Properties

Label 33.6.f.a.2.8
Level $33$
Weight $6$
Character 33.2
Analytic conductor $5.293$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 33 = 3 \cdot 11 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 33.f (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.29266605383\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 2.8
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.01916 + 3.13665i) q^{2} +(-8.08821 + 13.3259i) q^{3} +(17.0887 + 12.4156i) q^{4} +(-40.8503 + 13.2731i) q^{5} +(-33.5556 - 38.9511i) q^{6} +(39.2343 - 54.0014i) q^{7} +(-141.742 + 102.981i) q^{8} +(-112.162 - 215.566i) q^{9} +O(q^{10})\) \(q+(-1.01916 + 3.13665i) q^{2} +(-8.08821 + 13.3259i) q^{3} +(17.0887 + 12.4156i) q^{4} +(-40.8503 + 13.2731i) q^{5} +(-33.5556 - 38.9511i) q^{6} +(39.2343 - 54.0014i) q^{7} +(-141.742 + 102.981i) q^{8} +(-112.162 - 215.566i) q^{9} -141.660i q^{10} +(-397.241 + 57.0130i) q^{11} +(-303.667 + 127.302i) q^{12} +(-146.801 - 47.6985i) q^{13} +(129.397 + 178.100i) q^{14} +(153.530 - 651.725i) q^{15} +(30.3142 + 93.2975i) q^{16} +(19.0002 + 58.4765i) q^{17} +(790.466 - 132.115i) q^{18} +(1187.03 + 1633.81i) q^{19} +(-862.872 - 280.364i) q^{20} +(402.284 + 959.609i) q^{21} +(226.022 - 1304.11i) q^{22} +1286.90i q^{23} +(-225.887 - 2721.78i) q^{24} +(-1035.60 + 752.410i) q^{25} +(299.227 - 411.851i) q^{26} +(3779.81 + 248.886i) q^{27} +(1340.92 - 435.693i) q^{28} +(5642.83 + 4099.76i) q^{29} +(1887.76 + 1145.78i) q^{30} +(-840.834 + 2587.82i) q^{31} -5930.01 q^{32} +(2453.22 - 5754.75i) q^{33} -202.785 q^{34} +(-885.970 + 2726.73i) q^{35} +(759.701 - 5076.30i) q^{36} +(-9428.42 - 6850.15i) q^{37} +(-6334.47 + 2058.19i) q^{38} +(1822.99 - 1570.47i) q^{39} +(4423.32 - 6088.17i) q^{40} +(-10856.1 + 7887.45i) q^{41} +(-3419.95 + 283.830i) q^{42} +3417.72i q^{43} +(-7496.17 - 3957.73i) q^{44} +(7443.06 + 7317.22i) q^{45} +(-4036.56 - 1311.56i) q^{46} +(-5114.80 - 7039.92i) q^{47} +(-1488.47 - 350.645i) q^{48} +(3816.83 + 11747.0i) q^{49} +(-1304.60 - 4015.15i) q^{50} +(-932.933 - 219.775i) q^{51} +(-1916.42 - 2637.73i) q^{52} +(27613.0 + 8972.01i) q^{53} +(-4632.90 + 11602.3i) q^{54} +(15470.7 - 7601.61i) q^{55} +11694.7i q^{56} +(-31373.1 + 2603.73i) q^{57} +(-18610.4 + 13521.3i) q^{58} +(24093.0 - 33161.1i) q^{59} +(10715.2 - 9230.93i) q^{60} +(16570.6 - 5384.11i) q^{61} +(-7260.14 - 5274.80i) q^{62} +(-16041.5 - 2400.71i) q^{63} +(5073.57 - 15614.8i) q^{64} +6629.97 q^{65} +(15550.4 + 13559.9i) q^{66} +36858.5 q^{67} +(-401.336 + 1235.19i) q^{68} +(-17149.2 - 10408.8i) q^{69} +(-7649.86 - 5557.95i) q^{70} +(49329.1 - 16028.0i) q^{71} +(38097.3 + 19004.2i) q^{72} +(-42702.5 + 58774.9i) q^{73} +(31095.6 - 22592.3i) q^{74} +(-1650.39 - 19886.0i) q^{75} +42657.5i q^{76} +(-12506.7 + 23688.4i) q^{77} +(3068.09 + 7318.62i) q^{78} +(-9746.11 - 3166.70i) q^{79} +(-2476.69 - 3408.87i) q^{80} +(-33888.6 + 48356.5i) q^{81} +(-13676.0 - 42090.5i) q^{82} +(-14452.1 - 44479.1i) q^{83} +(-5039.66 + 21393.0i) q^{84} +(-1552.33 - 2136.60i) q^{85} +(-10720.2 - 3483.20i) q^{86} +(-100274. + 42036.4i) q^{87} +(50434.4 - 48989.6i) q^{88} +36845.4i q^{89} +(-30537.2 + 15888.9i) q^{90} +(-8335.42 + 6056.04i) q^{91} +(-15977.7 + 21991.5i) q^{92} +(-27684.3 - 32135.8i) q^{93} +(27294.5 - 8868.53i) q^{94} +(-70176.4 - 50986.2i) q^{95} +(47963.2 - 79023.0i) q^{96} +(38798.6 - 119410. i) q^{97} -40736.1 q^{98} +(56845.3 + 79237.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + O(q^{10}) \) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + 1854q^{12} - 10q^{13} - 762q^{15} - 10122q^{16} + 4815q^{18} + 4460q^{19} + 4628q^{22} - 805q^{24} + 13708q^{25} + 6108q^{27} - 28130q^{28} - 15470q^{30} + 4340q^{31} - 508q^{33} + 18732q^{34} - 56461q^{36} + 978q^{37} + 23360q^{39} + 69750q^{40} + 60788q^{42} - 31356q^{45} - 52090q^{46} + 4238q^{48} - 58448q^{49} - 178950q^{51} - 14190q^{52} + 86600q^{55} + 266190q^{57} + 137102q^{58} + 284090q^{60} - 77890q^{61} - 120330q^{63} - 379114q^{64} - 323304q^{66} + 42668q^{67} - 271816q^{69} + 87176q^{70} + 343960q^{72} + 116440q^{73} + 326202q^{75} + 155512q^{78} - 350590q^{79} - 208088q^{81} - 606424q^{82} - 220680q^{84} + 665610q^{85} + 1152974q^{88} + 293440q^{90} + 621014q^{91} + 478456q^{93} - 521270q^{94} - 1246430q^{96} - 1030446q^{97} - 590000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).

\(n\) \(13\) \(23\)
\(\chi(n)\) \(e\left(\frac{1}{10}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.01916 + 3.13665i −0.180164 + 0.554486i −0.999832 0.0183525i \(-0.994158\pi\)
0.819668 + 0.572839i \(0.194158\pi\)
\(3\) −8.08821 + 13.3259i −0.518859 + 0.854860i
\(4\) 17.0887 + 12.4156i 0.534021 + 0.387989i
\(5\) −40.8503 + 13.2731i −0.730753 + 0.237436i −0.650679 0.759353i \(-0.725516\pi\)
−0.0800739 + 0.996789i \(0.525516\pi\)
\(6\) −33.5556 38.9511i −0.380529 0.441715i
\(7\) 39.2343 54.0014i 0.302636 0.416543i −0.630431 0.776245i \(-0.717122\pi\)
0.933067 + 0.359702i \(0.117122\pi\)
\(8\) −141.742 + 102.981i −0.783020 + 0.568897i
\(9\) −112.162 215.566i −0.461570 0.887104i
\(10\) 141.660i 0.447970i
\(11\) −397.241 + 57.0130i −0.989857 + 0.142067i
\(12\) −303.667 + 127.302i −0.608758 + 0.255201i
\(13\) −146.801 47.6985i −0.240919 0.0782792i 0.186069 0.982537i \(-0.440425\pi\)
−0.426988 + 0.904257i \(0.640425\pi\)
\(14\) 129.397 + 178.100i 0.176443 + 0.242853i
\(15\) 153.530 651.725i 0.176183 0.747887i
\(16\) 30.3142 + 93.2975i 0.0296037 + 0.0911109i
\(17\) 19.0002 + 58.4765i 0.0159454 + 0.0490749i 0.958713 0.284377i \(-0.0917866\pi\)
−0.942767 + 0.333452i \(0.891787\pi\)
\(18\) 790.466 132.115i 0.575045 0.0961107i
\(19\) 1187.03 + 1633.81i 0.754361 + 1.03829i 0.997662 + 0.0683377i \(0.0217695\pi\)
−0.243302 + 0.969951i \(0.578230\pi\)
\(20\) −862.872 280.364i −0.482360 0.156728i
\(21\) 402.284 + 959.609i 0.199060 + 0.474839i
\(22\) 226.022 1304.11i 0.0995621 0.574457i
\(23\) 1286.90i 0.507255i 0.967302 + 0.253628i \(0.0816238\pi\)
−0.967302 + 0.253628i \(0.918376\pi\)
\(24\) −225.887 2721.78i −0.0800503 0.964550i
\(25\) −1035.60 + 752.410i −0.331393 + 0.240771i
\(26\) 299.227 411.851i 0.0868095 0.119483i
\(27\) 3779.81 + 248.886i 0.997839 + 0.0657040i
\(28\) 1340.92 435.693i 0.323228 0.105023i
\(29\) 5642.83 + 4099.76i 1.24595 + 0.905239i 0.997980 0.0635274i \(-0.0202350\pi\)
