Properties

Label 76.6.f.a.27.6
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 27.6
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.16544 - 2.30614i) q^{2} +(-14.1896 + 24.5772i) q^{3} +(21.3634 + 23.8244i) q^{4} +(24.5038 - 42.4418i) q^{5} +(129.974 - 94.2285i) q^{6} -6.61611i q^{7} +(-55.4091 - 172.331i) q^{8} +(-281.192 - 487.038i) q^{9} +O(q^{10})\) \(q+(-5.16544 - 2.30614i) q^{2} +(-14.1896 + 24.5772i) q^{3} +(21.3634 + 23.8244i) q^{4} +(24.5038 - 42.4418i) q^{5} +(129.974 - 94.2285i) q^{6} -6.61611i q^{7} +(-55.4091 - 172.331i) q^{8} +(-281.192 - 487.038i) q^{9} +(-224.449 + 162.721i) q^{10} +102.400i q^{11} +(-888.677 + 186.993i) q^{12} +(718.961 - 415.092i) q^{13} +(-15.2577 + 34.1751i) q^{14} +(695.399 + 1204.47i) q^{15} +(-111.206 + 1017.94i) 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} +(236.150 - 528.943i) q^{22} +(-1774.70 + 1024.62i) q^{23} +(5021.63 + 1083.51i) q^{24} +(361.630 + 626.361i) q^{25} +(-4671.01 + 486.109i) q^{26} +9063.87 q^{27} +(157.625 - 141.343i) q^{28} +(-1344.24 + 776.096i) q^{29} +(-814.373 - 7825.29i) q^{30} +9082.58 q^{31} +(2921.95 - 5001.67i) q^{32} +(-2516.71 - 1453.02i) q^{33} +(406.342 - 294.590i) q^{34} +(-280.799 - 162.120i) q^{35} +(5596.18 - 17104.0i) q^{36} +13310.4i q^{37} +(-8614.53 + 2241.67i) q^{38} +23560.0i q^{39} +(-8671.75 - 1871.09i) q^{40} +(4422.70 + 2553.45i) q^{41} +(-623.426 - 859.922i) q^{42} +(-6152.55 - 3552.18i) q^{43} +(-2439.63 + 2187.63i) q^{44} -27561.0 q^{45} +(11530.0 - 1199.92i) q^{46} +(-12584.9 + 7265.91i) q^{47} +(-23440.2 - 17177.4i) q^{48} +16763.2 q^{49} +(-423.500 - 4069.40i) q^{50} +(-1258.95 - 2180.56i) q^{51} +(25248.8 + 8261.02i) q^{52} +(20292.1 - 11715.7i) q^{53} +(-46818.8 - 20902.5i) 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} +(-13839.6 + 42299.1i) q^{60} +(-21243.9 - 36795.5i) q^{61} +(-46915.5 - 20945.7i) q^{62} +(-3222.30 + 1860.39i) q^{63} +(-26627.7 + 19097.4i) q^{64} -40685.3i q^{65} +(9649.04 + 13309.4i) q^{66} +(26113.8 + 45230.5i) q^{67} +(-2778.30 + 584.604i) q^{68} -58156.1i q^{69} +(1076.58 + 1484.98i) q^{70} +(35903.7 - 62187.0i) q^{71} +(-68351.0 + 75444.3i) q^{72} +(28690.5 - 49693.4i) q^{73} +(30695.6 - 68753.8i) q^{74} -20525.6 q^{75} +(49667.4 + 8287.08i) q^{76} +677.492 q^{77} +(54332.7 - 121698. i) q^{78} +(-29171.1 + 50525.8i) q^{79} +(40478.4 + 29663.3i) q^{80} +(-60283.4 + 104414. i) q^{81} +(-16956.6 - 23389.0i) q^{82} +57869.7i q^{83} +(1237.17 + 5879.58i) q^{84} +(2174.05 + 3765.57i) q^{85} +(23588.8 + 32537.2i) q^{86} -44050.1i q^{87} +(17646.7 - 5673.91i) q^{88} +(92288.0 - 53282.5i) q^{89} +(142365. + 63559.6i) q^{90} +(-2746.30 - 4756.72i) q^{91} +(-62324.7 - 20391.7i) 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} +(-86589.4 - 38658.3i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.16544 2.30614i −0.913129 0.407672i
\(3\) −14.1896 + 24.5772i −0.910266 + 1.57663i −0.0965771 + 0.995326i \(0.530789\pi\)
−0.813689 + 0.581301i \(0.802544\pi\)
\(4\) 21.3634 + 23.8244i 0.667608 + 0.744513i
\(5\) 24.5038 42.4418i 0.438337 0.759222i −0.559224 0.829016i \(-0.688901\pi\)
0.997561 + 0.0697945i \(0.0222343\pi\)
\(6\) 129.974 94.2285i 1.47394 1.06857i
\(7\) 6.61611i 0.0510338i −0.999674 0.0255169i \(-0.991877\pi\)
0.999674 0.0255169i \(-0.00812316\pi\)
\(8\) −55.4091 172.331i −0.306095 0.952001i
\(9\) −281.192 487.038i −1.15717 2.00427i
\(10\) −224.449 + 162.721i −0.709771 + 0.514570i
\(11\) 102.400i 0.255164i 0.991828 + 0.127582i \(0.0407217\pi\)
−0.991828 + 0.127582i \(0.959278\pi\)
\(12\) −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 \(0.0947838\pi\)
\(14\) −15.2577 + 34.1751i −0.0208050 + 0.0466004i
\(15\) 695.399 + 1204.47i 0.798006 + 1.38219i
\(16\) −111.206 + 1017.94i −0.108600 + 0.994086i
\(17\) −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
\(22\) 236.150 528.943i 0.104023 0.232998i
\(23\) −1774.70 + 1024.62i −0.699528 + 0.403872i −0.807171 0.590317i \(-0.799003\pi\)
0.107644 + 0.994190i \(0.465669\pi\)
\(24\) 5021.63 + 1083.51i 1.77958 + 0.383977i
\(25\) 361.630 + 626.361i 0.115722 + 0.200436i
\(26\) −4671.01 + 486.109i −1.35512 + 0.141026i
\(27\) 9063.87 2.39279
\(28\) 157.625 141.343i 0.0379953 0.0340705i
\(29\) −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 \(-0.177361\pi\)
0.848741 + 0.528809i \(0.177361\pi\)
\(32\) 2921.95 5001.67i 0.504426 0.863455i
\(33\) −2516.71 1453.02i −0.402299 0.232267i
\(34\) 406.342 294.590i 0.0602830 0.0437039i
\(35\) −280.799 162.120i −0.0387459 0.0223700i
\(36\) 5596.18 17104.0i 0.719674 2.19959i
\(37\) 13310.4i 1.59840i 0.601064 + 0.799201i \(0.294743\pi\)
−0.601064 + 0.799201i \(0.705257\pi\)
\(38\) −8614.53 + 2241.67i −0.967771 + 0.251833i
\(39\) 23560.0i 2.48036i
\(40\) −8671.75 1871.09i −0.856953 0.184903i
\(41\) 4422.70 + 2553.45i 0.410892 + 0.237229i 0.691173 0.722689i \(-0.257094\pi\)
−0.280281 + 0.959918i \(0.590428\pi\)
\(42\) −623.426 859.922i −0.0545333 0.0752205i
\(43\) −6152.55 3552.18i −0.507439 0.292970i 0.224341 0.974511i \(-0.427977\pi\)
