Properties

Label 36.6.h.a.11.1
Level 36
Weight 6
Character 36.11
Analytic conductor 5.774
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 36.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.77381751327\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.1
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.58478 + 0.900118i) q^{2} +(-10.9673 + 11.0778i) q^{3} +(30.3796 - 10.0539i) q^{4} +(-78.5398 + 45.3450i) q^{5} +(51.2786 - 71.7391i) q^{6} +(69.6792 + 40.2293i) q^{7} +(-160.614 + 83.4942i) q^{8} +(-2.43645 - 242.988i) q^{9} +O(q^{10})\) \(q+(-5.58478 + 0.900118i) q^{2} +(-10.9673 + 11.0778i) q^{3} +(30.3796 - 10.0539i) q^{4} +(-78.5398 + 45.3450i) q^{5} +(51.2786 - 71.7391i) q^{6} +(69.6792 + 40.2293i) q^{7} +(-160.614 + 83.4942i) q^{8} +(-2.43645 - 242.988i) q^{9} +(397.812 - 323.937i) q^{10} +(275.903 - 477.878i) q^{11} +(-221.806 + 446.804i) q^{12} +(-307.186 - 532.062i) q^{13} +(-425.354 - 161.952i) q^{14} +(359.046 - 1367.36i) q^{15} +(821.837 - 610.868i) q^{16} +482.387i q^{17} +(232.325 + 1354.84i) q^{18} +453.989i q^{19} +(-1930.11 + 2167.19i) q^{20} +(-1209.85 + 330.687i) q^{21} +(-1110.71 + 2917.19i) q^{22} +(310.876 + 538.452i) q^{23} +(836.564 - 2694.96i) q^{24} +(2549.83 - 4416.44i) q^{25} +(2194.49 + 2694.95i) q^{26} +(2718.50 + 2637.93i) q^{27} +(2521.29 + 521.599i) q^{28} +(-7777.18 - 4490.16i) q^{29} +(-774.406 + 7959.60i) q^{30} +(650.730 - 375.699i) q^{31} +(-4039.93 + 4151.32i) q^{32} +(2267.94 + 8297.44i) q^{33} +(-434.205 - 2694.03i) q^{34} -7296.79 q^{35} +(-2517.00 - 7357.37i) q^{36} -4221.49 q^{37} +(-408.644 - 2535.43i) q^{38} +(9263.09 + 2432.33i) q^{39} +(8828.51 - 13840.6i) q^{40} +(11012.8 - 6358.24i) q^{41} +(6459.07 - 2935.82i) q^{42} +(-13956.9 - 8058.04i) q^{43} +(3577.26 - 17291.6i) q^{44} +(11209.6 + 18973.7i) q^{45} +(-2220.84 - 2727.31i) q^{46} +(9570.02 - 16575.8i) q^{47} +(-2246.25 + 15803.7i) q^{48} +(-5166.71 - 8949.00i) q^{49} +(-10264.9 + 26960.0i) q^{50} +(-5343.80 - 5290.48i) q^{51} +(-14681.5 - 13075.4i) q^{52} +8422.39i q^{53} +(-17556.7 - 12285.3i) q^{54} +50043.2i q^{55} +(-14550.3 - 643.562i) q^{56} +(-5029.21 - 4979.04i) q^{57} +(47475.5 + 18076.2i) q^{58} +(-2693.87 - 4665.91i) q^{59} +(-2839.69 - 45149.7i) q^{60} +(-5910.89 + 10238.0i) q^{61} +(-3296.01 + 2683.93i) q^{62} +(9605.46 - 17029.2i) q^{63} +(18825.4 - 26820.6i) q^{64} +(48252.7 + 27858.7i) q^{65} +(-20134.6 - 44298.0i) q^{66} +(-27131.6 + 15664.5i) q^{67} +(4849.88 + 14654.7i) q^{68} +(-9374.35 - 2461.55i) q^{69} +(40751.0 - 6567.97i) q^{70} -68895.9 q^{71} +(20679.4 + 38823.7i) q^{72} -23822.3 q^{73} +(23576.1 - 3799.84i) q^{74} +(20959.8 + 76683.0i) q^{75} +(4564.37 + 13792.0i) q^{76} +(38449.4 - 22198.8i) q^{77} +(-53921.7 - 5246.16i) q^{78} +(19337.5 + 11164.5i) q^{79} +(-36847.1 + 85243.6i) q^{80} +(-59037.1 + 1184.06i) q^{81} +(-55780.9 + 45422.2i) q^{82} +(39320.2 - 68104.6i) q^{83} +(-33429.9 + 22209.8i) q^{84} +(-21873.8 - 37886.6i) q^{85} +(85199.7 + 32439.5i) q^{86} +(135036. - 36909.3i) q^{87} +(-4413.71 + 99790.0i) q^{88} -87925.1i q^{89} +(-79681.9 - 95874.1i) q^{90} -49431.5i q^{91} +(14857.8 + 13232.4i) q^{92} +(-2974.82 + 11329.1i) q^{93} +(-38526.3 + 101186. i) q^{94} +(-20586.1 - 35656.2i) q^{95} +(-1680.45 - 90282.4i) q^{96} +(-39159.6 + 67826.3i) q^{97} +(36910.1 + 45327.5i) q^{98} +(-116791. - 65876.7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} + O(q^{10}) \) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} - 68q^{10} - 486q^{12} - 2q^{13} - 1518q^{14} - q^{16} + 1992q^{18} - 1242q^{20} + 330q^{21} + 63q^{22} + 2235q^{24} + 12498q^{25} - 2052q^{28} - 11946q^{29} - 6882q^{30} - 7233q^{32} + 17040q^{33} + 6361q^{34} + 6399q^{36} - 8q^{37} - 14877q^{38} - 1526q^{40} - 43536q^{41} + 18564q^{42} - 42q^{45} - 26880q^{46} - 5931q^{48} + 38414q^{49} + 38631q^{50} + 24988q^{52} + 37587q^{54} + 21186q^{56} - 90786q^{57} - 3314q^{58} + 60930q^{60} - 2q^{61} - 106342q^{64} + 35970q^{65} - 47838q^{66} + 31413q^{68} - 1854q^{69} + 10524q^{70} - 130941q^{72} + 53620q^{73} - 20406q^{74} + 26193q^{76} + 26178q^{77} - 96684q^{78} - 14790q^{81} - 151286q^{82} + 141630q^{84} + 6248q^{85} + 279237q^{86} - 122541q^{88} + 235278q^{90} + 435804q^{92} + 71838q^{93} + 63480q^{94} - 37476q^{96} - 58148q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.58478 + 0.900118i −0.987259 + 0.159120i
\(3\) −10.9673 + 11.0778i −0.703553 + 0.710643i
\(4\) 30.3796 10.0539i 0.949362 0.314185i
\(5\) −78.5398 + 45.3450i −1.40496 + 0.811155i −0.994897 0.100901i \(-0.967828\pi\)
−0.410066 + 0.912056i \(0.634494\pi\)
\(6\) 51.2786 71.7391i 0.581512 0.813538i
\(7\) 69.6792 + 40.2293i 0.537475 + 0.310311i 0.744055 0.668118i \(-0.232900\pi\)
−0.206580 + 0.978430i \(0.566233\pi\)
\(8\) −160.614 + 83.4942i −0.887273 + 0.461245i
\(9\) −2.43645 242.988i −0.0100266 0.999950i
\(10\) 397.812 323.937i 1.25799 1.02438i
\(11\) 275.903 477.878i 0.687503 1.19079i −0.285140 0.958486i \(-0.592040\pi\)
0.972643 0.232304i \(-0.0746265\pi\)
\(12\) −221.806 + 446.804i −0.444653 + 0.895703i
\(13\) −307.186 532.062i −0.504131 0.873180i −0.999989 0.00477646i \(-0.998480\pi\)
0.495858 0.868404i \(-0.334854\pi\)
\(14\) −425.354 161.952i −0.580004 0.220835i
\(15\) 359.046 1367.36i 0.412024 1.56912i
\(16\) 821.837 610.868i 0.802575 0.596551i
\(17\) 482.387i 0.404830i 0.979300 + 0.202415i \(0.0648791\pi\)
−0.979300 + 0.202415i \(0.935121\pi\)
\(18\) 232.325 + 1354.84i 0.169011 + 0.985614i
\(19\) 453.989i 0.288510i 0.989541 + 0.144255i \(0.0460786\pi\)
−0.989541 + 0.144255i \(0.953921\pi\)
\(20\) −1930.11 + 2167.19i −1.07896 + 1.21150i
\(21\) −1209.85 + 330.687i −0.598662 + 0.163632i
\(22\) −1110.71 + 2917.19i −0.489265 + 1.28501i
\(23\) 310.876 + 538.452i 0.122537 + 0.212240i 0.920767 0.390112i \(-0.127564\pi\)
−0.798231 + 0.602352i \(0.794230\pi\)
\(24\) 836.564 2694.96i 0.296463 0.955044i
\(25\) 2549.83 4416.44i 0.815946 1.41326i
\(26\) 2194.49 + 2694.95i 0.636648 + 0.781838i
\(27\) 2718.50 + 2637.93i 0.717661 + 0.696392i
\(28\) 2521.29 + 521.599i 0.607753 + 0.125731i
\(29\) −7777.18 4490.16i −1.71723 0.991440i −0.923893 0.382652i \(-0.875011\pi\)
−0.793332 0.608789i \(-0.791656\pi\)
\(30\) −774.406 + 7959.60i −0.157096 + 1.61469i
