Properties

Label 33.6.f.a.2.11
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 2.11
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.11

$q$-expansion

\(f(q)\) \(=\) \(q+(1.01916 - 3.13665i) q^{2} +(-15.1731 + 3.57441i) q^{3} +(17.0887 + 12.4156i) q^{4} +(40.8503 - 13.2731i) q^{5} +(-4.25217 + 51.2356i) q^{6} +(39.2343 - 54.0014i) q^{7} +(141.742 - 102.981i) q^{8} +(217.447 - 108.470i) q^{9} +O(q^{10})\) \(q+(1.01916 - 3.13665i) q^{2} +(-15.1731 + 3.57441i) q^{3} +(17.0887 + 12.4156i) q^{4} +(40.8503 - 13.2731i) q^{5} +(-4.25217 + 51.2356i) q^{6} +(39.2343 - 54.0014i) q^{7} +(141.742 - 102.981i) q^{8} +(217.447 - 108.470i) 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} +(-572.384 + 347.410i) q^{15} +(30.3142 + 93.2975i) q^{16} +(-19.0002 - 58.4765i) q^{17} +(-118.618 - 792.603i) 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} +(-1782.57 + 2069.19i) q^{24} +(-1035.60 + 752.410i) q^{25} +(-299.227 + 411.851i) q^{26} +(-2911.64 + 2423.07i) q^{27} +(1340.92 - 435.693i) q^{28} +(-5642.83 - 4099.76i) q^{29} +(506.352 + 2149.43i) q^{30} +(-840.834 + 2587.82i) q^{31} +5930.01 q^{32} +(-5823.60 + 2284.97i) q^{33} -202.785 q^{34} +(885.970 - 2726.73i) q^{35} +(5062.61 + 846.144i) q^{36} +(-9428.42 - 6850.15i) q^{37} +(6334.47 - 2058.19i) q^{38} +(2397.92 + 199.009i) q^{39} +(4423.32 - 6088.17i) q^{40} +(10856.1 - 7887.45i) q^{41} +(2599.96 + 2239.82i) 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} +(-793.444 - 1307.26i) q^{48} +(3816.83 + 11747.0i) q^{49} +(1304.60 + 4015.15i) q^{50} +(497.311 + 819.357i) 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} +(-23850.9 - 20547.1i) q^{57} +(-18610.4 + 13521.3i) q^{58} +(-24093.0 + 33161.1i) q^{59} +(-14094.6 - 1169.74i) q^{60} +(16570.6 - 5384.11i) q^{61} +(7260.14 + 5274.80i) q^{62} +(2673.87 - 15998.2i) q^{63} +(5073.57 - 15614.8i) q^{64} -6629.97 q^{65} +(1231.96 + 20595.3i) q^{66} +36858.5 q^{67} +(401.336 - 1235.19i) q^{68} +(4599.92 + 19526.3i) q^{69} +(-7649.86 - 5557.95i) q^{70} +(-49329.1 + 16028.0i) q^{71} +(19651.0 - 37767.7i) q^{72} +(-42702.5 + 58774.9i) q^{73} +(-31095.6 + 22592.3i) q^{74} +(13023.9 - 15118.1i) 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} +(35517.6 - 47172.9i) q^{81} +(-13676.0 - 42090.5i) q^{82} +(14452.1 + 44479.1i) q^{83} +(-18788.7 + 11403.8i) 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} +(-15365.9 - 30803.7i) q^{90} +(-8335.42 + 6056.04i) q^{91} +(15977.7 - 21991.5i) q^{92} +(3508.16 - 42270.8i) q^{93} +(27294.5 - 8868.53i) q^{94} +(70176.4 + 50986.2i) q^{95} +(-89976.8 + 21196.3i) q^{96} +(38798.6 - 119410. i) q^{97} +40736.1 q^{98} +(80194.8 - 55486.0i) 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 −0.819668 0.572839i \(-0.805842\pi\)
0.999832 + 0.0183525i \(0.00584210\pi\)
\(3\) −15.1731 + 3.57441i −0.973356 + 0.229298i
\(4\) 17.0887 + 12.4156i 0.534021 + 0.387989i
\(5\) 40.8503 13.2731i 0.730753 0.237436i 0.0800739 0.996789i \(-0.474484\pi\)
0.650679 + 0.759353i \(0.274484\pi\)
\(6\) −4.25217 + 51.2356i −0.0482206 + 0.581024i
\(7\) 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
\(9\) 217.447 108.470i 0.894845 0.446378i
\(10\) 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
\(15\) −572.384 + 347.410i −0.656839 + 0.398670i
\(16\) 30.3142 + 93.2975i 0.0296037 + 0.0911109i
\(17\) −19.0002 58.4765i −0.0159454 0.0490749i 0.942767 0.333452i \(-0.108213\pi\)
−0.958713 + 0.284377i \(0.908213\pi\)
\(18\) −118.618 792.603i −0.0862919 0.576600i
\(19\) 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 \(-0.918376\pi\)
0.967302 0.253628i \(-0.0816238\pi\)
\(24\) −1782.57 + 2069.19i −0.631710 + 0.733285i
\(25\) −1035.60 + 752.410i −0.331393 + 0.240771i
\(26\) −299.227 + 411.851i −0.0868095 + 0.119483i
\(27\) −2911.64 + 2423.07i −0.768649 + 0.639671i
\(28\) 1340.92 435.693i 0.323228 0.105023i
\(29\) −5642.83 4099.76i −1.24595 0.905239i −0.247975 0.968767i \(-0.579765\pi\)
−0.997980 + 0.0635274i \(0.979765\pi\)
\(30\) 506.352 + 2149.43i 0.102719 + 0.436034i
\(31\) −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
\(33\) −5823.60 + 2284.97i −0.930908 + 0.365254i
\(34\) −202.785 −0.0300841
\(35\) 885.970 2726.73i 0.122250 0.376247i
\(36\) 5062.61 + 846.144i 0.651055 + 0.108815i
\(37\) −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
\(39\) 2397.92 + 199.009i 0.252449 + 0.0209514i
\(40\) 4423.32 6088.17i 0.437117 0.601640i
\(41\) 10856.1 7887.45i 1.00859 0.732786i 0.0446794 0.999001i \(-0.485773\pi\)
