Properties

Label 80.6.l.a.21.16
Level $80$
Weight $6$
Character 80.21
Analytic conductor $12.831$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 21.16
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.24441 + 5.19255i) q^{2} +(1.65480 - 1.65480i) q^{3} +(-21.9252 - 23.3084i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(4.87860 + 12.3067i) q^{6} -111.270i q^{7} +(170.240 - 61.5343i) q^{8} +237.523i q^{9} +O(q^{10})\) \(q+(-2.24441 + 5.19255i) q^{2} +(1.65480 - 1.65480i) q^{3} +(-21.9252 - 23.3084i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(4.87860 + 12.3067i) q^{6} -111.270i q^{7} +(170.240 - 61.5343i) q^{8} +237.523i q^{9} +(131.468 - 52.1163i) q^{10} +(263.604 + 263.604i) q^{11} +(-74.8529 - 2.28894i) q^{12} +(-480.266 + 480.266i) q^{13} +(577.774 + 249.735i) q^{14} -58.5062 q^{15} +(-62.5675 + 1022.09i) q^{16} +1411.28 q^{17} +(-1233.35 - 533.100i) q^{18} +(555.890 - 555.890i) q^{19} +(-24.4519 + 799.626i) q^{20} +(-184.130 - 184.130i) q^{21} +(-1960.41 + 777.142i) q^{22} +3849.49i q^{23} +(179.886 - 383.541i) q^{24} +625.000i q^{25} +(-1415.89 - 3571.72i) q^{26} +(795.172 + 795.172i) q^{27} +(-2593.53 + 2439.62i) q^{28} +(-2779.61 + 2779.61i) q^{29} +(131.312 - 303.797i) q^{30} -5160.34 q^{31} +(-5166.81 - 2618.87i) q^{32} +872.426 q^{33} +(-3167.49 + 7328.14i) q^{34} +(-1966.99 + 1966.99i) q^{35} +(5536.30 - 5207.75i) q^{36} +(7576.66 + 7576.66i) q^{37} +(1638.84 + 4134.14i) q^{38} +1589.49i q^{39} +(-4097.22 - 1921.66i) q^{40} -3026.02i q^{41} +(1369.37 - 542.841i) q^{42} +(10147.2 + 10147.2i) q^{43} +(364.619 - 11923.8i) q^{44} +(4198.86 - 4198.86i) q^{45} +(-19988.7 - 8639.83i) q^{46} +25138.6 q^{47} +(1587.82 + 1794.89i) q^{48} +4426.04 q^{49} +(-3245.35 - 1402.76i) q^{50} +(2335.39 - 2335.39i) q^{51} +(21724.2 + 664.307i) q^{52} +(-21380.6 - 21380.6i) q^{53} +(-5913.67 + 2344.28i) q^{54} -9319.81i q^{55} +(-6846.90 - 18942.5i) q^{56} -1839.78i q^{57} +(-8194.69 - 20671.9i) q^{58} +(24893.6 + 24893.6i) q^{59} +(1282.76 + 1363.69i) q^{60} +(5605.68 - 5605.68i) q^{61} +(11581.9 - 26795.3i) q^{62} +26429.2 q^{63} +(25195.1 - 20951.1i) q^{64} +16980.0 q^{65} +(-1958.08 + 4530.12i) q^{66} +(-19174.5 + 19174.5i) q^{67} +(-30942.6 - 32894.7i) q^{68} +(6370.15 + 6370.15i) q^{69} +(-5798.97 - 14628.4i) q^{70} +17973.8i q^{71} +(14615.8 + 40435.9i) q^{72} +14533.0i q^{73} +(-56347.4 + 22337.1i) q^{74} +(1034.25 + 1034.25i) q^{75} +(-25145.0 - 768.911i) q^{76} +(29331.1 - 29331.1i) q^{77} +(-8253.53 - 3567.47i) q^{78} -56320.7 q^{79} +(19174.2 - 16962.1i) q^{80} -55086.4 q^{81} +(15712.8 + 6791.64i) q^{82} +(-5922.95 + 5922.95i) q^{83} +(-254.689 + 8328.87i) q^{84} +(-24948.1 - 24948.1i) q^{85} +(-75464.1 + 29915.3i) q^{86} +9199.43i q^{87} +(61096.5 + 28655.2i) q^{88} -124737. i q^{89} +(12378.8 + 31226.8i) q^{90} +(53439.1 + 53439.1i) q^{91} +(89725.6 - 84400.9i) q^{92} +(-8539.35 + 8539.35i) q^{93} +(-56421.3 + 130533. i) q^{94} -19653.7 q^{95} +(-12883.8 + 4216.35i) q^{96} +50538.0 q^{97} +(-9933.86 + 22982.5i) q^{98} +(-62612.1 + 62612.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 44q^{4} - 228q^{6} + O(q^{10}) \) \( 80q + 44q^{4} - 228q^{6} - 100q^{10} + 1208q^{11} + 1572q^{12} - 916q^{14} - 1800q^{15} + 2960q^{16} + 6400q^{18} + 2360q^{19} - 3800q^{20} - 3260q^{22} - 13880q^{24} - 880q^{26} - 7464q^{27} + 18764q^{28} - 8144q^{29} + 22400q^{32} - 7440q^{34} + 27948q^{36} + 21296q^{37} - 34820q^{38} - 7260q^{42} + 32072q^{43} + 64392q^{44} + 149268q^{46} - 88360q^{47} + 94040q^{48} - 192080q^{49} + 2500q^{50} - 5920q^{51} - 55016q^{52} - 49456q^{53} - 250784q^{54} - 250352q^{56} - 115988q^{58} + 44984q^{59} + 7700q^{60} + 48080q^{61} + 444328q^{62} + 158760q^{63} + 218096q^{64} + 253440q^{66} + 61160q^{67} - 119792q^{68} - 22320q^{69} - 66200q^{70} - 629480q^{72} - 156664q^{74} + 223232q^{76} - 14896q^{77} + 516176q^{78} + 177680q^{79} + 48400q^{80} - 524880q^{81} + 254476q^{82} - 329240q^{83} - 173248q^{84} + 132400q^{85} - 765740q^{86} - 390400q^{88} + 71100q^{90} + 364832q^{91} + 333532q^{92} - 362352q^{93} + 537844q^{94} + 288800q^{95} + 1151112q^{96} + 52420q^{98} + 659000q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.24441 + 5.19255i −0.396759 + 0.917923i
\(3\) 1.65480 1.65480i 0.106156 0.106156i −0.652034 0.758190i \(-0.726084\pi\)
0.758190 + 0.652034i \(0.226084\pi\)
\(4\) −21.9252 23.3084i −0.685164 0.728389i
\(5\) −17.6777 17.6777i −0.316228 0.316228i
\(6\) 4.87860 + 12.3067i 0.0553245 + 0.139561i
\(7\) 111.270i 0.858286i −0.903237 0.429143i \(-0.858816\pi\)
0.903237 0.429143i \(-0.141184\pi\)
\(8\) 170.240 61.5343i 0.940450 0.339932i
\(9\) 237.523i 0.977462i
\(10\) 131.468 52.1163i 0.415739 0.164806i
\(11\) 263.604 + 263.604i 0.656856 + 0.656856i 0.954635 0.297779i \(-0.0962458\pi\)
−0.297779 + 0.954635i \(0.596246\pi\)
\(12\) −74.8529 2.28894i −0.150057 0.00458860i
\(13\) −480.266 + 480.266i −0.788176 + 0.788176i −0.981195 0.193019i \(-0.938172\pi\)
0.193019 + 0.981195i \(0.438172\pi\)
\(14\) 577.774 + 249.735i 0.787840 + 0.340533i
\(15\) −58.5062 −0.0671388
\(16\) −62.5675 + 1022.09i −0.0611011 + 0.998132i
\(17\) 1411.28 1.18438 0.592189 0.805799i \(-0.298264\pi\)
0.592189 + 0.805799i \(0.298264\pi\)
\(18\) −1233.35 533.100i −0.897234 0.387817i
\(19\) 555.890 555.890i 0.353269 0.353269i −0.508056 0.861324i \(-0.669636\pi\)
0.861324 + 0.508056i \(0.169636\pi\)
\(20\) −24.4519 + 799.626i −0.0136690 + 0.447005i
\(21\) −184.130 184.130i −0.0911120 0.0911120i
\(22\) −1960.41 + 777.142i −0.863557 + 0.342329i
\(23\) 3849.49i 1.51734i 0.651474 + 0.758671i \(0.274151\pi\)
−0.651474 + 0.758671i \(0.725849\pi\)
\(24\) 179.886 383.541i 0.0637484 0.135920i
\(25\) 625.000i 0.200000i
\(26\) −1415.89 3571.72i −0.410768 1.03620i
\(27\) 795.172 + 795.172i 0.209919 + 0.209919i
\(28\) −2593.53 + 2439.62i −0.625166 + 0.588066i
\(29\) −2779.61 + 2779.61i −0.613747 + 0.613747i −0.943920 0.330174i \(-0.892893\pi\)
0.330174 + 0.943920i \(0.392893\pi\)
