Properties

Label 80.6.l.a.21.1
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 21.1
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.65572 + 0.113075i) q^{2} +(-18.3942 + 18.3942i) q^{3} +(31.9744 - 1.27904i) q^{4} +(17.6777 + 17.6777i) q^{5} +(101.953 - 106.113i) q^{6} -47.3499i q^{7} +(-180.694 + 10.8494i) q^{8} -433.697i q^{9} +O(q^{10})\) \(q+(-5.65572 + 0.113075i) q^{2} +(-18.3942 + 18.3942i) q^{3} +(31.9744 - 1.27904i) q^{4} +(17.6777 + 17.6777i) q^{5} +(101.953 - 106.113i) q^{6} -47.3499i q^{7} +(-180.694 + 10.8494i) q^{8} -433.697i q^{9} +(-101.979 - 97.9811i) q^{10} +(-285.234 - 285.234i) q^{11} +(-564.618 + 611.673i) q^{12} +(301.631 - 301.631i) q^{13} +(5.35409 + 267.798i) q^{14} -650.335 q^{15} +(1020.73 - 81.7933i) q^{16} +387.084 q^{17} +(49.0403 + 2452.87i) q^{18} +(1151.39 - 1151.39i) q^{19} +(587.844 + 542.623i) q^{20} +(870.965 + 870.965i) q^{21} +(1645.45 + 1580.95i) q^{22} +4570.65i q^{23} +(3124.16 - 3523.30i) q^{24} +625.000i q^{25} +(-1671.83 + 1740.05i) q^{26} +(3507.72 + 3507.72i) q^{27} +(-60.5625 - 1513.99i) q^{28} +(5716.62 - 5716.62i) q^{29} +(3678.11 - 73.5366i) q^{30} -5216.43 q^{31} +(-5763.71 + 578.019i) q^{32} +10493.3 q^{33} +(-2189.24 + 43.7696i) q^{34} +(837.036 - 837.036i) q^{35} +(-554.716 - 13867.2i) q^{36} +(6376.99 + 6376.99i) q^{37} +(-6381.75 + 6642.13i) q^{38} +11096.5i q^{39} +(-3386.04 - 3002.45i) q^{40} +6877.46i q^{41} +(-5024.42 - 4827.46i) q^{42} +(2857.60 + 2857.60i) q^{43} +(-9485.01 - 8755.35i) q^{44} +(7666.75 - 7666.75i) q^{45} +(-516.827 - 25850.3i) q^{46} -10988.9 q^{47} +(-17271.0 + 20280.1i) q^{48} +14565.0 q^{49} +(-70.6719 - 3534.83i) q^{50} +(-7120.12 + 7120.12i) q^{51} +(9258.67 - 10030.3i) q^{52} +(-12360.5 - 12360.5i) q^{53} +(-20235.3 - 19442.1i) q^{54} -10084.5i q^{55} +(513.719 + 8555.84i) q^{56} +42357.9i q^{57} +(-31685.2 + 32978.0i) q^{58} +(21041.9 + 21041.9i) q^{59} +(-20794.1 + 831.806i) q^{60} +(13843.3 - 13843.3i) q^{61} +(29502.7 - 589.848i) q^{62} -20535.5 q^{63} +(32532.6 - 3920.85i) q^{64} +10664.3 q^{65} +(-59347.3 + 1186.53i) q^{66} +(17308.5 - 17308.5i) q^{67} +(12376.8 - 495.097i) q^{68} +(-84073.7 - 84073.7i) q^{69} +(-4639.39 + 4828.69i) q^{70} +11324.5i q^{71} +(4705.36 + 78366.3i) q^{72} -81459.8i q^{73} +(-36787.6 - 35345.4i) q^{74} +(-11496.4 - 11496.4i) q^{75} +(35342.3 - 38287.7i) q^{76} +(-13505.8 + 13505.8i) q^{77} +(-1254.74 - 62758.9i) q^{78} +36891.5 q^{79} +(19490.0 + 16598.2i) q^{80} -23655.5 q^{81} +(-777.669 - 38897.0i) q^{82} +(82684.9 - 82684.9i) q^{83} +(28962.6 + 26734.6i) q^{84} +(6842.75 + 6842.75i) q^{85} +(-16484.9 - 15838.7i) q^{86} +210306. i q^{87} +(54634.6 + 48445.3i) q^{88} +126381. i q^{89} +(-42494.1 + 44227.9i) q^{90} +(-14282.2 - 14282.2i) q^{91} +(5846.06 + 146144. i) q^{92} +(95952.3 - 95952.3i) q^{93} +(62150.3 - 1242.57i) q^{94} +40707.8 q^{95} +(95386.8 - 116651. i) q^{96} -4401.13 q^{97} +(-82375.6 + 1646.94i) q^{98} +(-123705. + 123705. i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.65572 + 0.113075i −0.999800 + 0.0199890i
\(3\) −18.3942 + 18.3942i −1.17999 + 1.17999i −0.200246 + 0.979746i \(0.564174\pi\)
−0.979746 + 0.200246i \(0.935826\pi\)
\(4\) 31.9744 1.27904i 0.999201 0.0399701i
\(5\) 17.6777 + 17.6777i 0.316228 + 0.316228i
\(6\) 101.953 106.113i 1.15617 1.20334i
\(7\) 47.3499i 0.365236i −0.983184 0.182618i \(-0.941543\pi\)
0.983184 0.182618i \(-0.0584572\pi\)
\(8\) −180.694 + 10.8494i −0.998202 + 0.0599351i
\(9\) 433.697i 1.78476i
\(10\) −101.979 97.9811i −0.322486 0.309843i
\(11\) −285.234 285.234i −0.710753 0.710753i 0.255940 0.966693i \(-0.417615\pi\)
−0.966693 + 0.255940i \(0.917615\pi\)
\(12\) −564.618 + 611.673i −1.13188 + 1.22621i
\(13\) 301.631 301.631i 0.495013 0.495013i −0.414868 0.909882i \(-0.636172\pi\)
0.909882 + 0.414868i \(0.136172\pi\)
\(14\) 5.35409 + 267.798i 0.00730072 + 0.365163i
\(15\) −650.335 −0.746292
\(16\) 1020.73 81.7933i 0.996805 0.0798763i
\(17\) 387.084 0.324850 0.162425 0.986721i \(-0.448068\pi\)
0.162425 + 0.986721i \(0.448068\pi\)
\(18\) 49.0403 + 2452.87i 0.0356756 + 1.78440i
\(19\) 1151.39 1151.39i 0.731709 0.731709i −0.239250 0.970958i \(-0.576901\pi\)
0.970958 + 0.239250i \(0.0769014\pi\)
\(20\) 587.844 + 542.623i 0.328615 + 0.303335i
\(21\) 870.965 + 870.965i 0.430976 + 0.430976i
\(22\) 1645.45 + 1580.95i 0.724819 + 0.696404i
\(23\) 4570.65i 1.80160i 0.434234 + 0.900800i \(0.357019\pi\)
−0.434234 + 0.900800i \(0.642981\pi\)
\(24\) 3124.16 3523.30i 1.10715 1.24859i
\(25\) 625.000i 0.200000i
\(26\) −1671.83 + 1740.05i −0.485020 + 0.504809i
\(27\) 3507.72 + 3507.72i 0.926010 + 0.926010i
\(28\) −60.5625 1513.99i −0.0145985 0.364944i
\(29\) 5716.62 5716.62i 1.26225 1.26225i 0.312246 0.950001i \(-0.398919\pi\)
0.950001 0.312246i \(-0.101081\pi\)
\(30\) 3678.11 73.5366i 0.746143 0.0149177i
\(31\) −5216.43 −0.974920 −0.487460 0.873145i \(-0.662077\pi\)
−0.487460 + 0.873145i \(0.662077\pi\)
\(32\) −5763.71 + 578.019i −0.995009 + 0.0997855i
\(33\) 10493.3 1.67737
\(34\) −2189.24 + 43.7696i −0.324785 + 0.00649344i
\(35\) 837.036 837.036i 0.115498 0.115498i
\(36\) −554.716 13867.2i −0.0713370 1.78333i
\(37\) 6376.99 + 6376.99i 0.765793 + 0.765793i 0.977363 0.211569i \(-0.0678575\pi\)
−0.211569 + 0.977363i \(0.567857\pi\)
\(38\) −6381.75 + 6642.13i −0.716936 + 0.746189i
\(39\) 11096.5i 1.16822i
\(40\) −3386.04 3002.45i −0.334612 0.296706i
\(41\) 6877.46i 0.638952i 0.947594 + 0.319476i \(0.103507\pi\)
−0.947594 + 0.319476i \(0.896493\pi\)
\(42\) −5024.42 4827.46i −0.439504 0.422275i
\(43\) 2857.60 + 2857.60i 0.235684 + 0.235684i 0.815060 0.579376i \(-0.196704\pi\)
−0.579376 + 0.815060i \(0.696704\pi\)
\(44\) −9485.01 8755.35i −0.738594 0.681776i
\(45\) 7666.75 7666.75i 0.564391 0.564391i
\(46\) −516.827 25850.3i −0.0360122 1.80124i