−0.731780 + 0.681540i \(0.761310\pi\)
\(44\) −2439.63 + 2187.63i −0.189973 + 0.170350i
\(45\) −27561.0 −2.02892
\(46\) 11530.0 1199.92i 0.803406 0.0836100i
\(47\) −12584.9 + 7265.91i −0.831010 + 0.479784i −0.854198 0.519947i \(-0.825952\pi\)
0.0231886 + 0.999731i \(0.492618\pi\)
\(48\) −23440.2 17177.4i −1.46845 1.07610i
\(49\) 16763.2 0.997396
\(50\) −423.500 4069.40i −0.0239568 0.230200i
\(51\) −1258.95 2180.56i −0.0677770 0.117393i
\(52\) 25248.8 + 8261.02i 1.29489 + 0.423668i
\(53\) 20292.1 11715.7i 0.992288 0.572898i 0.0863305 0.996267i \(-0.472486\pi\)
0.905957 + 0.423369i \(0.139153\pi\)
\(54\) −46818.8 20902.5i −2.18492 0.975472i
\(55\) 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 −0.652560 0.757737i \(-0.726305\pi\)
0.982500 + 0.186265i \(0.0596383\pi\)
\(60\) −13839.6 + 42299.1i −0.496301 + 1.51688i
\(61\) −21243.9 36795.5i −0.730987 1.26611i −0.956462 0.291857i \(-0.905727\pi\)
0.225475 0.974249i \(-0.427606\pi\)
\(62\) −46915.5 20945.7i −1.55002 0.692015i
\(63\) −3222.30 + 1860.39i −0.102286 + 0.0590546i
\(64\) −26627.7 + 19097.4i −0.812612 + 0.582805i
\(65\) 40685.3i 1.19441i
\(66\) 9649.04 + 13309.4i 0.272662 + 0.376096i
\(67\) 26113.8 + 45230.5i 0.710696 + 1.23096i 0.964596 + 0.263731i \(0.0849531\pi\)
−0.253901 + 0.967230i \(0.581714\pi\)
\(68\) −2778.30 + 584.604i −0.0728630 + 0.0153317i
\(69\) 58156.1i 1.47053i
\(70\) 1076.58 + 1484.98i 0.0262604 + 0.0362223i
\(71\) 35903.7 62187.0i 0.845265 1.46404i −0.0401258 0.999195i \(-0.512776\pi\)
0.885391 0.464847i \(-0.153891\pi\)
\(72\) −68351.0 + 75444.3i −1.55387 + 1.71512i
\(73\) 28690.5 49693.4i 0.630131 1.09142i −0.357394 0.933954i \(-0.616335\pi\)
0.987525 0.157465i \(-0.0503320\pi\)
\(74\) 30695.6 68753.8i 0.651623 1.45955i
\(75\) −20525.6 −0.421349
\(76\) 49667.4 + 8287.08i 0.986364 + 0.164576i
\(77\) 677.492 0.0130220
\(78\) 54332.7 121698.i 1.01117 2.26489i
\(79\) −29171.1 + 50525.8i −0.525878 + 0.910848i 0.473667 + 0.880704i \(0.342930\pi\)
−0.999546 + 0.0301438i \(0.990403\pi\)
\(80\) 40478.4 + 29663.3i 0.707128 + 0.518196i
\(81\) −60283.4 + 104414.i −1.02091 + 1.76826i
\(82\) −16956.6 23389.0i −0.278486 0.384129i
\(83\) 57869.7i 0.922054i 0.887386 + 0.461027i \(0.152519\pi\)
−0.887386 + 0.461027i \(0.847481\pi\)
\(84\) 1237.17 + 5879.58i 0.0191307 + 0.0909176i
\(85\) 2174.05 + 3765.57i 0.0326379 + 0.0565305i
\(86\) 23588.8 + 32537.2i 0.343922 + 0.474388i
\(87\) 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 \(0.0806542\pi\)
\(90\) 142365. + 63559.6i 1.85266 + 0.827132i
\(91\) −2746.30 4756.72i −0.0347651 0.0602150i
\(92\) −62324.7 20391.7i −0.767699 0.251179i
\(93\) −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 \(0.452142\pi\)
\(98\) −86589.4 38658.3i −0.910750 0.406610i
\(99\) 49872.9 28794.1i 0.511419 0.295268i
\(100\) −7197.03 + 21996.9i −0.0719703 + 0.219969i
\(101\) 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 \(-0.470782\pi\)
0.0916623 + 0.995790i \(0.470782\pi\)
\(104\) −111370. 100899.i −1.00968 0.914753i
\(105\) 7968.89 4600.84i 0.0705382 0.0407252i
\(106\) −131836. + 13720.0i −1.13964 + 0.118602i
\(107\) 105744. 0.892891 0.446445 0.894811i \(-0.352690\pi\)
0.446445 + 0.894811i \(0.352690\pi\)
\(108\) 193635. + 215941.i 1.59744 + 1.78146i
\(109\) −54268.3 31331.8i −0.437502 0.252592i 0.265035 0.964239i \(-0.414616\pi\)
−0.702538 + 0.711647i \(0.747950\pi\)
\(110\) −16662.7 22983.7i −0.131300 0.181108i
\(111\) −327131. 188869.i −2.52008 1.45497i
\(112\) 6734.83 + 735.752i 0.0507319 + 0.00554225i
\(113\) 4202.08i 0.0309576i −0.999880 0.0154788i \(-0.995073\pi\)
0.999880 0.0154788i \(-0.00492726\pi\)
\(114\) 67143.1 243529.i 0.483881 1.75505i
\(115\) 100428.i 0.708129i
\(116\) −47207.6 15445.6i −0.325737 0.106576i
\(117\) −404332. 233441.i −2.73069 1.57657i
\(118\) −80807.1 + 58583.5i −0.534250 + 0.387321i
\(119\) 508.358 + 293.501i 0.00329081 + 0.00189995i
\(120\) 169035. 186577.i 1.07158 1.18278i
\(121\) 150565. 0.934891
\(122\) 24878.4 + 239056.i 0.151329 + 1.45412i
\(123\) −125513. + 72464.9i −0.748042 + 0.431882i
\(124\) 194035. + 216387.i 1.13325 + 1.26380i
\(125\) 188594. 1.07957
\(126\) 20934.9 2178.68i 0.117475 0.0122255i
\(127\) 38925.4 + 67420.8i 0.214153 + 0.370924i 0.953010 0.302938i \(-0.0979676\pi\)
−0.738857 + 0.673862i \(0.764634\pi\)
\(128\) 181585. 37239.1i 0.979612 0.200897i
\(129\) 174605. 100808.i 0.923809 0.533362i
\(130\) −93826.0 + 210157.i −0.486928 + 1.09065i
\(131\) −314648. 181662.i −1.60194 0.924881i −0.991099 0.133129i \(-0.957497\pi\)
−0.610843 0.791752i \(-0.709169\pi\)
\(132\) −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
\(136\) 15699.3 + 3387.41i 0.0727835 + 0.0157044i
\(137\) 68753.6 + 119085.i 0.312964 + 0.542069i 0.979003 0.203848i \(-0.0653448\pi\)
−0.666039 + 0.745917i \(0.732011\pi\)
\(138\) −134116. + 300402.i −0.599491 + 1.34278i
\(139\) 277800. 160388.i 1.21954 0.704101i 0.254720 0.967015i \(-0.418017\pi\)
0.964819 + 0.262914i \(0.0846835\pi\)
\(140\) −2136.44 10153.3i −0.00921235 0.0437812i
\(141\) 412403.i 1.74692i
