Properties

Label 18.5.d.a.11.3
Level $18$
Weight $5$
Character 18.11
Analytic conductor $1.861$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 18.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.86065933551\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{6})\)
Coefficient field: 8.0.221456830464.4
Defining polynomial: \( x^{8} - 4x^{7} + 38x^{6} - 100x^{5} + 449x^{4} - 736x^{3} + 1900x^{2} - 1548x + 2307 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{4}\cdot 3^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.3
Root \(0.500000 - 2.20403i\) of defining polynomial
Character \(\chi\) \(=\) 18.11
Dual form 18.5.d.a.5.3

$q$-expansion

\(f(q)\) \(=\) \(q+(2.44949 + 1.41421i) q^{2} +(-1.67960 + 8.84189i) q^{3} +(4.00000 + 6.92820i) q^{4} +(6.41371 - 3.70296i) q^{5} +(-16.6185 + 19.2828i) q^{6} +(30.1882 - 52.2875i) q^{7} +22.6274i q^{8} +(-75.3579 - 29.7016i) q^{9} +O(q^{10})\) \(q+(2.44949 + 1.41421i) q^{2} +(-1.67960 + 8.84189i) q^{3} +(4.00000 + 6.92820i) q^{4} +(6.41371 - 3.70296i) q^{5} +(-16.6185 + 19.2828i) q^{6} +(30.1882 - 52.2875i) q^{7} +22.6274i q^{8} +(-75.3579 - 29.7016i) q^{9} +20.9471 q^{10} +(55.2054 + 31.8729i) q^{11} +(-67.9768 + 23.7310i) q^{12} +(-144.994 - 251.137i) q^{13} +(147.892 - 85.3852i) q^{14} +(21.9687 + 62.9288i) q^{15} +(-32.0000 + 55.4256i) q^{16} +460.439i q^{17} +(-142.584 - 179.326i) q^{18} +187.741 q^{19} +(51.3097 + 29.6237i) q^{20} +(411.616 + 354.743i) q^{21} +(90.1501 + 156.144i) q^{22} +(-35.8618 + 20.7048i) q^{23} +(-200.069 - 38.0049i) q^{24} +(-285.076 + 493.766i) q^{25} -820.210i q^{26} +(389.189 - 616.419i) q^{27} +483.012 q^{28} +(-1211.49 - 699.452i) q^{29} +(-35.1827 + 185.212i) q^{30} +(-318.482 - 551.628i) q^{31} +(-156.767 + 90.5097i) q^{32} +(-374.539 + 434.586i) q^{33} +(-651.158 + 1127.84i) q^{34} -447.143i q^{35} +(-95.6529 - 640.901i) q^{36} +847.670 q^{37} +(459.869 + 265.506i) q^{38} +(2464.06 - 860.212i) q^{39} +(83.7884 + 145.126i) q^{40} +(-438.352 + 253.083i) q^{41} +(506.568 + 1451.05i) q^{42} +(-702.429 + 1216.64i) q^{43} +509.966i q^{44} +(-593.308 + 88.5497i) q^{45} -117.124 q^{46} +(2146.72 + 1239.41i) q^{47} +(-436.320 - 376.033i) q^{48} +(-622.158 - 1077.61i) q^{49} +(-1396.58 + 806.317i) q^{50} +(-4071.15 - 773.351i) q^{51} +(1159.95 - 2009.10i) q^{52} +773.208i q^{53} +(1825.06 - 959.517i) q^{54} +472.095 q^{55} +(1183.13 + 683.082i) q^{56} +(-315.329 + 1659.98i) q^{57} +(-1978.35 - 3426.60i) q^{58} +(3894.93 - 2248.74i) q^{59} +(-348.109 + 403.919i) q^{60} +(1301.48 - 2254.22i) q^{61} -1801.61i q^{62} +(-3827.95 + 3043.64i) q^{63} -512.000 q^{64} +(-1859.90 - 1073.81i) q^{65} +(-1532.03 + 534.837i) q^{66} +(1691.55 + 2929.85i) q^{67} +(-3190.01 + 1841.75i) q^{68} +(-122.836 - 351.862i) q^{69} +(632.356 - 1095.27i) q^{70} +2771.07i q^{71} +(672.070 - 1705.15i) q^{72} +3525.16 q^{73} +(2076.36 + 1198.79i) q^{74} +(-3887.01 - 3349.94i) q^{75} +(750.964 + 1300.71i) q^{76} +(3333.11 - 1924.37i) q^{77} +(7252.21 + 1377.62i) q^{78} +(-2914.90 + 5048.75i) q^{79} +473.979i q^{80} +(4796.63 + 4476.50i) q^{81} -1431.65 q^{82} +(-4438.63 - 2562.65i) q^{83} +(-811.265 + 4270.73i) q^{84} +(1704.98 + 2953.12i) q^{85} +(-3441.19 + 1986.77i) q^{86} +(8219.29 - 9537.03i) q^{87} +(-721.200 + 1249.16i) q^{88} -1221.14i q^{89} +(-1578.53 - 622.162i) q^{90} -17508.5 q^{91} +(-286.894 - 165.638i) q^{92} +(5412.35 - 1889.47i) q^{93} +(3505.58 + 6071.84i) q^{94} +(1204.12 - 695.197i) q^{95} +(-536.970 - 1538.14i) q^{96} +(7367.60 - 12761.1i) q^{97} -3519.46i q^{98} +(-3213.49 - 4041.56i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8 q + 6 q^{3} + 32 q^{4} + 18 q^{5} + 48 q^{6} - 26 q^{7} - 78 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 8 q + 6 q^{3} + 32 q^{4} + 18 q^{5} + 48 q^{6} - 26 q^{7} - 78 q^{9} - 720 q^{11} - 144 q^{12} + 10 q^{13} + 288 q^{14} + 1134 q^{15} - 256 q^{16} - 384 q^{18} + 100 q^{19} + 144 q^{20} + 438 q^{21} + 336 q^{22} + 1278 q^{23} + 384 q^{24} + 794 q^{25} - 1296 q^{27} - 416 q^{28} - 1854 q^{29} - 3456 q^{30} - 1478 q^{31} - 3384 q^{33} - 96 q^{34} + 1056 q^{36} - 32 q^{37} + 6768 q^{38} + 5274 q^{39} - 36 q^{41} + 2592 q^{42} - 68 q^{43} + 3402 q^{45} + 2112 q^{46} + 2214 q^{47} - 1536 q^{48} + 2442 q^{49} - 15552 q^{50} - 12006 q^{51} - 80 q^{52} + 7056 q^{54} - 3996 q^{55} + 2304 q^{56} + 10902 q^{57} - 2400 q^{58} + 9108 q^{59} + 6480 q^{60} - 4478 q^{61} - 6654 q^{63} - 4096 q^{64} - 22554 q^{65} - 19872 q^{66} + 7504 q^{67} - 11088 q^{68} - 5994 q^{69} + 6048 q^{70} + 5376 q^{72} + 20716 q^{73} + 15264 q^{74} + 16590 q^{75} + 400 q^{76} + 34434 q^{77} + 24096 q^{78} - 6050 q^{79} - 21150 q^{81} + 1152 q^{82} - 3834 q^{83} - 9600 q^{84} - 16092 q^{85} - 12528 q^{86} + 10170 q^{87} - 2688 q^{88} + 2592 q^{90} - 45868 q^{91} + 10224 q^{92} - 10926 q^{93} + 672 q^{94} + 20880 q^{95} + 31336 q^{97} - 22338 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.44949 + 1.41421i 0.612372 + 0.353553i
\(3\) −1.67960 + 8.84189i −0.186622 + 0.982432i
\(4\) 4.00000 + 6.92820i 0.250000 + 0.433013i
\(5\) 6.41371 3.70296i 0.256548 0.148118i −0.366211 0.930532i \(-0.619345\pi\)
0.622759 + 0.782414i \(0.286012\pi\)
\(6\) −16.6185 + 19.2828i −0.461624 + 0.535633i
\(7\) 30.1882 52.2875i 0.616086 1.06709i −0.374107 0.927386i \(-0.622051\pi\)
0.990193 0.139707i \(-0.0446161\pi\)
\(8\) 22.6274i 0.353553i
\(9\) −75.3579 29.7016i −0.930345 0.366686i
\(10\) 20.9471 0.209471
\(11\) 55.2054 + 31.8729i 0.456243 + 0.263412i 0.710463 0.703734i \(-0.248485\pi\)
−0.254220 + 0.967146i \(0.581819\pi\)
\(12\) −67.9768 + 23.7310i −0.472061 + 0.164798i
\(13\) −144.994 251.137i −0.857953 1.48602i −0.873878 0.486145i \(-0.838403\pi\)
0.0159253 0.999873i \(-0.494931\pi\)
\(14\) 147.892 85.3852i 0.754549 0.435639i
\(15\) 21.9687 + 62.9288i 0.0976386 + 0.279683i
\(16\) −32.0000 + 55.4256i −0.125000 + 0.216506i
\(17\) 460.439i 1.59321i 0.604498 + 0.796606i \(0.293374\pi\)
−0.604498 + 0.796606i \(0.706626\pi\)
\(18\) −142.584 179.326i −0.440074 0.553475i