\(31\) 650.730 375.699i 0.121618 0.0702159i −0.437957 0.898996i \(-0.644298\pi\)
0.559575 + 0.828780i \(0.310965\pi\)
\(32\) −4039.93 + 4151.32i −0.697427 + 0.716656i
\(33\) 2267.94 + 8297.44i 0.362532 + 1.32635i
\(34\) −434.205 2694.03i −0.0644166 0.399673i
\(35\) −7296.79 −1.00684
\(36\) −2517.00 7357.37i −0.323688 0.946164i
\(37\) −4221.49 −0.506946 −0.253473 0.967342i \(-0.581573\pi\)
−0.253473 + 0.967342i \(0.581573\pi\)
\(38\) −408.644 2535.43i −0.0459077 0.284834i
\(39\) 9263.09 + 2432.33i 0.975202 + 0.256072i
\(40\) 8828.51 13840.6i 0.872444 1.36775i
\(41\) 11012.8 6358.24i 1.02315 0.590714i 0.108133 0.994136i \(-0.465513\pi\)
0.915014 + 0.403422i \(0.132179\pi\)
\(42\) 6459.07 2935.82i 0.564998 0.256807i
\(43\) −13956.9 8058.04i −1.15112 0.664597i −0.201957 0.979394i \(-0.564730\pi\)
−0.949159 + 0.314797i \(0.898063\pi\)
\(44\) 3577.26 17291.6i 0.278560 1.34649i
\(45\) 11209.6 + 18973.7i 0.825202 + 1.39676i
\(46\) −2220.84 2727.31i −0.154747 0.190038i
\(47\) 9570.02 16575.8i 0.631929 1.09453i −0.355228 0.934780i \(-0.615597\pi\)
0.987157 0.159753i \(-0.0510697\pi\)
\(48\) −2246.25 + 15803.7i −0.140719 + 0.990050i
\(49\) −5166.71 8949.00i −0.307414 0.532457i
\(50\) −10264.9 + 26960.0i −0.580672 + 1.52509i
\(51\) −5343.80 5290.48i −0.287690 0.284820i
\(52\) −14681.5 13075.4i −0.752943 0.670573i
\(53\) 8422.39i 0.411856i 0.978567 + 0.205928i \(0.0660213\pi\)
−0.978567 + 0.205928i \(0.933979\pi\)
\(54\) −17556.7 12285.3i −0.819328 0.573325i
\(55\) 50043.2i 2.23069i
\(56\) −14550.3 643.562i −0.620016 0.0274233i
\(57\) −5029.21 4979.04i −0.205028 0.202982i
\(58\) 47475.5 + 18076.2i 1.85310 + 0.705564i
\(59\) −2693.87 4665.91i −0.100750 0.174505i 0.811244 0.584708i \(-0.198791\pi\)
−0.911994 + 0.410204i \(0.865458\pi\)
\(60\) −2839.69 45149.7i −0.101834 1.61911i
\(61\) −5910.89 + 10238.0i −0.203390 + 0.352281i −0.949618 0.313408i \(-0.898529\pi\)
0.746229 + 0.665689i \(0.231862\pi\)
\(62\) −3296.01 + 2683.93i −0.108895 + 0.0886731i
\(63\) 9605.46 17029.2i 0.304907 0.540559i
\(64\) 18825.4 26820.6i 0.574507 0.818500i
\(65\) 48252.7 + 27858.7i 1.41657 + 0.817857i
\(66\) −20134.6 44298.0i −0.568962 1.25177i
\(67\) −27131.6 + 15664.5i −0.738395 + 0.426313i −0.821486 0.570229i \(-0.806854\pi\)
0.0830902 + 0.996542i \(0.473521\pi\)
\(68\) 4849.88 + 14654.7i 0.127192 + 0.384331i
\(69\) −9374.35 2461.55i −0.237038 0.0622422i
\(70\) 40751.0 6567.97i 0.994014 0.160209i
\(71\) −68895.9 −1.62199 −0.810994 0.585054i \(-0.801073\pi\)
−0.810994 + 0.585054i \(0.801073\pi\)
\(72\) 20679.4 + 38823.7i 0.470118 + 0.882604i
\(73\) −23822.3 −0.523210 −0.261605 0.965175i \(-0.584252\pi\)
−0.261605 + 0.965175i \(0.584252\pi\)
\(74\) 23576.1 3799.84i 0.500487 0.0806652i
\(75\) 20959.8 + 76683.0i 0.430262 + 1.57415i
\(76\) 4564.37 + 13792.0i 0.0906457 + 0.273901i
\(77\) 38449.4 22198.8i 0.739031 0.426680i
\(78\) −53921.7 5246.16i −1.00352 0.0976349i
\(79\) 19337.5 + 11164.5i 0.348604 + 0.201267i 0.664070 0.747670i \(-0.268828\pi\)
−0.315466 + 0.948937i \(0.602161\pi\)
\(80\) −36847.1 + 85243.6i −0.643692 + 1.48914i
\(81\) −59037.1 + 1184.06i −0.999799 + 0.0200521i
\(82\) −55780.9 + 45422.2i −0.916117 + 0.745991i
\(83\) 39320.2 68104.6i 0.626499 1.08513i −0.361750 0.932275i \(-0.617821\pi\)
0.988249 0.152853i \(-0.0488461\pi\)
\(84\) −33429.9 + 22209.8i −0.516936 + 0.343437i
\(85\) −21873.8 37886.6i −0.328380 0.568772i
\(86\) 85199.7 + 32439.5i 1.24220 + 0.472964i
\(87\) 135036. 36909.3i 1.91272 0.522803i
\(88\) −4413.71 + 99790.0i −0.0607572 + 1.37366i
\(89\) 87925.1i 1.17662i −0.808634 0.588312i \(-0.799793\pi\)
0.808634 0.588312i \(-0.200207\pi\)
\(90\) −79681.9 95874.1i −1.03694 1.24766i
\(91\) 49431.5i 0.625750i
\(92\) 14857.8 + 13232.4i 0.183015 + 0.162993i
\(93\) −2974.82 + 11329.1i −0.0356659 + 0.135827i
\(94\) −38526.3 + 101186.i −0.449715 + 1.18114i
\(95\) −20586.1 35656.2i −0.234027 0.405346i
\(96\) −1680.45 90282.4i −0.0186100 0.999827i
\(97\) −39159.6 + 67826.3i −0.422580 + 0.731929i −0.996191 0.0871983i \(-0.972209\pi\)
0.573611 + 0.819128i \(0.305542\pi\)
\(98\) 36910.1 + 45327.5i 0.388222 + 0.476757i
\(99\) −116791. 65876.7i −1.19762 0.675529i
\(100\) 33060.2 159805.i 0.330602 1.59805i
\(101\) −22486.3 12982.5i −0.219339 0.126635i 0.386305 0.922371i \(-0.373751\pi\)
−0.605644 + 0.795736i \(0.707084\pi\)
\(102\) 34606.0 + 24736.1i 0.329345 + 0.235414i
\(103\) 21490.3 12407.4i 0.199595 0.115236i −0.396872 0.917874i \(-0.629904\pi\)
0.596466 + 0.802638i \(0.296571\pi\)
\(104\) 93762.4 + 59808.1i 0.850051 + 0.542222i
\(105\) 80026.1 80832.5i 0.708367 0.715505i
\(106\) −7581.14 47037.2i −0.0655345 0.406609i
\(107\) 105956. 0.894680 0.447340 0.894364i \(-0.352371\pi\)
0.447340 + 0.894364i \(0.352371\pi\)
\(108\) 109108. + 52807.6i 0.900116 + 0.435649i
\(109\) −24092.4 −0.194229 −0.0971146 0.995273i \(-0.530961\pi\)
−0.0971146 + 0.995273i \(0.530961\pi\)
\(110\) −45044.8 279481.i −0.354947 2.20227i
\(111\) 46298.4 46765.0i 0.356663 0.360258i
\(112\) 81839.7 9502.87i 0.616480 0.0715830i
\(113\) 7844.35 4528.94i 0.0577911 0.0333657i −0.470826 0.882226i \(-0.656044\pi\)
0.528617 + 0.848860i \(0.322711\pi\)
\(114\) 32568.8 + 23279.9i 0.234714 + 0.167772i
\(115\) −48832.2 28193.3i −0.344320 0.198793i
\(116\) −281411. 58217.8i −1.94176 0.401709i
\(117\) −128536. + 75938.8i −0.868082 + 0.512860i
\(118\) 19244.5 + 23633.3i 0.127234 + 0.156250i
\(119\) −19406.1 + 33612.3i −0.125623 + 0.217586i
\(120\) 56499.1 + 249595.i 0.358170 + 1.58228i
\(121\) −71719.4 124222.i −0.445321 0.771318i
\(122\) 23795.7 62497.3i 0.144743 0.380156i
\(123\) −50345.2 + 191731.i −0.300051 + 1.14269i
\(124\) 15991.6 17956.0i 0.0933982 0.104871i
\(125\) 179082.i 1.02513i
\(126\) −38316.1 + 103750.i −0.215008 + 0.582189i
\(127\) 195212.i 1.07398i 0.843587 + 0.536992i \(0.180439\pi\)
−0.843587 + 0.536992i \(0.819561\pi\)
\(128\) −80994.2 + 166732.i −0.436947 + 0.899487i
\(129\) 242336. 66237.5i 1.28216 0.350453i
\(130\) −294557. 112152.i −1.52866 0.582032i
\(131\) 126871. + 219747.i 0.645929 + 1.11878i 0.984086 + 0.177693i \(0.0568632\pi\)
−0.338157 + 0.941090i \(0.609803\pi\)
\(132\) 152321. + 229271.i 0.760894 + 1.14529i
\(133\) −18263.7 + 31633.6i −0.0895280 + 0.155067i
\(134\) 137424. 111904.i 0.661153 0.538375i
