Properties

Label 36.5.f.a.7.7
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 7.7
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.23562 - 3.31693i) q^{2} +(3.18543 + 8.41742i) q^{3} +(-6.00404 + 14.8308i) q^{4} +(-23.3466 - 40.4374i) q^{5} +(20.7986 - 29.3840i) q^{6} +(-52.4363 - 30.2741i) q^{7} +(62.6153 - 13.2409i) q^{8} +(-60.7060 + 53.6263i) q^{9} +O(q^{10})\) \(q+(-2.23562 - 3.31693i) q^{2} +(3.18543 + 8.41742i) q^{3} +(-6.00404 + 14.8308i) q^{4} +(-23.3466 - 40.4374i) q^{5} +(20.7986 - 29.3840i) q^{6} +(-52.4363 - 30.2741i) q^{7} +(62.6153 - 13.2409i) q^{8} +(-60.7060 + 53.6263i) q^{9} +(-81.9341 + 167.841i) q^{10} +(-63.7631 - 36.8136i) q^{11} +(-143.962 - 3.29614i) q^{12} +(15.5924 + 27.0068i) q^{13} +(16.8104 + 241.609i) q^{14} +(266.010 - 325.329i) q^{15} +(-183.903 - 178.089i) q^{16} +53.8013 q^{17} +(313.590 + 81.4697i) q^{18} -54.9619i q^{19} +(739.891 - 103.459i) q^{20} +(87.7977 - 537.815i) q^{21} +(20.4416 + 293.799i) q^{22} +(243.863 - 140.795i) q^{23} +(310.911 + 484.882i) q^{24} +(-777.624 + 1346.88i) q^{25} +(54.7210 - 112.096i) q^{26} +(-644.770 - 340.165i) q^{27} +(763.818 - 595.904i) q^{28} +(223.597 - 387.282i) q^{29} +(-1673.79 - 155.026i) q^{30} +(240.584 - 138.901i) q^{31} +(-179.572 + 1008.13i) q^{32} +(106.763 - 653.989i) q^{33} +(-120.279 - 178.455i) q^{34} +2827.19i q^{35} +(-430.837 - 1222.29i) q^{36} +1016.51 q^{37} +(-182.305 + 122.874i) q^{38} +(-177.659 + 217.276i) q^{39} +(-1997.28 - 2222.87i) q^{40} +(-946.158 - 1638.79i) q^{41} +(-1980.18 + 911.129i) q^{42} +(666.266 + 384.669i) q^{43} +(928.811 - 724.625i) q^{44} +(3585.79 + 1202.81i) q^{45} +(-1012.19 - 494.115i) q^{46} +(-2374.81 - 1371.10i) q^{47} +(913.240 - 2115.28i) q^{48} +(632.546 + 1095.60i) q^{49} +(6205.98 - 431.792i) q^{50} +(171.381 + 452.869i) q^{51} +(-494.148 + 69.0969i) q^{52} -4647.69 q^{53} +(313.155 + 2899.14i) q^{54} +3437.89i q^{55} +(-3684.18 - 1201.32i) q^{56} +(462.637 - 175.078i) q^{57} +(-1784.46 + 124.157i) q^{58} +(262.792 - 151.723i) q^{59} +(3227.74 + 5898.42i) q^{60} +(-478.174 + 828.222i) q^{61} +(-998.577 - 487.469i) q^{62} +(4806.69 - 974.145i) q^{63} +(3745.36 - 1658.17i) q^{64} +(728.057 - 1261.03i) q^{65} +(-2407.91 + 1107.94i) q^{66} +(6010.96 - 3470.43i) q^{67} +(-323.026 + 797.915i) q^{68} +(1961.94 + 1604.21i) q^{69} +(9377.58 - 6320.51i) q^{70} -5971.60i q^{71} +(-3091.07 + 4161.63i) q^{72} -4339.17 q^{73} +(-2272.53 - 3371.70i) q^{74} +(-13814.4 - 2255.18i) q^{75} +(815.127 + 329.993i) q^{76} +(2229.00 + 3860.75i) q^{77} +(1117.87 + 103.537i) q^{78} +(-3294.15 - 1901.88i) q^{79} +(-2907.96 + 11594.3i) q^{80} +(809.440 - 6510.88i) q^{81} +(-3320.52 + 6802.05i) q^{82} +(2730.64 + 1576.53i) q^{83} +(7449.07 + 4531.17i) q^{84} +(-1256.08 - 2175.59i) q^{85} +(-213.596 - 3069.93i) q^{86} +(3972.17 + 648.452i) q^{87} +(-4479.99 - 1460.82i) q^{88} -7132.44 q^{89} +(-4026.82 - 14582.8i) q^{90} -1888.18i q^{91} +(623.925 + 4462.02i) q^{92} +(1935.55 + 1582.63i) q^{93} +(761.331 + 10942.3i) q^{94} +(-2222.52 + 1283.17i) q^{95} +(-9057.89 + 1699.80i) q^{96} +(980.405 - 1698.11i) q^{97} +(2219.91 - 4547.46i) q^{98} +(5844.98 - 1184.57i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.23562 3.31693i −0.558904 0.829232i
\(3\) 3.18543 + 8.41742i 0.353937 + 0.935269i
\(4\) −6.00404 + 14.8308i −0.375253 + 0.926923i
\(5\) −23.3466 40.4374i −0.933862 1.61750i −0.776650 0.629932i \(-0.783083\pi\)
−0.157212 0.987565i \(-0.550251\pi\)
\(6\) 20.7986 29.3840i 0.577739 0.816222i
\(7\) −52.4363 30.2741i −1.07013 0.617839i −0.141913 0.989879i \(-0.545325\pi\)
−0.928217 + 0.372040i \(0.878659\pi\)
\(8\) 62.6153 13.2409i 0.978364 0.206889i
\(9\) −60.7060 + 53.6263i −0.749457 + 0.662053i
\(10\) −81.9341 + 167.841i −0.819341 + 1.67841i
\(11\) −63.7631 36.8136i −0.526968 0.304245i 0.212813 0.977093i \(-0.431737\pi\)
−0.739781 + 0.672848i \(0.765071\pi\)
\(12\) −143.962 3.29614i −0.999738 0.0228898i
\(13\) 15.5924 + 27.0068i 0.0922626 + 0.159803i 0.908463 0.417966i \(-0.137257\pi\)
−0.816200 + 0.577769i \(0.803923\pi\)
\(14\) 16.8104 + 241.609i 0.0857671 + 1.23270i
\(15\) 266.010 325.329i 1.18227 1.44590i
\(16\) −183.903 178.089i −0.718371 0.695660i
\(17\) 53.8013 0.186164 0.0930819 0.995658i \(-0.470328\pi\)
0.0930819 + 0.995658i \(0.470328\pi\)
\(18\) 313.590 + 81.4697i 0.967870 + 0.251450i
\(19\) 54.9619i 0.152249i −0.997098 0.0761245i \(-0.975745\pi\)
0.997098 0.0761245i \(-0.0242546\pi\)
\(20\) 739.891 103.459i 1.84973 0.258648i
\(21\) 87.7977 537.815i 0.199088 1.21954i
\(22\) 20.4416 + 293.799i 0.0422346 + 0.607023i
\(23\) 243.863 140.795i 0.460990 0.266152i −0.251471 0.967865i \(-0.580914\pi\)
0.712460 + 0.701712i \(0.247581\pi\)
\(24\) 310.911 + 484.882i 0.539777 + 0.841808i
\(25\) −777.624 + 1346.88i −1.24420 + 2.15501i
\(26\) 54.7210 112.096i 0.0809483 0.165822i
\(27\) −644.770 340.165i −0.884459 0.466619i
\(28\) 763.818 595.904i 0.974258 0.760081i
\(29\) 223.597 387.282i 0.265871 0.460502i −0.701921 0.712255i \(-0.747674\pi\)
0.967791 + 0.251753i \(0.0810072\pi\)
\(30\) −1673.79 155.026i −1.85976 0.172252i
\(31\) 240.584 138.901i 0.250347 0.144538i −0.369576 0.929200i \(-0.620497\pi\)
0.619923 + 0.784663i \(0.287164\pi\)
\(32\) −179.572 + 1008.13i −0.175364 + 0.984504i
\(33\) 106.763 653.989i 0.0980375 0.600540i
\(34\) −120.279 178.455i −0.104048 0.154373i
\(35\) 2827.19i 2.30791i
\(36\) −430.837 1222.29i −0.332436 0.943126i
\(37\) 1016.51 0.742522 0.371261 0.928528i \(-0.378925\pi\)
0.371261 + 0.928528i \(0.378925\pi\)
\(38\) −182.305 + 122.874i −0.126250 + 0.0850926i
\(39\) −177.659 + 217.276i −0.116804 + 0.142851i
\(40\) −1997.28 2222.87i −1.24830 1.38930i
\(41\) −946.158 1638.79i −0.562854 0.974892i −0.997246 0.0741680i \(-0.976370\pi\)
0.434392 0.900724i \(-0.356963\pi\)
\(42\) −1980.18 + 911.129i −1.12255 + 0.516513i
\(43\) 666.266 + 384.669i 0.360339 + 0.208042i 0.669229 0.743056i \(-0.266624\pi\)
−0.308891 + 0.951098i \(0.599958\pi\)