\(19\) 187.741 0.520058 0.260029 0.965601i \(-0.416268\pi\)
0.260029 + 0.965601i \(0.416268\pi\)
\(20\) 51.3097 + 29.6237i 0.128274 + 0.0740592i
\(21\) 411.616 + 354.743i 0.933371 + 0.804406i
\(22\) 90.1501 + 156.144i 0.186260 + 0.322613i
\(23\) −35.8618 + 20.7048i −0.0677916 + 0.0391395i −0.533513 0.845792i \(-0.679128\pi\)
0.465721 + 0.884932i \(0.345795\pi\)
\(24\) −200.069 38.0049i −0.347342 0.0659808i
\(25\) −285.076 + 493.766i −0.456122 + 0.790026i
\(26\) 820.210i 1.21333i
\(27\) 389.189 616.419i 0.533867 0.845568i
\(28\) 483.012 0.616086
\(29\) −1211.49 699.452i −1.44053 0.831691i −0.442646 0.896696i \(-0.645960\pi\)
−0.997885 + 0.0650051i \(0.979294\pi\)
\(30\) −35.1827 + 185.212i −0.0390918 + 0.205791i
\(31\) −318.482 551.628i −0.331407 0.574014i 0.651381 0.758751i \(-0.274190\pi\)
−0.982788 + 0.184737i \(0.940857\pi\)
\(32\) −156.767 + 90.5097i −0.153093 + 0.0883883i
\(33\) −374.539 + 434.586i −0.343929 + 0.399069i
\(34\) −651.158 + 1127.84i −0.563286 + 0.975640i
\(35\) 447.143i 0.365015i
\(36\) −95.6529 640.901i −0.0738063 0.494523i
\(37\) 847.670 0.619189 0.309594 0.950869i \(-0.399807\pi\)
0.309594 + 0.950869i \(0.399807\pi\)
\(38\) 459.869 + 265.506i 0.318469 + 0.183868i
\(39\) 2464.06 860.212i 1.62002 0.565557i
\(40\) 83.7884 + 145.126i 0.0523677 + 0.0907036i
\(41\) −438.352 + 253.083i −0.260769 + 0.150555i −0.624685 0.780877i \(-0.714773\pi\)
0.363916 + 0.931432i \(0.381439\pi\)
\(42\) 506.568 + 1451.05i 0.287170 + 0.822592i
\(43\) −702.429 + 1216.64i −0.379897 + 0.658001i −0.991047 0.133514i \(-0.957374\pi\)
0.611150 + 0.791515i \(0.290707\pi\)
\(44\) 509.966i 0.263412i
\(45\) −593.308 + 88.5497i −0.292991 + 0.0437282i
\(46\) −117.124 −0.0553516
\(47\) 2146.72 + 1239.41i 0.971806 + 0.561073i 0.899786 0.436331i \(-0.143722\pi\)
0.0720198 + 0.997403i \(0.477056\pi\)
\(48\) −436.320 376.033i −0.189375 0.163209i
\(49\) −622.158 1077.61i −0.259125 0.448817i
\(50\) −1396.58 + 806.317i −0.558633 + 0.322527i
\(51\) −4071.15 773.351i −1.56522 0.297328i
\(52\) 1159.95 2009.10i 0.428976 0.743009i
\(53\) 773.208i 0.275261i 0.990484 + 0.137630i \(0.0439486\pi\)
−0.990484 + 0.137630i \(0.956051\pi\)
\(54\) 1825.06 959.517i 0.625879 0.329052i
\(55\) 472.095 0.156065
\(56\) 1183.13 + 683.082i 0.377274 + 0.217819i
\(57\) −315.329 + 1659.98i −0.0970541 + 0.510921i
\(58\) −1978.35 3426.60i −0.588094 1.01861i
\(59\) 3894.93 2248.74i 1.11891 0.646004i 0.177789 0.984069i \(-0.443106\pi\)
0.941123 + 0.338065i \(0.109772\pi\)
\(60\) −348.109 + 403.919i −0.0966968 + 0.112200i
\(61\) 1301.48 2254.22i 0.349765 0.605811i −0.636442 0.771324i \(-0.719595\pi\)
0.986208 + 0.165513i \(0.0529280\pi\)
\(62\) 1801.61i 0.468681i
\(63\) −3827.95 + 3043.64i −0.964461 + 0.766853i
\(64\) −512.000 −0.125000
\(65\) −1859.90 1073.81i −0.440213 0.254157i
\(66\) −1532.03 + 534.837i −0.351705 + 0.122782i
\(67\) 1691.55 + 2929.85i 0.376821 + 0.652673i 0.990598 0.136807i \(-0.0436840\pi\)
−0.613777 + 0.789479i \(0.710351\pi\)
\(68\) −3190.01 + 1841.75i −0.689881 + 0.398303i
\(69\) −122.836 351.862i −0.0258005 0.0739050i
\(70\) 632.356 1095.27i 0.129052 0.223525i
\(71\) 2771.07i 0.549706i 0.961486 + 0.274853i \(0.0886292\pi\)
−0.961486 + 0.274853i \(0.911371\pi\)
\(72\) 672.070 1705.15i 0.129643 0.328926i
\(73\) 3525.16 0.661506 0.330753 0.943717i \(-0.392697\pi\)
0.330753 + 0.943717i \(0.392697\pi\)
\(74\) 2076.36 + 1198.79i 0.379174 + 0.218916i
\(75\) −3887.01 3349.94i −0.691025 0.595545i
\(76\) 750.964 + 1300.71i 0.130014 + 0.225192i
\(77\) 3333.11 1924.37i 0.562170 0.324569i
\(78\) 7252.21 + 1377.62i 1.19201 + 0.226434i
\(79\) −2914.90 + 5048.75i −0.467056 + 0.808964i −0.999292 0.0376317i \(-0.988019\pi\)
0.532236 + 0.846596i \(0.321352\pi\)
\(80\) 473.979i 0.0740592i
\(81\) 4796.63 + 4476.50i 0.731082 + 0.682289i
\(82\) −1431.65 −0.212917
\(83\) −4438.63 2562.65i −0.644307 0.371991i 0.141965 0.989872i \(-0.454658\pi\)
−0.786272 + 0.617881i \(0.787991\pi\)
\(84\) −811.265 + 4270.73i −0.114975 + 0.605263i
\(85\) 1704.98 + 2953.12i 0.235984 + 0.408736i
\(86\) −3441.19 + 1986.77i −0.465277 + 0.268628i
\(87\) 8219.29 9537.03i 1.08591 1.26001i
\(88\) −721.200 + 1249.16i −0.0931302 + 0.161306i
\(89\) 1221.14i 0.154164i −0.997025 0.0770822i \(-0.975440\pi\)
0.997025 0.0770822i \(-0.0245604\pi\)
\(90\) −1578.53 622.162i −0.194880 0.0768101i
\(91\) −17508.5 −2.11429
\(92\) −286.894 165.638i −0.0338958 0.0195698i
\(93\) 5412.35 1889.47i 0.625778 0.218461i
\(94\) 3505.58 + 6071.84i 0.396738 + 0.687171i
\(95\) 1204.12 695.197i 0.133420 0.0770301i
\(96\) −536.970 1538.14i −0.0582650 0.166899i
\(97\) 7367.60 12761.1i 0.783038 1.35626i −0.147126 0.989118i \(-0.547002\pi\)
0.930164 0.367144i \(-0.119664\pi\)
\(98\) 3519.46i 0.366458i
\(99\) −3213.49 4041.56i −0.327874 0.412362i
\(100\) −4561.22 −0.456122
\(101\) −15034.0 8679.88i −1.47378 0.850885i −0.474213 0.880410i \(-0.657267\pi\)
−0.999564 + 0.0295251i \(0.990601\pi\)
\(102\) −8878.54 7651.78i −0.853378 0.735466i
\(103\) 5164.36 + 8944.94i 0.486791 + 0.843146i 0.999885 0.0151863i \(-0.00483414\pi\)
−0.513094 + 0.858332i \(0.671501\pi\)
\(104\) 5682.58 3280.84i 0.525387 0.303332i
\(105\) 3953.59 + 751.020i 0.358602 + 0.0681197i
\(106\) −1093.48 + 1893.97i −0.0973195 + 0.168562i
\(107\) 7260.47i 0.634157i 0.948399 + 0.317079i \(0.102702\pi\)
−0.948399 + 0.317079i \(0.897298\pi\)
\(108\) 5827.44 + 230.703i 0.499609 + 0.0197791i
\(109\) 1894.50 0.159456 0.0797280 0.996817i \(-0.474595\pi\)
0.0797280 + 0.996817i \(0.474595\pi\)
\(110\) 1156.39 + 667.644i 0.0955697 + 0.0551772i
\(111\) −1423.74 + 7495.00i −0.115554 + 0.608311i
\(112\) 1932.05 + 3346.40i 0.154022 + 0.266773i
\(113\) −8274.94 + 4777.54i −0.648049 + 0.374151i −0.787708 0.616048i \(-0.788733\pi\)
0.139659 + 0.990200i \(0.455399\pi\)
\(114\) −3119.97 + 3620.17i −0.240071 + 0.278560i
\(115\) −153.338 + 265.589i −0.0115946 + 0.0200824i
\(116\) 11191.2i 0.831691i
\(117\) 3467.28 + 23231.7i 0.253289 + 1.69711i
\(118\) 12720.8 0.913587