\(142\) −328870. + 238424.i −1.36868 + 0.992268i
\(143\) 42505.6 + 73621.9i 0.173823 + 0.301070i
\(144\) 527048. 232076.i 2.11809 0.932660i
\(145\) 76069.1i 0.300461i
\(146\) −262799. + 190524.i −1.02033 + 0.739719i
\(147\) −237864. + 411993.i −0.907895 + 1.57252i
\(148\) −317112. + 284355.i −1.19003 + 1.06710i
\(149\) 32934.8 57044.7i 0.121531 0.210499i −0.798840 0.601543i \(-0.794553\pi\)
0.920372 + 0.391044i \(0.127886\pi\)
\(150\) 106024. + 47334.8i 0.384746 + 0.171772i
\(151\) −215525. −0.769230 −0.384615 0.923077i \(-0.625666\pi\)
−0.384615 + 0.923077i \(0.625666\pi\)
\(152\) −237443. 157346.i −0.833584 0.552392i
\(153\) 49896.4 0.172322
\(154\) −3499.54 1562.39i −0.0118908 0.00530870i
\(155\) 222558. 385481.i 0.744069 1.28877i
\(156\) −561304. + 503324.i −1.84666 + 1.65591i
\(157\) −164208. + 284416.i −0.531673 + 0.920885i 0.467643 + 0.883917i \(0.345103\pi\)
−0.999316 + 0.0369680i \(0.988230\pi\)
\(158\) 267201. 193715.i 0.851521 0.617335i
\(159\) 664964.i 2.08596i
\(160\) −140681. 246572.i −0.434445 0.761455i
\(161\) 6779.01 + 11741.6i 0.0206111 + 0.0356995i
\(162\) 552183. 400322.i 1.65309 1.19845i
\(163\) 16950.9i 0.0499717i 0.999688 + 0.0249859i \(0.00795408\pi\)
−0.999688 + 0.0249859i \(0.992046\pi\)
\(164\) 33649.7 + 159919.i 0.0976948 + 0.464290i
\(165\) −123338. + 71209.2i −0.352685 + 0.203623i
\(166\) 133456. 298922.i 0.375895 0.841954i
\(167\) 100621. + 174280.i 0.279187 + 0.483566i 0.971183 0.238335i \(-0.0766017\pi\)
−0.691996 + 0.721902i \(0.743268\pi\)
\(168\) 7168.62 33223.7i 0.0195958 0.0908185i
\(169\) 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 \(0.880707\pi\)
\(174\) −101586. + 227538.i −0.254366 + 0.569745i
\(175\) 4144.07 2392.58i 0.0102290 0.00590570i
\(176\) −104238. 11387.6i −0.253655 0.0277108i
\(177\) 250360. + 433637.i 0.600665 + 1.04038i
\(178\) −599585. + 62398.4i −1.41841 + 0.147613i
\(179\) −759487. −1.77169 −0.885845 0.463982i \(-0.846420\pi\)
−0.885845 + 0.463982i \(0.846420\pi\)
\(180\) −588799. 656626.i −1.35452 1.51056i
\(181\) −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
\(184\) 274908. + 249061.i 0.598609 + 0.542328i
\(185\) 564916. + 326154.i 1.21354 + 0.700638i
\(186\) 1.18050e6 855839.i 2.50198 1.81388i
\(187\) −7868.09 4542.64i −0.0164538 0.00949958i
\(188\) −441964. 144604.i −0.911994 0.298390i
\(189\) 59967.5i 0.122113i
\(190\) −115948. + 420545.i −0.233012 + 0.845140i
\(191\) 31022.2i 0.0615303i −0.999527 0.0307651i \(-0.990206\pi\)
0.999527 0.0307651i \(-0.00979439\pi\)
\(192\) −91522.3 925417.i −0.179174 1.81169i
\(193\) 21949.6 + 12672.6i 0.0424164 + 0.0244891i 0.521058 0.853521i \(-0.325537\pi\)
−0.478642 + 0.878010i \(0.658871\pi\)
\(194\) −384042. 529728.i −0.732612 1.01053i
\(195\) 999930. + 577310.i 1.88314 + 1.08723i
\(196\) 358120. + 399374.i 0.665869 + 0.742574i
\(197\) −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 0.195523 0.980699i \(-0.437360\pi\)
0.947072 + 0.321022i \(0.104026\pi\)
\(200\) 87903.6 97026.0i 0.155393 0.171519i
\(201\) −1.48218e6 −2.58769
\(202\) −33096.4 318023.i −0.0570693 0.548377i
\(203\) 5134.73 + 8893.62i 0.00874536 + 0.0151474i
\(204\) 25055.2 76578.1i 0.0421524 0.128834i
\(205\) 216746. 125138.i 0.360218 0.207972i
\(206\) −101958. 45519.7i −0.167399 0.0747362i
\(207\) 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 −0.880661 0.473748i \(-0.842901\pi\)
0.850608 + 0.525801i \(0.176234\pi\)
\(212\) 712628. + 233161.i 1.08899 + 0.356300i
\(213\) 1.01892e6 + 1.76482e6i 1.53883 + 2.66533i
\(214\) −546216. 243861.i −0.815324 0.364006i
\(215\) −301522. + 174084.i −0.444859 + 0.256839i
\(216\) −502221. 1.56198e6i −0.732420 2.27794i
\(217\) 60091.4i 0.0866289i
\(218\) 208064. + 286993.i 0.296521 + 0.409006i
\(219\) 814215. + 1.41026e6i 1.14717 + 1.98696i
\(220\) 33066.6 + 157147.i 0.0460609 + 0.218902i
\(221\) 73656.5i 0.101445i
\(222\) 1.25422e6 + 1.73000e6i 1.70801 + 2.35594i
\(223\) −7209.72 + 12487.6i −0.00970859 + 0.0168158i −0.870839 0.491569i \(-0.836424\pi\)
0.861130 + 0.508384i \(0.169757\pi\)
\(224\) −33091.6 19331.9i −0.0440653 0.0257428i
\(225\) 203375. 352255.i 0.267818 0.463875i
\(226\) −9690.57 + 21705.6i −0.0126205 + 0.0282683i
\(227\) −1.04832e6 −1.35029 −0.675147 0.737683i \(-0.735920\pi\)
−0.675147 + 0.737683i \(0.735920\pi\)
\(228\) −908435. + 1.10309e6i −1.15733 + 1.40532i
\(229\) 1.08418e6 1.36619 0.683094 0.730330i \(-0.260634\pi\)
0.683094 + 0.730330i \(0.260634\pi\)
\(230\) 231602. 518757.i 0.288684 0.646613i
\(231\) −9613.37 + 16650.8i −0.0118535 + 0.0205308i
\(232\) 208228. + 188650.i 0.253991 + 0.230111i
\(233\) 379086. 656596.i 0.457455 0.792335i −0.541371 0.840784i \(-0.682095\pi\)
0.998826 + 0.0484492i \(0.0154279\pi\)
\(234\) 1.55020e6 + 2.13827e6i 1.85075 + 2.55283i
\(235\) 712169.i 0.841228i
\(236\) 552506. 116257.i 0.645739 0.135875i
\(237\) −827855. 1.43389e6i −0.957378 1.65823i
\(238\) −1949.04 2688.40i −0.00223038 0.00307647i
\(239\) 323053.i 0.365830i −0.983129 0.182915i \(-0.941447\pi\)
0.983129 0.182915i \(-0.0585533\pi\)
