Properties

Label 76.6.f.a.27.11
Level $76$
Weight $6$
Character 76.27
Analytic conductor $12.189$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.1891703058\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(48\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 27.11
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.57989 - 3.32033i) q^{2} +(14.1896 - 24.5772i) q^{3} +(9.95083 + 30.4135i) q^{4} +(24.5038 - 42.4418i) q^{5} +(-146.591 + 65.4465i) q^{6} +6.61611i q^{7} +(55.4091 - 172.331i) q^{8} +(-281.192 - 487.038i) q^{9} +O(q^{10})\) \(q+(-4.57989 - 3.32033i) q^{2} +(14.1896 - 24.5772i) q^{3} +(9.95083 + 30.4135i) q^{4} +(24.5038 - 42.4418i) q^{5} +(-146.591 + 65.4465i) q^{6} +6.61611i q^{7} +(55.4091 - 172.331i) q^{8} +(-281.192 - 487.038i) q^{9} +(-253.145 + 113.018i) q^{10} -102.400i q^{11} +(888.677 + 186.993i) q^{12} +(718.961 - 415.092i) q^{13} +(21.9677 - 30.3011i) q^{14} +(-695.399 - 1204.47i) q^{15} +(-825.962 + 605.279i) q^{16} +(-44.3616 + 76.8365i) q^{17} +(-329.300 + 3164.23i) q^{18} +(-1229.01 + 982.672i) q^{19} +(1534.64 + 322.915i) q^{20} +(162.605 + 93.8802i) q^{21} +(-340.003 + 468.983i) q^{22} +(1774.70 - 1024.62i) q^{23} +(-3449.16 - 3807.11i) q^{24} +(361.630 + 626.361i) q^{25} +(-4671.01 - 486.109i) q^{26} -9063.87 q^{27} +(-201.219 + 65.8358i) q^{28} +(-1344.24 + 776.096i) q^{29} +(-814.373 + 7825.29i) q^{30} -9082.58 q^{31} +(5792.54 - 29.6480i) q^{32} +(-2516.71 - 1453.02i) q^{33} +(458.294 - 204.608i) q^{34} +(280.799 + 162.120i) q^{35} +(12014.4 - 13398.5i) q^{36} +13310.4i q^{37} +(8891.51 - 419.830i) q^{38} -23560.0i q^{39} +(-5956.29 - 6574.41i) q^{40} +(4422.70 + 2553.45i) q^{41} +(-433.001 - 969.864i) q^{42} +(6152.55 + 3552.18i) q^{43} +(3114.36 - 1018.97i) q^{44} -27561.0 q^{45} +(-11530.0 - 1199.92i) q^{46} +(12584.9 - 7265.91i) q^{47} +(3155.95 + 28888.5i) q^{48} +16763.2 q^{49} +(423.500 - 4069.40i) q^{50} +(1258.95 + 2180.56i) q^{51} +(19778.7 + 17735.6i) q^{52} +(20292.1 - 11715.7i) q^{53} +(41511.5 + 30095.0i) q^{54} +(-4346.06 - 2509.20i) q^{55} +(1140.16 + 366.593i) q^{56} +(6712.16 + 44149.2i) q^{57} +(8733.35 + 908.875i) q^{58} +(-8821.95 + 15280.1i) q^{59} +(29712.3 - 33135.0i) q^{60} +(-21243.9 - 36795.5i) q^{61} +(41597.3 + 30157.2i) q^{62} +(3222.30 - 1860.39i) q^{63} +(-26627.7 - 19097.4i) q^{64} -40685.3i q^{65} +(6701.75 + 15011.0i) q^{66} +(-26113.8 - 45230.5i) q^{67} +(-2778.30 - 584.604i) q^{68} -58156.1i q^{69} +(-747.741 - 1674.84i) q^{70} +(-35903.7 + 62187.0i) q^{71} +(-99512.2 + 21471.6i) q^{72} +(28690.5 - 49693.4i) q^{73} +(44194.8 - 60960.1i) q^{74} +20525.6 q^{75} +(-42116.1 - 27600.0i) q^{76} +677.492 q^{77} +(-78227.1 + 107902. i) q^{78} +(29171.1 - 50525.8i) q^{79} +(5449.94 + 49886.9i) q^{80} +(-60283.4 + 104414. i) q^{81} +(-11777.2 - 26379.3i) q^{82} -57869.7i q^{83} +(-1237.17 + 5879.58i) q^{84} +(2174.05 + 3765.57i) q^{85} +(-16383.6 - 36697.1i) q^{86} +44050.1i q^{87} +(-17646.7 - 5673.91i) q^{88} +(92288.0 - 53282.5i) q^{89} +(126227. + 91511.7i) q^{90} +(2746.30 + 4756.72i) q^{91} +(48822.1 + 43778.9i) q^{92} +(-128879. + 223224. i) q^{93} +(-81762.8 - 8509.01i) q^{94} +(11591.1 + 76240.4i) q^{95} +(81465.4 - 142785. i) q^{96} +(100168. + 57831.9i) q^{97} +(-76773.8 - 55659.4i) q^{98} +(-49872.9 + 28794.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + O(q^{10}) \) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + 648q^{10} - 354q^{13} + 2154q^{14} - 611q^{16} - 1006q^{17} + 10524q^{20} + 7824q^{21} + 93q^{22} - 5311q^{24} - 25002q^{25} - 13428q^{26} + 1556q^{28} - 6q^{29} - 12656q^{30} - 30453q^{32} + 8586q^{33} + 30102q^{34} - 2306q^{36} + 29846q^{38} - 1392q^{40} + 29064q^{41} + 18616q^{42} + 9155q^{44} + 13464q^{45} + 38217q^{48} - 116224q^{49} + 36858q^{52} + 26262q^{53} - 26355q^{54} + 53974q^{57} - 112740q^{58} - 108810q^{60} - 77370q^{61} - 106848q^{62} + 337966q^{64} + 166855q^{66} + 175796q^{68} + 148122q^{70} - 259842q^{72} - 52040q^{73} + 103690q^{74} - 194709q^{76} + 197584q^{77} + 253206q^{78} - 171934q^{80} - 313100q^{81} + 63919q^{82} - 161762q^{85} - 38442q^{86} + 10482q^{89} - 372450q^{90} + 64544q^{92} + 94012q^{93} + 537614q^{96} + 177180q^{97} - 509397q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.57989 3.32033i −0.809618 0.586957i
\(3\) 14.1896 24.5772i 0.910266 1.57663i 0.0965771 0.995326i \(-0.469211\pi\)
0.813689 0.581301i \(-0.197456\pi\)
\(4\) 9.95083 + 30.4135i 0.310963 + 0.950422i
\(5\) 24.5038 42.4418i 0.438337 0.759222i −0.559224 0.829016i \(-0.688901\pi\)
0.997561 + 0.0697945i \(0.0222343\pi\)
\(6\) −146.591 + 65.4465i −1.66238 + 0.742179i
\(7\) 6.61611i 0.0510338i 0.999674 + 0.0255169i \(0.00812316\pi\)
−0.999674 + 0.0255169i \(0.991877\pi\)
\(8\) 55.4091 172.331i 0.306095 0.952001i
\(9\) −281.192 487.038i −1.15717 2.00427i
\(10\) −253.145 + 113.018i −0.800516 + 0.357395i
\(11\) 102.400i 0.255164i −0.991828 0.127582i \(-0.959278\pi\)
0.991828 0.127582i \(-0.0407217\pi\)
\(12\) 888.677 + 186.993i 1.78152 + 0.374863i
\(13\) 718.961 415.092i 1.17990 0.681218i 0.223912 0.974609i \(-0.428117\pi\)
0.955992 + 0.293391i \(0.0947838\pi\)
\(14\) 21.9677 30.3011i 0.0299546 0.0413179i
\(15\) −695.399 1204.47i −0.798006 1.38219i
\(16\) −825.962 + 605.279i −0.806603 + 0.591093i
\(17\) −44.3616 + 76.8365i −0.0372293 + 0.0644830i −0.884040 0.467412i \(-0.845187\pi\)
0.846810 + 0.531895i \(0.178520\pi\)
\(18\) −329.300 + 3164.23i −0.239558 + 2.30190i
\(19\) −1229.01 + 982.672i −0.781034 + 0.624489i
\(20\) 1534.64 + 322.915i 0.857888 + 0.180515i
\(21\) 162.605 + 93.8802i 0.0804612 + 0.0464543i
\(22\) −340.003 + 468.983i −0.149770 + 0.206586i
\(23\) 1774.70 1024.62i 0.699528 0.403872i −0.107644 0.994190i \(-0.534331\pi\)
0.807171 + 0.590317i \(0.200997\pi\)
\(24\) −3449.16 3807.11i −1.22232 1.34917i
\(25\) 361.630 + 626.361i 0.115722 + 0.200436i
\(26\) −4671.01 486.109i −1.35512 0.141026i
\(27\) −9063.87 −2.39279
\(28\) −201.219 + 65.8358i −0.0485036 + 0.0158696i
\(29\) −1344.24 + 776.096i −0.296812 + 0.171364i −0.641010 0.767533i \(-0.721484\pi\)
0.344198 + 0.938897i \(0.388151\pi\)
\(30\) −814.373 + 7825.29i −0.165204 + 1.58744i
\(31\) −9082.58 −1.69748 −0.848741 0.528809i \(-0.822639\pi\)
