Properties

Label 33.6.f.a.2.18
Level $33$
Weight $6$
Character 33.2
Analytic conductor $5.293$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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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 2.18
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.18

$q$-expansion

\(f(q)\) \(=\) \(q+(3.08173 - 9.48458i) q^{2} +(-12.6871 + 9.05745i) q^{3} +(-54.5716 - 39.6486i) q^{4} +(-16.3931 + 5.32643i) q^{5} +(46.8079 + 148.244i) q^{6} +(-74.1699 + 102.086i) q^{7} +(-286.047 + 207.825i) q^{8} +(78.9251 - 229.826i) q^{9} +O(q^{10})\) \(q+(3.08173 - 9.48458i) q^{2} +(-12.6871 + 9.05745i) q^{3} +(-54.5716 - 39.6486i) q^{4} +(-16.3931 + 5.32643i) q^{5} +(46.8079 + 148.244i) q^{6} +(-74.1699 + 102.086i) q^{7} +(-286.047 + 207.825i) q^{8} +(78.9251 - 229.826i) q^{9} +171.896i q^{10} +(-293.152 - 274.067i) q^{11} +(1051.47 + 8.74606i) q^{12} +(-289.976 - 94.2191i) q^{13} +(739.673 + 1018.07i) q^{14} +(159.737 - 216.057i) q^{15} +(422.592 + 1300.60i) q^{16} +(415.883 + 1279.96i) q^{17} +(-1936.57 - 1456.83i) q^{18} +(-1592.36 - 2191.69i) q^{19} +(1105.78 + 359.290i) q^{20} +(16.3611 - 1966.97i) q^{21} +(-3502.83 + 1935.82i) q^{22} -3564.43i q^{23} +(1746.74 - 5227.55i) q^{24} +(-2287.82 + 1662.20i) q^{25} +(-1787.26 + 2459.95i) q^{26} +(1080.30 + 3630.68i) q^{27} +(8095.14 - 2630.27i) q^{28} +(3069.44 + 2230.08i) q^{29} +(-1556.94 - 2180.86i) q^{30} +(848.134 - 2610.29i) q^{31} +2323.64 q^{32} +(6201.60 + 821.913i) q^{33} +13421.5 q^{34} +(672.118 - 2068.57i) q^{35} +(-13419.3 + 9412.68i) q^{36} +(-159.754 - 116.068i) q^{37} +(-25694.5 + 8348.65i) q^{38} +(4532.35 - 1431.08i) q^{39} +(3582.22 - 4930.50i) q^{40} +(13619.3 - 9894.99i) q^{41} +(-18605.4 - 6216.83i) q^{42} +6557.27i q^{43} +(5131.38 + 26579.4i) q^{44} +(-69.6748 + 4187.94i) q^{45} +(-33807.1 - 10984.6i) q^{46} +(6782.17 + 9334.86i) q^{47} +(-17141.6 - 12673.3i) q^{48} +(273.244 + 840.959i) q^{49} +(8714.80 + 26821.4i) q^{50} +(-16869.5 - 12472.1i) q^{51} +(12088.8 + 16638.8i) q^{52} +(-12489.0 - 4057.92i) q^{53} +(37764.7 + 942.546i) q^{54} +(6265.46 + 2931.36i) q^{55} -44615.8i q^{56} +(40053.6 + 13383.5i) q^{57} +(30610.5 - 22239.9i) q^{58} +(15685.5 - 21589.2i) q^{59} +(-17283.4 + 5457.21i) q^{60} +(-27166.3 + 8826.87i) q^{61} +(-22143.7 - 16088.4i) q^{62} +(17608.1 + 25103.3i) q^{63} +(-6362.11 + 19580.6i) q^{64} +5255.46 q^{65} +(26907.1 - 56286.6i) q^{66} -28557.0 q^{67} +(28053.1 - 86338.5i) q^{68} +(32284.6 + 45222.3i) q^{69} +(-17548.2 - 12749.5i) q^{70} +(-65896.0 + 21410.9i) q^{71} +(25187.3 + 82143.5i) q^{72} +(18393.0 - 25315.8i) q^{73} +(-1593.17 + 1157.51i) q^{74} +(13970.5 - 41810.2i) q^{75} +182739. i q^{76} +(49721.6 - 9599.18i) q^{77} +(394.250 - 47397.6i) q^{78} +(-80830.9 - 26263.6i) q^{79} +(-13855.2 - 19070.0i) q^{80} +(-46590.6 - 36278.0i) q^{81} +(-51878.9 - 159667. i) q^{82} +(-22963.6 - 70674.6i) q^{83} +(-78880.4 + 106692. i) q^{84} +(-13635.2 - 18767.3i) q^{85} +(62192.9 + 20207.7i) q^{86} +(-59141.2 - 491.932i) q^{87} +(140813. + 17471.8i) q^{88} +49217.1i q^{89} +(39506.1 + 13566.9i) q^{90} +(31126.0 - 22614.4i) q^{91} +(-141324. + 194516. i) q^{92} +(12882.2 + 40798.9i) q^{93} +(109438. - 35558.6i) q^{94} +(37777.6 + 27447.0i) q^{95} +(-29480.3 + 21046.3i) q^{96} +(-7336.07 + 22578.1i) q^{97} +8818.20 q^{98} +(-86124.8 + 45743.0i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.08173 9.48458i 0.544777 1.67665i −0.176742 0.984257i \(-0.556556\pi\)
0.721519 0.692395i \(-0.243444\pi\)
\(3\) −12.6871 + 9.05745i −0.813878 + 0.581036i
\(4\) −54.5716 39.6486i −1.70536 1.23902i
\(5\) −16.3931 + 5.32643i −0.293248 + 0.0952821i −0.451947 0.892045i \(-0.649270\pi\)
0.158698 + 0.987327i \(0.449270\pi\)
\(6\) 46.8079 + 148.244i 0.530813 + 1.68113i
\(7\) −74.1699 + 102.086i −0.572114 + 0.787448i −0.992803 0.119757i \(-0.961788\pi\)
0.420689 + 0.907205i \(0.361788\pi\)
\(8\) −286.047 + 207.825i −1.58020 + 1.14808i
\(9\) 78.9251 229.826i 0.324795 0.945785i
\(10\) 171.896i 0.543583i
\(11\) −293.152 274.067i −0.730484 0.682929i
\(12\) 1051.47 + 8.74606i 2.10787 + 0.0175331i
\(13\) −289.976 94.2191i −0.475888 0.154625i 0.0612456 0.998123i \(-0.480493\pi\)
−0.537133 + 0.843498i \(0.680493\pi\)
\(14\) 739.673 + 1018.07i 1.00860 + 1.38822i
\(15\) 159.737 216.057i 0.183306 0.247936i
\(16\) 422.592 + 1300.60i 0.412687 + 1.27012i
\(17\) 415.883 + 1279.96i 0.349019 + 1.07417i 0.959397 + 0.282060i \(0.0910176\pi\)
−0.610378 + 0.792110i \(0.708982\pi\)
\(18\) −1936.57 1456.83i −1.40881 1.05981i
\(19\) −1592.36 2191.69i −1.01195 1.39282i −0.917700 0.397274i \(-0.869956\pi\)
−0.0942452 0.995549i \(-0.530044\pi\)
\(20\) 1105.78 + 359.290i 0.618151 + 0.200849i
\(21\) 16.3611 1966.97i 0.00809589 0.973305i
\(22\) −3502.83 + 1935.82i −1.54299 + 0.852724i
\(23\) 3564.43i 1.40498i −0.711694 0.702490i \(-0.752072\pi\)
0.711694 0.702490i \(-0.247928\pi\)
\(24\) 1746.74 5227.55i 0.619013 1.85255i
\(25\) −2287.82 + 1662.20i −0.732101 + 0.531903i
\(26\) −1787.26 + 2459.95i −0.518505 + 0.713661i
\(27\) 1080.30 + 3630.68i 0.285191 + 0.958471i
\(28\) 8095.14 2630.27i 1.95132 0.634024i
\(29\) 3069.44 + 2230.08i 0.677742 + 0.492408i 0.872608 0.488422i \(-0.162427\pi\)
−0.194866 + 0.980830i \(0.562427\pi\)
\(30\) −1556.94 2180.86i −0.315841 0.442410i
\(31\) 848.134 2610.29i 0.158511 0.487847i −0.839989 0.542604i \(-0.817438\pi\)
0.998500 + 0.0547568i \(0.0174384\pi\)
\(32\) 2323.64 0.401138
\(33\) 6201.60 + 821.913i 0.991332 + 0.131384i
\(34\) 13421.5 1.99115
\(35\) 672.118 2068.57i 0.0927418 0.285430i
\(36\) −13419.3 + 9412.68i −1.72574 + 1.21048i
\(37\) −159.754 116.068i −0.0191843 0.0139382i 0.578152 0.815929i \(-0.303774\pi\)
−0.597336 + 0.801991i \(0.703774\pi\)
\(38\) −25694.5 + 8348.65i −2.88656 + 0.937902i
\(39\) 4532.35 1431.08i 0.477157 0.150662i
\(40\) 3582.22 4930.50i 0.353999 0.487238i
\(41\) 13619.3 9894.99i 1.26530 0.919297i 0.266299 0.963891i \(-0.414199\pi\)
0.999005 + 0.0445934i \(0.0141992\pi\)
\(42\) −18605.4 6216.83i −1.62748 0.543809i
\(43\) 6557.27i 0.540819i 0.962745 + 0.270410i \(0.0871591\pi\)
−0.962745 + 0.270410i \(0.912841\pi\)