\(44\) 928.811 724.625i 0.479758 0.374290i
\(45\) 3585.79 + 1202.81i 1.77076 + 0.593978i
\(46\) −1012.19 494.115i −0.478351 0.233514i
\(47\) −2374.81 1371.10i −1.07506 0.620687i −0.145502 0.989358i \(-0.546480\pi\)
−0.929560 + 0.368671i \(0.879813\pi\)
\(48\) 913.240 2115.28i 0.396371 0.918090i
\(49\) 632.546 + 1095.60i 0.263451 + 0.456311i
\(50\) 6205.98 431.792i 2.48239 0.172717i
\(51\) 171.381 + 452.869i 0.0658903 + 0.174113i
\(52\) −494.148 + 69.0969i −0.182747 + 0.0255536i
\(53\) −4647.69 −1.65457 −0.827286 0.561780i \(-0.810117\pi\)
−0.827286 + 0.561780i \(0.810117\pi\)
\(54\) 313.155 + 2899.14i 0.107392 + 0.994217i
\(55\) 3437.89i 1.13649i
\(56\) −3684.18 1201.32i −1.17480 0.383074i
\(57\) 462.637 175.078i 0.142394 0.0538866i
\(58\) −1784.46 + 124.157i −0.530459 + 0.0369076i
\(59\) 262.792 151.723i 0.0754934 0.0435861i −0.461778 0.886995i \(-0.652788\pi\)
0.537272 + 0.843409i \(0.319455\pi\)
\(60\) 3227.74 + 5898.42i 0.896593 + 1.63845i
\(61\) −478.174 + 828.222i −0.128507 + 0.222580i −0.923098 0.384564i \(-0.874352\pi\)
0.794591 + 0.607145i \(0.207685\pi\)
\(62\) −998.577 487.469i −0.259776 0.126813i
\(63\) 4806.69 974.145i 1.21106 0.245438i
\(64\) 3745.36 1658.17i 0.914394 0.404826i
\(65\) 728.057 1261.03i 0.172321 0.298469i
\(66\) −2407.91 + 1107.94i −0.552781 + 0.254349i
\(67\) 6010.96 3470.43i 1.33904 0.773096i 0.352376 0.935858i \(-0.385374\pi\)
0.986665 + 0.162762i \(0.0520403\pi\)
\(68\) −323.026 + 797.915i −0.0698585 + 0.172559i
\(69\) 1961.94 + 1604.21i 0.412086 + 0.336948i
\(70\) 9377.58 6320.51i 1.91379 1.28990i
\(71\) 5971.60i 1.18461i −0.805715 0.592303i \(-0.798219\pi\)
0.805715 0.592303i \(-0.201781\pi\)
\(72\) −3091.07 + 4161.63i −0.596270 + 0.802784i
\(73\) −4339.17 −0.814257 −0.407128 0.913371i \(-0.633470\pi\)
−0.407128 + 0.913371i \(0.633470\pi\)
\(74\) −2272.53 3371.70i −0.414999 0.615724i
\(75\) −13814.4 2255.18i −2.45589 0.400920i
\(76\) 815.127 + 329.993i 0.141123 + 0.0571318i
\(77\) 2229.00 + 3860.75i 0.375949 + 0.651163i
\(78\) 1117.87 + 103.537i 0.183739 + 0.0170179i
\(79\) −3294.15 1901.88i −0.527824 0.304740i 0.212306 0.977203i \(-0.431903\pi\)
−0.740130 + 0.672464i \(0.765236\pi\)
\(80\) −2907.96 + 11594.3i −0.454369 + 1.81161i
\(81\) 809.440 6510.88i 0.123371 0.992361i
\(82\) −3320.52 + 6802.05i −0.493831 + 1.01161i
\(83\) 2730.64 + 1576.53i 0.396376 + 0.228848i 0.684919 0.728619i \(-0.259837\pi\)
−0.288543 + 0.957467i \(0.593171\pi\)
\(84\) 7449.07 + 4531.17i 1.05571 + 0.642173i
\(85\) −1256.08 2175.59i −0.173851 0.301119i
\(86\) −213.596 3069.93i −0.0288799 0.415080i
\(87\) 3972.17 + 648.452i 0.524795 + 0.0856721i
\(88\) −4479.99 1460.82i −0.578512 0.188639i
\(89\) −7132.44 −0.900447 −0.450224 0.892916i \(-0.648656\pi\)
−0.450224 + 0.892916i \(0.648656\pi\)
\(90\) −4026.82 14582.8i −0.497138 1.80035i
\(91\) 1888.18i 0.228014i
\(92\) 623.925 + 4462.02i 0.0737152 + 0.527176i
\(93\) 1935.55 + 1582.63i 0.223789 + 0.182985i
\(94\) 761.331 + 10942.3i 0.0861624 + 1.23838i
\(95\) −2222.52 + 1283.17i −0.246262 + 0.142180i
\(96\) −9057.89 + 1699.80i −0.982844 + 0.184440i
\(97\) 980.405 1698.11i 0.104199 0.180477i −0.809212 0.587517i \(-0.800106\pi\)
0.913411 + 0.407040i \(0.133439\pi\)
\(98\) 2219.91 4547.46i 0.231144 0.473496i
\(99\) 5844.98 1184.57i 0.596366 0.120862i
\(100\) −15306.4 19619.5i −1.53064 1.96195i
\(101\) 3849.96 6668.32i 0.377410 0.653693i −0.613275 0.789870i \(-0.710148\pi\)
0.990685 + 0.136177i \(0.0434815\pi\)
\(102\) 1118.99 1580.90i 0.107554 0.151951i
\(103\) −3195.22 + 1844.76i −0.301180 + 0.173886i −0.642973 0.765889i \(-0.722299\pi\)
0.341793 + 0.939775i \(0.388966\pi\)
\(104\) 1333.92 + 1484.58i 0.123328 + 0.137258i
\(105\) −23797.6 + 9005.82i −2.15852 + 0.816854i
\(106\) 10390.5 + 15416.1i 0.924747 + 1.37203i
\(107\) 13741.5i 1.20024i 0.799911 + 0.600118i \(0.204880\pi\)
−0.799911 + 0.600118i \(0.795120\pi\)
\(108\) 8916.14 7520.07i 0.764415 0.644725i
\(109\) 18709.9 1.57478 0.787388 0.616458i \(-0.211433\pi\)
0.787388 + 0.616458i \(0.211433\pi\)
\(110\) 11403.2 7685.80i 0.942416 0.635190i
\(111\) 3238.04 + 8556.42i 0.262806 + 0.694458i
\(112\) 4251.71 + 14905.8i 0.338944 + 1.18828i
\(113\) 5000.50 + 8661.12i 0.391613 + 0.678293i 0.992662 0.120919i \(-0.0385840\pi\)
−0.601050 + 0.799212i \(0.705251\pi\)
\(114\) −1615.00 1143.13i −0.124269 0.0879601i
\(115\) −11386.7 6574.14i −0.861002 0.497099i
\(116\) 4401.20 + 5641.38i 0.327081 + 0.419246i
\(117\) −2394.83 803.313i −0.174945 0.0586831i
\(118\) −1090.76 532.469i −0.0783366 0.0382411i
\(119\) −2821.15 1628.79i −0.199219 0.115019i
\(120\) 12348.7 23892.8i 0.857545 1.65922i
\(121\) −4610.01 7984.77i −0.314870 0.545371i
\(122\) 3816.17 265.516i 0.256394 0.0178390i
\(123\) 10780.5 13184.5i 0.712572 0.871471i
\(124\) 615.534 + 4402.00i 0.0400321 + 0.286291i
\(125\) 43436.1 2.77991
\(126\) −13977.1 13765.6i −0.880391 0.867072i
\(127\) 18883.8i 1.17080i 0.810745 + 0.585400i \(0.199063\pi\)
−0.810745 + 0.585400i \(0.800937\pi\)
\(128\) −13873.2 8716.06i −0.846753 0.531986i
\(129\) −1115.57 + 6833.58i −0.0670377 + 0.410647i
\(130\) −5810.41 + 404.269i −0.343811 + 0.0239212i
\(131\) 25700.9 14838.4i 1.49763 0.864660i 0.497639 0.867384i \(-0.334201\pi\)
0.999996 + 0.00272458i \(0.000867262\pi\)
\(132\) 9058.14 + 5509.95i 0.519866 + 0.316228i
\(133\) −1663.92 + 2882.00i −0.0940654 + 0.162926i
\(134\) −24949.4 12179.4i −1.38947 0.678290i
\(135\) 1297.77 + 34014.5i 0.0712080 + 1.86637i
\(136\) 3368.79 712.379i 0.182136 0.0385153i
\(137\) −8332.79 + 14432.8i −0.443965 + 0.768971i −0.997980 0.0635366i \(-0.979762\pi\)
0.554014 + 0.832507i \(0.313095\pi\)
\(138\) 934.908 10094.0i 0.0490920 0.530036i
\(139\) −3545.95 + 2047.25i −0.183528 + 0.105960i −0.588949 0.808170i \(-0.700458\pi\)
0.405421 + 0.914130i \(0.367125\pi\)
\(140\) −41929.3 16974.5i −2.13925 0.866048i
\(141\) 3976.30 24357.3i 0.200005 1.22516i
\(142\) −19807.4 + 13350.2i −0.982314 + 0.662081i
\(143\) 2296.05i 0.112282i