0.963913 + 0.266216i \(0.0857734\pi\)
\(42\) 2599.96 + 2239.82i 0.227428 + 0.195925i
\(43\) 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 0.943780 0.330574i \(-0.107242\pi\)
−0.606039 + 0.795435i \(0.707242\pi\)
\(48\) −793.444 1307.26i −0.0497065 0.0818952i
\(49\) 3816.83 + 11747.0i 0.227098 + 0.698935i
\(50\) 1304.60 + 4015.15i 0.0737993 + 0.227131i
\(51\) 497.311 + 819.357i 0.0267733 + 0.0441111i
\(52\) −1916.42 2637.73i −0.0982841 0.135277i
\(53\) −27613.0 8972.01i −1.35028 0.438733i −0.457494 0.889213i \(-0.651253\pi\)
−0.892787 + 0.450480i \(0.851253\pi\)
\(54\) 4632.90 + 11602.3i 0.216206 + 0.541451i
\(55\) 15470.7 7601.61i 0.689609 0.338843i
\(56\) 11694.7i 0.498330i
\(57\) −23850.9 20547.1i −0.972339 0.837651i
\(58\) −18610.4 + 13521.3i −0.726418 + 0.527774i
\(59\) −24093.0 + 33161.1i −0.901074 + 1.24022i 0.0690507 + 0.997613i \(0.478003\pi\)
−0.970124 + 0.242608i \(0.921997\pi\)
\(60\) −14094.6 1169.74i −0.505445 0.0419481i
\(61\) 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
\(63\) 2673.87 15998.2i 0.0848769 0.507831i
\(64\) 5073.57 15614.8i 0.154833 0.476527i
\(65\) −6629.97 −0.194638
\(66\) 1231.96 + 20595.3i 0.0348127 + 0.581981i
\(67\) 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
\(69\) 4599.92 + 19526.3i 0.116313 + 0.493740i
\(70\) −7649.86 5557.95i −0.186599 0.135572i
\(71\) −49329.1 + 16028.0i −1.16133 + 0.377340i −0.825402 0.564546i \(-0.809051\pi\)
−0.335932 + 0.941886i \(0.609051\pi\)
\(72\) 19651.0 37767.7i 0.446738 0.858597i
\(73\) −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
\(75\) 13023.9 15118.1i 0.267355 0.310344i
\(76\) 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
\(81\) 35517.6 47172.9i 0.601494 0.798877i
\(82\) −13676.0 42090.5i −0.224608 0.691272i
\(83\) 14452.1 + 44479.1i 0.230270 + 0.708697i 0.997714 + 0.0675810i \(0.0215281\pi\)
−0.767444 + 0.641116i \(0.778472\pi\)
\(84\) −18788.7 + 11403.8i −0.290534 + 0.176341i
\(85\) −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 \(-0.920708\pi\)
0.969134 0.246535i \(-0.0792920\pi\)
\(90\) −15365.9 30803.7i −0.199964 0.400863i
\(91\) −8335.42 + 6056.04i −0.105517 + 0.0766629i
\(92\) 15977.7 21991.5i 0.196809 0.270885i
\(93\) 3508.16 42270.8i 0.0420602 0.506796i
\(94\) 27294.5 8868.53i 0.318608 0.103522i
\(95\) 70176.4 + 50986.2i 0.797778 + 0.579620i
\(96\) −89976.8 + 21196.3i −0.996443 + 0.234737i
\(97\) 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
\(99\) 80194.8 55486.0i 0.822353 0.568978i
\(100\) −27038.7 −0.270387
\(101\) −31493.0 + 96925.6i −0.307193 + 0.945442i 0.671657 + 0.740862i \(0.265583\pi\)
−0.978850 + 0.204580i \(0.934417\pi\)
\(102\) 3076.87 724.834i 0.0292826 0.00689824i
\(103\) −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
\(105\) −3696.47 + 44539.9i −0.0327201 + 0.394254i
\(106\) −56284.1 + 77468.4i −0.486543 + 0.669669i
\(107\) 78863.7 57297.9i 0.665914 0.483815i −0.202741 0.979232i \(-0.564985\pi\)
0.868655 + 0.495418i \(0.164985\pi\)
\(108\) −79840.0 + 5257.16i −0.658660 + 0.0433703i
\(109\) 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 0.377707 0.925925i \(-0.376713\pi\)
−0.997325 + 0.0730939i \(0.976713\pi\)
\(114\) −88756.8 + 53871.2i −0.639646 + 0.388235i
\(115\) −17081.2 52570.4i −0.120441 0.370678i
\(116\) −45527.4 140119.i −0.314143 0.966833i
\(117\) −37095.3 + 5551.55i −0.250527 + 0.0374930i
\(118\) 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
\(123\) −136529. + 158481.i −0.813694 + 0.944530i
\(124\) −46498.2 + 33782.9i −0.271570 + 0.197307i
\(125\) −111214. + 153074.i −0.636629 + 0.876244i
\(126\) −47455.6 24691.7i −0.266294 0.138556i
\(127\) −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
\(129\) −12216.3 51857.5i −0.0646348 0.274371i
\(130\) −6757.00 + 20795.9i −0.0350667 + 0.107924i
\(131\) −21872.3 −0.111357 −0.0556784 0.998449i \(-0.517732\pi\)
−0.0556784 + 0.998449i \(0.517732\pi\)
\(132\) −127887. 33256.7i −0.638839 0.166129i
\(133\) 134801. 0.660788
\(134\) 37564.6 115612.i 0.180725 0.556213i
\(135\) −86779.8 + 137630.i −0.409812 + 0.649946i
\(136\) −8715.11 6331.90i −0.0404041 0.0293553i
\(137\) 150568. 48922.5i 0.685379 0.222693i 0.0544304 0.998518i \(-0.482666\pi\)
0.630949 + 0.775824i \(0.282666\pi\)
\(138\) 65935.3 + 5472.13i 0.294727 + 0.0244601i
\(139\) 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
\(141\) −102771. 88535.2i −0.435334 0.375032i
\(142\) 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