−0.848741 + 0.528809i \(0.822639\pi\)
\(32\) 5792.54 29.6480i 0.999987 0.00511824i
\(33\) −2516.71 1453.02i −0.402299 0.232267i
\(34\) 458.294 204.608i 0.0679902 0.0303546i
\(35\) 280.799 + 162.120i 0.0387459 + 0.0223700i
\(36\) 12014.4 13398.5i 1.54507 1.72305i
\(37\) 13310.4i 1.59840i 0.601064 + 0.799201i \(0.294743\pi\)
−0.601064 + 0.799201i \(0.705257\pi\)
\(38\) 8891.51 419.830i 0.998887 0.0471644i
\(39\) 23560.0i 2.48036i
\(40\) −5956.29 6574.41i −0.588607 0.649691i
\(41\) 4422.70 + 2553.45i 0.410892 + 0.237229i 0.691173 0.722689i \(-0.257094\pi\)
−0.280281 + 0.959918i \(0.590428\pi\)
\(42\) −433.001 969.864i −0.0378762 0.0848375i
\(43\) 6152.55 + 3552.18i 0.507439 + 0.292970i 0.731780 0.681540i \(-0.238690\pi\)
−0.224341 + 0.974511i \(0.572023\pi\)
\(44\) 3114.36 1018.97i 0.242514 0.0793468i
\(45\) −27561.0 −2.02892
\(46\) −11530.0 1199.92i −0.803406 0.0836100i
\(47\) 12584.9 7265.91i 0.831010 0.479784i −0.0231886 0.999731i \(-0.507382\pi\)
0.854198 + 0.519947i \(0.174048\pi\)
\(48\) 3155.95 + 28888.5i 0.197709 + 1.80976i
\(49\) 16763.2 0.997396
\(50\) 423.500 4069.40i 0.0239568 0.230200i
\(51\) 1258.95 + 2180.56i 0.0677770 + 0.117393i
\(52\) 19778.7 + 17735.6i 1.01435 + 0.909573i
\(53\) 20292.1 11715.7i 0.992288 0.572898i 0.0863305 0.996267i \(-0.472486\pi\)
0.905957 + 0.423369i \(0.139153\pi\)
\(54\) 41511.5 + 30095.0i 1.93724 + 1.40446i
\(55\) −4346.06 2509.20i −0.193726 0.111848i
\(56\) 1140.16 + 366.593i 0.0485842 + 0.0156212i
\(57\) 6712.16 + 44149.2i 0.273637 + 1.79985i
\(58\) 8733.35 + 908.875i 0.340887 + 0.0354759i
\(59\) −8821.95 + 15280.1i −0.329940 + 0.571472i −0.982500 0.186265i \(-0.940362\pi\)
0.652560 + 0.757737i \(0.273695\pi\)
\(60\) 29712.3 33135.0i 1.06551 1.18825i
\(61\) −21243.9 36795.5i −0.730987 1.26611i −0.956462 0.291857i \(-0.905727\pi\)
0.225475 0.974249i \(-0.427606\pi\)
\(62\) 41597.3 + 30157.2i 1.37431 + 0.996349i
\(63\) 3222.30 1860.39i 0.102286 0.0590546i
\(64\) −26627.7 19097.4i −0.812612 0.582805i
\(65\) 40685.3i 1.19441i
\(66\) 6701.75 + 15011.0i 0.189378 + 0.424180i
\(67\) −26113.8 45230.5i −0.710696 1.23096i −0.964596 0.263731i \(-0.915047\pi\)
0.253901 0.967230i \(-0.418286\pi\)
\(68\) −2778.30 584.604i −0.0728630 0.0153317i
\(69\) 58156.1i 1.47053i
\(70\) −747.741 1674.84i −0.0182392 0.0408533i
\(71\) −35903.7 + 62187.0i −0.845265 + 1.46404i 0.0401258 + 0.999195i \(0.487224\pi\)
−0.885391 + 0.464847i \(0.846109\pi\)
\(72\) −99512.2 + 21471.6i −2.26227 + 0.488127i
\(73\) 28690.5 49693.4i 0.630131 1.09142i −0.357394 0.933954i \(-0.616335\pi\)
0.987525 0.157465i \(-0.0503320\pi\)
\(74\) 44194.8 60960.1i 0.938192 1.29409i
\(75\) 20525.6 0.421349
\(76\) −42116.1 27600.0i −0.836401 0.548118i
\(77\) 677.492 0.0130220
\(78\) −78227.1 + 107902.i −1.45586 + 2.00814i
\(79\) 29171.1 50525.8i 0.525878 0.910848i −0.473667 0.880704i \(-0.657070\pi\)
0.999546 0.0301438i \(-0.00959653\pi\)
\(80\) 5449.94 + 49886.9i 0.0952066 + 0.871489i
\(81\) −60283.4 + 104414.i −1.02091 + 1.76826i
\(82\) −11777.2 26379.3i −0.193423 0.433240i
\(83\) 57869.7i 0.922054i −0.887386 0.461027i \(-0.847481\pi\)
0.887386 0.461027i \(-0.152519\pi\)
\(84\) −1237.17 + 5879.58i −0.0191307 + 0.0909176i
\(85\) 2174.05 + 3765.57i 0.0326379 + 0.0565305i
\(86\) −16383.6 36697.1i −0.238871 0.535039i
\(87\) 44050.1i 0.623948i
\(88\) −17646.7 5673.91i −0.242917 0.0781045i
\(89\) 92288.0 53282.5i 1.23501 0.713033i 0.266940 0.963713i \(-0.413988\pi\)
0.968070 + 0.250680i \(0.0806542\pi\)
\(90\) 126227. + 91511.7i 1.64265 + 1.19089i
\(91\) 2746.30 + 4756.72i 0.0347651 + 0.0602150i
\(92\) 48822.1 + 43778.9i 0.601377 + 0.539257i
\(93\) −128879. + 223224.i −1.54516 + 2.67630i
\(94\) −81762.8 8509.01i −0.954413 0.0993252i
\(95\) 11591.1 + 76240.4i 0.131770 + 0.866714i
\(96\) 81465.4 142785.i 0.902184 1.58126i
\(97\) 100168. + 57831.9i 1.08093 + 0.624077i 0.931148 0.364642i \(-0.118809\pi\)
0.149785 + 0.988719i \(0.452142\pi\)
\(98\) −76773.8 55659.4i −0.807510 0.585428i
\(99\) −49872.9 + 28794.1i −0.511419 + 0.295268i
\(100\) −15451.3 + 17231.2i −0.154513 + 0.172312i
\(101\) 28261.3 + 48950.0i 0.275669 + 0.477474i 0.970304 0.241889i \(-0.0777671\pi\)
−0.694634 + 0.719363i \(0.744434\pi\)
\(102\) 1474.34 14166.9i 0.0140313 0.134826i
\(103\) −19738.5 −0.183325 −0.0916623 0.995790i \(-0.529218\pi\)
−0.0916623 + 0.995790i \(0.529218\pi\)
\(104\) −31696.1 146899.i −0.287358 1.33179i
\(105\) 7968.89 4600.84i 0.0705382 0.0407252i
\(106\) −131836. 13720.0i −1.13964 0.118602i
\(107\) −105744. −0.892891 −0.446445 0.894811i \(-0.647310\pi\)
−0.446445 + 0.894811i \(0.647310\pi\)
\(108\) −90193.0 275664.i −0.744070 2.27416i
\(109\) −54268.3 31331.8i −0.437502 0.252592i 0.265035 0.964239i \(-0.414616\pi\)
−0.702538 + 0.711647i \(0.747950\pi\)
\(110\) 11573.1 + 25922.2i 0.0911945 + 0.204263i
\(111\) 327131. + 188869.i 2.52008 + 1.45497i
\(112\) −4004.59 5464.65i −0.0301657 0.0411640i
\(113\) 4202.08i 0.0309576i −0.999880 0.0154788i \(-0.995073\pi\)
0.999880 0.0154788i \(-0.00492726\pi\)
\(114\) 115849. 224485.i 0.834892 1.61780i
\(115\) 100428.i 0.708129i
\(116\) −36980.1 33160.2i −0.255166 0.228808i
\(117\) −404332. 233441.i −2.73069 1.57657i
\(118\) 91138.4 40689.3i 0.602555 0.269014i
\(119\) −508.358 293.501i −0.00329081 0.00189995i
\(120\) −246098. + 53100.2i −1.56011 + 0.336622i
\(121\) 150565. 0.934891
\(122\) −24878.4 + 239056.i −0.151329 + 1.45412i
\(123\) 125513. 72464.9i 0.748042 0.431882i
\(124\) −90379.3 276233.i −0.527855 1.61332i
\(125\) 188594. 1.07957
\(126\) −20934.9 2178.68i −0.117475 0.0122255i
\(127\) −38925.4 67420.8i −0.214153 0.370924i 0.738857 0.673862i \(-0.235366\pi\)
−0.953010 + 0.302938i \(0.902032\pi\)
\(128\) 58542.3 + 175876.i 0.315824 + 0.948818i
\(129\) 174605. 100808.i 0.923809 0.533362i
\(130\) −135089. + 186334.i −0.701068 + 0.967018i
\(131\) 314648. + 181662.i 1.60194 + 0.924881i 0.991099 + 0.133129i \(0.0425026\pi\)
0.610843 + 0.791752i \(0.290831\pi\)
\(132\) 19148.2 91000.9i 0.0956517 0.454580i
\(133\) −6501.46 8131.23i −0.0318700 0.0398591i
\(134\) −30581.6 + 293857.i −0.147129 + 1.41376i
\(135\) −222099. + 384687.i −1.04885 + 1.81666i
\(136\) 10783.2 + 11902.3i 0.0499922 + 0.0551802i