\(119\) 24075.2 + 13899.8i 1.70011 + 0.981557i
\(120\) −1423.92 + 497.095i −0.0988830 + 0.0345205i
\(121\) −5288.74 9160.37i −0.361228 0.625666i
\(122\) 6375.91 3681.13i 0.428373 0.247321i
\(123\) −1501.47 4300.94i −0.0992448 0.284284i
\(124\) 2547.86 4413.02i 0.165704 0.287007i
\(125\) 8851.20i 0.566477i
\(126\) −13680.9 + 2041.84i −0.861733 + 0.128611i
\(127\) 7548.96 0.468037 0.234018 0.972232i \(-0.424812\pi\)
0.234018 + 0.972232i \(0.424812\pi\)
\(128\) −1254.14 724.077i −0.0765466 0.0441942i
\(129\) −9577.62 8254.27i −0.575544 0.496020i
\(130\) −3037.20 5260.59i −0.179716 0.311278i
\(131\) −4176.24 + 2411.15i −0.243356 + 0.140502i −0.616718 0.787184i \(-0.711538\pi\)
0.373362 + 0.927686i \(0.378205\pi\)
\(132\) −4509.06 856.537i −0.258784 0.0491584i
\(133\) 5667.56 9816.51i 0.320400 0.554950i
\(134\) 9568.84i 0.532905i
\(135\) 213.571 5394.69i 0.0117186 0.296005i
\(136\) −10418.5 −0.563286
\(137\) 9346.97 + 5396.48i 0.498001 + 0.287521i 0.727887 0.685697i \(-0.240502\pi\)
−0.229887 + 0.973217i \(0.573836\pi\)
\(138\) 196.721 1035.60i 0.0103298 0.0543792i
\(139\) −14138.6 24488.8i −0.731774 1.26747i −0.956124 0.292961i \(-0.905359\pi\)
0.224350 0.974509i \(-0.427974\pi\)
\(140\) 3097.90 1788.57i 0.158056 0.0912537i
\(141\) −14564.3 + 16899.3i −0.732576 + 0.850025i
\(142\) −3918.88 + 6787.70i −0.194350 + 0.336625i
\(143\) 18485.5i 0.903981i
\(144\) 4057.68 3226.31i 0.195683 0.155590i
\(145\) −10360.2 −0.492755
\(146\) 8634.85 + 4985.33i 0.405088 + 0.233878i
\(147\) 10573.1 3691.10i 0.489290 0.170813i
\(148\) 3390.68 + 5872.83i 0.154797 + 0.268117i
\(149\) −8456.84 + 4882.56i −0.380922 + 0.219925i −0.678219 0.734860i \(-0.737248\pi\)
0.297298 + 0.954785i \(0.403915\pi\)
\(150\) −4783.67 13702.7i −0.212608 0.609009i
\(151\) −383.441 + 664.140i −0.0168169 + 0.0291277i −0.874311 0.485365i \(-0.838687\pi\)
0.857495 + 0.514493i \(0.172020\pi\)
\(152\) 4248.09i 0.183868i
\(153\) 13675.8 34697.7i 0.584210 1.48224i
\(154\) 10885.9 0.459010
\(155\) −4085.31 2358.65i −0.170044 0.0981749i
\(156\) 15816.0 + 13630.6i 0.649899 + 0.560102i
\(157\) 2595.91 + 4496.26i 0.105315 + 0.182411i 0.913867 0.406014i \(-0.133082\pi\)
−0.808552 + 0.588425i \(0.799748\pi\)
\(158\) −14280.0 + 8244.57i −0.572024 + 0.330258i
\(159\) −6836.62 1298.68i −0.270425 0.0513697i
\(160\) −670.307 + 1161.01i −0.0261839 + 0.0453518i
\(161\) 2500.17i 0.0964533i
\(162\) 5418.57 + 17748.6i 0.206469 + 0.676292i
\(163\) 24180.8 0.910113 0.455057 0.890462i \(-0.349619\pi\)
0.455057 + 0.890462i \(0.349619\pi\)
\(164\) −3506.82 2024.66i −0.130384 0.0752775i
\(165\) −792.930 + 4174.21i −0.0291251 + 0.153323i
\(166\) −7248.26 12554.3i −0.263037 0.455594i
\(167\) 18849.5 10882.7i 0.675875 0.390216i −0.122424 0.992478i \(-0.539067\pi\)
0.798299 + 0.602261i \(0.205734\pi\)
\(168\) −8026.91 + 9313.82i −0.284400 + 0.329996i
\(169\) −27766.0 + 48092.2i −0.972166 + 1.68384i
\(170\) 9644.85i 0.333732i
\(171\) −14147.8 5576.20i −0.483833 0.190698i
\(172\) −11238.9 −0.379897
\(173\) −20789.4 12002.8i −0.694625 0.401042i 0.110717 0.993852i \(-0.464685\pi\)
−0.805342 + 0.592810i \(0.798019\pi\)
\(174\) 33620.5 11737.0i 1.11047 0.387668i
\(175\) 17211.9 + 29811.9i 0.562021 + 0.973449i
\(176\) −3533.15 + 2039.86i −0.114061 + 0.0658530i
\(177\) 13341.2 + 38215.5i 0.425841 + 1.21981i
\(178\) 1726.95 2991.16i 0.0545053 0.0944060i
\(179\) 41131.4i 1.28371i −0.766826 0.641855i \(-0.778165\pi\)
0.766826 0.641855i \(-0.221835\pi\)
\(180\) −2986.72 3756.36i −0.0921827 0.115937i
\(181\) 32048.3 0.978246 0.489123 0.872215i \(-0.337317\pi\)
0.489123 + 0.872215i \(0.337317\pi\)
\(182\) −42886.8 24760.7i −1.29473 0.747515i
\(183\) 17745.6 + 15293.7i 0.529895 + 0.456678i
\(184\) −468.496 811.459i −0.0138379 0.0239680i
\(185\) 5436.71 3138.88i 0.158852 0.0917132i
\(186\) 15929.6 + 3025.97i 0.460447 + 0.0874660i
\(187\) −14675.5 + 25418.7i −0.419671 + 0.726892i
\(188\) 19830.5i 0.561073i
\(189\) −20482.1 38958.3i −0.573392 1.09063i
\(190\) 3932.63 0.108937
\(191\) 11444.3 + 6607.35i 0.313705 + 0.181118i 0.648583 0.761144i \(-0.275362\pi\)
−0.334878 + 0.942261i \(0.608695\pi\)
\(192\) 859.953 4527.05i 0.0233277 0.122804i
\(193\) −893.462 1547.52i −0.0239862 0.0415453i 0.853783 0.520629i \(-0.174302\pi\)
−0.877769 + 0.479083i \(0.840969\pi\)
\(194\) 36093.7 20838.7i 0.959022 0.553691i
\(195\) 12618.4 14641.5i 0.331845 0.385048i
\(196\) 4977.27 8620.88i 0.129562 0.224408i
\(197\) 17640.9i 0.454557i −0.973830 0.227278i \(-0.927017\pi\)
0.973830 0.227278i \(-0.0729828\pi\)
\(198\) −2155.78 14444.3i −0.0549888 0.368440i
\(199\) 236.938 0.00598314 0.00299157 0.999996i \(-0.499048\pi\)
0.00299157 + 0.999996i \(0.499048\pi\)
\(200\) −11172.7 6450.54i −0.279316 0.161263i
\(201\) −28746.5 + 10035.5i −0.711529 + 0.248398i
\(202\) −24550.4 42522.6i −0.601667 1.04212i
\(203\) −73145.3 + 42230.4i −1.77498 + 1.02479i
\(204\) −10926.6 31299.1i −0.262559 0.752094i
\(205\) −1874.31 + 3246.40i −0.0445999 + 0.0772493i
\(206\) 29214.0i 0.688426i
\(207\) 3317.43 495.119i 0.0774215 0.0115550i
\(208\) 18559.2 0.428976
\(209\) 10364.3 + 5983.84i 0.237273 + 0.136990i
\(210\) 8622.17 + 7430.83i 0.195514 + 0.168500i
\(211\) −17979.1 31140.8i −0.403835 0.699463i 0.590350 0.807147i \(-0.298990\pi\)
−0.994185 + 0.107684i \(0.965656\pi\)
\(212\) −5356.94 + 3092.83i −0.119192 + 0.0688152i
\(213\) −24501.5 4654.28i −0.540049 0.102587i
\(214\) −10267.8 + 17784.4i −0.224208 + 0.388340i
\(215\) 10404.3i 0.225079i
\(216\) 13948.0 + 8806.34i 0.298954 + 0.188750i
\(217\) −38457.7 −0.816702
\(218\) 4640.55 + 2679.22i 0.0976464 + 0.0563762i
\(219\) −5920.85 + 31169.1i −0.123451 + 0.649884i
\(220\) 1888.38 + 3270.77i 0.0390162 + 0.0675780i
\(221\) 115633. 66760.8i 2.36754 1.36690i
\(222\) −14087.0 + 16345.4i −0.285833 + 0.331658i
\(223\) 27311.5 47305.0i 0.549207 0.951255i −0.449122 0.893471i \(-0.648263\pi\)
0.998329 0.0577846i \(-0.0184036\pi\)
\(224\) 10929.3i 0.217819i
\(225\) 36148.4 28742.0i 0.714043 0.567743i
\(226\) −27025.8 −0.529130
