Properties

Label 21.6.e.b.4.1
Level $21$
Weight $6$
Character 21.4
Analytic conductor $3.368$
Analytic rank $0$
Dimension $4$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 21.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.36806021607\)
Analytic rank: \(0\)
Dimension: \(4\)
Relative dimension: \(2\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\Q(\sqrt{-3}, \sqrt{-83})\)
Defining polynomial: \( x^{4} - x^{3} - 20x^{2} - 21x + 441 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 4.1
Root \(4.19493 + 1.84460i\) of defining polynomial
Character \(\chi\) \(=\) 21.4
Dual form 21.6.e.b.16.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.19493 - 5.53379i) q^{2} +(4.50000 - 7.79423i) q^{3} +(-4.41520 + 7.64735i) q^{4} +(-19.3645 - 33.5404i) q^{5} -57.5088 q^{6} +(-87.5000 + 95.6596i) q^{7} -148.051 q^{8} +(-40.5000 - 70.1481i) q^{9} +O(q^{10})\) \(q+(-3.19493 - 5.53379i) q^{2} +(4.50000 - 7.79423i) q^{3} +(-4.41520 + 7.64735i) q^{4} +(-19.3645 - 33.5404i) q^{5} -57.5088 q^{6} +(-87.5000 + 95.6596i) q^{7} -148.051 q^{8} +(-40.5000 - 70.1481i) q^{9} +(-123.737 + 214.318i) q^{10} +(288.195 - 499.168i) q^{11} +(39.7368 + 68.8262i) q^{12} +391.491 q^{13} +(808.916 + 178.580i) q^{14} -348.562 q^{15} +(614.298 + 1064.00i) q^{16} +(664.850 - 1151.55i) q^{17} +(-258.790 + 448.237i) q^{18} +(-471.237 - 816.206i) q^{19} +341.993 q^{20} +(351.842 + 1112.46i) q^{21} -3683.05 q^{22} +(816.040 + 1413.42i) q^{23} +(-666.228 + 1153.94i) q^{24} +(812.530 - 1407.34i) q^{25} +(-1250.79 - 2166.43i) q^{26} -729.000 q^{27} +(-345.212 - 1091.50i) q^{28} -1463.54 q^{29} +(1113.63 + 1928.87i) q^{30} +(1956.21 - 3388.25i) q^{31} +(1556.47 - 2695.89i) q^{32} +(-2593.75 - 4492.51i) q^{33} -8496.61 q^{34} +(4902.85 + 1082.38i) q^{35} +715.262 q^{36} +(8150.17 + 14116.5i) q^{37} +(-3011.14 + 5215.45i) q^{38} +(1761.71 - 3051.37i) q^{39} +(2866.93 + 4965.67i) q^{40} -13103.8 q^{41} +(5032.02 - 5501.27i) q^{42} +14733.5 q^{43} +(2544.88 + 4407.86i) q^{44} +(-1568.53 + 2716.77i) q^{45} +(5214.38 - 9031.58i) q^{46} +(3407.26 + 5901.55i) q^{47} +11057.4 q^{48} +(-1494.50 - 16740.4i) q^{49} -10383.9 q^{50} +(-5983.65 - 10364.0i) q^{51} +(-1728.51 + 2993.87i) q^{52} +(1005.67 - 1741.87i) q^{53} +(2329.11 + 4034.13i) q^{54} -22323.0 q^{55} +(12954.4 - 14162.5i) q^{56} -8482.26 q^{57} +(4675.93 + 8098.94i) q^{58} +(-25726.6 + 44559.7i) q^{59} +(1538.97 - 2665.57i) q^{60} +(-20548.9 - 35591.8i) q^{61} -24999.8 q^{62} +(10254.1 + 2263.74i) q^{63} +19423.8 q^{64} +(-7581.04 - 13130.8i) q^{65} +(-16573.7 + 28706.6i) q^{66} +(-25289.1 + 43802.0i) q^{67} +(5870.89 + 10168.7i) q^{68} +14688.7 q^{69} +(-9674.63 - 30589.5i) q^{70} +39970.6 q^{71} +(5996.05 + 10385.5i) q^{72} +(27843.3 - 48226.0i) q^{73} +(52078.5 - 90202.6i) q^{74} +(-7312.77 - 12666.1i) q^{75} +8322.42 q^{76} +(22533.2 + 71245.8i) q^{77} -22514.2 q^{78} +(31575.7 + 54690.7i) q^{79} +(23791.2 - 41207.6i) q^{80} +(-3280.50 + 5681.99i) q^{81} +(41865.9 + 72513.8i) q^{82} +45572.4 q^{83} +(-10060.8 - 2221.08i) q^{84} -51498.1 q^{85} +(-47072.5 - 81532.0i) q^{86} +(-6585.95 + 11407.2i) q^{87} +(-42667.5 + 73902.2i) q^{88} +(-7843.34 - 13585.1i) q^{89} +20045.4 q^{90} +(-34255.5 + 37449.9i) q^{91} -14411.9 q^{92} +(-17605.9 - 30494.3i) q^{93} +(21771.9 - 37710.1i) q^{94} +(-18250.6 + 31610.9i) q^{95} +(-14008.3 - 24263.0i) q^{96} +3128.49 q^{97} +(-87863.1 + 61754.8i) q^{98} -46687.6 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4 q + 3 q^{2} + 18 q^{3} - 65 q^{4} + 33 q^{5} + 54 q^{6} - 350 q^{7} - 750 q^{8} - 162 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 4 q + 3 q^{2} + 18 q^{3} - 65 q^{4} + 33 q^{5} + 54 q^{6} - 350 q^{7} - 750 q^{8} - 162 q^{9} - 921 q^{10} + 1137 q^{11} + 585 q^{12} + 1850 q^{13} + 2352 q^{14} + 594 q^{15} + 895 q^{16} + 324 q^{17} + 243 q^{18} - 2311 q^{19} - 7374 q^{20} - 1575 q^{21} + 3162 q^{22} - 1596 q^{23} - 3375 q^{24} - 395 q^{25} + 2508 q^{26} - 2916 q^{27} + 13531 q^{28} - 4434 q^{29} + 8289 q^{30} - 4294 q^{31} - 1017 q^{32} - 10233 q^{33} - 35880 q^{34} + 15414 q^{35} + 10530 q^{36} + 19109 q^{37} + 6828 q^{38} + 8325 q^{39} - 10545 q^{40} - 25716 q^{41} - 4725 q^{42} - 5542 q^{43} + 36579 q^{44} + 2673 q^{45} + 40740 q^{46} + 23160 q^{47} + 16110 q^{48} - 5978 q^{49} - 58704 q^{50} - 2916 q^{51} - 33424 q^{52} + 31653 q^{53} - 2187 q^{54} + 35778 q^{55} + 65625 q^{56} - 41598 q^{57} + 2277 q^{58} - 41097 q^{59} - 33183 q^{60} - 42052 q^{61} - 204114 q^{62} + 14175 q^{63} - 60062 q^{64} + 23106 q^{65} + 14229 q^{66} - 30763 q^{67} - 44748 q^{68} - 28728 q^{69} + 151179 q^{70} + 204192 q^{71} + 30375 q^{72} + 28577 q^{73} + 77784 q^{74} + 3555 q^{75} + 170384 q^{76} - 96873 q^{77} + 45144 q^{78} + 18464 q^{79} + 71511 q^{80} - 13122 q^{81} + 86040 q^{82} + 122358 q^{83} + 19404 q^{84} - 247272 q^{85} - 258510 q^{86} - 19953 q^{87} - 212565 q^{88} - 29322 q^{89} + 149202 q^{90} - 161875 q^{91} + 333816 q^{92} + 38646 q^{93} - 109938 q^{94} + 61662 q^{95} + 9153 q^{96} - 19582 q^{97} - 462021 q^{98} - 184194 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.19493 5.53379i −0.564790 0.978245i −0.997069 0.0765049i \(-0.975624\pi\)
0.432279 0.901740i \(-0.357709\pi\)
\(3\) 4.50000 7.79423i 0.288675 0.500000i
\(4\) −4.41520 + 7.64735i −0.137975 + 0.238980i
\(5\) −19.3645 33.5404i −0.346403 0.599988i 0.639204 0.769037i \(-0.279264\pi\)
−0.985608 + 0.169049i \(0.945930\pi\)
\(6\) −57.5088 −0.652163
\(7\) −87.5000 + 95.6596i −0.674937 + 0.737876i
\(8\) −148.051 −0.817872
\(9\) −40.5000 70.1481i −0.166667 0.288675i
\(10\) −123.737 + 214.318i −0.391290 + 0.677734i
\(11\) 288.195 499.168i 0.718133 1.24384i −0.243606 0.969874i \(-0.578330\pi\)
0.961739 0.273968i \(-0.0883362\pi\)
\(12\) 39.7368 + 68.8262i 0.0796599 + 0.137975i
\(13\) 391.491 0.642486 0.321243 0.946997i \(-0.395899\pi\)
0.321243 + 0.946997i \(0.395899\pi\)
\(14\) 808.916 + 178.580i 1.10302 + 0.243508i
\(15\) −348.562 −0.399992
\(16\) 614.298 + 1064.00i 0.599901 + 1.03906i