\(137\) 68753.6 + 119085.i 0.312964 + 0.542069i 0.979003 0.203848i \(-0.0653448\pi\)
−0.666039 + 0.745917i \(0.732011\pi\)
\(138\) −193097. + 266349.i −0.863135 + 1.19056i
\(139\) −277800. + 160388.i −1.21954 + 0.704101i −0.964819 0.262914i \(-0.915317\pi\)
−0.254720 + 0.967015i \(0.581983\pi\)
\(140\) −2136.44 + 10153.3i −0.00921235 + 0.0437812i
\(141\) 412403.i 1.74692i
\(142\) 370916. 165598.i 1.54367 0.689181i
\(143\) −42505.6 73621.9i −0.173823 0.301070i
\(144\) 527048. + 232076.i 2.11809 + 0.932660i
\(145\) 76069.1i 0.300461i
\(146\) −296398. + 132328.i −1.15078 + 0.513773i
\(147\) 237864. 411993.i 0.907895 1.57252i
\(148\) −404815. + 132449.i −1.51916 + 0.497044i
\(149\) 32934.8 57044.7i 0.121531 0.210499i −0.798840 0.601543i \(-0.794553\pi\)
0.920372 + 0.391044i \(0.127886\pi\)
\(150\) −94005.0 68151.7i −0.341132 0.247314i
\(151\) 215525. 0.769230 0.384615 0.923077i \(-0.374334\pi\)
0.384615 + 0.923077i \(0.374334\pi\)
\(152\) 101246. + 266244.i 0.355443 + 0.934698i
\(153\) 49896.4 0.172322
\(154\) −3102.84 2249.50i −0.0105428 0.00764335i
\(155\) −222558. + 385481.i −0.744069 + 1.28877i
\(156\) 716543. 234442.i 2.35739 0.771301i
\(157\) −164208. + 284416.i −0.531673 + 0.920885i 0.467643 + 0.883917i \(0.345103\pi\)
−0.999316 + 0.0369680i \(0.988230\pi\)
\(158\) −301363. + 134545.i −0.960389 + 0.428771i
\(159\) 664964.i 2.08596i
\(160\) 140681. 246572.i 0.434445 0.761455i
\(161\) 6779.01 + 11741.6i 0.0206111 + 0.0356995i
\(162\) 622780. 278044.i 1.86444 0.832388i
\(163\) 16950.9i 0.0499717i −0.999688 0.0249859i \(-0.992046\pi\)
0.999688 0.0249859i \(-0.00795408\pi\)
\(164\) −33649.7 + 159919.i −0.0976948 + 0.464290i
\(165\) −123338. + 71209.2i −0.352685 + 0.203623i
\(166\) −192147. + 265037.i −0.541206 + 0.746512i
\(167\) −100621. 174280.i −0.279187 0.483566i 0.691996 0.721902i \(-0.256732\pi\)
−0.971183 + 0.238335i \(0.923398\pi\)
\(168\) 25188.2 22820.0i 0.0688533 0.0623797i
\(169\) 158957. 275321.i 0.428116 0.741519i
\(170\) 2546.00 24464.5i 0.00675673 0.0649252i
\(171\) 824185. + 322254.i 2.15543 + 0.842767i
\(172\) −46811.1 + 222468.i −0.120650 + 0.573385i
\(173\) −424703. 245202.i −1.07887 0.622887i −0.148280 0.988945i \(-0.547374\pi\)
−0.930592 + 0.366058i \(0.880707\pi\)
\(174\) 146261. 201745.i 0.366230 0.505160i
\(175\) −4144.07 + 2392.58i −0.0102290 + 0.00590570i
\(176\) 61980.8 + 84578.9i 0.150826 + 0.205816i
\(177\) 250360. + 433637.i 0.600665 + 1.04038i
\(178\) −599585. 62398.4i −1.41841 0.147613i
\(179\) 759487. 1.77169 0.885845 0.463982i \(-0.153580\pi\)
0.885845 + 0.463982i \(0.153580\pi\)
\(180\) −274255. 838227.i −0.630919 1.92833i
\(181\) −152293. + 87926.3i −0.345528 + 0.199491i −0.662714 0.748873i \(-0.730595\pi\)
0.317186 + 0.948363i \(0.397262\pi\)
\(182\) 3216.15 30903.9i 0.00719710 0.0691567i
\(183\) −1.20577e6 −2.66157
\(184\) −78239.4 362608.i −0.170365 0.789574i
\(185\) 564916. + 326154.i 1.21354 + 0.700638i
\(186\) 1.33143e6 594424.i 2.82186 1.25984i
\(187\) 7868.09 + 4542.64i 0.0164538 + 0.00949958i
\(188\) 346212. + 310450.i 0.714411 + 0.640615i
\(189\) 59967.5i 0.122113i
\(190\) 200057. 387659.i 0.402041 0.779051i
\(191\) 31022.2i 0.0615303i 0.999527 + 0.0307651i \(0.00979439\pi\)
−0.999527 + 0.0307651i \(0.990206\pi\)
\(192\) −847196. + 383448.i −1.65856 + 0.750678i
\(193\) 21949.6 + 12672.6i 0.0424164 + 0.0244891i 0.521058 0.853521i \(-0.325537\pi\)
−0.478642 + 0.878010i \(0.658871\pi\)
\(194\) −266737. 597454.i −0.508837 1.13972i
\(195\) −999930. 577310.i −1.88314 1.08723i
\(196\) 166808. + 509828.i 0.310154 + 0.947947i
\(197\) −474809. −0.871672 −0.435836 0.900026i \(-0.643547\pi\)
−0.435836 + 0.900026i \(0.643547\pi\)
\(198\) 324019. + 33720.4i 0.587364 + 0.0611266i
\(199\) −638300. + 368523.i −1.14259 + 0.659677i −0.947072 0.321022i \(-0.895974\pi\)
−0.195523 + 0.980699i \(0.562640\pi\)
\(200\) 127979. 27613.8i 0.226237 0.0488147i
\(201\) −1.48218e6 −2.58769
\(202\) 33096.4 318023.i 0.0570693 0.548377i
\(203\) −5134.73 8893.62i −0.00874536 0.0151474i
\(204\) −53791.0 + 59987.5i −0.0904970 + 0.100922i
\(205\) 216746. 125138.i 0.360218 0.207972i
\(206\) 90400.1 + 65538.3i 0.148423 + 0.107604i
\(207\) −998061. 576231.i −1.61894 0.934696i
\(208\) −342588. + 778022.i −0.549052 + 1.24691i
\(209\) 100626. + 125851.i 0.159347 + 0.199292i
\(210\) −51772.9 5387.98i −0.0810130 0.00843097i
\(211\) 19435.2 33662.8i 0.0300527 0.0520528i −0.850608 0.525801i \(-0.823766\pi\)
0.880661 + 0.473748i \(0.157099\pi\)
\(212\) 558238. + 500574.i 0.853060 + 0.764942i
\(213\) 1.01892e6 + 1.76482e6i 1.53883 + 2.66533i
\(214\) 484298. + 351107.i 0.722901 + 0.524088i
\(215\) 301522. 174084.i 0.444859 0.256839i
\(216\) −502221. + 1.56198e6i −0.732420 + 2.27794i
\(217\) 60091.4i 0.0866289i
\(218\) 144511. + 323685.i 0.205949 + 0.461298i
\(219\) −814215. 1.41026e6i −1.14717 1.98696i
\(220\) 33066.6 157147.i 0.0460609 0.218902i
\(221\) 73656.5i 0.101445i
\(222\) −871118. 1.95118e6i −1.18630 2.65715i
\(223\) 7209.72 12487.6i 0.00970859 0.0168158i −0.861130 0.508384i \(-0.830243\pi\)
0.870839 + 0.491569i \(0.163576\pi\)
\(224\) 196.155 + 38324.1i 0.000261203 + 0.0510331i
\(225\) 203375. 352255.i 0.267818 0.463875i
\(226\) −13952.3 + 19245.1i −0.0181708 + 0.0250639i
\(227\) 1.04832e6 1.35029 0.675147 0.737683i \(-0.264080\pi\)
0.675147 + 0.737683i \(0.264080\pi\)
\(228\) −1.27594e6 + 643462.i −1.62552 + 0.819758i
\(229\) 1.08418e6 1.36619 0.683094 0.730330i \(-0.260634\pi\)
0.683094 + 0.730330i \(0.260634\pi\)
\(230\) −333456. + 459952.i −0.415641 + 0.573314i
\(231\) 9613.37 16650.8i 0.0118535 0.0205308i
\(232\) 59262.1 + 274656.i 0.0722864 + 0.335019i
\(233\) 379086. 656596.i 0.457455 0.792335i −0.541371 0.840784i \(-0.682095\pi\)
0.998826 + 0.0484492i \(0.0154279\pi\)
\(234\) 1.07669e6 + 2.41165e6i 1.28544 + 2.87922i
\(235\) 712169.i 0.841228i
\(236\) −552506. 116257.i −0.645739 0.135875i
\(237\) −827855. 1.43389e6i −0.957378 1.65823i
\(238\) 1353.71 + 3032.12i 0.00154911 + 0.00346980i
\(239\) 323053.i 0.365830i 0.983129 + 0.182915i \(0.0585533\pi\)
−0.983129 + 0.182915i \(0.941447\pi\)
\(240\) 1.30341e6 + 573933.i 1.46068 + 0.643181i
