Properties

Label 80.6.q.a.29.20
Level 80
Weight 6
Character 80.29
Analytic conductor 12.831
Analytic rank 0
Dimension 116
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 80.q (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(116\)
Relative dimension: \(58\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 29.20
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.78634 - 4.92304i) q^{2} +(16.5974 - 16.5974i) q^{3} +(-16.4726 + 27.4345i) q^{4} +(55.5811 - 5.97797i) q^{5} +(-127.956 - 35.4637i) q^{6} +50.7548 q^{7} +(180.960 + 4.65334i) q^{8} -307.949i q^{9} +O(q^{10})\) \(q+(-2.78634 - 4.92304i) q^{2} +(16.5974 - 16.5974i) q^{3} +(-16.4726 + 27.4345i) q^{4} +(55.5811 - 5.97797i) q^{5} +(-127.956 - 35.4637i) q^{6} +50.7548 q^{7} +(180.960 + 4.65334i) q^{8} -307.949i q^{9} +(-184.298 - 256.971i) q^{10} +(214.400 - 214.400i) q^{11} +(181.939 + 728.745i) q^{12} +(440.657 - 440.657i) q^{13} +(-141.420 - 249.868i) q^{14} +(823.285 - 1021.72i) q^{15} +(-481.306 - 903.836i) q^{16} +927.447i q^{17} +(-1516.04 + 858.050i) q^{18} +(653.769 + 653.769i) q^{19} +(-751.564 + 1623.32i) q^{20} +(842.399 - 842.399i) q^{21} +(-1652.89 - 458.109i) q^{22} -4328.73 q^{23} +(3080.69 - 2926.23i) q^{24} +(3053.53 - 664.525i) q^{25} +(-3397.19 - 941.551i) q^{26} +(-1077.98 - 1077.98i) q^{27} +(-836.064 + 1392.43i) q^{28} +(-3471.90 - 3471.90i) q^{29} +(-7323.93 - 1206.19i) q^{30} -6988.49 q^{31} +(-3108.54 + 4887.89i) q^{32} -7116.98i q^{33} +(4565.86 - 2584.18i) q^{34} +(2821.01 - 303.411i) q^{35} +(8448.42 + 5072.72i) q^{36} +(6875.43 + 6875.43i) q^{37} +(1396.91 - 5040.15i) q^{38} -14627.5i q^{39} +(10085.8 - 823.133i) q^{40} -7974.78i q^{41} +(-6494.37 - 1799.95i) q^{42} +(-1611.08 - 1611.08i) q^{43} +(2350.24 + 9413.71i) q^{44} +(-1840.91 - 17116.1i) q^{45} +(12061.3 + 21310.5i) q^{46} +15305.2i q^{47} +(-22989.8 - 7012.91i) q^{48} -14231.0 q^{49} +(-11779.7 - 13181.0i) q^{50} +(15393.2 + 15393.2i) q^{51} +(4830.45 + 19348.0i) q^{52} +(16516.3 + 16516.3i) q^{53} +(-2303.31 + 8310.54i) q^{54} +(10634.9 - 13198.3i) q^{55} +(9184.56 + 236.180i) q^{56} +21701.7 q^{57} +(-7418.39 + 26766.2i) q^{58} +(-11212.5 + 11212.5i) q^{59} +(14468.8 + 39416.9i) q^{60} +(31338.7 + 31338.7i) q^{61} +(19472.3 + 34404.6i) q^{62} -15629.9i q^{63} +(32724.7 + 1684.13i) q^{64} +(21858.0 - 27126.5i) q^{65} +(-35037.2 + 19830.3i) q^{66} +(39863.7 - 39863.7i) q^{67} +(-25444.1 - 15277.5i) q^{68} +(-71845.7 + 71845.7i) q^{69} +(-9354.00 - 13042.5i) q^{70} -56515.5i q^{71} +(1432.99 - 55726.2i) q^{72} -19246.2 q^{73} +(14690.7 - 53005.3i) q^{74} +(39651.3 - 61710.1i) q^{75} +(-28705.1 + 7166.56i) q^{76} +(10881.8 - 10881.8i) q^{77} +(-72012.0 + 40757.3i) q^{78} -13120.1 q^{79} +(-32154.7 - 47359.0i) q^{80} +39048.2 q^{81} +(-39260.2 + 22220.5i) q^{82} +(59313.5 - 59313.5i) q^{83} +(9234.30 + 36987.3i) q^{84} +(5544.26 + 51548.6i) q^{85} +(-3442.40 + 12420.5i) q^{86} -115249. q^{87} +(39795.5 - 37800.1i) q^{88} +10276.8i q^{89} +(-79134.0 + 56754.2i) q^{90} +(22365.5 - 22365.5i) q^{91} +(71305.5 - 118757. i) q^{92} +(-115991. + 115991. i) q^{93} +(75348.1 - 42645.5i) q^{94} +(40245.4 + 32429.0i) q^{95} +(29532.6 + 132720. i) q^{96} +108350. i q^{97} +(39652.3 + 70059.5i) q^{98} +(-66024.3 - 66024.3i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + 532q^{10} - 4q^{11} + 1108q^{14} - 4q^{15} + 1216q^{16} + 2356q^{19} + 824q^{20} - 976q^{21} - 2864q^{24} - 12104q^{26} - 4q^{29} + 736q^{30} + 23056q^{31} - 38304q^{34} - 3864q^{35} - 20588q^{36} + 15144q^{40} - 25536q^{44} + 6734q^{45} - 36052q^{46} + 220884q^{49} + 56116q^{50} - 9472q^{51} - 104360q^{54} - 2552q^{56} + 14476q^{59} + 1008q^{60} - 48084q^{61} + 72944q^{64} - 27692q^{65} - 56736q^{66} - 23296q^{69} + 135260q^{70} - 186128q^{74} - 33244q^{75} - 35824q^{76} + 427312q^{79} - 129128q^{80} - 551132q^{81} - 418448q^{84} + 6248q^{85} + 177516q^{86} + 449576q^{90} - 231952q^{91} + 607356q^{94} + 38420q^{95} - 440264q^{96} + 406924q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.78634 4.92304i −0.492560 0.870278i
\(3\) 16.5974 16.5974i 1.06472 1.06472i 0.0669698 0.997755i \(-0.478667\pi\)
0.997755 0.0669698i \(-0.0213331\pi\)
\(4\) −16.4726 + 27.4345i −0.514769 + 0.857329i
\(5\) 55.5811 5.97797i 0.994266 0.106937i
\(6\) −127.956 35.4637i −1.45105 0.402166i
\(7\) 50.7548 0.391500 0.195750 0.980654i \(-0.437286\pi\)
0.195750 + 0.980654i \(0.437286\pi\)
\(8\) 180.960 + 4.65334i 0.999670 + 0.0257063i
\(9\) 307.949i 1.26728i
\(10\) −184.298 256.971i −0.582801 0.812615i
\(11\) 214.400 214.400i 0.534249 0.534249i −0.387585 0.921834i \(-0.626691\pi\)
0.921834 + 0.387585i \(0.126691\pi\)
\(12\) 181.939 + 728.745i 0.364732 + 1.46091i
\(13\) 440.657 440.657i 0.723174 0.723174i −0.246077 0.969250i \(-0.579142\pi\)
0.969250 + 0.246077i \(0.0791415\pi\)
\(14\) −141.420 249.868i −0.192837 0.340714i
\(15\) 823.285 1021.72i 0.944761 1.17248i
\(16\) −481.306 903.836i −0.470026 0.882653i
\(17\) 927.447i 0.778336i 0.921167 + 0.389168i \(0.127237\pi\)
−0.921167 + 0.389168i \(0.872763\pi\)
\(18\) −1516.04 + 858.050i −1.10288 + 0.624211i
\(19\) 653.769 + 653.769i 0.415470 + 0.415470i 0.883639 0.468169i \(-0.155086\pi\)
−0.468169 + 0.883639i \(0.655086\pi\)
\(20\) −751.564 + 1623.32i −0.420137 + 0.907461i
\(21\) 842.399 842.399i 0.416840 0.416840i
\(22\) −1652.89 458.109i −0.728095 0.201796i
\(23\) −4328.73 −1.70624 −0.853121 0.521713i \(-0.825293\pi\)
−0.853121 + 0.521713i \(0.825293\pi\)
\(24\) 3080.69 2926.23i 1.09174 1.03700i
\(25\) 3053.53 664.525i 0.977129 0.212648i
\(26\) −3397.19 941.551i −0.985569 0.273156i
\(27\) −1077.98 1077.98i −0.284577 0.284577i
\(28\) −836.064 + 1392.43i −0.201532 + 0.335644i
\(29\) −3471.90 3471.90i −0.766605 0.766605i 0.210902 0.977507i \(-0.432360\pi\)
−0.977507 + 0.210902i \(0.932360\pi\)
\(30\) −7323.93 1206.19i −1.48573 0.244689i
\(31\) −6988.49 −1.30611 −0.653054 0.757312i \(-0.726512\pi\)
−0.653054 + 0.757312i \(0.726512\pi\)
\(32\) −3108.54 + 4887.89i −0.536638 + 0.843813i