\(47\) −10988.9 −0.725622 −0.362811 0.931863i \(-0.618183\pi\)
−0.362811 + 0.931863i \(0.618183\pi\)
\(48\) −17271.0 + 20280.1i −1.08197 + 1.27047i
\(49\) 14565.0 0.866603
\(50\) −70.6719 3534.83i −0.00399781 0.199960i
\(51\) −7120.12 + 7120.12i −0.383321 + 0.383321i
\(52\) 9258.67 10030.3i 0.474832 0.514404i
\(53\) −12360.5 12360.5i −0.604432 0.604432i 0.337054 0.941485i \(-0.390570\pi\)
−0.941485 + 0.337054i \(0.890570\pi\)
\(54\) −20235.3 19442.1i −0.944335 0.907315i
\(55\) 10084.5i 0.449520i
\(56\) 513.719 + 8555.84i 0.0218905 + 0.364580i
\(57\) 42357.9i 1.72682i
\(58\) −31685.2 + 32978.0i −1.23676 + 1.28723i
\(59\) 21041.9 + 21041.9i 0.786964 + 0.786964i 0.980995 0.194032i \(-0.0621565\pi\)
−0.194032 + 0.980995i \(0.562156\pi\)
\(60\) −20794.1 + 831.806i −0.745696 + 0.0298294i
\(61\) 13843.3 13843.3i 0.476337 0.476337i −0.427621 0.903958i \(-0.640648\pi\)
0.903958 + 0.427621i \(0.140648\pi\)
\(62\) 29502.7 589.848i 0.974725 0.0194877i
\(63\) −20535.5 −0.651859
\(64\) 32532.6 3920.85i 0.992816 0.119655i
\(65\) 10664.3 0.313074
\(66\) −59347.3 + 1186.53i −1.67703 + 0.0335289i
\(67\) 17308.5 17308.5i 0.471055 0.471055i −0.431201 0.902256i \(-0.641910\pi\)
0.902256 + 0.431201i \(0.141910\pi\)
\(68\) 12376.8 495.097i 0.324591 0.0129843i
\(69\) −84073.7 84073.7i −2.12587 2.12587i
\(70\) −4639.39 + 4828.69i −0.113166 + 0.117783i
\(71\) 11324.5i 0.266608i 0.991075 + 0.133304i \(0.0425587\pi\)
−0.991075 + 0.133304i \(0.957441\pi\)
\(72\) 4705.36 + 78366.3i 0.106970 + 1.78155i
\(73\) 81459.8i 1.78911i −0.446962 0.894553i \(-0.647494\pi\)
0.446962 0.894553i \(-0.352506\pi\)
\(74\) −36787.6 35345.4i −0.780948 0.750333i
\(75\) −11496.4 11496.4i −0.235998 0.235998i
\(76\) 35342.3 38287.7i 0.701877 0.760370i
\(77\) −13505.8 + 13505.8i −0.259593 + 0.259593i
\(78\) −1254.74 62758.9i −0.0233517 1.16799i
\(79\) 36891.5 0.665057 0.332529 0.943093i \(-0.392098\pi\)
0.332529 + 0.943093i \(0.392098\pi\)
\(80\) 19490.0 + 16598.2i 0.340476 + 0.289958i
\(81\) −23655.5 −0.400608
\(82\) −777.669 38897.0i −0.0127720 0.638825i
\(83\) 82684.9 82684.9i 1.31744 1.31744i 0.401646 0.915795i \(-0.368438\pi\)
0.915795 0.401646i \(-0.131562\pi\)
\(84\) 28962.6 + 26734.6i 0.447857 + 0.413405i
\(85\) 6842.75 + 6842.75i 0.102727 + 0.102727i
\(86\) −16484.9 15838.7i −0.240348 0.230926i
\(87\) 210306.i 2.97888i
\(88\) 54634.6 + 48445.3i 0.752075 + 0.666876i
\(89\) 126381.i 1.69125i 0.533780 + 0.845623i \(0.320771\pi\)
−0.533780 + 0.845623i \(0.679229\pi\)
\(90\) −42494.1 + 44227.9i −0.552996 + 0.575559i
\(91\) −14282.2 14282.2i −0.180797 0.180797i
\(92\) 5846.06 + 146144.i 0.0720101 + 1.80016i
\(93\) 95952.3 95952.3i 1.15040 1.15040i
\(94\) 62150.3 1242.57i 0.725477 0.0145045i
\(95\) 40707.8 0.462773
\(96\) 95386.8 116651.i 1.05636 1.29185i
\(97\) −4401.13 −0.0474936 −0.0237468 0.999718i \(-0.507560\pi\)
−0.0237468 + 0.999718i \(0.507560\pi\)
\(98\) −82375.6 + 1646.94i −0.866429 + 0.0173225i
\(99\) −123705. + 123705.i −1.26852 + 1.26852i
\(100\) 799.401 + 19984.0i 0.00799401 + 0.199840i
\(101\) 70949.2 + 70949.2i 0.692061 + 0.692061i 0.962685 0.270624i \(-0.0872301\pi\)
−0.270624 + 0.962685i \(0.587230\pi\)
\(102\) 39464.3 41074.6i 0.375582 0.390906i
\(103\) 65793.1i 0.611065i −0.952182 0.305532i \(-0.901166\pi\)
0.952182 0.305532i \(-0.0988344\pi\)
\(104\) −51230.3 + 57775.3i −0.464455 + 0.523792i
\(105\) 30793.3i 0.272573i
\(106\) 71305.4 + 68510.0i 0.616393 + 0.592229i
\(107\) 44614.9 + 44614.9i 0.376721 + 0.376721i 0.869918 0.493197i \(-0.164172\pi\)
−0.493197 + 0.869918i \(0.664172\pi\)
\(108\) 116644. + 107671.i 0.962283 + 0.888257i
\(109\) 117486. 117486.i 0.947149 0.947149i −0.0515228 0.998672i \(-0.516407\pi\)
0.998672 + 0.0515228i \(0.0164075\pi\)
\(110\) 1140.31 + 57035.3i 0.00898547 + 0.449430i
\(111\) −234600. −1.80726
\(112\) −3872.90 48331.4i −0.0291737 0.364069i
\(113\) −48951.7 −0.360638 −0.180319 0.983608i \(-0.557713\pi\)
−0.180319 + 0.983608i \(0.557713\pi\)
\(114\) −4789.62 239564.i −0.0345175 1.72647i
\(115\) −80798.5 + 80798.5i −0.569716 + 0.569716i
\(116\) 175474. 190098.i 1.21079 1.31169i
\(117\) −130816. 130816.i −0.883480 0.883480i
\(118\) −121386. 116628.i −0.802537 0.771076i
\(119\) 18328.4i 0.118647i
\(120\) 117512. 7055.76i 0.744951 0.0447291i
\(121\) 1665.34i 0.0103405i
\(122\) −76728.5 + 79859.2i −0.466721 + 0.485764i
\(123\) −126506. 126506.i −0.753958 0.753958i
\(124\) −166792. + 6672.03i −0.974141 + 0.0389676i
\(125\) −11048.5 + 11048.5i −0.0632456 + 0.0632456i
\(126\) 116143. 2322.05i 0.651729 0.0130300i
\(127\) 350103. 1.92613 0.963067 0.269262i \(-0.0867796\pi\)
0.963067 + 0.269262i \(0.0867796\pi\)
\(128\) −183552. + 25853.9i −0.990225 + 0.139476i
\(129\) −105127. −0.556211
\(130\) −60314.1 + 1205.86i −0.313011 + 0.00625805i
\(131\) −208219. + 208219.i −1.06009 + 1.06009i −0.0620143 + 0.998075i \(0.519752\pi\)
−0.998075 + 0.0620143i \(0.980248\pi\)
\(132\) 335518. 13421.4i 1.67603 0.0670444i
\(133\) −54518.1 54518.1i −0.267246 0.267246i
\(134\) −95934.8 + 99849.2i −0.461545 + 0.480377i
\(135\) 124017.i 0.585660i
\(136\) −69943.8 + 4199.64i −0.324266 + 0.0194699i
\(137\) 342023.i 1.55688i −0.627721 0.778438i \(-0.716012\pi\)
0.627721 0.778438i \(-0.283988\pi\)
\(138\) 485004. + 465991.i 2.16794 + 2.08295i
\(139\) −190884. 190884.i −0.837979 0.837979i 0.150614 0.988593i \(-0.451875\pi\)
−0.988593 + 0.150614i \(0.951875\pi\)
\(140\) 25693.1 27834.3i 0.110789 0.120022i
\(141\) 202133. 202133.i 0.856228 0.856228i
\(142\) −1280.52 64048.3i −0.00532924 0.266555i
\(143\) −172070. −0.703665
\(144\) −35473.5 442686.i −0.142560 1.77906i
\(145\) 202113. 0.798315
\(146\) 9211.07 + 460714.i 0.0357625 + 1.78875i
\(147\) −267912. + 267912.i −1.02258 + 1.02258i
\(148\) 212057. + 195744.i 0.795790 + 0.734573i
\(149\) −55329.1 55329.1i −0.204168 0.204168i 0.597615 0.801783i \(-0.296115\pi\)