\(240\) −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 \(0.486418\pi\)
\(242\) −777735. 347224.i −0.853676 0.381129i
\(243\) −609540. 1.05576e6i −0.662196 1.14696i
\(244\) 422789. 1.29220e6i 0.454620 1.38949i
\(245\) 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
\(250\) −974169. 434923.i −0.985790 0.440112i
\(251\) 1.49827e6 865024.i 1.50108 0.866650i 0.501083 0.865399i \(-0.332935\pi\)
0.999999 0.00125049i \(-0.000398043\pi\)
\(252\) −113162. 37024.9i −0.112254 0.0367276i
\(253\) −104922. 181730.i −0.103054 0.178495i
\(254\) −45585.0 438025.i −0.0443341 0.426005i
\(255\) −123396. −0.118837
\(256\) −1.02384e6 226403.i −0.976412 0.215915i
\(257\) 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
\(260\) 969304. 869179.i 0.889256 0.797399i
\(261\) 755976. + 436463.i 0.686921 + 0.396594i
\(262\) 1.20636e6 + 1.66399e6i 1.08573 + 1.49760i
\(263\) −471561. 272256.i −0.420386 0.242710i 0.274856 0.961485i \(-0.411370\pi\)
−0.695243 + 0.718775i \(0.744703\pi\)
\(264\) −110952. + 514217.i −0.0979771 + 0.454085i
\(265\) 1.14831e6i 1.00449i
\(266\) 14831.1 + 56994.6i 0.0128520 + 0.0493890i
\(267\) 3.02424e6i 2.59620i
\(268\) −519709. + 1.58843e6i −0.442001 + 1.35092i
\(269\) 136895. + 79036.6i 0.115348 + 0.0665959i 0.556564 0.830805i \(-0.312119\pi\)
−0.441216 + 0.897401i \(0.645453\pi\)
\(270\) −2.03438e6 + 1.47488e6i −1.69833 + 1.23126i
\(271\) −246302. 142203.i −0.203725 0.117621i 0.394667 0.918824i \(-0.370860\pi\)
−0.598392 + 0.801203i \(0.704193\pi\)
\(272\) −73281.9 53702.3i −0.0600585 0.0440119i
\(273\) 155876. 0.126582
\(274\) −80516.4 773680.i −0.0647900 0.622566i
\(275\) −64139.6 + 37031.0i −0.0511440 + 0.0295280i
\(276\) 1.38554e6 1.24241e6i 1.09483 0.981734i
\(277\) −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
\(280\) −12379.3 + 57373.2i −0.00943631 + 0.0437335i
\(281\) −1.27084e6 + 733720.i −0.960119 + 0.554325i −0.896210 0.443631i \(-0.853690\pi\)
−0.0639091 + 0.997956i \(0.520357\pi\)
\(282\) −951058. + 2.13024e6i −0.712171 + 1.59516i
\(283\) −1.93396e6 1.11657e6i −1.43543 0.828743i −0.437898 0.899025i \(-0.644277\pi\)
−0.997527 + 0.0702817i \(0.977610\pi\)
\(284\) 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
\(288\) −3.25763e6 16673.6i −2.31430 0.0118453i
\(289\) 705993. + 1.22282e6i 0.497228 + 0.861224i
\(290\) 175426. 392930.i 0.122489 0.274360i
\(291\) −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 \(0.854220\pi\)
\(294\) 2.17878e6 1.57957e6i 1.47010 1.06579i
\(295\) −432342. 748838.i −0.289249 0.500995i
\(296\) 2.29378e6 737515.i 1.52168 0.489262i
\(297\) 928144.i 0.610554i
\(298\) −301675. + 218708.i −0.196788 + 0.142667i
\(299\) −850626. + 1.47333e6i −0.550251 + 0.953062i
\(300\) −438497. 489010.i −0.281296 0.313700i
\(301\) −23501.6 + 40705.9i −0.0149514 + 0.0258965i
\(302\) 1.11328e6 + 497031.i 0.702406 + 0.313593i
\(303\) −1.60407e6 −1.00373
\(304\) 863632. + 1.36034e6i 0.535975 + 0.844234i
\(305\) −2.08222e6 −1.28167
\(306\) −257737. 115068.i −0.157352 0.0702508i
\(307\) 1.07731e6 1.86595e6i 0.652369 1.12994i −0.330177 0.943919i \(-0.607109\pi\)
0.982546 0.186017i \(-0.0595581\pi\)
\(308\) 14473.6 + 16140.9i 0.00869359 + 0.00969505i
\(309\) −280082. + 485116.i −0.166874 + 0.289034i
\(310\) −2.03858e6 + 1.47793e6i −1.20482 + 0.873473i
\(311\) 1.05752e6i 0.619993i 0.950738 + 0.309997i \(0.100328\pi\)
−0.950738 + 0.309997i \(0.899672\pi\)
\(312\) 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 \(0.877845\pi\)
\(314\) 1.50411e6 1.09045e6i 0.860905 0.624139i
\(315\) 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 \(0.360896\pi\)
\(318\) 1.53350e6 3.43483e6i 0.850385 1.90475i
\(319\) −79472.5 137650.i −0.0437260 0.0757357i
\(320\) 158048. + 1.59808e6i 0.0862807 + 0.872418i
\(321\) −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
\(326\) 39091.2 87558.9i 0.0203721 0.0456306i
\(327\) 1.54010e6 889175.i 0.796487 0.459852i
\(328\) 194979. 903650.i 0.100070 0.463784i
\(329\) 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 \(-0.343941\pi\)
0.470869 + 0.882203i \(0.343941\pi\)
\(332\) −1.37871e6 + 1.23630e6i −0.686481 + 0.615570i
\(333\) 6.48266e6 3.74276e6i 3.20363 1.84962i
\(334\) −117835. 1.13228e6i −0.0577975 0.555375i
\(335\) 2.55955e6 1.24610
\(336\) −113647. + 155083.i −0.0549176 + 0.0749404i
\(337\) −1.16105e6 670334.i −0.556900 0.321526i 0.195000 0.980803i \(-0.437529\pi\)
−0.751900 + 0.659277i \(0.770863\pi\)
\(338\) −1.45601e6 + 1.05558e6i −0.693222 + 0.502572i
\(339\) 103275. + 59625.9i 0.0488086 + 0.0281797i
\(340\) −43267.2 + 132241.i −0.0202984 + 0.0620396i
\(341\) 930060.i 0.433137i
\(342\) 3.51411e6 + 3.56526e6i 1.62462 + 1.64826i
\(343\) 222104.i 0.101935i
\(344\) −271242. + 1.25710e6i −0.123583 + 0.572759i
\(345\) −2.46825e6 1.42504e6i −1.11645 0.644585i
\(346\) 1.62830e6 + 2.24600e6i 0.731216 + 1.00860i
\(347\) −824436. 475988.i −0.367564 0.212213i 0.304830 0.952407i \(-0.401400\pi\)
−0.672394 + 0.740194i \(0.734734\pi\)
\(348\) 1.04947e6 941061.i 0.464537 0.416553i
