Properties

Label 36.5.f.a.7.11
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 7.11
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.485844 - 3.97038i) q^{2} +(-4.25251 - 7.93197i) q^{3} +(-15.5279 + 3.85798i) q^{4} +(1.01545 + 1.75881i) q^{5} +(-29.4269 + 20.7378i) q^{6} +(-20.0352 - 11.5673i) q^{7} +(22.8618 + 59.7774i) q^{8} +(-44.8324 + 67.4615i) q^{9} +O(q^{10})\) \(q+(-0.485844 - 3.97038i) q^{2} +(-4.25251 - 7.93197i) q^{3} +(-15.5279 + 3.85798i) q^{4} +(1.01545 + 1.75881i) q^{5} +(-29.4269 + 20.7378i) q^{6} +(-20.0352 - 11.5673i) q^{7} +(22.8618 + 59.7774i) q^{8} +(-44.8324 + 67.4615i) q^{9} +(6.48981 - 4.88624i) q^{10} +(-4.32958 - 2.49968i) q^{11} +(96.6339 + 106.761i) q^{12} +(-137.824 - 238.718i) q^{13} +(-36.1928 + 85.1675i) q^{14} +(9.63264 - 15.5339i) q^{15} +(226.232 - 119.813i) q^{16} -266.009 q^{17} +(289.630 + 145.226i) q^{18} -367.194i q^{19} +(-22.5533 - 23.3931i) q^{20} +(-6.55189 + 208.109i) q^{21} +(-7.82120 + 18.4045i) q^{22} +(544.473 - 314.352i) q^{23} +(376.933 - 435.543i) q^{24} +(310.438 - 537.694i) q^{25} +(-880.842 + 663.194i) q^{26} +(725.753 + 68.7283i) q^{27} +(355.732 + 102.321i) q^{28} +(-319.481 + 553.357i) q^{29} +(-66.3555 - 30.6982i) q^{30} +(-1191.19 + 687.735i) q^{31} +(-585.616 - 840.018i) q^{32} +(-1.41585 + 44.9720i) q^{33} +(129.239 + 1056.16i) q^{34} -46.9843i q^{35} +(435.888 - 1220.50i) q^{36} +1466.19 q^{37} +(-1457.90 + 178.399i) q^{38} +(-1307.41 + 2108.37i) q^{39} +(-81.9222 + 100.911i) q^{40} +(593.019 + 1027.14i) q^{41} +(829.456 - 75.0950i) q^{42} +(-1430.33 - 825.804i) q^{43} +(76.8730 + 22.1114i) q^{44} +(-164.177 - 10.3478i) q^{45} +(-1512.63 - 2009.04i) q^{46} +(-307.864 - 177.745i) q^{47} +(-1912.40 - 1284.96i) q^{48} +(-932.893 - 1615.82i) q^{49} +(-2285.68 - 971.322i) q^{50} +(1131.21 + 2109.98i) q^{51} +(3061.09 + 3175.07i) q^{52} +5297.49 q^{53} +(-79.7250 - 2914.91i) q^{54} -10.1532i q^{55} +(233.424 - 1462.10i) q^{56} +(-2912.57 + 1561.50i) q^{57} +(2352.26 + 999.617i) q^{58} +(5223.32 - 3015.68i) q^{59} +(-89.6454 + 278.371i) q^{60} +(-833.364 + 1443.43i) q^{61} +(3309.31 + 4395.36i) q^{62} +(1678.58 - 833.016i) q^{63} +(-3050.68 + 2733.24i) q^{64} +(279.907 - 484.814i) q^{65} +(179.244 - 16.2279i) q^{66} +(1908.36 - 1101.79i) q^{67} +(4130.57 - 1026.26i) q^{68} +(-4808.81 - 2981.96i) q^{69} +(-186.546 + 22.8270i) q^{70} +524.299i q^{71} +(-5057.62 - 1137.67i) q^{72} -1492.29 q^{73} +(-712.338 - 5821.33i) q^{74} +(-5585.11 - 175.836i) q^{75} +(1416.63 + 5701.76i) q^{76} +(57.8293 + 100.163i) q^{77} +(9006.23 + 4166.58i) q^{78} +(-4448.35 - 2568.25i) q^{79} +(440.456 + 276.236i) q^{80} +(-2541.12 - 6048.92i) q^{81} +(3790.02 - 2853.54i) q^{82} +(-6918.39 - 3994.33i) q^{83} +(-701.143 - 3256.78i) q^{84} +(-270.120 - 467.861i) q^{85} +(-2583.84 + 6080.19i) q^{86} +(5747.81 + 180.958i) q^{87} +(50.4426 - 315.958i) q^{88} -8860.17 q^{89} +(38.6797 + 656.875i) q^{90} +6377.03i q^{91} +(-7241.77 + 6981.79i) q^{92} +(10520.7 + 6523.91i) q^{93} +(-556.144 + 1308.70i) q^{94} +(645.826 - 372.868i) q^{95} +(-4172.66 + 8217.27i) q^{96} +(-3409.33 + 5905.14i) q^{97} +(-5962.18 + 4488.98i) q^{98} +(362.737 - 180.013i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + O(q^{10}) \) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + 28q^{10} - 228q^{12} - 2q^{13} + 252q^{14} - q^{16} - 56q^{17} + 72q^{18} - 140q^{20} + 138q^{21} - 33q^{22} - 951q^{24} - 1752q^{25} + 1096q^{26} - 516q^{28} + 526q^{29} - 1980q^{30} - 121q^{32} + 2994q^{33} + 385q^{34} - 1005q^{36} - 8q^{37} + 1395q^{38} - 2276q^{40} - 2762q^{41} + 3330q^{42} + 6714q^{44} + 4110q^{45} + 3576q^{46} + 2163q^{48} + 3428q^{49} + 6375q^{50} + 1438q^{52} - 10088q^{53} - 4983q^{54} - 7506q^{56} + 1752q^{57} - 4064q^{58} - 16392q^{60} - 2q^{61} - 18324q^{62} + 9026q^{64} - 2014q^{65} - 17358q^{66} - 11405q^{68} + 3354q^{69} + 3666q^{70} + 4083q^{72} - 3416q^{73} + 14620q^{74} + 1581q^{76} - 3942q^{77} + 34566q^{78} + 45520q^{80} - 1164q^{81} - 8486q^{82} + 51078q^{84} - 1252q^{85} + 22113q^{86} + 1995q^{88} + 13048q^{89} - 4692q^{90} - 30294q^{92} + 12090q^{93} + 7524q^{94} - 76164q^{96} + 5638q^{97} - 92938q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.485844 3.97038i −0.121461 0.992596i
\(3\) −4.25251 7.93197i −0.472501 0.881330i
\(4\) −15.5279 + 3.85798i −0.970494 + 0.241124i
\(5\) 1.01545 + 1.75881i 0.0406181 + 0.0703525i 0.885620 0.464411i \(-0.153734\pi\)
−0.845002 + 0.534764i \(0.820401\pi\)
\(6\) −29.4269 + 20.7378i −0.817415 + 0.576050i
\(7\) −20.0352 11.5673i −0.408882 0.236068i 0.281427 0.959583i \(-0.409192\pi\)
−0.690309 + 0.723514i \(0.742526\pi\)
\(8\) 22.8618 + 59.7774i 0.357216 + 0.934022i
\(9\) −44.8324 + 67.4615i −0.553486 + 0.832859i
\(10\) 6.48981 4.88624i 0.0648981 0.0488624i
\(11\) −4.32958 2.49968i −0.0357816 0.0206585i 0.482002 0.876170i \(-0.339910\pi\)
−0.517784 + 0.855511i \(0.673243\pi\)
\(12\) 96.6339 + 106.761i 0.671069 + 0.741395i
\(13\) −137.824 238.718i −0.815527 1.41253i −0.908949 0.416908i \(-0.863114\pi\)
0.0934218 0.995627i \(-0.470219\pi\)
\(14\) −36.1928 + 85.1675i −0.184657 + 0.434528i
\(15\) 9.63264 15.5339i 0.0428117 0.0690395i
\(16\) 226.232 119.813i 0.883719 0.468018i
\(17\) −266.009 −0.920447 −0.460224 0.887803i \(-0.652231\pi\)
−0.460224 + 0.887803i \(0.652231\pi\)
\(18\) 289.630 + 145.226i 0.893919 + 0.448228i
\(19\) 367.194i 1.01716i −0.861015 0.508579i \(-0.830171\pi\)
0.861015 0.508579i \(-0.169829\pi\)
\(20\) −22.5533 23.3931i −0.0563832 0.0584828i
\(21\) −6.55189 + 208.109i −0.0148569 + 0.471902i
\(22\) −7.82120 + 18.4045i −0.0161595 + 0.0380259i
\(23\) 544.473 314.352i 1.02925 0.594238i 0.112481 0.993654i \(-0.464120\pi\)
0.916770 + 0.399416i \(0.130787\pi\)
\(24\) 376.933 435.543i 0.654397 0.756151i
\(25\) 310.438 537.694i 0.496700 0.860310i
\(26\) −880.842 + 663.194i −1.30302 + 0.981057i
\(27\) 725.753 + 68.7283i 0.995546 + 0.0942775i
\(28\) 355.732 + 102.321i 0.453739 + 0.130512i
\(29\) −319.481 + 553.357i −0.379882 + 0.657975i −0.991045 0.133530i \(-0.957369\pi\)
0.611163 + 0.791505i \(0.290702\pi\)
\(30\) −66.3555 30.6982i −0.0737284 0.0341092i