\(227\) 67692.0 + 39082.0i 1.31367 + 0.758447i 0.982702 0.185196i \(-0.0592919\pi\)
0.330967 + 0.943642i \(0.392625\pi\)
\(228\) −12762.0 + 4455.27i −0.245499 + 0.0857047i
\(229\) 6019.52 + 10426.1i 0.114787 + 0.198816i 0.917694 0.397287i \(-0.130048\pi\)
−0.802908 + 0.596103i \(0.796715\pi\)
\(230\) −751.200 + 433.706i −0.0142004 + 0.00819859i
\(231\) 11416.8 + 32703.1i 0.213954 + 0.612866i
\(232\) 15826.8 27412.8i 0.294047 0.509305i
\(233\) 95396.0i 1.75719i 0.477568 + 0.878595i \(0.341518\pi\)
−0.477568 + 0.878595i \(0.658482\pi\)
\(234\) −24361.6 + 61809.3i −0.444911 + 1.12881i
\(235\) 18357.9 0.332421
\(236\) 31159.4 + 17989.9i 0.559456 + 0.323002i
\(237\) −39744.6 34253.0i −0.707590 0.609821i
\(238\) 39314.6 + 68094.9i 0.694065 + 1.20216i
\(239\) −88641.6 + 51177.2i −1.55182 + 0.895944i −0.553827 + 0.832632i \(0.686833\pi\)
−0.997994 + 0.0633127i \(0.979833\pi\)
\(240\) −4190.87 796.093i −0.0727581 0.0138211i
\(241\) 26833.9 46477.6i 0.462008 0.800221i −0.537053 0.843548i \(-0.680463\pi\)
0.999061 + 0.0433274i \(0.0137959\pi\)
\(242\) 29917.6i 0.510854i
\(243\) −47637.1 + 34892.5i −0.806739 + 0.590908i
\(244\) 20823.6 0.349765
\(245\) −7980.69 4607.65i −0.132956 0.0767622i
\(246\) 2404.60 12658.5i 0.0397349 0.209176i
\(247\) −27221.3 47148.7i −0.446185 0.772815i
\(248\) 12481.9 7206.43i 0.202945 0.117170i
\(249\) 30113.7 34941.7i 0.485698 0.563566i
\(250\) −12517.5 + 21680.9i −0.200280 + 0.346895i
\(251\) 99789.6i 1.58394i −0.610562 0.791969i \(-0.709056\pi\)
0.610562 0.791969i \(-0.290944\pi\)
\(252\) −36398.7 14346.2i −0.573173 0.225910i
\(253\) −2639.69 −0.0412393
\(254\) 18491.1 + 10675.8i 0.286613 + 0.165476i
\(255\) −28974.8 + 10115.2i −0.445595 + 0.155559i
\(256\) −2048.00 3547.24i −0.0312500 0.0541266i
\(257\) −2249.40 + 1298.69i −0.0340565 + 0.0196625i −0.516932 0.856027i \(-0.672926\pi\)
0.482875 + 0.875689i \(0.339593\pi\)
\(258\) −11787.0 33763.6i −0.177078 0.507234i
\(259\) 25589.6 44322.6i 0.381474 0.660732i
\(260\) 17181.0i 0.254157i
\(261\) 70520.3 + 88692.4i 1.03522 + 1.30198i
\(262\) −13639.5 −0.198700
\(263\) −109308. 63109.2i −1.58031 0.912392i −0.994814 0.101716i \(-0.967567\pi\)
−0.585495 0.810676i \(-0.699100\pi\)
\(264\) −9833.57 8474.85i −0.141092 0.121597i
\(265\) 2863.16 + 4959.13i 0.0407712 + 0.0706178i
\(266\) 27765.3 16030.3i 0.392409 0.226557i
\(267\) 10797.1 + 2051.01i 0.151456 + 0.0287704i
\(268\) −13532.4 + 23438.8i −0.188410 + 0.326336i
\(269\) 14374.7i 0.198652i 0.995055 + 0.0993262i \(0.0316687\pi\)
−0.995055 + 0.0993262i \(0.968331\pi\)
\(270\) 8152.38 12912.2i 0.111830 0.177122i
\(271\) −54121.0 −0.736931 −0.368466 0.929641i \(-0.620117\pi\)
−0.368466 + 0.929641i \(0.620117\pi\)
\(272\) −25520.1 14734.0i −0.344941 0.199152i
\(273\) 29407.1 154808.i 0.394573 2.07715i
\(274\) 15263.5 + 26437.2i 0.203308 + 0.352140i
\(275\) −31475.5 + 18172.4i −0.416205 + 0.240296i
\(276\) 1946.42 2258.48i 0.0255517 0.0296482i
\(277\) −15805.9 + 27376.6i −0.205996 + 0.356796i −0.950450 0.310878i \(-0.899377\pi\)
0.744453 + 0.667674i \(0.232710\pi\)
\(278\) 79980.0i 1.03488i
\(279\) 7615.94 + 51028.9i 0.0978397 + 0.655553i
\(280\) 10117.7 0.129052
\(281\) 88490.4 + 51090.0i 1.12068 + 0.647028i 0.941576 0.336801i \(-0.109345\pi\)
0.179109 + 0.983829i \(0.442678\pi\)
\(282\) −59574.5 + 20797.7i −0.749138 + 0.261527i
\(283\) 72667.1 + 125863.i 0.907329 + 1.57154i 0.817760 + 0.575560i \(0.195216\pi\)
0.0895693 + 0.995981i \(0.471451\pi\)
\(284\) −19198.5 + 11084.3i −0.238030 + 0.137427i
\(285\) 4124.42 + 11814.3i 0.0507777 + 0.145452i
\(286\) 26142.4 45280.0i 0.319605 0.553573i
\(287\) 30560.5i 0.371019i
\(288\) 14501.9 2164.38i 0.174840 0.0260945i
\(289\) −128483. −1.53833
\(290\) −25377.1 14651.5i −0.301749 0.174215i
\(291\) 100457. + 86576.9i 1.18630 + 1.02239i
\(292\) 14100.7 + 24423.1i 0.165376 + 0.286440i
\(293\) −40048.4 + 23122.0i −0.466498 + 0.269333i −0.714773 0.699357i \(-0.753470\pi\)
0.248274 + 0.968690i \(0.420137\pi\)
\(294\) 31118.7 + 5911.27i 0.360020 + 0.0683890i
\(295\) 16654.0 28845.5i 0.191370 0.331463i
\(296\) 19180.6i 0.218916i
\(297\) 41132.4 21625.1i 0.466306 0.245158i
\(298\) −27619.9 −0.311021
\(299\) 10399.5 + 6004.15i 0.116324 + 0.0671597i
\(300\) 7661.01 40329.8i 0.0851223 0.448109i
\(301\) 42410.2 + 73456.6i 0.468099 + 0.810770i
\(302\) −1878.47 + 1084.54i −0.0205964 + 0.0118913i
\(303\) 101998. 118350.i 1.11098 1.28909i
\(304\) −6007.71 + 10405.7i −0.0650072 + 0.112596i
\(305\) 19277.3i 0.207227i
\(306\) 82568.6 65651.2i 0.881804 0.701132i
\(307\) −10736.4 −0.113915 −0.0569576 0.998377i \(-0.518140\pi\)
−0.0569576 + 0.998377i \(0.518140\pi\)
\(308\) 26664.9 + 15395.0i 0.281085 + 0.162285i
\(309\) −87764.2 + 30638.8i −0.919179 + 0.320889i
\(310\) −6671.28 11555.0i −0.0694202 0.120239i
\(311\) −192.300 + 111.025i −0.00198820 + 0.00114789i −0.500994 0.865451i \(-0.667032\pi\)
0.499006 + 0.866599i \(0.333699\pi\)
\(312\) 19464.4 + 55755.2i 0.199955 + 0.572765i
\(313\) −73338.2 + 127026.i −0.748586 + 1.29659i 0.199914 + 0.979813i \(0.435934\pi\)
−0.948500 + 0.316776i \(0.897400\pi\)
\(314\) 14684.7i 0.148938i
\(315\) −13280.9 + 33695.8i −0.133846 + 0.339589i
\(316\) −46638.3 −0.467056
\(317\) −152804. 88221.5i −1.52061 0.877922i −0.999705 0.0243045i \(-0.992263\pi\)
−0.520901 0.853617i \(-0.674404\pi\)
\(318\) −14909.6 12849.5i −0.147439 0.127067i
\(319\) −44587.1 77227.1i −0.438155 0.758907i
\(320\) −3283.82 + 1895.91i −0.0320686 + 0.0185148i
\(321\) −64196.2 12194.7i −0.623016 0.118348i
\(322\) −3535.77 + 6124.13i −0.0341014 + 0.0590653i
\(323\) 86443.1i 0.828563i
\(324\) −11827.6 + 51138.0i −0.112669 + 0.487140i
\(325\) 165337. 1.56532
\(326\) 59230.6 + 34196.8i 0.557328 + 0.321774i
\(327\) −3181.99 + 16750.9i −0.0297580 + 0.156655i
\(328\) −5726.61 9918.78i −0.0532292 0.0921957i
\(329\) 129611. 74831.1i 1.19743 0.691338i
\(330\) −7845.50 + 9103.32i −0.0720432 + 0.0835934i
\(331\) 48118.6 83343.8i 0.439194 0.760707i −0.558433 0.829549i \(-0.688597\pi\)