\(349\) −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
\(352\) 512173. + 299209.i 0.220323 + 0.128712i
\(353\) 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
\(356\) 3.24102e6 + 1.06041e6i 1.35536 + 0.443455i
\(357\) −14426.8 + 8329.34i −0.00599102 + 0.00345892i
\(358\) 3.92308e6 + 1.75148e6i 1.61778 + 0.722267i
\(359\) 2.07901e6 + 1.20031e6i 0.851373 + 0.491540i 0.861114 0.508412i \(-0.169767\pi\)
−0.00974107 + 0.999953i \(0.503101\pi\)
\(360\) 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
\(364\) 54655.8 167049.i 0.0216214 0.0660831i
\(365\) −1.40605e6 2.43535e6i −0.552419 0.956818i
\(366\) −6.22834e6 2.78068e6i −2.43035 1.08505i
\(367\) −1.40886e6 + 813405.i −0.546012 + 0.315240i −0.747512 0.664248i \(-0.768752\pi\)
0.201500 + 0.979489i \(0.435418\pi\)
\(368\) −845651. 1.92049e6i −0.325515 0.739251i
\(369\) 2.87203e6i 1.09805i
\(370\) −2.16588e6 2.98750e6i −0.822489 1.13450i
\(371\) −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 \(0.950654\pi\)
\(374\) 30166.1 + 41609.6i 0.0111517 + 0.0153821i
\(375\) −2.67608e6 + 4.63510e6i −0.982699 + 1.70208i
\(376\) 1.94946e6 + 1.76617e6i 0.711122 + 0.644263i
\(377\) −644302. + 1.11596e6i −0.233473 + 0.404387i
\(378\) −138293. + 309758.i −0.0497820 + 0.111505i
\(379\) −1.60971e6 −0.575637 −0.287819 0.957685i \(-0.592930\pi\)
−0.287819 + 0.957685i \(0.592930\pi\)
\(380\) 1.56876e6 1.90491e6i 0.557310 0.676729i
\(381\) −2.20935e6 −0.779744
\(382\) −71541.4 + 160243.i −0.0250841 + 0.0561850i
\(383\) 759653. 1.31576e6i 0.264617 0.458330i −0.702846 0.711342i \(-0.748088\pi\)
0.967463 + 0.253012i \(0.0814211\pi\)
\(384\) −1.66139e6 + 4.99125e6i −0.574967 + 1.72735i
\(385\) 16601.1 28754.0i 0.00570802 0.00988658i
\(386\) −84154.5 116078.i −0.0287481 0.0396537i
\(387\) 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 \(0.823043\pi\)
\(390\) −3.83372e6 5.28803e6i −1.27632 1.76049i
\(391\) 181815.i 0.0601435i
\(392\) −928835. 2.88882e6i −0.305298 0.949522i
\(393\) 8.92948e6 5.15544e6i 2.91638 1.68378i
\(394\) 2.45259e6 + 1.09497e6i 0.795949 + 0.355356i
\(395\) 1.42960e6 + 2.47615e6i 0.461024 + 0.798516i
\(396\) 1.75146e6 + 573051.i 0.561258 + 0.183635i
\(397\) −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 \(0.801772\pi\)
\(402\) 7.65612e6 + 3.41812e6i 2.36289 + 1.05493i
\(403\) 6.53002e6 3.77011e6i 2.00287 1.15636i
\(404\) −562447. + 1.71905e6i −0.171446 + 0.524005i
\(405\) 2.95434e6 + 5.11707e6i 0.895001 + 1.55019i
\(406\) −6013.21 57780.8i −0.00181047 0.0173968i
\(407\) −1.36299e6 −0.407855
\(408\) −306021. + 337778.i −0.0910123 + 0.100457i
\(409\) −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
\(412\) 421682. + 470258.i 0.122389 + 0.136488i
\(413\) −101095. 58367.0i −0.0291644 0.0168381i
\(414\) −3.82655e6 5.27815e6i −1.09725 1.51349i
\(415\) 2.45609e6 + 1.41803e6i 0.700043 + 0.404170i
\(416\) 24613.3 4.80888e6i 0.00697328 1.36242i
\(417\) 9.10339e6i 2.56368i
\(418\) −229548. 882131.i −0.0642589 0.246941i
\(419\) 627746.i 0.174682i 0.996178 + 0.0873411i \(0.0278370\pi\)
−0.996178 + 0.0873411i \(0.972163\pi\)
\(420\) 279855. + 91564.3i 0.0774123 + 0.0253281i
\(421\) 1.03608e6 + 598181.i 0.284897 + 0.164485i 0.635638 0.771987i \(-0.280737\pi\)
−0.350741 + 0.936472i \(0.614070\pi\)
\(422\) 178022. 129063.i 0.0486624 0.0352793i
\(423\) 7.07755e6 + 4.08623e6i 1.92323 + 1.11038i
\(424\) −3.14333e6 2.84780e6i −0.849133 0.769298i
\(425\) −64169.8 −0.0172329
\(426\) −1.19324e6 1.14658e7i −0.318570 3.06113i
\(427\) −243443. + 140552.i −0.0646141 + 0.0373050i
\(428\) 2.25907e6 + 2.51930e6i 0.596101 + 0.664769i
\(429\) −2.41256e6 −0.632899
\(430\) 1.95895e6 203867.i 0.510919 0.0531711i
\(431\) −190195. 329427.i −0.0493180 0.0854213i 0.840313 0.542102i \(-0.182371\pi\)
−0.889631 + 0.456681i \(0.849038\pi\)
\(432\) −1.00796e6 + 9.22651e6i −0.259856 + 2.37864i
\(433\) −1.20601e6 + 696289.i −0.309122 + 0.178472i −0.646534 0.762886i \(-0.723782\pi\)
0.337411 + 0.941357i \(0.390449\pi\)
\(434\) −138579. + 310398.i −0.0353161 + 0.0791033i
\(435\) −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 −0.730121 0.683318i \(-0.760536\pi\)
0.956831 + 0.290644i \(0.0938695\pi\)
\(440\) 191600. 887991.i 0.0471807 0.218664i
\(441\) −4.71368e6 8.16433e6i −1.15415 1.99905i
\(442\) 169862. 380468.i 0.0413562 0.0926323i
\(443\) −5.39424e6 + 3.11437e6i −1.30593 + 0.753981i −0.981415 0.191898i \(-0.938536\pi\)
−0.324519 + 0.945879i \(0.605202\pi\)
\(444\) −2.48895e6 1.18286e7i −0.599182 2.84758i
\(445\) 5.22249e6i 1.25020i
\(446\) 66039.5 47877.3i 0.0157205 0.0113970i
\(447\) 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 \(0.941182\pi\)
\(450\) −1.86287e6 + 1.35054e6i −0.433661 + 0.314396i
\(451\) −261474. + 452886.i −0.0605323 + 0.104845i
\(452\) 100112. 89770.8i 0.0230484 0.0206676i
\(453\) 3.05823e6 5.29700e6i 0.700203 1.21279i
\(454\) 5.41502e6 + 2.41757e6i 1.23299 + 0.550476i
\(455\) −269178. −0.0609553
\(456\) 7.23635e6 3.60298e6i 1.62970 0.811428i
\(457\) −851569. −0.190735 −0.0953673 0.995442i \(-0.530403\pi\)
