Properties

Label 76.6.f.a.27.17
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 27.17
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.64697 + 4.99936i) q^{2} +(-15.2473 + 26.4090i) q^{3} +(-17.9871 - 26.4663i) q^{4} +(-23.0916 + 39.9958i) q^{5} +(-91.6692 - 146.130i) q^{6} -131.131i q^{7} +(179.926 - 19.8689i) q^{8} +(-343.458 - 594.887i) q^{9} +O(q^{10})\) \(q+(-2.64697 + 4.99936i) q^{2} +(-15.2473 + 26.4090i) q^{3} +(-17.9871 - 26.4663i) q^{4} +(-23.0916 + 39.9958i) q^{5} +(-91.6692 - 146.130i) q^{6} -131.131i q^{7} +(179.926 - 19.8689i) q^{8} +(-343.458 - 594.887i) q^{9} +(-138.831 - 221.311i) q^{10} +582.590i q^{11} +(973.203 - 71.4851i) q^{12} +(-337.943 + 195.112i) q^{13} +(655.570 + 347.099i) q^{14} +(-704.167 - 1219.65i) q^{15} +(-376.925 + 952.105i) q^{16} +(359.750 - 623.106i) q^{17} +(3883.17 - 142.424i) q^{18} +(-1504.51 + 461.024i) q^{19} +(1473.89 - 108.262i) q^{20} +(3463.04 + 1999.39i) q^{21} +(-2912.58 - 1542.10i) q^{22} +(-1699.95 + 981.465i) q^{23} +(-2218.66 + 5054.61i) q^{24} +(496.058 + 859.197i) q^{25} +(-80.9084 - 2205.95i) q^{26} +13537.0 q^{27} +(-3470.54 + 2358.67i) q^{28} +(6022.02 - 3476.82i) q^{29} +(7961.39 - 292.002i) q^{30} -832.313 q^{31} +(-3762.20 - 4404.57i) q^{32} +(-15385.6 - 8882.90i) q^{33} +(2162.88 + 3447.86i) q^{34} +(5244.68 + 3028.02i) q^{35} +(-9566.60 + 19790.4i) q^{36} -8818.65i q^{37} +(1677.57 - 8741.91i) q^{38} -11899.7i q^{39} +(-3360.10 + 7655.07i) q^{40} +(-382.746 - 220.979i) q^{41} +(-19162.2 + 12020.7i) q^{42} +(-3215.97 - 1856.74i) q^{43} +(15419.0 - 10479.1i) q^{44} +31724.0 q^{45} +(-406.991 - 11096.5i) q^{46} +(2413.36 - 1393.36i) q^{47} +(-19397.1 - 24471.2i) q^{48} -388.314 q^{49} +(-5608.48 + 205.704i) q^{50} +(10970.4 + 19001.3i) q^{51} +(11242.5 + 5434.59i) q^{52} +(-16126.4 + 9310.55i) q^{53} +(-35832.0 + 67676.4i) q^{54} +(-23301.2 - 13452.9i) q^{55} +(-2605.42 - 23593.8i) q^{56} +(10764.5 - 46762.1i) q^{57} +(1441.76 + 39309.3i) q^{58} +(-12700.2 + 21997.4i) q^{59} +(-19613.7 + 40574.7i) q^{60} +(-723.094 - 1252.43i) q^{61} +(2203.10 - 4161.03i) q^{62} +(-78008.1 + 45038.0i) q^{63} +(31978.5 - 7149.83i) q^{64} -18021.8i q^{65} +(85134.1 - 53405.6i) q^{66} +(-15120.0 - 26188.5i) q^{67} +(-22962.2 + 1686.65i) q^{68} -59858.6i q^{69} +(-29020.7 + 18205.0i) q^{70} +(35077.6 - 60756.3i) q^{71} +(-73616.6 - 100211. i) q^{72} +(-1422.59 + 2464.00i) q^{73} +(44087.6 + 23342.7i) q^{74} -30254.1 q^{75} +(39263.4 + 31526.3i) q^{76} +76395.6 q^{77} +(59490.7 + 31498.0i) q^{78} +(22576.6 - 39103.8i) q^{79} +(-29376.4 - 37061.0i) q^{80} +(-122942. + 212942. i) q^{81} +(2117.87 - 1328.56i) q^{82} -27203.9i q^{83} +(-9373.90 - 127617. i) q^{84} +(16614.4 + 28777.0i) q^{85} +(17795.1 - 11163.1i) q^{86} +212048. i q^{87} +(11575.4 + 104823. i) q^{88} +(78511.2 - 45328.5i) q^{89} +(-83972.3 + 158599. i) q^{90} +(25585.2 + 44314.8i) q^{91} +(56552.9 + 27337.5i) q^{92} +(12690.5 - 21980.6i) q^{93} +(577.793 + 15753.4i) q^{94} +(16302.6 - 70819.9i) q^{95} +(173684. - 32198.4i) q^{96} +(-108602. - 62701.6i) q^{97} +(1027.85 - 1941.32i) q^{98} +(346575. - 200095. i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.64697 + 4.99936i −0.467922 + 0.883770i
\(3\) −15.2473 + 26.4090i −0.978112 + 1.69414i −0.308856 + 0.951109i \(0.599946\pi\)
−0.669256 + 0.743032i \(0.733387\pi\)
\(4\) −17.9871 26.4663i −0.562098 0.827071i
\(5\) −23.0916 + 39.9958i −0.413075 + 0.715467i −0.995224 0.0976153i \(-0.968879\pi\)
0.582149 + 0.813082i \(0.302212\pi\)
\(6\) −91.6692 146.130i −1.03955 1.65715i
\(7\) 131.131i 1.01149i −0.862684 0.505743i \(-0.831218\pi\)
0.862684 0.505743i \(-0.168782\pi\)
\(8\) 179.926 19.8689i 0.993958 0.109761i
\(9\) −343.458 594.887i −1.41341 2.44809i
\(10\) −138.831 221.311i −0.439021 0.699846i
\(11\) 582.590i 1.45171i 0.687845 + 0.725857i \(0.258557\pi\)
−0.687845 + 0.725857i \(0.741443\pi\)
\(12\) 973.203 71.4851i 1.95097 0.143305i
\(13\) −337.943 + 195.112i −0.554607 + 0.320203i −0.750978 0.660327i \(-0.770418\pi\)
0.196371 + 0.980530i \(0.437084\pi\)
\(14\) 655.570 + 347.099i 0.893921 + 0.473297i
\(15\) −704.167 1219.65i −0.808067 1.39961i
\(16\) −376.925 + 952.105i −0.368091 + 0.929790i
\(17\) 359.750 623.106i 0.301911 0.522925i −0.674658 0.738131i \(-0.735709\pi\)
0.976569 + 0.215205i \(0.0690421\pi\)
\(18\) 3883.17 142.424i 2.82492 0.103610i
\(19\) −1504.51 + 461.024i −0.956118 + 0.292981i
\(20\) 1473.89 108.262i 0.823930 0.0605204i
\(21\) 3463.04 + 1999.39i 1.71360 + 0.989347i
\(22\) −2912.58 1542.10i −1.28298 0.679289i
\(23\) −1699.95 + 981.465i −0.670063 + 0.386861i −0.796101 0.605164i \(-0.793107\pi\)
0.126038 + 0.992025i \(0.459774\pi\)
\(24\) −2218.66 + 5054.61i −0.786252 + 1.79126i
\(25\) 496.058 + 859.197i 0.158738 + 0.274943i
\(26\) −80.9084 2205.95i −0.0234726 0.639975i
\(27\) 13537.0 3.57366
\(28\) −3470.54 + 2358.67i −0.836570 + 0.568555i
\(29\) 6022.02 3476.82i 1.32968 0.767692i 0.344431 0.938812i \(-0.388072\pi\)
0.985250 + 0.171120i \(0.0547387\pi\)
\(30\) 7961.39 292.002i 1.61505 0.0592356i
\(31\) −832.313 −0.155554 −0.0777772 0.996971i \(-0.524782\pi\)
−0.0777772 + 0.996971i \(0.524782\pi\)
\(32\) −3762.20 4404.57i −0.649482 0.760377i
\(33\) −15385.6 8882.90i −2.45941 1.41994i
\(34\) 2162.88 + 3447.86i 0.320875 + 0.511508i
\(35\) 5244.68 + 3028.02i 0.723685 + 0.417819i
\(36\) −9566.60 + 19790.4i −1.23027 + 2.54506i
\(37\) 8818.65i 1.05900i −0.848308 0.529502i \(-0.822379\pi\)
0.848308 0.529502i \(-0.177621\pi\)
\(38\) 1677.57 8741.91i 0.188461 0.982081i
\(39\) 11899.7i 1.25278i
\(40\) −3360.10 + 7655.07i −0.332049 + 0.756483i
\(41\) −382.746 220.979i −0.0355591 0.0205301i 0.482115 0.876108i \(-0.339869\pi\)
−0.517674 + 0.855578i \(0.673202\pi\)
\(42\) −19162.2 + 12020.7i −1.67619 + 1.05149i
\(43\) −3215.97 1856.74i −0.265241 0.153137i 0.361482 0.932379i \(-0.382271\pi\)
−0.626723 + 0.779242i \(0.715604\pi\)
\(44\) 15419.0 10479.1i 1.20067 0.816006i
\(45\) 31724.0 2.33537
\(46\) −406.991 11096.5i −0.0283590 0.773202i
\(47\) 2413.36 1393.36i 0.159360 0.0920063i −0.418199 0.908355i \(-0.637339\pi\)