\(30\) 131.312 303.797i 0.0266380 0.0616282i
\(31\) −5160.34 −0.964437 −0.482219 0.876051i \(-0.660169\pi\)
−0.482219 + 0.876051i \(0.660169\pi\)
\(32\) −5166.81 2618.87i −0.891965 0.452104i
\(33\) 872.426 0.139458
\(34\) −3167.49 + 7328.14i −0.469913 + 1.08717i
\(35\) −1966.99 + 1966.99i −0.271414 + 0.271414i
\(36\) 5536.30 5207.75i 0.711973 0.669722i
\(37\) 7576.66 + 7576.66i 0.909858 + 0.909858i 0.996260 0.0864025i \(-0.0275371\pi\)
−0.0864025 + 0.996260i \(0.527537\pi\)
\(38\) 1638.84 + 4134.14i 0.184111 + 0.464436i
\(39\) 1589.49i 0.167339i
\(40\) −4097.22 1921.66i −0.404892 0.189900i
\(41\) 3026.02i 0.281134i −0.990071 0.140567i \(-0.955108\pi\)
0.990071 0.140567i \(-0.0448925\pi\)
\(42\) 1369.37 542.841i 0.119783 0.0474842i
\(43\) 10147.2 + 10147.2i 0.836900 + 0.836900i 0.988450 0.151549i \(-0.0484263\pi\)
−0.151549 + 0.988450i \(0.548426\pi\)
\(44\) 364.619 11923.8i 0.0283927 0.928501i
\(45\) 4198.86 4198.86i 0.309101 0.309101i
\(46\) −19988.7 8639.83i −1.39280 0.602020i
\(47\) 25138.6 1.65995 0.829977 0.557798i \(-0.188353\pi\)
0.829977 + 0.557798i \(0.188353\pi\)
\(48\) 1587.82 + 1794.89i 0.0994712 + 0.112444i
\(49\) 4426.04 0.263345
\(50\) −3245.35 1402.76i −0.183585 0.0793519i
\(51\) 2335.39 2335.39i 0.125729 0.125729i
\(52\) 21724.2 + 664.307i 1.11413 + 0.0340691i
\(53\) −21380.6 21380.6i −1.04552 1.04552i −0.998914 0.0466020i \(-0.985161\pi\)
−0.0466020 0.998914i \(-0.514839\pi\)
\(54\) −5913.67 + 2344.28i −0.275977 + 0.109402i
\(55\) 9319.81i 0.415432i
\(56\) −6846.90 18942.5i −0.291759 0.807175i
\(57\) 1839.78i 0.0750030i
\(58\) −8194.69 20671.9i −0.319862 0.806882i
\(59\) 24893.6 + 24893.6i 0.931016 + 0.931016i 0.997769 0.0667538i \(-0.0212642\pi\)
−0.0667538 + 0.997769i \(0.521264\pi\)
\(60\) 1282.76 + 1363.69i 0.0460011 + 0.0489032i
\(61\) 5605.68 5605.68i 0.192887 0.192887i −0.604055 0.796943i \(-0.706449\pi\)
0.796943 + 0.604055i \(0.206449\pi\)
\(62\) 11581.9 26795.3i 0.382650 0.885279i
\(63\) 26429.2 0.838942
\(64\) 25195.1 20951.1i 0.768892 0.639378i
\(65\) 16980.0 0.498486
\(66\) −1958.08 + 4530.12i −0.0553313 + 0.128012i
\(67\) −19174.5 + 19174.5i −0.521841 + 0.521841i −0.918127 0.396286i \(-0.870299\pi\)
0.396286 + 0.918127i \(0.370299\pi\)
\(68\) −30942.6 32894.7i −0.811493 0.862688i
\(69\) 6370.15 + 6370.15i 0.161075 + 0.161075i
\(70\) −5798.97 14628.4i −0.141451 0.356823i
\(71\) 17973.8i 0.423151i 0.977362 + 0.211575i \(0.0678594\pi\)
−0.977362 + 0.211575i \(0.932141\pi\)
\(72\) 14615.8 + 40435.9i 0.332271 + 0.919254i
\(73\) 14533.0i 0.319189i 0.987183 + 0.159595i \(0.0510187\pi\)
−0.987183 + 0.159595i \(0.948981\pi\)
\(74\) −56347.4 + 22337.1i −1.19617 + 0.474184i
\(75\) 1034.25 + 1034.25i 0.0212312 + 0.0212312i
\(76\) −25145.0 768.911i −0.499364 0.0152701i
\(77\) 29331.1 29331.1i 0.563770 0.563770i
\(78\) −8253.53 3567.47i −0.153604 0.0663933i
\(79\) −56320.7 −1.01531 −0.507657 0.861559i \(-0.669488\pi\)
−0.507657 + 0.861559i \(0.669488\pi\)
\(80\) 19174.2 16962.1i 0.334959 0.296315i
\(81\) −55086.4 −0.932894
\(82\) 15712.8 + 6791.64i 0.258059 + 0.111542i
\(83\) −5922.95 + 5922.95i −0.0943720 + 0.0943720i −0.752717 0.658345i \(-0.771257\pi\)
0.658345 + 0.752717i \(0.271257\pi\)
\(84\) −254.689 + 8328.87i −0.00393833 + 0.128792i
\(85\) −24948.1 24948.1i −0.374533 0.374533i
\(86\) −75464.1 + 29915.3i −1.10026 + 0.436162i
\(87\) 9199.43i 0.130305i
\(88\) 61096.5 + 28655.2i 0.841027 + 0.394454i
\(89\) 124737.i 1.66924i −0.550827 0.834620i \(-0.685687\pi\)
0.550827 0.834620i \(-0.314313\pi\)
\(90\) 12378.8 + 31226.8i 0.161092 + 0.406369i
\(91\) 53439.1 + 53439.1i 0.676481 + 0.676481i
\(92\) 89725.6 84400.9i 1.10521 1.03963i
\(93\) −8539.35 + 8539.35i −0.102381 + 0.102381i
\(94\) −56421.3 + 130533.i −0.658603 + 1.52371i
\(95\) −19653.7 −0.223427
\(96\) −12883.8 + 4216.35i −0.142681 + 0.0466938i
\(97\) 50538.0 0.545367 0.272684 0.962104i \(-0.412089\pi\)
0.272684 + 0.962104i \(0.412089\pi\)
\(98\) −9933.86 + 22982.5i −0.104485 + 0.241731i
\(99\) −62612.1 + 62612.1i −0.642052 + 0.642052i
\(100\) 14567.8 13703.3i 0.145678 0.137033i
\(101\) −73443.7 73443.7i −0.716392 0.716392i 0.251472 0.967865i \(-0.419085\pi\)
−0.967865 + 0.251472i \(0.919085\pi\)
\(102\) 6885.07 + 17368.2i 0.0655251 + 0.165293i
\(103\) 100092.i 0.929617i 0.885411 + 0.464809i \(0.153877\pi\)
−0.885411 + 0.464809i \(0.846123\pi\)
\(104\) −52207.5 + 111313.i −0.473314 + 1.00917i
\(105\) 6509.97i 0.0576243i
\(106\) 159007. 63033.1i 1.37452 0.544884i
\(107\) 43501.2 + 43501.2i 0.367318 + 0.367318i 0.866498 0.499180i \(-0.166365\pi\)
−0.499180 + 0.866498i \(0.666365\pi\)
\(108\) 1099.89 35968.6i 0.00907379 0.296732i
\(109\) −118270. + 118270.i −0.953475 + 0.953475i −0.998965 0.0454893i \(-0.985515\pi\)
0.0454893 + 0.998965i \(0.485515\pi\)
\(110\) 48393.6 + 20917.5i 0.381335 + 0.164827i
\(111\) 25075.8 0.193173
\(112\) 113727. + 6961.87i 0.856682 + 0.0524422i
\(113\) −33752.4 −0.248661 −0.124331 0.992241i \(-0.539678\pi\)
−0.124331 + 0.992241i \(0.539678\pi\)
\(114\) 9553.16 + 4129.22i 0.0688470 + 0.0297582i
\(115\) 68050.0 68050.0i 0.479826 0.479826i
\(116\) 125732. + 3844.78i 0.867563 + 0.0265293i
\(117\) −114074. 114074.i −0.770412 0.770412i
\(118\) −185133. + 73389.8i −1.22399 + 0.485211i
\(119\) 157033.i 1.01654i
\(120\) −9960.07 + 3600.14i −0.0631407 + 0.0228226i
\(121\) 22077.0i 0.137081i
\(122\) 16526.4 + 41689.3i 0.100526 + 0.253586i
\(123\) −5007.48 5007.48i −0.0298440 0.0298440i
\(124\) 113142. + 120279.i 0.660797 + 0.702485i
\(125\) 11048.5 11048.5i 0.0632456 0.0632456i
\(126\) −59317.9 + 137235.i −0.332858 + 0.770084i
\(127\) 254716. 1.40135 0.700675 0.713481i \(-0.252883\pi\)
0.700675 + 0.713481i \(0.252883\pi\)
\(128\) 52241.9 + 177850.i 0.281834 + 0.959463i
\(129\) 33583.2 0.177684
\(130\) −38110.0 + 88169.4i −0.197779 + 0.457572i
\(131\) −241006. + 241006.i −1.22701 + 1.22701i −0.261926 + 0.965088i \(0.584358\pi\)
−0.965088 + 0.261926i \(0.915642\pi\)