\(147\) −99901.7 164596.i −0.381311 0.628239i
\(148\) −76070.1 234120.i −0.285470 0.878585i
\(149\) −142334. 438058.i −0.525221 1.61646i −0.763878 0.645361i \(-0.776707\pi\)
0.238657 0.971104i \(-0.423293\pi\)
\(150\) −34146.6 56259.1i −0.123914 0.204157i
\(151\) 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
\(156\) 38506.5 + 33172.6i 0.126684 + 0.109136i
\(157\) −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
\(159\) 451045. + 37433.3i 1.41490 + 0.117426i
\(160\) 242243. 78709.5i 0.748086 0.243068i
\(161\) −69494.6 50490.8i −0.211294 0.153514i
\(162\) −111767. 159483.i −0.334599 0.477449i
\(163\) −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
\(165\) −207567. + 170639.i −0.593539 + 0.487941i
\(166\) 154244. 0.434449
\(167\) −25087.5 + 77211.4i −0.0696091 + 0.214235i −0.979810 0.199933i \(-0.935927\pi\)
0.910200 + 0.414168i \(0.135927\pi\)
\(168\) 41801.4 + 177444.i 0.114266 + 0.485053i
\(169\) −281107. 204236.i −0.757103 0.550067i
\(170\) −8283.82 + 2691.58i −0.0219841 + 0.00714306i
\(171\) 435336. + 226511.i 1.13850 + 0.592377i
\(172\) −42433.2 + 58404.3i −0.109367 + 0.150530i
\(173\) −59358.4 + 43126.4i −0.150788 + 0.109554i −0.660621 0.750719i \(-0.729707\pi\)
0.509833 + 0.860273i \(0.329707\pi\)
\(174\) 234048. 271681.i 0.586046 0.680278i
\(175\) 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 0.760078 0.649831i \(-0.225161\pi\)
−0.852904 + 0.522069i \(0.825161\pi\)
\(180\) 218040. 32631.1i 0.501597 0.0750673i
\(181\) 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
\(183\) −232182. + 140924.i −0.512509 + 0.311069i
\(184\) −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
\(189\) 16613.0 + 252300.i 0.0338294 + 0.513763i
\(190\) 231447. 168156.i 0.465122 0.337931i
\(191\) −382164. + 526004.i −0.757995 + 1.04329i 0.239383 + 0.970925i \(0.423055\pi\)
−0.997378 + 0.0723656i \(0.976945\pi\)
\(192\) −21168.1 + 255061.i −0.0414409 + 0.499334i
\(193\) −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
\(195\) 100597. 23698.2i 0.189452 0.0446302i
\(196\) −80622.0 + 248129.i −0.149904 + 0.461357i
\(197\) −414287. −0.760565 −0.380282 0.924870i \(-0.624173\pi\)
−0.380282 + 0.924870i \(0.624173\pi\)
\(198\) −92308.8 308092.i −0.167332 0.558492i
\(199\) −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
\(201\) −559258. + 131747.i −0.976387 + 0.230012i
\(202\) 271925. + 197565.i 0.468890 + 0.340668i
\(203\) −442785. + 143870.i −0.754142 + 0.245036i
\(204\) −1674.47 + 20176.2i −0.00281709 + 0.0339440i
\(205\) 338786. 466299.i 0.563043 0.774962i
\(206\) −471420. + 342507.i −0.773998 + 0.562343i
\(207\) −139590. 279834.i −0.226427 0.453915i
\(208\) 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
\(213\) 691186. 419517.i 1.04387 0.633578i
\(214\) −99348.6 305763.i −0.148295 0.456406i
\(215\) 45363.7 + 139615.i 0.0669287 + 0.205985i
\(216\) −163170. + 643295.i −0.237961 + 0.938157i
\(217\) 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
\(222\) 391063. 453943.i 0.532555 0.618186i
\(223\) 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
\(225\) −143575. + 275941.i −0.189070 + 0.363379i
\(226\) −448815. + 145829.i −0.584516 + 0.189921i
\(227\) 794078. + 576932.i 1.02282 + 0.743121i 0.966859 0.255312i \(-0.0821781\pi\)
0.0559600 + 0.998433i \(0.482178\pi\)
\(228\) −152475. 647247.i −0.194250 0.824580i
\(229\) −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
\(231\) −105094. + 404132.i −0.129582 + 0.498302i
\(232\) −1.22202e6 −1.49060
\(233\) 347998. 1.07103e6i 0.419939 1.29244i −0.487818 0.872945i \(-0.662207\pi\)
0.907757 0.419495i \(-0.137793\pi\)
\(234\) −20392.7 + 122013.i −0.0243465 + 0.145669i
\(235\) 302383. + 219694.i 0.357180 + 0.259507i
\(236\) −823433. + 267550.i −0.962384 + 0.312698i
\(237\) 159198. + 13212.2i 0.184105 + 0.0152794i
\(238\) −7956.11 + 10950.6i −0.00910455 + 0.0125313i
\(239\) 935104. 679393.i 1.05892 0.769354i 0.0850353 0.996378i \(-0.472900\pi\)
0.973889 + 0.227024i \(0.0728997\pi\)
\(240\) −49763.8 42870.5i −0.0557681 0.0480431i
\(241\) 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
\(246\) 357956. + 589760.i 0.377131 + 0.621352i
\(247\) −96327.3 296465.i −0.100463 0.309194i
\(248\) 147316. + 453393.i 0.152097 + 0.468107i
\(249\) −378270. 623229.i −0.386637 0.637014i
\(250\) 366793. + 504847.i 0.371168 + 0.510869i
\(251\) −336658. 109387.i −0.337291 0.109592i 0.135474 0.990781i \(-0.456744\pi\)
−0.472765 + 0.881188i \(0.656744\pi\)
\(252\) 244321. 240190.i 0.242359 0.238261i