−0.0953673 + 0.995442i \(0.530403\pi\)
\(458\) −5.60024e6 2.50026e6i −1.24751 0.556956i
\(459\) −402087. + 696436.i −0.0890817 + 0.154294i
\(460\) −2.39265e6 + 2.14550e6i −0.527211 + 0.472752i
\(461\) −443756. + 768609.i −0.0972506 + 0.168443i −0.910546 0.413408i \(-0.864338\pi\)
0.813295 + 0.581851i \(0.197672\pi\)
\(462\) 88056.4 63839.1i 0.0191936 0.0139150i
\(463\) 8.37376e6i 1.81538i −0.419640 0.907691i \(-0.637844\pi\)
0.419640 0.907691i \(-0.362156\pi\)
\(464\) −640534. 1.45466e6i −0.138117 0.313666i
\(465\) 6.31602e6 + 1.09397e7i 1.35460 + 2.34624i
\(466\) −3.47235e6 + 2.51738e6i −0.740727 + 0.537012i
\(467\) 6.88767e6i 1.46144i 0.682679 + 0.730718i \(0.260815\pi\)
−0.682679 + 0.730718i \(0.739185\pi\)
\(468\) −3.07632e6 1.46201e7i −0.649258 3.08557i
\(469\) 299250. 172772.i 0.0628206 0.0362695i
\(470\) 1.64236e6 3.67866e6i 0.342945 0.768149i
\(471\) −4.66010e6 8.07153e6i −0.967928 1.67650i
\(472\) −3.12204e6 673637.i −0.645035 0.139178i
\(473\) 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
\(478\) −745005. + 1.66871e6i −0.149138 + 0.334050i
\(479\) −982202. + 567074.i −0.195597 + 0.112928i −0.594600 0.804022i \(-0.702690\pi\)
0.399003 + 0.916950i \(0.369356\pi\)
\(480\) 8.05626e6 + 41234.4i 1.59599 + 0.00816878i
\(481\) 5.52503e6 + 9.56963e6i 1.08886 + 1.88596i
\(482\) 4.69373e6 488473.i 0.920239 0.0957687i
\(483\) −384767. −0.0750464
\(484\) 3.21659e6 + 3.58713e6i 0.624141 + 0.696039i
\(485\) 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 \(-0.264802\pi\)
0.673472 + 0.739212i \(0.264802\pi\)
\(488\) −5.16388e6 + 5.69978e6i −0.981583 + 1.08345i
\(489\) −416606. 240528.i −0.0787868 0.0454876i
\(490\) −3.76250e6 + 2.72773e6i −0.707923 + 0.513229i
\(491\) 2.17000e6 + 1.25285e6i 0.406216 + 0.234529i 0.689163 0.724607i \(-0.257979\pi\)
−0.282947 + 0.959136i \(0.591312\pi\)
\(492\) −4.40782e6 1.44217e6i −0.820940 0.268599i
\(493\) 137715.i 0.0255191i
\(494\) −5.26301e6 + 5.18750e6i −0.970324 + 0.956402i
\(495\) 2.82226e6i 0.517707i
\(496\) −1.01004e6 + 9.24556e6i −0.184346 + 1.68744i
\(497\) −411436. 237543.i −0.0747156 0.0431370i
\(498\) 5.45298e6 + 7.52156e6i 0.985282 + 1.35905i
\(499\) −4.86409e6 2.80828e6i −0.874480 0.504882i −0.00564591 0.999984i \(-0.501797\pi\)
−0.868835 + 0.495103i \(0.835130\pi\)
\(500\) 4.02901e6 + 4.49314e6i 0.720732 + 0.803757i
\(501\) −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 \(0.695404\pi\)
−0.995927 + 0.0901595i \(0.971262\pi\)
\(504\) 499148. + 452218.i 0.0875291 + 0.0792996i
\(505\) 2.77003e6 0.483344
\(506\) 122872. + 1.18068e6i 0.0213343 + 0.205001i
\(507\) 4.51107e6 + 7.81341e6i 0.779399 + 1.34996i
\(508\) −774680. + 2.36772e6i −0.133187 + 0.407071i
\(509\) −2.57452e6 + 1.48640e6i −0.440454 + 0.254296i −0.703790 0.710408i \(-0.748511\pi\)
0.263336 + 0.964704i \(0.415177\pi\)
\(510\) 637394. + 284568.i 0.108513 + 0.0484464i
\(511\) −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
\(516\) 6.13186e6 + 2.00625e6i 1.01384 + 0.331712i
\(517\) −744032. 1.28870e6i −0.122424 0.212044i
\(518\) −454883. 203085.i −0.0744861 0.0332548i
\(519\) 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 \(-0.00845758\pi\)
\(522\) −2.89840e6 3.99791e6i −0.465567 0.642180i
\(523\) −1.48549e6 2.57294e6i −0.237473 0.411315i 0.722515 0.691355i \(-0.242986\pi\)
−0.959989 + 0.280039i \(0.909652\pi\)
\(524\) −2.39397e6 1.13772e7i −0.380882 1.81012i
\(525\) 135799.i 0.0215030i
\(526\) 1.80796e6 + 2.49380e6i 0.284921 + 0.393005i
\(527\) −402918. + 697874.i −0.0631960 + 0.109459i
\(528\) 1.75897e6 2.40029e6i 0.274583 0.374695i
\(529\) −1.11847e6 + 1.93725e6i −0.173774 + 0.300985i
\(530\) −2.64817e6 + 5.93153e6i −0.409502 + 0.917227i
\(531\) −9.92263e6 −1.52718
\(532\) 54828.2 328605.i 0.00839895 0.0503379i
\(533\) 4.23966e6 0.646418
\(534\) 6.97431e6 1.56215e7i 1.05840 2.37066i
\(535\) 2.59114e6 4.48799e6i 0.391387 0.677902i
\(536\) 6.34765e6 7.00639e6i 0.954336 1.05337i
\(537\) 1.07768e7 1.86660e7i 1.61271 2.79329i
\(538\) −524855. 723959.i −0.0781779 0.107835i
\(539\) 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 \(-0.519094\pi\)
\(542\) 944319. + 1.30255e6i 0.138077 + 0.190456i
\(543\) 4.99057e6i 0.726358i
\(544\) 254688. + 446394.i 0.0368987 + 0.0646727i
\(545\) −2.65956e6 + 1.53550e6i −0.383547 + 0.221441i
\(546\) −805166. 359471.i −0.115586 0.0516039i
\(547\) 1.11581e6 + 1.93264e6i 0.159449 + 0.276173i 0.934670 0.355516i \(-0.115695\pi\)
−0.775221 + 0.631690i \(0.782362\pi\)
\(548\) −1.36831e6 + 4.18208e6i −0.194641 + 0.594895i
\(549\) −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
\(554\) 5.26430e6 + 2.35028e6i 0.728729 + 0.325345i
\(555\) −1.60319e7 + 9.25602e6i −2.20929 + 1.27553i
\(556\) 9.75592e6 + 3.19199e6i 1.33839 + 0.437899i
\(557\) −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
\(560\) 196255. 267809.i 0.0264455 0.0360874i
\(561\) 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 \(-0.275074\pi\)
0.649270 + 0.760558i \(0.275074\pi\)
\(564\) 9.82525e6 8.81034e6i 1.30061 1.16626i
