\) 370541. + 222396.i 1.20730 + 0.724616i
\(555\) −294604. + 64471.6i −0.956429 + 0.209306i
\(556\) 301363. 160617.i 0.974857 0.519568i
\(557\) 51271.9 0.165260 0.0826302 0.996580i \(-0.473668\pi\)
0.0826302 + 0.996580i \(0.473668\pi\)
\(558\) −40342.0 + 366366.i −0.129565 + 1.17665i
\(559\) 763547.i 2.44350i
\(560\) −26621.7 + 391749.i −0.0848905 + 1.24920i
\(561\) −88934.6 + 81049.4i −0.282582 + 0.257528i
\(562\) −236394. 141882.i −0.748452 0.449216i
\(563\) −2488.80 + 1436.91i −0.00785187 + 0.00453328i −0.503921 0.863750i \(-0.668110\pi\)
0.496069 + 0.868283i \(0.334776\pi\)
\(564\) 124153. 105664.i 0.390302 0.332176i
\(565\) −16485.6 + 28553.9i −0.0516425 + 0.0894474i
\(566\) 87753.2 + 158128.i 0.273924 + 0.493601i
\(567\) −55833.9 + 297666.i −0.173673 + 0.925898i
\(568\) −611552. 31148.0i −1.89556 0.0965458i
\(569\) 56876.7 98513.3i 0.175675 0.304278i −0.764720 0.644363i \(-0.777123\pi\)
0.940395 + 0.340085i \(0.110456\pi\)
\(570\) 368484. 74113.3i 1.13415 0.228111i
\(571\) −27258.4 + 15737.7i −0.0836043 + 0.0482689i −0.541219 0.840881i \(-0.682037\pi\)
0.457615 + 0.889150i \(0.348704\pi\)
\(572\) −12080.0 + 355934.i −0.0369211 + 1.08787i
\(573\) 259880. 236838.i 0.791522 0.721344i
\(574\) −205864. 3492.39i −0.624824 0.0105998i
\(575\) 160935.i 0.486760i
\(576\) 249850. + 218290.i 0.753067 + 0.657944i
\(577\) −654654. −1.96635 −0.983174 0.182671i \(-0.941526\pi\)
−0.983174 + 0.182671i \(0.941526\pi\)
\(578\) −3418.89 + 201531.i −0.0102336 + 0.603236i
\(579\) 244682. 53546.6i 0.729870 0.159726i
\(580\) −379768. 12888.9i −1.12892 0.0383142i
\(581\) −187955. 325548.i −0.556803 0.964412i
\(582\) −344003. + 302982.i −1.01558 + 0.894482i
\(583\) 67285.9 + 38847.5i 0.197964 + 0.114295i
\(584\) −6182.48 + 121385.i −0.0181275 + 0.355910i
\(585\) 741062. 340665.i 2.16542 0.995441i
\(586\) 250798. 139180.i 0.730346 0.405306i
\(587\) 557280. + 321746.i 1.61732 + 0.933763i 0.987609 + 0.156937i \(0.0501620\pi\)
0.629716 + 0.776825i \(0.283171\pi\)
\(588\) −38274.3 + 7024.84i −0.110701 + 0.0203180i
\(589\) −178725. 309561.i −0.515175 0.892309i
\(590\) 69381.6 115599.i 0.199315 0.332085i
\(591\) 57604.8 180980.i 0.164924 0.518151i
\(592\) 257569. + 17503.3i 0.734937 + 0.0499433i
\(593\) −183090. −0.520661 −0.260330 0.965520i \(-0.583831\pi\)
−0.260330 + 0.965520i \(0.583831\pi\)
\(594\) 22612.7 + 212988.i 0.0640886 + 0.603645i
\(595\) 279180.i 0.788589i
\(596\) −95825.2 179795.i −0.269766 0.506158i
\(597\) 46722.1 + 14871.3i 0.131091 + 0.0417255i
\(598\) −209549. + 349135.i −0.585980 + 0.976318i
\(599\) 24104.3 13916.6i 0.0671800 0.0387864i −0.466034 0.884767i \(-0.654317\pi\)
0.533214 + 0.845981i \(0.320984\pi\)
\(600\) 213149. 175260.i 0.592082 0.486833i
\(601\) 135764. 235150.i 0.375868 0.651022i −0.614589 0.788848i \(-0.710678\pi\)
0.990457 + 0.137826i \(0.0440113\pi\)
\(602\) 406786. 225746.i 1.12247 0.622912i
\(603\) −52063.0 4840.58i −0.143184 0.0133126i
\(604\) 48001.8 + 29929.5i 0.131578 + 0.0820399i
\(605\) 153610. 266060.i 0.419670 0.726889i