−0.801783 + 0.597615i \(0.796115\pi\)
\(150\) 66320.4 + 63720.5i 0.240669 + 0.231234i
\(151\) 295727.i 1.05548i −0.849407 0.527739i \(-0.823040\pi\)
0.849407 0.527739i \(-0.176960\pi\)
\(152\) −195557. + 220541.i −0.686538 + 0.774248i
\(153\) 167877.i 0.579780i
\(154\) 74857.8 77912.1i 0.254352 0.264730i
\(155\) −92214.3 92214.3i −0.308297 0.308297i
\(156\) 14192.9 + 354805.i 0.0466940 + 1.16729i
\(157\) −76397.2 + 76397.2i −0.247359 + 0.247359i −0.819886 0.572527i \(-0.805963\pi\)
0.572527 + 0.819886i \(0.305963\pi\)
\(158\) −208648. + 4171.51i −0.664924 + 0.0132938i
\(159\) 454725. 1.42645
\(160\) −112107. 91670.9i −0.346204 0.283095i
\(161\) 216420. 0.658010
\(162\) 133789. 2674.84i 0.400528 0.00800776i
\(163\) −171462. + 171462.i −0.505474 + 0.505474i −0.913134 0.407660i \(-0.866345\pi\)
0.407660 + 0.913134i \(0.366345\pi\)
\(164\) 8796.56 + 219903.i 0.0255390 + 0.638442i
\(165\) 185497. + 185497.i 0.530430 + 0.530430i
\(166\) −458294. + 476993.i −1.29084 + 1.34351i
\(167\) 58773.9i 0.163077i 0.996670 + 0.0815387i \(0.0259834\pi\)
−0.996670 + 0.0815387i \(0.974017\pi\)
\(168\) −166828. 147929.i −0.456031 0.404370i
\(169\) 189331.i 0.509923i
\(170\) −39474.4 37927.0i −0.104760 0.100653i
\(171\) −499354. 499354.i −1.30592 1.30592i
\(172\) 95025.3 + 87715.3i 0.244916 + 0.226076i
\(173\) 18792.0 18792.0i 0.0477373 0.0477373i −0.682835 0.730572i \(-0.739253\pi\)
0.730572 + 0.682835i \(0.239253\pi\)
\(174\) −23780.3 1.18943e6i −0.0595450 2.97829i
\(175\) 29593.7 0.0730472
\(176\) −314476. 267816.i −0.765255 0.651710i
\(177\) −774099. −1.85722
\(178\) −14290.5 714776.i −0.0338064 1.69091i
\(179\) 233429. 233429.i 0.544530 0.544530i −0.380324 0.924854i \(-0.624187\pi\)
0.924854 + 0.380324i \(0.124187\pi\)
\(180\) 235334. 254946.i 0.541381 0.586498i
\(181\) 384731. + 384731.i 0.872892 + 0.872892i 0.992787 0.119894i \(-0.0382556\pi\)
−0.119894 + 0.992787i \(0.538256\pi\)
\(182\) 82391.0 + 79161.1i 0.184375 + 0.177147i
\(183\) 509274.i 1.12415i
\(184\) −49588.9 825889.i −0.107979 1.79836i
\(185\) 225461.i 0.484330i
\(186\) −531830. + 553529.i −1.12717 + 1.17316i
\(187\) −110409. 110409.i −0.230888 0.230888i
\(188\) −351365. + 14055.3i −0.725042 + 0.0290032i
\(189\) 166090. 166090.i 0.338212 0.338212i
\(190\) −230232. + 4603.03i −0.462681 + 0.00925039i
\(191\) 570105. 1.13076 0.565382 0.824829i \(-0.308729\pi\)
0.565382 + 0.824829i \(0.308729\pi\)
\(192\) −526291. + 670533.i −1.03032 + 1.31271i
\(193\) −404843. −0.782335 −0.391168 0.920319i \(-0.627929\pi\)
−0.391168 + 0.920319i \(0.627929\pi\)
\(194\) 24891.6 497.658i 0.0474841 0.000949352i
\(195\) −196161. + 196161.i −0.369425 + 0.369425i
\(196\) 465707. 18629.2i 0.865910 0.0346382i
\(197\) 165404. + 165404.i 0.303655 + 0.303655i 0.842442 0.538787i \(-0.181117\pi\)
−0.538787 + 0.842442i \(0.681117\pi\)
\(198\) 685652. 713628.i 1.24291 1.29363i
\(199\) 160343.i 0.287023i 0.989649 + 0.143512i \(0.0458395\pi\)
−0.989649 + 0.143512i \(0.954161\pi\)
\(200\) −6780.89 112934.i −0.0119870 0.199640i
\(201\) 636753.i 1.11168i
\(202\) −409292. 393247.i −0.705756 0.678089i
\(203\) −270681. 270681.i −0.461018 0.461018i
\(204\) −218555. + 236769.i −0.367693 + 0.398336i
\(205\) −121577. + 121577.i −0.202054 + 0.202054i
\(206\) 7439.56 + 372108.i 0.0122146 + 0.610943i
\(207\) 1.98228e6 3.21542
\(208\) 283211. 332554.i 0.453892 0.532972i
\(209\) −656830. −1.04013
\(210\) −3481.95 174158.i −0.00544847 0.272518i
\(211\) 811200. 811200.i 1.25436 1.25436i 0.300613 0.953746i \(-0.402809\pi\)
0.953746 0.300613i \(-0.0971914\pi\)
\(212\) −411030. 379411.i −0.628108 0.579789i
\(213\) −208306. 208306.i −0.314595 0.314595i
\(214\) −257374. 247285.i −0.384176 0.369116i
\(215\) 101032.i 0.149060i
\(216\) −671881. 595767.i −0.979846 0.868845i
\(217\) 246997.i 0.356076i
\(218\) −651181. + 677751.i −0.928027 + 0.965892i
\(219\) 1.49839e6 + 1.49839e6i 2.11113 + 2.11113i
\(220\) −12898.5 322447.i −0.0179673 0.449161i
\(221\) 116756. 116756.i 0.160805 0.160805i
\(222\) 1.32683e6 26527.4i 1.80690 0.0361254i
\(223\) 566028. 0.762212 0.381106 0.924531i \(-0.375543\pi\)
0.381106 + 0.924531i \(0.375543\pi\)
\(224\) 27369.1 + 272911.i 0.0364453 + 0.363413i
\(225\) 271060. 0.356952
\(226\) 276857. 5535.21i 0.360566 0.00720881i
\(227\) 632132. 632132.i 0.814222 0.814222i −0.171042 0.985264i \(-0.554713\pi\)
0.985264 + 0.171042i \(0.0547133\pi\)
\(228\) 54177.5 + 1.35437e6i 0.0690211 + 1.72544i
\(229\) 370947. + 370947.i 0.467437 + 0.467437i 0.901083 0.433646i \(-0.142773\pi\)
−0.433646 + 0.901083i \(0.642773\pi\)
\(230\) 447838. 466110.i 0.558214 0.580990i
\(231\) 496857.i 0.612635i
\(232\) −970937. + 1.09498e6i −1.18433 + 1.33563i
\(233\) 1.20923e6i 1.45922i 0.683864 + 0.729609i \(0.260298\pi\)
−0.683864 + 0.729609i \(0.739702\pi\)
\(234\) 754652. + 725068.i 0.900963 + 0.865644i
\(235\) −194259. 194259.i −0.229462 0.229462i
\(236\) 699716. + 645889.i 0.817790 + 0.754880i
\(237\) −678592. + 678592.i −0.784762 + 0.784762i
\(238\) 2072.48 + 103660.i 0.00237164 + 0.118623i
\(239\) −794920. −0.900179 −0.450089 0.892983i \(-0.648608\pi\)
−0.450089 + 0.892983i \(0.648608\pi\)
\(240\) −663815. + 53193.0i −0.743908 + 0.0596110i
\(241\) 109688. 0.121651 0.0608256 0.998148i \(-0.480627\pi\)
0.0608256 + 0.998148i \(0.480627\pi\)
\(242\) −188.309 9418.72i −0.000206696 0.0103384i
\(243\) −417251. + 417251.i −0.453296 + 0.453296i
\(244\) 424925. 460337.i 0.456918 0.494996i
\(245\) 257475. + 257475.i 0.274044 + 0.274044i
\(246\) 729786. + 701177.i 0.768879 + 0.738737i
\(247\) 694588.i 0.724411i
\(248\) 942577. 56595.2i 0.973167 0.0584320i
\(249\) 3.04185e6i 3.10914i
\(250\) 61238.2 63736.8i 0.0619687 0.0644971i
\(251\) −577816. 577816.i −0.578902 0.578902i 0.355699 0.934601i \(-0.384243\pi\)
−0.934601 + 0.355699i \(0.884243\pi\)
