Properties

Label 80.6.l.a.21.19
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 21.19
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.350398 + 5.64599i) q^{2} +(-18.9032 + 18.9032i) q^{3} +(-31.7544 - 3.95669i) q^{4} +(17.6777 + 17.6777i) q^{5} +(-100.104 - 113.351i) q^{6} -174.451i q^{7} +(33.4661 - 177.899i) q^{8} -471.664i q^{9} +O(q^{10})\) \(q+(-0.350398 + 5.64599i) q^{2} +(-18.9032 + 18.9032i) q^{3} +(-31.7544 - 3.95669i) q^{4} +(17.6777 + 17.6777i) q^{5} +(-100.104 - 113.351i) q^{6} -174.451i q^{7} +(33.4661 - 177.899i) q^{8} -471.664i q^{9} +(-106.002 + 93.6138i) q^{10} +(189.274 + 189.274i) q^{11} +(675.056 - 525.467i) q^{12} +(-782.038 + 782.038i) q^{13} +(984.949 + 61.1273i) q^{14} -668.330 q^{15} +(992.689 + 251.285i) q^{16} -923.717 q^{17} +(2663.01 + 165.270i) q^{18} +(898.863 - 898.863i) q^{19} +(-491.399 - 631.290i) q^{20} +(3297.69 + 3297.69i) q^{21} +(-1134.96 + 1002.32i) q^{22} -3820.93i q^{23} +(2730.25 + 3995.48i) q^{24} +625.000i q^{25} +(-4141.36 - 4689.41i) q^{26} +(4322.49 + 4322.49i) q^{27} +(-690.248 + 5539.59i) q^{28} +(978.529 - 978.529i) q^{29} +(234.182 - 3773.39i) q^{30} +4974.58 q^{31} +(-1766.59 + 5516.67i) q^{32} -7155.78 q^{33} +(323.669 - 5215.30i) q^{34} +(3083.89 - 3083.89i) q^{35} +(-1866.23 + 14977.4i) q^{36} +(-5788.44 - 5788.44i) q^{37} +(4760.01 + 5389.93i) q^{38} -29566.1i q^{39} +(3736.44 - 2553.23i) q^{40} -639.645i q^{41} +(-19774.2 + 17463.2i) q^{42} +(8062.21 + 8062.21i) q^{43} +(-5261.39 - 6759.19i) q^{44} +(8337.92 - 8337.92i) q^{45} +(21573.0 + 1338.85i) q^{46} +22043.6 q^{47} +(-23515.1 + 14014.9i) q^{48} -13626.1 q^{49} +(-3528.74 - 218.999i) q^{50} +(17461.2 - 17461.2i) q^{51} +(27927.5 - 21738.9i) q^{52} +(-14377.5 - 14377.5i) q^{53} +(-25919.3 + 22890.2i) q^{54} +6691.84i q^{55} +(-31034.6 - 5838.20i) q^{56} +33982.8i q^{57} +(5181.89 + 5867.64i) q^{58} +(-28515.2 - 28515.2i) q^{59} +(21222.4 + 2644.37i) q^{60} +(19210.1 - 19210.1i) q^{61} +(-1743.08 + 28086.4i) q^{62} -82282.3 q^{63} +(-30528.0 - 11907.2i) q^{64} -27649.2 q^{65} +(2507.37 - 40401.5i) q^{66} +(-25147.9 + 25147.9i) q^{67} +(29332.1 + 3654.86i) q^{68} +(72228.0 + 72228.0i) q^{69} +(16331.0 + 18492.2i) q^{70} -52863.6i q^{71} +(-83908.5 - 15784.8i) q^{72} -20764.0i q^{73} +(34709.7 - 30653.2i) q^{74} +(-11814.5 - 11814.5i) q^{75} +(-32099.4 + 24986.4i) q^{76} +(33019.0 - 33019.0i) q^{77} +(166930. + 10359.9i) q^{78} -51350.5 q^{79} +(13106.3 + 21990.6i) q^{80} -48803.7 q^{81} +(3611.43 + 224.130i) q^{82} +(18480.4 - 18480.4i) q^{83} +(-91668.3 - 117764. i) q^{84} +(-16329.2 - 16329.2i) q^{85} +(-48344.1 + 42694.2i) q^{86} +36994.7i q^{87} +(40005.9 - 27337.4i) q^{88} +53694.4i q^{89} +(44154.2 + 49997.4i) q^{90} +(136427. + 136427. i) q^{91} +(-15118.2 + 121332. i) q^{92} +(-94035.5 + 94035.5i) q^{93} +(-7724.04 + 124458. i) q^{94} +31779.6 q^{95} +(-70888.6 - 137677. i) q^{96} +52155.5 q^{97} +(4774.58 - 76933.1i) q^{98} +(89273.7 - 89273.7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.350398 + 5.64599i −0.0619422 + 0.998080i
\(3\) −18.9032 + 18.9032i −1.21264 + 1.21264i −0.242488 + 0.970154i \(0.577964\pi\)
−0.970154 + 0.242488i \(0.922036\pi\)
\(4\) −31.7544 3.95669i −0.992326 0.123647i
\(5\) 17.6777 + 17.6777i 0.316228 + 0.316228i
\(6\) −100.104 113.351i −1.13520 1.28543i
\(7\) 174.451i 1.34564i −0.739807 0.672819i \(-0.765083\pi\)
0.739807 0.672819i \(-0.234917\pi\)
\(8\) 33.4661 177.899i 0.184876 0.982762i
\(9\) 471.664i 1.94100i
\(10\) −106.002 + 93.6138i −0.335208 + 0.296033i
\(11\) 189.274 + 189.274i 0.471638 + 0.471638i 0.902444 0.430806i \(-0.141771\pi\)
−0.430806 + 0.902444i \(0.641771\pi\)
\(12\) 675.056 525.467i 1.35328 1.05340i
\(13\) −782.038 + 782.038i −1.28342 + 1.28342i −0.344715 + 0.938707i \(0.612024\pi\)
−0.938707 + 0.344715i \(0.887976\pi\)
\(14\) 984.949 + 61.1273i 1.34305 + 0.0833518i
\(15\) −668.330 −0.766943
\(16\) 992.689 + 251.285i 0.969423 + 0.245395i
\(17\) −923.717 −0.775205 −0.387603 0.921827i \(-0.626697\pi\)
−0.387603 + 0.921827i \(0.626697\pi\)
\(18\) 2663.01 + 165.270i 1.93728 + 0.120230i
\(19\) 898.863 898.863i 0.571228 0.571228i −0.361244 0.932471i \(-0.617648\pi\)
0.932471 + 0.361244i \(0.117648\pi\)
\(20\) −491.399 631.290i −0.274701 0.352902i
\(21\) 3297.69 + 3297.69i 1.63178 + 1.63178i
\(22\) −1134.96 + 1002.32i −0.499947 + 0.441518i
\(23\) 3820.93i 1.50609i −0.657971 0.753043i \(-0.728585\pi\)
0.657971 0.753043i \(-0.271415\pi\)
\(24\) 2730.25 + 3995.48i 0.967550 + 1.41593i
\(25\) 625.000i 0.200000i
\(26\) −4141.36 4689.41i −1.20146 1.36046i
\(27\) 4322.49 + 4322.49i 1.14110 + 1.14110i
\(28\) −690.248 + 5539.59i −0.166384 + 1.33531i
\(29\) 978.529 978.529i 0.216062 0.216062i −0.590775 0.806837i \(-0.701178\pi\)
0.806837 + 0.590775i \(0.201178\pi\)
\(30\) 234.182 3773.39i 0.0475061 0.765470i
\(31\) 4974.58 0.929719 0.464860 0.885384i \(-0.346105\pi\)
0.464860 + 0.885384i \(0.346105\pi\)
\(32\) −1766.59 + 5516.67i −0.304972 + 0.952361i
\(33\) −7155.78 −1.14386
\(34\) 323.669 5215.30i 0.0480179 0.773717i
\(35\) 3083.89 3083.89i 0.425528 0.425528i
\(36\) −1866.23 + 14977.4i −0.239998 + 1.92611i
\(37\) −5788.44 5788.44i −0.695116 0.695116i 0.268237 0.963353i \(-0.413559\pi\)
−0.963353 + 0.268237i \(0.913559\pi\)
\(38\) 4760.01 + 5389.93i 0.534748 + 0.605514i
\(39\) 29566.1i 3.11267i
\(40\) 3736.44 2553.23i 0.369240 0.252314i
\(41\) 639.645i 0.0594264i −0.999558 0.0297132i \(-0.990541\pi\)
0.999558 0.0297132i \(-0.00945940\pi\)
\(42\) −19774.2 + 17463.2i −1.72972 + 1.52757i
\(43\) 8062.21 + 8062.21i 0.664941 + 0.664941i 0.956540 0.291600i \(-0.0941875\pi\)
−0.291600 + 0.956540i \(0.594188\pi\)
\(44\) −5261.39 6759.19i −0.409703 0.526336i
\(45\) 8337.92 8337.92i 0.613800 0.613800i
\(46\) 21573.0 + 1338.85i 1.50319 + 0.0932903i