\(31\) −1191.19 + 687.735i −1.23953 + 0.715645i −0.968999 0.247065i \(-0.920534\pi\)
−0.270535 + 0.962710i \(0.587201\pi\)
\(32\) −585.616 840.018i −0.571891 0.820330i
\(33\) −1.41585 + 44.9720i −0.00130014 + 0.0412966i
\(34\) 129.239 + 1056.16i 0.111799 + 0.913633i
\(35\) 46.9843i 0.0383545i
\(36\) 435.888 1220.50i 0.336333 0.941743i
\(37\) 1466.19 1.07099 0.535496 0.844538i \(-0.320125\pi\)
0.535496 + 0.844538i \(0.320125\pi\)
\(38\) −1457.90 + 178.399i −1.00963 + 0.123545i
\(39\) −1307.41 + 2108.37i −0.859572 + 1.38617i
\(40\) −81.9222 + 100.911i −0.0512014 + 0.0630692i
\(41\) 593.019 + 1027.14i 0.352777 + 0.611028i 0.986735 0.162339i \(-0.0519040\pi\)
−0.633958 + 0.773368i \(0.718571\pi\)
\(42\) 829.456 75.0950i 0.470213 0.0425709i
\(43\) −1430.33 825.804i −0.773572 0.446622i 0.0605755 0.998164i \(-0.480706\pi\)
−0.834147 + 0.551542i \(0.814040\pi\)
\(44\) 76.8730 + 22.1114i 0.0397071 + 0.0114212i
\(45\) −164.177 10.3478i −0.0810752 0.00511004i
\(46\) −1512.63 2009.04i −0.714852 0.949453i
\(47\) −307.864 177.745i −0.139368 0.0804642i 0.428695 0.903449i \(-0.358974\pi\)
−0.568063 + 0.822985i \(0.692307\pi\)
\(48\) −1912.40 1284.96i −0.830036 0.557709i
\(49\) −932.893 1615.82i −0.388544 0.672977i
\(50\) −2285.68 971.322i −0.914270 0.388529i
\(51\) 1131.21 + 2109.98i 0.434912 + 0.811218i
\(52\) 3061.09 + 3175.07i 1.13206 + 1.17421i
\(53\) 5297.49 1.88590 0.942950 0.332934i \(-0.108039\pi\)
0.942950 + 0.332934i \(0.108039\pi\)
\(54\) −79.7250 2914.91i −0.0273405 0.999626i
\(55\) 10.1532i 0.00335644i
\(56\) 233.424 1462.10i 0.0744338 0.466232i
\(57\) −2912.57 + 1561.50i −0.896452 + 0.480608i
\(58\) 2352.26 + 999.617i 0.699245 + 0.297151i
\(59\) 5223.32 3015.68i 1.50052 0.866327i 0.500522 0.865724i \(-0.333141\pi\)
1.00000 0.000603027i \(-0.000191950\pi\)
\(60\) −89.6454 + 278.371i −0.0249015 + 0.0773254i
\(61\) −833.364 + 1443.43i −0.223962 + 0.387914i −0.956008 0.293342i \(-0.905233\pi\)
0.732045 + 0.681256i \(0.238566\pi\)
\(62\) 3309.31 + 4395.36i 0.860902 + 1.14343i
\(63\) 1678.58 833.016i 0.422922 0.209880i
\(64\) −3050.68 + 2733.24i −0.744794 + 0.667295i
\(65\) 279.907 484.814i 0.0662502 0.114749i
\(66\) 179.244 16.2279i 0.0411488 0.00372541i
\(67\) 1908.36 1101.79i 0.425119 0.245443i −0.272146 0.962256i \(-0.587733\pi\)
0.697265 + 0.716813i \(0.254400\pi\)
\(68\) 4130.57 1026.26i 0.893289 0.221942i
\(69\) −4808.81 2981.96i −1.01004 0.626332i
\(70\) −186.546 + 22.8270i −0.0380705 + 0.00465858i
\(71\) 524.299i 0.104007i 0.998647 + 0.0520035i \(0.0165607\pi\)
−0.998647 + 0.0520035i \(0.983439\pi\)
\(72\) −5057.62 1137.67i −0.975622 0.219458i
\(73\) −1492.29 −0.280032 −0.140016 0.990149i \(-0.544715\pi\)
−0.140016 + 0.990149i \(0.544715\pi\)
\(74\) −712.338 5821.33i −0.130084 1.06306i
\(75\) −5585.11 175.836i −0.992909 0.0312597i
\(76\) 1416.63 + 5701.76i 0.245261 + 0.987146i
\(77\) 57.8293 + 100.163i 0.00975364 + 0.0168938i
\(78\) 9006.23 + 4166.58i 1.48031 + 0.684842i
\(79\) −4448.35 2568.25i −0.712762 0.411513i 0.0993209 0.995055i \(-0.468333\pi\)
−0.812083 + 0.583542i \(0.801666\pi\)
\(80\) 440.456 + 276.236i 0.0688212 + 0.0431619i
\(81\) −2541.12 6048.92i −0.387307 0.921951i
\(82\) 3790.02 2853.54i 0.563656 0.424382i
\(83\) −6918.39 3994.33i −1.00427 0.579813i −0.0947580 0.995500i \(-0.530208\pi\)
−0.909508 + 0.415687i \(0.863541\pi\)
\(84\) −701.143 3256.78i −0.0993683 0.461561i
\(85\) −270.120 467.861i −0.0373868 0.0647558i
\(86\) −2583.84 + 6080.19i −0.349356 + 0.822092i
\(87\) 5747.81 + 180.958i 0.759388 + 0.0239078i
\(88\) 50.4426 315.958i 0.00651376 0.0408004i
\(89\) −8860.17 −1.11857 −0.559283 0.828977i \(-0.688924\pi\)
−0.559283 + 0.828977i \(0.688924\pi\)
\(90\) 38.6797 + 656.875i 0.00477527 + 0.0810956i
\(91\) 6377.03i 0.770080i
\(92\) −7241.77 + 6981.79i −0.855597 + 0.824881i
\(93\) 10520.7 + 6523.91i 1.21640 + 0.754296i
\(94\) −556.144 + 1308.70i −0.0629407 + 0.148110i
\(95\) 645.826 372.868i 0.0715596 0.0413150i
\(96\) −4172.66 + 8217.27i −0.452763 + 0.891631i
\(97\) −3409.33 + 5905.14i −0.362348 + 0.627606i −0.988347 0.152219i \(-0.951358\pi\)
0.625999 + 0.779824i \(0.284692\pi\)
\(98\) −5962.18 + 4488.98i −0.620802 + 0.467408i
\(99\) 362.737 180.013i 0.0370103 0.0183668i
\(100\) −2746.04 + 9546.92i −0.274604 + 0.954692i
\(101\) −1545.53 + 2676.93i −0.151507 + 0.262418i −0.931782 0.363019i \(-0.881746\pi\)
0.780274 + 0.625437i \(0.215079\pi\)
\(102\) 7827.84 5516.45i 0.752387 0.530224i
\(103\) 9409.35 5432.49i 0.886922 0.512065i 0.0139875 0.999902i \(-0.495547\pi\)
0.872934 + 0.487838i \(0.162214\pi\)
\(104\) 11119.1 13696.3i 1.02802 1.26630i
\(105\) −372.678 + 199.801i −0.0338030 + 0.0181225i
\(106\) −2573.76 21033.1i −0.229063 1.87194i
\(107\) 14106.5i 1.23212i 0.787699 + 0.616060i \(0.211272\pi\)
−0.787699 + 0.616060i \(0.788728\pi\)
\(108\) −11534.6 + 1732.73i −0.988904 + 0.148554i
\(109\) 16328.3 1.37432 0.687160 0.726506i \(-0.258857\pi\)
0.687160 + 0.726506i \(0.258857\pi\)
\(110\) −40.3122 + 4.93288i −0.00333159 + 0.000407676i
\(111\) −6234.97 11629.8i −0.506044 0.943897i
\(112\) −5918.52 216.430i −0.471821 0.0172536i
\(113\) −5911.44 10238.9i −0.462952 0.801857i 0.536154 0.844120i \(-0.319877\pi\)
−0.999107 + 0.0422631i \(0.986543\pi\)
\(114\) 7614.79 + 10805.4i 0.585934 + 0.831440i
\(115\) 1105.77 + 638.418i 0.0836123 + 0.0482736i
\(116\) 2826.03 9825.03i 0.210020 0.730160i
\(117\) 22283.3 + 1404.48i 1.62782 + 0.102599i
\(118\) −14511.1 19273.4i −1.04217 1.38419i
\(119\) 5329.56 + 3077.02i 0.376354 + 0.217288i
\(120\) 1148.80 + 220.682i 0.0797775 + 0.0153251i
\(121\) −7308.00 12657.8i −0.499146 0.864547i
\(122\) 6135.85 + 2607.49i 0.412245 + 0.175188i
\(123\) 5625.42 9071.72i 0.371830 0.599625i
\(124\) 15843.5 15274.7i 1.03040 0.993411i
\(125\) 2530.25 0.161936
\(126\) −4122.92 6259.88i −0.259695 0.394298i
\(127\) 20979.9i 1.30076i 0.759609 + 0.650379i \(0.225390\pi\)
−0.759609 + 0.650379i \(0.774610\pi\)
\(128\) 12334.2 + 10784.4i 0.752817 + 0.658229i
\(129\) −467.746 + 14857.1i −0.0281081 + 0.892802i
\(130\) −2060.89 875.796i −0.121946 0.0518222i
\(131\) −24723.9 + 14274.3i −1.44070 + 0.831789i −0.997896 0.0648298i \(-0.979350\pi\)