\(33\) 7116.98i 1.13766i
\(34\) 4565.86 2584.18i 0.677369 0.383377i
\(35\) 2821.01 303.411i 0.389255 0.0418660i
\(36\) 8448.42 + 5072.72i 1.08647 + 0.652355i
\(37\) 6875.43 + 6875.43i 0.825650 + 0.825650i 0.986912 0.161262i \(-0.0515564\pi\)
−0.161262 + 0.986912i \(0.551556\pi\)
\(38\) 1396.91 5040.15i 0.156931 0.566219i
\(39\) 14627.5i 1.53996i
\(40\) 10085.8 823.133i 0.996686 0.0813430i
\(41\) 7974.78i 0.740900i −0.928852 0.370450i \(-0.879204\pi\)
0.928852 0.370450i \(-0.120796\pi\)
\(42\) −6494.37 1799.95i −0.568086 0.157448i
\(43\) −1611.08 1611.08i −0.132876 0.132876i 0.637541 0.770417i \(-0.279952\pi\)
−0.770417 + 0.637541i \(0.779952\pi\)
\(44\) 2350.24 + 9413.71i 0.183012 + 0.733042i
\(45\) −1840.91 17116.1i −0.135519 1.26001i
\(46\) 12061.3 + 21310.5i 0.840427 + 1.48491i
\(47\) 15305.2i 1.01064i 0.862933 + 0.505318i \(0.168625\pi\)
−0.862933 + 0.505318i \(0.831375\pi\)
\(48\) −22989.8 7012.91i −1.44023 0.439334i
\(49\) −14231.0 −0.846728
\(50\) −11779.7 13181.0i −0.666358 0.745632i
\(51\) 15393.2 + 15393.2i 0.828713 + 0.828713i
\(52\) 4830.45 + 19348.0i 0.247730 + 0.992265i
\(53\) 16516.3 + 16516.3i 0.807650 + 0.807650i 0.984278 0.176628i \(-0.0565190\pi\)
−0.176628 + 0.984278i \(0.556519\pi\)
\(54\) −2303.31 + 8310.54i −0.107490 + 0.387833i
\(55\) 10634.9 13198.3i 0.474054 0.588317i
\(56\) 9184.56 + 236.180i 0.391371 + 0.0100640i
\(57\) 21701.7 0.884723
\(58\) −7418.39 + 26766.2i −0.289561 + 1.04476i
\(59\) −11212.5 + 11212.5i −0.419345 + 0.419345i −0.884978 0.465633i \(-0.845827\pi\)
0.465633 + 0.884978i \(0.345827\pi\)
\(60\) 14468.8 + 39416.9i 0.518866 + 1.41353i
\(61\) 31338.7 + 31338.7i 1.07834 + 1.07834i 0.996658 + 0.0816818i \(0.0260291\pi\)
0.0816818 + 0.996658i \(0.473971\pi\)
\(62\) 19472.3 + 34404.6i 0.643337 + 1.13668i
\(63\) 15629.9i 0.496140i
\(64\) 32724.7 + 1684.13i 0.998678 + 0.0513957i
\(65\) 21858.0 27126.5i 0.641693 0.796361i
\(66\) −35037.2 + 19830.3i −0.990078 + 0.560364i
\(67\) 39863.7 39863.7i 1.08490 1.08490i 0.0888579 0.996044i \(-0.471678\pi\)
0.996044 0.0888579i \(-0.0283217\pi\)
\(68\) −25444.1 15277.5i −0.667290 0.400663i
\(69\) −71845.7 + 71845.7i −1.81668 + 1.81668i
\(70\) −9354.00 13042.5i −0.228167 0.318139i
\(71\) 56515.5i 1.33052i −0.746612 0.665260i \(-0.768321\pi\)
0.746612 0.665260i \(-0.231679\pi\)
\(72\) 1432.99 55726.2i 0.0325771 1.26686i
\(73\) −19246.2 −0.422705 −0.211352 0.977410i \(-0.567787\pi\)
−0.211352 + 0.977410i \(0.567787\pi\)
\(74\) 14690.7 53005.3i 0.311863 1.12523i
\(75\) 39651.3 61710.1i 0.813962 1.26679i
\(76\) −28705.1 + 7166.56i −0.570066 + 0.142324i
\(77\) 10881.8 10881.8i 0.209159 0.209159i
\(78\) −72012.0 + 40757.3i −1.34020 + 0.758524i
\(79\) −13120.1 −0.236522 −0.118261 0.992983i \(-0.537732\pi\)
−0.118261 + 0.992983i \(0.537732\pi\)
\(80\) −32154.7 47359.0i −0.561719 0.827328i
\(81\) 39048.2 0.661285
\(82\) −39260.2 + 22220.5i −0.644789 + 0.364938i
\(83\) 59313.5 59313.5i 0.945058 0.945058i −0.0535098 0.998567i \(-0.517041\pi\)
0.998567 + 0.0535098i \(0.0170408\pi\)
\(84\) 9234.30 + 36987.3i 0.142793 + 0.571945i
\(85\) 5544.26 + 51548.6i 0.0832331 + 0.773872i
\(86\) −3442.40 + 12420.5i −0.0501898 + 0.181089i
\(87\) −115249. −1.63245
\(88\) 39795.5 37800.1i 0.547806 0.520339i
\(89\) 10276.8i 0.137525i 0.997633 + 0.0687625i \(0.0219051\pi\)
−0.997633 + 0.0687625i \(0.978095\pi\)
\(90\) −79134.0 + 56754.2i −1.02981 + 0.738571i
\(91\) 22365.5 22365.5i 0.283123 0.283123i
\(92\) 71305.5 118757.i 0.878321 1.46281i
\(93\) −115991. + 115991.i −1.39065 + 1.39065i
\(94\) 75348.1 42645.5i 0.879535 0.497799i
\(95\) 40245.4 + 32429.0i 0.457517 + 0.368659i
\(96\) 29532.6 + 132720.i 0.327057 + 1.46980i
\(97\) 108350.i 1.16923i 0.811313 + 0.584613i \(0.198754\pi\)
−0.811313 + 0.584613i \(0.801246\pi\)
\(98\) 39652.3 + 70059.5i 0.417064 + 0.736889i
\(99\) −66024.3 66024.3i −0.677042 0.677042i
\(100\) −32068.6 + 94718.5i −0.320686 + 0.947185i
\(101\) −104512. + 104512.i −1.01944 + 1.01944i −0.0196363 + 0.999807i \(0.506251\pi\)
−0.999807 + 0.0196363i \(0.993749\pi\)
\(102\) 32890.7 118672.i 0.313020 1.12940i
\(103\) −33774.1 −0.313683 −0.156842 0.987624i \(-0.550131\pi\)
−0.156842 + 0.987624i \(0.550131\pi\)
\(104\) 81791.7 77690.6i 0.741525 0.704345i
\(105\) 41785.6 51857.3i 0.369874 0.459025i
\(106\) 35290.3 127330.i 0.305064 1.10070i
\(107\) −65918.2 65918.2i −0.556603 0.556603i 0.371736 0.928339i \(-0.378763\pi\)
−0.928339 + 0.371736i \(0.878763\pi\)
\(108\) 47330.9 11816.7i 0.390468 0.0974848i
\(109\) −50536.6 50536.6i −0.407418 0.407418i 0.473419 0.880837i \(-0.343020\pi\)
−0.880837 + 0.473419i \(0.843020\pi\)
\(110\) −94608.3 15581.2i −0.745500 0.122778i
\(111\) 228229. 1.75818
\(112\) −24428.6 45874.0i −0.184015 0.345559i
\(113\) 82014.4i 0.604218i 0.953273 + 0.302109i \(0.0976907\pi\)
−0.953273 + 0.302109i \(0.902309\pi\)
\(114\) −60468.5 106839.i −0.435779 0.769956i
\(115\) −240596. + 25877.0i −1.69646 + 0.182461i
\(116\) 152441. 38058.6i 1.05186 0.262608i
\(117\) −135700. 135700.i −0.916462 0.916462i
\(118\) 86441.3 + 23957.7i 0.571500 + 0.158394i
\(119\) 47072.4i 0.304719i
\(120\) 153736. 181059.i 0.974589 1.14780i
\(121\) 69116.0i 0.429156i
\(122\) 66961.2 241602.i 0.407309 1.46960i
\(123\) −132361. 132361.i −0.788854 0.788854i
\(124\) 115119. 191726.i 0.672344 1.11976i
\(125\) 165746. 55189.0i 0.948786 0.315920i
\(126\) −76946.4 + 43550.1i −0.431780 + 0.244379i
\(127\) 281374.i 1.54801i 0.633179 + 0.774006i \(0.281750\pi\)
−0.633179 + 0.774006i \(0.718250\pi\)
\(128\) −82891.1 165797.i −0.447181 0.894444i
\(129\) −53479.7 −0.282953
\(130\) −194449. 32024.2i −1.00913 0.166196i
\(131\) 116063. + 116063.i 0.590901 + 0.590901i 0.937875 0.346974i \(-0.112791\pi\)
−0.346974 + 0.937875i \(0.612791\pi\)
\(132\) 195251. + 117235.i 0.975346 + 0.585630i
\(133\) 33181.9 + 33181.9i 0.162657 + 0.162657i
\(134\) −307324. 85176.7i −1.47855 0.409787i
\(135\) −66359.4 53471.1i −0.313378 0.252514i
\(136\) −4315.73 + 167830.i −0.0200082 + 0.778078i
\(137\) 368917. 1.67930 0.839649 0.543130i \(-0.182761\pi\)