\(17\) 664.850 1151.55i 0.557958 0.966412i −0.439709 0.898140i \(-0.644918\pi\)
0.997667 0.0682711i \(-0.0217483\pi\)
\(18\) −258.790 + 448.237i −0.188263 + 0.326082i
\(19\) −471.237 816.206i −0.299471 0.518699i 0.676544 0.736402i \(-0.263477\pi\)
−0.976015 + 0.217703i \(0.930144\pi\)
\(20\) 341.993 0.191180
\(21\) 351.842 + 1112.46i 0.174100 + 0.550475i
\(22\) −3683.05 −1.62238
\(23\) 816.040 + 1413.42i 0.321656 + 0.557124i 0.980830 0.194866i \(-0.0624272\pi\)
−0.659174 + 0.751991i \(0.729094\pi\)
\(24\) −666.228 + 1153.94i −0.236099 + 0.408936i
\(25\) 812.530 1407.34i 0.260009 0.450350i
\(26\) −1250.79 2166.43i −0.362869 0.628508i
\(27\) −729.000 −0.192450
\(28\) −345.212 1091.50i −0.0832130 0.263105i
\(29\) −1463.54 −0.323155 −0.161577 0.986860i \(-0.551658\pi\)
−0.161577 + 0.986860i \(0.551658\pi\)
\(30\) 1113.63 + 1928.87i 0.225911 + 0.391290i
\(31\) 1956.21 3388.25i 0.365604 0.633245i −0.623269 0.782008i \(-0.714196\pi\)
0.988873 + 0.148763i \(0.0475291\pi\)
\(32\) 1556.47 2695.89i 0.268700 0.465401i
\(33\) −2593.75 4492.51i −0.414614 0.718133i
\(34\) −8496.61 −1.26052
\(35\) 4902.85 + 1082.38i 0.676517 + 0.149351i
\(36\) 715.262 0.0919833
\(37\) 8150.17 + 14116.5i 0.978729 + 1.69521i 0.667038 + 0.745024i \(0.267562\pi\)
0.311691 + 0.950184i \(0.399105\pi\)
\(38\) −3011.14 + 5215.45i −0.338277 + 0.585912i
\(39\) 1761.71 3051.37i 0.185470 0.321243i
\(40\) 2866.93 + 4965.67i 0.283314 + 0.490714i
\(41\) −13103.8 −1.21741 −0.608707 0.793395i \(-0.708312\pi\)
−0.608707 + 0.793395i \(0.708312\pi\)
\(42\) 5032.02 5501.27i 0.440169 0.481215i
\(43\) 14733.5 1.21516 0.607582 0.794257i \(-0.292140\pi\)
0.607582 + 0.794257i \(0.292140\pi\)
\(44\) 2544.88 + 4407.86i 0.198169 + 0.343238i
\(45\) −1568.53 + 2716.77i −0.115468 + 0.199996i
\(46\) 5214.38 9031.58i 0.363336 0.629316i
\(47\) 3407.26 + 5901.55i 0.224989 + 0.389692i 0.956316 0.292335i \(-0.0944322\pi\)
−0.731327 + 0.682027i \(0.761099\pi\)
\(48\) 11057.4 0.692706
\(49\) −1494.50 16740.4i −0.0889213 0.996039i
\(50\) −10383.9 −0.587403
\(51\) −5983.65 10364.0i −0.322137 0.557958i
\(52\) −1728.51 + 2993.87i −0.0886470 + 0.153541i
\(53\) 1005.67 1741.87i 0.0491775 0.0851779i −0.840389 0.541984i \(-0.817673\pi\)
0.889566 + 0.456806i \(0.151007\pi\)
\(54\) 2329.11 + 4034.13i 0.108694 + 0.188263i
\(55\) −22323.0 −0.995054
\(56\) 12954.4 14162.5i 0.552012 0.603488i
\(57\) −8482.26 −0.345800
\(58\) 4675.93 + 8098.94i 0.182515 + 0.316125i
\(59\) −25726.6 + 44559.7i −0.962170 + 1.66653i −0.245135 + 0.969489i \(0.578832\pi\)
−0.717035 + 0.697037i \(0.754501\pi\)
\(60\) 1538.97 2665.57i 0.0551889 0.0955900i
\(61\) −20548.9 35591.8i −0.707073 1.22469i −0.965938 0.258773i \(-0.916682\pi\)
0.258865 0.965913i \(-0.416651\pi\)
\(62\) −24999.8 −0.825958
\(63\) 10254.1 + 2263.74i 0.325496 + 0.0718581i
\(64\) 19423.8 0.592766
\(65\) −7581.04 13130.8i −0.222559 0.385484i
\(66\) −16573.7 + 28706.6i −0.468340 + 0.811188i
\(67\) −25289.1 + 43802.0i −0.688250 + 1.19208i 0.284153 + 0.958779i \(0.408288\pi\)
−0.972404 + 0.233305i \(0.925046\pi\)
\(68\) 5870.89 + 10168.7i 0.153968 + 0.266681i
\(69\) 14688.7 0.371416
\(70\) −9674.63 30589.5i −0.235988 0.746151i
\(71\) 39970.6 0.941012 0.470506 0.882397i \(-0.344071\pi\)
0.470506 + 0.882397i \(0.344071\pi\)
\(72\) 5996.05 + 10385.5i 0.136312 + 0.236099i
\(73\) 27843.3 48226.0i 0.611524 1.05919i −0.379459 0.925208i \(-0.623890\pi\)
0.990984 0.133983i \(-0.0427767\pi\)
\(74\) 52078.5 90202.6i 1.10555 1.91487i
\(75\) −7312.77 12666.1i −0.150117 0.260009i
\(76\) 8322.42 0.165278
\(77\) 22533.2 + 71245.8i 0.433107 + 1.36941i
\(78\) −22514.2 −0.419006
\(79\) 31575.7 + 54690.7i 0.569226 + 0.985929i 0.996643 + 0.0818739i \(0.0260905\pi\)
−0.427416 + 0.904055i \(0.640576\pi\)
\(80\) 23791.2 41207.6i 0.415615 0.719867i
\(81\) −3280.50 + 5681.99i −0.0555556 + 0.0962250i
\(82\) 41865.9 + 72513.8i 0.687583 + 1.19093i
\(83\) 45572.4 0.726116 0.363058 0.931766i \(-0.381733\pi\)
0.363058 + 0.931766i \(0.381733\pi\)
\(84\) −10060.8 2221.08i −0.155574 0.0343453i
\(85\) −51498.1 −0.773114
\(86\) −47072.5 81532.0i −0.686312 1.18873i
\(87\) −6585.95 + 11407.2i −0.0932868 + 0.161577i
\(88\) −42667.5 + 73902.2i −0.587341 + 1.01730i
\(89\) −7843.34 13585.1i −0.104961 0.181797i 0.808762 0.588137i \(-0.200138\pi\)
−0.913722 + 0.406340i \(0.866805\pi\)
\(90\) 20045.4 0.260860
\(91\) −34255.5 + 37449.9i −0.433637 + 0.474075i
\(92\) −14411.9 −0.177522
\(93\) −17605.9 30494.3i −0.211082 0.365604i
\(94\) 21771.9 37710.1i 0.254143 0.440188i
\(95\) −18250.6 + 31610.9i −0.207476 + 0.359358i
\(96\) −14008.3 24263.0i −0.155134 0.268700i
\(97\) 3128.49 0.0337603 0.0168801 0.999858i \(-0.494627\pi\)
0.0168801 + 0.999858i \(0.494627\pi\)
\(98\) −87863.1 + 61754.8i −0.924148 + 0.649539i
\(99\) −46687.6 −0.478755
\(100\) 7174.96 + 12427.4i 0.0717496 + 0.124274i
\(101\) 84505.5 146368.i 0.824292 1.42772i −0.0781663 0.996940i \(-0.524907\pi\)
0.902459 0.430776i \(-0.141760\pi\)
\(102\) −38234.7 + 66224.5i −0.363880 + 0.630258i
\(103\) −56410.1 97705.1i −0.523918 0.907453i −0.999612 0.0278422i \(-0.991136\pi\)
0.475694 0.879611i \(-0.342197\pi\)
\(104\) −57960.5 −0.525471
\(105\) 30499.1 33343.2i 0.269969 0.295144i
\(106\) −12852.2 −0.111100
\(107\) 11154.7 + 19320.6i 0.0941890 + 0.163140i 0.909270 0.416207i \(-0.136641\pi\)
−0.815081 + 0.579347i \(0.803308\pi\)
\(108\) 3218.68 5574.92i 0.0265533 0.0459917i
\(109\) 41909.8 72589.8i 0.337869 0.585207i −0.646162 0.763200i \(-0.723627\pi\)
0.984032 + 0.177993i \(0.0569604\pi\)
\(110\) 71320.6 + 123531.i 0.561996 + 0.973406i
\(111\) 146703. 1.13014
\(112\) −155532. 34336.1i −1.17159 0.258646i
\(113\) −40928.4 −0.301529 −0.150764 0.988570i \(-0.548174\pi\)
−0.150764 + 0.988570i \(0.548174\pi\)
\(114\) 27100.3 + 46939.0i 0.195304 + 0.338277i
\(115\) 31604.4 54740.5i 0.222845 0.385980i
\(116\) 6461.84 11192.2i 0.0445873 0.0772275i
\(117\) −15855.4 27462.3i −0.107081 0.185470i
\(118\) 328779. 2.17369
\(119\) 51982.8 + 164360.i 0.336505 + 1.06397i
