Properties

Label 36.5.f.a.7.18
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 7.18
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.18

$q$-expansion

\(f(q)\) \(=\) \(q+(3.42968 - 2.05847i) q^{2} +(2.72970 - 8.57606i) q^{3} +(7.52540 - 14.1198i) q^{4} +(16.6139 + 28.7760i) q^{5} +(-8.29157 - 35.0321i) q^{6} +(-39.9759 - 23.0801i) q^{7} +(-3.25547 - 63.9171i) q^{8} +(-66.0975 - 46.8201i) q^{9} +O(q^{10})\) \(q+(3.42968 - 2.05847i) q^{2} +(2.72970 - 8.57606i) q^{3} +(7.52540 - 14.1198i) q^{4} +(16.6139 + 28.7760i) q^{5} +(-8.29157 - 35.0321i) 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} +(-100.550 - 103.081i) q^{12} +(151.520 + 262.440i) q^{13} +(-184.614 + 3.13190i) q^{14} +(292.136 - 63.9314i) q^{15} +(-142.737 - 212.514i) q^{16} -182.019 q^{17} +(-323.071 - 24.5183i) q^{18} +314.215i q^{19} +(531.337 - 18.0330i) q^{20} +(-307.059 + 279.834i) q^{21} +(293.764 - 4.98356i) q^{22} +(290.919 - 167.962i) q^{23} +(-557.044 - 146.556i) 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} +(870.331 - 820.617i) q^{30} +(-985.186 + 568.798i) q^{31} +(-926.995 - 435.035i) q^{32} +(488.601 - 445.280i) q^{33} +(-624.267 + 374.681i) q^{34} -1533.80i q^{35} +(-1158.50 + 580.942i) q^{36} +1008.45 q^{37} +(646.803 + 1077.66i) q^{38} +(2664.30 - 583.059i) q^{39} +(1785.20 - 1155.59i) q^{40} +(-557.553 - 965.709i) q^{41} +(-477.082 + 1591.81i) 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} +(-2212.16 + 644.019i) q^{48} +(-135.117 - 234.029i) q^{49} +(32.5048 + 1916.05i) q^{50} +(-496.857 + 1561.00i) q^{51} +(4845.84 - 164.462i) q^{52} -1057.77 q^{53} +(-1092.16 + 2703.75i) q^{54} +2440.63i q^{55} +(-1345.07 + 2630.28i) q^{56} +(2694.73 + 857.713i) q^{57} +(-48.4939 - 2858.55i) q^{58} +(-878.476 + 507.188i) q^{59} +(1295.74 - 4606.00i) 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} +(759.148 - 2532.94i) q^{66} +(-559.041 + 322.762i) q^{67} +(-1369.76 + 2570.07i) q^{68} +(-646.331 - 2953.42i) q^{69} +(-3157.28 - 5260.44i) q^{70} -9567.89i q^{71} +(-2777.43 + 4377.18i) q^{72} +1899.10 q^{73} +(3458.66 - 2075.86i) q^{74} +(2904.30 + 3186.85i) q^{75} +(4436.65 + 2364.59i) q^{76} +(-1695.27 - 2936.29i) q^{77} +(7937.48 - 7484.09i) 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} +(1640.46 + 6441.47i) q^{84} +(-3024.04 - 5237.78i) q^{85} +(-10077.1 + 170.953i) q^{86} +(-4332.92 - 4754.46i) q^{87} +(2140.32 - 4185.39i) q^{88} +7653.39 q^{89} +(-4661.92 - 9704.05i) q^{90} -13988.4i q^{91} +(-182.309 - 5371.70i) q^{92} +(2188.78 + 10001.7i) q^{93} +(-4527.97 + 76.8149i) q^{94} +(-9041.87 + 5220.33i) q^{95} +(-6261.31 + 6762.45i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.42968 2.05847i 0.857420 0.514618i
\(3\) 2.72970 8.57606i 0.303300 0.952895i
\(4\) 7.52540 14.1198i 0.470337 0.882487i
\(5\) 16.6139 + 28.7760i 0.664554 + 1.15104i 0.979406 + 0.201901i \(0.0647118\pi\)
−0.314852 + 0.949141i \(0.601955\pi\)
\(6\) −8.29157 35.0321i −0.230321 0.973115i
\(7\) −39.9759 23.0801i −0.815835 0.471023i 0.0331429 0.999451i \(-0.489448\pi\)
−0.848978 + 0.528428i \(0.822782\pi\)
\(8\) −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 0.739268 0.673412i \(-0.235172\pi\)
−0.213558 + 0.976930i \(0.568505\pi\)
\(12\) −100.550 103.081i −0.698264 0.715840i
\(13\) 151.520 + 262.440i 0.896566 + 1.55290i 0.831855 + 0.554993i \(0.187279\pi\)
0.0647110 + 0.997904i \(0.479387\pi\)
\(14\) −184.614 + 3.13190i −0.941910 + 0.0159791i
\(15\) 292.136 63.9314i 1.29838 0.284140i
\(16\) −142.737 212.514i −0.557566 0.830133i
\(17\) −182.019 −0.629823 −0.314912 0.949121i \(-0.601975\pi\)
−0.314912 + 0.949121i \(0.601975\pi\)
\(18\) −323.071 24.5183i −0.997133 0.0756736i
\(19\) 314.215i 0.870402i 0.900333 + 0.435201i \(0.143323\pi\)
−0.900333 + 0.435201i \(0.856677\pi\)
\(20\) 531.337 18.0330i 1.32834 0.0450824i
\(21\) −307.059 + 279.834i −0.696278 + 0.634544i
\(22\) 293.764 4.98356i 0.606950 0.0102966i
\(23\) 290.919 167.962i 0.549941 0.317509i −0.199157 0.979968i \(-0.563820\pi\)
0.749098 + 0.662459i \(0.230487\pi\)
\(24\) −557.044 146.556i −0.967089 0.254437i
\(25\) −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 \(0.0269638\pi\)
\(30\) 870.331 820.617i 0.967034 0.911797i
\(31\) −985.186 + 568.798i −1.02517 + 0.591881i −0.915597 0.402098i \(-0.868281\pi\)
−0.109571 + 0.993979i \(0.534948\pi\)
\(32\) −926.995 435.035i −0.905269 0.424839i
\(33\) 488.601 445.280i 0.448669 0.408889i
\(34\) −624.267 + 374.681i −0.540023 + 0.324118i
\(35\) 1533.80i 1.25208i
\(36\) −1158.50 + 580.942i −0.893904 + 0.448258i
\(37\) 1008.45 0.736632 0.368316 0.929701i \(-0.379934\pi\)
0.368316 + 0.929701i \(0.379934\pi\)
\(38\) 646.803 + 1077.66i 0.447924 + 0.746300i
\(39\) 2664.30 583.059i 1.75168 0.383339i
\(40\) 1785.20 1155.59i 1.11575 0.722244i
\(41\) −557.553 965.709i −0.331679 0.574485i 0.651162 0.758939i \(-0.274282\pi\)
