Properties

Label 36.5.f.a.7.4
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 7.4
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.28826 - 2.27757i) q^{2} +(-8.99820 + 0.179896i) q^{3} +(5.62536 + 14.9785i) q^{4} +(-2.83091 - 4.90328i) q^{5} +(29.9982 + 19.9025i) q^{6} +(45.1595 + 26.0728i) q^{7} +(15.6169 - 62.0654i) q^{8} +(80.9353 - 3.23749i) q^{9} +O(q^{10})\) \(q+(-3.28826 - 2.27757i) q^{2} +(-8.99820 + 0.179896i) q^{3} +(5.62536 + 14.9785i) q^{4} +(-2.83091 - 4.90328i) q^{5} +(29.9982 + 19.9025i) q^{6} +(45.1595 + 26.0728i) q^{7} +(15.6169 - 62.0654i) q^{8} +(80.9353 - 3.23749i) q^{9} +(-1.85878 + 22.5709i) q^{10} +(92.3736 + 53.3319i) q^{11} +(-53.3127 - 133.768i) q^{12} +(61.0686 + 105.774i) q^{13} +(-89.1136 - 188.588i) q^{14} +(26.3552 + 43.6114i) q^{15} +(-192.711 + 168.519i) q^{16} -122.675 q^{17} +(-273.510 - 173.690i) q^{18} +593.624i q^{19} +(57.5188 - 69.9855i) q^{20} +(-411.044 - 226.484i) q^{21} +(-182.282 - 385.757i) q^{22} +(473.649 - 273.461i) q^{23} +(-129.358 + 561.286i) q^{24} +(296.472 - 513.504i) q^{25} +(40.0976 - 486.900i) q^{26} +(-727.690 + 43.6915i) q^{27} +(-136.493 + 823.090i) q^{28} +(-367.933 + 637.279i) q^{29} +(12.6652 - 203.432i) q^{30} +(507.427 - 292.963i) q^{31} +(1017.50 - 115.223i) q^{32} +(-840.791 - 463.274i) q^{33} +(403.388 + 279.401i) q^{34} -295.239i q^{35} +(503.783 + 1194.08i) q^{36} +2289.29 q^{37} +(1352.02 - 1951.99i) q^{38} +(-568.535 - 940.788i) q^{39} +(-348.534 + 99.1276i) q^{40} +(1434.13 + 2483.99i) q^{41} +(835.788 + 1680.92i) q^{42} +(-1943.81 - 1122.26i) q^{43} +(-279.197 + 1683.63i) q^{44} +(-244.995 - 387.683i) q^{45} +(-2180.31 - 179.555i) q^{46} +(-913.531 - 527.427i) q^{47} +(1703.73 - 1551.04i) q^{48} +(159.084 + 275.542i) q^{49} +(-2144.42 + 1013.30i) q^{50} +(1103.85 - 22.0688i) q^{51} +(-1240.80 + 1509.73i) q^{52} -4752.60 q^{53} +(2492.35 + 1513.69i) q^{54} -603.911i q^{55} +(2323.47 - 2395.66i) q^{56} +(-106.791 - 5341.55i) q^{57} +(2661.31 - 1257.55i) q^{58} +(-1864.25 + 1076.32i) q^{59} +(-504.976 + 640.091i) q^{60} +(33.1660 - 57.4451i) q^{61} +(-2335.80 - 192.360i) q^{62} +(3739.40 + 1964.01i) q^{63} +(-3608.23 - 1938.53i) q^{64} +(345.759 - 598.872i) q^{65} +(1709.60 + 3438.32i) q^{66} +(3554.82 - 2052.38i) q^{67} +(-690.091 - 1837.49i) q^{68} +(-4212.79 + 2545.87i) q^{69} +(-672.427 + 970.824i) q^{70} +5031.65i q^{71} +(1063.02 - 5073.84i) q^{72} +2705.16 q^{73} +(-7527.78 - 5214.01i) q^{74} +(-2575.34 + 4673.95i) q^{75} +(-8891.60 + 3339.35i) q^{76} +(2781.03 + 4816.88i) q^{77} +(-273.215 + 4388.44i) q^{78} +(-1196.02 - 690.524i) q^{79} +(1371.84 + 467.852i) q^{80} +(6540.04 - 524.053i) q^{81} +(941.652 - 11434.4i) q^{82} +(2605.31 + 1504.18i) q^{83} +(1080.12 - 7430.88i) q^{84} +(347.282 + 601.509i) q^{85} +(3835.74 + 8117.45i) q^{86} +(3196.09 - 5800.55i) q^{87} +(4752.65 - 4900.33i) q^{88} +3186.35 q^{89} +(-77.3677 + 1832.80i) q^{90} +6368.92i q^{91} +(6760.48 + 5556.22i) q^{92} +(-4513.23 + 2727.43i) q^{93} +(1802.68 + 3814.95i) q^{94} +(2910.71 - 1680.50i) q^{95} +(-9134.91 + 1219.85i) q^{96} +(2407.03 - 4169.10i) q^{97} +(104.455 - 1268.38i) q^{98} +(7648.94 + 4017.38i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.28826 2.27757i −0.822066 0.569392i
\(3\) −8.99820 + 0.179896i −0.999800 + 0.0199885i
\(4\) 5.62536 + 14.9785i 0.351585 + 0.936156i
\(5\) −2.83091 4.90328i −0.113236 0.196131i 0.803837 0.594850i \(-0.202788\pi\)
−0.917073 + 0.398718i \(0.869455\pi\)
\(6\) 29.9982 + 19.9025i 0.833283 + 0.552847i
\(7\) 45.1595 + 26.0728i 0.921621 + 0.532098i 0.884152 0.467199i \(-0.154737\pi\)
0.0374695 + 0.999298i \(0.488070\pi\)
\(8\) 15.6169 62.0654i 0.244014 0.969772i
\(9\) 80.9353 3.23749i 0.999201 0.0399690i
\(10\) −1.85878 + 22.5709i −0.0185878 + 0.225709i
\(11\) 92.3736 + 53.3319i 0.763418 + 0.440760i 0.830522 0.556986i \(-0.188042\pi\)
−0.0671034 + 0.997746i \(0.521376\pi\)
\(12\) −53.3127 133.768i −0.370227 0.928941i
\(13\) 61.0686 + 105.774i 0.361352 + 0.625881i 0.988184 0.153274i \(-0.0489818\pi\)
−0.626831 + 0.779155i \(0.715648\pi\)
\(14\) −89.1136 188.588i −0.454661 0.962184i
\(15\) 26.3552 + 43.6114i 0.117134 + 0.193829i
\(16\) −192.711 + 168.519i −0.752776 + 0.658277i
\(17\) −122.675 −0.424481 −0.212240 0.977217i \(-0.568076\pi\)
−0.212240 + 0.977217i \(0.568076\pi\)
\(18\) −273.510 173.690i −0.844167 0.536080i
\(19\) 593.624i 1.64439i 0.569207 + 0.822194i \(0.307250\pi\)
−0.569207 + 0.822194i \(0.692750\pi\)
\(20\) 57.5188 69.9855i 0.143797 0.174964i
\(21\) −411.044 226.484i −0.932073 0.513570i
\(22\) −182.282 385.757i −0.376615 0.797018i
\(23\) 473.649 273.461i 0.895366 0.516940i 0.0196720 0.999806i \(-0.493738\pi\)
0.875694 + 0.482867i \(0.160404\pi\)
\(24\) −129.358 + 561.286i −0.224581 + 0.974456i
\(25\) 296.472 513.504i 0.474355 0.821607i
\(26\) 40.0976 486.900i 0.0593160 0.720266i
\(27\) −727.690 + 43.6915i −0.998202 + 0.0599335i
\(28\) −136.493 + 823.090i −0.174099 + 1.04986i
\(29\) −367.933 + 637.279i −0.437495 + 0.757763i −0.997496 0.0707290i \(-0.977467\pi\)
0.560001 + 0.828492i \(0.310801\pi\)
\(30\) 12.6652 203.432i 0.0140725 0.226035i
\(31\) 507.427 292.963i 0.528020 0.304853i −0.212190 0.977228i \(-0.568059\pi\)
0.740210 + 0.672376i \(0.234726\pi\)
\(32\) 1017.50 115.223i 0.993649 0.112523i
\(33\) −840.791 463.274i −0.772076 0.425412i
\(34\) 403.388 + 279.401i 0.348951 + 0.241696i
\(35\) 295.239i 0.241012i
\(36\) 503.783 + 1194.08i 0.388721 + 0.921355i
\(37\) 2289.29 1.67223 0.836117 0.548551i \(-0.184820\pi\)
0.836117 + 0.548551i \(0.184820\pi\)
\(38\) 1352.02 1951.99i 0.936302 1.35180i
\(39\) −568.535 940.788i −0.373791 0.618533i
\(40\) −348.534 + 99.1276i −0.217834 + 0.0619548i
\(41\) 1434.13 + 2483.99i 0.853142 + 1.47769i 0.878358 + 0.478004i \(0.158640\pi\)
−0.0252152 + 0.999682i \(0.508027\pi\)
\(42\) 835.788 + 1680.92i 0.473803 + 0.952904i
\(43\) −1943.81 1122.26i −1.05128 0.606955i −0.128270 0.991739i \(-0.540943\pi\)
−0.923007 + 0.384784i \(0.874276\pi\)