\(47\) 22043.6 1.45559 0.727794 0.685796i \(-0.240546\pi\)
0.727794 + 0.685796i \(0.240546\pi\)
\(48\) −23515.1 + 14014.9i −1.47314 + 0.877987i
\(49\) −13626.1 −0.810743
\(50\) −3528.74 218.999i −0.199616 0.0123884i
\(51\) 17461.2 17461.2i 0.940047 0.940047i
\(52\) 27927.5 21738.9i 1.43226 1.11488i
\(53\) −14377.5 14377.5i −0.703063 0.703063i 0.262003 0.965067i \(-0.415617\pi\)
−0.965067 + 0.262003i \(0.915617\pi\)
\(54\) −25919.3 + 22890.2i −1.20959 + 1.06823i
\(55\) 6691.84i 0.298290i
\(56\) −31034.6 5838.20i −1.32244 0.248776i
\(57\) 33982.8i 1.38539i
\(58\) 5181.89 + 5867.64i 0.202264 + 0.229031i
\(59\) −28515.2 28515.2i −1.06646 1.06646i −0.997628 0.0688356i \(-0.978072\pi\)
−0.0688356 0.997628i \(-0.521928\pi\)
\(60\) 21222.4 + 2644.37i 0.761057 + 0.0948298i
\(61\) 19210.1 19210.1i 0.661007 0.661007i −0.294611 0.955617i \(-0.595190\pi\)
0.955617 + 0.294611i \(0.0951899\pi\)
\(62\) −1743.08 + 28086.4i −0.0575889 + 0.927934i
\(63\) −82282.3 −2.61189
\(64\) −30528.0 11907.2i −0.931642 0.363378i
\(65\) −27649.2 −0.811708
\(66\) 2507.37 40401.5i 0.0708531 1.14166i
\(67\) −25147.9 + 25147.9i −0.684407 + 0.684407i −0.960990 0.276583i \(-0.910798\pi\)
0.276583 + 0.960990i \(0.410798\pi\)
\(68\) 29332.1 + 3654.86i 0.769257 + 0.0958514i
\(69\) 72228.0 + 72228.0i 1.82634 + 1.82634i
\(70\) 16331.0 + 18492.2i 0.398353 + 0.451069i
\(71\) 52863.6i 1.24454i −0.782801 0.622272i \(-0.786210\pi\)
0.782801 0.622272i \(-0.213790\pi\)
\(72\) −83908.5 15784.8i −1.90755 0.358845i
\(73\) 20764.0i 0.456040i −0.973656 0.228020i \(-0.926775\pi\)
0.973656 0.228020i \(-0.0732252\pi\)
\(74\) 34709.7 30653.2i 0.736838 0.650724i
\(75\) −11814.5 11814.5i −0.242529 0.242529i
\(76\) −32099.4 + 24986.4i −0.637475 + 0.496214i
\(77\) 33019.0 33019.0i 0.634655 0.634655i
\(78\) 166930. + 10359.9i 3.10669 + 0.192805i
\(79\) −51350.5 −0.925714 −0.462857 0.886433i \(-0.653176\pi\)
−0.462857 + 0.886433i \(0.653176\pi\)
\(80\) 13106.3 + 21990.6i 0.228958 + 0.384159i
\(81\) −48803.7 −0.826494
\(82\) 3611.43 + 224.130i 0.0593123 + 0.00368100i
\(83\) 18480.4 18480.4i 0.294454 0.294454i −0.544383 0.838837i \(-0.683236\pi\)
0.838837 + 0.544383i \(0.183236\pi\)
\(84\) −91668.3 117764.i −1.41749 1.82102i
\(85\) −16329.2 16329.2i −0.245141 0.245141i
\(86\) −48344.1 + 42694.2i −0.704852 + 0.622476i
\(87\) 36994.7i 0.524012i
\(88\) 40005.9 27337.4i 0.550703 0.376314i
\(89\) 53694.4i 0.718545i 0.933233 + 0.359273i \(0.116975\pi\)
−0.933233 + 0.359273i \(0.883025\pi\)
\(90\) 44154.2 + 49997.4i 0.574601 + 0.650641i
\(91\) 136427. + 136427.i 1.72702 + 1.72702i
\(92\) −15118.2 + 121332.i −0.186222 + 1.49453i
\(93\) −94035.5 + 94035.5i −1.12742 + 1.12742i
\(94\) −7724.04 + 124458.i −0.0901623 + 1.45279i
\(95\) 31779.6 0.361276
\(96\) −70888.6 137677.i −0.785051 1.52470i
\(97\) 52155.5 0.562821 0.281411 0.959587i \(-0.409198\pi\)
0.281411 + 0.959587i \(0.409198\pi\)
\(98\) 4774.58 76933.1i 0.0502192 0.809186i
\(99\) 89273.7 89273.7i 0.915452 0.915452i
\(100\) 2472.93 19846.5i 0.0247293 0.198465i
\(101\) 5024.10 + 5024.10i 0.0490066 + 0.0490066i 0.731185 0.682179i \(-0.238967\pi\)
−0.682179 + 0.731185i \(0.738967\pi\)
\(102\) 92467.6 + 104704.i 0.880013 + 0.996470i
\(103\) 129174.i 1.19973i −0.800102 0.599864i \(-0.795222\pi\)
0.800102 0.599864i \(-0.204778\pi\)
\(104\) 112952. + 165296.i 1.02402 + 1.49857i
\(105\) 116591.i 1.03203i
\(106\) 86213.3 76137.5i 0.745263 0.658164i
\(107\) −137173. 137173.i −1.15827 1.15827i −0.984847 0.173425i \(-0.944516\pi\)
−0.173425 0.984847i \(-0.555484\pi\)
\(108\) −120156. 154361.i −0.991253 1.27344i
\(109\) 120643. 120643.i 0.972605 0.972605i −0.0270299 0.999635i \(-0.508605\pi\)
0.999635 + 0.0270299i \(0.00860494\pi\)
\(110\) −37782.1 2344.81i −0.297717 0.0184768i
\(111\) 218840. 1.68585
\(112\) 43836.9 173176.i 0.330213 1.30449i
\(113\) −97424.5 −0.717748 −0.358874 0.933386i \(-0.616839\pi\)
−0.358874 + 0.933386i \(0.616839\pi\)
\(114\) −191867. 11907.5i −1.38273 0.0858141i
\(115\) 67545.2 67545.2i 0.476266 0.476266i
\(116\) −34944.4 + 27200.9i −0.241120 + 0.187689i
\(117\) 368859. + 368859.i 2.49113 + 2.49113i
\(118\) 170988. 151005.i 1.13047 0.998357i
\(119\) 161143.i 1.04315i
\(120\) −22366.4 + 118895.i −0.141789 + 0.753722i
\(121\) 89401.8i 0.555115i
\(122\) 101729. + 115191.i 0.618793 + 0.700682i
\(123\) 12091.4 + 12091.4i 0.0720630 + 0.0720630i
\(124\) −157965. 19682.9i −0.922585 0.114957i
\(125\) −11048.5 + 11048.5i −0.0632456 + 0.0632456i
\(126\) 28831.6 464565.i 0.161786 2.60687i
\(127\) −64797.8 −0.356493 −0.178247 0.983986i \(-0.557042\pi\)
−0.178247 + 0.983986i \(0.557042\pi\)
\(128\) 77924.8 168189.i 0.420388 0.907344i
\(129\) −304804. −1.61267
\(130\) 9688.24 156107.i 0.0502790 0.810149i
\(131\) −50841.6 + 50841.6i −0.258846 + 0.258846i −0.824585 0.565739i \(-0.808591\pi\)
0.565739 + 0.824585i \(0.308591\pi\)
\(132\) 227228. + 28313.2i 1.13508 + 0.141434i
\(133\) −156807. 156807.i −0.768666 0.768666i
\(134\) −133173. 150797.i −0.640700 0.725487i
\(135\) 152823.i 0.721696i
\(136\) −30913.2 + 164328.i −0.143317 + 0.761842i
\(137\) 130279.i 0.593025i 0.955029 + 0.296512i \(0.0958236\pi\)
−0.955029 + 0.296512i \(0.904176\pi\)
\(138\) −433107. + 382490.i −1.93597 + 1.70971i
\(139\) −291251. 291251.i −1.27859 1.27859i −0.941458 0.337131i \(-0.890544\pi\)
−0.337131 0.941458i \(-0.609456\pi\)
\(140\) −110129. + 85725.1i −0.474878 + 0.369648i
\(141\) −416696. + 416696.i −1.76511 + 1.76511i
\(142\) 298467. + 18523.3i 1.24215 + 0.0770898i
\(143\) −296039. −1.21062
\(144\) 118522. 468216.i 0.476314 1.88165i
\(145\) 34596.2 0.136650
\(146\) 117233. + 7275.65i 0.455164 + 0.0282481i
\(147\) 257578. 257578.i 0.983141 0.983141i
\(148\) 160906. + 206712.i 0.603833 + 0.775730i
\(149\) 44747.5 + 44747.5i 0.165121 + 0.165121i 0.784831 0.619710i \(-0.212750\pi\)