\(253\) −73370.2 511211.i −0.0720640 0.502110i
\(254\) 91653.0i 0.0891379i
\(255\) 31190.7 + 26870.2i 0.0300383 + 0.0258774i
\(256\) 786886. 571706.i 0.750433 0.545222i
\(257\) 849721. 1.16954e6i 0.802498 1.10454i −0.189940 0.981796i \(-0.560829\pi\)
0.992438 0.122748i \(-0.0391706\pi\)
\(258\) −175109. 14532.7i −0.163780 0.0135925i
\(259\) −739835. + 240387.i −0.685307 + 0.222670i
\(260\) −113297. 82315.4i −0.103941 0.0755175i
\(261\) −1.67172e6 279404.i −1.51901 0.253882i
\(262\) −22291.4 + 68605.9i −0.0200625 + 0.0617459i
\(263\) 63759.2 0.0568399 0.0284199 0.999596i \(-0.490952\pi\)
0.0284199 + 0.999596i \(0.490952\pi\)
\(264\) −590138. + 923598.i −0.521127 + 0.815592i
\(265\) −1.24709e6 −1.09089
\(266\) 137383. 422822.i 0.119050 0.366398i
\(267\) 131700. + 559060.i 0.113060 + 0.479933i
\(268\) 629862. + 457622.i 0.535684 + 0.389197i
\(269\) 831747. 270251.i 0.700827 0.227712i 0.0631360 0.998005i \(-0.479890\pi\)
0.637691 + 0.770293i \(0.279890\pi\)
\(270\) 343253. + 412464.i 0.286553 + 0.344332i
\(271\) 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
\(273\) 104828. 121683.i 0.0851273 0.0988152i
\(274\) 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
\(279\) 97863.3 + 653920.i 0.0752679 + 0.502938i
\(280\) −155224. 477730.i −0.118322 0.364156i
\(281\) 444465. + 1.36792e6i 0.335793 + 1.03347i 0.966330 + 0.257306i \(0.0828349\pi\)
−0.630537 + 0.776160i \(0.717165\pi\)
\(282\) −382444. + 232125.i −0.286381 + 0.173820i
\(283\) 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
\(288\) 1.28947e6 643227.i 0.916069 0.456965i
\(289\) 1.14563e6 832349.i 0.806863 0.586220i
\(290\) −580774. + 799367.i −0.405520 + 0.558150i
\(291\) −161877. + 1.95050e6i −0.112061 + 1.35025i
\(292\) −1.45946e6 + 474206.i −1.00169 + 0.325470i
\(293\) −334947. 243353.i −0.227933 0.165603i 0.467958 0.883751i \(-0.344990\pi\)
−0.695890 + 0.718148i \(0.744990\pi\)
\(294\) −618094. + 145607.i −0.417048 + 0.0982461i
\(295\) −544056. + 1.67443e6i −0.363989 + 1.12024i
\(296\) −2.04184e6 −1.35454
\(297\) −1.01848e6 + 1.12854e6i −0.669977 + 0.742382i
\(298\) −1.51910e6 −0.990933
\(299\) −61383.4 + 188919.i −0.0397075 + 0.122207i
\(300\) 410262. 96647.4i 0.263183 0.0619993i
\(301\) 184562. + 134092.i 0.117416 + 0.0853074i
\(302\) 935682. 304022.i 0.590352 0.191817i
\(303\) 131396. 1.58323e6i 0.0822198 0.990691i
\(304\) −116447. + 160275.i −0.0722675 + 0.0994676i
\(305\) 605450. 439885.i 0.372674 0.270763i
\(306\) −44094.9 + 21996.0i −0.0269206 + 0.0134289i
\(307\) 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 0.792075 0.610424i \(-0.209001\pi\)
−0.825313 + 0.564676i \(0.809001\pi\)
\(312\) 360380. 218734.i 0.209592 0.127212i
\(313\) 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
\(315\) −103117. 689022.i −0.0585534 0.391252i
\(316\) −127231. 175119.i −0.0716764 0.0986541i
\(317\) 2.27509e6 + 739222.i 1.27160 + 0.413168i 0.865614 0.500712i \(-0.166928\pi\)
0.405986 + 0.913879i \(0.366928\pi\)
\(318\) 577102. 1.37662e6i 0.320026 0.763389i
\(319\) −2.47531e6 1.30688e6i −1.36192 0.719049i
\(320\) 705214.i 0.384987i
\(321\) −991803. + 1.15128e6i −0.537233 + 0.623617i
\(322\) −229198. + 166522.i −0.123189 + 0.0895018i
\(323\) 72985.8 100456.i 0.0389253 0.0535761i
\(324\) 1.19263e6 365148.i 0.631166 0.193244i
\(325\) 187916. 61057.7i 0.0986861 0.0320651i
\(326\) 55225.6 + 40123.8i 0.0287804 + 0.0209102i
\(327\) −785664. 3.33509e6i −0.406319 1.72480i
\(328\) 726508. 2.23596e6i 0.372869 1.14757i
\(329\) 580841. 0.295847
\(330\) 323689. + 824974.i 0.163623 + 0.417019i
\(331\) −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
\(333\) −2.79322e6 466847.i −1.38037 0.230709i
\(334\) 216617. + 157381.i 0.106249 + 0.0771946i
\(335\) 1.50568e6 489225.i 0.733029 0.238175i
\(336\) −101724. 8442.32i −0.0491559 0.00407956i
\(337\) 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
\(339\) 1.68990e6 + 1.45582e6i 0.798662 + 0.688031i
\(340\) 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
\(345\) 447083. + 736603.i 0.202227 + 0.333185i
\(346\) 74776.7 + 230139.i 0.0335796 + 0.103347i
\(347\) −1.11736e6 3.43888e6i −0.498161 1.53318i −0.811972 0.583696i \(-0.801606\pi\)
0.313811 0.949485i \(-0.398394\pi\)
\(348\) 1.19163e6 + 1.96331e6i 0.527466 + 0.869041i
\(349\) 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 \(0.195968\pi\)
−0.816397 + 0.577491i \(0.804032\pi\)
\(354\) −1.59658e6 1.37543e6i −0.677148 0.583349i
