Properties

Label 76.6.f.a.27.1
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 27.1
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.65655 + 0.0584141i) q^{2} +(6.88277 - 11.9213i) q^{3} +(31.9932 - 0.660845i) q^{4} +(12.1360 - 21.0202i) q^{5} +(-38.2364 + 67.8356i) q^{6} +229.350i q^{7} +(-180.932 + 5.60696i) q^{8} +(26.7549 + 46.3408i) q^{9} +O(q^{10})\) \(q+(-5.65655 + 0.0584141i) q^{2} +(6.88277 - 11.9213i) q^{3} +(31.9932 - 0.660845i) q^{4} +(12.1360 - 21.0202i) q^{5} +(-38.2364 + 67.8356i) q^{6} +229.350i q^{7} +(-180.932 + 5.60696i) q^{8} +(26.7549 + 46.3408i) q^{9} +(-67.4201 + 119.611i) q^{10} -200.322i q^{11} +(212.324 - 385.949i) q^{12} +(-229.041 + 132.237i) q^{13} +(-13.3973 - 1297.33i) q^{14} +(-167.059 - 289.355i) q^{15} +(1023.13 - 42.2851i) q^{16} +(-1148.14 + 1988.64i) q^{17} +(-154.047 - 260.566i) q^{18} +(1560.62 - 201.420i) q^{19} +(374.379 - 680.523i) q^{20} +(2734.15 + 1578.56i) q^{21} +(11.7017 + 1133.13i) q^{22} +(-821.065 + 474.042i) q^{23} +(-1178.47 + 2195.54i) q^{24} +(1267.93 + 2196.13i) q^{25} +(1287.86 - 761.385i) q^{26} +4081.62 q^{27} +(151.565 + 7337.62i) q^{28} +(2115.82 - 1221.57i) q^{29} +(961.880 + 1626.99i) q^{30} +5388.46 q^{31} +(-5784.90 + 298.953i) q^{32} +(-2388.11 - 1378.77i) q^{33} +(6378.35 - 11315.9i) q^{34} +(4820.97 + 2783.39i) q^{35} +(886.597 + 1464.91i) q^{36} +12288.6i q^{37} +(-8815.95 + 1230.51i) q^{38} +3640.63i q^{39} +(-2077.94 + 3871.28i) q^{40} +(-7168.50 - 4138.74i) q^{41} +(-15558.1 - 8769.50i) q^{42} +(-7067.54 - 4080.45i) q^{43} +(-132.382 - 6408.95i) q^{44} +1298.79 q^{45} +(4616.70 - 2729.40i) q^{46} +(20529.3 - 11852.6i) q^{47} +(6537.85 - 12488.1i) q^{48} -35794.2 q^{49} +(-7300.42 - 12348.4i) q^{50} +(15804.8 + 27374.7i) q^{51} +(-7240.36 + 4382.04i) q^{52} +(25215.7 - 14558.3i) q^{53} +(-23087.9 + 238.424i) q^{54} +(-4210.82 - 2431.12i) q^{55} +(-1285.95 - 41496.8i) q^{56} +(8340.19 - 19990.9i) q^{57} +(-11896.9 + 7033.48i) q^{58} +(4016.21 - 6956.29i) q^{59} +(-5535.96 - 9146.97i) q^{60} +(3331.82 + 5770.88i) q^{61} +(-30480.1 + 314.762i) q^{62} +(-10628.2 + 6136.21i) q^{63} +(32705.1 - 2028.96i) q^{64} +6419.32i q^{65} +(13589.0 + 7659.61i) q^{66} +(-13940.9 - 24146.3i) q^{67} +(-35418.5 + 64381.6i) q^{68} +13050.9i q^{69} +(-27432.7 - 15462.8i) q^{70} +(-22981.2 + 39804.5i) q^{71} +(-5100.65 - 8234.54i) q^{72} +(-44401.0 + 76904.8i) q^{73} +(-717.828 - 69511.1i) q^{74} +34907.6 q^{75} +(49796.0 - 7475.40i) q^{76} +45943.9 q^{77} +(-212.664 - 20593.4i) q^{78} +(-10151.1 + 17582.2i) q^{79} +(11527.8 - 22019.5i) q^{80} +(21591.4 - 37397.4i) q^{81} +(40790.8 + 22992.2i) q^{82} +15140.9i q^{83} +(88517.2 + 48696.3i) q^{84} +(27867.7 + 48268.3i) q^{85} +(40216.3 + 22668.4i) q^{86} -33631.2i q^{87} +(1123.20 + 36244.8i) q^{88} +(-37364.2 + 21572.3i) q^{89} +(-7346.67 + 75.8677i) q^{90} +(-30328.5 - 52530.5i) q^{91} +(-25955.2 + 15708.7i) q^{92} +(37087.5 - 64237.5i) q^{93} +(-115433. + 68244.0i) q^{94} +(14705.8 - 35248.9i) q^{95} +(-36252.2 + 71021.2i) q^{96} +(-16061.3 - 9272.99i) q^{97} +(202472. - 2090.89i) q^{98} +(9283.10 - 5359.60i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.65655 + 0.0584141i −0.999947 + 0.0103263i
\(3\) 6.88277 11.9213i 0.441530 0.764753i −0.556273 0.831000i \(-0.687769\pi\)
0.997803 + 0.0662469i \(0.0211025\pi\)
\(4\) 31.9932 0.660845i 0.999787 0.0206514i
\(5\) 12.1360 21.0202i 0.217096 0.376021i −0.736823 0.676086i \(-0.763675\pi\)
0.953919 + 0.300065i \(0.0970083\pi\)
\(6\) −38.2364 + 67.8356i −0.433610 + 0.769271i
\(7\) 229.350i 1.76910i 0.466444 + 0.884551i \(0.345535\pi\)
−0.466444 + 0.884551i \(0.654465\pi\)
\(8\) −180.932 + 5.60696i −0.999520 + 0.0309744i
\(9\) 26.7549 + 46.3408i 0.110102 + 0.190703i
\(10\) −67.4201 + 119.611i −0.213201 + 0.378243i
\(11\) 200.322i 0.499169i −0.968353 0.249585i \(-0.919706\pi\)
0.968353 0.249585i \(-0.0802941\pi\)
\(12\) 212.324 385.949i 0.425643 0.773708i
\(13\) −229.041 + 132.237i −0.375885 + 0.217017i −0.676026 0.736877i \(-0.736299\pi\)
0.300141 + 0.953895i \(0.402966\pi\)
\(14\) −13.3973 1297.33i −0.0182682 1.76901i
\(15\) −167.059 289.355i −0.191709 0.332049i
\(16\) 1023.13 42.2851i 0.999147 0.0412940i
\(17\) −1148.14 + 1988.64i −0.963546 + 1.66891i −0.250075 + 0.968226i \(0.580455\pi\)
−0.713471 + 0.700685i \(0.752878\pi\)
\(18\) −154.047 260.566i −0.112066 0.189556i
\(19\) 1560.62 201.420i 0.991774 0.128003i
\(20\) 374.379 680.523i 0.209284 0.380424i
\(21\) 2734.15 + 1578.56i 1.35292 + 0.781112i
\(22\) 11.7017 + 1133.13i 0.00515455 + 0.499143i
\(23\) −821.065 + 474.042i −0.323637 + 0.186852i −0.653012 0.757347i \(-0.726495\pi\)
0.329376 + 0.944199i \(0.393162\pi\)
\(24\) −1178.47 + 2195.54i −0.417631 + 0.778062i
\(25\) 1267.93 + 2196.13i 0.405739 + 0.702760i
\(26\) 1287.86 761.385i 0.373624 0.220887i
\(27\) 4081.62 1.07751
\(28\) 151.565 + 7337.62i 0.0365344 + 1.76872i
\(29\) 2115.82 1221.57i 0.467180 0.269727i −0.247878 0.968791i \(-0.579733\pi\)
0.715059 + 0.699065i \(0.246400\pi\)
\(30\) 961.880 + 1626.99i 0.195127 + 0.330052i
\(31\) 5388.46 1.00707 0.503536 0.863974i \(-0.332032\pi\)
0.503536 + 0.863974i \(0.332032\pi\)
\(32\) −5784.90 + 298.953i −0.998667 + 0.0516093i
\(33\) −2388.11 1378.77i −0.381741 0.220398i
\(34\) 6378.35 11315.9i 0.946261 1.67877i
\(35\) 4820.97 + 2783.39i 0.665219 + 0.384064i
\(36\) 886.597 + 1464.91i 0.114017 + 0.188388i
\(37\) 12288.6i 1.47570i 0.674964 + 0.737850i \(0.264159\pi\)
−0.674964 + 0.737850i \(0.735841\pi\)
\(38\) −8815.95 + 1230.51i −0.990399 + 0.138237i
\(39\) 3640.63i 0.383279i
\(40\) −2077.94 + 3871.28i −0.205345 + 0.382565i
\(41\) −7168.50 4138.74i −0.665991 0.384510i 0.128565 0.991701i \(-0.458963\pi\)
−0.794556 + 0.607191i \(0.792296\pi\)
\(42\) −15558.1 8769.50i −1.36092 0.767099i
\(43\) −7067.54 4080.45i −0.582904 0.336540i 0.179382 0.983779i \(-0.442590\pi\)
−0.762287 + 0.647239i \(0.775923\pi\)
\(44\) −132.382 6408.95i −0.0103086 0.499063i
\(45\) 1298.79 0.0956109
\(46\) 4616.70 2729.40i 0.321690 0.190184i
\(47\) 20529.3 11852.6i 1.35559 0.782652i 0.366566 0.930392i \(-0.380533\pi\)