−0.619710 + 0.784831i \(0.712750\pi\)
\(150\) 70844.5 62564.9i 0.257086 0.227040i
\(151\) 235506.i 0.840544i 0.907398 + 0.420272i \(0.138065\pi\)
−0.907398 + 0.420272i \(0.861935\pi\)
\(152\) −129825. 189988.i −0.455775 0.666987i
\(153\) 435684.i 1.50468i
\(154\) 174855. + 197995.i 0.594124 + 0.672748i
\(155\) 87938.9 + 87938.9i 0.294003 + 0.294003i
\(156\) −116984. + 938855.i −0.384870 + 3.08878i
\(157\) −310538. + 310538.i −1.00546 + 1.00546i −0.00547617 + 0.999985i \(0.501743\pi\)
−0.999985 + 0.00547617i \(0.998257\pi\)
\(158\) 17993.1 289924.i 0.0573408 0.923936i
\(159\) 543563. 1.70513
\(160\) −128751. + 66292.6i −0.397604 + 0.204722i
\(161\) −666566. −2.02665
\(162\) 17100.7 275545.i 0.0511949 0.824907i
\(163\) 191250. 191250.i 0.563810 0.563810i −0.366578 0.930387i \(-0.619471\pi\)
0.930387 + 0.366578i \(0.119471\pi\)
\(164\) −2530.88 + 20311.6i −0.00734787 + 0.0589704i
\(165\) −126497. 126497.i −0.361719 0.361719i
\(166\) 97864.9 + 110816.i 0.275649 + 0.312128i
\(167\) 494594.i 1.37233i 0.727447 + 0.686164i \(0.240707\pi\)
−0.727447 + 0.686164i \(0.759293\pi\)
\(168\) 697016. 476294.i 1.90533 1.30197i
\(169\) 851875.i 2.29435i
\(170\) 97916.0 86472.6i 0.259855 0.229486i
\(171\) −423961. 423961.i −1.10876 1.10876i
\(172\) −224111. 287911.i −0.577620 0.742056i
\(173\) −1961.84 + 1961.84i −0.00498366 + 0.00498366i −0.709594 0.704611i \(-0.751122\pi\)
0.704611 + 0.709594i \(0.251122\pi\)
\(174\) −208872. 12962.9i −0.523006 0.0324585i
\(175\) 109032. 0.269128
\(176\) 140328. + 235452.i 0.341479 + 0.572955i
\(177\) 1.07806e6 2.58648
\(178\) −303158. 18814.4i −0.717166 0.0445083i
\(179\) 21400.2 21400.2i 0.0499211 0.0499211i −0.681706 0.731627i \(-0.738761\pi\)
0.731627 + 0.681706i \(0.238761\pi\)
\(180\) −297757. + 231776.i −0.684984 + 0.533195i
\(181\) 50340.2 + 50340.2i 0.114214 + 0.114214i 0.761904 0.647690i \(-0.224265\pi\)
−0.647690 + 0.761904i \(0.724265\pi\)
\(182\) −818072. + 722464.i −1.83068 + 1.61673i
\(183\) 726267.i 1.60313i
\(184\) −679740. 127872.i −1.48012 0.278439i
\(185\) 204652.i 0.439630i
\(186\) −497974. 563874.i −1.05542 1.19509i
\(187\) −174836. 174836.i −0.365616 0.365616i
\(188\) −699983. 87219.8i −1.44442 0.179978i
\(189\) 754063. 754063.i 1.53551 1.53551i
\(190\) −11135.5 + 179427.i −0.0223782 + 0.360582i
\(191\) −170075. −0.337332 −0.168666 0.985673i \(-0.553946\pi\)
−0.168666 + 0.985673i \(0.553946\pi\)
\(192\) 802163. 351994.i 1.57040 0.689101i
\(193\) 157998. 0.305323 0.152661 0.988279i \(-0.451216\pi\)
0.152661 + 0.988279i \(0.451216\pi\)
\(194\) −18275.2 + 294469.i −0.0348624 + 0.561740i
\(195\) 522660. 522660.i 0.984311 0.984311i
\(196\) 432691. + 53914.4i 0.804521 + 0.100246i
\(197\) −527247. 527247.i −0.967939 0.967939i 0.0315624 0.999502i \(-0.489952\pi\)
−0.999502 + 0.0315624i \(0.989952\pi\)
\(198\) 472757. + 535320.i 0.856989 + 0.970399i
\(199\) 665722.i 1.19168i −0.803103 0.595841i \(-0.796819\pi\)
0.803103 0.595841i \(-0.203181\pi\)
\(200\) 111187. + 20916.3i 0.196552 + 0.0369752i
\(201\) 950753.i 1.65988i
\(202\) −30126.5 + 26605.6i −0.0519481 + 0.0458770i
\(203\) −170705. 170705.i −0.290742 0.290742i
\(204\) −623560. + 485383.i −1.04907 + 0.816600i
\(205\) 11307.4 11307.4i 0.0187923 0.0187923i
\(206\) 729316. + 45262.4i 1.19742 + 0.0743137i
\(207\) −1.80220e6 −2.92332
\(208\) −972835. + 579807.i −1.55913 + 0.929233i
\(209\) 340262. 0.538826
\(210\) −658271. 40853.2i −1.03005 0.0639261i
\(211\) −53299.1 + 53299.1i −0.0824164 + 0.0824164i −0.747113 0.664697i \(-0.768561\pi\)
0.664697 + 0.747113i \(0.268561\pi\)
\(212\) 399663. + 513438.i 0.610737 + 0.784600i
\(213\) 999292. + 999292.i 1.50919 + 1.50919i
\(214\) 822546. 726415.i 1.22779 1.08430i
\(215\) 285042.i 0.420545i
\(216\) 913623. 624309.i 1.33239 0.910469i
\(217\) 867820.i 1.25107i
\(218\) 638877. + 723423.i 0.910492 + 1.03098i
\(219\) 392506. + 392506.i 0.553014 + 0.553014i
\(220\) 26477.5 212496.i 0.0368826 0.296001i
\(221\) 722382. 722382.i 0.994916 0.994916i
\(222\) −76681.2 + 1.23557e6i −0.104426 + 1.68262i
\(223\) 614968. 0.828114 0.414057 0.910251i \(-0.364111\pi\)
0.414057 + 0.910251i \(0.364111\pi\)
\(224\) 962388. + 308183.i 1.28153 + 0.410383i
\(225\) 294790. 0.388201
\(226\) 34137.4 550058.i 0.0444589 0.716370i
\(227\) 56125.4 56125.4i 0.0722928 0.0722928i −0.670036 0.742329i \(-0.733721\pi\)
0.742329 + 0.670036i \(0.233721\pi\)
\(228\) 134459. 1.07911e6i 0.171299 1.37476i
\(229\) 1.08807e6 + 1.08807e6i 1.37110 + 1.37110i 0.858818 + 0.512281i \(0.171199\pi\)
0.512281 + 0.858818i \(0.328801\pi\)
\(230\) 357692. + 405027.i 0.445851 + 0.504853i
\(231\) 1.24833e6i 1.53922i
\(232\) −141332. 206827.i −0.172393 0.252282i
\(233\) 227380.i 0.274387i −0.990544 0.137193i \(-0.956192\pi\)
0.990544 0.137193i \(-0.0438081\pi\)
\(234\) −2.21182e6 + 1.95333e6i −2.64065 + 2.33204i
\(235\) 389680. + 389680.i 0.460297 + 0.460297i
\(236\) 792658. + 1.01831e6i 0.926415 + 1.19014i
\(237\) 970690. 970690.i 1.12256 1.12256i
\(238\) −909814. 56464.3i −1.04114 0.0646148i
\(239\) −723958. −0.819820 −0.409910 0.912126i \(-0.634440\pi\)
−0.409910 + 0.912126i \(0.634440\pi\)
\(240\) −663444. 167941.i −0.743492 0.188204i
\(241\) −1.53614e6 −1.70368 −0.851840 0.523803i \(-0.824513\pi\)
−0.851840 + 0.523803i \(0.824513\pi\)
\(242\) 504762. + 31326.2i 0.554049 + 0.0343850i
\(243\) −127818. + 127818.i −0.138860 + 0.138860i
\(244\) −686016. + 533999.i −0.737666 + 0.574203i
\(245\) −240879. 240879.i −0.256379 0.256379i
\(246\) −72504.5 + 64030.9i −0.0763883 + 0.0674609i
\(247\) 1.40589e6i 1.46625i
\(248\) 166480. 884972.i 0.171883 0.913693i
\(249\) 698680.i 0.714135i
\(250\) −58508.6 66251.4i −0.0592065 0.0670417i
\(251\) 485905. + 485905.i 0.486819 + 0.486819i 0.907301 0.420482i \(-0.138139\pi\)
−0.420482 + 0.907301i \(0.638139\pi\)