0.247975 + 0.968767i \(0.420235\pi\)
\(30\) 1887.76 + 1145.78i 0.382951 + 0.232433i
\(31\) −840.834 + 2587.82i −0.157147 + 0.483649i −0.998372 0.0570363i \(-0.981835\pi\)
0.841225 + 0.540685i \(0.181835\pi\)
\(32\) −5930.01 −1.02372
\(33\) 2453.22 5754.75i 0.392149 0.919902i
\(34\) −202.785 −0.0300841
\(35\) −885.970 + 2726.73i −0.122250 + 0.376247i
\(36\) 759.701 5076.30i 0.0976981 0.652816i
\(37\) −9428.42 6850.15i −1.13223 0.822613i −0.146212 0.989253i \(-0.546708\pi\)
−0.986018 + 0.166640i \(0.946708\pi\)
\(38\) −6334.47 + 2058.19i −0.711625 + 0.231221i
\(39\) 1822.99 1570.47i 0.191921 0.165336i
\(40\) 4423.32 6088.17i 0.437117 0.601640i
\(41\) −10856.1 + 7887.45i −1.00859 + 0.732786i −0.963913 0.266216i \(-0.914227\pi\)
−0.0446794 + 0.999001i \(0.514227\pi\)
\(42\) −3419.95 + 283.830i −0.299155 + 0.0248276i
\(43\) 3417.72i 0.281881i 0.990018 + 0.140940i \(0.0450126\pi\)
−0.990018 + 0.140940i \(0.954987\pi\)
\(44\) −7496.17 3957.73i −0.583725 0.308187i
\(45\) 7443.06 + 7317.22i 0.547924 + 0.538660i
\(46\) −4036.56 1311.56i −0.281266 0.0913889i
\(47\) −5114.80 7039.92i −0.337741 0.464861i 0.606039 0.795435i \(-0.292758\pi\)
−0.943780 + 0.330574i \(0.892758\pi\)
\(48\) −1488.47 350.645i −0.0932472 0.0219667i
\(49\) 3816.83 + 11747.0i 0.227098 + 0.698935i
\(50\) −1304.60 4015.15i −0.0737993 0.227131i
\(51\) −932.933 219.775i −0.0502256 0.0118319i
\(52\) −1916.42 2637.73i −0.0982841 0.135277i
\(53\) 27613.0 + 8972.01i 1.35028 + 0.438733i 0.892787 0.450480i \(-0.148747\pi\)
0.457494 + 0.889213i \(0.348747\pi\)
\(54\) −4632.90 + 11602.3i −0.216206 + 0.541451i
\(55\) 15470.7 7601.61i 0.689609 0.338843i
\(56\) 11694.7i 0.498330i
\(57\) −31373.1 + 2603.73i −1.27900 + 0.106147i
\(58\) −18610.4 + 13521.3i −0.726418 + 0.527774i
\(59\) 24093.0 33161.1i 0.901074 1.24022i −0.0690507 0.997613i \(-0.521997\pi\)
0.970124 0.242608i \(-0.0780030\pi\)
\(60\) 10715.2 9230.93i 0.384257 0.331030i
\(61\) 16570.6 5384.11i 0.570181 0.185263i −0.00971591 0.999953i \(-0.503093\pi\)
0.579897 + 0.814690i \(0.303093\pi\)
\(62\) −7260.14 5274.80i −0.239864 0.174272i
\(63\) −16041.5 2400.71i −0.509205 0.0762058i
\(64\) 5073.57 15614.8i 0.154833 0.476527i
\(65\) 6629.97 0.194638
\(66\) 15550.4 + 13559.9i 0.439422 + 0.383174i
\(67\) 36858.5 1.00311 0.501557 0.865125i \(-0.332761\pi\)
0.501557 + 0.865125i \(0.332761\pi\)
\(68\) −401.336 + 1235.19i −0.0105253 + 0.0323937i
\(69\) −17149.2 10408.8i −0.433632 0.263194i
\(70\) −7649.86 5557.95i −0.186599 0.135572i
\(71\) 49329.1 16028.0i 1.16133 0.377340i 0.335932 0.941886i \(-0.390949\pi\)
0.825402 + 0.564546i \(0.190949\pi\)
\(72\) 38097.3 + 19004.2i 0.866089 + 0.432034i
\(73\) −42702.5 + 58774.9i −0.937878 + 1.29088i 0.0188288 + 0.999823i \(0.494006\pi\)
−0.956706 + 0.291055i \(0.905994\pi\)
\(74\) 31095.6 22592.3i 0.660114 0.479601i
\(75\) −1650.39 19886.0i −0.0338792 0.408221i
\(76\) 42657.5i 0.847151i
\(77\) −12506.7 + 23688.4i −0.240390 + 0.455312i
\(78\) 3068.09 + 7318.62i 0.0570993 + 0.136205i
\(79\) −9746.11 3166.70i −0.175697 0.0570873i 0.219848 0.975534i \(-0.429444\pi\)
−0.395544 + 0.918447i \(0.629444\pi\)
\(80\) −2476.69 3408.87i −0.0432660 0.0595505i
\(81\) −33888.6 + 48356.5i −0.573906 + 0.818921i
\(82\) −13676.0 42090.5i −0.224608 0.691272i
\(83\) −14452.1 44479.1i −0.230270 0.708697i −0.997714 0.0675810i \(-0.978472\pi\)
0.767444 0.641116i \(-0.221528\pi\)
\(84\) −5039.66 + 21393.0i −0.0779298 + 0.330807i
\(85\) −1552.33 2136.60i −0.0233043 0.0320756i
\(86\) −10720.2 3483.20i −0.156299 0.0507847i
\(87\) −100274. + 42036.4i −1.42033 + 0.595425i
\(88\) 50434.4 48989.6i 0.694256 0.674368i
\(89\) 36845.4i 0.493070i 0.969134 + 0.246535i \(0.0792920\pi\)
−0.969134 + 0.246535i \(0.920708\pi\)
\(90\) −30537.2 + 15888.9i −0.397396 + 0.206770i
\(91\) −8335.42 + 6056.04i −0.105517 + 0.0766629i
\(92\) −15977.7 + 21991.5i −0.196809 + 0.270885i
\(93\) −27684.3 32135.8i −0.331915 0.385284i
\(94\) 27294.5 8868.53i 0.318608 0.103522i
\(95\) −70176.4 50986.2i −0.797778 0.579620i
\(96\) 47963.2 79023.0i 0.531166 0.875136i
\(97\) 38798.6 119410.i 0.418685 1.28858i −0.490228 0.871594i \(-0.663087\pi\)
0.908913 0.416985i \(-0.136913\pi\)
\(98\) −40736.1 −0.428464
\(99\) 56845.3 + 79237.1i 0.582917 + 0.812532i
\(100\) −27038.7 −0.270387
\(101\) 31493.0 96925.6i 0.307193 0.945442i −0.671657 0.740862i \(-0.734417\pi\)
0.978850 0.204580i \(-0.0655829\pi\)
\(102\) 1640.16 2702.30i 0.0156094 0.0257177i
\(103\) −142938. 103851.i −1.32756 0.964532i −0.999805 0.0197704i \(-0.993706\pi\)
−0.327759 0.944761i \(-0.606294\pi\)
\(104\) 25719.9 8356.90i 0.233177 0.0757638i
\(105\) −29170.4 33860.8i −0.258208 0.299726i
\(106\) −56284.1 + 77468.4i −0.486543 + 0.669669i
\(107\) −78863.7 + 57297.9i −0.665914 + 0.483815i −0.868655 0.495418i \(-0.835015\pi\)
0.202741 + 0.979232i \(0.435015\pi\)
\(108\) 61501.8 + 51181.9i 0.507374 + 0.422238i
\(109\) 219803.i 1.77201i 0.463673 + 0.886006i \(0.346531\pi\)
−0.463673 + 0.886006i \(0.653469\pi\)
\(110\) 8076.49 + 56273.4i 0.0636416 + 0.443426i
\(111\) 167544. 70237.1i 1.29069 0.541077i
\(112\) 6227.55 + 2023.45i 0.0469107 + 0.0152422i
\(113\) 84104.7 + 115760.i 0.619618 + 0.852831i 0.997325 0.0730939i \(-0.0232873\pi\)
−0.377707 + 0.925925i \(0.623287\pi\)
\(114\) 23807.2 101060.i 0.171572 0.728311i
\(115\) −17081.2 52570.4i −0.120441 0.370678i
\(116\) 45527.4 + 140119.i 0.314143 + 0.966833i
\(117\) 6183.24 + 36995.3i 0.0417591 + 0.249851i
\(118\) 79460.2 + 109368.i 0.525345 + 0.723076i
\(119\) 3903.27 + 1268.25i 0.0252675 + 0.00820989i
\(120\) 45353.9 + 108187.i 0.287516 + 0.685841i
\(121\) 154550. 45295.8i 0.959634 0.281251i
\(122\) 57463.3i 0.349535i
\(123\) −17300.9 208464.i −0.103111 1.24242i
\(124\) −46498.2 + 33782.9i −0.271570 + 0.197307i
\(125\) 111214. 153074.i 0.636629 0.876244i
\(126\) 23879.0 47869.7i 0.133995 0.268617i
\(127\) −26429.8 + 8587.55i −0.145407 + 0.0472455i −0.380816 0.924651i \(-0.624357\pi\)
0.235409 + 0.971896i \(0.424357\pi\)
\(128\) −109712. 79710.4i −0.591873 0.430021i
\(129\) −45544.4 27643.3i −0.240969 0.146257i
\(130\) −6757.00 + 20795.9i −0.0350667 + 0.107924i
\(131\) 21872.3 0.111357 0.0556784 0.998449i \(-0.482268\pi\)
0.0556784 + 0.998449i \(0.482268\pi\)
\(132\) 113371. 67882.7i 0.566327 0.339097i
\(133\) 134801. 0.660788