\(132\) −19128.2 20334.9i −0.0955517 0.101580i
\(133\) −61853.8 61853.8i −0.303206 0.303206i
\(134\) −56529.3 142600.i −0.271964 0.686055i
\(135\) 28113.6i 0.132764i
\(136\) 240256. 86842.0i 1.11385 0.402608i
\(137\) 293678.i 1.33681i −0.743798 0.668405i \(-0.766977\pi\)
0.743798 0.668405i \(-0.233023\pi\)
\(138\) −47374.6 + 18780.1i −0.211762 + 0.0839461i
\(139\) −30954.7 30954.7i −0.135891 0.135891i 0.635890 0.771780i \(-0.280633\pi\)
−0.771780 + 0.635890i \(0.780633\pi\)
\(140\) 88974.2 + 2720.75i 0.383658 + 0.0117319i
\(141\) 41599.4 41599.4i 0.176214 0.176214i
\(142\) −93330.2 40340.7i −0.388420 0.167889i
\(143\) −253200. −1.03544
\(144\) −242769. 14861.2i −0.975636 0.0597240i
\(145\) 98274.1 0.388167
\(146\) −75463.4 32618.0i −0.292991 0.126641i
\(147\) 7324.24 7324.24i 0.0279556 0.0279556i
\(148\) 10480.1 342720.i 0.0393288 1.28613i
\(149\) −382188. 382188.i −1.41030 1.41030i −0.757724 0.652575i \(-0.773689\pi\)
−0.652575 0.757724i \(-0.726311\pi\)
\(150\) −7691.70 + 3049.13i −0.0279122 + 0.0110649i
\(151\) 135907.i 0.485064i −0.970143 0.242532i \(-0.922022\pi\)
0.970143 0.242532i \(-0.0779779\pi\)
\(152\) 60428.3 128841.i 0.212144 0.452319i
\(153\) 335212.i 1.15769i
\(154\) 86472.4 + 218135.i 0.293816 + 0.741179i
\(155\) 91222.7 + 91222.7i 0.304982 + 0.304982i
\(156\) 37048.6 34850.0i 0.121888 0.114655i
\(157\) −100753. + 100753.i −0.326219 + 0.326219i −0.851147 0.524928i \(-0.824092\pi\)
0.524928 + 0.851147i \(0.324092\pi\)
\(158\) 126407. 292448.i 0.402835 0.931979i
\(159\) −70761.5 −0.221975
\(160\) 45041.8 + 137633.i 0.139096 + 0.425032i
\(161\) 428332. 1.30231
\(162\) 123637. 286039.i 0.370134 0.856324i
\(163\) −16864.2 + 16864.2i −0.0497161 + 0.0497161i −0.731528 0.681812i \(-0.761192\pi\)
0.681812 + 0.731528i \(0.261192\pi\)
\(164\) −70531.9 + 66346.3i −0.204775 + 0.192623i
\(165\) −15422.5 15422.5i −0.0441005 0.0441005i
\(166\) −17461.7 44048.8i −0.0491832 0.124069i
\(167\) 538886.i 1.49522i −0.664136 0.747612i \(-0.731201\pi\)
0.664136 0.747612i \(-0.268799\pi\)
\(168\) −42676.5 20015.9i −0.116658 0.0547144i
\(169\) 90017.5i 0.242443i
\(170\) 185538. 73550.7i 0.492392 0.195193i
\(171\) 132037. + 132037.i 0.345307 + 0.345307i
\(172\) 14035.6 458994.i 0.0361752 1.18300i
\(173\) −329401. + 329401.i −0.836776 + 0.836776i −0.988433 0.151657i \(-0.951539\pi\)
0.151657 + 0.988433i \(0.451539\pi\)
\(174\) −47768.5 20647.3i −0.119610 0.0516999i
\(175\) 69543.6 0.171657
\(176\) −285919. + 252933.i −0.695763 + 0.615494i
\(177\) 82388.0 0.197665
\(178\) 647701. + 279960.i 1.53223 + 0.662287i
\(179\) −229.262 + 229.262i −0.000534809 + 0.000534809i −0.707374 0.706839i \(-0.750120\pi\)
0.706839 + 0.707374i \(0.250120\pi\)
\(180\) −189930. 5807.89i −0.436930 0.0133609i
\(181\) 326773. + 326773.i 0.741395 + 0.741395i 0.972846 0.231451i \(-0.0743474\pi\)
−0.231451 + 0.972846i \(0.574347\pi\)
\(182\) −397424. + 157546.i −0.889357 + 0.352557i
\(183\) 18552.6i 0.0409522i
\(184\) 236875. + 655335.i 0.515793 + 1.42698i
\(185\) 267875.i 0.575445i
\(186\) −25175.2 63506.9i −0.0533570 0.134598i
\(187\) 372019. + 372019.i 0.777966 + 0.777966i
\(188\) −551169. 585941.i −1.13734 1.20909i
\(189\) 88478.6 88478.6i 0.180171 0.180171i
\(190\) 44111.0 102053.i 0.0886467 0.205088i
\(191\) 262656. 0.520960 0.260480 0.965479i \(-0.416119\pi\)
0.260480 + 0.965479i \(0.416119\pi\)
\(192\) 7022.85 76363.0i 0.0137487 0.149496i
\(193\) 741418. 1.43275 0.716374 0.697717i \(-0.245801\pi\)
0.716374 + 0.697717i \(0.245801\pi\)
\(194\) −113428. + 262421.i −0.216380 + 0.500605i
\(195\) 28098.5 28098.5i 0.0529172 0.0529172i
\(196\) −97042.1 103164.i −0.180435 0.191818i
\(197\) 443287. + 443287.i 0.813803 + 0.813803i 0.985202 0.171399i \(-0.0548286\pi\)
−0.171399 + 0.985202i \(0.554829\pi\)
\(198\) −184589. 465644.i −0.334614 0.844094i
\(199\) 578894.i 1.03625i −0.855303 0.518127i \(-0.826629\pi\)
0.855303 0.518127i \(-0.173371\pi\)
\(200\) 38458.9 + 106400.i 0.0679864 + 0.188090i
\(201\) 63460.3i 0.110793i
\(202\) 546198. 216523.i 0.941828 0.373357i
\(203\) 309287. + 309287.i 0.526770 + 0.526770i
\(204\) −105638. 3230.33i −0.177724 0.00543465i
\(205\) −53493.1 + 53493.1i −0.0889023 + 0.0889023i
\(206\) −519731. 224646.i −0.853317 0.368835i
\(207\) −914343. −1.48314
\(208\) −460824. 520922.i −0.738545 0.834862i
\(209\) 293070. 0.464093
\(210\) −33803.4 14611.0i −0.0528946 0.0228630i
\(211\) −525264. + 525264.i −0.812215 + 0.812215i −0.984966 0.172750i \(-0.944735\pi\)
0.172750 + 0.984966i \(0.444735\pi\)
\(212\) −29573.8 + 967124.i −0.0451926 + 1.47789i
\(213\) 29743.2 + 29743.2i 0.0449199 + 0.0449199i
\(214\) −323517. + 128248.i −0.482906 + 0.191433i
\(215\) 358757.i 0.529302i
\(216\) 184300. + 86439.5i 0.268777 + 0.126060i
\(217\) 574189.i 0.827763i
\(218\) −348678. 879572.i −0.496916 1.25352i
\(219\) 24049.3 + 24049.3i 0.0338838 + 0.0338838i
\(220\) −217230. + 204339.i −0.302596 + 0.284639i
\(221\) −677789. + 677789.i −0.933499 + 0.933499i
\(222\) −56280.4 + 130207.i −0.0766434 + 0.177318i
\(223\) 571278. 0.769282 0.384641 0.923066i \(-0.374325\pi\)
0.384641 + 0.923066i \(0.374325\pi\)
\(224\) −291401. + 574910.i −0.388035 + 0.765561i
\(225\) −148452. −0.195492
\(226\) 75754.1 175261.i 0.0986587 0.228252i
\(227\) −263502. + 263502.i −0.339406 + 0.339406i −0.856144 0.516738i \(-0.827146\pi\)
0.516738 + 0.856144i \(0.327146\pi\)
\(228\) −42882.4 + 40337.6i −0.0546314 + 0.0513894i
\(229\) −92037.0 92037.0i −0.115978 0.115978i 0.646736 0.762714i \(-0.276133\pi\)
−0.762714 + 0.646736i \(0.776133\pi\)
\(230\) 200621. + 506085.i 0.250067 + 0.630818i
\(231\) 97074.6i 0.119695i
\(232\) −302159. + 644241.i −0.368566 + 0.785830i
\(233\) 1.40826e6i 1.69939i 0.527271 + 0.849697i \(0.323215\pi\)
−0.527271 + 0.849697i \(0.676785\pi\)
\(234\) 848367. 336307.i 1.01285 0.401510i
\(235\) −444391. 444391.i −0.524924 0.524924i
\(236\) 34432.9 1.12603e6i 0.0402433 1.31604i
\(237\) −93199.7 + 93199.7i −0.107781 + 0.107781i