0.989026 + 0.147740i \(0.0471999\pi\)
\(48\) 6537.85 12488.1i 0.409574 0.782333i
\(49\) −35794.2 −2.12972
\(50\) −7300.42 12348.4i −0.412974 0.698533i
\(51\) 15804.8 + 27374.7i 0.850869 + 1.47375i
\(52\) −7240.36 + 4382.04i −0.371323 + 0.224734i
\(53\) 25215.7 14558.3i 1.23305 0.711902i 0.265386 0.964142i \(-0.414501\pi\)
0.967665 + 0.252240i \(0.0811672\pi\)
\(54\) −23087.9 + 238.424i −1.07746 + 0.0111267i
\(55\) −4210.82 2431.12i −0.187698 0.108368i
\(56\) −1285.95 41496.8i −0.0547968 1.76825i
\(57\) 8340.19 19990.9i 0.340008 0.814979i
\(58\) −11896.9 + 7033.48i −0.464370 + 0.274537i
\(59\) 4016.21 6956.29i 0.150206 0.260164i −0.781097 0.624409i \(-0.785340\pi\)
0.931303 + 0.364245i \(0.118673\pi\)
\(60\) −5535.96 9146.97i −0.198525 0.328019i
\(61\) 3331.82 + 5770.88i 0.114645 + 0.198572i 0.917638 0.397417i \(-0.130093\pi\)
−0.802993 + 0.595989i \(0.796760\pi\)
\(62\) −30480.1 + 314.762i −1.00702 + 0.0103993i
\(63\) −10628.2 + 6136.21i −0.337373 + 0.194782i
\(64\) 32705.1 2028.96i 0.998081 0.0619190i
\(65\) 6419.32i 0.188454i
\(66\) 13589.0 + 7659.61i 0.383997 + 0.216445i
\(67\) −13940.9 24146.3i −0.379405 0.657149i 0.611571 0.791190i \(-0.290538\pi\)
−0.990976 + 0.134041i \(0.957205\pi\)
\(68\) −35418.5 + 64381.6i −0.928875 + 1.68845i
\(69\) 13050.9i 0.330003i
\(70\) −27432.7 15462.8i −0.669149 0.377175i
\(71\) −22981.2 + 39804.5i −0.541036 + 0.937102i 0.457809 + 0.889051i \(0.348634\pi\)
−0.998845 + 0.0480510i \(0.984699\pi\)
\(72\) −5100.65 8234.54i −0.115956 0.187201i
\(73\) −44401.0 + 76904.8i −0.975182 + 1.68907i −0.295850 + 0.955234i \(0.595603\pi\)
−0.679332 + 0.733831i \(0.737730\pi\)
\(74\) −717.828 69511.1i −0.0152385 1.47562i
\(75\) 34907.6 0.716584
\(76\) 49796.0 7475.40i 0.988919 0.148457i
\(77\) 45943.9 0.883081
\(78\) −212.664 20593.4i −0.00395784 0.383258i
\(79\) −10151.1 + 17582.2i −0.182997 + 0.316960i −0.942900 0.333077i \(-0.891913\pi\)
0.759903 + 0.650037i \(0.225246\pi\)
\(80\) 11527.8 22019.5i 0.201383 0.384665i
\(81\) 21591.4 37397.4i 0.365653 0.633329i
\(82\) 40790.8 + 22992.2i 0.669926 + 0.377613i
\(83\) 15140.9i 0.241244i 0.992699 + 0.120622i \(0.0384889\pi\)
−0.992699 + 0.120622i \(0.961511\pi\)
\(84\) 88517.2 + 48696.3i 1.36877 + 0.753005i
\(85\) 27867.7 + 48268.3i 0.418363 + 0.724627i
\(86\) 40216.3 + 22668.4i 0.586349 + 0.330503i
\(87\) 33631.2i 0.476370i
\(88\) 1123.20 + 36244.8i 0.0154615 + 0.498930i
\(89\) −37364.2 + 21572.3i −0.500013 + 0.288683i −0.728719 0.684813i \(-0.759884\pi\)
0.228706 + 0.973496i \(0.426551\pi\)
\(90\) −7346.67 + 75.8677i −0.0956058 + 0.000987303i
\(91\) −30328.5 52530.5i −0.383926 0.664979i
\(92\) −25955.2 + 15708.7i −0.319709 + 0.193495i
\(93\) 37087.5 64237.5i 0.444652 0.770160i
\(94\) −115433. + 68244.0i −1.34744 + 0.796608i
\(95\) 14705.8 35248.9i 0.167178 0.400716i
\(96\) −36252.2 + 71021.2i −0.401473 + 0.786521i
\(97\) −16061.3 9272.99i −0.173321 0.100067i 0.410830 0.911712i \(-0.365239\pi\)
−0.584151 + 0.811645i \(0.698572\pi\)
\(98\) 202472. 2090.89i 2.12961 0.0219920i
\(99\) 9283.10 5359.60i 0.0951930 0.0549597i
\(100\) 42016.5 + 69423.1i 0.420165 + 0.694231i
\(101\) −53918.9 93390.3i −0.525942 0.910958i −0.999543 0.0302188i \(-0.990380\pi\)
0.473601 0.880739i \(-0.342954\pi\)
\(102\) −90999.6 153923.i −0.866042 1.46488i
\(103\) −33521.7 −0.311339 −0.155669 0.987809i \(-0.549753\pi\)
−0.155669 + 0.987809i \(0.549753\pi\)
\(104\) 40699.5 25210.2i 0.368983 0.228556i
\(105\) 66363.3 38314.9i 0.587428 0.339152i
\(106\) −141783. + 83822.6i −1.22563 + 0.724597i
\(107\) 56770.8 0.479364 0.239682 0.970851i \(-0.422957\pi\)
0.239682 + 0.970851i \(0.422957\pi\)
\(108\) 130584. 2697.32i 1.07728 0.0222522i
\(109\) −130148. 75140.9i −1.04923 0.605773i −0.126796 0.991929i \(-0.540470\pi\)
−0.922434 + 0.386155i \(0.873803\pi\)
\(110\) 23960.7 + 13505.8i 0.188807 + 0.106424i
\(111\) 146496. + 84579.7i 1.12855 + 0.651566i
\(112\) 9698.06 + 234654.i 0.0730533 + 1.76759i
\(113\) 30027.6i 0.221220i −0.993864 0.110610i \(-0.964720\pi\)
0.993864 0.110610i \(-0.0352804\pi\)
\(114\) −46009.0 + 113567.i −0.331574 + 0.818446i
\(115\) 23011.9i 0.162259i
\(116\) 66884.7 40480.2i 0.461510 0.279317i
\(117\) −12255.9 7075.96i −0.0827716 0.0477882i
\(118\) −22311.6 + 39583.2i −0.147511 + 0.261701i
\(119\) −456093. 263325.i −2.95247 1.70461i
\(120\) 31848.8 + 51416.9i 0.201902 + 0.325952i
\(121\) 120922. 0.750830
\(122\) −19183.7 32448.7i −0.116690 0.197377i
\(123\) −98678.3 + 56972.0i −0.588111 + 0.339546i
\(124\) 172394. 3560.94i 1.00686 0.0207974i
\(125\) 137401. 0.786528
\(126\) 59760.7 35330.7i 0.335343 0.198256i
\(127\) 30176.6 + 52267.5i 0.166020 + 0.287556i 0.937017 0.349283i \(-0.113575\pi\)
−0.770997 + 0.636839i \(0.780242\pi\)
\(128\) −184880. + 13387.4i −0.997389 + 0.0722222i
\(129\) −97288.6 + 56169.6i −0.514740 + 0.297185i
\(130\) −374.979 36311.2i −0.00194603 0.188444i
\(131\) −87329.2 50419.5i −0.444612 0.256697i 0.260940 0.965355i \(-0.415968\pi\)
−0.705552 + 0.708658i \(0.749301\pi\)
\(132\) −77314.3 42533.2i −0.386211 0.212468i
\(133\) 46195.6 + 357927.i 0.226450 + 1.75455i
\(134\) 80267.8 + 135771.i 0.386171 + 0.653196i
\(135\) 49534.6 85796.4i 0.233924 0.405168i
\(136\) 196586. 366247.i 0.911390 1.69796i
\(137\) 49498.7 + 85734.2i 0.225316 + 0.390259i 0.956414 0.292013i \(-0.0943252\pi\)
−0.731098 + 0.682272i \(0.760992\pi\)
\(138\) −762.356 73823.0i −0.00340769 0.329985i
\(139\) −264840. + 152906.i −1.16264 + 0.671253i −0.951936 0.306296i \(-0.900910\pi\)
−0.210708 + 0.977549i \(0.567577\pi\)
\(140\) 156078. + 85863.6i 0.673008 + 0.370245i
\(141\) 326315.i 1.38226i
\(142\) 127669. 226499.i 0.531330 0.942638i
\(143\) 26490.0 + 45882.1i 0.108328 + 0.187630i
\(144\) 29333.1 + 46281.1i 0.117883 + 0.185994i
\(145\) 59300.1i 0.234226i
\(146\) 246664. 437610.i 0.957689 1.69905i
\(147\) −246363. + 426714.i −0.940335 + 1.62871i
\(148\) 8120.86 + 393151.i 0.0304753 + 1.47539i
\(149\) −6827.05 + 11824.8i −0.0251923 + 0.0436343i −0.878347 0.478024i \(-0.841353\pi\)
0.853154 + 0.521658i \(0.174686\pi\)