\(134\) −37564.6 + 115612.i −0.180725 + 0.556213i
\(135\) −157710. + 40002.6i −0.744774 + 0.188910i
\(136\) −8715.11 6331.90i −0.0404041 0.0293553i
\(137\) −150568. + 48922.5i −0.685379 + 0.222693i −0.630949 0.775824i \(-0.717334\pi\)
−0.0544304 + 0.998518i \(0.517334\pi\)
\(138\) 50126.4 43182.9i 0.224062 0.193025i
\(139\) 133849. 184228.i 0.587596 0.808757i −0.406906 0.913470i \(-0.633392\pi\)
0.994502 + 0.104713i \(0.0333924\pi\)
\(140\) −48994.2 + 35596.4i −0.211264 + 0.153492i
\(141\) 135183. 11219.2i 0.572631 0.0475240i
\(142\) 171063.i 0.711927i
\(143\) 61034.8 + 10578.3i 0.249596 + 0.0432587i
\(144\) 16711.7 16999.1i 0.0671606 0.0683156i
\(145\) −284928. 92578.7i −1.12542 0.365672i
\(146\) −140836. 193844.i −0.546803 0.752609i
\(147\) −187411. 44149.3i −0.715323 0.168512i
\(148\) −76070.1 234120.i −0.285470 0.878585i
\(149\) 142334. + 438058.i 0.525221 + 1.61646i 0.763878 + 0.645361i \(0.223293\pi\)
−0.238657 + 0.971104i \(0.576707\pi\)
\(150\) 64057.5 + 15090.3i 0.232457 + 0.0547609i
\(151\) 175340. + 241335.i 0.625805 + 0.861346i 0.997759 0.0669045i \(-0.0213123\pi\)
−0.371955 + 0.928251i \(0.621312\pi\)
\(152\) −336504. 109337.i −1.18136 0.383847i
\(153\) 10474.5 10654.6i 0.0361746 0.0367967i
\(154\) −61556.0 63371.4i −0.209155 0.215323i
\(155\) 116874.i 0.390740i
\(156\) 50650.7 4203.63i 0.166638 0.0138297i
\(157\) −79739.6 + 57934.2i −0.258181 + 0.187580i −0.709345 0.704861i \(-0.751009\pi\)
0.451163 + 0.892441i \(0.351009\pi\)
\(158\) 19865.7 27342.7i 0.0633083 0.0871363i
\(159\) −342900. + 295402.i −1.07566 + 0.926660i
\(160\) 242243. 78709.5i 0.748086 0.243068i
\(161\) 69494.6 + 50490.8i 0.211294 + 0.153514i
\(162\) −117139. 155579.i −0.350684 0.465763i
\(163\) −6395.96 + 19684.7i −0.0188554 + 0.0580311i −0.960042 0.279858i \(-0.909713\pi\)
0.941186 + 0.337889i \(0.109713\pi\)
\(164\) −283445. −0.822922
\(165\) −23831.6 + 267645.i −0.0681465 + 0.765331i
\(166\) 154244. 0.434449
\(167\) 25087.5 77211.4i 0.0696091 0.214235i −0.910200 0.414168i \(-0.864073\pi\)
0.979810 + 0.199933i \(0.0640726\pi\)
\(168\) −155842. 94588.8i −0.426002 0.258563i
\(169\) −281107. 204236.i −0.757103 0.550067i
\(170\) 8283.82 2691.58i 0.0219841 0.00714306i
\(171\) 219055. 439135.i 0.572879 1.14844i
\(172\) −42433.2 + 58404.3i −0.109367 + 0.150530i
\(173\) 59358.4 43126.4i 0.150788 0.109554i −0.509833 0.860273i \(-0.670293\pi\)
0.660621 + 0.750719i \(0.270293\pi\)
\(174\) −29658.6 357365.i −0.0742638 0.894826i
\(175\) 85444.3i 0.210905i
\(176\) −17361.2 35333.3i −0.0422473 0.0859810i
\(177\) 247034. + 589276.i 0.592685 + 1.41379i
\(178\) −115571. 37551.3i −0.273401 0.0888332i
\(179\) 39792.2 + 54769.3i 0.0928252 + 0.127763i 0.852904 0.522069i \(-0.174839\pi\)
−0.760078 + 0.649831i \(0.774839\pi\)
\(180\) 36344.1 + 217452.i 0.0836088 + 0.500244i
\(181\) 93801.1 + 288690.i 0.212819 + 0.654991i 0.999301 + 0.0373775i \(0.0119004\pi\)
−0.786482 + 0.617614i \(0.788100\pi\)
\(182\) −10500.5 32317.3i −0.0234981 0.0723198i
\(183\) −62278.0 + 264366.i −0.137470 + 0.583550i
\(184\) −132527. 182408.i −0.288576 0.397191i
\(185\) 476077. + 154687.i 1.02270 + 0.332295i
\(186\) 129013. 54084.5i 0.273434 0.114628i
\(187\) −10881.6 22146.0i −0.0227556 0.0463118i
\(188\) 183806.i 0.379285i
\(189\) 161738. 194350.i 0.329351 0.395758i
\(190\) 231447. 168156.i 0.465122 0.337931i
\(191\) 382164. 526004.i 0.757995 1.04329i −0.239383 0.970925i \(-0.576945\pi\)
0.997378 0.0723656i \(-0.0230548\pi\)
\(192\) 167046. + 193906.i 0.327027 + 0.379611i
\(193\) −549012. + 178385.i −1.06094 + 0.344719i −0.786951 0.617015i \(-0.788342\pi\)
−0.273984 + 0.961734i \(0.588342\pi\)
\(194\) 335005. + 243395.i 0.639068 + 0.464310i
\(195\) −53624.7 + 88350.7i −0.100990 + 0.166389i
\(196\) −80622.0 + 248129.i −0.149904 + 0.461357i
\(197\) 414287. 0.760565 0.380282 0.924870i \(-0.375827\pi\)
0.380282 + 0.924870i \(0.375827\pi\)
\(198\) −306473. + 97548.5i −0.555558 + 0.176831i
\(199\) −375806. −0.672715 −0.336357 0.941734i \(-0.609195\pi\)
−0.336357 + 0.941734i \(0.609195\pi\)
\(200\) 69304.0 213296.i 0.122513 0.377057i
\(201\) −298119. + 491174.i −0.520475 + 0.857522i
\(202\) 271925. + 197565.i 0.468890 + 0.340668i
\(203\) 442785. 143870.i 0.754142 0.245036i
\(204\) −13213.9 15338.6i −0.0222309 0.0258054i
\(205\) 338786. 466299.i 0.563043 0.774962i
\(206\) 471420. 342507.i 0.773998 0.562343i
\(207\) 277413. 144341.i 0.449988 0.234134i
\(208\) 15142.1i 0.0242677i
\(209\) −564687. 581341.i −0.894215 0.920588i
\(210\) 135939. 56987.7i 0.212713 0.0891730i
\(211\) 494441. + 160654.i 0.764555 + 0.248419i 0.665232 0.746637i \(-0.268333\pi\)
0.0993223 + 0.995055i \(0.468333\pi\)
\(212\) 360476. + 496153.i 0.550855 + 0.758186i
\(213\) −185396. + 786995.i −0.279996 + 1.18856i
\(214\) −99348.6 305763.i −0.148295 0.456406i
\(215\) −45363.7 139615.i −0.0669287 0.205985i
\(216\) −561387. + 353973.i −0.818707 + 0.516220i
\(217\) 106756. + 146938.i 0.153902 + 0.211828i
\(218\) −689444. 224014.i −0.982557 0.319252i
\(219\) −437845. 1.04444e6i −0.616893 1.47154i
\(220\) 358752. + 62177.2i 0.499733 + 0.0866113i
\(221\) 9490.69i 0.0130713i
\(222\) 49555.5 + 597109.i 0.0674853 + 0.813151i
\(223\) 877899. 637831.i 1.18218 0.858902i 0.189761 0.981830i \(-0.439229\pi\)
0.992416 + 0.122928i \(0.0392285\pi\)
\(224\) −232660. + 320229.i −0.309814 + 0.426423i
\(225\) 278349. + 138850.i 0.366550 + 0.182847i
\(226\) −448815. + 145829.i −0.584516 + 0.189921i
\(227\) −794078. 576932.i −1.02282 0.743121i −0.0559600 0.998433i \(-0.517822\pi\)
−0.966859 + 0.255312i \(0.917822\pi\)
\(228\) −568451. 345023.i −0.724195 0.439552i
\(229\) −341701. + 1.05165e6i −0.430584 + 1.32520i 0.466961 + 0.884278i \(0.345349\pi\)
−0.897545 + 0.440924i \(0.854651\pi\)
\(230\) 182303. 0.227235
\(231\) −214514. 358261.i −0.264500 0.441742i
\(232\) −1.22202e6 −1.49060
\(233\) −347998. + 1.07103e6i −0.419939 + 1.29244i 0.487818 + 0.872945i \(0.337793\pi\)
−0.907757 + 0.419495i \(0.862207\pi\)
\(234\) −122343. 18309.4i −0.146063 0.0218592i
\(235\) 302383. + 219694.i 0.357180 + 0.259507i
\(236\) 823433. 267550.i 0.962384 0.312698i
\(237\) 121028. 104263.i 0.139963 0.120576i
\(238\) −7956.11 + 10950.6i −0.00910455 + 0.0125313i
\(239\) −935104. + 679393.i −1.05892 + 0.769354i −0.973889 0.227024i \(-0.927100\pi\)
−0.0850353 + 0.996378i \(0.527100\pi\)