\(606\) 371366. 327083.i 1.01125 0.890662i
\(607\) 86991.8 50224.8i 0.236103 0.136314i −0.377281 0.926099i \(-0.623141\pi\)
0.613384 + 0.789785i \(0.289808\pi\)
\(608\) −320600. 27256.9i −0.867274 0.0737343i
\(609\) 63479.0 + 290068.i 0.171157 + 0.782106i
\(610\) −1940.19 + 114368.i −0.00521417 + 0.307357i
\(611\) 343088.i 0.919015i
\(612\) −187760. 142805.i −0.501303 0.381278i
\(613\) 458408. 1.21992 0.609960 0.792432i \(-0.291185\pi\)
0.609960 + 0.792432i \(0.291185\pi\)
\(614\) 383412. + 6504.41i 1.01702 + 0.0172533i
\(615\) 224620. + 246473.i 0.593880 + 0.651657i
\(616\) 193198. 98797.8i 0.509146 0.260367i
\(617\) 237317. + 411046.i 0.623389 + 1.07974i 0.988850 + 0.148915i \(0.0475781\pi\)
−0.365461 + 0.930827i \(0.619089\pi\)
\(618\) 458532. 92224.6i 1.20058 0.241474i
\(619\) −5714.30 3299.15i −0.0149136 0.00861036i 0.492525 0.870298i \(-0.336074\pi\)
−0.507438 + 0.861688i \(0.669407\pi\)
\(620\) −513209. 319989.i −1.33509 0.832438i
\(621\) −95558.8 + 225475.i −0.247792 + 0.584676i
\(622\) −46715.9 84180.4i −0.120749 0.217586i
\(623\) 305951. + 176641.i 0.788272 + 0.455109i
\(624\) −690611. + 102676.i −1.77364 + 0.263694i
\(625\) 230266. + 398833.i 0.589481 + 1.02101i
\(626\) −340598. 204425.i −0.869148 0.521657i
\(627\) −139914. 153526.i −0.355898 0.390523i
\(628\) 223814. + 419938.i 0.567502 + 1.06479i
\(629\) −183557. −0.463948
\(630\) −400590. 294088.i −1.00930 0.740962i
\(631\) 102946.i 0.258553i −0.991609 0.129277i \(-0.958734\pi\)
0.991609 0.129277i \(-0.0412655\pi\)
\(632\) 271794. 419877.i 0.680465 1.05121i
\(633\) 133157. + 608464.i 0.332320 + 1.51854i
\(634\) 203864. + 122358.i 0.507179 + 0.304405i
\(635\) −204987. + 118349.i −0.508368 + 0.293506i
\(636\) −51095.1 + 143494.i −0.126318 + 0.354747i
\(637\) 40945.7 70919.9i 0.100909 0.174779i
\(638\) 101898. + 183616.i 0.250336 + 0.451096i
\(639\) 447970. 632413.i 1.09710 1.54881i
\(640\) −500392. + 214434.i −1.22166 + 0.523521i
\(641\) −202403. + 350572.i −0.492607 + 0.853221i −0.999964 0.00851530i \(-0.997289\pi\)
0.507356 + 0.861736i \(0.330623\pi\)
\(642\) 171242. 508020.i 0.415471 1.23257i
\(643\) −426111. + 246015.i −1.03063 + 0.595032i −0.917164 0.398510i \(-0.869527\pi\)
−0.113462 + 0.993542i \(0.536194\pi\)
\(644\) 247959. + 8415.43i 0.597871 + 0.0202911i
\(645\) −718001. 228535.i −1.72586 0.549329i
\(646\) 228740. + 3880.46i 0.548121 + 0.00929861i
\(647\) 306912.i 0.733171i −0.930384 0.366586i \(-0.880527\pi\)
0.930384 0.366586i \(-0.119473\pi\)
\(648\) −402694. + 118983.i −0.959015 + 0.283356i
\(649\) −74507.5 −0.176893
\(650\) −9850.24 + 580637.i −0.0233142 + 1.37429i
\(651\) −143341. + 450343.i −0.338227 + 1.06263i
\(652\) −3204.13 + 94409.1i −0.00753729 + 0.222085i
\(653\) −97661.8 169155.i −0.229033 0.396697i 0.728489 0.685058i \(-0.240223\pi\)
−0.957522 + 0.288361i \(0.906890\pi\)
\(654\) 257187. + 86692.0i 0.601303 + 0.202686i
\(655\) −200269. 115625.i −0.466799 0.269507i
\(656\) −125644. 256330.i −0.291966 0.595651i