\(44\) −279.197 + 1683.63i −0.144213 + 0.869643i
\(45\) −244.995 387.683i −0.120985 0.191448i
\(46\) −2180.31 179.555i −1.03039 0.0848557i
\(47\) −913.531 527.427i −0.413550 0.238763i 0.278764 0.960360i \(-0.410075\pi\)
−0.692314 + 0.721597i \(0.743409\pi\)
\(48\) 1703.73 1551.04i 0.739467 0.673192i
\(49\) 159.084 + 275.542i 0.0662574 + 0.114761i
\(50\) −2144.42 + 1013.30i −0.857768 + 0.405321i
\(51\) 1103.85 22.0688i 0.424396 0.00848472i
\(52\) −1240.80 + 1509.73i −0.458876 + 0.558333i
\(53\) −4752.60 −1.69192 −0.845960 0.533246i \(-0.820972\pi\)
−0.845960 + 0.533246i \(0.820972\pi\)
\(54\) 2492.35 + 1513.69i 0.854714 + 0.519099i
\(55\) 603.911i 0.199640i
\(56\) 2323.47 2395.66i 0.740902 0.763923i
\(57\) −106.791 5341.55i −0.0328688 1.64406i
\(58\) 2661.31 1257.55i 0.791114 0.373825i
\(59\) −1864.25 + 1076.32i −0.535549 + 0.309200i −0.743273 0.668988i \(-0.766728\pi\)
0.207724 + 0.978188i \(0.433394\pi\)
\(60\) −504.976 + 640.091i −0.140271 + 0.177803i
\(61\) 33.1660 57.4451i 0.00891319 0.0154381i −0.861534 0.507699i \(-0.830496\pi\)
0.870448 + 0.492261i \(0.163829\pi\)
\(62\) −2335.80 192.360i −0.607648 0.0500416i
\(63\) 3739.40 + 1964.01i 0.942152 + 0.494837i
\(64\) −3608.23 1938.53i −0.880915 0.473275i
\(65\) 345.759 598.872i 0.0818365 0.141745i
\(66\) 1709.60 + 3438.32i 0.392471 + 0.789331i
\(67\) 3554.82 2052.38i 0.791897 0.457202i −0.0487331 0.998812i \(-0.515518\pi\)
0.840630 + 0.541610i \(0.182185\pi\)
\(68\) −690.091 1837.49i −0.149241 0.397380i
\(69\) −4212.79 + 2545.87i −0.884854 + 0.534733i
\(70\) −672.427 + 970.824i −0.137230 + 0.198127i
\(71\) 5031.65i 0.998145i 0.866560 + 0.499072i \(0.166326\pi\)
−0.866560 + 0.499072i \(0.833674\pi\)
\(72\) 1063.02 5073.84i 0.205058 0.978750i
\(73\) 2705.16 0.507631 0.253815 0.967253i \(-0.418314\pi\)
0.253815 + 0.967253i \(0.418314\pi\)
\(74\) −7527.78 5214.01i −1.37469 0.952157i
\(75\) −2575.34 + 4673.95i −0.457838 + 0.830925i
\(76\) −8891.60 + 3339.35i −1.53940 + 0.578143i
\(77\) 2781.03 + 4816.88i 0.469055 + 0.812427i
\(78\) −273.215 + 4388.44i −0.0449071 + 0.721308i
\(79\) −1196.02 690.524i −0.191639 0.110643i 0.401110 0.916030i \(-0.368624\pi\)
−0.592750 + 0.805387i \(0.701958\pi\)
\(80\) 1371.84 + 467.852i 0.214350 + 0.0731019i
\(81\) 6540.04 524.053i 0.996805 0.0798740i
\(82\) 941.652 11434.4i 0.140043 1.70053i
\(83\) 2605.31 + 1504.18i 0.378184 + 0.218345i 0.677028 0.735957i \(-0.263268\pi\)
−0.298844 + 0.954302i \(0.596601\pi\)
\(84\) 1080.12 7430.88i 0.153079 1.05313i
\(85\) 347.282 + 601.509i 0.0480667 + 0.0832539i
\(86\) 3835.74 + 8117.45i 0.518624 + 1.09755i
\(87\) 3196.09 5800.55i 0.422261 0.766356i
\(88\) 4752.65 4900.33i 0.613721 0.632790i
\(89\) 3186.35 0.402267 0.201133 0.979564i \(-0.435538\pi\)
0.201133 + 0.979564i \(0.435538\pi\)
\(90\) −77.3677 + 1832.80i −0.00955157 + 0.226271i
\(91\) 6368.92i 0.769100i
\(92\) 6760.48 + 5556.22i 0.798734 + 0.656454i
\(93\) −4513.23 + 2727.43i −0.521821 + 0.315346i
\(94\) 1802.68 + 3814.95i 0.204015 + 0.431751i
\(95\) 2910.71 1680.50i 0.322516 0.186205i
\(96\) −9134.91 + 1219.85i −0.991201 + 0.132362i
\(97\) 2407.03 4169.10i 0.255822 0.443097i −0.709296 0.704910i \(-0.750987\pi\)
0.965118 + 0.261814i \(0.0843206\pi\)
\(98\) 104.455 1268.38i 0.0108762 0.132068i
\(99\) 7648.94 + 4017.38i 0.780425 + 0.409895i
\(100\) 9359.28 + 1552.05i 0.935928 + 0.155205i
\(101\) 3510.47 6080.30i 0.344130 0.596050i −0.641066 0.767486i \(-0.721507\pi\)
0.985195 + 0.171436i \(0.0548407\pi\)
\(102\) −3680.03 2441.54i −0.353713 0.234673i
\(103\) −1858.85 + 1073.21i −0.175214 + 0.101160i −0.585042 0.811003i \(-0.698922\pi\)
0.409828 + 0.912163i \(0.365589\pi\)
\(104\) 7518.59 2138.39i 0.695136 0.197706i
\(105\) 53.1124 + 2656.62i 0.00481745 + 0.240963i
\(106\) 15627.8 + 10824.4i 1.39087 + 0.963366i
\(107\) 13846.7i 1.20943i −0.796443 0.604713i \(-0.793288\pi\)
0.796443 0.604713i \(-0.206712\pi\)
\(108\) −4747.95 10653.9i −0.407060 0.913401i
\(109\) −19384.9 −1.63159 −0.815793 0.578344i \(-0.803699\pi\)
−0.815793 + 0.578344i \(0.803699\pi\)
\(110\) −1375.45 + 1985.82i −0.113674 + 0.164117i
\(111\) −20599.5 + 411.834i −1.67190 + 0.0334254i
\(112\) −13096.5 + 2585.71i −1.04404 + 0.206132i
\(113\) −6817.20 11807.7i −0.533887 0.924719i −0.999216 0.0395818i \(-0.987397\pi\)
0.465329 0.885138i \(-0.345936\pi\)
\(114\) −11814.6 + 17807.7i −0.909095 + 1.37024i
\(115\) −2681.71 1548.29i −0.202776 0.117073i
\(116\) −11615.2 1926.16i −0.863201 0.143145i
\(117\) 5285.04 + 8363.13i 0.386079 + 0.610938i
\(118\) 8581.54 + 706.715i 0.616313 + 0.0507551i
\(119\) −5539.93 3198.48i −0.391211 0.225866i
\(120\) 3118.35 954.670i 0.216552 0.0662966i
\(121\) −1631.91 2826.55i −0.111462 0.193057i
\(122\) −239.894 + 113.357i −0.0161176 + 0.00761603i
\(123\) −13351.5 22093.5i −0.882509 1.46034i
\(124\) 7242.61 + 5952.47i 0.471034 + 0.387128i
\(125\) −6895.78 −0.441330
\(126\) −7822.98 14974.9i −0.492755 0.943243i
\(127\) 15689.6i 0.972754i 0.873749 + 0.486377i \(0.161682\pi\)
−0.873749 + 0.486377i \(0.838318\pi\)
\(128\) 7449.66 + 14592.4i 0.454691 + 0.890649i
\(129\) 17692.7 + 9748.64i 1.06320 + 0.585820i
\(130\) −2500.92 + 1181.76i −0.147983 + 0.0699266i
\(131\) 7250.25 4185.93i 0.422484 0.243921i −0.273656 0.961828i \(-0.588233\pi\)
0.696140 + 0.717907i \(0.254899\pi\)
\(132\) 2209.39 15199.9i 0.126802 0.872352i
\(133\) −15477.5 + 26807.7i −0.874977 + 1.51550i
\(134\) −16363.6 1347.59i −0.911319 0.0750497i
\(135\) 2274.25 + 3444.38i 0.124788 + 0.188992i
\(136\) −1915.80 + 7613.87i −0.103579 + 0.411650i
\(137\) 14965.1 25920.4i 0.797333 1.38102i −0.124014 0.992280i \(-0.539577\pi\)
0.921347 0.388741i \(-0.127090\pi\)
\(138\) 19651.2 + 1223.44i 1.03188 + 0.0642428i
\(139\) 20651.8 11923.3i 1.06888 0.617118i 0.141005 0.990009i \(-0.454967\pi\)
0.927875 + 0.372891i \(0.121633\pi\)
\(140\) 4422.24 1660.83i 0.225624 0.0847361i
\(141\) 8315.02 + 4581.56i 0.418239 + 0.230449i
\(142\) 11459.9 16545.4i 0.568336 0.820541i