\(120\) 51604.8 0.327142
\(121\) −85587.1 148241.i −0.531429 0.920462i
\(122\) −131305. + 227427.i −0.798695 + 1.38338i
\(123\) −58967.2 + 102134.i −0.351437 + 0.608707i
\(124\) 17274.1 + 29919.6i 0.100888 + 0.174744i
\(125\) −183965. −1.05308
\(126\) −20234.0 63976.4i −0.113542 0.358999i
\(127\) 83270.1 0.458120 0.229060 0.973412i \(-0.426435\pi\)
0.229060 + 0.973412i \(0.426435\pi\)
\(128\) −111865. 193756.i −0.603488 1.04527i
\(129\) 66300.7 114836.i 0.350788 0.607582i
\(130\) −48441.9 + 83903.8i −0.251398 + 0.435435i
\(131\) 83437.4 + 144518.i 0.424798 + 0.735772i 0.996402 0.0847580i \(-0.0270117\pi\)
−0.571603 + 0.820530i \(0.693678\pi\)
\(132\) 45807.8 0.228825
\(133\) 119311. + 26339.7i 0.584860 + 0.129117i
\(134\) 323188. 1.55487
\(135\) 14116.7 + 24450.9i 0.0666653 + 0.115468i
\(136\) −98431.5 + 170488.i −0.456338 + 0.790401i
\(137\) −19111.9 + 33102.9i −0.0869969 + 0.150683i −0.906240 0.422763i \(-0.861060\pi\)
0.819244 + 0.573446i \(0.194394\pi\)
\(138\) −46929.5 81284.2i −0.209772 0.363336i
\(139\) 106263. 0.466492 0.233246 0.972418i \(-0.425065\pi\)
0.233246 + 0.972418i \(0.425065\pi\)
\(140\) −29924.4 + 32714.9i −0.129034 + 0.141067i
\(141\) 61330.7 0.259795
\(142\) −127703. 221189.i −0.531474 0.920540i
\(143\) 112826. 195420.i 0.461390 0.799151i
\(144\) 49758.2 86183.7i 0.199967 0.346353i
\(145\) 28340.8 + 49087.8i 0.111942 + 0.193889i
\(146\) −355830. −1.38153
\(147\) −137204. 63683.4i −0.523689 0.243071i
\(148\) −143938. −0.540160
\(149\) −96277.8 166758.i −0.355271 0.615348i 0.631893 0.775056i \(-0.282278\pi\)
−0.987164 + 0.159708i \(0.948945\pi\)
\(150\) −46727.6 + 80934.6i −0.169569 + 0.293701i
\(151\) −70849.3 + 122715.i −0.252868 + 0.437980i −0.964314 0.264761i \(-0.914707\pi\)
0.711447 + 0.702740i \(0.248040\pi\)
\(152\) 69766.9 + 120840.i 0.244929 + 0.424230i
\(153\) −107706. −0.371972
\(154\) 322267. 352319.i 1.09500 1.19711i
\(155\) −151524. −0.506586
\(156\) 15556.6 + 26944.8i 0.0511804 + 0.0886470i
\(157\) −282885. + 489972.i −0.915928 + 1.58643i −0.110392 + 0.993888i \(0.535211\pi\)
−0.805536 + 0.592546i \(0.798123\pi\)
\(158\) 201764. 349466.i 0.642986 1.11368i
\(159\) −9051.04 15676.9i −0.0283926 0.0491775i
\(160\) −120562. −0.372314
\(161\) −206611. 45612.4i −0.628186 0.138682i
\(162\) 41923.9 0.125509
\(163\) 215101. + 372565.i 0.634121 + 1.09833i 0.986701 + 0.162549i \(0.0519714\pi\)
−0.352579 + 0.935782i \(0.614695\pi\)
\(164\) 57856.0 100210.i 0.167973 0.290937i
\(165\) −100454. + 173991.i −0.287247 + 0.497527i
\(166\) −145601. 252188.i −0.410103 0.710319i
\(167\) −240265. −0.666653 −0.333327 0.942811i \(-0.608171\pi\)
−0.333327 + 0.942811i \(0.608171\pi\)
\(168\) −52090.5 164701.i −0.142392 0.450218i
\(169\) −218028. −0.587212
\(170\) 164533. + 284979.i 0.436647 + 0.756295i
\(171\) −38170.2 + 66112.7i −0.0998238 + 0.172900i
\(172\) −65051.3 + 112672.i −0.167662 + 0.290399i
\(173\) 89650.1 + 155279.i 0.227738 + 0.394454i 0.957137 0.289634i \(-0.0935337\pi\)
−0.729399 + 0.684088i \(0.760200\pi\)
\(174\) 84166.7 0.210750
\(175\) 63529.4 + 200869.i 0.156812 + 0.495812i
\(176\) 708151. 1.72323
\(177\) 231539. + 401037.i 0.555509 + 0.962170i
\(178\) −50117.9 + 86806.8i −0.118561 + 0.205354i
\(179\) 287780. 498449.i 0.671317 1.16275i −0.306214 0.951963i \(-0.599062\pi\)
0.977531 0.210792i \(-0.0676043\pi\)
\(180\) −13850.7 23990.2i −0.0318633 0.0551889i
\(181\) 581006. 1.31821 0.659105 0.752051i \(-0.270935\pi\)
0.659105 + 0.752051i \(0.270935\pi\)
\(182\) 316684. + 69912.7i 0.708675 + 0.156451i
\(183\) −369880. −0.816458
\(184\) −120815. 209258.i −0.263073 0.455657i
\(185\) 315648. 546719.i 0.678070 1.17445i
\(186\) −112499. + 194854.i −0.238433 + 0.412979i
\(187\) −383213. 663744.i −0.801376 1.38802i
\(188\) −60174.9 −0.124171
\(189\) 63787.5 69735.8i 0.129892 0.142004i
\(190\) 233237. 0.468721
\(191\) 330280. + 572062.i 0.655087 + 1.13464i 0.981872 + 0.189545i \(0.0607013\pi\)
−0.326785 + 0.945099i \(0.605965\pi\)
\(192\) 87407.0 151393.i 0.171117 0.296383i
\(193\) 278655. 482645.i 0.538485 0.932684i −0.460501 0.887659i \(-0.652330\pi\)
0.998986 0.0450243i \(-0.0143365\pi\)
\(194\) −9995.33 17312.4i −0.0190675 0.0330258i
\(195\) −136459. −0.256989
\(196\) 134618. + 62483.3i 0.250302 + 0.116178i
\(197\) −761400. −1.39781 −0.698904 0.715216i \(-0.746328\pi\)
−0.698904 + 0.715216i \(0.746328\pi\)
\(198\) 149164. + 258359.i 0.270396 + 0.468340i
\(199\) 67929.9 117658.i 0.121598 0.210615i −0.798800 0.601597i \(-0.794531\pi\)
0.920398 + 0.390982i \(0.127865\pi\)
\(200\) −120296. + 208358.i −0.212655 + 0.368328i
\(201\) 227602. + 394218.i 0.397361 + 0.688250i
\(202\) −1.07996e6 −1.86221
\(203\) 128060. 140002.i 0.218109 0.238448i
\(204\) 105676. 0.177787
\(205\) 253750. + 439507.i 0.421716 + 0.730434i
\(206\) −360453. + 624323.i −0.591807 + 1.02504i
\(207\) 66099.2 114487.i 0.107219 0.185708i
\(208\) 240492. + 416545.i 0.385428 + 0.667581i
\(209\) −543232. −0.860240
\(210\) −281957. 62246.3i −0.441199 0.0974014i
\(211\) −991157. −1.53263 −0.766313 0.642467i \(-0.777911\pi\)
−0.766313 + 0.642467i \(0.777911\pi\)
\(212\) 8880.48 + 15381.4i 0.0135705 + 0.0235048i
\(213\) 179868. 311540.i 0.271647 0.470506i
\(214\) 71277.3 123456.i 0.106394 0.184280i
\(215\) −285307. 494167.i −0.420937 0.729084i
\(216\) 107929. 0.157400
\(217\) 152951. + 483602.i 0.220496 + 0.697170i
\(218\) −535596. −0.763301
\(219\) −250590. 434034.i −0.353064 0.611524i
\(220\) 98560.7 170712.i 0.137293 0.237798i
\(221\) 260283. 450823.i 0.358480 0.620906i
\(222\) −468706. 811823.i −0.638291 1.10555i
\(223\) 543344. 0.731666 0.365833 0.930681i \(-0.380784\pi\)
0.365833 + 0.930681i \(0.380784\pi\)
\(224\) 121696. + 384782.i 0.162053 + 0.512383i
\(225\) −131630. −0.173340
\(226\) 130764. + 226489.i 0.170300 + 0.294969i
\(227\) −8.16704 + 14.1457i −1.05196e−5 + 1.82205e-5i −0.866031 0.499991i \(-0.833337\pi\)
0.866020 + 0.500009i \(0.166670\pi\)
\(228\) 37450.9 64866.8i 0.0477117 0.0826391i
