Properties

Label 33.6.f.a.2.1
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 2.1
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.08173 + 9.48458i) q^{2} +(-12.5347 + 9.26724i) q^{3} +(-54.5716 - 39.6486i) q^{4} +(16.3931 - 5.32643i) q^{5} +(-49.2674 - 147.445i) q^{6} +(-74.1699 + 102.086i) q^{7} +(286.047 - 207.825i) q^{8} +(71.2363 - 232.324i) q^{9} +O(q^{10})\) \(q+(-3.08173 + 9.48458i) q^{2} +(-12.5347 + 9.26724i) q^{3} +(-54.5716 - 39.6486i) q^{4} +(16.3931 - 5.32643i) q^{5} +(-49.2674 - 147.445i) q^{6} +(-74.1699 + 102.086i) q^{7} +(286.047 - 207.825i) q^{8} +(71.2363 - 232.324i) 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} +(-156.121 + 218.684i) q^{15} +(422.592 + 1300.60i) q^{16} +(-415.883 - 1279.96i) q^{17} +(1983.96 + 1391.60i) 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} +(-1659.54 + 5255.89i) q^{24} +(-2287.82 + 1662.20i) q^{25} +(1787.26 - 2459.95i) q^{26} +(1260.08 + 3572.27i) q^{27} +(8095.14 - 2630.27i) q^{28} +(-3069.44 - 2230.08i) q^{29} +(-1593.00 - 2154.66i) q^{30} +(848.134 - 2610.29i) q^{31} -2323.64 q^{32} +(-6214.41 - 718.637i) q^{33} +13421.5 q^{34} +(-672.118 + 2068.57i) q^{35} +(-13098.8 + 9853.86i) q^{36} +(-159.754 - 116.068i) q^{37} +(25694.5 - 8348.65i) q^{38} +(4507.91 - 1506.28i) q^{39} +(3582.22 - 4930.50i) q^{40} +(-13619.3 + 9894.99i) q^{41} +(18706.3 + 5906.48i) 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} +(-17350.1 - 12386.4i) q^{48} +(273.244 + 840.959i) q^{49} +(-8714.80 - 26821.4i) q^{50} +(17074.6 + 12189.8i) 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} +(40270.7 + 12715.4i) q^{57} +(30610.5 - 22239.9i) q^{58} +(-15685.5 + 21589.2i) q^{59} +(17190.3 - 5743.96i) q^{60} +(-27166.3 + 8826.87i) q^{61} +(22143.7 + 16088.4i) q^{62} +(18433.5 + 24503.7i) q^{63} +(-6362.11 + 19580.6i) q^{64} -5255.46 q^{65} +(25967.1 - 56726.4i) q^{66} -28557.0 q^{67} +(-28053.1 + 86338.5i) q^{68} +(-33032.4 - 44678.9i) q^{69} +(-17548.2 - 12749.5i) q^{70} +(65896.0 - 21410.9i) q^{71} +(-27905.8 - 81260.2i) q^{72} +(18393.0 - 25315.8i) q^{73} +(1593.17 - 1157.51i) q^{74} +(13273.1 - 42036.8i) 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} +(-48899.8 - 33099.8i) q^{81} +(-51878.9 - 159667. i) q^{82} +(22963.6 + 70674.6i) q^{83} +(-77094.7 + 107989. 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} +(39935.5 + 12245.2i) q^{90} +(31126.0 - 22614.4i) q^{91} +(141324. - 194516. i) q^{92} +(13559.1 + 40579.0i) q^{93} +(109438. - 35558.6i) q^{94} +(-37777.6 - 27447.0i) q^{95} +(29126.1 - 21533.7i) q^{96} +(-7336.07 + 22578.1i) q^{97} -8818.20 q^{98} +(84555.5 - 48582.6i) 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 \(0.443444\pi\)
−0.721519 + 0.692395i \(0.756556\pi\)
\(3\) −12.5347 + 9.26724i −0.804100 + 0.594494i
\(4\) −54.5716 39.6486i −1.70536 1.23902i
\(5\) 16.3931 5.32643i 0.293248 0.0952821i −0.158698 0.987327i \(-0.550730\pi\)
0.451947 + 0.892045i \(0.350730\pi\)
\(6\) −49.2674 147.445i −0.558704 1.67206i
\(7\) −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
\(9\) 71.2363 232.324i 0.293154 0.956065i
\(10\) 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
\(15\) −156.121 + 218.684i −0.179156 + 0.250951i
\(16\) 422.592 + 1300.60i 0.412687 + 1.27012i
\(17\) −415.883 1279.96i −0.349019 1.07417i −0.959397 0.282060i \(-0.908982\pi\)
0.610378 0.792110i \(-0.291018\pi\)
\(18\) 1983.96 + 1391.60i 1.44329 + 1.01236i
\(19\) −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 \(0.247928\pi\)
−0.711694 + 0.702490i \(0.752072\pi\)
\(24\) −1659.54 + 5255.89i −0.588111 + 1.86259i
\(25\) −2287.82 + 1662.20i −0.732101 + 0.531903i
\(26\) 1787.26 2459.95i 0.518505 0.713661i
\(27\) 1260.08 + 3572.27i 0.332650 + 0.943050i
\(28\) 8095.14 2630.27i 1.95132 0.634024i
\(29\) −3069.44 2230.08i −0.677742 0.492408i 0.194866 0.980830i \(-0.437573\pi\)
−0.872608 + 0.488422i \(0.837573\pi\)
\(30\) −1593.00 2154.66i −0.323157 0.437095i
\(31\) 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
\(33\) −6214.41 718.637i −0.993380 0.114875i
\(34\) 13421.5 1.99115
\(35\) −672.118 + 2068.57i −0.0927418 + 0.285430i
\(36\) −13098.8 + 9853.86i −1.68452 + 1.26722i
\(37\) −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
\(39\) 4507.91 1506.28i 0.474585 0.158578i
\(40\) 3582.22 4930.50i 0.353999 0.487238i
\(41\) −13619.3 + 9894.99i −1.26530 + 0.919297i −0.999005 0.0445934i \(-0.985801\pi\)
−0.266299 + 0.963891i \(0.585801\pi\)