−0.982841 + 0.184454i \(0.940948\pi\)
\(42\) −477.082 + 1591.81i −0.270455 + 0.902388i
\(43\) −2182.06 1259.82i −1.18013 0.681349i −0.224087 0.974569i \(-0.571940\pi\)
−0.956045 + 0.293220i \(0.905273\pi\)
\(44\) 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 0.261376 0.965237i \(-0.415824\pi\)
−0.705232 + 0.708977i \(0.749157\pi\)
\(48\) −2212.16 + 644.019i −0.960139 + 0.279522i
\(49\) −135.117 234.029i −0.0562752 0.0974714i
\(50\) 32.5048 + 1916.05i 0.0130019 + 0.766419i
\(51\) −496.857 + 1561.00i −0.191025 + 0.600156i
\(52\) 4845.84 164.462i 1.79210 0.0608218i
\(53\) −1057.77 −0.376566 −0.188283 0.982115i \(-0.560292\pi\)
−0.188283 + 0.982115i \(0.560292\pi\)
\(54\) −1092.16 + 2703.75i −0.374539 + 0.927211i
\(55\) 2440.63i 0.806818i
\(56\) −1345.07 + 2630.28i −0.428914 + 0.838739i
\(57\) 2694.73 + 857.713i 0.829402 + 0.263993i
\(58\) −48.4939 2858.55i −0.0144156 0.849747i
\(59\) −878.476 + 507.188i −0.252363 + 0.145702i −0.620846 0.783933i \(-0.713211\pi\)
0.368483 + 0.929635i \(0.379877\pi\)
\(60\) 1295.74 4606.00i 0.359928 1.27945i
\(61\) −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
\(66\) 759.148 2532.94i 0.174276 0.581483i
\(67\) −559.041 + 322.762i −0.124536 + 0.0719008i −0.560974 0.827834i \(-0.689573\pi\)
0.436438 + 0.899734i \(0.356240\pi\)
\(68\) −1369.76 + 2570.07i −0.296229 + 0.555811i
\(69\) −646.331 2953.42i −0.135755 0.620337i
\(70\) −3157.28 5260.44i −0.644343 1.07356i
\(71\) 9567.89i 1.89801i −0.315254 0.949007i \(-0.602090\pi\)
0.315254 0.949007i \(-0.397910\pi\)
\(72\) −2777.43 + 4377.18i −0.535770 + 0.844364i
\(73\) 1899.10 0.356372 0.178186 0.983997i \(-0.442977\pi\)
0.178186 + 0.983997i \(0.442977\pi\)
\(74\) 3458.66 2075.86i 0.631603 0.379084i
\(75\) 2904.30 + 3186.85i 0.516320 + 0.566552i
\(76\) 4436.65 + 2364.59i 0.768119 + 0.409383i
\(77\) −1695.27 2936.29i −0.285928 0.495242i
\(78\) 7937.48 7484.09i 1.30465 1.23013i
\(79\) 6768.11 + 3907.57i 1.08446 + 0.626113i 0.932096 0.362212i \(-0.117978\pi\)
0.152363 + 0.988325i \(0.451312\pi\)
\(80\) 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 0.915186 0.403032i \(-0.132044\pi\)
0.108556 + 0.994090i \(0.465377\pi\)
\(84\) 1640.46 + 6441.47i 0.232491 + 0.912906i
\(85\) −3024.04 5237.78i −0.418552 0.724953i
\(86\) −10077.1 + 170.953i −1.36250 + 0.0231142i
\(87\) −4332.92 4754.46i −0.572456 0.628149i
\(88\) 2140.32 4185.39i 0.276385 0.540468i
\(89\) 7653.39 0.966215 0.483107 0.875561i \(-0.339508\pi\)
0.483107 + 0.875561i \(0.339508\pi\)
\(90\) −4661.92 9704.05i −0.575545 1.19803i
\(91\) 13988.4i 1.68921i
\(92\) −182.309 5371.70i −0.0215394 0.634652i
\(93\) 2188.78 + 10001.7i 0.253067 + 1.15640i
\(94\) −4527.97 + 76.8149i −0.512446 + 0.00869340i
\(95\) −9041.87 + 5220.33i −1.00187 + 0.578430i
\(96\) −6261.31 + 6762.45i −0.679395 + 0.733773i
\(97\) −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 \(-0.0686624\pi\)
\(102\) 1509.22 + 6376.51i 0.145062 + 0.612890i
\(103\) −11251.5 + 6496.03i −1.06056 + 0.612313i −0.925587 0.378536i \(-0.876428\pi\)
−0.134971 + 0.990850i \(0.543094\pi\)
\(104\) 16281.1 10539.1i 1.50528 0.974396i
\(105\) −13153.9 4186.81i −1.19310 0.379756i
\(106\) −3627.82 + 2177.40i −0.322875 + 0.193787i
\(107\) 14891.8i 1.30071i 0.759631 + 0.650354i \(0.225379\pi\)
−0.759631 + 0.650354i \(0.774621\pi\)
\(108\) 1819.84 + 11521.2i 0.156022 + 0.987754i
\(109\) 7539.02 0.634544 0.317272 0.948335i \(-0.397233\pi\)
0.317272 + 0.948335i \(0.397233\pi\)
\(110\) 5023.96 + 8370.56i 0.415203 + 0.691782i
\(111\) 2752.76 8648.52i 0.223421 0.701933i
\(112\) 801.189 + 11789.8i 0.0638703 + 0.939878i
\(113\) 496.140 + 859.339i 0.0388550 + 0.0672988i 0.884799 0.465973i \(-0.154296\pi\)
−0.845944 + 0.533272i \(0.820962\pi\)
\(114\) 11007.6 2605.34i 0.847001 0.200472i
\(115\) 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
\(120\) −5037.35 18464.4i −0.349816 1.28225i
\(121\) −4622.94 8007.16i −0.315753 0.546900i
\(122\) 58.3908 + 3441.94i 0.00392306 + 0.231251i
\(123\) −9803.93 + 2145.51i −0.648022 + 0.141814i
\(124\) 617.383 + 18191.1i 0.0401524 + 1.18308i
\(125\) 4848.57 0.310308
\(126\) 12349.2 + 8436.65i 0.777852 + 0.531409i
\(127\) 7123.52i 0.441659i −0.975312 0.220829i \(-0.929124\pi\)
0.975312 0.220829i \(-0.0708764\pi\)
\(128\) −13118.6 + 9815.16i −0.800697 + 0.599070i
\(129\) −16760.6 + 15274.6i −1.00719 + 0.917889i
\(130\) 683.185 + 40271.4i 0.0404252 + 2.38292i
\(131\) 6027.16 3479.78i 0.351212 0.202773i −0.314007 0.949421i \(-0.601671\pi\)
0.665219 + 0.746648i \(0.268338\pi\)
\(132\) −2610.35 10249.8i −0.149813 0.588260i
\(133\) 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 \(0.0940559\pi\)
\(138\) −8296.25 8798.84i −0.435636 0.462027i
\(139\) 18483.9 10671.7i 0.956673 0.552335i 0.0615252 0.998106i \(-0.480404\pi\)
0.895147 + 0.445770i \(0.147070\pi\)