\(238\) 815401. + 352446.i 0.933101 + 0.403320i
\(239\) 731934. 0.828852 0.414426 0.910083i \(-0.363982\pi\)
0.414426 + 0.910083i \(0.363982\pi\)
\(240\) 3660.59 59798.4i 0.00410226 0.0670134i
\(241\) 528564. 0.586212 0.293106 0.956080i \(-0.405311\pi\)
0.293106 + 0.956080i \(0.405311\pi\)
\(242\) 114636. + 49549.8i 0.125829 + 0.0543880i
\(243\) −284384. + 284384.i −0.308951 + 0.308951i
\(244\) −253566. 7753.82i −0.272657 0.00833760i
\(245\) −78242.1 78242.1i −0.0832771 0.0832771i
\(246\) 37240.5 14762.8i 0.0392353 0.0155536i
\(247\) 533950.i 0.556876i
\(248\) −878494. + 317538.i −0.907005 + 0.327843i
\(249\) 19602.7i 0.0200363i
\(250\) 32572.7 + 82167.6i 0.0329612 + 0.0831478i
\(251\) −59639.9 59639.9i −0.0597520 0.0597520i 0.676599 0.736351i \(-0.263453\pi\)
−0.736351 + 0.676599i \(0.763453\pi\)
\(252\) −579466. 616022.i −0.574813 0.611076i
\(253\) −1.01474e6 + 1.01474e6i −0.996675 + 0.996675i
\(254\) −571687. + 1.32262e6i −0.555999 + 1.28633i
\(255\) −82568.6 −0.0795178
\(256\) −1.04075e6 127899.i −0.992533 0.121974i
\(257\) 1.13847e6 1.07520 0.537600 0.843200i \(-0.319331\pi\)
0.537600 + 0.843200i \(0.319331\pi\)
\(258\) −75374.4 + 174382.i −0.0704977 + 0.163100i
\(259\) 843053. 843053.i 0.780918 0.780918i
\(260\) −372290. 395777.i −0.341545 0.363092i
\(261\) −660222. 660222.i −0.599914 0.599914i
\(262\) −710520. 1.79235e6i −0.639474 1.61313i
\(263\) 1.24414e6i 1.10912i −0.832143 0.554562i \(-0.812886\pi\)
0.832143 0.554562i \(-0.187114\pi\)
\(264\) 148521. 53684.1i 0.131153 0.0474063i
\(265\) 755919.i 0.661242i
\(266\) 460004. 182354.i 0.398619 0.158020i
\(267\) −206415. 206415.i −0.177199 0.177199i
\(268\) 867335. + 26522.3i 0.737649 + 0.0225567i
\(269\) 989230. 989230.i 0.833521 0.833521i −0.154476 0.987997i \(-0.549369\pi\)
0.987997 + 0.154476i \(0.0493688\pi\)
\(270\) 145981. + 63098.4i 0.121867 + 0.0526756i
\(271\) −803591. −0.664679 −0.332339 0.943160i \(-0.607838\pi\)
−0.332339 + 0.943160i \(0.607838\pi\)
\(272\) −88300.2 + 1.44245e6i −0.0723668 + 1.18217i
\(273\) 176862. 0.143625
\(274\) 1.52494e6 + 659133.i 1.22709 + 0.530392i
\(275\) −164752. + 164752.i −0.131371 + 0.131371i
\(276\) 8811.23 288145.i 0.00696248 0.227687i
\(277\) −728210. 728210.i −0.570239 0.570239i 0.361956 0.932195i \(-0.382109\pi\)
−0.932195 + 0.361956i \(0.882109\pi\)
\(278\) 230209. 91258.9i 0.178653 0.0708212i
\(279\) 1.22570e6i 0.942700i
\(280\) −213822. + 455897.i −0.162989 + 0.347513i
\(281\) 942622.i 0.712151i −0.934457 0.356075i \(-0.884115\pi\)
0.934457 0.356075i \(-0.115885\pi\)
\(282\) 122641. + 309374.i 0.0918361 + 0.231665i
\(283\) 433822. + 433822.i 0.321992 + 0.321992i 0.849531 0.527539i \(-0.176885\pi\)
−0.527539 + 0.849531i \(0.676885\pi\)
\(284\) 418942. 394081.i 0.308218 0.289928i
\(285\) −32523.0 + 32523.0i −0.0237180 + 0.0237180i
\(286\) 568285. 1.31475e6i 0.410819 0.950451i
\(287\) −336705. −0.241293
\(288\) 622042. 1.22724e6i 0.441915 0.871862i
\(289\) 571851. 0.402753
\(290\) −220567. + 510294.i −0.154009 + 0.356308i
\(291\) 83630.6 83630.6i 0.0578939 0.0578939i
\(292\) 338742. 318640.i 0.232494 0.218697i
\(293\) 1.25809e6 + 1.25809e6i 0.856138 + 0.856138i 0.990881 0.134742i \(-0.0430207\pi\)
−0.134742 + 0.990881i \(0.543021\pi\)
\(294\) 21592.9 + 54470.1i 0.0145694 + 0.0367528i
\(295\) 880120.i 0.588826i
\(296\) 1.75607e6 + 823624.i 1.16497 + 0.546386i
\(297\) 419221.i 0.275773i
\(298\) 2.84232e6 1.12674e6i 1.85410 0.734996i
\(299\) −1.84878e6 1.84878e6i −1.19593 1.19593i
\(300\) 1430.59 46783.1i 0.000917721 0.0300114i
\(301\) 1.12907e6 1.12907e6i 0.718300 0.718300i
\(302\) 705703. + 305031.i 0.445251 + 0.192454i
\(303\) −243070. −0.152098
\(304\) 533387. + 602949.i 0.331024 + 0.374194i
\(305\) −198191. −0.121993
\(306\) −1.74060e6 752352.i −1.06267 0.459323i
\(307\) −256109. + 256109.i −0.155088 + 0.155088i −0.780386 0.625298i \(-0.784977\pi\)
0.625298 + 0.780386i \(0.284977\pi\)
\(308\) −1.32676e6 40571.0i −0.796919 0.0243691i
\(309\) 165632. + 165632.i 0.0986843 + 0.0986843i
\(310\) −678420. + 268938.i −0.400954 + 0.158945i
\(311\) 320420.i 0.187853i 0.995579 + 0.0939265i \(0.0299419\pi\)
−0.995579 + 0.0939265i \(0.970058\pi\)
\(312\) 97808.3 + 270595.i 0.0568839 + 0.157374i
\(313\) 554361.i 0.319839i −0.987130 0.159920i \(-0.948876\pi\)
0.987130 0.159920i \(-0.0511235\pi\)
\(314\) −297034. 749296.i −0.170013 0.428874i
\(315\) −467206. 467206.i −0.265297 0.265297i
\(316\) 1.23484e6 + 1.31275e6i 0.695656 + 0.739543i
\(317\) −185206. + 185206.i −0.103516 + 0.103516i −0.756968 0.653452i \(-0.773320\pi\)
0.653452 + 0.756968i \(0.273320\pi\)
\(318\) 158818. 367433.i 0.0880707 0.203756i
\(319\) −1.46543e6 −0.806286
\(320\) −815757. 75022.6i −0.445334 0.0409559i
\(321\) 143972. 0.0779859
\(322\) −961352. + 2.22413e6i −0.516705 + 1.19542i
\(323\) 784516. 784516.i 0.418404 0.418404i
\(324\) 1.20778e6 + 1.28398e6i 0.639185 + 0.679509i
\(325\) −300166. 300166.i −0.157635 0.157635i
\(326\) −49718.1 125418.i −0.0259102 0.0653608i
\(327\) 391429.i 0.202434i
\(328\) −186204. 515149.i −0.0955663 0.264392i
\(329\) 2.79716e6i 1.42472i
\(330\) 114696. 45467.6i 0.0579782 0.0229836i
\(331\) 1.69283e6 + 1.69283e6i 0.849265 + 0.849265i 0.990041 0.140777i \(-0.0449599\pi\)
−0.140777 + 0.990041i \(0.544960\pi\)
\(332\) 267917. + 8192.67i 0.133400 + 0.00407925i
\(333\) −1.79963e6 + 1.79963e6i −0.889351 + 0.889351i
\(334\) 2.79820e6 + 1.20948e6i 1.37250 + 0.593244i
\(335\) 677922. 0.330041
\(336\) 199717. 176676.i 0.0965088 0.0853747i
\(337\) −3.80713e6 −1.82609 −0.913047 0.407855i \(-0.866277\pi\)
−0.913047 + 0.407855i \(0.866277\pi\)
\(338\) 467421. + 202036.i 0.222544 + 0.0961917i
\(339\) −55853.6 + 55853.6i −0.0263968 + 0.0263968i
\(340\) −34508.4 + 1.12850e6i −0.0161893 + 0.529423i
\(341\) −1.36029e6 1.36029e6i −0.633496 0.633496i
\(342\) −981954. + 389264.i −0.453969 + 0.179961i
\(343\) 2.36260e6i 1.08431i
\(344\) 2.35185e6 + 1.10305e6i 1.07155 + 0.502574i
\(345\) 225219.i 0.101873i