0.997628 + 0.0688427i \(0.0219306\pi\)
\(332\) 41002.3i 0.371991i
\(333\) −63878.6 25177.1i −0.576059 0.227048i
\(334\) 61562.1 0.551849
\(335\) 21698.2 + 12527.5i 0.193346 + 0.111628i
\(336\) −32833.6 + 11462.3i −0.290830 + 0.101530i
\(337\) −59411.3 102903.i −0.523130 0.906087i −0.999638 0.0269171i \(-0.991431\pi\)
0.476508 0.879170i \(-0.341902\pi\)
\(338\) −136025. + 78534.2i −1.19066 + 0.687426i
\(339\) −28343.9 81190.4i −0.246638 0.706489i
\(340\) −13639.9 + 23625.0i −0.117992 + 0.204368i
\(341\) 40603.8i 0.349187i
\(342\) −26768.9 33666.8i −0.228864 0.287839i
\(343\) 69836.5 0.593600
\(344\) −27529.5 15894.2i −0.232638 0.134314i
\(345\) −2090.76 1801.88i −0.0175658 0.0151387i
\(346\) −33949.0 58801.4i −0.283580 0.491174i
\(347\) 169009. 97577.4i 1.40362 0.810383i 0.408861 0.912597i \(-0.365926\pi\)
0.994762 + 0.102214i \(0.0325926\pi\)
\(348\) 98951.6 + 18796.8i 0.817080 + 0.155212i
\(349\) 39097.6 67719.0i 0.320995 0.555981i −0.659698 0.751531i \(-0.729316\pi\)
0.980694 + 0.195550i \(0.0626492\pi\)
\(350\) 97365.2i 0.794818i
\(351\) −211236. 8362.65i −1.71456 0.0678781i
\(352\) −11539.2 −0.0931302
\(353\) −5389.44 3111.59i −0.0432508 0.0249708i 0.478219 0.878241i \(-0.341283\pi\)
−0.521469 + 0.853270i \(0.674616\pi\)
\(354\) −21365.8 + 112476.i −0.170495 + 0.897537i
\(355\) 10261.1 + 17772.8i 0.0814215 + 0.141026i
\(356\) 8460.27 4884.54i 0.0667551 0.0385411i
\(357\) −163337. + 189524.i −1.28159 + 1.48706i
\(358\) 58168.6 100751.i 0.453860 0.786109i
\(359\) 126328.i 0.980188i −0.871670 0.490094i \(-0.836962\pi\)
0.871670 0.490094i \(-0.163038\pi\)
\(360\) −2003.65 13425.0i −0.0154603 0.103588i
\(361\) −95074.4 −0.729540
\(362\) 78502.0 + 45323.2i 0.599051 + 0.345862i
\(363\) 89877.9 31376.7i 0.682087 0.238119i
\(364\) −70033.8 121302.i −0.528573 0.915515i
\(365\) 22609.4 13053.5i 0.169708 0.0979811i
\(366\) 21839.2 + 62557.9i 0.163033 + 0.467003i
\(367\) −60152.2 + 104187.i −0.446601 + 0.773536i −0.998162 0.0605988i \(-0.980699\pi\)
0.551561 + 0.834134i \(0.314032\pi\)
\(368\) 2650.22i 0.0195698i
\(369\) 40550.3 6052.03i 0.297811 0.0444476i
\(370\) 17756.2 0.129702
\(371\) 40429.2 + 23341.8i 0.293729 + 0.169585i
\(372\) 34740.0 + 29940.0i 0.251041 + 0.216354i
\(373\) 32755.4 + 56733.9i 0.235432 + 0.407779i 0.959398 0.282056i \(-0.0910163\pi\)
−0.723966 + 0.689835i \(0.757683\pi\)
\(374\) −71894.9 + 41508.6i −0.513990 + 0.296753i
\(375\) −78261.3 14866.4i −0.556525 0.105717i
\(376\) −28044.6 + 48574.7i −0.198369 + 0.343585i
\(377\) 405666.i 2.85421i
\(378\) 4924.66 124394.i 0.0344661 0.870596i
\(379\) 129148. 0.899106 0.449553 0.893254i \(-0.351583\pi\)
0.449553 + 0.893254i \(0.351583\pi\)
\(380\) 9632.93 + 5561.57i 0.0667100 + 0.0385150i
\(381\) −12679.2 + 66747.1i −0.0873459 + 0.459814i
\(382\) 18688.4 + 32369.3i 0.128070 + 0.221823i
\(383\) 61973.9 35780.7i 0.422485 0.243922i −0.273655 0.961828i \(-0.588233\pi\)
0.696140 + 0.717906i \(0.254899\pi\)
\(384\) 8508.66 9872.79i 0.0577030 0.0669542i
\(385\) 14251.7 24684.7i 0.0961493 0.166535i
\(386\) 5054.19i 0.0339216i
\(387\) 89069.9 70820.4i 0.594715 0.472864i
\(388\) 117882. 0.783038
\(389\) −17196.4 9928.34i −0.113642 0.0656111i 0.442102 0.896965i \(-0.354233\pi\)
−0.555744 + 0.831354i \(0.687566\pi\)
\(390\) 51614.8 18018.9i 0.339348 0.118468i
\(391\) −9533.29 16512.1i −0.0623576 0.108007i
\(392\) 24383.5 14077.8i 0.158681 0.0916144i
\(393\) −14304.7 40975.6i −0.0926179 0.265302i
\(394\) 24948.0 43211.2i 0.160710 0.278358i
\(395\) 43174.9i 0.276718i
\(396\) 15146.8 38430.0i 0.0965896 0.245064i
\(397\) 35293.6 0.223931 0.111966 0.993712i \(-0.464285\pi\)
0.111966 + 0.993712i \(0.464285\pi\)
\(398\) 580.378 + 335.081i 0.00366391 + 0.00211536i
\(399\) 77277.2 + 66599.7i 0.485407 + 0.418337i
\(400\) −18244.9 31601.1i −0.114030 0.197507i
\(401\) −12861.6 + 7425.63i −0.0799844 + 0.0461790i −0.539459 0.842012i \(-0.681371\pi\)
0.459474 + 0.888191i \(0.348038\pi\)
\(402\) −84606.6 16071.8i −0.523543 0.0994517i
\(403\) −92356.1 + 159965.i −0.568664 + 0.984954i
\(404\) 138878.i 0.850885i
\(405\) 47340.5 + 10949.3i 0.288618 + 0.0667536i
\(406\) −238891. −1.44927
\(407\) 46795.9 + 27017.7i 0.282501 + 0.163102i
\(408\) 17498.9 92119.5i 0.105121 0.553390i
\(409\) −36029.2 62404.4i −0.215381 0.373051i 0.738009 0.674791i \(-0.235766\pi\)
−0.953390 + 0.301739i \(0.902433\pi\)
\(410\) −9182.21 + 5301.35i −0.0546235 + 0.0315369i
\(411\) −63414.2 + 73581.0i −0.375407 + 0.435594i
\(412\) −41314.9 + 71559.5i −0.243395 + 0.421573i
\(413\) 271542.i 1.59198i
\(414\) 8826.23 + 3478.77i 0.0514961 + 0.0202967i
\(415\) −37957.5 −0.220395
\(416\) 45460.7 + 26246.7i 0.262693 + 0.151666i
\(417\) 240274. 83880.7i 1.38177 0.482381i
\(418\) 16924.9 + 29314.7i 0.0968662 + 0.167777i
\(419\) −250399. + 144568.i −1.42628 + 0.823462i −0.996825 0.0796271i \(-0.974627\pi\)
−0.429453 + 0.903089i \(0.641294\pi\)
\(420\) 10611.1 + 30395.3i 0.0601538 + 0.172309i
\(421\) −60963.3 + 105592.i −0.343957 + 0.595751i −0.985164 0.171617i \(-0.945101\pi\)
0.641207 + 0.767368i \(0.278434\pi\)
\(422\) 101705.i 0.571109i
\(423\) −124960. 157160.i −0.698377 0.878339i
\(424\) −17495.7 −0.0973195
\(425\) −227349. 131260.i −1.25868 0.726699i
\(426\) −53434.0 46050.9i −0.294441 0.253758i
\(427\) −78578.6 136102.i −0.430971 0.746464i
\(428\) −50302.0 + 29041.9i −0.274598 + 0.158539i
\(429\) 163447. + 31048.2i 0.888099 + 0.168702i
\(430\) −14713.9 + 25485.1i −0.0795774 + 0.137832i
\(431\) 207467.i 1.11685i −0.829555 0.558426i \(-0.811406\pi\)
0.829555 0.558426i \(-0.188594\pi\)
\(432\) 21711.4 + 41296.5i 0.116338 + 0.221282i
\(433\) 88879.4 0.474051 0.237026 0.971503i \(-0.423827\pi\)
0.237026 + 0.971503i \(0.423827\pi\)
\(434\) −94201.7 54387.4i −0.500126 0.288748i
\(435\) 17400.9 91603.4i 0.0919588 0.484098i
\(436\) 7577.98 + 13125.5i 0.0398640 + 0.0690465i
\(437\) −6732.72 + 3887.14i −0.0352556 + 0.0203548i
\(438\) −58582.8 + 67975.0i −0.305367 + 0.354325i
\(439\) −74141.8 + 128417.i −0.384711 + 0.666339i −0.991729 0.128349i \(-0.959032\pi\)