\(252\) −656610. + 26265.8i −0.651338 + 0.0260548i
\(253\) 1.30370e6 1.30370e6i 1.28049 1.28049i
\(254\) −1.98009e6 + 39587.9i −1.92575 + 0.0385016i
\(255\) −251734. −0.242433
\(256\) 1.03520e6 166977.i 0.987240 0.159242i
\(257\) 1.40471e6 1.32664 0.663322 0.748334i \(-0.269146\pi\)
0.663322 + 0.748334i \(0.269146\pi\)
\(258\) 594569. 11887.2i 0.556100 0.0111181i
\(259\) 301950. 301950.i 0.279695 0.279695i
\(260\) 340983. 13640.0i 0.312824 0.0125136i
\(261\) −2.47928e6 2.47928e6i −2.25281 2.25281i
\(262\) 1.15409e6 1.20117e6i 1.03869 1.08107i
\(263\) 1.85749e6i 1.65591i −0.560793 0.827956i \(-0.689504\pi\)
0.560793 0.827956i \(-0.310496\pi\)
\(264\) −1.89608e6 + 113846.i −1.67435 + 0.100533i
\(265\) 437010.i 0.382276i
\(266\) 314504. + 302175.i 0.272535 + 0.261851i
\(267\) −2.32468e6 2.32468e6i −1.99566 1.99566i
\(268\) 531291. 575567.i 0.451851 0.489507i
\(269\) 734413. 734413.i 0.618813 0.618813i −0.326414 0.945227i \(-0.605840\pi\)
0.945227 + 0.326414i \(0.105840\pi\)
\(270\) −14023.2 701404.i −0.0117068 0.585543i
\(271\) −449174. −0.371528 −0.185764 0.982594i \(-0.559476\pi\)
−0.185764 + 0.982594i \(0.559476\pi\)
\(272\) 395108. 31660.9i 0.323812 0.0259478i
\(273\) 525420. 0.426677
\(274\) 38674.3 + 1.93439e6i 0.0311204 + 1.55657i
\(275\) 178271. 178271.i 0.142151 0.142151i
\(276\) −2.79574e6 2.58067e6i −2.20915 2.03920i
\(277\) −303653. 303653.i −0.237782 0.237782i 0.578149 0.815931i \(-0.303775\pi\)
−0.815931 + 0.578149i \(0.803775\pi\)
\(278\) 1.10117e6 + 1.05800e6i 0.854562 + 0.821061i
\(279\) 2.26235e6i 1.74000i
\(280\) −142166. + 160329.i −0.108368 + 0.122213i
\(281\) 741380.i 0.560112i 0.959984 + 0.280056i \(0.0903531\pi\)
−0.959984 + 0.280056i \(0.909647\pi\)
\(282\) −1.12035e6 + 1.16606e6i −0.838942 + 0.873172i
\(283\) −425683. 425683.i −0.315951 0.315951i 0.531259 0.847210i \(-0.321719\pi\)
−0.847210 + 0.531259i \(0.821719\pi\)
\(284\) 14484.5 + 362095.i 0.0106563 + 0.266395i
\(285\) −748788. + 748788.i −0.546068 + 0.546068i
\(286\) 973182. 19456.9i 0.703524 0.0140656i
\(287\) 325647. 0.233369
\(288\) 250685. + 2.49970e6i 0.178093 + 1.77585i
\(289\) −1.27002e6 −0.894472
\(290\) −1.14310e6 + 22853.9i −0.798156 + 0.0159575i
\(291\) 80955.6 80955.6i 0.0560421 0.0560421i
\(292\) −104190. 2.60463e6i −0.0715107 1.78768i
\(293\) −1.68987e6 1.68987e6i −1.14996 1.14996i −0.986560 0.163402i \(-0.947753\pi\)
−0.163402 0.986560i \(-0.552247\pi\)
\(294\) 1.48494e6 1.54553e6i 1.00194 1.04282i
\(295\) 743943.i 0.497719i
\(296\) −1.22147e6 1.08310e6i −0.810315 0.718519i
\(297\) 2.00104e6i 1.31633i
\(298\) 319182. + 306670.i 0.208208 + 0.200046i
\(299\) 1.37865e6 + 1.37865e6i 0.891816 + 0.891816i
\(300\) −382295. 352887.i −0.245243 0.226377i
\(301\) 135307. 135307.i 0.0860805 0.0860805i
\(302\) 33439.4 + 1.67255e6i 0.0210980 + 1.05527i
\(303\) −2.61012e6 −1.63325
\(304\) 1.08108e6 1.26943e6i 0.670924 0.787817i
\(305\) 489434. 0.301262
\(306\) 18982.7 + 949467.i 0.0115892 + 0.579664i
\(307\) −1.01461e6 + 1.01461e6i −0.614403 + 0.614403i −0.944090 0.329688i \(-0.893057\pi\)
0.329688 + 0.944090i \(0.393057\pi\)
\(308\) −414565. + 449114.i −0.249009 + 0.269761i
\(309\) 1.21021e6 + 1.21021e6i 0.721051 + 0.721051i
\(310\) 531966. + 511112.i 0.314398 + 0.302073i
\(311\) 1.13472e6i 0.665253i −0.943059 0.332627i \(-0.892065\pi\)
0.943059 0.332627i \(-0.107935\pi\)
\(312\) −120391. 2.00508e6i −0.0700176 1.16612i
\(313\) 1.93126e6i 1.11424i 0.830432 + 0.557120i \(0.188094\pi\)
−0.830432 + 0.557120i \(0.811906\pi\)
\(314\) 423443. 440720.i 0.242365 0.252254i
\(315\) −363020. 363020.i −0.206136 0.206136i
\(316\) 1.17959e6 47185.8i 0.664526 0.0265824i
\(317\) −1.01603e6 + 1.01603e6i −0.567881 + 0.567881i −0.931534 0.363653i \(-0.881529\pi\)
0.363653 + 0.931534i \(0.381529\pi\)
\(318\) −2.57180e6 + 51418.0i −1.42616 + 0.0285133i
\(319\) −3.26114e6 −1.79429
\(320\) 644412. + 505789.i 0.351794 + 0.276118i
\(321\) −1.64131e6 −0.889056
\(322\) −1.22401e6 + 24471.7i −0.657878 + 0.0131530i
\(323\) 445685. 445685.i 0.237696 0.237696i
\(324\) −756371. + 30256.4i −0.400288 + 0.0160123i
\(325\) 188519. + 188519.i 0.0990027 + 0.0990027i
\(326\) 950354. 989130.i 0.495269 0.515477i
\(327\) 4.32212e6i 2.23526i
\(328\) −74616.5 1.24272e6i −0.0382957 0.637804i
\(329\) 520324.i 0.265024i
\(330\) −1.07010e6 1.02815e6i −0.540926 0.519721i
\(331\) 2.26166e6 + 2.26166e6i 1.13464 + 1.13464i 0.989396 + 0.145244i \(0.0463968\pi\)
0.145244 + 0.989396i \(0.453603\pi\)
\(332\) 2.53805e6 2.74956e6i 1.26373 1.36905i
\(333\) 2.76568e6 2.76568e6i 1.36676 1.36676i
\(334\) −6645.87 332409.i −0.00325976 0.163045i
\(335\) 611947. 0.297922
\(336\) 960258. + 817780.i 0.464023 + 0.395174i
\(337\) −2.88561e6 −1.38409 −0.692043 0.721856i \(-0.743289\pi\)
−0.692043 + 0.721856i \(0.743289\pi\)
\(338\) −21408.6 1.07080e6i −0.0101929 0.509821i
\(339\) 900429. 900429.i 0.425550 0.425550i
\(340\) 227545. + 210041.i 0.106751 + 0.0985386i
\(341\) 1.48790e6 + 1.48790e6i 0.692928 + 0.692928i
\(342\) 2.88067e6 + 2.76774e6i 1.33177 + 1.27956i
\(343\) 1.48546e6i 0.681751i
\(344\) −547355. 485348.i −0.249387 0.221135i
\(345\) 2.97245e6i 1.34452i
\(346\) −104157. + 108407.i −0.0467735 + 0.0486820i
\(347\) −2.27827e6 2.27827e6i −1.01574 1.01574i −0.999874 0.0158647i \(-0.994950\pi\)
−0.0158647 0.999874i \(-0.505050\pi\)
\(348\) 268990. + 6.72441e6i 0.119066 + 2.97650i
\(349\) −408431. + 408431.i −0.179496 + 0.179496i −0.791136 0.611640i \(-0.790510\pi\)
0.611640 + 0.791136i \(0.290510\pi\)
\(350\) −167374. + 3346.31i −0.0730326 + 0.00146014i
\(351\) 2.11607e6 0.916775
\(352\) 1.80887e6 + 1.47913e6i 0.778129 + 0.636283i
\(353\) 2.60658e6 1.11336 0.556678 0.830728i \(-0.312076\pi\)
0.556678 + 0.830728i \(0.312076\pi\)
\(354\) 4.37809e6 87531.3i 1.85685 0.0371240i