\(240\) 65458.4 5432.55i 0.0733563 0.00608802i
\(241\) 678157.i 0.752121i −0.926595 0.376060i \(-0.877279\pi\)
0.926595 0.376060i \(-0.122721\pi\)
\(242\) −15434.0 + 530933.i −0.0169410 + 0.582775i
\(243\) −370298. 842715.i −0.402287 0.915514i
\(244\) 350016. + 113727.i 0.376369 + 0.122290i
\(245\) −311838. 429208.i −0.331905 0.456827i
\(246\) 671510. + 158191.i 0.707481 + 0.166665i
\(247\) −96327.3 296465.i −0.100463 0.309194i
\(248\) −147316. 453393.i −0.152097 0.468107i
\(249\) 709617. + 167168.i 0.725314 + 0.170866i
\(250\) 366793. + 504847.i 0.371168 + 0.510869i
\(251\) 336658. + 109387.i 0.337291 + 0.109592i 0.472765 0.881188i \(-0.343256\pi\)
−0.135474 + 0.990781i \(0.543256\pi\)
\(252\) −244321. 240190.i −0.242359 0.238261i
\(253\) −73370.2 511211.i −0.0720640 0.502110i
\(254\) 91653.0i 0.0891379i
\(255\) 41027.7 3404.99i 0.0395118 0.00327918i
\(256\) 786886. 571706.i 0.750433 0.545222i
\(257\) −849721. + 1.16954e6i −0.802498 + 1.10454i 0.189940 + 0.981796i \(0.439171\pi\)
−0.992438 + 0.122748i \(0.960829\pi\)
\(258\) 133124. 114684.i 0.124511 0.107264i
\(259\) −739835. + 240387.i −0.685307 + 0.222670i
\(260\) 113297. + 82315.4i 0.103941 + 0.0755175i
\(261\) 250860. 1.67624e6i 0.227945 1.52312i
\(262\) −22291.4 + 68605.9i −0.0200625 + 0.0617459i
\(263\) −63759.2 −0.0568399 −0.0284199 0.999596i \(-0.509048\pi\)
−0.0284199 + 0.999596i \(0.509048\pi\)
\(264\) 244908. + 1.06832e6i 0.216269 + 0.943394i
\(265\) −1.24709e6 −1.09089
\(266\) −137383. + 422822.i −0.119050 + 0.366398i
\(267\) −491000. 298014.i −0.421506 0.255834i
\(268\) 629862. + 457622.i 0.535684 + 0.389197i
\(269\) −831747. + 270251.i −0.700827 + 0.227712i −0.637691 0.770293i \(-0.720110\pi\)
−0.0631360 + 0.998005i \(0.520110\pi\)
\(270\) 35257.4 535450.i 0.0294334 0.447002i
\(271\) 569134. 783345.i 0.470751 0.647933i −0.505944 0.862566i \(-0.668856\pi\)
0.976695 + 0.214633i \(0.0688557\pi\)
\(272\) −4879.74 + 3545.34i −0.00399921 + 0.00290560i
\(273\) −13283.8 160060.i −0.0107873 0.129980i
\(274\) 522138.i 0.420155i
\(275\) 368487. 357931.i 0.293826 0.285409i
\(276\) −163826. 390790.i −0.129452 0.308795i
\(277\) −40100.0 13029.3i −0.0314011 0.0102028i 0.293274 0.956028i \(-0.405255\pi\)
−0.324675 + 0.945825i \(0.605255\pi\)
\(278\) 441444. + 607595.i 0.342581 + 0.471523i
\(279\) 652156. 108999.i 0.501581 0.0838323i
\(280\) −155224. 477730.i −0.118322 0.364156i
\(281\) −444465. 1.36792e6i −0.335793 1.03347i −0.966330 0.257306i \(-0.917165\pi\)
0.630537 0.776160i \(-0.282835\pi\)
\(282\) −102582. + 435456.i −0.0768158 + 0.326078i
\(283\) 1.35713e6 + 1.86793e6i 1.00729 + 1.38642i 0.920744 + 0.390168i \(0.127583\pi\)
0.0865467 + 0.996248i \(0.472417\pi\)
\(284\) 1.04197e6 + 338555.i 0.766581 + 0.249077i
\(285\) 1.24704e6 522780.i 0.909428 0.381248i
\(286\) −95384.4 + 180664.i −0.0689545 + 0.130604i
\(287\) 895705.i 0.641890i
\(288\) 665120. + 1.27831e6i 0.472518 + 0.908145i
\(289\) 1.14563e6 832349.i 0.806863 0.586220i
\(290\) 580774. 799367.i 0.405520 0.558150i
\(291\) 1.27744e6 + 1.48284e6i 0.884316 + 1.02651i
\(292\) −1.45946e6 + 474206.i −1.00169 + 0.325470i
\(293\) 334947. + 243353.i 0.227933 + 0.165603i 0.695890 0.718148i \(-0.255010\pi\)
−0.467958 + 0.883751i \(0.655010\pi\)
\(294\) 329483. 542848.i 0.222313 0.366277i
\(295\) −544056. + 1.67443e6i −0.363989 + 1.12024i
\(296\) 2.04184e6 1.35454
\(297\) −1.51569e6 + 116630.i −0.997053 + 0.0767222i
\(298\) −1.51910e6 −0.990933
\(299\) 61383.4 188919.i 0.0397075 0.122207i
\(300\) 218695. 360317.i 0.140293 0.231143i
\(301\) 184562. + 134092.i 0.117416 + 0.0853074i
\(302\) −935682. + 304022.i −0.590352 + 0.191817i
\(303\) 1.03690e6 + 1.20363e6i 0.648831 + 0.753158i
\(304\) −116447. + 160275.i −0.0722675 + 0.0994676i
\(305\) −605450. + 439885.i −0.372674 + 0.270763i
\(306\) 22744.6 + 43713.5i 0.0138859 + 0.0266877i
\(307\) 962836.i 0.583051i −0.956563 0.291525i \(-0.905837\pi\)
0.956563 0.291525i \(-0.0941628\pi\)
\(308\) −507830. + 249525.i −0.305029 + 0.149878i
\(309\) 2.54002e6 1.06482e6i 1.51336 0.634425i
\(310\) 366592. + 119113.i 0.216660 + 0.0703971i
\(311\) 56693.8 + 78032.3i 0.0332380 + 0.0457481i 0.825313 0.564676i \(-0.190999\pi\)
−0.792075 + 0.610424i \(0.790999\pi\)
\(312\) −96664.4 + 410334.i −0.0562186 + 0.238644i
\(313\) 319446. + 983153.i 0.184305 + 0.567232i 0.999936 0.0113409i \(-0.00361001\pi\)
−0.815631 + 0.578572i \(0.803610\pi\)
\(314\) −100452. 309159.i −0.0574956 0.176953i
\(315\) 687163. 114850.i 0.390197 0.0652159i
\(316\) −127231. 175119.i −0.0716764 0.0986541i
\(317\) −2.27509e6 739222.i −1.27160 0.413168i −0.405986 0.913879i \(-0.633072\pi\)
−0.865614 + 0.500712i \(0.833072\pi\)
\(318\) −577102. 1.37662e6i −0.320026 0.763389i
\(319\) −2.47531e6 1.30688e6i −1.36192 0.719049i
\(320\) 705214.i 0.384987i
\(321\) −125681. 1.51437e6i −0.0680782 0.820294i
\(322\) −229198. + 166522.i −0.123189 + 0.0895018i
\(323\) −72985.8 + 100456.i −0.0389253 + 0.0535761i
\(324\) −1.17949e6 + 405600.i −0.624210 + 0.214652i
\(325\) 187916. 61057.7i 0.0986861 0.0320651i
\(326\) −55225.6 40123.8i −0.0287804 0.0209102i
\(327\) −2.92908e6 1.77781e6i −1.51482 0.919425i
\(328\) 726508. 2.23596e6i 0.372869 1.14757i
\(329\) −580841. −0.295847
\(330\) −815220. 347524.i −0.412088 0.175671i
\(331\) −875794. −0.439372 −0.219686 0.975571i \(-0.570503\pi\)
−0.219686 + 0.975571i \(0.570503\pi\)
\(332\) 305269. 939520.i 0.151998 0.467801i
\(333\) −419154. + 2.80077e6i −0.207139 + 1.38410i
\(334\) 216617. + 157381.i 0.106249 + 0.0771946i
\(335\) −1.50568e6 + 489225.i −0.733029 + 0.238175i
\(336\) −77334.2 + 66621.9i −0.0373700 + 0.0321935i
\(337\) 2.21164e6 3.04407e6i 1.06082 1.46009i 0.181779 0.983339i \(-0.441815\pi\)
0.879039 0.476750i \(-0.158185\pi\)
\(338\) 927110. 673585.i 0.441407 0.320701i
\(339\) −2.22287e6 + 184481.i −1.05055 + 0.0871873i
\(340\) 55784.7i 0.0261709i
\(341\) 186474. 1.07593e6i 0.0868427 0.501069i
\(342\) 1.15416e6 + 1.13465e6i 0.533582 + 0.524560i
\(343\) 1.85105e6 + 601444.i 0.849540 + 0.276032i
\(344\) −351962. 484434.i −0.160361 0.220718i
\(345\) 838707. + 197578.i 0.379370 + 0.0893699i
\(346\) 74776.7 + 230139.i 0.0335796 + 0.103347i
\(347\) 1.11736e6 + 3.43888e6i 0.498161 + 1.53318i 0.811972 + 0.583696i \(0.198394\pi\)
−0.313811 + 0.949485i \(0.601606\pi\)