\(565\) −178344. 102967.i −0.0235037 0.0135699i
\(566\) 7.41476e6 + 1.02275e7i 0.972873 + 1.34193i
\(567\) 690814. + 398842.i 0.0902409 + 0.0521006i
\(568\) −1.27061e7 2.74158e6i −1.65250 0.356557i
\(569\) 630739.i 0.0816713i −0.999166 0.0408356i \(-0.986998\pi\)
0.999166 0.0408356i \(-0.0130020\pi\)
\(570\) −8.69056e6 8.81706e6i −1.12037 1.13668i
\(571\) 8.05237e6i 1.03356i −0.856120 0.516778i \(-0.827131\pi\)
0.856120 0.516778i \(-0.172869\pi\)
\(572\) −845932. + 2.58549e6i −0.108105 + 0.330410i
\(573\) 762437. + 440193.i 0.0970102 + 0.0560089i
\(574\) −154744. + 112186.i −0.0196035 + 0.0142122i
\(575\) −1.28357e6 741068.i −0.161901 0.0934735i
\(576\) 1.67886e7 + 7.59867e6i 2.10843 + 0.954292i
\(577\) 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
\(580\) −1.81230e6 + 1.62510e6i −0.223697 + 0.200590i
\(581\) 382872. 0.0470559
\(582\) 1.84686e7 1.92202e6i 2.26010 0.235207i
\(583\) 1.19969e6 + 2.07792e6i 0.146183 + 0.253197i
\(584\) −1.01534e7 2.19078e6i −1.23191 0.265807i
\(585\) −1.98153e7 + 1.14404e7i −2.39393 + 1.38213i
\(586\) 2.99670e6 6.71220e6i 0.360495 0.807459i
\(587\) −4.17618e6 2.41112e6i −0.500247 0.288818i 0.228569 0.973528i \(-0.426595\pi\)
−0.728816 + 0.684710i \(0.759929\pi\)
\(588\) −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
\(592\) −1.35492e7 1.48019e6i −1.58895 0.173586i
\(593\) 3.85797e6 + 6.68220e6i 0.450528 + 0.780338i 0.998419 0.0562120i \(-0.0179023\pi\)
−0.547890 + 0.836550i \(0.684569\pi\)
\(594\) 2.14043e6 4.79427e6i 0.248906 0.557515i
\(595\) 24913.4 14383.8i 0.00288497 0.00166564i
\(596\) 2.06266e6 434019.i 0.237854 0.0500488i
\(597\) 2.09168e7i 2.40193i
\(598\) 7.79155e6 5.64871e6i 0.890986 0.645947i
\(599\) 2.68875e6 + 4.65706e6i 0.306185 + 0.530328i 0.977524 0.210822i \(-0.0676140\pi\)
−0.671339 + 0.741150i \(0.734281\pi\)
\(600\) 1.13730e6 + 3.53719e6i 0.128973 + 0.401125i
\(601\) 9.86104e6i 1.11362i 0.830640 + 0.556810i \(0.187975\pi\)
−0.830640 + 0.556810i \(0.812025\pi\)
\(602\) 215270. 156066.i 0.0242098 0.0175516i
\(603\) 1.46860e7 2.54369e7i 1.64479 2.84886i
\(604\) −4.60436e6 5.13477e6i −0.513544 0.572702i
\(605\) 3.68942e6 6.39025e6i 0.409797 0.709790i
\(606\) 8.28572e6 + 3.69921e6i 0.916534 + 0.409192i
\(607\) 1.67126e7 1.84108 0.920540 0.390649i \(-0.127749\pi\)
0.920540 + 0.390649i \(0.127749\pi\)
\(608\) −1.32391e6 9.01839e6i −0.145244 0.989396i
\(609\) −291440. −0.0318424
\(610\) 1.07556e7 + 4.80189e6i 1.17033 + 0.522502i
\(611\) −6.03205e6 + 1.04478e7i −0.653675 + 1.13220i
\(612\) 1.06596e6 + 1.18875e6i 0.115043 + 0.128296i
\(613\) −3.83396e6 + 6.64062e6i −0.412094 + 0.713768i −0.995119 0.0986865i \(-0.968536\pi\)
0.583024 + 0.812455i \(0.301869\pi\)
\(614\) −9.86790e6 + 7.15402e6i −1.05634 + 0.765825i
\(615\) 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 \(0.764678\pi\)
\(618\) 2.56549e6 1.85993e6i 0.270209 0.195896i
\(619\) 1.39528e7i 1.46364i −0.681499 0.731819i \(-0.738672\pi\)
0.681499 0.731819i \(-0.261328\pi\)
\(620\) 1.39385e7 2.93290e6i 1.45625 0.306421i
\(621\) −1.60856e7 + 9.28704e6i −1.67382 + 0.966381i
\(622\) 2.43879e6 5.46255e6i 0.252754 0.566134i
\(623\) −352523. 610588.i −0.0363888 0.0630272i
\(624\) −2.39828e7 2.62002e6i −2.46569 0.269366i
\(625\) 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
\(630\) 420517. 941901.i 0.0422116 0.0945483i
\(631\) −4.43389e6 + 2.55991e6i −0.443314 + 0.255947i −0.705002 0.709205i \(-0.749054\pi\)
0.261688 + 0.965152i \(0.415721\pi\)
\(632\) 1.03235e7 + 2.22748e6i 1.02810 + 0.221831i
\(633\) −551558. 955326.i −0.0547119 0.0947638i
\(634\) 1.74115e6 181201.i 0.172034 0.0179034i
\(635\) 3.81528e6 0.375484
\(636\) −1.58424e7 + 1.42059e7i −1.55302 + 1.39260i
\(637\) 1.20521e7 6.95829e6i 1.17683 0.679444i
\(638\) 93069.2 + 894299.i 0.00905220 + 0.0869823i
\(639\) −4.03832e7 −3.91245
\(640\) 2.86902e6 8.61928e6i 0.276875 0.831804i
\(641\) 1.34925e7 + 7.78992e6i 1.29703 + 0.748838i 0.979889 0.199542i \(-0.0639454\pi\)
0.317136 + 0.948380i \(0.397279\pi\)
\(642\) 1.37440e7 9.96415e6i 1.31606 0.954119i
\(643\) −1.64399e7 9.49160e6i −1.56810 0.905341i −0.996391 0.0848818i \(-0.972949\pi\)
−0.571705 0.820459i \(-0.693718\pi\)
\(644\) −134914. + 412347.i −0.0128186 + 0.0391785i
\(645\) 9.88073e6i 0.935168i
\(646\) 209912. 761354.i 0.0197904 0.0717803i
\(647\) 1.00942e7i 0.948009i 0.880522 + 0.474005i \(0.157192\pi\)
−0.880522 + 0.474005i \(0.842808\pi\)
\(648\) 2.13340e7 + 4.60320e6i 1.99588 + 0.430648i
\(649\) 1.56468e6 + 903371.i 0.145819 + 0.0841888i
\(650\) −1.99365e6 2.74995e6i −0.185083 0.255294i
\(651\) 1.47688e6 + 852675.i 0.136581 + 0.0788553i
\(652\) −403846. + 362130.i −0.0372046 + 0.0333615i
\(653\) 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
\(656\) −3.09109e6 + 4.21810e6i −0.280448 + 0.382699i
\(657\) −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 \(0.0818770\pi\)
−0.263236 + 0.964732i \(0.584790\pi\)
\(660\) −4.33144e6 1.41718e6i −0.387055 0.126638i
\(661\) −45158.0 + 26072.0i −0.00402005 + 0.00232098i −0.502009 0.864863i \(-0.667405\pi\)