\(355\) −200191. + 200191.i −0.0843089 + 0.0843089i
\(356\) 161647. + 4.04096e6i 0.0675992 + 1.68989i
\(357\) 337137. + 337137.i 0.140003 + 0.140003i
\(358\) −1.29381e6 + 1.34660e6i −0.533537 + 0.555306i
\(359\) 2.71605e6i 1.11225i −0.831100 0.556123i \(-0.812288\pi\)
0.831100 0.556123i \(-0.187712\pi\)
\(360\) −1.30215e6 + 1.46851e6i −0.529549 + 0.597203i
\(361\) 175295.i 0.0707948i
\(362\) −2.21944e6 2.13243e6i −0.890166 0.855270i
\(363\) −30632.7 30632.7i −0.0122017 0.0122017i
\(364\) −474932. 438397.i −0.187879 0.173426i
\(365\) 1.44002e6 1.44002e6i 0.565765 0.565765i
\(366\) −57586.1 2.88031e6i −0.0224706 1.12392i
\(367\) 1.39948e6 0.542377 0.271189 0.962526i \(-0.412583\pi\)
0.271189 + 0.962526i \(0.412583\pi\)
\(368\) 373849. + 4.66539e6i 0.143905 + 1.79584i
\(369\) 2.98273e6 1.14038
\(370\) −25494.0 1.27514e6i −0.00968129 0.484234i
\(371\) −585269. + 585269.i −0.220760 + 0.220760i
\(372\) 2.94529e6 3.19075e6i 1.10350 1.19546i
\(373\) 1.81071e6 + 1.81071e6i 0.673871 + 0.673871i 0.958606 0.284735i \(-0.0919058\pi\)
−0.284735 + 0.958606i \(0.591906\pi\)
\(374\) 636930. + 611961.i 0.235458 + 0.226227i
\(375\) 406459.i 0.149258i
\(376\) 1.98563e6 119223.i 0.724318 0.0434903i
\(377\) 3.44862e6i 1.24966i
\(378\) −920580. + 958141.i −0.331384 + 0.344905i
\(379\) −264000. 264000.i −0.0944075 0.0944075i 0.658326 0.752733i \(-0.271265\pi\)
−0.752733 + 0.658326i \(0.771265\pi\)
\(380\) 1.30161e6 52066.9i 0.462403 0.0184971i
\(381\) −6.43988e6 + 6.43988e6i −2.27282 + 2.27282i
\(382\) −3.22436e6 + 64464.7i −1.13054 + 0.0226029i
\(383\) −3.94046e6 −1.37262 −0.686310 0.727309i \(-0.740771\pi\)
−0.686310 + 0.727309i \(0.740771\pi\)
\(384\) 2.90074e6 3.85186e6i 1.00388 1.33304i
\(385\) −477501. −0.164181
\(386\) 2.28968e6 45777.6i 0.782179 0.0156381i
\(387\) 1.23933e6 1.23933e6i 0.420640 0.420640i
\(388\) −140724. + 5629.24i −0.0474557 + 0.00189832i
\(389\) −1.48348e6 1.48348e6i −0.497060 0.497060i 0.413462 0.910521i \(-0.364320\pi\)
−0.910521 + 0.413462i \(0.864320\pi\)
\(390\) 1.08725e6 1.13161e6i 0.361966 0.376735i
\(391\) 1.76923e6i 0.585250i
\(392\) −2.63180e6 + 158022.i −0.865045 + 0.0519399i
\(393\) 7.66007e6i 2.50179i
\(394\) −954183. 916777.i −0.309664 0.297525i
\(395\) 652156. + 652156.i 0.210310 + 0.210310i
\(396\) −3.79717e6 + 4.11361e6i −1.21681 + 1.31821i
\(397\) −982167. + 982167.i −0.312759 + 0.312759i −0.845977 0.533219i \(-0.820982\pi\)
0.533219 + 0.845977i \(0.320982\pi\)
\(398\) −18130.8 906856.i −0.00573732 0.286966i
\(399\) 2.00564e6 0.630697
\(400\) 51120.8 + 637955.i 0.0159753 + 0.199361i
\(401\) −5.85944e6 −1.81968 −0.909840 0.414958i \(-0.863796\pi\)
−0.909840 + 0.414958i \(0.863796\pi\)
\(402\) −72000.9 3.60130e6i −0.0222215 1.11146i
\(403\) −1.57343e6 + 1.57343e6i −0.482599 + 0.482599i
\(404\) 2.35931e6 + 2.17781e6i 0.719169 + 0.663846i
\(405\) −418174. 418174.i −0.126683 0.126683i
\(406\) 1.56151e6 + 1.50029e6i 0.470142 + 0.451711i
\(407\) 3.63786e6i 1.08858i
\(408\) 1.20931e6 1.36381e6i 0.359657 0.405606i
\(409\) 4.44740e6i 1.31461i 0.753623 + 0.657307i \(0.228304\pi\)
−0.753623 + 0.657307i \(0.771696\pi\)
\(410\) 673861. 701356.i 0.197975 0.206053i
\(411\) 6.29126e6 + 6.29126e6i 1.83710 + 1.83710i
\(412\) −84152.1 2.10370e6i −0.0244243 0.610576i
\(413\) 996331. 996331.i 0.287428 0.287428i
\(414\) −1.12112e7 + 224146.i −3.21478 + 0.0642732i
\(415\) 2.92335e6 0.833223
\(416\) −1.56416e6 + 1.91286e6i −0.443148 + 0.541938i
\(417\) 7.02235e6 1.97762
\(418\) 3.71485e6 74271.0i 1.03992 0.0207912i
\(419\) −1.45666e6 + 1.45666e6i −0.405343 + 0.405343i −0.880111 0.474768i \(-0.842532\pi\)
0.474768 + 0.880111i \(0.342532\pi\)
\(420\) 39385.9 + 984597.i 0.0108948 + 0.272355i
\(421\) −2.98545e6 2.98545e6i −0.820927 0.820927i 0.165314 0.986241i \(-0.447136\pi\)
−0.986241 + 0.165314i \(0.947136\pi\)
\(422\) −4.49620e6 + 4.67965e6i −1.22904 + 1.27918i
\(423\) 4.76586e6i 1.29506i
\(424\) 2.36758e6 + 2.09937e6i 0.639572 + 0.567118i
\(425\) 241928.i 0.0649701i
\(426\) 1.20167e6 + 1.15457e6i 0.320821 + 0.308244i
\(427\) −655478. 655478.i −0.173976 0.173976i
\(428\) 1.48360e6 + 1.36947e6i 0.391478 + 0.361363i
\(429\) 3.16510e6 3.16510e6i 0.830319 0.830319i
\(430\) −11424.1 571407.i −0.00297956 0.149030i
\(431\) 5.51572e6 1.43024 0.715120 0.699002i \(-0.246372\pi\)
0.715120 + 0.699002i \(0.246372\pi\)
\(432\) 3.86734e6 + 3.29352e6i 0.997017 + 0.849085i
\(433\) −882779. −0.226273 −0.113136 0.993579i \(-0.536090\pi\)
−0.113136 + 0.993579i \(0.536090\pi\)
\(434\) −27929.2 1.39695e6i −0.00711762 0.356005i
\(435\) −3.71772e6 + 3.71772e6i −0.942005 + 0.942005i
\(436\) 3.60627e6 3.90680e6i 0.908535 0.984250i
\(437\) 5.26260e6 + 5.26260e6i 1.31825 + 1.31825i
\(438\) −8.64392e6 8.30506e6i −2.15291 2.06851i
\(439\) 2.41671e6i 0.598499i −0.954175 0.299249i \(-0.903264\pi\)
0.954175 0.299249i \(-0.0967362\pi\)
\(440\) 109411. + 1.82221e6i 0.0269420 + 0.448712i
\(441\) 6.31679e6i 1.54668i
\(442\) −647140. + 673545.i −0.157559 + 0.163987i
\(443\) 1.52505e6 + 1.52505e6i 0.369211 + 0.369211i 0.867190 0.497978i \(-0.165924\pi\)
−0.497978 + 0.867190i \(0.665924\pi\)
\(444\) −7.50120e6 + 300063.i −1.80582 + 0.0722363i
\(445\) −2.23412e6 + 2.23412e6i −0.534819 + 0.534819i
\(446\) −3.20130e6 + 64003.7i −0.762060 + 0.0152359i
\(447\) 2.03547e6 0.481833
\(448\) −185652. 1.54041e6i −0.0437023 0.362612i
\(449\) 558470. 0.130733 0.0653663 0.997861i \(-0.479178\pi\)
0.0653663 + 0.997861i \(0.479178\pi\)
\(450\) −1.53304e6 + 30650.2i −0.356881 + 0.00713512i
\(451\) 1.96168e6 1.96168e6i 0.454138 0.454138i
\(452\) −1.56520e6 + 62611.3i −0.360350 + 0.0144147i
\(453\) 5.43968e6 + 5.43968e6i 1.24545 + 1.24545i
\(454\) −3.50368e6 + 3.64664e6i −0.797784 + 0.830335i
\(455\) 504951.i 0.114346i
\(456\) −459558. 7.65381e6i −0.103497 1.72372i
\(457\) 2.88592e6i 0.646388i −0.946333 0.323194i \(-0.895243\pi\)