\(135\) −333127. 83912.3i −1.57317 0.396270i
\(136\) −40276.5 77477.9i −0.186726 0.359195i
\(137\) −108349. 62555.1i −0.493199 0.284748i 0.232702 0.972548i \(-0.425243\pi\)
−0.725900 + 0.687800i \(0.758577\pi\)
\(138\) 54569.4 + 5309.17i 0.243922 + 0.0237317i
\(139\) 155476. 89764.4i 0.682539 0.394064i −0.118272 0.992981i \(-0.537735\pi\)
0.800811 + 0.598917i \(0.204402\pi\)
\(140\) −221673. + 73361.4i −0.955858 + 0.316335i
\(141\) 78666.0 + 287806.i 0.333226 + 1.21914i
\(142\) 384769. 62014.5i 1.60132 0.258091i
\(143\) −339014. −1.38637
\(144\) −150436. 198208.i −0.604568 0.796554i
\(145\) 814424. 3.21685
\(146\) 133042. 21442.9i 0.516544 0.0832532i
\(147\) 155800. + 40910.5i 0.594668 + 0.156150i
\(148\) −128247. + 42442.6i −0.481275 + 0.159275i
\(149\) −395679. + 228445.i −1.46008 + 0.842978i −0.999014 0.0443874i \(-0.985866\pi\)
−0.461067 + 0.887366i \(0.652533\pi\)
\(150\) −186079. 409392.i −0.675259 1.48563i
\(151\) −189659. 109500.i −0.676909 0.390814i 0.121780 0.992557i \(-0.461140\pi\)
−0.798690 + 0.601743i \(0.794473\pi\)
\(152\) −37905.4 72916.8i −0.133074 0.255987i
\(153\) 117214. 1175.31i 0.404810 0.00405906i
\(154\) −194750. + 158584.i −0.661722 + 0.538838i
\(155\) −34072.1 + 59014.6i −0.113912 + 0.197301i
\(156\) 305863. 19237.3i 1.00627 0.0632896i
\(157\) 113832. + 197163.i 0.368566 + 0.638375i 0.989342 0.145614i \(-0.0465156\pi\)
−0.620776 + 0.783988i \(0.713182\pi\)
\(158\) −118045. 44945.3i −0.376188 0.143233i
\(159\) −93301.7 92370.9i −0.292683 0.289763i
\(160\) 129054. 509234.i 0.398539 1.57260i
\(161\) 50025.3i 0.152098i
\(162\) 328644. 59753.1i 0.983870 0.178885i
\(163\) 460735.i 1.35826i −0.734020 0.679128i \(-0.762358\pi\)
0.734020 0.679128i \(-0.237642\pi\)
\(164\) 270639. 303883.i 0.785743 0.882259i
\(165\) −554370. 548839.i −1.58522 1.56941i
\(166\) −158293. + 415742.i −0.445851 + 1.17099i
\(167\) 286572. + 496357.i 0.795137 + 1.37722i 0.922752 + 0.385395i \(0.125935\pi\)
−0.127614 + 0.991824i \(0.540732\pi\)
\(168\) 166707. 154128.i 0.455702 0.421316i
\(169\) −3080.17 + 5335.01i −0.00829579 + 0.0143687i
\(170\) 156263. + 191899.i 0.414699 + 0.509273i
\(171\) 110314. 1106.12i 0.288496 0.00289277i
\(172\) −505021. 104478.i −1.30163 0.269279i
\(173\) −283930. 163927.i −0.721268 0.416424i 0.0939514 0.995577i \(-0.470050\pi\)
−0.815219 + 0.579153i \(0.803383\pi\)
\(174\) −720923. + 327679.i −1.80516 + 0.820494i
\(175\) 355340. 205156.i 0.877101 0.506394i
\(176\) −65173.2 561278.i −0.158594 1.36583i
\(177\) 81232.6 + 21330.3i 0.194894 + 0.0511757i
\(178\) 79143.0 + 491043.i 0.187224 + 1.16163i
\(179\) 123110. 0.287185 0.143592 0.989637i \(-0.454135\pi\)
0.143592 + 0.989637i \(0.454135\pi\)
\(180\) 531304. + 463713.i 1.22226 + 1.06676i
\(181\) −311888. −0.707622 −0.353811 0.935317i \(-0.615114\pi\)
−0.353811 + 0.935317i \(0.615114\pi\)
\(182\) 44494.2 + 276064.i 0.0995693 + 0.617777i
\(183\) −48587.9 177763.i −0.107251 0.392386i
\(184\) −94888.5 60526.4i −0.206618 0.131796i
\(185\) 331555. 191423.i 0.712240 0.411212i
\(186\) 6416.23 65948.1i 0.0135987 0.139772i
\(187\) 230522. + 133092.i 0.482068 + 0.278322i
\(188\) 124082. 599781.i 0.256043 1.23765i
\(189\) 83300.6 + 293172.i 0.169627 + 0.596992i
\(190\) 147064. + 180602.i 0.295544 + 0.362943i
\(191\) 97915.9 169595.i 0.194209 0.336380i −0.752432 0.658670i \(-0.771119\pi\)
0.946641 + 0.322290i \(0.104453\pi\)
\(192\) 90649.7 + 502695.i 0.177465 + 0.984127i
\(193\) −296774. 514028.i −0.573499 0.993330i −0.996203 0.0870619i \(-0.972252\pi\)
0.422704 0.906268i \(-0.361081\pi\)
\(194\) 157646. 414044.i 0.300731 0.789845i
\(195\) −837815. + 229000.i −1.57784 + 0.431270i
\(196\) −246935. 219921.i −0.459137 0.408909i
\(197\) 100175.i 0.183905i 0.995763 + 0.0919523i \(0.0293107\pi\)
−0.995763 + 0.0919523i \(0.970689\pi\)
\(198\) 711548. + 262782.i 1.28986 + 0.476356i
\(199\) 402805.i 0.721045i 0.932751 + 0.360522i \(0.117402\pi\)
−0.932751 + 0.360522i \(0.882598\pi\)
\(200\) −40790.5 + 922236.i −0.0721082 + 1.63030i
\(201\) 124033. 472356.i 0.216544 0.824669i
\(202\) 137267. + 52264.0i 0.236694 + 0.0901206i
\(203\) −361272. 625741.i −0.615310 1.06575i
\(204\) −215532. 106996.i −0.362608 0.180009i
\(205\) −576628. + 998750.i −0.958322 + 1.65986i
\(206\) −108850. + 88636.5i −0.178715 + 0.145527i
\(207\) 130080. 76850.9i 0.211001 0.124659i
\(208\) −577477. 249618.i −0.925499 0.400053i
\(209\) 216951. + 125257.i 0.343555 + 0.198352i
\(210\) −374169. + 523465.i −0.585491 + 0.819105i
\(211\) 538419. 310856.i 0.832557 0.480677i −0.0221701 0.999754i \(-0.507058\pi\)
0.854728 + 0.519077i \(0.173724\pi\)
\(212\) 84678.1 + 255868.i 0.129399 + 0.391000i
\(213\) 755603. 763217.i 1.14115 1.15265i
\(214\) −591743. + 95373.3i −0.883281 + 0.142361i
\(215\) 1.46157e6 2.15637
\(216\) −656880. 196709.i −0.957969 0.286873i
\(217\) 60456.4 0.0871552
\(218\) 134551. 21686.1i 0.191755 0.0309058i
\(219\) 261266. 263899.i 0.368106 0.371816i
\(220\) 503131. + 1.52029e6i 0.700849 + 2.11773i
\(221\) 256660. 148183.i 0.353490 0.204088i
\(222\) −216472. + 302846.i −0.294795 + 0.412420i
\(223\) −1.11763e6 645261.i −1.50499 0.868907i −0.999983 0.00579252i \(-0.998156\pi\)
−0.505008 0.863115i \(1.33149\pi\)
\(224\) −448503. + 126737.i −0.597236 + 0.168765i
\(225\) −1.07935e6 608817.i −1.42137 0.801735i
\(226\) −39732.4 + 32354.0i −0.0517456 + 0.0421363i
\(227\) −435023. + 753483.i −0.560335 + 0.970529i 0.437132 + 0.899398i \(0.355994\pi\)
−0.997467 + 0.0711316i \(0.977339\pi\)
\(228\) −202844. 100698.i −0.258420 0.128287i
\(229\) 55144.9 + 95513.7i 0.0694891 + 0.120359i 0.898677 0.438612i \(-0.144530\pi\)
−0.829187 + 0.558971i \(0.811196\pi\)
\(230\) 298095. + 113499.i 0.371565 + 0.141472i
\(231\) −175772. + 669396.i −0.216731 + 0.825379i
\(232\) 1.62402e6 + 71830.6i 1.98094 + 0.0876172i
\(233\) 352716.i 0.425633i −0.977092 0.212817i \(-0.931736\pi\)
0.977092 0.212817i \(-0.0682637\pi\)
\(234\) 649492. 539800.i 0.775415 0.644455i
\(235\) 1.73581e6i 2.05037i
\(236\) −128749. 114665.i −0.150475 0.134014i
\(237\) −335759. + 91772.9i −0.388290 + 0.106131i
\(238\) 78123.7 205185.i 0.0894006 0.234803i
\(239\) −345720. 598804.i −0.391498 0.678094i 0.601150 0.799137i \(-0.294710\pi\)
−0.992647 + 0.121043i \(0.961376\pi\)