\(355\) −1.80237e6 + 1.30950e6i −0.759054 + 0.551485i
\(356\) 457460. 629639.i 0.191306 0.263310i
\(357\) 63758.1 + 5291.44i 0.0264767 + 0.00219737i
\(358\) −212347. + 68995.6i −0.0875665 + 0.0284521i
\(359\) −3.19453e6 2.32096e6i −1.30819 0.950456i −0.308191 0.951325i \(-0.599724\pi\)
−1.00000 0.000868475i \(0.999724\pi\)
\(360\) 301455. 1.80365e6i 0.122593 0.733494i
\(361\) −495135. + 1.52387e6i −0.199966 + 0.615431i
\(362\) 1.00112e6 0.401526
\(363\) −2.18310e6 + 1.23970e6i −0.869575 + 0.493800i
\(364\) −217631. −0.0860928
\(365\) −964287. + 2.96777e6i −0.378856 + 1.16600i
\(366\) 205397. + 871898.i 0.0801478 + 0.340222i
\(367\) −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
\(369\) 1.50509e6 2.89267e6i 0.575435 1.10594i
\(370\) −970396. + 1.33563e6i −0.368506 + 0.507205i
\(371\) −1.56788e6 + 1.13913e6i −0.591395 + 0.429673i
\(372\) 584769. 678796.i 0.219092 0.254321i
\(373\) 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
\(378\) 808307. + 205025.i 0.290969 + 0.0738034i
\(379\) −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
\(381\) 370327. 224771.i 0.130699 0.0793281i
\(382\) 1.26040e6 + 1.73480e6i 0.441927 + 0.608261i
\(383\) −3.88935e6 1.26373e6i −1.35482 0.440206i −0.460507 0.887656i \(-0.652332\pi\)
−0.894309 + 0.447450i \(0.852332\pi\)
\(384\) −1.94959e6 817300.i −0.674707 0.282848i
\(385\) 196484. 1.13368e6i 0.0675579 0.389798i
\(386\) 1.90386e6i 0.650380i
\(387\) 370720. + 743174.i 0.125825 + 0.252240i
\(388\) 2.14557e6 1.55885e6i 0.723541 0.525683i
\(389\) −141113. + 194226.i −0.0472817 + 0.0650777i −0.832003 0.554771i \(-0.812806\pi\)
0.784721 + 0.619849i \(0.212806\pi\)
\(390\) 28191.8 339691.i 0.00938557 0.113090i
\(391\) −75253.7 + 24451.4i −0.0248935 + 0.00808839i
\(392\) 1.75073e6 + 1.27198e6i 0.575444 + 0.418084i
\(393\) 331872. 78180.6i 0.108390 0.0255339i
\(394\) −422225. + 1.29947e6i −0.137026 + 0.421723i
\(395\) −440164. −0.141945
\(396\) 2.05932e6 + 47488.7i 0.659911 + 0.0152178i
\(397\) −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
\(399\) −2.04534e6 + 481832.i −0.643183 + 0.151518i
\(400\) −101591. 73810.5i −0.0317473 0.0230658i
\(401\) −779035. + 253124.i −0.241934 + 0.0786090i −0.427474 0.904028i \(-0.640596\pi\)
0.185540 + 0.982637i \(0.440596\pi\)
\(402\) −156728. + 1.88847e6i −0.0483707 + 0.582833i
\(403\) 246871. 339788.i 0.0757193 0.104219i
\(404\) −1.74157e6 + 1.26532e6i −0.530868 + 0.385698i
\(405\) 824777. 2.39846e6i 0.249861 0.726598i
\(406\) 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
\(411\) −2.10972e6 + 1.28050e6i −0.616055 + 0.373916i
\(412\) −1.15325e6 3.54934e6i −0.334719 1.03016i
\(413\) 845476. + 2.60211e6i 0.243908 + 0.750672i
\(414\) −1.02000e6 + 152650.i −0.292483 + 0.0437720i
\(415\) 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 \(0.00393536\pi\)
−0.999924 + 0.0123630i \(0.996065\pi\)
\(420\) −616159. + 715233.i −0.170439 + 0.197845i
\(421\) 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
\(423\) 1.87582e6 + 976010.i 0.509729 + 0.265218i
\(424\) −4.83787e6 + 1.57192e6i −1.30689 + 0.424634i
\(425\) 63675.0 + 46262.6i 0.0171000 + 0.0124239i
\(426\) −611449. 2.59556e6i −0.163244 0.692958i
\(427\) 359386. 1.10608e6i 0.0953874 0.293572i
\(428\) 2.05907e6 0.543326
\(429\) 963900. 57658.1i 0.252865 0.0151258i
\(430\) 484156. 0.126274
\(431\) 2.21277e6 6.81020e6i 0.573777 1.76590i −0.0665310 0.997784i \(-0.521193\pi\)
0.640308 0.768119i \(-0.278807\pi\)
\(432\) −314330. 198195.i −0.0810358 0.0510956i
\(433\) −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
\(435\) 4.65416e6 + 386260.i 1.17928 + 0.0978716i
\(436\) −2.72899e6 + 3.75614e6i −0.687521 + 0.946292i
\(437\) 2.10256e6 1.52760e6i 0.526677 0.382653i
\(438\) −2.82979e6 2.43781e6i −0.704806 0.607176i
\(439\) 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 \(0.00277199\pi\)
−0.300723 + 0.953711i \(0.597228\pi\)
\(444\) 1.99106e6 + 3.28042e6i 0.479322 + 0.789719i
\(445\) −489052. 1.50515e6i −0.117073 0.360312i
\(446\) −1.10593e6 3.40371e6i −0.263264 0.810244i
\(447\) 3.72545e6 + 6.13795e6i 0.881880 + 1.45296i
\(448\) −644165. 886617.i −0.151636 0.208709i
\(449\) 5.72820e6 + 1.86121e6i 1.34092 + 0.435691i 0.889628 0.456686i \(-0.150964\pi\)
0.451291 + 0.892377i \(0.350964\pi\)
\(450\) 719204. + 731573.i 0.167425 + 0.170305i
\(451\) 3.86282e6 3.75216e6i 0.894258 0.868641i
\(452\) 3.02240e6i 0.695835i
\(453\) −3.52309e6 3.03507e6i −0.806636 0.694901i
\(454\) 2.61892e6 1.90276e6i 0.596325 0.433256i