\(252\) 2.61283e6 + 325565.i 2.59185 + 0.322951i
\(253\) 723203. 723203.i 0.710328 0.710328i
\(254\) 22705.0 365848.i 0.0220820 0.355809i
\(255\) 617348. 0.594538
\(256\) 922288. + 498896.i 0.879562 + 0.475784i
\(257\) −1.02007e6 −0.963375 −0.481688 0.876343i \(-0.659976\pi\)
−0.481688 + 0.876343i \(0.659976\pi\)
\(258\) 106803. 1.72092e6i 0.0998924 1.60957i
\(259\) −1.00980e6 + 1.00980e6i −0.935374 + 0.935374i
\(260\) 877986. + 109399.i 0.805479 + 0.100365i
\(261\) −461537. 461537.i −0.419378 0.419378i
\(262\) −269236. 304866.i −0.242315 0.274382i
\(263\) 133056.i 0.118617i −0.998240 0.0593085i \(-0.981110\pi\)
0.998240 0.0593085i \(-0.0188896\pi\)
\(264\) −239476. + 1.27300e6i −0.211472 + 1.12414i
\(265\) 508322.i 0.444656i
\(266\) 940279. 830389.i 0.814803 0.719577i
\(267\) −1.01500e6 1.01500e6i −0.871339 0.871339i
\(268\) 898060. 699055.i 0.763780 0.594531i
\(269\) 482170. 482170.i 0.406274 0.406274i −0.474163 0.880437i \(-0.657249\pi\)
0.880437 + 0.474163i \(0.157249\pi\)
\(270\) −862838. 53548.9i −0.720311 0.0447035i
\(271\) 848589. 0.701898 0.350949 0.936395i \(-0.385859\pi\)
0.350949 + 0.936395i \(0.385859\pi\)
\(272\) −916964. 232116.i −0.751502 0.190232i
\(273\) −5.15783e6 −4.18852
\(274\) −735554. 45649.5i −0.591886 0.0367333i
\(275\) −118296. + 118296.i −0.0943277 + 0.0943277i
\(276\) −2.00778e6 2.57934e6i −1.58651 2.03815i
\(277\) −603958. 603958.i −0.472941 0.472941i 0.429924 0.902865i \(-0.358540\pi\)
−0.902865 + 0.429924i \(0.858540\pi\)
\(278\) 1.74646e6 1.54235e6i 1.35533 1.19693i
\(279\) 2.34633e6i 1.80459i
\(280\) −445414. 651826.i −0.339523 0.496863i
\(281\) 1.56617e6i 1.18324i 0.806218 + 0.591619i \(0.201511\pi\)
−0.806218 + 0.591619i \(0.798489\pi\)
\(282\) −2.20665e6 2.49867e6i −1.65238 1.87105i
\(283\) 220893. + 220893.i 0.163951 + 0.163951i 0.784315 0.620363i \(-0.213015\pi\)
−0.620363 + 0.784315i \(0.713015\pi\)
\(284\) −209165. + 1.67865e6i −0.153884 + 1.23499i
\(285\) −600737. + 600737.i −0.438099 + 0.438099i
\(286\) 103731. 1.67143e6i 0.0749886 1.20830i
\(287\) −111587. −0.0799664
\(288\) 2.60201e6 + 833237.i 1.84854 + 0.591953i
\(289\) −566604. −0.399057
\(290\) −12122.5 + 195330.i −0.00846439 + 0.136387i
\(291\) −985907. + 985907.i −0.682501 + 0.682501i
\(292\) −82156.6 + 659348.i −0.0563878 + 0.452541i
\(293\) −287839. 287839.i −0.195875 0.195875i 0.602354 0.798229i \(-0.294230\pi\)
−0.798229 + 0.602354i \(0.794230\pi\)
\(294\) 1.36403e6 + 1.54454e6i 0.920355 + 1.04215i
\(295\) 1.00816e6i 0.674491i
\(296\) −1.22347e6 + 836040.i −0.811643 + 0.554623i
\(297\) 1.63627e6i 1.07638i
\(298\) −268323. + 236964.i −0.175032 + 0.154576i
\(299\) 2.98812e6 + 2.98812e6i 1.93294 + 1.93294i
\(300\) 328417. + 421910.i 0.210680 + 0.270655i
\(301\) 1.40646e6 1.40646e6i 0.894770 0.894770i
\(302\) −1.32967e6 82521.0i −0.838929 0.0520651i
\(303\) −189943. −0.118855
\(304\) 1.11816e6 666421.i 0.693938 0.413585i
\(305\) 679181. 0.418057
\(306\) −2.45987e6 152663.i −1.50179 0.0932030i
\(307\) 1.86981e6 1.86981e6i 1.13228 1.13228i 0.142478 0.989798i \(-0.454493\pi\)
0.989798 0.142478i \(-0.0455071\pi\)
\(308\) −1.17915e6 + 917855.i −0.708257 + 0.551312i
\(309\) 2.44181e6 + 2.44181e6i 1.45484 + 1.45484i
\(310\) −527316. + 465689.i −0.311650 + 0.275227i
\(311\) 1.39161e6i 0.815864i −0.913012 0.407932i \(-0.866250\pi\)
0.913012 0.407932i \(-0.133750\pi\)
\(312\) −5.25978e6 989463.i −3.05901 0.575457i
\(313\) 464454.i 0.267967i 0.990984 + 0.133984i \(0.0427769\pi\)
−0.990984 + 0.133984i \(0.957223\pi\)
\(314\) −1.64448e6 1.86211e6i −0.941250 1.06581i
\(315\) −1.45456e6 1.45456e6i −0.825952 0.825952i
\(316\) 1.63061e6 + 203178.i 0.918610 + 0.114461i
\(317\) −1.02338e6 + 1.02338e6i −0.571993 + 0.571993i −0.932685 0.360692i \(-0.882540\pi\)
0.360692 + 0.932685i \(0.382540\pi\)
\(318\) −190464. + 3.06895e6i −0.105619 + 1.70186i
\(319\) 370420. 0.203806
\(320\) −329173. 750156.i −0.179701 0.409521i
\(321\) 5.18604e6 2.80914
\(322\) 233563. 3.76342e6i 0.125535 2.02276i
\(323\) −830295. + 830295.i −0.442819 + 0.442819i
\(324\) 1.54973e6 + 193101.i 0.820152 + 0.102193i
\(325\) −488774. 488774.i −0.256684 0.256684i
\(326\) 1.01278e6 + 1.14681e6i 0.527804 + 0.597651i
\(327\) 4.56109e6i 2.35884i
\(328\) −113792. 21406.4i −0.0584020 0.0109865i
\(329\) 3.84553e6i 1.95869i
\(330\) 758528. 669879.i 0.383431 0.338619i
\(331\) −89356.4 89356.4i −0.0448286 0.0448286i 0.684337 0.729166i \(-0.260092\pi\)
−0.729166 + 0.684337i \(0.760092\pi\)
\(332\) −659958. + 513715.i −0.328603 + 0.255786i
\(333\) −2.73020e6 + 2.73020e6i −1.34922 + 1.34922i
\(334\) −2.79248e6 173305.i −1.36969 0.0850051i
\(335\) −889113. −0.432857
\(336\) 2.44492e6 + 4.10224e6i 1.18145 + 1.98231i
\(337\) 1.64073e6 0.786977 0.393489 0.919330i \(-0.371268\pi\)
0.393489 + 0.919330i \(0.371268\pi\)
\(338\) 4.80968e6 + 298495.i 2.28994 + 0.142117i
\(339\) 1.84164e6 1.84164e6i 0.870372 0.870372i
\(340\) 453914. + 583133.i 0.212949 + 0.273571i
\(341\) 941557. + 941557.i 0.438491 + 0.438491i
\(342\) 2.54224e6 2.24513e6i 1.17531 1.03795i
\(343\) 554903.i 0.254672i
\(344\) 1.70407e6 1.16445e6i 0.776410 0.530547i
\(345\) 2.55364e6i 1.15508i
\(346\) −10389.1 11764.0i −0.00466539 0.00528279i
\(347\) 63290.7 + 63290.7i 0.0282173 + 0.0282173i 0.721075 0.692857i \(-0.243648\pi\)
−0.692857 + 0.721075i \(0.743648\pi\)
\(348\) 146377. 1.17475e6i 0.0647923 0.519991i
\(349\) −1.63122e6 + 1.63122e6i −0.716885 + 0.716885i −0.967966 0.251081i \(-0.919214\pi\)
0.251081 + 0.967966i \(0.419214\pi\)
\(350\) −38204.6 + 615593.i −0.0166704 + 0.268611i
\(351\) −6.76071e6 −2.92903
\(352\) −1.37853e6 + 709792.i −0.593007 + 0.305333i
\(353\) −3.02063e6 −1.29021 −0.645106 0.764093i \(-0.723187\pi\)
−0.645106 + 0.764093i \(0.723187\pi\)
\(354\) −377749. + 6.08671e6i −0.160212 + 2.58151i