\(229\) 38689.5 + 67012.2i 0.0487534 + 0.0844433i 0.889372 0.457184i \(-0.151142\pi\)
−0.840619 + 0.541627i \(0.817808\pi\)
\(230\) −403896. −0.503443
\(231\) 656705. + 144978.i 0.809731 + 0.178760i
\(232\) 216679. 0.264299
\(233\) 51828.6 + 89769.9i 0.0625432 + 0.108328i 0.895602 0.444857i \(-0.146746\pi\)
−0.833058 + 0.553185i \(0.813412\pi\)
\(234\) −101314. + 175481.i −0.120956 + 0.209503i
\(235\) 131960. 228561.i 0.155874 0.269981i
\(236\) −227176. 393480.i −0.265511 0.459878i
\(237\) 568362. 0.657286
\(238\) 743453. 812782.i 0.850768 0.930104i
\(239\) 689109. 0.780356 0.390178 0.920739i \(-0.372413\pi\)
0.390178 + 0.920739i \(0.372413\pi\)
\(240\) −214121. 370868.i −0.239956 0.415615i
\(241\) −110148. + 190782.i −0.122161 + 0.211590i −0.920620 0.390460i \(-0.872316\pi\)
0.798458 + 0.602050i \(0.205649\pi\)
\(242\) −546890. + 947242.i −0.600291 + 1.03973i
\(243\) 29524.5 + 51137.9i 0.0320750 + 0.0555556i
\(244\) 362910. 0.390234
\(245\) −532539. + 374297.i −0.566809 + 0.398383i
\(246\) 753585. 0.793953
\(247\) −184485. 319537.i −0.192406 0.333257i
\(248\) −289618. + 501633.i −0.299017 + 0.517913i
\(249\) 205076. 355201.i 0.209612 0.363058i
\(250\) 587757. + 1.01803e6i 0.594768 + 1.03017i
\(251\) 1.43641e6 1.43912 0.719558 0.694433i \(-0.244345\pi\)
0.719558 + 0.694433i \(0.244345\pi\)
\(252\) −62585.5 + 68421.7i −0.0620829 + 0.0678723i
\(253\) 940714. 0.923966
\(254\) −266042. 460799.i −0.258742 0.448154i
\(255\) −231741. + 401388.i −0.223179 + 0.386557i
\(256\) −404021. + 699785.i −0.385305 + 0.667367i
\(257\) 454598. + 787388.i 0.429334 + 0.743628i 0.996814 0.0797589i \(-0.0254151\pi\)
−0.567480 + 0.823387i \(0.692082\pi\)
\(258\) −847306. −0.792485
\(259\) −2.06352e6 455553.i −1.91143 0.421977i
\(260\) 133887. 0.122830
\(261\) 59273.5 + 102665.i 0.0538592 + 0.0932868i
\(262\) 533154. 923450.i 0.479843 0.831113i
\(263\) −374528. + 648702.i −0.333884 + 0.578304i −0.983270 0.182155i \(-0.941693\pi\)
0.649386 + 0.760459i \(0.275026\pi\)
\(264\) 384007. + 665120.i 0.339101 + 0.587341i
\(265\) −77897.4 −0.0681410
\(266\) −235433. 744396.i −0.204015 0.645060i
\(267\) −141180. −0.121198
\(268\) −223313. 386789.i −0.189923 0.328956i
\(269\) −334972. + 580189.i −0.282246 + 0.488865i −0.971938 0.235238i \(-0.924413\pi\)
0.689691 + 0.724104i \(0.257746\pi\)
\(270\) 90204.1 156238.i 0.0753038 0.130430i
\(271\) −270330. 468225.i −0.223599 0.387285i 0.732299 0.680983i \(-0.238447\pi\)
−0.955898 + 0.293698i \(0.905114\pi\)
\(272\) 1.63367e6 1.33888
\(273\) 137743. + 435519.i 0.111857 + 0.353672i
\(274\) 244246. 0.196540
\(275\) −468334. 811178.i −0.373443 0.646821i
\(276\) −64853.6 + 112330.i −0.0512462 + 0.0887610i
\(277\) 200955. 348064.i 0.157362 0.272558i −0.776555 0.630050i \(-0.783035\pi\)
0.933916 + 0.357491i \(0.116368\pi\)
\(278\) −339502. 588035.i −0.263470 0.456343i
\(279\) −316906. −0.243736
\(280\) −725871. 160247.i −0.553304 0.122150i
\(281\) −429139. −0.324214 −0.162107 0.986773i \(-0.551829\pi\)
−0.162107 + 0.986773i \(0.551829\pi\)
\(282\) −195947. 339391.i −0.146729 0.254143i
\(283\) 170463. 295251.i 0.126522 0.219142i −0.795805 0.605553i \(-0.792952\pi\)
0.922327 + 0.386411i \(0.126285\pi\)
\(284\) −176478. + 305669.i −0.129836 + 0.224883i
\(285\) 164255. + 284498.i 0.119786 + 0.207476i
\(286\) −1.44188e6 −1.04235
\(287\) 1.14658e6 1.25351e6i 0.821678 0.898301i
\(288\) −252149. −0.179133
\(289\) −174123. 301590.i −0.122634 0.212409i
\(290\) 181094. 313664.i 0.126447 0.219013i
\(291\) 14078.2 24384.2i 0.00974575 0.0168801i
\(292\) 245868. + 425855.i 0.168750 + 0.292284i
\(293\) −388847. −0.264612 −0.132306 0.991209i \(-0.542238\pi\)
−0.132306 + 0.991209i \(0.542238\pi\)
\(294\) 85946.9 + 962722.i 0.0579912 + 0.649580i
\(295\) 1.99273e6 1.33319
\(296\) −1.20664e6 2.08996e6i −0.800475 1.38646i
\(297\) −210094. + 363894.i −0.138205 + 0.239378i
\(298\) −615202. + 1.06556e6i −0.401307 + 0.695085i
\(299\) 319472. + 553342.i 0.206659 + 0.357945i
\(300\) 129149. 0.0828493
\(301\) −1.28918e6 + 1.40940e6i −0.820158 + 0.896640i
\(302\) 905435. 0.571268
\(303\) −760549. 1.31731e6i −0.475905 0.824292i
\(304\) 578960. 1.00279e6i 0.359306 0.622336i
\(305\) −795840. + 1.37844e6i −0.489865 + 0.848471i
\(306\) 344113. + 596021.i 0.210086 + 0.363880i
\(307\) −2.35747e6 −1.42758 −0.713789 0.700361i \(-0.753022\pi\)
−0.713789 + 0.700361i \(0.753022\pi\)
\(308\) −644330. 142246.i −0.387018 0.0854402i
\(309\) −1.01538e6 −0.604969
\(310\) 484110. + 838503.i 0.286114 + 0.495565i
\(311\) 718314. 1.24416e6i 0.421127 0.729414i −0.574923 0.818208i \(-0.694968\pi\)
0.996050 + 0.0887939i \(0.0283013\pi\)
\(312\) −260822. + 451758.i −0.151691 + 0.262736i
\(313\) 411400. + 712566.i 0.237358 + 0.411116i 0.959955 0.280153i \(-0.0903853\pi\)
−0.722598 + 0.691269i \(0.757052\pi\)
\(314\) 3.61520e6 2.06923
\(315\) −122639. 387762.i −0.0696388 0.220186i
\(316\) −557652. −0.314156
\(317\) 883467. + 1.53021e6i 0.493790 + 0.855269i 0.999974 0.00715584i \(-0.00227779\pi\)
−0.506184 + 0.862425i \(0.668944\pi\)
\(318\) −57835.0 + 100173.i −0.0320718 + 0.0555499i
\(319\) −421786. + 730555.i −0.232068 + 0.401954i
\(320\) −376132. 651480.i −0.205336 0.355653i
\(321\) 200785. 0.108760
\(322\) 407698. + 1.28907e6i 0.219129 + 0.692845i
\(323\) −1.25321e6 −0.668370
\(324\) −28968.1 50174.3i −0.0153306 0.0265533i
\(325\) 318098. 550962.i 0.167052 0.289343i
\(326\) 1.37446e6 2.38064e6i 0.716291 1.24065i
\(327\) −377188. 653309.i −0.195069 0.337869i
\(328\) 1.94003e6 0.995689
\(329\) −862675. 190448.i −0.439397 0.0970036i
\(330\) 1.28377e6 0.648937
\(331\) 1526.14 + 2643.35i 0.000765638 + 0.00132612i 0.866408 0.499337i \(-0.166423\pi\)
−0.865642 + 0.500663i \(0.833090\pi\)
\(332\) −201211. + 348508.i −0.100186 + 0.173527i
\(333\) 660164. 1.14344e6i 0.326243 0.565069i
\(334\) 767632. + 1.32958e6i 0.376519 + 0.652150i
\(335\) 1.95885e6 0.953649
\(336\) −967520. + 1.05774e6i −0.467532 + 0.511131i
\(337\) 2.02939e6 0.973398 0.486699 0.873570i \(-0.338201\pi\)
0.486699 + 0.873570i \(0.338201\pi\)