\(44\) 5131.38 + 26579.4i 0.399579 + 2.06973i
\(45\) −69.6748 + 4187.94i −0.00512914 + 0.308297i
\(46\) −33807.1 10984.6i −2.35566 0.765401i
\(47\) 6782.17 + 9334.86i 0.447841 + 0.616401i 0.971932 0.235262i \(-0.0755947\pi\)
−0.524091 + 0.851663i \(0.675595\pi\)
\(48\) −17141.6 12673.3i −1.07386 0.793937i
\(49\) 273.244 + 840.959i 0.0162578 + 0.0500362i
\(50\) 8714.80 + 26821.4i 0.492983 + 1.51725i
\(51\) −16869.5 12472.1i −0.908190 0.671451i
\(52\) 12088.8 + 16638.8i 0.619977 + 0.853325i
\(53\) −12489.0 4057.92i −0.610714 0.198433i −0.0127007 0.999919i \(-0.504043\pi\)
−0.598013 + 0.801486i \(0.704043\pi\)
\(54\) 37764.7 + 942.546i 1.76239 + 0.0439864i
\(55\) 6265.46 + 2931.36i 0.279284 + 0.130666i
\(56\) 44615.8i 1.90116i
\(57\) 40053.6 + 13383.5i 1.63288 + 0.545612i
\(58\) 30610.5 22239.9i 1.19482 0.868084i
\(59\) 15685.5 21589.2i 0.586635 0.807434i −0.407768 0.913086i \(-0.633693\pi\)
0.994403 + 0.105651i \(0.0336927\pi\)
\(60\) −17283.4 + 5457.21i −0.619800 + 0.195701i
\(61\) −27166.3 + 8826.87i −0.934773 + 0.303726i −0.736513 0.676424i \(-0.763529\pi\)
−0.198260 + 0.980150i \(0.563529\pi\)
\(62\) −22143.7 16088.4i −0.731597 0.531536i
\(63\) 17608.1 + 25103.3i 0.558936 + 0.796856i
\(64\) −6362.11 + 19580.6i −0.194156 + 0.597552i
\(65\) 5255.46 0.154286
\(66\) 26907.1 56286.6i 0.760339 1.59054i
\(67\) −28557.0 −0.777186 −0.388593 0.921409i \(-0.627039\pi\)
−0.388593 + 0.921409i \(0.627039\pi\)
\(68\) 28053.1 86338.5i 0.735712 2.26429i
\(69\) 32284.6 + 45222.3i 0.816344 + 1.14348i
\(70\) −17548.2 12749.5i −0.428043 0.310992i
\(71\) −65896.0 + 21410.9i −1.55136 + 0.504068i −0.954484 0.298263i \(-0.903593\pi\)
−0.596879 + 0.802331i \(0.703593\pi\)
\(72\) 25187.3 + 82143.5i 0.572598 + 1.86742i
\(73\) 18393.0 25315.8i 0.403966 0.556012i −0.557768 0.829997i \(-0.688342\pi\)
0.961734 + 0.273985i \(0.0883419\pi\)
\(74\) −1593.17 + 1157.51i −0.0338207 + 0.0245722i
\(75\) 13970.5 41810.2i 0.286787 0.858281i
\(76\) 182739.i 3.62909i
\(77\) 49721.6 9599.18i 0.955692 0.184505i
\(78\) 394.250 47397.6i 0.00733728 0.882103i
\(79\) −80830.9 26263.6i −1.45717 0.473463i −0.529964 0.848020i \(-0.677795\pi\)
−0.927204 + 0.374557i \(0.877795\pi\)
\(80\) −13855.2 19070.0i −0.242040 0.333139i
\(81\) −46590.6 36278.0i −0.789017 0.614372i
\(82\) −51878.9 159667.i −0.852033 2.62229i
\(83\) −22963.6 70674.6i −0.365885 1.12608i −0.949425 0.313993i \(-0.898333\pi\)
0.583541 0.812084i \(-0.301667\pi\)
\(84\) −78880.4 + 106692.i −1.21975 + 1.64981i
\(85\) −13635.2 18767.3i −0.204698 0.281743i
\(86\) 62192.9 + 20207.7i 0.906765 + 0.294626i
\(87\) −59141.2 491.932i −0.837706 0.00696798i
\(88\) 140813. + 17471.8i 1.93837 + 0.240509i
\(89\) 49217.1i 0.658629i 0.944220 + 0.329315i \(0.106818\pi\)
−0.944220 + 0.329315i \(0.893182\pi\)
\(90\) 39506.1 + 13566.9i 0.514112 + 0.176553i
\(91\) 31126.0 22614.4i 0.394021 0.286273i
\(92\) −141324. + 194516.i −1.74080 + 2.39600i
\(93\) 12882.2 + 40798.9i 0.154448 + 0.489149i
\(94\) 109438. 35558.6i 1.27746 0.415073i
\(95\) 37777.6 + 27447.0i 0.429462 + 0.312023i
\(96\) −29480.3 + 21046.3i −0.326477 + 0.233076i
\(97\) −7336.07 + 22578.1i −0.0791651 + 0.243645i −0.982805 0.184649i \(-0.940885\pi\)
0.903639 + 0.428294i \(0.140885\pi\)
\(98\) 8818.20 0.0927502
\(99\) −86124.8 + 45743.0i −0.883162 + 0.469069i
\(100\) 190753. 1.90753
\(101\) −13737.8 + 42280.6i −0.134003 + 0.412418i −0.995434 0.0954569i \(-0.969569\pi\)
0.861431 + 0.507875i \(0.169569\pi\)
\(102\) −170280. + 121564.i −1.62055 + 1.15693i
\(103\) 43715.1 + 31760.9i 0.406012 + 0.294985i 0.771985 0.635640i \(-0.219264\pi\)
−0.365973 + 0.930625i \(0.619264\pi\)
\(104\) 102528. 33313.3i 0.929520 0.302019i
\(105\) 10208.7 + 32331.8i 0.0903645 + 0.286192i
\(106\) −76975.3 + 105947.i −0.665406 + 0.915853i
\(107\) 50478.6 36674.9i 0.426234 0.309677i −0.353907 0.935281i \(-0.615147\pi\)
0.780141 + 0.625603i \(0.215147\pi\)
\(108\) 84997.5 240965.i 0.701208 1.98790i
\(109\) 91208.5i 0.735307i −0.929963 0.367654i \(-0.880161\pi\)
0.929963 0.367654i \(-0.119839\pi\)
\(110\) 47111.1 50391.6i 0.371229 0.397079i
\(111\) 3078.09 + 25.6033i 0.0237123 + 0.000197237i
\(112\) −164117. 53324.9i −1.23626 0.401685i
\(113\) −60501.1 83272.6i −0.445725 0.613488i 0.525747 0.850641i \(-0.323786\pi\)
−0.971472 + 0.237153i \(0.923786\pi\)
\(114\) 250371. 338647.i 1.80436 2.44053i
\(115\) 18985.7 + 58431.9i 0.133870 + 0.412008i
\(116\) −79084.8 243398.i −0.545693 1.67947i
\(117\) −44540.4 + 59207.8i −0.300808 + 0.399866i
\(118\) −156426. 215302.i −1.03420 1.42346i
\(119\) −161512. 52478.4i −1.04553 0.339714i
\(120\) −790.200 + 94999.6i −0.00500938 + 0.602238i
\(121\) 10825.1 + 160687.i 0.0672150 + 0.997739i
\(122\) 284863.i 1.73275i
\(123\) −83165.9 + 248895.i −0.495658 + 1.48338i
\(124\) −149778. + 108820.i −0.874771 + 0.635558i
\(125\) 60311.6 83011.9i 0.345244 0.475188i
\(126\) 292358. 89644.2i 1.64055 0.503033i
\(127\) −24025.4 + 7806.32i −0.132179 + 0.0429474i −0.374359 0.927284i \(-0.622137\pi\)
0.242181 + 0.970231i \(0.422137\pi\)
\(128\) 226263. + 164390.i 1.22064 + 0.886848i
\(129\) −59392.2 83192.8i −0.314235 0.440161i
\(130\) 16195.9 49845.8i 0.0840516 0.258684i
\(131\) −71268.0 −0.362841 −0.181420 0.983406i \(-0.558069\pi\)
−0.181420 + 0.983406i \(0.558069\pi\)
\(132\) −305844. 290738.i −1.52779 1.45233i
\(133\) 341847. 1.67572
\(134\) −88004.8 + 270851.i −0.423394 + 1.30307i
\(135\) −37048.1 53763.9i −0.174957 0.253896i
\(136\) −384969. 279696.i −1.78476 1.29670i
\(137\) 235626. 76559.5i 1.07256 0.348496i 0.281076 0.959686i \(-0.409309\pi\)
0.791484 + 0.611190i \(0.209309\pi\)
\(138\) 528406. 166843.i 2.36195 0.745781i
\(139\) 28178.0 38783.7i 0.123701 0.170260i −0.742675 0.669652i \(-0.766443\pi\)
0.866376 + 0.499392i \(0.166443\pi\)
\(140\) −118694. + 86236.5i −0.511811 + 0.371853i
\(141\) −170596. 57003.1i −0.722639 0.241463i
\(142\) 690978.i 2.87570i
\(143\) 59184.8 + 107094.i 0.242030 + 0.437949i
\(144\) 332265. + 5527.90i 1.33530 + 0.0222154i
\(145\) −62196.0 20208.7i −0.245664 0.0798212i
\(146\) −183427. 252466.i −0.712167 0.980214i
\(147\) −11083.6 8194.43i −0.0423047 0.0312770i
\(148\) 4116.09 + 12668.0i 0.0154465 + 0.0475395i