\(346\) −971121. 2.44974e6i −0.436097 1.10009i
\(347\) 278710. + 278710.i 0.124259 + 0.124259i 0.766502 0.642242i \(-0.221996\pi\)
−0.642242 + 0.766502i \(0.721996\pi\)
\(348\) 214424. 201700.i 0.0949131 0.0892806i
\(349\) 177239. 177239.i 0.0778926 0.0778926i −0.667087 0.744980i \(-0.732459\pi\)
0.744980 + 0.667087i \(0.232459\pi\)
\(350\) −156084. + 361109.i −0.0681066 + 0.157568i
\(351\) −763788. −0.330906
\(352\) −671649. 2.05234e6i −0.288925 0.882860i
\(353\) −2.64544e6 −1.12996 −0.564978 0.825106i \(-0.691115\pi\)
−0.564978 + 0.825106i \(0.691115\pi\)
\(354\) −184912. + 427804.i −0.0784256 + 0.181442i
\(355\) 317736. 317736.i 0.133812 0.133812i
\(356\) −2.90741e6 + 2.73488e6i −1.21586 + 1.14370i
\(357\) −259858. 259858.i −0.107911 0.107911i
\(358\) −675.896 1705.01i −0.000278723 0.000703104i
\(359\) 976508.i 0.399889i 0.979807 + 0.199945i \(0.0640762\pi\)
−0.979807 + 0.199945i \(0.935924\pi\)
\(360\) 456438. 973186.i 0.185620 0.395767i
\(361\) 1.85807e6i 0.750402i
\(362\) −2.43020e6 + 963374.i −0.974699 + 0.386388i
\(363\) −36533.1 36533.1i −0.0145519 0.0145519i
\(364\) 73917.2 2.41725e6i 0.0292410 0.956241i
\(365\) 256910. 256910.i 0.100937 0.100937i
\(366\) 96335.5 + 41639.7i 0.0375910 + 0.0162482i
\(367\) 535830. 0.207664 0.103832 0.994595i \(-0.466889\pi\)
0.103832 + 0.994595i \(0.466889\pi\)
\(368\) −3.93451e6 240853.i −1.51451 0.0927112i
\(369\) 718751. 0.274797
\(370\) 1.39096e6 + 601222.i 0.528214 + 0.228313i
\(371\) −2.37902e6 + 2.37902e6i −0.897351 + 0.897351i
\(372\) 386266. + 11811.7i 0.144720 + 0.00442542i
\(373\) 1.70833e6 + 1.70833e6i 0.635770 + 0.635770i 0.949509 0.313739i \(-0.101582\pi\)
−0.313739 + 0.949509i \(0.601582\pi\)
\(374\) −2.76669e6 + 1.09676e6i −1.02278 + 0.405447i
\(375\) 36566.4i 0.0134278i
\(376\) 4.27958e6 1.54688e6i 1.56110 0.564272i
\(377\) 2.66990e6i 0.967481i
\(378\) 260848. + 658012.i 0.0938982 + 0.236867i
\(379\) 1.64313e6 + 1.64313e6i 0.587591 + 0.587591i 0.936978 0.349388i \(-0.113610\pi\)
−0.349388 + 0.936978i \(0.613610\pi\)
\(380\) 430912. + 458097.i 0.153084 + 0.162742i
\(381\) 421505. 421505.i 0.148761 0.148761i
\(382\) −589509. + 1.36386e6i −0.206696 + 0.478201i
\(383\) 2.24417e6 0.781732 0.390866 0.920448i \(-0.372176\pi\)
0.390866 + 0.920448i \(0.372176\pi\)
\(384\) 380757. + 207856.i 0.131771 + 0.0719342i
\(385\) −1.03701e6 −0.356560
\(386\) −1.66405e6 + 3.84985e6i −0.568456 + 1.31515i
\(387\) −2.41019e6 + 2.41019e6i −0.818038 + 0.818038i
\(388\) −1.10806e6 1.17796e6i −0.373666 0.397239i
\(389\) −917079. 917079.i −0.307279 0.307279i 0.536574 0.843853i \(-0.319718\pi\)
−0.843853 + 0.536574i \(0.819718\pi\)
\(390\) 82838.5 + 208968.i 0.0275785 + 0.0695693i
\(391\) 5.43270e6i 1.79711i
\(392\) 753488. 272353.i 0.247663 0.0895195i
\(393\) 797635.i 0.260509i
\(394\) −3.29671e6 + 1.30687e6i −1.06989 + 0.424124i
\(395\) 995618. + 995618.i 0.321070 + 0.321070i
\(396\) 2.83217e6 + 86605.4i 0.907574 + 0.0277528i
\(397\) 903998. 903998.i 0.287867 0.287867i −0.548370 0.836236i \(-0.684751\pi\)
0.836236 + 0.548370i \(0.184751\pi\)
\(398\) 3.00594e6 + 1.29928e6i 0.951202 + 0.411144i
\(399\) −204712. −0.0643740
\(400\) −638804. 39104.7i −0.199626 0.0122202i
\(401\) 4.99527e6 1.55131 0.775654 0.631158i \(-0.217420\pi\)
0.775654 + 0.631158i \(0.217420\pi\)
\(402\) −329521. 142431.i −0.101699 0.0439581i
\(403\) 2.47833e6 2.47833e6i 0.760146 0.760146i
\(404\) −101588. + 3.32213e6i −0.0309662 + 1.01266i
\(405\) 973800. + 973800.i 0.295007 + 0.295007i
\(406\) −2.30015e6 + 911822.i −0.692535 + 0.274533i
\(407\) 3.99447e6i 1.19529i
\(408\) 253870. 541283.i 0.0755023 0.160981i
\(409\) 447165.i 0.132178i −0.997814 0.0660891i \(-0.978948\pi\)
0.997814 0.0660891i \(-0.0210522\pi\)
\(410\) −157705. 397826.i −0.0463326 0.116878i
\(411\) −485979. 485979.i −0.141910 0.141910i
\(412\) 2.33298e6 2.19453e6i 0.677123 0.636940i
\(413\) 2.76990e6 2.76990e6i 0.799078 0.799078i
\(414\) 2.05216e6 4.74777e6i 0.588451 1.36141i
\(415\) 209408. 0.0596861
\(416\) 3.73920e6 1.22369e6i 1.05936 0.346688i
\(417\) −102448. −0.0288511
\(418\) −657769. + 1.52178e6i −0.184133 + 0.426002i
\(419\) 2.95570e6 2.95570e6i 0.822481 0.822481i −0.163982 0.986463i \(-0.552434\pi\)
0.986463 + 0.163982i \(0.0524340\pi\)
\(420\) 151737. 142733.i 0.0419729 0.0394821i
\(421\) −2.32051e6 2.32051e6i −0.638084 0.638084i 0.311998 0.950083i \(-0.399002\pi\)
−0.950083 + 0.311998i \(0.899002\pi\)
\(422\) −1.54855e6 3.90637e6i −0.423297 1.06781i
\(423\) 5.97100e6i 1.62254i
\(424\) −4.95547e6 2.32419e6i −1.33866 0.627851i
\(425\) 882049.i 0.236876i
\(426\) −221199. + 87687.2i −0.0590554 + 0.0234106i
\(427\) −623743. 623743.i −0.165553 0.165553i
\(428\) 60171.2 1.96772e6i 0.0158774 0.519223i
\(429\) −418996. + 418996.i −0.109918 + 0.109918i
\(430\) 1.86286e6 + 805197.i 0.485858 + 0.210006i
\(431\) 2.57689e6 0.668195 0.334098 0.942538i \(-0.391568\pi\)
0.334098 + 0.942538i \(0.391568\pi\)
\(432\) −862487. + 762983.i −0.222353 + 0.196701i
\(433\) −3.68386e6 −0.944242 −0.472121 0.881534i \(-0.656511\pi\)
−0.472121 + 0.881534i \(0.656511\pi\)
\(434\) −2.98151e6 1.28872e6i −0.759822 0.328423i
\(435\) 162624. 162624.i 0.0412062 0.0412062i
\(436\) 5.34980e6 + 163592.i 1.34779 + 0.0412142i
\(437\) 2.13989e6 + 2.13989e6i 0.536029 + 0.536029i
\(438\) −178854. + 70900.8i −0.0445464 + 0.0176590i
\(439\) 6.45899e6i 1.59957i 0.600287 + 0.799785i \(0.295053\pi\)
−0.600287 + 0.799785i \(0.704947\pi\)
\(440\) −573488. 1.58660e6i −0.141219 0.390693i
\(441\) 1.05129e6i 0.257410i
\(442\) −1.99822e6 5.04069e6i −0.486505 1.22725i
\(443\) −4.16997e6 4.16997e6i −1.00954 1.00954i −0.999954 0.00958598i \(-0.996949\pi\)
−0.00958598 0.999954i \(-0.503051\pi\)
\(444\) −549793. 584478.i −0.132355 0.140705i
\(445\) −2.20505e6 + 2.20505e6i −0.527860 + 0.527860i
\(446\) −1.28218e6 + 2.96639e6i −0.305220 + 0.706142i
\(447\) −1.26489e6 −0.299423
\(448\) −2.33123e6 2.80345e6i −0.548769 0.659929i