\(42\) 18706.3 + 5906.48i 1.63630 + 0.516661i
\(43\) 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 0.524091 0.851663i \(-0.324405\pi\)
−0.971932 + 0.235262i \(0.924405\pi\)
\(48\) −17350.1 12386.4i −1.08692 0.775964i
\(49\) 273.244 + 840.959i 0.0162578 + 0.0500362i
\(50\) −8714.80 26821.4i −0.492983 1.51725i
\(51\) 17074.6 + 12189.8i 0.919234 + 0.656250i
\(52\) 12088.8 + 16638.8i 0.619977 + 0.853325i
\(53\) 12489.0 + 4057.92i 0.610714 + 0.198433i 0.598013 0.801486i \(-0.295957\pi\)
0.0127007 + 0.999919i \(0.495957\pi\)
\(54\) −37764.7 + 942.546i −1.76239 + 0.0439864i
\(55\) 6265.46 + 2931.36i 0.279284 + 0.130666i
\(56\) 44615.8i 1.90116i
\(57\) 40270.7 + 12715.4i 1.64173 + 0.518374i
\(58\) 30610.5 22239.9i 1.19482 0.868084i
\(59\) −15685.5 + 21589.2i −0.586635 + 0.807434i −0.994403 0.105651i \(-0.966307\pi\)
0.407768 + 0.913086i \(0.366307\pi\)
\(60\) 17190.3 5743.96i 0.616459 0.205984i
\(61\) −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
\(63\) 18433.5 + 24503.7i 0.585134 + 0.777822i
\(64\) −6362.11 + 19580.6i −0.194156 + 0.597552i
\(65\) −5255.46 −0.154286
\(66\) 25967.1 56726.4i 0.733776 1.60297i
\(67\) −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
\(69\) −33032.4 44678.9i −0.835252 1.12974i
\(70\) −17548.2 12749.5i −0.428043 0.310992i
\(71\) 65896.0 21410.9i 1.55136 0.504068i 0.596879 0.802331i \(-0.296407\pi\)
0.954484 + 0.298263i \(0.0964073\pi\)
\(72\) −27905.8 81260.2i −0.634400 1.84734i
\(73\) 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
\(75\) 13273.1 42036.8i 0.272470 0.862933i
\(76\) 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
\(81\) −48899.8 33099.8i −0.828122 0.560548i
\(82\) −51878.9 159667.i −0.852033 2.62229i
\(83\) 22963.6 + 70674.6i 0.365885 + 1.12608i 0.949425 + 0.313993i \(0.101667\pi\)
−0.583541 + 0.812084i \(0.698333\pi\)
\(84\) −77094.7 + 107989.i −1.19214 + 1.66987i
\(85\) −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 \(-0.893182\pi\)
0.944220 0.329315i \(-0.106818\pi\)
\(90\) 39935.5 + 12245.2i 0.519701 + 0.159353i
\(91\) 31126.0 22614.4i 0.394021 0.286273i
\(92\) 141324. 194516.i 1.74080 2.39600i
\(93\) 13559.1 + 40579.0i 0.162563 + 0.486512i
\(94\) 109438. 35558.6i 1.27746 0.415073i
\(95\) −37777.6 27447.0i −0.429462 0.312023i
\(96\) 29126.1 21533.7i 0.322555 0.238474i
\(97\) −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
\(99\) 84555.5 48582.6i 0.867069 0.498188i
\(100\) 190753. 1.90753
\(101\) 13737.8 42280.6i 0.134003 0.412418i −0.861431 0.507875i \(-0.830431\pi\)
0.995434 + 0.0954569i \(0.0304312\pi\)
\(102\) −168234. + 124380.i −1.60108 + 1.18372i
\(103\) 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
\(105\) −10745.1 32157.5i −0.0951127 0.284649i
\(106\) −76975.3 + 105947.i −0.665406 + 0.915853i
\(107\) −50478.6 + 36674.9i −0.426234 + 0.309677i −0.780141 0.625603i \(-0.784853\pi\)
0.353907 + 0.935281i \(0.384853\pi\)
\(108\) 72871.0 244905.i 0.601167 2.02040i
\(109\) 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 0.971472 0.237153i \(-0.0762142\pi\)
−0.525747 + 0.850641i \(0.676214\pi\)
\(114\) −244703. + 342765.i −1.76351 + 2.47021i
\(115\) 18985.7 + 58431.9i 0.133870 + 0.412008i
\(116\) 79084.8 + 243398.i 0.545693 + 1.67947i
\(117\) −42546.2 + 60656.6i −0.287340 + 0.409651i
\(118\) −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
\(123\) 79014.1 250244.i 0.470914 1.49142i
\(124\) −149778. + 108820.i −0.874771 + 0.635558i
\(125\) −60311.6 + 83011.9i −0.345244 + 0.475188i
\(126\) −289214. + 99319.9i −1.62290 + 0.557327i
\(127\) −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
\(129\) −60767.8 82193.3i −0.321514 0.434873i
\(130\) 16195.9 49845.8i 0.0840516 0.258684i
\(131\) 71268.0 0.362841 0.181420 0.983406i \(-0.441931\pi\)
0.181420 + 0.983406i \(0.441931\pi\)
\(132\) 310638. + 285610.i 1.55174 + 1.42672i
\(133\) 341847. 1.67572
\(134\) 88004.8 270851.i 0.423394 1.30307i
\(135\) 39684.0 + 51848.8i 0.187405 + 0.244852i
\(136\) −384969. 279696.i −1.78476 1.29670i
\(137\) −235626. + 76559.5i −1.07256 + 0.348496i −0.791484 0.611190i \(-0.790691\pi\)
−0.281076 + 0.959686i \(0.590691\pi\)
\(138\) 525558. 175610.i 2.34921 0.784968i
\(139\) 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
\(141\) 171521. + 54157.4i 0.726556 + 0.229409i
\(142\) 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
\(147\) −11218.4 8008.93i −0.0428191 0.0305690i
\(148\) 4116.09 + 12668.0i 0.0154465 + 0.0475395i