\(150\) −197457. + 2039.10i −0.716546 + 0.00739963i
\(151\) 475487. 1.69706 0.848529 0.529149i \(-0.177489\pi\)
0.848529 + 0.529149i \(0.177489\pi\)
\(152\) −281237. + 45193.8i −0.987333 + 0.158661i
\(153\) −122873. −0.424355
\(154\) −259884. + 2683.77i −0.883034 + 0.00911892i
\(155\) 65394.4 113266.i 0.218631 0.378680i
\(156\) 2405.89 + 116475.i 0.00791525 + 0.383197i
\(157\) 221745. 384074.i 0.717967 1.24356i −0.243836 0.969816i \(-0.578406\pi\)
0.961804 0.273740i \(-0.0882607\pi\)
\(158\) 56393.0 100047.i 0.179714 0.318833i
\(159\) 400805.i 1.25731i
\(160\) −63921.6 + 125228.i −0.197400 + 0.386724i
\(161\) −108721. 188311.i −0.330560 0.572546i
\(162\) −119948. + 212802.i −0.359093 + 0.637071i
\(163\) 443156.i 1.30643i −0.757170 0.653217i \(-0.773419\pi\)
0.757170 0.653217i \(-0.226581\pi\)
\(164\) −232078. 127674.i −0.673790 0.370675i
\(165\) −57964.2 + 33465.7i −0.165749 + 0.0956950i
\(166\) −884.442 85645.3i −0.00249115 0.241231i
\(167\) 207893. + 360081.i 0.576831 + 0.999101i 0.995840 + 0.0911190i \(0.0290444\pi\)
−0.419009 + 0.907982i \(0.637622\pi\)
\(168\) −503547. 270283.i −1.37647 0.738831i
\(169\) −150673. + 260974.i −0.405807 + 0.702878i
\(170\) −160455. 271404.i −0.425824 0.720268i
\(171\) 51088.1 + 66931.3i 0.133607 + 0.175041i
\(172\) −228810. 125876.i −0.589730 0.324430i
\(173\) −358270. 206847.i −0.910113 0.525454i −0.0296452 0.999560i \(-0.509438\pi\)
−0.880467 + 0.474107i \(0.842771\pi\)
\(174\) 1964.54 + 190237.i 0.00491912 + 0.476344i
\(175\) −503681. + 290800.i −1.24325 + 0.717793i
\(176\) −8470.65 204955.i −0.0206127 0.498744i
\(177\) −55285.4 95757.1i −0.132641 0.229741i
\(178\) 210093. 124207.i 0.497005 0.293830i
\(179\) 293053. 0.683618 0.341809 0.939769i \(-0.388960\pi\)
0.341809 + 0.939769i \(0.388960\pi\)
\(180\) 41552.4 858.299i 0.0955905 0.00197450i
\(181\) 33834.7 19534.5i 0.0767655 0.0443206i −0.461126 0.887335i \(-0.652554\pi\)
0.537891 + 0.843014i \(0.319221\pi\)
\(182\) 174623. + 295370.i 0.390772 + 0.660979i
\(183\) 91728.6 0.202478
\(184\) 145899. 90373.2i 0.317694 0.196786i
\(185\) 258309. + 149135.i 0.554894 + 0.320368i
\(186\) −206035. + 365529.i −0.436676 + 0.774711i
\(187\) 398369. + 229998.i 0.833069 + 0.480973i
\(188\) 648964. 392769.i 1.33914 0.810480i
\(189\) 936117.i 1.90623i
\(190\) −81125.1 + 200247.i −0.163031 + 0.402421i
\(191\) 289826.i 0.574848i −0.957803 0.287424i \(-0.907201\pi\)
0.957803 0.287424i \(-0.0927989\pi\)
\(192\) 200914. 403853.i 0.393330 0.790624i
\(193\) −197568. 114066.i −0.381789 0.220426i 0.296808 0.954937i \(-0.404078\pi\)
−0.678596 + 0.734512i \(0.737411\pi\)
\(194\) 91393.2 + 51514.9i 0.174345 + 0.0982718i
\(195\) 76526.7 + 44182.7i 0.144121 + 0.0832082i
\(196\) −1.14517e6 + 23654.4i −2.12927 + 0.0439817i
\(197\) 568956. 1.04451 0.522256 0.852789i \(-0.325091\pi\)
0.522256 + 0.852789i \(0.325091\pi\)
\(198\) −52197.2 + 30859.1i −0.0946204 + 0.0559397i
\(199\) 753732. 435167.i 1.34922 0.778975i 0.361085 0.932533i \(-0.382406\pi\)
0.988140 + 0.153558i \(0.0490731\pi\)
\(200\) −241724. 390241.i −0.427312 0.689856i
\(201\) −383808. −0.670075
\(202\) 310451. + 525118.i 0.535321 + 0.905479i
\(203\) 280167. + 485263.i 0.477174 + 0.826489i
\(204\) 523735. + 865358.i 0.881123 + 1.45586i
\(205\) −173994. + 100456.i −0.289168 + 0.166951i
\(206\) 189617. 1958.14i 0.311322 0.00321497i
\(207\) −43934.9 25365.8i −0.0712663 0.0411456i
\(208\) −228746. + 144980.i −0.366603 + 0.232354i
\(209\) −40349.0 312627.i −0.0638950 0.495063i
\(210\) −373150. + 220607.i −0.583895 + 0.345200i
\(211\) 55802.6 96652.9i 0.0862876 0.149454i −0.819652 0.572862i \(-0.805833\pi\)
0.905939 + 0.423408i \(0.139166\pi\)
\(212\) 797109. 482429.i 1.21809 0.737215i
\(213\) 316348. + 547931.i 0.477767 + 0.827517i
\(214\) −321127. + 3316.22i −0.479339 + 0.00495004i
\(215\) −171544. + 99040.8i −0.253092 + 0.146123i
\(216\) −738497. + 22885.5i −1.07700 + 0.0333753i
\(217\) 1.23584e6i 1.78161i
\(218\) 740578. + 417436.i 1.05543 + 0.594906i
\(219\) 611204. + 1.05864e6i 0.861145 + 1.49155i
\(220\) −136324. 74996.4i −0.189896 0.104468i
\(221\) 607306.i 0.836425i
\(222\) −833605. 469872.i −1.13521 0.639878i
\(223\) 463448. 802716.i 0.624078 1.08094i −0.364640 0.931149i \(-0.618808\pi\)
0.988718 0.149787i \(-0.0478588\pi\)
\(224\) −68564.7 1.32676e6i −0.0913020 1.76674i
\(225\) −67846.8 + 117514.i −0.0893456 + 0.154751i
\(226\) 1754.04 + 169853.i 0.00228437 + 0.221208i
\(227\) 252606. 0.325372 0.162686 0.986678i \(-0.447984\pi\)
0.162686 + 0.986678i \(0.447984\pi\)
\(228\) 253618. 645085.i 0.323105 0.821826i
\(229\) 492383. 0.620461 0.310230 0.950661i \(-0.399594\pi\)
0.310230 + 0.950661i \(0.399594\pi\)
\(230\) −1344.22 130168.i −0.00167553 0.162250i
\(231\) 316221. 547711.i 0.389907 0.675339i
\(232\) −375972. + 232885.i −0.458602 + 0.284068i
\(233\) −153004. + 265010.i −0.184634 + 0.319796i −0.943453 0.331506i \(-0.892443\pi\)
0.758819 + 0.651302i \(0.225777\pi\)
\(234\) 69739.6 + 39309.6i 0.0832607 + 0.0469309i
\(235\) 575373.i 0.679641i
\(236\) 123894. 225208.i 0.144801 0.263211i
\(237\) 139735. + 242028.i 0.161597 + 0.279895i
\(238\) 2.59530e6 + 1.46287e6i 2.96992 + 1.67403i
\(239\) 69064.5i 0.0782096i 0.999235 + 0.0391048i \(0.0124506\pi\)
−0.999235 + 0.0391048i \(0.987549\pi\)
\(240\) −183158. 288982.i −0.205257 0.323849i
\(241\) 336054. 194021.i 0.372706 0.215182i −0.301934 0.953329i \(-0.597632\pi\)
0.674640 + 0.738147i \(0.264299\pi\)
\(242\) −684001. + 7063.55i −0.750790 + 0.00775326i
\(243\) 198699. + 344156.i 0.215864 + 0.373887i
\(244\) 110409. + 182427.i 0.118722 + 0.196162i
\(245\) −434399. + 752401.i −0.462353 + 0.800819i
\(246\) 554851. 328029.i 0.584573 0.345601i
\(247\) −330811. + 252505.i −0.345014 + 0.263346i
\(248\) −974947. + 30212.9i −1.00659 + 0.0311934i
\(249\) 180499. + 104211.i 0.184492 + 0.106516i
\(250\) −777215. + 8026.15i −0.786486 + 0.00812189i
\(251\) −1.63726e6 + 945272.i −1.64034 + 0.947049i −0.659624 + 0.751596i \(0.729285\pi\)
−0.980713 + 0.195453i \(0.937382\pi\)
\(252\) −335976. + 203341.i −0.333278 + 0.201708i