\(144\) 20714.3 + 949.039i 0.998952 + 0.0457677i
\(145\) −20880.9 −0.993147
\(146\) 9700.73 + 14392.7i 0.455091 + 0.675208i
\(147\) −7207.21 + 8814.38i −0.333528 + 0.407903i
\(148\) −6103.19 + 15075.7i −0.278633 + 0.688261i
\(149\) 2934.59 + 5082.86i 0.132183 + 0.228947i 0.924518 0.381139i \(-0.124468\pi\)
−0.792335 + 0.610086i \(0.791135\pi\)
\(150\) 23403.3 + 50863.0i 1.04015 + 2.26058i
\(151\) −28725.6 16584.7i −1.25984 0.727369i −0.286797 0.957991i \(-0.592591\pi\)
−0.973043 + 0.230622i \(0.925924\pi\)
\(152\) −727.745 3441.46i −0.0314987 0.148955i
\(153\) −3266.07 + 2885.17i −0.139522 + 0.123250i
\(154\) 7822.63 16024.6i 0.329846 0.675687i
\(155\) −11233.6 6485.72i −0.467579 0.269957i
\(156\) −2155.70 3939.35i −0.0885805 0.161873i
\(157\) −11089.2 19207.1i −0.449886 0.779226i 0.548492 0.836156i \(-0.315202\pi\)
−0.998378 + 0.0569302i \(0.981869\pi\)
\(158\) 1056.06 + 15178.3i 0.0423033 + 0.608009i
\(159\) −14804.9 39121.6i −0.585615 1.54747i
\(160\) 44958.6 16275.0i 1.75620 0.635741i
\(161\) −17049.7 −0.657758
\(162\) −23405.7 + 11871.0i −0.891850 + 0.452331i
\(163\) 31303.8i 1.17821i 0.808057 + 0.589104i \(0.200519\pi\)
−0.808057 + 0.589104i \(0.799481\pi\)
\(164\) 29985.3 4192.86i 1.11486 0.155891i
\(165\) −28938.2 + 10951.2i −1.06293 + 0.402247i
\(166\) −875.403 12581.8i −0.0317682 0.456592i
\(167\) −22551.7 + 13020.2i −0.808622 + 0.466858i −0.846477 0.532425i \(-0.821281\pi\)
0.0378548 + 0.999283i \(0.487948\pi\)
\(168\) −1623.68 34838.0i −0.0575284 1.23434i
\(169\) 13794.3 23892.4i 0.482975 0.836538i
\(170\) −4408.17 + 9030.10i −0.152532 + 0.312460i
\(171\) 2947.40 + 3336.52i 0.100797 + 0.114104i
\(172\) −9705.23 + 7571.67i −0.328057 + 0.255938i
\(173\) −7830.38 + 13562.6i −0.261632 + 0.453160i −0.966676 0.256004i \(-0.917594\pi\)
0.705044 + 0.709164i \(0.250927\pi\)
\(174\) −6729.38 14625.1i −0.222268 0.483059i
\(175\) 81551.5 47083.8i 2.66290 1.53743i
\(176\) 5170.12 + 18125.6i 0.166907 + 0.585151i
\(177\) 2114.23 + 1728.73i 0.0674846 + 0.0551799i
\(178\) 15945.4 + 23657.8i 0.503264 + 0.746680i
\(179\) 36836.7i 1.14967i −0.818268 0.574837i \(-0.805065\pi\)
0.818268 0.574837i \(-0.194935\pi\)
\(180\) −39367.7 + 45958.2i −1.21505 + 1.41846i
\(181\) 56961.0 1.73868 0.869342 0.494211i \(-0.164543\pi\)
0.869342 + 0.494211i \(0.164543\pi\)
\(182\) −6262.97 + 4221.25i −0.189076 + 0.127438i
\(183\) −8494.68 1386.75i −0.253656 0.0414090i
\(184\) 13405.3 12044.9i 0.395952 0.355768i
\(185\) −23732.1 41105.2i −0.693414 1.20103i
\(186\) 922.334 9958.25i 0.0266601 0.287844i
\(187\) −3430.54 1980.62i −0.0981024 0.0566394i
\(188\) 34592.9 26988.1i 0.978749 0.763584i
\(189\) 23511.2 + 37356.9i 0.658190 + 1.04580i
\(190\) 9224.88 + 4503.26i 0.255537 + 0.124744i
\(191\) 33837.1 + 19535.9i 0.927527 + 0.535508i 0.886029 0.463630i \(-0.153453\pi\)
0.0414986 + 0.999139i \(0.486787\pi\)
\(192\) 25888.1 + 26244.3i 0.702259 + 0.711921i
\(193\) −2025.97 3509.08i −0.0543898 0.0942059i 0.837549 0.546363i \(-0.183988\pi\)
−0.891938 + 0.452157i \(0.850655\pi\)
\(194\) −7824.33 + 544.391i −0.207895 + 0.0144646i
\(195\) 12933.8 + 2111.43i 0.340140 + 0.0555274i
\(196\) −20046.5 + 2803.10i −0.521826 + 0.0729670i
\(197\) −44869.6 −1.15617 −0.578083 0.815978i \(-0.696199\pi\)
−0.578083 + 0.815978i \(0.696199\pi\)
\(198\) −16996.3 16739.2i −0.433534 0.426976i
\(199\) 56256.7i 1.42059i −0.703905 0.710294i \(-0.748562\pi\)
0.703905 0.710294i \(-0.251438\pi\)
\(200\) −30857.2 + 94632.0i −0.771430 + 2.36580i
\(201\) 48359.6 + 39542.0i 1.19699 + 0.978737i
\(202\) −30725.4 + 2137.77i −0.752999 + 0.0523912i
\(203\) −23449.3 + 13538.4i −0.569032 + 0.328531i
\(204\) −7745.36 177.337i −0.186115 0.00426126i
\(205\) −44179.1 + 76520.4i −1.05126 + 1.82083i
\(206\) 13262.2 + 6474.13i 0.312523 + 0.152562i
\(207\) −7253.68 + 21624.6i −0.169285 + 0.504669i
\(208\) 1942.13 7743.46i 0.0448902 0.178982i
\(209\) −2023.35 + 3504.54i −0.0463210 + 0.0802303i
\(210\) 83074.0 + 58801.5i 1.88376 + 1.33337i
\(211\) −63309.8 + 36552.0i −1.42202 + 0.821005i −0.996472 0.0839298i \(-0.973253\pi\)
−0.425551 + 0.904935i \(0.639920\pi\)
\(212\) 27905.0 68928.9i 0.620883 1.53366i
\(213\) 50265.5 19022.1i 1.10793 0.419276i
\(214\) 45579.6 30720.7i 0.995275 0.670817i
\(215\) 35922.8i 0.777129i
\(216\) −44876.6 12762.2i −0.961861 0.273538i
\(217\) −16820.4 −0.357205
\(218\) −41828.2 62059.5i −0.880149 1.30586i
\(219\) −13822.2 36524.7i −0.288196 0.761549i
\(220\) −50986.5 20641.2i −1.05344 0.426472i
\(221\) 838.891 + 1453.00i 0.0171760 + 0.0297496i
\(222\) 21142.0 29869.2i 0.428984 0.606063i
\(223\) 65737.1 + 37953.3i 1.32191 + 0.763203i 0.984032 0.177989i \(-0.0569591\pi\)
0.337873 + 0.941192i \(0.390292\pi\)
\(224\) 39936.4 47426.3i 0.795927 0.945200i
\(225\) −25022.0 123465.i −0.494261 2.43881i
\(226\) 17549.1 35949.3i 0.343589 0.703839i
\(227\) 35712.5 + 20618.6i 0.693057 + 0.400136i 0.804756 0.593606i \(-0.202296\pi\)
−0.111700 + 0.993742i \(0.535629\pi\)
\(228\) −181.162 + 7912.44i −0.00348496 + 0.152209i
\(229\) −13792.1 23888.7i −0.263003 0.455534i 0.704036 0.710165i \(-0.251379\pi\)
−0.967038 + 0.254630i \(0.918046\pi\)
\(230\) 3650.43 + 52466.3i 0.0690063 + 0.991801i
\(231\) −25397.2 + 31060.6i −0.475950 + 0.582084i
\(232\) 8872.66 27210.4i 0.164846 0.505544i
\(233\) 49430.2 0.910502 0.455251 0.890363i \(-0.349550\pi\)
0.455251 + 0.890363i \(0.349550\pi\)
\(234\) 2689.38 + 9739.36i 0.0491157 + 0.177868i
\(235\) 128042.i 2.31855i
\(236\) 672.355 + 4808.36i 0.0120719 + 0.0863323i
\(237\) 5515.62 33786.6i 0.0981968 0.601517i
\(238\) 904.420 + 12998.9i 0.0159667 + 0.229484i
\(239\) −97042.8 + 56027.7i −1.69890 + 0.980859i −0.752091 + 0.659060i \(0.770955\pi\)
−0.946808 + 0.321800i \(0.895712\pi\)
\(240\) −106857. + 12455.4i −1.85516 + 0.216240i
\(241\) −20548.3 + 35590.7i −0.353787 + 0.612776i −0.986910 0.161275i \(-0.948439\pi\)
0.633123 + 0.774051i \(0.281773\pi\)
\(242\) −16178.7 + 33142.0i −0.276257 + 0.565910i