\(149\) 59646.3 + 183572.i 0.220099 + 0.677395i 0.998752 + 0.0499404i \(0.0159031\pi\)
−0.778653 + 0.627454i \(0.784097\pi\)
\(150\) 357798. + 255435.i 1.29840 + 0.926943i
\(151\) 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
\(156\) −305726. 96532.4i −1.00582 0.317586i
\(157\) −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
\(159\) −194151. + 64873.8i −0.609042 + 0.203506i
\(160\) −38091.6 + 12376.7i −0.117633 + 0.0382213i
\(161\) −363879. 264373.i −1.10635 0.803809i
\(162\) 464633. 361789.i 1.39099 1.08310i
\(163\) 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
\(165\) −105701. + 21320.0i −0.302252 + 0.0609645i
\(166\) −741086. −2.08737
\(167\) −27781.1 + 85501.4i −0.0770829 + 0.237237i −0.982172 0.187986i \(-0.939804\pi\)
0.905089 + 0.425222i \(0.139804\pi\)
\(168\) −413465. 559245.i −1.13023 1.52872i
\(169\) −225173. 163598.i −0.606457 0.440617i
\(170\) 220019. 71488.6i 0.583900 0.189721i
\(171\) −622617. + 213815.i −1.62829 + 0.559175i
\(172\) 259987. 357841.i 0.670085 0.922293i
\(173\) −374003. + 271729.i −0.950080 + 0.690274i −0.950826 0.309726i \(-0.899763\pi\)
0.000745610 1.00000i \(0.499763\pi\)
\(174\) −177591. + 562445.i −0.444680 + 1.40834i
\(175\) 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 \(0.109513\pi\)
0.0298823 + 0.999553i \(0.490487\pi\)
\(180\) −162244. + 231305.i −0.373238 + 0.532113i
\(181\) 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
\(183\) 258720. 362399.i 0.571087 0.799943i
\(184\) 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
\(189\) −458139. 136319.i −0.932917 0.277588i
\(190\) 376743. 273720.i 0.757115 0.550076i
\(191\) −34495.7 + 47479.3i −0.0684198 + 0.0941718i −0.841856 0.539703i \(-0.818537\pi\)
0.773436 + 0.633875i \(0.218537\pi\)
\(192\) −101711. 304395.i −0.199120 0.595916i
\(193\) 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
\(195\) 65875.5 48703.6i 0.124062 0.0917222i
\(196\) 18431.5 56726.2i 0.0342704 0.105474i
\(197\) −722159. −1.32577 −0.662884 0.748722i \(-0.730668\pi\)
−0.662884 + 0.748722i \(0.730668\pi\)
\(198\) 200209. + 951691.i 0.362928 + 1.72517i
\(199\) −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
\(201\) 357953. 264645.i 0.624936 0.462033i
\(202\) 358677. + 260594.i 0.618480 + 0.449352i
\(203\) 455321. 147943.i 0.775492 0.251973i
\(204\) −448483. 1.34220e6i −0.754520 2.25809i
\(205\) −170557. + 234752.i −0.283456 + 0.390143i
\(206\) −435957. + 316741.i −0.715773 + 0.520040i
\(207\) 828101. + 253917.i 1.34325 + 0.411875i
\(208\) 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
\(213\) −627565. + 879053.i −0.947785 + 1.32760i
\(214\) −192284. 591790.i −0.287018 0.883351i
\(215\) 34926.9 + 107494.i 0.0515304 + 0.158594i
\(216\) 1.10285e6 + 759960.i 1.60835 + 1.10830i
\(217\) 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
\(222\) −9242.99 + 29273.3i −0.0125872 + 0.0398647i
\(223\) −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
\(225\) 223192. + 649923.i 0.293915 + 0.855866i
\(226\) −976253. + 317204.i −1.27143 + 0.413112i
\(227\) 242231. + 175991.i 0.312008 + 0.226687i 0.732758 0.680490i \(-0.238233\pi\)
−0.420750 + 0.907177i \(0.638233\pi\)
\(228\) −1.69349e6 2.29058e6i −2.15747 2.91815i
\(229\) 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
\(231\) 534286. 581104.i 0.658785 0.716513i
\(232\) −1.34147e6 −1.63629
\(233\) 273321. 841197.i 0.329825 1.01510i −0.639390 0.768883i \(-0.720813\pi\)
0.969215 0.246215i \(-0.0791869\pi\)
\(234\) −444187. 590460.i −0.530305 0.704937i
\(235\) −160902. 116902.i −0.190061 0.138087i
\(236\) 1.71197e6 556251.i 2.00085 0.650116i
\(237\) 1.25658e6 419875.i 1.45318 0.485566i
\(238\) −995471. + 1.37015e6i −1.13916 + 1.56792i
\(239\) −609646. + 442934.i −0.690372 + 0.501585i −0.876782 0.480887i \(-0.840315\pi\)
0.186410 + 0.982472i \(0.440315\pi\)
\(240\) −350396. 110637.i −0.392673 0.123986i
\(241\) 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
\(246\) 2.12996e6 + 1.52060e6i 2.24405 + 1.60205i
\(247\) 255247. + 785570.i 0.266206 + 0.819299i
\(248\) −299877. 922927.i −0.309610 0.952880i
\(249\) −942800. 673074.i −0.963654 0.687963i
\(250\) −601468. 827850.i −0.608643 0.837725i
\(251\) 1.43568e6 + 466480.i 1.43838 + 0.467357i 0.921391 0.388638i \(-0.127054\pi\)
0.516985 + 0.855994i \(0.327054\pi\)
\(252\) −34406.5 2.06807e6i −0.0341302 2.05146i
\(253\) −976893. + 1.04492e6i −0.959502 + 1.02632i
\(254\) 251927.i 0.245014i
\(255\) 344834. + 108881.i 0.332093 + 0.104858i