\(241\) −722458. + 417112.i −0.801254 + 0.462604i −0.843909 0.536486i \(-0.819752\pi\)
0.0426555 + 0.999090i \(0.486418\pi\)
\(242\) −689572. 499926.i −0.756905 0.548741i
\(243\) 609540. + 1.05576e6i 0.662196 + 1.14696i
\(244\) 907685. 1.01225e6i 0.976025 1.08846i
\(245\) 410762. 711461.i 0.437195 0.757244i
\(246\) −815443. 84862.7i −0.859124 0.0894085i
\(247\) −475707. + 1.21665e6i −0.496132 + 1.26889i
\(248\) −503258. + 1.56521e6i −0.519591 + 1.61600i
\(249\) −1.42227e6 821151.i −1.45373 0.839314i
\(250\) −863739. 626193.i −0.874043 0.633663i
\(251\) −1.49827e6 + 865024.i −1.50108 + 0.866650i −0.501083 + 0.865399i \(0.667065\pi\)
−0.999999 + 0.00125049i \(0.999602\pi\)
\(252\) 88645.7 + 79488.9i 0.0879338 + 0.0788506i
\(253\) −104922. 181730.i −0.103054 0.178495i
\(254\) −45585.0 + 438025.i −0.0443341 + 0.426005i
\(255\) 123396. 0.118837
\(256\) 315850. 999875.i 0.301218 0.953555i
\(257\) 991239. 572292.i 0.936150 0.540486i 0.0473985 0.998876i \(-0.484907\pi\)
0.888751 + 0.458390i \(0.151574\pi\)
\(258\) −1.13439e6 118055.i −1.06099 0.110417i
\(259\) −88062.8 −0.0815724
\(260\) 1.23738e6 404853.i 1.13520 0.371419i
\(261\) 755976. + 436463.i 0.686921 + 0.396594i
\(262\) −837876. 1.87673e6i −0.754096 1.68907i
\(263\) 471561. + 272256.i 0.420386 + 0.242710i 0.695243 0.718775i \(-0.255297\pi\)
−0.274856 + 0.961485i \(0.588630\pi\)
\(264\) −389849. + 353196.i −0.344260 + 0.311893i
\(265\) 1.14831e6i 1.00449i
\(266\) 2777.64 + 58827.2i 0.00240697 + 0.0509770i
\(267\) 3.02424e6i 2.59620i
\(268\) 1.11576e6 1.24429e6i 0.948932 1.05824i
\(269\) 136895. + 79036.6i 0.115348 + 0.0665959i 0.556564 0.830805i \(-0.312119\pi\)
−0.441216 + 0.897401i \(0.645453\pi\)
\(270\) 2.29448e6 1.02438e6i 1.91546 0.855170i
\(271\) 246302. + 142203.i 0.203725 + 0.117621i 0.598392 0.801203i \(-0.295807\pi\)
−0.394667 + 0.918824i \(0.629140\pi\)
\(272\) −9866.56 90315.1i −0.00808618 0.0740182i
\(273\) 155876. 0.126582
\(274\) 80516.4 773680.i 0.0647900 0.622566i
\(275\) 64139.6 37031.0i 0.0511440 0.0295280i
\(276\) 1.76873e6 578701.i 1.39762 0.457280i
\(277\) −1.01914e6 −0.798057 −0.399029 0.916939i \(-0.630653\pi\)
−0.399029 + 0.916939i \(0.630653\pi\)
\(278\) 1.80484e6 + 187828.i 1.40064 + 0.145764i
\(279\) 2.55395e6 + 4.42357e6i 1.96427 + 3.40222i
\(280\) 43497.0 39407.4i 0.0331562 0.0300388i
\(281\) −1.27084e6 + 733720.i −0.960119 + 0.554325i −0.896210 0.443631i \(-0.853690\pi\)
−0.0639091 + 0.997956i \(0.520357\pi\)
\(282\) −1.36931e6 + 1.88876e6i −1.02537 + 1.41434i
\(283\) 1.93396e6 + 1.11657e6i 1.43543 + 0.828743i 0.997527 0.0702817i \(-0.0223898\pi\)
0.437898 + 0.899025i \(0.355723\pi\)
\(284\) −2.24859e6 473144.i −1.65430 0.348095i
\(285\) 2.03825e6 + 796947.i 1.48643 + 0.581189i
\(286\) −49777.7 + 478313.i −0.0359849 + 0.345778i
\(287\) −16893.9 + 29261.0i −0.0121067 + 0.0209694i
\(288\) −1.64325e6 2.81285e6i −1.16741 1.99832i
\(289\) 705993. + 1.22282e6i 0.497228 + 0.861224i
\(290\) 252574. 348388.i 0.176358 0.243259i
\(291\) 2.84269e6 1.64123e6i 1.96787 1.13615i
\(292\) 1.79684e6 + 378088.i 1.23326 + 0.259499i
\(293\) 1.29944e6i 0.884278i 0.896947 + 0.442139i \(0.145780\pi\)
−0.896947 + 0.442139i \(0.854220\pi\)
\(294\) −2.45734e6 + 1.09710e6i −1.65805 + 0.740246i
\(295\) 432342. + 748838.i 0.289249 + 0.500995i
\(296\) 2.29378e6 + 737515.i 1.52168 + 0.489262i
\(297\) 928144.i 0.610554i
\(298\) −340245. + 151904.i −0.221948 + 0.0990899i
\(299\) 850626. 1.47333e6i 0.550251 0.953062i
\(300\) 204247. + 624255.i 0.131024 + 0.400460i
\(301\) −23501.6 + 40705.9i −0.0149514 + 0.0258965i
\(302\) −987083. 715615.i −0.622782 0.451505i
\(303\) 1.60407e6 1.00373
\(304\) 420321. 1.55554e6i 0.260854 0.965378i
\(305\) −2.08222e6 −1.28167
\(306\) −228520. 165672.i −0.139515 0.101146i
\(307\) −1.07731e6 + 1.86595e6i −0.652369 + 1.12994i 0.330177 + 0.943919i \(0.392891\pi\)
−0.982546 + 0.186017i \(0.940442\pi\)
\(308\) 6741.61 + 20604.9i 0.00404936 + 0.0123764i
\(309\) −280082. + 485116.i −0.166874 + 0.289034i
\(310\) 2.29921e6 1.02650e6i 1.35886 0.606672i
\(311\) 1.05752e6i 0.619993i −0.950738 0.309997i \(-0.899672\pi\)
0.950738 0.309997i \(-0.100328\pi\)
\(312\) −4.06011e6 1.30544e6i −2.36130 0.759225i
\(313\) −241586. 418439.i −0.139383 0.241419i 0.787880 0.615829i \(-0.211179\pi\)
−0.927263 + 0.374410i \(0.877845\pi\)
\(314\) 1.69641e6 757372.i 0.970972 0.433496i
\(315\) 182347.i 0.103543i
\(316\) 1.82694e6 + 384421.i 1.02922 + 0.216566i
\(317\) −267998. + 154729.i −0.149790 + 0.0864814i −0.573022 0.819540i \(-0.694229\pi\)
0.423232 + 0.906022i \(0.360896\pi\)
\(318\) −2.20790e6 + 3.04546e6i −1.22437 + 1.68883i
\(319\) 79472.5 + 137650.i 0.0437260 + 0.0757357i
\(320\) −1.46300e6 + 662168.i −0.798676 + 0.361488i
\(321\) −1.50048e6 + 2.59890e6i −0.812768 + 1.40776i
\(322\) 7938.81 76283.8i 0.00426693 0.0410008i
\(323\) −20984.5 138025.i −0.0111916 0.0736126i
\(324\) −3.77547e6 794425.i −1.99806 0.420427i
\(325\) 519995. + 300219.i 0.273081 + 0.157663i
\(326\) −56282.7 + 77633.4i −0.0293313 + 0.0404580i
\(327\) −1.54010e6 + 889175.i −0.796487 + 0.459852i
\(328\) 685094. 620682.i 0.351614 0.318555i
\(329\) 48072.1 + 83263.2i 0.0244852 + 0.0424095i
\(330\) 801313. + 83392.1i 0.405058 + 0.0421541i
\(331\) −1.87715e6 −0.941737 −0.470869 0.882203i \(-0.656059\pi\)
−0.470869 + 0.882203i \(0.656059\pi\)
\(332\) 1.76002e6 575852.i 0.876340 0.286725i
\(333\) 6.48266e6 3.74276e6i 3.20363 1.84962i
\(334\) −117835. + 1.13228e6i −0.0577975 + 0.555375i
\(335\) −2.55955e6 −1.24610
\(336\) −191129. + 20880.1i −0.0923590 + 0.0100898i
\(337\) −1.16105e6 670334.i −0.556900 0.321526i 0.195000 0.980803i \(-0.437529\pi\)
−0.751900 + 0.659277i \(0.770863\pi\)
\(338\) −1.64216e6 + 733152.i −0.781851 + 0.349062i
\(339\) −103275. 59625.9i −0.0488086 0.0281797i
\(340\) −92890.5 + 103591.i −0.0435787 + 0.0485987i
\(341\) 930060.i 0.433137i
\(342\) −2.70469e6 4.21245e6i −1.25041 1.94747i
\(343\) 222104.i 0.101935i
\(344\) 953056. 863450.i 0.434233 0.393406i
\(345\) −2.46825e6 1.42504e6i −1.11645 0.644585i
\(346\) 1.13094e6 + 2.53315e6i 0.507867 + 1.13755i
\(347\) 824436. + 475988.i 0.367564 + 0.212213i 0.672394 0.740194i \(-0.265266\pi\)
−0.304830 + 0.952407i \(0.598600\pi\)