\(149\) −59646.3 183572.i −0.220099 0.677395i −0.998752 0.0499404i \(-0.984097\pi\)
0.778653 0.627454i \(-0.215903\pi\)
\(150\) −353499. 261352.i −1.28280 0.948413i
\(151\) 247390. + 340504.i 0.882959 + 1.21529i 0.975593 + 0.219589i \(0.0704715\pi\)
−0.0926334 + 0.995700i \(0.529528\pi\)
\(152\) 910978. + 295995.i 3.19815 + 1.03914i
\(153\) 326990. + 5440.15i 1.12929 + 0.0187881i
\(154\) 62184.0 501170.i 0.211289 1.70288i
\(155\) 47308.2i 0.158164i
\(156\) −304078. 101605.i −1.00040 0.334274i
\(157\) −1878.51 + 1364.82i −0.00608225 + 0.00441902i −0.590822 0.806802i \(-0.701197\pi\)
0.584740 + 0.811221i \(0.301197\pi\)
\(158\) −498197. + 685710.i −1.58766 + 2.18523i
\(159\) 195204. 61635.2i 0.612343 0.193346i
\(160\) −38091.6 + 12376.7i −0.117633 + 0.0382213i
\(161\) 363879. + 264373.i 1.10635 + 0.803809i
\(162\) −487661. + 330094.i −1.45993 + 0.988211i
\(163\) 16782.3 51650.6i 0.0494746 0.152267i −0.923267 0.384159i \(-0.874492\pi\)
0.972742 + 0.231892i \(0.0744915\pi\)
\(164\) −1.13555e6 −3.29683
\(165\) −106041. + 19558.7i −0.303225 + 0.0559282i
\(166\) −741086. −2.08737
\(167\) 27781.1 85501.4i 0.0770829 0.237237i −0.905089 0.425222i \(-0.860196\pi\)
0.982172 + 0.187986i \(0.0601958\pi\)
\(168\) 404105. + 566045.i 1.10464 + 1.54731i
\(169\) −225173. 163598.i −0.606457 0.440617i
\(170\) −220019. + 71488.6i −0.583900 + 0.189721i
\(171\) −629385. + 192985.i −1.64599 + 0.504700i
\(172\) 259987. 357841.i 0.670085 0.922293i
\(173\) 374003. 271729.i 0.950080 0.690274i −0.000745610 1.00000i \(-0.500237\pi\)
0.950826 + 0.309726i \(0.100237\pi\)
\(174\) −186923. + 559413.i −0.468046 + 1.40075i
\(175\) 356839.i 0.880801i
\(176\) 232570. 497093.i 0.565941 1.20964i
\(177\) −3460.06 + 415976.i −0.00830137 + 0.998009i
\(178\) 466803. + 151674.i 1.10429 + 0.358806i
\(179\) −416368. 573081.i −0.971280 1.33685i −0.941398 0.337299i \(-0.890487\pi\)
−0.0298823 0.999553i \(-0.509513\pi\)
\(180\) 169848. 225780.i 0.390732 0.519403i
\(181\) 21713.4 + 66826.9i 0.0492641 + 0.151619i 0.972662 0.232224i \(-0.0746002\pi\)
−0.923398 + 0.383843i \(0.874600\pi\)
\(182\) −118566. 364908.i −0.265327 0.816592i
\(183\) 264713. 358045.i 0.584315 0.790332i
\(184\) 740777. + 1.01959e6i 1.61303 + 2.22015i
\(185\) 3237.08 + 1051.79i 0.00695384 + 0.00225944i
\(186\) 426660. + 3548.93i 0.904272 + 0.00752168i
\(187\) 228878. 489202.i 0.478629 1.02302i
\(188\) 778322.i 1.60607i
\(189\) −450768. 159003.i −0.917908 0.323781i
\(190\) 376743. 273720.i 0.757115 0.550076i
\(191\) 34495.7 47479.3i 0.0684198 0.0941718i −0.773436 0.633875i \(-0.781463\pi\)
0.841856 + 0.539703i \(0.181463\pi\)
\(192\) −96633.3 306045.i −0.189179 0.599146i
\(193\) 27977.4 9090.41i 0.0540648 0.0175667i −0.281860 0.959456i \(-0.590951\pi\)
0.335925 + 0.941889i \(0.390951\pi\)
\(194\) 191536. + 139159.i 0.365381 + 0.265465i
\(195\) −66676.5 + 47601.1i −0.125570 + 0.0896458i
\(196\) 18431.5 56726.2i 0.0342704 0.105474i
\(197\) 722159. 1.32577 0.662884 0.748722i \(-0.269332\pi\)
0.662884 + 0.748722i \(0.269332\pi\)
\(198\) 168440. + 957824.i 0.305339 + 1.73629i
\(199\) −398686. −0.713671 −0.356835 0.934167i \(-0.616144\pi\)
−0.356835 + 0.934167i \(0.616144\pi\)
\(200\) 308976. 950931.i 0.546198 1.68102i
\(201\) 362305. 258653.i 0.632535 0.451573i
\(202\) 358677. + 260594.i 0.618480 + 0.449352i
\(203\) −455321. + 147943.i −0.775492 + 0.251973i
\(204\) 426094. + 1.34947e6i 0.716853 + 2.27033i
\(205\) −170557. + 234752.i −0.283456 + 0.390143i
\(206\) 435957. 316741.i 0.715773 0.520040i
\(207\) −819197. 281323.i −1.32881 0.456330i
\(208\) 416960.i 0.668246i
\(209\) −133869. + 1.07891e6i −0.211990 + 1.70852i
\(210\) 338114. + 2812.41i 0.529072 + 0.00440079i
\(211\) 295619. + 96052.5i 0.457116 + 0.148526i 0.528519 0.848922i \(-0.322748\pi\)
−0.0714029 + 0.997448i \(0.522748\pi\)
\(212\) 520653. + 716618.i 0.795626 + 1.09509i
\(213\) 642101. 868492.i 0.969738 1.31165i
\(214\) −192284. 591790.i −0.287018 0.883351i
\(215\) −34926.9 107494.i −0.0515304 0.158594i
\(216\) −1.06356e6 814031.i −1.55106 1.18715i
\(217\) 203568. + 280187.i 0.293468 + 0.403924i
\(218\) −865074. 281080.i −1.23285 0.400579i
\(219\) −4057.30 + 487778.i −0.00571646 + 0.687245i
\(220\) −225692. 408386.i −0.314384 0.568871i
\(221\) 410341.i 0.565151i
\(222\) 9728.67 29115.5i 0.0132486 0.0396498i
\(223\) −856628. + 622377.i −1.15353 + 0.838091i −0.988947 0.148271i \(-0.952629\pi\)
−0.164587 + 0.986363i \(0.552629\pi\)
\(224\) −172344. + 237211.i −0.229497 + 0.315875i
\(225\) 201449. + 656988.i 0.265283 + 0.865169i
\(226\) −976253. + 317204.i −1.27143 + 0.413112i
\(227\) −242231. 175991.i −0.312008 0.226687i 0.420750 0.907177i \(-0.361767\pi\)
−0.732758 + 0.680490i \(0.761767\pi\)
\(228\) −1.65515e6 2.31843e6i −2.10863 2.95363i
\(229\) 151421. 466026.i 0.190808 0.587248i −0.809192 0.587545i \(-0.800095\pi\)
1.00000 0.000297029i \(9.45474e-5\pi\)
\(230\) 612711. 0.763723
\(231\) −543878. + 572136.i −0.670613 + 0.705455i
\(232\) −1.34147e6 −1.63629
\(233\) −273321. + 841197.i −0.329825 + 1.01510i 0.639390 + 0.768883i \(0.279187\pi\)
−0.969215 + 0.246215i \(0.920813\pi\)
\(234\) 424299. + 604909.i 0.506562 + 0.722188i
\(235\) −160902. 116902.i −0.190061 0.138087i
\(236\) −1.71197e6 + 556251.i −2.00085 + 0.650116i
\(237\) 1.26339e6 398914.i 1.46106 0.461326i
\(238\) −995471. + 1.37015e6i −1.13916 + 1.56792i
\(239\) 609646. 442934.i 0.690372 0.501585i −0.186410 0.982472i \(-0.559685\pi\)
0.876782 + 0.480887i \(0.159685\pi\)
\(240\) 348507. + 116450.i 0.390556 + 0.130501i
\(241\) 507817.i 0.563202i −0.959532 0.281601i \(-0.909135\pi\)
0.959532 0.281601i \(-0.0908655\pi\)
\(242\) 1.55741e6 + 392522.i 1.70948 + 0.430849i
\(243\) 919687. + 38270.7i 0.999135 + 0.0415767i
\(244\) 1.83248e6 + 595409.i 1.97045 + 0.640237i
\(245\) −8958.62 12330.5i −0.00953512 0.0131240i
\(246\) 2.10437e6 + 1.55582e6i 2.21709 + 1.63916i
\(247\) 255247. + 785570.i 0.266206 + 0.819299i
\(248\) 299877. + 922927.i 0.309610 + 0.952880i
\(249\) 931473. + 688665.i 0.952077 + 0.703897i
\(250\) −601468. 827850.i −0.608643 0.837725i
\(251\) −1.43568e6 466480.i −1.43838 0.467357i −0.516985 0.855994i \(-0.672946\pi\)