0.839649 + 0.543130i \(0.182761\pi\)
\(138\) 553886. + 153513.i 2.47584 + 0.686193i
\(139\) −102924. + 102924.i −0.451836 + 0.451836i −0.895964 0.444127i \(-0.853514\pi\)
0.444127 + 0.895964i \(0.353514\pi\)
\(140\) −38145.5 + 82391.0i −0.164484 + 0.355271i
\(141\) 254027. + 254027.i 1.07605 + 1.07605i
\(142\) −278228. + 157471.i −1.15792 + 0.655361i
\(143\) 188954.i 0.772710i
\(144\) −278335. + 148218.i −1.11857 + 0.595653i
\(145\) −213727. 172217.i −0.844188 0.680231i
\(146\) 53626.4 + 94749.6i 0.208207 + 0.367871i
\(147\) −236197. + 236197.i −0.901532 + 0.901532i
\(148\) −301881. + 75367.9i −1.13287 + 0.282834i
\(149\) 182424. 182424.i 0.673156 0.673156i −0.285286 0.958442i \(-0.592089\pi\)
0.958442 + 0.285286i \(0.0920886\pi\)
\(150\) −414283. 23259.4i −1.50338 0.0844055i
\(151\) 379515.i 1.35452i 0.735742 + 0.677262i \(0.236833\pi\)
−0.735742 + 0.677262i \(0.763167\pi\)
\(152\) 115263. + 121348.i 0.404653 + 0.426013i
\(153\) 285606. 0.986368
\(154\) −83892.3 23251.2i −0.285049 0.0790030i
\(155\) −388428. + 41777.0i −1.29862 + 0.139672i
\(156\) 401300. + 240954.i 1.32025 + 0.792725i
\(157\) −232270. + 232270.i −0.752045 + 0.752045i −0.974861 0.222816i \(-0.928475\pi\)
0.222816 + 0.974861i \(0.428475\pi\)
\(158\) 36557.2 + 64591.0i 0.116501 + 0.205840i
\(159\) 548256. 1.71985
\(160\) −143556. + 290257.i −0.443325 + 0.896361i
\(161\) −219704. −0.667994
\(162\) −108802. 192236.i −0.325722 0.575502i
\(163\) 396761. 396761.i 1.16966 1.16966i 0.187373 0.982289i \(-0.440003\pi\)
0.982289 0.187373i \(-0.0599973\pi\)
\(164\) 218784. + 131366.i 0.635195 + 0.381392i
\(165\) −42545.1 395570.i −0.121658 1.13113i
\(166\) −457270. 126735.i −1.28796 0.356966i
\(167\) −220686. −0.612327 −0.306164 0.951979i \(-0.599045\pi\)
−0.306164 + 0.951979i \(0.599045\pi\)
\(168\) 156360. 148520.i 0.427418 0.405987i
\(169\) 17064.8i 0.0459604i
\(170\) 238327. 170927.i 0.632487 0.453615i
\(171\) 201327. 201327.i 0.526517 0.526517i
\(172\) 70738.1 17660.6i 0.182319 0.0455181i
\(173\) −113192. + 113192.i −0.287541 + 0.287541i −0.836107 0.548566i \(-0.815174\pi\)
0.548566 + 0.836107i \(0.315174\pi\)
\(174\) 321123. + 567375.i 0.804078 + 1.42068i
\(175\) 154981. 33727.8i 0.382546 0.0832518i
\(176\) −296975. 90590.6i −0.722667 0.220446i
\(177\) 372197.i 0.892975i
\(178\) 50592.9 28634.6i 0.119685 0.0677393i
\(179\) −213288. 213288.i −0.497546 0.497546i 0.413127 0.910673i \(-0.364437\pi\)
−0.910673 + 0.413127i \(0.864437\pi\)
\(180\) 499898. + 231443.i 1.15000 + 0.532430i
\(181\) −298301. + 298301.i −0.676797 + 0.676797i −0.959274 0.282477i \(-0.908844\pi\)
0.282477 + 0.959274i \(0.408844\pi\)
\(182\) −172424. 47788.2i −0.385850 0.106941i
\(183\) 1.04028e6 2.29627
\(184\) −783325. 20143.1i −1.70568 0.0438612i
\(185\) 423246. + 341043.i 0.909208 + 0.732622i
\(186\) 894217. + 247837.i 1.89522 + 0.525272i
\(187\) 198845. + 198845.i 0.415825 + 0.415825i
\(188\) −419891. 252117.i −0.866447 0.520244i
\(189\) −54712.6 54712.6i −0.111412 0.111412i
\(190\) 47511.7 288488.i 0.0954810 0.579754i
\(191\) −713526. −1.41523 −0.707614 0.706599i \(-0.750229\pi\)
−0.707614 + 0.706599i \(0.750229\pi\)
\(192\) 571098. 515193.i 1.11804 1.00860i
\(193\) 479360.i 0.926335i 0.886271 + 0.463168i \(0.153287\pi\)
−0.886271 + 0.463168i \(0.846713\pi\)
\(194\) 533410. 301899.i 1.01755 0.575914i
\(195\) −87443.1 813016.i −0.164679 1.53113i
\(196\) 234421. 390419.i 0.435869 0.725924i
\(197\) −137191. 137191.i −0.251860 0.251860i 0.569873 0.821733i \(-0.306992\pi\)
−0.821733 + 0.569873i \(0.806992\pi\)
\(198\) −141074. + 509006.i −0.255731 + 0.922699i
\(199\) 80440.2i 0.143993i −0.997405 0.0719963i \(-0.977063\pi\)
0.997405 0.0719963i \(-0.0229370\pi\)
\(200\) 555657. 106043.i 0.982272 0.187459i
\(201\) 1.32327e6i 2.31024i
\(202\) 805723. + 223311.i 1.38934 + 0.385062i
\(203\) −176215. 176215.i −0.300126 0.300126i
\(204\) −675873. + 168739.i −1.13708 + 0.283884i
\(205\) −47673.1 443248.i −0.0792298 0.736651i
\(206\) 94106.2 + 166271.i 0.154508 + 0.272992i
\(207\) 1.33303e6i 2.16228i
\(208\) −610373. 186191.i −0.978221 0.298401i
\(209\) 280336. 0.443929
\(210\) −371725. 61220.2i −0.581665 0.0957957i
\(211\) −489559. 489559.i −0.757005 0.757005i 0.218771 0.975776i \(-0.429795\pi\)
−0.975776 + 0.218771i \(0.929795\pi\)
\(212\) −725183. + 181050.i −1.10817 + 0.276668i
\(213\) −938011. 938011.i −1.41664 1.41664i
\(214\) −140847. + 508188.i −0.210239 + 0.758560i
\(215\) −99177.0 79914.9i −0.146324 0.117905i
\(216\) −190054. 200087.i −0.277168 0.291799i
\(217\) −354699. −0.511341
\(218\) −107981. + 389606.i −0.153889 + 0.555245i
\(219\) −319437. + 319437.i −0.450064 + 0.450064i
\(220\) 186904. + 509175.i 0.260352 + 0.709268i
\(221\) 408686. + 408686.i 0.562872 + 0.562872i
\(222\) −635923. 1.12358e6i −0.866009 1.53011i
\(223\) 87013.6i 0.117172i −0.998282 0.0585862i \(-0.981341\pi\)
0.998282 0.0585862i \(-0.0186592\pi\)
\(224\) −157773. + 248084.i −0.210094 + 0.330353i
\(225\) −204640. 940329.i −0.269484 1.23829i
\(226\) 403760. 228520.i 0.525838 0.297614i
\(227\) 145132. 145132.i 0.186939 0.186939i −0.607432 0.794371i \(-0.707800\pi\)
0.794371 + 0.607432i \(0.207800\pi\)
\(228\) −357484. + 595377.i −0.455428 + 0.758499i
\(229\) 522846. 522846.i 0.658848 0.658848i −0.296259 0.955107i \(-0.595739\pi\)
0.955107 + 0.296259i \(0.0957393\pi\)
\(230\) 797775. + 1.11236e6i 0.994400 + 1.38652i
\(231\) 361221.i 0.445393i
\(232\) −612117. 644429.i −0.746645 0.786059i
\(233\) −233957. −0.282323 −0.141162 0.989987i \(-0.545084\pi\)
−0.141162 + 0.989987i \(0.545084\pi\)
\(234\) −289949. + 1.04616e6i −0.346164 + 1.24899i
\(235\) 91494.2 + 850681.i 0.108075 + 1.00484i
\(236\) −122910. 492308.i −0.143651 0.575383i
\(237\) −217761. + 217761.i −0.251830 + 0.251830i
\(238\) 231739. 131160.i 0.265190 0.150092i
\(239\) 1.16950e6 1.32435 0.662177 0.749348i \(-0.269633\pi\)
0.662177 + 0.749348i \(0.269633\pi\)
\(240\) −1.31972e6 252353.i −1.47895 0.282801i
\(241\) 1.65381e6 1.83418 0.917091 0.398679i \(-0.130531\pi\)