\(140\) −21656.9 11542.4i −1.10494 0.588900i
\(141\) −7531.12 + 6863.39i −0.378810 + 0.345224i
\(142\) −19695.2 32814.8i −0.976752 1.62740i
\(143\) 22258.7i 1.08850i
\(144\) −515.388 + 20729.6i −0.0248548 + 0.999691i
\(145\) 23749.2 1.12957
\(146\) 6513.32 3909.25i 0.305560 0.183395i
\(147\) −2375.87 + 519.939i −0.109948 + 0.0240612i
\(148\) 7588.98 14239.1i 0.346466 0.650068i
\(149\) 6366.78 + 11027.6i 0.286779 + 0.496716i 0.973039 0.230640i \(-0.0740821\pi\)
−0.686260 + 0.727356i \(0.740749\pi\)
\(150\) 16520.9 + 4951.47i 0.734260 + 0.220065i
\(151\) 3061.84 + 1767.75i 0.134285 + 0.0775296i 0.565638 0.824654i \(-0.308630\pi\)
−0.431352 + 0.902184i \(0.641963\pi\)
\(152\) 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
\(156\) 11817.2 42007.1i 0.485587 1.72613i
\(157\) −14870.6 25756.6i −0.603292 1.04493i −0.992319 0.123706i \(-0.960522\pi\)
0.389027 0.921227i \(-0.372811\pi\)
\(158\) 31256.1 530.244i 1.25205 0.0212404i
\(159\) −2887.40 + 9071.53i −0.114212 + 0.358828i
\(160\) −2882.37 33902.9i −0.112593 1.32433i
\(161\) −15506.3 −0.598216
\(162\) 20206.2 + 16746.8i 0.769937 + 0.638120i
\(163\) 5903.96i 0.222213i 0.993809 + 0.111106i \(0.0354394\pi\)
−0.993809 + 0.111106i \(0.964561\pi\)
\(164\) −17831.4 + 605.177i −0.662976 + 0.0225006i
\(165\) 20930.9 + 6662.18i 0.768813 + 0.244708i
\(166\) 32569.7 552.529i 1.18195 0.0200511i
\(167\) 17810.7 10283.0i 0.638628 0.368712i −0.145458 0.989364i \(-0.546465\pi\)
0.784086 + 0.620652i \(0.213132\pi\)
\(168\) 18885.8 + 18715.3i 0.669140 + 0.663100i
\(169\) −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 \(0.199215\pi\)
\(174\) −24647.4 7387.09i −0.814092 0.243992i
\(175\) 19151.7 11057.2i 0.625361 0.361053i
\(176\) −1274.87 18760.3i −0.0411569 0.605641i
\(177\) 1951.70 + 8918.33i 0.0622969 + 0.284667i
\(178\) 26248.7 15754.3i 0.828451 0.497231i
\(179\) 11534.8i 0.360001i 0.983667 + 0.180001i \(0.0576099\pi\)
−0.983667 + 0.180001i \(0.942390\pi\)
\(180\) −35964.4 23685.3i −1.11001 0.731029i
\(181\) −25544.2 −0.779713 −0.389857 0.920876i \(-0.627475\pi\)
−0.389857 + 0.920876i \(0.627475\pi\)
\(182\) −28794.6 47975.6i −0.869298 1.44836i
\(183\) 5217.20 + 5724.78i 0.155789 + 0.170945i
\(184\) −11682.7 18047.9i −0.345072 0.533079i
\(185\) 16754.2 + 29019.2i 0.489532 + 0.847894i
\(186\) 28094.9 + 29797.0i 0.812086 + 0.861283i
\(187\) −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 0.885999 0.463687i \(-0.153474\pi\)
0.0414344 + 0.999141i \(0.486807\pi\)
\(192\) −7553.97 + 36081.7i −0.204915 + 0.978780i
\(193\) −13915.2 24101.8i −0.373572 0.647045i 0.616541 0.787323i \(-0.288534\pi\)
−0.990112 + 0.140278i \(0.955200\pi\)
\(194\) 863.947 + 50926.7i 0.0229553 + 1.35314i
\(195\) 61042.4 + 66981.2i 1.60532 + 1.76150i
\(196\) −4321.25 + 146.658i −0.112486 + 0.00381763i
\(197\) −21103.0 −0.543765 −0.271883 0.962330i \(-0.587646\pi\)
−0.271883 + 0.962330i \(0.587646\pi\)
\(198\) −19650.4 13424.7i −0.501234 0.342431i
\(199\) 5447.97i 0.137572i 0.997631 + 0.0687858i \(0.0219125\pi\)
−0.997631 + 0.0687858i \(0.978087\pi\)
\(200\) 27298.8 + 13960.1i 0.682470 + 0.349001i
\(201\) 1242.02 + 5675.41i 0.0307422 + 0.140477i
\(202\) −932.670 54977.7i −0.0228573 1.34736i
\(203\) −28572.4 + 16496.3i −0.693353 + 0.400308i
\(204\) 18302.0 + 18762.7i 0.439783 + 0.450853i
\(205\) 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
\(210\) −53732.2 + 12717.6i −1.21842 + 0.288381i
\(211\) −59935.1 + 34603.5i −1.34622 + 0.777241i −0.987712 0.156286i \(-0.950048\pi\)
−0.358509 + 0.933526i \(0.616715\pi\)
\(212\) −7960.17 + 14935.5i −0.177113 + 0.332314i
\(213\) −82054.8 26117.5i −1.80861 0.575668i
\(214\) 30654.4 + 51074.1i 0.669367 + 1.11525i
\(215\) 83721.5i 1.81117i
\(216\) 29957.4 + 35767.8i 0.642092 + 0.766628i
\(217\) 52511.7 1.11516
\(218\) 25856.4 15518.9i 0.544071 0.326548i
\(219\) 5183.98 16286.8i 0.108088 0.339585i
\(220\) 34461.1 + 18366.7i 0.712007 + 0.379477i
\(221\) −27579.4 47769.0i −0.564678 0.978051i
\(222\) −8361.63 35328.1i −0.169662 0.716828i
\(223\) 21934.5 + 12663.9i 0.441080 + 0.254658i 0.704056 0.710145i \(-0.251371\pi\)
−0.262976 + 0.964802i \(0.584704\pi\)
\(224\) 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 \(-0.941104\pi\)
−0.650792 0.759256i \(1.27444\pi\)
\(228\) 32389.6 31594.4i 0.623069 0.607771i
\(229\) 42946.4 + 74385.3i 0.818947 + 1.41846i 0.906459 + 0.422294i \(0.138775\pi\)
−0.0875119 + 0.996163i \(0.527892\pi\)
\(230\) 44641.6 757.323i 0.843886 0.0143161i
\(231\) −29809.4 + 6523.53i −0.558636 + 0.122253i
\(232\) −40727.0 20827.0i −0.756671 0.386946i
\(233\) −12774.0 −0.235297 −0.117649 0.993055i \(-0.537536\pi\)
−0.117649 + 0.993055i \(0.537536\pi\)
\(234\) −42517.0 88501.6i −0.776482 1.61629i
\(235\) 37619.0i 0.681194i
\(236\) 550.511 + 16220.7i 0.00988421 + 0.291236i
\(237\) 51986.4 47377.2i 0.925536 0.843476i