\(657\) −125526. 88916.3i −0.290806 0.205992i
\(658\) 182783. 101435.i 0.422166 0.234281i
\(659\) −678872. 391947.i −1.56321 0.902519i −0.996929 0.0783055i \(-0.975049\pi\)
−0.566279 0.824213i \(1.30838\pi\)
\(660\) −331087. 117893.i −0.760071 0.270645i
\(661\) −371075. 642721.i −0.849295 1.47102i −0.881838 0.471552i \(-0.843694\pi\)
0.0325431 0.999470i \(-0.489639\pi\)
\(662\) −189802. + 316234.i −0.433096 + 0.721594i
\(663\) 484953. 106128.i 1.10325 0.241436i
\(664\) 283217. 437524.i 0.642367 0.992352i
\(665\) 481943. 1.08981
\(666\) −193358. + 263382.i −0.435927 + 0.593797i
\(667\) 240099.i 0.539682i
\(668\) 290388. 154768.i 0.650767 0.346838i
\(669\) 168481. 153543.i 0.376442 0.343065i
\(670\) 44152.8 73564.3i 0.0983577 0.163877i
\(671\) 54744.0 31606.5i 0.121588 0.0701990i
\(672\) 258884. + 337572.i 0.573280 + 0.747529i
\(673\) −211601. + 366503.i −0.467183 + 0.809185i −0.999297 0.0374878i \(-0.988064\pi\)
0.532114 + 0.846673i \(0.321398\pi\)
\(674\) −160566. + 89106.0i −0.353454 + 0.196149i
\(675\) 42758.0 + 346623.i 0.0938447 + 0.760763i
\(676\) 535621. 859046.i 1.17210 1.87985i
\(677\) −154122. + 266947.i −0.336269 + 0.582435i −0.983728 0.179665i \(-0.942498\pi\)
0.647459 + 0.762100i \(0.275832\pi\)
\(678\) 7043.72 + 35020.7i 0.0153230 + 0.0761843i
\(679\) −509034. + 293891.i −1.10410 + 0.637450i
\(680\) 344629. 176236.i 0.745305 0.381134i
\(681\) −646626. + 589294.i −1.39431 + 1.27069i
\(682\) −5669.28 + 334184.i −0.0121887 + 0.718484i
\(683\) 760287.i 1.62981i −0.579597 0.814903i \(-0.696790\pi\)
0.579597 0.814903i \(-0.303210\pi\)
\(684\) 246522. 324126.i 0.526918 0.692790i
\(685\) 282065. 0.601130
\(686\) −493148. 8366.02i −1.04792 0.0177775i
\(687\) −755164. + 165261.i −1.60003 + 0.350152i
\(688\) 535457. + 359644.i 1.13122 + 0.759794i
\(689\) −160273. 277602.i −0.337616 0.584768i
\(690\) −265590. 301548.i −0.557845 0.633370i
\(691\) −313235. 180846.i −0.656016 0.378751i 0.134742 0.990881i \(-0.456980\pi\)
−0.790757 + 0.612130i \(0.790313\pi\)
\(692\) 51723.4 82955.6i 0.108013 0.173234i
\(693\) −25424.5 + 273454.i −0.0529403 + 0.569401i
\(694\) −294978. 531539.i −0.612450 1.10361i
\(695\) −614177. 354595.i −1.27152 0.734113i
\(696\) −317997. + 261470.i −0.656455 + 0.539763i
\(697\) 101485. + 175777.i 0.208899 + 0.361824i
\(698\) −642349. 385534.i −1.31844 0.791319i
\(699\) 34869.3 109551.i 0.0713656 0.224214i
\(700\) 312252. 166420.i 0.637248 0.339633i
\(701\) 878492. 1.78773 0.893864 0.448337i \(-0.147984\pi\)
0.893864 + 0.448337i \(0.147984\pi\)
\(702\) 358567. 807644.i 0.727606 1.63887i
\(703\) 316870.i 0.641167i
\(704\) 243918. + 176123.i 0.492151 + 0.355361i
\(705\) −322622. 102688.i −0.649107 0.206606i
\(706\) 155761. + 93486.7i 0.312499 + 0.187560i
\(707\) 549525. 317268.i 1.09938 0.634728i
\(708\) −26369.2 143670.i −0.0526054 0.286616i
\(709\) −431190. + 746844.i −0.857781 + 1.48572i 0.0162593 + 0.999868i \(0.494824\pi\)
−0.874041 + 0.485853i \(0.838509\pi\)
\(710\) 617066. + 1.11193e6i 1.22409 + 2.20577i