−0.921391 + 0.388638i \(0.872946\pi\)
\(252\) 34406.5 2.06807e6i 0.0341302 2.05146i
\(253\) −976893. + 1.04492e6i −0.959502 + 1.02632i
\(254\) 251927.i 0.245014i
\(255\) 342975. + 114602.i 0.330302 + 0.110367i
\(256\) 1.72345e6 1.25216e6i 1.64361 1.19415i
\(257\) −622580. + 856908.i −0.587980 + 0.809285i −0.994542 0.104338i \(-0.966728\pi\)
0.406562 + 0.913623i \(0.366728\pi\)
\(258\) −972079. + 306932.i −0.909185 + 0.287074i
\(259\) 23697.8 7699.90i 0.0219513 0.00713240i
\(260\) −286799. 208371.i −0.263114 0.191163i
\(261\) 754786. 529427.i 0.685839 0.481066i
\(262\) −219628. + 675947.i −0.197667 + 0.608358i
\(263\) 295852. 0.263745 0.131873 0.991267i \(-0.457901\pi\)
0.131873 + 0.991267i \(0.457901\pi\)
\(264\) −1.94476e6 + 1.05374e6i −1.71734 + 0.930518i
\(265\) 226347. 0.197998
\(266\) 1.05348e6 3.24227e6i 0.912896 2.80961i
\(267\) −445782. 624422.i −0.382687 0.536044i
\(268\) 1.55840e6 + 1.13224e6i 1.32538 + 0.962948i
\(269\) −1.15363e6 + 374838.i −0.972046 + 0.315837i −0.751642 0.659572i \(-0.770738\pi\)
−0.220404 + 0.975409i \(0.570738\pi\)
\(270\) −624100. + 185700.i −0.521008 + 0.155025i
\(271\) 901471. 1.24077e6i 0.745639 1.02628i −0.252635 0.967562i \(-0.581297\pi\)
0.998274 0.0587225i \(-0.0187027\pi\)
\(272\) −1.48897e6 + 1.08180e6i −1.22029 + 0.886592i
\(273\) −190070. + 568833.i −0.154350 + 0.461932i
\(274\) 2.47075e6i 1.98816i
\(275\) 1.12623e6 + 139740.i 0.898040 + 0.111427i
\(276\) 31174.7 3.74789e6i 0.0246337 2.96152i
\(277\) −438937. 142619.i −0.343719 0.111681i 0.132070 0.991240i \(-0.457837\pi\)
−0.475789 + 0.879559i \(0.657837\pi\)
\(278\) −281010. 386777.i −0.218077 0.300157i
\(279\) −532972. 400940.i −0.409915 0.308368i
\(280\) 237643. + 731390.i 0.181147 + 0.557512i
\(281\) −3223.82 9921.89i −0.00243559 0.00749598i 0.949831 0.312763i \(-0.101254\pi\)
−0.952267 + 0.305267i \(0.901254\pi\)
\(282\) −1.06638e6 + 1.44236e6i −0.798527 + 1.08007i
\(283\) −470286. 647293.i −0.349056 0.480435i 0.598003 0.801494i \(-0.295961\pi\)
−0.947059 + 0.321059i \(0.895961\pi\)
\(284\) 4.44496e6 + 1.44426e6i 3.27018 + 1.06255i
\(285\) −727888. 6054.52i −0.530826 0.00441538i
\(286\) 1.19813e6 231309.i 0.866140 0.167216i
\(287\) 2.12425e6i 1.52230i
\(288\) 183394. 534032.i 0.130288 0.379390i
\(289\) −316642. + 230054.i −0.223010 + 0.162026i
\(290\) −383342. + 527625.i −0.267665 + 0.368409i
\(291\) −111427. 352897.i −0.0771359 0.244295i
\(292\) −2.00747e6 + 652267.i −1.37782 + 0.447680i
\(293\) −910633. 661613.i −0.619690 0.450231i 0.233124 0.972447i \(-0.425105\pi\)
−0.852813 + 0.522216i \(0.825105\pi\)
\(294\) −111877. + 79870.4i −0.0754873 + 0.0538912i
\(295\) −142140. + 437462.i −0.0950958 + 0.292675i
\(296\) 69818.8 0.0463173
\(297\) 678359. 1.36042e6i 0.446240 0.894913i
\(298\) −1.92492e6 −1.25566
\(299\) −335837. + 1.03360e6i −0.217245 + 0.668612i
\(300\) −2.42011e6 + 1.72774e6i −1.55250 + 1.10835i
\(301\) −669407. 486352.i −0.425867 0.309410i
\(302\) 3.99192e6 1.29705e6i 2.51863 0.818353i
\(303\) −208662. 660848.i −0.130568 0.413518i
\(304\) 2.17761e6 2.99722e6i 1.35144 1.86009i
\(305\) 398324. 289399.i 0.245181 0.178134i
\(306\) 1.05929e6 3.08460e6i 0.646714 1.88320i
\(307\) 1.91538e6i 1.15987i 0.814663 + 0.579935i \(0.196922\pi\)
−0.814663 + 0.579935i \(0.803078\pi\)
\(308\) −3.09398e6 1.44755e6i −1.85841 0.869472i
\(309\) −842291. 7006.12i −0.501841 0.00417428i
\(310\) 448698. + 145791.i 0.265185 + 0.0861640i
\(311\) 1.41391e6 + 1.94608e6i 0.828934 + 1.14093i 0.988121 + 0.153681i \(0.0491128\pi\)
−0.159187 + 0.987248i \(0.550887\pi\)
\(312\) −999048. + 1.35129e6i −0.581032 + 0.785891i
\(313\) −427646. 1.31616e6i −0.246731 0.759360i −0.995347 0.0963562i \(-0.969281\pi\)
0.748616 0.663004i \(-0.230719\pi\)
\(314\) 7155.67 + 22022.9i 0.00409568 + 0.0126052i
\(315\) −422363. 317732.i −0.239833 0.180420i
\(316\) 3.36976e6 + 4.63808e6i 1.89837 + 2.61288i
\(317\) −2.74938e6 893329.i −1.53669 0.499302i −0.586232 0.810143i \(-0.699389\pi\)
−0.950462 + 0.310841i \(0.899389\pi\)
\(318\) 16979.9 2.04137e6i 0.00941604 1.13202i
\(319\) −288620. 1.49499e6i −0.158800 0.822546i
\(320\) 354873.i 0.193731i
\(321\) −308247. + 922505.i −0.166969 + 0.499697i
\(322\) 3.62884e6 2.63651e6i 1.95042 1.41706i
\(323\) 2.14304e6 2.94964e6i 1.14294 1.57312i
\(324\) 1.10415e6 + 3.82700e6i 0.584342 + 2.02533i
\(325\) 820023. 266442.i 0.430643 0.139925i
\(326\) −438165. 318346.i −0.228346 0.165903i
\(327\) 826116. + 1.15717e6i 0.427240 + 0.598451i
\(328\) −1.83933e6 + 5.66086e6i −0.944004 + 2.90535i
\(329\) −1.45599e6 −0.741600
\(330\) −141284. + 1.06603e6i −0.0714178 + 0.538871i
\(331\) −1.08115e6 −0.542394 −0.271197 0.962524i \(-0.587419\pi\)
−0.271197 + 0.962524i \(0.587419\pi\)
\(332\) −1.54899e6 + 4.76730e6i −0.771264 + 2.37371i
\(333\) −39283.9 + 27554.8i −0.0194135 + 0.0136172i
\(334\) −725331. 526984.i −0.355771 0.258482i
\(335\) 468137. 152107.i 0.227909 0.0740520i
\(336\) 2.56516e6 809945.i 1.23956 0.391388i
\(337\) 2.12194e6 2.92060e6i 1.01779 1.40087i 0.104048 0.994572i \(-0.466820\pi\)
0.913742 0.406295i \(-0.133180\pi\)
\(338\) −2.24558e6 + 1.63151e6i −1.06915 + 0.776779i
\(339\) 1.52182e6 + 508503.i 0.719225 + 0.240322i
\(340\) 1.56478e6i 0.734099i
\(341\) −964027. + 532765.i −0.448955 + 0.248113i
\(342\) −109208. + 6.56417e6i −0.0504882 + 3.03469i
\(343\) −2.12312e6 689842.i −0.974403 0.316603i
\(344\) −1.36277e6 1.87569e6i −0.620905 0.854602i
\(345\) −770118. 569370.i −0.348345 0.257541i
\(346\) −1.42466e6 4.38466e6i −0.639767 1.96900i
\(347\) −120889. 372057.i −0.0538967 0.165877i 0.920485 0.390778i \(-0.127794\pi\)
−0.974382 + 0.224901i \(0.927794\pi\)
\(348\) 3.20792e6 + 2.37171e6i 1.41996 + 1.04982i
\(349\) 432812. + 595714.i 0.190211 + 0.261803i 0.893462 0.449139i \(-0.148269\pi\)
−0.703251 + 0.710942i \(0.748269\pi\)
\(350\) −3.38447e6 1.09968e6i −1.47680 0.479840i
\(351\) 28816.9 1.15460e6i 0.0124847 0.500222i
\(352\) −681179. 636834.i −0.293025 0.273949i
\(353\) 456511.i 0.194991i −0.995236 0.0974956i \(-0.968917\pi\)
0.995236 0.0974956i \(-0.0310832\pi\)
\(354\) 3.93469e6 + 1.31474e6i 1.66879 + 0.557611i
\(355\) 966195. 701981.i 0.406906 0.295634i