\(253\) 94961.2 + 164478.i 0.0932706 + 0.161549i
\(254\) −173749. 293891.i −0.168981 0.285826i
\(255\) 767228. 0.738880
\(256\) 1.04500e6 86526.0i 0.996590 0.0825176i
\(257\) 478925. 276508.i 0.452309 0.261140i −0.256496 0.966545i \(-0.582568\pi\)
0.708805 + 0.705405i \(0.249235\pi\)
\(258\) 547037. 323409.i 0.511644 0.302485i
\(259\) −2.81839e6 −2.61066
\(260\) 4242.18 + 205374.i 0.00389184 + 0.188414i
\(261\) 113217. + 65365.9i 0.102875 + 0.0593950i
\(262\) 496927. + 280099.i 0.447239 + 0.252092i
\(263\) −975033. 562935.i −0.869220 0.501844i −0.00213113 0.999998i \(-0.500678\pi\)
−0.867089 + 0.498153i \(0.834012\pi\)
\(264\) 439817. + 236075.i 0.388385 + 0.208468i
\(265\) 706718.i 0.618204i
\(266\) −282216. 2.02193e6i −0.244555 1.75212i
\(267\) 593908.i 0.509848i
\(268\) −461970. 763305.i −0.392895 0.649174i
\(269\) −608467. 351298.i −0.512691 0.296003i 0.221248 0.975218i \(-0.428987\pi\)
−0.733939 + 0.679215i \(0.762320\pi\)
\(270\) −275183. + 488206.i −0.229727 + 0.407562i
\(271\) −124374. 71807.5i −0.102874 0.0593945i 0.447680 0.894194i \(-0.352250\pi\)
−0.550554 + 0.834799i \(0.685584\pi\)
\(272\) −1.09060e6 + 2.08318e6i −0.893808 + 1.70728i
\(273\) −834976. −0.678059
\(274\) −285000. 482069.i −0.229334 0.387911i
\(275\) 439933. 253996.i 0.350796 0.202532i
\(276\) 8624.62 + 417539.i 0.00681502 + 0.329932i
\(277\) −979935. −0.767358 −0.383679 0.923467i \(-0.625343\pi\)
−0.383679 + 0.923467i \(0.625343\pi\)
\(278\) 1.48915e6 880389.i 1.15565 0.683223i
\(279\) 144167. + 249705.i 0.110881 + 0.192051i
\(280\) −887877. 476575.i −0.676796 0.363275i
\(281\) 1.69676e6 979625.i 1.28190 0.740106i 0.304706 0.952446i \(-0.401442\pi\)
0.977196 + 0.212340i \(0.0681085\pi\)
\(282\) 19061.4 + 1.84582e6i 0.0142735 + 1.38218i
\(283\) −7626.57 4403.20i −0.00566061 0.00326815i 0.497167 0.867655i \(-0.334374\pi\)
−0.502828 + 0.864387i \(0.667707\pi\)
\(284\) −708936. + 1.28866e6i −0.521568 + 0.948075i
\(285\) −318997. 417923.i −0.232635 0.304778i
\(286\) −152522. 257987.i −0.110260 0.186502i
\(287\) 949217. 1.64409e6i 0.680238 1.17821i
\(288\) −168628. 260078.i −0.119798 0.184766i
\(289\) −1.92652e6 3.33683e6i −1.35684 2.35012i
\(290\) 3463.96 + 335434.i 0.00241868 + 0.234214i
\(291\) −221092. + 127648.i −0.153053 + 0.0883651i
\(292\) −1.36971e6 + 2.48977e6i −0.940093 + 1.70884i
\(293\) 2.01732e6i 1.37279i −0.727227 0.686397i \(-0.759191\pi\)
0.727227 0.686397i \(-0.240809\pi\)
\(294\) 1.36864e6 2.42812e6i 0.923467 1.63833i
\(295\) −97481.7 168843.i −0.0652181 0.112961i
\(296\) −68901.7 2.22341e6i −0.0457089 1.47499i
\(297\) 817640.i 0.537862i
\(298\) 37926.9 67286.4i 0.0247404 0.0438921i
\(299\) 125372. 217150.i 0.0811001 0.140470i
\(300\) 1.11681e6 23068.5i 0.716431 0.0147985i
\(301\) 935849. 1.62094e6i 0.595373 1.03122i
\(302\) −2.68962e6 + 27775.2i −1.69697 + 0.0175243i
\(303\) −1.48445e6 −0.928877
\(304\) 1.58819e6 272069.i 0.985642 0.168848i
\(305\) 161740. 0.0995561
\(306\) 695039. 7177.54i 0.424332 0.00438199i
\(307\) 348611. 603812.i 0.211103 0.365642i −0.740957 0.671553i \(-0.765628\pi\)
0.952060 + 0.305911i \(0.0989610\pi\)
\(308\) 1.46989e6 30361.8i 0.882893 0.0182369i
\(309\) −230722. + 399623.i −0.137466 + 0.238097i
\(310\) −363291. + 644518.i −0.214709 + 0.380917i
\(311\) 734904.i 0.430853i −0.976520 0.215427i \(-0.930886\pi\)
0.976520 0.215427i \(-0.0691142\pi\)
\(312\) −20412.9 658708.i −0.0118718 0.383095i
\(313\) 510787. + 884709.i 0.294699 + 0.510434i 0.974915 0.222578i \(-0.0714472\pi\)
−0.680216 + 0.733012i \(0.738114\pi\)
\(314\) −1.23188e6 + 2.18549e6i −0.705088 + 1.25090i
\(315\) 297877.i 0.169145i
\(316\) −313146. + 569217.i −0.176412 + 0.320671i
\(317\) −1.66793e6 + 962981.i −0.932245 + 0.538232i −0.887521 0.460767i \(-0.847574\pi\)
−0.0447242 + 0.998999i \(0.514241\pi\)
\(318\) 23412.7 + 2.26718e6i 0.0129833 + 1.25724i
\(319\) −244708. 423847.i −0.134639 0.233202i
\(320\) 354261. 712092.i 0.193396 0.388742i
\(321\) 390741. 676783.i 0.211654 0.366595i
\(322\) 625988. + 1.05884e6i 0.336454 + 0.569102i
\(323\) −1.39126e6 + 3.33476e6i −0.741995 + 1.77852i
\(324\) 666064. 1.21073e6i 0.352496 0.640745i
\(325\) −580818. 335335.i −0.305022 0.176105i
\(326\) 25886.6 + 2.50674e6i 0.0134906 + 1.30637i
\(327\) −1.79156e6 + 1.03436e6i −0.926534 + 0.534934i
\(328\) 1.32022e6 + 708638.i 0.677582 + 0.363697i
\(329\) 2.71839e6 + 4.70838e6i 1.38459 + 2.39818i
\(330\) 325923. 192686.i 0.164752 0.0974015i
\(331\) 1.44174e6 0.723296 0.361648 0.932315i \(-0.382214\pi\)
0.361648 + 0.932315i \(0.382214\pi\)
\(332\) 10005.8 + 484405.i 0.00498203 + 0.241192i
\(333\) −569463. + 328780.i −0.281420 + 0.162478i
\(334\) −1.19699e6 2.02468e6i −0.587118 0.993092i
\(335\) −676747. −0.329469
\(336\) 2.86413e6 + 1.49945e6i 1.38403 + 0.724578i
\(337\) 2.52805e6 + 1.45957e6i 1.21258 + 0.700084i 0.963321 0.268353i \(-0.0864793\pi\)
0.249260 + 0.968437i \(0.419813\pi\)
\(338\) 837047. 1.48501e6i 0.398527 0.707031i
\(339\) −357968. 206673.i −0.169179 0.0976753i
\(340\) 923474. + 1.52584e6i 0.433239 + 0.715832i
\(341\) 1.07943e6i 0.502699i
\(342\) −292892. 375616.i −0.135407 0.173652i
\(343\) 4.35471e6i 1.99859i
\(344\) 1.30163e6 + 698658.i 0.593049 + 0.318323i
\(345\) 274332. + 158386.i 0.124088 + 0.0716422i
\(346\) 2.03866e6 + 1.14911e6i 0.915490 + 0.516028i
\(347\) 74868.9 + 43225.6i 0.0333793 + 0.0192716i 0.516597 0.856229i \(-0.327199\pi\)
−0.483217 + 0.875500i \(0.660532\pi\)
\(348\) −22225.0 1.07597e6i −0.00983771 0.476268i
\(349\) 3.16794e6 1.39224 0.696119 0.717927i \(-0.254909\pi\)
0.696119 + 0.717927i \(0.254909\pi\)
\(350\) 2.83211e6 1.67435e6i 1.23578 0.730593i
\(351\) −934858. + 539741.i −0.405021 + 0.233839i
\(352\) 59887.0 + 1.15885e6i 0.0257618 + 0.498504i
\(353\) −355268. −0.151747 −0.0758735 0.997117i \(-0.524175\pi\)
−0.0758735 + 0.997117i \(0.524175\pi\)
\(354\) 318318. + 538425.i 0.135006 + 0.228359i
\(355\) 557799. + 966137.i 0.234913 + 0.406881i
\(356\) −1.18114e6 + 714857.i −0.493944 + 0.298947i
\(357\) −6.27837e6 + 3.62482e6i −2.60721 + 1.50527i
\(358\) −1.65767e6 + 17118.4i −0.683582 + 0.00705922i