\(449\) −3.47801e6 −0.814169 −0.407085 0.913390i \(-0.633455\pi\)
−0.407085 + 0.913390i \(0.633455\pi\)
\(450\) 333187. 770845.i 0.0775635 0.179447i
\(451\) 797672. 797672.i 0.184664 0.184664i
\(452\) 740029. + 786715.i 0.170374 + 0.181122i
\(453\) −224899. 224899.i −0.0514923 0.0514923i
\(454\) −776841. 1.95965e6i −0.176886 0.446211i
\(455\) 1.88936e6i 0.427844i
\(456\) −113210. 313203.i −0.0254959 0.0705366i
\(457\) 6.53808e6i 1.46440i −0.681089 0.732200i \(-0.738494\pi\)
0.681089 0.732200i \(-0.261506\pi\)
\(458\) 684476. 271338.i 0.152474 0.0604432i
\(459\) 1.12221e6 + 1.12221e6i 0.248624 + 0.248624i
\(460\) −3.07815e6 94127.1i −0.678259 0.0207406i
\(461\) 5.79897e6 5.79897e6i 1.27086 1.27086i 0.325225 0.945637i \(-0.394560\pi\)
0.945637 0.325225i \(-0.105440\pi\)
\(462\) 504065. + 217875.i 0.109871 + 0.0474901i
\(463\) 2.33971e6 0.507235 0.253618 0.967305i \(-0.418379\pi\)
0.253618 + 0.967305i \(0.418379\pi\)
\(464\) −2.66709e6 3.01492e6i −0.575099 0.650100i
\(465\) 301912. 0.0647512
\(466\) −7.31249e6 3.16072e6i −1.55991 0.674251i
\(467\) 5.60644e6 5.60644e6i 1.18958 1.18958i 0.212402 0.977182i \(-0.431871\pi\)
0.977182 0.212402i \(-0.0681285\pi\)
\(468\) −157788. + 5.16000e6i −0.0333012 + 1.08902i
\(469\) 2.13355e6 + 2.13355e6i 0.447889 + 0.447889i
\(470\) 3.30492e6 1.31013e6i 0.690108 0.273571i
\(471\) 333453.i 0.0692600i
\(472\) 5.76968e6 + 2.70606e6i 1.19206 + 0.559092i
\(473\) 5.34967e6i 1.09945i
\(474\) −274766. 693123.i −0.0561717 0.141698i
\(475\) 347431. + 347431.i 0.0706537 + 0.0706537i
\(476\) −3.66019e6 + 3.44298e6i −0.740433 + 0.696493i
\(477\) 5.07839e6 5.07839e6i 1.02195 1.02195i
\(478\) −1.64276e6 + 3.80061e6i −0.328855 + 0.760822i
\(479\) 3.58644e6 0.714207 0.357104 0.934065i \(-0.383764\pi\)
0.357104 + 0.934065i \(0.383764\pi\)
\(480\) 302291. + 153220.i 0.0598855 + 0.0303537i
\(481\) −7.27762e6 −1.43426
\(482\) −1.18631e6 + 2.74460e6i −0.232585 + 0.538097i
\(483\) 708805. 708805.i 0.138248 0.138248i
\(484\) −514580. + 484043.i −0.0998480 + 0.0939226i
\(485\) −893395. 893395.i −0.172460 0.172460i
\(486\) −838405. 2.11495e6i −0.161014 0.406172i
\(487\) 4.95472e6i 0.946666i 0.880884 + 0.473333i \(0.156949\pi\)
−0.880884 + 0.473333i \(0.843051\pi\)
\(488\) 609368. 1.29925e6i 0.115832 0.246970i
\(489\) 55813.9i 0.0105553i
\(490\) 581884. 230669.i 0.109483 0.0434009i
\(491\) 1.50044e6 + 1.50044e6i 0.280876 + 0.280876i 0.833458 0.552582i \(-0.186357\pi\)
−0.552582 + 0.833458i \(0.686357\pi\)
\(492\) −6926.38 + 226507.i −0.00129001 + 0.0421860i
\(493\) −3.92281e6 + 3.92281e6i −0.726908 + 0.726908i
\(494\) −2.77257e6 1.19840e6i −0.511169 0.220946i
\(495\) 2.21367e6 0.406069
\(496\) 322870. 5.27431e6i 0.0589282 0.962635i
\(497\) 1.99995e6 0.363184
\(498\) −101788. 43996.4i −0.0183917 0.00794958i
\(499\) −6.54048e6 + 6.54048e6i −1.17587 + 1.17587i −0.195081 + 0.980787i \(0.562497\pi\)
−0.980787 + 0.195081i \(0.937503\pi\)
\(500\) −499766. 15282.4i −0.0894009 0.00273380i
\(501\) −891752. 891752.i −0.158727 0.158727i
\(502\) 443539. 175827.i 0.0785548 0.0311405i
\(503\) 7.17695e6i 1.26479i −0.774645 0.632397i \(-0.782071\pi\)
0.774645 0.632397i \(-0.217929\pi\)
\(504\) 4.49929e6 1.62630e6i 0.788983 0.285183i
\(505\) 2.59663e6i 0.453086i
\(506\) −2.99160e6 7.54659e6i −0.519430 1.31031i
\(507\) −148961. 148961.i −0.0257368 0.0257368i
\(508\) −5.58470e6 5.93703e6i −0.960154 1.02073i
\(509\) −902441. + 902441.i −0.154392 + 0.154392i −0.780076 0.625684i \(-0.784820\pi\)
0.625684 + 0.780076i \(0.284820\pi\)
\(510\) 185318. 428742.i 0.0315494 0.0729912i
\(511\) 1.61708e6 0.273956
\(512\) 2.99998e6 5.11708e6i 0.505760 0.862674i
\(513\) 884057. 0.148316
\(514\) −2.55520e6 + 5.91157e6i −0.426596 + 0.986950i
\(515\) 1.76939e6 1.76939e6i 0.293971 0.293971i
\(516\) −736319. 782771.i −0.121742 0.129423i
\(517\) 6.62663e6 + 6.62663e6i 1.09035 + 1.09035i
\(518\) 2.48544e6 + 6.26976e6i 0.406986 + 1.02666i
\(519\) 1.09019e6i 0.177657i
\(520\) 2.89066e6 1.04485e6i 0.468802 0.169452i
\(521\) 1.16790e7i 1.88501i −0.334196 0.942504i \(-0.608465\pi\)
0.334196 0.942504i \(-0.391535\pi\)
\(522\) 4.91005e6 1.94643e6i 0.788696 0.312653i
\(523\) −3.92307e6 3.92307e6i −0.627151 0.627151i 0.320199 0.947350i \(-0.396250\pi\)
−0.947350 + 0.320199i \(0.896250\pi\)
\(524\) 1.09016e7 + 333361.i 1.73445 + 0.0530379i
\(525\) 115081. 115081.i 0.0182224 0.0182224i
\(526\) 6.46026e6 + 2.79236e6i 1.01809 + 0.440055i
\(527\) −7.28268e6 −1.14226
\(528\) −54585.5 + 891695.i −0.00852104 + 0.139198i
\(529\) −8.38221e6 −1.30233
\(530\) −3.92515e6 1.69659e6i −0.606969 0.262354i
\(531\) −5.91280e6 + 5.91280e6i −0.910032 + 0.910032i
\(532\) −85556.5 + 2.79787e6i −0.0131061 + 0.428597i
\(533\) 1.45330e6 + 1.45330e6i 0.221583 + 0.221583i
\(534\) 1.53510e6 608540.i 0.232961 0.0923498i
\(535\) 1.53800e6i 0.232312i
\(536\) −2.08438e6 + 4.44416e6i −0.313375 + 0.668156i
\(537\) 758.767i 0.000113546i
\(538\) 2.91639e6 + 7.35687e6i 0.434400 + 1.09582i
\(539\) 1.16672e6 + 1.16672e6i 0.172980 + 0.172980i
\(540\) −655284. + 616397.i −0.0967042 + 0.0909654i
\(541\) 2.41552e6 2.41552e6i 0.354827 0.354827i −0.507075 0.861902i \(-0.669273\pi\)
0.861902 + 0.507075i \(0.169273\pi\)
\(542\) 1.80359e6 4.17269e6i 0.263718 0.610124i
\(543\) 1.08149e6 0.157407
\(544\) −7.29182e6 3.69595e6i −1.05642 0.535463i
\(545\) 4.18149e6 0.603031
\(546\) −396952. + 918368.i −0.0569844 + 0.131836i
\(547\) 6.54146e6 6.54146e6i 0.934773 0.934773i −0.0632263 0.997999i \(-0.520139\pi\)
0.997999 + 0.0632263i \(0.0201390\pi\)
\(548\) −6.84517e6 + 6.43895e6i −0.973717 + 0.915933i
\(549\) 1.33148e6 + 1.33148e6i 0.188540 + 0.188540i
\(550\) −485714. 1.22526e6i −0.0684658 0.172711i
\(551\) 3.09032e6i 0.433635i
\(552\) 1.47643e6 + 692469.i 0.206237 + 0.0967282i
\(553\) 6.26679e6i 0.871429i
\(554\) 5.41567e6 2.14687e6i 0.749684 0.297188i
\(555\) −443282. 443282.i −0.0610868 0.0610868i
\(556\) −42816.7 + 1.40019e6i −0.00587390 + 0.192089i