\(338\) 696584. + 1.20652e6i 0.331651 + 0.574437i
\(339\) −184178. + 319006.i −0.0870439 + 0.150764i
\(340\) 227374. 393824.i 0.106670 0.184759i
\(341\) −1.12754e6 1.95295e6i −0.525104 0.909507i
\(342\) 487805. 0.225518
\(343\) 1.73215e6 + 1.32182e6i 0.794969 + 0.606650i
\(344\) −2.18130e6 −0.993848
\(345\) −284440. 492665.i −0.128660 0.222845i
\(346\) 572852. 992209.i 0.257248 0.445567i
\(347\) −1.89109e6 + 3.27547e6i −0.843119 + 1.46033i 0.0441252 + 0.999026i \(0.485950\pi\)
−0.887245 + 0.461299i \(0.847383\pi\)
\(348\) −58156.6 100730.i −0.0257425 0.0445873i
\(349\) 291147. 0.127953 0.0639763 0.997951i \(-0.479622\pi\)
0.0639763 + 0.997951i \(0.479622\pi\)
\(350\) 908592. 993320.i 0.396460 0.433430i
\(351\) −285397. −0.123646
\(352\) −897136. 1.55389e6i −0.385924 0.668440i
\(353\) −192538. + 333486.i −0.0822394 + 0.142443i −0.904212 0.427085i \(-0.859541\pi\)
0.821972 + 0.569528i \(0.192874\pi\)
\(354\) 1.47950e6 2.56257e6i 0.627491 1.08685i
\(355\) −774013. 1.34063e6i −0.325970 0.564596i
\(356\) 138520. 0.0579277
\(357\) 1.51498e6 + 334456.i 0.629126 + 0.138889i
\(358\) −3.67775e6 −1.51661
\(359\) 1.61507e6 + 2.79738e6i 0.661385 + 1.14555i 0.980252 + 0.197753i \(0.0633645\pi\)
−0.318866 + 0.947800i \(0.603302\pi\)
\(360\) 232222. 402219.i 0.0944379 0.163571i
\(361\) 793921. 1.37511e6i 0.320634 0.555354i
\(362\) −1.85628e6 3.21517e6i −0.744511 1.28953i
\(363\) −1.54057e6 −0.613641
\(364\) −135148. 427312.i −0.0534632 0.169041i
\(365\) −2.15669e6 −0.847336
\(366\) 1.18174e6 + 2.04684e6i 0.461127 + 0.798695i
\(367\) 239779. 415310.i 0.0929280 0.160956i −0.815814 0.578314i \(-0.803711\pi\)
0.908742 + 0.417358i \(0.137044\pi\)
\(368\) −1.00258e6 + 1.73653e6i −0.385923 + 0.668439i
\(369\) 530705. + 919208.i 0.202902 + 0.351437i
\(370\) −4.03390e6 −1.53187
\(371\) 78630.6 + 248616.i 0.0296590 + 0.0937766i
\(372\) 310934. 0.116496
\(373\) −436333. 755751.i −0.162385 0.281259i 0.773339 0.633993i \(-0.218585\pi\)
−0.935724 + 0.352734i \(0.885252\pi\)
\(374\) −2.44868e6 + 4.24124e6i −0.905217 + 1.56788i
\(375\) −827844. + 1.43387e6i −0.303998 + 0.526540i
\(376\) −504447. 873728.i −0.184012 0.318718i
\(377\) −572965. −0.207622
\(378\) −589700. 130185.i −0.212276 0.0468632i
\(379\) −2.43493e6 −0.870742 −0.435371 0.900251i \(-0.643383\pi\)
−0.435371 + 0.900251i \(0.643383\pi\)
\(380\) −161160. 279137.i −0.0572529 0.0991650i
\(381\) 374715. 649026.i 0.132248 0.229060i
\(382\) 2.11044e6 3.65540e6i 0.739973 1.28167i
\(383\) 1.80584e6 + 3.12781e6i 0.629047 + 1.08954i 0.987743 + 0.156087i \(0.0498882\pi\)
−0.358696 + 0.933454i \(0.616778\pi\)
\(384\) −2.01357e6 −0.696848
\(385\) 1.95327e6 2.13541e6i 0.671598 0.734226i
\(386\) −3.56114e6 −1.21652
\(387\) −596707. 1.03353e6i −0.202527 0.350788i
\(388\) −13812.9 + 23924.7i −0.00465807 + 0.00806802i
\(389\) 87616.2 151756.i 0.0293569 0.0508477i −0.850974 0.525208i \(-0.823987\pi\)
0.880331 + 0.474361i \(0.157321\pi\)
\(390\) 435977. + 755134.i 0.145145 + 0.251398i
\(391\) 2.17018e6 0.717882
\(392\) 221262. + 2.47843e6i 0.0727262 + 0.814632i
\(393\) 1.50187e6 0.490515
\(394\) 2.43262e6 + 4.21343e6i 0.789467 + 1.36740i
\(395\) 1.22290e6 2.11812e6i 0.394364 0.683058i
\(396\) 206135. 357036.i 0.0660562 0.114413i
\(397\) −942577. 1.63259e6i −0.300152 0.519878i 0.676019 0.736885i \(-0.263704\pi\)
−0.976170 + 0.217007i \(0.930371\pi\)
\(398\) −868126. −0.274710
\(399\) 742198. 811409.i 0.233393 0.255157i
\(400\) 1.99654e6 0.623920
\(401\) −669915. 1.16033e6i −0.208046 0.360346i 0.743053 0.669232i \(-0.233377\pi\)
−0.951099 + 0.308887i \(0.900044\pi\)
\(402\) 1.45435e6 2.51900e6i 0.448851 0.777433i
\(403\) 765839. 1.32647e6i 0.234895 0.406851i
\(404\) 746217. + 1.29249e6i 0.227463 + 0.393978i
\(405\) 254101. 0.0769785
\(406\) −1.18388e6 261360.i −0.356446 0.0786909i
\(407\) 9.39535e6 2.81143
\(408\) 885884. + 1.53440e6i 0.263467 + 0.456338i
\(409\) −3.29314e6 + 5.70388e6i −0.973423 + 1.68602i −0.288381 + 0.957516i \(0.593117\pi\)
−0.685043 + 0.728503i \(0.740217\pi\)
\(410\) 1.62143e6 2.80839e6i 0.476362 0.825084i
\(411\) 172008. + 297926.i 0.0502277 + 0.0869969i
\(412\) 996247. 0.289150
\(413\) −2.01149e6 6.35996e6i −0.580286 1.83476i
\(414\) −844730. −0.242224
\(415\) −882487. 1.52851e6i −0.251529 0.435661i
\(416\) 609346. 1.05542e6i 0.172636 0.299014i
\(417\) 478182. 828236.i 0.134665 0.233246i
\(418\) 1.73559e6 + 3.00613e6i 0.485855 + 0.841525i
\(419\) −6.96869e6 −1.93917 −0.969585 0.244754i \(-0.921293\pi\)
−0.969585 + 0.244754i \(0.921293\pi\)
\(420\) 120328. + 380455.i 0.0332845 + 0.105240i
\(421\) 3.84041e6 1.05602 0.528010 0.849238i \(-0.322938\pi\)
0.528010 + 0.849238i \(0.322938\pi\)
\(422\) 3.16668e6 + 5.48485e6i 0.865612 + 1.49928i
\(423\) 275988. 478025.i 0.0749962 0.129897i
\(424\) −148890. + 257886.i −0.0402209 + 0.0696647i
\(425\) −1.08042e6 1.87134e6i −0.290149 0.502552i
\(426\) −2.29866e6 −0.613693
\(427\) 5.20272e6 + 1.14858e6i 1.38090 + 0.304854i
\(428\) −197002. −0.0519829
\(429\) −1.01543e6 1.75878e6i −0.266384 0.461390i
\(430\) −1.82308e6 + 3.15766e6i −0.475481 + 0.823558i
\(431\) −1.51818e6 + 2.62957e6i −0.393668 + 0.681854i −0.992930 0.118699i \(-0.962128\pi\)
0.599262 + 0.800553i \(0.295461\pi\)
\(432\) −447824. 775653.i −0.115451 0.199967i
\(433\) −941529. −0.241332 −0.120666 0.992693i \(-0.538503\pi\)
−0.120666 + 0.992693i \(0.538503\pi\)
\(434\) 2.18749e6 2.39147e6i 0.557469 0.609454i
\(435\) 510135. 0.129259
\(436\) 370080. + 640997.i 0.0932351 + 0.161488i
\(437\) 769096. 1.33211e6i 0.192653 0.333686i
\(438\) −1.60124e6 + 2.77342e6i −0.398814 + 0.690765i
\(439\) −670546. 1.16142e6i −0.166061 0.287626i 0.770971 0.636871i \(-0.219771\pi\)
−0.937031 + 0.349245i \(0.886438\pi\)
\(440\) 3.30494e6 0.813827
\(441\) −1.11378e6 + 782823.i −0.272711 + 0.191676i
\(442\) −3.32635e6 −0.809864
\(443\) 386171. + 668867.i 0.0934910 + 0.161931i 0.908978 0.416844i \(-0.136864\pi\)
−0.815487 + 0.578776i \(0.803531\pi\)
\(444\) −647723. + 1.12189e6i −0.155931 + 0.270080i