\(256\) 1.72345e6 1.25216e6i 1.64361 1.19415i
\(257\) 622580. 856908.i 0.587980 0.809285i −0.406562 0.913623i \(-0.633272\pi\)
0.994542 + 0.104338i \(0.0332724\pi\)
\(258\) 966838. 323060.i 0.904283 0.302158i
\(259\) 23697.8 7699.90i 0.0219513 0.00713240i
\(260\) 286799. + 208371.i 0.263114 + 0.191163i
\(261\) −736756. + 554242.i −0.669457 + 0.503614i
\(262\) −219628. + 675947.i −0.197667 + 0.608358i
\(263\) −295852. −0.263745 −0.131873 0.991267i \(-0.542099\pi\)
−0.131873 + 0.991267i \(0.542099\pi\)
\(264\) −1.92696e6 + 1.08595e6i −1.70162 + 0.958957i
\(265\) 226347. 0.197998
\(266\) −1.05348e6 + 3.24227e6i −0.912896 + 2.80961i
\(267\) 456107. + 616921.i 0.391551 + 0.529604i
\(268\) 1.55840e6 + 1.13224e6i 1.32538 + 0.962948i
\(269\) 1.15363e6 374838.i 0.972046 0.315837i 0.220404 0.975409i \(-0.429262\pi\)
0.751642 + 0.659572i \(0.229262\pi\)
\(270\) −614059. + 216602.i −0.512626 + 0.180823i
\(271\) 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
\(273\) −180582. + 571916.i −0.146645 + 0.464436i
\(274\) 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
\(279\) −546014. 382989.i −0.419946 0.294561i
\(280\) 237643. + 731390.i 0.181147 + 0.557512i
\(281\) 3223.82 + 9921.89i 0.00243559 + 0.00749598i 0.952267 0.305267i \(-0.0987456\pi\)
−0.949831 + 0.312763i \(0.898746\pi\)
\(282\) −1.04224e6 + 1.45990e6i −0.780450 + 1.09320i
\(283\) −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
\(288\) −165528. + 539837.i −0.117595 + 0.383514i
\(289\) −316642. + 230054.i −0.223010 + 0.162026i
\(290\) 383342. 527625.i 0.267665 0.368409i
\(291\) −117281. 350994.i −0.0811890 0.242978i
\(292\) −2.00747e6 + 652267.i −1.37782 + 0.447680i
\(293\) 910633. + 661613.i 0.619690 + 0.450231i 0.852813 0.522216i \(-0.174895\pi\)
−0.233124 + 0.972447i \(0.574895\pi\)
\(294\) 110533. 81720.4i 0.0745804 0.0551394i
\(295\) −142140. + 437462.i −0.0950958 + 0.292675i
\(296\) −69818.8 −0.0463173
\(297\) −609649. + 1.39256e6i −0.401041 + 0.916060i
\(298\) −1.92492e6 −1.25566
\(299\) 335837. 1.03360e6i 0.217245 0.668612i
\(300\) −2.39103e6 + 1.76776e6i −1.53385 + 1.13402i
\(301\) −669407. 486352.i −0.425867 0.309410i
\(302\) −3.99192e6 + 1.29705e6i −2.51863 + 0.818353i
\(303\) 219626. + 657285.i 0.137428 + 0.411289i
\(304\) 2.17761e6 2.99722e6i 1.35144 1.86009i
\(305\) −398324. + 289399.i −0.245181 + 0.178134i
\(306\) 956097. 3.11813e6i 0.583712 1.90367i
\(307\) 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 \(-0.950887\pi\)
0.159187 0.987248i \(-0.449113\pi\)
\(312\) 976431. 1.36772e6i 0.567878 0.795448i
\(313\) −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
\(315\) 432698. + 303506.i 0.245702 + 0.172342i
\(316\) 3.36976e6 + 4.63808e6i 1.89837 + 2.61288i
\(317\) 2.74938e6 + 893329.i 1.53669 + 0.499302i 0.950462 0.310841i \(-0.100611\pi\)
0.586232 + 0.810143i \(0.300611\pi\)
\(318\) −16979.9 2.04137e6i −0.00941604 1.13202i
\(319\) −288620. 1.49499e6i −0.158800 0.822546i
\(320\) 354873.i 0.193731i
\(321\) 292858. 927505.i 0.158634 0.502405i
\(322\) 3.62884e6 2.63651e6i 1.95042 1.41706i
\(323\) −2.14304e6 + 2.94964e6i −1.14294 + 1.57312i
\(324\) 1.35618e6 + 3.74512e6i 0.717718 + 1.98200i
\(325\) 820023. 266442.i 0.430643 0.139925i
\(326\) 438165. + 318346.i 0.228346 + 0.165903i
\(327\) 845251. + 1.14327e6i 0.437136 + 0.591261i
\(328\) −1.83933e6 + 5.66086e6i −0.944004 + 2.90535i
\(329\) 1.45599e6 0.741600
\(330\) 123531. 1.06823e6i 0.0624440 0.539984i
\(331\) −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
\(333\) −38345.6 + 28846.3i −0.0189498 + 0.0142554i
\(334\) −725331. 526984.i −0.355771 0.258482i
\(335\) −468137. + 152107.i −0.227909 + 0.0740520i
\(336\) 2.55133e6 852504.i 1.23287 0.411953i
\(337\) 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
\(339\) −1.53007e6 483117.i −0.723123 0.228325i
\(340\) 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
\(345\) −779482. 556480.i −0.352581 0.251711i
\(346\) −1.42466e6 4.38466e6i −0.639767 1.96900i
\(347\) 120889. + 372057.i 0.0538967 + 0.165877i 0.974382 0.224901i \(-0.0722059\pi\)
−0.920485 + 0.390778i \(0.872206\pi\)
\(348\) −3.24693e6 2.31802e6i −1.43723 1.02605i
\(349\) 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 \(0.0310832\pi\)
−0.995236 + 0.0974956i \(0.968917\pi\)
\(354\) 3.95601e6 + 1.24911e6i 1.67784 + 0.529774i
\(355\) 966195. 701981.i 0.406906 0.295634i
\(356\) −1.95139e6 + 2.68586e6i −0.816054 + 1.12320i
\(357\) −2.51083e6 + 838970.i −1.04267 + 0.348398i