\(243\) 57383.2 13926.6i 0.971790 0.235848i
\(244\) −9412.18 12064.4i −0.158092 0.202640i
\(245\) 29535.6 51157.1i 0.492054 0.852263i
\(246\) −67833.0 6282.70i −1.12091 0.103819i
\(247\) 1484.34 856.986i 0.0243299 0.0140469i
\(248\) 13225.0 11882.9i 0.215027 0.193205i
\(249\) −4572.08 + 28006.9i −0.0737421 + 0.451716i
\(250\) −97106.5 144075.i −1.55370 2.30519i
\(251\) 50848.1i 0.807099i 0.914958 + 0.403550i \(0.132224\pi\)
−0.914958 + 0.403550i \(0.867776\pi\)
\(252\) −14412.3 + 77135.7i −0.226950 + 1.21466i
\(253\) −20732.7 −0.323902
\(254\) 62636.4 42217.0i 0.970865 0.654365i
\(255\) 14311.7 17503.1i 0.220095 0.269175i
\(256\) 2104.60 + 65502.2i 0.0321137 + 0.999484i
\(257\) −6405.02 11093.8i −0.0969738 0.167964i 0.813457 0.581625i \(-0.197583\pi\)
−0.910431 + 0.413662i \(0.864250\pi\)
\(258\) 25160.5 11577.0i 0.377990 0.173923i
\(259\) −53302.2 30774.1i −0.794595 0.458760i
\(260\) 14330.8 + 18368.9i 0.211994 + 0.271730i
\(261\) 7194.80 + 35501.0i 0.105618 + 0.521147i
\(262\) −106675. 52075.1i −1.55404 0.758625i
\(263\) −27445.5 15845.6i −0.396789 0.229086i 0.288309 0.957537i \(-0.406907\pi\)
−0.685097 + 0.728452i \(0.740240\pi\)
\(264\) −1974.41 42363.3i −0.0283289 0.607830i
\(265\) 108508. + 187941.i 1.54514 + 2.67627i
\(266\) 13279.3 923.929i 0.187677 0.0130580i
\(267\) −22719.9 60036.8i −0.318702 0.842161i
\(268\) 15379.1 + 109984.i 0.214121 + 1.53129i
\(269\) −54892.9 −0.758598 −0.379299 0.925274i \(-0.623835\pi\)
−0.379299 + 0.925274i \(0.623835\pi\)
\(270\) 109923. 80348.0i 1.50785 1.10217i
\(271\) 106332.i 1.44785i −0.689877 0.723927i \(-0.742335\pi\)
0.689877 0.723927i \(-0.257665\pi\)
\(272\) −9894.23 9581.43i −0.133735 0.129507i
\(273\) 15893.6 6014.68i 0.213254 0.0807026i
\(274\) 66501.5 4626.96i 0.885789 0.0616303i
\(275\) 99167.4 57254.3i 1.31130 0.757082i
\(276\) −35571.2 + 19465.3i −0.466961 + 0.255531i
\(277\) 25166.6 43589.8i 0.327993 0.568100i −0.654121 0.756390i \(-0.726961\pi\)
0.982113 + 0.188290i \(0.0602945\pi\)
\(278\) 14718.0 + 7184.78i 0.190440 + 0.0929660i
\(279\) −7156.12 + 21333.7i −0.0919326 + 0.274068i
\(280\) 37434.5 + 177025.i 0.477481 + 2.25797i
\(281\) 3048.20 5279.64i 0.0386039 0.0668640i −0.846078 0.533059i \(-0.821042\pi\)
0.884682 + 0.466195i \(0.154376\pi\)
\(282\) −89681.0 + 41264.5i −1.12772 + 0.518894i
\(283\) 44494.8 25689.1i 0.555567 0.320757i −0.195797 0.980644i \(-0.562729\pi\)
0.751364 + 0.659888i \(0.229396\pi\)
\(284\) 88563.4 + 35853.7i 1.09804 + 0.444527i
\(285\) −17880.7 14620.4i −0.220138 0.179999i
\(286\) −7615.83 + 5133.08i −0.0931076 + 0.0627547i
\(287\) 114576.i 1.39101i
\(288\) −43161.3 70829.5i −0.520366 0.853943i
\(289\) −80626.4 −0.965343
\(290\) 46681.7 + 69260.5i 0.555074 + 0.823550i
\(291\) 17416.7 + 2843.26i 0.205675 + 0.0335761i
\(292\) 26052.6 64353.3i 0.305552 0.754753i
\(293\) −45640.7 79051.9i −0.531639 0.920825i −0.999318 0.0369270i \(-0.988243\pi\)
0.467679 0.883898i \(-0.345090\pi\)
\(294\) 45349.2 + 4200.25i 0.524657 + 0.0485938i
\(295\) −12270.6 7084.43i −0.141001 0.0814068i
\(296\) 63649.3 13459.6i 0.726457 0.153620i
\(297\) 28589.8 + 45426.3i 0.324115 + 0.514985i
\(298\) 10298.9 21097.1i 0.115973 0.237570i
\(299\) 7604.82 + 4390.65i 0.0850642 + 0.0491118i
\(300\) 116388. 191337.i 1.29320 2.12597i
\(301\) −23291.0 40341.3i −0.257073 0.445263i
\(302\) 9209.03 + 132358.i 0.100972 + 1.45123i
\(303\) 68393.9 + 11165.2i 0.744958 + 0.121614i
\(304\) −9788.11 + 10107.7i −0.105914 + 0.109371i
\(305\) 44654.9 0.480031
\(306\) 16871.6 + 4383.18i 0.180182 + 0.0468109i
\(307\) 108180.i 1.14781i −0.818923 0.573904i \(-0.805428\pi\)
0.818923 0.573904i \(-0.194572\pi\)
\(308\) −70640.8 + 9877.73i −0.744654 + 0.104125i
\(309\) −25706.3 21019.1i −0.269229 0.220139i
\(310\) 3601.33 + 51760.6i 0.0374749 + 0.538612i
\(311\) 86673.2 50040.8i 0.896116 0.517373i 0.0201778 0.999796i \(-0.493577\pi\)
0.875938 + 0.482424i \(0.160243\pi\)
\(312\) −8247.25 + 15957.2i −0.0847227 + 0.163926i
\(313\) 75895.3 131455.i 0.774687 1.34180i −0.160283 0.987071i \(-0.551241\pi\)
0.934970 0.354726i \(-0.115426\pi\)
\(314\) −38917.4 + 79722.0i −0.394716 + 0.808572i
\(315\) −151612. 171627.i −1.52796 1.72968i
\(316\) 47984.5 37435.8i 0.480537 0.374898i
\(317\) −56202.0 + 97344.7i −0.559285 + 0.968710i 0.438271 + 0.898843i \(0.355591\pi\)
−0.997556 + 0.0698672i \(0.977742\pi\)
\(318\) −96665.5 + 136568.i −0.955910 + 1.35050i
\(319\) −28514.5 + 16462.9i −0.280211 + 0.161780i
\(320\) −154493. 112740.i −1.50872 1.10098i
\(321\) −115668. + 43772.7i −1.12254 + 0.424808i
\(322\) 38116.7 + 56552.8i 0.367624 + 0.545434i
\(323\) 2957.02i 0.0283433i
\(324\) 91701.4 + 51096.2i 0.873546 + 0.486742i
\(325\) −48500.0 −0.459172
\(326\) 103832. 69983.3i 0.977008 0.658505i
\(327\) 59599.2 + 157489.i 0.557372 + 1.47284i
\(328\) −80943.1 90085.6i −0.752371 0.837351i
\(329\) 83017.6 + 143791.i 0.766970 + 1.32843i
\(330\) 101019. + 71503.2i 0.927629 + 0.656595i
\(331\) 99528.9 + 57463.0i 0.908433 + 0.524484i 0.879927 0.475109i \(-0.157592\pi\)
0.0285065 + 0.999594i \(0.490925\pi\)
\(332\) −39776.0 + 31031.8i −0.360865 + 0.281534i
\(333\) −61708.5 + 54511.8i −0.556488 + 0.491589i
\(334\) 93604.0 + 45694.1i 0.839076 + 0.409607i
\(335\) −280670. 162045.i −2.50096 1.44393i
\(336\) −111925. + 83270.0i −0.991401 + 0.737581i
\(337\) −61646.2 106774.i −0.542808 0.940171i −0.998741 0.0501573i \(-0.984028\pi\)
0.455933 0.890014i \(-0.349306\pi\)
\(338\) −110088. + 7659.55i −0.963621 + 0.0670456i
\(339\) −56975.6 + 69680.8i −0.495780 + 0.606336i
\(340\) 39807.2 5566.25i 0.344353 0.0481509i
\(341\) −20453.8 −0.175900
\(342\) 4477.73 17235.5i 0.0382830 0.147357i
\(343\) 68777.2i 0.584597i
\(344\) 46811.9 + 15264.2i 0.395584 + 0.128990i
\(345\) 19065.6 116789.i 0.160181 0.981210i
\(346\) 62492.0 4347.99i 0.522002 0.0363192i
\(347\) 82843.4 47829.7i 0.688017 0.397227i −0.114852 0.993383i \(-0.536639\pi\)
0.802869 + 0.596156i \(0.203306\pi\)