\(356\) 1.95139e6 2.68586e6i 0.816054 1.12320i
\(357\) 2.52444e6 797087.i 1.04832 0.331006i
\(358\) −6.71856e6 + 2.18299e6i −2.77057 + 0.900212i
\(359\) 2.72419e6 + 1.97924e6i 1.11558 + 0.810517i 0.983533 0.180727i \(-0.0578450\pi\)
0.132047 + 0.991243i \(0.457845\pi\)
\(360\) −850429. 1.21243e6i −0.345845 0.493059i
\(361\) −1.50276e6 + 4.62502e6i −0.606906 + 1.86786i
\(362\) 700739. 0.281051
\(363\) −1.59275e6 1.94060e6i −0.634427 0.772983i
\(364\) −2.59522e6 −1.02665
\(365\) −166675. + 512973.i −0.0654844 + 0.201540i
\(366\) −2.58013e6 3.61408e6i −1.00679 1.41025i
\(367\) 1.27740e6 + 928086.i 0.495065 + 0.359686i 0.807129 0.590375i \(-0.201020\pi\)
−0.312064 + 0.950061i \(0.601020\pi\)
\(368\) 4.63591e6 1.50630e6i 1.78449 0.579817i
\(369\) −1.19922e6 3.91103e6i −0.458493 1.49529i
\(370\) 19951.6 27461.0i 0.00757658 0.0104283i
\(371\) 1.34057e6 973977.i 0.505654 0.367379i
\(372\) 914617. 2.73722e6i 0.342675 1.02554i
\(373\) 1.28174e6i 0.477012i 0.971141 + 0.238506i \(0.0766577\pi\)
−0.971141 + 0.238506i \(0.923342\pi\)
\(374\) −3.93453e6 3.67839e6i −1.45450 1.35981i
\(375\) −13304.1 + 1.59945e6i −0.00488549 + 0.587344i
\(376\) −3.88004e6 1.26070e6i −1.41536 0.459878i
\(377\) −679950. 935870.i −0.246390 0.339127i
\(378\) −2.89722e6 + 3.78534e6i −1.04292 + 1.36262i
\(379\) 1.30191e6 + 4.00687e6i 0.465568 + 1.43287i 0.858267 + 0.513204i \(0.171542\pi\)
−0.392699 + 0.919667i \(0.628458\pi\)
\(380\) −973347. 2.99566e6i −0.345787 1.06422i
\(381\) 234107. 316648.i 0.0826232 0.111754i
\(382\) −344015. 473496.i −0.120620 0.166019i
\(383\) 4.85737e6 + 1.57825e6i 1.69201 + 0.549769i 0.987181 0.159604i \(-0.0510217\pi\)
0.704834 + 0.709373i \(0.251022\pi\)
\(384\) −4.35957e6 36262.6i −1.50874 0.0125496i
\(385\) −763960. + 422199.i −0.262675 + 0.145166i
\(386\) 293368.i 0.100218i
\(387\) 1.50703e6 + 517534.i 0.511498 + 0.175655i
\(388\) 1.29553e6 941258.i 0.436886 0.317416i
\(389\) 319117. 439227.i 0.106924 0.147169i −0.752201 0.658933i \(-0.771008\pi\)
0.859126 + 0.511765i \(0.171008\pi\)
\(390\) 245997. + 779092.i 0.0818971 + 0.259374i
\(391\) 4.56231e6 1.48239e6i 1.50919 0.490365i
\(392\) −252933. 183766.i −0.0831362 0.0604020i
\(393\) 904184. 645506.i 0.295308 0.210824i
\(394\) 2.22550e6 6.84938e6i 0.722248 2.22285i
\(395\) 1.46496e6 0.472425
\(396\) 6.51361e6 + 918457.i 2.08730 + 0.294321i
\(397\) 5.45539e6 1.73720 0.868600 0.495514i \(-0.165020\pi\)
0.868600 + 0.495514i \(0.165020\pi\)
\(398\) −1.22864e6 + 3.78136e6i −0.388792 + 1.19658i
\(399\) −4.33705e6 + 3.09626e6i −1.36383 + 0.973656i
\(400\) −3.12867e6 2.27311e6i −0.977709 0.710347i
\(401\) −2.81417e6 + 914381.i −0.873957 + 0.283966i −0.711446 0.702741i \(-0.751959\pi\)
−0.162511 + 0.986707i \(0.551959\pi\)
\(402\) −1.33669e6 4.23341e6i −0.412540 1.30655i
\(403\) −491877. + 677011.i −0.150867 + 0.207651i
\(404\) 2.42606e6 1.76264e6i 0.739517 0.537290i
\(405\) 956997. + 346547.i 0.289916 + 0.104984i
\(406\) 4.77444e6i 1.43750i
\(407\) 15021.7 + 77808.8i 0.00449503 + 0.0232832i
\(408\) 7.41748e6 + 61698.1i 2.20600 + 0.0183494i
\(409\) −181361. 58927.9i −0.0536088 0.0174186i 0.282090 0.959388i \(-0.408972\pi\)
−0.335699 + 0.941969i \(0.608972\pi\)
\(410\) 1.70091e6 + 2.34110e6i 0.499714 + 0.687798i
\(411\) −2.29598e6 + 3.10549e6i −0.670444 + 0.906829i
\(412\) −1.12633e6 3.46649e6i −0.326906 1.00611i
\(413\) 1.04057e6 + 3.20254e6i 0.300190 + 0.923890i
\(414\) −5.19277e6 + 6.90277e6i −1.48901 + 1.97935i
\(415\) 752887. + 1.03626e6i 0.214590 + 0.295358i
\(416\) −673801. 218931.i −0.190897 0.0620261i
\(417\) −6215.77 + 747274.i −0.00175047 + 0.210446i
\(418\) 9.82049e6 + 4.59460e6i 2.74911 + 1.28620i
\(419\) 5.26693e6i 1.46562i −0.680432 0.732811i \(-0.738208\pi\)
0.680432 0.732811i \(-0.261792\pi\)
\(420\) 724805. 2.16916e6i 0.200492 0.600024i
\(421\) 170205. 123661.i 0.0468024 0.0340039i −0.564138 0.825680i \(-0.690791\pi\)
0.610940 + 0.791677i \(0.290791\pi\)
\(422\) 1.82203e6 2.50781e6i 0.498053 0.685511i
\(423\) 2.68067e6 821962.i 0.728439 0.223358i
\(424\) 4.41577e6 1.43477e6i 1.19287 0.387586i
\(425\) −3.07900e6 2.23703e6i −0.826871 0.600757i
\(426\) −6.25850e6 8.76651e6i −1.67088 2.34047i
\(427\) 1.11382e6 3.42799e6i 0.295628 0.909851i
\(428\) −4.20881e6 −1.11058
\(429\) −1.72088e6 822644.i −0.451447 0.215809i
\(430\) −1.12717e6 −0.293980
\(431\) 1.66690e6 5.13019e6i 0.432231 1.33027i −0.463666 0.886010i \(-0.653466\pi\)
0.895897 0.444261i \(-0.146534\pi\)
\(432\) −4.26555e6 + 2.93934e6i −1.09968 + 0.757776i
\(433\) −588032. 427230.i −0.150723 0.109507i 0.509868 0.860253i \(-0.329694\pi\)
−0.660591 + 0.750746i \(0.729694\pi\)
\(434\) 3.28480e6 1.06730e6i 0.837114 0.271995i
\(435\) 972126. 306947.i 0.246320 0.0777751i
\(436\) −3.61629e6 + 4.97739e6i −0.911059 + 1.25397i
\(437\) −7.81213e6 + 5.67585e6i −1.95689 + 1.42176i
\(438\) 4.61386e6 + 1.54168e6i 1.14916 + 0.383980i
\(439\) 3.86167e6i 0.956344i −0.878266 0.478172i \(-0.841300\pi\)
0.878266 0.478172i \(-0.158700\pi\)
\(440\) −2.40142e6 + 463616.i −0.591340 + 0.114163i
\(441\) 214840. + 3574.29i 0.0526039 + 0.000875172i
\(442\) −3.89191e6 1.26456e6i −0.947562 0.307881i
\(443\) −3855.69 5306.90i −0.000933454 0.00128479i 0.808550 0.588427i \(-0.200253\pi\)
−0.809483 + 0.587143i \(0.800253\pi\)
\(444\) −166961. 123439.i −0.0401937 0.0297164i
\(445\) −262152. 806820.i −0.0627556 0.193142i
\(446\) 3.26309e6 + 1.00428e7i 0.776769 + 2.39065i
\(447\) 2.41944e6 + 1.78876e6i 0.572724 + 0.423431i
\(448\) −1.52703e6 2.10177e6i −0.359461 0.494756i
\(449\) −2.40360e6 780977.i −0.562660 0.182819i 0.0138576 0.999904i \(-0.495589\pi\)
−0.576518 + 0.817085i \(0.695589\pi\)
\(450\) 6.85206e6 + 113998.i 1.59511 + 0.0265378i
\(451\) −6.70442e6 831868.i −1.55210 0.192581i
\(452\) 6.94310e6i 1.59848i
\(453\) −6.22276e6 2.07928e6i −1.42475 0.476066i
\(454\) −2.41570e6 + 1.75511e6i −0.550050 + 0.399635i
\(455\) −389797. + 536509.i −0.0882694 + 0.121492i
\(456\) −1.42386e7 + 4.49583e6i −3.20668 + 1.01251i
\(457\) −1.74901e6 + 568288.i −0.391744 + 0.127285i −0.498264 0.867025i \(-0.666029\pi\)
0.106520 + 0.994311i \(0.466029\pi\)
\(458\) −3.95342e6 2.87233e6i −0.880662 0.639839i