\(348\) −2.23545e6 526616.i −0.989503 0.233102i
\(349\) 1.57095e6 + 2.16222e6i 0.690396 + 0.950248i 1.00000 0.000617535i \(-0.000196567\pi\)
−0.309604 + 0.950866i \(0.600197\pi\)
\(350\) −268009. 87081.3i −0.116944 0.0379975i
\(351\) −543008. 216828.i −0.235255 0.0939394i
\(352\) 2.35565e6 338088.i 1.01334 0.145436i
\(353\) 2.70403e6i 1.15498i −0.816397 0.577491i \(-0.804032\pi\)
0.816397 0.577491i \(-0.195968\pi\)
\(354\) −2.10012e6 + 174294.i −0.890708 + 0.0739220i
\(355\) −1.80237e6 + 1.30950e6i −0.759054 + 0.551485i
\(356\) −457460. + 629639.i −0.191306 + 0.263310i
\(357\) −48471.1 + 41756.9i −0.0201286 + 0.0173404i
\(358\) −212347. + 68995.6i −0.0875665 + 0.0284521i
\(359\) 3.19453e6 + 2.32096e6i 1.30819 + 0.950456i 1.00000 0.000868475i \(-0.000276444\pi\)
0.308191 + 0.951325i \(0.400276\pi\)
\(360\) −1.80853e6 270658.i −0.735478 0.110069i
\(361\) −495135. + 1.52387e6i −0.199966 + 0.615431i
\(362\) −1.00112e6 −0.401526
\(363\) −646424. + 2.42589e6i −0.257484 + 0.966282i
\(364\) −217631. −0.0860928
\(365\) 964287. 2.96777e6i 0.378856 1.16600i
\(366\) −765753. 464776.i −0.298804 0.181360i
\(367\) −3.22194e6 2.34088e6i −1.24868 0.907222i −0.250540 0.968106i \(-0.580608\pi\)
−0.998145 + 0.0608840i \(0.980608\pi\)
\(368\) −120065. + 39011.5i −0.0462165 + 0.0150166i
\(369\) 2.91791e6 + 1.45555e6i 1.11559 + 0.556494i
\(370\) −970396. + 1.33563e6i −0.368506 + 0.507205i
\(371\) 1.56788e6 1.13913e6i 0.591395 0.429673i
\(372\) −74101.9 892876.i −0.0277634 0.334529i
\(373\) 2.11449e6i 0.786925i 0.919341 + 0.393462i \(0.128723\pi\)
−0.919341 + 0.393462i \(0.871277\pi\)
\(374\) 80554.4 11561.4i 0.0297790 0.00427395i
\(375\) 1.14032e6 + 2.72013e6i 0.418745 + 0.998876i
\(376\) 1.44996e6 + 471121.i 0.528916 + 0.171855i
\(377\) −632821. 871003.i −0.229312 0.315621i
\(378\) 444771. + 705390.i 0.160106 + 0.253922i
\(379\) −303951. 935464.i −0.108694 0.334525i 0.881886 0.471463i \(-0.156274\pi\)
−0.990580 + 0.136938i \(0.956274\pi\)
\(380\) −566196. 1.74257e6i −0.201144 0.619058i
\(381\) 99332.4 421660.i 0.0350573 0.148816i
\(382\) 1.26040e6 + 1.73480e6i 0.441927 + 0.608261i
\(383\) 3.88935e6 + 1.26373e6i 1.35482 + 0.440206i 0.894309 0.447450i \(-0.147668\pi\)
0.460507 + 0.887656i \(0.347668\pi\)
\(384\) 1.94959e6 817300.i 0.674707 0.282848i
\(385\) 196484. 1.13368e6i 0.0675579 0.389798i
\(386\) 1.90386e6i 0.650380i
\(387\) 736745. 383337.i 0.250058 0.130108i
\(388\) 2.14557e6 1.55885e6i 0.723541 0.525683i
\(389\) 141113. 194226.i 0.0472817 0.0650777i −0.784721 0.619849i \(-0.787194\pi\)
0.832003 + 0.554771i \(0.187194\pi\)
\(390\) −222473. 258245.i −0.0740655 0.0859747i
\(391\) −75253.7 + 24451.4i −0.0248935 + 0.00808839i
\(392\) −1.75073e6 1.27198e6i −0.575444 0.418084i
\(393\) −176908. + 291470.i −0.0577785 + 0.0951945i
\(394\) −422225. + 1.29947e6i −0.137026 + 0.421723i
\(395\) 440164. 0.141945
\(396\) −12369.4 + 2.05983e6i −0.00396380 + 0.660074i
\(397\) −176136. −0.0560882 −0.0280441 0.999607i \(-0.508928\pi\)
−0.0280441 + 0.999607i \(0.508928\pi\)
\(398\) 383006. 1.17877e6i 0.121199 0.373011i
\(399\) −1.09030e6 + 1.79634e6i −0.342856 + 0.564881i
\(400\) −101591. 73810.5i −0.0317473 0.0230658i
\(401\) 779035. 253124.i 0.241934 0.0786090i −0.185540 0.982637i \(-0.559404\pi\)
0.427474 + 0.904028i \(0.359404\pi\)
\(402\) −1.23681e6 1.43568e6i −0.381714 0.443090i
\(403\) 246871. 339788.i 0.0757193 0.104219i
\(404\) 1.74157e6 1.26532e6i 0.530868 0.385698i
\(405\) 742519. 2.42518e6i 0.224942 0.734695i
\(406\) 1.53549e6i 0.462308i
\(407\) 4.13590e6 + 2.18362e6i 1.23761 + 0.653417i
\(408\) 154868. 64923.4i 0.0460587 0.0193086i
\(409\) −3.37829e6 1.09767e6i −0.998594 0.324463i −0.236290 0.971683i \(-0.575932\pi\)
−0.762303 + 0.647220i \(0.775932\pi\)
\(410\) 1.11734e6 + 1.53789e6i 0.328266 + 0.451819i
\(411\) 565887. 2.40216e6i 0.165244 0.701450i
\(412\) −1.15325e6 3.54934e6i −0.334719 1.03016i
\(413\) −845476. 2.60211e6i −0.243908 0.750672i
\(414\) 170020. + 1.01725e6i 0.0487526 + 0.291694i
\(415\) 1.18075e6 + 1.62516e6i 0.336540 + 0.463208i
\(416\) 870532. + 282853.i 0.246633 + 0.0801359i
\(417\) 1.37241e6 + 3.27374e6i 0.386494 + 0.921943i
\(418\) 2.39897e6 1.17875e6i 0.671558 0.329974i
\(419\) 88856.3i 0.0247259i −0.999924 0.0123630i \(-0.996065\pi\)
0.999924 0.0123630i \(-0.00393536\pi\)
\(420\) −78079.7 940805.i −0.0215981 0.260241i
\(421\) 1.20189e6 873226.i 0.330491 0.240116i −0.410148 0.912019i \(-0.634523\pi\)
0.740639 + 0.671903i \(0.234523\pi\)
\(422\) −1.00783e6 + 1.38716e6i −0.275490 + 0.379179i
\(423\) −943884. + 1.89219e6i −0.256488 + 0.514177i
\(424\) −4.83787e6 + 1.57192e6i −1.30689 + 0.424634i
\(425\) −63675.0 46262.6i −0.0171000 0.0124239i
\(426\) −2.27958e6 1.38359e6i −0.608598 0.369390i
\(427\) 359386. 1.10608e6i 0.0953874 0.293572i
\(428\) −2.05907e6 −0.543326
\(429\) −634628. + 727787.i −0.166485 + 0.190924i
\(430\) 484156. 0.126274
\(431\) −2.21277e6 + 6.81020e6i −0.573777 + 1.76590i 0.0665310 + 0.997784i \(0.478807\pi\)
−0.640308 + 0.768119i \(0.721193\pi\)
\(432\) 91361.5 + 360192.i 0.0235534 + 0.0928591i
\(433\) −1.16756e6 848284.i −0.299268 0.217431i 0.428010 0.903774i \(-0.359215\pi\)
−0.727278 + 0.686343i \(0.759215\pi\)
\(434\) −569693. + 185105.i −0.145183 + 0.0471729i
\(435\) 3.53826e6 3.04814e6i 0.896533 0.772345i
\(436\) −2.72899e6 + 3.75614e6i −0.687521 + 0.946292i
\(437\) −2.10256e6 + 1.52760e6i −0.526677 + 0.382653i
\(438\) 3.72226e6 308919.i 0.927089 0.0769413i
\(439\) 3.23825e6i 0.801954i 0.916088 + 0.400977i \(0.131329\pi\)
−0.916088 + 0.400977i \(0.868671\pi\)
\(440\) −1.41002e6 + 2.67066e6i −0.347211 + 0.657638i
\(441\) 2.10415e6 2.14034e6i 0.515206 0.524067i
\(442\) 29769.0 + 9672.52i 0.00724783 + 0.00235496i
\(443\) −2.88825e6 3.97534e6i −0.699239 0.962420i −0.999962 0.00870834i \(-0.997228\pi\)
0.300723 0.953711i \(-0.402772\pi\)
\(444\) 3.73514e6 + 879905.i 0.899186 + 0.211826i
\(445\) −489052. 1.50515e6i −0.117073 0.360312i
\(446\) 1.10593e6 + 3.40371e6i 0.263264 + 0.810244i
\(447\) −6.98877e6 1.64638e6i −1.65437 0.389727i
\(448\) −644165. 886617.i −0.151636 0.208709i
\(449\) −5.72820e6 1.86121e6i −1.34092 0.435691i −0.451291 0.892377i \(-0.649036\pi\)
−0.889628 + 0.456686i \(0.849036\pi\)
\(450\) −719204. + 731573.i −0.167425 + 0.170305i
\(451\) 3.86282e6 3.75216e6i 0.894258 0.868641i