\(359\) −357776. 206562.i −0.146513 0.0845891i 0.424952 0.905216i \(-0.360291\pi\)
−0.571464 + 0.820627i \(0.693624\pi\)
\(360\) −234993. + 7282.26i −0.0955650 + 0.00296149i
\(361\) 2.39496e6 628680.i 0.967231 0.253899i
\(362\) −190247. + 112474.i −0.0763038 + 0.0451109i
\(363\) 832278. 1.44155e6i 0.331514 0.574199i
\(364\) −1.00502e6 1.66057e6i −0.397577 0.656908i
\(365\) 1.07770e6 + 1.86664e6i 0.423416 + 0.733378i
\(366\) −518868. + 5358.25i −0.202467 + 0.00209084i
\(367\) 31653.2 18275.0i 0.0122674 0.00708258i −0.493854 0.869545i \(-0.664412\pi\)
0.506121 + 0.862462i \(0.331079\pi\)
\(368\) −820008. + 519724.i −0.315645 + 0.200057i
\(369\) 442925.i 0.169342i
\(370\) −1.46985e6 828499.i −0.558173 0.314621i
\(371\) 3.33893e6 + 5.78320e6i 1.25943 + 2.18139i
\(372\) 1.14410e6 2.07967e6i 0.428653 0.779179i
\(373\) 894967.i 0.333069i 0.986036 + 0.166535i \(0.0532578\pi\)
−0.986036 + 0.166535i \(0.946742\pi\)
\(374\) −2.26683e6 1.27773e6i −0.837991 0.472345i
\(375\) 945699. 1.63800e6i 0.347276 0.601499i
\(376\) −3.64796e6 + 2.25963e6i −1.33070 + 0.824265i
\(377\) −323074. + 559580.i −0.117071 + 0.202772i
\(378\) −54682.5 5.29520e6i −0.0196842 1.90613i
\(379\) −1.82735e6 −0.653466 −0.326733 0.945117i \(-0.605948\pi\)
−0.326733 + 0.945117i \(0.605948\pi\)
\(380\) 447191. 1.13744e6i 0.158867 0.404083i
\(381\) 830796. 0.293212
\(382\) 16929.9 + 1.63941e6i 0.00593603 + 0.574818i
\(383\) 1.43522e6 2.48587e6i 0.499943 0.865927i −0.500057 0.865993i \(-0.666688\pi\)
1.00000 6.56136e-5i \(2.08855e-5\pi\)
\(384\) −1.11289e6 + 2.29615e6i −0.385145 + 0.794644i
\(385\) 557575. 965749.i 0.191713 0.332057i
\(386\) 1.12422e6 + 633679.i 0.384044 + 0.216472i
\(387\) 436687.i 0.148215i
\(388\) −519980. 286058.i −0.175350 0.0964662i
\(389\) −2.72441e6 4.71881e6i −0.912847 1.58110i −0.810024 0.586397i \(-0.800546\pi\)
−0.102823 0.994700i \(-0.532787\pi\)
\(390\) −435458. 245452.i −0.144972 0.0817155i
\(391\) 2.17707e6i 0.720161i
\(392\) 6.47633e6 200697.i 2.12870 0.0659667i
\(393\) −1.20213e6 + 694052.i −0.392619 + 0.226679i
\(394\) −3.21833e6 + 33235.1i −1.04446 + 0.0107859i
\(395\) 246387. + 426755.i 0.0794557 + 0.137621i
\(396\) 293454. 177605.i 0.0940377 0.0569138i
\(397\) −2.16476e6 + 3.74947e6i −0.689339 + 1.19397i 0.282712 + 0.959205i \(0.408766\pi\)
−0.972052 + 0.234766i \(0.924568\pi\)
\(398\) −4.23810e6 + 2.50558e6i −1.34111 + 0.792866i
\(399\) 4.58491e6 + 1.91282e6i 1.44178 + 0.601508i
\(400\) 1.39012e6 + 2.19330e6i 0.434413 + 0.685406i
\(401\) −2.82108e6 1.62875e6i −0.876102 0.505818i −0.00673060 0.999977i \(-0.502142\pi\)
−0.869371 + 0.494160i \(0.835476\pi\)
\(402\) 2.17103e6 22419.8i 0.670040 0.00691937i
\(403\) −1.23418e6 + 712553.i −0.378543 + 0.218552i
\(404\) −1.78675e6 2.95222e6i −0.544642 0.899902i
\(405\) −524068. 907712.i −0.158763 0.274986i
\(406\) −1.61312e6 2.72855e6i −0.485683 0.821518i
\(407\) 2.46168e6 0.736624
\(408\) −3.01309e6 4.86435e6i −0.896110 1.44669i
\(409\) 5.63646e6 3.25421e6i 1.66609 0.961917i 0.696374 0.717679i \(-0.254796\pi\)
0.969715 0.244238i \(-0.0785377\pi\)
\(410\) 978339. 578396.i 0.287428 0.169928i
\(411\) 1.36275e6 0.397935
\(412\) −1.07247e6 + 22152.7i −0.311272 + 0.00642959i
\(413\) 1.59542e6 + 921117.i 0.460257 + 0.265729i
\(414\) 250002. + 140917.i 0.0716873 + 0.0404075i
\(415\) 318265. + 183750.i 0.0907127 + 0.0523730i
\(416\) 1.28545e6 833450.i 0.364184 0.236127i
\(417\) 4.20966e6i 1.18551i
\(418\) 246498. + 1.76603e6i 0.0690037 + 0.494377i
\(419\) 489862.i 0.136314i 0.997675 + 0.0681568i \(0.0217118\pi\)
−0.997675 + 0.0681568i \(0.978288\pi\)
\(420\) 2.09785e6 1.26967e6i 0.580299 0.351211i
\(421\) 1.68028e6 + 970108.i 0.462036 + 0.266757i 0.712900 0.701266i \(-0.247381\pi\)
−0.250864 + 0.968022i \(0.580715\pi\)
\(422\) −310004. + 549982.i −0.0847397 + 0.150338i
\(423\) 1.09852e6 + 634229.i 0.298508 + 0.172343i
\(424\) −4.48071e6 + 2.77545e6i −1.21041 + 0.749754i
\(425\) −5.82306e6 −1.56379
\(426\) −1.82145e6 3.08092e6i −0.486287 0.822539i
\(427\) −1.32355e6 + 764151.i −0.351294 + 0.202819i
\(428\) 1.81628e6 37516.7i 0.479262 0.00989955i
\(429\) 729299. 0.191321
\(430\) 964561. 570250.i 0.251570 0.148728i
\(431\) 2.17056e6 + 3.75953e6i 0.562833 + 0.974855i 0.997248 + 0.0741421i \(0.0236218\pi\)
−0.434415 + 0.900713i \(0.643045\pi\)
\(432\) 4.17601e6 172592.i 1.07660 0.0444949i
\(433\) −753960. + 435299.i −0.193254 + 0.111575i −0.593505 0.804830i \(-0.702256\pi\)
0.400251 + 0.916406i \(0.368923\pi\)
\(434\) −72190.5 6.99059e6i −0.0183974 1.78152i
\(435\) −706935. 408149.i −0.179125 0.103418i
\(436\) −4.21350e6 2.31799e6i −1.06152 0.583976i
\(437\) −1.18589e6 + 905177.i −0.297057 + 0.226741i
\(438\) −3.51915e6 5.95253e6i −0.876501 1.48257i
\(439\) 1.99396e6 3.45365e6i 0.493805 0.855296i −0.506169 0.862434i \(-0.668939\pi\)
0.999975 + 0.00713827i \(0.00227220\pi\)
\(440\) 775505. + 416258.i 0.190965 + 0.102502i
\(441\) −957669. 1.65873e6i −0.234487 0.406143i
\(442\) 35475.3 + 3.43526e6i 0.00863714 + 0.836380i
\(443\) −1.50123e6 + 866737.i −0.363445 + 0.209835i −0.670591 0.741827i \(-0.733959\pi\)
0.307146 + 0.951662i \(0.400626\pi\)
\(444\) 4.74278e6 + 2.60916e6i 1.14176 + 0.628121i
\(445\) 1.04721e6i 0.250687i
\(446\) −2.57463e6 + 4.56768e6i −0.612883 + 1.08732i
\(447\) 93978.1 + 162775.i 0.0222463 + 0.0385317i
\(448\) 465342. + 7.50090e6i 0.109541 + 1.76571i
\(449\) 5.95242e6i 1.39341i 0.717360 + 0.696703i \(0.245350\pi\)
−0.717360 + 0.696703i \(0.754650\pi\)
\(450\) 376914. 668688.i 0.0877428 0.155665i
\(451\) −829082. + 1.43601e6i −0.191936 + 0.332442i
\(452\) −19843.6 960678.i −0.00456850 0.221173i
\(453\) 3.27267e6 5.66843e6i 0.749302 1.29783i
\(454\) −1.42888e6 + 14755.8i −0.325354 + 0.00335987i
\(455\) −1.47227e6 −0.333394
\(456\) −1.39692e6 + 3.66377e6i −0.314601 + 0.825119i
\(457\) −869301. −0.194706 −0.0973530 0.995250i \(-0.531038\pi\)
−0.0973530 + 0.995250i \(0.531038\pi\)
\(458\) −2.78519e6 + 28762.1i −0.620428 + 0.00640704i
\(459\) −4.68627e6 + 8.11686e6i −1.03823 + 1.79828i
\(460\) 15207.3 + 736224.i 0.00335087 + 0.162224i