\(240\) −540201. 1.34308e6i −0.605378 1.50513i
\(241\) −37478.3 + 64914.3i −0.0415659 + 0.0719942i −0.886060 0.463571i \(-0.846568\pi\)
0.844494 + 0.535565i \(0.179901\pi\)
\(242\) 512351. + 629195.i 0.562379 + 0.690632i
\(243\) 634361. 666989.i 0.689162 0.724608i
\(244\) −76638.6 + 370453.i −0.0824087 + 0.398344i
\(245\) 811584. + 468568.i 0.863810 + 0.498721i
\(246\) 108587. 1.11609e6i 0.114403 1.17588i
\(247\) 241550. 139459.i 0.251921 0.145447i
\(248\) −73147.3 + 114674.i −0.0755212 + 0.118396i
\(249\) 323214. + 1.18251e6i 0.330363 + 1.20866i
\(250\) −161195. 1.00013e6i −0.163118 1.01206i
\(251\) −1.33103e6 −1.33353 −0.666767 0.745266i \(-0.732322\pi\)
−0.666767 + 0.745266i \(0.732322\pi\)
\(252\) 120599. 613913.i 0.119631 0.608983i
\(253\) 343086. 0.336978
\(254\) −175714. 1.09022e6i −0.170892 1.06030i
\(255\) 659598. + 173199.i 0.635226 + 0.166800i
\(256\) 302256. 1.00407e6i 0.288254 0.957554i
\(257\) −185992. + 107383.i −0.175656 + 0.101415i −0.585250 0.810853i \(-0.699004\pi\)
0.409594 + 0.912268i \(0.365670\pi\)
\(258\) −1.29377e6 + 588053.i −1.21006 + 0.550006i
\(259\) −294150. 169828.i −0.272471 0.157311i
\(260\) 1.74598e6 + 361206.i 1.60180 + 0.331377i
\(261\) −1.07210e6 + 1.90070e6i −0.974173 + 1.72708i
\(262\) −906347. 1.11304e6i −0.815720 1.00175i
\(263\) −327806. + 567776.i −0.292232 + 0.506160i −0.974337 0.225094i \(-0.927731\pi\)
0.682106 + 0.731254i \(0.261064\pi\)
\(264\) −1.05705e6 1.14332e6i −0.933438 1.00962i
\(265\) −381913. 661492.i −0.334079 0.578642i
\(266\) 73524.6 193106.i 0.0637131 0.167337i
\(267\) 974019. + 964302.i 0.836160 + 0.827818i
\(268\) −666758. + 748659.i −0.567063 + 0.636718i
\(269\) 424539.i 0.357715i −0.983875 0.178857i \(-0.942760\pi\)
0.983875 0.178857i \(-0.0572401\pi\)
\(270\) 1.93597e6 + 168778.i 1.61618 + 0.140899i
\(271\) 276579.i 0.228769i −0.993437 0.114384i \(-0.963510\pi\)
0.993437 0.114384i \(-0.0364895\pi\)
\(272\) 294675. + 396443.i 0.241502 + 0.324907i
\(273\) 547594. + 542131.i 0.444685 + 0.440248i
\(274\) 661410. + 251830.i 0.532224 + 0.202643i
\(275\) −1.40701e6 2.43702e6i −1.12193 1.94324i
\(276\) −309537. + 19468.4i −0.244591 + 0.0153835i
\(277\) 758444. 1.31366e6i 0.593915 1.02869i −0.399784 0.916609i \(-0.630915\pi\)
0.993699 0.112081i \(-0.0357517\pi\)
\(278\) −787503. + 641262.i −0.611140 + 0.497649i
\(279\) −92875.7 157204.i −0.0714318 0.120907i
\(280\) 1.17196e6 609239.i 0.893344 0.464401i
\(281\) 831581. + 480113.i 0.628259 + 0.362725i 0.780077 0.625683i \(-0.215180\pi\)
−0.151819 + 0.988408i \(0.548513\pi\)
\(282\) −698392. 1.53653e6i −0.522970 1.15058i
\(283\) −780527. + 450638.i −0.579325 + 0.334473i −0.760865 0.648910i \(-0.775225\pi\)
0.181540 + 0.983384i \(0.441892\pi\)
\(284\) −2.09303e6 + 692675.i −1.53985 + 0.509605i
\(285\) 620767. + 163003.i 0.452706 + 0.118873i
\(286\) 1.89332e6 305153.i 1.36870 0.220598i
\(287\) 1.02315e6 0.733221
\(288\) 1.01856e6 + 971538.i 0.723613 + 0.690206i
\(289\) 1.18716e6 0.836112
\(290\) −4.54838e6 + 733078.i −3.17586 + 0.511865i
\(291\) −321894. 1.17768e6i −0.222833 0.815254i
\(292\) −723711. + 239508.i −0.496716 + 0.164385i
\(293\) −1.02663e6 + 592723.i −0.698623 + 0.403350i −0.806835 0.590778i \(-0.798821\pi\)
0.108211 + 0.994128i \(0.465488\pi\)
\(294\) −906935. 88237.6i −0.611938 0.0595368i
\(295\) 423151. + 244307.i 0.283101 + 0.163448i
\(296\) 678029. 352470.i 0.449800 0.233826i
\(297\) 2.01065e6 571297.i 1.32265 0.375812i
\(298\) 2.00415e6 1.63197e6i 1.30734 1.06457i
\(299\) 190993. 330810.i 0.123549 0.213994i
\(300\) 1.40771e6 + 2.11887e6i 0.903049 + 1.35926i
\(301\) −648339. 1.12296e6i −0.412464 0.714408i
\(302\) 1.15777e6 + 440816.i 0.730471 + 0.278125i
\(303\) 390432. 106717.i 0.244309 0.0667769i
\(304\) 277327. + 373105.i 0.172111 + 0.231551i
\(305\) 1.07212e6i 0.659922i
\(306\) −653557. + 112070.i −0.399007 + 0.0684207i
\(307\) 740939.i 0.448680i 0.974511 + 0.224340i \(0.0720226\pi\)
−0.974511 + 0.224340i \(0.927977\pi\)
\(308\) 944891. 1.06096e6i 0.567551 0.637266i
\(309\) −98243.2 + 374141.i −0.0585337 + 0.222915i
\(310\) 137165. 360253.i 0.0810661 0.212913i
\(311\) 1.37781e6 + 2.38644e6i 0.807771 + 1.39910i 0.914404 + 0.404802i \(0.132660\pi\)
−0.106633 + 0.994298i \(0.534007\pi\)
\(312\) −1.69086e6 + 382749.i −0.983382 + 0.222601i
\(313\) −1.36134e6 + 2.35791e6i −0.785427 + 1.36040i 0.143317 + 0.989677i \(0.454223\pi\)
−0.928744 + 0.370722i \(0.879110\pi\)
\(314\) −813196. 998648.i −0.465448 0.571595i
\(315\) 17778.3 + 1.77303e6i 0.0100952 + 1.00679i
\(316\) 699713. + 144755.i 0.394187 + 0.0815486i
\(317\) −731344. 422242.i −0.408765 0.236001i 0.281494 0.959563i \(-0.409170\pi\)
−0.690259 + 0.723562i \(0.742503\pi\)
\(318\) 604214. + 431889.i 0.335061 + 0.239499i
\(319\) −4.29149e6 + 2.47770e6i −2.36119 + 1.36324i
\(320\) −262366. + 2.96012e6i −0.143230 + 1.61598i
\(321\) −1.16206e6 + 1.17377e6i −0.629455 + 0.635798i
\(322\) −45028.6 279380.i −0.0242019 0.150161i
\(323\) −218998. −0.116798
\(324\) −1.78162e6 + 629526.i −0.942871 + 0.333159i
\(325\) −3.13309e6 −1.64537
\(326\) 414716. + 2.57310e6i 0.216126 + 1.34095i
\(327\) 264229. 266892.i 0.136651 0.138028i
\(328\) −1.23793e6 + 1.94072e6i −0.635347 + 0.996046i
\(329\) 1.33366e6 769990.i 0.679291 0.392189i
\(330\) 3.59006e6 + 2.56615e6i 1.81475 + 1.29717i
\(331\) 1.52485e6 + 880372.i 0.764992 + 0.441668i 0.831085 0.556145i \(-0.187720\pi\)
−0.0660935 + 0.997813i \(0.521054\pi\)
\(332\) 509812. 2.46431e6i 0.253843 1.22702i
\(333\) 10285.5 + 1.02577e6i 0.00508293 + 0.506921i
\(334\) −2.04722e6 2.51410e6i −1.00415 1.23315i
\(335\) 1.42061e6 2.46057e6i 0.691612 1.19791i
\(336\) −792290. + 1.01083e6i −0.382857 + 0.488460i
\(337\) −1.23174e6 2.13344e6i −0.590806 1.02331i −0.994124 0.108246i \(-0.965477\pi\)
0.403318 0.915060i \(-0.367857\pi\)
\(338\) 12399.9 32567.4i 0.00590374 0.0155057i
\(339\) −35860.6 + 136569.i −0.0169480 + 0.0645433i
\(340\) −1.04543e6 931060.i −0.490451 0.436798i
\(341\) 414626.i 0.193095i
\(342\) −615083. + 105473.i −0.284360 + 0.0487613i
\(343\) 2.18368e6i 1.00220i
\(344\) 2.91447e6 + 128907.i 1.32790 + 0.0587329i
\(345\) 847878. 231750.i 0.383518 0.104827i
\(346\) 1.73324e6 + 659927.i 0.778340 + 0.296350i
\(347\) −473354. 819874.i −0.211039 0.365530i 0.741001 0.671504i \(-0.234351\pi\)