\(238\) 33603.3 570.064i 0.593237 0.0100640i
\(239\) 91748.4 52971.0i 1.60621 0.927347i 0.616005 0.787742i \(-0.288750\pi\)
0.990207 0.139605i \(-0.0445832\pi\)
\(240\) −55284.8 52957.6i −0.959806 0.919402i
\(241\) 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
\(246\) −29207.9 + 27539.5i −0.482647 + 0.455078i
\(247\) −82462.6 + 47609.8i −1.35165 + 0.780373i
\(248\) 39563.2 + 61118.6i 0.643262 + 0.993734i
\(249\) 54171.3 49368.4i 0.873717 0.796251i
\(250\) 16629.0 9980.63i 0.266064 0.159690i
\(251\) 21848.1i 0.346790i 0.984852 + 0.173395i \(0.0554738\pi\)
−0.984852 + 0.173395i \(0.944526\pi\)
\(252\) 59720.3 + 3514.60i 0.940418 + 0.0553445i
\(253\) 24674.2 0.385479
\(254\) −14663.5 24431.4i −0.227285 0.378687i
\(255\) −53174.2 + 11636.7i −0.817751 + 0.178958i
\(256\) −24788.4 + 60667.1i −0.378241 + 0.925707i
\(257\) −27780.7 48117.6i −0.420608 0.728514i 0.575391 0.817878i \(-0.304850\pi\)
−0.995999 + 0.0893643i \(0.971516\pi\)
\(258\) −26041.3 + 86888.2i −0.391222 + 1.30533i
\(259\) −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 0.649186 0.760629i \(-0.275110\pi\)
−0.334131 + 0.942527i \(0.608443\pi\)
\(264\) −30051.7 29780.4i −0.431182 0.427290i
\(265\) −17573.7 30438.5i −0.250248 0.433443i
\(266\) −984.089 58008.6i −0.0139082 0.819841i
\(267\) 20891.4 65635.9i 0.293053 0.920701i
\(268\) 350.332 + 10322.5i 0.00487765 + 0.143719i
\(269\) 54154.0 0.748386 0.374193 0.927351i \(-0.377920\pi\)
0.374193 + 0.927351i \(0.377920\pi\)
\(270\) −95948.1 + 13491.7i −1.31616 + 0.185072i
\(271\) 94942.5i 1.29277i 0.763011 + 0.646386i \(0.223720\pi\)
−0.763011 + 0.646386i \(0.776280\pi\)
\(272\) 25980.8 + 38681.6i 0.351168 + 0.522837i
\(273\) −119965. 38184.0i −1.60964 0.512338i
\(274\) −575.954 33950.5i −0.00767162 0.452215i
\(275\) −30474.7 + 17594.6i −0.402972 + 0.232656i
\(276\) −46565.6 13099.6i −0.611290 0.171965i
\(277\) −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 \(0.0229000\pi\)
\(282\) −11701.2 + 39041.8i −0.147141 + 0.490944i
\(283\) 39154.2 22605.7i 0.488884 0.282257i −0.235228 0.971940i \(-0.575584\pi\)
0.724111 + 0.689683i \(0.242250\pi\)
\(284\) −135097. 72002.2i −1.67497 0.892707i
\(285\) 20088.2 + 91793.5i 0.247316 + 1.13011i
\(286\) 45818.9 + 76340.2i 0.560160 + 0.933299i
\(287\) 51473.5i 0.624914i
\(288\) 40903.6 + 72156.8i 0.493148 + 0.869946i
\(289\) −50390.1 −0.603323
\(290\) 81452.0 48887.0i 0.968514 0.581296i
\(291\) 77193.4 + 84703.5i 0.911579 + 1.00027i
\(292\) 14291.5 26814.9i 0.167615 0.314493i
\(293\) 35853.6 + 62100.3i 0.417636 + 0.723366i 0.995701 0.0926242i \(-0.0295255\pi\)
−0.578065 + 0.815990i \(0.696192\pi\)
\(294\) −7078.20 + 6673.89i −0.0818895 + 0.0772119i
\(295\) −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
\(300\) 66853.7 17025.7i 0.742819 0.189175i
\(301\) 58153.4 + 100725.i 0.641862 + 1.11174i
\(302\) 14140.0 239.878i 0.155037 0.00263013i
\(303\) −83333.8 91441.2i −0.907687 0.995994i
\(304\) 66775.2 44850.1i 0.722550 0.485306i
\(305\) −28596.0 −0.307401
\(306\) 58805.0 + 4462.79i 0.628017 + 0.0476610i
\(307\) 95866.9i 1.01717i −0.861013 0.508583i \(-0.830170\pi\)
0.861013 0.508583i \(-0.169830\pi\)
\(308\) −54217.4 + 1840.08i −0.571528 + 0.0193970i
\(309\) 24997.2 + 114225.i 0.261803 + 1.19632i
\(310\) −151177. + 2564.65i −1.57312 + 0.0266873i
\(311\) −20844.0 + 12034.3i −0.215506 + 0.124423i −0.603868 0.797085i \(-0.706374\pi\)
0.388362 + 0.921507i \(0.373041\pi\)
\(312\) −45941.0 168396.i −0.471945 1.72991i
\(313\) 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 \(0.262239\pi\)
\(318\) 8770.60 + 37056.1i 0.0867311 + 0.366442i
\(319\) 45465.2 26249.4i 0.446785 0.257951i
\(320\) −79673.7 110343.i −0.778063 1.07757i
\(321\) 127713. + 40650.2i 1.23944 + 0.394505i
\(322\) −53181.8 + 31919.4i −0.512922 + 0.307852i
\(323\) 57193.1i 0.548200i
\(324\) 103774. + 15842.3i 0.988547 + 0.150913i
\(325\) −145180. −1.37449
\(326\) 12153.1 + 20248.7i 0.114354 + 0.190529i
\(327\) 20579.3 64655.1i 0.192457 0.604654i
\(328\) −59910.3 + 38781.0i −0.556870 + 0.360472i
\(329\) 26130.3 + 45259.0i 0.241408 + 0.418132i
\(330\) 85500.3 20236.6i 0.785127 0.185827i
\(331\) 79852.0 + 46102.6i 0.728836 + 0.420794i 0.817996 0.575223i \(-0.195085\pi\)
−0.0891599 + 0.996017i \(0.528418\pi\)
\(332\) 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
\(336\) 103297. + 25311.6i 0.914977 + 0.224203i
\(337\) −22954.2 39757.8i −0.202117 0.350076i 0.747094 0.664719i \(-0.231449\pi\)
−0.949210 + 0.314643i \(0.898115\pi\)
\(338\) 4292.89 + 253051.i 0.0375765 + 2.21500i
\(339\) 8724.05 1909.18i 0.0759135 0.0166130i
\(340\) −96713.5 + 3282.34i −0.836622 + 0.0283940i
\(341\) −83558.1 −0.718588
\(342\) 7704.01 101514.i 0.0658665 0.867907i
\(343\) 123305.i 1.04807i
\(344\) −73420.1 + 143573.i −0.620438 + 1.21326i
\(345\) 74249.8 67666.6i 0.623817 0.568508i
\(346\) 414.552 + 24436.4i 0.00346279 + 0.204120i