\(348\) −1.33972e6 + 438335.i −0.593014 + 0.194025i
\(349\) −55711.0 −0.0244837 −0.0122419 0.999925i \(-0.503897\pi\)
−0.0122419 + 0.999925i \(0.503897\pi\)
\(350\) 26923.6 + 2801.92i 0.0117480 + 0.00122260i
\(351\) −6.51657e6 + 3.76234e6i −2.82326 + 1.63001i
\(352\) −3035.97 593159.i −0.00130599 0.255161i
\(353\) 643210. 0.274736 0.137368 0.990520i \(-0.456136\pi\)
0.137368 + 0.990520i \(0.456136\pi\)
\(354\) 293194. 2.81729e6i 0.124350 1.19488i
\(355\) 1.75955e6 + 3.04763e6i 0.741022 + 1.28349i
\(356\) 2.53885e6 + 2.27660e6i 1.06173 + 0.952053i
\(357\) −14426.8 + 8329.34i −0.00599102 + 0.00345892i
\(358\) −3.47837e6 2.52175e6i −1.43439 1.03991i
\(359\) −2.07901e6 1.20031e6i −0.851373 0.491540i 0.00974107 0.999953i \(-0.496899\pi\)
−0.861114 + 0.508412i \(0.830233\pi\)
\(360\) −1.52713e6 + 4.74961e6i −0.621041 + 1.93153i
\(361\) 544810. 2.41542e6i 0.220028 0.975494i
\(362\) 989429. + 102969.i 0.396838 + 0.0412987i
\(363\) 2.13647e6 3.70047e6i 0.850999 1.47397i
\(364\) −117341. + 130858.i −0.0464189 + 0.0517662i
\(365\) −1.40605e6 2.43535e6i −0.552419 0.956818i
\(366\) 5.52231e6 + 4.00356e6i 2.15485 + 1.56223i
\(367\) 1.40886e6 813405.i 0.546012 0.315240i −0.201500 0.979489i \(-0.564582\pi\)
0.747512 + 0.664248i \(0.231248\pi\)
\(368\) −845651. + 1.92049e6i −0.325515 + 0.739251i
\(369\) 2.87203e6i 1.09805i
\(370\) −1.50431e6 3.36946e6i −0.571261 1.27955i
\(371\) 77512.1 + 134255.i 0.0292371 + 0.0506402i
\(372\) −8.07148e6 1.69838e6i −3.02410 0.636324i
\(373\) 829777.i 0.308808i 0.988008 + 0.154404i \(0.0493458\pi\)
−0.988008 + 0.154404i \(0.950654\pi\)
\(374\) −20951.9 46929.5i −0.00774542 0.0173487i
\(375\) 2.67608e6 4.63510e6i 0.982699 1.70208i
\(376\) −554819. 2.57137e6i −0.202387 0.937981i
\(377\) −644302. + 1.11596e6i −0.233473 + 0.404387i
\(378\) −199112. + 274645.i −0.0716750 + 0.0988649i
\(379\) 1.60971e6 0.575637 0.287819 0.957685i \(-0.407070\pi\)
0.287819 + 0.957685i \(0.407070\pi\)
\(380\) −2.20340e6 + 1.11118e6i −0.782769 + 0.394753i
\(381\) −2.20935e6 −0.779744
\(382\) 103004. 142078.i 0.0361156 0.0498160i
\(383\) −759653. + 1.31576e6i −0.264617 + 0.458330i −0.967463 0.253012i \(-0.918579\pi\)
0.702846 + 0.711342i \(0.251912\pi\)
\(384\) 5.15324e6 + 1.05682e6i 1.78341 + 0.365740i
\(385\) 16601.1 28754.0i 0.00570802 0.00988658i
\(386\) −58449.6 130919.i −0.0199670 0.0447234i
\(387\) 3.99537e6i 1.35606i
\(388\) −762118. + 3.62193e6i −0.257006 + 1.22141i
\(389\) 96471.0 + 167093.i 0.0323238 + 0.0559865i 0.881735 0.471745i \(-0.156376\pi\)
−0.849411 + 0.527732i \(0.823043\pi\)
\(390\) 2.66271e6 + 5.96411e6i 0.886468 + 1.98557i
\(391\) 181815.i 0.0601435i
\(392\) 928835. 2.88882e6i 0.305298 0.949522i
\(393\) 8.92948e6 5.15544e6i 2.91638 1.68378i
\(394\) 2.17457e6 + 1.57652e6i 0.705721 + 0.511634i
\(395\) −1.42960e6 2.47615e6i −0.461024 0.798516i
\(396\) −1.37201e6 1.23028e6i −0.439662 0.394246i
\(397\) −2.48991e6 + 4.31264e6i −0.792879 + 1.37331i 0.131299 + 0.991343i \(0.458085\pi\)
−0.924178 + 0.381963i \(0.875248\pi\)
\(398\) 4.14696e6 + 431572.i 1.31227 + 0.136567i
\(399\) −292096. + 44408.4i −0.0918531 + 0.0139647i
\(400\) −677816. 298463.i −0.211817 0.0932698i
\(401\) −2.29680e6 1.32606e6i −0.713284 0.411815i 0.0989918 0.995088i \(-0.468438\pi\)
−0.812276 + 0.583274i \(0.801772\pi\)
\(402\) 6.78824e6 + 4.92134e6i 2.09504 + 1.51886i
\(403\) −6.53002e6 + 3.77011e6i −2.00287 + 1.15636i
\(404\) −1.20752e6 + 1.34662e6i −0.368078 + 0.410479i
\(405\) 2.95434e6 + 5.11707e6i 0.895001 + 1.55019i
\(406\) −6013.21 + 57780.8i −0.00181047 + 0.0173968i
\(407\) 1.36299e6 0.407855
\(408\) 445535. 96132.4i 0.132505 0.0285903i
\(409\) −2.71166e6 + 1.56558e6i −0.801544 + 0.462771i −0.844011 0.536326i \(-0.819812\pi\)
0.0424671 + 0.999098i \(0.486478\pi\)
\(410\) −1.40817e6 146547.i −0.413710 0.0430545i
\(411\) 3.90236e6 1.13952
\(412\) −196414. 600316.i −0.0570073 0.174236i
\(413\) −101095. 58367.0i −0.0291644 0.0168381i
\(414\) 2.65774e6 + 5.95296e6i 0.762098 + 1.70700i
\(415\) −2.45609e6 1.41803e6i −0.700043 0.404170i
\(416\) 4.15230e6 2.42576e6i 1.17640 0.687248i
\(417\) 9.10339e6i 2.56368i
\(418\) −42990.7 910494.i −0.0120347 0.254880i
\(419\) 627746.i 0.174682i −0.996178 0.0873411i \(-0.972163\pi\)
0.996178 0.0873411i \(-0.0278370\pi\)
\(420\) 219225. + 196580.i 0.0606410 + 0.0543770i
\(421\) 1.03608e6 + 598181.i 0.284897 + 0.164485i 0.635638 0.771987i \(-0.280737\pi\)
−0.350741 + 0.936472i \(0.614070\pi\)
\(422\) −200783. + 89640.7i −0.0548840 + 0.0245033i
\(423\) −7.07755e6 4.08623e6i −1.92323 1.11038i
\(424\) −894599. 4.14611e6i −0.241665 1.12002i
\(425\) −64169.8 −0.0172329
\(426\) 1.19324e6 1.14658e7i 0.318570 3.06113i
\(427\) 243443. 140552.i 0.0646141 0.0373050i
\(428\) −1.05225e6 3.21606e6i −0.277656 0.848623i
\(429\) −2.41256e6 −0.632899
\(430\) −1.95895e6 203867.i −0.510919 0.0531711i
\(431\) 190195. + 329427.i 0.0493180 + 0.0854213i 0.889631 0.456681i \(-0.150962\pi\)
−0.840313 + 0.542102i \(0.817629\pi\)
\(432\) 7.48641e6 5.48617e6i 1.93003 1.41436i
\(433\) −1.20601e6 + 696289.i −0.309122 + 0.178472i −0.646534 0.762886i \(-0.723782\pi\)
0.337411 + 0.941357i \(0.390449\pi\)
\(434\) −199523. + 275212.i −0.0508474 + 0.0701363i
\(435\) 1.86956e6 + 1.07939e6i 0.473715 + 0.273499i
\(436\) 412896. 1.96227e6i 0.104022 0.494359i
\(437\) −1.17425e6 + 3.00321e6i −0.294141 + 0.752285i
\(438\) −953516. + 9.16231e6i −0.237489 + 2.28202i
\(439\) −915447. + 1.58560e6i −0.226711 + 0.392674i −0.956831 0.290644i \(-0.906131\pi\)
0.730121 + 0.683318i \(0.239464\pi\)
\(440\) −673223. + 609926.i −0.165778 + 0.150192i
\(441\) −4.71368e6 8.16433e6i −1.15415 1.99905i
\(442\) 244564. 337339.i 0.0595438 0.0821317i
\(443\) 5.39424e6 3.11437e6i 1.30593 0.753981i 0.324519 0.945879i \(-0.394798\pi\)
0.981415 + 0.191898i \(0.0614644\pi\)
\(444\) −2.48895e6 + 1.18286e7i −0.599182 + 2.84758i
\(445\) 5.22249e6i 1.25020i
\(446\) −74482.7 + 33253.2i −0.0177304 + 0.00791583i
\(447\) −934665. 1.61889e6i −0.221252 0.383219i
\(448\) 126350. 176172.i 0.0297427 0.0414706i
\(449\) 1.56977e6i 0.367468i 0.982976 + 0.183734i \(0.0588185\pi\)
−0.982976 + 0.183734i \(0.941182\pi\)
\(450\) −2.10104e6 + 938020.i −0.489105 + 0.218364i