0.577559 + 0.816349i \(0.304005\pi\)
\(48\) −19397.1 24471.2i −1.21516 1.53304i
\(49\) −388.314 −0.0231043
\(50\) −5608.48 + 205.704i −0.317263 + 0.0116364i
\(51\) 10970.4 + 19001.3i 0.590606 + 1.02296i
\(52\) 11242.5 + 5434.59i 0.576574 + 0.278714i
\(53\) −16126.4 + 9310.55i −0.788581 + 0.455288i −0.839463 0.543417i \(-0.817130\pi\)
0.0508816 + 0.998705i \(0.483797\pi\)
\(54\) −35832.0 + 67676.4i −1.67219 + 3.15829i
\(55\) −23301.2 13452.9i −1.03865 0.599667i
\(56\) −2605.42 23593.8i −0.111022 1.00537i
\(57\) 10764.5 46762.1i 0.438841 1.90637i
\(58\) 1441.76 + 39309.3i 0.0562759 + 1.53435i
\(59\) −12700.2 + 21997.4i −0.474987 + 0.822701i −0.999590 0.0286459i \(-0.990880\pi\)
0.524603 + 0.851347i \(0.324214\pi\)
\(60\) −19613.7 + 40574.7i −0.703366 + 1.45505i
\(61\) −723.094 1252.43i −0.0248811 0.0430954i 0.853317 0.521393i \(-0.174587\pi\)
−0.878198 + 0.478298i \(0.841254\pi\)
\(62\) 2203.10 4161.03i 0.0727873 0.137474i
\(63\) −78008.1 + 45038.0i −2.47621 + 1.42964i
\(64\) 31978.5 7149.83i 0.975905 0.218196i
\(65\) 18021.8i 0.529071i
\(66\) 85134.1 53405.6i 2.40571 1.50913i
\(67\) −15120.0 26188.5i −0.411494 0.712729i 0.583559 0.812071i \(-0.301660\pi\)
−0.995053 + 0.0993418i \(0.968326\pi\)
\(68\) −22962.2 + 1686.65i −0.602200 + 0.0442336i
\(69\) 59858.6i 1.51357i
\(70\) −29020.7 + 18205.0i −0.707884 + 0.444064i
\(71\) 35077.6 60756.3i 0.825819 1.43036i −0.0754736 0.997148i \(-0.524047\pi\)
0.901292 0.433212i \(-0.142620\pi\)
\(72\) −73616.6 100211.i −1.67357 2.27817i
\(73\) −1422.59 + 2464.00i −0.0312445 + 0.0541171i −0.881225 0.472697i \(-0.843280\pi\)
0.849980 + 0.526814i \(0.176614\pi\)
\(74\) 44087.6 + 23342.7i 0.935916 + 0.495531i
\(75\) −30254.1 −0.621056
\(76\) 39263.4 + 31526.3i 0.779748 + 0.626093i
\(77\) 76395.6 1.46839
\(78\) 59490.7 + 31498.0i 1.10717 + 0.586202i
\(79\) 22576.6 39103.8i 0.406997 0.704939i −0.587555 0.809184i \(-0.699909\pi\)
0.994552 + 0.104245i \(0.0332427\pi\)
\(80\) −29376.4 37061.0i −0.513184 0.647430i
\(81\) −122942. + 212942.i −2.08204 + 3.60619i
\(82\) 2117.87 1328.56i 0.0347828 0.0218196i
\(83\) 27203.9i 0.433447i −0.976233 0.216723i \(-0.930463\pi\)
0.976233 0.216723i \(-0.0695370\pi\)
\(84\) −9373.90 127617.i −0.144951 1.97338i
\(85\) 16614.4 + 28777.0i 0.249424 + 0.432015i
\(86\) 17795.1 11163.1i 0.259450 0.162756i
\(87\) 212048.i 3.00355i
\(88\) 11575.4 + 104823.i 0.159342 + 1.44294i
\(89\) 78511.2 45328.5i 1.05065 0.606591i 0.127816 0.991798i \(-0.459203\pi\)
0.922830 + 0.385207i \(0.125870\pi\)
\(90\) −83972.3 + 158599.i −1.09277 + 2.06393i
\(91\) 25585.2 + 44314.8i 0.323881 + 0.560978i
\(92\) 56552.9 + 27337.5i 0.696603 + 0.336735i
\(93\) 12690.5 21980.6i 0.152150 0.263531i
\(94\) 577.793 + 15753.4i 0.00674455 + 0.183889i
\(95\) 16302.6 70819.9i 0.185330 0.805094i
\(96\) 173684. 32198.4i 1.92345 0.356580i
\(97\) −108602. 62701.6i −1.17195 0.676627i −0.217813 0.975990i \(-0.569892\pi\)
−0.954139 + 0.299363i \(0.903226\pi\)
\(98\) 1027.85 1941.32i 0.0108110 0.0204189i
\(99\) 346575. 200095.i 3.55393 2.05187i
\(100\) 13817.1 28583.3i 0.138171 0.285833i
\(101\) 18616.4 + 32244.5i 0.181590 + 0.314523i 0.942422 0.334426i \(-0.108542\pi\)
−0.760832 + 0.648949i \(0.775209\pi\)
\(102\) −124033. + 4549.18i −1.18042 + 0.0432945i
\(103\) 86169.6 0.800315 0.400158 0.916446i \(-0.368955\pi\)
0.400158 + 0.916446i \(0.368955\pi\)
\(104\) −56928.0 + 41820.1i −0.516111 + 0.379142i
\(105\) −159934. + 92338.0i −1.41569 + 0.817349i
\(106\) −3860.88 105266.i −0.0333750 0.909963i
\(107\) −201312. −1.69985 −0.849923 0.526907i \(-0.823351\pi\)
−0.849923 + 0.526907i \(0.823351\pi\)
\(108\) −243492. 358274.i −2.00875 2.95567i
\(109\) 33564.3 + 19378.3i 0.270590 + 0.156225i 0.629156 0.777279i \(-0.283401\pi\)
−0.358566 + 0.933504i \(0.616734\pi\)
\(110\) 128933. 80881.3i 1.01598 0.637333i
\(111\) 232892. + 134460.i 1.79410 + 1.03583i
\(112\) 124850. + 49426.6i 0.940469 + 0.372319i
\(113\) 12419.4i 0.0914964i −0.998953 0.0457482i \(-0.985433\pi\)
0.998953 0.0457482i \(-0.0145672\pi\)
\(114\) 205287. + 177593.i 1.47945 + 1.27986i
\(115\) 90654.3i 0.639210i
\(116\) −200337. 96842.4i −1.38235 0.668222i
\(117\) 232139. + 134025.i 1.56777 + 0.905154i
\(118\) −76356.0 121719.i −0.504822 0.804739i
\(119\) −81708.5 47174.4i −0.528932 0.305379i
\(120\) −150931. 205456.i −0.956808 1.30246i
\(121\) −178360. −1.10748
\(122\) 8175.37 299.851i 0.0497288 0.00182392i
\(123\) 11671.7 6738.64i 0.0695617 0.0401615i
\(124\) 14970.9 + 22028.2i 0.0874368 + 0.128654i
\(125\) −190141. −1.08843
\(126\) −18676.2 509204.i −0.104800 2.85736i
\(127\) −23355.0 40452.0i −0.128490 0.222552i 0.794602 0.607131i \(-0.207680\pi\)
−0.923092 + 0.384579i \(0.874346\pi\)
\(128\) −48901.3 + 178797.i −0.263813 + 0.964574i
\(129\) 98069.5 56620.5i 0.518871 0.299571i
\(130\) 90097.2 + 47703.0i 0.467577 + 0.247564i
\(131\) −251100. 144973.i −1.27841 0.738089i −0.301852 0.953355i \(-0.597605\pi\)
−0.976555 + 0.215266i \(0.930938\pi\)
\(132\) 41646.5 + 566978.i 0.208038 + 2.83225i
\(133\) 60454.4 + 197288.i 0.296346 + 0.967100i
\(134\) 170948. 6269.91i 0.822435 0.0301647i
\(135\) −312591. + 541424.i −1.47619 + 2.55684i
\(136\) 52347.9 119261.i 0.242690 0.552904i
\(137\) −27539.2 47699.3i −0.125357 0.217125i 0.796515 0.604618i \(-0.206674\pi\)
−0.921873 + 0.387493i \(0.873341\pi\)
\(138\) 299254. + 158444.i 1.33765 + 0.708235i
\(139\) −294762. + 170181.i −1.29400 + 0.747091i −0.979361 0.202120i \(-0.935217\pi\)
−0.314639 + 0.949211i \(0.601883\pi\)
\(140\) −14196.5 193273.i −0.0612156 0.833394i
\(141\) 84979.5i 0.359970i
\(142\) 210893. + 336185.i 0.877690 + 1.39913i
\(143\) −113670. 196882.i −0.464843 0.805132i
\(144\) 695853. 102780.i 2.79648 0.413050i
\(145\) 321141.i 1.26846i
\(146\) −8552.88 13634.2i −0.0332070 0.0529355i
\(147\) 5920.73 10255.0i 0.0225986 0.0391420i
\(148\) −233397. + 158622.i −0.875871 + 0.595265i
\(149\) 110322. 191083.i 0.407094 0.705108i −0.587468 0.809247i \(-0.699875\pi\)
0.994563 + 0.104139i \(0.0332087\pi\)
\(150\) 80081.5 151251.i 0.290606 0.548871i