\(348\) −33466.1 + 55017.0i −0.276342 + 0.454295i
\(349\) −21543.6 + 37314.5i −0.176875 + 0.306357i −0.940809 0.338938i \(-0.889932\pi\)
0.763934 + 0.645295i \(0.223266\pi\)
\(350\) −338491. 165239.i −2.76319 1.34889i
\(351\) −866.734 22717.2i −0.00703512 0.184391i
\(352\) 48563.1 57670.9i 0.391941 0.465448i
\(353\) 56436.9 97751.7i 0.452912 0.784467i −0.545653 0.838011i \(-0.683718\pi\)
0.998565 + 0.0535440i \(0.0170517\pi\)
\(354\) 1007.48 10877.5i 0.00803949 0.0868007i
\(355\) −241476. + 139416.i −1.91610 + 1.10626i
\(356\) 42823.5 105780.i 0.337895 0.834645i
\(357\) 4723.63 28935.2i 0.0370629 0.227033i
\(358\) −122185. + 82352.8i −0.953348 + 0.642558i
\(359\) 223134.i 1.73132i −0.500632 0.865660i \(-0.666899\pi\)
0.500632 0.865660i \(-0.333101\pi\)
\(360\) 240451. + 27835.0i 1.85533 + 0.214776i
\(361\) 127300. 0.976820
\(362\) −127343. 188936.i −0.971758 1.44177i
\(363\) 52526.3 64239.4i 0.398624 0.487515i
\(364\) 28003.2 + 11336.7i 0.211351 + 0.0855628i
\(365\) 101305. + 175465.i 0.760404 + 1.31706i
\(366\) 14391.1 + 31276.5i 0.107432 + 0.233483i
\(367\) 92257.6 + 53265.0i 0.684968 + 0.395466i 0.801724 0.597694i \(-0.203916\pi\)
−0.116756 + 0.993161i \(0.537250\pi\)
\(368\) −69921.2 17536.9i −0.516313 0.129496i
\(369\) 145320. + 48745.7i 1.06727 + 0.358000i
\(370\) −83287.1 + 170613.i −0.608379 + 1.24626i
\(371\) 243708. + 140705.i 1.77061 + 1.02226i
\(372\) −35092.8 + 19203.5i −0.253590 + 0.138770i
\(373\) −71440.5 123739.i −0.513484 0.889380i −0.999878 0.0156403i \(-0.995021\pi\)
0.486394 0.873740i \(-0.338312\pi\)
\(374\) 1099.78 + 15806.8i 0.00786256 + 0.113006i
\(375\) 138363. + 365620.i 0.983914 + 2.59997i
\(376\) −166854. 54407.1i −1.18022 0.384840i
\(377\) 13945.7 0.0981197
\(378\) 71348.1 161501.i 0.499343 1.13029i
\(379\) 95242.7i 0.663061i −0.943445 0.331530i \(-0.892435\pi\)
0.943445 0.331530i \(-0.107565\pi\)
\(380\) −5686.32 40665.8i −0.0393789 0.281619i
\(381\) −158953. + 60153.2i −1.09501 + 0.414390i
\(382\) −10847.7 155910.i −0.0743381 1.06843i
\(383\) −46899.6 + 27077.5i −0.319721 + 0.184591i −0.651268 0.758848i \(-0.725763\pi\)
0.331547 + 0.943439i \(0.392429\pi\)
\(384\) 29174.6 144541.i 0.197853 0.980232i
\(385\) 104079. 180270.i 0.702169 1.21619i
\(386\) −7110.07 + 14564.9i −0.0477199 + 0.0977538i
\(387\) −61074.8 + 12377.7i −0.407793 + 0.0826451i
\(388\) 19297.9 + 24735.7i 0.128188 + 0.164309i
\(389\) −6513.23 + 11281.2i −0.0430425 + 0.0745518i −0.886744 0.462261i \(-0.847038\pi\)
0.843702 + 0.536813i \(0.180372\pi\)
\(390\) −21911.6 47620.9i −0.144060 0.313089i
\(391\) 13120.2 7574.94i 0.0858196 0.0495480i
\(392\) 54113.9 + 60226.0i 0.352157 + 0.391933i
\(393\) 206770. + 169069.i 1.33876 + 1.09466i
\(394\) 100311. + 148829.i 0.646185 + 0.958730i
\(395\) 177609.i 1.13834i
\(396\) −17525.5 + 93797.8i −0.111758 + 0.598139i
\(397\) 54407.2 0.345204 0.172602 0.984992i \(-0.444783\pi\)
0.172602 + 0.984992i \(0.444783\pi\)
\(398\) −186599. + 125768.i −1.17800 + 0.793972i
\(399\) −29559.3 4825.53i −0.185673 0.0303109i
\(400\) 382872. 109210.i 2.39295 0.682560i
\(401\) −25211.2 43667.1i −0.156785 0.271560i 0.776922 0.629596i \(-0.216780\pi\)
−0.933708 + 0.358036i \(0.883446\pi\)
\(402\) 23044.4 248806.i 0.142598 1.53960i
\(403\) 7502.54 + 4331.59i 0.0461953 + 0.0266709i
\(404\) 75781.0 + 97134.7i 0.464299 + 0.595130i
\(405\) −282181. + 119275.i −1.72035 + 0.727175i
\(406\) 97329.6 + 47512.8i 0.590463 + 0.288243i
\(407\) −64816.0 37421.6i −0.391285 0.225909i
\(408\) 16727.4 + 26087.3i 0.100487 + 0.156714i
\(409\) −20416.9 35363.2i −0.122052 0.211400i 0.798525 0.601962i \(-0.205614\pi\)
−0.920577 + 0.390562i \(0.872281\pi\)
\(410\) 352580. 24531.4i 2.09744 0.145933i
\(411\) −148031. 24165.8i −0.876331 0.143060i
\(412\) −8174.97 58463.5i −0.0481606 0.344422i
\(413\) −18373.2 −0.107717
\(414\) 87943.6 24284.3i 0.513102 0.141685i
\(415\) 147226.i 0.854850i
\(416\) −30026.4 + 10869.5i −0.173507 + 0.0628091i
\(417\) −28528.0 23326.3i −0.164059 0.134145i
\(418\) 16147.7 1123.51i 0.0924186 0.00643018i
\(419\) −28866.9 + 16666.3i −0.164427 + 0.0949318i −0.579955 0.814648i \(-0.696930\pi\)
0.415529 + 0.909580i \(0.363597\pi\)
\(420\) 9318.80 407008.i 0.0528276 2.30730i
\(421\) −4180.31 + 7240.51i −0.0235855 + 0.0408512i −0.877577 0.479435i \(-0.840842\pi\)
0.853992 + 0.520287i \(0.174175\pi\)
\(422\) 262777. + 128278.i 1.47558 + 0.720324i
\(423\) 217692. 44118.5i 1.21664 0.246570i
\(424\) −291017. + 61539.7i −1.61877 + 0.342313i
\(425\) −41837.2 + 72464.1i −0.231625 + 0.401186i
\(426\) −175469. 124201.i −0.966901 0.684393i
\(427\) 50147.4 28952.6i 0.275038 0.158793i
\(428\) −203797. 82504.6i −1.11253 0.450392i
\(429\) 19326.8 7313.91i 0.105014 0.0397407i
\(430\) −119153. + 80309.6i −0.644421 + 0.434341i
\(431\) 88445.3i 0.476124i 0.971250 + 0.238062i \(0.0765122\pi\)
−0.971250 + 0.238062i \(0.923488\pi\)
\(432\) 57995.5 + 177384.i 0.310761 + 0.950488i
\(433\) 119092. 0.635195 0.317598 0.948226i \(-0.397124\pi\)
0.317598 + 0.948226i \(0.397124\pi\)
\(434\) 37604.0 + 55792.2i 0.199643 + 0.296206i
\(435\) −66514.8 175763.i −0.351512 0.928860i
\(436\) −112335. + 277482.i −0.590939 + 1.45970i
\(437\) −7738.34 13403.2i −0.0405214 0.0701852i
\(438\) −90248.7 + 127502.i −0.470428 + 0.664614i
\(439\) −103483. 59746.2i −0.536960 0.310014i 0.206886 0.978365i \(-0.433667\pi\)
−0.743846 + 0.668351i \(0.767000\pi\)
\(440\) 45520.7 + 215264.i 0.235128 + 1.11190i
\(441\) −97152.5 32588.5i −0.499547 0.167567i
\(442\) 2944.07 6030.90i 0.0150696 0.0308700i
\(443\) 176414. + 101853.i 0.898930 + 0.518998i 0.876853 0.480759i \(-0.159639\pi\)
0.0220772 + 0.999756i \(0.492972\pi\)
\(444\) −146340. 3350.57i −0.742328 0.0169962i
\(445\) 166518. + 288418.i 0.840894 + 1.45647i
\(446\) −21074.4 302894.i −0.105946 1.52272i
\(447\) −33436.6 + 40892.8i −0.167343 + 0.204659i
\(448\) −246592. 26439.2i −1.22864 0.131732i
\(449\) 77156.2 0.382717 0.191359 0.981520i \(-0.438711\pi\)
0.191359 + 0.981520i \(0.438711\pi\)