0.917091 + 0.398679i \(0.130531\pi\)
\(242\) 340261. 192581.i 0.373485 0.211385i
\(243\) 910048. 910048.i 0.988664 0.988664i
\(244\) −1.37599e6 + 343532.i −1.47959 + 0.369396i
\(245\) −790973. + 85072.2i −0.841872 + 0.0905467i
\(246\) −282815. + 1.02042e6i −0.297965 + 1.07508i
\(247\) 576176. 0.600915
\(248\) −1.26463e6 32519.8i −1.30568 0.0335752i
\(249\) 1.96890e6i 2.01245i
\(250\) −733522. 662199.i −0.742273 0.670098i
\(251\) −373614. + 373614.i −0.374316 + 0.374316i −0.869047 0.494730i \(-0.835267\pi\)
0.494730 + 0.869047i \(0.335267\pi\)
\(252\) 428798. + 257465.i 0.425355 + 0.255397i
\(253\) −928081. + 928081.i −0.911559 + 0.911559i
\(254\) 1.38521e6 784003.i 1.34720 0.762489i
\(255\) 947594. + 763553.i 0.912582 + 0.735341i
\(256\) −585264. + 870044.i −0.558152 + 0.829739i
\(257\) 1.16138e6i 1.09684i −0.836205 0.548418i \(-0.815230\pi\)
0.836205 0.548418i \(-0.184770\pi\)
\(258\) 149013. + 263283.i 0.139371 + 0.246248i
\(259\) 348961. + 348961.i 0.323242 + 0.323242i
\(260\) 384144. + 1.04651e6i 0.352420 + 0.960084i
\(261\) −1.06917e6 + 1.06917e6i −0.971502 + 0.971502i
\(262\) 247991. 894772.i 0.223194 0.805303i
\(263\) −990241. −0.882778 −0.441389 0.897316i \(-0.645514\pi\)
−0.441389 + 0.897316i \(0.645514\pi\)
\(264\) 33117.8 1.28789e6i 0.0292450 1.13728i
\(265\) 1.01673e6 + 819261.i 0.889386 + 0.716651i
\(266\) 70899.7 255812.i 0.0614384 0.221675i
\(267\) 170568. + 170568.i 0.146426 + 0.146426i
\(268\) 436983. + 1.75030e6i 0.371644 + 1.48859i
\(269\) −134551. 134551.i −0.113372 0.113372i 0.648145 0.761517i \(-0.275545\pi\)
−0.761517 + 0.648145i \(0.775545\pi\)
\(270\) −78340.6 + 475679.i −0.0653999 + 0.397104i
\(271\) −2.02948e6 −1.67866 −0.839328 0.543625i \(-0.817052\pi\)
−0.839328 + 0.543625i \(0.817052\pi\)
\(272\) 838261. 446386.i 0.687000 0.365838i
\(273\) 742418.i 0.602895i
\(274\) −1.02793e6 1.81619e6i −0.827155 1.46146i
\(275\) 512203. 797152.i 0.408423 0.635637i
\(276\) −787567. 3.15454e6i −0.622321 2.49266i
\(277\) 945356. + 945356.i 0.740280 + 0.740280i 0.972632 0.232352i \(-0.0746420\pi\)
−0.232352 + 0.972632i \(0.574642\pi\)
\(278\) 793483. + 219918.i 0.615780 + 0.170667i
\(279\) 2.15209e6i 1.65520i
\(280\) 511900. 41777.9i 0.390203 0.0318458i
\(281\) 2.09290e6i 1.58119i −0.612340 0.790594i \(-0.709772\pi\)
0.612340 0.790594i \(-0.290228\pi\)
\(282\) 542779. 1.95839e6i 0.406443 1.46648i
\(283\) −747105. 747105.i −0.554518 0.554518i 0.373224 0.927741i \(-0.378252\pi\)
−0.927741 + 0.373224i \(0.878252\pi\)
\(284\) 1.55048e6 + 930957.i 1.14069 + 0.684911i
\(285\) 1.20621e6 129732.i 0.879650 0.0946099i
\(286\) −930229. + 526491.i −0.672473 + 0.380606i
\(287\) 404759.i 0.290062i
\(288\) 1.50522e6 + 957270.i 1.06935 + 0.680069i
\(289\) 559699. 0.394194
\(290\) −252315. + 1.53204e6i −0.176177 + 1.06973i
\(291\) 1.79832e6 + 1.79832e6i 1.24490 + 1.24490i
\(292\) 317035. 528009.i 0.217595 0.362397i
\(293\) 461932. + 461932.i 0.314347 + 0.314347i 0.846591 0.532244i \(-0.178651\pi\)
−0.532244 + 0.846591i \(0.678651\pi\)
\(294\) 1.82093e6 + 504682.i 1.22864 + 0.340525i
\(295\) −556175. + 690231.i −0.372097 + 0.461784i
\(296\) 1.21218e6 + 1.27617e6i 0.804152 + 0.846601i
\(297\) −462238. −0.304070
\(298\) −1.40637e6 389784.i −0.917403 0.254263i
\(299\) −1.90749e6 + 1.90749e6i −1.23391 + 1.23391i
\(300\) 1.03983e6 + 2.10434e6i 0.667049 + 1.34993i
\(301\) −81770.3 81770.3i −0.0520211 0.0520211i
\(302\) 1.86837e6 1.05746e6i 1.17881 0.667184i
\(303\) 3.46926e6i 2.17085i
\(304\) 276237. 905563.i 0.171434 0.561998i
\(305\) 1.92918e6 + 1.55450e6i 1.18747 + 0.956842i
\(306\) −795796. 1.40605e6i −0.485845 0.858414i
\(307\) −1.36357e6 + 1.36357e6i −0.825720 + 0.825720i −0.986922 0.161202i \(-0.948463\pi\)
0.161202 + 0.986922i \(0.448463\pi\)
\(308\) 119286. + 477791.i 0.0716494 + 0.286986i
\(309\) −560563. + 560563.i −0.333986 + 0.333986i
\(310\) 1.28796e6 + 1.79584e6i 0.761201 + 1.06136i
\(311\) 2.15867e6i 1.26557i −0.774328 0.632785i \(-0.781912\pi\)
0.774328 0.632785i \(-0.218088\pi\)
\(312\) 68067.0 2.64699e6i 0.0395868 1.53945i
\(313\) 1.08459e6 0.625754 0.312877 0.949794i \(-0.398707\pi\)
0.312877 + 0.949794i \(0.398707\pi\)
\(314\) 1.79066e6 + 496291.i 1.02492 + 0.284061i
\(315\) −93434.9 868726.i −0.0530558 0.493295i
\(316\) 216123. 359945.i 0.121754 0.202777i
\(317\) −1.82695e6 + 1.82695e6i −1.02112 + 1.02112i −0.0213528 + 0.999772i \(0.506797\pi\)
−0.999772 + 0.0213528i \(0.993203\pi\)
\(318\) −1.52763e6 2.69908e6i −0.847129 1.49675i
\(319\) −1.48875e6 −0.819116
\(320\) 1.82894e6 102021.i 0.998448 0.0556949i
\(321\) −2.18814e6 −1.18526
\(322\) 612170. + 1.08161e6i 0.329027 + 0.581341i
\(323\) −606336. + 606336.i −0.323375 + 0.323375i
\(324\) −643226. + 1.07127e6i −0.340409 + 0.566938i
\(325\) 1.05273e6 1.63839e6i 0.552852 0.860415i
\(326\) −3.05878e6 847759.i −1.59406 0.441803i
\(327\) −1.67755e6 −0.867576
\(328\) 37109.4 1.44311e6i 0.0190458 0.740655i
\(329\) 776813.i 0.395664i
\(330\) −1.82886e6 + 1.31164e6i −0.924477 + 0.663027i
\(331\) 1.56255e6 1.56255e6i 0.783905 0.783905i −0.196583 0.980487i \(-0.562984\pi\)
0.980487 + 0.196583i \(0.0629844\pi\)
\(332\) 650190. + 2.60429e6i 0.323739 + 1.29671i
\(333\) 2.11728e6 2.11728e6i 1.04633 1.04633i
\(334\) 614906. + 1.08645e6i 0.301608 + 0.532895i
\(335\) 1.97737e6 2.45397e6i 0.962665 1.19470i
\(336\) −1.16684e6 355939.i −0.563850 0.171999i
\(337\) 3.35947e6i 1.61137i 0.592341 + 0.805687i \(0.298204\pi\)
−0.592341 + 0.805687i \(0.701796\pi\)
\(338\) −84010.5 + 47548.3i −0.0399983 + 0.0226383i
\(339\) 1.36123e6 + 1.36123e6i 0.643326 + 0.643326i
\(340\) −1.50554e6 697036.i −0.706309 0.327007i
\(341\) −1.49833e6 + 1.49833e6i −0.697787 + 0.697787i
\(342\) −1.55211e6 430175.i −0.717557 0.198875i
\(343\) −1.57532e6 −0.722994
\(344\) −284044. 299038.i −0.129417 0.136248i
\(345\) −3.56378e6 + 4.42276e6i −1.61199 + 2.00053i
\(346\) 872639. + 241857.i 0.391872 + 0.108610i
\(347\) −187950. 187950.i −0.0837950 0.0837950i 0.663967 0.747762i \(-0.268872\pi\)