\(452\) 3.02240e6i 0.695835i
\(453\) −4.63420e6 + 384604.i −1.06103 + 0.0880578i
\(454\) 2.61892e6 1.90276e6i 0.596325 0.433256i
\(455\) 260122. 358028.i 0.0589046 0.0810752i
\(456\) 4.17874e6 3.59990e6i 0.941094 0.810734i
\(457\) 2.75445e6 894976.i 0.616943 0.200457i 0.0161604 0.999869i \(-0.494856\pi\)
0.600783 + 0.799412i \(0.294856\pi\)
\(458\) −2.95040e6 2.14359e6i −0.657231 0.477506i
\(459\) 57263.1 + 225759.i 0.0126865 + 0.0500165i
\(460\) 360801. 1.11043e6i 0.0795012 0.244679i
\(461\) −7.38752e6 −1.61900 −0.809500 0.587120i \(-0.800261\pi\)
−0.809500 + 0.587120i \(0.800261\pi\)
\(462\) 1.34236e6 307730.i 0.292593 0.0670757i
\(463\) −539443. −0.116948 −0.0584740 0.998289i \(-0.518623\pi\)
−0.0584740 + 0.998289i \(0.518623\pi\)
\(464\) −211439. + 650743.i −0.0455922 + 0.140318i
\(465\) 1.55745e6 + 945301.i 0.334028 + 0.202739i
\(466\) −3.00477e6 2.18309e6i −0.640983 0.465701i
\(467\) 3.51676e6 1.14267e6i 0.746193 0.242453i 0.0888504 0.996045i \(-0.471681\pi\)
0.657342 + 0.753592i \(0.271681\pi\)
\(468\) −353657. + 708969.i −0.0746392 + 0.149628i
\(469\) 1.44612e6 1.99041e6i 0.303579 0.417840i
\(470\) −997278. + 724565.i −0.208244 + 0.151298i
\(471\) −127077. 1.53119e6i −0.0263946 0.318036i
\(472\) 7.18144e6i 1.48374i
\(473\) −194855. 1.35766e6i −0.0400459 0.279022i
\(474\) 203690. + 485883.i 0.0416413 + 0.0993312i
\(475\) −2.45859e6 798845.i −0.499980 0.162453i
\(476\) 50955.6 + 70134.3i 0.0103080 + 0.0141877i
\(477\) −1.16306e6 6.95875e6i −0.234048 1.40034i
\(478\) −1.17800e6 3.62550e6i −0.235816 0.725769i
\(479\) 490503. + 1.50961e6i 0.0976794 + 0.300626i 0.987943 0.154820i \(-0.0494797\pi\)
−0.890263 + 0.455446i \(0.849480\pi\)
\(480\) −910435. + 3.86474e6i −0.180362 + 0.765626i
\(481\) 1.05736e6 + 1.45533e6i 0.208382 + 0.286813i
\(482\) 2.12714e6 + 691149.i 0.417041 + 0.135505i
\(483\) −1.23492e6 + 517701.i −0.240864 + 0.100974i
\(484\) 3.20343e6 + 1.14479e6i 0.621587 + 0.222133i
\(485\) 5.39291e6i 1.04104i
\(486\) 3.02069e6 302635.i 0.580117 0.0581203i
\(487\) −4.17014e6 + 3.02978e6i −0.796761 + 0.578880i −0.909962 0.414692i \(-0.863889\pi\)
0.113201 + 0.993572i \(0.463889\pi\)
\(488\) −1.79428e6 + 2.46961e6i −0.341068 + 0.469439i
\(489\) −210586. 244447.i −0.0398251 0.0462287i
\(490\) 1.66409e6 540694.i 0.313102 0.101733i
\(491\) 312167. + 226803.i 0.0584364 + 0.0424565i 0.616620 0.787261i \(-0.288502\pi\)
−0.558184 + 0.829717i \(0.688502\pi\)
\(492\) 2.29256e6 3.77717e6i 0.426981 0.703483i
\(493\) −132525. + 407870.i −0.0245573 + 0.0755795i
\(494\) 1.02808e6 0.189544
\(495\) −3.37387e6 2.48235e6i −0.618892 0.455355i
\(496\) −266927. −0.0487178
\(497\) 1.06986e6 3.29269e6i 0.194283 0.597942i
\(498\) −1.24756e6 + 2.05545e6i −0.225418 + 0.371393i
\(499\) −730334. 530618.i −0.131302 0.0953962i 0.520196 0.854047i \(-0.325859\pi\)
−0.651498 + 0.758651i \(0.725859\pi\)
\(500\) 3.80101e6 1.23502e6i 0.679946 0.220928i
\(501\) 826001. + 958817.i 0.147023 + 0.170664i
\(502\) −686216. + 944495.i −0.121535 + 0.167279i
\(503\) 2.99564e6 2.17646e6i 0.527922 0.383558i −0.291658 0.956523i \(-0.594207\pi\)
0.819580 + 0.572965i \(0.194207\pi\)
\(504\) 2.52097e6 1.31169e6i 0.442071 0.230014i
\(505\) 4.37745e6i 0.763823i
\(506\) 1.67827e6 + 290869.i 0.291396 + 0.0505034i
\(507\) 4.99529e6 2.09411e6i 0.863060 0.361809i
\(508\) −558269. 181393.i −0.0959808 0.0311861i
\(509\) −617505. 849923.i −0.105644 0.145407i 0.752921 0.658110i \(-0.228644\pi\)
−0.858566 + 0.512704i \(0.828644\pi\)
\(510\) −31133.5 + 132160.i −0.00530033 + 0.0224995i
\(511\) 1.49853e6 + 4.61199e6i 0.253870 + 0.781332i
\(512\) −349720. 1.07633e6i −0.0589583 0.181455i
\(513\) 4.08013e6 + 6.47093e6i 0.684511 + 1.08561i
\(514\) −2.80244e6 3.85723e6i −0.467873 0.643972i
\(515\) 7.21749e6 + 2.34511e6i 1.19914 + 0.389623i
\(516\) −435084. 1.03785e6i −0.0719364 0.171597i
\(517\) 2.43318e6 + 2.50493e6i 0.400357 + 0.412164i
\(518\) 2.56559e6i 0.420111i
\(519\) 94596.5 + 1.13982e6i 0.0154155 + 0.185746i
\(520\) −939744. + 682764.i −0.152406 + 0.110729i
\(521\) −909723. + 1.25213e6i −0.146830 + 0.202094i −0.876097 0.482135i \(-0.839861\pi\)
0.729267 + 0.684229i \(0.239861\pi\)
\(522\) 5.00211e6 + 2.49521e6i 0.803483 + 0.400804i
\(523\) 4.09185e6 1.32952e6i 0.654131 0.212540i 0.0368965 0.999319i \(-0.488253\pi\)
0.617235 + 0.786779i \(0.288253\pi\)
\(524\) 373769. + 271559.i 0.0594669 + 0.0432052i
\(525\) −1.13863e6 691091.i −0.180295 0.109430i
\(526\) 64980.7 199990.i 0.0102405 0.0315169i
\(527\) −167303. −0.0262408
\(528\) 611271. + 54428.7i 0.0954221 + 0.00849656i
\(529\) 4.78022e6 0.742692
\(530\) 1.27098e6 3.91167e6i 0.196539 0.604885i
\(531\) −9.85072e6 1.47422e6i −1.51611 0.226896i
\(532\) 2.30356e6 + 1.67364e6i 0.352875 + 0.256379i
\(533\) 1.96991e6 640063.i 0.300351 0.0975899i
\(534\) 1.43517e6 1.23637e6i 0.217796 0.187627i
\(535\) 2.46109e6 3.38740e6i 0.371743 0.511661i
\(536\) −5.22438e6 + 3.79574e6i −0.785458 + 0.570669i
\(537\) −1.05170e6 + 87283.2i −0.157383 + 0.0130616i
\(538\) 2.88433e6i 0.429624i
\(539\) −2.18593e6 4.44878e6i −0.324090 0.659582i
\(540\) −3.19171e6 1.27448e6i −0.471020 0.188082i
\(541\) −7.84180e6 2.54795e6i −1.15192 0.374282i −0.330054 0.943962i \(-0.607067\pi\)
−0.821866 + 0.569680i \(0.807067\pi\)
\(542\) 1.87704e6 + 2.58353e6i 0.274458 + 0.377759i
\(543\) −4.60575e6 1.08500e6i −0.670349 0.157917i
\(544\) −112671. 346767.i −0.0163236 0.0502389i
\(545\) −2.91746e6 8.97901e6i −0.420740 1.29490i
\(546\) 515590. + 121460.i 0.0740155 + 0.0174362i
\(547\) 4.47609e6 + 6.16081e6i 0.639633 + 0.880379i 0.998596 0.0529727i \(-0.0168696\pi\)
−0.358963 + 0.933352i \(0.616870\pi\)
\(548\) −3.18041e6 1.03338e6i −0.452409 0.146997i
\(549\) −3.01921e6 2.96817e6i −0.427526 0.420298i
\(550\) 747157. + 1.52060e6i 0.105319 + 0.214343i
\(551\) 1.40859e7i 1.97654i
\(552\) 3.50267e6 290695.i 0.489273 0.0406059i
\(553\) −553388. + 402060.i −0.0769515 + 0.0559085i
\(554\) 81736.6 112501.i 0.0113147 0.0155733i
\(555\) −5.91196e6 + 5.09303e6i −0.814702 + 0.701850i
\(556\) 4.57461e6 1.48638e6i 0.627577 0.203912i
\(557\) 6.77355e6 + 4.92127e6i 0.925077 + 0.672108i 0.944783 0.327698i \(-0.106273\pi\)
−0.0197051 + 0.999806i \(0.506273\pi\)
\(558\) −322760. + 2.15667e6i −0.0438828 + 0.293223i
\(559\) 163020. 501725.i 0.0220654 0.0679104i
\(560\) −281255. −0.0378992