\(451\) 261474. 452886.i 0.0605323 0.104845i
\(452\) 127800. 41814.1i 0.0294228 0.00962669i
\(453\) 3.05823e6 5.29700e6i 0.700203 1.21279i
\(454\) −4.80118e6 3.48076e6i −1.09322 0.792564i
\(455\) 269178. 0.0609553
\(456\) 7.98018e6 + 1.28956e6i 1.79722 + 0.290422i
\(457\) −851569. −0.190735 −0.0953673 0.995442i \(-0.530403\pi\)
−0.0953673 + 0.995442i \(0.530403\pi\)
\(458\) −4.96540e6 3.59982e6i −1.10609 0.801894i
\(459\) 402087. 696436.i 0.0890817 0.154294i
\(460\) 3.05438e6 999347.i 0.673021 0.220202i
\(461\) −443756. + 768609.i −0.0972506 + 0.168443i −0.910546 0.413408i \(-0.864338\pi\)
0.813295 + 0.581851i \(0.197672\pi\)
\(462\) −99314.5 + 44339.5i −0.0216475 + 0.00966465i
\(463\) 8.37376e6i 1.81538i 0.419640 + 0.907691i \(0.362156\pi\)
−0.419640 + 0.907691i \(0.637844\pi\)
\(464\) 640534. 1.45466e6i 0.138117 0.313666i
\(465\) 6.31602e6 + 1.09397e7i 1.35460 + 2.34624i
\(466\) −3.91629e6 + 1.74845e6i −0.835430 + 0.372982i
\(467\) 6.88767e6i 1.46144i −0.682679 0.730718i \(-0.739185\pi\)
0.682679 0.730718i \(-0.260815\pi\)
\(468\) 3.07632e6 1.46201e7i 0.649258 3.08557i
\(469\) 299250. 172772.i 0.0628206 0.0362695i
\(470\) −2.36464e6 + 3.26166e6i −0.493764 + 0.681073i
\(471\) 4.66010e6 + 8.07153e6i 0.967928 + 1.67650i
\(472\) 2.14441e6 + 2.36695e6i 0.443049 + 0.489028i
\(473\) 363744. 630024.i 0.0747556 0.129480i
\(474\) −969489. + 9.31580e6i −0.198197 + 1.90447i
\(475\) −1.05995e6 414438.i −0.215552 0.0842802i
\(476\) 3867.80 18381.5i 0.000782432 0.00371847i
\(477\) −1.14119e7 6.58869e6i −2.29649 1.32588i
\(478\) 1.07264e6 1.47955e6i 0.214726 0.296182i
\(479\) 982202. 567074.i 0.195597 0.112928i −0.399003 0.916950i \(-0.630644\pi\)
0.594600 + 0.804022i \(0.297310\pi\)
\(480\) −4.06384e6 6.95631e6i −0.805070 1.37808i
\(481\) 5.52503e6 + 9.56963e6i 1.08886 + 1.88596i
\(482\) 4.69373e6 + 488473.i 0.920239 + 0.0957687i
\(483\) 384767. 0.0750464
\(484\) 1.49825e6 + 4.57921e6i 0.290717 + 0.888541i
\(485\) 4.90898e6 2.83420e6i 0.947625 0.547112i
\(486\) 713824. 6.85912e6i 0.137088 1.31728i
\(487\) −7.04972e6 −1.34694 −0.673472 0.739212i \(-0.735198\pi\)
−0.673472 + 0.739212i \(0.735198\pi\)
\(488\) −7.51809e6 + 1.62217e6i −1.42909 + 0.308351i
\(489\) −416606. 240528.i −0.0787868 0.0454876i
\(490\) −4.24353e6 + 1.89455e6i −0.798431 + 0.356464i
\(491\) −2.17000e6 1.25285e6i −0.406216 0.234529i 0.282947 0.959136i \(-0.408688\pi\)
−0.689163 + 0.724607i \(0.742021\pi\)
\(492\) 3.45287e6 + 3.09620e6i 0.643084 + 0.576656i
\(493\) 137715.i 0.0255191i
\(494\) 6.21838e6 3.99264e6i 1.14646 0.736110i
\(495\) 2.82226e6i 0.517707i
\(496\) 7.50187e6 5.49750e6i 1.36919 1.00337i
\(497\) −411436. 237543.i −0.0747156 0.0431370i
\(498\) 3.78737e6 + 8.48320e6i 0.684329 + 1.53280i
\(499\) 4.86409e6 + 2.80828e6i 0.874480 + 0.504882i 0.868835 0.495103i \(-0.164870\pi\)
0.00564591 + 0.999984i \(0.498203\pi\)
\(500\) 1.87666e6 + 5.73580e6i 0.335708 + 1.02605i
\(501\) −5.71108e6 −1.01654
\(502\) 9.73406e6 + 1.01302e6i 1.72399 + 0.179415i
\(503\) 8.92000e6 5.14996e6i 1.57197 0.907578i 0.576044 0.817419i \(-0.304596\pi\)
0.995927 0.0901595i \(-0.0287377\pi\)
\(504\) −142058. 658383.i −0.0249109 0.115452i
\(505\) 2.77003e6 0.483344
\(506\) −122872. + 1.18068e6i −0.0213343 + 0.205001i
\(507\) −4.51107e6 7.81341e6i −0.779399 1.34996i
\(508\) 1.66316e6 1.85475e6i 0.285940 0.318879i
\(509\) −2.57452e6 + 1.48640e6i −0.440454 + 0.254296i −0.703790 0.710408i \(-0.748511\pi\)
0.263336 + 0.964704i \(0.415177\pi\)
\(510\) −565140. 409715.i −0.0962124 0.0697520i
\(511\) 328777. + 189819.i 0.0556992 + 0.0321579i
\(512\) −4.76647e6 + 3.53059e6i −0.803568 + 0.595214i
\(513\) 1.11395e7 8.90681e6i 1.86885 1.49427i
\(514\) −6.43996e6 670203.i −1.07517 0.111892i
\(515\) −483667. + 837737.i −0.0803579 + 0.139184i
\(516\) 4.80340e6 + 4.30722e6i 0.794189 + 0.712153i
\(517\) −744032. 1.28870e6i −0.122424 0.212044i
\(518\) 403318. + 292398.i 0.0660425 + 0.0478795i
\(519\) −1.20528e7 + 6.95866e6i −1.96412 + 1.13399i
\(520\) −7.01132e6 2.25434e6i −1.13708 0.365603i
\(521\) 329207.i 0.0531343i −0.999647 0.0265671i \(-0.991542\pi\)
0.999647 0.0265671i \(-0.00845758\pi\)
\(522\) −2.01309e6 4.50905e6i −0.323360 0.724283i
\(523\) 1.48549e6 + 2.57294e6i 0.237473 + 0.411315i 0.959989 0.280039i \(-0.0903475\pi\)
−0.722515 + 0.691355i \(0.757014\pi\)
\(524\) −2.39397e6 + 1.13772e7i −0.380882 + 1.81012i
\(525\) 135799.i 0.0215030i
\(526\) −1.25572e6 2.81264e6i −0.197892 0.443251i
\(527\) 402918. 697874.i 0.0631960 0.109459i
\(528\) 2.95820e6 323171.i 0.461787 0.0504484i
\(529\) −1.11847e6 + 1.93725e6i −0.173774 + 0.300985i
\(530\) −3.81277e6 + 5.25914e6i −0.589591 + 0.813252i
\(531\) 9.92263e6 1.52718
\(532\) 182604. 278645.i 0.0279725 0.0426847i
\(533\) 4.23966e6 0.646418
\(534\) −1.00415e7 + 1.38507e7i −1.52386 + 2.10193i
\(535\) −2.59114e6 + 4.48799e6i −0.391387 + 0.677902i
\(536\) −9.24154e6 + 1.99403e6i −1.38942 + 0.299792i
\(537\) 1.07768e7 1.86660e7i 1.61271 2.79329i
\(538\) −364539. 816517.i −0.0542986 0.121621i
\(539\) 1.71656e6i 0.254500i
\(540\) −1.39097e7 2.92686e6i −2.05274 0.431934i
\(541\) −6.08899e6 1.05464e7i −0.894442 1.54922i −0.834494 0.551017i \(-0.814240\pi\)
−0.0599482 0.998201i \(-0.519094\pi\)
\(542\) −655878. 1.46908e6i −0.0959014 0.214806i
\(543\) 4.99057e6i 0.726358i
\(544\) −254688. + 446394.i −0.0368987 + 0.0646727i
\(545\) −2.65956e6 + 1.53550e6i −0.383547 + 0.221441i
\(546\) −713894. 517559.i −0.102483 0.0742982i
\(547\) −1.11581e6 1.93264e6i −0.159449 0.276173i 0.775221 0.631690i \(-0.217638\pi\)
−0.934670 + 0.355516i \(0.884305\pi\)
\(548\) −2.93763e6 + 3.27603e6i −0.417874 + 0.466012i
\(549\) −1.19472e7 + 2.06932e7i −1.69175 + 2.93019i
\(550\) −416708. 43366.5i −0.0587388 0.00611291i
\(551\) 889427. 2.27477e6i 0.124805 0.319197i
\(552\) −1.00221e7 3.22238e6i −1.39994 0.450120i
\(553\) 334284. + 192999.i 0.0464840 + 0.0268375i
\(554\) 4.66755e6 + 3.38388e6i 0.646122 + 0.468425i
\(555\) 1.60319e7 9.25602e6i 2.20929 1.27553i
\(556\) −7.64231e6 6.85288e6i −1.04843 0.940127i
\(557\) −4.73228e6 8.19656e6i −0.646298 1.11942i −0.984000 0.178168i \(-0.942983\pi\)
0.337702 0.941253i \(-0.390350\pi\)
\(558\) 2.99089e6 2.87394e7i 0.406645 3.90744i