\(151\) −253824. −0.905922 −0.452961 0.891530i \(-0.649632\pi\)
−0.452961 + 0.891530i \(0.649632\pi\)
\(152\) −261540. + 112843.i −0.918184 + 0.396155i
\(153\) −494237. −1.70689
\(154\) −202216. + 381929.i −0.687092 + 1.29772i
\(155\) 19219.4 33289.0i 0.0642556 0.111294i
\(156\) −314940. + 214041.i −1.03613 + 0.704184i
\(157\) 72848.3 126177.i 0.235869 0.408536i −0.723656 0.690161i \(-0.757540\pi\)
0.959525 + 0.281624i \(0.0908732\pi\)
\(158\) 135734. + 216375.i 0.432561 + 0.689548i
\(159\) 567842.i 1.78129i
\(160\) 263040. 48763.7i 0.812309 0.150590i
\(161\) 128700. + 222916.i 0.391305 + 0.677759i
\(162\) −739150. 1.17828e6i −2.21281 3.52746i
\(163\) 29826.3i 0.0879287i −0.999033 0.0439644i \(-0.986001\pi\)
0.999033 0.0439644i \(-0.0139988\pi\)
\(164\) 1036.03 + 14104.6i 0.00300790 + 0.0409498i
\(165\) 710558. 410241.i 2.03184 1.17308i
\(166\) 136002. + 72007.8i 0.383067 + 0.202819i
\(167\) 51418.0 + 89058.6i 0.142667 + 0.247107i 0.928500 0.371332i \(-0.121099\pi\)
−0.785833 + 0.618439i \(0.787765\pi\)
\(168\) 662815. + 290934.i 1.81184 + 0.795283i
\(169\) −109509. + 189676.i −0.294940 + 0.510852i
\(170\) −187844. + 6889.62i −0.498512 + 0.0182841i
\(171\) 790994. + 736672.i 2.06863 + 1.92657i
\(172\) 8705.12 + 118512.i 0.0224364 + 0.305451i
\(173\) 253129. + 146144.i 0.643023 + 0.371249i 0.785778 0.618509i \(-0.212263\pi\)
−0.142755 + 0.989758i \(0.545596\pi\)
\(174\) −1.06010e6 561283.i −2.65445 1.40543i
\(175\) 112667. 65048.5i 0.278101 0.160562i
\(176\) −554687. 219593.i −1.34979 0.534364i
\(177\) −387287. 670802.i −0.929181 1.60939i
\(178\) 18796.7 + 512489.i 0.0444663 + 1.21237i
\(179\) −344024. −0.802521 −0.401260 0.915964i \(-0.631428\pi\)
−0.401260 + 0.915964i \(0.631428\pi\)
\(180\) −570623. 839615.i −1.31271 1.93152i
\(181\) −189678. + 109511.i −0.430349 + 0.248462i −0.699495 0.714637i \(-0.746592\pi\)
0.269146 + 0.963099i \(0.413258\pi\)
\(182\) −289269. + 10609.6i −0.647326 + 0.0237422i
\(183\) 44100.8 0.0973461
\(184\) −286363. + 210367.i −0.623552 + 0.458070i
\(185\) 352709. + 203637.i 0.757682 + 0.437448i
\(186\) 76297.4 + 121626.i 0.161707 + 0.257777i
\(187\) 363015. + 209587.i 0.759138 + 0.438289i
\(188\) −80286.4 38810.2i −0.165671 0.0800850i
\(189\) 1.77512e6i 3.61471i
\(190\) 310902. + 268960.i 0.624797 + 0.540510i
\(191\) 838215.i 1.66254i −0.555869 0.831270i \(-0.687614\pi\)
0.555869 0.831270i \(-0.312386\pi\)
\(192\) −298764. + 953536.i −0.584891 + 1.86674i
\(193\) −392762. 226761.i −0.758990 0.438203i 0.0699428 0.997551i \(-0.477718\pi\)
−0.828933 + 0.559348i \(0.811052\pi\)
\(194\) 600934. 376973.i 1.14636 0.719128i
\(195\) 475937. + 274782.i 0.896320 + 0.517491i
\(196\) 6984.66 + 10277.2i 0.0129869 + 0.0191089i
\(197\) −867194. −1.59203 −0.796014 0.605279i \(-0.793062\pi\)
−0.796014 + 0.605279i \(0.793062\pi\)
\(198\) 82975.0 + 2.26230e6i 0.150413 + 4.10097i
\(199\) 180858. 104419.i 0.323747 0.186915i −0.329315 0.944220i \(-0.606818\pi\)
0.653061 + 0.757305i \(0.273484\pi\)
\(200\) 106325. + 144735.i 0.187957 + 0.255859i
\(201\) 922152. 1.60995
\(202\) −210479. + 7719.79i −0.362936 + 0.0133115i
\(203\) −455918. 789673.i −0.776509 1.34495i
\(204\) 305567. 632125.i 0.514081 1.06348i
\(205\) 17676.4 10205.5i 0.0293772 0.0169609i
\(206\) −228088. + 430793.i −0.374485 + 0.707294i
\(207\) 1.16772e6 + 674184.i 1.89414 + 1.09358i
\(208\) −58387.3 395300.i −0.0935750 0.633532i
\(209\) −268588. 876514.i −0.425325 1.38801i
\(210\) −38290.5 1.04398e6i −0.0599160 1.63360i
\(211\) 313097. 542300.i 0.484142 0.838559i −0.515692 0.856774i \(-0.672465\pi\)
0.999834 + 0.0182151i \(0.00579836\pi\)
\(212\) 536482. + 259334.i 0.819815 + 0.396296i
\(213\) 1.06968e6 + 1.85273e6i 1.61549 + 2.79811i
\(214\) 532865. 1.00643e6i 0.795395 1.50227i
\(215\) 148524. 85750.2i 0.219129 0.126514i
\(216\) 2.43566e6 268965.i 3.55207 0.392249i
\(217\) 109142.i 0.157341i
\(218\) −185723. + 116506.i −0.264682 + 0.166038i
\(219\) −43381.3 75138.6i −0.0611213 0.105865i
\(220\) 63072.5 + 858674.i 0.0878584 + 1.19611i
\(221\) 280766.i 0.386691i
\(222\) −1.28867e6 + 808399.i −1.75493 + 1.10089i
\(223\) −506840. + 877873.i −0.682509 + 1.18214i 0.291703 + 0.956509i \(0.405778\pi\)
−0.974213 + 0.225632i \(0.927555\pi\)
\(224\) −577576. + 493341.i −0.769111 + 0.656942i
\(225\) 340750. 590196.i 0.448724 0.777213i
\(226\) 62088.9 + 32873.7i 0.0808617 + 0.0428132i
\(227\) 768992. 0.990506 0.495253 0.868749i \(-0.335075\pi\)
0.495253 + 0.868749i \(0.335075\pi\)
\(228\) −1.43124e6 + 556220.i −1.82337 + 0.708613i
\(229\) −275257. −0.346857 −0.173428 0.984846i \(-0.555485\pi\)
−0.173428 + 0.984846i \(0.555485\pi\)
\(230\) 453213. + 239959.i 0.564915 + 0.299100i
\(231\) −1.16482e6 + 2.01753e6i −1.43625 + 2.48766i
\(232\) 1.01444e6 745219.i 1.23738 0.909000i
\(233\) −218771. + 378922.i −0.263997 + 0.457257i −0.967300 0.253633i \(-0.918374\pi\)
0.703303 + 0.710890i \(0.251708\pi\)
\(234\) −1.28450e6 + 805784.i −1.53354 + 0.962009i
\(235\) 128699.i 0.152022i
\(236\) 810631. 59543.6i 0.947421 0.0695913i
\(237\) 688463. + 1.19245e6i 0.796177 + 1.37902i
\(238\) 452121. 283621.i 0.517383 0.324560i
\(239\) 743067.i 0.841459i 0.907186 + 0.420730i \(0.138226\pi\)
−0.907186 + 0.420730i \(0.861774\pi\)
\(240\) 1.42666e6 210722.i 1.59879 0.236147i
\(241\) 544167. 314175.i 0.603518 0.348441i −0.166907 0.985973i \(-0.553378\pi\)
0.770424 + 0.637532i \(0.220044\pi\)
\(242\) 472113. 891686.i 0.518212 0.978754i
\(243\) −2.10431e6 3.64478e6i −2.28610 3.95964i
\(244\) −20140.9 + 41665.3i −0.0216573 + 0.0448023i
\(245\) 8966.79 15530.9i 0.00954381 0.0165304i
\(246\) 2794.36 + 76187.8i 0.00294405 + 0.0802689i
\(247\) 418489. 449348.i 0.436457 0.468641i
\(248\) −149754. + 16537.1i −0.154615 + 0.0170738i
\(249\) 718428. + 414785.i 0.734320 + 0.423960i
\(250\) 503298. 950585.i 0.509302 0.961924i
\(251\) 412555. 238189.i 0.413330 0.238636i −0.278889 0.960323i \(-0.589966\pi\)
0.692220 + 0.721687i \(0.256633\pi\)
\(252\) 2.59513e6 + 1.25448e6i 2.57429 + 1.24440i
\(253\) −571791. 990372.i −0.561612 0.972740i