\(143\) 13027.6i 0.637078i
\(144\) −15051.5 + 14263.0i −0.725864 + 0.687839i
\(145\) 4166.34 0.198161
\(146\) −8895.30 6161.20i −0.417306 0.289041i
\(147\) −1481.04 2450.76i −0.0685381 0.113414i
\(148\) 12878.1 + 34290.1i 0.587933 + 1.56547i
\(149\) −2636.98 4567.39i −0.118778 0.205729i 0.800506 0.599325i \(-0.204564\pi\)
−0.919284 + 0.393596i \(0.871231\pi\)
\(150\) 19113.6 9503.68i 0.849495 0.422386i
\(151\) −28946.1 16712.0i −1.26951 0.732951i −0.294614 0.955616i \(-0.595191\pi\)
−0.974895 + 0.222665i \(0.928524\pi\)
\(152\) 36843.5 + 9270.55i 1.59468 + 0.401253i
\(153\) −9928.73 + 397.158i −0.424142 + 0.0169661i
\(154\) 1826.02 22173.2i 0.0769954 0.934945i
\(155\) −2872.96 1658.71i −0.119582 0.0690408i
\(156\) 10893.4 13808.1i 0.447624 0.567393i
\(157\) −8500.73 14723.7i −0.344871 0.597334i 0.640459 0.767992i \(-0.278744\pi\)
−0.985330 + 0.170658i \(0.945411\pi\)
\(158\) 2360.12 + 4994.65i 0.0945410 + 0.200074i
\(159\) 42764.9 854.976i 1.69158 0.0338189i
\(160\) −3445.41 4662.88i −0.134586 0.182144i
\(161\) 28519.6 1.10025
\(162\) −22698.9 13172.2i −0.864919 0.501911i
\(163\) 30843.8i 1.16089i 0.814298 + 0.580447i \(0.197122\pi\)
−0.814298 + 0.580447i \(0.802878\pi\)
\(164\) −29138.9 + 35454.5i −1.08339 + 1.31821i
\(165\) 108.641 + 5434.12i 0.00399050 + 0.199600i
\(166\) −5141.09 10879.9i −0.186569 0.394829i
\(167\) −13682.1 + 7899.35i −0.490591 + 0.283243i −0.724819 0.688939i \(-0.758077\pi\)
0.234229 + 0.972181i \(0.424743\pi\)
\(168\) −20476.1 + 21974.6i −0.725485 + 0.778580i
\(169\) 6821.76 11815.6i 0.238849 0.413698i
\(170\) 228.025 2768.88i 0.00789015 0.0958090i
\(171\) 1921.85 + 48045.1i 0.0657245 + 1.64307i
\(172\) 5875.12 35428.5i 0.198591 1.19756i
\(173\) −23531.4 + 40757.6i −0.786241 + 1.36181i 0.142015 + 0.989865i \(0.454642\pi\)
−0.928255 + 0.371944i \(0.878691\pi\)
\(174\) −23720.7 + 11794.4i −0.783483 + 0.389564i
\(175\) 26777.0 15459.7i 0.874352 0.504807i
\(176\) −26788.8 + 5289.07i −0.864825 + 0.170747i
\(177\) 16581.3 10020.4i 0.529262 0.319843i
\(178\) −10477.6 7257.14i −0.330690 0.229047i
\(179\) 2545.69i 0.0794511i 0.999211 + 0.0397256i \(0.0126484\pi\)
−0.999211 + 0.0397256i \(0.987352\pi\)
\(180\) 4428.73 5850.51i 0.136689 0.180571i
\(181\) 5676.58 0.173272 0.0866362 0.996240i \(-0.472388\pi\)
0.0866362 + 0.996240i \(0.472388\pi\)
\(182\) 14505.6 20942.7i 0.437920 0.632251i
\(183\) −288.100 + 522.869i −0.00860282 + 0.0156132i
\(184\) −9575.56 33667.8i −0.282832 0.994441i
\(185\) −6480.77 11225.0i −0.189358 0.327977i
\(186\) 21052.6 + 1310.69i 0.608527 + 0.0378856i
\(187\) −11331.9 6542.49i −0.324056 0.187094i
\(188\) 2761.12 16650.3i 0.0781214 0.471092i
\(189\) −34001.2 16999.8i −0.951855 0.475906i
\(190\) −13398.6 1103.41i −0.371153 0.0305655i
\(191\) 28127.2 + 16239.2i 0.771009 + 0.445142i 0.833234 0.552920i \(-0.186487\pi\)
−0.0622257 + 0.998062i \(0.519820\pi\)
\(192\) 32816.3 + 16794.2i 0.890199 + 0.455572i
\(193\) −393.717 681.937i −0.0105699 0.0183075i 0.860692 0.509126i \(-0.170031\pi\)
−0.871262 + 0.490818i \(0.836698\pi\)
\(194\) −17410.3 + 8226.92i −0.462598 + 0.218592i
\(195\) −3003.47 + 5450.97i −0.0789868 + 0.143352i
\(196\) −3232.29 + 3932.86i −0.0841393 + 0.102376i
\(197\) 24825.9 0.639694 0.319847 0.947469i \(-0.396368\pi\)
0.319847 + 0.947469i \(0.396368\pi\)
\(198\) −16001.9 30631.2i −0.408170 0.781328i
\(199\) 12008.5i 0.303237i −0.988439 0.151619i \(-0.951551\pi\)
0.988439 0.151619i \(-0.0484485\pi\)
\(200\) −27240.9 26420.0i −0.681022 0.660499i
\(201\) −31617.8 + 19107.2i −0.782600 + 0.472939i
\(202\) −25391.6 + 11998.3i −0.622283 + 0.294048i
\(203\) −33231.3 + 19186.1i −0.806409 + 0.465580i
\(204\) 6540.14 + 16409.9i 0.157154 + 0.394318i
\(205\) 8119.80 14063.9i 0.193213 0.334656i
\(206\) 8556.69 + 704.668i 0.201638 + 0.0166054i
\(207\) 37449.5 23666.1i 0.873989 0.552313i
\(208\) −29593.5 10092.5i −0.684020 0.233278i
\(209\) −31659.1 + 54835.2i −0.724780 + 1.25536i
\(210\) 5875.99 8856.64i 0.133242 0.200831i
\(211\) 25764.7 14875.2i 0.578708 0.334117i −0.181912 0.983315i \(-0.558229\pi\)
0.760620 + 0.649198i \(0.224895\pi\)
\(212\) −26735.1 71186.9i −0.594854 1.58390i
\(213\) −905.174 45275.8i −0.0199514 0.997945i
\(214\) −31536.9 + 45531.7i −0.688638 + 0.994228i
\(215\) 12708.1i 0.274917i
\(216\) −8652.50 + 45846.7i −0.185453 + 0.982653i
\(217\) 30553.5 0.648846
\(218\) 63742.6 + 44150.4i 1.34127 + 0.929012i
\(219\) −24341.6 + 486.649i −0.507529 + 0.0101468i
\(220\) 9045.68 3397.22i 0.186894 0.0701905i
\(221\) −7491.58 12975.8i −0.153387 0.265674i
\(222\) 68674.5 + 45562.5i 1.39344 + 0.924489i
\(223\) −45854.8 26474.3i −0.922093 0.532371i −0.0377910 0.999286i \(-0.512032\pi\)
−0.884302 + 0.466915i \(0.845365\pi\)
\(224\) 48953.8 + 21325.6i 0.975642 + 0.425016i
\(225\) 22332.6 42520.4i 0.441137 0.839910i
\(226\) −4476.18 + 54353.6i −0.0876376 + 1.06417i
\(227\) −32593.5 18817.9i −0.632528 0.365190i 0.149203 0.988807i \(-0.452329\pi\)
−0.781730 + 0.623616i \(0.785663\pi\)
\(228\) 79407.7 31647.7i 1.52754 0.608797i
\(229\) 28619.2 + 49569.9i 0.545741 + 0.945251i 0.998560 + 0.0536486i \(0.0170851\pi\)
−0.452819 + 0.891603i \(0.649582\pi\)
\(230\) 5291.85 + 11199.0i 0.100035 + 0.211701i
\(231\) −25890.8 42843.0i −0.485201 0.802889i
\(232\) 33807.0 + 32788.2i 0.628102 + 0.609174i
\(233\) −36468.7 −0.671751 −0.335876 0.941906i \(-0.609032\pi\)
−0.335876 + 0.941906i \(0.609032\pi\)
\(234\) 1668.98 39537.2i 0.0304803 0.722062i
\(235\) 5972.39i 0.108147i
\(236\) −26608.8 21868.9i −0.477750 0.392648i
\(237\) 10886.3 + 5998.31i 0.193813 + 0.106790i
\(238\) 10932.0 + 23135.0i 0.192995 + 0.408429i
\(239\) 45342.6 26178.6i 0.793799 0.458300i −0.0474993 0.998871i \(-0.515125\pi\)
0.841298 + 0.540571i \(0.181792\pi\)
\(240\) −12428.3 3963.04i −0.215769 0.0688027i
\(241\) 6755.56 11701.0i 0.116313 0.201460i −0.801991 0.597336i \(-0.796226\pi\)
0.918304 + 0.395877i \(0.129559\pi\)
\(242\) −1071.51 + 13011.2i −0.0182964 + 0.222171i
