Properties

Label 18.5.d.a.5.3
Level $18$
Weight $5$
Character 18.5
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 5.3
Root \(0.500000 + 2.20403i\) of defining polynomial
Character \(\chi\) \(=\) 18.5
Dual form 18.5.d.a.11.3

$q$-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 \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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 0.622759 0.782414i \(-0.286012\pi\)
−0.366211 + 0.930532i \(0.619345\pi\)
\(6\) −16.6185 19.2828i −0.461624 0.535633i
\(7\) 30.1882 + 52.2875i 0.616086 + 1.06709i 0.990193 + 0.139707i \(0.0446161\pi\)
−0.374107 + 0.927386i \(0.622051\pi\)
\(8\) 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 −0.254220 0.967146i \(-0.581819\pi\)
0.710463 + 0.703734i \(0.248485\pi\)
\(12\) −67.9768 23.7310i −0.472061 0.164798i
\(13\) −144.994 + 251.137i −0.857953 + 1.48602i 0.0159253 + 0.999873i \(0.494931\pi\)
−0.873878 + 0.486145i \(0.838403\pi\)
\(14\) 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 \(-0.706626\pi\)
0.604498 0.796606i \(-0.293374\pi\)
\(18\) −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 0.465721 0.884932i \(-0.345795\pi\)
−0.533513 + 0.845792i \(0.679128\pi\)
\(24\) −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 −0.997885 0.0650051i \(-0.979294\pi\)
−0.442646 + 0.896696i \(0.645960\pi\)
\(30\) −35.1827 185.212i −0.0390918 0.205791i
\(31\) −318.482 + 551.628i −0.331407 + 0.574014i −0.982788 0.184737i \(-0.940857\pi\)
0.651381 + 0.758751i \(0.274190\pi\)
\(32\) −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 0.363916 0.931432i \(-0.381439\pi\)
−0.624685 + 0.780877i \(0.714773\pi\)
\(42\) 506.568 1451.05i 0.287170 0.822592i
\(43\) −702.429 1216.64i −0.379897 0.658001i 0.611150 0.791515i \(-0.290707\pi\)
−0.991047 + 0.133514i \(0.957374\pi\)
\(44\) 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 0.0720198 0.997403i \(-0.477056\pi\)
0.899786 + 0.436331i \(0.143722\pi\)
\(48\) −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 \(-0.956051\pi\)
0.990484 0.137630i \(-0.0439486\pi\)
\(54\) 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 0.941123 0.338065i \(-0.109772\pi\)
0.177789 + 0.984069i \(0.443106\pi\)
\(60\) −348.109 403.919i −0.0966968 0.112200i
\(61\) 1301.48 + 2254.22i 0.349765 + 0.605811i 0.986208 0.165513i \(-0.0529280\pi\)
−0.636442 + 0.771324i \(0.719595\pi\)
\(62\) 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 −0.613777 0.789479i \(-0.710351\pi\)
0.990598 + 0.136807i \(0.0436840\pi\)
\(68\) −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 \(-0.911371\pi\)
0.961486 0.274853i \(-0.0886292\pi\)
\(72\) 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 0.532236 0.846596i \(-0.321352\pi\)
−0.999292 + 0.0376317i \(0.988019\pi\)
\(80\) 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 −0.786272 0.617881i \(-0.787991\pi\)
0.141965 + 0.989872i \(0.454658\pi\)
\(84\) −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 \(0.0245604\pi\)
−0.997025 + 0.0770822i \(0.975440\pi\)
\(90\) −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 0.930164 + 0.367144i \(0.119664\pi\)
−0.147126 + 0.989118i \(0.547002\pi\)
\(98\) 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 −0.999564 0.0295251i \(-0.990601\pi\)
−0.474213 + 0.880410i \(0.657267\pi\)
\(102\) −8878.54 + 7651.78i −0.853378 + 0.735466i
\(103\) 5164.36 8944.94i 0.486791 0.843146i −0.513094 0.858332i \(-0.671501\pi\)
0.999885 + 0.0151863i \(0.00483414\pi\)
\(104\) 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 \(-0.897298\pi\)
0.948399 0.317079i \(-0.102702\pi\)
\(108\) 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 0.139659 0.990200i \(-0.455399\pi\)
−0.787708 + 0.616048i \(0.788733\pi\)
\(114\) −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 0.373362 0.927686i \(-0.378205\pi\)
−0.616718 + 0.787184i \(0.711538\pi\)
\(132\) −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 −0.229887 0.973217i \(-0.573836\pi\)
0.727887 + 0.685697i \(0.240502\pi\)
\(138\) 196.721 + 1035.60i 0.0103298 + 0.0543792i