\(711\) 264402. + 575164.i 0.523029 + 1.13776i
\(712\) −24915.4 + 489183.i −0.0491482 + 0.964964i
\(713\) −191073. + 330948.i −0.375855 + 0.651000i
\(714\) −199919. 226986.i −0.392155 0.445248i
\(715\) 640517. 369803.i 1.25291 0.723366i
\(716\) −6260.03 + 184450.i −0.0122110 + 0.359794i
\(717\) −203836. 931435.i −0.396500 1.81182i
\(718\) 285976. + 4851.44i 0.554728 + 0.00941070i
\(719\) 424008.i 0.820193i 0.912042 + 0.410097i \(0.134505\pi\)
−0.912042 + 0.410097i \(0.865495\pi\)
\(720\) 110153. 680148.i 0.212487 1.31201i
\(721\) 599717. 1.15365
\(722\) 2143.31 126341.i 0.00411160 0.242365i
\(723\) 61710.3 + 67714.0i 0.118054 + 0.129539i
\(724\) 408472. + 13863.1i 0.779265 + 0.0264473i
\(725\) 171209. + 296543.i 0.325725 + 0.564172i
\(726\) −65632.1 326317.i −0.124521 0.619107i
\(727\) 78836.8 + 45516.5i 0.149163 + 0.0861191i 0.572724 0.819748i \(-0.305887\pi\)
−0.423561 + 0.905868i \(0.639220\pi\)
\(728\) −894096. 45538.7i −1.68702 0.0859247i
\(729\) 145910. 511018.i 0.274555 0.961571i
\(730\) 220704. 122480.i 0.414157 0.229836i
\(731\) −397177. 229310.i −0.743275 0.429130i
\(732\) 80320.3 + 94375.1i 0.149901 + 0.176131i
\(733\) 6638.99 + 11499.1i 0.0123565 + 0.0214020i 0.872138 0.489261i \(-0.162733\pi\)
−0.859781 + 0.510663i \(0.829400\pi\)
\(734\) −136449. + 227342.i −0.253267 + 0.421976i
\(735\) 54434.2 + 59730.0i 0.100762 + 0.110565i
\(736\) 146139. + 311400.i 0.269780 + 0.574862i
\(737\) −47414.8 −0.0872929
\(738\) 359123. + 39544.4i 0.659373 + 0.0726060i
\(739\) 622195.i 1.13930i 0.821888 + 0.569650i \(0.192921\pi\)
−0.821888 + 0.569650i \(0.807079\pi\)
\(740\) −252165. 473132.i −0.460490 0.864011i
\(741\) 183206. + 837164.i 0.333660 + 1.52466i
\(742\) −100509. + 167461.i −0.182557 + 0.304163i
\(743\) 606588. 350214.i 1.09879 0.634389i 0.162890 0.986644i \(-0.447918\pi\)
0.935904 + 0.352255i \(0.114585\pi\)
\(744\) −646403. + 107340.i −1.16777 + 0.193917i
\(745\) −211554. + 366422.i −0.381161 + 0.660189i
\(746\) −502135. + 278660.i −0.902283 + 0.500722i
\(747\) 275514. + 599337.i 0.493745 + 1.07406i
\(748\) −181520. 113179.i −0.324430 0.202284i
\(749\) 343705. 595314.i 0.612663 1.06116i
\(750\) 165404. + 55754.1i 0.294052 + 0.0991185i
\(751\) −73727.4 + 42566.6i −0.130722 + 0.0754725i −0.563935 0.825819i \(-0.690713\pi\)
0.433213 + 0.901292i \(0.357380\pi\)
\(752\) 240599. + 161600.i 0.425459 + 0.285763i
\(753\) 187371. + 59638.8i 0.330455 + 0.105181i
\(754\) 14695.6 866252.i 0.0258490 1.52371i
\(755\) 117477.i 0.206091i
\(756\) −536291. + 47753.7i −0.938333 + 0.0835533i
\(757\) 319528. 0.557592 0.278796 0.960350i \(-0.410065\pi\)
0.278796 + 0.960350i \(0.410065\pi\)
\(758\) 732606. + 12428.3i 1.27506 + 0.0216309i
\(759\) −67353.0 + 211607.i −0.116916 + 0.367321i
\(760\) 304233. + 594925.i 0.526719 + 1.03000i
\(761\) −376888. 652790.i −0.650794 1.12721i −0.982931 0.183977i \(-0.941103\pi\)
0.332137 0.943231i \(-0.392230\pi\)
\(762\) −81914.0 + 243012.i −0.141074 + 0.418522i
\(763\) 301379. + 174001.i 0.517684 + 0.298885i