\(243\) −58754.3 + 5892.07i −0.995009 + 0.0997827i
\(244\) 1047.01 + 173.627i 0.0175862 + 0.00291633i
\(245\) 900.705 1560.07i 0.0150055 0.0259903i
\(246\) −6416.18 + 103058.i −0.106024 + 1.70299i
\(247\) −62789.9 + 36251.8i −1.02919 + 0.594204i
\(248\) −10258.5 36068.9i −0.166793 0.586447i
\(249\) −23713.7 13066.2i −0.382473 0.210742i
\(250\) 22675.1 + 15705.6i 0.362802 + 0.251290i
\(251\) 111309.i 1.76678i −0.468635 0.883392i \(-0.655254\pi\)
0.468635 0.883392i \(-0.344746\pi\)
\(252\) −8382.38 + 67058.9i −0.131998 + 1.05598i
\(253\) 58336.8 0.911385
\(254\) 35734.0 51591.4i 0.553879 0.799668i
\(255\) −3233.12 5350.03i −0.0497212 0.0822765i
\(256\) 8738.74 64950.8i 0.133343 0.991070i
\(257\) 36956.5 + 64010.6i 0.559532 + 0.969138i 0.997535 + 0.0701645i \(0.0223524\pi\)
−0.438003 + 0.898973i \(0.644314\pi\)
\(258\) −35975.1 72352.4i −0.540458 1.08696i
\(259\) 103383. + 59688.2i 1.54117 + 0.889793i
\(260\) 10915.2 + 1810.08i 0.161468 + 0.0267763i
\(261\) −27715.6 + 52769.5i −0.406858 + 0.774644i
\(262\) −33374.5 2748.48i −0.486197 0.0400397i
\(263\) 6380.84 + 3683.98i 0.0922500 + 0.0532606i 0.545415 0.838166i \(-0.316372\pi\)
−0.453165 + 0.891426i \(0.649705\pi\)
\(264\) −41883.8 + 44949.1i −0.600950 + 0.644931i
\(265\) 13454.2 + 23303.3i 0.191587 + 0.331838i
\(266\) 111950. 52900.0i 1.58220 0.747639i
\(267\) −28671.5 + 573.213i −0.402186 + 0.00804069i
\(268\) 50738.7 + 41700.5i 0.706431 + 0.580593i
\(269\) −38604.8 −0.533502 −0.266751 0.963765i \(-0.585950\pi\)
−0.266751 + 0.963765i \(0.585950\pi\)
\(270\) 366.457 16505.8i 0.00502684 0.226417i
\(271\) 12540.3i 0.170753i −0.996349 0.0853767i \(-0.972791\pi\)
0.996349 0.0853767i \(-0.0272094\pi\)
\(272\) 23640.8 20673.1i 0.319539 0.279426i
\(273\) −1145.74 57308.8i −0.0153731 0.768946i
\(274\) −108245. + 51148.9i −1.44180 + 0.681295i
\(275\) 54772.4 31622.8i 0.724263 0.418153i
\(276\) −61831.7 48779.8i −0.811695 0.640357i
\(277\) 46052.4 79765.0i 0.600195 1.03957i −0.392596 0.919711i \(-0.628423\pi\)
0.992791 0.119857i \(-0.0382436\pi\)
\(278\) −95064.9 7828.87i −1.23007 0.101300i
\(279\) 40120.3 25353.9i 0.515414 0.325713i
\(280\) −18324.1 4610.71i −0.233726 0.0588101i
\(281\) −11148.0 + 19308.8i −0.141183 + 0.244537i −0.927942 0.372723i \(-0.878424\pi\)
0.786759 + 0.617260i \(0.211757\pi\)
\(282\) −16907.2 34003.4i −0.212605 0.427587i
\(283\) −21648.6 + 12498.8i −0.270307 + 0.156062i −0.629027 0.777383i \(-0.716547\pi\)
0.358720 + 0.933445i \(0.383213\pi\)
\(284\) −75366.5 + 28304.8i −0.934419 + 0.350933i
\(285\) −25888.8 + 15645.1i −0.318729 + 0.192614i
\(286\) 29671.3 42838.2i 0.362747 0.523720i
\(287\) 149568.i 1.81582i
\(288\) 81978.3 12619.7i 0.988358 0.152148i
\(289\) −68471.9 −0.819816
\(290\) −13700.0 9489.12i −0.162902 0.112831i
\(291\) −20908.9 + 37947.4i −0.246914 + 0.448122i
\(292\) 15217.5 + 40519.3i 0.178475 + 0.475222i
\(293\) 11748.6 + 20349.1i 0.136852 + 0.237034i 0.926303 0.376779i \(-0.122968\pi\)
−0.789452 + 0.613813i \(0.789635\pi\)
\(294\) −711.727 + 11431.9i −0.00823416 + 0.132259i
\(295\) 10555.0 + 6093.95i 0.121287 + 0.0700253i
\(296\) 35751.5 142086.i 0.408048 1.62169i
\(297\) −69549.5 34773.1i −0.788462 0.394213i
\(298\) −1731.44 + 21024.7i −0.0194974 + 0.236754i
\(299\) 57850.1 + 33399.7i 0.647085 + 0.373595i
\(300\) −84495.9 12282.0i −0.938844 0.136467i
\(301\) −58521.0 101361.i −0.645920 1.11877i
\(302\) 57119.6 + 120880.i 0.626283 + 1.32538i
\(303\) −30494.1 + 55343.3i −0.332147 + 0.602809i
\(304\) −100037. 114398.i −1.08246 1.23786i
\(305\) −375.559 −0.00403719
\(306\) 33552.8 + 21307.4i 0.358333 + 0.227556i
\(307\) 32060.0i 0.340163i −0.985430 0.170082i \(-0.945597\pi\)
0.985430 0.170082i \(-0.0544031\pi\)
\(308\) −56505.3 + 68752.3i −0.595646 + 0.724746i
\(309\) 16533.2 9991.34i 0.173157 0.104642i
\(310\) 5669.24 + 11997.6i 0.0589931 + 0.124845i
\(311\) −61441.4 + 35473.2i −0.635244 + 0.366758i −0.782780 0.622298i \(-0.786199\pi\)
0.147536 + 0.989057i \(0.452866\pi\)
\(312\) −67269.1 + 20594.2i −0.691046 + 0.211561i
\(313\) −59259.6 + 102641.i −0.604882 + 1.04769i 0.387189 + 0.922001i \(0.373446\pi\)
−0.992070 + 0.125685i \(0.959887\pi\)
\(314\) −5581.58 + 67776.4i −0.0566106 + 0.687415i
\(315\) −955.832 23895.3i −0.00963298 0.240819i
\(316\) 3614.95 21799.1i 0.0362016 0.218305i
\(317\) 67390.6 116724.i 0.670626 1.16156i −0.307100 0.951677i \(-0.599359\pi\)
0.977727 0.209882i \(-0.0673080\pi\)
\(318\) −142570. 94588.6i −1.40985 0.935372i
\(319\) −67974.6 + 39245.2i −0.667983 + 0.385660i
\(320\) 709.388 + 23180.0i 0.00692762 + 0.226367i
\(321\) 2490.97 + 124596.i 0.0241746 + 1.20918i
\(322\) −93780.0 64955.4i −0.904479 0.626474i
\(323\) 72822.8i 0.698011i
\(324\) 44639.6 + 95011.9i 0.425236 + 0.905082i
\(325\) 72420.4 0.685637
\(326\) 70248.8 101422.i 0.661003 0.954331i
\(327\) 174429. 3487.26i 1.63126 0.0326129i
\(328\) 176567. 50217.8i 1.64120 0.466778i
\(329\) −27503.0 47636.7i −0.254091 0.440098i
\(330\) 12019.3 18116.2i 0.110370 0.166357i
\(331\) 133143. + 76870.2i 1.21524 + 0.701620i 0.963896 0.266278i \(-0.0857939\pi\)
0.251345 + 0.967898i \(0.419127\pi\)
\(332\) −7874.49 + 47485.2i −0.0714408 + 0.430806i
\(333\) 185284. 7411.54i 1.67090 0.0668374i
\(334\) 62981.6 + 5186.72i 0.564574 + 0.0464943i
\(335\) −20126.8 11620.2i −0.179343 0.103544i
\(336\) 117380. 25622.8i 1.03971 0.226959i
\(337\) 11471.8 + 19869.8i 0.101012 + 0.174958i 0.912102 0.409964i \(-0.134459\pi\)
−0.811090 + 0.584922i \(0.801125\pi\)
\(338\) −49342.7 + 23315.9i −0.431906 + 0.204089i
\(339\) 63466.7 + 105022.i 0.552264 + 0.913863i
\(340\) −7056.12 + 8585.46i −0.0610391 + 0.0742687i
\(341\) 62497.2 0.537467
\(342\) 103107. 162362.i 0.881524 1.38814i
\(343\) 108611.i 0.923175i
\(344\) −100010. + 103117.i −0.845134 + 0.871393i
\(345\) 24409.1 + 13449.4i 0.205076 + 0.112996i
\(346\) 170206. 80427.3i 1.42174 0.671817i
\(347\) 6260.87 3614.72i 0.0519967 0.0300203i −0.473776 0.880645i \(-0.657109\pi\)
0.525773 + 0.850625i \(0.323776\pi\)