\(355\) 934504. 934504.i 0.393560 0.393560i
\(356\) 212452. 1.70504e6i 0.0888457 0.713032i
\(357\) −3.04613e6 3.04613e6i −1.26496 1.26496i
\(358\) 113327. + 128324.i 0.0467330 + 0.0529175i
\(359\) 958938.i 0.392694i −0.980534 0.196347i \(-0.937092\pi\)
0.980534 0.196347i \(-0.0629079\pi\)
\(360\) −1.20427e6 1.76235e6i −0.489742 0.716696i
\(361\) 860191.i 0.347398i
\(362\) −301859. + 266581.i −0.121069 + 0.106920i
\(363\) 1.68998e6 + 1.68998e6i 0.673156 + 0.673156i
\(364\) −3.79237e6 4.87197e6i −1.50023 1.92731i
\(365\) 367059. 367059.i 0.144213 0.144213i
\(366\) −4.10050e6 254483.i −1.60005 0.0993014i
\(367\) 441626. 0.171155 0.0855776 0.996332i \(-0.472726\pi\)
0.0855776 + 0.996332i \(0.472726\pi\)
\(368\) 960143. 3.79300e6i 0.369587 1.46003i
\(369\) −301698. −0.115347
\(370\) 1.15546e6 + 71709.7i 0.438786 + 0.0272316i
\(371\) −2.50817e6 + 2.50817e6i −0.946069 + 0.946069i
\(372\) 3.35812e6 2.61398e6i 1.25817 0.979365i
\(373\) 1.98731e6 + 1.98731e6i 0.739594 + 0.739594i 0.972499 0.232905i \(-0.0748232\pi\)
−0.232905 + 0.972499i \(0.574823\pi\)
\(374\) 1.04838e6 925858.i 0.387561 0.342267i
\(375\) 417706.i 0.153389i
\(376\) 737715. 3.92154e6i 0.269103 1.43050i
\(377\) 1.53049e6i 0.554598i
\(378\) 3.99321e6 + 4.52165e6i 1.43745 + 1.62768i
\(379\) −8992.62 8992.62i −0.00321579 0.00321579i 0.705497 0.708713i \(-0.250724\pi\)
−0.708713 + 0.705497i \(0.750724\pi\)
\(380\) −1.00914e6 125742.i −0.358504 0.0446705i
\(381\) 1.22489e6 1.22489e6i 0.432299 0.432299i
\(382\) 59594.1 960244.i 0.0208951 0.336685i
\(383\) 5.27561e6 1.83770 0.918852 0.394603i \(-0.129118\pi\)
0.918852 + 0.394603i \(0.129118\pi\)
\(384\) 1.70628e6 + 4.65234e6i 0.590504 + 1.61007i
\(385\) 1.16740e6 0.401391
\(386\) −55362.3 + 892057.i −0.0189124 + 0.304736i
\(387\) 3.80265e6 3.80265e6i 1.29065 1.29065i
\(388\) −1.65617e6 206363.i −0.558502 0.0695909i
\(389\) −2.46145e6 2.46145e6i −0.824741 0.824741i 0.162043 0.986784i \(-0.448192\pi\)
−0.986784 + 0.162043i \(0.948192\pi\)
\(390\) 2.76779e6 + 3.13407e6i 0.921451 + 1.04339i
\(391\) 3.52946e6i 1.16753i
\(392\) −456014. + 2.42408e6i −0.149887 + 0.796767i
\(393\) 1.92214e6i 0.627775i
\(394\) 3.16158e6 2.79208e6i 1.02604 0.906124i
\(395\) −907757. 907757.i −0.292736 0.292736i
\(396\) −3.18807e6 + 2.48161e6i −1.02162 + 0.795235i
\(397\) −1.45382e6 + 1.45382e6i −0.462951 + 0.462951i −0.899622 0.436670i \(-0.856158\pi\)
0.436670 + 0.899622i \(0.356158\pi\)
\(398\) 3.75866e6 + 233268.i 1.18939 + 0.0738154i
\(399\) 5.92834e6 1.86423
\(400\) −157053. + 620431.i −0.0490791 + 0.193885i
\(401\) 2.98503e6 0.927016 0.463508 0.886093i \(-0.346590\pi\)
0.463508 + 0.886093i \(0.346590\pi\)
\(402\) 5.36794e6 + 333142.i 1.65670 + 0.102817i
\(403\) −3.89031e6 + 3.89031e6i −1.19322 + 1.19322i
\(404\) −139659. 179416.i −0.0425711 0.0546901i
\(405\) −862735. 862735.i −0.261360 0.261360i
\(406\) 1.02362e6 903986.i 0.308192 0.272174i
\(407\) 2.19120e6i 0.655686i
\(408\) −2.52197e6 3.69069e6i −0.750050 1.09763i
\(409\) 532252.i 0.157329i −0.996901 0.0786645i \(-0.974934\pi\)
0.996901 0.0786645i \(-0.0250656\pi\)
\(410\) 59879.6 + 67803.8i 0.0175922 + 0.0199202i
\(411\) −2.46269e6 2.46269e6i −0.719127 0.719127i
\(412\) −511102. + 4.10185e6i −0.148342 + 1.19052i
\(413\) −4.97450e6 + 4.97450e6i −1.43507 + 1.43507i
\(414\) 631486. 1.01752e7i 0.181077 2.91771i
\(415\) 653382. 0.186229
\(416\) −2.93270e6 5.69578e6i −0.830873 1.61369i
\(417\) 1.10112e7 3.10094
\(418\) −119227. + 1.92112e6i −0.0333761 + 0.537791i
\(419\) −4.31407e6 + 4.31407e6i −1.20047 + 1.20047i −0.226450 + 0.974023i \(0.572712\pi\)
−0.974023 + 0.226450i \(0.927288\pi\)
\(420\) 461314. 3.70228e6i 0.127607 1.02411i
\(421\) 2.89172e6 + 2.89172e6i 0.795153 + 0.795153i 0.982327 0.187174i \(-0.0599328\pi\)
−0.187174 + 0.982327i \(0.559933\pi\)
\(422\) −282250. 319602.i −0.0771531 0.0873632i
\(423\) 1.03972e7i 2.82530i
\(424\) −3.03891e6 + 2.07659e6i −0.820923 + 0.560964i
\(425\) 577323.i 0.155041i
\(426\) −5.99214e6 + 5.29184e6i −1.59977 + 1.41281i
\(427\) −3.35123e6 3.35123e6i −0.889476 0.889476i
\(428\) 3.81311e6 + 4.89862e6i 1.00617 + 1.29260i
\(429\) 5.59609e6 5.59609e6i 1.46805 1.46805i
\(430\) −1.60935e6 99878.2i −0.419738 0.0260495i
\(431\) 1.51871e6 0.393806 0.196903 0.980423i \(-0.436912\pi\)
0.196903 + 0.980423i \(0.436912\pi\)
\(432\) 3.20471e6 + 5.37707e6i 0.826190 + 1.38623i
\(433\) 3.00917e6 0.771306 0.385653 0.922644i \(-0.373976\pi\)
0.385653 + 0.922644i \(0.373976\pi\)
\(434\) 4.89970e6 + 304082.i 1.24866 + 0.0774938i
\(435\) −653980. + 653980.i −0.165707 + 0.165707i
\(436\) −4.30830e6 + 3.35361e6i −1.08540 + 0.844882i
\(437\) −3.43449e6 3.43449e6i −0.860318 0.860318i
\(438\) −2.35362e6 + 2.07855e6i −0.586207 + 0.517697i
\(439\) 375602.i 0.0930179i −0.998918 0.0465089i \(-0.985190\pi\)
0.998918 0.0465089i \(-0.0148096\pi\)
\(440\) 1.19047e6 + 223950.i 0.293148 + 0.0551467i
\(441\) 6.42697e6i 1.57365i
\(442\) 3.82544e6 + 4.33168e6i 0.931378 + 1.05463i
\(443\) −3.49838e6 3.49838e6i −0.846950 0.846950i 0.142801 0.989751i \(-0.454389\pi\)
−0.989751 + 0.142801i \(0.954389\pi\)
\(444\) −6.94915e6 865883.i −1.67292 0.208450i
\(445\) −949193. + 949193.i −0.227224 + 0.227224i
\(446\) −215484. + 3.47210e6i −0.0512952 + 0.826524i
\(447\) −1.69174e6 −0.400466
\(448\) −2.07722e6 + 5.32565e6i −0.488976 + 1.25365i
\(449\) −6.84616e6 −1.60262 −0.801311 0.598249i \(-0.795864\pi\)
−0.801311 + 0.598249i \(0.795864\pi\)
\(450\) −103294. + 1.66438e6i −0.0240460 + 0.387455i
\(451\) 121068. 121068.i 0.0280278 0.0280278i
\(452\) 3.09366e6 + 385478.i 0.712240 + 0.0887471i
\(453\) −4.45183e6 4.45183e6i −1.01928 1.01928i
\(454\) 297217. + 336550.i 0.0676760 + 0.0766319i
\(455\) 4.82344e6i 1.09226i
\(456\) 6.04550e6 + 1.13727e6i 1.36151 + 0.256125i
\(457\) 8.03888e6i 1.80055i −0.435321 0.900275i \(-0.643365\pi\)