\(450\) −353585. + 359016.i −1.74610 + 1.77292i
\(451\) 139326.i 0.684982i
\(452\) −158474. + 22159.5i −0.775679 + 0.108463i
\(453\) 48097.2 294625.i 0.234382 1.43573i
\(454\) −11448.9 164551.i −0.0555461 0.798343i
\(455\) −76353.2 + 44082.6i −0.368812 + 0.212934i
\(456\) 26650.0 17088.3i 0.128164 0.0821804i
\(457\) −140420. + 243215.i −0.672353 + 1.16455i 0.304882 + 0.952390i \(0.401383\pi\)
−0.977235 + 0.212159i \(0.931951\pi\)
\(458\) −48403.1 + 99153.4i −0.230750 + 0.472690i
\(459\) −34689.5 18301.3i −0.164654 0.0868675i
\(460\) 165866. 129403.i 0.783866 0.611544i
\(461\) 200811. 347814.i 0.944898 1.63661i 0.188942 0.981988i \(-0.439494\pi\)
0.755956 0.654623i \(-0.227173\pi\)
\(462\) 159804. + 14801.1i 0.748694 + 0.0693441i
\(463\) −51806.1 + 29910.3i −0.241668 + 0.139527i −0.615943 0.787791i \(-0.711225\pi\)
0.374275 + 0.927318i \(0.377892\pi\)
\(464\) −110091. + 31402.1i −0.511347 + 0.145855i
\(465\) 18809.2 115218.i 0.0869888 0.532861i
\(466\) −110507. 163957.i −0.508883 0.755018i
\(467\) 208473.i 0.955909i −0.878385 0.477955i \(-0.841378\pi\)
0.878385 0.477955i \(-0.158622\pi\)
\(468\) 26292.4 30694.0i 0.120043 0.140140i
\(469\) −420257. −1.91060
\(470\) 424705. 286252.i 1.92261 1.29584i
\(471\) 126350. 154526.i 0.569554 0.696562i
\(472\) 14445.9 12979.8i 0.0648425 0.0582619i
\(473\) −28322.1 49055.4i −0.126591 0.219263i
\(474\) −124399. + 57238.9i −0.553680 + 0.254762i
\(475\) 74027.3 + 42739.7i 0.328099 + 0.189428i
\(476\) 41094.5 32060.4i 0.181372 0.141500i
\(477\) 282143. 249239.i 1.24003 1.09541i
\(478\) 402790. + 196628.i 1.76288 + 0.860575i
\(479\) −138667. 80059.3i −0.604368 0.348932i 0.166390 0.986060i \(-0.446789\pi\)
−0.770758 + 0.637128i \(0.780122\pi\)
\(480\) 280206. + 326593.i 1.21617 + 1.41750i
\(481\) 15849.9 + 27452.8i 0.0685070 + 0.118658i
\(482\) 163990. 11409.9i 0.705867 0.0491119i
\(483\) −54310.8 143515.i −0.232805 0.615181i
\(484\) 146099. 20429.1i 0.623672 0.0872083i
\(485\) −91556.4 −0.389229
\(486\) −174480. 159202.i −0.738710 0.674023i
\(487\) 371960.i 1.56834i −0.620549 0.784168i \(-0.713090\pi\)
0.620549 0.784168i \(-0.286910\pi\)
\(488\) −18974.6 + 58190.8i −0.0796771 + 0.244351i
\(489\) −263497. + 99716.2i −1.10194 + 0.417011i
\(490\) −235715. + 16400.2i −0.981735 + 0.0683059i
\(491\) −57863.4 + 33407.4i −0.240016 + 0.138574i −0.615184 0.788383i \(-0.710918\pi\)
0.375168 + 0.926957i \(0.377585\pi\)
\(492\) 130809. + 239043.i 0.540392 + 0.987520i
\(493\) 12029.8 20836.3i 0.0494955 0.0857288i
\(494\) −6160.99 3007.57i −0.0252462 0.0123243i
\(495\) −184361. 208700.i −0.752418 0.851752i
\(496\) −68980.8 17301.0i −0.280391 0.0703246i
\(497\) −180785. + 313129.i −0.731896 + 1.26768i
\(498\) 103118. 47447.3i 0.415792 0.191317i
\(499\) −288151. + 166364.i −1.15723 + 0.668127i −0.950638 0.310301i \(-0.899570\pi\)
−0.206591 + 0.978427i \(0.566237\pi\)
\(500\) −260792. + 644191.i −1.04317 + 2.57676i
\(501\) −181434. 148352.i −0.722840 0.591041i
\(502\) 168659. 113677.i 0.669273 0.451091i
\(503\) 12673.0i 0.0500892i −0.999686 0.0250446i \(-0.992027\pi\)
0.999686 0.0250446i \(-0.00797278\pi\)
\(504\) 288074. 124641.i 1.13408 0.490683i
\(505\) −359533. −1.40980
\(506\) 46350.3 + 68768.8i 0.181030 + 0.268590i
\(507\) 245053. + 40004.6i 0.953331 + 0.155630i
\(508\) −280062. 113379.i −1.08524 0.439346i
\(509\) 19452.7 + 33693.0i 0.0750834 + 0.130048i 0.901123 0.433564i \(-0.142744\pi\)
−0.826039 + 0.563613i \(0.809411\pi\)
\(510\) −90052.1 8340.63i −0.346221 0.0320670i
\(511\) 227530. + 131365.i 0.871360 + 0.503080i
\(512\) 212561. 153419.i 0.810856 0.585245i
\(513\) −18696.1 + 35437.8i −0.0710422 + 0.134658i
\(514\) −22478.3 + 46046.5i −0.0850817 + 0.174289i
\(515\) 149195. + 86137.5i 0.562521 + 0.324772i
\(516\) −94649.3 57573.9i −0.355482 0.216235i
\(517\) 100950. + 174851.i 0.377682 + 0.654164i
\(518\) 17087.9 + 245599.i 0.0636840 + 0.915306i
\(519\) −139105. 22708.8i −0.516428 0.0843062i
\(520\) 28890.3 88600.0i 0.106843 0.327663i
\(521\) 28001.3 0.103158 0.0515790 0.998669i \(-0.483575\pi\)
0.0515790 + 0.998669i \(0.483575\pi\)
\(522\) 101670. 103231.i 0.373122 0.378853i
\(523\) 306435.i 1.12030i 0.828391 + 0.560151i \(0.189257\pi\)
−0.828391 + 0.560151i \(0.810743\pi\)
\(524\) 65755.8 + 470255.i 0.239481 + 1.71266i
\(525\) 656101. + 536471.i 2.38041 + 1.94638i
\(526\) 8798.63 + 126459.i 0.0318012 + 0.457067i
\(527\) 12943.7 7473.06i 0.0466056 0.0269077i
\(528\) −136102. + 101257.i −0.488199 + 0.363210i
\(529\) −100274. + 173680.i −0.358326 + 0.620638i
\(530\) 380805. 780076.i 1.35566 2.77706i
\(531\) −7816.72 + 23303.1i −0.0277227 + 0.0826465i
\(532\) −32752.0 41980.9i −0.115722 0.148330i
\(533\) 29505.7 51105.4i 0.103861 0.179892i
\(534\) −148345. + 209580.i −0.520223 + 0.734965i
\(535\) 555671. 320817.i 1.94138 1.12086i
\(536\) 330426. 296893.i 1.15013 1.03340i
\(537\) 310070. 117341.i 1.07526 0.406913i
\(538\) 122719. + 182076.i 0.423983 + 0.629054i
\(539\) 93145.3i 0.320615i
\(540\) −512253. 184978.i −1.75670 0.634355i
\(541\) 387269. 1.32318 0.661590 0.749866i \(-0.269882\pi\)
0.661590 + 0.749866i \(0.269882\pi\)
\(542\) −352695. + 237717.i −1.20061 + 0.809211i
\(543\) 181446. + 479465.i 0.615385 + 1.62614i
\(544\) −9661.23 + 54238.9i −0.0326464 + 0.183279i
\(545\) −436812. 756581.i −1.47062 2.54720i
\(546\) −55482.3 39271.5i −0.186110 0.131732i
\(547\) −220183. 127123.i −0.735883 0.424862i 0.0846877 0.996408i \(-0.473011\pi\)
−0.820570 + 0.571545i \(0.806344\pi\)
\(548\) −164019. 210237.i −0.546177 0.700080i
\(549\) −15386.4 75920.7i −0.0510497 0.251893i
\(550\) −411609. 200933.i −1.36069 0.664240i
\(551\) −21285.8 12289.3i −0.0701109 0.0404786i
\(552\) 144089. + 74470.3i 0.472881 + 0.244402i
\(553\) 115156. + 199455.i 0.376560 + 0.652221i
\(554\) −200847. + 13974.3i −0.654404 + 0.0455312i
\(555\) 270403. 330701.i 0.877859 1.07362i
\(556\) −9072.31 64880.9i −0.0293473 0.209878i
\(557\) −154243. −0.497159 −0.248580 0.968611i \(-0.579964\pi\)