\(139\) −14138.6 + 24488.8i −0.731774 + 1.26747i 0.224350 + 0.974509i \(0.427974\pi\)
−0.956124 + 0.292961i \(0.905359\pi\)
\(140\) 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 0.297298 0.954785i \(-0.403915\pi\)
−0.678219 + 0.734860i \(0.737248\pi\)
\(150\) −4783.67 + 13702.7i −0.212608 + 0.609009i
\(151\) −383.441 664.140i −0.0168169 0.0291277i 0.857495 0.514493i \(-0.172020\pi\)
−0.874311 + 0.485365i \(0.838687\pi\)
\(152\) 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 −0.808552 0.588425i \(-0.799748\pi\)
0.913867 + 0.406014i \(0.133082\pi\)
\(158\) −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 0.798299 0.602261i \(-0.205734\pi\)
−0.122424 + 0.992478i \(0.539067\pi\)
\(168\) −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 −0.805342 0.592810i \(-0.798019\pi\)
0.110717 + 0.993852i \(0.464685\pi\)
\(174\) 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 \(0.221835\pi\)
−0.766826 + 0.641855i \(0.778165\pi\)
\(180\) −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 −0.334878 0.942261i \(-0.608695\pi\)
0.648583 + 0.761144i \(0.275362\pi\)
\(192\) 859.953 + 4527.05i 0.0233277 + 0.122804i
\(193\) −893.462 + 1547.52i −0.0239862 + 0.0415453i −0.877769 0.479083i \(-0.840969\pi\)
0.853783 + 0.520629i \(0.174302\pi\)
\(194\) 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 \(0.0729828\pi\)
−0.973830 + 0.227278i \(0.927017\pi\)
\(198\) −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 −0.994185 0.107684i \(-0.965656\pi\)
0.590350 + 0.807147i \(0.298990\pi\)
\(212\) −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 0.998329 + 0.0577846i \(0.0184036\pi\)
−0.449122 + 0.893471i \(0.648263\pi\)
\(224\) 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 0.330967 0.943642i \(-0.392625\pi\)
0.982702 + 0.185196i \(0.0592919\pi\)
\(228\) −12762.0 4455.27i −0.245499 0.0857047i
\(229\) 6019.52 10426.1i 0.114787 0.198816i −0.802908 0.596103i \(-0.796715\pi\)
0.917694 + 0.397287i \(0.130048\pi\)
\(230\) −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 \(-0.658482\pi\)
0.477568 0.878595i \(-0.341518\pi\)
\(234\) −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 −0.997994 0.0633127i \(-0.979833\pi\)
−0.553827 0.832632i \(-0.686833\pi\)
\(240\) −4190.87 + 796.093i −0.0727581 + 0.0138211i
\(241\) 26833.9 + 46477.6i 0.462008 + 0.800221i 0.999061 0.0433274i \(-0.0137959\pi\)
−0.537053 + 0.843548i \(0.680463\pi\)
\(242\) 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 \(0.290944\pi\)
−0.610562 + 0.791969i \(0.709056\pi\)
\(252\) −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 0.482875 0.875689i \(-0.339593\pi\)
−0.516932 + 0.856027i \(0.672926\pi\)
\(258\) −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 −0.585495 + 0.810676i \(0.699100\pi\)
−0.994814 + 0.101716i \(0.967567\pi\)
\(264\) −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 \(-0.968331\pi\)
0.995055 0.0993262i \(-0.0316687\pi\)
\(270\) 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 0.744453 0.667674i \(-0.232710\pi\)
−0.950450 + 0.310878i \(0.899377\pi\)
\(278\) 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 0.179109 0.983829i \(-0.442678\pi\)
0.941576 + 0.336801i \(0.109345\pi\)
\(282\) −59574.5 20797.7i −0.749138 0.261527i
\(283\) 72667.1 125863.i 0.907329 1.57154i 0.0895693 0.995981i \(-0.471451\pi\)
0.817760 0.575560i \(-0.195216\pi\)
\(284\) −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 0.248274 0.968690i \(-0.420137\pi\)
−0.714773 + 0.699357i \(0.753470\pi\)
\(294\) 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 0.499006 0.866599i \(-0.333699\pi\)
−0.500994 + 0.865451i \(0.667032\pi\)
\(312\) 19464.4 55755.2i 0.199955 0.572765i
\(313\) −73338.2 127026.i −0.748586 1.29659i −0.948500 0.316776i \(-0.897400\pi\)
0.199914 0.979813i \(-0.435934\pi\)
\(314\) 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 −0.520901 + 0.853617i \(0.674404\pi\)
−0.999705 + 0.0243045i \(0.992263\pi\)
\(318\) −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 0.997628 0.0688427i \(-0.0219306\pi\)