\(358\) −6.71856e6 + 2.18299e6i −2.77057 + 0.900212i
\(359\) −2.72419e6 1.97924e6i −1.11558 0.810517i −0.132047 0.991243i \(-0.542155\pi\)
−0.983533 + 0.180727i \(0.942155\pi\)
\(360\) −890289. 1.18347e6i −0.362055 0.481282i
\(361\) −1.50276e6 + 4.62502e6i −0.606906 + 1.86786i
\(362\) −700739. −0.281051
\(363\) −1.62481e6 1.91384e6i −0.647197 0.762323i
\(364\) −2.59522e6 −1.02665
\(365\) 166675. 512973.i 0.0654844 0.201540i
\(366\) 2.63989e6 + 3.57066e6i 1.03011 + 1.39331i
\(367\) 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
\(369\) 1.32865e6 + 3.86897e6i 0.507980 + 1.47921i
\(370\) 19951.6 27461.0i 0.00757658 0.0104283i
\(371\) −1.34057e6 + 973977.i −0.505654 + 0.367379i
\(372\) 868958. 2.75206e6i 0.325568 1.03110i
\(373\) 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
\(378\) 2.70478e6 3.92516e6i 0.973650 1.41295i
\(379\) 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
\(381\) 228807. 320499.i 0.0807528 0.113113i
\(382\) −344015. 473496.i −0.120620 0.166019i
\(383\) −4.85737e6 1.57825e6i −1.69201 0.549769i −0.704834 0.709373i \(-0.748978\pi\)
−0.987181 + 0.159604i \(0.948978\pi\)
\(384\) 4.35957e6 36262.6i 1.50874 0.0125496i
\(385\) −763960. + 422199.i −0.262675 + 0.145166i
\(386\) 293368.i 0.100218i
\(387\) 1.52341e6 + 467116.i 0.517058 + 0.158543i
\(388\) 1.29553e6 941258.i 0.436886 0.317416i
\(389\) −319117. + 439227.i −0.106924 + 0.147169i −0.859126 0.511765i \(-0.828992\pi\)
0.752201 + 0.658933i \(0.228992\pi\)
\(390\) 258923. + 774892.i 0.0862004 + 0.257976i
\(391\) 4.56231e6 1.48239e6i 1.50919 0.490365i
\(392\) 252933. + 183766.i 0.0831362 + 0.0604020i
\(393\) −893321. + 660458.i −0.291760 + 0.215707i
\(394\) 2.22550e6 6.84938e6i 0.722248 2.22285i
\(395\) −1.46496e6 −0.472425
\(396\) −6.54056e6 701274.i −2.09593 0.224724i
\(397\) 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
\(399\) −4.28494e6 + 3.16798e6i −1.34745 + 0.996208i
\(400\) −3.12867e6 2.27311e6i −0.977709 0.710347i
\(401\) 2.81417e6 914381.i 0.873957 0.283966i 0.162511 0.986707i \(-0.448041\pi\)
0.711446 + 0.702741i \(0.248041\pi\)
\(402\) 1.40693e6 + 4.21059e6i 0.434217 + 1.29950i
\(403\) −491877. + 677011.i −0.150867 + 0.207651i
\(404\) −2.42606e6 + 1.76264e6i −0.739517 + 0.537290i
\(405\) −977922. 282146.i −0.296256 0.0854746i
\(406\) 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
\(411\) 2.24400e6 3.14325e6i 0.655267 0.917856i
\(412\) −1.12633e6 3.46649e6i −0.326906 1.00611i
\(413\) −1.04057e6 3.20254e6i −0.300190 0.923890i
\(414\) −4.96027e6 + 7.07169e6i −1.42234 + 2.02779i
\(415\) 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 \(0.261792\pi\)
−0.680432 + 0.732811i \(0.738208\pi\)
\(420\) −688621. + 2.18092e6i −0.190483 + 0.603276i
\(421\) 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
\(423\) −2.65185e6 + 910680.i −0.720606 + 0.247466i
\(424\) 4.41577e6 1.43477e6i 1.19287 0.387586i
\(425\) 3.07900e6 + 2.23703e6i 0.826871 + 0.600757i
\(426\) −6.40346e6 8.66119e6i −1.70959 2.31235i
\(427\) 1.11382e6 3.42799e6i 0.295628 0.909851i
\(428\) 4.20881e6 1.11058
\(429\) 1.73432e6 + 793904.i 0.454975 + 0.208269i
\(430\) −1.12717e6 −0.293980
\(431\) −1.66690e6 + 5.13019e6i −0.432231 + 1.33027i 0.463666 + 0.886010i \(0.346534\pi\)
−0.895897 + 0.444261i \(0.853466\pi\)
\(432\) −4.11361e6 + 3.14847e6i −1.06051 + 0.811691i
\(433\) −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
\(435\) 966885. 323076.i 0.244992 0.0818618i
\(436\) −3.61629e6 + 4.97739e6i −0.911059 + 1.25397i
\(437\) 7.81213e6 5.67585e6i 1.95689 1.42176i
\(438\) −4.63887e6 1.46471e6i −1.15538 0.364811i
\(439\) 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 0.809483 0.587143i \(-0.199747\pi\)
−0.808550 + 0.588427i \(0.799747\pi\)
\(444\) −168991. 120645.i −0.0406825 0.0290436i
\(445\) −262152. 806820.i −0.0627556 0.193142i
\(446\) −3.26309e6 1.00428e7i −0.776769 2.39065i
\(447\) −2.44886e6 1.74827e6i −0.579689 0.413846i
\(448\) −1.52703e6 2.10177e6i −0.359461 0.494756i
\(449\) 2.40360e6 + 780977.i 0.562660 + 0.182819i 0.576518 0.817085i \(-0.304411\pi\)
−0.0138576 + 0.999904i \(0.504411\pi\)
\(450\) −6.85206e6 + 113998.i −1.59511 + 0.0265378i
\(451\) −6.70442e6 831868.i −1.55210 0.192581i
\(452\) 6.94310e6i 1.59848i
\(453\) −6.25649e6 1.97548e6i −1.43247 0.452300i
\(454\) −2.41570e6 + 1.75511e6i −0.550050 + 0.399635i
\(455\) 389797. 536509.i 0.0882694 0.121492i
\(456\) 1.41619e7 4.73206e6i 3.18940 1.06571i