−0.248580 + 0.968611i \(0.579964\pi\)
\(558\) 86760.8 23957.7i 0.278648 0.0769443i
\(559\) 23991.6i 0.0767779i
\(560\) 503491. 519928.i 1.60552 1.65793i
\(561\) 5743.98 35185.5i 0.0182510 0.111799i
\(562\) −24326.8 + 1692.58i −0.0770216 + 0.00535891i
\(563\) −188653. + 108919.i −0.595177 + 0.343626i −0.767142 0.641477i \(-0.778322\pi\)
0.171965 + 0.985103i \(0.444988\pi\)
\(564\) 337364. + 205214.i 1.06057 + 0.645133i
\(565\) 233489. 404415.i 0.731425 1.26686i
\(566\) −184682. 90155.2i −0.576490 0.281422i
\(567\) −239555. + 316901.i −0.745143 + 0.985730i
\(568\) −79069.4 373914.i −0.245082 1.15898i
\(569\) −112165. + 194275.i −0.346443 + 0.600057i −0.985615 0.169007i \(-0.945944\pi\)
0.639172 + 0.769064i \(0.279277\pi\)
\(570\) −8520.54 + 91994.6i −0.0262251 + 0.283147i
\(571\) −227168. + 131156.i −0.696748 + 0.402268i −0.806135 0.591732i \(-0.798445\pi\)
0.109387 + 0.993999i \(0.465111\pi\)
\(572\) 34052.2 + 13785.6i 0.104076 + 0.0421340i
\(573\) −56655.8 + 347052.i −0.172558 + 1.05702i
\(574\) 380042. 256149.i 1.15347 0.777443i
\(575\) 437941.i 1.32458i
\(576\) −138444. + 301510.i −0.417282 + 0.908777i
\(577\) 450994. 1.35462 0.677312 0.735696i \(-0.263145\pi\)
0.677312 + 0.735696i \(0.263145\pi\)
\(578\) 180250. + 267432.i 0.539534 + 0.800494i
\(579\) 23083.8 28231.3i 0.0688573 0.0842121i
\(580\) 125370. 309680.i 0.372681 0.920570i
\(581\) −95456.3 165335.i −0.282782 0.489794i
\(582\) −29506.2 64126.5i −0.0871100 0.189318i
\(583\) 296351. + 171099.i 0.871907 + 0.503396i
\(584\) −271699. + 57454.6i −0.796640 + 0.168461i
\(585\) 23427.0 + 115595.i 0.0684550 + 0.337775i
\(586\) −160175. + 328117.i −0.466443 + 0.955505i
\(587\) −307738. 177673.i −0.893111 0.515638i −0.0181523 0.999835i \(-0.505778\pi\)
−0.874959 + 0.484197i \(0.839112\pi\)
\(588\) −87451.6 159810.i −0.252937 0.462222i
\(589\) −7634.26 13222.9i −0.0220058 0.0381151i
\(590\) 3933.78 + 56538.8i 0.0113007 + 0.162421i
\(591\) −142929. 377686.i −0.409210 1.08133i
\(592\) −186940. 181030.i −0.533406 0.516543i
\(593\) 89819.5 0.255424 0.127712 0.991811i \(-0.459237\pi\)
0.127712 + 0.991811i \(0.459237\pi\)
\(594\) 86760.0 196386.i 0.245893 0.556594i
\(595\) 152106.i 0.429649i
\(596\) −93002.0 + 13004.5i −0.261818 + 0.0366101i
\(597\) 473536. 179202.i 1.32863 0.502799i
\(598\) −2438.00 35040.5i −0.00681759 0.0979868i
\(599\) −357687. + 206511.i −0.996896 + 0.575558i −0.907328 0.420422i \(-0.861882\pi\)
−0.0895677 + 0.995981i \(0.528549\pi\)
\(600\) −894851. + 41706.0i −2.48570 + 0.115850i
\(601\) −129317. + 223984.i −0.358020 + 0.620110i −0.987630 0.156802i \(-0.949882\pi\)
0.629610 + 0.776912i \(0.283215\pi\)
\(602\) −81739.3 + 167442.i −0.225548 + 0.462032i
\(603\) −178795. + 533021.i −0.491723 + 1.46592i
\(604\) 418434. 326447.i 1.14697 0.894828i
\(605\) −215256. + 372834.i −0.588090 + 1.01860i
\(606\) −115868. 251819.i −0.315514 0.685714i
\(607\) 267430. 154401.i 0.725825 0.419055i −0.0910678 0.995845i \(-0.529028\pi\)
0.816893 + 0.576789i \(0.195695\pi\)
\(608\) 55408.8 + 9869.63i 0.149890 + 0.0266989i
\(609\) −188655. 154256.i −0.508667 0.415919i
\(610\) −99831.1 148117.i −0.268291 0.398057i
\(611\) 85514.7i 0.229065i
\(612\) −23179.6 65760.9i −0.0618876 0.175576i
\(613\) −464349. −1.23573 −0.617865 0.786284i \(-0.712002\pi\)
−0.617865 + 0.786284i \(0.712002\pi\)
\(614\) −358825. + 241848.i −0.951800 + 0.641515i
\(615\) −784834. 128123.i −2.07505 0.338749i
\(616\) 190689. + 212228.i 0.502534 + 0.559295i
\(617\) 253688. + 439401.i 0.666392 + 1.15423i 0.978906 + 0.204312i \(0.0654958\pi\)
−0.312513 + 0.949913i \(0.601171\pi\)
\(618\) −12249.6 + 132257.i −0.0320734 + 0.346290i
\(619\) 244884. + 141384.i 0.639115 + 0.368993i 0.784273 0.620415i \(-0.213036\pi\)
−0.145159 + 0.989408i \(0.546369\pi\)
\(620\) 163635. 127662.i 0.425690 0.332108i
\(621\) −205129. + 7826.35i −0.531918 + 0.0202944i
\(622\) −359750. 175617.i −0.929865 0.453927i
\(623\) 373999. + 215929.i 0.963595 + 0.556332i
\(624\) 71366.5 8318.57i 0.183284 0.0213638i
\(625\) −528069. 914643.i −1.35186 2.34149i
\(626\) −605698. + 42142.5i −1.54564 + 0.107540i
\(627\) −35944.4 5867.89i −0.0914317 0.0149261i
\(628\) 351437. 49141.5i 0.891103 0.124603i
\(629\) 54689.8 0.138231
\(630\) −230330. + 886578.i −0.580323 + 2.23376i
\(631\) 403620.i 1.01371i 0.862031 + 0.506855i \(0.169192\pi\)
−0.862031 + 0.506855i \(0.830808\pi\)
\(632\) −231447. 75469.2i −0.579452 0.188945i
\(633\) −509343. 416472.i −1.27117 1.03939i
\(634\) 448531. 31207.3i 1.11587 0.0776387i
\(635\) 763614. 440873.i 1.89377 1.09337i
\(636\) 669093. + 15319.4i 1.65414 + 0.0378729i
\(637\) −19725.8 + 34166.1i −0.0486134 + 0.0842008i
\(638\) 118354. + 57776.0i 0.290764 + 0.141940i
\(639\) 320235. + 362512.i 0.784272 + 0.887811i
\(640\) −28563.4 + 764487.i −0.0697350 + 1.86642i
\(641\) 181028. 313549.i 0.440584 0.763114i −0.557149 0.830413i \(-0.688105\pi\)
0.997733 + 0.0672990i \(0.0214381\pi\)
\(642\) 403780. + 285804.i 0.979659 + 0.693423i
\(643\) 346651. 200139.i 0.838437 0.484072i −0.0182957 0.999833i \(-0.505824\pi\)
0.856733 + 0.515761i \(0.172491\pi\)
\(644\) 102367. 252861.i 0.246825 0.609691i
\(645\) 302377. 114430.i 0.726825 0.275055i
\(646\) −9808.24 + 6610.77i −0.0235031 + 0.0158412i
\(647\) 98990.1i 0.236474i −0.992985 0.118237i \(-0.962276\pi\)
0.992985 0.118237i \(-0.0377242\pi\)
\(648\) −35526.6 418398.i −0.0846064 0.996414i
\(649\) −22341.9 −0.0530434
\(650\) 108427. + 160871.i 0.256633 + 0.380760i
\(651\) −53580.4 141585.i −0.126428 0.334083i
\(652\) −464259. 187949.i −1.09211 0.442125i
\(653\) 269165. + 466208.i 0.631237 + 1.09333i 0.987299 + 0.158872i \(0.0507859\pi\)
−0.356062 + 0.934462i \(0.615881\pi\)
\(654\) 389140. 549772.i 0.909809 1.28537i
\(655\) −1.20006e6 692852.i −2.79717 1.61495i
\(656\) −117850. + 469879.i −0.273856 + 1.09189i
\(657\) 263414. 232694.i 0.610250 0.539081i
\(658\) 291348. 596824.i 0.672915 1.37846i