0.607018 + 0.794688i \(0.292365\pi\)
\(440\) 10682.3i 0.0551772i
\(441\) 14877.8 + 99685.5i 0.0765001 + 0.512572i
\(442\) 377656. 1.93309
\(443\) 177795. + 102650.i 0.905967 + 0.523060i 0.879131 0.476580i \(-0.158124\pi\)
0.0268357 + 0.999640i \(0.491457\pi\)
\(444\) −57621.8 + 20116.0i −0.292295 + 0.102041i
\(445\) −4521.81 7832.01i −0.0228346 0.0395506i
\(446\) 133799. 77248.7i 0.672639 0.388348i
\(447\) −28966.9 82975.1i −0.144973 0.415272i
\(448\) −15456.4 + 26771.2i −0.0770108 + 0.133387i
\(449\) 112334.i 0.557211i 0.960406 + 0.278606i \(0.0898722\pi\)
−0.960406 + 0.278606i \(0.910128\pi\)
\(450\) 129192. 19281.7i 0.637987 0.0952180i
\(451\) −32265.9 −0.158632
\(452\) −66199.5 38220.3i −0.324025 0.187076i
\(453\) −5228.22 4505.83i −0.0254776 0.0219573i
\(454\) 110541. + 191462.i 0.536303 + 0.928904i
\(455\) −112294. + 64833.1i −0.542418 + 0.313165i
\(456\) −37561.1 7135.08i −0.180638 0.0343138i
\(457\) 115511. 200070.i 0.553082 0.957967i −0.444968 0.895547i \(-0.646785\pi\)
0.998050 0.0624202i \(-0.0198819\pi\)
\(458\) 34051.5i 0.162333i
\(459\) 283823. + 179198.i 1.34717 + 0.850564i
\(460\) −2453.41 −0.0115946
\(461\) −186017. 107397.i −0.875287 0.505347i −0.00618557 0.999981i \(-0.501969\pi\)
−0.869102 + 0.494634i \(0.835302\pi\)
\(462\) −18283.9 + 96251.7i −0.0856613 + 0.450946i
\(463\) 109663. + 189941.i 0.511561 + 0.886049i 0.999910 + 0.0134011i \(0.00426582\pi\)
−0.488349 + 0.872648i \(0.662401\pi\)
\(464\) 77535.2 44764.9i 0.360133 0.207923i
\(465\) 27716.6 32160.2i 0.128184 0.148735i
\(466\) −134910. + 233672.i −0.621260 + 1.07605i
\(467\) 62261.6i 0.285487i −0.989760 0.142744i \(-0.954408\pi\)
0.989760 0.142744i \(-0.0455924\pi\)
\(468\) −147085. + 116949.i −0.671547 + 0.533955i
\(469\) 204259. 0.928616
\(470\) 44967.5 + 25962.0i 0.203565 + 0.117528i
\(471\) −44115.5 + 15400.9i −0.198861 + 0.0694231i
\(472\) 50883.2 + 88132.2i 0.228397 + 0.395595i
\(473\) −77555.8 + 44776.9i −0.346651 + 0.200139i
\(474\) −48912.9 140110.i −0.217704 0.623608i
\(475\) −53520.5 + 92700.2i −0.237210 + 0.410859i
\(476\) 222397.i 0.981557i
\(477\) 22965.5 58267.3i 0.100934 0.256088i
\(478\) −289502. −1.26706
\(479\) 186527. + 107692.i 0.812964 + 0.469365i 0.847984 0.530022i \(-0.177816\pi\)
−0.0350204 + 0.999387i \(0.511150\pi\)
\(480\) −9139.64 7876.80i −0.0396686 0.0341875i
\(481\) −122907. 212881.i −0.531235 0.920126i
\(482\) 131459. 75897.7i 0.565842 0.326689i
\(483\) −22106.2 4199.27i −0.0947588 0.0180003i
\(484\) 42309.9 73283.0i 0.180614 0.312833i
\(485\) 109128.i 0.463929i
\(486\) −166032. + 18099.9i −0.702942 + 0.0766307i
\(487\) −387518. −1.63393 −0.816966 0.576687i \(-0.804345\pi\)
−0.816966 + 0.576687i \(0.804345\pi\)
\(488\) 51007.3 + 29449.1i 0.214187 + 0.123661i
\(489\) −40614.0 + 213804.i −0.169847 + 0.894124i
\(490\) −13032.4 22572.8i −0.0542791 0.0940141i
\(491\) 69131.7 39913.2i 0.286757 0.165559i −0.349721 0.936854i \(-0.613724\pi\)
0.636478 + 0.771295i \(0.280390\pi\)
\(492\) 23791.9 27606.3i 0.0982875 0.114045i
\(493\) 322055. 557815.i 1.32506 2.29507i
\(494\) 153987.i 0.631001i
\(495\) −35576.1 14022.0i −0.145194 0.0572268i
\(496\) 40765.7 0.165704
\(497\) 144892. + 83653.6i 0.586587 + 0.338666i
\(498\) 123178. 43002.0i 0.496679 0.173392i
\(499\) −36722.7 63605.6i −0.147480 0.255443i 0.782815 0.622254i \(-0.213783\pi\)
−0.930296 + 0.366811i \(0.880450\pi\)
\(500\) −61322.9 + 35404.8i −0.245292 + 0.141619i
\(501\) 64564.5 + 184943.i 0.257228 + 0.736824i
\(502\) 141124. 244434.i 0.560006 0.969960i
\(503\) 465077.i 1.83818i 0.394045 + 0.919091i \(0.371075\pi\)
−0.394045 + 0.919091i \(0.628925\pi\)
\(504\) −68869.7 86616.5i −0.271124 0.340988i
\(505\) −128565. −0.504127
\(506\) −6465.88 3733.08i −0.0252538 0.0145803i
\(507\) −378590. 326280.i −1.47283 1.26933i
\(508\) 30195.9 + 52300.8i 0.117009 + 0.202666i
\(509\) −82539.6 + 47654.3i −0.318586 + 0.183936i −0.650762 0.759282i \(-0.725551\pi\)
0.332176 + 0.943217i \(0.392217\pi\)
\(510\) −85278.7 16199.5i −0.327869 0.0622816i
\(511\) 106418. 184322.i 0.407545 0.705888i
\(512\) 11585.2i 0.0441942i
\(513\) 73066.7 115727.i 0.277642 0.439745i
\(514\) −7346.50 −0.0278070
\(515\) 66245.4 + 38246.8i 0.249771 + 0.144205i
\(516\) 18876.8 99372.8i 0.0708970 0.373223i
\(517\) 79007.0 + 136844.i 0.295587 + 0.511971i
\(518\) 125363. 72378.4i 0.467208 0.269743i
\(519\) 141045. 163658.i 0.523629 0.607579i
\(520\) 24297.6 42084.7i 0.0898581 0.155639i
\(521\) 173345.i 0.638612i 0.947652 + 0.319306i \(0.103450\pi\)
−0.947652 + 0.319306i \(0.896550\pi\)
\(522\) 47308.7 + 316982.i 0.173620 + 1.16330i
\(523\) −403535. −1.47529 −0.737646 0.675187i \(-0.764063\pi\)
−0.737646 + 0.675187i \(0.764063\pi\)
\(524\) −33409.9 19289.2i −0.121678 0.0702509i
\(525\) −292502. + 102114.i −1.06123 + 0.370480i
\(526\) −178500. 309171.i −0.645158 1.11745i
\(527\) 253991. 146642.i 0.914527 0.528002i
\(528\) −12102.0 34665.8i −0.0434099 0.124347i
\(529\) −139063. + 240864.i −0.496936 + 0.860719i
\(530\) 16196.5i 0.0576592i
\(531\) −360305. + 53774.6i −1.27785 + 0.190717i
\(532\) 90681.0 0.320400
\(533\) 127117. + 73391.0i 0.447455 + 0.258338i
\(534\) 23546.9 + 20293.4i 0.0825755 + 0.0711660i
\(535\) 26885.2 + 46566.5i 0.0939303 + 0.162692i
\(536\) −66294.9 + 38275.4i −0.230755 + 0.133226i
\(537\) 363679. + 69084.1i 1.26116 + 0.239568i
\(538\) −20328.9 + 35210.6i −0.0702342 + 0.121649i
\(539\) 79319.8i 0.273026i
\(540\) 38229.8 20099.1i 0.131103 0.0689269i
\(541\) 280182. 0.957295 0.478648 0.878007i \(-0.341127\pi\)
0.478648 + 0.878007i \(0.341127\pi\)
\(542\) −132569. 76538.6i −0.451276 0.260545i
\(543\) −53828.2 + 283368.i −0.182562 + 0.961060i
\(544\) −41674.1 72181.7i −0.140821 0.243910i
\(545\) 12150.8 7015.24i 0.0409082 0.0236183i
\(546\) 290964. 337612.i 0.976008 1.13249i
\(547\) 48219.9 83519.3i 0.161158 0.279134i −0.774126 0.633031i \(-0.781811\pi\)
0.935284 + 0.353898i \(0.115144\pi\)
\(548\) 86343.6i 0.287521i
\(549\) −165031. + 131218.i −0.547545 + 0.435359i