−0.558433 + 0.829549i \(0.688597\pi\)
\(332\) 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 0.476508 + 0.879170i \(0.341902\pi\)
−0.999638 + 0.0269171i \(0.991431\pi\)
\(338\) −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 0.994762 0.102214i \(-0.0325926\pi\)
0.408861 + 0.912597i \(0.365926\pi\)
\(348\) 98951.6 18796.8i 0.817080 0.155212i
\(349\) 39097.6 + 67719.0i 0.320995 + 0.555981i 0.980694 0.195550i \(-0.0626492\pi\)
−0.659698 + 0.751531i \(0.729316\pi\)
\(350\) 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 −0.521469 0.853270i \(-0.674616\pi\)
0.478219 + 0.878241i \(0.341283\pi\)
\(354\) −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 \(0.163038\pi\)
−0.871670 + 0.490094i \(0.836962\pi\)
\(360\) −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 0.551561 0.834134i \(-0.314032\pi\)
−0.998162 + 0.0605988i \(0.980699\pi\)
\(368\) 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 −0.723966 0.689835i \(-0.757683\pi\)
0.959398 + 0.282056i \(0.0910163\pi\)
\(374\) −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 0.696140 0.717906i \(-0.254899\pi\)
−0.273655 + 0.961828i \(0.588233\pi\)
\(384\) 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 −0.555744 0.831354i \(-0.687566\pi\)
0.442102 + 0.896965i \(0.354233\pi\)
\(390\) 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 0.459474 0.888191i \(-0.348038\pi\)
−0.539459 + 0.842012i \(0.681371\pi\)
\(402\) −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 −0.953390 0.301739i \(-0.902433\pi\)
0.738009 + 0.674791i \(0.235766\pi\)
\(410\) −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 −0.429453 0.903089i \(-0.641294\pi\)
−0.996825 + 0.0796271i \(0.974627\pi\)
\(420\) 10611.1 30395.3i 0.0601538 0.172309i
\(421\) −60963.3 105592.i −0.343957 0.595751i 0.641207 0.767368i \(-0.278434\pi\)
−0.985164 + 0.171617i \(0.945101\pi\)
\(422\) 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 \(0.188594\pi\)
−0.829555 + 0.558426i \(0.811406\pi\)
\(432\) 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 0.607018 0.794688i \(-0.292365\pi\)
−0.991729 + 0.128349i \(0.959032\pi\)
\(440\) 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 0.0268357 0.999640i \(-0.491457\pi\)
0.879131 + 0.476580i \(0.158124\pi\)
\(444\) −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 \(-0.910128\pi\)
0.960406 0.278606i \(-0.0898722\pi\)
\(450\) 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 0.998050 + 0.0624202i \(0.0198819\pi\)
−0.444968 + 0.895547i \(0.646785\pi\)
\(458\) 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 −0.869102 0.494634i \(-0.835302\pi\)
−0.00618557 + 0.999981i \(0.501969\pi\)
\(462\) −18283.9 96251.7i −0.0856613 0.450946i
\(463\) 109663. 189941.i 0.511561 0.886049i −0.488349 0.872648i \(-0.662401\pi\)
0.999910 0.0134011i \(-0.00426582\pi\)
\(464\) 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 \(0.0455924\pi\)
−0.989760 + 0.142744i \(0.954408\pi\)
\(468\) −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 −0.0350204 0.999387i \(-0.511150\pi\)
0.847984 + 0.530022i \(0.177816\pi\)
\(480\) −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 0.636478 0.771295i \(-0.280390\pi\)
−0.349721 + 0.936854i \(0.613724\pi\)
\(492\) 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 −0.930296 0.366811i \(-0.880450\pi\)
0.782815 + 0.622254i \(0.213783\pi\)
\(500\) −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 \(-0.628925\pi\)
0.394045 0.919091i \(-0.371075\pi\)
\(504\) −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 0.332176 0.943217i \(-0.392217\pi\)
−0.650762 + 0.759282i \(0.725551\pi\)
\(510\) −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 \(-0.896550\pi\)
0.947652 0.319306i \(-0.103450\pi\)
\(522\) 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 0.935284 0.353898i \(-0.115144\pi\)
−0.774126 + 0.633031i \(0.781811\pi\)
\(548\) 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 \(0.225565\pi\)
−0.759252 + 0.650797i \(0.774435\pi\)