\(561\) 383129. + 34114.5i 0.0513971 + 0.00457649i
\(562\) 4.74368e6 0.633540
\(563\) 1.99413e6 6.13729e6i 0.265144 0.816030i −0.726516 0.687149i \(-0.758862\pi\)
0.991660 0.128880i \(-0.0411382\pi\)
\(564\) 2.44939e6 + 1.48666e6i 0.324236 + 0.196796i
\(565\) −4.97220e6 3.61251e6i −0.655281 0.476089i
\(566\) −7.24216e6 + 2.35312e6i −0.950226 + 0.308747i
\(567\) 1.28172e6 + 3.72726e6i 0.167431 + 0.486892i
\(568\) −5.34141e6 + 7.35181e6i −0.694680 + 0.956145i
\(569\) 1.85632e6 1.34870e6i 0.240365 0.174636i −0.461081 0.887358i \(-0.652538\pi\)
0.701446 + 0.712723i \(0.252538\pi\)
\(570\) 368845. + 4.44432e6i 0.0475507 + 0.572952i
\(571\) 6.81659e6i 0.874938i −0.899234 0.437469i \(-0.855875\pi\)
0.899234 0.437469i \(-0.144125\pi\)
\(572\) 911668. + 938555.i 0.116506 + 0.119942i
\(573\) 3.91847e6 + 9.34713e6i 0.498575 + 1.18930i
\(574\) −2.80951e6 912866.i −0.355919 0.115645i
\(575\) −968279. 1.33272e6i −0.122132 0.168101i
\(576\) −3.93509e6 + 657696.i −0.494195 + 0.0825978i
\(577\) 57163.4 + 175931.i 0.00714791 + 0.0219990i 0.954567 0.297997i \(-0.0963185\pi\)
−0.947419 + 0.319996i \(0.896318\pi\)
\(578\) 1.44321e6 + 4.44173e6i 0.179684 + 0.553010i
\(579\) 2.06338e6 8.75892e6i 0.255790 1.08581i
\(580\) −3.71962e6 5.11961e6i −0.459122 0.631927i
\(581\) −2.96895e6 964670.i −0.364890 0.118560i
\(582\) −5.95307e6 + 2.49562e6i −0.728506 + 0.305402i
\(583\) −1.14805e7 1.98975e6i −1.39891 0.242453i
\(584\) 1.27284e7i 1.54434i
\(585\) −743629. 1.42920e6i −0.0898393 0.172664i
\(586\) −1.10468e6 + 802594.i −0.132890 + 0.0965499i
\(587\) 9.41513e6 1.29588e7i 1.12780 1.55228i 0.335612 0.942000i \(-0.391057\pi\)
0.792185 0.610280i \(-0.208943\pi\)
\(588\) −2.65446e6 3.08128e6i −0.316616 0.367526i
\(589\) −5.22611e6 + 1.69807e6i −0.620713 + 0.201682i
\(590\) −4.69762e6 3.41302e6i −0.555582 0.403654i
\(591\) −3.35084e6 + 5.52077e6i −0.394626 + 0.650176i
\(592\) 353287. 1.08731e6i 0.0414308 0.127511i
\(593\) 1.03545e7 1.20918 0.604591 0.796536i \(-0.293336\pi\)
0.604591 + 0.796536i \(0.293336\pi\)
\(594\) 1.17890e6 4.87304e6i 0.137091 0.566674i
\(595\) −176284. −0.0204136
\(596\) −3.00648e6 + 9.25300e6i −0.346691 + 1.06701i
\(597\) 3.03960e6 5.00797e6i 0.349044 0.575077i
\(598\) 530012. + 385076.i 0.0606084 + 0.0440346i
\(599\) −2.36085e6 + 767086.i −0.268844 + 0.0873528i −0.440337 0.897833i \(-0.645141\pi\)
0.171493 + 0.985185i \(0.445141\pi\)
\(600\) 2.28182e6 + 2.64872e6i 0.258764 + 0.300371i
\(601\) 5.18786e6 7.14047e6i 0.585871 0.806382i −0.408453 0.912779i \(-0.633932\pi\)
0.994324 + 0.106398i \(0.0339316\pi\)
\(602\) −608697. + 442244.i −0.0684558 + 0.0497360i
\(603\) −4.13411e6 7.94544e6i −0.463008 0.889866i
\(604\) 6.30105e6i 0.702782i
\(605\) −5.71221e6 + 3.90170e6i −0.634476 + 0.433377i
\(606\) −4.83213e6 + 2.02571e6i −0.534511 + 0.224076i
\(607\) −1.02006e6 331438.i −0.112371 0.0365116i 0.252292 0.967651i \(-0.418816\pi\)
−0.364663 + 0.931140i \(0.618816\pi\)
\(608\) −7.03913e6 9.68853e6i −0.772253 1.06292i
\(609\) −1.66414e6 + 7.06418e6i −0.181822 + 0.771825i
\(610\) −762715. 2.34740e6i −0.0829923 0.255424i
\(611\) 415064. + 1.27744e6i 0.0449792 + 0.138432i
\(612\) 311279. 52025.9i 0.0335947 0.00561489i
\(613\) 862160. + 1.18666e6i 0.0926694 + 0.127549i 0.852834 0.522182i \(-0.174882\pi\)
−0.760165 + 0.649730i \(0.774882\pi\)
\(614\) 3.02008e6 + 981283.i 0.323294 + 0.105045i
\(615\) 3.47370e6 + 8.28618e6i 0.370344 + 0.883418i
\(616\) −666747. 4.64560e6i −0.0707961 0.493276i
\(617\) 4.28685e6i 0.453342i −0.973971 0.226671i \(-0.927216\pi\)
0.973971 0.226671i \(-0.0727842\pi\)
\(618\) 751279. + 9.05238e6i 0.0791280 + 0.953436i
\(619\) 5.60756e6 4.07413e6i 0.588230 0.427374i −0.253452 0.967348i \(-0.581566\pi\)
0.841682 + 0.539974i \(0.181566\pi\)
\(620\) 1.45106e6 1.99722e6i 0.151603 0.208663i
\(621\) −320293. + 4.86425e6i −0.0333287 + 0.506159i
\(622\) −302540. + 98301.1i −0.0313550 + 0.0101878i
\(623\) 1.98970e6 + 1.44560e6i 0.205385 + 0.149221i
\(624\) 201783. + 122473.i 0.0207455 + 0.0125915i
\(625\) −1.27525e6 + 3.92481e6i −0.130586 + 0.401901i
\(626\) −3.40937e6 −0.347727
\(627\) 1.23142e7 2.82298e6i 1.25095 0.286773i
\(628\) −2.08193e6 −0.210653
\(629\) 221431. 681496.i 0.0223158 0.0686810i
\(630\) −340085. + 2.27244e6i −0.0341379 + 0.228108i
\(631\) 8.02071e6 + 5.82739e6i 0.801936 + 0.582640i 0.911481 0.411341i \(-0.134940\pi\)
−0.109546 + 0.993982i \(0.534940\pi\)
\(632\) 1.70754e6 554814.i 0.170051 0.0552528i
\(633\) −6.14001e6 + 5.28949e6i −0.609059 + 0.524692i
\(634\) 4.63736e6 6.38277e6i 0.458192 0.630647i
\(635\) 965681. 701609.i 0.0950385 0.0690495i
\(636\) −9.52732e6 + 790695.i −0.933959 + 0.0775115i
\(637\) 1.90653e6i 0.186163i
\(638\) 6.62195e6 6.43225e6i 0.644071 0.625620i
\(639\) −8.98792e6 8.83596e6i −0.870777 0.856055i
\(640\) 5.53977e6 + 1.79998e6i 0.534616 + 0.173707i
\(641\) 1.02647e7 + 1.41282e7i 0.986737 + 1.35813i 0.933120 + 0.359565i \(0.117075\pi\)
0.0536166 + 0.998562i \(0.482925\pi\)
\(642\) 4.87814e6 + 1.14917e6i 0.467107 + 0.110039i
\(643\) 3.74542e6 + 1.15272e7i 0.357250 + 1.09950i 0.954693 + 0.297592i \(0.0961834\pi\)
−0.597443 + 0.801911i \(0.703817\pi\)
\(644\) 560694. + 1.72564e6i 0.0532735 + 0.163959i
\(645\) 2.22741e6 + 524723.i 0.210815 + 0.0496627i
\(646\) −240712. 331312.i −0.0226943 0.0312360i
\(647\) −255495. 83015.3i −0.0239950 0.00779646i 0.296995 0.954879i \(-0.404016\pi\)
−0.320990 + 0.947083i \(0.604016\pi\)
\(648\) −176396. 1.03440e7i −0.0165026 0.967725i
\(649\) −7.68010e6 + 1.45466e7i −0.715740 + 1.35565i
\(650\) 651655.i 0.0604971i
\(651\) −2.82155e6 + 234167.i −0.260937 + 0.0216558i
\(652\) −353697. + 256976.i −0.0325846 + 0.0236741i
\(653\) 2.78584e6 3.83438e6i 0.255666 0.351895i −0.661819 0.749663i \(-0.730215\pi\)
0.917486 + 0.397769i \(0.130215\pi\)
\(654\) 8.56157e6 7.37562e6i 0.782724 0.674301i
\(655\) −893493. + 290313.i −0.0813744 + 0.0264401i
\(656\) −1.06497e6 773750.i −0.0966228 0.0702006i
\(657\) 1.74595e7 + 2.61292e6i 1.57804 + 0.236164i
\(658\) 591969. 1.82189e6i 0.0533009 0.164043i
\(659\) 1.07295e7 0.962425 0.481212 0.876604i \(-0.340197\pi\)
0.481212 + 0.876604i \(0.340197\pi\)
\(660\) −3.73024e6 + 4.27781e6i −0.333332 + 0.382263i
\(661\) −1.60341e6 −0.142738 −0.0713690 0.997450i \(-0.522737\pi\)
−0.0713690 + 0.997450i \(0.522737\pi\)