0.435321 0.900275i \(-0.356635\pi\)
\(458\) −6.52450e6 + 5.76198e6i −1.45339 + 1.28354i
\(459\) −3.99276e6 3.99276e6i −0.884588 0.884588i
\(460\) −2.41212e6 + 1.87760e6i −0.531500 + 0.413723i
\(461\) 1.72098e6 1.72098e6i 0.377159 0.377159i −0.492917 0.870076i \(-0.664070\pi\)
0.870076 + 0.492917i \(0.164070\pi\)
\(462\) −7.04807e6 437413.i −1.53626 0.0953426i
\(463\) 4.66774e6 1.01194 0.505969 0.862552i \(-0.331135\pi\)
0.505969 + 0.862552i \(0.331135\pi\)
\(464\) 1.21726e6 725486.i 0.262476 0.156435i
\(465\) −3.32466e6 −0.713041
\(466\) 1.28379e6 + 79673.6i 0.273860 + 0.0169961i
\(467\) 927821. 927821.i 0.196867 0.196867i −0.601789 0.798655i \(-0.705545\pi\)
0.798655 + 0.601789i \(0.205545\pi\)
\(468\) −1.02535e7 1.31724e7i −2.16399 2.78003i
\(469\) 4.38708e6 + 4.38708e6i 0.920965 + 0.920965i
\(470\) −2.33667e6 + 2.06359e6i −0.487925 + 0.430902i
\(471\) 1.17403e7i 2.43853i
\(472\) −6.02711e6 + 4.11853e6i −1.24524 + 0.850916i
\(473\) 3.05193e6i 0.627223i
\(474\) 5.14038e6 + 5.82064e6i 1.05087 + 1.18994i
\(475\) 561789. + 561789.i 0.114246 + 0.114246i
\(476\) 637594. 5.11702e6i 0.128981 1.03514i
\(477\) −6.78136e6 + 6.78136e6i −1.36465 + 1.36465i
\(478\) 253673. 4.08746e6i 0.0507815 0.818246i
\(479\) 1.02994e6 0.205103 0.102552 0.994728i \(-0.467299\pi\)
0.102552 + 0.994728i \(0.467299\pi\)
\(480\) 1.18066e6 3.68695e6i 0.233896 0.730406i
\(481\) 9.05356e6 1.78425
\(482\) 538260. 8.67303e6i 0.105530 1.70041i
\(483\) 1.26002e7 1.26002e7i 2.45760 2.45760i
\(484\) −353735. + 2.83890e6i −0.0686380 + 0.550855i
\(485\) 921987. + 921987.i 0.177980 + 0.177980i
\(486\) −676874. 766449.i −0.129992 0.147195i
\(487\) 3.74970e6i 0.716431i 0.933639 + 0.358216i \(0.116615\pi\)
−0.933639 + 0.358216i \(0.883385\pi\)
\(488\) −2.77457e6 4.06035e6i −0.527408 0.771817i
\(489\) 7.23049e6i 1.36740i
\(490\) 1.44440e6 1.27559e6i 0.271768 0.240006i
\(491\) −3.17911e6 3.17911e6i −0.595116 0.595116i 0.343893 0.939009i \(-0.388254\pi\)
−0.939009 + 0.343893i \(0.888254\pi\)
\(492\) −336113. 431796.i −0.0625997 0.0804203i
\(493\) −903884. + 903884.i −0.167493 + 0.167493i
\(494\) −7.93764e6 492621.i −1.46344 0.0908230i
\(495\) 3.15630e6 0.578983
\(496\) 4.93821e6 + 1.25004e6i 0.901291 + 0.228149i
\(497\) −9.22210e6 −1.67471
\(498\) −3.94474e6 244816.i −0.712763 0.0442351i
\(499\) −935696. + 935696.i −0.168222 + 0.168222i −0.786198 0.617975i \(-0.787953\pi\)
0.617975 + 0.786198i \(0.287953\pi\)
\(500\) 394556. 307125.i 0.0705803 0.0549401i
\(501\) −9.34943e6 9.34943e6i −1.66414 1.66414i
\(502\) −2.91368e6 + 2.57316e6i −0.516038 + 0.455729i
\(503\) 3.96538e6i 0.698819i −0.936970 0.349409i \(-0.886382\pi\)
0.936970 0.349409i \(-0.113618\pi\)
\(504\) −2.75367e6 + 1.46379e7i −0.482876 + 2.56687i
\(505\) 177629.i 0.0309945i
\(506\) 3.82979e6 + 4.33661e6i 0.664965 + 0.752963i
\(507\) 1.61032e7 + 1.61032e7i 2.78222 + 2.78222i
\(508\) 2.05762e6 + 256385.i 0.353758 + 0.0440792i
\(509\) −6.45393e6 + 6.45393e6i −1.10415 + 1.10415i −0.110251 + 0.993904i \(0.535165\pi\)
−0.993904 + 0.110251i \(0.964835\pi\)
\(510\) −216318. + 3.48554e6i −0.0368270 + 0.593396i
\(511\) −3.62229e6 −0.613665
\(512\) −3.13993e6 + 5.03242e6i −0.529352 + 0.848402i
\(513\) 7.77065e6 1.30366
\(514\) 357429. 5.75928e6i 0.0596736 0.961525i
\(515\) 2.28350e6 2.28350e6i 0.379387 0.379387i
\(516\) 9.67887e6 + 1.20601e6i 1.60030 + 0.199401i
\(517\) 4.17228e6 + 4.17228e6i 0.686511 + 0.686511i
\(518\) −5.34748e6 6.05515e6i −0.875639 0.991517i
\(519\) 74170.3i 0.0120868i
\(520\) −925313. + 4.91877e6i −0.150065 + 0.797715i
\(521\) 9.69172e6i 1.56425i −0.623121 0.782125i \(-0.714136\pi\)
0.623121 0.782125i \(-0.285864\pi\)
\(522\) 2.76756e6 2.44411e6i 0.444549 0.392595i
\(523\) 8.02434e6 + 8.02434e6i 1.28279 + 1.28279i 0.939075 + 0.343714i \(0.111685\pi\)
0.343714 + 0.939075i \(0.388315\pi\)
\(524\) 1.81561e6 1.41328e6i 0.288865 0.224854i
\(525\) −2.06105e6 + 2.06105e6i −0.326356 + 0.326356i
\(526\) 751236. + 46622.7i 0.118389 + 0.00734740i
\(527\) −4.59510e6 −0.720723
\(528\) −7.10346e6 1.79814e6i −1.10888 0.280697i
\(529\) −8.16319e6 −1.26830
\(530\) 2.86998e6 + 178115.i 0.443803 + 0.0275430i
\(531\) −1.34496e7 + 1.34496e7i −2.07001 + 2.07001i
\(532\) 4.35890e6 + 5.59977e6i 0.667725 + 0.857810i
\(533\) 500227. + 500227.i 0.0762692 + 0.0762692i
\(534\) 6.08632e6 5.37502e6i 0.923638 0.815693i
\(535\) 4.84981e6i 0.732556i
\(536\) 3.63218e6 + 5.31539e6i 0.546079 + 0.799140i
\(537\) 809064.i 0.121073i
\(538\) 2.55338e6 + 2.89128e6i 0.380329 + 0.430660i
\(539\) −2.57907e6 2.57907e6i −0.382377 0.382377i
\(540\) 604674. 4.85281e6i 0.0892353 0.716158i
\(541\) −1.80623e6 + 1.80623e6i −0.265327 + 0.265327i −0.827214 0.561887i \(-0.810076\pi\)
0.561887 + 0.827214i \(0.310076\pi\)
\(542\) −297344. + 4.79113e6i −0.0434771 + 0.700550i
\(543\) −1.90318e6 −0.277001
\(544\) 1.63183e6 5.09584e6i 0.236416 0.738275i
\(545\) 4.26538e6 0.615129
\(546\) 1.80730e6 2.91211e7i 0.259446 4.18048i
\(547\) −5.63925e6 + 5.63925e6i −0.805848 + 0.805848i −0.984003 0.178154i \(-0.942987\pi\)
0.178154 + 0.984003i \(0.442987\pi\)
\(548\) 515473. 4.13694e6i 0.0733255 0.588474i
\(549\) −9.06073e6 9.06073e6i −1.28302 1.28302i
\(550\) −626449. 709350.i −0.0883037 0.0999894i
\(551\) 1.75913e6i 0.246841i
\(552\) 1.52665e7 1.04321e7i 2.13251 1.45721i
\(553\) 8.95814e6i 1.24568i
\(554\) 3.62157e6 3.19832e6i 0.501328 0.442738i
\(555\) 3.86859e6 + 3.86859e6i 0.533114 + 0.533114i
\(556\) 8.09613e6 + 1.04009e7i 1.11068 + 1.42687i
\(557\) 5.02067e6 5.02067e6i 0.685684 0.685684i −0.275591 0.961275i \(-0.588874\pi\)
0.961275 + 0.275591i \(0.0888736\pi\)
\(558\) 1.32474e7 + 822149.i 1.80112 + 0.111780i
\(559\) −1.26099e7 −1.70680
\(560\) 3.83628e6 2.28641e6i 0.516940 0.308094i
\(561\) 6.60991e6 0.886724
\(562\) −8.84256e6 548782.i −1.18097 0.0732924i