\(461\) 1.77528e6 3.07488e6i 0.389059 0.673870i −0.603264 0.797541i \(-0.706134\pi\)
0.992323 + 0.123671i \(0.0394669\pi\)
\(462\) −1.75673e6 + 3.11663e6i −0.382912 + 0.679329i
\(463\) 2.63297e6i 0.570813i −0.958407 0.285407i \(-0.907871\pi\)
0.958407 0.285407i \(-0.0921286\pi\)
\(464\) 2.11310e6 1.33929e6i 0.455644 0.288788i
\(465\) −900190. 1.55917e6i −0.193064 0.334397i
\(466\) 849993. 1.50798e6i 0.181322 0.321685i
\(467\) 4.82022e6i 1.02276i −0.859354 0.511381i \(-0.829134\pi\)
0.859354 0.511381i \(-0.170866\pi\)
\(468\) −396782. 218283.i −0.0837408 0.0460687i
\(469\) 5.53795e6 3.19734e6i 1.16256 0.671206i
\(470\) 33609.9 + 3.25463e6i 0.00701815 + 0.679605i
\(471\) −3.05244e6 5.28698e6i −0.634008 1.09813i
\(472\) −687660. + 1.28114e6i −0.142075 + 0.264692i
\(473\) −817405. + 1.41579e6i −0.167990 + 0.290968i
\(474\) −804556. 1.36088e6i −0.164479 0.278211i
\(475\) 2.42110e6 + 3.17193e6i 0.492356 + 0.645044i
\(476\) −1.47659e7 8.12321e6i −2.98705 1.64327i
\(477\) 1.34928e6 + 779009.i 0.271523 + 0.156764i
\(478\) −4034.34 390667.i −0.000807612 0.0782054i
\(479\) 6.83982e6 3.94897e6i 1.36209 0.786403i 0.372189 0.928157i \(-0.378607\pi\)
0.989902 + 0.141754i \(0.0452741\pi\)
\(480\) 1.05292e6 + 1.62394e6i 0.208590 + 0.321713i
\(481\) −1.62501e6 2.81460e6i −0.320253 0.554694i
\(482\) −1.88958e6 + 1.11712e6i −0.370465 + 0.219019i
\(483\) −2.99322e6 −0.583808
\(484\) 3.86868e6 79910.7i 0.750670 0.0155057i
\(485\) −389840. + 225074.i −0.0752544 + 0.0434482i
\(486\) −1.14405e6 1.93513e6i −0.219713 0.371638i
\(487\) 7.74832e6 1.48042 0.740210 0.672375i \(-0.234726\pi\)
0.740210 + 0.672375i \(0.234726\pi\)
\(488\) −635191. 1.02546e6i −0.120741 0.194925i
\(489\) −5.28300e6 3.05014e6i −0.999100 0.576830i
\(490\) 2.41325e6 4.28137e6i 0.454059 0.805551i
\(491\) 3.83819e6 + 2.21598e6i 0.718494 + 0.414823i 0.814198 0.580587i \(-0.197177\pi\)
−0.0957042 + 0.995410i \(0.530510\pi\)
\(492\) −3.11938e6 + 1.88792e6i −0.580973 + 0.351619i
\(493\) 5.61014e6i 1.03958i
\(494\) 1.85650e6 1.44763e6i 0.342276 0.266895i
\(495\) 260177.i 0.0477260i
\(496\) 5.51307e6 227851.i 1.00621 0.0415860i
\(497\) −9.12915e6 5.27072e6i −1.65783 0.957147i
\(498\) −1.02709e6 578933.i −0.185582 0.104606i
\(499\) 4.16078e6 + 2.40223e6i 0.748037 + 0.431879i 0.824984 0.565156i \(-0.191184\pi\)
−0.0769472 + 0.997035i \(0.524517\pi\)
\(500\) 4.39589e6 90800.7i 0.786360 0.0162429i
\(501\) 5.72352e6 1.01875
\(502\) 9.20603e6 5.44262e6i 1.63047 0.963937i
\(503\) −677920. + 391397.i −0.119470 + 0.0689760i −0.558544 0.829475i \(-0.688640\pi\)
0.439074 + 0.898451i \(0.355307\pi\)
\(504\) 1.88859e6 1.16983e6i 0.331177 0.205139i
\(505\) −2.61744e6 −0.456719
\(506\) −546761. 924829.i −0.0949339 0.160578i
\(507\) 2.07410e6 + 3.59245e6i 0.358352 + 0.620684i
\(508\) 999987. + 1.65226e6i 0.171923 + 0.284066i
\(509\) 4.30655e6 2.48639e6i 0.736775 0.425377i −0.0841205 0.996456i \(-0.526808\pi\)
0.820896 + 0.571078i \(0.193475\pi\)
\(510\) −4.33987e6 + 44817.0i −0.738841 + 0.00762987i
\(511\) −1.76381e7 1.01834e7i −2.98813 1.72520i
\(512\) −5.90604e6 + 550481.i −0.995684 + 0.0928042i
\(513\) 6.36985e6 822120.i 1.06865 0.137925i
\(514\) −2.69291e6 + 1.59206e6i −0.449588 + 0.265797i
\(515\) −406820. + 704634.i −0.0675903 + 0.117070i
\(516\) −3.07545e6 + 1.86134e6i −0.508493 + 0.307752i
\(517\) −2.37434e6 4.11248e6i −0.390676 0.676670i
\(518\) 1.59423e7 164634.i 2.61052 0.0269584i
\(519\) −4.93178e6 + 2.84737e6i −0.803684 + 0.464007i
\(520\) −35992.9 1.16146e6i −0.00583725 0.188364i
\(521\) 1.11322e7i 1.79675i 0.439234 + 0.898373i \(0.355250\pi\)
−0.439234 + 0.898373i \(0.644750\pi\)
\(522\) −644237. 363132.i −0.103483 0.0583296i
\(523\) −4.16229e6 7.20931e6i −0.665394 1.15250i −0.979178 0.203001i \(-0.934930\pi\)
0.313785 0.949494i \(-0.398403\pi\)
\(524\) −2.82726e6 1.55537e6i −0.449818 0.247460i
\(525\) 8.00604e6i 1.26771i
\(526\) 5.54821e6 + 3.12732e6i 0.874356 + 0.492842i
\(527\) −6.18670e6 + 1.07157e7i −0.970360 + 1.68071i
\(528\) −2.50164e6 1.30968e6i −0.390517 0.204447i
\(529\) −2.76874e6 + 4.79560e6i −0.430173 + 0.745081i
\(530\) 41282.3 + 3.99759e6i 0.00638373 + 0.618171i
\(531\) 429813. 0.0661520
\(532\) 1.71448e6 + 1.14207e7i 0.262635 + 1.74950i
\(533\) 2.18917e6 0.333782
\(534\) −34692.6 3.35947e6i −0.00526482 0.509821i
\(535\) 688972. 1.19333e6i 0.104068 0.180251i
\(536\) 2.65775e6 + 4.29069e6i 0.399578 + 0.645082i
\(537\) 2.01702e6 3.49358e6i 0.301838 0.522799i
\(538\) 3.46234e6 + 1.95159e6i 0.515721 + 0.290693i
\(539\) 7.17038e6i 1.06309i
\(540\) 1.52807e6 2.77764e6i 0.225507 0.409912i
\(541\) 3.03694e6 + 5.26014e6i 0.446111 + 0.772687i 0.998129 0.0611451i \(-0.0194753\pi\)
−0.552018 + 0.833832i \(0.686142\pi\)
\(542\) 707724. + 398918.i 0.103482 + 0.0583291i
\(543\) 537806.i 0.0782755i
\(544\) 6.04737e6 1.18473e7i 0.876131 1.71641i
\(545\) −3.15895e6 + 1.82382e6i −0.455567 + 0.263022i
\(546\) 4.72309e6 48774.4i 0.678023 0.00700181i
\(547\) −4.12606e6 7.14654e6i −0.589613 1.02124i −0.994283 0.106777i \(-0.965947\pi\)
0.404670 0.914463i \(-0.367386\pi\)
\(548\) 1.64028e6 + 2.71020e6i 0.233327 + 0.385523i
\(549\) −178285. + 308798.i −0.0252455 + 0.0437264i
\(550\) −2.47367e6 + 1.46244e6i −0.348686 + 0.206144i
\(551\) 3.05594e6 2.33258e6i 0.428811 0.327308i
\(552\) −73175.8 2.36133e6i −0.0102216 0.329844i
\(553\) −4.03246e6 2.32814e6i −0.560734 0.323740i
\(554\) 5.54305e6 57242.1i 0.767317 0.00792393i
\(555\) 3.55576e6 2.05292e6i 0.490005 0.282904i
\(556\) −8.37203e6 + 5.06695e6i −1.14853 + 0.695120i
\(557\) 1.87472e6 + 3.24710e6i 0.256034 + 0.443464i 0.965176 0.261602i \(-0.0842508\pi\)
−0.709142 + 0.705066i \(0.750917\pi\)
\(558\) −830077. 1.40405e6i −0.112858 0.190896i
\(559\) 2.15834e6 0.292140
\(560\) 5.05016e6 + 2.64391e6i 0.680511 + 0.356267i
\(561\) 5.48376e6 3.16605e6i 0.735650 0.424728i
\(562\) −9.54059e6 + 5.64042e6i −1.27419 + 0.753304i
\(563\) −7.25302e6 −0.964379 −0.482189 0.876067i \(-0.660158\pi\)
−0.482189 + 0.876067i \(0.660158\pi\)
\(564\) −215644. 1.04398e7i −0.0285456 1.38196i
\(565\) −631186. 364415.i −0.0831833 0.0480259i