0.497989 + 0.867184i \(0.334072\pi\)
\(662\) −9.69632e6 4.32898e6i −0.859927 0.383920i
\(663\) −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
\(668\) −2.00252e6 + 6.12044e6i −0.173634 + 0.530691i
\(669\) −204607. 354389.i −0.0176748 0.0306136i
\(670\) −1.32212e7 5.90268e6i −1.13785 0.507998i
\(671\) 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 \(-0.0786478\pi\)
\(674\) 4.45146e6 + 6.14012e6i 0.377444 + 0.520627i
\(675\) 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 \(-0.193012\pi\)
\(678\) −395955. 546161.i −0.0330805 0.0456296i
\(679\) 382622. 662721.i 0.0318490 0.0551641i
\(680\) 528460. 583302.i 0.0438268 0.0483750i
\(681\) 1.48752e7 2.57647e7i 1.22913 2.12891i
\(682\) 2.14485e6 4.80417e6i 0.176578 0.395510i
\(683\) 1.91109e7 1.56758 0.783791 0.621025i \(-0.213284\pi\)
0.783791 + 0.621025i \(0.213284\pi\)
\(684\) −9.92993e6 2.65202e7i −0.811533 2.16739i
\(685\) 6.73890e6 0.548735
\(686\) −512203. + 1.14727e6i −0.0415558 + 0.0930794i
\(687\) −1.53841e7 + 2.66460e7i −1.24359 + 2.15397i
\(688\) 4.30012e6 5.86793e6i 0.346345 0.472622i
\(689\) 9.72616e6 1.68462e7i 0.780537 1.35193i
\(690\) 9.46323e6 + 1.30531e7i 0.756688 + 1.04374i
\(691\) 5.89087e6i 0.469336i −0.972076 0.234668i \(-0.924600\pi\)
0.972076 0.234668i \(-0.0754004\pi\)
\(692\) −3.23131e6 1.53567e7i −0.256516 1.21908i
\(693\) −190505. 329965.i −0.0150686 0.0260996i
\(694\) 3.16088e6 + 4.35995e6i 0.249120 + 0.343623i
\(695\) 1.57205e7i 1.23453i
\(696\) −7.59117e6 + 2.44077e6i −0.593999 + 0.190987i
\(697\) −392395. + 226550.i −0.0305944 + 0.0176637i
\(698\) 287772. + 128477.i 0.0223568 + 0.00998132i
\(699\) 1.07582e7 + 1.86337e7i 0.832810 + 1.44247i
\(700\) 145534. + 47616.3i 0.0112258 + 0.00367292i
\(701\) 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
\(706\) −3.32246e6 1.48333e6i −0.250870 0.112002i
\(707\) 323859. 186980.i 0.0243673 0.0140684i
\(708\) −4.98259e6 + 1.52287e7i −0.373570 + 1.14177i
\(709\) −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
\(712\) −1.42958e7 1.29517e7i −1.05684 0.957475i
\(713\) −1.61188e7 + 9.30622e6i −1.18744 + 0.685566i
\(714\) 93729.6 9754.38i 0.00688067 0.000716068i
\(715\) 4.16619e6 0.304771
\(716\) −1.62253e7 1.80943e7i −1.18279 1.31905i
\(717\) 7.93973e6 + 4.58401e6i 0.576777 + 0.333002i
\(718\) −7.97088e6 1.09946e7i −0.577026 0.795920i
\(719\) −1.06260e7 6.13494e6i −0.766565 0.442576i 0.0650830 0.997880i \(-0.479269\pi\)
−0.831648 + 0.555303i \(0.812602\pi\)
\(720\) 3.06496e6 2.80556e7i 0.220340 2.01692i
\(721\) 130592.i 0.00935574i
\(722\) −8.38447e6 + 1.12203e7i −0.598595 + 0.801052i
\(723\) 2.36746e7i 1.68437i
\(724\) −5.34829e6 1.74988e6i −0.379200 0.124069i
\(725\) −972232. 561318.i −0.0686950 0.0396611i
\(726\) 1.95696e7 1.41875e7i 1.37797 0.999000i
\(727\) −9.24656e6 5.33850e6i −0.648850 0.374614i 0.139166 0.990269i \(-0.455558\pi\)
−0.788015 + 0.615655i \(0.788891\pi\)
\(728\) −667559. + 736836.i −0.0466833 + 0.0515279i
\(729\) 5.29888e6 0.369288
\(730\) 1.64661e6 + 1.58222e7i 0.114362 + 1.09890i
\(731\) 545874. 315160.i 0.0377832 0.0218141i
\(732\) 2.57595e7 + 2.87268e7i 1.77688 + 1.98157i
\(733\) −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
\(736\) −60756.1 + 1.18703e7i −0.00413423 + 0.807734i
\(737\) −4.63162e6 + 2.67407e6i −0.314097 + 0.181344i
\(738\) −6.62330e6 + 1.48353e7i −0.447645 + 1.00266i
\(739\) 4.58356e6 + 2.64632e6i 0.308739 + 0.178251i 0.646362 0.763031i \(-0.276290\pi\)
−0.337623 + 0.941281i \(0.609623\pi\)
\(740\) 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 −0.726299 0.687379i \(-0.758761\pi\)
0.958437 + 0.285304i \(0.0920944\pi\)
\(744\) 4.56094e7 + 9.84107e6i 3.02080 + 0.651793i
\(745\) −1.61405e6 2.79562e6i −0.106543 0.184539i
\(746\) 1.91358e6 4.28616e6i 0.125892 0.281982i
\(747\) 2.81848e7 1.62725e7i 1.84805 1.06697i
\(748\) −59863.6 284499.i −0.00391209 0.0185920i
\(749\) 699617.i 0.0455676i
\(750\) 2.45123e7 1.77709e7i 1.59122 1.15360i
\(751\) −3.02318e6 5.23630e6i −0.195598 0.338785i 0.751499 0.659735i \(-0.229331\pi\)
−0.947096 + 0.320950i \(0.895998\pi\)
\(752\) −5.99677e6 1.36188e7i −0.386699 0.878199i
\(753\) 4.90975e7i 3.15553i
\(754\) 5.90167e6 4.27859e6i 0.378048 0.274077i
\(755\) −5.28119e6 + 9.14728e6i −0.337182 + 0.584016i
\(756\) 1.42869e6 1.28111e6i 0.0909147 0.0815235i
\(757\) 306749. 531305.i 0.0194556 0.0336980i −0.856134 0.516754i \(-0.827140\pi\)
0.875589 + 0.483056i \(0.160473\pi\)
\(758\) 8.31484e6 + 3.71221e6i 0.525631 + 0.234671i
\(759\) 5.95521e6 0.375226
\(760\) −1.24963e7 + 6.22191e6i −0.784779 + 0.390742i
\(761\) 1.56491e7 0.979553 0.489777 0.871848i \(-0.337078\pi\)
0.489777 + 0.871848i \(0.337078\pi\)
\(762\) 1.14123e7 + 5.09507e6i 0.712007 + 0.317879i
\(763\) −207295. + 359045.i −0.0128907 + 0.0223274i
\(764\) 739085. 662741.i 0.0458101 0.0410781i
\(765\) 1.22265e6 2.11769e6i 0.0755351 0.130831i
\(766\) −6.95825e6 + 5.04459e6i −0.428478 + 0.310638i
\(767\) 1.46477e7i 0.899043i
\(768\) 2.00923e7 2.19506e7i 1.22921 1.34290i
\(769\) 9.03760e6 + 1.56536e7i