\(347\) −131615. + 75987.9i −1.09306 + 0.631081i −0.934391 0.356250i \(-0.884055\pi\)
−0.158674 + 0.987331i \(0.550722\pi\)
\(348\) −99739.0 + 25400.7i −0.823581 + 0.209743i
\(349\) 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 \(0.224999\pi\)
\(354\) 25051.8 + 26569.5i 0.199909 + 0.212020i
\(355\) 275326. 158960.i 2.18469 1.26133i
\(356\) 57594.8 108064.i 0.454447 0.852671i
\(357\) 55890.5 50935.1i 0.438532 0.399651i
\(358\) 23744.0 + 39560.6i 0.185263 + 0.308672i
\(359\) 71504.2i 0.554808i −0.960753 0.277404i \(-0.910526\pi\)
0.960753 0.277404i \(-0.0894740\pi\)
\(360\) −172102. 7201.54i −1.32795 0.0555674i
\(361\) 31589.8 0.242400
\(362\) −87608.4 + 52582.0i −0.668542 + 0.401254i
\(363\) −81289.1 + 17789.4i −0.616906 + 0.135005i
\(364\) −197513. 105268.i −1.49071 0.794499i
\(365\) 31551.4 + 54648.7i 0.236828 + 0.410199i
\(366\) 29677.6 + 8894.69i 0.221548 + 0.0664001i
\(367\) 57406.0 + 33143.4i 0.426211 + 0.246073i 0.697731 0.716360i \(-0.254193\pi\)
−0.271520 + 0.962433i \(0.587526\pi\)
\(368\) −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
\(372\) 157693. + 44361.4i 1.13953 + 0.320567i
\(373\) −71784.3 124334.i −0.515955 0.893660i −0.999828 0.0185223i \(-0.994104\pi\)
0.483873 0.875138i \(-0.339229\pi\)
\(374\) −53470.6 + 907.103i −0.382271 + 0.00648505i
\(375\) 13235.1 41581.6i 0.0941165 0.295691i
\(376\) −32990.2 + 64512.1i −0.233351 + 0.456316i
\(377\) 216594. 1.52393
\(378\) 106063. 82877.7i 0.742300 0.580035i
\(379\) 183178.i 1.27525i −0.770348 0.637624i \(-0.779917\pi\)
0.770348 0.637624i \(-0.220083\pi\)
\(380\) 5666.23 + 166954.i 0.0392398 + 1.15619i
\(381\) −61091.7 19445.1i −0.420855 0.133955i
\(382\) 156249. 2650.69i 1.07075 0.0181648i
\(383\) −15175.9 + 8761.79i −0.103456 + 0.0597303i −0.550835 0.834614i \(-0.685691\pi\)
0.447379 + 0.894344i \(0.352357\pi\)
\(384\) 48365.5 + 139298.i 0.328000 + 0.944678i
\(385\) 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 \(0.248403\pi\)
\(390\) 347235. + 104070.i 2.28294 + 0.684220i
\(391\) −52952.8 + 30572.3i −0.346366 + 0.199974i
\(392\) −14518.6 + 9398.15i −0.0944827 + 0.0611604i
\(393\) −13390.5 61188.0i −0.0866983 0.396169i
\(394\) −72376.5 + 43439.9i −0.466235 + 0.279831i
\(395\) 259679.i 1.66434i
\(396\) −95028.7 5592.53i −0.605989 0.0356630i
\(397\) −73295.7 −0.465047 −0.232524 0.972591i \(-0.574698\pi\)
−0.232524 + 0.972591i \(0.574698\pi\)
\(398\) 11214.5 + 18684.8i 0.0707968 + 0.117957i
\(399\) −87928.1 96482.5i −0.552309 0.606042i
\(400\) 122362. 8315.25i 0.764765 0.0519703i
\(401\) −142274. 246426.i −0.884784 1.53249i −0.845961 0.533244i \(-0.820973\pi\)
−0.0388226 0.999246i \(-0.512361\pi\)
\(402\) 15942.4 + 16908.2i 0.0986509 + 0.104627i
\(403\) −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
\(408\) 101392. + 26675.9i 0.609095 + 0.160250i
\(409\) 56577.0 + 97994.2i 0.338215 + 0.585806i 0.984097 0.177632i \(-0.0568435\pi\)
−0.645882 + 0.763437i \(0.723510\pi\)
\(410\) −2513.94 148188.i −0.0149550 0.881548i
\(411\) −51461.4 56468.0i −0.304648 0.334286i
\(412\) 7050.91 + 207753.i 0.0415385 + 1.22392i
\(413\) 46823.9 0.274516
\(414\) −98105.6 + 47130.9i −0.572392 + 0.274982i
\(415\) 270593.i 1.57116i
\(416\) −26287.4 309197.i −0.151901 1.78669i
\(417\) −41065.4 187649.i −0.236159 1.07913i
\(418\) 1565.91 + 92305.1i 0.00896220 + 0.528291i
\(419\) −237314. + 137013.i −1.35175 + 0.780431i −0.988494 0.151260i \(-0.951667\pi\)
−0.363252 + 0.931691i \(0.618334\pi\)
\(420\) −158106. + 154223.i −0.896290 + 0.874283i
\(421\) −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
\(426\) −335184. + 79332.8i −1.84699 + 0.437153i
\(427\) 34403.6 19862.9i 0.188690 0.108940i
\(428\) 210269. + 112067.i 1.14786 + 0.611772i
\(429\) 190892. + 60759.5i 1.03722 + 0.330141i
\(430\) −172338. 287138.i −0.932062 1.55294i
\(431\) 119855.i 0.645211i −0.946533 0.322606i \(-0.895441\pi\)
0.946533 0.322606i \(-0.104559\pi\)
\(432\) 176371. + 61005.6i 0.945062 + 0.326890i
\(433\) −282465. −1.50657 −0.753284 0.657696i \(-0.771531\pi\)
−0.753284 + 0.657696i \(0.771531\pi\)
\(434\) 180098. 108094.i 0.956158 0.573880i
\(435\) 64828.1 203674.i 0.342598 1.07636i
\(436\) 56734.1 106449.i 0.298450 0.559977i
\(437\) 52776.3 + 91411.2i 0.276360 + 0.478670i
\(438\) −15746.5 66529.7i −0.0820800 0.346790i
\(439\) 148459. + 85712.8i 0.770331 + 0.444751i 0.832993 0.553284i \(-0.186626\pi\)
−0.0626618 + 0.998035i \(0.519959\pi\)
\(440\) 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 0.671846 0.740691i \(-0.265502\pi\)
−0.305535 + 0.952181i \(0.598835\pi\)
\(444\) −101400. 103952.i −0.514364 0.527311i
\(445\) 127152. + 220234.i 0.642102 + 1.11215i
\(446\) 101296. 1718.45i 0.509242 0.00863905i
\(447\) 111953. 24499.9i 0.560298 0.122616i
\(448\) 172499. + 77410.5i 0.859470 + 0.385695i
\(449\) 252767. 1.25380 0.626898 0.779101i \(-0.284324\pi\)