−0.747762 + 0.663967i \(0.768872\pi\)
\(348\) 1.89845e6 3.16180e6i 0.840333 1.39954i
\(349\) −1.94144e6 1.94144e6i −0.853218 0.853218i 0.137310 0.990528i \(-0.456154\pi\)
−0.990528 + 0.137310i \(0.956154\pi\)
\(350\) −597874. 669001.i −0.260879 0.291915i
\(351\) −950038. −0.411598
\(352\) 381493. + 1.71444e6i 0.164108 + 0.737504i
\(353\) 3.31817e6i 1.41730i −0.705560 0.708650i \(-0.749305\pi\)
0.705560 0.708650i \(-0.250695\pi\)
\(354\) 1.83234e6 1.03707e6i 0.777137 0.439844i
\(355\) −337848. 3.14119e6i −0.142282 1.32289i
\(356\) −281938. 169285.i −0.117904 0.0707936i
\(357\) 781280. + 781280.i 0.324441 + 0.324441i
\(358\) −455732. + 1.64432e6i −0.187932 + 0.678075i
\(359\) 2.70644e6i 1.10831i 0.832413 + 0.554156i \(0.186959\pi\)
−0.832413 + 0.554156i \(0.813041\pi\)
\(360\) −253483. 3.10589e6i −0.103084 1.26308i
\(361\) 1.62127e6i 0.654769i
\(362\) 2.29972e6 + 637379.i 0.922365 + 0.255639i
\(363\) 1.14715e6 + 1.14715e6i 0.456933 + 0.456933i
\(364\) 245168. + 982004.i 0.0969865 + 0.388472i
\(365\) −1.06972e6 + 115053.i −0.420281 + 0.0452029i
\(366\) −2.89858e6 5.12135e6i −1.13105 1.99840i
\(367\) 11531.9i 0.00446927i 0.999998 + 0.00223463i \(0.000711307\pi\)
−0.999998 + 0.00223463i \(0.999289\pi\)
\(368\) 2.08344e6 + 3.91246e6i 0.801978 + 1.50602i
\(369\) −2.45582e6 −0.938926
\(370\) 499663. 3.03392e6i 0.189746 1.15212i
\(371\) 838281. + 838281.i 0.316195 + 0.316195i
\(372\) −1.27148e6 5.09283e6i −0.476379 1.90810i
\(373\) −983995. 983995.i −0.366202 0.366202i 0.499888 0.866090i \(-0.333374\pi\)
−0.866090 + 0.499888i \(0.833374\pi\)
\(374\) 424872. 1.53297e6i 0.157065 0.566702i
\(375\) 1.83496e6 3.66695e6i 0.673828 1.34656i
\(376\) −71220.4 + 2.76962e6i −0.0259797 + 1.01030i
\(377\) −3.05983e6 −1.10878
\(378\) −116904. + 421800.i −0.0420824 + 0.151837i
\(379\) 574256. 574256.i 0.205356 0.205356i −0.596934 0.802290i \(-0.703615\pi\)
0.802290 + 0.596934i \(0.203615\pi\)
\(380\) −1.55262e6 + 569924.i −0.551578 + 0.202469i
\(381\) 4.67008e6 + 4.67008e6i 1.64821 + 1.64821i
\(382\) 1.98813e6 + 3.51272e6i 0.697085 + 1.23164i
\(383\) 3.60153e6i 1.25455i −0.778796 0.627277i \(-0.784169\pi\)
0.778796 0.627277i \(-0.215831\pi\)
\(384\) −4.12759e6 1.37603e6i −1.42846 0.476212i
\(385\) 539774. 669877.i 0.185592 0.230326i
\(386\) 2.35991e6 1.33566e6i 0.806170 0.456276i
\(387\) −496131. + 496131.i −0.168391 + 0.168391i
\(388\) −2.97252e6 1.78480e6i −1.00241 0.601881i
\(389\) 2.92428e6 2.92428e6i 0.979817 0.979817i −0.0199835 0.999800i \(-0.506361\pi\)
0.999800 + 0.0199835i \(0.00636138\pi\)
\(390\) −3.75886e6 + 2.69582e6i −1.25140 + 0.897491i
\(391\) 4.01467e6i 1.32803i
\(392\) −2.57523e6 66221.5i −0.846448 0.0217663i
\(393\) 3.85269e6 1.25829
\(394\) −293135. + 1.05765e6i −0.0951321 + 0.343244i
\(395\) −729233. + 78431.9i −0.235165 + 0.0252930i
\(396\) 2.89894e6 723753.i 0.928968 0.231927i
\(397\) 1.40825e6 1.40825e6i 0.448439 0.448439i −0.446396 0.894835i \(-0.647293\pi\)
0.894835 + 0.446396i \(0.147293\pi\)
\(398\) −396010. + 224134.i −0.125314 + 0.0709251i
\(399\) 1.10147e6 0.346369
\(400\) −2.07030e6 2.44005e6i −0.646970 0.762515i
\(401\) −1.58373e6 −0.491835 −0.245917 0.969291i \(-0.579089\pi\)
−0.245917 + 0.969291i \(0.579089\pi\)
\(402\) −6.51450e6 + 3.68708e6i −2.01056 + 1.13793i
\(403\) −3.07953e6 + 3.07953e6i −0.944543 + 0.944543i
\(404\) −1.14565e6 4.58883e6i −0.349220 1.39878i
\(405\) 2.17034e6 233429.i 0.657493 0.0707159i
\(406\) −376519. + 1.35851e6i −0.113363 + 0.409023i
\(407\) 2.94819e6 0.882205
\(408\) 2.71392e6 + 2.85718e6i 0.807136 + 0.849743i
\(409\) 5.56811e6i 1.64589i 0.568124 + 0.822943i \(0.307669\pi\)
−0.568124 + 0.822943i \(0.692331\pi\)
\(410\) −2.04929e6 + 1.46974e6i −0.602066 + 0.431797i
\(411\) 6.12308e6 6.12308e6i 1.78799 1.78799i
\(412\) 556348. 926577.i 0.161474 0.268930i
\(413\) −569087. + 569087.i −0.164174 + 0.164174i
\(414\) 6.56254e6 3.71426e6i 1.88179 1.06505i
\(415\) 2.94214e6 3.65129e6i 0.838577 1.04070i
\(416\) 784083. + 3.52368e6i 0.222141 + 0.998305i
\(417\) 3.41656e6i 0.962163i
\(418\) −781113. 1.38011e6i −0.218662 0.386342i
\(419\) −2.22354e6 2.22354e6i −0.618741 0.618741i 0.326467 0.945208i \(-0.394142\pi\)
−0.945208 + 0.326467i \(0.894142\pi\)
\(420\) 734362. + 2.00059e6i 0.203136 + 0.553396i
\(421\) −89620.5 + 89620.5i −0.0246435 + 0.0246435i −0.719321 0.694678i \(-0.755547\pi\)
0.694678 + 0.719321i \(0.255547\pi\)
\(422\) −1.04604e6 + 3.77419e6i −0.285935 + 1.03168i
\(423\) 4.71322e6 1.28076
\(424\) 2.91193e6 + 3.06564e6i 0.786621 + 0.828145i
\(425\) 616312. + 2.83199e6i 0.165512 + 0.760534i
\(426\) −2.00425e6 + 7.23148e6i −0.535090 + 1.93065i
\(427\) 1.59059e6 + 1.59059e6i 0.422170 + 0.422170i
\(428\) 2.89428e6 722589.i 0.763714 0.190670i
\(429\) −3.13615e6 3.13615e6i −0.822723 0.822723i
\(430\) −117083. + 710922.i −0.0305368 + 0.185418i
\(431\) −4.66348e6 −1.20925 −0.604627 0.796509i \(-0.706678\pi\)
−0.604627 + 0.796509i \(0.706678\pi\)
\(432\) −455478. + 1.49315e6i −0.117424 + 0.384942i
\(433\) 1.70027e6i 0.435812i −0.975970 0.217906i \(-0.930077\pi\)
0.975970 0.217906i \(-0.0699226\pi\)
\(434\) 988313. + 1.74620e6i 0.251866 + 0.445009i
\(435\) −6.40567e6 + 688956.i −1.62309 + 0.174569i
\(436\) 2.21892e6 553978.i 0.559017 0.139565i
\(437\) −2.82999e6 2.82999e6i −0.708893 0.708893i
\(438\) 2.46266e6 + 682539.i 0.613365 + 0.169997i
\(439\) 610794.i 0.151263i 0.997136 + 0.0756317i \(0.0240973\pi\)
−0.997136 + 0.0756317i \(0.975903\pi\)
\(440\) 1.98591e6 2.33887e6i 0.489021 0.575936i
\(441\) 4.38240e6i 1.07304i
\(442\) 873239. 3.15072e6i 0.212607 0.767103i
\(443\) −2.87933e6 2.87933e6i −0.697080 0.697080i 0.266700 0.963780i \(-0.414067\pi\)
−0.963780 + 0.266700i \(0.914067\pi\)
\(444\) −3.75953e6 + 6.26135e6i −0.905056 + 1.50734i
\(445\) 61434.2 + 571194.i 0.0147065 + 0.136736i
\(446\) −428371. + 242450.i −0.101973 + 0.0577144i
\(447\) 6.05553e6i 1.43345i
\(448\) 1.66094e6 + 85477.9i 0.390983 + 0.0201214i
\(449\) −6.67212e6 −1.56188 −0.780941 0.624605i \(-0.785260\pi\)
−0.780941 + 0.624605i \(0.785260\pi\)