\(563\) 7.18447e6 7.18447e6i 0.955264 0.955264i −0.0437769 0.999041i \(-0.513939\pi\)
0.999041 + 0.0437769i \(0.0139391\pi\)
\(564\) 1.48807e7 1.15832e7i 1.96981 1.53331i
\(565\) −1.72224e6 1.72224e6i −0.226972 0.226972i
\(566\) −1.32456e6 + 1.16976e6i −0.173792 + 0.153481i
\(567\) 8.51385e6i 1.11216i
\(568\) −9.40437e6 1.76914e6i −1.22309 0.230086i
\(569\) 96843.1i 0.0125397i 0.999980 + 0.00626986i \(0.00199577\pi\)
−0.999980 + 0.00626986i \(0.998004\pi\)
\(570\) −3.18126e6 3.60225e6i −0.410121 0.464394i
\(571\) −3.13884e6 3.13884e6i −0.402883 0.402883i 0.476365 0.879248i \(-0.341954\pi\)
−0.879248 + 0.476365i \(0.841954\pi\)
\(572\) 9.40055e6 + 1.17133e6i 1.20133 + 0.149689i
\(573\) 3.21497e6 3.21497e6i 0.409064 0.409064i
\(574\) 39099.8 630018.i 0.00495330 0.0798129i
\(575\) 2.38808e6 0.301217
\(576\) −5.61619e6 + 1.43990e7i −0.705319 + 1.80832i
\(577\) 5.70394e6 0.713240 0.356620 0.934250i \(-0.383929\pi\)
0.356620 + 0.934250i \(0.383929\pi\)
\(578\) 198537. 3.19904e6i 0.0247185 0.398291i
\(579\) −2.98668e6 + 2.98668e6i −0.370247 + 0.370247i
\(580\) −1.09858e6 136887.i −0.135601 0.0168963i
\(581\) −3.22393e6 3.22393e6i −0.396228 0.396228i
\(582\) −5.22096e6 5.91188e6i −0.638915 0.723466i
\(583\) 5.44258e6i 0.663183i
\(584\) −3.69389e6 694890.i −0.448179 0.0843109i
\(585\) 1.30411e7i 1.57553i
\(586\) 1.72599e6 1.52428e6i 0.207632 0.183366i
\(587\) −8.41205e6 8.41205e6i −1.00764 1.00764i −0.999971 0.00767212i \(-0.997558\pi\)
−0.00767212 0.999971i \(-0.502442\pi\)
\(588\) −9.19841e6 + 7.16010e6i −1.09716 + 0.854035i
\(589\) 4.47146e6 4.47146e6i 0.531081 0.531081i
\(590\) 5.69208e6 + 353259.i 0.673196 + 0.0417795i
\(591\) 1.99333e7 2.34753
\(592\) −4.29157e6 7.20067e6i −0.503283 0.844439i
\(593\) −1.27299e7 −1.48658 −0.743288 0.668971i \(-0.766735\pi\)
−0.743288 + 0.668971i \(0.766735\pi\)
\(594\) −9.23836e6 573346.i −1.07431 0.0666731i
\(595\) −2.84864e6 + 2.84864e6i −0.329872 + 0.329872i
\(596\) −1.24388e6 1.59798e6i −0.143437 0.184271i
\(597\) 1.25843e7 + 1.25843e7i 1.44508 + 1.44508i
\(598\) −1.79179e7 + 1.58238e7i −2.04896 + 1.80950i
\(599\) 8.52462e6i 0.970752i 0.874306 + 0.485376i \(0.161317\pi\)
−0.874306 + 0.485376i \(0.838683\pi\)
\(600\) −2.49718e6 + 1.70640e6i −0.283186 + 0.193510i
\(601\) 1.30387e6i 0.147247i −0.997286 0.0736236i \(-0.976544\pi\)
0.997286 0.0736236i \(-0.0234563\pi\)
\(602\) 7.44804e6 + 8.43368e6i 0.837627 + 0.948475i
\(603\) 1.18614e7 + 1.18614e7i 1.32844 + 1.32844i
\(604\) 931825. 7.47837e6i 0.103930 0.834093i
\(605\) 1.58042e6 1.58042e6i 0.175543 0.175543i
\(606\) 66555.8 1.07242e6i 0.00736215 0.118627i
\(607\) 907557. 0.0999775 0.0499887 0.998750i \(-0.484081\pi\)
0.0499887 + 0.998750i \(0.484081\pi\)
\(608\) 3.37080e6 + 6.54664e6i 0.369806 + 0.718224i
\(609\) 6.45376e6 0.705131
\(610\) −237984. + 3.83465e6i −0.0258954 + 0.417255i
\(611\) −1.72390e7 + 1.72390e7i −1.86813 + 1.86813i
\(612\) 1.72387e6 1.38349e7i 0.186048 1.49313i
\(613\) −1.12318e6 1.12318e6i −0.120725 0.120725i 0.644163 0.764888i \(-0.277206\pi\)
−0.764888 + 0.644163i \(0.777206\pi\)
\(614\) 9.90177e6 + 1.12121e7i 1.05997 + 1.20024i
\(615\) 427494.i 0.0455766i
\(616\) −4.76903e6 6.97907e6i −0.506382 0.741047i
\(617\) 4.14807e6i 0.438665i −0.975650 0.219333i \(-0.929612\pi\)
0.975650 0.219333i \(-0.0703880\pi\)
\(618\) −1.46420e7 + 1.29308e7i −1.54216 + 1.36193i
\(619\) 5.66898e6 + 5.66898e6i 0.594673 + 0.594673i 0.938890 0.344217i \(-0.111856\pi\)
−0.344217 + 0.938890i \(0.611856\pi\)
\(620\) −2.44450e6 3.14040e6i −0.255394 0.328099i
\(621\) 1.65159e7 1.65159e7i 1.71860 1.71860i
\(622\) 7.85704e6 + 487619.i 0.814297 + 0.0505364i
\(623\) 9.36705e6 0.966902
\(624\) 7.42951e6 2.93499e7i 0.763834 3.01749i
\(625\) −390625. −0.0400000
\(626\) −2.62230e6 162744.i −0.267452 0.0165985i
\(627\) −6.43206e6 + 6.43206e6i −0.653403 + 0.653403i
\(628\) 1.10897e7 8.63225e6i 1.12207 0.873424i
\(629\) 5.34688e6 + 5.34688e6i 0.538857 + 0.538857i
\(630\) 8.72210e6 7.70275e6i 0.875527 0.773205i
\(631\) 1.29134e6i 0.129113i −0.997914 0.0645563i \(-0.979437\pi\)
0.997914 0.0645563i \(-0.0205632\pi\)
\(632\) −1.71850e6 + 9.13519e6i −0.171142 + 0.909756i
\(633\) 2.01505e6i 0.199883i
\(634\) −5.41943e6 6.13661e6i −0.535464 0.606325i
\(635\) −1.14547e6 1.14547e6i −0.112733 0.112733i
\(636\) −1.72606e7 2.15071e6i −1.69204 0.210833i
\(637\) 1.06562e7 1.06562e7i 1.04053 1.04053i
\(638\) −129794. + 2.09139e6i −0.0126242 + 0.203415i
\(639\) −2.49338e7 −2.41567
\(640\) 4.35071e6 1.59566e6i 0.419866 0.153989i
\(641\) −5.37811e6 −0.516993 −0.258496 0.966012i \(-0.583227\pi\)
−0.258496 + 0.966012i \(0.583227\pi\)
\(642\) −1.81718e6 + 2.92804e7i −0.174004 + 2.80375i
\(643\) −1.13475e7 + 1.13475e7i −1.08236 + 1.08236i −0.0860758 + 0.996289i \(0.527433\pi\)
−0.996289 + 0.0860758i \(0.972567\pi\)
\(644\) 2.11664e7 + 2.63739e6i 2.01110 + 0.250588i
\(645\) −5.38822e6 5.38822e6i −0.509971 0.509971i
\(646\) −4.39690e6 4.97877e6i −0.414539 0.469398i
\(647\) 1.70776e7i 1.60386i −0.597418 0.801930i \(-0.703807\pi\)
0.597418 0.801930i \(-0.296193\pi\)
\(648\) −1.63327e6 + 8.68212e6i −0.152799 + 0.812247i
\(649\) 1.07944e7i 1.00597i
\(650\) 2.93088e6 2.58835e6i 0.272091 0.240292i
\(651\) 1.64046e7 + 1.64046e7i 1.51710 + 1.51710i
\(652\) −6.82976e6 + 5.31632e6i −0.629197 + 0.489770i
\(653\) 8.80276e6 8.80276e6i 0.807860 0.807860i −0.176450 0.984310i \(-0.556461\pi\)
0.984310 + 0.176450i \(0.0564614\pi\)
\(654\) −2.57519e7 1.59820e6i −2.35431 0.146112i
\(655\) −1.79752e6 −0.163708
\(656\) 160733. 634969.i 0.0145830 0.0576093i
\(657\) −9.79362e6 −0.885176
\(658\) 2.17118e7 + 1.34747e6i 1.95493 + 0.121326i
\(659\) 3.66172e6 3.66172e6i 0.328452 0.328452i −0.523546 0.851997i \(-0.675391\pi\)
0.851997 + 0.523546i \(0.175391\pi\)