−0.442804 + 0.896618i \(0.646016\pi\)
\(132\) −151.516 703.783i −0.00869580 0.0403916i
\(133\) −4247.46 + 7356.81i −0.240119 + 0.415898i
\(134\) −5301.70 7041.62i −0.295261 0.392160i
\(135\) 616.087 + 1346.25i 0.0338045 + 0.0738685i
\(136\) −6081.45 15901.3i −0.328798 0.859718i
\(137\) 309.436 535.959i 0.0164866 0.0285556i −0.857664 0.514210i \(-0.828085\pi\)
0.874151 + 0.485654i \(0.161419\pi\)
\(138\) −9503.22 + 20541.6i −0.499014 + 1.07864i
\(139\) 16819.9 9710.99i 0.870552 0.502613i 0.00302027 0.999995i \(-0.499039\pi\)
0.867532 + 0.497382i \(0.165705\pi\)
\(140\) 181.264 + 729.568i 0.00924818 + 0.0372228i
\(141\) −100.677 + 3197.83i −0.00506400 + 0.160849i
\(142\) 2081.67 254.728i 0.103237 0.0126328i
\(143\) 1378.07i 0.0673903i
\(144\) −2059.77 + 20633.4i −0.0993330 + 0.995054i
\(145\) −1297.67 −0.0617203
\(146\) 725.022 + 5924.98i 0.0340130 + 0.277959i
\(147\) −8849.49 + 14271.0i −0.409528 + 0.660418i
\(148\) −22766.8 + 5656.52i −1.03939 + 0.258241i
\(149\) −309.641 536.313i −0.0139471 0.0241572i 0.858968 0.512030i \(-0.171106\pi\)
−0.872915 + 0.487873i \(0.837773\pi\)
\(150\) 2015.36 + 22260.5i 0.0895715 + 0.989354i
\(151\) 3758.08 + 2169.73i 0.164821 + 0.0951593i 0.580141 0.814516i \(-0.302997\pi\)
−0.415321 + 0.909675i \(0.636331\pi\)
\(152\) 21949.9 8394.72i 0.950048 0.363345i
\(153\) 11925.8 17945.4i 0.509455 0.766603i
\(154\) 369.591 278.268i 0.0155840 0.0117334i
\(155\) −2419.20 1396.72i −0.100695 0.0581362i
\(156\) 12167.3 37782.5i 0.499971 1.55254i
\(157\) 3103.88 + 5376.08i 0.125923 + 0.218105i 0.922093 0.386967i \(-0.126477\pi\)
−0.796170 + 0.605073i \(0.793144\pi\)
\(158\) −8035.75 + 18909.4i −0.321894 + 0.757468i
\(159\) −22527.6 42019.6i −0.891090 1.66210i
\(160\) 882.770 1882.99i 0.0344832 0.0735541i
\(161\) −14544.9 −0.561123
\(162\) −22782.0 + 13028.1i −0.868082 + 0.496420i
\(163\) 15857.0i 0.596824i −0.954437 0.298412i \(-0.903543\pi\)
0.954437 0.298412i \(-0.0964569\pi\)
\(164\) −13171.0 13661.5i −0.489702 0.507937i
\(165\) −80.5351 + 43.1766i −0.00295813 + 0.00158592i
\(166\) −12497.8 + 29409.3i −0.453541 + 1.06725i
\(167\) 362.861 209.498i 0.0130109 0.00751186i −0.493480 0.869757i \(-0.664276\pi\)
0.506491 + 0.862245i \(0.330942\pi\)
\(168\) −12590.0 + 4366.09i −0.446074 + 0.154694i
\(169\) −23710.4 + 41067.7i −0.830169 + 1.43789i
\(170\) −1726.35 + 1299.79i −0.0597353 + 0.0449753i
\(171\) 24771.5 + 16462.2i 0.847149 + 0.562983i
\(172\) 25396.0 + 7304.81i 0.858438 + 0.246918i
\(173\) 9600.40 16628.4i 0.320772 0.555594i −0.659875 0.751375i \(-0.729391\pi\)
0.980648 + 0.195781i \(0.0627242\pi\)
\(174\) −2074.07 22908.9i −0.0685053 0.756670i
\(175\) −12439.4 + 7181.88i −0.406184 + 0.234510i
\(176\) −1278.98 46.7701i −0.0412895 0.00150988i
\(177\) −46132.5 28607.0i −1.47252 0.913115i
\(178\) 4304.66 + 35178.3i 0.135862 + 1.11028i
\(179\) 49821.7i 1.55494i −0.628922 0.777468i \(-0.716504\pi\)
0.628922 0.777468i \(-0.283496\pi\)
\(180\) 2589.25 472.712i 0.0799152 0.0145899i
\(181\) 13970.7 0.426443 0.213222 0.977004i \(-0.431604\pi\)
0.213222 + 0.977004i \(0.431604\pi\)
\(182\) 25319.3 3098.24i 0.764378 0.0935347i
\(183\) 14993.1 + 472.028i 0.447703 + 0.0140950i
\(184\) 31238.8 + 25360.6i 0.922696 + 0.749071i
\(185\) 1488.84 + 2578.75i 0.0435016 + 0.0753469i
\(186\) 20791.0 44940.6i 0.600966 1.29901i
\(187\) 1151.71 + 664.939i 0.0329351 + 0.0190151i
\(188\) 5466.22 + 1572.28i 0.154658 + 0.0444851i
\(189\) −13745.6 9772.02i −0.384805 0.273565i
\(190\) −1794.20 2383.02i −0.0497008 0.0660117i
\(191\) 26994.8 + 15585.5i 0.739969 + 0.427221i 0.822058 0.569404i \(-0.192826\pi\)
−0.0820893 + 0.996625i \(0.526159\pi\)
\(192\) 34653.0 + 12574.8i 0.940023 + 0.341112i
\(193\) −13498.2 23379.5i −0.362377 0.627655i 0.625975 0.779843i \(-0.284701\pi\)
−0.988351 + 0.152189i \(0.951368\pi\)
\(194\) 25102.1 + 10667.4i 0.666970 + 0.283436i
\(195\) −5035.84 158.543i −0.132435 0.00416944i
\(196\) 20719.7 + 21491.2i 0.539350 + 0.559434i
\(197\) 10416.4 0.268402 0.134201 0.990954i \(-0.457153\pi\)
0.134201 + 0.990954i \(0.457153\pi\)
\(198\) −890.956 1352.75i −0.0227261 0.0345054i
\(199\) 8438.68i 0.213093i 0.994308 + 0.106546i \(0.0339793\pi\)
−0.994308 + 0.106546i \(0.966021\pi\)
\(200\) 39239.1 + 6264.51i 0.980978 + 0.156613i
\(201\) −16854.7 10451.7i −0.417185 0.258699i
\(202\) 11379.3 + 4835.76i 0.278878 + 0.118512i
\(203\) 12801.7 7391.09i 0.310654 0.179356i
\(204\) −25705.5 28399.4i −0.617684 0.682415i
\(205\) −1204.36 + 2086.02i −0.0286583 + 0.0496376i
\(206\) −26140.6 34719.4i −0.616000 0.818159i
\(207\) −3203.37 + 50824.2i −0.0747594 + 1.18612i
\(208\) −59781.7 37492.7i −1.38179 0.866602i
\(209\) −917.868 + 1589.79i −0.0210130 + 0.0363956i
\(210\) 974.350 + 1382.60i 0.0220941 + 0.0313515i
\(211\) 19871.6 11472.8i 0.446341 0.257695i −0.259943 0.965624i \(-0.583704\pi\)
0.706284 + 0.707929i \(0.250370\pi\)
\(212\) −82259.0 + 20437.6i −1.83026 + 0.454735i
\(213\) 4158.73 2229.59i 0.0916645 0.0491434i
\(214\) 56008.4 6853.58i 1.22300 0.149655i
\(215\) 3354.25i 0.0725637i
\(216\) 12483.6 + 44954.9i 0.267567 + 0.963539i
\(217\) 31821.1 0.675764
\(218\) −7933.01 64829.6i −0.166926 1.36414i
\(219\) 6345.99 + 11836.8i 0.132316 + 0.246801i
\(220\) 39.1709 + 157.658i 0.000809316 + 0.00325740i
\(221\) 36662.5 + 63501.3i 0.750650 + 1.30016i
\(222\) −43145.4 + 30405.5i −0.875444 + 0.616944i
\(223\) −55651.0 32130.1i −1.11909 0.646105i −0.177919 0.984045i \(-0.556936\pi\)
−0.941167 + 0.337941i \(0.890270\pi\)
\(224\) 2016.17 + 23604.0i 0.0401820 + 0.470423i
\(225\) 22356.0 + 45048.7i 0.441600 + 0.889851i
\(226\) −37780.4 + 28445.2i −0.739690 + 0.556919i
\(227\) −5807.02 3352.69i −0.112694 0.0650641i 0.442593 0.896722i \(-0.354059\pi\)
−0.555288 + 0.831658i \(0.687392\pi\)
\(228\) 39202.0 35483.4i 0.754116 0.682583i
\(229\) −17775.1 30787.4i −0.338955 0.587087i 0.645281 0.763945i \(-0.276740\pi\)
−0.984236 + 0.176858i \(0.943407\pi\)
\(230\) 1997.53 4700.51i 0.0377605 0.0888566i
\(231\) 548.573 884.646i 0.0102804 0.0165785i
\(232\) −40382.2 6447.00i −0.750263 0.119779i
\(233\) 62439.9 1.15014 0.575070 0.818105i \(-0.304975\pi\)