\(459\) −4.19784e6 + 2.89268e6i −0.930023 + 0.640868i
\(460\) 1.28066e6 3.94148e6i 0.282189 0.868490i
\(461\) 4.02082e6 0.881176 0.440588 0.897709i \(-0.354770\pi\)
0.440588 + 0.897709i \(0.354770\pi\)
\(462\) 3.75039e6 + 6.92162e6i 0.817469 + 1.50870i
\(463\) −1.13351e6 −0.245739 −0.122869 0.992423i \(-0.539210\pi\)
−0.122869 + 0.992423i \(0.539210\pi\)
\(464\) −1.60333e6 + 4.93454e6i −0.345722 + 1.06402i
\(465\) −428491. 600203.i −0.0918988 0.128726i
\(466\) 7.13609e6 + 5.18467e6i 1.52228 + 1.10600i
\(467\) 166459. 54085.8i 0.0353196 0.0114760i −0.291304 0.956631i \(-0.594089\pi\)
0.326623 + 0.945155i \(0.394089\pi\)
\(468\) 4.77814e6 1.46510e6i 1.00843 0.309209i
\(469\) 2.11807e6 2.91527e6i 0.444640 0.611994i
\(470\) −1.60463e6 + 1.16583e6i −0.335065 + 0.243439i
\(471\) 11471.1 34330.1i 0.00238261 0.00713055i
\(472\) 9.43537e6i 1.94941i
\(473\) 1.79713e6 1.92228e6i 0.369341 0.395060i
\(474\) 109897. 1.32121e7i 0.0224668 2.70100i
\(475\) 7.28605e6 + 2.36738e6i 1.48169 + 0.481431i
\(476\) 6.73327e6 + 9.26755e6i 1.36210 + 1.87477i
\(477\) −1.91831e6 + 2.55002e6i −0.386031 + 0.513154i
\(478\) −2.32228e6 7.14724e6i −0.464884 1.43077i
\(479\) 2.90160e6 + 8.93020e6i 0.577828 + 1.77837i 0.626342 + 0.779549i \(0.284552\pi\)
−0.0485138 + 0.998823i \(0.515448\pi\)
\(480\) 371171. 502038.i 0.0735310 0.0994565i
\(481\) 35389.0 + 48708.8i 0.00697438 + 0.00959941i
\(482\) −4.81643e6 1.56495e6i −0.944294 0.306820i
\(483\) −7.01111e6 58318.0i −1.36747 0.0113746i
\(484\) 5.78026e6 9.19813e6i 1.12159 1.78479i
\(485\) 409200.i 0.0789916i
\(486\) 3.19720e6 8.60490e6i 0.614016 1.65255i
\(487\) −4.70612e6 + 3.41920e6i −0.899168 + 0.653284i −0.938252 0.345952i \(-0.887556\pi\)
0.0390839 + 0.999236i \(0.487556\pi\)
\(488\) 5.93639e6 8.17074e6i 1.12842 1.55314i
\(489\) 254904. + 807301.i 0.0482064 + 0.152673i
\(490\) −144557. + 46969.6i −0.0271988 + 0.00883743i
\(491\) −6.61631e6 4.80703e6i −1.23855 0.899857i −0.241046 0.970514i \(-0.577490\pi\)
−0.997501 + 0.0706573i \(0.977490\pi\)
\(492\) 1.44068e7 1.02852e7i 2.68322 1.91558i
\(493\) −1.57788e6 + 4.85620e6i −0.292385 + 0.899870i
\(494\) 8.23740e6 1.51870
\(495\) 1.16820e6 1.20861e6i 0.214292 0.221703i
\(496\) 3.75336e6 0.685040
\(497\) 2.70175e6 8.31512e6i 0.490629 1.51000i
\(498\) 9.40224e6 6.71235e6i 1.69886 1.21283i
\(499\) −7.35641e6 5.34475e6i −1.32256 0.960894i −0.999897 0.0143798i \(-0.995423\pi\)
−0.322661 0.946515i \(-0.604577\pi\)
\(500\) −6.58261e6 + 2.13882e6i −1.17753 + 0.382603i
\(501\) 421963. + 1.33639e6i 0.0751070 + 0.237870i
\(502\) −8.84872e6 + 1.21792e7i −1.56719 + 2.15705i
\(503\) 3.47085e6 2.52172e6i 0.611668 0.444403i −0.238333 0.971183i \(-0.576601\pi\)
0.850001 + 0.526781i \(0.176601\pi\)
\(504\) −1.02539e7 3.52131e6i −1.79809 0.617487i
\(505\) 766283.i 0.133709i
\(506\) 6.90009e6 + 1.24856e7i 1.19806 + 2.16786i
\(507\) 4.33858e6 + 36088.0i 0.749596 + 0.00623509i
\(508\) 1.62061e6 + 526569.i 0.278625 + 0.0905307i
\(509\) 2.13272e6 + 2.93544e6i 0.364871 + 0.502202i 0.951498 0.307655i \(-0.0995444\pi\)
−0.586627 + 0.809858i \(0.699544\pi\)
\(510\) 2.14390e6 2.89980e6i 0.364989 0.493676i
\(511\) 1.22018e6 + 3.75534e6i 0.206715 + 0.636205i
\(512\) −3.79940e6 1.16933e7i −0.640530 1.97135i
\(513\) 6.23711e6 8.14904e6i 1.04638 1.36714i
\(514\) 6.20879e6 + 8.54567e6i 1.03657 + 1.42672i
\(515\) −885798. 287813.i −0.147169 0.0478181i
\(516\) −57350.3 + 6.89478e6i −0.00948225 + 1.13998i
\(517\) 570175. 4.59531e6i 0.0938170 0.756115i
\(518\) 248493.i 0.0406902i
\(519\) −2.28384e6 + 6.83498e6i −0.372176 + 1.11383i
\(520\) −1.50331e6 + 1.09222e6i −0.243803 + 0.177133i
\(521\) −5.54908e6 + 7.63765e6i −0.895626 + 1.23272i 0.0762168 + 0.997091i \(0.475716\pi\)
−0.971842 + 0.235632i \(0.924284\pi\)
\(522\) −2.69535e6 8.79037e6i −0.432951 1.41199i
\(523\) −470165. + 152766.i −0.0751616 + 0.0244215i −0.346356 0.938103i \(-0.612581\pi\)
0.271195 + 0.962524i \(0.412581\pi\)
\(524\) 3.88921e6 + 2.82567e6i 0.618775 + 0.449567i
\(525\) 3.23205e6 + 4.52726e6i 0.511777 + 0.716864i
\(526\) 911733. 2.80603e6i 0.143682 0.442209i
\(527\) 3.69378e6 0.579354
\(528\) 1.55176e6 + 8.41316e6i 0.242237 + 1.31333i
\(529\) −6.26880e6 −0.973969
\(530\) 697540. 2.14681e6i 0.107865 0.331973i
\(531\) −3.72378e6 5.30886e6i −0.573123 0.817081i
\(532\) −1.86551e7 1.35537e7i −2.85772 2.07625i
\(533\) −4.88157e6 + 1.58612e6i −0.744289 + 0.241834i
\(534\) −7.29616e6 + 2.30375e6i −1.10724 + 0.349609i
\(535\) −632154. + 870085.i −0.0954857 + 0.131425i
\(536\) 8.16863e6 5.93486e6i 1.22811 0.892274i
\(537\) 1.04732e7 + 3.49951e6i 1.56726 + 0.523686i
\(538\) 1.20969e7i 1.80184i
\(539\) 150377. 321416.i 0.0222952 0.0476536i
\(540\) −109889. + 4.40289e6i −0.0162170 + 0.649760i
\(541\) −1.01079e7 3.28427e6i −1.48481 0.482442i −0.549261 0.835651i \(-0.685091\pi\)
−0.935545 + 0.353209i \(0.885091\pi\)
\(542\) −8.99008e6 1.23738e7i −1.31451 1.80927i
\(543\) −880761. 651172.i −0.128191 0.0947755i
\(544\) 966363. + 2.97416e6i 0.140005 + 0.430890i
\(545\) 485816. + 1.49519e6i 0.0700617 + 0.215628i
\(546\) 4.80939e6 + 3.55572e6i 0.690413 + 0.510442i
\(547\) 2.86887e6 + 3.94866e6i 0.409961 + 0.564263i 0.963209 0.268754i \(-0.0866118\pi\)
−0.553248 + 0.833017i \(0.686612\pi\)
\(548\) −1.58940e7 5.16426e6i −2.26090 0.734610i
\(549\) −115464. + 6.94017e6i −0.0163499 + 0.982742i
\(550\) 4.79611e6 1.02512e7i 0.676056 1.44500i
\(551\) 1.02784e7i 1.44226i
\(552\) −1.86332e7 6.22612e6i −2.60280 0.869701i
\(553\) 8.67637e6 6.30375e6i 1.20649 0.876569i
\(554\) −2.70537e6 + 3.72362e6i −0.374500 + 0.515455i
\(555\) −50595.7 + 15975.5i −0.00697239 + 0.00220152i
\(556\) −3.07544e6 + 999271.i −0.421910 + 0.137087i
\(557\) 17976.1 + 13060.4i 0.00245503 + 0.00178369i 0.589012 0.808124i \(-0.299517\pi\)
−0.586557 + 0.809908i \(0.699517\pi\)
\(558\) −5.44522e6 + 3.81942e6i −0.740338 + 0.519293i
\(559\) 617820. 1.90145e6i 0.0836243 0.257369i
\(560\) 2.97442e6 0.400804
\(561\) 1.52713e6 + 8.27960e6i 0.204865 + 1.11071i
\(562\) −104040. −0.0138950
\(563\) 3.41570e6 1.05124e7i 0.454159 1.39776i −0.417960 0.908465i \(-0.637255\pi\)
0.872119 0.489293i \(-0.162745\pi\)
\(564\) 7.04961e6 + 9.87465e6i 0.933185 + 1.30715i