\(457\) −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
\(459\) 4.04831e6 3.09849e6i 0.896895 0.686465i
\(460\) 1.28066e6 3.94148e6i 0.282189 0.868490i
\(461\) −4.02082e6 −0.881176 −0.440588 0.897709i \(-0.645230\pi\)
−0.440588 + 0.897709i \(0.645230\pi\)
\(462\) 3.86501e6 + 6.85828e6i 0.842452 + 1.49489i
\(463\) −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
\(465\) 438416. + 592993.i 0.0940274 + 0.127179i
\(466\) 7.13609e6 + 5.18467e6i 1.52228 + 1.10600i
\(467\) −166459. + 54085.8i −0.0353196 + 0.0114760i −0.326623 0.945155i \(-0.605911\pi\)
0.291304 + 0.956631i \(0.405911\pi\)
\(468\) 4.72676e6 1.62323e6i 0.997583 0.342583i
\(469\) 2.11807e6 2.91527e6i 0.444640 0.611994i
\(470\) 1.60463e6 1.16583e6i 0.335065 0.243439i
\(471\) 10898.4 34516.2i 0.00226366 0.00716920i
\(472\) 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
\(477\) 1.83242e6 2.61242e6i 0.368748 0.525711i
\(478\) −2.32228e6 7.14724e6i −0.464884 1.43077i
\(479\) −2.90160e6 8.93020e6i −0.577828 1.77837i −0.626342 0.779549i \(-0.715448\pi\)
0.0485138 0.998823i \(-0.484552\pi\)
\(480\) 362768. 508142.i 0.0718664 0.100666i
\(481\) 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
\(486\) −2.47124e6 + 8.84078e6i −0.474596 + 1.69785i
\(487\) −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
\(489\) 268298. + 802949.i 0.0507394 + 0.151850i
\(490\) −144557. + 46969.6i −0.0271988 + 0.00883743i
\(491\) 6.61631e6 + 4.80703e6i 1.23855 + 0.899857i 0.997501 0.0706573i \(-0.0225097\pi\)
0.241046 + 0.970514i \(0.422510\pi\)
\(492\) −1.42337e7 + 1.05234e7i −2.65098 + 1.95994i
\(493\) −1.57788e6 + 4.85620e6i −0.292385 + 0.899870i
\(494\) −8.23740e6 −1.51870
\(495\) 1.12735e6 1.24680e6i 0.206798 0.228709i
\(496\) 3.75336e6 0.685040
\(497\) −2.70175e6 + 8.31512e6i −0.490629 + 1.51000i
\(498\) 9.28928e6 6.86783e6i 1.67845 1.24093i
\(499\) −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
\(501\) −444135. 1.32919e6i −0.0790535 0.236587i
\(502\) −8.84872e6 + 1.21792e7i −1.56719 + 2.15705i
\(503\) −3.47085e6 + 2.52172e6i −0.611668 + 0.444403i −0.850001 0.526781i \(-0.823399\pi\)
0.238333 + 0.971183i \(0.423399\pi\)
\(504\) 1.03653e7 + 3.17827e6i 1.81763 + 0.557332i
\(505\) 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 0.586627 0.809858i \(-0.300456\pi\)
−0.951498 + 0.307655i \(0.900456\pi\)
\(510\) −2.09537e6 + 2.93506e6i −0.356726 + 0.499680i
\(511\) 1.22018e6 + 3.75534e6i 0.206715 + 0.636205i
\(512\) 3.79940e6 + 1.16933e7i 0.640530 + 1.97135i
\(513\) 5.82283e6 8.45004e6i 0.976878 1.41764i
\(514\) 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
\(519\) 2.16983e6 6.87202e6i 0.353596 1.11987i
\(520\) −1.50331e6 + 1.09222e6i −0.243803 + 0.177133i
\(521\) 5.54908e6 7.63765e6i 0.895626 1.23272i −0.0762168 0.997091i \(-0.524284\pi\)
0.971842 0.235632i \(-0.0757159\pi\)
\(522\) −2.98627e6 8.69584e6i −0.479681 1.39680i
\(523\) −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
\(525\) 3.30692e6 + 4.47287e6i 0.523631 + 0.708252i
\(526\) 911733. 2.80603e6i 0.143682 0.442209i
\(527\) −3.69378e6 −0.579354
\(528\) −1.69150e6 8.38618e6i −0.264050 1.30912i
\(529\) −6.26880e6 −0.973969
\(530\) −697540. + 2.14681e6i −0.107865 + 0.331973i
\(531\) 3.89832e6 + 5.18205e6i 0.599986 + 0.797564i
\(532\) −1.86551e7 1.35537e7i −2.85772 2.07625i
\(533\) 4.88157e6 1.58612e6i 0.744289 0.241834i
\(534\) −7.25683e6 + 2.42480e6i −1.10127 + 0.367979i
\(535\) −632154. + 870085.i −0.0954857 + 0.131425i
\(536\) −8.16863e6 + 5.93486e6i −1.22811 + 0.892274i
\(537\) −1.05299e7 3.32480e6i −1.57576 0.497543i
\(538\) 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
\(543\) −891471. 636431.i −0.129750 0.0926300i
\(544\) 966363. + 2.97416e6i 0.140005 + 0.430890i
\(545\) −485816. 1.49519e6i −0.0700617 0.215628i
\(546\) −4.86788e6 3.47523e6i −0.698808 0.498886i
\(547\) 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
\(552\) −1.87342e7 5.91530e6i −2.61691 0.826284i
\(553\) 8.67637e6 6.30375e6i 1.20649 0.876569i
\(554\) 2.70537e6 3.72362e6i 0.374500 0.515455i
\(555\) 50323.0 16815.0i 0.00693480 0.00231720i
\(556\) −3.07544e6 + 999271.i −0.421910 + 0.137087i
\(557\) −17976.1 13060.4i −0.00245503 0.00178369i 0.586557 0.809908i \(-0.300483\pi\)
−0.589012 + 0.808124i \(0.700483\pi\)
\(558\) 5.31515e6 3.99844e6i 0.722654 0.543633i
\(559\) 617820. 1.90145e6i 0.0836243 0.257369i
\(560\) −2.97442e6 −0.400804
\(561\) 1.66465e6 + 8.25305e6i 0.223313 + 1.10715i
\(562\) −104040. −0.0138950