\(348\) 104863. + 15242.4i 0.865890 + 0.125862i
\(349\) −55282.6 + 95752.3i −0.453877 + 0.786137i −0.998623 0.0524636i \(-0.983293\pi\)
0.544746 + 0.838601i \(0.316626\pi\)
\(350\) −123260. 10150.9i −1.00621 0.0828641i
\(351\) −49060.4 74302.3i −0.398214 0.603098i
\(352\) 100135. + 43621.5i 0.808165 + 0.352059i
\(353\) 30801.7 53350.1i 0.247187 0.428140i −0.715557 0.698554i \(-0.753827\pi\)
0.962744 + 0.270414i \(0.0871605\pi\)
\(354\) −77345.6 4815.37i −0.617204 0.0384259i
\(355\) 24671.6 14244.1i 0.195767 0.113026i
\(356\) 17924.4 + 47726.8i 0.141431 + 0.376584i
\(357\) 50424.8 + 27784.0i 0.395647 + 0.218001i
\(358\) 5797.99 8370.91i 0.0452388 0.0653141i
\(359\) 84462.7i 0.655354i 0.944790 + 0.327677i \(0.106266\pi\)
−0.944790 + 0.327677i \(0.893734\pi\)
\(360\) −27887.8 + 9151.29i −0.215183 + 0.0706118i
\(361\) −222069. −1.70401
\(362\) −18666.1 12928.8i −0.142441 0.0986600i
\(363\) 15192.7 + 25140.3i 0.115298 + 0.190791i
\(364\) −95396.8 + 35827.5i −0.719998 + 0.270404i
\(365\) −7658.07 13264.2i −0.0574823 0.0995622i
\(366\) 2138.22 1063.17i 0.0159621 0.00793668i
\(367\) −161018. 92963.9i −1.19548 0.690212i −0.235937 0.971768i \(-0.575816\pi\)
−0.959545 + 0.281556i \(0.909149\pi\)
\(368\) −45193.7 + 132518.i −0.333720 + 0.978538i
\(369\) 124114. + 196399.i 0.911522 + 1.44241i
\(370\) −4255.27 + 51671.2i −0.0310831 + 0.377438i
\(371\) −214625. 123914.i −1.55931 0.900268i
\(372\) −66241.3 52258.6i −0.478678 0.377635i
\(373\) 42545.6 + 73691.2i 0.305800 + 0.529661i 0.977439 0.211217i \(-0.0677428\pi\)
−0.671639 + 0.740878i \(0.734409\pi\)
\(374\) 22361.4 + 47322.7i 0.159866 + 0.338319i
\(375\) 62049.6 1240.52i 0.441241 0.00882150i
\(376\) −47001.5 + 48461.9i −0.332457 + 0.342787i
\(377\) −89876.5 −0.632359
\(378\) 73086.7 + 133340.i 0.511511 + 0.933205i
\(379\) 146982.i 1.02326i −0.859206 0.511630i \(-0.829042\pi\)
0.859206 0.511630i \(-0.170958\pi\)
\(380\) 41545.1 + 34144.6i 0.287708 + 0.236458i
\(381\) −2822.49 141178.i −0.0194439 0.972560i
\(382\) −55503.6 117460.i −0.380360 0.804942i
\(383\) −161253. + 93099.7i −1.09929 + 0.634674i −0.936034 0.351910i \(-0.885532\pi\)
−0.163254 + 0.986584i \(0.552199\pi\)
\(384\) −69658.6 129965.i −0.472403 0.881383i
\(385\) 15745.7 27272.3i 0.106228 0.183993i
\(386\) −258.515 + 3139.11i −0.00173504 + 0.0210684i
\(387\) −160956. 84537.3i −1.07470 0.564452i
\(388\) 75987.2 + 12601.0i 0.504751 + 0.0837030i
\(389\) 128002. 221706.i 0.845897 1.46514i −0.0389437 0.999241i \(-0.512399\pi\)
0.884840 0.465894i \(-0.154267\pi\)
\(390\) 22291.2 11083.6i 0.146556 0.0728706i
\(391\) −58104.8 + 33546.8i −0.380066 + 0.219431i
\(392\) 19586.0 5570.52i 0.127460 0.0362513i
\(393\) −64486.2 + 38970.2i −0.417524 + 0.252317i
\(394\) −81634.1 56542.7i −0.525871 0.364237i
\(395\) 7819.24i 0.0501153i
\(396\) −17146.2 + 137169.i −0.109339 + 0.874712i
\(397\) −260735. −1.65432 −0.827159 0.561968i \(-0.810044\pi\)
−0.827159 + 0.561968i \(0.810044\pi\)
\(398\) −27350.2 + 39487.1i −0.172661 + 0.249281i
\(399\) 134447. 244006.i 0.844509 1.53269i
\(400\) 29401.9 + 148919.i 0.183762 + 0.930743i
\(401\) −26507.0 45911.4i −0.164843 0.285517i 0.771756 0.635918i \(-0.219379\pi\)
−0.936600 + 0.350401i \(0.886045\pi\)
\(402\) 147486. + 9182.15i 0.912637 + 0.0568189i
\(403\) 61975.7 + 35781.7i 0.381603 + 0.220318i
\(404\) 110821. + 18377.6i 0.678986 + 0.112597i
\(405\) −21083.8 30584.1i −0.128540 0.186460i
\(406\) 152971. + 12597.6i 0.928019 + 0.0764251i
\(407\) 211470. + 122092.i 1.27661 + 0.737053i
\(408\) 15869.0 68855.8i 0.0953301 0.413638i
\(409\) −73697.8 127648.i −0.440563 0.763078i 0.557168 0.830400i \(-0.311888\pi\)
−0.997731 + 0.0673220i \(0.978555\pi\)
\(410\) −58731.5 + 27752.4i −0.349385 + 0.165095i
\(411\) −129996. + 235929.i −0.769569 + 1.39668i
\(412\) −26531.7 21805.6i −0.156304 0.128462i
\(413\) −112251. −0.658099
\(414\) −177045. 7473.59i −1.03296 0.0436042i
\(415\) 17032.8i 0.0988983i
\(416\) 74324.7 + 100588.i 0.429483 + 0.581246i
\(417\) −183684. + 111004.i −1.05633 + 0.638360i
\(418\) 228995. 108207.i 1.31061 0.619302i
\(419\) 201431. 116296.i 1.14736 0.662426i 0.199115 0.979976i \(-0.436193\pi\)
0.948242 + 0.317550i \(0.102860\pi\)
\(420\) −39493.4 + 15740.0i −0.223886 + 0.0892290i
\(421\) 34900.8 60449.9i 0.196911 0.341060i −0.750614 0.660741i \(-0.770242\pi\)
0.947525 + 0.319680i \(0.103576\pi\)
\(422\) −118600. 9767.08i −0.665980 0.0548454i
\(423\) −75644.4 39729.9i −0.422762 0.222043i
\(424\) −74220.8 + 294972.i −0.412852 + 1.64078i
\(425\) −36369.7 + 62994.1i −0.201355 + 0.348756i
\(426\) −100142. + 150940.i −0.551821 + 0.831737i
\(427\) 2995.51 1729.46i 0.0164292 0.00948539i
\(428\) 207403. 77892.8i 1.13221 0.425216i
\(429\) −2343.62 117225.i −0.0127342 0.636951i
\(430\) 28943.5 41787.5i 0.156536 0.226000i
\(431\) 147873.i 0.796037i −0.917377 0.398019i \(-0.869698\pi\)
0.917377 0.398019i \(-0.130302\pi\)
\(432\) 132871. 131049.i 0.711970 0.702210i
\(433\) 294850. 1.57262 0.786312 0.617830i \(-0.211988\pi\)
0.786312 + 0.617830i \(0.211988\pi\)
\(434\) −100468. 69587.7i −0.533395 0.369448i
\(435\) −37489.6 + 749.509i −0.198122 + 0.00396094i
\(436\) −109047. 290356.i −0.573641 1.52742i
\(437\) 162333. + 281169.i 0.850050 + 1.47233i
\(438\) 81150.0 + 53839.5i 0.423000 + 0.280642i
\(439\) 62468.0 + 36065.9i 0.324137 + 0.187140i 0.653235 0.757155i \(-0.273411\pi\)
−0.329098 + 0.944296i \(0.606745\pi\)
\(440\) −37482.0 9431.20i −0.193605 0.0487149i
\(441\) 13767.6 + 21786.0i 0.0707914 + 0.112021i
\(442\) −4918.98 + 59730.5i −0.0251785 + 0.305739i
\(443\) −165331. 95453.7i −0.842453 0.486391i 0.0156440 0.999878i \(-0.495020\pi\)
−0.858097 + 0.513487i \(0.828353\pi\)
\(444\) −122048. 306232.i −0.619106 1.55341i
\(445\) −9020.28 15623.6i −0.0455512 0.0788970i
\(446\) 90485.7 + 191492.i 0.454894 + 0.962677i
\(447\) 24549.7 + 40623.9i 0.122866 + 0.203314i
\(448\) −112402. 181620.i −0.560041 0.904914i
\(449\) 192859. 0.956639 0.478319 0.878186i \(-0.341246\pi\)