−0.952040 + 0.305974i \(0.901018\pi\)
\(348\) 3.73125e6 2.47893e6i 1.65160 1.09728i
\(349\) 1.96690e6 3.40677e6i 0.864408 1.49720i −0.00322519 0.999995i \(-0.501027\pi\)
0.867633 0.497204i \(-0.165640\pi\)
\(350\) −1.79983e6 + 1.46560e6i −0.785349 + 0.639507i
\(351\) 568458. 2.25675e6i 0.246281 0.977721i
\(352\) 869195. + 3.07595e6i 0.373904 + 1.32319i
\(353\) −3.34675e6 1.93225e6i −1.42951 0.825327i −0.432426 0.901669i \(-0.642342\pi\)
−0.997082 + 0.0763423i \(0.975676\pi\)
\(354\) −472866. 46006.2i −0.200554 0.0195123i
\(355\) 5.41107e6 3.12408e6i 2.27883 1.31568i
\(356\) −883993. 2.67113e6i −0.369678 1.11704i
\(357\) −159519. 583614.i −0.0662433 0.242357i
\(358\) −687543. + 110814.i −0.283526 + 0.0456968i
\(359\) −1.23588e6 −0.506106 −0.253053 0.967452i \(-0.581435\pi\)
−0.253053 + 0.967452i \(0.581435\pi\)
\(360\) −3.38462e6 2.11150e6i −1.37643 0.858686i
\(361\) 2.26999e6 0.916762
\(362\) 1.74182e6 280736.i 0.698607 0.112597i
\(363\) 2.16267e6 + 567881.i 0.861439 + 0.226199i
\(364\) −496981. 1.50171e6i −0.196601 0.594063i
\(365\) 1.87100e6 1.08022e6i 0.735091 0.424405i
\(366\) 431360. + 949031.i 0.168321 + 0.370321i
\(367\) −435715. 251560.i −0.168864 0.0974937i 0.413186 0.910647i \(-0.364416\pi\)
−0.582050 + 0.813153i \(0.697749\pi\)
\(368\) 584413. + 252616.i 0.224957 + 0.0972392i
\(369\) −1.57181e6 2.66048e6i −0.600943 1.01717i
\(370\) −1.67936e6 + 1.36750e6i −0.637734 + 0.519305i
\(371\) −338827. + 586865.i −0.127804 + 0.221362i
\(372\) 23527.9 + 374081.i 0.00881505 + 0.140155i
\(373\) 2.28143e6 + 3.95156e6i 0.849055 + 1.47061i 0.882052 + 0.471151i \(0.156161\pi\)
−0.0329973 + 0.999455i \(0.510505\pi\)
\(374\) −1.40721e6 535792.i −0.520213 0.198069i
\(375\) −1.98384e6 1.96405e6i −0.728498 0.721230i
\(376\) −153095. + 3.46133e6i −0.0558459 + 1.26262i
\(377\) 5.51726e6i 1.99926i
\(378\) −729106. 1.56232e6i −0.262459 0.562395i
\(379\) 3.52082e6i 1.25906i −0.776977 0.629529i \(-0.783248\pi\)
0.776977 0.629529i \(-0.216752\pi\)
\(380\) −983882. 876249.i −0.349530 0.311292i
\(381\) −2.16253e6 2.14095e6i −0.763219 0.755605i
\(382\) −394183. + 1.03529e6i −0.138210 + 0.362997i
\(383\) 598408. + 1.03647e6i 0.208449 + 0.361045i 0.951226 0.308494i \(-0.0998250\pi\)
−0.742777 + 0.669539i \(0.766492\pi\)
\(384\) −958744. 2.72584e6i −0.331799 0.943350i
\(385\) −2.01320e6 + 3.48697e6i −0.692207 + 1.19894i
\(386\) 2.12011e6 + 2.60360e6i 0.724251 + 0.889419i
\(387\) −1.92400e6 + 3.41100e6i −0.653022 + 1.15772i
\(388\) −507729. + 2.45424e6i −0.171219 + 0.827634i
\(389\) 1.22413e6 + 706752.i 0.410160 + 0.236806i 0.690859 0.722990i \(-0.257233\pi\)
−0.280698 + 0.959796i \(0.590566\pi\)
\(390\) 4.47289e6 2.03305e6i 1.48911 0.676840i
\(391\) −259742. + 149962.i −0.0859213 + 0.0496067i
\(392\) 1.57703e6 + 1.00594e6i 0.518353 + 0.330641i
\(393\) −3.82576e6 1.00458e6i −1.24950 0.328098i
\(394\) −90169.1 559454.i −0.0292629 0.181561i
\(395\) −2.02502e6 −0.653035
\(396\) −4.21037e6 827101.i −1.34922 0.265046i
\(397\) 1.97577e6 0.629160 0.314580 0.949231i \(-0.398136\pi\)
0.314580 + 0.949231i \(0.398136\pi\)
\(398\) −362572. 2.24958e6i −0.114733 0.711858i
\(399\) −150128. 549257.i −0.0472096 0.172720i
\(400\) −602315. 5.18720e6i −0.188224 1.62100i
\(401\) −650613. + 375632.i −0.202052 + 0.116654i −0.597612 0.801785i \(-0.703884\pi\)
0.395561 + 0.918440i \(0.370550\pi\)
\(402\) −267519. + 2.74965e6i −0.0825639 + 0.848619i
\(403\) −399790. 230819.i −0.122622 0.0707960i
\(404\) −813650. 168327.i −0.248019 0.0513097i
\(405\) 4.58307e6 2.77003e6i 1.38841 0.839165i
\(406\) 2.58087e6 + 3.16944e6i 0.777052 + 0.954262i
\(407\) −1.16472e6 + 2.01736e6i −0.348527 + 0.603666i
\(408\) 1.30001e6 + 403547.i 0.386631 + 0.120017i
\(409\) 1.22030e6 + 2.11362e6i 0.360710 + 0.624768i 0.988078 0.153955i \(-0.0492011\pi\)
−0.627368 + 0.778723i \(0.715868\pi\)
\(410\) 2.32135e6 6.09683e6i 0.681995 1.79120i
\(411\) 1.88127e6 514206.i 0.549346 0.150153i
\(412\) 528122. 592994.i 0.153282 0.172110i
\(413\) 433490.i 0.125056i
\(414\) −657293. + 546283.i −0.188477 + 0.156645i
\(415\) 7.13189e6i 2.03275i
\(416\) 3.44977e6 + 874265.i 0.977364 + 0.247691i
\(417\) −710764. + 2.70681e6i −0.200164 + 0.762287i
\(418\) −1.32437e6 504251.i −0.370740 0.141158i
\(419\) 3.49913e6 + 6.06068e6i 0.973701 + 1.68650i 0.684158 + 0.729334i \(0.260170\pi\)
0.289543 + 0.957165i \(0.406497\pi\)
\(420\) 1.61847e6 3.26023e6i 0.447695 0.901832i
\(421\) 575740. 997211.i 0.158315 0.274209i −0.775946 0.630799i \(-0.782727\pi\)
0.934261 + 0.356590i \(0.116061\pi\)
\(422\) −2.72714e6 + 2.22071e6i −0.745465 + 0.607030i
\(423\) −4.05102e6 2.28501e6i −1.10081 0.620922i
\(424\) −703220. 1.35275e6i −0.189966 0.365429i
\(425\) 2.13043e6 + 1.23001e6i 0.572131 + 0.330320i
\(426\) −3.53289e6 + 4.94253e6i −0.943205 + 1.31955i
\(427\) −823733. + 475582.i −0.218633 + 0.126228i
\(428\) 3.21891e6 1.06528e6i 0.849375 0.281095i
\(429\) 3.71807e6 3.75554e6i 0.975382 0.985211i
\(430\) −8.16253e6 + 1.31558e6i −2.12889 + 0.343121i
\(431\) −61287.6 −0.0158920 −0.00794601 0.999968i \(-0.502529\pi\)
−0.00794601 + 0.999968i \(0.502529\pi\)
\(432\) 3.84559e6 + 507305.i 0.991411 + 0.130786i
\(433\) −6.42481e6 −1.64680 −0.823399 0.567462i \(-0.807925\pi\)
−0.823399 + 0.567462i \(0.807925\pi\)
\(434\) −337636. + 54417.9i −0.0860447 + 0.0138681i
\(435\) −8.93204e6 + 9.02205e6i −2.26322 + 2.28603i
\(436\) −731918. + 242224.i −0.184394 + 0.0610240i
\(437\) −244451. + 141134.i −0.0612335 + 0.0353532i
\(438\) −1.22157e6 + 1.70899e6i −0.304253 + 0.425651i
\(439\) 1.53160e6 + 884268.i 0.379301 + 0.218989i 0.677514 0.735510i \(-0.263057\pi\)
−0.298213 + 0.954499i \(0.596391\pi\)
\(440\) −4.17832e6 8.03762e6i −1.02889 1.97923i
\(441\) −2.16191e6 + 1.27725e6i −0.529347 + 0.312737i
\(442\) −1.30001e6 + 1.05859e6i −0.316512 + 0.257735i
\(443\) 3.28943e6 5.69747e6i 0.796364 1.37934i −0.125605 0.992080i \(-0.540087\pi\)
0.921969 0.387263i \(-0.126579\pi\)
\(444\) 936354. 1.88618e6i 0.225415 0.454073i
\(445\) 3.98696e6 + 6.90562e6i 0.954425 + 1.65311i
\(446\) 6.82250e6 + 2.59765e6i 1.62408 + 0.618362i
\(447\) 1.80885e6 6.88869e6i 0.428188 1.63068i
\(448\) 2.39072e6 1.11150e6i 0.562772 0.261647i
\(449\) 974339.i 0.228084i 0.993476 + 0.114042i \(0.0363798\pi\)