\(445\) −303765. + 526137.i −0.0727174 + 0.125950i
\(446\) −1.73595e6 3.00675e6i −0.413238 0.715748i
\(447\) −1.73300e6 −0.410232
\(448\) −1.69958e6 + 1.85807e6i −0.400080 + 0.437388i
\(449\) 2.25684e6 0.528304 0.264152 0.964481i \(-0.414908\pi\)
0.264152 + 0.964481i \(0.414908\pi\)
\(450\) 420548. + 728411.i 0.0979005 + 0.169569i
\(451\) −3.77646e6 + 6.54101e6i −0.874265 + 1.51427i
\(452\) 180707. 312994.i 0.0416034 0.0720593i
\(453\) 637644. + 1.10443e6i 0.145993 + 0.252868i
\(454\) 104.373 2.37655e−5
\(455\) 1.91942e6 + 423742.i 0.434653 + 0.0959561i
\(456\) 1.25580e6 0.282820
\(457\) −2.14235e6 3.71066e6i −0.479844 0.831114i 0.519889 0.854234i \(-0.325973\pi\)
−0.999733 + 0.0231196i \(0.992640\pi\)
\(458\) 247221. 428199.i 0.0550708 0.0953854i
\(459\) −484676. + 839483.i −0.107379 + 0.185986i
\(460\) 279080. + 483381.i 0.0614942 + 0.106511i
\(461\) −3.10462e6 −0.680387 −0.340193 0.940355i \(-0.610493\pi\)
−0.340193 + 0.940355i \(0.610493\pi\)
\(462\) −1.29585e6 4.09726e6i −0.282456 0.893077i
\(463\) −3.53386e6 −0.766121 −0.383060 0.923723i \(-0.625130\pi\)
−0.383060 + 0.923723i \(0.625130\pi\)
\(464\) −899053. 1.55721e6i −0.193861 0.335777i
\(465\) −681859. + 1.18102e6i −0.146239 + 0.253293i
\(466\) 331178. 573617.i 0.0706475 0.122365i
\(467\) −1.36230e6 2.35957e6i −0.289054 0.500657i 0.684530 0.728985i \(-0.260007\pi\)
−0.973584 + 0.228328i \(0.926674\pi\)
\(468\) 280019. 0.0590980
\(469\) −1.97728e6 6.25182e6i −0.415085 1.31242i
\(470\) −1.68641e6 −0.352143
\(471\) 2.54597e6 + 4.40975e6i 0.528812 + 0.915928i
\(472\) 3.80883e6 6.59709e6i 0.786932 1.36301i
\(473\) 4.24612e6 7.35449e6i 0.872649 1.51147i
\(474\) −1.81588e6 3.14520e6i −0.371228 0.642986i
\(475\) −1.53158e6 −0.311461
\(476\) −1.48643e6 328153.i −0.300697 0.0663833i
\(477\) −162919. −0.0327850
\(478\) −2.20166e6 3.81338e6i −0.440737 0.763379i
\(479\) −489342. + 847566.i −0.0974482 + 0.168785i −0.910628 0.413228i \(-0.864401\pi\)
0.813180 + 0.582013i \(0.197735\pi\)
\(480\) −542527. + 939685.i −0.107478 + 0.186157i
\(481\) 3.19072e6 + 5.52649e6i 0.628819 + 1.08915i
\(482\) 1.40766e6 0.275982
\(483\) −1.28526e6 + 1.40512e6i −0.250682 + 0.274059i
\(484\) 1.51154e6 0.293296
\(485\) −60581.8 104931.i −0.0116947 0.0202558i
\(486\) 188658. 326765.i 0.0362313 0.0627544i
\(487\) −1.96372e6 + 3.40126e6i −0.375195 + 0.649857i −0.990356 0.138544i \(-0.955758\pi\)
0.615161 + 0.788401i \(0.289091\pi\)
\(488\) 3.04228e6 + 5.26938e6i 0.578295 + 1.00164i
\(489\) 3.87181e6 0.732220
\(490\) 3.77271e6 + 1.75111e6i 0.709844 + 0.329475i
\(491\) 2.63241e6 0.492777 0.246388 0.969171i \(-0.420756\pi\)
0.246388 + 0.969171i \(0.420756\pi\)
\(492\) −520704. 901886.i −0.0969791 0.167973i
\(493\) −973037. + 1.68535e6i −0.180307 + 0.312301i
\(494\) −1.17883e6 + 2.04180e6i −0.217338 + 0.376440i
\(495\) 904083. + 1.56592e6i 0.165842 + 0.287247i
\(496\) 4.80678e6 0.877305
\(497\) −3.49743e6 + 3.82357e6i −0.635123 + 0.694350i
\(498\) −2.62081e6 −0.473546
\(499\) −1.06272e6 1.84069e6i −0.191059 0.330924i 0.754542 0.656251i \(-0.227859\pi\)
−0.945601 + 0.325327i \(0.894526\pi\)
\(500\) 812244. 1.40685e6i 0.145299 0.251665i
\(501\) −1.08119e6 + 1.87268e6i −0.192446 + 0.333327i
\(502\) −4.58925e6 7.94881e6i −0.812798 1.40781i
\(503\) 2.60929e6 0.459835 0.229917 0.973210i \(-0.426154\pi\)
0.229917 + 0.973210i \(0.426154\pi\)
\(504\) −1.51812e6 335149.i −0.266214 0.0587707i
\(505\) −6.54564e6 −1.14215
\(506\) −3.00552e6 5.20571e6i −0.521847 0.903865i
\(507\) −981124. + 1.69936e6i −0.169513 + 0.293606i
\(508\) −367654. + 636795.i −0.0632092 + 0.109481i
\(509\) 5.00911e6 + 8.67603e6i 0.856970 + 1.48432i 0.874805 + 0.484475i \(0.160989\pi\)
−0.0178348 + 0.999841i \(0.505677\pi\)
\(510\) 2.96159e6 0.504196
\(511\) 2.17699e6 + 6.88326e6i 0.368811 + 1.16612i
\(512\) −1.99607e6 −0.336512
\(513\) 343532. + 595014.i 0.0576333 + 0.0998238i
\(514\) 2.90482e6 5.03130e6i 0.484967 0.839987i
\(515\) −2.18471e6 + 3.78403e6i −0.362974 + 0.628689i
\(516\) 585462. + 1.01405e6i 0.0967998 + 0.167662i
\(517\) 3.92782e6 0.646287
\(518\) 4.07187e6 + 1.28745e7i 0.666760 + 2.10818i
\(519\) 1.61370e6 0.262969
\(520\) 1.12238e6 + 1.94402e6i 0.182025 + 0.315277i
\(521\) 2.08970e6 3.61947e6i 0.337280 0.584186i −0.646640 0.762795i \(-0.723826\pi\)
0.983920 + 0.178609i \(0.0571598\pi\)
\(522\) 378750. 656014.i 0.0608382 0.105375i
\(523\) −1.80263e6 3.12224e6i −0.288172 0.499128i 0.685202 0.728353i \(-0.259714\pi\)
−0.973373 + 0.229225i \(0.926381\pi\)
\(524\) −1.47357e6 −0.234446
\(525\) 1.85150e6 + 408746.i 0.293174 + 0.0647225i
\(526\) 4.78637e6 0.754297
\(527\) −2.60117e6 4.50536e6i −0.407983 0.706648i
\(528\) 3.18668e6 5.51949e6i 0.497455 0.861617i
\(529\) 1.88633e6 3.26722e6i 0.293075 0.507621i
\(530\) 248877. + 431068.i 0.0384853 + 0.0666586i
\(531\) 4.16770e6 0.641446
\(532\) −728212. + 796119.i −0.111552 + 0.121955i
\(533\) −5.13003e6 −0.782172
\(534\) 451061. + 781261.i 0.0684514 + 0.118561i
\(535\) 432013. 748268.i 0.0652547 0.113025i
\(536\) 3.74407e6 6.48492e6i 0.562901 0.974972i
\(537\) −2.59002e6 4.48604e6i −0.387585 0.671317i
\(538\) 4.28086e6 0.637640
\(539\) −8.78699e6 4.07850e6i −1.30277 0.604684i
\(540\) −249313. −0.0367926
\(541\) 3.34083e6 + 5.78648e6i 0.490751 + 0.850005i 0.999943 0.0106475i \(-0.00338926\pi\)
−0.509193 + 0.860653i \(0.670056\pi\)
\(542\) −1.72737e6 + 2.99189e6i −0.252573 + 0.437470i
\(543\) 2.61453e6 4.52850e6i 0.380534 0.659105i
\(544\) −2.06964e6 3.58473e6i −0.299846 0.519349i
\(545\) −3.24625e6 −0.468156
\(546\) 1.96999e6 2.15370e6i 0.282802 0.309174i
\(547\) 8.69076e6 1.24191 0.620954 0.783847i \(-0.286745\pi\)
0.620954 + 0.783847i \(0.286745\pi\)
\(548\) −168766. 292312.i −0.0240068 0.0415810i
\(549\) −1.66446e6 + 2.88293e6i −0.235691 + 0.408229i
\(550\) −2.99259e6 + 5.18332e6i −0.421833 + 0.730636i
\(551\) 689676. + 1.19455e6i 0.0967756 + 0.167620i
\(552\) −2.17467e6 −0.303771
\(553\) −7.99456e6 1.76492e6i −1.11168 0.245421i
\(554\) −2.56815e6 −0.355505
\(555\) −2.84084e6 4.92047e6i −0.391484 0.678070i