\(455\) −260122. + 358028.i −0.0589046 + 0.0810752i
\(456\) −5.49664e6 456179.i −1.23790 0.102736i
\(457\) 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
\(459\) 197014. + 124224.i 0.0436482 + 0.0275216i
\(460\) 360801. 1.11043e6i 0.0795012 0.244679i
\(461\) 7.38752e6 1.61900 0.809500 0.587120i \(-0.199739\pi\)
0.809500 + 0.587120i \(0.199739\pi\)
\(462\) 1.16051e6 + 741516.i 0.252956 + 0.161628i
\(463\) −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
\(465\) −417754. 1.77334e6i −0.0895960 0.380329i
\(466\) −3.00477e6 2.18309e6i −0.640983 0.465701i
\(467\) −3.51676e6 + 1.14267e6i −0.746193 + 0.242453i −0.657342 0.753592i \(-0.728319\pi\)
−0.0888504 + 0.996045i \(0.528319\pi\)
\(468\) −702836. 365694.i −0.148333 0.0771796i
\(469\) 1.44612e6 1.99041e6i 0.303579 0.417840i
\(470\) 997278. 724565.i 0.208244 0.151298i
\(471\) 1.00282e6 1.16407e6i 0.208291 0.241783i
\(472\) 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
\(477\) −6.97757e6 + 1.04424e6i −1.40413 + 0.210137i
\(478\) −1.17800e6 3.62550e6i −0.235816 0.725769i
\(479\) −490503. 1.50961e6i −0.0976794 0.300626i 0.890263 0.455446i \(-0.150520\pi\)
−0.987943 + 0.154820i \(0.950520\pi\)
\(480\) −3.39424e6 + 2.06014e6i −0.672419 + 0.408126i
\(481\) 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
\(486\) 2.26591e6 + 2.02035e6i 0.435162 + 0.388005i
\(487\) −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
\(489\) 26685.4 321541.i 0.00504664 0.0608084i
\(490\) 1.66409e6 540694.i 0.313102 0.101733i
\(491\) −312167. 226803.i −0.0584364 0.0424565i 0.558184 0.829717i \(-0.311498\pi\)
−0.616620 + 0.787261i \(0.711498\pi\)
\(492\) −4.30074e6 + 1.01315e6i −0.800997 + 0.188695i
\(493\) −132525. + 407870.i −0.0245573 + 0.0755795i
\(494\) −1.02808e6 −0.189544
\(495\) 2.53951e6 3.33105e6i 0.465841 0.611038i
\(496\) −266927. −0.0487178
\(497\) −1.06986e6 + 3.29269e6i −0.194283 + 0.597942i
\(498\) −2.34037e6 + 551331.i −0.422873 + 0.0996183i
\(499\) −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
\(501\) 104671. 1.26121e6i 0.0186308 0.224488i
\(502\) −686216. + 944495.i −0.121535 + 0.167279i
\(503\) −2.99564e6 + 2.17646e6i −0.527922 + 0.383558i −0.819580 0.572965i \(-0.805793\pi\)
0.291658 + 0.956523i \(0.405793\pi\)
\(504\) −1.26852e6 2.54297e6i −0.222443 0.445928i
\(505\) 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 0.858566 0.512704i \(-0.171356\pi\)
−0.752921 + 0.658110i \(0.771356\pi\)
\(510\) 116071. 70449.3i 0.0197604 0.0119936i
\(511\) 1.49853e6 + 4.61199e6i 0.253870 + 0.781332i
\(512\) 349720. + 1.07633e6i 0.0589583 + 0.181455i
\(513\) −7.41505e6 1.88080e6i −1.24400 0.315537i
\(514\) −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
\(519\) 746501. 866533.i 0.121650 0.141210i
\(520\) −939744. + 682764.i −0.152406 + 0.110729i
\(521\) 909723. 1.25213e6i 0.146830 0.202094i −0.729267 0.684229i \(-0.760139\pi\)
0.876097 + 0.482135i \(0.160139\pi\)
\(522\) −2.58014e6 + 4.95884e6i −0.414445 + 0.796532i
\(523\) 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
\(525\) −305412. 1.29646e6i −0.0483602 0.205286i
\(526\) 64980.7 199990.i 0.0102405 0.0315169i
\(527\) 167303. 0.0262408
\(528\) −389719. 474061.i −0.0608369 0.0740030i
\(529\) 4.78022e6 0.742692
\(530\) −1.27098e6 + 3.91167e6i −0.196539 + 0.604885i
\(531\) −1.64197e6 + 9.82415e6i −0.252714 + 1.51202i
\(532\) 2.30356e6 + 1.67364e6i 0.352875 + 0.256379i
\(533\) −1.96991e6 + 640063.i −0.300351 + 0.0975899i
\(534\) 1.88780e6 + 156673.i 0.286485 + 0.0237761i
\(535\) 2.46109e6 3.38740e6i 0.371743 0.511661i
\(536\) 5.22438e6 3.79574e6i 0.785458 0.570669i
\(537\) 799540. + 688788.i 0.119648 + 0.103074i
\(538\) 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
\(543\) −2.45515e6 4.04505e6i −0.357337 0.588740i
\(544\) −112671. 346767.i −0.0163236 0.0502389i
\(545\) 2.91746e6 + 8.97901e6i 0.420740 + 1.29490i
\(546\) −274841. 452822.i −0.0394548 0.0650048i
\(547\) 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
\(552\) 2.66285e6 + 2.29399e6i 0.371962 + 0.320438i
\(553\) −553388. + 402060.i −0.0769515 + 0.0559085i
\(554\) −81736.6 + 112501.i −0.0113147 + 0.0155733i
\(555\) 7.77648e6 + 645389.i 1.07164 + 0.0889384i
\(556\) 4.57461e6 1.48638e6i 0.627577 0.203912i
\(557\) −6.77355e6 4.92127e6i −0.925077 0.672108i 0.0197051 0.999806i \(-0.493727\pi\)
−0.944783 + 0.327698i \(0.893727\pi\)
\(558\) 2.15085e6 + 359485.i 0.292432 + 0.0488760i
\(559\) 163020. 501725.i 0.0220654 0.0679104i
\(560\) 281255. 0.0378992