0.626898 + 0.779101i \(0.284324\pi\)
\(450\) 87561.1 128168.i 0.432400 0.632927i
\(451\) 81906.2i 0.402683i
\(452\) 15867.3 538.519i 0.0776653 0.00263587i
\(453\) 23518.2 21433.1i 0.114606 0.104445i
\(454\) −388774. + 6595.37i −1.88619 + 0.0319983i
\(455\) 402530. 232401.i 1.94435 1.12257i
\(456\) 46050.0 175032.i 0.221462 0.841757i
\(457\) 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 \(0.0156684\pi\)
\(462\) −88808.1 + 83735.4i −0.416072 + 0.392306i
\(463\) 86227.9 49783.7i 0.402240 0.232234i −0.285210 0.958465i \(-0.592063\pi\)
0.687450 + 0.726232i \(0.258730\pi\)
\(464\) −182552. + 12405.5i −0.847914 + 0.0576208i
\(465\) −251444. + 229150.i −1.16288 + 1.05978i
\(466\) −43810.9 + 26295.0i −0.201748 + 0.121088i
\(467\) 126990.i 0.582287i −0.956679 0.291144i \(-0.905964\pi\)
0.956679 0.291144i \(-0.0940358\pi\)
\(468\) −327998. 216012.i −1.49754 0.986249i
\(469\) 29797.6 0.135468
\(470\) −77437.5 129021.i −0.350555 0.584069i
\(471\) −261482. + 57223.0i −1.17869 + 0.257946i
\(472\) 35277.9 + 54498.5i 0.158350 + 0.244625i
\(473\) −92535.3 160276.i −0.413605 0.716384i
\(474\) 80772.2 269501.i 0.359505 1.19951i
\(475\) −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 0.390716 0.920511i \(-0.372227\pi\)
−0.601828 + 0.798626i \(0.705561\pi\)
\(480\) −298621. 67825.3i −1.29610 0.294381i
\(481\) 152800. + 264657.i 0.660439 + 1.14391i
\(482\) −690.660 40712.0i −0.00297283 0.175238i
\(483\) −42327.7 + 132983.i −0.181439 + 0.570037i
\(484\) −147849. + 5017.82i −0.631142 + 0.0214202i
\(485\) −423105. −1.79872
\(486\) 198779. 127576.i 0.841583 0.540128i
\(487\) 274913.i 1.15914i 0.814921 + 0.579572i \(0.196780\pi\)
−0.814921 + 0.579572i \(0.803220\pi\)
\(488\) 49038.8 + 25077.5i 0.205921 + 0.105304i
\(489\) 50632.7 + 16116.1i 0.211745 + 0.0673971i
\(490\) −609.226 35911.8i −0.00253739 0.149570i
\(491\) 28037.6 16187.5i 0.116299 0.0671455i −0.440722 0.897644i \(-0.645277\pi\)
0.557021 + 0.830498i \(0.311944\pi\)
\(492\) −43484.4 + 154575.i −0.179640 + 0.638571i
\(493\) −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
\(498\) 84167.0 280828.i 0.339377 1.13235i
\(499\) −251446. + 145172.i −1.00982 + 0.583019i −0.911139 0.412100i \(-0.864796\pi\)
−0.0986806 + 0.995119i \(0.531462\pi\)
\(500\) 36487.4 68460.7i 0.145950 0.273843i
\(501\) −39569.8 180815.i −0.157648 0.720376i
\(502\) 44973.7 + 74932.1i 0.178464 + 0.297345i
\(503\) 9486.90i 0.0374963i 0.999824 + 0.0187481i \(0.00596807\pi\)
−0.999824 + 0.0187481i \(0.994032\pi\)
\(504\) 212056. 110879.i 0.834815 0.436502i
\(505\) 456761. 1.79104
\(506\) 84624.4 50791.0i 0.330518 0.198375i
\(507\) 383568. + 420885.i 1.49220 + 1.63737i
\(508\) −100583. 53607.3i −0.389758 0.207729i
\(509\) 146376. + 253530.i 0.564980 + 0.978575i 0.997052 + 0.0767350i \(0.0244496\pi\)
−0.432071 + 0.901839i \(0.642217\pi\)
\(510\) −158417. + 149368.i −0.609061 + 0.574271i
\(511\) −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
\(516\) 89543.5 + 351604.i 0.336306 + 1.32055i
\(517\) −41579.3 72017.4i −0.155559 0.269437i
\(518\) −186174. + 3158.36i −0.693841 + 0.0117707i
\(519\) 37040.1 + 40643.7i 0.137511 + 0.150889i
\(520\) 573765. + 293412.i 2.12191 + 1.08510i
\(521\) −344253. −1.26824 −0.634120 0.773234i \(-0.718638\pi\)
−0.634120 + 0.773234i \(0.718638\pi\)
\(522\) −130632. + 191213.i −0.479413 + 0.701742i
\(523\) 79326.1i 0.290010i 0.989431 + 0.145005i \(0.0463198\pi\)
−0.989431 + 0.145005i \(0.953680\pi\)
\(524\) −3777.01 111289.i −0.0137558 0.405312i
\(525\) −42549.1 194429.i −0.154373 0.705411i
\(526\) 100639. 1707.29i 0.363742 0.00617071i
\(527\) 179323. 103532.i 0.645675 0.372780i
\(528\) −164370. 40276.6i −0.589595 0.144473i
\(529\) −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
\(534\) −63458.5 268114.i −0.222540 0.940237i
\(535\) −428527. + 247410.i −1.49717 + 0.864391i
\(536\) 22450.0 + 34681.6i 0.0781424 + 0.120717i
\(537\) 98923.0 + 31486.5i 0.343043 + 0.109188i
\(538\) 185731. 111474.i 0.641681 0.385133i
\(539\) 19849.0i 0.0683223i
\(540\) −301299. + 243779.i −1.03326 + 0.836003i
\(541\) 167330. 0.571715 0.285857 0.958272i \(-0.407722\pi\)
0.285857 + 0.958272i \(0.407722\pi\)
\(542\) 195436. + 325622.i 0.665283 + 1.10845i
\(543\) −69728.0 + 219068.i −0.236487 + 0.742985i
\(544\) 168731. + 79184.7i 0.570159 + 0.267574i
\(545\) 125252. + 216943.i 0.421689 + 0.730387i
\(546\) −490042. + 115985.i −1.64380 + 0.389061i
\(547\) 246877. + 142535.i 0.825100 + 0.476372i 0.852172 0.523262i \(-0.175285\pi\)
−0.0270722 + 0.999633i \(0.508618\pi\)
\(548\) −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
\(552\) −186670. + 50926.5i −0.612628 + 0.167134i
\(553\) −180374. 312417.i −0.589827 1.02161i
\(554\) 7330.30 + 432096.i 0.0238837 + 1.40786i
\(555\) 294604. 64471.6i 0.956429 0.209306i
\(556\) −11583.2 341297.i −0.0374696 1.10403i