\(556\) −469171. + 812628.i −0.0643642 + 0.111482i
\(557\) −3.12371e6 + 5.41042e6i −0.426612 + 0.738913i −0.996569 0.0827611i \(-0.973626\pi\)
0.569958 + 0.821674i \(0.306960\pi\)
\(558\) 1.01249e6 + 1.75369e6i 0.137660 + 0.238433i
\(559\) 5.76803e6 0.780725
\(560\) 1.86017e6 + 5.88152e6i 0.250658 + 0.792537i
\(561\) −6.89783e6 −0.925349
\(562\) 1.37107e6 + 2.37476e6i 0.183113 + 0.317161i
\(563\) 5.95223e6 1.03096e7i 0.791423 1.37078i −0.133663 0.991027i \(-0.542674\pi\)
0.925086 0.379758i \(-0.123993\pi\)
\(564\) −270787. + 469017.i −0.0358451 + 0.0620856i
\(565\) 792560. + 1.37275e6i 0.104451 + 0.180914i
\(566\) −2.17848e6 −0.285833
\(567\) −256493. 810986.i −0.0335057 0.105939i
\(568\) −5.91768e6 −0.769627
\(569\) −10707.2 18545.4i −0.00138642 0.00240135i 0.865331 0.501200i \(-0.167108\pi\)
−0.866718 + 0.498799i \(0.833775\pi\)
\(570\) 1.04957e6 1.81791e6i 0.135308 0.234360i
\(571\) −3.55823e6 + 6.16304e6i −0.456714 + 0.791051i −0.998785 0.0492811i \(-0.984307\pi\)
0.542071 + 0.840333i \(0.317640\pi\)
\(572\) 996297. + 1.72564e6i 0.127321 + 0.220526i
\(573\) 5.94504e6 0.756429
\(574\) −1.05999e7 2.34009e6i −1.34283 0.296451i
\(575\) 2.65223e6 0.334534
\(576\) −786663. 1.36254e6i −0.0987944 0.171117i
\(577\) 5.33259e6 9.23632e6i 0.666805 1.15494i −0.311988 0.950086i \(-0.600995\pi\)
0.978793 0.204854i \(-0.0656719\pi\)
\(578\) −1.11262e6 + 1.92712e6i −0.138525 + 0.239932i
\(579\) −2.50790e6 4.34380e6i −0.310895 0.538485i
\(580\) −500522. −0.0617808
\(581\) −3.98758e6 + 4.35943e6i −0.490083 + 0.535784i
\(582\) −179916. −0.0220172
\(583\) −579659. 1.00400e6i −0.0706319 0.122338i
\(584\) −4.12222e6 + 7.13990e6i −0.500149 + 0.866283i
\(585\) −614065. + 1.06359e6i −0.0741864 + 0.128495i
\(586\) 1.24234e6 + 2.15180e6i 0.149450 + 0.258856i
\(587\) −1.30101e7 −1.55843 −0.779213 0.626759i \(-0.784381\pi\)
−0.779213 + 0.626759i \(0.784381\pi\)
\(588\) 1.09279e6 768071.i 0.130345 0.0916132i
\(589\) −3.68735e6 −0.437952
\(590\) −6.36664e6 1.10273e7i −0.752975 1.30419i
\(591\) −3.42630e6 + 5.93453e6i −0.403512 + 0.698904i
\(592\) −1.00133e7 + 1.73435e7i −1.17428 + 2.03391i
\(593\) −2.13043e6 3.69002e6i −0.248789 0.430915i 0.714401 0.699736i \(-0.246699\pi\)
−0.963190 + 0.268821i \(0.913366\pi\)
\(594\) 2.68495e6 0.312226
\(595\) 4.50608e6 4.92628e6i 0.521803 0.570462i
\(596\) 1.70034e6 0.196074
\(597\) −611369. 1.05892e6i −0.0702049 0.121598i
\(598\) 2.04139e6 3.53578e6i 0.233438 0.404327i
\(599\) 6.89790e6 1.19475e7i 0.785507 1.36054i −0.143189 0.989695i \(-0.545736\pi\)
0.928696 0.370842i \(-0.120931\pi\)
\(600\) 1.08266e6 + 1.87522e6i 0.122776 + 0.212655i
\(601\) 4.99695e6 0.564311 0.282155 0.959369i \(-0.408951\pi\)
0.282155 + 0.959369i \(0.408951\pi\)
\(602\) 1.19182e7 + 2.63111e6i 1.34035 + 0.295902i
\(603\) 4.09683e6 0.458833
\(604\) −625628. 1.08362e6i −0.0697788 0.120860i
\(605\) −3.31471e6 + 5.74125e6i −0.368177 + 0.637702i
\(606\) −4.85981e6 + 8.41743e6i −0.537573 + 0.931104i
\(607\) 1.52473e6 + 2.64091e6i 0.167966 + 0.290926i 0.937705 0.347434i \(-0.112947\pi\)
−0.769739 + 0.638359i \(0.779613\pi\)
\(608\) −2.93387e6 −0.321871
\(609\) −514937. 1.62814e6i −0.0562614 0.177889i
\(610\) 1.01706e7 1.10668
\(611\) 1.33391e6 + 2.31040e6i 0.144552 + 0.250372i
\(612\) 475542. 823663.i 0.0513228 0.0888937i
\(613\) 3.51813e6 6.09357e6i 0.378147 0.654969i −0.612646 0.790357i \(-0.709895\pi\)
0.990793 + 0.135388i \(0.0432282\pi\)
\(614\) 7.53195e6 + 1.30457e7i 0.806281 + 1.39652i
\(615\) 4.56749e6 0.486956
\(616\) −3.33605e6 1.05480e7i −0.354226 1.12000i
\(617\) 1.00066e7 1.05822 0.529108 0.848554i \(-0.322527\pi\)
0.529108 + 0.848554i \(0.322527\pi\)
\(618\) 3.24408e6 + 5.61890e6i 0.341680 + 0.591807i
\(619\) 3.27533e6 5.67304e6i 0.343581 0.595099i −0.641514 0.767111i \(-0.721693\pi\)
0.985095 + 0.172012i \(0.0550268\pi\)
\(620\) 669010. 1.15876e6i 0.0698962 0.121064i
\(621\) −594893. 1.03038e6i −0.0619027 0.107219i
\(622\) −9.17986e6 −0.951393
\(623\) 1.98583e6 + 438403.i 0.204985 + 0.0452536i
\(624\) 4.32886e6 0.445054
\(625\) 1.02325e6 + 1.77232e6i 0.104781 + 0.181485i
\(626\) 2.62879e6 4.55320e6i 0.268114 0.464388i
\(627\) −2.44455e6 + 4.23408e6i −0.248330 + 0.430120i
\(628\) −2.49799e6 4.32665e6i −0.252750 0.437777i
\(629\) 2.16746e7 2.18436
\(630\) −1.75397e6 + 1.91753e6i −0.176064 + 0.192482i
\(631\) 2.22672e6 0.222635 0.111317 0.993785i \(-0.464493\pi\)
0.111317 + 0.993785i \(0.464493\pi\)
\(632\) −4.67480e6 8.09699e6i −0.465554 0.806364i
\(633\) −4.46021e6 + 7.72531e6i −0.442431 + 0.766313i
\(634\) 5.64524e6 9.77784e6i 0.557775 0.966095i
\(635\) −1.61249e6 2.79291e6i −0.158694 0.274867i
\(636\) 159849. 0.0156699
\(637\) −585084. 6.55373e6i −0.0571307 0.639941i
\(638\) 5.39031e6 0.524279
\(639\) −1.61881e6 2.80386e6i −0.156835 0.271647i
\(640\) −4.33242e6 + 7.50397e6i −0.418101 + 0.724171i
\(641\) 7.96698e6 1.37992e7i 0.765859 1.32651i −0.173932 0.984758i \(-0.555647\pi\)
0.939791 0.341749i \(-0.111019\pi\)
\(642\) −641496. 1.11110e6i −0.0614266 0.106394i
\(643\) −1.49933e7 −1.43011 −0.715056 0.699067i \(-0.753599\pi\)
−0.715056 + 0.699067i \(0.753599\pi\)
\(644\) 1.26104e6 1.37864e6i 0.119816 0.130989i
\(645\) −5.13553e6 −0.486056
\(646\) 4.00391e6 + 6.93498e6i 0.377488 + 0.653829i
\(647\) −6.49027e6 + 1.12415e7i −0.609540 + 1.05575i 0.381776 + 0.924255i \(0.375313\pi\)
−0.991316 + 0.131500i \(0.958021\pi\)
\(648\) 485680. 841223.i 0.0454373 0.0786998i
\(649\) 1.48285e7 + 2.56838e7i 1.38193 + 2.39357i
\(650\) −4.06521e6 −0.377398
\(651\) 4.45758e6 + 984079.i 0.412237 + 0.0910075i
\(652\) −3.79885e6 −0.349972
\(653\) 8.27460e6 + 1.43320e7i 0.759389 + 1.31530i 0.943163 + 0.332332i \(0.107835\pi\)
−0.183774 + 0.982969i \(0.558831\pi\)
\(654\) −2.41018e6 + 4.17455e6i −0.220346 + 0.381650i
\(655\) 3.23145e6 5.59704e6i 0.294303 0.509748i
\(656\) −8.04966e6 1.39424e7i −0.730328 1.26497i
\(657\) −4.51062e6 −0.407683
\(658\) 1.70229e6 + 5.38233e6i 0.153274 + 0.484625i
\(659\) 5.86879e6 0.526423 0.263212 0.964738i \(-0.415218\pi\)