−0.993476 + 0.114042i \(0.963620\pi\)
\(450\) 6.57596e6 + 2.42857e6i 1.53083 + 0.565352i
\(451\) 7.01703e6i 1.62447i
\(452\) 192774. 216454.i 0.0443816 0.0498332i
\(453\) 3.29306e6 900092.i 0.753970 0.206083i
\(454\) 1.75129e6 4.59961e6i 0.398766 1.04732i
\(455\) 2.24147e6 + 3.88234e6i 0.507580 + 0.879155i
\(456\) 1.22348e6 + 379791.i 0.275540 + 0.0855327i
\(457\) 2.33316e6 4.04116e6i 0.522583 0.905140i −0.477072 0.878864i \(-0.658302\pi\)
0.999655 0.0262754i \(-0.00836468\pi\)
\(458\) −393946. 483787.i −0.0877552 0.107768i
\(459\) −1.27250e6 + 1.31137e6i −0.281921 + 0.290531i
\(460\) −1.76696e6 365545.i −0.389342 0.0805463i
\(461\) 2.23506e6 + 1.29041e6i 0.489820 + 0.282798i 0.724500 0.689275i \(-0.242071\pi\)
−0.234680 + 0.972073i \(0.575404\pi\)
\(462\) 379113. 3.89665e6i 0.0826350 0.849349i
\(463\) −2.00581e6 + 1.15806e6i −0.434849 + 0.251060i −0.701410 0.712758i \(-0.747446\pi\)
0.266561 + 0.963818i \(0.414113\pi\)
\(464\) −9.13447e6 + 1.06065e6i −1.96965 + 0.228707i
\(465\) −280074. 1.02468e6i −0.0600677 0.219763i
\(466\) 317486. + 1.96984e6i 0.0677267 + 0.420210i
\(467\) 26296.7 0.00557969 0.00278984 0.999996i \(-0.499112\pi\)
0.00278984 + 0.999996i \(0.499112\pi\)
\(468\) −3.14139e6 + 3.59928e6i −0.662990 + 0.759629i
\(469\) −2.52068e6 −0.529159
\(470\) −1.56243e6 9.69411e6i −0.326255 2.02425i
\(471\) −3.43256e6 901333.i −0.712962 0.187212i
\(472\) 822248. + 524487.i 0.169882 + 0.108363i
\(473\) −7.70152e6 + 4.44648e6i −1.58279 + 0.913825i
\(474\) 1.79253e6 814754.i 0.366456 0.166564i
\(475\) 2.00501e6 + 1.15760e6i 0.407740 + 0.235409i
\(476\) −251613. + 1.21624e6i −0.0508997 + 0.246037i
\(477\) 2.04654e6 20520.8i 0.411835 0.00412950i
\(478\) 2.46976e6 + 3.03300e6i 0.494408 + 0.607159i
\(479\) −3.17700e6 + 5.50272e6i −0.632671 + 1.09582i 0.354332 + 0.935120i \(0.384708\pi\)
−0.987003 + 0.160699i \(0.948625\pi\)
\(480\) 4.22583e6 + 7.01456e6i 0.837161 + 1.38962i
\(481\) 1.29678e6 + 2.24610e6i 0.255567 + 0.442655i
\(482\) 150877. 396267.i 0.0295806 0.0776909i
\(483\) −554171. 548642.i −0.108088 0.107009i
\(484\) −3.42772e6 3.05274e6i −0.665107 0.592347i
\(485\) 7.10276e6i 1.37111i
\(486\) −2.94240e6 + 4.29599e6i −0.565082 + 0.825035i
\(487\) 7.12992e6i 1.36227i −0.732159 0.681134i \(-0.761487\pi\)
0.732159 0.681134i \(-0.238513\pi\)
\(488\) 94558.6 2.13788e6i 0.0179743 0.406382i
\(489\) 5.10394e6 + 5.05302e6i 0.965235 + 0.955605i
\(490\) −4.95429e6 1.88633e6i −0.932161 0.354917i
\(491\) −4.12052e6 7.13694e6i −0.771343 1.33601i −0.936827 0.349793i \(-0.886252\pi\)
0.165483 0.986213i \(1.55292\pi\)
\(492\) 398180. + 6.33086e6i 0.0741595 + 1.17910i
\(493\) 2.16599e6 3.75161e6i 0.401365 0.695185i
\(494\) −1.22348e6 + 996273.i −0.225568 + 0.183680i
\(495\) 1.21599e7 121928.i 2.23058 0.0223661i
\(496\) 305291. 706273.i 0.0557199 0.128905i
\(497\) −4.80061e6 2.77164e6i −0.871778 0.503321i
\(498\) −2.86947e6 6.31311e6i −0.518476 1.14070i
\(499\) 7.31706e6 4.22451e6i 1.31548 0.759495i 0.332485 0.943109i \(-0.392113\pi\)
0.982998 + 0.183614i \(0.0587796\pi\)
\(500\) 1.80048e6 + 5.44044e6i 0.322079 + 0.973215i
\(501\) −8.64147e6 2.26910e6i −1.53813 0.403887i
\(502\) 7.43352e6 1.19809e6i 1.31654 0.212192i
\(503\) 6.32200e6 1.11413 0.557063 0.830470i \(-0.311928\pi\)
0.557063 + 0.830470i \(0.311928\pi\)
\(504\) −120926. + 3.53712e6i −0.0212053 + 0.620260i
\(505\) 2.35476e6 0.410883
\(506\) −1.91606e6 + 308818.i −0.332685 + 0.0536199i
\(507\) −25319.1 92632.2i −0.00437451 0.0160045i
\(508\) 1.96265e6 + 5.93047e6i 0.337430 + 1.01960i
\(509\) −194691. + 112405.i −0.0333082 + 0.0192305i −0.516562 0.856250i \(-0.672788\pi\)
0.483253 + 0.875481i \(0.339455\pi\)
\(510\) −3.83961e6 373563.i −0.653674 0.0635973i
\(511\) −1.65992e6 958354.i −0.281212 0.162358i
\(512\) −784254. + 5.87957e6i −0.132215 + 0.991221i
\(513\) −1.19759e6 + 1.23417e6i −0.200916 + 0.207053i
\(514\) 942070. 767124.i 0.157281 0.128073i
\(515\) −1.12523e6 + 1.94895e6i −0.186949 + 0.323805i
\(516\) 6.69611e6 4.44869e6i 1.10713 0.735543i
\(517\) −5.28079e6 9.14660e6i −0.868906 1.50499i
\(518\) 1.79563e6 + 683681.i 0.294031 + 0.111951i
\(519\) 4.92991e6 1.34749e6i 0.803379 0.219587i
\(520\) −1.00761e7 445665.i −1.63412 0.0722770i
\(521\) 5.59008e6i 0.902243i −0.892462 0.451122i \(-0.851024\pi\)
0.892462 0.451122i \(-0.148976\pi\)
\(522\) 4.27662e6 1.15800e7i 0.686948 1.86009i
\(523\) 193807.i 0.0309825i −0.999880 0.0154912i \(-0.995069\pi\)
0.999880 0.0154912i \(-0.00493121\pi\)
\(524\) 6.06362e6 + 5.40028e6i 0.964725 + 0.859188i
\(525\) −1.62445e6 + 6.18641e6i −0.257221 + 0.979581i
\(526\) 1.31966e6 3.46597e6i 0.207968 0.546211i
\(527\) 181232. + 313903.i 0.0284255 + 0.0492345i
\(528\) 6.93251e6 + 5.43373e6i 1.08220 + 0.848229i
\(529\) 3.02488e6 5.23925e6i 0.469969 0.814011i
\(530\) 2.72832e6 + 3.35052e6i 0.421896 + 0.518111i
\(531\) −1.12720e6 + 665945.i −0.173486 + 0.102495i
\(532\) −236800. + 1.14464e6i −0.0362747 + 0.175343i
\(533\) −6.76596e6 3.90633e6i −1.03160 0.595594i
\(534\) −6.30767e6 4.50868e6i −0.957229 0.684221i
\(535\) −8.32179e6 + 4.80459e6i −1.25699 + 0.725725i
\(536\) 3.04982e6 4.78126e6i 0.458524 0.718837i
\(537\) −1.35019e6 + 1.36379e6i −0.202050 + 0.204086i
\(538\) 382136. + 2.37096e6i 0.0569196 + 0.353157i
\(539\) −5.70204e6 −0.845392
\(540\) −1.09639e7 + 800016.i −1.61801 + 0.118063i
\(541\) 3.08637e6 0.453373 0.226686 0.973968i \(-0.427211\pi\)
0.226686 + 0.973968i \(0.427211\pi\)
\(542\) 248954. + 1.54463e6i 0.0364016 + 0.225854i
\(543\) 3.42057e6 3.45504e6i 0.497850 0.502867i
\(544\) −2.00254e6 1.94881e6i −0.290124 0.282340i
\(545\) 1.89222e6 1.09247e6i 0.272885 0.157550i
\(546\) −3.54618e6 2.53478e6i −0.509071 0.363881i
\(547\) 2.05052e6 + 1.18387e6i 0.293018 + 0.169174i 0.639302 0.768955i \(-0.279223\pi\)
−0.346284 + 0.938130i \(0.612557\pi\)
\(548\) −3.92051e6 811068.i −0.557688 0.115373i
\(549\) 2.50210e6 + 1.41133e6i 0.354303 + 0.199847i
\(550\) 1.00515e7 + 1.23437e7i 1.41685 + 1.73996i
\(551\) 2.03848e6 3.53075e6i 0.286041 0.495437i
\(552\) 1.71117e6 387346.i 0.239027 0.0541068i
\(553\) 898281. + 1.55587e6i 0.124911 + 0.216352i
\(554\) −3.05329e6 + 8.01921e6i −0.422663 + 1.11009i
\(555\) −1.51571e6 + 5.77231e6i −0.208874 + 0.795458i