0.575070 + 0.818105i \(0.304975\pi\)
\(234\) −5249.88 89155.6i −0.0958777 1.62823i
\(235\) 721.967i 0.0130732i
\(236\) −69472.8 + 66978.7i −1.24736 + 1.20258i
\(237\) −1454.69 + 46205.7i −0.0258985 + 0.822619i
\(238\) 9627.62 22655.3i 0.169967 0.399960i
\(239\) 3250.59 1876.73i 0.0569070 0.0328553i −0.471277 0.881985i \(-0.656207\pi\)
0.528184 + 0.849130i \(0.322873\pi\)
\(240\) 318.055 4668.38i 0.00552178 0.0810482i
\(241\) 44832.6 77652.3i 0.771898 1.33697i −0.164624 0.986356i \(-0.552641\pi\)
0.936522 0.350610i \(-0.114026\pi\)
\(242\) −46705.9 + 35165.3i −0.797519 + 0.600460i
\(243\) −37173.7 + 45879.2i −0.629541 + 0.776968i
\(244\) 7371.68 25628.5i 0.123819 0.430471i
\(245\) 1894.62 3281.57i 0.0315638 0.0546701i
\(246\) −38751.3 17927.6i −0.640348 0.296246i
\(247\) −87655.9 + 50608.2i −1.43677 + 0.829520i
\(248\) −68343.8 55483.5i −1.11121 0.902112i
\(249\) −2262.44 + 71862.4i −0.0364904 + 1.15905i
\(250\) −1229.31 10046.1i −0.0196689 0.160737i
\(251\) 9246.49i 0.146767i −0.997304 0.0733836i \(-0.976620\pi\)
0.997304 0.0733836i \(-0.0233798\pi\)
\(252\) −22851.0 + 19410.9i −0.359836 + 0.305664i
\(253\) −3143.12 −0.0491043
\(254\) 83298.4 10193.0i 1.29113 0.157992i
\(255\) −2562.37 + 4132.16i −0.0394060 + 0.0635473i
\(256\) 36825.9 54210.9i 0.561918 0.827193i
\(257\) −7624.85 13206.6i −0.115442 0.199952i 0.802514 0.596633i \(-0.203495\pi\)
−0.917956 + 0.396681i \(0.870162\pi\)
\(258\) 59215.7 5361.11i 0.889605 0.0805407i
\(259\) −29375.4 16959.9i −0.437909 0.252827i
\(260\) −2475.97 + 8608.02i −0.0366268 + 0.127338i
\(261\) −23007.2 46361.0i −0.337741 0.680568i
\(262\) 68686.5 + 91228.1i 1.00062 + 1.32900i
\(263\) 89478.0 + 51660.2i 1.29361 + 0.746869i 0.979293 0.202448i \(-0.0648896\pi\)
0.314322 + 0.949317i \(0.398223\pi\)
\(264\) −2720.68 + 943.505i −0.0390364 + 0.0135374i
\(265\) 5379.35 + 9317.30i 0.0766016 + 0.132678i
\(266\) 31273.0 + 13289.8i 0.441983 + 0.187825i
\(267\) 37677.9 + 70278.6i 0.528524 + 0.985826i
\(268\) −25382.2 + 24470.9i −0.353394 + 0.340707i
\(269\) −86017.8 −1.18873 −0.594366 0.804195i \(-0.702597\pi\)
−0.594366 + 0.804195i \(0.702597\pi\)
\(270\) 5045.83 3100.17i 0.0692157 0.0425263i
\(271\) 15629.0i 0.212810i 0.994323 + 0.106405i \(0.0339340\pi\)
−0.994323 + 0.106405i \(0.966066\pi\)
\(272\) −60179.8 + 31871.3i −0.813417 + 0.430786i
\(273\) 50582.4 27118.4i 0.678695 0.363863i
\(274\) −2278.30 968.188i −0.0303466 0.0128961i
\(275\) −2688.13 + 1551.99i −0.0355455 + 0.0205222i
\(276\) 86175.1 + 27751.4i 1.13126 + 0.364306i
\(277\) 28307.3 49029.7i 0.368926 0.638998i −0.620472 0.784228i \(-0.713059\pi\)
0.989398 + 0.145231i \(0.0463924\pi\)
\(278\) −46728.2 62063.6i −0.604630 0.803059i
\(279\) 7008.29 111192.i 0.0900334 1.42846i
\(280\) 2808.60 1074.15i 0.0358240 0.0137008i
\(281\) −55533.5 + 96186.8i −0.703303 + 1.21816i 0.263998 + 0.964523i \(0.414959\pi\)
−0.967301 + 0.253633i \(0.918374\pi\)
\(282\) 12745.5 1153.92i 0.160273 0.0145104i
\(283\) 78979.6 45598.9i 0.986148 0.569353i 0.0820271 0.996630i \(-0.473861\pi\)
0.904121 + 0.427278i \(0.140527\pi\)
\(284\) −2022.73 8141.27i −0.0250785 0.100938i
\(285\) −5703.95 3537.05i −0.0702241 0.0435463i
\(286\) 5471.45 669.525i 0.0668914 0.00818530i
\(287\) 27438.6i 0.333118i
\(288\) 82923.4 1846.57i 0.999752 0.0222628i
\(289\) −12760.0 −0.152776
\(290\) 630.465 + 5152.25i 0.00749661 + 0.0612633i
\(291\) 61337.6 + 1931.09i 0.724338 + 0.0228043i
\(292\) 23172.2 5757.23i 0.271770 0.0675224i
\(293\) −41507.5 71893.1i −0.483494 0.837436i 0.516326 0.856392i \(-0.327299\pi\)
−0.999820 + 0.0189556i \(0.993966\pi\)
\(294\) 60960.7 + 28202.4i 0.705270 + 0.326281i
\(295\) 10608.0 + 6124.56i 0.121897 + 0.0703770i
\(296\) 33519.7 + 87644.8i 0.382575 + 1.00033i
\(297\) −2970.40 2111.72i −0.0336746 0.0239399i
\(298\) −1978.93 + 1489.96i −0.0222843 + 0.0167780i
\(299\) −150083. 86650.5i −1.67876 0.969234i
\(300\) 87403.5 18816.9i 0.971150 0.209076i
\(301\) 19104.7 + 33090.3i 0.210866 + 0.365231i
\(302\) 6788.81 15975.2i 0.0744355 0.175159i
\(303\) 27805.7 + 875.407i 0.302865 + 0.00953508i
\(304\) −43994.5 83071.0i −0.476048 0.898882i
\(305\) −3384.96 −0.0363876
\(306\) −77044.2 38631.4i −0.822806 0.412570i
\(307\) 65201.8i 0.691803i −0.938271 0.345902i \(-0.887573\pi\)
0.938271 0.345902i \(-0.112427\pi\)
\(308\) −1284.40 1332.22i −0.0135393 0.0140435i
\(309\) −83103.7 51533.0i −0.870369 0.539720i
\(310\) −4370.18 + 10283.7i −0.0454753 + 0.107011i
\(311\) 115786. 66849.3i 1.19712 0.691156i 0.237206 0.971459i \(-0.423768\pi\)
0.959911 + 0.280303i \(0.0904350\pi\)
\(312\) −155922. 29952.4i −1.60177 0.307697i
\(313\) −5620.04 + 9734.19i −0.0573655 + 0.0993599i −0.893282 0.449497i \(-0.851603\pi\)
0.835917 + 0.548857i \(0.184937\pi\)
\(314\) 19837.1 14935.5i 0.201196 0.151482i
\(315\) 3169.63 + 2106.42i 0.0319439 + 0.0212287i
\(316\) 78981.8 + 22718.0i 0.790957 + 0.227508i
\(317\) 19603.1 33953.5i 0.195077 0.337883i −0.751849 0.659336i \(-0.770838\pi\)
0.946926 + 0.321452i \(0.104171\pi\)
\(318\) −155889. + 109858.i −1.54156 + 1.08637i
\(319\) 2766.43 1597.20i 0.0271856 0.0156956i
\(320\) −7905.07 2590.10i −0.0771979 0.0252939i
\(321\) 111893. 59988.2i 1.08590 0.582178i
\(322\) 7066.54 + 57748.7i 0.0681546 + 0.556968i
\(323\) 97677.0i 0.936240i
\(324\) 62794.9 + 84123.5i 0.598183 + 0.801359i
\(325\) −171143. −1.62029
\(326\) −62958.4 + 7704.04i −0.592405 + 0.0724908i
\(327\) −69436.2 129516.i −0.649367 1.21123i
\(328\) −47842.2 + 58931.4i −0.444696 + 0.547771i
\(329\) 4112.08 + 7122.34i 0.0379901 + 0.0658007i
\(330\) 210.555 + 298.778i 0.00193347 + 0.00274360i
\(331\) 64736.6 + 37375.7i 0.590873 + 0.341141i 0.765443 0.643504i \(-0.222520\pi\)
−0.174570 + 0.984645i \(0.555853\pi\)
\(332\) 122838. + 35332.7i 1.11444 + 0.320553i
\(333\) −65732.6 + 98911.2i −0.592779 + 0.891984i
\(334\) −1008.08 1338.92i −0.00903656 0.0120022i
\(335\) 3875.69 + 2237.63i 0.0345350 + 0.0199388i
\(336\) 23451.8 + 47865.9i 0.207730 + 0.423982i
\(337\) 70909.1 + 122818.i 0.624370 + 1.08144i 0.988662 + 0.150156i \(0.0479775\pi\)
−0.364293 + 0.931285i \(0.618689\pi\)
\(338\) 174574. + 74187.1i 1.52808 + 0.649374i