0.478319 + 0.878186i \(0.341246\pi\)
\(450\) −170279. + 88954.5i −0.840882 + 0.439281i
\(451\) 305940.i 1.50412i
\(452\) 138513. 168534.i 0.677975 0.824919i
\(453\) 263469. + 145171.i 1.28391 + 0.707429i
\(454\) 64317.1 + 136112.i 0.312043 + 0.660367i
\(455\) 31228.6 18029.8i 0.150844 0.0870901i
\(456\) −333193. 76790.3i −1.60238 0.369298i
\(457\) 2962.66 5131.48i 0.0141857 0.0245703i −0.858845 0.512235i \(-0.828818\pi\)
0.873031 + 0.487665i \(0.162151\pi\)
\(458\) 18791.4 228181.i 0.0895834 1.08780i
\(459\) 89269.3 5359.85i 0.423718 0.0254406i
\(460\) 8105.41 48877.7i 0.0383053 0.230991i
\(461\) −63341.9 + 109711.i −0.298050 + 0.516238i −0.975690 0.219156i \(-0.929670\pi\)
0.677640 + 0.735394i \(0.263003\pi\)
\(462\) −12442.1 + 199847.i −0.0582919 + 0.936297i
\(463\) −204011. + 117786.i −0.951682 + 0.549454i −0.893603 0.448858i \(-0.851831\pi\)
−0.0580790 + 0.998312i \(0.518498\pi\)
\(464\) −36488.9 184814.i −0.169483 0.858418i
\(465\) 26149.9 + 14408.5i 0.120938 + 0.0666367i
\(466\) 119919. + 83060.0i 0.552224 + 0.382490i
\(467\) 97776.2i 0.448332i −0.974551 0.224166i \(-0.928034\pi\)
0.974551 0.224166i \(-0.0719658\pi\)
\(468\) −95536.8 + 126208.i −0.436193 + 0.576227i
\(469\) 214045. 0.973105
\(470\) 13602.5 19638.8i 0.0615778 0.0889036i
\(471\) 79140.0 + 130957.i 0.356742 + 0.590321i
\(472\) 37688.8 + 132514.i 0.169172 + 0.594810i
\(473\) −119705. 207334.i −0.535043 0.926721i
\(474\) −22135.4 44518.3i −0.0985213 0.198144i
\(475\) 304829. + 175993.i 1.35104 + 0.780024i
\(476\) 16744.3 100972.i 0.0739015 0.445645i
\(477\) −384653. + 15386.5i −1.69057 + 0.0676243i
\(478\) −208722. 17188.8i −0.913508 0.0752300i
\(479\) 349162. + 201589.i 1.52179 + 0.878608i 0.999669 + 0.0257398i \(0.00819415\pi\)
0.522126 + 0.852869i \(0.325139\pi\)
\(480\) 31841.3 + 41337.7i 0.138200 + 0.179417i
\(481\) 139803. + 242147.i 0.604266 + 1.04662i
\(482\) −48863.8 + 23089.6i −0.210326 + 0.0993855i
\(483\) −256625. + 5130.57i −1.10003 + 0.0219923i
\(484\) 33157.4 40344.0i 0.141543 0.172222i
\(485\) −27256.3 −0.115873
\(486\) 206619. + 114442.i 0.874779 + 0.484523i
\(487\) 195207.i 0.823071i −0.911394 0.411536i \(-0.864993\pi\)
0.911394 0.411536i \(-0.135007\pi\)
\(488\) −3047.41 2955.57i −0.0127965 0.0124109i
\(489\) −5548.68 277538.i −0.0232045 1.16066i
\(490\) −6514.92 + 3078.49i −0.0271342 + 0.0128217i
\(491\) 65937.1 38068.8i 0.273506 0.157909i −0.356974 0.934114i \(-0.616191\pi\)
0.630480 + 0.776206i \(0.282858\pi\)
\(492\) 255820. 324269.i 1.05683 1.33960i
\(493\) 45136.2 78178.1i 0.185708 0.321656i
\(494\) 289036. + 23802.9i 1.18440 + 0.0975386i
\(495\) −1955.15 48877.7i −0.00797941 0.199481i
\(496\) −48416.8 + 141968.i −0.196803 + 0.577069i
\(497\) −131189. + 227226.i −0.531111 + 0.919912i
\(498\) 48217.8 + 96974.8i 0.194423 + 0.391021i
\(499\) 12618.3 7285.17i 0.0506757 0.0292576i −0.474448 0.880283i \(-0.657352\pi\)
0.525124 + 0.851026i \(0.324019\pi\)
\(500\) −38791.2 103288.i −0.155165 0.413153i
\(501\) 121693. 73541.3i 0.484831 0.292992i
\(502\) −253514. + 366014.i −1.00599 + 1.45241i
\(503\) 280154.i 1.10729i 0.832753 + 0.553645i \(0.186764\pi\)
−0.832753 + 0.553645i \(0.813236\pi\)
\(504\) 180295. 201416.i 0.709777 0.792926i
\(505\) −39751.2 −0.155872
\(506\) −191827. 132866.i −0.749219 0.518935i
\(507\) −59258.0 + 107547.i −0.230532 + 0.418390i
\(508\) −235006. + 88259.4i −0.910650 + 0.342006i
\(509\) −101505. 175811.i −0.391787 0.678595i 0.600899 0.799325i \(-0.294810\pi\)
−0.992685 + 0.120731i \(0.961476\pi\)
\(510\) −1553.71 + 24956.0i −0.00597349 + 0.0959476i
\(511\) 122164. + 70531.3i 0.467843 + 0.270110i
\(512\) −176665. + 193672.i −0.673924 + 0.738801i
\(513\) −25936.3 431974.i −0.0985539 1.64143i
\(514\) 24265.7 294655.i 0.0918472 1.11529i
\(515\) 10524.5 + 6076.30i 0.0396813 + 0.0229100i
\(516\) −46492.1 + 319850.i −0.174614 + 1.20129i
\(517\) −56257.4 97440.7i −0.210474 0.364552i
\(518\) −204007. 431732.i −0.760300 1.60900i
\(519\) 204408. 370978.i 0.758863 1.37725i
\(520\) −31769.6 30812.2i −0.117491 0.113950i
\(521\) −30822.1 −0.113550 −0.0567749 0.998387i \(-0.518082\pi\)
−0.0567749 + 0.998387i \(0.518082\pi\)
\(522\) 211322. 110396.i 0.775540 0.405146i
\(523\) 94412.3i 0.345164i −0.984995 0.172582i \(-0.944789\pi\)
0.984995 0.172582i \(-0.0552109\pi\)
\(524\) 103484. + 85050.4i 0.376887 + 0.309752i
\(525\) −238164. + 143927.i −0.864087 + 0.522183i
\(526\) −12591.4 26646.7i −0.0455095 0.0963101i
\(527\) −62248.6 + 35939.3i −0.224134 + 0.129404i
\(528\) 240100. 52411.4i 0.861239 0.188000i
\(529\) 9641.45 16699.5i 0.0344533 0.0596749i
\(530\) 8834.03 107270.i 0.0314490 0.381881i
\(531\) −147399. + 93148.0i −0.522763 + 0.330358i
\(532\) −488606. 81025.8i −1.72638 0.286286i
\(533\) −175161. + 303387.i −0.616570 + 1.06793i
\(534\) 95584.9 + 63416.3i 0.335202 + 0.222392i
\(535\) −67894.3 + 39198.8i −0.237206 + 0.136951i
\(536\) −71866.5 252683.i −0.250148 0.879523i
\(537\) −457.961 22906.7i −0.00158811 0.0794352i
\(538\) 126943. + 87925.0i 0.438574 + 0.303772i
\(539\) 33937.0i 0.116814i
\(540\) −38798.1 + 53440.8i −0.133052 + 0.183267i
\(541\) 166561. 0.569087 0.284544 0.958663i \(-0.408158\pi\)
0.284544 + 0.958663i \(0.408158\pi\)
\(542\) −28561.4 + 41235.8i −0.0972257 + 0.140371i
\(543\) −51079.0 + 1021.20i −0.173238 + 0.00346345i
\(544\) −124821. + 14135.0i −0.421785 + 0.0477637i
\(545\) 54876.8 + 95049.4i 0.184755 + 0.320005i
\(546\) −126757. + 191056.i −0.425194 + 0.640878i
\(547\) −256245. 147943.i −0.856410 0.494448i 0.00639865 0.999980i \(-0.497963\pi\)
−0.862808 + 0.505531i \(0.831297\pi\)
\(548\) 472433. + 78343.7i 1.57318 + 0.260881i
\(549\) 2498.32 4756.71i 0.00828902 0.0157820i
\(550\) −252129. 20763.6i −0.833485 0.0686399i
\(551\) −378304. 218414.i −1.24606 0.719411i
\(552\) 92219.6 + 301227.i 0.302653 + 0.988589i
\(553\) −36007.8 62367.3i −0.117746 0.203942i
\(554\) −333103. + 157401.i −1.08532 + 0.512847i
\(555\) 60334.6 + 99839.1i 0.195876 + 0.324127i