\(557\) 3.16244e6 3.16244e6i 0.431901 0.431901i −0.457373 0.889275i \(-0.651210\pi\)
0.889275 + 0.457373i \(0.151210\pi\)
\(558\) 6.36451e6 + 2.75097e6i 0.865326 + 0.374025i
\(559\) −9.74668e6 −1.31925
\(560\) −1.88736e6 2.13350e6i −0.254323 0.287490i
\(561\) 1.23124e6 0.165171
\(562\) 4.89462e6 + 2.11563e6i 0.653699 + 0.282553i
\(563\) 9.31793e6 9.31793e6i 1.23893 1.23893i 0.278498 0.960437i \(-0.410164\pi\)
0.960437 0.278498i \(-0.0898365\pi\)
\(564\) −1.88170e6 57540.6i −0.249087 0.00761687i
\(565\) 596663. + 596663.i 0.0786336 + 0.0786336i
\(566\) −3.22632e6 + 1.27897e6i −0.423318 + 0.167811i
\(567\) 6.12945e6i 0.800690i
\(568\) 1.10601e6 + 3.05986e6i 0.143843 + 0.397952i
\(569\) 4.94714e6i 0.640580i 0.947320 + 0.320290i \(0.103780\pi\)
−0.947320 + 0.320290i \(0.896220\pi\)
\(570\) −95882.6 241873.i −0.0123610 0.0311817i
\(571\) −8.93540e6 8.93540e6i −1.14690 1.14690i −0.987160 0.159735i \(-0.948936\pi\)
−0.159735 0.987160i \(-0.551064\pi\)
\(572\) 5.55147e6 + 5.90170e6i 0.709444 + 0.754201i
\(573\) 434645. 434645.i 0.0553029 0.0553029i
\(574\) 755704. 1.74836e6i 0.0957353 0.221488i
\(575\) −2.40593e6 −0.303468
\(576\) 4.97638e6 + 5.98441e6i 0.624968 + 0.751563i
\(577\) −6.71522e6 −0.839694 −0.419847 0.907595i \(-0.637916\pi\)
−0.419847 + 0.907595i \(0.637916\pi\)
\(578\) −1.28347e6 + 2.96937e6i −0.159796 + 0.369696i
\(579\) 1.22690e6 1.22690e6i 0.152094 0.152094i
\(580\) −2.15468e6 2.29062e6i −0.265958 0.282737i
\(581\) 659045. + 659045.i 0.0809981 + 0.0809981i
\(582\) 246555. + 621958.i 0.0301722 + 0.0761120i
\(583\) 1.12720e7i 1.37351i
\(584\) 894278. + 2.47409e6i 0.108503 + 0.300182i
\(585\) 4.03314e6i 0.487251i
\(586\) −9.35640e6 + 3.70904e6i −1.12555 + 0.446188i
\(587\) 6.17039e6 + 6.17039e6i 0.739124 + 0.739124i 0.972408 0.233285i \(-0.0749474\pi\)
−0.233285 + 0.972408i \(0.574947\pi\)
\(588\) −331302. 10130.9i −0.0395167 0.00120839i
\(589\) −2.86858e6 + 2.86858e6i −0.340705 + 0.340705i
\(590\) 4.57007e6 + 1.97535e6i 0.540497 + 0.233622i
\(591\) 1.46711e6 0.172780
\(592\) −8.21806e6 + 7.26995e6i −0.963751 + 0.852564i
\(593\) −1.25869e7 −1.46988 −0.734941 0.678131i \(-0.762790\pi\)
−0.734941 + 0.678131i \(0.762790\pi\)
\(594\) −2.17683e6 940904.i −0.253138 0.109416i
\(595\) −2.77597e6 + 2.77597e6i −0.321457 + 0.321457i
\(596\) −528645. + 1.72878e7i −0.0609605 + 1.99353i
\(597\) −957957. 957957.i −0.110004 0.110004i
\(598\) 1.37493e7 5.45046e6i 1.57227 0.623276i
\(599\) 1.23633e7i 1.40789i 0.710255 + 0.703945i \(0.248580\pi\)
−0.710255 + 0.703945i \(0.751420\pi\)
\(600\) 239713. + 112429.i 0.0271840 + 0.0127497i
\(601\) 112472.i 0.0127016i −0.999980 0.00635082i \(-0.997978\pi\)
0.999980 0.00635082i \(-0.00202154\pi\)
\(602\) 3.32867e6 + 8.39687e6i 0.374351 + 0.944336i
\(603\) −4.55440e6 4.55440e6i −0.510079 0.510079i
\(604\) −3.16778e6 + 2.97979e6i −0.353315 + 0.332348i
\(605\) −390269. + 390269.i −0.0433487 + 0.0433487i
\(606\) 545549. 1.26215e6i 0.0603465 0.139615i
\(607\) 4.40422e6 0.485174 0.242587 0.970130i \(-0.422004\pi\)
0.242587 + 0.970130i \(0.422004\pi\)
\(608\) −4.32799e6 + 1.41638e6i −0.474818 + 0.155389i
\(609\) 1.02362e6 0.111839
\(610\) 444822. 1.02912e6i 0.0484018 0.111980i
\(611\) −1.20732e7 + 1.20732e7i −1.30834 + 1.30834i
\(612\) 7.81326e6 7.34959e6i 0.843245 0.793204i
\(613\) −7.03209e6 7.03209e6i −0.755846 0.755846i 0.219717 0.975564i \(-0.429486\pi\)
−0.975564 + 0.219717i \(0.929486\pi\)
\(614\) −755046. 1.90467e6i −0.0808263 0.203892i
\(615\) 177041.i 0.0188750i
\(616\) 3.18845e6 6.79819e6i 0.338554 0.721841i
\(617\) 3.79732e6i 0.401572i −0.979635 0.200786i \(-0.935650\pi\)
0.979635 0.200786i \(-0.0643497\pi\)
\(618\) −1.23180e6 + 488307.i −0.129738 + 0.0514306i
\(619\) −3.72415e6 3.72415e6i −0.390661 0.390661i 0.484262 0.874923i \(-0.339088\pi\)
−0.874923 + 0.484262i \(0.839088\pi\)
\(620\) 126180. 4.12634e6i 0.0131829 0.431108i
\(621\) −3.06101e6 + 3.06101e6i −0.318519 + 0.318519i
\(622\) −1.66380e6 719153.i −0.172435 0.0745325i
\(623\) −1.38794e7 −1.43268
\(624\) −1.62460e6 99450.6i −0.167026 0.0102246i
\(625\) −390625. −0.0400000
\(626\) 2.87855e6 + 1.24421e6i 0.293588 + 0.126899i
\(627\) 484973. 484973.i 0.0492662 0.0492662i
\(628\) 4.55743e6 + 139362.i 0.461127 + 0.0141009i
\(629\) 1.06928e7 + 1.06928e7i 1.07762 + 1.07762i
\(630\) 3.47459e6 1.37739e6i 0.348781 0.138263i
\(631\) 1.65548e7i 1.65520i −0.561315 0.827602i \(-0.689704\pi\)
0.561315 0.827602i \(-0.310296\pi\)
\(632\) −9.58801e6 + 3.46565e6i −0.954852 + 0.345138i
\(633\) 1.73842e6i 0.172443i
\(634\) −546014. 1.37737e6i −0.0539486 0.136090i
\(635\) −4.50278e6 4.50278e6i −0.443145 0.443145i
\(636\) 1.55146e6 + 1.64934e6i 0.152089 + 0.161684i
\(637\) −2.12568e6 + 2.12568e6i −0.207562 + 0.207562i
\(638\) 3.28903e6 7.60934e6i 0.319902 0.740108i
\(639\) −4.26921e6 −0.413614
\(640\) 2.22045e6 4.06748e6i 0.214285 0.392533i
\(641\) 1.37252e7 1.31939 0.659695 0.751534i \(-0.270686\pi\)
0.659695 + 0.751534i \(0.270686\pi\)
\(642\) −323133. + 747583.i −0.0309416 + 0.0715850i
\(643\) 1.06645e7 1.06645e7i 1.01722 1.01722i 0.0173689 0.999849i \(-0.494471\pi\)
0.999849 0.0173689i \(-0.00552896\pi\)
\(644\) −9.39127e6 9.98374e6i −0.892298 0.948590i
\(645\) −593672. 593672.i −0.0561885 0.0561885i
\(646\) 2.31287e6 + 5.83442e6i 0.218057 + 0.550068i
\(647\) 1.48483e7i 1.39449i −0.716832 0.697246i \(-0.754408\pi\)
0.716832 0.697246i \(-0.245592\pi\)
\(648\) −9.37789e6 + 3.38970e6i −0.877340 + 0.317121i
\(649\) 1.31241e7i 1.22309i
\(650\) 2.23233e6 884933.i 0.207240 0.0821537i
\(651\) 950171. + 950171.i 0.0878718 + 0.0878718i
\(652\) 762830. + 23326.7i 0.0702763 + 0.00214899i
\(653\) −2.85059e6 + 2.85059e6i −0.261609 + 0.261609i −0.825707 0.564099i \(-0.809224\pi\)
0.564099 + 0.825707i \(0.309224\pi\)
\(654\) −2.03251e6 878527.i −0.185819 0.0803176i
\(655\) 8.52084e6 0.776032
\(656\) 3.09286e6 + 189331.i 0.280608 + 0.0171776i
\(657\) −3.45193e6 −0.311995
\(658\) 1.45244e7 + 6.27798e6i 1.30778 + 0.565269i