\(339\) −56076.3 + 90430.4i −0.487955 + 0.786892i
\(340\) 5999.39 + 6222.78i 0.0518978 + 0.0538303i
\(341\) 6876.48 0.0591367
\(342\) 53326.1 106350.i 0.455919 0.909257i
\(343\) 98710.7i 0.839027i
\(344\) 16664.4 104381.i 0.140823 0.882073i
\(345\) 361.608 11485.8i 0.00303809 0.0964994i
\(346\) −70685.3 30038.5i −0.590442 0.250914i
\(347\) −158508. + 91514.6i −1.31641 + 0.760032i −0.983150 0.182802i \(-0.941483\pi\)
−0.333264 + 0.942834i \(0.608150\pi\)
\(348\) −89949.6 + 19365.0i −0.742747 + 0.159904i
\(349\) −67279.0 + 116531.i −0.552368 + 0.956729i 0.445735 + 0.895165i \(0.352942\pi\)
−0.998103 + 0.0615644i \(0.980391\pi\)
\(350\) 34558.4 + 45899.8i 0.282110 + 0.374693i
\(351\) −83619.5 182723.i −0.678724 1.48313i
\(352\) 435.691 + 5100.77i 0.00351636 + 0.0411671i
\(353\) 100139. 173446.i 0.803626 1.39192i −0.113589 0.993528i \(-0.536235\pi\)
0.917215 0.398393i \(-0.130432\pi\)
\(354\) −91167.5 + 197062.i −0.727501 + 1.57252i
\(355\) −922.144 + 532.400i −0.00731715 + 0.00422456i
\(356\) 137580. 34182.3i 1.08556 0.269713i
\(357\) 1742.86 55358.9i 0.0136750 0.434361i
\(358\) −197811. + 24205.6i −1.54342 + 0.188864i
\(359\) 161179.i 1.25060i 0.780385 + 0.625300i \(0.215023\pi\)
−0.780385 + 0.625300i \(0.784977\pi\)
\(360\) −3134.82 10050.7i −0.0241884 0.0775514i
\(361\) −4510.46 −0.0346104
\(362\) −6787.59 55469.1i −0.0517962 0.423286i
\(363\) −69324.2 + 111794.i −0.526104 + 0.848412i
\(364\) −24602.4 99022.0i −0.185684 0.747358i
\(365\) −1515.35 2624.66i −0.0113744 0.0197010i
\(366\) −5410.19 59757.8i −0.0403878 0.446100i
\(367\) 172828. + 99782.5i 1.28317 + 0.740836i 0.977426 0.211279i \(-0.0677627\pi\)
0.305740 + 0.952115i \(0.401096\pi\)
\(368\) 85514.0 136351.i 0.631454 1.00685i
\(369\) −95878.8 6043.09i −0.704158 0.0443820i
\(370\) 9515.28 7164.14i 0.0695053 0.0523312i
\(371\) −106136. 61277.9i −0.771111 0.445201i
\(372\) −188533. 60714.2i −1.36239 0.438737i
\(373\) 2894.35 + 5013.15i 0.0208033 + 0.0360324i 0.876240 0.481876i \(-0.160044\pi\)
−0.855436 + 0.517908i \(0.826711\pi\)
\(374\) 2080.51 4895.78i 0.0148740 0.0350008i
\(375\) −10759.9 20069.9i −0.0765149 0.142719i
\(376\) 3586.83 22466.9i 0.0253709 0.158916i
\(377\) 176129. 1.23922
\(378\) −32120.4 + 59323.1i −0.224801 + 0.415183i
\(379\) 217930.i 1.51719i −0.651565 0.758593i \(-0.725887\pi\)
0.651565 0.758593i \(-0.274113\pi\)
\(380\) −8589.81 + 8281.44i −0.0594862 + 0.0573507i
\(381\) 166412. 89217.4i 1.14640 0.614610i
\(382\) 48765.0 114752.i 0.334181 0.786381i
\(383\) 60187.2 34749.1i 0.410305 0.236890i −0.280616 0.959820i \(-0.590539\pi\)
0.690921 + 0.722930i \(0.257205\pi\)
\(384\) 33090.7 143695.i 0.224411 0.974495i
\(385\) −117.446 + 203.422i −0.000792348 + 0.00137239i
\(386\) −86267.6 + 64951.7i −0.578993 + 0.435929i
\(387\) 119835. 59469.8i 0.800134 0.397077i
\(388\) 30157.9 104848.i 0.200326 0.696458i
\(389\) −28733.0 + 49767.0i −0.189881 + 0.328884i −0.945210 0.326462i \(-0.894144\pi\)
0.755329 + 0.655345i \(0.227477\pi\)
\(390\) 1817.15 + 20071.2i 0.0119471 + 0.131961i
\(391\) −144835. + 83620.5i −0.947371 + 0.546965i
\(392\) 75261.8 92706.5i 0.489782 0.603306i
\(393\) 218362. + 135407.i 1.41381 + 0.876712i
\(394\) −5060.76 41357.2i −0.0326004 0.266415i
\(395\) 10431.7i 0.0668595i
\(396\) −4938.07 + 4194.66i −0.0314896 + 0.0267489i
\(397\) 13255.8 0.0841056 0.0420528 0.999115i \(-0.486610\pi\)
0.0420528 + 0.999115i \(0.486610\pi\)
\(398\) 33504.8 4099.89i 0.211515 0.0258825i
\(399\) 76416.4 + 2405.82i 0.479999 + 0.0151118i
\(400\) 5808.42 158838.i 0.0363026 0.992737i
\(401\) 2687.66 + 4655.16i 0.0167142 + 0.0289498i 0.874262 0.485455i \(-0.161346\pi\)
−0.857547 + 0.514405i \(0.828013\pi\)
\(402\) −33308.4 + 71997.5i −0.206111 + 0.445518i
\(403\) 328350. + 189573.i 2.02175 + 1.16726i
\(404\) 13671.3 47529.7i 0.0837618 0.291208i
\(405\) 8058.54 10611.7i 0.0491299 0.0646959i
\(406\) −35565.1 47236.9i −0.215761 0.286569i
\(407\) −6347.97 3665.00i −0.0383218 0.0221251i
\(408\) −100268. + 115859.i −0.602338 + 0.695997i
\(409\) 120347. + 208446.i 0.719427 + 1.24608i 0.961227 + 0.275758i \(0.0889289\pi\)
−0.241800 + 0.970326i \(0.577738\pi\)
\(410\) 8867.43 + 3768.31i 0.0527509 + 0.0224170i
\(411\) −5567.10 175.269i −0.0329568 0.00103758i
\(412\) −125149. + 120656.i −0.737282 + 0.710814i
\(413\) −139534. −0.818049
\(414\) 203348. 11974.0i 1.18642 0.0698618i
\(415\) 16224.2i 0.0942035i
\(416\) −119816. + 255572.i −0.692352 + 1.47682i
\(417\) −148554. 92119.2i −0.854305 0.529758i
\(418\) 6758.04 + 2871.90i 0.0386784 + 0.0164368i
\(419\) −30669.6 + 17707.1i −0.174695 + 0.100860i −0.584798 0.811179i \(-0.698826\pi\)
0.410103 + 0.912039i \(0.365493\pi\)
\(420\) 5016.08 4540.28i 0.0284358 0.0257385i
\(421\) 82548.0 142977.i 0.465739 0.806683i −0.533496 0.845803i \(-0.679122\pi\)
0.999235 + 0.0391198i \(0.0124554\pi\)
\(422\) −55206.1 73323.7i −0.310000 0.411737i
\(423\) 25793.3 12800.2i 0.144154 0.0715381i
\(424\) 121110. + 316670.i 0.673673 + 1.76147i
\(425\) −82579.3 + 143032.i −0.457187 + 0.791870i
\(426\) −10872.8 15428.5i −0.0599132 0.0850168i
\(427\) 33393.2 19279.6i 0.183148 0.105741i
\(428\) −54422.7 219045.i −0.297093 1.19577i
\(429\) 10930.8 5860.23i 0.0593931 0.0318420i
\(430\) −13317.7 + 1629.65i −0.0720264 + 0.00881366i
\(431\) 161673.i 0.870327i 0.900351 + 0.435163i \(0.143309\pi\)
−0.900351 + 0.435163i \(0.856691\pi\)
\(432\) 172423. 71405.8i 0.923906 0.382619i
\(433\) −61835.3 −0.329808 −0.164904 0.986310i \(-0.552731\pi\)
−0.164904 + 0.986310i \(0.552731\pi\)
\(434\) −15460.1 126342.i −0.0820791 0.670761i
\(435\) 5518.35 + 10293.1i 0.0291629 + 0.0543960i
\(436\) −253544. + 62994.2i −1.33377 + 0.331381i
\(437\) −115428. 199927.i −0.604434 1.04691i
\(438\) 43913.6 30946.9i 0.228903 0.161313i
\(439\) −268021. 154742.i −1.39072 0.802933i −0.397326 0.917677i \(-0.630062\pi\)
−0.993395 + 0.114744i \(0.963395\pi\)
\(440\) 606.933 232.121i 0.00313499 0.00119897i
\(441\) 150829. + 9506.54i 0.775548 + 0.0488816i
\(442\) 234312. 176416.i 1.19936 0.903011i
\(443\) 40615.5 + 23449.4i 0.206959 + 0.119488i 0.599897 0.800077i \(-0.295208\pi\)