\(550\) −102799. −0.339830
\(551\) −227446. 131316.i −0.749160 0.432528i
\(552\) 7961.72 2779.47i 0.0261293 0.00912186i
\(553\) 175991. + 304825.i 0.575493 + 0.996784i
\(554\) −77432.8 + 44705.8i −0.252293 + 0.145661i
\(555\) 18622.2 + 53342.8i 0.0604567 + 0.173177i
\(556\) 113109. 195910.i 0.365887 0.633735i
\(557\) 403818.i 1.30159i −0.759252 0.650797i \(-0.774435\pi\)
0.759252 0.650797i \(-0.225565\pi\)
\(558\) −53510.6 + 135765.i −0.171859 + 0.436034i
\(559\) 407392. 1.30373
\(560\) 24783.2 + 14308.6i 0.0790280 + 0.0456268i
\(561\) −200100. 172452.i −0.635802 0.547953i
\(562\) 144504. + 250289.i 0.457518 + 0.792444i
\(563\) −12809.4 + 7395.51i −0.0404122 + 0.0233320i −0.520070 0.854124i \(-0.674094\pi\)
0.479658 + 0.877456i \(0.340761\pi\)
\(564\) −175339. 33307.3i −0.551216 0.104708i
\(565\) −35382.0 + 61283.5i −0.110837 + 0.191976i
\(566\) 411067.i 1.28316i
\(567\) 378867. 115666.i 1.17848 0.359783i
\(568\) −62702.1 −0.194350
\(569\) 210701. + 121648.i 0.650792 + 0.375735i 0.788760 0.614702i \(-0.210724\pi\)
−0.137968 + 0.990437i \(0.544057\pi\)
\(570\) −6605.22 + 34771.8i −0.0203300 + 0.107023i
\(571\) 217151. + 376117.i 0.666025 + 1.15359i 0.979006 + 0.203829i \(0.0653388\pi\)
−0.312982 + 0.949759i \(0.601328\pi\)
\(572\) 128071. 73942.0i 0.391435 0.225995i
\(573\) −77643.2 + 90091.3i −0.236480 + 0.274393i
\(574\) −43219.1 + 74857.6i −0.131175 + 0.227202i
\(575\) 23609.8i 0.0714096i
\(576\) 38583.3 + 15207.2i 0.116293 + 0.0458358i
\(577\) −404030. −1.21356 −0.606781 0.794869i \(-0.707540\pi\)
−0.606781 + 0.794869i \(0.707540\pi\)
\(578\) −314717. 181702.i −0.942029 0.543881i
\(579\) 15183.7 5300.68i 0.0452918 0.0158115i
\(580\) −41440.7 71777.4i −0.123189 0.213369i
\(581\) −267989. + 154723.i −0.793898 + 0.458357i
\(582\) 123631. + 354137.i 0.364990 + 1.04550i
\(583\) −24644.4 + 42685.3i −0.0725071 + 0.125586i
\(584\) 79765.4i 0.233878i
\(585\) 108264. + 136162.i 0.316354 + 0.397874i
\(586\) −130798. −0.380894
\(587\) −176946. 102160.i −0.513528 0.296486i 0.220754 0.975329i \(-0.429148\pi\)
−0.734283 + 0.678844i \(0.762481\pi\)
\(588\) 67865.0 + 58488.0i 0.196287 + 0.169166i
\(589\) −59792.1 103563.i −0.172351 0.298521i
\(590\) 81587.5 47104.6i 0.234379 0.135319i
\(591\) 155979. + 29629.6i 0.446571 + 0.0848302i
\(592\) −27125.4 + 46982.6i −0.0773986 + 0.134058i
\(593\) 569645.i 1.61993i −0.586481 0.809963i \(-0.699487\pi\)
0.586481 0.809963i \(-0.300513\pi\)
\(594\) 131336. + 5199.48i 0.372229 + 0.0147362i
\(595\) 205882. 0.581546
\(596\) −67654.7 39060.5i −0.190461 0.109963i
\(597\) −397.961 + 2094.98i −0.00111658 + 0.00587803i
\(598\) 16982.3 + 29414.2i 0.0474891 + 0.0822535i
\(599\) 242136. 139797.i 0.674846 0.389623i −0.123064 0.992399i \(-0.539272\pi\)
0.797910 + 0.602776i \(0.205939\pi\)
\(600\) 75800.5 87953.1i 0.210557 0.244314i
\(601\) −114264. + 197910.i −0.316344 + 0.547923i −0.979722 0.200361i \(-0.935789\pi\)
0.663379 + 0.748284i \(0.269122\pi\)
\(602\) 239908.i 0.661991i
\(603\) −40450.4 271029.i −0.111247 0.745385i
\(604\) −6135.06 −0.0168169
\(605\) −67840.9 39168.0i −0.185345 0.107009i
\(606\) 417214. 145651.i 1.13609 0.396615i
\(607\) 95669.3 + 165704.i 0.259654 + 0.449734i 0.966149 0.257984i \(-0.0830581\pi\)
−0.706495 + 0.707718i \(0.749725\pi\)
\(608\) −29431.6 + 16992.4i −0.0796173 + 0.0459671i
\(609\) −250542. 717672.i −0.675533 1.93505i
\(610\) 27262.2 47219.4i 0.0732657 0.126900i
\(611\) 718828.i 1.92550i
\(612\) 295096. 44042.3i 0.787880 0.117589i
\(613\) −446105. −1.18718 −0.593589 0.804768i \(-0.702290\pi\)
−0.593589 + 0.804768i \(0.702290\pi\)
\(614\) −26298.7 15183.6i −0.0697585 0.0402751i
\(615\) −25556.2 22025.1i −0.0675688 0.0582327i
\(616\) 43543.5 + 75419.6i 0.114753 + 0.198757i
\(617\) −283400. + 163621.i −0.744439 + 0.429802i −0.823681 0.567053i \(-0.808083\pi\)
0.0792421 + 0.996855i \(0.474750\pi\)
\(618\) −258307. 49067.8i −0.676332 0.128475i
\(619\) −55163.0 + 95545.2i −0.143968 + 0.249360i −0.928988 0.370111i \(-0.879320\pi\)
0.785019 + 0.619471i \(0.212653\pi\)
\(620\) 37738.5i 0.0981749i
\(621\) −1194.17 + 30164.0i −0.00309658 + 0.0782178i
\(622\) −628.051 −0.00162336
\(623\) −63850.2 36863.9i −0.164508 0.0949785i
\(624\) −31172.0 + 164099.i −0.0800564 + 0.421440i
\(625\) −145397. 251835.i −0.372216 0.644698i
\(626\) −359282. + 207432.i −0.916827 + 0.529330i
\(627\) −70316.3 + 81589.6i −0.178863 + 0.207539i
\(628\) −20767.3 + 35970.0i −0.0526576 + 0.0912056i
\(629\) 390300.i 0.986500i
\(630\) −80184.3 + 63755.4i −0.202027 + 0.160634i
\(631\) 321684. 0.807925 0.403962 0.914776i \(-0.367633\pi\)
0.403962 + 0.914776i \(0.367633\pi\)
\(632\) −114240. 65956.5i −0.286012 0.165129i
\(633\) 305541. 106666.i 0.762539 0.266205i
\(634\) −249528. 432195.i −0.620784 1.07523i
\(635\) 48416.9 27953.5i 0.120074 0.0693248i
\(636\) −18349.0 52560.2i −0.0453626 0.129940i
\(637\) −180418. + 312494.i −0.444633 + 0.770128i
\(638\) 252223.i 0.619645i
\(639\) 82305.2 208822.i 0.201570 0.511416i
\(640\) −10724.9 −0.0261839
\(641\) 215079. + 124176.i 0.523457 + 0.302218i 0.738348 0.674420i \(-0.235606\pi\)
−0.214891 + 0.976638i \(0.568940\pi\)
\(642\) −140002. 120658.i −0.339676 0.292742i
\(643\) −218681. 378766.i −0.528918 0.916113i −0.999431 0.0337200i \(-0.989265\pi\)
0.470513 0.882393i \(-0.344069\pi\)
\(644\) −17321.7 + 10000.7i −0.0417655 + 0.0241133i
\(645\) −91993.3 17475.0i −0.221125 0.0420046i
\(646\) −122249. + 211742.i −0.292941 + 0.507389i
\(647\) 721599.i 1.72380i 0.507076 + 0.861901i \(0.330726\pi\)
−0.507076 + 0.861901i \(0.669274\pi\)
\(648\) −101292. + 108535.i −0.241226 + 0.258477i
\(649\) 286695. 0.680661
\(650\) 404992. + 233822.i 0.958562 + 0.553426i
\(651\) 64593.4 340038.i 0.152414 0.802354i
\(652\) 96723.2 + 167530.i 0.227528 + 0.394091i
\(653\) −110385. + 63730.7i −0.258871 + 0.149459i −0.623819 0.781569i \(-0.714420\pi\)
0.364949 + 0.931028i \(0.381087\pi\)
\(654\) −31483.6 + 36531.2i −0.0736087 + 0.0854099i
\(655\) −17856.8 + 30928.9i −0.0416218 + 0.0720910i