\(559\) 5.89793e6 0.798307
\(560\) −330057. + 36057.4i −0.0444753 + 0.00485875i
\(561\) 223291. 128917.i 0.0299546 0.0172943i
\(562\) 8.25650e6 + 859249.i 1.10269 + 0.114757i
\(563\) −9.76622e6 −1.29854 −0.649270 0.760558i \(-0.724926\pi\)
−0.649270 + 0.760558i \(0.724926\pi\)
\(564\) 1.25426e7 4.10375e6i 1.66031 0.543229i
\(565\) −178344. 102967.i −0.0235037 0.0135699i
\(566\) −5.14993e6 1.15351e7i −0.675710 1.51350i
\(567\) −690814. 398842.i −0.0902409 0.0521006i
\(568\) 8.72733e6 + 9.63302e6i 1.13504 + 1.25283i
\(569\) 630739.i 0.0816713i −0.999166 0.0408356i \(-0.986998\pi\)
0.999166 0.0408356i \(-0.0130020\pi\)
\(570\) −6.68882e6 1.04176e7i −0.862308 1.34301i
\(571\) 8.05237e6i 1.03356i 0.856120 + 0.516778i \(0.172869\pi\)
−0.856120 + 0.516778i \(0.827131\pi\)
\(572\) 1.81613e6 2.02534e6i 0.232091 0.258826i
\(573\) 762437. + 440193.i 0.0970102 + 0.0560089i
\(574\) 174528. 77919.2i 0.0221099 0.00987108i
\(575\) 1.28357e6 + 741068.i 0.161901 + 0.0934735i
\(576\) −1.81367e6 + 1.83387e7i −0.227773 + 2.30310i
\(577\) 1.16889e7 1.46162 0.730811 0.682580i \(-0.239142\pi\)
0.730811 + 0.682580i \(0.239142\pi\)
\(578\) 826778. 7.94449e6i 0.102936 0.989114i
\(579\) 622914. 359640.i 0.0772204 0.0445832i
\(580\) −2.31353e6 + 756951.i −0.285565 + 0.0934324i
\(581\) 382872. 0.0470559
\(582\) −1.84686e7 1.92202e6i −2.26010 0.235207i
\(583\) −1.19969e6 2.07792e6i −0.146183 0.253197i
\(584\) −6.97397e6 7.69771e6i −0.846152 0.933963i
\(585\) −1.98153e7 + 1.14404e7i −2.39393 + 1.38213i
\(586\) 4.31458e6 5.95132e6i 0.519033 0.715927i
\(587\) 4.17618e6 + 2.41112e6i 0.500247 + 0.288818i 0.728816 0.684710i \(-0.240071\pi\)
−0.228569 + 0.973528i \(0.573405\pi\)
\(588\) 1.48971e7 + 3.13461e6i 1.77688 + 0.373887i
\(589\) 1.11625e7 8.92520e6i 1.32579 1.06006i
\(590\) 506310. 4.86512e6i 0.0598806 0.575391i
\(591\) −6.73736e6 + 1.16695e7i −0.793453 + 1.37430i
\(592\) −8.05649e6 1.09939e7i −0.944804 1.28928i
\(593\) 3.85797e6 + 6.68220e6i 0.450528 + 0.780338i 0.998419 0.0562120i \(-0.0179023\pi\)
−0.547890 + 0.836550i \(0.684569\pi\)
\(594\) 3.08174e6 4.25080e6i 0.358369 0.494316i
\(595\) −24913.4 + 14383.8i −0.00288497 + 0.00166564i
\(596\) 2.06266e6 + 434019.i 0.237854 + 0.0500488i
\(597\) 2.09168e7i 2.40193i
\(598\) −8.78770e6 + 3.92332e6i −1.00490 + 0.448643i
\(599\) −2.68875e6 4.65706e6i −0.306185 0.530328i 0.671339 0.741150i \(-0.265719\pi\)
−0.977524 + 0.210822i \(0.932386\pi\)
\(600\) 1.13730e6 3.53719e6i 0.128973 0.401125i
\(601\) 9.86104e6i 1.11362i 0.830640 + 0.556810i \(0.187975\pi\)
−0.830640 + 0.556810i \(0.812025\pi\)
\(602\) 242792. 108396.i 0.0273051 0.0121905i
\(603\) −1.46860e7 + 2.54369e7i −1.64479 + 2.84886i
\(604\) 2.14466e6 + 6.55488e6i 0.239202 + 0.731093i
\(605\) 3.68942e6 6.39025e6i 0.409797 0.709790i
\(606\) −7.34647e6 5.32604e6i −0.812638 0.589146i
\(607\) −1.67126e7 −1.84108 −0.920540 0.390649i \(-0.872251\pi\)
−0.920540 + 0.390649i \(0.872251\pi\)
\(608\) −7.08993e6 + 5.72861e6i −0.777827 + 0.628478i
\(609\) −291440. −0.0318424
\(610\) 9.53635e6 + 6.91366e6i 1.03767 + 0.752287i
\(611\) 6.03205e6 1.04478e7i 0.653675 1.13220i
\(612\) 496511. + 1.51752e6i 0.0535858 + 0.163779i
\(613\) −3.83396e6 + 6.64062e6i −0.412094 + 0.713768i −0.995119 0.0986865i \(-0.968536\pi\)
0.583024 + 0.812455i \(0.301869\pi\)
\(614\) 1.11295e7 4.96884e6i 1.19139 0.531905i
\(615\) 7.10266e6i 0.757239i
\(616\) 37539.2 116753.i 0.00398597 0.0123970i
\(617\) 2.02379e6 + 3.50531e6i 0.214019 + 0.370693i 0.952969 0.303068i \(-0.0980111\pi\)
−0.738949 + 0.673761i \(0.764678\pi\)
\(618\) 2.89349e6 1.29182e6i 0.304755 0.136060i
\(619\) 1.39528e7i 1.46364i 0.681499 + 0.731819i \(0.261328\pi\)
−0.681499 + 0.731819i \(0.738672\pi\)
\(620\) −1.39385e7 2.93290e6i −1.45625 0.306421i
\(621\) −1.60856e7 + 9.28704e6i −1.67382 + 0.966381i
\(622\) −3.51131e6 + 4.84332e6i −0.363909 + 0.501958i
\(623\) 352523. + 610588.i 0.0363888 + 0.0630272i
\(624\) 1.42604e7 + 1.94597e7i 1.46612 + 2.00067i
\(625\) 3.49117e6 6.04688e6i 0.357496 0.619200i
\(626\) −282918. + 2.71855e6i −0.0288552 + 0.277269i
\(627\) 4.52090e6 687328.i 0.459257 0.0698225i
\(628\) −1.02841e7 2.16396e6i −1.04056 0.218952i
\(629\) −1.02272e6 590469.i −0.103070 0.0595073i
\(630\) −605451. + 835129.i −0.0607754 + 0.0838305i
\(631\) 4.43389e6 2.55991e6i 0.443314 0.255947i −0.261688 0.965152i \(-0.584279\pi\)
0.705002 + 0.709205i \(0.250946\pi\)
\(632\) −7.09080e6 7.82666e6i −0.706159 0.779442i
\(633\) −551558. 955326.i −0.0547119 0.0947638i
\(634\) 1.74115e6 + 181201.i 0.172034 + 0.0179034i
\(635\) −3.81528e6 −0.375484
\(636\) 2.02239e7 6.61694e6i 1.98254 0.648656i
\(637\) 1.20521e7 6.95829e6i 1.17683 0.679444i
\(638\) 93069.2 894299.i 0.00905220 0.0869823i
\(639\) 4.03832e7 3.91245
\(640\) 8.89902e6 + 1.82500e6i 0.858800 + 0.176122i
\(641\) 1.34925e7 + 7.78992e6i 1.29703 + 0.748838i 0.979889 0.199542i \(-0.0639454\pi\)
0.317136 + 0.948380i \(0.397279\pi\)
\(642\) 1.55012e7 6.92061e6i 1.48432 0.662685i
\(643\) 1.64399e7 + 9.49160e6i 1.56810 + 0.905341i 0.996391 + 0.0848818i \(0.0270513\pi\)
0.571705 + 0.820459i \(0.306282\pi\)
\(644\) −289646. + 323012.i −0.0275203 + 0.0306905i
\(645\) 9.88073e6i 0.935168i
\(646\) −362183. + 701816.i −0.0341465 + 0.0661671i
\(647\) 1.00942e7i 0.948009i −0.880522 0.474005i \(-0.842808\pi\)
0.880522 0.474005i \(-0.157192\pi\)
\(648\) 1.46535e7 + 1.61742e7i 1.37089 + 1.51316i
\(649\) 1.56468e6 + 903371.i 0.145819 + 0.0841888i
\(650\) −1.38470e6 3.10153e6i −0.128550 0.287934i
\(651\) −1.47688e6 852675.i −0.136581 0.0788553i
\(652\) 515537. 168676.i 0.0474942 0.0155394i
\(653\) 4.89706e6 0.449420 0.224710 0.974426i \(-0.427856\pi\)
0.224710 + 0.974426i \(0.427856\pi\)
\(654\) 1.00058e7 + 1.04130e6i 0.914763 + 0.0951989i
\(655\) 1.54201e7 8.90281e6i 1.40438 0.810819i
\(656\) −5.19853e6 + 567918.i −0.471651 + 0.0515259i
\(657\) −3.22701e7 −2.91667
\(658\) 56296.5 540952.i 0.00506894 0.0487073i
\(659\) −7.84698e6 1.35914e7i −0.703864 1.21913i −0.967100 0.254397i \(-0.918123\pi\)
0.263236 0.964732i \(-0.415210\pi\)
\(660\) −3.39304e6 3.04255e6i −0.303200 0.271880i
\(661\) −45158.0 + 26072.0i −0.00402005 + 0.00232098i −0.502009 0.864863i \(-0.667405\pi\)