\(254\) 264054. 9684.79i 0.256808 0.00941902i
\(255\) −1.01330e6 −0.975858
\(256\) −764430. 717745.i −0.729018 0.684495i
\(257\) 181278. 104661.i 0.171204 0.0988444i −0.411950 0.911207i \(-0.635152\pi\)
0.583153 + 0.812362i \(0.301819\pi\)
\(258\) 23479.2 + 640157.i 0.0219601 + 0.598739i
\(259\) −1.15640e6 −1.07117
\(260\) −476968. + 324160.i −0.437579 + 0.297390i
\(261\) −4.13663e6 2.38828e6i −3.75876 2.17012i
\(262\) 1.38943e6 871603.i 1.25050 0.784450i
\(263\) −1.17307e6 677273.i −1.04577 0.603774i −0.124305 0.992244i \(-0.539670\pi\)
−0.921461 + 0.388470i \(0.873004\pi\)
\(264\) −2.94476e6 1.29257e6i −2.60040 1.14141i
\(265\) 859982.i 0.752271i
\(266\) −1.14633e6 219981.i −0.993361 0.190626i
\(267\) 2.76454e6i 2.37326i
\(268\) −421148. + 871226.i −0.358177 + 0.740958i
\(269\) 1.36741e6 + 789475.i 1.15217 + 0.665208i 0.949416 0.314021i \(-0.101676\pi\)
0.202758 + 0.979229i \(0.435010\pi\)
\(270\) −1.87935e6 2.99588e6i −1.56891 2.50101i
\(271\) 1.62367e6 + 937425.i 1.34299 + 0.775377i 0.987246 0.159205i \(-0.0508929\pi\)
0.355748 + 0.934582i \(0.384226\pi\)
\(272\) 457663. + 577385.i 0.375080 + 0.473198i
\(273\) −1.56042e6 −1.26717
\(274\) 311361. 11419.9i 0.250546 0.00918936i
\(275\) −500560. + 288998.i −0.399139 + 0.230443i
\(276\) −1.58423e6 + 1.07668e6i −1.25183 + 0.850777i
\(277\) −1.32604e6 −1.03838 −0.519189 0.854659i \(-0.673766\pi\)
−0.519189 + 0.854659i \(0.673766\pi\)
\(278\) −70570.1 1.92408e6i −0.0547657 1.49318i
\(279\) 285865. + 495132.i 0.219862 + 0.380812i
\(280\) 1.00382e6 + 440613.i 0.765172 + 0.335863i
\(281\) 1.66523e6 961423.i 1.25808 0.726355i 0.285382 0.958414i \(-0.407880\pi\)
0.972702 + 0.232059i \(0.0745463\pi\)
\(282\) −424843. 224938.i −0.318131 0.168438i
\(283\) −10015.8 5782.60i −0.00743392 0.00429198i 0.496278 0.868163i \(-0.334700\pi\)
−0.503712 + 0.863871i \(0.668033\pi\)
\(284\) −2.23894e6 + 164458.i −1.64720 + 0.120992i
\(285\) 1.62172e6 + 1.51034e6i 1.18267 + 1.10145i
\(286\) 1.28517e6 47136.4i 0.929061 0.0340755i
\(287\) −28977.1 + 50189.9i −0.0207659 + 0.0359676i
\(288\) −1.32806e6 + 3.75087e6i −0.943491 + 2.66472i
\(289\) 451088. + 781307.i 0.317699 + 0.550272i
\(290\) −1.60550e6 850049.i −1.12102 0.593538i
\(291\) 3.31178e6 1.91206e6i 2.29260 1.32363i
\(292\) 90801.4 6669.67i 0.0623211 0.00457770i
\(293\) 856282.i 0.582704i −0.956616 0.291352i \(-0.905895\pi\)
0.956616 0.291352i \(-0.0941050\pi\)
\(294\) 35596.5 + 56744.5i 0.0240181 + 0.0382874i
\(295\) −586537. 1.01591e6i −0.392410 0.679674i
\(296\) −175217. 1.58670e6i −0.116237 1.05261i
\(297\) 7.88653e6i 5.18794i
\(298\) 663273. + 1.05733e6i 0.432665 + 0.689713i
\(299\) 382990. 663359.i 0.247748 0.429112i
\(300\) 544184. + 800712.i 0.349094 + 0.513657i
\(301\) −243476. + 421713.i −0.154896 + 0.268288i
\(302\) 671864. 1.26896e6i 0.423901 0.800626i
\(303\) −1.13539e6 −0.710461
\(304\) 128146. 1.60622e6i 0.0795283 0.996833i
\(305\) 66789.5 0.0411111
\(306\) 1.30823e6 2.47087e6i 0.798693 1.50850i
\(307\) 824045. 1.42729e6i 0.499005 0.864302i −0.500995 0.865450i \(-0.667032\pi\)
0.999999 + 0.00114875i \(0.000365658\pi\)
\(308\) −1.37414e6 2.02190e6i −0.825379 1.21446i
\(309\) −1.31385e6 + 2.27566e6i −0.782798 + 1.35585i
\(310\) 115550. + 184200.i 0.0682916 + 0.108864i
\(311\) 2.62707e6i 1.54018i 0.637938 + 0.770088i \(0.279788\pi\)
−0.637938 + 0.770088i \(0.720212\pi\)
\(312\) −236433. 2.14106e6i −0.137506 1.24521i
\(313\) 133037. + 230427.i 0.0767558 + 0.132945i 0.901848 0.432052i \(-0.142210\pi\)
−0.825093 + 0.564997i \(0.808877\pi\)
\(314\) 437977. + 698181.i 0.250684 + 0.399617i
\(315\) 4.15999e6i 2.36220i
\(316\) −1.44102e6 + 105848.i −0.811806 + 0.0596299i
\(317\) −174771. + 100904.i −0.0976837 + 0.0563977i −0.548046 0.836448i \(-0.684628\pi\)
0.450362 + 0.892846i \(0.351295\pi\)
\(318\) 2.83884e6 + 1.50306e6i 1.57425 + 0.833505i
\(319\) 2.02556e6 + 3.50837e6i 1.11447 + 1.93032i
\(320\) −452470. + 1.44410e6i −0.247010 + 0.788359i
\(321\) 3.06945e6 5.31645e6i 1.66264 2.87978i
\(322\) −1.45510e6 + 53369.1i −0.782083 + 0.0286847i
\(323\) −253982. + 1.10332e6i −0.135456 + 0.588433i
\(324\) 7.84716e6 576400.i 4.15288 0.305043i
\(325\) −335279. 193573.i −0.176075 0.101657i
\(326\) 149112. + 78949.3i 0.0777088 + 0.0411438i
\(327\) −1.02353e6 + 590933.i −0.529334 + 0.305611i
\(328\) −73256.4 32155.0i −0.0375977 0.0165030i
\(329\) −182712. 316467.i −0.0930631 0.161190i
\(330\) 170118. + 4.63822e6i 0.0859932 + 2.34459i
\(331\) −516228. −0.258983 −0.129492 0.991581i \(-0.541335\pi\)
−0.129492 + 0.991581i \(0.541335\pi\)
\(332\) −719985. + 489320.i −0.358491 + 0.243640i
\(333\) −5.24610e6 + 3.02884e6i −2.59254 + 1.49681i
\(334\) −581337. + 21321.9i −0.285143 + 0.0104583i
\(335\) 1.39658e6 0.679912
\(336\) −3.20893e6 + 2.54356e6i −1.55065 + 1.22912i
\(337\) −2.88299e6 1.66450e6i −1.38283 0.798377i −0.390336 0.920672i \(-0.627641\pi\)
−0.992494 + 0.122295i \(0.960974\pi\)
\(338\) −658389. 1.04954e6i −0.313466 0.499698i
\(339\) 327984. + 189362.i 0.155008 + 0.0894937i
\(340\) 462774. 957338.i 0.217106 0.449126i
\(341\) 484897.i 0.225821i
\(342\) −5.77662e6 + 2.00451e6i −2.67060 + 0.926710i
\(343\) 2.15300e6i 0.988116i
\(344\) −615527. 270178.i −0.280447 0.123099i
\(345\) 2.39409e6 + 1.38223e6i 1.08291 + 0.625219i
\(346\) −1.40065e6 + 878643.i −0.628983 + 0.394568i
\(347\) −298359. 172258.i −0.133020 0.0767989i 0.432014 0.901867i \(-0.357803\pi\)
−0.565033 + 0.825068i \(0.691137\pi\)
\(348\) 5.61211e6 3.81413e6i 2.48415 1.68829i
\(349\) −1.80425e6 −0.792926 −0.396463 0.918051i \(-0.629763\pi\)
−0.396463 + 0.918051i \(0.629763\pi\)
\(350\) 26974.1 + 735445.i 0.0117700 + 0.320908i
\(351\) −4.57475e6 + 2.64123e6i −1.98198 + 1.14430i
\(352\) 2.56606e6 2.19182e6i 1.10385 0.942863i
\(353\) 2.43165e6 1.03864 0.519319 0.854581i \(-0.326186\pi\)
0.519319 + 0.854581i \(0.326186\pi\)
\(354\) 4.37871e6 160599.i 1.85711 0.0681139i
\(355\) 1.62000e6 + 2.80592e6i 0.682250 + 1.18169i
\(356\) −2.61187e6 1.26257e6i −1.09226 0.527995i
\(357\) 2.49166e6 1.43856e6i 1.03471 0.597390i
\(358\) 910620. 1.71990e6i 0.375517 0.709244i