\(556\) 3.82082e6 4.29015e6i 0.524167 0.588553i
\(557\) 1.20970e7i 1.65211i 0.563589 + 0.826056i \(0.309420\pi\)
−0.563589 + 0.826056i \(0.690580\pi\)
\(558\) 660193. + 794351.i 0.0897605 + 0.108001i
\(559\) 9.90128e6i 1.34018i
\(560\) −5.99677e6 + 4.45737e6i −0.808067 + 0.600633i
\(561\) −4.00257e6 + 1.09402e6i −0.536948 + 0.146764i
\(562\) −5.07635e6 1.93281e6i −0.677971 0.258135i
\(563\) −2.49691e6 4.32478e6i −0.331996 0.575033i 0.650907 0.759157i \(-0.274389\pi\)
−0.982903 + 0.184124i \(0.941055\pi\)
\(564\) 5.28342e6 + 7.95253e6i 0.699387 + 1.05271i
\(565\) −410729. + 711403.i −0.0541295 + 0.0937551i
\(566\) 3.95345e6 3.21928e6i 0.518722 0.422394i
\(567\) −4.16129e6 2.29252e6i −0.543589 0.299471i
\(568\) 1.10656e7 5.75241e6i 1.43915 0.748134i
\(569\) 5.38818e6 + 3.11087e6i 0.697688 + 0.402810i 0.806486 0.591253i \(-0.201367\pi\)
−0.108798 + 0.994064i \(0.534700\pi\)
\(570\) −3.61357e6 351572.i −0.465854 0.0453239i
\(571\) −8.67863e6 + 5.01061e6i −1.11394 + 0.643132i −0.939846 0.341597i \(-0.889032\pi\)
−0.174091 + 0.984730i \(0.555699\pi\)
\(572\) −1.02991e7 + 3.40843e6i −1.31616 + 0.435576i
\(573\) 804874. + 2.94470e6i 0.102410 + 0.374675i
\(574\) −5.71407e6 + 920957.i −0.723879 + 0.116670i
\(575\) 3.17072e6 0.399934
\(576\) −6.56295e6 4.50900e6i −0.824219 0.566271i
\(577\) −6.84784e6 −0.856276 −0.428138 0.903713i \(-0.640830\pi\)
−0.428138 + 0.903713i \(0.640830\pi\)
\(578\) −6.63003e6 + 1.06858e6i −0.825460 + 0.133042i
\(579\) 8.94913e6 + 2.34989e6i 1.10939 + 0.291307i
\(580\) 2.47419e7 8.18816e6i 3.05395 1.01069i
\(581\) 5.47960e6 3.16365e6i 0.673455 0.388819i
\(582\) 2.85775e6 + 6.28732e6i 0.349717 + 0.769410i
\(583\) 4.02487e6 + 2.32376e6i 0.490434 + 0.283152i
\(584\) 3.82618e6 1.98902e6i 0.464230 0.241328i
\(585\) 6.65176e6 1.17927e7i 0.803612 1.42470i
\(586\) 5.19996e6 4.23431e6i 0.625541 0.509376i
\(587\) 636726. 1.10284e6i 0.0762706 0.132105i −0.825368 0.564596i \(-0.809032\pi\)
0.901638 + 0.432491i \(0.142365\pi\)
\(588\) 5.14446e6 323561.i 0.613615 0.0385934i
\(589\) 170563. + 295424.i 0.0202580 + 0.0350879i
\(590\) −2.58311e6 983513.i −0.305502 0.116319i
\(591\) −1.10972e6 1.09865e6i −0.130690 0.129387i
\(592\) −3.46938e6 + 2.57878e6i −0.406862 + 0.302419i
\(593\) 1.18555e6i 0.138447i 0.997601 + 0.0692233i \(0.0220521\pi\)
−0.997601 + 0.0692233i \(0.977948\pi\)
\(594\) −1.07148e7 + 5.00039e6i −1.24600 + 0.581484i
\(595\) 3.51987e6i 0.407600i
\(596\) −9.72378e6 + 1.09182e7i −1.12129 + 1.25903i
\(597\) −4.46220e6 4.41769e6i −0.512405 0.507293i
\(598\) −768888. + 2.01942e6i −0.0879246 + 0.230926i
\(599\) 124447. + 215548.i 0.0141715 + 0.0245458i 0.873024 0.487677i \(-0.162156\pi\)
−0.858853 + 0.512223i \(0.828822\pi\)
\(600\) −9.76901e6 1.05663e7i −1.10783 1.19824i
\(601\) −2.20084e6 + 3.81197e6i −0.248544 + 0.430491i −0.963122 0.269065i \(-0.913285\pi\)
0.714578 + 0.699556i \(0.246619\pi\)
\(602\) 4.63163e6 + 5.68788e6i 0.520885 + 0.639675i
\(603\) 3.87238e6 + 6.55449e6i 0.433695 + 0.734084i
\(604\) −6.86265e6 1.41973e6i −0.765420 0.158349i
\(605\) 1.12656e7 + 6.50422e6i 1.25132 + 0.722449i
\(606\) −2.08442e6 + 947425.i −0.230571 + 0.104800i
\(607\) −5.35875e6 + 3.09387e6i −0.590325 + 0.340824i −0.765226 0.643762i \(-0.777373\pi\)
0.174901 + 0.984586i \(0.444040\pi\)
\(608\) −1.88465e6 1.83408e6i −0.206763 0.201215i
\(609\) 1.08940e7 + 2.86059e6i 1.19027 + 0.312545i
\(610\) 965032. + 5.98754e6i 0.105007 + 0.651514i
\(611\) −1.17591e7 −1.27430
\(612\) 3.54910e6 1.21417e6i 0.383036 0.131039i
\(613\) −1.13948e7 −1.22478 −0.612389 0.790557i \(-0.709791\pi\)
−0.612389 + 0.790557i \(0.709791\pi\)
\(614\) −666933. 4.13798e6i −0.0713939 0.442963i
\(615\) −4.73992e6 1.73414e7i −0.505339 1.84883i
\(616\) −4.32203e6 + 6.77572e6i −0.458918 + 0.719456i
\(617\) 1.05792e7 6.10788e6i 1.11876 0.645918i 0.177678 0.984089i \(-0.443141\pi\)
0.941085 + 0.338170i \(0.109808\pi\)
\(618\) 211895. 2.17793e6i 0.0223177 0.229389i
\(619\) 1.02681e7 + 5.92826e6i 1.07711 + 0.621872i 0.930116 0.367265i \(-0.119706\pi\)
0.146997 + 0.989137i \(0.453039\pi\)
\(620\) −441767. + 2.13540e6i −0.0461545 + 0.223100i
\(621\) −575285. + 2.28385e6i −0.0598624 + 0.237650i
\(622\) −9.84284e6 1.20875e7i −1.02010 1.25274i
\(623\) 3.53717e6 6.12655e6i 0.365120 0.632406i
\(624\) 9.09859e6 3.65955e6i 0.935433 0.376241i
\(625\) −152246. 263699.i −0.0155900 0.0270027i
\(626\) 5.48039e6 1.43938e7i 0.558953 1.46804i
\(627\) −3.76694e6 + 1.02962e6i −0.382666 + 0.104594i
\(628\) 5.44042e6 + 4.84526e6i 0.550470 + 0.490250i
\(629\) 2.03639e6i 0.205227i
\(630\) −1.69522e6 9.88598e6i −0.170167 0.992358i
\(631\) 2.84995e6i 0.284947i 0.989799 + 0.142474i \(0.0455056\pi\)
−0.989799 + 0.142474i \(0.954494\pi\)
\(632\) −4.03804e6 178603.i −0.402140 0.0177867i
\(633\) −2.46139e6 + 9.37377e6i −0.244158 + 0.929833i
\(634\) 4.46446e6 + 1.69983e6i 0.441109 + 0.167951i
\(635\) −8.85189e6 1.53319e7i −0.871168 1.50891i
\(636\) −3.76316e6 1.86814e6i −0.368901 0.183133i
\(637\) −3.17428e6 + 5.49802e6i −0.309954 + 0.536856i
\(638\) 2.17368e7 1.77002e7i 2.11419 1.72158i
\(639\) 167862. + 1.67409e7i 0.0162630 + 1.62191i
\(640\) −1.19920e6 1.67678e7i −0.115729 1.61818i
\(641\) 174871. + 100962.i 0.0168102 + 0.00970538i 0.508382 0.861132i \(-0.330244\pi\)
−0.491571 + 0.870837i \(0.663577\pi\)
\(642\) 5.43330e6 7.60122e6i 0.520267 0.727856i
\(643\) −3.06513e6 + 1.76965e6i −0.292362 + 0.168795i −0.639007 0.769201i \(-0.720654\pi\)
0.346644 + 0.937997i \(0.387321\pi\)
\(644\) 502950. + 1.51975e6i 0.0477871 + 0.144396i
\(645\) −1.60294e7 + 1.61910e7i −1.51712 + 1.53241i
\(646\) 1.22306e6 197124.i 0.115310 0.0185849i
\(647\) 1.88702e7 1.77221 0.886106 0.463482i \(-0.153400\pi\)
0.886106 + 0.463482i \(0.153400\pi\)
\(648\) 9.38330e6 5.11943e6i 0.877846 0.478944i
\(649\) −2.97298e6 −0.277064
\(650\) 1.74976e7 2.82015e6i 1.62441 0.261812i
\(651\) −663044. + 669726.i −0.0613183 + 0.0619362i
\(652\) −4.63219e6 1.39969e7i −0.426744 1.28948i
\(653\) 7.69628e6 4.44345e6i 0.706314 0.407790i −0.103381 0.994642i \(-0.532966\pi\)
0.809695 + 0.586851i \(0.199633\pi\)
\(654\) −1.23543e6 + 1.72837e6i −0.112947 + 0.158013i
\(655\) −1.99289e7 1.15059e7i −1.81501 1.04790i
\(656\) 5.16668e6 1.19528e7i 0.468761 1.08445i
\(657\) 58041.9 + 5.78852e6i 0.00524600 + 0.523184i