\(659\) 7.02539e6 7.02539e6i 0.630169 0.630169i −0.317941 0.948110i \(-0.602991\pi\)
0.948110 + 0.317941i \(0.102991\pi\)
\(660\) −21332.4 + 697615.i −0.00190625 + 0.0623384i
\(661\) −1.40520e7 1.40520e7i −1.25093 1.25093i −0.955303 0.295629i \(-0.904471\pi\)
−0.295629 0.955303i \(-0.595529\pi\)
\(662\) −1.25895e7 + 4.99070e6i −1.11651 + 0.442606i
\(663\) 2.24322e6i 0.198193i
\(664\) −643857. + 1.37279e6i −0.0566721 + 0.120832i
\(665\) 2.18686e6i 0.191764i
\(666\) −5.30558e6 1.33838e7i −0.463497 1.16921i
\(667\) −1.07001e7 1.07001e7i −0.931263 0.931263i
\(668\) −1.25606e7 + 1.18152e7i −1.08910 + 1.02447i
\(669\) 945354. 945354.i 0.0816638 0.0816638i
\(670\) −1.52154e6 + 3.52015e6i −0.130947 + 0.302952i
\(671\) 2.95536e6 0.253399
\(672\) 469153. + 1.43358e6i 0.0400766 + 0.122461i
\(673\) 1.61346e7 1.37316 0.686578 0.727056i \(-0.259112\pi\)
0.686578 + 0.727056i \(0.259112\pi\)
\(674\) 8.54476e6 1.97687e7i 0.724520 1.67621i
\(675\) −496983. + 496983.i −0.0419838 + 0.0419838i
\(676\) −2.09817e6 + 1.97366e6i −0.176593 + 0.166113i
\(677\) 3.14851e6 + 3.14851e6i 0.264018 + 0.264018i 0.826684 0.562666i \(-0.190224\pi\)
−0.562666 + 0.826684i \(0.690224\pi\)
\(678\) −164664. 415381.i −0.0137570 0.0347034i
\(679\) 5.62335e6i 0.468081i
\(680\) −5.78232e6 2.71199e6i −0.479546 0.224914i
\(681\) 872088.i 0.0720597i
\(682\) 1.01164e7 4.01032e6i 0.832846 0.330155i
\(683\) 1.64501e6 + 1.64501e6i 0.134932 + 0.134932i 0.771347 0.636415i \(-0.219583\pi\)
−0.636415 + 0.771347i \(0.719583\pi\)
\(684\) 182634. 5.97252e6i 0.0149259 0.488109i
\(685\) −5.19154e6 + 5.19154e6i −0.422736 + 0.422736i
\(686\) 1.22679e7 + 5.30263e6i 0.995314 + 0.430211i
\(687\) −304607. −0.0246234
\(688\) −1.10062e7 + 9.73640e6i −0.886472 + 0.784201i
\(689\) 2.05368e7 1.64810
\(690\) 1.16946e6 + 505484.i 0.0935111 + 0.0404189i
\(691\) −6.96341e6 + 6.96341e6i −0.554788 + 0.554788i −0.927819 0.373031i \(-0.878319\pi\)
0.373031 + 0.927819i \(0.378319\pi\)
\(692\) 1.49000e7 + 455629.i 1.18283 + 0.0361698i
\(693\) 6.96683e6 + 6.96683e6i 0.551064 + 0.551064i
\(694\) −2.07275e6 + 821676.i −0.163361 + 0.0647593i
\(695\) 1.09441e6i 0.0859448i
\(696\) 566080. + 1.56611e6i 0.0442950 + 0.122546i
\(697\) 4.27056e6i 0.332969i
\(698\) 522527. + 1.31812e6i 0.0405948 + 0.102404i
\(699\) 2.33040e6 + 2.33040e6i 0.180401 + 0.180401i
\(700\) −1.52476e6 1.62095e6i −0.117613 0.125033i
\(701\) 6.11701e6 6.11701e6i 0.470158 0.470158i −0.431808 0.901966i \(-0.642124\pi\)
0.901966 + 0.431808i \(0.142124\pi\)
\(702\) 1.71425e6 3.96601e6i 0.131290 0.303746i
\(703\) 8.42359e6 0.642849
\(704\) 1.21643e7 + 1.11871e6i 0.925031 + 0.0850721i
\(705\) −1.47076e6 −0.111447
\(706\) 5.93746e6 1.37366e7i 0.448320 1.03721i
\(707\) −8.17206e6 + 8.17206e6i −0.614870 + 0.614870i
\(708\) −1.80638e6 1.92034e6i −0.135433 0.143977i
\(709\) 6.88103e6 + 6.88103e6i 0.514089 + 0.514089i 0.915777 0.401688i \(-0.131576\pi\)
−0.401688 + 0.915777i \(0.631576\pi\)
\(710\) 936730. + 2.36299e6i 0.0697379 + 0.175920i
\(711\) 1.33775e7i 0.992430i
\(712\) −7.67557e6 2.12351e7i −0.567428 1.56984i
\(713\) 1.98647e7i 1.46338i
\(714\) 1.93256e6 766100.i 0.141869 0.0562393i
\(715\) 4.47598e6 + 4.47598e6i 0.327434 + 0.327434i
\(716\) 10370.3 + 317.116i 0.000755981 + 2.31172e-5i
\(717\) 1.21121e6 1.21121e6i 0.0879874 0.0879874i
\(718\) −5.07057e6 2.19168e6i −0.367067 0.158660i
\(719\) −8.72879e6 −0.629697 −0.314849 0.949142i \(-0.601954\pi\)
−0.314849 + 0.949142i \(0.601954\pi\)
\(720\) 4.02888e6 + 4.55431e6i 0.289637 + 0.327409i
\(721\) 1.11372e7 0.797878
\(722\) −9.64813e6 4.17027e6i −0.688811 0.297729i
\(723\) 874670. 874670.i 0.0622298 0.0622298i
\(724\) 451994. 1.47811e7i 0.0320469 1.04800i
\(725\) −1.73726e6 1.73726e6i −0.122749 0.122749i
\(726\) 271695. 107705.i 0.0191311 0.00758391i
\(727\) 2.42302e7i 1.70028i 0.526556 + 0.850140i \(0.323483\pi\)
−0.526556 + 0.850140i \(0.676517\pi\)
\(728\) 1.23858e7 + 5.80911e6i 0.866154 + 0.406239i
\(729\) 1.24448e7i 0.867300i
\(730\) 757407. + 1.91063e6i 0.0526044 + 0.132699i
\(731\) 1.43205e7 + 1.43205e7i 0.991207 + 0.991207i
\(732\) −432433. + 406771.i −0.0298292 + 0.0280590i
\(733\) −7.88120e6 + 7.88120e6i −0.541792 + 0.541792i −0.924054 0.382262i \(-0.875145\pi\)
0.382262 + 0.924054i \(0.375145\pi\)
\(734\) −1.20262e6 + 2.78233e6i −0.0823928 + 0.190620i
\(735\) −258951. −0.0176807
\(736\) 1.00813e7 1.98896e7i 0.685997 1.35342i
\(737\) −1.01090e7 −0.685548
\(738\) −1.61317e6 + 3.73215e6i −0.109028 + 0.252243i
\(739\) 236806. 236806.i 0.0159507 0.0159507i −0.699086 0.715037i \(-0.746410\pi\)
0.715037 + 0.699086i \(0.246410\pi\)
\(740\) −6.24376e6 + 5.87323e6i −0.419148 + 0.394274i
\(741\) 883584. + 883584.i 0.0591156 + 0.0591156i
\(742\) −7.01368e6 1.76927e7i −0.467666 1.17973i
\(743\) 1.34350e7i 0.892821i −0.894828 0.446410i \(-0.852702\pi\)
0.894828 0.446410i \(-0.147298\pi\)
\(744\) −928273. + 1.97920e6i −0.0614814 + 0.131086i
\(745\) 1.35124e7i 0.891951i
\(746\) −1.27048e7 + 5.03640e6i −0.835835 + 0.331340i
\(747\) −1.40684e6 1.40684e6i −0.0922450 0.0922450i
\(748\) 514579. 1.68278e7i 0.0336277 1.09970i
\(749\) 4.84037e6 4.84037e6i 0.315264 0.315264i
\(750\) 189873. + 82069.9i 0.0123256 + 0.00532759i
\(751\) 1.81960e7 1.17727 0.588635 0.808399i \(-0.299666\pi\)
0.588635 + 0.808399i \(0.299666\pi\)
\(752\) −1.57286e6 + 2.56938e7i −0.101425 + 1.65685i
\(753\) −197385. −0.0126860
\(754\) 1.38636e7 + 5.99236e6i 0.888073 + 0.383857i
\(755\) −2.40251e6 + 2.40251e6i −0.153391 + 0.153391i
\(756\) −4.00221e6 122384.i −0.254681 0.00778791i
\(757\) 2.57560e6 + 2.57560e6i 0.163358 + 0.163358i 0.784052 0.620695i \(-0.213149\pi\)
−0.620695 + 0.784052i \(0.713149\pi\)
\(758\) −1.22199e7 + 4.84420e6i −0.772495 + 0.306231i
\(759\) 3.35839e6i 0.211606i
\(760\) −3.34584e6 + 1.20938e6i −0.210122 + 0.0759499i
\(761\) 2.94832e7i 1.84550i 0.385404 + 0.922748i \(0.374062\pi\)
−0.385404 + 0.922748i \(0.625938\pi\)
\(762\) 1.24266e6 + 3.13472e6i 0.0775289 + 0.195574i
\(763\) 1.31599e7