\(359\) −3.52576e6 2.03560e6i −1.44383 0.833597i −0.445730 0.895167i \(-0.647056\pi\)
−0.998103 + 0.0615701i \(0.980389\pi\)
\(360\) 5.70795e6 630319.i 2.32126 0.256333i
\(361\) 2.05101e6 1.38723e6i 0.828325 0.560249i
\(362\) −45411.6 1.23814e6i −0.0182136 0.496590i
\(363\) 2.71950e6 4.71032e6i 1.08324 1.87622i
\(364\) 712643. 1.47424e6i 0.281915 0.583197i
\(365\) −65699.9 113796.i −0.0258126 0.0447088i
\(366\) −116733. + 220476.i −0.0455504 + 0.0860316i
\(367\) −2.59089e6 + 1.49585e6i −1.00411 + 0.579726i −0.909463 0.415785i \(-0.863507\pi\)
−0.0946516 + 0.995510i \(0.530174\pi\)
\(368\) −293704. 1.98847e6i −0.113055 0.765418i
\(369\) 303588.i 0.116070i
\(370\) −1.95166e6 + 1.22430e6i −0.741140 + 0.464925i
\(371\) 1.22090e6 + 2.11466e6i 0.460517 + 0.797639i
\(372\) −810009. + 59497.9i −0.303482 + 0.0222918i
\(373\) 3.11056e6i 1.15762i −0.815462 0.578810i \(-0.803517\pi\)
0.815462 0.578810i \(-0.196483\pi\)
\(374\) −2.00869e6 + 1.26007e6i −0.742564 + 0.465819i
\(375\) 2.89914e6 5.02145e6i 1.06461 1.84396i
\(376\) 406542. 298651.i 0.148298 0.108942i
\(377\) −1.35674e6 + 2.34993e6i −0.491634 + 0.851535i
\(378\) 8.87446e6 + 4.69869e6i 3.19457 + 1.69140i
\(379\) 1.30480e6 0.466600 0.233300 0.972405i \(-0.425048\pi\)
0.233300 + 0.972405i \(0.425048\pi\)
\(380\) −2.16757e6 + 842380.i −0.770043 + 0.299260i
\(381\) 1.42440e6 0.502712
\(382\) 4.19054e6 + 2.21873e6i 1.46930 + 0.777939i
\(383\) −319104. + 552705.i −0.111157 + 0.192529i −0.916237 0.400637i \(-0.868789\pi\)
0.805080 + 0.593166i \(0.202122\pi\)
\(384\) −3.97625e6 4.01760e6i −1.37609 1.39040i
\(385\) −1.76409e6 + 3.05550e6i −0.606555 + 1.05058i
\(386\) 2.17329e6 1.36333e6i 0.742419 0.465728i
\(387\) 2.55085e6i 0.865781i
\(388\) 293969. + 4.00212e6i 0.0991340 + 1.34962i
\(389\) 998872. + 1.73010e6i 0.334685 + 0.579691i 0.983424 0.181319i \(-0.0580368\pi\)
−0.648739 + 0.761011i \(0.724703\pi\)
\(390\) −2.63353e6 + 1.65204e6i −0.876750 + 0.549995i
\(391\) 1.41233e6i 0.467191i
\(392\) −69867.7 + 7715.36i −0.0229647 + 0.00253595i
\(393\) 7.65719e6 4.42088e6i 2.50085 1.44387i
\(394\) 2.29543e6 4.33541e6i 0.744945 1.40699i
\(395\) 1.04266e6 + 1.80594e6i 0.336240 + 0.582385i
\(396\) −1.15297e7 5.57341e6i −3.69470 1.78601i
\(397\) −2.28705e6 + 3.96128e6i −0.728280 + 1.26142i 0.229329 + 0.973349i \(0.426347\pi\)
−0.957609 + 0.288070i \(0.906987\pi\)
\(398\) 43300.0 + 1.18057e6i 0.0137019 + 0.373579i
\(399\) −6.13195e6 1.41156e6i −1.92826 0.443881i
\(400\) −1.00502e6 + 148445.i −0.314069 + 0.0463892i
\(401\) 159817. + 92270.5i 0.0496321 + 0.0286551i 0.524611 0.851342i \(-0.324211\pi\)
−0.474979 + 0.879997i \(0.657544\pi\)
\(402\) −2.44091e6 + 4.61017e6i −0.753331 + 1.42283i
\(403\) 281275. 162394.i 0.0862716 0.0498089i
\(404\) 518536. 1.07269e6i 0.158061 0.326980i
\(405\) −5.67786e6 9.83434e6i −1.72007 2.97925i
\(406\) 5.15466e6 189059.i 1.55198 0.0569222i
\(407\) 5.13766e6 1.53737
\(408\) 2.35139e6 + 3.20086e6i 0.699319 + 0.951953i
\(409\) −4.30159e6 + 2.48353e6i −1.27151 + 0.734109i −0.975273 0.221005i \(-0.929066\pi\)
−0.296241 + 0.955113i \(0.595733\pi\)
\(410\) 4231.99 + 115384.i 0.00124333 + 0.0338990i
\(411\) 1.67959e6 0.490454
\(412\) −1.54994e6 2.28059e6i −0.449856 0.661917i
\(413\) 2.88454e6 + 1.66539e6i 0.832151 + 0.480442i
\(414\) −6.46140e6 + 4.05331e6i −1.85279 + 1.16228i
\(415\) 1.08804e6 + 628181.i 0.310117 + 0.179046i
\(416\) 2.13080e6 + 754447.i 0.603682 + 0.213745i
\(417\) 1.03792e7i 2.92296i
\(418\) 5.09295e6 + 977336.i 1.42570 + 0.273592i
\(419\) 1.35272e6i 0.376419i −0.982129 0.188210i \(-0.939732\pi\)
0.982129 0.188210i \(-0.0602684\pi\)
\(420\) 5.32060e6 + 2.57196e6i 1.47176 + 0.711445i
\(421\) −2.33622e6 1.34881e6i −0.642403 0.370892i 0.143136 0.989703i \(-0.454281\pi\)
−0.785540 + 0.618811i \(0.787615\pi\)
\(422\) 1.88239e6 + 3.00074e6i 0.514552 + 0.820251i
\(423\) −1.65778e6 957119.i −0.450480 0.260085i
\(424\) −2.71655e6 + 1.99562e6i −0.733844 + 0.539092i
\(425\) 713828. 0.191700
\(426\) −1.20939e7 + 443571.i −3.22880 + 0.118424i
\(427\) −164233. + 94819.9i −0.0435904 + 0.0251669i
\(428\) 3.62102e6 + 5.32797e6i 0.955480 + 1.40589i
\(429\) 6.93263e6 1.81867
\(430\) 35558.7 + 969501.i 0.00927416 + 0.252858i
\(431\) 2.40718e6 + 4.16936e6i 0.624188 + 1.08113i 0.988697 + 0.149925i \(0.0479034\pi\)
−0.364509 + 0.931200i \(0.618763\pi\)
\(432\) −5.10245e6 + 1.28887e7i −1.31543 + 3.32275i
\(433\) −4.90460e6 + 2.83167e6i −1.25714 + 0.725811i −0.972518 0.232828i \(-0.925202\pi\)
−0.284624 + 0.958639i \(0.591869\pi\)
\(434\) −545639. 288895.i −0.139053 0.0736234i
\(435\) −8.48102e6 4.89652e6i −2.14894 1.24069i
\(436\) −90853.2 1.23688e6i −0.0228888 0.311610i
\(437\) 2.10511e6 2.26034e6i 0.527317 0.566201i
\(438\) 490474. 17989.3i 0.122160 0.00448051i
\(439\) −742646. + 1.28630e6i −0.183916 + 0.318553i −0.943211 0.332195i \(-0.892211\pi\)
0.759294 + 0.650747i \(0.225544\pi\)
\(440\) −4.45977e6 1.95756e6i −1.09820 0.482040i
\(441\) 133370. + 231003.i 0.0326558 + 0.0565615i
\(442\) −1.40365e6 743178.i −0.341746 0.180941i
\(443\) 3.20059e6 1.84786e6i 0.774856 0.447364i −0.0597479 0.998213i \(-0.519030\pi\)
0.834604 + 0.550850i \(0.185696\pi\)
\(444\) −630402. 8.58234e6i −0.151761 2.06608i
\(445\) 4.18683e6i 1.00227i
\(446\) −3.04721e6 4.85757e6i −0.725379 1.15633i
\(447\) 3.36421e6 + 5.82698e6i 0.796368 + 1.37935i
\(448\) −937564. 4.19336e6i −0.220702 0.987114i
\(449\) 339420.i 0.0794550i −0.999211 0.0397275i \(-0.987351\pi\)
0.999211 0.0397275i \(-0.0126490\pi\)
\(450\) 2.04865e6 + 3.26576e6i 0.476910 + 0.760244i
\(451\) 128740. 222984.i 0.0298038 0.0516217i
\(452\) −328695. + 223389.i −0.0756740 + 0.0514299i
\(453\) 3.87013e6 6.70325e6i 0.886094 1.53476i
\(454\) −2.03549e6 + 3.84446e6i −0.463479 + 0.875379i
\(455\) −2.36321e6 −0.535148
\(456\) 1.00770e6 8.62757e6i 0.226944 1.94302i
\(457\) −1.13878e6 −0.255064 −0.127532 0.991834i \(-0.540706\pi\)
−0.127532 + 0.991834i \(0.540706\pi\)
\(458\) 728597. 1.37611e6i 0.162302 0.306541i
\(459\) 4.86995e6 8.43500e6i 1.07893 1.86876i