\(565\) 1.43535e6 + 1.04284e6i 0.189163 + 0.137435i
\(566\) −7.58859e6 + 2.46568e6i −0.995680 + 0.323516i
\(567\) 7.15911e6 2.06552e6i 0.935193 0.269819i
\(568\) 1.43996e7 1.98194e7i 1.87275 2.57762i
\(569\) −293279. + 213080.i −0.0379752 + 0.0275906i −0.606611 0.794999i \(-0.707471\pi\)
0.568636 + 0.822589i \(0.307471\pi\)
\(570\) −2.30058e6 + 6.88505e6i −0.296585 + 0.887606i
\(571\) 3.49015e6i 0.447975i −0.974592 0.223987i \(-0.928093\pi\)
0.974592 0.223987i \(-0.0719074\pi\)
\(572\) 1.01630e6 8.19086e6i 0.129877 1.04674i
\(573\) −7609.40 + 914818.i −0.000968197 + 0.116399i
\(574\) 2.01476e7 + 6.54636e6i 2.55237 + 0.829316i
\(575\) 5.92478e6 + 8.15475e6i 0.747313 + 1.02859i
\(576\) 3.99799e6 + 3.00758e6i 0.502094 + 0.377712i
\(577\) 4.06324e6 + 1.25054e7i 0.508081 + 1.56371i 0.795528 + 0.605916i \(0.207193\pi\)
−0.287447 + 0.957796i \(0.592807\pi\)
\(578\) 1.20616e6 + 3.71218e6i 0.150171 + 0.462178i
\(579\) −272616. + 368735.i −0.0337952 + 0.0457107i
\(580\) 2.59289e6 + 3.56880e6i 0.320047 + 0.440507i
\(581\) 8.91811e6 + 2.89767e6i 1.09605 + 0.356130i
\(582\) −3.69046e6 30697.0i −0.451620 0.00375655i
\(583\) 2.54903e6 + 4.61241e6i 0.310601 + 0.562026i
\(584\) 1.10640e7i 1.34240i
\(585\) 414788. 1.20784e6i 0.0501114 0.145922i
\(586\) −9.08144e6 + 6.59805e6i −1.09247 + 0.793728i
\(587\) −1.68134e6 + 2.31417e6i −0.201401 + 0.277204i −0.897756 0.440493i \(-0.854804\pi\)
0.696355 + 0.717697i \(0.254804\pi\)
\(588\) 279953. + 886633.i 0.0333920 + 0.105755i
\(589\) −7.07148e6 + 2.29766e6i −0.839890 + 0.272897i
\(590\) 3.71110e6 + 2.69627e6i 0.438908 + 0.318885i
\(591\) −9.16211e6 + 6.54092e6i −1.07901 + 0.770319i
\(592\) 83447.7 256825.i 0.00978611 0.0301185i
\(593\) −5.67693e6 −0.662944 −0.331472 0.943465i \(-0.607545\pi\)
−0.331472 + 0.943465i \(0.607545\pi\)
\(594\) −1.08125e7 1.06264e7i −1.25736 1.23572i
\(595\) 2.92720e6 0.338969
\(596\) −4.02339e6 + 1.23827e7i −0.463956 + 1.42791i
\(597\) 5.05817e6 3.61108e6i 0.580841 0.414668i
\(598\) 8.76830e6 + 6.37054e6i 1.00268 + 0.728490i
\(599\) −2.59919e6 + 844527.i −0.295985 + 0.0961715i −0.453245 0.891386i \(-0.649734\pi\)
0.157260 + 0.987557i \(0.449734\pi\)
\(600\) 4.69300e6 + 1.48631e7i 0.532197 + 1.68551i
\(601\) 2.23979e6 3.08280e6i 0.252942 0.348144i −0.663597 0.748090i \(-0.730971\pi\)
0.916539 + 0.399946i \(0.130971\pi\)
\(602\) −6.67577e6 + 4.85023e6i −0.750776 + 0.545471i
\(603\) −2.25386e6 + 6.56313e6i −0.252426 + 0.735051i
\(604\) 2.83905e7i 3.16651i
\(605\) −1.03334e6 2.57649e6i −0.114777 0.286181i
\(606\) −6.91090e6 57484.4i −0.764457 0.00635870i
\(607\) 6.88566e6 + 2.23729e6i 0.758532 + 0.246462i 0.662648 0.748931i \(-0.269432\pi\)
0.0958835 + 0.995393i \(0.469432\pi\)
\(608\) −3.70007e6 5.09271e6i −0.405930 0.558714i
\(609\) 4.43672e6 6.00101e6i 0.484751 0.655663i
\(610\) −1.51730e6 4.66978e6i −0.165100 0.508126i
\(611\) −1.08715e6 3.34590e6i −0.117811 0.362585i
\(612\) −1.76287e7 1.32616e7i −1.90257 1.43125i
\(613\) 974039. + 1.34065e6i 0.104695 + 0.144100i 0.858150 0.513400i \(-0.171614\pi\)
−0.753455 + 0.657500i \(0.771614\pi\)
\(614\) 1.81666e7 + 5.90268e6i 1.94470 + 0.631871i
\(615\) 37623.1 4.52313e6i 0.00401113 0.482227i
\(616\) −1.22277e7 + 1.30792e7i −1.29836 + 1.38877i
\(617\) 9.19781e6i 0.972684i −0.873769 0.486342i \(-0.838331\pi\)
0.873769 0.486342i \(-0.161669\pi\)
\(618\) −2.66216e6 + 7.96718e6i −0.280390 + 0.839139i
\(619\) −1.08437e7 + 7.87838e6i −1.13749 + 0.826438i −0.986768 0.162137i \(-0.948161\pi\)
−0.150727 + 0.988575i \(0.548161\pi\)
\(620\) 1.87570e6 2.58168e6i 0.195968 0.269726i
\(621\) 1.29413e7 3.85066e6i 1.34663 0.400688i
\(622\) 2.28150e7 7.41303e6i 2.36453 0.768281i
\(623\) −5.02438e6 3.65043e6i −0.518636 0.376811i
\(624\) 3.77660e6 + 5.29002e6i 0.388275 + 0.543871i
\(625\) 2.18430e6 6.72259e6i 0.223672 0.688393i
\(626\) −1.38011e7 −1.40760
\(627\) −8.07379e6 1.49008e7i −0.820179 1.51370i
\(628\) 156626. 0.0158477
\(629\) 82123.0 252748.i 0.00827633 0.0254719i
\(630\) −4.31516e6 + 3.02677e6i −0.433157 + 0.303828i
\(631\) −7.64910e6 5.55740e6i −0.764781 0.555646i 0.135592 0.990765i \(-0.456706\pi\)
−0.900373 + 0.435119i \(0.856706\pi\)
\(632\) 2.85796e7 9.28609e6i 2.84619 0.924784i
\(633\) −4.62054e6 + 1.45893e6i −0.458335 + 0.144719i
\(634\) −1.69457e7 + 2.33237e7i −1.67431 + 2.30449i
\(635\) 352270. 255939.i 0.0346690 0.0251885i
\(636\) −1.30963e7 4.37601e6i −1.28383 0.428979i
\(637\) 269603.i 0.0263255i
\(638\) −1.50688e7 1.86970e6i −1.46563 0.181853i
\(639\) −280075. + 1.68345e7i −0.0271345 + 1.63097i
\(640\) −4.58475e6 1.48968e6i −0.442452 0.143761i
\(641\) 2.12492e6 + 2.92471e6i 0.204267 + 0.281149i 0.898844 0.438269i \(-0.144408\pi\)
−0.694577 + 0.719419i \(0.744408\pi\)
\(642\) 7.79964e6 + 5.76650e6i 0.746856 + 0.552172i
\(643\) −1.80649e6 5.55980e6i −0.172309 0.530313i 0.827191 0.561920i \(-0.189937\pi\)
−0.999500 + 0.0316078i \(0.989937\pi\)
\(644\) −9.37541e6 2.88546e7i −0.890791 2.74157i
\(645\) 1.41674e6 + 1.04744e6i 0.134088 + 0.0991354i
\(646\) −2.13718e7 2.94158e7i −2.01493 2.77331i
\(647\) 1.62291e7 + 5.27315e6i 1.52417 + 0.495232i 0.946957 0.321362i \(-0.104141\pi\)
0.577212 + 0.816594i \(0.304141\pi\)
\(648\) 2.08666e7 + 694508.i 1.95215 + 0.0649740i
\(649\) −1.05151e7 + 2.03004e6i −0.979949 + 0.189188i
\(650\) 8.59867e6i 0.798267i
\(651\) −5.12047e6 1.71096e6i −0.473541 0.158229i
\(652\) −2.96371e6 + 2.15326e6i −0.273034 + 0.198371i
\(653\) 4.36095e6 6.00233e6i 0.400219 0.550854i −0.560580 0.828100i \(-0.689422\pi\)
0.960799 + 0.277246i \(0.0894217\pi\)
\(654\) 1.35211e7 4.26928e6i 1.23614 0.390310i
\(655\) 1.16830e6 379604.i 0.106402 0.0345723i
\(656\) 1.86249e7 + 1.35318e7i 1.68979 + 1.22771i
\(657\) −4.36655e6 6.22523e6i −0.394661 0.562655i
\(658\) −4.48697e6 + 1.38095e7i −0.404007 + 1.24341i
\(659\) −3.07316e6 −0.275659 −0.137829 0.990456i \(-0.544013\pi\)
−0.137829 + 0.990456i \(0.544013\pi\)
\(660\) 6.56231e6 + 3.13703e6i 0.586404 + 0.280323i
\(661\) 1.62900e7 1.45017 0.725084 0.688660i \(-0.241801\pi\)
0.725084 + 0.688660i \(0.241801\pi\)
\(662\) −3.33180e6 + 1.02542e7i −0.295484 + 0.909406i
\(663\) 3.71665e6 + 5.20604e6i 0.328373 + 0.459964i