\(566\) 43397.3 + 24461.4i 0.00569405 + 0.00320953i
\(567\) 8.57709e6 + 4.95198e6i 1.12042 + 0.646877i
\(568\) 3.93486e6 7.33079e6i 0.511750 0.953410i
\(569\) 1.12624e7i 1.45831i −0.684350 0.729154i \(-0.739914\pi\)
0.684350 0.729154i \(-0.260086\pi\)
\(570\) 1.82884e6 + 2.34537e6i 0.235770 + 0.302360i
\(571\) 8.30831e6i 1.06641i −0.845987 0.533203i \(-0.820988\pi\)
0.845987 0.533203i \(-0.179012\pi\)
\(572\) 877821. + 1.45041e6i 0.112180 + 0.185353i
\(573\) −3.45510e6 1.99480e6i −0.439617 0.253813i
\(574\) −5.27326e6 + 9.35534e6i −0.668035 + 1.18517i
\(575\) −2.08211e6 1.20211e6i −0.262624 0.151626i
\(576\) 969044. + 1.46130e6i 0.121699 + 0.183519i
\(577\) −928000. −0.116040 −0.0580201 0.998315i \(-0.518479\pi\)
−0.0580201 + 0.998315i \(0.518479\pi\)
\(578\) 1.10924e7 + 1.87624e7i 1.38104 + 2.33598i
\(579\) −2.71963e6 + 1.57018e6i −0.337142 + 0.194649i
\(580\) −39188.2 1.89720e6i −0.00483710 0.234176i
\(581\) −3.47256e6 −0.426785
\(582\) 1.24316e6 734961.i 0.152132 0.0899408i
\(583\) −2.91635e6 5.05127e6i −0.355360 0.615501i
\(584\) 7.60238e6 1.41635e7i 0.922397 1.71846i
\(585\) −297476. + 171748.i −0.0359387 + 0.0207492i
\(586\) 117840. + 1.14111e7i 0.0141758 + 1.37272i
\(587\) 4.59699e6 + 2.65407e6i 0.550653 + 0.317920i 0.749385 0.662134i \(-0.230349\pi\)
−0.198732 + 0.980054i \(0.563682\pi\)
\(588\) −7.59996e6 + 1.38147e7i −0.906500 + 1.64778i
\(589\) 8.40932e6 1.08534e6i 0.998787 0.128908i
\(590\) 561273. + 949376.i 0.0663811 + 0.112282i
\(591\) 3.91600e6 6.78270e6i 0.461183 0.798793i
\(592\) 519625. + 1.25728e7i 0.0609376 + 1.47444i
\(593\) 5.64639e6 + 9.77984e6i 0.659378 + 1.14208i 0.980777 + 0.195132i \(0.0625137\pi\)
−0.321399 + 0.946944i \(0.604153\pi\)
\(594\) 47761.7 + 4.62502e6i 0.00555410 + 0.537833i
\(595\) −1.10703e7 + 6.39144e6i −1.28194 + 0.740127i
\(596\) −210605. + 382825.i −0.0242858 + 0.0441453i
\(597\) 1.19806e7i 1.37576i
\(598\) −696487. + 1.23564e6i −0.0796453 + 0.141300i
\(599\) 4.76084e6 + 8.24601e6i 0.542146 + 0.939024i 0.998781 + 0.0493701i \(0.0157214\pi\)
−0.456635 + 0.889654i \(0.650945\pi\)
\(600\) −6.31592e6 + 195726.i −0.716240 + 0.0221957i
\(601\) 9.41943e6i 1.06375i −0.846824 0.531874i \(-0.821488\pi\)
0.846824 0.531874i \(-0.178512\pi\)
\(602\) −5.19899e6 + 9.22359e6i −0.584693 + 1.03731i
\(603\) 745973. 1.29206e6i 0.0835468 0.144707i
\(604\) 1.52123e7 314223.i 1.69670 0.0350466i
\(605\) 1.46751e6 2.54180e6i 0.163002 0.282328i
\(606\) 8.39685e6 86712.7i 0.928827 0.00959182i
\(607\) −979225. −0.107873 −0.0539363 0.998544i \(-0.517177\pi\)
−0.0539363 + 0.998544i \(0.517177\pi\)
\(608\) −8.96780e6 + 1.63175e6i −0.983846 + 0.179017i
\(609\) 7.71330e6 0.842747
\(610\) −914891. + 9447.91i −0.0995508 + 0.00102804i
\(611\) −3.13470e6 + 5.42946e6i −0.339698 + 0.588374i
\(612\) −3.93111e6 + 81200.2i −0.424264 + 0.00876352i
\(613\) 2.89564e6 5.01540e6i 0.311239 0.539081i −0.667392 0.744706i \(-0.732589\pi\)
0.978631 + 0.205625i \(0.0659228\pi\)
\(614\) −1.93667e6 + 3.43586e6i −0.207316 + 0.367802i
\(615\) 2.76565e6i 0.294856i
\(616\) −8.31274e6 + 257605.i −0.882657 + 0.0273529i
\(617\) 8.56912e6 + 1.48422e7i 0.906199 + 1.56958i 0.819300 + 0.573365i \(0.194362\pi\)
0.0868987 + 0.996217i \(0.472304\pi\)
\(618\) 1.28175e6 2.27397e6i 0.135000 0.239504i
\(619\) 1.37983e7i 1.44743i −0.690099 0.723715i \(-0.742433\pi\)
0.690099 0.723715i \(-0.257567\pi\)
\(620\) 2.01732e6 3.66697e6i 0.210764 0.383114i
\(621\) −3.35127e6 + 1.93486e6i −0.348723 + 0.201335i
\(622\) 42928.8 + 4.15702e6i 0.00444910 + 0.430831i
\(623\) −4.94759e6 8.56947e6i −0.510709 0.884573i
\(624\) 153944. + 3.72482e6i 0.0158271 + 0.382952i
\(625\) −2.29480e6 + 3.97470e6i −0.234987 + 0.407010i
\(626\) −2.94097e6 4.97457e6i −0.299954 0.507364i
\(627\) −4.00464e6 1.67073e6i −0.406812 0.169721i
\(628\) 6.84051e6 1.24343e7i 0.692133 1.25812i
\(629\) −2.44376e7 1.41090e7i −2.46281 1.42191i
\(630\) −17400.2 1.68496e6i −0.00174664 0.169136i
\(631\) −1.37321e6 + 792825.i −0.137298 + 0.0792691i −0.567076 0.823666i \(-0.691925\pi\)
0.429778 + 0.902935i \(0.358592\pi\)
\(632\) 1.73807e6 3.23810e6i 0.173091 0.322476i
\(633\) −768153. 1.33048e6i −0.0761971 0.131977i
\(634\) 9.37849e6 5.54458e6i 0.926638 0.547830i
\(635\) 1.46490e6 0.144169
\(636\) −264870. 1.28230e7i −0.0259651 1.25704i
\(637\) 8.19834e6 4.73332e6i 0.800530 0.462186i
\(638\) 1.40896e6 + 2.38322e6i 0.137040 + 0.231799i
\(639\) −2.45943e6 −0.238277
\(640\) −1.96230e6 + 4.04868e6i −0.189372 + 0.390718i
\(641\) −3.45879e6 1.99694e6i −0.332491 0.191964i 0.324456 0.945901i \(-0.394819\pi\)
−0.656946 + 0.753937i \(0.728152\pi\)
\(642\) −2.17071e6 + 3.85108e6i −0.207857 + 0.368761i
\(643\) 9.80995e6 + 5.66378e6i 0.935706 + 0.540230i 0.888612 0.458660i \(-0.151671\pi\)
0.0470943 + 0.998890i \(0.485004\pi\)
\(644\) −3.60278e6 5.95281e6i −0.342313 0.565597i
\(645\) 2.72670e6i 0.258070i
\(646\) 7.67492e6 1.89445e7i 0.723590 1.78609i
\(647\) 8.38998e6i 0.787953i 0.919121 + 0.393976i \(0.128901\pi\)
−0.919121 + 0.393976i \(0.871099\pi\)
\(648\) −3.69690e6 + 6.88747e6i −0.345860 + 0.644351i
\(649\) −1.39350e6 804538.i −0.129866 0.0749781i
\(650\) 3.30502e6 + 1.86291e6i 0.306825 + 0.172946i
\(651\) 1.47328e7 + 8.50601e6i 1.36249 + 0.786635i
\(652\) −292858. 1.41780e7i −0.0269797 1.30616i
\(653\) −4.12702e6 −0.378751 −0.189376 0.981905i \(-0.560646\pi\)
−0.189376 + 0.981905i \(0.560646\pi\)
\(654\) 1.00736e7 5.95554e6i 0.920960 0.544473i
\(655\) −2.11966e6 + 1.22378e6i −0.193047 + 0.111456i
\(656\) −7.50929e6 3.93133e6i −0.681301 0.356681i
\(657\) −4.75177e6 −0.429479
\(658\) −1.56517e7 2.64744e7i −1.40928 2.38376i
\(659\) −9.45898e6 1.63834e7i −0.848459 1.46957i −0.882584 0.470156i \(-0.844198\pi\)
0.0341250 0.999418i \(-0.489136\pi\)
\(660\) −1.83234e6 + 1.10898e6i −0.163737 + 0.0990976i
\(661\) −1.22230e7 + 7.05693e6i −1.08811 + 0.628221i −0.933073 0.359688i \(-0.882883\pi\)
−0.155037 + 0.987909i \(0.549550\pi\)
\(662\) −8.15526e6 + 84217.9i −0.723258 + 0.00746894i
\(663\) −7.23989e6 4.17995e6i −0.639658 0.369307i