\(460\) −2.39928e6 + 1.63061e6i −0.528672 + 0.359299i
\(461\) −1.14484e6 + 1.98293e6i −0.250896 + 0.434565i −0.963773 0.266724i \(-0.914059\pi\)
0.712877 + 0.701290i \(0.247392\pi\)
\(462\) −7.00312e6 1.11637e7i −1.52646 2.43334i
\(463\) 2.33557e6i 0.506337i −0.967422 0.253169i \(-0.918527\pi\)
0.967422 0.253169i \(-0.0814728\pi\)
\(464\) 1.04044e6 + 7.04410e6i 0.224348 + 1.51890i
\(465\) 586087. + 1.01513e6i 0.125698 + 0.217716i
\(466\) −1.31529e6 2.09671e6i −0.280580 0.447273i
\(467\) 3.18675e6i 0.676170i 0.941116 + 0.338085i \(0.109779\pi\)
−0.941116 + 0.338085i \(0.890221\pi\)
\(468\) −628363. 8.55458e6i −0.132616 1.80544i
\(469\) −3.43413e6 + 1.98269e6i −0.720915 + 0.416221i
\(470\) −643413. 340662.i −0.134352 0.0711344i
\(471\) 2.22147e6 + 3.84771e6i 0.461412 + 0.799189i
\(472\) −1.84803e6 + 4.21024e6i −0.381816 + 0.869865i
\(473\) 1.08172e6 1.87359e6i 0.222311 0.385055i
\(474\) −7.78383e6 + 285490.i −1.59128 + 0.0583640i
\(475\) −1.14243e6 1.06398e6i −0.232326 0.216371i
\(476\) 221172. + 3.01105e6i 0.0447417 + 0.609117i
\(477\) 1.10775e7 + 6.39557e6i 2.22917 + 1.28701i
\(478\) −3.71486e6 1.96687e6i −0.743656 0.393737i
\(479\) 8.22679e6 4.74974e6i 1.63829 0.945869i 0.656872 0.754002i \(-0.271879\pi\)
0.981421 0.191867i \(-0.0614543\pi\)
\(480\) −2.72283e6 + 7.69014e6i −0.539409 + 1.52346i
\(481\) 1.72062e6 + 2.98021e6i 0.339096 + 0.587332i
\(482\) 130281. + 3.55210e6i 0.0255426 + 0.696414i
\(483\) −7.84931e6 −1.53096
\(484\) 3.20819e6 + 4.72053e6i 0.622510 + 0.915961i
\(485\) 5.01560e6 2.89576e6i 0.968208 0.558995i
\(486\) 2.37916e7 872612.i 4.56913 0.167583i
\(487\) −5.92368e6 −1.13180 −0.565899 0.824474i \(-0.691471\pi\)
−0.565899 + 0.824474i \(0.691471\pi\)
\(488\) −154988. 210978.i −0.0294610 0.0401040i
\(489\) 787685. + 454770.i 0.148964 + 0.0860042i
\(490\) 53909.9 + 85938.0i 0.0101433 + 0.0161694i
\(491\) −3.35422e6 1.93656e6i −0.627895 0.362515i 0.152041 0.988374i \(-0.451415\pi\)
−0.779936 + 0.625859i \(0.784749\pi\)
\(492\) −388286. 187696.i −0.0723168 0.0349577i
\(493\) 5.00314e6i 0.927098i
\(494\) 1.13872e6 + 3.28158e6i 0.209943 + 0.605015i
\(495\) 1.84821e7i 3.39030i
\(496\) 313720. 792449.i 0.0572582 0.144633i
\(497\) −7.96702e6 4.59976e6i −1.44679 0.835304i
\(498\) −3.97531e6 + 2.49376e6i −0.718287 + 0.450590i
\(499\) −1.40688e6 812264.i −0.252934 0.146031i 0.368173 0.929757i \(-0.379983\pi\)
−0.621107 + 0.783726i \(0.713317\pi\)
\(500\) 3.42010e6 + 5.03233e6i 0.611806 + 0.900211i
\(501\) −3.13594e6 −0.558178
\(502\) 98771.4 + 2.69299e6i 0.0174933 + 0.476952i
\(503\) −1.33065e6 + 768250.i −0.234500 + 0.135389i −0.612646 0.790357i \(-0.709895\pi\)
0.378146 + 0.925746i \(0.376562\pi\)
\(504\) −1.31408e7 + 9.65342e6i −2.30433 + 1.69280i
\(505\) −1.71953e6 −0.300041
\(506\) 6.46473e6 237109.i 1.12247 0.0411691i
\(507\) −3.33944e6 5.78407e6i −0.576970 0.999341i
\(508\) −650525. + 1.34574e6i −0.111842 + 0.231367i
\(509\) 6.35716e6 3.67031e6i 1.08760 0.627926i 0.154663 0.987967i \(-0.450571\pi\)
0.932936 + 0.360042i \(0.117238\pi\)
\(510\) 2.68216e6 5.06584e6i 0.456625 0.862434i
\(511\) 323107. + 186546.i 0.0547387 + 0.0316034i
\(512\) 5.61168e6 1.92181e6i 0.946059 0.323994i
\(513\) −2.03666e7 + 6.24088e6i −3.41684 + 1.04701i
\(514\) 43400.6 + 1.18331e6i 0.00724582 + 0.197556i
\(515\) −1.98979e6 + 3.44642e6i −0.330590 + 0.572599i
\(516\) −3.26252e6 1.57709e6i −0.539423 0.260755i
\(517\) 811755. + 1.40600e6i 0.133567 + 0.231345i
\(518\) 3.06095e6 5.78125e6i 0.501223 0.946666i
\(519\) −7.71904e6 + 4.45659e6i −1.25790 + 0.726247i
\(520\) −358072. 3.24258e6i −0.0580713 0.525874i
\(521\) 6.56514e6i 1.05962i 0.848117 + 0.529810i \(0.177737\pi\)
−0.848117 + 0.529810i \(0.822263\pi\)
\(522\) 2.28894e7 1.43588e7i 3.67670 2.30643i
\(523\) −5.10130e6 8.83571e6i −0.815505 1.41250i −0.908965 0.416873i \(-0.863126\pi\)
0.0934593 0.995623i \(-0.470208\pi\)
\(524\) 679689. + 9.25334e6i 0.108139 + 1.47221i
\(525\) 3.96724e6i 0.628190i
\(526\) 6.49101e6 4.07188e6i 1.02293 0.641698i
\(527\) −299425. + 518619.i −0.0469636 + 0.0813433i
\(528\) 1.42567e7 1.13005e7i 2.22553 1.76407i
\(529\) −1.29163e6 + 2.23716e6i −0.200677 + 0.347583i
\(530\) 4.29936e6 + 2.27634e6i 0.664835 + 0.352004i
\(531\) 1.74480e7 2.68540
\(532\) 4.13407e6 5.14865e6i 0.633285 0.788704i
\(533\) 172462. 0.0262951
\(534\) −1.38209e7 7.31765e6i −2.09741 1.11050i
\(535\) 4.64860e6 8.05162e6i 0.702163 1.21618i
\(536\) −3.24081e6 4.41157e6i −0.487238 0.663257i
\(537\) 5.24543e6 9.08535e6i 0.784956 1.35958i
\(538\) −7.56635e6 + 4.74646e6i −1.12702 + 0.706991i
\(539\) 226228.i 0.0335409i
\(540\) 1.99521e7 1.46555e6i 2.94445 0.216280i
\(541\) 4.24380e6 + 7.35048e6i 0.623393 + 1.07975i 0.988849 + 0.148920i \(0.0475797\pi\)
−0.365456 + 0.930829i \(0.619087\pi\)
\(542\) −8.98431e6 + 5.63596e6i −1.31367 + 0.824081i
\(543\) 6.67895e6i 0.972095i
\(544\) −4.09797e6 + 759703.i −0.593706 + 0.110064i
\(545\) −1.55010e6 + 894953.i −0.223547 + 0.129065i
\(546\) 4.13037e6 7.80108e6i 0.592935 1.11988i
\(547\) −4.91066e6 8.50552e6i −0.701733 1.21544i −0.967858 0.251499i \(-0.919077\pi\)
0.266125 0.963939i \(-0.414257\pi\)
\(548\) −767070. + 1.58683e6i −0.109115 + 0.225725i
\(549\) −496705. + 860318.i −0.0703343 + 0.121823i
\(550\) −119841. 3.26744e6i −0.0168927 0.460576i
\(551\) −7.45731e6 + 8.00721e6i −1.04641 + 1.12357i
\(552\) −1.18932e6 1.07701e7i −0.166131 1.50443i
\(553\) −5.12772e6 2.96049e6i −0.713036 0.411671i
\(554\) 3.50997e6 6.62932e6i 0.485880 0.917687i
\(555\) −1.07557e7 + 6.20980e6i −1.48220 + 0.855747i
\(556\) 9.80597e6 + 4.74017e6i 1.34525 + 0.650290i
\(557\) −4.00598e6 6.93856e6i −0.547105 0.947614i −0.998471 0.0552753i \(-0.982396\pi\)
0.451366 0.892339i \(-0.350937\pi\)
\(558\) −3.23201e6 + 118542.i −0.439428 + 0.0161170i
\(559\) 1.44909e6 0.196140
\(560\) −4.85985e6 + 3.85215e6i −0.654866 + 0.519079i
\(561\) −1.10700e7 + 6.39126e6i −1.48505 + 0.857391i
\(562\) 398680. + 1.08700e7i 0.0532457 + 1.45173i
\(563\) −773911. −0.102901 −0.0514505 0.998676i \(-0.516384\pi\)
−0.0514505 + 0.998676i \(0.516384\pi\)