−0.392938 + 0.919565i \(0.628541\pi\)
\(444\) 141683. + 156531.i 0.718709 + 0.794027i
\(445\) −8997.07 15583.4i −0.0454340 0.0786940i
\(446\) −100531. + 236566.i −0.505396 + 1.18928i
\(447\) −2937.27 + 4736.74i −0.0147004 + 0.0237063i
\(448\) 92737.3 19472.8i 0.462060 0.0970226i
\(449\) −124857. −0.619328 −0.309664 0.950846i \(-0.600217\pi\)
−0.309664 + 0.950846i \(0.600217\pi\)
\(450\) 167999. 110649.i 0.829625 0.546413i
\(451\) 5929.43i 0.0291514i
\(452\) 131294. + 136183.i 0.642639 + 0.666569i
\(453\) 1228.96 39035.8i 0.00598883 0.190224i
\(454\) −10490.1 + 24685.0i −0.0508944 + 0.119763i
\(455\) −11216.0 + 6475.56i −0.0541771 + 0.0312791i
\(456\) −159929. 138407.i −0.769125 0.665625i
\(457\) 62748.5 108684.i 0.300449 0.520393i −0.675789 0.737095i \(-0.736197\pi\)
0.976238 + 0.216703i \(0.0695302\pi\)
\(458\) −113602. + 85532.1i −0.541571 + 0.407754i
\(459\) −193057. 18282.4i −0.916348 0.0867775i
\(460\) −19633.3 5647.25i −0.0927852 0.0266883i
\(461\) −51647.4 + 89455.9i −0.243022 + 0.420927i −0.961574 0.274547i \(-0.911472\pi\)
0.718551 + 0.695474i \(0.244806\pi\)
\(462\) −3778.91 1748.25i −0.0177044 0.00819066i
\(463\) −277564. + 160252.i −1.29480 + 0.747552i −0.979501 0.201442i \(-0.935437\pi\)
−0.315297 + 0.948993i \(0.602104\pi\)
\(464\) −5977.62 + 163465.i −0.0277646 + 0.759257i
\(465\) −791.122 + 25128.6i −0.00365879 + 0.116215i
\(466\) −30336.1 247910.i −0.139697 1.14162i
\(467\) 427381.i 1.95967i −0.199820 0.979833i \(-0.564036\pi\)
0.199820 0.979833i \(-0.435964\pi\)
\(468\) −351431. + 64159.8i −1.60453 + 0.292935i
\(469\) −50979.2 −0.231765
\(470\) −2866.49 + 350.764i −0.0129764 + 0.00158788i
\(471\) 29443.6 47481.7i 0.132724 0.214035i
\(472\) 299684. + 243292.i 1.34518 + 1.09205i
\(473\) 4128.49 + 7150.76i 0.0184531 + 0.0319617i
\(474\) 184161. 16673.1i 0.819674 0.0742094i
\(475\) −197438. 113991.i −0.875071 0.505223i
\(476\) −94627.9 27218.4i −0.417643 0.120129i
\(477\) −237499. + 357377.i −1.04382 + 1.57069i
\(478\) −9030.61 11994.3i −0.0395240 0.0524951i
\(479\) 166330. + 96030.5i 0.724935 + 0.418541i 0.816566 0.577252i \(-0.195875\pi\)
−0.0916316 + 0.995793i \(0.529208\pi\)
\(480\) −18689.8 + 1005.30i −0.0811188 + 0.00436330i
\(481\) −202076. 350006.i −0.873422 1.51281i
\(482\) −330091. 140276.i −1.42082 0.603793i
\(483\) 61852.1 + 115369.i 0.265131 + 0.494534i
\(484\) 162312. + 168356.i 0.692882 + 0.718682i
\(485\) −13848.1 −0.0588715
\(486\) 200219. + 125304.i 0.847680 + 0.530508i
\(487\) 52885.1i 0.222985i −0.993765 0.111492i \(-0.964437\pi\)
0.993765 0.111492i \(-0.0355631\pi\)
\(488\) −105337. 16816.9i −0.442323 0.0706167i
\(489\) −125777. + 67432.0i −0.525999 + 0.282000i
\(490\) −13949.6 5928.02i −0.0580991 0.0246898i
\(491\) −6368.89 + 3677.08i −0.0264180 + 0.0152525i −0.513151 0.858298i \(-0.671522\pi\)
0.486733 + 0.873551i \(0.338189\pi\)
\(492\) −52352.5 + 162568.i −0.216275 + 0.671590i
\(493\) 84984.9 147198.i 0.349662 0.605632i
\(494\) 243521. + 323440.i 0.997890 + 1.32538i
\(495\) 684.952 + 455.193i 0.00279544 + 0.00185774i
\(496\) −187086. + 298308.i −0.760465 + 1.21255i
\(497\) 6064.75 10504.4i 0.0245527 0.0425266i
\(498\) 286420. 25931.2i 1.15490 0.104559i
\(499\) 359442. 207524.i 1.44354 0.833426i 0.445452 0.895306i \(-0.353043\pi\)
0.998084 + 0.0618804i \(0.0197097\pi\)
\(500\) −39289.5 + 9761.65i −0.157158 + 0.0390466i
\(501\) −3204.80 1987.31i −0.0127681 0.00791756i
\(502\) −36712.1 + 4492.35i −0.145681 + 0.0178265i
\(503\) 53242.3i 0.210436i −0.994449 0.105218i \(-0.966446\pi\)
0.994449 0.105218i \(-0.0335541\pi\)
\(504\) 88170.8 + 81296.7i 0.347107 + 0.320046i
\(505\) −6277.63 −0.0246157
\(506\) 1527.07 + 12479.4i 0.00596426 + 0.0487408i
\(507\) 426577. + 13429.9i 1.65952 + 0.0522465i
\(508\) −80940.1 325775.i −0.313644 1.26238i
\(509\) 248630. + 430640.i 0.959662 + 1.66218i 0.723319 + 0.690515i \(0.242616\pi\)
0.236344 + 0.971669i \(0.424051\pi\)
\(510\) 17651.2 + 8166.02i 0.0678631 + 0.0313957i
\(511\) 29898.4 + 17261.9i 0.114500 + 0.0661068i
\(512\) −233130. 119875.i −0.889320 0.457286i
\(513\) 25236.6 266492.i 0.0958952 1.01263i
\(514\) −48730.9 + 36689.9i −0.184450 + 0.138874i
\(515\) 19109.5 + 11032.9i 0.0720501 + 0.0415981i
\(516\) −50055.3 232504.i −0.187997 0.873236i
\(517\) 888.614 + 1539.12i 0.00332454 + 0.00575828i
\(518\) −53065.4 + 124871.i −0.197766 + 0.465375i
\(519\) −172722. 5437.79i −0.641227 0.0201877i
\(520\) 35380.1 + 5648.42i 0.130843 + 0.0208891i
\(521\) −58965.8 −0.217233 −0.108616 0.994084i \(-0.534642\pi\)
−0.108616 + 0.994084i \(0.534642\pi\)
\(522\) −172893. + 113872.i −0.634507 + 0.417903i
\(523\) 117488.i 0.429527i −0.976666 0.214763i \(-0.931102\pi\)
0.976666 0.214763i \(-0.0688980\pi\)
\(524\) 328840. 317035.i 1.19763 1.15463i
\(525\) 109865. + 68127.8i 0.398603 + 0.247176i
\(526\) 161638. 380361.i 0.584215 1.37475i
\(527\) 316868. 182944.i 1.14093 0.658714i
\(528\) 5067.90 + 10343.7i 0.0181786 + 0.0371031i
\(529\) 57713.8 99963.2i 0.206238 0.357214i
\(530\) 34379.8 25884.8i 0.122391 0.0921497i
\(531\) −30731.0 + 487573.i −0.108990 + 1.72922i
\(532\) 37571.7 130623.i 0.132751 0.461525i
\(533\) 163465. 283129.i 0.575399 0.996620i
\(534\) 260727. 183740.i 0.914333 0.644350i
\(535\) −24810.8 + 14324.5i −0.0866828 + 0.0500463i
\(536\) 109491. + 88887.9i 0.381108 + 0.309395i
\(537\) −395185. + 211867.i −1.37041 + 0.734709i
\(538\) 41791.3 + 341524.i 0.144385 + 1.17993i
\(539\) 9327.75i 0.0321070i
\(540\) −14760.4 18527.7i −0.0506185 0.0635380i
\(541\) −16461.8 −0.0562448 −0.0281224 0.999604i \(-0.508953\pi\)
−0.0281224 + 0.999604i \(0.508953\pi\)
\(542\) 62053.1 7593.26i 0.211235 0.0258482i
\(543\) −59410.5 110815.i −0.201495 0.375837i
\(544\) 155779. + 223453.i 0.526395 + 0.755071i
\(545\) 16580.6 + 28718.4i 0.0558222 + 0.0966869i
\(546\) −132246. 187656.i −0.443604 0.629474i
\(547\) −337391. 194793.i −1.12761 0.651026i −0.184277 0.982874i \(-0.558994\pi\)
−0.943333 + 0.331848i \(0.892328\pi\)
\(548\) −2737.18 + 9516.13i −0.00911470 + 0.0316883i
\(549\) −60014.2 120932.i −0.199118 0.401234i
\(550\) 7468.01 + 9918.87i 0.0246876 + 0.0327897i
\(551\) 203189. + 117312.i 0.669265 + 0.386400i