\(450\) −4.05908e6 + 3.62753e6i −0.944923 + 0.844460i
\(451\) −1.70980e6 1.70980e6i −0.395825 0.395825i
\(452\) −2.25003e6 1.35099e6i −0.518014 0.311033i
\(453\) 6.29897e6 + 6.29897e6i 1.44219 + 1.44219i
\(454\) −1.11888e6 310104.i −0.254767 0.0706102i
\(455\) 1.10940e6 1.37680e6i 0.251223 0.311776i
\(456\) 3.92714e6 + 100986.i 0.884431 + 0.0227430i
\(457\) 5.21775e6 1.16867 0.584336 0.811512i \(-0.301355\pi\)
0.584336 + 0.811512i \(0.301355\pi\)
\(458\) −4.03082e6 1.11716e6i −0.897903 0.248859i
\(459\) 999768. 999768.i 0.221497 0.221497i
\(460\) 3.25332e6 7.02689e6i 0.716855 1.54835i
\(461\) −4.06615e6 4.06615e6i −0.891110 0.891110i 0.103517 0.994628i \(-0.466990\pi\)
−0.994628 + 0.103517i \(0.966990\pi\)
\(462\) −1.77831e6 + 1.00649e6i −0.387616 + 0.219383i
\(463\) 312313.i 0.0677077i 0.999427 + 0.0338538i \(0.0107781\pi\)
−0.999427 + 0.0338538i \(0.989222\pi\)
\(464\) −1.46698e6 + 4.80907e6i −0.316322 + 1.03697i
\(465\) −5.75351e6 + 7.14029e6i −1.23396 + 1.53138i
\(466\) 651884. + 1.15178e6i 0.139061 + 0.245700i
\(467\) 4.57224e6 4.57224e6i 0.970145 0.970145i −0.0294217 0.999567i \(-0.509367\pi\)
0.999567 + 0.0294217i \(0.00936657\pi\)
\(468\) 5.95819e6 1.48753e6i 1.25748 0.313943i
\(469\) 2.02327e6 2.02327e6i 0.424739 0.424739i
\(470\) 3.93300e6 2.82072e6i 0.821258 0.588999i
\(471\) 7.71016e6i 1.60144i
\(472\) −2.08118e6 + 1.97683e6i −0.429987 + 0.408427i
\(473\) −690834. −0.141978
\(474\) 1.67880e6 + 465288.i 0.343204 + 0.0951210i
\(475\) 2.43075e6 + 1.56186e6i 0.494317 + 0.317619i
\(476\) −1.29141e6 775405.i −0.261244 0.156860i
\(477\) 5.08617e6 5.08617e6i 1.02352 1.02352i
\(478\) −3.25861e6 5.75747e6i −0.652324 1.15256i
\(479\) 4.61215e6 0.918469 0.459234 0.888315i \(-0.348124\pi\)
0.459234 + 0.888315i \(0.348124\pi\)
\(480\) 2.43485e6 + 7.20018e6i 0.482358 + 1.42640i
\(481\) 6.05942e6 1.19418
\(482\) −4.60807e6 8.14176e6i −0.903445 1.59625i
\(483\) −3.64651e6 + 3.64651e6i −0.711230 + 0.711230i
\(484\) −1.89616e6 1.13852e6i −0.367928 0.220916i
\(485\) 647711. + 6.02220e6i 0.125034 + 1.16252i
\(486\) −7.01590e6 1.94450e6i −1.34739 0.373436i
\(487\) −5.53756e6 −1.05803 −0.529013 0.848614i \(-0.677438\pi\)
−0.529013 + 0.848614i \(0.677438\pi\)
\(488\) 5.52520e6 + 5.81686e6i 1.05026 + 1.10570i
\(489\) 1.31704e7i 2.49074i
\(490\) 2.62273e6 + 3.65695e6i 0.493474 + 0.688064i
\(491\) −2.77978e6 + 2.77978e6i −0.520364 + 0.520364i −0.917681 0.397317i \(-0.869941\pi\)
0.397317 + 0.917681i \(0.369941\pi\)
\(492\) 5.81158e6 1.45093e6i 1.08239 0.270230i
\(493\) 3.22000e6 3.22000e6i 0.596676 0.596676i
\(494\) −1.60542e6 2.83654e6i −0.295987 0.522963i
\(495\) −4.06440e6 3.27501e6i −0.745561 0.600759i
\(496\) 3.36360e6 + 6.31645e6i 0.613904 + 1.15284i
\(497\) 2.86843e6i 0.520899i
\(498\) −9.69298e6 + 5.48603e6i −1.75139 + 0.991254i
\(499\) 6.49928e6 + 6.49928e6i 1.16846 + 1.16846i 0.982571 + 0.185890i \(0.0595168\pi\)
0.185890 + 0.982571i \(0.440483\pi\)
\(500\) −1.21619e6 + 5.45627e6i −0.217558 + 0.976047i
\(501\) −3.66282e6 + 3.66282e6i −0.651960 + 0.651960i
\(502\) 2.88033e6 + 798300.i 0.510133 + 0.141386i
\(503\) −4.43104e6 −0.780883 −0.390441 0.920628i \(-0.627678\pi\)
−0.390441 + 0.920628i \(0.627678\pi\)
\(504\) 72731.1 2.82837e6i 0.0127539 0.495976i
\(505\) −5.18413e6 + 6.43367e6i −0.904581 + 1.12261i
\(506\) 7.15493e6 + 1.98303e6i 1.24231 + 0.344312i
\(507\) −283231. 283231.i −0.0489352 0.0489352i
\(508\) −7.71935e6 4.63496e6i −1.32715 0.796868i
\(509\) −2.37437e6 2.37437e6i −0.406213 0.406213i 0.474203 0.880416i \(-0.342736\pi\)
−0.880416 + 0.474203i \(0.842736\pi\)
\(510\) 1.11868e6 6.79256e6i 0.190450 1.15640i
\(511\) −976835. −0.165489
\(512\) 5.91401e6 + 457039.i 0.997027 + 0.0770511i
\(513\) 1.40950e6i 0.236467i
\(514\) −5.71752e6 + 3.23600e6i −0.954552 + 0.540257i
\(515\) −1.87720e6 + 201901.i −0.311884 + 0.0335444i
\(516\) 880950. 1.46719e6i 0.145656 0.242584i
\(517\) 3.28144e6 + 3.28144e6i 0.539931 + 0.539931i
\(518\) 745625. 2.69027e6i 0.122094 0.440527i
\(519\) 3.75739e6i 0.612304i
\(520\) 4.08164e6 4.80708e6i 0.661952 0.779602i
\(521\) 5.99564e6i 0.967701i 0.875151 + 0.483850i \(0.160762\pi\)
−0.875151 + 0.483850i \(0.839238\pi\)
\(522\) 8.24260e6 + 2.28448e6i 1.32400 + 0.366954i
\(523\) 2.59431e6 + 2.59431e6i 0.414732 + 0.414732i 0.883383 0.468651i \(-0.155260\pi\)
−0.468651 + 0.883383i \(0.655260\pi\)
\(524\) −5.09599e6 + 1.27227e6i −0.810775 + 0.202419i
\(525\) 2.01249e6 3.13208e6i 0.318666 0.495947i
\(526\) 2.75915e6 + 4.87499e6i 0.434821 + 0.768262i
\(527\) 6.48145e6i 1.01659i
\(528\) −6.43259e6 + 3.42545e6i −1.00416 + 0.534728i
\(529\) 1.23015e7 1.91126
\(530\) 1.20030e6 7.28813e6i 0.185609 1.12701i
\(531\) 3.45287e6 + 3.45287e6i 0.531427 + 0.531427i
\(532\) −1.45692e6 + 363737.i −0.223181 + 0.0557197i
\(533\) −3.51415e6 3.51415e6i −0.535799 0.535799i
\(534\) 364452. 1.31497e6i 0.0553079 0.199555i
\(535\) −4.05786e6 3.26975e6i −0.612933 0.493890i
\(536\) 7.39922e6 7.02822e6i 1.11243 1.05665i
\(537\) −7.08006e6 −1.05950
\(538\) −287495. + 1.03730e6i −0.0428227 + 0.154508i
\(539\) −3.05112e6 + 3.05112e6i −0.452363 + 0.452363i
\(540\) 2.56007e6 939729.i 0.377804 0.138681i
\(541\) 3.60832e6 + 3.60832e6i 0.530044 + 0.530044i 0.920585 0.390541i \(-0.127712\pi\)
−0.390541 + 0.920585i \(0.627712\pi\)
\(542\) 5.65483e6 + 9.99122e6i 0.826839 + 1.46090i
\(543\) 9.90206e6i 1.44121i
\(544\) −4.53326e6 2.88300e6i −0.656770 0.417684i
\(545\) −3.11099e6 2.50678e6i −0.448650 0.361513i
\(546\) −3.65495e6 + 2.06863e6i −0.524687 + 0.296962i
\(547\) −1.93753e6 + 1.93753e6i −0.276873 + 0.276873i −0.831859 0.554986i \(-0.812723\pi\)
0.554986 + 0.831859i \(0.312723\pi\)
\(548\) −6.07703e6 + 1.01211e7i −0.864451 + 1.43971i
\(549\) 9.65069e6 9.65069e6i 1.36656 1.36656i
\(550\) −5.35158e6 300458.i −0.754354 0.0423523i
\(551\) 4.53963e6i 0.637004i
\(552\) −1.33355e7 + 1.26668e7i −1.86278 + 1.76938i
\(553\) −665910. −0.0925983
\(554\) 2.01994e6 7.28811e6i 0.279617 1.00888i
\(555\) 1.26852e7 1.36435e6i 1.74810 0.188015i