0.497989 + 0.867184i \(0.334072\pi\)
\(662\) 8.59716e6 + 6.23277e6i 0.762448 + 0.552759i
\(663\) 1.81027e6 + 1.04516e6i 0.159941 + 0.0923419i
\(664\) −9.97272e6 3.20651e6i −0.877796 0.282236i
\(665\) −504415. + 76687.8i −0.0442317 + 0.00672469i
\(666\) −4.21171e7 4.38310e6i −3.67936 0.382909i
\(667\) −1.59041e6 + 2.75467e6i −0.138419 + 0.239748i
\(668\) 4.29920e6 4.79445e6i 0.372775 0.415717i
\(669\) −204607. 354389.i −0.0176748 0.0306136i
\(670\) 1.17225e7 + 8.49855e6i 1.00886 + 0.731405i
\(671\) −3.76787e6 + 2.17538e6i −0.323065 + 0.186522i
\(672\) 944681. + 538984.i 0.0806979 + 0.0460418i
\(673\) 5.74746e6i 0.489146i −0.969631 0.244573i \(-0.921352\pi\)
0.969631 0.244573i \(-0.0786478\pi\)
\(674\) 3.09177e6 + 6.92514e6i 0.262154 + 0.587190i
\(675\) −3.27776e6 5.67725e6i −0.276897 0.479600i
\(676\) 9.95522e6 + 2.09476e6i 0.837885 + 0.176306i
\(677\) 1.35922e7i 1.13977i −0.821724 0.569885i \(-0.806988\pi\)
0.821724 0.569885i \(-0.193012\pi\)
\(678\) 275011. + 615988.i 0.0229761 + 0.0514633i
\(679\) −382622. + 662721.i −0.0318490 + 0.0551641i
\(680\) 769385. 166009.i 0.0638074 0.0137676i
\(681\) 1.48752e7 2.57647e7i 1.22913 2.12891i
\(682\) 3.08811e6 4.25958e6i 0.254233 0.350676i
\(683\) −1.91109e7 −1.56758 −0.783791 0.621025i \(-0.786716\pi\)
−0.783791 + 0.621025i \(0.786716\pi\)
\(684\) −1.59953e6 + 2.82730e7i −0.130723 + 2.31064i
\(685\) 6.73890e6 0.548735
\(686\) 737459. 1.01721e6i 0.0598312 0.0825281i
\(687\) 1.53841e7 2.66460e7i 1.24359 2.15397i
\(688\) −7.23183e6 + 790048.i −0.582475 + 0.0636330i
\(689\) 9.72616e6 1.68462e7i 0.780537 1.35193i
\(690\) 6.57270e6 + 1.47219e7i 0.525558 + 1.17718i
\(691\) 5.89087e6i 0.469336i 0.972076 + 0.234668i \(0.0754004\pi\)
−0.972076 + 0.234668i \(0.924600\pi\)
\(692\) 3.23131e6 1.53567e7i 0.256516 1.21908i
\(693\) −190505. 329965.i −0.0150686 0.0260996i
\(694\) −2.19539e6 4.91737e6i −0.173027 0.387556i
\(695\) 1.57205e7i 1.23453i
\(696\) 7.59117e6 + 2.44077e6i 0.593999 + 0.190987i
\(697\) −392395. + 226550.i −0.0305944 + 0.0176637i
\(698\) 255151. + 184979.i 0.0198225 + 0.0143709i
\(699\) −1.07582e7 1.86337e7i −0.832810 1.44247i
\(700\) −114004. 102228.i −0.00879375 0.00788539i
\(701\) 960411. 1.66348e6i 0.0738180 0.127856i −0.826754 0.562564i \(-0.809815\pi\)
0.900572 + 0.434708i \(0.143148\pi\)
\(702\) 4.23374e7 + 4.40603e6i 3.24251 + 0.337446i
\(703\) −1.30797e7 1.63585e7i −0.998183 1.24841i
\(704\) −1.95558e6 + 2.72668e6i −0.148711 + 0.207350i
\(705\) −1.75031e7 1.01054e7i −1.32630 0.765741i
\(706\) −2.94583e6 2.13567e6i −0.222432 0.161258i
\(707\) −323859. + 186980.i −0.0243673 + 0.0140684i
\(708\) −1.06971e7 + 1.19294e7i −0.802018 + 0.894407i
\(709\) −6.72328e6 1.16451e7i −0.502303 0.870014i −0.999996 0.00266079i \(-0.999153\pi\)
0.497694 0.867353i \(-0.334180\pi\)
\(710\) 2.06059e6 1.98001e7i 0.153407 1.47408i
\(711\) −3.28107e7 −2.43412
\(712\) −4.06861e6 1.88564e7i −0.300778 1.39399i
\(713\) −1.61188e7 + 9.30622e6i −1.18744 + 0.685566i
\(714\) 93729.6 + 9754.38i 0.00688067 + 0.000716068i
\(715\) −4.16619e6 −0.304771
\(716\) 7.55752e6 + 2.30986e7i 0.550931 + 1.68385i
\(717\) 7.93973e6 + 4.58401e6i 0.576777 + 0.333002i
\(718\) 5.53619e6 + 1.24003e7i 0.400774 + 0.897679i
\(719\) 1.06260e7 + 6.13494e6i 0.766565 + 0.442576i 0.831648 0.555303i \(-0.187398\pi\)
−0.0650830 + 0.997880i \(0.520731\pi\)
\(720\) 2.27644e7 1.66821e7i 1.63653 1.19928i
\(721\) 130592.i 0.00935574i
\(722\) −1.05152e7 + 9.25341e6i −0.750711 + 0.660631i
\(723\) 2.36746e7i 1.68437i
\(724\) −4.18959e6 3.75682e6i −0.297047 0.266363i
\(725\) −972232. 561318.i −0.0686950 0.0396611i
\(726\) −2.20715e7 + 9.85397e6i −1.55414 + 0.693857i
\(727\) 9.24656e6 + 5.33850e6i 0.648850 + 0.374614i 0.788015 0.615655i \(-0.211109\pi\)
−0.139166 + 0.990269i \(0.544442\pi\)
\(728\) 971899. 209705.i 0.0679661 0.0146649i
\(729\) 5.29888e6 0.369288
\(730\) −1.64661e6 + 1.58222e7i −0.114362 + 1.09890i
\(731\) −545874. + 315160.i −0.0377832 + 0.0218141i
\(732\) −1.19984e7 3.66718e7i −0.827650 2.52961i
\(733\) −3.05745e6 −0.210184 −0.105092 0.994463i \(-0.533514\pi\)
−0.105092 + 0.994463i \(0.533514\pi\)
\(734\) −9.15320e6 952568.i −0.627094 0.0652613i
\(735\) −1.16571e7 2.01908e7i −0.795928 1.37859i
\(736\) 1.02496e7 5.98779e6i 0.697451 0.407448i
\(737\) −4.63162e6 + 2.67407e6i −0.314097 + 0.181344i
\(738\) −9.53608e6 + 1.31536e7i −0.644509 + 0.889003i
\(739\) −4.58356e6 2.64632e6i −0.308739 0.178251i 0.337623 0.941281i \(-0.390377\pi\)
−0.646362 + 0.763031i \(0.723710\pi\)
\(740\) −4.29811e6 + 2.04266e7i −0.288535 + 1.37125i
\(741\) 2.31518e7 + 2.89554e7i 1.54896 + 1.93724i
\(742\) 90773.3 872238.i 0.00605269 0.0581601i
\(743\) −3.49316e6 + 6.05034e6i −0.232138 + 0.402075i −0.958437 0.285304i \(-0.907906\pi\)
0.726299 + 0.687379i \(0.241239\pi\)
\(744\) 3.13273e7 + 3.45784e7i 2.07487 + 2.29019i
\(745\) −1.61405e6 2.79562e6i −0.106543 0.184539i
\(746\) 2.75513e6 3.80029e6i 0.181257 0.250017i
\(747\) −2.81848e7 + 1.62725e7i −1.84805 + 1.06697i
\(748\) −59863.6 + 284499.i −0.00391209 + 0.0185920i
\(749\) 699617.i 0.0455676i
\(750\) −2.76462e7 + 1.23428e7i −1.79466 + 0.801237i
\(751\) 3.02318e6 + 5.23630e6i 0.195598 + 0.338785i 0.947096 0.320950i \(-0.104002\pi\)
−0.751499 + 0.659735i \(0.770669\pi\)
\(752\) −5.99677e6 + 1.36188e7i −0.386699 + 0.878199i
\(753\) 4.90975e7i 3.15553i
\(754\) 6.65621e6 2.97170e6i 0.426382 0.190361i
\(755\) 5.28119e6 9.14728e6i 0.337182 0.584016i
\(756\) 1.82382e6 596727.i 0.116059 0.0379727i
\(757\) 306749. 531305.i 0.0194556 0.0336980i −0.856134 0.516754i \(-0.827140\pi\)
0.875589 + 0.483056i \(0.160473\pi\)
\(758\) −7.37229e6 5.34476e6i −0.466046 0.337874i
\(759\) −5.95521e6 −0.375226
\(760\) 1.37808e7 + 2.22691e6i 0.865447 + 0.139852i
\(761\) 1.56491e7 0.979553 0.489777 0.871848i \(-0.337078\pi\)
0.489777 + 0.871848i \(0.337078\pi\)
\(762\) 1.01186e7 + 7.33577e6i 0.631295 + 0.457676i
\(763\) 207295. 359045.i 0.0128907 0.0223274i
\(764\) −943493. + 308696.i −0.0584797 + 0.0191337i
\(765\) 1.22265e6 2.11769e6i 0.0755351 0.130831i
\(766\) 7.84787e6 3.50373e6i 0.483259 0.215754i
\(767\) 1.46477e7i 0.899043i
\(768\) −2.00923e7 2.19506e7i −1.22921 1.34290i
\(769\) 9.03760e6