0.263212 + 0.964738i \(0.415218\pi\)
\(660\) −887046. 1.53641e6i −0.0792659 0.137293i
\(661\) −3.63843e6 + 6.30195e6i −0.323900 + 0.561011i −0.981289 0.192540i \(-0.938327\pi\)
0.657389 + 0.753551i \(0.271661\pi\)
\(662\) 9751.81 16890.6i 0.000864849 0.00149796i
\(663\) −2.34255e6 4.05741e6i −0.206969 0.358480i
\(664\) −6.74702e6 −0.593870
\(665\) −1.42696e6 4.51179e6i −0.125129 0.395635i
\(666\) −8.43672e6 −0.737035
\(667\) −1.19431e6 2.06861e6i −0.103945 0.180038i
\(668\) 1.06082e6 1.83739e6i 0.0919815 0.159317i
\(669\) 2.44505e6 4.23495e6i 0.211214 0.365833i
\(670\) −6.25838e6 1.08398e7i −0.538611 0.932902i
\(671\) −2.36884e7 −2.03109
\(672\) 3.54671e6 + 782991.i 0.302972 + 0.0668857i
\(673\) −1.82417e7 −1.55248 −0.776241 0.630437i \(-0.782876\pi\)
−0.776241 + 0.630437i \(0.782876\pi\)
\(674\) −6.48376e6 1.12302e7i −0.549765 0.952222i
\(675\) −592334. + 1.02595e6i −0.0500388 + 0.0866698i
\(676\) 962636. 1.66733e6i 0.0810205 0.140332i
\(677\) 3.88203e6 + 6.72387e6i 0.325527 + 0.563829i 0.981619 0.190852i \(-0.0611250\pi\)
−0.656092 + 0.754681i \(0.727792\pi\)
\(678\) 2.35374e6 0.196646
\(679\) −273743. + 299270.i −0.0227860 + 0.0249109i
\(680\) 7.62432e6 0.632308
\(681\) 73.5034 + 127.312i 6.07351e−6 + 1.05196e-5i
\(682\) −7.20482e6 + 1.24791e7i −0.593147 + 1.02736i
\(683\) −4.28162e6 + 7.41598e6i −0.351201 + 0.608299i −0.986460 0.164001i \(-0.947560\pi\)
0.635259 + 0.772299i \(0.280893\pi\)
\(684\) −337058. 583801.i −0.0275464 0.0477117i
\(685\) 1.48038e6 0.120544
\(686\) 1.78059e6 1.38085e7i 0.144462 1.12030i
\(687\) 696411. 0.0562955
\(688\) 9.05076e6 + 1.56764e7i 0.728978 + 1.26263i
\(689\) 393712. 681928.i 0.0315959 0.0547256i
\(690\) −1.81753e6 + 3.14806e6i −0.145332 + 0.251722i
\(691\) −8.22547e6 1.42469e7i −0.655338 1.13508i −0.981809 0.189872i \(-0.939193\pi\)
0.326471 0.945207i \(-0.394140\pi\)
\(692\) −1.58329e6 −0.125689
\(693\) 4.08516e6 4.46611e6i 0.323129 0.353262i
\(694\) 2.41677e7 1.90474
\(695\) −2.05773e6 3.56409e6i −0.161594 0.279890i
\(696\) 975054. 1.68884e6i 0.0762967 0.132150i
\(697\) −8.71208e6 + 1.50898e7i −0.679266 + 1.17652i
\(698\) −930197. 1.61115e6i −0.0722664 0.125169i
\(699\) 932916. 0.0722187
\(700\) −1.81661e6 401044.i −0.140125 0.0309347i
\(701\) −1.66928e7 −1.28302 −0.641512 0.767113i \(-0.721693\pi\)
−0.641512 + 0.767113i \(0.721693\pi\)
\(702\) 911825. + 1.57933e6i 0.0698343 + 0.120956i
\(703\) 7.68132e6 1.33044e7i 0.586202 1.01533i
\(704\) 5.59783e6 9.69573e6i 0.425685 0.737308i
\(705\) −1.18764e6 2.05705e6i −0.0899937 0.155874i
\(706\) 2.46059e6 0.185792
\(707\) 6.60725e6 + 2.08909e7i 0.497132 + 1.57184i
\(708\) −4.08916e6 −0.306585
\(709\) −2.80890e6 4.86515e6i −0.209855 0.363480i 0.741813 0.670606i \(-0.233966\pi\)
−0.951669 + 0.307126i \(0.900633\pi\)
\(710\) −4.94584e6 + 8.56644e6i −0.368209 + 0.637756i
\(711\) 2.55763e6 4.42994e6i 0.189742 0.328643i
\(712\) 1.16121e6 + 2.01128e6i 0.0858443 + 0.148687i
\(713\) 6.38537e6 0.470395
\(714\) −2.98947e6 9.45216e6i −0.219456 0.693882i
\(715\) −8.73927e6 −0.639308
\(716\) 2.54121e6 + 4.40150e6i 0.185250 + 0.320862i
\(717\) 3.10099e6 5.37107e6i 0.225269 0.390178i
\(718\) 1.03201e7 1.78749e7i 0.747087 1.29399i
\(719\) −5.18592e6 8.98227e6i −0.374113 0.647983i 0.616081 0.787683i \(-0.288720\pi\)
−0.990194 + 0.139700i \(0.955386\pi\)
\(720\) −3.85418e6 −0.277077
\(721\) 1.42823e7 + 3.15303e6i 1.02320 + 0.225887i
\(722\) −1.01461e7 −0.724363
\(723\) 991332. + 1.71704e6i 0.0705299 + 0.122161i
\(724\) −2.56526e6 + 4.44316e6i −0.181880 + 0.315025i
\(725\) −1.18917e6 + 2.05971e6i −0.0840233 + 0.145533i
\(726\) 4.92201e6 + 8.52518e6i 0.346578 + 0.600291i
\(727\) 1.15369e7 0.809565 0.404783 0.914413i \(-0.367347\pi\)
0.404783 + 0.914413i \(0.367347\pi\)
\(728\) 5.07155e6 5.54448e6i 0.354660 0.387733i
\(729\) 531441. 0.0370370
\(730\) 6.89049e6 + 1.19347e7i 0.478567 + 0.828902i
\(731\) 9.79557e6 1.69664e7i 0.678010 1.17435i
\(732\) 1.63310e6 2.82860e6i 0.112651 0.195117i
\(733\) −7.47349e6 1.29445e7i −0.513764 0.889865i −0.999873 0.0159667i \(-0.994917\pi\)
0.486109 0.873898i \(-0.338416\pi\)
\(734\) −3.06432e6 −0.209939
\(735\) 520925. + 5.83507e6i 0.0355678 + 0.398408i
\(736\) 5.08058e6 0.345715
\(737\) 1.45764e7 + 2.52470e7i 0.988510 + 1.71215i
\(738\) 3.39113e6 5.87362e6i 0.229194 0.396976i
\(739\) −4.50682e6 + 7.80604e6i −0.303570 + 0.525799i −0.976942 0.213505i \(-0.931512\pi\)
0.673372 + 0.739304i \(0.264845\pi\)
\(740\) 2.78730e6 + 4.82775e6i 0.187113 + 0.324090i
\(741\) −3.32073e6 −0.222171
\(742\) 1.12457e6 1.22944e6i 0.0749853 0.0819779i
\(743\) −2.10239e7 −1.39714 −0.698571 0.715541i \(-0.746180\pi\)
−0.698571 + 0.715541i \(0.746180\pi\)
\(744\) 2.60656e6 + 4.51470e6i 0.172638 + 0.299017i
\(745\) −3.72875e6 + 6.45838e6i −0.246134 + 0.426317i
\(746\) −2.78811e6 + 4.82915e6i −0.183427 + 0.317705i
\(747\) −1.84568e6 3.19681e6i −0.121019 0.209612i
\(748\) 6.76785e6 0.442279
\(749\) −2.82424e6 623493.i −0.183949 0.0406094i
\(750\) 1.05796e7 0.686779
\(751\) −2.02110e6 3.50064e6i −0.130764 0.226489i 0.793207 0.608952i \(-0.208410\pi\)
−0.923971 + 0.382462i \(0.875076\pi\)
\(752\) −4.18615e6 + 7.25062e6i −0.269942 + 0.467553i
\(753\) 6.46387e6 1.11957e7i 0.415437 0.719558i
\(754\) 1.83058e6 + 3.17066e6i 0.117263 + 0.203106i
\(755\) 5.48786e6 0.350377
\(756\) 251660. + 795703.i 0.0160143 + 0.0506345i
\(757\) −1.82059e7 −1.15471 −0.577353 0.816495i \(-0.695914\pi\)
−0.577353 + 0.816495i \(0.695914\pi\)
\(758\) 7.77945e6 + 1.34744e7i 0.491786 + 0.851798i
\(759\) 4.23321e6 7.33214e6i 0.266726 0.461983i
\(760\) 2.70201e6 4.68001e6i 0.169689 0.293909i
\(761\) 9.45999e6 + 1.63852e7i 0.592146 + 1.02563i 0.993943 + 0.109898i \(0.0350526\pi\)
−0.401797 + 0.915729i \(0.631614\pi\)
\(762\) −4.78876e6 −0.298769
\(763\) 3.27681e6 + 1.03607e7i 0.203770 + 0.644283i
\(764\) −5.83301e6 −0.361542
\(765\) 2.08567e6 + 3.61249e6i 0.128852 + 0.223179i
\(766\) 1.15391e7 1.99863e7i 0.710559 1.23072i
\(767\) −1.00717e7 + 1.74447e7i