\(563\) −3.41570e6 + 1.05124e7i −0.454159 + 1.39776i 0.417960 + 0.908465i \(0.362745\pi\)
−0.872119 + 0.489293i \(0.837255\pi\)
\(564\) −7.21290e6 9.75602e6i −0.954799 1.29144i
\(565\) 1.43535e6 + 1.04284e6i 0.189163 + 0.137435i
\(566\) 7.58859e6 2.46568e6i 0.995680 0.323516i
\(567\) 7.00592e6 2.53698e6i 0.915183 0.331405i
\(568\) 1.43996e7 1.98194e7i 1.87275 2.57762i
\(569\) 293279. 213080.i 0.0379752 0.0275906i −0.568636 0.822589i \(-0.692529\pi\)
0.606611 + 0.794999i \(0.292529\pi\)
\(570\) −2.18573e6 + 6.92237e6i −0.281779 + 0.892416i
\(571\) 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
\(576\) 4.09582e6 + 2.87292e6i 0.514381 + 0.360801i
\(577\) 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
\(579\) −266445. + 373219.i −0.0330302 + 0.0462666i
\(580\) 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
\(585\) −374380. + 1.22097e6i −0.0452296 + 0.147508i
\(586\) −9.08144e6 + 6.59805e6i −1.09247 + 0.793728i
\(587\) 1.68134e6 2.31417e6i 0.201401 0.277204i −0.696355 0.717697i \(-0.745196\pi\)
0.897756 + 0.440493i \(0.145196\pi\)
\(588\) 294663. + 881854.i 0.0351465 + 0.105185i
\(589\) −7.07148e6 + 2.29766e6i −0.839890 + 0.272897i
\(590\) −3.71110e6 2.69627e6i −0.438908 0.318885i
\(591\) 9.05204e6 6.69243e6i 1.06605 0.788161i
\(592\) 83447.7 256825.i 0.00978611 0.0301185i
\(593\) 5.67693e6 0.662944 0.331472 0.943465i \(-0.392455\pi\)
0.331472 + 0.943465i \(0.392455\pi\)
\(594\) −1.13291e7 1.00738e7i −1.31744 1.17145i
\(595\) 2.92720e6 0.338969
\(596\) 4.02339e6 1.23827e7i 0.463956 1.42791i
\(597\) 4.99740e6 3.69472e6i 0.573863 0.424273i
\(598\) 8.76830e6 + 6.37054e6i 1.00268 + 0.728490i
\(599\) 2.59919e6 844527.i 0.295985 0.0961715i −0.157260 0.987557i \(-0.550266\pi\)
0.453245 + 0.891386i \(0.350266\pi\)
\(600\) −4.93959e6 1.47830e7i −0.560161 1.67642i
\(601\) 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
\(603\) −2.03429e6 + 6.63447e6i −0.227835 + 0.743041i
\(604\) 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
\(609\) −4.33628e6 + 6.07398e6i −0.473777 + 0.663636i
\(610\) −1.51730e6 4.66978e6i −0.165100 0.508126i
\(611\) 1.08715e6 + 3.34590e6i 0.117811 + 0.362585i
\(612\) 1.80601e7 + 1.26678e7i 1.94913 + 1.36717i
\(613\) 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 \(0.161669\pi\)
−0.873769 + 0.486342i \(0.838331\pi\)
\(618\) 2.52926e6 8.01037e6i 0.266393 0.843687i
\(619\) −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
\(621\) −1.27331e7 + 4.49145e6i −1.32497 + 0.467367i
\(622\) 2.28150e7 7.41303e6i 2.36453 0.768281i
\(623\) 5.02438e6 + 3.65043e6i 0.518636 + 0.376811i
\(624\) 3.86407e6 + 5.22647e6i 0.397268 + 0.537337i
\(625\) 2.18430e6 6.72259e6i 0.223672 0.688393i
\(626\) 1.38011e7 1.40760
\(627\) 8.32055e6 + 1.47644e7i 0.845246 + 1.49985i
\(628\) 156626. 0.0158477
\(629\) −82123.0 + 252748.i −0.00827633 + 0.0254719i
\(630\) −4.21209e6 + 3.16864e6i −0.422811 + 0.318069i
\(631\) −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
\(633\) −4.59563e6 + 1.53559e6i −0.455865 + 0.152323i
\(634\) −1.69457e7 + 2.33237e7i −1.67431 + 2.30449i
\(635\) −352270. + 255939.i −0.0346690 + 0.0251885i
\(636\) 1.31673e7 + 4.15755e6i 1.29078 + 0.407563i
\(637\) 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 0.694577 0.719419i \(-0.255592\pi\)
−0.898844 + 0.438269i \(0.855592\pi\)
\(642\) 7.89449e6 + 5.63595e6i 0.755938 + 0.539672i
\(643\) −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
\(645\) −1.43397e6 1.02373e6i −0.135719 0.0968911i
\(646\) −2.13718e7 2.94158e7i −2.01493 2.77331i
\(647\) −1.62291e7 5.27315e6i −1.52417 0.495232i −0.577212 0.816594i \(-0.695859\pi\)
−0.946957 + 0.321362i \(0.895859\pi\)
\(648\) −2.08666e7 + 694508.i −1.95215 + 0.0649740i
\(649\) −1.05151e7 + 2.03004e6i −0.979949 + 0.189188i
\(650\) 8.59867e6i 0.798267i
\(651\) −5.14823e6 1.62554e6i −0.476108 0.150330i
\(652\) −2.96371e6 + 2.15326e6i −0.273034 + 0.198371i
\(653\) −4.36095e6 + 6.00233e6i −0.400219 + 0.550854i −0.960799 0.277246i \(-0.910578\pi\)
0.560580 + 0.828100i \(0.310578\pi\)
\(654\) −1.34483e7 + 4.49361e6i −1.22948 + 0.410819i
\(655\) 1.16830e6 379604.i 0.106402 0.0345723i
\(656\) −1.86249e7 1.35318e7i −1.68979 1.22771i
\(657\) −4.57121e6 6.07653e6i −0.413160 0.549215i
\(658\) −4.48697e6 + 1.38095e7i −0.404007 + 1.24341i
\(659\) 3.07316e6 0.275659 0.137829 0.990456i \(-0.455987\pi\)
0.137829 + 0.990456i \(0.455987\pi\)
\(660\) 6.61359e6 + 3.02744e6i 0.590986 + 0.270530i