\(552\) 68316.1 355631.i 0.224205 1.16714i
\(553\) 59415.7 + 102911.i 0.194290 + 0.336521i
\(554\) −208420. 88570.1i −0.679077 0.288581i
\(555\) 14123.3 22775.6i 0.0458510 0.0739407i
\(556\) −223714. + 215682.i −0.723674 + 0.697694i
\(557\) 434133. 1.39931 0.699653 0.714483i \(-0.253338\pi\)
0.699653 + 0.714483i \(0.253338\pi\)
\(558\) −444882. + 26196.6i −1.42882 + 0.0841350i
\(559\) 455263.i 1.45693i
\(560\) −5629.31 10629.3i −0.0179506 0.0338946i
\(561\) 376.630 11963.0i 0.00119671 0.0380113i
\(562\) 408879. + 173758.i 1.29456 + 0.550137i
\(563\) −192477. + 111127.i −0.607244 + 0.350592i −0.771886 0.635761i \(-0.780686\pi\)
0.164642 + 0.986353i \(0.447353\pi\)
\(564\) −10773.9 50044.1i −0.0338698 0.157324i
\(565\) 12005.6 20794.2i 0.0376084 0.0651397i
\(566\) −219417. 291425.i −0.684916 0.909692i
\(567\) −19058.0 + 150585.i −0.0592805 + 0.468400i
\(568\) −31341.2 + 11986.4i −0.0971448 + 0.0371529i
\(569\) −1962.56 + 3399.25i −0.00606175 + 0.0104993i −0.869040 0.494741i \(-0.835263\pi\)
0.862979 + 0.505240i \(0.168596\pi\)
\(570\) −11272.2 + 24365.3i −0.0346944 + 0.0749934i
\(571\) −331554. + 191423.i −1.01691 + 0.587112i −0.913207 0.407496i \(-0.866402\pi\)
−0.103702 + 0.994608i \(0.533069\pi\)
\(572\) −5316.54 21398.5i −0.0162494 0.0654020i
\(573\) 8827.80 280399.i 0.0268871 0.854019i
\(574\) −108942. + 13330.9i −0.330652 + 0.0404609i
\(575\) 390347.i 1.18063i
\(576\) −47619.5 328341.i −0.143529 0.989646i
\(577\) 18219.2 0.0547239 0.0273620 0.999626i \(-0.491289\pi\)
0.0273620 + 0.999626i \(0.491289\pi\)
\(578\) 6199.39 + 50662.3i 0.0185564 + 0.151645i
\(579\) −128045. + 206489.i −0.381948 + 0.615941i
\(580\) 20150.1 5006.38i 0.0598992 0.0148822i
\(581\) 92407.6 + 160055.i 0.273751 + 0.474150i
\(582\) −22133.4 244472.i −0.0653433 0.721745i
\(583\) −22935.9 13242.0i −0.0674806 0.0389599i
\(584\) −34116.5 89205.4i −0.100032 0.261556i
\(585\) 20157.4 + 40618.3i 0.0589009 + 0.118689i
\(586\) −265277. + 199730.i −0.772510 + 0.581630i
\(587\) −45835.0 26462.8i −0.133021 0.0767998i 0.432013 0.901868i \(-0.357804\pi\)
−0.565034 + 0.825068i \(0.691137\pi\)
\(588\) 82357.1 255739.i 0.238202 0.739678i
\(589\) 252532. + 437399.i 0.727924 + 1.26080i
\(590\) 19163.0 45093.6i 0.0550503 0.129542i
\(591\) −44295.9 82622.8i −0.126820 0.236551i
\(592\) 331698. 175668.i 0.946455 0.501243i
\(593\) 216280. 0.615046 0.307523 0.951541i \(-0.400500\pi\)
0.307523 + 0.951541i \(0.400500\pi\)
\(594\) −6941.17 + 12819.6i −0.0196725 + 0.0363331i
\(595\) 12498.3i 0.0353033i
\(596\) 6877.16 + 7133.24i 0.0193605 + 0.0200814i
\(597\) 66935.4 35885.6i 0.187805 0.100686i
\(598\) −271119. + 637986.i −0.758154 + 1.78406i
\(599\) −260151. + 150198.i −0.725057 + 0.418612i −0.816611 0.577188i \(-0.804150\pi\)
0.0915543 + 0.995800i \(0.470816\pi\)
\(600\) −117175. 337883.i −0.325485 0.938565i
\(601\) −255485. + 442514.i −0.707322 + 1.22512i 0.258525 + 0.966005i \(0.416764\pi\)
−0.965847 + 0.259113i \(0.916570\pi\)
\(602\) 122099. 91929.8i 0.336915 0.253667i
\(603\) −11227.7 + 178137.i −0.0308785 + 0.489913i
\(604\) −66725.9 19192.8i −0.182903 0.0526094i
\(605\) 14841.8 25706.8i 0.0405487 0.0702324i
\(606\) −10033.5 110825.i −0.0273218 0.301780i
\(607\) 154217. 89037.5i 0.418558 0.241655i −0.275902 0.961186i \(-0.588976\pi\)
0.694460 + 0.719531i \(0.255643\pi\)
\(608\) −308450. + 215035.i −0.834405 + 0.581703i
\(609\) −113065. 70112.4i −0.304856 0.189043i
\(610\) 1644.56 + 13439.6i 0.00441968 + 0.0361182i
\(611\) 97990.4i 0.262483i
\(612\) −115950. + 324664.i −0.309577 + 0.866825i
\(613\) 570495. 1.51821 0.759103 0.650970i \(-0.225638\pi\)
0.759103 + 0.650970i \(0.225638\pi\)
\(614\) −258876. + 31677.9i −0.686681 + 0.0840272i
\(615\) 21667.8 + 682.167i 0.0572881 + 0.00180360i
\(616\) −4665.42 + 5746.80i −0.0122950 + 0.0151448i
\(617\) −107951. 186976.i −0.283567 0.491153i 0.688694 0.725052i \(-0.258185\pi\)
−0.972261 + 0.233900i \(0.924851\pi\)
\(618\) −164230. + 354991.i −0.430008 + 0.929480i
\(619\) 158318. + 91404.9i 0.413189 + 0.238555i 0.692159 0.721745i \(-0.256660\pi\)
−0.278970 + 0.960300i \(0.589993\pi\)
\(620\) 42953.6 + 12355.0i 0.111742 + 0.0321410i
\(621\) 416758. 190721.i 1.08069 0.494556i
\(622\) −321672. 427238.i −0.831442 1.10431i
\(623\) 177515. + 102489.i 0.457362 + 0.264058i
\(624\) −43168.6 + 633624.i −0.110866 + 1.62728i
\(625\) −191454. 331608.i −0.490123 0.848918i
\(626\) 41378.9 + 17584.4i 0.105592 + 0.0448724i
\(627\) 16513.4 + 519.893i 0.0420052 + 0.00132245i
\(628\) −68937.6 71504.6i −0.174798 0.181307i
\(629\) −390019. −0.985791
\(630\) 6823.34 13608.0i 0.0171916 0.0342858i
\(631\) 153307.i 0.385037i −0.981293 0.192518i \(-0.938335\pi\)
0.981293 0.192518i \(-0.0616655\pi\)
\(632\) 51826.4 324626.i 0.129753 0.812734i
\(633\) −175506. 108832.i −0.438011 0.271613i
\(634\) −144333. 61335.7i −0.359076 0.152593i
\(635\) −36899.8 + 21304.1i −0.0915117 + 0.0528343i
\(636\) 511918. + 565565.i 1.26557 + 1.39820i
\(637\) −257150. + 445397.i −0.633736 + 1.09766i
\(638\) −7685.56 10207.8i −0.0188814 0.0250779i
\(639\) −35370.0 23505.6i −0.0866231 0.0575664i
\(640\) −6443.06 + 32644.5i −0.0157301 + 0.0796986i
\(641\) −196626. + 340566.i −0.478547 + 0.828869i −0.999697 0.0245966i \(-0.992170\pi\)
0.521150 + 0.853465i \(0.325503\pi\)
\(642\) −292539. 415112.i −0.709763 1.00715i
\(643\) 384971. 222263.i 0.931120 0.537583i 0.0439545 0.999034i \(-0.486004\pi\)
0.887166 + 0.461451i \(0.152671\pi\)
\(644\) 225851. 56113.7i 0.544566 0.135300i
\(645\) −26605.9 + 14264.0i −0.0639525 + 0.0342864i
\(646\) 387815. 47455.8i 0.929309 0.113717i
\(647\) 152505.i 0.364314i −0.983269 0.182157i \(-0.941692\pi\)
0.983269 0.182157i \(-0.0583079\pi\)
\(648\) 303494. 290191.i 0.722770 0.691088i
\(649\) −30153.0 −0.0715881
\(650\) 83148.9 + 679504.i 0.196802 + 1.60829i
\(651\) −135319. 252404.i −0.319299 0.595572i
\(652\) 61176.0 + 246226.i 0.143908 + 0.579214i
\(653\) 149617. + 259144.i 0.350876 + 0.607736i 0.986403 0.164343i \(-0.0525504\pi\)
−0.635527 + 0.772079i \(0.719217\pi\)
\(654\) −480492. + 338613.i −1.12339 + 0.791677i
\(655\) −50211.7 28989.8i −0.117037 0.0675713i