\(561\) 244266. + 297129.i 0.0327685 + 0.0398601i
\(562\) 4.74368e6 0.633540
\(563\) −1.99413e6 + 6.13729e6i −0.265144 + 0.816030i 0.726516 + 0.687149i \(0.241138\pi\)
−0.991660 + 0.128880i \(0.958862\pi\)
\(564\) −656998. 2.78892e6i −0.0869694 0.369180i
\(565\) −4.97220e6 3.61251e6i −0.655281 0.476089i
\(566\) 7.24216e6 2.35312e6i 0.950226 0.308747i
\(567\) −1.15389e6 3.76880e6i −0.150733 0.492317i
\(568\) −5.34141e6 + 7.35181e6i −0.694680 + 0.956145i
\(569\) −1.85632e6 + 1.34870e6i −0.240365 + 0.174636i −0.701446 0.712723i \(-0.747462\pi\)
0.461081 + 0.887358i \(0.347462\pi\)
\(570\) −2.91071e6 + 3.37873e6i −0.375242 + 0.435579i
\(571\) 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
\(576\) −590505. 3.94573e6i −0.0741596 0.495532i
\(577\) 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
\(579\) 7.69261e6 4.66905e6i 0.953624 0.578805i
\(580\) −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
\(585\) −1.44167e6 + 719152.i −0.174171 + 0.0868822i
\(586\) −1.10468e6 + 802594.i −0.132890 + 0.0965499i
\(587\) −9.41513e6 + 1.29588e7i −1.12780 + 1.55228i −0.335612 + 0.942000i \(0.608943\pi\)
−0.792185 + 0.610280i \(0.791057\pi\)
\(588\) 336374. 4.05307e6i 0.0401216 0.483437i
\(589\) −5.22611e6 + 1.69807e6i −0.620713 + 0.201682i
\(590\) 4.69762e6 + 3.41302e6i 0.555582 + 0.403654i
\(591\) 6.28603e6 1.48083e6i 0.740300 0.174396i
\(592\) 353287. 1.08731e6i 0.0414308 0.127511i
\(593\) −1.03545e7 −1.20918 −0.604591 0.796536i \(-0.706664\pi\)
−0.604591 + 0.796536i \(0.706664\pi\)
\(594\) 2.50186e6 + 4.34477e6i 0.290935 + 0.505243i
\(595\) −176284. −0.0204136
\(596\) 3.00648e6 9.25300e6i 0.346691 1.06701i
\(597\) 5.70215e6 1.34328e6i 0.654791 0.154252i
\(598\) 530012. + 385076.i 0.0606084 + 0.0440346i
\(599\) 2.36085e6 767086.i 0.268844 0.0873528i −0.171493 0.985185i \(-0.554859\pi\)
0.440337 + 0.897833i \(0.354859\pi\)
\(600\) 289152. 3.48408e6i 0.0327905 0.395103i
\(601\) 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
\(603\) 8.01477e6 3.99803e6i 0.897631 0.447768i
\(604\) 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
\(609\) 6.20419e6 3.76565e6i 0.677863 0.411430i
\(610\) −762715. 2.34740e6i −0.0829923 0.255424i
\(611\) −415064. 1.27744e6i −0.0449792 0.138432i
\(612\) −46710.9 312121.i −0.00504126 0.0336856i
\(613\) 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 \(0.0727842\pi\)
−0.973971 + 0.226671i \(0.927216\pi\)
\(618\) 5.92866e6 6.88194e6i 0.624432 0.724836i
\(619\) 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
\(621\) 3.11826e6 + 3.74700e6i 0.324476 + 0.389901i
\(622\) −302540. + 98301.1i −0.0313550 + 0.0101878i
\(623\) −1.98970e6 1.44560e6i −0.205385 0.149221i
\(624\) 54124.0 + 229753.i 0.00556453 + 0.0236211i
\(625\) −1.27525e6 + 3.92481e6i −0.130586 + 0.401901i
\(626\) 3.40937e6 0.347727
\(627\) −1.06460e7 6.80233e6i −1.08148 0.691018i
\(628\) −2.08193e6 −0.210653
\(629\) −221431. + 681496.i −0.0223158 + 0.0686810i
\(630\) −2.26631e6 378782.i −0.227493 0.0380223i
\(631\) 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
\(633\) −8.07646e6 670285.i −0.801146 0.0664890i
\(634\) 4.63736e6 6.38277e6i 0.458192 0.630647i
\(635\) −965681. + 701609.i −0.0950385 + 0.0690495i
\(636\) 7.24300e6 + 6.23970e6i 0.710029 + 0.611675i
\(637\) 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 \(-0.882925\pi\)
−0.0536166 0.998562i \(-0.517075\pi\)
\(642\) 2.60035e6 + 4.28427e6i 0.248997 + 0.410242i
\(643\) 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
\(645\) −1.18735e6 1.95625e6i −0.112378 0.185150i
\(646\) −240712. 331312.i −0.0226943 0.0312360i
\(647\) 255495. + 83015.3i 0.0239950 + 0.00779646i 0.320990 0.947083i \(-0.395984\pi\)
−0.296995 + 0.954879i \(0.595984\pi\)
\(648\) 176396. 1.03440e7i 0.0165026 0.967725i
\(649\) −7.68010e6 + 1.45466e7i −0.715740 + 1.35565i
\(650\) 651655.i 0.0604971i
\(651\) −2.14504e6 1.84791e6i −0.198373 0.170895i
\(652\) −353697. + 256976.i −0.0325846 + 0.0236741i
\(653\) −2.78584e6 + 3.83438e6i −0.255666 + 0.351895i −0.917486 0.397769i \(-0.869785\pi\)
0.661819 + 0.749663i \(0.269785\pi\)
\(654\) −1.12617e7 934638.i −1.02958 0.0854475i
\(655\) −893493. + 290313.i −0.0813744 + 0.0264401i
\(656\) 1.06497e6 + 773750.i 0.0966228 + 0.0702006i
\(657\) −2.91024e6 + 1.74124e7i −0.263036 + 1.57378i
\(658\) 591969. 1.82189e6i 0.0533009 0.164043i
\(659\) −1.07295e7 −0.962425 −0.481212 0.876604i \(-0.659803\pi\)
−0.481212 + 0.876604i \(0.659803\pi\)
\(660\) −5.66564e6 + 338905.i −0.506278 + 0.0302843i