\(662\) 892574. 2.74706e6i 0.0791588 0.243626i
\(663\) 126472. + 76762.8i 0.0111741 + 0.00678214i
\(664\) 6.62898e6 + 4.81624e6i 0.583481 + 0.423924i
\(665\) −5.50665e6 + 1.78922e6i −0.482873 + 0.156895i
\(666\) −8.35785e6 4.16917e6i −0.730145 0.364220i
\(667\) −5.27599e6 + 7.26178e6i −0.459187 + 0.632017i
\(668\) 1.38734e6 1.00796e6i 0.120293 0.0873983i
\(669\) 1.39907e6 + 1.68578e7i 0.120857 + 1.45624i
\(670\) 5.22139e6i 0.449365i
\(671\) −6.27555e6 + 3.08353e6i −0.538078 + 0.264388i
\(672\) −2.38555e6 5.69049e6i −0.203782 0.486101i
\(673\) 1.19036e7 + 3.86771e6i 1.01307 + 0.329167i 0.768077 0.640358i \(-0.221214\pi\)
0.244995 + 0.969524i \(0.421214\pi\)
\(674\) 7.29415e6 + 1.00395e7i 0.618479 + 0.851264i
\(675\) −4.10165e6 + 2.58622e6i −0.346496 + 0.218477i
\(676\) −2.26802e6 6.98025e6i −0.190889 0.587495i
\(677\) 2.61432e6 + 8.04604e6i 0.219223 + 0.674699i 0.998827 + 0.0484262i \(0.0154206\pi\)
−0.779604 + 0.626273i \(0.784579\pi\)
\(678\) 1.68681e6 7.16038e6i 0.140926 0.598221i
\(679\) −4.92606e6 6.78015e6i −0.410039 0.564371i
\(680\) 440059. + 142984.i 0.0364955 + 0.0118581i
\(681\) 1.41108e7 5.91550e6i 1.16596 0.488791i
\(682\) 3.18476e6 + 1.68145e6i 0.262190 + 0.138427i
\(683\) 1.53241e7i 1.25697i −0.777823 0.628484i \(-0.783676\pi\)
0.777823 0.628484i \(-0.216324\pi\)
\(684\) 9.19550e6 4.78453e6i 0.751511 0.391020i
\(685\) 5.50140e6 3.99700e6i 0.447968 0.325468i
\(686\) −3.77304e6 + 5.19314e6i −0.306112 + 0.421327i
\(687\) −1.12505e7 1.30595e7i −0.909449 1.05568i
\(688\) −318865. + 103606.i −0.0256824 + 0.00834472i
\(689\) −3.62566e6 2.63420e6i −0.290964 0.211398i
\(690\) −1.47451e6 + 2.42936e6i −0.117903 + 0.194254i
\(691\) 586069. 1.80374e6i 0.0466932 0.143707i −0.924992 0.379987i \(-0.875928\pi\)
0.971685 + 0.236280i \(0.0759284\pi\)
\(692\) 1.54980e6 0.123030
\(693\) 6.50920e6 + 39088.3i 0.514866 + 0.00309181i
\(694\) −1.19253e7 −0.939879
\(695\) −3.02252e6 + 9.30235e6i −0.237360 + 0.730518i
\(696\) 9.88399e6 1.62846e7i 0.773409 1.27425i
\(697\) −667499. 484967.i −0.0520438 0.0378120i
\(698\) −8.38318e6 + 2.72386e6i −0.651284 + 0.211615i
\(699\) −1.14578e7 1.33001e7i −0.886966 1.02958i
\(700\) −1.06085e6 + 1.46013e6i −0.0818290 + 0.112628i
\(701\) −1.05589e7 + 7.67151e6i −0.811568 + 0.589639i −0.914285 0.405072i \(-0.867246\pi\)
0.102717 + 0.994711i \(0.467246\pi\)
\(702\) 1.23353e6 1.48224e6i 0.0944725 0.113521i
\(703\) 2.35356e7i 1.79613i
\(704\) −1.12518e6 + 6.49212e6i −0.0855640 + 0.493691i
\(705\) −5.37336e6 + 2.25260e6i −0.407168 + 0.170692i
\(706\) 8.48159e6 + 2.75584e6i 0.640421 + 0.208085i
\(707\) −3.99851e6 5.50347e6i −0.300850 0.414084i
\(708\) −3.09475e6 + 1.31370e7i −0.232029 + 0.984949i
\(709\) 1.69994e6 + 5.23188e6i 0.127004 + 0.390879i 0.994261 0.106982i \(-0.0341188\pi\)
−0.867257 + 0.497861i \(0.834119\pi\)
\(710\) −2.27053e6 6.98798e6i −0.169037 0.520243i
\(711\) 410505. + 2.45611e6i 0.0304540 + 0.182211i
\(712\) −3.79439e6 5.22253e6i −0.280506 0.386083i
\(713\) −3.33028e6 1.08207e6i −0.245333 0.0797136i
\(714\) −81577.0 194594.i −0.00598856 0.0142851i
\(715\) −2.63370e6 + 377995.i −0.192664 + 0.0276516i
\(716\) 1.42998e6i 0.104243i
\(717\) −1.49023e6 1.79562e7i −0.108257 1.30442i
\(718\) −1.05358e7 + 7.65469e6i −0.762703 + 0.554136i
\(719\) −1.49201e7 + 2.05358e7i −1.07634 + 1.48146i −0.212855 + 0.977084i \(0.568276\pi\)
−0.863486 + 0.504373i \(0.831724\pi\)
\(720\) −457048. + 916235.i −0.0328572 + 0.0658682i
\(721\) −1.12162e7 + 3.64435e6i −0.803538 + 0.261085i
\(722\) −4.27522e6 3.10613e6i −0.305222 0.221757i
\(723\) 9.03708e6 + 5.48508e6i 0.642958 + 0.390245i
\(724\) −1.98134e6 + 6.09793e6i −0.140479 + 0.432350i
\(725\) −8.92843e6 −0.630856
\(726\) −6.95035e6 4.49997e6i −0.489401 0.316860i
\(727\) 581464. 0.0408025 0.0204012 0.999792i \(-0.493506\pi\)
0.0204012 + 0.999792i \(0.493506\pi\)
\(728\) 557818. 1.71679e6i 0.0390089 0.120057i
\(729\) 1.42250e7 + 1.88149e6i 0.991366 + 0.131124i
\(730\) 8.32609e6 + 6.04926e6i 0.578274 + 0.420141i
\(731\) −199857. + 64937.4i −0.0138333 + 0.00449470i
\(732\) −4.34653e6 + 3.74445e6i −0.299823 + 0.258291i
\(733\) −505342. + 695544.i −0.0347397 + 0.0478151i −0.826034 0.563621i \(-0.809408\pi\)
0.791294 + 0.611436i \(0.209408\pi\)
\(734\) 1.06262e7 7.72037e6i 0.728010 0.528930i
\(735\) 8.24180e6 684007.i 0.562735 0.0467027i
\(736\) 7.63136e6i 0.519287i
\(737\) −1.46417e7 + 2.10141e6i −0.992940 + 0.142509i
\(738\) −7.53936e6 + 7.66902e6i −0.509558 + 0.518321i
\(739\) 2.47301e7 + 8.03530e6i 1.66577 + 0.541241i 0.982069 0.188521i \(-0.0603695\pi\)
0.683700 + 0.729763i \(0.260369\pi\)
\(740\) 6.21498e6 + 8.55419e6i 0.417216 + 0.574248i
\(741\) 4.72979e6 + 1.11422e6i 0.316444 + 0.0745462i
\(742\) 1.97513e6 + 6.07884e6i 0.131700 + 0.405332i
\(743\) −2.14598e6 6.60464e6i −0.142611 0.438912i 0.854085 0.520134i \(-0.174118\pi\)
−0.996696 + 0.0812217i \(0.974118\pi\)
\(744\) 7.23341e6 + 1.70401e6i 0.479083 + 0.112860i
\(745\) −1.16288e7 1.60056e7i −0.767614 1.05653i
\(746\) −6.63241e6 2.15500e6i −0.436339 0.141775i
\(747\) −7.96721e6 + 8.10423e6i −0.522402 + 0.531386i
\(748\) 89005.6 513548.i 0.00581652 0.0335604i
\(749\) 6.50679e6i 0.423801i
\(750\) −9.69426e6 + 804550.i −0.629306 + 0.0522276i
\(751\) −1.22373e7 + 8.89089e6i −0.791743 + 0.575235i −0.908480 0.417928i \(-0.862756\pi\)
0.116737 + 0.993163i \(0.462756\pi\)
\(752\) 501756. 690608.i 0.0323555 0.0445335i
\(753\) −4.18064e6 + 3.60154e6i −0.268693 + 0.231473i
\(754\) 3.37698e6 1.09725e6i 0.216322 0.0702871i
\(755\) −1.03660e7 7.53131e6i −0.661823 0.480843i
\(756\) 5.17687e6 1.31310e6i 0.329430 0.0835588i
\(757\) 3.88222e6 1.19482e7i 0.246230 0.757817i −0.749202 0.662341i \(-0.769563\pi\)
0.995432 0.0954755i \(-0.0304372\pi\)
\(758\) 3.24399e6 0.205072
\(759\) 7.40580e6 + 3.15706e6i 0.466625 + 0.198920i
\(760\) 1.51976e7 0.954420
\(761\) −1.67326e6 + 5.14975e6i −0.104737 + 0.322348i −0.989669 0.143373i \(-0.954205\pi\)
0.884932 + 0.465721i \(0.154205\pi\)
\(762\) 1.22136e6 + 741309.i 0.0762004 + 0.0462500i
\(763\) 1.18697e7 + 8.62381e6i 0.738119 + 0.536275i
\(764\) 1.30613e7 4.24389e6i 0.809570 0.263045i
\(765\) −286466. + 574273.i −0.0176978 + 0.0354785i
\(766\) −7.92773e6 + 1.09116e7i −0.488177 + 0.671918i
\(767\) −5.11861e6 + 3.71889e6i −0.314169 + 0.228257i
\(768\) 1.25402e6 + 1.51101e7i 0.0767189 + 0.924408i