\(660\) 3.51634e6 + 4.51737e6i 0.314218 + 0.403669i
\(661\) 9.07999e6 + 9.07999e6i 0.808317 + 0.808317i 0.984379 0.176062i \(-0.0563359\pi\)
−0.176062 + 0.984379i \(0.556336\pi\)
\(662\) 535816. 473195.i 0.0475193 0.0419658i
\(663\) 2.73107e7i 2.41295i
\(664\) −2.66918e6 3.90612e6i −0.234941 0.343815i
\(665\) 5.54398e6i 0.486147i
\(666\) −1.44580e7 1.63713e7i −1.26306 1.43021i
\(667\) −3.73889e6 3.73889e6i −0.325408 0.325408i
\(668\) 1.95696e6 1.57056e7i 0.169684 1.36180i
\(669\) −1.16249e7 + 1.16249e7i −1.00421 + 1.00421i
\(670\) 311543. 5.01992e6i 0.0268121 0.432026i
\(671\) 7.27196e6 0.623512
\(672\) −2.40179e7 + 1.23666e7i −2.05169 + 1.05640i
\(673\) 7.73983e6 0.658709 0.329355 0.944206i \(-0.393169\pi\)
0.329355 + 0.944206i \(0.393169\pi\)
\(674\) −574908. + 9.26354e6i −0.0487471 + 0.785466i
\(675\) −2.70156e6 + 2.70156e6i −0.228220 + 0.228220i
\(676\) −3.37060e6 + 2.70508e7i −0.283688 + 2.27674i
\(677\) 9.05485e6 + 9.05485e6i 0.759293 + 0.759293i 0.976194 0.216901i \(-0.0695947\pi\)
−0.216901 + 0.976194i \(0.569595\pi\)
\(678\) 9.75256e6 + 1.10432e7i 0.814788 + 0.922613i
\(679\) 9.09857e6i 0.757354i
\(680\) −3.45141e6 + 2.35847e6i −0.286236 + 0.195595i
\(681\) 2.12190e6i 0.175331i
\(682\) −5.64595e6 + 4.98611e6i −0.464810 + 0.410488i
\(683\) −9.68823e6 9.68823e6i −0.794681 0.794681i 0.187571 0.982251i \(-0.439939\pi\)
−0.982251 + 0.187571i \(0.939939\pi\)
\(684\) 1.17852e7 + 1.51401e7i 0.963154 + 1.23734i
\(685\) −2.30303e6 + 2.30303e6i −0.187531 + 0.187531i
\(686\) 3.13297e6 + 194437.i 0.254183 + 0.0157750i
\(687\) −4.11361e7 −3.32531
\(688\) 5.97736e6 + 1.00292e7i 0.481435 + 0.807782i
\(689\) 2.24876e7 1.80465
\(690\) −1.44179e7 894792.i −1.15286 0.0715483i
\(691\) 1.51556e7 1.51556e7i 1.20748 1.20748i 0.235633 0.971842i \(-0.424284\pi\)
0.971842 0.235633i \(-0.0757165\pi\)
\(692\) 70059.6 54534.8i 0.00556163 0.00432921i
\(693\) −1.55739e7 1.55739e7i −1.23187 1.23187i
\(694\) −379515. + 335162.i −0.0299110 + 0.0264153i
\(695\) 1.02973e7i 0.808650i
\(696\) 6.58132e6 + 1.23807e6i 0.514979 + 0.0968773i
\(697\) 590851.i 0.0460677i
\(698\) −8.63829e6 9.78145e6i −0.671103 0.759914i
\(699\) 4.29822e6 + 4.29822e6i 0.332733 + 0.332733i
\(700\) −3.46225e6 431405.i −0.267062 0.0332767i
\(701\) −8.54126e6 + 8.54126e6i −0.656488 + 0.656488i −0.954547 0.298059i \(-0.903661\pi\)
0.298059 + 0.954547i \(0.403661\pi\)
\(702\) 2.36894e6 3.81709e7i 0.181431 2.92341i
\(703\) −1.04060e7 −0.794139
\(704\) −3.52444e6 8.03188e6i −0.268015 0.610781i
\(705\) −1.47324e7 −1.11635
\(706\) 1.05842e6 1.70545e7i 0.0799186 1.28773i
\(707\) 876460. 876460.i 0.0659452 0.0659452i
\(708\) −3.42331e7 4.26554e6i −2.56663 0.319809i
\(709\) 1.75193e6 + 1.75193e6i 0.130889 + 0.130889i 0.769516 0.638627i \(-0.220497\pi\)
−0.638627 + 0.769516i \(0.720497\pi\)
\(710\) 4.94876e6 + 5.60365e6i 0.368426 + 0.417182i
\(711\) 2.42202e7i 1.79682i
\(712\) 9.55218e6 + 1.79694e6i 0.706159 + 0.132842i
\(713\) 1.90075e7i 1.40024i
\(714\) 1.82658e7 1.61311e7i 1.34089 1.18418i
\(715\) −5.23328e6 5.23328e6i −0.382832 0.382832i
\(716\) −764224. + 594876.i −0.0557106 + 0.0433655i
\(717\) 1.36851e7 1.36851e7i 0.994149 0.994149i
\(718\) 5.41416e6 + 336010.i 0.391940 + 0.0243243i
\(719\) 5.01363e6 0.361684 0.180842 0.983512i \(-0.442118\pi\)
0.180842 + 0.983512i \(0.442118\pi\)
\(720\) 1.03722e7 6.18177e6i 0.745655 0.444408i
\(721\) −2.25346e7 −1.61440
\(722\) −4.85663e6 301409.i −0.346731 0.0215186i
\(723\) 2.90380e7 2.90380e7i 2.06595 2.06595i
\(724\) −1.39934e6 1.79770e6i −0.0992151 0.127459i
\(725\) 611581. + 611581.i 0.0432124 + 0.0432124i
\(726\) −1.01338e7 + 8.94946e6i −0.713560 + 0.630166i
\(727\) 1.46450e7i 1.02767i −0.857889 0.513835i \(-0.828225\pi\)
0.857889 0.513835i \(-0.171775\pi\)
\(728\) 2.88360e7 1.97046e7i 2.01654 1.37797i
\(729\) 1.66916e7i 1.16327i
\(730\) 1.94379e6 + 2.20103e6i 0.135003 + 0.152868i
\(731\) −7.44720e6 7.44720e6i −0.515465 0.515465i
\(732\) 2.87361e6 2.30622e7i 0.198222 1.59083i
\(733\) −7.22552e6 + 7.22552e6i −0.496718 + 0.496718i −0.910415 0.413697i \(-0.864237\pi\)
0.413697 + 0.910415i \(0.364237\pi\)
\(734\) −154745. + 2.49342e6i −0.0106017 + 0.170826i
\(735\) 9.10677e6 0.621793
\(736\) 2.10788e7 + 6.75002e6i 1.43434 + 0.459315i
\(737\) −9.51968e6 −0.645586
\(738\) 105714. 1.70338e6i 0.00714484 0.115125i
\(739\) −1.22662e7 + 1.22662e7i −0.826226 + 0.826226i −0.986993 0.160766i \(-0.948604\pi\)
0.160766 + 0.986993i \(0.448604\pi\)
\(740\) −809745. + 6.49862e6i −0.0543587 + 0.436256i
\(741\) −2.65759e7 2.65759e7i −1.77804 1.77804i
\(742\) −1.32823e7 1.50400e7i −0.885651 1.00285i
\(743\) 8.77727e6i 0.583294i 0.956526 + 0.291647i \(0.0942032\pi\)
−0.956526 + 0.291647i \(0.905797\pi\)
\(744\) 1.35818e7 + 1.98758e7i 0.899550 + 1.31642i
\(745\) 1.58206e6i 0.104432i
\(746\) −1.19167e7 + 1.05240e7i −0.783986 + 0.692362i
\(747\) −8.71656e6 8.71656e6i −0.571536 0.571536i
\(748\) 4.86004e6 + 6.24358e6i 0.317604 + 0.408018i
\(749\) −2.39300e7 + 2.39300e7i −1.55862 + 1.55862i
\(750\) 2.35837e6 + 146363.i 0.153094 + 0.00950122i
\(751\) 1.91758e7 1.24066 0.620331 0.784340i \(-0.286998\pi\)
0.620331 + 0.784340i \(0.286998\pi\)
\(752\) 2.18825e7 + 5.53923e6i 1.41108 + 0.357195i
\(753\) −1.83704e7 −1.18067
\(754\) −8.64116e6 536282.i −0.553533 0.0343530i
\(755\) −4.16320e6 + 4.16320e6i −0.265803 + 0.265803i
\(756\) −2.69284e7 + 2.09612e7i −1.71359 + 1.33387i
\(757\) 2.09939e7 + 2.09939e7i 1.33154 + 1.33154i 0.903993 + 0.427547i \(0.140622\pi\)
0.427547 + 0.903993i \(0.359378\pi\)
\(758\) 53923.3 47621.3i 0.00340881 0.00301043i
\(759\) 2.73417e7i 1.72275i
\(760\) 1.06354e6 5.65355e6i 0.0667913 0.355048i
\(761\) 1.15891e7i 0.725419i 0.931902 + 0.362709i \(0.118148\pi\)
−0.931902 + 0.362709i \(0.881852\pi\)
\(762\) 6.48651e6 + 7.34491e6i 0.404691 + 0.458246i
\(763\) −2.10463e7