0.946333 0.323194i \(-0.104757\pi\)
\(458\) −2.13992e6 2.05603e6i −0.476687 0.458000i
\(459\) 1.35778e6 + 1.35778e6i 0.300815 + 0.300815i
\(460\) −2.48014e6 + 2.68683e6i −0.546489 + 0.592032i
\(461\) −584765. + 584765.i −0.128153 + 0.128153i −0.768274 0.640121i \(-0.778884\pi\)
0.640121 + 0.768274i \(0.278884\pi\)
\(462\) 56182.1 + 2.81009e6i 0.0122460 + 0.612512i
\(463\) −4.42061e6 −0.958362 −0.479181 0.877716i \(-0.659066\pi\)
−0.479181 + 0.877716i \(0.659066\pi\)
\(464\) 5.36754e6 6.30270e6i 1.15739 1.35904i
\(465\) 3.39243e6 0.727575
\(466\) −136734. 6.83909e6i −0.0291684 1.45893i
\(467\) −2.77168e6 + 2.77168e6i −0.588100 + 0.588100i −0.937117 0.349017i \(-0.886516\pi\)
0.349017 + 0.937117i \(0.386516\pi\)
\(468\) −4.35009e6 4.01545e6i −0.918087 0.847461i
\(469\) −819555. 819555.i −0.172046 0.172046i
\(470\) 1.12064e6 + 1.07671e6i 0.234003 + 0.224829i
\(471\) 2.81054e6i 0.583764i
\(472\) −4.03043e6 3.57385e6i −0.832716 0.738382i
\(473\) 1.63017e6i 0.335027i
\(474\) 3.76120e6 3.91466e6i 0.768918 0.800292i
\(475\) 719618. + 719618.i 0.146342 + 0.146342i
\(476\) −23442.8 586040.i −0.00474233 0.118552i
\(477\) −5.36072e6 + 5.36072e6i −1.07877 + 1.07877i
\(478\) 4.49585e6 89885.6i 0.899999 0.0179937i
\(479\) −6.54764e6 −1.30391 −0.651953 0.758259i \(-0.726050\pi\)
−0.651953 + 0.758259i \(0.726050\pi\)
\(480\) 3.74834e6 375906.i 0.742567 0.0744691i
\(481\) 3.84699e6 0.758156
\(482\) −620365. + 12403.0i −0.121627 + 0.00243169i
\(483\) −3.98088e6 + 3.98088e6i −0.776446 + 0.776446i
\(484\) 2130.05 + 53248.4i 0.000413310 + 0.0103322i
\(485\) −77801.8 77801.8i −0.0150188 0.0150188i
\(486\) 2.31268e6 2.40704e6i 0.444145 0.462267i
\(487\) 4.90015e6i 0.936239i 0.883665 + 0.468119i \(0.155068\pi\)
−0.883665 + 0.468119i \(0.844932\pi\)
\(488\) −2.35121e6 + 2.65159e6i −0.446932 + 0.504030i
\(489\) 6.30783e6i 1.19291i
\(490\) −1.48532e6 1.42709e6i −0.279467 0.268511i
\(491\) 1.79890e6 + 1.79890e6i 0.336746 + 0.336746i 0.855141 0.518395i \(-0.173470\pi\)
−0.518395 + 0.855141i \(0.673470\pi\)
\(492\) −4.20675e6 3.88314e6i −0.783492 0.723220i
\(493\) 2.21281e6 2.21281e6i 0.410041 0.410041i
\(494\) 78540.6 + 3.92840e6i 0.0144803 + 0.724266i
\(495\) −4.37363e6 −0.802285
\(496\) −5.32456e6 + 426669.i −0.971805 + 0.0778730i
\(497\) 536214. 0.0973749
\(498\) −343958. 1.72039e7i −0.0621487 3.10852i
\(499\) −1.01225e6 + 1.01225e6i −0.181986 + 0.181986i −0.792221 0.610235i \(-0.791075\pi\)
0.610235 + 0.792221i \(0.291075\pi\)
\(500\) −339139. + 367402.i −0.0606671 + 0.0657229i
\(501\) −1.08110e6 1.08110e6i −0.192430 0.192430i
\(502\) 3.33330e6 + 3.20263e6i 0.590358 + 0.567215i
\(503\) 2.25290e6i 0.397029i 0.980098 + 0.198515i \(0.0636117\pi\)
−0.980098 + 0.198515i \(0.936388\pi\)
\(504\) 3.71064e6 222798.i 0.650687 0.0390693i
\(505\) 2.50843e6i 0.437698i
\(506\) −7.22597e6 + 7.52080e6i −1.25464 + 1.30583i
\(507\) −3.48260e6 3.48260e6i −0.601705 0.601705i
\(508\) 1.11943e7 447797.i 1.92459 0.0769877i
\(509\) 5.75178e6 5.75178e6i 0.984028 0.984028i −0.0158462 0.999874i \(-0.505044\pi\)
0.999874 + 0.0158462i \(0.00504422\pi\)
\(510\) 1.42374e6 28464.9i 0.242385 0.00484600i
\(511\) −3.85711e6 −0.653446
\(512\) −5.83590e6 + 1.06143e6i −0.983859 + 0.178944i
\(513\) 8.07750e6 1.35514
\(514\) −7.94467e6 + 158838.i −1.32638 + 0.0265183i
\(515\) 1.16307e6 1.16307e6i 0.193236 0.193236i
\(516\) −3.36137e6 + 134462.i −0.555767 + 0.0222318i
\(517\) 3.13441e6 + 3.13441e6i 0.515738 + 0.515738i
\(518\) −1.67360e6 + 1.74189e6i −0.274049 + 0.285230i
\(519\) 691330.i 0.112659i
\(520\) −1.92697e6 + 115701.i −0.312511 + 0.0187641i
\(521\) 5.60222e6i 0.904204i −0.891966 0.452102i \(-0.850674\pi\)
0.891966 0.452102i \(-0.149326\pi\)
\(522\) 1.43025e7 + 1.37418e7i 2.29739 + 2.20733i
\(523\) 5.10306e6 + 5.10306e6i 0.815786 + 0.815786i 0.985494 0.169708i \(-0.0542825\pi\)
−0.169708 + 0.985494i \(0.554282\pi\)
\(524\) −6.39137e6 + 6.92401e6i −1.01687 + 1.10161i
\(525\) −544353. + 544353.i −0.0861951 + 0.0861951i
\(526\) 210036. + 1.05055e7i 0.0331001 + 1.65558i
\(527\) −2.01920e6 −0.316703
\(528\) 1.07108e7 858283.i 1.67201 0.133982i
\(529\) −1.44545e7 −2.24576
\(530\) 49415.0 + 2.47161e6i 0.00764133 + 0.382200i
\(531\) 9.12579e6 9.12579e6i 1.40454 1.40454i
\(532\) −1.81292e6 1.67346e6i −0.277715 0.256351i
\(533\) 2.07445e6 + 2.07445e6i 0.316290 + 0.316290i
\(534\) 1.34106e7 + 1.28849e7i 2.03515 + 1.95537i
\(535\) 1.57737e6i 0.238259i
\(536\) −2.93975e6 + 3.31532e6i −0.441976 + 0.498441i
\(537\) 8.58749e6i 1.28508i
\(538\) −4.07059e6 + 4.23668e6i −0.606320 + 0.631059i
\(539\) −4.15442e6 4.15442e6i −0.615941 0.615941i
\(540\) 158623. + 3.96536e6i 0.0234089 + 0.585192i
\(541\) −1.10690e6 + 1.10690e6i −0.162598 + 0.162598i −0.783717 0.621119i \(-0.786679\pi\)
0.621119 + 0.783717i \(0.286679\pi\)
\(542\) 2.54041e6 50790.4i 0.371454 0.00742649i
\(543\) −1.41537e7 −2.06001
\(544\) −2.23104e6 + 223742.i −0.323229 + 0.0324153i
\(545\) 4.15374e6 0.599030
\(546\) −2.97163e6 + 59411.8i −0.426592 + 0.00852887i
\(547\) 3.37869e6 3.37869e6i 0.482814 0.482814i −0.423216 0.906029i \(-0.639099\pi\)
0.906029 + 0.423216i \(0.139099\pi\)
\(548\) −437462. 1.09360e7i −0.0622285 1.55563i
\(549\) −6.00379e6 6.00379e6i −0.850148 0.850148i
\(550\) −988093. + 1.02841e6i −0.139281 + 0.144964i
\(551\) 1.31641e7i 1.84719i
\(552\) 1.61038e7 + 1.42795e7i 2.24947 + 1.99464i
\(553\) 1.74681e6i 0.242903i
\(554\) 1.75171e6 + 1.68304e6i 0.242487 + 0.232981i
\(555\) −4.14718e6 4.14718e6i −0.571506 0.571506i
\(556\) −6.34757e6 5.85927e6i −0.870804 0.803815i
\(557\) 4.48151e6 4.48151e6i 0.612050 0.612050i −0.331430 0.943480i \(-0.607531\pi\)
0.943480 + 0.331430i \(0.107531\pi\)
\(558\) −255815. 1.27952e7i −0.0347809 1.73965i
\(559\) 1.72388e6 0.233334
\(560\) 785922. 922850.i 0.105903 0.124354i