\(564\) 2.24909e6 1.52854e6i 0.297721 0.202338i
\(565\) 496723. + 286783.i 0.0654626 + 0.0377948i
\(566\) 55420.7 34766.0i 0.00727162 0.00456157i
\(567\) 2.79233e7 + 1.61215e7i 3.64761 + 2.10595i
\(568\) 5.10421e6 1.16286e7i 0.663831 1.51236i
\(569\) 1.28885e7i 1.66887i 0.551109 + 0.834433i \(0.314205\pi\)
−0.551109 + 0.834433i \(0.685795\pi\)
\(570\) −1.18434e7 + 4.10971e6i −1.52682 + 0.529814i
\(571\) 4.72666e6i 0.606686i 0.952881 + 0.303343i \(0.0981028\pi\)
−0.952881 + 0.303343i \(0.901897\pi\)
\(572\) −3.16614e6 + 6.54978e6i −0.404613 + 0.837021i
\(573\) 2.21364e7 + 1.27805e7i 2.81658 + 1.62615i
\(574\) −174216. 277718.i −0.0220702 0.0351823i
\(575\) −1.68654e6 973726.i −0.212729 0.122819i
\(576\) −1.52366e7 1.65679e7i −1.91352 2.08071i
\(577\) −1.74004e6 −0.217580 −0.108790 0.994065i \(-0.534698\pi\)
−0.108790 + 0.994065i \(0.534698\pi\)
\(578\) −5.10005e6 + 187056.i −0.634972 + 0.0232890i
\(579\) 1.19771e7 6.91498e6i 1.48476 0.857224i
\(580\) 8.49939e6 5.77640e6i 1.04910 0.712997i
\(581\) −3.56727e6 −0.438425
\(582\) 792886. + 2.16179e7i 0.0970294 + 2.64549i
\(583\) −5.42424e6 9.39505e6i −0.660948 1.14480i
\(584\) −207004. + 471603.i −0.0251158 + 0.0572195i
\(585\) −1.07209e7 + 6.18972e6i −1.29521 + 0.747793i
\(586\) 4.28086e6 + 2.26655e6i 0.514976 + 0.272660i
\(587\) 1.25835e7 + 7.26511e6i 1.50733 + 0.870256i 0.999964 + 0.00852446i \(0.00271345\pi\)
0.507364 + 0.861732i \(0.330620\pi\)
\(588\) −377909. + 27758.7i −0.0450758 + 0.00331097i
\(589\) 1.25222e6 383716.i 0.148728 0.0455744i
\(590\) 6.63145e6 243223.i 0.784293 0.0287657i
\(591\) 1.32223e7 2.29017e7i 1.55718 2.69712i
\(592\) 8.39628e6 + 3.32397e6i 0.984652 + 0.389810i
\(593\) −7.49371e6 1.29795e7i −0.875105 1.51573i −0.856650 0.515897i \(-0.827459\pi\)
−0.0184549 0.999830i \(-0.505875\pi\)
\(594\) −3.94276e7 2.08754e7i −4.58494 2.42755i
\(595\) 3.77356e6 2.17866e6i 0.436977 0.252289i
\(596\) −7.04161e6 + 517230.i −0.812001 + 0.0596442i
\(597\) 6.36839e6i 0.731297i
\(598\) 2.30261e6 + 3.67059e6i 0.263310 + 0.419743i
\(599\) −587810. 1.01812e6i −0.0669376 0.115939i 0.830614 0.556848i \(-0.187990\pi\)
−0.897552 + 0.440909i \(0.854656\pi\)
\(600\) −5.44348e6 + 601114.i −0.617304 + 0.0681677i
\(601\) 1.61217e7i 1.82064i −0.413901 0.910322i \(-0.635834\pi\)
0.413901 0.910322i \(-0.364166\pi\)
\(602\) −1.46382e6 2.33349e6i −0.164625 0.262430i
\(603\) −1.03861e7 + 1.79893e7i −1.16322 + 2.01475i
\(604\) 4.56557e6 + 6.71778e6i 0.509217 + 0.749261i
\(605\) 4.11862e6 7.13366e6i 0.457470 0.792362i
\(606\) 3.00535e6 5.67624e6i 0.332440 0.627884i
\(607\) −341802. −0.0376533 −0.0188267 0.999823i \(-0.505993\pi\)
−0.0188267 + 0.999823i \(0.505993\pi\)
\(608\) 7.69089e6 + 4.89227e6i 0.843758 + 0.536725i
\(609\) 2.78060e7 3.03805
\(610\) −176790. + 333905.i −0.0192368 + 0.0363327i
\(611\) −543720. + 941751.i −0.0589213 + 0.102055i
\(612\) 8.88991e6 + 1.30806e7i 0.959442 + 1.41172i
\(613\) −4.18404e6 + 7.24697e6i −0.449722 + 0.778942i −0.998368 0.0571131i \(-0.981810\pi\)
0.548645 + 0.836055i \(0.315144\pi\)
\(614\) 4.95430e6 + 7.89767e6i 0.530348 + 0.845431i
\(615\) 622423.i 0.0663587i
\(616\) 1.37455e7 1.51789e6i 1.45952 0.161172i
\(617\) 5.61933e6 + 9.73296e6i 0.594253 + 1.02928i 0.993652 + 0.112499i \(0.0358855\pi\)
−0.399399 + 0.916777i \(0.630781\pi\)
\(618\) −7.89910e6 1.25920e7i −0.831967 1.32624i
\(619\) 2.76641e6i 0.290195i 0.989417 + 0.145098i \(0.0463496\pi\)
−0.989417 + 0.145098i \(0.953650\pi\)
\(620\) −1.22674e6 + 90108.1i −0.128166 + 0.00941422i
\(621\) −2.30122e7 + 1.32861e7i −2.39458 + 1.38251i
\(622\) −1.31337e7 6.95376e6i −1.36116 0.720682i
\(623\) −5.94396e6 1.02952e7i −0.613559 1.06271i
\(624\) 1.13297e7 + 4.48529e6i 1.16482 + 0.461136i
\(625\) 2.84049e6 4.91987e6i 0.290866 0.503794i
\(626\) −1.50413e6 + 55167.4i −0.153409 + 0.00562661i
\(627\) 2.72431e7 + 6.27129e6i 2.76750 + 0.637071i
\(628\) −4.64976e6 + 341541.i −0.470470 + 0.0345576i
\(629\) −5.49495e6 3.17251e6i −0.553780 0.319725i
\(630\) 2.07973e7 + 1.10114e7i 2.08764 + 1.10532i
\(631\) −4.76502e6 + 2.75108e6i −0.476421 + 0.275062i −0.718924 0.695089i \(-0.755365\pi\)
0.242503 + 0.970151i \(0.422032\pi\)
\(632\) 3.28516e6 7.48435e6i 0.327163 0.745352i
\(633\) 9.54775e6 + 1.65372e7i 0.947091 + 1.64041i
\(634\) −41842.7 1.14083e6i −0.00413425 0.112720i
\(635\) 2.15722e6 0.212305
\(636\) −1.50286e7 + 1.02139e7i −1.47325 + 1.00126i
\(637\) 131228. 75764.6i 0.0128138 0.00739806i
\(638\) −2.29012e7 + 839953.i −2.22744 + 0.0816965i
\(639\) −4.81908e7 −4.66887
\(640\) −6.02192e6 6.08456e6i −0.581146 0.587190i
\(641\) 1.36796e7 + 7.89794e6i 1.31501 + 0.759222i 0.982921 0.184026i \(-0.0589130\pi\)
0.332090 + 0.943248i \(0.392246\pi\)
\(642\) 1.84541e7 + 2.94177e7i 1.76707 + 2.81690i
\(643\) −6.26732e6 3.61844e6i −0.597798 0.345139i 0.170377 0.985379i \(-0.445501\pi\)
−0.768175 + 0.640240i \(0.778835\pi\)
\(644\) 3.58479e6 7.41583e6i 0.340603 0.704604i
\(645\) 5.22982e6i 0.494980i
\(646\) −4.84363e6 4.19021e6i −0.456656 0.395052i
\(647\) 7.61309e6i 0.714991i 0.933915 + 0.357495i \(0.116369\pi\)
−0.933915 + 0.357495i \(0.883631\pi\)
\(648\) −1.78895e7 + 4.07564e7i −1.67364 + 3.81293i
\(649\) −1.28155e7 7.39903e6i −1.19433 0.689545i
\(650\) 1.85521e6 1.16380e6i 0.172231 0.108042i
\(651\) −2.88233e6 1.66412e6i −0.266558 0.153897i
\(652\) −789391. + 536490.i −0.0727233 + 0.0494246i
\(653\) 1.19337e7 1.09519 0.547597 0.836742i \(-0.315543\pi\)
0.547597 + 0.836742i \(0.315543\pi\)
\(654\) −245047. 6.68116e6i −0.0224029 0.610812i
\(655\) 1.15966e7 6.69531e6i 1.05616 0.609772i
\(656\) 354662. 281122.i 0.0321777 0.0255056i
\(657\) 1.95441e6 0.176645
\(658\) 2.06576e6 75766.5i 0.186001 0.00682202i
\(659\) −2.13322e6 3.69485e6i −0.191347 0.331423i 0.754350 0.656473i \(-0.227952\pi\)
−0.945697 + 0.325050i \(0.894619\pi\)
\(660\) −2.36384e7 1.14267e7i −2.11232 1.02109i
\(661\) 1.24765e7 7.20329e6i 1.11068 0.641250i 0.171673 0.985154i \(-0.445083\pi\)
0.939005 + 0.343904i \(0.111750\pi\)
\(662\) 1.36644e6 2.58081e6i 0.121184 0.228882i
\(663\) −7.41476e6 4.28091e6i −0.655109 0.378227i