\(661\) 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
\(663\) −3.80273e6 5.14350e6i −0.335979 0.454438i
\(664\) 2.12566e7 + 1.54438e7i 1.87100 + 1.35936i
\(665\) 5.60392e6 1.82082e6i 0.491403 0.159667i
\(666\) −155425. 452588.i −0.0135780 0.0395383i
\(667\) 7.94896e6 1.09408e7i 0.691824 0.952214i
\(668\) 4.90607e6 3.56447e6i 0.425395 0.309068i
\(669\) 4.96984e6 1.57399e7i 0.429316 1.35968i
\(670\) 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
\(675\) −8.82064e6 6.07820e6i −0.745145 0.513471i
\(676\) 5.80164e6 + 1.78556e7i 0.488297 + 1.50282i
\(677\) −913131. 2.81033e6i −0.0765704 0.235660i 0.905444 0.424466i \(-0.139538\pi\)
−0.982014 + 0.188806i \(0.939538\pi\)
\(678\) 9.29742e6 1.30232e7i 0.776762 1.08804i
\(679\) −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 \(-0.915638\pi\)
0.965084 0.261940i \(-0.0843624\pi\)
\(684\) 4.24546e7 + 1.30177e7i 3.46964 + 1.06388i
\(685\) −3.45484e6 + 2.51009e6i −0.281321 + 0.204392i
\(686\) 1.30857e7 1.80110e7i 1.06166 1.46126i
\(687\) 2.42076e6 + 7.24474e6i 0.195686 + 0.585641i
\(688\) −8.52841e6 + 2.77105e6i −0.686905 + 0.223189i
\(689\) −3.23918e6 2.35340e6i −0.259948 0.188863i
\(690\) 7.68013e6 5.67814e6i 0.614110 0.454029i
\(691\) 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
\(693\) −1.31186e6 + 1.22353e7i −0.103766 + 0.967792i
\(694\) −3.90135e6 −0.307480
\(695\) 255346. 785873.i 0.0200524 0.0617149i
\(696\) 1.68149e7 1.24317e7i 1.31574 0.972766i
\(697\) 1.83292e7 + 1.33169e7i 1.42910 + 1.03830i
\(698\) −6.98391e6 + 2.26921e6i −0.542575 + 0.176293i
\(699\) 4.36958e6 + 1.30771e7i 0.338257 + 1.01232i
\(700\) −1.41482e7 + 1.94733e7i −1.09133 + 1.50208i
\(701\) −1.37433e7 + 9.98508e6i −1.05632 + 0.767462i −0.973404 0.229095i \(-0.926423\pi\)
−0.0829161 + 0.996557i \(0.526423\pi\)
\(702\) 1.10397e7 + 3.28484e6i 0.845500 + 0.251577i
\(703\) 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
\(708\) −1.63040e7 + 2.28376e7i −1.22240 + 1.71225i
\(709\) −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
\(711\) −1.18597e7 + 1.69080e7i −0.879835 + 1.25435i
\(712\) −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
\(717\) 3.53694e6 1.12018e7i 0.256939 0.813746i
\(718\) 2.71674e7 1.97383e7i 1.96670 1.42889i
\(719\) 9.12920e6 1.25653e7i 0.658583 0.906462i −0.340851 0.940117i \(-0.610715\pi\)
0.999433 + 0.0336559i \(0.0107150\pi\)
\(720\) 5.41740e6 1.86041e6i 0.389457 0.133745i
\(721\) −6.48470e6 + 2.10701e6i −0.464570 + 0.150948i
\(722\) −3.92352e7 2.85061e7i −2.80113 2.03514i
\(723\) 4.70606e6 + 6.36532e6i 0.334820 + 0.452871i
\(724\) 1.46466e6 4.50776e6i 0.103846 0.319605i
\(725\) 1.07291e7 0.758089
\(726\) 2.31592e7 9.51273e6i 1.63073 0.669828i
\(727\) −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
\(729\) −1.11733e7 + 9.00267e6i −0.778688 + 0.627412i
\(730\) 4.35168e6 + 3.16168e6i 0.302239 + 0.219589i
\(731\) 8.39302e6 2.72706e6i 0.580932 0.188756i
\(732\) −2.84874e7 + 9.51879e6i −1.96505 + 0.656605i
\(733\) 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
\(735\) −226563. 71536.9i −0.0154693 0.00488441i
\(736\) 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
\(741\) −1.04795e7 7.48143e6i −0.701125 0.500540i
\(742\) −5.10651e6 1.57162e7i −0.340498 1.04794i
\(743\) 1.30647e6 + 4.02089e6i 0.0868213 + 0.267208i 0.985036 0.172348i \(-0.0551355\pi\)
−0.898215 + 0.439557i \(0.855135\pi\)
\(744\) 1.23119e7 + 8.78956e6i 0.815439 + 0.582150i
\(745\) 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
\(750\) 1.52111e7 + 4.80288e6i 0.987433 + 0.311780i
\(751\) 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
\(753\) −2.23187e7 + 7.45760e6i −1.43444 + 0.479304i
\(754\) −1.09718e7 + 3.56494e6i −0.702826 + 0.228362i
\(755\) 5.86916e6 + 4.26420e6i 0.374722 + 0.272251i
\(756\) 1.95965e7 + 2.56037e7i 1.24702 + 1.62929i
\(757\) −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
\(759\) 2.56153e6 2.21508e7i 0.161397 1.39568i
\(760\) −1.65103e7 −1.03686
\(761\) 1.90484e6 5.86249e6i 0.119233 0.366962i −0.873573 0.486693i \(-0.838203\pi\)
0.992806 + 0.119731i \(0.0382032\pi\)
\(762\) 2.33467e6 + 3.15783e6i 0.145659 + 0.197016i
\(763\) 9.31112e6 + 6.76493e6i 0.579016 + 0.420680i
\(764\) 3.76497e6 1.22331e6i 0.233361 0.0758237i
\(765\) −5.33140e6 + 1.83087e6i −0.329373 + 0.113111i
\(766\) 2.99382e7 4.12063e7i 1.84354 2.53742i
\(767\) 6.58254e6 4.78250e6i 0.404022 0.293539i
\(768\) −9.99879e6 + 3.16670e7i −0.611709 + 1.93733i
\(769\)