\(561\) 4.06180e6 0.544893
\(562\) −83831.6 4.19304e6i −0.0111961 0.560000i
\(563\) 1.67275e6 1.67275e6i 0.222413 0.222413i −0.587101 0.809514i \(-0.699731\pi\)
0.809514 + 0.587101i \(0.199731\pi\)
\(564\) 6.20455e6 6.72162e6i 0.821320 0.889767i
\(565\) −865352. 865352.i −0.114044 0.114044i
\(566\) 2.45568e6 + 2.35941e6i 0.322203 + 0.309572i
\(567\) 1.12008e6i 0.146316i
\(568\) −122864. 2.04627e6i −0.0159792 0.266129i
\(569\) 1.59258e6i 0.206215i −0.994670 0.103107i \(-0.967121\pi\)
0.994670 0.103107i \(-0.0328785\pi\)
\(570\) 4.15027e6 4.31961e6i 0.535044 0.556875i
\(571\) 6.70109e6 + 6.70109e6i 0.860113 + 0.860113i 0.991351 0.131238i \(-0.0418952\pi\)
−0.131238 + 0.991351i \(0.541895\pi\)
\(572\) −5.50185e6 + 220085.i −0.703103 + 0.0281255i
\(573\) −1.04867e7 + 1.04867e7i −1.33429 + 1.33429i
\(574\) −1.84177e6 + 36822.5i −0.233322 + 0.00466481i
\(575\) −2.85666e6 −0.360320
\(576\) −1.70046e6 1.41093e7i −0.213555 1.77194i
\(577\) −1.11744e7 −1.39728 −0.698642 0.715472i \(-0.746212\pi\)
−0.698642 + 0.715472i \(0.746212\pi\)
\(578\) 7.18290e6 143608.i 0.894294 0.0178796i
\(579\) 7.44678e6 7.44678e6i 0.923149 0.923149i
\(580\) 6.46245e6 258511.i 0.797677 0.0319087i
\(581\) −3.91512e6 3.91512e6i −0.481177 0.481177i
\(582\) −448708. + 467016.i −0.0549106 + 0.0571511i
\(583\) 7.05127e6i 0.859204i
\(584\) 883791. + 1.47193e7i 0.107230 + 1.78589i
\(585\) 4.62505e6i 0.558762i
\(586\) 9.74850e6 + 9.36633e6i 1.17272 + 1.12674i
\(587\) 5.65681e6 + 5.65681e6i 0.677604 + 0.677604i 0.959457 0.281853i \(-0.0909492\pi\)
−0.281853 + 0.959457i \(0.590949\pi\)
\(588\) −8.22366e6 + 8.90900e6i −0.980894 + 1.06264i
\(589\) −6.00614e6 + 6.00614e6i −0.713357 + 0.713357i
\(590\) −84121.4 4.20754e6i −0.00994893 0.497620i
\(591\) −6.08497e6 −0.716621
\(592\) 7.03077e6 + 5.98758e6i 0.824515 + 0.702178i
\(593\) 4.90260e6 0.572518 0.286259 0.958152i \(-0.407588\pi\)
0.286259 + 0.958152i \(0.407588\pi\)
\(594\) 226268. + 1.13173e7i 0.0263121 + 1.31607i
\(595\) 324003. 324003.i 0.0375195 0.0375195i
\(596\) −1.83988e6 1.69835e6i −0.212166 0.195844i
\(597\) −2.94939e6 2.94939e6i −0.338685 0.338685i
\(598\) −7.95314e6 7.64136e6i −0.909465 0.873812i
\(599\) 1.22461e7i 1.39454i −0.716811 0.697268i \(-0.754399\pi\)
0.716811 0.697268i \(-0.245601\pi\)
\(600\) 2.20206e6 + 1.95260e6i 0.249719 + 0.221429i
\(601\) 8.55036e6i 0.965602i 0.875730 + 0.482801i \(0.160380\pi\)
−0.875730 + 0.482801i \(0.839620\pi\)
\(602\) −749960. + 780560.i −0.0843426 + 0.0877840i
\(603\) −7.50663e6 7.50663e6i −0.840721 0.840721i
\(604\) −378248. 9.45571e6i −0.0421875 1.05463i
\(605\) −29439.4 + 29439.4i −0.00326995 + 0.00326995i
\(606\) 1.47621e7 295139.i 1.63293 0.0326471i
\(607\) 1.28126e7 1.41145 0.705727 0.708483i \(-0.250620\pi\)
0.705727 + 0.708483i \(0.250620\pi\)
\(608\) −5.97075e6 + 7.30180e6i −0.655043 + 0.801070i
\(609\) 9.95796e6 1.08800
\(610\) −2.76810e6 + 55342.8i −0.301202 + 0.00602194i
\(611\) −3.31460e6 + 3.31460e6i −0.359193 + 0.359193i
\(612\) −214722. 5.36778e6i −0.0231738 0.579316i
\(613\) −3.54523e6 3.54523e6i −0.381060 0.381060i 0.490424 0.871484i \(-0.336842\pi\)
−0.871484 + 0.490424i \(0.836842\pi\)
\(614\) 5.62362e6 5.85308e6i 0.601998 0.626561i
\(615\) 4.47265e6i 0.476845i
\(616\) 2.29388e6 2.58694e6i 0.243567 0.274685i
\(617\) 1.00790e7i 1.06587i 0.846157 + 0.532934i \(0.178911\pi\)
−0.846157 + 0.532934i \(0.821089\pi\)
\(618\) −6.98148e6 6.70779e6i −0.735320 0.706494i
\(619\) −1.66361e6 1.66361e6i −0.174511 0.174511i 0.614447 0.788958i \(-0.289379\pi\)
−0.788958 + 0.614447i \(0.789379\pi\)
\(620\) −3.06645e6 2.83055e6i −0.320373 0.295728i
\(621\) −1.60326e7 + 1.60326e7i −1.66830 + 1.66830i
\(622\) 128308. + 6.41765e6i 0.0132978 + 0.665120i
\(623\) 5.98413e6 0.617704
\(624\) 907622. + 1.13265e7i 0.0933133 + 1.16449i
\(625\) −390625. −0.0400000
\(626\) −218377. 1.09227e7i −0.0222726 1.11402i
\(627\) 1.20819e7 1.20819e7i 1.22734 1.22734i
\(628\) −2.34504e6 + 2.54047e6i −0.237275 + 0.257049i
\(629\) 2.46843e6 + 2.46843e6i 0.248768 + 0.248768i
\(630\) 2.09419e6 + 2.01209e6i 0.210215 + 0.201974i
\(631\) 2.86871e6i 0.286823i −0.989663 0.143411i \(-0.954193\pi\)
0.989663 0.143411i \(-0.0458072\pi\)
\(632\) −6.66608e6 + 400252.i −0.663862 + 0.0398603i
\(633\) 2.98428e7i 2.96027i
\(634\) 5.63148e6 5.86126e6i 0.556416 0.579119i
\(635\) 6.18901e6 + 6.18901e6i 0.609097 + 0.609097i
\(636\) 1.45396e7 581613.i 1.42531 0.0570152i
\(637\) 4.39325e6 4.39325e6i 0.428980 0.428980i
\(638\) 1.84441e7 368754.i 1.79393 0.0358662i
\(639\) 4.91140e6 0.475831
\(640\) −3.70181e6 2.78773e6i −0.357243 0.269030i
\(641\) 1.14965e7 1.10515 0.552574 0.833464i \(-0.313646\pi\)
0.552574 + 0.833464i \(0.313646\pi\)
\(642\) 9.28282e6 185592.i 0.888878 0.0177714i
\(643\) −5.39178e6 + 5.39178e6i −0.514286 + 0.514286i −0.915837 0.401551i \(-0.868471\pi\)
0.401551 + 0.915837i \(0.368471\pi\)
\(644\) 6.91990e6 276810.i 0.657484 0.0263007i
\(645\) −1.85840e6 1.85840e6i −0.175889 0.175889i
\(646\) −2.47027e6 + 2.57107e6i −0.232897 + 0.242400i
\(647\) 7.41931e6i 0.696792i 0.937348 + 0.348396i \(0.113273\pi\)
−0.937348 + 0.348396i \(0.886727\pi\)
\(648\) 4.27440e6 256648.i 0.399887 0.0240105i
\(649\) 1.20037e7i 1.11867i
\(650\) −1.08753e6 1.04490e6i −0.100962 0.0970039i
\(651\) −4.54333e6 4.54333e6i −0.420167 0.420167i
\(652\) −5.26309e6 + 5.70171e6i −0.484867 + 0.525274i
\(653\) 9.78315e6 9.78315e6i 0.897834 0.897834i −0.0974106 0.995244i \(-0.531056\pi\)
0.995244 + 0.0974106i \(0.0310560\pi\)
\(654\) −488724. 2.44447e7i −0.0446806 2.23481i
\(655\) −7.36166e6 −0.670460
\(656\) 562530. + 7.02002e6i 0.0510371 + 0.636911i
\(657\) −3.53288e7 −3.19312
\(658\) −58835.7 2.94281e6i −0.00529756 0.264971i
\(659\) 1.35446e7 1.35446e7i 1.21493 1.21493i 0.245546 0.969385i \(-0.421033\pi\)
0.969385 0.245546i \(-0.0789672\pi\)