\(658\) −6.75513e6 + 5.50068e6i −0.608232 + 0.495281i
\(659\) −3.43642e6 + 5.95205e6i −0.308242 + 0.533892i −0.977978 0.208708i \(-0.933074\pi\)
0.669736 + 0.742600i \(0.266407\pi\)
\(660\) −2.23595e7 1.10999e7i −1.99803 0.991881i
\(661\) −219686. 380507.i −0.0195568 0.0338734i 0.856081 0.516841i \(-0.172892\pi\)
−0.875638 + 0.482968i \(0.839559\pi\)
\(662\) −9.30838e6 3.54414e6i −0.825523 0.314315i
\(663\) −1.17332e6 + 4.46840e6i −0.103666 + 0.394791i
\(664\) −629019. + 1.42215e7i −0.0553660 + 1.25177i
\(665\) 3.31266e6i 0.290484i
\(666\) −980758. 5.71945e6i −0.0856794 0.499653i
\(667\) 5.58352e6i 0.485952i
\(668\) 1.36963e7 + 1.21979e7i 1.18757 + 1.05766i
\(669\) 1.94054e7 5.30408e6i 1.67632 0.458189i
\(670\) −5.71899e6 + 1.50204e7i −0.492189 + 1.29269i
\(671\) 3.26167e6 + 5.64937e6i 0.279662 + 0.484388i
\(672\) 3.51490e6 6.35841e6i 0.300255 0.543157i
\(673\) −4.79543e6 + 8.30592e6i −0.408122 + 0.706887i −0.994679 0.103020i \(-0.967149\pi\)
0.586558 + 0.809908i \(0.300483\pi\)
\(674\) 8.79935e6 + 1.08061e7i 0.746107 + 0.916259i
\(675\) 1.85820e7 5.27980e6i 1.56976 0.446024i
\(676\) −39936.4 + 193043.i −0.00336126 + 0.0162475i
\(677\) −4.71537e6 2.72242e6i −0.395407 0.228288i 0.289093 0.957301i \(-0.406646\pi\)
−0.684500 + 0.729013i \(0.739980\pi\)
\(678\) 77345.7 794984.i 0.00646192 0.0664178i
\(679\) −5.45721e6 + 3.15072e6i −0.454252 + 0.262262i
\(680\) 6.67654e6 + 4.25876e6i 0.553706 + 0.353192i
\(681\) −3.57591e6 1.30828e7i −0.295474 1.08102i
\(682\) 373212. + 2.31559e6i 0.0307252 + 0.190634i
\(683\) −1.41906e7 −1.16399 −0.581995 0.813193i \(-0.697728\pi\)
−0.581995 + 0.813193i \(0.697728\pi\)
\(684\) 3.34016e6 1.14269e6i 0.272978 0.0933874i
\(685\) 1.13462e7 0.923901
\(686\) 1.96557e6 + 1.21954e7i 0.159470 + 0.989430i
\(687\) −1.66288e6 436643.i −0.134421 0.0352967i
\(688\) −1.63927e7 + 1.90345e6i −1.32032 + 0.153310i
\(689\) 4.48123e6 2.58724e6i 0.359625 0.207629i
\(690\) −4.52661e6 + 2.05747e6i −0.361952 + 0.164517i
\(691\) 1.74007e7 + 1.00463e7i 1.38634 + 0.800406i 0.992901 0.118943i \(-0.0379507\pi\)
0.393443 + 0.919349i \(0.371284\pi\)
\(692\) −1.02738e7 2.12542e6i −0.815578 0.168725i
\(693\) −5.48771e6 9.28865e6i −0.434068 0.734716i
\(694\) 3.38156e6 + 4.15274e6i 0.266513 + 0.327293i
\(695\) −8.14072e6 + 1.41001e7i −0.639295 + 1.10729i
\(696\) −1.86069e7 + 1.72029e7i −1.45596 + 1.34610i
\(697\) 3.06713e6 + 5.31243e6i 0.239139 + 0.414201i
\(698\) −7.91821e6 + 2.07965e7i −0.615161 + 1.61567i
\(699\) 3.90733e6 + 3.86835e6i 0.302473 + 0.299455i
\(700\) 8.73247e6 9.80512e6i 0.673584 0.756324i
\(701\) 1.36721e7i 1.05085i −0.850841 0.525423i \(-0.823907\pi\)
0.850841 0.525423i \(-0.176093\pi\)
\(702\) −1.14337e6 + 1.31151e7i −0.0875681 + 1.00445i
\(703\) 1.91651e6i 0.146259i
\(704\) −7.62298e6 1.63961e7i −0.579687 1.24684i
\(705\) −1.92290e7 1.90371e7i −1.45708 1.44254i
\(706\) 2.04301e7 + 7.77871e6i 1.54262 + 0.587348i
\(707\) −1.04455e6 1.80922e6i −0.0785927 0.136126i
\(708\) 2.68227e6 168701.i 0.201103 0.0126484i
\(709\) −1.00757e6 + 1.74517e6i −0.0752767 + 0.130383i −0.901207 0.433390i \(-0.857317\pi\)
0.825930 + 0.563773i \(0.190651\pi\)
\(710\) −2.74076e7 + 2.23179e7i −2.04045 + 1.66153i
\(711\) 2.66573e6 4.72598e6i 0.197761 0.350605i
\(712\) 7.34124e6 + 1.41220e7i 0.542712 + 1.04399i
\(713\) 404592. + 233591.i 0.0298053 + 0.0172081i
\(714\) 1.41620e6 + 3.11577e6i 0.103963 + 0.228728i
\(715\) 2.66261e7 1.53726e7i 1.94779 1.12456i
\(716\) 3.74003e6 1.23774e6i 0.272642 0.0902292i
\(717\) 1.04251e7 + 2.73744e6i 0.757322 + 0.198860i
\(718\) 6.90214e6 1.11244e6i 0.499658 0.0805316i
\(719\) 1.07956e7 0.778796 0.389398 0.921070i \(-0.372683\pi\)
0.389398 + 0.921070i \(0.372683\pi\)
\(720\) 2.08029e7 + 8.74570e6i 1.49552 + 0.628729i
\(721\) 1.99657e6 0.143036
\(722\) −1.26774e7 + 2.04326e6i −0.905082 + 0.145875i
\(723\) −308073. 1.12711e6i −0.0219184 0.0801902i
\(724\) −9.47501e6 + 3.13570e6i −0.671790 + 0.222325i
\(725\) −3.96610e7 + 2.28983e7i −2.80233 + 1.61792i
\(726\) −1.25892e7 1.22483e6i −0.886456 0.0862452i
\(727\) −2.00659e7 1.15851e7i −1.40807 0.812947i −0.412864 0.910793i \(-0.635472\pi\)
−0.995202 + 0.0978454i \(0.968805\pi\)
\(728\) 4.12725e6 + 7.93938e6i 0.288624 + 0.555211i
\(729\) 431553. + 1.43424e7i 0.0300757 + 0.999548i
\(730\) −9.47678e6 + 7.71691e6i −0.658194 + 0.535965i
\(731\) 3.88709e6 6.73265e6i 0.269049 0.466007i
\(732\) −3.26329e6 4.91186e6i −0.225101 0.338819i
\(733\) −3.96332e6 6.86468e6i −0.272458 0.471911i 0.697033 0.717039i \(-0.254503\pi\)
−0.969491 + 0.245128i \(0.921170\pi\)
\(734\) 2.65981e6 + 1.01271e6i 0.182226 + 0.0693819i
\(735\) −1.40916e7 + 3.85166e6i −0.962149 + 0.262984i
\(736\) −3.49120e6 884765.i −0.237564 0.0602051i
\(737\) 1.72875e7i 1.17237i
\(738\) 1.11730e7 + 1.34434e7i 0.755139 + 0.908591i
\(739\) 2.45640e7i 1.65458i 0.561776 + 0.827289i \(0.310118\pi\)
−0.561776 + 0.827289i \(0.689882\pi\)
\(740\) 8.14795e6 9.14880e6i 0.546977 0.614164i
\(741\) −1.10425e6 + 4.20534e6i −0.0738793 + 0.281356i
\(742\) 1.36403e6 3.58250e6i 0.0909521 0.238878i
\(743\) −2.79240e6 4.83658e6i −0.185569 0.321415i 0.758199 0.652023i \(-0.226080\pi\)
−0.943768 + 0.330608i \(0.892746\pi\)
\(744\) −468115. 2.06798e6i −0.0310042 0.136967i
\(745\) 2.07177e7 3.58841e7i 1.36757 2.36871i
\(746\) −1.62982e7 2.00150e7i −1.07224 1.31677i
\(747\) −1.66444e7 9.38839e6i −1.09136 0.615587i
\(748\) 8.34126e6 + 1.72562e6i 0.545102 + 0.112770i
\(749\) 7.38296e6 + 4.26255e6i 0.480868 + 0.277629i
\(750\) 1.28472e7 + 9.18309e6i 0.833979 + 0.596123i
\(751\) 1.13834e7 6.57223e6i 0.736501 0.425219i −0.0842946 0.996441i \(-0.526864\pi\)
0.820796 + 0.571222i \(0.193530\pi\)
\(752\) −2.26061e6 1.94686e7i −0.145774 1.25542i
\(753\) 1.45978e7 1.47449e7i 0.938212 0.947666i
\(754\) −4.96618e6 3.08127e7i −0.318123 1.97379i
\(755\) 1.98610e7 1.26804
\(756\) 5.47817e6 + 8.06895e6i 0.348603 + 0.513467i
\(757\) 1.33312e7 0.845528 0.422764 0.906240i \(-0.361060\pi\)
0.422764 + 0.906240i \(0.361060\pi\)
\(758\) 3.16916e6 + 1.96630e7i 0.200341 + 1.24302i
\(759\) −3.76273e6 + 3.80065e6i −0.237082 + 0.239471i
\(760\) 6.28349e6 + 4.00805e6i 0.394609 + 0.251709i
\(761\) 9.74299e6 5.62512e6i 0.609861 0.352103i −0.163050 0.986618i \(-0.552133\pi\)