\(664\) −540510. 4.89468e6i −0.0475755 0.430828i
\(665\) −9.28668e6 2.13777e6i −0.814341 0.187459i
\(666\) −1.25599e6 3.42444e7i −0.109724 2.99160i
\(667\) −6.82474e6 + 1.18208e7i −0.593980 + 1.02880i
\(668\) 1.43218e6 2.96275e6i 0.124182 0.256894i
\(669\) −1.54558e7 2.67703e7i −1.33514 2.31253i
\(670\) −3.69669e6 + 6.98198e6i −0.318146 + 0.600885i
\(671\) 729656. 421267.i 0.0625622 0.0361203i
\(672\) −4.22221e6 2.27753e7i −0.360675 1.94554i
\(673\) 1.27444e7i 1.08463i −0.840174 0.542317i \(-0.817547\pi\)
0.840174 0.542317i \(-0.182453\pi\)
\(674\) 1.59526e7 1.00072e7i 1.35264 0.848525i
\(675\) 6.71514e6 + 1.16310e7i 0.567277 + 0.982553i
\(676\) 6.98977e6 513422.i 0.588296 0.0432123i
\(677\) 1.13646e7i 0.952980i −0.879180 0.476490i \(-0.841909\pi\)
0.879180 0.476490i \(-0.158091\pi\)
\(678\) −1.81485e6 + 1.13847e6i −0.151623 + 0.0951150i
\(679\) −8.22212e6 + 1.42411e7i −0.684399 + 1.18541i
\(680\) 3.56113e6 + 4.84761e6i 0.295335 + 0.402027i
\(681\) −1.17250e7 + 2.03083e7i −0.968826 + 1.67806i
\(682\) 2.42417e6 + 1.28351e6i 0.199573 + 0.105666i
\(683\) −1.23745e7 −1.01502 −0.507510 0.861646i \(-0.669434\pi\)
−0.507510 + 0.861646i \(0.669434\pi\)
\(684\) 5.26924e6 3.41853e7i 0.430633 2.79382i
\(685\) 2.54369e6 0.207128
\(686\) 1.07636e7 + 5.69891e6i 0.873268 + 0.462361i
\(687\) 4.19692e6 7.26928e6i 0.339265 0.587624i
\(688\) 2.97999e6 2.36209e6i 0.240018 0.190250i
\(689\) 3.63320e6 6.29288e6i 0.291569 0.505012i
\(690\) −1.32473e7 + 8.31021e6i −1.05927 + 0.664491i
\(691\) 1.66413e7i 1.32584i −0.748690 0.662920i \(-0.769317\pi\)
0.748690 0.662920i \(-0.230683\pi\)
\(692\) −685179. 9.32808e6i −0.0543925 0.740504i
\(693\) −2.62387e7 4.54467e7i −2.07543 3.59476i
\(694\) 1.65092e6 1.03564e6i 0.130115 0.0816228i
\(695\) 1.57190e7i 1.23442i
\(696\) 4.21315e6 + 3.81528e7i 0.329673 + 2.98541i
\(697\) −275386. + 158994.i −0.0214714 + 0.0123965i
\(698\) 4.77578e6 9.02008e6i 0.371028 0.700764i
\(699\) −6.67131e6 1.15551e7i −0.516438 0.894497i
\(700\) −3.74815e6 1.81184e6i −0.289116 0.139758i
\(701\) −3.74710e6 + 6.49017e6i −0.288005 + 0.498840i −0.973333 0.229395i \(-0.926325\pi\)
0.685328 + 0.728234i \(0.259659\pi\)
\(702\) −1.09526e6 2.98620e7i −0.0838830 2.28705i
\(703\) 4.06561e6 + 1.32678e7i 0.310268 + 1.01253i
\(704\) 4.16542e6 + 1.86303e7i 0.316758 + 1.41674i
\(705\) −3.39882e6 1.96231e6i −0.257546 0.148695i
\(706\) −6.43649e6 + 1.21567e7i −0.486001 + 0.917917i
\(707\) 4.22825e6 2.44118e6i 0.318135 0.183676i
\(708\) −1.07874e7 + 2.23159e7i −0.808787 + 1.67313i
\(709\) 276294. + 478555.i 0.0206422 + 0.0357533i 0.876162 0.482017i \(-0.160096\pi\)
−0.855520 + 0.517770i \(0.826762\pi\)
\(710\) −1.83159e7 + 671776.i −1.36358 + 0.0500125i
\(711\) −3.10165e7 −2.30101
\(712\) 1.32256e7 9.71568e6i 0.977719 0.718246i
\(713\) 1.41489e6 816885.i 0.104231 0.0601779i
\(714\) 596539. + 1.62645e7i 0.0437918 + 1.19398i
\(715\) 1.04993e7 0.768060
\(716\) 6.18801e6 + 9.10503e6i 0.451096 + 0.663741i
\(717\) −1.96237e7 1.13297e7i −1.42555 0.823042i
\(718\) 1.95093e7 1.22384e7i 1.41231 0.885957i
\(719\) −4.69639e6 2.71146e6i −0.338799 0.195606i 0.320942 0.947099i \(-0.396001\pi\)
−0.659741 + 0.751493i \(0.729334\pi\)
\(720\) −1.19576e7 + 3.02045e7i −0.859630 + 2.17141i
\(721\) 1.12995e7i 0.809508i
\(722\) 1.50630e6 + 1.39257e7i 0.107540 + 0.994201i
\(723\) 1.91613e7i 1.36326i
\(724\) 6.31010e6 + 3.05028e6i 0.447394 + 0.216269i
\(725\) 5.97454e6 + 3.44940e6i 0.422143 + 0.243724i
\(726\) 1.63501e7 + 2.60638e7i 1.15128 + 1.83526i
\(727\) 1.20302e7 + 6.94566e6i 0.844186 + 0.487391i 0.858685 0.512504i \(-0.171282\pi\)
−0.0144986 + 0.999895i \(0.504615\pi\)
\(728\) 5.48391e6 + 7.46502e6i 0.383497 + 0.522039i
\(729\) 6.85903e7 4.78018
\(730\) 742810. 27244.3i 0.0515906 0.00189220i
\(731\) −2.31389e6 + 1.33593e6i −0.160159 + 0.0924676i
\(732\) −793247. 1.16718e6i −0.0547181 0.0805121i
\(733\) 6.31756e6 0.434299 0.217150 0.976138i \(-0.430324\pi\)
0.217150 + 0.976138i \(0.430324\pi\)
\(734\) −620295. 1.69122e7i −0.0424970 1.15867i
\(735\) 273438. + 473609.i 0.0186698 + 0.0323371i
\(736\) 1.07185e7 + 3.79507e6i 0.729354 + 0.258241i
\(737\) 1.52572e7 8.80874e6i 1.03468 0.597372i
\(738\) −1.51774e6 803586.i −0.102579 0.0543115i
\(739\) 1.03938e6 + 600087.i 0.0700106 + 0.0404206i 0.534597 0.845107i \(-0.320464\pi\)
−0.464586 + 0.885528i \(0.653797\pi\)
\(740\) −954727. 1.29977e7i −0.0640914 0.872546i
\(741\) 5.48603e6 + 1.79032e7i 0.367040 + 1.19780i
\(742\) −1.38036e7 + 506280.i −0.920415 + 0.0337583i
\(743\) 417417. 722987.i 0.0277394 0.0480461i −0.851822 0.523831i \(-0.824502\pi\)
0.879562 + 0.475785i \(0.157836\pi\)
\(744\) 1.84662e6 4.20701e6i 0.122305 0.278639i
\(745\) 5.09500e6 + 8.82480e6i 0.336321 + 0.582525i
\(746\) 1.55508e7 + 8.23354e6i 1.02307 + 0.541676i
\(747\) −1.61832e7 + 9.34340e6i −1.06112 + 0.612637i
\(748\) −982625. 1.33775e7i −0.0642146 0.874222i
\(749\) 2.63982e7i 1.71937i
\(750\) 1.74301e7 + 2.77854e7i 1.13148 + 1.80370i
\(751\) 1.05642e7 + 1.82977e7i 0.683495 + 1.18385i 0.973907 + 0.226946i \(0.0728741\pi\)
−0.290413 + 0.956901i \(0.593793\pi\)
\(752\) 416963. + 2.82297e6i 0.0268876 + 0.182038i
\(753\) 1.45269e7i 0.933653i
\(754\) −8.15693e6 1.30030e7i −0.522514 0.832943i
\(755\) 5.86120e6 1.01519e7i 0.374214 0.648157i
\(756\) −4.69808e7 + 3.19294e7i −2.98962 + 2.03182i
\(757\) −1.12550e7 + 1.94943e7i −0.713850 + 1.23642i 0.249552 + 0.968361i \(0.419717\pi\)
−0.963402 + 0.268062i \(0.913617\pi\)
\(758\) −3.45375e6 + 6.52315e6i −0.218333 + 0.412367i
\(759\) 3.48730e7 2.19728
\(760\) 1.52614e6 1.30662e7i 0.0958428 0.820571i
\(761\) −4.52701e6 −0.283367 −0.141684 0.989912i \(-0.545252\pi\)
−0.141684 + 0.989912i \(0.545252\pi\)
\(762\) −3.77034e6 + 7.12108e6i −0.235230 + 0.444282i
\(763\) 2.54110e6 4.40131e6i 0.158019 0.273698i
\(764\) −2.21844e7 + 1.50771e7i −1.37504 + 0.934510i
\(765\) 1.14127e7 1.97674e7i 0.705075 1.22123i
\(766\) −1.91851e6 3.05831e6i −0.118139 0.188326i
\(767\) 9.91185e6i 0.608368i
\(768\) 3.06104e7 9.24422e6i 1.87269 0.565545i
\(769\) −4.46534e6 7.73420e6i