\(660\) 6.16843e6 + 5.69391e6i 0.551207 + 0.508804i
\(661\) 1.81393e6 + 1.81393e6i 0.161479 + 0.161479i 0.783222 0.621743i \(-0.213575\pi\)
−0.621743 + 0.783222i \(0.713575\pi\)
\(662\) −1.30471e7 1.25356e7i −1.15709 1.11173i
\(663\) 4.29529e6i 0.379498i
\(664\) −1.40436e7 + 1.58377e7i −1.23611 + 1.39403i
\(665\) 1.92751e6i 0.169021i
\(666\) −1.53292e7 + 1.59547e7i −1.33916 + 1.39380i
\(667\) 2.61287e7 + 2.61287e7i 2.27407 + 2.27407i
\(668\) 75174.4 + 1.87926e6i 0.00651821 + 0.162947i
\(669\) −1.04117e7 + 1.04117e7i −0.899404 + 0.899404i
\(670\) −3.46101e6 + 69196.0i −0.297862 + 0.00595516i
\(671\) −7.89714e6 −0.677117
\(672\) −5.52342e6 4.51656e6i −0.471830 0.385819i
\(673\) −4.08750e6 −0.347873 −0.173936 0.984757i \(-0.555649\pi\)
−0.173936 + 0.984757i \(0.555649\pi\)
\(674\) 1.63202e7 326291.i 1.38381 0.0276665i
\(675\) −2.19233e6 + 2.19233e6i −0.185202 + 0.185202i
\(676\) 242162. + 6.05375e6i 0.0203817 + 0.509516i
\(677\) −1.24789e7 1.24789e7i −1.04641 1.04641i −0.998869 0.0475455i \(-0.984860\pi\)
−0.0475455 0.998869i \(-0.515140\pi\)
\(678\) −4.99076e6 + 5.19440e6i −0.416958 + 0.433971i
\(679\) 208393.i 0.0173464i
\(680\) −1.31068e6 1.16220e6i −0.108699 0.0963851i
\(681\) 2.32552e7i 1.92155i
\(682\) −8.58340e6 8.24691e6i −0.706640 0.678938i
\(683\) −4.56348e6 4.56348e6i −0.374322 0.374322i 0.494727 0.869048i \(-0.335268\pi\)
−0.869048 + 0.494727i \(0.835268\pi\)
\(684\) −1.66052e7 1.53279e7i −1.35708 1.25268i
\(685\) 6.04617e6 6.04617e6i 0.492327 0.492327i
\(686\) 167968. + 8.40135e6i 0.0136275 + 0.681615i
\(687\) −1.36466e7 −1.10314
\(688\) 3.15057e6 + 2.68310e6i 0.253757 + 0.216106i
\(689\) −7.45662e6 −0.598404
\(690\) 336110. + 1.68114e7i 0.0268757 + 1.34425i
\(691\) −1.61581e6 + 1.61581e6i −0.128735 + 0.128735i −0.768538 0.639804i \(-0.779016\pi\)
0.639804 + 0.768538i \(0.279016\pi\)
\(692\) 576828. 624899.i 0.0457911 0.0496072i
\(693\) 5.85741e6 + 5.85741e6i 0.463311 + 0.463311i
\(694\) 1.31429e7 + 1.26277e7i 1.03584 + 0.995232i
\(695\) 6.74878e6i 0.529985i
\(696\) −2.28170e6 3.80010e7i −0.178540 2.97353i
\(697\) 2.66216e6i 0.207564i
\(698\) 2.26379e6 2.35616e6i 0.175872 0.183048i
\(699\) −2.22429e7 2.22429e7i −1.72187 1.72187i
\(700\) 946241. 37851.6i 0.0729889 0.00291970i
\(701\) −6.34810e6 + 6.34810e6i −0.487920 + 0.487920i −0.907649 0.419729i \(-0.862125\pi\)
0.419729 + 0.907649i \(0.362125\pi\)
\(702\) −1.19679e7 + 239275.i −0.916591 + 0.0183254i
\(703\) 1.46848e7 1.12068
\(704\) −1.03977e7 8.16103e6i −0.790692 0.620602i
\(705\) 7.14648e6 0.541526
\(706\) −1.47421e7 + 294739.i −1.11313 + 0.0222549i
\(707\) 3.35944e6 3.35944e6i 0.252766 0.252766i
\(708\) −2.47514e7 + 990106.i −1.85574 + 0.0742332i
\(709\) −3.83290e6 3.83290e6i −0.286360 0.286360i 0.549279 0.835639i \(-0.314902\pi\)
−0.835639 + 0.549279i \(0.814902\pi\)
\(710\) 1.10959e6 1.15486e6i 0.0826068 0.0859773i
\(711\) 1.59997e7i 1.18697i
\(712\) −1.37116e6 2.28363e7i −0.101365 1.68821i
\(713\) 2.38425e7i 1.75642i
\(714\) −1.94488e6 1.86863e6i −0.142773 0.137176i
\(715\) −3.04180e6 3.04180e6i −0.222518 0.222518i
\(716\) 7.16519e6 7.76232e6i 0.522330 0.565860i
\(717\) 1.46220e7 1.46220e7i 1.06220 1.06220i
\(718\) 307117. + 1.53612e7i 0.0222327 + 1.11202i
\(719\) 1.87300e7 1.35119 0.675595 0.737273i \(-0.263887\pi\)
0.675595 + 0.737273i \(0.263887\pi\)
\(720\) 7.19857e6 8.45275e6i 0.517506 0.607669i
\(721\) −3.11529e6 −0.223183
\(722\) 19821.5 + 991420.i 0.00141512 + 0.0707807i
\(723\) −2.01763e6 + 2.01763e6i −0.143547 + 0.143547i
\(724\) 1.27936e7 + 1.18095e7i 0.907084 + 0.837305i
\(725\) 3.57289e6 + 3.57289e6i 0.252449 + 0.252449i
\(726\) 176714. + 169787.i 0.0124431 + 0.0119553i
\(727\) 7.77537e6i 0.545614i −0.962069 0.272807i \(-0.912048\pi\)
0.962069 0.272807i \(-0.0879520\pi\)
\(728\) 2.73566e6 + 2.42575e6i 0.191308 + 0.169636i
\(729\) 2.10983e7i 1.47038i
\(730\) −7.98152e6 + 8.30718e6i −0.554343 + 0.576961i
\(731\) 1.10613e6 + 1.10613e6i 0.0765622 + 0.0765622i
\(732\) 651383. + 1.62837e7i 0.0449323 + 1.12325i
\(733\) 6.12002e6 6.12002e6i 0.420719 0.420719i −0.464732 0.885451i \(-0.653849\pi\)
0.885451 + 0.464732i \(0.153849\pi\)
\(734\) −7.91507e6 + 158246.i −0.542269 + 0.0108416i
\(735\) −9.47212e6 −0.646739
\(736\) −2.64192e6 2.63439e7i −0.179774 1.79261i
\(737\) −9.87392e6 −0.669608
\(738\) −1.68695e7 + 337272.i −1.14015 + 0.0227950i
\(739\) −1.20529e7 + 1.20529e7i −0.811860 + 0.811860i −0.984913 0.173052i \(-0.944637\pi\)
0.173052 + 0.984913i \(0.444637\pi\)
\(740\) 288374. + 7.20898e6i 0.0193587 + 0.483943i
\(741\) 1.27764e7 + 1.27764e7i 0.854799 + 0.854799i
\(742\) 3.24394e6 3.37630e6i 0.216303 0.225129i
\(743\) 9.16016e6i 0.608739i −0.952554 0.304369i \(-0.901554\pi\)
0.952554 0.304369i \(-0.0984457\pi\)
\(744\) −1.62970e7 + 1.83790e7i −1.07938 + 1.21728i
\(745\) 1.95618e6i 0.129127i
\(746\) −1.04456e7 1.00361e7i −0.687206 0.660266i
\(747\) −3.58602e7 3.58602e7i −2.35132 2.35132i
\(748\) −3.67150e6 3.38906e6i −0.239933 0.221475i
\(749\) 2.11251e6 2.11251e6i 0.137592 0.137592i
\(750\) 45960.4 + 2.29882e6i 0.00298353 + 0.149229i
\(751\) 2.06289e7 1.33468 0.667338 0.744755i \(-0.267434\pi\)
0.667338 + 0.744755i \(0.267434\pi\)
\(752\) −1.12167e7 + 898821.i −0.723304 + 0.0579600i
\(753\) 2.12570e7 1.36620
\(754\) 389952. + 1.95044e7i 0.0249795 + 1.24941i
\(755\) 5.22777e6 5.22777e6i 0.333771 0.333771i
\(756\) 5.09820e6 5.52307e6i 0.324424 0.351460i
\(757\) 4.39846e6 + 4.39846e6i 0.278972 + 0.278972i 0.832699 0.553726i \(-0.186795\pi\)
−0.553726 + 0.832699i \(0.686795\pi\)
\(758\) 1.52296e6 + 1.46326e6i 0.0962757 + 0.0925015i
\(759\) 4.79613e7i 3.02194i
\(760\) −7.35564e6 + 441656.i −0.461941 + 0.0277364i
\(761\) 9.17319e6i 0.574194i 0.957901 + 0.287097i \(0.0926903\pi\)
−0.957901 + 0.287097i \(0.907310\pi\)
\(762\) 3.56940e7 3.71504e7i 2.22694 2.31780i