\(664\) 2.12566e7 + 1.54438e7i 1.87100 + 1.35936i
\(665\) −5.60392e6 + 1.82082e6i −0.491403 + 0.159667i
\(666\) 140283. + 457508.i 0.0122552 + 0.0399681i
\(667\) 7.94896e6 1.09408e7i 0.691824 0.952214i
\(668\) −4.90607e6 + 3.56447e6i −0.425395 + 0.309068i
\(669\) 5.23098e6 1.56550e7i 0.451875 1.35235i
\(670\) 4.90883e6i 0.422465i
\(671\) 1.03830e7 + 4.85779e6i 0.890260 + 0.416516i
\(672\) 38017.3 4.57053e6i 0.00324757 0.390430i
\(673\) −1.72302e7 5.59843e6i −1.46640 0.476462i −0.536382 0.843976i \(-0.680209\pi\)
−0.930018 + 0.367513i \(0.880209\pi\)
\(674\) −2.11614e7 2.91262e7i −1.79430 2.46964i
\(675\) −8.50644e6 6.51066e6i −0.718602 0.550003i
\(676\) 5.80164e6 + 1.78556e7i 0.488297 + 1.50282i
\(677\) 913131. + 2.81033e6i 0.0765704 + 0.235660i 0.982014 0.188806i \(-0.0604619\pi\)
−0.905444 + 0.424466i \(0.860462\pi\)
\(678\) 9.51277e6 1.28668e7i 0.794754 1.07497i
\(679\) −1.76080e6 2.42353e6i −0.146566 0.201731i
\(680\) 7.80061e6 + 2.53457e6i 0.646929 + 0.210200i
\(681\) 4.66725e6 + 38821.9i 0.385650 + 0.00320781i
\(682\) 2.08218e6 + 1.07852e7i 0.171418 + 0.887908i
\(683\) 6.38682e6i 0.523881i 0.965084 + 0.261940i \(0.0843624\pi\)
−0.965084 + 0.261940i \(0.915638\pi\)
\(684\) 4.19981e7 + 1.44227e7i 3.43233 + 1.17871i
\(685\) −3.45484e6 + 2.51009e6i −0.281321 + 0.204392i
\(686\) −1.30857e7 + 1.80110e7i −1.06166 + 1.46126i
\(687\) 2.29991e6 + 7.28401e6i 0.185917 + 0.588815i
\(688\) −8.52841e6 + 2.77105e6i −0.686905 + 0.223189i
\(689\) 3.23918e6 + 2.35340e6i 0.259948 + 0.188863i
\(690\) −7.77352e6 + 5.54960e6i −0.621577 + 0.443750i
\(691\) 789562. 2.43002e6i 0.0629059 0.193604i −0.914664 0.404214i \(-0.867545\pi\)
0.977570 + 0.210610i \(0.0675450\pi\)
\(692\) −3.11836e7 −2.47549
\(693\) 1.71814e6 1.21849e7i 0.135902 0.963805i
\(694\) −3.90135e6 −0.307480
\(695\) −255346. + 785873.i −0.0200524 + 0.0617149i
\(696\) 1.70194e7 1.21503e7i 1.33174 0.950745i
\(697\) 1.83292e7 + 1.33169e7i 1.42910 + 1.03830i
\(698\) 6.98391e6 2.26921e6i 0.542575 0.176293i
\(699\) −4.15144e6 1.31479e7i −0.321371 1.01781i
\(700\) −1.41482e7 + 1.94733e7i −1.09133 + 1.50208i
\(701\) 1.37433e7 9.98508e6i 1.05632 0.767462i 0.0829161 0.996557i \(-0.473577\pi\)
0.973404 + 0.229095i \(0.0735767\pi\)
\(702\) −1.08621e7 3.83147e6i −0.831897 0.293442i
\(703\) 534953.i 0.0408251i
\(704\) 7.23146e6 3.99643e6i 0.549914 0.303907i
\(705\) 3.10022e6 + 25787.4i 0.234920 + 0.00195405i
\(706\) −4.32982e6 1.40684e6i −0.326932 0.106227i
\(707\) −3.29733e6 4.53839e6i −0.248093 0.341470i
\(708\) 1.66817e7 2.25633e7i 1.25071 1.69168i
\(709\) −843988. 2.59753e6i −0.0630552 0.194064i 0.914566 0.404436i \(-0.132532\pi\)
−0.977621 + 0.210373i \(0.932532\pi\)
\(710\) −3.68045e6 1.13273e7i −0.274003 0.843294i
\(711\) −1.24156e7 + 1.65042e7i −0.921074 + 1.22439i
\(712\) −1.02285e7 1.40784e7i −0.756161 1.04077i
\(713\) −9.30418e6 3.02311e6i −0.685416 0.222705i
\(714\) 219590. 2.63996e7i 0.0161201 1.93799i
\(715\) −1.54065e6 1.44035e6i −0.112704 0.105367i
\(716\) 4.77823e7i 3.48325i
\(717\) −3.72279e6 + 1.11414e7i −0.270440 + 0.809359i
\(718\) 2.71674e7 1.97383e7i 1.96670 1.42889i
\(719\) −9.12920e6 + 1.25653e7i −0.658583 + 0.906462i −0.999433 0.0336559i \(-0.989285\pi\)
0.340851 + 0.940117i \(0.389285\pi\)
\(720\) −5.47629e6 + 1.67917e6i −0.393691 + 0.120716i
\(721\) −6.48470e6 + 2.10701e6i −0.464570 + 0.150948i
\(722\) 3.92352e7 + 2.85061e7i 2.80113 + 2.03514i
\(723\) 4.59952e6 + 6.44272e6i 0.327241 + 0.458378i
\(724\) 1.46466e6 4.50776e6i 0.103846 0.319605i
\(725\) −1.07291e7 −0.758089
\(726\) −2.33142e7 + 9.12617e6i −1.64164 + 0.642609i
\(727\) −1.42022e7 −0.996594 −0.498297 0.867006i \(-0.666041\pi\)
−0.498297 + 0.867006i \(0.666041\pi\)
\(728\) −4.20366e6 + 1.29375e7i −0.293967 + 0.904738i
\(729\) −1.20148e7 + 7.84448e6i −0.837332 + 0.546695i
\(730\) 4.35168e6 + 3.16168e6i 0.302239 + 0.219589i
\(731\) −8.39302e6 + 2.72706e6i −0.580932 + 0.188756i
\(732\) −2.86418e7 + 9.04359e6i −1.97571 + 0.623826i
\(733\) 3.15560e6 4.34331e6i 0.216931 0.298580i −0.686658 0.726981i \(-0.740923\pi\)
0.903589 + 0.428401i \(0.140923\pi\)
\(734\) 1.27391e7 9.25550e6i 0.872768 0.634103i
\(735\) 225342. + 75295.8i 0.0153859 + 0.00514106i
\(736\) 8.28244e6i 0.563591i
\(737\) 8.37153e6 + 7.82654e6i 0.567723 + 0.530763i
\(738\) −4.07901e7 678625.i −2.75685 0.0458658i
\(739\) 2.07203e7 + 6.73245e6i 1.39568 + 0.453484i 0.907791 0.419422i \(-0.137767\pi\)
0.487888 + 0.872906i \(0.337767\pi\)
\(740\) −134951. 185744.i −0.00905933 0.0124691i
\(741\) −1.03536e7 7.65472e6i −0.692702 0.512134i
\(742\) −5.10651e6 1.57162e7i −0.340498 1.04794i
\(743\) −1.30647e6 4.02089e6i −0.0868213 0.267208i 0.898215 0.439557i \(-0.144865\pi\)
−0.985036 + 0.172348i \(0.944865\pi\)
\(744\) −1.21639e7 8.99315e6i −0.805642 0.595634i
\(745\) 1.95557e6 + 2.69162e6i 0.129087 + 0.177673i
\(746\) 1.21568e7 + 3.94998e6i 0.799783 + 0.259865i
\(747\) −1.80552e7 300385.i −1.18386 0.0196960i
\(748\) −3.18864e7 + 1.76218e7i −2.08378 + 1.15159i
\(749\) 7.87334e6i 0.512808i
\(750\) 1.51291e7 + 5.05525e6i 0.982110 + 0.328163i
\(751\) 1.82426e7 1.32540e7i 1.18028 0.857526i 0.188079 0.982154i \(-0.439774\pi\)
0.992204 + 0.124628i \(0.0397737\pi\)
\(752\) −9.27486e6 + 1.27658e7i −0.598085 + 0.823193i
\(753\) 2.24397e7 7.08530e6i 1.44221 0.455377i
\(754\) −1.09718e7 + 3.56494e6i −0.702826 + 0.228362i
\(755\) −5.86916e6 4.26420e6i −0.374722 0.272251i
\(756\) 1.82949e7 + 2.65494e7i 1.16419 + 1.68947i
\(757\) −6.22088e6 + 1.91459e7i −0.394559 + 1.21433i 0.534746 + 0.845013i \(0.320407\pi\)
−0.929305 + 0.369314i \(0.879593\pi\)
\(758\) 4.20156e7 2.65606
\(759\) 2.92965e6 2.21052e7i 0.184591 1.39280i
\(760\) −1.65103e7 −1.03686
\(761\) −1.90484e6 + 5.86249e6i −0.119233 + 0.366962i −0.992806 0.119731i \(-0.961797\pi\)
0.873573 + 0.486693i \(0.161797\pi\)
\(762\) −2.28182e6 3.19623e6i −0.142362 0.199412i
\(763\) 9.31112e6 + 6.76493e6i 0.579016 + 0.420680i
\(764\) −3.76497e6 + 1.22331e6i −0.233361 + 0.0758237i
\(765\) −5.38936e6 + 1.65251e6i −0.332953 + 0.102092i
\(766\) 2.99382e7 4.12063e7i 1.84354 2.53742i
\(767\) −6.58254e6 + 4.78250e6i −0.404022 + 0.293539i
\(768\) −1.05242e7 + 3.14963e7i −0.643851 + 1.92689i