\(659\) −126219. 72872.6i −0.290639 0.167801i 0.347591 0.937646i \(-0.387000\pi\)
−0.638230 + 0.769846i \(0.720333\pi\)
\(660\) 11331.7 494926.i 0.0260141 1.13619i
\(661\) 126176. + 218543.i 0.288784 + 0.500189i 0.973520 0.228603i \(-0.0734157\pi\)
−0.684736 + 0.728792i \(0.740082\pi\)
\(662\) −31907.6 458595.i −0.0728077 1.04644i
\(663\) −9558.30 + 11689.7i −0.0217447 + 0.0265936i
\(664\) 191854. + 62559.0i 0.435146 + 0.141891i
\(665\) 155388. 0.351377
\(666\) 318768. + 82815.1i 0.718665 + 0.186707i
\(667\) 125925.i 0.283049i
\(668\) −57698.5 412632.i −0.129304 0.924720i
\(669\) −110068. + 674234.i −0.245928 + 1.50646i
\(670\) 89979.0 + 1.29323e6i 0.200443 + 2.88090i
\(671\) 60979.7 35206.7i 0.135438 0.0781951i
\(672\) 526422. + 185088.i 1.16572 + 0.409865i
\(673\) −327332. + 566956.i −0.722701 + 1.25175i 0.237213 + 0.971458i \(0.423766\pi\)
−0.959913 + 0.280297i \(0.909567\pi\)
\(674\) −216346. + 443182.i −0.476243 + 0.975580i
\(675\) 959551. 603910.i 2.10601 1.32545i
\(676\) 271520. + 348030.i 0.594168 + 0.761594i
\(677\) 106756. 184907.i 0.232924 0.403437i −0.725743 0.687966i \(-0.758504\pi\)
0.958667 + 0.284529i \(0.0918372\pi\)
\(678\) 358502. + 33204.5i 0.779887 + 0.0722332i
\(679\) −102818. + 59361.8i −0.223012 + 0.128756i
\(680\) −107456. 119594.i −0.232388 0.258637i
\(681\) −59795.8 + 366287.i −0.128937 + 0.789818i
\(682\) 45726.9 + 67843.8i 0.0983111 + 0.145862i
\(683\) 885039.i 1.89724i −0.316425 0.948618i \(-0.602483\pi\)
0.316425 0.948618i \(-0.397517\pi\)
\(684\) −67179.4 + 23679.6i −0.143590 + 0.0506131i
\(685\) 778168. 1.65841
\(686\) 228129. 153759.i 0.484767 0.326733i
\(687\) 157147. 192190.i 0.332961 0.407209i
\(688\) −54023.0 189397.i −0.114131 0.400124i
\(689\) −72468.6 125519.i −0.152655 0.264406i
\(690\) −430003. + 197855.i −0.903177 + 0.415575i
\(691\) −382656. 220927.i −0.801406 0.462692i 0.0425567 0.999094i \(-0.486450\pi\)
−0.843963 + 0.536402i \(0.819783\pi\)
\(692\) −154130. 197561.i −0.321866 0.412562i
\(693\) −342351. 114837.i −0.712862 0.239120i
\(694\) −343854. 167857.i −0.713929 0.348514i
\(695\) 165571. + 95592.6i 0.342780 + 0.197904i
\(696\) 257305. 11992.1i 0.531165 0.0247558i
\(697\) −50904.6 88169.3i −0.104783 0.181490i
\(698\) 171933. 11962.5i 0.352897 0.0245534i
\(699\) 157457. + 416075.i 0.322260 + 0.851564i
\(700\) 208650. + 1.49216e6i 0.425816 + 3.04523i
\(701\) 340679. 0.693281 0.346640 0.937998i \(-0.387322\pi\)
0.346640 + 0.937998i \(0.387322\pi\)
\(702\) −73413.5 + 53661.7i −0.148971 + 0.108891i
\(703\) 55869.5i 0.113048i
\(704\) −299859. 32150.4i −0.605022 0.0648695i
\(705\) −1.07778e6 + 407868.i −2.16846 + 0.820619i
\(706\) −450407. + 31337.8i −0.903640 + 0.0628723i
\(707\) −403755. + 233108.i −0.807755 + 0.466357i
\(708\) −38332.3 + 20976.2i −0.0764713 + 0.0418467i
\(709\) 292720. 507006.i 0.582318 1.00860i −0.412886 0.910783i \(-0.635479\pi\)
0.995204 0.0978214i \(-0.0311874\pi\)
\(710\) 1.00228e6 + 489278.i 1.98826 + 0.970597i
\(711\) 301966. 61197.7i 0.597335 0.121059i
\(712\) −446600. + 94440.0i −0.880966 + 0.186293i
\(713\) 39113.0 67745.8i 0.0769383 0.133261i
\(714\) −106536. + 49020.0i −0.208978 + 0.0961561i
\(715\) −92846.3 + 53604.8i −0.181615 + 0.104856i
\(716\) 546317. + 221169.i 1.06566 + 0.431419i
\(717\) −780732. 638378.i −1.51867 1.24176i
\(718\) −740121. + 498843.i −1.43567 + 0.967642i
\(719\) 306988.i 0.593832i −0.954904 0.296916i \(-0.904042\pi\)
0.954904 0.296916i \(-0.0959581\pi\)
\(720\) −445230. 859789.i −0.858855 1.65854i
\(721\) 223394. 0.429735
\(722\) −284594. 422246.i −0.545949 0.810011i
\(723\) −365037. 59591.8i −0.698329 0.114001i
\(724\) −341996. + 844775.i −0.652446 + 1.61163i
\(725\) 347749. + 602319.i 0.661592 + 1.14591i
\(726\) −330506. 30611.5i −0.627056 0.0580780i
\(727\) 488481. + 282025.i 0.924227 + 0.533603i 0.884981 0.465627i \(-0.154171\pi\)
0.0392459 + 0.999230i \(0.487504\pi\)
\(728\) −25001.2 118229.i −0.0471736 0.223081i
\(729\) 300016. + 438657.i 0.564534 + 0.825410i
\(730\) 355526. 728293.i 0.667154 1.36666i
\(731\) 35846.0 + 20695.7i 0.0670821 + 0.0387298i
\(732\) 71569.0 117657.i 0.133568 0.219581i
\(733\) −290960. 503957.i −0.541533 0.937963i −0.998816 0.0486418i \(-0.984511\pi\)
0.457283 0.889321i \(-0.348823\pi\)
\(734\) −29576.5 425092.i −0.0548978 0.789025i
\(735\) 524694. + 85655.7i 0.971252 + 0.158556i
\(736\) 98148.4 + 271129.i 0.181187 + 0.500519i
\(737\) −511037. −0.940843
\(738\) −163194. 590993.i −0.299633 1.08510i
\(739\) 193774.i 0.354818i 0.984137 + 0.177409i \(0.0567715\pi\)
−0.984137 + 0.177409i \(0.943228\pi\)
\(740\) 752109. 105168.i 1.37346 0.192052i
\(741\) 11941.9 + 9764.48i 0.0217489 + 0.0177833i
\(742\) −78129.4 1.12292e6i −0.141908 2.03959i
\(743\) −76480.8 + 44156.2i −0.138540 + 0.0799861i −0.567668 0.823258i \(-0.692154\pi\)
0.429128 + 0.903244i \(0.358821\pi\)
\(744\) 142151. + 73468.7i 0.256805 + 0.132726i
\(745\) 137025. 237334.i 0.246881 0.427610i
\(746\) −250719. + 513595.i −0.450514 + 0.922875i
\(747\) −250310. + 50728.8i −0.448576 + 0.0909104i
\(748\) 49971.3 38985.8i 0.0893135 0.0696792i
\(749\) 416012. 720554.i 0.741553 1.28441i
\(750\) 903410. 1.27633e6i 1.60606 2.26903i
\(751\) −474180. + 273768.i −0.840743 + 0.485403i −0.857517 0.514456i \(-0.827994\pi\)
0.0167738 + 0.999859i \(0.494660\pi\)
\(752\) 192557. + 675077.i 0.340506 + 1.19376i
\(753\) −428010. + 161973.i −0.754855 + 0.285662i
\(754\) −31177.1 46256.8i −0.0548395 0.0813640i
\(755\) 1.54879e6i 2.71705i
\(756\) −695193. + 124397.i −1.21636 + 0.217653i
\(757\) −45164.0 −0.0788135 −0.0394068 0.999223i \(-0.512547\pi\)
−0.0394068 + 0.999223i \(0.512547\pi\)
\(758\) −315913. + 212926.i −0.549831 + 0.370587i
\(759\) −66042.5 174516.i −0.114641 0.302936i
\(760\) −122173. + 109774.i −0.211519 + 0.190052i
\(761\) 100185. + 173525.i 0.172995 + 0.299636i 0.939465 0.342644i \(-0.111322\pi\)
−0.766471 + 0.642279i \(0.777989\pi\)
\(762\) 554882. + 392757.i 0.955633 + 0.676416i
\(763\) −981079. 566426.i −1.68521