\(557\) 51271.9 0.165260 0.0826302 0.996580i \(-0.473668\pi\)
0.0826302 + 0.996580i \(0.473668\pi\)
\(558\) 332231. 159607.i 1.06702 0.512606i
\(559\) 763547.i 2.44350i
\(560\) −325954. + 218930.i −1.03939 + 0.698117i
\(561\) −88934.6 + 81049.4i −0.282582 + 0.257528i
\(562\) −4676.52 275665.i −0.0148064 0.872787i
\(563\) 2488.80 1436.91i 0.00785187 0.00453328i −0.496069 0.868283i \(-0.665224\pi\)
0.503921 + 0.863750i \(0.331890\pi\)
\(564\) 40235.0 + 157988.i 0.126487 + 0.496666i
\(565\) −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 \(0.110456\pi\)
\(570\) 257850. + 273471.i 0.793630 + 0.841709i
\(571\) 27258.4 15737.7i 0.0836043 0.0482689i −0.457615 0.889150i \(-0.651296\pi\)
0.541219 + 0.840881i \(0.317963\pi\)
\(572\) 314288. + 167505.i 0.960585 + 0.511961i
\(573\) 259880. 236838.i 0.791522 0.721344i
\(574\) 105957. + 176538.i 0.321592 + 0.535813i
\(575\) 160935.i 0.486760i
\(576\) 288819. + 163276.i 0.870524 + 0.492126i
\(577\) −654654. −1.96635 −0.983174 0.182671i \(-0.941526\pi\)
−0.983174 + 0.182671i \(0.941526\pi\)
\(578\) −172822. + 103727.i −0.517301 + 0.310480i
\(579\) −244682. + 53546.6i −0.729870 + 0.159726i
\(580\) 178722. 335333.i 0.531278 0.996829i
\(581\) −187955. 325548.i −0.556803 0.964412i
\(582\) 439108. + 131605.i 1.29636 + 0.388532i
\(583\) −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 \(-0.949838\pi\)
−0.629716 0.776825i \(1.28317\pi\)
\(588\) −10538.0 + 37459.6i −0.0304791 + 0.108345i
\(589\) −178725. 309561.i −0.515175 0.892309i
\(590\) −134802. + 2286.86i −0.387251 + 0.00656954i
\(591\) −57604.8 + 180980.i −0.164924 + 0.518151i
\(592\) −143943. 214310.i −0.410721 0.611503i
\(593\) −183090. −0.520661 −0.260330 0.965520i \(-0.583831\pi\)
−0.260330 + 0.965520i \(0.583831\pi\)
\(594\) −168770. + 131877.i −0.478325 + 0.373764i
\(595\) 279180.i 0.788589i
\(596\) 203620. 6910.62i 0.573228 0.0194547i
\(597\) 46722.1 + 14871.3i 0.131091 + 0.0417255i
\(598\) 407134. 6906.84i 1.13851 0.0193142i
\(599\) −24104.3 + 13916.6i −0.0671800 + 0.0387864i −0.533214 0.845981i \(-0.679016\pi\)
0.466034 + 0.884767i \(0.345683\pi\)
\(600\) 194240. 196009.i 0.539555 0.544470i
\(601\) 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
\(606\) −474037. 142074.i −1.29082 0.386873i
\(607\) −86991.8 + 50224.8i −0.236103 + 0.136314i −0.613384 0.789785i \(-0.710192\pi\)
0.377281 + 0.926099i \(0.376859\pi\)
\(608\) 136695. 291276.i 0.369781 0.787948i
\(609\) 63479.0 + 290068.i 0.171157 + 0.782106i
\(610\) −98075.2 + 58864.1i −0.263572 + 0.158194i
\(611\) 343088.i 0.919015i
\(612\) 210869. 105743.i 0.563002 0.282323i
\(613\) 458408. 1.21992 0.609960 0.792432i \(-0.291185\pi\)
0.609960 + 0.792432i \(0.291185\pi\)
\(614\) −197339. 328793.i −0.523451 0.872138i
\(615\) −224620. 246473.i −0.593880 0.651657i
\(616\) −182161. + 117916.i −0.480057 + 0.310750i
\(617\) 237317. + 411046.i 0.623389 + 1.07974i 0.988850 + 0.148915i \(0.0475781\pi\)
−0.365461 + 0.930827i \(0.619089\pi\)
\(618\) 320862. + 340300.i 0.840120 + 0.891016i
\(619\) 5714.30 + 3299.15i 0.0149136 + 0.00861036i 0.507438 0.861688i \(-0.330593\pi\)
−0.492525 + 0.870298i \(0.663926\pi\)
\(620\) −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
\(624\) −504202. 482977.i −1.29490 1.24039i
\(625\) 230266. + 398833.i 0.589481 + 1.02101i
\(626\) −6737.96 397179.i −0.0171941 1.01353i
\(627\) 139914. + 153526.i 0.355898 + 0.390523i
\(628\) −475584. + 16140.8i −1.20589 + 0.0409265i
\(629\) −183557. −0.463948
\(630\) −37606.1 + 495526.i −0.0947495 + 1.24849i
\(631\) 102946.i 0.258553i 0.991609 + 0.129277i \(0.0412655\pi\)
−0.991609 + 0.129277i \(0.958734\pi\)
\(632\) 227727. 445319.i 0.570139 1.11490i
\(633\) 133157. + 608464.i 0.332320 + 1.51854i
\(634\) 4032.97 + 237730.i 0.0100334 + 0.591432i
\(635\) 204987. 118349.i 0.508368 0.293506i
\(636\) 106359. + 109036.i 0.262942 + 0.269561i
\(637\) 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 \(0.330623\pi\)
\(642\) 521692. 123476.i 1.26574 0.299581i
\(643\) 426111. 246015.i 1.03063 0.595032i 0.113462 0.993542i \(-0.463806\pi\)
0.917164 + 0.398510i \(0.130473\pi\)
\(644\) −116691. + 218946.i −0.281363 + 0.527917i
\(645\) −718001. 228535.i −1.72586 0.549329i
\(646\) −117730. 196154.i −0.282113 0.470037i
\(647\) 306912.i 0.733171i 0.930384 + 0.366586i \(0.119473\pi\)
−0.930384 + 0.366586i \(0.880527\pi\)
\(648\) 388521. 159281.i 0.925262 0.379328i
\(649\) −74507.5 −0.176893
\(650\) −497922. + 298849.i −1.17851 + 0.707335i
\(651\) 143341. 450343.i 0.338227 1.06263i
\(652\) 83362.7 + 44429.7i 0.196100 + 0.104515i
\(653\) −97661.8 169155.i −0.229033 0.396697i 0.728489 0.685058i \(-0.240223\pi\)
−0.957522 + 0.288361i \(0.906890\pi\)
\(654\) −62510.3 264108.i −0.146149 0.617484i
\(655\) 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 \(0.0249510\pi\)