\(661\) −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
\(663\) −33923.6 144003.i −0.00299722 0.0127230i
\(664\) 6.62898e6 + 4.81624e6i 0.583481 + 0.423924i
\(665\) 5.50665e6 1.78922e6i 0.482873 0.156895i
\(666\) −4.31107e6 + 8.28555e6i −0.376617 + 0.723829i
\(667\) −5.27599e6 + 7.26178e6i −0.459187 + 0.632017i
\(668\) −1.38734e6 + 1.00796e6i −0.120293 + 0.0873983i
\(669\) −1.10406e7 + 1.28159e7i −0.953735 + 1.10709i
\(670\) 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
\(675\) 1.19216e6 4.70008e6i 0.100711 0.397051i
\(676\) −2.26802e6 6.98025e6i −0.190889 0.587495i
\(677\) −2.61432e6 8.04604e6i −0.219223 0.674699i −0.998827 0.0484262i \(-0.984579\pi\)
0.779604 0.626273i \(-0.215421\pi\)
\(678\) 6.28867e6 3.81693e6i 0.525394 0.318889i
\(679\) −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 \(0.216324\pi\)
−0.777823 + 0.628484i \(0.783676\pi\)
\(684\) 4.62704e6 + 9.27575e6i 0.378149 + 0.758069i
\(685\) 5.50140e6 3.99700e6i 0.447968 0.325468i
\(686\) 3.77304e6 5.19314e6i 0.306112 0.421327i
\(687\) 1.42566e6 1.71782e7i 0.115245 1.38863i
\(688\) −318865. + 103606.i −0.0256824 + 0.00834472i
\(689\) 3.62566e6 + 2.63420e6i 0.290964 + 0.211398i
\(690\) 2.76611e6 651626.i 0.221181 0.0521046i
\(691\) 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
\(693\) 150068. 6.50758e6i 0.0118701 0.514739i
\(694\) −1.19253e7 −0.939879
\(695\) 3.02252e6 9.30235e6i 0.237360 0.730518i
\(696\) 1.85419e7 4.36801e6i 1.45088 0.341791i
\(697\) −667499. 484967.i −0.0520438 0.0378120i
\(698\) 8.38318e6 2.72386e6i 0.651284 0.211615i
\(699\) −1.45193e6 + 1.74947e7i −0.112396 + 1.35430i
\(700\) −1.06085e6 + 1.46013e6i −0.0818290 + 0.112628i
\(701\) 1.05589e7 7.67151e6i 0.811568 0.589639i −0.102717 0.994711i \(-0.532754\pi\)
0.914285 + 0.405072i \(0.132754\pi\)
\(702\) −126702. 1.92421e6i −0.00970377 0.147370i
\(703\) 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
\(708\) 1.15377e7 7.00285e6i 0.865042 0.525039i
\(709\) 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
\(711\) −2.46276e6 + 368567.i −0.182704 + 0.0273428i
\(712\) −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
\(717\) −1.17600e7 + 1.36509e7i −0.854299 + 0.991665i
\(718\) −1.05358e7 + 7.65469e6i −0.762703 + 0.554136i
\(719\) 1.49201e7 2.05358e7i 1.07634 1.48146i 0.212855 0.977084i \(-0.431724\pi\)
0.863486 0.504373i \(-0.168276\pi\)
\(720\) 908309. + 472604.i 0.0652984 + 0.0339755i
\(721\) −1.12162e7 + 3.64435e6i −0.803538 + 0.261085i
\(722\) 4.27522e6 + 3.10613e6i 0.305222 + 0.221757i
\(723\) 2.42401e6 + 1.02898e7i 0.172460 + 0.732081i
\(724\) −1.98134e6 + 6.09793e6i −0.140479 + 0.432350i
\(725\) 8.92843e6 0.630856
\(726\) 1.66359e6 + 8.11107e6i 0.117140 + 0.571132i
\(727\) 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
\(729\) 2.60637e6 1.41102e7i 0.181643 0.983365i
\(730\) 8.32609e6 + 6.04926e6i 0.578274 + 0.420141i
\(731\) 199857. 64937.4i 0.0138333 0.00449470i
\(732\) −5.71734e6 474496.i −0.394382 0.0327307i
\(733\) −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
\(735\) −6.26571e6 5.39778e6i −0.427811 0.368551i
\(736\) 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
\(741\) 2.52127e6 + 4.15399e6i 0.168684 + 0.277920i
\(742\) 1.97513e6 + 6.07884e6i 0.131700 + 0.405332i
\(743\) 2.14598e6 + 6.60464e6i 0.142611 + 0.438912i 0.996696 0.0812217i \(-0.0258822\pi\)
−0.854085 + 0.520134i \(0.825882\pi\)
\(744\) −3.85586e6 6.35281e6i −0.255381 0.420759i
\(745\) −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
\(750\) −7.36992e6 6.34904e6i −0.478420 0.412150i
\(751\) −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
\(753\) 5.49914e6 + 456387.i 0.353433 + 0.0293323i
\(754\) 3.37698e6 1.09725e6i 0.216322 0.0702871i
\(755\) 1.03660e7 + 7.53131e6i 0.661823 + 0.480843i
\(756\) −2.84857e6 + 4.51773e6i −0.181269 + 0.287485i
\(757\) 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
\(759\) 2.94053e6 + 7.49441e6i 0.185277 + 0.472208i
\(760\) 1.51976e7 0.954420
\(761\) 1.67326e6 5.14975e6i 0.104737 0.322348i −0.884932 0.465721i \(-0.845795\pi\)
0.989669 + 0.143373i \(0.0457950\pi\)
\(762\) −327605. 1.39066e6i −0.0204392 0.0867629i
\(763\) 1.18697e7 + 8.62381e6i 0.738119 + 0.536275i
\(764\) −1.30613e7 + 4.24389e6i −0.809570 + 0.263045i
\(765\) −569305. 296216.i −0.0351716 0.0183002i
\(766\) −7.92773e6 + 1.09116e7i −0.488177 + 0.671918i
\(767\) 5.11861e6 3.71889e6i 0.314169 0.228257i
\(768\) −9.89601e6 + 1.14872e7i −0.605420 + 0.702768i