\(656\) 257224. + 161321.i 0.597728 + 0.374871i
\(657\) 66903.0 100672.i 0.154994 0.233227i
\(658\) 26280.6 19786.9i 0.0606992 0.0457010i
\(659\) −361192. 208535.i −0.831702 0.480183i 0.0227330 0.999742i \(-0.492763\pi\)
−0.854435 + 0.519558i \(0.826097\pi\)
\(660\) 1083.97 981.145i 0.00248844 0.00225240i
\(661\) −379775. 657790.i −0.869208 1.50551i −0.862808 0.505532i \(-0.831296\pi\)
−0.00639999 0.999980i \(-0.502037\pi\)
\(662\) 116944. 275188.i 0.266847 0.627933i
\(663\) 347783. 560846.i 0.791191 1.27590i
\(664\) 80604.0 504881.i 0.182819 1.14512i
\(665\) −17252.3 −0.0390126
\(666\) 424651. + 212928.i 0.957380 + 0.480048i
\(667\) 401718.i 0.902962i
\(668\) −4826.24 + 4652.98i −0.0108157 + 0.0104275i
\(669\) −18198.9 + 578056.i −0.0406625 + 1.29157i
\(670\) 7001.28 16475.1i 0.0155965 0.0367011i
\(671\) 7216.22 4166.29i 0.0160275 0.00925346i
\(672\) 178652. 116368.i 0.395612 0.257689i
\(673\) 18836.0 32624.9i 0.0415871 0.0720309i −0.844483 0.535583i \(-0.820092\pi\)
0.886070 + 0.463552i \(0.153425\pi\)
\(674\) 453184. 341207.i 0.997597 0.751100i
\(675\) 262256. 368897.i 0.575596 0.809651i
\(676\) 209735. 729170.i 0.458964 1.59564i
\(677\) 347010. 601039.i 0.757120 1.31137i −0.187193 0.982323i \(-0.559939\pi\)
0.944313 0.329047i \(-0.106728\pi\)
\(678\) 386288. + 178710.i 0.840334 + 0.388766i
\(679\) 136614. 78873.9i 0.296315 0.171078i
\(680\) 21792.1 26843.2i 0.0471282 0.0580519i
\(681\) −1899.01 + 60318.5i −0.00409479 + 0.130064i
\(682\) −3340.90 27302.3i −0.00718281 0.0586989i
\(683\) 357197.i 0.765714i 0.923808 + 0.382857i \(0.125060\pi\)
−0.923808 + 0.382857i \(0.874940\pi\)
\(684\) −448160. 160055.i −0.957901 0.342104i
\(685\) 1256.87 0.00267861
\(686\) 391920. 47958.0i 0.832815 0.101909i
\(687\) −168616. + 271916.i −0.357261 + 0.576131i
\(688\) −422529. 15451.1i −0.892647 0.0326425i
\(689\) −730122. 1.26461e6i −1.53800 2.66390i
\(690\) −45778.9 + 4144.60i −0.0961539 + 0.00870532i
\(691\) 384473. + 221976.i 0.805212 + 0.464889i 0.845290 0.534307i \(-0.179427\pi\)
−0.0400786 + 0.999197i \(0.512761\pi\)
\(692\) −84922.2 + 295242.i −0.177341 + 0.616547i
\(693\) −9349.80 589.303i −0.0194686 0.00122708i
\(694\) 440359. + 584876.i 0.914297 + 1.21435i
\(695\) 34159.6 + 19722.1i 0.0707202 + 0.0408304i
\(696\) 120588. + 347726.i 0.248935 + 0.717826i
\(697\) −157749. 273228.i −0.324713 0.562420i
\(698\) 495358. + 210508.i 1.01674 + 0.432073i
\(699\) −265526. 495272.i −0.543442 1.01365i
\(700\) 165450. 159510.i 0.337653 0.325531i
\(701\) −483771. −0.984474 −0.492237 0.870461i \(-0.663821\pi\)
−0.492237 + 0.870461i \(0.663821\pi\)
\(702\) −684854. + 420777.i −1.38971 + 0.853842i
\(703\) 538375.i 1.08937i
\(704\) 20040.4 4208.04i 0.0404353 0.00849053i
\(705\) −5726.62 + 3070.17i −0.0115218 + 0.00617710i
\(706\) −737299. 313323.i −1.47922 0.628612i
\(707\) 61929.9 35755.3i 0.123897 0.0715321i
\(708\) 826707. + 266229.i 1.64924 + 0.531114i
\(709\) −79169.5 + 137126.i −0.157494 + 0.272788i −0.933965 0.357366i \(-0.883675\pi\)
0.776470 + 0.630154i \(0.217008\pi\)
\(710\) 2561.85 + 3402.60i 0.00508203 + 0.00674986i
\(711\) 372688. 184951.i 0.737236 0.365863i
\(712\) −202559. 529638.i −0.399569 1.04477i
\(713\) −432382. + 748907.i −0.850527 + 1.47316i
\(714\) −220643. + 19976.0i −0.432807 + 0.0391843i
\(715\) −2423.76 + 1399.36i −0.00474108 + 0.00273726i
\(716\) 192211. + 773627.i 0.374932 + 1.50906i
\(717\) −28709.3 17802.8i −0.0558450 0.0346297i
\(718\) 639941. 78307.7i 1.24134 0.151899i
\(719\) 781622.i 1.51196i 0.654597 + 0.755978i \(0.272838\pi\)
−0.654597 + 0.755978i \(0.727162\pi\)
\(720\) −38382.0 + 17329.5i −0.0740393 + 0.0334288i
\(721\) −251358. −0.483529
\(722\) 2191.38 + 17908.3i 0.00420381 + 0.0343541i
\(723\) −806587. 25393.8i −1.54303 0.0485792i
\(724\) −216936. + 53898.7i −0.413861 + 0.102826i
\(725\) 198358. + 343566.i 0.377375 + 0.653633i
\(726\) 477548. + 220929.i 0.906032 + 0.419160i
\(727\) 51590.1 + 29785.6i 0.0976107 + 0.0563556i 0.548011 0.836471i \(-0.315385\pi\)
−0.450400 + 0.892827i \(0.648719\pi\)
\(728\) −381202. + 145790.i −0.719271 + 0.275085i
\(729\) 521994. + 99759.6i 0.982223 + 0.187715i
\(730\) −9684.71 + 7291.71i −0.0181736 + 0.0136831i
\(731\) 380482. + 219672.i 0.712032 + 0.411092i
\(732\) −234633. + 50513.5i −0.437892 + 0.0942726i
\(733\) 106923. + 185196.i 0.199004 + 0.344685i 0.948206 0.317657i \(-0.102896\pi\)
−0.749202 + 0.662342i \(0.769563\pi\)
\(734\) 312207. 734674.i 0.579497 1.36365i
\(735\) −34086.2 1073.13i −0.0630963 0.00198646i
\(736\) −582914. 273278.i −1.07609 0.504486i
\(737\) −11016.5 −0.0202819
\(738\) 22588.8 + 383612.i 0.0414744 + 0.704335i
\(739\) 218903.i 0.400832i 0.979711 + 0.200416i \(0.0642294\pi\)
−0.979711 + 0.200416i \(0.935771\pi\)
\(740\) −33067.3 34298.7i −0.0603860 0.0626345i
\(741\) 774180. + 480073.i 1.40996 + 0.874320i
\(742\) −191731. + 451174.i −0.348245 + 0.819476i
\(743\) −431487. + 249119.i −0.781610 + 0.451263i −0.837001 0.547202i \(-0.815693\pi\)
0.0553907 + 0.998465i \(0.482360\pi\)
\(744\) −149461. + 778045.i −0.270012 + 1.40559i
\(745\) 628.850 1089.20i 0.00113301 0.00196243i
\(746\) 18497.9 13927.3i 0.0332388 0.0250258i
\(747\) 579631. 287650.i 1.03875 0.515493i
\(748\) −20448.9 5881.85i −0.0365483 0.0105126i
\(749\) 163175. 282628.i 0.290864 0.503792i
\(750\) −74457.5 + 52471.8i −0.132369 + 0.0932833i
\(751\) 534346. 308505.i 0.947421 0.546994i 0.0551419 0.998479i \(-0.482439\pi\)
0.892279 + 0.451485i \(0.149106\pi\)
\(752\) −90944.9 3325.69i −0.160821 0.00588093i
\(753\) −73342.9 + 39320.8i −0.129350 + 0.0693477i
\(754\) −85571.1 699299.i −0.150517 1.23004i
\(755\) 8813.01i 0.0154607i
\(756\) 251141. + 98708.7i 0.439414 + 0.172708i
\(757\) 483106. 0.843045 0.421523 0.906818i \(-0.361496\pi\)
0.421523 + 0.906818i \(0.361496\pi\)
\(758\) −865266. + 105880.i −1.50595 + 0.184279i
\(759\) 13366.1 + 24931.1i 0.0232018 + 0.0432771i
\(760\) 37053.8 + 30081.4i 0.0641513 + 0.0520799i
\(761\) 68847.3 + 119247.i 0.118882 + 0.205910i 0.919325 0.393499i \(-0.128736\pi\)
−0.800443 + 0.599409i \(0.795402\pi\)
\(762\) −435078. 617375.i −0.749302 1.06326i
\(763\) −327141.