0.566279 + 0.824213i \(0.308382\pi\)
\(660\) 251582. 245405.i 0.577553 0.563372i
\(661\) −371075. 642721.i −0.849295 1.47102i −0.881838 0.471552i \(-0.843694\pi\)
0.0325431 0.999470i \(-0.489639\pi\)
\(662\) 368768. 6255.97i 0.841467 0.0142751i
\(663\) −484953. + 106128.i −1.10325 + 0.241436i
\(664\) 237298. 464035.i 0.538218 1.05248i
\(665\) 481943. 1.08981
\(666\) −325801. 24725.4i −0.734520 0.0557436i
\(667\) 240099.i 0.539682i
\(668\) −11161.4 328867.i −0.0250129 0.737000i
\(669\) 168481. 153543.i 0.376442 0.343065i
\(670\) −85784.9 + 1455.30i −0.191100 + 0.00324193i
\(671\) −54744.0 + 31606.5i −0.121588 + 0.0701990i
\(672\) 406380. 125823.i 0.899898 0.278627i
\(673\) −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 \(0.275832\pi\)
\(678\) 25990.7 24506.1i 0.0565404 0.0533107i
\(679\) 509034. 293891.i 1.10410 0.637450i
\(680\) −324940. + 210339.i −0.702724 + 0.454886i
\(681\) −646626. + 589294.i −1.39431 + 1.27069i
\(682\) −286577. + 172002.i −0.616131 + 0.369798i
\(683\) 760287.i 1.62981i 0.579597 + 0.814903i \(0.303210\pi\)
−0.579597 + 0.814903i \(0.696790\pi\)
\(684\) −182541. 364018.i −0.390165 0.778056i
\(685\) 282065. 0.601130
\(686\) 253819. + 422896.i 0.539357 + 0.898639i
\(687\) 755164. 165261.i 1.60003 0.350152i
\(688\) 43732.4 + 643541.i 0.0923904 + 1.35956i
\(689\) −160273. 277602.i −0.337616 0.584768i
\(690\) 115363. 384916.i 0.242309 0.808477i
\(691\) 313235. + 180846.i 0.656016 + 0.378751i 0.790757 0.612130i \(-0.209687\pi\)
−0.134742 + 0.990881i \(0.543020\pi\)
\(692\) 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
\(696\) −289786. + 292426.i −0.598217 + 0.603667i
\(697\) 101485. + 175777.i 0.208899 + 0.361824i
\(698\) −12707.4 749057.i −0.0260823 1.53746i
\(699\) −34869.3 + 109551.i −0.0713656 + 0.224214i
\(700\) −12001.7 353628.i −0.0244933 0.721690i
\(701\) 878492. 1.78773 0.893864 0.448337i \(-0.147984\pi\)
0.893864 + 0.448337i \(0.147984\pi\)
\(702\) −875054. + 123046.i −1.77566 + 0.249684i
\(703\) 316870.i 0.641167i
\(704\) −274486. 123178.i −0.553827 0.248535i
\(705\) −322622. 102688.i −0.649107 0.206606i
\(706\) 3081.37 + 181636.i 0.00618208 + 0.364412i
\(707\) −549525. + 317268.i −1.09938 + 0.634728i
\(708\) 140612. + 39556.4i 0.280515 + 0.0789133i
\(709\) −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
\(714\) 86838.0 289740.i 0.170339 0.568345i
\(715\) −640517. + 369803.i −1.25291 + 0.723366i
\(716\) 162869. + 86803.9i 0.317696 + 0.169322i
\(717\) −203836. 931435.i −0.396500 1.81182i
\(718\) −147189. 245236.i −0.285514 0.475703i
\(719\) 424008.i 0.820193i −0.912042 0.410097i \(-0.865495\pi\)
0.912042 0.410097i \(-0.134505\pi\)
\(720\) −605078. + 329568.i −1.16720 + 0.635740i
\(721\) 599717. 1.15365
\(722\) 108343. 65026.6i 0.207838 0.124743i
\(723\) −61710.3 67714.0i −0.118054 0.129539i
\(724\) −192230. + 360679.i −0.366728 + 0.688087i
\(725\) 171209. + 296543.i 0.325725 + 0.564172i
\(726\) −242177. + 228343.i −0.459472 + 0.433226i
\(727\) −78836.8 45516.5i −0.149163 0.0861191i 0.423561 0.905868i \(-0.360780\pi\)
−0.572724 + 0.819748i \(0.694113\pi\)
\(728\) −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
\(732\) 120094. 30584.6i 0.224130 0.0570795i
\(733\) 6638.99 + 11499.1i 0.0123565 + 0.0214020i 0.872138 0.489261i \(-0.162733\pi\)
−0.859781 + 0.510663i \(0.829400\pi\)
\(734\) 265109. 4497.44i 0.492076 0.00834783i
\(735\) −54434.2 59730.0i −0.100762 0.110565i
\(736\) −342750. + 29140.1i −0.632735 + 0.0537942i
\(737\) −47414.8 −0.0872929
\(738\) 156452. + 325663.i 0.287255 + 0.597937i
\(739\) 622195.i 1.13930i −0.821888 0.569650i \(-0.807079\pi\)
0.821888 0.569650i \(-0.192921\pi\)
\(740\) 535827. 18185.3i 0.978501 0.0332092i
\(741\) 183206. + 837164.i 0.333660 + 1.52466i
\(742\) 195280. 3312.84i 0.354691 0.00601717i
\(743\) −606588. + 350214.i −1.09879 + 0.634389i −0.935904 0.352255i \(-0.885415\pi\)
−0.162890 + 0.986644i \(0.552082\pi\)
\(744\) 632152. 172461.i 1.14203 0.311562i
\(745\) −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
\(750\) −40202.2 169856.i −0.0714706 0.301965i
\(751\) 73727.4 42566.6i 0.130722 0.0754725i −0.433213 0.901292i \(-0.642620\pi\)
0.563935 + 0.825819i \(0.309287\pi\)
\(752\) 19650.5 + 289165.i 0.0347486 + 0.511340i
\(753\) 187371. + 59638.8i 0.330455 + 0.105181i
\(754\) 742849. 445853.i 1.30665 0.784240i
\(755\) 117477.i 0.206091i
\(756\) 193160. 502571.i 0.337966 0.879334i
\(757\) 319528. 0.557592 0.278796 0.960350i \(-0.410065\pi\)
0.278796 + 0.960350i \(0.410065\pi\)
\(758\) −377066. 628241.i −0.656265 1.09342i
\(759\) 67353.0 211607.i 0.116916 0.367321i
\(760\) 363104. + 560936.i 0.628643 + 0.971150i
\(761\) −376888. 652790.i −0.650794 1.12721i −0.982931 0.183977i \(-0.941103\pi\)
0.332137 0.943231i \(-0.392230\pi\)
\(762\) −249552. + 59065.1i −0.429785 + 0.101723i
\(763\) −301379. 174001.i −0.517684 0.298885i