\(556\) −1.12825e6 4.51911e6i −0.154781 0.619964i
\(557\) 5.52408e6 5.52408e6i 0.754435 0.754435i −0.220869 0.975304i \(-0.570889\pi\)
0.975304 + 0.220869i \(0.0708892\pi\)
\(558\) 1.05948e7 5.99647e6i 1.44049 0.815286i
\(559\) −1.41987e6 −0.192185
\(560\) −1.63200e6 2.40370e6i −0.219913 0.323899i
\(561\) 6.60063e6 0.885479
\(562\) −1.03034e7 + 5.83155e6i −1.37607 + 0.778830i
\(563\) −553675. + 553675.i −0.0736180 + 0.0736180i −0.742957 0.669339i \(-0.766577\pi\)
0.669339 + 0.742957i \(0.266577\pi\)
\(564\) −1.11536e7 + 2.78462e6i −1.47644 + 0.368611i
\(565\) 490280. + 4.55845e6i 0.0646134 + 0.600753i
\(566\) −1.59634e6 + 5.75972e6i −0.209452 + 0.755718i
\(567\) 1.98188e6 0.258893
\(568\) 262986. 1.02270e7i 0.0342028 1.33008i
\(569\) 4.81252e6i 0.623148i −0.950222 0.311574i \(-0.899144\pi\)
0.950222 0.311574i \(-0.100856\pi\)
\(570\) −3.99958e6 5.57673e6i −0.515618 0.718940i
\(571\) 845831. 845831.i 0.108566 0.108566i −0.650737 0.759303i \(-0.725540\pi\)
0.759303 + 0.650737i \(0.225540\pi\)
\(572\) 5.18387e6 + 3.11257e6i 0.662466 + 0.397767i
\(573\) −1.18427e7 + 1.18427e7i −1.50683 + 1.50683i
\(574\) −1.99264e6 + 1.12780e6i −0.252435 + 0.142873i
\(575\) −1.32179e7 + 2.87655e6i −1.66722 + 0.362829i
\(576\) 518627. 1.00775e7i 0.0651326 1.26560i
\(577\) 1.23820e7i 1.54828i −0.633012 0.774142i \(-0.718182\pi\)
0.633012 0.774142i \(-0.281818\pi\)
\(578\) −1.55951e6 2.75542e6i −0.194164 0.343058i
\(579\) 7.95613e6 + 7.95613e6i 0.986292 + 0.986292i
\(580\) 8.24533e6 3.02663e6i 1.01774 0.373585i
\(581\) 3.01044e6 3.01044e6i 0.369990 0.369990i
\(582\) 3.84248e6 1.38640e7i 0.470223 1.69660i
\(583\) 7.08220e6 0.862972
\(584\) −3.48278e6 89559.0i −0.422565 0.0108662i
\(585\) −8.35356e6 6.73114e6i −1.00921 0.813203i
\(586\) 987009. 3.56121e6i 0.118735 0.428404i
\(587\) 1.14864e6 + 1.14864e6i 0.137591 + 0.137591i 0.772548 0.634957i \(-0.218982\pi\)
−0.634957 + 0.772548i \(0.718982\pi\)
\(588\) −2.58917e6 1.03707e7i −0.308829 1.23699i
\(589\) −4.56885e6 4.56885e6i −0.542649 0.542649i
\(590\) 4.94772e6 + 814852.i 0.585161 + 0.0963715i
\(591\) −4.55402e6 −0.536323
\(592\) 2.90508e6 9.52346e6i 0.340685 1.11684i
\(593\) 2.03892e6i 0.238102i 0.992888 + 0.119051i \(0.0379852\pi\)
−0.992888 + 0.119051i \(0.962015\pi\)
\(594\) 1.28795e6 + 2.27561e6i 0.149773 + 0.264626i
\(595\) 281398. + 2.61634e6i 0.0325858 + 0.302971i
\(596\) 1.99971e6 + 8.00971e6i 0.230596 + 0.923636i
\(597\) −1.33510e6 1.33510e6i −0.153313 0.153313i
\(598\) 1.47055e7 + 4.07572e6i 1.68162 + 0.466070i
\(599\) 264114.i 0.0300763i 0.999887 + 0.0150382i \(0.00478697\pi\)
−0.999887 + 0.0150382i \(0.995213\pi\)
\(600\) 7.46243e6 1.09825e7i 0.846257 1.24544i
\(601\) 5.03682e6i 0.568814i 0.958704 + 0.284407i \(0.0917967\pi\)
−0.958704 + 0.284407i \(0.908203\pi\)
\(602\) −174718. + 630398.i −0.0196493 + 0.0708963i
\(603\) −1.22760e7 1.22760e7i −1.37487 1.37487i
\(604\) −1.04118e7 6.25160e6i −1.16127 0.697267i
\(605\) 413173. + 3.84155e6i 0.0458927 + 0.426695i
\(606\) 1.70793e7 9.66655e6i 1.88925 1.06928i
\(607\) 3.33990e6i 0.367928i 0.982933 + 0.183964i \(0.0588929\pi\)
−0.982933 + 0.183964i \(0.941107\pi\)
\(608\) −5.22781e6 + 1.16328e6i −0.573536 + 0.127622i
\(609\) −5.84944e6 −0.639103
\(610\) 2.27749e6 1.38288e7i 0.247818 1.50473i
\(611\) 6.74435e6 + 6.74435e6i 0.730865 + 0.730865i
\(612\) −4.70468e6 + 7.83547e6i −0.507751 + 0.845641i
\(613\) −1.60807e6 1.60807e6i −0.172844 0.172844i 0.615384 0.788228i \(-0.289001\pi\)
−0.788228 + 0.615384i \(0.789001\pi\)
\(614\) 1.05123e7 + 2.91354e6i 1.12532 + 0.311890i
\(615\) −8.14802e6 6.56552e6i −0.868689 0.699973i
\(616\) 2.01981e6 1.91854e6i 0.214466 0.203713i
\(617\) −9.56279e6 −1.01128 −0.505640 0.862744i \(-0.668744\pi\)
−0.505640 + 0.862744i \(0.668744\pi\)
\(618\) 4.32159e6 + 1.19775e6i 0.455169 + 0.126153i
\(619\) −5.48987e6 + 5.48987e6i −0.575885 + 0.575885i −0.933767 0.357882i \(-0.883499\pi\)
0.357882 + 0.933767i \(0.383499\pi\)
\(620\) 5.25229e6 1.13445e7i 0.548744 1.18524i
\(621\) 4.66627e6 + 4.66627e6i 0.485558 + 0.485558i
\(622\) −1.06272e7 + 6.01480e6i −1.10140 + 0.623369i
\(623\) 521595.i 0.0538410i
\(624\) −1.32209e7 + 7.04033e6i −1.35925 + 0.723822i
\(625\) 8.88244e6 4.05829e6i 0.909562 0.415569i
\(626\) −3.02203e6 5.33947e6i −0.308222 0.544580i
\(627\) 4.65286e6 4.65286e6i 0.472663 0.472663i
\(628\) −2.54612e6 1.01983e7i −0.257620 1.03188i
\(629\) −6.37660e6 + 6.37660e6i −0.642633 + 0.642633i
\(630\) −4.01643e6 + 2.88055e6i −0.403170 + 0.289151i
\(631\) 5.32186e6i 0.532096i −0.963960 0.266048i \(-0.914282\pi\)
0.963960 0.266048i \(-0.0857179\pi\)
\(632\) −2.37422e6 61052.5i −0.236443 0.00608011i
\(633\) −1.62508e7 −1.61200
\(634\) 1.40847e7 + 3.90364e6i 1.39163 + 0.385697i
\(635\) 1.68204e6 + 1.56391e7i 0.165540 + 1.53913i
\(636\) −9.03120e6 + 1.50411e7i −0.885325 + 1.47448i
\(637\) −6.27097e6 + 6.27097e6i −0.612331 + 0.612331i
\(638\) 4.14817e6 + 7.32918e6i 0.403464 + 0.712859i
\(639\) −1.74039e7 −1.68614
\(640\) −5.59832e6 8.71969e6i −0.540266 0.841494i
\(641\) −1.44901e7 −1.39292 −0.696459 0.717596i \(-0.745242\pi\)
−0.696459 + 0.717596i \(0.745242\pi\)
\(642\) 6.09691e6 + 1.07723e7i 0.583811 + 1.03150i
\(643\) 2.96722e6 2.96722e6i 0.283024 0.283024i −0.551290 0.834314i \(-0.685864\pi\)
0.834314 + 0.551290i \(0.185864\pi\)
\(644\) 3.61909e6 6.02747e6i 0.343863 0.572691i
\(645\) −2.97246e6 + 319700.i −0.281331 + 0.0302582i
\(646\) 4.67447e6 + 1.29556e6i 0.440709 + 0.122145i
\(647\) 1.53868e6 0.144507 0.0722534 0.997386i \(-0.476981\pi\)
0.0722534 + 0.997386i \(0.476981\pi\)
\(648\) 7.06614e6 + 181705.i 0.661066 + 0.0169992i
\(649\) 4.80792e6i 0.448070i
\(650\) −1.09991e7 617532.i −1.02111 0.0573292i
\(651\) −5.88709e6 + 5.88709e6i −0.544438 + 0.544438i
\(652\) 4.34926e6 + 1.74207e7i 0.400679 + 1.60489i
\(653\) −1.52099e7 + 1.52099e7i −1.39586 + 1.39586i −0.584391 + 0.811472i \(0.698666\pi\)
−0.811472 + 0.584391i \(0.801334\pi\)
\(654\) 4.67424e6 + 8.25867e6i 0.427333 + 0.755032i
\(655\) 7.14473e6 + 5.75709e6i 0.650702 + 0.524324i