\(656\) 32394.6i 0.0752775i
\(657\) −265649. 104703.i −0.615428 0.242565i
\(658\) 423309. 0.977700
\(659\) 137086. + 79146.9i 0.315663 + 0.182248i 0.649458 0.760398i \(-0.274996\pi\)
−0.333795 + 0.942646i \(0.608329\pi\)
\(660\) −32091.5 + 11203.3i −0.0736720 + 0.0257192i
\(661\) 285009. + 493649.i 0.652311 + 1.12984i 0.982561 + 0.185943i \(0.0595338\pi\)
−0.330249 + 0.943894i \(0.607133\pi\)
\(662\) 235732. 136100.i 0.537901 0.310557i
\(663\) 396075. + 1.13455e6i 0.901052 + 2.58104i
\(664\) 57986.0 100435.i 0.131519 0.227797i
\(665\) 83947.0i 0.189829i
\(666\) −120864. 152009.i −0.272489 0.342706i
\(667\) 57928.1 0.130208
\(668\) 150796. + 87062.0i 0.337937 + 0.195108i
\(669\) 372393. + 320939.i 0.832049 + 0.717084i
\(670\) 35433.0 + 61371.8i 0.0789330 + 0.136716i
\(671\) 143697. 82963.6i 0.319156 0.184265i
\(672\) −96635.7 18356.8i −0.213993 0.0406499i
\(673\) 134677. 233267.i 0.297347 0.515020i −0.678181 0.734895i \(-0.737232\pi\)
0.975528 + 0.219875i \(0.0705649\pi\)
\(674\) 336081.i 0.739817i
\(675\) 193419. + 367895.i 0.424513 + 0.807451i
\(676\) −444257. −0.972166
\(677\) 393590. + 227240.i 0.858751 + 0.495800i 0.863594 0.504188i \(-0.168208\pi\)
−0.00484289 + 0.999988i \(0.501542\pi\)
\(678\) 45392.5 238959.i 0.0987472 0.519834i
\(679\) −444830. 770468.i −0.964838 1.67115i
\(680\) −66821.5 + 38579.4i −0.144510 + 0.0834329i
\(681\) −459254. + 532883.i −0.990281 + 1.14905i
\(682\) 57422.4 99458.5i 0.123456 0.213832i
\(683\) 225234.i 0.482827i 0.970422 + 0.241414i \(0.0776110\pi\)
−0.970422 + 0.241414i \(0.922389\pi\)
\(684\) −17958.0 120323.i −0.0383835 0.257180i
\(685\) 79931.7 0.170348
\(686\) 171064. + 98763.7i 0.363504 + 0.209869i
\(687\) −102297. + 35712.3i −0.216745 + 0.0756665i
\(688\) −44955.5 77865.2i −0.0949742 0.164500i
\(689\) 194181. 112111.i 0.409043 0.236161i
\(690\) −2573.06 7370.48i −0.00540446 0.0154809i
\(691\) 252440. 437240.i 0.528692 0.915722i −0.470748 0.882268i \(-0.656016\pi\)
0.999440 0.0334540i \(-0.0106507\pi\)
\(692\) 192045.i 0.401042i
\(693\) −308333. + 46017.9i −0.642027 + 0.0958209i
\(694\) 551981. 1.14605
\(695\) −181362. 104709.i −0.375471 0.216778i
\(696\) 215798. + 185981.i 0.445482 + 0.383929i
\(697\) −116529. 201834.i −0.239866 0.415460i
\(698\) 191538. 110585.i 0.393138 0.226978i
\(699\) −843481. 160227.i −1.72632 0.327930i
\(700\) −137695. + 238495.i −0.281010 + 0.486724i
\(701\) 19860.8i 0.0404166i 0.999796 + 0.0202083i \(0.00643294\pi\)
−0.999796 + 0.0202083i \(0.993567\pi\)
\(702\) −505593. 319217.i −1.02595 0.647756i
\(703\) 159142. 0.322014
\(704\) −28265.2 16318.9i −0.0570304 0.0329265i
\(705\) −30833.9 + 162319.i −0.0620369 + 0.326580i
\(706\) −8800.91 15243.6i −0.0176571 0.0305829i
\(707\) −907699. + 524060.i −1.81595 + 1.04844i
\(708\) −211400. + 245292.i −0.421734 + 0.489348i
\(709\) −315420. + 546324.i −0.627476 + 1.08682i 0.360580 + 0.932728i \(0.382579\pi\)
−0.988056 + 0.154093i \(0.950755\pi\)
\(710\) 58045.8i 0.115147i
\(711\) 369616. 293886.i 0.731159 0.581353i
\(712\) 27631.1 0.0545053
\(713\) 22842.7 + 13188.2i 0.0449333 + 0.0259422i
\(714\) −668121. + 233244.i −1.31056 + 0.457523i
\(715\) −68451.0 118561.i −0.133896 0.231915i
\(716\) 284967. 164526.i 0.555863 0.320928i
\(717\) −303621. 869716.i −0.590601 1.69176i
\(718\) 178654. 309438.i 0.346549 0.600240i
\(719\) 337555.i 0.652960i 0.945204 + 0.326480i \(0.105863\pi\)
−0.945204 + 0.326480i \(0.894137\pi\)
\(720\) 14077.9 35718.0i 0.0271565 0.0689005i
\(721\) 623612. 1.19962
\(722\) −232884. 134455.i −0.446750 0.257931i
\(723\) 365880. + 315326.i 0.699942 + 0.603230i
\(724\) 128193. + 222037.i 0.244561 + 0.423593i
\(725\) 690732. 398794.i 1.31412 0.758705i
\(726\) 264528. + 50249.6i 0.501879 + 0.0953365i
\(727\) 257481. 445970.i 0.487165 0.843795i −0.512726 0.858552i \(-0.671364\pi\)
0.999891 + 0.0147576i \(0.00469766\pi\)
\(728\) 396171.i 0.747515i
\(729\) −228505. 479807.i −0.429972 0.902842i
\(730\) 73841.9 0.138566
\(731\) −560189. 323426.i −1.04834 0.605257i
\(732\) −34975.3 + 184120.i −0.0652739 + 0.343621i
\(733\) −508070. 880002.i −0.945617 1.63786i −0.754511 0.656287i \(-0.772126\pi\)
−0.191106 0.981569i \(-0.561207\pi\)
\(734\) −294685. + 170136.i −0.546972 + 0.315795i
\(735\) 54144.7 62825.3i 0.100226 0.116295i
\(736\) 3747.97 6491.68i 0.00691896 0.0119840i
\(737\) 215658.i 0.397036i
\(738\) 107886. + 42522.4i 0.198086 + 0.0780737i
\(739\) −663801. −1.21548 −0.607742 0.794135i \(-0.707924\pi\)
−0.607742 + 0.794135i \(0.707924\pi\)
\(740\) 43493.7 + 25111.1i 0.0794260 + 0.0458566i
\(741\) 462604. 161497.i 0.842506 0.294122i
\(742\) 66020.5 + 114351.i 0.119914 + 0.207698i
\(743\) 619586. 357718.i 1.12234 0.647982i 0.180341 0.983604i \(-0.442280\pi\)
0.941997 + 0.335622i \(0.108946\pi\)
\(744\) 42753.9 + 122467.i 0.0772378 + 0.221246i
\(745\) −36159.8 + 62630.6i −0.0651499 + 0.112843i
\(746\) 185292.i 0.332950i
\(747\) 258371. + 324950.i 0.463024 + 0.582338i
\(748\) −234808. −0.419671
\(749\) 379632. + 219181.i 0.676705 + 0.390696i
\(750\) −170676. 147093.i −0.303424 0.261499i
\(751\) 221593. + 383811.i 0.392895 + 0.680514i 0.992830 0.119535i \(-0.0381402\pi\)
−0.599935 + 0.800049i \(0.704807\pi\)
\(752\) −137390. + 79322.2i −0.242952 + 0.140268i
\(753\) 882329. + 167606.i 1.55611 + 0.295597i
\(754\) −573698. + 993674.i −1.00911 + 1.74784i
\(755\) 5679.47i 0.00996355i
\(756\) 187983. 297738.i 0.328908 0.520943i
\(757\) −270550. −0.472123 −0.236061 0.971738i \(-0.575857\pi\)
−0.236061 + 0.971738i \(0.575857\pi\)
\(758\) 316348. + 182644.i 0.550588 + 0.317882i
\(759\) 4433.61 23339.8i 0.00769615 0.0405148i
\(760\) 15730.5 + 27246.0i 0.0272343 + 0.0471711i
\(761\) −507749. + 293149.i −0.876758 + 0.506196i −0.869588 0.493778i \(-0.835616\pi\)
−0.00716962 + 0.999974i \(0.502282\pi\)
\(762\) −125452. + 145565.i −0.216057 + 0.250696i
\(763\) 57191.5 99058.5i 0.0982386 0.170154i
\(764\) 105718.i 0.181118i
\(765\) −40771.7 273182.i −0.0696684 0.466798i
\(766\) 202406. 0.344958
\(767\) −1.12948e6 652108.i −1.91995