\(556\) 294768. + 242260.i 0.953521 + 0.783669i
\(557\) −30600.2 −0.0986312 −0.0493156 0.998783i \(-0.515704\pi\)
−0.0493156 + 0.998783i \(0.515704\pi\)
\(558\) −189671. 8006.58i −0.609163 0.0257145i
\(559\) 274139.i 0.877298i
\(560\) 49753.4 + 56895.7i 0.158652 + 0.181428i
\(561\) 103144. + 56832.1i 0.327731 + 0.180579i
\(562\) 80634.7 38102.3i 0.255299 0.120637i
\(563\) −210267. + 121398.i −0.663369 + 0.382996i −0.793559 0.608493i \(-0.791774\pi\)
0.130191 + 0.991489i \(0.458441\pi\)
\(564\) −21849.8 + 150319.i −0.0686894 + 0.472560i
\(565\) −38597.8 + 66853.3i −0.120911 + 0.209424i
\(566\) 99653.3 + 8206.73i 0.311070 + 0.0256175i
\(567\) 309008. + 146851.i 0.961178 + 0.456785i
\(568\) 312291. + 78578.6i 0.967973 + 0.243561i
\(569\) −148459. + 257138.i −0.458545 + 0.794223i −0.998884 0.0472242i \(-0.984962\pi\)
0.540339 + 0.841447i \(0.318296\pi\)
\(570\) 120762. + 7518.39i 0.371690 + 0.0231406i
\(571\) 228446. 131893.i 0.700665 0.404529i −0.106930 0.994267i \(-0.534102\pi\)
0.807595 + 0.589737i \(0.200769\pi\)
\(572\) −195134. + 73285.1i −0.596405 + 0.223987i
\(573\) −256015. 141064.i −0.779752 0.429642i
\(574\) 340650. 491818.i 1.03392 1.49273i
\(575\) 324294.i 0.980852i
\(576\) −298309. 145214.i −0.899127 0.437688i
\(577\) 350367. 1.05238 0.526188 0.850368i \(-0.323621\pi\)
0.526188 + 0.850368i \(0.323621\pi\)
\(578\) 225154. + 155949.i 0.673943 + 0.466797i
\(579\) 3665.42 + 6065.38i 0.0109337 + 0.0180926i
\(580\) 23437.2 + 62405.5i 0.0696705 + 0.185510i
\(581\) 78436.3 + 135856.i 0.232362 + 0.402463i
\(582\) 155182. 77159.5i 0.458137 0.227795i
\(583\) −439015. 253466.i −1.29164 0.745730i
\(584\) 42246.2 167897.i 0.123869 0.492286i
\(585\) 26045.3 49589.3i 0.0761057 0.144903i
\(586\) 7714.12 93671.5i 0.0224642 0.272780i
\(587\) −5965.76 3444.33i −0.0173137 0.00999606i 0.491318 0.870980i \(-0.336515\pi\)
−0.508632 + 0.860984i \(0.669849\pi\)
\(588\) 28377.3 35970.2i 0.0820761 0.104037i
\(589\) 173910. + 301221.i 0.501296 + 0.868270i
\(590\) −20828.3 44078.3i −0.0598344 0.126625i
\(591\) −223388. + 4466.08i −0.639566 + 0.0127865i
\(592\) −441170. + 385788.i −1.25882 + 1.10079i
\(593\) 544416. 1.54818 0.774090 0.633076i \(-0.218208\pi\)
0.774090 + 0.633076i \(0.218208\pi\)
\(594\) 149499. + 272747.i 0.423706 + 0.773013i
\(595\) 36218.4i 0.102305i
\(596\) 53578.6 65191.2i 0.150834 0.183526i
\(597\) 2160.28 + 108055.i 0.00606125 + 0.303177i
\(598\) −114156. 241585.i −0.319225 0.675565i
\(599\) −122771. + 70881.9i −0.342170 + 0.197552i −0.661231 0.750182i \(-0.729966\pi\)
0.319061 + 0.947734i \(0.396633\pi\)
\(600\) 249872. + 232832.i 0.694089 + 0.646755i
\(601\) 265380. 459652.i 0.734715 1.27256i −0.220133 0.975470i \(-0.570649\pi\)
0.954848 0.297094i \(-0.0960176\pi\)
\(602\) −38424.9 + 466588.i −0.106028 + 1.28748i
\(603\) 281066. 177619.i 0.772990 0.488488i
\(604\) 87488.8 527580.i 0.239816 1.44615i
\(605\) −9239.58 + 16003.4i −0.0252430 + 0.0437222i
\(606\) 226321. 112531.i 0.616281 0.306427i
\(607\) 35215.7 20331.8i 0.0955782 0.0551821i −0.451449 0.892297i \(-0.649093\pi\)
0.547027 + 0.837115i \(0.315759\pi\)
\(608\) 68399.3 + 604011.i 0.185031 + 1.63395i
\(609\) 295570. 178619.i 0.796942 0.481606i
\(610\) 1234.94 + 855.362i 0.00331883 + 0.00229874i
\(611\) 128837.i 0.345110i
\(612\) −61801.5 146483.i −0.165005 0.391098i
\(613\) −498556. −1.32676 −0.663382 0.748281i \(-0.730879\pi\)
−0.663382 + 0.748281i \(0.730879\pi\)
\(614\) −73018.9 + 105422.i −0.193686 + 0.279636i
\(615\) −70533.5 + 128011.i −0.186486 + 0.338451i
\(616\) 342393. 97381.0i 0.902325 0.256633i
\(617\) 45030.4 + 77995.0i 0.118287 + 0.204879i 0.919089 0.394050i \(-0.128926\pi\)
−0.800802 + 0.598929i \(0.795593\pi\)
\(618\) −77121.6 4801.43i −0.201929 0.0125717i
\(619\) −149379. 86244.1i −0.389860 0.225086i 0.292240 0.956345i \(-0.405600\pi\)
−0.682099 + 0.731259i \(0.738933\pi\)
\(620\) 8683.45 52363.5i 0.0225896 0.136221i
\(621\) −332721. + 219689.i −0.862774 + 0.569673i
\(622\) 282828. + 23291.7i 0.731042 + 0.0602034i
\(623\) 143894. + 83077.2i 0.370738 + 0.214045i
\(624\) 268103. + 85490.9i 0.688546 + 0.219559i
\(625\) −165774. 287128.i −0.424380 0.735049i
\(626\) 428633. 202542.i 1.09380 0.516852i
\(627\) 275011. 499114.i 0.699543 1.26959i
\(628\) 172719. 210154.i 0.437946 0.532867i
\(629\) −280838. −0.709831
\(630\) −51280.1 + 80750.9i −0.129201 + 0.203454i
\(631\) 210621.i 0.528985i 0.964388 + 0.264492i \(0.0852044\pi\)
−0.964388 + 0.264492i \(0.914796\pi\)
\(632\) −61535.7 + 63447.8i −0.154061 + 0.158848i
\(633\) −229160. + 138485.i −0.571914 + 0.345618i
\(634\) −487445. + 230332.i −1.21268 + 0.573029i
\(635\) 76930.2 44415.7i 0.190787 0.110151i
\(636\) 253374. + 635744.i 0.626395 + 1.57169i
\(637\) −19430.1 + 33653.9i −0.0478846 + 0.0829385i
\(638\) 312902. + 25768.4i 0.768718 + 0.0633061i
\(639\) 16289.9 + 407238.i 0.0398948 + 0.997347i
\(640\) 50461.3 77837.5i 0.123196 0.190033i
\(641\) 232262. 402289.i 0.565278 0.979089i −0.431746 0.901995i \(-0.642102\pi\)
0.997024 0.0770943i \(-0.0245642\pi\)
\(642\) 275584. 415377.i 0.668627 1.00779i
\(643\) 361978. 208988.i 0.875509 0.505476i 0.00633423 0.999980i \(-0.497984\pi\)
0.869175 + 0.494504i \(0.164650\pi\)
\(644\) 160433. + 427181.i 0.386832 + 1.03001i
\(645\) −2286.13 114350.i −0.00549518 0.274863i
\(646\) −165859. + 239461.i −0.397442 + 0.573811i
\(647\) 825841.i 1.97282i 0.164299 + 0.986411i \(0.447464\pi\)
−0.164299 + 0.986411i \(0.552536\pi\)
\(648\) 69609.3 414094.i 0.165774 0.986164i
\(649\) −229610. −0.545131
\(650\) −238138. 164943.i −0.563639 0.390397i
\(651\) −274927. + 5496.46i −0.648717 + 0.0129694i
\(652\) −461993. + 173507.i −1.08678 + 0.408153i
\(653\) −164273. 284529.i −0.385247 0.667267i 0.606557 0.795040i \(-0.292550\pi\)
−0.991803 + 0.127773i \(0.959217\pi\)
\(654\) −581511. 385807.i −1.35957 0.902016i
\(655\) −41049.6 23700.0i −0.0956811 0.0552415i
\(656\) −694972. 237013.i −1.61495 0.550762i
\(657\) 218943. 8757.93i 0.507225 0.0202895i