\(558\) −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 0.479658 0.877456i \(-0.340761\pi\)
−0.520070 + 0.854124i \(0.674094\pi\)
\(564\) −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 −0.137968 0.990437i \(-0.544057\pi\)
0.788760 + 0.614702i \(0.210724\pi\)
\(570\) −6605.22 34771.8i −0.0203300 0.107023i
\(571\) 217151. 376117.i 0.666025 1.15359i −0.312982 0.949759i \(-0.601328\pi\)
0.979006 0.203829i \(-0.0653388\pi\)
\(572\) 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 −0.734283 0.678844i \(-0.762481\pi\)
0.220754 + 0.975329i \(0.429148\pi\)
\(588\) 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 \(0.300513\pi\)
−0.586481 + 0.809963i \(0.699487\pi\)
\(594\) 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 0.797910 0.602776i \(-0.205939\pi\)
−0.123064 + 0.992399i \(0.539272\pi\)
\(600\) 75800.5 + 87953.1i 0.210557 + 0.244314i
\(601\) −114264. 197910.i −0.316344 0.547923i 0.663379 0.748284i \(-0.269122\pi\)
−0.979722 + 0.200361i \(0.935789\pi\)
\(602\) 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 −0.706495 0.707718i \(-0.749725\pi\)
0.966149 + 0.257984i \(0.0830581\pi\)
\(608\) −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 0.0792421 0.996855i \(-0.474750\pi\)
−0.823681 + 0.567053i \(0.808083\pi\)
\(618\) −258307. + 49067.8i −0.676332 + 0.128475i
\(619\) −55163.0 95545.2i −0.143968 0.249360i 0.785019 0.619471i \(-0.212653\pi\)
−0.928988 + 0.370111i \(0.879320\pi\)
\(620\) 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 −0.214891 0.976638i \(-0.568940\pi\)
0.738348 + 0.674420i \(0.235606\pi\)
\(642\) −140002. + 120658.i −0.339676 + 0.292742i
\(643\) −218681. + 378766.i −0.528918 + 0.916113i 0.470513 + 0.882393i \(0.344069\pi\)
−0.999431 + 0.0337200i \(0.989265\pi\)
\(644\) −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 \(-0.669274\pi\)
0.507076 0.861901i \(-0.330726\pi\)
\(648\) −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 0.364949 0.931028i \(-0.381087\pi\)
−0.623819 + 0.781569i \(0.714420\pi\)
\(654\) −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 −0.333795 0.942646i \(-0.608329\pi\)
0.649458 + 0.760398i \(0.274996\pi\)
\(660\) −32091.5 11203.3i −0.0736720 0.0257192i
\(661\) 285009. 493649.i 0.652311 1.12984i −0.330249 0.943894i \(-0.607133\pi\)
0.982561 0.185943i \(-0.0595338\pi\)
\(662\) 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 0.975528 0.219875i \(-0.0705649\pi\)
−0.678181 + 0.734895i \(0.737232\pi\)
\(674\) 336081.i 0.739817i
\(675\) 193419. 367895.i 0.424513 0.807451i
\(676\) −444257. −0.972166
\(677\) 393590. 227240.i 0.858751 0.495800i −0.00484289 0.999988i \(-0.501542\pi\)
0.863594 + 0.504188i \(0.168208\pi\)
\(678\) 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 \(-0.922389\pi\)
0.970422 0.241414i \(-0.0776110\pi\)
\(684\) −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 0.999440 + 0.0334540i \(0.0106507\pi\)
−0.470748 + 0.882268i \(0.656016\pi\)
\(692\) 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 \(-0.993567\pi\)
0.999796 0.0202083i \(-0.00643294\pi\)
\(702\) −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 −0.988056 0.154093i \(-0.950755\pi\)
0.360580 0.932728i \(-0.382579\pi\)
\(710\) 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 \(-0.894137\pi\)
0.945204 0.326480i \(-0.105863\pi\)
\(720\) 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 0.999891 0.0147576i \(-0.00469766\pi\)
−0.512726 + 0.858552i \(0.671364\pi\)
\(728\) 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 −0.191106 + 0.981569i \(0.561207\pi\)
−0.754511 + 0.656287i \(0.772126\pi\)
\(734\) −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 0.941997 0.335622i \(-0.108946\pi\)
0.180341 + 0.983604i \(0.442280\pi\)
\(744\) 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 −0.599935 0.800049i \(-0.704807\pi\)
0.992830 + 0.119535i \(0.0381402\pi\)
\(752\) −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 −0.00716962 0.999974i \(-0.502282\pi\)
−0.869588 + 0.493778i \(0.835616\pi\)
\(762\) −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