\(664\) −84894.4 2.73948e6i −0.00747238 0.241128i
\(665\) 8.08433e6 + 3.37277e6i 0.708908 + 0.295755i
\(666\) 3.20199e6 1.89302e6i 0.279727 0.165375i
\(667\) −1.15815e6 + 2.00598e6i −0.100798 + 0.174587i
\(668\) 6.88912e6 + 1.13828e7i 0.597341 + 0.986976i
\(669\) −6.37962e6 1.10498e7i −0.551099 0.954531i
\(670\) 3.82806e6 39531.6i 0.329451 0.00340218i
\(671\) 1.15604e6 667438.i 0.0991209 0.0572275i
\(672\) −1.62887e7 8.31443e6i −1.39143 0.710247i
\(673\) 5.30981e6i 0.451899i −0.974139 0.225949i \(-0.927452\pi\)
0.974139 0.225949i \(-0.0725484\pi\)
\(674\) −1.43853e7 8.10846e6i −1.21975 0.687525i
\(675\) 5.17522e6 + 8.96375e6i 0.437189 + 0.757234i
\(676\) −4.64805e6 + 8.44895e6i −0.391205 + 0.711109i
\(677\) 1.04841e7i 0.879142i 0.898208 + 0.439571i \(0.144869\pi\)
−0.898208 + 0.439571i \(0.855131\pi\)
\(678\) 2.03694e6 + 1.14815e6i 0.170178 + 0.0959231i
\(679\) 2.12676e6 3.68365e6i 0.177028 0.306622i
\(680\) −5.31281e6 8.57704e6i −0.440608 0.711321i
\(681\) 1.73863e6 3.01140e6i 0.143661 0.248829i
\(682\) 63053.9 + 6.10585e6i 0.00519100 + 0.502672i
\(683\) −1.46008e7 −1.19764 −0.598819 0.800884i \(-0.704363\pi\)
−0.598819 + 0.800884i \(0.704363\pi\)
\(684\) 1.67870e6 + 2.10758e6i 0.137193 + 0.172244i
\(685\) 2.40287e6 0.195661
\(686\) 254376. + 2.46326e7i 0.0206379 + 1.99848i
\(687\) 3.38896e6 5.86985e6i 0.273952 0.474499i
\(688\) −7.40353e6 3.87596e6i −0.596304 0.312183i
\(689\) −3.85029e6 + 6.66889e6i −0.308990 + 0.535187i
\(690\) −1.56103e6 879893.i −0.124821 0.0703570i
\(691\) 1.81066e7i 1.44259i 0.692629 + 0.721294i \(0.256452\pi\)
−0.692629 + 0.721294i \(0.743548\pi\)
\(692\) −1.15989e7 6.38094e6i −0.920770 0.506547i
\(693\) 1.22922e6 + 2.12907e6i 0.0972293 + 0.168406i
\(694\) −426025. 240134.i −0.0335765 0.0189259i
\(695\) 7.42266e6i 0.582904i
\(696\) 188569. + 6.08498e6i 0.0147553 + 0.476141i
\(697\) 1.64609e7 9.50369e6i 1.28343 0.740987i
\(698\) −1.79196e7 + 185052.i −1.39216 + 0.0143766i
\(699\) 2.10618e6 + 3.64801e6i 0.163043 + 0.282399i
\(700\) −1.59222e7 + 9.63647e6i −1.22817 + 0.743315i
\(701\) −9.70158e6 + 1.68036e7i −0.745672 + 1.29154i 0.204209 + 0.978927i \(0.434538\pi\)
−0.949880 + 0.312614i \(0.898795\pi\)
\(702\) 5.25655e6 3.10768e6i 0.402585 0.238009i
\(703\) 2.47517e6 + 1.91778e7i 0.188894 + 1.46356i
\(704\) −406447. 6.55157e6i −0.0309081 0.498212i
\(705\) −6.85920e6 3.96016e6i −0.519757 0.300082i
\(706\) 2.00959e6 20752.7i 0.151739 0.00156698i
\(707\) 2.14190e7 1.23663e7i 1.61158 0.930445i
\(708\) −1.83204e6 3.02704e6i −0.137357 0.226952i
\(709\) 1.75232e6 + 3.03511e6i 0.130918 + 0.226756i 0.924031 0.382319i \(-0.124874\pi\)
−0.793113 + 0.609075i \(0.791541\pi\)
\(710\) −3.21166e6 5.43242e6i −0.239102 0.404434i
\(711\) −1.08636e6 −0.0805935
\(712\) 6.63945e6 4.11262e6i 0.490831 0.304032i
\(713\) −4.42427e6 + 2.55435e6i −0.325925 + 0.188173i
\(714\) 3.53022e7 2.08707e7i 2.59153 1.53212i
\(715\) 1.28593e6 0.0940705
\(716\) 9.37570e6 193663.i 0.683473 0.0141177i
\(717\) 823339. + 475355.i 0.0598110 + 0.0345319i
\(718\) 2.03584e6 + 1.14753e6i 0.147378 + 0.0830716i
\(719\) −8.82660e6 5.09604e6i −0.636753 0.367630i 0.146610 0.989194i \(-0.453164\pi\)
−0.783363 + 0.621565i \(0.786497\pi\)
\(720\) 1.32883e6 54919.4i 0.0955294 0.00394816i
\(721\) 7.68819e6i 0.550790i
\(722\) −1.35105e7 + 3.69606e6i −0.964557 + 0.263874i
\(723\) 5.34161e6i 0.380038i
\(724\) 1.06957e6 647330.i 0.0758339 0.0458965i
\(725\) 5.36545e6 + 3.09774e6i 0.379106 + 0.218877i
\(726\) −4.62362e6 + 8.20281e6i −0.325567 + 0.577592i
\(727\) 4.73684e6 + 2.73481e6i 0.332393 + 0.191907i 0.656903 0.753975i \(-0.271866\pi\)
−0.324510 + 0.945882i \(0.605199\pi\)
\(728\) 5.78194e6 + 9.33442e6i 0.404339 + 0.652768i
\(729\) 1.59638e7 1.11255
\(730\) −6.20512e6 1.04958e7i −0.430966 0.728966i
\(731\) 1.62291e7 9.36985e6i 1.12331 0.648544i
\(732\) 2.93469e6 60618.4i 0.202434 0.00418145i
\(733\) 3.91061e6 0.268834 0.134417 0.990925i \(-0.457084\pi\)
0.134417 + 0.990925i \(0.457084\pi\)
\(734\) −177980. + 105222.i −0.0121936 + 0.00720888i
\(735\) 5.97974e6 + 1.03572e7i 0.408286 + 0.707171i
\(736\) 4.60806e6 2.98774e6i 0.313562 0.203305i
\(737\) −4.83705e6 + 2.79267e6i −0.328029 + 0.189387i
\(738\) 25873.1 + 2.50543e6i 0.00174867 + 0.169333i
\(739\) 1.35740e7 + 7.83697e6i 0.914319 + 0.527883i 0.881818 0.471589i \(-0.156319\pi\)
0.0325010 + 0.999472i \(0.489653\pi\)
\(740\) 8.36268e6 + 4.60059e6i 0.561392 + 0.308841i
\(741\) 733296. + 5.68163e6i 0.0490607 + 0.380126i
\(742\) −1.92247e7 3.25180e7i −1.28189 2.16827i
\(743\) −800160. + 1.38592e6i −0.0531747 + 0.0921012i −0.891388 0.453242i \(-0.850267\pi\)
0.838213 + 0.545343i \(0.183601\pi\)
\(744\) −6.35016e6 + 1.18306e7i −0.420584 + 0.783564i
\(745\) 165707. + 287012.i 0.0109383 + 0.0189456i
\(746\) −52278.7 5.06243e6i −0.00343936 0.333052i
\(747\) −701641. + 405092.i −0.0460059 + 0.0265615i
\(748\) 1.28971e7 + 7.09511e6i 0.842824 + 0.463666i
\(749\) 1.30204e7i 0.848044i
\(750\) −5.25371e6 + 9.32066e6i −0.341046 + 0.605053i
\(751\) −4.71290e6 8.16299e6i −0.304922 0.528140i 0.672322 0.740259i \(-0.265297\pi\)
−0.977244 + 0.212118i \(0.931964\pi\)
\(752\) 2.05029e7 1.29948e7i 1.32212 0.837962i
\(753\) 2.60244e7i 1.67260i
\(754\) 1.79480e6 3.18417e6i 0.114971 0.203971i
\(755\) 5.77052e6 9.99484e6i 0.368424 0.638129i
\(756\) 618629. + 2.99494e7i 0.0393664 + 1.90583i
\(757\) −2.50131e6 + 4.33240e6i −0.158646 + 0.274782i −0.934380 0.356277i \(-0.884046\pi\)
0.775735 + 0.631059i \(0.217379\pi\)
\(758\) 1.03365e7 106743.i 0.653431 0.00674786i
\(759\) 2.61439e6 0.164727
\(760\) −2.46312e6 + 6.46013e6i −0.154686 + 0.405702i
\(761\) 2.47319e7 1.54809 0.774045 0.633131i \(-0.218231\pi\)
0.774045 + 0.633131i \(0.218231\pi\)
\(762\) −4.69944e6 + 48530.2i −0.293197 + 0.00302778i
\(763\) 1.72335e7 2.98493e7i 1.07167 1.85619i
\(764\) −191530. 9.27244e6i −0.0118714 0.574726i
\(765\) −1.49119e6 + 2.58282e6i −0.0921255 + 0.159566i
\(766\) −7.97317e6 + 1.41453e7i −0.490975 + 0.871043i
\(767\) 2.12437e6i 0.130389i
\(768\) 6.16099e6 1.30533e7i 0.376919 0.798579i
\(769\) −2.26188e6 3.91769e6i −0.137928