\(658\) −18058.5 + 219282.i −0.0417090 + 0.506467i
\(659\) 144939. + 83680.3i 0.333744 + 0.192687i 0.657502 0.753453i \(-0.271613\pi\)
−0.323758 + 0.946140i \(0.604946\pi\)
\(660\) −80783.7 + 32196.2i −0.185454 + 0.0739122i
\(661\) 152616. + 264339.i 0.349300 + 0.605005i 0.986125 0.166003i \(-0.0530862\pi\)
−0.636826 + 0.771008i \(0.719753\pi\)
\(662\) −262732. 556012.i −0.599512 1.26873i
\(663\) 69745.1 + 115411.i 0.158667 + 0.262555i
\(664\) 134044. 138209.i 0.304027 0.313473i
\(665\) 175261. 0.396317
\(666\) −626143. 397626.i −1.41164 0.896451i
\(667\) 402461.i 0.904633i
\(668\) −195287. 160500.i −0.437644 0.359685i
\(669\) 417373. + 229972.i 0.932550 + 0.513833i
\(670\) 39716.3 + 84050.4i 0.0884748 + 0.187236i
\(671\) 6127.32 3537.61i 0.0136090 0.00785715i
\(672\) −444332. 183085.i −0.983942 0.405429i
\(673\) −403032. + 698073.i −0.889836 + 1.54124i −0.0497671 + 0.998761i \(0.515848\pi\)
−0.840069 + 0.542480i \(0.817485\pi\)
\(674\) 7532.41 91465.0i 0.0165811 0.201342i
\(675\) −193304. + 386625.i −0.424261 + 0.848560i
\(676\) 215355. + 35712.5i 0.471262 + 0.0781496i
\(677\) 183117. 317169.i 0.399533 0.692011i −0.594136 0.804365i \(-0.702506\pi\)
0.993668 + 0.112354i \(0.0358390\pi\)
\(678\) 30499.5 489890.i 0.0663489 1.06571i
\(679\) 217400. 125516.i 0.471542 0.272245i
\(680\) 42756.4 12160.5i 0.0924662 0.0262986i
\(681\) 296668. + 163464.i 0.639701 + 0.352474i
\(682\) −205507. 142342.i −0.441833 0.306029i
\(683\) 398332.i 0.853894i −0.904277 0.426947i \(-0.859589\pi\)
0.904277 0.426947i \(-0.140411\pi\)
\(684\) −708833. + 299058.i −1.51507 + 0.639209i
\(685\) −169460. −0.361148
\(686\) −247368. + 357140.i −0.525649 + 0.758911i
\(687\) −266439. 440892.i −0.564526 0.934154i
\(688\) 563715. 111298.i 1.19092 0.235130i
\(689\) −290235. 502701.i −0.611379 1.05894i
\(690\) −49631.8 99818.5i −0.104246 0.209659i
\(691\) 304679. + 175906.i 0.638096 + 0.368405i 0.783881 0.620912i \(-0.213237\pi\)
−0.145785 + 0.989316i \(0.546571\pi\)
\(692\) −742860. 123189.i −1.55130 0.257252i
\(693\) 240678. + 380852.i 0.501152 + 0.793030i
\(694\) −28820.2 2373.42i −0.0598381 0.00492784i
\(695\) −116927. 67507.8i −0.242072 0.139760i
\(696\) −310101. 288953.i −0.640153 0.596498i
\(697\) −175932. 304723.i −0.362143 0.627249i
\(698\) 399866. 188949.i 0.820737 0.387823i
\(699\) 328153. 6560.58i 0.671617 0.0134273i
\(700\) 382194. + 314113.i 0.779987 + 0.641047i
\(701\) −620142. −1.26199 −0.630994 0.775788i \(-0.717353\pi\)
−0.630994 + 0.775788i \(0.717353\pi\)
\(702\) −7905.23 + 356064.i −0.0160413 + 0.722527i
\(703\) 1.35898e6i 2.74980i
\(704\) −229919. 371503.i −0.463906 0.749579i
\(705\) −1074.41 53740.8i −0.00216168 0.108125i
\(706\) −222793. + 105276.i −0.446984 + 0.211213i
\(707\) 317061. 183055.i 0.634314 0.366222i
\(708\) 243365. + 191994.i 0.485503 + 0.383020i
\(709\) −157448. + 272708.i −0.313217 + 0.542508i −0.979057 0.203587i \(-0.934740\pi\)
0.665840 + 0.746095i \(0.268073\pi\)
\(710\) −113569. 9352.70i −0.225290 0.0185533i
\(711\) −99035.9 52015.6i −0.195909 0.102895i
\(712\) 49760.9 197762.i 0.0981585 0.390107i
\(713\) 160228. 277523.i 0.315181 0.545909i
\(714\) −102530. 206207.i −0.201120 0.404489i
\(715\) 63878.0 36880.0i 0.124951 0.0721404i
\(716\) −38130.7 + 14320.4i −0.0743786 + 0.0279338i
\(717\) −403292. + 243717.i −0.784480 + 0.474075i
\(718\) 192370. 277736.i 0.373154 0.538745i
\(719\) 361941.i 0.700132i −0.936725 0.350066i \(-0.886159\pi\)
0.936725 0.350066i \(-0.113841\pi\)
\(720\) 112545. + 33424.4i 0.217101 + 0.0644761i
\(721\) −111926. −0.215308
\(722\) 730221. + 505777.i 1.40081 + 0.970252i
\(723\) −58682.9 + 106503.i −0.112263 + 0.203744i
\(724\) 31932.8 + 85026.6i 0.0609200 + 0.162210i
\(725\) 218164. + 377870.i 0.415056 + 0.718897i
\(726\) 7301.02 117271.i 0.0138519 0.222493i
\(727\) −267542. 154465.i −0.506200 0.292255i 0.225070 0.974343i \(-0.427739\pi\)
−0.731270 + 0.682088i \(0.761072\pi\)
\(728\) 395289. + 99462.6i 0.745852 + 0.187671i
\(729\) 527623. 63587.7i 0.992816 0.119651i
\(730\) −5028.29 + 61057.9i −0.00943572 + 0.114577i
\(731\) 238457. + 137673.i 0.446247 + 0.257641i
\(732\) −9452.46 1373.97i −0.0176410 0.00256422i
\(733\) −441272. 764305.i −0.821293 1.42252i −0.904719 0.426008i \(-0.859920\pi\)
0.0834259 0.996514i \(-0.473414\pi\)
\(734\) 317739. + 672420.i 0.589764 + 1.24810i
\(735\) −7824.08 + 14199.8i −0.0144830 + 0.0262850i
\(736\) 450427. 332821.i 0.831512 0.614406i
\(737\) 437829. 0.806065
\(738\) 39194.3 928491.i 0.0719632 1.70477i
\(739\) 396910.i 0.726781i 0.931637 + 0.363390i \(0.118381\pi\)
−0.931637 + 0.363390i \(0.881619\pi\)
\(740\) 131677. 160217.i 0.240462 0.292580i
\(741\) 558475. 337496.i 1.01711 0.614657i
\(742\) 423522. + 896284.i 0.769250 + 1.62794i
\(743\) 831366. 479989.i 1.50596 0.869469i 0.505988 0.862541i \(-0.331128\pi\)
0.999976 0.00692819i \(-0.00220533\pi\)
\(744\) 98796.3 + 322709.i 0.178482 + 0.582996i
\(745\) −14930.1 + 25859.7i −0.0268999 + 0.0465920i
\(746\) 27935.5 339217.i 0.0501971 0.609536i
\(747\) 215731. + 113306.i 0.386609 + 0.203055i
\(748\) 34250.5 206539.i 0.0612158 0.369147i
\(749\) 361023. 625310.i 0.643534 1.11463i
\(750\) −206861. 137243.i −0.367753 0.243988i
\(751\) 572212. 330367.i 1.01456 0.585756i 0.102036 0.994781i \(-0.467464\pi\)
0.912523 + 0.409025i \(0.134131\pi\)
\(752\) 264929. 52306.4i 0.468482 0.0924952i
\(753\) 20024.1 + 1.00158e6i 0.0353153 + 1.76643i
\(754\) 295538. + 204700.i 0.519841 + 0.360060i
\(755\) 189241.i 0.331987i
\(756\) 63362.7 604917.i 0.110864 1.05841i
\(757\) 326842. 0.570356 0.285178 0.958475i \(-0.407947\pi\)
0.285178 + 0.958475i \(0.407947\pi\)
\(758\) −334762. + 483316.i −0.582636 + 0.841187i
\(759\) −524927. + 10494.6i −0.911203 + 0.0182172i
\(760\) −58844.6 206898.i −0.101878 0.358203i
\(761\) −164813. 285464.i −0.284591 0.492927i 0.687919 0.725788i \(-0.258525\pi\)
−0.972510 + 0.232861i \(0.925191\pi\)
\(762\) −312261. + 470658.i −0.537784 + 0.810580i
\(763\) −875410. 505418.i −1.50370 &min