\(656\) −7.20790e6 + 3.83831e6i −0.653957 + 0.348242i
\(657\) 5.92683e6i 0.535684i
\(658\) 3.82428e6 2.16447e6i 0.344338 0.194888i
\(659\) 5.18296e6 + 5.18296e6i 0.464905 + 0.464905i 0.900259 0.435354i \(-0.143377\pi\)
−0.435354 + 0.900259i \(0.643377\pi\)
\(660\) 1.15531e7 + 5.34887e6i 1.03238 + 0.477971i
\(661\) 4.23666e6 4.23666e6i 0.377155 0.377155i −0.492920 0.870075i \(-0.664070\pi\)
0.870075 + 0.492920i \(0.164070\pi\)
\(662\) −1.20463e7 3.33869e6i −1.06834 0.296095i
\(663\) 1.35663e7 1.19861
\(664\) 1.10093e7 1.04573e7i 0.969039 0.920451i
\(665\) 2.04265e6 + 1.64593e6i 0.179118 + 0.144330i
\(666\) −1.63229e7 4.52399e6i −1.42598 0.395217i
\(667\) 1.50289e7 + 1.50289e7i 1.30801 + 1.30801i
\(668\) 3.63527e6 6.05441e6i 0.315207 0.524966i
\(669\) −1.44420e6 1.44420e6i −0.124756 0.124756i
\(670\) −1.75906e7 2.89704e6i −1.51389 0.249326i
\(671\) 1.34380e7 1.15220
\(672\) 1.49892e6 + 6.73618e6i 0.128043 + 0.575427i
\(673\) 4.45203e6i 0.378896i −0.981891 0.189448i \(-0.939330\pi\)
0.981891 0.189448i \(-0.0606699\pi\)
\(674\) 1.65388e7 9.36064e6i 1.40234 0.793699i
\(675\) −4.00798e6 2.57529e6i −0.338584 0.217554i
\(676\) 468164. + 281101.i 0.0394032 + 0.0236590i
\(677\) 5.48227e6 + 5.48227e6i 0.459715 + 0.459715i 0.898562 0.438847i \(-0.144613\pi\)
−0.438847 + 0.898562i \(0.644613\pi\)
\(678\) 2.90853e6 1.04942e7i 0.242996 0.876750i
\(679\) 5.49927e6i 0.457752i
\(680\) 763412. + 9.35401e6i 0.0633121 + 0.775756i
\(681\) 4.81764e6i 0.398077i
\(682\) 1.15512e7 + 3.20149e6i 0.950971 + 0.263567i
\(683\) 368264. + 368264.i 0.0302070 + 0.0302070i 0.722049 0.691842i \(-0.243201\pi\)
−0.691842 + 0.722049i \(0.743201\pi\)
\(684\) 2.20693e6 + 8.83970e6i 0.180363 + 0.722432i
\(685\) 2.05049e7 2.20538e6i 1.66967 0.179579i
\(686\) 4.38939e6 + 7.75538e6i 0.356118 + 0.629206i
\(687\) 1.73558e7i 1.40298i
\(688\) −680732. + 2.23158e6i −0.0548283 + 0.179739i
\(689\) 1.45561e7 1.16814
\(690\) 3.17033e7 + 5.22129e6i 2.53502 + 0.417499i
\(691\) −1.62468e7 1.62468e7i −1.29442 1.29442i −0.932027 0.362388i \(-0.881962\pi\)
−0.362388 0.932027i \(-0.618038\pi\)
\(692\) −1.24080e6 4.96993e6i −0.0985001 0.394535i
\(693\) −3.35105e6 3.35105e6i −0.265062 0.265062i
\(694\) −401592. + 1.44898e6i −0.0316509 + 0.114199i
\(695\) −5.10537e6 + 6.33593e6i −0.400927 + 0.497563i
\(696\) −2.08554e7 536293.i −1.63191 0.0419642i
\(697\) 7.39619e6 0.576669
\(698\) −4.14827e6 + 1.49673e7i −0.322276 + 1.16280i
\(699\) −3.88308e6 + 3.88308e6i −0.300596 + 0.300596i
\(700\) −1.62764e6 + 4.80742e6i −0.125549 + 0.370823i
\(701\) −8.23284e6 8.23284e6i −0.632783 0.632783i 0.315982 0.948765i \(-0.397666\pi\)
−0.948765 + 0.315982i \(0.897666\pi\)
\(702\) 2.64713e6 + 4.67707e6i 0.202737 + 0.358205i
\(703\) 8.98989e6i 0.686066i
\(704\) 7.37726e6 6.65511e6i 0.561001 0.506085i
\(705\) 1.56377e7 + 1.26005e7i 1.18495 + 0.954809i
\(706\) −1.63355e7 + 9.24555e6i −1.23345 + 0.698105i
\(707\) −5.30449e6 + 5.30449e6i −0.399112 + 0.399112i
\(708\) −1.02110e7 6.13105e6i −0.765573 0.459676i
\(709\) 705617. 705617.i 0.0527173 0.0527173i −0.680257 0.732974i \(-0.738132\pi\)
0.732974 + 0.680257i \(0.238132\pi\)
\(710\) −1.45229e7 + 1.04157e7i −1.08120 + 0.775428i
\(711\) 4.04033e6i 0.299739i
\(712\) −47821.3 + 1.85968e6i −0.00353526 + 0.137479i
\(713\) 3.02513e7 2.22854
\(714\) 1.66936e6 6.02319e6i 0.122547 0.442161i
\(715\) −1.12956e6 1.05023e7i −0.0826315 0.768279i
\(716\) 9.36486e6 2.33804e6i 0.682682 0.170439i
\(717\) 1.94106e7 1.94106e7i 1.41007 1.41007i
\(718\) 1.33239e7 7.54106e6i 0.964541 0.545911i
\(719\) 1.57832e7 1.13861 0.569303 0.822128i \(-0.307213\pi\)
0.569303 + 0.822128i \(0.307213\pi\)
\(720\) −1.45841e7 + 9.90198e6i −1.04845 + 0.711854i
\(721\) −1.71420e6 −0.122807
\(722\) −7.98158e6 + 4.51742e6i −0.569831 + 0.322513i
\(723\) 2.74489e7 2.74489e7i 1.95290 1.95290i
\(724\) −3.26995e6 1.30975e7i −0.231844 0.928632i
\(725\) −1.29087e7 8.29437e6i −0.912089 0.586055i
\(726\) 2.45111e6 8.84379e6i 0.172592 0.622726i
\(727\) 4.34688e6 0.305029 0.152515 0.988301i \(-0.451263\pi\)
0.152515 + 0.988301i \(0.451263\pi\)
\(728\) 4.15132e6 3.94317e6i 0.290307 0.275751i
\(729\) 2.07202e7i 1.44402i
\(730\) 3.54703e6 + 4.94571e6i 0.246353 + 0.343496i
\(731\) 1.49420e6 1.49420e6i 0.103422 0.103422i
\(732\) −1.71362e7 + 2.85396e7i −1.18205 + 1.96866i
\(733\) −694604. + 694604.i −0.0477505 + 0.0477505i −0.730579 0.682828i \(-0.760750\pi\)
0.682828 + 0.730579i \(0.260750\pi\)
\(734\) 56772.1 32131.9i 0.00388951 0.00220138i
\(735\) −1.17161e7 + 1.45401e7i −0.799955 + 0.992770i
\(736\) 1.34560e7 2.11583e7i 0.915634 1.43975i
\(737\) 1.70936e7i 1.15922i
\(738\) 6.84276e6 + 1.20901e7i 0.462477 + 0.817127i
\(739\) −1.39756e7 1.39756e7i −0.941367 0.941367i 0.0570069 0.998374i \(-0.481844\pi\)
−0.998374 + 0.0570069i \(0.981844\pi\)
\(740\) −1.63283e7 + 5.99367e6i −1.09613 + 0.402359i
\(741\) 9.56303e6 9.56303e6i 0.639809 0.639809i
\(742\) 1.79115e6 6.46263e6i 0.119433 0.430923i
\(743\) 1.76164e7 1.17070 0.585348 0.810782i \(-0.300958\pi\)
0.585348 + 0.810782i \(0.300958\pi\)
\(744\) −2.15294e7 + 2.04499e7i −1.42593 + 1.35444i
\(745\) 9.04880e6 1.12298e7i 0.597311 0.741282i
\(746\) −2.10250e6 + 7.58599e6i −0.138321 + 0.499074i
\(747\) −1.82655e7 1.82655e7i −1.19765 1.19765i
\(748\) −8.73072e6 + 2.17972e6i −0.570553 + 0.142445i
\(749\) −3.34566e6 3.34566e6i −0.217910 0.217910i
\(750\) −2.31654e7 + 1.18379e6i −1.50379 + 0.0768459i
\(751\) 2.14456e7 1.38752 0.693759 0.720207i \(-0.255953\pi\)
0.693759 + 0.720207i \(0.255953\pi\)
\(752\) 1.38334e7 7.36650e6i 0.892041 0.475025i
\(753\) 1.24021e7i 0.797088i
\(754\) 8.52574e6 + 1.50637e7i 0.546140 + 0.964945i
\(755\) 2.26873e6 + 2.10939e7i 0.144849 + 1.34676i
\(756\) 2.40227e6 599754.i 0.152868 0.0381653i
\(757\) −1.76930e7 1.76930e7i −1.12218 1.12218i −0.991414 0.130764i \(-0.958257\pi\)
−0.130764 0.991414i \(1.45826\pi\)
\(758\) −4.42716e6 1.22701e6i −0.279867 0.0775667i
\(759\) 3.08075e7i 1.94112i
\(760\) 7.13189e6 + 6.05561e6i 0.447889 + 0.380298i
\(761\) 1.08792e7i